Diff for /imach/src/imach.c between versions 1.41.2.1 and 1.123

version 1.41.2.1, 2003/06/12 10:43:20 version 1.123, 2006/03/20 10:52:43
Line 1 Line 1
 /* $Id$  /* $Id$
    Interpolated Markov Chain    $State$
     $Log$
   Short summary of the programme:    Revision 1.123  2006/03/20 10:52:43  brouard
      * imach.c (Module): <title> changed, corresponds to .htm file
   This program computes Healthy Life Expectancies from    name. <head> headers where missing.
   cross-longitudinal data. Cross-longitudinal data consist in: -1- a  
   first survey ("cross") where individuals from different ages are    * imach.c (Module): Weights can have a decimal point as for
   interviewed on their health status or degree of disability (in the    English (a comma might work with a correct LC_NUMERIC environment,
   case of a health survey which is our main interest) -2- at least a    otherwise the weight is truncated).
   second wave of interviews ("longitudinal") which measure each change    Modification of warning when the covariates values are not 0 or
   (if any) in individual health status.  Health expectancies are    1.
   computed from the time spent in each health state according to a    Version 0.98g
   model. More health states you consider, more time is necessary to reach the  
   Maximum Likelihood of the parameters involved in the model.  The    Revision 1.122  2006/03/20 09:45:41  brouard
   simplest model is the multinomial logistic model where pij is the    (Module): Weights can have a decimal point as for
   probability to be observed in state j at the second wave    English (a comma might work with a correct LC_NUMERIC environment,
   conditional to be observed in state i at the first wave. Therefore    otherwise the weight is truncated).
   the model is: log(pij/pii)= aij + bij*age+ cij*sex + etc , where    Modification of warning when the covariates values are not 0 or
   'age' is age and 'sex' is a covariate. If you want to have a more    1.
   complex model than "constant and age", you should modify the program    Version 0.98g
   where the markup *Covariates have to be included here again* invites  
   you to do it.  More covariates you add, slower the    Revision 1.121  2006/03/16 17:45:01  lievre
   convergence.    * imach.c (Module): Comments concerning covariates added
   
   The advantage of this computer programme, compared to a simple    * imach.c (Module): refinements in the computation of lli if
   multinomial logistic model, is clear when the delay between waves is not    status=-2 in order to have more reliable computation if stepm is
   identical for each individual. Also, if a individual missed an    not 1 month. Version 0.98f
   intermediate interview, the information is lost, but taken into  
   account using an interpolation or extrapolation.      Revision 1.120  2006/03/16 15:10:38  lievre
     (Module): refinements in the computation of lli if
   hPijx is the probability to be observed in state i at age x+h    status=-2 in order to have more reliable computation if stepm is
   conditional to the observed state i at age x. The delay 'h' can be    not 1 month. Version 0.98f
   split into an exact number (nh*stepm) of unobserved intermediate  
   states. This elementary transition (by month or quarter trimester,    Revision 1.119  2006/03/15 17:42:26  brouard
   semester or year) is model as a multinomial logistic.  The hPx    (Module): Bug if status = -2, the loglikelihood was
   matrix is simply the matrix product of nh*stepm elementary matrices    computed as likelihood omitting the logarithm. Version O.98e
   and the contribution of each individual to the likelihood is simply  
   hPijx.    Revision 1.118  2006/03/14 18:20:07  brouard
     (Module): varevsij Comments added explaining the second
   Also this programme outputs the covariance matrix of the parameters but also    table of variances if popbased=1 .
   of the life expectancies. It also computes the prevalence limits.    (Module): Covariances of eij, ekl added, graphs fixed, new html link.
      (Module): Function pstamp added
   Authors: Nicolas Brouard (brouard@ined.fr) and Agnès Lièvre (lievre@ined.fr).    (Module): Version 0.98d
            Institut national d'études démographiques, Paris.  
   This software have been partly granted by Euro-REVES, a concerted action    Revision 1.117  2006/03/14 17:16:22  brouard
   from the European Union.    (Module): varevsij Comments added explaining the second
   It is copyrighted identically to a GNU software product, ie programme and    table of variances if popbased=1 .
   software can be distributed freely for non commercial use. Latest version    (Module): Covariances of eij, ekl added, graphs fixed, new html link.
   can be accessed at http://euroreves.ined.fr/imach .    (Module): Function pstamp added
   **********************************************************************/    (Module): Version 0.98d
    
 #include <math.h>    Revision 1.116  2006/03/06 10:29:27  brouard
 #include <stdio.h>    (Module): Variance-covariance wrong links and
 #include <stdlib.h>    varian-covariance of ej. is needed (Saito).
 #include <unistd.h>  
     Revision 1.115  2006/02/27 12:17:45  brouard
 #define MAXLINE 256    (Module): One freematrix added in mlikeli! 0.98c
 #define GNUPLOTPROGRAM "wgnuplot"  
 /*#define GNUPLOTPROGRAM "..\\gp37mgw\\wgnuplot"*/    Revision 1.114  2006/02/26 12:57:58  brouard
 #define FILENAMELENGTH 80    (Module): Some improvements in processing parameter
 /*#define DEBUG*/    filename with strsep.
   
 /*#define windows*/    Revision 1.113  2006/02/24 14:20:24  brouard
 #define GLOCK_ERROR_NOPATH              -1      /* empty path */    (Module): Memory leaks checks with valgrind and:
 #define GLOCK_ERROR_GETCWD              -2      /* cannot get cwd */    datafile was not closed, some imatrix were not freed and on matrix
     allocation too.
 #define MAXPARM 30 /* Maximum number of parameters for the optimization */  
 #define NPARMAX 64 /* (nlstate+ndeath-1)*nlstate*ncovmodel */    Revision 1.112  2006/01/30 09:55:26  brouard
     (Module): Back to gnuplot.exe instead of wgnuplot.exe
 #define NINTERVMAX 8  
 #define NLSTATEMAX 8 /* Maximum number of live states (for func) */    Revision 1.111  2006/01/25 20:38:18  brouard
 #define NDEATHMAX 8 /* Maximum number of dead states (for func) */    (Module): Lots of cleaning and bugs added (Gompertz)
 #define NCOVMAX 8 /* Maximum number of covariates */    (Module): Comments can be added in data file. Missing date values
 #define MAXN 20000    can be a simple dot '.'.
 #define YEARM 12. /* Number of months per year */  
 #define AGESUP 130    Revision 1.110  2006/01/25 00:51:50  brouard
 #define AGEBASE 40    (Module): Lots of cleaning and bugs added (Gompertz)
   
     Revision 1.109  2006/01/24 19:37:15  brouard
 int erreur; /* Error number */    (Module): Comments (lines starting with a #) are allowed in data.
 int nvar;  
 int cptcovn, cptcovage=0, cptcoveff=0,cptcov;    Revision 1.108  2006/01/19 18:05:42  lievre
 int npar=NPARMAX;    Gnuplot problem appeared...
 int nlstate=2; /* Number of live states */    To be fixed
 int ndeath=1; /* Number of dead states */  
 int ncovmodel, ncovcol;     /* Total number of covariables including constant a12*1 +b12*x ncovmodel=2 */    Revision 1.107  2006/01/19 16:20:37  brouard
 int popbased=0;    Test existence of gnuplot in imach path
   
 int *wav; /* Number of waves for this individuual 0 is possible */    Revision 1.106  2006/01/19 13:24:36  brouard
 int maxwav; /* Maxim number of waves */    Some cleaning and links added in html output
 int jmin, jmax; /* min, max spacing between 2 waves */  
 int mle, weightopt;    Revision 1.105  2006/01/05 20:23:19  lievre
 int **mw; /* mw[mi][i] is number of the mi wave for this individual */    *** empty log message ***
 int **dh; /* dh[mi][i] is number of steps between mi,mi+1 for this individual */  
 double jmean; /* Mean space between 2 waves */    Revision 1.104  2005/09/30 16:11:43  lievre
 double **oldm, **newm, **savm; /* Working pointers to matrices */    (Module): sump fixed, loop imx fixed, and simplifications.
 double **oldms, **newms, **savms; /* Fixed working pointers to matrices */    (Module): If the status is missing at the last wave but we know
 FILE *fic,*ficpar, *ficparo,*ficres,  *ficrespl, *ficrespij, *ficrest,*ficresf,*ficrespop;    that the person is alive, then we can code his/her status as -2
 FILE *ficgp,*ficresprob,*ficpop;    (instead of missing=-1 in earlier versions) and his/her
 FILE *ficreseij;    contributions to the likelihood is 1 - Prob of dying from last
   char filerese[FILENAMELENGTH];    health status (= 1-p13= p11+p12 in the easiest case of somebody in
  FILE  *ficresvij;    the healthy state at last known wave). Version is 0.98
   char fileresv[FILENAMELENGTH];  
  FILE  *ficresvpl;    Revision 1.103  2005/09/30 15:54:49  lievre
   char fileresvpl[FILENAMELENGTH];    (Module): sump fixed, loop imx fixed, and simplifications.
   
 #define NR_END 1    Revision 1.102  2004/09/15 17:31:30  brouard
 #define FREE_ARG char*    Add the possibility to read data file including tab characters.
 #define FTOL 1.0e-10  
     Revision 1.101  2004/09/15 10:38:38  brouard
 #define NRANSI    Fix on curr_time
 #define ITMAX 200  
     Revision 1.100  2004/07/12 18:29:06  brouard
 #define TOL 2.0e-4    Add version for Mac OS X. Just define UNIX in Makefile
   
 #define CGOLD 0.3819660    Revision 1.99  2004/06/05 08:57:40  brouard
 #define ZEPS 1.0e-10    *** empty log message ***
 #define SHFT(a,b,c,d) (a)=(b);(b)=(c);(c)=(d);  
     Revision 1.98  2004/05/16 15:05:56  brouard
 #define GOLD 1.618034    New version 0.97 . First attempt to estimate force of mortality
 #define GLIMIT 100.0    directly from the data i.e. without the need of knowing the health
 #define TINY 1.0e-20    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
 static double maxarg1,maxarg2;    other analysis, in order to test if the mortality estimated from the
 #define FMAX(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)>(maxarg2)? (maxarg1):(maxarg2))    cross-longitudinal survey is different from the mortality estimated
 #define FMIN(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)<(maxarg2)? (maxarg1):(maxarg2))    from other sources like vital statistic data.
    
 #define SIGN(a,b) ((b)>0.0 ? fabs(a) : -fabs(a))    The same imach parameter file can be used but the option for mle should be -3.
 #define rint(a) floor(a+0.5)  
     Agnès, who wrote this part of the code, tried to keep most of the
 static double sqrarg;    former routines in order to include the new code within the former code.
 #define SQR(a) ((sqrarg=(a)) == 0.0 ? 0.0 :sqrarg*sqrarg)  
 #define SWAP(a,b) {temp=(a);(a)=(b);(b)=temp;}    The output is very simple: only an estimate of the intercept and of
     the slope with 95% confident intervals.
 int imx;  
 int stepm;    Current limitations:
 /* Stepm, step in month: minimum step interpolation*/    A) Even if you enter covariates, i.e. with the
     model= V1+V2 equation for example, the programm does only estimate a unique global model without covariates.
 int estepm;    B) There is no computation of Life Expectancy nor Life Table.
 /* Estepm, step in month to interpolate survival function in order to approximate Life Expectancy*/  
     Revision 1.97  2004/02/20 13:25:42  lievre
 int m,nb;    Version 0.96d. Population forecasting command line is (temporarily)
 int *num, firstpass=0, lastpass=4,*cod, *ncodemax, *Tage;    suppressed.
 double **agev,*moisnais, *annais, *moisdc, *andc,**mint, **anint;  
 double **pmmij, ***probs, ***mobaverage;    Revision 1.96  2003/07/15 15:38:55  brouard
 double dateintmean=0;    * imach.c (Repository): Errors in subdirf, 2, 3 while printing tmpout is
     rewritten within the same printf. Workaround: many printfs.
 double *weight;  
 int **s; /* Status */    Revision 1.95  2003/07/08 07:54:34  brouard
 double *agedc, **covar, idx;    * imach.c (Repository):
 int **nbcode, *Tcode, *Tvar, **codtab, **Tvard, *Tprod, cptcovprod, *Tvaraff;    (Repository): Using imachwizard code to output a more meaningful covariance
     matrix (cov(a12,c31) instead of numbers.
 double ftol=FTOL; /* Tolerance for computing Max Likelihood */  
 double ftolhess; /* Tolerance for computing hessian */    Revision 1.94  2003/06/27 13:00:02  brouard
     Just cleaning
 /**************** split *************************/  
 static  int split( char *path, char *dirc, char *name, char *ext, char *finame )    Revision 1.93  2003/06/25 16:33:55  brouard
 {    (Module): On windows (cygwin) function asctime_r doesn't
    char *s;                             /* pointer */    exist so I changed back to asctime which exists.
    int  l1, l2;                         /* length counters */    (Module): Version 0.96b
   
    l1 = strlen( path );                 /* length of path */    Revision 1.92  2003/06/25 16:30:45  brouard
    if ( l1 == 0 ) return( GLOCK_ERROR_NOPATH );    (Module): On windows (cygwin) function asctime_r doesn't
 #ifdef windows    exist so I changed back to asctime which exists.
    s = strrchr( path, '\\' );           /* find last / */  
 #else    Revision 1.91  2003/06/25 15:30:29  brouard
    s = strrchr( path, '/' );            /* find last / */    * imach.c (Repository): Duplicated warning errors corrected.
 #endif    (Repository): Elapsed time after each iteration is now output. It
    if ( s == NULL ) {                   /* no directory, so use current */    helps to forecast when convergence will be reached. Elapsed time
 #if     defined(__bsd__)                /* get current working directory */    is stamped in powell.  We created a new html file for the graphs
       extern char       *getwd( );    concerning matrix of covariance. It has extension -cov.htm.
   
       if ( getwd( dirc ) == NULL ) {    Revision 1.90  2003/06/24 12:34:15  brouard
 #else    (Module): Some bugs corrected for windows. Also, when
       extern char       *getcwd( );    mle=-1 a template is output in file "or"mypar.txt with the design
     of the covariance matrix to be input.
       if ( getcwd( dirc, FILENAME_MAX ) == NULL ) {  
 #endif    Revision 1.89  2003/06/24 12:30:52  brouard
          return( GLOCK_ERROR_GETCWD );    (Module): Some bugs corrected for windows. Also, when
       }    mle=-1 a template is output in file "or"mypar.txt with the design
       strcpy( name, path );             /* we've got it */    of the covariance matrix to be input.
    } else {                             /* strip direcotry from path */  
       s++;                              /* after this, the filename */    Revision 1.88  2003/06/23 17:54:56  brouard
       l2 = strlen( s );                 /* length of filename */    * 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.
       if ( l2 == 0 ) return( GLOCK_ERROR_NOPATH );  
       strcpy( name, s );                /* save file name */    Revision 1.87  2003/06/18 12:26:01  brouard
       strncpy( dirc, path, l1 - l2 );   /* now the directory */    Version 0.96
       dirc[l1-l2] = 0;                  /* add zero */  
    }    Revision 1.86  2003/06/17 20:04:08  brouard
    l1 = strlen( dirc );                 /* length of directory */    (Module): Change position of html and gnuplot routines and added
 #ifdef windows    routine fileappend.
    if ( dirc[l1-1] != '\\' ) { dirc[l1] = '\\'; dirc[l1+1] = 0; }  
 #else    Revision 1.85  2003/06/17 13:12:43  brouard
    if ( dirc[l1-1] != '/' ) { dirc[l1] = '/'; dirc[l1+1] = 0; }    * imach.c (Repository): Check when date of death was earlier that
 #endif    current date of interview. It may happen when the death was just
    s = strrchr( name, '.' );            /* find last / */    prior to the death. In this case, dh was negative and likelihood
    s++;    was wrong (infinity). We still send an "Error" but patch by
    strcpy(ext,s);                       /* save extension */    assuming that the date of death was just one stepm after the
    l1= strlen( name);    interview.
    l2= strlen( s)+1;    (Repository): Because some people have very long ID (first column)
    strncpy( finame, name, l1-l2);    we changed int to long in num[] and we added a new lvector for
    finame[l1-l2]= 0;    memory allocation. But we also truncated to 8 characters (left
    return( 0 );                         /* we're done */    truncation)
 }    (Repository): No more line truncation errors.
   
     Revision 1.84  2003/06/13 21:44:43  brouard
 /******************************************/    * imach.c (Repository): Replace "freqsummary" at a correct
     place. It differs from routine "prevalence" which may be called
 void replace(char *s, char*t)    many times. Probs is memory consuming and must be used with
 {    parcimony.
   int i;    Version 0.95a3 (should output exactly the same maximization than 0.8a2)
   int lg=20;  
   i=0;    Revision 1.83  2003/06/10 13:39:11  lievre
   lg=strlen(t);    *** empty log message ***
   for(i=0; i<= lg; i++) {  
     (s[i] = t[i]);    Revision 1.82  2003/06/05 15:57:20  brouard
     if (t[i]== '\\') s[i]='/';    Add log in  imach.c and  fullversion number is now printed.
   }  
 }  */
   /*
 int nbocc(char *s, char occ)     Interpolated Markov Chain
 {  
   int i,j=0;    Short summary of the programme:
   int lg=20;    
   i=0;    This program computes Healthy Life Expectancies from
   lg=strlen(s);    cross-longitudinal data. Cross-longitudinal data consist in: -1- a
   for(i=0; i<= lg; i++) {    first survey ("cross") where individuals from different ages are
   if  (s[i] == occ ) j++;    interviewed on their health status or degree of disability (in the
   }    case of a health survey which is our main interest) -2- at least a
   return j;    second wave of interviews ("longitudinal") which measure each change
 }    (if any) in individual health status.  Health expectancies are
     computed from the time spent in each health state according to a
 void cutv(char *u,char *v, char*t, char occ)    model. More health states you consider, more time is necessary to reach the
 {    Maximum Likelihood of the parameters involved in the model.  The
   int i,lg,j,p=0;    simplest model is the multinomial logistic model where pij is the
   i=0;    probability to be observed in state j at the second wave
   for(j=0; j<=strlen(t)-1; j++) {    conditional to be observed in state i at the first wave. Therefore
     if((t[j]!= occ) && (t[j+1]== occ)) p=j+1;    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
   lg=strlen(t);    where the markup *Covariates have to be included here again* invites
   for(j=0; j<p; j++) {    you to do it.  More covariates you add, slower the
     (u[j] = t[j]);    convergence.
   }  
      u[p]='\0';    The advantage of this computer programme, compared to a simple
     multinomial logistic model, is clear when the delay between waves is not
    for(j=0; j<= lg; j++) {    identical for each individual. Also, if a individual missed an
     if (j>=(p+1))(v[j-p-1] = t[j]);    intermediate interview, the information is lost, but taken into
   }    account using an interpolation or extrapolation.  
 }  
     hPijx is the probability to be observed in state i at age x+h
 /********************** nrerror ********************/    conditional to the observed state i at age x. The delay 'h' can be
     split into an exact number (nh*stepm) of unobserved intermediate
 void nrerror(char error_text[])    states. This elementary transition (by month, quarter,
 {    semester or year) is modelled as a multinomial logistic.  The hPx
   fprintf(stderr,"ERREUR ...\n");    matrix is simply the matrix product of nh*stepm elementary matrices
   fprintf(stderr,"%s\n",error_text);    and the contribution of each individual to the likelihood is simply
   exit(1);    hPijx.
 }  
 /*********************** vector *******************/    Also this programme outputs the covariance matrix of the parameters but also
 double *vector(int nl, int nh)    of the life expectancies. It also computes the period (stable) prevalence. 
 {    
   double *v;    Authors: Nicolas Brouard (brouard@ined.fr) and Agnès Lièvre (lievre@ined.fr).
   v=(double *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(double)));             Institut national d'études démographiques, Paris.
   if (!v) nrerror("allocation failure in vector");    This software have been partly granted by Euro-REVES, a concerted action
   return v-nl+NR_END;    from the European Union.
 }    It is copyrighted identically to a GNU software product, ie programme and
     software can be distributed freely for non commercial use. Latest version
 /************************ free vector ******************/    can be accessed at http://euroreves.ined.fr/imach .
 void free_vector(double*v, int nl, int nh)  
 {    Help to debug: LD_PRELOAD=/usr/local/lib/libnjamd.so ./imach foo.imach
   free((FREE_ARG)(v+nl-NR_END));    or better on gdb : set env LD_PRELOAD=/usr/local/lib/libnjamd.so
 }    
     **********************************************************************/
 /************************ivector *******************************/  /*
 int *ivector(long nl,long nh)    main
 {    read parameterfile
   int *v;    read datafile
   v=(int *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(int)));    concatwav
   if (!v) nrerror("allocation failure in ivector");    freqsummary
   return v-nl+NR_END;    if (mle >= 1)
 }      mlikeli
     print results files
 /******************free ivector **************************/    if mle==1 
 void free_ivector(int *v, long nl, long nh)       computes hessian
 {    read end of parameter file: agemin, agemax, bage, fage, estepm
   free((FREE_ARG)(v+nl-NR_END));        begin-prev-date,...
 }    open gnuplot file
     open html file
 /******************* imatrix *******************************/    period (stable) prevalence
 int **imatrix(long nrl, long nrh, long ncl, long nch)     for age prevalim()
      /* allocate a int matrix with subscript range m[nrl..nrh][ncl..nch] */    h Pij x
 {    variance of p varprob
   long i, nrow=nrh-nrl+1,ncol=nch-ncl+1;    forecasting if prevfcast==1 prevforecast call prevalence()
   int **m;    health expectancies
      Variance-covariance of DFLE
   /* allocate pointers to rows */    prevalence()
   m=(int **) malloc((size_t)((nrow+NR_END)*sizeof(int*)));     movingaverage()
   if (!m) nrerror("allocation failure 1 in matrix()");    varevsij() 
   m += NR_END;    if popbased==1 varevsij(,popbased)
   m -= nrl;    total life expectancies
      Variance of period (stable) prevalence
     end
   /* allocate rows and set pointers to them */  */
   m[nrl]=(int *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(int)));  
   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");  
   m[nrl] += NR_END;  
   m[nrl] -= ncl;   
    #include <math.h>
   for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol;  #include <stdio.h>
    #include <stdlib.h>
   /* return pointer to array of pointers to rows */  #include <string.h>
   return m;  #include <unistd.h>
 }  
   #include <limits.h>
 /****************** free_imatrix *************************/  #include <sys/types.h>
 void free_imatrix(m,nrl,nrh,ncl,nch)  #include <sys/stat.h>
       int **m;  #include <errno.h>
       long nch,ncl,nrh,nrl;  extern int errno;
      /* free an int matrix allocated by imatrix() */  
 {  /* #include <sys/time.h> */
   free((FREE_ARG) (m[nrl]+ncl-NR_END));  #include <time.h>
   free((FREE_ARG) (m+nrl-NR_END));  #include "timeval.h"
 }  
   /* #include <libintl.h> */
 /******************* matrix *******************************/  /* #define _(String) gettext (String) */
 double **matrix(long nrl, long nrh, long ncl, long nch)  
 {  #define MAXLINE 256
   long i, nrow=nrh-nrl+1, ncol=nch-ncl+1;  
   double **m;  #define GNUPLOTPROGRAM "gnuplot"
   /*#define GNUPLOTPROGRAM "..\\gp37mgw\\wgnuplot"*/
   m=(double **) malloc((size_t)((nrow+NR_END)*sizeof(double*)));  #define FILENAMELENGTH 132
   if (!m) nrerror("allocation failure 1 in matrix()");  
   m += NR_END;  #define GLOCK_ERROR_NOPATH              -1      /* empty path */
   m -= nrl;  #define GLOCK_ERROR_GETCWD              -2      /* cannot get cwd */
   
   m[nrl]=(double *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));  #define MAXPARM 30 /* Maximum number of parameters for the optimization */
   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");  #define NPARMAX 64 /* (nlstate+ndeath-1)*nlstate*ncovmodel */
   m[nrl] += NR_END;  
   m[nrl] -= ncl;  #define NINTERVMAX 8
   #define NLSTATEMAX 8 /* Maximum number of live states (for func) */
   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;  #define NDEATHMAX 8 /* Maximum number of dead states (for func) */
   return m;  #define NCOVMAX 8 /* Maximum number of covariates */
 }  #define MAXN 20000
   #define YEARM 12. /* Number of months per year */
 /*************************free matrix ************************/  #define AGESUP 130
 void free_matrix(double **m, long nrl, long nrh, long ncl, long nch)  #define AGEBASE 40
 {  #define AGEGOMP 10. /* Minimal age for Gompertz adjustment */
   free((FREE_ARG)(m[nrl]+ncl-NR_END));  #ifdef UNIX
   free((FREE_ARG)(m+nrl-NR_END));  #define DIRSEPARATOR '/'
 }  #define CHARSEPARATOR "/"
   #define ODIRSEPARATOR '\\'
 /******************* ma3x *******************************/  #else
 double ***ma3x(long nrl, long nrh, long ncl, long nch, long nll, long nlh)  #define DIRSEPARATOR '\\'
 {  #define CHARSEPARATOR "\\"
   long i, j, nrow=nrh-nrl+1, ncol=nch-ncl+1, nlay=nlh-nll+1;  #define ODIRSEPARATOR '/'
   double ***m;  #endif
   
   m=(double ***) malloc((size_t)((nrow+NR_END)*sizeof(double*)));  /* $Id$ */
   if (!m) nrerror("allocation failure 1 in matrix()");  /* $State$ */
   m += NR_END;  
   m -= nrl;  char version[]="Imach version 0.98g, March 2006, INED-EUROREVES-Institut de longevite ";
   char fullversion[]="$Revision$ $Date$"; 
   m[nrl]=(double **) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));  char strstart[80];
   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");  char optionfilext[10], optionfilefiname[FILENAMELENGTH];
   m[nrl] += NR_END;  int erreur, nberr=0, nbwarn=0; /* Error number, number of errors number of warnings  */
   m[nrl] -= ncl;  int nvar;
   int cptcovn=0, cptcovage=0, cptcoveff=0,cptcov;
   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;  int npar=NPARMAX;
   int nlstate=2; /* Number of live states */
   m[nrl][ncl]=(double *) malloc((size_t)((nrow*ncol*nlay+NR_END)*sizeof(double)));  int ndeath=1; /* Number of dead states */
   if (!m[nrl][ncl]) nrerror("allocation failure 3 in matrix()");  int ncovmodel, ncovcol;     /* Total number of covariables including constant a12*1 +b12*x ncovmodel=2 */
   m[nrl][ncl] += NR_END;  int popbased=0;
   m[nrl][ncl] -= nll;  
   for (j=ncl+1; j<=nch; j++)  int *wav; /* Number of waves for this individuual 0 is possible */
     m[nrl][j]=m[nrl][j-1]+nlay;  int maxwav; /* Maxim number of waves */
    int jmin, jmax; /* min, max spacing between 2 waves */
   for (i=nrl+1; i<=nrh; i++) {  int ijmin, ijmax; /* Individuals having jmin and jmax */ 
     m[i][ncl]=m[i-1l][ncl]+ncol*nlay;  int gipmx, gsw; /* Global variables on the number of contributions 
     for (j=ncl+1; j<=nch; j++)                     to the likelihood and the sum of weights (done by funcone)*/
       m[i][j]=m[i][j-1]+nlay;  int mle, weightopt;
   }  int **mw; /* mw[mi][i] is number of the mi wave for this individual */
   return m;  int **dh; /* dh[mi][i] is number of steps between mi,mi+1 for this individual */
 }  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 ma3x ************************/  double jmean; /* Mean space between 2 waves */
 void free_ma3x(double ***m, long nrl, long nrh, long ncl, long nch,long nll, long nlh)  double **oldm, **newm, **savm; /* Working pointers to matrices */
 {  double **oldms, **newms, **savms; /* Fixed working pointers to matrices */
   free((FREE_ARG)(m[nrl][ncl]+ nll-NR_END));  FILE *fic,*ficpar, *ficparo,*ficres, *ficresp, *ficrespl, *ficrespij, *ficrest,*ficresf,*ficrespop;
   free((FREE_ARG)(m[nrl]+ncl-NR_END));  FILE *ficlog, *ficrespow;
   free((FREE_ARG)(m+nrl-NR_END));  int globpr; /* Global variable for printing or not */
 }  double fretone; /* Only one call to likelihood */
   long ipmx; /* Number of contributions */
 /***************** f1dim *************************/  double sw; /* Sum of weights */
 extern int ncom;  char filerespow[FILENAMELENGTH];
 extern double *pcom,*xicom;  char fileresilk[FILENAMELENGTH]; /* File of individual contributions to the likelihood */
 extern double (*nrfunc)(double []);  FILE *ficresilk;
    FILE *ficgp,*ficresprob,*ficpop, *ficresprobcov, *ficresprobcor;
 double f1dim(double x)  FILE *ficresprobmorprev;
 {  FILE *fichtm, *fichtmcov; /* Html File */
   int j;  FILE *ficreseij;
   double f;  char filerese[FILENAMELENGTH];
   double *xt;  FILE *ficresstdeij;
    char fileresstde[FILENAMELENGTH];
   xt=vector(1,ncom);  FILE *ficrescveij;
   for (j=1;j<=ncom;j++) xt[j]=pcom[j]+x*xicom[j];  char filerescve[FILENAMELENGTH];
   f=(*nrfunc)(xt);  FILE  *ficresvij;
   free_vector(xt,1,ncom);  char fileresv[FILENAMELENGTH];
   return f;  FILE  *ficresvpl;
 }  char fileresvpl[FILENAMELENGTH];
   char title[MAXLINE];
 /*****************brent *************************/  char optionfile[FILENAMELENGTH], datafile[FILENAMELENGTH],  filerespl[FILENAMELENGTH];
 double brent(double ax, double bx, double cx, double (*f)(double), double tol,  double *xmin)  char plotcmd[FILENAMELENGTH], pplotcmd[FILENAMELENGTH];
 {  char tmpout[FILENAMELENGTH],  tmpout2[FILENAMELENGTH]; 
   int iter;  char command[FILENAMELENGTH];
   double a,b,d,etemp;  int  outcmd=0;
   double fu,fv,fw,fx;  
   double ftemp;  char fileres[FILENAMELENGTH], filerespij[FILENAMELENGTH], filereso[FILENAMELENGTH], rfileres[FILENAMELENGTH];
   double p,q,r,tol1,tol2,u,v,w,x,xm;  
   double e=0.0;  char filelog[FILENAMELENGTH]; /* Log file */
    char filerest[FILENAMELENGTH];
   a=(ax < cx ? ax : cx);  char fileregp[FILENAMELENGTH];
   b=(ax > cx ? ax : cx);  char popfile[FILENAMELENGTH];
   x=w=v=bx;  
   fw=fv=fx=(*f)(x);  char optionfilegnuplot[FILENAMELENGTH], optionfilehtm[FILENAMELENGTH], optionfilehtmcov[FILENAMELENGTH] ;
   for (iter=1;iter<=ITMAX;iter++) {  
     xm=0.5*(a+b);  struct timeval start_time, end_time, curr_time, last_time, forecast_time;
     tol2=2.0*(tol1=tol*fabs(x)+ZEPS);  struct timezone tzp;
     /*          if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret)))*/  extern int gettimeofday();
     printf(".");fflush(stdout);  struct tm tmg, tm, tmf, *gmtime(), *localtime();
 #ifdef DEBUG  long time_value;
     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);  extern long time();
     /*          if ((fabs(x-xm) <= (tol2-0.5*(b-a)))||(2.0*fabs(fu-ftemp) <= ftol*1.e-2*(fabs(fu)+fabs(ftemp)))) { */  char strcurr[80], strfor[80];
 #endif  
     if (fabs(x-xm) <= (tol2-0.5*(b-a))){  char *endptr;
       *xmin=x;  long lval;
       return fx;  double dval;
     }  
     ftemp=fu;  #define NR_END 1
     if (fabs(e) > tol1) {  #define FREE_ARG char*
       r=(x-w)*(fx-fv);  #define FTOL 1.0e-10
       q=(x-v)*(fx-fw);  
       p=(x-v)*q-(x-w)*r;  #define NRANSI 
       q=2.0*(q-r);  #define ITMAX 200 
       if (q > 0.0) p = -p;  
       q=fabs(q);  #define TOL 2.0e-4 
       etemp=e;  
       e=d;  #define CGOLD 0.3819660 
       if (fabs(p) >= fabs(0.5*q*etemp) || p <= q*(a-x) || p >= q*(b-x))  #define ZEPS 1.0e-10 
         d=CGOLD*(e=(x >= xm ? a-x : b-x));  #define SHFT(a,b,c,d) (a)=(b);(b)=(c);(c)=(d); 
       else {  
         d=p/q;  #define GOLD 1.618034 
         u=x+d;  #define GLIMIT 100.0 
         if (u-a < tol2 || b-u < tol2)  #define TINY 1.0e-20 
           d=SIGN(tol1,xm-x);  
       }  static double maxarg1,maxarg2;
     } else {  #define FMAX(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)>(maxarg2)? (maxarg1):(maxarg2))
       d=CGOLD*(e=(x >= xm ? a-x : b-x));  #define FMIN(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)<(maxarg2)? (maxarg1):(maxarg2))
     }    
     u=(fabs(d) >= tol1 ? x+d : x+SIGN(tol1,d));  #define SIGN(a,b) ((b)>0.0 ? fabs(a) : -fabs(a))
     fu=(*f)(u);  #define rint(a) floor(a+0.5)
     if (fu <= fx) {  
       if (u >= x) a=x; else b=x;  static double sqrarg;
       SHFT(v,w,x,u)  #define SQR(a) ((sqrarg=(a)) == 0.0 ? 0.0 :sqrarg*sqrarg)
         SHFT(fv,fw,fx,fu)  #define SWAP(a,b) {temp=(a);(a)=(b);(b)=temp;} 
         } else {  int agegomp= AGEGOMP;
           if (u < x) a=u; else b=u;  
           if (fu <= fw || w == x) {  int imx; 
             v=w;  int stepm=1;
             w=u;  /* Stepm, step in month: minimum step interpolation*/
             fv=fw;  
             fw=fu;  int estepm;
           } else if (fu <= fv || v == x || v == w) {  /* Estepm, step in month to interpolate survival function in order to approximate Life Expectancy*/
             v=u;  
             fv=fu;  int m,nb;
           }  long *num;
         }  int firstpass=0, lastpass=4,*cod, *ncodemax, *Tage,*cens;
   }  double **agev,*moisnais, *annais, *moisdc, *andc,**mint, **anint;
   nrerror("Too many iterations in brent");  double **pmmij, ***probs;
   *xmin=x;  double *ageexmed,*agecens;
   return fx;  double dateintmean=0;
 }  
   double *weight;
 /****************** mnbrak ***********************/  int **s; /* Status */
   double *agedc, **covar, idx;
 void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, double *fc,  int **nbcode, *Tcode, *Tvar, **codtab, **Tvard, *Tprod, cptcovprod, *Tvaraff;
             double (*func)(double))  double *lsurv, *lpop, *tpop;
 {  
   double ulim,u,r,q, dum;  double ftol=FTOL; /* Tolerance for computing Max Likelihood */
   double fu;  double ftolhess; /* Tolerance for computing hessian */
    
