Diff for /imach/src/imach.c between versions 1.23 and 1.177

version 1.23, 2002/02/22 18:08:30 version 1.177, 2015/01/03 18:40:56
Line 1 Line 1
 /* $Id$  /* $Id$
    Interpolate Markov Chain    $State$
     $Log$
   Short summary of the programme:    Revision 1.177  2015/01/03 18:40:56  brouard
      Summary: Still testing ilc32 on OSX
   This program computes Healthy Life Expectancies from  
   cross-longitudinal data. Cross-longitudinal data consist in: -1- a    Revision 1.176  2015/01/03 16:45:04  brouard
   first survey ("cross") where individuals from different ages are    *** empty log message ***
   interviewed on their health status or degree of disability (in the  
   case of a health survey which is our main interest) -2- at least a    Revision 1.175  2015/01/03 16:33:42  brouard
   second wave of interviews ("longitudinal") which measure each change    *** empty log message ***
   (if any) in individual health status.  Health expectancies are  
   computed from the time spent in each health state according to a    Revision 1.174  2015/01/03 16:15:49  brouard
   model. More health states you consider, more time is necessary to reach the    Summary: Still in cross-compilation
   Maximum Likelihood of the parameters involved in the model.  The  
   simplest model is the multinomial logistic model where pij is the    Revision 1.173  2015/01/03 12:06:26  brouard
   probabibility to be observed in state j at the second wave    Summary: trying to detect cross-compilation
   conditional to be observed in state i at the first wave. Therefore  
   the model is: log(pij/pii)= aij + bij*age+ cij*sex + etc , where    Revision 1.172  2014/12/27 12:07:47  brouard
   'age' is age and 'sex' is a covariate. If you want to have a more    Summary: Back from Visual Studio and Intel, options for compiling for Windows XP
   complex model than "constant and age", you should modify the program  
   where the markup *Covariates have to be included here again* invites    Revision 1.171  2014/12/23 13:26:59  brouard
   you to do it.  More covariates you add, slower the    Summary: Back from Visual C
   convergence.  
     Still problem with utsname.h on Windows
   The advantage of this computer programme, compared to a simple  
   multinomial logistic model, is clear when the delay between waves is not    Revision 1.170  2014/12/23 11:17:12  brouard
   identical for each individual. Also, if a individual missed an    Summary: Cleaning some \%% back to %%
   intermediate interview, the information is lost, but taken into  
   account using an interpolation or extrapolation.      The escape was mandatory for a specific compiler (which one?), but too many warnings.
   
   hPijx is the probability to be observed in state i at age x+h    Revision 1.169  2014/12/22 23:08:31  brouard
   conditional to the observed state i at age x. The delay 'h' can be    Summary: 0.98p
   split into an exact number (nh*stepm) of unobserved intermediate  
   states. This elementary transition (by month or quarter trimester,    Outputs some informations on compiler used, OS etc. Testing on different platforms.
   semester or year) is model as a multinomial logistic.  The hPx  
   matrix is simply the matrix product of nh*stepm elementary matrices    Revision 1.168  2014/12/22 15:17:42  brouard
   and the contribution of each individual to the likelihood is simply    Summary: update
   hPijx.  
     Revision 1.167  2014/12/22 13:50:56  brouard
   Also this programme outputs the covariance matrix of the parameters but also    Summary: Testing uname and compiler version and if compiled 32 or 64
   of the life expectancies. It also computes the prevalence limits.  
      Testing on Linux 64
   Authors: Nicolas Brouard (brouard@ined.fr) and Agnès Lièvre (lievre@ined.fr).  
            Institut national d'études démographiques, Paris.    Revision 1.166  2014/12/22 11:40:47  brouard
   This software have been partly granted by Euro-REVES, a concerted action    *** empty log message ***
   from the European Union.  
   It is copyrighted identically to a GNU software product, ie programme and    Revision 1.165  2014/12/16 11:20:36  brouard
   software can be distributed freely for non commercial use. Latest version    Summary: After compiling on Visual C
   can be accessed at http://euroreves.ined.fr/imach .  
   **********************************************************************/    * imach.c (Module): Merging 1.61 to 1.162
    
 #include <math.h>    Revision 1.164  2014/12/16 10:52:11  brouard
 #include <stdio.h>    Summary: Merging with Visual C after suppressing some warnings for unused variables. Also fixing Saito's bug 0.98Xn
 #include <stdlib.h>  
 #include <unistd.h>    * imach.c (Module): Merging 1.61 to 1.162
   
 #define MAXLINE 256    Revision 1.163  2014/12/16 10:30:11  brouard
 #define GNUPLOTPROGRAM "..\\gp37mgw\\wgnuplot"    * imach.c (Module): Merging 1.61 to 1.162
 #define FILENAMELENGTH 80  
 /*#define DEBUG*/    Revision 1.162  2014/09/25 11:43:39  brouard
 #define windows    Summary: temporary backup 0.99!
 #define GLOCK_ERROR_NOPATH              -1      /* empty path */  
 #define GLOCK_ERROR_GETCWD              -2      /* cannot get cwd */    Revision 1.1  2014/09/16 11:06:58  brouard
     Summary: With some code (wrong) for nlopt
 #define MAXPARM 30 /* Maximum number of parameters for the optimization */  
 #define NPARMAX 64 /* (nlstate+ndeath-1)*nlstate*ncovmodel */    Author:
   
 #define NINTERVMAX 8    Revision 1.161  2014/09/15 20:41:41  brouard
 #define NLSTATEMAX 8 /* Maximum number of live states (for func) */    Summary: Problem with macro SQR on Intel compiler
 #define NDEATHMAX 8 /* Maximum number of dead states (for func) */  
 #define NCOVMAX 8 /* Maximum number of covariates */    Revision 1.160  2014/09/02 09:24:05  brouard
 #define MAXN 20000    *** empty log message ***
 #define YEARM 12. /* Number of months per year */  
 #define AGESUP 130    Revision 1.159  2014/09/01 10:34:10  brouard
 #define AGEBASE 40    Summary: WIN32
     Author: Brouard
   
 int erreur; /* Error number */    Revision 1.158  2014/08/27 17:11:51  brouard
 int nvar;    *** empty log message ***
 int cptcovn, cptcovage=0, cptcoveff=0,cptcov;  
 int npar=NPARMAX;    Revision 1.157  2014/08/27 16:26:55  brouard
 int nlstate=2; /* Number of live states */    Summary: Preparing windows Visual studio version
 int ndeath=1; /* Number of dead states */    Author: Brouard
 int ncovmodel, ncov;     /* Total number of covariables including constant a12*1 +b12*x ncovmodel=2 */  
 int popbased=0;    In order to compile on Visual studio, time.h is now correct and time_t
     and tm struct should be used. difftime should be used but sometimes I
 int *wav; /* Number of waves for this individuual 0 is possible */    just make the differences in raw time format (time(&now).
 int maxwav; /* Maxim number of waves */    Trying to suppress #ifdef LINUX
 int jmin, jmax; /* min, max spacing between 2 waves */    Add xdg-open for __linux in order to open default browser.
 int mle, weightopt;  
 int **mw; /* mw[mi][i] is number of the mi wave for this individual */    Revision 1.156  2014/08/25 20:10:10  brouard
 int **dh; /* dh[mi][i] is number of steps between mi,mi+1 for this individual */    *** empty log message ***
 double jmean; /* Mean space between 2 waves */  
 double **oldm, **newm, **savm; /* Working pointers to matrices */    Revision 1.155  2014/08/25 18:32:34  brouard
 double **oldms, **newms, **savms; /* Fixed working pointers to matrices */    Summary: New compile, minor changes
 FILE *fic,*ficpar, *ficparo,*ficres,  *ficrespl, *ficrespij, *ficrest,*ficresf;    Author: Brouard
 FILE *ficgp, *fichtm,*ficresprob,*ficpop;  
 FILE *ficreseij;    Revision 1.154  2014/06/20 17:32:08  brouard
   char filerese[FILENAMELENGTH];    Summary: Outputs now all graphs of convergence to period prevalence
  FILE  *ficresvij;  
   char fileresv[FILENAMELENGTH];    Revision 1.153  2014/06/20 16:45:46  brouard
  FILE  *ficresvpl;    Summary: If 3 live state, convergence to period prevalence on same graph
   char fileresvpl[FILENAMELENGTH];    Author: Brouard
   
 #define NR_END 1    Revision 1.152  2014/06/18 17:54:09  brouard
 #define FREE_ARG char*    Summary: open browser, use gnuplot on same dir than imach if not found in the path
 #define FTOL 1.0e-10  
     Revision 1.151  2014/06/18 16:43:30  brouard
 #define NRANSI    *** empty log message ***
 #define ITMAX 200  
     Revision 1.150  2014/06/18 16:42:35  brouard
 #define TOL 2.0e-4    Summary: If gnuplot is not in the path try on same directory than imach binary (OSX)
     Author: brouard
 #define CGOLD 0.3819660  
 #define ZEPS 1.0e-10    Revision 1.149  2014/06/18 15:51:14  brouard
 #define SHFT(a,b,c,d) (a)=(b);(b)=(c);(c)=(d);    Summary: Some fixes in parameter files errors
     Author: Nicolas Brouard
 #define GOLD 1.618034  
 #define GLIMIT 100.0    Revision 1.148  2014/06/17 17:38:48  brouard
 #define TINY 1.0e-20    Summary: Nothing new
     Author: Brouard
 static double maxarg1,maxarg2;  
 #define FMAX(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)>(maxarg2)? (maxarg1):(maxarg2))    Just a new packaging for OS/X version 0.98nS
 #define FMIN(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)<(maxarg2)? (maxarg1):(maxarg2))  
      Revision 1.147  2014/06/16 10:33:11  brouard
 #define SIGN(a,b) ((b)>0.0 ? fabs(a) : -fabs(a))    *** empty log message ***
 #define rint(a) floor(a+0.5)  
     Revision 1.146  2014/06/16 10:20:28  brouard
 static double sqrarg;    Summary: Merge
 #define SQR(a) ((sqrarg=(a)) == 0.0 ? 0.0 :sqrarg*sqrarg)    Author: Brouard
 #define SWAP(a,b) {temp=(a);(a)=(b);(b)=temp;}  
     Merge, before building revised version.
 int imx;  
 int stepm;    Revision 1.145  2014/06/10 21:23:15  brouard
 /* Stepm, step in month: minimum step interpolation*/    Summary: Debugging with valgrind
     Author: Nicolas Brouard
 int m,nb;  
 int *num, firstpass=0, lastpass=4,*cod, *ncodemax, *Tage;    Lot of changes in order to output the results with some covariates
 double **agev,*moisnais, *annais, *moisdc, *andc,**mint, **anint;    After the Edimburgh REVES conference 2014, it seems mandatory to
 double **pmmij, ***probs, ***mobaverage;    improve the code.
 double dateintmean=0;    No more memory valgrind error but a lot has to be done in order to
     continue the work of splitting the code into subroutines.
 double *weight;    Also, decodemodel has been improved. Tricode is still not
 int **s; /* Status */    optimal. nbcode should be improved. Documentation has been added in
 double *agedc, **covar, idx;    the source code.
 int **nbcode, *Tcode, *Tvar, **codtab, **Tvard, *Tprod, cptcovprod, *Tvaraff;  
     Revision 1.143  2014/01/26 09:45:38  brouard
 double ftol=FTOL; /* Tolerance for computing Max Likelihood */    Summary: Version 0.98nR (to be improved, but gives same optimization results as 0.98k. Nice, promising
 double ftolhess; /* Tolerance for computing hessian */  
     * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
 /**************** split *************************/    (Module): Version 0.98nR Running ok, but output format still only works for three covariates.
 static  int split( char *path, char *dirc, char *name, char *ext, char *finame )  
 {    Revision 1.142  2014/01/26 03:57:36  brouard
    char *s;                             /* pointer */    Summary: gnuplot changed plot w l 1 has to be changed to plot w l lt 2
    int  l1, l2;                         /* length counters */  
     * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
    l1 = strlen( path );                 /* length of path */  
    if ( l1 == 0 ) return( GLOCK_ERROR_NOPATH );    Revision 1.141  2014/01/26 02:42:01  brouard
 #ifdef windows    * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
    s = strrchr( path, '\\' );           /* find last / */  
 #else    Revision 1.140  2011/09/02 10:37:54  brouard
    s = strrchr( path, '/' );            /* find last / */    Summary: times.h is ok with mingw32 now.
 #endif  
    if ( s == NULL ) {                   /* no directory, so use current */    Revision 1.139  2010/06/14 07:50:17  brouard
 #if     defined(__bsd__)                /* get current working directory */    After the theft of my laptop, I probably lost some lines of codes which were not uploaded to the CVS tree.
       extern char       *getwd( );    I remember having already fixed agemin agemax which are pointers now but not cvs saved.
   
       if ( getwd( dirc ) == NULL ) {    Revision 1.138  2010/04/30 18:19:40  brouard
 #else    *** empty log message ***
       extern char       *getcwd( );  
     Revision 1.137  2010/04/29 18:11:38  brouard
       if ( getcwd( dirc, FILENAME_MAX ) == NULL ) {    (Module): Checking covariates for more complex models
 #endif    than V1+V2. A lot of change to be done. Unstable.
          return( GLOCK_ERROR_GETCWD );  
       }    Revision 1.136  2010/04/26 20:30:53  brouard
       strcpy( name, path );             /* we've got it */    (Module): merging some libgsl code. Fixing computation
    } else {                             /* strip direcotry from path */    of likelione (using inter/intrapolation if mle = 0) in order to
       s++;                              /* after this, the filename */    get same likelihood as if mle=1.
       l2 = strlen( s );                 /* length of filename */    Some cleaning of code and comments added.
       if ( l2 == 0 ) return( GLOCK_ERROR_NOPATH );  
       strcpy( name, s );                /* save file name */    Revision 1.135  2009/10/29 15:33:14  brouard
       strncpy( dirc, path, l1 - l2 );   /* now the directory */    (Module): Now imach stops if date of birth, at least year of birth, is not given. Some cleaning of the code.
       dirc[l1-l2] = 0;                  /* add zero */  
    }    Revision 1.134  2009/10/29 13:18:53  brouard
    l1 = strlen( dirc );                 /* length of directory */    (Module): Now imach stops if date of birth, at least year of birth, is not given. Some cleaning of the code.
 #ifdef windows  
    if ( dirc[l1-1] != '\\' ) { dirc[l1] = '\\'; dirc[l1+1] = 0; }    Revision 1.133  2009/07/06 10:21:25  brouard
 #else    just nforces
    if ( dirc[l1-1] != '/' ) { dirc[l1] = '/'; dirc[l1+1] = 0; }  
 #endif    Revision 1.132  2009/07/06 08:22:05  brouard
    s = strrchr( name, '.' );            /* find last / */    Many tings
    s++;  
    strcpy(ext,s);                       /* save extension */    Revision 1.131  2009/06/20 16:22:47  brouard
    l1= strlen( name);    Some dimensions resccaled
    l2= strlen( s)+1;  
    strncpy( finame, name, l1-l2);    Revision 1.130  2009/05/26 06:44:34  brouard
    finame[l1-l2]= 0;    (Module): Max Covariate is now set to 20 instead of 8. A
    return( 0 );                         /* we're done */    lot of cleaning with variables initialized to 0. Trying to make
 }    V2+V3*age+V1+V4 strb=V3*age+V1+V4 working better.
   
     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
   
 void replace(char *s, char*t)    Revision 1.128  2006/06/30 13:02:05  brouard
 {    (Module): Clarifications on computing e.j
   int i;  
   int lg=20;    Revision 1.127  2006/04/28 18:11:50  brouard
   i=0;    (Module): Yes the sum of survivors was wrong since
   lg=strlen(t);    imach-114 because nhstepm was no more computed in the age
   for(i=0; i<= lg; i++) {    loop. Now we define nhstepma in the age loop.
     (s[i] = t[i]);    (Module): In order to speed up (in case of numerous covariates) we
     if (t[i]== '\\') s[i]='/';    compute health expectancies (without variances) in a first step
   }    and then all the health expectancies with variances or standard
 }    deviation (needs data from the Hessian matrices) which slows the
     computation.
 int nbocc(char *s, char occ)    In the future we should be able to stop the program is only health
 {    expectancies and graph are needed without standard deviations.
   int i,j=0;  
   int lg=20;    Revision 1.126  2006/04/28 17:23:28  brouard
   i=0;    (Module): Yes the sum of survivors was wrong since
   lg=strlen(s);    imach-114 because nhstepm was no more computed in the age
   for(i=0; i<= lg; i++) {    loop. Now we define nhstepma in the age loop.
   if  (s[i] == occ ) j++;    Version 0.98h
   }  
   return j;    Revision 1.125  2006/04/04 15:20:31  lievre
 }    Errors in calculation of health expectancies. Age was not initialized.
     Forecasting file added.
 void cutv(char *u,char *v, char*t, char occ)  
 {    Revision 1.124  2006/03/22 17:13:53  lievre
   int i,lg,j,p=0;    Parameters are printed with %lf instead of %f (more numbers after the comma).
   i=0;    The log-likelihood is printed in the log file
   for(j=0; j<=strlen(t)-1; j++) {  
     if((t[j]!= occ) && (t[j+1]== occ)) p=j+1;    Revision 1.123  2006/03/20 10:52:43  brouard
   }    * imach.c (Module): <title> changed, corresponds to .htm file
     name. <head> headers where missing.
   lg=strlen(t);  
   for(j=0; j<p; j++) {    * imach.c (Module): Weights can have a decimal point as for
     (u[j] = t[j]);    English (a comma might work with a correct LC_NUMERIC environment,
   }    otherwise the weight is truncated).
      u[p]='\0';    Modification of warning when the covariates values are not 0 or
     1.
    for(j=0; j<= lg; j++) {    Version 0.98g
     if (j>=(p+1))(v[j-p-1] = t[j]);  
   }    Revision 1.122  2006/03/20 09:45:41  brouard
 }    (Module): Weights can have a decimal point as for
     English (a comma might work with a correct LC_NUMERIC environment,
 /********************** nrerror ********************/    otherwise the weight is truncated).
     Modification of warning when the covariates values are not 0 or
 void nrerror(char error_text[])    1.
 {    Version 0.98g
   fprintf(stderr,"ERREUR ...\n");  
   fprintf(stderr,"%s\n",error_text);    Revision 1.121  2006/03/16 17:45:01  lievre
   exit(1);    * imach.c (Module): Comments concerning covariates added
 }  
 /*********************** vector *******************/    * imach.c (Module): refinements in the computation of lli if
 double *vector(int nl, int nh)    status=-2 in order to have more reliable computation if stepm is
 {    not 1 month. Version 0.98f
   double *v;  
   v=(double *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(double)));    Revision 1.120  2006/03/16 15:10:38  lievre
   if (!v) nrerror("allocation failure in vector");    (Module): refinements in the computation of lli if
   return v-nl+NR_END;    status=-2 in order to have more reliable computation if stepm is
 }    not 1 month. Version 0.98f
   
 /************************ free vector ******************/    Revision 1.119  2006/03/15 17:42:26  brouard
 void free_vector(double*v, int nl, int nh)    (Module): Bug if status = -2, the loglikelihood was
 {    computed as likelihood omitting the logarithm. Version O.98e
   free((FREE_ARG)(v+nl-NR_END));  
 }    Revision 1.118  2006/03/14 18:20:07  brouard
     (Module): varevsij Comments added explaining the second
 /************************ivector *******************************/    table of variances if popbased=1 .
 int *ivector(long nl,long nh)    (Module): Covariances of eij, ekl added, graphs fixed, new html link.
 {    (Module): Function pstamp added
   int *v;    (Module): Version 0.98d
   v=(int *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(int)));  
   if (!v) nrerror("allocation failure in ivector");    Revision 1.117  2006/03/14 17:16:22  brouard
   return v-nl+NR_END;    (Module): varevsij Comments added explaining the second
 }    table of variances if popbased=1 .
     (Module): Covariances of eij, ekl added, graphs fixed, new html link.
 /******************free ivector **************************/    (Module): Function pstamp added
 void free_ivector(int *v, long nl, long nh)    (Module): Version 0.98d
 {  
   free((FREE_ARG)(v+nl-NR_END));    Revision 1.116  2006/03/06 10:29:27  brouard
 }    (Module): Variance-covariance wrong links and
     varian-covariance of ej. is needed (Saito).
 /******************* imatrix *******************************/  
 int **imatrix(long nrl, long nrh, long ncl, long nch)    Revision 1.115  2006/02/27 12:17:45  brouard
      /* allocate a int matrix with subscript range m[nrl..nrh][ncl..nch] */    (Module): One freematrix added in mlikeli! 0.98c
 {  
   long i, nrow=nrh-nrl+1,ncol=nch-ncl+1;    Revision 1.114  2006/02/26 12:57:58  brouard
   int **m;    (Module): Some improvements in processing parameter
      filename with strsep.
   /* allocate pointers to rows */  
   m=(int **) malloc((size_t)((nrow+NR_END)*sizeof(int*)));    Revision 1.113  2006/02/24 14:20:24  brouard
   if (!m) nrerror("allocation failure 1 in matrix()");    (Module): Memory leaks checks with valgrind and:
   m += NR_END;    datafile was not closed, some imatrix were not freed and on matrix
   m -= nrl;    allocation too.
    
      Revision 1.112  2006/01/30 09:55:26  brouard
   /* allocate rows and set pointers to them */    (Module): Back to gnuplot.exe instead of wgnuplot.exe
   m[nrl]=(int *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(int)));  
   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");    Revision 1.111  2006/01/25 20:38:18  brouard
   m[nrl] += NR_END;    (Module): Lots of cleaning and bugs added (Gompertz)
   m[nrl] -= ncl;    (Module): Comments can be added in data file. Missing date values
      can be a simple dot '.'.
   for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol;  
      Revision 1.110  2006/01/25 00:51:50  brouard
   /* return pointer to array of pointers to rows */    (Module): Lots of cleaning and bugs added (Gompertz)
   return m;  
 }    Revision 1.109  2006/01/24 19:37:15  brouard
     (Module): Comments (lines starting with a #) are allowed in data.
 /****************** free_imatrix *************************/  
 void free_imatrix(m,nrl,nrh,ncl,nch)    Revision 1.108  2006/01/19 18:05:42  lievre
       int **m;    Gnuplot problem appeared...
       long nch,ncl,nrh,nrl;    To be fixed
      /* free an int matrix allocated by imatrix() */  
 {    Revision 1.107  2006/01/19 16:20:37  brouard
   free((FREE_ARG) (m[nrl]+ncl-NR_END));    Test existence of gnuplot in imach path
   free((FREE_ARG) (m+nrl-NR_END));  
 }    Revision 1.106  2006/01/19 13:24:36  brouard
     Some cleaning and links added in html output
 /******************* matrix *******************************/  
 double **matrix(long nrl, long nrh, long ncl, long nch)    Revision 1.105  2006/01/05 20:23:19  lievre
 {    *** empty log message ***
   long i, nrow=nrh-nrl+1, ncol=nch-ncl+1;  
   double **m;    Revision 1.104  2005/09/30 16:11:43  lievre
     (Module): sump fixed, loop imx fixed, and simplifications.
   m=(double **) malloc((size_t)((nrow+NR_END)*sizeof(double*)));    (Module): If the status is missing at the last wave but we know
   if (!m) nrerror("allocation failure 1 in matrix()");    that the person is alive, then we can code his/her status as -2
   m += NR_END;    (instead of missing=-1 in earlier versions) and his/her
   m -= nrl;    contributions to the likelihood is 1 - Prob of dying from last
     health status (= 1-p13= p11+p12 in the easiest case of somebody in
   m[nrl]=(double *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));    the healthy state at last known wave). Version is 0.98
   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");  
   m[nrl] += NR_END;    Revision 1.103  2005/09/30 15:54:49  lievre
   m[nrl] -= ncl;    (Module): sump fixed, loop imx fixed, and simplifications.
   
   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;    Revision 1.102  2004/09/15 17:31:30  brouard
   return m;    Add the possibility to read data file including tab characters.
 }  
     Revision 1.101  2004/09/15 10:38:38  brouard
 /*************************free matrix ************************/    Fix on curr_time
 void free_matrix(double **m, long nrl, long nrh, long ncl, long nch)  
 {    Revision 1.100  2004/07/12 18:29:06  brouard
   free((FREE_ARG)(m[nrl]+ncl-NR_END));    Add version for Mac OS X. Just define UNIX in Makefile
   free((FREE_ARG)(m+nrl-NR_END));  
 }    Revision 1.99  2004/06/05 08:57:40  brouard
     *** empty log message ***
 /******************* ma3x *******************************/  
 double ***ma3x(long nrl, long nrh, long ncl, long nch, long nll, long nlh)    Revision 1.98  2004/05/16 15:05:56  brouard
 {    New version 0.97 . First attempt to estimate force of mortality
   long i, j, nrow=nrh-nrl+1, ncol=nch-ncl+1, nlay=nlh-nll+1;    directly from the data i.e. without the need of knowing the health
   double ***m;    state at each age, but using a Gompertz model: log u =a + b*age .
     This is the basic analysis of mortality and should be done before any
   m=(double ***) malloc((size_t)((nrow+NR_END)*sizeof(double*)));    other analysis, in order to test if the mortality estimated from the
   if (!m) nrerror("allocation failure 1 in matrix()");    cross-longitudinal survey is different from the mortality estimated
   m += NR_END;    from other sources like vital statistic data.
   m -= nrl;  
     The same imach parameter file can be used but the option for mle should be -3.
   m[nrl]=(double **) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));  
   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");    Agnès, who wrote this part of the code, tried to keep most of the
   m[nrl] += NR_END;    former routines in order to include the new code within the former code.
   m[nrl] -= ncl;  
     The output is very simple: only an estimate of the intercept and of
   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;    the slope with 95% confident intervals.
   
