Diff for /imach/src/imach.c between versions 1.42 and 1.100

version 1.42, 2002/05/21 18:44:41 version 1.100, 2004/07/12 18:29:06
Line 1 Line 1
 /* $Id$  /* $Id$
    Interpolated Markov Chain    $State$
     $Log$
   Short summary of the programme:    Revision 1.100  2004/07/12 18:29:06  brouard
      Add version for Mac OS X. Just define UNIX in Makefile
   This program computes Healthy Life Expectancies from  
   cross-longitudinal data. Cross-longitudinal data consist in: -1- a    Revision 1.99  2004/06/05 08:57:40  brouard
   first survey ("cross") where individuals from different ages are    *** empty log message ***
   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    Revision 1.98  2004/05/16 15:05:56  brouard
   second wave of interviews ("longitudinal") which measure each change    New version 0.97 . First attempt to estimate force of mortality
   (if any) in individual health status.  Health expectancies are    directly from the data i.e. without the need of knowing the health
   computed from the time spent in each health state according to a    state at each age, but using a Gompertz model: log u =a + b*age .
   model. More health states you consider, more time is necessary to reach the    This is the basic analysis of mortality and should be done before any
   Maximum Likelihood of the parameters involved in the model.  The    other analysis, in order to test if the mortality estimated from the
   simplest model is the multinomial logistic model where pij is the    cross-longitudinal survey is different from the mortality estimated
   probability to be observed in state j at the second wave    from other sources like vital statistic data.
   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 same imach parameter file can be used but the option for mle should be -3.
   '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    Agnès, who wrote this part of the code, tried to keep most of the
   where the markup *Covariates have to be included here again* invites    former routines in order to include the new code within the former code.
   you to do it.  More covariates you add, slower the  
   convergence.    The output is very simple: only an estimate of the intercept and of
     the slope with 95% confident intervals.
   The advantage of this computer programme, compared to a simple  
   multinomial logistic model, is clear when the delay between waves is not    Current limitations:
   identical for each individual. Also, if a individual missed an    A) Even if you enter covariates, i.e. with the
   intermediate interview, the information is lost, but taken into    model= V1+V2 equation for example, the programm does only estimate a unique global model without covariates.
   account using an interpolation or extrapolation.      B) There is no computation of Life Expectancy nor Life Table.
   
   hPijx is the probability to be observed in state i at age x+h    Revision 1.97  2004/02/20 13:25:42  lievre
   conditional to the observed state i at age x. The delay 'h' can be    Version 0.96d. Population forecasting command line is (temporarily)
   split into an exact number (nh*stepm) of unobserved intermediate    suppressed.
   states. This elementary transition (by month or quarter trimester,  
   semester or year) is model as a multinomial logistic.  The hPx    Revision 1.96  2003/07/15 15:38:55  brouard
   matrix is simply the matrix product of nh*stepm elementary matrices    * imach.c (Repository): Errors in subdirf, 2, 3 while printing tmpout is
   and the contribution of each individual to the likelihood is simply    rewritten within the same printf. Workaround: many printfs.
   hPijx.  
     Revision 1.95  2003/07/08 07:54:34  brouard
   Also this programme outputs the covariance matrix of the parameters but also    * imach.c (Repository):
   of the life expectancies. It also computes the prevalence limits.    (Repository): Using imachwizard code to output a more meaningful covariance
      matrix (cov(a12,c31) instead of numbers.
   Authors: Nicolas Brouard (brouard@ined.fr) and Agnès Lièvre (lievre@ined.fr).  
            Institut national d'études démographiques, Paris.    Revision 1.94  2003/06/27 13:00:02  brouard
   This software have been partly granted by Euro-REVES, a concerted action    Just cleaning
   from the European Union.  
   It is copyrighted identically to a GNU software product, ie programme and    Revision 1.93  2003/06/25 16:33:55  brouard
   software can be distributed freely for non commercial use. Latest version    (Module): On windows (cygwin) function asctime_r doesn't
   can be accessed at http://euroreves.ined.fr/imach .    exist so I changed back to asctime which exists.
   **********************************************************************/    (Module): Version 0.96b
    
 #include <math.h>    Revision 1.92  2003/06/25 16:30:45  brouard
 #include <stdio.h>    (Module): On windows (cygwin) function asctime_r doesn't
 #include <stdlib.h>    exist so I changed back to asctime which exists.
 #include <unistd.h>  
     Revision 1.91  2003/06/25 15:30:29  brouard
 #define MAXLINE 256    * imach.c (Repository): Duplicated warning errors corrected.
 #define GNUPLOTPROGRAM "gnuplot"    (Repository): Elapsed time after each iteration is now output. It
 /*#define GNUPLOTPROGRAM "..\\gp37mgw\\wgnuplot"*/    helps to forecast when convergence will be reached. Elapsed time
 #define FILENAMELENGTH 80    is stamped in powell.  We created a new html file for the graphs
 /*#define DEBUG*/    concerning matrix of covariance. It has extension -cov.htm.
 #define windows  
 #define GLOCK_ERROR_NOPATH              -1      /* empty path */    Revision 1.90  2003/06/24 12:34:15  brouard
 #define GLOCK_ERROR_GETCWD              -2      /* cannot get cwd */    (Module): Some bugs corrected for windows. Also, when
     mle=-1 a template is output in file "or"mypar.txt with the design
 #define MAXPARM 30 /* Maximum number of parameters for the optimization */    of the covariance matrix to be input.
 #define NPARMAX 64 /* (nlstate+ndeath-1)*nlstate*ncovmodel */  
     Revision 1.89  2003/06/24 12:30:52  brouard
 #define NINTERVMAX 8    (Module): Some bugs corrected for windows. Also, when
 #define NLSTATEMAX 8 /* Maximum number of live states (for func) */    mle=-1 a template is output in file "or"mypar.txt with the design
 #define NDEATHMAX 8 /* Maximum number of dead states (for func) */    of the covariance matrix to be input.
 #define NCOVMAX 8 /* Maximum number of covariates */  
 #define MAXN 20000    Revision 1.88  2003/06/23 17:54:56  brouard
 #define YEARM 12. /* Number of months per year */    * imach.c (Repository): Create a sub-directory where all the secondary files are. Only imach, htm, gp and r(imach) are on the main directory. Correct time and other things.
 #define AGESUP 130  
 #define AGEBASE 40    Revision 1.87  2003/06/18 12:26:01  brouard
     Version 0.96
   
 int erreur; /* Error number */    Revision 1.86  2003/06/17 20:04:08  brouard
 int nvar;    (Module): Change position of html and gnuplot routines and added
 int cptcovn, cptcovage=0, cptcoveff=0,cptcov;    routine fileappend.
 int npar=NPARMAX;  
 int nlstate=2; /* Number of live states */    Revision 1.85  2003/06/17 13:12:43  brouard
 int ndeath=1; /* Number of dead states */    * imach.c (Repository): Check when date of death was earlier that
 int ncovmodel, ncovcol;     /* Total number of covariables including constant a12*1 +b12*x ncovmodel=2 */    current date of interview. It may happen when the death was just
 int popbased=0;    prior to the death. In this case, dh was negative and likelihood
     was wrong (infinity). We still send an "Error" but patch by
 int *wav; /* Number of waves for this individuual 0 is possible */    assuming that the date of death was just one stepm after the
 int maxwav; /* Maxim number of waves */    interview.
 int jmin, jmax; /* min, max spacing between 2 waves */    (Repository): Because some people have very long ID (first column)
 int mle, weightopt;    we changed int to long in num[] and we added a new lvector for
 int **mw; /* mw[mi][i] is number of the mi wave for this individual */    memory allocation. But we also truncated to 8 characters (left
 int **dh; /* dh[mi][i] is number of steps between mi,mi+1 for this individual */    truncation)
 double jmean; /* Mean space between 2 waves */    (Repository): No more line truncation errors.
 double **oldm, **newm, **savm; /* Working pointers to matrices */  
 double **oldms, **newms, **savms; /* Fixed working pointers to matrices */    Revision 1.84  2003/06/13 21:44:43  brouard
 FILE *fic,*ficpar, *ficparo,*ficres,  *ficrespl, *ficrespij, *ficrest,*ficresf,*ficrespop;    * imach.c (Repository): Replace "freqsummary" at a correct
 FILE *ficgp,*ficresprob,*ficpop;    place. It differs from routine "prevalence" which may be called
 FILE *ficreseij;    many times. Probs is memory consuming and must be used with
   char filerese[FILENAMELENGTH];    parcimony.
  FILE  *ficresvij;    Version 0.95a3 (should output exactly the same maximization than 0.8a2)
   char fileresv[FILENAMELENGTH];  
  FILE  *ficresvpl;    Revision 1.83  2003/06/10 13:39:11  lievre
   char fileresvpl[FILENAMELENGTH];    *** empty log message ***
   
 #define NR_END 1    Revision 1.82  2003/06/05 15:57:20  brouard
 #define FREE_ARG char*    Add log in  imach.c and  fullversion number is now printed.
 #define FTOL 1.0e-10  
   */
 #define NRANSI  /*
 #define ITMAX 200     Interpolated Markov Chain
   
 #define TOL 2.0e-4    Short summary of the programme:
     
 #define CGOLD 0.3819660    This program computes Healthy Life Expectancies from
 #define ZEPS 1.0e-10    cross-longitudinal data. Cross-longitudinal data consist in: -1- a
 #define SHFT(a,b,c,d) (a)=(b);(b)=(c);(c)=(d);    first survey ("cross") where individuals from different ages are
     interviewed on their health status or degree of disability (in the
 #define GOLD 1.618034    case of a health survey which is our main interest) -2- at least a
 #define GLIMIT 100.0    second wave of interviews ("longitudinal") which measure each change
 #define TINY 1.0e-20    (if any) in individual health status.  Health expectancies are
     computed from the time spent in each health state according to a
 static double maxarg1,maxarg2;    model. More health states you consider, more time is necessary to reach the
 #define FMAX(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)>(maxarg2)? (maxarg1):(maxarg2))    Maximum Likelihood of the parameters involved in the model.  The
 #define FMIN(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)<(maxarg2)? (maxarg1):(maxarg2))    simplest model is the multinomial logistic model where pij is the
      probability to be observed in state j at the second wave
 #define SIGN(a,b) ((b)>0.0 ? fabs(a) : -fabs(a))    conditional to be observed in state i at the first wave. Therefore
 #define rint(a) floor(a+0.5)    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
 static double sqrarg;    complex model than "constant and age", you should modify the program
 #define SQR(a) ((sqrarg=(a)) == 0.0 ? 0.0 :sqrarg*sqrarg)    where the markup *Covariates have to be included here again* invites
 #define SWAP(a,b) {temp=(a);(a)=(b);(b)=temp;}    you to do it.  More covariates you add, slower the
     convergence.
 int imx;  
 int stepm;    The advantage of this computer programme, compared to a simple
 /* Stepm, step in month: minimum step interpolation*/    multinomial logistic model, is clear when the delay between waves is not
     identical for each individual. Also, if a individual missed an
 int estepm;    intermediate interview, the information is lost, but taken into
 /* Estepm, step in month to interpolate survival function in order to approximate Life Expectancy*/    account using an interpolation or extrapolation.  
   
 int m,nb;    hPijx is the probability to be observed in state i at age x+h
 int *num, firstpass=0, lastpass=4,*cod, *ncodemax, *Tage;    conditional to the observed state i at age x. The delay 'h' can be
 double **agev,*moisnais, *annais, *moisdc, *andc,**mint, **anint;    split into an exact number (nh*stepm) of unobserved intermediate
 double **pmmij, ***probs, ***mobaverage;    states. This elementary transition (by month, quarter,
 double dateintmean=0;    semester or year) is modelled as a multinomial logistic.  The hPx
     matrix is simply the matrix product of nh*stepm elementary matrices
 double *weight;    and the contribution of each individual to the likelihood is simply
 int **s; /* Status */    hPijx.
 double *agedc, **covar, idx;  
 int **nbcode, *Tcode, *Tvar, **codtab, **Tvard, *Tprod, cptcovprod, *Tvaraff;    Also this programme outputs the covariance matrix of the parameters but also
     of the life expectancies. It also computes the stable prevalence. 
 double ftol=FTOL; /* Tolerance for computing Max Likelihood */    
 double ftolhess; /* Tolerance for computing hessian */    Authors: Nicolas Brouard (brouard@ined.fr) and Agnès Lièvre (lievre@ined.fr).
              Institut national d'études démographiques, Paris.
 /**************** split *************************/    This software have been partly granted by Euro-REVES, a concerted action
 static  int split( char *path, char *dirc, char *name, char *ext, char *finame )    from the European Union.
 {    It is copyrighted identically to a GNU software product, ie programme and
    char *s;                             /* pointer */    software can be distributed freely for non commercial use. Latest version
    int  l1, l2;                         /* length counters */    can be accessed at http://euroreves.ined.fr/imach .
   
    l1 = strlen( path );                 /* length of path */    Help to debug: LD_PRELOAD=/usr/local/lib/libnjamd.so ./imach foo.imach
    if ( l1 == 0 ) return( GLOCK_ERROR_NOPATH );    or better on gdb : set env LD_PRELOAD=/usr/local/lib/libnjamd.so
 #ifdef windows    
    s = strrchr( path, '\\' );           /* find last / */    **********************************************************************/
 #else  /*
    s = strrchr( path, '/' );            /* find last / */    main
 #endif    read parameterfile
    if ( s == NULL ) {                   /* no directory, so use current */    read datafile
 #if     defined(__bsd__)                /* get current working directory */    concatwav
       extern char       *getwd( );    freqsummary
     if (mle >= 1)
       if ( getwd( dirc ) == NULL ) {      mlikeli
 #else    print results files
       extern char       *getcwd( );    if mle==1 
        computes hessian
       if ( getcwd( dirc, FILENAME_MAX ) == NULL ) {    read end of parameter file: agemin, agemax, bage, fage, estepm
 #endif        begin-prev-date,...
          return( GLOCK_ERROR_GETCWD );    open gnuplot file
       }    open html file
       strcpy( name, path );             /* we've got it */    stable prevalence
    } else {                             /* strip direcotry from path */     for age prevalim()
       s++;                              /* after this, the filename */    h Pij x
       l2 = strlen( s );                 /* length of filename */    variance of p varprob
       if ( l2 == 0 ) return( GLOCK_ERROR_NOPATH );    forecasting if prevfcast==1 prevforecast call prevalence()
       strcpy( name, s );                /* save file name */    health expectancies
       strncpy( dirc, path, l1 - l2 );   /* now the directory */    Variance-covariance of DFLE
       dirc[l1-l2] = 0;                  /* add zero */    prevalence()
    }     movingaverage()
    l1 = strlen( dirc );                 /* length of directory */    varevsij() 
 #ifdef windows    if popbased==1 varevsij(,popbased)
    if ( dirc[l1-1] != '\\' ) { dirc[l1] = '\\'; dirc[l1+1] = 0; }    total life expectancies
 #else    Variance of stable prevalence
    if ( dirc[l1-1] != '/' ) { dirc[l1] = '/'; dirc[l1+1] = 0; }   end
 #endif  */
    s = strrchr( name, '.' );            /* find last / */  
    s++;  
    strcpy(ext,s);                       /* save extension */  
    l1= strlen( name);   
    l2= strlen( s)+1;  #include <math.h>
    strncpy( finame, name, l1-l2);  #include <stdio.h>
    finame[l1-l2]= 0;  #include <stdlib.h>
    return( 0 );                         /* we're done */  #include <unistd.h>
 }  
   /* #include <sys/time.h> */
   #include <time.h>
 /******************************************/  #include "timeval.h"
   
 void replace(char *s, char*t)  /* #include <libintl.h> */
 {  /* #define _(String) gettext (String) */
   int i;  
   int lg=20;  #define MAXLINE 256
   i=0;  #define GNUPLOTPROGRAM "gnuplot"
   lg=strlen(t);  /*#define GNUPLOTPROGRAM "..\\gp37mgw\\wgnuplot"*/
   for(i=0; i<= lg; i++) {  #define FILENAMELENGTH 132
     (s[i] = t[i]);  /*#define DEBUG*/
     if (t[i]== '\\') s[i]='/';  /*#define windows*/
   }  #define GLOCK_ERROR_NOPATH              -1      /* empty path */
 }  #define GLOCK_ERROR_GETCWD              -2      /* cannot get cwd */
   
 int nbocc(char *s, char occ)  #define MAXPARM 30 /* Maximum number of parameters for the optimization */
 {  #define NPARMAX 64 /* (nlstate+ndeath-1)*nlstate*ncovmodel */
   int i,j=0;  
   int lg=20;  #define NINTERVMAX 8
   i=0;  #define NLSTATEMAX 8 /* Maximum number of live states (for func) */
   lg=strlen(s);  #define NDEATHMAX 8 /* Maximum number of dead states (for func) */
   for(i=0; i<= lg; i++) {  #define NCOVMAX 8 /* Maximum number of covariates */
   if  (s[i] == occ ) j++;  #define MAXN 20000
   }  #define YEARM 12. /* Number of months per year */
   return j;  #define AGESUP 130
 }  #define AGEBASE 40
   #define AGEGOMP 10. /* Minimal age for Gompertz adjustment */
 void cutv(char *u,char *v, char*t, char occ)  #ifdef UNIX
 {  #define DIRSEPARATOR '/'
   int i,lg,j,p=0;  #define ODIRSEPARATOR '\\'
   i=0;  #else
   for(j=0; j<=strlen(t)-1; j++) {  #define DIRSEPARATOR '\\'
     if((t[j]!= occ) && (t[j+1]== occ)) p=j+1;  #define ODIRSEPARATOR '/'
   }  #endif
   
   lg=strlen(t);  /* $Id$ */
   for(j=0; j<p; j++) {  /* $State$ */
     (u[j] = t[j]);  
   }  char version[]="Imach version 0.97b, May 2004, INED-EUROREVES ";
      u[p]='\0';  char fullversion[]="$Revision$ $Date$"; 
   int erreur, nberr=0, nbwarn=0; /* Error number, number of errors number of warnings  */
    for(j=0; j<= lg; j++) {  int nvar;
     if (j>=(p+1))(v[j-p-1] = t[j]);  int cptcovn=0, cptcovage=0, cptcoveff=0,cptcov;
   }  int npar=NPARMAX;
 }  int nlstate=2; /* Number of live states */
   int ndeath=1; /* Number of dead states */
 /********************** nrerror ********************/  int ncovmodel, ncovcol;     /* Total number of covariables including constant a12*1 +b12*x ncovmodel=2 */
   int popbased=0;
 void nrerror(char error_text[])  
 {  int *wav; /* Number of waves for this individuual 0 is possible */
   fprintf(stderr,"ERREUR ...\n");  int maxwav; /* Maxim number of waves */
   fprintf(stderr,"%s\n",error_text);  int jmin, jmax; /* min, max spacing between 2 waves */
   exit(1);  int gipmx, gsw; /* Global variables on the number of contributions 
 }                     to the likelihood and the sum of weights (done by funcone)*/
 /*********************** vector *******************/  int mle, weightopt;
 double *vector(int nl, int nh)  int **mw; /* mw[mi][i] is number of the mi wave for this individual */
 {  int **dh; /* dh[mi][i] is number of steps between mi,mi+1 for this individual */
   double *v;  int **bh; /* bh[mi][i] is the bias (+ or -) for this individual if the delay between
   v=(double *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(double)));             * wave mi and wave mi+1 is not an exact multiple of stepm. */
   if (!v) nrerror("allocation failure in vector");  double jmean; /* Mean space between 2 waves */
   return v-nl+NR_END;  double **oldm, **newm, **savm; /* Working pointers to matrices */
 }  double **oldms, **newms, **savms; /* Fixed working pointers to matrices */
   FILE *fic,*ficpar, *ficparo,*ficres,  *ficrespl, *ficrespij, *ficrest,*ficresf,*ficrespop;
 /************************ free vector ******************/  FILE *ficlog, *ficrespow;
 void free_vector(double*v, int nl, int nh)  int globpr; /* Global variable for printing or not */
 {  double fretone; /* Only one call to likelihood */
   free((FREE_ARG)(v+nl-NR_END));  long ipmx; /* Number of contributions */
 }  double sw; /* Sum of weights */
   char filerespow[FILENAMELENGTH];
 /************************ivector *******************************/  char fileresilk[FILENAMELENGTH]; /* File of individual contributions to the likelihood */
 int *ivector(long nl,long nh)  FILE *ficresilk;
 {  FILE *ficgp,*ficresprob,*ficpop, *ficresprobcov, *ficresprobcor;
   int *v;  FILE *ficresprobmorprev;
   v=(int *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(int)));  FILE *fichtm, *fichtmcov; /* Html File */
   if (!v) nrerror("allocation failure in ivector");  FILE *ficreseij;
   return v-nl+NR_END;  char filerese[FILENAMELENGTH];
 }  FILE  *ficresvij;
   char fileresv[FILENAMELENGTH];
 /******************free ivector **************************/  FILE  *ficresvpl;
 void free_ivector(int *v, long nl, long nh)  char fileresvpl[FILENAMELENGTH];
 {  char title[MAXLINE];
   free((FREE_ARG)(v+nl-NR_END));  char optionfile[FILENAMELENGTH], datafile[FILENAMELENGTH],  filerespl[FILENAMELENGTH];
 }  char optionfilext[10], optionfilefiname[FILENAMELENGTH], plotcmd[FILENAMELENGTH];
   char tmpout[FILENAMELENGTH],  tmpout2[FILENAMELENGTH]; 
 /******************* imatrix *******************************/  char command[FILENAMELENGTH];
 int **imatrix(long nrl, long nrh, long ncl, long nch)  int  outcmd=0;
      /* allocate a int matrix with subscript range m[nrl..nrh][ncl..nch] */  
 {  char fileres[FILENAMELENGTH], filerespij[FILENAMELENGTH], filereso[FILENAMELENGTH], rfileres[FILENAMELENGTH];
   long i, nrow=nrh-nrl+1,ncol=nch-ncl+1;  
   int **m;  char filelog[FILENAMELENGTH]; /* Log file */
    char filerest[FILENAMELENGTH];
   /* allocate pointers to rows */  char fileregp[FILENAMELENGTH];
   m=(int **) malloc((size_t)((nrow+NR_END)*sizeof(int*)));  char popfile[FILENAMELENGTH];
   if (!m) nrerror("allocation failure 1 in matrix()");  
   m += NR_END;  char optionfilegnuplot[FILENAMELENGTH], optionfilehtm[FILENAMELENGTH], optionfilehtmcov[FILENAMELENGTH] ;
   m -= nrl;  
    struct timeval start_time, end_time, curr_time, last_time, forecast_time;
    struct timezone tzp;
   /* allocate rows and set pointers to them */  extern int gettimeofday();
   m[nrl]=(int *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(int)));  struct tm tmg, tm, tmf, *gmtime(), *localtime();
   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");  long time_value;
   m[nrl] += NR_END;  extern long time();
   m[nrl] -= ncl;  char strcurr[80], strfor[80];
    
   for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol;  #define NR_END 1
    #define FREE_ARG char*
   /* return pointer to array of pointers to rows */  #define FTOL 1.0e-10
   return m;  
 }  #define NRANSI 
   #define ITMAX 200 
 /****************** free_imatrix *************************/  
 void free_imatrix(m,nrl,nrh,ncl,nch)  #define TOL 2.0e-4 
       int **m;  
       long nch,ncl,nrh,nrl;  #define CGOLD 0.3819660 
      /* free an int matrix allocated by imatrix() */  #define ZEPS 1.0e-10 
 {  #define SHFT(a,b,c,d) (a)=(b);(b)=(c);(c)=(d); 
   free((FREE_ARG) (m[nrl]+ncl-NR_END));  
   free((FREE_ARG) (m+nrl-NR_END));  #define GOLD 1.618034 
 }  #define GLIMIT 100.0 
   #define TINY 1.0e-20 
 /******************* matrix *******************************/  
 double **matrix(long nrl, long nrh, long ncl, long nch)  static double maxarg1,maxarg2;
 {  #define FMAX(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)>(maxarg2)? (maxarg1):(maxarg2))
   long i, nrow=nrh-nrl+1, ncol=nch-ncl+1;  #define FMIN(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)<(maxarg2)? (maxarg1):(maxarg2))
   double **m;    
   #define SIGN(a,b) ((b)>0.0 ? fabs(a) : -fabs(a))
   m=(double **) malloc((size_t)((nrow+NR_END)*sizeof(double*)));  #define rint(a) floor(a+0.5)
   if (!m) nrerror("allocation failure 1 in matrix()");  
   m += NR_END;  static double sqrarg;
   m -= nrl;  #define SQR(a) ((sqrarg=(a)) == 0.0 ? 0.0 :sqrarg*sqrarg)
   #define SWAP(a,b) {temp=(a);(a)=(b);(b)=temp;} 
   m[nrl]=(double *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));  int agegomp= AGEGOMP;
   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");  
   m[nrl] += NR_END;  int imx; 
   m[nrl] -= ncl;  int stepm=1;
   /* Stepm, step in month: minimum step interpolation*/
   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;  
   return m;  int estepm;
 }  /* Estepm, step in month to interpolate survival function in order to approximate Life Expectancy*/
   
 /*************************free matrix ************************/  int m,nb;
 void free_matrix(double **m, long nrl, long nrh, long ncl, long nch)  long *num;
 {  int firstpass=0, lastpass=4,*cod, *ncodemax, *Tage,*cens;
   free((FREE_ARG)(m[nrl]+ncl-NR_END));  double **agev,*moisnais, *annais, *moisdc, *andc,**mint, **anint;
   free((FREE_ARG)(m+nrl-NR_END));  double **pmmij, ***probs;
 }  double *ageexmed,*agecens;
   double dateintmean=0;
 /******************* ma3x *******************************/  
 double ***ma3x(long nrl, long nrh, long ncl, long nch, long nll, long nlh)  double *weight;
 {  int **s; /* Status */
   long i, j, nrow=nrh-nrl+1, ncol=nch-ncl+1, nlay=nlh-nll+1;  double *agedc, **covar, idx;
   double ***m;  int **nbcode, *Tcode, *Tvar, **codtab, **Tvard, *Tprod, cptcovprod, *Tvaraff;
   
   m=(double ***) malloc((size_t)((nrow+NR_END)*sizeof(double*)));  double ftol=FTOL; /* Tolerance for computing Max Likelihood */
   if (!m) nrerror("allocation failure 1 in matrix()");  double ftolhess; /* Tolerance for computing hessian */
   m += NR_END;  
   m -= nrl;  /**************** split *************************/
   static  int split( char *path, char *dirc, char *name, char *ext, char *finame )
   m[nrl]=(double **) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));  {
   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");    /* From a file name with full path (either Unix or Windows) we extract the directory (dirc)
   m[nrl] += NR_END;       the name of the file (name), its extension only (ext) and its first part of the name (finame)
   m[nrl] -= ncl;    */ 
     char  *ss;                            /* pointer */
   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;    int   l1, l2;                         /* length counters */
   
   m[nrl][ncl]=(double *) malloc((size_t)((nrow*ncol*nlay+NR_END)*sizeof(double)));    l1 = strlen(path );                   /* length of path */
   if (!m[nrl][ncl]) nrerror("allocation failure 3 in matrix()");    if ( l1 == 0 ) return( GLOCK_ERROR_NOPATH );
   m[nrl][ncl] += NR_END;    ss= strrchr( path, DIRSEPARATOR );            /* find last / */
   m[nrl][ncl] -= nll;    if ( ss == NULL ) {                   /* no directory, so use current */
   for (j=ncl+1; j<=nch; j++)      /*if(strrchr(path, ODIRSEPARATOR )==NULL)
     m[nrl][j]=m[nrl][j-1]+nlay;        printf("Warning you should use %s as a separator\n",DIRSEPARATOR);*/
        /* get current working directory */
   for (i=nrl+1; i<=nrh; i++) {      /*    extern  char* getcwd ( char *buf , int len);*/
     m[i][ncl]=m[i-1l][ncl]+ncol*nlay;      if ( getcwd( dirc, FILENAME_MAX ) == NULL ) {
     for (j=ncl+1; j<=nch; j++)        return( GLOCK_ERROR_GETCWD );
       m[i][j]=m[i][j-1]+nlay;      }
   }      strcpy( name, path );               /* we've got it */
   return m;    } else {                              /* strip direcotry from path */
 }      ss++;                               /* after this, the filename */
       l2 = strlen( ss );                  /* length of filename */
 /*************************free ma3x ************************/      if ( l2 == 0 ) return( GLOCK_ERROR_NOPATH );
 void free_ma3x(double ***m, long nrl, long nrh, long ncl, long nch,long nll, long nlh)      strcpy( name, ss );         /* save file name */
 {      strncpy( dirc, path, l1 - l2 );     /* now the directory */
   free((FREE_ARG)(m[nrl][ncl]+ nll-NR_END));      dirc[l1-l2] = 0;                    /* add zero */
   free((FREE_ARG)(m[nrl]+ncl-NR_END));    }
   free((FREE_ARG)(m+nrl-NR_END));    l1 = strlen( dirc );                  /* length of directory */
 }    /*#ifdef windows
     if ( dirc[l1-1] != '\\' ) { dirc[l1] = '\\'; dirc[l1+1] = 0; }
 /***************** f1dim *************************/  #else
 extern int ncom;    if ( dirc[l1-1] != '/' ) { dirc[l1] = '/'; dirc[l1+1] = 0; }
 extern double *pcom,*xicom;  #endif
 extern double (*nrfunc)(double []);    */
      ss = strrchr( name, '.' );            /* find last / */
 double f1dim(double x)    if (ss >0){
 {      ss++;
   int j;      strcpy(ext,ss);                     /* save extension */
   double f;      l1= strlen( name);
   double *xt;      l2= strlen(ss)+1;
        strncpy( finame, name, l1-l2);
   xt=vector(1,ncom);      finame[l1-l2]= 0;
   for (j=1;j<=ncom;j++) xt[j]=pcom[j]+x*xicom[j];    }
   f=(*nrfunc)(xt);    return( 0 );                          /* we're done */
   free_vector(xt,1,ncom);  }
   return f;  
 }  
   /******************************************/
 /*****************brent *************************/  
 double brent(double ax, double bx, double cx, double (*f)(double), double tol,  double *xmin)  void replace_back_to_slash(char *s, char*t)
 {  {
   int iter;    int i;
   double a,b,d,etemp;    int lg=0;
   double fu,fv,fw,fx;    i=0;
   double ftemp;    lg=strlen(t);
   double p,q,r,tol1,tol2,u,v,w,x,xm;    for(i=0; i<= lg; i++) {
   double e=0.0;      (s[i] = t[i]);
        if (t[i]== '\\') s[i]='/';
   a=(ax < cx ? ax : cx);    }
   b=(ax > cx ? ax : cx);  }
   x=w=v=bx;  
   fw=fv=fx=(*f)(x);  int nbocc(char *s, char occ)
   for (iter=1;iter<=ITMAX;iter++) {  {
     xm=0.5*(a+b);    int i,j=0;
     tol2=2.0*(tol1=tol*fabs(x)+ZEPS);    int lg=20;
     /*          if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret)))*/    i=0;
     printf(".");fflush(stdout);    lg=strlen(s);
 #ifdef DEBUG    for(i=0; i<= lg; i++) {
     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);    if  (s[i] == occ ) j++;
     /*          if ((fabs(x-xm) <= (tol2-0.5*(b-a)))||(2.0*fabs(fu-ftemp) <= ftol*1.e-2*(fabs(fu)+fabs(ftemp)))) { */    }
 #endif    return j;
     if (fabs(x-xm) <= (tol2-0.5*(b-a))){  }
       *xmin=x;  
       return fx;  void cutv(char *u,char *v, char*t, char occ)
     }  {
     ftemp=fu;    /* cuts string t into u and v where u is ended by char occ excluding it
     if (fabs(e) > tol1) {       and v is after occ excluding it too : ex cutv(u,v,"abcdef2ghi2j",2)
       r=(x-w)*(fx-fv);       gives u="abcedf" and v="ghi2j" */
       q=(x-v)*(fx-fw);    int i,lg,j,p=0;
       p=(x-v)*q-(x-w)*r;    i=0;
       q=2.0*(q-r);    for(j=0; j<=strlen(t)-1; j++) {
       if (q > 0.0) p = -p;      if((t[j]!= occ) && (t[j+1]== occ)) p=j+1;
       q=fabs(q);    }
       etemp=e;  
       e=d;    lg=strlen(t);
       if (fabs(p) >= fabs(0.5*q*etemp) || p <= q*(a-x) || p >= q*(b-x))    for(j=0; j<p; j++) {
         d=CGOLD*(e=(x >= xm ? a-x : b-x));      (u[j] = t[j]);
       else {    }
         d=p/q;       u[p]='\0';
         u=x+d;  
         if (u-a < tol2 || b-u < tol2)     for(j=0; j<= lg; j++) {
           d=SIGN(tol1,xm-x);      if (j>=(p+1))(v[j-p-1] = t[j]);
       }    }
     } else {  }
       d=CGOLD*(e=(x >= xm ? a-x : b-x));  
     }  /********************** nrerror ********************/
     u=(fabs(d) >= tol1 ? x+d : x+SIGN(tol1,d));  
     fu=(*f)(u);  void nrerror(char error_text[])
     if (fu <= fx) {  {
       if (u >= x) a=x; else b=x;    fprintf(stderr,"ERREUR ...\n");
       SHFT(v,w,x,u)    fprintf(stderr,"%s\n",error_text);
         SHFT(fv,fw,fx,fu)    exit(EXIT_FAILURE);
         } else {  }
           if (u < x) a=u; else b=u;  /*********************** vector *******************/
           if (fu <= fw || w == x) {  double *vector(int nl, int nh)
             v=w;  {
             w=u;    double *v;
             fv=fw;    v=(double *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(double)));
             fw=fu;    if (!v) nrerror("allocation failure in vector");
           } else if (fu <= fv || v == x || v == w) {    return v-nl+NR_END;
             v=u;  }
             fv=fu;  
           }  /************************ free vector ******************/
         }  void free_vector(double*v, int nl, int nh)
   }  {
   nrerror("Too many iterations in brent");    free((FREE_ARG)(v+nl-NR_END));
   *xmin=x;  }
   return fx;  
 }  /************************ivector *******************************/
   int *ivector(long nl,long nh)
 /****************** mnbrak ***********************/  {
     int *v;
 void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, double *fc,    v=(int *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(int)));
             double (*func)(double))    if (!v) nrerror("allocation failure in ivector");
 {    return v-nl+NR_END;
   double ulim,u,r,q, dum;  }
   double fu;  
    /******************free ivector **************************/
   *fa=(*func)(*ax);  void free_ivector(int *v, long nl, long nh)
   *fb=(*func)(*bx);  {
   if (*fb > *fa) {    free((FREE_ARG)(v+nl-NR_END));
     SHFT(dum,*ax,*bx,dum)  }
       SHFT(dum,*fb,*fa,dum)  
       }  /************************lvector *******************************/
   *cx=(*bx)+GOLD*(*bx-*ax);  long *lvector(long nl,long nh)
   *fc=(*func)(*cx);  {
   while (*fb > *fc) {    long *v;
     r=(*bx-*ax)*(*fb-*fc);    v=(long *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(long)));
     q=(*bx-*cx)*(*fb-*fa);    if (!v) nrerror("allocation failure in ivector");
     u=(*bx)-((*bx-*cx)*q-(*bx-*ax)*r)/    return v-nl+NR_END;
       (2.0*SIGN(FMAX(fabs(q-r),TINY),q-r));  }
     ulim=(*bx)+GLIMIT*(*cx-*bx);  
     if ((*bx-u)*(u-*cx) > 0.0) {  /******************free lvector **************************/
       fu=(*func)(u);  void free_lvector(long *v, long nl, long nh)
     } else if ((*cx-u)*(u-ulim) > 0.0) {  {
       fu=(*func)(u);    free((FREE_ARG)(v+nl-NR_END));
       if (fu < *fc) {  }
         SHFT(*bx,*cx,u,*cx+GOLD*(*cx-*bx))  
           SHFT(*fb,*fc,fu,(*func)(u))  /******************* imatrix *******************************/
           }  int **imatrix(long nrl, long nrh, long ncl, long nch) 
     } else if ((u-ulim)*(ulim-*cx) >= 0.0) {       /* allocate a int matrix with subscript range m[nrl..nrh][ncl..nch] */ 
       u=ulim;  { 
       fu=(*func)(u);    long i, nrow=nrh-nrl+1,ncol=nch-ncl+1; 
     } else {    int **m; 
       u=(*cx)+GOLD*(*cx-*bx);    
       fu=(*func)(u);    /* allocate pointers to rows */ 
     }    m=(int **) malloc((size_t)((nrow+NR_END)*sizeof(int*))); 
     SHFT(*ax,*bx,*cx,u)    if (!m) nrerror("allocation failure 1 in matrix()"); 
       SHFT(*fa,*fb,*fc,fu)    m += NR_END; 
       }    m -= nrl; 
 }    
     
 /*************** linmin ************************/    /* allocate rows and set pointers to them */ 
     m[nrl]=(int *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(int))); 
 int ncom;    if (!m[nrl]) nrerror("allocation failure 2 in matrix()"); 
 double *pcom,*xicom;    m[nrl] += NR_END; 
 double (*nrfunc)(double []);    m[nrl] -= ncl; 
      
 void linmin(double p[], double xi[], int n, double *fret,double (*func)(double []))    for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol; 
 {    
   double brent(double ax, double bx, double cx,    /* return pointer to array of pointers to rows */ 
                double (*f)(double), double tol, double *xmin);    return m; 
   double f1dim(double x);  } 
   void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb,  
               double *fc, double (*func)(double));  /****************** free_imatrix *************************/
   int j;  void free_imatrix(m,nrl,nrh,ncl,nch)
   double xx,xmin,bx,ax;        int **m;
   double fx,fb,fa;        long nch,ncl,nrh,nrl; 
         /* free an int matrix allocated by imatrix() */ 
   ncom=n;  { 
   pcom=vector(1,n);    free((FREE_ARG) (m[nrl]+ncl-NR_END)); 
   xicom=vector(1,n);    free((FREE_ARG) (m+nrl-NR_END)); 
   nrfunc=func;  } 
   for (j=1;j<=n;j++) {  
     pcom[j]=p[j];  /******************* matrix *******************************/
     xicom[j]=xi[j];  double **matrix(long nrl, long nrh, long ncl, long nch)
   }  {
   ax=0.0;    long i, nrow=nrh-nrl+1, ncol=nch-ncl+1;
   xx=1.0;    double **m;
   mnbrak(&ax,&xx,&bx,&fa,&fx,&fb,f1dim);  
   *fret=brent(ax,xx,bx,f1dim,TOL,&xmin);    m=(double **) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
 #ifdef DEBUG    if (!m) nrerror("allocation failure 1 in matrix()");
   printf("retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);    m += NR_END;
 #endif    m -= nrl;
   for (j=1;j<=n;j++) {  
     xi[j] *= xmin;    m[nrl]=(double *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
     p[j] += xi[j];    if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
   }    m[nrl] += NR_END;
   free_vector(xicom,1,n);    m[nrl] -= ncl;
   free_vector(pcom,1,n);  
 }    for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
     return m;
 /*************** powell ************************/    /* print *(*(m+1)+70) or print m[1][70]; print m+1 or print &(m[1]) 
 void powell(double p[], double **xi, int n, double ftol, int *iter, double *fret,     */
             double (*func)(double []))  }
 {  
   void linmin(double p[], double xi[], int n, double *fret,  /*************************free matrix ************************/
               double (*func)(double []));  void free_matrix(double **m, long nrl, long nrh, long ncl, long nch)
   int i,ibig,j;  {
   double del,t,*pt,*ptt,*xit;    free((FREE_ARG)(m[nrl]+ncl-NR_END));
   double fp,fptt;    free((FREE_ARG)(m+nrl-NR_END));
   double *xits;  }
   pt=vector(1,n);  
   ptt=vector(1,n);  /******************* ma3x *******************************/
   xit=vector(1,n);  double ***ma3x(long nrl, long nrh, long ncl, long nch, long nll, long nlh)
   xits=vector(1,n);  {
   *fret=(*func)(p);    long i, j, nrow=nrh-nrl+1, ncol=nch-ncl+1, nlay=nlh-nll+1;
   for (j=1;j<=n;j++) pt[j]=p[j];    double ***m;
   for (*iter=1;;++(*iter)) {  
     fp=(*fret);    m=(double ***) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
     ibig=0;    if (!m) nrerror("allocation failure 1 in matrix()");
     del=0.0;    m += NR_END;
     printf("\nPowell iter=%d -2*LL=%.12f",*iter,*fret);    m -= nrl;
     for (i=1;i<=n;i++)  
       printf(" %d %.12f",i, p[i]);    m[nrl]=(double **) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
     printf("\n");    if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
     for (i=1;i<=n;i++) {    m[nrl] += NR_END;
       for (j=1;j<=n;j++) xit[j]=xi[j][i];    m[nrl] -= ncl;
       fptt=(*fret);  
 #ifdef DEBUG    for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
       printf("fret=%lf \n",*fret);  
 #endif    m[nrl][ncl]=(double *) malloc((size_t)((nrow*ncol*nlay+NR_END)*sizeof(double)));
       printf("%d",i);fflush(stdout);    if (!m[nrl][ncl]) nrerror("allocation failure 3 in matrix()");
       linmin(p,xit,n,fret,func);    m[nrl][ncl] += NR_END;
       if (fabs(fptt-(*fret)) > del) {    m[nrl][ncl] -= nll;
         del=fabs(fptt-(*fret));    for (j=ncl+1; j<=nch; j++) 
         ibig=i;      m[nrl][j]=m[nrl][j-1]+nlay;
       }    
 #ifdef DEBUG    for (i=nrl+1; i<=nrh; i++) {
       printf("%d %.12e",i,(*fret));      m[i][ncl]=m[i-1l][ncl]+ncol*nlay;
       for (j=1;j<=n;j++) {      for (j=ncl+1; j<=nch; j++) 
         xits[j]=FMAX(fabs(p[j]-pt[j]),1.e-5);        m[i][j]=m[i][j-1]+nlay;
         printf(" x(%d)=%.12e",j,xit[j]);    }
       }    return m; 
       for(j=1;j<=n;j++)    /*  gdb: p *(m+1) <=> p m[1] and p (m+1) <=> p (m+1) <=> p &(m[1])
         printf(" p=%.12e",p[j]);             &(m[i][j][k]) <=> *((*(m+i) + j)+k)
       printf("\n");    */
 #endif  }
     }  
     if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret))) {  /*************************free ma3x ************************/
 #ifdef DEBUG  void free_ma3x(double ***m, long nrl, long nrh, long ncl, long nch,long nll, long nlh)
       int k[2],l;  {
       k[0]=1;    free((FREE_ARG)(m[nrl][ncl]+ nll-NR_END));
       k[1]=-1;    free((FREE_ARG)(m[nrl]+ncl-NR_END));
       printf("Max: %.12e",(*func)(p));    free((FREE_ARG)(m+nrl-NR_END));
       for (j=1;j<=n;j++)  }
         printf(" %.12e",p[j]);  
       printf("\n");  /*************** function subdirf ***********/
       for(l=0;l<=1;l++) {  char *subdirf(char fileres[])
         for (j=1;j<=n;j++) {  {
           ptt[j]=p[j]+(p[j]-pt[j])*k[l];    /* Caution optionfilefiname is hidden */
           printf("l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);    strcpy(tmpout,optionfilefiname);
         }    strcat(tmpout,"/"); /* Add to the right */
         printf("func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));    strcat(tmpout,fileres);
       }    return tmpout;
 #endif  }
   