   *fa=(*func)(*ax);  /**************** split *************************/
   *fb=(*func)(*bx);  static  int split( char *path, char *dirc, char *name, char *ext, char *finame )
   if (*fb > *fa) {  {
     SHFT(dum,*ax,*bx,dum)    /* From a file name with (full) path (either Unix or Windows) we extract the directory (dirc)
       SHFT(dum,*fb,*fa,dum)       the name of the file (name), its extension only (ext) and its first part of the name (finame)
       }    */ 
   *cx=(*bx)+GOLD*(*bx-*ax);    char  *ss;                            /* pointer */
   *fc=(*func)(*cx);    int   l1, l2;                         /* length counters */
   while (*fb > *fc) {  
     r=(*bx-*ax)*(*fb-*fc);    l1 = strlen(path );                   /* length of path */
     q=(*bx-*cx)*(*fb-*fa);    if ( l1 == 0 ) return( GLOCK_ERROR_NOPATH );
     u=(*bx)-((*bx-*cx)*q-(*bx-*ax)*r)/    ss= strrchr( path, DIRSEPARATOR );            /* find last / */
       (2.0*SIGN(FMAX(fabs(q-r),TINY),q-r));    if ( ss == NULL ) {                   /* no directory, so determine current directory */
     ulim=(*bx)+GLIMIT*(*cx-*bx);      strcpy( name, path );               /* we got the fullname name because no directory */
     if ((*bx-u)*(u-*cx) > 0.0) {      /*if(strrchr(path, ODIRSEPARATOR )==NULL)
       fu=(*func)(u);        printf("Warning you should use %s as a separator\n",DIRSEPARATOR);*/
     } else if ((*cx-u)*(u-ulim) > 0.0) {      /* get current working directory */
       fu=(*func)(u);      /*    extern  char* getcwd ( char *buf , int len);*/
       if (fu < *fc) {      if ( getcwd( dirc, FILENAME_MAX ) == NULL ) {
         SHFT(*bx,*cx,u,*cx+GOLD*(*cx-*bx))        return( GLOCK_ERROR_GETCWD );
           SHFT(*fb,*fc,fu,(*func)(u))      }
           }      /* got dirc from getcwd*/
     } else if ((u-ulim)*(ulim-*cx) >= 0.0) {      printf(" DIRC = %s \n",dirc);
       u=ulim;    } else {                              /* strip direcotry from path */
       fu=(*func)(u);      ss++;                               /* after this, the filename */
     } else {      l2 = strlen( ss );                  /* length of filename */
       u=(*cx)+GOLD*(*cx-*bx);      if ( l2 == 0 ) return( GLOCK_ERROR_NOPATH );
       fu=(*func)(u);      strcpy( name, ss );         /* save file name */
     }      strncpy( dirc, path, l1 - l2 );     /* now the directory */
     SHFT(*ax,*bx,*cx,u)      dirc[l1-l2] = 0;                    /* add zero */
       SHFT(*fa,*fb,*fc,fu)      printf(" DIRC2 = %s \n",dirc);
       }    }
 }    /* We add a separator at the end of dirc if not exists */
     l1 = strlen( dirc );                  /* length of directory */
 /*************** linmin ************************/    if( dirc[l1-1] != DIRSEPARATOR ){
       dirc[l1] =  DIRSEPARATOR;
 int ncom;      dirc[l1+1] = 0; 
 double *pcom,*xicom;      printf(" DIRC3 = %s \n",dirc);
 double (*nrfunc)(double []);    }
      ss = strrchr( name, '.' );            /* find last / */
 void linmin(double p[], double xi[], int n, double *fret,double (*func)(double []))    if (ss >0){
 {      ss++;
   double brent(double ax, double bx, double cx,      strcpy(ext,ss);                     /* save extension */
                double (*f)(double), double tol, double *xmin);      l1= strlen( name);
   double f1dim(double x);      l2= strlen(ss)+1;
   void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb,      strncpy( finame, name, l1-l2);
               double *fc, double (*func)(double));      finame[l1-l2]= 0;
   int j;    }
   double xx,xmin,bx,ax;  
   double fx,fb,fa;    return( 0 );                          /* we're done */
    }
   ncom=n;  
   pcom=vector(1,n);  
   xicom=vector(1,n);  /******************************************/
   nrfunc=func;  
   for (j=1;j<=n;j++) {  void replace_back_to_slash(char *s, char*t)
     pcom[j]=p[j];  {
     xicom[j]=xi[j];    int i;
   }    int lg=0;
   ax=0.0;    i=0;
   xx=1.0;    lg=strlen(t);
   mnbrak(&ax,&xx,&bx,&fa,&fx,&fb,f1dim);    for(i=0; i<= lg; i++) {
   *fret=brent(ax,xx,bx,f1dim,TOL,&xmin);      (s[i] = t[i]);
 #ifdef DEBUG      if (t[i]== '\\') s[i]='/';
   printf("retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);    }
 #endif  }
   for (j=1;j<=n;j++) {  
     xi[j] *= xmin;  int nbocc(char *s, char occ)
     p[j] += xi[j];  {
   }    int i,j=0;
   free_vector(xicom,1,n);    int lg=20;
   free_vector(pcom,1,n);    i=0;
 }    lg=strlen(s);
     for(i=0; i<= lg; i++) {
 /*************** powell ************************/    if  (s[i] == occ ) j++;
 void powell(double p[], double **xi, int n, double ftol, int *iter, double *fret,    }
             double (*func)(double []))    return j;
 {  }
   void linmin(double p[], double xi[], int n, double *fret,  
               double (*func)(double []));  void cutv(char *u,char *v, char*t, char occ)
   int i,ibig,j;  {
   double del,t,*pt,*ptt,*xit;    /* cuts string t into u and v where u ends before first occurence of char 'occ' 
   double fp,fptt;       and v starts after first occurence of char 'occ' : ex cutv(u,v,"abcdef2ghi2j",'2')
   double *xits;       gives u="abcedf" and v="ghi2j" */
   pt=vector(1,n);    int i,lg,j,p=0;
   ptt=vector(1,n);    i=0;
   xit=vector(1,n);    for(j=0; j<=strlen(t)-1; j++) {
   xits=vector(1,n);      if((t[j]!= occ) && (t[j+1]== occ)) p=j+1;
   *fret=(*func)(p);    }
   for (j=1;j<=n;j++) pt[j]=p[j];  
   for (*iter=1;;++(*iter)) {    lg=strlen(t);
     fp=(*fret);    for(j=0; j<p; j++) {
     ibig=0;      (u[j] = t[j]);
     del=0.0;    }
     printf("\nPowell iter=%d -2*LL=%.12f",*iter,*fret);       u[p]='\0';
     for (i=1;i<=n;i++)  
       printf(" %d %.12f",i, p[i]);     for(j=0; j<= lg; j++) {
     printf("\n");      if (j>=(p+1))(v[j-p-1] = t[j]);
     for (i=1;i<=n;i++) {    }
       for (j=1;j<=n;j++) xit[j]=xi[j][i];  }
       fptt=(*fret);  
 #ifdef DEBUG  /********************** nrerror ********************/
       printf("fret=%lf \n",*fret);  
 #endif  void nrerror(char error_text[])
       printf("%d",i);fflush(stdout);  {
       linmin(p,xit,n,fret,func);    fprintf(stderr,"ERREUR ...\n");
       if (fabs(fptt-(*fret)) > del) {    fprintf(stderr,"%s\n",error_text);
         del=fabs(fptt-(*fret));    exit(EXIT_FAILURE);
         ibig=i;  }
       }  /*********************** vector *******************/
 #ifdef DEBUG  double *vector(int nl, int nh)
       printf("%d %.12e",i,(*fret));  {
       for (j=1;j<=n;j++) {    double *v;
         xits[j]=FMAX(fabs(p[j]-pt[j]),1.e-5);    v=(double *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(double)));
         printf(" x(%d)=%.12e",j,xit[j]);    if (!v) nrerror("allocation failure in vector");
       }    return v-nl+NR_END;
       for(j=1;j<=n;j++)  }
         printf(" p=%.12e",p[j]);  
       printf("\n");  /************************ free vector ******************/
 #endif  void free_vector(double*v, int nl, int nh)
     }  {
     if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret))) {    free((FREE_ARG)(v+nl-NR_END));
 #ifdef DEBUG  }
       int k[2],l;  
       k[0]=1;  /************************ivector *******************************/
       k[1]=-1;  int *ivector(long nl,long nh)
       printf("Max: %.12e",(*func)(p));  {
       for (j=1;j<=n;j++)    int *v;
         printf(" %.12e",p[j]);    v=(int *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(int)));
       printf("\n");    if (!v) nrerror("allocation failure in ivector");
       for(l=0;l<=1;l++) {    return v-nl+NR_END;
         for (j=1;j<=n;j++) {  }
           ptt[j]=p[j]+(p[j]-pt[j])*k[l];  
           printf("l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);  /******************free ivector **************************/
         }  void free_ivector(int *v, long nl, long nh)
         printf("func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));  {
       }    free((FREE_ARG)(v+nl-NR_END));
 #endif  }
   
   /************************lvector *******************************/
       free_vector(xit,1,n);  long *lvector(long nl,long nh)
       free_vector(xits,1,n);  {
       free_vector(ptt,1,n);    long *v;
       free_vector(pt,1,n);    v=(long *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(long)));
       return;    if (!v) nrerror("allocation failure in ivector");
     }    return v-nl+NR_END;
     if (*iter == ITMAX) nrerror("powell exceeding maximum iterations.");  }
     for (j=1;j<=n;j++) {  
       ptt[j]=2.0*p[j]-pt[j];  /******************free lvector **************************/
       xit[j]=p[j]-pt[j];  void free_lvector(long *v, long nl, long nh)
       pt[j]=p[j];  {
     }    free((FREE_ARG)(v+nl-NR_END));
     fptt=(*func)(ptt);  }
     if (fptt < fp) {  
       t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)-del*SQR(fp-fptt);  /******************* imatrix *******************************/
       if (t < 0.0) {  int **imatrix(long nrl, long nrh, long ncl, long nch) 
         linmin(p,xit,n,fret,func);       /* allocate a int matrix with subscript range m[nrl..nrh][ncl..nch] */ 
         for (j=1;j<=n;j++) {  { 
           xi[j][ibig]=xi[j][n];    long i, nrow=nrh-nrl+1,ncol=nch-ncl+1; 
           xi[j][n]=xit[j];    int **m; 
         }    
 #ifdef DEBUG    /* allocate pointers to rows */ 
         printf("Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);    m=(int **) malloc((size_t)((nrow+NR_END)*sizeof(int*))); 
         for(j=1;j<=n;j++)    if (!m) nrerror("allocation failure 1 in matrix()"); 
           printf(" %.12e",xit[j]);    m += NR_END; 
         printf("\n");    m -= nrl; 
 #endif    
       }    
     }    /* allocate rows and set pointers to them */ 
   }    m[nrl]=(int *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(int))); 
 }    if (!m[nrl]) nrerror("allocation failure 2 in matrix()"); 
     m[nrl] += NR_END; 
 /**** Prevalence limit ****************/    m[nrl] -= ncl; 
     
 double **prevalim(double **prlim, int nlstate, double x[], double age, double **oldm, double **savm, double ftolpl, int ij)    for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol; 
 {    
   /* Computes the prevalence limit in each live state at age x by left multiplying the unit    /* return pointer to array of pointers to rows */ 
      matrix by transitions matrix until convergence is reached */    return m; 
   } 
   int i, ii,j,k;  
   double min, max, maxmin, maxmax,sumnew=0.;  /****************** free_imatrix *************************/
   double **matprod2();  void free_imatrix(m,nrl,nrh,ncl,nch)
   double **out, cov[NCOVMAX], **pmij();        int **m;
   double **newm;        long nch,ncl,nrh,nrl; 
   double agefin, delaymax=50 ; /* Max number of years to converge */       /* free an int matrix allocated by imatrix() */ 
   { 
   for (ii=1;ii<=nlstate+ndeath;ii++)    free((FREE_ARG) (m[nrl]+ncl-NR_END)); 
     for (j=1;j<=nlstate+ndeath;j++){    free((FREE_ARG) (m+nrl-NR_END)); 
       oldm[ii][j]=(ii==j ? 1.0 : 0.0);  } 
     }  
   /******************* matrix *******************************/
    cov[1]=1.;  double **matrix(long nrl, long nrh, long ncl, long nch)
    {
  /* Even if hstepm = 1, at least one multiplication by the unit matrix */    long i, nrow=nrh-nrl+1, ncol=nch-ncl+1;
   for(agefin=age-stepm/YEARM; agefin>=age-delaymax; agefin=agefin-stepm/YEARM){    double **m;
     newm=savm;  
     /* Covariates have to be included here again */    m=(double **) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
      cov[2]=agefin;    if (!m) nrerror("allocation failure 1 in matrix()");
      m += NR_END;
       for (k=1; k<=cptcovn;k++) {    m -= nrl;
         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]]);*/    m[nrl]=(double *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
       }    if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
       for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2];    m[nrl] += NR_END;
       for (k=1; k<=cptcovprod;k++)    m[nrl] -= ncl;
         cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]]*nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]];  
     for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
       /*printf("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/    return m;
       /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/    /* print *(*(m+1)+70) or print m[1][70]; print m+1 or print &(m[1]) 
       /*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);  }
   
     savm=oldm;  /*************************free matrix ************************/
     oldm=newm;  void free_matrix(double **m, long nrl, long nrh, long ncl, long nch)
     maxmax=0.;  {
     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;  /******************* ma3x *******************************/
         for(k=1; k<=ndeath; k++) sumnew+=newm[i][nlstate+k];  double ***ma3x(long nrl, long nrh, long ncl, long nch, long nll, long nlh)
         prlim[i][j]= newm[i][j]/(1-sumnew);  {
         max=FMAX(max,prlim[i][j]);    long i, j, nrow=nrh-nrl+1, ncol=nch-ncl+1, nlay=nlh-nll+1;
         min=FMIN(min,prlim[i][j]);    double ***m;
       }  
       maxmin=max-min;    m=(double ***) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
       maxmax=FMAX(maxmax,maxmin);    if (!m) nrerror("allocation failure 1 in matrix()");
     }    m += NR_END;
     if(maxmax < ftolpl){    m -= nrl;
       return prlim;  
     }    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;
     m[nrl] -= ncl;
 /*************** transition probabilities ***************/  
     for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
 double **pmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )  
 {    m[nrl][ncl]=(double *) malloc((size_t)((nrow*ncol*nlay+NR_END)*sizeof(double)));
   double s1, s2;    if (!m[nrl][ncl]) nrerror("allocation failure 3 in matrix()");
   /*double t34;*/    m[nrl][ncl] += NR_END;
   int i,j,j1, nc, ii, jj;    m[nrl][ncl] -= nll;
     for (j=ncl+1; j<=nch; j++) 
     for(i=1; i<= nlstate; i++){      m[nrl][j]=m[nrl][j-1]+nlay;
     for(j=1; j<i;j++){    
       for (nc=1, s2=0.;nc <=ncovmodel; nc++){    for (i=nrl+1; i<=nrh; i++) {
         /*s2 += param[i][j][nc]*cov[nc];*/      m[i][ncl]=m[i-1l][ncl]+ncol*nlay;
         s2 += x[(i-1)*nlstate*ncovmodel+(j-1)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];      for (j=ncl+1; j<=nch; j++) 
         /*printf("Int j<i s1=%.17e, s2=%.17e\n",s1,s2);*/        m[i][j]=m[i][j-1]+nlay;
       }    }
       ps[i][j]=s2;    return m; 
       /*printf("s1=%.17e, s2=%.17e\n",s1,s2);*/    /*  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)
     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];  
         /*printf("Int j>i s1=%.17e, s2=%.17e %lx %lx\n",s1,s2,s1,s2);*/  /*************************free ma3x ************************/
       }  void free_ma3x(double ***m, long nrl, long nrh, long ncl, long nch,long nll, long nlh)
       ps[i][j]=s2;  {
     }    free((FREE_ARG)(m[nrl][ncl]+ nll-NR_END));
   }    free((FREE_ARG)(m[nrl]+ncl-NR_END));
     /*ps[3][2]=1;*/    free((FREE_ARG)(m+nrl-NR_END));
   }
   for(i=1; i<= nlstate; i++){  
      s1=0;  /*************** function subdirf ***********/
     for(j=1; j<i; j++)  char *subdirf(char fileres[])
       s1+=exp(ps[i][j]);  {
     for(j=i+1; j<=nlstate+ndeath; j++)    /* Caution optionfilefiname is hidden */
       s1+=exp(ps[i][j]);    strcpy(tmpout,optionfilefiname);
     ps[i][i]=1./(s1+1.);    strcat(tmpout,"/"); /* Add to the right */
     for(j=1; j<i; j++)    strcat(tmpout,fileres);
       ps[i][j]= exp(ps[i][j])*ps[i][i];    return tmpout;
     for(j=i+1; j<=nlstate+ndeath; j++)  }
       ps[i][j]= exp(ps[i][j])*ps[i][i];  
     /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */  /*************** function subdirf2 ***********/
   } /* end i */  char *subdirf2(char fileres[], char *preop)
   {
   for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){    
     for(jj=1; jj<= nlstate+ndeath; jj++){    /* Caution optionfilefiname is hidden */
       ps[ii][jj]=0;    strcpy(tmpout,optionfilefiname);
       ps[ii][ii]=1;    strcat(tmpout,"/");
     }    strcat(tmpout,preop);
   }    strcat(tmpout,fileres);
     return tmpout;
   }
   /*   for(ii=1; ii<= nlstate+ndeath; ii++){  
     for(jj=1; jj<= nlstate+ndeath; jj++){  /*************** function subdirf3 ***********/
      printf("%lf ",ps[ii][jj]);  char *subdirf3(char fileres[], char *preop, char *preop2)
    }  {
     printf("\n ");    
     }    /* Caution optionfilefiname is hidden */
     printf("\n ");printf("%lf ",cov[2]);*/    strcpy(tmpout,optionfilefiname);
 /*    strcat(tmpout,"/");
   for(i=1; i<= npar; i++) printf("%f ",x[i]);    strcat(tmpout,preop);
   goto end;*/    strcat(tmpout,preop2);
     return ps;    strcat(tmpout,fileres);
 }    return tmpout;
   }
 /**************** Product of 2 matrices ******************/  
   /***************** f1dim *************************/
 double **matprod2(double **out, double **in,long nrl, long nrh, long ncl, long nch, long ncolol, long ncoloh, double **b)  extern int ncom; 
 {  extern double *pcom,*xicom;
   /* Computes the matrix product of in(1,nrh-nrl+1)(1,nch-ncl+1) times  extern double (*nrfunc)(double []); 
      b(1,nch-ncl+1)(1,ncoloh-ncolol+1) into out(...) */   
   /* in, b, out are matrice of pointers which should have been initialized  double f1dim(double x) 
      before: only the contents of out is modified. The function returns  { 
      a pointer to pointers identical to out */    int j; 
   long i, j, k;    double f;
   for(i=nrl; i<= nrh; i++)    double *xt; 
     for(k=ncolol; k<=ncoloh; k++)   
       for(j=ncl,out[i][k]=0.; j<=nch; j++)    xt=vector(1,ncom); 
         out[i][k] +=in[i][j]*b[j][k];    for (j=1;j<=ncom;j++) xt[j]=pcom[j]+x*xicom[j]; 
     f=(*nrfunc)(xt); 
   return out;    free_vector(xt,1,ncom); 
 }    return f; 
   } 
   
 /************* Higher Matrix Product ***************/  /*****************brent *************************/
   double brent(double ax, double bx, double cx, double (*f)(double), double tol,  double *xmin) 
 double ***hpxij(double ***po, int nhstepm, double age, int hstepm, double *x, int nlstate, int stepm, double **oldm, double **savm, int ij )  { 
 {    int iter; 
   /* Computes the transition matrix starting at age 'age' over 'nhstepm*hstepm*stepm' month    double a,b,d,etemp;
      duration (i.e. until    double fu,fv,fw,fx;
      age (in years)  age+nhstepm*stepm/12) by multiplying nhstepm*hstepm matrices.    double ftemp;
      Output is stored in matrix po[i][j][h] for h every 'hstepm' step    double p,q,r,tol1,tol2,u,v,w,x,xm; 
      (typically every 2 years instead of every month which is too big).    double e=0.0; 
      Model is determined by parameters x and covariates have to be   
      included manually here.    a=(ax < cx ? ax : cx); 
     b=(ax > cx ? ax : cx); 
      */    x=w=v=bx; 
     fw=fv=fx=(*f)(x); 
   int i, j, d, h, k;    for (iter=1;iter<=ITMAX;iter++) { 
   double **out, cov[NCOVMAX];      xm=0.5*(a+b); 
   double **newm;      tol2=2.0*(tol1=tol*fabs(x)+ZEPS); 
       /*          if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret)))*/
   /* Hstepm could be zero and should return the unit matrix */      printf(".");fflush(stdout);
   for (i=1;i<=nlstate+ndeath;i++)      fprintf(ficlog,".");fflush(ficlog);
     for (j=1;j<=nlstate+ndeath;j++){  #ifdef DEBUG
       oldm[i][j]=(i==j ? 1.0 : 0.0);      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);
       po[i][j][0]=(i==j ? 1.0 : 0.0);      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)))) { */
   /* Even if hstepm = 1, at least one multiplication by the unit matrix */  #endif
   for(h=1; h <=nhstepm; h++){      if (fabs(x-xm) <= (tol2-0.5*(b-a))){ 
     for(d=1; d <=hstepm; d++){        *xmin=x; 
       newm=savm;        return fx; 
       /* Covariates have to be included here again */      } 
       cov[1]=1.;      ftemp=fu;
       cov[2]=age+((h-1)*hstepm + (d-1))*stepm/YEARM;      if (fabs(e) > tol1) { 
       for (k=1; k<=cptcovn;k++) cov[2+k]=nbcode[Tvar[k]][codtab[ij][Tvar[k]]];        r=(x-w)*(fx-fv); 
       for (k=1; k<=cptcovage;k++)        q=(x-v)*(fx-fw); 
         cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2];        p=(x-v)*q-(x-w)*r; 
       for (k=1; k<=cptcovprod;k++)        q=2.0*(q-r); 
         cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]]*nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]];        if (q > 0.0) p = -p; 
         q=fabs(q); 
         etemp=e; 
       /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/        e=d; 
       /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/        if (fabs(p) >= fabs(0.5*q*etemp) || p <= q*(a-x) || p >= q*(b-x)) 
       out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath,          d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
                    pmij(pmmij,cov,ncovmodel,x,nlstate));        else { 
       savm=oldm;          d=p/q; 
       oldm=newm;          u=x+d; 
     }          if (u-a < tol2 || b-u < tol2) 
     for(i=1; i<=nlstate+ndeath; i++)            d=SIGN(tol1,xm-x); 
       for(j=1;j<=nlstate+ndeath;j++) {        } 
         po[i][j][h]=newm[i][j];      } else { 
         /*printf("i=%d j=%d h=%d po[i][j][h]=%f ",i,j,h,po[i][j][h]);        d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
          */      } 
       }      u=(fabs(d) >= tol1 ? x+d : x+SIGN(tol1,d)); 
   } /* end h */      fu=(*f)(u); 
   return po;      if (fu <= fx) { 
 }        if (u >= x) a=x; else b=x; 
         SHFT(v,w,x,u) 
           SHFT(fv,fw,fx,fu) 
 /*************** log-likelihood *************/          } else { 
 double func( double *x)            if (u < x) a=u; else b=u; 
 {            if (fu <= fw || w == x) { 
   int i, ii, j, k, mi, d, kk;              v=w; 
   double l, ll[NLSTATEMAX], cov[NCOVMAX];              w=u; 
   double **out;              fv=fw; 
   double sw; /* Sum of weights */              fw=fu; 
   double lli; /* Individual log likelihood */            } else if (fu <= fv || v == x || v == w) { 
   long ipmx;              v=u; 
   /*extern weight */              fv=fu; 
   /* We are differentiating ll according to initial status */            } 
   /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/          } 
   /*for(i=1;i<imx;i++)    } 
     printf(" %d\n",s[4][i]);    nrerror("Too many iterations in brent"); 
   */    *xmin=x; 
   cov[1]=1.;    return fx; 
   } 
   for(k=1; k<=nlstate; k++) ll[k]=0.;  
   for (i=1,ipmx=0, sw=0.; i<=imx; i++){  /****************** mnbrak ***********************/
     for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];  
     for(mi=1; mi<= wav[i]-1; mi++){  void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, double *fc, 
       for (ii=1;ii<=nlstate+ndeath;ii++)              double (*func)(double)) 
         for (j=1;j<=nlstate+ndeath;j++) oldm[ii][j]=(ii==j ? 1.0 : 0.0);  { 
       for(d=0; d<dh[mi][i]; d++){    double ulim,u,r,q, dum;
         newm=savm;    double fu; 
         cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;   
         for (kk=1; kk<=cptcovage;kk++) {    *fa=(*func)(*ax); 
           cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];    *fb=(*func)(*bx); 
         }    if (*fb > *fa) { 
              SHFT(dum,*ax,*bx,dum) 
         out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,        SHFT(dum,*fb,*fa,dum) 
                      1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));        } 
         savm=oldm;    *cx=(*bx)+GOLD*(*bx-*ax); 
         oldm=newm;    *fc=(*func)(*cx); 
            while (*fb > *fc) { 
              r=(*bx-*ax)*(*fb-*fc); 
       } /* end mult */      q=(*bx-*cx)*(*fb-*fa); 
            u=(*bx)-((*bx-*cx)*q-(*bx-*ax)*r)/ 
       lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);        (2.0*SIGN(FMAX(fabs(q-r),TINY),q-r)); 
       /* printf(" %f ",out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);*/      ulim=(*bx)+GLIMIT*(*cx-*bx); 
       ipmx +=1;      if ((*bx-u)*(u-*cx) > 0.0) { 
       sw += weight[i];        fu=(*func)(u); 
       ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;      } else if ((*cx-u)*(u-ulim) > 0.0) { 
     } /* end of wave */        fu=(*func)(u); 
   } /* end of individual */        if (fu < *fc) { 
           SHFT(*bx,*cx,u,*cx+GOLD*(*cx-*bx)) 
   for(k=1,l=0.; k<=nlstate; k++) l += ll[k];            SHFT(*fb,*fc,fu,(*func)(u)) 
   /* printf("l1=%f l2=%f ",ll[1],ll[2]); */            } 
   l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */      } else if ((u-ulim)*(ulim-*cx) >= 0.0) { 
   return -l;        u=ulim; 
 }        fu=(*func)(u); 
       } else { 
         u=(*cx)+GOLD*(*cx-*bx); 
 /*********** Maximum Likelihood Estimation ***************/        fu=(*func)(u); 
       } 
 void mlikeli(FILE *ficres,double p[], int npar, int ncovmodel, int nlstate, double ftol, double (*func)(double []))      SHFT(*ax,*bx,*cx,u) 
 {        SHFT(*fa,*fb,*fc,fu) 
   int i,j, iter;        } 
   double **xi,*delti;  } 
   double fret;  
   xi=matrix(1,npar,1,npar);  /*************** linmin ************************/
   for (i=1;i<=npar;i++)  
     for (j=1;j<=npar;j++)  int ncom; 
       xi[i][j]=(i==j ? 1.0 : 0.0);  double *pcom,*xicom;
   printf("Powell\n");  double (*nrfunc)(double []); 
   powell(p,xi,npar,ftol,&iter,&fret,func);   
   void linmin(double p[], double xi[], int n, double *fret,double (*func)(double [])) 
    printf("\n#Number of iterations = %d, -2 Log likelihood = %.12f\n",iter,func(p));  { 
   fprintf(ficres,"#Number of iterations = %d, -2 Log likelihood = %.12f \n",iter,func(p));    double brent(double ax, double bx, double cx, 
                  double (*f)(double), double tol, double *xmin); 
 }    double f1dim(double x); 
     void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, 
 /**** Computes Hessian and covariance matrix ***/                double *fc, double (*func)(double)); 
 void hesscov(double **matcov, double p[], int npar, double delti[], double ftolhess, double (*func)(double []))    int j; 
 {    double xx,xmin,bx,ax; 
   double  **a,**y,*x,pd;    double fx,fb,fa;
   double **hess;   
   int i, j,jk;    ncom=n; 
   int *indx;    pcom=vector(1,n); 
     xicom=vector(1,n); 
   double hessii(double p[], double delta, int theta, double delti[]);    nrfunc=func; 
   double hessij(double p[], double delti[], int i, int j);    for (j=1;j<=n;j++) { 
   void lubksb(double **a, int npar, int *indx, double b[]) ;      pcom[j]=p[j]; 
   void ludcmp(double **a, int npar, int *indx, double *d) ;      xicom[j]=xi[j]; 
     } 
   hess=matrix(1,npar,1,npar);    ax=0.0; 
     xx=1.0; 
   printf("\nCalculation of the hessian matrix. Wait...\n");    mnbrak(&ax,&xx,&bx,&fa,&fx,&fb,f1dim); 
   for (i=1;i<=npar;i++){    *fret=brent(ax,xx,bx,f1dim,TOL,&xmin); 
     printf("%d",i);fflush(stdout);  #ifdef DEBUG
     hess[i][i]=hessii(p,ftolhess,i,delti);    printf("retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);
     /*printf(" %f ",p[i]);*/    fprintf(ficlog,"retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);
     /*printf(" %lf ",hess[i][i]);*/  #endif
   }    for (j=1;j<=n;j++) { 
        xi[j] *= xmin; 
   for (i=1;i<=npar;i++) {      p[j] += xi[j]; 
     for (j=1;j<=npar;j++)  {    } 
       if (j>i) {    free_vector(xicom,1,n); 
         printf(".%d%d",i,j);fflush(stdout);    free_vector(pcom,1,n); 
         hess[i][j]=hessij(p,delti,i,j);  } 
         hess[j][i]=hess[i][j];      
         /*printf(" %lf ",hess[i][j]);*/  char *asc_diff_time(long time_sec, char ascdiff[])
       }  {
     }    long sec_left, days, hours, minutes;
   }    days = (time_sec) / (60*60*24);
   printf("\n");    sec_left = (time_sec) % (60*60*24);
     hours = (sec_left) / (60*60) ;
   printf("\nInverting the hessian to get the covariance matrix. Wait...\n");    sec_left = (sec_left) %(60*60);
      minutes = (sec_left) /60;
   a=matrix(1,npar,1,npar);    sec_left = (sec_left) % (60);
   y=matrix(1,npar,1,npar);    sprintf(ascdiff,"%d day(s) %d hour(s) %d minute(s) %d second(s)",days, hours, minutes, sec_left);  
   x=vector(1,npar);    return ascdiff;
   indx=ivector(1,npar);  }
   for (i=1;i<=npar;i++)  
     for (j=1;j<=npar;j++) a[i][j]=hess[i][j];  /*************** powell ************************/
   ludcmp(a,npar,indx,&pd);  void powell(double p[], double **xi, int n, double ftol, int *iter, double *fret, 
               double (*func)(double [])) 
   for (j=1;j<=npar;j++) {  { 
     for (i=1;i<=npar;i++) x[i]=0;    void linmin(double p[], double xi[], int n, double *fret, 
     x[j]=1;                double (*func)(double [])); 
     lubksb(a,npar,indx,x);    int i,ibig,j; 
     for (i=1;i<=npar;i++){    double del,t,*pt,*ptt,*xit;
       matcov[i][j]=x[i];    double fp,fptt;
     }    double *xits;
   }    int niterf, itmp;
   