   m[nrl][ncl]=(double *) malloc((size_t)((nrow*ncol*nlay+NR_END)*sizeof(double)));    Current limitations:
   if (!m[nrl][ncl]) nrerror("allocation failure 3 in matrix()");    A) Even if you enter covariates, i.e. with the
   m[nrl][ncl] += NR_END;    model= V1+V2 equation for example, the programm does only estimate a unique global model without covariates.
   m[nrl][ncl] -= nll;    B) There is no computation of Life Expectancy nor Life Table.
   for (j=ncl+1; j<=nch; j++)  
     m[nrl][j]=m[nrl][j-1]+nlay;    Revision 1.97  2004/02/20 13:25:42  lievre
      Version 0.96d. Population forecasting command line is (temporarily)
   for (i=nrl+1; i<=nrh; i++) {    suppressed.
     m[i][ncl]=m[i-1l][ncl]+ncol*nlay;  
     for (j=ncl+1; j<=nch; j++)    Revision 1.96  2003/07/15 15:38:55  brouard
       m[i][j]=m[i][j-1]+nlay;    * imach.c (Repository): Errors in subdirf, 2, 3 while printing tmpout is
   }    rewritten within the same printf. Workaround: many printfs.
   return m;  
 }    Revision 1.95  2003/07/08 07:54:34  brouard
     * imach.c (Repository):
 /*************************free ma3x ************************/    (Repository): Using imachwizard code to output a more meaningful covariance
 void free_ma3x(double ***m, long nrl, long nrh, long ncl, long nch,long nll, long nlh)    matrix (cov(a12,c31) instead of numbers.
 {  
   free((FREE_ARG)(m[nrl][ncl]+ nll-NR_END));    Revision 1.94  2003/06/27 13:00:02  brouard
   free((FREE_ARG)(m[nrl]+ncl-NR_END));    Just cleaning
   free((FREE_ARG)(m+nrl-NR_END));  
 }    Revision 1.93  2003/06/25 16:33:55  brouard
     (Module): On windows (cygwin) function asctime_r doesn't
 /***************** f1dim *************************/    exist so I changed back to asctime which exists.
 extern int ncom;    (Module): Version 0.96b
 extern double *pcom,*xicom;  
 extern double (*nrfunc)(double []);    Revision 1.92  2003/06/25 16:30:45  brouard
      (Module): On windows (cygwin) function asctime_r doesn't
 double f1dim(double x)    exist so I changed back to asctime which exists.
 {  
   int j;    Revision 1.91  2003/06/25 15:30:29  brouard
   double f;    * imach.c (Repository): Duplicated warning errors corrected.
   double *xt;    (Repository): Elapsed time after each iteration is now output. It
      helps to forecast when convergence will be reached. Elapsed time
   xt=vector(1,ncom);    is stamped in powell.  We created a new html file for the graphs
   for (j=1;j<=ncom;j++) xt[j]=pcom[j]+x*xicom[j];    concerning matrix of covariance. It has extension -cov.htm.
   f=(*nrfunc)(xt);  
   free_vector(xt,1,ncom);    Revision 1.90  2003/06/24 12:34:15  brouard
   return f;    (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.
 /*****************brent *************************/  
 double brent(double ax, double bx, double cx, double (*f)(double), double tol,  double *xmin)    Revision 1.89  2003/06/24 12:30:52  brouard
 {    (Module): Some bugs corrected for windows. Also, when
   int iter;    mle=-1 a template is output in file "or"mypar.txt with the design
   double a,b,d,etemp;    of the covariance matrix to be input.
   double fu,fv,fw,fx;  
   double ftemp;    Revision 1.88  2003/06/23 17:54:56  brouard
   double p,q,r,tol1,tol2,u,v,w,x,xm;    * 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.
   double e=0.0;  
      Revision 1.87  2003/06/18 12:26:01  brouard
   a=(ax < cx ? ax : cx);    Version 0.96
   b=(ax > cx ? ax : cx);  
   x=w=v=bx;    Revision 1.86  2003/06/17 20:04:08  brouard
   fw=fv=fx=(*f)(x);    (Module): Change position of html and gnuplot routines and added
   for (iter=1;iter<=ITMAX;iter++) {    routine fileappend.
     xm=0.5*(a+b);  
     tol2=2.0*(tol1=tol*fabs(x)+ZEPS);    Revision 1.85  2003/06/17 13:12:43  brouard
     /*          if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret)))*/    * imach.c (Repository): Check when date of death was earlier that
     printf(".");fflush(stdout);    current date of interview. It may happen when the death was just
 #ifdef DEBUG    prior to the death. In this case, dh was negative and likelihood
     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);    was wrong (infinity). We still send an "Error" but patch by
     /*          if ((fabs(x-xm) <= (tol2-0.5*(b-a)))||(2.0*fabs(fu-ftemp) <= ftol*1.e-2*(fabs(fu)+fabs(ftemp)))) { */    assuming that the date of death was just one stepm after the
 #endif    interview.
     if (fabs(x-xm) <= (tol2-0.5*(b-a))){    (Repository): Because some people have very long ID (first column)
       *xmin=x;    we changed int to long in num[] and we added a new lvector for
       return fx;    memory allocation. But we also truncated to 8 characters (left
     }    truncation)
     ftemp=fu;    (Repository): No more line truncation errors.
     if (fabs(e) > tol1) {  
       r=(x-w)*(fx-fv);    Revision 1.84  2003/06/13 21:44:43  brouard
       q=(x-v)*(fx-fw);    * imach.c (Repository): Replace "freqsummary" at a correct
       p=(x-v)*q-(x-w)*r;    place. It differs from routine "prevalence" which may be called
       q=2.0*(q-r);    many times. Probs is memory consuming and must be used with
       if (q > 0.0) p = -p;    parcimony.
       q=fabs(q);    Version 0.95a3 (should output exactly the same maximization than 0.8a2)
       etemp=e;  
       e=d;    Revision 1.83  2003/06/10 13:39:11  lievre
       if (fabs(p) >= fabs(0.5*q*etemp) || p <= q*(a-x) || p >= q*(b-x))    *** empty log message ***
         d=CGOLD*(e=(x >= xm ? a-x : b-x));  
       else {    Revision 1.82  2003/06/05 15:57:20  brouard
         d=p/q;    Add log in  imach.c and  fullversion number is now printed.
         u=x+d;  
         if (u-a < tol2 || b-u < tol2)  */
           d=SIGN(tol1,xm-x);  /*
       }     Interpolated Markov Chain
     } else {  
       d=CGOLD*(e=(x >= xm ? a-x : b-x));    Short summary of the programme:
     }    
     u=(fabs(d) >= tol1 ? x+d : x+SIGN(tol1,d));    This program computes Healthy Life Expectancies from
     fu=(*f)(u);    cross-longitudinal data. Cross-longitudinal data consist in: -1- a
     if (fu <= fx) {    first survey ("cross") where individuals from different ages are
       if (u >= x) a=x; else b=x;    interviewed on their health status or degree of disability (in the
       SHFT(v,w,x,u)    case of a health survey which is our main interest) -2- at least a
         SHFT(fv,fw,fx,fu)    second wave of interviews ("longitudinal") which measure each change
         } else {    (if any) in individual health status.  Health expectancies are
           if (u < x) a=u; else b=u;    computed from the time spent in each health state according to a
           if (fu <= fw || w == x) {    model. More health states you consider, more time is necessary to reach the
             v=w;    Maximum Likelihood of the parameters involved in the model.  The
             w=u;    simplest model is the multinomial logistic model where pij is the
             fv=fw;    probability to be observed in state j at the second wave
             fw=fu;    conditional to be observed in state i at the first wave. Therefore
           } else if (fu <= fv || v == x || v == w) {    the model is: log(pij/pii)= aij + bij*age+ cij*sex + etc , where
             v=u;    'age' is age and 'sex' is a covariate. If you want to have a more
             fv=fu;    complex model than "constant and age", you should modify the program
           }    where the markup *Covariates have to be included here again* invites
         }    you to do it.  More covariates you add, slower the
   }    convergence.
   nrerror("Too many iterations in brent");  
   *xmin=x;    The advantage of this computer programme, compared to a simple
   return fx;    multinomial logistic model, is clear when the delay between waves is not
 }    identical for each individual. Also, if a individual missed an
     intermediate interview, the information is lost, but taken into
 /****************** mnbrak ***********************/    account using an interpolation or extrapolation.  
   
 void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, double *fc,    hPijx is the probability to be observed in state i at age x+h
             double (*func)(double))    conditional to the observed state i at age x. The delay 'h' can be
 {    split into an exact number (nh*stepm) of unobserved intermediate
   double ulim,u,r,q, dum;    states. This elementary transition (by month, quarter,
   double fu;    semester or year) is modelled as a multinomial logistic.  The hPx
      matrix is simply the matrix product of nh*stepm elementary matrices
   *fa=(*func)(*ax);    and the contribution of each individual to the likelihood is simply
   *fb=(*func)(*bx);    hPijx.
   if (*fb > *fa) {  
     SHFT(dum,*ax,*bx,dum)    Also this programme outputs the covariance matrix of the parameters but also
       SHFT(dum,*fb,*fa,dum)    of the life expectancies. It also computes the period (stable) prevalence. 
       }    
   *cx=(*bx)+GOLD*(*bx-*ax);    Authors: Nicolas Brouard (brouard@ined.fr) and Agnès Lièvre (lievre@ined.fr).
   *fc=(*func)(*cx);             Institut national d'études démographiques, Paris.
   while (*fb > *fc) {    This software have been partly granted by Euro-REVES, a concerted action
     r=(*bx-*ax)*(*fb-*fc);    from the European Union.
     q=(*bx-*cx)*(*fb-*fa);    It is copyrighted identically to a GNU software product, ie programme and
     u=(*bx)-((*bx-*cx)*q-(*bx-*ax)*r)/    software can be distributed freely for non commercial use. Latest version
       (2.0*SIGN(FMAX(fabs(q-r),TINY),q-r));    can be accessed at http://euroreves.ined.fr/imach .
     ulim=(*bx)+GLIMIT*(*cx-*bx);  
     if ((*bx-u)*(u-*cx) > 0.0) {    Help to debug: LD_PRELOAD=/usr/local/lib/libnjamd.so ./imach foo.imach
       fu=(*func)(u);    or better on gdb : set env LD_PRELOAD=/usr/local/lib/libnjamd.so
     } else if ((*cx-u)*(u-ulim) > 0.0) {    
       fu=(*func)(u);    **********************************************************************/
       if (fu < *fc) {  /*
         SHFT(*bx,*cx,u,*cx+GOLD*(*cx-*bx))    main
           SHFT(*fb,*fc,fu,(*func)(u))    read parameterfile
           }    read datafile
     } else if ((u-ulim)*(ulim-*cx) >= 0.0) {    concatwav
       u=ulim;    freqsummary
       fu=(*func)(u);    if (mle >= 1)
     } else {      mlikeli
       u=(*cx)+GOLD*(*cx-*bx);    print results files
       fu=(*func)(u);    if mle==1 
     }       computes hessian
     SHFT(*ax,*bx,*cx,u)    read end of parameter file: agemin, agemax, bage, fage, estepm
       SHFT(*fa,*fb,*fc,fu)        begin-prev-date,...
       }    open gnuplot file
 }    open html file
     period (stable) prevalence      | pl_nom    1-1 2-2 etc by covariate
 /*************** linmin ************************/     for age prevalim()             | #****** V1=0  V2=1  V3=1  V4=0 ******
                                     | 65 1 0 2 1 3 1 4 0  0.96326 0.03674
 int ncom;      freexexit2 possible for memory heap.
 double *pcom,*xicom;  
 double (*nrfunc)(double []);    h Pij x                         | pij_nom  ficrestpij
       # Cov Agex agex+h hpijx with i,j= 1-1 1-2     1-3     2-1     2-2     2-3
 void linmin(double p[], double xi[], int n, double *fret,double (*func)(double []))         1  85   85    1.00000             0.00000 0.00000 0.00000 1.00000 0.00000
 {         1  85   86    0.68299             0.22291 0.09410 0.71093 0.00000 0.28907
   double brent(double ax, double bx, double cx,  
                double (*f)(double), double tol, double *xmin);         1  65   99    0.00364             0.00322 0.99314 0.00350 0.00310 0.99340
   double f1dim(double x);         1  65  100    0.00214             0.00204 0.99581 0.00206 0.00196 0.99597
   void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb,    variance of p one-step probabilities varprob  | prob_nom   ficresprob #One-step probabilities and stand. devi in ()
               double *fc, double (*func)(double));     Standard deviation of one-step probabilities | probcor_nom   ficresprobcor #One-step probabilities and correlation matrix
   int j;     Matrix of variance covariance of one-step probabilities |  probcov_nom ficresprobcov #One-step probabilities and covariance matrix
   double xx,xmin,bx,ax;  
   double fx,fb,fa;    forecasting if prevfcast==1 prevforecast call prevalence()
      health expectancies
   ncom=n;    Variance-covariance of DFLE
   pcom=vector(1,n);    prevalence()
   xicom=vector(1,n);     movingaverage()
   nrfunc=func;    varevsij() 
   for (j=1;j<=n;j++) {    if popbased==1 varevsij(,popbased)
     pcom[j]=p[j];    total life expectancies
     xicom[j]=xi[j];    Variance of period (stable) prevalence
   }   end
   ax=0.0;  */
   xx=1.0;  
   mnbrak(&ax,&xx,&bx,&fa,&fx,&fb,f1dim);  #define POWELL /* Instead of NLOPT */
   *fret=brent(ax,xx,bx,f1dim,TOL,&xmin);  
 #ifdef DEBUG  #include <math.h>
   printf("retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);  #include <stdio.h>
 #endif  #include <stdlib.h>
   for (j=1;j<=n;j++) {  #include <string.h>
     xi[j] *= xmin;  
     p[j] += xi[j];  #ifdef _WIN32
   }  #include <io.h>
   free_vector(xicom,1,n);  #include <windows.h>
   free_vector(pcom,1,n);  #include <tchar.h>
 }  #else
   #include <unistd.h>
 /*************** powell ************************/  #endif
 void powell(double p[], double **xi, int n, double ftol, int *iter, double *fret,  
             double (*func)(double []))  #include <limits.h>
 {  #include <sys/types.h>
   void linmin(double p[], double xi[], int n, double *fret,  
               double (*func)(double []));  #if defined(__GNUC__)
   int i,ibig,j;  #include <sys/utsname.h> /* Doesn't work on Windows */
   double del,t,*pt,*ptt,*xit;  #endif
   double fp,fptt;  
   double *xits;  #include <sys/stat.h>
   pt=vector(1,n);  #include <errno.h>
   ptt=vector(1,n);  /* extern int errno; */
   xit=vector(1,n);  
   xits=vector(1,n);  /* #ifdef LINUX */
   *fret=(*func)(p);  /* #include <time.h> */
   for (j=1;j<=n;j++) pt[j]=p[j];  /* #include "timeval.h" */
   for (*iter=1;;++(*iter)) {  /* #else */
     fp=(*fret);  /* #include <sys/time.h> */
     ibig=0;  /* #endif */
     del=0.0;  
     printf("\nPowell iter=%d -2*LL=%.12f",*iter,*fret);  #include <time.h>
     for (i=1;i<=n;i++)  
       printf(" %d %.12f",i, p[i]);  #ifdef GSL
     printf("\n");  #include <gsl/gsl_errno.h>
     for (i=1;i<=n;i++) {  #include <gsl/gsl_multimin.h>
       for (j=1;j<=n;j++) xit[j]=xi[j][i];  #endif
       fptt=(*fret);  
 #ifdef DEBUG  
       printf("fret=%lf \n",*fret);  #ifdef NLOPT
 #endif  #include <nlopt.h>
       printf("%d",i);fflush(stdout);  typedef struct {
       linmin(p,xit,n,fret,func);    double (* function)(double [] );
       if (fabs(fptt-(*fret)) > del) {  } myfunc_data ;
         del=fabs(fptt-(*fret));  #endif
         ibig=i;  
       }  /* #include <libintl.h> */
 #ifdef DEBUG  /* #define _(String) gettext (String) */
       printf("%d %.12e",i,(*fret));  
       for (j=1;j<=n;j++) {  #define MAXLINE 1024 /* Was 256. Overflow with 312 with 2 states and 4 covariates. Should be ok */
         xits[j]=FMAX(fabs(p[j]-pt[j]),1.e-5);  
         printf(" x(%d)=%.12e",j,xit[j]);  #define GNUPLOTPROGRAM "gnuplot"
       }  /*#define GNUPLOTPROGRAM "..\\gp37mgw\\wgnuplot"*/
       for(j=1;j<=n;j++)  #define FILENAMELENGTH 132
         printf(" p=%.12e",p[j]);  
       printf("\n");  #define GLOCK_ERROR_NOPATH              -1      /* empty path */
 #endif  #define GLOCK_ERROR_GETCWD              -2      /* cannot get cwd */
     }  
     if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret))) {  #define MAXPARM 128 /**< Maximum number of parameters for the optimization */
 #ifdef DEBUG  #define NPARMAX 64 /**< (nlstate+ndeath-1)*nlstate*ncovmodel */
       int k[2],l;  
       k[0]=1;  #define NINTERVMAX 8
       k[1]=-1;  #define NLSTATEMAX 8 /**< Maximum number of live states (for func) */
       printf("Max: %.12e",(*func)(p));  #define NDEATHMAX 8 /**< Maximum number of dead states (for func) */
       for (j=1;j<=n;j++)  #define NCOVMAX 20 /**< Maximum number of covariates, including generated covariates V1*V2 */
         printf(" %.12e",p[j]);  #define codtabm(h,k)  1 & (h-1) >> (k-1) ;
       printf("\n");  #define MAXN 20000
       for(l=0;l<=1;l++) {  #define YEARM 12. /**< Number of months per year */
         for (j=1;j<=n;j++) {  #define AGESUP 130
           ptt[j]=p[j]+(p[j]-pt[j])*k[l];  #define AGEBASE 40
           printf("l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);  #define AGEGOMP 10 /**< Minimal age for Gompertz adjustment */
         }  #ifdef _WIN32
         printf("func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));  #define DIRSEPARATOR '\\'
       }  #define CHARSEPARATOR "\\"
 #endif  #define ODIRSEPARATOR '/'
   #else
   #define DIRSEPARATOR '/'
       free_vector(xit,1,n);  #define CHARSEPARATOR "/"
       free_vector(xits,1,n);  #define ODIRSEPARATOR '\\'
       free_vector(ptt,1,n);  #endif
       free_vector(pt,1,n);  
       return;  /* $Id$ */
     }  /* $State$ */
     if (*iter == ITMAX) nrerror("powell exceeding maximum iterations.");  
     for (j=1;j<=n;j++) {  char version[]="Imach version 0.98p, December 2014,INED-EUROREVES-Institut de longevite-Japan Society for the Promotion of Science (Grant-in-Aid for Scientific Research 25293121), Intel Software 2015";
       ptt[j]=2.0*p[j]-pt[j];  char fullversion[]="$Revision$ $Date$"; 
       xit[j]=p[j]-pt[j];  char strstart[80];
       pt[j]=p[j];  char optionfilext[10], optionfilefiname[FILENAMELENGTH];
     }  int erreur=0, nberr=0, nbwarn=0; /* Error number, number of errors number of warnings  */
     fptt=(*func)(ptt);  int nvar=0, nforce=0; /* Number of variables, number of forces */
     if (fptt < fp) {  /* Number of covariates model=V2+V1+ V3*age+V2*V4 */
       t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)-del*SQR(fp-fptt);  int cptcovn=0; /**< cptcovn number of covariates added in the model (excepting constant and age and age*product) */
       if (t < 0.0) {  int cptcovt=0; /**< cptcovt number of covariates added in the model (excepting constant and age) */
         linmin(p,xit,n,fret,func);  int cptcovs=0; /**< cptcovs number of simple covariates V2+V1 =2 */
         for (j=1;j<=n;j++) {  int cptcovage=0; /**< Number of covariates with age: V3*age only =1 */
           xi[j][ibig]=xi[j][n];  int cptcovprodnoage=0; /**< Number of covariate products without age */   
           xi[j][n]=xit[j];  int cptcoveff=0; /* Total number of covariates to vary for printing results */
         }  int cptcov=0; /* Working variable */
 #ifdef DEBUG  int npar=NPARMAX;
         printf("Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);  int nlstate=2; /* Number of live states */
         for(j=1;j<=n;j++)  int ndeath=1; /* Number of dead states */
           printf(" %.12e",xit[j]);  int ncovmodel=0, ncovcol=0;     /* Total number of covariables including constant a12*1 +b12*x ncovmodel=2 */
         printf("\n");  int popbased=0;
 #endif  
       }  int *wav; /* Number of waves for this individuual 0 is possible */
     }  int maxwav=0; /* Maxim number of waves */
   }  int jmin=0, jmax=0; /* min, max spacing between 2 waves */
 }  int ijmin=0, ijmax=0; /* Individuals having jmin and jmax */ 
   int gipmx=0, gsw=0; /* Global variables on the number of contributions 
 /**** Prevalence limit ****************/                     to the likelihood and the sum of weights (done by funcone)*/
   int mle=1, weightopt=0;
 double **prevalim(double **prlim, int nlstate, double x[], double age, double **oldm, double **savm, double ftolpl, int ij)  int **mw; /* mw[mi][i] is number of the mi wave for this individual */
 {  int **dh; /* dh[mi][i] is number of steps between mi,mi+1 for this individual */
   /* Computes the prevalence limit in each live state at age x by left multiplying the unit  int **bh; /* bh[mi][i] is the bias (+ or -) for this individual if the delay between
      matrix by transitions matrix until convergence is reached */             * wave mi and wave mi+1 is not an exact multiple of stepm. */
   int countcallfunc=0;  /* Count the number of calls to func */
   int i, ii,j,k;  double jmean=1; /* Mean space between 2 waves */
   double min, max, maxmin, maxmax,sumnew=0.;  double **matprod2(); /* test */
   double **matprod2();  double **oldm, **newm, **savm; /* Working pointers to matrices */
   double **out, cov[NCOVMAX], **pmij();  double **oldms, **newms, **savms; /* Fixed working pointers to matrices */
   double **newm;  /*FILE *fic ; */ /* Used in readdata only */
   double agefin, delaymax=50 ; /* Max number of years to converge */  FILE *ficpar, *ficparo,*ficres, *ficresp, *ficrespl, *ficrespij, *ficrest,*ficresf,*ficrespop;
   FILE *ficlog, *ficrespow;
   for (ii=1;ii<=nlstate+ndeath;ii++)  int globpr=0; /* Global variable for printing or not */
     for (j=1;j<=nlstate+ndeath;j++){  double fretone; /* Only one call to likelihood */
       oldm[ii][j]=(ii==j ? 1.0 : 0.0);  long ipmx=0; /* Number of contributions */
     }  double sw; /* Sum of weights */
   char filerespow[FILENAMELENGTH];
    cov[1]=1.;  char fileresilk[FILENAMELENGTH]; /* File of individual contributions to the likelihood */
    FILE *ficresilk;
  /* Even if hstepm = 1, at least one multiplication by the unit matrix */  FILE *ficgp,*ficresprob,*ficpop, *ficresprobcov, *ficresprobcor;
   for(agefin=age-stepm/YEARM; agefin>=age-delaymax; agefin=agefin-stepm/YEARM){  FILE *ficresprobmorprev;
     newm=savm;  FILE *fichtm, *fichtmcov; /* Html File */
     /* Covariates have to be included here again */  FILE *ficreseij;
      cov[2]=agefin;  char filerese[FILENAMELENGTH];
    FILE *ficresstdeij;
       for (k=1; k<=cptcovn;k++) {  char fileresstde[FILENAMELENGTH];
         cov[2+k]=nbcode[Tvar[k]][codtab[ij][Tvar[k]]];  FILE *ficrescveij;
         /*printf("ij=%d Tvar[k]=%d nbcode=%d cov=%lf\n",ij, Tvar[k],nbcode[Tvar[k]][codtab[ij][Tvar[k]]],cov[2+k]);*/  char filerescve[FILENAMELENGTH];
       }  FILE  *ficresvij;
       for (k=1; k<=cptcovage;k++)  char fileresv[FILENAMELENGTH];
         cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2];  FILE  *ficresvpl;
       for (k=1; k<=cptcovprod;k++)  char fileresvpl[FILENAMELENGTH];
         cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]]*nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]];  char title[MAXLINE];
   char optionfile[FILENAMELENGTH], datafile[FILENAMELENGTH],  filerespl[FILENAMELENGTH];
       /*printf("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/  char plotcmd[FILENAMELENGTH], pplotcmd[FILENAMELENGTH];
       /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/  char tmpout[FILENAMELENGTH],  tmpout2[FILENAMELENGTH]; 
   char command[FILENAMELENGTH];
     out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm);  int  outcmd=0;
   
     savm=oldm;  char fileres[FILENAMELENGTH], filerespij[FILENAMELENGTH], filereso[FILENAMELENGTH], rfileres[FILENAMELENGTH];
     oldm=newm;  
     maxmax=0.;  char filelog[FILENAMELENGTH]; /* Log file */
     for(j=1;j<=nlstate;j++){  char filerest[FILENAMELENGTH];
       min=1.;  char fileregp[FILENAMELENGTH];
       max=0.;  char popfile[FILENAMELENGTH];
       for(i=1; i<=nlstate; i++) {  
         sumnew=0;  char optionfilegnuplot[FILENAMELENGTH], optionfilehtm[FILENAMELENGTH], optionfilehtmcov[FILENAMELENGTH] ;
         for(k=1; k<=ndeath; k++) sumnew+=newm[i][nlstate+k];  
         prlim[i][j]= newm[i][j]/(1-sumnew);  /* struct timeval start_time, end_time, curr_time, last_time, forecast_time; */
         max=FMAX(max,prlim[i][j]);  /* struct timezone tzp; */
         min=FMIN(min,prlim[i][j]);  /* extern int gettimeofday(); */
       }  struct tm tml, *gmtime(), *localtime();
       maxmin=max-min;  
       maxmax=FMAX(maxmax,maxmin);  extern time_t time();
     }  
     if(maxmax < ftolpl){  struct tm start_time, end_time, curr_time, last_time, forecast_time;
       return prlim;  time_t  rstart_time, rend_time, rcurr_time, rlast_time, rforecast_time; /* raw time */
     }  struct tm tm;
   }  
 }  char strcurr[80], strfor[80];
   
 /*************** transition probabilities ***************/  char *endptr;
   long lval;
 double **pmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )  double dval;
 {  
   double s1, s2;  #define NR_END 1
   /*double t34;*/  #define FREE_ARG char*
   int i,j,j1, nc, ii, jj;  #define FTOL 1.0e-10
   
     for(i=1; i<= nlstate; i++){  #define NRANSI 
     for(j=1; j<i;j++){  #define ITMAX 200 
       for (nc=1, s2=0.;nc <=ncovmodel; nc++){  
         /*s2 += param[i][j][nc]*cov[nc];*/  #define TOL 2.0e-4 
         s2 += x[(i-1)*nlstate*ncovmodel+(j-1)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];  
         /*printf("Int j<i s1=%.17e, s2=%.17e\n",s1,s2);*/  #define CGOLD 0.3819660 
       }  #define ZEPS 1.0e-10 
       ps[i][j]=s2;  #define SHFT(a,b,c,d) (a)=(b);(b)=(c);(c)=(d); 
       /*printf("s1=%.17e, s2=%.17e\n",s1,s2);*/  
     }  #define GOLD 1.618034 
     for(j=i+1; j<=nlstate+ndeath;j++){  #define GLIMIT 100.0 
       for (nc=1, s2=0.;nc <=ncovmodel; nc++){  #define TINY 1.0e-20 
         s2 += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];  
         /*printf("Int j>i s1=%.17e, s2=%.17e %lx %lx\n",s1,s2,s1,s2);*/  static double maxarg1,maxarg2;
       }  #define FMAX(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)>(maxarg2)? (maxarg1):(maxarg2))
       ps[i][j]=s2;  #define FMIN(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)<(maxarg2)? (maxarg1):(maxarg2))
     }    
   }  #define SIGN(a,b) ((b)>0.0 ? fabs(a) : -fabs(a))
     /*ps[3][2]=1;*/  #define rint(a) floor(a+0.5)
   /* http://www.thphys.uni-heidelberg.de/~robbers/cmbeasy/doc/html/myutils_8h-source.html */
   for(i=1; i<= nlstate; i++){  /* #define mytinydouble 1.0e-16 */
      s1=0;  /* #define DEQUAL(a,b) (fabs((a)-(b))<mytinydouble) */
     for(j=1; j<i; j++)  /* http://www.thphys.uni-heidelberg.de/~robbers/cmbeasy/doc/html/mynrutils_8h-source.html */
       s1+=exp(ps[i][j]);  /* static double dsqrarg; */
     for(j=i+1; j<=nlstate+ndeath; j++)  /* #define DSQR(a) (DEQUAL((dsqrarg=(a)),0.0) ? 0.0 : dsqrarg*dsqrarg) */
       s1+=exp(ps[i][j]);  static double sqrarg;
     ps[i][i]=1./(s1+1.);  #define SQR(a) ((sqrarg=(a)) == 0.0 ? 0.0 :sqrarg*sqrarg)
     for(j=1; j<i; j++)  #define SWAP(a,b) {temp=(a);(a)=(b);(b)=temp;} 
       ps[i][j]= exp(ps[i][j])*ps[i][i];  int agegomp= AGEGOMP;
     for(j=i+1; j<=nlstate+ndeath; j++)  
       ps[i][j]= exp(ps[i][j])*ps[i][i];  int imx; 
     /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */  int stepm=1;
   } /* end i */  /* Stepm, step in month: minimum step interpolation*/
   
   for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){  int estepm;
     for(jj=1; jj<= nlstate+ndeath; jj++){  /* Estepm, step in month to interpolate survival function in order to approximate Life Expectancy*/
       ps[ii][jj]=0;  
       ps[ii][ii]=1;  int m,nb;
     }  long *num;
   }  int firstpass=0, lastpass=4,*cod, *ncodemax, *Tage,*cens;
   double **agev,*moisnais, *annais, *moisdc, *andc,**mint, **anint;
   double **pmmij, ***probs;
   /*   for(ii=1; ii<= nlstate+ndeath; ii++){  double *ageexmed,*agecens;
     for(jj=1; jj<= nlstate+ndeath; jj++){  double dateintmean=0;
      printf("%lf ",ps[ii][jj]);  
    }  double *weight;
     printf("\n ");  int **s; /* Status */
     }  double *agedc;
     printf("\n ");printf("%lf ",cov[2]);*/  double  **covar; /**< covar[j,i], value of jth covariate for individual i,
 /*                    * covar=matrix(0,NCOVMAX,1,n); 
   for(i=1; i<= npar; i++) printf("%f ",x[i]);                    * cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2]; */
   goto end;*/  double  idx; 
     return ps;  int **nbcode, *Tvar; /**< model=V2 => Tvar[1]= 2 */
 }  int *Ndum; /** Freq of modality (tricode */
   int **codtab; /**< codtab=imatrix(1,100,1,10); */
 /**************** Product of 2 matrices ******************/  int **Tvard, *Tprod, cptcovprod, *Tvaraff;
   double *lsurv, *lpop, *tpop;
 double **matprod2(double **out, double **in,long nrl, long nrh, long ncl, long nch, long ncolol, long ncoloh, double **b)  
 {  double ftol=FTOL; /**< Tolerance for computing Max Likelihood */
   /* Computes the matrix product of in(1,nrh-nrl+1)(1,nch-ncl+1) times  double ftolhess; /**< Tolerance for computing hessian */
      b(1,nch-ncl+1)(1,ncoloh-ncolol+1) into out(...) */  
   /* in, b, out are matrice of pointers which should have been initialized  /**************** split *************************/
      before: only the contents of out is modified. The function returns  static  int split( char *path, char *dirc, char *name, char *ext, char *finame )
      a pointer to pointers identical to out */  {
   long i, j, k;    /* From a file name with (full) path (either Unix or Windows) we extract the directory (dirc)
   for(i=nrl; i<= nrh; i++)       the name of the file (name), its extension only (ext) and its first part of the name (finame)
     for(k=ncolol; k<=ncoloh; k++)    */ 
       for(j=ncl,out[i][k]=0.; j<=nch; j++)    char  *ss;                            /* pointer */
         out[i][k] +=in[i][j]*b[j][k];    int   l1, l2;                         /* length counters */
   
