Diff for /imach/src/imach.c between versions 1.20 and 1.137

version 1.20, 2002/02/20 17:22:01 version 1.137, 2010/04/29 18:11:38
Line 1 Line 1
      /* $Id$
 /*********************** Imach **************************************            $State$
   This program computes Healthy Life Expectancies from cross-longitudinal    $Log$
   data. Cross-longitudinal consist in a first survey ("cross") where    Revision 1.137  2010/04/29 18:11:38  brouard
   individuals from different ages are interviewed on their health status    (Module): Checking covariates for more complex models
   or degree of  disability. At least a second wave of interviews    than V1+V2. A lot of change to be done. Unstable.
   ("longitudinal") should  measure each new individual health status.  
   Health expectancies are computed from the transistions observed between    Revision 1.136  2010/04/26 20:30:53  brouard
   waves and are computed for each degree of severity of disability (number    (Module): merging some libgsl code. Fixing computation
   of life states). More degrees you consider, more time is necessary to    of likelione (using inter/intrapolation if mle = 0) in order to
   reach the Maximum Likelihood of the parameters involved in the model.    get same likelihood as if mle=1.
   The simplest model is the multinomial logistic model where pij is    Some cleaning of code and comments added.
   the probabibility to be observed in state j at the second wave conditional  
   to be observed in state i at the first wave. Therefore the model is:    Revision 1.135  2009/10/29 15:33:14  brouard
   log(pij/pii)= aij + bij*age+ cij*sex + etc , where 'age' is age and 'sex'    (Module): Now imach stops if date of birth, at least year of birth, is not given. Some cleaning of the code.
   is a covariate. If you want to have a more complex model than "constant and  
   age", you should modify the program where the markup    Revision 1.134  2009/10/29 13:18:53  brouard
     *Covariates have to be included here again* invites you to do it.    (Module): Now imach stops if date of birth, at least year of birth, is not given. Some cleaning of the code.
   More covariates you add, less is the speed of the convergence.  
     Revision 1.133  2009/07/06 10:21:25  brouard
   The advantage that this computer programme claims, comes from that if the    just nforces
   delay between waves is not identical for each individual, or if some  
   individual missed an interview, the information is not rounded or lost, but    Revision 1.132  2009/07/06 08:22:05  brouard
   taken into account using an interpolation or extrapolation.    Many tings
   hPijx is the probability to be  
   observed in state i at age x+h conditional to the observed state i at age    Revision 1.131  2009/06/20 16:22:47  brouard
   x. The delay 'h' can be split into an exact number (nh*stepm) of    Some dimensions resccaled
   unobserved intermediate  states. This elementary transition (by month or  
   quarter trimester, semester or year) is model as a multinomial logistic.    Revision 1.130  2009/05/26 06:44:34  brouard
   The hPx matrix is simply the matrix product of nh*stepm elementary matrices    (Module): Max Covariate is now set to 20 instead of 8. A
   and the contribution of each individual to the likelihood is simply hPijx.    lot of cleaning with variables initialized to 0. Trying to make
     V2+V3*age+V1+V4 strb=V3*age+V1+V4 working better.
   Also this programme outputs the covariance matrix of the parameters but also  
   of the life expectancies. It also computes the prevalence limits.    Revision 1.129  2007/08/31 13:49:27  lievre
      Modification of the way of exiting when the covariate is not binary in order to see on the window the error message before exiting
   Authors: Nicolas Brouard (brouard@ined.fr) and Agnès Lièvre (lievre@ined.fr).  
            Institut national d'études démographiques, Paris.    Revision 1.128  2006/06/30 13:02:05  brouard
   This software have been partly granted by Euro-REVES, a concerted action    (Module): Clarifications on computing e.j
   from the European Union.  
   It is copyrighted identically to a GNU software product, ie programme and    Revision 1.127  2006/04/28 18:11:50  brouard
   software can be distributed freely for non commercial use. Latest version    (Module): Yes the sum of survivors was wrong since
   can be accessed at http://euroreves.ined.fr/imach .    imach-114 because nhstepm was no more computed in the age
   **********************************************************************/    loop. Now we define nhstepma in the age loop.
      (Module): In order to speed up (in case of numerous covariates) we
 #include <math.h>    compute health expectancies (without variances) in a first step
 #include <stdio.h>    and then all the health expectancies with variances or standard
 #include <stdlib.h>    deviation (needs data from the Hessian matrices) which slows the
 #include <unistd.h>    computation.
     In the future we should be able to stop the program is only health
 #define MAXLINE 256    expectancies and graph are needed without standard deviations.
 #define FILENAMELENGTH 80  
 /*#define DEBUG*/    Revision 1.126  2006/04/28 17:23:28  brouard
 #define windows    (Module): Yes the sum of survivors was wrong since
 #define GLOCK_ERROR_NOPATH              -1      /* empty path */    imach-114 because nhstepm was no more computed in the age
 #define GLOCK_ERROR_GETCWD              -2      /* cannot get cwd */    loop. Now we define nhstepma in the age loop.
     Version 0.98h
 #define MAXPARM 30 /* Maximum number of parameters for the optimization */  
 #define NPARMAX 64 /* (nlstate+ndeath-1)*nlstate*ncovmodel */    Revision 1.125  2006/04/04 15:20:31  lievre
     Errors in calculation of health expectancies. Age was not initialized.
 #define NINTERVMAX 8    Forecasting file added.
 #define NLSTATEMAX 8 /* Maximum number of live states (for func) */  
 #define NDEATHMAX 8 /* Maximum number of dead states (for func) */    Revision 1.124  2006/03/22 17:13:53  lievre
 #define NCOVMAX 8 /* Maximum number of covariates */    Parameters are printed with %lf instead of %f (more numbers after the comma).
 #define MAXN 20000    The log-likelihood is printed in the log file
 #define YEARM 12. /* Number of months per year */  
 #define AGESUP 130    Revision 1.123  2006/03/20 10:52:43  brouard
 #define AGEBASE 40    * imach.c (Module): <title> changed, corresponds to .htm file
     name. <head> headers where missing.
   
 int nvar;    * imach.c (Module): Weights can have a decimal point as for
 int cptcovn, cptcovage=0, cptcoveff=0,cptcov;    English (a comma might work with a correct LC_NUMERIC environment,
 int npar=NPARMAX;    otherwise the weight is truncated).
 int nlstate=2; /* Number of live states */    Modification of warning when the covariates values are not 0 or
 int ndeath=1; /* Number of dead states */    1.
 int ncovmodel, ncov;     /* Total number of covariables including constant a12*1 +b12*x ncovmodel=2 */    Version 0.98g
 int popbased=0;  
     Revision 1.122  2006/03/20 09:45:41  brouard
 int *wav; /* Number of waves for this individuual 0 is possible */    (Module): Weights can have a decimal point as for
 int maxwav; /* Maxim number of waves */    English (a comma might work with a correct LC_NUMERIC environment,
 int jmin, jmax; /* min, max spacing between 2 waves */    otherwise the weight is truncated).
 int mle, weightopt;    Modification of warning when the covariates values are not 0 or
 int **mw; /* mw[mi][i] is number of the mi wave for this individual */    1.
 int **dh; /* dh[mi][i] is number of steps between mi,mi+1 for this individual */    Version 0.98g
 double jmean; /* Mean space between 2 waves */  
 double **oldm, **newm, **savm; /* Working pointers to matrices */    Revision 1.121  2006/03/16 17:45:01  lievre
 double **oldms, **newms, **savms; /* Fixed working pointers to matrices */    * imach.c (Module): Comments concerning covariates added
 FILE *fic,*ficpar, *ficparo,*ficres,  *ficrespl, *ficrespij, *ficrest,*ficresf;  
 FILE *ficgp, *fichtm,*ficresprob,*ficpop;    * imach.c (Module): refinements in the computation of lli if
 FILE *ficreseij;    status=-2 in order to have more reliable computation if stepm is
   char filerese[FILENAMELENGTH];    not 1 month. Version 0.98f
  FILE  *ficresvij;  
   char fileresv[FILENAMELENGTH];    Revision 1.120  2006/03/16 15:10:38  lievre
  FILE  *ficresvpl;    (Module): refinements in the computation of lli if
   char fileresvpl[FILENAMELENGTH];    status=-2 in order to have more reliable computation if stepm is
     not 1 month. Version 0.98f
 #define NR_END 1  
 #define FREE_ARG char*    Revision 1.119  2006/03/15 17:42:26  brouard
 #define FTOL 1.0e-10    (Module): Bug if status = -2, the loglikelihood was
     computed as likelihood omitting the logarithm. Version O.98e
 #define NRANSI  
 #define ITMAX 200    Revision 1.118  2006/03/14 18:20:07  brouard
     (Module): varevsij Comments added explaining the second
 #define TOL 2.0e-4    table of variances if popbased=1 .
     (Module): Covariances of eij, ekl added, graphs fixed, new html link.
 #define CGOLD 0.3819660    (Module): Function pstamp added
 #define ZEPS 1.0e-10    (Module): Version 0.98d
 #define SHFT(a,b,c,d) (a)=(b);(b)=(c);(c)=(d);  
     Revision 1.117  2006/03/14 17:16:22  brouard
 #define GOLD 1.618034    (Module): varevsij Comments added explaining the second
 #define GLIMIT 100.0    table of variances if popbased=1 .
 #define TINY 1.0e-20    (Module): Covariances of eij, ekl added, graphs fixed, new html link.
     (Module): Function pstamp added
 static double maxarg1,maxarg2;    (Module): Version 0.98d
 #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 1.116  2006/03/06 10:29:27  brouard
      (Module): Variance-covariance wrong links and
 #define SIGN(a,b) ((b)>0.0 ? fabs(a) : -fabs(a))    varian-covariance of ej. is needed (Saito).
 #define rint(a) floor(a+0.5)  
     Revision 1.115  2006/02/27 12:17:45  brouard
 static double sqrarg;    (Module): One freematrix added in mlikeli! 0.98c
 #define SQR(a) ((sqrarg=(a)) == 0.0 ? 0.0 :sqrarg*sqrarg)  
 #define SWAP(a,b) {temp=(a);(a)=(b);(b)=temp;}    Revision 1.114  2006/02/26 12:57:58  brouard
     (Module): Some improvements in processing parameter
 int imx;    filename with strsep.
 int stepm;  
 /* Stepm, step in month: minimum step interpolation*/    Revision 1.113  2006/02/24 14:20:24  brouard
     (Module): Memory leaks checks with valgrind and:
 int m,nb;    datafile was not closed, some imatrix were not freed and on matrix
 int *num, firstpass=0, lastpass=4,*cod, *ncodemax, *Tage;    allocation too.
 double **agev,*moisnais, *annais, *moisdc, *andc,**mint, **anint;  
 double **pmmij, ***probs, ***mobaverage;    Revision 1.112  2006/01/30 09:55:26  brouard
 double dateintmean=0;    (Module): Back to gnuplot.exe instead of wgnuplot.exe
   
 double *weight;    Revision 1.111  2006/01/25 20:38:18  brouard
 int **s; /* Status */    (Module): Lots of cleaning and bugs added (Gompertz)
 double *agedc, **covar, idx;    (Module): Comments can be added in data file. Missing date values
 int **nbcode, *Tcode, *Tvar, **codtab, **Tvard, *Tprod, cptcovprod, *Tvaraff;    can be a simple dot '.'.
   
 double ftol=FTOL; /* Tolerance for computing Max Likelihood */    Revision 1.110  2006/01/25 00:51:50  brouard
 double ftolhess; /* Tolerance for computing hessian */    (Module): Lots of cleaning and bugs added (Gompertz)
   
 /**************** split *************************/    Revision 1.109  2006/01/24 19:37:15  brouard
 static  int split( char *path, char *dirc, char *name )    (Module): Comments (lines starting with a #) are allowed in data.
 {  
    char *s;                             /* pointer */    Revision 1.108  2006/01/19 18:05:42  lievre
    int  l1, l2;                         /* length counters */    Gnuplot problem appeared...
     To be fixed
    l1 = strlen( path );                 /* length of path */  
    if ( l1 == 0 ) return( GLOCK_ERROR_NOPATH );    Revision 1.107  2006/01/19 16:20:37  brouard
    s = strrchr( path, '\\' );           /* find last / */    Test existence of gnuplot in imach path
    if ( s == NULL ) {                   /* no directory, so use current */  
 #if     defined(__bsd__)                /* get current working directory */    Revision 1.106  2006/01/19 13:24:36  brouard
       extern char       *getwd( );    Some cleaning and links added in html output
   
       if ( getwd( dirc ) == NULL ) {    Revision 1.105  2006/01/05 20:23:19  lievre
 #else    *** empty log message ***
       extern char       *getcwd( );  
     Revision 1.104  2005/09/30 16:11:43  lievre
       if ( getcwd( dirc, FILENAME_MAX ) == NULL ) {    (Module): sump fixed, loop imx fixed, and simplifications.
 #endif    (Module): If the status is missing at the last wave but we know
          return( GLOCK_ERROR_GETCWD );    that the person is alive, then we can code his/her status as -2
       }    (instead of missing=-1 in earlier versions) and his/her
       strcpy( name, path );             /* we've got it */    contributions to the likelihood is 1 - Prob of dying from last
    } else {                             /* strip direcotry from path */    health status (= 1-p13= p11+p12 in the easiest case of somebody in
       s++;                              /* after this, the filename */    the healthy state at last known wave). Version is 0.98
       l2 = strlen( s );                 /* length of filename */  
       if ( l2 == 0 ) return( GLOCK_ERROR_NOPATH );    Revision 1.103  2005/09/30 15:54:49  lievre
       strcpy( name, s );                /* save file name */    (Module): sump fixed, loop imx fixed, and simplifications.
       strncpy( dirc, path, l1 - l2 );   /* now the directory */  
       dirc[l1-l2] = 0;                  /* add zero */    Revision 1.102  2004/09/15 17:31:30  brouard
    }    Add the possibility to read data file including tab characters.
    l1 = strlen( dirc );                 /* length of directory */  
    if ( dirc[l1-1] != '\\' ) { dirc[l1] = '\\'; dirc[l1+1] = 0; }    Revision 1.101  2004/09/15 10:38:38  brouard
    return( 0 );                         /* we're done */    Fix on curr_time
 }  
     Revision 1.100  2004/07/12 18:29:06  brouard
     Add version for Mac OS X. Just define UNIX in Makefile
 /******************************************/  
     Revision 1.99  2004/06/05 08:57:40  brouard
 void replace(char *s, char*t)    *** empty log message ***
 {  
   int i;    Revision 1.98  2004/05/16 15:05:56  brouard
   int lg=20;    New version 0.97 . First attempt to estimate force of mortality
   i=0;    directly from the data i.e. without the need of knowing the health
   lg=strlen(t);    state at each age, but using a Gompertz model: log u =a + b*age .
   for(i=0; i<= lg; i++) {    This is the basic analysis of mortality and should be done before any
     (s[i] = t[i]);    other analysis, in order to test if the mortality estimated from the
     if (t[i]== '\\') s[i]='/';    cross-longitudinal survey is different from the mortality estimated
   }    from other sources like vital statistic data.
 }  
     The same imach parameter file can be used but the option for mle should be -3.
 int nbocc(char *s, char occ)  
 {    Agnès, who wrote this part of the code, tried to keep most of the
   int i,j=0;    former routines in order to include the new code within the former code.
   int lg=20;  
   i=0;    The output is very simple: only an estimate of the intercept and of
   lg=strlen(s);    the slope with 95% confident intervals.
   for(i=0; i<= lg; i++) {  
   if  (s[i] == occ ) j++;    Current limitations:
   }    A) Even if you enter covariates, i.e. with the
   return j;    model= V1+V2 equation for example, the programm does only estimate a unique global model without covariates.
 }    B) There is no computation of Life Expectancy nor Life Table.
   
 void cutv(char *u,char *v, char*t, char occ)    Revision 1.97  2004/02/20 13:25:42  lievre
 {    Version 0.96d. Population forecasting command line is (temporarily)
   int i,lg,j,p=0;    suppressed.
   i=0;  
   for(j=0; j<=strlen(t)-1; j++) {    Revision 1.96  2003/07/15 15:38:55  brouard
     if((t[j]!= occ) && (t[j+1]== occ)) p=j+1;    * imach.c (Repository): Errors in subdirf, 2, 3 while printing tmpout is
   }    rewritten within the same printf. Workaround: many printfs.
   
   lg=strlen(t);    Revision 1.95  2003/07/08 07:54:34  brouard
   for(j=0; j<p; j++) {    * imach.c (Repository):
     (u[j] = t[j]);    (Repository): Using imachwizard code to output a more meaningful covariance
   }    matrix (cov(a12,c31) instead of numbers.
      u[p]='\0';  
     Revision 1.94  2003/06/27 13:00:02  brouard
    for(j=0; j<= lg; j++) {    Just cleaning
     if (j>=(p+1))(v[j-p-1] = t[j]);  
   }    Revision 1.93  2003/06/25 16:33:55  brouard
 }    (Module): On windows (cygwin) function asctime_r doesn't
     exist so I changed back to asctime which exists.
 /********************** nrerror ********************/    (Module): Version 0.96b
   
 void nrerror(char error_text[])    Revision 1.92  2003/06/25 16:30:45  brouard
 {    (Module): On windows (cygwin) function asctime_r doesn't
   fprintf(stderr,"ERREUR ...\n");    exist so I changed back to asctime which exists.
   fprintf(stderr,"%s\n",error_text);  
   exit(1);    Revision 1.91  2003/06/25 15:30:29  brouard
 }    * imach.c (Repository): Duplicated warning errors corrected.
 /*********************** vector *******************/    (Repository): Elapsed time after each iteration is now output. It
 double *vector(int nl, int nh)    helps to forecast when convergence will be reached. Elapsed time
 {    is stamped in powell.  We created a new html file for the graphs
   double *v;    concerning matrix of covariance. It has extension -cov.htm.
   v=(double *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(double)));  
   if (!v) nrerror("allocation failure in vector");    Revision 1.90  2003/06/24 12:34:15  brouard
   return v-nl+NR_END;    (Module): Some bugs corrected for windows. Also, when
 }    mle=-1 a template is output in file "or"mypar.txt with the design
     of the covariance matrix to be input.
 /************************ free vector ******************/  
 void free_vector(double*v, int nl, int nh)    Revision 1.89  2003/06/24 12:30:52  brouard
 {    (Module): Some bugs corrected for windows. Also, when
   free((FREE_ARG)(v+nl-NR_END));    mle=-1 a template is output in file "or"mypar.txt with the design
 }    of the covariance matrix to be input.
   
 /************************ivector *******************************/    Revision 1.88  2003/06/23 17:54:56  brouard
 int *ivector(long nl,long nh)    * 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.
 {  
   int *v;    Revision 1.87  2003/06/18 12:26:01  brouard
   v=(int *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(int)));    Version 0.96
   if (!v) nrerror("allocation failure in ivector");  
   return v-nl+NR_END;    Revision 1.86  2003/06/17 20:04:08  brouard
 }    (Module): Change position of html and gnuplot routines and added
     routine fileappend.
 /******************free ivector **************************/  
 void free_ivector(int *v, long nl, long nh)    Revision 1.85  2003/06/17 13:12:43  brouard
 {    * imach.c (Repository): Check when date of death was earlier that
   free((FREE_ARG)(v+nl-NR_END));    current date of interview. It may happen when the death was just
 }    prior to the death. In this case, dh was negative and likelihood
     was wrong (infinity). We still send an "Error" but patch by
 /******************* imatrix *******************************/    assuming that the date of death was just one stepm after the
 int **imatrix(long nrl, long nrh, long ncl, long nch)    interview.
      /* allocate a int matrix with subscript range m[nrl..nrh][ncl..nch] */    (Repository): Because some people have very long ID (first column)
 {    we changed int to long in num[] and we added a new lvector for
   long i, nrow=nrh-nrl+1,ncol=nch-ncl+1;    memory allocation. But we also truncated to 8 characters (left
   int **m;    truncation)
      (Repository): No more line truncation errors.
   /* allocate pointers to rows */  
   m=(int **) malloc((size_t)((nrow+NR_END)*sizeof(int*)));    Revision 1.84  2003/06/13 21:44:43  brouard
   if (!m) nrerror("allocation failure 1 in matrix()");    * imach.c (Repository): Replace "freqsummary" at a correct
   m += NR_END;    place. It differs from routine "prevalence" which may be called
   m -= nrl;    many times. Probs is memory consuming and must be used with
      parcimony.
      Version 0.95a3 (should output exactly the same maximization than 0.8a2)
   /* allocate rows and set pointers to them */  
   m[nrl]=(int *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(int)));    Revision 1.83  2003/06/10 13:39:11  lievre
   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");    *** empty log message ***
   m[nrl] += NR_END;  
   m[nrl] -= ncl;    Revision 1.82  2003/06/05 15:57:20  brouard
      Add log in  imach.c and  fullversion number is now printed.
   for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol;  
    */
   /* return pointer to array of pointers to rows */  /*
   return m;     Interpolated Markov Chain
 }  
     Short summary of the programme:
 /****************** free_imatrix *************************/    
 void free_imatrix(m,nrl,nrh,ncl,nch)    This program computes Healthy Life Expectancies from
       int **m;    cross-longitudinal data. Cross-longitudinal data consist in: -1- a
       long nch,ncl,nrh,nrl;    first survey ("cross") where individuals from different ages are
      /* free an int matrix allocated by imatrix() */    interviewed on their health status or degree of disability (in the
 {    case of a health survey which is our main interest) -2- at least a
   free((FREE_ARG) (m[nrl]+ncl-NR_END));    second wave of interviews ("longitudinal") which measure each change
   free((FREE_ARG) (m+nrl-NR_END));    (if any) in individual health status.  Health expectancies are
 }    computed from the time spent in each health state according to a
     model. More health states you consider, more time is necessary to reach the
 /******************* matrix *******************************/    Maximum Likelihood of the parameters involved in the model.  The
 double **matrix(long nrl, long nrh, long ncl, long nch)    simplest model is the multinomial logistic model where pij is the
 {    probability to be observed in state j at the second wave
   long i, nrow=nrh-nrl+1, ncol=nch-ncl+1;    conditional to be observed in state i at the first wave. Therefore
   double **m;    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
   m=(double **) malloc((size_t)((nrow+NR_END)*sizeof(double*)));    complex model than "constant and age", you should modify the program
   if (!m) nrerror("allocation failure 1 in matrix()");    where the markup *Covariates have to be included here again* invites
   m += NR_END;    you to do it.  More covariates you add, slower the
   m -= nrl;    convergence.
   
   m[nrl]=(double *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));    The advantage of this computer programme, compared to a simple
   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");    multinomial logistic model, is clear when the delay between waves is not
   m[nrl] += NR_END;    identical for each individual. Also, if a individual missed an
   m[nrl] -= ncl;    intermediate interview, the information is lost, but taken into
     account using an interpolation or extrapolation.  
   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;  
   return m;    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
     split into an exact number (nh*stepm) of unobserved intermediate
 /*************************free matrix ************************/    states. This elementary transition (by month, quarter,
 void free_matrix(double **m, long nrl, long nrh, long ncl, long nch)    semester or year) is modelled as a multinomial logistic.  The hPx
 {    matrix is simply the matrix product of nh*stepm elementary matrices
   free((FREE_ARG)(m[nrl]+ncl-NR_END));    and the contribution of each individual to the likelihood is simply
   free((FREE_ARG)(m+nrl-NR_END));    hPijx.
 }  
     Also this programme outputs the covariance matrix of the parameters but also
 /******************* ma3x *******************************/    of the life expectancies. It also computes the period (stable) prevalence. 
 double ***ma3x(long nrl, long nrh, long ncl, long nch, long nll, long nlh)    
 {    Authors: Nicolas Brouard (brouard@ined.fr) and Agnès Lièvre (lievre@ined.fr).
   long i, j, nrow=nrh-nrl+1, ncol=nch-ncl+1, nlay=nlh-nll+1;             Institut national d'études démographiques, Paris.
   double ***m;    This software have been partly granted by Euro-REVES, a concerted action
     from the European Union.
   m=(double ***) malloc((size_t)((nrow+NR_END)*sizeof(double*)));    It is copyrighted identically to a GNU software product, ie programme and
   if (!m) nrerror("allocation failure 1 in matrix()");    software can be distributed freely for non commercial use. Latest version
   m += NR_END;    can be accessed at http://euroreves.ined.fr/imach .
   m -= nrl;  
     Help to debug: LD_PRELOAD=/usr/local/lib/libnjamd.so ./imach foo.imach
   m[nrl]=(double **) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));    or better on gdb : set env LD_PRELOAD=/usr/local/lib/libnjamd.so
   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");    
   m[nrl] += NR_END;    **********************************************************************/
   m[nrl] -= ncl;  /*
     main
   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;    read parameterfile
     read datafile
   m[nrl][ncl]=(double *) malloc((size_t)((nrow*ncol*nlay+NR_END)*sizeof(double)));    concatwav
   if (!m[nrl][ncl]) nrerror("allocation failure 3 in matrix()");    freqsummary
   m[nrl][ncl] += NR_END;    if (mle >= 1)
   m[nrl][ncl] -= nll;      mlikeli
   for (j=ncl+1; j<=nch; j++)    print results files
     m[nrl][j]=m[nrl][j-1]+nlay;    if mle==1 
         computes hessian
   for (i=nrl+1; i<=nrh; i++) {    read end of parameter file: agemin, agemax, bage, fage, estepm
     m[i][ncl]=m[i-1l][ncl]+ncol*nlay;        begin-prev-date,...
     for (j=ncl+1; j<=nch; j++)    open gnuplot file
       m[i][j]=m[i][j-1]+nlay;    open html file
   }    period (stable) prevalence
   return m;     for age prevalim()
 }    h Pij x
     variance of p varprob
 /*************************free ma3x ************************/    forecasting if prevfcast==1 prevforecast call prevalence()
 void free_ma3x(double ***m, long nrl, long nrh, long ncl, long nch,long nll, long nlh)    health expectancies
 {    Variance-covariance of DFLE
   free((FREE_ARG)(m[nrl][ncl]+ nll-NR_END));    prevalence()
   free((FREE_ARG)(m[nrl]+ncl-NR_END));     movingaverage()
   free((FREE_ARG)(m+nrl-NR_END));    varevsij() 
 }    if popbased==1 varevsij(,popbased)
     total life expectancies
 /***************** f1dim *************************/    Variance of period (stable) prevalence
 extern int ncom;   end
 extern double *pcom,*xicom;  */
 extern double (*nrfunc)(double []);  
    
 double f1dim(double x)  
 {   
   int j;  #include <math.h>
   double f;  #include <stdio.h>
   double *xt;  #include <stdlib.h>
    #include <string.h>
   xt=vector(1,ncom);  #include <unistd.h>
   for (j=1;j<=ncom;j++) xt[j]=pcom[j]+x*xicom[j];  
   f=(*nrfunc)(xt);  #include <limits.h>
   free_vector(xt,1,ncom);  #include <sys/types.h>
   return f;  #include <sys/stat.h>
 }  #include <errno.h>
   extern int errno;
 /*****************brent *************************/  
 double brent(double ax, double bx, double cx, double (*f)(double), double tol,  double *xmin)  /* #include <sys/time.h> */
 {  #include <time.h>
   int iter;  #include "timeval.h"
   double a,b,d,etemp;  
   double fu,fv,fw,fx;  #ifdef GSL
   double ftemp;  #include <gsl/gsl_errno.h>
   double p,q,r,tol1,tol2,u,v,w,x,xm;  #include <gsl/gsl_multimin.h>
   double e=0.0;  #endif
    
