Diff for /imach/src/imach.c between versions 1.18 and 1.136

version 1.18, 2002/02/20 17:17:09 version 1.136, 2010/04/26 20:30:53
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      /* $Id$
 /*********************** Imach **************************************            $State$
   This program computes Healthy Life Expectancies from cross-longitudinal    $Log$
   data. Cross-longitudinal consist in a first survey ("cross") where    Revision 1.136  2010/04/26 20:30:53  brouard
   individuals from different ages are interviewed on their health status    (Module): merging some libgsl code. Fixing computation
   or degree of  disability. At least a second wave of interviews    of likelione (using inter/intrapolation if mle = 0) in order to
   ("longitudinal") should  measure each new individual health status.    get same likelihood as if mle=1.
   Health expectancies are computed from the transistions observed between    Some cleaning of code and comments added.
   waves and are computed for each degree of severity of disability (number  
   of life states). More degrees you consider, more time is necessary to    Revision 1.135  2009/10/29 15:33:14  brouard
   reach the Maximum Likelihood of the parameters involved in the model.    (Module): Now imach stops if date of birth, at least year of birth, is not given. Some cleaning of the code.
   The simplest model is the multinomial logistic model where pij is  
   the probabibility to be observed in state j at the second wave conditional    Revision 1.134  2009/10/29 13:18:53  brouard
   to be observed in state i at the first wave. Therefore the model is:    (Module): Now imach stops if date of birth, at least year of birth, is not given. Some cleaning of the code.
   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    Revision 1.133  2009/07/06 10:21:25  brouard
   age", you should modify the program where the markup    just nforces
     *Covariates have to be included here again* invites you to do it.  
   More covariates you add, less is the speed of the convergence.    Revision 1.132  2009/07/06 08:22:05  brouard
     Many tings
   The advantage that this computer programme claims, comes from that if the  
   delay between waves is not identical for each individual, or if some    Revision 1.131  2009/06/20 16:22:47  brouard
   individual missed an interview, the information is not rounded or lost, but    Some dimensions resccaled
   taken into account using an interpolation or extrapolation.  
   hPijx is the probability to be    Revision 1.130  2009/05/26 06:44:34  brouard
   observed in state i at age x+h conditional to the observed state i at age    (Module): Max Covariate is now set to 20 instead of 8. A
   x. The delay 'h' can be split into an exact number (nh*stepm) of    lot of cleaning with variables initialized to 0. Trying to make
   unobserved intermediate  states. This elementary transition (by month or    V2+V3*age+V1+V4 strb=V3*age+V1+V4 working better.
   quarter trimester, semester or year) is model as a multinomial logistic.  
   The hPx matrix is simply the matrix product of nh*stepm elementary matrices    Revision 1.129  2007/08/31 13:49:27  lievre
   and the contribution of each individual to the likelihood is simply hPijx.    Modification of the way of exiting when the covariate is not binary in order to see on the window the error message before exiting
   
   Also this programme outputs the covariance matrix of the parameters but also    Revision 1.128  2006/06/30 13:02:05  brouard
   of the life expectancies. It also computes the prevalence limits.    (Module): Clarifications on computing e.j
    
   Authors: Nicolas Brouard (brouard@ined.fr) and Agnès Lièvre (lievre@ined.fr).    Revision 1.127  2006/04/28 18:11:50  brouard
            Institut national d'études démographiques, Paris.    (Module): Yes the sum of survivors was wrong since
   This software have been partly granted by Euro-REVES, a concerted action    imach-114 because nhstepm was no more computed in the age
   from the European Union.    loop. Now we define nhstepma in the age loop.
   It is copyrighted identically to a GNU software product, ie programme and    (Module): In order to speed up (in case of numerous covariates) we
   software can be distributed freely for non commercial use. Latest version    compute health expectancies (without variances) in a first step
   can be accessed at http://euroreves.ined.fr/imach .    and then all the health expectancies with variances or standard
   **********************************************************************/    deviation (needs data from the Hessian matrices) which slows the
      computation.
 #include <math.h>    In the future we should be able to stop the program is only health
 #include <stdio.h>    expectancies and graph are needed without standard deviations.
 #include <stdlib.h>  
 #include <unistd.h>    Revision 1.126  2006/04/28 17:23:28  brouard
     (Module): Yes the sum of survivors was wrong since
 #define MAXLINE 256    imach-114 because nhstepm was no more computed in the age
 #define FILENAMELENGTH 80    loop. Now we define nhstepma in the age loop.
 /*#define DEBUG*/    Version 0.98h
 #define windows  
 #define GLOCK_ERROR_NOPATH              -1      /* empty path */    Revision 1.125  2006/04/04 15:20:31  lievre
 #define GLOCK_ERROR_GETCWD              -2      /* cannot get cwd */    Errors in calculation of health expectancies. Age was not initialized.
     Forecasting file added.
 #define MAXPARM 30 /* Maximum number of parameters for the optimization */  
 #define NPARMAX 64 /* (nlstate+ndeath-1)*nlstate*ncovmodel */    Revision 1.124  2006/03/22 17:13:53  lievre
     Parameters are printed with %lf instead of %f (more numbers after the comma).
 #define NINTERVMAX 8    The log-likelihood is printed in the log file
 #define NLSTATEMAX 8 /* Maximum number of live states (for func) */  
 #define NDEATHMAX 8 /* Maximum number of dead states (for func) */    Revision 1.123  2006/03/20 10:52:43  brouard
 #define NCOVMAX 8 /* Maximum number of covariates */    * imach.c (Module): <title> changed, corresponds to .htm file
 #define MAXN 20000    name. <head> headers where missing.
 #define YEARM 12. /* Number of months per year */  
 #define AGESUP 130    * imach.c (Module): Weights can have a decimal point as for
 #define AGEBASE 40    English (a comma might work with a correct LC_NUMERIC environment,
     otherwise the weight is truncated).
     Modification of warning when the covariates values are not 0 or
 int nvar;    1.
 int cptcovn, cptcovage=0, cptcoveff=0,cptcov;    Version 0.98g
 int npar=NPARMAX;  
 int nlstate=2; /* Number of live states */    Revision 1.122  2006/03/20 09:45:41  brouard
 int ndeath=1; /* Number of dead states */    (Module): Weights can have a decimal point as for
 int ncovmodel, ncov;     /* Total number of covariables including constant a12*1 +b12*x ncovmodel=2 */    English (a comma might work with a correct LC_NUMERIC environment,
 int popbased=0;    otherwise the weight is truncated).
     Modification of warning when the covariates values are not 0 or
 int *wav; /* Number of waves for this individuual 0 is possible */    1.
 int maxwav; /* Maxim number of waves */    Version 0.98g
 int jmin, jmax; /* min, max spacing between 2 waves */  
 int mle, weightopt;    Revision 1.121  2006/03/16 17:45:01  lievre
 int **mw; /* mw[mi][i] is number of the mi wave for this individual */    * imach.c (Module): Comments concerning covariates added
 int **dh; /* dh[mi][i] is number of steps between mi,mi+1 for this individual */  
 double jmean; /* Mean space between 2 waves */    * imach.c (Module): refinements in the computation of lli if
 double **oldm, **newm, **savm; /* Working pointers to matrices */    status=-2 in order to have more reliable computation if stepm is
 double **oldms, **newms, **savms; /* Fixed working pointers to matrices */    not 1 month. Version 0.98f
 FILE *fic,*ficpar, *ficparo,*ficres,  *ficrespl, *ficrespij, *ficrest,*ficresf;  
 FILE *ficgp, *fichtm,*ficresprob,*ficpop;    Revision 1.120  2006/03/16 15:10:38  lievre
 FILE *ficreseij;    (Module): refinements in the computation of lli if
   char filerese[FILENAMELENGTH];    status=-2 in order to have more reliable computation if stepm is
  FILE  *ficresvij;    not 1 month. Version 0.98f
   char fileresv[FILENAMELENGTH];  
  FILE  *ficresvpl;    Revision 1.119  2006/03/15 17:42:26  brouard
   char fileresvpl[FILENAMELENGTH];    (Module): Bug if status = -2, the loglikelihood was
     computed as likelihood omitting the logarithm. Version O.98e
 #define NR_END 1  
 #define FREE_ARG char*    Revision 1.118  2006/03/14 18:20:07  brouard
 #define FTOL 1.0e-10    (Module): varevsij Comments added explaining the second
     table of variances if popbased=1 .
 #define NRANSI    (Module): Covariances of eij, ekl added, graphs fixed, new html link.
 #define ITMAX 200    (Module): Function pstamp added
     (Module): Version 0.98d
 #define TOL 2.0e-4  
     Revision 1.117  2006/03/14 17:16:22  brouard
 #define CGOLD 0.3819660    (Module): varevsij Comments added explaining the second
 #define ZEPS 1.0e-10    table of variances if popbased=1 .
 #define SHFT(a,b,c,d) (a)=(b);(b)=(c);(c)=(d);    (Module): Covariances of eij, ekl added, graphs fixed, new html link.
     (Module): Function pstamp added
 #define GOLD 1.618034    (Module): Version 0.98d
 #define GLIMIT 100.0  
 #define TINY 1.0e-20    Revision 1.116  2006/03/06 10:29:27  brouard
     (Module): Variance-covariance wrong links and
 static double maxarg1,maxarg2;    varian-covariance of ej. is needed (Saito).
 #define FMAX(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)>(maxarg2)? (maxarg1):(maxarg2))  
 #define FMIN(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)<(maxarg2)? (maxarg1):(maxarg2))    Revision 1.115  2006/02/27 12:17:45  brouard
      (Module): One freematrix added in mlikeli! 0.98c
 #define SIGN(a,b) ((b)>0.0 ? fabs(a) : -fabs(a))  
 #define rint(a) floor(a+0.5)    Revision 1.114  2006/02/26 12:57:58  brouard
     (Module): Some improvements in processing parameter
 static double sqrarg;    filename with strsep.
 #define SQR(a) ((sqrarg=(a)) == 0.0 ? 0.0 :sqrarg*sqrarg)  
 #define SWAP(a,b) {temp=(a);(a)=(b);(b)=temp;}    Revision 1.113  2006/02/24 14:20:24  brouard
     (Module): Memory leaks checks with valgrind and:
 int imx;    datafile was not closed, some imatrix were not freed and on matrix
 int stepm;    allocation too.
 /* Stepm, step in month: minimum step interpolation*/  
     Revision 1.112  2006/01/30 09:55:26  brouard
 int m,nb;    (Module): Back to gnuplot.exe instead of wgnuplot.exe
 int *num, firstpass=0, lastpass=4,*cod, *ncodemax, *Tage;  
 double **agev,*moisnais, *annais, *moisdc, *andc,**mint, **anint;    Revision 1.111  2006/01/25 20:38:18  brouard
 double **pmmij, ***probs, ***mobaverage;    (Module): Lots of cleaning and bugs added (Gompertz)
     (Module): Comments can be added in data file. Missing date values
 double *weight;    can be a simple dot '.'.
 int **s; /* Status */  
 double *agedc, **covar, idx;    Revision 1.110  2006/01/25 00:51:50  brouard
 int **nbcode, *Tcode, *Tvar, **codtab, **Tvard, *Tprod, cptcovprod, *Tvaraff;    (Module): Lots of cleaning and bugs added (Gompertz)
   
 double ftol=FTOL; /* Tolerance for computing Max Likelihood */    Revision 1.109  2006/01/24 19:37:15  brouard
 double ftolhess; /* Tolerance for computing hessian */    (Module): Comments (lines starting with a #) are allowed in data.
   
 /**************** split *************************/    Revision 1.108  2006/01/19 18:05:42  lievre
 static  int split( char *path, char *dirc, char *name )    Gnuplot problem appeared...
 {    To be fixed
    char *s;                             /* pointer */  
    int  l1, l2;                         /* length counters */    Revision 1.107  2006/01/19 16:20:37  brouard
     Test existence of gnuplot in imach path
    l1 = strlen( path );                 /* length of path */  
    if ( l1 == 0 ) return( GLOCK_ERROR_NOPATH );    Revision 1.106  2006/01/19 13:24:36  brouard
    s = strrchr( path, '\\' );           /* find last / */    Some cleaning and links added in html output
    if ( s == NULL ) {                   /* no directory, so use current */  
 #if     defined(__bsd__)                /* get current working directory */    Revision 1.105  2006/01/05 20:23:19  lievre
       extern char       *getwd( );    *** empty log message ***
   
       if ( getwd( dirc ) == NULL ) {    Revision 1.104  2005/09/30 16:11:43  lievre
 #else    (Module): sump fixed, loop imx fixed, and simplifications.
       extern char       *getcwd( );    (Module): If the status is missing at the last wave but we know
     that the person is alive, then we can code his/her status as -2
       if ( getcwd( dirc, FILENAME_MAX ) == NULL ) {    (instead of missing=-1 in earlier versions) and his/her
 #endif    contributions to the likelihood is 1 - Prob of dying from last
          return( GLOCK_ERROR_GETCWD );    health status (= 1-p13= p11+p12 in the easiest case of somebody in
       }    the healthy state at last known wave). Version is 0.98
       strcpy( name, path );             /* we've got it */  
    } else {                             /* strip direcotry from path */    Revision 1.103  2005/09/30 15:54:49  lievre
       s++;                              /* after this, the filename */    (Module): sump fixed, loop imx fixed, and simplifications.
       l2 = strlen( s );                 /* length of filename */  
       if ( l2 == 0 ) return( GLOCK_ERROR_NOPATH );    Revision 1.102  2004/09/15 17:31:30  brouard
       strcpy( name, s );                /* save file name */    Add the possibility to read data file including tab characters.
       strncpy( dirc, path, l1 - l2 );   /* now the directory */  
       dirc[l1-l2] = 0;                  /* add zero */    Revision 1.101  2004/09/15 10:38:38  brouard
    }    Fix on curr_time
    l1 = strlen( dirc );                 /* length of directory */  
    if ( dirc[l1-1] != '\\' ) { dirc[l1] = '\\'; dirc[l1+1] = 0; }    Revision 1.100  2004/07/12 18:29:06  brouard
    return( 0 );                         /* we're done */    Add version for Mac OS X. Just define UNIX in Makefile
 }  
     Revision 1.99  2004/06/05 08:57:40  brouard
     *** empty log message ***
 /******************************************/  
     Revision 1.98  2004/05/16 15:05:56  brouard
 void replace(char *s, char*t)    New version 0.97 . First attempt to estimate force of mortality
 {    directly from the data i.e. without the need of knowing the health
   int i;    state at each age, but using a Gompertz model: log u =a + b*age .
   int lg=20;    This is the basic analysis of mortality and should be done before any
   i=0;    other analysis, in order to test if the mortality estimated from the
   lg=strlen(t);    cross-longitudinal survey is different from the mortality estimated
   for(i=0; i<= lg; i++) {    from other sources like vital statistic data.
     (s[i] = t[i]);  
     if (t[i]== '\\') s[i]='/';    The same imach parameter file can be used but the option for mle should be -3.
   }  
 }    Agnès, who wrote this part of the code, tried to keep most of the
     former routines in order to include the new code within the former code.
 int nbocc(char *s, char occ)  
 {    The output is very simple: only an estimate of the intercept and of
   int i,j=0;    the slope with 95% confident intervals.
   int lg=20;  
   i=0;    Current limitations:
   lg=strlen(s);    A) Even if you enter covariates, i.e. with the
   for(i=0; i<= lg; i++) {    model= V1+V2 equation for example, the programm does only estimate a unique global model without covariates.
   if  (s[i] == occ ) j++;    B) There is no computation of Life Expectancy nor Life Table.
   }  
   return j;    Revision 1.97  2004/02/20 13:25:42  lievre
 }    Version 0.96d. Population forecasting command line is (temporarily)
     suppressed.
 void cutv(char *u,char *v, char*t, char occ)  
 {    Revision 1.96  2003/07/15 15:38:55  brouard
   int i,lg,j,p=0;    * imach.c (Repository): Errors in subdirf, 2, 3 while printing tmpout is
   i=0;    rewritten within the same printf. Workaround: many printfs.
   for(j=0; j<=strlen(t)-1; j++) {  
     if((t[j]!= occ) && (t[j+1]== occ)) p=j+1;    Revision 1.95  2003/07/08 07:54:34  brouard
   }    * imach.c (Repository):
     (Repository): Using imachwizard code to output a more meaningful covariance
   lg=strlen(t);    matrix (cov(a12,c31) instead of numbers.
   for(j=0; j<p; j++) {  
     (u[j] = t[j]);    Revision 1.94  2003/06/27 13:00:02  brouard
   }    Just cleaning
      u[p]='\0';  
     Revision 1.93  2003/06/25 16:33:55  brouard
    for(j=0; j<= lg; j++) {    (Module): On windows (cygwin) function asctime_r doesn't
     if (j>=(p+1))(v[j-p-1] = t[j]);    exist so I changed back to asctime which exists.
   }    (Module): Version 0.96b
 }  
     Revision 1.92  2003/06/25 16:30:45  brouard
 /********************** nrerror ********************/    (Module): On windows (cygwin) function asctime_r doesn't
     exist so I changed back to asctime which exists.
 void nrerror(char error_text[])  
 {    Revision 1.91  2003/06/25 15:30:29  brouard
   fprintf(stderr,"ERREUR ...\n");    * imach.c (Repository): Duplicated warning errors corrected.
   fprintf(stderr,"%s\n",error_text);    (Repository): Elapsed time after each iteration is now output. It
   exit(1);    helps to forecast when convergence will be reached. Elapsed time
 }    is stamped in powell.  We created a new html file for the graphs
 /*********************** vector *******************/    concerning matrix of covariance. It has extension -cov.htm.
 double *vector(int nl, int nh)  
 {    Revision 1.90  2003/06/24 12:34:15  brouard
   double *v;    (Module): Some bugs corrected for windows. Also, when
   v=(double *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(double)));    mle=-1 a template is output in file "or"mypar.txt with the design
   if (!v) nrerror("allocation failure in vector");    of the covariance matrix to be input.
   return v-nl+NR_END;  
 }    Revision 1.89  2003/06/24 12:30:52  brouard
     (Module): Some bugs corrected for windows. Also, when
 /************************ free vector ******************/    mle=-1 a template is output in file "or"mypar.txt with the design
 void free_vector(double*v, int nl, int nh)    of the covariance matrix to be input.
 {  
   free((FREE_ARG)(v+nl-NR_END));    Revision 1.88  2003/06/23 17:54:56  brouard
 }    * imach.c (Repository): Create a sub-directory where all the secondary files are. Only imach, htm, gp and r(imach) are on the main directory. Correct time and other things.
   
 /************************ivector *******************************/    Revision 1.87  2003/06/18 12:26:01  brouard
 int *ivector(long nl,long nh)    Version 0.96
 {  
   int *v;    Revision 1.86  2003/06/17 20:04:08  brouard
   v=(int *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(int)));    (Module): Change position of html and gnuplot routines and added
   if (!v) nrerror("allocation failure in ivector");    routine fileappend.
   return v-nl+NR_END;  
 }    Revision 1.85  2003/06/17 13:12:43  brouard
     * imach.c (Repository): Check when date of death was earlier that
 /******************free ivector **************************/    current date of interview. It may happen when the death was just
 void free_ivector(int *v, long nl, long nh)    prior to the death. In this case, dh was negative and likelihood
 {    was wrong (infinity). We still send an "Error" but patch by
   free((FREE_ARG)(v+nl-NR_END));    assuming that the date of death was just one stepm after the
 }    interview.
     (Repository): Because some people have very long ID (first column)
 /******************* imatrix *******************************/    we changed int to long in num[] and we added a new lvector for
 int **imatrix(long nrl, long nrh, long ncl, long nch)    memory allocation. But we also truncated to 8 characters (left
      /* allocate a int matrix with subscript range m[nrl..nrh][ncl..nch] */    truncation)
 {    (Repository): No more line truncation errors.
   long i, nrow=nrh-nrl+1,ncol=nch-ncl+1;  
   int **m;    Revision 1.84  2003/06/13 21:44:43  brouard
      * imach.c (Repository): Replace "freqsummary" at a correct
   /* allocate pointers to rows */    place. It differs from routine "prevalence" which may be called
   m=(int **) malloc((size_t)((nrow+NR_END)*sizeof(int*)));    many times. Probs is memory consuming and must be used with
   if (!m) nrerror("allocation failure 1 in matrix()");    parcimony.
   m += NR_END;    Version 0.95a3 (should output exactly the same maximization than 0.8a2)
   m -= nrl;  
      Revision 1.83  2003/06/10 13:39:11  lievre
      *** empty log message ***
   /* allocate rows and set pointers to them */  
   m[nrl]=(int *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(int)));    Revision 1.82  2003/06/05 15:57:20  brouard
   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");    Add log in  imach.c and  fullversion number is now printed.
   m[nrl] += NR_END;  
   m[nrl] -= ncl;  */
    /*
   for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol;     Interpolated Markov Chain
    
   /* return pointer to array of pointers to rows */    Short summary of the programme:
   return m;    
 }    This program computes Healthy Life Expectancies from
     cross-longitudinal data. Cross-longitudinal data consist in: -1- a
 /****************** free_imatrix *************************/    first survey ("cross") where individuals from different ages are
 void free_imatrix(m,nrl,nrh,ncl,nch)    interviewed on their health status or degree of disability (in the
       int **m;    case of a health survey which is our main interest) -2- at least a
       long nch,ncl,nrh,nrl;    second wave of interviews ("longitudinal") which measure each change
      /* free an int matrix allocated by imatrix() */    (if any) in individual health status.  Health expectancies are
 {    computed from the time spent in each health state according to a
   free((FREE_ARG) (m[nrl]+ncl-NR_END));    model. More health states you consider, more time is necessary to reach the
   free((FREE_ARG) (m+nrl-NR_END));    Maximum Likelihood of the parameters involved in the model.  The
 }    simplest model is the multinomial logistic model where pij is the
     probability to be observed in state j at the second wave
 /******************* matrix *******************************/    conditional to be observed in state i at the first wave. Therefore
 double **matrix(long nrl, long nrh, long ncl, long nch)    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
   long i, nrow=nrh-nrl+1, ncol=nch-ncl+1;    complex model than "constant and age", you should modify the program
   double **m;    where the markup *Covariates have to be included here again* invites
     you to do it.  More covariates you add, slower the
   m=(double **) malloc((size_t)((nrow+NR_END)*sizeof(double*)));    convergence.
   if (!m) nrerror("allocation failure 1 in matrix()");  
   m += NR_END;    The advantage of this computer programme, compared to a simple
   m -= nrl;    multinomial logistic model, is clear when the delay between waves is not
     identical for each individual. Also, if a individual missed an
   m[nrl]=(double *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));    intermediate interview, the information is lost, but taken into
   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");    account using an interpolation or extrapolation.  
   m[nrl] += NR_END;  
   m[nrl] -= ncl;    hPijx is the probability to be observed in state i at age x+h
     conditional to the observed state i at age x. The delay 'h' can be
   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;    split into an exact number (nh*stepm) of unobserved intermediate
   return m;    states. This elementary transition (by month, quarter,
 }    semester or year) is modelled as a multinomial logistic.  The hPx
     matrix is simply the matrix product of nh*stepm elementary matrices
 /*************************free matrix ************************/    and the contribution of each individual to the likelihood is simply
 void free_matrix(double **m, long nrl, long nrh, long ncl, long nch)    hPijx.
 {  
   free((FREE_ARG)(m[nrl]+ncl-NR_END));    Also this programme outputs the covariance matrix of the parameters but also
   free((FREE_ARG)(m+nrl-NR_END));    of the life expectancies. It also computes the period (stable) prevalence. 
 }    
     Authors: Nicolas Brouard (brouard@ined.fr) and Agnès Lièvre (lievre@ined.fr).
 /******************* ma3x *******************************/             Institut national d'études démographiques, Paris.
 double ***ma3x(long nrl, long nrh, long ncl, long nch, long nll, long nlh)    This software have been partly granted by Euro-REVES, a concerted action
 {    from the European Union.
   long i, j, nrow=nrh-nrl+1, ncol=nch-ncl+1, nlay=nlh-nll+1;    It is copyrighted identically to a GNU software product, ie programme and
   double ***m;    software can be distributed freely for non commercial use. Latest version
     can be accessed at http://euroreves.ined.fr/imach .
   m=(double ***) malloc((size_t)((nrow+NR_END)*sizeof(double*)));  
   if (!m) nrerror("allocation failure 1 in matrix()");    Help to debug: LD_PRELOAD=/usr/local/lib/libnjamd.so ./imach foo.imach
   m += NR_END;    or better on gdb : set env LD_PRELOAD=/usr/local/lib/libnjamd.so
   m -= nrl;    
     **********************************************************************/
   m[nrl]=(double **) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));  /*
   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");    main
   m[nrl] += NR_END;    read parameterfile
   m[nrl] -= ncl;    read datafile
     concatwav
   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;    freqsummary
     if (mle >= 1)
   m[nrl][ncl]=(double *) malloc((size_t)((nrow*ncol*nlay+NR_END)*sizeof(double)));      mlikeli
   if (!m[nrl][ncl]) nrerror("allocation failure 3 in matrix()");    print results files
   m[nrl][ncl] += NR_END;    if mle==1 
   m[nrl][ncl] -= nll;       computes hessian
   for (j=ncl+1; j<=nch; j++)    read end of parameter file: agemin, agemax, bage, fage, estepm
     m[nrl][j]=m[nrl][j-1]+nlay;        begin-prev-date,...
      open gnuplot file
   for (i=nrl+1; i<=nrh; i++) {    open html file
     m[i][ncl]=m[i-1l][ncl]+ncol*nlay;    period (stable) prevalence
     for (j=ncl+1; j<=nch; j++)     for age prevalim()
       m[i][j]=m[i][j-1]+nlay;    h Pij x
   }    variance of p varprob
   return m;    forecasting if prevfcast==1 prevforecast call prevalence()
 }    health expectancies
     Variance-covariance of DFLE
 /*************************free ma3x ************************/    prevalence()
 void free_ma3x(double ***m, long nrl, long nrh, long ncl, long nch,long nll, long nlh)     movingaverage()
 {    varevsij() 
   free((FREE_ARG)(m[nrl][ncl]+ nll-NR_END));    if popbased==1 varevsij(,popbased)
   free((FREE_ARG)(m[nrl]+ncl-NR_END));    total life expectancies
   free((FREE_ARG)(m+nrl-NR_END));    Variance of period (stable) prevalence
 }   end
   */
 /***************** f1dim *************************/  
 extern int ncom;  
 extern double *pcom,*xicom;  
 extern double (*nrfunc)(double []);   
    #include <math.h>
 double f1dim(double x)  #include <stdio.h>
 {  #include <stdlib.h>
   int j;  #include <string.h>
   double f;  #include <unistd.h>
   double *xt;  
    #include <limits.h>
   xt=vector(1,ncom);  #include <sys/types.h>
   for (j=1;j<=ncom;j++) xt[j]=pcom[j]+x*xicom[j];  #include <sys/stat.h>
   f=(*nrfunc)(xt);  #include <errno.h>
   free_vector(xt,1,ncom);  extern int errno;
   return f;  
 }  /* #include <sys/time.h> */
   #include <time.h>
 /*****************brent *************************/  #include "timeval.h"
 double brent(double ax, double bx, double cx, double (*f)(double), double tol,  double *xmin)  
 {  #ifdef GSL
   int iter;  #include <gsl/gsl_errno.h>
   double a,b,d,etemp;  #include <gsl/gsl_multimin.h>
   double fu,fv,fw,fx;  #endif
   double ftemp;  
   double p,q,r,tol1,tol2,u,v,w,x,xm;  /* #include <libintl.h> */
   double e=0.0;  /* #define _(String) gettext (String) */
    
   a=(ax < cx ? ax : cx);  #define MAXLINE 256
   b=(ax > cx ? ax : cx);  
   x=w=v=bx;  #define GNUPLOTPROGRAM "gnuplot"
   fw=fv=fx=(*f)(x);  /*#define GNUPLOTPROGRAM "..\\gp37mgw\\wgnuplot"*/
   for (iter=1;iter<=ITMAX;iter++) {  #define FILENAMELENGTH 132
     xm=0.5*(a+b);  
     tol2=2.0*(tol1=tol*fabs(x)+ZEPS);  #define GLOCK_ERROR_NOPATH              -1      /* empty path */
     /*          if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret)))*/  #define GLOCK_ERROR_GETCWD              -2      /* cannot get cwd */
     printf(".");fflush(stdout);  
 #ifdef DEBUG  #define MAXPARM 128 /* Maximum number of parameters for the optimization */
     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);  #define NPARMAX 64 /* (nlstate+ndeath-1)*nlstate*ncovmodel */
     /*          if ((fabs(x-xm) <= (tol2-0.5*(b-a)))||(2.0*fabs(fu-ftemp) <= ftol*1.e-2*(fabs(fu)+fabs(ftemp)))) { */  
 #endif  #define NINTERVMAX 8
     if (fabs(x-xm) <= (tol2-0.5*(b-a))){  #define NLSTATEMAX 8 /* Maximum number of live states (for func) */
       *xmin=x;  #define NDEATHMAX 8 /* Maximum number of dead states (for func) */
       return fx;  #define NCOVMAX 20 /* Maximum number of covariates */
     }  #define MAXN 20000
     ftemp=fu;  #define YEARM 12. /* Number of months per year */
     if (fabs(e) > tol1) {  #define AGESUP 130
       r=(x-w)*(fx-fv);  #define AGEBASE 40
       q=(x-v)*(fx-fw);  #define AGEGOMP 10. /* Minimal age for Gompertz adjustment */
       p=(x-v)*q-(x-w)*r;  #ifdef UNIX
       q=2.0*(q-r);  #define DIRSEPARATOR '/'
       if (q > 0.0) p = -p;  #define CHARSEPARATOR "/"
       q=fabs(q);  #define ODIRSEPARATOR '\\'
       etemp=e;  #else
       e=d;  #define DIRSEPARATOR '\\'
       if (fabs(p) >= fabs(0.5*q*etemp) || p <= q*(a-x) || p >= q*(b-x))  #define CHARSEPARATOR "\\"
         d=CGOLD*(e=(x >= xm ? a-x : b-x));  #define ODIRSEPARATOR '/'
       else {  #endif
         d=p/q;  
         u=x+d;  /* $Id$ */
         if (u-a < tol2 || b-u < tol2)  /* $State$ */
           d=SIGN(tol1,xm-x);  
       }  char version[]="Imach version 0.98m, April 2010, INED-EUROREVES-Institut de longevite ";
     } else {  char fullversion[]="$Revision$ $Date$"; 
       d=CGOLD*(e=(x >= xm ? a-x : b-x));  char strstart[80];
     }  char optionfilext[10], optionfilefiname[FILENAMELENGTH];
     u=(fabs(d) >= tol1 ? x+d : x+SIGN(tol1,d));  int erreur=0, nberr=0, nbwarn=0; /* Error number, number of errors number of warnings  */
     fu=(*f)(u);  int nvar=0, nforce=0; /* Number of variables, number of forces */
     if (fu <= fx) {  int cptcovn=0, cptcovage=0, cptcoveff=0,cptcov=0; /* Number of covariates, of covariates with '*age' */
       if (u >= x) a=x; else b=x;  int npar=NPARMAX;
       SHFT(v,w,x,u)  int nlstate=2; /* Number of live states */
         SHFT(fv,fw,fx,fu)  int ndeath=1; /* Number of dead states */
         } else {  int ncovmodel=0, ncovcol=0;     /* Total number of covariables including constant a12*1 +b12*x ncovmodel=2 */
           if (u < x) a=u; else b=u;  int popbased=0;
           if (fu <= fw || w == x) {  
             v=w;  int *wav; /* Number of waves for this individuual 0 is possible */
             w=u;  int maxwav=0; /* Maxim number of waves */
             fv=fw;  int jmin=0, jmax=0; /* min, max spacing between 2 waves */
             fw=fu;  int ijmin=0, ijmax=0; /* Individuals having jmin and jmax */ 
           } else if (fu <= fv || v == x || v == w) {  int gipmx=0, gsw=0; /* Global variables on the number of contributions 
             v=u;                     to the likelihood and the sum of weights (done by funcone)*/
             fv=fu;  int mle=1, weightopt=0;
           }  int **mw; /* mw[mi][i] is number of the mi wave for this individual */
         }  int **dh; /* dh[mi][i] is number of steps between mi,mi+1 for this individual */
   }  int **bh; /* bh[mi][i] is the bias (+ or -) for this individual if the delay between
   nrerror("Too many iterations in brent");             * wave mi and wave mi+1 is not an exact multiple of stepm. */
   *xmin=x;  double jmean=1; /* Mean space between 2 waves */
   return fx;  double **oldm, **newm, **savm; /* Working pointers to matrices */
 }  double **oldms, **newms, **savms; /* Fixed working pointers to matrices */
   /*FILE *fic ; */ /* Used in readdata only */
 /****************** mnbrak ***********************/  FILE *ficpar, *ficparo,*ficres, *ficresp, *ficrespl, *ficrespij, *ficrest,*ficresf,*ficrespop;
   FILE *ficlog, *ficrespow;
 void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, double *fc,  int globpr=0; /* Global variable for printing or not */
             double (*func)(double))  double fretone; /* Only one call to likelihood */
 {  long ipmx=0; /* Number of contributions */
   double ulim,u,r,q, dum;  double sw; /* Sum of weights */
   double fu;  char filerespow[FILENAMELENGTH];
    char fileresilk[FILENAMELENGTH]; /* File of individual contributions to the likelihood */
   *fa=(*func)(*ax);  FILE *ficresilk;
   *fb=(*func)(*bx);  FILE *ficgp,*ficresprob,*ficpop, *ficresprobcov, *ficresprobcor;
   if (*fb > *fa) {  FILE *ficresprobmorprev;
     SHFT(dum,*ax,*bx,dum)  FILE *fichtm, *fichtmcov; /* Html File */
       SHFT(dum,*fb,*fa,dum)  FILE *ficreseij;
       }  char filerese[FILENAMELENGTH];
   *cx=(*bx)+GOLD*(*bx-*ax);  FILE *ficresstdeij;
   *fc=(*func)(*cx);  char fileresstde[FILENAMELENGTH];
   while (*fb > *fc) {  FILE *ficrescveij;
     r=(*bx-*ax)*(*fb-*fc);  char filerescve[FILENAMELENGTH];
     q=(*bx-*cx)*(*fb-*fa);  FILE  *ficresvij;
     u=(*bx)-((*bx-*cx)*q-(*bx-*ax)*r)/  char fileresv[FILENAMELENGTH];
       (2.0*SIGN(FMAX(fabs(q-r),TINY),q-r));  FILE  *ficresvpl;
     ulim=(*bx)+GLIMIT*(*cx-*bx);  char fileresvpl[FILENAMELENGTH];
     if ((*bx-u)*(u-*cx) > 0.0) {  char title[MAXLINE];
       fu=(*func)(u);  char optionfile[FILENAMELENGTH], datafile[FILENAMELENGTH],  filerespl[FILENAMELENGTH];
     } else if ((*cx-u)*(u-ulim) > 0.0) {  char plotcmd[FILENAMELENGTH], pplotcmd[FILENAMELENGTH];
       fu=(*func)(u);  char tmpout[FILENAMELENGTH],  tmpout2[FILENAMELENGTH]; 
       if (fu < *fc) {  char command[FILENAMELENGTH];
         SHFT(*bx,*cx,u,*cx+GOLD*(*cx-*bx))  int  outcmd=0;
           SHFT(*fb,*fc,fu,(*func)(u))  
           }  char fileres[FILENAMELENGTH], filerespij[FILENAMELENGTH], filereso[FILENAMELENGTH], rfileres[FILENAMELENGTH];
     } else if ((u-ulim)*(ulim-*cx) >= 0.0) {  
       u=ulim;  char filelog[FILENAMELENGTH]; /* Log file */
       fu=(*func)(u);  char filerest[FILENAMELENGTH];
     } else {  char fileregp[FILENAMELENGTH];
       u=(*cx)+GOLD*(*cx-*bx);  char popfile[FILENAMELENGTH];
       fu=(*func)(u);  
     }  char optionfilegnuplot[FILENAMELENGTH], optionfilehtm[FILENAMELENGTH], optionfilehtmcov[FILENAMELENGTH] ;
     SHFT(*ax,*bx,*cx,u)  
       SHFT(*fa,*fb,*fc,fu)  struct timeval start_time, end_time, curr_time, last_time, forecast_time;
       }  struct timezone tzp;
 }  extern int gettimeofday();
   struct tm tmg, tm, tmf, *gmtime(), *localtime();
 /*************** linmin ************************/  long time_value;
   extern long time();
 int ncom;  char strcurr[80], strfor[80];
 double *pcom,*xicom;  
 double (*nrfunc)(double []);  char *endptr;
    long lval;
 void linmin(double p[], double xi[], int n, double *fret,double (*func)(double []))  double dval;
 {  
   double brent(double ax, double bx, double cx,  #define NR_END 1
                double (*f)(double), double tol, double *xmin);  #define FREE_ARG char*
   double f1dim(double x);  #define FTOL 1.0e-10
   void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb,  
               double *fc, double (*func)(double));  #define NRANSI 
   int j;  #define ITMAX 200 
   double xx,xmin,bx,ax;  
   double fx,fb,fa;  #define TOL 2.0e-4 
    