   return out;    l1 = strlen(path );                   /* length of path */
 }    if ( l1 == 0 ) return( GLOCK_ERROR_NOPATH );
     ss= strrchr( path, DIRSEPARATOR );            /* find last / */
     if ( ss == NULL ) {                   /* no directory, so determine current directory */
 /************* Higher Matrix Product ***************/      strcpy( name, path );               /* we got the fullname name because no directory */
       /*if(strrchr(path, ODIRSEPARATOR )==NULL)
 double ***hpxij(double ***po, int nhstepm, double age, int hstepm, double *x, int nlstate, int stepm, double **oldm, double **savm, int ij )        printf("Warning you should use %s as a separator\n",DIRSEPARATOR);*/
 {      /* get current working directory */
   /* Computes the transition matrix starting at age 'age' over 'nhstepm*hstepm*stepm' month      /*    extern  char* getcwd ( char *buf , int len);*/
      duration (i.e. until      if ( getcwd( dirc, FILENAME_MAX ) == NULL ) {
      age (in years)  age+nhstepm*stepm/12) by multiplying nhstepm*hstepm matrices.        return( GLOCK_ERROR_GETCWD );
      Output is stored in matrix po[i][j][h] for h every 'hstepm' step      }
      (typically every 2 years instead of every month which is too big).      /* got dirc from getcwd*/
      Model is determined by parameters x and covariates have to be      printf(" DIRC = %s \n",dirc);
      included manually here.    } else {                              /* strip direcotry from path */
       ss++;                               /* after this, the filename */
      */      l2 = strlen( ss );                  /* length of filename */
       if ( l2 == 0 ) return( GLOCK_ERROR_NOPATH );
   int i, j, d, h, k;      strcpy( name, ss );         /* save file name */
   double **out, cov[NCOVMAX];      strncpy( dirc, path, l1 - l2 );     /* now the directory */
   double **newm;      dirc[l1-l2] = 0;                    /* add zero */
       printf(" DIRC2 = %s \n",dirc);
   /* Hstepm could be zero and should return the unit matrix */    }
   for (i=1;i<=nlstate+ndeath;i++)    /* We add a separator at the end of dirc if not exists */
     for (j=1;j<=nlstate+ndeath;j++){    l1 = strlen( dirc );                  /* length of directory */
       oldm[i][j]=(i==j ? 1.0 : 0.0);    if( dirc[l1-1] != DIRSEPARATOR ){
       po[i][j][0]=(i==j ? 1.0 : 0.0);      dirc[l1] =  DIRSEPARATOR;
     }      dirc[l1+1] = 0; 
   /* Even if hstepm = 1, at least one multiplication by the unit matrix */      printf(" DIRC3 = %s \n",dirc);
   for(h=1; h <=nhstepm; h++){    }
     for(d=1; d <=hstepm; d++){    ss = strrchr( name, '.' );            /* find last / */
       newm=savm;    if (ss >0){
       /* Covariates have to be included here again */      ss++;
       cov[1]=1.;      strcpy(ext,ss);                     /* save extension */
       cov[2]=age+((h-1)*hstepm + (d-1))*stepm/YEARM;      l1= strlen( name);
       for (k=1; k<=cptcovn;k++) cov[2+k]=nbcode[Tvar[k]][codtab[ij][Tvar[k]]];      l2= strlen(ss)+1;
       for (k=1; k<=cptcovage;k++)      strncpy( finame, name, l1-l2);
         cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2];      finame[l1-l2]= 0;
       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]]];  
     return( 0 );                          /* we're done */
   }
       /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/  
       /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/  
       out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath,  /******************************************/
                    pmij(pmmij,cov,ncovmodel,x,nlstate));  
       savm=oldm;  void replace_back_to_slash(char *s, char*t)
       oldm=newm;  {
     }    int i;
     for(i=1; i<=nlstate+ndeath; i++)    int lg=0;
       for(j=1;j<=nlstate+ndeath;j++) {    i=0;
         po[i][j][h]=newm[i][j];    lg=strlen(t);
         /*printf("i=%d j=%d h=%d po[i][j][h]=%f ",i,j,h,po[i][j][h]);    for(i=0; i<= lg; i++) {
          */      (s[i] = t[i]);
       }      if (t[i]== '\\') s[i]='/';
   } /* end h */    }
   return po;  }
 }  
   char *trimbb(char *out, char *in)
   { /* Trim multiple blanks in line but keeps first blanks if line starts with blanks */
 /*************** log-likelihood *************/    char *s;
 double func( double *x)    s=out;
 {    while (*in != '\0'){
   int i, ii, j, k, mi, d, kk;      while( *in == ' ' && *(in+1) == ' '){ /* && *(in+1) != '\0'){*/
   double l, ll[NLSTATEMAX], cov[NCOVMAX];        in++;
   double **out;      }
   double sw; /* Sum of weights */      *out++ = *in++;
   double lli; /* Individual log likelihood */    }
   long ipmx;    *out='\0';
   /*extern weight */    return s;
   /* We are differentiating ll according to initial status */  }
   /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/  
   /*for(i=1;i<imx;i++)  char *cutl(char *blocc, char *alocc, char *in, char occ)
     printf(" %d\n",s[4][i]);  {
   */    /* cuts string in into blocc and alocc where blocc ends before first occurence of char 'occ' 
   cov[1]=1.;       and alocc starts after first occurence of char 'occ' : ex cutv(blocc,alocc,"abcdef2ghi2j",'2')
        gives blocc="abcdef2ghi" and alocc="j".
   for(k=1; k<=nlstate; k++) ll[k]=0.;       If occ is not found blocc is null and alocc is equal to in. Returns blocc
   for (i=1,ipmx=0, sw=0.; i<=imx; i++){    */
     for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];    char *s, *t;
     for(mi=1; mi<= wav[i]-1; mi++){    t=in;s=in;
       for (ii=1;ii<=nlstate+ndeath;ii++)    while ((*in != occ) && (*in != '\0')){
         for (j=1;j<=nlstate+ndeath;j++) oldm[ii][j]=(ii==j ? 1.0 : 0.0);      *alocc++ = *in++;
       for(d=0; d<dh[mi][i]; d++){    }
         newm=savm;    if( *in == occ){
         cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;      *(alocc)='\0';
         for (kk=1; kk<=cptcovage;kk++) {      s=++in;
           cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];    }
         }   
            if (s == t) {/* occ not found */
         out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,      *(alocc-(in-s))='\0';
                      1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));      in=s;
         savm=oldm;    }
         oldm=newm;    while ( *in != '\0'){
              *blocc++ = *in++;
            }
       } /* end mult */  
          *blocc='\0';
       lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);    return t;
       /* printf(" %f ",out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);*/  }
       ipmx +=1;  char *cutv(char *blocc, char *alocc, char *in, char occ)
       sw += weight[i];  {
       ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;    /* cuts string in into blocc and alocc where blocc ends before last occurence of char 'occ' 
     } /* end of wave */       and alocc starts after last occurence of char 'occ' : ex cutv(blocc,alocc,"abcdef2ghi2j",'2')
   } /* end of individual */       gives blocc="abcdef2ghi" and alocc="j".
        If occ is not found blocc is null and alocc is equal to in. Returns alocc
   for(k=1,l=0.; k<=nlstate; k++) l += ll[k];    */
   /* printf("l1=%f l2=%f ",ll[1],ll[2]); */    char *s, *t;
   l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */    t=in;s=in;
   return -l;    while (*in != '\0'){
 }      while( *in == occ){
         *blocc++ = *in++;
         s=in;
 /*********** Maximum Likelihood Estimation ***************/      }
       *blocc++ = *in++;
 void mlikeli(FILE *ficres,double p[], int npar, int ncovmodel, int nlstate, double ftol, double (*func)(double []))    }
 {    if (s == t) /* occ not found */
   int i,j, iter;      *(blocc-(in-s))='\0';
   double **xi,*delti;    else
   double fret;      *(blocc-(in-s)-1)='\0';
   xi=matrix(1,npar,1,npar);    in=s;
   for (i=1;i<=npar;i++)    while ( *in != '\0'){
     for (j=1;j<=npar;j++)      *alocc++ = *in++;
       xi[i][j]=(i==j ? 1.0 : 0.0);    }
   printf("Powell\n");  
   powell(p,xi,npar,ftol,&iter,&fret,func);    *alocc='\0';
     return s;
    printf("\n#Number of iterations = %d, -2 Log likelihood = %.12f\n",iter,func(p));  }
   fprintf(ficres,"#Number of iterations = %d, -2 Log likelihood = %.12f \n",iter,func(p));  
   int nbocc(char *s, char occ)
 }  {
     int i,j=0;
 /**** Computes Hessian and covariance matrix ***/    int lg=20;
 void hesscov(double **matcov, double p[], int npar, double delti[], double ftolhess, double (*func)(double []))    i=0;
 {    lg=strlen(s);
   double  **a,**y,*x,pd;    for(i=0; i<= lg; i++) {
   double **hess;    if  (s[i] == occ ) j++;
   int i, j,jk;    }
   int *indx;    return j;
   }
   double hessii(double p[], double delta, int theta, double delti[]);  
   double hessij(double p[], double delti[], int i, int j);  /* void cutv(char *u,char *v, char*t, char occ) */
   void lubksb(double **a, int npar, int *indx, double b[]) ;  /* { */
   void ludcmp(double **a, int npar, int *indx, double *d) ;  /*   /\* cuts string t into u and v where u ends before last occurence of char 'occ'  */
   /*      and v starts after last occurence of char 'occ' : ex cutv(u,v,"abcdef2ghi2j",'2') */
   hess=matrix(1,npar,1,npar);  /*      gives u="abcdef2ghi" and v="j" *\/ */
   /*   int i,lg,j,p=0; */
   printf("\nCalculation of the hessian matrix. Wait...\n");  /*   i=0; */
   for (i=1;i<=npar;i++){  /*   lg=strlen(t); */
     printf("%d",i);fflush(stdout);  /*   for(j=0; j<=lg-1; j++) { */
     hess[i][i]=hessii(p,ftolhess,i,delti);  /*     if((t[j]!= occ) && (t[j+1]== occ)) p=j+1; */
     /*printf(" %f ",p[i]);*/  /*   } */
     /*printf(" %lf ",hess[i][i]);*/  
   }  /*   for(j=0; j<p; j++) { */
    /*     (u[j] = t[j]); */
   for (i=1;i<=npar;i++) {  /*   } */
     for (j=1;j<=npar;j++)  {  /*      u[p]='\0'; */
       if (j>i) {  
         printf(".%d%d",i,j);fflush(stdout);  /*    for(j=0; j<= lg; j++) { */
         hess[i][j]=hessij(p,delti,i,j);  /*     if (j>=(p+1))(v[j-p-1] = t[j]); */
         hess[j][i]=hess[i][j];      /*   } */
         /*printf(" %lf ",hess[i][j]);*/  /* } */
       }  
     }  #ifdef _WIN32
   }  char * strsep(char **pp, const char *delim)
   printf("\n");  {
     char *p, *q;
   printf("\nInverting the hessian to get the covariance matrix. Wait...\n");           
      if ((p = *pp) == NULL)
   a=matrix(1,npar,1,npar);      return 0;
   y=matrix(1,npar,1,npar);    if ((q = strpbrk (p, delim)) != NULL)
   x=vector(1,npar);    {
   indx=ivector(1,npar);      *pp = q + 1;
   for (i=1;i<=npar;i++)      *q = '\0';
     for (j=1;j<=npar;j++) a[i][j]=hess[i][j];    }
   ludcmp(a,npar,indx,&pd);    else
       *pp = 0;
   for (j=1;j<=npar;j++) {    return p;
     for (i=1;i<=npar;i++) x[i]=0;  }
     x[j]=1;  #endif
     lubksb(a,npar,indx,x);  
     for (i=1;i<=npar;i++){  /********************** nrerror ********************/
       matcov[i][j]=x[i];  
     }  void nrerror(char error_text[])
   }  {
     fprintf(stderr,"ERREUR ...\n");
   printf("\n#Hessian matrix#\n");    fprintf(stderr,"%s\n",error_text);
   for (i=1;i<=npar;i++) {    exit(EXIT_FAILURE);
     for (j=1;j<=npar;j++) {  }
       printf("%.3e ",hess[i][j]);  /*********************** vector *******************/
     }  double *vector(int nl, int nh)
     printf("\n");  {
   }    double *v;
     v=(double *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(double)));
   /* Recompute Inverse */    if (!v) nrerror("allocation failure in vector");
   for (i=1;i<=npar;i++)    return v-nl+NR_END;
     for (j=1;j<=npar;j++) a[i][j]=matcov[i][j];  }
   ludcmp(a,npar,indx,&pd);  
   /************************ free vector ******************/
   /*  printf("\n#Hessian matrix recomputed#\n");  void free_vector(double*v, int nl, int nh)
   {
   for (j=1;j<=npar;j++) {    free((FREE_ARG)(v+nl-NR_END));
     for (i=1;i<=npar;i++) x[i]=0;  }
     x[j]=1;  
     lubksb(a,npar,indx,x);  /************************ivector *******************************/
     for (i=1;i<=npar;i++){  int *ivector(long nl,long nh)
       y[i][j]=x[i];  {
       printf("%.3e ",y[i][j]);    int *v;
     }    v=(int *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(int)));
     printf("\n");    if (!v) nrerror("allocation failure in ivector");
   }    return v-nl+NR_END;
   */  }
   
   free_matrix(a,1,npar,1,npar);  /******************free ivector **************************/
   free_matrix(y,1,npar,1,npar);  void free_ivector(int *v, long nl, long nh)
   free_vector(x,1,npar);  {
   free_ivector(indx,1,npar);    free((FREE_ARG)(v+nl-NR_END));
   free_matrix(hess,1,npar,1,npar);  }
   
   /************************lvector *******************************/
 }  long *lvector(long nl,long nh)
   {
 /*************** hessian matrix ****************/    long *v;
 double hessii( double x[], double delta, int theta, double delti[])    v=(long *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(long)));
 {    if (!v) nrerror("allocation failure in ivector");
   int i;    return v-nl+NR_END;
   int l=1, lmax=20;  }
   double k1,k2;  
   double p2[NPARMAX+1];  /******************free lvector **************************/
   double res;  void free_lvector(long *v, long nl, long nh)
   double delt, delts, nkhi=10.,nkhif=1., khi=1.e-4;  {
   double fx;    free((FREE_ARG)(v+nl-NR_END));
   int k=0,kmax=10;  }
   double l1;  
   /******************* imatrix *******************************/
   fx=func(x);  int **imatrix(long nrl, long nrh, long ncl, long nch) 
   for (i=1;i<=npar;i++) p2[i]=x[i];       /* allocate a int matrix with subscript range m[nrl..nrh][ncl..nch] */ 
   for(l=0 ; l <=lmax; l++){  { 
     l1=pow(10,l);    long i, nrow=nrh-nrl+1,ncol=nch-ncl+1; 
     delts=delt;    int **m; 
     for(k=1 ; k <kmax; k=k+1){    
       delt = delta*(l1*k);    /* allocate pointers to rows */ 
       p2[theta]=x[theta] +delt;    m=(int **) malloc((size_t)((nrow+NR_END)*sizeof(int*))); 
       k1=func(p2)-fx;    if (!m) nrerror("allocation failure 1 in matrix()"); 
       p2[theta]=x[theta]-delt;    m += NR_END; 
       k2=func(p2)-fx;    m -= nrl; 
       /*res= (k1-2.0*fx+k2)/delt/delt; */    
       res= (k1+k2)/delt/delt/2.; /* Divided by because L and not 2*L */    
          /* allocate rows and set pointers to them */ 
 #ifdef DEBUG    m[nrl]=(int *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(int))); 
       printf("%d %d k1=%.12e k2=%.12e xk1=%.12e xk2=%.12e delt=%.12e res=%.12e l=%d k=%d,fx=%.12e\n",theta,theta,k1,k2,x[theta]+delt,x[theta]-delt,delt,res, l, k,fx);    if (!m[nrl]) nrerror("allocation failure 2 in matrix()"); 
 #endif    m[nrl] += NR_END; 
       /*if(fabs(k1-2.0*fx+k2) <1.e-13){ */    m[nrl] -= ncl; 
       if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)){    
         k=kmax;    for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol; 
       }    
       else if((k1 >khi/nkhif) || (k2 >khi/nkhif)){ /* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. */    /* return pointer to array of pointers to rows */ 
         k=kmax; l=lmax*10.;    return m; 
       }  } 
       else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){  
         delts=delt;  /****************** free_imatrix *************************/
       }  void free_imatrix(m,nrl,nrh,ncl,nch)
     }        int **m;
   }        long nch,ncl,nrh,nrl; 
   delti[theta]=delts;       /* free an int matrix allocated by imatrix() */ 
   return res;  { 
      free((FREE_ARG) (m[nrl]+ncl-NR_END)); 
 }    free((FREE_ARG) (m+nrl-NR_END)); 
   } 
 double hessij( double x[], double delti[], int thetai,int thetaj)  
 {  /******************* matrix *******************************/
   int i;  double **matrix(long nrl, long nrh, long ncl, long nch)
   int l=1, l1, lmax=20;  {
   double k1,k2,k3,k4,res,fx;    long i, nrow=nrh-nrl+1, ncol=nch-ncl+1;
   double p2[NPARMAX+1];    double **m;
   int k;  
     m=(double **) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
   fx=func(x);    if (!m) nrerror("allocation failure 1 in matrix()");
   for (k=1; k<=2; k++) {    m += NR_END;
     for (i=1;i<=npar;i++) p2[i]=x[i];    m -= nrl;
     p2[thetai]=x[thetai]+delti[thetai]/k;  
     p2[thetaj]=x[thetaj]+delti[thetaj]/k;    m[nrl]=(double *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
     k1=func(p2)-fx;    if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
      m[nrl] += NR_END;
     p2[thetai]=x[thetai]+delti[thetai]/k;    m[nrl] -= ncl;
     p2[thetaj]=x[thetaj]-delti[thetaj]/k;  
     k2=func(p2)-fx;    for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
      return m;
     p2[thetai]=x[thetai]-delti[thetai]/k;    /* print *(*(m+1)+70) or print m[1][70]; print m+1 or print &(m[1]) or &(m[1][0])
     p2[thetaj]=x[thetaj]+delti[thetaj]/k;  m[i] = address of ith row of the table. &(m[i]) is its value which is another adress
     k3=func(p2)-fx;  that of m[i][0]. In order to get the value p m[i][0] but it is unitialized.
       */
     p2[thetai]=x[thetai]-delti[thetai]/k;  }
     p2[thetaj]=x[thetaj]-delti[thetaj]/k;  
     k4=func(p2)-fx;  /*************************free matrix ************************/
     res=(k1-k2-k3+k4)/4.0/delti[thetai]*k/delti[thetaj]*k/2.; /* Because of L not 2*L */  void free_matrix(double **m, long nrl, long nrh, long ncl, long nch)
 #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((FREE_ARG)(m[nrl]+ncl-NR_END));
 #endif    free((FREE_ARG)(m+nrl-NR_END));
   }  }
   return res;  
 }  /******************* ma3x *******************************/
   double ***ma3x(long nrl, long nrh, long ncl, long nch, long nll, long nlh)
 /************** Inverse of matrix **************/  {
 void ludcmp(double **a, int n, int *indx, double *d)    long i, j, nrow=nrh-nrl+1, ncol=nch-ncl+1, nlay=nlh-nll+1;
 {    double ***m;
   int i,imax,j,k;  
   double big,dum,sum,temp;    m=(double ***) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
   double *vv;    if (!m) nrerror("allocation failure 1 in matrix()");
      m += NR_END;
   vv=vector(1,n);    m -= nrl;
   *d=1.0;  
   for (i=1;i<=n;i++) {    m[nrl]=(double **) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
     big=0.0;    if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
     for (j=1;j<=n;j++)    m[nrl] += NR_END;
       if ((temp=fabs(a[i][j])) > big) big=temp;    m[nrl] -= ncl;
     if (big == 0.0) nrerror("Singular matrix in routine ludcmp");  
     vv[i]=1.0/big;    for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
   }  
   for (j=1;j<=n;j++) {    m[nrl][ncl]=(double *) malloc((size_t)((nrow*ncol*nlay+NR_END)*sizeof(double)));
     for (i=1;i<j;i++) {    if (!m[nrl][ncl]) nrerror("allocation failure 3 in matrix()");
       sum=a[i][j];    m[nrl][ncl] += NR_END;
       for (k=1;k<i;k++) sum -= a[i][k]*a[k][j];    m[nrl][ncl] -= nll;
       a[i][j]=sum;    for (j=ncl+1; j<=nch; j++) 
     }      m[nrl][j]=m[nrl][j-1]+nlay;
     big=0.0;    
     for (i=j;i<=n;i++) {    for (i=nrl+1; i<=nrh; i++) {
       sum=a[i][j];      m[i][ncl]=m[i-1l][ncl]+ncol*nlay;
       for (k=1;k<j;k++)      for (j=ncl+1; j<=nch; j++) 
         sum -= a[i][k]*a[k][j];        m[i][j]=m[i][j-1]+nlay;
       a[i][j]=sum;    }
       if ( (dum=vv[i]*fabs(sum)) >= big) {    return m; 
         big=dum;    /*  gdb: p *(m+1) <=> p m[1] and p (m+1) <=> p (m+1) <=> p &(m[1])
         imax=i;             &(m[i][j][k]) <=> *((*(m+i) + j)+k)
       }    */
     }  }
     if (j != imax) {  
       for (k=1;k<=n;k++) {  /*************************free ma3x ************************/
         dum=a[imax][k];  void free_ma3x(double ***m, long nrl, long nrh, long ncl, long nch,long nll, long nlh)
         a[imax][k]=a[j][k];  {
         a[j][k]=dum;    free((FREE_ARG)(m[nrl][ncl]+ nll-NR_END));
       }    free((FREE_ARG)(m[nrl]+ncl-NR_END));
       *d = -(*d);    free((FREE_ARG)(m+nrl-NR_END));
       vv[imax]=vv[j];  }
     }  
     indx[j]=imax;  /*************** function subdirf ***********/
     if (a[j][j] == 0.0) a[j][j]=TINY;  char *subdirf(char fileres[])
     if (j != n) {  {
       dum=1.0/(a[j][j]);    /* Caution optionfilefiname is hidden */
       for (i=j+1;i<=n;i++) a[i][j] *= dum;    strcpy(tmpout,optionfilefiname);
     }    strcat(tmpout,"/"); /* Add to the right */
   }    strcat(tmpout,fileres);
   free_vector(vv,1,n);  /* Doesn't work */    return tmpout;
 ;  }
 }  
   /*************** function subdirf2 ***********/
 void lubksb(double **a, int n, int *indx, double b[])  char *subdirf2(char fileres[], char *preop)
 {  {
   int i,ii=0,ip,j;    
   double sum;    /* Caution optionfilefiname is hidden */
      strcpy(tmpout,optionfilefiname);
   for (i=1;i<=n;i++) {    strcat(tmpout,"/");
     ip=indx[i];    strcat(tmpout,preop);
     sum=b[ip];    strcat(tmpout,fileres);
     b[ip]=b[i];    return tmpout;
     if (ii)  }
       for (j=ii;j<=i-1;j++) sum -= a[i][j]*b[j];  
     else if (sum) ii=i;  /*************** function subdirf3 ***********/
     b[i]=sum;  char *subdirf3(char fileres[], char *preop, char *preop2)
   }  {
   for (i=n;i>=1;i--) {    
     sum=b[i];    /* Caution optionfilefiname is hidden */
     for (j=i+1;j<=n;j++) sum -= a[i][j]*b[j];    strcpy(tmpout,optionfilefiname);
     b[i]=sum/a[i][i];    strcat(tmpout,"/");
   }    strcat(tmpout,preop);
 }    strcat(tmpout,preop2);
     strcat(tmpout,fileres);
 /************ Frequencies ********************/    return tmpout;
 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)  }
 {  /* Some frequencies */  
    char *asc_diff_time(long time_sec, char ascdiff[])
   int i, m, jk, k1,i1, j1, bool, z1,z2,j;  {
   double ***freq; /* Frequencies */    long sec_left, days, hours, minutes;
   double *pp;    days = (time_sec) / (60*60*24);
   double pos, k2, dateintsum=0,k2cpt=0;    sec_left = (time_sec) % (60*60*24);
   FILE *ficresp;    hours = (sec_left) / (60*60) ;
   char fileresp[FILENAMELENGTH];    sec_left = (sec_left) %(60*60);
     minutes = (sec_left) /60;
   pp=vector(1,nlstate);    sec_left = (sec_left) % (60);
   probs= ma3x(1,AGESUP,1,NCOVMAX, 1,NCOVMAX);    sprintf(ascdiff,"%ld day(s) %ld hour(s) %ld minute(s) %ld second(s)",days, hours, minutes, sec_left);  
   strcpy(fileresp,"p");    return ascdiff;
   strcat(fileresp,fileres);  }
   if((ficresp=fopen(fileresp,"w"))==NULL) {  
     printf("Problem with prevalence resultfile: %s\n", fileresp);  /***************** f1dim *************************/
     exit(0);  extern int ncom; 
   }  extern double *pcom,*xicom;
   freq= ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,agemin,agemax+3);  extern double (*nrfunc)(double []); 
   j1=0;   
   double f1dim(double x) 
   j=cptcoveff;  { 
   if (cptcovn<1) {j=1;ncodemax[1]=1;}    int j; 
     double f;
   for(k1=1; k1<=j;k1++){    double *xt; 
    for(i1=1; i1<=ncodemax[k1];i1++){   
        j1++;    xt=vector(1,ncom); 
        /*printf("cptcoveff=%d Tvaraff=%d", cptcoveff,Tvaraff[1]);    for (j=1;j<=ncom;j++) xt[j]=pcom[j]+x*xicom[j]; 
          scanf("%d", i);*/    f=(*nrfunc)(xt); 
         for (i=-1; i<=nlstate+ndeath; i++)      free_vector(xt,1,ncom); 
          for (jk=-1; jk<=nlstate+ndeath; jk++)      return f; 
            for(m=agemin; m <= agemax+3; m++)  } 
              freq[i][jk][m]=0;  
   /*****************brent *************************/
         dateintsum=0;  double brent(double ax, double bx, double cx, double (*f)(double), double tol,  double *xmin) 
         k2cpt=0;  { 
        for (i=1; i<=imx; i++) {    int iter; 
          bool=1;    double a,b,d,etemp;
          if  (cptcovn>0) {    double fu=0,fv,fw,fx;
            for (z1=1; z1<=cptcoveff; z1++)    double ftemp=0.;
              if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtab[j1][z1]])    double p,q,r,tol1,tol2,u,v,w,x,xm; 
                bool=0;    double e=0.0; 
          }   
          if (bool==1) {    a=(ax < cx ? ax : cx); 
            for(m=firstpass; m<=lastpass; m++){    b=(ax > cx ? ax : cx); 
              k2=anint[m][i]+(mint[m][i]/12.);    x=w=v=bx; 
              if ((k2>=dateprev1) && (k2<=dateprev2)) {    fw=fv=fx=(*f)(x); 
                if(agev[m][i]==0) agev[m][i]=agemax+1;    for (iter=1;iter<=ITMAX;iter++) { 
                if(agev[m][i]==1) agev[m][i]=agemax+2;      xm=0.5*(a+b); 
                freq[s[m][i]][s[m+1][i]][(int)agev[m][i]] += weight[i];      tol2=2.0*(tol1=tol*fabs(x)+ZEPS); 
                freq[s[m][i]][s[m+1][i]][(int) agemax+3] += weight[i];      /*          if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret)))*/
                if ((agev[m][i]>1) && (agev[m][i]< (agemax+3))) {      printf(".");fflush(stdout);
                  dateintsum=dateintsum+k2;      fprintf(ficlog,".");fflush(ficlog);
                  k2cpt++;  #ifdef DEBUGBRENT
                }      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);
              }      /*          if ((fabs(x-xm) <= (tol2-0.5*(b-a)))||(2.0*fabs(fu-ftemp) <= ftol*1.e-2*(fabs(fu)+fabs(ftemp)))) { */
            }  #endif
          }      if (fabs(x-xm) <= (tol2-0.5*(b-a))){ 
        }        *xmin=x; 
         if  (cptcovn>0) {        return fx; 
          fprintf(ficresp, "\n#********** Variable ");      } 
          for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresp, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);      ftemp=fu;
        fprintf(ficresp, "**********\n#");      if (fabs(e) > tol1) { 
         }        r=(x-w)*(fx-fv); 
        for(i=1; i<=nlstate;i++)        q=(x-v)*(fx-fw); 
          fprintf(ficresp, " Age Prev(%d) N(%d) N",i,i);        p=(x-v)*q-(x-w)*r; 
        fprintf(ficresp, "\n");        q=2.0*(q-r); 
                if (q > 0.0) p = -p; 
   for(i=(int)agemin; i <= (int)agemax+3; i++){        q=fabs(q); 
     if(i==(int)agemax+3)        etemp=e; 
       printf("Total");        e=d; 
     else        if (fabs(p) >= fabs(0.5*q*etemp) || p <= q*(a-x) || p >= q*(b-x)) 
       printf("Age %d", i);          d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
     for(jk=1; jk <=nlstate ; jk++){        else { 
       for(m=-1, pp[jk]=0; m <=nlstate+ndeath ; m++)          d=p/q; 
         pp[jk] += freq[jk][m][i];          u=x+d; 
     }          if (u-a < tol2 || b-u < tol2) 
     for(jk=1; jk <=nlstate ; jk++){            d=SIGN(tol1,xm-x); 
       for(m=-1, pos=0; m <=0 ; m++)        } 
         pos += freq[jk][m][i];      } else { 
       if(pp[jk]>=1.e-10)        d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
         printf(" %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);      } 
       else      u=(fabs(d) >= tol1 ? x+d : x+SIGN(tol1,d)); 
         printf(" %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);      fu=(*f)(u); 
     }      if (fu <= fx) { 
         if (u >= x) a=x; else b=x; 
      for(jk=1; jk <=nlstate ; jk++){        SHFT(v,w,x,u) 
       for(m=0, pp[jk]=0; m <=nlstate+ndeath; m++)          SHFT(fv,fw,fx,fu) 
         pp[jk] += freq[jk][m][i];          } else { 
      }            if (u < x) a=u; else b=u; 
             if (fu <= fw || w == x) { 
     for(jk=1,pos=0; jk <=nlstate ; jk++)              v=w; 
       pos += pp[jk];              w=u; 
     for(jk=1; jk <=nlstate ; jk++){              fv=fw; 
       if(pos>=1.e-5)              fw=fu; 
         printf(" %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);            } else if (fu <= fv || v == x || v == w) { 
       else              v=u; 
         printf(" %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);              fv=fu; 
       if( i <= (int) agemax){            } 
         if(pos>=1.e-5){          } 
           fprintf(ficresp," %d %.5f %.0f %.0f",i,pp[jk]/pos, pp[jk],pos);    } 
           probs[i][jk][j1]= pp[jk]/pos;    nrerror("Too many iterations in brent"); 
           /*printf("\ni=%d jk=%d j1=%d %.5f %.0f %.0f %f",i,jk,j1,pp[jk]/pos, pp[jk],pos,probs[i][jk][j1]);*/    *xmin=x; 
         }    return fx; 
       else  } 
           fprintf(ficresp," %d NaNq %.0f %.0f",i,pp[jk],pos);  
       }  /****************** mnbrak ***********************/
     }  
     for(jk=-1; jk <=nlstate+ndeath; jk++)  void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, double *fc, 
       for(m=-1; m <=nlstate+ndeath; m++)              double (*func)(double)) 
         if(freq[jk][m][i] !=0 ) printf(" %d%d=%.0f",jk,m,freq[jk][m][i]);  { 
     if(i <= (int) agemax)    double ulim,u,r,q, dum;
       fprintf(ficresp,"\n");    double fu; 
     printf("\n");   
     }    *fa=(*func)(*ax); 
     }    *fb=(*func)(*bx); 
  }    if (*fb > *fa) { 
   dateintmean=dateintsum/k2cpt;      SHFT(dum,*ax,*bx,dum) 
          SHFT(dum,*fb,*fa,dum) 
   fclose(ficresp);        } 
   free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath,(int) agemin,(int) agemax+3);    *cx=(*bx)+GOLD*(*bx-*ax); 
   free_vector(pp,1,nlstate);    *fc=(*func)(*cx); 
     while (*fb > *fc) { /* Declining fa, fb, fc */
   /* End of Freq */      r=(*bx-*ax)*(*fb-*fc); 
 }      q=(*bx-*cx)*(*fb-*fa); 
       u=(*bx)-((*bx-*cx)*q-(*bx-*ax)*r)/ 
 /************ Prevalence ********************/        (2.0*SIGN(FMAX(fabs(q-r),TINY),q-r)); /* Minimum abscisse of a parabolic estimated from (a,fa), (b,fb) and (c,fc). */
 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)      ulim=(*bx)+GLIMIT*(*cx-*bx); /* Maximum abscisse where function can be evaluated */
 {  /* Some frequencies */      if ((*bx-u)*(u-*cx) > 0.0) { /* if u between b and c */
          fu=(*func)(u); 
   int i, m, jk, k1, i1, j1, bool, z1,z2,j;  #ifdef DEBUG
   double ***freq; /* Frequencies */        /* f(x)=A(x-u)**2+f(u) */
   double *pp;        double A, fparabu; 
   double pos, k2;        A= (*fb - *fa)/(*bx-*ax)/(*bx+*ax-2*u);
         fparabu= *fa - A*(*ax-u)*(*ax-u);
   pp=vector(1,nlstate);        printf("mnbrak (*ax=%.12f, *fa=%.12lf), (*bx=%.12f, *fb=%.12lf), (*cx=%.12f, *fc=%.12lf),  (*u=%.12f, fu=%.12lf, fparabu=%.12f)\n",*ax,*fa,*bx,*fb,*cx,*fc,u,fu, fparabu);
   probs= ma3x(1,AGESUP,1,NCOVMAX, 1,NCOVMAX);        fprintf(ficlog, "mnbrak (*ax=%.12f, *fa=%.12lf), (*bx=%.12f, *fb=%.12lf), (*cx=%.12f, *fc=%.12lf),  (*u=%.12f, fu=%.12lf, fparabu=%.12f)\n",*ax,*fa,*bx,*fb,*cx,*fc,u,fu, fparabu);
    #endif 
   freq=ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,agemin,agemax+3);      } else if ((*cx-u)*(u-ulim) > 0.0) { /* u is after c but before ulim */
   j1=0;        fu=(*func)(u); 
          if (fu < *fc) { 
   j=cptcoveff;          SHFT(*bx,*cx,u,*cx+GOLD*(*cx-*bx)) 
   if (cptcovn<1) {j=1;ncodemax[1]=1;}            SHFT(*fb,*fc,fu,(*func)(u)) 
              } 
  for(k1=1; k1<=j;k1++){      } else if ((u-ulim)*(ulim-*cx) >= 0.0) { /* u outside ulim (verifying that ulim is beyond c) */
     for(i1=1; i1<=ncodemax[k1];i1++){        u=ulim; 
       j1++;        fu=(*func)(u); 
        } else { 
       for (i=-1; i<=nlstate+ndeath; i++)          u=(*cx)+GOLD*(*cx-*bx); 
         for (jk=-1; jk<=nlstate+ndeath; jk++)          fu=(*func)(u); 
           for(m=agemin; m <= agemax+3; m++)      } 
             freq[i][jk][m]=0;      SHFT(*ax,*bx,*cx,u) 
              SHFT(*fa,*fb,*fc,fu) 
       for (i=1; i<=imx; i++) {        } 
         bool=1;  } 
         if  (cptcovn>0) {  
           for (z1=1; z1<=cptcoveff; z1++)  /*************** linmin ************************/
             if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtab[j1][z1]])  /* Given an n -dimensional point p[1..n] and an n -dimensional direction xi[1..n] , moves and
               bool=0;  resets p to where the function func(p) takes on a minimum along the direction xi from p ,
         }  and replaces xi by the actual vector displacement that p was moved. Also returns as fret
         if (bool==1) {  the value of func at the returned location p . This is actually all accomplished by calling the
           for(m=firstpass; m<=lastpass; m++){  routines mnbrak and brent .*/
             k2=anint[m][i]+(mint[m][i]/12.);  int ncom; 
             if ((k2>=dateprev1) && (k2<=dateprev2)) {  double *pcom,*xicom;
               if(agev[m][i]==0) agev[m][i]=agemax+1;  double (*nrfunc)(double []); 
               if(agev[m][i]==1) agev[m][i]=agemax+2;   
               freq[s[m][i]][s[m+1][i]][(int)(agev[m][i]+1-((int)calagedate %12)/12.)] += weight[i];  void linmin(double p[], double xi[], int n, double *fret,double (*func)(double [])) 
               freq[s[m][i]][s[m+1][i]][(int)(agemax+3+1)] += weight[i];    { 
             }    double brent(double ax, double bx, double cx, 
           }                 double (*f)(double), double tol, double *xmin); 
         }    double f1dim(double x); 
       }    void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, 
                      double *fc, double (*func)(double)); 
         for(i=(int)agemin; i <= (int)agemax+3; i++){    int j; 
           for(jk=1; jk <=nlstate ; jk++){    double xx,xmin,bx,ax; 
             for(m=-1, pp[jk]=0; m <=nlstate+ndeath ; m++)    double fx,fb,fa;
               pp[jk] += freq[jk][m][i];   
           }    ncom=n; 
           for(jk=1; jk <=nlstate ; jk++){    pcom=vector(1,n); 
             for(m=-1, pos=0; m <=0 ; m++)    xicom=vector(1,n); 
             pos += freq[jk][m][i];    nrfunc=func; 
         }    for (j=1;j<=n;j++) { 
              pcom[j]=p[j]; 
          for(jk=1; jk <=nlstate ; jk++){      xicom[j]=xi[j]; 
            for(m=0, pp[jk]=0; m <=nlstate+ndeath; m++)    } 
              pp[jk] += freq[jk][m][i];    ax=0.0; 
          }    xx=1.0; 
              mnbrak(&ax,&xx,&bx,&fa,&fx,&fb,f1dim); /* Find a bracket a,x,b in direction n=xi ie xicom */
          for(jk=1,pos=0; jk <=nlstate ; jk++) pos += pp[jk];    *fret=brent(ax,xx,bx,f1dim,TOL,&xmin); /* Find a minimum P+lambda n in that direction (lambdamin), with TOL between abscisses */
   #ifdef DEBUG
          for(jk=1; jk <=nlstate ; jk++){              printf("retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);
            if( i <= (int) agemax){    fprintf(ficlog,"retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);
              if(pos>=1.e-5){  #endif
                probs[i][jk][j1]= pp[jk]/pos;    for (j=1;j<=n;j++) { 
              }      xi[j] *= xmin; 
            }      p[j] += xi[j]; 
          }    } 
              free_vector(xicom,1,n); 
         }    free_vector(pcom,1,n); 
     }  } 
   }  
    