   printf("\n#Hessian matrix#\n");    pt=vector(1,n); 
   for (i=1;i<=npar;i++) {    ptt=vector(1,n); 
     for (j=1;j<=npar;j++) {    xit=vector(1,n); 
       printf("%.3e ",hess[i][j]);    xits=vector(1,n); 
     }    *fret=(*func)(p); 
     printf("\n");    for (j=1;j<=n;j++) pt[j]=p[j]; 
   }    for (*iter=1;;++(*iter)) { 
       fp=(*fret); 
   /* Recompute Inverse */      ibig=0; 
   for (i=1;i<=npar;i++)      del=0.0; 
     for (j=1;j<=npar;j++) a[i][j]=matcov[i][j];      last_time=curr_time;
   ludcmp(a,npar,indx,&pd);      (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);
   /*  printf("\n#Hessian matrix recomputed#\n");      /*    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);
       fprintf(ficrespow,"%d %.12f %ld",*iter,*fret,curr_time.tv_sec-start_time.tv_sec);
   for (j=1;j<=npar;j++) {      */
     for (i=1;i<=npar;i++) x[i]=0;     for (i=1;i<=n;i++) {
     x[j]=1;        printf(" %d %.12f",i, p[i]);
     lubksb(a,npar,indx,x);        fprintf(ficlog," %d %.12lf",i, p[i]);
     for (i=1;i<=npar;i++){        fprintf(ficrespow," %.12lf", p[i]);
       y[i][j]=x[i];      }
       printf("%.3e ",y[i][j]);      printf("\n");
     }      fprintf(ficlog,"\n");
     printf("\n");      fprintf(ficrespow,"\n");fflush(ficrespow);
   }      if(*iter <=3){
   */        tm = *localtime(&curr_time.tv_sec);
         strcpy(strcurr,asctime(&tm));
   free_matrix(a,1,npar,1,npar);  /*       asctime_r(&tm,strcurr); */
   free_matrix(y,1,npar,1,npar);        forecast_time=curr_time; 
   free_vector(x,1,npar);        itmp = strlen(strcurr);
   free_ivector(indx,1,npar);        if(strcurr[itmp-1]=='\n')  /* Windows outputs with a new line */
   free_matrix(hess,1,npar,1,npar);          strcurr[itmp-1]='\0';
         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(niterf=10;niterf<=30;niterf+=10){
           forecast_time.tv_sec=curr_time.tv_sec+(niterf-*iter)*(curr_time.tv_sec-last_time.tv_sec);
 /*************** hessian matrix ****************/          tmf = *localtime(&forecast_time.tv_sec);
 double hessii( double x[], double delta, int theta, double delti[])  /*      asctime_r(&tmf,strfor); */
 {          strcpy(strfor,asctime(&tmf));
   int i;          itmp = strlen(strfor);
   int l=1, lmax=20;          if(strfor[itmp-1]=='\n')
   double k1,k2;          strfor[itmp-1]='\0';
   double p2[NPARMAX+1];          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);
   double res;          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);
   double delt, delts, nkhi=10.,nkhif=1., khi=1.e-4;        }
   double fx;      }
   int k=0,kmax=10;      for (i=1;i<=n;i++) { 
   double l1;        for (j=1;j<=n;j++) xit[j]=xi[j][i]; 
         fptt=(*fret); 
   fx=func(x);  #ifdef DEBUG
   for (i=1;i<=npar;i++) p2[i]=x[i];        printf("fret=%lf \n",*fret);
   for(l=0 ; l <=lmax; l++){        fprintf(ficlog,"fret=%lf \n",*fret);
     l1=pow(10,l);  #endif
     delts=delt;        printf("%d",i);fflush(stdout);
     for(k=1 ; k <kmax; k=k+1){        fprintf(ficlog,"%d",i);fflush(ficlog);
       delt = delta*(l1*k);        linmin(p,xit,n,fret,func); 
       p2[theta]=x[theta] +delt;        if (fabs(fptt-(*fret)) > del) { 
       k1=func(p2)-fx;          del=fabs(fptt-(*fret)); 
       p2[theta]=x[theta]-delt;          ibig=i; 
       k2=func(p2)-fx;        } 
       /*res= (k1-2.0*fx+k2)/delt/delt; */  #ifdef DEBUG
       res= (k1+k2)/delt/delt/2.; /* Divided by because L and not 2*L */        printf("%d %.12e",i,(*fret));
              fprintf(ficlog,"%d %.12e",i,(*fret));
 #ifdef DEBUG        for (j=1;j<=n;j++) {
       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);          xits[j]=FMAX(fabs(p[j]-pt[j]),1.e-5);
 #endif          printf(" x(%d)=%.12e",j,xit[j]);
       /*if(fabs(k1-2.0*fx+k2) <1.e-13){ */          fprintf(ficlog," x(%d)=%.12e",j,xit[j]);
       if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)){        }
         k=kmax;        for(j=1;j<=n;j++) {
       }          printf(" p=%.12e",p[j]);
       else if((k1 >khi/nkhif) || (k2 >khi/nkhif)){ /* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. */          fprintf(ficlog," p=%.12e",p[j]);
         k=kmax; l=lmax*10.;        }
       }        printf("\n");
       else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){        fprintf(ficlog,"\n");
         delts=delt;  #endif
       }      } 
     }      if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret))) {
   }  #ifdef DEBUG
   delti[theta]=delts;        int k[2],l;
   return res;        k[0]=1;
          k[1]=-1;
 }        printf("Max: %.12e",(*func)(p));
         fprintf(ficlog,"Max: %.12e",(*func)(p));
 double hessij( double x[], double delti[], int thetai,int thetaj)        for (j=1;j<=n;j++) {
 {          printf(" %.12e",p[j]);
   int i;          fprintf(ficlog," %.12e",p[j]);
   int l=1, l1, lmax=20;        }
   double k1,k2,k3,k4,res,fx;        printf("\n");
   double p2[NPARMAX+1];        fprintf(ficlog,"\n");
   int k;        for(l=0;l<=1;l++) {
           for (j=1;j<=n;j++) {
   fx=func(x);            ptt[j]=p[j]+(p[j]-pt[j])*k[l];
   for (k=1; k<=2; k++) {            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]);
     p2[thetai]=x[thetai]+delti[thetai]/k;          }
     p2[thetaj]=x[thetaj]+delti[thetaj]/k;          printf("func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
     k1=func(p2)-fx;          fprintf(ficlog,"func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
          }
     p2[thetai]=x[thetai]+delti[thetai]/k;  #endif
     p2[thetaj]=x[thetaj]-delti[thetaj]/k;  
     k2=func(p2)-fx;  
          free_vector(xit,1,n); 
     p2[thetai]=x[thetai]-delti[thetai]/k;        free_vector(xits,1,n); 
     p2[thetaj]=x[thetaj]+delti[thetaj]/k;        free_vector(ptt,1,n); 
     k3=func(p2)-fx;        free_vector(pt,1,n); 
          return; 
     p2[thetai]=x[thetai]-delti[thetai]/k;      } 
     p2[thetaj]=x[thetaj]-delti[thetaj]/k;      if (*iter == ITMAX) nrerror("powell exceeding maximum iterations."); 
     k4=func(p2)-fx;      for (j=1;j<=n;j++) { 
     res=(k1-k2-k3+k4)/4.0/delti[thetai]*k/delti[thetaj]*k/2.; /* Because of L not 2*L */        ptt[j]=2.0*p[j]-pt[j]; 
 #ifdef DEBUG        xit[j]=p[j]-pt[j]; 
     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);        pt[j]=p[j]; 
 #endif      } 
   }      fptt=(*func)(ptt); 
   return res;      if (fptt < fp) { 
 }        t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)-del*SQR(fp-fptt); 
         if (t < 0.0) { 
 /************** Inverse of matrix **************/          linmin(p,xit,n,fret,func); 
 void ludcmp(double **a, int n, int *indx, double *d)          for (j=1;j<=n;j++) { 
 {            xi[j][ibig]=xi[j][n]; 
   int i,imax,j,k;            xi[j][n]=xit[j]; 
   double big,dum,sum,temp;          }
   double *vv;  #ifdef DEBUG
            printf("Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
   vv=vector(1,n);          fprintf(ficlog,"Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
   *d=1.0;          for(j=1;j<=n;j++){
   for (i=1;i<=n;i++) {            printf(" %.12e",xit[j]);
     big=0.0;            fprintf(ficlog," %.12e",xit[j]);
     for (j=1;j<=n;j++)          }
       if ((temp=fabs(a[i][j])) > big) big=temp;          printf("\n");
     if (big == 0.0) nrerror("Singular matrix in routine ludcmp");          fprintf(ficlog,"\n");
     vv[i]=1.0/big;  #endif
   }        }
   for (j=1;j<=n;j++) {      } 
     for (i=1;i<j;i++) {    } 
       sum=a[i][j];  } 
       for (k=1;k<i;k++) sum -= a[i][k]*a[k][j];  
       a[i][j]=sum;  /**** Prevalence limit (stable or period prevalence)  ****************/
     }  
     big=0.0;  double **prevalim(double **prlim, int nlstate, double x[], double age, double **oldm, double **savm, double ftolpl, int ij)
     for (i=j;i<=n;i++) {  {
       sum=a[i][j];    /* Computes the prevalence limit in each live state at age x by left multiplying the unit
       for (k=1;k<j;k++)       matrix by transitions matrix until convergence is reached */
         sum -= a[i][k]*a[k][j];  
       a[i][j]=sum;    int i, ii,j,k;
       if ( (dum=vv[i]*fabs(sum)) >= big) {    double min, max, maxmin, maxmax,sumnew=0.;
         big=dum;    double **matprod2();
         imax=i;    double **out, cov[NCOVMAX], **pmij();
       }    double **newm;
     }    double agefin, delaymax=50 ; /* Max number of years to converge */
     if (j != imax) {  
       for (k=1;k<=n;k++) {    for (ii=1;ii<=nlstate+ndeath;ii++)
         dum=a[imax][k];      for (j=1;j<=nlstate+ndeath;j++){
         a[imax][k]=a[j][k];        oldm[ii][j]=(ii==j ? 1.0 : 0.0);
         a[j][k]=dum;      }
       }  
       *d = -(*d);     cov[1]=1.;
       vv[imax]=vv[j];   
     }   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
     indx[j]=imax;    for(agefin=age-stepm/YEARM; agefin>=age-delaymax; agefin=agefin-stepm/YEARM){
     if (a[j][j] == 0.0) a[j][j]=TINY;      newm=savm;
     if (j != n) {      /* Covariates have to be included here again */
       dum=1.0/(a[j][j]);       cov[2]=agefin;
       for (i=j+1;i<=n;i++) a[i][j] *= dum;    
     }        for (k=1; k<=cptcovn;k++) {
   }          cov[2+k]=nbcode[Tvar[k]][codtab[ij][Tvar[k]]];
   free_vector(vv,1,n);  /* Doesn't work */          /*      printf("ij=%d k=%d Tvar[k]=%d nbcode=%d cov=%lf codtab[ij][Tvar[k]]=%d \n",ij,k, Tvar[k],nbcode[Tvar[k]][codtab[ij][Tvar[k]]],cov[2+k], codtab[ij][Tvar[k]]);*/
 ;        }
 }        for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2];
         for (k=1; k<=cptcovprod;k++)
 void lubksb(double **a, int n, int *indx, double b[])          cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]]*nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]];
 {  
   int i,ii=0,ip,j;        /*printf("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/
   double sum;        /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/
          /*printf("ij=%d cov[3]=%lf \n",ij, cov[3]);*/
   for (i=1;i<=n;i++) {      out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm);
     ip=indx[i];  
     sum=b[ip];      savm=oldm;
     b[ip]=b[i];      oldm=newm;
     if (ii)      maxmax=0.;
       for (j=ii;j<=i-1;j++) sum -= a[i][j]*b[j];      for(j=1;j<=nlstate;j++){
     else if (sum) ii=i;        min=1.;
     b[i]=sum;        max=0.;
   }        for(i=1; i<=nlstate; i++) {
   for (i=n;i>=1;i--) {          sumnew=0;
     sum=b[i];          for(k=1; k<=ndeath; k++) sumnew+=newm[i][nlstate+k];
     for (j=i+1;j<=n;j++) sum -= a[i][j]*b[j];          prlim[i][j]= newm[i][j]/(1-sumnew);
     b[i]=sum/a[i][i];          max=FMAX(max,prlim[i][j]);
   }          min=FMIN(min,prlim[i][j]);
 }        }
         maxmin=max-min;
 /************ Frequencies ********************/        maxmax=FMAX(maxmax,maxmin);
 void  freqsummary(char fileres[], int agemin, int agemax, int **s, double **agev, int nlstate, int imx, int *Tvar, int **nbcode, int *ncodemax,double **mint,double **anint, double dateprev1,double dateprev2,double jprev1, double mprev1,double anprev1,double jprev2, double mprev2,double anprev2)      }
 {  /* Some frequencies */      if(maxmax < ftolpl){
          return prlim;
   int i, m, jk, k1,i1, j1, bool, z1,z2,j;      }
   double ***freq; /* Frequencies */    }
   double *pp;  }
   double pos, k2, dateintsum=0,k2cpt=0;  
   FILE *ficresp;  /*************** transition probabilities ***************/ 
   char fileresp[FILENAMELENGTH];  
    double **pmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )
   pp=vector(1,nlstate);  {
   probs= ma3x(1,AGESUP,1,NCOVMAX, 1,NCOVMAX);    double s1, s2;
   strcpy(fileresp,"p");    /*double t34;*/
   strcat(fileresp,fileres);    int i,j,j1, nc, ii, jj;
   if((ficresp=fopen(fileresp,"w"))==NULL) {  
     printf("Problem with prevalence resultfile: %s\n", fileresp);      for(i=1; i<= nlstate; i++){
     exit(0);        for(j=1; j<i;j++){
   }          for (nc=1, s2=0.;nc <=ncovmodel; nc++){
   freq= ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,agemin,agemax+3);            /*s2 += param[i][j][nc]*cov[nc];*/
   j1=0;            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); */
   j=cptcoveff;          }
   if (cptcovn<1) {j=1;ncodemax[1]=1;}          ps[i][j]=s2;
    /*      printf("s1=%.17e, s2=%.17e\n",s1,s2); */
   for(k1=1; k1<=j;k1++){        }
     for(i1=1; i1<=ncodemax[k1];i1++){        for(j=i+1; j<=nlstate+ndeath;j++){
       j1++;          for (nc=1, s2=0.;nc <=ncovmodel; nc++){
       /*printf("cptcoveff=%d Tvaraff=%d", cptcoveff,Tvaraff[1]);            s2 += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];
         scanf("%d", i);*/  /*        printf("Int j>i s1=%.17e, s2=%.17e %lx %lx\n",s1,s2,s1,s2); */
       for (i=-1; i<=nlstate+ndeath; i++)            }
         for (jk=-1; jk<=nlstate+ndeath; jk++)            ps[i][j]=s2;
           for(m=agemin; m <= agemax+3; m++)        }
             freq[i][jk][m]=0;      }
            /*ps[3][2]=1;*/
       dateintsum=0;      
       k2cpt=0;      for(i=1; i<= nlstate; i++){
       for (i=1; i<=imx; i++) {        s1=0;
         bool=1;        for(j=1; j<i; j++)
         if  (cptcovn>0) {          s1+=exp(ps[i][j]);
           for (z1=1; z1<=cptcoveff; z1++)        for(j=i+1; j<=nlstate+ndeath; j++)
             if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtab[j1][z1]])          s1+=exp(ps[i][j]);
               bool=0;        ps[i][i]=1./(s1+1.);
         }        for(j=1; j<i; j++)
         if (bool==1) {          ps[i][j]= exp(ps[i][j])*ps[i][i];
           for(m=firstpass; m<=lastpass; m++){        for(j=i+1; j<=nlstate+ndeath; j++)
             k2=anint[m][i]+(mint[m][i]/12.);          ps[i][j]= exp(ps[i][j])*ps[i][i];
             if ((k2>=dateprev1) && (k2<=dateprev2)) {        /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */
               if(agev[m][i]==0) agev[m][i]=agemax+1;      } /* end i */
               if(agev[m][i]==1) agev[m][i]=agemax+2;      
               if (m<lastpass) {      for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){
                 freq[s[m][i]][s[m+1][i]][(int)agev[m][i]] += weight[i];        for(jj=1; jj<= nlstate+ndeath; jj++){
                 freq[s[m][i]][s[m+1][i]][(int) agemax+3] += weight[i];          ps[ii][jj]=0;
               }          ps[ii][ii]=1;
                      }
               if ((agev[m][i]>1) && (agev[m][i]< (agemax+3))) {      }
                 dateintsum=dateintsum+k2;      
                 k2cpt++;  
               }  /*        for(ii=1; ii<= nlstate+ndeath; ii++){ */
             }  /*       for(jj=1; jj<= nlstate+ndeath; jj++){ */
           }  /*         printf("ddd %lf ",ps[ii][jj]); */
         }  /*       } */
       }  /*       printf("\n "); */
          /*        } */
       fprintf(ficresp, "#Count between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);  /*        printf("\n ");printf("%lf ",cov[2]); */
          /*
       if  (cptcovn>0) {        for(i=1; i<= npar; i++) printf("%f ",x[i]);
         fprintf(ficresp, "\n#********** Variable ");        goto end;*/
         for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresp, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);      return ps;
         fprintf(ficresp, "**********\n#");  }
       }  
       for(i=1; i<=nlstate;i++)  /**************** Product of 2 matrices ******************/
         fprintf(ficresp, " Age Prev(%d) N(%d) N",i,i);  
       fprintf(ficresp, "\n");  double **matprod2(double **out, double **in,long nrl, long nrh, long ncl, long nch, long ncolol, long ncoloh, double **b)
        {
       for(i=(int)agemin; i <= (int)agemax+3; i++){    /* Computes the matrix product of in(1,nrh-nrl+1)(1,nch-ncl+1) times
         if(i==(int)agemax+3)       b(1,nch-ncl+1)(1,ncoloh-ncolol+1) into out(...) */
           printf("Total");    /* in, b, out are matrice of pointers which should have been initialized 
         else       before: only the contents of out is modified. The function returns
           printf("Age %d", i);       a pointer to pointers identical to out */
         for(jk=1; jk <=nlstate ; jk++){    long i, j, k;
           for(m=-1, pp[jk]=0; m <=nlstate+ndeath ; m++)    for(i=nrl; i<= nrh; i++)
             pp[jk] += freq[jk][m][i];      for(k=ncolol; k<=ncoloh; k++)
         }        for(j=ncl,out[i][k]=0.; j<=nch; j++)
         for(jk=1; jk <=nlstate ; jk++){          out[i][k] +=in[i][j]*b[j][k];
           for(m=-1, pos=0; m <=0 ; m++)  
             pos += freq[jk][m][i];    return out;
           if(pp[jk]>=1.e-10)  }
             printf(" %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);  
           else  
             printf(" %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);  /************* Higher Matrix Product ***************/
         }  
   double ***hpxij(double ***po, int nhstepm, double age, int hstepm, double *x, int nlstate, int stepm, double **oldm, double **savm, int ij )
         for(jk=1; jk <=nlstate ; jk++){  {
           for(m=0, pp[jk]=0; m <=nlstate+ndeath; m++)    /* Computes the transition matrix starting at age 'age' over 
             pp[jk] += freq[jk][m][i];       'nhstepm*hstepm*stepm' months (i.e. until
         }       age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying 
        nhstepm*hstepm matrices. 
         for(jk=1,pos=0; jk <=nlstate ; jk++)       Output is stored in matrix po[i][j][h] for h every 'hstepm' step 
           pos += pp[jk];       (typically every 2 years instead of every month which is too big 
         for(jk=1; jk <=nlstate ; jk++){       for the memory).
           if(pos>=1.e-5)       Model is determined by parameters x and covariates have to be 
             printf(" %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);       included manually here. 
           else  
             printf(" %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);       */
           if( i <= (int) agemax){  
             if(pos>=1.e-5){    int i, j, d, h, k;
               fprintf(ficresp," %d %.5f %.0f %.0f",i,pp[jk]/pos, pp[jk],pos);    double **out, cov[NCOVMAX];
               probs[i][jk][j1]= pp[jk]/pos;    double **newm;
               /*printf("\ni=%d jk=%d j1=%d %.5f %.0f %.0f %f",i,jk,j1,pp[jk]/pos, pp[jk],pos,probs[i][jk][j1]);*/  
             }    /* Hstepm could be zero and should return the unit matrix */
             else    for (i=1;i<=nlstate+ndeath;i++)
               fprintf(ficresp," %d NaNq %.0f %.0f",i,pp[jk],pos);      for (j=1;j<=nlstate+ndeath;j++){
           }        oldm[i][j]=(i==j ? 1.0 : 0.0);
         }        po[i][j][0]=(i==j ? 1.0 : 0.0);
              }
         for(jk=-1; jk <=nlstate+ndeath; jk++)    /* Even if hstepm = 1, at least one multiplication by the unit matrix */
           for(m=-1; m <=nlstate+ndeath; m++)    for(h=1; h <=nhstepm; h++){
             if(freq[jk][m][i] !=0 ) printf(" %d%d=%.0f",jk,m,freq[jk][m][i]);      for(d=1; d <=hstepm; d++){
         if(i <= (int) agemax)        newm=savm;
           fprintf(ficresp,"\n");        /* Covariates have to be included here again */
         printf("\n");        cov[1]=1.;
       }        cov[2]=age+((h-1)*hstepm + (d-1))*stepm/YEARM;
     }        for (k=1; k<=cptcovn;k++) cov[2+k]=nbcode[Tvar[k]][codtab[ij][Tvar[k]]];
   }        for (k=1; k<=cptcovage;k++)
   dateintmean=dateintsum/k2cpt;          cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2];
          for (k=1; k<=cptcovprod;k++)
   fclose(ficresp);          cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]]*nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]];
   free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath,(int) agemin,(int) agemax+3);  
   free_vector(pp,1,nlstate);  
          /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/
   /* End of Freq */        /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/
 }        out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, 
                      pmij(pmmij,cov,ncovmodel,x,nlstate));
 /************ Prevalence ********************/        savm=oldm;
 void prevalence(int agemin, float agemax, int **s, double **agev, int nlstate, int imx, int *Tvar, int **nbcode, int *ncodemax,double **mint,double **anint, double dateprev1,double dateprev2, double calagedate)        oldm=newm;
 {  /* Some frequencies */      }
        for(i=1; i<=nlstate+ndeath; i++)
   int i, m, jk, k1, i1, j1, bool, z1,z2,j;        for(j=1;j<=nlstate+ndeath;j++) {
   double ***freq; /* Frequencies */          po[i][j][h]=newm[i][j];
   double *pp;          /*printf("i=%d j=%d h=%d po[i][j][h]=%f ",i,j,h,po[i][j][h]);
   double pos, k2;           */
         }
   pp=vector(1,nlstate);    } /* end h */
   probs= ma3x(1,AGESUP,1,NCOVMAX, 1,NCOVMAX);    return po;
    }
   freq=ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,agemin,agemax+3);  
   j1=0;  
    /*************** log-likelihood *************/
   j=cptcoveff;  double func( double *x)
   if (cptcovn<1) {j=1;ncodemax[1]=1;}  {
      int i, ii, j, k, mi, d, kk;
  for(k1=1; k1<=j;k1++){    double l, ll[NLSTATEMAX], cov[NCOVMAX];
     for(i1=1; i1<=ncodemax[k1];i1++){    double **out;
       j1++;    double sw; /* Sum of weights */
      double lli; /* Individual log likelihood */
       for (i=-1; i<=nlstate+ndeath; i++)      int s1, s2;
         for (jk=-1; jk<=nlstate+ndeath; jk++)      double bbh, survp;
           for(m=agemin; m <= agemax+3; m++)    long ipmx;
             freq[i][jk][m]=0;    /*extern weight */
          /* We are differentiating ll according to initial status */
       for (i=1; i<=imx; i++) {    /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
         bool=1;    /*for(i=1;i<imx;i++) 
         if  (cptcovn>0) {      printf(" %d\n",s[4][i]);
           for (z1=1; z1<=cptcoveff; z1++)    */
             if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtab[j1][z1]])    cov[1]=1.;
               bool=0;  
         }    for(k=1; k<=nlstate; k++) ll[k]=0.;
         if (bool==1) {  
           for(m=firstpass; m<=lastpass; m++){    if(mle==1){
             k2=anint[m][i]+(mint[m][i]/12.);      for (i=1,ipmx=0, sw=0.; i<=imx; i++){
             if ((k2>=dateprev1) && (k2<=dateprev2)) {        for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];
               if(agev[m][i]==0) agev[m][i]=agemax+1;        for(mi=1; mi<= wav[i]-1; mi++){
               if(agev[m][i]==1) agev[m][i]=agemax+2;          for (ii=1;ii<=nlstate+ndeath;ii++)
               if (m<lastpass)            for (j=1;j<=nlstate+ndeath;j++){
                 if (calagedate>0) freq[s[m][i]][s[m+1][i]][(int)(agev[m][i]+1-((int)calagedate %12)/12.)] += weight[i];              oldm[ii][j]=(ii==j ? 1.0 : 0.0);
               else              savm[ii][j]=(ii==j ? 1.0 : 0.0);
                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];          for(d=0; d<dh[mi][i]; d++){
             }            newm=savm;
           }            cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;
         }            for (kk=1; kk<=cptcovage;kk++) {
       }              cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
         for(i=(int)agemin; i <= (int)agemax+3; i++){            }
           for(jk=1; jk <=nlstate ; jk++){            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
             for(m=-1, pp[jk]=0; m <=nlstate+ndeath ; m++)                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
               pp[jk] += freq[jk][m][i];            savm=oldm;
           }            oldm=newm;
           for(jk=1; jk <=nlstate ; jk++){          } /* end mult */
             for(m=-1, pos=0; m <=0 ; m++)        
             pos += freq[jk][m][i];          /*lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);*/ /* Original formula */
         }          /* But now since version 0.9 we anticipate for bias at large stepm.
                   * If stepm is larger than one month (smallest stepm) and if the exact delay 
          for(jk=1; jk <=nlstate ; jk++){           * (in months) between two waves is not a multiple of stepm, we rounded to 
            for(m=0, pp[jk]=0; m <=nlstate+ndeath; m++)           * the nearest (and in case of equal distance, to the lowest) interval but now
              pp[jk] += freq[jk][m][i];           * we keep into memory the bias bh[mi][i] and also the previous matrix product
          }           * (i.e to dh[mi][i]-1) saved in 'savm'. Then we inter(extra)polate the
                     * probability in order to take into account the bias as a fraction of the way
          for(jk=1,pos=0; jk <=nlstate ; jk++) pos += pp[jk];           * from savm to out if bh is negative or even beyond if bh is positive. bh varies
            * -stepm/2 to stepm/2 .
          for(jk=1; jk <=nlstate ; jk++){                     * For stepm=1 the results are the same as for previous versions of Imach.
            if( i <= (int) agemax){           * For stepm > 1 the results are less biased than in previous versions. 
              if(pos>=1.e-5){           */
                probs[i][jk][j1]= pp[jk]/pos;          s1=s[mw[mi][i]][i];
              }          s2=s[mw[mi+1][i]][i];
            }          bbh=(double)bh[mi][i]/(double)stepm; 
          }          /* bias bh is positive if real duration
                     * is higher than the multiple of stepm and negative otherwise.
         }           */
     }          /* lli= (savm[s1][s2]>1.e-8 ?(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]):log((1.+bbh)*out[s1][s2]));*/
   }          if( s2 > nlstate){ 
             /* i.e. if s2 is a death state and if the date of death is known 
                 then the contribution to the likelihood is the probability to 
   free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath,(int) agemin,(int) agemax+3);               die between last step unit time and current  step unit time, 
   free_vector(pp,1,nlstate);               which is also equal to probability to die before dh 
                 minus probability to die before dh-stepm . 
 }  /* End of Freq */               In version up to 0.92 likelihood was computed
           as if date of death was unknown. Death was treated as any other
 /************* Waves Concatenation ***************/          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
 void  concatwav(int wav[], int **dh, int **mw, int **s, double *agedc, double **agev, int  firstpass, int lastpass, int imx, int nlstate, int stepm)          to consider that at each interview the state was recorded
 {          (healthy, disable or death) and IMaCh was corrected; but when we
   /* Concatenates waves: wav[i] is the number of effective (useful waves) of individual i.          introduced the exact date of death then we should have modified
      Death is a valid wave (if date is known).          the contribution of an exact death to the likelihood. This new
      mw[mi][i] is the mi (mi=1 to wav[i])  effective wave of individual i          contribution is smaller and very dependent of the step unit
      dh[m][i] of dh[mw[mi][i][i] is the delay between two effective waves m=mw[mi][i]          stepm. It is no more the probability to die between last interview
      and mw[mi+1][i]. dh depends on stepm.          and month of death but the probability to survive from last
      */          interview up to one month before death multiplied by the
           probability to die within a month. Thanks to Chris
   int i, mi, m;          Jackson for correcting this bug.  Former versions increased
   /* int j, k=0,jk, ju, jl,jmin=1e+5, jmax=-1;          mortality artificially. The bad side is that we add another loop
      double sum=0., jmean=0.;*/          which slows down the processing. The difference can be up to 10%
           lower mortality.
   int j, k=0,jk, ju, jl;            */
   double sum=0.;            lli=log(out[s1][s2] - savm[s1][s2]);
   jmin=1e+5;  
   jmax=-1;  
   jmean=0.;          } else if  (s2==-2) {
   for(i=1; i<=imx; i++){            for (j=1,survp=0. ; j<=nlstate; j++) 
     mi=0;              survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
     m=firstpass;            /*survp += out[s1][j]; */
     while(s[m][i] <= nlstate){            lli= log(survp);
       if(s[m][i]>=1)          }
         mw[++mi][i]=m;          
       if(m >=lastpass)          else if  (s2==-4) { 
         break;            for (j=3,survp=0. ; j<=nlstate; j++)  
       else              survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
         m++;            lli= log(survp); 
     }/* end while */          } 
     if (s[m][i] > nlstate){  
       mi++;     /* Death is another wave */          else if  (s2==-5) { 
       /* if(mi==0)  never been interviewed correctly before death */            for (j=1,survp=0. ; j<=2; j++)  
          /* Only death is a correct wave */              survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
       mw[mi][i]=m;            lli= log(survp); 
     }          } 
           