   /*************** function subdirf2 ***********/
       free_vector(xit,1,n);  char *subdirf2(char fileres[], char *preop)
       free_vector(xits,1,n);  {
       free_vector(ptt,1,n);    
       free_vector(pt,1,n);    /* Caution optionfilefiname is hidden */
       return;    strcpy(tmpout,optionfilefiname);
     }    strcat(tmpout,"/");
     if (*iter == ITMAX) nrerror("powell exceeding maximum iterations.");    strcat(tmpout,preop);
     for (j=1;j<=n;j++) {    strcat(tmpout,fileres);
       ptt[j]=2.0*p[j]-pt[j];    return tmpout;
       xit[j]=p[j]-pt[j];  }
       pt[j]=p[j];  
     }  /*************** function subdirf3 ***********/
     fptt=(*func)(ptt);  char *subdirf3(char fileres[], char *preop, char *preop2)
     if (fptt < fp) {  {
       t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)-del*SQR(fp-fptt);    
       if (t < 0.0) {    /* Caution optionfilefiname is hidden */
         linmin(p,xit,n,fret,func);    strcpy(tmpout,optionfilefiname);
         for (j=1;j<=n;j++) {    strcat(tmpout,"/");
           xi[j][ibig]=xi[j][n];    strcat(tmpout,preop);
           xi[j][n]=xit[j];    strcat(tmpout,preop2);
         }    strcat(tmpout,fileres);
 #ifdef DEBUG    return tmpout;
         printf("Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);  }
         for(j=1;j<=n;j++)  
           printf(" %.12e",xit[j]);  /***************** f1dim *************************/
         printf("\n");  extern int ncom; 
 #endif  extern double *pcom,*xicom;
       }  extern double (*nrfunc)(double []); 
     }   
   }  double f1dim(double x) 
 }  { 
     int j; 
 /**** Prevalence limit ****************/    double f;
     double *xt; 
 double **prevalim(double **prlim, int nlstate, double x[], double age, double **oldm, double **savm, double ftolpl, int ij)   
 {    xt=vector(1,ncom); 
   /* Computes the prevalence limit in each live state at age x by left multiplying the unit    for (j=1;j<=ncom;j++) xt[j]=pcom[j]+x*xicom[j]; 
      matrix by transitions matrix until convergence is reached */    f=(*nrfunc)(xt); 
     free_vector(xt,1,ncom); 
   int i, ii,j,k;    return f; 
   double min, max, maxmin, maxmax,sumnew=0.;  } 
   double **matprod2();  
   double **out, cov[NCOVMAX], **pmij();  /*****************brent *************************/
   double **newm;  double brent(double ax, double bx, double cx, double (*f)(double), double tol,  double *xmin) 
   double agefin, delaymax=50 ; /* Max number of years to converge */  { 
     int iter; 
   for (ii=1;ii<=nlstate+ndeath;ii++)    double a,b,d,etemp;
     for (j=1;j<=nlstate+ndeath;j++){    double fu,fv,fw,fx;
       oldm[ii][j]=(ii==j ? 1.0 : 0.0);    double ftemp;
     }    double p,q,r,tol1,tol2,u,v,w,x,xm; 
     double e=0.0; 
    cov[1]=1.;   
      a=(ax < cx ? ax : cx); 
  /* Even if hstepm = 1, at least one multiplication by the unit matrix */    b=(ax > cx ? ax : cx); 
   for(agefin=age-stepm/YEARM; agefin>=age-delaymax; agefin=agefin-stepm/YEARM){    x=w=v=bx; 
     newm=savm;    fw=fv=fx=(*f)(x); 
     /* Covariates have to be included here again */    for (iter=1;iter<=ITMAX;iter++) { 
      cov[2]=agefin;      xm=0.5*(a+b); 
        tol2=2.0*(tol1=tol*fabs(x)+ZEPS); 
       for (k=1; k<=cptcovn;k++) {      /*          if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret)))*/
         cov[2+k]=nbcode[Tvar[k]][codtab[ij][Tvar[k]]];      printf(".");fflush(stdout);
         /*      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]]);*/      fprintf(ficlog,".");fflush(ficlog);
       }  #ifdef DEBUG
       for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2];      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);
       for (k=1; k<=cptcovprod;k++)      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);
         cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]]*nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]];      /*          if ((fabs(x-xm) <= (tol2-0.5*(b-a)))||(2.0*fabs(fu-ftemp) <= ftol*1.e-2*(fabs(fu)+fabs(ftemp)))) { */
   #endif
       /*printf("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/      if (fabs(x-xm) <= (tol2-0.5*(b-a))){ 
       /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/        *xmin=x; 
       /*printf("ij=%d cov[3]=%lf \n",ij, cov[3]);*/        return fx; 
     out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm);      } 
       ftemp=fu;
     savm=oldm;      if (fabs(e) > tol1) { 
     oldm=newm;        r=(x-w)*(fx-fv); 
     maxmax=0.;        q=(x-v)*(fx-fw); 
     for(j=1;j<=nlstate;j++){        p=(x-v)*q-(x-w)*r; 
       min=1.;        q=2.0*(q-r); 
       max=0.;        if (q > 0.0) p = -p; 
       for(i=1; i<=nlstate; i++) {        q=fabs(q); 
         sumnew=0;        etemp=e; 
         for(k=1; k<=ndeath; k++) sumnew+=newm[i][nlstate+k];        e=d; 
         prlim[i][j]= newm[i][j]/(1-sumnew);        if (fabs(p) >= fabs(0.5*q*etemp) || p <= q*(a-x) || p >= q*(b-x)) 
         max=FMAX(max,prlim[i][j]);          d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
         min=FMIN(min,prlim[i][j]);        else { 
       }          d=p/q; 
       maxmin=max-min;          u=x+d; 
       maxmax=FMAX(maxmax,maxmin);          if (u-a < tol2 || b-u < tol2) 
     }            d=SIGN(tol1,xm-x); 
     if(maxmax < ftolpl){        } 
       return prlim;      } else { 
     }        d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
   }      } 
 }      u=(fabs(d) >= tol1 ? x+d : x+SIGN(tol1,d)); 
       fu=(*f)(u); 
 /*************** transition probabilities ***************/      if (fu <= fx) { 
         if (u >= x) a=x; else b=x; 
 double **pmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )        SHFT(v,w,x,u) 
 {          SHFT(fv,fw,fx,fu) 
   double s1, s2;          } else { 
   /*double t34;*/            if (u < x) a=u; else b=u; 
   int i,j,j1, nc, ii, jj;            if (fu <= fw || w == x) { 
               v=w; 
     for(i=1; i<= nlstate; i++){              w=u; 
     for(j=1; j<i;j++){              fv=fw; 
       for (nc=1, s2=0.;nc <=ncovmodel; nc++){              fw=fu; 
         /*s2 += param[i][j][nc]*cov[nc];*/            } else if (fu <= fv || v == x || v == w) { 
         s2 += x[(i-1)*nlstate*ncovmodel+(j-1)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];              v=u; 
         /*printf("Int j<i s1=%.17e, s2=%.17e\n",s1,s2);*/              fv=fu; 
       }            } 
       ps[i][j]=s2;          } 
       /*printf("s1=%.17e, s2=%.17e\n",s1,s2);*/    } 
     }    nrerror("Too many iterations in brent"); 
     for(j=i+1; j<=nlstate+ndeath;j++){    *xmin=x; 
       for (nc=1, s2=0.;nc <=ncovmodel; nc++){    return fx; 
         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);*/  
       }  /****************** mnbrak ***********************/
       ps[i][j]=s2;  
     }  void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, double *fc, 
   }              double (*func)(double)) 
     /*ps[3][2]=1;*/  { 
     double ulim,u,r,q, dum;
   for(i=1; i<= nlstate; i++){    double fu; 
      s1=0;   
     for(j=1; j<i; j++)    *fa=(*func)(*ax); 
       s1+=exp(ps[i][j]);    *fb=(*func)(*bx); 
     for(j=i+1; j<=nlstate+ndeath; j++)    if (*fb > *fa) { 
       s1+=exp(ps[i][j]);      SHFT(dum,*ax,*bx,dum) 
     ps[i][i]=1./(s1+1.);        SHFT(dum,*fb,*fa,dum) 
     for(j=1; j<i; j++)        } 
       ps[i][j]= exp(ps[i][j])*ps[i][i];    *cx=(*bx)+GOLD*(*bx-*ax); 
     for(j=i+1; j<=nlstate+ndeath; j++)    *fc=(*func)(*cx); 
       ps[i][j]= exp(ps[i][j])*ps[i][i];    while (*fb > *fc) { 
     /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */      r=(*bx-*ax)*(*fb-*fc); 
   } /* end i */      q=(*bx-*cx)*(*fb-*fa); 
       u=(*bx)-((*bx-*cx)*q-(*bx-*ax)*r)/ 
   for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){        (2.0*SIGN(FMAX(fabs(q-r),TINY),q-r)); 
     for(jj=1; jj<= nlstate+ndeath; jj++){      ulim=(*bx)+GLIMIT*(*cx-*bx); 
       ps[ii][jj]=0;      if ((*bx-u)*(u-*cx) > 0.0) { 
       ps[ii][ii]=1;        fu=(*func)(u); 
     }      } else if ((*cx-u)*(u-ulim) > 0.0) { 
   }        fu=(*func)(u); 
         if (fu < *fc) { 
           SHFT(*bx,*cx,u,*cx+GOLD*(*cx-*bx)) 
   /*   for(ii=1; ii<= nlstate+ndeath; ii++){            SHFT(*fb,*fc,fu,(*func)(u)) 
     for(jj=1; jj<= nlstate+ndeath; jj++){            } 
      printf("%lf ",ps[ii][jj]);      } else if ((u-ulim)*(ulim-*cx) >= 0.0) { 
    }        u=ulim; 
     printf("\n ");        fu=(*func)(u); 
     }      } else { 
     printf("\n ");printf("%lf ",cov[2]);*/        u=(*cx)+GOLD*(*cx-*bx); 
 /*        fu=(*func)(u); 
   for(i=1; i<= npar; i++) printf("%f ",x[i]);      } 
   goto end;*/      SHFT(*ax,*bx,*cx,u) 
     return ps;        SHFT(*fa,*fb,*fc,fu) 
 }        } 
   } 
 /**************** Product of 2 matrices ******************/  
   /*************** linmin ************************/
 double **matprod2(double **out, double **in,long nrl, long nrh, long ncl, long nch, long ncolol, long ncoloh, double **b)  
 {  int ncom; 
   /* Computes the matrix product of in(1,nrh-nrl+1)(1,nch-ncl+1) times  double *pcom,*xicom;
      b(1,nch-ncl+1)(1,ncoloh-ncolol+1) into out(...) */  double (*nrfunc)(double []); 
   /* in, b, out are matrice of pointers which should have been initialized   
      before: only the contents of out is modified. The function returns  void linmin(double p[], double xi[], int n, double *fret,double (*func)(double [])) 
      a pointer to pointers identical to out */  { 
   long i, j, k;    double brent(double ax, double bx, double cx, 
   for(i=nrl; i<= nrh; i++)                 double (*f)(double), double tol, double *xmin); 
     for(k=ncolol; k<=ncoloh; k++)    double f1dim(double x); 
       for(j=ncl,out[i][k]=0.; j<=nch; j++)    void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, 
         out[i][k] +=in[i][j]*b[j][k];                double *fc, double (*func)(double)); 
     int j; 
   return out;    double xx,xmin,bx,ax; 
 }    double fx,fb,fa;
    
     ncom=n; 
 /************* Higher Matrix Product ***************/    pcom=vector(1,n); 
     xicom=vector(1,n); 
 double ***hpxij(double ***po, int nhstepm, double age, int hstepm, double *x, int nlstate, int stepm, double **oldm, double **savm, int ij )    nrfunc=func; 
 {    for (j=1;j<=n;j++) { 
   /* Computes the transition matrix starting at age 'age' over 'nhstepm*hstepm*stepm' month      pcom[j]=p[j]; 
      duration (i.e. until      xicom[j]=xi[j]; 
      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    ax=0.0; 
      (typically every 2 years instead of every month which is too big).    xx=1.0; 
      Model is determined by parameters x and covariates have to be    mnbrak(&ax,&xx,&bx,&fa,&fx,&fb,f1dim); 
      included manually here.    *fret=brent(ax,xx,bx,f1dim,TOL,&xmin); 
   #ifdef DEBUG
      */    printf("retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);
     fprintf(ficlog,"retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);
   int i, j, d, h, k;  #endif
   double **out, cov[NCOVMAX];    for (j=1;j<=n;j++) { 
   double **newm;      xi[j] *= xmin; 
       p[j] += xi[j]; 
   /* Hstepm could be zero and should return the unit matrix */    } 
   for (i=1;i<=nlstate+ndeath;i++)    free_vector(xicom,1,n); 
     for (j=1;j<=nlstate+ndeath;j++){    free_vector(pcom,1,n); 
       oldm[i][j]=(i==j ? 1.0 : 0.0);  } 
       po[i][j][0]=(i==j ? 1.0 : 0.0);  
     }  char *asc_diff_time(long time_sec, char ascdiff[])
   /* Even if hstepm = 1, at least one multiplication by the unit matrix */  {
   for(h=1; h <=nhstepm; h++){    long sec_left, days, hours, minutes;
     for(d=1; d <=hstepm; d++){    days = (time_sec) / (60*60*24);
       newm=savm;    sec_left = (time_sec) % (60*60*24);
       /* Covariates have to be included here again */    hours = (sec_left) / (60*60) ;
       cov[1]=1.;    sec_left = (sec_left) %(60*60);
       cov[2]=age+((h-1)*hstepm + (d-1))*stepm/YEARM;    minutes = (sec_left) /60;
       for (k=1; k<=cptcovn;k++) cov[2+k]=nbcode[Tvar[k]][codtab[ij][Tvar[k]]];    sec_left = (sec_left) % (60);
       for (k=1; k<=cptcovage;k++)    sprintf(ascdiff,"%d day(s) %d hour(s) %d minute(s) %d second(s)",days, hours, minutes, sec_left);  
         cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2];    return ascdiff;
       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]]];  
   /*************** powell ************************/
   void powell(double p[], double **xi, int n, double ftol, int *iter, double *fret, 
       /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/              double (*func)(double [])) 
       /*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,    void linmin(double p[], double xi[], int n, double *fret, 
                    pmij(pmmij,cov,ncovmodel,x,nlstate));                double (*func)(double [])); 
       savm=oldm;    int i,ibig,j; 
       oldm=newm;    double del,t,*pt,*ptt,*xit;
     }    double fp,fptt;
     for(i=1; i<=nlstate+ndeath; i++)    double *xits;
       for(j=1;j<=nlstate+ndeath;j++) {    int niterf, itmp;
         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]);    pt=vector(1,n); 
          */    ptt=vector(1,n); 
       }    xit=vector(1,n); 
   } /* end h */    xits=vector(1,n); 
   return po;    *fret=(*func)(p); 
 }    for (j=1;j<=n;j++) pt[j]=p[j]; 
     for (*iter=1;;++(*iter)) { 
       fp=(*fret); 
 /*************** log-likelihood *************/      ibig=0; 
 double func( double *x)      del=0.0; 
 {      last_time=curr_time;
   int i, ii, j, k, mi, d, kk;      (void) gettimeofday(&curr_time,&tzp);
   double l, ll[NLSTATEMAX], cov[NCOVMAX];      printf("\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret, curr_time.tv_sec-last_time.tv_sec, curr_time.tv_sec-start_time.tv_sec);fflush(stdout);
   double **out;      /*    fprintf(ficlog,"\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret, curr_time.tv_sec-last_time.tv_sec, curr_time.tv_sec-start_time.tv_sec);
   double sw; /* Sum of weights */      fprintf(ficrespow,"%d %.12f %ld",*iter,*fret,curr_time.tv_sec-start_time.tv_sec);
   double lli; /* Individual log likelihood */      */
   long ipmx;     for (i=1;i<=n;i++) {
   /*extern weight */        printf(" %d %.12f",i, p[i]);
   /* We are differentiating ll according to initial status */        fprintf(ficlog," %d %.12lf",i, p[i]);
   /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/        fprintf(ficrespow," %.12lf", p[i]);
   /*for(i=1;i<imx;i++)      }
     printf(" %d\n",s[4][i]);      printf("\n");
   */      fprintf(ficlog,"\n");
   cov[1]=1.;      fprintf(ficrespow,"\n");fflush(ficrespow);
       if(*iter <=3){
   for(k=1; k<=nlstate; k++) ll[k]=0.;        tm = *localtime(&curr_time.tv_sec);
   for (i=1,ipmx=0, sw=0.; i<=imx; i++){        strcpy(strcurr,asctime(&tmf));
     for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];  /*       asctime_r(&tm,strcurr); */
     for(mi=1; mi<= wav[i]-1; mi++){        forecast_time=curr_time;
       for (ii=1;ii<=nlstate+ndeath;ii++)        itmp = strlen(strcurr);
         for (j=1;j<=nlstate+ndeath;j++) oldm[ii][j]=(ii==j ? 1.0 : 0.0);        if(strcurr[itmp-1]=='\n')
       for(d=0; d<dh[mi][i]; d++){          strcurr[itmp-1]='\0';
         newm=savm;        printf("\nConsidering the time needed for this last iteration #%d: %ld seconds,\n",*iter,curr_time.tv_sec-last_time.tv_sec);
         cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;        fprintf(ficlog,"\nConsidering the time needed for this last iteration #%d: %ld seconds,\n",*iter,curr_time.tv_sec-last_time.tv_sec);
         for (kk=1; kk<=cptcovage;kk++) {        for(niterf=10;niterf<=30;niterf+=10){
           cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];          forecast_time.tv_sec=curr_time.tv_sec+(niterf-*iter)*(curr_time.tv_sec-last_time.tv_sec);
         }          tmf = *localtime(&forecast_time.tv_sec);
          /*      asctime_r(&tmf,strfor); */
         out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,          strcpy(strfor,asctime(&tmf));
                      1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));          itmp = strlen(strfor);
         savm=oldm;          if(strfor[itmp-1]=='\n')
         oldm=newm;          strfor[itmp-1]='\0';
                  printf("   - if your program needs %d iterations to converge, convergence will be \n   reached in %s or\n   on %s (current time is %s);\n",niterf, asc_diff_time(forecast_time.tv_sec-curr_time.tv_sec,tmpout),strfor,strcurr);
                  fprintf(ficlog,"   - if your program needs %d iterations to converge, convergence will be \n   reached in %s or\n   on %s (current time is %s);\n",niterf, asc_diff_time(forecast_time.tv_sec-curr_time.tv_sec,tmpout),strfor,strcurr);
       } /* end mult */        }
            }
       lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);      for (i=1;i<=n;i++) { 
       /* printf(" %f ",out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);*/        for (j=1;j<=n;j++) xit[j]=xi[j][i]; 
       ipmx +=1;        fptt=(*fret); 
       sw += weight[i];  #ifdef DEBUG
       ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;        printf("fret=%lf \n",*fret);
     } /* end of wave */        fprintf(ficlog,"fret=%lf \n",*fret);
   } /* end of individual */  #endif
         printf("%d",i);fflush(stdout);
   for(k=1,l=0.; k<=nlstate; k++) l += ll[k];        fprintf(ficlog,"%d",i);fflush(ficlog);
   /* printf("l1=%f l2=%f ",ll[1],ll[2]); */        linmin(p,xit,n,fret,func); 
   l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */        if (fabs(fptt-(*fret)) > del) { 
   return -l;          del=fabs(fptt-(*fret)); 
 }          ibig=i; 
         } 
   #ifdef DEBUG
 /*********** Maximum Likelihood Estimation ***************/        printf("%d %.12e",i,(*fret));
         fprintf(ficlog,"%d %.12e",i,(*fret));
 void mlikeli(FILE *ficres,double p[], int npar, int ncovmodel, int nlstate, double ftol, double (*func)(double []))        for (j=1;j<=n;j++) {
 {          xits[j]=FMAX(fabs(p[j]-pt[j]),1.e-5);
   int i,j, iter;          printf(" x(%d)=%.12e",j,xit[j]);
   double **xi,*delti;          fprintf(ficlog," x(%d)=%.12e",j,xit[j]);
   double fret;        }
   xi=matrix(1,npar,1,npar);        for(j=1;j<=n;j++) {
   for (i=1;i<=npar;i++)          printf(" p=%.12e",p[j]);
     for (j=1;j<=npar;j++)          fprintf(ficlog," p=%.12e",p[j]);
       xi[i][j]=(i==j ? 1.0 : 0.0);        }
   printf("Powell\n");        printf("\n");
   powell(p,xi,npar,ftol,&iter,&fret,func);        fprintf(ficlog,"\n");
   #endif
    printf("\n#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));      if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret))) {
   #ifdef DEBUG
 }        int k[2],l;
         k[0]=1;
 /**** Computes Hessian and covariance matrix ***/        k[1]=-1;
 void hesscov(double **matcov, double p[], int npar, double delti[], double ftolhess, double (*func)(double []))        printf("Max: %.12e",(*func)(p));
 {        fprintf(ficlog,"Max: %.12e",(*func)(p));
   double  **a,**y,*x,pd;        for (j=1;j<=n;j++) {
   double **hess;          printf(" %.12e",p[j]);
   int i, j,jk;          fprintf(ficlog," %.12e",p[j]);
   int *indx;        }
         printf("\n");
   double hessii(double p[], double delta, int theta, double delti[]);        fprintf(ficlog,"\n");
   double hessij(double p[], double delti[], int i, int j);        for(l=0;l<=1;l++) {
   void lubksb(double **a, int npar, int *indx, double b[]) ;          for (j=1;j<=n;j++) {
   void ludcmp(double **a, int npar, int *indx, double *d) ;            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]);
   hess=matrix(1,npar,1,npar);            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("\nCalculation of the hessian matrix. Wait...\n");          printf("func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
   for (i=1;i<=npar;i++){          fprintf(ficlog,"func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
     printf("%d",i);fflush(stdout);        }
     hess[i][i]=hessii(p,ftolhess,i,delti);  #endif
     /*printf(" %f ",p[i]);*/  
     /*printf(" %lf ",hess[i][i]);*/  
   }        free_vector(xit,1,n); 
          free_vector(xits,1,n); 
   for (i=1;i<=npar;i++) {        free_vector(ptt,1,n); 
     for (j=1;j<=npar;j++)  {        free_vector(pt,1,n); 
       if (j>i) {        return; 
         printf(".%d%d",i,j);fflush(stdout);      } 
         hess[i][j]=hessij(p,delti,i,j);      if (*iter == ITMAX) nrerror("powell exceeding maximum iterations."); 
         hess[j][i]=hess[i][j];          for (j=1;j<=n;j++) { 
         /*printf(" %lf ",hess[i][j]);*/        ptt[j]=2.0*p[j]-pt[j]; 
       }        xit[j]=p[j]-pt[j]; 
     }        pt[j]=p[j]; 
   }      } 
   printf("\n");      fptt=(*func)(ptt); 
       if (fptt < fp) { 
   printf("\nInverting the hessian to get the covariance matrix. Wait...\n");        t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)-del*SQR(fp-fptt); 
          if (t < 0.0) { 
   a=matrix(1,npar,1,npar);          linmin(p,xit,n,fret,func); 
   y=matrix(1,npar,1,npar);          for (j=1;j<=n;j++) { 
   x=vector(1,npar);            xi[j][ibig]=xi[j][n]; 
   indx=ivector(1,npar);            xi[j][n]=xit[j]; 
   for (i=1;i<=npar;i++)          }
     for (j=1;j<=npar;j++) a[i][j]=hess[i][j];  #ifdef DEBUG
   ludcmp(a,npar,indx,&pd);          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);
   for (j=1;j<=npar;j++) {          for(j=1;j<=n;j++){
     for (i=1;i<=npar;i++) x[i]=0;            printf(" %.12e",xit[j]);
     x[j]=1;            fprintf(ficlog," %.12e",xit[j]);
     lubksb(a,npar,indx,x);          }
     for (i=1;i<=npar;i++){          printf("\n");
       matcov[i][j]=x[i];          fprintf(ficlog,"\n");
     }  #endif
   }        }
       } 
   printf("\n#Hessian matrix#\n");    } 
   for (i=1;i<=npar;i++) {  } 
     for (j=1;j<=npar;j++) {  
       printf("%.3e ",hess[i][j]);  /**** Prevalence limit (stable prevalence)  ****************/
     }  
     printf("\n");  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
   /* Recompute Inverse */       matrix by transitions matrix until convergence is reached */
   for (i=1;i<=npar;i++)  
     for (j=1;j<=npar;j++) a[i][j]=matcov[i][j];    int i, ii,j,k;
   ludcmp(a,npar,indx,&pd);    double min, max, maxmin, maxmax,sumnew=0.;
     double **matprod2();
   /*  printf("\n#Hessian matrix recomputed#\n");    double **out, cov[NCOVMAX], **pmij();
     double **newm;
   for (j=1;j<=npar;j++) {    double agefin, delaymax=50 ; /* Max number of years to converge */
     for (i=1;i<=npar;i++) x[i]=0;  
     x[j]=1;    for (ii=1;ii<=nlstate+ndeath;ii++)
     lubksb(a,npar,indx,x);      for (j=1;j<=nlstate+ndeath;j++){
     for (i=1;i<=npar;i++){        oldm[ii][j]=(ii==j ? 1.0 : 0.0);
       y[i][j]=x[i];      }
       printf("%.3e ",y[i][j]);  
     }     cov[1]=1.;
     printf("\n");   
   }   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
   */    for(agefin=age-stepm/YEARM; agefin>=age-delaymax; agefin=agefin-stepm/YEARM){
       newm=savm;
   free_matrix(a,1,npar,1,npar);      /* Covariates have to be included here again */
   free_matrix(y,1,npar,1,npar);       cov[2]=agefin;
   free_vector(x,1,npar);    
   free_ivector(indx,1,npar);        for (k=1; k<=cptcovn;k++) {
   free_matrix(hess,1,npar,1,npar);          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]]);*/
         }
 }        for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2];
         for (k=1; k<=cptcovprod;k++)
 /*************** hessian matrix ****************/          cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]]*nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]];
 double hessii( double x[], double delta, int theta, double delti[])  
 {        /*printf("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/
   int i;        /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/
   int l=1, lmax=20;        /*printf("ij=%d cov[3]=%lf \n",ij, cov[3]);*/
   double k1,k2;      out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm);
   double p2[NPARMAX+1];  
   double res;      savm=oldm;
   double delt, delts, nkhi=10.,nkhif=1., khi=1.e-4;      oldm=newm;
   double fx;      maxmax=0.;
   int k=0,kmax=10;      for(j=1;j<=nlstate;j++){
   double l1;        min=1.;
         max=0.;
   fx=func(x);        for(i=1; i<=nlstate; i++) {
   for (i=1;i<=npar;i++) p2[i]=x[i];          sumnew=0;
   for(l=0 ; l <=lmax; l++){          for(k=1; k<=ndeath; k++) sumnew+=newm[i][nlstate+k];
     l1=pow(10,l);          prlim[i][j]= newm[i][j]/(1-sumnew);
     delts=delt;          max=FMAX(max,prlim[i][j]);
     for(k=1 ; k <kmax; k=k+1){          min=FMIN(min,prlim[i][j]);
       delt = delta*(l1*k);        }
       p2[theta]=x[theta] +delt;        maxmin=max-min;
       k1=func(p2)-fx;        maxmax=FMAX(maxmax,maxmin);
       p2[theta]=x[theta]-delt;      }
       k2=func(p2)-fx;      if(maxmax < ftolpl){
       /*res= (k1-2.0*fx+k2)/delt/delt; */        return prlim;
       res= (k1+k2)/delt/delt/2.; /* Divided by because L and not 2*L */      }
          }
 #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);  
 #endif  /*************** transition probabilities ***************/ 
       /*if(fabs(k1-2.0*fx+k2) <1.e-13){ */  
       if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)){  double **pmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )
         k=kmax;  {
       }    double s1, s2;
       else if((k1 >khi/nkhif) || (k2 >khi/nkhif)){ /* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. */    /*double t34;*/
         k=kmax; l=lmax*10.;    int i,j,j1, nc, ii, jj;
       }  
       else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){      for(i=1; i<= nlstate; i++){
         delts=delt;        for(j=1; j<i;j++){
       }          for (nc=1, s2=0.;nc <=ncovmodel; 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];
   delti[theta]=delts;  /*       printf("Int j<i s1=%.17e, s2=%.17e\n",s1,s2); */
   return res;          }
            ps[i][j]=s2;
 }  /*      printf("s1=%.17e, s2=%.17e\n",s1,s2); */
         }
 double hessij( double x[], double delti[], int thetai,int thetaj)        for(j=i+1; j<=nlstate+ndeath;j++){
 {          for (nc=1, s2=0.;nc <=ncovmodel; nc++){
   int i;            s2 += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];
   int l=1, l1, lmax=20;  /*        printf("Int j>i s1=%.17e, s2=%.17e %lx %lx\n",s1,s2,s1,s2); */
   double k1,k2,k3,k4,res,fx;          }
   double p2[NPARMAX+1];          ps[i][j]=s2;
   int k;        }
       }
   fx=func(x);      /*ps[3][2]=1;*/
   for (k=1; k<=2; k++) {      
     for (i=1;i<=npar;i++) p2[i]=x[i];      for(i=1; i<= nlstate; i++){
     p2[thetai]=x[thetai]+delti[thetai]/k;        s1=0;
     p2[thetaj]=x[thetaj]+delti[thetaj]/k;        for(j=1; j<i; j++)
     k1=func(p2)-fx;          s1+=exp(ps[i][j]);
          for(j=i+1; j<=nlstate+ndeath; j++)
     p2[thetai]=x[thetai]+delti[thetai]/k;          s1+=exp(ps[i][j]);
     p2[thetaj]=x[thetaj]-delti[thetaj]/k;        ps[i][i]=1./(s1+1.);
     k2=func(p2)-fx;        for(j=1; j<i; j++)
            ps[i][j]= exp(ps[i][j])*ps[i][i];
     p2[thetai]=x[thetai]-delti[thetai]/k;        for(j=i+1; j<=nlstate+ndeath; j++)
     p2[thetaj]=x[thetaj]+delti[thetaj]/k;          ps[i][j]= exp(ps[i][j])*ps[i][i];
     k3=func(p2)-fx;        /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */
        } /* end i */
     p2[thetai]=x[thetai]-delti[thetai]/k;      
     p2[thetaj]=x[thetaj]-delti[thetaj]/k;      for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){
     k4=func(p2)-fx;        for(jj=1; jj<= nlstate+ndeath; jj++){
     res=(k1-k2-k3+k4)/4.0/delti[thetai]*k/delti[thetaj]*k/2.; /* Because of L not 2*L */          ps[ii][jj]=0;
 #ifdef DEBUG          ps[ii][ii]=1;
     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);        }
 #endif      }
   }      
   return res;  
 }  /*        for(ii=1; ii<= nlstate+ndeath; ii++){ */
   /*       for(jj=1; jj<= nlstate+ndeath; jj++){ */
 /************** Inverse of matrix **************/  /*         printf("ddd %lf ",ps[ii][jj]); */
 void ludcmp(double **a, int n, int *indx, double *d)  /*       } */
 {  /*       printf("\n "); */
   int i,imax,j,k;  /*        } */
   double big,dum,sum,temp;  /*        printf("\n ");printf("%lf ",cov[2]); */
   double *vv;         /*
          for(i=1; i<= npar; i++) printf("%f ",x[i]);
   vv=vector(1,n);        goto end;*/
   *d=1.0;      return ps;
   for (i=1;i<=n;i++) {  }
     big=0.0;  
     for (j=1;j<=n;j++)  /**************** Product of 2 matrices ******************/
       if ((temp=fabs(a[i][j])) > big) big=temp;  
     if (big == 0.0) nrerror("Singular matrix in routine ludcmp");  double **matprod2(double **out, double **in,long nrl, long nrh, long ncl, long nch, long ncolol, long ncoloh, double **b)
     vv[i]=1.0/big;  {
   }    /* Computes the matrix product of in(1,nrh-nrl+1)(1,nch-ncl+1) times
   for (j=1;j<=n;j++) {       b(1,nch-ncl+1)(1,ncoloh-ncolol+1) into out(...) */
     for (i=1;i<j;i++) {    /* in, b, out are matrice of pointers which should have been initialized 
       sum=a[i][j];       before: only the contents of out is modified. The function returns
       for (k=1;k<i;k++) sum -= a[i][k]*a[k][j];       a pointer to pointers identical to out */
       a[i][j]=sum;    long i, j, k;
     }    for(i=nrl; i<= nrh; i++)
     big=0.0;      for(k=ncolol; k<=ncoloh; k++)
     for (i=j;i<=n;i++) {        for(j=ncl,out[i][k]=0.; j<=nch; j++)
       sum=a[i][j];          out[i][k] +=in[i][j]*b[j][k];
       for (k=1;k<j;k++)  
         sum -= a[i][k]*a[k][j];    return out;
       a[i][j]=sum;  }
       if ( (dum=vv[i]*fabs(sum)) >= big) {  
         big=dum;  
         imax=i;  /************* 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 )
     if (j != imax) {  {
       for (k=1;k<=n;k++) {    /* Computes the transition matrix starting at age 'age' over 
         dum=a[imax][k];       'nhstepm*hstepm*stepm' months (i.e. until
         a[imax][k]=a[j][k];       age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying 
         a[j][k]=dum;       nhstepm*hstepm matrices. 
       }       Output is stored in matrix po[i][j][h] for h every 'hstepm' step 
       *d = -(*d);       (typically every 2 years instead of every month which is too big 
       vv[imax]=vv[j];       for the memory).
     }       Model is determined by parameters x and covariates have to be 
     indx[j]=imax;       included manually here. 
     if (a[j][j] == 0.0) a[j][j]=TINY;  
     if (j != n) {       */
       dum=1.0/(a[j][j]);  
       for (i=j+1;i<=n;i++) a[i][j] *= dum;    int i, j, d, h, k;
     }    double **out, cov[NCOVMAX];
   }    double **newm;
   free_vector(vv,1,n);  /* Doesn't work */  
 ;    /* Hstepm could be zero and should return the unit matrix */
 }    for (i=1;i<=nlstate+ndeath;i++)
       for (j=1;j<=nlstate+ndeath;j++){
 void lubksb(double **a, int n, int *indx, double b[])        oldm[i][j]=(i==j ? 1.0 : 0.0);
 {        po[i][j][0]=(i==j ? 1.0 : 0.0);
   int i,ii=0,ip,j;      }
   double sum;    /* Even if hstepm = 1, at least one multiplication by the unit matrix */
      for(h=1; h <=nhstepm; h++){
   for (i=1;i<=n;i++) {      for(d=1; d <=hstepm; d++){
     ip=indx[i];        newm=savm;
     sum=b[ip];        /* Covariates have to be included here again */
     b[ip]=b[i];        cov[1]=1.;
     if (ii)        cov[2]=age+((h-1)*hstepm + (d-1))*stepm/YEARM;
       for (j=ii;j<=i-1;j++) sum -= a[i][j]*b[j];        for (k=1; k<=cptcovn;k++) cov[2+k]=nbcode[Tvar[k]][codtab[ij][Tvar[k]]];
     else if (sum) ii=i;        for (k=1; k<=cptcovage;k++)
     b[i]=sum;          cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2];
   }        for (k=1; k<=cptcovprod;k++)
   for (i=n;i>=1;i--) {          cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]]*nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]];
     sum=b[i];  
     for (j=i+1;j<=n;j++) sum -= a[i][j]*b[j];  
     b[i]=sum/a[i][i];        /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/
   }        /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/
 }        out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, 
                      pmij(pmmij,cov,ncovmodel,x,nlstate));
 /************ Frequencies ********************/        savm=oldm;
 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)        oldm=newm;
 {  /* Some frequencies */      }
        for(i=1; i<=nlstate+ndeath; i++)
   int i, m, jk, k1,i1, j1, bool, z1,z2,j;        for(j=1;j<=nlstate+ndeath;j++) {
   double ***freq; /* Frequencies */          po[i][j][h]=newm[i][j];
   double *pp;          /*printf("i=%d j=%d h=%d po[i][j][h]=%f ",i,j,h,po[i][j][h]);
   double pos, k2, dateintsum=0,k2cpt=0;           */
   FILE *ficresp;        }
   char fileresp[FILENAMELENGTH];    } /* end h */
      return po;
   pp=vector(1,nlstate);  }
   probs= ma3x(1,AGESUP,1,NCOVMAX, 1,NCOVMAX);  
   strcpy(fileresp,"p");  
   strcat(fileresp,fileres);  /*************** log-likelihood *************/
   if((ficresp=fopen(fileresp,"w"))==NULL) {  double func( double *x)
     printf("Problem with prevalence resultfile: %s\n", fileresp);  {
     exit(0);    int i, ii, j, k, mi, d, kk;
   }    double l, ll[NLSTATEMAX], cov[NCOVMAX];
   freq= ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,agemin,agemax+3);    double **out;
   j1=0;    double sw; /* Sum of weights */
      double lli; /* Individual log likelihood */
   j=cptcoveff;    int s1, s2;
   if (cptcovn<1) {j=1;ncodemax[1]=1;}    double bbh, survp;
      long ipmx;
   for(k1=1; k1<=j;k1++){    /*extern weight */
     for(i1=1; i1<=ncodemax[k1];i1++){    /* We are differentiating ll according to initial status */
       j1++;    /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
       /*printf("cptcoveff=%d Tvaraff=%d", cptcoveff,Tvaraff[1]);    /*for(i=1;i<imx;i++) 
         scanf("%d", i);*/      printf(" %d\n",s[4][i]);
       for (i=-1; i<=nlstate+ndeath; i++)      */
         for (jk=-1; jk<=nlstate+ndeath; jk++)      cov[1]=1.;
           for(m=agemin; m <= agemax+3; m++)  
             freq[i][jk][m]=0;    for(k=1; k<=nlstate; k++) ll[k]=0.;
        