    /*************** powell ************************/
   free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath,(int) agemin,(int) agemax+3);  /*
   free_vector(pp,1,nlstate);  Minimization of a function func of n variables. Input consists of an initial starting point
    p[1..n] ; an initial matrix xi[1..n][1..n] , whose columns contain the initial set of di-
 }  /* End of Freq */  rections (usually the n unit vectors); and ftol , the fractional tolerance in the function value
   such that failure to decrease by more than this amount on one iteration signals doneness. On
 /************* Waves Concatenation ***************/  output, p is set to the best point found, xi is the then-current direction set, fret is the returned
   function value at p , and iter is the number of iterations taken. The routine linmin is used.
 void  concatwav(int wav[], int **dh, int **mw, int **s, double *agedc, double **agev, int  firstpass, int lastpass, int imx, int nlstate, int stepm)   */
 {  void powell(double p[], double **xi, int n, double ftol, int *iter, double *fret, 
   /* Concatenates waves: wav[i] is the number of effective (useful waves) of individual i.              double (*func)(double [])) 
      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    void linmin(double p[], double xi[], int n, double *fret, 
      dh[m][i] of dh[mw[mi][i][i] is the delay between two effective waves m=mw[mi][i]                double (*func)(double [])); 
      and mw[mi+1][i]. dh depends on stepm.    int i,ibig,j; 
      */    double del,t,*pt,*ptt,*xit;
     double fp,fptt;
   int i, mi, m;    double *xits;
   /* int j, k=0,jk, ju, jl,jmin=1e+5, jmax=-1;    int niterf, itmp;
      double sum=0., jmean=0.;*/  
     pt=vector(1,n); 
   int j, k=0,jk, ju, jl;    ptt=vector(1,n); 
   double sum=0.;    xit=vector(1,n); 
   jmin=1e+5;    xits=vector(1,n); 
   jmax=-1;    *fret=(*func)(p); 
   jmean=0.;    for (j=1;j<=n;j++) pt[j]=p[j]; 
   for(i=1; i<=imx; i++){      rcurr_time = time(NULL);  
     mi=0;    for (*iter=1;;++(*iter)) { 
     m=firstpass;      fp=(*fret); 
     while(s[m][i] <= nlstate){      ibig=0; 
       if(s[m][i]>=1)      del=0.0; 
         mw[++mi][i]=m;      rlast_time=rcurr_time;
       if(m >=lastpass)      /* (void) gettimeofday(&curr_time,&tzp); */
         break;      rcurr_time = time(NULL);  
       else      curr_time = *localtime(&rcurr_time);
         m++;      printf("\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret, rcurr_time-rlast_time, rcurr_time-rstart_time);fflush(stdout);
     }/* end while */      fprintf(ficlog,"\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret,rcurr_time-rlast_time, rcurr_time-rstart_time); fflush(ficlog);
     if (s[m][i] > nlstate){  /*     fprintf(ficrespow,"%d %.12f %ld",*iter,*fret,curr_time.tm_sec-start_time.tm_sec); */
       mi++;     /* Death is another wave */     for (i=1;i<=n;i++) {
       /* if(mi==0)  never been interviewed correctly before death */        printf(" %d %.12f",i, p[i]);
          /* Only death is a correct wave */        fprintf(ficlog," %d %.12lf",i, p[i]);
       mw[mi][i]=m;        fprintf(ficrespow," %.12lf", p[i]);
     }      }
       printf("\n");
     wav[i]=mi;      fprintf(ficlog,"\n");
     if(mi==0)      fprintf(ficrespow,"\n");fflush(ficrespow);
       printf("Warning, no any valid information for:%d line=%d\n",num[i],i);      if(*iter <=3){
   }        tml = *localtime(&rcurr_time);
         strcpy(strcurr,asctime(&tml));
   for(i=1; i<=imx; i++){        rforecast_time=rcurr_time; 
     for(mi=1; mi<wav[i];mi++){        itmp = strlen(strcurr);
       if (stepm <=0)        if(strcurr[itmp-1]=='\n')  /* Windows outputs with a new line */
         dh[mi][i]=1;          strcurr[itmp-1]='\0';
       else{        printf("\nConsidering the time needed for the last iteration #%d: %ld seconds,\n",*iter,rcurr_time-rlast_time);
         if (s[mw[mi+1][i]][i] > nlstate) {        fprintf(ficlog,"\nConsidering the time needed for this last iteration #%d: %ld seconds,\n",*iter,rcurr_time-rlast_time);
           if (agedc[i] < 2*AGESUP) {        for(niterf=10;niterf<=30;niterf+=10){
           j= rint(agedc[i]*12-agev[mw[mi][i]][i]*12);          rforecast_time=rcurr_time+(niterf-*iter)*(rcurr_time-rlast_time);
           if(j==0) j=1;  /* Survives at least one month after exam */          forecast_time = *localtime(&rforecast_time);
           k=k+1;          strcpy(strfor,asctime(&forecast_time));
           if (j >= jmax) jmax=j;          itmp = strlen(strfor);
           if (j <= jmin) jmin=j;          if(strfor[itmp-1]=='\n')
           sum=sum+j;          strfor[itmp-1]='\0';
           /* if (j<10) printf("j=%d num=%d ",j,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(rforecast_time-rcurr_time,tmpout),strfor,strcurr);
           }          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(rforecast_time-rcurr_time,tmpout),strfor,strcurr);
         }        }
         else{      }
           j= rint( (agev[mw[mi+1][i]][i]*12 - agev[mw[mi][i]][i]*12));      for (i=1;i<=n;i++) { 
           k=k+1;        for (j=1;j<=n;j++) xit[j]=xi[j][i]; 
           if (j >= jmax) jmax=j;        fptt=(*fret); 
           else if (j <= jmin)jmin=j;  #ifdef DEBUG
           /*   if (j<10) printf("j=%d jmin=%d num=%d ",j,jmin,i); */            printf("fret=%lf, %lf, %lf \n", *fret, *fret, *fret);
           sum=sum+j;            fprintf(ficlog, "fret=%lf, %lf, %lf \n", *fret, *fret, *fret);
         }  #endif
         jk= j/stepm;        printf("%d",i);fflush(stdout);
         jl= j -jk*stepm;        fprintf(ficlog,"%d",i);fflush(ficlog);
         ju= j -(jk+1)*stepm;        linmin(p,xit,n,fret,func); 
         if(jl <= -ju)        if (fabs(fptt-(*fret)) > del) { 
           dh[mi][i]=jk;          del=fabs(fptt-(*fret)); 
         else          ibig=i; 
           dh[mi][i]=jk+1;        } 
         if(dh[mi][i]==0)  #ifdef DEBUG
           dh[mi][i]=1; /* At least one step */        printf("%d %.12e",i,(*fret));
       }        fprintf(ficlog,"%d %.12e",i,(*fret));
     }        for (j=1;j<=n;j++) {
   }          xits[j]=FMAX(fabs(p[j]-pt[j]),1.e-5);
   jmean=sum/k;          printf(" x(%d)=%.12e",j,xit[j]);
   printf("Delay (in months) between two waves Min=%d Max=%d Mean=%f\n\n ",jmin, jmax,jmean);          fprintf(ficlog," x(%d)=%.12e",j,xit[j]);
  }        }
 /*********** Tricode ****************************/        for(j=1;j<=n;j++) {
 void tricode(int *Tvar, int **nbcode, int imx)          printf(" p(%d)=%.12e",j,p[j]);
 {          fprintf(ficlog," p(%d)=%.12e",j,p[j]);
   int Ndum[20],ij=1, k, j, i;        }
   int cptcode=0;        printf("\n");
   cptcoveff=0;        fprintf(ficlog,"\n");
    #endif
   for (k=0; k<19; k++) Ndum[k]=0;      } /* end i */
   for (k=1; k<=7; k++) ncodemax[k]=0;      if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret))) {
   #ifdef DEBUG
   for (j=1; j<=(cptcovn+2*cptcovprod); j++) {        int k[2],l;
     for (i=1; i<=imx; i++) {        k[0]=1;
       ij=(int)(covar[Tvar[j]][i]);        k[1]=-1;
       Ndum[ij]++;        printf("Max: %.12e",(*func)(p));
       /*printf("i=%d ij=%d Ndum[ij]=%d imx=%d",i,ij,Ndum[ij],imx);*/        fprintf(ficlog,"Max: %.12e",(*func)(p));
       if (ij > cptcode) cptcode=ij;        for (j=1;j<=n;j++) {
     }          printf(" %.12e",p[j]);
           fprintf(ficlog," %.12e",p[j]);
     for (i=0; i<=cptcode; i++) {        }
       if(Ndum[i]!=0) ncodemax[j]++;        printf("\n");
     }        fprintf(ficlog,"\n");
     ij=1;        for(l=0;l<=1;l++) {
           for (j=1;j<=n;j++) {
             ptt[j]=p[j]+(p[j]-pt[j])*k[l];
     for (i=1; i<=ncodemax[j]; i++) {            printf("l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
       for (k=0; k<=19; k++) {            fprintf(ficlog,"l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
         if (Ndum[k] != 0) {          }
           nbcode[Tvar[j]][ij]=k;          printf("func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
           ij++;          fprintf(ficlog,"func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
         }        }
         if (ij > ncodemax[j]) break;  #endif
       }    
     }  
   }          free_vector(xit,1,n); 
         free_vector(xits,1,n); 
  for (k=0; k<19; k++) Ndum[k]=0;        free_vector(ptt,1,n); 
         free_vector(pt,1,n); 
  for (i=1; i<=ncovmodel-2; i++) {        return; 
       ij=Tvar[i];      } 
       Ndum[ij]++;      if (*iter == ITMAX) nrerror("powell exceeding maximum iterations."); 
     }      for (j=1;j<=n;j++) { /* Computes an extrapolated point */
         ptt[j]=2.0*p[j]-pt[j]; 
  ij=1;        xit[j]=p[j]-pt[j]; 
  for (i=1; i<=10; i++) {        pt[j]=p[j]; 
    if((Ndum[i]!=0) && (i<=ncov)){      } 
      Tvaraff[ij]=i;      fptt=(*func)(ptt); 
      ij++;      if (fptt < fp) { /* If extrapolated point is better, decide if we keep that new direction or not */
    }        /* (x1 f1=fp), (x2 f2=*fret), (x3 f3=fptt), (xm fm) */
  }        /* From x1 (P0) distance of x2 is at h and x3 is 2h */
          /* Let f"(x2) be the 2nd derivative equal everywhere.  */
     cptcoveff=ij-1;        /* Then the parabolic through (x1,f1), (x2,f2) and (x3,f3) */
 }        /* will reach at f3 = fm + h^2/2 f"m  ; f" = (f1 -2f2 +f3 ) / h**2 */
         /* f1-f3 = delta(2h) = 2 h**2 f'' = 2(f1- 2f2 +f3) */
 /*********** Health Expectancies ****************/        /* Thus we compare delta(2h) with observed f1-f3 */
         /* or best gain on one ancient line 'del' with total  */
 void evsij(char fileres[], double ***eij, double x[], int nlstate, int stepm, int bage, int fage, double **oldm, double **savm, int ij)        /* gain f1-f2 = f1 - f2 - 'del' with del  */
 {        /* t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)-del*SQR(fp-fptt); */
   /* Health expectancies */  
   int i, j, nhstepm, hstepm, h;        t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del);
   double age, agelim,hf;        t= t- del*SQR(fp-fptt);
   double ***p3mat;        printf("t1= %.12lf, t2= %.12lf, t=%.12lf\n", 2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del),del*SQR(fp-fptt),t);
          fprintf(ficlog,"t1= %.12lf, t2= %.12lf, t=%.12lf\n", 2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del),del*SQR(fp-fptt),t);
   fprintf(ficreseij,"# Health expectancies\n");  #ifdef DEBUG
   fprintf(ficreseij,"# Age");        printf("t3= %.12lf, t4= %.12lf, t3*= %.12lf, t4*= %.12lf\n",SQR(fp-(*fret)-del),SQR(fp-fptt),
   for(i=1; i<=nlstate;i++)               (fp-(*fret)-del)*(fp-(*fret)-del),(fp-fptt)*(fp-fptt));
     for(j=1; j<=nlstate;j++)        fprintf(ficlog,"t3= %.12lf, t4= %.12lf, t3*= %.12lf, t4*= %.12lf\n",SQR(fp-(*fret)-del),SQR(fp-fptt),
       fprintf(ficreseij," %1d-%1d",i,j);               (fp-(*fret)-del)*(fp-(*fret)-del),(fp-fptt)*(fp-fptt));
   fprintf(ficreseij,"\n");        printf("tt= %.12lf, t=%.12lf\n",2.0*(fp-2.0*(*fret)+fptt)*(fp-(*fret)-del)*(fp-(*fret)-del)-del*(fp-fptt)*(fp-fptt),t);
         fprintf(ficlog, "tt= %.12lf, t=%.12lf\n",2.0*(fp-2.0*(*fret)+fptt)*(fp-(*fret)-del)*(fp-(*fret)-del)-del*(fp-fptt)*(fp-fptt),t);
   hstepm=1*YEARM; /*  Every j years of age (in month) */  #endif
   hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */        if (t < 0.0) { /* Then we use it for last direction */
           linmin(p,xit,n,fret,func); /* computes mean on the extrapolated direction.*/
   agelim=AGESUP;          for (j=1;j<=n;j++) { 
   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */            xi[j][ibig]=xi[j][n]; /* Replace the direction with biggest decrease by n */
     /* nhstepm age range expressed in number of stepm */            xi[j][n]=xit[j];      /* and nth direction by the extrapolated */
     nhstepm=(int) rint((agelim-age)*YEARM/stepm);          }
     /* Typically if 20 years = 20*12/6=40 stepm */          printf("Gaining to use average direction of P0 P%d instead of biggest increase direction %d :\n",n,ibig);
     if (stepm >= YEARM) hstepm=1;          fprintf(ficlog,"Gaining to use average direction of P0 P%d instead of biggest increase direction %d :\n",n,ibig);
     nhstepm = nhstepm/hstepm;/* Expressed in hstepm, typically 40/4=10 */  
     p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);  #ifdef DEBUG
     /* Computed by stepm unit matrices, product of hstepm matrices, stored          printf("Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
        in an array of nhstepm length: nhstepm=10, hstepm=4, stepm=6 months */          fprintf(ficlog,"Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
     hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm, savm, ij);            for(j=1;j<=n;j++){
             printf(" %.12e",xit[j]);
             fprintf(ficlog," %.12e",xit[j]);
     for(i=1; i<=nlstate;i++)          }
       for(j=1; j<=nlstate;j++)          printf("\n");
         for (h=0, eij[i][j][(int)age]=0; h<=nhstepm; h++){          fprintf(ficlog,"\n");
           eij[i][j][(int)age] +=p3mat[i][j][h];  #endif
         }        } /* end of t negative */
          } /* end if (fptt < fp)  */
     hf=1;    } 
     if (stepm >= YEARM) hf=stepm/YEARM;  } 
     fprintf(ficreseij,"%.0f",age );  
     for(i=1; i<=nlstate;i++)  /**** Prevalence limit (stable or period prevalence)  ****************/
       for(j=1; j<=nlstate;j++){  
         fprintf(ficreseij," %.4f", hf*eij[i][j][(int)age]);  double **prevalim(double **prlim, int nlstate, double x[], double age, double **oldm, double **savm, double ftolpl, int ij)
       }  {
     fprintf(ficreseij,"\n");    /* Computes the prevalence limit in each live state at age x by left multiplying the unit
     free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);       matrix by transitions matrix until convergence is reached */
   }    
 }    int i, ii,j,k;
     double min, max, maxmin, maxmax,sumnew=0.;
 /************ Variance ******************/    /* double **matprod2(); */ /* test */
 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)    double **out, cov[NCOVMAX+1], **pmij();
 {    double **newm;
   /* Variance of health expectancies */    double agefin, delaymax=50 ; /* Max number of years to converge */
   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);*/    
   double **newm;    for (ii=1;ii<=nlstate+ndeath;ii++)
   double **dnewm,**doldm;      for (j=1;j<=nlstate+ndeath;j++){
   int i, j, nhstepm, hstepm, h;        oldm[ii][j]=(ii==j ? 1.0 : 0.0);
   int k, cptcode;      }
   double *xp;    
   double **gp, **gm;    cov[1]=1.;
   double ***gradg, ***trgradg;    
   double ***p3mat;    /* Even if hstepm = 1, at least one multiplication by the unit matrix */
   double age,agelim;    for(agefin=age-stepm/YEARM; agefin>=age-delaymax; agefin=agefin-stepm/YEARM){
   int theta;      newm=savm;
       /* Covariates have to be included here again */
    fprintf(ficresvij,"# Covariances of life expectancies\n");      cov[2]=agefin;
   fprintf(ficresvij,"# Age");      
   for(i=1; i<=nlstate;i++)      for (k=1; k<=cptcovn;k++) {
     for(j=1; j<=nlstate;j++)        cov[2+k]=nbcode[Tvar[k]][codtab[ij][Tvar[k]]];
       fprintf(ficresvij," Cov(e%1d, e%1d)",i,j);        /*printf("prevalim ij=%d k=%d Tvar[%d]=%d nbcode=%d cov=%lf codtab[%d][Tvar[%d]]=%d \n",ij,k, k, Tvar[k],nbcode[Tvar[k]][codtab[ij][Tvar[k]]],cov[2+k], ij, k, codtab[ij][Tvar[k]]);*/
   fprintf(ficresvij,"\n");      }
       /* for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
   xp=vector(1,npar);      /* for (k=1; k<=cptcovprod;k++) /\* Useless *\/ */
   dnewm=matrix(1,nlstate,1,npar);      /*   cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]] * nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]]; */
   doldm=matrix(1,nlstate,1,nlstate);      
        /*printf("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/
   hstepm=1*YEARM; /* Every year of age */      /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/
   hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */      /*printf("ij=%d cov[3]=%lf \n",ij, cov[3]);*/
   agelim = AGESUP;      /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */      /* out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /\* Bug Valgrind *\/ */
     nhstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */      out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /* Bug Valgrind */
     if (stepm >= YEARM) hstepm=1;      
     nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */      savm=oldm;
     p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);      oldm=newm;
     gradg=ma3x(0,nhstepm,1,npar,1,nlstate);      maxmax=0.;
     gp=matrix(0,nhstepm,1,nlstate);      for(j=1;j<=nlstate;j++){
     gm=matrix(0,nhstepm,1,nlstate);        min=1.;
         max=0.;
     for(theta=1; theta <=npar; theta++){        for(i=1; i<=nlstate; i++) {
       for(i=1; i<=npar; i++){ /* Computes gradient */          sumnew=0;
         xp[i] = x[i] + (i==theta ?delti[theta]:0);          for(k=1; k<=ndeath; k++) sumnew+=newm[i][nlstate+k];
       }          prlim[i][j]= newm[i][j]/(1-sumnew);
       hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);            /*printf(" prevalim i=%d, j=%d, prmlim[%d][%d]=%f, agefin=%d \n", i, j, i, j, prlim[i][j],(int)agefin);*/
       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);          max=FMAX(max,prlim[i][j]);
           min=FMIN(min,prlim[i][j]);
       if (popbased==1) {        }
         for(i=1; i<=nlstate;i++)        maxmin=max-min;
           prlim[i][i]=probs[(int)age][i][ij];        maxmax=FMAX(maxmax,maxmin);
       }      } /* j loop */
            if(maxmax < ftolpl){
       for(j=1; j<= nlstate; j++){        return prlim;
         for(h=0; h<=nhstepm; h++){      }
           for(i=1, gp[h][j]=0.;i<=nlstate;i++)    } /* age loop */
             gp[h][j] += prlim[i][i]*p3mat[i][j][h];    return prlim; /* should not reach here */
         }  }
       }  
      /*************** transition probabilities ***************/ 
       for(i=1; i<=npar; i++) /* Computes gradient */  
         xp[i] = x[i] - (i==theta ?delti[theta]:0);  double **pmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )
       hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);    {
       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);    /* According to parameters values stored in x and the covariate's values stored in cov,
        computes the probability to be observed in state j being in state i by appying the
       if (popbased==1) {       model to the ncovmodel covariates (including constant and age).
         for(i=1; i<=nlstate;i++)       lnpijopii=ln(pij/pii)= aij+bij*age+cij*v1+dij*v2+... = sum_nc=1^ncovmodel xij(nc)*cov[nc]
           prlim[i][i]=probs[(int)age][i][ij];       and, according on how parameters are entered, the position of the coefficient xij(nc) of the
       }       ncth covariate in the global vector x is given by the formula:
        j<i nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel
       for(j=1; j<= nlstate; j++){       j>=i nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel
         for(h=0; h<=nhstepm; h++){       Computes ln(pij/pii) (lnpijopii), deduces pij/pii by exponentiation,
           for(i=1, gm[h][j]=0.;i<=nlstate;i++)       sums on j different of i to get 1-pii/pii, deduces pii, and then all pij.
             gm[h][j] += prlim[i][i]*p3mat[i][j][h];       Outputs ps[i][j] the probability to be observed in j being in j according to
         }       the values of the covariates cov[nc] and corresponding parameter values x[nc+shiftij]
       }    */
     double s1, lnpijopii;
       for(j=1; j<= nlstate; j++)    /*double t34;*/
         for(h=0; h<=nhstepm; h++){    int i,j, nc, ii, jj;
           gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta];  
         }      for(i=1; i<= nlstate; i++){
     } /* End theta */        for(j=1; j<i;j++){
           for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
     trgradg =ma3x(0,nhstepm,1,nlstate,1,npar);            /*lnpijopii += param[i][j][nc]*cov[nc];*/
             lnpijopii += x[nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel]*cov[nc];
     for(h=0; h<=nhstepm; h++)  /*       printf("Int j<i s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
       for(j=1; j<=nlstate;j++)          }
         for(theta=1; theta <=npar; theta++)          ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
           trgradg[h][j][theta]=gradg[h][theta][j];  /*      printf("s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
         }
     for(i=1;i<=nlstate;i++)        for(j=i+1; j<=nlstate+ndeath;j++){
       for(j=1;j<=nlstate;j++)          for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
         vareij[i][j][(int)age] =0.;            /*lnpijopii += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];*/
     for(h=0;h<=nhstepm;h++){            lnpijopii += x[nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel]*cov[nc];
       for(k=0;k<=nhstepm;k++){  /*        printf("Int j>i s1=%.17e, lnpijopii=%.17e %lx %lx\n",s1,lnpijopii,s1,lnpijopii); */
         matprod2(dnewm,trgradg[h],1,nlstate,1,npar,1,npar,matcov);          }
         matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg[k]);          ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
         for(i=1;i<=nlstate;i++)        }
           for(j=1;j<=nlstate;j++)      }
             vareij[i][j][(int)age] += doldm[i][j];      
       }      for(i=1; i<= nlstate; i++){
     }        s1=0;
     h=1;        for(j=1; j<i; j++){
     if (stepm >= YEARM) h=stepm/YEARM;          s1+=exp(ps[i][j]); /* In fact sums pij/pii */
     fprintf(ficresvij,"%.0f ",age );          /*printf("debug1 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
     for(i=1; i<=nlstate;i++)        }
       for(j=1; j<=nlstate;j++){        for(j=i+1; j<=nlstate+ndeath; j++){
         fprintf(ficresvij," %.4f", h*vareij[i][j][(int)age]);          s1+=exp(ps[i][j]); /* In fact sums pij/pii */
       }          /*printf("debug2 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
     fprintf(ficresvij,"\n");        }
     free_matrix(gp,0,nhstepm,1,nlstate);        /* s1= sum_{j<>i} pij/pii=(1-pii)/pii and thus pii is known from s1 */
     free_matrix(gm,0,nhstepm,1,nlstate);        ps[i][i]=1./(s1+1.);
     free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate);        /* Computing other pijs */
     free_ma3x(trgradg,0,nhstepm,1,nlstate,1,npar);        for(j=1; j<i; j++)
     free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);          ps[i][j]= exp(ps[i][j])*ps[i][i];
   } /* End age */        for(j=i+1; j<=nlstate+ndeath; j++)
            ps[i][j]= exp(ps[i][j])*ps[i][i];
   free_vector(xp,1,npar);        /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */
   free_matrix(doldm,1,nlstate,1,npar);      } /* end i */
   free_matrix(dnewm,1,nlstate,1,nlstate);      
       for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){
 }        for(jj=1; jj<= nlstate+ndeath; jj++){
           ps[ii][jj]=0;
 /************ Variance of prevlim ******************/          ps[ii][ii]=1;
 void varprevlim(char fileres[], double **varpl, double **matcov, double x[], double delti[], int nlstate, int stepm, double bage, double fage, double **oldm, double **savm, double **prlim, double ftolpl, int ij)        }
 {      }
   /* Variance of prevalence limit */      
   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);*/      
   double **newm;      /* for(ii=1; ii<= nlstate+ndeath; ii++){ */
   double **dnewm,**doldm;      /*   for(jj=1; jj<= nlstate+ndeath; jj++){ */
   int i, j, nhstepm, hstepm;      /*  printf(" pmij  ps[%d][%d]=%lf ",ii,jj,ps[ii][jj]); */
   int k, cptcode;      /*   } */
   double *xp;      /*   printf("\n "); */
   double *gp, *gm;      /* } */
   double **gradg, **trgradg;      /* printf("\n ");printf("%lf ",cov[2]);*/
   double age,agelim;      /*
   int theta;        for(i=1; i<= npar; i++) printf("%f ",x[i]);
            goto end;*/
   fprintf(ficresvpl,"# Standard deviation of prevalences limit\n");      return ps;
   fprintf(ficresvpl,"# Age");  }
   for(i=1; i<=nlstate;i++)  
       fprintf(ficresvpl," %1d-%1d",i,i);  /**************** Product of 2 matrices ******************/
   fprintf(ficresvpl,"\n");  
   double **matprod2(double **out, double **in,int nrl, int nrh, int ncl, int nch, int ncolol, int ncoloh, double **b)
   xp=vector(1,npar);  {
   dnewm=matrix(1,nlstate,1,npar);    /* Computes the matrix product of in(1,nrh-nrl+1)(1,nch-ncl+1) times
   doldm=matrix(1,nlstate,1,nlstate);       b(1,nch-ncl+1)(1,ncoloh-ncolol+1) into out(...) */
      /* in, b, out are matrice of pointers which should have been initialized 
   hstepm=1*YEARM; /* Every year of age */       before: only the contents of out is modified. The function returns
   hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */       a pointer to pointers identical to out */
   agelim = AGESUP;    int i, j, k;
   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */    for(i=nrl; i<= nrh; i++)
     nhstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */      for(k=ncolol; k<=ncoloh; k++){
     if (stepm >= YEARM) hstepm=1;        out[i][k]=0.;
     nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */        for(j=ncl; j<=nch; j++)
     gradg=matrix(1,npar,1,nlstate);          out[i][k] +=in[i][j]*b[j][k];
     gp=vector(1,nlstate);      }
     gm=vector(1,nlstate);    return out;
   }
     for(theta=1; theta <=npar; theta++){  
       for(i=1; i<=npar; i++){ /* Computes gradient */  
         xp[i] = x[i] + (i==theta ?delti[theta]:0);  /************* Higher Matrix Product ***************/
       }  
       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);  double ***hpxij(double ***po, int nhstepm, double age, int hstepm, double *x, int nlstate, int stepm, double **oldm, double **savm, int ij )
       for(i=1;i<=nlstate;i++)  {
         gp[i] = prlim[i][i];    /* Computes the transition matrix starting at age 'age' over 
           'nhstepm*hstepm*stepm' months (i.e. until
       for(i=1; i<=npar; i++) /* Computes gradient */       age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying 
         xp[i] = x[i] - (i==theta ?delti[theta]:0);       nhstepm*hstepm matrices. 
       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);       Output is stored in matrix po[i][j][h] for h every 'hstepm' step 
       for(i=1;i<=nlstate;i++)       (typically every 2 years instead of every month which is too big 
         gm[i] = prlim[i][i];       for the memory).
        Model is determined by parameters x and covariates have to be 
       for(i=1;i<=nlstate;i++)       included manually here. 
         gradg[theta][i]= (gp[i]-gm[i])/2./delti[theta];  
     } /* End theta */       */
   