   a=(ax < cx ? ax : cx);  /* #include <libintl.h> */
   b=(ax > cx ? ax : cx);  /* #define _(String) gettext (String) */
   x=w=v=bx;  
   fw=fv=fx=(*f)(x);  #define MAXLINE 256
   for (iter=1;iter<=ITMAX;iter++) {  
     xm=0.5*(a+b);  #define GNUPLOTPROGRAM "gnuplot"
     tol2=2.0*(tol1=tol*fabs(x)+ZEPS);  /*#define GNUPLOTPROGRAM "..\\gp37mgw\\wgnuplot"*/
     /*          if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret)))*/  #define FILENAMELENGTH 132
     printf(".");fflush(stdout);  
 #ifdef DEBUG  #define GLOCK_ERROR_NOPATH              -1      /* empty path */
     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 GLOCK_ERROR_GETCWD              -2      /* cannot get cwd */
     /*          if ((fabs(x-xm) <= (tol2-0.5*(b-a)))||(2.0*fabs(fu-ftemp) <= ftol*1.e-2*(fabs(fu)+fabs(ftemp)))) { */  
 #endif  #define MAXPARM 128 /* Maximum number of parameters for the optimization */
     if (fabs(x-xm) <= (tol2-0.5*(b-a))){  #define NPARMAX 64 /* (nlstate+ndeath-1)*nlstate*ncovmodel */
       *xmin=x;  
       return fx;  #define NINTERVMAX 8
     }  #define NLSTATEMAX 8 /* Maximum number of live states (for func) */
     ftemp=fu;  #define NDEATHMAX 8 /* Maximum number of dead states (for func) */
     if (fabs(e) > tol1) {  #define NCOVMAX 20 /* Maximum number of covariates */
       r=(x-w)*(fx-fv);  #define MAXN 20000
       q=(x-v)*(fx-fw);  #define YEARM 12. /* Number of months per year */
       p=(x-v)*q-(x-w)*r;  #define AGESUP 130
       q=2.0*(q-r);  #define AGEBASE 40
       if (q > 0.0) p = -p;  #define AGEGOMP 10. /* Minimal age for Gompertz adjustment */
       q=fabs(q);  #ifdef UNIX
       etemp=e;  #define DIRSEPARATOR '/'
       e=d;  #define CHARSEPARATOR "/"
       if (fabs(p) >= fabs(0.5*q*etemp) || p <= q*(a-x) || p >= q*(b-x))  #define ODIRSEPARATOR '\\'
         d=CGOLD*(e=(x >= xm ? a-x : b-x));  #else
       else {  #define DIRSEPARATOR '\\'
         d=p/q;  #define CHARSEPARATOR "\\"
         u=x+d;  #define ODIRSEPARATOR '/'
         if (u-a < tol2 || b-u < tol2)  #endif
           d=SIGN(tol1,xm-x);  
       }  /* $Id$ */
     } else {  /* $State$ */
       d=CGOLD*(e=(x >= xm ? a-x : b-x));  
     }  char version[]="Imach version 0.98m, April 2010, INED-EUROREVES-Institut de longevite ";
     u=(fabs(d) >= tol1 ? x+d : x+SIGN(tol1,d));  char fullversion[]="$Revision$ $Date$"; 
     fu=(*f)(u);  char strstart[80];
     if (fu <= fx) {  char optionfilext[10], optionfilefiname[FILENAMELENGTH];
       if (u >= x) a=x; else b=x;  int erreur=0, nberr=0, nbwarn=0; /* Error number, number of errors number of warnings  */
       SHFT(v,w,x,u)  int nvar=0, nforce=0; /* Number of variables, number of forces */
         SHFT(fv,fw,fx,fu)  int cptcovn=0, cptcovage=0, cptcoveff=0,cptcov=0; /* Number of covariates, of covariates with '*age' */
         } else {  int npar=NPARMAX;
           if (u < x) a=u; else b=u;  int nlstate=2; /* Number of live states */
           if (fu <= fw || w == x) {  int ndeath=1; /* Number of dead states */
             v=w;  int ncovmodel=0, ncovcol=0;     /* Total number of covariables including constant a12*1 +b12*x ncovmodel=2 */
             w=u;  int popbased=0;
             fv=fw;  
             fw=fu;  int *wav; /* Number of waves for this individuual 0 is possible */
           } else if (fu <= fv || v == x || v == w) {  int maxwav=0; /* Maxim number of waves */
             v=u;  int jmin=0, jmax=0; /* min, max spacing between 2 waves */
             fv=fu;  int ijmin=0, ijmax=0; /* Individuals having jmin and jmax */ 
           }  int gipmx=0, gsw=0; /* Global variables on the number of contributions 
         }                     to the likelihood and the sum of weights (done by funcone)*/
   }  int mle=1, weightopt=0;
   nrerror("Too many iterations in brent");  int **mw; /* mw[mi][i] is number of the mi wave for this individual */
   *xmin=x;  int **dh; /* dh[mi][i] is number of steps between mi,mi+1 for this individual */
   return fx;  int **bh; /* bh[mi][i] is the bias (+ or -) for this individual if the delay between
 }             * wave mi and wave mi+1 is not an exact multiple of stepm. */
   double jmean=1; /* Mean space between 2 waves */
 /****************** mnbrak ***********************/  double **oldm, **newm, **savm; /* Working pointers to matrices */
   double **oldms, **newms, **savms; /* Fixed working pointers to matrices */
 void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, double *fc,  /*FILE *fic ; */ /* Used in readdata only */
             double (*func)(double))  FILE *ficpar, *ficparo,*ficres, *ficresp, *ficrespl, *ficrespij, *ficrest,*ficresf,*ficrespop;
 {  FILE *ficlog, *ficrespow;
   double ulim,u,r,q, dum;  int globpr=0; /* Global variable for printing or not */
   double fu;  double fretone; /* Only one call to likelihood */
    long ipmx=0; /* Number of contributions */
   *fa=(*func)(*ax);  double sw; /* Sum of weights */
   *fb=(*func)(*bx);  char filerespow[FILENAMELENGTH];
   if (*fb > *fa) {  char fileresilk[FILENAMELENGTH]; /* File of individual contributions to the likelihood */
     SHFT(dum,*ax,*bx,dum)  FILE *ficresilk;
       SHFT(dum,*fb,*fa,dum)  FILE *ficgp,*ficresprob,*ficpop, *ficresprobcov, *ficresprobcor;
       }  FILE *ficresprobmorprev;
   *cx=(*bx)+GOLD*(*bx-*ax);  FILE *fichtm, *fichtmcov; /* Html File */
   *fc=(*func)(*cx);  FILE *ficreseij;
   while (*fb > *fc) {  char filerese[FILENAMELENGTH];
     r=(*bx-*ax)*(*fb-*fc);  FILE *ficresstdeij;
     q=(*bx-*cx)*(*fb-*fa);  char fileresstde[FILENAMELENGTH];
     u=(*bx)-((*bx-*cx)*q-(*bx-*ax)*r)/  FILE *ficrescveij;
       (2.0*SIGN(FMAX(fabs(q-r),TINY),q-r));  char filerescve[FILENAMELENGTH];
     ulim=(*bx)+GLIMIT*(*cx-*bx);  FILE  *ficresvij;
     if ((*bx-u)*(u-*cx) > 0.0) {  char fileresv[FILENAMELENGTH];
       fu=(*func)(u);  FILE  *ficresvpl;
     } else if ((*cx-u)*(u-ulim) > 0.0) {  char fileresvpl[FILENAMELENGTH];
       fu=(*func)(u);  char title[MAXLINE];
       if (fu < *fc) {  char optionfile[FILENAMELENGTH], datafile[FILENAMELENGTH],  filerespl[FILENAMELENGTH];
         SHFT(*bx,*cx,u,*cx+GOLD*(*cx-*bx))  char plotcmd[FILENAMELENGTH], pplotcmd[FILENAMELENGTH];
           SHFT(*fb,*fc,fu,(*func)(u))  char tmpout[FILENAMELENGTH],  tmpout2[FILENAMELENGTH]; 
           }  char command[FILENAMELENGTH];
     } else if ((u-ulim)*(ulim-*cx) >= 0.0) {  int  outcmd=0;
       u=ulim;  
       fu=(*func)(u);  char fileres[FILENAMELENGTH], filerespij[FILENAMELENGTH], filereso[FILENAMELENGTH], rfileres[FILENAMELENGTH];
     } else {  
       u=(*cx)+GOLD*(*cx-*bx);  char filelog[FILENAMELENGTH]; /* Log file */
       fu=(*func)(u);  char filerest[FILENAMELENGTH];
     }  char fileregp[FILENAMELENGTH];
     SHFT(*ax,*bx,*cx,u)  char popfile[FILENAMELENGTH];
       SHFT(*fa,*fb,*fc,fu)  
       }  char optionfilegnuplot[FILENAMELENGTH], optionfilehtm[FILENAMELENGTH], optionfilehtmcov[FILENAMELENGTH] ;
 }  
   struct timeval start_time, end_time, curr_time, last_time, forecast_time;
 /*************** linmin ************************/  struct timezone tzp;
   extern int gettimeofday();
 int ncom;  struct tm tmg, tm, tmf, *gmtime(), *localtime();
 double *pcom,*xicom;  long time_value;
 double (*nrfunc)(double []);  extern long time();
    char strcurr[80], strfor[80];
 void linmin(double p[], double xi[], int n, double *fret,double (*func)(double []))  
 {  char *endptr;
   double brent(double ax, double bx, double cx,  long lval;
                double (*f)(double), double tol, double *xmin);  double dval;
   double f1dim(double x);  
   void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb,  #define NR_END 1
               double *fc, double (*func)(double));  #define FREE_ARG char*
   int j;  #define FTOL 1.0e-10
   double xx,xmin,bx,ax;  
   double fx,fb,fa;  #define NRANSI 
    #define ITMAX 200 
   ncom=n;  
   pcom=vector(1,n);  #define TOL 2.0e-4 
   xicom=vector(1,n);  
   nrfunc=func;  #define CGOLD 0.3819660 
   for (j=1;j<=n;j++) {  #define ZEPS 1.0e-10 
     pcom[j]=p[j];  #define SHFT(a,b,c,d) (a)=(b);(b)=(c);(c)=(d); 
     xicom[j]=xi[j];  
   }  #define GOLD 1.618034 
   ax=0.0;  #define GLIMIT 100.0 
   xx=1.0;  #define TINY 1.0e-20 
   mnbrak(&ax,&xx,&bx,&fa,&fx,&fb,f1dim);  
   *fret=brent(ax,xx,bx,f1dim,TOL,&xmin);  static double maxarg1,maxarg2;
 #ifdef DEBUG  #define FMAX(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)>(maxarg2)? (maxarg1):(maxarg2))
   printf("retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);  #define FMIN(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)<(maxarg2)? (maxarg1):(maxarg2))
 #endif    
   for (j=1;j<=n;j++) {  #define SIGN(a,b) ((b)>0.0 ? fabs(a) : -fabs(a))
     xi[j] *= xmin;  #define rint(a) floor(a+0.5)
     p[j] += xi[j];  
   }  static double sqrarg;
   free_vector(xicom,1,n);  #define SQR(a) ((sqrarg=(a)) == 0.0 ? 0.0 :sqrarg*sqrarg)
   free_vector(pcom,1,n);  #define SWAP(a,b) {temp=(a);(a)=(b);(b)=temp;} 
 }  int agegomp= AGEGOMP;
   
 /*************** powell ************************/  int imx; 
 void powell(double p[], double **xi, int n, double ftol, int *iter, double *fret,  int stepm=1;
             double (*func)(double []))  /* Stepm, step in month: minimum step interpolation*/
 {  
   void linmin(double p[], double xi[], int n, double *fret,  int estepm;
               double (*func)(double []));  /* Estepm, step in month to interpolate survival function in order to approximate Life Expectancy*/
   int i,ibig,j;  
   double del,t,*pt,*ptt,*xit;  int m,nb;
   double fp,fptt;  long *num;
   double *xits;  int firstpass=0, lastpass=4,*cod, *ncodemax, *Tage,*cens;
   pt=vector(1,n);  double **agev,*moisnais, *annais, *moisdc, *andc,**mint, **anint;
   ptt=vector(1,n);  double **pmmij, ***probs;
   xit=vector(1,n);  double *ageexmed,*agecens;
   xits=vector(1,n);  double dateintmean=0;
   *fret=(*func)(p);  
   for (j=1;j<=n;j++) pt[j]=p[j];  double *weight;
   for (*iter=1;;++(*iter)) {  int **s; /* Status */
     fp=(*fret);  double *agedc, **covar, idx;
     ibig=0;  int **nbcode, *Tvar, **codtab, **Tvard, *Tprod, cptcovprod, *Tvaraff;
     del=0.0;  double *lsurv, *lpop, *tpop;
     printf("\nPowell iter=%d -2*LL=%.12f",*iter,*fret);  
     for (i=1;i<=n;i++)  double ftol=FTOL; /* Tolerance for computing Max Likelihood */
       printf(" %d %.12f",i, p[i]);  double ftolhess; /* Tolerance for computing hessian */
     printf("\n");  
     for (i=1;i<=n;i++) {  /**************** split *************************/
       for (j=1;j<=n;j++) xit[j]=xi[j][i];  static  int split( char *path, char *dirc, char *name, char *ext, char *finame )
       fptt=(*fret);  {
 #ifdef DEBUG    /* From a file name with (full) path (either Unix or Windows) we extract the directory (dirc)
       printf("fret=%lf \n",*fret);       the name of the file (name), its extension only (ext) and its first part of the name (finame)
 #endif    */ 
       printf("%d",i);fflush(stdout);    char  *ss;                            /* pointer */
       linmin(p,xit,n,fret,func);    int   l1, l2;                         /* length counters */
       if (fabs(fptt-(*fret)) > del) {  
         del=fabs(fptt-(*fret));    l1 = strlen(path );                   /* length of path */
         ibig=i;    if ( l1 == 0 ) return( GLOCK_ERROR_NOPATH );
       }    ss= strrchr( path, DIRSEPARATOR );            /* find last / */
 #ifdef DEBUG    if ( ss == NULL ) {                   /* no directory, so determine current directory */
       printf("%d %.12e",i,(*fret));      strcpy( name, path );               /* we got the fullname name because no directory */
       for (j=1;j<=n;j++) {      /*if(strrchr(path, ODIRSEPARATOR )==NULL)
         xits[j]=FMAX(fabs(p[j]-pt[j]),1.e-5);        printf("Warning you should use %s as a separator\n",DIRSEPARATOR);*/
         printf(" x(%d)=%.12e",j,xit[j]);      /* get current working directory */
       }      /*    extern  char* getcwd ( char *buf , int len);*/
       for(j=1;j<=n;j++)      if ( getcwd( dirc, FILENAME_MAX ) == NULL ) {
         printf(" p=%.12e",p[j]);        return( GLOCK_ERROR_GETCWD );
       printf("\n");      }
 #endif      /* got dirc from getcwd*/
     }      printf(" DIRC = %s \n",dirc);
     if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret))) {    } else {                              /* strip direcotry from path */
 #ifdef DEBUG      ss++;                               /* after this, the filename */
       int k[2],l;      l2 = strlen( ss );                  /* length of filename */
       k[0]=1;      if ( l2 == 0 ) return( GLOCK_ERROR_NOPATH );
       k[1]=-1;      strcpy( name, ss );         /* save file name */
       printf("Max: %.12e",(*func)(p));      strncpy( dirc, path, l1 - l2 );     /* now the directory */
       for (j=1;j<=n;j++)      dirc[l1-l2] = 0;                    /* add zero */
         printf(" %.12e",p[j]);      printf(" DIRC2 = %s \n",dirc);
       printf("\n");    }
       for(l=0;l<=1;l++) {    /* We add a separator at the end of dirc if not exists */
         for (j=1;j<=n;j++) {    l1 = strlen( dirc );                  /* length of directory */
           ptt[j]=p[j]+(p[j]-pt[j])*k[l];    if( dirc[l1-1] != DIRSEPARATOR ){
           printf("l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);      dirc[l1] =  DIRSEPARATOR;
         }      dirc[l1+1] = 0; 
         printf("func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));      printf(" DIRC3 = %s \n",dirc);
       }    }
 #endif    ss = strrchr( name, '.' );            /* find last / */
     if (ss >0){
       ss++;
       free_vector(xit,1,n);      strcpy(ext,ss);                     /* save extension */
       free_vector(xits,1,n);      l1= strlen( name);
       free_vector(ptt,1,n);      l2= strlen(ss)+1;
       free_vector(pt,1,n);      strncpy( finame, name, l1-l2);
       return;      finame[l1-l2]= 0;
     }    }
     if (*iter == ITMAX) nrerror("powell exceeding maximum iterations.");  
     for (j=1;j<=n;j++) {    return( 0 );                          /* we're done */
       ptt[j]=2.0*p[j]-pt[j];  }
       xit[j]=p[j]-pt[j];  
       pt[j]=p[j];  
     }  /******************************************/
     fptt=(*func)(ptt);  
     if (fptt < fp) {  void replace_back_to_slash(char *s, char*t)
       t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)-del*SQR(fp-fptt);  {
       if (t < 0.0) {    int i;
         linmin(p,xit,n,fret,func);    int lg=0;
         for (j=1;j<=n;j++) {    i=0;
           xi[j][ibig]=xi[j][n];    lg=strlen(t);
           xi[j][n]=xit[j];    for(i=0; i<= lg; i++) {
         }      (s[i] = t[i]);
 #ifdef DEBUG      if (t[i]== '\\') s[i]='/';
         printf("Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);    }
         for(j=1;j<=n;j++)  }
           printf(" %.12e",xit[j]);  
         printf("\n");  char *trimbb(char *out, char *in)
 #endif  { /* Trim multiple blanks in line but keeps first blanks if line starts with blanks */
       }    char *s;
     }    s=out;
   }    while (*in != '\0'){
 }      while( *in == ' ' && *(in+1) == ' '){ /* && *(in+1) != '\0'){*/
         in++;
 /**** Prevalence limit ****************/      }
       *out++ = *in++;
 double **prevalim(double **prlim, int nlstate, double x[], double age, double **oldm, double **savm, double ftolpl, int ij)    }
 {    *out='\0';
   /* Computes the prevalence limit in each live state at age x by left multiplying the unit    return s;
      matrix by transitions matrix until convergence is reached */  }
   
   int i, ii,j,k;  char *cutv(char *blocc, char *alocc, char *in, char occ)
   double min, max, maxmin, maxmax,sumnew=0.;  {
   double **matprod2();    /* cuts string in into blocc and alocc where blocc ends before last occurence of char 'occ' 
   double **out, cov[NCOVMAX], **pmij();       and alocc starts after last occurence of char 'occ' : ex cutv(blocc,alocc,"abcdef2ghi2j",'2')
   double **newm;       gives blocc="abcdef2ghi" and alocc="j".
   double agefin, delaymax=50 ; /* Max number of years to converge */       If occ is not found blocc is null and alocc is equal to in. Returns alocc
     */
   for (ii=1;ii<=nlstate+ndeath;ii++)    char *s, *t;
     for (j=1;j<=nlstate+ndeath;j++){    t=in;s=in;
       oldm[ii][j]=(ii==j ? 1.0 : 0.0);    while (*in != '\0'){
     }      while( *in == occ){
         *blocc++ = *in++;
    cov[1]=1.;        s=in;
        }
  /* Even if hstepm = 1, at least one multiplication by the unit matrix */      *blocc++ = *in++;
   for(agefin=age-stepm/YEARM; agefin>=age-delaymax; agefin=agefin-stepm/YEARM){    }
     newm=savm;    if (s == t) /* occ not found */
     /* Covariates have to be included here again */      *(blocc-(in-s))='\0';
      cov[2]=agefin;    else
        *(blocc-(in-s)-1)='\0';
       for (k=1; k<=cptcovn;k++) {    in=s;
         cov[2+k]=nbcode[Tvar[k]][codtab[ij][Tvar[k]]];    while ( *in != '\0'){
         /*printf("ij=%d Tvar[k]=%d nbcode=%d cov=%lf\n",ij, Tvar[k],nbcode[Tvar[k]][codtab[ij][Tvar[k]]],cov[2+k]);*/      *alocc++ = *in++;
       }    }
       for (k=1; k<=cptcovage;k++)  
         cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2];    *alocc='\0';
       for (k=1; k<=cptcovprod;k++)    return s;
         cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]]*nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]];  }
   
       /*printf("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/  int nbocc(char *s, char occ)
       /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/  {
     int i,j=0;
     out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm);    int lg=20;
     i=0;
     savm=oldm;    lg=strlen(s);
     oldm=newm;    for(i=0; i<= lg; i++) {
     maxmax=0.;    if  (s[i] == occ ) j++;
     for(j=1;j<=nlstate;j++){    }
       min=1.;    return j;
       max=0.;  }
       for(i=1; i<=nlstate; i++) {  
         sumnew=0;  /* void cutv(char *u,char *v, char*t, char occ) */
         for(k=1; k<=ndeath; k++) sumnew+=newm[i][nlstate+k];  /* { */
         prlim[i][j]= newm[i][j]/(1-sumnew);  /*   /\* cuts string t into u and v where u ends before last occurence of char 'occ'  */
         max=FMAX(max,prlim[i][j]);  /*      and v starts after last occurence of char 'occ' : ex cutv(u,v,"abcdef2ghi2j",'2') */
         min=FMIN(min,prlim[i][j]);  /*      gives u="abcdef2ghi" and v="j" *\/ */
       }  /*   int i,lg,j,p=0; */
       maxmin=max-min;  /*   i=0; */
       maxmax=FMAX(maxmax,maxmin);  /*   lg=strlen(t); */
     }  /*   for(j=0; j<=lg-1; j++) { */
     if(maxmax < ftolpl){  /*     if((t[j]!= occ) && (t[j+1]== occ)) p=j+1; */
       return prlim;  /*   } */
     }  
   }  /*   for(j=0; j<p; j++) { */
 }  /*     (u[j] = t[j]); */
   /*   } */
 /*************** transition probabilities ***************/  /*      u[p]='\0'; */
   
 double **pmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )  /*    for(j=0; j<= lg; j++) { */
 {  /*     if (j>=(p+1))(v[j-p-1] = t[j]); */
   double s1, s2;  /*   } */
   /*double t34;*/  /* } */
   int i,j,j1, nc, ii, jj;  
   /********************** nrerror ********************/
     for(i=1; i<= nlstate; i++){  
     for(j=1; j<i;j++){  void nrerror(char error_text[])
       for (nc=1, s2=0.;nc <=ncovmodel; nc++){  {
         /*s2 += param[i][j][nc]*cov[nc];*/    fprintf(stderr,"ERREUR ...\n");
         s2 += x[(i-1)*nlstate*ncovmodel+(j-1)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];    fprintf(stderr,"%s\n",error_text);
         /*printf("Int j<i s1=%.17e, s2=%.17e\n",s1,s2);*/    exit(EXIT_FAILURE);
       }  }
       ps[i][j]=s2;  /*********************** vector *******************/
       /*printf("s1=%.17e, s2=%.17e\n",s1,s2);*/  double *vector(int nl, int nh)
     }  {
     for(j=i+1; j<=nlstate+ndeath;j++){    double *v;
       for (nc=1, s2=0.;nc <=ncovmodel; nc++){    v=(double *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(double)));
         s2 += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];    if (!v) nrerror("allocation failure in vector");
         /*printf("Int j>i s1=%.17e, s2=%.17e %lx %lx\n",s1,s2,s1,s2);*/    return v-nl+NR_END;
       }  }
       ps[i][j]=(s2);  
     }  /************************ free vector ******************/
   }  void free_vector(double*v, int nl, int nh)
     /*ps[3][2]=1;*/  {
     free((FREE_ARG)(v+nl-NR_END));
   for(i=1; i<= nlstate; i++){  }
      s1=0;  
     for(j=1; j<i; j++)  /************************ivector *******************************/
       s1+=exp(ps[i][j]);  int *ivector(long nl,long nh)
     for(j=i+1; j<=nlstate+ndeath; j++)  {
       s1+=exp(ps[i][j]);    int *v;
     ps[i][i]=1./(s1+1.);    v=(int *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(int)));
     for(j=1; j<i; j++)    if (!v) nrerror("allocation failure in ivector");
       ps[i][j]= exp(ps[i][j])*ps[i][i];    return v-nl+NR_END;
     for(j=i+1; j<=nlstate+ndeath; j++)  }
       ps[i][j]= exp(ps[i][j])*ps[i][i];  
     /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */  /******************free ivector **************************/
   } /* end i */  void free_ivector(int *v, long nl, long nh)
   {
   for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){    free((FREE_ARG)(v+nl-NR_END));
     for(jj=1; jj<= nlstate+ndeath; jj++){  }
       ps[ii][jj]=0;  
       ps[ii][ii]=1;  /************************lvector *******************************/
     }  long *lvector(long nl,long nh)
   }  {
     long *v;
     v=(long *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(long)));
   /*   for(ii=1; ii<= nlstate+ndeath; ii++){    if (!v) nrerror("allocation failure in ivector");
     for(jj=1; jj<= nlstate+ndeath; jj++){    return v-nl+NR_END;
      printf("%lf ",ps[ii][jj]);  }
    }  
     printf("\n ");  /******************free lvector **************************/
     }  void free_lvector(long *v, long nl, long nh)
     printf("\n ");printf("%lf ",cov[2]);*/  {
 /*    free((FREE_ARG)(v+nl-NR_END));
   for(i=1; i<= npar; i++) printf("%f ",x[i]);  }
   goto end;*/  
     return ps;  /******************* imatrix *******************************/
 }  int **imatrix(long nrl, long nrh, long ncl, long nch) 
        /* allocate a int matrix with subscript range m[nrl..nrh][ncl..nch] */ 
 /**************** Product of 2 matrices ******************/  { 
     long i, nrow=nrh-nrl+1,ncol=nch-ncl+1; 
 double **matprod2(double **out, double **in,long nrl, long nrh, long ncl, long nch, long ncolol, long ncoloh, double **b)    int **m; 
 {    
   /* Computes the matrix product of in(1,nrh-nrl+1)(1,nch-ncl+1) times    /* allocate pointers to rows */ 
      b(1,nch-ncl+1)(1,ncoloh-ncolol+1) into out(...) */    m=(int **) malloc((size_t)((nrow+NR_END)*sizeof(int*))); 
   /* in, b, out are matrice of pointers which should have been initialized    if (!m) nrerror("allocation failure 1 in matrix()"); 
      before: only the contents of out is modified. The function returns    m += NR_END; 
      a pointer to pointers identical to out */    m -= nrl; 
   long i, j, k;    
   for(i=nrl; i<= nrh; i++)    
     for(k=ncolol; k<=ncoloh; k++)    /* allocate rows and set pointers to them */ 
       for(j=ncl,out[i][k]=0.; j<=nch; j++)    m[nrl]=(int *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(int))); 
         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; 
     
 /************* Higher Matrix Product ***************/    /* return pointer to array of pointers to rows */ 
     return m; 
 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_imatrix *************************/
      duration (i.e. until  void free_imatrix(m,nrl,nrh,ncl,nch)
      age (in years)  age+nhstepm*stepm/12) by multiplying nhstepm*hstepm matrices.        int **m;
      Output is stored in matrix po[i][j][h] for h every 'hstepm' step        long nch,ncl,nrh,nrl; 
      (typically every 2 years instead of every month which is too big).       /* free an int matrix allocated by imatrix() */ 
      Model is determined by parameters x and covariates have to be  { 
      included manually here.    free((FREE_ARG) (m[nrl]+ncl-NR_END)); 
     free((FREE_ARG) (m+nrl-NR_END)); 
      */  } 
   
   int i, j, d, h, k;  /******************* matrix *******************************/
   double **out, cov[NCOVMAX];  double **matrix(long nrl, long nrh, long ncl, long nch)
   double **newm;  {
     long i, nrow=nrh-nrl+1, ncol=nch-ncl+1;
   /* Hstepm could be zero and should return the unit matrix */    double **m;
   for (i=1;i<=nlstate+ndeath;i++)  
     for (j=1;j<=nlstate+ndeath;j++){    m=(double **) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
       oldm[i][j]=(i==j ? 1.0 : 0.0);    if (!m) nrerror("allocation failure 1 in matrix()");
       po[i][j][0]=(i==j ? 1.0 : 0.0);    m += NR_END;
     }    m -= nrl;
   /* Even if hstepm = 1, at least one multiplication by the unit matrix */  
   for(h=1; h <=nhstepm; h++){    m[nrl]=(double *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
     for(d=1; d <=hstepm; d++){    if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
       newm=savm;    m[nrl] += NR_END;
       /* Covariates have to be included here again */    m[nrl] -= ncl;
       cov[1]=1.;  
       cov[2]=age+((h-1)*hstepm + (d-1))*stepm/YEARM;    for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
       for (k=1; k<=cptcovn;k++) cov[2+k]=nbcode[Tvar[k]][codtab[ij][Tvar[k]]];    return m;
       for (k=1; k<=cptcovage;k++)    /* print *(*(m+1)+70) or print m[1][70]; print m+1 or print &(m[1]) 
         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]]];  
   /*************************free matrix ************************/
   void free_matrix(double **m, long nrl, long nrh, long ncl, long nch)
       /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/  {
       /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/    free((FREE_ARG)(m[nrl]+ncl-NR_END));
       out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath,    free((FREE_ARG)(m+nrl-NR_END));
                    pmij(pmmij,cov,ncovmodel,x,nlstate));  }
       savm=oldm;  
       oldm=newm;  /******************* ma3x *******************************/
     }  double ***ma3x(long nrl, long nrh, long ncl, long nch, long nll, long nlh)
     for(i=1; i<=nlstate+ndeath; i++)  {
       for(j=1;j<=nlstate+ndeath;j++) {    long i, j, nrow=nrh-nrl+1, ncol=nch-ncl+1, nlay=nlh-nll+1;
         po[i][j][h]=newm[i][j];    double ***m;
         /*printf("i=%d j=%d h=%d po[i][j][h]=%f ",i,j,h,po[i][j][h]);  
          */    m=(double ***) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
       }    if (!m) nrerror("allocation failure 1 in matrix()");
   } /* end h */    m += NR_END;
   return po;    m -= nrl;
 }  
     m[nrl]=(double **) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
     if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
 /*************** log-likelihood *************/    m[nrl] += NR_END;
 double func( double *x)    m[nrl] -= ncl;
 {  
   int i, ii, j, k, mi, d, kk;    for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
   double l, ll[NLSTATEMAX], cov[NCOVMAX];  
   double **out;    m[nrl][ncl]=(double *) malloc((size_t)((nrow*ncol*nlay+NR_END)*sizeof(double)));
   double sw; /* Sum of weights */    if (!m[nrl][ncl]) nrerror("allocation failure 3 in matrix()");
   double lli; /* Individual log likelihood */    m[nrl][ncl] += NR_END;
   long ipmx;    m[nrl][ncl] -= nll;
   /*extern weight */    for (j=ncl+1; j<=nch; j++) 
   /* We are differentiating ll according to initial status */      m[nrl][j]=m[nrl][j-1]+nlay;
   /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/    
   /*for(i=1;i<imx;i++)    for (i=nrl+1; i<=nrh; i++) {
     printf(" %d\n",s[4][i]);      m[i][ncl]=m[i-1l][ncl]+ncol*nlay;
   */      for (j=ncl+1; j<=nch; j++) 
   cov[1]=1.;        m[i][j]=m[i][j-1]+nlay;
     }
   for(k=1; k<=nlstate; k++) ll[k]=0.;    return m; 
   for (i=1,ipmx=0, sw=0.; i<=imx; i++){    /*  gdb: p *(m+1) <=> p m[1] and p (m+1) <=> p (m+1) <=> p &(m[1])
     for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];             &(m[i][j][k]) <=> *((*(m+i) + j)+k)
     for(mi=1; mi<= wav[i]-1; mi++){    */
       for (ii=1;ii<=nlstate+ndeath;ii++)  }
         for (j=1;j<=nlstate+ndeath;j++) oldm[ii][j]=(ii==j ? 1.0 : 0.0);  
       for(d=0; d<dh[mi][i]; d++){  /*************************free ma3x ************************/
         newm=savm;  void free_ma3x(double ***m, long nrl, long nrh, long ncl, long nch,long nll, long nlh)
         cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;  {
         for (kk=1; kk<=cptcovage;kk++) {    free((FREE_ARG)(m[nrl][ncl]+ nll-NR_END));
           cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];    free((FREE_ARG)(m[nrl]+ncl-NR_END));
         }    free((FREE_ARG)(m+nrl-NR_END));
          }
         out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,  
                      1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));  /*************** function subdirf ***********/
         savm=oldm;  char *subdirf(char fileres[])
         oldm=newm;  {
            /* Caution optionfilefiname is hidden */
            strcpy(tmpout,optionfilefiname);
       } /* end mult */    strcat(tmpout,"/"); /* Add to the right */
          strcat(tmpout,fileres);
       lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);    return tmpout;
       /* printf(" %f ",out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);*/  }
       ipmx +=1;  
       sw += weight[i];  /*************** function subdirf2 ***********/
       ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;  char *subdirf2(char fileres[], char *preop)
     } /* end of wave */  {
   } /* end of individual */    
     /* Caution optionfilefiname is hidden */
   for(k=1,l=0.; k<=nlstate; k++) l += ll[k];    strcpy(tmpout,optionfilefiname);
   /* printf("l1=%f l2=%f ",ll[1],ll[2]); */    strcat(tmpout,"/");
   l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */    strcat(tmpout,preop);
   return -l;    strcat(tmpout,fileres);
 }    return tmpout;
   }
   