       dateintsum=0;    if(mle==1){
       k2cpt=0;      for (i=1,ipmx=0, sw=0.; i<=imx; i++){
       for (i=1; i<=imx; i++) {        for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];
         bool=1;        for(mi=1; mi<= wav[i]-1; mi++){
         if  (cptcovn>0) {          for (ii=1;ii<=nlstate+ndeath;ii++)
           for (z1=1; z1<=cptcoveff; z1++)            for (j=1;j<=nlstate+ndeath;j++){
             if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtab[j1][z1]])              oldm[ii][j]=(ii==j ? 1.0 : 0.0);
               bool=0;              savm[ii][j]=(ii==j ? 1.0 : 0.0);
         }            }
         if (bool==1) {          for(d=0; d<dh[mi][i]; d++){
           for(m=firstpass; m<=lastpass; m++){            newm=savm;
             k2=anint[m][i]+(mint[m][i]/12.);            cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;
             if ((k2>=dateprev1) && (k2<=dateprev2)) {            for (kk=1; kk<=cptcovage;kk++) {
               if(agev[m][i]==0) agev[m][i]=agemax+1;              cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
               if(agev[m][i]==1) agev[m][i]=agemax+2;            }
               if (m<lastpass) {            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                 freq[s[m][i]][s[m+1][i]][(int)agev[m][i]] += weight[i];                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                 freq[s[m][i]][s[m+1][i]][(int) agemax+3] += weight[i];            savm=oldm;
               }            oldm=newm;
                        } /* end mult */
               if ((agev[m][i]>1) && (agev[m][i]< (agemax+3))) {        
                 dateintsum=dateintsum+k2;          /*lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);*/ /* Original formula */
                 k2cpt++;          /* But now since version 0.9 we anticipate for bias and large stepm.
               }           * If stepm is larger than one month (smallest stepm) and if the exact delay 
             }           * (in months) between two waves is not a multiple of stepm, we rounded to 
           }           * the nearest (and in case of equal distance, to the lowest) interval but now
         }           * we keep into memory the bias bh[mi][i] and also the previous matrix product
       }           * (i.e to dh[mi][i]-1) saved in 'savm'. The we inter(extra)polate the
                   * probability in order to take into account the bias as a fraction of the way
       fprintf(ficresp, "#Count between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);           * from savm to out if bh is neagtive or even beyond if bh is positive. bh varies
            * -stepm/2 to stepm/2 .
       if  (cptcovn>0) {           * For stepm=1 the results are the same as for previous versions of Imach.
         fprintf(ficresp, "\n#********** Variable ");           * For stepm > 1 the results are less biased than in previous versions. 
         for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresp, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);           */
         fprintf(ficresp, "**********\n#");          s1=s[mw[mi][i]][i];
       }          s2=s[mw[mi+1][i]][i];
       for(i=1; i<=nlstate;i++)          bbh=(double)bh[mi][i]/(double)stepm; 
         fprintf(ficresp, " Age Prev(%d) N(%d) N",i,i);          /* bias is positive if real duration
       fprintf(ficresp, "\n");           * is higher than the multiple of stepm and negative otherwise.
                 */
       for(i=(int)agemin; i <= (int)agemax+3; i++){          /* lli= (savm[s1][s2]>1.e-8 ?(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]):log((1.+bbh)*out[s1][s2]));*/
         if(i==(int)agemax+3)          if( s2 > nlstate){ 
           printf("Total");            /* i.e. if s2 is a death state and if the date of death is known then the contribution
         else               to the likelihood is the probability to die between last step unit time and current 
           printf("Age %d", i);               step unit time, which is also the differences between probability to die before dh 
         for(jk=1; jk <=nlstate ; jk++){               and probability to die before dh-stepm . 
           for(m=-1, pp[jk]=0; m <=nlstate+ndeath ; m++)               In version up to 0.92 likelihood was computed
             pp[jk] += freq[jk][m][i];          as if date of death was unknown. Death was treated as any other
         }          health state: the date of the interview describes the actual state
         for(jk=1; jk <=nlstate ; jk++){          and not the date of a change in health state. The former idea was
           for(m=-1, pos=0; m <=0 ; m++)          to consider that at each interview the state was recorded
             pos += freq[jk][m][i];          (healthy, disable or death) and IMaCh was corrected; but when we
           if(pp[jk]>=1.e-10)          introduced the exact date of death then we should have modified
             printf(" %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);          the contribution of an exact death to the likelihood. This new
           else          contribution is smaller and very dependent of the step unit
             printf(" %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);          stepm. It is no more the probability to die between last interview
         }          and month of death but the probability to survive from last
           interview up to one month before death multiplied by the
         for(jk=1; jk <=nlstate ; jk++){          probability to die within a month. Thanks to Chris
           for(m=0, pp[jk]=0; m <=nlstate+ndeath; m++)          Jackson for correcting this bug.  Former versions increased
             pp[jk] += freq[jk][m][i];          mortality artificially. The bad side is that we add another loop
         }          which slows down the processing. The difference can be up to 10%
           lower mortality.
         for(jk=1,pos=0; jk <=nlstate ; jk++)            */
           pos += pp[jk];            lli=log(out[s1][s2] - savm[s1][s2]);
         for(jk=1; jk <=nlstate ; jk++){          }else{
           if(pos>=1.e-5)            lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
             printf(" %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);            /*  lli= (savm[s1][s2]>(double)1.e-8 ?log((1.+bbh)*out[s1][s2]- bbh*(savm[s1][s2])):log((1.+bbh)*out[s1][s2]));*/ /* linear interpolation */
           else          } 
             printf(" %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);          /*lli=(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]);*/
           if( i <= (int) agemax){          /*if(lli ==000.0)*/
             if(pos>=1.e-5){          /*printf("bbh= %f lli=%f savm=%f out=%f %d\n",bbh,lli,savm[s1][s2], out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]],i); */
               fprintf(ficresp," %d %.5f %.0f %.0f",i,pp[jk]/pos, pp[jk],pos);          ipmx +=1;
               probs[i][jk][j1]= pp[jk]/pos;          sw += weight[i];
               /*printf("\ni=%d jk=%d j1=%d %.5f %.0f %.0f %f",i,jk,j1,pp[jk]/pos, pp[jk],pos,probs[i][jk][j1]);*/          ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
             }        } /* end of wave */
             else      } /* end of individual */
               fprintf(ficresp," %d NaNq %.0f %.0f",i,pp[jk],pos);    }  else if(mle==2){
           }      for (i=1,ipmx=0, sw=0.; i<=imx; i++){
         }        for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];
                for(mi=1; mi<= wav[i]-1; mi++){
         for(jk=-1; jk <=nlstate+ndeath; jk++)          for (ii=1;ii<=nlstate+ndeath;ii++)
           for(m=-1; m <=nlstate+ndeath; m++)            for (j=1;j<=nlstate+ndeath;j++){
             if(freq[jk][m][i] !=0 ) printf(" %d%d=%.0f",jk,m,freq[jk][m][i]);              oldm[ii][j]=(ii==j ? 1.0 : 0.0);
         if(i <= (int) agemax)              savm[ii][j]=(ii==j ? 1.0 : 0.0);
           fprintf(ficresp,"\n");            }
         printf("\n");          for(d=0; d<=dh[mi][i]; d++){
       }            newm=savm;
     }            cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;
   }            for (kk=1; kk<=cptcovage;kk++) {
   dateintmean=dateintsum/k2cpt;              cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
              }
   fclose(ficresp);            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
   free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath,(int) agemin,(int) agemax+3);                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
   free_vector(pp,1,nlstate);            savm=oldm;
              oldm=newm;
   /* End of Freq */          } /* end mult */
 }        
           s1=s[mw[mi][i]][i];
 /************ Prevalence ********************/          s2=s[mw[mi+1][i]][i];
 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)          bbh=(double)bh[mi][i]/(double)stepm; 
 {  /* Some frequencies */          lli= (savm[s1][s2]>(double)1.e-8 ?log((1.+bbh)*out[s1][s2]- bbh*(savm[s1][s2])):log((1.+bbh)*out[s1][s2])); /* linear interpolation */
            ipmx +=1;
   int i, m, jk, k1, i1, j1, bool, z1,z2,j;          sw += weight[i];
   double ***freq; /* Frequencies */          ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
   double *pp;        } /* end of wave */
   double pos, k2;      } /* end of individual */
     }  else if(mle==3){  /* exponential inter-extrapolation */
   pp=vector(1,nlstate);      for (i=1,ipmx=0, sw=0.; i<=imx; i++){
   probs= ma3x(1,AGESUP,1,NCOVMAX, 1,NCOVMAX);        for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];
          for(mi=1; mi<= wav[i]-1; mi++){
   freq=ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,agemin,agemax+3);          for (ii=1;ii<=nlstate+ndeath;ii++)
   j1=0;            for (j=1;j<=nlstate+ndeath;j++){
                oldm[ii][j]=(ii==j ? 1.0 : 0.0);
   j=cptcoveff;              savm[ii][j]=(ii==j ? 1.0 : 0.0);
   if (cptcovn<1) {j=1;ncodemax[1]=1;}            }
            for(d=0; d<dh[mi][i]; d++){
   for(k1=1; k1<=j;k1++){            newm=savm;
     for(i1=1; i1<=ncodemax[k1];i1++){            cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;
       j1++;            for (kk=1; kk<=cptcovage;kk++) {
                    cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
       for (i=-1; i<=nlstate+ndeath; i++)              }
         for (jk=-1; jk<=nlstate+ndeath; jk++)              out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
           for(m=agemin; m <= agemax+3; m++)                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
             freq[i][jk][m]=0;            savm=oldm;
                  oldm=newm;
       for (i=1; i<=imx; i++) {          } /* end mult */
         bool=1;        
         if  (cptcovn>0) {          s1=s[mw[mi][i]][i];
           for (z1=1; z1<=cptcoveff; z1++)          s2=s[mw[mi+1][i]][i];
             if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtab[j1][z1]])          bbh=(double)bh[mi][i]/(double)stepm; 
               bool=0;          lli= (savm[s1][s2]>1.e-8 ?(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]):log((1.+bbh)*out[s1][s2])); /* exponential inter-extrapolation */
         }          ipmx +=1;
         if (bool==1) {          sw += weight[i];
           for(m=firstpass; m<=lastpass; m++){          ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
             k2=anint[m][i]+(mint[m][i]/12.);        } /* end of wave */
             if ((k2>=dateprev1) && (k2<=dateprev2)) {      } /* end of individual */
               if(agev[m][i]==0) agev[m][i]=agemax+1;    }else if (mle==4){  /* ml=4 no inter-extrapolation */
               if(agev[m][i]==1) agev[m][i]=agemax+2;      for (i=1,ipmx=0, sw=0.; i<=imx; i++){
               if (m<lastpass) {        for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];
                 if (calagedate>0)        for(mi=1; mi<= wav[i]-1; mi++){
                   freq[s[m][i]][s[m+1][i]][(int)(agev[m][i]+1-((int)calagedate %12)/12.)] += weight[i];          for (ii=1;ii<=nlstate+ndeath;ii++)
                 else            for (j=1;j<=nlstate+ndeath;j++){
                   freq[s[m][i]][s[m+1][i]][(int)agev[m][i]] += weight[i];              oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                 freq[s[m][i]][s[m+1][i]][(int)(agemax+3)] += weight[i];              savm[ii][j]=(ii==j ? 1.0 : 0.0);
               }            }
             }          for(d=0; d<dh[mi][i]; d++){
           }            newm=savm;
         }            cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;
       }            for (kk=1; kk<=cptcovage;kk++) {
       for(i=(int)agemin; i <= (int)agemax+3; i++){              cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
         for(jk=1; jk <=nlstate ; jk++){            }
           for(m=-1, pp[jk]=0; m <=nlstate+ndeath ; m++)          
             pp[jk] += freq[jk][m][i];            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
         }                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
         for(jk=1; jk <=nlstate ; jk++){            savm=oldm;
           for(m=-1, pos=0; m <=0 ; m++)            oldm=newm;
             pos += freq[jk][m][i];          } /* end mult */
         }        
                  s1=s[mw[mi][i]][i];
         for(jk=1; jk <=nlstate ; jk++){          s2=s[mw[mi+1][i]][i];
           for(m=0, pp[jk]=0; m <=nlstate+ndeath; m++)          if( s2 > nlstate){ 
             pp[jk] += freq[jk][m][i];            lli=log(out[s1][s2] - savm[s1][s2]);
         }          }else{
                    lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
         for(jk=1,pos=0; jk <=nlstate ; jk++) pos += pp[jk];          }
                  ipmx +=1;
         for(jk=1; jk <=nlstate ; jk++){              sw += weight[i];
           if( i <= (int) agemax){          ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
             if(pos>=1.e-5){  /*      printf("i=%6d s1=%1d s2=%1d mi=%1d mw=%1d dh=%3d prob=%10.6f w=%6.4f out=%10.6f sav=%10.6f\n",i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],out[s1][s2],savm[s1][s2]); */
               probs[i][jk][j1]= pp[jk]/pos;        } /* end of wave */
             }      } /* end of individual */
           }    }else{  /* ml=5 no inter-extrapolation no jackson =0.8a */
         }      for (i=1,ipmx=0, sw=0.; i<=imx; i++){
                for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];
       }        for(mi=1; mi<= wav[i]-1; mi++){
     }          for (ii=1;ii<=nlstate+ndeath;ii++)
   }            for (j=1;j<=nlstate+ndeath;j++){
               oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                savm[ii][j]=(ii==j ? 1.0 : 0.0);
   free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath,(int) agemin,(int) agemax+3);            }
   free_vector(pp,1,nlstate);          for(d=0; d<dh[mi][i]; d++){
              newm=savm;
 }  /* End of Freq */            cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;
             for (kk=1; kk<=cptcovage;kk++) {
 /************* Waves Concatenation ***************/              cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
             }
 void  concatwav(int wav[], int **dh, int **mw, int **s, double *agedc, double **agev, int  firstpass, int lastpass, int imx, int nlstate, int stepm)          
 {            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
   /* Concatenates waves: wav[i] is the number of effective (useful waves) of individual i.                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
      Death is a valid wave (if date is known).            savm=oldm;
      mw[mi][i] is the mi (mi=1 to wav[i])  effective wave of individual i            oldm=newm;
      dh[m][i] of dh[mw[mi][i][i] is the delay between two effective waves m=mw[mi][i]          } /* end mult */
      and mw[mi+1][i]. dh depends on stepm.        
      */          s1=s[mw[mi][i]][i];
           s2=s[mw[mi+1][i]][i];
   int i, mi, m;          lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
   /* int j, k=0,jk, ju, jl,jmin=1e+5, jmax=-1;          ipmx +=1;
      double sum=0., jmean=0.;*/          sw += weight[i];
           ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
   int j, k=0,jk, ju, jl;          /*printf("i=%6d s1=%1d s2=%1d mi=%1d mw=%1d dh=%3d prob=%10.6f w=%6.4f out=%10.6f sav=%10.6f\n",i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],out[s1][s2],savm[s1][s2]);*/
   double sum=0.;        } /* end of wave */
   jmin=1e+5;      } /* end of individual */
   jmax=-1;    } /* End of if */
   jmean=0.;    for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
   for(i=1; i<=imx; i++){    /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
     mi=0;    l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
     m=firstpass;    return -l;
     while(s[m][i] <= nlstate){  }
       if(s[m][i]>=1)  
         mw[++mi][i]=m;  /*************** log-likelihood *************/
       if(m >=lastpass)  double funcone( double *x)
         break;  {
       else    /* Same as likeli but slower because of a lot of printf and if */
         m++;    int i, ii, j, k, mi, d, kk;
     }/* end while */    double l, ll[NLSTATEMAX], cov[NCOVMAX];
     if (s[m][i] > nlstate){    double **out;
       mi++;     /* Death is another wave */    double lli; /* Individual log likelihood */
       /* if(mi==0)  never been interviewed correctly before death */    double llt;
          /* Only death is a correct wave */    int s1, s2;
       mw[mi][i]=m;    double bbh, survp;
     }    /*extern weight */
     /* We are differentiating ll according to initial status */
     wav[i]=mi;    /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
     if(mi==0)    /*for(i=1;i<imx;i++) 
       printf("Warning, no any valid information for:%d line=%d\n",num[i],i);      printf(" %d\n",s[4][i]);
   }    */
     cov[1]=1.;
   for(i=1; i<=imx; i++){  
     for(mi=1; mi<wav[i];mi++){    for(k=1; k<=nlstate; k++) ll[k]=0.;
       if (stepm <=0)  
         dh[mi][i]=1;    for (i=1,ipmx=0, sw=0.; i<=imx; i++){
       else{      for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];
         if (s[mw[mi+1][i]][i] > nlstate) {      for(mi=1; mi<= wav[i]-1; mi++){
           if (agedc[i] < 2*AGESUP) {        for (ii=1;ii<=nlstate+ndeath;ii++)
           j= rint(agedc[i]*12-agev[mw[mi][i]][i]*12);          for (j=1;j<=nlstate+ndeath;j++){
           if(j==0) j=1;  /* Survives at least one month after exam */            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
           k=k+1;            savm[ii][j]=(ii==j ? 1.0 : 0.0);
           if (j >= jmax) jmax=j;          }
           if (j <= jmin) jmin=j;        for(d=0; d<dh[mi][i]; d++){
           sum=sum+j;          newm=savm;
           /*if (j<0) printf("j=%d num=%d \n",j,i); */          cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;
           }          for (kk=1; kk<=cptcovage;kk++) {
         }            cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
         else{          }
           j= rint( (agev[mw[mi+1][i]][i]*12 - agev[mw[mi][i]][i]*12));          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
           k=k+1;                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
           if (j >= jmax) jmax=j;          savm=oldm;
           else if (j <= jmin)jmin=j;          oldm=newm;
           /*        if (j<10) printf("j=%d jmin=%d num=%d ",j,jmin,i); */        } /* end mult */
           sum=sum+j;        
         }        s1=s[mw[mi][i]][i];
         jk= j/stepm;        s2=s[mw[mi+1][i]][i];
         jl= j -jk*stepm;        bbh=(double)bh[mi][i]/(double)stepm; 
         ju= j -(jk+1)*stepm;        /* bias is positive if real duration
         if(jl <= -ju)         * is higher than the multiple of stepm and negative otherwise.
           dh[mi][i]=jk;         */
         else        if( s2 > nlstate && (mle <5) ){  /* Jackson */
           dh[mi][i]=jk+1;          lli=log(out[s1][s2] - savm[s1][s2]);
         if(dh[mi][i]==0)        } else if (mle==1){
           dh[mi][i]=1; /* At least one step */          lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
       }        } else if(mle==2){
     }          lli= (savm[s1][s2]>(double)1.e-8 ?log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]):log((1.+bbh)*out[s1][s2])); /* linear interpolation */
   }        } else if(mle==3){  /* exponential inter-extrapolation */
   jmean=sum/k;          lli= (savm[s1][s2]>(double)1.e-8 ?(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]):log((1.+bbh)*out[s1][s2])); /* exponential inter-extrapolation */
   printf("Delay (in months) between two waves Min=%d Max=%d Mean=%f\n\n ",jmin, jmax,jmean);        } else if (mle==4){  /* mle=4 no inter-extrapolation */
  }          lli=log(out[s1][s2]); /* Original formula */
 /*********** Tricode ****************************/        } else{  /* ml>=5 no inter-extrapolation no jackson =0.8a */
 void tricode(int *Tvar, int **nbcode, int imx)          lli=log(out[s1][s2]); /* Original formula */
 {        } /* End of if */
   int Ndum[20],ij=1, k, j, i;        ipmx +=1;
   int cptcode=0;        sw += weight[i];
   cptcoveff=0;        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
    /*       printf("i=%6d s1=%1d s2=%1d mi=%1d mw=%1d dh=%3d prob=%10.6f w=%6.4f out=%10.6f sav=%10.6f\n",i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],out[s1][s2],savm[s1][s2]); */
   for (k=0; k<19; k++) Ndum[k]=0;        if(globpr){
   for (k=1; k<=7; k++) ncodemax[k]=0;          fprintf(ficresilk,"%9d %6d %1d %1d %1d %1d %3d %10.6f %6.4f\
    %10.6f %10.6f %10.6f ", \
   for (j=1; j<=(cptcovn+2*cptcovprod); j++) {                  num[i],i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],
     for (i=1; i<=imx; i++) {                  2*weight[i]*lli,out[s1][s2],savm[s1][s2]);
       ij=(int)(covar[Tvar[j]][i]);          for(k=1,llt=0.,l=0.; k<=nlstate; k++){
       Ndum[ij]++;            llt +=ll[k]*gipmx/gsw;
       /*printf("i=%d ij=%d Ndum[ij]=%d imx=%d",i,ij,Ndum[ij],imx);*/            fprintf(ficresilk," %10.6f",-ll[k]*gipmx/gsw);
       if (ij > cptcode) cptcode=ij;          }
     }          fprintf(ficresilk," %10.6f\n", -llt);
         }
     for (i=0; i<=cptcode; i++) {      } /* end of wave */
       if(Ndum[i]!=0) ncodemax[j]++;    } /* end of individual */
     }    for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
     ij=1;    /* 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 */
     if(globpr==0){ /* First time we count the contributions and weights */
     for (i=1; i<=ncodemax[j]; i++) {      gipmx=ipmx;
       for (k=0; k<=19; k++) {      gsw=sw;
         if (Ndum[k] != 0) {    }
           nbcode[Tvar[j]][ij]=k;    return -l;
            }
           ij++;  
         }  
         if (ij > ncodemax[j]) break;  /*************** function likelione ***********/
       }    void likelione(FILE *ficres,double p[], int npar, int nlstate, int *globpri, long *ipmx, double *sw, double *fretone, double (*funcone)(double []))
     }  {
   }      /* This routine should help understanding what is done with 
        the selection of individuals/waves and
  for (k=0; k<19; k++) Ndum[k]=0;       to check the exact contribution to the likelihood.
        Plotting could be done.
  for (i=1; i<=ncovmodel-2; i++) {     */
       ij=Tvar[i];    int k;
       Ndum[ij]++;  
     }    if(*globpri !=0){ /* Just counts and sums, no printings */
       strcpy(fileresilk,"ilk"); 
  ij=1;      strcat(fileresilk,fileres);
  for (i=1; i<=10; i++) {      if((ficresilk=fopen(fileresilk,"w"))==NULL) {
    if((Ndum[i]!=0) && (i<=ncovcol)){        printf("Problem with resultfile: %s\n", fileresilk);
      Tvaraff[ij]=i;        fprintf(ficlog,"Problem with resultfile: %s\n", fileresilk);
      ij++;      }
    }      fprintf(ficresilk, "#individual(line's_record) s1 s2 wave# effective_wave# number_of_matrices_product pij weight -2ln(pij)*weight 0pij_x 0pij_(x-stepm) cumulating_loglikeli_by_health_state(reweighted=-2ll*weightXnumber_of_contribs/sum_of_weights) and_total\n");
  }      fprintf(ficresilk, "#num_i i s1 s2 mi mw dh likeli weight 2wlli out sav ");
        /*  i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],2*weight[i]*lli,out[s1][s2],savm[s1][s2]); */
     cptcoveff=ij-1;      for(k=1; k<=nlstate; k++) 
 }        fprintf(ficresilk," -2*gipw/gsw*weight*ll[%d]++",k);
       fprintf(ficresilk," -2*gipw/gsw*weight*ll(total)\n");
 /*********** 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 )    *fretone=(*funcone)(p);
     if(*globpri !=0){
 {      fclose(ficresilk);
   /* Health expectancies */      fprintf(fichtm,"\n<br>File of contributions to the likelihood: <a href=\"%s\">%s</a><br>\n",subdirf(fileresilk),subdirf(fileresilk));
   int i, j, nhstepm, hstepm, h, nstepm, k, cptj;      fflush(fichtm); 
   double age, agelim, hf;    } 
   double ***p3mat,***varhe;    return;
   double **dnewm,**doldm;  }
   double *xp;  
   double **gp, **gm;  
   double ***gradg, ***trgradg;  /*********** Maximum Likelihood Estimation ***************/
   int theta;  
   void mlikeli(FILE *ficres,double p[], int npar, int ncovmodel, int nlstate, double ftol, double (*func)(double []))
   varhe=ma3x(1,nlstate*2,1,nlstate*2,(int) bage, (int) fage);  {
   xp=vector(1,npar);    int i,j, iter;
   dnewm=matrix(1,nlstate*2,1,npar);    double **xi;
   doldm=matrix(1,nlstate*2,1,nlstate*2);    double fret;
      double fretone; /* Only one call to likelihood */
   fprintf(ficreseij,"# Health expectancies\n");    /*  char filerespow[FILENAMELENGTH];*/
   fprintf(ficreseij,"# Age");    xi=matrix(1,npar,1,npar);
   for(i=1; i<=nlstate;i++)    for (i=1;i<=npar;i++)
     for(j=1; j<=nlstate;j++)      for (j=1;j<=npar;j++)
       fprintf(ficreseij," %1d-%1d (SE)",i,j);        xi[i][j]=(i==j ? 1.0 : 0.0);
   fprintf(ficreseij,"\n");    printf("Powell\n");  fprintf(ficlog,"Powell\n");
     strcpy(filerespow,"pow"); 
   if(estepm < stepm){    strcat(filerespow,fileres);
     printf ("Problem %d lower than %d\n",estepm, stepm);    if((ficrespow=fopen(filerespow,"w"))==NULL) {
   }      printf("Problem with resultfile: %s\n", filerespow);
   else  hstepm=estepm;        fprintf(ficlog,"Problem with resultfile: %s\n", filerespow);
   /* We compute the life expectancy from trapezoids spaced every estepm months    }
    * This is mainly to measure the difference between two models: for example    fprintf(ficrespow,"# Powell\n# iter -2*LL");
    * if stepm=24 months pijx are given only every 2 years and by summing them    for (i=1;i<=nlstate;i++)
    * we are calculating an estimate of the Life Expectancy assuming a linear      for(j=1;j<=nlstate+ndeath;j++)
    * progression inbetween and thus overestimating or underestimating according        if(j!=i)fprintf(ficrespow," p%1d%1d",i,j);
    * to the curvature of the survival function. If, for the same date, we    fprintf(ficrespow,"\n");
    * 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    powell(p,xi,npar,ftol,&iter,&fret,func);
    * hypothesis. A more precise result, taking into account a more precise  
    * curvature will be obtained if estepm is as small as stepm. */    fclose(ficrespow);
     printf("\n#Number of iterations = %d, -2 Log likelihood = %.12f\n",iter,func(p));
   /* For example we decided to compute the life expectancy with the smallest unit */    fprintf(ficlog,"\n#Number of iterations = %d, -2 Log likelihood = %.12f \n",iter,func(p));
   /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm.    fprintf(ficres,"#Number of iterations = %d, -2 Log likelihood = %.12f \n",iter,func(p));
      nhstepm is the number of hstepm from age to agelim  
      nstepm is the number of stepm from age to agelin.  }
      Look at hpijx to understand the reason of that which relies in memory size  
      and note for a fixed period like estepm months */  /**** Computes Hessian and covariance matrix ***/
   /* We decided (b) to get a life expectancy respecting the most precise curvature of the  void hesscov(double **matcov, double p[], int npar, double delti[], double ftolhess, double (*func)(double []))
      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    double  **a,**y,*x,pd;
      you sum them up and add 1 year (area under the trapezoids) you won't get the same    double **hess;
      results. So we changed our mind and took the option of the best precision.    int i, j,jk;
   */    int *indx;
   hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */  
     double hessii(double p[], double delta, int theta, double delti[],double (*func)(double []),int npar);
   agelim=AGESUP;    double hessij(double p[], double delti[], int i, int j,double (*func)(double []),int npar);
   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */    void lubksb(double **a, int npar, int *indx, double b[]) ;
     /* nhstepm age range expressed in number of stepm */    void ludcmp(double **a, int npar, int *indx, double *d) ;
     nstepm=(int) rint((agelim-age)*YEARM/stepm);    double gompertz(double p[]);
     /* Typically if 20 years nstepm = 20*12/6=40 stepm */    hess=matrix(1,npar,1,npar);
     /* if (stepm >= YEARM) hstepm=1;*/  
     nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */    printf("\nCalculation of the hessian matrix. Wait...\n");
     p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);    fprintf(ficlog,"\nCalculation of the hessian matrix. Wait...\n");
     gradg=ma3x(0,nhstepm,1,npar,1,nlstate*2);    for (i=1;i<=npar;i++){
     gp=matrix(0,nhstepm,1,nlstate*2);      printf("%d",i);fflush(stdout);
     gm=matrix(0,nhstepm,1,nlstate*2);      fprintf(ficlog,"%d",i);fflush(ficlog);
      
     /* Computed by stepm unit matrices, product of hstepm matrices, stored       hess[i][i]=hessii(p,ftolhess,i,delti,func,npar);
        in an array of nhstepm length: nhstepm=10, hstepm=4, stepm=6 months */      
     hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm, savm, ij);        /*  printf(" %f ",p[i]);
            printf(" %lf %lf %lf",hess[i][i],ftolhess,delti[i]);*/
     }
     hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */    
     for (i=1;i<=npar;i++) {
     /* Computing Variances of health expectancies */      for (j=1;j<=npar;j++)  {
         if (j>i) { 
      for(theta=1; theta <=npar; theta++){          printf(".%d%d",i,j);fflush(stdout);
       for(i=1; i<=npar; i++){          fprintf(ficlog,".%d%d",i,j);fflush(ficlog);
         xp[i] = x[i] + (i==theta ?delti[theta]:0);          hess[i][j]=hessij(p,delti,i,j,func,npar);
       }          
       hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);            hess[j][i]=hess[i][j];    
            /*printf(" %lf ",hess[i][j]);*/
       cptj=0;        }
       for(j=1; j<= nlstate; j++){      }
         for(i=1; i<=nlstate; i++){    }
           cptj=cptj+1;    printf("\n");
           for(h=0, gp[h][cptj]=0.; h<=nhstepm-1; h++){    fprintf(ficlog,"\n");
             gp[h][cptj] = (p3mat[i][j][h]+p3mat[i][j][h+1])/2.;  
           }    printf("\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);
          y=matrix(1,npar,1,npar);
       for(i=1; i<=npar; i++)    x=vector(1,npar);
         xp[i] = x[i] - (i==theta ?delti[theta]:0);    indx=ivector(1,npar);
       hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);      for (i=1;i<=npar;i++)
            for (j=1;j<=npar;j++) a[i][j]=hess[i][j];
       cptj=0;    ludcmp(a,npar,indx,&pd);
       for(j=1; j<= nlstate; j++){  
         for(i=1;i<=nlstate;i++){    for (j=1;j<=npar;j++) {
           cptj=cptj+1;      for (i=1;i<=npar;i++) x[i]=0;
           for(h=0, gm[h][cptj]=0.; h<=nhstepm-1; h++){      x[j]=1;
             gm[h][cptj] = (p3mat[i][j][h]+p3mat[i][j][h+1])/2.;      lubksb(a,npar,indx,x);
           }      for (i=1;i<=npar;i++){ 
         }        matcov[i][j]=x[i];
       }      }
          }
      
     printf("\n#Hessian matrix#\n");
       for(j=1; j<= nlstate*2; j++)    fprintf(ficlog,"\n#Hessian matrix#\n");
         for(h=0; h<=nhstepm-1; h++){    for (i=1;i<=npar;i++) { 
           gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta];      for (j=1;j<=npar;j++) { 
         }        printf("%.3e ",hess[i][j]);
         fprintf(ficlog,"%.3e ",hess[i][j]);
      }      }
          printf("\n");
 /* End theta */      fprintf(ficlog,"\n");
     }
      trgradg =ma3x(0,nhstepm,1,nlstate*2,1,npar);  
     /* Recompute Inverse */
      for(h=0; h<=nhstepm-1; h++)    for (i=1;i<=npar;i++)
       for(j=1; j<=nlstate*2;j++)      for (j=1;j<=npar;j++) a[i][j]=matcov[i][j];
         for(theta=1; theta <=npar; theta++)    ludcmp(a,npar,indx,&pd);
         trgradg[h][j][theta]=gradg[h][theta][j];  
     /*  printf("\n#Hessian matrix recomputed#\n");
   
      for(i=1;i<=nlstate*2;i++)    for (j=1;j<=npar;j++) {
       for(j=1;j<=nlstate*2;j++)      for (i=1;i<=npar;i++) x[i]=0;
         varhe[i][j][(int)age] =0.;      x[j]=1;
       lubksb(a,npar,indx,x);
      printf("%d||",(int)age);fflush(stdout);      for (i=1;i<=npar;i++){ 
     for(h=0;h<=nhstepm-1;h++){        y[i][j]=x[i];
       for(k=0;k<=nhstepm-1;k++){        printf("%.3e ",y[i][j]);
         matprod2(dnewm,trgradg[h],1,nlstate*2,1,npar,1,npar,matcov);        fprintf(ficlog,"%.3e ",y[i][j]);
         matprod2(doldm,dnewm,1,nlstate*2,1,npar,1,nlstate*2,gradg[k]);      }
         for(i=1;i<=nlstate*2;i++)      printf("\n");
           for(j=1;j<=nlstate*2;j++)      fprintf(ficlog,"\n");
             varhe[i][j][(int)age] += doldm[i][j]*hf*hf;    }
       }    */
     }  
     free_matrix(a,1,npar,1,npar);
          free_matrix(y,1,npar,1,npar);
     /* Computing expectancies */    free_vector(x,1,npar);
     for(i=1; i<=nlstate;i++)    free_ivector(indx,1,npar);
       for(j=1; j<=nlstate;j++)    free_matrix(hess,1,npar,1,npar);
         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;  
            }
 /* 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]);*/  
   /*************** hessian matrix ****************/
         }  double hessii(double x[], double delta, int theta, double delti[], double (*func)(double []), int npar)
   {
     fprintf(ficreseij,"%3.0f",age );    int i;
     cptj=0;    int l=1, lmax=20;
     for(i=1; i<=nlstate;i++)    double k1,k2;
       for(j=1; j<=nlstate;j++){    double p2[NPARMAX+1];
         cptj++;    double res;
         fprintf(ficreseij," %9.4f (%.4f)", eij[i][j][(int)age], sqrt(varhe[cptj][cptj][(int)age]) );    double delt=0.0001, delts, nkhi=10.,nkhif=1., khi=1.e-4;
       }    double fx;
     fprintf(ficreseij,"\n");    int k=0,kmax=10;
        double l1;
     free_matrix(gm,0,nhstepm,1,nlstate*2);  
     free_matrix(gp,0,nhstepm,1,nlstate*2);    fx=func(x);
     free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate*2);    for (i=1;i<=npar;i++) p2[i]=x[i];
     free_ma3x(trgradg,0,nhstepm,1,nlstate*2,1,npar);    for(l=0 ; l <=lmax; l++){
     free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);      l1=pow(10,l);
   }      delts=delt;
   free_vector(xp,1,npar);      for(k=1 ; k <kmax; k=k+1){
   free_matrix(dnewm,1,nlstate*2,1,npar);        delt = delta*(l1*k);
   free_matrix(doldm,1,nlstate*2,1,nlstate*2);        p2[theta]=x[theta] +delt;
   free_ma3x(varhe,1,nlstate*2,1,nlstate*2,(int) bage, (int)fage);        k1=func(p2)-fx;
 }        p2[theta]=x[theta]-delt;
         k2=func(p2)-fx;
 /************ Variance ******************/        /*res= (k1-2.0*fx+k2)/delt/delt; */
 void varevsij(char fileres[], double ***vareij, double **matcov, double x[], double delti[], int nlstate, int stepm, double bage, double fage, double **oldm, double **savm, double **prlim, double ftolpl, int ij, int estepm)        res= (k1+k2)/delt/delt/2.; /* Divided by because L and not 2*L */
 {        
   /* Variance of health expectancies */  #ifdef DEBUG
   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);*/        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);
   double **newm;        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);
   double **dnewm,**doldm;  #endif
   int i, j, nhstepm, hstepm, h, nstepm ;        /*if(fabs(k1-2.0*fx+k2) <1.e-13){ */
   int k, cptcode;        if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)){
   double *xp;          k=kmax;
   double **gp, **gm;        }
   double ***gradg, ***trgradg;        else if((k1 >khi/nkhif) || (k2 >khi/nkhif)){ /* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. */
   double ***p3mat;          k=kmax; l=lmax*10.;
   double age,agelim, hf;        }
   int theta;        else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){ 
           delts=delt;
    fprintf(ficresvij,"# Covariances of life expectancies\n");        }
   fprintf(ficresvij,"# Age");      }
   for(i=1; i<=nlstate;i++)    }
     for(j=1; j<=nlstate;j++)    delti[theta]=delts;
       fprintf(ficresvij," Cov(e%1d, e%1d)",i,j);    return res; 
   fprintf(ficresvij,"\n");    
   }
   xp=vector(1,npar);  
   dnewm=matrix(1,nlstate,1,npar);  double hessij( double x[], double delti[], int thetai,int thetaj,double (*func)(double []),int npar)
   doldm=matrix(1,nlstate,1,nlstate);  {
      int i;
   if(estepm < stepm){    int l=1, l1, lmax=20;
     printf ("Problem %d lower than %d\n",estepm, stepm);    double k1,k2,k3,k4,res,fx;
   }    double p2[NPARMAX+1];
   else  hstepm=estepm;      int k;
   /* 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.    fx=func(x);
      nhstepm is the number of hstepm from age to agelim    for (k=1; k<=2; k++) {
      nstepm is the number of stepm from age to agelin.      for (i=1;i<=npar;i++) p2[i]=x[i];
      Look at hpijx to understand the reason of that which relies in memory size      p2[thetai]=x[thetai]+delti[thetai]/k;
      and note for a fixed period like k years */      p2[thetaj]=x[thetaj]+delti[thetaj]/k;
   /* We decided (b) to get a life expectancy respecting the most precise curvature of the      k1=func(p2)-fx;
      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      p2[thetai]=x[thetai]+delti[thetai]/k;
      you sum them up and add 1 year (area under the trapezoids) you won't get the same      p2[thetaj]=x[thetaj]-delti[thetaj]/k;
      results. So we changed our mind and took the option of the best precision.      k2=func(p2)-fx;
   */    
   hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */      p2[thetai]=x[thetai]-delti[thetai]/k;
   agelim = AGESUP;      p2[thetaj]=x[thetaj]+delti[thetaj]/k;
   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */      k3=func(p2)-fx;
     nstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */    
     nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */      p2[thetai]=x[thetai]-delti[thetai]/k;
     p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);      p2[thetaj]=x[thetaj]-delti[thetaj]/k;
     gradg=ma3x(0,nhstepm,1,npar,1,nlstate);      k4=func(p2)-fx;
     gp=matrix(0,nhstepm,1,nlstate);      res=(k1-k2-k3+k4)/4.0/delti[thetai]*k/delti[thetaj]*k/2.; /* Because of L not 2*L */
     gm=matrix(0,nhstepm,1,nlstate);  #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);
     for(theta=1; theta <=npar; theta++){      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);
       for(i=1; i<=npar; i++){ /* Computes gradient */  #endif
         xp[i] = x[i] + (i==theta ?delti[theta]:0);    }
       }    return res;
       hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);    }
       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);  
   /************** Inverse of matrix **************/
       if (popbased==1) {  void ludcmp(double **a, int n, int *indx, double *d) 
         for(i=1; i<=nlstate;i++)  { 
           prlim[i][i]=probs[(int)age][i][ij];    int i,imax,j,k; 
       }    double big,dum,sum,temp; 
      double *vv; 
       for(j=1; j<= nlstate; j++){   
         for(h=0; h<=nhstepm; h++){    vv=vector(1,n); 
           for(i=1, gp[h][j]=0.;i<=nlstate;i++)    *d=1.0; 
             gp[h][j] += prlim[i][i]*p3mat[i][j][h];    for (i=1;i<=n;i++) { 
         }      big=0.0; 
       }      for (j=1;j<=n;j++) 
            if ((temp=fabs(a[i][j])) > big) big=temp; 
       for(i=1; i<=npar; i++) /* Computes gradient */      if (big == 0.0) nrerror("Singular matrix in routine ludcmp"); 
         xp[i] = x[i] - (i==theta ?delti[theta]:0);      vv[i]=1.0/big; 
       hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);      } 
       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);    for (j=1;j<=n;j++) { 
        for (i=1;i<j;i++) { 
       if (popbased==1) {        sum=a[i][j]; 
         for(i=1; i<=nlstate;i++)        for (k=1;k<i;k++) sum -= a[i][k]*a[k][j]; 
           prlim[i][i]=probs[(int)age][i][ij];        a[i][j]=sum; 
       }      } 
       big=0.0; 
       for(j=1; j<= nlstate; j++){      for (i=j;i<=n;i++) { 
         for(h=0; h<=nhstepm; h++){        sum=a[i][j]; 
           for(i=1, gm[h][j]=0.;i<=nlstate;i++)        for (k=1;k<j;k++) 
             gm[h][j] += prlim[i][i]*p3mat[i][j][h];          sum -= a[i][k]*a[k][j]; 
         }        a[i][j]=sum; 
       }        if ( (dum=vv[i]*fabs(sum)) >= big) { 
           big=dum; 
       for(j=1; j<= nlstate; j++)          imax=i; 
         for(h=0; h<=nhstepm; h++){        } 
           gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta];      } 
         }      if (j != imax) { 
     } /* End theta */        for (k=1;k<=n;k++) { 
           dum=a[imax][k]; 
     trgradg =ma3x(0,nhstepm,1,nlstate,1,npar);          a[imax][k]=a[j][k]; 
           a[j][k]=dum; 
     for(h=0; h<=nhstepm; h++)        } 
       for(j=1; j<=nlstate;j++)        *d = -(*d); 
         for(theta=1; theta <=npar; theta++)        vv[imax]=vv[j]; 
           trgradg[h][j][theta]=gradg[h][theta][j];      } 
       indx[j]=imax; 
     hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */      if (a[j][j] == 0.0) a[j][j]=TINY; 
     for(i=1;i<=nlstate;i++)      if (j != n) { 
       for(j=1;j<=nlstate;j++)        dum=1.0/(a[j][j]); 
         vareij[i][j][(int)age] =0.;        for (i=j+1;i<=n;i++) a[i][j] *= dum; 
       } 
     for(h=0;h<=nhstepm;h++){    } 
       for(k=0;k<=nhstepm;k++){    free_vector(vv,1,n);  /* Doesn't work */
         matprod2(dnewm,trgradg[h],1,nlstate,1,npar,1,npar,matcov);  ;
         matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg[k]);  } 
         for(i=1;i<=nlstate;i++)  
           for(j=1;j<=nlstate;j++)  void lubksb(double **a, int n, int *indx, double b[]) 
             vareij[i][j][(int)age] += doldm[i][j]*hf*hf;  { 
       }    int i,ii=0,ip,j; 
     }    double sum; 
    
     fprintf(ficresvij,"%.0f ",age );    for (i=1;i<=n;i++) { 
     for(i=1; i<=nlstate;i++)      ip=indx[i]; 
       for(j=1; j<=nlstate;j++){      sum=b[ip]; 
         fprintf(ficresvij," %.4f", vareij[i][j][(int)age]);      b[ip]=b[i]; 
       }      if (ii) 
     fprintf(ficresvij,"\n");        for (j=ii;j<=i-1;j++) sum -= a[i][j]*b[j]; 
     free_matrix(gp,0,nhstepm,1,nlstate);      else if (sum) ii=i; 
     free_matrix(gm,0,nhstepm,1,nlstate);      b[i]=sum; 
     free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate);    } 
     free_ma3x(trgradg,0,nhstepm,1,nlstate,1,npar);    for (i=n;i>=1;i--) { 
     free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);      sum=b[i]; 
   } /* End age */      for (j=i+1;j<=n;j++) sum -= a[i][j]*b[j]; 
        b[i]=sum/a[i][i]; 
   free_vector(xp,1,npar);    } 
   free_matrix(doldm,1,nlstate,1,npar);  } 
   free_matrix(dnewm,1,nlstate,1,nlstate);  
   /************ Frequencies ********************/
 }  void  freqsummary(char fileres[], int iagemin, int iagemax, int **s, double **agev, int nlstate, int imx, int *Tvaraff, int **nbcode, int *ncodemax,double **mint,double **anint)
   {  /* Some frequencies */
 /************ 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)    int i, m, jk, k1,i1, j1, bool, z1,z2,j;
 {    int first;
   /* Variance of prevalence limit */    double ***freq; /* Frequencies */
   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);*/    double *pp, **prop;
   double **newm;    double pos,posprop, k2, dateintsum=0,k2cpt=0;
   double **dnewm,**doldm;    FILE *ficresp;
   int i, j, nhstepm, hstepm;    char fileresp[FILENAMELENGTH];
   int k, cptcode;    
   double *xp;    pp=vector(1,nlstate);
   double *gp, *gm;    prop=matrix(1,nlstate,iagemin,iagemax+3);
   double **gradg, **trgradg;    strcpy(fileresp,"p");
   double age,agelim;    strcat(fileresp,fileres);
   int theta;    if((ficresp=fopen(fileresp,"w"))==NULL) {
          printf("Problem with prevalence resultfile: %s\n", fileresp);
   fprintf(ficresvpl,"# Standard deviation of prevalences limit\n");      fprintf(ficlog,"Problem with prevalence resultfile: %s\n", fileresp);
   fprintf(ficresvpl,"# Age");      exit(0);
   for(i=1; i<=nlstate;i++)    }
       fprintf(ficresvpl," %1d-%1d",i,i);    freq= ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,iagemin,iagemax+3);
   fprintf(ficresvpl,"\n");    j1=0;
     
   xp=vector(1,npar);    j=cptcoveff;
   dnewm=matrix(1,nlstate,1,npar);    if (cptcovn<1) {j=1;ncodemax[1]=1;}
   doldm=matrix(1,nlstate,1,nlstate);  
      first=1;
   hstepm=1*YEARM; /* Every year of age */  
   hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */    for(k1=1; k1<=j;k1++){
   agelim = AGESUP;      for(i1=1; i1<=ncodemax[k1];i1++){
   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */        j1++;
     nhstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */        /*printf("cptcoveff=%d Tvaraff=%d", cptcoveff,Tvaraff[1]);
     if (stepm >= YEARM) hstepm=1;          scanf("%d", i);*/
     nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */        for (i=-1; i<=nlstate+ndeath; i++)  
     gradg=matrix(1,npar,1,nlstate);          for (jk=-1; jk<=nlstate+ndeath; jk++)  
     gp=vector(1,nlstate);            for(m=iagemin; m <= iagemax+3; m++)
     gm=vector(1,nlstate);              freq[i][jk][m]=0;
   
     for(theta=1; theta <=npar; theta++){      for (i=1; i<=nlstate; i++)  
       for(i=1; i<=npar; i++){ /* Computes gradient */        for(m=iagemin; m <= iagemax+3; m++)
         xp[i] = x[i] + (i==theta ?delti[theta]:0);          prop[i][m]=0;
       }        
       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);        dateintsum=0;
       for(i=1;i<=nlstate;i++)        k2cpt=0;
         gp[i] = prlim[i][i];        for (i=1; i<=imx; i++) {
              bool=1;
       for(i=1; i<=npar; i++) /* Computes gradient */          if  (cptcovn>0) {
         xp[i] = x[i] - (i==theta ?delti[theta]:0);            for (z1=1; z1<=cptcoveff; z1++) 
       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);              if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtab[j1][z1]]) 
       for(i=1;i<=nlstate;i++)                bool=0;
         gm[i] = prlim[i][i];          }
           if (bool==1){
       for(i=1;i<=nlstate;i++)            for(m=firstpass; m<=lastpass; m++){
         gradg[theta][i]= (gp[i]-gm[i])/2./delti[theta];              k2=anint[m][i]+(mint[m][i]/12.);
     } /* End theta */              /*if ((k2>=dateprev1) && (k2<=dateprev2)) {*/
                 if(agev[m][i]==0) agev[m][i]=iagemax+1;
     trgradg =matrix(1,nlstate,1,npar);                if(agev[m][i]==1) agev[m][i]=iagemax+2;
                 if (s[m][i]>0 && s[m][i]<=nlstate) prop[s[m][i]][(int)agev[m][i]] += weight[i];
     for(j=1; j<=nlstate;j++)                if (m<lastpass) {
       for(theta=1; theta <=npar; theta++)                  freq[s[m][i]][s[m+1][i]][(int)agev[m][i]] += weight[i];
         trgradg[j][theta]=gradg[theta][j];                  freq[s[m][i]][s[m+1][i]][iagemax+3] += weight[i];
                 }
     for(i=1;i<=nlstate;i++)                
       varpl[i][(int)age] =0.;                if ((agev[m][i]>1) && (agev[m][i]< (iagemax+3))) {
     matprod2(dnewm,trgradg,1,nlstate,1,npar,1,npar,matcov);                  dateintsum=dateintsum+k2;
     matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg);                  k2cpt++;
     for(i=1;i<=nlstate;i++)                }
       varpl[i][(int)age] = doldm[i][i]; /* Covariances are useless */                /*}*/
             }
     fprintf(ficresvpl,"%.0f ",age );          }
     for(i=1; i<=nlstate;i++)        }
       fprintf(ficresvpl," %.5f (%.5f)",prlim[i][i],sqrt(varpl[i][(int)age]));         
     fprintf(ficresvpl,"\n");        /*      fprintf(ficresp, "#Count between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);*/
     free_vector(gp,1,nlstate);  
     free_vector(gm,1,nlstate);        if  (cptcovn>0) {
     free_matrix(gradg,1,npar,1,nlstate);          fprintf(ficresp, "\n#********** Variable "); 
     free_matrix(trgradg,1,nlstate,1,npar);          for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresp, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
   } /* End age */          fprintf(ficresp, "**********\n#");
         }
   free_vector(xp,1,npar);        for(i=1; i<=nlstate;i++) 
   free_matrix(doldm,1,nlstate,1,npar);          fprintf(ficresp, " Age Prev(%d) N(%d) N",i,i);
   free_matrix(dnewm,1,nlstate,1,nlstate);        fprintf(ficresp, "\n");
         