     trgradg =matrix(1,nlstate,1,npar);    int i, j, d, h, k;
     double **out, cov[NCOVMAX+1];
     for(j=1; j<=nlstate;j++)    double **newm;
       for(theta=1; theta <=npar; theta++)  
         trgradg[j][theta]=gradg[theta][j];    /* Hstepm could be zero and should return the unit matrix */
     for (i=1;i<=nlstate+ndeath;i++)
     for(i=1;i<=nlstate;i++)      for (j=1;j<=nlstate+ndeath;j++){
       varpl[i][(int)age] =0.;        oldm[i][j]=(i==j ? 1.0 : 0.0);
     matprod2(dnewm,trgradg,1,nlstate,1,npar,1,npar,matcov);        po[i][j][0]=(i==j ? 1.0 : 0.0);
     matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg);      }
     for(i=1;i<=nlstate;i++)    /* Even if hstepm = 1, at least one multiplication by the unit matrix */
       varpl[i][(int)age] = doldm[i][i]; /* Covariances are useless */    for(h=1; h <=nhstepm; h++){
       for(d=1; d <=hstepm; d++){
     fprintf(ficresvpl,"%.0f ",age );        newm=savm;
     for(i=1; i<=nlstate;i++)        /* Covariates have to be included here again */
       fprintf(ficresvpl," %.5f (%.5f)",prlim[i][i],sqrt(varpl[i][(int)age]));        cov[1]=1.;
     fprintf(ficresvpl,"\n");        cov[2]=age+((h-1)*hstepm + (d-1))*stepm/YEARM;
     free_vector(gp,1,nlstate);        for (k=1; k<=cptcovn;k++) 
     free_vector(gm,1,nlstate);          cov[2+k]=nbcode[Tvar[k]][codtab[ij][Tvar[k]]];
     free_matrix(gradg,1,npar,1,nlstate);        for (k=1; k<=cptcovage;k++)
     free_matrix(trgradg,1,nlstate,1,npar);          cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2];
   } /* End age */        for (k=1; k<=cptcovprod;k++) /* Useless because included in cptcovn */
           cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]]*nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]];
   free_vector(xp,1,npar);  
   free_matrix(doldm,1,nlstate,1,npar);  
   free_matrix(dnewm,1,nlstate,1,nlstate);        /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/
         /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/
 }        out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, 
                      pmij(pmmij,cov,ncovmodel,x,nlstate));
 /************ Variance of one-step probabilities  ******************/        savm=oldm;
 void varprob(char fileres[], double **matcov, double x[], double delti[], int nlstate, double bage, double fage, int ij)        oldm=newm;
 {      }
   int i, j;      for(i=1; i<=nlstate+ndeath; i++)
   int k=0, cptcode;        for(j=1;j<=nlstate+ndeath;j++) {
   double **dnewm,**doldm;          po[i][j][h]=newm[i][j];
   double *xp;          /*if(h==nhstepm) printf("po[%d][%d][%d]=%f ",i,j,h,po[i][j][h]);*/
   double *gp, *gm;        }
   double **gradg, **trgradg;      /*printf("h=%d ",h);*/
   double age,agelim, cov[NCOVMAX];    } /* end h */
   int theta;  /*     printf("\n H=%d \n",h); */
   char fileresprob[FILENAMELENGTH];    return po;
   }
   strcpy(fileresprob,"prob");  
   strcat(fileresprob,fileres);  #ifdef NLOPT
   if((ficresprob=fopen(fileresprob,"w"))==NULL) {    double  myfunc(unsigned n, const double *p1, double *grad, void *pd){
     printf("Problem with resultfile: %s\n", fileresprob);    double fret;
   }    double *xt;
   printf("Computing variance of one-step probabilities: result on file '%s' \n",fileresprob);    int j;
      myfunc_data *d2 = (myfunc_data *) pd;
   /* xt = (p1-1); */
   xp=vector(1,npar);    xt=vector(1,n); 
   dnewm=matrix(1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);    for (j=1;j<=n;j++)   xt[j]=p1[j-1]; /* xt[1]=p1[0] */
   doldm=matrix(1,(nlstate+ndeath)*(nlstate+ndeath),1,(nlstate+ndeath)*(nlstate+ndeath));  
      fret=(d2->function)(xt); /*  p xt[1]@8 is fine */
   cov[1]=1;    /* fret=(*func)(xt); /\*  p xt[1]@8 is fine *\/ */
   for (age=bage; age<=fage; age ++){    printf("Function = %.12lf ",fret);
     cov[2]=age;    for (j=1;j<=n;j++) printf(" %d %.8lf", j, xt[j]); 
     gradg=matrix(1,npar,1,9);    printf("\n");
     trgradg=matrix(1,9,1,npar);   free_vector(xt,1,n);
     gp=vector(1,(nlstate+ndeath)*(nlstate+ndeath));    return fret;
     gm=vector(1,(nlstate+ndeath)*(nlstate+ndeath));  }
      #endif
     for(theta=1; theta <=npar; theta++){  
       for(i=1; i<=npar; i++)  /*************** log-likelihood *************/
         xp[i] = x[i] + (i==theta ?delti[theta]:0);  double func( double *x)
        {
       pmij(pmmij,cov,ncovmodel,xp,nlstate);    int i, ii, j, k, mi, d, kk;
        double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1];
       k=0;    double **out;
       for(i=1; i<= (nlstate+ndeath); i++){    double sw; /* Sum of weights */
         for(j=1; j<=(nlstate+ndeath);j++){    double lli; /* Individual log likelihood */
            k=k+1;    int s1, s2;
           gp[k]=pmmij[i][j];    double bbh, survp;
         }    long ipmx;
       }    /*extern weight */
     /* We are differentiating ll according to initial status */
       for(i=1; i<=npar; i++)    /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
         xp[i] = x[i] - (i==theta ?delti[theta]:0);    /*for(i=1;i<imx;i++) 
          printf(" %d\n",s[4][i]);
     */
       pmij(pmmij,cov,ncovmodel,xp,nlstate);  
       k=0;    ++countcallfunc;
       for(i=1; i<=(nlstate+ndeath); i++){  
         for(j=1; j<=(nlstate+ndeath);j++){    cov[1]=1.;
           k=k+1;  
           gm[k]=pmmij[i][j];    for(k=1; k<=nlstate; k++) ll[k]=0.;
         }  
       }    if(mle==1){
            for (i=1,ipmx=0, sw=0.; i<=imx; i++){
        for(i=1; i<= (nlstate+ndeath)*(nlstate+ndeath); i++)        /* Computes the values of the ncovmodel covariates of the model
            gradg[theta][i]=(gp[i]-gm[i])/2./delti[theta];             depending if the covariates are fixed or variying (age dependent) and stores them in cov[]
     }           Then computes with function pmij which return a matrix p[i][j] giving the elementary probability
            to be observed in j being in i according to the model.
      for(j=1; j<=(nlstate+ndeath)*(nlstate+ndeath);j++)         */
       for(theta=1; theta <=npar; theta++)        for (k=1; k<=cptcovn;k++){ /* Simple and product covariates without age* products */
       trgradg[j][theta]=gradg[theta][j];          cov[2+k]=covar[Tvar[k]][i];
          }
      matprod2(dnewm,trgradg,1,9,1,npar,1,npar,matcov);        /* In model V2+V1*V4+age*V3+V3*V2 Tvar[1] is V2, Tvar[2=V1*V4] 
      matprod2(doldm,dnewm,1,9,1,npar,1,9,gradg);           is 6, Tvar[3=age*V3] should not be computed because of age Tvar[4=V3*V2] 
            has been calculated etc */
      pmij(pmmij,cov,ncovmodel,x,nlstate);        for(mi=1; mi<= wav[i]-1; mi++){
           for (ii=1;ii<=nlstate+ndeath;ii++)
      k=0;            for (j=1;j<=nlstate+ndeath;j++){
      for(i=1; i<=(nlstate+ndeath); i++){              oldm[ii][j]=(ii==j ? 1.0 : 0.0);
        for(j=1; j<=(nlstate+ndeath);j++){              savm[ii][j]=(ii==j ? 1.0 : 0.0);
          k=k+1;            }
          gm[k]=pmmij[i][j];          for(d=0; d<dh[mi][i]; d++){
         }            newm=savm;
      }            cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;
                  for (kk=1; kk<=cptcovage;kk++) {
      /*printf("\n%d ",(int)age);              cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2]; /* Tage[kk] gives the data-covariate associated with age */
      for (i=1; i<=(nlstate+ndeath)*(nlstate+ndeath-1);i++){            }
                    out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                          1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
        printf("%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));            savm=oldm;
      }*/            oldm=newm;
           } /* end mult */
   fprintf(ficresprob,"\n%d ",(int)age);        
           /*lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);*/ /* Original formula */
   for (i=1; i<=(nlstate+ndeath)*(nlstate+ndeath-1);i++){          /* But now since version 0.9 we anticipate for bias at large stepm.
     if (i== 2) fprintf(ficresprob,"%.3e %.3e ",gm[i],doldm[i][i]);           * If stepm is larger than one month (smallest stepm) and if the exact delay 
 if (i== 4) fprintf(ficresprob,"%.3e %.3e ",gm[i],doldm[i][i]);           * (in months) between two waves is not a multiple of stepm, we rounded to 
   }           * the nearest (and in case of equal distance, to the lowest) interval but now
            * we keep into memory the bias bh[mi][i] and also the previous matrix product
     free_vector(gp,1,(nlstate+ndeath)*(nlstate+ndeath));           * (i.e to dh[mi][i]-1) saved in 'savm'. Then we inter(extra)polate the
     free_vector(gm,1,(nlstate+ndeath)*(nlstate+ndeath));           * probability in order to take into account the bias as a fraction of the way
     free_matrix(trgradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);           * from savm to out if bh is negative or even beyond if bh is positive. bh varies
     free_matrix(gradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);           * -stepm/2 to stepm/2 .
 }           * For stepm=1 the results are the same as for previous versions of Imach.
  free_vector(xp,1,npar);           * For stepm > 1 the results are less biased than in previous versions. 
 fclose(ficresprob);           */
  exit(0);          s1=s[mw[mi][i]][i];
 }          s2=s[mw[mi+1][i]][i];
           bbh=(double)bh[mi][i]/(double)stepm; 
 /***********************************************/          /* bias bh is positive if real duration
 /**************** Main Program *****************/           * is higher than the multiple of stepm and negative otherwise.
 /***********************************************/           */
           /* lli= (savm[s1][s2]>1.e-8 ?(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]):log((1.+bbh)*out[s1][s2]));*/
 int main(int argc, char *argv[])          if( s2 > nlstate){ 
 {            /* i.e. if s2 is a death state and if the date of death is known 
                then the contribution to the likelihood is the probability to 
   int i,j, k, n=MAXN,iter,m,size,cptcode, cptcod;               die between last step unit time and current  step unit time, 
   double agedeb, agefin,hf;               which is also equal to probability to die before dh 
   double agemin=1.e20, agemax=-1.e20;               minus probability to die before dh-stepm . 
                In version up to 0.92 likelihood was computed
   double fret;          as if date of death was unknown. Death was treated as any other
   double **xi,tmp,delta;          health state: the date of the interview describes the actual state
           and not the date of a change in health state. The former idea was
   double dum; /* Dummy variable */          to consider that at each interview the state was recorded
   double ***p3mat;          (healthy, disable or death) and IMaCh was corrected; but when we
   int *indx;          introduced the exact date of death then we should have modified
   char line[MAXLINE], linepar[MAXLINE];          the contribution of an exact death to the likelihood. This new
   char title[MAXLINE];          contribution is smaller and very dependent of the step unit
   char optionfile[FILENAMELENGTH], datafile[FILENAMELENGTH],  filerespl[FILENAMELENGTH], optionfilehtm[FILENAMELENGTH];          stepm. It is no more the probability to die between last interview
   char optionfilext[10], optionfilefiname[FILENAMELENGTH], optionfilegnuplot[FILENAMELENGTH], plotcmd[FILENAMELENGTH];          and month of death but the probability to survive from last
            interview up to one month before death multiplied by the
   char fileres[FILENAMELENGTH], filerespij[FILENAMELENGTH], filereso[FILENAMELENGTH], fileresf[FILENAMELENGTH];          probability to die within a month. Thanks to Chris
           Jackson for correcting this bug.  Former versions increased
   char filerest[FILENAMELENGTH];          mortality artificially. The bad side is that we add another loop
   char fileregp[FILENAMELENGTH];          which slows down the processing. The difference can be up to 10%
   char popfile[FILENAMELENGTH];          lower mortality.
   char path[80],pathc[80],pathcd[80],pathtot[80],model[20];            */
   int firstobs=1, lastobs=10;            lli=log(out[s1][s2] - savm[s1][s2]);
   int sdeb, sfin; /* Status at beginning and end */  
   int c,  h , cpt,l;  
   int ju,jl, mi;          } else if  (s2==-2) {
   int i1,j1, k1,k2,k3,jk,aa,bb, stepsize, ij;            for (j=1,survp=0. ; j<=nlstate; j++) 
   int jnais,jdc,jint4,jint1,jint2,jint3,**outcome,**adl,*tab;              survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
   int mobilav=0,popforecast=0;            /*survp += out[s1][j]; */
   int hstepm, nhstepm;            lli= log(survp);
   int *popage;/*boolprev=0 if date and zero if wave*/          }
   double jprev1, mprev1,anprev1,jprev2, mprev2,anprev2;          
           else if  (s2==-4) { 
   double bage, fage, age, agelim, agebase;            for (j=3,survp=0. ; j<=nlstate; j++)  
   double ftolpl=FTOL;              survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
   double **prlim;            lli= log(survp); 
   double *severity;          } 
   double ***param; /* Matrix of parameters */  
   double  *p;          else if  (s2==-5) { 
   double **matcov; /* Matrix of covariance */            for (j=1,survp=0. ; j<=2; j++)  
   double ***delti3; /* Scale */              survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
   double *delti; /* Scale */            lli= log(survp); 
   double ***eij, ***vareij;          } 
   double **varpl; /* Variances of prevalence limits by age */          
   double *epj, vepp;          else{
   double kk1, kk2;            lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
   double *popeffectif,*popcount;            /*  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 dateprev1, dateprev2,jproj1,mproj1,anproj1,jproj2,mproj2,anproj2,jprojmean,mprojmean,anprojmean, calagedate;          } 
   double yp,yp1,yp2;          /*lli=(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]);*/
           /*if(lli ==000.0)*/
   char version[80]="Imach version 0.7, February 2002, INED-EUROREVES ";          /*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); */
   char *alph[]={"a","a","b","c","d","e"}, str[4];          ipmx +=1;
           sw += weight[i];
           ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
   char z[1]="c", occ;        } /* end of wave */
 #include <sys/time.h>      } /* end of individual */
 #include <time.h>    }  else if(mle==2){
   char stra[80], strb[80], strc[80], strd[80],stre[80],modelsav[80];      for (i=1,ipmx=0, sw=0.; i<=imx; i++){
          for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];
   /* long total_usecs;        for(mi=1; mi<= wav[i]-1; mi++){
   struct timeval start_time, end_time;          for (ii=1;ii<=nlstate+ndeath;ii++)
              for (j=1;j<=nlstate+ndeath;j++){
   gettimeofday(&start_time, (struct timezone*)0); */ /* at first time */              oldm[ii][j]=(ii==j ? 1.0 : 0.0);
               savm[ii][j]=(ii==j ? 1.0 : 0.0);
             }
   printf("\n%s",version);          for(d=0; d<=dh[mi][i]; d++){
   if(argc <=1){            newm=savm;
     printf("\nEnter the parameter file name: ");            cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;
     scanf("%s",pathtot);            for (kk=1; kk<=cptcovage;kk++) {
   }              cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
   else{            }
     strcpy(pathtot,argv[1]);            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
   }                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
   /*if(getcwd(pathcd, 80)!= NULL)printf ("Error pathcd\n");*/            savm=oldm;
   /*cygwin_split_path(pathtot,path,optionfile);            oldm=newm;
     printf("pathtot=%s, path=%s, optionfile=%s\n",pathtot,path,optionfile);*/          } /* end mult */
   /* cutv(path,optionfile,pathtot,'\\');*/        
           s1=s[mw[mi][i]][i];
   split(pathtot,path,optionfile,optionfilext,optionfilefiname);          s2=s[mw[mi+1][i]][i];
    printf("pathtot=%s, path=%s, optionfile=%s optionfilext=%s optionfilefiname=%s\n",pathtot,path,optionfile,optionfilext,optionfilefiname);          bbh=(double)bh[mi][i]/(double)stepm; 
   chdir(path);          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 */
   replace(pathc,path);          ipmx +=1;
           sw += weight[i];
 /*-------- arguments in the command line --------*/          ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
         } /* end of wave */
   strcpy(fileres,"r");      } /* end of individual */
   strcat(fileres, optionfilefiname);    }  else if(mle==3){  /* exponential inter-extrapolation */
   strcat(fileres,".txt");    /* Other files have txt extension */      for (i=1,ipmx=0, sw=0.; i<=imx; i++){
         for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];
   /*---------arguments file --------*/        for(mi=1; mi<= wav[i]-1; mi++){
           for (ii=1;ii<=nlstate+ndeath;ii++)
   if((ficpar=fopen(optionfile,"r"))==NULL)    {            for (j=1;j<=nlstate+ndeath;j++){
     printf("Problem with optionfile %s\n",optionfile);              oldm[ii][j]=(ii==j ? 1.0 : 0.0);
     goto end;              savm[ii][j]=(ii==j ? 1.0 : 0.0);
   }            }
           for(d=0; d<dh[mi][i]; d++){
   strcpy(filereso,"o");            newm=savm;
   strcat(filereso,fileres);            cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;
   if((ficparo=fopen(filereso,"w"))==NULL) {            for (kk=1; kk<=cptcovage;kk++) {
     printf("Problem with Output resultfile: %s\n", filereso);goto end;              cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
   }            }
             out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
   /* Reads comments: lines beginning with '#' */                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
   while((c=getc(ficpar))=='#' && c!= EOF){            savm=oldm;
     ungetc(c,ficpar);            oldm=newm;
     fgets(line, MAXLINE, ficpar);          } /* end mult */
     puts(line);        
     fputs(line,ficparo);          s1=s[mw[mi][i]][i];
   }          s2=s[mw[mi+1][i]][i];
   ungetc(c,ficpar);          bbh=(double)bh[mi][i]/(double)stepm; 
           lli= (savm[s1][s2]>1.e-8 ?(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]):log((1.+bbh)*out[s1][s2])); /* exponential inter-extrapolation */
   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);          ipmx +=1;
   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);          sw += weight[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);          ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
 while((c=getc(ficpar))=='#' && c!= EOF){        } /* end of wave */
     ungetc(c,ficpar);      } /* end of individual */
     fgets(line, MAXLINE, ficpar);    }else if (mle==4){  /* ml=4 no inter-extrapolation */
     puts(line);      for (i=1,ipmx=0, sw=0.; i<=imx; i++){
     fputs(line,ficparo);        for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];
   }        for(mi=1; mi<= wav[i]-1; mi++){
   ungetc(c,ficpar);          for (ii=1;ii<=nlstate+ndeath;ii++)
              for (j=1;j<=nlstate+ndeath;j++){
                  oldm[ii][j]=(ii==j ? 1.0 : 0.0);
   covar=matrix(0,NCOVMAX,1,n);              savm[ii][j]=(ii==j ? 1.0 : 0.0);
   cptcovn=0;            }
   if (strlen(model)>1) cptcovn=nbocc(model,'+')+1;          for(d=0; d<dh[mi][i]; d++){
             newm=savm;
   ncovmodel=2+cptcovn;            cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;
   nvar=ncovmodel-1; /* Suppressing age as a basic covariate */            for (kk=1; kk<=cptcovage;kk++) {
                cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
   /* Read guess parameters */            }
   /* Reads comments: lines beginning with '#' */          
   while((c=getc(ficpar))=='#' && c!= EOF){            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
     ungetc(c,ficpar);                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
     fgets(line, MAXLINE, ficpar);            savm=oldm;
     puts(line);            oldm=newm;
     fputs(line,ficparo);          } /* end mult */
   }        
   ungetc(c,ficpar);          s1=s[mw[mi][i]][i];
            s2=s[mw[mi+1][i]][i];
   param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);          if( s2 > nlstate){ 
     for(i=1; i <=nlstate; i++)            lli=log(out[s1][s2] - savm[s1][s2]);
     for(j=1; j <=nlstate+ndeath-1; j++){          }else{
       fscanf(ficpar,"%1d%1d",&i1,&j1);            lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
       fprintf(ficparo,"%1d%1d",i1,j1);          }
       printf("%1d%1d",i,j);          ipmx +=1;
       for(k=1; k<=ncovmodel;k++){          sw += weight[i];
         fscanf(ficpar," %lf",&param[i][j][k]);          ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
         printf(" %lf",param[i][j][k]);  /*      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]); */
         fprintf(ficparo," %lf",param[i][j][k]);        } /* end of wave */
       }      } /* end of individual */
       fscanf(ficpar,"\n");    }else{  /* ml=5 no inter-extrapolation no jackson =0.8a */
       printf("\n");      for (i=1,ipmx=0, sw=0.; i<=imx; i++){
       fprintf(ficparo,"\n");        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++)
     npar= (nlstate+ndeath-1)*nlstate*ncovmodel;            for (j=1;j<=nlstate+ndeath;j++){
               oldm[ii][j]=(ii==j ? 1.0 : 0.0);
   p=param[1][1];              savm[ii][j]=(ii==j ? 1.0 : 0.0);
              }
   /* Reads comments: lines beginning with '#' */          for(d=0; d<dh[mi][i]; d++){
   while((c=getc(ficpar))=='#' && c!= EOF){            newm=savm;
     ungetc(c,ficpar);            cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;
     fgets(line, MAXLINE, ficpar);            for (kk=1; kk<=cptcovage;kk++) {
     puts(line);              cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
     fputs(line,ficparo);            }
   }          
   ungetc(c,ficpar);            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                          1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
   delti3= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);            savm=oldm;
   delti=vector(1,npar); /* Scale of each paramater (output from hesscov) */            oldm=newm;
   for(i=1; i <=nlstate; i++){          } /* end mult */
     for(j=1; j <=nlstate+ndeath-1; j++){        
       fscanf(ficpar,"%1d%1d",&i1,&j1);          s1=s[mw[mi][i]][i];
       printf("%1d%1d",i,j);          s2=s[mw[mi+1][i]][i];
       fprintf(ficparo,"%1d%1d",i1,j1);          lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
       for(k=1; k<=ncovmodel;k++){          ipmx +=1;
         fscanf(ficpar,"%le",&delti3[i][j][k]);          sw += weight[i];
         printf(" %le",delti3[i][j][k]);          ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
         fprintf(ficparo," %le",delti3[i][j][k]);          /*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 */
       fscanf(ficpar,"\n");      } /* end of individual */
       printf("\n");    } /* End of if */
       fprintf(ficparo,"\n");    for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
     }    /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
   }    l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
   delti=delti3[1][1];    return -l;
    }
   /* Reads comments: lines beginning with '#' */  
   while((c=getc(ficpar))=='#' && c!= EOF){  /*************** log-likelihood *************/
     ungetc(c,ficpar);  double funcone( double *x)
     fgets(line, MAXLINE, ficpar);  {
     puts(line);    /* Same as likeli but slower because of a lot of printf and if */
     fputs(line,ficparo);    int i, ii, j, k, mi, d, kk;
   }    double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1];
   ungetc(c,ficpar);    double **out;
      double lli; /* Individual log likelihood */
   matcov=matrix(1,npar,1,npar);    double llt;
   for(i=1; i <=npar; i++){    int s1, s2;
     fscanf(ficpar,"%s",&str);    double bbh, survp;
     printf("%s",str);    /*extern weight */
     fprintf(ficparo,"%s",str);    /* We are differentiating ll according to initial status */
     for(j=1; j <=i; j++){    /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
       fscanf(ficpar," %le",&matcov[i][j]);    /*for(i=1;i<imx;i++) 
       printf(" %.5le",matcov[i][j]);      printf(" %d\n",s[4][i]);
       fprintf(ficparo," %.5le",matcov[i][j]);    */
     }    cov[1]=1.;
     fscanf(ficpar,"\n");  
     printf("\n");    for(k=1; k<=nlstate; k++) ll[k]=0.;
     fprintf(ficparo,"\n");  
   }    for (i=1,ipmx=0, sw=0.; i<=imx; i++){
   for(i=1; i <=npar; i++)      for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];
     for(j=i+1;j<=npar;j++)      for(mi=1; mi<= wav[i]-1; mi++){
       matcov[i][j]=matcov[j][i];        for (ii=1;ii<=nlstate+ndeath;ii++)
              for (j=1;j<=nlstate+ndeath;j++){
   printf("\n");            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
             savm[ii][j]=(ii==j ? 1.0 : 0.0);
           }
     /*-------- data file ----------*/        for(d=0; d<dh[mi][i]; d++){
     if((ficres =fopen(fileres,"w"))==NULL) {          newm=savm;
       printf("Problem with resultfile: %s\n", fileres);goto end;          cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;
     }          for (kk=1; kk<=cptcovage;kk++) {
     fprintf(ficres,"#%s\n",version);            cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
              }
     if((fic=fopen(datafile,"r"))==NULL)    {          /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
       printf("Problem with datafile: %s\n", datafile);goto end;          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
     }                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
           /* out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath, */
     n= lastobs;          /*           1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate)); */
     severity = vector(1,maxwav);          savm=oldm;
     outcome=imatrix(1,maxwav+1,1,n);          oldm=newm;
     num=ivector(1,n);        } /* end mult */
     moisnais=vector(1,n);        
     annais=vector(1,n);        s1=s[mw[mi][i]][i];
     moisdc=vector(1,n);        s2=s[mw[mi+1][i]][i];
     andc=vector(1,n);        bbh=(double)bh[mi][i]/(double)stepm; 
     agedc=vector(1,n);        /* bias is positive if real duration
     cod=ivector(1,n);         * is higher than the multiple of stepm and negative otherwise.
     weight=vector(1,n);         */
     for(i=1;i<=n;i++) weight[i]=1.0; /* Equal weights, 1 by default */        if( s2 > nlstate && (mle <5) ){  /* Jackson */
     mint=matrix(1,maxwav,1,n);          lli=log(out[s1][s2] - savm[s1][s2]);
     anint=matrix(1,maxwav,1,n);        } else if  (s2==-2) {
     s=imatrix(1,maxwav+1,1,n);          for (j=1,survp=0. ; j<=nlstate; j++) 
     adl=imatrix(1,maxwav+1,1,n);                survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
     tab=ivector(1,NCOVMAX);          lli= log(survp);
     ncodemax=ivector(1,8);        }else if (mle==1){
           lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
     i=1;        } else if(mle==2){
     while (fgets(line, MAXLINE, fic) != NULL)    {          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 ((i >= firstobs) && (i <=lastobs)) {        } else if(mle==3){  /* exponential inter-extrapolation */
                  lli= (savm[s1][s2]>(double)1.e-8 ?(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]):log((1.+bbh)*out[s1][s2])); /* exponential inter-extrapolation */
         for (j=maxwav;j>=1;j--){        } else if (mle==4){  /* mle=4 no inter-extrapolation */
           cutv(stra, strb,line,' '); s[j][i]=atoi(strb);          lli=log(out[s1][s2]); /* Original formula */
           strcpy(line,stra);        } else{  /* mle=0 back to 1 */
           cutv(stra, strb,line,'/'); anint[j][i]=(double)(atoi(strb)); strcpy(line,stra);          lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
           cutv(stra, strb,line,' '); mint[j][i]=(double)(atoi(strb)); strcpy(line,stra);          /*lli=log(out[s1][s2]); */ /* Original formula */
         }        } /* End of if */
                ipmx +=1;
         cutv(stra, strb,line,'/'); andc[i]=(double)(atoi(strb)); strcpy(line,stra);        sw += weight[i];
         cutv(stra, strb,line,' '); moisdc[i]=(double)(atoi(strb)); strcpy(line,stra);        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
         /*printf("i=%6d s1=%1d s2=%1d mi=%1d mw=%1d dh=%3d prob=%10.6f w=%6.4f out=%10.6f sav=%10.6f\n",i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],out[s1][s2],savm[s1][s2]); */
         cutv(stra, strb,line,'/'); annais[i]=(double)(atoi(strb)); strcpy(line,stra);        if(globpr){
         cutv(stra, strb,line,' '); moisnais[i]=(double)(atoi(strb)); strcpy(line,stra);          fprintf(ficresilk,"%9ld %6d %2d %2d %1d %1d %3d %11.6f %8.4f\
    %11.6f %11.6f %11.6f ", \
         cutv(stra, strb,line,' '); weight[i]=(double)(atoi(strb)); strcpy(line,stra);                  num[i],i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],
         for (j=ncov;j>=1;j--){                  2*weight[i]*lli,out[s1][s2],savm[s1][s2]);
           cutv(stra, strb,line,' '); covar[j][i]=(double)(atoi(strb)); strcpy(line,stra);          for(k=1,llt=0.,l=0.; k<=nlstate; k++){
         }            llt +=ll[k]*gipmx/gsw;
         num[i]=atol(stra);            fprintf(ficresilk," %10.6f",-ll[k]*gipmx/gsw);
                  }
         /*if((s[2][i]==2) && (s[3][i]==-1)&&(s[4][i]==9)){          fprintf(ficresilk," %10.6f\n", -llt);
           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;}*/        }
       } /* end of wave */
         i=i+1;    } /* end of individual */
       }    for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
     }    /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
     /* printf("ii=%d", ij);    l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
        scanf("%d",i);*/    if(globpr==0){ /* First time we count the contributions and weights */
   imx=i-1; /* Number of individuals */      gipmx=ipmx;
       gsw=sw;
   /* for (i=1; i<=imx; i++){    }
     if ((s[1][i]==3) && (s[2][i]==2)) s[2][i]=3;    return -l;
     if ((s[2][i]==3) && (s[3][i]==2)) s[3][i]=3;  }
     if ((s[3][i]==3) && (s[4][i]==2)) s[4][i]=3;  
     }  
   /*************** function likelione ***********/
     for (i=1; i<=imx; i++)  void likelione(FILE *ficres,double p[], int npar, int nlstate, int *globpri, long *ipmx, double *sw, double *fretone, double (*funcone)(double []))
     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]));*/  {
     /* This routine should help understanding what is done with 
   /* Calculation of the number of parameter from char model*/       the selection of individuals/waves and
   Tvar=ivector(1,15);       to check the exact contribution to the likelihood.
   Tprod=ivector(1,15);       Plotting could be done.
   Tvaraff=ivector(1,15);     */
   Tvard=imatrix(1,15,1,2);    int k;
   Tage=ivector(1,15);        
        if(*globpri !=0){ /* Just counts and sums, no printings */
   if (strlen(model) >1){      strcpy(fileresilk,"ilk"); 
     j=0, j1=0, k1=1, k2=1;      strcat(fileresilk,fileres);
     j=nbocc(model,'+');      if((ficresilk=fopen(fileresilk,"w"))==NULL) {
     j1=nbocc(model,'*');        printf("Problem with resultfile: %s\n", fileresilk);
     cptcovn=j+1;        fprintf(ficlog,"Problem with resultfile: %s\n", fileresilk);
     cptcovprod=j1;      }
          fprintf(ficresilk, "#individual(line's_record) s1 s2 wave# effective_wave# number_of_matrices_product pij weight -2ln(pij)*weight 0pij_x 0pij_(x-stepm) cumulating_loglikeli_by_health_state(reweighted=-2ll*weightXnumber_of_contribs/sum_of_weights) and_total\n");
          fprintf(ficresilk, "#num_i i s1 s2 mi mw dh likeli weight 2wlli out sav ");
     strcpy(modelsav,model);      /*  i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],2*weight[i]*lli,out[s1][s2],savm[s1][s2]); */
     if ((strcmp(model,"age")==0) || (strcmp(model,"age*age")==0)){      for(k=1; k<=nlstate; k++) 
       printf("Error. Non available option model=%s ",model);        fprintf(ficresilk," -2*gipw/gsw*weight*ll[%d]++",k);
       goto end;      fprintf(ficresilk," -2*gipw/gsw*weight*ll(total)\n");
     }    }
      
