Diff for /imach/src/imach.c between versions 1.7 and 1.111

version 1.7, 2001/05/02 17:50:24 version 1.111, 2006/01/25 20:38:18
Line 1 Line 1
      /* $Id$
 /*********************** Imach **************************************            $State$
   This program computes Healthy Life Expectancies from cross-longitudinal    $Log$
   data. Cross-longitudinal consist in a first survey ("cross") where    Revision 1.111  2006/01/25 20:38:18  brouard
   individuals from different ages are interviewed on their health status    (Module): Lots of cleaning and bugs added (Gompertz)
   or degree of  disability. At least a second wave of interviews    (Module): Comments can be added in data file. Missing date values
   ("longitudinal") should  measure each new individual health status.    can be a simple dot '.'.
   Health expectancies are computed from the transistions observed between  
   waves and are computed for each degree of severity of disability (number    Revision 1.110  2006/01/25 00:51:50  brouard
   of life states). More degrees you consider, more time is necessary to    (Module): Lots of cleaning and bugs added (Gompertz)
   reach the Maximum Likelihood of the parameters involved in the model.  
   The simplest model is the multinomial logistic model where pij is    Revision 1.109  2006/01/24 19:37:15  brouard
   the probabibility to be observed in state j at the second wave conditional    (Module): Comments (lines starting with a #) are allowed in data.
   to be observed in state i at the first wave. Therefore the model is:  
   log(pij/pii)= aij + bij*age+ cij*sex + etc , where 'age' is age and 'sex'    Revision 1.108  2006/01/19 18:05:42  lievre
   is a covariate. If you want to have a more complex model than "constant and    Gnuplot problem appeared...
   age", you should modify the program where the markup    To be fixed
     *Covariates have to be included here again* invites you to do it.  
   More covariates you add, less is the speed of the convergence.    Revision 1.107  2006/01/19 16:20:37  brouard
     Test existence of gnuplot in imach path
   The advantage that this computer programme claims, comes from that if the  
   delay between waves is not identical for each individual, or if some    Revision 1.106  2006/01/19 13:24:36  brouard
   individual missed an interview, the information is not rounded or lost, but    Some cleaning and links added in html output
   taken into account using an interpolation or extrapolation.  
   hPijx is the probability to be    Revision 1.105  2006/01/05 20:23:19  lievre
   observed in state i at age x+h conditional to the observed state i at age    *** empty log message ***
   x. The delay 'h' can be split into an exact number (nh*stepm) of  
   unobserved intermediate  states. This elementary transition (by month or    Revision 1.104  2005/09/30 16:11:43  lievre
   quarter trimester, semester or year) is model as a multinomial logistic.    (Module): sump fixed, loop imx fixed, and simplifications.
   The hPx matrix is simply the matrix product of nh*stepm elementary matrices    (Module): If the status is missing at the last wave but we know
   and the contribution of each individual to the likelihood is simply hPijx.    that the person is alive, then we can code his/her status as -2
     (instead of missing=-1 in earlier versions) and his/her
   Also this programme outputs the covariance matrix of the parameters but also    contributions to the likelihood is 1 - Prob of dying from last
   of the life expectancies. It also computes the prevalence limits.    health status (= 1-p13= p11+p12 in the easiest case of somebody in
      the healthy state at last known wave). Version is 0.98
   Authors: Nicolas Brouard (brouard@ined.fr) and Agnès Lièvre (lievre@ined.fr).  
            Institut national d'études démographiques, Paris.    Revision 1.103  2005/09/30 15:54:49  lievre
   This software have been partly granted by Euro-REVES, a concerted action    (Module): sump fixed, loop imx fixed, and simplifications.
   from the European Union.  
   It is copyrighted identically to a GNU software product, ie programme and    Revision 1.102  2004/09/15 17:31:30  brouard
   software can be distributed freely for non commercial use. Latest version    Add the possibility to read data file including tab characters.
   can be accessed at http://euroreves.ined.fr/imach .  
   **********************************************************************/    Revision 1.101  2004/09/15 10:38:38  brouard
      Fix on curr_time
 #include <math.h>  
 #include <stdio.h>    Revision 1.100  2004/07/12 18:29:06  brouard
 #include <stdlib.h>    Add version for Mac OS X. Just define UNIX in Makefile
 #include <unistd.h>  
     Revision 1.99  2004/06/05 08:57:40  brouard
 #define MAXLINE 256    *** empty log message ***
 #define FILENAMELENGTH 80  
 /*#define DEBUG*/    Revision 1.98  2004/05/16 15:05:56  brouard
 #define windows    New version 0.97 . First attempt to estimate force of mortality
 #define GLOCK_ERROR_NOPATH              -1      /* empty path */    directly from the data i.e. without the need of knowing the health
 #define GLOCK_ERROR_GETCWD              -2      /* cannot get cwd */    state at each age, but using a Gompertz model: log u =a + b*age .
     This is the basic analysis of mortality and should be done before any
 #define MAXPARM 30 /* Maximum number of parameters for the optimization */    other analysis, in order to test if the mortality estimated from the
 #define NPARMAX 64 /* (nlstate+ndeath-1)*nlstate*ncovmodel */    cross-longitudinal survey is different from the mortality estimated
     from other sources like vital statistic data.
 #define NINTERVMAX 8  
 #define NLSTATEMAX 8 /* Maximum number of live states (for func) */    The same imach parameter file can be used but the option for mle should be -3.
 #define NDEATHMAX 8 /* Maximum number of dead states (for func) */  
 #define NCOVMAX 8 /* Maximum number of covariates */    Agnès, who wrote this part of the code, tried to keep most of the
 #define MAXN 20000    former routines in order to include the new code within the former code.
 #define YEARM 12. /* Number of months per year */  
 #define AGESUP 130    The output is very simple: only an estimate of the intercept and of
 #define AGEBASE 40    the slope with 95% confident intervals.
   
     Current limitations:
 int nvar;    A) Even if you enter covariates, i.e. with the
 static int cptcov;    model= V1+V2 equation for example, the programm does only estimate a unique global model without covariates.
 int cptcovn, cptcovage=0, cptcoveff=0;    B) There is no computation of Life Expectancy nor Life Table.
 int npar=NPARMAX;  
 int nlstate=2; /* Number of live states */    Revision 1.97  2004/02/20 13:25:42  lievre
 int ndeath=1; /* Number of dead states */    Version 0.96d. Population forecasting command line is (temporarily)
 int ncovmodel, ncov;     /* Total number of covariables including constant a12*1 +b12*x ncovmodel=2 */    suppressed.
   
 int *wav; /* Number of waves for this individuual 0 is possible */    Revision 1.96  2003/07/15 15:38:55  brouard
 int maxwav; /* Maxim number of waves */    * imach.c (Repository): Errors in subdirf, 2, 3 while printing tmpout is
 int mle, weightopt;    rewritten within the same printf. Workaround: many printfs.
 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 */    Revision 1.95  2003/07/08 07:54:34  brouard
 double **oldm, **newm, **savm; /* Working pointers to matrices */    * imach.c (Repository):
 double **oldms, **newms, **savms; /* Fixed working pointers to matrices */    (Repository): Using imachwizard code to output a more meaningful covariance
 FILE *fic,*ficpar, *ficparo,*ficres,  *ficrespl, *ficrespij, *ficrest;    matrix (cov(a12,c31) instead of numbers.
 FILE *ficgp, *fichtm;  
 FILE *ficreseij;    Revision 1.94  2003/06/27 13:00:02  brouard
   char filerese[FILENAMELENGTH];    Just cleaning
  FILE  *ficresvij;  
   char fileresv[FILENAMELENGTH];    Revision 1.93  2003/06/25 16:33:55  brouard
  FILE  *ficresvpl;    (Module): On windows (cygwin) function asctime_r doesn't
   char fileresvpl[FILENAMELENGTH];    exist so I changed back to asctime which exists.
     (Module): Version 0.96b
 #define NR_END 1  
 #define FREE_ARG char*    Revision 1.92  2003/06/25 16:30:45  brouard
 #define FTOL 1.0e-10    (Module): On windows (cygwin) function asctime_r doesn't
     exist so I changed back to asctime which exists.
 #define NRANSI  
 #define ITMAX 200    Revision 1.91  2003/06/25 15:30:29  brouard
     * imach.c (Repository): Duplicated warning errors corrected.
 #define TOL 2.0e-4    (Repository): Elapsed time after each iteration is now output. It
     helps to forecast when convergence will be reached. Elapsed time
 #define CGOLD 0.3819660    is stamped in powell.  We created a new html file for the graphs
 #define ZEPS 1.0e-10    concerning matrix of covariance. It has extension -cov.htm.
 #define SHFT(a,b,c,d) (a)=(b);(b)=(c);(c)=(d);  
     Revision 1.90  2003/06/24 12:34:15  brouard
 #define GOLD 1.618034    (Module): Some bugs corrected for windows. Also, when
 #define GLIMIT 100.0    mle=-1 a template is output in file "or"mypar.txt with the design
 #define TINY 1.0e-20    of the covariance matrix to be input.
   
 static double maxarg1,maxarg2;    Revision 1.89  2003/06/24 12:30:52  brouard
 #define FMAX(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)>(maxarg2)? (maxarg1):(maxarg2))    (Module): Some bugs corrected for windows. Also, when
 #define FMIN(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)<(maxarg2)? (maxarg1):(maxarg2))    mle=-1 a template is output in file "or"mypar.txt with the design
      of the covariance matrix to be input.
 #define SIGN(a,b) ((b)>0.0 ? fabs(a) : -fabs(a))  
 #define rint(a) floor(a+0.5)    Revision 1.88  2003/06/23 17:54:56  brouard
     * 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.
 static double sqrarg;  
 #define SQR(a) ((sqrarg=(a)) == 0.0 ? 0.0 :sqrarg*sqrarg)    Revision 1.87  2003/06/18 12:26:01  brouard
 #define SWAP(a,b) {temp=(a);(a)=(b);(b)=temp;}    Version 0.96
   
 int imx;    Revision 1.86  2003/06/17 20:04:08  brouard
 int stepm;    (Module): Change position of html and gnuplot routines and added
 /* Stepm, step in month: minimum step interpolation*/    routine fileappend.
   
 int m,nb;    Revision 1.85  2003/06/17 13:12:43  brouard
 int *num, firstpass=0, lastpass=4,*cod, *ncodemax, *Tage;    * imach.c (Repository): Check when date of death was earlier that
 double **agev,*moisnais, *annais, *moisdc, *andc,**mint, **anint;    current date of interview. It may happen when the death was just
 double **pmmij;    prior to the death. In this case, dh was negative and likelihood
     was wrong (infinity). We still send an "Error" but patch by
 double *weight;    assuming that the date of death was just one stepm after the
 int **s; /* Status */    interview.
 double *agedc, **covar, idx;    (Repository): Because some people have very long ID (first column)
 int **nbcode, *Tcode, *Tvar, **codtab, **Tvard, *Tprod, cptcovprod, *Tvaraff;    we changed int to long in num[] and we added a new lvector for
     memory allocation. But we also truncated to 8 characters (left
 double ftol=FTOL; /* Tolerance for computing Max Likelihood */    truncation)
 double ftolhess; /* Tolerance for computing hessian */    (Repository): No more line truncation errors.
   
 /**************** split *************************/    Revision 1.84  2003/06/13 21:44:43  brouard
 static  int split( char *path, char *dirc, char *name )    * imach.c (Repository): Replace "freqsummary" at a correct
 {    place. It differs from routine "prevalence" which may be called
    char *s;                             /* pointer */    many times. Probs is memory consuming and must be used with
    int  l1, l2;                         /* length counters */    parcimony.
     Version 0.95a3 (should output exactly the same maximization than 0.8a2)
    l1 = strlen( path );                 /* length of path */  
    if ( l1 == 0 ) return( GLOCK_ERROR_NOPATH );    Revision 1.83  2003/06/10 13:39:11  lievre
    s = strrchr( path, '\\' );           /* find last / */    *** empty log message ***
    if ( s == NULL ) {                   /* no directory, so use current */  
 #if     defined(__bsd__)                /* get current working directory */    Revision 1.82  2003/06/05 15:57:20  brouard
       extern char       *getwd( );    Add log in  imach.c and  fullversion number is now printed.
   
       if ( getwd( dirc ) == NULL ) {  */
 #else  /*
       extern char       *getcwd( );     Interpolated Markov Chain
   
       if ( getcwd( dirc, FILENAME_MAX ) == NULL ) {    Short summary of the programme:
 #endif    
          return( GLOCK_ERROR_GETCWD );    This program computes Healthy Life Expectancies from
       }    cross-longitudinal data. Cross-longitudinal data consist in: -1- a
       strcpy( name, path );             /* we've got it */    first survey ("cross") where individuals from different ages are
    } else {                             /* strip direcotry from path */    interviewed on their health status or degree of disability (in the
       s++;                              /* after this, the filename */    case of a health survey which is our main interest) -2- at least a
       l2 = strlen( s );                 /* length of filename */    second wave of interviews ("longitudinal") which measure each change
       if ( l2 == 0 ) return( GLOCK_ERROR_NOPATH );    (if any) in individual health status.  Health expectancies are
       strcpy( name, s );                /* save file name */    computed from the time spent in each health state according to a
       strncpy( dirc, path, l1 - l2 );   /* now the directory */    model. More health states you consider, more time is necessary to reach the
       dirc[l1-l2] = 0;                  /* add zero */    Maximum Likelihood of the parameters involved in the model.  The
    }    simplest model is the multinomial logistic model where pij is the
    l1 = strlen( dirc );                 /* length of directory */    probability to be observed in state j at the second wave
    if ( dirc[l1-1] != '\\' ) { dirc[l1] = '\\'; dirc[l1+1] = 0; }    conditional to be observed in state i at the first wave. Therefore
    return( 0 );                         /* we're done */    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
     complex model than "constant and age", you should modify the program
     where the markup *Covariates have to be included here again* invites
 /******************************************/    you to do it.  More covariates you add, slower the
     convergence.
 void replace(char *s, char*t)  
 {    The advantage of this computer programme, compared to a simple
   int i;    multinomial logistic model, is clear when the delay between waves is not
   int lg=20;    identical for each individual. Also, if a individual missed an
   i=0;    intermediate interview, the information is lost, but taken into
   lg=strlen(t);    account using an interpolation or extrapolation.  
   for(i=0; i<= lg; i++) {  
     (s[i] = t[i]);    hPijx is the probability to be observed in state i at age x+h
     if (t[i]== '\\') s[i]='/';    conditional to the observed state i at age x. The delay 'h' can be
   }    split into an exact number (nh*stepm) of unobserved intermediate
 }    states. This elementary transition (by month, quarter,
     semester or year) is modelled as a multinomial logistic.  The hPx
 int nbocc(char *s, char occ)    matrix is simply the matrix product of nh*stepm elementary matrices
 {    and the contribution of each individual to the likelihood is simply
   int i,j=0;    hPijx.
   int lg=20;  
   i=0;    Also this programme outputs the covariance matrix of the parameters but also
   lg=strlen(s);    of the life expectancies. It also computes the stable prevalence. 
   for(i=0; i<= lg; i++) {    
   if  (s[i] == occ ) j++;    Authors: Nicolas Brouard (brouard@ined.fr) and Agnès Lièvre (lievre@ined.fr).
   }             Institut national d'études démographiques, Paris.
   return j;    This software have been partly granted by Euro-REVES, a concerted action
 }    from the European Union.
     It is copyrighted identically to a GNU software product, ie programme and
 void cutv(char *u,char *v, char*t, char occ)    software can be distributed freely for non commercial use. Latest version
 {    can be accessed at http://euroreves.ined.fr/imach .
   int i,lg,j,p=0;  
   i=0;    Help to debug: LD_PRELOAD=/usr/local/lib/libnjamd.so ./imach foo.imach
   for(j=0; j<=strlen(t)-1; j++) {    or better on gdb : set env LD_PRELOAD=/usr/local/lib/libnjamd.so
     if((t[j]!= occ) && (t[j+1]== occ)) p=j+1;    
   }    **********************************************************************/
   /*
   lg=strlen(t);    main
   for(j=0; j<p; j++) {    read parameterfile
     (u[j] = t[j]);    read datafile
   }    concatwav
      u[p]='\0';    freqsummary
     if (mle >= 1)
    for(j=0; j<= lg; j++) {      mlikeli
     if (j>=(p+1))(v[j-p-1] = t[j]);    print results files
   }    if mle==1 
 }       computes hessian
     read end of parameter file: agemin, agemax, bage, fage, estepm
 /********************** nrerror ********************/        begin-prev-date,...
     open gnuplot file
 void nrerror(char error_text[])    open html file
 {    stable prevalence
   fprintf(stderr,"ERREUR ...\n");     for age prevalim()
   fprintf(stderr,"%s\n",error_text);    h Pij x
   exit(1);    variance of p varprob
 }    forecasting if prevfcast==1 prevforecast call prevalence()
 /*********************** vector *******************/    health expectancies
 double *vector(int nl, int nh)    Variance-covariance of DFLE
 {    prevalence()
   double *v;     movingaverage()
   v=(double *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(double)));    varevsij() 
   if (!v) nrerror("allocation failure in vector");    if popbased==1 varevsij(,popbased)
   return v-nl+NR_END;    total life expectancies
 }    Variance of stable prevalence
    end
 /************************ free vector ******************/  */
 void free_vector(double*v, int nl, int nh)  
 {  
   free((FREE_ARG)(v+nl-NR_END));  
 }   
   #include <math.h>
 /************************ivector *******************************/  #include <stdio.h>
 int *ivector(long nl,long nh)  #include <stdlib.h>
 {  #include <string.h>
   int *v;  #include <unistd.h>
   v=(int *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(int)));  
   if (!v) nrerror("allocation failure in ivector");  #include <limits.h>
   return v-nl+NR_END;  #include <sys/types.h>
 }  #include <sys/stat.h>
   #include <errno.h>
 /******************free ivector **************************/  extern int errno;
 void free_ivector(int *v, long nl, long nh)  
 {  /* #include <sys/time.h> */
   free((FREE_ARG)(v+nl-NR_END));  #include <time.h>
 }  #include "timeval.h"
   
 /******************* imatrix *******************************/  /* #include <libintl.h> */
 int **imatrix(long nrl, long nrh, long ncl, long nch)  /* #define _(String) gettext (String) */
      /* allocate a int matrix with subscript range m[nrl..nrh][ncl..nch] */  
 {  #define MAXLINE 256
   long i, nrow=nrh-nrl+1,ncol=nch-ncl+1;  
   int **m;  #define GNUPLOTPROGRAM "gnuplot"
    /*#define GNUPLOTPROGRAM "..\\gp37mgw\\wgnuplot"*/
   /* allocate pointers to rows */  #define FILENAMELENGTH 132
   m=(int **) malloc((size_t)((nrow+NR_END)*sizeof(int*)));  
   if (!m) nrerror("allocation failure 1 in matrix()");  #define GLOCK_ERROR_NOPATH              -1      /* empty path */
   m += NR_END;  #define GLOCK_ERROR_GETCWD              -2      /* cannot get cwd */
   m -= nrl;  
    #define MAXPARM 30 /* Maximum number of parameters for the optimization */
    #define NPARMAX 64 /* (nlstate+ndeath-1)*nlstate*ncovmodel */
   /* allocate rows and set pointers to them */  
   m[nrl]=(int *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(int)));  #define NINTERVMAX 8
   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");  #define NLSTATEMAX 8 /* Maximum number of live states (for func) */
   m[nrl] += NR_END;  #define NDEATHMAX 8 /* Maximum number of dead states (for func) */
   m[nrl] -= ncl;  #define NCOVMAX 8 /* Maximum number of covariates */
    #define MAXN 20000
   for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol;  #define YEARM 12. /* Number of months per year */
    #define AGESUP 130
   /* return pointer to array of pointers to rows */  #define AGEBASE 40
   return m;  #define AGEGOMP 10. /* Minimal age for Gompertz adjustment */
 }  #ifdef UNIX
   #define DIRSEPARATOR '/'
 /****************** free_imatrix *************************/  #define CHARSEPARATOR "/"
 void free_imatrix(m,nrl,nrh,ncl,nch)  #define ODIRSEPARATOR '\\'
       int **m;  #else
       long nch,ncl,nrh,nrl;  #define DIRSEPARATOR '\\'
      /* free an int matrix allocated by imatrix() */  #define CHARSEPARATOR "\\"
 {  #define ODIRSEPARATOR '/'
   free((FREE_ARG) (m[nrl]+ncl-NR_END));  #endif
   free((FREE_ARG) (m+nrl-NR_END));  
 }  /* $Id$ */
   /* $State$ */
 /******************* matrix *******************************/  
 double **matrix(long nrl, long nrh, long ncl, long nch)  char version[]="Imach version 0.98b, January 2006, INED-EUROREVES ";
 {  char fullversion[]="$Revision$ $Date$"; 
   long i, nrow=nrh-nrl+1, ncol=nch-ncl+1;  int erreur, nberr=0, nbwarn=0; /* Error number, number of errors number of warnings  */
   double **m;  int nvar;
   int cptcovn=0, cptcovage=0, cptcoveff=0,cptcov;
   m=(double **) malloc((size_t)((nrow+NR_END)*sizeof(double*)));  int npar=NPARMAX;
   if (!m) nrerror("allocation failure 1 in matrix()");  int nlstate=2; /* Number of live states */
   m += NR_END;  int ndeath=1; /* Number of dead states */
   m -= nrl;  int ncovmodel, ncovcol;     /* Total number of covariables including constant a12*1 +b12*x ncovmodel=2 */
   int popbased=0;
   m[nrl]=(double *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));  
   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");  int *wav; /* Number of waves for this individuual 0 is possible */
   m[nrl] += NR_END;  int maxwav; /* Maxim number of waves */
   m[nrl] -= ncl;  int jmin, jmax; /* min, max spacing between 2 waves */
   int ijmin, ijmax; /* Individuals having jmin and jmax */ 
   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;  int gipmx, gsw; /* Global variables on the number of contributions 
   return m;                     to the likelihood and the sum of weights (done by funcone)*/
 }  int mle, weightopt;
   int **mw; /* mw[mi][i] is number of the mi wave for this individual */
 /*************************free matrix ************************/  int **dh; /* dh[mi][i] is number of steps between mi,mi+1 for this individual */
 void free_matrix(double **m, long nrl, long nrh, long ncl, long nch)  int **bh; /* bh[mi][i] is the bias (+ or -) for this individual if the delay between
 {             * wave mi and wave mi+1 is not an exact multiple of stepm. */
   free((FREE_ARG)(m[nrl]+ncl-NR_END));  double jmean; /* Mean space between 2 waves */
   free((FREE_ARG)(m+nrl-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;
 /******************* ma3x *******************************/  FILE *ficlog, *ficrespow;
 double ***ma3x(long nrl, long nrh, long ncl, long nch, long nll, long nlh)  int globpr; /* Global variable for printing or not */
 {  double fretone; /* Only one call to likelihood */
   long i, j, nrow=nrh-nrl+1, ncol=nch-ncl+1, nlay=nlh-nll+1;  long ipmx; /* Number of contributions */
   double ***m;  double sw; /* Sum of weights */
   char filerespow[FILENAMELENGTH];
   m=(double ***) malloc((size_t)((nrow+NR_END)*sizeof(double*)));  char fileresilk[FILENAMELENGTH]; /* File of individual contributions to the likelihood */
   if (!m) nrerror("allocation failure 1 in matrix()");  FILE *ficresilk;
   m += NR_END;  FILE *ficgp,*ficresprob,*ficpop, *ficresprobcov, *ficresprobcor;
   m -= nrl;  FILE *ficresprobmorprev;
   FILE *fichtm, *fichtmcov; /* Html File */
   m[nrl]=(double **) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));  FILE *ficreseij;
   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");  char filerese[FILENAMELENGTH];
   m[nrl] += NR_END;  FILE  *ficresvij;
   m[nrl] -= ncl;  char fileresv[FILENAMELENGTH];
   FILE  *ficresvpl;
   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;  char fileresvpl[FILENAMELENGTH];
   char title[MAXLINE];
   m[nrl][ncl]=(double *) malloc((size_t)((nrow*ncol*nlay+NR_END)*sizeof(double)));  char optionfile[FILENAMELENGTH], datafile[FILENAMELENGTH],  filerespl[FILENAMELENGTH];
   if (!m[nrl][ncl]) nrerror("allocation failure 3 in matrix()");  char optionfilext[10], optionfilefiname[FILENAMELENGTH], plotcmd[FILENAMELENGTH], pplotcmd[FILENAMELENGTH];
   m[nrl][ncl] += NR_END;  char tmpout[FILENAMELENGTH],  tmpout2[FILENAMELENGTH]; 
   m[nrl][ncl] -= nll;  char command[FILENAMELENGTH];
   for (j=ncl+1; j<=nch; j++)  int  outcmd=0;
     m[nrl][j]=m[nrl][j-1]+nlay;  
    char fileres[FILENAMELENGTH], filerespij[FILENAMELENGTH], filereso[FILENAMELENGTH], rfileres[FILENAMELENGTH];
   for (i=nrl+1; i<=nrh; i++) {  
     m[i][ncl]=m[i-1l][ncl]+ncol*nlay;  char filelog[FILENAMELENGTH]; /* Log file */
     for (j=ncl+1; j<=nch; j++)  char filerest[FILENAMELENGTH];
       m[i][j]=m[i][j-1]+nlay;  char fileregp[FILENAMELENGTH];
   }  char popfile[FILENAMELENGTH];
   return m;  
 }  char optionfilegnuplot[FILENAMELENGTH], optionfilehtm[FILENAMELENGTH], optionfilehtmcov[FILENAMELENGTH] ;
   
 /*************************free ma3x ************************/  struct timeval start_time, end_time, curr_time, last_time, forecast_time;
 void free_ma3x(double ***m, long nrl, long nrh, long ncl, long nch,long nll, long nlh)  struct timezone tzp;
 {  extern int gettimeofday();
   free((FREE_ARG)(m[nrl][ncl]+ nll-NR_END));  struct tm tmg, tm, tmf, *gmtime(), *localtime();
   free((FREE_ARG)(m[nrl]+ncl-NR_END));  long time_value;
   free((FREE_ARG)(m+nrl-NR_END));  extern long time();
 }  char strcurr[80], strfor[80];
   