     wav[i]=mi;          else{
     if(mi==0)            lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
       printf("Warning, no any valid information for:%d line=%d\n",num[i],i);            /*  lli= (savm[s1][s2]>(double)1.e-8 ?log((1.+bbh)*out[s1][s2]- bbh*(savm[s1][s2])):log((1.+bbh)*out[s1][s2]));*/ /* linear interpolation */
   }          } 
           /*lli=(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]);*/
   for(i=1; i<=imx; i++){          /*if(lli ==000.0)*/
     for(mi=1; mi<wav[i];mi++){          /*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); */
       if (stepm <=0)          ipmx +=1;
         dh[mi][i]=1;          sw += weight[i];
       else{          ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
         if (s[mw[mi+1][i]][i] > nlstate) {        } /* end of wave */
           if (agedc[i] < 2*AGESUP) {      } /* end of individual */
           j= rint(agedc[i]*12-agev[mw[mi][i]][i]*12);    }  else if(mle==2){
           if(j==0) j=1;  /* Survives at least one month after exam */      for (i=1,ipmx=0, sw=0.; i<=imx; i++){
           k=k+1;        for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];
           if (j >= jmax) jmax=j;        for(mi=1; mi<= wav[i]-1; mi++){
           if (j <= jmin) jmin=j;          for (ii=1;ii<=nlstate+ndeath;ii++)
           sum=sum+j;            for (j=1;j<=nlstate+ndeath;j++){
           /*if (j<0) printf("j=%d num=%d \n",j,i); */              oldm[ii][j]=(ii==j ? 1.0 : 0.0);
           }              savm[ii][j]=(ii==j ? 1.0 : 0.0);
         }            }
         else{          for(d=0; d<=dh[mi][i]; d++){
           j= rint( (agev[mw[mi+1][i]][i]*12 - agev[mw[mi][i]][i]*12));            newm=savm;
           k=k+1;            cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;
           if (j >= jmax) jmax=j;            for (kk=1; kk<=cptcovage;kk++) {
           else if (j <= jmin)jmin=j;              cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
           /*        if (j<10) printf("j=%d jmin=%d num=%d ",j,jmin,i); */            }
           sum=sum+j;            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
         }                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
         jk= j/stepm;            savm=oldm;
         jl= j -jk*stepm;            oldm=newm;
         ju= j -(jk+1)*stepm;          } /* end mult */
         if(jl <= -ju)        
           dh[mi][i]=jk;          s1=s[mw[mi][i]][i];
         else          s2=s[mw[mi+1][i]][i];
           dh[mi][i]=jk+1;          bbh=(double)bh[mi][i]/(double)stepm; 
         if(dh[mi][i]==0)          lli= (savm[s1][s2]>(double)1.e-8 ?log((1.+bbh)*out[s1][s2]- bbh*(savm[s1][s2])):log((1.+bbh)*out[s1][s2])); /* linear interpolation */
           dh[mi][i]=1; /* At least one step */          ipmx +=1;
       }          sw += weight[i];
     }          ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
   }        } /* end of wave */
   jmean=sum/k;      } /* end of individual */
   printf("Delay (in months) between two waves Min=%d Max=%d Mean=%f\n\n ",jmin, jmax,jmean);    }  else if(mle==3){  /* exponential inter-extrapolation */
  }      for (i=1,ipmx=0, sw=0.; i<=imx; i++){
 /*********** Tricode ****************************/        for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];
 void tricode(int *Tvar, int **nbcode, int imx)        for(mi=1; mi<= wav[i]-1; mi++){
 {          for (ii=1;ii<=nlstate+ndeath;ii++)
   int Ndum[20],ij=1, k, j, i;            for (j=1;j<=nlstate+ndeath;j++){
   int cptcode=0;              oldm[ii][j]=(ii==j ? 1.0 : 0.0);
   cptcoveff=0;              savm[ii][j]=(ii==j ? 1.0 : 0.0);
              }
   for (k=0; k<19; k++) Ndum[k]=0;          for(d=0; d<dh[mi][i]; d++){
   for (k=1; k<=7; k++) ncodemax[k]=0;            newm=savm;
             cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;
   for (j=1; j<=(cptcovn+2*cptcovprod); j++) {            for (kk=1; kk<=cptcovage;kk++) {
     for (i=1; i<=imx; i++) {              cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
       ij=(int)(covar[Tvar[j]][i]);            }
       Ndum[ij]++;            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
       /*printf("i=%d ij=%d Ndum[ij]=%d imx=%d",i,ij,Ndum[ij],imx);*/                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
       if (ij > cptcode) cptcode=ij;            savm=oldm;
     }            oldm=newm;
           } /* end mult */
     for (i=0; i<=cptcode; i++) {        
       if(Ndum[i]!=0) ncodemax[j]++;          s1=s[mw[mi][i]][i];
     }          s2=s[mw[mi+1][i]][i];
     ij=1;          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;
     for (i=1; i<=ncodemax[j]; i++) {          sw += weight[i];
       for (k=0; k<=19; k++) {          ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
         if (Ndum[k] != 0) {        } /* end of wave */
           nbcode[Tvar[j]][ij]=k;      } /* end of individual */
              }else if (mle==4){  /* ml=4 no inter-extrapolation */
           ij++;      for (i=1,ipmx=0, sw=0.; i<=imx; i++){
         }        for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];
         if (ij > ncodemax[j]) break;        for(mi=1; mi<= wav[i]-1; mi++){
       }            for (ii=1;ii<=nlstate+ndeath;ii++)
     }            for (j=1;j<=nlstate+ndeath;j++){
   }                oldm[ii][j]=(ii==j ? 1.0 : 0.0);
               savm[ii][j]=(ii==j ? 1.0 : 0.0);
  for (k=0; k<19; k++) Ndum[k]=0;            }
           for(d=0; d<dh[mi][i]; d++){
  for (i=1; i<=ncovmodel-2; i++) {            newm=savm;
       ij=Tvar[i];            cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;
       Ndum[ij]++;            for (kk=1; kk<=cptcovage;kk++) {
     }              cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
             }
  ij=1;          
  for (i=1; i<=10; i++) {            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
    if((Ndum[i]!=0) && (i<=ncovcol)){                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
      Tvaraff[ij]=i;            savm=oldm;
      ij++;            oldm=newm;
    }          } /* end mult */
  }        
            s1=s[mw[mi][i]][i];
     cptcoveff=ij-1;          s2=s[mw[mi+1][i]][i];
 }          if( s2 > nlstate){ 
             lli=log(out[s1][s2] - savm[s1][s2]);
 /*********** Health Expectancies ****************/          }else{
             lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
 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 )          }
           ipmx +=1;
 {          sw += weight[i];
   /* Health expectancies */          ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
   int i, j, nhstepm, hstepm, h, nstepm, k, cptj;  /*      printf("i=%6d s1=%1d s2=%1d mi=%1d mw=%1d dh=%3d prob=%10.6f w=%6.4f out=%10.6f sav=%10.6f\n",i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],out[s1][s2],savm[s1][s2]); */
   double age, agelim, hf;        } /* end of wave */
   double ***p3mat,***varhe;      } /* end of individual */
   double **dnewm,**doldm;    }else{  /* ml=5 no inter-extrapolation no jackson =0.8a */
   double *xp;      for (i=1,ipmx=0, sw=0.; i<=imx; i++){
   double **gp, **gm;        for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];
   double ***gradg, ***trgradg;        for(mi=1; mi<= wav[i]-1; mi++){
   int theta;          for (ii=1;ii<=nlstate+ndeath;ii++)
             for (j=1;j<=nlstate+ndeath;j++){
   varhe=ma3x(1,nlstate*2,1,nlstate*2,(int) bage, (int) fage);              oldm[ii][j]=(ii==j ? 1.0 : 0.0);
   xp=vector(1,npar);              savm[ii][j]=(ii==j ? 1.0 : 0.0);
   dnewm=matrix(1,nlstate*2,1,npar);            }
   doldm=matrix(1,nlstate*2,1,nlstate*2);          for(d=0; d<dh[mi][i]; d++){
              newm=savm;
   fprintf(ficreseij,"# Health expectancies\n");            cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;
   fprintf(ficreseij,"# Age");            for (kk=1; kk<=cptcovage;kk++) {
   for(i=1; i<=nlstate;i++)              cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
     for(j=1; j<=nlstate;j++)            }
       fprintf(ficreseij," %1d-%1d (SE)",i,j);          
   fprintf(ficreseij,"\n");            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                          1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
   if(estepm < stepm){            savm=oldm;
     printf ("Problem %d lower than %d\n",estepm, stepm);            oldm=newm;
   }          } /* end mult */
   else  hstepm=estepm;          
   /* We compute the life expectancy from trapezoids spaced every estepm months          s1=s[mw[mi][i]][i];
    * This is mainly to measure the difference between two models: for example          s2=s[mw[mi+1][i]][i];
    * if stepm=24 months pijx are given only every 2 years and by summing them          lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
    * we are calculating an estimate of the Life Expectancy assuming a linear          ipmx +=1;
    * progression inbetween and thus overestimating or underestimating according          sw += weight[i];
    * to the curvature of the survival function. If, for the same date, we          ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
    * estimate the model with stepm=1 month, we can keep estepm to 24 months          /*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]);*/
    * to compare the new estimate of Life expectancy with the same linear        } /* end of wave */
    * hypothesis. A more precise result, taking into account a more precise      } /* end of individual */
    * curvature will be obtained if estepm is as small as stepm. */    } /* End of if */
     for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
   /* For example we decided to compute the life expectancy with the smallest unit */    /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
   /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm.    l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
      nhstepm is the number of hstepm from age to agelim    return -l;
      nstepm is the number of stepm from age to agelin.  }
      Look at hpijx to understand the reason of that which relies in memory size  
      and note for a fixed period like estepm months */  /*************** log-likelihood *************/
   /* We decided (b) to get a life expectancy respecting the most precise curvature of the  double funcone( double *x)
      survival function given by stepm (the optimization length). Unfortunately it  {
      means that if the survival funtion is printed only each two years of age and if    /* Same as likeli but slower because of a lot of printf and if */
      you sum them up and add 1 year (area under the trapezoids) you won't get the same    int i, ii, j, k, mi, d, kk;
      results. So we changed our mind and took the option of the best precision.    double l, ll[NLSTATEMAX], cov[NCOVMAX];
   */    double **out;
   hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */    double lli; /* Individual log likelihood */
     double llt;
   agelim=AGESUP;    int s1, s2;
   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */    double bbh, survp;
     /* nhstepm age range expressed in number of stepm */    /*extern weight */
     nstepm=(int) rint((agelim-age)*YEARM/stepm);    /* We are differentiating ll according to initial status */
     /* Typically if 20 years nstepm = 20*12/6=40 stepm */    /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
     /* if (stepm >= YEARM) hstepm=1;*/    /*for(i=1;i<imx;i++) 
     nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */      printf(" %d\n",s[4][i]);
     p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);    */
     gradg=ma3x(0,nhstepm,1,npar,1,nlstate*2);    cov[1]=1.;
     gp=matrix(0,nhstepm,1,nlstate*2);  
     gm=matrix(0,nhstepm,1,nlstate*2);    for(k=1; k<=nlstate; k++) ll[k]=0.;
   
     /* Computed by stepm unit matrices, product of hstepm matrices, stored    for (i=1,ipmx=0, sw=0.; i<=imx; i++){
        in an array of nhstepm length: nhstepm=10, hstepm=4, stepm=6 months */      for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];
     hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm, savm, ij);        for(mi=1; mi<= wav[i]-1; mi++){
          for (ii=1;ii<=nlstate+ndeath;ii++)
           for (j=1;j<=nlstate+ndeath;j++){
     hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
             savm[ii][j]=(ii==j ? 1.0 : 0.0);
     /* Computing Variances of health expectancies */          }
         for(d=0; d<dh[mi][i]; d++){
      for(theta=1; theta <=npar; theta++){          newm=savm;
       for(i=1; i<=npar; i++){          cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;
         xp[i] = x[i] + (i==theta ?delti[theta]:0);          for (kk=1; kk<=cptcovage;kk++) {
       }            cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
       hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);            }
            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
       cptj=0;                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
       for(j=1; j<= nlstate; j++){          savm=oldm;
         for(i=1; i<=nlstate; i++){          oldm=newm;
           cptj=cptj+1;        } /* end mult */
           for(h=0, gp[h][cptj]=0.; h<=nhstepm-1; h++){        
             gp[h][cptj] = (p3mat[i][j][h]+p3mat[i][j][h+1])/2.;        s1=s[mw[mi][i]][i];
           }        s2=s[mw[mi+1][i]][i];
         }        bbh=(double)bh[mi][i]/(double)stepm; 
       }        /* bias is positive if real duration
               * is higher than the multiple of stepm and negative otherwise.
               */
       for(i=1; i<=npar; i++)        if( s2 > nlstate && (mle <5) ){  /* Jackson */
         xp[i] = x[i] - (i==theta ?delti[theta]:0);          lli=log(out[s1][s2] - savm[s1][s2]);
       hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);          } else if  (s2==-2) {
                for (j=1,survp=0. ; j<=nlstate; j++) 
       cptj=0;            survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
       for(j=1; j<= nlstate; j++){          lli= log(survp);
         for(i=1;i<=nlstate;i++){        }else if (mle==1){
           cptj=cptj+1;          lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
           for(h=0, gm[h][cptj]=0.; h<=nhstepm-1; h++){        } else if(mle==2){
             gm[h][cptj] = (p3mat[i][j][h]+p3mat[i][j][h+1])/2.;          lli= (savm[s1][s2]>(double)1.e-8 ?log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]):log((1.+bbh)*out[s1][s2])); /* linear interpolation */
           }        } else if(mle==3){  /* exponential inter-extrapolation */
         }          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 */
       }        } else if (mle==4){  /* mle=4 no inter-extrapolation */
                lli=log(out[s1][s2]); /* Original formula */
            } else{  /* ml>=5 no inter-extrapolation no jackson =0.8a */
           lli=log(out[s1][s2]); /* Original formula */
       for(j=1; j<= nlstate*2; j++)        } /* End of if */
         for(h=0; h<=nhstepm-1; 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;
   /*       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]); */
      }        if(globpr){
              fprintf(ficresilk,"%9d %6d %2d %2d %1d %1d %3d %11.6f %8.4f\
 /* End theta */   %11.6f %11.6f %11.6f ", \
                   num[i],i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],
      trgradg =ma3x(0,nhstepm,1,nlstate*2,1,npar);                  2*weight[i]*lli,out[s1][s2],savm[s1][s2]);
           for(k=1,llt=0.,l=0.; k<=nlstate; k++){
      for(h=0; h<=nhstepm-1; h++)            llt +=ll[k]*gipmx/gsw;
       for(j=1; j<=nlstate*2;j++)            fprintf(ficresilk," %10.6f",-ll[k]*gipmx/gsw);
         for(theta=1; theta <=npar; theta++)          }
         trgradg[h][j][theta]=gradg[h][theta][j];          fprintf(ficresilk," %10.6f\n", -llt);
         }
       } /* end of wave */
      for(i=1;i<=nlstate*2;i++)    } /* end of individual */
       for(j=1;j<=nlstate*2;j++)    for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
         varhe[i][j][(int)age] =0.;    /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
     l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
     for(h=0;h<=nhstepm-1;h++){    if(globpr==0){ /* First time we count the contributions and weights */
       for(k=0;k<=nhstepm-1;k++){      gipmx=ipmx;
         matprod2(dnewm,trgradg[h],1,nlstate*2,1,npar,1,npar,matcov);      gsw=sw;
         matprod2(doldm,dnewm,1,nlstate*2,1,npar,1,nlstate*2,gradg[k]);    }
         for(i=1;i<=nlstate*2;i++)    return -l;
           for(j=1;j<=nlstate*2;j++)  }
             varhe[i][j][(int)age] += doldm[i][j]*hf*hf;  
       }  
     }  /*************** function likelione ***********/
   void likelione(FILE *ficres,double p[], int npar, int nlstate, int *globpri, long *ipmx, double *sw, double *fretone, double (*funcone)(double []))
        {
     /* Computing expectancies */    /* This routine should help understanding what is done with 
     for(i=1; i<=nlstate;i++)       the selection of individuals/waves and
       for(j=1; j<=nlstate;j++)       to check the exact contribution to the likelihood.
         for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){       Plotting could be done.
           eij[i][j][(int)age] += (p3mat[i][j][h]+p3mat[i][j][h+1])/2.0*hf;     */
              int k;
 /* if((int)age==70)printf("i=%2d,j=%2d,h=%2d,age=%3d,%9.4f,%9.4f,%9.4f\n",i,j,h,(int)age,p3mat[i][j][h],hf,eij[i][j][(int)age]);*/  
     if(*globpri !=0){ /* Just counts and sums, no printings */
         }      strcpy(fileresilk,"ilk"); 
       strcat(fileresilk,fileres);
     fprintf(ficreseij,"%3.0f",age );      if((ficresilk=fopen(fileresilk,"w"))==NULL) {
     cptj=0;        printf("Problem with resultfile: %s\n", fileresilk);
     for(i=1; i<=nlstate;i++)        fprintf(ficlog,"Problem with resultfile: %s\n", fileresilk);
       for(j=1; j<=nlstate;j++){      }
         cptj++;      fprintf(ficresilk, "#individual(line's_record) s1 s2 wave# effective_wave# number_of_matrices_product pij weight -2ln(pij)*weight 0pij_x 0pij_(x-stepm) cumulating_loglikeli_by_health_state(reweighted=-2ll*weightXnumber_of_contribs/sum_of_weights) and_total\n");
         fprintf(ficreseij," %9.4f (%.4f)", eij[i][j][(int)age], sqrt(varhe[cptj][cptj][(int)age]) );      fprintf(ficresilk, "#num_i i s1 s2 mi mw dh likeli weight 2wlli out sav ");
       }      /*  i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],2*weight[i]*lli,out[s1][s2],savm[s1][s2]); */
     fprintf(ficreseij,"\n");      for(k=1; k<=nlstate; k++) 
            fprintf(ficresilk," -2*gipw/gsw*weight*ll[%d]++",k);
     free_matrix(gm,0,nhstepm,1,nlstate*2);      fprintf(ficresilk," -2*gipw/gsw*weight*ll(total)\n");
     free_matrix(gp,0,nhstepm,1,nlstate*2);    }
     free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate*2);  
     free_ma3x(trgradg,0,nhstepm,1,nlstate*2,1,npar);    *fretone=(*funcone)(p);
     free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);    if(*globpri !=0){
   }      fclose(ficresilk);
   free_vector(xp,1,npar);      fprintf(fichtm,"\n<br>File of contributions to the likelihood: <a href=\"%s\">%s</a><br>\n",subdirf(fileresilk),subdirf(fileresilk));
   free_matrix(dnewm,1,nlstate*2,1,npar);      fflush(fichtm); 
   free_matrix(doldm,1,nlstate*2,1,nlstate*2);    } 
   free_ma3x(varhe,1,nlstate*2,1,nlstate*2,(int) bage, (int)fage);    return;
 }  }
   
 /************ Variance ******************/  
 void varevsij(char fileres[], double ***vareij, double **matcov, double x[], double delti[], int nlstate, int stepm, double bage, double fage, double **oldm, double **savm, double **prlim, double ftolpl, int ij, int estepm)  /*********** Maximum Likelihood Estimation ***************/
 {  
   /* Variance of health expectancies */  void mlikeli(FILE *ficres,double p[], int npar, int ncovmodel, int nlstate, double ftol, double (*func)(double []))
   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);*/  {
   double **newm;    int i,j, iter;
   double **dnewm,**doldm;    double **xi;
   int i, j, nhstepm, hstepm, h, nstepm ;    double fret;
   int k, cptcode;    double fretone; /* Only one call to likelihood */
   double *xp;    /*  char filerespow[FILENAMELENGTH];*/
   double **gp, **gm;    xi=matrix(1,npar,1,npar);
   double ***gradg, ***trgradg;    for (i=1;i<=npar;i++)
   double ***p3mat;      for (j=1;j<=npar;j++)
   double age,agelim, hf;        xi[i][j]=(i==j ? 1.0 : 0.0);
   int theta;    printf("Powell\n");  fprintf(ficlog,"Powell\n");
     strcpy(filerespow,"pow"); 
    fprintf(ficresvij,"# Covariances of life expectancies\n");    strcat(filerespow,fileres);
   fprintf(ficresvij,"# Age");    if((ficrespow=fopen(filerespow,"w"))==NULL) {
   for(i=1; i<=nlstate;i++)      printf("Problem with resultfile: %s\n", filerespow);
     for(j=1; j<=nlstate;j++)      fprintf(ficlog,"Problem with resultfile: %s\n", filerespow);
       fprintf(ficresvij," Cov(e%1d, e%1d)",i,j);    }
   fprintf(ficresvij,"\n");    fprintf(ficrespow,"# Powell\n# iter -2*LL");
     for (i=1;i<=nlstate;i++)
   xp=vector(1,npar);      for(j=1;j<=nlstate+ndeath;j++)
   dnewm=matrix(1,nlstate,1,npar);        if(j!=i)fprintf(ficrespow," p%1d%1d",i,j);
   doldm=matrix(1,nlstate,1,nlstate);    fprintf(ficrespow,"\n");
    
   if(estepm < stepm){    powell(p,xi,npar,ftol,&iter,&fret,func);
     printf ("Problem %d lower than %d\n",estepm, stepm);  
   }    free_matrix(xi,1,npar,1,npar);
   else  hstepm=estepm;      fclose(ficrespow);
   /* For example we decided to compute the life expectancy with the smallest unit */    printf("\n#Number of iterations = %d, -2 Log likelihood = %.12f\n",iter,func(p));
   /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm.    fprintf(ficlog,"\n#Number of iterations = %d, -2 Log likelihood = %.12f \n",iter,func(p));
      nhstepm is the number of hstepm from age to agelim    fprintf(ficres,"#Number of iterations = %d, -2 Log likelihood = %.12f \n",iter,func(p));
      nstepm is the number of stepm from age to agelin.  
      Look at hpijx to understand the reason of that which relies in memory size  }
      and note for a fixed period like k years */  
   /* We decided (b) to get a life expectancy respecting the most precise curvature of the  /**** Computes Hessian and covariance matrix ***/
      survival function given by stepm (the optimization length). Unfortunately it  void hesscov(double **matcov, double p[], int npar, double delti[], double ftolhess, double (*func)(double []))
      means that if the survival funtion is printed only each two years of age and if  {
      you sum them up and add 1 year (area under the trapezoids) you won't get the same    double  **a,**y,*x,pd;
      results. So we changed our mind and took the option of the best precision.    double **hess;
   */    int i, j,jk;
   hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */    int *indx;
   agelim = AGESUP;  
   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */    double hessii(double p[], double delta, int theta, double delti[],double (*func)(double []),int npar);
     nstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */    double hessij(double p[], double delti[], int i, int j,double (*func)(double []),int npar);
     nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */    void lubksb(double **a, int npar, int *indx, double b[]) ;
     p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);    void ludcmp(double **a, int npar, int *indx, double *d) ;
     gradg=ma3x(0,nhstepm,1,npar,1,nlstate);    double gompertz(double p[]);
     gp=matrix(0,nhstepm,1,nlstate);    hess=matrix(1,npar,1,npar);
     gm=matrix(0,nhstepm,1,nlstate);  
     printf("\nCalculation of the hessian matrix. Wait...\n");
     for(theta=1; theta <=npar; theta++){    fprintf(ficlog,"\nCalculation of the hessian matrix. Wait...\n");
       for(i=1; i<=npar; i++){ /* Computes gradient */    for (i=1;i<=npar;i++){
         xp[i] = x[i] + (i==theta ?delti[theta]:0);      printf("%d",i);fflush(stdout);
       }      fprintf(ficlog,"%d",i);fflush(ficlog);
       hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);       
       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);       hess[i][i]=hessii(p,ftolhess,i,delti,func,npar);
       
       if (popbased==1) {      /*  printf(" %f ",p[i]);
         for(i=1; i<=nlstate;i++)          printf(" %lf %lf %lf",hess[i][i],ftolhess,delti[i]);*/
           prlim[i][i]=probs[(int)age][i][ij];    }
       }    
      for (i=1;i<=npar;i++) {
       for(j=1; j<= nlstate; j++){      for (j=1;j<=npar;j++)  {
         for(h=0; h<=nhstepm; h++){        if (j>i) { 
           for(i=1, gp[h][j]=0.;i<=nlstate;i++)          printf(".%d%d",i,j);fflush(stdout);
             gp[h][j] += prlim[i][i]*p3mat[i][j][h];          fprintf(ficlog,".%d%d",i,j);fflush(ficlog);
         }          hess[i][j]=hessij(p,delti,i,j,func,npar);
       }          
              hess[j][i]=hess[i][j];    
       for(i=1; i<=npar; i++) /* Computes gradient */          /*printf(" %lf ",hess[i][j]);*/
         xp[i] = x[i] - (i==theta ?delti[theta]:0);        }
       hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);        }
       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);    }
      printf("\n");
       if (popbased==1) {    fprintf(ficlog,"\n");
         for(i=1; i<=nlstate;i++)  
           prlim[i][i]=probs[(int)age][i][ij];    printf("\nInverting the hessian to get the covariance matrix. Wait...\n");
       }    fprintf(ficlog,"\nInverting the hessian to get the covariance matrix. Wait...\n");
     
       for(j=1; j<= nlstate; j++){    a=matrix(1,npar,1,npar);
         for(h=0; h<=nhstepm; h++){    y=matrix(1,npar,1,npar);
           for(i=1, gm[h][j]=0.;i<=nlstate;i++)    x=vector(1,npar);
             gm[h][j] += prlim[i][i]*p3mat[i][j][h];    indx=ivector(1,npar);
         }    for (i=1;i<=npar;i++)
       }      for (j=1;j<=npar;j++) a[i][j]=hess[i][j];
     ludcmp(a,npar,indx,&pd);
       for(j=1; j<= nlstate; j++)  
         for(h=0; h<=nhstepm; h++){    for (j=1;j<=npar;j++) {
           gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta];      for (i=1;i<=npar;i++) x[i]=0;
         }      x[j]=1;
     } /* End theta */      lubksb(a,npar,indx,x);
       for (i=1;i<=npar;i++){ 
     trgradg =ma3x(0,nhstepm,1,nlstate,1,npar);        matcov[i][j]=x[i];
       }
     for(h=0; h<=nhstepm; h++)    }
       for(j=1; j<=nlstate;j++)  
         for(theta=1; theta <=npar; theta++)    printf("\n#Hessian matrix#\n");
           trgradg[h][j][theta]=gradg[h][theta][j];    fprintf(ficlog,"\n#Hessian matrix#\n");
     for (i=1;i<=npar;i++) { 
     hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */      for (j=1;j<=npar;j++) { 
     for(i=1;i<=nlstate;i++)        printf("%.3e ",hess[i][j]);
       for(j=1;j<=nlstate;j++)        fprintf(ficlog,"%.3e ",hess[i][j]);
         vareij[i][j][(int)age] =0.;      }
       printf("\n");
     for(h=0;h<=nhstepm;h++){      fprintf(ficlog,"\n");
       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]);    /* Recompute Inverse */
         for(i=1;i<=nlstate;i++)    for (i=1;i<=npar;i++)
           for(j=1;j<=nlstate;j++)      for (j=1;j<=npar;j++) a[i][j]=matcov[i][j];
             vareij[i][j][(int)age] += doldm[i][j]*hf*hf;    ludcmp(a,npar,indx,&pd);
       }  
     }    /*  printf("\n#Hessian matrix recomputed#\n");
   
     fprintf(ficresvij,"%.0f ",age );    for (j=1;j<=npar;j++) {
     for(i=1; i<=nlstate;i++)      for (i=1;i<=npar;i++) x[i]=0;
       for(j=1; j<=nlstate;j++){      x[j]=1;
         fprintf(ficresvij," %.4f", vareij[i][j][(int)age]);      lubksb(a,npar,indx,x);
       }      for (i=1;i<=npar;i++){ 
     fprintf(ficresvij,"\n");        y[i][j]=x[i];
     free_matrix(gp,0,nhstepm,1,nlstate);        printf("%.3e ",y[i][j]);
     free_matrix(gm,0,nhstepm,1,nlstate);        fprintf(ficlog,"%.3e ",y[i][j]);
     free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate);      }
     free_ma3x(trgradg,0,nhstepm,1,nlstate,1,npar);      printf("\n");
     free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);      fprintf(ficlog,"\n");
   } /* End age */    }
      */
   free_vector(xp,1,npar);  
   free_matrix(doldm,1,nlstate,1,npar);    free_matrix(a,1,npar,1,npar);
   free_matrix(dnewm,1,nlstate,1,nlstate);    free_matrix(y,1,npar,1,npar);
     free_vector(x,1,npar);
 }    free_ivector(indx,1,npar);
     free_matrix(hess,1,npar,1,npar);
 /************ 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)  
 {  }
   /* Variance of prevalence limit */  
   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);*/  /*************** hessian matrix ****************/
   double **newm;  double hessii(double x[], double delta, int theta, double delti[], double (*func)(double []), int npar)
   double **dnewm,**doldm;  {
   int i, j, nhstepm, hstepm;    int i;
   int k, cptcode;    int l=1, lmax=20;
   double *xp;    double k1,k2;
   double *gp, *gm;    double p2[NPARMAX+1];
   double **gradg, **trgradg;    double res;
   double age,agelim;    double delt=0.0001, delts, nkhi=10.,nkhif=1., khi=1.e-4;
   int theta;    double fx;
        int k=0,kmax=10;
   fprintf(ficresvpl,"# Standard deviation of prevalences limit\n");    double l1;
   fprintf(ficresvpl,"# Age");  
   for(i=1; i<=nlstate;i++)    fx=func(x);
       fprintf(ficresvpl," %1d-%1d",i,i);    for (i=1;i<=npar;i++) p2[i]=x[i];
   fprintf(ficresvpl,"\n");    for(l=0 ; l <=lmax; l++){
       l1=pow(10,l);
   xp=vector(1,npar);      delts=delt;
   dnewm=matrix(1,nlstate,1,npar);      for(k=1 ; k <kmax; k=k+1){
   doldm=matrix(1,nlstate,1,nlstate);        delt = delta*(l1*k);
          p2[theta]=x[theta] +delt;
   hstepm=1*YEARM; /* Every year of age */        k1=func(p2)-fx;
   hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */        p2[theta]=x[theta]-delt;
   agelim = AGESUP;        k2=func(p2)-fx;
   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */        /*res= (k1-2.0*fx+k2)/delt/delt; */
     nhstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */        res= (k1+k2)/delt/delt/2.; /* Divided by because L and not 2*L */
     if (stepm >= YEARM) hstepm=1;        
     nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */  #ifdef DEBUG
     gradg=matrix(1,npar,1,nlstate);        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);
     gp=vector(1,nlstate);        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);
     gm=vector(1,nlstate);  #endif
         /*if(fabs(k1-2.0*fx+k2) <1.e-13){ */
     for(theta=1; theta <=npar; theta++){        if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)){
       for(i=1; i<=npar; i++){ /* Computes gradient */          k=kmax;
         xp[i] = x[i] + (i==theta ?delti[theta]:0);        }
       }        else if((k1 >khi/nkhif) || (k2 >khi/nkhif)){ /* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. */
       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);          k=kmax; l=lmax*10.;
       for(i=1;i<=nlstate;i++)        }
         gp[i] = prlim[i][i];        else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){ 
              delts=delt;
       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++)    delti[theta]=delts;
         gm[i] = prlim[i][i];    return res; 
     
       for(i=1;i<=nlstate;i++)  }
         gradg[theta][i]= (gp[i]-gm[i])/2./delti[theta];  
     } /* End theta */  double hessij( double x[], double delti[], int thetai,int thetaj,double (*func)(double []),int npar)
   {
     trgradg =matrix(1,nlstate,1,npar);    int i;
     int l=1, l1, lmax=20;
     for(j=1; j<=nlstate;j++)    double k1,k2,k3,k4,res,fx;
       for(theta=1; theta <=npar; theta++)    double p2[NPARMAX+1];
         trgradg[j][theta]=gradg[theta][j];    int k;
   
     for(i=1;i<=nlstate;i++)    fx=func(x);
       varpl[i][(int)age] =0.;    for (k=1; k<=2; k++) {
     matprod2(dnewm,trgradg,1,nlstate,1,npar,1,npar,matcov);      for (i=1;i<=npar;i++) p2[i]=x[i];
     matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg);      p2[thetai]=x[thetai]+delti[thetai]/k;
     for(i=1;i<=nlstate;i++)      p2[thetaj]=x[thetaj]+delti[thetaj]/k;
       varpl[i][(int)age] = doldm[i][i]; /* Covariances are useless */      k1=func(p2)-fx;
     