   ncom=n;  #define CGOLD 0.3819660 
   pcom=vector(1,n);  #define ZEPS 1.0e-10 
   xicom=vector(1,n);  #define SHFT(a,b,c,d) (a)=(b);(b)=(c);(c)=(d); 
   nrfunc=func;  
   for (j=1;j<=n;j++) {  #define GOLD 1.618034 
     pcom[j]=p[j];  #define GLIMIT 100.0 
     xicom[j]=xi[j];  #define TINY 1.0e-20 
   }  
   ax=0.0;  static double maxarg1,maxarg2;
   xx=1.0;  #define FMAX(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)>(maxarg2)? (maxarg1):(maxarg2))
   mnbrak(&ax,&xx,&bx,&fa,&fx,&fb,f1dim);  #define FMIN(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)<(maxarg2)? (maxarg1):(maxarg2))
   *fret=brent(ax,xx,bx,f1dim,TOL,&xmin);    
 #ifdef DEBUG  #define SIGN(a,b) ((b)>0.0 ? fabs(a) : -fabs(a))
   printf("retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);  #define rint(a) floor(a+0.5)
 #endif  
   for (j=1;j<=n;j++) {  static double sqrarg;
     xi[j] *= xmin;  #define SQR(a) ((sqrarg=(a)) == 0.0 ? 0.0 :sqrarg*sqrarg)
     p[j] += xi[j];  #define SWAP(a,b) {temp=(a);(a)=(b);(b)=temp;} 
   }  int agegomp= AGEGOMP;
   free_vector(xicom,1,n);  
   free_vector(pcom,1,n);  int imx; 
 }  int stepm=1;
   /* Stepm, step in month: minimum step interpolation*/
 /*************** powell ************************/  
 void powell(double p[], double **xi, int n, double ftol, int *iter, double *fret,  int estepm;
             double (*func)(double []))  /* Estepm, step in month to interpolate survival function in order to approximate Life Expectancy*/
 {  
   void linmin(double p[], double xi[], int n, double *fret,  int m,nb;
               double (*func)(double []));  long *num;
   int i,ibig,j;  int firstpass=0, lastpass=4,*cod, *ncodemax, *Tage,*cens;
   double del,t,*pt,*ptt,*xit;  double **agev,*moisnais, *annais, *moisdc, *andc,**mint, **anint;
   double fp,fptt;  double **pmmij, ***probs;
   double *xits;  double *ageexmed,*agecens;
   pt=vector(1,n);  double dateintmean=0;
   ptt=vector(1,n);  
   xit=vector(1,n);  double *weight;
   xits=vector(1,n);  int **s; /* Status */
   *fret=(*func)(p);  double *agedc, **covar, idx;
   for (j=1;j<=n;j++) pt[j]=p[j];  int **nbcode, *Tvar, **codtab, **Tvard, *Tprod, cptcovprod, *Tvaraff;
   for (*iter=1;;++(*iter)) {  double *lsurv, *lpop, *tpop;
     fp=(*fret);  
     ibig=0;  double ftol=FTOL; /* Tolerance for computing Max Likelihood */
     del=0.0;  double ftolhess; /* Tolerance for computing hessian */
     printf("\nPowell iter=%d -2*LL=%.12f",*iter,*fret);  
     for (i=1;i<=n;i++)  /**************** split *************************/
       printf(" %d %.12f",i, p[i]);  static  int split( char *path, char *dirc, char *name, char *ext, char *finame )
     printf("\n");  {
     for (i=1;i<=n;i++) {    /* From a file name with (full) path (either Unix or Windows) we extract the directory (dirc)
       for (j=1;j<=n;j++) xit[j]=xi[j][i];       the name of the file (name), its extension only (ext) and its first part of the name (finame)
       fptt=(*fret);    */ 
 #ifdef DEBUG    char  *ss;                            /* pointer */
       printf("fret=%lf \n",*fret);    int   l1, l2;                         /* length counters */
 #endif  
       printf("%d",i);fflush(stdout);    l1 = strlen(path );                   /* length of path */
       linmin(p,xit,n,fret,func);    if ( l1 == 0 ) return( GLOCK_ERROR_NOPATH );
       if (fabs(fptt-(*fret)) > del) {    ss= strrchr( path, DIRSEPARATOR );            /* find last / */
         del=fabs(fptt-(*fret));    if ( ss == NULL ) {                   /* no directory, so determine current directory */
         ibig=i;      strcpy( name, path );               /* we got the fullname name because no directory */
       }      /*if(strrchr(path, ODIRSEPARATOR )==NULL)
 #ifdef DEBUG        printf("Warning you should use %s as a separator\n",DIRSEPARATOR);*/
       printf("%d %.12e",i,(*fret));      /* get current working directory */
       for (j=1;j<=n;j++) {      /*    extern  char* getcwd ( char *buf , int len);*/
         xits[j]=FMAX(fabs(p[j]-pt[j]),1.e-5);      if ( getcwd( dirc, FILENAME_MAX ) == NULL ) {
         printf(" x(%d)=%.12e",j,xit[j]);        return( GLOCK_ERROR_GETCWD );
       }      }
       for(j=1;j<=n;j++)      /* got dirc from getcwd*/
         printf(" p=%.12e",p[j]);      printf(" DIRC = %s \n",dirc);
       printf("\n");    } else {                              /* strip direcotry from path */
 #endif      ss++;                               /* after this, the filename */
     }      l2 = strlen( ss );                  /* length of filename */
     if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret))) {      if ( l2 == 0 ) return( GLOCK_ERROR_NOPATH );
 #ifdef DEBUG      strcpy( name, ss );         /* save file name */
       int k[2],l;      strncpy( dirc, path, l1 - l2 );     /* now the directory */
       k[0]=1;      dirc[l1-l2] = 0;                    /* add zero */
       k[1]=-1;      printf(" DIRC2 = %s \n",dirc);
       printf("Max: %.12e",(*func)(p));    }
       for (j=1;j<=n;j++)    /* We add a separator at the end of dirc if not exists */
         printf(" %.12e",p[j]);    l1 = strlen( dirc );                  /* length of directory */
       printf("\n");    if( dirc[l1-1] != DIRSEPARATOR ){
       for(l=0;l<=1;l++) {      dirc[l1] =  DIRSEPARATOR;
         for (j=1;j<=n;j++) {      dirc[l1+1] = 0; 
           ptt[j]=p[j]+(p[j]-pt[j])*k[l];      printf(" DIRC3 = %s \n",dirc);
           printf("l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);    }
         }    ss = strrchr( name, '.' );            /* find last / */
         printf("func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));    if (ss >0){
       }      ss++;
 #endif      strcpy(ext,ss);                     /* save extension */
       l1= strlen( name);
       l2= strlen(ss)+1;
       free_vector(xit,1,n);      strncpy( finame, name, l1-l2);
       free_vector(xits,1,n);      finame[l1-l2]= 0;
       free_vector(ptt,1,n);    }
       free_vector(pt,1,n);  
       return;    return( 0 );                          /* we're done */
     }  }
     if (*iter == ITMAX) nrerror("powell exceeding maximum iterations.");  
     for (j=1;j<=n;j++) {  
       ptt[j]=2.0*p[j]-pt[j];  /******************************************/
       xit[j]=p[j]-pt[j];  
       pt[j]=p[j];  void replace_back_to_slash(char *s, char*t)
     }  {
     fptt=(*func)(ptt);    int i;
     if (fptt < fp) {    int lg=0;
       t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)-del*SQR(fp-fptt);    i=0;
       if (t < 0.0) {    lg=strlen(t);
         linmin(p,xit,n,fret,func);    for(i=0; i<= lg; i++) {
         for (j=1;j<=n;j++) {      (s[i] = t[i]);
           xi[j][ibig]=xi[j][n];      if (t[i]== '\\') s[i]='/';
           xi[j][n]=xit[j];    }
         }  }
 #ifdef DEBUG  
         printf("Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);  char *trimbb(char *out, char *in)
         for(j=1;j<=n;j++)  { /* Trim multiple blanks in line */
           printf(" %.12e",xit[j]);    char *s;
         printf("\n");    s=out;
 #endif    while (*in != '\0'){
       }      while( *in == ' ' && *(in+1) == ' ' && *(in+1) != '\0'){
     }        in++;
   }      }
 }      *out++ = *in++;
     }
 /**** Prevalence limit ****************/    *out='\0';
     return s;
 double **prevalim(double **prlim, int nlstate, double x[], double age, double **oldm, double **savm, double ftolpl, int ij)  }
 {  
   /* Computes the prevalence limit in each live state at age x by left multiplying the unit  int nbocc(char *s, char occ)
      matrix by transitions matrix until convergence is reached */  {
     int i,j=0;
   int i, ii,j,k;    int lg=20;
   double min, max, maxmin, maxmax,sumnew=0.;    i=0;
   double **matprod2();    lg=strlen(s);
   double **out, cov[NCOVMAX], **pmij();    for(i=0; i<= lg; i++) {
   double **newm;    if  (s[i] == occ ) j++;
   double agefin, delaymax=50 ; /* Max number of years to converge */    }
     return j;
   for (ii=1;ii<=nlstate+ndeath;ii++)  }
     for (j=1;j<=nlstate+ndeath;j++){  
       oldm[ii][j]=(ii==j ? 1.0 : 0.0);  void cutv(char *u,char *v, char*t, char occ)
     }  {
     /* cuts string t into u and v where u ends before first occurence of char 'occ' 
    cov[1]=1.;       and v starts after first occurence of char 'occ' : ex cutv(u,v,"abcdef2ghi2j",'2')
         gives u="abcedf" and v="ghi2j" */
  /* Even if hstepm = 1, at least one multiplication by the unit matrix */    int i,lg,j,p=0;
   for(agefin=age-stepm/YEARM; agefin>=age-delaymax; agefin=agefin-stepm/YEARM){    i=0;
     newm=savm;    for(j=0; j<=strlen(t)-1; j++) {
     /* Covariates have to be included here again */      if((t[j]!= occ) && (t[j+1]== occ)) p=j+1;
      cov[2]=agefin;    }
    
       for (k=1; k<=cptcovn;k++) {    lg=strlen(t);
         cov[2+k]=nbcode[Tvar[k]][codtab[ij][Tvar[k]]];    for(j=0; j<p; j++) {
         /*printf("ij=%d Tvar[k]=%d nbcode=%d cov=%lf\n",ij, Tvar[k],nbcode[Tvar[k]][codtab[ij][Tvar[k]]],cov[2+k]);*/      (u[j] = t[j]);
       }    }
       for (k=1; k<=cptcovage;k++)       u[p]='\0';
         cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2];  
       for (k=1; k<=cptcovprod;k++)     for(j=0; j<= lg; j++) {
         cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]]*nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]];      if (j>=(p+1))(v[j-p-1] = t[j]);
     }
       /*printf("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/  }
       /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/  
   /********************** nrerror ********************/
     out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm);  
   void nrerror(char error_text[])
     savm=oldm;  {
     oldm=newm;    fprintf(stderr,"ERREUR ...\n");
     maxmax=0.;    fprintf(stderr,"%s\n",error_text);
     for(j=1;j<=nlstate;j++){    exit(EXIT_FAILURE);
       min=1.;  }
       max=0.;  /*********************** vector *******************/
       for(i=1; i<=nlstate; i++) {  double *vector(int nl, int nh)
         sumnew=0;  {
         for(k=1; k<=ndeath; k++) sumnew+=newm[i][nlstate+k];    double *v;
         prlim[i][j]= newm[i][j]/(1-sumnew);    v=(double *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(double)));
         max=FMAX(max,prlim[i][j]);    if (!v) nrerror("allocation failure in vector");
         min=FMIN(min,prlim[i][j]);    return v-nl+NR_END;
       }  }
       maxmin=max-min;  
       maxmax=FMAX(maxmax,maxmin);  /************************ free vector ******************/
     }  void free_vector(double*v, int nl, int nh)
     if(maxmax < ftolpl){  {
       return prlim;    free((FREE_ARG)(v+nl-NR_END));
     }  }
   }  
 }  /************************ivector *******************************/
   int *ivector(long nl,long nh)
 /*************** transition probabilities ***************/  {
     int *v;
 double **pmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )    v=(int *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(int)));
 {    if (!v) nrerror("allocation failure in ivector");
   double s1, s2;    return v-nl+NR_END;
   /*double t34;*/  }
   int i,j,j1, nc, ii, jj;  
   /******************free ivector **************************/
     for(i=1; i<= nlstate; i++){  void free_ivector(int *v, long nl, long nh)
     for(j=1; j<i;j++){  {
       for (nc=1, s2=0.;nc <=ncovmodel; nc++){    free((FREE_ARG)(v+nl-NR_END));
         /*s2 += param[i][j][nc]*cov[nc];*/  }
         s2 += x[(i-1)*nlstate*ncovmodel+(j-1)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];  
         /*printf("Int j<i s1=%.17e, s2=%.17e\n",s1,s2);*/  /************************lvector *******************************/
       }  long *lvector(long nl,long nh)
       ps[i][j]=s2;  {
       /*printf("s1=%.17e, s2=%.17e\n",s1,s2);*/    long *v;
     }    v=(long *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(long)));
     for(j=i+1; j<=nlstate+ndeath;j++){    if (!v) nrerror("allocation failure in ivector");
       for (nc=1, s2=0.;nc <=ncovmodel; nc++){    return v-nl+NR_END;
         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 lvector **************************/
       ps[i][j]=(s2);  void free_lvector(long *v, long nl, long nh)
     }  {
   }    free((FREE_ARG)(v+nl-NR_END));
     /*ps[3][2]=1;*/  }
   
   for(i=1; i<= nlstate; i++){  /******************* imatrix *******************************/
      s1=0;  int **imatrix(long nrl, long nrh, long ncl, long nch) 
     for(j=1; j<i; j++)       /* allocate a int matrix with subscript range m[nrl..nrh][ncl..nch] */ 
       s1+=exp(ps[i][j]);  { 
     for(j=i+1; j<=nlstate+ndeath; j++)    long i, nrow=nrh-nrl+1,ncol=nch-ncl+1; 
       s1+=exp(ps[i][j]);    int **m; 
     ps[i][i]=1./(s1+1.);    
     for(j=1; j<i; j++)    /* allocate pointers to rows */ 
       ps[i][j]= exp(ps[i][j])*ps[i][i];    m=(int **) malloc((size_t)((nrow+NR_END)*sizeof(int*))); 
     for(j=i+1; j<=nlstate+ndeath; j++)    if (!m) nrerror("allocation failure 1 in matrix()"); 
       ps[i][j]= exp(ps[i][j])*ps[i][i];    m += NR_END; 
     /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */    m -= nrl; 
   } /* end i */    
     
   for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){    /* allocate rows and set pointers to them */ 
     for(jj=1; jj<= nlstate+ndeath; jj++){    m[nrl]=(int *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(int))); 
       ps[ii][jj]=0;    if (!m[nrl]) nrerror("allocation failure 2 in matrix()"); 
       ps[ii][ii]=1;    m[nrl] += NR_END; 
     }    m[nrl] -= ncl; 
   }    
     for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol; 
     
   /*   for(ii=1; ii<= nlstate+ndeath; ii++){    /* return pointer to array of pointers to rows */ 
     for(jj=1; jj<= nlstate+ndeath; jj++){    return m; 
      printf("%lf ",ps[ii][jj]);  } 
    }  
     printf("\n ");  /****************** free_imatrix *************************/
     }  void free_imatrix(m,nrl,nrh,ncl,nch)
     printf("\n ");printf("%lf ",cov[2]);*/        int **m;
 /*        long nch,ncl,nrh,nrl; 
   for(i=1; i<= npar; i++) printf("%f ",x[i]);       /* free an int matrix allocated by imatrix() */ 
   goto end;*/  { 
     return ps;    free((FREE_ARG) (m[nrl]+ncl-NR_END)); 
 }    free((FREE_ARG) (m+nrl-NR_END)); 
   } 
 /**************** Product of 2 matrices ******************/  
   /******************* matrix *******************************/
 double **matprod2(double **out, double **in,long nrl, long nrh, long ncl, long nch, long ncolol, long ncoloh, double **b)  double **matrix(long nrl, long nrh, long ncl, long nch)
 {  {
   /* Computes the matrix product of in(1,nrh-nrl+1)(1,nch-ncl+1) times    long i, nrow=nrh-nrl+1, ncol=nch-ncl+1;
      b(1,nch-ncl+1)(1,ncoloh-ncolol+1) into out(...) */    double **m;
   /* in, b, out are matrice of pointers which should have been initialized  
      before: only the contents of out is modified. The function returns    m=(double **) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
      a pointer to pointers identical to out */    if (!m) nrerror("allocation failure 1 in matrix()");
   long i, j, k;    m += NR_END;
   for(i=nrl; i<= nrh; i++)    m -= nrl;
     for(k=ncolol; k<=ncoloh; k++)  
       for(j=ncl,out[i][k]=0.; j<=nch; j++)    m[nrl]=(double *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
         out[i][k] +=in[i][j]*b[j][k];    if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
     m[nrl] += NR_END;
   return out;    m[nrl] -= ncl;
 }  
     for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
     return m;
 /************* Higher Matrix Product ***************/    /* print *(*(m+1)+70) or print m[1][70]; print m+1 or print &(m[1]) 
      */
 double ***hpxij(double ***po, int nhstepm, double age, int hstepm, double *x, int nlstate, int stepm, double **oldm, double **savm, int ij )  }
 {  
   /* Computes the transition matrix starting at age 'age' over 'nhstepm*hstepm*stepm' month  /*************************free matrix ************************/
      duration (i.e. until  void free_matrix(double **m, long nrl, long nrh, long ncl, long nch)
      age (in years)  age+nhstepm*stepm/12) by multiplying nhstepm*hstepm matrices.  {
      Output is stored in matrix po[i][j][h] for h every 'hstepm' step    free((FREE_ARG)(m[nrl]+ncl-NR_END));
      (typically every 2 years instead of every month which is too big).    free((FREE_ARG)(m+nrl-NR_END));
      Model is determined by parameters x and covariates have to be  }
      included manually here.  
   /******************* ma3x *******************************/
      */  double ***ma3x(long nrl, long nrh, long ncl, long nch, long nll, long nlh)
   {
   int i, j, d, h, k;    long i, j, nrow=nrh-nrl+1, ncol=nch-ncl+1, nlay=nlh-nll+1;
   double **out, cov[NCOVMAX];    double ***m;
   double **newm;  
     m=(double ***) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
   /* Hstepm could be zero and should return the unit matrix */    if (!m) nrerror("allocation failure 1 in matrix()");
   for (i=1;i<=nlstate+ndeath;i++)    m += NR_END;
     for (j=1;j<=nlstate+ndeath;j++){    m -= nrl;
       oldm[i][j]=(i==j ? 1.0 : 0.0);  
       po[i][j][0]=(i==j ? 1.0 : 0.0);    m[nrl]=(double **) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
     }    if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
   /* Even if hstepm = 1, at least one multiplication by the unit matrix */    m[nrl] += NR_END;
   for(h=1; h <=nhstepm; h++){    m[nrl] -= ncl;
     for(d=1; d <=hstepm; d++){  
       newm=savm;    for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
       /* Covariates have to be included here again */  
       cov[1]=1.;    m[nrl][ncl]=(double *) malloc((size_t)((nrow*ncol*nlay+NR_END)*sizeof(double)));
       cov[2]=age+((h-1)*hstepm + (d-1))*stepm/YEARM;    if (!m[nrl][ncl]) nrerror("allocation failure 3 in matrix()");
       for (k=1; k<=cptcovn;k++) cov[2+k]=nbcode[Tvar[k]][codtab[ij][Tvar[k]]];    m[nrl][ncl] += NR_END;
       for (k=1; k<=cptcovage;k++)    m[nrl][ncl] -= nll;
         cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2];    for (j=ncl+1; j<=nch; j++) 
       for (k=1; k<=cptcovprod;k++)      m[nrl][j]=m[nrl][j-1]+nlay;
         cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]]*nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]];    
     for (i=nrl+1; i<=nrh; i++) {
       m[i][ncl]=m[i-1l][ncl]+ncol*nlay;
       /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/      for (j=ncl+1; j<=nch; j++) 
       /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/        m[i][j]=m[i][j-1]+nlay;
       out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath,    }
                    pmij(pmmij,cov,ncovmodel,x,nlstate));    return m; 
       savm=oldm;    /*  gdb: p *(m+1) <=> p m[1] and p (m+1) <=> p (m+1) <=> p &(m[1])
       oldm=newm;             &(m[i][j][k]) <=> *((*(m+i) + j)+k)
     }    */
     for(i=1; i<=nlstate+ndeath; i++)  }
       for(j=1;j<=nlstate+ndeath;j++) {  
         po[i][j][h]=newm[i][j];  /*************************free ma3x ************************/
         /*printf("i=%d j=%d h=%d po[i][j][h]=%f ",i,j,h,po[i][j][h]);  void free_ma3x(double ***m, long nrl, long nrh, long ncl, long nch,long nll, long nlh)
          */  {
       }    free((FREE_ARG)(m[nrl][ncl]+ nll-NR_END));
   } /* end h */    free((FREE_ARG)(m[nrl]+ncl-NR_END));
   return po;    free((FREE_ARG)(m+nrl-NR_END));
 }  }
   
   /*************** function subdirf ***********/
 /*************** log-likelihood *************/  char *subdirf(char fileres[])
 double func( double *x)  {
 {    /* Caution optionfilefiname is hidden */
   int i, ii, j, k, mi, d, kk;    strcpy(tmpout,optionfilefiname);
   double l, ll[NLSTATEMAX], cov[NCOVMAX];    strcat(tmpout,"/"); /* Add to the right */
   double **out;    strcat(tmpout,fileres);
   double sw; /* Sum of weights */    return tmpout;
   double lli; /* Individual log likelihood */  }
   long ipmx;  
   /*extern weight */  /*************** function subdirf2 ***********/
   /* We are differentiating ll according to initial status */  char *subdirf2(char fileres[], char *preop)
   /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/  {
   /*for(i=1;i<imx;i++)    
     printf(" %d\n",s[4][i]);    /* Caution optionfilefiname is hidden */
   */    strcpy(tmpout,optionfilefiname);
   cov[1]=1.;    strcat(tmpout,"/");
     strcat(tmpout,preop);
   for(k=1; k<=nlstate; k++) ll[k]=0.;    strcat(tmpout,fileres);
   for (i=1,ipmx=0, sw=0.; i<=imx; i++){    return tmpout;
     for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];  }
     for(mi=1; mi<= wav[i]-1; mi++){  
       for (ii=1;ii<=nlstate+ndeath;ii++)  /*************** function subdirf3 ***********/
         for (j=1;j<=nlstate+ndeath;j++) oldm[ii][j]=(ii==j ? 1.0 : 0.0);  char *subdirf3(char fileres[], char *preop, char *preop2)
       for(d=0; d<dh[mi][i]; d++){  {
         newm=savm;    
         cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;    /* Caution optionfilefiname is hidden */
         for (kk=1; kk<=cptcovage;kk++) {    strcpy(tmpout,optionfilefiname);
           cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];    strcat(tmpout,"/");
         }    strcat(tmpout,preop);
            strcat(tmpout,preop2);
         out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,    strcat(tmpout,fileres);
                      1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));    return tmpout;
         savm=oldm;  }
         oldm=newm;  
          /***************** f1dim *************************/
          extern int ncom; 
       } /* end mult */  extern double *pcom,*xicom;
        extern double (*nrfunc)(double []); 
       lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);   
       /* printf(" %f ",out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);*/  double f1dim(double x) 
       ipmx +=1;  { 
       sw += weight[i];    int j; 
       ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;    double f;
     } /* end of wave */    double *xt; 
   } /* end of individual */   
     xt=vector(1,ncom); 
   for(k=1,l=0.; k<=nlstate; k++) l += ll[k];    for (j=1;j<=ncom;j++) xt[j]=pcom[j]+x*xicom[j]; 
   /* printf("l1=%f l2=%f ",ll[1],ll[2]); */    f=(*nrfunc)(xt); 
   l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */    free_vector(xt,1,ncom); 
   return -l;    return f; 
 }  } 
   
   /*****************brent *************************/
 /*********** Maximum Likelihood Estimation ***************/  double brent(double ax, double bx, double cx, double (*f)(double), double tol,  double *xmin) 
   { 
 void mlikeli(FILE *ficres,double p[], int npar, int ncovmodel, int nlstate, double ftol, double (*func)(double []))    int iter; 
 {    double a,b,d,etemp;
   int i,j, iter;    double fu,fv,fw,fx;
   double **xi,*delti;    double ftemp;
   double fret;    double p,q,r,tol1,tol2,u,v,w,x,xm; 
   xi=matrix(1,npar,1,npar);    double e=0.0; 
   for (i=1;i<=npar;i++)   
     for (j=1;j<=npar;j++)    a=(ax < cx ? ax : cx); 
       xi[i][j]=(i==j ? 1.0 : 0.0);    b=(ax > cx ? ax : cx); 
   printf("Powell\n");    x=w=v=bx; 
   powell(p,xi,npar,ftol,&iter,&fret,func);    fw=fv=fx=(*f)(x); 
     for (iter=1;iter<=ITMAX;iter++) { 
    printf("\n#Number of iterations = %d, -2 Log likelihood = %.12f\n",iter,func(p));      xm=0.5*(a+b); 
   fprintf(ficres,"#Number of iterations = %d, -2 Log likelihood = %.12f ",iter,func(p));      tol2=2.0*(tol1=tol*fabs(x)+ZEPS); 
       /*          if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret)))*/
 }      printf(".");fflush(stdout);
       fprintf(ficlog,".");fflush(ficlog);
 /**** Computes Hessian and covariance matrix ***/  #ifdef DEBUG
 void hesscov(double **matcov, double p[], int npar, double delti[], double ftolhess, double (*func)(double []))      printf("br %d,x=%.10e xm=%.10e b=%.10e a=%.10e tol=%.10e tol1=%.10e tol2=%.10e x-xm=%.10e fx=%.12e fu=%.12e,fw=%.12e,ftemp=%.12e,ftol=%.12e\n",iter,x,xm,b,a,tol,tol1,tol2,(x-xm),fx,fu,fw,ftemp,ftol);
 {      fprintf(ficlog,"br %d,x=%.10e xm=%.10e b=%.10e a=%.10e tol=%.10e tol1=%.10e tol2=%.10e x-xm=%.10e fx=%.12e fu=%.12e,fw=%.12e,ftemp=%.12e,ftol=%.12e\n",iter,x,xm,b,a,tol,tol1,tol2,(x-xm),fx,fu,fw,ftemp,ftol);
   double  **a,**y,*x,pd;      /*          if ((fabs(x-xm) <= (tol2-0.5*(b-a)))||(2.0*fabs(fu-ftemp) <= ftol*1.e-2*(fabs(fu)+fabs(ftemp)))) { */
   double **hess;  #endif
   int i, j,jk;      if (fabs(x-xm) <= (tol2-0.5*(b-a))){ 
   int *indx;        *xmin=x; 
         return fx; 
   double hessii(double p[], double delta, int theta, double delti[]);      } 
   double hessij(double p[], double delti[], int i, int j);      ftemp=fu;
   void lubksb(double **a, int npar, int *indx, double b[]) ;      if (fabs(e) > tol1) { 
   void ludcmp(double **a, int npar, int *indx, double *d) ;        r=(x-w)*(fx-fv); 
         q=(x-v)*(fx-fw); 
   hess=matrix(1,npar,1,npar);        p=(x-v)*q-(x-w)*r; 
         q=2.0*(q-r); 
   printf("\nCalculation of the hessian matrix. Wait...\n");        if (q > 0.0) p = -p; 
   for (i=1;i<=npar;i++){        q=fabs(q); 
     printf("%d",i);fflush(stdout);        etemp=e; 
     hess[i][i]=hessii(p,ftolhess,i,delti);        e=d; 
     /*printf(" %f ",p[i]);*/        if (fabs(p) >= fabs(0.5*q*etemp) || p <= q*(a-x) || p >= q*(b-x)) 
     /*printf(" %lf ",hess[i][i]);*/          d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
   }        else { 
            d=p/q; 
   for (i=1;i<=npar;i++) {          u=x+d; 
     for (j=1;j<=npar;j++)  {          if (u-a < tol2 || b-u < tol2) 
       if (j>i) {            d=SIGN(tol1,xm-x); 
         printf(".%d%d",i,j);fflush(stdout);        } 
         hess[i][j]=hessij(p,delti,i,j);      } else { 
         hess[j][i]=hess[i][j];            d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
         /*printf(" %lf ",hess[i][j]);*/      } 
       }      u=(fabs(d) >= tol1 ? x+d : x+SIGN(tol1,d)); 
     }      fu=(*f)(u); 
   }      if (fu <= fx) { 
   printf("\n");        if (u >= x) a=x; else b=x; 
         SHFT(v,w,x,u) 
   printf("\nInverting the hessian to get the covariance matrix. Wait...\n");          SHFT(fv,fw,fx,fu) 
            } else { 
   a=matrix(1,npar,1,npar);            if (u < x) a=u; else b=u; 
   y=matrix(1,npar,1,npar);            if (fu <= fw || w == x) { 
   x=vector(1,npar);              v=w; 
   indx=ivector(1,npar);              w=u; 
   for (i=1;i<=npar;i++)              fv=fw; 
     for (j=1;j<=npar;j++) a[i][j]=hess[i][j];              fw=fu; 
   ludcmp(a,npar,indx,&pd);            } else if (fu <= fv || v == x || v == w) { 
               v=u; 
   for (j=1;j<=npar;j++) {              fv=fu; 
     for (i=1;i<=npar;i++) x[i]=0;            } 
     x[j]=1;          } 
     lubksb(a,npar,indx,x);    } 
     for (i=1;i<=npar;i++){    nrerror("Too many iterations in brent"); 
       matcov[i][j]=x[i];    *xmin=x; 
     }    return fx; 
   }  } 
   
   printf("\n#Hessian matrix#\n");  /****************** mnbrak ***********************/
   for (i=1;i<=npar;i++) {  
     for (j=1;j<=npar;j++) {  void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, double *fc, 
       printf("%.3e ",hess[i][j]);              double (*func)(double)) 
     }  { 
     printf("\n");    double ulim,u,r,q, dum;
   }    double fu; 
    