 }        for(i=iagemin; i <= iagemax+3; i++){
           if(i==iagemax+3){
 /************ Variance of one-step probabilities  ******************/            fprintf(ficlog,"Total");
 void varprob(char fileres[], double **matcov, double x[], double delti[], int nlstate, double bage, double fage, int ij, int *Tvar, int **nbcode, int *ncodemax)          }else{
 {            if(first==1){
   int i, j, i1, k1, j1, z1;              first=0;
   int k=0, cptcode;              printf("See log file for details...\n");
   double **dnewm,**doldm;            }
   double *xp;            fprintf(ficlog,"Age %d", i);
   double *gp, *gm;          }
   double **gradg, **trgradg;          for(jk=1; jk <=nlstate ; jk++){
   double age,agelim, cov[NCOVMAX];            for(m=-1, pp[jk]=0; m <=nlstate+ndeath ; m++)
   int theta;              pp[jk] += freq[jk][m][i]; 
   char fileresprob[FILENAMELENGTH];          }
           for(jk=1; jk <=nlstate ; jk++){
   strcpy(fileresprob,"prob");            for(m=-1, pos=0; m <=0 ; m++)
   strcat(fileresprob,fileres);              pos += freq[jk][m][i];
   if((ficresprob=fopen(fileresprob,"w"))==NULL) {            if(pp[jk]>=1.e-10){
     printf("Problem with resultfile: %s\n", fileresprob);              if(first==1){
   }              printf(" %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);
   printf("Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);              }
                fprintf(ficlog," %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);
 fprintf(ficresprob,"#One-step probabilities and standard deviation in parentheses\n");            }else{
   fprintf(ficresprob,"# Age");              if(first==1)
   for(i=1; i<=nlstate;i++)                printf(" %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);
     for(j=1; j<=(nlstate+ndeath);j++)              fprintf(ficlog," %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);
       fprintf(ficresprob," p%1d-%1d (SE)",i,j);            }
           }
   
   fprintf(ficresprob,"\n");          for(jk=1; jk <=nlstate ; jk++){
             for(m=0, pp[jk]=0; m <=nlstate+ndeath; m++)
               pp[jk] += freq[jk][m][i];
   xp=vector(1,npar);          }       
   dnewm=matrix(1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);          for(jk=1,pos=0,posprop=0; jk <=nlstate ; jk++){
   doldm=matrix(1,(nlstate+ndeath)*(nlstate+ndeath),1,(nlstate+ndeath)*(nlstate+ndeath));            pos += pp[jk];
              posprop += prop[jk][i];
   cov[1]=1;          }
   j=cptcoveff;          for(jk=1; jk <=nlstate ; jk++){
   if (cptcovn<1) {j=1;ncodemax[1]=1;}            if(pos>=1.e-5){
   j1=0;              if(first==1)
   for(k1=1; k1<=1;k1++){                printf(" %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);
     for(i1=1; i1<=ncodemax[k1];i1++){              fprintf(ficlog," %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);
     j1++;            }else{
               if(first==1)
     if  (cptcovn>0) {                printf(" %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);
       fprintf(ficresprob, "\n#********** Variable ");              fprintf(ficlog," %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);
       for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprob, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);            }
       fprintf(ficresprob, "**********\n#");            if( i <= iagemax){
     }              if(pos>=1.e-5){
                    fprintf(ficresp," %d %.5f %.0f %.0f",i,prop[jk][i]/posprop, prop[jk][i],posprop);
       for (age=bage; age<=fage; age ++){                /*probs[i][jk][j1]= pp[jk]/pos;*/
         cov[2]=age;                /*printf("\ni=%d jk=%d j1=%d %.5f %.0f %.0f %f",i,jk,j1,pp[jk]/pos, pp[jk],pos,probs[i][jk][j1]);*/
         for (k=1; k<=cptcovn;k++) {              }
           cov[2+k]=nbcode[Tvar[k]][codtab[j1][Tvar[k]]];              else
                          fprintf(ficresp," %d NaNq %.0f %.0f",i,prop[jk][i],posprop);
         }            }
         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(jk=-1; jk <=nlstate+ndeath; jk++)
                    for(m=-1; m <=nlstate+ndeath; m++)
         gradg=matrix(1,npar,1,9);              if(freq[jk][m][i] !=0 ) {
         trgradg=matrix(1,9,1,npar);              if(first==1)
         gp=vector(1,(nlstate+ndeath)*(nlstate+ndeath));                printf(" %d%d=%.0f",jk,m,freq[jk][m][i]);
         gm=vector(1,(nlstate+ndeath)*(nlstate+ndeath));                fprintf(ficlog," %d%d=%.0f",jk,m,freq[jk][m][i]);
                  }
         for(theta=1; theta <=npar; theta++){          if(i <= iagemax)
           for(i=1; i<=npar; i++)            fprintf(ficresp,"\n");
             xp[i] = x[i] + (i==theta ?delti[theta]:0);          if(first==1)
                      printf("Others in log...\n");
           pmij(pmmij,cov,ncovmodel,xp,nlstate);          fprintf(ficlog,"\n");
                  }
           k=0;      }
           for(i=1; i<= (nlstate+ndeath); i++){    }
             for(j=1; j<=(nlstate+ndeath);j++){    dateintmean=dateintsum/k2cpt; 
               k=k+1;   
               gp[k]=pmmij[i][j];    fclose(ficresp);
             }    free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath, iagemin, iagemax+3);
           }    free_vector(pp,1,nlstate);
              free_matrix(prop,1,nlstate,iagemin, iagemax+3);
           for(i=1; i<=npar; i++)    /* End of Freq */
             xp[i] = x[i] - (i==theta ?delti[theta]:0);  }
      
           pmij(pmmij,cov,ncovmodel,xp,nlstate);  /************ Prevalence ********************/
           k=0;  void prevalence(double ***probs, double agemin, double agemax, int **s, double **agev, int nlstate, int imx, int *Tvar, int **nbcode, int *ncodemax,double **mint,double **anint, double dateprev1,double dateprev2, int firstpass, int lastpass)
           for(i=1; i<=(nlstate+ndeath); i++){  {  
             for(j=1; j<=(nlstate+ndeath);j++){    /* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people
               k=k+1;       in each health status at the date of interview (if between dateprev1 and dateprev2).
               gm[k]=pmmij[i][j];       We still use firstpass and lastpass as another selection.
             }    */
           }   
          int i, m, jk, k1, i1, j1, bool, z1,z2,j;
           for(i=1; i<= (nlstate+ndeath)*(nlstate+ndeath); i++)    double ***freq; /* Frequencies */
             gradg[theta][i]=(gp[i]-gm[i])/2./delti[theta];      double *pp, **prop;
         }    double pos,posprop; 
     double  y2; /* in fractional years */
         for(j=1; j<=(nlstate+ndeath)*(nlstate+ndeath);j++)    int iagemin, iagemax;
           for(theta=1; theta <=npar; theta++)  
             trgradg[j][theta]=gradg[theta][j];    iagemin= (int) agemin;
            iagemax= (int) agemax;
         matprod2(dnewm,trgradg,1,9,1,npar,1,npar,matcov);    /*pp=vector(1,nlstate);*/
         matprod2(doldm,dnewm,1,9,1,npar,1,9,gradg);    prop=matrix(1,nlstate,iagemin,iagemax+3); 
            /*  freq=ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,iagemin,iagemax+3);*/
         pmij(pmmij,cov,ncovmodel,x,nlstate);    j1=0;
            
         k=0;    j=cptcoveff;
         for(i=1; i<=(nlstate+ndeath); i++){    if (cptcovn<1) {j=1;ncodemax[1]=1;}
           for(j=1; j<=(nlstate+ndeath);j++){    
             k=k+1;    for(k1=1; k1<=j;k1++){
             gm[k]=pmmij[i][j];      for(i1=1; i1<=ncodemax[k1];i1++){
           }        j1++;
         }        
              for (i=1; i<=nlstate; i++)  
      /*printf("\n%d ",(int)age);          for(m=iagemin; m <= iagemax+3; m++)
      for (i=1; i<=(nlstate+ndeath)*(nlstate+ndeath-1);i++){            prop[i][m]=0.0;
        printf("%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));       
      }*/        for (i=1; i<=imx; i++) { /* Each individual */
           bool=1;
         fprintf(ficresprob,"\n%d ",(int)age);          if  (cptcovn>0) {
             for (z1=1; z1<=cptcoveff; z1++) 
         for (i=1; i<=(nlstate+ndeath)*(nlstate+ndeath-1);i++)              if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtab[j1][z1]]) 
           fprintf(ficresprob,"%.3e (%.3e) ",gm[i],sqrt(doldm[i][i]));                bool=0;
            } 
       }          if (bool==1) { 
     }            for(m=firstpass; m<=lastpass; m++){/* Other selection (we can limit to certain interviews*/
     free_vector(gp,1,(nlstate+ndeath)*(nlstate+ndeath));              y2=anint[m][i]+(mint[m][i]/12.); /* Fractional date in year */
     free_vector(gm,1,(nlstate+ndeath)*(nlstate+ndeath));              if ((y2>=dateprev1) && (y2<=dateprev2)) { /* Here is the main selection (fractional years) */
     free_matrix(trgradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);                if(agev[m][i]==0) agev[m][i]=iagemax+1;
     free_matrix(gradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);                if(agev[m][i]==1) agev[m][i]=iagemax+2;
   }                if((int)agev[m][i] <iagemin || (int)agev[m][i] >iagemax+3) printf("Error on individual =%d agev[m][i]=%f m=%d\n",i, agev[m][i],m); 
   free_vector(xp,1,npar);                if (s[m][i]>0 && s[m][i]<=nlstate) { 
   fclose(ficresprob);                  /*if(i>4620) printf(" i=%d m=%d s[m][i]=%d (int)agev[m][i]=%d weight[i]=%f prop=%f\n",i,m,s[m][i],(int)agev[m][m],weight[i],prop[s[m][i]][(int)agev[m][i]]);*/
                    prop[s[m][i]][(int)agev[m][i]] += weight[i];
 }                  prop[s[m][i]][iagemax+3] += weight[i]; 
                 } 
 /******************* Printing html file ***********/              }
 void printinghtml(char fileres[], char title[], char datafile[], int firstpass, \            } /* end selection of waves */
  int lastpass, int stepm, int weightopt, char model[],\          }
  int imx,int jmin, int jmax, double jmeanint,char optionfile[], \        }
  char optionfilehtm[],char rfileres[], char optionfilegnuplot[],\        for(i=iagemin; i <= iagemax+3; i++){  
  char version[], int popforecast, int estepm ){          
   int jj1, k1, i1, cpt;          for(jk=1,posprop=0; jk <=nlstate ; jk++) { 
   FILE *fichtm;            posprop += prop[jk][i]; 
   /*char optionfilehtm[FILENAMELENGTH];*/          } 
   
   strcpy(optionfilehtm,optionfile);          for(jk=1; jk <=nlstate ; jk++){     
   strcat(optionfilehtm,".htm");            if( i <=  iagemax){ 
   if((fichtm=fopen(optionfilehtm,"w"))==NULL)    {              if(posprop>=1.e-5){ 
     printf("Problem with %s \n",optionfilehtm), exit(0);                probs[i][jk][j1]= prop[jk][i]/posprop;
   }              } 
             } 
  fprintf(fichtm,"<body> <font size=\"2\">%s </font> <hr size=\"2\" color=\"#EC5E5E\"> \n          }/* end jk */ 
 Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=%s<br>\n        }/* end i */ 
 \n      } /* end i1 */
 Total number of observations=%d <br>\n    } /* end k1 */
 Interval (in months) between two waves: Min=%d Max=%d Mean=%.2lf<br>\n    
 <hr  size=\"2\" color=\"#EC5E5E\">    /*  free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath, iagemin, iagemax+3);*/
  <ul><li>Outputs files<br>\n    /*free_vector(pp,1,nlstate);*/
  - Copy of the parameter file: <a href=\"o%s\">o%s</a><br>\n    free_matrix(prop,1,nlstate, iagemin,iagemax+3);
  - Gnuplot file name: <a href=\"%s\">%s</a><br>\n  }  /* End of prevalence */
  - Observed prevalence in each state: <a href=\"p%s\">p%s</a> <br>\n  
  - Stationary prevalence in each state: <a href=\"pl%s\">pl%s</a> <br>\n  /************* Waves Concatenation ***************/
  - Transition probabilities: <a href=\"pij%s\">pij%s</a><br>\n  
  - Life expectancies by age and initial health status (estepm=%2d months): <a href=\"e%s\">e%s</a> <br>\n",version,title,datafile,firstpass,lastpass,stepm, weightopt,model,imx,jmin,jmax,jmean,fileres,fileres,optionfilegnuplot,optionfilegnuplot,fileres,fileres,fileres,fileres,fileres,fileres,estepm,fileres,fileres);  void  concatwav(int wav[], int **dh, int **bh,  int **mw, int **s, double *agedc, double **agev, int  firstpass, int lastpass, int imx, int nlstate, int stepm)
   {
  fprintf(fichtm,"\n    /* Concatenates waves: wav[i] is the number of effective (useful waves) of individual i.
  - Parameter file with estimated parameters and the covariance matrix: <a href=\"%s\">%s</a> <br>\n       Death is a valid wave (if date is known).
   - Variance of one-step probabilities: <a href=\"prob%s\">prob%s</a> <br>\n       mw[mi][i] is the mi (mi=1 to wav[i])  effective wave of individual i
  - Variances of life expectancies by age and initial health status (estepm=%d months): <a href=\"v%s\">v%s</a><br>\n       dh[m][i] or dh[mw[mi][i]][i] is the delay between two effective waves m=mw[mi][i]
  - Health expectancies with their variances: <a href=\"t%s\">t%s</a> <br>\n       and mw[mi+1][i]. dh depends on stepm.
  - Standard deviation of stationary prevalences: <a href=\"vpl%s\">vpl%s</a> <br>\n",rfileres,rfileres,fileres,fileres, estepm, fileres,fileres,fileres,fileres,fileres,fileres);       */
   
  if(popforecast==1) fprintf(fichtm,"\n    int i, mi, m;
  - Prevalences forecasting: <a href=\"f%s\">f%s</a> <br>\n    /* int j, k=0,jk, ju, jl,jmin=1e+5, jmax=-1;
  - Population forecasting (if popforecast=1): <a href=\"pop%s\">pop%s</a> <br>\n       double sum=0., jmean=0.;*/
         <br>",fileres,fileres,fileres,fileres);    int first;
  else    int j, k=0,jk, ju, jl;
    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);    double sum=0.;
 fprintf(fichtm," <li>Graphs</li><p>");    first=0;
     jmin=1e+5;
  m=cptcoveff;    jmax=-1;
  if (cptcovn < 1) {m=1;ncodemax[1]=1;}    jmean=0.;
     for(i=1; i<=imx; i++){
  jj1=0;      mi=0;
  for(k1=1; k1<=m;k1++){      m=firstpass;
    for(i1=1; i1<=ncodemax[k1];i1++){      while(s[m][i] <= nlstate){
        jj1++;        if(s[m][i]>=1)
        if (cptcovn > 0) {          mw[++mi][i]=m;
          fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");        if(m >=lastpass)
          for (cpt=1; cpt<=cptcoveff;cpt++)          break;
            fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtab[jj1][cpt]]);        else
          fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");          m++;
        }      }/* end while */
        fprintf(fichtm,"<br>- Probabilities: pe%s%d.png<br>      if (s[m][i] > nlstate){
 <img src=\"pe%s%d.png\">",strtok(optionfile, "."),jj1,strtok(optionfile, "."),jj1);            mi++;     /* Death is another wave */
        for(cpt=1; cpt<nlstate;cpt++){        /* if(mi==0)  never been interviewed correctly before death */
          fprintf(fichtm,"<br>- Prevalence of disability : p%s%d%d.png<br>           /* Only death is a correct wave */
 <img src=\"p%s%d%d.png\">",strtok(optionfile, "."),cpt,jj1,strtok(optionfile, "."),cpt,jj1);        mw[mi][i]=m;
        }      }
     for(cpt=1; cpt<=nlstate;cpt++) {  
        fprintf(fichtm,"<br>- Observed and stationary prevalence (with confident      wav[i]=mi;
 interval) in state (%d): v%s%d%d.png <br>      if(mi==0){
 <img src=\"v%s%d%d.png\">",cpt,strtok(optionfile, "."),cpt,jj1,strtok(optionfile, "."),cpt,jj1);          nbwarn++;
      }        if(first==0){
      for(cpt=1; cpt<=nlstate;cpt++) {          printf("Warning! None valid information for:%ld line=%d (skipped) and may be others, see log file\n",num[i],i);
         fprintf(fichtm,"\n<br>- Health life expectancies by age and initial health state (%d): exp%s%d%d.png <br>          first=1;
 <img src=\"exp%s%d%d.png\">",cpt,strtok(optionfile, "."),cpt,jj1,strtok(optionfile, "."),cpt,jj1);        }
      }        if(first==1){
      fprintf(fichtm,"\n<br>- Total life expectancy by age and          fprintf(ficlog,"Warning! None valid information for:%ld line=%d (skipped)\n",num[i],i);
 health expectancies in states (1) and (2): e%s%d.png<br>        }
 <img src=\"e%s%d.png\">",strtok(optionfile, "."),jj1,strtok(optionfile, "."),jj1);      } /* end mi==0 */
 fprintf(fichtm,"\n</body>");    } /* End individuals */
    }  
    }    for(i=1; i<=imx; i++){
 fclose(fichtm);      for(mi=1; mi<wav[i];mi++){
 }        if (stepm <=0)
           dh[mi][i]=1;
 /******************* Gnuplot file **************/        else{
 void printinggnuplot(char fileres[],char optionfilefiname[],char optionfile[],char optionfilegnuplot[], double ageminpar, double agemaxpar, double fage , char pathc[], double p[]){          if (s[mw[mi+1][i]][i] > nlstate) { /* A death */
             if (agedc[i] < 2*AGESUP) {
   int m,cpt,k1,i,k,j,jk,k2,k3,ij,l;              j= rint(agedc[i]*12-agev[mw[mi][i]][i]*12); 
               if(j==0) j=1;  /* Survives at least one month after exam */
   strcpy(optionfilegnuplot,optionfilefiname);              else if(j<0){
   strcat(optionfilegnuplot,".gp.txt");                nberr++;
   if((ficgp=fopen(optionfilegnuplot,"w"))==NULL) {                printf("Error! Negative delay (%d to death) between waves %d and %d of individual %ld at line %d who is aged %.1f with statuses from %d to %d\n ",j,mw[mi][i],mw[mi+1][i],num[i], i,agev[mw[mi][i]][i],s[mw[mi][i]][i] ,s[mw[mi+1][i]][i]);
     printf("Problem with file %s",optionfilegnuplot);                j=1; /* Temporary Dangerous patch */
   }                printf("   We assumed that the date of interview was correct (and not the date of death) and postponed the death %d month(s) (one stepm) after the interview.\n  You MUST fix the contradiction between dates.\n",stepm);
                 fprintf(ficlog,"Error! Negative delay (%d to death) between waves %d and %d of individual %ld at line %d who is aged %.1f with statuses from %d to %d\n ",j,mw[mi][i],mw[mi+1][i],num[i], i,agev[mw[mi][i]][i],s[mw[mi][i]][i] ,s[mw[mi+1][i]][i]);
 #ifdef windows                fprintf(ficlog,"   We assumed that the date of interview was correct (and not the date of death) and postponed the death %d month(s) (one stepm) after the interview.\n  You MUST fix the contradiction between dates.\n",stepm);
     fprintf(ficgp,"cd \"%s\" \n",pathc);              }
 #endif              k=k+1;
 m=pow(2,cptcoveff);              if (j >= jmax) jmax=j;
                if (j <= jmin) jmin=j;
  /* 1eme*/              sum=sum+j;
   for (cpt=1; cpt<= nlstate ; cpt ++) {              /*if (j<0) printf("j=%d num=%d \n",j,i);*/
    for (k1=1; k1<= m ; k1 ++) {              /*    printf("%d %d %d %d\n", s[mw[mi][i]][i] ,s[mw[mi+1][i]][i],j,i);*/
             }
 #ifdef windows          }
      fprintf(ficgp,"\nset out \"v%s%d%d.png\" \n\n",strtok(optionfile, "."),cpt,k1);          else{
      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);            j= rint( (agev[mw[mi+1][i]][i]*12 - agev[mw[mi][i]][i]*12));
 #endif            /*      printf("%d %d %d %d\n", s[mw[mi][i]][i] ,s[mw[mi+1][i]][i],j,i);*/
 #ifdef unix            k=k+1;
 fprintf(ficgp,"\nset out \"v%s%d%d.png\" \n\n",strtok(optionfile, "."),cpt,k1);            if (j >= jmax) jmax=j;
 fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \nplot [%.f:%.f] \"vpl%s\" u 1:2 \"\%%lf",ageminpar,fage,fileres);            else if (j <= jmin)jmin=j;
 #endif            /*        if (j<10) printf("j=%d jmin=%d num=%d ",j,jmin,i); */
             /*printf("%d %lf %d %d %d\n", i,agev[mw[mi][i]][i],j,s[mw[mi][i]][i] ,s[mw[mi+1][i]][i]);*/
 for (i=1; i<= nlstate ; i ++) {            if(j<0){
   if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");              nberr++;
   else fprintf(ficgp," \%%*lf (\%%*lf)");              printf("Error! Negative delay (%d) between waves %d and %d of individual %ld at line %d who is aged %.1f with statuses from %d to %d\n ",j,mw[mi][i],mw[mi+1][i],num[i], i,agev[mw[mi][i]][i],s[mw[mi][i]][i] ,s[mw[mi+1][i]][i]);
 }              fprintf(ficlog,"Error! Negative delay (%d) between waves %d and %d of individual %ld at line %d who is aged %.1f with statuses from %d to %d\n ",j,mw[mi][i],mw[mi+1][i],num[i], i,agev[mw[mi][i]][i],s[mw[mi][i]][i] ,s[mw[mi+1][i]][i]);
     fprintf(ficgp,"\" t\"Stationary prevalence\" w l 0,\"vpl%s\" every :::%d::%d u 1:($2+2*$3) \"\%%lf",fileres,k1-1,k1-1);            }
     for (i=1; i<= nlstate ; i ++) {            sum=sum+j;
   if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");          }
   else fprintf(ficgp," \%%*lf (\%%*lf)");          jk= j/stepm;
 }          jl= j -jk*stepm;
   fprintf(ficgp,"\" t\"95\%% CI\" w l 1,\"vpl%s\" every :::%d::%d u 1:($2-2*$3) \"\%%lf",fileres,k1-1,k1-1);          ju= j -(jk+1)*stepm;
      for (i=1; i<= nlstate ; i ++) {          if(mle <=1){ /* only if we use a the linear-interpoloation pseudo-likelihood */
   if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");            if(jl==0){
   else fprintf(ficgp," \%%*lf (\%%*lf)");              dh[mi][i]=jk;
 }                bh[mi][i]=0;
      fprintf(ficgp,"\" t\"\" w l 1,\"p%s\" every :::%d::%d u 1:($%d) t\"Observed prevalence \" w l 2",fileres,k1-1,k1-1,2+4*(cpt-1));            }else{ /* We want a negative bias in order to only have interpolation ie
 #ifdef unix                    * at the price of an extra matrix product in likelihood */
 fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65\n");              dh[mi][i]=jk+1;
 #endif              bh[mi][i]=ju;
    }            }
   }          }else{
   /*2 eme*/            if(jl <= -ju){
               dh[mi][i]=jk;
   for (k1=1; k1<= m ; k1 ++) {              bh[mi][i]=jl;       /* bias is positive if real duration
     fprintf(ficgp,"\nset out \"e%s%d.png\" \n\n",strtok(optionfile, "."),k1);                                   * is higher than the multiple of stepm and negative otherwise.
     fprintf(ficgp,"set ylabel \"Years\" \nset ter png small\nset size 0.65,0.65\nplot [%.f:%.f] ",ageminpar,fage);                                   */
                }
     for (i=1; i<= nlstate+1 ; i ++) {            else{
       k=2*i;              dh[mi][i]=jk+1;
       fprintf(ficgp,"\"t%s\" every :::%d::%d u 1:2 \"\%%lf",fileres,k1-1,k1-1);              bh[mi][i]=ju;
       for (j=1; j<= nlstate+1 ; j ++) {            }
   if (j==i) fprintf(ficgp," \%%lf (\%%lf)");            if(dh[mi][i]==0){
   else fprintf(ficgp," \%%*lf (\%%*lf)");              dh[mi][i]=1; /* At least one step */
 }                bh[mi][i]=ju; /* At least one step */
       if (i== 1) fprintf(ficgp,"\" t\"TLE\" w l ,");              /*  printf(" bh=%d ju=%d jl=%d dh=%d jk=%d stepm=%d %d\n",bh[mi][i],ju,jl,dh[mi][i],jk,stepm,i);*/
       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);          } /* end if mle */
       for (j=1; j<= nlstate+1 ; j ++) {        }
         if (j==i) fprintf(ficgp," \%%lf (\%%lf)");      } /* end wave */
         else fprintf(ficgp," \%%*lf (\%%*lf)");    }
 }      jmean=sum/k;
       fprintf(ficgp,"\" t\"\" w l 0,");    printf("Delay (in months) between two waves Min=%d Max=%d Mean=%f\n\n ",jmin, jmax,jmean);
      fprintf(ficgp,"\"t%s\" every :::%d::%d u 1:($2+$3*2) \"\%%lf",fileres,k1-1,k1-1);    fprintf(ficlog,"Delay (in months) between two waves Min=%d Max=%d Mean=%f\n\n ",jmin, jmax,jmean);
       for (j=1; j<= nlstate+1 ; j ++) {   }
   if (j==i) fprintf(ficgp," \%%lf (\%%lf)");  
   else fprintf(ficgp," \%%*lf (\%%*lf)");  /*********** Tricode ****************************/
 }    void tricode(int *Tvar, int **nbcode, int imx)
       if (i== (nlstate+1)) fprintf(ficgp,"\" t\"\" w l 0");  {
       else fprintf(ficgp,"\" t\"\" w l 0,");    
     }    int Ndum[20],ij=1, k, j, i, maxncov=19;
   }    int cptcode=0;
      cptcoveff=0; 
   /*3eme*/   
     for (k=0; k<maxncov; k++) Ndum[k]=0;
   for (k1=1; k1<= m ; k1 ++) {    for (k=1; k<=7; k++) ncodemax[k]=0;
     for (cpt=1; cpt<= nlstate ; cpt ++) {  
       k=2+nlstate*(2*cpt-2);    for (j=1; j<=(cptcovn+2*cptcovprod); j++) {
       fprintf(ficgp,"\nset out \"exp%s%d%d.png\" \n\n",strtok(optionfile, "."),cpt,k1);      for (i=1; i<=imx; i++) { /*reads the data file to get the maximum 
       fprintf(ficgp,"set ter png small\nset size 0.65,0.65\nplot [%.f:%.f] \"e%s\" every :::%d::%d u 1:%d t \"e%d1\" w l",ageminpar,fage,fileres,k1-1,k1-1,k,cpt);                                 modality*/ 
       /*fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d-2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);        ij=(int)(covar[Tvar[j]][i]); /* ij is the modality of this individual*/
  for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");        Ndum[ij]++; /*store the modality */
 fprintf(ficgp,"\" t \"e%d1\" w l",cpt);        /*printf("i=%d ij=%d Ndum[ij]=%d imx=%d",i,ij,Ndum[ij],imx);*/
 fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d+2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);        if (ij > cptcode) cptcode=ij; /* getting the maximum of covariable 
  for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");                                         Tvar[j]. If V=sex and male is 0 and 
 fprintf(ficgp,"\" t \"e%d1\" w l",cpt);                                         female is 1, then  cptcode=1.*/
       }
 */  
       for (i=1; i< nlstate ; i ++) {      for (i=0; i<=cptcode; 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);        if(Ndum[i]!=0) ncodemax[j]++; /* Nomber of modalities of the j th covariates. In fact ncodemax[j]=2 (dichotom. variables) but it can be more */
       }
       }  
     }      ij=1; 
   }      for (i=1; i<=ncodemax[j]; i++) {
          for (k=0; k<= maxncov; k++) {
   /* CV preval stat */          if (Ndum[k] != 0) {
     for (k1=1; k1<= m ; k1 ++) {            nbcode[Tvar[j]][ij]=k; 
     for (cpt=1; cpt<nlstate ; cpt ++) {            /* store the modality in an array. k is a modality. If we have model=V1+V1*sex then: nbcode[1][1]=0 ; nbcode[1][2]=1; nbcode[2][1]=0 ; nbcode[2][2]=1; */
       k=3;            
       fprintf(ficgp,"set out \"p%s%d%d.png\" \n\n",strtok(optionfile, "."),cpt,k1);            ij++;
       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/($%d",ageminpar,agemaxpar,fileres,k1,k+cpt+1,k+1);          }
           if (ij > ncodemax[j]) break; 
       for (i=1; i< nlstate ; i ++)        }  
         fprintf(ficgp,"+$%d",k+i+1);      } 
       fprintf(ficgp,")) t\"prev(%d,%d)\" w l",cpt,cpt+1);    }  
        
       l=3+(nlstate+ndeath)*cpt;   for (k=0; k< maxncov; k++) Ndum[k]=0;
       fprintf(ficgp,",\"pij%s\" u ($1==%d ? ($3):1/0):($%d/($%d",fileres,k1,l+cpt+1,l+1);  
       for (i=1; i< nlstate ; i ++) {   for (i=1; i<=ncovmodel-2; i++) { 
         l=3+(nlstate+ndeath)*cpt;     /* Listing of all covariables in staement model to see if some covariates appear twice. For example, V1 appears twice in V1+V1*V2.*/
         fprintf(ficgp,"+$%d",l+i+1);     ij=Tvar[i];
       }     Ndum[ij]++;
       fprintf(ficgp,")) t\"prev(%d,%d)\" w l\n",cpt+1,cpt+1);     }
     }  
   }     ij=1;
     for (i=1; i<= maxncov; i++) {
   /* proba elementaires */     if((Ndum[i]!=0) && (i<=ncovcol)){
    for(i=1,jk=1; i <=nlstate; i++){       Tvaraff[ij]=i; /*For printing */
     for(k=1; k <=(nlstate+ndeath); k++){       ij++;
       if (k != i) {     }
         for(j=1; j <=ncovmodel; j++){   }
           
           fprintf(ficgp,"p%d=%f ",jk,p[jk]);   cptcoveff=ij-1; /*Number of simple covariates*/
           jk++;  }
           fprintf(ficgp,"\n");  
         }  /*********** 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 )
    }  
   {
    for(jk=1; jk <=m; jk++) {    /* Health expectancies */
      fprintf(ficgp,"\nset out \"pe%s%d.png\" \n\n",strtok(optionfile, "."),jk);    int i, j, nhstepm, hstepm, h, nstepm, k, cptj;
      fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65\nset log y\nplot  [%.f:%.f] ",ageminpar,agemaxpar);    double age, agelim, hf;
      i=1;    double ***p3mat,***varhe;
      for(k2=1; k2<=nlstate; k2++) {    double **dnewm,**doldm;
        k3=i;    double *xp;
        for(k=1; k<=(nlstate+ndeath); k++) {    double **gp, **gm;
          if (k != k2){    double ***gradg, ***trgradg;
            fprintf(ficgp," exp(p%d+p%d*x",i,i+1);    int theta;
            ij=1;  
            for(j=3; j <=ncovmodel; j++) {    varhe=ma3x(1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int) fage);
              if(((j-2)==Tage[ij]) &&(ij <=cptcovage)) {    xp=vector(1,npar);
                fprintf(ficgp,"+p%d*%d*x",i+j-1,nbcode[Tvar[j-2]][codtab[jk][Tvar[j-2]]]);    dnewm=matrix(1,nlstate*nlstate,1,npar);
                ij++;    doldm=matrix(1,nlstate*nlstate,1,nlstate*nlstate);
              }    
              else    fprintf(ficreseij,"# Health expectancies\n");
                fprintf(ficgp,"+p%d*%d",i+j-1,nbcode[Tvar[j-2]][codtab[jk][j-2]]);    fprintf(ficreseij,"# Age");
            }    for(i=1; i<=nlstate;i++)
            fprintf(ficgp,")/(1");      for(j=1; j<=nlstate;j++)
                    fprintf(ficreseij," %1d-%1d (SE)",i,j);
            for(k1=1; k1 <=nlstate; k1++){      fprintf(ficreseij,"\n");
              fprintf(ficgp,"+exp(p%d+p%d*x",k3+(k1-1)*ncovmodel,k3+(k1-1)*ncovmodel+1);  
              ij=1;    if(estepm < stepm){
              for(j=3; j <=ncovmodel; j++){      printf ("Problem %d lower than %d\n",estepm, stepm);
                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]]]);    else  hstepm=estepm;   
                  ij++;    /* We compute the life expectancy from trapezoids spaced every estepm months
                }     * This is mainly to measure the difference between two models: for example
                else     * if stepm=24 months pijx are given only every 2 years and by summing them
                  fprintf(ficgp,"+p%d*%d",k3+(k1-1)*ncovmodel+1+j-2,nbcode[Tvar[j-2]][codtab[jk][j-2]]);     * we are calculating an estimate of the Life Expectancy assuming a linear 
              }     * progression in between and thus overestimating or underestimating according
              fprintf(ficgp,")");     * 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
            fprintf(ficgp,") t \"p%d%d\" ", k2,k);     * to compare the new estimate of Life expectancy with the same linear 
            if ((k+k2)!= (nlstate*2+ndeath)) fprintf(ficgp,",");     * hypothesis. A more precise result, taking into account a more precise
            i=i+ncovmodel;     * curvature will be obtained if estepm is as small as stepm. */
          }  
        }    /* 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. 
    }       nhstepm is the number of hstepm from age to agelim 
           nstepm is the number of stepm from age to agelin. 
    fclose(ficgp);       Look at hpijx to understand the reason of that which relies in memory size
 }  /* end gnuplot */       and note for a fixed period like estepm months */
     /* 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
 /*************** Moving average **************/       means that if the survival funtion is printed only each two years of age and if
 void movingaverage(double agedeb, double fage,double ageminpar, double ***mobaverage){       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.
   int i, cpt, cptcod;    */
     for (agedeb=ageminpar; agedeb<=fage; agedeb++)    hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
       for (i=1; i<=nlstate;i++)  
         for (cptcod=1;cptcod<=ncodemax[cptcov];cptcod++)    agelim=AGESUP;
           mobaverage[(int)agedeb][i][cptcod]=0.;    for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
          /* nhstepm age range expressed in number of stepm */
     for (agedeb=ageminpar+4; agedeb<=fage; agedeb++){      nstepm=(int) rint((agelim-age)*YEARM/stepm); 
       for (i=1; i<=nlstate;i++){      /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
         for (cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){      /* if (stepm >= YEARM) hstepm=1;*/
           for (cpt=0;cpt<=4;cpt++){      nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
             mobaverage[(int)agedeb-2][i][cptcod]=mobaverage[(int)agedeb-2][i][cptcod]+probs[(int)agedeb-cpt][i][cptcod];      p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
           }      gradg=ma3x(0,nhstepm,1,npar,1,nlstate*nlstate);
           mobaverage[(int)agedeb-2][i][cptcod]=mobaverage[(int)agedeb-2][i][cptcod]/5;      gp=matrix(0,nhstepm,1,nlstate*nlstate);
         }      gm=matrix(0,nhstepm,1,nlstate*nlstate);
       }  
     }      /* Computed by stepm unit matrices, product of hstepm matrices, stored
             in an array of nhstepm length: nhstepm=10, hstepm=4, stepm=6 months */
 }      hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm, savm, ij);  
    
   
 /************** Forecasting ******************/      hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
 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){  
        /* Computing  Variances of health expectancies */
   int cpt, stepsize, hstepm, nhstepm, j,k,c, cptcod, i,h;  
   int *popage;       for(theta=1; theta <=npar; theta++){
   double calagedate, agelim, kk1, kk2, yp,yp1,yp2,jprojmean,mprojmean,anprojmean;        for(i=1; i<=npar; i++){ 
   double *popeffectif,*popcount;          xp[i] = x[i] + (i==theta ?delti[theta]:0);
   double ***p3mat;        }
   char fileresf[FILENAMELENGTH];        hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);  
     
  agelim=AGESUP;        cptj=0;
 calagedate=(anproj1+mproj1/12.+jproj1/365.-dateintmean)*YEARM;        for(j=1; j<= nlstate; j++){
           for(i=1; i<=nlstate; i++){
   prevalence(ageminpar, agemax, s, agev, nlstate, imx,Tvar,nbcode, ncodemax,mint,anint,dateprev1,dateprev2, calagedate);            cptj=cptj+1;
              for(h=0, gp[h][cptj]=0.; h<=nhstepm-1; h++){
                gp[h][cptj] = (p3mat[i][j][h]+p3mat[i][j][h+1])/2.;
   strcpy(fileresf,"f");            }
   strcat(fileresf,fileres);          }
   if((ficresf=fopen(fileresf,"w"))==NULL) {        }
     printf("Problem with forecast resultfile: %s\n", fileresf);       
   }       
   printf("Computing forecasting: result on file '%s' \n", fileresf);        for(i=1; i<=npar; i++) 
           xp[i] = x[i] - (i==theta ?delti[theta]:0);
   if (cptcoveff==0) ncodemax[cptcoveff]=1;        hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);  
         
   if (mobilav==1) {        cptj=0;
     mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);        for(j=1; j<= nlstate; j++){
     movingaverage(agedeb, fage, ageminpar, mobaverage);          for(i=1;i<=nlstate;i++){
   }            cptj=cptj+1;
             for(h=0, gm[h][cptj]=0.; h<=nhstepm-1; h++){
   stepsize=(int) (stepm+YEARM-1)/YEARM;  
   if (stepm<=12) stepsize=1;              gm[h][cptj] = (p3mat[i][j][h]+p3mat[i][j][h+1])/2.;
              }
   agelim=AGESUP;          }
          }
   hstepm=1;        for(j=1; j<= nlstate*nlstate; j++)
   hstepm=hstepm/stepm;          for(h=0; h<=nhstepm-1; h++){
   yp1=modf(dateintmean,&yp);            gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta];
   anprojmean=yp;          }
   yp2=modf((yp1*12),&yp);       } 
   mprojmean=yp;     
   yp1=modf((yp2*30.5),&yp);  /* End theta */
   jprojmean=yp;  
   if(jprojmean==0) jprojmean=1;       trgradg =ma3x(0,nhstepm,1,nlstate*nlstate,1,npar);
   if(mprojmean==0) jprojmean=1;  
         for(h=0; h<=nhstepm-1; h++)
   fprintf(ficresf,"# Estimated date of observed prevalence: %.lf/%.lf/%.lf ",jprojmean,mprojmean,anprojmean);        for(j=1; j<=nlstate*nlstate;j++)
            for(theta=1; theta <=npar; theta++)
   for(cptcov=1;cptcov<=i2;cptcov++){            trgradg[h][j][theta]=gradg[h][theta][j];
     for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){       
       k=k+1;  
       fprintf(ficresf,"\n#******");       for(i=1;i<=nlstate*nlstate;i++)
       for(j=1;j<=cptcoveff;j++) {        for(j=1;j<=nlstate*nlstate;j++)
         fprintf(ficresf," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);          varhe[i][j][(int)age] =0.;
       }  
       fprintf(ficresf,"******\n");       printf("%d|",(int)age);fflush(stdout);
       fprintf(ficresf,"# StartingAge FinalAge");       fprintf(ficlog,"%d|",(int)age);fflush(ficlog);
       for(j=1; j<=nlstate+ndeath;j++) fprintf(ficresf," P.%d",j);       for(h=0;h<=nhstepm-1;h++){
              for(k=0;k<=nhstepm-1;k++){
                matprod2(dnewm,trgradg[h],1,nlstate*nlstate,1,npar,1,npar,matcov);
       for (cpt=0; cpt<=(anproj2-anproj1);cpt++) {          matprod2(doldm,dnewm,1,nlstate*nlstate,1,npar,1,nlstate*nlstate,gradg[k]);
         fprintf(ficresf,"\n");          for(i=1;i<=nlstate*nlstate;i++)
         fprintf(ficresf,"\n# Forecasting at date %.lf/%.lf/%.lf ",jproj1,mproj1,anproj1+cpt);              for(j=1;j<=nlstate*nlstate;j++)
               varhe[i][j][(int)age] += doldm[i][j]*hf*hf;
         for (agedeb=(fage-((int)calagedate %12/12.)); agedeb>=(ageminpar-((int)calagedate %12)/12.); agedeb--){        }
           nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm);      }
           nhstepm = nhstepm/hstepm;      /* Computing expectancies */
                for(i=1; i<=nlstate;i++)
           p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);        for(j=1; j<=nlstate;j++)
           oldm=oldms;savm=savms;          for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){
           hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);              eij[i][j][(int)age] += (p3mat[i][j][h]+p3mat[i][j][h+1])/2.0*hf;
                    
           for (h=0; h<=nhstepm; h++){  /* 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 (h==(int) (calagedate+YEARM*cpt)) {  
               fprintf(ficresf,"\n %.f %.f ",anproj1+cpt,agedeb+h*hstepm/YEARM*stepm);          }
             }  
             for(j=1; j<=nlstate+ndeath;j++) {      fprintf(ficreseij,"%3.0f",age );
               kk1=0.;kk2=0;      cptj=0;
               for(i=1; i<=nlstate;i++) {                    for(i=1; i<=nlstate;i++)
                 if (mobilav==1)        for(j=1; j<=nlstate;j++){
                   kk1=kk1+p3mat[i][j][h]*mobaverage[(int)agedeb+1][i][cptcod];          cptj++;
                 else {          fprintf(ficreseij," %9.4f (%.4f)", eij[i][j][(int)age], sqrt(varhe[cptj][cptj][(int)age]) );
                   kk1=kk1+p3mat[i][j][h]*probs[(int)(agedeb+1)][i][cptcod];        }
                 }      fprintf(ficreseij,"\n");
                     