 /***************** f1dim *************************/  char *endptr;
 extern int ncom;  long lval;
 extern double *pcom,*xicom;  
 extern double (*nrfunc)(double []);  #define NR_END 1
    #define FREE_ARG char*
 double f1dim(double x)  #define FTOL 1.0e-10
 {  
   int j;  #define NRANSI 
   double f;  #define ITMAX 200 
   double *xt;  
    #define TOL 2.0e-4 
   xt=vector(1,ncom);  
   for (j=1;j<=ncom;j++) xt[j]=pcom[j]+x*xicom[j];  #define CGOLD 0.3819660 
   f=(*nrfunc)(xt);  #define ZEPS 1.0e-10 
   free_vector(xt,1,ncom);  #define SHFT(a,b,c,d) (a)=(b);(b)=(c);(c)=(d); 
   return f;  
 }  #define GOLD 1.618034 
   #define GLIMIT 100.0 
 /*****************brent *************************/  #define TINY 1.0e-20 
 double brent(double ax, double bx, double cx, double (*f)(double), double tol,  double *xmin)  
 {  static double maxarg1,maxarg2;
   int iter;  #define FMAX(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)>(maxarg2)? (maxarg1):(maxarg2))
   double a,b,d,etemp;  #define FMIN(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)<(maxarg2)? (maxarg1):(maxarg2))
   double fu,fv,fw,fx;    
   double ftemp;  #define SIGN(a,b) ((b)>0.0 ? fabs(a) : -fabs(a))
   double p,q,r,tol1,tol2,u,v,w,x,xm;  #define rint(a) floor(a+0.5)
   double e=0.0;  
    static double sqrarg;
   a=(ax < cx ? ax : cx);  #define SQR(a) ((sqrarg=(a)) == 0.0 ? 0.0 :sqrarg*sqrarg)
   b=(ax > cx ? ax : cx);  #define SWAP(a,b) {temp=(a);(a)=(b);(b)=temp;} 
   x=w=v=bx;  int agegomp= AGEGOMP;
   fw=fv=fx=(*f)(x);  
   for (iter=1;iter<=ITMAX;iter++) {  int imx; 
     xm=0.5*(a+b);  int stepm=1;
     tol2=2.0*(tol1=tol*fabs(x)+ZEPS);  /* Stepm, step in month: minimum step interpolation*/
     /*          if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret)))*/  
     printf(".");fflush(stdout);  int estepm;
 #ifdef DEBUG  /* Estepm, step in month to interpolate survival function in order to approximate Life Expectancy*/
     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 ((fabs(x-xm) <= (tol2-0.5*(b-a)))||(2.0*fabs(fu-ftemp) <= ftol*1.e-2*(fabs(fu)+fabs(ftemp)))) { */  int m,nb;
 #endif  long *num;
     if (fabs(x-xm) <= (tol2-0.5*(b-a))){  int firstpass=0, lastpass=4,*cod, *ncodemax, *Tage,*cens;
       *xmin=x;  double **agev,*moisnais, *annais, *moisdc, *andc,**mint, **anint;
       return fx;  double **pmmij, ***probs;
     }  double *ageexmed,*agecens;
     ftemp=fu;  double dateintmean=0;
     if (fabs(e) > tol1) {  
       r=(x-w)*(fx-fv);  double *weight;
       q=(x-v)*(fx-fw);  int **s; /* Status */
       p=(x-v)*q-(x-w)*r;  double *agedc, **covar, idx;
       q=2.0*(q-r);  int **nbcode, *Tcode, *Tvar, **codtab, **Tvard, *Tprod, cptcovprod, *Tvaraff;
       if (q > 0.0) p = -p;  double *lsurv, *lpop, *tpop;
       q=fabs(q);  
       etemp=e;  double ftol=FTOL; /* Tolerance for computing Max Likelihood */
       e=d;  double ftolhess; /* Tolerance for computing hessian */
       if (fabs(p) >= fabs(0.5*q*etemp) || p <= q*(a-x) || p >= q*(b-x))  
         d=CGOLD*(e=(x >= xm ? a-x : b-x));  /**************** split *************************/
       else {  static  int split( char *path, char *dirc, char *name, char *ext, char *finame )
         d=p/q;  {
         u=x+d;    /* From a file name with (full) path (either Unix or Windows) we extract the directory (dirc)
         if (u-a < tol2 || b-u < tol2)       the name of the file (name), its extension only (ext) and its first part of the name (finame)
           d=SIGN(tol1,xm-x);    */ 
       }    char  *ss;                            /* pointer */
     } else {    int   l1, l2;                         /* length counters */
       d=CGOLD*(e=(x >= xm ? a-x : b-x));  
     }    l1 = strlen(path );                   /* length of path */
     u=(fabs(d) >= tol1 ? x+d : x+SIGN(tol1,d));    if ( l1 == 0 ) return( GLOCK_ERROR_NOPATH );
     fu=(*f)(u);    ss= strrchr( path, DIRSEPARATOR );            /* find last / */
     if (fu <= fx) {    if ( ss == NULL ) {                   /* no directory, so determine current directory */
       if (u >= x) a=x; else b=x;      strcpy( name, path );               /* we got the fullname name because no directory */
       SHFT(v,w,x,u)      /*if(strrchr(path, ODIRSEPARATOR )==NULL)
         SHFT(fv,fw,fx,fu)        printf("Warning you should use %s as a separator\n",DIRSEPARATOR);*/
         } else {      /* get current working directory */
           if (u < x) a=u; else b=u;      /*    extern  char* getcwd ( char *buf , int len);*/
           if (fu <= fw || w == x) {      if ( getcwd( dirc, FILENAME_MAX ) == NULL ) {
             v=w;        return( GLOCK_ERROR_GETCWD );
             w=u;      }
             fv=fw;      /* got dirc from getcwd*/
             fw=fu;      printf(" DIRC = %s \n",dirc);
           } else if (fu <= fv || v == x || v == w) {    } else {                              /* strip direcotry from path */
             v=u;      ss++;                               /* after this, the filename */
             fv=fu;      l2 = strlen( ss );                  /* length of filename */
           }      if ( l2 == 0 ) return( GLOCK_ERROR_NOPATH );
         }      strcpy( name, ss );         /* save file name */
   }      strncpy( dirc, path, l1 - l2 );     /* now the directory */
   nrerror("Too many iterations in brent");      dirc[l1-l2] = 0;                    /* add zero */
   *xmin=x;      printf(" DIRC2 = %s \n",dirc);
   return fx;    }
 }    /* We add a separator at the end of dirc if not exists */
     l1 = strlen( dirc );                  /* length of directory */
 /****************** mnbrak ***********************/    if( dirc[l1-1] != DIRSEPARATOR ){
       dirc[l1] =  DIRSEPARATOR;
 void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, double *fc,      dirc[l1+1] = 0; 
             double (*func)(double))      printf(" DIRC3 = %s \n",dirc);
 {    }
   double ulim,u,r,q, dum;    ss = strrchr( name, '.' );            /* find last / */
   double fu;    if (ss >0){
        ss++;
   *fa=(*func)(*ax);      strcpy(ext,ss);                     /* save extension */
   *fb=(*func)(*bx);      l1= strlen( name);
   if (*fb > *fa) {      l2= strlen(ss)+1;
     SHFT(dum,*ax,*bx,dum)      strncpy( finame, name, l1-l2);
       SHFT(dum,*fb,*fa,dum)      finame[l1-l2]= 0;
       }    }
   *cx=(*bx)+GOLD*(*bx-*ax);  
   *fc=(*func)(*cx);    return( 0 );                          /* we're done */
   while (*fb > *fc) {  }
     r=(*bx-*ax)*(*fb-*fc);  
     q=(*bx-*cx)*(*fb-*fa);  
     u=(*bx)-((*bx-*cx)*q-(*bx-*ax)*r)/  /******************************************/
       (2.0*SIGN(FMAX(fabs(q-r),TINY),q-r));  
     ulim=(*bx)+GLIMIT*(*cx-*bx);  void replace_back_to_slash(char *s, char*t)
     if ((*bx-u)*(u-*cx) > 0.0) {  {
       fu=(*func)(u);    int i;
     } else if ((*cx-u)*(u-ulim) > 0.0) {    int lg=0;
       fu=(*func)(u);    i=0;
       if (fu < *fc) {    lg=strlen(t);
         SHFT(*bx,*cx,u,*cx+GOLD*(*cx-*bx))    for(i=0; i<= lg; i++) {
           SHFT(*fb,*fc,fu,(*func)(u))      (s[i] = t[i]);
           }      if (t[i]== '\\') s[i]='/';
     } else if ((u-ulim)*(ulim-*cx) >= 0.0) {    }
       u=ulim;  }
       fu=(*func)(u);  
     } else {  int nbocc(char *s, char occ)
       u=(*cx)+GOLD*(*cx-*bx);  {
       fu=(*func)(u);    int i,j=0;
     }    int lg=20;
     SHFT(*ax,*bx,*cx,u)    i=0;
       SHFT(*fa,*fb,*fc,fu)    lg=strlen(s);
       }    for(i=0; i<= lg; i++) {
 }    if  (s[i] == occ ) j++;
     }
 /*************** linmin ************************/    return j;
   }
 int ncom;  
 double *pcom,*xicom;  void cutv(char *u,char *v, char*t, char occ)
 double (*nrfunc)(double []);  {
      /* cuts string t into u and v where u ends before first occurence of char 'occ' 
 void linmin(double p[], double xi[], int n, double *fret,double (*func)(double []))       and v starts after first occurence of char 'occ' : ex cutv(u,v,"abcdef2ghi2j",'2')
 {       gives u="abcedf" and v="ghi2j" */
   double brent(double ax, double bx, double cx,    int i,lg,j,p=0;
                double (*f)(double), double tol, double *xmin);    i=0;
   double f1dim(double x);    for(j=0; j<=strlen(t)-1; j++) {
   void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb,      if((t[j]!= occ) && (t[j+1]== occ)) p=j+1;
               double *fc, double (*func)(double));    }
   int j;  
   double xx,xmin,bx,ax;    lg=strlen(t);
   double fx,fb,fa;    for(j=0; j<p; j++) {
        (u[j] = t[j]);
   ncom=n;    }
   pcom=vector(1,n);       u[p]='\0';
   xicom=vector(1,n);  
   nrfunc=func;     for(j=0; j<= lg; j++) {
   for (j=1;j<=n;j++) {      if (j>=(p+1))(v[j-p-1] = t[j]);
     pcom[j]=p[j];    }
     xicom[j]=xi[j];  }
   }  
   ax=0.0;  /********************** nrerror ********************/
   xx=1.0;  
   mnbrak(&ax,&xx,&bx,&fa,&fx,&fb,f1dim);  void nrerror(char error_text[])
   *fret=brent(ax,xx,bx,f1dim,TOL,&xmin);  {
 #ifdef DEBUG    fprintf(stderr,"ERREUR ...\n");
   printf("retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);    fprintf(stderr,"%s\n",error_text);
 #endif    exit(EXIT_FAILURE);
   for (j=1;j<=n;j++) {  }
     xi[j] *= xmin;  /*********************** vector *******************/
     p[j] += xi[j];  double *vector(int nl, int nh)
   }  {
   free_vector(xicom,1,n);    double *v;
   free_vector(pcom,1,n);    v=(double *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(double)));
 }    if (!v) nrerror("allocation failure in vector");
     return v-nl+NR_END;
 /*************** powell ************************/  }
 void powell(double p[], double **xi, int n, double ftol, int *iter, double *fret,  
             double (*func)(double []))  /************************ free vector ******************/
 {  void free_vector(double*v, int nl, int nh)
   void linmin(double p[], double xi[], int n, double *fret,  {
               double (*func)(double []));    free((FREE_ARG)(v+nl-NR_END));
   int i,ibig,j;  }
   double del,t,*pt,*ptt,*xit;  
   double fp,fptt;  /************************ivector *******************************/
   double *xits;  int *ivector(long nl,long nh)
   pt=vector(1,n);  {
   ptt=vector(1,n);    int *v;
   xit=vector(1,n);    v=(int *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(int)));
   xits=vector(1,n);    if (!v) nrerror("allocation failure in ivector");
   *fret=(*func)(p);    return v-nl+NR_END;
   for (j=1;j<=n;j++) pt[j]=p[j];  }
   for (*iter=1;;++(*iter)) {  
     fp=(*fret);  /******************free ivector **************************/
     ibig=0;  void free_ivector(int *v, long nl, long nh)
     del=0.0;  {
     printf("\nPowell iter=%d -2*LL=%.12f",*iter,*fret);    free((FREE_ARG)(v+nl-NR_END));
     for (i=1;i<=n;i++)  }
       printf(" %d %.12f",i, p[i]);  
     printf("\n");  /************************lvector *******************************/
     for (i=1;i<=n;i++) {  long *lvector(long nl,long nh)
       for (j=1;j<=n;j++) xit[j]=xi[j][i];  {
       fptt=(*fret);    long *v;
 #ifdef DEBUG    v=(long *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(long)));
       printf("fret=%lf \n",*fret);    if (!v) nrerror("allocation failure in ivector");
 #endif    return v-nl+NR_END;
       printf("%d",i);fflush(stdout);  }
       linmin(p,xit,n,fret,func);  
       if (fabs(fptt-(*fret)) > del) {  /******************free lvector **************************/
         del=fabs(fptt-(*fret));  void free_lvector(long *v, long nl, long nh)
         ibig=i;  {
       }    free((FREE_ARG)(v+nl-NR_END));
 #ifdef DEBUG  }
       printf("%d %.12e",i,(*fret));  
       for (j=1;j<=n;j++) {  /******************* imatrix *******************************/
         xits[j]=FMAX(fabs(p[j]-pt[j]),1.e-5);  int **imatrix(long nrl, long nrh, long ncl, long nch) 
         printf(" x(%d)=%.12e",j,xit[j]);       /* allocate a int matrix with subscript range m[nrl..nrh][ncl..nch] */ 
       }  { 
       for(j=1;j<=n;j++)    long i, nrow=nrh-nrl+1,ncol=nch-ncl+1; 
         printf(" p=%.12e",p[j]);    int **m; 
       printf("\n");    
 #endif    /* allocate pointers to rows */ 
     }    m=(int **) malloc((size_t)((nrow+NR_END)*sizeof(int*))); 
     if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret))) {    if (!m) nrerror("allocation failure 1 in matrix()"); 
 #ifdef DEBUG    m += NR_END; 
       int k[2],l;    m -= nrl; 
       k[0]=1;    
       k[1]=-1;    
       printf("Max: %.12e",(*func)(p));    /* allocate rows and set pointers to them */ 
       for (j=1;j<=n;j++)    m[nrl]=(int *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(int))); 
         printf(" %.12e",p[j]);    if (!m[nrl]) nrerror("allocation failure 2 in matrix()"); 
       printf("\n");    m[nrl] += NR_END; 
       for(l=0;l<=1;l++) {    m[nrl] -= ncl; 
         for (j=1;j<=n;j++) {    
           ptt[j]=p[j]+(p[j]-pt[j])*k[l];    for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol; 
           printf("l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);    
         }    /* return pointer to array of pointers to rows */ 
         printf("func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));    return m; 
       }  } 
 #endif  
   /****************** free_imatrix *************************/
   void free_imatrix(m,nrl,nrh,ncl,nch)
       free_vector(xit,1,n);        int **m;
       free_vector(xits,1,n);        long nch,ncl,nrh,nrl; 
       free_vector(ptt,1,n);       /* free an int matrix allocated by imatrix() */ 
       free_vector(pt,1,n);  { 
       return;    free((FREE_ARG) (m[nrl]+ncl-NR_END)); 
     }    free((FREE_ARG) (m+nrl-NR_END)); 
     if (*iter == ITMAX) nrerror("powell exceeding maximum iterations.");  } 
     for (j=1;j<=n;j++) {  
       ptt[j]=2.0*p[j]-pt[j];  /******************* matrix *******************************/
       xit[j]=p[j]-pt[j];  double **matrix(long nrl, long nrh, long ncl, long nch)
       pt[j]=p[j];  {
     }    long i, nrow=nrh-nrl+1, ncol=nch-ncl+1;
     fptt=(*func)(ptt);    double **m;
     if (fptt < fp) {  
       t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)-del*SQR(fp-fptt);    m=(double **) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
       if (t < 0.0) {    if (!m) nrerror("allocation failure 1 in matrix()");
         linmin(p,xit,n,fret,func);    m += NR_END;
         for (j=1;j<=n;j++) {    m -= nrl;
           xi[j][ibig]=xi[j][n];  
           xi[j][n]=xit[j];    m[nrl]=(double *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
         }    if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
 #ifdef DEBUG    m[nrl] += NR_END;
         printf("Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);    m[nrl] -= ncl;
         for(j=1;j<=n;j++)  
           printf(" %.12e",xit[j]);    for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
         printf("\n");    return m;
 #endif    /* print *(*(m+1)+70) or print m[1][70]; print m+1 or print &(m[1]) 
       }     */
     }  }
   }  
 }  /*************************free matrix ************************/
   void free_matrix(double **m, long nrl, long nrh, long ncl, long nch)
 /**** Prevalence limit ****************/  {
     free((FREE_ARG)(m[nrl]+ncl-NR_END));
 double **prevalim(double **prlim, int nlstate, double x[], double age, double **oldm, double **savm, double ftolpl, int ij)    free((FREE_ARG)(m+nrl-NR_END));
 {  }
   /* Computes the prevalence limit in each live state at age x by left multiplying the unit  
      matrix by transitions matrix until convergence is reached */  /******************* ma3x *******************************/
   double ***ma3x(long nrl, long nrh, long ncl, long nch, long nll, long nlh)
   int i, ii,j,k;  {
   double min, max, maxmin, maxmax,sumnew=0.;    long i, j, nrow=nrh-nrl+1, ncol=nch-ncl+1, nlay=nlh-nll+1;
   double **matprod2();    double ***m;
   double **out, cov[NCOVMAX], **pmij();  
   double **newm;    m=(double ***) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
   double agefin, delaymax=50 ; /* Max number of years to converge */    if (!m) nrerror("allocation failure 1 in matrix()");
     m += NR_END;
   for (ii=1;ii<=nlstate+ndeath;ii++)    m -= nrl;
     for (j=1;j<=nlstate+ndeath;j++){  
       oldm[ii][j]=(ii==j ? 1.0 : 0.0);    m[nrl]=(double **) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
     }    if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
     m[nrl] += NR_END;
    cov[1]=1.;    m[nrl] -= ncl;
    
  /* Even if hstepm = 1, at least one multiplication by the unit matrix */    for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
   for(agefin=age-stepm/YEARM; agefin>=age-delaymax; agefin=agefin-stepm/YEARM){  
     newm=savm;    m[nrl][ncl]=(double *) malloc((size_t)((nrow*ncol*nlay+NR_END)*sizeof(double)));
     /* Covariates have to be included here again */    if (!m[nrl][ncl]) nrerror("allocation failure 3 in matrix()");
      cov[2]=agefin;    m[nrl][ncl] += NR_END;
      m[nrl][ncl] -= nll;
       for (k=1; k<=cptcovn;k++) {    for (j=ncl+1; j<=nch; j++) 
         cov[2+k]=nbcode[Tvar[k]][codtab[ij][Tvar[k]]];      m[nrl][j]=m[nrl][j-1]+nlay;
         /*printf("ij=%d Tvar[k]=%d nbcode=%d cov=%lf\n",ij, Tvar[k],nbcode[Tvar[k]][codtab[ij][Tvar[k]]],cov[2+k]);*/    
       }    for (i=nrl+1; i<=nrh; i++) {
       for (k=1; k<=cptcovage;k++)      m[i][ncl]=m[i-1l][ncl]+ncol*nlay;
         cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2];      for (j=ncl+1; j<=nch; j++) 
       for (k=1; k<=cptcovprod;k++)        m[i][j]=m[i][j-1]+nlay;
         cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]]*nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]];    }
     return m; 
       /*printf("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/    /*  gdb: p *(m+1) <=> p m[1] and p (m+1) <=> p (m+1) <=> p &(m[1])
              &(m[i][j][k]) <=> *((*(m+i) + j)+k)
       /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/    */
   }
     out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm);  
   /*************************free ma3x ************************/
     savm=oldm;  void free_ma3x(double ***m, long nrl, long nrh, long ncl, long nch,long nll, long nlh)
     oldm=newm;  {
     maxmax=0.;    free((FREE_ARG)(m[nrl][ncl]+ nll-NR_END));
     for(j=1;j<=nlstate;j++){    free((FREE_ARG)(m[nrl]+ncl-NR_END));
       min=1.;    free((FREE_ARG)(m+nrl-NR_END));
       max=0.;  }
       for(i=1; i<=nlstate; i++) {  
         sumnew=0;  /*************** function subdirf ***********/
         for(k=1; k<=ndeath; k++) sumnew+=newm[i][nlstate+k];  char *subdirf(char fileres[])
         prlim[i][j]= newm[i][j]/(1-sumnew);  {
         max=FMAX(max,prlim[i][j]);    /* Caution optionfilefiname is hidden */
         min=FMIN(min,prlim[i][j]);    strcpy(tmpout,optionfilefiname);
       }    strcat(tmpout,"/"); /* Add to the right */
       maxmin=max-min;    strcat(tmpout,fileres);
       maxmax=FMAX(maxmax,maxmin);    return tmpout;
     }  }
     if(maxmax < ftolpl){  
       return prlim;  /*************** function subdirf2 ***********/
     }  char *subdirf2(char fileres[], char *preop)
   }  {
 }    
     /* Caution optionfilefiname is hidden */
 /*************** transition probabilities **********/    strcpy(tmpout,optionfilefiname);
     strcat(tmpout,"/");
 double **pmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )    strcat(tmpout,preop);
 {    strcat(tmpout,fileres);
   double s1, s2;    return tmpout;
   /*double t34;*/  }
   int i,j,j1, nc, ii, jj;  
   /*************** function subdirf3 ***********/
     for(i=1; i<= nlstate; i++){  char *subdirf3(char fileres[], char *preop, char *preop2)
     for(j=1; j<i;j++){  {
       for (nc=1, s2=0.;nc <=ncovmodel; nc++){    
         /*s2 += param[i][j][nc]*cov[nc];*/    /* Caution optionfilefiname is hidden */
         s2 += x[(i-1)*nlstate*ncovmodel+(j-1)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];    strcpy(tmpout,optionfilefiname);
         /*printf("Int j<i s1=%.17e, s2=%.17e\n",s1,s2);*/    strcat(tmpout,"/");
       }    strcat(tmpout,preop);
       ps[i][j]=s2;    strcat(tmpout,preop2);
       /*printf("s1=%.17e, s2=%.17e\n",s1,s2);*/    strcat(tmpout,fileres);
     }    return tmpout;
     for(j=i+1; j<=nlstate+ndeath;j++){  }
       for (nc=1, s2=0.;nc <=ncovmodel; nc++){  
         s2 += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];  /***************** f1dim *************************/
         /*printf("Int j>i s1=%.17e, s2=%.17e %lx %lx\n",s1,s2,s1,s2);*/  extern int ncom; 
       }  extern double *pcom,*xicom;
       ps[i][j]=s2;  extern double (*nrfunc)(double []); 
     }   
   }  double f1dim(double x) 
   for(i=1; i<= nlstate; i++){  { 
      s1=0;    int j; 
     for(j=1; j<i; j++)    double f;
       s1+=exp(ps[i][j]);    double *xt; 
     for(j=i+1; j<=nlstate+ndeath; j++)   
       s1+=exp(ps[i][j]);    xt=vector(1,ncom); 
     ps[i][i]=1./(s1+1.);    for (j=1;j<=ncom;j++) xt[j]=pcom[j]+x*xicom[j]; 
     for(j=1; j<i; j++)    f=(*nrfunc)(xt); 
       ps[i][j]= exp(ps[i][j])*ps[i][i];    free_vector(xt,1,ncom); 
     for(j=i+1; j<=nlstate+ndeath; j++)    return f; 
       ps[i][j]= exp(ps[i][j])*ps[i][i];  } 
     /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */  
   } /* end i */  /*****************brent *************************/
   double brent(double ax, double bx, double cx, double (*f)(double), double tol,  double *xmin) 
   for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){  { 
     for(jj=1; jj<= nlstate+ndeath; jj++){    int iter; 
       ps[ii][jj]=0;    double a,b,d,etemp;
       ps[ii][ii]=1;    double fu,fv,fw,fx;
     }    double ftemp;
   }    double p,q,r,tol1,tol2,u,v,w,x,xm; 
     double e=0.0; 
   /*   for(ii=1; ii<= nlstate+ndeath; ii++){   
     for(jj=1; jj<= nlstate+ndeath; jj++){    a=(ax < cx ? ax : cx); 
      printf("%lf ",ps[ii][jj]);    b=(ax > cx ? ax : cx); 
    }    x=w=v=bx; 
     printf("\n ");    fw=fv=fx=(*f)(x); 
     }    for (iter=1;iter<=ITMAX;iter++) { 
     printf("\n ");printf("%lf ",cov[2]);*/      xm=0.5*(a+b); 
 /*      tol2=2.0*(tol1=tol*fabs(x)+ZEPS); 
   for(i=1; i<= npar; i++) printf("%f ",x[i]);      /*          if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret)))*/
   goto end;*/      printf(".");fflush(stdout);
     return ps;      fprintf(ficlog,".");fflush(ficlog);
 }  #ifdef DEBUG
       printf("br %d,x=%.10e xm=%.10e b=%.10e a=%.10e tol=%.10e tol1=%.10e tol2=%.10e x-xm=%.10e fx=%.12e fu=%.12e,fw=%.12e,ftemp=%.12e,ftol=%.12e\n",iter,x,xm,b,a,tol,tol1,tol2,(x-xm),fx,fu,fw,ftemp,ftol);
 /**************** Product of 2 matrices ******************/      fprintf(ficlog,"br %d,x=%.10e xm=%.10e b=%.10e a=%.10e tol=%.10e tol1=%.10e tol2=%.10e x-xm=%.10e fx=%.12e fu=%.12e,fw=%.12e,ftemp=%.12e,ftol=%.12e\n",iter,x,xm,b,a,tol,tol1,tol2,(x-xm),fx,fu,fw,ftemp,ftol);
       /*          if ((fabs(x-xm) <= (tol2-0.5*(b-a)))||(2.0*fabs(fu-ftemp) <= ftol*1.e-2*(fabs(fu)+fabs(ftemp)))) { */
 double **matprod2(double **out, double **in,long nrl, long nrh, long ncl, long nch, long ncolol, long ncoloh, double **b)  #endif
 {      if (fabs(x-xm) <= (tol2-0.5*(b-a))){ 
   /* Computes the matric product of in(1,nrh-nrl+1)(1,nch-ncl+1) times        *xmin=x; 
      b(1,nch-ncl+1)(1,ncoloh-ncolol+1) into out(...) */        return fx; 
   /* in, b, out are matrice of pointers which should have been initialized      } 
      before: only the contents of out is modified. The function returns      ftemp=fu;
      a pointer to pointers identical to out */      if (fabs(e) > tol1) { 
   long i, j, k;        r=(x-w)*(fx-fv); 
   for(i=nrl; i<= nrh; i++)        q=(x-v)*(fx-fw); 
     for(k=ncolol; k<=ncoloh; k++)        p=(x-v)*q-(x-w)*r; 
       for(j=ncl,out[i][k]=0.; j<=nch; j++)        q=2.0*(q-r); 
         out[i][k] +=in[i][j]*b[j][k];        if (q > 0.0) p = -p; 
         q=fabs(q); 
   return out;        etemp=e; 
 }        e=d; 
         if (fabs(p) >= fabs(0.5*q*etemp) || p <= q*(a-x) || p >= q*(b-x)) 
           d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
 /************* Higher Matrix Product ***************/        else { 
           d=p/q; 
 double ***hpxij(double ***po, int nhstepm, double age, int hstepm, double *x, int nlstate, int stepm, double **oldm, double **savm, int ij )          u=x+d; 
 {          if (u-a < tol2 || b-u < tol2) 
   /* Computes the transition matrix starting at age 'age' over 'nhstepm*hstepm*stepm' month            d=SIGN(tol1,xm-x); 
      duration (i.e. until        } 
      age (in years)  age+nhstepm*stepm/12) by multiplying nhstepm*hstepm matrices.      } else { 
      Output is stored in matrix po[i][j][h] for h every 'hstepm' step        d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
      (typically every 2 years instead of every month which is too big).      } 
      Model is determined by parameters x and covariates have to be      u=(fabs(d) >= tol1 ? x+d : x+SIGN(tol1,d)); 
      included manually here.      fu=(*f)(u); 
       if (fu <= fx) { 
      */        if (u >= x) a=x; else b=x; 
         SHFT(v,w,x,u) 
   int i, j, d, h, k;          SHFT(fv,fw,fx,fu) 
   double **out, cov[NCOVMAX];          } else { 
   double **newm;            if (u < x) a=u; else b=u; 
             if (fu <= fw || w == x) { 
   /* Hstepm could be zero and should return the unit matrix */              v=w; 
   for (i=1;i<=nlstate+ndeath;i++)              w=u; 
     for (j=1;j<=nlstate+ndeath;j++){              fv=fw; 
       oldm[i][j]=(i==j ? 1.0 : 0.0);              fw=fu; 
       po[i][j][0]=(i==j ? 1.0 : 0.0);            } else if (fu <= fv || v == x || v == w) { 
     }              v=u; 
   /* Even if hstepm = 1, at least one multiplication by the unit matrix */              fv=fu; 
   for(h=1; h <=nhstepm; h++){            } 
     for(d=1; d <=hstepm; d++){          } 
       newm=savm;    } 
       /* Covariates have to be included here again */    nrerror("Too many iterations in brent"); 
       cov[1]=1.;    *xmin=x; 
       cov[2]=age+((h-1)*hstepm + (d-1))*stepm/YEARM;    return fx; 
       for (k=1; k<=cptcovn;k++) cov[2+k]=nbcode[Tvar[k]][codtab[ij][Tvar[k]]];  } 
 for (k=1; k<=cptcovage;k++)  
         cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2];  /****************** mnbrak ***********************/
    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]]];  void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, double *fc, 
               double (*func)(double)) 
   { 
       /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/    double ulim,u,r,q, dum;
       /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/    double fu; 
       out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath,   
                    pmij(pmmij,cov,ncovmodel,x,nlstate));    *fa=(*func)(*ax); 
       savm=oldm;    *fb=(*func)(*bx); 
       oldm=newm;    if (*fb > *fa) { 
     }      SHFT(dum,*ax,*bx,dum) 
     for(i=1; i<=nlstate+ndeath; i++)        SHFT(dum,*fb,*fa,dum) 
       for(j=1;j<=nlstate+ndeath;j++) {        } 
         po[i][j][h]=newm[i][j];    *cx=(*bx)+GOLD*(*bx-*ax); 
         /*printf("i=%d j=%d h=%d po[i][j][h]=%f ",i,j,h,po[i][j][h]);    *fc=(*func)(*cx); 
          */    while (*fb > *fc) { 
       }      r=(*bx-*ax)*(*fb-*fc); 
   } /* end h */      q=(*bx-*cx)*(*fb-*fa); 
   return po;      u=(*bx)-((*bx-*cx)*q-(*bx-*ax)*r)/ 
 }        (2.0*SIGN(FMAX(fabs(q-r),TINY),q-r)); 
       ulim=(*bx)+GLIMIT*(*cx-*bx); 
       if ((*bx-u)*(u-*cx) > 0.0) { 
 /*************** log-likelihood *************/        fu=(*func)(u); 
 double func( double *x)      } else if ((*cx-u)*(u-ulim) > 0.0) { 
 {        fu=(*func)(u); 
   int i, ii, j, k, mi, d, kk;        if (fu < *fc) { 
   double l, ll[NLSTATEMAX], cov[NCOVMAX];          SHFT(*bx,*cx,u,*cx+GOLD*(*cx-*bx)) 
   double **out;            SHFT(*fb,*fc,fu,(*func)(u)) 
   double sw; /* Sum of weights */            } 
   double lli; /* Individual log likelihood */      } else if ((u-ulim)*(ulim-*cx) >= 0.0) { 
   long ipmx;        u=ulim; 
   /*extern weight */        fu=(*func)(u); 
   /* We are differentiating ll according to initial status */      } else { 
   /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/        u=(*cx)+GOLD*(*cx-*bx); 
   /*for(i=1;i<imx;i++)        fu=(*func)(u); 
 printf(" %d\n",s[4][i]);      } 
   */      SHFT(*ax,*bx,*cx,u) 
   cov[1]=1.;        SHFT(*fa,*fb,*fc,fu) 
         } 
   for(k=1; k<=nlstate; k++) ll[k]=0.;  } 
   for (i=1,ipmx=0, sw=0.; i<=imx; i++){  
     for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];  /*************** linmin ************************/
        for(mi=1; mi<= wav[i]-1; mi++){  
       for (ii=1;ii<=nlstate+ndeath;ii++)  int ncom; 
         for (j=1;j<=nlstate+ndeath;j++) oldm[ii][j]=(ii==j ? 1.0 : 0.0);  double *pcom,*xicom;
             for(d=0; d<dh[mi][i]; d++){  double (*nrfunc)(double []); 
               newm=savm;   
               cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;  void linmin(double p[], double xi[], int n, double *fret,double (*func)(double [])) 
               for (kk=1; kk<=cptcovage;kk++) {  { 
                  cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];    double brent(double ax, double bx, double cx, 
                  /*printf("%d %d",kk,Tage[kk]);*/                 double (*f)(double), double tol, double *xmin); 
               }    double f1dim(double x); 
               /*cov[4]=covar[1][i]*cov[2];scanf("%d", i);*/    void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, 
               /*cov[3]=pow(cov[2],2)/1000.;*/                double *fc, double (*func)(double)); 
     int j; 
           out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,    double xx,xmin,bx,ax; 
                        1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));    double fx,fb,fa;
           savm=oldm;   
           oldm=newm;    ncom=n; 
     pcom=vector(1,n); 
     xicom=vector(1,n); 
       } /* end mult */    nrfunc=func; 
        for (j=1;j<=n;j++) { 
       lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);      pcom[j]=p[j]; 
       /* printf(" %f ",out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);*/      xicom[j]=xi[j]; 
       ipmx +=1;    } 
       sw += weight[i];    ax=0.0; 
       ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;    xx=1.0; 
     } /* end of wave */    mnbrak(&ax,&xx,&bx,&fa,&fx,&fb,f1dim); 
   } /* end of individual */    *fret=brent(ax,xx,bx,f1dim,TOL,&xmin); 
   #ifdef DEBUG
   for(k=1,l=0.; k<=nlstate; k++) l += ll[k];    printf("retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);
   /* printf("l1=%f l2=%f ",ll[1],ll[2]); */    fprintf(ficlog,"retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);
   l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */  #endif
   return -l;    for (j=1;j<=n;j++) { 
 }      xi[j] *= xmin; 
       p[j] += xi[j]; 
     } 
 /*********** Maximum Likelihood Estimation ***************/    free_vector(xicom,1,n); 
     free_vector(pcom,1,n); 
 void mlikeli(FILE *ficres,double p[], int npar, int ncovmodel, int nlstate, double ftol, double (*func)(double []))  } 
 {  
   int i,j, iter;  char *asc_diff_time(long time_sec, char ascdiff[])
   double **xi,*delti;  {
   double fret;    long sec_left, days, hours, minutes;
   xi=matrix(1,npar,1,npar);    days = (time_sec) / (60*60*24);
   for (i=1;i<=npar;i++)    sec_left = (time_sec) % (60*60*24);
     for (j=1;j<=npar;j++)    hours = (sec_left) / (60*60) ;
       xi[i][j]=(i==j ? 1.0 : 0.0);    sec_left = (sec_left) %(60*60);
   printf("Powell\n");    minutes = (sec_left) /60;
   powell(p,xi,npar,ftol,&iter,&fret,func);    sec_left = (sec_left) % (60);
     sprintf(ascdiff,"%d day(s) %d hour(s) %d minute(s) %d second(s)",days, hours, minutes, sec_left);  
    printf("\n#Number of iterations = %d, -2 Log likelihood = %.12f\n",iter,func(p));    return ascdiff;
   fprintf(ficres,"#Number of iterations = %d, -2 Log likelihood = %.12f ",iter,func(p));  }
   