     fprintf(ficresvpl,"%.0f ",age );      p2[thetai]=x[thetai]+delti[thetai]/k;
     for(i=1; i<=nlstate;i++)      p2[thetaj]=x[thetaj]-delti[thetaj]/k;
       fprintf(ficresvpl," %.5f (%.5f)",prlim[i][i],sqrt(varpl[i][(int)age]));      k2=func(p2)-fx;
     fprintf(ficresvpl,"\n");    
     free_vector(gp,1,nlstate);      p2[thetai]=x[thetai]-delti[thetai]/k;
     free_vector(gm,1,nlstate);      p2[thetaj]=x[thetaj]+delti[thetaj]/k;
     free_matrix(gradg,1,npar,1,nlstate);      k3=func(p2)-fx;
     free_matrix(trgradg,1,nlstate,1,npar);    
   } /* End age */      p2[thetai]=x[thetai]-delti[thetai]/k;
       p2[thetaj]=x[thetaj]-delti[thetaj]/k;
   free_vector(xp,1,npar);      k4=func(p2)-fx;
   free_matrix(doldm,1,nlstate,1,npar);      res=(k1-k2-k3+k4)/4.0/delti[thetai]*k/delti[thetaj]*k/2.; /* Because of L not 2*L */
   free_matrix(dnewm,1,nlstate,1,nlstate);  #ifdef DEBUG
       printf("%d %d k=%d, k1=%.12e k2=%.12e k3=%.12e k4=%.12e delti/k=%.12e deltj/k=%.12e, xi-de/k=%.12e xj-de/k=%.12e  res=%.12e k1234=%.12e,k1-2=%.12e,k3-4=%.12e\n",thetai,thetaj,k,k1,k2,k3,k4,delti[thetai]/k,delti[thetaj]/k,x[thetai]-delti[thetai]/k,x[thetaj]-delti[thetaj]/k, res,k1-k2-k3+k4,k1-k2,k3-k4);
 }      fprintf(ficlog,"%d %d k=%d, k1=%.12e k2=%.12e k3=%.12e k4=%.12e delti/k=%.12e deltj/k=%.12e, xi-de/k=%.12e xj-de/k=%.12e  res=%.12e k1234=%.12e,k1-2=%.12e,k3-4=%.12e\n",thetai,thetaj,k,k1,k2,k3,k4,delti[thetai]/k,delti[thetaj]/k,x[thetai]-delti[thetai]/k,x[thetaj]-delti[thetaj]/k, res,k1-k2-k3+k4,k1-k2,k3-k4);
   #endif
 /************ Variance of one-step probabilities  ******************/    }
 void varprob(char fileres[], double **matcov, double x[], double delti[], int nlstate, double bage, double fage, int ij, int *Tvar, int **nbcode, int *ncodemax)    return res;
 {  }
   int i, j, i1, k1, j1, z1;  
   int k=0, cptcode;  /************** Inverse of matrix **************/
   double **dnewm,**doldm;  void ludcmp(double **a, int n, int *indx, double *d) 
   double *xp;  { 
   double *gp, *gm;    int i,imax,j,k; 
   double **gradg, **trgradg;    double big,dum,sum,temp; 
   double age,agelim, cov[NCOVMAX];    double *vv; 
   int theta;   
   char fileresprob[FILENAMELENGTH];    vv=vector(1,n); 
     *d=1.0; 
   strcpy(fileresprob,"prob");    for (i=1;i<=n;i++) { 
   strcat(fileresprob,fileres);      big=0.0; 
   if((ficresprob=fopen(fileresprob,"w"))==NULL) {      for (j=1;j<=n;j++) 
     printf("Problem with resultfile: %s\n", fileresprob);        if ((temp=fabs(a[i][j])) > big) big=temp; 
   }      if (big == 0.0) nrerror("Singular matrix in routine ludcmp"); 
   printf("Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);      vv[i]=1.0/big; 
      } 
 fprintf(ficresprob,"#One-step probabilities and standard deviation in parentheses\n");    for (j=1;j<=n;j++) { 
   fprintf(ficresprob,"# Age");      for (i=1;i<j;i++) { 
   for(i=1; i<=nlstate;i++)        sum=a[i][j]; 
     for(j=1; j<=(nlstate+ndeath);j++)        for (k=1;k<i;k++) sum -= a[i][k]*a[k][j]; 
       fprintf(ficresprob," p%1d-%1d (SE)",i,j);        a[i][j]=sum; 
       } 
       big=0.0; 
   fprintf(ficresprob,"\n");      for (i=j;i<=n;i++) { 
         sum=a[i][j]; 
         for (k=1;k<j;k++) 
   xp=vector(1,npar);          sum -= a[i][k]*a[k][j]; 
   dnewm=matrix(1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);        a[i][j]=sum; 
   doldm=matrix(1,(nlstate+ndeath)*(nlstate+ndeath),1,(nlstate+ndeath)*(nlstate+ndeath));        if ( (dum=vv[i]*fabs(sum)) >= big) { 
            big=dum; 
   cov[1]=1;          imax=i; 
   j=cptcoveff;        } 
   if (cptcovn<1) {j=1;ncodemax[1]=1;}      } 
   j1=0;      if (j != imax) { 
   for(k1=1; k1<=1;k1++){        for (k=1;k<=n;k++) { 
     for(i1=1; i1<=ncodemax[k1];i1++){          dum=a[imax][k]; 
     j1++;          a[imax][k]=a[j][k]; 
           a[j][k]=dum; 
     if  (cptcovn>0) {        } 
       fprintf(ficresprob, "\n#********** Variable ");        *d = -(*d); 
       for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprob, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);        vv[imax]=vv[j]; 
       fprintf(ficresprob, "**********\n#");      } 
     }      indx[j]=imax; 
          if (a[j][j] == 0.0) a[j][j]=TINY; 
       for (age=bage; age<=fage; age ++){      if (j != n) { 
         cov[2]=age;        dum=1.0/(a[j][j]); 
         for (k=1; k<=cptcovn;k++) {        for (i=j+1;i<=n;i++) a[i][j] *= dum; 
           cov[2+k]=nbcode[Tvar[k]][codtab[j1][Tvar[k]]];      } 
              } 
         }    free_vector(vv,1,n);  /* Doesn't work */
         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]]];  
          void lubksb(double **a, int n, int *indx, double b[]) 
         gradg=matrix(1,npar,1,9);  { 
         trgradg=matrix(1,9,1,npar);    int i,ii=0,ip,j; 
         gp=vector(1,(nlstate+ndeath)*(nlstate+ndeath));    double sum; 
         gm=vector(1,(nlstate+ndeath)*(nlstate+ndeath));   
        for (i=1;i<=n;i++) { 
         for(theta=1; theta <=npar; theta++){      ip=indx[i]; 
           for(i=1; i<=npar; i++)      sum=b[ip]; 
             xp[i] = x[i] + (i==theta ?delti[theta]:0);      b[ip]=b[i]; 
                if (ii) 
           pmij(pmmij,cov,ncovmodel,xp,nlstate);        for (j=ii;j<=i-1;j++) sum -= a[i][j]*b[j]; 
                else if (sum) ii=i; 
           k=0;      b[i]=sum; 
           for(i=1; i<= (nlstate+ndeath); i++){    } 
             for(j=1; j<=(nlstate+ndeath);j++){    for (i=n;i>=1;i--) { 
               k=k+1;      sum=b[i]; 
               gp[k]=pmmij[i][j];      for (j=i+1;j<=n;j++) sum -= a[i][j]*b[j]; 
             }      b[i]=sum/a[i][i]; 
           }    } 
            } 
           for(i=1; i<=npar; i++)  
             xp[i] = x[i] - (i==theta ?delti[theta]:0);  void pstamp(FILE *fichier)
      {
           pmij(pmmij,cov,ncovmodel,xp,nlstate);    fprintf(fichier,"# %s.%s\n#%s\n#%s\n# %s", optionfilefiname,optionfilext,version,fullversion,strstart);
           k=0;  }
           for(i=1; i<=(nlstate+ndeath); i++){  
             for(j=1; j<=(nlstate+ndeath);j++){  /************ Frequencies ********************/
               k=k+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[])
               gm[k]=pmmij[i][j];  {  /* Some frequencies */
             }    
           }    int i, m, jk, k1,i1, j1, bool, z1,z2,j;
          int first;
           for(i=1; i<= (nlstate+ndeath)*(nlstate+ndeath); i++)    double ***freq; /* Frequencies */
             gradg[theta][i]=(gp[i]-gm[i])/2./delti[theta];      double *pp, **prop;
         }    double pos,posprop, k2, dateintsum=0,k2cpt=0;
     char fileresp[FILENAMELENGTH];
         for(j=1; j<=(nlstate+ndeath)*(nlstate+ndeath);j++)    
           for(theta=1; theta <=npar; theta++)    pp=vector(1,nlstate);
             trgradg[j][theta]=gradg[theta][j];    prop=matrix(1,nlstate,iagemin,iagemax+3);
            strcpy(fileresp,"p");
         matprod2(dnewm,trgradg,1,9,1,npar,1,npar,matcov);    strcat(fileresp,fileres);
         matprod2(doldm,dnewm,1,9,1,npar,1,9,gradg);    if((ficresp=fopen(fileresp,"w"))==NULL) {
              printf("Problem with prevalence resultfile: %s\n", fileresp);
         pmij(pmmij,cov,ncovmodel,x,nlstate);      fprintf(ficlog,"Problem with prevalence resultfile: %s\n", fileresp);
              exit(0);
         k=0;    }
         for(i=1; i<=(nlstate+ndeath); i++){    freq= ma3x(-5,nlstate+ndeath,-5,nlstate+ndeath,iagemin,iagemax+3);
           for(j=1; j<=(nlstate+ndeath);j++){    j1=0;
             k=k+1;    
             gm[k]=pmmij[i][j];    j=cptcoveff;
           }    if (cptcovn<1) {j=1;ncodemax[1]=1;}
         }  
          first=1;
      /*printf("\n%d ",(int)age);  
      for (i=1; i<=(nlstate+ndeath)*(nlstate+ndeath-1);i++){    for(k1=1; k1<=j;k1++){
        printf("%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));      for(i1=1; i1<=ncodemax[k1];i1++){
      }*/        j1++;
         /*printf("cptcoveff=%d Tvaraff=%d", cptcoveff,Tvaraff[1]);
         fprintf(ficresprob,"\n%d ",(int)age);          scanf("%d", i);*/
         for (i=-5; i<=nlstate+ndeath; i++)  
         for (i=1; i<=(nlstate+ndeath)*(nlstate+ndeath-1);i++)          for (jk=-5; jk<=nlstate+ndeath; jk++)  
           fprintf(ficresprob,"%.3e (%.3e) ",gm[i],sqrt(doldm[i][i]));            for(m=iagemin; m <= iagemax+3; m++)
                freq[i][jk][m]=0;
       }  
     }      for (i=1; i<=nlstate; i++)  
     free_vector(gp,1,(nlstate+ndeath)*(nlstate+ndeath));        for(m=iagemin; m <= iagemax+3; m++)
     free_vector(gm,1,(nlstate+ndeath)*(nlstate+ndeath));          prop[i][m]=0;
     free_matrix(trgradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);        
     free_matrix(gradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);        dateintsum=0;
   }        k2cpt=0;
   free_vector(xp,1,npar);        for (i=1; i<=imx; i++) {
   fclose(ficresprob);          bool=1;
            if  (cptcovn>0) {
 }            for (z1=1; z1<=cptcoveff; z1++) 
               if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtab[j1][z1]]) 
 /******************* Printing html file ***********/                bool=0;
 void printinghtml(char fileres[], char title[], char datafile[], int firstpass, \          }
  int lastpass, int stepm, int weightopt, char model[],\          if (bool==1){
  int imx,int jmin, int jmax, double jmeanint,char optionfile[], \            for(m=firstpass; m<=lastpass; m++){
  char optionfilehtm[],char rfileres[], char optionfilegnuplot[],\              k2=anint[m][i]+(mint[m][i]/12.);
  char version[], int popforecast, int estepm ){              /*if ((k2>=dateprev1) && (k2<=dateprev2)) {*/
   int jj1, k1, i1, cpt;                if(agev[m][i]==0) agev[m][i]=iagemax+1;
   FILE *fichtm;                if(agev[m][i]==1) agev[m][i]=iagemax+2;
   /*char optionfilehtm[FILENAMELENGTH];*/                if (s[m][i]>0 && s[m][i]<=nlstate) prop[s[m][i]][(int)agev[m][i]] += weight[i];
                 if (m<lastpass) {
   strcpy(optionfilehtm,optionfile);                  freq[s[m][i]][s[m+1][i]][(int)agev[m][i]] += weight[i];
   strcat(optionfilehtm,".htm");                  freq[s[m][i]][s[m+1][i]][iagemax+3] += weight[i];
   if((fichtm=fopen(optionfilehtm,"w"))==NULL)    {                }
     printf("Problem with %s \n",optionfilehtm), exit(0);                
   }                if ((agev[m][i]>1) && (agev[m][i]< (iagemax+3))) {
                   dateintsum=dateintsum+k2;
  fprintf(fichtm,"<body> <font size=\"2\">%s </font> <hr size=\"2\" color=\"#EC5E5E\"> \n                  k2cpt++;
 Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=%s<br>\n                }
 \n                /*}*/
 Total number of observations=%d <br>\n            }
 Interval (in months) between two waves: Min=%d Max=%d Mean=%.2lf<br>\n          }
 <hr  size=\"2\" color=\"#EC5E5E\">        }
  <ul><li>Outputs files<br>\n         
  - Copy of the parameter file: <a href=\"o%s\">o%s</a><br>\n        /*      fprintf(ficresp, "#Count between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);*/
  - Gnuplot file name: <a href=\"%s\">%s</a><br>\n        pstamp(ficresp);
  - Observed prevalence in each state: <a href=\"p%s\">p%s</a> <br>\n        if  (cptcovn>0) {
  - Stationary prevalence in each state: <a href=\"pl%s\">pl%s</a> <br>\n          fprintf(ficresp, "\n#********** Variable "); 
  - Transition probabilities: <a href=\"pij%s\">pij%s</a><br>\n          for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresp, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
  - Life expectancies by age and initial health status (estepm=%2d months): <a href=\"e%s\">e%s</a> <br>\n",version,title,datafile,firstpass,lastpass,stepm, weightopt,model,imx,jmin,jmax,jmean,fileres,fileres,optionfilegnuplot,optionfilegnuplot,fileres,fileres,fileres,fileres,fileres,fileres,estepm,fileres,fileres);          fprintf(ficresp, "**********\n#");
         }
  fprintf(fichtm,"\n        for(i=1; i<=nlstate;i++) 
  - Parameter file with estimated parameters and the covariance matrix: <a href=\"%s\">%s</a> <br>\n          fprintf(ficresp, " Age Prev(%d) N(%d) N",i,i);
   - Variance of one-step probabilities: <a href=\"prob%s\">prob%s</a> <br>\n        fprintf(ficresp, "\n");
  - Variances of life expectancies by age and initial health status (estepm=%d months): <a href=\"v%s\">v%s</a><br>\n        
  - Health expectancies with their variances: <a href=\"t%s\">t%s</a> <br>\n        for(i=iagemin; i <= iagemax+3; i++){
  - Standard deviation of stationary prevalences: <a href=\"vpl%s\">vpl%s</a> <br>\n",rfileres,rfileres,fileres,fileres, estepm, fileres,fileres,fileres,fileres,fileres,fileres);          if(i==iagemax+3){
             fprintf(ficlog,"Total");
  if(popforecast==1) fprintf(fichtm,"\n          }else{
  - Prevalences forecasting: <a href=\"f%s\">f%s</a> <br>\n            if(first==1){
  - Population forecasting (if popforecast=1): <a href=\"pop%s\">pop%s</a> <br>\n              first=0;
         <br>",fileres,fileres,fileres,fileres);              printf("See log file for details...\n");
  else            }
    fprintf(fichtm,"\n No population forecast: popforecast = %d (instead of 1) or stepm = %d (instead of 1) or model=%s (instead of .)<br><br></li>\n",popforecast, stepm, model);            fprintf(ficlog,"Age %d", i);
 fprintf(fichtm," <li>Graphs</li><p>");          }
           for(jk=1; jk <=nlstate ; jk++){
  m=cptcoveff;            for(m=-1, pp[jk]=0; m <=nlstate+ndeath ; m++)
  if (cptcovn < 1) {m=1;ncodemax[1]=1;}              pp[jk] += freq[jk][m][i]; 
           }
  jj1=0;          for(jk=1; jk <=nlstate ; jk++){
  for(k1=1; k1<=m;k1++){            for(m=-1, pos=0; m <=0 ; m++)
    for(i1=1; i1<=ncodemax[k1];i1++){              pos += freq[jk][m][i];
        jj1++;            if(pp[jk]>=1.e-10){
        if (cptcovn > 0) {              if(first==1){
          fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");              printf(" %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);
          for (cpt=1; cpt<=cptcoveff;cpt++)              }
            fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtab[jj1][cpt]]);              fprintf(ficlog," %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);
          fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");            }else{
        }              if(first==1)
        fprintf(fichtm,"<br>- Probabilities: pe%s%d.gif<br>                printf(" %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);
 <img src=\"pe%s%d.gif\">",strtok(optionfile, "."),jj1,strtok(optionfile, "."),jj1);                  fprintf(ficlog," %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);
        for(cpt=1; cpt<nlstate;cpt++){            }
          fprintf(fichtm,"<br>- Prevalence of disability : p%s%d%d.gif<br>          }
 <img src=\"p%s%d%d.gif\">",strtok(optionfile, "."),cpt,jj1,strtok(optionfile, "."),cpt,jj1);  
        }          for(jk=1; jk <=nlstate ; jk++){
     for(cpt=1; cpt<=nlstate;cpt++) {            for(m=0, pp[jk]=0; m <=nlstate+ndeath; m++)
        fprintf(fichtm,"<br>- Observed and stationary prevalence (with confident              pp[jk] += freq[jk][m][i];
 interval) in state (%d): v%s%d%d.gif <br>          }       
 <img src=\"v%s%d%d.gif\">",cpt,strtok(optionfile, "."),cpt,jj1,strtok(optionfile, "."),cpt,jj1);            for(jk=1,pos=0,posprop=0; jk <=nlstate ; jk++){
      }            pos += pp[jk];
      for(cpt=1; cpt<=nlstate;cpt++) {            posprop += prop[jk][i];
         fprintf(fichtm,"\n<br>- Health life expectancies by age and initial health state (%d): exp%s%d%d.gif <br>          }
 <img src=\"exp%s%d%d.gif\">",cpt,strtok(optionfile, "."),cpt,jj1,strtok(optionfile, "."),cpt,jj1);          for(jk=1; jk <=nlstate ; jk++){
      }            if(pos>=1.e-5){
      fprintf(fichtm,"\n<br>- Total life expectancy by age and              if(first==1)
 health expectancies in states (1) and (2): e%s%d.gif<br>                printf(" %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);
 <img src=\"e%s%d.gif\">",strtok(optionfile, "."),jj1,strtok(optionfile, "."),jj1);              fprintf(ficlog," %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);
 fprintf(fichtm,"\n</body>");            }else{
    }              if(first==1)
    }                printf(" %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);
 fclose(fichtm);              fprintf(ficlog," %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);
 }            }
             if( i <= iagemax){
 /******************* Gnuplot file **************/              if(pos>=1.e-5){
 void printinggnuplot(char fileres[],char optionfilefiname[],char optionfile[],char optionfilegnuplot[], double ageminpar, double agemaxpar, double fage , char pathc[], double p[]){                fprintf(ficresp," %d %.5f %.0f %.0f",i,prop[jk][i]/posprop, prop[jk][i],posprop);
                 /*probs[i][jk][j1]= pp[jk]/pos;*/
   int m,cpt,k1,i,k,j,jk,k2,k3,ij,l;                /*printf("\ni=%d jk=%d j1=%d %.5f %.0f %.0f %f",i,jk,j1,pp[jk]/pos, pp[jk],pos,probs[i][jk][j1]);*/
               }
   strcpy(optionfilegnuplot,optionfilefiname);              else
   strcat(optionfilegnuplot,".gp.txt");                fprintf(ficresp," %d NaNq %.0f %.0f",i,prop[jk][i],posprop);
   if((ficgp=fopen(optionfilegnuplot,"w"))==NULL) {            }
     printf("Problem with file %s",optionfilegnuplot);          }
   }          
           for(jk=-1; jk <=nlstate+ndeath; jk++)
 #ifdef windows            for(m=-1; m <=nlstate+ndeath; m++)
     fprintf(ficgp,"cd \"%s\" \n",pathc);              if(freq[jk][m][i] !=0 ) {
 #endif              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]);
  /* 1eme*/              }
   for (cpt=1; cpt<= nlstate ; cpt ++) {          if(i <= iagemax)
    for (k1=1; k1<= m ; k1 ++) {            fprintf(ficresp,"\n");
           if(first==1)
      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",ageminpar,fage,fileres,k1-1,k1-1);            printf("Others in log...\n");
           fprintf(ficlog,"\n");
 for (i=1; i<= nlstate ; i ++) {        }
   if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");      }
   else fprintf(ficgp," \%%*lf (\%%*lf)");    }
 }    dateintmean=dateintsum/k2cpt; 
     fprintf(ficgp,"\" t\"Stationary prevalence\" w l 0,\"vpl%s\" every :::%d::%d u 1:($2+2*$3) \"\%%lf",fileres,k1-1,k1-1);   
     for (i=1; i<= nlstate ; i ++) {    fclose(ficresp);
   if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");    free_ma3x(freq,-5,nlstate+ndeath,-5,nlstate+ndeath, iagemin, iagemax+3);
   else fprintf(ficgp," \%%*lf (\%%*lf)");    free_vector(pp,1,nlstate);
 }    free_matrix(prop,1,nlstate,iagemin, iagemax+3);
   fprintf(ficgp,"\" t\"95\%% CI\" w l 1,\"vpl%s\" every :::%d::%d u 1:($2-2*$3) \"\%%lf",fileres,k1-1,k1-1);    /* End of Freq */
      for (i=1; i<= nlstate ; i ++) {  }
   if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");  
   else fprintf(ficgp," \%%*lf (\%%*lf)");  /************ Prevalence ********************/
 }    void prevalence(double ***probs, double agemin, double agemax, int **s, double **agev, int nlstate, int imx, int *Tvar, int **nbcode, int *ncodemax,double **mint,double **anint, double dateprev1,double dateprev2, int firstpass, int lastpass)
      fprintf(ficgp,"\" t\"\" w l 1,\"p%s\" every :::%d::%d u 1:($%d) t\"Observed prevalence \" w l 2",fileres,k1-1,k1-1,2+4*(cpt-1));  {  
     /* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people
 fprintf(ficgp,"\nset out \"v%s%d%d.gif\" \nreplot\n\n",strtok(optionfile, "."),cpt,k1);       in each health status at the date of interview (if between dateprev1 and dateprev2).
    }       We still use firstpass and lastpass as another selection.
   }    */
   /*2 eme*/   
     int i, m, jk, k1, i1, j1, bool, z1,z2,j;
   for (k1=1; k1<= m ; k1 ++) {    double ***freq; /* Frequencies */
     fprintf(ficgp,"set ylabel \"Years\" \nset ter gif small size 400,300\nplot [%.f:%.f] ",ageminpar,fage);    double *pp, **prop;
        double pos,posprop; 
     for (i=1; i<= nlstate+1 ; i ++) {    double  y2; /* in fractional years */
       k=2*i;    int iagemin, iagemax;
       fprintf(ficgp,"\"t%s\" every :::%d::%d u 1:2 \"\%%lf",fileres,k1-1,k1-1);  
       for (j=1; j<= nlstate+1 ; j ++) {    iagemin= (int) agemin;
   if (j==i) fprintf(ficgp," \%%lf (\%%lf)");    iagemax= (int) agemax;
   else fprintf(ficgp," \%%*lf (\%%*lf)");    /*pp=vector(1,nlstate);*/
 }      prop=matrix(1,nlstate,iagemin,iagemax+3); 
       if (i== 1) fprintf(ficgp,"\" t\"TLE\" w l ,");    /*  freq=ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,iagemin,iagemax+3);*/
       else fprintf(ficgp,"\" t\"LE in state (%d)\" w l ,",i-1);    j1=0;
     fprintf(ficgp,"\"t%s\" every :::%d::%d u 1:($2-$3*2) \"\%%lf",fileres,k1-1,k1-1);    
       for (j=1; j<= nlstate+1 ; j ++) {    j=cptcoveff;
         if (j==i) fprintf(ficgp," \%%lf (\%%lf)");    if (cptcovn<1) {j=1;ncodemax[1]=1;}
         else fprintf(ficgp," \%%*lf (\%%*lf)");    
 }      for(k1=1; k1<=j;k1++){
       fprintf(ficgp,"\" t\"\" w l 0,");      for(i1=1; i1<=ncodemax[k1];i1++){
      fprintf(ficgp,"\"t%s\" every :::%d::%d u 1:($2+$3*2) \"\%%lf",fileres,k1-1,k1-1);        j1++;
       for (j=1; j<= nlstate+1 ; j ++) {        
   if (j==i) fprintf(ficgp," \%%lf (\%%lf)");        for (i=1; i<=nlstate; i++)  
   else fprintf(ficgp," \%%*lf (\%%*lf)");          for(m=iagemin; m <= iagemax+3; m++)
 }              prop[i][m]=0.0;
       if (i== (nlstate+1)) fprintf(ficgp,"\" t\"\" w l 0");       
       else fprintf(ficgp,"\" t\"\" w l 0,");        for (i=1; i<=imx; i++) { /* Each individual */
     }          bool=1;
     fprintf(ficgp,"\nset out \"e%s%d.gif\" \nreplot\n\n",strtok(optionfile, "."),k1);          if  (cptcovn>0) {
   }            for (z1=1; z1<=cptcoveff; z1++) 
                if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtab[j1][z1]]) 
   /*3eme*/                bool=0;
           } 
   for (k1=1; k1<= m ; k1 ++) {          if (bool==1) { 
     for (cpt=1; cpt<= nlstate ; cpt ++) {            for(m=firstpass; m<=lastpass; m++){/* Other selection (we can limit to certain interviews*/
       k=2+nlstate*(2*cpt-2);              y2=anint[m][i]+(mint[m][i]/12.); /* Fractional date in year */
       fprintf(ficgp,"set ter gif small size 400,300\nplot [%.f:%.f] \"e%s\" every :::%d::%d u 1:%d t \"e%d1\" w l",ageminpar,fage,fileres,k1-1,k1-1,k,cpt);              if ((y2>=dateprev1) && (y2<=dateprev2)) { /* Here is the main selection (fractional years) */
       /*fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d-2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);                if(agev[m][i]==0) agev[m][i]=iagemax+1;
  for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");                if(agev[m][i]==1) agev[m][i]=iagemax+2;
 fprintf(ficgp,"\" t \"e%d1\" w l",cpt);                if((int)agev[m][i] <iagemin || (int)agev[m][i] >iagemax+3) printf("Error on individual =%d agev[m][i]=%f m=%d\n",i, agev[m][i],m); 
 fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d+2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);                if (s[m][i]>0 && s[m][i]<=nlstate) { 
  for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");                  /*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]]);*/
 fprintf(ficgp,"\" t \"e%d1\" w l",cpt);                  prop[s[m][i]][(int)agev[m][i]] += weight[i];
                   prop[s[m][i]][iagemax+3] += weight[i]; 
 */                } 
       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+2*i,cpt,i+1);            } /* end selection of waves */
           }
       }        }
       fprintf(ficgp,"\nset out \"exp%s%d%d.gif\" \nreplot\n\n",strtok(optionfile, "."),cpt,k1);        for(i=iagemin; i <= iagemax+3; i++){  
     }          
     }          for(jk=1,posprop=0; jk <=nlstate ; jk++) { 
              posprop += prop[jk][i]; 
   /* CV preval stat */          } 
     for (k1=1; k1<= m ; k1 ++) {  
     for (cpt=1; cpt<nlstate ; cpt ++) {          for(jk=1; jk <=nlstate ; jk++){     
       k=3;            if( i <=  iagemax){ 
       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/($%d",ageminpar,agemaxpar,fileres,k1,k+cpt+1,k+1);              if(posprop>=1.e-5){ 
                 probs[i][jk][j1]= prop[jk][i]/posprop;
       for (i=1; i< nlstate ; i ++)              } 
         fprintf(ficgp,"+$%d",k+i+1);            } 
       fprintf(ficgp,")) t\"prev(%d,%d)\" w l",cpt,cpt+1);          }/* end jk */ 
              }/* end i */ 
       l=3+(nlstate+ndeath)*cpt;      } /* end i1 */
       fprintf(ficgp,",\"pij%s\" u ($1==%d ? ($3):1/0):($%d/($%d",fileres,k1,l+cpt+1,l+1);    } /* end k1 */
       for (i=1; i< nlstate ; i ++) {    
         l=3+(nlstate+ndeath)*cpt;    /*  free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath, iagemin, iagemax+3);*/
         fprintf(ficgp,"+$%d",l+i+1);    /*free_vector(pp,1,nlstate);*/
       }    free_matrix(prop,1,nlstate, iagemin,iagemax+3);
       fprintf(ficgp,")) t\"prev(%d,%d)\" w l\n",cpt+1,cpt+1);    }  /* End of prevalence */
       fprintf(ficgp,"set out \"p%s%d%d.gif\" \nreplot\n\n",strtok(optionfile, "."),cpt,k1);  
     }  /************* Waves Concatenation ***************/
   }    
    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)
   /* proba elementaires */  {
    for(i=1,jk=1; i <=nlstate; i++){    /* Concatenates waves: wav[i] is the number of effective (useful waves) of individual i.
     for(k=1; k <=(nlstate+ndeath); k++){       Death is a valid wave (if date is known).
       if (k != i) {       mw[mi][i] is the mi (mi=1 to wav[i])  effective wave of individual i
         for(j=1; j <=ncovmodel; j++){       dh[m][i] or dh[mw[mi][i]][i] is the delay between two effective waves m=mw[mi][i]
               and mw[mi+1][i]. dh depends on stepm.
           fprintf(ficgp,"p%d=%f ",jk,p[jk]);       */
           jk++;  
           fprintf(ficgp,"\n");    int i, mi, m;
         }    /* int j, k=0,jk, ju, jl,jmin=1e+5, jmax=-1;
       }       double sum=0., jmean=0.;*/
     }    int first;
     }    int j, k=0,jk, ju, jl;
     double sum=0.;
     for(jk=1; jk <=m; jk++) {    first=0;
   fprintf(ficgp,"\nset ter gif small size 400,300\nset log y\nplot  [%.f:%.f] ",ageminpar,agemaxpar);    jmin=1e+5;
    i=1;    jmax=-1;
    for(k2=1; k2<=nlstate; k2++) {    jmean=0.;
      k3=i;    for(i=1; i<=imx; i++){
      for(k=1; k<=(nlstate+ndeath); k++) {      mi=0;
        if (k != k2){      m=firstpass;
         fprintf(ficgp," exp(p%d+p%d*x",i,i+1);      while(s[m][i] <= nlstate){
 ij=1;        if(s[m][i]>=1 || s[m][i]==-2 || s[m][i]==-4 || s[m][i]==-5)
         for(j=3; j <=ncovmodel; j++) {          mw[++mi][i]=m;
           if(((j-2)==Tage[ij]) &&(ij <=cptcovage)) {        if(m >=lastpass)
             fprintf(ficgp,"+p%d*%d*x",i+j-1,nbcode[Tvar[j-2]][codtab[jk][Tvar[j-2]]]);          break;
             ij++;        else
           }          m++;
           else      }/* end while */
           fprintf(ficgp,"+p%d*%d",i+j-1,nbcode[Tvar[j-2]][codtab[jk][j-2]]);      if (s[m][i] > nlstate){
         }        mi++;     /* Death is another wave */
           fprintf(ficgp,")/(1");        /* if(mi==0)  never been interviewed correctly before death */
                   /* Only death is a correct wave */
         for(k1=1; k1 <=nlstate; k1++){          mw[mi][i]=m;
           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++){      wav[i]=mi;
           if(((j-2)==Tage[ij]) &&(ij <=cptcovage)) {      if(mi==0){
             fprintf(ficgp,"+p%d*%d*x",k3+(k1-1)*ncovmodel+1+j-2,nbcode[Tvar[j-2]][codtab[jk][Tvar[j-2]]]);        nbwarn++;
             ij++;        if(first==0){
           }          printf("Warning! No valid information for individual %ld line=%d (skipped) and may be others, see log file\n",num[i],i);
           else          first=1;
             fprintf(ficgp,"+p%d*%d",k3+(k1-1)*ncovmodel+1+j-2,nbcode[Tvar[j-2]][codtab[jk][j-2]]);        }
           }        if(first==1){
           fprintf(ficgp,")");          fprintf(ficlog,"Warning! No valid information for individual %ld line=%d (skipped)\n",num[i],i);
         }        }
         fprintf(ficgp,") t \"p%d%d\" ", k2,k);      } /* end mi==0 */
         if ((k+k2)!= (nlstate*2+ndeath)) fprintf(ficgp,",");    } /* End individuals */
         i=i+ncovmodel;  
        }    for(i=1; i<=imx; i++){
      }      for(mi=1; mi<wav[i];mi++){
    }        if (stepm <=0)
    fprintf(ficgp,"\nset out \"pe%s%d.gif\" \nreplot\n\n",strtok(optionfile, "."),jk);          dh[mi][i]=1;
    }        else{
              if (s[mw[mi+1][i]][i] > nlstate) { /* A death */
   fclose(ficgp);            if (agedc[i] < 2*AGESUP) {
 }  /* end gnuplot */              j= rint(agedc[i]*12-agev[mw[mi][i]][i]*12); 
               if(j==0) j=1;  /* Survives at least one month after exam */
               else if(j<0){
 /*************** Moving average **************/                nberr++;
 void movingaverage(double agedeb, double fage,double ageminpar, double ***mobaverage){                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]);
                 j=1; /* Temporary Dangerous patch */
   int i, cpt, cptcod;                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);
     for (agedeb=ageminpar; agedeb<=fage; agedeb++)                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]);
       for (i=1; i<=nlstate;i++)                fprintf(ficlog,"   We assumed that the date of interview was correct (and not the date of death) and postponed the death %d month(s) (one stepm) after the interview. You MUST fix the contradiction between dates.\n",stepm);
         for (cptcod=1;cptcod<=ncodemax[cptcov];cptcod++)              }
           mobaverage[(int)agedeb][i][cptcod]=0.;              k=k+1;
                  if (j >= jmax){
     for (agedeb=ageminpar+4; agedeb<=fage; agedeb++){                jmax=j;
       for (i=1; i<=nlstate;i++){                ijmax=i;
         for (cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){              }
           for (cpt=0;cpt<=4;cpt++){              if (j <= jmin){
             mobaverage[(int)agedeb-2][i][cptcod]=mobaverage[(int)agedeb-2][i][cptcod]+probs[(int)agedeb-cpt][i][cptcod];                jmin=j;
           }                ijmin=i;
           mobaverage[(int)agedeb-2][i][cptcod]=mobaverage[(int)agedeb-2][i][cptcod]/5;              }
         }              sum=sum+j;
       }              /*if (j<0) printf("j=%d num=%d \n",j,i);*/
     }              /*    printf("%d %d %d %d\n", s[mw[mi][i]][i] ,s[mw[mi+1][i]][i],j,i);*/
                }
 }          }
           else{
             j= rint( (agev[mw[mi+1][i]][i]*12 - agev[mw[mi][i]][i]*12));
 /************** Forecasting ******************/  /*        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]); */
 prevforecast(char fileres[], double anproj1,double mproj1,double jproj1,double ageminpar, double agemax,double dateprev1, double dateprev2, int mobilav, double agedeb, double fage, int popforecast, char popfile[], double anproj2,double p[], int i2){  
              k=k+1;
   int cpt, stepsize, hstepm, nhstepm, j,k,c, cptcod, i,h;            if (j >= jmax) {
   int *popage;              jmax=j;
   double calagedate, agelim, kk1, kk2, yp,yp1,yp2,jprojmean,mprojmean,anprojmean;              ijmax=i;
   double *popeffectif,*popcount;            }
   double ***p3mat;            else if (j <= jmin){
   char fileresf[FILENAMELENGTH];              jmin=j;
               ijmin=i;
  agelim=AGESUP;            }
 calagedate=(anproj1+mproj1/12.+jproj1/365.-dateintmean)*YEARM;            /*        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]);*/
   prevalence(ageminpar, agemax, s, agev, nlstate, imx,Tvar,nbcode, ncodemax,mint,anint,dateprev1,dateprev2, calagedate);            if(j<0){
                nberr++;
                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]);
   strcpy(fileresf,"f");              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]);
   strcat(fileresf,fileres);            }
   if((ficresf=fopen(fileresf,"w"))==NULL) {            sum=sum+j;
     printf("Problem with forecast resultfile: %s\n", fileresf);          }
   }          jk= j/stepm;
   printf("Computing forecasting: result on file '%s' \n", fileresf);          jl= j -jk*stepm;
           ju= j -(jk+1)*stepm;
   if (cptcoveff==0) ncodemax[cptcoveff]=1;          if(mle <=1){ /* only if we use a the linear-interpoloation pseudo-likelihood */
             if(jl==0){
   if (mobilav==1) {              dh[mi][i]=jk;
     mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);              bh[mi][i]=0;
     movingaverage(agedeb, fage, ageminpar, mobaverage);            }else{ /* We want a negative bias in order to only have interpolation ie
   }                    * at the price of an extra matrix product in likelihood */
               dh[mi][i]=jk+1;
   stepsize=(int) (stepm+YEARM-1)/YEARM;              bh[mi][i]=ju;
   if (stepm<=12) stepsize=1;            }
            }else{
   agelim=AGESUP;            if(jl <= -ju){
                dh[mi][i]=jk;
   hstepm=1;              bh[mi][i]=jl;       /* bias is positive if real duration
   hstepm=hstepm/stepm;                                   * is higher than the multiple of stepm and negative otherwise.
   yp1=modf(dateintmean,&yp);                                   */
   anprojmean=yp;            }
   yp2=modf((yp1*12),&yp);            else{
   mprojmean=yp;              dh[mi][i]=jk+1;
   yp1=modf((yp2*30.5),&yp);              bh[mi][i]=ju;
   jprojmean=yp;            }
   if(jprojmean==0) jprojmean=1;            if(dh[mi][i]==0){
   if(mprojmean==0) jprojmean=1;              dh[mi][i]=1; /* At least one step */
                bh[mi][i]=ju; /* At least one step */
   fprintf(ficresf,"# Estimated date of observed prevalence: %.lf/%.lf/%.lf ",jprojmean,mprojmean,anprojmean);              /*  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(cptcov=1;cptcov<=i2;cptcov++){          } /* end if mle */
     for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){        }
       k=k+1;      } /* end wave */
       fprintf(ficresf,"\n#******");    }
       for(j=1;j<=cptcoveff;j++) {    jmean=sum/k;
         fprintf(ficresf," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);    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);
       }    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(ficresf,"******\n");   }
       fprintf(ficresf,"# StartingAge FinalAge");  
       for(j=1; j<=nlstate+ndeath;j++) fprintf(ficresf," P.%d",j);  /*********** Tricode ****************************/
        void tricode(int *Tvar, int **nbcode, int imx)
        {
       for (cpt=0; cpt<=(anproj2-anproj1);cpt++) {    
         fprintf(ficresf,"\n");    int Ndum[20],ij=1, k, j, i, maxncov=19;
         fprintf(ficresf,"\n# Forecasting at date %.lf/%.lf/%.lf ",jproj1,mproj1,anproj1+cpt);      int cptcode=0;
     cptcoveff=0; 
         for (agedeb=(fage-((int)calagedate %12/12.)); agedeb>=(ageminpar-((int)calagedate %12)/12.); agedeb--){   
           nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm);    for (k=0; k<maxncov; k++) Ndum[k]=0;
           nhstepm = nhstepm/hstepm;    for (k=1; k<=7; k++) ncodemax[k]=0;
            