   /* Recompute Inverse */    *fa=(*func)(*ax); 
   for (i=1;i<=npar;i++)    *fb=(*func)(*bx); 
     for (j=1;j<=npar;j++) a[i][j]=matcov[i][j];    if (*fb > *fa) { 
   ludcmp(a,npar,indx,&pd);      SHFT(dum,*ax,*bx,dum) 
         SHFT(dum,*fb,*fa,dum) 
   /*  printf("\n#Hessian matrix recomputed#\n");        } 
     *cx=(*bx)+GOLD*(*bx-*ax); 
   for (j=1;j<=npar;j++) {    *fc=(*func)(*cx); 
     for (i=1;i<=npar;i++) x[i]=0;    while (*fb > *fc) { 
     x[j]=1;      r=(*bx-*ax)*(*fb-*fc); 
     lubksb(a,npar,indx,x);      q=(*bx-*cx)*(*fb-*fa); 
     for (i=1;i<=npar;i++){      u=(*bx)-((*bx-*cx)*q-(*bx-*ax)*r)/ 
       y[i][j]=x[i];        (2.0*SIGN(FMAX(fabs(q-r),TINY),q-r)); 
       printf("%.3e ",y[i][j]);      ulim=(*bx)+GLIMIT*(*cx-*bx); 
     }      if ((*bx-u)*(u-*cx) > 0.0) { 
     printf("\n");        fu=(*func)(u); 
   }      } else if ((*cx-u)*(u-ulim) > 0.0) { 
   */        fu=(*func)(u); 
         if (fu < *fc) { 
   free_matrix(a,1,npar,1,npar);          SHFT(*bx,*cx,u,*cx+GOLD*(*cx-*bx)) 
   free_matrix(y,1,npar,1,npar);            SHFT(*fb,*fc,fu,(*func)(u)) 
   free_vector(x,1,npar);            } 
   free_ivector(indx,1,npar);      } else if ((u-ulim)*(ulim-*cx) >= 0.0) { 
   free_matrix(hess,1,npar,1,npar);        u=ulim; 
         fu=(*func)(u); 
       } else { 
 }        u=(*cx)+GOLD*(*cx-*bx); 
         fu=(*func)(u); 
 /*************** hessian matrix ****************/      } 
 double hessii( double x[], double delta, int theta, double delti[])      SHFT(*ax,*bx,*cx,u) 
 {        SHFT(*fa,*fb,*fc,fu) 
   int i;        } 
   int l=1, lmax=20;  } 
   double k1,k2;  
   double p2[NPARMAX+1];  /*************** linmin ************************/
   double res;  
   double delt, delts, nkhi=10.,nkhif=1., khi=1.e-4;  int ncom; 
   double fx;  double *pcom,*xicom;
   int k=0,kmax=10;  double (*nrfunc)(double []); 
   double l1;   
   void linmin(double p[], double xi[], int n, double *fret,double (*func)(double [])) 
   fx=func(x);  { 
   for (i=1;i<=npar;i++) p2[i]=x[i];    double brent(double ax, double bx, double cx, 
   for(l=0 ; l <=lmax; l++){                 double (*f)(double), double tol, double *xmin); 
     l1=pow(10,l);    double f1dim(double x); 
     delts=delt;    void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, 
     for(k=1 ; k <kmax; k=k+1){                double *fc, double (*func)(double)); 
       delt = delta*(l1*k);    int j; 
       p2[theta]=x[theta] +delt;    double xx,xmin,bx,ax; 
       k1=func(p2)-fx;    double fx,fb,fa;
       p2[theta]=x[theta]-delt;   
       k2=func(p2)-fx;    ncom=n; 
       /*res= (k1-2.0*fx+k2)/delt/delt; */    pcom=vector(1,n); 
       res= (k1+k2)/delt/delt/2.; /* Divided by because L and not 2*L */    xicom=vector(1,n); 
          nrfunc=func; 
 #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);      pcom[j]=p[j]; 
 #endif      xicom[j]=xi[j]; 
       /*if(fabs(k1-2.0*fx+k2) <1.e-13){ */    } 
       if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)){    ax=0.0; 
         k=kmax;    xx=1.0; 
       }    mnbrak(&ax,&xx,&bx,&fa,&fx,&fb,f1dim); 
       else if((k1 >khi/nkhif) || (k2 >khi/nkhif)){ /* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. */    *fret=brent(ax,xx,bx,f1dim,TOL,&xmin); 
         k=kmax; l=lmax*10.;  #ifdef DEBUG
       }    printf("retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);
       else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){    fprintf(ficlog,"retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);
         delts=delt;  #endif
       }    for (j=1;j<=n;j++) { 
     }      xi[j] *= xmin; 
   }      p[j] += xi[j]; 
   delti[theta]=delts;    } 
   return res;    free_vector(xicom,1,n); 
      free_vector(pcom,1,n); 
 }  } 
   
 double hessij( double x[], double delti[], int thetai,int thetaj)  char *asc_diff_time(long time_sec, char ascdiff[])
 {  {
   int i;    long sec_left, days, hours, minutes;
   int l=1, l1, lmax=20;    days = (time_sec) / (60*60*24);
   double k1,k2,k3,k4,res,fx;    sec_left = (time_sec) % (60*60*24);
   double p2[NPARMAX+1];    hours = (sec_left) / (60*60) ;
   int k;    sec_left = (sec_left) %(60*60);
     minutes = (sec_left) /60;
   fx=func(x);    sec_left = (sec_left) % (60);
   for (k=1; k<=2; k++) {    sprintf(ascdiff,"%d day(s) %d hour(s) %d minute(s) %d second(s)",days, hours, minutes, sec_left);  
     for (i=1;i<=npar;i++) p2[i]=x[i];    return ascdiff;
     p2[thetai]=x[thetai]+delti[thetai]/k;  }
     p2[thetaj]=x[thetaj]+delti[thetaj]/k;  
     k1=func(p2)-fx;  /*************** powell ************************/
    void powell(double p[], double **xi, int n, double ftol, int *iter, double *fret, 
     p2[thetai]=x[thetai]+delti[thetai]/k;              double (*func)(double [])) 
     p2[thetaj]=x[thetaj]-delti[thetaj]/k;  { 
     k2=func(p2)-fx;    void linmin(double p[], double xi[], int n, double *fret, 
                  double (*func)(double [])); 
     p2[thetai]=x[thetai]-delti[thetai]/k;    int i,ibig,j; 
     p2[thetaj]=x[thetaj]+delti[thetaj]/k;    double del,t,*pt,*ptt,*xit;
     k3=func(p2)-fx;    double fp,fptt;
      double *xits;
     p2[thetai]=x[thetai]-delti[thetai]/k;    int niterf, itmp;
     p2[thetaj]=x[thetaj]-delti[thetaj]/k;  
     k4=func(p2)-fx;    pt=vector(1,n); 
     res=(k1-k2-k3+k4)/4.0/delti[thetai]*k/delti[thetaj]*k/2.; /* Because of L not 2*L */    ptt=vector(1,n); 
 #ifdef DEBUG    xit=vector(1,n); 
     printf("%d %d k=%d, k1=%.12e k2=%.12e k3=%.12e k4=%.12e delti/k=%.12e deltj/k=%.12e, xi-de/k=%.12e xj-de/k=%.12e  res=%.12e k1234=%.12e,k1-2=%.12e,k3-4=%.12e\n",thetai,thetaj,k,k1,k2,k3,k4,delti[thetai]/k,delti[thetaj]/k,x[thetai]-delti[thetai]/k,x[thetaj]-delti[thetaj]/k, res,k1-k2-k3+k4,k1-k2,k3-k4);    xits=vector(1,n); 
 #endif    *fret=(*func)(p); 
   }    for (j=1;j<=n;j++) pt[j]=p[j]; 
   return res;    for (*iter=1;;++(*iter)) { 
 }      fp=(*fret); 
       ibig=0; 
 /************** Inverse of matrix **************/      del=0.0; 
 void ludcmp(double **a, int n, int *indx, double *d)      last_time=curr_time;
 {      (void) gettimeofday(&curr_time,&tzp);
   int i,imax,j,k;      printf("\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret, curr_time.tv_sec-last_time.tv_sec, curr_time.tv_sec-start_time.tv_sec);fflush(stdout);
   double big,dum,sum,temp;      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); fflush(ficlog);
   double *vv;  /*     fprintf(ficrespow,"%d %.12f %ld",*iter,*fret,curr_time.tv_sec-start_time.tv_sec); */
       for (i=1;i<=n;i++) {
   vv=vector(1,n);        printf(" %d %.12f",i, p[i]);
   *d=1.0;        fprintf(ficlog," %d %.12lf",i, p[i]);
   for (i=1;i<=n;i++) {        fprintf(ficrespow," %.12lf", p[i]);
     big=0.0;      }
     for (j=1;j<=n;j++)      printf("\n");
       if ((temp=fabs(a[i][j])) > big) big=temp;      fprintf(ficlog,"\n");
     if (big == 0.0) nrerror("Singular matrix in routine ludcmp");      fprintf(ficrespow,"\n");fflush(ficrespow);
     vv[i]=1.0/big;      if(*iter <=3){
   }        tm = *localtime(&curr_time.tv_sec);
   for (j=1;j<=n;j++) {        strcpy(strcurr,asctime(&tm));
     for (i=1;i<j;i++) {  /*       asctime_r(&tm,strcurr); */
       sum=a[i][j];        forecast_time=curr_time; 
       for (k=1;k<i;k++) sum -= a[i][k]*a[k][j];        itmp = strlen(strcurr);
       a[i][j]=sum;        if(strcurr[itmp-1]=='\n')  /* Windows outputs with a new line */
     }          strcurr[itmp-1]='\0';
     big=0.0;        printf("\nConsidering the time needed for this last iteration #%d: %ld seconds,\n",*iter,curr_time.tv_sec-last_time.tv_sec);
     for (i=j;i<=n;i++) {        fprintf(ficlog,"\nConsidering the time needed for this last iteration #%d: %ld seconds,\n",*iter,curr_time.tv_sec-last_time.tv_sec);
       sum=a[i][j];        for(niterf=10;niterf<=30;niterf+=10){
       for (k=1;k<j;k++)          forecast_time.tv_sec=curr_time.tv_sec+(niterf-*iter)*(curr_time.tv_sec-last_time.tv_sec);
         sum -= a[i][k]*a[k][j];          tmf = *localtime(&forecast_time.tv_sec);
       a[i][j]=sum;  /*      asctime_r(&tmf,strfor); */
       if ( (dum=vv[i]*fabs(sum)) >= big) {          strcpy(strfor,asctime(&tmf));
         big=dum;          itmp = strlen(strfor);
         imax=i;          if(strfor[itmp-1]=='\n')
       }          strfor[itmp-1]='\0';
     }          printf("   - if your program needs %d iterations to converge, convergence will be \n   reached in %s i.e.\n   on %s (current time is %s);\n",niterf, asc_diff_time(forecast_time.tv_sec-curr_time.tv_sec,tmpout),strfor,strcurr);
     if (j != imax) {          fprintf(ficlog,"   - if your program needs %d iterations to converge, convergence will be \n   reached in %s i.e.\n   on %s (current time is %s);\n",niterf, asc_diff_time(forecast_time.tv_sec-curr_time.tv_sec,tmpout),strfor,strcurr);
       for (k=1;k<=n;k++) {        }
         dum=a[imax][k];      }
         a[imax][k]=a[j][k];      for (i=1;i<=n;i++) { 
         a[j][k]=dum;        for (j=1;j<=n;j++) xit[j]=xi[j][i]; 
       }        fptt=(*fret); 
       *d = -(*d);  #ifdef DEBUG
       vv[imax]=vv[j];        printf("fret=%lf \n",*fret);
     }        fprintf(ficlog,"fret=%lf \n",*fret);
     indx[j]=imax;  #endif
     if (a[j][j] == 0.0) a[j][j]=TINY;        printf("%d",i);fflush(stdout);
     if (j != n) {        fprintf(ficlog,"%d",i);fflush(ficlog);
       dum=1.0/(a[j][j]);        linmin(p,xit,n,fret,func); 
       for (i=j+1;i<=n;i++) a[i][j] *= dum;        if (fabs(fptt-(*fret)) > del) { 
     }          del=fabs(fptt-(*fret)); 
   }          ibig=i; 
   free_vector(vv,1,n);  /* Doesn't work */        } 
 ;  #ifdef DEBUG
 }        printf("%d %.12e",i,(*fret));
         fprintf(ficlog,"%d %.12e",i,(*fret));
 void lubksb(double **a, int n, int *indx, double b[])        for (j=1;j<=n;j++) {
 {          xits[j]=FMAX(fabs(p[j]-pt[j]),1.e-5);
   int i,ii=0,ip,j;          printf(" x(%d)=%.12e",j,xit[j]);
   double sum;          fprintf(ficlog," x(%d)=%.12e",j,xit[j]);
          }
   for (i=1;i<=n;i++) {        for(j=1;j<=n;j++) {
     ip=indx[i];          printf(" p=%.12e",p[j]);
     sum=b[ip];          fprintf(ficlog," p=%.12e",p[j]);
     b[ip]=b[i];        }
     if (ii)        printf("\n");
       for (j=ii;j<=i-1;j++) sum -= a[i][j]*b[j];        fprintf(ficlog,"\n");
     else if (sum) ii=i;  #endif
     b[i]=sum;      } 
   }      if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret))) {
   for (i=n;i>=1;i--) {  #ifdef DEBUG
     sum=b[i];        int k[2],l;
     for (j=i+1;j<=n;j++) sum -= a[i][j]*b[j];        k[0]=1;
     b[i]=sum/a[i][i];        k[1]=-1;
   }        printf("Max: %.12e",(*func)(p));
 }        fprintf(ficlog,"Max: %.12e",(*func)(p));
         for (j=1;j<=n;j++) {
 /************ Frequencies ********************/          printf(" %.12e",p[j]);
 void  freqsummary(char fileres[], int agemin, int agemax, int **s, double **agev, int nlstate, int imx, int *Tvar, int **nbcode, int *ncodemax, int fprev1,int lprev1,double **mint,double **anint, int boolprev, double dateprev1,double dateprev2)          fprintf(ficlog," %.12e",p[j]);
 {  /* Some frequencies */        }
          printf("\n");
   int i, m, jk, k1,i1, j1, bool, z1,z2,j;        fprintf(ficlog,"\n");
   double ***freq; /* Frequencies */        for(l=0;l<=1;l++) {
   double *pp;          for (j=1;j<=n;j++) {
   double pos, k2;            ptt[j]=p[j]+(p[j]-pt[j])*k[l];
   FILE *ficresp;            printf("l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
   char fileresp[FILENAMELENGTH];            fprintf(ficlog,"l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
           }
   pp=vector(1,nlstate);          printf("func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
   probs= ma3x(1,130 ,1,8, 1,8);          fprintf(ficlog,"func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
   strcpy(fileresp,"p");        }
   strcat(fileresp,fileres);  #endif
   if((ficresp=fopen(fileresp,"w"))==NULL) {  
     printf("Problem with prevalence resultfile: %s\n", fileresp);  
     exit(0);        free_vector(xit,1,n); 
   }        free_vector(xits,1,n); 
   freq= ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,agemin,agemax+3);        free_vector(ptt,1,n); 
   j1=0;        free_vector(pt,1,n); 
         return; 
   j=cptcoveff;      } 
   if (cptcovn<1) {j=1;ncodemax[1]=1;}      if (*iter == ITMAX) nrerror("powell exceeding maximum iterations."); 
       for (j=1;j<=n;j++) { 
   for(k1=1; k1<=j;k1++){        ptt[j]=2.0*p[j]-pt[j]; 
    for(i1=1; i1<=ncodemax[k1];i1++){        xit[j]=p[j]-pt[j]; 
        j1++;        pt[j]=p[j]; 
        /*printf("cptcoveff=%d Tvaraff=%d", cptcoveff,Tvaraff[1]);      } 
          scanf("%d", i);*/      fptt=(*func)(ptt); 
         for (i=-1; i<=nlstate+ndeath; i++)        if (fptt < fp) { 
          for (jk=-1; jk<=nlstate+ndeath; jk++)          t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)-del*SQR(fp-fptt); 
            for(m=agemin; m <= agemax+3; m++)        if (t < 0.0) { 
              freq[i][jk][m]=0;          linmin(p,xit,n,fret,func); 
                  for (j=1;j<=n;j++) { 
        for (i=1; i<=imx; i++) {            xi[j][ibig]=xi[j][n]; 
          bool=1;            xi[j][n]=xit[j]; 
          if  (cptcovn>0) {          }
            for (z1=1; z1<=cptcoveff; z1++)  #ifdef DEBUG
              if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtab[j1][z1]])          printf("Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
                bool=0;          fprintf(ficlog,"Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
          }          for(j=1;j<=n;j++){
          if (bool==1) {            printf(" %.12e",xit[j]);
            if (boolprev==1){            fprintf(ficlog," %.12e",xit[j]);
              for(m=fprev1; m<=lprev1; m++){          }
                if(agev[m][i]==0) agev[m][i]=agemax+1;          printf("\n");
                if(agev[m][i]==1) agev[m][i]=agemax+2;          fprintf(ficlog,"\n");
                freq[s[m][i]][s[m+1][i]][(int)agev[m][i]] += weight[i];  #endif
                freq[s[m][i]][s[m+1][i]][(int) agemax+3] += weight[i];        }
              }      } 
            }    } 
            else {  } 
             for(m=firstpass; m<=lastpass; m++){  
              k2=anint[m][i]+(mint[m][i]/12.);  /**** Prevalence limit (stable or period prevalence)  ****************/
              if ((k2>=dateprev1) && (k2<=dateprev2)) {  
              if(agev[m][i]==0) agev[m][i]=agemax+1;  double **prevalim(double **prlim, int nlstate, double x[], double age, double **oldm, double **savm, double ftolpl, int ij)
              if(agev[m][i]==1) agev[m][i]=agemax+2;  {
              freq[s[m][i]][s[m+1][i]][(int)agev[m][i]] += weight[i];    /* Computes the prevalence limit in each live state at age x by left multiplying the unit
              freq[s[m][i]][s[m+1][i]][(int) agemax+3] += weight[i];       matrix by transitions matrix until convergence is reached */
              }  
             }    int i, ii,j,k;
            }    double min, max, maxmin, maxmax,sumnew=0.;
           }    double **matprod2();
        }    double **out, cov[NCOVMAX+1], **pmij();
         if  (cptcovn>0) {    double **newm;
          fprintf(ficresp, "\n#********** Variable ");    double agefin, delaymax=50 ; /* Max number of years to converge */
          for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresp, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);  
        fprintf(ficresp, "**********\n#");    for (ii=1;ii<=nlstate+ndeath;ii++)
         }      for (j=1;j<=nlstate+ndeath;j++){
        for(i=1; i<=nlstate;i++)        oldm[ii][j]=(ii==j ? 1.0 : 0.0);
          fprintf(ficresp, " Age Prev(%d) N(%d) N",i,i);      }
        fprintf(ficresp, "\n");  
             cov[1]=1.;
   for(i=(int)agemin; i <= (int)agemax+3; i++){   
     if(i==(int)agemax+3)   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
       printf("Total");    for(agefin=age-stepm/YEARM; agefin>=age-delaymax; agefin=agefin-stepm/YEARM){
     else      newm=savm;
       printf("Age %d", i);      /* Covariates have to be included here again */
     for(jk=1; jk <=nlstate ; jk++){       cov[2]=agefin;
       for(m=-1, pp[jk]=0; m <=nlstate+ndeath ; m++)    
         pp[jk] += freq[jk][m][i];        for (k=1; k<=cptcovn;k++) {
     }          cov[2+k]=nbcode[Tvar[k]][codtab[ij][Tvar[k]]];
     for(jk=1; jk <=nlstate ; jk++){          /*      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(m=-1, pos=0; m <=0 ; m++)        }
         pos += freq[jk][m][i];        for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2];
       if(pp[jk]>=1.e-10)        for (k=1; k<=cptcovprod;k++)
         printf(" %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);          cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]] * nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]];
       else  
         printf(" %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);        /*printf("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/
     }        /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/
         /*printf("ij=%d cov[3]=%lf \n",ij, cov[3]);*/
      for(jk=1; jk <=nlstate ; jk++){      out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm);
       for(m=0, pp[jk]=0; m <=nlstate+ndeath; m++)  
         pp[jk] += freq[jk][m][i];      savm=oldm;
      }      oldm=newm;
       maxmax=0.;
     for(jk=1,pos=0; jk <=nlstate ; jk++)      for(j=1;j<=nlstate;j++){
       pos += pp[jk];        min=1.;
     for(jk=1; jk <=nlstate ; jk++){        max=0.;
       if(pos>=1.e-5)        for(i=1; i<=nlstate; i++) {
         printf(" %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);          sumnew=0;
       else          for(k=1; k<=ndeath; k++) sumnew+=newm[i][nlstate+k];
         printf(" %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);          prlim[i][j]= newm[i][j]/(1-sumnew);
       if( i <= (int) agemax){          max=FMAX(max,prlim[i][j]);
         if(pos>=1.e-5){          min=FMIN(min,prlim[i][j]);
           fprintf(ficresp," %d %.5f %.0f %.0f",i,pp[jk]/pos, pp[jk],pos);        }
           probs[i][jk][j1]= pp[jk]/pos;        maxmin=max-min;
           /*printf("\ni=%d jk=%d j1=%d %.5f %.0f %.0f %f",i,jk,j1,pp[jk]/pos, pp[jk],pos,probs[i][jk][j1]);*/        maxmax=FMAX(maxmax,maxmin);
         }      }
       else      if(maxmax < ftolpl){
           fprintf(ficresp," %d NaNq %.0f %.0f",i,pp[jk],pos);        return prlim;
       }      }
     }    }
     for(jk=-1; jk <=nlstate+ndeath; jk++)  }
       for(m=-1; m <=nlstate+ndeath; m++)  
         if(freq[jk][m][i] !=0 ) printf(" %d%d=%.0f",jk,m,freq[jk][m][i]);  /*************** transition probabilities ***************/ 
     if(i <= (int) agemax)  
       fprintf(ficresp,"\n");  double **pmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )
     printf("\n");  {
     }    double s1, s2;
     }    /*double t34;*/
  }    int i,j,j1, nc, ii, jj;
    
   fclose(ficresp);      for(i=1; i<= nlstate; i++){
   free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath,(int) agemin,(int) agemax+3);        for(j=1; j<i;j++){
   free_vector(pp,1,nlstate);          for (nc=1, s2=0.;nc <=ncovmodel; nc++){
             /*s2 += param[i][j][nc]*cov[nc];*/
 }  /* End of Freq */            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); */
 /************ Prevalence ********************/          }
 void prevalence(int agemin, int agemax, int **s, double **agev, int nlstate, int imx, int *Tvar, int **nbcode, int *ncodemax, int fprev1,int lprev1, double **mint,double **anint,int boolprev, double dateprev1, double dateprev2)          ps[i][j]=s2;
 {  /* Some frequencies */  /*      printf("s1=%.17e, s2=%.17e\n",s1,s2); */
          }
   int i, m, jk, k1, i1, j1, bool, z1,z2,j;        for(j=i+1; j<=nlstate+ndeath;j++){
   double ***freq; /* Frequencies */          for (nc=1, s2=0.;nc <=ncovmodel; nc++){
   double *pp;            s2 += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];
   double pos, k2;  /*        printf("Int j>i s1=%.17e, s2=%.17e %lx %lx\n",s1,s2,s1,s2); */
           }
   pp=vector(1,nlstate);          ps[i][j]=s2;
   probs= ma3x(1,130 ,1,8, 1,8);        }
        }
   freq=ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,agemin,agemax+3);      /*ps[3][2]=1;*/
   j1=0;      
        for(i=1; i<= nlstate; i++){
   j=cptcoveff;        s1=0;
   if (cptcovn<1) {j=1;ncodemax[1]=1;}        for(j=1; j<i; j++){
            s1+=exp(ps[i][j]);
  for(k1=1; k1<=j;k1++){          /*printf("debug1 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
     for(i1=1; i1<=ncodemax[k1];i1++){        }
       j1++;        for(j=i+1; j<=nlstate+ndeath; j++){
            s1+=exp(ps[i][j]);
       for (i=-1; i<=nlstate+ndeath; i++)            /*printf("debug2 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
         for (jk=-1; jk<=nlstate+ndeath; jk++)          }
           for(m=agemin; m <= agemax+3; m++)        ps[i][i]=1./(s1+1.);
           freq[i][jk][m]=0;        for(j=1; j<i; j++)
                ps[i][j]= exp(ps[i][j])*ps[i][i];
       for (i=1; i<=imx; i++) {        for(j=i+1; j<=nlstate+ndeath; j++)
         bool=1;          ps[i][j]= exp(ps[i][j])*ps[i][i];
         if  (cptcovn>0) {        /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */
           for (z1=1; z1<=cptcoveff; z1++)      } /* end i */
             if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtab[j1][z1]])      
               bool=0;      for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){
               }        for(jj=1; jj<= nlstate+ndeath; jj++){
         if (bool==1) {          ps[ii][jj]=0;
           if (boolprev==1){          ps[ii][ii]=1;
             for(m=fprev1; m<=lprev1; m++){        }
               if(agev[m][i]==0) agev[m][i]=agemax+1;      }
               if(agev[m][i]==1) agev[m][i]=agemax+2;      
               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(ii=1; ii<= nlstate+ndeath; ii++){ */
             }  /*       for(jj=1; jj<= nlstate+ndeath; jj++){ */
           }  /*         printf("ddd %lf ",ps[ii][jj]); */
           else {  /*       } */
             for(m=firstpass; m<=lastpass; m++){  /*       printf("\n "); */
               k2=anint[m][i]+(mint[m][i]/12.);  /*        } */
               if ((k2>=dateprev1) && (k2<=dateprev2)) {  /*        printf("\n ");printf("%lf ",cov[2]); */
                 if(agev[m][i]==0) agev[m][i]=agemax+1;         /*
                 if(agev[m][i]==1) agev[m][i]=agemax+2;        for(i=1; i<= npar; i++) printf("%f ",x[i]);
                 freq[s[m][i]][s[m+1][i]][(int)agev[m][i]] += weight[i];        goto end;*/
                 freq[s[m][i]][s[m+1][i]][(int) agemax+3] += weight[i];      return ps;
               }  }
             }  
           }  /**************** Product of 2 matrices ******************/
         }  
       }  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++){  {
           for(jk=1; jk <=nlstate ; jk++){    /* Computes the matrix product of in(1,nrh-nrl+1)(1,nch-ncl+1) times
             for(m=-1, pp[jk]=0; m <=nlstate+ndeath ; m++)       b(1,nch-ncl+1)(1,ncoloh-ncolol+1) into out(...) */
               pp[jk] += freq[jk][m][i];    /* in, b, out are matrice of pointers which should have been initialized 
           }       before: only the contents of out is modified. The function returns
           for(jk=1; jk <=nlstate ; jk++){       a pointer to pointers identical to out */
             for(m=-1, pos=0; m <=0 ; m++)    long i, j, k;
             pos += freq[jk][m][i];    for(i=nrl; i<= nrh; 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=0, pp[jk]=0; m <=nlstate+ndeath; m++)  
              pp[jk] += freq[jk][m][i];    return out;
          }  }
            
          for(jk=1,pos=0; jk <=nlstate ; jk++) pos += pp[jk];  
   /************* Higher Matrix Product ***************/
          for(jk=1; jk <=nlstate ; jk++){            
            if( i <= (int) agemax){  double ***hpxij(double ***po, int nhstepm, double age, int hstepm, double *x, int nlstate, int stepm, double **oldm, double **savm, int ij )
              if(pos>=1.e-5){  {
                probs[i][jk][j1]= pp[jk]/pos;    /* Computes the transition matrix starting at age 'age' over 
              }       'nhstepm*hstepm*stepm' months (i.e. until
            }       age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying 
          }       nhstepm*hstepm matrices. 
                 Output is stored in matrix po[i][j][h] for h every 'hstepm' step 
         }       (typically every 2 years instead of every month which is too big 
     }       for the memory).
   }       Model is determined by parameters x and covariates have to be 
         included manually here. 
    
   free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath,(int) agemin,(int) agemax+3);       */
   free_vector(pp,1,nlstate);  
      int i, j, d, h, k;
 }  /* End of Freq */    double **out, cov[NCOVMAX+1];
 /************* Waves Concatenation ***************/    double **newm;
   
 void  concatwav(int wav[], int **dh, int **mw, int **s, double *agedc, double **agev, int  firstpass, int lastpass, int imx, int nlstate, int stepm)    /* Hstepm could be zero and should return the unit matrix */
 {    for (i=1;i<=nlstate+ndeath;i++)
   /* Concatenates waves: wav[i] is the number of effective (useful waves) of individual i.      for (j=1;j<=nlstate+ndeath;j++){
      Death is a valid wave (if date is known).        oldm[i][j]=(i==j ? 1.0 : 0.0);
      mw[mi][i] is the mi (mi=1 to wav[i])  effective wave of individual i        po[i][j][0]=(i==j ? 1.0 : 0.0);
      dh[m][i] of dh[mw[mi][i][i] is the delay between two effective waves m=mw[mi][i]      }
      and mw[mi+1][i]. dh depends on stepm.    /* Even if hstepm = 1, at least one multiplication by the unit matrix */
      */    for(h=1; h <=nhstepm; h++){
       for(d=1; d <=hstepm; d++){
   int i, mi, m;        newm=savm;
   /* int j, k=0,jk, ju, jl,jmin=1e+5, jmax=-1;        /* Covariates have to be included here again */
      double sum=0., jmean=0.;*/        cov[1]=1.;
         cov[2]=age+((h-1)*hstepm + (d-1))*stepm/YEARM;
   int j, k=0,jk, ju, jl;        for (k=1; k<=cptcovn;k++) 
   double sum=0.;          cov[2+k]=nbcode[Tvar[k]][codtab[ij][Tvar[k]]];
   jmin=1e+5;        for (k=1; k<=cptcovage;k++)
   jmax=-1;          cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2];
   jmean=0.;        for (k=1; k<=cptcovprod;k++)
   for(i=1; i<=imx; i++){          cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]]*nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]];
     mi=0;  
     m=firstpass;  
     while(s[m][i] <= nlstate){        /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/
       if(s[m][i]>=1)        /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/
         mw[++mi][i]=m;        out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, 
       if(m >=lastpass)                     pmij(pmmij,cov,ncovmodel,x,nlstate));
         break;        savm=oldm;
       else        oldm=newm;
         m++;      }
     }/* end while */      for(i=1; i<=nlstate+ndeath; i++)
     if (s[m][i] > nlstate){        for(j=1;j<=nlstate+ndeath;j++) {
       mi++;     /* Death is another wave */          po[i][j][h]=newm[i][j];
       /* if(mi==0)  never been interviewed correctly before death */          /*if(h==nhstepm) printf("po[%d][%d][%d]=%f ",i,j,h,po[i][j][h]);*/
          /* Only death is a correct wave */        }
       mw[mi][i]=m;      /*printf("h=%d ",h);*/
     }    } /* end h */
   /*     printf("\n H=%d \n",h); */
     wav[i]=mi;    return po;
     if(mi==0)  }
       printf("Warning, no any valid information for:%d line=%d\n",num[i],i);  
   }  
   /*************** log-likelihood *************/
   for(i=1; i<=imx; i++){  double func( double *x)
     for(mi=1; mi<wav[i];mi++){  {
       if (stepm <=0)    int i, ii, j, k, mi, d, kk;
         dh[mi][i]=1;    double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1];
       else{    double **out;
         if (s[mw[mi+1][i]][i] > nlstate) {    double sw; /* Sum of weights */
           if (agedc[i] < 2*AGESUP) {    double lli; /* Individual log likelihood */
           j= rint(agedc[i]*12-agev[mw[mi][i]][i]*12);    int s1, s2;
           if(j==0) j=1;  /* Survives at least one month after exam */    double bbh, survp;
           k=k+1;    long ipmx;
           if (j >= jmax) jmax=j;    /*extern weight */
           if (j <= jmin) jmin=j;    /* We are differentiating ll according to initial status */
           sum=sum+j;    /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
           /* if (j<10) printf("j=%d num=%d ",j,i); */    /*for(i=1;i<imx;i++) 
           }      printf(" %d\n",s[4][i]);
         }    */
         else{    cov[1]=1.;
           j= rint( (agev[mw[mi+1][i]][i]*12 - agev[mw[mi][i]][i]*12));  
           k=k+1;    for(k=1; k<=nlstate; k++) ll[k]=0.;
           if (j >= jmax) jmax=j;  
           else if (j <= jmin)jmin=j;    if(mle==1){
           /*   if (j<10) printf("j=%d jmin=%d num=%d ",j,jmin,i); */      for (i=1,ipmx=0, sw=0.; i<=imx; i++){
           sum=sum+j;        for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];
         }        for(mi=1; mi<= wav[i]-1; mi++){
         jk= j/stepm;          for (ii=1;ii<=nlstate+ndeath;ii++)
         jl= j -jk*stepm;            for (j=1;j<=nlstate+ndeath;j++){
         ju= j -(jk+1)*stepm;              oldm[ii][j]=(ii==j ? 1.0 : 0.0);
         if(jl <= -ju)              savm[ii][j]=(ii==j ? 1.0 : 0.0);
           dh[mi][i]=jk;            }
         else          for(d=0; d<dh[mi][i]; d++){
           dh[mi][i]=jk+1;            newm=savm;
         if(dh[mi][i]==0)            cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;
           dh[mi][i]=1; /* At least one step */            for (kk=1; kk<=cptcovage;kk++) {
       }              cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
     }            }
   }            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
   jmean=sum/k;                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
   printf("Delay (in months) between two waves Min=%d Max=%d Mean=%f\n\n ",jmin, jmax,jmean);            savm=oldm;
  }            oldm=newm;
 /*********** Tricode ****************************/          } /* end mult */
 void tricode(int *Tvar, int **nbcode, int imx)        
 {          /*lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);*/ /* Original formula */
   int Ndum[20],ij=1, k, j, i;          /* But now since version 0.9 we anticipate for bias at large stepm.
   int cptcode=0;           * If stepm is larger than one month (smallest stepm) and if the exact delay 
   cptcoveff=0;           * (in months) between two waves is not a multiple of stepm, we rounded to 
             * the nearest (and in case of equal distance, to the lowest) interval but now
   for (k=0; k<19; k++) Ndum[k]=0;           * we keep into memory the bias bh[mi][i] and also the previous matrix product
   for (k=1; k<=7; k++) ncodemax[k]=0;           * (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 (j=1; j<=(cptcovn+2*cptcovprod); j++) {           * from savm to out if bh is negative or even beyond if bh is positive. bh varies
     for (i=1; i<=imx; i++) {           * -stepm/2 to stepm/2 .
       ij=(int)(covar[Tvar[j]][i]);           * For stepm=1 the results are the same as for previous versions of Imach.
       Ndum[ij]++;           * For stepm > 1 the results are less biased than in previous versions. 
       /*printf("i=%d ij=%d Ndum[ij]=%d imx=%d",i,ij,Ndum[ij],imx);*/           */
       if (ij > cptcode) cptcode=ij;          s1=s[mw[mi][i]][i];
     }          s2=s[mw[mi+1][i]][i];
           bbh=(double)bh[mi][i]/(double)stepm; 
     for (i=0; i<=cptcode; i++) {          /* bias bh is positive if real duration
       if(Ndum[i]!=0) ncodemax[j]++;           * is higher than the multiple of stepm and negative otherwise.
     }           */
     ij=1;          /* 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 
     for (i=1; i<=ncodemax[j]; i++) {               then the contribution to the likelihood is the probability to 
       for (k=0; k<=19; k++) {               die between last step unit time and current  step unit time, 
         if (Ndum[k] != 0) {               which is also equal to probability to die before dh 
           nbcode[Tvar[j]][ij]=k;               minus probability to die before dh-stepm . 
           ij++;               In version up to 0.92 likelihood was computed
         }          as if date of death was unknown. Death was treated as any other
         if (ij > ncodemax[j]) break;          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
     }          to consider that at each interview the state was recorded
   }            (healthy, disable or death) and IMaCh was corrected; but when we
           introduced the exact date of death then we should have modified
  for (k=0; k<19; k++) Ndum[k]=0;          the contribution of an exact death to the likelihood. This new
           contribution is smaller and very dependent of the step unit
  for (i=1; i<=ncovmodel-2; i++) {          stepm. It is no more the probability to die between last interview
       ij=Tvar[i];          and month of death but the probability to survive from last
       Ndum[ij]++;          interview up to one month before death multiplied by the
     }          probability to die within a month. Thanks to Chris
           Jackson for correcting this bug.  Former versions increased
  ij=1;          mortality artificially. The bad side is that we add another loop
  for (i=1; i<=10; i++) {          which slows down the processing. The difference can be up to 10%
    if((Ndum[i]!=0) && (i<=ncov)){          lower mortality.
      Tvaraff[ij]=i;            */
      ij++;            lli=log(out[s1][s2] - savm[s1][s2]);
    }  
  }  
            } else if  (s2==-2) {
     cptcoveff=ij-1;            for (j=1,survp=0. ; j<=nlstate; j++) 
 }              survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
             /*survp += out[s1][j]; */
 /*********** Health Expectancies ****************/            lli= log(survp);
           }
 void evsij(char fileres[], double ***eij, double x[], int nlstate, int stepm, int bage, int fage, double **oldm, double **savm, int ij)          
 {          else if  (s2==-4) { 
   /* Health expectancies */            for (j=3,survp=0. ; j<=nlstate; j++)  
   int i, j, nhstepm, hstepm, h;              survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
   double age, agelim,hf;            lli= log(survp); 
   double ***p3mat;          } 
    