 /*********** Maximum Likelihood Estimation ***************/  /*************** function subdirf3 ***********/
   char *subdirf3(char fileres[], char *preop, char *preop2)
 void mlikeli(FILE *ficres,double p[], int npar, int ncovmodel, int nlstate, double ftol, double (*func)(double []))  {
 {    
   int i,j, iter;    /* Caution optionfilefiname is hidden */
   double **xi,*delti;    strcpy(tmpout,optionfilefiname);
   double fret;    strcat(tmpout,"/");
   xi=matrix(1,npar,1,npar);    strcat(tmpout,preop);
   for (i=1;i<=npar;i++)    strcat(tmpout,preop2);
     for (j=1;j<=npar;j++)    strcat(tmpout,fileres);
       xi[i][j]=(i==j ? 1.0 : 0.0);    return tmpout;
   printf("Powell\n");  }
   powell(p,xi,npar,ftol,&iter,&fret,func);  
   /***************** f1dim *************************/
    printf("\n#Number of iterations = %d, -2 Log likelihood = %.12f\n",iter,func(p));  extern int ncom; 
   fprintf(ficres,"#Number of iterations = %d, -2 Log likelihood = %.12f ",iter,func(p));  extern double *pcom,*xicom;
   extern double (*nrfunc)(double []); 
 }   
   double f1dim(double x) 
 /**** Computes Hessian and covariance matrix ***/  { 
 void hesscov(double **matcov, double p[], int npar, double delti[], double ftolhess, double (*func)(double []))    int j; 
 {    double f;
   double  **a,**y,*x,pd;    double *xt; 
   double **hess;   
   int i, j,jk;    xt=vector(1,ncom); 
   int *indx;    for (j=1;j<=ncom;j++) xt[j]=pcom[j]+x*xicom[j]; 
     f=(*nrfunc)(xt); 
   double hessii(double p[], double delta, int theta, double delti[]);    free_vector(xt,1,ncom); 
   double hessij(double p[], double delti[], int i, int j);    return f; 
   void lubksb(double **a, int npar, int *indx, double b[]) ;  } 
   void ludcmp(double **a, int npar, int *indx, double *d) ;  
   /*****************brent *************************/
   hess=matrix(1,npar,1,npar);  double brent(double ax, double bx, double cx, double (*f)(double), double tol,  double *xmin) 
   { 
   printf("\nCalculation of the hessian matrix. Wait...\n");    int iter; 
   for (i=1;i<=npar;i++){    double a,b,d,etemp;
     printf("%d",i);fflush(stdout);    double fu,fv,fw,fx;
     hess[i][i]=hessii(p,ftolhess,i,delti);    double ftemp;
     /*printf(" %f ",p[i]);*/    double p,q,r,tol1,tol2,u,v,w,x,xm; 
     /*printf(" %lf ",hess[i][i]);*/    double e=0.0; 
   }   
      a=(ax < cx ? ax : cx); 
   for (i=1;i<=npar;i++) {    b=(ax > cx ? ax : cx); 
     for (j=1;j<=npar;j++)  {    x=w=v=bx; 
       if (j>i) {    fw=fv=fx=(*f)(x); 
         printf(".%d%d",i,j);fflush(stdout);    for (iter=1;iter<=ITMAX;iter++) { 
         hess[i][j]=hessij(p,delti,i,j);      xm=0.5*(a+b); 
         hess[j][i]=hess[i][j];          tol2=2.0*(tol1=tol*fabs(x)+ZEPS); 
         /*printf(" %lf ",hess[i][j]);*/      /*          if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret)))*/
       }      printf(".");fflush(stdout);
     }      fprintf(ficlog,".");fflush(ficlog);
   }  #ifdef DEBUG
   printf("\n");      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);
   printf("\nInverting the hessian to get the covariance matrix. Wait...\n");      /*          if ((fabs(x-xm) <= (tol2-0.5*(b-a)))||(2.0*fabs(fu-ftemp) <= ftol*1.e-2*(fabs(fu)+fabs(ftemp)))) { */
    #endif
   a=matrix(1,npar,1,npar);      if (fabs(x-xm) <= (tol2-0.5*(b-a))){ 
   y=matrix(1,npar,1,npar);        *xmin=x; 
   x=vector(1,npar);        return fx; 
   indx=ivector(1,npar);      } 
   for (i=1;i<=npar;i++)      ftemp=fu;
     for (j=1;j<=npar;j++) a[i][j]=hess[i][j];      if (fabs(e) > tol1) { 
   ludcmp(a,npar,indx,&pd);        r=(x-w)*(fx-fv); 
         q=(x-v)*(fx-fw); 
   for (j=1;j<=npar;j++) {        p=(x-v)*q-(x-w)*r; 
     for (i=1;i<=npar;i++) x[i]=0;        q=2.0*(q-r); 
     x[j]=1;        if (q > 0.0) p = -p; 
     lubksb(a,npar,indx,x);        q=fabs(q); 
     for (i=1;i<=npar;i++){        etemp=e; 
       matcov[i][j]=x[i];        e=d; 
     }        if (fabs(p) >= fabs(0.5*q*etemp) || p <= q*(a-x) || p >= q*(b-x)) 
   }          d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
         else { 
   printf("\n#Hessian matrix#\n");          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) 
       printf("%.3e ",hess[i][j]);            d=SIGN(tol1,xm-x); 
     }        } 
     printf("\n");      } else { 
   }        d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
       } 
   /* Recompute Inverse */      u=(fabs(d) >= tol1 ? x+d : x+SIGN(tol1,d)); 
   for (i=1;i<=npar;i++)      fu=(*f)(u); 
     for (j=1;j<=npar;j++) a[i][j]=matcov[i][j];      if (fu <= fx) { 
   ludcmp(a,npar,indx,&pd);        if (u >= x) a=x; else b=x; 
         SHFT(v,w,x,u) 
   /*  printf("\n#Hessian matrix recomputed#\n");          SHFT(fv,fw,fx,fu) 
           } else { 
   for (j=1;j<=npar;j++) {            if (u < x) a=u; else b=u; 
     for (i=1;i<=npar;i++) x[i]=0;            if (fu <= fw || w == x) { 
     x[j]=1;              v=w; 
     lubksb(a,npar,indx,x);              w=u; 
     for (i=1;i<=npar;i++){              fv=fw; 
       y[i][j]=x[i];              fw=fu; 
       printf("%.3e ",y[i][j]);            } else if (fu <= fv || v == x || v == w) { 
     }              v=u; 
     printf("\n");              fv=fu; 
   }            } 
   */          } 
     } 
   free_matrix(a,1,npar,1,npar);    nrerror("Too many iterations in brent"); 
   free_matrix(y,1,npar,1,npar);    *xmin=x; 
   free_vector(x,1,npar);    return fx; 
   free_ivector(indx,1,npar);  } 
   free_matrix(hess,1,npar,1,npar);  
   /****************** mnbrak ***********************/
   
 }  void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, double *fc, 
               double (*func)(double)) 
 /*************** hessian matrix ****************/  { 
 double hessii( double x[], double delta, int theta, double delti[])    double ulim,u,r,q, dum;
 {    double fu; 
   int i;   
   int l=1, lmax=20;    *fa=(*func)(*ax); 
   double k1,k2;    *fb=(*func)(*bx); 
   double p2[NPARMAX+1];    if (*fb > *fa) { 
   double res;      SHFT(dum,*ax,*bx,dum) 
   double delt, delts, nkhi=10.,nkhif=1., khi=1.e-4;        SHFT(dum,*fb,*fa,dum) 
   double fx;        } 
   int k=0,kmax=10;    *cx=(*bx)+GOLD*(*bx-*ax); 
   double l1;    *fc=(*func)(*cx); 
     while (*fb > *fc) { 
   fx=func(x);      r=(*bx-*ax)*(*fb-*fc); 
   for (i=1;i<=npar;i++) p2[i]=x[i];      q=(*bx-*cx)*(*fb-*fa); 
   for(l=0 ; l <=lmax; l++){      u=(*bx)-((*bx-*cx)*q-(*bx-*ax)*r)/ 
     l1=pow(10,l);        (2.0*SIGN(FMAX(fabs(q-r),TINY),q-r)); 
     delts=delt;      ulim=(*bx)+GLIMIT*(*cx-*bx); 
     for(k=1 ; k <kmax; k=k+1){      if ((*bx-u)*(u-*cx) > 0.0) { 
       delt = delta*(l1*k);        fu=(*func)(u); 
       p2[theta]=x[theta] +delt;      } else if ((*cx-u)*(u-ulim) > 0.0) { 
       k1=func(p2)-fx;        fu=(*func)(u); 
       p2[theta]=x[theta]-delt;        if (fu < *fc) { 
       k2=func(p2)-fx;          SHFT(*bx,*cx,u,*cx+GOLD*(*cx-*bx)) 
       /*res= (k1-2.0*fx+k2)/delt/delt; */            SHFT(*fb,*fc,fu,(*func)(u)) 
       res= (k1+k2)/delt/delt/2.; /* Divided by because L and not 2*L */            } 
            } else if ((u-ulim)*(ulim-*cx) >= 0.0) { 
 #ifdef DEBUG        u=ulim; 
       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);        fu=(*func)(u); 
 #endif      } else { 
       /*if(fabs(k1-2.0*fx+k2) <1.e-13){ */        u=(*cx)+GOLD*(*cx-*bx); 
       if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)){        fu=(*func)(u); 
         k=kmax;      } 
       }      SHFT(*ax,*bx,*cx,u) 
       else if((k1 >khi/nkhif) || (k2 >khi/nkhif)){ /* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. */        SHFT(*fa,*fb,*fc,fu) 
         k=kmax; l=lmax*10.;        } 
       }  } 
       else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){  
         delts=delt;  /*************** linmin ************************/
       }  
     }  int ncom; 
   }  double *pcom,*xicom;
   delti[theta]=delts;  double (*nrfunc)(double []); 
   return res;   
    void linmin(double p[], double xi[], int n, double *fret,double (*func)(double [])) 
 }  { 
     double brent(double ax, double bx, double cx, 
 double hessij( double x[], double delti[], int thetai,int thetaj)                 double (*f)(double), double tol, double *xmin); 
 {    double f1dim(double x); 
   int i;    void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, 
   int l=1, l1, lmax=20;                double *fc, double (*func)(double)); 
   double k1,k2,k3,k4,res,fx;    int j; 
   double p2[NPARMAX+1];    double xx,xmin,bx,ax; 
   int k;    double fx,fb,fa;
    
   fx=func(x);    ncom=n; 
   for (k=1; k<=2; k++) {    pcom=vector(1,n); 
     for (i=1;i<=npar;i++) p2[i]=x[i];    xicom=vector(1,n); 
     p2[thetai]=x[thetai]+delti[thetai]/k;    nrfunc=func; 
     p2[thetaj]=x[thetaj]+delti[thetaj]/k;    for (j=1;j<=n;j++) { 
     k1=func(p2)-fx;      pcom[j]=p[j]; 
        xicom[j]=xi[j]; 
     p2[thetai]=x[thetai]+delti[thetai]/k;    } 
     p2[thetaj]=x[thetaj]-delti[thetaj]/k;    ax=0.0; 
     k2=func(p2)-fx;    xx=1.0; 
      mnbrak(&ax,&xx,&bx,&fa,&fx,&fb,f1dim); 
     p2[thetai]=x[thetai]-delti[thetai]/k;    *fret=brent(ax,xx,bx,f1dim,TOL,&xmin); 
     p2[thetaj]=x[thetaj]+delti[thetaj]/k;  #ifdef DEBUG
     k3=func(p2)-fx;    printf("retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);
      fprintf(ficlog,"retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);
     p2[thetai]=x[thetai]-delti[thetai]/k;  #endif
     p2[thetaj]=x[thetaj]-delti[thetaj]/k;    for (j=1;j<=n;j++) { 
     k4=func(p2)-fx;      xi[j] *= xmin; 
     res=(k1-k2-k3+k4)/4.0/delti[thetai]*k/delti[thetaj]*k/2.; /* Because of L not 2*L */      p[j] += xi[j]; 
 #ifdef DEBUG    } 
     printf("%d %d k=%d, k1=%.12e k2=%.12e k3=%.12e k4=%.12e delti/k=%.12e deltj/k=%.12e, xi-de/k=%.12e xj-de/k=%.12e  res=%.12e k1234=%.12e,k1-2=%.12e,k3-4=%.12e\n",thetai,thetaj,k,k1,k2,k3,k4,delti[thetai]/k,delti[thetaj]/k,x[thetai]-delti[thetai]/k,x[thetaj]-delti[thetaj]/k, res,k1-k2-k3+k4,k1-k2,k3-k4);    free_vector(xicom,1,n); 
 #endif    free_vector(pcom,1,n); 
   }  } 
   return res;  
 }  char *asc_diff_time(long time_sec, char ascdiff[])
   {
 /************** Inverse of matrix **************/    long sec_left, days, hours, minutes;
 void ludcmp(double **a, int n, int *indx, double *d)    days = (time_sec) / (60*60*24);
 {    sec_left = (time_sec) % (60*60*24);
   int i,imax,j,k;    hours = (sec_left) / (60*60) ;
   double big,dum,sum,temp;    sec_left = (sec_left) %(60*60);
   double *vv;    minutes = (sec_left) /60;
      sec_left = (sec_left) % (60);
   vv=vector(1,n);    sprintf(ascdiff,"%d day(s) %d hour(s) %d minute(s) %d second(s)",days, hours, minutes, sec_left);  
   *d=1.0;    return ascdiff;
   for (i=1;i<=n;i++) {  }
     big=0.0;  
     for (j=1;j<=n;j++)  /*************** powell ************************/
       if ((temp=fabs(a[i][j])) > big) big=temp;  void powell(double p[], double **xi, int n, double ftol, int *iter, double *fret, 
     if (big == 0.0) nrerror("Singular matrix in routine ludcmp");              double (*func)(double [])) 
     vv[i]=1.0/big;  { 
   }    void linmin(double p[], double xi[], int n, double *fret, 
   for (j=1;j<=n;j++) {                double (*func)(double [])); 
     for (i=1;i<j;i++) {    int i,ibig,j; 
       sum=a[i][j];    double del,t,*pt,*ptt,*xit;
       for (k=1;k<i;k++) sum -= a[i][k]*a[k][j];    double fp,fptt;
       a[i][j]=sum;    double *xits;
     }    int niterf, itmp;
     big=0.0;  
     for (i=j;i<=n;i++) {    pt=vector(1,n); 
       sum=a[i][j];    ptt=vector(1,n); 
       for (k=1;k<j;k++)    xit=vector(1,n); 
         sum -= a[i][k]*a[k][j];    xits=vector(1,n); 
       a[i][j]=sum;    *fret=(*func)(p); 
       if ( (dum=vv[i]*fabs(sum)) >= big) {    for (j=1;j<=n;j++) pt[j]=p[j]; 
         big=dum;    for (*iter=1;;++(*iter)) { 
         imax=i;      fp=(*fret); 
       }      ibig=0; 
     }      del=0.0; 
     if (j != imax) {      last_time=curr_time;
       for (k=1;k<=n;k++) {      (void) gettimeofday(&curr_time,&tzp);
         dum=a[imax][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);
         a[imax][k]=a[j][k];      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);
         a[j][k]=dum;  /*     fprintf(ficrespow,"%d %.12f %ld",*iter,*fret,curr_time.tv_sec-start_time.tv_sec); */
       }     for (i=1;i<=n;i++) {
       *d = -(*d);        printf(" %d %.12f",i, p[i]);
       vv[imax]=vv[j];        fprintf(ficlog," %d %.12lf",i, p[i]);
     }        fprintf(ficrespow," %.12lf", p[i]);
     indx[j]=imax;      }
     if (a[j][j] == 0.0) a[j][j]=TINY;      printf("\n");
     if (j != n) {      fprintf(ficlog,"\n");
       dum=1.0/(a[j][j]);      fprintf(ficrespow,"\n");fflush(ficrespow);
       for (i=j+1;i<=n;i++) a[i][j] *= dum;      if(*iter <=3){
     }        tm = *localtime(&curr_time.tv_sec);
   }        strcpy(strcurr,asctime(&tm));
   free_vector(vv,1,n);  /* Doesn't work */  /*       asctime_r(&tm,strcurr); */
 ;        forecast_time=curr_time; 
 }        itmp = strlen(strcurr);
         if(strcurr[itmp-1]=='\n')  /* Windows outputs with a new line */
 void lubksb(double **a, int n, int *indx, double b[])          strcurr[itmp-1]='\0';
 {        printf("\nConsidering the time needed for this last iteration #%d: %ld seconds,\n",*iter,curr_time.tv_sec-last_time.tv_sec);
   int i,ii=0,ip,j;        fprintf(ficlog,"\nConsidering the time needed for this last iteration #%d: %ld seconds,\n",*iter,curr_time.tv_sec-last_time.tv_sec);
   double sum;        for(niterf=10;niterf<=30;niterf+=10){
            forecast_time.tv_sec=curr_time.tv_sec+(niterf-*iter)*(curr_time.tv_sec-last_time.tv_sec);
   for (i=1;i<=n;i++) {          tmf = *localtime(&forecast_time.tv_sec);
     ip=indx[i];  /*      asctime_r(&tmf,strfor); */
     sum=b[ip];          strcpy(strfor,asctime(&tmf));
     b[ip]=b[i];          itmp = strlen(strfor);
     if (ii)          if(strfor[itmp-1]=='\n')
       for (j=ii;j<=i-1;j++) sum -= a[i][j]*b[j];          strfor[itmp-1]='\0';
     else if (sum) ii=i;          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);
     b[i]=sum;          fprintf(ficlog,"   - if your program needs %d iterations to converge, convergence will be \n   reached in %s i.e.\n   on %s (current time is %s);\n",niterf, asc_diff_time(forecast_time.tv_sec-curr_time.tv_sec,tmpout),strfor,strcurr);
   }        }
   for (i=n;i>=1;i--) {      }
     sum=b[i];      for (i=1;i<=n;i++) { 
     for (j=i+1;j<=n;j++) sum -= a[i][j]*b[j];        for (j=1;j<=n;j++) xit[j]=xi[j][i]; 
     b[i]=sum/a[i][i];        fptt=(*fret); 
   }  #ifdef DEBUG
 }        printf("fret=%lf \n",*fret);
         fprintf(ficlog,"fret=%lf \n",*fret);
 /************ Frequencies ********************/  #endif
 void  freqsummary(char fileres[], int agemin, int agemax, int **s, double **agev, int nlstate, int imx, int *Tvar, int **nbcode, int *ncodemax,double **mint,double **anint, double dateprev1,double dateprev2)        printf("%d",i);fflush(stdout);
 {  /* Some frequencies */        fprintf(ficlog,"%d",i);fflush(ficlog);
          linmin(p,xit,n,fret,func); 
   int i, m, jk, k1,i1, j1, bool, z1,z2,j;        if (fabs(fptt-(*fret)) > del) { 
   double ***freq; /* Frequencies */          del=fabs(fptt-(*fret)); 
   double *pp;          ibig=i; 
   double pos, k2, dateintsum=0,k2cpt=0;        } 
   FILE *ficresp;  #ifdef DEBUG
   char fileresp[FILENAMELENGTH];        printf("%d %.12e",i,(*fret));
         fprintf(ficlog,"%d %.12e",i,(*fret));
   pp=vector(1,nlstate);        for (j=1;j<=n;j++) {
   probs= ma3x(1,AGESUP,1,NCOVMAX, 1,NCOVMAX);          xits[j]=FMAX(fabs(p[j]-pt[j]),1.e-5);
   strcpy(fileresp,"p");          printf(" x(%d)=%.12e",j,xit[j]);
   strcat(fileresp,fileres);          fprintf(ficlog," x(%d)=%.12e",j,xit[j]);
   if((ficresp=fopen(fileresp,"w"))==NULL) {        }
     printf("Problem with prevalence resultfile: %s\n", fileresp);        for(j=1;j<=n;j++) {
     exit(0);          printf(" p=%.12e",p[j]);
   }          fprintf(ficlog," p=%.12e",p[j]);
   freq= ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,agemin,agemax+3);        }
   j1=0;        printf("\n");
         fprintf(ficlog,"\n");
   j=cptcoveff;  #endif
   if (cptcovn<1) {j=1;ncodemax[1]=1;}      } 
       if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret))) {
   for(k1=1; k1<=j;k1++){  #ifdef DEBUG
    for(i1=1; i1<=ncodemax[k1];i1++){        int k[2],l;
        j1++;        k[0]=1;
        /*printf("cptcoveff=%d Tvaraff=%d", cptcoveff,Tvaraff[1]);        k[1]=-1;
          scanf("%d", i);*/        printf("Max: %.12e",(*func)(p));
         for (i=-1; i<=nlstate+ndeath; i++)          fprintf(ficlog,"Max: %.12e",(*func)(p));
          for (jk=-1; jk<=nlstate+ndeath; jk++)          for (j=1;j<=n;j++) {
            for(m=agemin; m <= agemax+3; m++)          printf(" %.12e",p[j]);
              freq[i][jk][m]=0;          fprintf(ficlog," %.12e",p[j]);
         }
         dateintsum=0;        printf("\n");
         k2cpt=0;        fprintf(ficlog,"\n");
        for (i=1; i<=imx; i++) {        for(l=0;l<=1;l++) {
          bool=1;          for (j=1;j<=n;j++) {
          if  (cptcovn>0) {            ptt[j]=p[j]+(p[j]-pt[j])*k[l];
            for (z1=1; z1<=cptcoveff; z1++)            printf("l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
              if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtab[j1][z1]])            fprintf(ficlog,"l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
                bool=0;          }
          }          printf("func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
          if (bool==1) {          fprintf(ficlog,"func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
            for(m=firstpass; m<=lastpass; m++){        }
              k2=anint[m][i]+(mint[m][i]/12.);  #endif
              if ((k2>=dateprev1) && (k2<=dateprev2)) {  
                if(agev[m][i]==0) agev[m][i]=agemax+1;  
                if(agev[m][i]==1) agev[m][i]=agemax+2;        free_vector(xit,1,n); 
                freq[s[m][i]][s[m+1][i]][(int)agev[m][i]] += weight[i];        free_vector(xits,1,n); 
                freq[s[m][i]][s[m+1][i]][(int) agemax+3] += weight[i];        free_vector(ptt,1,n); 
                if ((agev[m][i]>1) && (agev[m][i]< (agemax+3))) {        free_vector(pt,1,n); 
                  dateintsum=dateintsum+k2;        return; 
                  k2cpt++;      } 
                }      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]; 
        }      } 
         if  (cptcovn>0) {      fptt=(*func)(ptt); 
          fprintf(ficresp, "\n#********** Variable ");      if (fptt < fp) { 
          for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresp, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);        t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)-del*SQR(fp-fptt); 
        fprintf(ficresp, "**********\n#");        if (t < 0.0) { 
         }          linmin(p,xit,n,fret,func); 
        for(i=1; i<=nlstate;i++)          for (j=1;j<=n;j++) { 
          fprintf(ficresp, " Age Prev(%d) N(%d) N",i,i);            xi[j][ibig]=xi[j][n]; 
        fprintf(ficresp, "\n");            xi[j][n]=xit[j]; 
                  }
   for(i=(int)agemin; i <= (int)agemax+3; i++){  #ifdef DEBUG
     if(i==(int)agemax+3)          printf("Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
       printf("Total");          fprintf(ficlog,"Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
     else          for(j=1;j<=n;j++){
       printf("Age %d", i);            printf(" %.12e",xit[j]);
     for(jk=1; jk <=nlstate ; jk++){            fprintf(ficlog," %.12e",xit[j]);
       for(m=-1, pp[jk]=0; m <=nlstate+ndeath ; m++)          }
         pp[jk] += freq[jk][m][i];          printf("\n");
     }          fprintf(ficlog,"\n");
     for(jk=1; jk <=nlstate ; jk++){  #endif
       for(m=-1, pos=0; m <=0 ; m++)        }
         pos += freq[jk][m][i];      } 
       if(pp[jk]>=1.e-10)    } 
         printf(" %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);  } 
       else  
         printf(" %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);  /**** Prevalence limit (stable or period prevalence)  ****************/
     }  
   double **prevalim(double **prlim, int nlstate, double x[], double age, double **oldm, double **savm, double ftolpl, int ij)
      for(jk=1; jk <=nlstate ; jk++){  {
       for(m=0, pp[jk]=0; m <=nlstate+ndeath; m++)    /* Computes the prevalence limit in each live state at age x by left multiplying the unit
         pp[jk] += freq[jk][m][i];       matrix by transitions matrix until convergence is reached */
      }  
     int i, ii,j,k;
     for(jk=1,pos=0; jk <=nlstate ; jk++)    double min, max, maxmin, maxmax,sumnew=0.;
       pos += pp[jk];    double **matprod2();
     for(jk=1; jk <=nlstate ; jk++){    double **out, cov[NCOVMAX+1], **pmij();
       if(pos>=1.e-5)    double **newm;
         printf(" %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);    double agefin, delaymax=50 ; /* Max number of years to converge */
       else  
         printf(" %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);    for (ii=1;ii<=nlstate+ndeath;ii++)
       if( i <= (int) agemax){      for (j=1;j<=nlstate+ndeath;j++){
         if(pos>=1.e-5){        oldm[ii][j]=(ii==j ? 1.0 : 0.0);
           fprintf(ficresp," %d %.5f %.0f %.0f",i,pp[jk]/pos, pp[jk],pos);      }
           probs[i][jk][j1]= pp[jk]/pos;  
           /*printf("\ni=%d jk=%d j1=%d %.5f %.0f %.0f %f",i,jk,j1,pp[jk]/pos, pp[jk],pos,probs[i][jk][j1]);*/     cov[1]=1.;
         }   
       else   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
           fprintf(ficresp," %d NaNq %.0f %.0f",i,pp[jk],pos);    for(agefin=age-stepm/YEARM; agefin>=age-delaymax; agefin=agefin-stepm/YEARM){
       }      newm=savm;
     }      /* Covariates have to be included here again */
     for(jk=-1; jk <=nlstate+ndeath; jk++)       cov[2]=agefin;
       for(m=-1; m <=nlstate+ndeath; m++)    
         if(freq[jk][m][i] !=0 ) printf(" %d%d=%.0f",jk,m,freq[jk][m][i]);        for (k=1; k<=cptcovn;k++) {
     if(i <= (int) agemax)          cov[2+k]=nbcode[Tvar[k]][codtab[ij][Tvar[k]]];
       fprintf(ficresp,"\n");          /*      printf("ij=%d k=%d Tvar[k]=%d nbcode=%d cov=%lf codtab[ij][Tvar[k]]=%d \n",ij,k, Tvar[k],nbcode[Tvar[k]][codtab[ij][Tvar[k]]],cov[2+k], codtab[ij][Tvar[k]]);*/
     printf("\n");        }
     }        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]]];
   dateintmean=dateintsum/k2cpt;  
          /*printf("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/
   fclose(ficresp);        /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/
   free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath,(int) agemin,(int) agemax+3);        /*printf("ij=%d cov[3]=%lf \n",ij, cov[3]);*/
   free_vector(pp,1,nlstate);      out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm);
   