 }  /*************** powell ************************/
   void powell(double p[], double **xi, int n, double ftol, int *iter, double *fret, 
 /**** Computes Hessian and covariance matrix ***/              double (*func)(double [])) 
 void hesscov(double **matcov, double p[], int npar, double delti[], double ftolhess, double (*func)(double []))  { 
 {    void linmin(double p[], double xi[], int n, double *fret, 
   double  **a,**y,*x,pd;                double (*func)(double [])); 
   double **hess;    int i,ibig,j; 
   int i, j,jk;    double del,t,*pt,*ptt,*xit;
   int *indx;    double fp,fptt;
     double *xits;
   double hessii(double p[], double delta, int theta, double delti[]);    int niterf, itmp;
   double hessij(double p[], double delti[], int i, int j);  
   void lubksb(double **a, int npar, int *indx, double b[]) ;    pt=vector(1,n); 
   void ludcmp(double **a, int npar, int *indx, double *d) ;    ptt=vector(1,n); 
     xit=vector(1,n); 
     xits=vector(1,n); 
   hess=matrix(1,npar,1,npar);    *fret=(*func)(p); 
     for (j=1;j<=n;j++) pt[j]=p[j]; 
   printf("\nCalculation of the hessian matrix. Wait...\n");    for (*iter=1;;++(*iter)) { 
   for (i=1;i<=npar;i++){      fp=(*fret); 
     printf("%d",i);fflush(stdout);      ibig=0; 
     hess[i][i]=hessii(p,ftolhess,i,delti);      del=0.0; 
     /*printf(" %f ",p[i]);*/      last_time=curr_time;
   }      (void) gettimeofday(&curr_time,&tzp);
       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);
   for (i=1;i<=npar;i++) {      /*    fprintf(ficlog,"\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret, curr_time.tv_sec-last_time.tv_sec, curr_time.tv_sec-start_time.tv_sec);
     for (j=1;j<=npar;j++)  {      fprintf(ficrespow,"%d %.12f %ld",*iter,*fret,curr_time.tv_sec-start_time.tv_sec);
       if (j>i) {      */
         printf(".%d%d",i,j);fflush(stdout);     for (i=1;i<=n;i++) {
         hess[i][j]=hessij(p,delti,i,j);        printf(" %d %.12f",i, p[i]);
         hess[j][i]=hess[i][j];        fprintf(ficlog," %d %.12lf",i, p[i]);
       }        fprintf(ficrespow," %.12lf", p[i]);
     }      }
   }      printf("\n");
   printf("\n");      fprintf(ficlog,"\n");
       fprintf(ficrespow,"\n");fflush(ficrespow);
   printf("\nInverting the hessian to get the covariance matrix. Wait...\n");      if(*iter <=3){
          tm = *localtime(&curr_time.tv_sec);
   a=matrix(1,npar,1,npar);        strcpy(strcurr,asctime(&tm));
   y=matrix(1,npar,1,npar);  /*       asctime_r(&tm,strcurr); */
   x=vector(1,npar);        forecast_time=curr_time; 
   indx=ivector(1,npar);        itmp = strlen(strcurr);
   for (i=1;i<=npar;i++)        if(strcurr[itmp-1]=='\n')  /* Windows outputs with a new line */
     for (j=1;j<=npar;j++) a[i][j]=hess[i][j];          strcurr[itmp-1]='\0';
   ludcmp(a,npar,indx,&pd);        printf("\nConsidering the time needed for this last iteration #%d: %ld seconds,\n",*iter,curr_time.tv_sec-last_time.tv_sec);
         fprintf(ficlog,"\nConsidering the time needed for this last iteration #%d: %ld seconds,\n",*iter,curr_time.tv_sec-last_time.tv_sec);
   for (j=1;j<=npar;j++) {        for(niterf=10;niterf<=30;niterf+=10){
     for (i=1;i<=npar;i++) x[i]=0;          forecast_time.tv_sec=curr_time.tv_sec+(niterf-*iter)*(curr_time.tv_sec-last_time.tv_sec);
     x[j]=1;          tmf = *localtime(&forecast_time.tv_sec);
     lubksb(a,npar,indx,x);  /*      asctime_r(&tmf,strfor); */
     for (i=1;i<=npar;i++){          strcpy(strfor,asctime(&tmf));
       matcov[i][j]=x[i];          itmp = strlen(strfor);
     }          if(strfor[itmp-1]=='\n')
   }          strfor[itmp-1]='\0';
           printf("   - if your program needs %d iterations to converge, convergence will be \n   reached in %s i.e.\n   on %s (current time is %s);\n",niterf, asc_diff_time(forecast_time.tv_sec-curr_time.tv_sec,tmpout),strfor,strcurr);
   printf("\n#Hessian matrix#\n");          fprintf(ficlog,"   - if your program needs %d iterations to converge, convergence will be \n   reached in %s i.e.\n   on %s (current time is %s);\n",niterf, asc_diff_time(forecast_time.tv_sec-curr_time.tv_sec,tmpout),strfor,strcurr);
   for (i=1;i<=npar;i++) {        }
     for (j=1;j<=npar;j++) {      }
       printf("%.3e ",hess[i][j]);      for (i=1;i<=n;i++) { 
     }        for (j=1;j<=n;j++) xit[j]=xi[j][i]; 
     printf("\n");        fptt=(*fret); 
   }  #ifdef DEBUG
         printf("fret=%lf \n",*fret);
   /* Recompute Inverse */        fprintf(ficlog,"fret=%lf \n",*fret);
   for (i=1;i<=npar;i++)  #endif
     for (j=1;j<=npar;j++) a[i][j]=matcov[i][j];        printf("%d",i);fflush(stdout);
   ludcmp(a,npar,indx,&pd);        fprintf(ficlog,"%d",i);fflush(ficlog);
         linmin(p,xit,n,fret,func); 
   /*  printf("\n#Hessian matrix recomputed#\n");        if (fabs(fptt-(*fret)) > del) { 
           del=fabs(fptt-(*fret)); 
   for (j=1;j<=npar;j++) {          ibig=i; 
     for (i=1;i<=npar;i++) x[i]=0;        } 
     x[j]=1;  #ifdef DEBUG
     lubksb(a,npar,indx,x);        printf("%d %.12e",i,(*fret));
     for (i=1;i<=npar;i++){        fprintf(ficlog,"%d %.12e",i,(*fret));
       y[i][j]=x[i];        for (j=1;j<=n;j++) {
       printf("%.3e ",y[i][j]);          xits[j]=FMAX(fabs(p[j]-pt[j]),1.e-5);
     }          printf(" x(%d)=%.12e",j,xit[j]);
     printf("\n");          fprintf(ficlog," x(%d)=%.12e",j,xit[j]);
   }        }
   */        for(j=1;j<=n;j++) {
           printf(" p=%.12e",p[j]);
   free_matrix(a,1,npar,1,npar);          fprintf(ficlog," p=%.12e",p[j]);
   free_matrix(y,1,npar,1,npar);        }
   free_vector(x,1,npar);        printf("\n");
   free_ivector(indx,1,npar);        fprintf(ficlog,"\n");
   free_matrix(hess,1,npar,1,npar);  #endif
       } 
       if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret))) {
 }  #ifdef DEBUG
         int k[2],l;
 /*************** hessian matrix ****************/        k[0]=1;
 double hessii( double x[], double delta, int theta, double delti[])        k[1]=-1;
 {        printf("Max: %.12e",(*func)(p));
   int i;        fprintf(ficlog,"Max: %.12e",(*func)(p));
   int l=1, lmax=20;        for (j=1;j<=n;j++) {
   double k1,k2;          printf(" %.12e",p[j]);
   double p2[NPARMAX+1];          fprintf(ficlog," %.12e",p[j]);
   double res;        }
   double delt, delts, nkhi=10.,nkhif=1., khi=1.e-4;        printf("\n");
   double fx;        fprintf(ficlog,"\n");
   int k=0,kmax=10;        for(l=0;l<=1;l++) {
   double l1;          for (j=1;j<=n;j++) {
             ptt[j]=p[j]+(p[j]-pt[j])*k[l];
   fx=func(x);            printf("l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
   for (i=1;i<=npar;i++) p2[i]=x[i];            fprintf(ficlog,"l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
   for(l=0 ; l <=lmax; l++){          }
     l1=pow(10,l);          printf("func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
     delts=delt;          fprintf(ficlog,"func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
     for(k=1 ; k <kmax; k=k+1){        }
       delt = delta*(l1*k);  #endif
       p2[theta]=x[theta] +delt;  
       k1=func(p2)-fx;  
       p2[theta]=x[theta]-delt;        free_vector(xit,1,n); 
       k2=func(p2)-fx;        free_vector(xits,1,n); 
       /*res= (k1-2.0*fx+k2)/delt/delt; */        free_vector(ptt,1,n); 
       res= (k1+k2)/delt/delt/2.; /* Divided by because L and not 2*L */        free_vector(pt,1,n); 
              return; 
 #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);      if (*iter == ITMAX) nrerror("powell exceeding maximum iterations."); 
 #endif      for (j=1;j<=n;j++) { 
       /*if(fabs(k1-2.0*fx+k2) <1.e-13){ */        ptt[j]=2.0*p[j]-pt[j]; 
       if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)){        xit[j]=p[j]-pt[j]; 
         k=kmax;        pt[j]=p[j]; 
       }      } 
       else if((k1 >khi/nkhif) || (k2 >khi/nkhif)){ /* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. */      fptt=(*func)(ptt); 
         k=kmax; l=lmax*10.;      if (fptt < fp) { 
       }        t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)-del*SQR(fp-fptt); 
       else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){        if (t < 0.0) { 
         delts=delt;          linmin(p,xit,n,fret,func); 
       }          for (j=1;j<=n;j++) { 
     }            xi[j][ibig]=xi[j][n]; 
   }            xi[j][n]=xit[j]; 
   delti[theta]=delts;          }
   return res;  #ifdef DEBUG
            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<=n;j++){
 double hessij( double x[], double delti[], int thetai,int thetaj)            printf(" %.12e",xit[j]);
 {            fprintf(ficlog," %.12e",xit[j]);
   int i;          }
   int l=1, l1, lmax=20;          printf("\n");
   double k1,k2,k3,k4,res,fx;          fprintf(ficlog,"\n");
   double p2[NPARMAX+1];  #endif
   int k;        }
       } 
   fx=func(x);    } 
   for (k=1; k<=2; k++) {  } 
     for (i=1;i<=npar;i++) p2[i]=x[i];  
     p2[thetai]=x[thetai]+delti[thetai]/k;  /**** Prevalence limit (stable prevalence)  ****************/
     p2[thetaj]=x[thetaj]+delti[thetaj]/k;  
     k1=func(p2)-fx;  double **prevalim(double **prlim, int nlstate, double x[], double age, double **oldm, double **savm, double ftolpl, int ij)
    {
     p2[thetai]=x[thetai]+delti[thetai]/k;    /* Computes the prevalence limit in each live state at age x by left multiplying the unit
     p2[thetaj]=x[thetaj]-delti[thetaj]/k;       matrix by transitions matrix until convergence is reached */
     k2=func(p2)-fx;  
      int i, ii,j,k;
     p2[thetai]=x[thetai]-delti[thetai]/k;    double min, max, maxmin, maxmax,sumnew=0.;
     p2[thetaj]=x[thetaj]+delti[thetaj]/k;    double **matprod2();
     k3=func(p2)-fx;    double **out, cov[NCOVMAX], **pmij();
      double **newm;
     p2[thetai]=x[thetai]-delti[thetai]/k;    double agefin, delaymax=50 ; /* Max number of years to converge */
     p2[thetaj]=x[thetaj]-delti[thetaj]/k;  
     k4=func(p2)-fx;    for (ii=1;ii<=nlstate+ndeath;ii++)
     res=(k1-k2-k3+k4)/4.0/delti[thetai]*k/delti[thetaj]*k/2.; /* Because of L not 2*L */      for (j=1;j<=nlstate+ndeath;j++){
 #ifdef DEBUG        oldm[ii][j]=(ii==j ? 1.0 : 0.0);
     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  
   }     cov[1]=1.;
   return res;   
 }   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
     for(agefin=age-stepm/YEARM; agefin>=age-delaymax; agefin=agefin-stepm/YEARM){
 /************** Inverse of matrix **************/      newm=savm;
 void ludcmp(double **a, int n, int *indx, double *d)      /* Covariates have to be included here again */
 {       cov[2]=agefin;
   int i,imax,j,k;    
   double big,dum,sum,temp;        for (k=1; k<=cptcovn;k++) {
   double *vv;          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]]);*/
   vv=vector(1,n);        }
   *d=1.0;        for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2];
   for (i=1;i<=n;i++) {        for (k=1; k<=cptcovprod;k++)
     big=0.0;          cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]]*nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]];
     for (j=1;j<=n;j++)  
       if ((temp=fabs(a[i][j])) > big) big=temp;        /*printf("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/
     if (big == 0.0) nrerror("Singular matrix in routine ludcmp");        /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/
     vv[i]=1.0/big;        /*printf("ij=%d cov[3]=%lf \n",ij, cov[3]);*/
   }      out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm);
   for (j=1;j<=n;j++) {  
     for (i=1;i<j;i++) {      savm=oldm;
       sum=a[i][j];      oldm=newm;
       for (k=1;k<i;k++) sum -= a[i][k]*a[k][j];      maxmax=0.;
       a[i][j]=sum;      for(j=1;j<=nlstate;j++){
     }        min=1.;
     big=0.0;        max=0.;
     for (i=j;i<=n;i++) {        for(i=1; i<=nlstate; i++) {
       sum=a[i][j];          sumnew=0;
       for (k=1;k<j;k++)          for(k=1; k<=ndeath; k++) sumnew+=newm[i][nlstate+k];
         sum -= a[i][k]*a[k][j];          prlim[i][j]= newm[i][j]/(1-sumnew);
       a[i][j]=sum;          max=FMAX(max,prlim[i][j]);
       if ( (dum=vv[i]*fabs(sum)) >= big) {          min=FMIN(min,prlim[i][j]);
         big=dum;        }
         imax=i;        maxmin=max-min;
       }        maxmax=FMAX(maxmax,maxmin);
     }      }
     if (j != imax) {      if(maxmax < ftolpl){
       for (k=1;k<=n;k++) {        return prlim;
         dum=a[imax][k];      }
         a[imax][k]=a[j][k];    }
         a[j][k]=dum;  }
       }  
       *d = -(*d);  /*************** transition probabilities ***************/ 
       vv[imax]=vv[j];  
     }  double **pmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )
     indx[j]=imax;  {
     if (a[j][j] == 0.0) a[j][j]=TINY;    double s1, s2;
     if (j != n) {    /*double t34;*/
       dum=1.0/(a[j][j]);    int i,j,j1, nc, ii, jj;
       for (i=j+1;i<=n;i++) a[i][j] *= dum;  
     }      for(i=1; i<= nlstate; i++){
   }        for(j=1; j<i;j++){
   free_vector(vv,1,n);  /* Doesn't work */          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];
   /*       printf("Int j<i s1=%.17e, s2=%.17e\n",s1,s2); */
 void lubksb(double **a, int n, int *indx, double b[])          }
 {          ps[i][j]=s2;
   int i,ii=0,ip,j;  /*      printf("s1=%.17e, s2=%.17e\n",s1,s2); */
   double sum;        }
          for(j=i+1; j<=nlstate+ndeath;j++){
   for (i=1;i<=n;i++) {          for (nc=1, s2=0.;nc <=ncovmodel; nc++){
     ip=indx[i];            s2 += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];
     sum=b[ip];  /*        printf("Int j>i s1=%.17e, s2=%.17e %lx %lx\n",s1,s2,s1,s2); */
     b[ip]=b[i];          }
     if (ii)          ps[i][j]=s2;
       for (j=ii;j<=i-1;j++) sum -= a[i][j]*b[j];        }
     else if (sum) ii=i;      }
     b[i]=sum;      /*ps[3][2]=1;*/
   }      
   for (i=n;i>=1;i--) {      for(i=1; i<= nlstate; i++){
     sum=b[i];        s1=0;
     for (j=i+1;j<=n;j++) sum -= a[i][j]*b[j];        for(j=1; j<i; j++)
     b[i]=sum/a[i][i];          s1+=exp(ps[i][j]);
   }        for(j=i+1; j<=nlstate+ndeath; j++)
 }          s1+=exp(ps[i][j]);
         ps[i][i]=1./(s1+1.);
 /************ Frequencies ********************/        for(j=1; j<i; j++)
 void  freqsummary(char fileres[], int agemin, int agemax, int **s, double **agev, int nlstate, int imx, int *Tvar, int **nbcode, int *ncodemax)          ps[i][j]= exp(ps[i][j])*ps[i][i];
 {  /* Some frequencies */        for(j=i+1; j<=nlstate+ndeath; j++)
            ps[i][j]= exp(ps[i][j])*ps[i][i];
   int i, m, jk, k1, i1, j1, bool, z1,z2,j;        /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */
   double ***freq; /* Frequencies */      } /* end i */
   double *pp;      
   double pos;      for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){
   FILE *ficresp;        for(jj=1; jj<= nlstate+ndeath; jj++){
   char fileresp[FILENAMELENGTH];          ps[ii][jj]=0;
           ps[ii][ii]=1;
   pp=vector(1,nlstate);        }
       }
   strcpy(fileresp,"p");      
   strcat(fileresp,fileres);  
   if((ficresp=fopen(fileresp,"w"))==NULL) {  /*        for(ii=1; ii<= nlstate+ndeath; ii++){ */
     printf("Problem with prevalence resultfile: %s\n", fileresp);  /*       for(jj=1; jj<= nlstate+ndeath; jj++){ */
     exit(0);  /*         printf("ddd %lf ",ps[ii][jj]); */
   }  /*       } */
   freq= ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,agemin,agemax+3);  /*       printf("\n "); */
   j1=0;  /*        } */
   /*        printf("\n ");printf("%lf ",cov[2]); */
   j=cptcoveff;         /*
   if (cptcovn<1) {j=1;ncodemax[1]=1;}        for(i=1; i<= npar; i++) printf("%f ",x[i]);
         goto end;*/
   for(k1=1; k1<=j;k1++){      return ps;
    for(i1=1; i1<=ncodemax[k1];i1++){  }
        j1++;  
   /**************** Product of 2 matrices ******************/
         for (i=-1; i<=nlstate+ndeath; i++)    
          for (jk=-1; jk<=nlstate+ndeath; jk++)    double **matprod2(double **out, double **in,long nrl, long nrh, long ncl, long nch, long ncolol, long ncoloh, double **b)
            for(m=agemin; m <= agemax+3; m++)  {
              freq[i][jk][m]=0;    /* Computes the matrix product of in(1,nrh-nrl+1)(1,nch-ncl+1) times
               b(1,nch-ncl+1)(1,ncoloh-ncolol+1) into out(...) */
        for (i=1; i<=imx; i++) {    /* in, b, out are matrice of pointers which should have been initialized 
          bool=1;       before: only the contents of out is modified. The function returns
          if  (cptcovn>0) {       a pointer to pointers identical to out */
            for (z1=1; z1<=cptcoveff; z1++)    long i, j, k;
              if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtab[j1][z1]]) bool=0;    for(i=nrl; i<= nrh; i++)
          }      for(k=ncolol; k<=ncoloh; k++)
           if (bool==1) {        for(j=ncl,out[i][k]=0.; j<=nch; j++)
            for(m=firstpass; m<=lastpass-1; m++){          out[i][k] +=in[i][j]*b[j][k];
              if(agev[m][i]==0) agev[m][i]=agemax+1;  
              if(agev[m][i]==1) agev[m][i]=agemax+2;    return out;
              freq[s[m][i]][s[m+1][i]][(int)agev[m][i]] += weight[i];  }
              freq[s[m][i]][s[m+1][i]][(int) agemax+3] += weight[i];  
            }  
          }  /************* Higher Matrix Product ***************/
        }  
         if  (cptcovn>0) {  double ***hpxij(double ***po, int nhstepm, double age, int hstepm, double *x, int nlstate, int stepm, double **oldm, double **savm, int ij )
          fprintf(ficresp, "\n#********** Variable ");  {
          for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresp, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);    /* Computes the transition matrix starting at age 'age' over 
        }       'nhstepm*hstepm*stepm' months (i.e. until
        fprintf(ficresp, "**********\n#");       age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying 
        for(i=1; i<=nlstate;i++)       nhstepm*hstepm matrices. 
          fprintf(ficresp, " Age Prev(%d) N(%d) N",i,i);       Output is stored in matrix po[i][j][h] for h every 'hstepm' step 
        fprintf(ficresp, "\n");       (typically every 2 years instead of every month which is too big 
               for the memory).
   for(i=(int)agemin; i <= (int)agemax+3; i++){       Model is determined by parameters x and covariates have to be 
     if(i==(int)agemax+3)       included manually here. 
       printf("Total");  
     else       */
       printf("Age %d", i);  
     for(jk=1; jk <=nlstate ; jk++){    int i, j, d, h, k;
       for(m=-1, pp[jk]=0; m <=nlstate+ndeath ; m++)    double **out, cov[NCOVMAX];
         pp[jk] += freq[jk][m][i];    double **newm;
     }  
     for(jk=1; jk <=nlstate ; jk++){    /* Hstepm could be zero and should return the unit matrix */
       for(m=-1, pos=0; m <=0 ; m++)    for (i=1;i<=nlstate+ndeath;i++)
         pos += freq[jk][m][i];      for (j=1;j<=nlstate+ndeath;j++){
       if(pp[jk]>=1.e-10)        oldm[i][j]=(i==j ? 1.0 : 0.0);
         printf(" %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);        po[i][j][0]=(i==j ? 1.0 : 0.0);
       else      }
         printf(" %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);    /* Even if hstepm = 1, at least one multiplication by the unit matrix */
     }    for(h=1; h <=nhstepm; h++){
     for(jk=1; jk <=nlstate ; jk++){      for(d=1; d <=hstepm; d++){
       for(m=1, pp[jk]=0; m <=nlstate+ndeath; m++)        newm=savm;
         pp[jk] += freq[jk][m][i];        /* Covariates have to be included here again */
     }        cov[1]=1.;
     for(jk=1,pos=0; jk <=nlstate ; jk++)        cov[2]=age+((h-1)*hstepm + (d-1))*stepm/YEARM;
       pos += pp[jk];        for (k=1; k<=cptcovn;k++) cov[2+k]=nbcode[Tvar[k]][codtab[ij][Tvar[k]]];
     for(jk=1; jk <=nlstate ; jk++){        for (k=1; k<=cptcovage;k++)
       if(pos>=1.e-5)          cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2];
         printf(" %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);        for (k=1; k<=cptcovprod;k++)
       else          cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]]*nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]];
         printf(" %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);  
       if( i <= (int) agemax){  
         if(pos>=1.e-5)        /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/
           fprintf(ficresp," %d %.5f %.0f %.0f",i,pp[jk]/pos, pp[jk],pos);        /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/
       else        out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, 
           fprintf(ficresp," %d NaNq %.0f %.0f",i,pp[jk],pos);                     pmij(pmmij,cov,ncovmodel,x,nlstate));
       }        savm=oldm;
     }        oldm=newm;
     for(jk=-1; jk <=nlstate+ndeath; jk++)      }
       for(m=-1; m <=nlstate+ndeath; m++)      for(i=1; i<=nlstate+ndeath; i++)
         if(freq[jk][m][i] !=0 ) printf(" %d%d=%.0f",jk,m,freq[jk][m][i]);        for(j=1;j<=nlstate+ndeath;j++) {
     if(i <= (int) agemax)          po[i][j][h]=newm[i][j];
       fprintf(ficresp,"\n");          /*printf("i=%d j=%d h=%d po[i][j][h]=%f ",i,j,h,po[i][j][h]);
     printf("\n");           */
     }        }
     }    } /* end h */
  }    return po;
    }
   fclose(ficresp);  
   free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath,(int) agemin,(int) agemax+3);  
   free_vector(pp,1,nlstate);  /*************** log-likelihood *************/
   double func( double *x)
 }  /* End of Freq */  {
     int i, ii, j, k, mi, d, kk;
 /************* Waves Concatenation ***************/    double l, ll[NLSTATEMAX], cov[NCOVMAX];
     double **out;
 void  concatwav(int wav[], int **dh, int **mw, int **s, double *agedc, double **agev, int  firstpass, int lastpass, int imx, int nlstate, int stepm)    double sw; /* Sum of weights */
 {    double lli; /* Individual log likelihood */
   /* Concatenates waves: wav[i] is the number of effective (useful waves) of individual i.    int s1, s2;
      Death is a valid wave (if date is known).    double bbh, survp;
      mw[mi][i] is the mi (mi=1 to wav[i])  effective wave of individual i    long ipmx;
      dh[m][i] of dh[mw[mi][i][i] is the delay between two effective waves m=mw[mi][i]    /*extern weight */
      and mw[mi+1][i]. dh depends on stepm.    /* We are differentiating ll according to initial status */
      */    /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
     /*for(i=1;i<imx;i++) 
   int i, mi, m;      printf(" %d\n",s[4][i]);
   int j, k=0,jk, ju, jl,jmin=1e+5, jmax=-1;    */
 float sum=0.;    cov[1]=1.;
   
   for(i=1; i<=imx; i++){    for(k=1; k<=nlstate; k++) ll[k]=0.;
     mi=0;  
     m=firstpass;    if(mle==1){
     while(s[m][i] <= nlstate){      for (i=1,ipmx=0, sw=0.; i<=imx; i++){
       if(s[m][i]>=1)        for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];
         mw[++mi][i]=m;        for(mi=1; mi<= wav[i]-1; mi++){
       if(m >=lastpass)          for (ii=1;ii<=nlstate+ndeath;ii++)
         break;            for (j=1;j<=nlstate+ndeath;j++){
       else              oldm[ii][j]=(ii==j ? 1.0 : 0.0);
         m++;              savm[ii][j]=(ii==j ? 1.0 : 0.0);
     }/* end while */            }
     if (s[m][i] > nlstate){          for(d=0; d<dh[mi][i]; d++){
       mi++;     /* Death is another wave */            newm=savm;
       /* if(mi==0)  never been interviewed correctly before death */            cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;
          /* Only death is a correct wave */            for (kk=1; kk<=cptcovage;kk++) {
       mw[mi][i]=m;              cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
     }            }
             out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
     wav[i]=mi;                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
     if(mi==0)            savm=oldm;
       printf("Warning, no any valid information for:%d line=%d\n",num[i],i);            oldm=newm;
   }          } /* end mult */
         
   for(i=1; i<=imx; i++){          /*lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);*/ /* Original formula */
     for(mi=1; mi<wav[i];mi++){          /* But now since version 0.9 we anticipate for bias at large stepm.
       if (stepm <=0)           * If stepm is larger than one month (smallest stepm) and if the exact delay 
         dh[mi][i]=1;           * (in months) between two waves is not a multiple of stepm, we rounded to 
       else{           * the nearest (and in case of equal distance, to the lowest) interval but now
         if (s[mw[mi+1][i]][i] > nlstate) {           * we keep into memory the bias bh[mi][i] and also the previous matrix product
           j= rint(agedc[i]*12-agev[mw[mi][i]][i]*12);           * (i.e to dh[mi][i]-1) saved in 'savm'. Then we inter(extra)polate the
           if(j=0) j=1;  /* Survives at least one month after exam */           * probability in order to take into account the bias as a fraction of the way
         }           * from savm to out if bh is negative or even beyond if bh is positive. bh varies
         else{           * -stepm/2 to stepm/2 .
           j= rint( (agev[mw[mi+1][i]][i]*12 - agev[mw[mi][i]][i]*12));           * For stepm=1 the results are the same as for previous versions of Imach.
           k=k+1;           * For stepm > 1 the results are less biased than in previous versions. 
           if (j >= jmax) jmax=j;           */
           else if (j <= jmin)jmin=j;          s1=s[mw[mi][i]][i];
           sum=sum+j;          s2=s[mw[mi+1][i]][i];
         }          bbh=(double)bh[mi][i]/(double)stepm; 
         jk= j/stepm;          /* bias bh is positive if real duration
         jl= j -jk*stepm;           * is higher than the multiple of stepm and negative otherwise.
         ju= j -(jk+1)*stepm;           */
         if(jl <= -ju)          /* lli= (savm[s1][s2]>1.e-8 ?(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]):log((1.+bbh)*out[s1][s2]));*/
           dh[mi][i]=jk;          if( s2 > nlstate){ 
         else            /* i.e. if s2 is a death state and if the date of death is known 
           dh[mi][i]=jk+1;               then the contribution to the likelihood is the probability to 
         if(dh[mi][i]==0)               die between last step unit time and current  step unit time, 
           dh[mi][i]=1; /* At least one step */               which is also equal to probability to die before dh 
       }               minus probability to die before dh-stepm . 
     }               In version up to 0.92 likelihood was computed
   }          as if date of death was unknown. Death was treated as any other
   printf("Delay (in months) between two waves Min=%d Max=%d Mean=%f\n\n ",jmin, jmax,sum/k);          health state: the date of the interview describes the actual state
 }          and not the date of a change in health state. The former idea was
 /*********** Tricode ****************************/          to consider that at each interview the state was recorded
 void tricode(int *Tvar, int **nbcode, int imx)          (healthy, disable or death) and IMaCh was corrected; but when we
 {          introduced the exact date of death then we should have modified
   int Ndum[20],ij=1, k, j, i;          the contribution of an exact death to the likelihood. This new
   int cptcode=0;          contribution is smaller and very dependent of the step unit
   cptcoveff=0;          stepm. It is no more the probability to die between last interview
            and month of death but the probability to survive from last
   for (k=0; k<19; k++) Ndum[k]=0;          interview up to one month before death multiplied by the
   for (k=1; k<=7; k++) ncodemax[k]=0;          probability to die within a month. Thanks to Chris
           Jackson for correcting this bug.  Former versions increased
   for (j=1; j<=(cptcovn+2*cptcovprod); j++) {          mortality artificially. The bad side is that we add another loop
     for (i=1; i<=imx; i++) {          which slows down the processing. The difference can be up to 10%
       ij=(int)(covar[Tvar[j]][i]);          lower mortality.
       Ndum[ij]++;            */
       if (ij > cptcode) cptcode=ij;            lli=log(out[s1][s2] - savm[s1][s2]);
     }  
   