           p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);    for (j=1; j<=(cptcovn+2*cptcovprod); j++) {
           oldm=oldms;savm=savms;      for (i=1; i<=imx; i++) { /*reads the data file to get the maximum 
           hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);                                   modality*/ 
                ij=(int)(covar[Tvar[j]][i]); /* ij is the modality of this individual*/
           for (h=0; h<=nhstepm; h++){        Ndum[ij]++; /*store the modality */
             if (h==(int) (calagedate+YEARM*cpt)) {        /*printf("i=%d ij=%d Ndum[ij]=%d imx=%d",i,ij,Ndum[ij],imx);*/
               fprintf(ficresf,"\n %.f %.f ",anproj1+cpt,agedeb+h*hstepm/YEARM*stepm);        if (ij > cptcode) cptcode=ij; /* getting the maximum of covariable 
             }                                         Tvar[j]. If V=sex and male is 0 and 
             for(j=1; j<=nlstate+ndeath;j++) {                                         female is 1, then  cptcode=1.*/
               kk1=0.;kk2=0;      }
               for(i=1; i<=nlstate;i++) {                
                 if (mobilav==1)      for (i=0; i<=cptcode; i++) {
                   kk1=kk1+p3mat[i][j][h]*mobaverage[(int)agedeb+1][i][cptcod];        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 */
                 else {      }
                   kk1=kk1+p3mat[i][j][h]*probs[(int)(agedeb+1)][i][cptcod];  
                 }      ij=1; 
                      for (i=1; i<=ncodemax[j]; i++) {
               }        for (k=0; k<= maxncov; k++) {
               if (h==(int)(calagedate+12*cpt)){          if (Ndum[k] != 0) {
                 fprintf(ficresf," %.3f", kk1);            nbcode[Tvar[j]][ij]=k; 
                                    /* store the modality in an array. k is a modality. If we have model=V1+V1*sex then: nbcode[1][1]=0 ; nbcode[1][2]=1; nbcode[2][1]=0 ; nbcode[2][2]=1; */
               }            
             }            ij++;
           }          }
           free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);          if (ij > ncodemax[j]) break; 
         }        }  
       }      } 
     }    }  
   }  
           for (k=0; k< maxncov; k++) Ndum[k]=0;
   if (mobilav==1) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);  
    for (i=1; i<=ncovmodel-2; i++) { 
   fclose(ficresf);     /* 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];
 /************** Forecasting ******************/     Ndum[ij]++;
 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;   ij=1;
   int *popage;   for (i=1; i<= maxncov; i++) {
   double calagedate, agelim, kk1, kk2, yp,yp1,yp2,jprojmean,mprojmean,anprojmean;     if((Ndum[i]!=0) && (i<=ncovcol)){
   double *popeffectif,*popcount;       Tvaraff[ij]=i; /*For printing */
   double ***p3mat,***tabpop,***tabpopprev;       ij++;
   char filerespop[FILENAMELENGTH];     }
    }
   tabpop= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);   
   tabpopprev= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);   cptcoveff=ij-1; /*Number of simple covariates*/
   agelim=AGESUP;  }
   calagedate=(anpyram+mpyram/12.+jpyram/365.-dateintmean)*YEARM;  
    /*********** Health Expectancies ****************/
   prevalence(ageminpar, agemax, s, agev, nlstate, imx,Tvar,nbcode, ncodemax,mint,anint,dateprev1,dateprev2, calagedate);  
    void evsij(char fileres[], double ***eij, double x[], int nlstate, int stepm, int bage, int fage, double **oldm, double **savm, int cij, int estepm,char strstart[] )
    
   strcpy(filerespop,"pop");  {
   strcat(filerespop,fileres);    /* Health expectancies, no variances */
   if((ficrespop=fopen(filerespop,"w"))==NULL) {    int i, j, nhstepm, hstepm, h, nstepm, k, cptj, cptj2, i2, j2;
     printf("Problem with forecast resultfile: %s\n", filerespop);    double age, agelim, hf;
   }    double ***p3mat;
   printf("Computing forecasting: result on file '%s' \n", filerespop);    double eip;
   
   if (cptcoveff==0) ncodemax[cptcoveff]=1;    pstamp(ficreseij);
     fprintf(ficreseij,"# (a) Life expectancies by health status at initial age and (b) health expectancies by health status at initial age\n");
   if (mobilav==1) {    fprintf(ficreseij,"# Age");
     mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);    for(i=1; i<=nlstate;i++){
     movingaverage(agedeb, fage, ageminpar, mobaverage);      for(j=1; j<=nlstate;j++){
   }        fprintf(ficreseij," e%1d%1d ",i,j);
       }
   stepsize=(int) (stepm+YEARM-1)/YEARM;      fprintf(ficreseij," e%1d. ",i);
   if (stepm<=12) stepsize=1;    }
      fprintf(ficreseij,"\n");
   agelim=AGESUP;  
      
   hstepm=1;    if(estepm < stepm){
   hstepm=hstepm/stepm;      printf ("Problem %d lower than %d\n",estepm, stepm);
      }
   if (popforecast==1) {    else  hstepm=estepm;   
     if((ficpop=fopen(popfile,"r"))==NULL) {    /* We compute the life expectancy from trapezoids spaced every estepm months
       printf("Problem with population file : %s\n",popfile);exit(0);     * This is mainly to measure the difference between two models: for example
     }     * if stepm=24 months pijx are given only every 2 years and by summing them
     popage=ivector(0,AGESUP);     * we are calculating an estimate of the Life Expectancy assuming a linear 
     popeffectif=vector(0,AGESUP);     * progression in between and thus overestimating or underestimating according
     popcount=vector(0,AGESUP);     * 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
     i=1;       * to compare the new estimate of Life expectancy with the same linear 
     while ((c=fscanf(ficpop,"%d %lf\n",&popage[i],&popcount[i])) != EOF) i=i+1;     * hypothesis. A more precise result, taking into account a more precise
         * curvature will be obtained if estepm is as small as stepm. */
     imx=i;  
     for (i=1; i<imx;i++) popeffectif[popage[i]]=popcount[i];    /* For example we decided to compute the life expectancy with the smallest unit */
   }    /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
        nhstepm is the number of hstepm from age to agelim 
   for(cptcov=1;cptcov<=i2;cptcov++){       nstepm is the number of stepm from age to agelin. 
    for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){       Look at hpijx to understand the reason of that which relies in memory size
       k=k+1;       and note for a fixed period like estepm months */
       fprintf(ficrespop,"\n#******");    /* We decided (b) to get a life expectancy respecting the most precise curvature of the
       for(j=1;j<=cptcoveff;j++) {       survival function given by stepm (the optimization length). Unfortunately it
         fprintf(ficrespop," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);       means that if the survival funtion is printed only each two years of age and if
       }       you sum them up and add 1 year (area under the trapezoids) you won't get the same 
       fprintf(ficrespop,"******\n");       results. So we changed our mind and took the option of the best precision.
       fprintf(ficrespop,"# Age");    */
       for(j=1; j<=nlstate+ndeath;j++) fprintf(ficrespop," P.%d",j);    hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
       if (popforecast==1)  fprintf(ficrespop," [Population]");  
          agelim=AGESUP;
       for (cpt=0; cpt<=0;cpt++) {    /* nhstepm age range expressed in number of stepm */
         fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);      nstepm=(int) rint((agelim-age)*YEARM/stepm); 
            /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
         for (agedeb=(fage-((int)calagedate %12/12.)); agedeb>=(ageminpar-((int)calagedate %12)/12.); agedeb--){    /* if (stepm >= YEARM) hstepm=1;*/
           nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm);    nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
           nhstepm = nhstepm/hstepm;    p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
            
           p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);    for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
           oldm=oldms;savm=savms;      /* Computed by stepm unit matrices, product of hstepm matrices, stored
           hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);           in an array of nhstepm length: nhstepm=10, hstepm=4, stepm=6 months */
              
           for (h=0; h<=nhstepm; h++){      hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm, savm, cij);  
             if (h==(int) (calagedate+YEARM*cpt)) {      
               fprintf(ficrespop,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm);      hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
             }      
             for(j=1; j<=nlstate+ndeath;j++) {      printf("%d|",(int)age);fflush(stdout);
               kk1=0.;kk2=0;      fprintf(ficlog,"%d|",(int)age);fflush(ficlog);
               for(i=1; i<=nlstate;i++) {                    
                 if (mobilav==1)      /* Computing expectancies */
                   kk1=kk1+p3mat[i][j][h]*mobaverage[(int)agedeb+1][i][cptcod];      for(i=1; i<=nlstate;i++)
                 else {        for(j=1; j<=nlstate;j++)
                   kk1=kk1+p3mat[i][j][h]*probs[(int)(agedeb+1)][i][cptcod];          for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){
                 }            eij[i][j][(int)age] += (p3mat[i][j][h]+p3mat[i][j][h+1])/2.0*hf;
               }            
               if (h==(int)(calagedate+12*cpt)){            /* 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]);*/
                 tabpop[(int)(agedeb)][j][cptcod]=kk1;  
                   /*fprintf(ficrespop," %.3f", kk1);          }
                     if (popforecast==1) fprintf(ficrespop," [%.f]", kk1*popeffectif[(int)agedeb+1]);*/  
               }      fprintf(ficreseij,"%3.0f",age );
             }      for(i=1; i<=nlstate;i++){
             for(i=1; i<=nlstate;i++){        eip=0;
               kk1=0.;        for(j=1; j<=nlstate;j++){
                 for(j=1; j<=nlstate;j++){          eip +=eij[i][j][(int)age];
                   kk1= kk1+tabpop[(int)(agedeb)][j][cptcod];          fprintf(ficreseij,"%9.4f", eij[i][j][(int)age] );
                 }        }
                   tabpopprev[(int)(agedeb)][i][cptcod]=tabpop[(int)(agedeb)][i][cptcod]/kk1*popeffectif[(int)(agedeb+(calagedate+12*cpt)*hstepm/YEARM*stepm-1)];        fprintf(ficreseij,"%9.4f", eip );
             }      }
       fprintf(ficreseij,"\n");
             if (h==(int)(calagedate+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);
           free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);    printf("\n");
         }    fprintf(ficlog,"\n");
       }    
    }
   /******/  
   void cvevsij(char fileres[], double ***eij, double x[], int nlstate, int stepm, int bage, int fage, double **oldm, double **savm, int cij, int estepm,double delti[],double **matcov,char strstart[] )
       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)calagedate %12/12.)); agedeb>=(ageminpar-((int)calagedate %12)/12.); agedeb--){    /* Covariances of health expectancies eij and of total life expectancies according
           nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm);     to initial status i, ei. .
           nhstepm = nhstepm/hstepm;    */
              int i, j, nhstepm, hstepm, h, nstepm, k, cptj, cptj2, i2, j2, ij, ji;
           p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);    double age, agelim, hf;
           oldm=oldms;savm=savms;    double ***p3matp, ***p3matm, ***varhe;
           hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);      double **dnewm,**doldm;
           for (h=0; h<=nhstepm; h++){    double *xp, *xm;
             if (h==(int) (calagedate+YEARM*cpt)) {    double **gp, **gm;
               fprintf(ficresf,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm);    double ***gradg, ***trgradg;
             }    int theta;
             for(j=1; j<=nlstate+ndeath;j++) {  
               kk1=0.;kk2=0;    double eip, vip;
               for(i=1; i<=nlstate;i++) {                
                 kk1=kk1+p3mat[i][j][h]*tabpopprev[(int)agedeb+1][i][cptcod];        varhe=ma3x(1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int) fage);
               }    xp=vector(1,npar);
               if (h==(int)(calagedate+12*cpt)) fprintf(ficresf," %15.2f", kk1);    xm=vector(1,npar);
             }    dnewm=matrix(1,nlstate*nlstate,1,npar);
           }    doldm=matrix(1,nlstate*nlstate,1,nlstate*nlstate);
           free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);    
         }    pstamp(ficresstdeij);
       }    fprintf(ficresstdeij,"# Health expectancies with standard errors\n");
    }    fprintf(ficresstdeij,"# Age");
   }    for(i=1; i<=nlstate;i++){
        for(j=1; j<=nlstate;j++)
   if (mobilav==1) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);        fprintf(ficresstdeij," e%1d%1d (SE)",i,j);
       fprintf(ficresstdeij," e%1d. ",i);
   if (popforecast==1) {    }
     free_ivector(popage,0,AGESUP);    fprintf(ficresstdeij,"\n");
     free_vector(popeffectif,0,AGESUP);  
     free_vector(popcount,0,AGESUP);    pstamp(ficrescveij);
   }    fprintf(ficrescveij,"# Subdiagonal matrix of covariances of health expectancies by age: cov(eij,ekl)\n");
   free_ma3x(tabpop,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);    fprintf(ficrescveij,"# Age");
   free_ma3x(tabpopprev,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);    for(i=1; i<=nlstate;i++)
   fclose(ficrespop);      for(j=1; j<=nlstate;j++){
 }        cptj= (j-1)*nlstate+i;
         for(i2=1; i2<=nlstate;i2++)
 /***********************************************/          for(j2=1; j2<=nlstate;j2++){
 /**************** Main Program *****************/            cptj2= (j2-1)*nlstate+i2;
 /***********************************************/            if(cptj2 <= cptj)
               fprintf(ficrescveij,"  %1d%1d,%1d%1d",i,j,i2,j2);
 int main(int argc, char *argv[])          }
 {      }
     fprintf(ficrescveij,"\n");
   int i,j, k, n=MAXN,iter,m,size,cptcode, cptcod;    
   double agedeb, agefin,hf;    if(estepm < stepm){
   double ageminpar=1.e20,agemin=1.e20, agemaxpar=-1.e20, agemax=-1.e20;      printf ("Problem %d lower than %d\n",estepm, stepm);
     }
   double fret;    else  hstepm=estepm;   
   double **xi,tmp,delta;    /* We compute the life expectancy from trapezoids spaced every estepm months
      * This is mainly to measure the difference between two models: for example
   double dum; /* Dummy variable */     * if stepm=24 months pijx are given only every 2 years and by summing them
   double ***p3mat;     * we are calculating an estimate of the Life Expectancy assuming a linear 
   int *indx;     * progression in between and thus overestimating or underestimating according
   char line[MAXLINE], linepar[MAXLINE];     * to the curvature of the survival function. If, for the same date, we 
   char title[MAXLINE];     * estimate the model with stepm=1 month, we can keep estepm to 24 months
   char optionfile[FILENAMELENGTH], datafile[FILENAMELENGTH],  filerespl[FILENAMELENGTH];     * to compare the new estimate of Life expectancy with the same linear 
   char optionfilext[10], optionfilefiname[FILENAMELENGTH], optionfilehtm[FILENAMELENGTH], optionfilegnuplot[FILENAMELENGTH], plotcmd[FILENAMELENGTH];     * hypothesis. A more precise result, taking into account a more precise
       * curvature will be obtained if estepm is as small as stepm. */
   char fileres[FILENAMELENGTH], filerespij[FILENAMELENGTH], filereso[FILENAMELENGTH], rfileres[FILENAMELENGTH];  
     /* For example we decided to compute the life expectancy with the smallest unit */
   char filerest[FILENAMELENGTH];    /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
   char fileregp[FILENAMELENGTH];       nhstepm is the number of hstepm from age to agelim 
   char popfile[FILENAMELENGTH];       nstepm is the number of stepm from age to agelin. 
   char path[80],pathc[80],pathcd[80],pathtot[80],model[20];       Look at hpijx to understand the reason of that which relies in memory size
   int firstobs=1, lastobs=10;       and note for a fixed period like estepm months */
   int sdeb, sfin; /* Status at beginning and end */    /* We decided (b) to get a life expectancy respecting the most precise curvature of the
   int c,  h , cpt,l;       survival function given by stepm (the optimization length). Unfortunately it
   int ju,jl, mi;       means that if the survival funtion is printed only each two years of age and if
   int i1,j1, k1,k2,k3,jk,aa,bb, stepsize, ij;       you sum them up and add 1 year (area under the trapezoids) you won't get the same 
   int jnais,jdc,jint4,jint1,jint2,jint3,**outcome,**adl,*tab;       results. So we changed our mind and took the option of the best precision.
   int mobilav=0,popforecast=0;    */
   int hstepm, nhstepm;    hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
   double jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,jpyram, mpyram,anpyram,jpyram1, mpyram1,anpyram1, calagedate;  
     /* If stepm=6 months */
   double bage, fage, age, agelim, agebase;    /* nhstepm age range expressed in number of stepm */
   double ftolpl=FTOL;    agelim=AGESUP;
   double **prlim;    nstepm=(int) rint((agelim-age)*YEARM/stepm); 
   double *severity;    /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
   double ***param; /* Matrix of parameters */    /* if (stepm >= YEARM) hstepm=1;*/
   double  *p;    nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
   double **matcov; /* Matrix of covariance */    
   double ***delti3; /* Scale */    p3matp=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
   double *delti; /* Scale */    p3matm=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
   double ***eij, ***vareij;    gradg=ma3x(0,nhstepm,1,npar,1,nlstate*nlstate);
   double **varpl; /* Variances of prevalence limits by age */    trgradg =ma3x(0,nhstepm,1,nlstate*nlstate,1,npar);
   double *epj, vepp;    gp=matrix(0,nhstepm,1,nlstate*nlstate);
   double kk1, kk2;    gm=matrix(0,nhstepm,1,nlstate*nlstate);
   double dateprev1, dateprev2,jproj1,mproj1,anproj1,jproj2,mproj2,anproj2;  
      for (age=bage; age<=fage; age ++){ 
   
   char version[80]="Imach version 0.8a, May 2002, INED-EUROREVES ";      /* Computed by stepm unit matrices, product of hstepm matrices, stored
   char *alph[]={"a","a","b","c","d","e"}, str[4];         in an array of nhstepm length: nhstepm=10, hstepm=4, stepm=6 months */
    
       hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
   char z[1]="c", occ;  
 #include <sys/time.h>      /* Computing  Variances of health expectancies */
 #include <time.h>      /* Gradient is computed with plus gp and minus gm. Code is duplicated in order to
   char stra[80], strb[80], strc[80], strd[80],stre[80],modelsav[80];         decrease memory allocation */
        for(theta=1; theta <=npar; theta++){
   /* long total_usecs;        for(i=1; i<=npar; i++){ 
   struct timeval start_time, end_time;          xp[i] = x[i] + (i==theta ?delti[theta]:0);
            xm[i] = x[i] - (i==theta ?delti[theta]:0);
   gettimeofday(&start_time, (struct timezone*)0); */ /* at first time */        }
   getcwd(pathcd, size);        hpxij(p3matp,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, cij);  
         hpxij(p3matm,nhstepm,age,hstepm,xm,nlstate,stepm,oldm,savm, cij);  
   printf("\n%s",version);    
   if(argc <=1){        for(j=1; j<= nlstate; j++){
     printf("\nEnter the parameter file name: ");          for(i=1; i<=nlstate; i++){
     scanf("%s",pathtot);            for(h=0; h<=nhstepm-1; h++){
   }              gp[h][(j-1)*nlstate + i] = (p3matp[i][j][h]+p3matp[i][j][h+1])/2.;
   else{              gm[h][(j-1)*nlstate + i] = (p3matm[i][j][h]+p3matm[i][j][h+1])/2.;
     strcpy(pathtot,argv[1]);            }
   }          }
   /*if(getcwd(pathcd, 80)!= NULL)printf ("Error pathcd\n");*/        }
   /*cygwin_split_path(pathtot,path,optionfile);       
     printf("pathtot=%s, path=%s, optionfile=%s\n",pathtot,path,optionfile);*/        for(ij=1; ij<= nlstate*nlstate; ij++)
   /* cutv(path,optionfile,pathtot,'\\');*/          for(h=0; h<=nhstepm-1; h++){
             gradg[h][theta][ij]= (gp[h][ij]-gm[h][ij])/2./delti[theta];
   split(pathtot,path,optionfile,optionfilext,optionfilefiname);          }
    printf("pathtot=%s, path=%s, optionfile=%s optionfilext=%s optionfilefiname=%s\n",pathtot,path,optionfile,optionfilext,optionfilefiname);      }/* End theta */
   chdir(path);      
   replace(pathc,path);      
       for(h=0; h<=nhstepm-1; h++)
 /*-------- arguments in the command line --------*/        for(j=1; j<=nlstate*nlstate;j++)
           for(theta=1; theta <=npar; theta++)
   strcpy(fileres,"r");            trgradg[h][j][theta]=gradg[h][theta][j];
   strcat(fileres, optionfilefiname);      
   strcat(fileres,".txt");    /* Other files have txt extension */  
        for(ij=1;ij<=nlstate*nlstate;ij++)
   /*---------arguments file --------*/        for(ji=1;ji<=nlstate*nlstate;ji++)
           varhe[ij][ji][(int)age] =0.;
   if((ficpar=fopen(optionfile,"r"))==NULL)    {  
     printf("Problem with optionfile %s\n",optionfile);       printf("%d|",(int)age);fflush(stdout);
     goto end;       fprintf(ficlog,"%d|",(int)age);fflush(ficlog);
   }       for(h=0;h<=nhstepm-1;h++){
         for(k=0;k<=nhstepm-1;k++){
   strcpy(filereso,"o");          matprod2(dnewm,trgradg[h],1,nlstate*nlstate,1,npar,1,npar,matcov);
   strcat(filereso,fileres);          matprod2(doldm,dnewm,1,nlstate*nlstate,1,npar,1,nlstate*nlstate,gradg[k]);
   if((ficparo=fopen(filereso,"w"))==NULL) {          for(ij=1;ij<=nlstate*nlstate;ij++)
     printf("Problem with Output resultfile: %s\n", filereso);goto end;            for(ji=1;ji<=nlstate*nlstate;ji++)
   }              varhe[ij][ji][(int)age] += doldm[ij][ji]*hf*hf;
         }
   /* Reads comments: lines beginning with '#' */      }
   while((c=getc(ficpar))=='#' && c!= EOF){      /* Computing expectancies */
     ungetc(c,ficpar);      hpxij(p3matm,nhstepm,age,hstepm,x,nlstate,stepm,oldm, savm, cij);  
     fgets(line, MAXLINE, ficpar);      for(i=1; i<=nlstate;i++)
     puts(line);        for(j=1; j<=nlstate;j++)
     fputs(line,ficparo);          for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){
   }            eij[i][j][(int)age] += (p3matm[i][j][h]+p3matm[i][j][h+1])/2.0*hf;
   ungetc(c,ficpar);            
             /* 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]);*/
   fscanf(ficpar,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%lf stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\nmodel=%s\n",title, datafile, &lastobs, &firstpass,&lastpass,&ftol, &stepm, &ncovcol, &nlstate,&ndeath, &maxwav, &mle, &weightopt,model);  
   printf("title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\nmodel=%s\n", title, datafile, lastobs, firstpass,lastpass,ftol, stepm, ncovcol, nlstate,ndeath, maxwav, mle, weightopt,model);          }
   fprintf(ficparo,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\nmodel=%s\n", title, datafile, lastobs, firstpass,lastpass,ftol,stepm,ncovcol,nlstate,ndeath,maxwav, mle, weightopt,model);  
 while((c=getc(ficpar))=='#' && c!= EOF){      fprintf(ficresstdeij,"%3.0f",age );
     ungetc(c,ficpar);      for(i=1; i<=nlstate;i++){
     fgets(line, MAXLINE, ficpar);        eip=0.;
     puts(line);        vip=0.;
     fputs(line,ficparo);        for(j=1; j<=nlstate;j++){
   }          eip += eij[i][j][(int)age];
   ungetc(c,ficpar);          for(k=1; k<=nlstate;k++) /* Sum on j and k of cov(eij,eik) */
              vip += varhe[(j-1)*nlstate+i][(k-1)*nlstate+i][(int)age];
              fprintf(ficresstdeij," %9.4f (%.4f)", eij[i][j][(int)age], sqrt(varhe[(j-1)*nlstate+i][(j-1)*nlstate+i][(int)age]) );
   covar=matrix(0,NCOVMAX,1,n);        }
   cptcovn=0;        fprintf(ficresstdeij," %9.4f (%.4f)", eip, sqrt(vip));
   if (strlen(model)>1) cptcovn=nbocc(model,'+')+1;      }
       fprintf(ficresstdeij,"\n");
   ncovmodel=2+cptcovn;  
   nvar=ncovmodel-1; /* Suppressing age as a basic covariate */      fprintf(ficrescveij,"%3.0f",age );
        for(i=1; i<=nlstate;i++)
   /* Read guess parameters */        for(j=1; j<=nlstate;j++){
   /* Reads comments: lines beginning with '#' */          cptj= (j-1)*nlstate+i;
   while((c=getc(ficpar))=='#' && c!= EOF){          for(i2=1; i2<=nlstate;i2++)
     ungetc(c,ficpar);            for(j2=1; j2<=nlstate;j2++){
     fgets(line, MAXLINE, ficpar);              cptj2= (j2-1)*nlstate+i2;
     puts(line);              if(cptj2 <= cptj)
     fputs(line,ficparo);                fprintf(ficrescveij," %.4f", varhe[cptj][cptj2][(int)age]);
   }            }
   ungetc(c,ficpar);        }
        fprintf(ficrescveij,"\n");
   param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);     
     for(i=1; i <=nlstate; i++)    }
     for(j=1; j <=nlstate+ndeath-1; j++){    free_matrix(gm,0,nhstepm,1,nlstate*nlstate);
       fscanf(ficpar,"%1d%1d",&i1,&j1);    free_matrix(gp,0,nhstepm,1,nlstate*nlstate);
       fprintf(ficparo,"%1d%1d",i1,j1);    free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate*nlstate);
       printf("%1d%1d",i,j);    free_ma3x(trgradg,0,nhstepm,1,nlstate*nlstate,1,npar);
       for(k=1; k<=ncovmodel;k++){    free_ma3x(p3matm,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
         fscanf(ficpar," %lf",&param[i][j][k]);    free_ma3x(p3matp,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
         printf(" %lf",param[i][j][k]);    printf("\n");
         fprintf(ficparo," %lf",param[i][j][k]);    fprintf(ficlog,"\n");
       }  
       fscanf(ficpar,"\n");    free_vector(xm,1,npar);
       printf("\n");    free_vector(xp,1,npar);
       fprintf(ficparo,"\n");    free_matrix(dnewm,1,nlstate*nlstate,1,npar);
     }    free_matrix(doldm,1,nlstate*nlstate,1,nlstate*nlstate);
      free_ma3x(varhe,1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int)fage);
     npar= (nlstate+ndeath-1)*nlstate*ncovmodel;  }
   