   /* End of Freq */      savm=oldm;
 }      oldm=newm;
       maxmax=0.;
 /************ Prevalence ********************/      for(j=1;j<=nlstate;j++){
 void prevalence(int agemin, int agemax, int **s, double **agev, int nlstate, int imx, int *Tvar, int **nbcode, int *ncodemax,double **mint,double **anint, double dateprev1,double dateprev2, double calagedate)        min=1.;
 {  /* Some frequencies */        max=0.;
          for(i=1; i<=nlstate; i++) {
   int i, m, jk, k1, i1, j1, bool, z1,z2,j;          sumnew=0;
   double ***freq; /* Frequencies */          for(k=1; k<=ndeath; k++) sumnew+=newm[i][nlstate+k];
   double *pp;          prlim[i][j]= newm[i][j]/(1-sumnew);
   double pos, k2;          max=FMAX(max,prlim[i][j]);
           min=FMIN(min,prlim[i][j]);
   pp=vector(1,nlstate);        }
   probs= ma3x(1,AGESUP,1,NCOVMAX, 1,NCOVMAX);        maxmin=max-min;
          maxmax=FMAX(maxmax,maxmin);
   freq=ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,agemin,agemax+3);      }
   j1=0;      if(maxmax < ftolpl){
          return prlim;
   j=cptcoveff;      }
   if (cptcovn<1) {j=1;ncodemax[1]=1;}    }
    }
  for(k1=1; k1<=j;k1++){  
     for(i1=1; i1<=ncodemax[k1];i1++){  /*************** transition probabilities ***************/ 
       j1++;  
    double **pmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )
       for (i=-1; i<=nlstate+ndeath; i++)    {
         for (jk=-1; jk<=nlstate+ndeath; jk++)      double s1, s2;
           for(m=agemin; m <= agemax+3; m++)    /*double t34;*/
             freq[i][jk][m]=0;    int i,j,j1, nc, ii, jj;
        
       for (i=1; i<=imx; i++) {      for(i=1; i<= nlstate; i++){
         bool=1;        for(j=1; j<i;j++){
         if  (cptcovn>0) {          for (nc=1, s2=0.;nc <=ncovmodel; nc++){
           for (z1=1; z1<=cptcoveff; z1++)            /*s2 += param[i][j][nc]*cov[nc];*/
             if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtab[j1][z1]])            s2 += x[(i-1)*nlstate*ncovmodel+(j-1)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];
               bool=0;  /*       printf("Int j<i s1=%.17e, s2=%.17e\n",s1,s2); */
         }          }
         if (bool==1) {          ps[i][j]=s2;
           for(m=firstpass; m<=lastpass; m++){  /*      printf("s1=%.17e, s2=%.17e\n",s1,s2); */
             k2=anint[m][i]+(mint[m][i]/12.);        }
             if ((k2>=dateprev1) && (k2<=dateprev2)) {        for(j=i+1; j<=nlstate+ndeath;j++){
               if(agev[m][i]==0) agev[m][i]=agemax+1;          for (nc=1, s2=0.;nc <=ncovmodel; nc++){
               if(agev[m][i]==1) agev[m][i]=agemax+2;            s2 += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];
               freq[s[m][i]][s[m+1][i]][(int)(agev[m][i]+1-((int)calagedate %12)/12.)] += weight[i];  /*        printf("Int j>i s1=%.17e, s2=%.17e %lx %lx\n",s1,s2,s1,s2); */
               freq[s[m][i]][s[m+1][i]][(int)(agemax+3+1)] += weight[i];            }
             }          ps[i][j]=s2;
           }        }
         }      }
       }      /*ps[3][2]=1;*/
            
         for(i=(int)agemin; i <= (int)agemax+3; i++){      for(i=1; i<= nlstate; i++){
           for(jk=1; jk <=nlstate ; jk++){        s1=0;
             for(m=-1, pp[jk]=0; m <=nlstate+ndeath ; m++)        for(j=1; j<i; j++){
               pp[jk] += freq[jk][m][i];          s1+=exp(ps[i][j]);
           }          /*printf("debug1 %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 ; jk++){        }
             for(m=-1, pos=0; m <=0 ; m++)        for(j=i+1; j<=nlstate+ndeath; j++){
             pos += freq[jk][m][i];          s1+=exp(ps[i][j]);
         }          /*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 ; jk++){        ps[i][i]=1./(s1+1.);
            for(m=0, pp[jk]=0; m <=nlstate+ndeath; m++)        for(j=1; j<i; j++)
              pp[jk] += freq[jk][m][i];          ps[i][j]= exp(ps[i][j])*ps[i][i];
          }        for(j=i+1; j<=nlstate+ndeath; j++)
                    ps[i][j]= exp(ps[i][j])*ps[i][i];
          for(jk=1,pos=0; jk <=nlstate ; jk++) pos += pp[jk];        /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */
       } /* end i */
          for(jk=1; jk <=nlstate ; jk++){                
            if( i <= (int) agemax){      for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){
              if(pos>=1.e-5){        for(jj=1; jj<= nlstate+ndeath; jj++){
                probs[i][jk][j1]= pp[jk]/pos;          ps[ii][jj]=0;
              }          ps[ii][ii]=1;
            }        }
          }      }
                
         }  
     }  /*        for(ii=1; ii<= nlstate+ndeath; ii++){ */
   }  /*       for(jj=1; jj<= nlstate+ndeath; jj++){ */
    /*         printf("ddd %lf ",ps[ii][jj]); */
    /*       } */
   free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath,(int) agemin,(int) agemax+3);  /*       printf("\n "); */
   free_vector(pp,1,nlstate);  /*        } */
    /*        printf("\n ");printf("%lf ",cov[2]); */
 }  /* End of Freq */         /*
         for(i=1; i<= npar; i++) printf("%f ",x[i]);
 /************* Waves Concatenation ***************/        goto end;*/
       return ps;
 void  concatwav(int wav[], int **dh, int **mw, int **s, double *agedc, double **agev, int  firstpass, int lastpass, int imx, int nlstate, int stepm)  }
 {  
   /* Concatenates waves: wav[i] is the number of effective (useful waves) of individual i.  /**************** Product of 2 matrices ******************/
      Death is a valid wave (if date is known).  
      mw[mi][i] is the mi (mi=1 to wav[i])  effective wave of individual i  double **matprod2(double **out, double **in,long nrl, long nrh, long ncl, long nch, long ncolol, long ncoloh, double **b)
      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.    /* Computes the matrix product of in(1,nrh-nrl+1)(1,nch-ncl+1) times
      */       b(1,nch-ncl+1)(1,ncoloh-ncolol+1) into out(...) */
     /* in, b, out are matrice of pointers which should have been initialized 
   int i, mi, m;       before: only the contents of out is modified. The function returns
   /* int j, k=0,jk, ju, jl,jmin=1e+5, jmax=-1;       a pointer to pointers identical to out */
      double sum=0., jmean=0.;*/    long i, j, k;
     for(i=nrl; i<= nrh; i++)
   int j, k=0,jk, ju, jl;      for(k=ncolol; k<=ncoloh; k++)
   double sum=0.;        for(j=ncl,out[i][k]=0.; j<=nch; j++)
   jmin=1e+5;          out[i][k] +=in[i][j]*b[j][k];
   jmax=-1;  
   jmean=0.;    return out;
   for(i=1; i<=imx; i++){  }
     mi=0;  
     m=firstpass;  
     while(s[m][i] <= nlstate){  /************* Higher Matrix Product ***************/
       if(s[m][i]>=1)  
         mw[++mi][i]=m;  double ***hpxij(double ***po, int nhstepm, double age, int hstepm, double *x, int nlstate, int stepm, double **oldm, double **savm, int ij )
       if(m >=lastpass)  {
         break;    /* Computes the transition matrix starting at age 'age' over 
       else       'nhstepm*hstepm*stepm' months (i.e. until
         m++;       age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying 
     }/* end while */       nhstepm*hstepm matrices. 
     if (s[m][i] > nlstate){       Output is stored in matrix po[i][j][h] for h every 'hstepm' step 
       mi++;     /* Death is another wave */       (typically every 2 years instead of every month which is too big 
       /* if(mi==0)  never been interviewed correctly before death */       for the memory).
          /* Only death is a correct wave */       Model is determined by parameters x and covariates have to be 
       mw[mi][i]=m;       included manually here. 
     }  
        */
     wav[i]=mi;  
     if(mi==0)    int i, j, d, h, k;
       printf("Warning, no any valid information for:%d line=%d\n",num[i],i);    double **out, cov[NCOVMAX+1];
   }    double **newm;
   
   for(i=1; i<=imx; i++){    /* Hstepm could be zero and should return the unit matrix */
     for(mi=1; mi<wav[i];mi++){    for (i=1;i<=nlstate+ndeath;i++)
       if (stepm <=0)      for (j=1;j<=nlstate+ndeath;j++){
         dh[mi][i]=1;        oldm[i][j]=(i==j ? 1.0 : 0.0);
       else{        po[i][j][0]=(i==j ? 1.0 : 0.0);
         if (s[mw[mi+1][i]][i] > nlstate) {      }
           if (agedc[i] < 2*AGESUP) {    /* Even if hstepm = 1, at least one multiplication by the unit matrix */
           j= rint(agedc[i]*12-agev[mw[mi][i]][i]*12);    for(h=1; h <=nhstepm; h++){
           if(j==0) j=1;  /* Survives at least one month after exam */      for(d=1; d <=hstepm; d++){
           k=k+1;        newm=savm;
           if (j >= jmax) jmax=j;        /* Covariates have to be included here again */
           if (j <= jmin) jmin=j;        cov[1]=1.;
           sum=sum+j;        cov[2]=age+((h-1)*hstepm + (d-1))*stepm/YEARM;
           /* if (j<10) printf("j=%d num=%d ",j,i); */        for (k=1; k<=cptcovn;k++) 
           }          cov[2+k]=nbcode[Tvar[k]][codtab[ij][Tvar[k]]];
         }        for (k=1; k<=cptcovage;k++)
         else{          cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2];
           j= rint( (agev[mw[mi+1][i]][i]*12 - agev[mw[mi][i]][i]*12));        for (k=1; k<=cptcovprod;k++)
           k=k+1;          cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]]*nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]];
           if (j >= jmax) jmax=j;  
           else if (j <= jmin)jmin=j;  
           /*   if (j<10) printf("j=%d jmin=%d num=%d ",j,jmin,i); */        /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/
           sum=sum+j;        /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/
         }        out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, 
         jk= j/stepm;                     pmij(pmmij,cov,ncovmodel,x,nlstate));
         jl= j -jk*stepm;        savm=oldm;
         ju= j -(jk+1)*stepm;        oldm=newm;
         if(jl <= -ju)      }
           dh[mi][i]=jk;      for(i=1; i<=nlstate+ndeath; i++)
         else        for(j=1;j<=nlstate+ndeath;j++) {
           dh[mi][i]=jk+1;          po[i][j][h]=newm[i][j];
         if(dh[mi][i]==0)          /*if(h==nhstepm) printf("po[%d][%d][%d]=%f ",i,j,h,po[i][j][h]);*/
           dh[mi][i]=1; /* At least one step */        }
       }      /*printf("h=%d ",h);*/
     }    } /* end h */
   }  /*     printf("\n H=%d \n",h); */
   jmean=sum/k;    return po;
   printf("Delay (in months) between two waves Min=%d Max=%d Mean=%f\n\n ",jmin, jmax,jmean);  }
  }  
 /*********** Tricode ****************************/  
 void tricode(int *Tvar, int **nbcode, int imx)  /*************** log-likelihood *************/
 {  double func( double *x)
   int Ndum[20],ij=1, k, j, i;  {
   int cptcode=0;    int i, ii, j, k, mi, d, kk;
   cptcoveff=0;    double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1];
      double **out;
   for (k=0; k<19; k++) Ndum[k]=0;    double sw; /* Sum of weights */
   for (k=1; k<=7; k++) ncodemax[k]=0;    double lli; /* Individual log likelihood */
     int s1, s2;
   for (j=1; j<=(cptcovn+2*cptcovprod); j++) {    double bbh, survp;
     for (i=1; i<=imx; i++) {    long ipmx;
       ij=(int)(covar[Tvar[j]][i]);    /*extern weight */
       Ndum[ij]++;    /* We are differentiating ll according to initial status */
       /*printf("i=%d ij=%d Ndum[ij]=%d imx=%d",i,ij,Ndum[ij],imx);*/    /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
       if (ij > cptcode) cptcode=ij;    /*for(i=1;i<imx;i++) 
     }      printf(" %d\n",s[4][i]);
     */
     for (i=0; i<=cptcode; i++) {    cov[1]=1.;
       if(Ndum[i]!=0) ncodemax[j]++;  
     }    for(k=1; k<=nlstate; k++) ll[k]=0.;
     ij=1;  
     if(mle==1){
       for (i=1,ipmx=0, sw=0.; i<=imx; i++){
     for (i=1; i<=ncodemax[j]; i++) {        for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];
       for (k=0; k<=19; k++) {        /* In model V2+V1*V4+age*V3+V3*V2 Tvar[1] is V2, Tvar[2=V1*V4] 
         if (Ndum[k] != 0) {           is 6, Tvar[3=age*V3] should not been computed because of age Tvar[4=V3*V2] 
           nbcode[Tvar[j]][ij]=k;           has been calculated etc */
           ij++;        for(mi=1; mi<= wav[i]-1; mi++){
         }          for (ii=1;ii<=nlstate+ndeath;ii++)
         if (ij > ncodemax[j]) break;            for (j=1;j<=nlstate+ndeath;j++){
       }                oldm[ii][j]=(ii==j ? 1.0 : 0.0);
     }              savm[ii][j]=(ii==j ? 1.0 : 0.0);
   }              }
           for(d=0; d<dh[mi][i]; d++){
  for (k=0; k<19; k++) Ndum[k]=0;            newm=savm;
             cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;
  for (i=1; i<=ncovmodel-2; i++) {            for (kk=1; kk<=cptcovage;kk++) {
       ij=Tvar[i];              cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2]; /* Tage[kk] gives the data-covariate associated with age */
       Ndum[ij]++;            }
     }            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                          1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
  ij=1;            savm=oldm;
  for (i=1; i<=10; i++) {            oldm=newm;
    if((Ndum[i]!=0) && (i<=ncov)){          } /* end mult */
      Tvaraff[ij]=i;        
      ij++;          /*lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);*/ /* Original formula */
    }          /* But now since version 0.9 we anticipate for bias at large stepm.
  }           * If stepm is larger than one month (smallest stepm) and if the exact delay 
             * (in months) between two waves is not a multiple of stepm, we rounded to 
     cptcoveff=ij-1;           * the nearest (and in case of equal distance, to the lowest) interval but now
 }           * we keep into memory the bias bh[mi][i] and also the previous matrix product
            * (i.e to dh[mi][i]-1) saved in 'savm'. Then we inter(extra)polate the
 /*********** Health Expectancies ****************/           * probability in order to take into account the bias as a fraction of the way
            * from savm to out if bh is negative or even beyond if bh is positive. bh varies
 void evsij(char fileres[], double ***eij, double x[], int nlstate, int stepm, int bage, int fage, double **oldm, double **savm, int ij)           * -stepm/2 to stepm/2 .
 {           * For stepm=1 the results are the same as for previous versions of Imach.
   /* Health expectancies */           * For stepm > 1 the results are less biased than in previous versions. 
   int i, j, nhstepm, hstepm, h;           */
   double age, agelim,hf;          s1=s[mw[mi][i]][i];
   double ***p3mat;          s2=s[mw[mi+1][i]][i];
            bbh=(double)bh[mi][i]/(double)stepm; 
   fprintf(ficreseij,"# Health expectancies\n");          /* bias bh is positive if real duration
   fprintf(ficreseij,"# Age");           * is higher than the multiple of stepm and negative otherwise.
   for(i=1; i<=nlstate;i++)           */
     for(j=1; j<=nlstate;j++)          /* lli= (savm[s1][s2]>1.e-8 ?(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]):log((1.+bbh)*out[s1][s2]));*/
       fprintf(ficreseij," %1d-%1d",i,j);          if( s2 > nlstate){ 
   fprintf(ficreseij,"\n");            /* i.e. if s2 is a death state and if the date of death is known 
                then the contribution to the likelihood is the probability to 
   hstepm=1*YEARM; /*  Every j years of age (in month) */               die between last step unit time and current  step unit time, 
   hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */               which is also equal to probability to die before dh 
                minus probability to die before dh-stepm . 
   agelim=AGESUP;               In version up to 0.92 likelihood was computed
   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */          as if date of death was unknown. Death was treated as any other
     /* nhstepm age range expressed in number of stepm */          health state: the date of the interview describes the actual state
     nhstepm=(int) rint((agelim-age)*YEARM/stepm);          and not the date of a change in health state. The former idea was
     /* Typically if 20 years = 20*12/6=40 stepm */          to consider that at each interview the state was recorded
     if (stepm >= YEARM) hstepm=1;          (healthy, disable or death) and IMaCh was corrected; but when we
     nhstepm = nhstepm/hstepm;/* Expressed in hstepm, typically 40/4=10 */          introduced the exact date of death then we should have modified
     p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);          the contribution of an exact death to the likelihood. This new
     /* Computed by stepm unit matrices, product of hstepm matrices, stored          contribution is smaller and very dependent of the step unit
        in an array of nhstepm length: nhstepm=10, hstepm=4, stepm=6 months */          stepm. It is no more the probability to die between last interview
     hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm, savm, ij);            and month of death but the probability to survive from last
           interview up to one month before death multiplied by the
           probability to die within a month. Thanks to Chris
     for(i=1; i<=nlstate;i++)          Jackson for correcting this bug.  Former versions increased
       for(j=1; j<=nlstate;j++)          mortality artificially. The bad side is that we add another loop
         for (h=0, eij[i][j][(int)age]=0; h<=nhstepm; h++){          which slows down the processing. The difference can be up to 10%
           eij[i][j][(int)age] +=p3mat[i][j][h];          lower mortality.
         }            */
                lli=log(out[s1][s2] - savm[s1][s2]);
     hf=1;  
     if (stepm >= YEARM) hf=stepm/YEARM;  
     fprintf(ficreseij,"%.0f",age );          } else if  (s2==-2) {
     for(i=1; i<=nlstate;i++)            for (j=1,survp=0. ; j<=nlstate; j++) 
       for(j=1; j<=nlstate;j++){              survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
         fprintf(ficreseij," %.4f", hf*eij[i][j][(int)age]);            /*survp += out[s1][j]; */
       }            lli= log(survp);
     fprintf(ficreseij,"\n");          }
     free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);          
   }          else if  (s2==-4) { 
 }            for (j=3,survp=0. ; j<=nlstate; j++)  
               survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
 /************ Variance ******************/            lli= log(survp); 
 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)          } 
 {  
   /* Variance of health expectancies */          else if  (s2==-5) { 
   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);*/            for (j=1,survp=0. ; j<=2; j++)  
   double **newm;              survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
   double **dnewm,**doldm;            lli= log(survp); 
   int i, j, nhstepm, hstepm, h;          } 
   int k, cptcode;          
   double *xp;          else{
   double **gp, **gm;            lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
   double ***gradg, ***trgradg;            /*  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 */
   double ***p3mat;          } 
   double age,agelim;          /*lli=(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]);*/
   int theta;          /*if(lli ==000.0)*/
           /*printf("bbh= %f lli=%f savm=%f out=%f %d\n",bbh,lli,savm[s1][s2], out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]],i); */
    fprintf(ficresvij,"# Covariances of life expectancies\n");          ipmx +=1;
   fprintf(ficresvij,"# Age");          sw += weight[i];
   for(i=1; i<=nlstate;i++)          ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
     for(j=1; j<=nlstate;j++)        } /* end of wave */
       fprintf(ficresvij," Cov(e%1d, e%1d)",i,j);      } /* end of individual */
   fprintf(ficresvij,"\n");    }  else if(mle==2){
       for (i=1,ipmx=0, sw=0.; i<=imx; i++){
   xp=vector(1,npar);        for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];
   dnewm=matrix(1,nlstate,1,npar);        for(mi=1; mi<= wav[i]-1; mi++){
   doldm=matrix(1,nlstate,1,nlstate);          for (ii=1;ii<=nlstate+ndeath;ii++)
              for (j=1;j<=nlstate+ndeath;j++){
   hstepm=1*YEARM; /* Every year of age */              oldm[ii][j]=(ii==j ? 1.0 : 0.0);
   hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */              savm[ii][j]=(ii==j ? 1.0 : 0.0);
   agelim = AGESUP;            }
   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */          for(d=0; d<=dh[mi][i]; d++){
     nhstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */            newm=savm;
     if (stepm >= YEARM) hstepm=1;            cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;
     nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */            for (kk=1; kk<=cptcovage;kk++) {
     p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);              cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
     gradg=ma3x(0,nhstepm,1,npar,1,nlstate);            }
     gp=matrix(0,nhstepm,1,nlstate);            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
     gm=matrix(0,nhstepm,1,nlstate);                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
             savm=oldm;
     for(theta=1; theta <=npar; theta++){            oldm=newm;
       for(i=1; i<=npar; i++){ /* Computes gradient */          } /* end mult */
         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);          bbh=(double)bh[mi][i]/(double)stepm; 
           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 */
       if (popbased==1) {          ipmx +=1;
         for(i=1; i<=nlstate;i++)          sw += weight[i];
           prlim[i][i]=probs[(int)age][i][ij];          ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
       }        } /* end of wave */
            } /* end of individual */
       for(j=1; j<= nlstate; j++){    }  else if(mle==3){  /* exponential inter-extrapolation */
         for(h=0; h<=nhstepm; h++){      for (i=1,ipmx=0, sw=0.; i<=imx; i++){
           for(i=1, gp[h][j]=0.;i<=nlstate;i++)        for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];
             gp[h][j] += prlim[i][i]*p3mat[i][j][h];        for(mi=1; mi<= wav[i]-1; mi++){
         }          for (ii=1;ii<=nlstate+ndeath;ii++)
       }            for (j=1;j<=nlstate+ndeath;j++){
                  oldm[ii][j]=(ii==j ? 1.0 : 0.0);
       for(i=1; i<=npar; i++) /* Computes gradient */              savm[ii][j]=(ii==j ? 1.0 : 0.0);
         xp[i] = x[i] - (i==theta ?delti[theta]:0);            }
       hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);            for(d=0; d<dh[mi][i]; d++){
       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);            newm=savm;
             cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;
       if (popbased==1) {            for (kk=1; kk<=cptcovage;kk++) {
         for(i=1; i<=nlstate;i++)              cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
           prlim[i][i]=probs[(int)age][i][ij];            }
       }            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                          1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
       for(j=1; j<= nlstate; j++){            savm=oldm;
         for(h=0; h<=nhstepm; h++){            oldm=newm;
           for(i=1, gm[h][j]=0.;i<=nlstate;i++)          } /* end mult */
             gm[h][j] += prlim[i][i]*p3mat[i][j][h];        
         }          s1=s[mw[mi][i]][i];
       }          s2=s[mw[mi+1][i]][i];
           bbh=(double)bh[mi][i]/(double)stepm; 
       for(j=1; j<= nlstate; j++)          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 */
         for(h=0; h<=nhstepm; h++){          ipmx +=1;
           gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta];          sw += weight[i];
         }          ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
     } /* End theta */        } /* end of wave */
       } /* end of individual */
     trgradg =ma3x(0,nhstepm,1,nlstate,1,npar);    }else if (mle==4){  /* ml=4 no inter-extrapolation */
       for (i=1,ipmx=0, sw=0.; i<=imx; i++){
     for(h=0; h<=nhstepm; h++)        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(theta=1; theta <=npar; theta++)          for (ii=1;ii<=nlstate+ndeath;ii++)
           trgradg[h][j][theta]=gradg[h][theta][j];            for (j=1;j<=nlstate+ndeath;j++){
               oldm[ii][j]=(ii==j ? 1.0 : 0.0);
     for(i=1;i<=nlstate;i++)              savm[ii][j]=(ii==j ? 1.0 : 0.0);
       for(j=1;j<=nlstate;j++)            }
         vareij[i][j][(int)age] =0.;          for(d=0; d<dh[mi][i]; d++){
     for(h=0;h<=nhstepm;h++){            newm=savm;
       for(k=0;k<=nhstepm;k++){            cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;
         matprod2(dnewm,trgradg[h],1,nlstate,1,npar,1,npar,matcov);            for (kk=1; kk<=cptcovage;kk++) {
         matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg[k]);              cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
         for(i=1;i<=nlstate;i++)            }
           for(j=1;j<=nlstate;j++)          
             vareij[i][j][(int)age] += doldm[i][j];            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
       }                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
     }            savm=oldm;
     h=1;            oldm=newm;
     if (stepm >= YEARM) h=stepm/YEARM;          } /* end mult */
     fprintf(ficresvij,"%.0f ",age );        
     for(i=1; i<=nlstate;i++)          s1=s[mw[mi][i]][i];
       for(j=1; j<=nlstate;j++){          s2=s[mw[mi+1][i]][i];
         fprintf(ficresvij," %.4f", h*vareij[i][j][(int)age]);          if( s2 > nlstate){ 
       }            lli=log(out[s1][s2] - savm[s1][s2]);
     fprintf(ficresvij,"\n");          }else{
     free_matrix(gp,0,nhstepm,1,nlstate);            lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
     free_matrix(gm,0,nhstepm,1,nlstate);          }
     free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate);          ipmx +=1;
     free_ma3x(trgradg,0,nhstepm,1,nlstate,1,npar);          sw += weight[i];
     free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);          ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
   } /* End age */  /*      printf("i=%6d s1=%1d s2=%1d mi=%1d mw=%1d dh=%3d prob=%10.6f w=%6.4f out=%10.6f sav=%10.6f\n",i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],out[s1][s2],savm[s1][s2]); */
          } /* end of wave */
   free_vector(xp,1,npar);      } /* end of individual */
   free_matrix(doldm,1,nlstate,1,npar);    }else{  /* ml=5 no inter-extrapolation no jackson =0.8a */
   free_matrix(dnewm,1,nlstate,1,nlstate);      for (i=1,ipmx=0, sw=0.; i<=imx; i++){
         for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];
 }        for(mi=1; mi<= wav[i]-1; mi++){
           for (ii=1;ii<=nlstate+ndeath;ii++)
 /************ Variance of prevlim ******************/            for (j=1;j<=nlstate+ndeath;j++){
 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)              oldm[ii][j]=(ii==j ? 1.0 : 0.0);
 {              savm[ii][j]=(ii==j ? 1.0 : 0.0);
   /* Variance of prevalence limit */            }
   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);*/          for(d=0; d<dh[mi][i]; d++){
   double **newm;            newm=savm;
   double **dnewm,**doldm;            cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;
   int i, j, nhstepm, hstepm;            for (kk=1; kk<=cptcovage;kk++) {
   int k, cptcode;              cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
   double *xp;            }
   double *gp, *gm;          
   double **gradg, **trgradg;            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
   double age,agelim;                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
   int theta;            savm=oldm;
                oldm=newm;
   fprintf(ficresvpl,"# Standard deviation of prevalences limit\n");          } /* end mult */
   fprintf(ficresvpl,"# Age");        
   for(i=1; i<=nlstate;i++)          s1=s[mw[mi][i]][i];
       fprintf(ficresvpl," %1d-%1d",i,i);          s2=s[mw[mi+1][i]][i];
   fprintf(ficresvpl,"\n");          lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
           ipmx +=1;
   xp=vector(1,npar);          sw += weight[i];
   dnewm=matrix(1,nlstate,1,npar);          ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
   doldm=matrix(1,nlstate,1,nlstate);          /*printf("i=%6d s1=%1d s2=%1d mi=%1d mw=%1d dh=%3d prob=%10.6f w=%6.4f out=%10.6f sav=%10.6f\n",i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],out[s1][s2],savm[s1][s2]);*/
          } /* end of wave */
   hstepm=1*YEARM; /* Every year of age */      } /* end of individual */
   hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */    } /* End of if */
   agelim = AGESUP;    for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */    /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
     nhstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */    l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
     if (stepm >= YEARM) hstepm=1;    return -l;
     nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */  }
     gradg=matrix(1,npar,1,nlstate);  
     gp=vector(1,nlstate);  /*************** log-likelihood *************/
     gm=vector(1,nlstate);  double funcone( double *x)
   {
     for(theta=1; theta <=npar; theta++){    /* Same as likeli but slower because of a lot of printf and if */
       for(i=1; i<=npar; i++){ /* Computes gradient */    int i, ii, j, k, mi, d, kk;
         xp[i] = x[i] + (i==theta ?delti[theta]:0);    double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1];
       }    double **out;
       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);    double lli; /* Individual log likelihood */
       for(i=1;i<=nlstate;i++)    double llt;
         gp[i] = prlim[i][i];    int s1, s2;
        double bbh, survp;
       for(i=1; i<=npar; i++) /* Computes gradient */    /*extern weight */
         xp[i] = x[i] - (i==theta ?delti[theta]:0);    /* We are differentiating ll according to initial status */
       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);    /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
       for(i=1;i<=nlstate;i++)    /*for(i=1;i<imx;i++) 
         gm[i] = prlim[i][i];      printf(" %d\n",s[4][i]);
     */
       for(i=1;i<=nlstate;i++)    cov[1]=1.;
         gradg[theta][i]= (gp[i]-gm[i])/2./delti[theta];  
     } /* End theta */    for(k=1; k<=nlstate; k++) ll[k]=0.;
   