   fprintf(ficreseij,"# Health expectancies\n");          else if  (s2==-5) { 
   fprintf(ficreseij,"# Age");            for (j=1,survp=0. ; j<=2; j++)  
   for(i=1; i<=nlstate;i++)              survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
     for(j=1; j<=nlstate;j++)            lli= log(survp); 
       fprintf(ficreseij," %1d-%1d",i,j);          } 
   fprintf(ficreseij,"\n");          
           else{
   hstepm=1*YEARM; /*  Every j years of age (in month) */            lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
   hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */            /*  lli= (savm[s1][s2]>(double)1.e-8 ?log((1.+bbh)*out[s1][s2]- bbh*(savm[s1][s2])):log((1.+bbh)*out[s1][s2]));*/ /* linear interpolation */
           } 
   agelim=AGESUP;          /*lli=(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]);*/
   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */          /*if(lli ==000.0)*/
     /* nhstepm age range expressed in number of stepm */          /*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); */
     nhstepm=(int) rint((agelim-age)*YEARM/stepm);          ipmx +=1;
     /* Typically if 20 years = 20*12/6=40 stepm */          sw += weight[i];
     if (stepm >= YEARM) hstepm=1;          ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
     nhstepm = nhstepm/hstepm;/* Expressed in hstepm, typically 40/4=10 */        } /* end of wave */
     p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);      } /* end of individual */
     /* Computed by stepm unit matrices, product of hstepm matrices, stored    }  else if(mle==2){
        in an array of nhstepm length: nhstepm=10, hstepm=4, stepm=6 months */      for (i=1,ipmx=0, sw=0.; i<=imx; i++){
     hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm, savm, ij);          for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];
         for(mi=1; mi<= wav[i]-1; mi++){
           for (ii=1;ii<=nlstate+ndeath;ii++)
     for(i=1; i<=nlstate;i++)            for (j=1;j<=nlstate+ndeath;j++){
       for(j=1; j<=nlstate;j++)              oldm[ii][j]=(ii==j ? 1.0 : 0.0);
         for (h=0, eij[i][j][(int)age]=0; h<=nhstepm; h++){              savm[ii][j]=(ii==j ? 1.0 : 0.0);
           eij[i][j][(int)age] +=p3mat[i][j][h];            }
         }          for(d=0; d<=dh[mi][i]; d++){
                newm=savm;
     hf=1;            cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;
     if (stepm >= YEARM) hf=stepm/YEARM;            for (kk=1; kk<=cptcovage;kk++) {
     fprintf(ficreseij,"%.0f",age );              cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
     for(i=1; i<=nlstate;i++)            }
       for(j=1; j<=nlstate;j++){            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
         fprintf(ficreseij," %.4f", hf*eij[i][j][(int)age]);                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
       }            savm=oldm;
     fprintf(ficreseij,"\n");            oldm=newm;
     free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);          } /* end mult */
   }        
 }          s1=s[mw[mi][i]][i];
           s2=s[mw[mi+1][i]][i];
 /************ Variance ******************/          bbh=(double)bh[mi][i]/(double)stepm; 
 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)          lli= (savm[s1][s2]>(double)1.e-8 ?log((1.+bbh)*out[s1][s2]- bbh*(savm[s1][s2])):log((1.+bbh)*out[s1][s2])); /* linear interpolation */
 {          ipmx +=1;
   /* Variance of health expectancies */          sw += weight[i];
   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);*/          ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
   double **newm;        } /* end of wave */
   double **dnewm,**doldm;      } /* end of individual */
   int i, j, nhstepm, hstepm, h;    }  else if(mle==3){  /* exponential inter-extrapolation */
   int k, cptcode;      for (i=1,ipmx=0, sw=0.; i<=imx; i++){
   double *xp;        for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];
   double **gp, **gm;        for(mi=1; mi<= wav[i]-1; mi++){
   double ***gradg, ***trgradg;          for (ii=1;ii<=nlstate+ndeath;ii++)
   double ***p3mat;            for (j=1;j<=nlstate+ndeath;j++){
   double age,agelim;              oldm[ii][j]=(ii==j ? 1.0 : 0.0);
   int theta;              savm[ii][j]=(ii==j ? 1.0 : 0.0);
             }
    fprintf(ficresvij,"# Covariances of life expectancies\n");          for(d=0; d<dh[mi][i]; d++){
   fprintf(ficresvij,"# Age");            newm=savm;
   for(i=1; i<=nlstate;i++)            cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;
     for(j=1; j<=nlstate;j++)            for (kk=1; kk<=cptcovage;kk++) {
       fprintf(ficresvij," Cov(e%1d, e%1d)",i,j);              cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
   fprintf(ficresvij,"\n");            }
             out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
   xp=vector(1,npar);                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
   dnewm=matrix(1,nlstate,1,npar);            savm=oldm;
   doldm=matrix(1,nlstate,1,nlstate);            oldm=newm;
            } /* end mult */
   hstepm=1*YEARM; /* Every year of age */        
   hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */          s1=s[mw[mi][i]][i];
   agelim = AGESUP;          s2=s[mw[mi+1][i]][i];
   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */          bbh=(double)bh[mi][i]/(double)stepm; 
     nhstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */          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 */
     if (stepm >= YEARM) hstepm=1;          ipmx +=1;
     nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */          sw += weight[i];
     p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);          ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
     gradg=ma3x(0,nhstepm,1,npar,1,nlstate);        } /* end of wave */
     gp=matrix(0,nhstepm,1,nlstate);      } /* end of individual */
     gm=matrix(0,nhstepm,1,nlstate);    }else if (mle==4){  /* ml=4 no inter-extrapolation */
       for (i=1,ipmx=0, sw=0.; i<=imx; i++){
     for(theta=1; theta <=npar; theta++){        for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];
       for(i=1; i<=npar; i++){ /* Computes gradient */        for(mi=1; mi<= wav[i]-1; mi++){
         xp[i] = x[i] + (i==theta ?delti[theta]:0);          for (ii=1;ii<=nlstate+ndeath;ii++)
       }            for (j=1;j<=nlstate+ndeath;j++){
       hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);                oldm[ii][j]=(ii==j ? 1.0 : 0.0);
       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);              savm[ii][j]=(ii==j ? 1.0 : 0.0);
             }
       if (popbased==1) {          for(d=0; d<dh[mi][i]; d++){
         for(i=1; i<=nlstate;i++)            newm=savm;
           prlim[i][i]=probs[(int)age][i][ij];            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(j=1; j<= nlstate; j++){            }
         for(h=0; h<=nhstepm; h++){          
           for(i=1, gp[h][j]=0.;i<=nlstate;i++)            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
             gp[h][j] += prlim[i][i]*p3mat[i][j][h];                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
         }            savm=oldm;
       }            oldm=newm;
              } /* end mult */
       for(i=1; i<=npar; i++) /* Computes gradient */        
         xp[i] = x[i] - (i==theta ?delti[theta]:0);          s1=s[mw[mi][i]][i];
       hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);            s2=s[mw[mi+1][i]][i];
       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);          if( s2 > nlstate){ 
             lli=log(out[s1][s2] - savm[s1][s2]);
       if (popbased==1) {          }else{
         for(i=1; i<=nlstate;i++)            lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
           prlim[i][i]=probs[(int)age][i][ij];          }
       }          ipmx +=1;
           sw += weight[i];
       for(j=1; j<= nlstate; j++){          ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
         for(h=0; h<=nhstepm; h++){  /*      printf("i=%6d s1=%1d s2=%1d mi=%1d mw=%1d dh=%3d prob=%10.6f w=%6.4f out=%10.6f sav=%10.6f\n",i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],out[s1][s2],savm[s1][s2]); */
           for(i=1, gm[h][j]=0.;i<=nlstate;i++)        } /* end of wave */
             gm[h][j] += prlim[i][i]*p3mat[i][j][h];      } /* end of individual */
         }    }else{  /* ml=5 no inter-extrapolation no jackson =0.8a */
       }      for (i=1,ipmx=0, sw=0.; i<=imx; i++){
         for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];
       for(j=1; j<= nlstate; j++)        for(mi=1; mi<= wav[i]-1; mi++){
         for(h=0; h<=nhstepm; h++){          for (ii=1;ii<=nlstate+ndeath;ii++)
           gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta];            for (j=1;j<=nlstate+ndeath;j++){
         }              oldm[ii][j]=(ii==j ? 1.0 : 0.0);
     } /* End theta */              savm[ii][j]=(ii==j ? 1.0 : 0.0);
             }
     trgradg =ma3x(0,nhstepm,1,nlstate,1,npar);          for(d=0; d<dh[mi][i]; d++){
             newm=savm;
     for(h=0; h<=nhstepm; h++)            cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;
       for(j=1; j<=nlstate;j++)            for (kk=1; kk<=cptcovage;kk++) {
         for(theta=1; theta <=npar; theta++)              cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
           trgradg[h][j][theta]=gradg[h][theta][j];            }
           
     for(i=1;i<=nlstate;i++)            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
       for(j=1;j<=nlstate;j++)                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
         vareij[i][j][(int)age] =0.;            savm=oldm;
     for(h=0;h<=nhstepm;h++){            oldm=newm;
       for(k=0;k<=nhstepm;k++){          } /* end mult */
         matprod2(dnewm,trgradg[h],1,nlstate,1,npar,1,npar,matcov);        
         matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg[k]);          s1=s[mw[mi][i]][i];
         for(i=1;i<=nlstate;i++)          s2=s[mw[mi+1][i]][i];
           for(j=1;j<=nlstate;j++)          lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
             vareij[i][j][(int)age] += doldm[i][j];          ipmx +=1;
       }          sw += weight[i];
     }          ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
     h=1;          /*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 (stepm >= YEARM) h=stepm/YEARM;        } /* end of wave */
     fprintf(ficresvij,"%.0f ",age );      } /* end of individual */
     for(i=1; i<=nlstate;i++)    } /* End of if */
       for(j=1; j<=nlstate;j++){    for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
         fprintf(ficresvij," %.4f", h*vareij[i][j][(int)age]);    /* 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 */
     fprintf(ficresvij,"\n");    return -l;
     free_matrix(gp,0,nhstepm,1,nlstate);  }
     free_matrix(gm,0,nhstepm,1,nlstate);  
     free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate);  /*************** log-likelihood *************/
     free_ma3x(trgradg,0,nhstepm,1,nlstate,1,npar);  double funcone( double *x)
     free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);  {
   } /* End age */    /* Same as likeli but slower because of a lot of printf and if */
      int i, ii, j, k, mi, d, kk;
   free_vector(xp,1,npar);    double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1];
   free_matrix(doldm,1,nlstate,1,npar);    double **out;
   free_matrix(dnewm,1,nlstate,1,nlstate);    double lli; /* Individual log likelihood */
     double llt;
 }    int s1, s2;
     double bbh, survp;
 /************ Variance of prevlim ******************/    /*extern weight */
 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)    /* We are differentiating ll according to initial status */
 {    /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
   /* Variance of prevalence limit */    /*for(i=1;i<imx;i++) 
   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);*/      printf(" %d\n",s[4][i]);
   double **newm;    */
   double **dnewm,**doldm;    cov[1]=1.;
   int i, j, nhstepm, hstepm;  
   int k, cptcode;    for(k=1; k<=nlstate; k++) ll[k]=0.;
   double *xp;  
   double *gp, *gm;    for (i=1,ipmx=0, sw=0.; i<=imx; i++){
   double **gradg, **trgradg;      for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];
   double age,agelim;      for(mi=1; mi<= wav[i]-1; mi++){
   int theta;        for (ii=1;ii<=nlstate+ndeath;ii++)
              for (j=1;j<=nlstate+ndeath;j++){
   fprintf(ficresvpl,"# Standard deviation of prevalences limit\n");            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
   fprintf(ficresvpl,"# Age");            savm[ii][j]=(ii==j ? 1.0 : 0.0);
   for(i=1; i<=nlstate;i++)          }
       fprintf(ficresvpl," %1d-%1d",i,i);        for(d=0; d<dh[mi][i]; d++){
   fprintf(ficresvpl,"\n");          newm=savm;
           cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;
   xp=vector(1,npar);          for (kk=1; kk<=cptcovage;kk++) {
   dnewm=matrix(1,nlstate,1,npar);            cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
   doldm=matrix(1,nlstate,1,nlstate);          }
            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
   hstepm=1*YEARM; /* Every year of age */                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
   hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */          savm=oldm;
   agelim = AGESUP;          oldm=newm;
   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */        } /* end mult */
     nhstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */        
     if (stepm >= YEARM) hstepm=1;        s1=s[mw[mi][i]][i];
     nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */        s2=s[mw[mi+1][i]][i];
     gradg=matrix(1,npar,1,nlstate);        bbh=(double)bh[mi][i]/(double)stepm; 
     gp=vector(1,nlstate);        /* bias is positive if real duration
     gm=vector(1,nlstate);         * is higher than the multiple of stepm and negative otherwise.
          */
     for(theta=1; theta <=npar; theta++){        if( s2 > nlstate && (mle <5) ){  /* Jackson */
       for(i=1; i<=npar; i++){ /* Computes gradient */          lli=log(out[s1][s2] - savm[s1][s2]);
         xp[i] = x[i] + (i==theta ?delti[theta]:0);        } else if  (s2==-2) {
       }          for (j=1,survp=0. ; j<=nlstate; j++) 
       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);            survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
       for(i=1;i<=nlstate;i++)          lli= log(survp);
         gp[i] = prlim[i][i];        }else if (mle==1){
              lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
       for(i=1; i<=npar; i++) /* Computes gradient */        } else if(mle==2){
         xp[i] = x[i] - (i==theta ?delti[theta]: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 */
       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);        } else if(mle==3){  /* exponential inter-extrapolation */
       for(i=1;i<=nlstate;i++)          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 */
         gm[i] = prlim[i][i];        } else if (mle==4){  /* mle=4 no inter-extrapolation */
           lli=log(out[s1][s2]); /* Original formula */
       for(i=1;i<=nlstate;i++)        } else{  /* mle=0 back to 1 */
         gradg[theta][i]= (gp[i]-gm[i])/2./delti[theta];          lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
     } /* End theta */          /*lli=log(out[s1][s2]); */ /* Original formula */
         } /* End of if */
     trgradg =matrix(1,nlstate,1,npar);        ipmx +=1;
         sw += weight[i];
     for(j=1; j<=nlstate;j++)        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
       for(theta=1; theta <=npar; theta++)        /*printf("i=%6d s1=%1d s2=%1d mi=%1d mw=%1d dh=%3d prob=%10.6f w=%6.4f out=%10.6f sav=%10.6f\n",i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],out[s1][s2],savm[s1][s2]); */
         trgradg[j][theta]=gradg[theta][j];        if(globpr){
           fprintf(ficresilk,"%9d %6d %2d %2d %1d %1d %3d %11.6f %8.4f\
     for(i=1;i<=nlstate;i++)   %11.6f %11.6f %11.6f ", \
       varpl[i][(int)age] =0.;                  num[i],i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],
     matprod2(dnewm,trgradg,1,nlstate,1,npar,1,npar,matcov);                  2*weight[i]*lli,out[s1][s2],savm[s1][s2]);
     matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg);          for(k=1,llt=0.,l=0.; k<=nlstate; k++){
     for(i=1;i<=nlstate;i++)            llt +=ll[k]*gipmx/gsw;
       varpl[i][(int)age] = doldm[i][i]; /* Covariances are useless */            fprintf(ficresilk," %10.6f",-ll[k]*gipmx/gsw);
           }
     fprintf(ficresvpl,"%.0f ",age );          fprintf(ficresilk," %10.6f\n", -llt);
     for(i=1; i<=nlstate;i++)        }
       fprintf(ficresvpl," %.5f (%.5f)",prlim[i][i],sqrt(varpl[i][(int)age]));      } /* end of wave */
     fprintf(ficresvpl,"\n");    } /* end of individual */
     free_vector(gp,1,nlstate);    for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
     free_vector(gm,1,nlstate);    /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
     free_matrix(gradg,1,npar,1,nlstate);    l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
     free_matrix(trgradg,1,nlstate,1,npar);    if(globpr==0){ /* First time we count the contributions and weights */
   } /* End age */      gipmx=ipmx;
       gsw=sw;
   free_vector(xp,1,npar);    }
   free_matrix(doldm,1,nlstate,1,npar);    return -l;
   free_matrix(dnewm,1,nlstate,1,nlstate);  }
   
 }  
   /*************** function likelione ***********/
 /************ Variance of one-step probabilities  ******************/  void likelione(FILE *ficres,double p[], int npar, int nlstate, int *globpri, long *ipmx, double *sw, double *fretone, double (*funcone)(double []))
 void varprob(char fileres[], double **matcov, double x[], double delti[], int nlstate, double bage, double fage, int ij)  {
 {    /* This routine should help understanding what is done with 
   int i, j;       the selection of individuals/waves and
   int k=0, cptcode;       to check the exact contribution to the likelihood.
   double **dnewm,**doldm;       Plotting could be done.
   double *xp;     */
   double *gp, *gm;    int k;
   double **gradg, **trgradg;  
   double age,agelim, cov[NCOVMAX];    if(*globpri !=0){ /* Just counts and sums, no printings */
   int theta;      strcpy(fileresilk,"ilk"); 
   char fileresprob[FILENAMELENGTH];      strcat(fileresilk,fileres);
       if((ficresilk=fopen(fileresilk,"w"))==NULL) {
   strcpy(fileresprob,"prob");        printf("Problem with resultfile: %s\n", fileresilk);
   strcat(fileresprob,fileres);        fprintf(ficlog,"Problem with resultfile: %s\n", fileresilk);
   if((ficresprob=fopen(fileresprob,"w"))==NULL) {      }
     printf("Problem with resultfile: %s\n", fileresprob);      fprintf(ficresilk, "#individual(line's_record) s1 s2 wave# effective_wave# number_of_matrices_product pij weight -2ln(pij)*weight 0pij_x 0pij_(x-stepm) cumulating_loglikeli_by_health_state(reweighted=-2ll*weightXnumber_of_contribs/sum_of_weights) and_total\n");
   }      fprintf(ficresilk, "#num_i i s1 s2 mi mw dh likeli weight 2wlli out sav ");
   printf("Computing variance of one-step probabilities: result on file '%s' \n",fileresprob);      /*  i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],2*weight[i]*lli,out[s1][s2],savm[s1][s2]); */
        for(k=1; k<=nlstate; k++) 
         fprintf(ficresilk," -2*gipw/gsw*weight*ll[%d]++",k);
   xp=vector(1,npar);      fprintf(ficresilk," -2*gipw/gsw*weight*ll(total)\n");
   dnewm=matrix(1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);    }
   doldm=matrix(1,(nlstate+ndeath)*(nlstate+ndeath),1,(nlstate+ndeath)*(nlstate+ndeath));  
      *fretone=(*funcone)(p);
   cov[1]=1;    if(*globpri !=0){
   for (age=bage; age<=fage; age ++){      fclose(ficresilk);
     cov[2]=age;      fprintf(fichtm,"\n<br>File of contributions to the likelihood: <a href=\"%s\">%s</a><br>\n",subdirf(fileresilk),subdirf(fileresilk));
     gradg=matrix(1,npar,1,9);      fflush(fichtm); 
     trgradg=matrix(1,9,1,npar);    } 
     gp=vector(1,(nlstate+ndeath)*(nlstate+ndeath));    return;
     gm=vector(1,(nlstate+ndeath)*(nlstate+ndeath));  }
      
     for(theta=1; theta <=npar; theta++){  
       for(i=1; i<=npar; i++)  /*********** Maximum Likelihood Estimation ***************/
         xp[i] = x[i] + (i==theta ?delti[theta]:0);  
        void mlikeli(FILE *ficres,double p[], int npar, int ncovmodel, int nlstate, double ftol, double (*func)(double []))
       pmij(pmmij,cov,ncovmodel,xp,nlstate);  {
        int i,j, iter;
       k=0;    double **xi;
       for(i=1; i<= (nlstate+ndeath); i++){    double fret;
         for(j=1; j<=(nlstate+ndeath);j++){    double fretone; /* Only one call to likelihood */
            k=k+1;    /*  char filerespow[FILENAMELENGTH];*/
           gp[k]=pmmij[i][j];    xi=matrix(1,npar,1,npar);
         }    for (i=1;i<=npar;i++)
       }      for (j=1;j<=npar;j++)
         xi[i][j]=(i==j ? 1.0 : 0.0);
       for(i=1; i<=npar; i++)    printf("Powell\n");  fprintf(ficlog,"Powell\n");
         xp[i] = x[i] - (i==theta ?delti[theta]:0);    strcpy(filerespow,"pow"); 
        strcat(filerespow,fileres);
     if((ficrespow=fopen(filerespow,"w"))==NULL) {
       pmij(pmmij,cov,ncovmodel,xp,nlstate);      printf("Problem with resultfile: %s\n", filerespow);
       k=0;      fprintf(ficlog,"Problem with resultfile: %s\n", filerespow);
       for(i=1; i<=(nlstate+ndeath); i++){    }
         for(j=1; j<=(nlstate+ndeath);j++){    fprintf(ficrespow,"# Powell\n# iter -2*LL");
           k=k+1;    for (i=1;i<=nlstate;i++)
           gm[k]=pmmij[i][j];      for(j=1;j<=nlstate+ndeath;j++)
         }        if(j!=i)fprintf(ficrespow," p%1d%1d",i,j);
       }    fprintf(ficrespow,"\n");
        
        for(i=1; i<= (nlstate+ndeath)*(nlstate+ndeath); i++)    powell(p,xi,npar,ftol,&iter,&fret,func);
            gradg[theta][i]=(gp[i]-gm[i])/2./delti[theta];    
     }    free_matrix(xi,1,npar,1,npar);
     fclose(ficrespow);
      for(j=1; j<=(nlstate+ndeath)*(nlstate+ndeath);j++)    printf("\n#Number of iterations = %d, -2 Log likelihood = %.12f\n",iter,func(p));
       for(theta=1; theta <=npar; theta++)    fprintf(ficlog,"\n#Number of iterations = %d, -2 Log likelihood = %.12f \n",iter,func(p));
       trgradg[j][theta]=gradg[theta][j];    fprintf(ficres,"#Number of iterations = %d, -2 Log likelihood = %.12f \n",iter,func(p));
    
      matprod2(dnewm,trgradg,1,9,1,npar,1,npar,matcov);  }
      matprod2(doldm,dnewm,1,9,1,npar,1,9,gradg);  
   /**** Computes Hessian and covariance matrix ***/
      pmij(pmmij,cov,ncovmodel,x,nlstate);  void hesscov(double **matcov, double p[], int npar, double delti[], double ftolhess, double (*func)(double []))
   {
      k=0;    double  **a,**y,*x,pd;
      for(i=1; i<=(nlstate+ndeath); i++){    double **hess;
        for(j=1; j<=(nlstate+ndeath);j++){    int i, j,jk;
          k=k+1;    int *indx;
          gm[k]=pmmij[i][j];  
         }    double hessii(double p[], double delta, int theta, double delti[],double (*func)(double []),int npar);
      }    double hessij(double p[], double delti[], int i, int j,double (*func)(double []),int npar);
          void lubksb(double **a, int npar, int *indx, double b[]) ;
      /*printf("\n%d ",(int)age);    void ludcmp(double **a, int npar, int *indx, double *d) ;
      for (i=1; i<=(nlstate+ndeath)*(nlstate+ndeath-1);i++){    double gompertz(double p[]);
            hess=matrix(1,npar,1,npar);
   
        printf("%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));    printf("\nCalculation of the hessian matrix. Wait...\n");
      }*/    fprintf(ficlog,"\nCalculation of the hessian matrix. Wait...\n");
     for (i=1;i<=npar;i++){
   fprintf(ficresprob,"\n%d ",(int)age);      printf("%d",i);fflush(stdout);
       fprintf(ficlog,"%d",i);fflush(ficlog);
   for (i=1; i<=(nlstate+ndeath)*(nlstate+ndeath-1);i++){     
     if (i== 2) fprintf(ficresprob,"%.3e %.3e ",gm[i],doldm[i][i]);       hess[i][i]=hessii(p,ftolhess,i,delti,func,npar);
 if (i== 4) fprintf(ficresprob,"%.3e %.3e ",gm[i],doldm[i][i]);      
   }      /*  printf(" %f ",p[i]);
           printf(" %lf %lf %lf",hess[i][i],ftolhess,delti[i]);*/
     free_vector(gp,1,(nlstate+ndeath)*(nlstate+ndeath));    }
     free_vector(gm,1,(nlstate+ndeath)*(nlstate+ndeath));    
     free_matrix(trgradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);    for (i=1;i<=npar;i++) {
     free_matrix(gradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);      for (j=1;j<=npar;j++)  {
 }        if (j>i) { 
  free_vector(xp,1,npar);          printf(".%d%d",i,j);fflush(stdout);
 fclose(ficresprob);          fprintf(ficlog,".%d%d",i,j);fflush(ficlog);
  exit(0);          hess[i][j]=hessij(p,delti,i,j,func,npar);
 }          
           hess[j][i]=hess[i][j];    
 /***********************************************/          /*printf(" %lf ",hess[i][j]);*/
 /**************** Main Program *****************/        }
 /***********************************************/      }
     }
 /*int main(int argc, char *argv[])*/    printf("\n");
 int main()    fprintf(ficlog,"\n");
 {  
     printf("\nInverting the hessian to get the covariance matrix. Wait...\n");
   int i,j, k, n=MAXN,iter,m,size,cptcode, cptcod;    fprintf(ficlog,"\nInverting the hessian to get the covariance matrix. Wait...\n");
   double agedeb, agefin,hf;    
   double agemin=1.e20, agemax=-1.e20;    a=matrix(1,npar,1,npar);
     y=matrix(1,npar,1,npar);
   double fret;    x=vector(1,npar);
   double **xi,tmp,delta;    indx=ivector(1,npar);
     for (i=1;i<=npar;i++)
   double dum; /* Dummy variable */      for (j=1;j<=npar;j++) a[i][j]=hess[i][j];
   double ***p3mat;    ludcmp(a,npar,indx,&pd);
   int *indx;  
   char line[MAXLINE], linepar[MAXLINE];    for (j=1;j<=npar;j++) {
   char title[MAXLINE];      for (i=1;i<=npar;i++) x[i]=0;
   char optionfile[FILENAMELENGTH], datafile[FILENAMELENGTH],  filerespl[FILENAMELENGTH], optionfilehtm[FILENAMELENGTH];      x[j]=1;
   char fileres[FILENAMELENGTH], filerespij[FILENAMELENGTH], filereso[FILENAMELENGTH], fileresf[FILENAMELENGTH];      lubksb(a,npar,indx,x);
   char filerest[FILENAMELENGTH];      for (i=1;i<=npar;i++){ 
   char fileregp[FILENAMELENGTH];        matcov[i][j]=x[i];
   char popfile[FILENAMELENGTH];      }
   char path[80],pathc[80],pathcd[80],pathtot[80],model[20];    }
   int firstobs=1, lastobs=10;  
   int sdeb, sfin; /* Status at beginning and end */    printf("\n#Hessian matrix#\n");
   int c,  h , cpt,l;    fprintf(ficlog,"\n#Hessian matrix#\n");
   int ju,jl, mi;    for (i=1;i<=npar;i++) { 
   int i1,j1, k1,k2,k3,jk,aa,bb, stepsize, ij;      for (j=1;j<=npar;j++) { 
   int jnais,jdc,jint4,jint1,jint2,jint3,**outcome,**adl,*tab;        printf("%.3e ",hess[i][j]);
   int mobilav=0, fprev, lprev ,fprevfore=1, lprevfore=1,nforecast,popforecast=0;        fprintf(ficlog,"%.3e ",hess[i][j]);
   int hstepm, nhstepm;      }
   int *popage,boolprev=0;/*boolprev=0 if date and zero if wave*/      printf("\n");
       fprintf(ficlog,"\n");
   double bage, fage, age, agelim, agebase;    }
   double ftolpl=FTOL;  
   double **prlim;    /* Recompute Inverse */
   double *severity;    for (i=1;i<=npar;i++)
   double ***param; /* Matrix of parameters */      for (j=1;j<=npar;j++) a[i][j]=matcov[i][j];
   double  *p;    ludcmp(a,npar,indx,&pd);
   double **matcov; /* Matrix of covariance */  
   double ***delti3; /* Scale */    /*  printf("\n#Hessian matrix recomputed#\n");
   double *delti; /* Scale */  
   double ***eij, ***vareij;    for (j=1;j<=npar;j++) {
   double **varpl; /* Variances of prevalence limits by age */      for (i=1;i<=npar;i++) x[i]=0;
   double *epj, vepp;      x[j]=1;
   double kk1, kk2;      lubksb(a,npar,indx,x);
   double *popeffectif,*popcount;      for (i=1;i<=npar;i++){ 
   double dateprev1, dateprev2;        y[i][j]=x[i];
         printf("%.3e ",y[i][j]);
   char version[80]="Imach version 64b, May 2001, INED-EUROREVES ";        fprintf(ficlog,"%.3e ",y[i][j]);
   char *alph[]={"a","a","b","c","d","e"}, str[4];      }
       printf("\n");
       fprintf(ficlog,"\n");
   char z[1]="c", occ;    }
 #include <sys/time.h>    */
 #include <time.h>  
   char stra[80], strb[80], strc[80], strd[80],stre[80],modelsav[80];    free_matrix(a,1,npar,1,npar);
   char strfprev[10], strlprev[10];    free_matrix(y,1,npar,1,npar);
   char strfprevfore[10], strlprevfore[10];    free_vector(x,1,npar);
   /* long total_usecs;    free_ivector(indx,1,npar);
   struct timeval start_time, end_time;    free_matrix(hess,1,npar,1,npar);
    
   gettimeofday(&start_time, (struct timezone*)0); */ /* at first time */  
   }
   
   printf("\nIMACH, Version 0.7");  /*************** hessian matrix ****************/
   printf("\nEnter the parameter file name: ");  double hessii(double x[], double delta, int theta, double delti[], double (*func)(double []), int npar)
   {
 #ifdef windows    int i;
   scanf("%s",pathtot);    int l=1, lmax=20;
   getcwd(pathcd, size);    double k1,k2;
   /*cygwin_split_path(pathtot,path,optionfile);    double p2[MAXPARM+1]; /* identical to x */
     printf("pathtot=%s, path=%s, optionfile=%s\n",pathtot,path,optionfile);*/    double res;
   /* cutv(path,optionfile,pathtot,'\\');*/    double delt=0.0001, delts, nkhi=10.,nkhif=1., khi=1.e-4;
     double fx;
 split(pathtot, path,optionfile);    int k=0,kmax=10;
   chdir(path);    double l1;
   replace(pathc,path);  
 #endif    fx=func(x);
 #ifdef unix    for (i=1;i<=npar;i++) p2[i]=x[i];
   scanf("%s",optionfile);    for(l=0 ; l <=lmax; l++){
 #endif      l1=pow(10,l);
       delts=delt;
 /*-------- arguments in the command line --------*/      for(k=1 ; k <kmax; k=k+1){
         delt = delta*(l1*k);
   strcpy(fileres,"r");        p2[theta]=x[theta] +delt;
   strcat(fileres, optionfile);        k1=func(p2)-fx;
         p2[theta]=x[theta]-delt;
   /*---------arguments file --------*/        k2=func(p2)-fx;
         /*res= (k1-2.0*fx+k2)/delt/delt; */
   if((ficpar=fopen(optionfile,"r"))==NULL)    {        res= (k1+k2)/delt/delt/2.; /* Divided by because L and not 2*L */
     printf("Problem with optionfile %s\n",optionfile);        
     goto end;  #ifdef DEBUGHESS
   }        printf("%d %d k1=%.12e k2=%.12e xk1=%.12e xk2=%.12e delt=%.12e res=%.12e l=%d k=%d,fx=%.12e\n",theta,theta,k1,k2,x[theta]+delt,x[theta]-delt,delt,res, l, k,fx);
         fprintf(ficlog,"%d %d k1=%.12e k2=%.12e xk1=%.12e xk2=%.12e delt=%.12e res=%.12e l=%d k=%d,fx=%.12e\n",theta,theta,k1,k2,x[theta]+delt,x[theta]-delt,delt,res, l, k,fx);
   strcpy(filereso,"o");  #endif
   strcat(filereso,fileres);        /*if(fabs(k1-2.0*fx+k2) <1.e-13){ */
   if((ficparo=fopen(filereso,"w"))==NULL) {        if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)){
     printf("Problem with Output resultfile: %s\n", filereso);goto end;          k=kmax;
   }        }
         else if((k1 >khi/nkhif) || (k2 >khi/nkhif)){ /* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. */
   /* Reads comments: lines beginning with '#' */          k=kmax; l=lmax*10.;
   while((c=getc(ficpar))=='#' && c!= EOF){        }
     ungetc(c,ficpar);        else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){ 
     fgets(line, MAXLINE, ficpar);          delts=delt;
     puts(line);        }
     fputs(line,ficparo);      }
   }    }
   ungetc(c,ficpar);    delti[theta]=delts;
     return res; 
   fscanf(ficpar,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%lf stepm=%d ncov=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\nmodel=%s\n",title, datafile, &lastobs, &firstpass,&lastpass,&ftol, &stepm, &ncov, &nlstate,&ndeath, &maxwav, &mle, &weightopt,model);    
   printf("title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncov=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\nmodel=%s\n", title, datafile, lastobs, firstpass,lastpass,ftol, stepm, ncov, nlstate,ndeath, maxwav, mle, weightopt,model);  }
   fprintf(ficparo,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncov=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\nmodel=%s\n", title, datafile, lastobs, firstpass,lastpass,ftol,stepm,ncov,nlstate,ndeath,maxwav, mle, weightopt,model);  
 while((c=getc(ficpar))=='#' && c!= EOF){  double hessij( double x[], double delti[], int thetai,int thetaj,double (*func)(double []),int npar)
     ungetc(c,ficpar);  {
     fgets(line, MAXLINE, ficpar);    int i;
     puts(line);    int l=1, l1, lmax=20;
     fputs(line,ficparo);    double k1,k2,k3,k4,res,fx;
   }    double p2[MAXPARM+1];
   ungetc(c,ficpar);    int k;
    
   fscanf(ficpar,"fprevalence=%s lprevalence=%s pop_based=%d\n",strfprev,strlprev,&popbased);    fx=func(x);
   fprintf(ficparo,"fprevalence=%s lprevalence=%s pop_based=%d\n",strfprev,strlprev,popbased);    for (k=1; k<=2; k++) {
        for (i=1;i<=npar;i++) p2[i]=x[i];
   /* printf("%s %s",strfprev,strlprev);      p2[thetai]=x[thetai]+delti[thetai]/k;
      exit(0);*/      p2[thetaj]=x[thetaj]+delti[thetaj]/k;
  while((c=getc(ficpar))=='#' && c!= EOF){      k1=func(p2)-fx;
     ungetc(c,ficpar);    
     fgets(line, MAXLINE, ficpar);      p2[thetai]=x[thetai]+delti[thetai]/k;
     puts(line);      p2[thetaj]=x[thetaj]-delti[thetaj]/k;
     fputs(line,ficparo);      k2=func(p2)-fx;
   }    
   ungetc(c,ficpar);      p2[thetai]=x[thetai]-delti[thetai]/k;
        p2[thetaj]=x[thetaj]+delti[thetaj]/k;
   fscanf(ficpar,"fprevalence=%s lprevalence=%s nforecast=%d mob_average=%d\n",strfprevfore,strlprevfore,&nforecast,&mobilav);      k3=func(p2)-fx;
   fprintf(ficparo,"fprevalence=%s lprevalence=%s nforecast=%d mob_average=%d\n",strfprevfore,strlprevfore,nforecast,mobilav);    
            p2[thetai]=x[thetai]-delti[thetai]/k;
        p2[thetaj]=x[thetaj]-delti[thetaj]/k;
 while((c=getc(ficpar))=='#' && c!= EOF){      k4=func(p2)-fx;
     ungetc(c,ficpar);      res=(k1-k2-k3+k4)/4.0/delti[thetai]*k/delti[thetaj]*k/2.; /* Because of L not 2*L */
     fgets(line, MAXLINE, ficpar);  #ifdef DEBUG
     puts(line);      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);
     fputs(line,ficparo);      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
   ungetc(c,ficpar);    }
      return res;
   fscanf(ficpar,"popforecast=%d popfile=%s\n",&popforecast,popfile);  }
    
   covar=matrix(0,NCOVMAX,1,n);  /************** Inverse of matrix **************/
   cptcovn=0;  void ludcmp(double **a, int n, int *indx, double *d) 
   if (strlen(model)>1) cptcovn=nbocc(model,'+')+1;  { 
     int i,imax,j,k; 
   ncovmodel=2+cptcovn;    double big,dum,sum,temp; 
   nvar=ncovmodel-1; /* Suppressing age as a basic covariate */    double *vv; 
     