     for(i=(j+1); i>=1;i--){    *fretone=(*funcone)(p);
       cutv(stra,strb,modelsav,'+');    if(*globpri !=0){
       if (nbocc(modelsav,'+')==0) strcpy(strb,modelsav);      fclose(ficresilk);
       /*      printf("i=%d a=%s b=%s sav=%s\n",i, stra,strb,modelsav);*/      fprintf(fichtm,"\n<br>File of contributions to the likelihood: <a href=\"%s\">%s</a><br>\n",subdirf(fileresilk),subdirf(fileresilk));
       /*scanf("%d",i);*/      fflush(fichtm); 
       if (strchr(strb,'*')) {    } 
         cutv(strd,strc,strb,'*');    return;
         if (strcmp(strc,"age")==0) {  }
           cptcovprod--;  
           cutv(strb,stre,strd,'V');  
           Tvar[i]=atoi(stre);  /*********** Maximum Likelihood Estimation ***************/
           cptcovage++;  
             Tage[cptcovage]=i;  void mlikeli(FILE *ficres,double p[], int npar, int ncovmodel, int nlstate, double ftol, double (*func)(double []))
             /*printf("stre=%s ", stre);*/  {
         }    int i,j, iter=0;
         else if (strcmp(strd,"age")==0) {    double **xi;
           cptcovprod--;    double fret;
           cutv(strb,stre,strc,'V');    double fretone; /* Only one call to likelihood */
           Tvar[i]=atoi(stre);    /*  char filerespow[FILENAMELENGTH];*/
           cptcovage++;  
           Tage[cptcovage]=i;  #ifdef NLOPT
         }    int creturn;
         else {    nlopt_opt opt;
           cutv(strb,stre,strc,'V');    /* double lb[9] = { -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL }; /\* lower bounds *\/ */
           Tvar[i]=ncov+k1;    double *lb;
           cutv(strb,strc,strd,'V');    double minf; /* the minimum objective value, upon return */
           Tprod[k1]=i;    double * p1; /* Shifted parameters from 0 instead of 1 */
           Tvard[k1][1]=atoi(strc);    myfunc_data dinst, *d = &dinst;
           Tvard[k1][2]=atoi(stre);  #endif
           Tvar[cptcovn+k2]=Tvard[k1][1];  
           Tvar[cptcovn+k2+1]=Tvard[k1][2];  
           for (k=1; k<=lastobs;k++)    xi=matrix(1,npar,1,npar);
             covar[ncov+k1][k]=covar[atoi(stre)][k]*covar[atoi(strc)][k];    for (i=1;i<=npar;i++)
           k1++;      for (j=1;j<=npar;j++)
           k2=k2+2;        xi[i][j]=(i==j ? 1.0 : 0.0);
         }    printf("Powell\n");  fprintf(ficlog,"Powell\n");
       }    strcpy(filerespow,"pow"); 
       else {    strcat(filerespow,fileres);
         /*printf("d=%s c=%s b=%s\n", strd,strc,strb);*/    if((ficrespow=fopen(filerespow,"w"))==NULL) {
        /*  scanf("%d",i);*/      printf("Problem with resultfile: %s\n", filerespow);
       cutv(strd,strc,strb,'V');      fprintf(ficlog,"Problem with resultfile: %s\n", filerespow);
       Tvar[i]=atoi(strc);    }
       }    fprintf(ficrespow,"# Powell\n# iter -2*LL");
       strcpy(modelsav,stra);      for (i=1;i<=nlstate;i++)
       /*printf("a=%s b=%s sav=%s\n", stra,strb,modelsav);      for(j=1;j<=nlstate+ndeath;j++)
         scanf("%d",i);*/        if(j!=i)fprintf(ficrespow," p%1d%1d",i,j);
     }    fprintf(ficrespow,"\n");
 }  #ifdef POWELL
      powell(p,xi,npar,ftol,&iter,&fret,func);
   /*printf("tvar1=%d tvar2=%d tvar3=%d cptcovage=%d Tage=%d",Tvar[1],Tvar[2],Tvar[3],cptcovage,Tage[1]);  #endif
   printf("cptcovprod=%d ", cptcovprod);  
   scanf("%d ",i);*/  #ifdef NLOPT
     fclose(fic);  #ifdef NEWUOA
     opt = nlopt_create(NLOPT_LN_NEWUOA,npar);
     /*  if(mle==1){*/  #else
     if (weightopt != 1) { /* Maximisation without weights*/    opt = nlopt_create(NLOPT_LN_BOBYQA,npar);
       for(i=1;i<=n;i++) weight[i]=1.0;  #endif
     }    lb=vector(0,npar-1);
     /*-calculation of age at interview from date of interview and age at death -*/    for (i=0;i<npar;i++) lb[i]= -HUGE_VAL;
     agev=matrix(1,maxwav,1,imx);    nlopt_set_lower_bounds(opt, lb);
     nlopt_set_initial_step1(opt, 0.1);
    for (i=1; i<=imx; i++)    
      for(m=2; (m<= maxwav); m++)    p1= (p+1); /*  p *(p+1)@8 and p *(p1)@8 are equal p1[0]=p[1] */
        if ((mint[m][i]== 99) && (s[m][i] <= nlstate)){    d->function = func;
          anint[m][i]=9999;    printf(" Func %.12lf \n",myfunc(npar,p1,NULL,d));
          s[m][i]=-1;    nlopt_set_min_objective(opt, myfunc, d);
        }    nlopt_set_xtol_rel(opt, ftol);
        if ((creturn=nlopt_optimize(opt, p1, &minf)) < 0) {
     for (i=1; i<=imx; i++)  {      printf("nlopt failed! %d\n",creturn); 
       agedc[i]=(moisdc[i]/12.+andc[i])-(moisnais[i]/12.+annais[i]);    }
       for(m=1; (m<= maxwav); m++){    else {
         if(s[m][i] >0){      printf("found minimum after %d evaluations (NLOPT=%d)\n", countcallfunc ,NLOPT);
           if (s[m][i] == nlstate+1) {      printf("found minimum at f(%g,%g) = %0.10g\n", p[0], p[1], minf);
             if(agedc[i]>0)      iter=1; /* not equal */
               if(moisdc[i]!=99 && andc[i]!=9999)    }
               agev[m][i]=agedc[i];    nlopt_destroy(opt);
             else {  #endif
               if (andc[i]!=9999){    free_matrix(xi,1,npar,1,npar);
               printf("Warning negative age at death: %d line:%d\n",num[i],i);    fclose(ficrespow);
               agev[m][i]=-1;    printf("\n#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
               }    fprintf(ficlog,"\n#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
             }    fprintf(ficres,"\n#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
           }  
           else if(s[m][i] !=9){ /* Should no more exist */  }
             agev[m][i]=(mint[m][i]/12.+1./24.+anint[m][i])-(moisnais[i]/12.+1./24.+annais[i]);  
             if(mint[m][i]==99 || anint[m][i]==9999)  /**** Computes Hessian and covariance matrix ***/
               agev[m][i]=1;  void hesscov(double **matcov, double p[], int npar, double delti[], double ftolhess, double (*func)(double []))
             else if(agev[m][i] <agemin){  {
               agemin=agev[m][i];    double  **a,**y,*x,pd;
               /*printf(" Min anint[%d][%d]=%.2f annais[%d]=%.2f, agemin=%.2f\n",m,i,anint[m][i], i,annais[i], agemin);*/    double **hess;
             }    int i, j;
             else if(agev[m][i] >agemax){    int *indx;
               agemax=agev[m][i];  
              /* printf(" anint[%d][%d]=%.0f annais[%d]=%.0f, agemax=%.0f\n",m,i,anint[m][i], i,annais[i], agemax);*/    double hessii(double p[], double delta, int theta, double delti[],double (*func)(double []),int npar);
             }    double hessij(double p[], double delti[], int i, int j,double (*func)(double []),int npar);
             /*agev[m][i]=anint[m][i]-annais[i];*/    void lubksb(double **a, int npar, int *indx, double b[]) ;
             /*   agev[m][i] = age[i]+2*m;*/    void ludcmp(double **a, int npar, int *indx, double *d) ;
           }    double gompertz(double p[]);
           else { /* =9 */    hess=matrix(1,npar,1,npar);
             agev[m][i]=1;  
             s[m][i]=-1;    printf("\nCalculation of the hessian matrix. Wait...\n");
           }    fprintf(ficlog,"\nCalculation of the hessian matrix. Wait...\n");
         }    for (i=1;i<=npar;i++){
         else /*= 0 Unknown */      printf("%d",i);fflush(stdout);
           agev[m][i]=1;      fprintf(ficlog,"%d",i);fflush(ficlog);
       }     
           hess[i][i]=hessii(p,ftolhess,i,delti,func,npar);
     }      
     for (i=1; i<=imx; i++)  {      /*  printf(" %f ",p[i]);
       for(m=1; (m<= maxwav); m++){          printf(" %lf %lf %lf",hess[i][i],ftolhess,delti[i]);*/
         if (s[m][i] > (nlstate+ndeath)) {    }
           printf("Error: Wrong value in nlstate or ndeath\n");      
           goto end;    for (i=1;i<=npar;i++) {
         }      for (j=1;j<=npar;j++)  {
       }        if (j>i) { 
     }          printf(".%d%d",i,j);fflush(stdout);
           fprintf(ficlog,".%d%d",i,j);fflush(ficlog);
 printf("Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, agemin, agemax);          hess[i][j]=hessij(p,delti,i,j,func,npar);
           
     free_vector(severity,1,maxwav);          hess[j][i]=hess[i][j];    
     free_imatrix(outcome,1,maxwav+1,1,n);          /*printf(" %lf ",hess[i][j]);*/
     free_vector(moisnais,1,n);        }
     free_vector(annais,1,n);      }
     /* free_matrix(mint,1,maxwav,1,n);    }
        free_matrix(anint,1,maxwav,1,n);*/    printf("\n");
     free_vector(moisdc,1,n);    fprintf(ficlog,"\n");
     free_vector(andc,1,n);  
     printf("\nInverting the hessian to get the covariance matrix. Wait...\n");
        fprintf(ficlog,"\nInverting the hessian to get the covariance matrix. Wait...\n");
     wav=ivector(1,imx);    
     dh=imatrix(1,lastpass-firstpass+1,1,imx);    a=matrix(1,npar,1,npar);
     mw=imatrix(1,lastpass-firstpass+1,1,imx);    y=matrix(1,npar,1,npar);
        x=vector(1,npar);
     /* Concatenates waves */    indx=ivector(1,npar);
       concatwav(wav, dh, mw, s, agedc, agev,  firstpass, lastpass, imx, nlstate, stepm);    for (i=1;i<=npar;i++)
       for (j=1;j<=npar;j++) a[i][j]=hess[i][j];
     ludcmp(a,npar,indx,&pd);
       Tcode=ivector(1,100);  
       nbcode=imatrix(0,NCOVMAX,0,NCOVMAX);    for (j=1;j<=npar;j++) {
       ncodemax[1]=1;      for (i=1;i<=npar;i++) x[i]=0;
       if (cptcovn > 0) tricode(Tvar,nbcode,imx);      x[j]=1;
            lubksb(a,npar,indx,x);
    codtab=imatrix(1,100,1,10);      for (i=1;i<=npar;i++){ 
    h=0;        matcov[i][j]=x[i];
    m=pow(2,cptcoveff);      }
      }
    for(k=1;k<=cptcoveff; k++){  
      for(i=1; i <=(m/pow(2,k));i++){    printf("\n#Hessian matrix#\n");
        for(j=1; j <= ncodemax[k]; j++){    fprintf(ficlog,"\n#Hessian matrix#\n");
          for(cpt=1; cpt <=(m/pow(2,cptcoveff+1-k)); cpt++){    for (i=1;i<=npar;i++) { 
            h++;      for (j=1;j<=npar;j++) { 
            if (h>m) h=1;codtab[h][k]=j;        printf("%.3e ",hess[i][j]);
          }        fprintf(ficlog,"%.3e ",hess[i][j]);
        }      }
      }      printf("\n");
    }      fprintf(ficlog,"\n");
     }
   
    /*for(i=1; i <=m ;i++){    /* Recompute Inverse */
      for(k=1; k <=cptcovn; k++){    for (i=1;i<=npar;i++)
        printf("i=%d k=%d %d %d",i,k,codtab[i][k], cptcoveff);      for (j=1;j<=npar;j++) a[i][j]=matcov[i][j];
      }    ludcmp(a,npar,indx,&pd);
      printf("\n");  
    }    /*  printf("\n#Hessian matrix recomputed#\n");
    scanf("%d",i);*/  
        for (j=1;j<=npar;j++) {
    /* Calculates basic frequencies. Computes observed prevalence at single age      for (i=1;i<=npar;i++) x[i]=0;
        and prints on file fileres'p'. */      x[j]=1;
       lubksb(a,npar,indx,x);
          for (i=1;i<=npar;i++){ 
            y[i][j]=x[i];
     pmmij= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */        printf("%.3e ",y[i][j]);
     oldms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */        fprintf(ficlog,"%.3e ",y[i][j]);
     newms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */      }
     savms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */      printf("\n");
     oldm=oldms; newm=newms; savm=savms; /* Keeps fixed addresses to free */      fprintf(ficlog,"\n");
          }
     /* 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) */    free_matrix(a,1,npar,1,npar);
     free_matrix(y,1,npar,1,npar);
     if(mle==1){    free_vector(x,1,npar);
     mlikeli(ficres,p, npar, ncovmodel, nlstate, ftol, func);    free_ivector(indx,1,npar);
     }    free_matrix(hess,1,npar,1,npar);
      