     trgradg =matrix(1,nlstate,1,npar);    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(theta=1; theta <=npar; theta++)        for (ii=1;ii<=nlstate+ndeath;ii++)
         trgradg[j][theta]=gradg[theta][j];          for (j=1;j<=nlstate+ndeath;j++){
             oldm[ii][j]=(ii==j ? 1.0 : 0.0);
     for(i=1;i<=nlstate;i++)            savm[ii][j]=(ii==j ? 1.0 : 0.0);
       varpl[i][(int)age] =0.;          }
     matprod2(dnewm,trgradg,1,nlstate,1,npar,1,npar,matcov);        for(d=0; d<dh[mi][i]; d++){
     matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg);          newm=savm;
     for(i=1;i<=nlstate;i++)          cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;
       varpl[i][(int)age] = doldm[i][i]; /* Covariances are useless */          for (kk=1; kk<=cptcovage;kk++) {
             cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
     fprintf(ficresvpl,"%.0f ",age );          }
     for(i=1; i<=nlstate;i++)          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
       fprintf(ficresvpl," %.5f (%.5f)",prlim[i][i],sqrt(varpl[i][(int)age]));                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
     fprintf(ficresvpl,"\n");          savm=oldm;
     free_vector(gp,1,nlstate);          oldm=newm;
     free_vector(gm,1,nlstate);        } /* end mult */
     free_matrix(gradg,1,npar,1,nlstate);        
     free_matrix(trgradg,1,nlstate,1,npar);        s1=s[mw[mi][i]][i];
   } /* End age */        s2=s[mw[mi+1][i]][i];
         bbh=(double)bh[mi][i]/(double)stepm; 
   free_vector(xp,1,npar);        /* bias is positive if real duration
   free_matrix(doldm,1,nlstate,1,npar);         * is higher than the multiple of stepm and negative otherwise.
   free_matrix(dnewm,1,nlstate,1,nlstate);         */
         if( s2 > nlstate && (mle <5) ){  /* Jackson */
 }          lli=log(out[s1][s2] - savm[s1][s2]);
         } else if  (s2==-2) {
 /************ Variance of one-step probabilities  ******************/          for (j=1,survp=0. ; j<=nlstate; j++) 
 void varprob(char fileres[], double **matcov, double x[], double delti[], int nlstate, double bage, double fage, int ij)            survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
 {          lli= log(survp);
   int i, j;        }else if (mle==1){
   int k=0, cptcode;          lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
   double **dnewm,**doldm;        } else if(mle==2){
   double *xp;          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 */
   double *gp, *gm;        } else if(mle==3){  /* exponential inter-extrapolation */
   double **gradg, **trgradg;          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 */
   double age,agelim, cov[NCOVMAX];        } else if (mle==4){  /* mle=4 no inter-extrapolation */
   int theta;          lli=log(out[s1][s2]); /* Original formula */
   char fileresprob[FILENAMELENGTH];        } else{  /* mle=0 back to 1 */
           lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
   strcpy(fileresprob,"prob");          /*lli=log(out[s1][s2]); */ /* Original formula */
   strcat(fileresprob,fileres);        } /* End of if */
   if((ficresprob=fopen(fileresprob,"w"))==NULL) {        ipmx +=1;
     printf("Problem with resultfile: %s\n", fileresprob);        sw += weight[i];
   }        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
   printf("Computing variance of one-step probabilities: result on file '%s' \n",fileresprob);        /*printf("i=%6d s1=%1d s2=%1d mi=%1d mw=%1d dh=%3d prob=%10.6f w=%6.4f out=%10.6f sav=%10.6f\n",i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],out[s1][s2],savm[s1][s2]); */
          if(globpr){
           fprintf(ficresilk,"%9d %6d %2d %2d %1d %1d %3d %11.6f %8.4f\
   xp=vector(1,npar);   %11.6f %11.6f %11.6f ", \
   dnewm=matrix(1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);                  num[i],i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],
   doldm=matrix(1,(nlstate+ndeath)*(nlstate+ndeath),1,(nlstate+ndeath)*(nlstate+ndeath));                  2*weight[i]*lli,out[s1][s2],savm[s1][s2]);
            for(k=1,llt=0.,l=0.; k<=nlstate; k++){
   cov[1]=1;            llt +=ll[k]*gipmx/gsw;
   for (age=bage; age<=fage; age ++){            fprintf(ficresilk," %10.6f",-ll[k]*gipmx/gsw);
     cov[2]=age;          }
     gradg=matrix(1,npar,1,9);          fprintf(ficresilk," %10.6f\n", -llt);
     trgradg=matrix(1,9,1,npar);        }
     gp=vector(1,(nlstate+ndeath)*(nlstate+ndeath));      } /* end of wave */
     gm=vector(1,(nlstate+ndeath)*(nlstate+ndeath));    } /* end of individual */
        for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
     for(theta=1; theta <=npar; theta++){    /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
       for(i=1; i<=npar; i++)    l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
         xp[i] = x[i] + (i==theta ?delti[theta]:0);    if(globpr==0){ /* First time we count the contributions and weights */
            gipmx=ipmx;
       pmij(pmmij,cov,ncovmodel,xp,nlstate);      gsw=sw;
        }
       k=0;    return -l;
       for(i=1; i<= (nlstate+ndeath); i++){  }
         for(j=1; j<=(nlstate+ndeath);j++){  
            k=k+1;  
           gp[k]=pmmij[i][j];  /*************** function likelione ***********/
         }  void likelione(FILE *ficres,double p[], int npar, int nlstate, int *globpri, long *ipmx, double *sw, double *fretone, double (*funcone)(double []))
       }  {
     /* This routine should help understanding what is done with 
       for(i=1; i<=npar; i++)       the selection of individuals/waves and
         xp[i] = x[i] - (i==theta ?delti[theta]:0);       to check the exact contribution to the likelihood.
           Plotting could be done.
      */
       pmij(pmmij,cov,ncovmodel,xp,nlstate);    int k;
       k=0;  
       for(i=1; i<=(nlstate+ndeath); i++){    if(*globpri !=0){ /* Just counts and sums, no printings */
         for(j=1; j<=(nlstate+ndeath);j++){      strcpy(fileresilk,"ilk"); 
           k=k+1;      strcat(fileresilk,fileres);
           gm[k]=pmmij[i][j];      if((ficresilk=fopen(fileresilk,"w"))==NULL) {
         }        printf("Problem with resultfile: %s\n", fileresilk);
       }        fprintf(ficlog,"Problem with resultfile: %s\n", fileresilk);
            }
        for(i=1; i<= (nlstate+ndeath)*(nlstate+ndeath); i++)      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");
            gradg[theta][i]=(gp[i]-gm[i])/2./delti[theta];        fprintf(ficresilk, "#num_i i s1 s2 mi mw dh likeli weight 2wlli out sav ");
     }      /*  i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],2*weight[i]*lli,out[s1][s2],savm[s1][s2]); */
       for(k=1; k<=nlstate; k++) 
      for(j=1; j<=(nlstate+ndeath)*(nlstate+ndeath);j++)        fprintf(ficresilk," -2*gipw/gsw*weight*ll[%d]++",k);
       for(theta=1; theta <=npar; theta++)      fprintf(ficresilk," -2*gipw/gsw*weight*ll(total)\n");
       trgradg[j][theta]=gradg[theta][j];    }
    
      matprod2(dnewm,trgradg,1,9,1,npar,1,npar,matcov);    *fretone=(*funcone)(p);
      matprod2(doldm,dnewm,1,9,1,npar,1,9,gradg);    if(*globpri !=0){
       fclose(ficresilk);
      pmij(pmmij,cov,ncovmodel,x,nlstate);      fprintf(fichtm,"\n<br>File of contributions to the likelihood: <a href=\"%s\">%s</a><br>\n",subdirf(fileresilk),subdirf(fileresilk));
       fflush(fichtm); 
      k=0;    } 
      for(i=1; i<=(nlstate+ndeath); i++){    return;
        for(j=1; j<=(nlstate+ndeath);j++){  }
          k=k+1;  
          gm[k]=pmmij[i][j];  
         }  /*********** Maximum Likelihood Estimation ***************/
      }  
        void mlikeli(FILE *ficres,double p[], int npar, int ncovmodel, int nlstate, double ftol, double (*func)(double []))
      /*printf("\n%d ",(int)age);  {
      for (i=1; i<=(nlstate+ndeath)*(nlstate+ndeath-1);i++){    int i,j, iter;
            double **xi;
     double fret;
        printf("%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));    double fretone; /* Only one call to likelihood */
      }*/    /*  char filerespow[FILENAMELENGTH];*/
     xi=matrix(1,npar,1,npar);
   fprintf(ficresprob,"\n%d ",(int)age);    for (i=1;i<=npar;i++)
       for (j=1;j<=npar;j++)
   for (i=1; i<=(nlstate+ndeath)*(nlstate+ndeath-1);i++){        xi[i][j]=(i==j ? 1.0 : 0.0);
     if (i== 2) fprintf(ficresprob,"%.3e %.3e ",gm[i],doldm[i][i]);    printf("Powell\n");  fprintf(ficlog,"Powell\n");
 if (i== 4) fprintf(ficresprob,"%.3e %.3e ",gm[i],doldm[i][i]);    strcpy(filerespow,"pow"); 
   }    strcat(filerespow,fileres);
     if((ficrespow=fopen(filerespow,"w"))==NULL) {
     free_vector(gp,1,(nlstate+ndeath)*(nlstate+ndeath));      printf("Problem with resultfile: %s\n", filerespow);
     free_vector(gm,1,(nlstate+ndeath)*(nlstate+ndeath));      fprintf(ficlog,"Problem with resultfile: %s\n", filerespow);
     free_matrix(trgradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);    }
     free_matrix(gradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);    fprintf(ficrespow,"# Powell\n# iter -2*LL");
 }    for (i=1;i<=nlstate;i++)
  free_vector(xp,1,npar);      for(j=1;j<=nlstate+ndeath;j++)
 fclose(ficresprob);        if(j!=i)fprintf(ficrespow," p%1d%1d",i,j);
  exit(0);    fprintf(ficrespow,"\n");
 }  
     powell(p,xi,npar,ftol,&iter,&fret,func);
 /***********************************************/  
 /**************** Main Program *****************/    free_matrix(xi,1,npar,1,npar);
 /***********************************************/    fclose(ficrespow);
     printf("\n#Number of iterations = %d, -2 Log likelihood = %.12f\n",iter,func(p));
 /*int main(int argc, char *argv[])*/    fprintf(ficlog,"\n#Number of iterations = %d, -2 Log likelihood = %.12f \n",iter,func(p));
 int main()    fprintf(ficres,"#Number of iterations = %d, -2 Log likelihood = %.12f \n",iter,func(p));
 {  
   }
   int i,j, k, n=MAXN,iter,m,size,cptcode, cptcod;  
   double agedeb, agefin,hf;  /**** Computes Hessian and covariance matrix ***/
   double agemin=1.e20, agemax=-1.e20;  void hesscov(double **matcov, double p[], int npar, double delti[], double ftolhess, double (*func)(double []))
   {
   double fret;    double  **a,**y,*x,pd;
   double **xi,tmp,delta;    double **hess;
     int i, j,jk;
   double dum; /* Dummy variable */    int *indx;
   double ***p3mat;  
   int *indx;    double hessii(double p[], double delta, int theta, double delti[],double (*func)(double []),int npar);
   char line[MAXLINE], linepar[MAXLINE];    double hessij(double p[], double delti[], int i, int j,double (*func)(double []),int npar);
   char title[MAXLINE];    void lubksb(double **a, int npar, int *indx, double b[]) ;
   char optionfile[FILENAMELENGTH], datafile[FILENAMELENGTH],  filerespl[FILENAMELENGTH], optionfilehtm[FILENAMELENGTH];    void ludcmp(double **a, int npar, int *indx, double *d) ;
   char fileres[FILENAMELENGTH], filerespij[FILENAMELENGTH], filereso[FILENAMELENGTH], fileresf[FILENAMELENGTH];    double gompertz(double p[]);
   char filerest[FILENAMELENGTH];    hess=matrix(1,npar,1,npar);
   char fileregp[FILENAMELENGTH];  
   char popfile[FILENAMELENGTH];    printf("\nCalculation of the hessian matrix. Wait...\n");
   char path[80],pathc[80],pathcd[80],pathtot[80],model[20];    fprintf(ficlog,"\nCalculation of the hessian matrix. Wait...\n");
   int firstobs=1, lastobs=10;    for (i=1;i<=npar;i++){
   int sdeb, sfin; /* Status at beginning and end */      printf("%d",i);fflush(stdout);
   int c,  h , cpt,l;      fprintf(ficlog,"%d",i);fflush(ficlog);
   int ju,jl, mi;     
   int i1,j1, k1,k2,k3,jk,aa,bb, stepsize, ij;       hess[i][i]=hessii(p,ftolhess,i,delti,func,npar);
   int jnais,jdc,jint4,jint1,jint2,jint3,**outcome,**adl,*tab;      
   int mobilav=0,popforecast=0;      /*  printf(" %f ",p[i]);
   int hstepm, nhstepm;          printf(" %lf %lf %lf",hess[i][i],ftolhess,delti[i]);*/
   int *popage;/*boolprev=0 if date and zero if wave*/    }
   double jprev1, mprev1,anprev1,jprev2, mprev2,anprev2;    
     for (i=1;i<=npar;i++) {
   double bage, fage, age, agelim, agebase;      for (j=1;j<=npar;j++)  {
   double ftolpl=FTOL;        if (j>i) { 
   double **prlim;          printf(".%d%d",i,j);fflush(stdout);
   double *severity;          fprintf(ficlog,".%d%d",i,j);fflush(ficlog);
   double ***param; /* Matrix of parameters */          hess[i][j]=hessij(p,delti,i,j,func,npar);
   double  *p;          
   double **matcov; /* Matrix of covariance */          hess[j][i]=hess[i][j];    
   double ***delti3; /* Scale */          /*printf(" %lf ",hess[i][j]);*/
   double *delti; /* Scale */        }
   double ***eij, ***vareij;      }
   double **varpl; /* Variances of prevalence limits by age */    }
   double *epj, vepp;    printf("\n");
   double kk1, kk2;    fprintf(ficlog,"\n");
   double *popeffectif,*popcount;  
   double dateprev1, dateprev2,jproj1,mproj1,anproj1,jproj2,mproj2,anproj2,jprojmean,mprojmean,anprojmean, calagedate;    printf("\nInverting the hessian to get the covariance matrix. Wait...\n");
   double yp,yp1,yp2;    fprintf(ficlog,"\nInverting the hessian to get the covariance matrix. Wait...\n");
     
   char version[80]="Imach version 64b, May 2001, INED-EUROREVES ";    a=matrix(1,npar,1,npar);
   char *alph[]={"a","a","b","c","d","e"}, str[4];    y=matrix(1,npar,1,npar);
     x=vector(1,npar);
     indx=ivector(1,npar);
   char z[1]="c", occ;    for (i=1;i<=npar;i++)
 #include <sys/time.h>      for (j=1;j<=npar;j++) a[i][j]=hess[i][j];
 #include <time.h>    ludcmp(a,npar,indx,&pd);
   char stra[80], strb[80], strc[80], strd[80],stre[80],modelsav[80];  
      for (j=1;j<=npar;j++) {
   /* long total_usecs;      for (i=1;i<=npar;i++) x[i]=0;
   struct timeval start_time, end_time;      x[j]=1;
        lubksb(a,npar,indx,x);
   gettimeofday(&start_time, (struct timezone*)0); */ /* at first time */      for (i=1;i<=npar;i++){ 
         matcov[i][j]=x[i];
       }
   printf("\nIMACH, Version 0.7");    }
   printf("\nEnter the parameter file name: ");  
     printf("\n#Hessian matrix#\n");
 #ifdef windows    fprintf(ficlog,"\n#Hessian matrix#\n");
   scanf("%s",pathtot);    for (i=1;i<=npar;i++) { 
   getcwd(pathcd, size);      for (j=1;j<=npar;j++) { 
   /*cygwin_split_path(pathtot,path,optionfile);        printf("%.3e ",hess[i][j]);
     printf("pathtot=%s, path=%s, optionfile=%s\n",pathtot,path,optionfile);*/        fprintf(ficlog,"%.3e ",hess[i][j]);
   /* cutv(path,optionfile,pathtot,'\\');*/      }
       printf("\n");
 split(pathtot, path,optionfile);      fprintf(ficlog,"\n");
   chdir(path);    }
   replace(pathc,path);  
 #endif    /* Recompute Inverse */
 #ifdef unix    for (i=1;i<=npar;i++)
   scanf("%s",optionfile);      for (j=1;j<=npar;j++) a[i][j]=matcov[i][j];
 #endif    ludcmp(a,npar,indx,&pd);
   
 /*-------- arguments in the command line --------*/    /*  printf("\n#Hessian matrix recomputed#\n");
   
   strcpy(fileres,"r");    for (j=1;j<=npar;j++) {
   strcat(fileres, optionfile);      for (i=1;i<=npar;i++) x[i]=0;
       x[j]=1;
   /*---------arguments file --------*/      lubksb(a,npar,indx,x);
       for (i=1;i<=npar;i++){ 
   if((ficpar=fopen(optionfile,"r"))==NULL)    {        y[i][j]=x[i];
     printf("Problem with optionfile %s\n",optionfile);        printf("%.3e ",y[i][j]);
     goto end;        fprintf(ficlog,"%.3e ",y[i][j]);
   }      }
       printf("\n");
   strcpy(filereso,"o");      fprintf(ficlog,"\n");
   strcat(filereso,fileres);    }
   if((ficparo=fopen(filereso,"w"))==NULL) {    */
     printf("Problem with Output resultfile: %s\n", filereso);goto end;  
   }    free_matrix(a,1,npar,1,npar);
     free_matrix(y,1,npar,1,npar);
   /* Reads comments: lines beginning with '#' */    free_vector(x,1,npar);
   while((c=getc(ficpar))=='#' && c!= EOF){    free_ivector(indx,1,npar);
     ungetc(c,ficpar);    free_matrix(hess,1,npar,1,npar);
     fgets(line, MAXLINE, ficpar);  
     puts(line);  
     fputs(line,ficparo);  }
   }  
   ungetc(c,ficpar);  /*************** hessian matrix ****************/
   double hessii(double x[], double delta, int theta, double delti[], double (*func)(double []), int npar)
   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);    int i;
   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);    int l=1, lmax=20;
 while((c=getc(ficpar))=='#' && c!= EOF){    double k1,k2;
     ungetc(c,ficpar);    double p2[MAXPARM+1]; /* identical to x */
     fgets(line, MAXLINE, ficpar);    double res;
     puts(line);    double delt=0.0001, delts, nkhi=10.,nkhif=1., khi=1.e-4;
     fputs(line,ficparo);    double fx;
   }    int k=0,kmax=10;
   ungetc(c,ficpar);    double l1;
    