   /* Read guess parameters */    vv=vector(1,n); 
   /* Reads comments: lines beginning with '#' */    *d=1.0; 
   while((c=getc(ficpar))=='#' && c!= EOF){    for (i=1;i<=n;i++) { 
     ungetc(c,ficpar);      big=0.0; 
     fgets(line, MAXLINE, ficpar);      for (j=1;j<=n;j++) 
     puts(line);        if ((temp=fabs(a[i][j])) > big) big=temp; 
     fputs(line,ficparo);      if (big == 0.0) nrerror("Singular matrix in routine ludcmp"); 
   }      vv[i]=1.0/big; 
   ungetc(c,ficpar);    } 
      for (j=1;j<=n;j++) { 
   param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);      for (i=1;i<j;i++) { 
     for(i=1; i <=nlstate; i++)        sum=a[i][j]; 
     for(j=1; j <=nlstate+ndeath-1; j++){        for (k=1;k<i;k++) sum -= a[i][k]*a[k][j]; 
       fscanf(ficpar,"%1d%1d",&i1,&j1);        a[i][j]=sum; 
       fprintf(ficparo,"%1d%1d",i1,j1);      } 
       printf("%1d%1d",i,j);      big=0.0; 
       for(k=1; k<=ncovmodel;k++){      for (i=j;i<=n;i++) { 
         fscanf(ficpar," %lf",&param[i][j][k]);        sum=a[i][j]; 
         printf(" %lf",param[i][j][k]);        for (k=1;k<j;k++) 
         fprintf(ficparo," %lf",param[i][j][k]);          sum -= a[i][k]*a[k][j]; 
       }        a[i][j]=sum; 
       fscanf(ficpar,"\n");        if ( (dum=vv[i]*fabs(sum)) >= big) { 
       printf("\n");          big=dum; 
       fprintf(ficparo,"\n");          imax=i; 
     }        } 
        } 
     npar= (nlstate+ndeath-1)*nlstate*ncovmodel;      if (j != imax) { 
         for (k=1;k<=n;k++) { 
   p=param[1][1];          dum=a[imax][k]; 
            a[imax][k]=a[j][k]; 
   /* Reads comments: lines beginning with '#' */          a[j][k]=dum; 
   while((c=getc(ficpar))=='#' && c!= EOF){        } 
     ungetc(c,ficpar);        *d = -(*d); 
     fgets(line, MAXLINE, ficpar);        vv[imax]=vv[j]; 
     puts(line);      } 
     fputs(line,ficparo);      indx[j]=imax; 
   }      if (a[j][j] == 0.0) a[j][j]=TINY; 
   ungetc(c,ficpar);      if (j != n) { 
         dum=1.0/(a[j][j]); 
   delti3= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);        for (i=j+1;i<=n;i++) a[i][j] *= dum; 
   delti=vector(1,npar); /* Scale of each paramater (output from hesscov) */      } 
   for(i=1; i <=nlstate; i++){    } 
     for(j=1; j <=nlstate+ndeath-1; j++){    free_vector(vv,1,n);  /* Doesn't work */
       fscanf(ficpar,"%1d%1d",&i1,&j1);  ;
       printf("%1d%1d",i,j);  } 
       fprintf(ficparo,"%1d%1d",i1,j1);  
       for(k=1; k<=ncovmodel;k++){  void lubksb(double **a, int n, int *indx, double b[]) 
         fscanf(ficpar,"%le",&delti3[i][j][k]);  { 
         printf(" %le",delti3[i][j][k]);    int i,ii=0,ip,j; 
         fprintf(ficparo," %le",delti3[i][j][k]);    double sum; 
       }   
       fscanf(ficpar,"\n");    for (i=1;i<=n;i++) { 
       printf("\n");      ip=indx[i]; 
       fprintf(ficparo,"\n");      sum=b[ip]; 
     }      b[ip]=b[i]; 
   }      if (ii) 
   delti=delti3[1][1];        for (j=ii;j<=i-1;j++) sum -= a[i][j]*b[j]; 
        else if (sum) ii=i; 
   /* Reads comments: lines beginning with '#' */      b[i]=sum; 
   while((c=getc(ficpar))=='#' && c!= EOF){    } 
     ungetc(c,ficpar);    for (i=n;i>=1;i--) { 
     fgets(line, MAXLINE, ficpar);      sum=b[i]; 
     puts(line);      for (j=i+1;j<=n;j++) sum -= a[i][j]*b[j]; 
     fputs(line,ficparo);      b[i]=sum/a[i][i]; 
   }    } 
   ungetc(c,ficpar);  } 
    
   matcov=matrix(1,npar,1,npar);  void pstamp(FILE *fichier)
   for(i=1; i <=npar; i++){  {
     fscanf(ficpar,"%s",&str);    fprintf(fichier,"# %s.%s\n#%s\n#%s\n# %s", optionfilefiname,optionfilext,version,fullversion,strstart);
     printf("%s",str);  }
     fprintf(ficparo,"%s",str);  
     for(j=1; j <=i; j++){  /************ Frequencies ********************/
       fscanf(ficpar," %le",&matcov[i][j]);  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[])
       printf(" %.5le",matcov[i][j]);  {  /* Some frequencies */
       fprintf(ficparo," %.5le",matcov[i][j]);    
     }    int i, m, jk, k1,i1, j1, bool, z1,j;
     fscanf(ficpar,"\n");    int first;
     printf("\n");    double ***freq; /* Frequencies */
     fprintf(ficparo,"\n");    double *pp, **prop;
   }    double pos,posprop, k2, dateintsum=0,k2cpt=0;
   for(i=1; i <=npar; i++)    char fileresp[FILENAMELENGTH];
     for(j=i+1;j<=npar;j++)    
       matcov[i][j]=matcov[j][i];    pp=vector(1,nlstate);
        prop=matrix(1,nlstate,iagemin,iagemax+3);
   printf("\n");    strcpy(fileresp,"p");
     strcat(fileresp,fileres);
     if((ficresp=fopen(fileresp,"w"))==NULL) {
     /*-------- data file ----------*/      printf("Problem with prevalence resultfile: %s\n", fileresp);
     if((ficres =fopen(fileres,"w"))==NULL) {      fprintf(ficlog,"Problem with prevalence resultfile: %s\n", fileresp);
       printf("Problem with resultfile: %s\n", fileres);goto end;      exit(0);
     }    }
     fprintf(ficres,"#%s\n",version);    freq= ma3x(-5,nlstate+ndeath,-5,nlstate+ndeath,iagemin,iagemax+3);
        j1=0;
     if((fic=fopen(datafile,"r"))==NULL)    {    
       printf("Problem with datafile: %s\n", datafile);goto end;    j=cptcoveff;
     }    if (cptcovn<1) {j=1;ncodemax[1]=1;}
   
     n= lastobs;    first=1;
     severity = vector(1,maxwav);  
     outcome=imatrix(1,maxwav+1,1,n);    for(k1=1; k1<=j;k1++){
     num=ivector(1,n);      for(i1=1; i1<=ncodemax[k1];i1++){
     moisnais=vector(1,n);        j1++;
     annais=vector(1,n);        /*printf("cptcoveff=%d Tvaraff=%d", cptcoveff,Tvaraff[1]);
     moisdc=vector(1,n);          scanf("%d", i);*/
     andc=vector(1,n);        for (i=-5; i<=nlstate+ndeath; i++)  
     agedc=vector(1,n);          for (jk=-5; jk<=nlstate+ndeath; jk++)  
     cod=ivector(1,n);            for(m=iagemin; m <= iagemax+3; m++)
     weight=vector(1,n);              freq[i][jk][m]=0;
     for(i=1;i<=n;i++) weight[i]=1.0; /* Equal weights, 1 by default */  
     mint=matrix(1,maxwav,1,n);      for (i=1; i<=nlstate; i++)  
     anint=matrix(1,maxwav,1,n);        for(m=iagemin; m <= iagemax+3; m++)
     s=imatrix(1,maxwav+1,1,n);          prop[i][m]=0;
     adl=imatrix(1,maxwav+1,1,n);            
     tab=ivector(1,NCOVMAX);        dateintsum=0;
     ncodemax=ivector(1,8);        k2cpt=0;
         for (i=1; i<=imx; i++) {
     i=1;          bool=1;
     while (fgets(line, MAXLINE, fic) != NULL)    {          if  (cptcovn>0) {
       if ((i >= firstobs) && (i <=lastobs)) {            for (z1=1; z1<=cptcoveff; z1++) 
                      if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtab[j1][z1]]) 
         for (j=maxwav;j>=1;j--){                bool=0;
           cutv(stra, strb,line,' '); s[j][i]=atoi(strb);          }
           strcpy(line,stra);          if (bool==1){
           cutv(stra, strb,line,'/'); anint[j][i]=(double)(atoi(strb)); strcpy(line,stra);            for(m=firstpass; m<=lastpass; m++){
           cutv(stra, strb,line,' '); mint[j][i]=(double)(atoi(strb)); strcpy(line,stra);              k2=anint[m][i]+(mint[m][i]/12.);
         }              /*if ((k2>=dateprev1) && (k2<=dateprev2)) {*/
                        if(agev[m][i]==0) agev[m][i]=iagemax+1;
         cutv(stra, strb,line,'/'); andc[i]=(double)(atoi(strb)); strcpy(line,stra);                if(agev[m][i]==1) agev[m][i]=iagemax+2;
         cutv(stra, strb,line,' '); moisdc[i]=(double)(atoi(strb)); strcpy(line,stra);                if (s[m][i]>0 && s[m][i]<=nlstate) prop[s[m][i]][(int)agev[m][i]] += weight[i];
                 if (m<lastpass) {
         cutv(stra, strb,line,'/'); annais[i]=(double)(atoi(strb)); strcpy(line,stra);                  freq[s[m][i]][s[m+1][i]][(int)agev[m][i]] += weight[i];
         cutv(stra, strb,line,' '); moisnais[i]=(double)(atoi(strb)); strcpy(line,stra);                  freq[s[m][i]][s[m+1][i]][iagemax+3] += weight[i];
                 }
         cutv(stra, strb,line,' '); weight[i]=(double)(atoi(strb)); strcpy(line,stra);                
         for (j=ncov;j>=1;j--){                if ((agev[m][i]>1) && (agev[m][i]< (iagemax+3))) {
           cutv(stra, strb,line,' '); covar[j][i]=(double)(atoi(strb)); strcpy(line,stra);                  dateintsum=dateintsum+k2;
         }                  k2cpt++;
         num[i]=atol(stra);                }
                        /*}*/
         /*if((s[2][i]==2) && (s[3][i]==-1)&&(s[4][i]==9)){            }
           printf("%d %.lf %.lf %.lf %.lf/%.lf %.lf/%.lf %.lf/%.lf %d %.lf/%.lf %d %.lf/%.lf %d %.lf/%.lf %d\n",num[i],(covar[1][i]), (covar[2][i]),weight[i], (moisnais[i]), (annais[i]), (moisdc[i]), (andc[i]), (mint[1][i]), (anint[1][i]), (s[1][i]),  (mint[2][i]), (anint[2][i]), (s[2][i]),  (mint[3][i]), (anint[3][i]), (s[3][i]),  (mint[4][i]), (anint[4][i]), (s[4][i])); ij=ij+1;}*/          }
         }
         i=i+1;         
       }        /*      fprintf(ficresp, "#Count between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);*/
     }        pstamp(ficresp);
     /* printf("ii=%d", ij);        if  (cptcovn>0) {
        scanf("%d",i);*/          fprintf(ficresp, "\n#********** Variable "); 
   imx=i-1; /* Number of individuals */          for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresp, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
           fprintf(ficresp, "**********\n#");
   /* for (i=1; i<=imx; i++){        }
     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;          fprintf(ficresp, " Age Prev(%d) N(%d) N",i,i);
     if ((s[3][i]==3) && (s[4][i]==2)) s[4][i]=3;        fprintf(ficresp, "\n");
     }        
     for (i=1; i<=imx; i++) printf("%d %.lf %.lf %.lf %.lf/%.lf %.lf/%.lf %.lf/%.lf %d %.lf/%.lf %d %.lf/%.lf %d %.lf/%.lf %d\n",num[i],(covar[1][i]), (covar[2][i]), (weight[i]), (moisnais[i]), (annais[i]), (moisdc[i]), (andc[i]), (mint[1][i]), (anint[1][i]), (s[1][i]),  (mint[2][i]), (anint[2][i]), (s[2][i]),  (mint[3][i]), (anint[3][i]), (s[3][i]),  (mint[4][i]), (anint[4][i]), (s[4][i]));*/        for(i=iagemin; i <= iagemax+3; i++){
           if(i==iagemax+3){
   /* Calculation of the number of parameter from char model*/            fprintf(ficlog,"Total");
   Tvar=ivector(1,15);          }else{
   Tprod=ivector(1,15);            if(first==1){
   Tvaraff=ivector(1,15);              first=0;
   Tvard=imatrix(1,15,1,2);              printf("See log file for details...\n");
   Tage=ivector(1,15);                  }
                fprintf(ficlog,"Age %d", i);
   if (strlen(model) >1){          }
     j=0, j1=0, k1=1, k2=1;          for(jk=1; jk <=nlstate ; jk++){
     j=nbocc(model,'+');            for(m=-1, pp[jk]=0; m <=nlstate+ndeath ; m++)
     j1=nbocc(model,'*');              pp[jk] += freq[jk][m][i]; 
     cptcovn=j+1;          }
     cptcovprod=j1;          for(jk=1; jk <=nlstate ; jk++){
                for(m=-1, pos=0; m <=0 ; m++)
                  pos += freq[jk][m][i];
     strcpy(modelsav,model);            if(pp[jk]>=1.e-10){
     if ((strcmp(model,"age")==0) || (strcmp(model,"age*age")==0)){              if(first==1){
       printf("Error. Non available option model=%s ",model);                printf(" %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);
       goto end;              }
     }              fprintf(ficlog," %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);
                }else{
     for(i=(j+1); i>=1;i--){              if(first==1)
       cutv(stra,strb,modelsav,'+');                printf(" %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);
       if (nbocc(modelsav,'+')==0) strcpy(strb,modelsav);              fprintf(ficlog," %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);
       /*      printf("i=%d a=%s b=%s sav=%s\n",i, stra,strb,modelsav);*/            }
       /*scanf("%d",i);*/          }
       if (strchr(strb,'*')) {  
         cutv(strd,strc,strb,'*');          for(jk=1; jk <=nlstate ; jk++){
         if (strcmp(strc,"age")==0) {            for(m=0, pp[jk]=0; m <=nlstate+ndeath; m++)
           cptcovprod--;              pp[jk] += freq[jk][m][i];
           cutv(strb,stre,strd,'V');          }       
           Tvar[i]=atoi(stre);          for(jk=1,pos=0,posprop=0; jk <=nlstate ; jk++){
           cptcovage++;            pos += pp[jk];
             Tage[cptcovage]=i;            posprop += prop[jk][i];
             /*printf("stre=%s ", stre);*/          }
         }          for(jk=1; jk <=nlstate ; jk++){
         else if (strcmp(strd,"age")==0) {            if(pos>=1.e-5){
           cptcovprod--;              if(first==1)
           cutv(strb,stre,strc,'V');                printf(" %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);
           Tvar[i]=atoi(stre);              fprintf(ficlog," %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);
           cptcovage++;            }else{
           Tage[cptcovage]=i;              if(first==1)
         }                printf(" %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);
         else {              fprintf(ficlog," %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);
           cutv(strb,stre,strc,'V');            }
           Tvar[i]=ncov+k1;            if( i <= iagemax){
           cutv(strb,strc,strd,'V');              if(pos>=1.e-5){
           Tprod[k1]=i;                fprintf(ficresp," %d %.5f %.0f %.0f",i,prop[jk][i]/posprop, prop[jk][i],posprop);
           Tvard[k1][1]=atoi(strc);                /*probs[i][jk][j1]= pp[jk]/pos;*/
           Tvard[k1][2]=atoi(stre);                /*printf("\ni=%d jk=%d j1=%d %.5f %.0f %.0f %f",i,jk,j1,pp[jk]/pos, pp[jk],pos,probs[i][jk][j1]);*/
           Tvar[cptcovn+k2]=Tvard[k1][1];              }
           Tvar[cptcovn+k2+1]=Tvard[k1][2];              else
           for (k=1; k<=lastobs;k++)                fprintf(ficresp," %d NaNq %.0f %.0f",i,prop[jk][i],posprop);
             covar[ncov+k1][k]=covar[atoi(stre)][k]*covar[atoi(strc)][k];            }
           k1++;          }
           k2=k2+2;          
         }          for(jk=-1; jk <=nlstate+ndeath; jk++)
       }            for(m=-1; m <=nlstate+ndeath; m++)
       else {              if(freq[jk][m][i] !=0 ) {
         /*printf("d=%s c=%s b=%s\n", strd,strc,strb);*/              if(first==1)
        /*  scanf("%d",i);*/                printf(" %d%d=%.0f",jk,m,freq[jk][m][i]);
       cutv(strd,strc,strb,'V');                fprintf(ficlog," %d%d=%.0f",jk,m,freq[jk][m][i]);
       Tvar[i]=atoi(strc);              }
       }          if(i <= iagemax)
       strcpy(modelsav,stra);              fprintf(ficresp,"\n");
       /*printf("a=%s b=%s sav=%s\n", stra,strb,modelsav);          if(first==1)
         scanf("%d",i);*/            printf("Others in log...\n");
     }          fprintf(ficlog,"\n");
 }        }
        }
   /*printf("tvar1=%d tvar2=%d tvar3=%d cptcovage=%d Tage=%d",Tvar[1],Tvar[2],Tvar[3],cptcovage,Tage[1]);    }
   printf("cptcovprod=%d ", cptcovprod);    dateintmean=dateintsum/k2cpt; 
   scanf("%d ",i);*/   
     fclose(fic);    fclose(ficresp);
     free_ma3x(freq,-5,nlstate+ndeath,-5,nlstate+ndeath, iagemin, iagemax+3);
     /*  if(mle==1){*/    free_vector(pp,1,nlstate);
     if (weightopt != 1) { /* Maximisation without weights*/    free_matrix(prop,1,nlstate,iagemin, iagemax+3);
       for(i=1;i<=n;i++) weight[i]=1.0;    /* End of Freq */
     }  }
     /*-calculation of age at interview from date of interview and age at death -*/  
     agev=matrix(1,maxwav,1,imx);  /************ 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)
    for (i=1; i<=imx; i++)  {  
      for(m=2; (m<= maxwav); m++)    /* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people
        if ((mint[m][i]== 99) && (s[m][i] <= nlstate)){       in each health status at the date of interview (if between dateprev1 and dateprev2).
          anint[m][i]=9999;       We still use firstpass and lastpass as another selection.
          s[m][i]=-1;    */
        }   
        int i, m, jk, k1, i1, j1, bool, z1,j;
     for (i=1; i<=imx; i++)  {    double ***freq; /* Frequencies */
       agedc[i]=(moisdc[i]/12.+andc[i])-(moisnais[i]/12.+annais[i]);    double *pp, **prop;
       for(m=1; (m<= maxwav); m++){    double pos,posprop; 
         if(s[m][i] >0){    double  y2; /* in fractional years */
           if (s[m][i] == nlstate+1) {    int iagemin, iagemax;
             if(agedc[i]>0)  
               if(moisdc[i]!=99 && andc[i]!=9999)    iagemin= (int) agemin;
               agev[m][i]=agedc[i];    iagemax= (int) agemax;
             else {    /*pp=vector(1,nlstate);*/
               if (andc[i]!=9999){    prop=matrix(1,nlstate,iagemin,iagemax+3); 
               printf("Warning negative age at death: %d line:%d\n",num[i],i);    /*  freq=ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,iagemin,iagemax+3);*/
               agev[m][i]=-1;    j1=0;
               }    
             }    j=cptcoveff;
           }    if (cptcovn<1) {j=1;ncodemax[1]=1;}
           else if(s[m][i] !=9){ /* Should no more exist */    
             agev[m][i]=(mint[m][i]/12.+1./24.+anint[m][i])-(moisnais[i]/12.+1./24.+annais[i]);    for(k1=1; k1<=j;k1++){
             if(mint[m][i]==99 || anint[m][i]==9999)      for(i1=1; i1<=ncodemax[k1];i1++){
               agev[m][i]=1;        j1++;
             else if(agev[m][i] <agemin){        
               agemin=agev[m][i];        for (i=1; i<=nlstate; i++)  
               /*printf(" Min anint[%d][%d]=%.2f annais[%d]=%.2f, agemin=%.2f\n",m,i,anint[m][i], i,annais[i], agemin);*/          for(m=iagemin; m <= iagemax+3; m++)
             }            prop[i][m]=0.0;
             else if(agev[m][i] >agemax){       
               agemax=agev[m][i];        for (i=1; i<=imx; i++) { /* Each individual */
              /* printf(" anint[%d][%d]=%.0f annais[%d]=%.0f, agemax=%.0f\n",m,i,anint[m][i], i,annais[i], agemax);*/          bool=1;
             }          if  (cptcovn>0) {
             /*agev[m][i]=anint[m][i]-annais[i];*/            for (z1=1; z1<=cptcoveff; z1++) 
             /*   agev[m][i] = age[i]+2*m;*/              if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtab[j1][z1]]) 
           }                bool=0;
           else { /* =9 */          } 
             agev[m][i]=1;          if (bool==1) { 
             s[m][i]=-1;            for(m=firstpass; m<=lastpass; m++){/* Other selection (we can limit to certain interviews*/
           }              y2=anint[m][i]+(mint[m][i]/12.); /* Fractional date in year */
         }              if ((y2>=dateprev1) && (y2<=dateprev2)) { /* Here is the main selection (fractional years) */
         else /*= 0 Unknown */                if(agev[m][i]==0) agev[m][i]=iagemax+1;
           agev[m][i]=1;                if(agev[m][i]==1) agev[m][i]=iagemax+2;
       }                if((int)agev[m][i] <iagemin || (int)agev[m][i] >iagemax+3) printf("Error on individual =%d agev[m][i]=%f m=%d\n",i, agev[m][i],m); 
                    if (s[m][i]>0 && s[m][i]<=nlstate) { 
     }                  /*if(i>4620) printf(" i=%d m=%d s[m][i]=%d (int)agev[m][i]=%d weight[i]=%f prop=%f\n",i,m,s[m][i],(int)agev[m][m],weight[i],prop[s[m][i]][(int)agev[m][i]]);*/
     for (i=1; i<=imx; i++)  {                  prop[s[m][i]][(int)agev[m][i]] += weight[i];
       for(m=1; (m<= maxwav); m++){                  prop[s[m][i]][iagemax+3] += weight[i]; 
         if (s[m][i] > (nlstate+ndeath)) {                } 
           printf("Error: Wrong value in nlstate or ndeath\n");                }
           goto end;            } /* end selection of waves */
         }          }
       }        }
     }        for(i=iagemin; i <= iagemax+3; i++){  
           
 printf("Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, agemin, agemax);          for(jk=1,posprop=0; jk <=nlstate ; jk++) { 
             posprop += prop[jk][i]; 
     free_vector(severity,1,maxwav);          } 
     free_imatrix(outcome,1,maxwav+1,1,n);  
     free_vector(moisnais,1,n);          for(jk=1; jk <=nlstate ; jk++){     
     free_vector(annais,1,n);            if( i <=  iagemax){ 
     /* free_matrix(mint,1,maxwav,1,n);              if(posprop>=1.e-5){ 
        free_matrix(anint,1,maxwav,1,n);*/                probs[i][jk][j1]= prop[jk][i]/posprop;
     free_vector(moisdc,1,n);              } else
     free_vector(andc,1,n);                printf("Warning Observed prevalence probs[%d][%d][%d]=%lf because of lack of cases\n",jk,i,j1,probs[i][jk][j1]);
             } 
              }/* end jk */ 
     wav=ivector(1,imx);        }/* end i */ 
     dh=imatrix(1,lastpass-firstpass+1,1,imx);      } /* end i1 */
     mw=imatrix(1,lastpass-firstpass+1,1,imx);    } /* end k1 */
        
     /* Concatenates waves */    /*  free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath, iagemin, iagemax+3);*/
       concatwav(wav, dh, mw, s, agedc, agev,  firstpass, lastpass, imx, nlstate, stepm);    /*free_vector(pp,1,nlstate);*/
     free_matrix(prop,1,nlstate, iagemin,iagemax+3);
   }  /* End of prevalence */
       Tcode=ivector(1,100);  
       nbcode=imatrix(0,NCOVMAX,0,NCOVMAX);  /************* Waves Concatenation ***************/
       ncodemax[1]=1;  
       if (cptcovn > 0) tricode(Tvar,nbcode,imx);  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)
        {
    codtab=imatrix(1,100,1,10);    /* Concatenates waves: wav[i] is the number of effective (useful waves) of individual i.
    h=0;       Death is a valid wave (if date is known).
    m=pow(2,cptcoveff);       mw[mi][i] is the mi (mi=1 to wav[i])  effective wave of individual i
         dh[m][i] or dh[mw[mi][i]][i] is the delay between two effective waves m=mw[mi][i]
    for(k=1;k<=cptcoveff; k++){       and mw[mi+1][i]. dh depends on stepm.
      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++){    int i, mi, m;
            h++;    /* int j, k=0,jk, ju, jl,jmin=1e+5, jmax=-1;
            if (h>m) h=1;codtab[h][k]=j;       double sum=0., jmean=0.;*/
          }    int first;
        }    int j, k=0,jk, ju, jl;
      }    double sum=0.;
    }    first=0;
        jmin=1e+5;
    /* Calculates basic frequencies. Computes observed prevalence at single age    jmax=-1;
        and prints on file fileres'p'. */    jmean=0.;
     for(i=1; i<=imx; i++){
     if ((nbocc(strfprev,'/')==1) && (nbocc(strlprev,'/')==1)){      mi=0;
      boolprev=0;      m=firstpass;
      cutv(stra,strb,strfprev,'/');      while(s[m][i] <= nlstate){
      dateprev1=(double)(atoi(strb)+atoi(stra)/12.);        if(s[m][i]>=1 || s[m][i]==-2 || s[m][i]==-4 || s[m][i]==-5)
      cutv(stra,strb,strlprev,'/');          mw[++mi][i]=m;
      dateprev2=(double)(atoi(strb)+atoi(stra)/12.);        if(m >=lastpass)
    }          break;
            else
    else if ((nbocc(strfprev,'/')==0) &&(nbocc(strlprev,'/')==0)){          m++;
      boolprev=1;      }/* end while */
      fprev=atoi(strfprev); lprev=atoi(strlprev);      if (s[m][i] > nlstate){
    }        mi++;     /* Death is another wave */
     else {        /* if(mi==0)  never been interviewed correctly before death */
       printf("Error in statement lprevalence or fprevalence\n");           /* Only death is a correct wave */
       goto end;        mw[mi][i]=m;
     }      }
      
   freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvar,nbcode, ncodemax, fprev, lprev,mint,anint,boolprev,dateprev1,dateprev2);      wav[i]=mi;
        if(mi==0){
   pmmij= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */        nbwarn++;
     oldms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */        if(first==0){
     newms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */          printf("Warning! No valid information for individual %ld line=%d (skipped) and may be others, see log file\n",num[i],i);
     savms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */          first=1;
     oldm=oldms; newm=newms; savm=savms; /* Keeps fixed addresses to free */        }
              if(first==1){
     /* For Powell, parameters are in a vector p[] starting at p[1]          fprintf(ficlog,"Warning! No valid information for individual %ld line=%d (skipped)\n",num[i],i);
        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) */      } /* end mi==0 */
     } /* End individuals */
     if(mle==1){  
     mlikeli(ficres,p, npar, ncovmodel, nlstate, ftol, func);    for(i=1; i<=imx; i++){
     }      for(mi=1; mi<wav[i];mi++){
            if (stepm <=0)
     /*--------- results files --------------*/          dh[mi][i]=1;
     fprintf(ficres,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncov=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\nmodel=%s\n", title, datafile, lastobs, firstpass,lastpass,ftol, stepm, ncov, nlstate, ndeath, maxwav, mle,weightopt,model);        else{
    fprintf(ficres,"fprevalence=%s lprevalence=%s pop_based=%d\n",strfprev,strlprev,popbased);          if (s[mw[mi+1][i]][i] > nlstate) { /* A death */
    fprintf(ficres,"fprevalence=%s lprevalence=%s nforecast=%d mob_average=%d\n",strfprevfore,strlprevfore,nforecast,mobilav);            if (agedc[i] < 2*AGESUP) {
               j= rint(agedc[i]*12-agev[mw[mi][i]][i]*12); 
    jk=1;              if(j==0) j=1;  /* Survives at least one month after exam */
    fprintf(ficres,"# Parameters\n");              else if(j<0){
    printf("# Parameters\n");                nberr++;
    for(i=1,jk=1; i <=nlstate; i++){                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]);
      for(k=1; k <=(nlstate+ndeath); k++){                j=1; /* Temporary Dangerous patch */
        if (k != i)                printf("   We assumed that the date of interview was correct (and not the date of death) and postponed the death %d month(s) (one stepm) after the interview. You MUST fix the contradiction between dates.\n",stepm);
          {                fprintf(ficlog,"Error! Negative delay (%d to death) between waves %d and %d of individual %ld at line %d who is aged %.1f with statuses from %d to %d\n ",j,mw[mi][i],mw[mi+1][i],num[i], i,agev[mw[mi][i]][i],s[mw[mi][i]][i] ,s[mw[mi+1][i]][i]);
            printf("%d%d ",i,k);                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);
            fprintf(ficres,"%1d%1d ",i,k);              }
            for(j=1; j <=ncovmodel; j++){              k=k+1;
              printf("%f ",p[jk]);              if (j >= jmax){
              fprintf(ficres,"%f ",p[jk]);                jmax=j;
              jk++;                ijmax=i;
            }              }
            printf("\n");              if (j <= jmin){
            fprintf(ficres,"\n");                jmin=j;
          }                ijmin=i;
      }              }
    }              sum=sum+j;
  if(mle==1){              /*if (j<0) printf("j=%d num=%d \n",j,i);*/
     /* Computing hessian and covariance matrix */              /*    printf("%d %d %d %d\n", s[mw[mi][i]][i] ,s[mw[mi+1][i]][i],j,i);*/
     ftolhess=ftol; /* Usually correct */            }
     hesscov(matcov, p, npar, delti, ftolhess, func);          }
  }          else{
     fprintf(ficres,"# Scales\n");            j= rint( (agev[mw[mi+1][i]][i]*12 - agev[mw[mi][i]][i]*12));
     printf("# Scales\n");  /*        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]); */
      for(i=1,jk=1; i <=nlstate; i++){  
       for(j=1; j <=nlstate+ndeath; j++){            k=k+1;
         if (j!=i) {            if (j >= jmax) {
           fprintf(ficres,"%1d%1d",i,j);              jmax=j;
           printf("%1d%1d",i,j);              ijmax=i;
           for(k=1; k<=ncovmodel;k++){            }
             printf(" %.5e",delti[jk]);            else if (j <= jmin){
             fprintf(ficres," %.5e",delti[jk]);              jmin=j;
             jk++;              ijmin=i;
           }            }
           printf("\n");            /*        if (j<10) printf("j=%d jmin=%d num=%d ",j,jmin,i); */
           fprintf(ficres,"\n");            /*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]);*/
         }            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]);
                  fprintf(ficlog,"Error! Negative delay (%d) between waves %d and %d of individual %ld at line %d who is aged %.1f with statuses from %d to %d\n ",j,mw[mi][i],mw[mi+1][i],num[i], i,agev[mw[mi][i]][i],s[mw[mi][i]][i] ,s[mw[mi+1][i]][i]);
     k=1;            }
     fprintf(ficres,"# Covariance\n");            sum=sum+j;
     printf("# Covariance\n");          }
     for(i=1;i<=npar;i++){          jk= j/stepm;
       /*  if (k>nlstate) k=1;          jl= j -jk*stepm;
       i1=(i-1)/(ncovmodel*nlstate)+1;          ju= j -(jk+1)*stepm;
       fprintf(ficres,"%s%d%d",alph[k],i1,tab[i]);          if(mle <=1){ /* only if we use a the linear-interpoloation pseudo-likelihood */
       printf("%s%d%d",alph[k],i1,tab[i]);*/            if(jl==0){
       fprintf(ficres,"%3d",i);              dh[mi][i]=jk;
       printf("%3d",i);              bh[mi][i]=0;
       for(j=1; j<=i;j++){            }else{ /* We want a negative bias in order to only have interpolation ie
         fprintf(ficres," %.5e",matcov[i][j]);                    * to avoid the price of an extra matrix product in likelihood */
         printf(" %.5e",matcov[i][j]);              dh[mi][i]=jk+1;
       }              bh[mi][i]=ju;
       fprintf(ficres,"\n");            }
       printf("\n");          }else{
       k++;            if(jl <= -ju){
     }              dh[mi][i]=jk;
                  bh[mi][i]=jl;       /* bias is positive if real duration
     while((c=getc(ficpar))=='#' && c!= EOF){                                   * is higher than the multiple of stepm and negative otherwise.
       ungetc(c,ficpar);                                   */
       fgets(line, MAXLINE, ficpar);            }
       puts(line);            else{
       fputs(line,ficparo);              dh[mi][i]=jk+1;
     }              bh[mi][i]=ju;
     ungetc(c,ficpar);            }
              if(dh[mi][i]==0){
     fscanf(ficpar,"agemin=%lf agemax=%lf bage=%lf fage=%lf\n",&agemin,&agemax, &bage, &fage);              dh[mi][i]=1; /* At least one step */
                  bh[mi][i]=ju; /* At least one step */
     if (fage <= 2) {              /*  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);*/
       bage = agemin;            }
       fage = agemax;          } /* end if mle */
     }        }
       } /* end wave */
     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\n",agemin,agemax,bage,fage);    jmean=sum/k;
     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);
 /*------------ gnuplot -------------*/   }
 chdir(pathcd);  
   if((ficgp=fopen("graph.plt","w"))==NULL) {  /*********** Tricode ****************************/
     printf("Problem with file graph.gp");goto end;  void tricode(int *Tvar, int **nbcode, int imx)
   }  {
 #ifdef windows    /* Uses cptcovn+2*cptcovprod as the number of covariates */
   fprintf(ficgp,"cd \"%s\" \n",pathc);    /*      Tvar[i]=atoi(stre); /* find 'n' in Vn and stores in Tvar. If model=V2+V1 Tvar[1]=2 and Tvar[2]=1 */
 #endif  
 m=pow(2,cptcoveff);    int Ndum[20],ij=1, k=0, j=0, i=0, maxncov=NCOVMAX;
      int modmaxcovj=0; /* Modality max of covariates j */
  /* 1eme*/    cptcoveff=0; 
   for (cpt=1; cpt<= nlstate ; cpt ++) {   
    for (k1=1; k1<= m ; k1 ++) {    for (k=0; k<maxncov; k++) Ndum[k]=0;
     for (k=1; k<=7; k++) ncodemax[k]=0; /* Horrible constant again */
 #ifdef windows  
     fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \nset ter gif small size 400,300\nplot [%.f:%.f] \"vpl%s\" every :::%d::%d u 1:2 \"\%%lf",agemin,fage,fileres,k1-1,k1-1);    for (j=1; j<=(cptcovn+2*cptcovprod); j++) { /* For each covariate j */
 #endif      for (i=1; i<=imx; i++) { /*reads the data file to get the maximum value of the 
 #ifdef unix                                 modality of this covariate Vj*/ 
 fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \nplot [%.f:%.f] \"vpl%s\" u 1:2 \"\%%lf",agemin,fage,fileres);        ij=(int)(covar[Tvar[j]][i]); /* ij=0 or 1 or -1. Finds for covariate j, n=Tvar[j] of Vn . ij is the
 #endif                                        modality of the nth covariate of individual i. */
         Ndum[ij]++; /*counts and stores the occurence of this modality 0, 1, -1*/
 for (i=1; i<= nlstate ; i ++) {        /*printf("i=%d ij=%d Ndum[ij]=%d imx=%d",i,ij,Ndum[ij],imx);*/
   if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");        if (ij > modmaxcovj) modmaxcovj=ij; 
   else fprintf(ficgp," \%%*lf (\%%*lf)");        /* getting the maximum value of the modality of the covariate
 }           (should be 0 or 1 now) Tvar[j]. If V=sex and male is coded 0 and
     fprintf(ficgp,"\" t\"Stationary prevalence\" w l 0,\"vpl%s\" every :::%d::%d u 1:($2+2*$3) \"\%%lf",fileres,k1-1,k1-1);           female is 1, then modmaxcovj=1.*/
     for (i=1; i<= nlstate ; i ++) {      }
   if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");  
   else fprintf(ficgp," \%%*lf (\%%*lf)");      for (i=0; i<=modmaxcovj; i++) { /* i=-1 ? 0 and 1*/
 }        if( Ndum[i] != 0 )
   fprintf(ficgp,"\" t\"95\%% CI\" w l 1,\"vpl%s\" every :::%d::%d u 1:($2-2*$3) \"\%%lf",fileres,k1-1,k1-1);          ncodemax[j]++; 
      for (i=1; i<= nlstate ; i ++) {        /* Number of modalities of the j th covariate. In fact
   if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");           ncodemax[j]=2 (dichotom. variables only) but it could be more for
   else fprintf(ficgp," \%%*lf (\%%*lf)");           historical reasons */
 }        } /* Ndum[-1] number of undefined modalities */
      fprintf(ficgp,"\" t\"\" w l 1,\"p%s\" every :::%d::%d u 1:($%d) t\"Observed prevalence \" w l 2",fileres,k1-1,k1-1,2+4*(cpt-1));  
 #ifdef unix      /* j is a covariate, n=Tvar[j] of Vn; Fills nbcode */
 fprintf(ficgp,"\nset ter gif small size 400,300");      ij=1; 
 #endif      for (i=1; i<=ncodemax[j]; i++) { /* i= 1 to 2 for dichotomous */
 fprintf(ficgp,"\nset out \"v%s%d%d.gif\" \nreplot\n\n",strtok(optionfile, "."),cpt,k1);        for (k=0; k<= maxncov; k++) { /* k=-1 ? NCOVMAX*/
    }          if (Ndum[k] != 0) { /* If at least one individual responded to this modality k */
   }            nbcode[Tvar[j]][ij]=k;  /* stores the modality in an array nbcode. 
   /*2 eme*/                                       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; */
   for (k1=1; k1<= m ; k1 ++) {            ij++;
     fprintf(ficgp,"set ylabel \"Years\" \nset ter gif small size 400,300\nplot [%.f:%.f] ",agemin,fage);          }
              if (ij > ncodemax[j]) break; 
     for (i=1; i<= nlstate+1 ; i ++) {        }  
       k=2*i;      } 
       fprintf(ficgp,"\"t%s\" every :::%d::%d u 1:2 \"\%%lf",fileres,k1-1,k1-1);    }  
       for (j=1; j<= nlstate+1 ; j ++) {  
   if (j==i) fprintf(ficgp," \%%lf (\%%lf)");   for (k=0; k< maxncov; k++) Ndum[k]=0;
   else fprintf(ficgp," \%%*lf (\%%*lf)");  
 }     for (i=1; i<=ncovmodel-2; i++) { /* -2, cste and age */
       if (i== 1) fprintf(ficgp,"\" t\"TLE\" w l ,");     /* Listing of all covariables in statement model to see if some covariates appear twice. For example, V1 appears twice in V1+V1*V2.*/
       else fprintf(ficgp,"\" t\"LE in state (%d)\" w l ,",i-1);     ij=Tvar[i]; /* Tvar might be -1 if status was unknown */
     fprintf(ficgp,"\"t%s\" every :::%d::%d u 1:($2-$3*2) \"\%%lf",fileres,k1-1,k1-1);     Ndum[ij]++;
       for (j=1; j<= nlstate+1 ; j ++) {   }
         if (j==i) fprintf(ficgp," \%%lf (\%%lf)");  
         else fprintf(ficgp," \%%*lf (\%%*lf)");   ij=1;
 }     for (i=1; i<= maxncov; i++) {
       fprintf(ficgp,"\" t\"\" w l 0,");     if((Ndum[i]!=0) && (i<=ncovcol)){
      fprintf(ficgp,"\"t%s\" every :::%d::%d u 1:($2+$3*2) \"\%%lf",fileres,k1-1,k1-1);       Tvaraff[ij]=i; /*For printing */
       for (j=1; j<= nlstate+1 ; j ++) {       ij++;
   if (j==i) fprintf(ficgp," \%%lf (\%%lf)");     }
   else fprintf(ficgp," \%%*lf (\%%*lf)");   }
 }     ij--;
       if (i== (nlstate+1)) fprintf(ficgp,"\" t\"\" w l 0");   cptcoveff=ij; /*Number of simple covariates*/
       else fprintf(ficgp,"\" t\"\" w l 0,");  }
     }  
     fprintf(ficgp,"\nset out \"e%s%d.gif\" \nreplot\n\n",strtok(optionfile, "."),k1);  /*********** Health Expectancies ****************/
   }  
    void evsij(double ***eij, double x[], int nlstate, int stepm, int bage, int fage, double **oldm, double **savm, int cij, int estepm,char strstart[] )
   /*3eme*/  
   {
   for (k1=1; k1<= m ; k1 ++) {    /* Health expectancies, no variances */
     for (cpt=1; cpt<= nlstate ; cpt ++) {    int i, j, nhstepm, hstepm, h, nstepm, k, cptj, cptj2, i2, j2;
       k=2+nlstate*(cpt-1);    int nhstepma, nstepma; /* Decreasing with age */
       fprintf(ficgp,"set ter gif small size 400,300\nplot [%.f:%.f] \"e%s\" every :::%d::%d u 1:%d t \"e%d1\" w l",agemin,fage,fileres,k1-1,k1-1,k,cpt);    double age, agelim, hf;
       for (i=1; i< nlstate ; i ++) {    double ***p3mat;
         fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:%d t \"e%d%d\" w l",fileres,k1-1,k1-1,k+i,cpt,i+1);    double eip;
       }  
       fprintf(ficgp,"\nset out \"exp%s%d%d.gif\" \nreplot\n\n",strtok(optionfile, "."),cpt,k1);    pstamp(ficreseij);
     }    fprintf(ficreseij,"# (a) Life expectancies by health status at initial age and (b) health expectancies by health status at initial age\n");
   }    fprintf(ficreseij,"# Age");
      for(i=1; i<=nlstate;i++){
   /* CV preval stat */      for(j=1; j<=nlstate;j++){
   for (k1=1; k1<= m ; k1 ++) {        fprintf(ficreseij," e%1d%1d ",i,j);
     for (cpt=1; cpt<nlstate ; cpt ++) {      }
       k=3;      fprintf(ficreseij," e%1d. ",i);
       fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \nset ter gif small size 400,300\nplot [%.f:%.f] \"pij%s\" u ($1==%d ? ($3):1/0):($%d/($%d",agemin,agemax,fileres,k1,k+cpt+1,k+1);    }
       for (i=1; i< nlstate ; i ++)    fprintf(ficreseij,"\n");
         fprintf(ficgp,"+$%d",k+i+1);  
       fprintf(ficgp,")) t\"prev(%d,%d)\" w l",cpt,cpt+1);    
          if(estepm < stepm){
       l=3+(nlstate+ndeath)*cpt;      printf ("Problem %d lower than %d\n",estepm, stepm);
       fprintf(ficgp,",\"pij%s\" u ($1==%d ? ($3):1/0):($%d/($%d",fileres,k1,l+cpt+1,l+1);    }
       for (i=1; i< nlstate ; i ++) {    else  hstepm=estepm;   
         l=3+(nlstate+ndeath)*cpt;    /* We compute the life expectancy from trapezoids spaced every estepm months
         fprintf(ficgp,"+$%d",l+i+1);     * 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
       fprintf(ficgp,")) t\"prev(%d,%d)\" w l\n",cpt+1,cpt+1);       * we are calculating an estimate of the Life Expectancy assuming a linear 
       fprintf(ficgp,"set out \"p%s%d%d.gif\" \nreplot\n\n",strtok(optionfile, "."),cpt,k1);     * progression in between and thus overestimating or underestimating according
     }     * 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
      * to compare the new estimate of Life expectancy with the same linear 
   /* proba elementaires */     * hypothesis. A more precise result, taking into account a more precise
    for(i=1,jk=1; i <=nlstate; i++){     * curvature will be obtained if estepm is as small as stepm. */
     for(k=1; k <=(nlstate+ndeath); k++){  
       if (k != i) {    /* For example we decided to compute the life expectancy with the smallest unit */
         for(j=1; j <=ncovmodel; j++){    /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
           /*fprintf(ficgp,"%s%1d%1d=%f ",alph[j],i,k,p[jk]);*/       nhstepm is the number of hstepm from age to agelim 
           /*fprintf(ficgp,"%s",alph[1]);*/       nstepm is the number of stepm from age to agelin. 
           fprintf(ficgp,"p%d=%f ",jk,p[jk]);       Look at hpijx to understand the reason of that which relies in memory size
           jk++;       and note for a fixed period like estepm months */
           fprintf(ficgp,"\n");    /* 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 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 
     }       results. So we changed our mind and took the option of the best precision.
     */
   for(jk=1; jk <=m; jk++) {    hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
   fprintf(ficgp,"\nset ter gif small size 400,300\nset log y\nplot  [%.f:%.f] ",agemin,agemax);  
    i=1;    agelim=AGESUP;
    for(k2=1; k2<=nlstate; k2++) {    /* If stepm=6 months */
      k3=i;      /* Computed by stepm unit matrices, product of hstepm matrices, stored
      for(k=1; k<=(nlstate+ndeath); k++) {         in an array of nhstepm length: nhstepm=10, hstepm=4, stepm=6 months */
        if (k != k2){      
         fprintf(ficgp," exp(p%d+p%d*x",i,i+1);  /* nhstepm age range expressed in number of stepm */
 ij=1;    nstepm=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
         for(j=3; j <=ncovmodel; j++) {    /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
           if(((j-2)==Tage[ij]) &&(ij <=cptcovage)) {    /* if (stepm >= YEARM) hstepm=1;*/
             fprintf(ficgp,"+p%d*%d*x",i+j-1,nbcode[Tvar[j-2]][codtab[jk][Tvar[j-2]]]);    nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
             ij++;    p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
           }  
           else    for (age=bage; age<=fage; age ++){ 
           fprintf(ficgp,"+p%d*%d",i+j-1,nbcode[Tvar[j-2]][codtab[jk][j-2]]);      nstepma=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
         }      /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
           fprintf(ficgp,")/(1");      /* if (stepm >= YEARM) hstepm=1;*/
              nhstepma = nstepma/hstepm;/* Expressed in hstepm, typically nhstepma=40/4=10 */
         for(k1=1; k1 <=nlstate; k1++){    
           fprintf(ficgp,"+exp(p%d+p%d*x",k3+(k1-1)*ncovmodel,k3+(k1-1)*ncovmodel+1);      /* If stepm=6 months */
 ij=1;      /* Computed by stepm unit matrices, product of hstepma matrices, stored
           for(j=3; j <=ncovmodel; j++){         in an array of nhstepma length: nhstepma=10, hstepm=4, stepm=6 months */
           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]]]);      hpxij(p3mat,nhstepma,age,hstepm,x,nlstate,stepm,oldm, savm, cij);  
             ij++;      
           }      hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
           else      
             fprintf(ficgp,"+p%d*%d",k3+(k1-1)*ncovmodel+1+j-2,nbcode[Tvar[j-2]][codtab[jk][j-2]]);      printf("%d|",(int)age);fflush(stdout);
           }      fprintf(ficlog,"%d|",(int)age);fflush(ficlog);
           fprintf(ficgp,")");      
         }      /* Computing expectancies */
         fprintf(ficgp,") t \"p%d%d\" ", k2,k);      for(i=1; i<=nlstate;i++)
         if ((k+k2)!= (nlstate*2+ndeath)) fprintf(ficgp,",");        for(j=1; j<=nlstate;j++)
         i=i+ncovmodel;          for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){
        }            eij[i][j][(int)age] += (p3mat[i][j][h]+p3mat[i][j][h+1])/2.0*hf;
      }            
    }            /* if((int)age==70)printf("i=%2d,j=%2d,h=%2d,age=%3d,%9.4f,%9.4f,%9.4f\n",i,j,h,(int)age,p3mat[i][j][h],hf,eij[i][j][(int)age]);*/
    fprintf(ficgp,"\nset out \"pe%s%d.gif\" \nreplot\n\n",strtok(optionfile, "."),jk);  
   }          }
      
   fclose(ficgp);      fprintf(ficreseij,"%3.0f",age );
          for(i=1; i<=nlstate;i++){
 chdir(path);        eip=0;
            for(j=1; j<=nlstate;j++){
     free_ivector(wav,1,imx);          eip +=eij[i][j][(int)age];
     free_imatrix(dh,1,lastpass-firstpass+1,1,imx);          fprintf(ficreseij,"%9.4f", eij[i][j][(int)age] );
     free_imatrix(mw,1,lastpass-firstpass+1,1,imx);          }
     free_ivector(num,1,n);        fprintf(ficreseij,"%9.4f", eip );
     free_vector(agedc,1,n);      }
     /*free_matrix(covar,1,NCOVMAX,1,n);*/      fprintf(ficreseij,"\n");
     fclose(ficparo);      
     fclose(ficres);    }
     /*  }*/    free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
        printf("\n");
    /*________fin mle=1_________*/    fprintf(ficlog,"\n");
        
   }
    
     /* No more information from the sample is required now */  void cvevsij(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[] )
   /* Reads comments: lines beginning with '#' */  
   while((c=getc(ficpar))=='#' && c!= EOF){  {
     ungetc(c,ficpar);    /* Covariances of health expectancies eij and of total life expectancies according
     fgets(line, MAXLINE, ficpar);     to initial status i, ei. .
     puts(line);    */
     fputs(line,ficparo);    int i, j, nhstepm, hstepm, h, nstepm, k, cptj, cptj2, i2, j2, ij, ji;
   }    int nhstepma, nstepma; /* Decreasing with age */
   ungetc(c,ficpar);    double age, agelim, hf;
      double ***p3matp, ***p3matm, ***varhe;
   fscanf(ficpar,"agemin=%lf agemax=%lf bage=%lf fage=%lf\n",&agemin,&agemax, &bage, &fage);    double **dnewm,**doldm;
   printf("agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f\n",agemin,agemax, bage, fage);    double *xp, *xm;
   fprintf(ficparo,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f\n",agemin,agemax,bage,fage);    double **gp, **gm;
 /*--------- index.htm --------*/    double ***gradg, ***trgradg;
     int theta;
   strcpy(optionfilehtm,optionfile);  
   strcat(optionfilehtm,".htm");    double eip, vip;
   if((fichtm=fopen(optionfilehtm,"w"))==NULL)    {  
     printf("Problem with %s \n",optionfilehtm);goto end;    varhe=ma3x(1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int) fage);
   }    xp=vector(1,npar);
     xm=vector(1,npar);
  fprintf(fichtm,"<body><ul> <font size=\"6\">Imach, Version 0.7 </font> <hr size=\"2\" color=\"#EC5E5E\">    dnewm=matrix(1,nlstate*nlstate,1,npar);
 Titre=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=%s<br>    doldm=matrix(1,nlstate*nlstate,1,nlstate*nlstate);
 Total number of observations=%d <br>    
 Interval (in months) between two waves: Min=%d Max=%d Mean=%.2lf<br>    pstamp(ficresstdeij);
 <hr  size=\"2\" color=\"#EC5E5E\">    fprintf(ficresstdeij,"# Health expectancies with standard errors\n");
 <li>Outputs files<br><br>\n    fprintf(ficresstdeij,"# Age");
         - Observed prevalence in each state: <a href=\"p%s\">p%s</a> <br>\n    for(i=1; i<=nlstate;i++){
 - Estimated parameters and the covariance matrix: <a href=\"%s\">%s</a> <br>      for(j=1; j<=nlstate;j++)
         - Stationary prevalence in each state: <a href=\"pl%s\">pl%s</a> <br>        fprintf(ficresstdeij," e%1d%1d (SE)",i,j);
         - Transition probabilities: <a href=\"pij%s\">pij%s</a><br>      fprintf(ficresstdeij," e%1d. ",i);
         - Copy of the parameter file: <a href=\"o%s\">o%s</a><br>    }
         - Life expectancies by age and initial health status: <a href=\"e%s\">e%s</a> <br>    fprintf(ficresstdeij,"\n");
         - Variances of life expectancies by age and initial health status: <a href=\"v%s\">v%s</a><br>  
         - Health expectancies with their variances: <a href=\"t%s\">t%s</a> <br>    pstamp(ficrescveij);
         - Standard deviation of stationary prevalences: <a href=\"vpl%s\">vpl%s</a> <br>    fprintf(ficrescveij,"# Subdiagonal matrix of covariances of health expectancies by age: cov(eij,ekl)\n");
         - Prevalences and population forecasting: <a href=\"f%s\">f%s</a> <br>    fprintf(ficrescveij,"# Age");
 <br>",title,datafile,firstpass,lastpass,stepm, weightopt,model,imx,jmin,jmax,jmean,fileres,fileres,fileres,fileres,fileres,fileres,fileres,fileres,fileres,fileres,fileres,fileres,fileres,fileres,fileres,fileres,fileres,fileres,fileres,fileres);    for(i=1; i<=nlstate;i++)
       for(j=1; j<=nlstate;j++){
  fprintf(fichtm," <li>Graphs</li><p>");        cptj= (j-1)*nlstate+i;
         for(i2=1; i2<=nlstate;i2++)
  m=cptcoveff;          for(j2=1; j2<=nlstate;j2++){
  if (cptcovn < 1) {m=1;ncodemax[1]=1;}            cptj2= (j2-1)*nlstate+i2;
             if(cptj2 <= cptj)
  j1=0;              fprintf(ficrescveij,"  %1d%1d,%1d%1d",i,j,i2,j2);
  for(k1=1; k1<=m;k1++){          }
    for(i1=1; i1<=ncodemax[k1];i1++){      }
        j1++;    fprintf(ficrescveij,"\n");
        if (cptcovn > 0) {    
          fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");    if(estepm < stepm){
          for (cpt=1; cpt<=cptcoveff;cpt++)      printf ("Problem %d lower than %d\n",estepm, stepm);
            fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtab[j1][cpt]]);    }
          fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");    else  hstepm=estepm;   
        }    /* We compute the life expectancy from trapezoids spaced every estepm months
        fprintf(fichtm,"<br>- Probabilities: pe%s%d.gif<br>     * This is mainly to measure the difference between two models: for example
 <img src=\"pe%s%d.gif\">",strtok(optionfile, "."),j1,strtok(optionfile, "."),j1);         * if stepm=24 months pijx are given only every 2 years and by summing them
        for(cpt=1; cpt<nlstate;cpt++){     * we are calculating an estimate of the Life Expectancy assuming a linear 
          fprintf(fichtm,"<br>- Prevalence of disability : p%s%d%d.gif<br>     * progression in between and thus overestimating or underestimating according
 <img src=\"p%s%d%d.gif\">",strtok(optionfile, "."),cpt,j1,strtok(optionfile, "."),cpt,j1);     * 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
     for(cpt=1; cpt<=nlstate;cpt++) {     * to compare the new estimate of Life expectancy with the same linear 
        fprintf(fichtm,"<br>- Observed and stationary prevalence (with confident     * hypothesis. A more precise result, taking into account a more precise
 interval) in state (%d): v%s%d%d.gif <br>     * curvature will be obtained if estepm is as small as stepm. */
 <img src=\"v%s%d%d.gif\">",cpt,strtok(optionfile, "."),cpt,j1,strtok(optionfile, "."),cpt,j1);    
      }    /* For example we decided to compute the life expectancy with the smallest unit */
      for(cpt=1; cpt<=nlstate;cpt++) {    /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
         fprintf(fichtm,"\n<br>- Health life expectancies by age and initial health state (%d): exp%s%d%d.gif <br>       nhstepm is the number of hstepm from age to agelim 
 <img src=\"exp%s%d%d.gif\">",cpt,strtok(optionfile, "."),cpt,j1,strtok(optionfile, "."),cpt,j1);       nstepm is the number of stepm from age to agelin. 
      }       Look at hpijx to understand the reason of that which relies in memory size
      fprintf(fichtm,"\n<br>- Total life expectancy by age and       and note for a fixed period like estepm months */
 health expectancies in states (1) and (2): e%s%d.gif<br>    /* We decided (b) to get a life expectancy respecting the most precise curvature of the
 <img src=\"e%s%d.gif\">",strtok(optionfile, "."),j1,strtok(optionfile, "."),j1);       survival function given by stepm (the optimization length). Unfortunately it
 fprintf(fichtm,"\n</body>");       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 
  }       results. So we changed our mind and took the option of the best precision.
 fclose(fichtm);    */
     hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
   /*--------------- Prevalence limit --------------*/  
      /* If stepm=6 months */
   strcpy(filerespl,"pl");    /* nhstepm age range expressed in number of stepm */
   strcat(filerespl,fileres);    agelim=AGESUP;
   if((ficrespl=fopen(filerespl,"w"))==NULL) {    nstepm=(int) rint((agelim-bage)*YEARM/stepm); 
     printf("Problem with Prev limit resultfile: %s\n", filerespl);goto end;    /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
   }    /* if (stepm >= YEARM) hstepm=1;*/
   printf("Computing prevalence limit: result on file '%s' \n", filerespl);    nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
   fprintf(ficrespl,"#Prevalence limit\n");    
   fprintf(ficrespl,"#Age ");    p3matp=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
   for(i=1; i<=nlstate;i++) fprintf(ficrespl,"%d-%d ",i,i);    p3matm=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
   fprintf(ficrespl,"\n");    gradg=ma3x(0,nhstepm,1,npar,1,nlstate*nlstate);
      trgradg =ma3x(0,nhstepm,1,nlstate*nlstate,1,npar);
   prlim=matrix(1,nlstate,1,nlstate);    gp=matrix(0,nhstepm,1,nlstate*nlstate);
   pmmij= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */    gm=matrix(0,nhstepm,1,nlstate*nlstate);
   oldms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */  
   newms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */    for (age=bage; age<=fage; age ++){ 
   savms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */      nstepma=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
   oldm=oldms; newm=newms; savm=savms; /* Keeps fixed addresses to free */      /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
   k=0;      /* if (stepm >= YEARM) hstepm=1;*/
   agebase=agemin;      nhstepma = nstepma/hstepm;/* Expressed in hstepm, typically nhstepma=40/4=10 */
   agelim=agemax;  
   ftolpl=1.e-10;      /* If stepm=6 months */
   i1=cptcoveff;      /* Computed by stepm unit matrices, product of hstepma matrices, stored
   if (cptcovn < 1){i1=1;}         in an array of nhstepma length: nhstepma=10, hstepm=4, stepm=6 months */
       
   for(cptcov=1;cptcov<=i1;cptcov++){      hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
     for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){  
         k=k+1;      /* Computing  Variances of health expectancies */
         /*printf("cptcov=%d cptcod=%d codtab=%d nbcode=%d\n",cptcov, cptcod,Tcode[cptcode],codtab[cptcod][cptcov]);*/      /* Gradient is computed with plus gp and minus gm. Code is duplicated in order to
         fprintf(ficrespl,"\n#******");         decrease memory allocation */
         for(j=1;j<=cptcoveff;j++)      for(theta=1; theta <=npar; theta++){
           fprintf(ficrespl," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);        for(i=1; i<=npar; i++){ 
         fprintf(ficrespl,"******\n");          xp[i] = x[i] + (i==theta ?delti[theta]:0);
                  xm[i] = x[i] - (i==theta ?delti[theta]:0);
         for (age=agebase; age<=agelim; age++){        }
           prevalim(prlim, nlstate, p, age, oldm, savm,ftolpl,k);        hpxij(p3matp,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, cij);  
           fprintf(ficrespl,"%.0f",age );        hpxij(p3matm,nhstepm,age,hstepm,xm,nlstate,stepm,oldm,savm, cij);  
           for(i=1; i<=nlstate;i++)    
           fprintf(ficrespl," %.5f", prlim[i][i]);        for(j=1; j<= nlstate; j++){
           fprintf(ficrespl,"\n");          for(i=1; i<=nlstate; i++){
         }            for(h=0; h<=nhstepm-1; h++){
       }              gp[h][(j-1)*nlstate + i] = (p3matp[i][j][h]+p3matp[i][j][h+1])/2.;
     }              gm[h][(j-1)*nlstate + i] = (p3matm[i][j][h]+p3matm[i][j][h+1])/2.;
   fclose(ficrespl);            }
           }
   /*------------- h Pij x at various ages ------------*/        }
         
   strcpy(filerespij,"pij");  strcat(filerespij,fileres);        for(ij=1; ij<= nlstate*nlstate; ij++)
   if((ficrespij=fopen(filerespij,"w"))==NULL) {          for(h=0; h<=nhstepm-1; h++){
     printf("Problem with Pij resultfile: %s\n", filerespij);goto end;            gradg[h][theta][ij]= (gp[h][ij]-gm[h][ij])/2./delti[theta];
   }          }
   printf("Computing pij: result on file '%s' \n", filerespij);      }/* End theta */
        
   stepsize=(int) (stepm+YEARM-1)/YEARM;      
   /*if (stepm<=24) stepsize=2;*/      for(h=0; h<=nhstepm-1; h++)
         for(j=1; j<=nlstate*nlstate;j++)
   agelim=AGESUP;          for(theta=1; theta <=npar; theta++)
   hstepm=stepsize*YEARM; /* Every year of age */            trgradg[h][j][theta]=gradg[h][theta][j];
   hstepm=hstepm/stepm; /* Typically 2 years, = 2/6 months = 4 */      
    
   k=0;       for(ij=1;ij<=nlstate*nlstate;ij++)
   for(cptcov=1;cptcov<=i1;cptcov++){        for(ji=1;ji<=nlstate*nlstate;ji++)
     for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){          varhe[ij][ji][(int)age] =0.;
       k=k+1;  
         fprintf(ficrespij,"\n#****** ");       printf("%d|",(int)age);fflush(stdout);
         for(j=1;j<=cptcoveff;j++)       fprintf(ficlog,"%d|",(int)age);fflush(ficlog);
           fprintf(ficrespij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);       for(h=0;h<=nhstepm-1;h++){
         fprintf(ficrespij,"******\n");        for(k=0;k<=nhstepm-1;k++){
                  matprod2(dnewm,trgradg[h],1,nlstate*nlstate,1,npar,1,npar,matcov);
         for (agedeb=fage; agedeb>=bage; agedeb--){ /* If stepm=6 months */          matprod2(doldm,dnewm,1,nlstate*nlstate,1,npar,1,nlstate*nlstate,gradg[k]);
           nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */          for(ij=1;ij<=nlstate*nlstate;ij++)
           nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */            for(ji=1;ji<=nlstate*nlstate;ji++)
           p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);              varhe[ij][ji][(int)age] += doldm[ij][ji]*hf*hf;
           oldm=oldms;savm=savms;        }
           hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);        }
           fprintf(ficrespij,"# Age");  
           for(i=1; i<=nlstate;i++)      /* Computing expectancies */
             for(j=1; j<=nlstate+ndeath;j++)      hpxij(p3matm,nhstepm,age,hstepm,x,nlstate,stepm,oldm, savm, cij);  
               fprintf(ficrespij," %1d-%1d",i,j);      for(i=1; i<=nlstate;i++)
           fprintf(ficrespij,"\n");        for(j=1; j<=nlstate;j++)
           for (h=0; h<=nhstepm; h++){          for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){
             fprintf(ficrespij,"%d %.0f %.0f",k,agedeb, agedeb+ h*hstepm/YEARM*stepm );            eij[i][j][(int)age] += (p3matm[i][j][h]+p3matm[i][j][h+1])/2.0*hf;
             for(i=1; i<=nlstate;i++)            
               for(j=1; j<=nlstate+ndeath;j++)            /* if((int)age==70)printf("i=%2d,j=%2d,h=%2d,age=%3d,%9.4f,%9.4f,%9.4f\n",i,j,h,(int)age,p3mat[i][j][h],hf,eij[i][j][(int)age]);*/
                 fprintf(ficrespij," %.5f", p3mat[i][j][h]);  
             fprintf(ficrespij,"\n");          }
           }  
           free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);      fprintf(ficresstdeij,"%3.0f",age );
           fprintf(ficrespij,"\n");      for(i=1; i<=nlstate;i++){
         }        eip=0.;
     }        vip=0.;
   }        for(j=1; j<=nlstate;j++){
           eip += eij[i][j][(int)age];
   /* varprob(fileres, matcov, p, delti, nlstate, (int) bage, (int) fage,k);*/          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];
   fclose(ficrespij);          fprintf(ficresstdeij," %9.4f (%.4f)", eij[i][j][(int)age], sqrt(varhe[(j-1)*nlstate+i][(j-1)*nlstate+i][(int)age]) );
         }
   /*---------- Forecasting ------------------*/        fprintf(ficresstdeij," %9.4f (%.4f)", eip, sqrt(vip));
       }
   strcpy(fileresf,"f");      fprintf(ficresstdeij,"\n");
   strcat(fileresf,fileres);  
   if((ficresf=fopen(fileresf,"w"))==NULL) {      fprintf(ficrescveij,"%3.0f",age );
     printf("Problem with forecast resultfile: %s\n", fileresf);goto end;      for(i=1; i<=nlstate;i++)
   }        for(j=1; j<=nlstate;j++){
   printf("Computing forecasting: result on file '%s' \n", fileresf);          cptj= (j-1)*nlstate+i;
           for(i2=1; i2<=nlstate;i2++)
  if ((nbocc(strfprevfore,'/')==1) && (nbocc(strlprevfore,'/')==1)){            for(j2=1; j2<=nlstate;j2++){
      boolprev=0;              cptj2= (j2-1)*nlstate+i2;
      cutv(stra,strb,strfprevfore,'/');              if(cptj2 <= cptj)
      dateprev1=(double)(atoi(strb)+atoi(stra)/12.);                fprintf(ficrescveij," %.4f", varhe[cptj][cptj2][(int)age]);
      cutv(stra,strb,strlprevfore,'/');            }
      dateprev2=(double)(atoi(strb)+atoi(stra)/12.);        }
    }      fprintf(ficrescveij,"\n");
         