     /*printf("cptcode=%d cptcovn=%d ",cptcode,cptcovn);*/          } else if  (s2==-2) {
     for (i=0; i<=cptcode; i++) {            for (j=1,survp=0. ; j<=nlstate; j++) 
       if(Ndum[i]!=0) ncodemax[j]++;              survp += out[s1][j];
     }            lli= survp;
     ij=1;          }
           
     for (i=1; i<=ncodemax[j]; i++) {          else if  (s2==-4) {
       for (k=0; k<=19; k++) {            for (j=3,survp=0. ; j<=nlstate; j++) 
         if (Ndum[k] != 0) {              survp += out[s1][j];
           nbcode[Tvar[j]][ij]=k;            lli= survp;
           /*   printf("ij=%d ",nbcode[Tvar[2]][1]);*/          }
           ij++;          
         }          else if  (s2==-5) {
         if (ij > ncodemax[j]) break;            for (j=1,survp=0. ; j<=2; j++) 
       }                survp += out[s1][j];
     }            lli= survp;
   }            }
  for (i=1; i<=10; i++) {  
       ij=Tvar[i];  
       Ndum[ij]++;          else{
     }            lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
  ij=1;            /*  lli= (savm[s1][s2]>(double)1.e-8 ?log((1.+bbh)*out[s1][s2]- bbh*(savm[s1][s2])):log((1.+bbh)*out[s1][s2]));*/ /* linear interpolation */
  for (i=1; i<=cptcovn; i++) {          } 
    if((Ndum[i]!=0) && (i<=ncov)){          /*lli=(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]);*/
      Tvaraff[i]=ij;          /*if(lli ==000.0)*/
    ij++;          /*printf("bbh= %f lli=%f savm=%f out=%f %d\n",bbh,lli,savm[s1][s2], out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]],i); */
    }          ipmx +=1;
  }          sw += weight[i];
            ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
  for (j=1; j<=(cptcovn+2*cptcovprod); j++) {        } /* end of wave */
    if ((Tvar[j]>= cptcoveff) && (Tvar[j] <=ncov)) cptcoveff=Tvar[j];      } /* end of individual */
    /*printf("j=%d %d\n",j,Tvar[j]);*/    }  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];
  /* printf("cptcoveff=%d Tvaraff=%d %d\n",cptcoveff, Tvaraff[1],Tvaraff[2]);        for(mi=1; mi<= wav[i]-1; mi++){
     scanf("%d",i);*/          for (ii=1;ii<=nlstate+ndeath;ii++)
 }            for (j=1;j<=nlstate+ndeath;j++){
               oldm[ii][j]=(ii==j ? 1.0 : 0.0);
 /*********** Health Expectancies ****************/              savm[ii][j]=(ii==j ? 1.0 : 0.0);
             }
 void evsij(char fileres[], double ***eij, double x[], int nlstate, int stepm, int bage, int fage, double **oldm, double **savm, int ij)          for(d=0; d<=dh[mi][i]; d++){
 {            newm=savm;
   /* Health expectancies */            cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;
   int i, j, nhstepm, hstepm, h;            for (kk=1; kk<=cptcovage;kk++) {
   double age, agelim,hf;              cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
   double ***p3mat;            }
              out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
   fprintf(ficreseij,"# Health expectancies\n");                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
   fprintf(ficreseij,"# Age");            savm=oldm;
   for(i=1; i<=nlstate;i++)            oldm=newm;
     for(j=1; j<=nlstate;j++)          } /* end mult */
       fprintf(ficreseij," %1d-%1d",i,j);        
   fprintf(ficreseij,"\n");          s1=s[mw[mi][i]][i];
           s2=s[mw[mi+1][i]][i];
   hstepm=1*YEARM; /*  Every j years of age (in month) */          bbh=(double)bh[mi][i]/(double)stepm; 
   hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */          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;
   agelim=AGESUP;          sw += weight[i];
   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */          ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
     /* nhstepm age range expressed in number of stepm */        } /* end of wave */
     nhstepm=(int) rint((agelim-age)*YEARM/stepm);      } /* end of individual */
     /* Typically if 20 years = 20*12/6=40 stepm */    }  else if(mle==3){  /* exponential inter-extrapolation */
     if (stepm >= YEARM) hstepm=1;      for (i=1,ipmx=0, sw=0.; i<=imx; i++){
     nhstepm = nhstepm/hstepm;/* Expressed in hstepm, typically 40/4=10 */        for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];
     p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);        for(mi=1; mi<= wav[i]-1; mi++){
     /* Computed by stepm unit matrices, product of hstepm matrices, stored          for (ii=1;ii<=nlstate+ndeath;ii++)
        in an array of nhstepm length: nhstepm=10, hstepm=4, stepm=6 months */            for (j=1;j<=nlstate+ndeath;j++){
     hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm, savm, ij);                oldm[ii][j]=(ii==j ? 1.0 : 0.0);
               savm[ii][j]=(ii==j ? 1.0 : 0.0);
             }
     for(i=1; i<=nlstate;i++)          for(d=0; d<dh[mi][i]; d++){
       for(j=1; j<=nlstate;j++)            newm=savm;
         for (h=0, eij[i][j][(int)age]=0; h<=nhstepm; h++){            cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;
           eij[i][j][(int)age] +=p3mat[i][j][h];            for (kk=1; kk<=cptcovage;kk++) {
         }              cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
                }
     hf=1;            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
     if (stepm >= YEARM) hf=stepm/YEARM;                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
     fprintf(ficreseij,"%.0f",age );            savm=oldm;
     for(i=1; i<=nlstate;i++)            oldm=newm;
       for(j=1; j<=nlstate;j++){          } /* end mult */
         fprintf(ficreseij," %.4f", hf*eij[i][j][(int)age]);        
       }          s1=s[mw[mi][i]][i];
     fprintf(ficreseij,"\n");          s2=s[mw[mi+1][i]][i];
     free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);          bbh=(double)bh[mi][i]/(double)stepm; 
   }          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;
           sw += weight[i];
 /************ Variance ******************/          ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
 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)        } /* end of wave */
 {      } /* end of individual */
   /* Variance of health expectancies */    }else if (mle==4){  /* ml=4 no inter-extrapolation */
   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);*/      for (i=1,ipmx=0, sw=0.; i<=imx; i++){
   double **newm;        for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];
   double **dnewm,**doldm;        for(mi=1; mi<= wav[i]-1; mi++){
   int i, j, nhstepm, hstepm, h;          for (ii=1;ii<=nlstate+ndeath;ii++)
   int k, cptcode;            for (j=1;j<=nlstate+ndeath;j++){
    double *xp;              oldm[ii][j]=(ii==j ? 1.0 : 0.0);
   double **gp, **gm;              savm[ii][j]=(ii==j ? 1.0 : 0.0);
   double ***gradg, ***trgradg;            }
   double ***p3mat;          for(d=0; d<dh[mi][i]; d++){
   double age,agelim;            newm=savm;
   int theta;            cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;
             for (kk=1; kk<=cptcovage;kk++) {
    fprintf(ficresvij,"# Covariances of life expectancies\n");              cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
   fprintf(ficresvij,"# Age");            }
   for(i=1; i<=nlstate;i++)          
     for(j=1; j<=nlstate;j++)            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
       fprintf(ficresvij," Cov(e%1d, e%1d)",i,j);                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
   fprintf(ficresvij,"\n");            savm=oldm;
             oldm=newm;
   xp=vector(1,npar);          } /* end mult */
   dnewm=matrix(1,nlstate,1,npar);        
   doldm=matrix(1,nlstate,1,nlstate);          s1=s[mw[mi][i]][i];
            s2=s[mw[mi+1][i]][i];
   hstepm=1*YEARM; /* Every year of age */          if( s2 > nlstate){ 
   hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */            lli=log(out[s1][s2] - savm[s1][s2]);
   agelim = AGESUP;          }else{
   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */            lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
     nhstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */          }
     if (stepm >= YEARM) hstepm=1;          ipmx +=1;
     nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */          sw += weight[i];
     p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);          ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
     gradg=ma3x(0,nhstepm,1,npar,1,nlstate);  /*      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]); */
     gp=matrix(0,nhstepm,1,nlstate);        } /* end of wave */
     gm=matrix(0,nhstepm,1,nlstate);      } /* end of individual */
     }else{  /* ml=5 no inter-extrapolation no jackson =0.8a */
     for(theta=1; theta <=npar; theta++){      for (i=1,ipmx=0, sw=0.; i<=imx; i++){
       for(i=1; i<=npar; i++){ /* Computes gradient */        for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];
         xp[i] = x[i] + (i==theta ?delti[theta]:0);        for(mi=1; mi<= wav[i]-1; mi++){
       }          for (ii=1;ii<=nlstate+ndeath;ii++)
       hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);              for (j=1;j<=nlstate+ndeath;j++){
       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);              oldm[ii][j]=(ii==j ? 1.0 : 0.0);
       for(j=1; j<= nlstate; j++){              savm[ii][j]=(ii==j ? 1.0 : 0.0);
         for(h=0; h<=nhstepm; h++){            }
           for(i=1, gp[h][j]=0.;i<=nlstate;i++)          for(d=0; d<dh[mi][i]; d++){
             gp[h][j] += prlim[i][i]*p3mat[i][j][h];            newm=savm;
         }            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];
       for(i=1; i<=npar; i++) /* Computes gradient */            }
         xp[i] = x[i] - (i==theta ?delti[theta]:0);          
       hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);              out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
       for(j=1; j<= nlstate; j++){            savm=oldm;
         for(h=0; h<=nhstepm; h++){            oldm=newm;
           for(i=1, gm[h][j]=0.;i<=nlstate;i++)          } /* end mult */
             gm[h][j] += prlim[i][i]*p3mat[i][j][h];        
         }          s1=s[mw[mi][i]][i];
       }          s2=s[mw[mi+1][i]][i];
       for(j=1; j<= nlstate; j++)          lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
         for(h=0; h<=nhstepm; h++){          ipmx +=1;
           gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta];          sw += weight[i];
         }          ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
     } /* End theta */          /*printf("i=%6d s1=%1d s2=%1d mi=%1d mw=%1d dh=%3d prob=%10.6f w=%6.4f out=%10.6f sav=%10.6f\n",i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],out[s1][s2],savm[s1][s2]);*/
         } /* end of wave */
     trgradg =ma3x(0,nhstepm,1,nlstate,1,npar);      } /* end of individual */
     } /* End of if */
     for(h=0; h<=nhstepm; h++)    for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
       for(j=1; j<=nlstate;j++)    /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
         for(theta=1; theta <=npar; theta++)    l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
           trgradg[h][j][theta]=gradg[h][theta][j];    return -l;
   }
     for(i=1;i<=nlstate;i++)  
       for(j=1;j<=nlstate;j++)  /*************** log-likelihood *************/
         vareij[i][j][(int)age] =0.;  double funcone( double *x)
     for(h=0;h<=nhstepm;h++){  {
       for(k=0;k<=nhstepm;k++){    /* Same as likeli but slower because of a lot of printf and if */
         matprod2(dnewm,trgradg[h],1,nlstate,1,npar,1,npar,matcov);    int i, ii, j, k, mi, d, kk;
         matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg[k]);    double l, ll[NLSTATEMAX], cov[NCOVMAX];
         for(i=1;i<=nlstate;i++)    double **out;
           for(j=1;j<=nlstate;j++)    double lli; /* Individual log likelihood */
             vareij[i][j][(int)age] += doldm[i][j];    double llt;
       }    int s1, s2;
     }    double bbh, survp;
     h=1;    /*extern weight */
     if (stepm >= YEARM) h=stepm/YEARM;    /* We are differentiating ll according to initial status */
     fprintf(ficresvij,"%.0f ",age );    /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
     for(i=1; i<=nlstate;i++)    /*for(i=1;i<imx;i++) 
       for(j=1; j<=nlstate;j++){      printf(" %d\n",s[4][i]);
         fprintf(ficresvij," %.4f", h*vareij[i][j][(int)age]);    */
       }    cov[1]=1.;
     fprintf(ficresvij,"\n");  
     free_matrix(gp,0,nhstepm,1,nlstate);    for(k=1; k<=nlstate; k++) ll[k]=0.;
     free_matrix(gm,0,nhstepm,1,nlstate);  
     free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate);    for (i=1,ipmx=0, sw=0.; i<=imx; i++){
     free_ma3x(trgradg,0,nhstepm,1,nlstate,1,npar);      for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];
     free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);      for(mi=1; mi<= wav[i]-1; mi++){
   } /* End age */        for (ii=1;ii<=nlstate+ndeath;ii++)
            for (j=1;j<=nlstate+ndeath;j++){
   free_vector(xp,1,npar);            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
   free_matrix(doldm,1,nlstate,1,npar);            savm[ii][j]=(ii==j ? 1.0 : 0.0);
   free_matrix(dnewm,1,nlstate,1,nlstate);          }
         for(d=0; d<dh[mi][i]; d++){
 }          newm=savm;
           cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;
 /************ Variance of prevlim ******************/          for (kk=1; kk<=cptcovage;kk++) {
 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)            cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
 {          }
   /* Variance of prevalence limit */          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);*/                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
   double **newm;          savm=oldm;
   double **dnewm,**doldm;          oldm=newm;
   int i, j, nhstepm, hstepm;        } /* end mult */
   int k, cptcode;        
   double *xp;        s1=s[mw[mi][i]][i];
   double *gp, *gm;        s2=s[mw[mi+1][i]][i];
   double **gradg, **trgradg;        bbh=(double)bh[mi][i]/(double)stepm; 
   double age,agelim;        /* bias is positive if real duration
   int theta;         * is higher than the multiple of stepm and negative otherwise.
             */
   fprintf(ficresvpl,"# Standard deviation of prevalences limit\n");        if( s2 > nlstate && (mle <5) ){  /* Jackson */
   fprintf(ficresvpl,"# Age");          lli=log(out[s1][s2] - savm[s1][s2]);
   for(i=1; i<=nlstate;i++)        } else if (mle==1){
       fprintf(ficresvpl," %1d-%1d",i,i);          lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
   fprintf(ficresvpl,"\n");        } 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 */
   xp=vector(1,npar);        } else if(mle==3){  /* exponential inter-extrapolation */
   dnewm=matrix(1,nlstate,1,npar);          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 */
   doldm=matrix(1,nlstate,1,nlstate);        } else if (mle==4){  /* mle=4 no inter-extrapolation */
            lli=log(out[s1][s2]); /* Original formula */
   hstepm=1*YEARM; /* Every year of age */        } else{  /* ml>=5 no inter-extrapolation no jackson =0.8a */
   hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */          lli=log(out[s1][s2]); /* Original formula */
   agelim = AGESUP;        } /* End of if */
   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */        ipmx +=1;
     nhstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */        sw += weight[i];
     if (stepm >= YEARM) hstepm=1;        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
     nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */  /*       printf("i=%6d s1=%1d s2=%1d mi=%1d mw=%1d dh=%3d prob=%10.6f w=%6.4f out=%10.6f sav=%10.6f\n",i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],out[s1][s2],savm[s1][s2]); */
     gradg=matrix(1,npar,1,nlstate);        if(globpr){
     gp=vector(1,nlstate);          fprintf(ficresilk,"%9d %6d %1d %1d %1d %1d %3d %10.6f %6.4f\
     gm=vector(1,nlstate);   %10.6f %10.6f %10.6f ", \
                   num[i],i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],
     for(theta=1; theta <=npar; theta++){                  2*weight[i]*lli,out[s1][s2],savm[s1][s2]);
       for(i=1; i<=npar; i++){ /* Computes gradient */          for(k=1,llt=0.,l=0.; k<=nlstate; k++){
         xp[i] = x[i] + (i==theta ?delti[theta]:0);            llt +=ll[k]*gipmx/gsw;
       }            fprintf(ficresilk," %10.6f",-ll[k]*gipmx/gsw);
       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);          }
       for(i=1;i<=nlstate;i++)          fprintf(ficresilk," %10.6f\n", -llt);
         gp[i] = prlim[i][i];        }
          } /* end of wave */
       for(i=1; i<=npar; i++) /* Computes gradient */    } /* end of individual */
         xp[i] = x[i] - (i==theta ?delti[theta]:0);    for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);    /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
       for(i=1;i<=nlstate;i++)    l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
         gm[i] = prlim[i][i];    if(globpr==0){ /* First time we count the contributions and weights */
       gipmx=ipmx;
       for(i=1;i<=nlstate;i++)      gsw=sw;
         gradg[theta][i]= (gp[i]-gm[i])/2./delti[theta];    }
     } /* End theta */    return -l;
   }
     trgradg =matrix(1,nlstate,1,npar);  
   
     for(j=1; j<=nlstate;j++)  /*************** function likelione ***********/
       for(theta=1; theta <=npar; theta++)  void likelione(FILE *ficres,double p[], int npar, int nlstate, int *globpri, long *ipmx, double *sw, double *fretone, double (*funcone)(double []))
         trgradg[j][theta]=gradg[theta][j];  {
     /* This routine should help understanding what is done with 
     for(i=1;i<=nlstate;i++)       the selection of individuals/waves and
       varpl[i][(int)age] =0.;       to check the exact contribution to the likelihood.
     matprod2(dnewm,trgradg,1,nlstate,1,npar,1,npar,matcov);       Plotting could be done.
     matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg);     */
     for(i=1;i<=nlstate;i++)    int k;
       varpl[i][(int)age] = doldm[i][i]; /* Covariances are useless */  
     if(*globpri !=0){ /* Just counts and sums, no printings */
     fprintf(ficresvpl,"%.0f ",age );      strcpy(fileresilk,"ilk"); 
     for(i=1; i<=nlstate;i++)      strcat(fileresilk,fileres);
       fprintf(ficresvpl," %.5f (%.5f)",prlim[i][i],sqrt(varpl[i][(int)age]));      if((ficresilk=fopen(fileresilk,"w"))==NULL) {
     fprintf(ficresvpl,"\n");        printf("Problem with resultfile: %s\n", fileresilk);
     free_vector(gp,1,nlstate);        fprintf(ficlog,"Problem with resultfile: %s\n", fileresilk);
     free_vector(gm,1,nlstate);      }
     free_matrix(gradg,1,npar,1,nlstate);      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");
     free_matrix(trgradg,1,nlstate,1,npar);      fprintf(ficresilk, "#num_i i s1 s2 mi mw dh likeli weight 2wlli out sav ");
   } /* End age */      /*  i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],2*weight[i]*lli,out[s1][s2],savm[s1][s2]); */
       for(k=1; k<=nlstate; k++) 
   free_vector(xp,1,npar);        fprintf(ficresilk," -2*gipw/gsw*weight*ll[%d]++",k);
   free_matrix(doldm,1,nlstate,1,npar);      fprintf(ficresilk," -2*gipw/gsw*weight*ll(total)\n");
   free_matrix(dnewm,1,nlstate,1,nlstate);    }
   
 }    *fretone=(*funcone)(p);
     if(*globpri !=0){
       fclose(ficresilk);
       fprintf(fichtm,"\n<br>File of contributions to the likelihood: <a href=\"%s\">%s</a><br>\n",subdirf(fileresilk),subdirf(fileresilk));
 /***********************************************/      fflush(fichtm); 
 /**************** Main Program *****************/    } 
 /***********************************************/    return;
   }
 /*int main(int argc, char *argv[])*/  
 int main()  
 {  /*********** Maximum Likelihood Estimation ***************/
   
   int i,j, k, n=MAXN,iter,m,size,cptcode, aaa, cptcod;  void mlikeli(FILE *ficres,double p[], int npar, int ncovmodel, int nlstate, double ftol, double (*func)(double []))
   double agedeb, agefin,hf;  {
   double agemin=1.e20, agemax=-1.e20;    int i,j, iter;
     double **xi;
   double fret;    double fret;
   double **xi,tmp,delta;    double fretone; /* Only one call to likelihood */
     /*  char filerespow[FILENAMELENGTH];*/
   double dum; /* Dummy variable */    xi=matrix(1,npar,1,npar);
   double ***p3mat;    for (i=1;i<=npar;i++)
   int *indx;      for (j=1;j<=npar;j++)
   char line[MAXLINE], linepar[MAXLINE];        xi[i][j]=(i==j ? 1.0 : 0.0);
   char title[MAXLINE];    printf("Powell\n");  fprintf(ficlog,"Powell\n");
   char optionfile[FILENAMELENGTH], datafile[FILENAMELENGTH],  filerespl[FILENAMELENGTH];    strcpy(filerespow,"pow"); 
   char fileres[FILENAMELENGTH], filerespij[FILENAMELENGTH], filereso[FILENAMELENGTH];    strcat(filerespow,fileres);
   char filerest[FILENAMELENGTH];    if((ficrespow=fopen(filerespow,"w"))==NULL) {
   char fileregp[FILENAMELENGTH];      printf("Problem with resultfile: %s\n", filerespow);
   char path[80],pathc[80],pathcd[80],pathtot[80],model[20];      fprintf(ficlog,"Problem with resultfile: %s\n", filerespow);
   int firstobs=1, lastobs=10;    }
   int sdeb, sfin; /* Status at beginning and end */    fprintf(ficrespow,"# Powell\n# iter -2*LL");
   int c,  h , cpt,l;    for (i=1;i<=nlstate;i++)
   int ju,jl, mi;      for(j=1;j<=nlstate+ndeath;j++)
   int i1,j1, k1,k2,k3,jk,aa,bb, stepsize, ij;        if(j!=i)fprintf(ficrespow," p%1d%1d",i,j);
   int jnais,jdc,jint4,jint1,jint2,jint3,**outcome,**adl,*tab;    fprintf(ficrespow,"\n");
    
   int hstepm, nhstepm;    powell(p,xi,npar,ftol,&iter,&fret,func);
   double bage, fage, age, agelim, agebase;  
   double ftolpl=FTOL;    fclose(ficrespow);
   double **prlim;    printf("\n#Number of iterations = %d, -2 Log likelihood = %.12f\n",iter,func(p));
   double *severity;    fprintf(ficlog,"\n#Number of iterations = %d, -2 Log likelihood = %.12f \n",iter,func(p));
   double ***param; /* Matrix of parameters */    fprintf(ficres,"#Number of iterations = %d, -2 Log likelihood = %.12f \n",iter,func(p));
   double  *p;  
   double **matcov; /* Matrix of covariance */  }
   double ***delti3; /* Scale */  
   double *delti; /* Scale */  /**** Computes Hessian and covariance matrix ***/
   double ***eij, ***vareij;  void hesscov(double **matcov, double p[], int npar, double delti[], double ftolhess, double (*func)(double []))
   double **varpl; /* Variances of prevalence limits by age */  {
   double *epj, vepp;    double  **a,**y,*x,pd;
   char version[80]="Imach version 62c, May 1999, INED-EUROREVES ";    double **hess;
   char *alph[]={"a","a","b","c","d","e"}, str[4];    int i, j,jk;
     int *indx;
   char z[1]="c", occ;  
 #include <sys/time.h>    double hessii(double p[], double delta, int theta, double delti[],double (*func)(double []),int npar);
 #include <time.h>    double hessij(double p[], double delti[], int i, int j,double (*func)(double []),int npar);
   char stra[80], strb[80], strc[80], strd[80],stre[80],modelsav[80];    void lubksb(double **a, int npar, int *indx, double b[]) ;
   /* long total_usecs;    void ludcmp(double **a, int npar, int *indx, double *d) ;
   struct timeval start_time, end_time;    double gompertz(double p[]);
      hess=matrix(1,npar,1,npar);
   gettimeofday(&start_time, (struct timezone*)0); */ /* at first time */  
     printf("\nCalculation of the hessian matrix. Wait...\n");
     fprintf(ficlog,"\nCalculation of the hessian matrix. Wait...\n");
   printf("\nIMACH, Version 0.64a");    for (i=1;i<=npar;i++){
   printf("\nEnter the parameter file name: ");      printf("%d",i);fflush(stdout);
       fprintf(ficlog,"%d",i);fflush(ficlog);
 #ifdef windows     
   scanf("%s",pathtot);       hess[i][i]=hessii(p,ftolhess,i,delti,func,npar);
   getcwd(pathcd, size);      
   /*cygwin_split_path(pathtot,path,optionfile);      /*  printf(" %f ",p[i]);
     printf("pathtot=%s, path=%s, optionfile=%s\n",pathtot,path,optionfile);*/          printf(" %lf %lf %lf",hess[i][i],ftolhess,delti[i]);*/
   /* cutv(path,optionfile,pathtot,'\\');*/    }
     
 split(pathtot, path,optionfile);    for (i=1;i<=npar;i++) {
   chdir(path);      for (j=1;j<=npar;j++)  {
   replace(pathc,path);        if (j>i) { 
 #endif          printf(".%d%d",i,j);fflush(stdout);
 #ifdef unix          fprintf(ficlog,".%d%d",i,j);fflush(ficlog);
   scanf("%s",optionfile);          hess[i][j]=hessij(p,delti,i,j,func,npar);
 #endif          
           hess[j][i]=hess[i][j];    
 /*-------- arguments in the command line --------*/          /*printf(" %lf ",hess[i][j]);*/
         }
   strcpy(fileres,"r");      }
   strcat(fileres, optionfile);    }
     printf("\n");
   /*---------arguments file --------*/    fprintf(ficlog,"\n");
   
   if((ficpar=fopen(optionfile,"r"))==NULL)    {    printf("\nInverting the hessian to get the covariance matrix. Wait...\n");
     printf("Problem with optionfile %s\n",optionfile);    fprintf(ficlog,"\nInverting the hessian to get the covariance matrix. Wait...\n");
     goto end;    
   }    a=matrix(1,npar,1,npar);
     y=matrix(1,npar,1,npar);
   strcpy(filereso,"o");    x=vector(1,npar);
   strcat(filereso,fileres);    indx=ivector(1,npar);
   if((ficparo=fopen(filereso,"w"))==NULL) {    for (i=1;i<=npar;i++)
     printf("Problem with Output resultfile: %s\n", filereso);goto end;      for (j=1;j<=npar;j++) a[i][j]=hess[i][j];
   }    ludcmp(a,npar,indx,&pd);
   
   /* Reads comments: lines beginning with '#' */    for (j=1;j<=npar;j++) {
   while((c=getc(ficpar))=='#' && c!= EOF){      for (i=1;i<=npar;i++) x[i]=0;
     ungetc(c,ficpar);      x[j]=1;
     fgets(line, MAXLINE, ficpar);      lubksb(a,npar,indx,x);
     puts(line);      for (i=1;i<=npar;i++){ 
     fputs(line,ficparo);        matcov[i][j]=x[i];
   }      }
   ungetc(c,ficpar);    }
   
   fscanf(ficpar,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%lf stepm=%d ncov=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\nmodel=%s\n",title, datafile, &lastobs, &firstpass,&lastpass,&ftol, &stepm, &ncov, &nlstate,&ndeath, &maxwav, &mle, &weightopt,model);    printf("\n#Hessian matrix#\n");
   printf("title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncov=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\nmodel=%s\n", title, datafile, lastobs, firstpass,lastpass,ftol, stepm, ncov, nlstate,ndeath, maxwav, mle, weightopt,model);    fprintf(ficlog,"\n#Hessian matrix#\n");
   fprintf(ficparo,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncov=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\nmodel=%s\n", title, datafile, lastobs, firstpass,lastpass,ftol,stepm,ncov,nlstate,ndeath,maxwav, mle, weightopt,model);    for (i=1;i<=npar;i++) { 
       for (j=1;j<=npar;j++) { 
   covar=matrix(0,NCOVMAX,1,n);            printf("%.3e ",hess[i][j]);
   if (strlen(model)<=1) cptcovn=0;        fprintf(ficlog,"%.3e ",hess[i][j]);
   else {      }
     j=0;      printf("\n");
     j=nbocc(model,'+');      fprintf(ficlog,"\n");
     cptcovn=j+1;    }
   }  
     /* Recompute Inverse */
   ncovmodel=2+cptcovn;    for (i=1;i<=npar;i++)
   nvar=ncovmodel-1; /* Suppressing age as a basic covariate */      for (j=1;j<=npar;j++) a[i][j]=matcov[i][j];
      ludcmp(a,npar,indx,&pd);
   /* Read guess parameters */  
   /* Reads comments: lines beginning with '#' */    /*  printf("\n#Hessian matrix recomputed#\n");
   while((c=getc(ficpar))=='#' && c!= EOF){  
     ungetc(c,ficpar);    for (j=1;j<=npar;j++) {
     fgets(line, MAXLINE, ficpar);      for (i=1;i<=npar;i++) x[i]=0;
     puts(line);      x[j]=1;
     fputs(line,ficparo);      lubksb(a,npar,indx,x);
   }      for (i=1;i<=npar;i++){ 
   ungetc(c,ficpar);        y[i][j]=x[i];
          printf("%.3e ",y[i][j]);
   param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);        fprintf(ficlog,"%.3e ",y[i][j]);
     for(i=1; i <=nlstate; i++)      }
     for(j=1; j <=nlstate+ndeath-1; j++){      printf("\n");
       fscanf(ficpar,"%1d%1d",&i1,&j1);      fprintf(ficlog,"\n");
       fprintf(ficparo,"%1d%1d",i1,j1);    }
       printf("%1d%1d",i,j);    */
       for(k=1; k<=ncovmodel;k++){  
         fscanf(ficpar," %lf",&param[i][j][k]);    free_matrix(a,1,npar,1,npar);
         printf(" %lf",param[i][j][k]);    free_matrix(y,1,npar,1,npar);
         fprintf(ficparo," %lf",param[i][j][k]);    free_vector(x,1,npar);
       }    free_ivector(indx,1,npar);
       fscanf(ficpar,"\n");    free_matrix(hess,1,npar,1,npar);
       printf("\n");  
       fprintf(ficparo,"\n");  
     }  }
    
   npar= (nlstate+ndeath-1)*nlstate*ncovmodel;  /*************** hessian matrix ****************/
   p=param[1][1];  double hessii(double x[], double delta, int theta, double delti[], double (*func)(double []), int npar)
    {
   /* Reads comments: lines beginning with '#' */    int i;
   while((c=getc(ficpar))=='#' && c!= EOF){    int l=1, lmax=20;
     ungetc(c,ficpar);    double k1,k2;
     fgets(line, MAXLINE, ficpar);    double p2[NPARMAX+1];
     puts(line);    double res;
     fputs(line,ficparo);    double delt=0.0001, delts, nkhi=10.,nkhif=1., khi=1.e-4;
   }    double fx;
   ungetc(c,ficpar);    int k=0,kmax=10;
     double l1;
   delti3= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);  
   delti=vector(1,npar); /* Scale of each paramater (output from hesscov) */    fx=func(x);
   for(i=1; i <=nlstate; i++){    for (i=1;i<=npar;i++) p2[i]=x[i];
     for(j=1; j <=nlstate+ndeath-1; j++){    for(l=0 ; l <=lmax; l++){
       fscanf(ficpar,"%1d%1d",&i1,&j1);      l1=pow(10,l);
       printf("%1d%1d",i,j);      delts=delt;
       fprintf(ficparo,"%1d%1d",i1,j1);      for(k=1 ; k <kmax; k=k+1){
       for(k=1; k<=ncovmodel;k++){        delt = delta*(l1*k);
         fscanf(ficpar,"%le",&delti3[i][j][k]);        p2[theta]=x[theta] +delt;
         printf(" %le",delti3[i][j][k]);        k1=func(p2)-fx;
         fprintf(ficparo," %le",delti3[i][j][k]);        p2[theta]=x[theta]-delt;
       }        k2=func(p2)-fx;
       fscanf(ficpar,"\n");        /*res= (k1-2.0*fx+k2)/delt/delt; */
       printf("\n");        res= (k1+k2)/delt/delt/2.; /* Divided by because L and not 2*L */
       fprintf(ficparo,"\n");        
     }  #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);
   delti=delti3[1][1];        fprintf(ficlog,"%d %d k1=%.12e k2=%.12e xk1=%.12e xk2=%.12e delt=%.12e res=%.12e l=%d k=%d,fx=%.12e\n",theta,theta,k1,k2,x[theta]+delt,x[theta]-delt,delt,res, l, k,fx);
    #endif
   /* Reads comments: lines beginning with '#' */        /*if(fabs(k1-2.0*fx+k2) <1.e-13){ */
   while((c=getc(ficpar))=='#' && c!= EOF){        if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)){
     ungetc(c,ficpar);          k=kmax;
     fgets(line, MAXLINE, ficpar);        }
     puts(line);        else if((k1 >khi/nkhif) || (k2 >khi/nkhif)){ /* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. */
     fputs(line,ficparo);          k=kmax; l=lmax*10.;
   }        }
   ungetc(c,ficpar);        else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){ 
            delts=delt;
   matcov=matrix(1,npar,1,npar);        }
   for(i=1; i <=npar; i++){      }
     fscanf(ficpar,"%s",&str);    }
     printf("%s",str);    delti[theta]=delts;
     fprintf(ficparo,"%s",str);    return res; 
     for(j=1; j <=i; j++){    
       fscanf(ficpar," %le",&matcov[i][j]);  }
       printf(" %.5le",matcov[i][j]);  
       fprintf(ficparo," %.5le",matcov[i][j]);  double hessij( double x[], double delti[], int thetai,int thetaj,double (*func)(double []),int npar)
     }  {
     fscanf(ficpar,"\n");    int i;
     printf("\n");    int l=1, l1, lmax=20;
     fprintf(ficparo,"\n");    double k1,k2,k3,k4,res,fx;
   }    double p2[NPARMAX+1];
   for(i=1; i <=npar; i++)    int k;
     for(j=i+1;j<=npar;j++)  
       matcov[i][j]=matcov[j][i];    fx=func(x);
        for (k=1; k<=2; k++) {
   printf("\n");      for (i=1;i<=npar;i++) p2[i]=x[i];
       p2[thetai]=x[thetai]+delti[thetai]/k;
       p2[thetaj]=x[thetaj]+delti[thetaj]/k;
     /*-------- data file ----------*/      k1=func(p2)-fx;
     if((ficres =fopen(fileres,"w"))==NULL) {    
       printf("Problem with resultfile: %s\n", fileres);goto end;      p2[thetai]=x[thetai]+delti[thetai]/k;
     }      p2[thetaj]=x[thetaj]-delti[thetaj]/k;
     fprintf(ficres,"#%s\n",version);      k2=func(p2)-fx;
        
     if((fic=fopen(datafile,"r"))==NULL)    {      p2[thetai]=x[thetai]-delti[thetai]/k;
       printf("Problem with datafile: %s\n", datafile);goto end;      p2[thetaj]=x[thetaj]+delti[thetaj]/k;
     }      k3=func(p2)-fx;
     
     n= lastobs;      p2[thetai]=x[thetai]-delti[thetai]/k;
     severity = vector(1,maxwav);      p2[thetaj]=x[thetaj]-delti[thetaj]/k;
     outcome=imatrix(1,maxwav+1,1,n);      k4=func(p2)-fx;
     num=ivector(1,n);      res=(k1-k2-k3+k4)/4.0/delti[thetai]*k/delti[thetaj]*k/2.; /* Because of L not 2*L */
     moisnais=vector(1,n);  #ifdef DEBUG
     annais=vector(1,n);      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);
     moisdc=vector(1,n);      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);
     andc=vector(1,n);  #endif
     agedc=vector(1,n);    }
     cod=ivector(1,n);    return res;
     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);  /************** Inverse of matrix **************/
     anint=matrix(1,maxwav,1,n);  void ludcmp(double **a, int n, int *indx, double *d) 
     s=imatrix(1,maxwav+1,1,n);  { 
     adl=imatrix(1,maxwav+1,1,n);        int i,imax,j,k; 
     tab=ivector(1,NCOVMAX);    double big,dum,sum,temp; 
     ncodemax=ivector(1,8);    double *vv; 
    