     /*--------- results files --------------*/  
     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);  }
    
   /*************** hessian matrix ****************/
    jk=1;  double hessii(double x[], double delta, int theta, double delti[], double (*func)(double []), int npar)
    fprintf(ficres,"# Parameters\n");  {
    printf("# Parameters\n");    int i;
    for(i=1,jk=1; i <=nlstate; i++){    int l=1, lmax=20;
      for(k=1; k <=(nlstate+ndeath); k++){    double k1,k2;
        if (k != i)    double p2[MAXPARM+1]; /* identical to x */
          {    double res;
            printf("%d%d ",i,k);    double delt=0.0001, delts, nkhi=10.,nkhif=1., khi=1.e-4;
            fprintf(ficres,"%1d%1d ",i,k);    double fx;
            for(j=1; j <=ncovmodel; j++){    int k=0,kmax=10;
              printf("%f ",p[jk]);    double l1;
              fprintf(ficres,"%f ",p[jk]);  
              jk++;    fx=func(x);
            }    for (i=1;i<=npar;i++) p2[i]=x[i];
            printf("\n");    for(l=0 ; l <=lmax; l++){  /* Enlarging the zone around the Maximum */
            fprintf(ficres,"\n");      l1=pow(10,l);
          }      delts=delt;
      }      for(k=1 ; k <kmax; k=k+1){
    }        delt = delta*(l1*k);
  if(mle==1){        p2[theta]=x[theta] +delt;
     /* Computing hessian and covariance matrix */        k1=func(p2)-fx;   /* Might be negative if too close to the theoretical maximum */
     ftolhess=ftol; /* Usually correct */        p2[theta]=x[theta]-delt;
     hesscov(matcov, p, npar, delti, ftolhess, func);        k2=func(p2)-fx;
  }        /*res= (k1-2.0*fx+k2)/delt/delt; */
     fprintf(ficres,"# Scales\n");        res= (k1+k2)/delt/delt/2.; /* Divided by because L and not 2*L */
     printf("# Scales\n");        
      for(i=1,jk=1; i <=nlstate; i++){  #ifdef DEBUGHESS
       for(j=1; j <=nlstate+ndeath; j++){        printf("%d %d k1=%.12e k2=%.12e xk1=%.12e xk2=%.12e delt=%.12e res=%.12e l=%d k=%d,fx=%.12e\n",theta,theta,k1,k2,x[theta]+delt,x[theta]-delt,delt,res, l, k,fx);
         if (j!=i) {        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);
           fprintf(ficres,"%1d%1d",i,j);  #endif
           printf("%1d%1d",i,j);        /*if(fabs(k1-2.0*fx+k2) <1.e-13){ */
           for(k=1; k<=ncovmodel;k++){        if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)){
             printf(" %.5e",delti[jk]);          k=kmax;
             fprintf(ficres," %.5e",delti[jk]);        }
             jk++;        else if((k1 >khi/nkhif) || (k2 >khi/nkhif)){ /* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. */
           }          k=kmax; l=lmax*10;
           printf("\n");        }
           fprintf(ficres,"\n");        else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){ 
         }          delts=delt;
       }        }
      }      }
        }
     k=1;    delti[theta]=delts;
     fprintf(ficres,"# Covariance\n");    return res; 
     printf("# Covariance\n");    
     for(i=1;i<=npar;i++){  }
       /*  if (k>nlstate) k=1;  
       i1=(i-1)/(ncovmodel*nlstate)+1;  double hessij( double x[], double delti[], int thetai,int thetaj,double (*func)(double []),int npar)
       fprintf(ficres,"%s%d%d",alph[k],i1,tab[i]);  {
       printf("%s%d%d",alph[k],i1,tab[i]);*/    int i;
       fprintf(ficres,"%3d",i);    int l=1, lmax=20;
       printf("%3d",i);    double k1,k2,k3,k4,res,fx;
       for(j=1; j<=i;j++){    double p2[MAXPARM+1];
         fprintf(ficres," %.5e",matcov[i][j]);    int k;
         printf(" %.5e",matcov[i][j]);  
       }    fx=func(x);
       fprintf(ficres,"\n");    for (k=1; k<=2; k++) {
       printf("\n");      for (i=1;i<=npar;i++) p2[i]=x[i];
       k++;      p2[thetai]=x[thetai]+delti[thetai]/k;
     }      p2[thetaj]=x[thetaj]+delti[thetaj]/k;
          k1=func(p2)-fx;
     while((c=getc(ficpar))=='#' && c!= EOF){    
       ungetc(c,ficpar);      p2[thetai]=x[thetai]+delti[thetai]/k;
       fgets(line, MAXLINE, ficpar);      p2[thetaj]=x[thetaj]-delti[thetaj]/k;
       puts(line);      k2=func(p2)-fx;
       fputs(line,ficparo);    
     }      p2[thetai]=x[thetai]-delti[thetai]/k;
     ungetc(c,ficpar);      p2[thetaj]=x[thetaj]+delti[thetaj]/k;
        k3=func(p2)-fx;
     fscanf(ficpar,"agemin=%lf agemax=%lf bage=%lf fage=%lf\n",&agemin,&agemax, &bage, &fage);    
          p2[thetai]=x[thetai]-delti[thetai]/k;
     if (fage <= 2) {      p2[thetaj]=x[thetaj]-delti[thetaj]/k;
       bage = agemin;      k4=func(p2)-fx;
       fage = agemax;      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);
     fprintf(ficres,"# agemin agemax for life expectancy, bage fage (if mle==0 ie no data nor Max likelihood).\n");      fprintf(ficlog,"%d %d k=%d, k1=%.12e k2=%.12e k3=%.12e k4=%.12e delti/k=%.12e deltj/k=%.12e, xi-de/k=%.12e xj-de/k=%.12e  res=%.12e k1234=%.12e,k1-2=%.12e,k3-4=%.12e\n",thetai,thetaj,k,k1,k2,k3,k4,delti[thetai]/k,delti[thetaj]/k,x[thetai]-delti[thetai]/k,x[thetaj]-delti[thetaj]/k, res,k1-k2-k3+k4,k1-k2,k3-k4);
     fprintf(ficres,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f\n",agemin,agemax,bage,fage);  #endif
     fprintf(ficparo,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f\n",agemin,agemax,bage,fage);    }
      return res;
     while((c=getc(ficpar))=='#' && c!= EOF){  }
     ungetc(c,ficpar);  
     fgets(line, MAXLINE, ficpar);  /************** Inverse of matrix **************/
     puts(line);  void ludcmp(double **a, int n, int *indx, double *d) 
     fputs(line,ficparo);  { 
   }    int i,imax,j,k; 
   ungetc(c,ficpar);    double big,dum,sum,temp; 
      double *vv; 
   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);   
   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);    vv=vector(1,n); 
  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);    *d=1.0; 
          for (i=1;i<=n;i++) { 
   while((c=getc(ficpar))=='#' && c!= EOF){      big=0.0; 
     ungetc(c,ficpar);      for (j=1;j<=n;j++) 
     fgets(line, MAXLINE, ficpar);        if ((temp=fabs(a[i][j])) > big) big=temp; 
     puts(line);      if (big == 0.0) nrerror("Singular matrix in routine ludcmp"); 
     fputs(line,ficparo);      vv[i]=1.0/big; 
   }    } 
   ungetc(c,ficpar);    for (j=1;j<=n;j++) { 
        for (i=1;i<j;i++) { 
         sum=a[i][j]; 
    dateprev1=anprev1+mprev1/12.+jprev1/365.;        for (k=1;k<i;k++) sum -= a[i][k]*a[k][j]; 
    dateprev2=anprev2+mprev2/12.+jprev2/365.;        a[i][j]=sum; 
       } 
   fscanf(ficpar,"pop_based=%d\n",&popbased);      big=0.0; 
    fprintf(ficparo,"pop_based=%d\n",popbased);        for (i=j;i<=n;i++) { 
    fprintf(ficres,"pop_based=%d\n",popbased);          sum=a[i][j]; 
         for (k=1;k<j;k++) 
   while((c=getc(ficpar))=='#' && c!= EOF){          sum -= a[i][k]*a[k][j]; 
     ungetc(c,ficpar);        a[i][j]=sum; 
     fgets(line, MAXLINE, ficpar);        if ( (dum=vv[i]*fabs(sum)) >= big) { 
     puts(line);          big=dum; 
     fputs(line,ficparo);          imax=i; 
   }        } 
   ungetc(c,ficpar);      } 
   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);      if (j != imax) { 
 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);        for (k=1;k<=n;k++) { 
 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);          dum=a[imax][k]; 
           a[imax][k]=a[j][k]; 
  freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvar,nbcode, ncodemax,mint,anint,dateprev1,dateprev2);          a[j][k]=dum; 
         } 
            *d = -(*d); 
     /*------------ gnuplot -------------*/        vv[imax]=vv[j]; 
     /*chdir(pathcd);*/      } 
     strcpy(optionfilegnuplot,optionfilefiname);      indx[j]=imax; 
     strcat(optionfilegnuplot,".plt");      if (a[j][j] == 0.0) a[j][j]=TINY; 
     if((ficgp=fopen(optionfilegnuplot,"w"))==NULL) {      if (j != n) { 
       printf("Problem with file %s",optionfilegnuplot);goto end;        dum=1.0/(a[j][j]); 
     }        for (i=j+1;i<=n;i++) a[i][j] *= dum; 
 #ifdef windows      } 
     fprintf(ficgp,"cd \"%s\" \n",pathc);    } 
 #endif    free_vector(vv,1,n);  /* Doesn't work */
 m=pow(2,cptcoveff);  ;
    } 
  /* 1eme*/  
   for (cpt=1; cpt<= nlstate ; cpt ++) {  void lubksb(double **a, int n, int *indx, double b[]) 
    for (k1=1; k1<= m ; k1 ++) {  { 
     int i,ii=0,ip,j; 
 #ifdef windows    double sum; 
     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);   
 #endif    for (i=1;i<=n;i++) { 
 #ifdef unix      ip=indx[i]; 
 fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \nplot [%.f:%.f] \"vpl%s\" u 1:2 \"\%%lf",agemin,fage,fileres);      sum=b[ip]; 
 #endif      b[ip]=b[i]; 
       if (ii) 
 for (i=1; i<= nlstate ; i ++) {        for (j=ii;j<=i-1;j++) sum -= a[i][j]*b[j]; 
   if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");      else if (sum) ii=i; 
   else fprintf(ficgp," \%%*lf (\%%*lf)");      b[i]=sum; 
 }    } 
     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=n;i>=1;i--) { 
     for (i=1; i<= nlstate ; i ++) {      sum=b[i]; 
   if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");      for (j=i+1;j<=n;j++) sum -= a[i][j]*b[j]; 
   else fprintf(ficgp," \%%*lf (\%%*lf)");      b[i]=sum/a[i][i]; 
 }    } 
   fprintf(ficgp,"\" t\"95\%% CI\" w l 1,\"vpl%s\" every :::%d::%d u 1:($2-2*$3) \"\%%lf",fileres,k1-1,k1-1);  } 
      for (i=1; i<= nlstate ; i ++) {  
   if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");  void pstamp(FILE *fichier)
   else fprintf(ficgp," \%%*lf (\%%*lf)");  {
 }      fprintf(fichier,"# %s.%s\n#%s\n#%s\n# %s", optionfilefiname,optionfilext,version,fullversion,strstart);
      fprintf(ficgp,"\" t\"\" w l 1,\"p%s\" every :::%d::%d u 1:($%d) t\"Observed prevalence \" w l 2",fileres,k1-1,k1-1,2+4*(cpt-1));  }
 #ifdef unix  
 fprintf(ficgp,"\nset ter gif small size 400,300");  /************ Frequencies ********************/
 #endif  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[])
 fprintf(ficgp,"\nset out \"v%s%d%d.gif\" \nreplot\n\n",strtok(optionfile, "."),cpt,k1);  {  /* Some frequencies */
    }    
   }    int i, m, jk, j1, bool, z1,j;
   /*2 eme*/    int first;
     double ***freq; /* Frequencies */
   for (k1=1; k1<= m ; k1 ++) {    double *pp, **prop;
     fprintf(ficgp,"set ylabel \"Years\" \nset ter gif small size 400,300\nplot [%.f:%.f] ",agemin,fage);    double pos,posprop, k2, dateintsum=0,k2cpt=0;
        char fileresp[FILENAMELENGTH];
     for (i=1; i<= nlstate+1 ; i ++) {    
       k=2*i;    pp=vector(1,nlstate);
       fprintf(ficgp,"\"t%s\" every :::%d::%d u 1:2 \"\%%lf",fileres,k1-1,k1-1);    prop=matrix(1,nlstate,iagemin,iagemax+3);
       for (j=1; j<= nlstate+1 ; j ++) {    strcpy(fileresp,"p");
   if (j==i) fprintf(ficgp," \%%lf (\%%lf)");    strcat(fileresp,fileres);
   else fprintf(ficgp," \%%*lf (\%%*lf)");    if((ficresp=fopen(fileresp,"w"))==NULL) {
 }        printf("Problem with prevalence resultfile: %s\n", fileresp);
       if (i== 1) fprintf(ficgp,"\" t\"TLE\" w l ,");      fprintf(ficlog,"Problem with prevalence resultfile: %s\n", fileresp);
       else fprintf(ficgp,"\" t\"LE in state (%d)\" w l ,",i-1);      exit(0);
     fprintf(ficgp,"\"t%s\" every :::%d::%d u 1:($2-$3*2) \"\%%lf",fileres,k1-1,k1-1);    }
       for (j=1; j<= nlstate+1 ; j ++) {    freq= ma3x(-5,nlstate+ndeath,-5,nlstate+ndeath,iagemin,iagemax+3);
         if (j==i) fprintf(ficgp," \%%lf (\%%lf)");    j1=0;
         else fprintf(ficgp," \%%*lf (\%%*lf)");    
 }      j=cptcoveff;
       fprintf(ficgp,"\" t\"\" w l 0,");    if (cptcovn<1) {j=1;ncodemax[1]=1;}
      fprintf(ficgp,"\"t%s\" every :::%d::%d u 1:($2+$3*2) \"\%%lf",fileres,k1-1,k1-1);  
       for (j=1; j<= nlstate+1 ; j ++) {    first=1;
   if (j==i) fprintf(ficgp," \%%lf (\%%lf)");  
   else fprintf(ficgp," \%%*lf (\%%*lf)");    /* for(k1=1; k1<=j ; k1++){ */  /* Loop on covariates */
 }      /*  for(i1=1; i1<=ncodemax[k1];i1++){ */ /* Now it is 2 */
       if (i== (nlstate+1)) fprintf(ficgp,"\" t\"\" w l 0");    /*    j1++; */
       else fprintf(ficgp,"\" t\"\" w l 0,");    for (j1 = 1; j1 <= (int) pow(2,cptcoveff); j1++){
     }        /*printf("cptcoveff=%d Tvaraff=%d", cptcoveff,Tvaraff[1]);
     fprintf(ficgp,"\nset out \"e%s%d.gif\" \nreplot\n\n",strtok(optionfile, "."),k1);          scanf("%d", i);*/
   }        for (i=-5; i<=nlstate+ndeath; i++)  
            for (jk=-5; jk<=nlstate+ndeath; jk++)  
   /*3eme*/            for(m=iagemin; m <= iagemax+3; m++)
               freq[i][jk][m]=0;
   for (k1=1; k1<= m ; k1 ++) {        
     for (cpt=1; cpt<= nlstate ; cpt ++) {        for (i=1; i<=nlstate; i++)  
       k=2+nlstate*(cpt-1);          for(m=iagemin; m <= iagemax+3; m++)
       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);            prop[i][m]=0;
       for (i=1; i< nlstate ; i ++) {        
         fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:%d t \"e%d%d\" w l",fileres,k1-1,k1-1,k+i,cpt,i+1);        dateintsum=0;
       }        k2cpt=0;
       fprintf(ficgp,"\nset out \"exp%s%d%d.gif\" \nreplot\n\n",strtok(optionfile, "."),cpt,k1);        for (i=1; i<=imx; i++) {
     }          bool=1;
   }          if  (cptcovn>0) { /* Filter is here: Must be looked at for model=V1+V2+V3+V4 */
              for (z1=1; z1<=cptcoveff; z1++)       
   /* CV preval stat */              if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtab[j1][z1]]){
   for (k1=1; k1<= m ; k1 ++) {                  /* Tests if the value of each of the covariates of i is equal to filter j1 */
     for (cpt=1; cpt<nlstate ; cpt ++) {                bool=0;
       k=3;                /* printf("bool=%d i=%d, z1=%d, Tvaraff[%d]=%d, covar[Tvarff][%d]=%2f, codtab[%d][%d]=%d, nbcode[Tvaraff][codtab[%d][%d]=%d, j1=%d\n", 
       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/($%d",agemin,agemax,fileres,k1,k+cpt+1,k+1);                  bool,i,z1, z1, Tvaraff[z1],i,covar[Tvaraff[z1]][i],j1,z1,codtab[j1][z1],
       for (i=1; i< nlstate ; i ++)                  j1,z1,nbcode[Tvaraff[z1]][codtab[j1][z1]],j1);*/
         fprintf(ficgp,"+$%d",k+i+1);                /* For j1=7 in V1+V2+V3+V4 = 0 1 1 0 and codtab[7][3]=1 and nbcde[3][?]=1*/
       fprintf(ficgp,")) t\"prev(%d,%d)\" w l",cpt,cpt+1);              } 
                }
       l=3+(nlstate+ndeath)*cpt;   
       fprintf(ficgp,",\"pij%s\" u ($1==%d ? ($3):1/0):($%d/($%d",fileres,k1,l+cpt+1,l+1);          if (bool==1){
       for (i=1; i< nlstate ; i ++) {            for(m=firstpass; m<=lastpass; m++){
         l=3+(nlstate+ndeath)*cpt;              k2=anint[m][i]+(mint[m][i]/12.);
         fprintf(ficgp,"+$%d",l+i+1);              /*if ((k2>=dateprev1) && (k2<=dateprev2)) {*/
       }                if(agev[m][i]==0) agev[m][i]=iagemax+1;
       fprintf(ficgp,")) t\"prev(%d,%d)\" w l\n",cpt+1,cpt+1);                  if(agev[m][i]==1) agev[m][i]=iagemax+2;
       fprintf(ficgp,"set out \"p%s%d%d.gif\" \nreplot\n\n",strtok(optionfile, "."),cpt,k1);                if (s[m][i]>0 && s[m][i]<=nlstate) prop[s[m][i]][(int)agev[m][i]] += weight[i];
     }                if (m<lastpass) {
   }                    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];
   /* proba elementaires */                }
    for(i=1,jk=1; i <=nlstate; i++){                
     for(k=1; k <=(nlstate+ndeath); k++){                if ((agev[m][i]>1) && (agev[m][i]< (iagemax+3))) {
       if (k != i) {                  dateintsum=dateintsum+k2;
         for(j=1; j <=ncovmodel; j++){                  k2cpt++;
           /*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]);            }
           jk++;          }
           fprintf(ficgp,"\n");        } /* end i */
         }         
       }        /*      fprintf(ficresp, "#Count between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);*/
     }        pstamp(ficresp);
     }        if  (cptcovn>0) {
           fprintf(ficresp, "\n#********** Variable "); 
   for(jk=1; jk <=m; jk++) {          for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresp, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
   fprintf(ficgp,"\nset ter gif small size 400,300\nset log y\nplot  [%.f:%.f] ",agemin,agemax);          fprintf(ficresp, "**********\n#");
    i=1;          fprintf(ficlog, "\n#********** Variable "); 
    for(k2=1; k2<=nlstate; k2++) {          for (z1=1; z1<=cptcoveff; z1++) fprintf(ficlog, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
      k3=i;          fprintf(ficlog, "**********\n#");
      for(k=1; k<=(nlstate+ndeath); k++) {        }
        if (k != k2){        for(i=1; i<=nlstate;i++) 
         fprintf(ficgp," exp(p%d+p%d*x",i,i+1);          fprintf(ficresp, " Age Prev(%d) N(%d) N",i,i);
 ij=1;        fprintf(ficresp, "\n");
         for(j=3; j <=ncovmodel; j++) {        
           if(((j-2)==Tage[ij]) &&(ij <=cptcovage)) {        for(i=iagemin; i <= iagemax+3; i++){
             fprintf(ficgp,"+p%d*%d*x",i+j-1,nbcode[Tvar[j-2]][codtab[jk][Tvar[j-2]]]);          if(i==iagemax+3){
             ij++;            fprintf(ficlog,"Total");
           }          }else{
           else            if(first==1){
           fprintf(ficgp,"+p%d*%d",i+j-1,nbcode[Tvar[j-2]][codtab[jk][j-2]]);              first=0;
         }              printf("See log file for details...\n");
           fprintf(ficgp,")/(1");            }
                    fprintf(ficlog,"Age %d", i);
         for(k1=1; k1 <=nlstate; k1++){            }
           fprintf(ficgp,"+exp(p%d+p%d*x",k3+(k1-1)*ncovmodel,k3+(k1-1)*ncovmodel+1);          for(jk=1; jk <=nlstate ; jk++){
 ij=1;            for(m=-1, pp[jk]=0; m <=nlstate+ndeath ; m++)
           for(j=3; j <=ncovmodel; j++){              pp[jk] += freq[jk][m][i]; 
           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]]]);          for(jk=1; jk <=nlstate ; jk++){
             ij++;            for(m=-1, pos=0; m <=0 ; m++)
           }              pos += freq[jk][m][i];
           else            if(pp[jk]>=1.e-10){
             fprintf(ficgp,"+p%d*%d",k3+(k1-1)*ncovmodel+1+j-2,nbcode[Tvar[j-2]][codtab[jk][j-2]]);              if(first==1){
           }                printf(" %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);
           fprintf(ficgp,")");              }
         }              fprintf(ficlog," %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);
         fprintf(ficgp,") t \"p%d%d\" ", k2,k);            }else{
         if ((k+k2)!= (nlstate*2+ndeath)) fprintf(ficgp,",");              if(first==1)
         i=i+ncovmodel;                printf(" %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);
        }              fprintf(ficlog," %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);
      }            }
    }          }
    fprintf(ficgp,"\nset out \"pe%s%d.gif\" \nreplot\n\n",strtok(optionfile, "."),jk);  
   }          for(jk=1; jk <=nlstate ; jk++){
                for(m=0, pp[jk]=0; m <=nlstate+ndeath; m++)
   fclose(ficgp);              pp[jk] += freq[jk][m][i];
   /* end gnuplot */          }       
              for(jk=1,pos=0,posprop=0; jk <=nlstate ; jk++){
 chdir(path);            pos += pp[jk];
                posprop += prop[jk][i];
     free_ivector(wav,1,imx);          }
     free_imatrix(dh,1,lastpass-firstpass+1,1,imx);          for(jk=1; jk <=nlstate ; jk++){
     free_imatrix(mw,1,lastpass-firstpass+1,1,imx);              if(pos>=1.e-5){
     free_ivector(num,1,n);              if(first==1)
     free_vector(agedc,1,n);                printf(" %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);
     /*free_matrix(covar,1,NCOVMAX,1,n);*/              fprintf(ficlog," %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);
     fclose(ficparo);            }else{
     fclose(ficres);              if(first==1)
     /*  }*/                printf(" %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);
                  fprintf(ficlog," %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);
    /*________fin mle=1_________*/            }
                if( i <= iagemax){
               if(pos>=1.e-5){
                  fprintf(ficresp," %d %.5f %.0f %.0f",i,prop[jk][i]/posprop, prop[jk][i],posprop);
     /* No more information from the sample is required now */                /*probs[i][jk][j1]= pp[jk]/pos;*/
   /* Reads comments: lines beginning with '#' */                /*printf("\ni=%d jk=%d j1=%d %.5f %.0f %.0f %f",i,jk,j1,pp[jk]/pos, pp[jk],pos,probs[i][jk][j1]);*/
   while((c=getc(ficpar))=='#' && c!= EOF){              }
     ungetc(c,ficpar);              else
     fgets(line, MAXLINE, ficpar);                fprintf(ficresp," %d NaNq %.0f %.0f",i,prop[jk][i],posprop);
     puts(line);            }
     fputs(line,ficparo);          }
   }          
   ungetc(c,ficpar);          for(jk=-1; jk <=nlstate+ndeath; jk++)
              for(m=-1; m <=nlstate+ndeath; m++)
   fscanf(ficpar,"agemin=%lf agemax=%lf bage=%lf fage=%lf\n",&agemin,&agemax, &bage, &fage);              if(freq[jk][m][i] !=0 ) {
   printf("agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f\n",agemin,agemax, bage, fage);              if(first==1)
   fprintf(ficparo,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f\n",agemin,agemax,bage,fage);                printf(" %d%d=%.0f",jk,m,freq[jk][m][i]);
 /*--------- index.htm --------*/                fprintf(ficlog," %d%d=%.0f",jk,m,freq[jk][m][i]);
               }
   strcpy(optionfilehtm,optionfile);          if(i <= iagemax)
   strcat(optionfilehtm,".htm");            fprintf(ficresp,"\n");
   if((fichtm=fopen(optionfilehtm,"w"))==NULL)    {          if(first==1)
     printf("Problem with %s \n",optionfilehtm);goto end;            printf("Others in log...\n");
   }          fprintf(ficlog,"\n");
         }
  fprintf(fichtm,"<body><ul> <font size=\"6\">Imach, Version 0.7 </font> <hr size=\"2\" color=\"#EC5E5E\">        /*}*/
 Titre=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=%s<br>    }
 Total number of observations=%d <br>    dateintmean=dateintsum/k2cpt; 
 Interval (in months) between two waves: Min=%d Max=%d Mean=%.2lf<br>   
 <hr  size=\"2\" color=\"#EC5E5E\">    fclose(ficresp);
 <li>Outputs files<br><br>\n    free_ma3x(freq,-5,nlstate+ndeath,-5,nlstate+ndeath, iagemin, iagemax+3);
         - Observed prevalence in each state: <a href=\"p%s\">p%s</a> <br>\n    free_vector(pp,1,nlstate);
 - Estimated parameters and the covariance matrix: <a href=\"%s\">%s</a> <br>    free_matrix(prop,1,nlstate,iagemin, iagemax+3);
         - Stationary prevalence in each state: <a href=\"pl%s\">pl%s</a> <br>    /* End of Freq */
         - Transition probabilities: <a href=\"pij%s\">pij%s</a><br>  }
         - 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>  /************ Prevalence ********************/
         - Variances of life expectancies by age and initial health status: <a href=\"v%s\">v%s</a><br>  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)
         - Health expectancies with their variances: <a href=\"t%s\">t%s</a> <br>  {  
         - Standard deviation of stationary prevalences: <a href=\"vpl%s\">vpl%s</a> <br>    /* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people
         - Prevalences and population forecasting: <a href=\"f%s\">f%s</a> <br>       in each health status at the date of interview (if between dateprev1 and dateprev2).
 <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);       We still use firstpass and lastpass as another selection.
     */
  fprintf(fichtm," <li>Graphs</li><p>");   
     int i, m, jk, j1, bool, z1,j;
  m=cptcoveff;  
  if (cptcovn < 1) {m=1;ncodemax[1]=1;}    double **prop;
     double posprop; 
  j1=0;    double  y2; /* in fractional years */
  for(k1=1; k1<=m;k1++){    int iagemin, iagemax;
    for(i1=1; i1<=ncodemax[k1];i1++){    int first; /** to stop verbosity which is redirected to log file */
        j1++;  
        if (cptcovn > 0) {    iagemin= (int) agemin;
          fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");    iagemax= (int) agemax;
          for (cpt=1; cpt<=cptcoveff;cpt++)    /*pp=vector(1,nlstate);*/
            fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtab[j1][cpt]]);    prop=matrix(1,nlstate,iagemin,iagemax+3); 
          fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");    /*  freq=ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,iagemin,iagemax+3);*/
        }    j1=0;
        fprintf(fichtm,"<br>- Probabilities: pe%s%d.gif<br>    
 <img src=\"pe%s%d.gif\">",strtok(optionfile, "."),j1,strtok(optionfile, "."),j1);        /*j=cptcoveff;*/
        for(cpt=1; cpt<nlstate;cpt++){    if (cptcovn<1) {j=1;ncodemax[1]=1;}
          fprintf(fichtm,"<br>- Prevalence of disability : p%s%d%d.gif<br>    
 <img src=\"p%s%d%d.gif\">",strtok(optionfile, "."),cpt,j1,strtok(optionfile, "."),cpt,j1);    first=1;
        }    for(j1=1; j1<= (int) pow(2,cptcoveff);j1++){
     for(cpt=1; cpt<=nlstate;cpt++) {      /*for(i1=1; i1<=ncodemax[k1];i1++){
        fprintf(fichtm,"<br>- Observed and stationary prevalence (with confident        j1++;*/
 interval) in state (%d): v%s%d%d.gif <br>        
 <img src=\"v%s%d%d.gif\">",cpt,strtok(optionfile, "."),cpt,j1,strtok(optionfile, "."),cpt,j1);          for (i=1; i<=nlstate; i++)  
      }          for(m=iagemin; m <= iagemax+3; m++)
      for(cpt=1; cpt<=nlstate;cpt++) {            prop[i][m]=0.0;
         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);        for (i=1; i<=imx; i++) { /* Each individual */
      }          bool=1;
      fprintf(fichtm,"\n<br>- Total life expectancy by age and          if  (cptcovn>0) {
 health expectancies in states (1) and (2): e%s%d.gif<br>            for (z1=1; z1<=cptcoveff; z1++) 
 <img src=\"e%s%d.gif\">",strtok(optionfile, "."),j1,strtok(optionfile, "."),j1);              if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtab[j1][z1]]) 
 fprintf(fichtm,"\n</body>");                bool=0;
    }          } 
  }          if (bool==1) { 
 fclose(fichtm);            for(m=firstpass; m<=lastpass; m++){/* Other selection (we can limit to certain interviews*/
               y2=anint[m][i]+(mint[m][i]/12.); /* Fractional date in year */
   /*--------------- Prevalence limit --------------*/              if ((y2>=dateprev1) && (y2<=dateprev2)) { /* Here is the main selection (fractional years) */
                  if(agev[m][i]==0) agev[m][i]=iagemax+1;
   strcpy(filerespl,"pl");                if(agev[m][i]==1) agev[m][i]=iagemax+2;
   strcat(filerespl,fileres);                if((int)agev[m][i] <iagemin || (int)agev[m][i] >iagemax+3) printf("Error on individual =%d agev[m][i]=%f m=%d\n",i, agev[m][i],m); 
   if((ficrespl=fopen(filerespl,"w"))==NULL) {                if (s[m][i]>0 && s[m][i]<=nlstate) { 
     printf("Problem with Prev limit resultfile: %s\n", filerespl);goto end;                  /*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];
   printf("Computing prevalence limit: result on file '%s' \n", filerespl);                  prop[s[m][i]][iagemax+3] += weight[i]; 
   fprintf(ficrespl,"#Prevalence limit\n");                } 
   fprintf(ficrespl,"#Age ");              }
   for(i=1; i<=nlstate;i++) fprintf(ficrespl,"%d-%d ",i,i);            } /* end selection of waves */
   fprintf(ficrespl,"\n");          }
          }
   prlim=matrix(1,nlstate,1,nlstate);        for(i=iagemin; i <= iagemax+3; i++){  
   pmmij= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */          for(jk=1,posprop=0; jk <=nlstate ; jk++) { 
   oldms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */            posprop += prop[jk][i]; 
   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(jk=1; jk <=nlstate ; jk++){     
   k=0;            if( i <=  iagemax){ 
   agebase=agemin;              if(posprop>=1.e-5){ 
   agelim=agemax;                probs[i][jk][j1]= prop[jk][i]/posprop;
   ftolpl=1.e-10;              } else{
   i1=cptcoveff;                if(first==1){
   if (cptcovn < 1){i1=1;}                  first=0;
                   printf("Warning Observed prevalence probs[%d][%d][%d]=%lf because of lack of cases\nSee others on log file...\n",jk,i,j1,probs[i][jk][j1]);
   for(cptcov=1;cptcov<=i1;cptcov++){                }
     for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){              }
         k=k+1;            } 
         /*printf("cptcov=%d cptcod=%d codtab=%d nbcode=%d\n",cptcov, cptcod,Tcode[cptcode],codtab[cptcod][cptcov]);*/          }/* end jk */ 
         fprintf(ficrespl,"\n#******");        }/* end i */ 
         for(j=1;j<=cptcoveff;j++)      /*} *//* end i1 */
           fprintf(ficrespl," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);    } /* end j1 */
         fprintf(ficrespl,"******\n");    
            /*  free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath, iagemin, iagemax+3);*/
         for (age=agebase; age<=agelim; age++){    /*free_vector(pp,1,nlstate);*/
           prevalim(prlim, nlstate, p, age, oldm, savm,ftolpl,k);    free_matrix(prop,1,nlstate, iagemin,iagemax+3);
           fprintf(ficrespl,"%.0f",age );  }  /* End of prevalence */
           for(i=1; i<=nlstate;i++)  
           fprintf(ficrespl," %.5f", prlim[i][i]);  /************* Waves Concatenation ***************/
           fprintf(ficrespl,"\n");  
         }  void  concatwav(int wav[], int **dh, int **bh,  int **mw, int **s, double *agedc, double **agev, int  firstpass, int lastpass, int imx, int nlstate, int stepm)
       }  {
     }    /* Concatenates waves: wav[i] is the number of effective (useful waves) of individual i.
   fclose(ficrespl);       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
   /*------------- h Pij x at various ages ------------*/       dh[m][i] or dh[mw[mi][i]][i] is the delay between two effective waves m=mw[mi][i]
         and mw[mi+1][i]. dh depends on stepm.
   strcpy(filerespij,"pij");  strcat(filerespij,fileres);       */
   if((ficrespij=fopen(filerespij,"w"))==NULL) {  
     printf("Problem with Pij resultfile: %s\n", filerespij);goto end;    int i, mi, m;
   }    /* int j, k=0,jk, ju, jl,jmin=1e+5, jmax=-1;
   printf("Computing pij: result on file '%s' \n", filerespij);       double sum=0., jmean=0.;*/
      int first;
   stepsize=(int) (stepm+YEARM-1)/YEARM;    int j, k=0,jk, ju, jl;
   /*if (stepm<=24) stepsize=2;*/    double sum=0.;
     first=0;
   agelim=AGESUP;    jmin=100000;
   hstepm=stepsize*YEARM; /* Every year of age */    jmax=-1;
   hstepm=hstepm/stepm; /* Typically 2 years, = 2/6 months = 4 */    jmean=0.;
      for(i=1; i<=imx; i++){
   k=0;      mi=0;
   for(cptcov=1;cptcov<=i1;cptcov++){      m=firstpass;
     for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){      while(s[m][i] <= nlstate){
       k=k+1;        if(s[m][i]>=1 || s[m][i]==-2 || s[m][i]==-4 || s[m][i]==-5)
         fprintf(ficrespij,"\n#****** ");          mw[++mi][i]=m;
         for(j=1;j<=cptcoveff;j++)        if(m >=lastpass)
           fprintf(ficrespij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);          break;
         fprintf(ficrespij,"******\n");        else
                  m++;
         for (agedeb=fage; agedeb>=bage; agedeb--){ /* If stepm=6 months */      }/* end while */
           nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */      if (s[m][i] > nlstate){
           nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */        mi++;     /* Death is another wave */
           p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);        /* if(mi==0)  never been interviewed correctly before death */
           oldm=oldms;savm=savms;           /* Only death is a correct wave */
           hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);          mw[mi][i]=m;
           fprintf(ficrespij,"# Age");      }
           for(i=1; i<=nlstate;i++)  
             for(j=1; j<=nlstate+ndeath;j++)      wav[i]=mi;
               fprintf(ficrespij," %1d-%1d",i,j);      if(mi==0){
           fprintf(ficrespij,"\n");        nbwarn++;
           for (h=0; h<=nhstepm; h++){        if(first==0){
             fprintf(ficrespij,"%d %.0f %.0f",k,agedeb, agedeb+ h*hstepm/YEARM*stepm );          printf("Warning! No valid information for individual %ld line=%d (skipped) and may be others, see log file\n",num[i],i);
             for(i=1; i<=nlstate;i++)          first=1;
               for(j=1; j<=nlstate+ndeath;j++)        }
                 fprintf(ficrespij," %.5f", p3mat[i][j][h]);        if(first==1){
             fprintf(ficrespij,"\n");          fprintf(ficlog,"Warning! No valid information for individual %ld line=%d (skipped)\n",num[i],i);
           }        }
           free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);      } /* end mi==0 */
           fprintf(ficrespij,"\n");    } /* End individuals */
         }  
     }    for(i=1; i<=imx; i++){
   }      for(mi=1; mi<wav[i];mi++){
         if (stepm <=0)
   /* varprob(fileres, matcov, p, delti, nlstate, (int) bage, (int) fage,k);*/          dh[mi][i]=1;
         else{
   fclose(ficrespij);          if (s[mw[mi+1][i]][i] > nlstate) { /* A death */
             if (agedc[i] < 2*AGESUP) {
   if(stepm == 1) {              j= rint(agedc[i]*12-agev[mw[mi][i]][i]*12); 
   /*---------- Forecasting ------------------*/              if(j==0) j=1;  /* Survives at least one month after exam */
   calagedate=(anproj1+mproj1/12.+jproj1/365.-dateintmean)*YEARM;              else if(j<0){
                 nberr++;
   /*printf("calage= %f", calagedate);*/                printf("Error! Negative delay (%d to death) between waves %d and %d of individual %ld at line %d who is aged %.1f with statuses from %d to %d\n ",j,mw[mi][i],mw[mi+1][i],num[i], i,agev[mw[mi][i]][i],s[mw[mi][i]][i] ,s[mw[mi+1][i]][i]);
                  j=1; /* Temporary Dangerous patch */
   prevalence(agemin, agemax, s, agev, nlstate, imx,Tvar,nbcode, ncodemax,mint,anint,dateprev1,dateprev2, calagedate);                printf("   We assumed that the date of interview was correct (and not the date of death) and postponed the death %d month(s) (one stepm) after the interview. You MUST fix the contradiction between dates.\n",stepm);
                 fprintf(ficlog,"Error! Negative delay (%d to death) between waves %d and %d of individual %ld at line %d who is aged %.1f with statuses from %d to %d\n ",j,mw[mi][i],mw[mi+1][i],num[i], i,agev[mw[mi][i]][i],s[mw[mi][i]][i] ,s[mw[mi+1][i]][i]);
                 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);
   strcpy(fileresf,"f");              }
   strcat(fileresf,fileres);              k=k+1;
   if((ficresf=fopen(fileresf,"w"))==NULL) {              if (j >= jmax){
     printf("Problem with forecast resultfile: %s\n", fileresf);goto end;                jmax=j;
   }                ijmax=i;
   printf("Computing forecasting: result on file '%s' \n", fileresf);              }
               if (j <= jmin){
   free_matrix(mint,1,maxwav,1,n);                jmin=j;
   free_matrix(anint,1,maxwav,1,n);                ijmin=i;
   free_matrix(agev,1,maxwav,1,imx);              }
   /* Mobile average */              sum=sum+j;
               /*if (j<0) printf("j=%d num=%d \n",j,i);*/
   if (cptcoveff==0) ncodemax[cptcoveff]=1;              /*    printf("%d %d %d %d\n", s[mw[mi][i]][i] ,s[mw[mi+1][i]][i],j,i);*/
             }
   if (mobilav==1) {          }
     mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);          else{
     for (agedeb=bage+3; agedeb<=fage-2; agedeb++)            j= rint( (agev[mw[mi+1][i]][i]*12 - agev[mw[mi][i]][i]*12));
       for (i=1; i<=nlstate;i++)  /*        if (j<0) printf("%d %lf %lf %d %d %d\n", i,agev[mw[mi+1][i]][i], agev[mw[mi][i]][i],j,s[mw[mi][i]][i] ,s[mw[mi+1][i]][i]); */
         for (cptcod=1;cptcod<=ncodemax[cptcov];cptcod++)  
           mobaverage[(int)agedeb][i][cptcod]=0.;            k=k+1;
                if (j >= jmax) {
     for (agedeb=bage+4; agedeb<=fage; agedeb++){              jmax=j;
       for (i=1; i<=nlstate;i++){              ijmax=i;
         for (cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){            }
           for (cpt=0;cpt<=4;cpt++){            else if (j <= jmin){
             mobaverage[(int)agedeb-2][i][cptcod]=mobaverage[(int)agedeb-2][i][cptcod]+probs[(int)agedeb-cpt][i][cptcod];              jmin=j;
           }              ijmin=i;
           mobaverage[(int)agedeb-2][i][cptcod]=mobaverage[(int)agedeb-2][i][cptcod]/5;            }
         }            /*        if (j<10) printf("j=%d jmin=%d num=%d ",j,jmin,i); */
       }            /*printf("%d %lf %d %d %d\n", i,agev[mw[mi][i]][i],j,s[mw[mi][i]][i] ,s[mw[mi+1][i]][i]);*/
     }              if(j<0){
   }              nberr++;
               printf("Error! Negative delay (%d) between waves %d and %d of individual %ld at line %d who is aged %.1f with statuses from %d to %d\n ",j,mw[mi][i],mw[mi+1][i],num[i], i,agev[mw[mi][i]][i],s[mw[mi][i]][i] ,s[mw[mi+1][i]][i]);
   stepsize=(int) (stepm+YEARM-1)/YEARM;              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]);
   if (stepm<=12) stepsize=1;            }
             sum=sum+j;
   agelim=AGESUP;          }
   /*hstepm=stepsize*YEARM; *//* Every year of age */          jk= j/stepm;
   hstepm=1;          jl= j -jk*stepm;
   hstepm=hstepm/stepm; /* Typically 2 years, = 2 years/6 months = 4 */          ju= j -(jk+1)*stepm;
   yp1=modf(dateintmean,&yp);          if(mle <=1){ /* only if we use a the linear-interpoloation pseudo-likelihood */
   anprojmean=yp;            if(jl==0){
   yp2=modf((yp1*12),&yp);              dh[mi][i]=jk;
   mprojmean=yp;              bh[mi][i]=0;
   yp1=modf((yp2*30.5),&yp);            }else{ /* We want a negative bias in order to only have interpolation ie
   jprojmean=yp;                    * to avoid the price of an extra matrix product in likelihood */
   if(jprojmean==0) jprojmean=1;              dh[mi][i]=jk+1;
   if(mprojmean==0) jprojmean=1;              bh[mi][i]=ju;
             }
   fprintf(ficresf,"# Estimated date of observed prevalence: %.lf/%.lf/%.lf ",jprojmean,mprojmean,anprojmean);          }else{
             if(jl <= -ju){
   if (popforecast==1) {              dh[mi][i]=jk;
     if((ficpop=fopen(popfile,"r"))==NULL)    {              bh[mi][i]=jl;       /* bias is positive if real duration
       printf("Problem with population file : %s\n",popfile);goto end;                                   * is higher than the multiple of stepm and negative otherwise.
     }                                   */
     popage=ivector(0,AGESUP);            }
     popeffectif=vector(0,AGESUP);            else{
     popcount=vector(0,AGESUP);              dh[mi][i]=jk+1;
               bh[mi][i]=ju;
     i=1;              }
     while ((c=fscanf(ficpop,"%d %lf\n",&popage[i],&popcount[i])) != EOF)            if(dh[mi][i]==0){
       {              dh[mi][i]=1; /* At least one step */
         i=i+1;              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);*/
     imx=i;            }
              } /* end if mle */
     for (i=1; i<imx;i++) popeffectif[popage[i]]=popcount[i];        }
   }      } /* end wave */
     }
   for(cptcov=1;cptcov<=i1;cptcov++){    jmean=sum/k;
     for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){    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);
       k=k+1;    fprintf(ficlog,"Delay (in months) between two waves Min=%d (for indiviudal %d) Max=%d (%d) Mean=%f\n\n ",jmin, ijmin, jmax, ijmax, jmean);
       fprintf(ficresf,"\n#******");   }
       for(j=1;j<=cptcoveff;j++) {  
         fprintf(ficresf," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);  /*********** Tricode ****************************/
       }  void tricode(int *Tvar, int **nbcode, int imx, int *Ndum)
       fprintf(ficresf,"******\n");  {
       fprintf(ficresf,"# StartingAge FinalAge");    /**< Uses cptcovn+2*cptcovprod as the number of covariates */
       for(j=1; j<=nlstate+ndeath;j++) fprintf(ficresf," P.%d",j);    /*      Tvar[i]=atoi(stre);  find 'n' in Vn and stores in Tvar. If model=V2+V1 Tvar[1]=2 and Tvar[2]=1 
       if (popforecast==1)  fprintf(ficresf," [Population]");     * Boring subroutine which should only output nbcode[Tvar[j]][k]
         * Tvar[5] in V2+V1+V3*age+V2*V4 is 2 (V2)
       for (cpt=0; cpt<4;cpt++) {     * nbcode[Tvar[j]][1]= 
         fprintf(ficresf,"\n");    */
         fprintf(ficresf,"\n# Forecasting at date %.lf/%.lf/%.lf ",jproj1,mproj1,anproj1+cpt);    
     int ij=1, k=0, j=0, i=0, maxncov=NCOVMAX;
         for (agedeb=(fage-((int)calagedate %12/12.)); agedeb>=(bage-((int)calagedate %12)/12.); agedeb--){ /* If stepm=6 months */    int modmaxcovj=0; /* Modality max of covariates j */
         nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm);    int cptcode=0; /* Modality max of covariates j */
         nhstepm = nhstepm/hstepm;    int modmincovj=0; /* Modality min of covariates j */
         /*printf("agedeb=%.lf stepm=%d hstepm=%d nhstepm=%d \n",agedeb,stepm,hstepm,nhstepm);*/  
   