    else if ((nbocc(strfprevfore,'/')==0) &&(nbocc(strlprevfore,'/')==0)){    }
      boolprev=1;    free_matrix(gm,0,nhstepm,1,nlstate*nlstate);
      fprev=atoi(strfprevfore); lprev=atoi(strlprevfore);    free_matrix(gp,0,nhstepm,1,nlstate*nlstate);
    }    free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate*nlstate);
     else {    free_ma3x(trgradg,0,nhstepm,1,nlstate*nlstate,1,npar);
       printf("Error in statement lprevalence or fprevalence\n");    free_ma3x(p3matm,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
       goto end;    free_ma3x(p3matp,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
     }    printf("\n");
     fprintf(ficlog,"\n");
   prevalence(agemin, agemax, s, agev, nlstate, imx,Tvar,nbcode, ncodemax, fprevfore, lprevfore,mint,anint,boolprev,dateprev1,dateprev2);  
      free_vector(xm,1,npar);
   free_matrix(mint,1,maxwav,1,n);    free_vector(xp,1,npar);
   free_matrix(anint,1,maxwav,1,n);    free_matrix(dnewm,1,nlstate*nlstate,1,npar);
   free_matrix(agev,1,maxwav,1,imx);    free_matrix(doldm,1,nlstate*nlstate,1,nlstate*nlstate);
   /* Mobile average */    free_ma3x(varhe,1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int)fage);
   }
   if (cptcoveff==0) ncodemax[cptcoveff]=1;  
   /************ Variance ******************/
   if (mobilav==1) {  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[])
     mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);  {
     for (agedeb=bage+3; agedeb<=fage-2; agedeb++)    /* Variance of health expectancies */
       for (i=1; i<=nlstate;i++)    /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);*/
         for (cptcod=1;cptcod<=ncodemax[cptcov];cptcod++)    /* double **newm;*/
           mobaverage[(int)agedeb][i][cptcod]=0.;    double **dnewm,**doldm;
        double **dnewmp,**doldmp;
     for (agedeb=bage+4; agedeb<=fage; agedeb++){    int i, j, nhstepm, hstepm, h, nstepm ;
       for (i=1; i<=nlstate;i++){    int k, cptcode;
         for (cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){    double *xp;
           for (cpt=0;cpt<=4;cpt++){    double **gp, **gm;  /* for var eij */
             mobaverage[(int)agedeb-2][i][cptcod]=mobaverage[(int)agedeb-2][i][cptcod]+probs[(int)agedeb-cpt][i][cptcod];    double ***gradg, ***trgradg; /*for var eij */
           }    double **gradgp, **trgradgp; /* for var p point j */
           mobaverage[(int)agedeb-2][i][cptcod]=mobaverage[(int)agedeb-2][i][cptcod]/5;    double *gpp, *gmp; /* for var p point j */
         }    double **varppt; /* for var p point j nlstate to nlstate+ndeath */
       }    double ***p3mat;
     }      double age,agelim, hf;
   }    double ***mobaverage;
     int theta;
   stepsize=(int) (stepm+YEARM-1)/YEARM;    char digit[4];
   if (stepm<=12) stepsize=1;    char digitp[25];
   
   agelim=AGESUP;    char fileresprobmorprev[FILENAMELENGTH];
   hstepm=stepsize*YEARM; /* Every year of age */  
   hstepm=hstepm/stepm; /* Typically 2 years, = 2 years/6 months = 4 */    if(popbased==1){
        if(mobilav!=0)
   if (popforecast==1) {        strcpy(digitp,"-populbased-mobilav-");
     if((ficpop=fopen(popfile,"r"))==NULL)    {      else strcpy(digitp,"-populbased-nomobil-");
       printf("Problem with population file : %s\n",popfile);goto end;    }
     }    else 
     popage=ivector(0,AGESUP);      strcpy(digitp,"-stablbased-");
     popeffectif=vector(0,AGESUP);  
     popcount=vector(0,AGESUP);    if (mobilav!=0) {
       mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
     i=1;        if (movingaverage(probs, bage, fage, mobaverage,mobilav)!=0){
     while ((c=fscanf(ficpop,"%d %lf\n",&popage[i],&popcount[i])) != EOF)        fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
       {        printf(" Error in movingaverage mobilav=%d\n",mobilav);
         i=i+1;      }
       }    }
     imx=i;  
      strcpy(fileresprobmorprev,"prmorprev"); 
   for (i=1; i<imx;i++) popeffectif[popage[i]]=popcount[i];    sprintf(digit,"%-d",ij);
   }    /*printf("DIGIT=%s, ij=%d ijr=%-d|\n",digit, ij,ij);*/
     strcat(fileresprobmorprev,digit); /* Tvar to be done */
   for(cptcov=1;cptcov<=i1;cptcov++){    strcat(fileresprobmorprev,digitp); /* Popbased or not, mobilav or not */
     for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){    strcat(fileresprobmorprev,fileres);
       k=k+1;    if((ficresprobmorprev=fopen(fileresprobmorprev,"w"))==NULL) {
       fprintf(ficresf,"\n#****** ");      printf("Problem with resultfile: %s\n", fileresprobmorprev);
       for(j=1;j<=cptcoveff;j++) {      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobmorprev);
         fprintf(ficresf,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);    }
       }    printf("Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
       fprintf(ficresf,"******\n");   
       fprintf(ficresf,"# StartingAge FinalAge Horizon(in years)");    fprintf(ficlog,"Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
       for(j=1; j<=nlstate+ndeath;j++) fprintf(ficresf," P.%d",j);    pstamp(ficresprobmorprev);
       if (popforecast==1)  fprintf(ficresf," [Population]");    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);
       for (agedeb=fage; agedeb>=bage; agedeb--){    for(j=nlstate+1; j<=(nlstate+ndeath);j++){
         fprintf(ficresf,"\n%.f %.f 0",agedeb, agedeb);      fprintf(ficresprobmorprev," p.%-d SE",j);
        if (mobilav==1) {      for(i=1; i<=nlstate;i++)
         for(j=1; j<=nlstate;j++)        fprintf(ficresprobmorprev," w%1d p%-d%-d",i,i,j);
           fprintf(ficresf," %.3f",mobaverage[(int)agedeb][j][cptcod]);    }  
         }    fprintf(ficresprobmorprev,"\n");
         else {    fprintf(ficgp,"\n# Routine varevsij");
           for(j=1; j<=nlstate;j++)    /* fprintf(fichtm, "#Local time at start: %s", strstart);*/
           fprintf(ficresf," %.3f",probs[(int)agedeb][j][cptcod]);    fprintf(fichtm,"\n<li><h4> Computing probabilities of dying over estepm months as a weighted average (i.e global mortality independent of initial healh state)</h4></li>\n");
         }      fprintf(fichtm,"\n<br>%s  <br>\n",digitp);
   /*   } */
        for(j=1; j<=ndeath;j++) fprintf(ficresf," 0.00000");    varppt = matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
        if (popforecast==1) fprintf(ficresf," [%.f] ",popeffectif[(int)agedeb]);    pstamp(ficresvij);
       }    fprintf(ficresvij,"# Variance and covariance of health expectancies e.j \n#  (weighted average of eij where weights are ");
          if(popbased==1)
       for (cpt=1; cpt<=nforecast;cpt++) {      fprintf(ficresvij,"the age specific prevalence observed (cross-sectionally) in the population i.e cross-sectionally\n in each health state (popbased=1) (mobilav=%d\n",mobilav);
         fprintf(ficresf,"\n");    else
       for (agedeb=fage; agedeb>=bage; agedeb--){ /* If stepm=6 months */      fprintf(ficresvij,"the age specific period (stable) prevalences in each health state \n");
         nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm);    fprintf(ficresvij,"# Age");
         nhstepm = nhstepm/hstepm;    for(i=1; i<=nlstate;i++)
         /*printf("agedeb=%.lf stepm=%d hstepm=%d nhstepm=%d \n",agedeb,stepm,hstepm,nhstepm);*/      for(j=1; j<=nlstate;j++)
         fprintf(ficresvij," Cov(e.%1d, e.%1d)",i,j);
         p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);    fprintf(ficresvij,"\n");
         oldm=oldms;savm=savms;  
         hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);      xp=vector(1,npar);
                    dnewm=matrix(1,nlstate,1,npar);
         for (h=0; h<=nhstepm; h++){    doldm=matrix(1,nlstate,1,nlstate);
            dnewmp= matrix(nlstate+1,nlstate+ndeath,1,npar);
          if (h*hstepm/YEARM*stepm==cpt)    doldmp= matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
             fprintf(ficresf,"\n%.f %.f %.f",agedeb, agedeb+ h*hstepm/YEARM*stepm, h*hstepm/YEARM*stepm);  
              gradgp=matrix(1,npar,nlstate+1,nlstate+ndeath);
              gpp=vector(nlstate+1,nlstate+ndeath);
          for(j=1; j<=nlstate+ndeath;j++) {    gmp=vector(nlstate+1,nlstate+ndeath);
            kk1=0.;kk2=0;    trgradgp =matrix(nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
            for(i=1; i<=nlstate;i++) {            
              if (mobilav==1)    if(estepm < stepm){
                 kk1=kk1+p3mat[i][j][h]*mobaverage[(int)agedeb][i][cptcod];      printf ("Problem %d lower than %d\n",estepm, stepm);
              else kk1=kk1+p3mat[i][j][h]*probs[(int)agedeb][i][cptcod];    }
              if (popforecast==1) kk2=kk1*popeffectif[(int)agedeb];    else  hstepm=estepm;   
             }    /* For example we decided to compute the life expectancy with the smallest unit */
            if (h*hstepm/YEARM*stepm==cpt) {    /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
              fprintf(ficresf," %.3f", kk1);       nhstepm is the number of hstepm from age to agelim 
                if (popforecast==1) fprintf(ficresf," [%.f]", kk2);       nstepm is the number of stepm from age to agelin. 
            }       Look at function hpijx to understand why (it is linked to memory size questions) */
           }    /* 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
         free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);       means that if the survival funtion is printed every two years of age and if
               you sum them up and add 1 year (area under the trapezoids) you won't get the same 
       }       results. So we changed our mind and took the option of the best precision.
       }    */
     }    hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
   }    agelim = AGESUP;
   if (mobilav==1) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);    for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
   if (popforecast==1) {      nstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
     free_ivector(popage,0,AGESUP);      nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
     free_vector(popeffectif,0,AGESUP);      p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
     free_vector(popcount,0,AGESUP);      gradg=ma3x(0,nhstepm,1,npar,1,nlstate);
   }      gp=matrix(0,nhstepm,1,nlstate);
   free_imatrix(s,1,maxwav+1,1,n);      gm=matrix(0,nhstepm,1,nlstate);
   free_vector(weight,1,n);  
   fclose(ficresf);  
   /*---------- Health expectancies and variances ------------*/      for(theta=1; theta <=npar; theta++){
         for(i=1; i<=npar; i++){ /* Computes gradient x + delta*/
   strcpy(filerest,"t");          xp[i] = x[i] + (i==theta ?delti[theta]:0);
   strcat(filerest,fileres);        }
   if((ficrest=fopen(filerest,"w"))==NULL) {        hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);  
     printf("Problem with total LE resultfile: %s\n", filerest);goto end;        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);
   }  
   printf("Computing Total LEs with variances: file '%s' \n", filerest);        if (popbased==1) {
           if(mobilav ==0){
             for(i=1; i<=nlstate;i++)
   strcpy(filerese,"e");              prlim[i][i]=probs[(int)age][i][ij];
   strcat(filerese,fileres);          }else{ /* mobilav */ 
   if((ficreseij=fopen(filerese,"w"))==NULL) {            for(i=1; i<=nlstate;i++)
     printf("Problem with Health Exp. resultfile: %s\n", filerese); exit(0);              prlim[i][i]=mobaverage[(int)age][i][ij];
   }          }
   printf("Computing Health Expectancies: result on file '%s' \n", filerese);        }
     
  strcpy(fileresv,"v");        for(j=1; j<= nlstate; j++){
   strcat(fileresv,fileres);          for(h=0; h<=nhstepm; h++){
   if((ficresvij=fopen(fileresv,"w"))==NULL) {            for(i=1, gp[h][j]=0.;i<=nlstate;i++)
     printf("Problem with variance resultfile: %s\n", fileresv);exit(0);              gp[h][j] += prlim[i][i]*p3mat[i][j][h];
   }          }
   printf("Computing Variance-covariance of DFLEs: file '%s' \n", fileresv);        }
         /* This for computing probability of death (h=1 means
   k=0;           computed over hstepm matrices product = hstepm*stepm months) 
   for(cptcov=1;cptcov<=i1;cptcov++){           as a weighted average of prlim.
     for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){        */
       k=k+1;        for(j=nlstate+1;j<=nlstate+ndeath;j++){
       fprintf(ficrest,"\n#****** ");          for(i=1,gpp[j]=0.; i<= nlstate; i++)
       for(j=1;j<=cptcoveff;j++)            gpp[j] += prlim[i][i]*p3mat[i][j][1];
         fprintf(ficrest,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);        }    
       fprintf(ficrest,"******\n");        /* end probability of death */
   
       fprintf(ficreseij,"\n#****** ");        for(i=1; i<=npar; i++) /* Computes gradient x - delta */
       for(j=1;j<=cptcoveff;j++)          xp[i] = x[i] - (i==theta ?delti[theta]:0);
         fprintf(ficreseij,"V%d=%d ",j,nbcode[j][codtab[k][j]]);        hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);  
       fprintf(ficreseij,"******\n");        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);
    
       fprintf(ficresvij,"\n#****** ");        if (popbased==1) {
       for(j=1;j<=cptcoveff;j++)          if(mobilav ==0){
         fprintf(ficresvij,"V%d=%d ",j,nbcode[j][codtab[k][j]]);            for(i=1; i<=nlstate;i++)
       fprintf(ficresvij,"******\n");              prlim[i][i]=probs[(int)age][i][ij];
           }else{ /* mobilav */ 
       eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);            for(i=1; i<=nlstate;i++)
       oldm=oldms;savm=savms;              prlim[i][i]=mobaverage[(int)age][i][ij];
       evsij(fileres, eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k);            }
       vareij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);        }
       oldm=oldms;savm=savms;  
       varevsij(fileres, vareij, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k);        for(j=1; j<= nlstate; j++){  /* Sum of wi * eij = e.j */
                for(h=0; h<=nhstepm; h++){
       fprintf(ficrest,"#Total LEs with variances: e.. (std) ");            for(i=1, gm[h][j]=0.;i<=nlstate;i++)
       for (i=1;i<=nlstate;i++) fprintf(ficrest,"e.%d (std) ",i);              gm[h][j] += prlim[i][i]*p3mat[i][j][h];
       fprintf(ficrest,"\n");          }
                }
       hf=1;        /* This for computing probability of death (h=1 means
       if (stepm >= YEARM) hf=stepm/YEARM;           computed over hstepm matrices product = hstepm*stepm months) 
       epj=vector(1,nlstate+1);           as a weighted average of prlim.
       for(age=bage; age <=fage ;age++){        */
         prevalim(prlim, nlstate, p, age, oldm, savm,ftolpl,k);        for(j=nlstate+1;j<=nlstate+ndeath;j++){
         if (popbased==1) {          for(i=1,gmp[j]=0.; i<= nlstate; i++)
           for(i=1; i<=nlstate;i++)           gmp[j] += prlim[i][i]*p3mat[i][j][1];
             prlim[i][i]=probs[(int)age][i][k];        }    
         }        /* end probability of death */
          
         fprintf(ficrest," %.0f",age);        for(j=1; j<= nlstate; j++) /* vareij */
         for(j=1, epj[nlstate+1]=0.;j <=nlstate;j++){          for(h=0; h<=nhstepm; h++){
           for(i=1, epj[j]=0.;i <=nlstate;i++) {            gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta];
             epj[j] += prlim[i][i]*hf*eij[i][j][(int)age];          }
           }  
           epj[nlstate+1] +=epj[j];        for(j=nlstate+1; j<= nlstate+ndeath; j++){ /* var mu */
         }          gradgp[theta][j]= (gpp[j]-gmp[j])/2./delti[theta];
         for(i=1, vepp=0.;i <=nlstate;i++)        }
           for(j=1;j <=nlstate;j++)  
             vepp += vareij[i][j][(int)age];      } /* End theta */
         fprintf(ficrest," %.2f (%.2f)", epj[nlstate+1],hf*sqrt(vepp));  
         for(j=1;j <=nlstate;j++){      trgradg =ma3x(0,nhstepm,1,nlstate,1,npar); /* veij */
           fprintf(ficrest," %.2f (%.2f)", epj[j],hf*sqrt(vareij[j][j][(int)age]));  
         }      for(h=0; h<=nhstepm; h++) /* veij */
         fprintf(ficrest,"\n");        for(j=1; j<=nlstate;j++)
       }          for(theta=1; theta <=npar; theta++)
     }            trgradg[h][j][theta]=gradg[h][theta][j];
   }  
              for(j=nlstate+1; j<=nlstate+ndeath;j++) /* mu */
                for(theta=1; theta <=npar; theta++)
           trgradgp[j][theta]=gradgp[theta][j];
     
  fclose(ficreseij);  
  fclose(ficresvij);      hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
   fclose(ficrest);      for(i=1;i<=nlstate;i++)
   fclose(ficpar);        for(j=1;j<=nlstate;j++)
   free_vector(epj,1,nlstate+1);          vareij[i][j][(int)age] =0.;
   /*  scanf("%d ",i); */  
       for(h=0;h<=nhstepm;h++){
   /*------- Variance limit prevalence------*/          for(k=0;k<=nhstepm;k++){
           matprod2(dnewm,trgradg[h],1,nlstate,1,npar,1,npar,matcov);
 strcpy(fileresvpl,"vpl");          matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg[k]);
   strcat(fileresvpl,fileres);          for(i=1;i<=nlstate;i++)
   if((ficresvpl=fopen(fileresvpl,"w"))==NULL) {            for(j=1;j<=nlstate;j++)
     printf("Problem with variance prev lim resultfile: %s\n", fileresvpl);              vareij[i][j][(int)age] += doldm[i][j]*hf*hf;
     exit(0);        }
   }      }
   printf("Computing Variance-covariance of Prevalence limit: file '%s' \n", fileresvpl);    
       /* pptj */
  k=0;      matprod2(dnewmp,trgradgp,nlstate+1,nlstate+ndeath,1,npar,1,npar,matcov);
  for(cptcov=1;cptcov<=i1;cptcov++){      matprod2(doldmp,dnewmp,nlstate+1,nlstate+ndeath,1,npar,nlstate+1,nlstate+ndeath,gradgp);
    for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){      for(j=nlstate+1;j<=nlstate+ndeath;j++)
      k=k+1;        for(i=nlstate+1;i<=nlstate+ndeath;i++)
      fprintf(ficresvpl,"\n#****** ");          varppt[j][i]=doldmp[j][i];
      for(j=1;j<=cptcoveff;j++)      /* end ppptj */
        fprintf(ficresvpl,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);      /*  x centered again */
      fprintf(ficresvpl,"******\n");      hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm,savm, ij);  
            prevalim(prlim,nlstate,x,age,oldm,savm,ftolpl,ij);
      varpl=matrix(1,nlstate,(int) bage, (int) fage);   
      oldm=oldms;savm=savms;      if (popbased==1) {
      varprevlim(fileres, varpl, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k);        if(mobilav ==0){
    }          for(i=1; i<=nlstate;i++)
  }            prlim[i][i]=probs[(int)age][i][ij];
         }else{ /* mobilav */ 
   fclose(ficresvpl);          for(i=1; i<=nlstate;i++)
             prlim[i][i]=mobaverage[(int)age][i][ij];
   /*---------- End : free ----------------*/        }
   free_matrix(varpl,1,nlstate,(int) bage, (int)fage);      }
                 
   free_ma3x(vareij,1,nlstate,1,nlstate,(int) bage, (int)fage);      /* This for computing probability of death (h=1 means
   free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);         computed over hstepm (estepm) matrices product = hstepm*stepm months) 
           as a weighted average of prlim.
        */
   free_matrix(pmmij,1,nlstate+ndeath,1,nlstate+ndeath);      for(j=nlstate+1;j<=nlstate+ndeath;j++){
   free_matrix(oldms, 1,nlstate+ndeath,1,nlstate+ndeath);        for(i=1,gmp[j]=0.;i<= nlstate; i++) 
   free_matrix(newms, 1,nlstate+ndeath,1,nlstate+ndeath);          gmp[j] += prlim[i][i]*p3mat[i][j][1]; 
   free_matrix(savms, 1,nlstate+ndeath,1,nlstate+ndeath);      }    
        /* end probability of death */
   free_matrix(matcov,1,npar,1,npar);  
   free_vector(delti,1,npar);      fprintf(ficresprobmorprev,"%3d %d ",(int) age, ij);
        for(j=nlstate+1; j<=(nlstate+ndeath);j++){
   free_ma3x(param,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel);        fprintf(ficresprobmorprev," %11.3e %11.3e",gmp[j], sqrt(varppt[j][j]));
         for(i=1; i<=nlstate;i++){
   printf("End of Imach\n");          fprintf(ficresprobmorprev," %11.3e %11.3e ",prlim[i][i],p3mat[i][j][1]);
   /*  gettimeofday(&end_time, (struct timezone*)0);*/  /* after time */        }
        } 
   /* printf("Total time was %d Sec. %d uSec.\n", end_time.tv_sec -start_time.tv_sec, end_time.tv_usec -start_time.tv_usec);*/      fprintf(ficresprobmorprev,"\n");
   /*printf("Total time was %d uSec.\n", total_usecs);*/  
   /*------ End -----------*/      fprintf(ficresvij,"%.0f ",age );
       for(i=1; i<=nlstate;i++)
         for(j=1; j<=nlstate;j++){
  end:          fprintf(ficresvij," %.4f", vareij[i][j][(int)age]);
 #ifdef windows        }
  chdir(pathcd);      fprintf(ficresvij,"\n");
 #endif      free_matrix(gp,0,nhstepm,1,nlstate);
        free_matrix(gm,0,nhstepm,1,nlstate);
  system("..\\gp37mgw\\wgnuplot graph.plt");      free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate);
       free_ma3x(trgradg,0,nhstepm,1,nlstate,1,npar);
 #ifdef windows      free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
   while (z[0] != 'q') {    } /* End age */
     chdir(pathcd);    free_vector(gpp,nlstate+1,nlstate+ndeath);
     printf("\nType e to edit output files, c to start again, and q for exiting: ");    free_vector(gmp,nlstate+1,nlstate+ndeath);
     scanf("%s",z);    free_matrix(gradgp,1,npar,nlstate+1,nlstate+ndeath);
     if (z[0] == 'c') system("./imach");    free_matrix(trgradgp,nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
     else if (z[0] == 'e') {    fprintf(ficgp,"\nunset parametric;unset label; set ter png small;set size 0.65, 0.65");
       chdir(path);    /* for(j=nlstate+1; j<= nlstate+ndeath; j++){ *//* Only the first actually */
       system(optionfilehtm);    fprintf(ficgp,"\n set log y; unset log x;set xlabel \"Age\"; set ylabel \"Force of mortality (year-1)\";");
     }  /*   fprintf(ficgp,"\n plot \"%s\"  u 1:($3*%6.3f) not w l 1 ",fileresprobmorprev,YEARM/estepm); */
     else if (z[0] == 'q') exit(0);  /*   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)*%6.3f) t \"95\%% interval\" w l 2 ",fileresprobmorprev,YEARM/estepm); */
   }  /*   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)*%6.3f) not w l 2 ",fileresprobmorprev,YEARM/estepm); */
 #endif    fprintf(ficgp,"\n plot \"%s\"  u 1:($3) not w l 1 ",subdirf(fileresprobmorprev));
 }    fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)) t \"95\%% interval\" w l 2 ",subdirf(fileresprobmorprev));
     fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)) not w l 2 ",subdirf(fileresprobmorprev));
     fprintf(fichtm,"\n<br> File (multiple files are possible if covariates are present): <A href=\"%s\">%s</a>\n",subdirf(fileresprobmorprev),subdirf(fileresprobmorprev));
     fprintf(fichtm,"\n<br> Probability is computed over estepm=%d months. <br> <img src=\"%s%s.png\"> <br>\n", estepm,subdirf3(optionfilefiname,"varmuptjgr",digitp),digit);
     /*  fprintf(fichtm,"\n<br> Probability is computed over estepm=%d months and then divided by estepm and multiplied by %.0f in order to have the probability to die over a year <br> <img src=\"varmuptjgr%s%s.png\"> <br>\n", stepm,YEARM,digitp,digit);
   */
   /*   fprintf(ficgp,"\nset out \"varmuptjgr%s%s%s.png\";replot;",digitp,optionfilefiname,digit); */
     fprintf(ficgp,"\nset out \"%s%s.png\";replot;\n",subdirf3(optionfilefiname,"varmuptjgr",digitp),digit);
   
     free_vector(xp,1,npar);
     free_matrix(doldm,1,nlstate,1,nlstate);
     free_matrix(dnewm,1,nlstate,1,npar);
     free_matrix(doldmp,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
     free_matrix(dnewmp,nlstate+1,nlstate+ndeath,1,npar);
     free_matrix(varppt,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
     if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
     fclose(ficresprobmorprev);
     fflush(ficgp);
     fflush(fichtm); 
   }  /* end varevsij */
   
   /************ Variance of prevlim ******************/
   void varprevlim(char fileres[], double **varpl, double **matcov, double x[], double delti[], int nlstate, int stepm, double bage, double fage, double **oldm, double **savm, double **prlim, double ftolpl, int ij, char strstart[])
   {
     /* Variance of prevalence limit */
     /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double **savm,double ftolpl);*/
     double **newm;
     double **dnewm,**doldm;
     int i, j, nhstepm, hstepm;
     int k, cptcode;
     double *xp;
     double *gp, *gm;
     double **gradg, **trgradg;
     double age,agelim;
     int theta;
     
     pstamp(ficresvpl);
     fprintf(ficresvpl,"# Standard deviation of period (stable) prevalences \n");
     fprintf(ficresvpl,"# Age");
     for(i=1; i<=nlstate;i++)
         fprintf(ficresvpl," %1d-%1d",i,i);
     fprintf(ficresvpl,"\n");
   
     xp=vector(1,npar);
     dnewm=matrix(1,nlstate,1,npar);
     doldm=matrix(1,nlstate,1,nlstate);
     
     hstepm=1*YEARM; /* Every year of age */
     hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */ 
     agelim = AGESUP;
     for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
       nhstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
       if (stepm >= YEARM) hstepm=1;
       nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
       gradg=matrix(1,npar,1,nlstate);
       gp=vector(1,nlstate);
       gm=vector(1,nlstate);
   
       for(theta=1; theta <=npar; theta++){
         for(i=1; i<=npar; i++){ /* Computes gradient */
           xp[i] = x[i] + (i==theta ?delti[theta]:0);
         }
         prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);
         for(i=1;i<=nlstate;i++)
           gp[i] = prlim[i][i];
       
         for(i=1; i<=npar; i++) /* Computes gradient */
           xp[i] = x[i] - (i==theta ?delti[theta]:0);
         prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);
         for(i=1;i<=nlstate;i++)
           gm[i] = prlim[i][i];
   
         for(i=1;i<=nlstate;i++)
           gradg[theta][i]= (gp[i]-gm[i])/2./delti[theta];
       } /* End theta */
   
       trgradg =matrix(1,nlstate,1,npar);
   
       for(j=1; j<=nlstate;j++)
         for(theta=1; theta <=npar; theta++)
           trgradg[j][theta]=gradg[theta][j];
   
       for(i=1;i<=nlstate;i++)
         varpl[i][(int)age] =0.;
       matprod2(dnewm,trgradg,1,nlstate,1,npar,1,npar,matcov);
       matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg);
       for(i=1;i<=nlstate;i++)
         varpl[i][(int)age] = doldm[i][i]; /* Covariances are useless */
   
       fprintf(ficresvpl,"%.0f ",age );
       for(i=1; i<=nlstate;i++)
         fprintf(ficresvpl," %.5f (%.5f)",prlim[i][i],sqrt(varpl[i][(int)age]));
       fprintf(ficresvpl,"\n");
       free_vector(gp,1,nlstate);
       free_vector(gm,1,nlstate);
       free_matrix(gradg,1,npar,1,nlstate);
       free_matrix(trgradg,1,nlstate,1,npar);
     } /* End age */
   
     free_vector(xp,1,npar);
     free_matrix(doldm,1,nlstate,1,npar);
     free_matrix(dnewm,1,nlstate,1,nlstate);
   
   }
   
   /************ Variance of one-step probabilities  ******************/
   void varprob(char optionfilefiname[], double **matcov, double x[], double delti[], int nlstate, double bage, double fage, int ij, int *Tvar, int **nbcode, int *ncodemax, char strstart[])
   {
     int i, j=0,  i1, k1, l1, t, tj;
     int k2, l2, j1,  z1;
     int k=0,l, cptcode;
     int first=1, first1;
     double cv12, mu1, mu2, lc1, lc2, v12, v21, v11, v22,v1,v2, c12, tnalp;
     double **dnewm,**doldm;
     double *xp;
     double *gp, *gm;
     double **gradg, **trgradg;
     double **mu;
     double age,agelim, cov[NCOVMAX];
     double std=2.0; /* Number of standard deviation wide of confidence ellipsoids */
     int theta;
     char fileresprob[FILENAMELENGTH];
     char fileresprobcov[FILENAMELENGTH];
     char fileresprobcor[FILENAMELENGTH];
   
     double ***varpij;
   
     strcpy(fileresprob,"prob"); 
     strcat(fileresprob,fileres);
     if((ficresprob=fopen(fileresprob,"w"))==NULL) {
       printf("Problem with resultfile: %s\n", fileresprob);
       fprintf(ficlog,"Problem with resultfile: %s\n", fileresprob);
     }
     strcpy(fileresprobcov,"probcov"); 
     strcat(fileresprobcov,fileres);
     if((ficresprobcov=fopen(fileresprobcov,"w"))==NULL) {
       printf("Problem with resultfile: %s\n", fileresprobcov);
       fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcov);
     }
     strcpy(fileresprobcor,"probcor"); 
     strcat(fileresprobcor,fileres);
     if((ficresprobcor=fopen(fileresprobcor,"w"))==NULL) {
       printf("Problem with resultfile: %s\n", fileresprobcor);
       fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcor);
     }
     printf("Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);
     fprintf(ficlog,"Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);
     printf("Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);
     fprintf(ficlog,"Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);
     printf("and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);
     fprintf(ficlog,"and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);
     pstamp(ficresprob);
     fprintf(ficresprob,"#One-step probabilities and stand. devi in ()\n");
     fprintf(ficresprob,"# Age");
     pstamp(ficresprobcov);
     fprintf(ficresprobcov,"#One-step probabilities and covariance matrix\n");
     fprintf(ficresprobcov,"# Age");
     pstamp(ficresprobcor);
     fprintf(ficresprobcor,"#One-step probabilities and correlation matrix\n");
     fprintf(ficresprobcor,"# Age");
   
   
     for(i=1; i<=nlstate;i++)
       for(j=1; j<=(nlstate+ndeath);j++){
         fprintf(ficresprob," p%1d-%1d (SE)",i,j);
         fprintf(ficresprobcov," p%1d-%1d ",i,j);
         fprintf(ficresprobcor," p%1d-%1d ",i,j);
       }  
    /* fprintf(ficresprob,"\n");
     fprintf(ficresprobcov,"\n");
     fprintf(ficresprobcor,"\n");
    */
     xp=vector(1,npar);
     dnewm=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);
     doldm=matrix(1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath));
     mu=matrix(1,(nlstate)*(nlstate+ndeath), (int) bage, (int)fage);
     varpij=ma3x(1,nlstate*(nlstate+ndeath),1,nlstate*(nlstate+ndeath),(int) bage, (int) fage);
     first=1;
     fprintf(ficgp,"\n# Routine varprob");
     fprintf(fichtm,"\n<li><h4> Computing and drawing one step probabilities with their confidence intervals</h4></li>\n");
     fprintf(fichtm,"\n");
   
     fprintf(fichtm,"\n<li><h4> <a href=\"%s\">Matrix of variance-covariance of pairs of step probabilities (drawings)</a></h4></li>\n",optionfilehtmcov);
     fprintf(fichtmcov,"\n<h4>Matrix of variance-covariance of pairs of step probabilities</h4>\n\
     file %s<br>\n",optionfilehtmcov);
     fprintf(fichtmcov,"\nEllipsoids of confidence centered on point (p<inf>ij</inf>, p<inf>kl</inf>) are estimated\
   and drawn. It helps understanding how is the covariance between two incidences.\
    They are expressed in year<sup>-1</sup> in order to be less dependent of stepm.<br>\n");
     fprintf(fichtmcov,"\n<br> Contour plot corresponding to x'cov<sup>-1</sup>x = 4 (where x is the column vector (pij,pkl)) are drawn. \
   It can be understood this way: if pij and pkl where uncorrelated the (2x2) matrix of covariance \
   would have been (1/(var pij), 0 , 0, 1/(var pkl)), and the confidence interval would be 2 \
   standard deviations wide on each axis. <br>\
    Now, if both incidences are correlated (usual case) we diagonalised the inverse of the covariance matrix\
    and made the appropriate rotation to look at the uncorrelated principal directions.<br>\
   To be simple, these graphs help to understand the significativity of each parameter in relation to a second other one.<br> \n");
   
     cov[1]=1;
     tj=cptcoveff;
     if (cptcovn<1) {tj=1;ncodemax[1]=1;}
     j1=0;
     for(t=1; t<=tj;t++){
       for(i1=1; i1<=ncodemax[t];i1++){ 
         j1++;
         if  (cptcovn>0) {
           fprintf(ficresprob, "\n#********** Variable "); 
           for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprob, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
           fprintf(ficresprob, "**********\n#\n");
           fprintf(ficresprobcov, "\n#********** Variable "); 
           for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcov, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
           fprintf(ficresprobcov, "**********\n#\n");
           
           fprintf(ficgp, "\n#********** Variable "); 
           for (z1=1; z1<=cptcoveff; z1++) fprintf(ficgp, " V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
           fprintf(ficgp, "**********\n#\n");
           
           
           fprintf(fichtmcov, "\n<hr  size=\"2\" color=\"#EC5E5E\">********** Variable "); 
           for (z1=1; z1<=cptcoveff; z1++) fprintf(fichtm, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
           fprintf(fichtmcov, "**********\n<hr size=\"2\" color=\"#EC5E5E\">");
           
           fprintf(ficresprobcor, "\n#********** Variable ");    
           for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcor, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
           fprintf(ficresprobcor, "**********\n#");    
         }
         
         for (age=bage; age<=fage; age ++){ 
           cov[2]=age;
           for (k=1; k<=cptcovn;k++) {
             cov[2+k]=nbcode[Tvar[k]][codtab[j1][Tvar[k]]];
           }
           for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2];
           for (k=1; k<=cptcovprod;k++)
             cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]]*nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]];
           
           gradg=matrix(1,npar,1,(nlstate)*(nlstate+ndeath));
           trgradg=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);
           gp=vector(1,(nlstate)*(nlstate+ndeath));
           gm=vector(1,(nlstate)*(nlstate+ndeath));
       
           for(theta=1; theta <=npar; theta++){
             for(i=1; i<=npar; i++)
               xp[i] = x[i] + (i==theta ?delti[theta]:(double)0);
             
             pmij(pmmij,cov,ncovmodel,xp,nlstate);
             
             k=0;
             for(i=1; i<= (nlstate); i++){
               for(j=1; j<=(nlstate+ndeath);j++){
                 k=k+1;
                 gp[k]=pmmij[i][j];
               }
             }
             
             for(i=1; i<=npar; i++)
               xp[i] = x[i] - (i==theta ?delti[theta]:(double)0);
       
             pmij(pmmij,cov,ncovmodel,xp,nlstate);
             k=0;
             for(i=1; i<=(nlstate); i++){
               for(j=1; j<=(nlstate+ndeath);j++){
                 k=k+1;
                 gm[k]=pmmij[i][j];
               }
             }
        
             for(i=1; i<= (nlstate)*(nlstate+ndeath); i++) 
               gradg[theta][i]=(gp[i]-gm[i])/(double)2./delti[theta];  
           }
   
           for(j=1; j<=(nlstate)*(nlstate+ndeath);j++)
             for(theta=1; theta <=npar; theta++)
               trgradg[j][theta]=gradg[theta][j];
           
           matprod2(dnewm,trgradg,1,(nlstate)*(nlstate+ndeath),1,npar,1,npar,matcov); 
           matprod2(doldm,dnewm,1,(nlstate)*(nlstate+ndeath),1,npar,1,(nlstate)*(nlstate+ndeath),gradg);
           free_vector(gp,1,(nlstate+ndeath)*(nlstate+ndeath));
           free_vector(gm,1,(nlstate+ndeath)*(nlstate+ndeath));
           free_matrix(trgradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);
           free_matrix(gradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);
   
           pmij(pmmij,cov,ncovmodel,x,nlstate);
           
           k=0;
           for(i=1; i<=(nlstate); i++){
             for(j=1; j<=(nlstate+ndeath);j++){
               k=k+1;
               mu[k][(int) age]=pmmij[i][j];
             }
           }
           for(i=1;i<=(nlstate)*(nlstate+ndeath);i++)
             for(j=1;j<=(nlstate)*(nlstate+ndeath);j++)
               varpij[i][j][(int)age] = doldm[i][j];
   