   p=param[1][1];  /************ Variance ******************/
    void varevsij(char optionfilefiname[], double ***vareij, double **matcov, double x[], double delti[], int nlstate, int stepm, double bage, double fage, double **oldm, double **savm, double **prlim, double ftolpl, int ij, int estepm, int cptcov, int cptcod, int popbased, int mobilav, char strstart[])
   /* Reads comments: lines beginning with '#' */  {
   while((c=getc(ficpar))=='#' && c!= EOF){    /* Variance of health expectancies */
     ungetc(c,ficpar);    /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);*/
     fgets(line, MAXLINE, ficpar);    /* double **newm;*/
     puts(line);    double **dnewm,**doldm;
     fputs(line,ficparo);    double **dnewmp,**doldmp;
   }    int i, j, nhstepm, hstepm, h, nstepm ;
   ungetc(c,ficpar);    int k, cptcode;
     double *xp;
   delti3= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);    double **gp, **gm;  /* for var eij */
   delti=vector(1,npar); /* Scale of each paramater (output from hesscov) */    double ***gradg, ***trgradg; /*for var eij */
   for(i=1; i <=nlstate; i++){    double **gradgp, **trgradgp; /* for var p point j */
     for(j=1; j <=nlstate+ndeath-1; j++){    double *gpp, *gmp; /* for var p point j */
       fscanf(ficpar,"%1d%1d",&i1,&j1);    double **varppt; /* for var p point j nlstate to nlstate+ndeath */
       printf("%1d%1d",i,j);    double ***p3mat;
       fprintf(ficparo,"%1d%1d",i1,j1);    double age,agelim, hf;
       for(k=1; k<=ncovmodel;k++){    double ***mobaverage;
         fscanf(ficpar,"%le",&delti3[i][j][k]);    int theta;
         printf(" %le",delti3[i][j][k]);    char digit[4];
         fprintf(ficparo," %le",delti3[i][j][k]);    char digitp[25];
       }  
       fscanf(ficpar,"\n");    char fileresprobmorprev[FILENAMELENGTH];
       printf("\n");  
       fprintf(ficparo,"\n");    if(popbased==1){
     }      if(mobilav!=0)
   }        strcpy(digitp,"-populbased-mobilav-");
   delti=delti3[1][1];      else strcpy(digitp,"-populbased-nomobil-");
      }
   /* Reads comments: lines beginning with '#' */    else 
   while((c=getc(ficpar))=='#' && c!= EOF){      strcpy(digitp,"-stablbased-");
     ungetc(c,ficpar);  
     fgets(line, MAXLINE, ficpar);    if (mobilav!=0) {
     puts(line);      mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
     fputs(line,ficparo);      if (movingaverage(probs, bage, fage, mobaverage,mobilav)!=0){
   }        fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
   ungetc(c,ficpar);        printf(" Error in movingaverage mobilav=%d\n",mobilav);
        }
   matcov=matrix(1,npar,1,npar);    }
   for(i=1; i <=npar; i++){  
     fscanf(ficpar,"%s",&str);    strcpy(fileresprobmorprev,"prmorprev"); 
     printf("%s",str);    sprintf(digit,"%-d",ij);
     fprintf(ficparo,"%s",str);    /*printf("DIGIT=%s, ij=%d ijr=%-d|\n",digit, ij,ij);*/
     for(j=1; j <=i; j++){    strcat(fileresprobmorprev,digit); /* Tvar to be done */
       fscanf(ficpar," %le",&matcov[i][j]);    strcat(fileresprobmorprev,digitp); /* Popbased or not, mobilav or not */
       printf(" %.5le",matcov[i][j]);    strcat(fileresprobmorprev,fileres);
       fprintf(ficparo," %.5le",matcov[i][j]);    if((ficresprobmorprev=fopen(fileresprobmorprev,"w"))==NULL) {
     }      printf("Problem with resultfile: %s\n", fileresprobmorprev);
     fscanf(ficpar,"\n");      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobmorprev);
     printf("\n");    }
     fprintf(ficparo,"\n");    printf("Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
   }   
   for(i=1; i <=npar; i++)    fprintf(ficlog,"Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
     for(j=i+1;j<=npar;j++)    pstamp(ficresprobmorprev);
       matcov[i][j]=matcov[j][i];    fprintf(ficresprobmorprev,"# probabilities of dying before estepm=%d months for people of exact age and weighted probabilities w1*p1j+w2*p2j+... stand dev in()\n",estepm);
        fprintf(ficresprobmorprev,"# Age cov=%-d",ij);
   printf("\n");    for(j=nlstate+1; j<=(nlstate+ndeath);j++){
       fprintf(ficresprobmorprev," p.%-d SE",j);
       for(i=1; i<=nlstate;i++)
     /*-------- Rewriting paramater file ----------*/        fprintf(ficresprobmorprev," w%1d p%-d%-d",i,i,j);
      strcpy(rfileres,"r");    /* "Rparameterfile */    }  
      strcat(rfileres,optionfilefiname);    /* Parameter file first name*/    fprintf(ficresprobmorprev,"\n");
      strcat(rfileres,".");    /* */    fprintf(ficgp,"\n# Routine varevsij");
      strcat(rfileres,optionfilext);    /* Other files have txt extension */    /* fprintf(fichtm, "#Local time at start: %s", strstart);*/
     if((ficres =fopen(rfileres,"w"))==NULL) {    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");
       printf("Problem writing new parameter file: %s\n", fileres);goto end;    fprintf(fichtm,"\n<br>%s  <br>\n",digitp);
     }  /*   } */
     fprintf(ficres,"#%s\n",version);    varppt = matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
        pstamp(ficresvij);
     /*-------- data file ----------*/    fprintf(ficresvij,"# Variance and covariance of health expectancies e.j \n#  (weighted average of eij where weights are ");
     if((fic=fopen(datafile,"r"))==NULL)    {    if(popbased==1)
       printf("Problem with datafile: %s\n", datafile);goto end;      fprintf(ficresvij,"the age specific prevalence observed in the population i.e cross-sectionally\n in each health state (popbased=1)");
     }    else
       fprintf(ficresvij,"the age specific period (stable) prevalences in each health state \n");
     n= lastobs;    fprintf(ficresvij,"# Age");
     severity = vector(1,maxwav);    for(i=1; i<=nlstate;i++)
     outcome=imatrix(1,maxwav+1,1,n);      for(j=1; j<=nlstate;j++)
     num=ivector(1,n);        fprintf(ficresvij," Cov(e.%1d, e.%1d)",i,j);
     moisnais=vector(1,n);    fprintf(ficresvij,"\n");
     annais=vector(1,n);  
     moisdc=vector(1,n);    xp=vector(1,npar);
     andc=vector(1,n);    dnewm=matrix(1,nlstate,1,npar);
     agedc=vector(1,n);    doldm=matrix(1,nlstate,1,nlstate);
     cod=ivector(1,n);    dnewmp= matrix(nlstate+1,nlstate+ndeath,1,npar);
     weight=vector(1,n);    doldmp= matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
     for(i=1;i<=n;i++) weight[i]=1.0; /* Equal weights, 1 by default */  
     mint=matrix(1,maxwav,1,n);    gradgp=matrix(1,npar,nlstate+1,nlstate+ndeath);
     anint=matrix(1,maxwav,1,n);    gpp=vector(nlstate+1,nlstate+ndeath);
     s=imatrix(1,maxwav+1,1,n);    gmp=vector(nlstate+1,nlstate+ndeath);
     adl=imatrix(1,maxwav+1,1,n);        trgradgp =matrix(nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
     tab=ivector(1,NCOVMAX);    
     ncodemax=ivector(1,8);    if(estepm < stepm){
       printf ("Problem %d lower than %d\n",estepm, stepm);
     i=1;    }
     while (fgets(line, MAXLINE, fic) != NULL)    {    else  hstepm=estepm;   
       if ((i >= firstobs) && (i <=lastobs)) {    /* For example we decided to compute the life expectancy with the smallest unit */
            /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
         for (j=maxwav;j>=1;j--){       nhstepm is the number of hstepm from age to agelim 
           cutv(stra, strb,line,' '); s[j][i]=atoi(strb);       nstepm is the number of stepm from age to agelin. 
           strcpy(line,stra);       Look at hpijx to understand the reason of that which relies in memory size
           cutv(stra, strb,line,'/'); anint[j][i]=(double)(atoi(strb)); strcpy(line,stra);       and note for a fixed period like k years */
           cutv(stra, strb,line,' '); mint[j][i]=(double)(atoi(strb)); strcpy(line,stra);    /* We decided (b) to get a life expectancy respecting the most precise curvature of the
         }       survival function given by stepm (the optimization length). Unfortunately it
               means that if the survival funtion is printed every two years of age and if
         cutv(stra, strb,line,'/'); andc[i]=(double)(atoi(strb)); strcpy(line,stra);       you sum them up and add 1 year (area under the trapezoids) you won't get the same 
         cutv(stra, strb,line,' '); moisdc[i]=(double)(atoi(strb)); strcpy(line,stra);       results. So we changed our mind and took the option of the best precision.
     */
         cutv(stra, strb,line,'/'); annais[i]=(double)(atoi(strb)); strcpy(line,stra);    hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
         cutv(stra, strb,line,' '); moisnais[i]=(double)(atoi(strb)); strcpy(line,stra);    agelim = AGESUP;
     for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
         cutv(stra, strb,line,' '); weight[i]=(double)(atoi(strb)); strcpy(line,stra);      nstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
         for (j=ncovcol;j>=1;j--){      nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
           cutv(stra, strb,line,' '); covar[j][i]=(double)(atoi(strb)); strcpy(line,stra);      p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
         }      gradg=ma3x(0,nhstepm,1,npar,1,nlstate);
         num[i]=atol(stra);      gp=matrix(0,nhstepm,1,nlstate);
              gm=matrix(0,nhstepm,1,nlstate);
         /*if((s[2][i]==2) && (s[3][i]==-1)&&(s[4][i]==9)){  
           printf("%d %.lf %.lf %.lf %.lf/%.lf %.lf/%.lf %.lf/%.lf %d %.lf/%.lf %d %.lf/%.lf %d %.lf/%.lf %d\n",num[i],(covar[1][i]), (covar[2][i]),weight[i], (moisnais[i]), (annais[i]), (moisdc[i]), (andc[i]), (mint[1][i]), (anint[1][i]), (s[1][i]),  (mint[2][i]), (anint[2][i]), (s[2][i]),  (mint[3][i]), (anint[3][i]), (s[3][i]),  (mint[4][i]), (anint[4][i]), (s[4][i])); ij=ij+1;}*/  
       for(theta=1; theta <=npar; theta++){
         i=i+1;        for(i=1; i<=npar; i++){ /* Computes gradient x + delta*/
       }          xp[i] = x[i] + (i==theta ?delti[theta]:0);
     }        }
     /* printf("ii=%d", ij);        hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);  
        scanf("%d",i);*/        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);
   imx=i-1; /* Number of individuals */  
         if (popbased==1) {
   /* for (i=1; i<=imx; i++){          if(mobilav ==0){
     if ((s[1][i]==3) && (s[2][i]==2)) s[2][i]=3;            for(i=1; i<=nlstate;i++)
     if ((s[2][i]==3) && (s[3][i]==2)) s[3][i]=3;              prlim[i][i]=probs[(int)age][i][ij];
     if ((s[3][i]==3) && (s[4][i]==2)) s[4][i]=3;          }else{ /* mobilav */ 
     }*/            for(i=1; i<=nlstate;i++)
    /*  for (i=1; i<=imx; i++){              prlim[i][i]=mobaverage[(int)age][i][ij];
      if (s[4][i]==9)  s[4][i]=-1;          }
      printf("%d %.lf %.lf %.lf %.lf/%.lf %.lf/%.lf %.lf/%.lf %d %.lf/%.lf %d %.lf/%.lf %d %.lf/%.lf %d\n",num[i],(covar[1][i]), (covar[2][i]), (weight[i]), (moisnais[i]), (annais[i]), (moisdc[i]), (andc[i]), (mint[1][i]), (anint[1][i]), (s[1][i]),  (mint[2][i]), (anint[2][i]), (s[2][i]),  (mint[3][i]), (anint[3][i]), (s[3][i]),  (mint[4][i]), (anint[4][i]), (s[4][i]));}*/        }
      
          for(j=1; j<= nlstate; j++){
   /* Calculation of the number of parameter from char model*/          for(h=0; h<=nhstepm; h++){
   Tvar=ivector(1,15);            for(i=1, gp[h][j]=0.;i<=nlstate;i++)
   Tprod=ivector(1,15);              gp[h][j] += prlim[i][i]*p3mat[i][j][h];
   Tvaraff=ivector(1,15);          }
   Tvard=imatrix(1,15,1,2);        }
   Tage=ivector(1,15);              /* This for computing probability of death (h=1 means
               computed over hstepm matrices product = hstepm*stepm months) 
   if (strlen(model) >1){           as a weighted average of prlim.
     j=0, j1=0, k1=1, k2=1;        */
     j=nbocc(model,'+');        for(j=nlstate+1;j<=nlstate+ndeath;j++){
     j1=nbocc(model,'*');          for(i=1,gpp[j]=0.; i<= nlstate; i++)
     cptcovn=j+1;            gpp[j] += prlim[i][i]*p3mat[i][j][1];
     cptcovprod=j1;        }    
            /* end probability of death */
     strcpy(modelsav,model);  
     if ((strcmp(model,"age")==0) || (strcmp(model,"age*age")==0)){        for(i=1; i<=npar; i++) /* Computes gradient x - delta */
       printf("Error. Non available option model=%s ",model);          xp[i] = x[i] - (i==theta ?delti[theta]:0);
       goto end;        hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);  
     }        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);
       
     for(i=(j+1); i>=1;i--){        if (popbased==1) {
       cutv(stra,strb,modelsav,'+');          if(mobilav ==0){
       if (nbocc(modelsav,'+')==0) strcpy(strb,modelsav);            for(i=1; i<=nlstate;i++)
       /*      printf("i=%d a=%s b=%s sav=%s\n",i, stra,strb,modelsav);*/              prlim[i][i]=probs[(int)age][i][ij];
       /*scanf("%d",i);*/          }else{ /* mobilav */ 
       if (strchr(strb,'*')) {            for(i=1; i<=nlstate;i++)
         cutv(strd,strc,strb,'*');              prlim[i][i]=mobaverage[(int)age][i][ij];
         if (strcmp(strc,"age")==0) {          }
           cptcovprod--;        }
           cutv(strb,stre,strd,'V');  
           Tvar[i]=atoi(stre);        for(j=1; j<= nlstate; j++){
           cptcovage++;          for(h=0; h<=nhstepm; h++){
             Tage[cptcovage]=i;            for(i=1, gm[h][j]=0.;i<=nlstate;i++)
             /*printf("stre=%s ", stre);*/              gm[h][j] += prlim[i][i]*p3mat[i][j][h];
         }          }
         else if (strcmp(strd,"age")==0) {        }
           cptcovprod--;        /* This for computing probability of death (h=1 means
           cutv(strb,stre,strc,'V');           computed over hstepm matrices product = hstepm*stepm months) 
           Tvar[i]=atoi(stre);           as a weighted average of prlim.
           cptcovage++;        */
           Tage[cptcovage]=i;        for(j=nlstate+1;j<=nlstate+ndeath;j++){
         }          for(i=1,gmp[j]=0.; i<= nlstate; i++)
         else {           gmp[j] += prlim[i][i]*p3mat[i][j][1];
           cutv(strb,stre,strc,'V');        }    
           Tvar[i]=ncovcol+k1;        /* end probability of death */
           cutv(strb,strc,strd,'V');  
           Tprod[k1]=i;        for(j=1; j<= nlstate; j++) /* vareij */
           Tvard[k1][1]=atoi(strc);          for(h=0; h<=nhstepm; h++){
           Tvard[k1][2]=atoi(stre);            gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta];
           Tvar[cptcovn+k2]=Tvard[k1][1];          }
           Tvar[cptcovn+k2+1]=Tvard[k1][2];  
           for (k=1; k<=lastobs;k++)        for(j=nlstate+1; j<= nlstate+ndeath; j++){ /* var mu */
             covar[ncovcol+k1][k]=covar[atoi(stre)][k]*covar[atoi(strc)][k];          gradgp[theta][j]= (gpp[j]-gmp[j])/2./delti[theta];
           k1++;        }
           k2=k2+2;  
         }      } /* End theta */
       }  
       else {      trgradg =ma3x(0,nhstepm,1,nlstate,1,npar); /* veij */
         /*printf("d=%s c=%s b=%s\n", strd,strc,strb);*/  
        /*  scanf("%d",i);*/      for(h=0; h<=nhstepm; h++) /* veij */
       cutv(strd,strc,strb,'V');        for(j=1; j<=nlstate;j++)
       Tvar[i]=atoi(strc);          for(theta=1; theta <=npar; theta++)
       }            trgradg[h][j][theta]=gradg[h][theta][j];
       strcpy(modelsav,stra);    
       /*printf("a=%s b=%s sav=%s\n", stra,strb,modelsav);      for(j=nlstate+1; j<=nlstate+ndeath;j++) /* mu */
         scanf("%d",i);*/        for(theta=1; theta <=npar; theta++)
     }          trgradgp[j][theta]=gradgp[theta][j];
 }    
    
   /* printf("tvar1=%d tvar2=%d tvar3=%d cptcovage=%d Tage=%d",Tvar[1],Tvar[2],Tvar[3],cptcovage,Tage[1]);      hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
   printf("cptcovprod=%d ", cptcovprod);      for(i=1;i<=nlstate;i++)
   scanf("%d ",i);*/        for(j=1;j<=nlstate;j++)
     fclose(fic);          vareij[i][j][(int)age] =0.;
   
     /*  if(mle==1){*/      for(h=0;h<=nhstepm;h++){
     if (weightopt != 1) { /* Maximisation without weights*/        for(k=0;k<=nhstepm;k++){
       for(i=1;i<=n;i++) weight[i]=1.0;          matprod2(dnewm,trgradg[h],1,nlstate,1,npar,1,npar,matcov);
     }          matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg[k]);
     /*-calculation of age at interview from date of interview and age at death -*/          for(i=1;i<=nlstate;i++)
     agev=matrix(1,maxwav,1,imx);            for(j=1;j<=nlstate;j++)
               vareij[i][j][(int)age] += doldm[i][j]*hf*hf;
     for (i=1; i<=imx; i++) {        }
       for(m=2; (m<= maxwav); m++) {      }
        if ((mint[m][i]== 99) && (s[m][i] <= nlstate)){    
          anint[m][i]=9999;      /* pptj */
          s[m][i]=-1;      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);
      if(moisdc[i]==99 && andc[i]==9999 & s[m][i]>nlstate) s[m][i]=-1;      for(j=nlstate+1;j<=nlstate+ndeath;j++)
       }        for(i=nlstate+1;i<=nlstate+ndeath;i++)
     }          varppt[j][i]=doldmp[j][i];
       /* end ppptj */
     for (i=1; i<=imx; i++)  {      /*  x centered again */
       agedc[i]=(moisdc[i]/12.+andc[i])-(moisnais[i]/12.+annais[i]);      hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm,savm, ij);  
       for(m=1; (m<= maxwav); m++){      prevalim(prlim,nlstate,x,age,oldm,savm,ftolpl,ij);
         if(s[m][i] >0){   
           if (s[m][i] >= nlstate+1) {      if (popbased==1) {
             if(agedc[i]>0)        if(mobilav ==0){
               if(moisdc[i]!=99 && andc[i]!=9999)          for(i=1; i<=nlstate;i++)
                 agev[m][i]=agedc[i];            prlim[i][i]=probs[(int)age][i][ij];
             /*if(moisdc[i]==99 && andc[i]==9999) s[m][i]=-1;*/        }else{ /* mobilav */ 
            else {          for(i=1; i<=nlstate;i++)
               if (andc[i]!=9999){            prlim[i][i]=mobaverage[(int)age][i][ij];
               printf("Warning negative age at death: %d line:%d\n",num[i],i);        }
               agev[m][i]=-1;      }
               }               
             }      /* This for computing probability of death (h=1 means
           }         computed over hstepm (estepm) matrices product = hstepm*stepm months) 
           else if(s[m][i] !=9){ /* Should no more exist */         as a weighted average of prlim.
             agev[m][i]=(mint[m][i]/12.+1./24.+anint[m][i])-(moisnais[i]/12.+1./24.+annais[i]);      */
             if(mint[m][i]==99 || anint[m][i]==9999)      for(j=nlstate+1;j<=nlstate+ndeath;j++){
               agev[m][i]=1;        for(i=1,gmp[j]=0.;i<= nlstate; i++) 
             else if(agev[m][i] <agemin){          gmp[j] += prlim[i][i]*p3mat[i][j][1]; 
               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);*/      /* end probability of death */
             }  
             else if(agev[m][i] >agemax){      fprintf(ficresprobmorprev,"%3d %d ",(int) age, ij);
               agemax=agev[m][i];      for(j=nlstate+1; j<=(nlstate+ndeath);j++){
              /* printf(" anint[%d][%d]=%.0f annais[%d]=%.0f, agemax=%.0f\n",m,i,anint[m][i], i,annais[i], agemax);*/        fprintf(ficresprobmorprev," %11.3e %11.3e",gmp[j], sqrt(varppt[j][j]));
             }        for(i=1; i<=nlstate;i++){
             /*agev[m][i]=anint[m][i]-annais[i];*/          fprintf(ficresprobmorprev," %11.3e %11.3e ",prlim[i][i],p3mat[i][j][1]);
             /*   agev[m][i] = age[i]+2*m;*/        }
           }      } 
           else { /* =9 */      fprintf(ficresprobmorprev,"\n");
             agev[m][i]=1;  
             s[m][i]=-1;      fprintf(ficresvij,"%.0f ",age );
           }      for(i=1; i<=nlstate;i++)
         }        for(j=1; j<=nlstate;j++){
         else /*= 0 Unknown */          fprintf(ficresvij," %.4f", vareij[i][j][(int)age]);
           agev[m][i]=1;        }
       }      fprintf(ficresvij,"\n");
          free_matrix(gp,0,nhstepm,1,nlstate);
     }      free_matrix(gm,0,nhstepm,1,nlstate);
     for (i=1; i<=imx; i++)  {      free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate);
       for(m=1; (m<= maxwav); m++){      free_ma3x(trgradg,0,nhstepm,1,nlstate,1,npar);
         if (s[m][i] > (nlstate+ndeath)) {      free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
           printf("Error: Wrong value in nlstate or ndeath\n");      } /* End age */
           goto end;    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");
 printf("Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, agemin, agemax);    /* 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)\";");
     free_vector(severity,1,maxwav);  /*   fprintf(ficgp,"\n plot \"%s\"  u 1:($3*%6.3f) not w l 1 ",fileresprobmorprev,YEARM/estepm); */
     free_imatrix(outcome,1,maxwav+1,1,n);  /*   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)*%6.3f) t \"95\%% interval\" w l 2 ",fileresprobmorprev,YEARM/estepm); */
     free_vector(moisnais,1,n);  /*   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)*%6.3f) not w l 2 ",fileresprobmorprev,YEARM/estepm); */
     free_vector(annais,1,n);    fprintf(ficgp,"\n plot \"%s\"  u 1:($3) not w l 1 ",subdirf(fileresprobmorprev));
     /* free_matrix(mint,1,maxwav,1,n);    fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)) t \"95\%% interval\" w l 2 ",subdirf(fileresprobmorprev));
        free_matrix(anint,1,maxwav,1,n);*/    fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)) not w l 2 ",subdirf(fileresprobmorprev));
     free_vector(moisdc,1,n);    fprintf(fichtm,"\n<br> File (multiple files are possible if covariates are present): <A href=\"%s\">%s</a>\n",subdirf(fileresprobmorprev),subdirf(fileresprobmorprev));
     free_vector(andc,1,n);    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);
      */
     wav=ivector(1,imx);  /*   fprintf(ficgp,"\nset out \"varmuptjgr%s%s%s.png\";replot;",digitp,optionfilefiname,digit); */
     dh=imatrix(1,lastpass-firstpass+1,1,imx);    fprintf(ficgp,"\nset out \"%s%s.png\";replot;\n",subdirf3(optionfilefiname,"varmuptjgr",digitp),digit);
     mw=imatrix(1,lastpass-firstpass+1,1,imx);  
        free_vector(xp,1,npar);
     /* Concatenates waves */    free_matrix(doldm,1,nlstate,1,nlstate);
       concatwav(wav, dh, mw, s, agedc, agev,  firstpass, lastpass, imx, nlstate, stepm);    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);
       Tcode=ivector(1,100);    free_matrix(varppt,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
       nbcode=imatrix(0,NCOVMAX,0,NCOVMAX);    if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
       ncodemax[1]=1;    fclose(ficresprobmorprev);
       if (cptcovn > 0) tricode(Tvar,nbcode,imx);    fflush(ficgp);
          fflush(fichtm); 
    codtab=imatrix(1,100,1,10);  }  /* end varevsij */
    h=0;  
    m=pow(2,cptcoveff);  /************ 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[])
    for(k=1;k<=cptcoveff; k++){  {
      for(i=1; i <=(m/pow(2,k));i++){    /* Variance of prevalence limit */
        for(j=1; j <= ncodemax[k]; j++){    /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double **savm,double ftolpl);*/
          for(cpt=1; cpt <=(m/pow(2,cptcoveff+1-k)); cpt++){    double **newm;
            h++;    double **dnewm,**doldm;
            if (h>m) h=1;codtab[h][k]=j;codtab[h][Tvar[k]]=j;    int i, j, nhstepm, hstepm;
            /*  printf("h=%d k=%d j=%d codtab[h][k]=%d tvar[k]=%d \n",h, k,j,codtab[h][k],Tvar[k]);*/    int k, cptcode;
          }    double *xp;
        }    double *gp, *gm;
      }    double **gradg, **trgradg;
    }    double age,agelim;
    /* printf("codtab[1][2]=%d codtab[2][2]=%d",codtab[1][2],codtab[2][2]);    int theta;
       codtab[1][2]=1;codtab[2][2]=2; */    
    /* for(i=1; i <=m ;i++){    pstamp(ficresvpl);
       for(k=1; k <=cptcovn; k++){    fprintf(ficresvpl,"# Standard deviation of period (stable) prevalences \n");
       printf("i=%d k=%d %d %d ",i,k,codtab[i][k], cptcoveff);    fprintf(ficresvpl,"# Age");
       }    for(i=1; i<=nlstate;i++)
       printf("\n");        fprintf(ficresvpl," %1d-%1d",i,i);
       }    fprintf(ficresvpl,"\n");
       scanf("%d",i);*/  
        xp=vector(1,npar);
    /* Calculates basic frequencies. Computes observed prevalence at single age    dnewm=matrix(1,nlstate,1,npar);
        and prints on file fileres'p'. */    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 */ 
     pmmij= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */    agelim = AGESUP;
     oldms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */    for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
     newms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */      nhstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
     savms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */      if (stepm >= YEARM) hstepm=1;
     oldm=oldms; newm=newms; savm=savms; /* Keeps fixed addresses to free */      nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
            gradg=matrix(1,npar,1,nlstate);
     /* For Powell, parameters are in a vector p[] starting at p[1]      gp=vector(1,nlstate);
        so we point p on param[1][1] so that p[1] maps on param[1][1][1] */      gm=vector(1,nlstate);
     p=param[1][1]; /* *(*(*(param +1)+1)+0) */  
       for(theta=1; theta <=npar; theta++){
     if(mle==1){        for(i=1; i<=npar; i++){ /* Computes gradient */
     mlikeli(ficres,p, npar, ncovmodel, nlstate, ftol, func);          xp[i] = x[i] + (i==theta ?delti[theta]:0);
     }        }
            prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);
     /*--------- results files --------------*/        for(i=1;i<=nlstate;i++)
     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);          gp[i] = prlim[i][i];
        
         for(i=1; i<=npar; i++) /* Computes gradient */
    jk=1;          xp[i] = x[i] - (i==theta ?delti[theta]:0);
    fprintf(ficres,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);
    printf("# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");        for(i=1;i<=nlstate;i++)
    for(i=1,jk=1; i <=nlstate; i++){          gm[i] = prlim[i][i];
      for(k=1; k <=(nlstate+ndeath); k++){  
        if (k != i)        for(i=1;i<=nlstate;i++)
          {          gradg[theta][i]= (gp[i]-gm[i])/2./delti[theta];
            printf("%d%d ",i,k);      } /* End theta */
            fprintf(ficres,"%1d%1d ",i,k);  
            for(j=1; j <=ncovmodel; j++){      trgradg =matrix(1,nlstate,1,npar);
              printf("%f ",p[jk]);  
              fprintf(ficres,"%f ",p[jk]);      for(j=1; j<=nlstate;j++)
              jk++;        for(theta=1; theta <=npar; theta++)
            }          trgradg[j][theta]=gradg[theta][j];
            printf("\n");  
            fprintf(ficres,"\n");      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);
  if(mle==1){      for(i=1;i<=nlstate;i++)
     /* Computing hessian and covariance matrix */        varpl[i][(int)age] = doldm[i][i]; /* Covariances are useless */
     ftolhess=ftol; /* Usually correct */  
     hesscov(matcov, p, npar, delti, ftolhess, func);      fprintf(ficresvpl,"%.0f ",age );
  }      for(i=1; i<=nlstate;i++)
     fprintf(ficres,"# Scales (for hessian or gradient estimation)\n");        fprintf(ficresvpl," %.5f (%.5f)",prlim[i][i],sqrt(varpl[i][(int)age]));
     printf("# Scales (for hessian or gradient estimation)\n");      fprintf(ficresvpl,"\n");
      for(i=1,jk=1; i <=nlstate; i++){      free_vector(gp,1,nlstate);
       for(j=1; j <=nlstate+ndeath; j++){      free_vector(gm,1,nlstate);
         if (j!=i) {      free_matrix(gradg,1,npar,1,nlstate);
           fprintf(ficres,"%1d%1d",i,j);      free_matrix(trgradg,1,nlstate,1,npar);
           printf("%1d%1d",i,j);    } /* End age */
           for(k=1; k<=ncovmodel;k++){  
             printf(" %.5e",delti[jk]);    free_vector(xp,1,npar);
             fprintf(ficres," %.5e",delti[jk]);    free_matrix(doldm,1,nlstate,1,npar);
             jk++;    free_matrix(dnewm,1,nlstate,1,nlstate);
           }  
           printf("\n");  }
           fprintf(ficres,"\n");  
         }  /************ 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;
     k=1;    int k2, l2, j1,  z1;
     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");    int k=0,l, cptcode;
     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");    int first=1, first1;
     for(i=1;i<=npar;i++){    double cv12, mu1, mu2, lc1, lc2, v12, v21, v11, v22,v1,v2, c12, tnalp;
       /*  if (k>nlstate) k=1;    double **dnewm,**doldm;
       i1=(i-1)/(ncovmodel*nlstate)+1;    double *xp;
       fprintf(ficres,"%s%d%d",alph[k],i1,tab[i]);    double *gp, *gm;
       printf("%s%d%d",alph[k],i1,tab[i]);*/    double **gradg, **trgradg;
       fprintf(ficres,"%3d",i);    double **mu;
       printf("%3d",i);    double age,agelim, cov[NCOVMAX];
       for(j=1; j<=i;j++){    double std=2.0; /* Number of standard deviation wide of confidence ellipsoids */
         fprintf(ficres," %.5e",matcov[i][j]);    int theta;
         printf(" %.5e",matcov[i][j]);    char fileresprob[FILENAMELENGTH];
       }    char fileresprobcov[FILENAMELENGTH];
       fprintf(ficres,"\n");    char fileresprobcor[FILENAMELENGTH];
       printf("\n");  
       k++;    double ***varpij;
     }  
        strcpy(fileresprob,"prob"); 
     while((c=getc(ficpar))=='#' && c!= EOF){    strcat(fileresprob,fileres);
       ungetc(c,ficpar);    if((ficresprob=fopen(fileresprob,"w"))==NULL) {
       fgets(line, MAXLINE, ficpar);      printf("Problem with resultfile: %s\n", fileresprob);
       puts(line);      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprob);
       fputs(line,ficparo);    }
     }    strcpy(fileresprobcov,"probcov"); 
     ungetc(c,ficpar);    strcat(fileresprobcov,fileres);
     estepm=0;    if((ficresprobcov=fopen(fileresprobcov,"w"))==NULL) {
     fscanf(ficpar,"agemin=%lf agemax=%lf bage=%lf fage=%lf estepm=%d\n",&ageminpar,&agemaxpar, &bage, &fage, &estepm);      printf("Problem with resultfile: %s\n", fileresprobcov);
     if (estepm==0 || estepm < stepm) estepm=stepm;      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcov);
     if (fage <= 2) {    }
       bage = ageminpar;    strcpy(fileresprobcor,"probcor"); 
       fage = agemaxpar;    strcat(fileresprobcor,fileres);
     }    if((ficresprobcor=fopen(fileresprobcor,"w"))==NULL) {
          printf("Problem with resultfile: %s\n", fileresprobcor);
     fprintf(ficres,"# agemin agemax for life expectancy, bage fage (if mle==0 ie no data nor Max likelihood).\n");      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcor);
     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);    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);
     while((c=getc(ficpar))=='#' && c!= EOF){    printf("Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);
     ungetc(c,ficpar);    fprintf(ficlog,"Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);
     fgets(line, MAXLINE, ficpar);    printf("and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);
     puts(line);    fprintf(ficlog,"and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);
     fputs(line,ficparo);    pstamp(ficresprob);
   }    fprintf(ficresprob,"#One-step probabilities and stand. devi in ()\n");
   ungetc(c,ficpar);    fprintf(ficresprob,"# Age");
      pstamp(ficresprobcov);
   fscanf(ficpar,"begin-prev-date=%lf/%lf/%lf end-prev-date=%lf/%lf/%lf\n",&jprev1, &mprev1,&anprev1,&jprev2, &mprev2,&anprev2);    fprintf(ficresprobcov,"#One-step probabilities and covariance matrix\n");
   fprintf(ficparo,"begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);    fprintf(ficresprobcov,"# Age");
  fprintf(ficres,"begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);    pstamp(ficresprobcor);
          fprintf(ficresprobcor,"#One-step probabilities and correlation matrix\n");
   while((c=getc(ficpar))=='#' && c!= EOF){    fprintf(ficresprobcor,"# Age");
     ungetc(c,ficpar);  
     fgets(line, MAXLINE, ficpar);  
     puts(line);    for(i=1; i<=nlstate;i++)
     fputs(line,ficparo);      for(j=1; j<=(nlstate+ndeath);j++){
   }        fprintf(ficresprob," p%1d-%1d (SE)",i,j);
   ungetc(c,ficpar);        fprintf(ficresprobcov," p%1d-%1d ",i,j);
          fprintf(ficresprobcor," p%1d-%1d ",i,j);
       }  
    dateprev1=anprev1+mprev1/12.+jprev1/365.;   /* fprintf(ficresprob,"\n");
    dateprev2=anprev2+mprev2/12.+jprev2/365.;    fprintf(ficresprobcov,"\n");
     fprintf(ficresprobcor,"\n");
   fscanf(ficpar,"pop_based=%d\n",&popbased);   */
   fprintf(ficparo,"pop_based=%d\n",popbased);     xp=vector(1,npar);
   fprintf(ficres,"pop_based=%d\n",popbased);      dnewm=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);
      doldm=matrix(1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath));
   while((c=getc(ficpar))=='#' && c!= EOF){    mu=matrix(1,(nlstate)*(nlstate+ndeath), (int) bage, (int)fage);
     ungetc(c,ficpar);    varpij=ma3x(1,nlstate*(nlstate+ndeath),1,nlstate*(nlstate+ndeath),(int) bage, (int) fage);
     fgets(line, MAXLINE, ficpar);    first=1;
     puts(line);    fprintf(ficgp,"\n# Routine varprob");
     fputs(line,ficparo);    fprintf(fichtm,"\n<li><h4> Computing and drawing one step probabilities with their confidence intervals</h4></li>\n");
   }    fprintf(fichtm,"\n");
   ungetc(c,ficpar);  
     fprintf(fichtm,"\n<li><h4> <a href=\"%s\">Matrix of variance-covariance of pairs of step probabilities (drawings)</a></h4></li>\n",optionfilehtmcov);
   fscanf(ficpar,"starting-proj-date=%lf/%lf/%lf final-proj-date=%lf/%lf/%lf mov_average=%d\n",&jproj1,&mproj1,&anproj1,&jproj2,&mproj2,&anproj2,&mobilav);    fprintf(fichtmcov,"\n<h4>Matrix of variance-covariance of pairs of step probabilities</h4>\n\
 fprintf(ficparo,"starting-proj-date=%.lf/%.lf/%.lf final-proj-date=%.lf/%.lf/%.lf mov_average=%d\n",jproj1,mproj1,anproj1,jproj2,mproj2,anproj2,mobilav);    file %s<br>\n",optionfilehtmcov);
 fprintf(ficres,"starting-proj-date=%.lf/%.lf/%.lf final-proj-date=%.lf/%.lf/%.lf mov_average=%d\n",jproj1,mproj1,anproj1,jproj2,mproj2,anproj2,mobilav);    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");
 while((c=getc(ficpar))=='#' && c!= EOF){    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. \
     ungetc(c,ficpar);  It can be understood this way: if pij and pkl where uncorrelated the (2x2) matrix of covariance \
     fgets(line, MAXLINE, ficpar);  would have been (1/(var pij), 0 , 0, 1/(var pkl)), and the confidence interval would be 2 \
     puts(line);  standard deviations wide on each axis. <br>\
     fputs(line,ficparo);   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>\
   ungetc(c,ficpar);  To be simple, these graphs help to understand the significativity of each parameter in relation to a second other one.<br> \n");
   