               }      free_matrix(gm,0,nhstepm,1,nlstate*nlstate);
               if (h==(int)(calagedate+12*cpt)){      free_matrix(gp,0,nhstepm,1,nlstate*nlstate);
                 fprintf(ficresf," %.3f", kk1);      free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate*nlstate);
                              free_ma3x(trgradg,0,nhstepm,1,nlstate*nlstate,1,npar);
               }      free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
             }    }
           }    printf("\n");
           free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);    fprintf(ficlog,"\n");
         }  
       }    free_vector(xp,1,npar);
     }    free_matrix(dnewm,1,nlstate*nlstate,1,npar);
   }    free_matrix(doldm,1,nlstate*nlstate,1,nlstate*nlstate);
            free_ma3x(varhe,1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int)fage);
   if (mobilav==1) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);  }
   
   fclose(ficresf);  /************ 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)
 /************** 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){    /* Variance of health expectancies */
      /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);*/
   int cpt, stepsize, hstepm, nhstepm, j,k,c, cptcod, i,h;    /* double **newm;*/
   int *popage;    double **dnewm,**doldm;
   double calagedate, agelim, kk1, kk2, yp,yp1,yp2,jprojmean,mprojmean,anprojmean;    double **dnewmp,**doldmp;
   double *popeffectif,*popcount;    int i, j, nhstepm, hstepm, h, nstepm ;
   double ***p3mat,***tabpop,***tabpopprev;    int k, cptcode;
   char filerespop[FILENAMELENGTH];    double *xp;
     double **gp, **gm;  /* for var eij */
   tabpop= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);    double ***gradg, ***trgradg; /*for var eij */
   tabpopprev= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);    double **gradgp, **trgradgp; /* for var p point j */
   agelim=AGESUP;    double *gpp, *gmp; /* for var p point j */
   calagedate=(anpyram+mpyram/12.+jpyram/365.-dateintmean)*YEARM;    double **varppt; /* for var p point j nlstate to nlstate+ndeath */
      double ***p3mat;
   prevalence(ageminpar, agemax, s, agev, nlstate, imx,Tvar,nbcode, ncodemax,mint,anint,dateprev1,dateprev2, calagedate);    double age,agelim, hf;
      double ***mobaverage;
      int theta;
   strcpy(filerespop,"pop");    char digit[4];
   strcat(filerespop,fileres);    char digitp[25];
   if((ficrespop=fopen(filerespop,"w"))==NULL) {  
     printf("Problem with forecast resultfile: %s\n", filerespop);    char fileresprobmorprev[FILENAMELENGTH];
   }  
   printf("Computing forecasting: result on file '%s' \n", filerespop);    if(popbased==1){
       if(mobilav!=0)
   if (cptcoveff==0) ncodemax[cptcoveff]=1;        strcpy(digitp,"-populbased-mobilav-");
       else strcpy(digitp,"-populbased-nomobil-");
   if (mobilav==1) {    }
     mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);    else 
     movingaverage(agedeb, fage, ageminpar, mobaverage);      strcpy(digitp,"-stablbased-");
   }  
     if (mobilav!=0) {
   stepsize=(int) (stepm+YEARM-1)/YEARM;      mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
   if (stepm<=12) stepsize=1;      if (movingaverage(probs, bage, fage, mobaverage,mobilav)!=0){
          fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
   agelim=AGESUP;        printf(" Error in movingaverage mobilav=%d\n",mobilav);
        }
   hstepm=1;    }
   hstepm=hstepm/stepm;  
      strcpy(fileresprobmorprev,"prmorprev"); 
   if (popforecast==1) {    sprintf(digit,"%-d",ij);
     if((ficpop=fopen(popfile,"r"))==NULL) {    /*printf("DIGIT=%s, ij=%d ijr=%-d|\n",digit, ij,ij);*/
       printf("Problem with population file : %s\n",popfile);exit(0);    strcat(fileresprobmorprev,digit); /* Tvar to be done */
     }    strcat(fileresprobmorprev,digitp); /* Popbased or not, mobilav or not */
     popage=ivector(0,AGESUP);    strcat(fileresprobmorprev,fileres);
     popeffectif=vector(0,AGESUP);    if((ficresprobmorprev=fopen(fileresprobmorprev,"w"))==NULL) {
     popcount=vector(0,AGESUP);      printf("Problem with resultfile: %s\n", fileresprobmorprev);
          fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobmorprev);
     i=1;      }
     while ((c=fscanf(ficpop,"%d %lf\n",&popage[i],&popcount[i])) != EOF) i=i+1;    printf("Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
        fprintf(ficlog,"Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
     imx=i;    fprintf(ficresprobmorprev,"# probabilities of dying before estepm=%d months for people of exact age and weighted probabilities w1*p1j+w2*p2j+... stand dev in()\n",estepm);
     for (i=1; i<imx;i++) popeffectif[popage[i]]=popcount[i];    fprintf(ficresprobmorprev,"# Age cov=%-d",ij);
   }    for(j=nlstate+1; j<=(nlstate+ndeath);j++){
       fprintf(ficresprobmorprev," p.%-d SE",j);
   for(cptcov=1;cptcov<=i2;cptcov++){      for(i=1; i<=nlstate;i++)
    for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){        fprintf(ficresprobmorprev," w%1d p%-d%-d",i,i,j);
       k=k+1;    }  
       fprintf(ficrespop,"\n#******");    fprintf(ficresprobmorprev,"\n");
       for(j=1;j<=cptcoveff;j++) {    fprintf(ficgp,"\n# Routine varevsij");
         fprintf(ficrespop," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);    fprintf(fichtm,"\n<li><h4> Computing probabilities of dying over estepm months as a weighted average (i.e global mortality independent of initial healh state)</h4></li>\n");
       }    fprintf(fichtm,"\n<br>%s  <br>\n",digitp);
       fprintf(ficrespop,"******\n");  /*   } */
       fprintf(ficrespop,"# Age");    varppt = matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
       for(j=1; j<=nlstate+ndeath;j++) fprintf(ficrespop," P.%d",j);  
       if (popforecast==1)  fprintf(ficrespop," [Population]");    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");
       for (cpt=0; cpt<=0;cpt++) {    for(i=1; i<=nlstate;i++)
         fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);        for(j=1; j<=nlstate;j++)
                fprintf(ficresvij," Cov(e%1d, e%1d)",i,j);
         for (agedeb=(fage-((int)calagedate %12/12.)); agedeb>=(ageminpar-((int)calagedate %12)/12.); agedeb--){    fprintf(ficresvij,"\n");
           nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm);  
           nhstepm = nhstepm/hstepm;    xp=vector(1,npar);
              dnewm=matrix(1,nlstate,1,npar);
           p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);    doldm=matrix(1,nlstate,1,nlstate);
           oldm=oldms;savm=savms;    dnewmp= matrix(nlstate+1,nlstate+ndeath,1,npar);
           hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);      doldmp= matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
          
           for (h=0; h<=nhstepm; h++){    gradgp=matrix(1,npar,nlstate+1,nlstate+ndeath);
             if (h==(int) (calagedate+YEARM*cpt)) {    gpp=vector(nlstate+1,nlstate+ndeath);
               fprintf(ficrespop,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm);    gmp=vector(nlstate+1,nlstate+ndeath);
             }    trgradgp =matrix(nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
             for(j=1; j<=nlstate+ndeath;j++) {    
               kk1=0.;kk2=0;    if(estepm < stepm){
               for(i=1; i<=nlstate;i++) {                    printf ("Problem %d lower than %d\n",estepm, stepm);
                 if (mobilav==1)    }
                   kk1=kk1+p3mat[i][j][h]*mobaverage[(int)agedeb+1][i][cptcod];    else  hstepm=estepm;   
                 else {    /* For example we decided to compute the life expectancy with the smallest unit */
                   kk1=kk1+p3mat[i][j][h]*probs[(int)(agedeb+1)][i][cptcod];    /* 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. 
               if (h==(int)(calagedate+12*cpt)){       Look at hpijx to understand the reason of that which relies in memory size
                 tabpop[(int)(agedeb)][j][cptcod]=kk1;       and note for a fixed period like k years */
                   /*fprintf(ficrespop," %.3f", kk1);    /* We decided (b) to get a life expectancy respecting the most precise curvature of the
                     if (popforecast==1) fprintf(ficrespop," [%.f]", kk1*popeffectif[(int)agedeb+1]);*/       survival function given by stepm (the optimization length). Unfortunately it
               }       means that if the survival funtion is printed every two years of age and if
             }       you sum them up and add 1 year (area under the trapezoids) you won't get the same 
             for(i=1; i<=nlstate;i++){       results. So we changed our mind and took the option of the best precision.
               kk1=0.;    */
                 for(j=1; j<=nlstate;j++){    hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
                   kk1= kk1+tabpop[(int)(agedeb)][j][cptcod];    agelim = AGESUP;
                 }    for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
                   tabpopprev[(int)(agedeb)][i][cptcod]=tabpop[(int)(agedeb)][i][cptcod]/kk1*popeffectif[(int)(agedeb+(calagedate+12*cpt)*hstepm/YEARM*stepm-1)];      nstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
             }      nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
       p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
             if (h==(int)(calagedate+12*cpt)) for(j=1; j<=nlstate;j++)      gradg=ma3x(0,nhstepm,1,npar,1,nlstate);
               fprintf(ficrespop," %15.2f",tabpopprev[(int)(agedeb+1)][j][cptcod]);      gp=matrix(0,nhstepm,1,nlstate);
           }      gm=matrix(0,nhstepm,1,nlstate);
           free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);  
         }  
       }      for(theta=1; theta <=npar; theta++){
          for(i=1; i<=npar; i++){ /* Computes gradient x + delta*/
   /******/          xp[i] = x[i] + (i==theta ?delti[theta]:0);
         }
       for (cpt=1; cpt<=(anpyram1-anpyram);cpt++) {        hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);  
         fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);          prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);
         for (agedeb=(fage-((int)calagedate %12/12.)); agedeb>=(ageminpar-((int)calagedate %12)/12.); agedeb--){  
           nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm);        if (popbased==1) {
           nhstepm = nhstepm/hstepm;          if(mobilav ==0){
                      for(i=1; i<=nlstate;i++)
           p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);              prlim[i][i]=probs[(int)age][i][ij];
           oldm=oldms;savm=savms;          }else{ /* mobilav */ 
           hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);              for(i=1; i<=nlstate;i++)
           for (h=0; h<=nhstepm; h++){              prlim[i][i]=mobaverage[(int)age][i][ij];
             if (h==(int) (calagedate+YEARM*cpt)) {          }
               fprintf(ficresf,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm);        }
             }    
             for(j=1; j<=nlstate+ndeath;j++) {        for(j=1; j<= nlstate; j++){
               kk1=0.;kk2=0;          for(h=0; h<=nhstepm; h++){
               for(i=1; i<=nlstate;i++) {                          for(i=1, gp[h][j]=0.;i<=nlstate;i++)
                 kk1=kk1+p3mat[i][j][h]*tabpopprev[(int)agedeb+1][i][cptcod];                  gp[h][j] += prlim[i][i]*p3mat[i][j][h];
               }          }
               if (h==(int)(calagedate+12*cpt)) fprintf(ficresf," %15.2f", kk1);        }
             }        /* This for computing probability of death (h=1 means
           }           computed over hstepm matrices product = hstepm*stepm months) 
           free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);           as a weighted average of prlim.
         }        */
       }        for(j=nlstate+1;j<=nlstate+ndeath;j++){
    }          for(i=1,gpp[j]=0.; i<= nlstate; i++)
   }            gpp[j] += prlim[i][i]*p3mat[i][j][1];
          }    
   if (mobilav==1) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);        /* end probability of death */
   
   if (popforecast==1) {        for(i=1; i<=npar; i++) /* Computes gradient x - delta */
     free_ivector(popage,0,AGESUP);          xp[i] = x[i] - (i==theta ?delti[theta]:0);
     free_vector(popeffectif,0,AGESUP);        hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);  
     free_vector(popcount,0,AGESUP);        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);
   }   
   free_ma3x(tabpop,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);        if (popbased==1) {
   free_ma3x(tabpopprev,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);          if(mobilav ==0){
   fclose(ficrespop);            for(i=1; i<=nlstate;i++)
 }              prlim[i][i]=probs[(int)age][i][ij];
           }else{ /* mobilav */ 
 /***********************************************/            for(i=1; i<=nlstate;i++)
 /**************** Main Program *****************/              prlim[i][i]=mobaverage[(int)age][i][ij];
 /***********************************************/          }
         }
 int main(int argc, char *argv[])  
 {        for(j=1; j<= nlstate; j++){
           for(h=0; h<=nhstepm; h++){
   int i,j, k, n=MAXN,iter,m,size,cptcode, cptcod;            for(i=1, gm[h][j]=0.;i<=nlstate;i++)
   double agedeb, agefin,hf;              gm[h][j] += prlim[i][i]*p3mat[i][j][h];
   double ageminpar=1.e20,agemin=1.e20, agemaxpar=-1.e20, agemax=-1.e20;          }
         }
   double fret;        /* This for computing probability of death (h=1 means
   double **xi,tmp,delta;           computed over hstepm matrices product = hstepm*stepm months) 
            as a weighted average of prlim.
   double dum; /* Dummy variable */        */
   double ***p3mat;        for(j=nlstate+1;j<=nlstate+ndeath;j++){
   int *indx;          for(i=1,gmp[j]=0.; i<= nlstate; i++)
   char line[MAXLINE], linepar[MAXLINE];           gmp[j] += prlim[i][i]*p3mat[i][j][1];
   char title[MAXLINE];        }    
   char optionfile[FILENAMELENGTH], datafile[FILENAMELENGTH],  filerespl[FILENAMELENGTH];        /* end probability of death */
   char optionfilext[10], optionfilefiname[FILENAMELENGTH], optionfilehtm[FILENAMELENGTH], optionfilegnuplot[FILENAMELENGTH], plotcmd[FILENAMELENGTH];  
          for(j=1; j<= nlstate; j++) /* vareij */
   char fileres[FILENAMELENGTH], filerespij[FILENAMELENGTH], filereso[FILENAMELENGTH], rfileres[FILENAMELENGTH];          for(h=0; h<=nhstepm; h++){
             gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta];
   char filerest[FILENAMELENGTH];          }
   char fileregp[FILENAMELENGTH];  
   char popfile[FILENAMELENGTH];        for(j=nlstate+1; j<= nlstate+ndeath; j++){ /* var mu */
   char path[80],pathc[80],pathcd[80],pathtot[80],model[20];          gradgp[theta][j]= (gpp[j]-gmp[j])/2./delti[theta];
   int firstobs=1, lastobs=10;        }
   int sdeb, sfin; /* Status at beginning and end */  
   int c,  h , cpt,l;      } /* End theta */
   int ju,jl, mi;  
   int i1,j1, k1,k2,k3,jk,aa,bb, stepsize, ij;      trgradg =ma3x(0,nhstepm,1,nlstate,1,npar); /* veij */
   int jnais,jdc,jint4,jint1,jint2,jint3,**outcome,**adl,*tab;  
   int mobilav=0,popforecast=0;      for(h=0; h<=nhstepm; h++) /* veij */
   int hstepm, nhstepm;        for(j=1; j<=nlstate;j++)
   double jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,jpyram, mpyram,anpyram,jpyram1, mpyram1,anpyram1, calagedate;          for(theta=1; theta <=npar; theta++)
             trgradg[h][j][theta]=gradg[h][theta][j];
   double bage, fage, age, agelim, agebase;  
   double ftolpl=FTOL;      for(j=nlstate+1; j<=nlstate+ndeath;j++) /* mu */
   double **prlim;        for(theta=1; theta <=npar; theta++)
   double *severity;          trgradgp[j][theta]=gradgp[theta][j];
   double ***param; /* Matrix of parameters */    
   double  *p;  
   double **matcov; /* Matrix of covariance */      hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
   double ***delti3; /* Scale */      for(i=1;i<=nlstate;i++)
   double *delti; /* Scale */        for(j=1;j<=nlstate;j++)
   double ***eij, ***vareij;          vareij[i][j][(int)age] =0.;
   double **varpl; /* Variances of prevalence limits by age */  
   double *epj, vepp;      for(h=0;h<=nhstepm;h++){
   double kk1, kk2;        for(k=0;k<=nhstepm;k++){
   double dateprev1, dateprev2,jproj1,mproj1,anproj1,jproj2,mproj2,anproj2;          matprod2(dnewm,trgradg[h],1,nlstate,1,npar,1,npar,matcov);
            matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg[k]);
           for(i=1;i<=nlstate;i++)
   char version[80]="Imach version 0.8d, May 2002, INED-EUROREVES ";            for(j=1;j<=nlstate;j++)
   char *alph[]={"a","a","b","c","d","e"}, str[4];              vareij[i][j][(int)age] += doldm[i][j]*hf*hf;
         }
       }
   char z[1]="c", occ;    
 #include <sys/time.h>      /* pptj */
 #include <time.h>      matprod2(dnewmp,trgradgp,nlstate+1,nlstate+ndeath,1,npar,1,npar,matcov);
   char stra[80], strb[80], strc[80], strd[80],stre[80],modelsav[80];      matprod2(doldmp,dnewmp,nlstate+1,nlstate+ndeath,1,npar,nlstate+1,nlstate+ndeath,gradgp);
        for(j=nlstate+1;j<=nlstate+ndeath;j++)
   /* long total_usecs;        for(i=nlstate+1;i<=nlstate+ndeath;i++)
   struct timeval start_time, end_time;          varppt[j][i]=doldmp[j][i];
        /* end ppptj */
   gettimeofday(&start_time, (struct timezone*)0); */ /* at first time */      /*  x centered again */
   getcwd(pathcd, size);      hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm,savm, ij);  
       prevalim(prlim,nlstate,x,age,oldm,savm,ftolpl,ij);
   printf("\n%s",version);   
   if(argc <=1){      if (popbased==1) {
     printf("\nEnter the parameter file name: ");        if(mobilav ==0){
     scanf("%s",pathtot);          for(i=1; i<=nlstate;i++)
   }            prlim[i][i]=probs[(int)age][i][ij];
   else{        }else{ /* mobilav */ 
     strcpy(pathtot,argv[1]);          for(i=1; i<=nlstate;i++)
   }            prlim[i][i]=mobaverage[(int)age][i][ij];
   /*if(getcwd(pathcd, 80)!= NULL)printf ("Error pathcd\n");*/        }
   /*cygwin_split_path(pathtot,path,optionfile);      }
     printf("pathtot=%s, path=%s, optionfile=%s\n",pathtot,path,optionfile);*/               
   /* cutv(path,optionfile,pathtot,'\\');*/      /* This for computing probability of death (h=1 means
          computed over hstepm (estepm) matrices product = hstepm*stepm months) 
   split(pathtot,path,optionfile,optionfilext,optionfilefiname);         as a weighted average of prlim.
    printf("pathtot=%s, path=%s, optionfile=%s optionfilext=%s optionfilefiname=%s\n",pathtot,path,optionfile,optionfilext,optionfilefiname);      */
   chdir(path);      for(j=nlstate+1;j<=nlstate+ndeath;j++){
   replace(pathc,path);        for(i=1,gmp[j]=0.;i<= nlstate; i++) 
           gmp[j] += prlim[i][i]*p3mat[i][j][1]; 
 /*-------- arguments in the command line --------*/      }    
       /* end probability of death */
   strcpy(fileres,"r");  
   strcat(fileres, optionfilefiname);      fprintf(ficresprobmorprev,"%3d %d ",(int) age, ij);
   strcat(fileres,".txt");    /* Other files have txt extension */      for(j=nlstate+1; j<=(nlstate+ndeath);j++){
         fprintf(ficresprobmorprev," %11.3e %11.3e",gmp[j], sqrt(varppt[j][j]));
   /*---------arguments file --------*/        for(i=1; i<=nlstate;i++){
           fprintf(ficresprobmorprev," %11.3e %11.3e ",prlim[i][i],p3mat[i][j][1]);
   if((ficpar=fopen(optionfile,"r"))==NULL)    {        }
     printf("Problem with optionfile %s\n",optionfile);      } 
     goto end;      fprintf(ficresprobmorprev,"\n");
   }  
       fprintf(ficresvij,"%.0f ",age );
   strcpy(filereso,"o");      for(i=1; i<=nlstate;i++)
   strcat(filereso,fileres);        for(j=1; j<=nlstate;j++){
   if((ficparo=fopen(filereso,"w"))==NULL) {          fprintf(ficresvij," %.4f", vareij[i][j][(int)age]);
     printf("Problem with Output resultfile: %s\n", filereso);goto end;        }
   }      fprintf(ficresvij,"\n");
       free_matrix(gp,0,nhstepm,1,nlstate);
   /* Reads comments: lines beginning with '#' */      free_matrix(gm,0,nhstepm,1,nlstate);
   while((c=getc(ficpar))=='#' && c!= EOF){      free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate);
     ungetc(c,ficpar);      free_ma3x(trgradg,0,nhstepm,1,nlstate,1,npar);
     fgets(line, MAXLINE, ficpar);      free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
     puts(line);    } /* End age */
     fputs(line,ficparo);    free_vector(gpp,nlstate+1,nlstate+ndeath);
   }    free_vector(gmp,nlstate+1,nlstate+ndeath);
   ungetc(c,ficpar);    free_matrix(gradgp,1,npar,nlstate+1,nlstate+ndeath);
     free_matrix(trgradgp,nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
   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\nmodel=%s\n",title, datafile, &lastobs, &firstpass,&lastpass,&ftol, &stepm, &ncovcol, &nlstate,&ndeath, &maxwav, &mle, &weightopt,model);    fprintf(ficgp,"\nset noparametric;set nolabel; set ter png small;set size 0.65, 0.65");
   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);    /* for(j=nlstate+1; j<= nlstate+ndeath; j++){ *//* Only the first actually */
   fprintf(ficparo,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\nmodel=%s\n", title, datafile, lastobs, firstpass,lastpass,ftol,stepm,ncovcol,nlstate,ndeath,maxwav, mle, weightopt,model);    fprintf(ficgp,"\n set log y; set nolog x;set xlabel \"Age\"; set ylabel \"Force of mortality (year-1)\";");
 while((c=getc(ficpar))=='#' && c!= EOF){  /*   fprintf(ficgp,"\n plot \"%s\"  u 1:($3*%6.3f) not w l 1 ",fileresprobmorprev,YEARM/estepm); */
     ungetc(c,ficpar);  /*   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)*%6.3f) t \"95\%% interval\" w l 2 ",fileresprobmorprev,YEARM/estepm); */
     fgets(line, MAXLINE, ficpar);  /*   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)*%6.3f) not w l 2 ",fileresprobmorprev,YEARM/estepm); */
     puts(line);    fprintf(ficgp,"\n plot \"%s\"  u 1:($3) not w l 1 ",subdirf(fileresprobmorprev));
     fputs(line,ficparo);    fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)) t \"95\%% interval\" w l 2 ",subdirf(fileresprobmorprev));
   }    fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)) not w l 2 ",subdirf(fileresprobmorprev));
   ungetc(c,ficpar);    fprintf(fichtm,"\n<br> File (multiple files are possible if covariates are present): <A href=\"%s\">%s</a>\n",subdirf(fileresprobmorprev),subdirf(fileresprobmorprev));
      fprintf(fichtm,"\n<br> Probability is computed over estepm=%d months. <br> <img src=\"%s%s.png\"> <br>\n", estepm,subdirf3(optionfilefiname,"varmuptjgr",digitp),digit);
        /*  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);
   covar=matrix(0,NCOVMAX,1,n);  */
   cptcovn=0;  /*   fprintf(ficgp,"\nset out \"varmuptjgr%s%s%s.png\";replot;",digitp,optionfilefiname,digit); */
   if (strlen(model)>1) cptcovn=nbocc(model,'+')+1;    fprintf(ficgp,"\nset out \"%s%s.png\";replot;\n",subdirf3(optionfilefiname,"varmuptjgr",digitp),digit);
   
   ncovmodel=2+cptcovn;    free_vector(xp,1,npar);
   nvar=ncovmodel-1; /* Suppressing age as a basic covariate */    free_matrix(doldm,1,nlstate,1,nlstate);
      free_matrix(dnewm,1,nlstate,1,npar);
   /* Read guess parameters */    free_matrix(doldmp,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
   /* Reads comments: lines beginning with '#' */    free_matrix(dnewmp,nlstate+1,nlstate+ndeath,1,npar);
   while((c=getc(ficpar))=='#' && c!= EOF){    free_matrix(varppt,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
     ungetc(c,ficpar);    if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
     fgets(line, MAXLINE, ficpar);    fclose(ficresprobmorprev);
     puts(line);    fflush(ficgp);
     fputs(line,ficparo);    fflush(fichtm); 
   }  }  /* end varevsij */
   ungetc(c,ficpar);  
    /************ Variance of prevlim ******************/
   param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);  void varprevlim(char fileres[], double **varpl, double **matcov, double x[], double delti[], int nlstate, int stepm, double bage, double fage, double **oldm, double **savm, double **prlim, double ftolpl, int ij)
     for(i=1; i <=nlstate; i++)  {
     for(j=1; j <=nlstate+ndeath-1; j++){    /* Variance of prevalence limit */
       fscanf(ficpar,"%1d%1d",&i1,&j1);    /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double **savm,double ftolpl);*/
       fprintf(ficparo,"%1d%1d",i1,j1);    double **newm;
       printf("%1d%1d",i,j);    double **dnewm,**doldm;
       for(k=1; k<=ncovmodel;k++){    int i, j, nhstepm, hstepm;
         fscanf(ficpar," %lf",&param[i][j][k]);    int k, cptcode;
         printf(" %lf",param[i][j][k]);    double *xp;
         fprintf(ficparo," %lf",param[i][j][k]);    double *gp, *gm;
       }    double **gradg, **trgradg;
       fscanf(ficpar,"\n");    double age,agelim;
       printf("\n");    int theta;
       fprintf(ficparo,"\n");     
     }    fprintf(ficresvpl,"# Standard deviation of stable prevalences \n");
      fprintf(ficresvpl,"# Age");
     npar= (nlstate+ndeath-1)*nlstate*ncovmodel;    for(i=1; i<=nlstate;i++)
         fprintf(ficresvpl," %1d-%1d",i,i);
   p=param[1][1];    fprintf(ficresvpl,"\n");
    
   /* Reads comments: lines beginning with '#' */    xp=vector(1,npar);
   while((c=getc(ficpar))=='#' && c!= EOF){    dnewm=matrix(1,nlstate,1,npar);
     ungetc(c,ficpar);    doldm=matrix(1,nlstate,1,nlstate);
     fgets(line, MAXLINE, ficpar);    
     puts(line);    hstepm=1*YEARM; /* Every year of age */
     fputs(line,ficparo);    hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */ 
   }    agelim = AGESUP;
   ungetc(c,ficpar);    for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
       nhstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
   delti3= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);      if (stepm >= YEARM) hstepm=1;
   delti=vector(1,npar); /* Scale of each paramater (output from hesscov) */      nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
   for(i=1; i <=nlstate; i++){      gradg=matrix(1,npar,1,nlstate);
     for(j=1; j <=nlstate+ndeath-1; j++){      gp=vector(1,nlstate);
       fscanf(ficpar,"%1d%1d",&i1,&j1);      gm=vector(1,nlstate);
       printf("%1d%1d",i,j);  
       fprintf(ficparo,"%1d%1d",i1,j1);      for(theta=1; theta <=npar; theta++){
       for(k=1; k<=ncovmodel;k++){        for(i=1; i<=npar; i++){ /* Computes gradient */
         fscanf(ficpar,"%le",&delti3[i][j][k]);          xp[i] = x[i] + (i==theta ?delti[theta]:0);
         printf(" %le",delti3[i][j][k]);        }
         fprintf(ficparo," %le",delti3[i][j][k]);        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);
       }        for(i=1;i<=nlstate;i++)
       fscanf(ficpar,"\n");          gp[i] = prlim[i][i];
       printf("\n");      
       fprintf(ficparo,"\n");        for(i=1; i<=npar; i++) /* Computes gradient */
     }          xp[i] = x[i] - (i==theta ?delti[theta]:0);
   }        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);
   delti=delti3[1][1];        for(i=1;i<=nlstate;i++)
            gm[i] = prlim[i][i];
   /* Reads comments: lines beginning with '#' */  
   while((c=getc(ficpar))=='#' && c!= EOF){        for(i=1;i<=nlstate;i++)
     ungetc(c,ficpar);          gradg[theta][i]= (gp[i]-gm[i])/2./delti[theta];
     fgets(line, MAXLINE, ficpar);      } /* End theta */
     puts(line);  
     fputs(line,ficparo);      trgradg =matrix(1,nlstate,1,npar);
   }  
   ungetc(c,ficpar);      for(j=1; j<=nlstate;j++)
          for(theta=1; theta <=npar; theta++)
   matcov=matrix(1,npar,1,npar);          trgradg[j][theta]=gradg[theta][j];
   for(i=1; i <=npar; i++){  
     fscanf(ficpar,"%s",&str);      for(i=1;i<=nlstate;i++)
     printf("%s",str);        varpl[i][(int)age] =0.;
     fprintf(ficparo,"%s",str);      matprod2(dnewm,trgradg,1,nlstate,1,npar,1,npar,matcov);
     for(j=1; j <=i; j++){      matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg);
       fscanf(ficpar," %le",&matcov[i][j]);      for(i=1;i<=nlstate;i++)
       printf(" %.5le",matcov[i][j]);        varpl[i][(int)age] = doldm[i][i]; /* Covariances are useless */
       fprintf(ficparo," %.5le",matcov[i][j]);  
     }      fprintf(ficresvpl,"%.0f ",age );
     fscanf(ficpar,"\n");      for(i=1; i<=nlstate;i++)
     printf("\n");        fprintf(ficresvpl," %.5f (%.5f)",prlim[i][i],sqrt(varpl[i][(int)age]));
     fprintf(ficparo,"\n");      fprintf(ficresvpl,"\n");
   }      free_vector(gp,1,nlstate);
   for(i=1; i <=npar; i++)      free_vector(gm,1,nlstate);
     for(j=i+1;j<=npar;j++)      free_matrix(gradg,1,npar,1,nlstate);
       matcov[i][j]=matcov[j][i];      free_matrix(trgradg,1,nlstate,1,npar);
        } /* End age */
   printf("\n");  
     free_vector(xp,1,npar);
     free_matrix(doldm,1,nlstate,1,npar);
     /*-------- Rewriting paramater file ----------*/    free_matrix(dnewm,1,nlstate,1,nlstate);
      strcpy(rfileres,"r");    /* "Rparameterfile */  
      strcat(rfileres,optionfilefiname);    /* Parameter file first name*/  }
      strcat(rfileres,".");    /* */  
      strcat(rfileres,optionfilext);    /* Other files have txt extension */  /************ Variance of one-step probabilities  ******************/
     if((ficres =fopen(rfileres,"w"))==NULL) {  void varprob(char optionfilefiname[], double **matcov, double x[], double delti[], int nlstate, double bage, double fage, int ij, int *Tvar, int **nbcode, int *ncodemax)
       printf("Problem writing new parameter file: %s\n", fileres);goto end;  {
     }    int i, j=0,  i1, k1, l1, t, tj;
     fprintf(ficres,"#%s\n",version);    int k2, l2, j1,  z1;
        int k=0,l, cptcode;
     /*-------- data file ----------*/    int first=1, first1;
     if((fic=fopen(datafile,"r"))==NULL)    {    double cv12, mu1, mu2, lc1, lc2, v12, v21, v11, v22,v1,v2, c12, tnalp;
       printf("Problem with datafile: %s\n", datafile);goto end;    double **dnewm,**doldm;
     }    double *xp;
     double *gp, *gm;
     n= lastobs;    double **gradg, **trgradg;
     severity = vector(1,maxwav);    double **mu;
     outcome=imatrix(1,maxwav+1,1,n);    double age,agelim, cov[NCOVMAX];
     num=ivector(1,n);    double std=2.0; /* Number of standard deviation wide of confidence ellipsoids */
     moisnais=vector(1,n);    int theta;
     annais=vector(1,n);    char fileresprob[FILENAMELENGTH];
     moisdc=vector(1,n);    char fileresprobcov[FILENAMELENGTH];
     andc=vector(1,n);    char fileresprobcor[FILENAMELENGTH];
     agedc=vector(1,n);  
     cod=ivector(1,n);    double ***varpij;
     weight=vector(1,n);  
     for(i=1;i<=n;i++) weight[i]=1.0; /* Equal weights, 1 by default */    strcpy(fileresprob,"prob"); 
     mint=matrix(1,maxwav,1,n);    strcat(fileresprob,fileres);
     anint=matrix(1,maxwav,1,n);    if((ficresprob=fopen(fileresprob,"w"))==NULL) {
     s=imatrix(1,maxwav+1,1,n);      printf("Problem with resultfile: %s\n", fileresprob);
     adl=imatrix(1,maxwav+1,1,n);          fprintf(ficlog,"Problem with resultfile: %s\n", fileresprob);
     tab=ivector(1,NCOVMAX);    }
     ncodemax=ivector(1,8);    strcpy(fileresprobcov,"probcov"); 
     strcat(fileresprobcov,fileres);
     i=1;    if((ficresprobcov=fopen(fileresprobcov,"w"))==NULL) {
     while (fgets(line, MAXLINE, fic) != NULL)    {      printf("Problem with resultfile: %s\n", fileresprobcov);
       if ((i >= firstobs) && (i <=lastobs)) {      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcov);
            }
         for (j=maxwav;j>=1;j--){    strcpy(fileresprobcor,"probcor"); 
           cutv(stra, strb,line,' '); s[j][i]=atoi(strb);    strcat(fileresprobcor,fileres);
           strcpy(line,stra);    if((ficresprobcor=fopen(fileresprobcor,"w"))==NULL) {
           cutv(stra, strb,line,'/'); anint[j][i]=(double)(atoi(strb)); strcpy(line,stra);      printf("Problem with resultfile: %s\n", fileresprobcor);
           cutv(stra, strb,line,' '); mint[j][i]=(double)(atoi(strb)); strcpy(line,stra);      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcor);
         }    }
            printf("Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);
         cutv(stra, strb,line,'/'); andc[i]=(double)(atoi(strb)); strcpy(line,stra);    fprintf(ficlog,"Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);
         cutv(stra, strb,line,' '); moisdc[i]=(double)(atoi(strb)); strcpy(line,stra);    printf("Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);
     fprintf(ficlog,"Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);
         cutv(stra, strb,line,'/'); annais[i]=(double)(atoi(strb)); strcpy(line,stra);    printf("and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);
         cutv(stra, strb,line,' '); moisnais[i]=(double)(atoi(strb)); strcpy(line,stra);    fprintf(ficlog,"and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);
     
         cutv(stra, strb,line,' '); weight[i]=(double)(atoi(strb)); strcpy(line,stra);    fprintf(ficresprob,"#One-step probabilities and stand. devi in ()\n");
         for (j=ncovcol;j>=1;j--){    fprintf(ficresprob,"# Age");
           cutv(stra, strb,line,' '); covar[j][i]=(double)(atoi(strb)); strcpy(line,stra);    fprintf(ficresprobcov,"#One-step probabilities and covariance matrix\n");
         }    fprintf(ficresprobcov,"# Age");
         num[i]=atol(stra);    fprintf(ficresprobcor,"#One-step probabilities and correlation matrix\n");
            fprintf(ficresprobcov,"# Age");
         /*if((s[2][i]==2) && (s[3][i]==-1)&&(s[4][i]==9)){  
           printf("%d %.lf %.lf %.lf %.lf/%.lf %.lf/%.lf %.lf/%.lf %d %.lf/%.lf %d %.lf/%.lf %d %.lf/%.lf %d\n",num[i],(covar[1][i]), (covar[2][i]),weight[i], (moisnais[i]), (annais[i]), (moisdc[i]), (andc[i]), (mint[1][i]), (anint[1][i]), (s[1][i]),  (mint[2][i]), (anint[2][i]), (s[2][i]),  (mint[3][i]), (anint[3][i]), (s[3][i]),  (mint[4][i]), (anint[4][i]), (s[4][i])); ij=ij+1;}*/  
     for(i=1; i<=nlstate;i++)
         i=i+1;      for(j=1; j<=(nlstate+ndeath);j++){
       }        fprintf(ficresprob," p%1d-%1d (SE)",i,j);
     }        fprintf(ficresprobcov," p%1d-%1d ",i,j);
     /* printf("ii=%d", ij);        fprintf(ficresprobcor," p%1d-%1d ",i,j);
        scanf("%d",i);*/      }  
   imx=i-1; /* Number of individuals */   /* fprintf(ficresprob,"\n");
     fprintf(ficresprobcov,"\n");
   /* for (i=1; i<=imx; i++){    fprintf(ficresprobcor,"\n");
     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;   xp=vector(1,npar);
     if ((s[3][i]==3) && (s[4][i]==2)) s[4][i]=3;    dnewm=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);
     }*/    doldm=matrix(1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath));
    /*  for (i=1; i<=imx; i++){    mu=matrix(1,(nlstate)*(nlstate+ndeath), (int) bage, (int)fage);
      if (s[4][i]==9)  s[4][i]=-1;    varpij=ma3x(1,nlstate*(nlstate+ndeath),1,nlstate*(nlstate+ndeath),(int) bage, (int) fage);
      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]));}*/    first=1;
      fprintf(ficgp,"\n# Routine varprob");
      fprintf(fichtm,"\n<li><h4> Computing and drawing one step probabilities with their confidence intervals</h4></li>\n");
   /* Calculation of the number of parameter from char model*/    fprintf(fichtm,"\n");
   Tvar=ivector(1,15);  
   Tprod=ivector(1,15);    fprintf(fichtm,"\n<li><h4> <a href=\"%s\">Matrix of variance-covariance of pairs of step probabilities (drawings)</a></h4></li>\n",optionfilehtmcov);
   Tvaraff=ivector(1,15);    fprintf(fichtmcov,"\n<h4>Matrix of variance-covariance of pairs of step probabilities</h4>\n\
   Tvard=imatrix(1,15,1,2);    file %s<br>\n",optionfilehtmcov);
   Tage=ivector(1,15);          fprintf(fichtmcov,"\nEllipsoids of confidence centered on point (p<inf>ij</inf>, p<inf>kl</inf>) are estimated\
      and drawn. It helps understanding how is the covariance between two incidences.\
   if (strlen(model) >1){   They are expressed in year<sup>-1</sup> in order to be less dependent of stepm.<br>\n");
     j=0, j1=0, k1=1, k2=1;    fprintf(fichtmcov,"\n<br> Contour plot corresponding to x'cov<sup>-1</sup>x = 4 (where x is the column vector (pij,pkl)) are drawn. \
     j=nbocc(model,'+');  It can be understood this way: if pij and pkl where uncorrelated the (2x2) matrix of covariance \
     j1=nbocc(model,'*');  would have been (1/(var pij), 0 , 0, 1/(var pkl)), and the confidence interval would be 2 \
     cptcovn=j+1;  standard deviations wide on each axis. <br>\
     cptcovprod=j1;   Now, if both incidences are correlated (usual case) we diagonalised the inverse of the covariance matrix\
       and made the appropriate rotation to look at the uncorrelated principal directions.<br>\
     strcpy(modelsav,model);  To be simple, these graphs help to understand the significativity of each parameter in relation to a second other one.<br> \n");
     if ((strcmp(model,"age")==0) || (strcmp(model,"age*age")==0)){  
       printf("Error. Non available option model=%s ",model);    cov[1]=1;
       goto end;    tj=cptcoveff;
     }    if (cptcovn<1) {tj=1;ncodemax[1]=1;}
        j1=0;
     for(i=(j+1); i>=1;i--){    for(t=1; t<=tj;t++){
       cutv(stra,strb,modelsav,'+');      for(i1=1; i1<=ncodemax[t];i1++){ 
       if (nbocc(modelsav,'+')==0) strcpy(strb,modelsav);        j1++;
       /*      printf("i=%d a=%s b=%s sav=%s\n",i, stra,strb,modelsav);*/        if  (cptcovn>0) {
       /*scanf("%d",i);*/          fprintf(ficresprob, "\n#********** Variable "); 
       if (strchr(strb,'*')) {          for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprob, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
         cutv(strd,strc,strb,'*');          fprintf(ficresprob, "**********\n#\n");
         if (strcmp(strc,"age")==0) {          fprintf(ficresprobcov, "\n#********** Variable "); 
           cptcovprod--;          for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcov, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
           cutv(strb,stre,strd,'V');          fprintf(ficresprobcov, "**********\n#\n");
           Tvar[i]=atoi(stre);          
           cptcovage++;          fprintf(ficgp, "\n#********** Variable "); 
             Tage[cptcovage]=i;          for (z1=1; z1<=cptcoveff; z1++) fprintf(ficgp, " V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
             /*printf("stre=%s ", stre);*/          fprintf(ficgp, "**********\n#\n");
         }          
         else if (strcmp(strd,"age")==0) {          
           cptcovprod--;          fprintf(fichtmcov, "\n<hr  size=\"2\" color=\"#EC5E5E\">********** Variable "); 
           cutv(strb,stre,strc,'V');          for (z1=1; z1<=cptcoveff; z1++) fprintf(fichtm, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
           Tvar[i]=atoi(stre);          fprintf(fichtmcov, "**********\n<hr size=\"2\" color=\"#EC5E5E\">");
           cptcovage++;          
           Tage[cptcovage]=i;          fprintf(ficresprobcor, "\n#********** Variable ");    
         }          for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcor, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
         else {          fprintf(ficresprobcor, "**********\n#");    
           cutv(strb,stre,strc,'V');        }
           Tvar[i]=ncovcol+k1;        
           cutv(strb,strc,strd,'V');        for (age=bage; age<=fage; age ++){ 
           Tprod[k1]=i;          cov[2]=age;
           Tvard[k1][1]=atoi(strc);          for (k=1; k<=cptcovn;k++) {
           Tvard[k1][2]=atoi(stre);            cov[2+k]=nbcode[Tvar[k]][codtab[j1][Tvar[k]]];
           Tvar[cptcovn+k2]=Tvard[k1][1];          }
           Tvar[cptcovn+k2+1]=Tvard[k1][2];          for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2];
           for (k=1; k<=lastobs;k++)          for (k=1; k<=cptcovprod;k++)
             covar[ncovcol+k1][k]=covar[atoi(stre)][k]*covar[atoi(strc)][k];            cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]]*nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]];
           k1++;          
           k2=k2+2;          gradg=matrix(1,npar,1,(nlstate)*(nlstate+ndeath));
         }          trgradg=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);
       }          gp=vector(1,(nlstate)*(nlstate+ndeath));
       else {          gm=vector(1,(nlstate)*(nlstate+ndeath));
         /*printf("d=%s c=%s b=%s\n", strd,strc,strb);*/      
        /*  scanf("%d",i);*/          for(theta=1; theta <=npar; theta++){
       cutv(strd,strc,strb,'V');            for(i=1; i<=npar; i++)
       Tvar[i]=atoi(strc);              xp[i] = x[i] + (i==theta ?delti[theta]:(double)0);
       }            
       strcpy(modelsav,stra);              pmij(pmmij,cov,ncovmodel,xp,nlstate);
       /*printf("a=%s b=%s sav=%s\n", stra,strb,modelsav);            
         scanf("%d",i);*/            k=0;
     }            for(i=1; i<= (nlstate); i++){
 }              for(j=1; j<=(nlstate+ndeath);j++){
                  k=k+1;
   /* printf("tvar1=%d tvar2=%d tvar3=%d cptcovage=%d Tage=%d",Tvar[1],Tvar[2],Tvar[3],cptcovage,Tage[1]);                gp[k]=pmmij[i][j];
   printf("cptcovprod=%d ", cptcovprod);              }
   scanf("%d ",i);*/            }
     fclose(fic);            
             for(i=1; i<=npar; i++)
     /*  if(mle==1){*/              xp[i] = x[i] - (i==theta ?delti[theta]:(double)0);
     if (weightopt != 1) { /* Maximisation without weights*/      
       for(i=1;i<=n;i++) weight[i]=1.0;            pmij(pmmij,cov,ncovmodel,xp,nlstate);
     }            k=0;
     /*-calculation of age at interview from date of interview and age at death -*/            for(i=1; i<=(nlstate); i++){
     agev=matrix(1,maxwav,1,imx);              for(j=1; j<=(nlstate+ndeath);j++){
                 k=k+1;
     for (i=1; i<=imx; i++) {                gm[k]=pmmij[i][j];
       for(m=2; (m<= maxwav); m++) {              }
        if ((mint[m][i]== 99) && (s[m][i] <= nlstate)){            }
          anint[m][i]=9999;       
          s[m][i]=-1;            for(i=1; i<= (nlstate)*(nlstate+ndeath); i++) 
        }              gradg[theta][i]=(gp[i]-gm[i])/(double)2./delti[theta];  
      if(moisdc[i]==99 && andc[i]==9999 & s[m][i]>nlstate) s[m][i]=-1;          }
       }  
     }          for(j=1; j<=(nlstate)*(nlstate+ndeath);j++)
             for(theta=1; theta <=npar; theta++)
     for (i=1; i<=imx; i++)  {              trgradg[j][theta]=gradg[theta][j];
       agedc[i]=(moisdc[i]/12.+andc[i])-(moisnais[i]/12.+annais[i]);          
       for(m=1; (m<= maxwav); m++){          matprod2(dnewm,trgradg,1,(nlstate)*(nlstate+ndeath),1,npar,1,npar,matcov); 
         if(s[m][i] >0){          matprod2(doldm,dnewm,1,(nlstate)*(nlstate+ndeath),1,npar,1,(nlstate)*(nlstate+ndeath),gradg);
           if (s[m][i] >= nlstate+1) {          free_vector(gp,1,(nlstate+ndeath)*(nlstate+ndeath));
             if(agedc[i]>0)          free_vector(gm,1,(nlstate+ndeath)*(nlstate+ndeath));
               if(moisdc[i]!=99 && andc[i]!=9999)          free_matrix(trgradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);
                 agev[m][i]=agedc[i];          free_matrix(gradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);
             /*if(moisdc[i]==99 && andc[i]==9999) s[m][i]=-1;*/  
            else {          pmij(pmmij,cov,ncovmodel,x,nlstate);
               if (andc[i]!=9999){          
               printf("Warning negative age at death: %d line:%d\n",num[i],i);          k=0;
               agev[m][i]=-1;          for(i=1; i<=(nlstate); i++){
               }            for(j=1; j<=(nlstate+ndeath);j++){
             }              k=k+1;
           }              mu[k][(int) age]=pmmij[i][j];
           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]);          }
             if(mint[m][i]==99 || anint[m][i]==9999)          for(i=1;i<=(nlstate)*(nlstate+ndeath);i++)
               agev[m][i]=1;            for(j=1;j<=(nlstate)*(nlstate+ndeath);j++)
             else if(agev[m][i] <agemin){              varpij[i][j][(int)age] = doldm[i][j];
               agemin=agev[m][i];  
               /*printf(" Min anint[%d][%d]=%.2f annais[%d]=%.2f, agemin=%.2f\n",m,i,anint[m][i], i,annais[i], agemin);*/          /*printf("\n%d ",(int)age);
             }            for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){
             else if(agev[m][i] >agemax){            printf("%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));
               agemax=agev[m][i];            fprintf(ficlog,"%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));
              /* printf(" anint[%d][%d]=%.0f annais[%d]=%.0f, agemax=%.0f\n",m,i,anint[m][i], i,annais[i], agemax);*/            }*/
             }  
             /*agev[m][i]=anint[m][i]-annais[i];*/          fprintf(ficresprob,"\n%d ",(int)age);
             /*   agev[m][i] = age[i]+2*m;*/          fprintf(ficresprobcov,"\n%d ",(int)age);
           }          fprintf(ficresprobcor,"\n%d ",(int)age);
           else { /* =9 */  
             agev[m][i]=1;          for (i=1; i<=(nlstate)*(nlstate+ndeath);i++)
             s[m][i]=-1;            fprintf(ficresprob,"%11.3e (%11.3e) ",mu[i][(int) age],sqrt(varpij[i][i][(int)age]));
           }          for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){
         }            fprintf(ficresprobcov,"%11.3e ",mu[i][(int) age]);
         else /*= 0 Unknown */            fprintf(ficresprobcor,"%11.3e ",mu[i][(int) age]);
           agev[m][i]=1;          }
       }          i=0;
              for (k=1; k<=(nlstate);k++){
     }            for (l=1; l<=(nlstate+ndeath);l++){ 
     for (i=1; i<=imx; i++)  {              i=i++;
       for(m=1; (m<= maxwav); m++){              fprintf(ficresprobcov,"\n%d %d-%d",(int)age,k,l);
         if (s[m][i] > (nlstate+ndeath)) {              fprintf(ficresprobcor,"\n%d %d-%d",(int)age,k,l);
           printf("Error: Wrong value in nlstate or ndeath\n");                for (j=1; j<=i;j++){
           goto end;                fprintf(ficresprobcov," %11.3e",varpij[i][j][(int)age]);
         }                fprintf(ficresprobcor," %11.3e",varpij[i][j][(int) age]/sqrt(varpij[i][i][(int) age])/sqrt(varpij[j][j][(int)age]));
       }              }
     }            }
           }/* end of loop for state */
 printf("Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, agemin, agemax);        } /* end of loop for age */
   