        fx=func(x);
   covar=matrix(0,NCOVMAX,1,n);    for (i=1;i<=npar;i++) p2[i]=x[i];
   cptcovn=0;    for(l=0 ; l <=lmax; l++){
   if (strlen(model)>1) cptcovn=nbocc(model,'+')+1;      l1=pow(10,l);
       delts=delt;
   ncovmodel=2+cptcovn;      for(k=1 ; k <kmax; k=k+1){
   nvar=ncovmodel-1; /* Suppressing age as a basic covariate */        delt = delta*(l1*k);
          p2[theta]=x[theta] +delt;
   /* Read guess parameters */        k1=func(p2)-fx;
   /* Reads comments: lines beginning with '#' */        p2[theta]=x[theta]-delt;
   while((c=getc(ficpar))=='#' && c!= EOF){        k2=func(p2)-fx;
     ungetc(c,ficpar);        /*res= (k1-2.0*fx+k2)/delt/delt; */
     fgets(line, MAXLINE, ficpar);        res= (k1+k2)/delt/delt/2.; /* Divided by because L and not 2*L */
     puts(line);        
     fputs(line,ficparo);  #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);
   ungetc(c,ficpar);        fprintf(ficlog,"%d %d k1=%.12e k2=%.12e xk1=%.12e xk2=%.12e delt=%.12e res=%.12e l=%d k=%d,fx=%.12e\n",theta,theta,k1,k2,x[theta]+delt,x[theta]-delt,delt,res, l, k,fx);
    #endif
   param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);        /*if(fabs(k1-2.0*fx+k2) <1.e-13){ */
     for(i=1; i <=nlstate; i++)        if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)){
     for(j=1; j <=nlstate+ndeath-1; j++){          k=kmax;
       fscanf(ficpar,"%1d%1d",&i1,&j1);        }
       fprintf(ficparo,"%1d%1d",i1,j1);        else if((k1 >khi/nkhif) || (k2 >khi/nkhif)){ /* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. */
       printf("%1d%1d",i,j);          k=kmax; l=lmax*10.;
       for(k=1; k<=ncovmodel;k++){        }
         fscanf(ficpar," %lf",&param[i][j][k]);        else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){ 
         printf(" %lf",param[i][j][k]);          delts=delt;
         fprintf(ficparo," %lf",param[i][j][k]);        }
       }      }
       fscanf(ficpar,"\n");    }
       printf("\n");    delti[theta]=delts;
       fprintf(ficparo,"\n");    return res; 
     }    
    }
     npar= (nlstate+ndeath-1)*nlstate*ncovmodel;  
   double hessij( double x[], double delti[], int thetai,int thetaj,double (*func)(double []),int npar)
   p=param[1][1];  {
      int i;
   /* Reads comments: lines beginning with '#' */    int l=1, l1, lmax=20;
   while((c=getc(ficpar))=='#' && c!= EOF){    double k1,k2,k3,k4,res,fx;
     ungetc(c,ficpar);    double p2[MAXPARM+1];
     fgets(line, MAXLINE, ficpar);    int k;
     puts(line);  
     fputs(line,ficparo);    fx=func(x);
   }    for (k=1; k<=2; k++) {
   ungetc(c,ficpar);      for (i=1;i<=npar;i++) p2[i]=x[i];
       p2[thetai]=x[thetai]+delti[thetai]/k;
   delti3= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);      p2[thetaj]=x[thetaj]+delti[thetaj]/k;
   delti=vector(1,npar); /* Scale of each paramater (output from hesscov) */      k1=func(p2)-fx;
   for(i=1; i <=nlstate; i++){    
     for(j=1; j <=nlstate+ndeath-1; j++){      p2[thetai]=x[thetai]+delti[thetai]/k;
       fscanf(ficpar,"%1d%1d",&i1,&j1);      p2[thetaj]=x[thetaj]-delti[thetaj]/k;
       printf("%1d%1d",i,j);      k2=func(p2)-fx;
       fprintf(ficparo,"%1d%1d",i1,j1);    
       for(k=1; k<=ncovmodel;k++){      p2[thetai]=x[thetai]-delti[thetai]/k;
         fscanf(ficpar,"%le",&delti3[i][j][k]);      p2[thetaj]=x[thetaj]+delti[thetaj]/k;
         printf(" %le",delti3[i][j][k]);      k3=func(p2)-fx;
         fprintf(ficparo," %le",delti3[i][j][k]);    
       }      p2[thetai]=x[thetai]-delti[thetai]/k;
       fscanf(ficpar,"\n");      p2[thetaj]=x[thetaj]-delti[thetaj]/k;
       printf("\n");      k4=func(p2)-fx;
       fprintf(ficparo,"\n");      res=(k1-k2-k3+k4)/4.0/delti[thetai]*k/delti[thetaj]*k/2.; /* Because of L not 2*L */
     }  #ifdef DEBUG
   }      printf("%d %d k=%d, k1=%.12e k2=%.12e k3=%.12e k4=%.12e delti/k=%.12e deltj/k=%.12e, xi-de/k=%.12e xj-de/k=%.12e  res=%.12e k1234=%.12e,k1-2=%.12e,k3-4=%.12e\n",thetai,thetaj,k,k1,k2,k3,k4,delti[thetai]/k,delti[thetaj]/k,x[thetai]-delti[thetai]/k,x[thetaj]-delti[thetaj]/k, res,k1-k2-k3+k4,k1-k2,k3-k4);
   delti=delti3[1][1];      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
   /* Reads comments: lines beginning with '#' */    }
   while((c=getc(ficpar))=='#' && c!= EOF){    return res;
     ungetc(c,ficpar);  }
     fgets(line, MAXLINE, ficpar);  
     puts(line);  /************** Inverse of matrix **************/
     fputs(line,ficparo);  void ludcmp(double **a, int n, int *indx, double *d) 
   }  { 
   ungetc(c,ficpar);    int i,imax,j,k; 
      double big,dum,sum,temp; 
   matcov=matrix(1,npar,1,npar);    double *vv; 
   for(i=1; i <=npar; i++){   
     fscanf(ficpar,"%s",&str);    vv=vector(1,n); 
     printf("%s",str);    *d=1.0; 
     fprintf(ficparo,"%s",str);    for (i=1;i<=n;i++) { 
     for(j=1; j <=i; j++){      big=0.0; 
       fscanf(ficpar," %le",&matcov[i][j]);      for (j=1;j<=n;j++) 
       printf(" %.5le",matcov[i][j]);        if ((temp=fabs(a[i][j])) > big) big=temp; 
       fprintf(ficparo," %.5le",matcov[i][j]);      if (big == 0.0) nrerror("Singular matrix in routine ludcmp"); 
     }      vv[i]=1.0/big; 
     fscanf(ficpar,"\n");    } 
     printf("\n");    for (j=1;j<=n;j++) { 
     fprintf(ficparo,"\n");      for (i=1;i<j;i++) { 
   }        sum=a[i][j]; 
   for(i=1; i <=npar; i++)        for (k=1;k<i;k++) sum -= a[i][k]*a[k][j]; 
     for(j=i+1;j<=npar;j++)        a[i][j]=sum; 
       matcov[i][j]=matcov[j][i];      } 
          big=0.0; 
   printf("\n");      for (i=j;i<=n;i++) { 
         sum=a[i][j]; 
         for (k=1;k<j;k++) 
     /*-------- data file ----------*/          sum -= a[i][k]*a[k][j]; 
     if((ficres =fopen(fileres,"w"))==NULL) {        a[i][j]=sum; 
       printf("Problem with resultfile: %s\n", fileres);goto end;        if ( (dum=vv[i]*fabs(sum)) >= big) { 
     }          big=dum; 
     fprintf(ficres,"#%s\n",version);          imax=i; 
            } 
     if((fic=fopen(datafile,"r"))==NULL)    {      } 
       printf("Problem with datafile: %s\n", datafile);goto end;      if (j != imax) { 
     }        for (k=1;k<=n;k++) { 
           dum=a[imax][k]; 
     n= lastobs;          a[imax][k]=a[j][k]; 
     severity = vector(1,maxwav);          a[j][k]=dum; 
     outcome=imatrix(1,maxwav+1,1,n);        } 
     num=ivector(1,n);        *d = -(*d); 
     moisnais=vector(1,n);        vv[imax]=vv[j]; 
     annais=vector(1,n);      } 
     moisdc=vector(1,n);      indx[j]=imax; 
     andc=vector(1,n);      if (a[j][j] == 0.0) a[j][j]=TINY; 
     agedc=vector(1,n);      if (j != n) { 
     cod=ivector(1,n);        dum=1.0/(a[j][j]); 
     weight=vector(1,n);        for (i=j+1;i<=n;i++) a[i][j] *= dum; 
     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);    free_vector(vv,1,n);  /* Doesn't work */
     s=imatrix(1,maxwav+1,1,n);  ;
     adl=imatrix(1,maxwav+1,1,n);      } 
     tab=ivector(1,NCOVMAX);  
     ncodemax=ivector(1,8);  void lubksb(double **a, int n, int *indx, double b[]) 
   { 
     i=1;    int i,ii=0,ip,j; 
     while (fgets(line, MAXLINE, fic) != NULL)    {    double sum; 
       if ((i >= firstobs) && (i <=lastobs)) {   
            for (i=1;i<=n;i++) { 
         for (j=maxwav;j>=1;j--){      ip=indx[i]; 
           cutv(stra, strb,line,' '); s[j][i]=atoi(strb);      sum=b[ip]; 
           strcpy(line,stra);      b[ip]=b[i]; 
           cutv(stra, strb,line,'/'); anint[j][i]=(double)(atoi(strb)); strcpy(line,stra);      if (ii) 
           cutv(stra, strb,line,' '); mint[j][i]=(double)(atoi(strb)); strcpy(line,stra);        for (j=ii;j<=i-1;j++) sum -= a[i][j]*b[j]; 
         }      else if (sum) ii=i; 
              b[i]=sum; 
         cutv(stra, strb,line,'/'); andc[i]=(double)(atoi(strb)); strcpy(line,stra);    } 
         cutv(stra, strb,line,' '); moisdc[i]=(double)(atoi(strb)); strcpy(line,stra);    for (i=n;i>=1;i--) { 
       sum=b[i]; 
         cutv(stra, strb,line,'/'); annais[i]=(double)(atoi(strb)); strcpy(line,stra);      for (j=i+1;j<=n;j++) sum -= a[i][j]*b[j]; 
         cutv(stra, strb,line,' '); moisnais[i]=(double)(atoi(strb)); strcpy(line,stra);      b[i]=sum/a[i][i]; 
     } 
         cutv(stra, strb,line,' '); weight[i]=(double)(atoi(strb)); strcpy(line,stra);  } 
         for (j=ncov;j>=1;j--){  
           cutv(stra, strb,line,' '); covar[j][i]=(double)(atoi(strb)); strcpy(line,stra);  void pstamp(FILE *fichier)
         }  {
         num[i]=atol(stra);    fprintf(fichier,"# %s.%s\n#%s\n#%s\n# %s", optionfilefiname,optionfilext,version,fullversion,strstart);
          }
         /*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;}*/  /************ Frequencies ********************/
   void  freqsummary(char fileres[], int iagemin, int iagemax, int **s, double **agev, int nlstate, int imx, int *Tvaraff, int **nbcode, int *ncodemax,double **mint,double **anint, char strstart[])
         i=i+1;  {  /* Some frequencies */
       }    
     }    int i, m, jk, k1,i1, j1, bool, z1,j;
     /* printf("ii=%d", ij);    int first;
        scanf("%d",i);*/    double ***freq; /* Frequencies */
   imx=i-1; /* Number of individuals */    double *pp, **prop;
     double pos,posprop, k2, dateintsum=0,k2cpt=0;
   /* for (i=1; i<=imx; i++){    char fileresp[FILENAMELENGTH];
     if ((s[1][i]==3) && (s[2][i]==2)) s[2][i]=3;    
     if ((s[2][i]==3) && (s[3][i]==2)) s[3][i]=3;    pp=vector(1,nlstate);
     if ((s[3][i]==3) && (s[4][i]==2)) s[4][i]=3;    prop=matrix(1,nlstate,iagemin,iagemax+3);
     }    strcpy(fileresp,"p");
     strcat(fileresp,fileres);
     for (i=1; i<=imx; i++)    if((ficresp=fopen(fileresp,"w"))==NULL) {
     if (covar[1][i]==0) 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]));*/      printf("Problem with prevalence resultfile: %s\n", fileresp);
       fprintf(ficlog,"Problem with prevalence resultfile: %s\n", fileresp);
   /* Calculation of the number of parameter from char model*/      exit(0);
   Tvar=ivector(1,15);    }
   Tprod=ivector(1,15);    freq= ma3x(-5,nlstate+ndeath,-5,nlstate+ndeath,iagemin,iagemax+3);
   Tvaraff=ivector(1,15);    j1=0;
   Tvard=imatrix(1,15,1,2);    
   Tage=ivector(1,15);          j=cptcoveff;
        if (cptcovn<1) {j=1;ncodemax[1]=1;}
   if (strlen(model) >1){  
     j=0, j1=0, k1=1, k2=1;    first=1;
     j=nbocc(model,'+');  
     j1=nbocc(model,'*');    for(k1=1; k1<=j;k1++){
     cptcovn=j+1;      for(i1=1; i1<=ncodemax[k1];i1++){
     cptcovprod=j1;        j1++;
            /*printf("cptcoveff=%d Tvaraff=%d", cptcoveff,Tvaraff[1]);
              scanf("%d", i);*/
     strcpy(modelsav,model);        for (i=-5; i<=nlstate+ndeath; i++)  
     if ((strcmp(model,"age")==0) || (strcmp(model,"age*age")==0)){          for (jk=-5; jk<=nlstate+ndeath; jk++)  
       printf("Error. Non available option model=%s ",model);            for(m=iagemin; m <= iagemax+3; m++)
       goto end;              freq[i][jk][m]=0;
     }  
          for (i=1; i<=nlstate; i++)  
     for(i=(j+1); i>=1;i--){        for(m=iagemin; m <= iagemax+3; m++)
       cutv(stra,strb,modelsav,'+');          prop[i][m]=0;
       if (nbocc(modelsav,'+')==0) strcpy(strb,modelsav);        
       /*      printf("i=%d a=%s b=%s sav=%s\n",i, stra,strb,modelsav);*/        dateintsum=0;
       /*scanf("%d",i);*/        k2cpt=0;
       if (strchr(strb,'*')) {        for (i=1; i<=imx; i++) {
         cutv(strd,strc,strb,'*');          bool=1;
         if (strcmp(strc,"age")==0) {          if  (cptcovn>0) {
           cptcovprod--;            for (z1=1; z1<=cptcoveff; z1++) 
           cutv(strb,stre,strd,'V');              if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtab[j1][z1]]) 
           Tvar[i]=atoi(stre);                bool=0;
           cptcovage++;          }
             Tage[cptcovage]=i;          if (bool==1){
             /*printf("stre=%s ", stre);*/            for(m=firstpass; m<=lastpass; m++){
         }              k2=anint[m][i]+(mint[m][i]/12.);
         else if (strcmp(strd,"age")==0) {              /*if ((k2>=dateprev1) && (k2<=dateprev2)) {*/
           cptcovprod--;                if(agev[m][i]==0) agev[m][i]=iagemax+1;
           cutv(strb,stre,strc,'V');                if(agev[m][i]==1) agev[m][i]=iagemax+2;
           Tvar[i]=atoi(stre);                if (s[m][i]>0 && s[m][i]<=nlstate) prop[s[m][i]][(int)agev[m][i]] += weight[i];
           cptcovage++;                if (m<lastpass) {
           Tage[cptcovage]=i;                  freq[s[m][i]][s[m+1][i]][(int)agev[m][i]] += weight[i];
         }                  freq[s[m][i]][s[m+1][i]][iagemax+3] += weight[i];
         else {                }
           cutv(strb,stre,strc,'V');                
           Tvar[i]=ncov+k1;                if ((agev[m][i]>1) && (agev[m][i]< (iagemax+3))) {
           cutv(strb,strc,strd,'V');                  dateintsum=dateintsum+k2;
           Tprod[k1]=i;                  k2cpt++;
           Tvard[k1][1]=atoi(strc);                }
           Tvard[k1][2]=atoi(stre);                /*}*/
           Tvar[cptcovn+k2]=Tvard[k1][1];            }
           Tvar[cptcovn+k2+1]=Tvard[k1][2];          }
           for (k=1; k<=lastobs;k++)        }
             covar[ncov+k1][k]=covar[atoi(stre)][k]*covar[atoi(strc)][k];         
           k1++;        /*      fprintf(ficresp, "#Count between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);*/
           k2=k2+2;        pstamp(ficresp);
         }        if  (cptcovn>0) {
       }          fprintf(ficresp, "\n#********** Variable "); 
       else {          for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresp, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
         /*printf("d=%s c=%s b=%s\n", strd,strc,strb);*/          fprintf(ficresp, "**********\n#");
        /*  scanf("%d",i);*/        }
       cutv(strd,strc,strb,'V');        for(i=1; i<=nlstate;i++) 
       Tvar[i]=atoi(strc);          fprintf(ficresp, " Age Prev(%d) N(%d) N",i,i);
       }        fprintf(ficresp, "\n");
       strcpy(modelsav,stra);          
       /*printf("a=%s b=%s sav=%s\n", stra,strb,modelsav);        for(i=iagemin; i <= iagemax+3; i++){
         scanf("%d",i);*/          if(i==iagemax+3){
     }            fprintf(ficlog,"Total");
 }          }else{
              if(first==1){
   /*printf("tvar1=%d tvar2=%d tvar3=%d cptcovage=%d Tage=%d",Tvar[1],Tvar[2],Tvar[3],cptcovage,Tage[1]);              first=0;
   printf("cptcovprod=%d ", cptcovprod);              printf("See log file for details...\n");
   scanf("%d ",i);*/            }
     fclose(fic);            fprintf(ficlog,"Age %d", i);
           }
     /*  if(mle==1){*/          for(jk=1; jk <=nlstate ; jk++){
     if (weightopt != 1) { /* Maximisation without weights*/            for(m=-1, pp[jk]=0; m <=nlstate+ndeath ; m++)
       for(i=1;i<=n;i++) weight[i]=1.0;              pp[jk] += freq[jk][m][i]; 
     }          }
     /*-calculation of age at interview from date of interview and age at death -*/          for(jk=1; jk <=nlstate ; jk++){
     agev=matrix(1,maxwav,1,imx);            for(m=-1, pos=0; m <=0 ; m++)
               pos += freq[jk][m][i];
    for (i=1; i<=imx; i++)            if(pp[jk]>=1.e-10){
      for(m=2; (m<= maxwav); m++)              if(first==1){
        if ((mint[m][i]== 99) && (s[m][i] <= nlstate)){                printf(" %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);
          anint[m][i]=9999;              }
          s[m][i]=-1;              fprintf(ficlog," %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);
        }            }else{
                  if(first==1)
     for (i=1; i<=imx; i++)  {                printf(" %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);
       agedc[i]=(moisdc[i]/12.+andc[i])-(moisnais[i]/12.+annais[i]);              fprintf(ficlog," %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);
       for(m=1; (m<= maxwav); m++){            }
         if(s[m][i] >0){          }
           if (s[m][i] == nlstate+1) {  
             if(agedc[i]>0)          for(jk=1; jk <=nlstate ; jk++){
               if(moisdc[i]!=99 && andc[i]!=9999)            for(m=0, pp[jk]=0; m <=nlstate+ndeath; m++)
               agev[m][i]=agedc[i];              pp[jk] += freq[jk][m][i];
             else {          }       
               if (andc[i]!=9999){          for(jk=1,pos=0,posprop=0; jk <=nlstate ; jk++){
               printf("Warning negative age at death: %d line:%d\n",num[i],i);            pos += pp[jk];
               agev[m][i]=-1;            posprop += prop[jk][i];
               }          }
             }          for(jk=1; jk <=nlstate ; jk++){
           }            if(pos>=1.e-5){
           else if(s[m][i] !=9){ /* Should no more exist */              if(first==1)
             agev[m][i]=(mint[m][i]/12.+1./24.+anint[m][i])-(moisnais[i]/12.+1./24.+annais[i]);                printf(" %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);
             if(mint[m][i]==99 || anint[m][i]==9999)              fprintf(ficlog," %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);
               agev[m][i]=1;            }else{
             else if(agev[m][i] <agemin){              if(first==1)
               agemin=agev[m][i];                printf(" %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);
               /*printf(" Min anint[%d][%d]=%.2f annais[%d]=%.2f, agemin=%.2f\n",m,i,anint[m][i], i,annais[i], agemin);*/              fprintf(ficlog," %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);
             }            }
             else if(agev[m][i] >agemax){            if( i <= iagemax){
               agemax=agev[m][i];              if(pos>=1.e-5){
              /* printf(" anint[%d][%d]=%.0f annais[%d]=%.0f, agemax=%.0f\n",m,i,anint[m][i], i,annais[i], agemax);*/                fprintf(ficresp," %d %.5f %.0f %.0f",i,prop[jk][i]/posprop, prop[jk][i],posprop);
             }                /*probs[i][jk][j1]= pp[jk]/pos;*/
             /*agev[m][i]=anint[m][i]-annais[i];*/                /*printf("\ni=%d jk=%d j1=%d %.5f %.0f %.0f %f",i,jk,j1,pp[jk]/pos, pp[jk],pos,probs[i][jk][j1]);*/
             /*   agev[m][i] = age[i]+2*m;*/              }
           }              else
           else { /* =9 */                fprintf(ficresp," %d NaNq %.0f %.0f",i,prop[jk][i],posprop);
             agev[m][i]=1;            }
             s[m][i]=-1;          }
           }          
         }          for(jk=-1; jk <=nlstate+ndeath; jk++)
         else /*= 0 Unknown */            for(m=-1; m <=nlstate+ndeath; m++)
           agev[m][i]=1;              if(freq[jk][m][i] !=0 ) {
       }              if(first==1)
                    printf(" %d%d=%.0f",jk,m,freq[jk][m][i]);
     }                fprintf(ficlog," %d%d=%.0f",jk,m,freq[jk][m][i]);
     for (i=1; i<=imx; i++)  {              }
       for(m=1; (m<= maxwav); m++){          if(i <= iagemax)
         if (s[m][i] > (nlstate+ndeath)) {            fprintf(ficresp,"\n");
           printf("Error: Wrong value in nlstate or ndeath\n");            if(first==1)
           goto end;            printf("Others in log...\n");
         }          fprintf(ficlog,"\n");
       }        }
     }      }
     }
 printf("Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, agemin, agemax);    dateintmean=dateintsum/k2cpt; 
    
     free_vector(severity,1,maxwav);    fclose(ficresp);
     free_imatrix(outcome,1,maxwav+1,1,n);    free_ma3x(freq,-5,nlstate+ndeath,-5,nlstate+ndeath, iagemin, iagemax+3);
     free_vector(moisnais,1,n);    free_vector(pp,1,nlstate);
     free_vector(annais,1,n);    free_matrix(prop,1,nlstate,iagemin, iagemax+3);
     /* free_matrix(mint,1,maxwav,1,n);    /* End of Freq */
        free_matrix(anint,1,maxwav,1,n);*/  }
     free_vector(moisdc,1,n);  
     free_vector(andc,1,n);  /************ 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)
      {  
     wav=ivector(1,imx);    /* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people
     dh=imatrix(1,lastpass-firstpass+1,1,imx);       in each health status at the date of interview (if between dateprev1 and dateprev2).
     mw=imatrix(1,lastpass-firstpass+1,1,imx);       We still use firstpass and lastpass as another selection.
        */
     /* Concatenates waves */   
       concatwav(wav, dh, mw, s, agedc, agev,  firstpass, lastpass, imx, nlstate, stepm);    int i, m, jk, k1, i1, j1, bool, z1,j;
     double ***freq; /* Frequencies */
     double *pp, **prop;
       Tcode=ivector(1,100);    double pos,posprop; 
       nbcode=imatrix(0,NCOVMAX,0,NCOVMAX);    double  y2; /* in fractional years */
       ncodemax[1]=1;    int iagemin, iagemax;
       if (cptcovn > 0) tricode(Tvar,nbcode,imx);  
          iagemin= (int) agemin;
    codtab=imatrix(1,100,1,10);    iagemax= (int) agemax;
    h=0;    /*pp=vector(1,nlstate);*/
    m=pow(2,cptcoveff);    prop=matrix(1,nlstate,iagemin,iagemax+3); 
      /*  freq=ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,iagemin,iagemax+3);*/
    for(k=1;k<=cptcoveff; k++){    j1=0;
      for(i=1; i <=(m/pow(2,k));i++){    
        for(j=1; j <= ncodemax[k]; j++){    j=cptcoveff;
          for(cpt=1; cpt <=(m/pow(2,cptcoveff+1-k)); cpt++){    if (cptcovn<1) {j=1;ncodemax[1]=1;}
            h++;    
            if (h>m) h=1;codtab[h][k]=j;    for(k1=1; k1<=j;k1++){
          }      for(i1=1; i1<=ncodemax[k1];i1++){
        }        j1++;
      }        
    }        for (i=1; i<=nlstate; i++)  
              for(m=iagemin; m <= iagemax+3; m++)
    /* Calculates basic frequencies. Computes observed prevalence at single age            prop[i][m]=0.0;
        and prints on file fileres'p'. */       
         for (i=1; i<=imx; i++) { /* Each individual */
              bool=1;
              if  (cptcovn>0) {
     pmmij= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */            for (z1=1; z1<=cptcoveff; z1++) 
     oldms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */              if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtab[j1][z1]]) 
     newms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */                bool=0;
     savms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */          } 
     oldm=oldms; newm=newms; savm=savms; /* Keeps fixed addresses to free */          if (bool==1) { 
                  for(m=firstpass; m<=lastpass; m++){/* Other selection (we can limit to certain interviews*/
     /* For Powell, parameters are in a vector p[] starting at p[1]              y2=anint[m][i]+(mint[m][i]/12.); /* Fractional date in year */
        so we point p on param[1][1] so that p[1] maps on param[1][1][1] */              if ((y2>=dateprev1) && (y2<=dateprev2)) { /* Here is the main selection (fractional years) */
     p=param[1][1]; /* *(*(*(param +1)+1)+0) */                if(agev[m][i]==0) agev[m][i]=iagemax+1;
                 if(agev[m][i]==1) agev[m][i]=iagemax+2;
     if(mle==1){                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); 
     mlikeli(ficres,p, npar, ncovmodel, nlstate, ftol, func);                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]]);*/
                      prop[s[m][i]][(int)agev[m][i]] += weight[i];
     /*--------- results files --------------*/                  prop[s[m][i]][iagemax+3] += weight[i]; 
     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);                } 
                }
             } /* end selection of waves */
    jk=1;          }
    fprintf(ficres,"# Parameters\n");        }
    printf("# Parameters\n");        for(i=iagemin; i <= iagemax+3; i++){  
    for(i=1,jk=1; i <=nlstate; i++){          
      for(k=1; k <=(nlstate+ndeath); k++){          for(jk=1,posprop=0; jk <=nlstate ; jk++) { 
        if (k != i)            posprop += prop[jk][i]; 
          {          } 
            printf("%d%d ",i,k);  
            fprintf(ficres,"%1d%1d ",i,k);          for(jk=1; jk <=nlstate ; jk++){     
            for(j=1; j <=ncovmodel; j++){            if( i <=  iagemax){ 
              printf("%f ",p[jk]);              if(posprop>=1.e-5){ 
              fprintf(ficres,"%f ",p[jk]);                probs[i][jk][j1]= prop[jk][i]/posprop;
              jk++;              } else
            }                printf("Warning Observed prevalence probs[%d][%d][%d]=%lf because of lack of cases\n",jk,i,j1,probs[i][jk][j1]);
            printf("\n");            } 
            fprintf(ficres,"\n");          }/* end jk */ 
          }        }/* end i */ 
      }      } /* end i1 */
    }    } /* end k1 */
  if(mle==1){    
     /* Computing hessian and covariance matrix */    /*  free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath, iagemin, iagemax+3);*/
     ftolhess=ftol; /* Usually correct */    /*free_vector(pp,1,nlstate);*/
     hesscov(matcov, p, npar, delti, ftolhess, func);    free_matrix(prop,1,nlstate, iagemin,iagemax+3);
  }  }  /* End of prevalence */
     fprintf(ficres,"# Scales\n");  
     printf("# Scales\n");  /************* Waves Concatenation ***************/
      for(i=1,jk=1; i <=nlstate; i++){  
       for(j=1; j <=nlstate+ndeath; j++){  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)
         if (j!=i) {  {
           fprintf(ficres,"%1d%1d",i,j);    /* Concatenates waves: wav[i] is the number of effective (useful waves) of individual i.
           printf("%1d%1d",i,j);       Death is a valid wave (if date is known).
           for(k=1; k<=ncovmodel;k++){       mw[mi][i] is the mi (mi=1 to wav[i])  effective wave of individual i
             printf(" %.5e",delti[jk]);       dh[m][i] or dh[mw[mi][i]][i] is the delay between two effective waves m=mw[mi][i]
             fprintf(ficres," %.5e",delti[jk]);       and mw[mi+1][i]. dh depends on stepm.
             jk++;       */
           }  
           printf("\n");    int i, mi, m;
           fprintf(ficres,"\n");    /* int j, k=0,jk, ju, jl,jmin=1e+5, jmax=-1;
         }       double sum=0., jmean=0.;*/
       }    int first;
      }    int j, k=0,jk, ju, jl;
        double sum=0.;
     k=1;    first=0;
     fprintf(ficres,"# Covariance\n");    jmin=1e+5;
     printf("# Covariance\n");    jmax=-1;
     for(i=1;i<=npar;i++){    jmean=0.;
       /*  if (k>nlstate) k=1;    for(i=1; i<=imx; i++){
       i1=(i-1)/(ncovmodel*nlstate)+1;      mi=0;
       fprintf(ficres,"%s%d%d",alph[k],i1,tab[i]);      m=firstpass;
       printf("%s%d%d",alph[k],i1,tab[i]);*/      while(s[m][i] <= nlstate){
       fprintf(ficres,"%3d",i);        if(s[m][i]>=1 || s[m][i]==-2 || s[m][i]==-4 || s[m][i]==-5)
       printf("%3d",i);          mw[++mi][i]=m;
       for(j=1; j<=i;j++){        if(m >=lastpass)
         fprintf(ficres," %.5e",matcov[i][j]);          break;
         printf(" %.5e",matcov[i][j]);        else
       }          m++;
       fprintf(ficres,"\n");      }/* end while */
       printf("\n");      if (s[m][i] > nlstate){
       k++;        mi++;     /* Death is another wave */
     }        /* if(mi==0)  never been interviewed correctly before death */
               /* Only death is a correct wave */
     while((c=getc(ficpar))=='#' && c!= EOF){        mw[mi][i]=m;
       ungetc(c,ficpar);      }
       fgets(line, MAXLINE, ficpar);  
       puts(line);      wav[i]=mi;
       fputs(line,ficparo);      if(mi==0){
     }        nbwarn++;
     ungetc(c,ficpar);        if(first==0){
            printf("Warning! No valid information for individual %ld line=%d (skipped) and may be others, see log file\n",num[i],i);
     fscanf(ficpar,"agemin=%lf agemax=%lf bage=%lf fage=%lf\n",&agemin,&agemax, &bage, &fage);          first=1;
            }
     if (fage <= 2) {        if(first==1){
       bage = agemin;          fprintf(ficlog,"Warning! No valid information for individual %ld line=%d (skipped)\n",num[i],i);
       fage = agemax;        }
     }      } /* end mi==0 */
     } /* End individuals */
     fprintf(ficres,"# agemin agemax for life expectancy.\n");  
     for(i=1; i<=imx; i++){
     fprintf(ficres,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f\n",agemin,agemax,bage,fage);      for(mi=1; mi<wav[i];mi++){
     fprintf(ficparo,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f\n",agemin,agemax,bage,fage);        if (stepm <=0)
            dh[mi][i]=1;
     while((c=getc(ficpar))=='#' && c!= EOF){        else{
     ungetc(c,ficpar);          if (s[mw[mi+1][i]][i] > nlstate) { /* A death */
     fgets(line, MAXLINE, ficpar);            if (agedc[i] < 2*AGESUP) {
     puts(line);              j= rint(agedc[i]*12-agev[mw[mi][i]][i]*12); 
     fputs(line,ficparo);              if(j==0) j=1;  /* Survives at least one month after exam */
   }              else if(j<0){
   ungetc(c,ficpar);                nberr++;
                  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]);
   fscanf(ficpar,"begin-prev-date=%lf/%lf/%lf end-prev-date=%lf/%lf/%lf mob_average=%d\n",&jprev1, &mprev1,&anprev1,&jprev2, &mprev2,&anprev2,&mobilav);                j=1; /* Temporary Dangerous patch */
   fprintf(ficparo,"begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf mob_average=%d\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,mobilav);                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(ficres,"begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf mob_average=%d\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,mobilav);                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]);
                      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);
   while((c=getc(ficpar))=='#' && c!= EOF){              }
     ungetc(c,ficpar);              k=k+1;
     fgets(line, MAXLINE, ficpar);              if (j >= jmax){
     puts(line);                jmax=j;
     fputs(line,ficparo);                ijmax=i;
   }              }
   ungetc(c,ficpar);              if (j <= jmin){
                  jmin=j;
                 ijmin=i;
    dateprev1=anprev1+mprev1/12.+jprev1/365.;              }
    dateprev2=anprev2+mprev2/12.+jprev2/365.;              sum=sum+j;
               /*if (j<0) printf("j=%d num=%d \n",j,i);*/
   fscanf(ficpar,"pop_based=%d\n",&popbased);              /*    printf("%d %d %d %d\n", s[mw[mi][i]][i] ,s[mw[mi+1][i]][i],j,i);*/
    fprintf(ficparo,"pop_based=%d\n",popbased);              }
    fprintf(ficres,"pop_based=%d\n",popbased);            }
           else{
   while((c=getc(ficpar))=='#' && c!= EOF){            j= rint( (agev[mw[mi+1][i]][i]*12 - agev[mw[mi][i]][i]*12));
     ungetc(c,ficpar);  /*        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]); */
     fgets(line, MAXLINE, ficpar);  
     puts(line);            k=k+1;
     fputs(line,ficparo);            if (j >= jmax) {
   }              jmax=j;
   ungetc(c,ficpar);              ijmax=i;
   fscanf(ficpar,"popforecast=%d popfile=%s starting-proj-date=%lf/%lf/%lf final-proj-date=%lf/%lf/%lf\n",&popforecast,popfile,&jproj1,&mproj1,&anproj1,&jproj2,&mproj2,&anproj2);            }
 fprintf(ficparo,"popforecast=%d popfile=%s starting-proj-date=%.lf/%.lf/%.lf final-proj-date=%.lf/%.lf/%.lf\n",popforecast,popfile,jproj1,mproj1,anproj1,jproj2,mproj2,anproj2);            else if (j <= jmin){
 fprintf(ficres,"popforecast=%d popfile=%s starting-proj-date=%.lf/%.lf/%.lf final-proj-date=%.lf/%.lf/%.lf\n",popforecast,popfile,jproj1,mproj1,anproj1,jproj2,mproj2,anproj2);              jmin=j;
               ijmin=i;
  freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvar,nbcode, ncodemax,mint,anint,dateprev1,dateprev2);            }
             /*        if (j<10) printf("j=%d jmin=%d num=%d ",j,jmin,i); */
  /*------------ gnuplot -------------*/            /*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]);*/
 chdir(pathcd);            if(j<0){
   if((ficgp=fopen("graph.plt","w"))==NULL) {              nberr++;
     printf("Problem with file graph.gp");goto end;              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]);
 #ifdef windows            }
   fprintf(ficgp,"cd \"%s\" \n",pathc);            sum=sum+j;
 #endif          }
 m=pow(2,cptcoveff);          jk= j/stepm;
            jl= j -jk*stepm;
  /* 1eme*/          ju= j -(jk+1)*stepm;
   for (cpt=1; cpt<= nlstate ; cpt ++) {          if(mle <=1){ /* only if we use a the linear-interpoloation pseudo-likelihood */
    for (k1=1; k1<= m ; k1 ++) {            if(jl==0){
               dh[mi][i]=jk;
 #ifdef windows              bh[mi][i]=0;
     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);            }else{ /* We want a negative bias in order to only have interpolation ie
 #endif                    * to avoid the price of an extra matrix product in likelihood */
 #ifdef unix              dh[mi][i]=jk+1;
 fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \nplot [%.f:%.f] \"vpl%s\" u 1:2 \"\%%lf",agemin,fage,fileres);              bh[mi][i]=ju;
 #endif            }
           }else{
 for (i=1; i<= nlstate ; i ++) {            if(jl <= -ju){
   if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");              dh[mi][i]=jk;
   else fprintf(ficgp," \%%*lf (\%%*lf)");              bh[mi][i]=jl;       /* bias is positive if real duration
 }                                   * is higher than the multiple of stepm and negative otherwise.
     fprintf(ficgp,"\" t\"Stationary prevalence\" w l 0,\"vpl%s\" every :::%d::%d u 1:($2+2*$3) \"\%%lf",fileres,k1-1,k1-1);                                   */
     for (i=1; i<= nlstate ; i ++) {            }
   if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");            else{
   else fprintf(ficgp," \%%*lf (\%%*lf)");              dh[mi][i]=jk+1;
 }              bh[mi][i]=ju;
   fprintf(ficgp,"\" t\"95\%% CI\" w l 1,\"vpl%s\" every :::%d::%d u 1:($2-2*$3) \"\%%lf",fileres,k1-1,k1-1);            }
      for (i=1; i<= nlstate ; i ++) {            if(dh[mi][i]==0){
   if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");              dh[mi][i]=1; /* At least one step */
   else fprintf(ficgp," \%%*lf (\%%*lf)");              bh[mi][i]=ju; /* At least one step */
 }                /*  printf(" bh=%d ju=%d jl=%d dh=%d jk=%d stepm=%d %d\n",bh[mi][i],ju,jl,dh[mi][i],jk,stepm,i);*/
      fprintf(ficgp,"\" t\"\" w l 1,\"p%s\" every :::%d::%d u 1:($%d) t\"Observed prevalence \" w l 2",fileres,k1-1,k1-1,2+4*(cpt-1));            }
 #ifdef unix          } /* end if mle */
 fprintf(ficgp,"\nset ter gif small size 400,300");        }
 #endif      } /* end wave */
 fprintf(ficgp,"\nset out \"v%s%d%d.gif\" \nreplot\n\n",strtok(optionfile, "."),cpt,k1);    }
    }    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);
   /*2 eme*/    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);
    }
   for (k1=1; k1<= m ; k1 ++) {  
     fprintf(ficgp,"set ylabel \"Years\" \nset ter gif small size 400,300\nplot [%.f:%.f] ",agemin,fage);  /*********** Tricode ****************************/
      void tricode(int *Tvar, int **nbcode, int imx)
     for (i=1; i<= nlstate+1 ; i ++) {  {
       k=2*i;    /* Uses cptcovn+2*cptcovprod as the number of covariates */
       fprintf(ficgp,"\"t%s\" every :::%d::%d u 1:2 \"\%%lf",fileres,k1-1,k1-1);    /*      Tvar[i]=atoi(stre); /* find 'n' in Vn and stores in Tvar. If model=V2+V1 Tvar[1]=2 and Tvar[2]=1 */
       for (j=1; j<= nlstate+1 ; j ++) {  
   if (j==i) fprintf(ficgp," \%%lf (\%%lf)");    int Ndum[20],ij=1, k=0, j=0, i=0, maxncov=NCOVMAX;
   else fprintf(ficgp," \%%*lf (\%%*lf)");    int modmaxcovj=0; /* Modality max of covariates j */
 }      cptcoveff=0; 
       if (i== 1) fprintf(ficgp,"\" t\"TLE\" w l ,");   
       else fprintf(ficgp,"\" t\"LE in state (%d)\" w l ,",i-1);    for (k=0; k<maxncov; k++) Ndum[k]=0;
     fprintf(ficgp,"\"t%s\" every :::%d::%d u 1:($2-$3*2) \"\%%lf",fileres,k1-1,k1-1);    for (k=1; k<=7; k++) ncodemax[k]=0; /* Horrible constant again */
       for (j=1; j<= nlstate+1 ; j ++) {  
         if (j==i) fprintf(ficgp," \%%lf (\%%lf)");    for (j=1; j<=(cptcovn+2*cptcovprod); j++) { /* For each covariate j */
         else fprintf(ficgp," \%%*lf (\%%*lf)");      for (i=1; i<=imx; i++) { /*reads the data file to get the maximum value of the 
 }                                   modality of this covariate Vj*/ 
       fprintf(ficgp,"\" t\"\" w l 0,");        ij=(int)(covar[Tvar[j]][i]); /* ij=0 or 1 or -1. Finds for covariate j, n=Tvar[j] of Vn . ij is the
      fprintf(ficgp,"\"t%s\" every :::%d::%d u 1:($2+$3*2) \"\%%lf",fileres,k1-1,k1-1);                                        modality of the nth covariate of individual i. */
       for (j=1; j<= nlstate+1 ; j ++) {        Ndum[ij]++; /*counts and stores the occurence of this modality 0, 1, -1*/
   if (j==i) fprintf(ficgp," \%%lf (\%%lf)");        /*printf("i=%d ij=%d Ndum[ij]=%d imx=%d",i,ij,Ndum[ij],imx);*/
   else fprintf(ficgp," \%%*lf (\%%*lf)");        if (ij > modmaxcovj) modmaxcovj=ij; 
 }          /* getting the maximum value of the modality of the covariate
       if (i== (nlstate+1)) fprintf(ficgp,"\" t\"\" w l 0");           (should be 0 or 1 now) Tvar[j]. If V=sex and male is coded 0 and
       else fprintf(ficgp,"\" t\"\" w l 0,");           female is 1, then modmaxcovj=1.*/
     }      }
     fprintf(ficgp,"\nset out \"e%s%d.gif\" \nreplot\n\n",strtok(optionfile, "."),k1);      /* Ndum[0] = frequency of 0 for model-covariate j, Ndum[1] frequency of 1 etc. */
   }      for (i=0; i<=modmaxcovj; i++) { /* i=-1 ? 0 and 1*//* For each modality of model-cov j */
          if( Ndum[i] != 0 )
   /*3eme*/          ncodemax[j]++; 
         /* Number of modalities of the j th covariate. In fact
   for (k1=1; k1<= m ; k1 ++) {           ncodemax[j]=2 (dichotom. variables only) but it could be more for
     for (cpt=1; cpt<= nlstate ; cpt ++) {           historical reasons */
       k=2+nlstate*(cpt-1);      } /* Ndum[-1] number of undefined modalities */
       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);  
       for (i=1; i< nlstate ; i ++) {      /* j is a covariate, n=Tvar[j] of Vn; Fills nbcode */
         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);      ij=1; 
       }      for (i=1; i<=ncodemax[j]; i++) { /* i= 1 to 2 for dichotomous */
       fprintf(ficgp,"\nset out \"exp%s%d%d.gif\" \nreplot\n\n",strtok(optionfile, "."),cpt,k1);        for (k=0; k<= modmaxcovj; k++) { /* k=-1 ? NCOVMAX*//* maxncov or modmaxcovj */
     }          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. 
                                         k is a modality. If we have model=V1+V1*sex 
   /* CV preval stat */                                       then: nbcode[1][1]=0 ; nbcode[1][2]=1; nbcode[2][1]=0 ; nbcode[2][2]=1; */
   for (k1=1; k1<= m ; k1 ++) {            ij++;
     for (cpt=1; cpt<nlstate ; cpt ++) {          }
       k=3;          if (ij > ncodemax[j]) break; 
       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/($%d",agemin,agemax,fileres,k1,k+cpt+1,k+1);        }  /* end of loop on */
       for (i=1; i< nlstate ; i ++)      } /* end of loop on modality */ 
         fprintf(ficgp,"+$%d",k+i+1);    } /* end of loop on model-covariate j. nbcode[Tvarj][1]=0 and nbcode[Tvarj][2]=1 sets the value of covariate j*/  
       fprintf(ficgp,")) t\"prev(%d,%d)\" w l",cpt,cpt+1);    
          for (k=0; k< maxncov; k++) Ndum[k]=0;
       l=3+(nlstate+ndeath)*cpt;    
       fprintf(ficgp,",\"pij%s\" u ($1==%d ? ($3):1/0):($%d/($%d",fileres,k1,l+cpt+1,l+1);    for (i=1; i<=ncovmodel-2; i++) { /* -2, cste and age */
       for (i=1; i< nlstate ; i ++) {     /* Listing of all covariables in statement model to see if some covariates appear twice. For example, V1 appears twice in V1+V1*V2.*/
         l=3+(nlstate+ndeath)*cpt;     ij=Tvar[i]; /* Tvar might be -1 if status was unknown */
         fprintf(ficgp,"+$%d",l+i+1);     Ndum[ij]++;
       }   }
       fprintf(ficgp,")) t\"prev(%d,%d)\" w l\n",cpt+1,cpt+1);    
       fprintf(ficgp,"set out \"p%s%d%d.gif\" \nreplot\n\n",strtok(optionfile, "."),cpt,k1);   ij=1;
     }   for (i=1; i<= maxncov; i++) { /* modmaxcovj is unknown here. Only Ndum[2(V2),3(age*V3), 5(V3*V2) 6(V1*V4) */
   }       if((Ndum[i]!=0) && (i<=ncovcol)){
        Tvaraff[ij]=i; /*For printing */
   /* proba elementaires */       ij++;
    for(i=1,jk=1; i <=nlstate; i++){     }
     for(k=1; k <=(nlstate+ndeath); k++){   }
       if (k != i) {   ij--;
         for(j=1; j <=ncovmodel; j++){   cptcoveff=ij; /*Number of simple covariates*/
           /*fprintf(ficgp,"%s%1d%1d=%f ",alph[j],i,k,p[jk]);*/  }
           /*fprintf(ficgp,"%s",alph[1]);*/  
           fprintf(ficgp,"p%d=%f ",jk,p[jk]);  /*********** Health Expectancies ****************/
           jk++;  
           fprintf(ficgp,"\n");  void evsij(double ***eij, double x[], int nlstate, int stepm, int bage, int fage, double **oldm, double **savm, int cij, int estepm,char strstart[] )
         }  
       }  {
     }    /* Health expectancies, no variances */
     }    int i, j, nhstepm, hstepm, h, nstepm, k, cptj, cptj2, i2, j2;
     int nhstepma, nstepma; /* Decreasing with age */
   for(jk=1; jk <=m; jk++) {    double age, agelim, hf;
   fprintf(ficgp,"\nset ter gif small size 400,300\nset log y\nplot  [%.f:%.f] ",agemin,agemax);    double ***p3mat;
    i=1;    double eip;
    for(k2=1; k2<=nlstate; k2++) {  
      k3=i;    pstamp(ficreseij);
      for(k=1; k<=(nlstate+ndeath); k++) {    fprintf(ficreseij,"# (a) Life expectancies by health status at initial age and (b) health expectancies by health status at initial age\n");
        if (k != k2){    fprintf(ficreseij,"# Age");
         fprintf(ficgp," exp(p%d+p%d*x",i,i+1);    for(i=1; i<=nlstate;i++){
 ij=1;      for(j=1; j<=nlstate;j++){
         for(j=3; j <=ncovmodel; j++) {        fprintf(ficreseij," e%1d%1d ",i,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]]]);      fprintf(ficreseij," e%1d. ",i);
             ij++;    }
           }    fprintf(ficreseij,"\n");
           else  
           fprintf(ficgp,"+p%d*%d",i+j-1,nbcode[Tvar[j-2]][codtab[jk][j-2]]);    
         }    if(estepm < stepm){
           fprintf(ficgp,")/(1");      printf ("Problem %d lower than %d\n",estepm, stepm);
            }
         for(k1=1; k1 <=nlstate; k1++){      else  hstepm=estepm;   
           fprintf(ficgp,"+exp(p%d+p%d*x",k3+(k1-1)*ncovmodel,k3+(k1-1)*ncovmodel+1);    /* We compute the life expectancy from trapezoids spaced every estepm months
 ij=1;     * This is mainly to measure the difference between two models: for example
           for(j=3; j <=ncovmodel; j++){     * if stepm=24 months pijx are given only every 2 years and by summing them
           if(((j-2)==Tage[ij]) &&(ij <=cptcovage)) {     * we are calculating an estimate of the Life Expectancy assuming a linear 
             fprintf(ficgp,"+p%d*%d*x",k3+(k1-1)*ncovmodel+1+j-2,nbcode[Tvar[j-2]][codtab[jk][Tvar[j-2]]]);     * progression in between and thus overestimating or underestimating according
             ij++;     * 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
           else     * to compare the new estimate of Life expectancy with the same linear 
             fprintf(ficgp,"+p%d*%d",k3+(k1-1)*ncovmodel+1+j-2,nbcode[Tvar[j-2]][codtab[jk][j-2]]);     * hypothesis. A more precise result, taking into account a more precise
           }     * curvature will be obtained if estepm is as small as stepm. */
           fprintf(ficgp,")");  
         }    /* For example we decided to compute the life expectancy with the smallest unit */
         fprintf(ficgp,") t \"p%d%d\" ", k2,k);    /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
         if ((k+k2)!= (nlstate*2+ndeath)) fprintf(ficgp,",");       nhstepm is the number of hstepm from age to agelim 
         i=i+ncovmodel;       nstepm is the number of stepm from age to agelin. 
        }       Look at hpijx to understand the reason of that which relies in memory size
      }       and note for a fixed period like estepm months */
    }    /* We decided (b) to get a life expectancy respecting the most precise curvature of the
    fprintf(ficgp,"\nset out \"pe%s%d.gif\" \nreplot\n\n",strtok(optionfile, "."),jk);       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 
   fclose(ficgp);       results. So we changed our mind and took the option of the best precision.
        */
 chdir(path);    hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
      