           /*printf("\n%d ",(int)age);
             for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){
             printf("%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));
             fprintf(ficlog,"%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));
             }*/
   
           fprintf(ficresprob,"\n%d ",(int)age);
           fprintf(ficresprobcov,"\n%d ",(int)age);
           fprintf(ficresprobcor,"\n%d ",(int)age);
   
           for (i=1; i<=(nlstate)*(nlstate+ndeath);i++)
             fprintf(ficresprob,"%11.3e (%11.3e) ",mu[i][(int) age],sqrt(varpij[i][i][(int)age]));
           for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){
             fprintf(ficresprobcov,"%11.3e ",mu[i][(int) age]);
             fprintf(ficresprobcor,"%11.3e ",mu[i][(int) age]);
           }
           i=0;
           for (k=1; k<=(nlstate);k++){
             for (l=1; l<=(nlstate+ndeath);l++){ 
               i=i++;
               fprintf(ficresprobcov,"\n%d %d-%d",(int)age,k,l);
               fprintf(ficresprobcor,"\n%d %d-%d",(int)age,k,l);
               for (j=1; j<=i;j++){
                 fprintf(ficresprobcov," %11.3e",varpij[i][j][(int)age]);
                 fprintf(ficresprobcor," %11.3e",varpij[i][j][(int) age]/sqrt(varpij[i][i][(int) age])/sqrt(varpij[j][j][(int)age]));
               }
             }
           }/* end of loop for state */
         } /* end of loop for age */
   
         /* Confidence intervalle of pij  */
         /*
           fprintf(ficgp,"\nunset parametric;unset label");
           fprintf(ficgp,"\nset log y;unset log x; set xlabel \"Age\";set ylabel \"probability (year-1)\"");
           fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65");
           fprintf(fichtm,"\n<br>Probability with  confidence intervals expressed in year<sup>-1</sup> :<a href=\"pijgr%s.png\">pijgr%s.png</A>, ",optionfilefiname,optionfilefiname);
           fprintf(fichtm,"\n<br><img src=\"pijgr%s.png\"> ",optionfilefiname);
           fprintf(ficgp,"\nset out \"pijgr%s.png\"",optionfilefiname);
           fprintf(ficgp,"\nplot \"%s\" every :::%d::%d u 1:2 \"\%%lf",k1,k2,xfilevarprob);
         */
   
         /* Drawing ellipsoids of confidence of two variables p(k1-l1,k2-l2)*/
         first1=1;
         for (k2=1; k2<=(nlstate);k2++){
           for (l2=1; l2<=(nlstate+ndeath);l2++){ 
             if(l2==k2) continue;
             j=(k2-1)*(nlstate+ndeath)+l2;
             for (k1=1; k1<=(nlstate);k1++){
               for (l1=1; l1<=(nlstate+ndeath);l1++){ 
                 if(l1==k1) continue;
                 i=(k1-1)*(nlstate+ndeath)+l1;
                 if(i<=j) continue;
                 for (age=bage; age<=fage; age ++){ 
                   if ((int)age %5==0){
                     v1=varpij[i][i][(int)age]/stepm*YEARM/stepm*YEARM;
                     v2=varpij[j][j][(int)age]/stepm*YEARM/stepm*YEARM;
                     cv12=varpij[i][j][(int)age]/stepm*YEARM/stepm*YEARM;
                     mu1=mu[i][(int) age]/stepm*YEARM ;
                     mu2=mu[j][(int) age]/stepm*YEARM;
                     c12=cv12/sqrt(v1*v2);
                     /* Computing eigen value of matrix of covariance */
                     lc1=((v1+v2)+sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                     lc2=((v1+v2)-sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                     if ((lc2 <0) || (lc1 <0) ){
                       printf("Error: One eigen value of 2x2 matrix of covariance is negative, lc1=%11.3e, lc2=%11.3e, v1=%11.3e, v2=%11.3e, cv12=%11.3e.\n It means that the matrix was not well estimated (varpij), for i=%2d, j=%2d, age=%4d .\n See files %s and %s. Continuing by making them positive: WRONG RESULTS.\n", lc1, lc2, v1, v2, cv12, i, j, (int)age,fileresprobcov, fileresprobcor);
                       fprintf(ficlog,"Error: One eigen value of 2x2 matrix of covariance is negative, lc1=%11.3e, lc2=%11.3e, v1=%11.3e, v2=%11.3e, cv12=%11.3e\n", lc1, lc2, v1, v2, cv12);fflush(ficlog);
                       lc1=fabs(lc1);
                       lc2=fabs(lc2);
                     }
   
                     /* Eigen vectors */
                     v11=(1./sqrt(1+(v1-lc1)*(v1-lc1)/cv12/cv12));
                     /*v21=sqrt(1.-v11*v11); *//* error */
                     v21=(lc1-v1)/cv12*v11;
                     v12=-v21;
                     v22=v11;
                     tnalp=v21/v11;
                     if(first1==1){
                       first1=0;
                       printf("%d %d%d-%d%d mu %.4e %.4e Var %.4e %.4e cor %.3f cov %.4e Eig %.3e %.3e 1stv %.3f %.3f tang %.3f\nOthers in log...\n",(int) age,k1,l1,k2,l2,mu1,mu2,v1,v2,c12,cv12,lc1,lc2,v11,v21,tnalp);
                     }
                     fprintf(ficlog,"%d %d%d-%d%d mu %.4e %.4e Var %.4e %.4e cor %.3f cov %.4e Eig %.3e %.3e 1stv %.3f %.3f tan %.3f\n",(int) age,k1,l1,k2,l2,mu1,mu2,v1,v2,c12,cv12,lc1,lc2,v11,v21,tnalp);
                     /*printf(fignu*/
                     /* mu1+ v11*lc1*cost + v12*lc2*sin(t) */
                     /* mu2+ v21*lc1*cost + v22*lc2*sin(t) */
                     if(first==1){
                       first=0;
                       fprintf(ficgp,"\nset parametric;unset label");
                       fprintf(ficgp,"\nset log y;set log x; set xlabel \"p%1d%1d (year-1)\";set ylabel \"p%1d%1d (year-1)\"",k1,l1,k2,l2);
                       fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65");
                       fprintf(fichtmcov,"\n<br>Ellipsoids of confidence cov(p%1d%1d,p%1d%1d) expressed in year<sup>-1</sup>\
    :<a href=\"%s%d%1d%1d-%1d%1d.png\">\
   %s%d%1d%1d-%1d%1d.png</A>, ",k1,l1,k2,l2,\
                               subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2,\
                               subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2);
                       fprintf(fichtmcov,"\n<br><img src=\"%s%d%1d%1d-%1d%1d.png\"> ",subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2);
                       fprintf(fichtmcov,"\n<br> Correlation at age %d (%.3f),",(int) age, c12);
                       fprintf(ficgp,"\nset out \"%s%d%1d%1d-%1d%1d.png\"",subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2);
                       fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);
                       fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);
                       fprintf(ficgp,"\nplot [-pi:pi] %11.3e+ %.3f*(%11.3e*%11.3e*cos(t)+%11.3e*%11.3e*sin(t)), %11.3e +%.3f*(%11.3e*%11.3e*cos(t)+%11.3e*%11.3e*sin(t)) not",\
                               mu1,std,v11,sqrt(lc1),v12,sqrt(lc2),\
                               mu2,std,v21,sqrt(lc1),v22,sqrt(lc2));
                     }else{
                       first=0;
                       fprintf(fichtmcov," %d (%.3f),",(int) age, c12);
                       fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);
                       fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);
                       fprintf(ficgp,"\nreplot %11.3e+ %.3f*(%11.3e*%11.3e*cos(t)+%11.3e*%11.3e*sin(t)), %11.3e +%.3f*(%11.3e*%11.3e*cos(t)+%11.3e*%11.3e*sin(t)) not",\
                               mu1,std,v11,sqrt(lc1),v12,sqrt(lc2),\
                               mu2,std,v21,sqrt(lc1),v22,sqrt(lc2));
                     }/* if first */
                   } /* age mod 5 */
                 } /* end loop age */
                 fprintf(ficgp,"\nset out \"%s%d%1d%1d-%1d%1d.png\";replot;",subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2);
                 first=1;
               } /*l12 */
             } /* k12 */
           } /*l1 */
         }/* k1 */
       } /* loop covariates */
     }
     free_ma3x(varpij,1,nlstate,1,nlstate+ndeath,(int) bage, (int)fage);
     free_matrix(mu,1,(nlstate+ndeath)*(nlstate+ndeath),(int) bage, (int)fage);
     free_matrix(doldm,1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath));
     free_matrix(dnewm,1,(nlstate)*(nlstate+ndeath),1,npar);
     free_vector(xp,1,npar);
     fclose(ficresprob);
     fclose(ficresprobcov);
     fclose(ficresprobcor);
     fflush(ficgp);
     fflush(fichtmcov);
   }
   
   
   /******************* Printing html file ***********/
   void printinghtml(char fileres[], char title[], char datafile[], int firstpass, \
                     int lastpass, int stepm, int weightopt, char model[],\
                     int imx,int jmin, int jmax, double jmeanint,char rfileres[],\
                     int popforecast, int estepm ,\
                     double jprev1, double mprev1,double anprev1, \
                     double jprev2, double mprev2,double anprev2){
     int jj1, k1, i1, cpt;
   
      fprintf(fichtm,"<ul><li><a href='#firstorder'>Result files (first order: no variance)</a>\n \
      <li><a href='#secondorder'>Result files (second order (variance)</a>\n \
   </ul>");
      fprintf(fichtm,"<ul><li><h4><a name='firstorder'>Result files (first order: no variance)</a></h4>\n \
    - Observed prevalence in each state (during the period defined between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf): <a href=\"%s\">%s</a> <br>\n ",
              jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,subdirf2(fileres,"p"),subdirf2(fileres,"p"));
      fprintf(fichtm,"\
    - Estimated transition probabilities over %d (stepm) months: <a href=\"%s\">%s</a><br>\n ",
              stepm,subdirf2(fileres,"pij"),subdirf2(fileres,"pij"));
      fprintf(fichtm,"\
    - Period (stable) prevalence in each health state: <a href=\"%s\">%s</a> <br>\n",
              subdirf2(fileres,"pl"),subdirf2(fileres,"pl"));
      fprintf(fichtm,"\
    - (a) Life expectancies by health status at initial age, ei. (b) health expectancies by health status at initial age, eij . If one or more covariates are included, specific tables for each value of the covariate are output in sequences within the same file (estepm=%2d months): \
      <a href=\"%s\">%s</a> <br>\n",
              estepm,subdirf2(fileres,"e"),subdirf2(fileres,"e"));
      fprintf(fichtm,"\
    - Population projections by age and states: \
      <a href=\"%s\">%s</a> <br>\n</li>", subdirf2(fileres,"f"),subdirf2(fileres,"f"));
   
   fprintf(fichtm," \n<ul><li><b>Graphs</b></li><p>");
   
    m=cptcoveff;
    if (cptcovn < 1) {m=1;ncodemax[1]=1;}
   
    jj1=0;
    for(k1=1; k1<=m;k1++){
      for(i1=1; i1<=ncodemax[k1];i1++){
        jj1++;
        if (cptcovn > 0) {
          fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");
          for (cpt=1; cpt<=cptcoveff;cpt++) 
            fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtab[jj1][cpt]]);
          fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");
        }
        /* Pij */
        fprintf(fichtm,"<br>- Pij or Conditional probabilities to be observed in state j being in state i, %d (stepm) months before: <a href=\"%s%d1.png\">%s%d1.png</a><br> \
   <img src=\"%s%d1.png\">",stepm,subdirf2(optionfilefiname,"pe"),jj1,subdirf2(optionfilefiname,"pe"),jj1,subdirf2(optionfilefiname,"pe"),jj1);     
        /* Quasi-incidences */
        fprintf(fichtm,"<br>- Pij or Conditional probabilities to be observed in state j being in state i %d (stepm) months\
    before but expressed in per year i.e. quasi incidences if stepm is small and probabilities too: <a href=\"%s%d2.png\">%s%d2.png</a><br> \
   <img src=\"%s%d2.png\">",stepm,subdirf2(optionfilefiname,"pe"),jj1,subdirf2(optionfilefiname,"pe"),jj1,subdirf2(optionfilefiname,"pe"),jj1); 
          /* Period (stable) prevalence in each health state */
          for(cpt=1; cpt<nlstate;cpt++){
            fprintf(fichtm,"<br>- Period (stable) prevalence in each health state : <a href=\"%s%d%d.png\">%s%d%d.png</a><br> \
   <img src=\"%s%d%d.png\">",subdirf2(optionfilefiname,"p"),cpt,jj1,subdirf2(optionfilefiname,"p"),cpt,jj1,subdirf2(optionfilefiname,"p"),cpt,jj1);
          }
        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> \
   <img src=\"%s%d%d.png\">",cpt,subdirf2(optionfilefiname,"exp"),cpt,jj1,subdirf2(optionfilefiname,"exp"),cpt,jj1,subdirf2(optionfilefiname,"exp"),cpt,jj1);
        }
      } /* end i1 */
    }/* End k1 */
    fprintf(fichtm,"</ul>");
   
   
    fprintf(fichtm,"\
   \n<br><li><h4> <a name='secondorder'>Result files (second order: variances)</a></h4>\n\
    - Parameter file with estimated parameters and covariance matrix: <a href=\"%s\">%s</a> <br>\n", rfileres,rfileres);
   
    fprintf(fichtm," - Variance of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
            subdirf2(fileres,"prob"),subdirf2(fileres,"prob"));
    fprintf(fichtm,"\
    - Variance-covariance of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
            subdirf2(fileres,"probcov"),subdirf2(fileres,"probcov"));
   
    fprintf(fichtm,"\
    - Correlation matrix of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
            subdirf2(fileres,"probcor"),subdirf2(fileres,"probcor"));
    fprintf(fichtm,"\
    - Variances and covariances of health expectancies by age and <b>initial health status</b> (cov(e<sup>ij</sup>,e<sup>kl</sup>)(estepm=%2d months): \
      <a href=\"%s\">%s</a> <br>\n</li>",
              estepm,subdirf2(fileres,"cve"),subdirf2(fileres,"cve"));
    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): \
      <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), e<sup>ij</sup> 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 (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,"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). If popbased=1 the smooth (due to the model) \
   true period expectancies (those weighted with period prevalences are also\
    drawn in addition to the population based expectancies computed using\
    observed and cahotic prevalences: %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 m0,cpt=0,k1=0,i=0,k=0,j=0,jk=0,k2=0,k3=0,ij=0,l=0;
     int ng=0;
   /*   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;
   }
   
   #ifdef GSL
   /******************* Gompertz_f Likelihood ******************************/
   double gompertz_f(const gsl_vector *v, void *params)
   { 
     double A,B,LL=0.0,sump=0.,num=0.;
     double *x= (double *) v->data;
     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]);*/
     printf("x[0]=%lf x[1]=%lf\n",x[0],x[1]);
     for (i=1;i<=imx ; i++)
       {
         if (cens[i] == 1 && wav[i]>1)
           A=-x[0]/(x[1])*(exp(x[1]*(agecens[i]-agegomp))-exp(x[1]*(ageexmed[i]-agegomp)));
         
         if (cens[i] == 0 && wav[i]>1)
           A=-x[0]/(x[1])*(exp(x[1]*(agedc[i]-agegomp))-exp(x[1]*(ageexmed[i]-agegomp)))
                +log(x[0]/YEARM)+x[1]*(agedc[i]-agegomp)+log(YEARM);  
         
         /*if (wav[i] > 1 && agecens[i] > 15) {*/ /* ??? */
         if (wav[i] > 1 ) { /* ??? */
           LL=LL+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);*/
     printf("x[0]=%lf x[1]=%lf -2*LL*num/sump=%lf\n",x[0],x[1],-2*LL*num/sump);
    
     return -2*LL*num/sump;
   }
   #endif
   
   /******************* 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);
   
   } 
   
   int readdata(char datafile[], int firstobs, int lastobs, int *imax)
   {
   
     /*-------- data file ----------*/
     FILE *fic;
     char dummy[]="                         ";
     int i, j, n;
     int linei, month, year,iout;
     char line[MAXLINE], linetmp[MAXLINE];
     char stra[80], strb[80];
     char *stratrunc;
     int lstra;
   
   
     if((fic=fopen(datafile,"r"))==NULL)    {
       printf("Problem while opening datafile: %s\n", datafile);return 1;
       fprintf(ficlog,"Problem while opening datafile: %s\n", datafile);return 1;
     }
   
     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;
       }
       trimbb(linetmp,line); /* Trims multiple blanks in line */
       for (j=0; line[j]!='\0';j++){
         line[j]=linetmp[j];
       }
     
   
       for (j=maxwav;j>=1;j--){
         cutv(stra, strb,line,' '); 
         if(strb[0]=='.') { /* Missing status */
           lval=-1;
         }else{
           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 '%s' at line number %ld 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);
             fprintf(ficlog,"Error reading data around '%s' at line number %ld 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);fflush(ficlog);
             return 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 for individual %d, '%s'\nShould be a date of interview (mm/yyyy or .) at wave %d.  Exiting.\n",strb, linei,i, line,j);
           fprintf(ficlog,"Error reading data around '%s' at line number %ld for individual %d, '%s'\nShould be a date of interview (mm/yyyy or .) at wave %d.  Exiting.\n",strb, linei,i, line,j);fflush(ficlog);
           return 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 for individual %d, '%s'\nShould be a date of death (mm/yyyy or .).  Exiting.\n",strb, linei,i,line);
           fprintf(ficlog,"Error reading data around '%s' at line number %ld for individual %d, '%s'\nShould be a date of death (mm/yyyy or .).  Exiting.\n",strb, linei,i,line);fflush(ficlog);
           return 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 for individual %d, '%s'\nShould be a date of birth (mm/yyyy or .).  Exiting.\n",strb, linei,i,line);
         fprintf(ficlog,"Error reading data around '%s' at line number %ld for individual %d, '%s'\nShould be a date of birth (mm/yyyy or .).  Exiting.\n",strb, linei,i,line);fflush(ficlog);
           return 1;
       }
       if (year==9999) {
         printf("Error reading data around '%s' at line number %ld for individual %d, '%s'\nShould be a date of birth (mm/yyyy) but at least the year of birth should be given.  Exiting.\n",strb, linei,i,line);
         fprintf(ficlog,"Error reading data around '%s' at line number %ld for individual %d, '%s'\nShould be a date of birth (mm/yyyy) but at least the year of birth should be given. Exiting.\n",strb, linei,i,line);fflush(ficlog);
           return 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);
         fprintf(ficlog,"Error reading data around '%f' at line number %ld, \"%s\" for individual %d\nShould be a weight.  Exiting.\n",dval, i,line,linei);
         fflush(ficlog);
         return 1;
       }
       weight[i]=dval; 
       strcpy(line,stra);
       
       for (j=ncovcol;j>=1;j--){
         cutv(stra, strb,line,' '); 
         if(strb[0]=='.') { /* Missing status */
           lval=-1;
         }else{
           errno=0;
           lval=strtol(strb,&endptr,10); 
           if( strb[0]=='\0' || (*endptr != '\0')){
             printf("Error reading data around '%d' at line number %ld for individual %d, '%s'\nShould be a covariate value (=0 for the reference or 1 for alternative).  Exiting.\n",lval, linei,i, line);
             fprintf(ficlog,"Error reading data around '%d' at line number %ld for individual %d, '%s'\nShould be a covariate value (=0 for the reference or 1 for alternative).  Exiting.\n",lval, linei,i, line);fflush(ficlog);
             return 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);
           fprintf(ficlog,"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);fflush(ficlog);
           return 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 */
   
     *imax=i-1; /* Number of individuals */
     fclose(fic);
    
     return (0);
     endread:
       printf("Exiting readdata: ");
       fclose(fic);
       return (1);
   
   
   
   }
   
   int decodemodel ( char model[], int lastobs)
   {
     int i, j, k;
     int i1, j1, k1, k2;
     char modelsav[80];
      char stra[80], strb[80], strc[80], strd[80],stre[80];
   
     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; /* Number of covariates V1+V2*age+V3 =>(2 plus signs) + 1=3 
                     but the covariates which are product must be computed and stored. */
       cptcovprod=j1; /*Number of products  V1*V2 +v3*age = 2 */
       
       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);fflush(ficlog);
         return 1;
       }
       
       /* This loop fills the array Tvar from the string 'model'.*/
       /* j is the number of + signs in the model V1+V2+V3 j=2 i=3 to 1 */
       /*    modelsav=V3*age+V2+V1+V4 strb=V3*age stra=V2+V1+V4 
           i=1 Tvar[1]=3 Tage[1]=1  
           i=2 Tvar[2]=2
           i=3 Tvar[3]=1
           i=4 Tvar[4]= 4
           i=5 Tvar[5]
         for (k=1; k<=cptcovn;k++) {
           cov[2+k]=nbcode[Tvar[k]][codtab[ij][Tvar[k]]];
        */
       for(k=1; k<=(j+1);k++){
         cutv(strb,stra,modelsav,'+'); /* keeps in strb after the first '+' 
                                        modelsav=V3*age+V2+V1+V4 strb=V3*age stra=V2+V1+V4 
                                       */ 
         /* 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 V3*age+V2+V1+V4 strb=V3*age */
           cutv(strd,strc,strb,'*'); /* strd*strc  Vm*Vn: strb=V3*age strc=age strd=V3 ; V3*V2 strc=V2, strd=V3 */
           if (strcmp(strc,"age")==0) { /* Vn*age */
             cptcovprod--;
             cutv(strb,stre,strd,'V'); /* stre="V3" */
             Tvar[k]=atoi(stre);  /* V1+V3*age+V2 Tvar[2]=3, and Tvar[3]=2 */
             cptcovage++; /* Sums the number of covariates which include age as a product */
             Tage[cptcovage]=k;  /* Tage[1] =2 */
             /*printf("stre=%s ", stre);*/
           }
           else if (strcmp(strd,"age")==0) { /* or age*Vn */
             cptcovprod--;
             cutv(strb,stre,strc,'V');
             Tvar[k]=atoi(stre);
             cptcovage++;
             Tage[cptcovage]=k;
           }
           else {  /* Age is not in the model V1+V3*V2+V2  strb=V3*V2*/
             cutv(strb,stre,strc,'V'); /* strc= Vn, stre is n; strb=V3*V2 stre=3 strc=*/
             Tvar[k]=ncovcol+k1;  /* find 'n' in Vn and stores in Tvar. 
                                     If already ncovcol=2 and model=V2*V1 Tvar[1]=2+1 and Tvar[2]=2+2 etc */
             cutv(strb,strc,strd,'V'); /* strd was Vm, strc is m */
             Tprod[k1]=k;  /* Tprod[1]  */
             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 (i=1; i<=lastobs;i++) /* Computes the new covariate which is a product of covar[n][i]* covar[m][i]
                                        and is stored at ncovol+k1 */
               covar[ncovcol+k1][i]=covar[atoi(stre)][i]*covar[atoi(strc)][i];
             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);  /* modelsav=V2+V3*age+V1+V4 strb=V3*age+V1+V4 */ 
         /*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);*/
   
   
     return (0);
     endread:
       printf("Exiting decodemodel: ");
       return (1);
   }
   
   calandcheckages(int imx, int maxwav, double *agemin, double *agemax, int *nberr, int *nbwarn )
   {
     int i, m;
   
     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);     
           return 1;
         }
       }
     }
   
     /*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); 
   
     return (0);
     endread:
       printf("Exiting calandcheckages: ");
       return (1);
   }
   
   
   /***********************************************/
   /**************** Main Program *****************/
   /***********************************************/
   
   int main(int argc, char *argv[])
   {
   #ifdef GSL
     const gsl_multimin_fminimizer_type *T;
     size_t iteri = 0, it;
     int rval = GSL_CONTINUE;
     int status = GSL_SUCCESS;
     double ssval;
   #endif
     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;
     int vpopbased=0;
   
     char ca[32], cb[32], cc[32];
     /*  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, jk,aa,bb, stepsize, ij;
     int jnais,jdc,jint4,jint1,jint2,jint3,*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 ***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  *strt;*/
     char strtend[80];
   
     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 plus one, indepently of n in Vn*/
     /* v1+v2+v3+v2*v4+v5*age makes cptcovn = 5
        v1+v2*age+v2*v3 makes cptcovn = 3
     */
     if (strlen(model)>1) 
       cptcovn=nbocc(model,'+')+1;
     /* ncovprod */
     ncovmodel=2+cptcovn; /*Number of variables including intercept and age = cptcovn + intercept + age : v1+v2+v3+v2*v4+v5*age makes 5+2=7*/
     nvar=ncovmodel-1; /* Suppressing age as a basic covariate */
     nforce= (nlstate+ndeath-1)*nlstate; /* Number of forces ij from state i to j */
     npar= nforce*ncovmodel; /* Number of parameters like aij*/
     if(npar >MAXPARM || nlstate >NLSTATEMAX || ndeath >NDEATHMAX || ncovmodel>NCOVMAX){
       printf("Too complex model for current IMaCh: npar=(nlstate+ndeath-1)*nlstate*ncovmodel=%d >= %d(MAXPARM) or nlstate=%d >= %d(NLSTATEMAX) or ndeath=%d >= %d(NDEATHMAX) or ncovmodel=(k+age+#of+signs)=%d(NCOVMAX) >= %d\n",npar, MAXPARM, nlstate, NLSTATEMAX, ndeath, NDEATHMAX, ncovmodel, NCOVMAX);
       fprintf(ficlog,"Too complex model for current IMaCh: %d >=%d(MAXPARM) or %d >=%d(NLSTATEMAX) or %d >=%d(NDEATHMAX) or %d(NCOVMAX) >=%d\n",npar, MAXPARM, nlstate, NLSTATEMAX, ndeath, NDEATHMAX, ncovmodel, NCOVMAX);
       fflush(stdout);
       fclose (ficlog);
       goto end;
     }
     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++)
         for(j=1; j <=npar; j++) matcov[i][j]=0.;
         
       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 */
   
   
     n= lastobs;
     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); /* s[i][j] health state for wave i and individual j */ 
     tab=ivector(1,NCOVMAX);
     ncodemax=ivector(1,8);
   
     /* Reads data from file datafile */
     if (readdata(datafile, firstobs, lastobs, &imx)==1)
       goto end;
   
     /* Calculation of the number of parameters from char model */
     Tvar=ivector(1,NCOVMAX); /* Was 15 changed to NCOVMAX. 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(decodemodel(model, lastobs) == 1)
       goto end;
   
       /*  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);
   
     if(calandcheckages(imx, maxwav, &agemin, &agemax, &nberr, &nbwarn) == 1)
       goto end;
   
   
     agegomp=(int)agemin;
     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 */
   
     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++){ /* scans any effective covariate */
       for(i=1; i <=(m/pow(2,k));i++){ /* i=1 to 8/1=8; i=1 to 8/2=4; i=1 to 8/8=1 */ 
         for(j=1; j <= ncodemax[k]; j++){ /* For each modality of this covariate */
           for(cpt=1; cpt <=(m/pow(2,cptcoveff+1-k)); cpt++){  /* cpt=1 to 8/2**(3+1-1 or 3+1-3) =1 or 4 */ 
             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 codtab[h][Tvar[k]]=%d \n",h, k,j,codtab[h][k],Tvar[k],codtab[h][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); 
   /*     ximort=gsl_matrix_alloc(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]);*/
       
       
   #ifdef GSL
       printf("GSL optimization\n");  fprintf(ficlog,"Powell\n");
   #elsedef
       printf("Powell\n");  fprintf(ficlog,"Powell\n");
   #endif
       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);
       }
   #ifdef GSL
       fprintf(ficrespow,"# GSL optimization\n# iter -2*LL");
   #elsedef
       fprintf(ficrespow,"# Powell\n# iter -2*LL");
   #endif
       /*  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");
   #ifdef GSL
       /* gsl starts here */ 
       T = gsl_multimin_fminimizer_nmsimplex;
       gsl_multimin_fminimizer *sfm = NULL;
       gsl_vector *ss, *x;
       gsl_multimin_function minex_func;
   
       /* Initial vertex size vector */
       ss = gsl_vector_alloc (NDIM);
       
       if (ss == NULL){
         GSL_ERROR_VAL ("failed to allocate space for ss", GSL_ENOMEM, 0);
       }
       /* Set all step sizes to 1 */
       gsl_vector_set_all (ss, 0.001);
   
       /* Starting point */
       
       x = gsl_vector_alloc (NDIM);
       
       if (x == NULL){
         gsl_vector_free(ss);
         GSL_ERROR_VAL ("failed to allocate space for x", GSL_ENOMEM, 0);
       }
     
       /* Initialize method and iterate */
       /*     p[1]=0.0268; p[NDIM]=0.083; */
   /*     gsl_vector_set(x, 0, 0.0268); */
   /*     gsl_vector_set(x, 1, 0.083); */
       gsl_vector_set(x, 0, p[1]);
       gsl_vector_set(x, 1, p[2]);
   
       minex_func.f = &gompertz_f;
       minex_func.n = NDIM;
       minex_func.params = (void *)&p; /* ??? */
       
       sfm = gsl_multimin_fminimizer_alloc (T, NDIM);
       gsl_multimin_fminimizer_set (sfm, &minex_func, x, ss);
       
       printf("Iterations beginning .....\n\n");
       printf("Iter. #    Intercept       Slope     -Log Likelihood     Simplex size\n");
   
       iteri=0;
       while (rval == GSL_CONTINUE){
         iteri++;
         status = gsl_multimin_fminimizer_iterate(sfm);
         
         if (status) printf("error: %s\n", gsl_strerror (status));
         fflush(0);
         
         if (status) 
           break;
         
         rval = gsl_multimin_test_size (gsl_multimin_fminimizer_size (sfm), 1e-6);
         ssval = gsl_multimin_fminimizer_size (sfm);
         
         if (rval == GSL_SUCCESS)
           printf ("converged to a local maximum at\n");
         
         printf("%5d ", iteri);
         for (it = 0; it < NDIM; it++){
           printf ("%10.5f ", gsl_vector_get (sfm->x, it));
         }
         printf("f() = %-10.5f ssize = %.7f\n", sfm->fval, ssval);
       }
       
       printf("\n\n Please note: Program should be run many times with varying starting points to detemine global maximum\n\n");
       
       gsl_vector_free(x); /* initial values */
       gsl_vector_free(ss); /* inital step size */
       for (it=0; it<NDIM; it++){
         p[it+1]=gsl_vector_get(sfm->x,it);
         fprintf(ficrespow," %.12lf", p[it]);
       }
       gsl_multimin_fminimizer_free (sfm); /* p *(sfm.x.data) et p *(sfm.x.data+1)  */
   #endif
   #ifdef POWELL
        powell(p,ximort,NDIM,ftol,&iter,&fret,gompertz);
   #endif  
       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);
   #ifdef GSL
       free_ivector(cens,1,n);
       free_vector(agecens,1,n);
       free_ivector(dcwave,1,n);
       free_matrix(ximort,1,NDIM,1,NDIM);
   #endif
     } /* Endof if mle==-3 */
     
     else{ /* For mle >=1 */
       globpr=0;/* debug */
       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("%lf ",p[jk]);
               fprintf(ficlog,"%lf ",p[jk]);
               fprintf(ficres,"%lf ",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;
           /* to clean */
           printf("cptcov=%d cptcod=%d codtab=%d nbcode=%d\n",cptcov, cptcod,codtab[cptcod][cptcov],nbcode);
           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); */
         /*      } */
       }
     
   
       /* 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);
         }
       }
   
   
       /*---------- Health expectancies, no variances ------------*/
   
       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);
       for(cptcov=1,k=0;cptcov<=i1;cptcov++){
         for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){
           k=k+1; 
           fprintf(ficreseij,"\n#****** ");
           for(j=1;j<=cptcoveff;j++) {
             fprintf(ficreseij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
           }
           fprintf(ficreseij,"******\n");
   
           eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
           oldm=oldms;savm=savms;
           evsij(eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k, estepm, strstart);  
         
           free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);
         }
       }
       fclose(ficreseij);
   
   
       /*---------- 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(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);
   
       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(ficresstdeij,"\n#****** ");
           fprintf(ficrescveij,"\n#****** ");
           for(j=1;j<=cptcoveff;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(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;
           cvevsij(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);
           pstamp(ficrest);
           for(vpopbased=0; vpopbased <= popbased; vpopbased++){ /* Done for vpopbased=0 and vpopbased=1 if popbased==1*/
             oldm=oldms;savm=savms;
             varevsij(optionfilefiname, vareij, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k, estepm, cptcov,cptcod,vpopbased,mobilav, strstart);   fprintf(ficrest,"# Total life expectancy with std error and decomposition into time to be expected in each health state\n#  (weighted average of eij where weights are ");
             if(vpopbased==1)
               fprintf(ficrest,"the age specific prevalence observed (cross-sectionally) in the population i.e cross-sectionally\n in each health state (popbased=1) (mobilav=%d)\n",mobilav);
             else
               fprintf(ficrest,"the age specific period (stable) prevalences in each health state \n");
             fprintf(ficrest,"# 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 (vpopbased==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(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 */
    endfree:
     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_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.1.18  
changed lines
  Added in v.1.136


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