     free_vector(severity,1,maxwav);        /* Confidence intervalle of pij  */
     free_imatrix(outcome,1,maxwav+1,1,n);        /*
     free_vector(moisnais,1,n);          fprintf(ficgp,"\nset noparametric;unset label");
     free_vector(annais,1,n);          fprintf(ficgp,"\nset log y;unset log x; set xlabel \"Age\";set ylabel \"probability (year-1)\"");
     /* free_matrix(mint,1,maxwav,1,n);          fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65");
        free_matrix(anint,1,maxwav,1,n);*/          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);
     free_vector(moisdc,1,n);          fprintf(fichtm,"\n<br><img src=\"pijgr%s.png\"> ",optionfilefiname);
     free_vector(andc,1,n);          fprintf(ficgp,"\nset out \"pijgr%s.png\"",optionfilefiname);
           fprintf(ficgp,"\nplot \"%s\" every :::%d::%d u 1:2 \"\%%lf",k1,k2,xfilevarprob);
            */
     wav=ivector(1,imx);  
     dh=imatrix(1,lastpass-firstpass+1,1,imx);        /* Drawing ellipsoids of confidence of two variables p(k1-l1,k2-l2)*/
     mw=imatrix(1,lastpass-firstpass+1,1,imx);        first1=1;
            for (k2=1; k2<=(nlstate);k2++){
     /* Concatenates waves */          for (l2=1; l2<=(nlstate+ndeath);l2++){ 
       concatwav(wav, dh, mw, s, agedc, agev,  firstpass, lastpass, imx, nlstate, stepm);            if(l2==k2) continue;
             j=(k2-1)*(nlstate+ndeath)+l2;
             for (k1=1; k1<=(nlstate);k1++){
       Tcode=ivector(1,100);              for (l1=1; l1<=(nlstate+ndeath);l1++){ 
       nbcode=imatrix(0,NCOVMAX,0,NCOVMAX);                if(l1==k1) continue;
       ncodemax[1]=1;                i=(k1-1)*(nlstate+ndeath)+l1;
       if (cptcovn > 0) tricode(Tvar,nbcode,imx);                if(i<=j) continue;
                      for (age=bage; age<=fage; age ++){ 
    codtab=imatrix(1,100,1,10);                  if ((int)age %5==0){
    h=0;                    v1=varpij[i][i][(int)age]/stepm*YEARM/stepm*YEARM;
    m=pow(2,cptcoveff);                    v2=varpij[j][j][(int)age]/stepm*YEARM/stepm*YEARM;
                      cv12=varpij[i][j][(int)age]/stepm*YEARM/stepm*YEARM;
    for(k=1;k<=cptcoveff; k++){                    mu1=mu[i][(int) age]/stepm*YEARM ;
      for(i=1; i <=(m/pow(2,k));i++){                    mu2=mu[j][(int) age]/stepm*YEARM;
        for(j=1; j <= ncodemax[k]; j++){                    c12=cv12/sqrt(v1*v2);
          for(cpt=1; cpt <=(m/pow(2,cptcoveff+1-k)); cpt++){                    /* Computing eigen value of matrix of covariance */
            h++;                    lc1=((v1+v2)+sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
            if (h>m) h=1;codtab[h][k]=j;codtab[h][Tvar[k]]=j;                    lc2=((v1+v2)-sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
            /*  printf("h=%d k=%d j=%d codtab[h][k]=%d tvar[k]=%d \n",h, k,j,codtab[h][k],Tvar[k]);*/                    /* Eigen vectors */
          }                    v11=(1./sqrt(1+(v1-lc1)*(v1-lc1)/cv12/cv12));
        }                    /*v21=sqrt(1.-v11*v11); *//* error */
      }                    v21=(lc1-v1)/cv12*v11;
    }                    v12=-v21;
    /* printf("codtab[1][2]=%d codtab[2][2]=%d",codtab[1][2],codtab[2][2]);                    v22=v11;
       codtab[1][2]=1;codtab[2][2]=2; */                    tnalp=v21/v11;
    /* for(i=1; i <=m ;i++){                    if(first1==1){
       for(k=1; k <=cptcovn; k++){                      first1=0;
       printf("i=%d k=%d %d %d ",i,k,codtab[i][k], cptcoveff);                      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);
       }                    }
       printf("\n");                    fprintf(ficlog,"%d %d%d-%d%d mu %.4e %.4e Var %.4e %.4e cor %.3f cov %.4e Eig %.3e %.3e 1stv %.3f %.3f tan %.3f\n",(int) age,k1,l1,k2,l2,mu1,mu2,v1,v2,c12,cv12,lc1,lc2,v11,v21,tnalp);
       }                    /*printf(fignu*/
       scanf("%d",i);*/                    /* mu1+ v11*lc1*cost + v12*lc2*sin(t) */
                        /* mu2+ v21*lc1*cost + v22*lc2*sin(t) */
    /* Calculates basic frequencies. Computes observed prevalence at single age                    if(first==1){
        and prints on file fileres'p'. */                      first=0;
                       fprintf(ficgp,"\nset parametric;unset label");
                          fprintf(ficgp,"\nset log y;set log x; set xlabel \"p%1d%1d (year-1)\";set ylabel \"p%1d%1d (year-1)\"",k1,l1,k2,l2);
                          fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65");
     pmmij= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */                      fprintf(fichtmcov,"\n<br>Ellipsoids of confidence cov(p%1d%1d,p%1d%1d) expressed in year<sup>-1</sup>\
     oldms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */   :<a href=\"%s%d%1d%1d-%1d%1d.png\">\
     newms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */  %s%d%1d%1d-%1d%1d.png</A>, ",k1,l1,k2,l2,\
     savms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */                              subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2,\
     oldm=oldms; newm=newms; savm=savms; /* Keeps fixed addresses to free */                              subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2);
                            fprintf(fichtmcov,"\n<br><img src=\"%s%d%1d%1d-%1d%1d.png\"> ",subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2);
     /* For Powell, parameters are in a vector p[] starting at p[1]                      fprintf(fichtmcov,"\n<br> Correlation at age %d (%.3f),",(int) age, c12);
        so we point p on param[1][1] so that p[1] maps on param[1][1][1] */                      fprintf(ficgp,"\nset out \"%s%d%1d%1d-%1d%1d.png\"",subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2);
     p=param[1][1]; /* *(*(*(param +1)+1)+0) */                      fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);
                       fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);
     if(mle==1){                      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",\
     mlikeli(ficres,p, npar, ncovmodel, nlstate, ftol, func);                              mu1,std,v11,sqrt(lc1),v12,sqrt(lc2),\
     }                              mu2,std,v21,sqrt(lc1),v22,sqrt(lc2));
                        }else{
     /*--------- results files --------------*/                      first=0;
     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);                      fprintf(fichtmcov," %d (%.3f),",(int) age, c12);
                        fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);
                       fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);
    jk=1;                      fprintf(ficgp,"\nreplot %11.3e+ %.3f*(%11.3e*%11.3e*cos(t)+%11.3e*%11.3e*sin(t)), %11.3e +%.3f*(%11.3e*%11.3e*cos(t)+%11.3e*%11.3e*sin(t)) not",\
    fprintf(ficres,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");                              mu1,std,v11,sqrt(lc1),v12,sqrt(lc2),\
    printf("# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");                              mu2,std,v21,sqrt(lc1),v22,sqrt(lc2));
    for(i=1,jk=1; i <=nlstate; i++){                    }/* if first */
      for(k=1; k <=(nlstate+ndeath); k++){                  } /* age mod 5 */
        if (k != i)                } /* end loop age */
          {                fprintf(ficgp,"\nset out \"%s%d%1d%1d-%1d%1d.png\";replot;",subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2);
            printf("%d%d ",i,k);                first=1;
            fprintf(ficres,"%1d%1d ",i,k);              } /*l12 */
            for(j=1; j <=ncovmodel; j++){            } /* k12 */
              printf("%f ",p[jk]);          } /*l1 */
              fprintf(ficres,"%f ",p[jk]);        }/* k1 */
              jk++;      } /* loop covariates */
            }    }
            printf("\n");    free_ma3x(varpij,1,nlstate,1,nlstate+ndeath,(int) bage, (int)fage);
            fprintf(ficres,"\n");    free_matrix(mu,1,(nlstate+ndeath)*(nlstate+ndeath),(int) bage, (int)fage);
          }    free_vector(xp,1,npar);
      }    fclose(ficresprob);
    }    fclose(ficresprobcov);
  if(mle==1){    fclose(ficresprobcor);
     /* Computing hessian and covariance matrix */    fflush(ficgp);
     ftolhess=ftol; /* Usually correct */    fflush(fichtmcov);
     hesscov(matcov, p, npar, delti, ftolhess, func);  }
  }  
     fprintf(ficres,"# Scales (for hessian or gradient estimation)\n");  
     printf("# Scales (for hessian or gradient estimation)\n");  /******************* Printing html file ***********/
      for(i=1,jk=1; i <=nlstate; i++){  void printinghtml(char fileres[], char title[], char datafile[], int firstpass, \
       for(j=1; j <=nlstate+ndeath; j++){                    int lastpass, int stepm, int weightopt, char model[],\
         if (j!=i) {                    int imx,int jmin, int jmax, double jmeanint,char rfileres[],\
           fprintf(ficres,"%1d%1d",i,j);                    int popforecast, int estepm ,\
           printf("%1d%1d",i,j);                    double jprev1, double mprev1,double anprev1, \
           for(k=1; k<=ncovmodel;k++){                    double jprev2, double mprev2,double anprev2){
             printf(" %.5e",delti[jk]);    int jj1, k1, i1, cpt;
             fprintf(ficres," %.5e",delti[jk]);  
             jk++;     fprintf(fichtm,"<ul><li><h4>Result files (first order: no variance)</h4>\n \
           }   - Observed prevalence in each state (during the period defined between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf): <a href=\"%s\">%s</a> <br>\n ",
           printf("\n");             jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,subdirf2(fileres,"p"),subdirf2(fileres,"p"));
           fprintf(ficres,"\n");     fprintf(fichtm,"\
         }   - Estimated transition probabilities over %d (stepm) months: <a href=\"%s\">%s</a><br>\n ",
       }             stepm,subdirf2(fileres,"pij"),subdirf2(fileres,"pij"));
      }     fprintf(fichtm,"\
       - Stable prevalence in each health state: <a href=\"%s\">%s</a> <br>\n",
     k=1;             subdirf2(fileres,"pl"),subdirf2(fileres,"pl"));
     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(fichtm,"\
     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");   - Life expectancies by age and initial health status (estepm=%2d months): \
     for(i=1;i<=npar;i++){     <a href=\"%s\">%s</a> <br>\n</li>",
       /*  if (k>nlstate) k=1;             estepm,subdirf2(fileres,"e"),subdirf2(fileres,"e"));
       i1=(i-1)/(ncovmodel*nlstate)+1;  
       fprintf(ficres,"%s%d%d",alph[k],i1,tab[i]);  fprintf(fichtm," \n<ul><li><b>Graphs</b></li><p>");
       printf("%s%d%d",alph[k],i1,tab[i]);*/  
       fprintf(ficres,"%3d",i);   m=cptcoveff;
       printf("%3d",i);   if (cptcovn < 1) {m=1;ncodemax[1]=1;}
       for(j=1; j<=i;j++){  
         fprintf(ficres," %.5e",matcov[i][j]);   jj1=0;
         printf(" %.5e",matcov[i][j]);   for(k1=1; k1<=m;k1++){
       }     for(i1=1; i1<=ncodemax[k1];i1++){
       fprintf(ficres,"\n");       jj1++;
       printf("\n");       if (cptcovn > 0) {
       k++;         fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");
     }         for (cpt=1; cpt<=cptcoveff;cpt++) 
               fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtab[jj1][cpt]]);
     while((c=getc(ficpar))=='#' && c!= EOF){         fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");
       ungetc(c,ficpar);       }
       fgets(line, MAXLINE, ficpar);       /* Pij */
       puts(line);       fprintf(fichtm,"<br>- Pij or Conditional probabilities to be observed in state j being in state i, %d (stepm) months before: %s%d1.png<br> \
       fputs(line,ficparo);  <img src=\"%s%d1.png\">",stepm,subdirf2(optionfilefiname,"pe"),jj1,subdirf2(optionfilefiname,"pe"),jj1);     
     }       /* Quasi-incidences */
     ungetc(c,ficpar);       fprintf(fichtm,"<br>- Pij or Conditional probabilities to be observed in state j being in state i %d (stepm) months\
     estepm=0;   before but expressed in per year i.e. quasi incidences if stepm is small and probabilities too: %s%d2.png<br> \
     fscanf(ficpar,"agemin=%lf agemax=%lf bage=%lf fage=%lf estepm=%d\n",&ageminpar,&agemaxpar, &bage, &fage, &estepm);  <img src=\"%s%d2.png\">",stepm,subdirf2(optionfilefiname,"pe"),jj1,subdirf2(optionfilefiname,"pe"),jj1); 
     if (estepm==0 || estepm < stepm) estepm=stepm;         /* Stable prevalence in each health state */
     if (fage <= 2) {         for(cpt=1; cpt<nlstate;cpt++){
       bage = ageminpar;           fprintf(fichtm,"<br>- Stable prevalence in each health state : p%s%d%d.png<br> \
       fage = agemaxpar;  <img src=\"%s%d%d.png\">",subdirf2(optionfilefiname,"p"),cpt,jj1,subdirf2(optionfilefiname,"p"),cpt,jj1);
     }         }
           for(cpt=1; cpt<=nlstate;cpt++) {
     fprintf(ficres,"# agemin agemax for life expectancy, bage fage (if mle==0 ie no data nor Max likelihood).\n");          fprintf(fichtm,"\n<br>- Health life expectancies by age and initial health state (%d): %s%d%d.png <br> \
     fprintf(ficres,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d\n",ageminpar,agemaxpar,bage,fage, estepm);  <img src=\"%s%d%d.png\">",cpt,subdirf2(optionfilefiname,"exp"),cpt,jj1,subdirf2(optionfilefiname,"exp"),cpt,jj1);
     fprintf(ficparo,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d\n",ageminpar,agemaxpar,bage,fage, estepm);       }
       } /* end i1 */
     while((c=getc(ficpar))=='#' && c!= EOF){   }/* End k1 */
     ungetc(c,ficpar);   fprintf(fichtm,"</ul>");
     fgets(line, MAXLINE, ficpar);  
     puts(line);  
     fputs(line,ficparo);   fprintf(fichtm,"\
   }  \n<br><li><h4> Result files (second order: variances)</h4>\n\
   ungetc(c,ficpar);   - Parameter file with estimated parameters and covariance matrix: <a href=\"%s\">%s</a> <br>\n", rfileres,rfileres);
    
   fscanf(ficpar,"begin-prev-date=%lf/%lf/%lf end-prev-date=%lf/%lf/%lf\n",&jprev1, &mprev1,&anprev1,&jprev2, &mprev2,&anprev2);   fprintf(fichtm," - Variance of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
   fprintf(ficparo,"begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);           subdirf2(fileres,"prob"),subdirf2(fileres,"prob"));
  fprintf(ficres,"begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);   fprintf(fichtm,"\
         - Variance-covariance of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
   while((c=getc(ficpar))=='#' && c!= EOF){           subdirf2(fileres,"probcov"),subdirf2(fileres,"probcov"));
     ungetc(c,ficpar);  
     fgets(line, MAXLINE, ficpar);   fprintf(fichtm,"\
     puts(line);   - Correlation matrix of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
     fputs(line,ficparo);           subdirf2(fileres,"probcor"),subdirf2(fileres,"probcor"));
   }   fprintf(fichtm,"\
   ungetc(c,ficpar);   - Variances and covariances of life expectancies by age and initial health status (estepm=%d months): <a href=\"%s\">%s</a><br>\n",
             estepm, subdirf2(fileres,"v"),subdirf2(fileres,"v"));
    fprintf(fichtm,"\
    dateprev1=anprev1+mprev1/12.+jprev1/365.;   - Health expectancies with their variances (no covariance): <a href=\"%s\">%s</a> <br>\n",
    dateprev2=anprev2+mprev2/12.+jprev2/365.;           subdirf2(fileres,"t"),subdirf2(fileres,"t"));
    fprintf(fichtm,"\
   fscanf(ficpar,"pop_based=%d\n",&popbased);   - Standard deviation of stable prevalences: <a href=\"%s\">%s</a> <br>\n",\
   fprintf(ficparo,"pop_based=%d\n",popbased);             subdirf2(fileres,"vpl"),subdirf2(fileres,"vpl"));
   fprintf(ficres,"pop_based=%d\n",popbased);    
    /*  if(popforecast==1) fprintf(fichtm,"\n */
   while((c=getc(ficpar))=='#' && c!= EOF){  /*  - Prevalences forecasting: <a href=\"f%s\">f%s</a> <br>\n */
     ungetc(c,ficpar);  /*  - Population forecasting (if popforecast=1): <a href=\"pop%s\">pop%s</a> <br>\n */
     fgets(line, MAXLINE, ficpar);  /*      <br>",fileres,fileres,fileres,fileres); */
     puts(line);  /*  else  */
     fputs(line,ficparo);  /*    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); */
   }   fflush(fichtm);
   ungetc(c,ficpar);   fprintf(fichtm," <ul><li><b>Graphs</b></li><p>");
   
   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);   m=cptcoveff;
 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);   if (cptcovn < 1) {m=1;ncodemax[1]=1;}
 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);  
    jj1=0;
    for(k1=1; k1<=m;k1++){
 while((c=getc(ficpar))=='#' && c!= EOF){     for(i1=1; i1<=ncodemax[k1];i1++){
     ungetc(c,ficpar);       jj1++;
     fgets(line, MAXLINE, ficpar);       if (cptcovn > 0) {
     puts(line);         fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");
     fputs(line,ficparo);         for (cpt=1; cpt<=cptcoveff;cpt++) 
   }           fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtab[jj1][cpt]]);
   ungetc(c,ficpar);         fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");
        }
   fscanf(ficpar,"popforecast=%d popfile=%s popfiledate=%lf/%lf/%lf last-popfiledate=%lf/%lf/%lf\n",&popforecast,popfile,&jpyram,&mpyram,&anpyram,&jpyram1,&mpyram1,&anpyram1);       for(cpt=1; cpt<=nlstate;cpt++) {
   fprintf(ficparo,"popforecast=%d popfile=%s popfiledate=%.lf/%.lf/%.lf last-popfiledate=%.lf/%.lf/%.lf\n",popforecast,popfile,jpyram,mpyram,anpyram,jpyram1,mpyram1,anpyram1);         fprintf(fichtm,"<br>- Observed (cross-sectional) and period (incidence based) \
   fprintf(ficres,"popforecast=%d popfile=%s popfiledate=%.lf/%.lf/%.lf last-popfiledate=%.lf/%.lf/%.lf\n",popforecast,popfile,jpyram,mpyram,anpyram,jpyram1,mpyram1,anpyram1);  prevalence (with 95%% confidence interval) in state (%d): %s%d%d.png <br>\
   <img src=\"%s%d%d.png\">",cpt,subdirf2(optionfilefiname,"v"),cpt,jj1,subdirf2(optionfilefiname,"v"),cpt,jj1);  
  freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvar,nbcode, ncodemax,mint,anint,dateprev1,dateprev2,jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);       }
        fprintf(fichtm,"\n<br>- Total life expectancy by age and \
 /*------------ gnuplot -------------*/  health expectancies in states (1) and (2): %s%d.png<br>\
  printinggnuplot(fileres,optionfilefiname,optionfile,optionfilegnuplot, ageminpar,agemaxpar,fage, pathc,p);  <img src=\"%s%d.png\">",subdirf2(optionfilefiname,"e"),jj1,subdirf2(optionfilefiname,"e"),jj1);
       } /* end i1 */
 /*------------ free_vector  -------------*/   }/* End k1 */
  chdir(path);   fprintf(fichtm,"</ul>");
     fflush(fichtm);
  free_ivector(wav,1,imx);  }
  free_imatrix(dh,1,lastpass-firstpass+1,1,imx);  
  free_imatrix(mw,1,lastpass-firstpass+1,1,imx);    /******************* Gnuplot file **************/
  free_ivector(num,1,n);  void printinggnuplot(char fileres[], char optionfilefiname[], double ageminpar, double agemaxpar, double fage , char pathc[], double p[]){
  free_vector(agedc,1,n);  
  /*free_matrix(covar,1,NCOVMAX,1,n);*/    char dirfileres[132],optfileres[132];
  fclose(ficparo);    int m,cpt,k1,i,k,j,jk,k2,k3,ij,l;
  fclose(ficres);    int ng;
   /*   if((ficgp=fopen(optionfilegnuplot,"a"))==NULL) { */
 /*--------- index.htm --------*/  /*     printf("Problem with file %s",optionfilegnuplot); */
   /*     fprintf(ficlog,"Problem with file %s",optionfilegnuplot); */
   printinghtml(fileres,title,datafile, firstpass, lastpass, stepm, weightopt,model,imx,jmin,jmax,jmean,optionfile,optionfilehtm,rfileres,optionfilegnuplot,version,popforecast,estepm);  /*   } */
   
      /*#ifdef windows */
   /*--------------- Prevalence limit --------------*/    fprintf(ficgp,"cd \"%s\" \n",pathc);
        /*#endif */
   strcpy(filerespl,"pl");    m=pow(2,cptcoveff);
   strcat(filerespl,fileres);  
   if((ficrespl=fopen(filerespl,"w"))==NULL) {    strcpy(dirfileres,optionfilefiname);
     printf("Problem with Prev limit resultfile: %s\n", filerespl);goto end;    strcpy(optfileres,"vpl");
   }   /* 1eme*/
   printf("Computing prevalence limit: result on file '%s' \n", filerespl);    for (cpt=1; cpt<= nlstate ; cpt ++) {
   fprintf(ficrespl,"#Prevalence limit\n");     for (k1=1; k1<= m ; k1 ++) {
   fprintf(ficrespl,"#Age ");       fprintf(ficgp,"\nset out \"%s%d%d.png\" \n",subdirf2(optionfilefiname,"v"),cpt,k1);
   for(i=1; i<=nlstate;i++) fprintf(ficrespl,"%d-%d ",i,i);       fprintf(ficgp,"\n#set out \"v%s%d%d.png\" \n",optionfilefiname,cpt,k1);
   fprintf(ficrespl,"\n");       fprintf(ficgp,"set xlabel \"Age\" \n\
    set ylabel \"Probability\" \n\
   prlim=matrix(1,nlstate,1,nlstate);  set ter png small\n\
   pmmij= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */  set size 0.65,0.65\n\
   oldms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */  plot [%.f:%.f] \"%s\" every :::%d::%d u 1:2 \"\%%lf",ageminpar,fage,subdirf2(fileres,"vpl"),k1-1,k1-1);
   newms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */  
   savms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */       for (i=1; i<= nlstate ; i ++) {
   oldm=oldms; newm=newms; savm=savms; /* Keeps fixed addresses to free */         if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");
   k=0;         else fprintf(ficgp," \%%*lf (\%%*lf)");
   agebase=ageminpar;       }
   agelim=agemaxpar;       fprintf(ficgp,"\" t\"Stable prevalence\" w l 0,\"%s\" every :::%d::%d u 1:($2+1.96*$3) \"\%%lf",subdirf2(fileres,"vpl"),k1-1,k1-1);
   ftolpl=1.e-10;       for (i=1; i<= nlstate ; i ++) {
   i1=cptcoveff;         if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");
   if (cptcovn < 1){i1=1;}         else fprintf(ficgp," \%%*lf (\%%*lf)");
        } 
   for(cptcov=1;cptcov<=i1;cptcov++){       fprintf(ficgp,"\" t\"95\%% CI\" w l 1,\"%s\" every :::%d::%d u 1:($2-1.96*$3) \"\%%lf",subdirf2(fileres,"vpl"),k1-1,k1-1); 
     for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){       for (i=1; i<= nlstate ; i ++) {
         k=k+1;         if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");
         /*printf("cptcov=%d cptcod=%d codtab=%d nbcode=%d\n",cptcov, cptcod,Tcode[cptcode],codtab[cptcod][cptcov]);*/         else fprintf(ficgp," \%%*lf (\%%*lf)");
         fprintf(ficrespl,"\n#******");       }  
         for(j=1;j<=cptcoveff;j++)       fprintf(ficgp,"\" t\"\" w l 1,\"%s\" every :::%d::%d u 1:($%d) t\"Observed prevalence \" w l 2",subdirf2(fileres,"p"),k1-1,k1-1,2+4*(cpt-1));
           fprintf(ficrespl," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);     }
         fprintf(ficrespl,"******\n");    }
            /*2 eme*/
         for (age=agebase; age<=agelim; age++){    
           prevalim(prlim, nlstate, p, age, oldm, savm,ftolpl,k);    for (k1=1; k1<= m ; k1 ++) { 
           fprintf(ficrespl,"%.0f",age );      fprintf(ficgp,"\nset out \"%s%d.png\" \n",subdirf2(optionfilefiname,"e"),k1);
           for(i=1; i<=nlstate;i++)      fprintf(ficgp,"set ylabel \"Years\" \nset ter png small\nset size 0.65,0.65\nplot [%.f:%.f] ",ageminpar,fage);
           fprintf(ficrespl," %.5f", prlim[i][i]);      
           fprintf(ficrespl,"\n");      for (i=1; i<= nlstate+1 ; i ++) {
         }        k=2*i;
       }        fprintf(ficgp,"\"%s\" every :::%d::%d u 1:2 \"\%%lf",subdirf2(fileres,"t"),k1-1,k1-1);
     }        for (j=1; j<= nlstate+1 ; j ++) {
   fclose(ficrespl);          if (j==i) fprintf(ficgp," \%%lf (\%%lf)");
           else fprintf(ficgp," \%%*lf (\%%*lf)");
   /*------------- h Pij x at various ages ------------*/        }   
          if (i== 1) fprintf(ficgp,"\" t\"TLE\" w l ,");
   strcpy(filerespij,"pij");  strcat(filerespij,fileres);        else fprintf(ficgp,"\" t\"LE in state (%d)\" w l ,",i-1);
   if((ficrespij=fopen(filerespij,"w"))==NULL) {        fprintf(ficgp,"\"%s\" every :::%d::%d u 1:($2-$3*2) \"\%%lf",subdirf2(fileres,"t"),k1-1,k1-1);
     printf("Problem with Pij resultfile: %s\n", filerespij);goto end;        for (j=1; j<= nlstate+1 ; j ++) {
   }          if (j==i) fprintf(ficgp," \%%lf (\%%lf)");
   printf("Computing pij: result on file '%s' \n", filerespij);          else fprintf(ficgp," \%%*lf (\%%*lf)");
          }   
   stepsize=(int) (stepm+YEARM-1)/YEARM;        fprintf(ficgp,"\" t\"\" w l 0,");
   /*if (stepm<=24) stepsize=2;*/        fprintf(ficgp,"\"%s\" every :::%d::%d u 1:($2+$3*2) \"\%%lf",subdirf2(fileres,"t"),k1-1,k1-1);
         for (j=1; j<= nlstate+1 ; j ++) {
   agelim=AGESUP;          if (j==i) fprintf(ficgp," \%%lf (\%%lf)");
   hstepm=stepsize*YEARM; /* Every year of age */          else fprintf(ficgp," \%%*lf (\%%*lf)");
   hstepm=hstepm/stepm; /* Typically 2 years, = 2/6 months = 4 */        }   
          if (i== (nlstate+1)) fprintf(ficgp,"\" t\"\" w l 0");
   k=0;        else fprintf(ficgp,"\" t\"\" w l 0,");
   for(cptcov=1;cptcov<=i1;cptcov++){      }
     for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){    }
       k=k+1;    
         fprintf(ficrespij,"\n#****** ");    /*3eme*/
         for(j=1;j<=cptcoveff;j++)    
           fprintf(ficrespij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);    for (k1=1; k1<= m ; k1 ++) { 
         fprintf(ficrespij,"******\n");      for (cpt=1; cpt<= nlstate ; cpt ++) {
                k=2+nlstate*(2*cpt-2);
         for (agedeb=fage; agedeb>=bage; agedeb--){ /* If stepm=6 months */        fprintf(ficgp,"\nset out \"%s%d%d.png\" \n",subdirf2(optionfilefiname,"exp"),cpt,k1);
           nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */        fprintf(ficgp,"set ter png small\n\
           nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */  set size 0.65,0.65\n\
           p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);  plot [%.f:%.f] \"%s\" every :::%d::%d u 1:%d t \"e%d1\" w l",ageminpar,fage,subdirf2(fileres,"e"),k1-1,k1-1,k,cpt);
           oldm=oldms;savm=savms;        /*fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d-2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);
           hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);            for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");
           fprintf(ficrespij,"# Age");          fprintf(ficgp,"\" t \"e%d1\" w l",cpt);
           for(i=1; i<=nlstate;i++)          fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d+2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);
             for(j=1; j<=nlstate+ndeath;j++)          for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");
               fprintf(ficrespij," %1d-%1d",i,j);          fprintf(ficgp,"\" t \"e%d1\" w l",cpt);
           fprintf(ficrespij,"\n");          
            for (h=0; h<=nhstepm; h++){        */
             fprintf(ficrespij,"%d %.0f %.0f",k,agedeb, agedeb+ h*hstepm/YEARM*stepm );        for (i=1; i< nlstate ; i ++) {
             for(i=1; i<=nlstate;i++)          fprintf(ficgp," ,\"%s\" every :::%d::%d u 1:%d t \"e%d%d\" w l",subdirf2(fileres,"e"),k1-1,k1-1,k+2*i,cpt,i+1);
               for(j=1; j<=nlstate+ndeath;j++)          
                 fprintf(ficrespij," %.5f", p3mat[i][j][h]);        } 
             fprintf(ficrespij,"\n");      }
              }    }
           free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);    
           fprintf(ficrespij,"\n");    /* CV preval stable (period) */
         }    for (k1=1; k1<= m ; k1 ++) { 
     }      for (cpt=1; cpt<=nlstate ; cpt ++) {
   }        k=3;
         fprintf(ficgp,"\nset out \"%s%d%d.png\" \n",subdirf2(optionfilefiname,"p"),cpt,k1);
   varprob(fileres, matcov, p, delti, nlstate, (int) bage, (int) fage,k,Tvar,nbcode, ncodemax);        fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \n\
   set ter png small\nset size 0.65,0.65\n\
   fclose(ficrespij);  unset log y\n\
   plot [%.f:%.f] \"%s\" u ($1==%d ? ($3):1/0):($%d/($%d",ageminpar,agemaxpar,subdirf2(fileres,"pij"),k1,k+cpt+1,k+1);
         
   /*---------- Forecasting ------------------*/        for (i=1; i< nlstate ; i ++)
   if((stepm == 1) && (strcmp(model,".")==0)){          fprintf(ficgp,"+$%d",k+i+1);
     prevforecast(fileres, anproj1,mproj1,jproj1, agemin,agemax, dateprev1, dateprev2,mobilav, agedeb, fage, popforecast, popfile, anproj2,p, i1);        fprintf(ficgp,")) t\"prev(%d,%d)\" w l",cpt,cpt+1);
     if (popforecast==1) populforecast(fileres, anpyram,mpyram,jpyram, agemin,agemax, dateprev1, dateprev2,mobilav, agedeb, fage, popforecast, popfile, anpyram1,p, i1);        
   }        l=3+(nlstate+ndeath)*cpt;
   else{        fprintf(ficgp,",\"%s\" u ($1==%d ? ($3):1/0):($%d/($%d",subdirf2(fileres,"pij"),k1,l+cpt+1,l+1);
     erreur=108;        for (i=1; i< nlstate ; i ++) {
     printf("Warning %d!! You can only forecast the prevalences if the optimization\n  has been performed with stepm = 1 (month) instead of %d or model=. instead of '%s'\n", erreur, stepm, model);          l=3+(nlstate+ndeath)*cpt;
   }          fprintf(ficgp,"+$%d",l+i+1);
          }
         fprintf(ficgp,")) t\"prev(%d,%d)\" w l\n",cpt+1,cpt+1);   
   /*---------- Health expectancies and variances ------------*/      } 
     }  
   strcpy(filerest,"t");    
   strcat(filerest,fileres);    /* proba elementaires */
   if((ficrest=fopen(filerest,"w"))==NULL) {    for(i=1,jk=1; i <=nlstate; i++){
     printf("Problem with total LE resultfile: %s\n", filerest);goto end;      for(k=1; k <=(nlstate+ndeath); k++){
   }        if (k != i) {
   printf("Computing Total LEs with variances: file '%s' \n", filerest);          for(j=1; j <=ncovmodel; j++){
             fprintf(ficgp,"p%d=%f ",jk,p[jk]);
             jk++; 
   strcpy(filerese,"e");            fprintf(ficgp,"\n");
   strcat(filerese,fileres);          }
   if((ficreseij=fopen(filerese,"w"))==NULL) {        }
     printf("Problem with Health Exp. resultfile: %s\n", filerese); exit(0);      }
   }     }
   printf("Computing Health Expectancies: result on file '%s' \n", filerese);  
      for(ng=1; ng<=2;ng++){ /* Number of graphics: first is probabilities second is incidence per year*/
  strcpy(fileresv,"v");       for(jk=1; jk <=m; jk++) {
   strcat(fileresv,fileres);         fprintf(ficgp,"\nset out \"%s%d%d.png\" \n",subdirf2(optionfilefiname,"pe"),jk,ng); 
   if((ficresvij=fopen(fileresv,"w"))==NULL) {         if (ng==2)
     printf("Problem with variance resultfile: %s\n", fileresv);exit(0);           fprintf(ficgp,"\nset ylabel \"Quasi-incidence per year\"\n");
   }         else
   printf("Computing Variance-covariance of DFLEs: file '%s' \n", fileresv);           fprintf(ficgp,"\nset title \"Probability\"\n");
   calagedate=-1;         fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65\nset log y\nplot  [%.f:%.f] ",ageminpar,agemaxpar);
 prevalence(ageminpar, agemax, s, agev, nlstate, imx,Tvar,nbcode, ncodemax,mint,anint,dateprev1,dateprev2, calagedate);         i=1;
          for(k2=1; k2<=nlstate; k2++) {
   k=0;           k3=i;
   for(cptcov=1;cptcov<=i1;cptcov++){           for(k=1; k<=(nlstate+ndeath); k++) {
     for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){             if (k != k2){
       k=k+1;               if(ng==2)
       fprintf(ficrest,"\n#****** ");                 fprintf(ficgp," %f*exp(p%d+p%d*x",YEARM/stepm,i,i+1);
       for(j=1;j<=cptcoveff;j++)               else
         fprintf(ficrest,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);                 fprintf(ficgp," exp(p%d+p%d*x",i,i+1);
       fprintf(ficrest,"******\n");               ij=1;
                for(j=3; j <=ncovmodel; j++) {
       fprintf(ficreseij,"\n#****** ");                 if(((j-2)==Tage[ij]) &&(ij <=cptcovage)) {
       for(j=1;j<=cptcoveff;j++)                   fprintf(ficgp,"+p%d*%d*x",i+j-1,nbcode[Tvar[j-2]][codtab[jk][Tvar[j-2]]]);
         fprintf(ficreseij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);                   ij++;
       fprintf(ficreseij,"******\n");                 }
                  else
       fprintf(ficresvij,"\n#****** ");                   fprintf(ficgp,"+p%d*%d",i+j-1,nbcode[Tvar[j-2]][codtab[jk][j-2]]);
       for(j=1;j<=cptcoveff;j++)               }
         fprintf(ficresvij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);               fprintf(ficgp,")/(1");
       fprintf(ficresvij,"******\n");               
                for(k1=1; k1 <=nlstate; k1++){   
       eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);                 fprintf(ficgp,"+exp(p%d+p%d*x",k3+(k1-1)*ncovmodel,k3+(k1-1)*ncovmodel+1);
       oldm=oldms;savm=savms;                 ij=1;
       evsij(fileres, eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k, estepm, delti, matcov);                   for(j=3; j <=ncovmodel; j++){
                     if(((j-2)==Tage[ij]) &&(ij <=cptcovage)) {
       vareij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);                     fprintf(ficgp,"+p%d*%d*x",k3+(k1-1)*ncovmodel+1+j-2,nbcode[Tvar[j-2]][codtab[jk][Tvar[j-2]]]);
       oldm=oldms;savm=savms;                     ij++;
        varevsij(fileres, vareij, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k, estepm);                   }
                       else
                      fprintf(ficgp,"+p%d*%d",k3+(k1-1)*ncovmodel+1+j-2,nbcode[Tvar[j-2]][codtab[jk][j-2]]);
                   }
       fprintf(ficrest,"#Total LEs with variances: e.. (std) ");                 fprintf(ficgp,")");
       for (i=1;i<=nlstate;i++) fprintf(ficrest,"e.%d (std) ",i);               }
       fprintf(ficrest,"\n");               fprintf(ficgp,") t \"p%d%d\" ", k2,k);
                if ((k+k2)!= (nlstate*2+ndeath)) fprintf(ficgp,",");
       epj=vector(1,nlstate+1);               i=i+ncovmodel;
       for(age=bage; age <=fage ;age++){             }
         prevalim(prlim, nlstate, p, age, oldm, savm,ftolpl,k);           } /* end k */
         if (popbased==1) {         } /* end k2 */
           for(i=1; i<=nlstate;i++)       } /* end jk */
             prlim[i][i]=probs[(int)age][i][k];     } /* end ng */
         }     fflush(ficgp); 
          }  /* end gnuplot */
         fprintf(ficrest," %4.0f",age);  
         for(j=1, epj[nlstate+1]=0.;j <=nlstate;j++){  
           for(i=1, epj[j]=0.;i <=nlstate;i++) {  /*************** Moving average **************/
             epj[j] += prlim[i][i]*eij[i][j][(int)age];  int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav){
             /*  printf("%lf %lf ", prlim[i][i] ,eij[i][j][(int)age]);*/  
           }    int i, cpt, cptcod;
           epj[nlstate+1] +=epj[j];    int modcovmax =1;
         }    int mobilavrange, mob;
     double age;
         for(i=1, vepp=0.;i <=nlstate;i++)  
           for(j=1;j <=nlstate;j++)    modcovmax=2*cptcoveff;/* Max number of modalities. We suppose 
             vepp += vareij[i][j][(int)age];                             a covariate has 2 modalities */
         fprintf(ficrest," %7.3f (%7.3f)", epj[nlstate+1],sqrt(vepp));    if (cptcovn<1) modcovmax=1; /* At least 1 pass */
         for(j=1;j <=nlstate;j++){  
           fprintf(ficrest," %7.3f (%7.3f)", epj[j],sqrt(vareij[j][j][(int)age]));    if(mobilav==1||mobilav ==3 ||mobilav==5 ||mobilav== 7){
         }      if(mobilav==1) mobilavrange=5; /* default */
         fprintf(ficrest,"\n");      else mobilavrange=mobilav;
       }      for (age=bage; age<=fage; age++)
     }        for (i=1; i<=nlstate;i++)
   }          for (cptcod=1;cptcod<=modcovmax;cptcod++)
 free_matrix(mint,1,maxwav,1,n);            mobaverage[(int)age][i][cptcod]=probs[(int)age][i][cptcod];
     free_matrix(anint,1,maxwav,1,n); free_imatrix(s,1,maxwav+1,1,n);      /* We keep the original values on the extreme ages bage, fage and for 
     free_vector(weight,1,n);         fage+1 and bage-1 we use a 3 terms moving average; for fage+2 bage+2
   fclose(ficreseij);         we use a 5 terms etc. until the borders are no more concerned. 
   fclose(ficresvij);      */ 
   fclose(ficrest);      for (mob=3;mob <=mobilavrange;mob=mob+2){
   fclose(ficpar);        for (age=bage+(mob-1)/2; age<=fage-(mob-1)/2; age++){
   free_vector(epj,1,nlstate+1);          for (i=1; i<=nlstate;i++){
              for (cptcod=1;cptcod<=modcovmax;cptcod++){
   /*------- Variance limit prevalence------*/                mobaverage[(int)age][i][cptcod] =probs[(int)age][i][cptcod];
                 for (cpt=1;cpt<=(mob-1)/2;cpt++){
   strcpy(fileresvpl,"vpl");                  mobaverage[(int)age][i][cptcod] +=probs[(int)age-cpt][i][cptcod];
   strcat(fileresvpl,fileres);                  mobaverage[(int)age][i][cptcod] +=probs[(int)age+cpt][i][cptcod];
   if((ficresvpl=fopen(fileresvpl,"w"))==NULL) {                }
     printf("Problem with variance prev lim resultfile: %s\n", fileresvpl);              mobaverage[(int)age][i][cptcod]=mobaverage[(int)age][i][cptcod]/mob;
     exit(0);            }
   }          }
   printf("Computing Variance-covariance of Prevalence limit: file '%s' \n", fileresvpl);        }/* end age */
       }/* end mob */
   k=0;    }else return -1;
   for(cptcov=1;cptcov<=i1;cptcov++){    return 0;
     for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){  }/* End movingaverage */
       k=k+1;  
       fprintf(ficresvpl,"\n#****** ");  
       for(j=1;j<=cptcoveff;j++)  /************** Forecasting ******************/
         fprintf(ficresvpl,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);  prevforecast(char fileres[], double anproj1, double mproj1, double jproj1, double ageminpar, double agemax, double dateprev1, double dateprev2, int mobilav, double bage, double fage, int firstpass, int lastpass, double anproj2, double p[], int cptcoveff){
       fprintf(ficresvpl,"******\n");    /* proj1, year, month, day of starting projection 
             agemin, agemax range of age
       varpl=matrix(1,nlstate,(int) bage, (int) fage);       dateprev1 dateprev2 range of dates during which prevalence is computed
       oldm=oldms;savm=savms;       anproj2 year of en of projection (same day and month as proj1).
      varprevlim(fileres, varpl, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k);    */
     }    int yearp, stepsize, hstepm, nhstepm, j, k, c, cptcod, i, h, i1;
  }    int *popage;
     double agec; /* generic age */
   fclose(ficresvpl);    double agelim, ppij, yp,yp1,yp2,jprojmean,mprojmean,anprojmean;
     double *popeffectif,*popcount;
   /*---------- End : free ----------------*/    double ***p3mat;
   free_matrix(varpl,1,nlstate,(int) bage, (int)fage);    double ***mobaverage;
      char fileresf[FILENAMELENGTH];
   free_ma3x(vareij,1,nlstate,1,nlstate,(int) bage, (int)fage);  
   free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);    agelim=AGESUP;
      prevalence(probs, ageminpar, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass);
     