     i=1;    vv=vector(1,n); 
     while (fgets(line, MAXLINE, fic) != NULL)    {    *d=1.0; 
       if ((i >= firstobs) && (i <=lastobs)) {    for (i=1;i<=n;i++) { 
              big=0.0; 
         for (j=maxwav;j>=1;j--){      for (j=1;j<=n;j++) 
           cutv(stra, strb,line,' '); s[j][i]=atoi(strb);        if ((temp=fabs(a[i][j])) > big) big=temp; 
           strcpy(line,stra);      if (big == 0.0) nrerror("Singular matrix in routine ludcmp"); 
           cutv(stra, strb,line,'/'); anint[j][i]=(double)(atoi(strb)); strcpy(line,stra);      vv[i]=1.0/big; 
           cutv(stra, strb,line,' '); mint[j][i]=(double)(atoi(strb)); strcpy(line,stra);    } 
         }    for (j=1;j<=n;j++) { 
              for (i=1;i<j;i++) { 
         cutv(stra, strb,line,'/'); andc[i]=(double)(atoi(strb)); strcpy(line,stra);        sum=a[i][j]; 
         cutv(stra, strb,line,' '); moisdc[i]=(double)(atoi(strb)); strcpy(line,stra);        for (k=1;k<i;k++) sum -= a[i][k]*a[k][j]; 
         a[i][j]=sum; 
         cutv(stra, strb,line,'/'); annais[i]=(double)(atoi(strb)); strcpy(line,stra);      } 
         cutv(stra, strb,line,' '); moisnais[i]=(double)(atoi(strb)); strcpy(line,stra);      big=0.0; 
       for (i=j;i<=n;i++) { 
         cutv(stra, strb,line,' '); weight[i]=(double)(atoi(strb)); strcpy(line,stra);        sum=a[i][j]; 
         for (j=ncov;j>=1;j--){        for (k=1;k<j;k++) 
           cutv(stra, strb,line,' '); covar[j][i]=(double)(atoi(strb)); strcpy(line,stra);          sum -= a[i][k]*a[k][j]; 
         }        a[i][j]=sum; 
         num[i]=atol(stra);        if ( (dum=vv[i]*fabs(sum)) >= big) { 
           big=dum; 
         /*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]));*/          imax=i; 
         } 
         i=i+1;      } 
       }      if (j != imax) { 
     }        for (k=1;k<=n;k++) { 
           dum=a[imax][k]; 
     /*scanf("%d",i);*/          a[imax][k]=a[j][k]; 
   imx=i-1; /* Number of individuals */          a[j][k]=dum; 
         } 
   /* Calculation of the number of parameter from char model*/        *d = -(*d); 
   Tvar=ivector(1,15);        vv[imax]=vv[j]; 
   Tprod=ivector(1,15);      } 
   Tvaraff=ivector(1,15);      indx[j]=imax; 
   Tvard=imatrix(1,15,1,2);      if (a[j][j] == 0.0) a[j][j]=TINY; 
   Tage=ivector(1,15);            if (j != n) { 
            dum=1.0/(a[j][j]); 
   if (strlen(model) >1){        for (i=j+1;i<=n;i++) a[i][j] *= dum; 
     j=0, j1=0, k1=1, k2=1;      } 
     j=nbocc(model,'+');    } 
     j1=nbocc(model,'*');    free_vector(vv,1,n);  /* Doesn't work */
     cptcovn=j+1;  ;
     cptcovprod=j1;  } 
      
     strcpy(modelsav,model);  void lubksb(double **a, int n, int *indx, double b[]) 
    if (j==0) {  { 
       if (j1==0){    int i,ii=0,ip,j; 
         cutv(stra,strb,modelsav,'V');    double sum; 
         Tvar[1]=atoi(strb);   
       }    for (i=1;i<=n;i++) { 
       else if (j1==1) {      ip=indx[i]; 
         cutv(stra,strb,modelsav,'*');      sum=b[ip]; 
         Tage[1]=1; cptcovage++;      b[ip]=b[i]; 
         if (strcmp(stra,"age")==0) {      if (ii) 
           cptcovprod--;        for (j=ii;j<=i-1;j++) sum -= a[i][j]*b[j]; 
           cutv(strd,strc,strb,'V');      else if (sum) ii=i; 
           Tvar[1]=atoi(strc);      b[i]=sum; 
         }    } 
         else if (strcmp(strb,"age")==0) {    for (i=n;i>=1;i--) { 
           cptcovprod--;      sum=b[i]; 
           cutv(strd,strc,stra,'V');      for (j=i+1;j<=n;j++) sum -= a[i][j]*b[j]; 
           Tvar[1]=atoi(strc);      b[i]=sum/a[i][i]; 
         }    } 
         else {  } 
           cutv(strd,strc,strb,'V');  
           cutv(stre,strd,stra,'V');  /************ Frequencies ********************/
           Tvar[1]=ncov+1;  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, char strstart[])
           for (k=1; k<=lastobs;k++)  {  /* Some frequencies */
               covar[ncov+1][k]=covar[atoi(strc)][k]*covar[atoi(strd)][k];    
         }    int i, m, jk, k1,i1, j1, bool, z1,z2,j;
         /*printf("%s %s %s\n", stra,strb,modelsav);    int first;
 printf("%d ",Tvar[1]);    double ***freq; /* Frequencies */
 scanf("%d",i);*/    double *pp, **prop;
       }    double pos,posprop, k2, dateintsum=0,k2cpt=0;
     }    FILE *ficresp;
    else {    char fileresp[FILENAMELENGTH];
       for(i=j; i>=1;i--){    
         cutv(stra,strb,modelsav,'+');    pp=vector(1,nlstate);
         /*printf("%s %s %s\n", stra,strb,modelsav);    prop=matrix(1,nlstate,iagemin,iagemax+3);
           scanf("%d",i);*/    strcpy(fileresp,"p");
         if (strchr(strb,'*')) {    strcat(fileresp,fileres);
           cutv(strd,strc,strb,'*');    if((ficresp=fopen(fileresp,"w"))==NULL) {
           if (strcmp(strc,"age")==0) {      printf("Problem with prevalence resultfile: %s\n", fileresp);
             cptcovprod--;      fprintf(ficlog,"Problem with prevalence resultfile: %s\n", fileresp);
             cutv(strb,stre,strd,'V');      exit(0);
             Tvar[i+1]=atoi(stre);    }
             cptcovage++;    freq= ma3x(-5,nlstate+ndeath,-5,nlstate+ndeath,iagemin,iagemax+3);
             Tage[cptcovage]=i+1;    j1=0;
             printf("stre=%s ", stre);    
           }    j=cptcoveff;
           else if (strcmp(strd,"age")==0) {    if (cptcovn<1) {j=1;ncodemax[1]=1;}
             cptcovprod--;  
             cutv(strb,stre,strc,'V');    first=1;
             Tvar[i+1]=atoi(stre);  
             cptcovage++;    for(k1=1; k1<=j;k1++){
             Tage[cptcovage]=i+1;      for(i1=1; i1<=ncodemax[k1];i1++){
           }        j1++;
           else {        /*printf("cptcoveff=%d Tvaraff=%d", cptcoveff,Tvaraff[1]);
             cutv(strb,stre,strc,'V');          scanf("%d", i);*/
             Tvar[i+1]=ncov+k1;        for (i=-5; i<=nlstate+ndeath; i++)  
             cutv(strb,strc,strd,'V');          for (jk=-5; jk<=nlstate+ndeath; jk++)  
             Tprod[k1]=i+1;            for(m=iagemin; m <= iagemax+3; m++)
             Tvard[k1][1]=atoi(strc);              freq[i][jk][m]=0;
             Tvard[k1][2]=atoi(stre);  
             Tvar[cptcovn+k2]=Tvard[k1][1];      for (i=1; i<=nlstate; i++)  
             Tvar[cptcovn+k2+1]=Tvard[k1][2];        for(m=iagemin; m <= iagemax+3; m++)
             for (k=1; k<=lastobs;k++)          prop[i][m]=0;
               covar[ncov+k1][k]=covar[atoi(stre)][k]*covar[atoi(strc)][k];        
             k1++;        dateintsum=0;
             k2=k2+2;        k2cpt=0;
           }        for (i=1; i<=imx; i++) {
         }          bool=1;
         else {          if  (cptcovn>0) {
           cutv(strd,strc,strb,'V');            for (z1=1; z1<=cptcoveff; z1++) 
           /* printf("%s %s %s", strd,strc,strb);*/              if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtab[j1][z1]]) 
           Tvar[i+1]=atoi(strc);                bool=0;
         }          }
         strcpy(modelsav,stra);            if (bool==1){
       }            for(m=firstpass; m<=lastpass; m++){
       cutv(strd,strc,stra,'V');              k2=anint[m][i]+(mint[m][i]/12.);
       Tvar[1]=atoi(strc);              /*if ((k2>=dateprev1) && (k2<=dateprev2)) {*/
     }                if(agev[m][i]==0) agev[m][i]=iagemax+1;
   }                if(agev[m][i]==1) agev[m][i]=iagemax+2;
   /* for (i=1; i<=5; i++)                if (s[m][i]>0 && s[m][i]<=nlstate) prop[s[m][i]][(int)agev[m][i]] += weight[i];
      printf("i=%d %d ",i,Tvar[i]);*/                if (m<lastpass) {
   /* printf("tvar=%d %d cptcovage=%d %d",Tvar[1],Tvar[2],cptcovage,Tage[1]);*/                  freq[s[m][i]][s[m+1][i]][(int)agev[m][i]] += weight[i];
  /*printf("cptcovprod=%d ", cptcovprod);*/                  freq[s[m][i]][s[m+1][i]][iagemax+3] += weight[i];
   /*  scanf("%d ",i);*/                }
     fclose(fic);                
                 if ((agev[m][i]>1) && (agev[m][i]< (iagemax+3))) {
     /*  if(mle==1){*/                  dateintsum=dateintsum+k2;
     if (weightopt != 1) { /* Maximisation without weights*/                  k2cpt++;
       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++)  {         
       agedc[i]=(moisdc[i]/12.+andc[i])-(moisnais[i]/12.+annais[i]);        /*      fprintf(ficresp, "#Count between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);*/
       for(m=1; (m<= maxwav); m++){  fprintf(ficresp, "#Local time at start: %s", strstart);
         if(s[m][i] >0){        if  (cptcovn>0) {
           if (s[m][i] == nlstate+1) {          fprintf(ficresp, "\n#********** Variable "); 
             if(agedc[i]>0)          for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresp, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
               if(moisdc[i]!=99 && andc[i]!=9999)          fprintf(ficresp, "**********\n#");
               agev[m][i]=agedc[i];        }
             else{        for(i=1; i<=nlstate;i++) 
               printf("Warning negative age at death: %d line:%d\n",num[i],i);          fprintf(ficresp, " Age Prev(%d) N(%d) N",i,i);
               agev[m][i]=-1;        fprintf(ficresp, "\n");
             }        
           }        for(i=iagemin; i <= iagemax+3; i++){
           else if(s[m][i] !=9){ /* Should no more exist */          if(i==iagemax+3){
             agev[m][i]=(mint[m][i]/12.+1./24.+anint[m][i])-(moisnais[i]/12.+1./24.+annais[i]);            fprintf(ficlog,"Total");
             if(mint[m][i]==99 || anint[m][i]==9999)          }else{
               agev[m][i]=1;            if(first==1){
             else if(agev[m][i] <agemin){              first=0;
               agemin=agev[m][i];              printf("See log file for details...\n");
               /*printf(" Min anint[%d][%d]=%.2f annais[%d]=%.2f, agemin=%.2f\n",m,i,anint[m][i], i,annais[i], agemin);*/            }
             }            fprintf(ficlog,"Age %d", i);
             else if(agev[m][i] >agemax){          }
               agemax=agev[m][i];          for(jk=1; jk <=nlstate ; jk++){
              /* printf(" anint[%d][%d]=%.0f annais[%d]=%.0f, agemax=%.0f\n",m,i,anint[m][i], i,annais[i], agemax);*/            for(m=-1, pp[jk]=0; m <=nlstate+ndeath ; m++)
             }              pp[jk] += freq[jk][m][i]; 
             /*agev[m][i]=anint[m][i]-annais[i];*/          }
             /*   agev[m][i] = age[i]+2*m;*/          for(jk=1; jk <=nlstate ; jk++){
           }            for(m=-1, pos=0; m <=0 ; m++)
           else { /* =9 */              pos += freq[jk][m][i];
             agev[m][i]=1;            if(pp[jk]>=1.e-10){
             s[m][i]=-1;              if(first==1){
           }              printf(" %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);
         }              }
         else /*= 0 Unknown */              fprintf(ficlog," %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);
           agev[m][i]=1;            }else{
       }              if(first==1)
                    printf(" %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);
     }              fprintf(ficlog," %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);
     for (i=1; i<=imx; i++)  {            }
       for(m=1; (m<= maxwav); m++){          }
         if (s[m][i] > (nlstate+ndeath)) {  
           printf("Error: Wrong value in nlstate or ndeath\n");            for(jk=1; jk <=nlstate ; jk++){
           goto end;            for(m=0, pp[jk]=0; m <=nlstate+ndeath; m++)
         }              pp[jk] += freq[jk][m][i];
       }          }       
     }          for(jk=1,pos=0,posprop=0; jk <=nlstate ; jk++){
             pos += pp[jk];
 printf("Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, agemin, agemax);            posprop += prop[jk][i];
           }
     free_vector(severity,1,maxwav);          for(jk=1; jk <=nlstate ; jk++){
     free_imatrix(outcome,1,maxwav+1,1,n);            if(pos>=1.e-5){
     free_vector(moisnais,1,n);              if(first==1)
     free_vector(annais,1,n);                printf(" %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);
     free_matrix(mint,1,maxwav,1,n);              fprintf(ficlog," %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);
     free_matrix(anint,1,maxwav,1,n);            }else{
     free_vector(moisdc,1,n);              if(first==1)
     free_vector(andc,1,n);                printf(" %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);
               fprintf(ficlog," %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);
                }
     wav=ivector(1,imx);            if( i <= iagemax){
     dh=imatrix(1,lastpass-firstpass+1,1,imx);              if(pos>=1.e-5){
     mw=imatrix(1,lastpass-firstpass+1,1,imx);                fprintf(ficresp," %d %.5f %.0f %.0f",i,prop[jk][i]/posprop, prop[jk][i],posprop);
                    /*probs[i][jk][j1]= pp[jk]/pos;*/
     /* Concatenates waves */                /*printf("\ni=%d jk=%d j1=%d %.5f %.0f %.0f %f",i,jk,j1,pp[jk]/pos, pp[jk],pos,probs[i][jk][j1]);*/
       concatwav(wav, dh, mw, s, agedc, agev,  firstpass, lastpass, imx, nlstate, stepm);              }
               else
                 fprintf(ficresp," %d NaNq %.0f %.0f",i,prop[jk][i],posprop);
       Tcode=ivector(1,100);            }
       nbcode=imatrix(1,nvar,1,8);          }
       ncodemax[1]=1;          
       if (cptcovn > 0) tricode(Tvar,nbcode,imx);          for(jk=-1; jk <=nlstate+ndeath; jk++)
                  for(m=-1; m <=nlstate+ndeath; m++)
    codtab=imatrix(1,100,1,10);              if(freq[jk][m][i] !=0 ) {
    h=0;              if(first==1)
    m=pow(2,cptcoveff);                printf(" %d%d=%.0f",jk,m,freq[jk][m][i]);
                  fprintf(ficlog," %d%d=%.0f",jk,m,freq[jk][m][i]);
    for(k=1;k<=cptcoveff; k++){              }
      for(i=1; i <=(m/pow(2,k));i++){          if(i <= iagemax)
        for(j=1; j <= ncodemax[k]; j++){            fprintf(ficresp,"\n");
          for(cpt=1; cpt <=(m/pow(2,cptcoveff+1-k)); cpt++){          if(first==1)
            h++;            printf("Others in log...\n");
            if (h>m) h=1;codtab[h][k]=j;          fprintf(ficlog,"\n");
          }        }
        }      }
      }    }
    }    dateintmean=dateintsum/k2cpt; 
    
     fclose(ficresp);
    /*for(i=1; i <=m ;i++){    free_ma3x(freq,-5,nlstate+ndeath,-5,nlstate+ndeath, iagemin, iagemax+3);
      for(k=1; k <=cptcovn; k++){    free_vector(pp,1,nlstate);
        printf("i=%d k=%d %d %d",i,k,codtab[i][k], cptcoveff);    free_matrix(prop,1,nlstate,iagemin, iagemax+3);
      }    /* End of Freq */
      printf("\n");  }
    }  
    scanf("%d",i);*/  /************ Prevalence ********************/
      void prevalence(double ***probs, double agemin, double agemax, int **s, double **agev, int nlstate, int imx, int *Tvar, int **nbcode, int *ncodemax,double **mint,double **anint, double dateprev1,double dateprev2, int firstpass, int lastpass)
    /* Calculates basic frequencies. Computes observed prevalence at single age  {  
        and prints on file fileres'p'. */    /* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people
   freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvar,nbcode, ncodemax);       in each health status at the date of interview (if between dateprev1 and dateprev2).
        We still use firstpass and lastpass as another selection.
     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 */    int i, m, jk, k1, i1, j1, bool, z1,z2,j;
     savms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */    double ***freq; /* Frequencies */
     oldm=oldms; newm=newms; savm=savms; /* Keeps fixed addresses to free */    double *pp, **prop;
        double pos,posprop; 
     /* For Powell, parameters are in a vector p[] starting at p[1]    double  y2; /* in fractional years */
        so we point p on param[1][1] so that p[1] maps on param[1][1][1] */    int iagemin, iagemax;
     p=param[1][1]; /* *(*(*(param +1)+1)+0) */  
     iagemin= (int) agemin;
     if(mle==1){    iagemax= (int) agemax;
     mlikeli(ficres,p, npar, ncovmodel, nlstate, ftol, func);    /*pp=vector(1,nlstate);*/
     }    prop=matrix(1,nlstate,iagemin,iagemax+3); 
        /*  freq=ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,iagemin,iagemax+3);*/
     /*--------- results files --------------*/    j1=0;
     fprintf(ficres,"\ntitle=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncov=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\nmodel=%s\n", title, datafile, lastobs, firstpass,lastpass,ftol, stepm, ncov, nlstate, ndeath, maxwav, mle,weightopt,model);    
        j=cptcoveff;
    jk=1;    if (cptcovn<1) {j=1;ncodemax[1]=1;}
    fprintf(ficres,"# Parameters\n");    
    printf("# Parameters\n");    for(k1=1; k1<=j;k1++){
    for(i=1,jk=1; i <=nlstate; i++){      for(i1=1; i1<=ncodemax[k1];i1++){
      for(k=1; k <=(nlstate+ndeath); k++){        j1++;
        if (k != i)        
          {        for (i=1; i<=nlstate; i++)  
            printf("%d%d ",i,k);          for(m=iagemin; m <= iagemax+3; m++)
            fprintf(ficres,"%1d%1d ",i,k);            prop[i][m]=0.0;
            for(j=1; j <=ncovmodel; j++){       
              printf("%f ",p[jk]);        for (i=1; i<=imx; i++) { /* Each individual */
              fprintf(ficres,"%f ",p[jk]);          bool=1;
              jk++;          if  (cptcovn>0) {
            }            for (z1=1; z1<=cptcoveff; z1++) 
            printf("\n");              if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtab[j1][z1]]) 
            fprintf(ficres,"\n");                bool=0;
          }          } 
      }          if (bool==1) { 
    }            for(m=firstpass; m<=lastpass; m++){/* Other selection (we can limit to certain interviews*/
  if(mle==1){              y2=anint[m][i]+(mint[m][i]/12.); /* Fractional date in year */
     /* Computing hessian and covariance matrix */              if ((y2>=dateprev1) && (y2<=dateprev2)) { /* Here is the main selection (fractional years) */
     ftolhess=ftol; /* Usually correct */                if(agev[m][i]==0) agev[m][i]=iagemax+1;
     hesscov(matcov, p, npar, delti, ftolhess, func);                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); 
     fprintf(ficres,"# Scales\n");                if (s[m][i]>0 && s[m][i]<=nlstate) { 
     printf("# Scales\n");                  /*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]]);*/
      for(i=1,jk=1; i <=nlstate; i++){                  prop[s[m][i]][(int)agev[m][i]] += weight[i];
       for(j=1; j <=nlstate+ndeath; j++){                  prop[s[m][i]][iagemax+3] += weight[i]; 
         if (j!=i) {                } 
           fprintf(ficres,"%1d%1d",i,j);              }
           printf("%1d%1d",i,j);            } /* end selection of waves */
           for(k=1; k<=ncovmodel;k++){          }
             printf(" %.5e",delti[jk]);        }
             fprintf(ficres," %.5e",delti[jk]);        for(i=iagemin; i <= iagemax+3; i++){  
             jk++;          
           }          for(jk=1,posprop=0; jk <=nlstate ; jk++) { 
           printf("\n");            posprop += prop[jk][i]; 
           fprintf(ficres,"\n");          } 
         }  
       }          for(jk=1; jk <=nlstate ; jk++){     
       }            if( i <=  iagemax){ 
                  if(posprop>=1.e-5){ 
     k=1;                probs[i][jk][j1]= prop[jk][i]/posprop;
     fprintf(ficres,"# Covariance\n");              } 
     printf("# Covariance\n");            } 
     for(i=1;i<=npar;i++){          }/* end jk */ 
       /*  if (k>nlstate) k=1;        }/* end i */ 
       i1=(i-1)/(ncovmodel*nlstate)+1;      } /* end i1 */
       fprintf(ficres,"%s%d%d",alph[k],i1,tab[i]);    } /* end k1 */
       printf("%s%d%d",alph[k],i1,tab[i]);*/    
       fprintf(ficres,"%3d",i);    /*  free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath, iagemin, iagemax+3);*/
       printf("%3d",i);    /*free_vector(pp,1,nlstate);*/
       for(j=1; j<=i;j++){    free_matrix(prop,1,nlstate, iagemin,iagemax+3);
         fprintf(ficres," %.5e",matcov[i][j]);  }  /* End of prevalence */
         printf(" %.5e",matcov[i][j]);  
       }  /************* Waves Concatenation ***************/
       fprintf(ficres,"\n");  
       printf("\n");  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)
       k++;  {
     }    /* Concatenates waves: wav[i] is the number of effective (useful waves) of individual i.
           Death is a valid wave (if date is known).
     while((c=getc(ficpar))=='#' && c!= EOF){       mw[mi][i] is the mi (mi=1 to wav[i])  effective wave of individual i
       ungetc(c,ficpar);       dh[m][i] or dh[mw[mi][i]][i] is the delay between two effective waves m=mw[mi][i]
       fgets(line, MAXLINE, ficpar);       and mw[mi+1][i]. dh depends on stepm.
       puts(line);       */
       fputs(line,ficparo);  
     }    int i, mi, m;
     ungetc(c,ficpar);    /* int j, k=0,jk, ju, jl,jmin=1e+5, jmax=-1;
         double sum=0., jmean=0.;*/
     fscanf(ficpar,"agemin=%lf agemax=%lf bage=%lf fage=%lf\n",&agemin,&agemax, &bage, &fage);    int first;
        int j, k=0,jk, ju, jl;
     if (fage <= 2) {    double sum=0.;
       bage = agemin;    first=0;
       fage = agemax;    jmin=1e+5;
     }    jmax=-1;
     jmean=0.;
     fprintf(ficres,"# agemin agemax for life expectancy, bage fage (if mle==0 ie no data nor Max likelihood).\n");    for(i=1; i<=imx; i++){
     fprintf(ficres,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f\n",agemin,agemax,bage,fage);      mi=0;
       m=firstpass;
          while(s[m][i] <= nlstate){
 /*------------ gnuplot -------------*/        if(s[m][i]>=1 || s[m][i]==-2 || s[m][i]==-4 || s[m][i]==-5)
 chdir(pathcd);          mw[++mi][i]=m;
   if((ficgp=fopen("graph.plt","w"))==NULL) {        if(m >=lastpass)
     printf("Problem with file graph.gp");goto end;          break;
   }        else
 #ifdef windows          m++;
   fprintf(ficgp,"cd \"%s\" \n",pathc);      }/* end while */
 #endif      if (s[m][i] > nlstate){
 m=pow(2,cptcoveff);        mi++;     /* Death is another wave */
          /* if(mi==0)  never been interviewed correctly before death */
  /* 1eme*/           /* Only death is a correct wave */
   for (cpt=1; cpt<= nlstate ; cpt ++) {        mw[mi][i]=m;
    for (k1=1; k1<= m ; k1 ++) {      }
   
 #ifdef windows      wav[i]=mi;
     fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \nset ter gif small size 400,300\nplot [%.f:%.f] \"vpl%s\" every :::%d::%d u 1:2 \"\%%lf",agemin,fage,fileres,k1-1,k1-1);      if(mi==0){
 #endif        nbwarn++;
 #ifdef unix        if(first==0){
 fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \nplot [%.f:%.f] \"vpl%s\" u 1:2 \"\%%lf",agemin,fage,fileres);          printf("Warning! No valid information for individual %ld line=%d (skipped) and may be others, see log file\n",num[i],i);
 #endif          first=1;
         }
 for (i=1; i<= nlstate ; i ++) {        if(first==1){
   if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");          fprintf(ficlog,"Warning! No valid information for individual %ld line=%d (skipped)\n",num[i],i);
   else fprintf(ficgp," \%%*lf (\%%*lf)");        }
 }      } /* end mi==0 */
     fprintf(ficgp,"\" t\"Stationary prevalence\" w l 0,\"vpl%s\" every :::%d::%d u 1:($2+2*$3) \"\%%lf",fileres,k1-1,k1-1);    } /* End individuals */
     for (i=1; i<= nlstate ; i ++) {  
   if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");    for(i=1; i<=imx; i++){
   else fprintf(ficgp," \%%*lf (\%%*lf)");      for(mi=1; mi<wav[i];mi++){
 }        if (stepm <=0)
   fprintf(ficgp,"\" t\"95\%% CI\" w l 1,\"vpl%s\" every :::%d::%d u 1:($2-2*$3) \"\%%lf",fileres,k1-1,k1-1);          dh[mi][i]=1;
      for (i=1; i<= nlstate ; i ++) {        else{
   if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");          if (s[mw[mi+1][i]][i] > nlstate) { /* A death */
   else fprintf(ficgp," \%%*lf (\%%*lf)");            if (agedc[i] < 2*AGESUP) {
 }                j= rint(agedc[i]*12-agev[mw[mi][i]][i]*12); 
      fprintf(ficgp,"\" t\"\" w l 1,\"p%s\" every :::%d::%d u 1:($%d) t\"Observed prevalence \" w l 2",fileres,k1-1,k1-1,2+4*(cpt-1));              if(j==0) j=1;  /* Survives at least one month after exam */
 #ifdef unix              else if(j<0){
 fprintf(ficgp,"\nset ter gif small size 400,300");                nberr++;
 #endif                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]);
 fprintf(ficgp,"\nset out \"v%s%d%d.gif\" \nreplot\n\n",strtok(optionfile, "."),cpt,k1);                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. 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]);
   /*2 eme*/                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. You MUST fix the contradiction between dates.\n",stepm);
               }
   for (k1=1; k1<= m ; k1 ++) {              k=k+1;
     fprintf(ficgp,"set ylabel \"Years\" \nset ter gif small size 400,300\nplot [%.f:%.f] ",agemin,fage);              if (j >= jmax){
                    jmax=j;
     for (i=1; i<= nlstate+1 ; i ++) {                ijmax=i;
       k=2*i;              }
       fprintf(ficgp,"\"t%s\" every :::%d::%d u 1:2 \"\%%lf",fileres,k1-1,k1-1);              if (j <= jmin){
       for (j=1; j<= nlstate+1 ; j ++) {                jmin=j;
   if (j==i) fprintf(ficgp," \%%lf (\%%lf)");                ijmin=i;
   else fprintf(ficgp," \%%*lf (\%%*lf)");              }
 }                sum=sum+j;
       if (i== 1) fprintf(ficgp,"\" t\"TLE\" w l ,");              /*if (j<0) printf("j=%d num=%d \n",j,i);*/
       else fprintf(ficgp,"\" t\"LE in state (%d)\" w l ,",i-1);              /*    printf("%d %d %d %d\n", s[mw[mi][i]][i] ,s[mw[mi+1][i]][i],j,i);*/
     fprintf(ficgp,"\"t%s\" every :::%d::%d u 1:($2-$3*2) \"\%%lf",fileres,k1-1,k1-1);            }
       for (j=1; j<= nlstate+1 ; j ++) {          }
         if (j==i) fprintf(ficgp," \%%lf (\%%lf)");          else{
         else fprintf(ficgp," \%%*lf (\%%*lf)");            j= rint( (agev[mw[mi+1][i]][i]*12 - agev[mw[mi][i]][i]*12));
 }    /*        if (j<0) printf("%d %lf %lf %d %d %d\n", i,agev[mw[mi+1][i]][i], agev[mw[mi][i]][i],j,s[mw[mi][i]][i] ,s[mw[mi+1][i]][i]); */
       fprintf(ficgp,"\" t\"\" w l 0,");  
      fprintf(ficgp,"\"t%s\" every :::%d::%d u 1:($2+$3*2) \"\%%lf",fileres,k1-1,k1-1);            k=k+1;
       for (j=1; j<= nlstate+1 ; j ++) {            if (j >= jmax) {
   if (j==i) fprintf(ficgp," \%%lf (\%%lf)");              jmax=j;
   else fprintf(ficgp," \%%*lf (\%%*lf)");              ijmax=i;
 }              }
       if (i== (nlstate+1)) fprintf(ficgp,"\" t\"\" w l 0");            else if (j <= jmin){
       else fprintf(ficgp,"\" t\"\" w l 0,");              jmin=j;
     }              ijmin=i;
     fprintf(ficgp,"\nset out \"e%s%d.gif\" \nreplot\n\n",strtok(optionfile, "."),k1);            }
   }            /*        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]);*/
   /*3eme*/            if(j<0){
               nberr++;
   for (k1=1; k1<= m ; k1 ++) {              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]);
     for (cpt=1; cpt<= nlstate ; cpt ++) {              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]);
       k=2+nlstate*(cpt-1);            }
       fprintf(ficgp,"set ter gif small size 400,300\nplot [%.f:%.f] \"e%s\" every :::%d::%d u 1:%d t \"e%d1\" w l",agemin,fage,fileres,k1-1,k1-1,k,cpt);            sum=sum+j;
       for (i=1; i< nlstate ; i ++) {          }
         fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:%d t \"e%d%d\" w l",fileres,k1-1,k1-1,k+i,cpt,i+1);          jk= j/stepm;
       }          jl= j -jk*stepm;
       fprintf(ficgp,"\nset out \"exp%s%d%d.gif\" \nreplot\n\n",strtok(optionfile, "."),cpt,k1);          ju= j -(jk+1)*stepm;
     }          if(mle <=1){ /* only if we use a the linear-interpoloation pseudo-likelihood */
   }            if(jl==0){
                dh[mi][i]=jk;
   /* CV preval stat */              bh[mi][i]=0;
   for (k1=1; k1<= m ; k1 ++) {            }else{ /* We want a negative bias in order to only have interpolation ie
     for (cpt=1; cpt<nlstate ; cpt ++) {                    * at the price of an extra matrix product in likelihood */
       k=3;              dh[mi][i]=jk+1;
       fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \nset ter gif small size 400,300\nplot [%.f:%.f] \"pij%s\" u ($1==%d ? ($3):1/0):($%d/($%d",agemin,agemax,fileres,k1,k+cpt+1,k+1);              bh[mi][i]=ju;
       for (i=1; i< nlstate ; i ++)            }
         fprintf(ficgp,"+$%d",k+i+1);          }else{
       fprintf(ficgp,")) t\"prev(%d,%d)\" w l",cpt,cpt+1);            if(jl <= -ju){
                    dh[mi][i]=jk;
       l=3+(nlstate+ndeath)*cpt;              bh[mi][i]=jl;       /* bias is positive if real duration
       fprintf(ficgp,",\"pij%s\" u ($1==%d ? ($3):1/0):($%d/($%d",fileres,k1,l+cpt+1,l+1);                                   * is higher than the multiple of stepm and negative otherwise.
       for (i=1; i< nlstate ; i ++) {                                   */
         l=3+(nlstate+ndeath)*cpt;            }
         fprintf(ficgp,"+$%d",l+i+1);            else{
       }              dh[mi][i]=jk+1;
       fprintf(ficgp,")) t\"prev(%d,%d)\" w l\n",cpt+1,cpt+1);                bh[mi][i]=ju;
       fprintf(ficgp,"set out \"p%s%d%d.gif\" \nreplot\n\n",strtok(optionfile, "."),cpt,k1);            }
     }            if(dh[mi][i]==0){
   }              dh[mi][i]=1; /* At least one step */
               bh[mi][i]=ju; /* At least one step */
   /* proba elementaires */              /*  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);*/
    for(i=1,jk=1; i <=nlstate; i++){            }
     for(k=1; k <=(nlstate+ndeath); k++){          } /* end if mle */
       if (k != i) {        }
         for(j=1; j <=ncovmodel; j++){      } /* end wave */
           /*fprintf(ficgp,"%s%1d%1d=%f ",alph[j],i,k,p[jk]);*/    }
           /*fprintf(ficgp,"%s",alph[1]);*/    jmean=sum/k;
           fprintf(ficgp,"p%d=%f ",jk,p[jk]);    printf("Delay (in months) between two waves Min=%d (for indiviudal %ld) Max=%d (%ld) Mean=%f\n\n ",jmin, num[ijmin], jmax, num[ijmax], jmean);
           jk++;    fprintf(ficlog,"Delay (in months) between two waves Min=%d (for indiviudal %ld) Max=%d (%ld) Mean=%f\n\n ",jmin, ijmin, jmax, ijmax, jmean);
           fprintf(ficgp,"\n");   }
         }  
       }  /*********** Tricode ****************************/
     }  void tricode(int *Tvar, int **nbcode, int imx)
     }  {
     