   fscanf(ficpar,"popforecast=%d popfile=%s popfiledate=%lf/%lf/%lf last-popfiledate=%lf/%lf/%lf\n",&popforecast,popfile,&jpyram,&mpyram,&anpyram,&jpyram1,&mpyram1,&anpyram1);    cov[1]=1;
   fprintf(ficparo,"popforecast=%d popfile=%s popfiledate=%.lf/%.lf/%.lf last-popfiledate=%.lf/%.lf/%.lf\n",popforecast,popfile,jpyram,mpyram,anpyram,jpyram1,mpyram1,anpyram1);    tj=cptcoveff;
   fprintf(ficres,"popforecast=%d popfile=%s popfiledate=%.lf/%.lf/%.lf last-popfiledate=%.lf/%.lf/%.lf\n",popforecast,popfile,jpyram,mpyram,anpyram,jpyram1,mpyram1,anpyram1);    if (cptcovn<1) {tj=1;ncodemax[1]=1;}
     j1=0;
  freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvar,nbcode, ncodemax,mint,anint,dateprev1,dateprev2,jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);    for(t=1; t<=tj;t++){
       for(i1=1; i1<=ncodemax[t];i1++){ 
 /*------------ gnuplot -------------*/        j1++;
  printinggnuplot(fileres,optionfilefiname,optionfile,optionfilegnuplot, ageminpar,agemaxpar,fage, pathc,p);        if  (cptcovn>0) {
            fprintf(ficresprob, "\n#********** Variable "); 
 /*------------ free_vector  -------------*/          for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprob, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
  chdir(path);          fprintf(ficresprob, "**********\n#\n");
            fprintf(ficresprobcov, "\n#********** Variable "); 
  free_ivector(wav,1,imx);          for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcov, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
  free_imatrix(dh,1,lastpass-firstpass+1,1,imx);          fprintf(ficresprobcov, "**********\n#\n");
  free_imatrix(mw,1,lastpass-firstpass+1,1,imx);            
  free_ivector(num,1,n);          fprintf(ficgp, "\n#********** Variable "); 
  free_vector(agedc,1,n);          for (z1=1; z1<=cptcoveff; z1++) fprintf(ficgp, " V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
  /*free_matrix(covar,1,NCOVMAX,1,n);*/          fprintf(ficgp, "**********\n#\n");
  fclose(ficparo);          
  fclose(ficres);          
           fprintf(fichtmcov, "\n<hr  size=\"2\" color=\"#EC5E5E\">********** Variable "); 
 /*--------- index.htm --------*/          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\">");
   printinghtml(fileres,title,datafile, firstpass, lastpass, stepm, weightopt,model,imx,jmin,jmax,jmean,optionfile,optionfilehtm,rfileres,optionfilegnuplot,version,popforecast,estepm);          
           fprintf(ficresprobcor, "\n#********** Variable ");    
            for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcor, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
   /*--------------- Prevalence limit --------------*/          fprintf(ficresprobcor, "**********\n#");    
          }
   strcpy(filerespl,"pl");        
   strcat(filerespl,fileres);        for (age=bage; age<=fage; age ++){ 
   if((ficrespl=fopen(filerespl,"w"))==NULL) {          cov[2]=age;
     printf("Problem with Prev limit resultfile: %s\n", filerespl);goto end;          for (k=1; k<=cptcovn;k++) {
   }            cov[2+k]=nbcode[Tvar[k]][codtab[j1][Tvar[k]]];
   printf("Computing prevalence limit: result on file '%s' \n", filerespl);          }
   fprintf(ficrespl,"#Prevalence limit\n");          for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2];
   fprintf(ficrespl,"#Age ");          for (k=1; k<=cptcovprod;k++)
   for(i=1; i<=nlstate;i++) fprintf(ficrespl,"%d-%d ",i,i);            cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]]*nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]];
   fprintf(ficrespl,"\n");          
            gradg=matrix(1,npar,1,(nlstate)*(nlstate+ndeath));
   prlim=matrix(1,nlstate,1,nlstate);          trgradg=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);
   pmmij= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */          gp=vector(1,(nlstate)*(nlstate+ndeath));
   oldms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */          gm=vector(1,(nlstate)*(nlstate+ndeath));
   newms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */      
   savms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */          for(theta=1; theta <=npar; theta++){
   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]:(double)0);
   agebase=ageminpar;            
   agelim=agemaxpar;            pmij(pmmij,cov,ncovmodel,xp,nlstate);
   ftolpl=1.e-10;            
   i1=cptcoveff;            k=0;
   if (cptcovn < 1){i1=1;}            for(i=1; i<= (nlstate); i++){
               for(j=1; j<=(nlstate+ndeath);j++){
   for(cptcov=1;cptcov<=i1;cptcov++){                k=k+1;
     for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){                gp[k]=pmmij[i][j];
         k=k+1;              }
         /*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++)            for(i=1; i<=npar; i++)
           fprintf(ficrespl," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);              xp[i] = x[i] - (i==theta ?delti[theta]:(double)0);
         fprintf(ficrespl,"******\n");      
                    pmij(pmmij,cov,ncovmodel,xp,nlstate);
         for (age=agebase; age<=agelim; age++){            k=0;
           prevalim(prlim, nlstate, p, age, oldm, savm,ftolpl,k);            for(i=1; i<=(nlstate); i++){
           fprintf(ficrespl,"%.0f",age );              for(j=1; j<=(nlstate+ndeath);j++){
           for(i=1; i<=nlstate;i++)                k=k+1;
           fprintf(ficrespl," %.5f", prlim[i][i]);                gm[k]=pmmij[i][j];
           fprintf(ficrespl,"\n");              }
         }            }
       }       
     }            for(i=1; i<= (nlstate)*(nlstate+ndeath); i++) 
   fclose(ficrespl);              gradg[theta][i]=(gp[i]-gm[i])/(double)2./delti[theta];  
           }
   /*------------- h Pij x at various ages ------------*/  
            for(j=1; j<=(nlstate)*(nlstate+ndeath);j++)
   strcpy(filerespij,"pij");  strcat(filerespij,fileres);            for(theta=1; theta <=npar; theta++)
   if((ficrespij=fopen(filerespij,"w"))==NULL) {              trgradg[j][theta]=gradg[theta][j];
     printf("Problem with Pij resultfile: %s\n", filerespij);goto end;          
   }          matprod2(dnewm,trgradg,1,(nlstate)*(nlstate+ndeath),1,npar,1,npar,matcov); 
   printf("Computing pij: result on file '%s' \n", filerespij);          matprod2(doldm,dnewm,1,(nlstate)*(nlstate+ndeath),1,npar,1,(nlstate)*(nlstate+ndeath),gradg);
            free_vector(gp,1,(nlstate+ndeath)*(nlstate+ndeath));
   stepsize=(int) (stepm+YEARM-1)/YEARM;          free_vector(gm,1,(nlstate+ndeath)*(nlstate+ndeath));
   /*if (stepm<=24) stepsize=2;*/          free_matrix(trgradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);
           free_matrix(gradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);
   agelim=AGESUP;  
   hstepm=stepsize*YEARM; /* Every year of age */          pmij(pmmij,cov,ncovmodel,x,nlstate);
   hstepm=hstepm/stepm; /* Typically 2 years, = 2/6 months = 4 */          
            k=0;
   k=0;          for(i=1; i<=(nlstate); i++){
   for(cptcov=1;cptcov<=i1;cptcov++){            for(j=1; j<=(nlstate+ndeath);j++){
     for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){              k=k+1;
       k=k+1;              mu[k][(int) age]=pmmij[i][j];
         fprintf(ficrespij,"\n#****** ");            }
         for(j=1;j<=cptcoveff;j++)          }
           fprintf(ficrespij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);          for(i=1;i<=(nlstate)*(nlstate+ndeath);i++)
         fprintf(ficrespij,"******\n");            for(j=1;j<=(nlstate)*(nlstate+ndeath);j++)
                      varpij[i][j][(int)age] = doldm[i][j];
         for (agedeb=fage; agedeb>=bage; agedeb--){ /* If stepm=6 months */  
           nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */          /*printf("\n%d ",(int)age);
           nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */            for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){
           p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);            printf("%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));
           oldm=oldms;savm=savms;            fprintf(ficlog,"%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));
           hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);              }*/
           fprintf(ficrespij,"# Age");  
           for(i=1; i<=nlstate;i++)          fprintf(ficresprob,"\n%d ",(int)age);
             for(j=1; j<=nlstate+ndeath;j++)          fprintf(ficresprobcov,"\n%d ",(int)age);
               fprintf(ficrespij," %1d-%1d",i,j);          fprintf(ficresprobcor,"\n%d ",(int)age);
           fprintf(ficrespij,"\n");  
            for (h=0; h<=nhstepm; h++){          for (i=1; i<=(nlstate)*(nlstate+ndeath);i++)
             fprintf(ficrespij,"%d %.0f %.0f",k,agedeb, agedeb+ h*hstepm/YEARM*stepm );            fprintf(ficresprob,"%11.3e (%11.3e) ",mu[i][(int) age],sqrt(varpij[i][i][(int)age]));
             for(i=1; i<=nlstate;i++)          for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){
               for(j=1; j<=nlstate+ndeath;j++)            fprintf(ficresprobcov,"%11.3e ",mu[i][(int) age]);
                 fprintf(ficrespij," %.5f", p3mat[i][j][h]);            fprintf(ficresprobcor,"%11.3e ",mu[i][(int) age]);
             fprintf(ficrespij,"\n");          }
              }          i=0;
           free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);          for (k=1; k<=(nlstate);k++){
           fprintf(ficrespij,"\n");            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++){
   varprob(fileres, matcov, p, delti, nlstate, (int) bage, (int) fage,k,Tvar,nbcode, ncodemax);                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]));
   fclose(ficrespij);              }
             }
           }/* end of loop for state */
   /*---------- Forecasting ------------------*/        } /* end of loop for age */
   if((stepm == 1) && (strcmp(model,".")==0)){  
     prevforecast(fileres, anproj1,mproj1,jproj1, agemin,agemax, dateprev1, dateprev2,mobilav, agedeb, fage, popforecast, popfile, anproj2,p, i1);        /* Confidence intervalle of pij  */
     if (popforecast==1) populforecast(fileres, anpyram,mpyram,jpyram, agemin,agemax, dateprev1, dateprev2,mobilav, agedeb, fage, popforecast, popfile, anpyram1,p, i1);        /*
   }          fprintf(ficgp,"\nset noparametric;unset label");
   else{          fprintf(ficgp,"\nset log y;unset log x; set xlabel \"Age\";set ylabel \"probability (year-1)\"");
     erreur=108;          fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65");
     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(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);
   /*---------- Health expectancies and variances ------------*/        */
   
   strcpy(filerest,"t");        /* Drawing ellipsoids of confidence of two variables p(k1-l1,k2-l2)*/
   strcat(filerest,fileres);        first1=1;
   if((ficrest=fopen(filerest,"w"))==NULL) {        for (k2=1; k2<=(nlstate);k2++){
     printf("Problem with total LE resultfile: %s\n", filerest);goto end;          for (l2=1; l2<=(nlstate+ndeath);l2++){ 
   }            if(l2==k2) continue;
   printf("Computing Total LEs with variances: file '%s' \n", filerest);            j=(k2-1)*(nlstate+ndeath)+l2;
             for (k1=1; k1<=(nlstate);k1++){
               for (l1=1; l1<=(nlstate+ndeath);l1++){ 
   strcpy(filerese,"e");                if(l1==k1) continue;
   strcat(filerese,fileres);                i=(k1-1)*(nlstate+ndeath)+l1;
   if((ficreseij=fopen(filerese,"w"))==NULL) {                if(i<=j) continue;
     printf("Problem with Health Exp. resultfile: %s\n", filerese); exit(0);                for (age=bage; age<=fage; age ++){ 
   }                  if ((int)age %5==0){
   printf("Computing Health Expectancies: result on file '%s' \n", filerese);                    v1=varpij[i][i][(int)age]/stepm*YEARM/stepm*YEARM;
                     v2=varpij[j][j][(int)age]/stepm*YEARM/stepm*YEARM;
  strcpy(fileresv,"v");                    cv12=varpij[i][j][(int)age]/stepm*YEARM/stepm*YEARM;
   strcat(fileresv,fileres);                    mu1=mu[i][(int) age]/stepm*YEARM ;
   if((ficresvij=fopen(fileresv,"w"))==NULL) {                    mu2=mu[j][(int) age]/stepm*YEARM;
     printf("Problem with variance resultfile: %s\n", fileresv);exit(0);                    c12=cv12/sqrt(v1*v2);
   }                    /* Computing eigen value of matrix of covariance */
   printf("Computing Variance-covariance of DFLEs: file '%s' \n", fileresv);                    lc1=((v1+v2)+sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
   calagedate=-1;                    lc2=((v1+v2)-sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
 prevalence(ageminpar, agemax, s, agev, nlstate, imx,Tvar,nbcode, ncodemax,mint,anint,dateprev1,dateprev2, calagedate);                    /* Eigen vectors */
                     v11=(1./sqrt(1+(v1-lc1)*(v1-lc1)/cv12/cv12));
   k=0;                    /*v21=sqrt(1.-v11*v11); *//* error */
   for(cptcov=1;cptcov<=i1;cptcov++){                    v21=(lc1-v1)/cv12*v11;
     for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){                    v12=-v21;
       k=k+1;                    v22=v11;
       fprintf(ficrest,"\n#****** ");                    tnalp=v21/v11;
       for(j=1;j<=cptcoveff;j++)                    if(first1==1){
         fprintf(ficrest,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);                      first1=0;
       fprintf(ficrest,"******\n");                      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(ficreseij,"\n#****** ");                    fprintf(ficlog,"%d %d%d-%d%d mu %.4e %.4e Var %.4e %.4e cor %.3f cov %.4e Eig %.3e %.3e 1stv %.3f %.3f tan %.3f\n",(int) age,k1,l1,k2,l2,mu1,mu2,v1,v2,c12,cv12,lc1,lc2,v11,v21,tnalp);
       for(j=1;j<=cptcoveff;j++)                    /*printf(fignu*/
         fprintf(ficreseij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);                    /* mu1+ v11*lc1*cost + v12*lc2*sin(t) */
       fprintf(ficreseij,"******\n");                    /* mu2+ v21*lc1*cost + v22*lc2*sin(t) */
                     if(first==1){
       fprintf(ficresvij,"\n#****** ");                      first=0;
       for(j=1;j<=cptcoveff;j++)                      fprintf(ficgp,"\nset parametric;unset label");
         fprintf(ficresvij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);                      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(ficresvij,"******\n");                      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>\
       eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);   :<a href=\"%s%d%1d%1d-%1d%1d.png\">\
       oldm=oldms;savm=savms;  %s%d%1d%1d-%1d%1d.png</A>, ",k1,l1,k2,l2,\
       evsij(fileres, eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k, estepm, delti, matcov);                                subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2,\
                                subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2);
       vareij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);                      fprintf(fichtmcov,"\n<br><img src=\"%s%d%1d%1d-%1d%1d.png\"> ",subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2);
       oldm=oldms;savm=savms;                      fprintf(fichtmcov,"\n<br> Correlation at age %d (%.3f),",(int) age, c12);
        varevsij(fileres, vareij, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k, estepm);                      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",\
       fprintf(ficrest,"#Total LEs with variances: e.. (std) ");                              mu1,std,v11,sqrt(lc1),v12,sqrt(lc2),\
       for (i=1;i<=nlstate;i++) fprintf(ficrest,"e.%d (std) ",i);                              mu2,std,v21,sqrt(lc1),v22,sqrt(lc2));
       fprintf(ficrest,"\n");                    }else{
                       first=0;
       epj=vector(1,nlstate+1);                      fprintf(fichtmcov," %d (%.3f),",(int) age, c12);
       for(age=bage; age <=fage ;age++){                      fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);
         prevalim(prlim, nlstate, p, age, oldm, savm,ftolpl,k);                      fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);
         if (popbased==1) {                      fprintf(ficgp,"\nreplot %11.3e+ %.3f*(%11.3e*%11.3e*cos(t)+%11.3e*%11.3e*sin(t)), %11.3e +%.3f*(%11.3e*%11.3e*cos(t)+%11.3e*%11.3e*sin(t)) not",\
           for(i=1; i<=nlstate;i++)                              mu1,std,v11,sqrt(lc1),v12,sqrt(lc2),\
             prlim[i][i]=probs[(int)age][i][k];                              mu2,std,v21,sqrt(lc1),v22,sqrt(lc2));
         }                    }/* if first */
                          } /* age mod 5 */
         fprintf(ficrest," %4.0f",age);                } /* end loop age */
         for(j=1, epj[nlstate+1]=0.;j <=nlstate;j++){                fprintf(ficgp,"\nset out \"%s%d%1d%1d-%1d%1d.png\";replot;",subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2);
           for(i=1, epj[j]=0.;i <=nlstate;i++) {                first=1;
             epj[j] += prlim[i][i]*eij[i][j][(int)age];              } /*l12 */
             /*  printf("%lf %lf ", prlim[i][i] ,eij[i][j][(int)age]);*/            } /* k12 */
           }          } /*l1 */
           epj[nlstate+1] +=epj[j];        }/* k1 */
         }      } /* loop covariates */
     }
         for(i=1, vepp=0.;i <=nlstate;i++)    free_ma3x(varpij,1,nlstate,1,nlstate+ndeath,(int) bage, (int)fage);
           for(j=1;j <=nlstate;j++)    free_matrix(mu,1,(nlstate+ndeath)*(nlstate+ndeath),(int) bage, (int)fage);
             vepp += vareij[i][j][(int)age];    free_matrix(doldm,1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath));
         fprintf(ficrest," %7.3f (%7.3f)", epj[nlstate+1],sqrt(vepp));    free_matrix(dnewm,1,(nlstate)*(nlstate+ndeath),1,npar);
         for(j=1;j <=nlstate;j++){    free_vector(xp,1,npar);
           fprintf(ficrest," %7.3f (%7.3f)", epj[j],sqrt(vareij[j][j][(int)age]));    fclose(ficresprob);
         }    fclose(ficresprobcov);
         fprintf(ficrest,"\n");    fclose(ficresprobcor);
       }    fflush(ficgp);
     }    fflush(fichtmcov);
   }  }
 free_matrix(mint,1,maxwav,1,n);  
     free_matrix(anint,1,maxwav,1,n); free_imatrix(s,1,maxwav+1,1,n);  
     free_vector(weight,1,n);  /******************* Printing html file ***********/
   fclose(ficreseij);  void printinghtml(char fileres[], char title[], char datafile[], int firstpass, \
   fclose(ficresvij);                    int lastpass, int stepm, int weightopt, char model[],\
   fclose(ficrest);                    int imx,int jmin, int jmax, double jmeanint,char rfileres[],\
   fclose(ficpar);                    int popforecast, int estepm ,\
   free_vector(epj,1,nlstate+1);                    double jprev1, double mprev1,double anprev1, \
                      double jprev2, double mprev2,double anprev2){
   /*------- Variance limit prevalence------*/      int jj1, k1, i1, cpt;
   
   strcpy(fileresvpl,"vpl");     fprintf(fichtm,"<ul><li><a href='#firstorder'>Result files (first order: no variance)</a>\n \
   strcat(fileresvpl,fileres);     <li><a href='#secondorder'>Result files (second order (variance)</a>\n \
   if((ficresvpl=fopen(fileresvpl,"w"))==NULL) {  </ul>");
     printf("Problem with variance prev lim resultfile: %s\n", fileresvpl);     fprintf(fichtm,"<ul><li><h4><a name='firstorder'>Result files (first order: no variance)</a></h4>\n \
     exit(0);   - 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"));
   printf("Computing Variance-covariance of Prevalence limit: file '%s' \n", fileresvpl);     fprintf(fichtm,"\
    - Estimated transition probabilities over %d (stepm) months: <a href=\"%s\">%s</a><br>\n ",
   k=0;             stepm,subdirf2(fileres,"pij"),subdirf2(fileres,"pij"));
   for(cptcov=1;cptcov<=i1;cptcov++){     fprintf(fichtm,"\
     for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){   - Period (stable) prevalence in each health state: <a href=\"%s\">%s</a> <br>\n",
       k=k+1;             subdirf2(fileres,"pl"),subdirf2(fileres,"pl"));
       fprintf(ficresvpl,"\n#****** ");     fprintf(fichtm,"\
       for(j=1;j<=cptcoveff;j++)   - (a) Life expectancies by health status at initial age, (b) health expectancies by health status at initial age:  ei., eij . If one or more covariate are included, specific tables for each value of the covariate are output in sequences within the same file (estepm=%2d months): \
         fprintf(ficresvpl,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);     <a href=\"%s\">%s</a> <br>\n</li>",
       fprintf(ficresvpl,"******\n");             estepm,subdirf2(fileres,"e"),subdirf2(fileres,"e"));
        
       varpl=matrix(1,nlstate,(int) bage, (int) fage);  
       oldm=oldms;savm=savms;  fprintf(fichtm," \n<ul><li><b>Graphs</b></li><p>");
      varprevlim(fileres, varpl, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k);  
     }   m=cptcoveff;
  }   if (cptcovn < 1) {m=1;ncodemax[1]=1;}
   
   fclose(ficresvpl);   jj1=0;
    for(k1=1; k1<=m;k1++){
   /*---------- End : free ----------------*/     for(i1=1; i1<=ncodemax[k1];i1++){
   free_matrix(varpl,1,nlstate,(int) bage, (int)fage);       jj1++;
         if (cptcovn > 0) {
   free_ma3x(vareij,1,nlstate,1,nlstate,(int) bage, (int)fage);         fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");
   free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);         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\">");
   free_matrix(pmmij,1,nlstate+ndeath,1,nlstate+ndeath);       }
   free_matrix(oldms, 1,nlstate+ndeath,1,nlstate+ndeath);       /* Pij */
   free_matrix(newms, 1,nlstate+ndeath,1,nlstate+ndeath);       fprintf(fichtm,"<br>- Pij or Conditional probabilities to be observed in state j being in state i, %d (stepm) months before: <a href=\"%s%d1.png\">%s%d1.png</a><br> \
   free_matrix(savms, 1,nlstate+ndeath,1,nlstate+ndeath);  <img src=\"%s%d1.png\">",stepm,subdirf2(optionfilefiname,"pe"),jj1,subdirf2(optionfilefiname,"pe"),jj1,subdirf2(optionfilefiname,"pe"),jj1);     
         /* Quasi-incidences */
   free_matrix(matcov,1,npar,1,npar);       fprintf(fichtm,"<br>- Pij or Conditional probabilities to be observed in state j being in state i %d (stepm) months\
   free_vector(delti,1,npar);   before but expressed in per year i.e. quasi incidences if stepm is small and probabilities too: <a href=\"%s%d2.png\">%s%d2.png</a><br> \
   free_matrix(agev,1,maxwav,1,imx);  <img src=\"%s%d2.png\">",stepm,subdirf2(optionfilefiname,"pe"),jj1,subdirf2(optionfilefiname,"pe"),jj1,subdirf2(optionfilefiname,"pe"),jj1); 
   free_ma3x(param,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel);         /* Period (stable) prevalence in each health state */
          for(cpt=1; cpt<nlstate;cpt++){
   if(erreur >0)           fprintf(fichtm,"<br>- Period (stable) prevalence in each health state : <a href=\"%s%d%d.png\">%s%d%d.png</a><br> \
     printf("End of Imach with error or warning %d\n",erreur);  <img src=\"%s%d%d.png\">",subdirf2(optionfilefiname,"p"),cpt,jj1,subdirf2(optionfilefiname,"p"),cpt,jj1,subdirf2(optionfilefiname,"p"),cpt,jj1);
   else   printf("End of Imach\n");         }
   /*  gettimeofday(&end_time, (struct timezone*)0);*/  /* after time */       for(cpt=1; cpt<=nlstate;cpt++) {
            fprintf(fichtm,"\n<br>- Life expectancy by health state (%d) at initial age and its decomposition into health expectancies : <a href=\"%s%d%d.png\">%s%d%d.png</a> <br> \
   /* 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);*/  <img src=\"%s%d%d.png\">",cpt,subdirf2(optionfilefiname,"exp"),cpt,jj1,subdirf2(optionfilefiname,"exp"),cpt,jj1,subdirf2(optionfilefiname,"exp"),cpt,jj1);
   /*printf("Total time was %d uSec.\n", total_usecs);*/       }
   /*------ End -----------*/     } /* end i1 */
    }/* End k1 */
    fprintf(fichtm,"</ul>");
  end:  
   /* chdir(pathcd);*/  
  /*system("wgnuplot graph.plt");*/   fprintf(fichtm,"\
  /*system("../gp37mgw/wgnuplot graph.plt");*/  \n<br><li><h4> <a name='secondorder'>Result files (second order: variances)</a></h4>\n\
  /*system("cd ../gp37mgw");*/   - Parameter file with estimated parameters and covariance matrix: <a href=\"%s\">%s</a> <br>\n", rfileres,rfileres);
  /* system("..\\gp37mgw\\wgnuplot graph.plt");*/  
  strcpy(plotcmd,GNUPLOTPROGRAM);   fprintf(fichtm," - Variance of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
  strcat(plotcmd," ");           subdirf2(fileres,"prob"),subdirf2(fileres,"prob"));
  strcat(plotcmd,optionfilegnuplot);   fprintf(fichtm,"\
  system(plotcmd);   - Variance-covariance of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
            subdirf2(fileres,"probcov"),subdirf2(fileres,"probcov"));
  /*#ifdef windows*/  
   while (z[0] != 'q') {   fprintf(fichtm,"\
     /* chdir(path); */   - Correlation matrix of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
     printf("\nType e to edit output files, g to graph again, c to start again, and q for exiting: ");           subdirf2(fileres,"probcor"),subdirf2(fileres,"probcor"));
     scanf("%s",z);   fprintf(fichtm,"\
     if (z[0] == 'c') system("./imach");   - Variances and covariances of health expectancies by age and <b>initial health status</b> (cov(e<sup>ij</sup>,e<sup>kl</sup>)(estepm=%2d months): \
     else if (z[0] == 'e') system(optionfilehtm);     <a href=\"%s\">%s</a> <br>\n</li>",
     else if (z[0] == 'g') system(plotcmd);             estepm,subdirf2(fileres,"cve"),subdirf2(fileres,"cve"));
     else if (z[0] == 'q') exit(0);   fprintf(fichtm,"\
   }   - (a) Health expectancies by health status at initial age (e<sup>ij</sup>) and standard errors (in parentheses) (b) life expectancies and standard errors (e<sup>i.</sup>=e<sup>i1</sup>+e<sup>i2</sup>+...)(estepm=%2d months): \
   /*#endif */     <a href=\"%s\">%s</a> <br>\n</li>",
 }             estepm,subdirf2(fileres,"stde"),subdirf2(fileres,"stde"));
    fprintf(fichtm,"\
    - Variances and covariances of health expectancies by age. Status (i) based health expectancies (in state j), eij are weighted by the period prevalences in each state i (if popbased=1, an additional computation is done using the cross-sectional prevalences (i.e population based) (estepm=%d months): <a href=\"%s\">%s</a><br>\n",
            estepm, subdirf2(fileres,"v"),subdirf2(fileres,"v"));
    fprintf(fichtm,"\
    - Total life expectancy and total health expectancies to be spent in each health state e<sup>.j</sup> with their standard errors: <a href=\"%s\">%s</a> <br>\n",
            subdirf2(fileres,"t"),subdirf2(fileres,"t"));
    fprintf(fichtm,"\
    - Standard deviation of period (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\"Period (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); */
         k=2+(nlstate+1)*(cpt-1);
         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+i,cpt,i+1);
           /*      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);*/
           
         } 
         fprintf(ficgp," ,\"%s\" every :::%d::%d u 1:%d t \"e%d.\" w l",subdirf2(fileres,"e"),k1-1,k1-1,k+nlstate,cpt);
       }
     }
     
     /* 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]; 
     char **bp, *tok, *val; /* pathtot */
     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  *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: ");
       fgets(pathr,FILENAMELENGTH,stdin);
       i=strlen(pathr);
       if(pathr[i-1]=='\n')
         pathr[i-1]='\0';
      for (tok = pathr; tok != NULL; ){
         printf("Pathr |%s|\n",pathr);
         while ((val = strsep(&tok, "\"" )) != NULL && *val == '\0');
         printf("val= |%s| pathr=%s\n",val,pathr);
         strcpy (pathtot, val);
         if(pathr[0] == '\0') break; /* Dirty */
       }
     }
     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); /* Can be a relative path */
     if(getcwd(pathcd,MAXLINE) > 0) /* So pathcd is the full path */
       printf("Current directory %s!\n",pathcd);
     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);
       goto end;
       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 \
   It might be a problem of design; if ncovcol and the model are correct\n \
   run imach with mle=-1 to get a correct template of the parameter file.\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 while opening datafile: %s\n", datafile);goto end;
       fprintf(ficlog,"Problem while opening 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;
       dval=strtod(strb,&endptr); 
       if( strb[0]=='\0' || (*endptr != '\0')){
         printf("Error reading data around '%f' at line number %ld, \"%s\" for individual %d\nShould be a weight.  Exiting.\n",dval, i,line,linei);
         exit(1);
       }
       weight[i]=dval; 
       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 for individual %d, '%s'\n \
    Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
    for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
    For example, for multinomial values like 1, 2 and 3,\n \
    build V1=0 V2=0 for the reference value (1),\n \
           V1=1 V2=0 for (2) \n \
    and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
    output of IMaCh is often meaningless.\n \
    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 */
     fclose(fic);
     /* 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);*/
   
       /*  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,"<html><head>\n<title>IMaCh Cov %s</title></head>\n <body><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",\
             optionfilehtmcov,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);
     }
   
     fprintf(fichtm,"<html><head>\n<title>IMaCh %s</title></head>\n <body><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\
    - Parameter file: <a href=\"%s.%s\">%s.%s</a><br>\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",\
             optionfilehtm,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model,\
             optionfilefiname,optionfilext,optionfilefiname,optionfilext,\
             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,pathcd); /* 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,pathcd); /* 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  (period or stable prevalence) --------------*/
     
       strcpy(filerespl,"pl");
       strcat(filerespl,fileres);
       if((ficrespl=fopen(filerespl,"w"))==NULL) {
         printf("Problem with period (stable) prevalence resultfile: %s\n", filerespl);goto end;
         fprintf(ficlog,"Problem with period (stable) prevalence resultfile: %s\n", filerespl);goto end;
       }
       printf("Computing period (stable) prevalence: result on file '%s' \n", filerespl);
       fprintf(ficlog,"Computing period (stable) prevalence: result on file '%s' \n", filerespl);
       pstamp(ficrespl);
       fprintf(ficrespl,"# Period (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*/
       pstamp(ficrespij);
       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 Life expectancies with their standard errors: file '%s' \n", filerest); 
       fprintf(ficlog,"Computing Total Life expectancies with their standard errors: 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(fileresstde,"stde");
       strcat(fileresstde,fileres);
       if((ficresstdeij=fopen(fileresstde,"w"))==NULL) {
         printf("Problem with Health Exp. and std errors resultfile: %s\n", fileresstde); exit(0);
         fprintf(ficlog,"Problem with Health Exp. and std errors resultfile: %s\n", fileresstde); exit(0);
       }
       printf("Computing Health Expectancies and standard errors: result on file '%s' \n", fileresstde);
       fprintf(ficlog,"Computing Health Expectancies and standard errors: result on file '%s' \n", fileresstde);
   
       strcpy(filerescve,"cve");
       strcat(filerescve,fileres);
       if((ficrescveij=fopen(filerescve,"w"))==NULL) {
         printf("Problem with Covar. Health Exp. resultfile: %s\n", filerescve); exit(0);
         fprintf(ficlog,"Problem with Covar. Health Exp. resultfile: %s\n", filerescve); exit(0);
       }
       printf("Computing Covar. of Health Expectancies: result on file '%s' \n", filerescve);
       fprintf(ficlog,"Computing Covar. of Health Expectancies: result on file '%s' \n", filerescve);
   
       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#****** ");
           fprintf(ficresstdeij,"\n#****** ");
           fprintf(ficrescveij,"\n#****** ");
           for(j=1;j<=cptcoveff;j++) {
             fprintf(ficreseij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
             fprintf(ficresstdeij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
             fprintf(ficrescveij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
           }
           fprintf(ficreseij,"******\n");
           fprintf(ficresstdeij,"******\n");
           fprintf(ficrescveij,"******\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, strstart);  
           cvevsij(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);
           }
   
           pstamp(ficrest);
           fprintf(ficrest,"# Total life expectancy with std error and decomposition into time to be expected in each health state\n# Age ( 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(ficresstdeij);
       fclose(ficrescveij);
       fclose(ficresvij);
       fclose(ficrest);
       fclose(ficpar);
     
       /*------- Variance of period (stable) prevalence------*/   
   
       strcpy(fileresvpl,"vpl");
       strcat(fileresvpl,fileres);
       if((ficresvpl=fopen(fileresvpl,"w"))==NULL) {
         printf("Problem with variance of period (stable) prevalence  resultfile: %s\n", fileresvpl);
         exit(0);
       }
       printf("Computing Variance-covariance of period (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(prlim,1,nlstate,1,nlstate);
       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);
   
       free_imatrix(nbcode,0,NCOVMAX,0,NCOVMAX);
       free_imatrix(codtab,1,100,1,10);
     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>\n</body></html>",strstart, strtend);
     fclose(fichtm);
     fprintf(fichtmcov,"<br>Local time at start %s<br>Local time at end   %s<br>\n</body></html>",strstart, strtend);
     fclose(fichtmcov);
     fclose(ficgp);
     fclose(ficlog);
     /*------ End -----------*/
   
   
      printf("Before Current directory %s!\n",pathcd);
      if(chdir(pathcd) != 0)
       printf("Can't move to directory %s!\n",path);
     if(getcwd(pathcd,MAXLINE) > 0)
       printf("Current directory %s!\n",pathcd);
     /*strcat(plotcmd,CHARSEPARATOR);*/
     sprintf(plotcmd,"gnuplot");
   #ifndef UNIX
     sprintf(plotcmd,"\"%sgnuplot.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.1.41.2.1  
changed lines
  Added in v.1.123


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