   free_matrix(pmmij,1,nlstate+ndeath,1,nlstate+ndeath);    strcpy(fileresf,"f"); 
   free_matrix(oldms, 1,nlstate+ndeath,1,nlstate+ndeath);    strcat(fileresf,fileres);
   free_matrix(newms, 1,nlstate+ndeath,1,nlstate+ndeath);    if((ficresf=fopen(fileresf,"w"))==NULL) {
   free_matrix(savms, 1,nlstate+ndeath,1,nlstate+ndeath);      printf("Problem with forecast resultfile: %s\n", fileresf);
        fprintf(ficlog,"Problem with forecast resultfile: %s\n", fileresf);
   free_matrix(matcov,1,npar,1,npar);    }
   free_vector(delti,1,npar);    printf("Computing forecasting: result on file '%s' \n", fileresf);
   free_matrix(agev,1,maxwav,1,imx);    fprintf(ficlog,"Computing forecasting: result on file '%s' \n", fileresf);
   free_ma3x(param,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel);  
     if (cptcoveff==0) ncodemax[cptcoveff]=1;
   if(erreur >0)  
     printf("End of Imach with error or warning %d\n",erreur);    if (mobilav!=0) {
   else   printf("End of Imach\n");      mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
   /*  gettimeofday(&end_time, (struct timezone*)0);*/  /* after time */      if (movingaverage(probs, ageminpar, fage, mobaverage,mobilav)!=0){
          fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
   /* 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(" Error in movingaverage mobilav=%d\n",mobilav);
   /*printf("Total time was %d uSec.\n", total_usecs);*/      }
   /*------ End -----------*/    }
   
     stepsize=(int) (stepm+YEARM-1)/YEARM;
  end:    if (stepm<=12) stepsize=1;
 #ifdef windows    if(estepm < stepm){
   /* chdir(pathcd);*/      printf ("Problem %d lower than %d\n",estepm, stepm);
 #endif    }
  /*system("wgnuplot graph.plt");*/    else  hstepm=estepm;   
  /*system("../gp37mgw/wgnuplot graph.plt");*/  
  /*system("cd ../gp37mgw");*/    hstepm=hstepm/stepm; 
  /* system("..\\gp37mgw\\wgnuplot graph.plt");*/    yp1=modf(dateintmean,&yp);/* extracts integral of datemean in yp  and
  strcpy(plotcmd,GNUPLOTPROGRAM);                                 fractional in yp1 */
  strcat(plotcmd," ");    anprojmean=yp;
  strcat(plotcmd,optionfilegnuplot);    yp2=modf((yp1*12),&yp);
  system(plotcmd);    mprojmean=yp;
     yp1=modf((yp2*30.5),&yp);
 #ifdef windows    jprojmean=yp;
   while (z[0] != 'q') {    if(jprojmean==0) jprojmean=1;
     /* chdir(path); */    if(mprojmean==0) jprojmean=1;
     printf("\nType e to edit output files, g to graph again, c to start again, and q for exiting: ");  
     scanf("%s",z);    i1=cptcoveff;
     if (z[0] == 'c') system("./imach");    if (cptcovn < 1){i1=1;}
     else if (z[0] == 'e') system(optionfilehtm);    
     else if (z[0] == 'g') system(plotcmd);    fprintf(ficresf,"# Mean day of interviews %.lf/%.lf/%.lf (%.2f) between %.2f and %.2f \n",jprojmean,mprojmean,anprojmean,dateintmean,dateprev1,dateprev2); 
     else if (z[0] == 'q') exit(0);    
   }    fprintf(ficresf,"#****** Routine prevforecast **\n");
 #endif  
 }  /*            if (h==(int)(YEARM*yearp)){ */
     for(cptcov=1, k=0;cptcov<=i1;cptcov++){
       for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){
         k=k+1;
         fprintf(ficresf,"\n#******");
         for(j=1;j<=cptcoveff;j++) {
           fprintf(ficresf," V%d=%d, hpijx=probability over h years, hp.jx is weighted by observed prev ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
         }
         fprintf(ficresf,"******\n");
         fprintf(ficresf,"# Covariate valuofcovar yearproj age");
         for(j=1; j<=nlstate+ndeath;j++){ 
           for(i=1; i<=nlstate;i++)              
             fprintf(ficresf," p%d%d",i,j);
           fprintf(ficresf," p.%d",j);
         }
         for (yearp=0; yearp<=(anproj2-anproj1);yearp +=stepsize) { 
           fprintf(ficresf,"\n");
           fprintf(ficresf,"\n# Forecasting at date %.lf/%.lf/%.lf ",jproj1,mproj1,anproj1+yearp);   
   
           for (agec=fage; agec>=(ageminpar-1); agec--){ 
             nhstepm=(int) rint((agelim-agec)*YEARM/stepm); 
             nhstepm = nhstepm/hstepm; 
             p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
             oldm=oldms;savm=savms;
             hpxij(p3mat,nhstepm,agec,hstepm,p,nlstate,stepm,oldm,savm, k);  
           
             for (h=0; h<=nhstepm; h++){
               if (h*hstepm/YEARM*stepm ==yearp) {
                 fprintf(ficresf,"\n");
                 for(j=1;j<=cptcoveff;j++) 
                   fprintf(ficresf,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
                 fprintf(ficresf,"%.f %.f ",anproj1+yearp,agec+h*hstepm/YEARM*stepm);
               } 
               for(j=1; j<=nlstate+ndeath;j++) {
                 ppij=0.;
                 for(i=1; i<=nlstate;i++) {
                   if (mobilav==1) 
                     ppij=ppij+p3mat[i][j][h]*mobaverage[(int)agec][i][cptcod];
                   else {
                     ppij=ppij+p3mat[i][j][h]*probs[(int)(agec)][i][cptcod];
                   }
                   if (h*hstepm/YEARM*stepm== yearp) {
                     fprintf(ficresf," %.3f", p3mat[i][j][h]);
                   }
                 } /* end i */
                 if (h*hstepm/YEARM*stepm==yearp) {
                   fprintf(ficresf," %.3f", ppij);
                 }
               }/* end j */
             } /* end h */
             free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
           } /* end agec */
         } /* end yearp */
       } /* end cptcod */
     } /* end  cptcov */
          
     if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
   
     fclose(ficresf);
   }
   
   /************** Forecasting *****not tested NB*************/
   populforecast(char fileres[], double anpyram,double mpyram,double jpyram,double ageminpar, double agemax,double dateprev1, double dateprev2, int mobilav, double agedeb, double fage, int popforecast, char popfile[], double anpyram1,double p[], int i2){
     
     int cpt, stepsize, hstepm, nhstepm, j,k,c, cptcod, i,h;
     int *popage;
     double calagedatem, agelim, kk1, kk2;
     double *popeffectif,*popcount;
     double ***p3mat,***tabpop,***tabpopprev;
     double ***mobaverage;
     char filerespop[FILENAMELENGTH];
   
     tabpop= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
     tabpopprev= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
     agelim=AGESUP;
     calagedatem=(anpyram+mpyram/12.+jpyram/365.-dateintmean)*YEARM;
     
     prevalence(probs, ageminpar, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass);
     
     
     strcpy(filerespop,"pop"); 
     strcat(filerespop,fileres);
     if((ficrespop=fopen(filerespop,"w"))==NULL) {
       printf("Problem with forecast resultfile: %s\n", filerespop);
       fprintf(ficlog,"Problem with forecast resultfile: %s\n", filerespop);
     }
     printf("Computing forecasting: result on file '%s' \n", filerespop);
     fprintf(ficlog,"Computing forecasting: result on file '%s' \n", filerespop);
   
     if (cptcoveff==0) ncodemax[cptcoveff]=1;
   
     if (mobilav!=0) {
       mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
       if (movingaverage(probs, ageminpar, fage, mobaverage,mobilav)!=0){
         fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
         printf(" Error in movingaverage mobilav=%d\n",mobilav);
       }
     }
   
     stepsize=(int) (stepm+YEARM-1)/YEARM;
     if (stepm<=12) stepsize=1;
     
     agelim=AGESUP;
     
     hstepm=1;
     hstepm=hstepm/stepm; 
     
     if (popforecast==1) {
       if((ficpop=fopen(popfile,"r"))==NULL) {
         printf("Problem with population file : %s\n",popfile);exit(0);
         fprintf(ficlog,"Problem with population file : %s\n",popfile);exit(0);
       } 
       popage=ivector(0,AGESUP);
       popeffectif=vector(0,AGESUP);
       popcount=vector(0,AGESUP);
       
       i=1;   
       while ((c=fscanf(ficpop,"%d %lf\n",&popage[i],&popcount[i])) != EOF) i=i+1;
      
       imx=i;
       for (i=1; i<imx;i++) popeffectif[popage[i]]=popcount[i];
     }
   
     for(cptcov=1,k=0;cptcov<=i2;cptcov++){
      for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){
         k=k+1;
         fprintf(ficrespop,"\n#******");
         for(j=1;j<=cptcoveff;j++) {
           fprintf(ficrespop," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
         }
         fprintf(ficrespop,"******\n");
         fprintf(ficrespop,"# Age");
         for(j=1; j<=nlstate+ndeath;j++) fprintf(ficrespop," P.%d",j);
         if (popforecast==1)  fprintf(ficrespop," [Population]");
         
         for (cpt=0; cpt<=0;cpt++) { 
           fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);   
           
           for (agedeb=(fage-((int)calagedatem %12/12.)); agedeb>=(ageminpar-((int)calagedatem %12)/12.); agedeb--){ 
             nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); 
             nhstepm = nhstepm/hstepm; 
             
             p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
             oldm=oldms;savm=savms;
             hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);  
           
             for (h=0; h<=nhstepm; h++){
               if (h==(int) (calagedatem+YEARM*cpt)) {
                 fprintf(ficrespop,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm);
               } 
               for(j=1; j<=nlstate+ndeath;j++) {
                 kk1=0.;kk2=0;
                 for(i=1; i<=nlstate;i++) {              
                   if (mobilav==1) 
                     kk1=kk1+p3mat[i][j][h]*mobaverage[(int)agedeb+1][i][cptcod];
                   else {
                     kk1=kk1+p3mat[i][j][h]*probs[(int)(agedeb+1)][i][cptcod];
                   }
                 }
                 if (h==(int)(calagedatem+12*cpt)){
                   tabpop[(int)(agedeb)][j][cptcod]=kk1;
                     /*fprintf(ficrespop," %.3f", kk1);
                       if (popforecast==1) fprintf(ficrespop," [%.f]", kk1*popeffectif[(int)agedeb+1]);*/
                 }
               }
               for(i=1; i<=nlstate;i++){
                 kk1=0.;
                   for(j=1; j<=nlstate;j++){
                     kk1= kk1+tabpop[(int)(agedeb)][j][cptcod]; 
                   }
                     tabpopprev[(int)(agedeb)][i][cptcod]=tabpop[(int)(agedeb)][i][cptcod]/kk1*popeffectif[(int)(agedeb+(calagedatem+12*cpt)*hstepm/YEARM*stepm-1)];
               }
   
               if (h==(int)(calagedatem+12*cpt)) for(j=1; j<=nlstate;j++) 
                 fprintf(ficrespop," %15.2f",tabpopprev[(int)(agedeb+1)][j][cptcod]);
             }
             free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
           }
         }
    
     /******/
   
         for (cpt=1; cpt<=(anpyram1-anpyram);cpt++) { 
           fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);   
           for (agedeb=(fage-((int)calagedatem %12/12.)); agedeb>=(ageminpar-((int)calagedatem %12)/12.); agedeb--){ 
             nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); 
             nhstepm = nhstepm/hstepm; 
             
             p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
             oldm=oldms;savm=savms;
             hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);  
             for (h=0; h<=nhstepm; h++){
               if (h==(int) (calagedatem+YEARM*cpt)) {
                 fprintf(ficresf,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm);
               } 
               for(j=1; j<=nlstate+ndeath;j++) {
                 kk1=0.;kk2=0;
                 for(i=1; i<=nlstate;i++) {              
                   kk1=kk1+p3mat[i][j][h]*tabpopprev[(int)agedeb+1][i][cptcod];    
                 }
                 if (h==(int)(calagedatem+12*cpt)) fprintf(ficresf," %15.2f", kk1);        
               }
             }
             free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
           }
         }
      } 
     }
    
     if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
   
     if (popforecast==1) {
       free_ivector(popage,0,AGESUP);
       free_vector(popeffectif,0,AGESUP);
       free_vector(popcount,0,AGESUP);
     }
     free_ma3x(tabpop,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
     free_ma3x(tabpopprev,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
     fclose(ficrespop);
   } /* End of popforecast */
   
   int fileappend(FILE *fichier, char *optionfich)
   {
     if((fichier=fopen(optionfich,"a"))==NULL) {
       printf("Problem with file: %s\n", optionfich);
       fprintf(ficlog,"Problem with file: %s\n", optionfich);
       return (0);
     }
     fflush(fichier);
     return (1);
   }
   
   
   /**************** function prwizard **********************/
   void prwizard(int ncovmodel, int nlstate, int ndeath,  char model[], FILE *ficparo)
   {
   
     /* Wizard to print covariance matrix template */
   
     char ca[32], cb[32], cc[32];
     int i,j, k, l, li, lj, lk, ll, jj, npar, itimes;
     int numlinepar;
   
     printf("# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
     fprintf(ficparo,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
     for(i=1; i <=nlstate; i++){
       jj=0;
       for(j=1; j <=nlstate+ndeath; j++){
         if(j==i) continue;
         jj++;
         /*ca[0]= k+'a'-1;ca[1]='\0';*/
         printf("%1d%1d",i,j);
         fprintf(ficparo,"%1d%1d",i,j);
         for(k=1; k<=ncovmodel;k++){
           /*        printf(" %lf",param[i][j][k]); */
           /*        fprintf(ficparo," %lf",param[i][j][k]); */
           printf(" 0.");
           fprintf(ficparo," 0.");
         }
         printf("\n");
         fprintf(ficparo,"\n");
       }
     }
     printf("# Scales (for hessian or gradient estimation)\n");
     fprintf(ficparo,"# Scales (for hessian or gradient estimation)\n");
     npar= (nlstate+ndeath-1)*nlstate*ncovmodel; /* Number of parameters*/ 
     for(i=1; i <=nlstate; i++){
       jj=0;
       for(j=1; j <=nlstate+ndeath; j++){
         if(j==i) continue;
         jj++;
         fprintf(ficparo,"%1d%1d",i,j);
         printf("%1d%1d",i,j);
         fflush(stdout);
         for(k=1; k<=ncovmodel;k++){
           /*      printf(" %le",delti3[i][j][k]); */
           /*      fprintf(ficparo," %le",delti3[i][j][k]); */
           printf(" 0.");
           fprintf(ficparo," 0.");
         }
         numlinepar++;
         printf("\n");
         fprintf(ficparo,"\n");
       }
     }
     printf("# Covariance matrix\n");
   /* # 121 Var(a12)\n\ */
   /* # 122 Cov(b12,a12) Var(b12)\n\ */
   /* # 131 Cov(a13,a12) Cov(a13,b12, Var(a13)\n\ */
   /* # 132 Cov(b13,a12) Cov(b13,b12, Cov(b13,a13) Var(b13)\n\ */
   /* # 212 Cov(a21,a12) Cov(a21,b12, Cov(a21,a13) Cov(a21,b13) Var(a21)\n\ */
   /* # 212 Cov(b21,a12) Cov(b21,b12, Cov(b21,a13) Cov(b21,b13) Cov(b21,a21) Var(b21)\n\ */
   /* # 232 Cov(a23,a12) Cov(a23,b12, Cov(a23,a13) Cov(a23,b13) Cov(a23,a21) Cov(a23,b21) Var(a23)\n\ */
   /* # 232 Cov(b23,a12) Cov(b23,b12) ... Var (b23)\n" */
     fflush(stdout);
     fprintf(ficparo,"# Covariance matrix\n");
     /* # 121 Var(a12)\n\ */
     /* # 122 Cov(b12,a12) Var(b12)\n\ */
     /* #   ...\n\ */
     /* # 232 Cov(b23,a12)  Cov(b23,b12) ... Var (b23)\n" */
     
     for(itimes=1;itimes<=2;itimes++){
       jj=0;
       for(i=1; i <=nlstate; i++){
         for(j=1; j <=nlstate+ndeath; j++){
           if(j==i) continue;
           for(k=1; k<=ncovmodel;k++){
             jj++;
             ca[0]= k+'a'-1;ca[1]='\0';
             if(itimes==1){
               printf("#%1d%1d%d",i,j,k);
               fprintf(ficparo,"#%1d%1d%d",i,j,k);
             }else{
               printf("%1d%1d%d",i,j,k);
               fprintf(ficparo,"%1d%1d%d",i,j,k);
               /*  printf(" %.5le",matcov[i][j]); */
             }
             ll=0;
             for(li=1;li <=nlstate; li++){
               for(lj=1;lj <=nlstate+ndeath; lj++){
                 if(lj==li) continue;
                 for(lk=1;lk<=ncovmodel;lk++){
                   ll++;
                   if(ll<=jj){
                     cb[0]= lk +'a'-1;cb[1]='\0';
                     if(ll<jj){
                       if(itimes==1){
                         printf(" Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                         fprintf(ficparo," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                       }else{
                         printf(" 0.");
                         fprintf(ficparo," 0.");
                       }
                     }else{
                       if(itimes==1){
                         printf(" Var(%s%1d%1d)",ca,i,j);
                         fprintf(ficparo," Var(%s%1d%1d)",ca,i,j);
                       }else{
                         printf(" 0.");
                         fprintf(ficparo," 0.");
                       }
                     }
                   }
                 } /* end lk */
               } /* end lj */
             } /* end li */
             printf("\n");
             fprintf(ficparo,"\n");
             numlinepar++;
           } /* end k*/
         } /*end j */
       } /* end i */
     } /* end itimes */
   
   } /* end of prwizard */
   /******************* Gompertz Likelihood ******************************/
   double gompertz(double x[])
   { 
     double A,B,L=0.0,sump=0.,num=0.;
     int i,n=0; /* n is the size of the sample */
     for (i=0;i<=imx-1 ; i++) {
       sump=sump+weight[i];
       sump=sump+1;
       num=num+1;
     }
    
    
     /* for (i=1; i<=imx; i++) 
        if (wav[i]>0) printf("i=%d ageex=%lf agecens=%lf agedc=%lf cens=%d %d\n" ,i,ageexmed[i],agecens[i],agedc[i],cens[i],wav[i]);*/
   
     for (i=0;i<=imx-1 ; i++)
       {
         if (cens[i]==1 & wav[i]>1)
           A=-x[1]/(x[2])*
             (exp(x[2]/YEARM*(agecens[i]*12-agegomp*12))-exp(x[2]/YEARM*(ageexmed[i]*12-agegomp*12)));
         
         if (cens[i]==0 & wav[i]>1)
           A=-x[1]/(x[2])*
                (exp(x[2]/YEARM*(agedc[i]*12-agegomp*12))-exp(x[2]/YEARM*(ageexmed[i]*12-agegomp*12)))
             +log(x[1]/YEARM)+x[2]/YEARM*(agedc[i]*12-agegomp*12)+log(YEARM);      
         
         if (wav[i]>1 & agecens[i]>15) {
           L=L+A*weight[i];
           /*      printf("\ni=%d A=%f L=%lf x[1]=%lf x[2]=%lf ageex=%lf agecens=%lf cens=%d agedc=%lf weight=%lf\n",i,A,L,x[1],x[2],ageexmed[i]*12,agecens[i]*12,cens[i],agedc[i]*12,weight[i]);*/
         }
       }
   
    /*printf("x1=%2.9f x2=%2.9f x3=%2.9f L=%f\n",x[1],x[2],x[3],L);*/
    
     return -2*L*num/sump;
   }
   
   /******************* Printing html file ***********/
   void printinghtmlmort(char fileres[], char title[], char datafile[], int firstpass, \
                     int lastpass, int stepm, int weightopt, char model[],\
                     int imx,  double p[],double **matcov){
     int i;
   
     fprintf(fichtm,"<ul><li><h4>Result files </h4>\n Force of mortality. Parameters of the Gompertz fit (with confidence interval in brackets):<br>");
     fprintf(fichtm,"  mu(age) =%lf*exp(%lf*(age-%d)) per year<br><br>",p[1],p[2],agegomp);
     for (i=1;i<=2;i++) 
       fprintf(fichtm," p[%d] = %lf [%f ; %f]<br>\n",i,p[i],p[i]-2*sqrt(matcov[i][i]),p[i]+2*sqrt(matcov[i][i]));
     fprintf(fichtm,"<br><br><img src=\"graphmort.png\">");
     fprintf(fichtm,"</ul>");
     fflush(fichtm);
   }
   
   /******************* Gnuplot file **************/
   void printinggnuplotmort(char fileres[], char optionfilefiname[], double ageminpar, double agemaxpar, double fage , char pathc[], double p[]){
   
     char dirfileres[132],optfileres[132];
     int m,cpt,k1,i,k,j,jk,k2,k3,ij,l;
     int ng;
   
   
     /*#ifdef windows */
     fprintf(ficgp,"cd \"%s\" \n",pathc);
       /*#endif */
   
   
     strcpy(dirfileres,optionfilefiname);
     strcpy(optfileres,"vpl");
     fprintf(ficgp,"set out \"graphmort.png\"\n "); 
     fprintf(ficgp,"set xlabel \"Age\"\n set ylabel \"Force of mortality (per year)\" \n "); 
     fprintf(ficgp, "set ter png small\n set log y\n"); 
     fprintf(ficgp, "set size 0.65,0.65\n");
     fprintf(ficgp,"plot [%d:100] %lf*exp(%lf*(x-%d))",agegomp,p[1],p[2],agegomp);
   
   } 
   
   
   
   
   /***********************************************/
   /**************** Main Program *****************/
   /***********************************************/
   
   int main(int argc, char *argv[])
   {
     int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav);
     int i,j, k, n=MAXN,iter,m,size=100,cptcode, cptcod;
     int jj, ll, li, lj, lk, imk;
     int numlinepar=0; /* Current linenumber of parameter file */
     int itimes;
     int NDIM=2;
   
     char ca[32], cb[32], cc[32];
     /*  FILE *fichtm; *//* Html File */
     /* FILE *ficgp;*/ /*Gnuplot File */
     double agedeb, agefin,hf;
     double ageminpar=1.e20,agemin=1.e20, agemaxpar=-1.e20, agemax=-1.e20;
   
     double fret;
     double **xi,tmp,delta;
   
     double dum; /* Dummy variable */
     double ***p3mat;
     double ***mobaverage;
     int *indx;
     char line[MAXLINE], linepar[MAXLINE];
     char path[MAXLINE],pathc[MAXLINE],pathcd[MAXLINE],pathtot[MAXLINE],model[MAXLINE];
     char pathr[MAXLINE], pathimach[MAXLINE]; 
     int firstobs=1, lastobs=10;
     int sdeb, sfin; /* Status at beginning and end */
     int c,  h , cpt,l;
     int ju,jl, mi;
     int i1,j1, k1,k2,k3,jk,aa,bb, stepsize, ij;
     int jnais,jdc,jint4,jint1,jint2,jint3,**outcome,*tab; 
     int mobilavproj=0 , prevfcast=0 ; /* moving average of prev, If prevfcast=1 prevalence projection */
     int mobilav=0,popforecast=0;
     int hstepm, nhstepm;
     double jprev1=1, mprev1=1,anprev1=2000,jprev2=1, mprev2=1,anprev2=2000;
     double jpyram=1, mpyram=1,anpyram=2000,jpyram1=1, mpyram1=1,anpyram1=2000;
   
     double bage, fage, age, agelim, agebase;
     double ftolpl=FTOL;
     double **prlim;
     double *severity;
     double ***param; /* Matrix of parameters */
     double  *p;
     double **matcov; /* Matrix of covariance */
     double ***delti3; /* Scale */
     double *delti; /* Scale */
     double ***eij, ***vareij;
     double **varpl; /* Variances of prevalence limits by age */
     double *epj, vepp;
     double kk1, kk2;
     double dateprev1, dateprev2,jproj1=1,mproj1=1,anproj1=2000,jproj2=1,mproj2=1,anproj2=2000;
     double **ximort;
     char *alph[]={"a","a","b","c","d","e"}, str[4];
     int *dcwave;
   
     char z[1]="c", occ;
   
     char stra[80], strb[80], strc[80], strd[80],stre[80],modelsav[80];
     char strstart[80], *strt, strtend[80];
     char *stratrunc;
     int lstra;
   
     long total_usecs;
    
   /*   setlocale (LC_ALL, ""); */
   /*   bindtextdomain (PACKAGE, LOCALEDIR); */
   /*   textdomain (PACKAGE); */
   /*   setlocale (LC_CTYPE, ""); */
   /*   setlocale (LC_MESSAGES, ""); */
   
     /*   gettimeofday(&start_time, (struct timezone*)0); */ /* at first time */
     (void) gettimeofday(&start_time,&tzp);
     curr_time=start_time;
     tm = *localtime(&start_time.tv_sec);
     tmg = *gmtime(&start_time.tv_sec);
     strcpy(strstart,asctime(&tm));
   
   /*  printf("Localtime (at start)=%s",strstart); */
   /*  tp.tv_sec = tp.tv_sec +86400; */
   /*  tm = *localtime(&start_time.tv_sec); */
   /*   tmg.tm_year=tmg.tm_year +dsign*dyear; */
   /*   tmg.tm_mon=tmg.tm_mon +dsign*dmonth; */
   /*   tmg.tm_hour=tmg.tm_hour + 1; */
   /*   tp.tv_sec = mktime(&tmg); */
   /*   strt=asctime(&tmg); */
   /*   printf("Time(after) =%s",strstart);  */
   /*  (void) time (&time_value);
   *  printf("time=%d,t-=%d\n",time_value,time_value-86400);
   *  tm = *localtime(&time_value);
   *  strstart=asctime(&tm);
   *  printf("tim_value=%d,asctime=%s\n",time_value,strstart); 
   */
   
     nberr=0; /* Number of errors and warnings */
     nbwarn=0;
     getcwd(pathcd, size);
   
     printf("\n%s\n%s",version,fullversion);
     if(argc <=1){
       printf("\nEnter the parameter file name: ");
       scanf("%s",pathtot);
     }
     else{
       strcpy(pathtot,argv[1]);
     }
     /*if(getcwd(pathcd, MAXLINE)!= NULL)printf ("Error pathcd\n");*/
     /*cygwin_split_path(pathtot,path,optionfile);
       printf("pathtot=%s, path=%s, optionfile=%s\n",pathtot,path,optionfile);*/
     /* cutv(path,optionfile,pathtot,'\\');*/
   
     split(argv[0],pathimach,optionfile,optionfilext,optionfilefiname);
    /*   strcpy(pathimach,argv[0]); */
     split(pathtot,path,optionfile,optionfilext,optionfilefiname);
     printf("pathimach=%s, pathtot=%s,\npath=%s,\noptionfile=%s \noptionfilext=%s \noptionfilefiname=%s\n",pathimach,pathtot,path,optionfile,optionfilext,optionfilefiname);
     chdir(path);
     strcpy(command,"mkdir ");
     strcat(command,optionfilefiname);
     if((outcmd=system(command)) != 0){
       printf("Problem creating directory or it already exists %s%s, err=%d\n",path,optionfilefiname,outcmd);
       /* fprintf(ficlog,"Problem creating directory %s%s\n",path,optionfilefiname); */
       /* fclose(ficlog); */
   /*     exit(1); */
     }
   /*   if((imk=mkdir(optionfilefiname))<0){ */
   /*     perror("mkdir"); */
   /*   } */
   
     /*-------- arguments in the command line --------*/
   
     /* Log file */
     strcat(filelog, optionfilefiname);
     strcat(filelog,".log");    /* */
     if((ficlog=fopen(filelog,"w"))==NULL)    {
       printf("Problem with logfile %s\n",filelog);
       goto end;
     }
     fprintf(ficlog,"Log filename:%s\n",filelog);
     fprintf(ficlog,"\n%s\n%s",version,fullversion);
     fprintf(ficlog,"\nEnter the parameter file name: \n");
     fprintf(ficlog,"pathimach=%s\npathtot=%s\n\
    path=%s \n\
    optionfile=%s\n\
    optionfilext=%s\n\
    optionfilefiname=%s\n",pathimach,pathtot,path,optionfile,optionfilext,optionfilefiname);
   
     printf("Local time (at start):%s",strstart);
     fprintf(ficlog,"Local time (at start): %s",strstart);
     fflush(ficlog);
   /*   (void) gettimeofday(&curr_time,&tzp); */
   /*   printf("Elapsed time %d\n", asc_diff_time(curr_time.tv_sec-start_time.tv_sec,tmpout)); */
   
     /* */
     strcpy(fileres,"r");
     strcat(fileres, optionfilefiname);
     strcat(fileres,".txt");    /* Other files have txt extension */
   
     /*---------arguments file --------*/
   
     if((ficpar=fopen(optionfile,"r"))==NULL)    {
       printf("Problem with optionfile %s\n",optionfile);
       fprintf(ficlog,"Problem with optionfile %s\n",optionfile);
       fflush(ficlog);
       goto end;
     }
   
   
   
     strcpy(filereso,"o");
     strcat(filereso,fileres);
     if((ficparo=fopen(filereso,"w"))==NULL) { /* opened on subdirectory */
       printf("Problem with Output resultfile: %s\n", filereso);
       fprintf(ficlog,"Problem with Output resultfile: %s\n", filereso);
       fflush(ficlog);
       goto end;
     }
   
     /* Reads comments: lines beginning with '#' */
     numlinepar=0;
     while((c=getc(ficpar))=='#' && c!= EOF){
       ungetc(c,ficpar);
       fgets(line, MAXLINE, ficpar);
       numlinepar++;
       puts(line);
       fputs(line,ficparo);
       fputs(line,ficlog);
     }
     ungetc(c,ficpar);
   
     fscanf(ficpar,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%lf stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d model=%s\n",title, datafile, &lastobs, &firstpass,&lastpass,&ftol, &stepm, &ncovcol, &nlstate,&ndeath, &maxwav, &mle, &weightopt,model);
     numlinepar++;
     printf("title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\nmodel=%s\n", title, datafile, lastobs, firstpass,lastpass,ftol, stepm, ncovcol, nlstate,ndeath, maxwav, mle, weightopt,model);
     fprintf(ficparo,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\nmodel=%s\n", title, datafile, lastobs, firstpass,lastpass,ftol,stepm,ncovcol,nlstate,ndeath,maxwav, mle, weightopt,model);
     fprintf(ficlog,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\nmodel=%s\n", title, datafile, lastobs, firstpass,lastpass,ftol,stepm,ncovcol,nlstate,ndeath,maxwav, mle, weightopt,model);
     fflush(ficlog);
     while((c=getc(ficpar))=='#' && c!= EOF){
       ungetc(c,ficpar);
       fgets(line, MAXLINE, ficpar);
       numlinepar++;
       puts(line);
       fputs(line,ficparo);
       fputs(line,ficlog);
     }
     ungetc(c,ficpar);
   
      
     covar=matrix(0,NCOVMAX,1,n); 
     cptcovn=0; /*Number of covariates, i.e. number of '+' in model statement*/
     if (strlen(model)>1) cptcovn=nbocc(model,'+')+1;
   
     ncovmodel=2+cptcovn; /*Number of variables = cptcovn + intercept + age */
     nvar=ncovmodel-1; /* Suppressing age as a basic covariate */
     npar= (nlstate+ndeath-1)*nlstate*ncovmodel; /* Number of parameters*/
   
     delti3= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
     delti=delti3[1][1];
     /*delti=vector(1,npar); *//* Scale of each paramater (output from hesscov)*/
     if(mle==-1){ /* Print a wizard for help writing covariance matrix */
       prwizard(ncovmodel, nlstate, ndeath, model, ficparo);
       printf(" You choose mle=-1, look at file %s for a template of covariance matrix \n",filereso);
       fprintf(ficlog," You choose mle=-1, look at file %s for a template of covariance matrix \n",filereso);
       free_ma3x(delti3,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel); 
       fclose (ficparo);
       fclose (ficlog);
       exit(0);
     }
     else if(mle==-3) {
       prwizard(ncovmodel, nlstate, ndeath, model, ficparo);
       printf(" You choose mle=-3, look at file %s for a template of covariance matrix \n",filereso);
       fprintf(ficlog," You choose mle=-3, look at file %s for a template of covariance matrix \n",filereso);
       param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
       matcov=matrix(1,npar,1,npar);
     }
     else{
       /* Read guess parameters */
       /* Reads comments: lines beginning with '#' */
       while((c=getc(ficpar))=='#' && c!= EOF){
         ungetc(c,ficpar);
         fgets(line, MAXLINE, ficpar);
         numlinepar++;
         puts(line);
         fputs(line,ficparo);
         fputs(line,ficlog);
       }
       ungetc(c,ficpar);
       
       param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
       for(i=1; i <=nlstate; i++){
         j=0;
         for(jj=1; jj <=nlstate+ndeath; jj++){
           if(jj==i) continue;
           j++;
           fscanf(ficpar,"%1d%1d",&i1,&j1);
           if ((i1 != i) && (j1 != j)){
             printf("Error in line parameters number %d, %1d%1d instead of %1d%1d \n",numlinepar, i,j, i1, j1);
             exit(1);
           }
           fprintf(ficparo,"%1d%1d",i1,j1);
           if(mle==1)
             printf("%1d%1d",i,j);
           fprintf(ficlog,"%1d%1d",i,j);
           for(k=1; k<=ncovmodel;k++){
             fscanf(ficpar," %lf",&param[i][j][k]);
             if(mle==1){
               printf(" %lf",param[i][j][k]);
               fprintf(ficlog," %lf",param[i][j][k]);
             }
             else
               fprintf(ficlog," %lf",param[i][j][k]);
             fprintf(ficparo," %lf",param[i][j][k]);
           }
           fscanf(ficpar,"\n");
           numlinepar++;
           if(mle==1)
             printf("\n");
           fprintf(ficlog,"\n");
           fprintf(ficparo,"\n");
         }
       }  
       fflush(ficlog);
   
   
       p=param[1][1];
       
       /* Reads comments: lines beginning with '#' */
       while((c=getc(ficpar))=='#' && c!= EOF){
         ungetc(c,ficpar);
         fgets(line, MAXLINE, ficpar);
         numlinepar++;
         puts(line);
         fputs(line,ficparo);
         fputs(line,ficlog);
       }
       ungetc(c,ficpar);
   
       for(i=1; i <=nlstate; i++){
         for(j=1; j <=nlstate+ndeath-1; j++){
           fscanf(ficpar,"%1d%1d",&i1,&j1);
           if ((i1-i)*(j1-j)!=0){
             printf("Error in line parameters number %d, %1d%1d instead of %1d%1d \n",numlinepar, i,j, i1, j1);
             exit(1);
           }
           printf("%1d%1d",i,j);
           fprintf(ficparo,"%1d%1d",i1,j1);
           fprintf(ficlog,"%1d%1d",i1,j1);
           for(k=1; k<=ncovmodel;k++){
             fscanf(ficpar,"%le",&delti3[i][j][k]);
             printf(" %le",delti3[i][j][k]);
             fprintf(ficparo," %le",delti3[i][j][k]);
             fprintf(ficlog," %le",delti3[i][j][k]);
           }
           fscanf(ficpar,"\n");
           numlinepar++;
           printf("\n");
           fprintf(ficparo,"\n");
           fprintf(ficlog,"\n");
         }
       }
       fflush(ficlog);
   
       delti=delti3[1][1];
   
   
       /* free_ma3x(delti3,1,nlstate,1,nlstate+ndeath-1,1,ncovmodel); */ /* Hasn't to to freed here otherwise delti is no more allocated */
     
       /* Reads comments: lines beginning with '#' */
       while((c=getc(ficpar))=='#' && c!= EOF){
         ungetc(c,ficpar);
         fgets(line, MAXLINE, ficpar);
         numlinepar++;
         puts(line);
         fputs(line,ficparo);
         fputs(line,ficlog);
       }
       ungetc(c,ficpar);
     
       matcov=matrix(1,npar,1,npar);
       for(i=1; i <=npar; i++){
         fscanf(ficpar,"%s",&str);
         if(mle==1)
           printf("%s",str);
         fprintf(ficlog,"%s",str);
         fprintf(ficparo,"%s",str);
         for(j=1; j <=i; j++){
           fscanf(ficpar," %le",&matcov[i][j]);
           if(mle==1){
             printf(" %.5le",matcov[i][j]);
           }
           fprintf(ficlog," %.5le",matcov[i][j]);
           fprintf(ficparo," %.5le",matcov[i][j]);
         }
         fscanf(ficpar,"\n");
         numlinepar++;
         if(mle==1)
           printf("\n");
         fprintf(ficlog,"\n");
         fprintf(ficparo,"\n");
       }
       for(i=1; i <=npar; i++)
         for(j=i+1;j<=npar;j++)
           matcov[i][j]=matcov[j][i];
       
       if(mle==1)
         printf("\n");
       fprintf(ficlog,"\n");
       
       fflush(ficlog);
       
       /*-------- Rewriting parameter file ----------*/
       strcpy(rfileres,"r");    /* "Rparameterfile */
       strcat(rfileres,optionfilefiname);    /* Parameter file first name*/
       strcat(rfileres,".");    /* */
       strcat(rfileres,optionfilext);    /* Other files have txt extension */
       if((ficres =fopen(rfileres,"w"))==NULL) {
         printf("Problem writing new parameter file: %s\n", fileres);goto end;
         fprintf(ficlog,"Problem writing new parameter file: %s\n", fileres);goto end;
       }
       fprintf(ficres,"#%s\n",version);
     }    /* End of mle != -3 */
   
     /*-------- data file ----------*/
     if((fic=fopen(datafile,"r"))==NULL)    {
       printf("Problem with datafile: %s\n", datafile);goto end;
       fprintf(ficlog,"Problem with datafile: %s\n", datafile);goto end;
     }
   
     n= lastobs;
     severity = vector(1,maxwav);
     outcome=imatrix(1,maxwav+1,1,n);
     num=lvector(1,n);
     moisnais=vector(1,n);
     annais=vector(1,n);
     moisdc=vector(1,n);
     andc=vector(1,n);
     agedc=vector(1,n);
     cod=ivector(1,n);
     weight=vector(1,n);
     for(i=1;i<=n;i++) weight[i]=1.0; /* Equal weights, 1 by default */
     mint=matrix(1,maxwav,1,n);
     anint=matrix(1,maxwav,1,n);
     s=imatrix(1,maxwav+1,1,n);
     tab=ivector(1,NCOVMAX);
     ncodemax=ivector(1,8);
   
     i=1;
     while (fgets(line, MAXLINE, fic) != NULL)    {
       if ((i >= firstobs) && (i <=lastobs)) {
           
         for (j=maxwav;j>=1;j--){
           cutv(stra, strb,line,' '); s[j][i]=atoi(strb); 
           strcpy(line,stra);
           cutv(stra, strb,line,'/'); anint[j][i]=(double)(atoi(strb)); strcpy(line,stra);
           cutv(stra, strb,line,' '); mint[j][i]=(double)(atoi(strb)); strcpy(line,stra);
         }
           
         cutv(stra, strb,line,'/'); andc[i]=(double)(atoi(strb)); strcpy(line,stra);
         cutv(stra, strb,line,' '); moisdc[i]=(double)(atoi(strb)); strcpy(line,stra);
   
         cutv(stra, strb,line,'/'); annais[i]=(double)(atoi(strb)); strcpy(line,stra);
         cutv(stra, strb,line,' '); moisnais[i]=(double)(atoi(strb)); strcpy(line,stra);
   
         cutv(stra, strb,line,' '); weight[i]=(double)(atoi(strb)); strcpy(line,stra);
         for (j=ncovcol;j>=1;j--){
           cutv(stra, strb,line,' '); covar[j][i]=(double)(atoi(strb)); strcpy(line,stra);
         } 
         lstra=strlen(stra);
         if(lstra > 9){ /* More than 2**32 or max of what printf can write with %ld */
           stratrunc = &(stra[lstra-9]);
           num[i]=atol(stratrunc);
         }
         else
           num[i]=atol(stra);
           
         /*if((s[2][i]==2) && (s[3][i]==-1)&&(s[4][i]==9)){
           printf("%ld %.lf %.lf %.lf %.lf/%.lf %.lf/%.lf %.lf/%.lf %d %.lf/%.lf %d %.lf/%.lf %d %.lf/%.lf %d\n",num[i],(covar[1][i]), (covar[2][i]),weight[i], (moisnais[i]), (annais[i]), (moisdc[i]), (andc[i]), (mint[1][i]), (anint[1][i]), (s[1][i]),  (mint[2][i]), (anint[2][i]), (s[2][i]),  (mint[3][i]), (anint[3][i]), (s[3][i]),  (mint[4][i]), (anint[4][i]), (s[4][i])); ij=ij+1;}*/
   
         i=i+1;
       }
     }
     /* printf("ii=%d", ij);
        scanf("%d",i);*/
     imx=i-1; /* Number of individuals */
   
     /* for (i=1; i<=imx; i++){
       if ((s[1][i]==3) && (s[2][i]==2)) s[2][i]=3;
       if ((s[2][i]==3) && (s[3][i]==2)) s[3][i]=3;
       if ((s[3][i]==3) && (s[4][i]==2)) s[4][i]=3;
       }*/
      /*  for (i=1; i<=imx; i++){
        if (s[4][i]==9)  s[4][i]=-1; 
        printf("%ld %.lf %.lf %.lf %.lf/%.lf %.lf/%.lf %.lf/%.lf %d %.lf/%.lf %d %.lf/%.lf %d %.lf/%.lf %d\n",num[i],(covar[1][i]), (covar[2][i]), (weight[i]), (moisnais[i]), (annais[i]), (moisdc[i]), (andc[i]), (mint[1][i]), (anint[1][i]), (s[1][i]),  (mint[2][i]), (anint[2][i]), (s[2][i]),  (mint[3][i]), (anint[3][i]), (s[3][i]),  (mint[4][i]), (anint[4][i]), (s[4][i]));}*/
     
    for (i=1; i<=imx; i++)
    
      /*if ((s[3][i]==3) ||  (s[4][i]==3)) weight[i]=0.08;
        else weight[i]=1;*/
   
     /* Calculation of the number of parameter from char model*/
     Tvar=ivector(1,15); /* stores the number n of the covariates in Vm+Vn at 1 and m at 2 */
     Tprod=ivector(1,15); 
     Tvaraff=ivector(1,15); 
     Tvard=imatrix(1,15,1,2);
     Tage=ivector(1,15);      
      
     if (strlen(model) >1){ /* If there is at least 1 covariate */
       j=0, j1=0, k1=1, k2=1;
       j=nbocc(model,'+'); /* j=Number of '+' */
       j1=nbocc(model,'*'); /* j1=Number of '*' */
       cptcovn=j+1; 
       cptcovprod=j1; /*Number of products */
       
       strcpy(modelsav,model); 
       if ((strcmp(model,"age")==0) || (strcmp(model,"age*age")==0)){
         printf("Error. Non available option model=%s ",model);
         fprintf(ficlog,"Error. Non available option model=%s ",model);
         goto end;
       }
       
       /* This loop fills the array Tvar from the string 'model'.*/
   
       for(i=(j+1); i>=1;i--){
         cutv(stra,strb,modelsav,'+'); /* keeps in strb after the last + */ 
         if (nbocc(modelsav,'+')==0) strcpy(strb,modelsav); /* and analyzes it */
         /*      printf("i=%d a=%s b=%s sav=%s\n",i, stra,strb,modelsav);*/
         /*scanf("%d",i);*/
         if (strchr(strb,'*')) {  /* Model includes a product */
           cutv(strd,strc,strb,'*'); /* strd*strc  Vm*Vn (if not *age)*/
           if (strcmp(strc,"age")==0) { /* Vn*age */
             cptcovprod--;
             cutv(strb,stre,strd,'V');
             Tvar[i]=atoi(stre); /* computes n in Vn and stores in Tvar*/
             cptcovage++;
               Tage[cptcovage]=i;
               /*printf("stre=%s ", stre);*/
           }
           else if (strcmp(strd,"age")==0) { /* or age*Vn */
             cptcovprod--;
             cutv(strb,stre,strc,'V');
             Tvar[i]=atoi(stre);
             cptcovage++;
             Tage[cptcovage]=i;
           }
           else {  /* Age is not in the model */
             cutv(strb,stre,strc,'V'); /* strc= Vn, stre is n*/
             Tvar[i]=ncovcol+k1;
             cutv(strb,strc,strd,'V'); /* strd was Vm, strc is m */
             Tprod[k1]=i;
             Tvard[k1][1]=atoi(strc); /* m*/
             Tvard[k1][2]=atoi(stre); /* n */
             Tvar[cptcovn+k2]=Tvard[k1][1];
             Tvar[cptcovn+k2+1]=Tvard[k1][2]; 
             for (k=1; k<=lastobs;k++) 
               covar[ncovcol+k1][k]=covar[atoi(stre)][k]*covar[atoi(strc)][k];
             k1++;
             k2=k2+2;
           }
         }
         else { /* no more sum */
           /*printf("d=%s c=%s b=%s\n", strd,strc,strb);*/
          /*  scanf("%d",i);*/
         cutv(strd,strc,strb,'V');
         Tvar[i]=atoi(strc);
         }
         strcpy(modelsav,stra);  
         /*printf("a=%s b=%s sav=%s\n", stra,strb,modelsav);
           scanf("%d",i);*/
       } /* end of loop + */
     } /* end model */
     