   for(jk=1; jk <=m; jk++) {    int Ndum[20],ij=1, k, j, i, maxncov=19;
   fprintf(ficgp,"\nset ter gif small size 400,300\nset log y\nplot  [%.f:%.f] ",agemin,agemax);    int cptcode=0;
    i=1;    cptcoveff=0; 
    for(k2=1; k2<=nlstate; k2++) {   
      k3=i;    for (k=0; k<maxncov; k++) Ndum[k]=0;
      for(k=1; k<=(nlstate+ndeath); k++) {    for (k=1; k<=7; k++) ncodemax[k]=0;
        if (k != k2){  
         fprintf(ficgp," exp(p%d+p%d*x",i,i+1);    for (j=1; j<=(cptcovn+2*cptcovprod); j++) {
 ij=1;      for (i=1; i<=imx; i++) { /*reads the data file to get the maximum 
         for(j=3; j <=ncovmodel; j++) {                                 modality*/ 
           if(((j-2)==Tage[ij]) &&(ij <=cptcovage)) {        ij=(int)(covar[Tvar[j]][i]); /* ij is the modality of this individual*/
             fprintf(ficgp,"+p%d*%d*x",i+j-1,nbcode[Tvar[j-2]][codtab[jk][Tvar[j-2]]]);        Ndum[ij]++; /*store the modality */
             ij++;        /*printf("i=%d ij=%d Ndum[ij]=%d imx=%d",i,ij,Ndum[ij],imx);*/
           }        if (ij > cptcode) cptcode=ij; /* getting the maximum of covariable 
           else                                         Tvar[j]. If V=sex and male is 0 and 
           fprintf(ficgp,"+p%d*%d",i+j-1,nbcode[Tvar[j-2]][codtab[jk][j-2]]);                                         female is 1, then  cptcode=1.*/
         }      }
           fprintf(ficgp,")/(1");  
              for (i=0; i<=cptcode; i++) {
         for(k1=1; k1 <=nlstate; k1++){          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 */
           fprintf(ficgp,"+exp(p%d+p%d*x",k3+(k1-1)*ncovmodel,k3+(k1-1)*ncovmodel+1);      }
 ij=1;  
           for(j=3; j <=ncovmodel; j++){      ij=1; 
           if(((j-2)==Tage[ij]) &&(ij <=cptcovage)) {      for (i=1; i<=ncodemax[j]; i++) {
             fprintf(ficgp,"+p%d*%d*x",k3+(k1-1)*ncovmodel+1+j-2,nbcode[Tvar[j-2]][codtab[jk][Tvar[j-2]]]);        for (k=0; k<= maxncov; k++) {
             ij++;          if (Ndum[k] != 0) {
           }            nbcode[Tvar[j]][ij]=k; 
           else            /* 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; */
             fprintf(ficgp,"+p%d*%d",k3+(k1-1)*ncovmodel+1+j-2,nbcode[Tvar[j-2]][codtab[jk][j-2]]);            
           }            ij++;
           fprintf(ficgp,")");          }
         }          if (ij > ncodemax[j]) break; 
         fprintf(ficgp,") t \"p%d%d\" ", k2,k);        }  
         if ((k+k2)!= (nlstate*2+ndeath)) fprintf(ficgp,",");      } 
         i=i+ncovmodel;    }  
        }  
      }   for (k=0; k< maxncov; k++) Ndum[k]=0;
    }  
    fprintf(ficgp,"\nset out \"pe%s%d.gif\" \nreplot\n\n",strtok(optionfile, "."),jk);   for (i=1; i<=ncovmodel-2; i++) { 
   }     /* Listing of all covariables in statement model to see if some covariates appear twice. For example, V1 appears twice in V1+V1*V2.*/
         ij=Tvar[i];
   fclose(ficgp);     Ndum[ij]++;
       }
 chdir(path);  
     free_matrix(agev,1,maxwav,1,imx);   ij=1;
     free_ivector(wav,1,imx);   for (i=1; i<= maxncov; i++) {
     free_imatrix(dh,1,lastpass-firstpass+1,1,imx);     if((Ndum[i]!=0) && (i<=ncovcol)){
     free_imatrix(mw,1,lastpass-firstpass+1,1,imx);       Tvaraff[ij]=i; /*For printing */
           ij++;
     free_imatrix(s,1,maxwav+1,1,n);     }
       }
       
     free_ivector(num,1,n);   cptcoveff=ij-1; /*Number of simple covariates*/
     free_vector(agedc,1,n);  }
     free_vector(weight,1,n);  
     /*free_matrix(covar,1,NCOVMAX,1,n);*/  /*********** Health Expectancies ****************/
     fclose(ficparo);  
     fclose(ficres);  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,char strstart[] )
     /*  }*/  
      {
    /*________fin mle=1_________*/    /* Health expectancies */
        int i, j, nhstepm, hstepm, h, nstepm, k, cptj;
     double age, agelim, hf;
      double ***p3mat,***varhe;
     /* No more information from the sample is required now */    double **dnewm,**doldm;
   /* Reads comments: lines beginning with '#' */    double *xp;
   while((c=getc(ficpar))=='#' && c!= EOF){    double **gp, **gm;
     ungetc(c,ficpar);    double ***gradg, ***trgradg;
     fgets(line, MAXLINE, ficpar);    int theta;
     puts(line);  
     fputs(line,ficparo);    varhe=ma3x(1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int) fage);
   }    xp=vector(1,npar);
   ungetc(c,ficpar);    dnewm=matrix(1,nlstate*nlstate,1,npar);
      doldm=matrix(1,nlstate*nlstate,1,nlstate*nlstate);
   fscanf(ficpar,"agemin=%lf agemax=%lf bage=%lf fage=%lf\n",&agemin,&agemax, &bage, &fage);    
   printf("agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f\n",agemin,agemax, bage, fage);    fprintf(ficreseij,"# Local time at start: %s", strstart);
   fprintf(ficparo,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f\n",agemin,agemax,bage,fage);    fprintf(ficreseij,"# Health expectancies\n");
 /*--------- index.htm --------*/    fprintf(ficreseij,"# Age");
     for(i=1; i<=nlstate;i++)
   if((fichtm=fopen("index.htm","w"))==NULL)    {      for(j=1; j<=nlstate;j++)
     printf("Problem with index.htm \n");goto end;        fprintf(ficreseij," %1d-%1d (SE)",i,j);
   }    fprintf(ficreseij,"\n");
   
  fprintf(fichtm,"<body><ul> Imach, Version 0.64a<hr> <li>Outputs files<br><br>\n    if(estepm < stepm){
         - Observed prevalence in each state: <a href=\"p%s\">p%s</a> <br>\n      printf ("Problem %d lower than %d\n",estepm, stepm);
 - Estimated parameters and the covariance matrix: <a href=\"%s\">%s</a> <br>    }
         - Stationary prevalence in each state: <a href=\"pl%s\">pl%s</a> <br>    else  hstepm=estepm;   
         - Transition probabilities: <a href=\"pij%s\">pij%s</a><br>    /* We compute the life expectancy from trapezoids spaced every estepm months
         - Copy of the parameter file: <a href=\"o%s\">o%s</a><br>     * This is mainly to measure the difference between two models: for example
         - Life expectancies by age and initial health status: <a href=\"e%s\">e%s</a> <br>     * if stepm=24 months pijx are given only every 2 years and by summing them
         - Variances of life expectancies by age and initial health status: <a href=\"v%s\">v%s</a><br>     * we are calculating an estimate of the Life Expectancy assuming a linear 
         - Health expectancies with their variances: <a href=\"t%s\">t%s</a> <br>     * progression in between and thus overestimating or underestimating according
         - Standard deviation of stationary prevalences: <a href=\"vpl%s\">vpl%s</a> <br><br>",fileres,fileres,fileres,fileres,fileres,fileres,fileres,fileres,fileres,fileres,fileres,fileres,fileres,fileres,fileres,fileres,fileres,fileres);     * 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(fichtm," <li>Graphs</li>\n<p>");     * to compare the new estimate of Life expectancy with the same linear 
      * hypothesis. A more precise result, taking into account a more precise
  m=cptcoveff;     * curvature will be obtained if estepm is as small as stepm. */
  if (cptcovn < 1) {m=1;ncodemax[1]=1;}  
     /* For example we decided to compute the life expectancy with the smallest unit */
  j1=0;    /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
  for(k1=1; k1<=m;k1++){       nhstepm is the number of hstepm from age to agelim 
    for(i1=1; i1<=ncodemax[k1];i1++){       nstepm is the number of stepm from age to agelin. 
        j1++;       Look at hpijx to understand the reason of that which relies in memory size
        if (cptcovn > 0) {       and note for a fixed period like estepm months */
          fprintf(fichtm,"<hr>************ Results for covariates");    /* We decided (b) to get a life expectancy respecting the most precise curvature of the
          for (cpt=1; cpt<=cptcoveff;cpt++)       survival function given by stepm (the optimization length). Unfortunately it
            fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtab[j1][cpt]]);       means that if the survival funtion is printed only each two years of age and if
          fprintf(fichtm," ************\n<hr>");       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.
        fprintf(fichtm,"<br>- Probabilities: pe%s%d.gif<br>    */
 <img src=\"pe%s%d.gif\">",strtok(optionfile, "."),j1,strtok(optionfile, "."),j1);        hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
        for(cpt=1; cpt<nlstate;cpt++){  
          fprintf(fichtm,"<br>- Prevalence of disability : p%s%d%d.gif<br>    agelim=AGESUP;
 <img src=\"p%s%d%d.gif\">",strtok(optionfile, "."),cpt,j1,strtok(optionfile, "."),cpt,j1);    for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
        }      /* nhstepm age range expressed in number of stepm */
     for(cpt=1; cpt<=nlstate;cpt++) {      nstepm=(int) rint((agelim-age)*YEARM/stepm); 
        fprintf(fichtm,"<br>- Observed and stationary prevalence (with confident      /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
 interval) in state (%d): v%s%d%d.gif <br>      /* if (stepm >= YEARM) hstepm=1;*/
 <img src=\"v%s%d%d.gif\">",cpt,strtok(optionfile, "."),cpt,j1,strtok(optionfile, "."),cpt,j1);        nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
      }      p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
      for(cpt=1; cpt<=nlstate;cpt++) {      gradg=ma3x(0,nhstepm,1,npar,1,nlstate*nlstate);
         fprintf(fichtm,"\n<br>- Health life expectancies by age and initial health state (%d): exp%s%d%d.gif <br>      gp=matrix(0,nhstepm,1,nlstate*nlstate);
 <img src=\"exp%s%d%d.gif\">",cpt,strtok(optionfile, "."),cpt,j1,strtok(optionfile, "."),cpt,j1);      gm=matrix(0,nhstepm,1,nlstate*nlstate);
      }  
      fprintf(fichtm,"\n<br>- Total life expectancy by age and      /* Computed by stepm unit matrices, product of hstepm matrices, stored
 health expectancies in states (1) and (2): e%s%d.gif<br>         in an array of nhstepm length: nhstepm=10, hstepm=4, stepm=6 months */
 <img src=\"e%s%d.gif\">",strtok(optionfile, "."),j1,strtok(optionfile, "."),j1);      hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm, savm, ij);  
 fprintf(fichtm,"\n</body>");   
    }  
  }      hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
 fclose(fichtm);  
       /* Computing  Variances of health expectancies */
   /*--------------- Prevalence limit --------------*/  
         for(theta=1; theta <=npar; theta++){
   strcpy(filerespl,"pl");        for(i=1; i<=npar; i++){ 
   strcat(filerespl,fileres);          xp[i] = x[i] + (i==theta ?delti[theta]:0);
   if((ficrespl=fopen(filerespl,"w"))==NULL) {        }
     printf("Problem with Prev limit resultfile: %s\n", filerespl);goto end;        hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);  
   }    
   printf("Computing prevalence limit: result on file '%s' \n", filerespl);        cptj=0;
   fprintf(ficrespl,"#Prevalence limit\n");        for(j=1; j<= nlstate; j++){
   fprintf(ficrespl,"#Age ");          for(i=1; i<=nlstate; i++){
   for(i=1; i<=nlstate;i++) fprintf(ficrespl,"%d-%d ",i,i);            cptj=cptj+1;
   fprintf(ficrespl,"\n");            for(h=0, gp[h][cptj]=0.; h<=nhstepm-1; h++){
                gp[h][cptj] = (p3mat[i][j][h]+p3mat[i][j][h+1])/2.;
   prlim=matrix(1,nlstate,1,nlstate);            }
   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(i=1; i<=npar; i++) 
   k=0;          xp[i] = x[i] - (i==theta ?delti[theta]:0);
   agebase=agemin;        hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);  
   agelim=agemax;        
   ftolpl=1.e-10;        cptj=0;
   i1=cptcoveff;        for(j=1; j<= nlstate; j++){
   if (cptcovn < 1){i1=1;}          for(i=1;i<=nlstate;i++){
             cptj=cptj+1;
   for(cptcov=1;cptcov<=i1;cptcov++){            for(h=0, gm[h][cptj]=0.; h<=nhstepm-1; h++){
     for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){  
         k=k+1;              gm[h][cptj] = (p3mat[i][j][h]+p3mat[i][j][h+1])/2.;
         /*printf("cptcov=%d cptcod=%d codtab=%d nbcode=%d\n",cptcov, cptcod,Tcode[cptcode],codtab[cptcod][cptcov]);*/            }
         fprintf(ficrespl,"\n#******");          }
         for(j=1;j<=cptcoveff;j++)        }
           fprintf(ficrespl," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);        for(j=1; j<= nlstate*nlstate; j++)
         fprintf(ficrespl,"******\n");          for(h=0; h<=nhstepm-1; h++){
                    gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta];
         for (age=agebase; age<=agelim; age++){          }
           prevalim(prlim, nlstate, p, age, oldm, savm,ftolpl,k);       } 
           fprintf(ficrespl,"%.0f",age );     
           for(i=1; i<=nlstate;i++)  /* End theta */
           fprintf(ficrespl," %.5f", prlim[i][i]);  
           fprintf(ficrespl,"\n");       trgradg =ma3x(0,nhstepm,1,nlstate*nlstate,1,npar);
         }  
       }       for(h=0; h<=nhstepm-1; h++)
     }        for(j=1; j<=nlstate*nlstate;j++)
   fclose(ficrespl);          for(theta=1; theta <=npar; theta++)
   /*------------- h Pij x at various ages ------------*/            trgradg[h][j][theta]=gradg[h][theta][j];
         
   strcpy(filerespij,"pij");  strcat(filerespij,fileres);  
   if((ficrespij=fopen(filerespij,"w"))==NULL) {       for(i=1;i<=nlstate*nlstate;i++)
     printf("Problem with Pij resultfile: %s\n", filerespij);goto end;        for(j=1;j<=nlstate*nlstate;j++)
   }          varhe[i][j][(int)age] =0.;
   printf("Computing pij: result on file '%s' \n", filerespij);  
         printf("%d|",(int)age);fflush(stdout);
   stepsize=(int) (stepm+YEARM-1)/YEARM;       fprintf(ficlog,"%d|",(int)age);fflush(ficlog);
   if (stepm<=24) stepsize=2;       for(h=0;h<=nhstepm-1;h++){
         for(k=0;k<=nhstepm-1;k++){
   agelim=AGESUP;          matprod2(dnewm,trgradg[h],1,nlstate*nlstate,1,npar,1,npar,matcov);
   hstepm=stepsize*YEARM; /* Every year of age */          matprod2(doldm,dnewm,1,nlstate*nlstate,1,npar,1,nlstate*nlstate,gradg[k]);
   hstepm=hstepm/stepm; /* Typically 2 years, = 2/6 months = 4 */          for(i=1;i<=nlstate*nlstate;i++)
              for(j=1;j<=nlstate*nlstate;j++)
   k=0;              varhe[i][j][(int)age] += doldm[i][j]*hf*hf;
   for(cptcov=1;cptcov<=i1;cptcov++){        }
     for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){      }
       k=k+1;      /* Computing expectancies */
         fprintf(ficrespij,"\n#****** ");      for(i=1; i<=nlstate;i++)
         for(j=1;j<=cptcoveff;j++)        for(j=1; j<=nlstate;j++)
           fprintf(ficrespij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);          for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){
         fprintf(ficrespij,"******\n");            eij[i][j][(int)age] += (p3mat[i][j][h]+p3mat[i][j][h+1])/2.0*hf;
                    
         for (agedeb=fage; agedeb>=bage; agedeb--){ /* If stepm=6 months */  /* 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]);*/
           nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */  
           nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */          }
           p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);  
           oldm=oldms;savm=savms;      fprintf(ficreseij,"%3.0f",age );
           hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);        cptj=0;
           fprintf(ficrespij,"# Age");      for(i=1; i<=nlstate;i++)
           for(i=1; i<=nlstate;i++)        for(j=1; j<=nlstate;j++){
             for(j=1; j<=nlstate+ndeath;j++)          cptj++;
               fprintf(ficrespij," %1d-%1d",i,j);          fprintf(ficreseij," %9.4f (%.4f)", eij[i][j][(int)age], sqrt(varhe[cptj][cptj][(int)age]) );
           fprintf(ficrespij,"\n");        }
           for (h=0; h<=nhstepm; h++){      fprintf(ficreseij,"\n");
             fprintf(ficrespij,"%d %.0f %.0f",k,agedeb, agedeb+ h*hstepm/YEARM*stepm );     
             for(i=1; i<=nlstate;i++)      free_matrix(gm,0,nhstepm,1,nlstate*nlstate);
               for(j=1; j<=nlstate+ndeath;j++)      free_matrix(gp,0,nhstepm,1,nlstate*nlstate);
                 fprintf(ficrespij," %.5f", p3mat[i][j][h]);      free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate*nlstate);
             fprintf(ficrespij,"\n");      free_ma3x(trgradg,0,nhstepm,1,nlstate*nlstate,1,npar);
           }      free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
           free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);    }
           fprintf(ficrespij,"\n");    printf("\n");
         }    fprintf(ficlog,"\n");
     }  
   }    free_vector(xp,1,npar);
     free_matrix(dnewm,1,nlstate*nlstate,1,npar);
   fclose(ficrespij);    free_matrix(doldm,1,nlstate*nlstate,1,nlstate*nlstate);
     free_ma3x(varhe,1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int)fage);
   /*---------- Health expectancies and variances ------------*/  }
   
   strcpy(filerest,"t");  /************ Variance ******************/
   strcat(filerest,fileres);  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, char strstart[])
   if((ficrest=fopen(filerest,"w"))==NULL) {  {
     printf("Problem with total LE resultfile: %s\n", filerest);goto end;    /* Variance of health expectancies */
   }    /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);*/
   printf("Computing Total LEs with variances: file '%s' \n", filerest);    /* double **newm;*/
     double **dnewm,**doldm;
     double **dnewmp,**doldmp;
   strcpy(filerese,"e");    int i, j, nhstepm, hstepm, h, nstepm ;
   strcat(filerese,fileres);    int k, cptcode;
   if((ficreseij=fopen(filerese,"w"))==NULL) {    double *xp;
     printf("Problem with Health Exp. resultfile: %s\n", filerese); exit(0);    double **gp, **gm;  /* for var eij */
   }    double ***gradg, ***trgradg; /*for var eij */
   printf("Computing Health Expectancies: result on file '%s' \n", filerese);    double **gradgp, **trgradgp; /* for var p point j */
     double *gpp, *gmp; /* for var p point j */
  strcpy(fileresv,"v");    double **varppt; /* for var p point j nlstate to nlstate+ndeath */
   strcat(fileresv,fileres);    double ***p3mat;
   if((ficresvij=fopen(fileresv,"w"))==NULL) {    double age,agelim, hf;
     printf("Problem with variance resultfile: %s\n", fileresv);exit(0);    double ***mobaverage;
   }    int theta;
   printf("Computing Variance-covariance of DFLEs: file '%s' \n", fileresv);    char digit[4];
     char digitp[25];
   k=0;  
   for(cptcov=1;cptcov<=i1;cptcov++){    char fileresprobmorprev[FILENAMELENGTH];
     for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){  
       k=k+1;    if(popbased==1){
       fprintf(ficrest,"\n#****** ");      if(mobilav!=0)
       for(j=1;j<=cptcoveff;j++)        strcpy(digitp,"-populbased-mobilav-");
         fprintf(ficrest,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);      else strcpy(digitp,"-populbased-nomobil-");
       fprintf(ficrest,"******\n");    }
     else 
       fprintf(ficreseij,"\n#****** ");      strcpy(digitp,"-stablbased-");
       for(j=1;j<=cptcoveff;j++)  
         fprintf(ficreseij,"V%d=%d ",j,nbcode[j][codtab[k][j]]);    if (mobilav!=0) {
       fprintf(ficreseij,"******\n");      mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
       if (movingaverage(probs, bage, fage, mobaverage,mobilav)!=0){
       fprintf(ficresvij,"\n#****** ");        fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
       for(j=1;j<=cptcoveff;j++)        printf(" Error in movingaverage mobilav=%d\n",mobilav);
         fprintf(ficresvij,"V%d=%d ",j,nbcode[j][codtab[k][j]]);      }
       fprintf(ficresvij,"******\n");    }
   
       eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);    strcpy(fileresprobmorprev,"prmorprev"); 
       oldm=oldms;savm=savms;    sprintf(digit,"%-d",ij);
       evsij(fileres, eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k);      /*printf("DIGIT=%s, ij=%d ijr=%-d|\n",digit, ij,ij);*/
       vareij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);    strcat(fileresprobmorprev,digit); /* Tvar to be done */
       oldm=oldms;savm=savms;    strcat(fileresprobmorprev,digitp); /* Popbased or not, mobilav or not */
       varevsij(fileres, vareij, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k);    strcat(fileresprobmorprev,fileres);
          if((ficresprobmorprev=fopen(fileresprobmorprev,"w"))==NULL) {
       fprintf(ficrest,"#Total LEs with variances: e.. (std) ");      printf("Problem with resultfile: %s\n", fileresprobmorprev);
       for (i=1;i<=nlstate;i++) fprintf(ficrest,"e.%d (std) ",i);      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobmorprev);
       fprintf(ficrest,"\n");    }
            printf("Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
       hf=1;   
       if (stepm >= YEARM) hf=stepm/YEARM;    fprintf(ficlog,"Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
       epj=vector(1,nlstate+1);    fprintf(ficresprobmorprev, "#Local time at start: %s", strstart);
       for(age=bage; age <=fage ;age++){    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);
         prevalim(prlim, nlstate, p, age, oldm, savm,ftolpl,k);    fprintf(ficresprobmorprev,"# Age cov=%-d",ij);
         fprintf(ficrest," %.0f",age);    for(j=nlstate+1; j<=(nlstate+ndeath);j++){
         for(j=1, epj[nlstate+1]=0.;j <=nlstate;j++){      fprintf(ficresprobmorprev," p.%-d SE",j);
           for(i=1, epj[j]=0.;i <=nlstate;i++) {      for(i=1; i<=nlstate;i++)
             epj[j] += prlim[i][i]*hf*eij[i][j][(int)age];        fprintf(ficresprobmorprev," w%1d p%-d%-d",i,i,j);
           }    }  
           epj[nlstate+1] +=epj[j];    fprintf(ficresprobmorprev,"\n");
         }    fprintf(ficgp,"\n# Routine varevsij");
         for(i=1, vepp=0.;i <=nlstate;i++)    /* fprintf(fichtm, "#Local time at start: %s", strstart);*/
           for(j=1;j <=nlstate;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");
             vepp += vareij[i][j][(int)age];    fprintf(fichtm,"\n<br>%s  <br>\n",digitp);
         fprintf(ficrest," %.2f (%.2f)", epj[nlstate+1],hf*sqrt(vepp));  /*   } */
         for(j=1;j <=nlstate;j++){    varppt = matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
           fprintf(ficrest," %.2f (%.2f)", epj[j],hf*sqrt(vareij[j][j][(int)age]));   fprintf(ficresvij, "#Local time at start: %s", strstart);
         }    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(ficrest,"\n");    fprintf(ficresvij,"# Age");
       }    for(i=1; i<=nlstate;i++)
     }      for(j=1; j<=nlstate;j++)
   }        fprintf(ficresvij," Cov(e%1d, e%1d)",i,j);
            fprintf(ficresvij,"\n");
  fclose(ficreseij);  
  fclose(ficresvij);    xp=vector(1,npar);
   fclose(ficrest);    dnewm=matrix(1,nlstate,1,npar);
   fclose(ficpar);    doldm=matrix(1,nlstate,1,nlstate);
   free_vector(epj,1,nlstate+1);    dnewmp= matrix(nlstate+1,nlstate+ndeath,1,npar);
   /*  scanf("%d ",i); */    doldmp= matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
   
   /*------- Variance limit prevalence------*/      gradgp=matrix(1,npar,nlstate+1,nlstate+ndeath);
     gpp=vector(nlstate+1,nlstate+ndeath);
 strcpy(fileresvpl,"vpl");    gmp=vector(nlstate+1,nlstate+ndeath);
   strcat(fileresvpl,fileres);    trgradgp =matrix(nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
   if((ficresvpl=fopen(fileresvpl,"w"))==NULL) {    
     printf("Problem with variance prev lim resultfile: %s\n", fileresvpl);    if(estepm < stepm){
     exit(0);      printf ("Problem %d lower than %d\n",estepm, stepm);
   }    }
   printf("Computing Variance-covariance of Prevalence limit: file '%s' \n", fileresvpl);    else  hstepm=estepm;   
     /* For example we decided to compute the life expectancy with the smallest unit */
  k=0;    /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
  for(cptcov=1;cptcov<=i1;cptcov++){       nhstepm is the number of hstepm from age to agelim 
    for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){       nstepm is the number of stepm from age to agelin. 
      k=k+1;       Look at hpijx to understand the reason of that which relies in memory size
      fprintf(ficresvpl,"\n#****** ");       and note for a fixed period like k years */
      for(j=1;j<=cptcoveff;j++)    /* We decided (b) to get a life expectancy respecting the most precise curvature of the
        fprintf(ficresvpl,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);       survival function given by stepm (the optimization length). Unfortunately it
      fprintf(ficresvpl,"******\n");       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 
      varpl=matrix(1,nlstate,(int) bage, (int) fage);       results. So we changed our mind and took the option of the best precision.
      oldm=oldms;savm=savms;    */
      varprevlim(fileres, varpl, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k);    hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
    }    agelim = AGESUP;
  }    for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
       nstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
   fclose(ficresvpl);      nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
       p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
   /*---------- End : free ----------------*/      gradg=ma3x(0,nhstepm,1,npar,1,nlstate);
   free_matrix(varpl,1,nlstate,(int) bage, (int)fage);      gp=matrix(0,nhstepm,1,nlstate);
        gm=matrix(0,nhstepm,1,nlstate);
   free_ma3x(vareij,1,nlstate,1,nlstate,(int) bage, (int)fage);  
   free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);  
        for(theta=1; theta <=npar; theta++){
          for(i=1; i<=npar; i++){ /* Computes gradient x + delta*/
   free_matrix(pmmij,1,nlstate+ndeath,1,nlstate+ndeath);          xp[i] = x[i] + (i==theta ?delti[theta]:0);
   free_matrix(oldms, 1,nlstate+ndeath,1,nlstate+ndeath);        }
   free_matrix(newms, 1,nlstate+ndeath,1,nlstate+ndeath);        hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);  
   free_matrix(savms, 1,nlstate+ndeath,1,nlstate+ndeath);        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);
    
   free_matrix(matcov,1,npar,1,npar);        if (popbased==1) {
   free_vector(delti,1,npar);          if(mobilav ==0){
              for(i=1; i<=nlstate;i++)
   free_ma3x(param,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel);              prlim[i][i]=probs[(int)age][i][ij];
           }else{ /* mobilav */ 
   printf("End of Imach\n");            for(i=1; i<=nlstate;i++)
   /*  gettimeofday(&end_time, (struct timezone*)0);*/  /* after time */              prlim[i][i]=mobaverage[(int)age][i][ij];
            }
   /* printf("Total time was %d Sec. %d uSec.\n", end_time.tv_sec -start_time.tv_sec, end_time.tv_usec -start_time.tv_usec);*/        }
   /*printf("Total time was %d uSec.\n", total_usecs);*/    
   /*------ End -----------*/        for(j=1; j<= nlstate; j++){
           for(h=0; h<=nhstepm; h++){
  end:            for(i=1, gp[h][j]=0.;i<=nlstate;i++)
 #ifdef windows              gp[h][j] += prlim[i][i]*p3mat[i][j][h];
  chdir(pathcd);          }
 #endif        }
  system("wgnuplot graph.plt");        /* This for computing probability of death (h=1 means
            computed over hstepm matrices product = hstepm*stepm months) 
 #ifdef windows           as a weighted average of prlim.
   while (z[0] != 'q') {        */
     chdir(pathcd);        for(j=nlstate+1;j<=nlstate+ndeath;j++){
     printf("\nType e to edit output files, c to start again, and q for exiting: ");          for(i=1,gpp[j]=0.; i<= nlstate; i++)
     scanf("%s",z);            gpp[j] += prlim[i][i]*p3mat[i][j][1];
     if (z[0] == 'c') system("./imach");        }    
     else if (z[0] == 'e') {        /* end probability of death */
       chdir(path);  
       system("index.htm");        for(i=1; i<=npar; i++) /* Computes gradient x - delta */
     }          xp[i] = x[i] - (i==theta ?delti[theta]:0);
     else if (z[0] == 'q') exit(0);        hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);  
   }        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);
 #endif   
 }        if (popbased==1) {
           if(mobilav ==0){
             for(i=1; i<=nlstate;i++)
               prlim[i][i]=probs[(int)age][i][ij];
           }else{ /* mobilav */ 
             for(i=1; i<=nlstate;i++)
               prlim[i][i]=mobaverage[(int)age][i][ij];
           }
         }
   
         for(j=1; j<= nlstate; j++){
           for(h=0; h<=nhstepm; h++){
             for(i=1, gm[h][j]=0.;i<=nlstate;i++)
               gm[h][j] += prlim[i][i]*p3mat[i][j][h];
           }
         }
         /* This for computing probability of death (h=1 means
            computed over hstepm matrices product = hstepm*stepm months) 
            as a weighted average of prlim.
         */
         for(j=nlstate+1;j<=nlstate+ndeath;j++){
           for(i=1,gmp[j]=0.; i<= nlstate; i++)
            gmp[j] += prlim[i][i]*p3mat[i][j][1];
         }    
         /* end probability of death */
   
         for(j=1; j<= nlstate; j++) /* vareij */
           for(h=0; h<=nhstepm; h++){
             gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta];
           }
   
         for(j=nlstate+1; j<= nlstate+ndeath; j++){ /* var mu */
           gradgp[theta][j]= (gpp[j]-gmp[j])/2./delti[theta];
         }
   
       } /* End theta */
   
       trgradg =ma3x(0,nhstepm,1,nlstate,1,npar); /* veij */
   
       for(h=0; h<=nhstepm; h++) /* veij */
         for(j=1; j<=nlstate;j++)
           for(theta=1; theta <=npar; theta++)
             trgradg[h][j][theta]=gradg[h][theta][j];
   
       for(j=nlstate+1; j<=nlstate+ndeath;j++) /* mu */
         for(theta=1; theta <=npar; theta++)
           trgradgp[j][theta]=gradgp[theta][j];
     
   
       hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
       for(i=1;i<=nlstate;i++)
         for(j=1;j<=nlstate;j++)
           vareij[i][j][(int)age] =0.;
   
       for(h=0;h<=nhstepm;h++){
         for(k=0;k<=nhstepm;k++){
           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++)
               vareij[i][j][(int)age] += doldm[i][j]*hf*hf;
         }
       }
     