     free_ivector(wav,1,imx);    agelim=AGESUP;
     free_imatrix(dh,1,lastpass-firstpass+1,1,imx);    /* If stepm=6 months */
     free_imatrix(mw,1,lastpass-firstpass+1,1,imx);        /* Computed by stepm unit matrices, product of hstepm matrices, stored
     free_ivector(num,1,n);         in an array of nhstepm length: nhstepm=10, hstepm=4, stepm=6 months */
     free_vector(agedc,1,n);      
     /*free_matrix(covar,1,NCOVMAX,1,n);*/  /* nhstepm age range expressed in number of stepm */
     fclose(ficparo);    nstepm=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
     fclose(ficres);    /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
     /*  }*/    /* if (stepm >= YEARM) hstepm=1;*/
        nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
    /*________fin mle=1_________*/    p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
      
     for (age=bage; age<=fage; age ++){ 
        nstepma=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
     /* No more information from the sample is required now */      /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
   /* Reads comments: lines beginning with '#' */      /* if (stepm >= YEARM) hstepm=1;*/
   while((c=getc(ficpar))=='#' && c!= EOF){      nhstepma = nstepma/hstepm;/* Expressed in hstepm, typically nhstepma=40/4=10 */
     ungetc(c,ficpar);  
     fgets(line, MAXLINE, ficpar);      /* If stepm=6 months */
     puts(line);      /* Computed by stepm unit matrices, product of hstepma matrices, stored
     fputs(line,ficparo);         in an array of nhstepma length: nhstepma=10, hstepm=4, stepm=6 months */
   }      
   ungetc(c,ficpar);      hpxij(p3mat,nhstepma,age,hstepm,x,nlstate,stepm,oldm, savm, cij);  
        
   fscanf(ficpar,"agemin=%lf agemax=%lf bage=%lf fage=%lf\n",&agemin,&agemax, &bage, &fage);      hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
   printf("agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f\n",agemin,agemax, bage, fage);      
   fprintf(ficparo,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f\n",agemin,agemax,bage,fage);      printf("%d|",(int)age);fflush(stdout);
 /*--------- index.htm --------*/      fprintf(ficlog,"%d|",(int)age);fflush(ficlog);
       
   strcpy(optionfilehtm,optionfile);      /* Computing expectancies */
   strcat(optionfilehtm,".htm");      for(i=1; i<=nlstate;i++)
   if((fichtm=fopen(optionfilehtm,"w"))==NULL)    {        for(j=1; j<=nlstate;j++)
     printf("Problem with %s \n",optionfilehtm);goto end;          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;
             
  fprintf(fichtm,"<body><ul> <font size=\"6\">Imach, Version 0.7 </font> <hr size=\"2\" color=\"#EC5E5E\">            /* 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]);*/
 Titre=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=%s<br>  
 Total number of observations=%d <br>          }
 Interval (in months) between two waves: Min=%d Max=%d Mean=%.2lf<br>  
 <hr  size=\"2\" color=\"#EC5E5E\">      fprintf(ficreseij,"%3.0f",age );
 <li>Outputs files<br><br>\n      for(i=1; i<=nlstate;i++){
         - Observed prevalence in each state: <a href=\"p%s\">p%s</a> <br>\n        eip=0;
 - 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>          eip +=eij[i][j][(int)age];
         - Transition probabilities: <a href=\"pij%s\">pij%s</a><br>          fprintf(ficreseij,"%9.4f", eij[i][j][(int)age] );
         - 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(ficreseij,"%9.4f", eip );
         - 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>      fprintf(ficreseij,"\n");
         - Standard deviation of stationary prevalences: <a href=\"vpl%s\">vpl%s</a> <br>      
         - Prevalences and population forecasting: <a href=\"f%s\">f%s</a> <br>    }
 <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);    free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
     printf("\n");
  fprintf(fichtm," <li>Graphs</li><p>");    fprintf(ficlog,"\n");
     
  m=cptcoveff;  }
  if (cptcovn < 1) {m=1;ncodemax[1]=1;}  
   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[] )
  j1=0;  
  for(k1=1; k1<=m;k1++){  {
    for(i1=1; i1<=ncodemax[k1];i1++){    /* Covariances of health expectancies eij and of total life expectancies according
        j1++;     to initial status i, ei. .
        if (cptcovn > 0) {    */
          fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");    int i, j, nhstepm, hstepm, h, nstepm, k, cptj, cptj2, i2, j2, ij, ji;
          for (cpt=1; cpt<=cptcoveff;cpt++)    int nhstepma, nstepma; /* Decreasing with age */
            fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtab[j1][cpt]]);    double age, agelim, hf;
          fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");    double ***p3matp, ***p3matm, ***varhe;
        }    double **dnewm,**doldm;
        fprintf(fichtm,"<br>- Probabilities: pe%s%d.gif<br>    double *xp, *xm;
 <img src=\"pe%s%d.gif\">",strtok(optionfile, "."),j1,strtok(optionfile, "."),j1);        double **gp, **gm;
        for(cpt=1; cpt<nlstate;cpt++){    double ***gradg, ***trgradg;
          fprintf(fichtm,"<br>- Prevalence of disability : p%s%d%d.gif<br>    int theta;
 <img src=\"p%s%d%d.gif\">",strtok(optionfile, "."),cpt,j1,strtok(optionfile, "."),cpt,j1);  
        }    double eip, vip;
     for(cpt=1; cpt<=nlstate;cpt++) {  
        fprintf(fichtm,"<br>- Observed and stationary prevalence (with confident    varhe=ma3x(1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int) fage);
 interval) in state (%d): v%s%d%d.gif <br>    xp=vector(1,npar);
 <img src=\"v%s%d%d.gif\">",cpt,strtok(optionfile, "."),cpt,j1,strtok(optionfile, "."),cpt,j1);      xm=vector(1,npar);
      }    dnewm=matrix(1,nlstate*nlstate,1,npar);
      for(cpt=1; cpt<=nlstate;cpt++) {    doldm=matrix(1,nlstate*nlstate,1,nlstate*nlstate);
         fprintf(fichtm,"\n<br>- Health life expectancies by age and initial health state (%d): exp%s%d%d.gif <br>    
 <img src=\"exp%s%d%d.gif\">",cpt,strtok(optionfile, "."),cpt,j1,strtok(optionfile, "."),cpt,j1);    pstamp(ficresstdeij);
      }    fprintf(ficresstdeij,"# Health expectancies with standard errors\n");
      fprintf(fichtm,"\n<br>- Total life expectancy by age and    fprintf(ficresstdeij,"# Age");
 health expectancies in states (1) and (2): e%s%d.gif<br>    for(i=1; i<=nlstate;i++){
 <img src=\"e%s%d.gif\">",strtok(optionfile, "."),j1,strtok(optionfile, "."),j1);      for(j=1; j<=nlstate;j++)
 fprintf(fichtm,"\n</body>");        fprintf(ficresstdeij," e%1d%1d (SE)",i,j);
    }      fprintf(ficresstdeij," e%1d. ",i);
  }    }
 fclose(fichtm);    fprintf(ficresstdeij,"\n");
   
   /*--------------- Prevalence limit --------------*/    pstamp(ficrescveij);
      fprintf(ficrescveij,"# Subdiagonal matrix of covariances of health expectancies by age: cov(eij,ekl)\n");
   strcpy(filerespl,"pl");    fprintf(ficrescveij,"# Age");
   strcat(filerespl,fileres);    for(i=1; i<=nlstate;i++)
   if((ficrespl=fopen(filerespl,"w"))==NULL) {      for(j=1; j<=nlstate;j++){
     printf("Problem with Prev limit resultfile: %s\n", filerespl);goto end;        cptj= (j-1)*nlstate+i;
   }        for(i2=1; i2<=nlstate;i2++)
   printf("Computing prevalence limit: result on file '%s' \n", filerespl);          for(j2=1; j2<=nlstate;j2++){
   fprintf(ficrespl,"#Prevalence limit\n");            cptj2= (j2-1)*nlstate+i2;
   fprintf(ficrespl,"#Age ");            if(cptj2 <= cptj)
   for(i=1; i<=nlstate;i++) fprintf(ficrespl,"%d-%d ",i,i);              fprintf(ficrescveij,"  %1d%1d,%1d%1d",i,j,i2,j2);
   fprintf(ficrespl,"\n");          }
        }
   prlim=matrix(1,nlstate,1,nlstate);    fprintf(ficrescveij,"\n");
   pmmij= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */    
   oldms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */    if(estepm < stepm){
   newms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */      printf ("Problem %d lower than %d\n",estepm, stepm);
   savms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */    }
   oldm=oldms; newm=newms; savm=savms; /* Keeps fixed addresses to free */    else  hstepm=estepm;   
   k=0;    /* We compute the life expectancy from trapezoids spaced every estepm months
   agebase=agemin;     * This is mainly to measure the difference between two models: for example
   agelim=agemax;     * if stepm=24 months pijx are given only every 2 years and by summing them
   ftolpl=1.e-10;     * we are calculating an estimate of the Life Expectancy assuming a linear 
   i1=cptcoveff;     * progression in between and thus overestimating or underestimating according
   if (cptcovn < 1){i1=1;}     * 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(cptcov=1;cptcov<=i1;cptcov++){     * to compare the new estimate of Life expectancy with the same linear 
     for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){     * hypothesis. A more precise result, taking into account a more precise
         k=k+1;     * curvature will be obtained if estepm is as small as stepm. */
         /*printf("cptcov=%d cptcod=%d codtab=%d nbcode=%d\n",cptcov, cptcod,Tcode[cptcode],codtab[cptcod][cptcov]);*/  
         fprintf(ficrespl,"\n#******");    /* For example we decided to compute the life expectancy with the smallest unit */
         for(j=1;j<=cptcoveff;j++)    /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
           fprintf(ficrespl," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);       nhstepm is the number of hstepm from age to agelim 
         fprintf(ficrespl,"******\n");       nstepm is the number of stepm from age to agelin. 
               Look at hpijx to understand the reason of that which relies in memory size
         for (age=agebase; age<=agelim; age++){       and note for a fixed period like estepm months */
           prevalim(prlim, nlstate, p, age, oldm, savm,ftolpl,k);    /* We decided (b) to get a life expectancy respecting the most precise curvature of the
           fprintf(ficrespl,"%.0f",age );       survival function given by stepm (the optimization length). Unfortunately it
           for(i=1; i<=nlstate;i++)       means that if the survival funtion is printed only each two years of age and if
           fprintf(ficrespl," %.5f", prlim[i][i]);       you sum them up and add 1 year (area under the trapezoids) you won't get the same 
           fprintf(ficrespl,"\n");       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 */ 
     }  
   fclose(ficrespl);    /* If stepm=6 months */
     /* nhstepm age range expressed in number of stepm */
   /*------------- h Pij x at various ages ------------*/    agelim=AGESUP;
      nstepm=(int) rint((agelim-bage)*YEARM/stepm); 
   strcpy(filerespij,"pij");  strcat(filerespij,fileres);    /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
   if((ficrespij=fopen(filerespij,"w"))==NULL) {    /* if (stepm >= YEARM) hstepm=1;*/
     printf("Problem with Pij resultfile: %s\n", filerespij);goto end;    nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
   }    
   printf("Computing pij: result on file '%s' \n", filerespij);    p3matp=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
      p3matm=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
   stepsize=(int) (stepm+YEARM-1)/YEARM;    gradg=ma3x(0,nhstepm,1,npar,1,nlstate*nlstate);
   /*if (stepm<=24) stepsize=2;*/    trgradg =ma3x(0,nhstepm,1,nlstate*nlstate,1,npar);
     gp=matrix(0,nhstepm,1,nlstate*nlstate);
   agelim=AGESUP;    gm=matrix(0,nhstepm,1,nlstate*nlstate);
   hstepm=stepsize*YEARM; /* Every year of age */  
   hstepm=hstepm/stepm; /* Typically 2 years, = 2/6 months = 4 */    for (age=bage; age<=fage; age ++){ 
        nstepma=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
   k=0;      /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
   for(cptcov=1;cptcov<=i1;cptcov++){      /* if (stepm >= YEARM) hstepm=1;*/
     for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){      nhstepma = nstepma/hstepm;/* Expressed in hstepm, typically nhstepma=40/4=10 */
       k=k+1;  
         fprintf(ficrespij,"\n#****** ");      /* If stepm=6 months */
         for(j=1;j<=cptcoveff;j++)      /* Computed by stepm unit matrices, product of hstepma matrices, stored
           fprintf(ficrespij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);         in an array of nhstepma length: nhstepma=10, hstepm=4, stepm=6 months */
         fprintf(ficrespij,"******\n");      
              hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
         for (agedeb=fage; agedeb>=bage; agedeb--){ /* If stepm=6 months */  
           nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */      /* Computing  Variances of health expectancies */
           nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */      /* Gradient is computed with plus gp and minus gm. Code is duplicated in order to
           p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);         decrease memory allocation */
           oldm=oldms;savm=savms;      for(theta=1; theta <=npar; theta++){
           hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);          for(i=1; i<=npar; i++){ 
           fprintf(ficrespij,"# Age");          xp[i] = x[i] + (i==theta ?delti[theta]:0);
           for(i=1; i<=nlstate;i++)          xm[i] = x[i] - (i==theta ?delti[theta]:0);
             for(j=1; j<=nlstate+ndeath;j++)        }
               fprintf(ficrespij," %1d-%1d",i,j);        hpxij(p3matp,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, cij);  
           fprintf(ficrespij,"\n");        hpxij(p3matm,nhstepm,age,hstepm,xm,nlstate,stepm,oldm,savm, cij);  
           for (h=0; h<=nhstepm; h++){    
             fprintf(ficrespij,"%d %.0f %.0f",k,agedeb, agedeb+ h*hstepm/YEARM*stepm );        for(j=1; j<= nlstate; j++){
             for(i=1; i<=nlstate;i++)          for(i=1; i<=nlstate; i++){
               for(j=1; j<=nlstate+ndeath;j++)            for(h=0; h<=nhstepm-1; h++){
                 fprintf(ficrespij," %.5f", p3mat[i][j][h]);              gp[h][(j-1)*nlstate + i] = (p3matp[i][j][h]+p3matp[i][j][h+1])/2.;
             fprintf(ficrespij,"\n");              gm[h][(j-1)*nlstate + i] = (p3matm[i][j][h]+p3matm[i][j][h+1])/2.;
           }            }
           free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);          }
           fprintf(ficrespij,"\n");        }
         }       
     }        for(ij=1; ij<= nlstate*nlstate; ij++)
   }          for(h=0; h<=nhstepm-1; h++){
             gradg[h][theta][ij]= (gp[h][ij]-gm[h][ij])/2./delti[theta];
   /* varprob(fileres, matcov, p, delti, nlstate, (int) bage, (int) fage,k);*/          }
       }/* End theta */
   fclose(ficrespij);      
       
   /*---------- Forecasting ------------------*/      for(h=0; h<=nhstepm-1; h++)
   calagedate=(anproj1+mproj1/12.+jproj1/365.-dateintmean)*YEARM;        for(j=1; j<=nlstate*nlstate;j++)
           for(theta=1; theta <=npar; theta++)
   prevalence(agemin, agemax, s, agev, nlstate, imx,Tvar,nbcode, ncodemax,mint,anint,dateprev1,dateprev2, calagedate);            trgradg[h][j][theta]=gradg[h][theta][j];
       