     /*The number n of Vn is stored in Tvar. cptcovage =number of age covariate. Tage gives the position of age. cptcovprod= number of products.
       If model=V1+V1*age then Tvar[1]=1 Tvar[2]=1 cptcovage=1 Tage[1]=2 cptcovprod=0*/
   
     /* printf("tvar1=%d tvar2=%d tvar3=%d cptcovage=%d Tage=%d",Tvar[1],Tvar[2],Tvar[3],cptcovage,Tage[1]);
     printf("cptcovprod=%d ", cptcovprod);
     fprintf(ficlog,"cptcovprod=%d ", cptcovprod);
   
     scanf("%d ",i);
     fclose(fic);*/
   
       /*  if(mle==1){*/
     if (weightopt != 1) { /* Maximisation without weights*/
       for(i=1;i<=n;i++) weight[i]=1.0;
     }
       /*-calculation of age at interview from date of interview and age at death -*/
     agev=matrix(1,maxwav,1,imx);
   
     for (i=1; i<=imx; i++) {
       for(m=2; (m<= maxwav); m++) {
         if (((int)mint[m][i]== 99) && (s[m][i] <= nlstate)){
           anint[m][i]=9999;
           s[m][i]=-1;
         }
         if((int)moisdc[i]==99 && (int)andc[i]==9999 && s[m][i]>nlstate){
           nberr++;
           printf("Error! Date of death (month %2d and year %4d) of individual %ld on line %d was unknown, you must set an arbitrary year of death or he/she is skipped and results are biased\n",(int)moisdc[i],(int)andc[i],num[i],i);
           fprintf(ficlog,"Error! Date of death (month %2d and year %4d) of individual %ld on line %d was unknown, you must set an arbitrary year of death or he/she is skipped and results are biased\n",(int)moisdc[i],(int)andc[i],num[i],i);
           s[m][i]=-1;
         }
         if((int)moisdc[i]==99 && (int)andc[i]!=9999 && s[m][i]>nlstate){
           nberr++;
           printf("Error! Month of death of individual %ld on line %d was unknown %2d, you should set it otherwise the information on the death is skipped and results are biased.\n",num[i],i,(int)moisdc[i]); 
           fprintf(ficlog,"Error! Month of death of individual %ld on line %d was unknown %f, you should set it otherwise the information on the death is skipped and results are biased.\n",num[i],i,moisdc[i]); 
           s[m][i]=-1; /* We prefer to skip it (and to skip it in version 0.8a1 too */
         }
       }
     }
   
     for (i=1; i<=imx; i++)  {
       agedc[i]=(moisdc[i]/12.+andc[i])-(moisnais[i]/12.+annais[i]);
       for(m=firstpass; (m<= lastpass); m++){
         if(s[m][i] >0){
           if (s[m][i] >= nlstate+1) {
             if(agedc[i]>0)
               if((int)moisdc[i]!=99 && (int)andc[i]!=9999)
                 agev[m][i]=agedc[i];
             /*if(moisdc[i]==99 && andc[i]==9999) s[m][i]=-1;*/
               else {
                 if ((int)andc[i]!=9999){
                   nbwarn++;
                   printf("Warning negative age at death: %ld line:%d\n",num[i],i);
                   fprintf(ficlog,"Warning negative age at death: %ld line:%d\n",num[i],i);
                   agev[m][i]=-1;
                 }
               }
           }
           else if(s[m][i] !=9){ /* Standard case, age in fractional
                                    years but with the precision of a
                                    month */
             agev[m][i]=(mint[m][i]/12.+1./24.+anint[m][i])-(moisnais[i]/12.+1./24.+annais[i]);
             if((int)mint[m][i]==99 || (int)anint[m][i]==9999)
               agev[m][i]=1;
             else if(agev[m][i] <agemin){ 
               agemin=agev[m][i];
               /*printf(" Min anint[%d][%d]=%.2f annais[%d]=%.2f, agemin=%.2f\n",m,i,anint[m][i], i,annais[i], agemin);*/
             }
             else if(agev[m][i] >agemax){
               agemax=agev[m][i];
               /* printf(" anint[%d][%d]=%.0f annais[%d]=%.0f, agemax=%.0f\n",m,i,anint[m][i], i,annais[i], agemax);*/
             }
             /*agev[m][i]=anint[m][i]-annais[i];*/
             /*     agev[m][i] = age[i]+2*m;*/
           }
           else { /* =9 */
             agev[m][i]=1;
             s[m][i]=-1;
           }
         }
         else /*= 0 Unknown */
           agev[m][i]=1;
       }
       
     }
     for (i=1; i<=imx; i++)  {
       for(m=firstpass; (m<=lastpass); m++){
         if (s[m][i] > (nlstate+ndeath)) {
           nberr++;
           printf("Error: on wave %d of individual %d status %d > (nlstate+ndeath)=(%d+%d)=%d\n",m,i,s[m][i],nlstate, ndeath, nlstate+ndeath);     
           fprintf(ficlog,"Error: on wave %d of individual %d status %d > (nlstate+ndeath)=(%d+%d)=%d\n",m,i,s[m][i],nlstate, ndeath, nlstate+ndeath);     
           goto end;
         }
       }
     }
   
     /*for (i=1; i<=imx; i++){
     for (m=firstpass; (m<lastpass); m++){
        printf("%ld %d %.lf %d %d\n", num[i],(covar[1][i]),agev[m][i],s[m][i],s[m+1][i]);
   }
   
   }*/
   
   
     printf("Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, agemin, agemax);
     fprintf(ficlog,"Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, agemin, agemax); 
   
     agegomp=(int)agemin;
     free_vector(severity,1,maxwav);
     free_imatrix(outcome,1,maxwav+1,1,n);
     free_vector(moisnais,1,n);
     free_vector(annais,1,n);
     /* free_matrix(mint,1,maxwav,1,n);
        free_matrix(anint,1,maxwav,1,n);*/
     free_vector(moisdc,1,n);
     free_vector(andc,1,n);
   
      
     wav=ivector(1,imx);
     dh=imatrix(1,lastpass-firstpass+1,1,imx);
     bh=imatrix(1,lastpass-firstpass+1,1,imx);
     mw=imatrix(1,lastpass-firstpass+1,1,imx);
      
     /* Concatenates waves */
     concatwav(wav, dh, bh, mw, s, agedc, agev,  firstpass, lastpass, imx, nlstate, stepm);
   
     /* Routine tricode is to calculate cptcoveff (real number of unique covariates) and to associate covariable number and modality */
   
     Tcode=ivector(1,100);
     nbcode=imatrix(0,NCOVMAX,0,NCOVMAX); 
     ncodemax[1]=1;
     if (cptcovn > 0) tricode(Tvar,nbcode,imx);
         
     codtab=imatrix(1,100,1,10); /* Cross tabulation to get the order of 
                                    the estimations*/
     h=0;
     m=pow(2,cptcoveff);
    
     for(k=1;k<=cptcoveff; k++){
       for(i=1; i <=(m/pow(2,k));i++){
         for(j=1; j <= ncodemax[k]; j++){
           for(cpt=1; cpt <=(m/pow(2,cptcoveff+1-k)); cpt++){
             h++;
             if (h>m) h=1;codtab[h][k]=j;codtab[h][Tvar[k]]=j;
             /*  printf("h=%d k=%d j=%d codtab[h][k]=%d tvar[k]=%d \n",h, k,j,codtab[h][k],Tvar[k]);*/
           } 
         }
       }
     } 
     /* printf("codtab[1][2]=%d codtab[2][2]=%d",codtab[1][2],codtab[2][2]); 
        codtab[1][2]=1;codtab[2][2]=2; */
     /* for(i=1; i <=m ;i++){ 
        for(k=1; k <=cptcovn; k++){
        printf("i=%d k=%d %d %d ",i,k,codtab[i][k], cptcoveff);
        }
        printf("\n");
        }
        scanf("%d",i);*/
       
     /*------------ gnuplot -------------*/
     strcpy(optionfilegnuplot,optionfilefiname);
     if(mle==-3)
       strcat(optionfilegnuplot,"-mort");
     strcat(optionfilegnuplot,".gp");
   
     if((ficgp=fopen(optionfilegnuplot,"w"))==NULL) {
       printf("Problem with file %s",optionfilegnuplot);
     }
     else{
       fprintf(ficgp,"\n# %s\n", version); 
       fprintf(ficgp,"# %s\n", optionfilegnuplot); 
       fprintf(ficgp,"set missing 'NaNq'\n");
     }
     /*  fclose(ficgp);*/
     /*--------- index.htm --------*/
   
     strcpy(optionfilehtm,optionfilefiname); /* Main html file */
     if(mle==-3)
       strcat(optionfilehtm,"-mort");
     strcat(optionfilehtm,".htm");
     if((fichtm=fopen(optionfilehtm,"w"))==NULL)    {
       printf("Problem with %s \n",optionfilehtm), exit(0);
     }
   
     strcpy(optionfilehtmcov,optionfilefiname); /* Only for matrix of covariance */
     strcat(optionfilehtmcov,"-cov.htm");
     if((fichtmcov=fopen(optionfilehtmcov,"w"))==NULL)    {
       printf("Problem with %s \n",optionfilehtmcov), exit(0);
     }
     else{
     fprintf(fichtmcov,"<body>\n<title>IMaCh Cov %s</title>\n <font size=\"2\">%s <br> %s</font> \
   <hr size=\"2\" color=\"#EC5E5E\"> \n\
   Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=%s<br>\n",\
             fileres,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);
     }
   
     fprintf(fichtm,"<body>\n<title>IMaCh %s</title>\n <font size=\"2\">%s <br> %s</font> \
   <hr size=\"2\" color=\"#EC5E5E\"> \n\
   Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=%s<br>\n\
   \n\
   <hr  size=\"2\" color=\"#EC5E5E\">\
    <ul><li><h4>Parameter files</h4>\n\
    - Copy of the parameter file: <a href=\"o%s\">o%s</a><br>\n\
    - Log file of the run: <a href=\"%s\">%s</a><br>\n\
    - Gnuplot file name: <a href=\"%s\">%s</a><br>\n\
    - Date and time at start: %s</ul>\n",\
             fileres,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model,\
             fileres,fileres,\
             filelog,filelog,optionfilegnuplot,optionfilegnuplot,strstart);
     fflush(fichtm);
   
     strcpy(pathr,path);
     strcat(pathr,optionfilefiname);
     chdir(optionfilefiname); /* Move to directory named optionfile */
     
     /* Calculates basic frequencies. Computes observed prevalence at single age
        and prints on file fileres'p'. */
     freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint);
   
     fprintf(fichtm,"\n");
     fprintf(fichtm,"<br>Total number of observations=%d <br>\n\
   Youngest age at first (selected) pass %.2f, oldest age %.2f<br>\n\
   Interval (in months) between two waves: Min=%d Max=%d Mean=%.2lf<br>\n",\
             imx,agemin,agemax,jmin,jmax,jmean);
     pmmij= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
       oldms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
       newms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
       savms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
       oldm=oldms; newm=newms; savm=savms; /* Keeps fixed addresses to free */
       
      
     /* For Powell, parameters are in a vector p[] starting at p[1]
        so we point p on param[1][1] so that p[1] maps on param[1][1][1] */
     p=param[1][1]; /* *(*(*(param +1)+1)+0) */
   
     globpr=0; /* To get the number ipmx of contributions and the sum of weights*/
     if (mle==-3){
       ximort=matrix(1,NDIM,1,NDIM);
       cens=ivector(1,n);
       ageexmed=vector(1,n);
       agecens=vector(1,n);
       dcwave=ivector(1,n);
    
       for (i=1; i<=imx; i++){
         dcwave[i]=-1;
         for (j=1; j<=lastpass; j++)
           if (s[j][i]>nlstate) {
             dcwave[i]=j;
             /*    printf("i=%d j=%d s=%d dcwave=%d\n",i,j, s[j][i],dcwave[i]);*/
             break;
           }
       }
   
       for (i=1; i<=imx; i++) {
         if (wav[i]>0){
           ageexmed[i]=agev[mw[1][i]][i];
           j=wav[i];agecens[i]=1.; 
           if (ageexmed[i]>1 & wav[i]>0) agecens[i]=agev[mw[j][i]][i];
           cens[i]=1;
           
           if (ageexmed[i]<1) cens[i]=-1;
           if (agedc[i]< AGESUP & agedc[i]>1 & dcwave[i]>firstpass & dcwave[i]<=lastpass) cens[i]=0 ;
         }
         else cens[i]=-1;
       }
       
       for (i=1;i<=NDIM;i++) {
         for (j=1;j<=NDIM;j++)
           ximort[i][j]=(i == j ? 1.0 : 0.0);
       }
   
       p[1]=0.1; p[2]=0.1;
       /*printf("%lf %lf", p[1], p[2]);*/
       
       
     printf("Powell\n");  fprintf(ficlog,"Powell\n");
     strcpy(filerespow,"pow-mort"); 
     strcat(filerespow,fileres);
     if((ficrespow=fopen(filerespow,"w"))==NULL) {
       printf("Problem with resultfile: %s\n", filerespow);
       fprintf(ficlog,"Problem with resultfile: %s\n", filerespow);
     }
     fprintf(ficrespow,"# Powell\n# iter -2*LL");
     /*  for (i=1;i<=nlstate;i++)
       for(j=1;j<=nlstate+ndeath;j++)
         if(j!=i)fprintf(ficrespow," p%1d%1d",i,j);
     */
     fprintf(ficrespow,"\n");
   
       powell(p,ximort,NDIM,ftol,&iter,&fret,gompertz);
       fclose(ficrespow);
       
       hesscov(matcov, p, NDIM,delti, 1e-4, gompertz); 
   
       for(i=1; i <=NDIM; i++)
         for(j=i+1;j<=NDIM;j++)
           matcov[i][j]=matcov[j][i];
       
       printf("\nCovariance matrix\n ");
       for(i=1; i <=NDIM; i++) {
         for(j=1;j<=NDIM;j++){ 
           printf("%f ",matcov[i][j]);
         }
         printf("\n ");
       }
       
       printf("iter=%d MLE=%f Eq=%lf*exp(%lf*(age-%d))\n",iter,-gompertz(p),p[1],p[2],agegomp);
       for (i=1;i<=NDIM;i++) 
         printf("%f [%f ; %f]\n",p[i],p[i]-2*sqrt(matcov[i][i]),p[i]+2*sqrt(matcov[i][i]));
       replace_back_to_slash(pathc,path); /* Even gnuplot wants a / */
       printinggnuplotmort(fileres, optionfilefiname,ageminpar,agemaxpar,fage, pathc,p);
       
       printinghtmlmort(fileres,title,datafile, firstpass, lastpass, \
                        stepm, weightopt,\
                        model,imx,p,matcov);
     } /* Endof if mle==-3 */
   
     else{ /* For mle >=1 */
     
       likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
       printf("First Likeli=%12.6f ipmx=%ld sw=%12.6f",fretone,ipmx,sw);
       for (k=1; k<=npar;k++)
         printf(" %d %8.5f",k,p[k]);
       printf("\n");
       globpr=1; /* to print the contributions */
       likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
       printf("Second Likeli=%12.6f ipmx=%ld sw=%12.6f",fretone,ipmx,sw);
       for (k=1; k<=npar;k++)
         printf(" %d %8.5f",k,p[k]);
       printf("\n");
       if(mle>=1){ /* Could be 1 or 2 */
         mlikeli(ficres,p, npar, ncovmodel, nlstate, ftol, func);
       }
       
       /*--------- results files --------------*/
       fprintf(ficres,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle= 0 weight=%d\nmodel=%s\n", title, datafile, lastobs, firstpass,lastpass,ftol, stepm, ncovcol, nlstate, ndeath, maxwav, weightopt,model);
       
       
       fprintf(ficres,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
       printf("# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
       fprintf(ficlog,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
       for(i=1,jk=1; i <=nlstate; i++){
         for(k=1; k <=(nlstate+ndeath); k++){
           if (k != i) {
             printf("%d%d ",i,k);
             fprintf(ficlog,"%d%d ",i,k);
             fprintf(ficres,"%1d%1d ",i,k);
             for(j=1; j <=ncovmodel; j++){
               printf("%f ",p[jk]);
               fprintf(ficlog,"%f ",p[jk]);
               fprintf(ficres,"%f ",p[jk]);
               jk++; 
             }
             printf("\n");
             fprintf(ficlog,"\n");
             fprintf(ficres,"\n");
           }
         }
       }
       if(mle!=0){
         /* Computing hessian and covariance matrix */
         ftolhess=ftol; /* Usually correct */
         hesscov(matcov, p, npar, delti, ftolhess, func);
       }
       fprintf(ficres,"# Scales (for hessian or gradient estimation)\n");
       printf("# Scales (for hessian or gradient estimation)\n");
       fprintf(ficlog,"# Scales (for hessian or gradient estimation)\n");
       for(i=1,jk=1; i <=nlstate; i++){
         for(j=1; j <=nlstate+ndeath; j++){
           if (j!=i) {
             fprintf(ficres,"%1d%1d",i,j);
             printf("%1d%1d",i,j);
             fprintf(ficlog,"%1d%1d",i,j);
             for(k=1; k<=ncovmodel;k++){
               printf(" %.5e",delti[jk]);
               fprintf(ficlog," %.5e",delti[jk]);
               fprintf(ficres," %.5e",delti[jk]);
               jk++;
             }
             printf("\n");
             fprintf(ficlog,"\n");
             fprintf(ficres,"\n");
           }
         }
       }
       
       fprintf(ficres,"# Covariance matrix \n# 121 Var(a12)\n# 122 Cov(b12,a12) Var(b12)\n#   ...\n# 232 Cov(b23,a12)  Cov(b23,b12) ... Var (b23)\n");
       if(mle>=1)
         printf("# Covariance matrix \n# 121 Var(a12)\n# 122 Cov(b12,a12) Var(b12)\n#   ...\n# 232 Cov(b23,a12)  Cov(b23,b12) ... Var (b23)\n");
       fprintf(ficlog,"# Covariance matrix \n# 121 Var(a12)\n# 122 Cov(b12,a12) Var(b12)\n#   ...\n# 232 Cov(b23,a12)  Cov(b23,b12) ... Var (b23)\n");
       /* # 121 Var(a12)\n\ */
       /* # 122 Cov(b12,a12) Var(b12)\n\ */
       /* # 131 Cov(a13,a12) Cov(a13,b12, Var(a13)\n\ */
       /* # 132 Cov(b13,a12) Cov(b13,b12, Cov(b13,a13) Var(b13)\n\ */
       /* # 212 Cov(a21,a12) Cov(a21,b12, Cov(a21,a13) Cov(a21,b13) Var(a21)\n\ */
       /* # 212 Cov(b21,a12) Cov(b21,b12, Cov(b21,a13) Cov(b21,b13) Cov(b21,a21) Var(b21)\n\ */
       /* # 232 Cov(a23,a12) Cov(a23,b12, Cov(a23,a13) Cov(a23,b13) Cov(a23,a21) Cov(a23,b21) Var(a23)\n\ */
       /* # 232 Cov(b23,a12) Cov(b23,b12) ... Var (b23)\n" */
       
       
       /* Just to have a covariance matrix which will be more understandable
          even is we still don't want to manage dictionary of variables
       */
       for(itimes=1;itimes<=2;itimes++){
         jj=0;
         for(i=1; i <=nlstate; i++){
           for(j=1; j <=nlstate+ndeath; j++){
             if(j==i) continue;
             for(k=1; k<=ncovmodel;k++){
               jj++;
               ca[0]= k+'a'-1;ca[1]='\0';
               if(itimes==1){
                 if(mle>=1)
                   printf("#%1d%1d%d",i,j,k);
                 fprintf(ficlog,"#%1d%1d%d",i,j,k);
                 fprintf(ficres,"#%1d%1d%d",i,j,k);
               }else{
                 if(mle>=1)
                   printf("%1d%1d%d",i,j,k);
                 fprintf(ficlog,"%1d%1d%d",i,j,k);
                 fprintf(ficres,"%1d%1d%d",i,j,k);
               }
               ll=0;
               for(li=1;li <=nlstate; li++){
                 for(lj=1;lj <=nlstate+ndeath; lj++){
                   if(lj==li) continue;
                   for(lk=1;lk<=ncovmodel;lk++){
                     ll++;
                     if(ll<=jj){
                       cb[0]= lk +'a'-1;cb[1]='\0';
                       if(ll<jj){
                         if(itimes==1){
                           if(mle>=1)
                             printf(" Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                           fprintf(ficlog," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                           fprintf(ficres," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                         }else{
                           if(mle>=1)
                             printf(" %.5e",matcov[jj][ll]); 
                           fprintf(ficlog," %.5e",matcov[jj][ll]); 
                           fprintf(ficres," %.5e",matcov[jj][ll]); 
                         }
                       }else{
                         if(itimes==1){
                           if(mle>=1)
                             printf(" Var(%s%1d%1d)",ca,i,j);
                           fprintf(ficlog," Var(%s%1d%1d)",ca,i,j);
                           fprintf(ficres," Var(%s%1d%1d)",ca,i,j);
                         }else{
                           if(mle>=1)
                             printf(" %.5e",matcov[jj][ll]); 
                           fprintf(ficlog," %.5e",matcov[jj][ll]); 
                           fprintf(ficres," %.5e",matcov[jj][ll]); 
                         }
                       }
                     }
                   } /* end lk */
                 } /* end lj */
               } /* end li */
               if(mle>=1)
                 printf("\n");
               fprintf(ficlog,"\n");
               fprintf(ficres,"\n");
               numlinepar++;
             } /* end k*/
           } /*end j */
         } /* end i */
       } /* end itimes */
       
       fflush(ficlog);
       fflush(ficres);
       
       while((c=getc(ficpar))=='#' && c!= EOF){
         ungetc(c,ficpar);
         fgets(line, MAXLINE, ficpar);
         puts(line);
         fputs(line,ficparo);
       }
       ungetc(c,ficpar);
       
       estepm=0;
       fscanf(ficpar,"agemin=%lf agemax=%lf bage=%lf fage=%lf estepm=%d\n",&ageminpar,&agemaxpar, &bage, &fage, &estepm);
       if (estepm==0 || estepm < stepm) estepm=stepm;
       if (fage <= 2) {
         bage = ageminpar;
         fage = agemaxpar;
       }
       
       fprintf(ficres,"# agemin agemax for life expectancy, bage fage (if mle==0 ie no data nor Max likelihood).\n");
       fprintf(ficres,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d\n",ageminpar,agemaxpar,bage,fage, estepm);
       fprintf(ficparo,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d\n",ageminpar,agemaxpar,bage,fage, estepm);
       
       while((c=getc(ficpar))=='#' && c!= EOF){
         ungetc(c,ficpar);
         fgets(line, MAXLINE, ficpar);
         puts(line);
         fputs(line,ficparo);
       }
       ungetc(c,ficpar);
       
       fscanf(ficpar,"begin-prev-date=%lf/%lf/%lf end-prev-date=%lf/%lf/%lf mov_average=%d\n",&jprev1, &mprev1,&anprev1,&jprev2, &mprev2,&anprev2,&mobilav);
       fprintf(ficparo,"begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf mov_average=%d\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,mobilav);
       fprintf(ficres,"begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf mov_average=%d\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,mobilav);
       printf("begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf mov_average=%d\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,mobilav);
       fprintf(ficlog,"begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf mov_average=%d\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,mobilav);
       
       while((c=getc(ficpar))=='#' && c!= EOF){
         ungetc(c,ficpar);
         fgets(line, MAXLINE, ficpar);
         puts(line);
         fputs(line,ficparo);
       }
       ungetc(c,ficpar);
       
       
       dateprev1=anprev1+(mprev1-1)/12.+(jprev1-1)/365.;
       dateprev2=anprev2+(mprev2-1)/12.+(jprev2-1)/365.;
       
       fscanf(ficpar,"pop_based=%d\n",&popbased);
       fprintf(ficparo,"pop_based=%d\n",popbased);   
       fprintf(ficres,"pop_based=%d\n",popbased);   
       
       while((c=getc(ficpar))=='#' && c!= EOF){
         ungetc(c,ficpar);
         fgets(line, MAXLINE, ficpar);
         puts(line);
         fputs(line,ficparo);
       }
       ungetc(c,ficpar);
       
       fscanf(ficpar,"prevforecast=%d starting-proj-date=%lf/%lf/%lf final-proj-date=%lf/%lf/%lf mobil_average=%d\n",&prevfcast,&jproj1,&mproj1,&anproj1,&jproj2,&mproj2,&anproj2,&mobilavproj);
       fprintf(ficparo,"prevforecast=%d starting-proj-date=%.lf/%.lf/%.lf final-proj-date=%.lf/%.lf/%.lf mobil_average=%d\n",prevfcast,jproj1,mproj1,anproj1,jproj2,mproj2,anproj2,mobilavproj);
       printf("prevforecast=%d starting-proj-date=%.lf/%.lf/%.lf final-proj-date=%.lf/%.lf/%.lf mobil_average=%d\n",prevfcast,jproj1,mproj1,anproj1,jproj2,mproj2,anproj2,mobilavproj);
       fprintf(ficlog,"prevforecast=%d starting-proj-date=%.lf/%.lf/%.lf final-proj-date=%.lf/%.lf/%.lf mobil_average=%d\n",prevfcast,jproj1,mproj1,anproj1,jproj2,mproj2,anproj2,mobilavproj);
       fprintf(ficres,"prevforecast=%d starting-proj-date=%.lf/%.lf/%.lf final-proj-date=%.lf/%.lf/%.lf mobil_average=%d\n",prevfcast,jproj1,mproj1,anproj1,jproj2,mproj2,anproj2,mobilavproj);
       /* day and month of proj2 are not used but only year anproj2.*/
       
       
       
       /*  freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint);*/
       /*,dateprev1,dateprev2,jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);*/
       
       replace_back_to_slash(pathc,path); /* Even gnuplot wants a / */
       printinggnuplot(fileres, optionfilefiname,ageminpar,agemaxpar,fage, pathc,p);
       
       printinghtml(fileres,title,datafile, firstpass, lastpass, stepm, weightopt,\
                    model,imx,jmin,jmax,jmean,rfileres,popforecast,estepm,\
                    jprev1,mprev1,anprev1,jprev2,mprev2,anprev2);
         
      /*------------ free_vector  -------------*/
      /*  chdir(path); */
    
       free_ivector(wav,1,imx);
       free_imatrix(dh,1,lastpass-firstpass+1,1,imx);
       free_imatrix(bh,1,lastpass-firstpass+1,1,imx);
       free_imatrix(mw,1,lastpass-firstpass+1,1,imx);   
       free_lvector(num,1,n);
       free_vector(agedc,1,n);
       /*free_matrix(covar,0,NCOVMAX,1,n);*/
       /*free_matrix(covar,1,NCOVMAX,1,n);*/
       fclose(ficparo);
       fclose(ficres);
   
   
       /*--------------- Prevalence limit  (stable prevalence) --------------*/
     
       strcpy(filerespl,"pl");
       strcat(filerespl,fileres);
       if((ficrespl=fopen(filerespl,"w"))==NULL) {
         printf("Problem with stable prevalence resultfile: %s\n", filerespl);goto end;
         fprintf(ficlog,"Problem with stable prevalence resultfile: %s\n", filerespl);goto end;
       }
       printf("Computing stable prevalence: result on file '%s' \n", filerespl);
       fprintf(ficlog,"Computing stable prevalence: result on file '%s' \n", filerespl);
       fprintf(ficrespl,"#Stable prevalence \n");
       fprintf(ficrespl,"#Age ");
       for(i=1; i<=nlstate;i++) fprintf(ficrespl,"%d-%d ",i,i);
       fprintf(ficrespl,"\n");
     
       prlim=matrix(1,nlstate,1,nlstate);
   
       agebase=ageminpar;
       agelim=agemaxpar;
       ftolpl=1.e-10;
       i1=cptcoveff;
       if (cptcovn < 1){i1=1;}
   
       for(cptcov=1,k=0;cptcov<=i1;cptcov++){
         for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){
           k=k+1;
           /*printf("cptcov=%d cptcod=%d codtab=%d nbcode=%d\n",cptcov, cptcod,Tcode[cptcode],codtab[cptcod][cptcov]);*/
           fprintf(ficrespl,"\n#******");
           printf("\n#******");
           fprintf(ficlog,"\n#******");
           for(j=1;j<=cptcoveff;j++) {
             fprintf(ficrespl," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
             printf(" V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
             fprintf(ficlog," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
           }
           fprintf(ficrespl,"******\n");
           printf("******\n");
           fprintf(ficlog,"******\n");
           
           for (age=agebase; age<=agelim; age++){
             prevalim(prlim, nlstate, p, age, oldm, savm,ftolpl,k);
             fprintf(ficrespl,"%.0f ",age );
             for(j=1;j<=cptcoveff;j++)
               fprintf(ficrespl,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
             for(i=1; i<=nlstate;i++)
               fprintf(ficrespl," %.5f", prlim[i][i]);
             fprintf(ficrespl,"\n");
           }
         }
       }
       fclose(ficrespl);
   
       /*------------- h Pij x at various ages ------------*/
     
       strcpy(filerespij,"pij");  strcat(filerespij,fileres);
       if((ficrespij=fopen(filerespij,"w"))==NULL) {
         printf("Problem with Pij resultfile: %s\n", filerespij);goto end;
         fprintf(ficlog,"Problem with Pij resultfile: %s\n", filerespij);goto end;
       }
       printf("Computing pij: result on file '%s' \n", filerespij);
       fprintf(ficlog,"Computing pij: result on file '%s' \n", filerespij);
     
       stepsize=(int) (stepm+YEARM-1)/YEARM;
       /*if (stepm<=24) stepsize=2;*/
   
       agelim=AGESUP;
       hstepm=stepsize*YEARM; /* Every year of age */
       hstepm=hstepm/stepm; /* Typically 2 years, = 2/6 months = 4 */ 
   
       /* hstepm=1;   aff par mois*/
   
       fprintf(ficrespij,"#****** h Pij x Probability to be in state j at age x+h being in i at x ");
       for(cptcov=1,k=0;cptcov<=i1;cptcov++){
         for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){
           k=k+1;
           fprintf(ficrespij,"\n#****** ");
           for(j=1;j<=cptcoveff;j++) 
             fprintf(ficrespij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
           fprintf(ficrespij,"******\n");
           
           for (agedeb=fage; agedeb>=bage; agedeb--){ /* If stepm=6 months */
             nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
             nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
   
             /*      nhstepm=nhstepm*YEARM; aff par mois*/
   
             p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
             oldm=oldms;savm=savms;
             hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);  
             fprintf(ficrespij,"# Cov Agex agex+h hpijx with i,j=");
             for(i=1; i<=nlstate;i++)
               for(j=1; j<=nlstate+ndeath;j++)
                 fprintf(ficrespij," %1d-%1d",i,j);
             fprintf(ficrespij,"\n");
             for (h=0; h<=nhstepm; h++){
               fprintf(ficrespij,"%d %3.f %3.f",k,agedeb, agedeb+ h*hstepm/YEARM*stepm );
               for(i=1; i<=nlstate;i++)
                 for(j=1; j<=nlstate+ndeath;j++)
                   fprintf(ficrespij," %.5f", p3mat[i][j][h]);
               fprintf(ficrespij,"\n");
             }
             free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
             fprintf(ficrespij,"\n");
           }
         }
       }
   
       varprob(optionfilefiname, matcov, p, delti, nlstate, bage, fage,k,Tvar,nbcode, ncodemax);
   
       fclose(ficrespij);
   
       probs= ma3x(1,AGESUP,1,NCOVMAX, 1,NCOVMAX);
       for(i=1;i<=AGESUP;i++)
         for(j=1;j<=NCOVMAX;j++)
           for(k=1;k<=NCOVMAX;k++)
             probs[i][j][k]=0.;
   
       /*---------- Forecasting ------------------*/
       /*if((stepm == 1) && (strcmp(model,".")==0)){*/
       if(prevfcast==1){
         /*    if(stepm ==1){*/
         prevforecast(fileres, anproj1, mproj1, jproj1, agemin, agemax, dateprev1, dateprev2, mobilavproj, bage, fage, firstpass, lastpass, anproj2, p, cptcoveff);
         /* (popforecast==1) populforecast(fileres, anpyram,mpyram,jpyram, agemin,agemax, dateprev1, dateprev2,mobilav, agedeb, fage, popforecast, popfile, anpyram1,p, i1);*/
         /*      }  */
         /*      else{ */
         /*        erreur=108; */
         /*        printf("Warning %d!! You can only forecast the prevalences if the optimization\n  has been performed with stepm = 1 (month) instead of %d or model=. instead of '%s'\n", erreur, stepm, model); */
         /*        fprintf(ficlog,"Warning %d!! You can only forecast the prevalences if the optimization\n  has been performed with stepm = 1 (month) instead of %d or model=. instead of '%s'\n", erreur, stepm, model); */
         /*      } */
       }
     
   
       /*---------- Health expectancies and variances ------------*/
   
       strcpy(filerest,"t");
       strcat(filerest,fileres);
       if((ficrest=fopen(filerest,"w"))==NULL) {
         printf("Problem with total LE resultfile: %s\n", filerest);goto end;
         fprintf(ficlog,"Problem with total LE resultfile: %s\n", filerest);goto end;
       }
       printf("Computing Total LEs with variances: file '%s' \n", filerest); 
       fprintf(ficlog,"Computing Total LEs with variances: file '%s' \n", filerest); 
   
   
       strcpy(filerese,"e");
       strcat(filerese,fileres);
       if((ficreseij=fopen(filerese,"w"))==NULL) {
         printf("Problem with Health Exp. resultfile: %s\n", filerese); exit(0);
         fprintf(ficlog,"Problem with Health Exp. resultfile: %s\n", filerese); exit(0);
       }
       printf("Computing Health Expectancies: result on file '%s' \n", filerese);
       fprintf(ficlog,"Computing Health Expectancies: result on file '%s' \n", filerese);
   
       strcpy(fileresv,"v");
       strcat(fileresv,fileres);
       if((ficresvij=fopen(fileresv,"w"))==NULL) {
         printf("Problem with variance resultfile: %s\n", fileresv);exit(0);
         fprintf(ficlog,"Problem with variance resultfile: %s\n", fileresv);exit(0);
       }
       printf("Computing Variance-covariance of DFLEs: file '%s' \n", fileresv);
       fprintf(ficlog,"Computing Variance-covariance of DFLEs: file '%s' \n", fileresv);
   
       /* Computes prevalence between agemin (i.e minimal age computed) and no more ageminpar */
       prevalence(probs, agemin, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass);
       /*  printf("ageminpar=%f, agemax=%f, s[lastpass][imx]=%d, agev[lastpass][imx]=%f, nlstate=%d, imx=%d,  mint[lastpass][imx]=%f, anint[lastpass][imx]=%f,dateprev1=%f, dateprev2=%f, firstpass=%d, lastpass=%d\n",\
           ageminpar, agemax, s[lastpass][imx], agev[lastpass][imx], nlstate, imx, mint[lastpass][imx],anint[lastpass][imx], dateprev1, dateprev2, firstpass, lastpass);
       */
   
       if (mobilav!=0) {
         mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
         if (movingaverage(probs, bage, fage, mobaverage,mobilav)!=0){
           fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
           printf(" Error in movingaverage mobilav=%d\n",mobilav);
         }
       }
   
       for(cptcov=1,k=0;cptcov<=i1;cptcov++){
         for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){
           k=k+1; 
           fprintf(ficrest,"\n#****** ");
           for(j=1;j<=cptcoveff;j++) 
             fprintf(ficrest,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
           fprintf(ficrest,"******\n");
   
           fprintf(ficreseij,"\n#****** ");
           for(j=1;j<=cptcoveff;j++) 
             fprintf(ficreseij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
           fprintf(ficreseij,"******\n");
   
           fprintf(ficresvij,"\n#****** ");
           for(j=1;j<=cptcoveff;j++) 
             fprintf(ficresvij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
           fprintf(ficresvij,"******\n");
   
           eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
           oldm=oldms;savm=savms;
           evsij(fileres, eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k, estepm, delti, matcov);  
    
           vareij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
           oldm=oldms;savm=savms;
           varevsij(optionfilefiname, vareij, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k, estepm, cptcov,cptcod,0, mobilav);
           if(popbased==1){
             varevsij(optionfilefiname, vareij, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k, estepm, cptcov,cptcod,popbased,mobilav);
           }
   
    
           fprintf(ficrest,"#Total LEs with variances: e.. (std) ");
           for (i=1;i<=nlstate;i++) fprintf(ficrest,"e.%d (std) ",i);
           fprintf(ficrest,"\n");
   
           epj=vector(1,nlstate+1);
           for(age=bage; age <=fage ;age++){
             prevalim(prlim, nlstate, p, age, oldm, savm,ftolpl,k);
             if (popbased==1) {
               if(mobilav ==0){
                 for(i=1; i<=nlstate;i++)
                   prlim[i][i]=probs[(int)age][i][k];
               }else{ /* mobilav */ 
                 for(i=1; i<=nlstate;i++)
                   prlim[i][i]=mobaverage[(int)age][i][k];
               }
             }
           
             fprintf(ficrest," %4.0f",age);
             for(j=1, epj[nlstate+1]=0.;j <=nlstate;j++){
               for(i=1, epj[j]=0.;i <=nlstate;i++) {
                 epj[j] += prlim[i][i]*eij[i][j][(int)age];
                 /*  printf("%lf %lf ", prlim[i][i] ,eij[i][j][(int)age]);*/
               }
               epj[nlstate+1] +=epj[j];
             }
   
             for(i=1, vepp=0.;i <=nlstate;i++)
               for(j=1;j <=nlstate;j++)
                 vepp += vareij[i][j][(int)age];
             fprintf(ficrest," %7.3f (%7.3f)", epj[nlstate+1],sqrt(vepp));
             for(j=1;j <=nlstate;j++){
               fprintf(ficrest," %7.3f (%7.3f)", epj[j],sqrt(vareij[j][j][(int)age]));
             }
             fprintf(ficrest,"\n");
           }
           free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);
           free_ma3x(vareij,1,nlstate,1,nlstate,(int) bage, (int)fage);
           free_vector(epj,1,nlstate+1);
         }
       }
       free_vector(weight,1,n);
       free_imatrix(Tvard,1,15,1,2);
       free_imatrix(s,1,maxwav+1,1,n);
       free_matrix(anint,1,maxwav,1,n); 
       free_matrix(mint,1,maxwav,1,n);
       free_ivector(cod,1,n);
       free_ivector(tab,1,NCOVMAX);
       fclose(ficreseij);
       fclose(ficresvij);
       fclose(ficrest);
       fclose(ficpar);
     
       /*------- Variance of stable prevalence------*/   
   
       strcpy(fileresvpl,"vpl");
       strcat(fileresvpl,fileres);
       if((ficresvpl=fopen(fileresvpl,"w"))==NULL) {
         printf("Problem with variance of stable prevalence  resultfile: %s\n", fileresvpl);
         exit(0);
       }
       printf("Computing Variance-covariance of stable prevalence: file '%s' \n", fileresvpl);
   
       for(cptcov=1,k=0;cptcov<=i1;cptcov++){
         for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){
           k=k+1;
           fprintf(ficresvpl,"\n#****** ");
           for(j=1;j<=cptcoveff;j++) 
             fprintf(ficresvpl,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
           fprintf(ficresvpl,"******\n");
         
           varpl=matrix(1,nlstate,(int) bage, (int) fage);
           oldm=oldms;savm=savms;
           varprevlim(fileres, varpl, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k);
           free_matrix(varpl,1,nlstate,(int) bage, (int)fage);
         }
       }
   
       fclose(ficresvpl);
   
       /*---------- End : free ----------------*/
       if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
       free_ma3x(probs,1,AGESUP,1,NCOVMAX, 1,NCOVMAX);
   
     }  /* mle==-3 arrives here for freeing */
       free_matrix(pmmij,1,nlstate+ndeath,1,nlstate+ndeath);
       free_matrix(oldms, 1,nlstate+ndeath,1,nlstate+ndeath);
       free_matrix(newms, 1,nlstate+ndeath,1,nlstate+ndeath);
       free_matrix(savms, 1,nlstate+ndeath,1,nlstate+ndeath);
     
       free_matrix(covar,0,NCOVMAX,1,n);
       free_matrix(matcov,1,npar,1,npar);
       /*free_vector(delti,1,npar);*/
       free_ma3x(delti3,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel); 
       free_matrix(agev,1,maxwav,1,imx);
       free_ma3x(param,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel);
   
       free_ivector(ncodemax,1,8);
       free_ivector(Tvar,1,15);
       free_ivector(Tprod,1,15);
       free_ivector(Tvaraff,1,15);
       free_ivector(Tage,1,15);
       free_ivector(Tcode,1,100);
   
   
     fflush(fichtm);
     fflush(ficgp);
     
   
     if((nberr >0) || (nbwarn>0)){
       printf("End of Imach with %d errors and/or %d warnings\n",nberr,nbwarn);
       fprintf(ficlog,"End of Imach with %d errors and/or warnings %d\n",nberr,nbwarn);
     }else{
       printf("End of Imach\n");
       fprintf(ficlog,"End of Imach\n");
     }
     printf("See log file on %s\n",filelog);
     /*  gettimeofday(&end_time, (struct timezone*)0);*/  /* after time */
     (void) gettimeofday(&end_time,&tzp);
     tm = *localtime(&end_time.tv_sec);
     tmg = *gmtime(&end_time.tv_sec);
     strcpy(strtend,asctime(&tm));
     printf("Local time at start %s\nLocaltime at end   %s",strstart, strtend); 
     fprintf(ficlog,"Local time at start %s\nLocal time at end   %s\n",strstart, strtend); 
     printf("Total time used %s\n", asc_diff_time(end_time.tv_sec -start_time.tv_sec,tmpout));
   
     printf("Total time was %d Sec.\n", end_time.tv_sec -start_time.tv_sec);
     fprintf(ficlog,"Total time used %s\n", asc_diff_time(end_time.tv_sec -start_time.tv_sec,tmpout));
     fprintf(ficlog,"Total time was %d Sec.\n", end_time.tv_sec -start_time.tv_sec);
     /*  printf("Total time was %d uSec.\n", total_usecs);*/
   /*   if(fileappend(fichtm,optionfilehtm)){ */
     fprintf(fichtm,"<br>Local time at start %s<br>Local time at end   %s<br>",strstart, strtend);
     fclose(fichtm);
     fclose(fichtmcov);
     fclose(ficgp);
     fclose(ficlog);
     /*------ End -----------*/
   
     chdir(path);
     strcpy(plotcmd,"\"");
     strcat(plotcmd,pathimach);
     strcat(plotcmd,GNUPLOTPROGRAM);
     strcat(plotcmd,"\"");
     strcat(plotcmd," ");
     strcat(plotcmd,optionfilegnuplot);
     printf("Starting graphs with: %s",plotcmd);fflush(stdout);
     if((outcmd=system(plotcmd)) != 0){
       printf(" Problem with gnuplot\n");
     }
     printf(" Wait...");
     while (z[0] != 'q') {
       /* chdir(path); */
       printf("\nType e to edit output files, g to graph again and q for exiting: ");
       scanf("%s",z);
   /*     if (z[0] == 'c') system("./imach"); */
       if (z[0] == 'e') {
         printf("Starting browser with: %s",optionfilehtm);fflush(stdout);
         system(optionfilehtm);
       }
       else if (z[0] == 'g') system(plotcmd);
       else if (z[0] == 'q') exit(0);
     }
     end:
     while (z[0] != 'q') {
       printf("\nType  q for exiting: ");
       scanf("%s",z);
     }
   }
   
   
   

Removed from v.1.42  
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  Added in v.1.100


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