       /* pptj */
       matprod2(dnewmp,trgradgp,nlstate+1,nlstate+ndeath,1,npar,1,npar,matcov);
       matprod2(doldmp,dnewmp,nlstate+1,nlstate+ndeath,1,npar,nlstate+1,nlstate+ndeath,gradgp);
       for(j=nlstate+1;j<=nlstate+ndeath;j++)
         for(i=nlstate+1;i<=nlstate+ndeath;i++)
           varppt[j][i]=doldmp[j][i];
       /* end ppptj */
       /*  x centered again */
       hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm,savm, ij);  
       prevalim(prlim,nlstate,x,age,oldm,savm,ftolpl,ij);
    
       if (popbased==1) {
         if(mobilav ==0){
           for(i=1; i<=nlstate;i++)
             prlim[i][i]=probs[(int)age][i][ij];
         }else{ /* mobilav */ 
           for(i=1; i<=nlstate;i++)
             prlim[i][i]=mobaverage[(int)age][i][ij];
         }
       }
                
       /* This for computing probability of death (h=1 means
          computed over hstepm (estepm) matrices product = hstepm*stepm months) 
          as a weighted average of prlim.
       */
       for(j=nlstate+1;j<=nlstate+ndeath;j++){
         for(i=1,gmp[j]=0.;i<= nlstate; i++) 
           gmp[j] += prlim[i][i]*p3mat[i][j][1]; 
       }    
       /* end probability of death */
   
       fprintf(ficresprobmorprev,"%3d %d ",(int) age, ij);
       for(j=nlstate+1; j<=(nlstate+ndeath);j++){
         fprintf(ficresprobmorprev," %11.3e %11.3e",gmp[j], sqrt(varppt[j][j]));
         for(i=1; i<=nlstate;i++){
           fprintf(ficresprobmorprev," %11.3e %11.3e ",prlim[i][i],p3mat[i][j][1]);
         }
       } 
       fprintf(ficresprobmorprev,"\n");
   
       fprintf(ficresvij,"%.0f ",age );
       for(i=1; i<=nlstate;i++)
         for(j=1; j<=nlstate;j++){
           fprintf(ficresvij," %.4f", vareij[i][j][(int)age]);
         }
       fprintf(ficresvij,"\n");
       free_matrix(gp,0,nhstepm,1,nlstate);
       free_matrix(gm,0,nhstepm,1,nlstate);
       free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate);
       free_ma3x(trgradg,0,nhstepm,1,nlstate,1,npar);
       free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
     } /* End age */
     free_vector(gpp,nlstate+1,nlstate+ndeath);
     free_vector(gmp,nlstate+1,nlstate+ndeath);
     free_matrix(gradgp,1,npar,nlstate+1,nlstate+ndeath);
     free_matrix(trgradgp,nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
     fprintf(ficgp,"\nset noparametric;set nolabel; set ter png small;set size 0.65, 0.65");
     /* for(j=nlstate+1; j<= nlstate+ndeath; j++){ *//* Only the first actually */
     fprintf(ficgp,"\n set log y; set nolog x;set xlabel \"Age\"; set ylabel \"Force of mortality (year-1)\";");
   /*   fprintf(ficgp,"\n plot \"%s\"  u 1:($3*%6.3f) not w l 1 ",fileresprobmorprev,YEARM/estepm); */
   /*   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)*%6.3f) t \"95\%% interval\" w l 2 ",fileresprobmorprev,YEARM/estepm); */
   /*   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)*%6.3f) not w l 2 ",fileresprobmorprev,YEARM/estepm); */
     fprintf(ficgp,"\n plot \"%s\"  u 1:($3) not w l 1 ",subdirf(fileresprobmorprev));
     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));
     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);
   */
   /*   fprintf(ficgp,"\nset out \"varmuptjgr%s%s%s.png\";replot;",digitp,optionfilefiname,digit); */
     fprintf(ficgp,"\nset out \"%s%s.png\";replot;\n",subdirf3(optionfilefiname,"varmuptjgr",digitp),digit);
   
     free_vector(xp,1,npar);
     free_matrix(doldm,1,nlstate,1,nlstate);
     free_matrix(dnewm,1,nlstate,1,npar);
     free_matrix(doldmp,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
     free_matrix(dnewmp,nlstate+1,nlstate+ndeath,1,npar);
     free_matrix(varppt,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
     if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
     fclose(ficresprobmorprev);
     fflush(ficgp);
     fflush(fichtm); 
   }  /* end varevsij */
   
   /************ 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, char strstart[])
   {
     /* Variance of prevalence limit */
     /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double **savm,double ftolpl);*/
     double **newm;
     double **dnewm,**doldm;
     int i, j, nhstepm, hstepm;
     int k, cptcode;
     double *xp;
     double *gp, *gm;
     double **gradg, **trgradg;
     double age,agelim;
     int theta;
     fprintf(ficresvpl, "#Local time at start: %s", strstart); 
     fprintf(ficresvpl,"# Standard deviation of stable prevalences \n");
     fprintf(ficresvpl,"# Age");
     for(i=1; i<=nlstate;i++)
         fprintf(ficresvpl," %1d-%1d",i,i);
     fprintf(ficresvpl,"\n");
   
     xp=vector(1,npar);
     dnewm=matrix(1,nlstate,1,npar);
     doldm=matrix(1,nlstate,1,nlstate);
     
     hstepm=1*YEARM; /* Every year of age */
     hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */ 
     agelim = AGESUP;
     for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
       nhstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
       if (stepm >= YEARM) hstepm=1;
       nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
       gradg=matrix(1,npar,1,nlstate);
       gp=vector(1,nlstate);
       gm=vector(1,nlstate);
   
       for(theta=1; theta <=npar; theta++){
         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);
         for(i=1;i<=nlstate;i++)
           gp[i] = prlim[i][i];
       
         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);
         for(i=1;i<=nlstate;i++)
           gm[i] = prlim[i][i];
   
         for(i=1;i<=nlstate;i++)
           gradg[theta][i]= (gp[i]-gm[i])/2./delti[theta];
       } /* End theta */
   
       trgradg =matrix(1,nlstate,1,npar);
   
       for(j=1; j<=nlstate;j++)
         for(theta=1; theta <=npar; theta++)
           trgradg[j][theta]=gradg[theta][j];
   
       for(i=1;i<=nlstate;i++)
         varpl[i][(int)age] =0.;
       matprod2(dnewm,trgradg,1,nlstate,1,npar,1,npar,matcov);
       matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg);
       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");
       free_vector(gp,1,nlstate);
       free_vector(gm,1,nlstate);
       free_matrix(gradg,1,npar,1,nlstate);
       free_matrix(trgradg,1,nlstate,1,npar);
     } /* End age */
   
     free_vector(xp,1,npar);
     free_matrix(doldm,1,nlstate,1,npar);
     free_matrix(dnewm,1,nlstate,1,nlstate);
   
   }
   
   /************ Variance of one-step probabilities  ******************/
   void varprob(char optionfilefiname[], double **matcov, double x[], double delti[], int nlstate, double bage, double fage, int ij, int *Tvar, int **nbcode, int *ncodemax, char strstart[])
   {
     int i, j=0,  i1, k1, l1, t, tj;
     int k2, l2, j1,  z1;
     int k=0,l, cptcode;
     int first=1, first1;
     double cv12, mu1, mu2, lc1, lc2, v12, v21, v11, v22,v1,v2, c12, tnalp;
     double **dnewm,**doldm;
     double *xp;
     double *gp, *gm;
     double **gradg, **trgradg;
     double **mu;
     double age,agelim, cov[NCOVMAX];
     double std=2.0; /* Number of standard deviation wide of confidence ellipsoids */
     int theta;
     char fileresprob[FILENAMELENGTH];
     char fileresprobcov[FILENAMELENGTH];
     char fileresprobcor[FILENAMELENGTH];
   
     double ***varpij;
   
     strcpy(fileresprob,"prob"); 
     strcat(fileresprob,fileres);
     if((ficresprob=fopen(fileresprob,"w"))==NULL) {
       printf("Problem with resultfile: %s\n", fileresprob);
       fprintf(ficlog,"Problem with resultfile: %s\n", fileresprob);
     }
     strcpy(fileresprobcov,"probcov"); 
     strcat(fileresprobcov,fileres);
     if((ficresprobcov=fopen(fileresprobcov,"w"))==NULL) {
       printf("Problem with resultfile: %s\n", fileresprobcov);
       fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcov);
     }
     strcpy(fileresprobcor,"probcor"); 
     strcat(fileresprobcor,fileres);
     if((ficresprobcor=fopen(fileresprobcor,"w"))==NULL) {
       printf("Problem with resultfile: %s\n", fileresprobcor);
       fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcor);
     }
     printf("Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);
     fprintf(ficlog,"Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);
     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);
     printf("and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);
     fprintf(ficlog,"and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);
     fprintf(ficresprob, "#Local time at start: %s", strstart);
     fprintf(ficresprob,"#One-step probabilities and stand. devi in ()\n");
     fprintf(ficresprob,"# Age");
     fprintf(ficresprobcov, "#Local time at start: %s", strstart);
     fprintf(ficresprobcov,"#One-step probabilities and covariance matrix\n");
     fprintf(ficresprobcov,"# Age");
     fprintf(ficresprobcor, "#Local time at start: %s", strstart);
     fprintf(ficresprobcor,"#One-step probabilities and correlation matrix\n");
     fprintf(ficresprobcov,"# Age");
   
   
     for(i=1; i<=nlstate;i++)
       for(j=1; j<=(nlstate+ndeath);j++){
         fprintf(ficresprob," p%1d-%1d (SE)",i,j);
         fprintf(ficresprobcov," p%1d-%1d ",i,j);
         fprintf(ficresprobcor," p%1d-%1d ",i,j);
       }  
    /* fprintf(ficresprob,"\n");
     fprintf(ficresprobcov,"\n");
     fprintf(ficresprobcor,"\n");
    */
    xp=vector(1,npar);
     dnewm=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);
     doldm=matrix(1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath));
     mu=matrix(1,(nlstate)*(nlstate+ndeath), (int) bage, (int)fage);
     varpij=ma3x(1,nlstate*(nlstate+ndeath),1,nlstate*(nlstate+ndeath),(int) bage, (int) fage);
     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");
     fprintf(fichtm,"\n");
   
     fprintf(fichtm,"\n<li><h4> <a href=\"%s\">Matrix of variance-covariance of pairs of step probabilities (drawings)</a></h4></li>\n",optionfilehtmcov);
     fprintf(fichtmcov,"\n<h4>Matrix of variance-covariance of pairs of step probabilities</h4>\n\
     file %s<br>\n",optionfilehtmcov);
     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.\
    They are expressed in year<sup>-1</sup> in order to be less dependent of stepm.<br>\n");
     fprintf(fichtmcov,"\n<br> Contour plot corresponding to x'cov<sup>-1</sup>x = 4 (where x is the column vector (pij,pkl)) are drawn. \
   It can be understood this way: if pij and pkl where uncorrelated the (2x2) matrix of covariance \
   would have been (1/(var pij), 0 , 0, 1/(var pkl)), and the confidence interval would be 2 \
   standard deviations wide on each axis. <br>\
    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>\
   To be simple, these graphs help to understand the significativity of each parameter in relation to a second other one.<br> \n");
   
     cov[1]=1;
     tj=cptcoveff;
     if (cptcovn<1) {tj=1;ncodemax[1]=1;}
     j1=0;
     for(t=1; t<=tj;t++){
       for(i1=1; i1<=ncodemax[t];i1++){ 
         j1++;
         if  (cptcovn>0) {
           fprintf(ficresprob, "\n#********** Variable "); 
           for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprob, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
           fprintf(ficresprob, "**********\n#\n");
           fprintf(ficresprobcov, "\n#********** Variable "); 
           for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcov, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
           fprintf(ficresprobcov, "**********\n#\n");
           
           fprintf(ficgp, "\n#********** Variable "); 
           for (z1=1; z1<=cptcoveff; z1++) fprintf(ficgp, " V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
           fprintf(ficgp, "**********\n#\n");
           
           
           fprintf(fichtmcov, "\n<hr  size=\"2\" color=\"#EC5E5E\">********** Variable "); 
           for (z1=1; z1<=cptcoveff; z1++) fprintf(fichtm, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
           fprintf(fichtmcov, "**********\n<hr size=\"2\" color=\"#EC5E5E\">");
           
           fprintf(ficresprobcor, "\n#********** Variable ");    
           for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcor, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
           fprintf(ficresprobcor, "**********\n#");    
         }
         
         for (age=bage; age<=fage; age ++){ 
           cov[2]=age;
           for (k=1; k<=cptcovn;k++) {
             cov[2+k]=nbcode[Tvar[k]][codtab[j1][Tvar[k]]];
           }
           for (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]]];
           
           gradg=matrix(1,npar,1,(nlstate)*(nlstate+ndeath));
           trgradg=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);
           gp=vector(1,(nlstate)*(nlstate+ndeath));
           gm=vector(1,(nlstate)*(nlstate+ndeath));
       
           for(theta=1; theta <=npar; theta++){
             for(i=1; i<=npar; i++)
               xp[i] = x[i] + (i==theta ?delti[theta]:(double)0);
             
             pmij(pmmij,cov,ncovmodel,xp,nlstate);
             
             k=0;
             for(i=1; i<= (nlstate); i++){
               for(j=1; j<=(nlstate+ndeath);j++){
                 k=k+1;
                 gp[k]=pmmij[i][j];
               }
             }
             
             for(i=1; i<=npar; i++)
               xp[i] = x[i] - (i==theta ?delti[theta]:(double)0);
       
             pmij(pmmij,cov,ncovmodel,xp,nlstate);
             k=0;
             for(i=1; i<=(nlstate); i++){
               for(j=1; j<=(nlstate+ndeath);j++){
                 k=k+1;
                 gm[k]=pmmij[i][j];
               }
             }
        
             for(i=1; i<= (nlstate)*(nlstate+ndeath); i++) 
               gradg[theta][i]=(gp[i]-gm[i])/(double)2./delti[theta];  
           }
   
           for(j=1; j<=(nlstate)*(nlstate+ndeath);j++)
             for(theta=1; theta <=npar; theta++)
               trgradg[j][theta]=gradg[theta][j];
           
           matprod2(dnewm,trgradg,1,(nlstate)*(nlstate+ndeath),1,npar,1,npar,matcov); 
           matprod2(doldm,dnewm,1,(nlstate)*(nlstate+ndeath),1,npar,1,(nlstate)*(nlstate+ndeath),gradg);
           free_vector(gp,1,(nlstate+ndeath)*(nlstate+ndeath));
           free_vector(gm,1,(nlstate+ndeath)*(nlstate+ndeath));
           free_matrix(trgradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);
           free_matrix(gradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);
   
           pmij(pmmij,cov,ncovmodel,x,nlstate);
           
           k=0;
           for(i=1; i<=(nlstate); i++){
             for(j=1; j<=(nlstate+ndeath);j++){
               k=k+1;
               mu[k][(int) age]=pmmij[i][j];
             }
           }
           for(i=1;i<=(nlstate)*(nlstate+ndeath);i++)
             for(j=1;j<=(nlstate)*(nlstate+ndeath);j++)
               varpij[i][j][(int)age] = doldm[i][j];
   
           /*printf("\n%d ",(int)age);
             for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){
             printf("%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));
             fprintf(ficlog,"%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));
             }*/
   
           fprintf(ficresprob,"\n%d ",(int)age);
           fprintf(ficresprobcov,"\n%d ",(int)age);
           fprintf(ficresprobcor,"\n%d ",(int)age);
   
           for (i=1; i<=(nlstate)*(nlstate+ndeath);i++)
             fprintf(ficresprob,"%11.3e (%11.3e) ",mu[i][(int) age],sqrt(varpij[i][i][(int)age]));
           for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){
             fprintf(ficresprobcov,"%11.3e ",mu[i][(int) age]);
             fprintf(ficresprobcor,"%11.3e ",mu[i][(int) age]);
           }
           i=0;
           for (k=1; k<=(nlstate);k++){
             for (l=1; l<=(nlstate+ndeath);l++){ 
               i=i++;
               fprintf(ficresprobcov,"\n%d %d-%d",(int)age,k,l);
               fprintf(ficresprobcor,"\n%d %d-%d",(int)age,k,l);
               for (j=1; j<=i;j++){
                 fprintf(ficresprobcov," %11.3e",varpij[i][j][(int)age]);
                 fprintf(ficresprobcor," %11.3e",varpij[i][j][(int) age]/sqrt(varpij[i][i][(int) age])/sqrt(varpij[j][j][(int)age]));
               }
             }
           }/* end of loop for state */
         } /* end of loop for age */
   
         /* Confidence intervalle of pij  */
         /*
           fprintf(ficgp,"\nset noparametric;unset label");
           fprintf(ficgp,"\nset log y;unset log x; set xlabel \"Age\";set ylabel \"probability (year-1)\"");
           fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65");
           fprintf(fichtm,"\n<br>Probability with  confidence intervals expressed in year<sup>-1</sup> :<a href=\"pijgr%s.png\">pijgr%s.png</A>, ",optionfilefiname,optionfilefiname);
           fprintf(fichtm,"\n<br><img src=\"pijgr%s.png\"> ",optionfilefiname);
           fprintf(ficgp,"\nset out \"pijgr%s.png\"",optionfilefiname);
           fprintf(ficgp,"\nplot \"%s\" every :::%d::%d u 1:2 \"\%%lf",k1,k2,xfilevarprob);
         */
   
         /* Drawing ellipsoids of confidence of two variables p(k1-l1,k2-l2)*/
         first1=1;
         for (k2=1; k2<=(nlstate);k2++){
           for (l2=1; l2<=(nlstate+ndeath);l2++){ 
             if(l2==k2) continue;
             j=(k2-1)*(nlstate+ndeath)+l2;
             for (k1=1; k1<=(nlstate);k1++){
               for (l1=1; l1<=(nlstate+ndeath);l1++){ 
                 if(l1==k1) continue;
                 i=(k1-1)*(nlstate+ndeath)+l1;
                 if(i<=j) continue;
                 for (age=bage; age<=fage; age ++){ 
                   if ((int)age %5==0){
                     v1=varpij[i][i][(int)age]/stepm*YEARM/stepm*YEARM;
                     v2=varpij[j][j][(int)age]/stepm*YEARM/stepm*YEARM;
                     cv12=varpij[i][j][(int)age]/stepm*YEARM/stepm*YEARM;
                     mu1=mu[i][(int) age]/stepm*YEARM ;
                     mu2=mu[j][(int) age]/stepm*YEARM;
                     c12=cv12/sqrt(v1*v2);
                     /* Computing eigen value of matrix of covariance */
                     lc1=((v1+v2)+sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                     lc2=((v1+v2)-sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                     /* Eigen vectors */
                     v11=(1./sqrt(1+(v1-lc1)*(v1-lc1)/cv12/cv12));
                     /*v21=sqrt(1.-v11*v11); *//* error */
                     v21=(lc1-v1)/cv12*v11;
                     v12=-v21;
                     v22=v11;
                     tnalp=v21/v11;
                     if(first1==1){
                       first1=0;
                       printf("%d %d%d-%d%d mu %.4e %.4e Var %.4e %.4e cor %.3f cov %.4e Eig %.3e %.3e 1stv %.3f %.3f tang %.3f\nOthers in log...\n",(int) age,k1,l1,k2,l2,mu1,mu2,v1,v2,c12,cv12,lc1,lc2,v11,v21,tnalp);
                     }
                     fprintf(ficlog,"%d %d%d-%d%d mu %.4e %.4e Var %.4e %.4e cor %.3f cov %.4e Eig %.3e %.3e 1stv %.3f %.3f tan %.3f\n",(int) age,k1,l1,k2,l2,mu1,mu2,v1,v2,c12,cv12,lc1,lc2,v11,v21,tnalp);
                     /*printf(fignu*/
                     /* mu1+ v11*lc1*cost + v12*lc2*sin(t) */
                     /* mu2+ v21*lc1*cost + v22*lc2*sin(t) */
                     if(first==1){
                       first=0;
                       fprintf(ficgp,"\nset parametric;unset label");
                       fprintf(ficgp,"\nset log y;set log x; set xlabel \"p%1d%1d (year-1)\";set ylabel \"p%1d%1d (year-1)\"",k1,l1,k2,l2);
                       fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65");
                       fprintf(fichtmcov,"\n<br>Ellipsoids of confidence cov(p%1d%1d,p%1d%1d) expressed in year<sup>-1</sup>\
    :<a href=\"%s%d%1d%1d-%1d%1d.png\">\
   %s%d%1d%1d-%1d%1d.png</A>, ",k1,l1,k2,l2,\
                               subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2,\
                               subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2);
                       fprintf(fichtmcov,"\n<br><img src=\"%s%d%1d%1d-%1d%1d.png\"> ",subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2);
                       fprintf(fichtmcov,"\n<br> Correlation at age %d (%.3f),",(int) age, c12);
                       fprintf(ficgp,"\nset out \"%s%d%1d%1d-%1d%1d.png\"",subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2);
                       fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);
                       fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);
                       fprintf(ficgp,"\nplot [-pi:pi] %11.3e+ %.3f*(%11.3e*%11.3e*cos(t)+%11.3e*%11.3e*sin(t)), %11.3e +%.3f*(%11.3e*%11.3e*cos(t)+%11.3e*%11.3e*sin(t)) not",\
                               mu1,std,v11,sqrt(lc1),v12,sqrt(lc2),\
                               mu2,std,v21,sqrt(lc1),v22,sqrt(lc2));
                     }else{
                       first=0;
                       fprintf(fichtmcov," %d (%.3f),",(int) age, c12);
                       fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);
                       fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);
                       fprintf(ficgp,"\nreplot %11.3e+ %.3f*(%11.3e*%11.3e*cos(t)+%11.3e*%11.3e*sin(t)), %11.3e +%.3f*(%11.3e*%11.3e*cos(t)+%11.3e*%11.3e*sin(t)) not",\
                               mu1,std,v11,sqrt(lc1),v12,sqrt(lc2),\
                               mu2,std,v21,sqrt(lc1),v22,sqrt(lc2));
                     }/* if first */
                   } /* age mod 5 */
                 } /* end loop age */
                 fprintf(ficgp,"\nset out \"%s%d%1d%1d-%1d%1d.png\";replot;",subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2);
                 first=1;
               } /*l12 */
             } /* k12 */
           } /*l1 */
         }/* k1 */
       } /* loop covariates */
     }
     free_ma3x(varpij,1,nlstate,1,nlstate+ndeath,(int) bage, (int)fage);
     free_matrix(mu,1,(nlstate+ndeath)*(nlstate+ndeath),(int) bage, (int)fage);
     free_vector(xp,1,npar);
     fclose(ficresprob);
     fclose(ficresprobcov);
     fclose(ficresprobcor);
     fflush(ficgp);
     fflush(fichtmcov);
   }
   
   
   /******************* Printing html file ***********/
   void printinghtml(char fileres[], char title[], char datafile[], int firstpass, \
                     int lastpass, int stepm, int weightopt, char model[],\
                     int imx,int jmin, int jmax, double jmeanint,char rfileres[],\
                     int popforecast, int estepm ,\
                     double jprev1, double mprev1,double anprev1, \
                     double jprev2, double mprev2,double anprev2){
     int jj1, k1, i1, cpt;
   
      fprintf(fichtm,"<ul><li><a href='#firstorder'>Result files (first order: no variance)</a>\n \
      <li><a href='#secondorder'>Result files (second order (variance)</a>\n \
   </ul>");
      fprintf(fichtm,"<ul><li><h4><a name='firstorder'>Result files (first order: no variance)</a></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 ",
              jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,subdirf2(fileres,"p"),subdirf2(fileres,"p"));
      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",
              subdirf2(fileres,"pl"),subdirf2(fileres,"pl"));
      fprintf(fichtm,"\
    - Life expectancies by age and initial health status (estepm=%2d months): \
      <a href=\"%s\">%s</a> <br>\n</li>",
              estepm,subdirf2(fileres,"e"),subdirf2(fileres,"e"));
   
   fprintf(fichtm," \n<ul><li><b>Graphs</b></li><p>");
   
    m=cptcoveff;
    if (cptcovn < 1) {m=1;ncodemax[1]=1;}
   
    jj1=0;
    for(k1=1; k1<=m;k1++){
      for(i1=1; i1<=ncodemax[k1];i1++){
        jj1++;
        if (cptcovn > 0) {
          fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");
          for (cpt=1; cpt<=cptcoveff;cpt++) 
            fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtab[jj1][cpt]]);
          fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");
        }
        /* Pij */
        fprintf(fichtm,"<br>- Pij or Conditional probabilities to be observed in state j being in state i, %d (stepm) months before: %s%d1.png<br> \
   <img src=\"%s%d1.png\">",stepm,subdirf2(optionfilefiname,"pe"),jj1,subdirf2(optionfilefiname,"pe"),jj1);     
        /* Quasi-incidences */
        fprintf(fichtm,"<br>- Pij or Conditional probabilities to be observed in state j being in state i %d (stepm) months\
    before but expressed in per year i.e. quasi incidences if stepm is small and probabilities too: %s%d2.png<br> \
   <img src=\"%s%d2.png\">",stepm,subdirf2(optionfilefiname,"pe"),jj1,subdirf2(optionfilefiname,"pe"),jj1); 
          /* Stable prevalence in each health state */
          for(cpt=1; cpt<nlstate;cpt++){
            fprintf(fichtm,"<br>- Stable prevalence in each health state : p%s%d%d.png<br> \
   <img src=\"%s%d%d.png\">",subdirf2(optionfilefiname,"p"),cpt,jj1,subdirf2(optionfilefiname,"p"),cpt,jj1);
          }
        for(cpt=1; cpt<=nlstate;cpt++) {
           fprintf(fichtm,"\n<br>- Health life expectancies by age and initial health state (%d): %s%d%d.png <br> \
   <img src=\"%s%d%d.png\">",cpt,subdirf2(optionfilefiname,"exp"),cpt,jj1,subdirf2(optionfilefiname,"exp"),cpt,jj1);
        }
      } /* end i1 */
    }/* End k1 */
    fprintf(fichtm,"</ul>");
   
   
    fprintf(fichtm,"\
   \n<br><li><h4> <a name='secondorder'>Result files (second order: variances)</a></h4>\n\
    - Parameter file with estimated parameters and covariance matrix: <a href=\"%s\">%s</a> <br>\n", rfileres,rfileres);
   
    fprintf(fichtm," - Variance of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
            subdirf2(fileres,"prob"),subdirf2(fileres,"prob"));
    fprintf(fichtm,"\
    - Variance-covariance of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
            subdirf2(fileres,"probcov"),subdirf2(fileres,"probcov"));
   
    fprintf(fichtm,"\
    - Correlation matrix of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
            subdirf2(fileres,"probcor"),subdirf2(fileres,"probcor"));
    fprintf(fichtm,"\
    - 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,"\
    - Health expectancies with their variances (no covariance): <a href=\"%s\">%s</a> <br>\n",
            subdirf2(fileres,"t"),subdirf2(fileres,"t"));
    fprintf(fichtm,"\
    - Standard deviation of stable prevalences: <a href=\"%s\">%s</a> <br>\n",\
            subdirf2(fileres,"vpl"),subdirf2(fileres,"vpl"));
   
   /*  if(popforecast==1) fprintf(fichtm,"\n */
   /*  - Prevalences forecasting: <a href=\"f%s\">f%s</a> <br>\n */
   /*  - Population forecasting (if popforecast=1): <a href=\"pop%s\">pop%s</a> <br>\n */
   /*      <br>",fileres,fileres,fileres,fileres); */
   /*  else  */
   /*    fprintf(fichtm,"\n No population forecast: popforecast = %d (instead of 1) or stepm = %d (instead of 1) or model=%s (instead of .)<br><br></li>\n",popforecast, stepm, model); */
    fflush(fichtm);
    fprintf(fichtm," <ul><li><b>Graphs</b></li><p>");
   
    m=cptcoveff;
    if (cptcovn < 1) {m=1;ncodemax[1]=1;}
   
    jj1=0;
    for(k1=1; k1<=m;k1++){
      for(i1=1; i1<=ncodemax[k1];i1++){
        jj1++;
        if (cptcovn > 0) {
          fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");
          for (cpt=1; cpt<=cptcoveff;cpt++) 
            fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtab[jj1][cpt]]);
          fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");
        }
        for(cpt=1; cpt<=nlstate;cpt++) {
          fprintf(fichtm,"<br>- Observed (cross-sectional) and period (incidence based) \
   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);  
        }
        fprintf(fichtm,"\n<br>- Total life expectancy by age and \
   health expectancies in states (1) and (2): %s%d.png<br>\
   <img src=\"%s%d.png\">",subdirf2(optionfilefiname,"e"),jj1,subdirf2(optionfilefiname,"e"),jj1);
      } /* end i1 */
    }/* End k1 */
    fprintf(fichtm,"</ul>");
    fflush(fichtm);
   }
   
   /******************* Gnuplot file **************/
   void printinggnuplot(char fileres[], char optionfilefiname[], double ageminpar, double agemaxpar, double fage , char pathc[], double p[]){
   
     char dirfileres[132],optfileres[132];
     int m,cpt,k1,i,k,j,jk,k2,k3,ij,l;
     int ng;
   /*   if((ficgp=fopen(optionfilegnuplot,"a"))==NULL) { */
   /*     printf("Problem with file %s",optionfilegnuplot); */
   /*     fprintf(ficlog,"Problem with file %s",optionfilegnuplot); */
   /*   } */
   
     /*#ifdef windows */
     fprintf(ficgp,"cd \"%s\" \n",pathc);
       /*#endif */
     m=pow(2,cptcoveff);
   
     strcpy(dirfileres,optionfilefiname);
     strcpy(optfileres,"vpl");
    /* 1eme*/
     for (cpt=1; cpt<= nlstate ; cpt ++) {
      for (k1=1; k1<= m ; k1 ++) {
        fprintf(ficgp,"\nset out \"%s%d%d.png\" \n",subdirf2(optionfilefiname,"v"),cpt,k1);
        fprintf(ficgp,"\n#set out \"v%s%d%d.png\" \n",optionfilefiname,cpt,k1);
        fprintf(ficgp,"set xlabel \"Age\" \n\
   set ylabel \"Probability\" \n\
   set ter png small\n\
   set size 0.65,0.65\n\
   plot [%.f:%.f] \"%s\" every :::%d::%d u 1:2 \"\%%lf",ageminpar,fage,subdirf2(fileres,"vpl"),k1-1,k1-1);
   
        for (i=1; i<= nlstate ; i ++) {
          if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");
          else fprintf(ficgp," \%%*lf (\%%*lf)");
        }
        fprintf(ficgp,"\" t\"Stable prevalence\" w l 0,\"%s\" every :::%d::%d u 1:($2+1.96*$3) \"\%%lf",subdirf2(fileres,"vpl"),k1-1,k1-1);
        for (i=1; i<= nlstate ; i ++) {
          if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");
          else fprintf(ficgp," \%%*lf (\%%*lf)");
        } 
        fprintf(ficgp,"\" t\"95\%% CI\" w l 1,\"%s\" every :::%d::%d u 1:($2-1.96*$3) \"\%%lf",subdirf2(fileres,"vpl"),k1-1,k1-1); 
        for (i=1; i<= nlstate ; i ++) {
          if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");
          else fprintf(ficgp," \%%*lf (\%%*lf)");
        }  
        fprintf(ficgp,"\" t\"\" w l 1,\"%s\" every :::%d::%d u 1:($%d) t\"Observed prevalence \" w l 2",subdirf2(fileres,"p"),k1-1,k1-1,2+4*(cpt-1));
      }
     }
     /*2 eme*/
     
     for (k1=1; k1<= m ; k1 ++) { 
       fprintf(ficgp,"\nset out \"%s%d.png\" \n",subdirf2(optionfilefiname,"e"),k1);
       fprintf(ficgp,"set ylabel \"Years\" \nset ter png small\nset size 0.65,0.65\nplot [%.f:%.f] ",ageminpar,fage);
       
       for (i=1; i<= nlstate+1 ; i ++) {
         k=2*i;
         fprintf(ficgp,"\"%s\" every :::%d::%d u 1:2 \"\%%lf",subdirf2(fileres,"t"),k1-1,k1-1);
         for (j=1; j<= nlstate+1 ; j ++) {
           if (j==i) fprintf(ficgp," \%%lf (\%%lf)");
           else fprintf(ficgp," \%%*lf (\%%*lf)");
         }   
         if (i== 1) fprintf(ficgp,"\" t\"TLE\" w l ,");
         else fprintf(ficgp,"\" t\"LE in state (%d)\" w l ,",i-1);
         fprintf(ficgp,"\"%s\" every :::%d::%d u 1:($2-$3*2) \"\%%lf",subdirf2(fileres,"t"),k1-1,k1-1);
         for (j=1; j<= nlstate+1 ; j ++) {
           if (j==i) fprintf(ficgp," \%%lf (\%%lf)");
           else fprintf(ficgp," \%%*lf (\%%*lf)");
         }   
         fprintf(ficgp,"\" t\"\" w l 0,");
         fprintf(ficgp,"\"%s\" every :::%d::%d u 1:($2+$3*2) \"\%%lf",subdirf2(fileres,"t"),k1-1,k1-1);
         for (j=1; j<= nlstate+1 ; j ++) {
           if (j==i) fprintf(ficgp," \%%lf (\%%lf)");
           else fprintf(ficgp," \%%*lf (\%%*lf)");
         }   
         if (i== (nlstate+1)) fprintf(ficgp,"\" t\"\" w l 0");
         else fprintf(ficgp,"\" t\"\" w l 0,");
       }
     }
     