   
   strcpy(fileresf,"f");       for(ij=1;ij<=nlstate*nlstate;ij++)
   strcat(fileresf,fileres);        for(ji=1;ji<=nlstate*nlstate;ji++)
   if((ficresf=fopen(fileresf,"w"))==NULL) {          varhe[ij][ji][(int)age] =0.;
     printf("Problem with forecast resultfile: %s\n", fileresf);goto end;  
   }       printf("%d|",(int)age);fflush(stdout);
   printf("Computing forecasting: result on file '%s' \n", fileresf);       fprintf(ficlog,"%d|",(int)age);fflush(ficlog);
        for(h=0;h<=nhstepm-1;h++){
   free_matrix(mint,1,maxwav,1,n);        for(k=0;k<=nhstepm-1;k++){
   free_matrix(anint,1,maxwav,1,n);          matprod2(dnewm,trgradg[h],1,nlstate*nlstate,1,npar,1,npar,matcov);
   free_matrix(agev,1,maxwav,1,imx);          matprod2(doldm,dnewm,1,nlstate*nlstate,1,npar,1,nlstate*nlstate,gradg[k]);
   /* Mobile average */          for(ij=1;ij<=nlstate*nlstate;ij++)
             for(ji=1;ji<=nlstate*nlstate;ji++)
   if (cptcoveff==0) ncodemax[cptcoveff]=1;              varhe[ij][ji][(int)age] += doldm[ij][ji]*hf*hf;
         }
   if (mobilav==1) {      }
     mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);  
     for (agedeb=bage+3; agedeb<=fage-2; agedeb++)      /* Computing expectancies */
       for (i=1; i<=nlstate;i++)      hpxij(p3matm,nhstepm,age,hstepm,x,nlstate,stepm,oldm, savm, cij);  
         for (cptcod=1;cptcod<=ncodemax[cptcov];cptcod++)      for(i=1; i<=nlstate;i++)
           mobaverage[(int)agedeb][i][cptcod]=0.;        for(j=1; j<=nlstate;j++)
              for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){
     for (agedeb=bage+4; agedeb<=fage; agedeb++){            eij[i][j][(int)age] += (p3matm[i][j][h]+p3matm[i][j][h+1])/2.0*hf;
       for (i=1; i<=nlstate;i++){            
         for (cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){            /* 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]);*/
           for (cpt=0;cpt<=4;cpt++){  
             mobaverage[(int)agedeb-2][i][cptcod]=mobaverage[(int)agedeb-2][i][cptcod]+probs[(int)agedeb-cpt][i][cptcod];          }
           }  
           mobaverage[(int)agedeb-2][i][cptcod]=mobaverage[(int)agedeb-2][i][cptcod]/5;      fprintf(ficresstdeij,"%3.0f",age );
         }      for(i=1; i<=nlstate;i++){
       }        eip=0.;
     }          vip=0.;
   }        for(j=1; j<=nlstate;j++){
           eip += eij[i][j][(int)age];
   stepsize=(int) (stepm+YEARM-1)/YEARM;          for(k=1; k<=nlstate;k++) /* Sum on j and k of cov(eij,eik) */
   if (stepm<=12) stepsize=1;            vip += varhe[(j-1)*nlstate+i][(k-1)*nlstate+i][(int)age];
           fprintf(ficresstdeij," %9.4f (%.4f)", eij[i][j][(int)age], sqrt(varhe[(j-1)*nlstate+i][(j-1)*nlstate+i][(int)age]) );
   agelim=AGESUP;        }
   /*hstepm=stepsize*YEARM; *//* Every year of age */        fprintf(ficresstdeij," %9.4f (%.4f)", eip, sqrt(vip));
   hstepm=1;      }
   hstepm=hstepm/stepm; /* Typically 2 years, = 2 years/6 months = 4 */      fprintf(ficresstdeij,"\n");
   yp1=modf(dateintmean,&yp);  
   anprojmean=yp;      fprintf(ficrescveij,"%3.0f",age );
   yp2=modf((yp1*12),&yp);      for(i=1; i<=nlstate;i++)
   mprojmean=yp;        for(j=1; j<=nlstate;j++){
   yp1=modf((yp2*30.5),&yp);          cptj= (j-1)*nlstate+i;
   jprojmean=yp;          for(i2=1; i2<=nlstate;i2++)
   if(jprojmean==0) jprojmean=1;            for(j2=1; j2<=nlstate;j2++){
   if(mprojmean==0) jprojmean=1;              cptj2= (j2-1)*nlstate+i2;
               if(cptj2 <= cptj)
   fprintf(ficresf,"# Estimated date of observed prevalence: %.lf/%.lf/%.lf ",jprojmean,mprojmean,anprojmean);                fprintf(ficrescveij," %.4f", varhe[cptj][cptj2][(int)age]);
             }
   if (popforecast==1) {        }
     if((ficpop=fopen(popfile,"r"))==NULL)    {      fprintf(ficrescveij,"\n");
       printf("Problem with population file : %s\n",popfile);goto end;     
     }    }
     popage=ivector(0,AGESUP);    free_matrix(gm,0,nhstepm,1,nlstate*nlstate);
     popeffectif=vector(0,AGESUP);    free_matrix(gp,0,nhstepm,1,nlstate*nlstate);
     popcount=vector(0,AGESUP);    free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate*nlstate);
     free_ma3x(trgradg,0,nhstepm,1,nlstate*nlstate,1,npar);
     i=1;      free_ma3x(p3matm,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
     while ((c=fscanf(ficpop,"%d %lf\n",&popage[i],&popcount[i])) != EOF)    free_ma3x(p3matp,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
       {    printf("\n");
         i=i+1;    fprintf(ficlog,"\n");
       }  
     imx=i;    free_vector(xm,1,npar);
        free_vector(xp,1,npar);
     for (i=1; i<imx;i++) popeffectif[popage[i]]=popcount[i];    free_matrix(dnewm,1,nlstate*nlstate,1,npar);
   }    free_matrix(doldm,1,nlstate*nlstate,1,nlstate*nlstate);
     free_ma3x(varhe,1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int)fage);
   for(cptcov=1;cptcov<=i1;cptcov++){  }
     for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){  
       k=k+1;  /************ Variance ******************/
       fprintf(ficresf,"\n#******");  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[])
       for(j=1;j<=cptcoveff;j++) {  {
         fprintf(ficresf," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);    /* Variance of health expectancies */
       }    /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);*/
       fprintf(ficresf,"******\n");    /* double **newm;*/
       fprintf(ficresf,"# StartingAge FinalAge");    double **dnewm,**doldm;
       for(j=1; j<=nlstate+ndeath;j++) fprintf(ficresf," P.%d",j);    double **dnewmp,**doldmp;
       if (popforecast==1)  fprintf(ficresf," [Population]");    int i, j, nhstepm, hstepm, h, nstepm ;
      int k, cptcode;
       for (cpt=0; cpt<=5;cpt++) {    double *xp;
         fprintf(ficresf,"\n");    double **gp, **gm;  /* for var eij */
   fprintf(ficresf,"\n# Forecasting at date %.lf/%.lf/%.lf ",jproj1,mproj1,anproj1+cpt);      double ***gradg, ***trgradg; /*for var eij */
       for (agedeb=(fage-((int)calagedate %12/12.)); agedeb>=(bage-((int)calagedate %12)/12.); agedeb--){ /* If stepm=6 months */    double **gradgp, **trgradgp; /* for var p point j */
         nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm);    double *gpp, *gmp; /* for var p point j */
         nhstepm = nhstepm/hstepm;    double **varppt; /* for var p point j nlstate to nlstate+ndeath */
         /*printf("agedeb=%.lf stepm=%d hstepm=%d nhstepm=%d \n",agedeb,stepm,hstepm,nhstepm);*/    double ***p3mat;
     double age,agelim, hf;
         p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);    double ***mobaverage;
         oldm=oldms;savm=savms;    int theta;
         hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);      char digit[4];
                    char digitp[25];
         for (h=0; h<=nhstepm; h++){  
           if (h==(int) (calagedate+YEARM*cpt)) {    char fileresprobmorprev[FILENAMELENGTH];
             fprintf(ficresf,"\n %.f ",agedeb+h*hstepm/YEARM*stepm);  
           }    if(popbased==1){
           for(j=1; j<=nlstate+ndeath;j++) {      if(mobilav!=0)
             kk1=0.;kk2=0;        strcpy(digitp,"-populbased-mobilav-");
             for(i=1; i<=nlstate;i++) {              else strcpy(digitp,"-populbased-nomobil-");
               if (mobilav==1)    }
                 kk1=kk1+p3mat[i][j][h]*mobaverage[(int)agedeb+1][i][cptcod];    else 
               else {      strcpy(digitp,"-stablbased-");
                 kk1=kk1+p3mat[i][j][h]*probs[(int)(agedeb+1)][i][cptcod];  
                 /* fprintf(ficresf," p3=%.3f p=%.3f ", p3mat[i][j][h], probs[(int)(agedeb)+1][i][cptcod]);*/    if (mobilav!=0) {
               }      mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
       if (movingaverage(probs, bage, fage, mobaverage,mobilav)!=0){
               if (popforecast==1) kk2=kk1*popeffectif[(int)agedeb];        fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
             }        printf(" Error in movingaverage mobilav=%d\n",mobilav);
                }
             if (h==(int)(calagedate+12*cpt)){    }
               fprintf(ficresf," %.3f", kk1);  
                  strcpy(fileresprobmorprev,"prmorprev"); 
               if (popforecast==1) fprintf(ficresf," [%.f]", kk2);    sprintf(digit,"%-d",ij);
             }    /*printf("DIGIT=%s, ij=%d ijr=%-d|\n",digit, ij,ij);*/
           }    strcat(fileresprobmorprev,digit); /* Tvar to be done */
         }    strcat(fileresprobmorprev,digitp); /* Popbased or not, mobilav or not */
         free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);    strcat(fileresprobmorprev,fileres);
       }    if((ficresprobmorprev=fopen(fileresprobmorprev,"w"))==NULL) {
       }      printf("Problem with resultfile: %s\n", fileresprobmorprev);
     }      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobmorprev);
   }    }
   if (mobilav==1) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);    printf("Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
   if (popforecast==1) {   
     free_ivector(popage,0,AGESUP);    fprintf(ficlog,"Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
     free_vector(popeffectif,0,AGESUP);    pstamp(ficresprobmorprev);
     free_vector(popcount,0,AGESUP);    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);
   free_imatrix(s,1,maxwav+1,1,n);    for(j=nlstate+1; j<=(nlstate+ndeath);j++){
   free_vector(weight,1,n);      fprintf(ficresprobmorprev," p.%-d SE",j);
   fclose(ficresf);      for(i=1; i<=nlstate;i++)
   /*---------- Health expectancies and variances ------------*/        fprintf(ficresprobmorprev," w%1d p%-d%-d",i,i,j);
     }  
   strcpy(filerest,"t");    fprintf(ficresprobmorprev,"\n");
   strcat(filerest,fileres);    fprintf(ficgp,"\n# Routine varevsij");
   if((ficrest=fopen(filerest,"w"))==NULL) {    /* fprintf(fichtm, "#Local time at start: %s", strstart);*/
     printf("Problem with total LE resultfile: %s\n", filerest);goto end;    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);
   printf("Computing Total LEs with variances: file '%s' \n", filerest);  /*   } */
     varppt = matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
     pstamp(ficresvij);
   strcpy(filerese,"e");    fprintf(ficresvij,"# Variance and covariance of health expectancies e.j \n#  (weighted average of eij where weights are ");
   strcat(filerese,fileres);    if(popbased==1)
   if((ficreseij=fopen(filerese,"w"))==NULL) {      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);
     printf("Problem with Health Exp. resultfile: %s\n", filerese); exit(0);    else
   }      fprintf(ficresvij,"the age specific period (stable) prevalences in each health state \n");
   printf("Computing Health Expectancies: result on file '%s' \n", filerese);    fprintf(ficresvij,"# Age");
     for(i=1; i<=nlstate;i++)
  strcpy(fileresv,"v");      for(j=1; j<=nlstate;j++)
   strcat(fileresv,fileres);        fprintf(ficresvij," Cov(e.%1d, e.%1d)",i,j);
   if((ficresvij=fopen(fileresv,"w"))==NULL) {    fprintf(ficresvij,"\n");
     printf("Problem with variance resultfile: %s\n", fileresv);exit(0);  
   }    xp=vector(1,npar);
   printf("Computing Variance-covariance of DFLEs: file '%s' \n", fileresv);    dnewm=matrix(1,nlstate,1,npar);
     doldm=matrix(1,nlstate,1,nlstate);
   k=0;    dnewmp= matrix(nlstate+1,nlstate+ndeath,1,npar);
   for(cptcov=1;cptcov<=i1;cptcov++){    doldmp= matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
     for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){  
       k=k+1;    gradgp=matrix(1,npar,nlstate+1,nlstate+ndeath);
       fprintf(ficrest,"\n#****** ");    gpp=vector(nlstate+1,nlstate+ndeath);
       for(j=1;j<=cptcoveff;j++)    gmp=vector(nlstate+1,nlstate+ndeath);
         fprintf(ficrest,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);    trgradgp =matrix(nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
       fprintf(ficrest,"******\n");    
     if(estepm < stepm){
       fprintf(ficreseij,"\n#****** ");      printf ("Problem %d lower than %d\n",estepm, stepm);
       for(j=1;j<=cptcoveff;j++)    }
         fprintf(ficreseij,"V%d=%d ",j,nbcode[j][codtab[k][j]]);    else  hstepm=estepm;   
       fprintf(ficreseij,"******\n");    /* For example we decided to compute the life expectancy with the smallest unit */
     /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
       fprintf(ficresvij,"\n#****** ");       nhstepm is the number of hstepm from age to agelim 
       for(j=1;j<=cptcoveff;j++)       nstepm is the number of stepm from age to agelin. 
         fprintf(ficresvij,"V%d=%d ",j,nbcode[j][codtab[k][j]]);       Look at function hpijx to understand why (it is linked to memory size questions) */
       fprintf(ficresvij,"******\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
       eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);       means that if the survival funtion is printed every two years of age and if
       oldm=oldms;savm=savms;       you sum them up and add 1 year (area under the trapezoids) you won't get the same 
       evsij(fileres, eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k);         results. So we changed our mind and took the option of the best precision.
       vareij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);    */
       oldm=oldms;savm=savms;    hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
       varevsij(fileres, vareij, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k);    agelim = AGESUP;
          for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
       fprintf(ficrest,"#Total LEs with variances: e.. (std) ");      nstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
       for (i=1;i<=nlstate;i++) fprintf(ficrest,"e.%d (std) ",i);      nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
       fprintf(ficrest,"\n");      p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
              gradg=ma3x(0,nhstepm,1,npar,1,nlstate);
       hf=1;      gp=matrix(0,nhstepm,1,nlstate);
       if (stepm >= YEARM) hf=stepm/YEARM;      gm=matrix(0,nhstepm,1,nlstate);
       epj=vector(1,nlstate+1);  
       for(age=bage; age <=fage ;age++){  
         prevalim(prlim, nlstate, p, age, oldm, savm,ftolpl,k);      for(theta=1; theta <=npar; theta++){
         if (popbased==1) {        for(i=1; i<=npar; i++){ /* Computes gradient x + delta*/
           for(i=1; i<=nlstate;i++)          xp[i] = x[i] + (i==theta ?delti[theta]:0);
             prlim[i][i]=probs[(int)age][i][k];        }
         }        hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);  
                prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);
         fprintf(ficrest," %.0f",age);  
         for(j=1, epj[nlstate+1]=0.;j <=nlstate;j++){        if (popbased==1) {
           for(i=1, epj[j]=0.;i <=nlstate;i++) {          if(mobilav ==0){
             epj[j] += prlim[i][i]*hf*eij[i][j][(int)age];            for(i=1; i<=nlstate;i++)
           }              prlim[i][i]=probs[(int)age][i][ij];
           epj[nlstate+1] +=epj[j];          }else{ /* mobilav */ 
         }            for(i=1; i<=nlstate;i++)
         for(i=1, vepp=0.;i <=nlstate;i++)              prlim[i][i]=mobaverage[(int)age][i][ij];
           for(j=1;j <=nlstate;j++)          }
             vepp += vareij[i][j][(int)age];        }
         fprintf(ficrest," %.2f (%.2f)", epj[nlstate+1],hf*sqrt(vepp));    
         for(j=1;j <=nlstate;j++){        for(j=1; j<= nlstate; j++){
           fprintf(ficrest," %.2f (%.2f)", epj[j],hf*sqrt(vareij[j][j][(int)age]));          for(h=0; h<=nhstepm; h++){
         }            for(i=1, gp[h][j]=0.;i<=nlstate;i++)
         fprintf(ficrest,"\n");              gp[h][j] += prlim[i][i]*p3mat[i][j][h];
       }          }
     }        }
   }        /* This for computing probability of death (h=1 means
                   computed over hstepm matrices product = hstepm*stepm months) 
                   as a weighted average of prlim.
         */
         for(j=nlstate+1;j<=nlstate+ndeath;j++){
  fclose(ficreseij);          for(i=1,gpp[j]=0.; i<= nlstate; i++)
  fclose(ficresvij);            gpp[j] += prlim[i][i]*p3mat[i][j][1];
   fclose(ficrest);        }    
   fclose(ficpar);        /* end probability of death */
   free_vector(epj,1,nlstate+1);  
   /*  scanf("%d ",i); */        for(i=1; i<=npar; i++) /* Computes gradient x - delta */
           xp[i] = x[i] - (i==theta ?delti[theta]:0);
   /*------- Variance limit prevalence------*/          hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);  
         prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);
 strcpy(fileresvpl,"vpl");   
   strcat(fileresvpl,fileres);        if (popbased==1) {
   if((ficresvpl=fopen(fileresvpl,"w"))==NULL) {          if(mobilav ==0){
     printf("Problem with variance prev lim resultfile: %s\n", fileresvpl);            for(i=1; i<=nlstate;i++)
     exit(0);              prlim[i][i]=probs[(int)age][i][ij];
   }          }else{ /* mobilav */ 
   printf("Computing Variance-covariance of Prevalence limit: file '%s' \n", fileresvpl);            for(i=1; i<=nlstate;i++)
               prlim[i][i]=mobaverage[(int)age][i][ij];
  k=0;          }
  for(cptcov=1;cptcov<=i1;cptcov++){        }
    for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){  
      k=k+1;        for(j=1; j<= nlstate; j++){  /* Sum of wi * eij = e.j */
      fprintf(ficresvpl,"\n#****** ");          for(h=0; h<=nhstepm; h++){
      for(j=1;j<=cptcoveff;j++)            for(i=1, gm[h][j]=0.;i<=nlstate;i++)
        fprintf(ficresvpl,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);              gm[h][j] += prlim[i][i]*p3mat[i][j][h];
      fprintf(ficresvpl,"******\n");          }
              }
      varpl=matrix(1,nlstate,(int) bage, (int) fage);        /* This for computing probability of death (h=1 means
      oldm=oldms;savm=savms;           computed over hstepm matrices product = hstepm*stepm months) 
      varprevlim(fileres, varpl, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k);           as a weighted average of prlim.
    }        */
  }        for(j=nlstate+1;j<=nlstate+ndeath;j++){
           for(i=1,gmp[j]=0.; i<= nlstate; i++)
   fclose(ficresvpl);           gmp[j] += prlim[i][i]*p3mat[i][j][1];
         }    
   /*---------- End : free ----------------*/        /* end probability of death */
   free_matrix(varpl,1,nlstate,(int) bage, (int)fage);  
          for(j=1; j<= nlstate; j++) /* vareij */
   free_ma3x(vareij,1,nlstate,1,nlstate,(int) bage, (int)fage);          for(h=0; h<=nhstepm; h++){
   free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);            gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta];
            }
    
   free_matrix(pmmij,1,nlstate+ndeath,1,nlstate+ndeath);        for(j=nlstate+1; j<= nlstate+ndeath; j++){ /* var mu */
   free_matrix(oldms, 1,nlstate+ndeath,1,nlstate+ndeath);          gradgp[theta][j]= (gpp[j]-gmp[j])/2./delti[theta];
   free_matrix(newms, 1,nlstate+ndeath,1,nlstate+ndeath);        }
   free_matrix(savms, 1,nlstate+ndeath,1,nlstate+ndeath);  
        } /* End theta */
   free_matrix(matcov,1,npar,1,npar);  
   free_vector(delti,1,npar);      trgradg =ma3x(0,nhstepm,1,nlstate,1,npar); /* veij */
    
   free_ma3x(param,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel);      for(h=0; h<=nhstepm; h++) /* veij */
         for(j=1; j<=nlstate;j++)
   printf("End of Imach\n");          for(theta=1; theta <=npar; theta++)
   /*  gettimeofday(&end_time, (struct timezone*)0);*/  /* after time */            trgradg[h][j][theta]=gradg[h][theta][j];
    
   /* 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);*/      for(j=nlstate+1; j<=nlstate+ndeath;j++) /* mu */
   /*printf("Total time was %d uSec.\n", total_usecs);*/        for(theta=1; theta <=npar; theta++)
   /*------ End -----------*/          trgradgp[j][theta]=gradgp[theta][j];
     
   
  end:      hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
 #ifdef windows      for(i=1;i<=nlstate;i++)
  chdir(pathcd);        for(j=1;j<=nlstate;j++)
 #endif          vareij[i][j][(int)age] =0.;
    
  system("..\\gp37mgw\\wgnuplot graph.plt");      for(h=0;h<=nhstepm;h++){
         for(k=0;k<=nhstepm;k++){
 #ifdef windows          matprod2(dnewm,trgradg[h],1,nlstate,1,npar,1,npar,matcov);
   while (z[0] != 'q') {          matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg[k]);
     chdir(pathcd);          for(i=1;i<=nlstate;i++)
     printf("\nType e to edit output files, c to start again, and q for exiting: ");            for(j=1;j<=nlstate;j++)
     scanf("%s",z);              vareij[i][j][(int)age] += doldm[i][j]*hf*hf;
     if (z[0] == 'c') system("./imach");        }
     else if (z[0] == 'e') {      }
       chdir(path);    
       system(optionfilehtm);      /* pptj */
     }      matprod2(dnewmp,trgradgp,nlstate+1,nlstate+ndeath,1,npar,1,npar,matcov);
     else if (z[0] == 'q') exit(0);      matprod2(doldmp,dnewmp,nlstate+1,nlstate+ndeath,1,npar,nlstate+1,nlstate+ndeath,gradgp);
   }      for(j=nlstate+1;j<=nlstate+ndeath;j++)
 #endif        for(i=nlstate+1;i<=nlstate+ndeath;i++)
 }          varppt[j][i]=doldmp[j][i];
       /* end ppptj */
       /*  x centered again */
       hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm,savm, ij);  
       prevalim(prlim,nlstate,x,age,oldm,savm,ftolpl,ij);
    
       if (popbased==1) {
         if(mobilav ==0){
           for(i=1; i<=nlstate;i++)
             prlim[i][i]=probs[(int)age][i][ij];
         }else{ /* mobilav */ 
           for(i=1; i<=nlstate;i++)
             prlim[i][i]=mobaverage[(int)age][i][ij];
         }
       }
                
       /* This for computing probability of death (h=1 means
          computed over hstepm (estepm) matrices product = hstepm*stepm months) 
          as a weighted average of prlim.
       */
       for(j=nlstate+1;j<=nlstate+ndeath;j++){
         for(i=1,gmp[j]=0.;i<= nlstate; i++) 
           gmp[j] += prlim[i][i]*p3mat[i][j][1]; 
       }    
       /* end probability of death */
   
       fprintf(ficresprobmorprev,"%3d %d ",(int) age, ij);
       for(j=nlstate+1; j<=(nlstate+ndeath);j++){
         fprintf(ficresprobmorprev," %11.3e %11.3e",gmp[j], sqrt(varppt[j][j]));
         for(i=1; i<=nlstate;i++){
           fprintf(ficresprobmorprev," %11.3e %11.3e ",prlim[i][i],p3mat[i][j][1]);
         }
       } 
       fprintf(ficresprobmorprev,"\n");
   
       fprintf(ficresvij,"%.0f ",age );
       for(i=1; i<=nlstate;i++)
         for(j=1; j<=nlstate;j++){
           fprintf(ficresvij," %.4f", vareij[i][j][(int)age]);
         }
       fprintf(ficresvij,"\n");
       free_matrix(gp,0,nhstepm,1,nlstate);
       free_matrix(gm,0,nhstepm,1,nlstate);
       free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate);
       free_ma3x(trgradg,0,nhstepm,1,nlstate,1,npar);
       free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
     } /* End age */
     free_vector(gpp,nlstate+1,nlstate+ndeath);
     free_vector(gmp,nlstate+1,nlstate+ndeath);
     free_matrix(gradgp,1,npar,nlstate+1,nlstate+ndeath);
     free_matrix(trgradgp,nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
     fprintf(ficgp,"\nunset parametric;unset label; set ter png small;set size 0.65, 0.65");
     /* for(j=nlstate+1; j<= nlstate+ndeath; j++){ *//* Only the first actually */
     fprintf(ficgp,"\n set log y; 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); */
   /*   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)*%6.3f) t \"95\%% interval\" w l 2 ",fileresprobmorprev,YEARM/estepm); */
   /*   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)*%6.3f) not w l 2 ",fileresprobmorprev,YEARM/estepm); */
     fprintf(ficgp,"\n plot \"%s\"  u 1:($3) not w l 1 ",subdirf(fileresprobmorprev));
     fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)) t \"95\%% interval\" w l 2 ",subdirf(fileresprobmorprev));
     fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)) not w l 2 ",subdirf(fileresprobmorprev));
     fprintf(fichtm,"\n<br> File (multiple files are possible if covariates are present): <A href=\"%s\">%s</a>\n",subdirf(fileresprobmorprev),subdirf(fileresprobmorprev));
     fprintf(fichtm,"\n<br> Probability is computed over estepm=%d months. <br> <img src=\"%s%s.png\"> <br>\n", estepm,subdirf3(optionfilefiname,"varmuptjgr",digitp),digit);
     /*  fprintf(fichtm,"\n<br> Probability is computed over estepm=%d months and then divided by estepm and multiplied by %.0f in order to have the probability to die over a year <br> <img src=\"varmuptjgr%s%s.png\"> <br>\n", stepm,YEARM,digitp,digit);
   */
   /*   fprintf(ficgp,"\nset out \"varmuptjgr%s%s%s.png\";replot;",digitp,optionfilefiname,digit); */
     fprintf(ficgp,"\nset out \"%s%s.png\";replot;\n",subdirf3(optionfilefiname,"varmuptjgr",digitp),digit);
   
     free_vector(xp,1,npar);
     free_matrix(doldm,1,nlstate,1,nlstate);
     free_matrix(dnewm,1,nlstate,1,npar);
     free_matrix(doldmp,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
     free_matrix(dnewmp,nlstate+1,nlstate+ndeath,1,npar);
     free_matrix(varppt,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
     if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
     fclose(ficresprobmorprev);
     fflush(ficgp);
     fflush(fichtm); 
   }  /* end varevsij */
   
   /************ Variance of prevlim ******************/
   void varprevlim(char fileres[], double **varpl, double **matcov, double x[], double delti[], int nlstate, int stepm, double bage, double fage, double **oldm, double **savm, double **prlim, double ftolpl, int ij, char strstart[])
   {
     /* Variance of prevalence limit */
     /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double **savm,double ftolpl);*/
     double **newm;
     double **dnewm,**doldm;
     int i, j, nhstepm, hstepm;
     int k, cptcode;
     double *xp;
     double *gp, *gm;
     double **gradg, **trgradg;
     double age,agelim;
     int theta;
     
     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 (strstr(model,"AGE") !=0){
         printf("Error. AGE must be in lower case 'age' model=%s ",model);
         fprintf(ficlog,"Error. AGE must be in lower case 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=V2+V1+V4+age*V3 strb=age*V3 stra=V2+V1+V4  */
       /*  k=4 (age*V3) Tvar[k=4]= 3 (from V3) Tage[cptcovage=1]=4 */
       /*  k=3 V4 Tvar[k=3]= 4 (from V4) */
       /*  k=2 V1 Tvar[k=2]= 1 (from V1) */
       /*  k=1 Tvar[1]=2 (from V2) */
       /*  k=5 Tvar[5] */
       /* for (k=1; k<=cptcovn;k++) { */
       /*  cov[2+k]=nbcode[Tvar[k]][codtab[ij][Tvar[k]]]; */
       /*  } */
       /* for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
       for(k=cptcovn; k>=1;k--){
         cutv(stra,strb,modelsav,'+'); /* keeps in strb after the first '+' 
                                        modelsav==V2+V1+V4+V3*age 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 V2+V1+V4+V3*age 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);  /* V2+V1+V4+V3*age Tvar[4]=2 ; V1+V2*age Tvar[2]=2 */
             cptcovage++; /* Sums the number of covariates which include age as a product */
             Tage[cptcovage]=k;  /* Tage[1] = 4 */
             /*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 product V2+V1+V1*V4+V3*age+V3*V2  strb=V3*V2*/
             /* loops on k1=1 (V3*V2) and k1=2 V4*V3 */
             cutv(strb,stre,strc,'V'); /* strc= Vn, stre is n; strb=V3*V2 stre=3 strc=*/
             Tvar[k]=ncovcol+k1;  /* For model-covariate k tells which data-covariate to use but
                                     because this model-covariate is a construction we invent a new column
                                     ncovcol + k1
                                     If already ncovcol=4 and model=V2+V1+V1*V4+age*V3+V3*V2
                                     Tvar[3=V1*V4]=4+1 Tvar[5=V3*V2]=4 + 2= 6, etc */
             cutv(strb,strc,strd,'V'); /* strd was Vm, strc is m */
             Tprod[k1]=k;  /* Tprod[1]=3(=V1*V4) for V2+V1+V1*V4+age*V3+V3*V2  */
             Tvard[k1][1]=atoi(strc); /* m 1 for V1*/
             Tvard[k1][2]=atoi(stre); /* n 4 for V4*/
             Tvar[cptcovn+k2]=Tvard[k1][1]; /* Tvar[(cptcovn=4+k2=1)=5]= 1 (V1) */
             Tvar[cptcovn+k2+1]=Tvard[k1][2];  /* Tvar[(cptcovn=4+(k2=1)+1)=6]= 4 (V4) */
             for (i=1; i<=lastobs;i++){
               /* Computes the new covariate which is a product of
                  covar[n][i]* covar[m][i] and stores it at ncovol+k1 */
               covar[ncovcol+k1][i]=covar[atoi(stre)][i]*covar[atoi(strc)][i];
             }
             k1++;
             k2=k2+2;
           } /* End age is not in the model */
         } /* End if model includes a product */
         else { /* no more sum */
           /*printf("d=%s c=%s b=%s\n", strd,strc,strb);*/
          /*  scanf("%d",i);*/
           cutv(strd,strc,strb,'V');
           Tvar[k]=atoi(strc);
         }
         strcpy(modelsav,stra);  /* modelsav=V2+V1+V4 stra=V2+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); /* with covar[new additional covariate if product] and Tage if age */ 
     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); /* hard coded ? */
   
     /* Reads data from file datafile */
     if (readdata(datafile, firstobs, lastobs, &imx)==1)
       goto end;
   
     /* Calculation of the number of parameters from char model */
       /*    modelsav=V2+V1+V4+age*V3 strb=age*V3 stra=V2+V1+V4 
           k=4 (age*V3) Tvar[k=4]= 3 (from V3) Tag[cptcovage=1]=4
           k=3 V4 Tvar[k=3]= 4 (from V4)
           k=2 V1 Tvar[k=2]= 1 (from V1)
           k=1 Tvar[1]=2 (from V2)
       */
     Tvar=ivector(1,NCOVMAX); /* Was 15 changed to NCOVMAX. */
     /*  V2+V1+V4+age*V3 is a model with 4 covariates (3 plus signs). 
         For each model-covariate stores the data-covariate id. Tvar[1]=2, Tvar[2]=1, Tvar[3]=4, 
         Tvar[4=age*V3] is 3 and 'age' is recorded in Tage.
     */
     /* For model-covariate k tells which data-covariate to use but
       because this model-covariate is a construction we invent a new column
       ncovcol + k1
       If already ncovcol=4 and model=V2+V1+V1*V4+age*V3
       Tvar[3=V1*V4]=4+1 etc */
     Tprod=ivector(1,15); 
     /* Tprod[k1=1]=3(=V1*V4) for V2+V1+V1*V4+age*V3
        if  V2+V1+V1*V4+age*V3+V3*V2   TProd[k1=2]=5 (V3*V2)
     */
     Tvaraff=ivector(1,15); 
     Tvard=imatrix(1,15,1,2); /* For V3*V2 Tvard[k1=2][1]=3 (V3) Tvard[k1=2][2]=2(V2) */
     Tage=ivector(1,15); /* Gives the covariate id of covariates associated with age: V2 + V1 + age*V4 + V3*age
                            4 covariates (3 plus signs)
                            Tage[1=V3*age]= 4; Tage[2=age*V4] = 3
                         */  
   
     if(decodemodel(model, lastobs) == 1)
       goto end;
   
     if((double)(lastobs-imx)/(double)imx > 1.10){
       nbwarn++;
       printf("Warning: The value of parameter lastobs=%d is big compared to the \n  effective number of cases imx=%d, please adjust, \n  otherwise you are allocating more memory than necessary.\n",lastobs, imx); 
       fprintf(ficlog,"Warning: The value of parameter lastobs=%d is big compared to the \n  effective number of cases imx=%d, please adjust, \n  otherwise you are allocating more memory than necessary.\n",lastobs, imx); 
     }
       /*  if(mle==1){*/
     if (weightopt != 1) { /* Maximisation without weights. We can have weights different from 1 but want no weight*/
       for(i=1;i<=imx;i++) weight[i]=1.0; /* changed to imx */
     }
   
       /*-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.1.20  
changed lines
  Added in v.1.137


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