     /*3eme*/
     
     for (k1=1; k1<= m ; k1 ++) { 
       for (cpt=1; cpt<= nlstate ; cpt ++) {
         k=2+nlstate*(2*cpt-2);
         fprintf(ficgp,"\nset out \"%s%d%d.png\" \n",subdirf2(optionfilefiname,"exp"),cpt,k1);
         fprintf(ficgp,"set ter png small\n\
   set size 0.65,0.65\n\
   plot [%.f:%.f] \"%s\" every :::%d::%d u 1:%d t \"e%d1\" w l",ageminpar,fage,subdirf2(fileres,"e"),k1-1,k1-1,k,cpt);
         /*fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d-2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);
           for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");
           fprintf(ficgp,"\" t \"e%d1\" w l",cpt);
           fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d+2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);
           for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");
           fprintf(ficgp,"\" t \"e%d1\" w l",cpt);
           
         */
         for (i=1; i< nlstate ; i ++) {
           fprintf(ficgp," ,\"%s\" every :::%d::%d u 1:%d t \"e%d%d\" w l",subdirf2(fileres,"e"),k1-1,k1-1,k+2*i,cpt,i+1);
           
         } 
       }
     }
     
     /* CV preval stable (period) */
     for (k1=1; k1<= m ; k1 ++) { 
       for (cpt=1; cpt<=nlstate ; cpt ++) {
         k=3;
         fprintf(ficgp,"\nset out \"%s%d%d.png\" \n",subdirf2(optionfilefiname,"p"),cpt,k1);
         fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \n\
   set ter png small\nset size 0.65,0.65\n\
   unset log y\n\
   plot [%.f:%.f] \"%s\" u ($1==%d ? ($3):1/0):($%d/($%d",ageminpar,agemaxpar,subdirf2(fileres,"pij"),k1,k+cpt+1,k+1);
         
         for (i=1; i< nlstate ; i ++)
           fprintf(ficgp,"+$%d",k+i+1);
         fprintf(ficgp,")) t\"prev(%d,%d)\" w l",cpt,cpt+1);
         
         l=3+(nlstate+ndeath)*cpt;
         fprintf(ficgp,",\"%s\" u ($1==%d ? ($3):1/0):($%d/($%d",subdirf2(fileres,"pij"),k1,l+cpt+1,l+1);
         for (i=1; i< nlstate ; i ++) {
           l=3+(nlstate+ndeath)*cpt;
           fprintf(ficgp,"+$%d",l+i+1);
         }
         fprintf(ficgp,")) t\"prev(%d,%d)\" w l\n",cpt+1,cpt+1);   
       } 
     }  
     
     /* proba elementaires */
     for(i=1,jk=1; i <=nlstate; i++){
       for(k=1; k <=(nlstate+ndeath); k++){
         if (k != i) {
           for(j=1; j <=ncovmodel; j++){
             fprintf(ficgp,"p%d=%f ",jk,p[jk]);
             jk++; 
             fprintf(ficgp,"\n");
           }
         }
       }
      }
   
      for(ng=1; ng<=2;ng++){ /* Number of graphics: first is probabilities second is incidence per year*/
        for(jk=1; jk <=m; jk++) {
          fprintf(ficgp,"\nset out \"%s%d%d.png\" \n",subdirf2(optionfilefiname,"pe"),jk,ng); 
          if (ng==2)
            fprintf(ficgp,"\nset ylabel \"Quasi-incidence per year\"\n");
          else
            fprintf(ficgp,"\nset title \"Probability\"\n");
          fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65\nset log y\nplot  [%.f:%.f] ",ageminpar,agemaxpar);
          i=1;
          for(k2=1; k2<=nlstate; k2++) {
            k3=i;
            for(k=1; k<=(nlstate+ndeath); k++) {
              if (k != k2){
                if(ng==2)
                  fprintf(ficgp," %f*exp(p%d+p%d*x",YEARM/stepm,i,i+1);
                else
                  fprintf(ficgp," exp(p%d+p%d*x",i,i+1);
                ij=1;
                for(j=3; j <=ncovmodel; j++) {
                  if(((j-2)==Tage[ij]) &&(ij <=cptcovage)) {
                    fprintf(ficgp,"+p%d*%d*x",i+j-1,nbcode[Tvar[j-2]][codtab[jk][Tvar[j-2]]]);
                    ij++;
                  }
                  else
                    fprintf(ficgp,"+p%d*%d",i+j-1,nbcode[Tvar[j-2]][codtab[jk][j-2]]);
                }
                fprintf(ficgp,")/(1");
                
                for(k1=1; k1 <=nlstate; k1++){   
                  fprintf(ficgp,"+exp(p%d+p%d*x",k3+(k1-1)*ncovmodel,k3+(k1-1)*ncovmodel+1);
                  ij=1;
                  for(j=3; j <=ncovmodel; j++){
                    if(((j-2)==Tage[ij]) &&(ij <=cptcovage)) {
                      fprintf(ficgp,"+p%d*%d*x",k3+(k1-1)*ncovmodel+1+j-2,nbcode[Tvar[j-2]][codtab[jk][Tvar[j-2]]]);
                      ij++;
                    }
                    else
                      fprintf(ficgp,"+p%d*%d",k3+(k1-1)*ncovmodel+1+j-2,nbcode[Tvar[j-2]][codtab[jk][j-2]]);
                  }
                  fprintf(ficgp,")");
                }
                fprintf(ficgp,") t \"p%d%d\" ", k2,k);
                if ((k+k2)!= (nlstate*2+ndeath)) fprintf(ficgp,",");
                i=i+ncovmodel;
              }
            } /* end k */
          } /* end k2 */
        } /* end jk */
      } /* end ng */
      fflush(ficgp); 
   }  /* end gnuplot */
   
   
   /*************** Moving average **************/
   int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav){
   
     int i, cpt, cptcod;
     int modcovmax =1;
     int mobilavrange, mob;
     double age;
   
     modcovmax=2*cptcoveff;/* Max number of modalities. We suppose 
                              a covariate has 2 modalities */
     if (cptcovn<1) modcovmax=1; /* At least 1 pass */
   
     if(mobilav==1||mobilav ==3 ||mobilav==5 ||mobilav== 7){
       if(mobilav==1) mobilavrange=5; /* default */
       else mobilavrange=mobilav;
       for (age=bage; age<=fage; age++)
         for (i=1; i<=nlstate;i++)
           for (cptcod=1;cptcod<=modcovmax;cptcod++)
             mobaverage[(int)age][i][cptcod]=probs[(int)age][i][cptcod];
       /* We keep the original values on the extreme ages bage, fage and for 
          fage+1 and bage-1 we use a 3 terms moving average; for fage+2 bage+2
          we use a 5 terms etc. until the borders are no more concerned. 
       */ 
       for (mob=3;mob <=mobilavrange;mob=mob+2){
         for (age=bage+(mob-1)/2; age<=fage-(mob-1)/2; age++){
           for (i=1; i<=nlstate;i++){
             for (cptcod=1;cptcod<=modcovmax;cptcod++){
               mobaverage[(int)age][i][cptcod] =probs[(int)age][i][cptcod];
                 for (cpt=1;cpt<=(mob-1)/2;cpt++){
                   mobaverage[(int)age][i][cptcod] +=probs[(int)age-cpt][i][cptcod];
                   mobaverage[(int)age][i][cptcod] +=probs[(int)age+cpt][i][cptcod];
                 }
               mobaverage[(int)age][i][cptcod]=mobaverage[(int)age][i][cptcod]/mob;
             }
           }
         }/* end age */
       }/* end mob */
     }else return -1;
     return 0;
   }/* End movingaverage */
   
   
   /************** Forecasting ******************/
   prevforecast(char fileres[], double anproj1, double mproj1, double jproj1, double ageminpar, double agemax, double dateprev1, double dateprev2, int mobilav, double bage, double fage, int firstpass, int lastpass, double anproj2, double p[], int cptcoveff){
     /* proj1, year, month, day of starting projection 
        agemin, agemax range of age
        dateprev1 dateprev2 range of dates during which prevalence is computed
        anproj2 year of en of projection (same day and month as proj1).
     */
     int yearp, stepsize, hstepm, nhstepm, j, k, c, cptcod, i, h, i1;
     int *popage;
     double agec; /* generic age */
     double agelim, ppij, yp,yp1,yp2,jprojmean,mprojmean,anprojmean;
     double *popeffectif,*popcount;
     double ***p3mat;
     double ***mobaverage;
     char fileresf[FILENAMELENGTH];
   
     agelim=AGESUP;
     prevalence(probs, ageminpar, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass);
    
     strcpy(fileresf,"f"); 
     strcat(fileresf,fileres);
     if((ficresf=fopen(fileresf,"w"))==NULL) {
       printf("Problem with forecast resultfile: %s\n", fileresf);
       fprintf(ficlog,"Problem with forecast resultfile: %s\n", fileresf);
     }
     printf("Computing forecasting: result on file '%s' \n", fileresf);
     fprintf(ficlog,"Computing forecasting: result on file '%s' \n", fileresf);
   
     if (cptcoveff==0) ncodemax[cptcoveff]=1;
   
     if (mobilav!=0) {
       mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
       if (movingaverage(probs, ageminpar, fage, mobaverage,mobilav)!=0){
         fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
         printf(" Error in movingaverage mobilav=%d\n",mobilav);
       }
     }
   
     stepsize=(int) (stepm+YEARM-1)/YEARM;
     if (stepm<=12) stepsize=1;
     if(estepm < stepm){
       printf ("Problem %d lower than %d\n",estepm, stepm);
     }
     else  hstepm=estepm;   
   
     hstepm=hstepm/stepm; 
     yp1=modf(dateintmean,&yp);/* extracts integral of datemean in yp  and
                                  fractional in yp1 */
     anprojmean=yp;
     yp2=modf((yp1*12),&yp);
     mprojmean=yp;
     yp1=modf((yp2*30.5),&yp);
     jprojmean=yp;
     if(jprojmean==0) jprojmean=1;
     if(mprojmean==0) jprojmean=1;
   
     i1=cptcoveff;
     if (cptcovn < 1){i1=1;}
     
     fprintf(ficresf,"# Mean day of interviews %.lf/%.lf/%.lf (%.2f) between %.2f and %.2f \n",jprojmean,mprojmean,anprojmean,dateintmean,dateprev1,dateprev2); 
     
     fprintf(ficresf,"#****** Routine prevforecast **\n");
   
   /*            if (h==(int)(YEARM*yearp)){ */
     for(cptcov=1, k=0;cptcov<=i1;cptcov++){
       for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){
         k=k+1;
         fprintf(ficresf,"\n#******");
         for(j=1;j<=cptcoveff;j++) {
           fprintf(ficresf," V%d=%d, hpijx=probability over h years, hp.jx is weighted by observed prev ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
         }
         fprintf(ficresf,"******\n");
         fprintf(ficresf,"# Covariate valuofcovar yearproj age");
         for(j=1; j<=nlstate+ndeath;j++){ 
           for(i=1; i<=nlstate;i++)              
             fprintf(ficresf," p%d%d",i,j);
           fprintf(ficresf," p.%d",j);
         }
         for (yearp=0; yearp<=(anproj2-anproj1);yearp +=stepsize) { 
           fprintf(ficresf,"\n");
           fprintf(ficresf,"\n# Forecasting at date %.lf/%.lf/%.lf ",jproj1,mproj1,anproj1+yearp);   
   
           for (agec=fage; agec>=(ageminpar-1); agec--){ 
             nhstepm=(int) rint((agelim-agec)*YEARM/stepm); 
             nhstepm = nhstepm/hstepm; 
             p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
             oldm=oldms;savm=savms;
             hpxij(p3mat,nhstepm,agec,hstepm,p,nlstate,stepm,oldm,savm, k);  
           
             for (h=0; h<=nhstepm; h++){
               if (h*hstepm/YEARM*stepm ==yearp) {
                 fprintf(ficresf,"\n");
                 for(j=1;j<=cptcoveff;j++) 
                   fprintf(ficresf,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
                 fprintf(ficresf,"%.f %.f ",anproj1+yearp,agec+h*hstepm/YEARM*stepm);
               } 
               for(j=1; j<=nlstate+ndeath;j++) {
                 ppij=0.;
                 for(i=1; i<=nlstate;i++) {
                   if (mobilav==1) 
                     ppij=ppij+p3mat[i][j][h]*mobaverage[(int)agec][i][cptcod];
                   else {
                     ppij=ppij+p3mat[i][j][h]*probs[(int)(agec)][i][cptcod];
                   }
                   if (h*hstepm/YEARM*stepm== yearp) {
                     fprintf(ficresf," %.3f", p3mat[i][j][h]);
                   }
                 } /* end i */
                 if (h*hstepm/YEARM*stepm==yearp) {
                   fprintf(ficresf," %.3f", ppij);
                 }
               }/* end j */
             } /* end h */
             free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
           } /* end agec */
         } /* end yearp */
       } /* end cptcod */
     } /* end  cptcov */
          
     if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
   
     fclose(ficresf);
   }
   
   /************** Forecasting *****not tested NB*************/
   populforecast(char fileres[], double anpyram,double mpyram,double jpyram,double ageminpar, double agemax,double dateprev1, double dateprev2, int mobilav, double agedeb, double fage, int popforecast, char popfile[], double anpyram1,double p[], int i2){
     
     int cpt, stepsize, hstepm, nhstepm, j,k,c, cptcod, i,h;
     int *popage;
     double calagedatem, agelim, kk1, kk2;
     double *popeffectif,*popcount;
     double ***p3mat,***tabpop,***tabpopprev;
     double ***mobaverage;
     char filerespop[FILENAMELENGTH];
   
     tabpop= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
     tabpopprev= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
     agelim=AGESUP;
     calagedatem=(anpyram+mpyram/12.+jpyram/365.-dateintmean)*YEARM;
     
     prevalence(probs, ageminpar, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass);
     
     
     strcpy(filerespop,"pop"); 
     strcat(filerespop,fileres);
     if((ficrespop=fopen(filerespop,"w"))==NULL) {
       printf("Problem with forecast resultfile: %s\n", filerespop);
       fprintf(ficlog,"Problem with forecast resultfile: %s\n", filerespop);
     }
     printf("Computing forecasting: result on file '%s' \n", filerespop);
     fprintf(ficlog,"Computing forecasting: result on file '%s' \n", filerespop);
   
     if (cptcoveff==0) ncodemax[cptcoveff]=1;
   
     if (mobilav!=0) {
       mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
       if (movingaverage(probs, ageminpar, fage, mobaverage,mobilav)!=0){
         fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
         printf(" Error in movingaverage mobilav=%d\n",mobilav);
       }
     }
   
     stepsize=(int) (stepm+YEARM-1)/YEARM;
     if (stepm<=12) stepsize=1;
     
     agelim=AGESUP;
     
     hstepm=1;
     hstepm=hstepm/stepm; 
     
     if (popforecast==1) {
       if((ficpop=fopen(popfile,"r"))==NULL) {
         printf("Problem with population file : %s\n",popfile);exit(0);
         fprintf(ficlog,"Problem with population file : %s\n",popfile);exit(0);
       } 
       popage=ivector(0,AGESUP);
       popeffectif=vector(0,AGESUP);
       popcount=vector(0,AGESUP);
       
       i=1;   
       while ((c=fscanf(ficpop,"%d %lf\n",&popage[i],&popcount[i])) != EOF) i=i+1;
      
       imx=i;
       for (i=1; i<imx;i++) popeffectif[popage[i]]=popcount[i];
     }
   
     for(cptcov=1,k=0;cptcov<=i2;cptcov++){
      for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){
         k=k+1;
         fprintf(ficrespop,"\n#******");
         for(j=1;j<=cptcoveff;j++) {
           fprintf(ficrespop," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
         }
         fprintf(ficrespop,"******\n");
         fprintf(ficrespop,"# Age");
         for(j=1; j<=nlstate+ndeath;j++) fprintf(ficrespop," P.%d",j);
         if (popforecast==1)  fprintf(ficrespop," [Population]");
         
         for (cpt=0; cpt<=0;cpt++) { 
           fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);   
           
           for (agedeb=(fage-((int)calagedatem %12/12.)); agedeb>=(ageminpar-((int)calagedatem %12)/12.); agedeb--){ 
             nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); 
             nhstepm = nhstepm/hstepm; 
             
             p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
             oldm=oldms;savm=savms;
             hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);  
           
             for (h=0; h<=nhstepm; h++){
               if (h==(int) (calagedatem+YEARM*cpt)) {
                 fprintf(ficrespop,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm);
               } 
               for(j=1; j<=nlstate+ndeath;j++) {
                 kk1=0.;kk2=0;
                 for(i=1; i<=nlstate;i++) {              
                   if (mobilav==1) 
                     kk1=kk1+p3mat[i][j][h]*mobaverage[(int)agedeb+1][i][cptcod];
                   else {
                     kk1=kk1+p3mat[i][j][h]*probs[(int)(agedeb+1)][i][cptcod];
                   }
                 }
                 if (h==(int)(calagedatem+12*cpt)){
                   tabpop[(int)(agedeb)][j][cptcod]=kk1;
                     /*fprintf(ficrespop," %.3f", kk1);
                       if (popforecast==1) fprintf(ficrespop," [%.f]", kk1*popeffectif[(int)agedeb+1]);*/
                 }
               }
               for(i=1; i<=nlstate;i++){
                 kk1=0.;
                   for(j=1; j<=nlstate;j++){
                     kk1= kk1+tabpop[(int)(agedeb)][j][cptcod]; 
                   }
                     tabpopprev[(int)(agedeb)][i][cptcod]=tabpop[(int)(agedeb)][i][cptcod]/kk1*popeffectif[(int)(agedeb+(calagedatem+12*cpt)*hstepm/YEARM*stepm-1)];
               }
   
               if (h==(int)(calagedatem+12*cpt)) for(j=1; j<=nlstate;j++) 
                 fprintf(ficrespop," %15.2f",tabpopprev[(int)(agedeb+1)][j][cptcod]);
             }
             free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
           }
         }
    
     /******/
   
         for (cpt=1; cpt<=(anpyram1-anpyram);cpt++) { 
           fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);   
           for (agedeb=(fage-((int)calagedatem %12/12.)); agedeb>=(ageminpar-((int)calagedatem %12)/12.); agedeb--){ 
             nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); 
             nhstepm = nhstepm/hstepm; 
             
             p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
             oldm=oldms;savm=savms;
             hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);  
             for (h=0; h<=nhstepm; h++){
               if (h==(int) (calagedatem+YEARM*cpt)) {
                 fprintf(ficresf,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm);
               } 
               for(j=1; j<=nlstate+ndeath;j++) {
                 kk1=0.;kk2=0;
                 for(i=1; i<=nlstate;i++) {              
                   kk1=kk1+p3mat[i][j][h]*tabpopprev[(int)agedeb+1][i][cptcod];    
                 }
                 if (h==(int)(calagedatem+12*cpt)) fprintf(ficresf," %15.2f", kk1);        
               }
             }
             free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
           }
         }
      } 
     }
    
     if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
   
     if (popforecast==1) {
       free_ivector(popage,0,AGESUP);
       free_vector(popeffectif,0,AGESUP);
       free_vector(popcount,0,AGESUP);
     }
     free_ma3x(tabpop,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
     free_ma3x(tabpopprev,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
     fclose(ficrespop);
   } /* End of popforecast */
   
   int fileappend(FILE *fichier, char *optionfich)
   {
     if((fichier=fopen(optionfich,"a"))==NULL) {
       printf("Problem with file: %s\n", optionfich);
       fprintf(ficlog,"Problem with file: %s\n", optionfich);
       return (0);
     }
     fflush(fichier);
     return (1);
   }
   
   
   /**************** 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=0; 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=1;i<=imx ; i++)
       {
         if (cens[i] == 1 && wav[i]>1)
           A=-x[1]/(x[2])*(exp(x[2]*(agecens[i]-agegomp))-exp(x[2]*(ageexmed[i]-agegomp)));
         
         if (cens[i] == 0 && wav[i]>1)
           A=-x[1]/(x[2])*(exp(x[2]*(agedc[i]-agegomp))-exp(x[2]*(ageexmed[i]-agegomp)))
                +log(x[1]/YEARM)+x[2]*(agedc[i]-agegomp)+log(YEARM);  
         
         /*if (wav[i] > 1 && agecens[i] > 15) {*/ /* ??? */
         if (wav[i] > 1 ) { /* ??? */
           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,double agemortsup){
     int i,k;
   
     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>");
   
   fprintf(fichtm,"<ul><li><h4>Life table</h4>\n <br>");
   
    fprintf(fichtm,"\nAge   l<inf>x</inf>     q<inf>x</inf> d(x,x+1)    L<inf>x</inf>     T<inf>x</inf>     e<infx</inf><br>");
   
    for (k=agegomp;k<(agemortsup-2);k++) 
      fprintf(fichtm,"%d %.0lf %lf %.0lf %.0lf %.0lf %lf<br>\n",k,lsurv[k],p[1]*exp(p[2]*(k-agegomp)),(p[1]*exp(p[2]*(k-agegomp)))*lsurv[k],lpop[k],tpop[k],tpop[k]/lsurv[k]);
   
    
     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 linei, month, year,iout;
     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];
     char dummy[]="                         ";
     /*  FILE *fichtm; *//* Html File */
     /* FILE *ficgp;*/ /*Gnuplot File */
     struct stat info;
     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;
     int agemortsup;
     float  sumlpop=0.;
     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], imach program to get pathimach */
     printf("\nargv[0]=%s argv[1]=%s, \n",argv[0],argv[1]);
     split(argv[0],pathimach,optionfile,optionfilext,optionfilefiname);
     printf("\nargv[0]=%s pathimach=%s, \noptionfile=%s \noptionfilext=%s \noptionfilefiname=%s\n",argv[0],pathimach,optionfile,optionfilext,optionfilefiname);
    /*   strcpy(pathimach,argv[0]); */
     /* Split argv[1]=pathtot, parameter file name to get path, optionfile, extension and name */
     split(pathtot,path,optionfile,optionfilext,optionfilefiname);
     printf("\npathtot=%s,\npath=%s,\noptionfile=%s \noptionfilext=%s \noptionfilefiname=%s\n",pathtot,path,optionfile,optionfilext,optionfilefiname);
     chdir(path);
     strcpy(command,"mkdir ");
     strcat(command,optionfilefiname);
     if((outcmd=system(command)) != 0){
       printf("Problem creating directory or it already exists %s%s, err=%d\n",path,optionfilefiname,outcmd);
       /* fprintf(ficlog,"Problem creating directory %s%s\n",path,optionfilefiname); */
       /* fclose(ficlog); */
   /*     exit(1); */
     }
   /*   if((imk=mkdir(optionfilefiname))<0){ */
   /*     perror("mkdir"); */
   /*   } */
   
     /*-------- arguments in the command line --------*/
   
     /* Log file */
     strcat(filelog, optionfilefiname);
     strcat(filelog,".log");    /* */
     if((ficlog=fopen(filelog,"w"))==NULL)    {
       printf("Problem with logfile %s\n",filelog);
       goto end;
     }
     fprintf(ficlog,"Log filename:%s\n",filelog);
     fprintf(ficlog,"\n%s\n%s",version,fullversion);
     fprintf(ficlog,"\nEnter the parameter file name: \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;
     linei=0;
     while ((fgets(line, MAXLINE, fic) != NULL) &&((i >= firstobs) && (i <=lastobs))) {
       linei=linei+1;
       for(j=strlen(line); j>=0;j--){  /* Untabifies line */
         if(line[j] == '\t')
           line[j] = ' ';
       }
       for(j=strlen(line)-1; (line[j]==' ')||(line[j]==10)||(line[j]==13);j--){
         ;
       };
       line[j+1]=0;  /* Trims blanks at end of line */
       if(line[0]=='#'){
         fprintf(ficlog,"Comment line\n%s\n",line);
         printf("Comment line\n%s\n",line);
         continue;
       }
   
       for (j=maxwav;j>=1;j--){
         cutv(stra, strb,line,' '); 
         errno=0;
         lval=strtol(strb,&endptr,10); 
         /*        if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN))*/
         if( strb[0]=='\0' || (*endptr != '\0')){
           printf("Error reading data around '%d' at line number %d %s for individual %d, '%s'\nShould be a status of wave %d. Setting maxwav=%d might be wrong.  Exiting.\n", strb, linei,i,line,j,maxwav);
           exit(1);
         }
         s[j][i]=lval;
         
         strcpy(line,stra);
         cutv(stra, strb,line,' ');
         if(iout=sscanf(strb,"%d/%d",&month, &year) != 0){
         }
         else  if(iout=sscanf(strb,"%s.") != 0){
           month=99;
           year=9999;
         }else{
           printf("Error reading data around '%s' at line number %ld %s for individual %d, '%s'\nShould be a date of interview (mm/yyyy or .) at wave %d.  Exiting.\n",strb, linei,i, line,j);
           exit(1);
         }
         anint[j][i]= (double) year; 
         mint[j][i]= (double)month; 
         strcpy(line,stra);
       } /* ENd Waves */
       
       cutv(stra, strb,line,' '); 
       if(iout=sscanf(strb,"%d/%d",&month, &year) != 0){
       }
       else  if(iout=sscanf(strb,"%s.",dummy) != 0){
         month=99;
         year=9999;
       }else{
         printf("Error reading data around '%s' at line number %ld %s for individual %d, '%s'\nShould be a date of death (mm/yyyy or .).  Exiting.\n",strb, linei,i,line);
         exit(1);
       }
       andc[i]=(double) year; 
       moisdc[i]=(double) month; 
       strcpy(line,stra);
       
       cutv(stra, strb,line,' '); 
       if(iout=sscanf(strb,"%d/%d",&month, &year) != 0){
       }
       else  if(iout=sscanf(strb,"%s.") != 0){
         month=99;
         year=9999;
       }else{
         printf("Error reading data around '%s' at line number %ld %s for individual %d, '%s'\nShould be a date of birth (mm/yyyy or .).  Exiting.\n",strb, linei,i,line,j);
         exit(1);
       }
       annais[i]=(double)(year);
       moisnais[i]=(double)(month); 
       strcpy(line,stra);
       
       cutv(stra, strb,line,' '); 
       errno=0;
       lval=strtol(strb,&endptr,10); 
       if( strb[0]=='\0' || (*endptr != '\0')){
         printf("Error reading data around '%d' at line number %ld %s for individual %d\nShould be a weight.  Exiting.\n",lval, i,line,linei);
         exit(1);
       }
       weight[i]=(double)(lval); 
       strcpy(line,stra);
       
       for (j=ncovcol;j>=1;j--){
         cutv(stra, strb,line,' '); 
         errno=0;
         lval=strtol(strb,&endptr,10); 
         if( strb[0]=='\0' || (*endptr != '\0')){
           printf("Error reading data around '%d' at line number %ld %s for individual %d, '%s'\nShould be a covar (meaning 0 for the reference or 1).  Exiting.\n",lval, linei,i, line);
           exit(1);
         }
         if(lval <-1 || lval >1){
           printf("Error reading data around '%d' at line number %ld %s for individual %d, '%s'\nShould be a value of the %d covar (meaning 0 for the reference or 1. IMaCh does not build design variables, do it your self).  Exiting.\n",lval,linei, i,line,j);
           exit(1);
         }
         covar[j][i]=(double)(lval);
         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;
     } /* End loop reading  data */
     /* 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 parameters 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 || s[m][i]==-2 || s[m][i]==-4 || s[m][i]==-5){
           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,strstart);
   
     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 (m=firstpass; m<=lastpass; m++)
           if (s[m][i]>nlstate) {
             dcwave[i]=m;
             /*    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;
           }else 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]=0.0268; p[NDIM]=0.083;
       /*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]));
   
       lsurv=vector(1,AGESUP);
       lpop=vector(1,AGESUP);
       tpop=vector(1,AGESUP);
       lsurv[agegomp]=100000;
       
       for (k=agegomp;k<=AGESUP;k++) {
         agemortsup=k;
         if (p[1]*exp(p[2]*(k-agegomp))>1) break;
       }
       
       for (k=agegomp;k<agemortsup;k++)
         lsurv[k+1]=lsurv[k]-lsurv[k]*(p[1]*exp(p[2]*(k-agegomp)));
       
       for (k=agegomp;k<agemortsup;k++){
         lpop[k]=(lsurv[k]+lsurv[k+1])/2.;
         sumlpop=sumlpop+lpop[k];
       }
       
       tpop[agegomp]=sumlpop;
       for (k=agegomp;k<(agemortsup-3);k++){
         /*  tpop[k+1]=2;*/
         tpop[k+1]=tpop[k]-lpop[k];
       }
       
       
       printf("\nAge   lx     qx    dx    Lx     Tx     e(x)\n");
       for (k=agegomp;k<(agemortsup-2);k++) 
         printf("%d %.0lf %lf %.0lf %.0lf %.0lf %lf\n",k,lsurv[k],p[1]*exp(p[2]*(k-agegomp)),(p[1]*exp(p[2]*(k-agegomp)))*lsurv[k],lpop[k],tpop[k],tpop[k]/lsurv[k]);
       
       
       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,agemortsup);
       
       free_vector(lsurv,1,AGESUP);
       free_vector(lpop,1,AGESUP);
       free_vector(tpop,1,AGESUP);
     } /* 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, "#Local time at start: %s", strstart);
       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, "#Local time at start: %s", strstart);
       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,strstart);
   
       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, strstart);  
    
           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, strstart);
           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, strstart);
           }
   
           fprintf(ficrest, "#Local time at start: %s", strstart);
           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,strstart);
           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\nLocal time 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);
     /*strcat(plotcmd,CHARSEPARATOR);*/
     sprintf(plotcmd,"gnuplot");
   #ifndef UNIX
     sprintf(plotcmd,"\"%swgnuplot.exe\"",pathimach);
   #endif
     if(!stat(plotcmd,&info)){
       printf("Error gnuplot program not found: %s\n",plotcmd);fflush(stdout);
       if(!stat(getenv("GNUPLOTBIN"),&info)){
         printf("Error gnuplot program not found: %s Environment GNUPLOTBIN not set.\n",plotcmd);fflush(stdout);
       }else
         strcpy(pplotcmd,plotcmd);
   #ifdef UNIX
       strcpy(plotcmd,GNUPLOTPROGRAM);
       if(!stat(plotcmd,&info)){
         printf("Error gnuplot program not found: %s\n",plotcmd);fflush(stdout);
       }else
         strcpy(pplotcmd,plotcmd);
   #endif
     }else
       strcpy(pplotcmd,plotcmd);
     
     sprintf(plotcmd,"%s %s",pplotcmd, optionfilegnuplot);
     printf("Starting graphs with: %s\n",plotcmd);fflush(stdout);
   
     if((outcmd=system(plotcmd)) != 0){
       printf("\n 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.1.7  
changed lines
  Added in v.1.111


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