         p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);    cptcoveff=0; 
         oldm=oldms;savm=savms;   
         hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);      for (k=-1; k < maxncov; k++) Ndum[k]=0;
            for (k=1; k <= maxncov; k++) ncodemax[k]=0; /* Horrible constant again replaced by NCOVMAX */
         for (h=0; h<=nhstepm; h++){  
           if (h==(int) (calagedate+YEARM*cpt)) {    /* Loop on covariates without age and products */
             fprintf(ficresf,"\n %.f ",agedeb+h*hstepm/YEARM*stepm);    for (j=1; j<=(cptcovs); j++) { /* model V1 + V2*age+ V3 + V3*V4 : V1 + V3 = 2 only */
           }      for (i=1; i<=imx; i++) { /* Lopp on individuals: reads the data file to get the maximum value of the 
           for(j=1; j<=nlstate+ndeath;j++) {                                 modality of this covariate Vj*/ 
             kk1=0.;kk2=0;        ij=(int)(covar[Tvar[j]][i]); /* ij=0 or 1 or -1. Value of the covariate Tvar[j] for individual i
             for(i=1; i<=nlstate;i++) {                                              * If product of Vn*Vm, still boolean *:
               if (mobilav==1)                                      * If it was coded 1, 2, 3, 4 should be splitted into 3 boolean variables
                 kk1=kk1+p3mat[i][j][h]*mobaverage[(int)agedeb+1][i][cptcod];                                      * 1 => 0 0 0, 2 => 0 0 1, 3 => 0 1 1, 4=1 0 0   */
               else {        /* Finds for covariate j, n=Tvar[j] of Vn . ij is the
                 kk1=kk1+p3mat[i][j][h]*probs[(int)(agedeb+1)][i][cptcod];                                        modality of the nth covariate of individual i. */
                 /* fprintf(ficresf," p3=%.3f p=%.3f ", p3mat[i][j][h], probs[(int)(agedeb)+1][i][cptcod]);*/        if (ij > modmaxcovj)
               }          modmaxcovj=ij; 
         else if (ij < modmincovj) 
               if (popforecast==1) kk2=kk1*popeffectif[(int)agedeb];          modmincovj=ij; 
             }        if ((ij < -1) && (ij > NCOVMAX)){
                    printf( "Error: minimal is less than -1 or maximal is bigger than %d. Exiting. \n", NCOVMAX );
             if (h==(int)(calagedate+12*cpt)){          exit(1);
               fprintf(ficresf," %.3f", kk1);        }else
                      Ndum[ij]++; /*counts and stores the occurence of this modality 0, 1, -1*/
               if (popforecast==1) fprintf(ficresf," [%.f]", kk2);        /*  If coded 1, 2, 3 , counts the number of 1 Ndum[1], number of 2, Ndum[2], etc */
             }        /*printf("i=%d ij=%d Ndum[ij]=%d imx=%d",i,ij,Ndum[ij],imx);*/
           }        /* getting the maximum value of the modality of the covariate
         }           (should be 0 or 1 now) Tvar[j]. If V=sex and male is coded 0 and
         /*      free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);*/           female is 1, then modmaxcovj=1.*/
       }      }
       }      printf(" Minimal and maximal values of %d th covariate V%d: min=%d max=%d \n", j, Tvar[j], modmincovj, modmaxcovj);
     }      cptcode=modmaxcovj;
   }      /* Ndum[0] = frequency of 0 for model-covariate j, Ndum[1] frequency of 1 etc. */
   /*  if (mobilav==1) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);     /*for (i=0; i<=cptcode; i++) {*/
   if (popforecast==1) {      for (i=modmincovj;  i<=modmaxcovj; i++) { /* i=-1 ? 0 and 1*//* For each value of the modality of model-cov j */
     free_ivector(popage,0,AGESUP);        printf("Frequencies of covariates %d V%d %d\n", j, Tvar[j], Ndum[i]);
     free_vector(popeffectif,0,AGESUP);        if( Ndum[i] != 0 ){ /* Counts if nobody answered, empty modality */
     free_vector(popcount,0,AGESUP);          ncodemax[j]++;  /* ncodemax[j]= Number of non-null modalities of the j th covariate. */
   }        }
   free_imatrix(s,1,maxwav+1,1,n);        /* In fact  ncodemax[j]=2 (dichotom. variables only) but it could be more for
   free_vector(weight,1,n);*/           historical reasons: 3 if coded 1, 2, 3 and 4 and Ndum[2]=0 */
   fclose(ficresf);      } /* Ndum[-1] number of undefined modalities */
   }/* End forecasting */  
   else{      /* j is a covariate, n=Tvar[j] of Vn; Fills nbcode */
     erreur=108;      /* For covariate j, modalities could be 1, 2, 3, 4. If Ndum[2]=0 ncodemax[j] is not 4 but 3 */
     printf("Error %d!! You can only forecast the prevalences if the optimization\n  has been performed with stepm = 1 (month) instead of %d\n", erreur, stepm);      /* If Ndum[3}= 635; Ndum[4]=0; Ndum[5]=0; Ndum[6]=27; Ndum[7]=125;
   }         modmincovj=3; modmaxcovj = 7;
          There are only 3 modalities non empty (or 2 if 27 is too few) : ncodemax[j]=3;
   /*---------- Health expectancies and variances ------------*/         which will be coded 0, 1, 2 which in binary on 3-1 digits are 0=00 1=01, 2=10; defining two dummy 
          variables V1_1 and V1_2.
   strcpy(filerest,"t");         nbcode[Tvar[j]][ij]=k;
   strcat(filerest,fileres);         nbcode[Tvar[j]][1]=0;
   if((ficrest=fopen(filerest,"w"))==NULL) {         nbcode[Tvar[j]][2]=1;
     printf("Problem with total LE resultfile: %s\n", filerest);goto end;         nbcode[Tvar[j]][3]=2;
   }      */
   printf("Computing Total LEs with variances: file '%s' \n", filerest);      ij=1; /* ij is similar to i but can jumps over null modalities */
       for (i=modmincovj; i<=modmaxcovj; i++) { /* i= 1 to 2 for dichotomous, or from 1 to 3 */
         for (k=0; k<= cptcode; k++) { /* k=-1 ? k=0 to 1 *//* Could be 1 to 4 */
   strcpy(filerese,"e");          /*recode from 0 */
   strcat(filerese,fileres);          if (Ndum[k] != 0) { /* If at least one individual responded to this modality k */
   if((ficreseij=fopen(filerese,"w"))==NULL) {            nbcode[Tvar[j]][ij]=k;  /* stores the modality in an array nbcode. 
     printf("Problem with Health Exp. resultfile: %s\n", filerese); exit(0);                                       k is a modality. If we have model=V1+V1*sex 
   }                                       then: nbcode[1][1]=0 ; nbcode[1][2]=1; nbcode[2][1]=0 ; nbcode[2][2]=1; */
   printf("Computing Health Expectancies: result on file '%s' \n", filerese);            ij++;
           }
  strcpy(fileresv,"v");          if (ij > ncodemax[j]) break; 
   strcat(fileresv,fileres);        }  /* end of loop on */
   if((ficresvij=fopen(fileresv,"w"))==NULL) {      } /* end of loop on modality */ 
     printf("Problem with variance resultfile: %s\n", fileresv);exit(0);    } /* end of loop on model-covariate j. nbcode[Tvarj][1]=0 and nbcode[Tvarj][2]=1 sets the value of covariate j*/  
   }    
   printf("Computing Variance-covariance of DFLEs: file '%s' \n", fileresv);   for (k=-1; k< maxncov; k++) Ndum[k]=0; 
     
   k=0;    for (i=1; i<=ncovmodel-2; i++) { /* -2, cste and age */ 
   for(cptcov=1;cptcov<=i1;cptcov++){     /* Listing of all covariables in statement model to see if some covariates appear twice. For example, V1 appears twice in V1+V1*V2.*/ 
     for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){     ij=Tvar[i]; /* Tvar might be -1 if status was unknown */ 
       k=k+1;     Ndum[ij]++; 
       fprintf(ficrest,"\n#****** ");   } 
       for(j=1;j<=cptcoveff;j++)  
         fprintf(ficrest,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);   ij=1;
       fprintf(ficrest,"******\n");   for (i=0; i<=  maxncov-1; i++) { /* modmaxcovj is unknown here. Only Ndum[2(V2),3(age*V3), 5(V3*V2) 6(V1*V4) */
      /*printf("Ndum[%d]=%d\n",i, Ndum[i]);*/
       fprintf(ficreseij,"\n#****** ");     if((Ndum[i]!=0) && (i<=ncovcol)){
       for(j=1;j<=cptcoveff;j++)       /*printf("diff Ndum[%d]=%d\n",i, Ndum[i]);*/
         fprintf(ficreseij,"V%d=%d ",j,nbcode[j][codtab[k][j]]);       Tvaraff[ij]=i; /*For printing (unclear) */
       fprintf(ficreseij,"******\n");       ij++;
      }else
       fprintf(ficresvij,"\n#****** ");         Tvaraff[ij]=0;
       for(j=1;j<=cptcoveff;j++)   }
         fprintf(ficresvij,"V%d=%d ",j,nbcode[j][codtab[k][j]]);   ij--;
       fprintf(ficresvij,"******\n");   cptcoveff=ij; /*Number of total covariates*/
   
       eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);  }
       oldm=oldms;savm=savms;  
       evsij(fileres, eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k);    
       vareij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);  /*********** Health Expectancies ****************/
       oldm=oldms;savm=savms;  
       varevsij(fileres, vareij, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k);  void evsij(double ***eij, double x[], int nlstate, int stepm, int bage, int fage, double **oldm, double **savm, int cij, int estepm,char strstart[] )
        
       fprintf(ficrest,"#Total LEs with variances: e.. (std) ");  {
       for (i=1;i<=nlstate;i++) fprintf(ficrest,"e.%d (std) ",i);    /* Health expectancies, no variances */
       fprintf(ficrest,"\n");    int i, j, nhstepm, hstepm, h, nstepm;
            int nhstepma, nstepma; /* Decreasing with age */
       hf=1;    double age, agelim, hf;
       if (stepm >= YEARM) hf=stepm/YEARM;    double ***p3mat;
       epj=vector(1,nlstate+1);    double eip;
       for(age=bage; age <=fage ;age++){  
         prevalim(prlim, nlstate, p, age, oldm, savm,ftolpl,k);    pstamp(ficreseij);
         if (popbased==1) {    fprintf(ficreseij,"# (a) Life expectancies by health status at initial age and (b) health expectancies by health status at initial age\n");
           for(i=1; i<=nlstate;i++)    fprintf(ficreseij,"# Age");
             prlim[i][i]=probs[(int)age][i][k];    for(i=1; i<=nlstate;i++){
         }      for(j=1; j<=nlstate;j++){
                fprintf(ficreseij," e%1d%1d ",i,j);
         fprintf(ficrest," %.0f",age);      }
         for(j=1, epj[nlstate+1]=0.;j <=nlstate;j++){      fprintf(ficreseij," e%1d. ",i);
           for(i=1, epj[j]=0.;i <=nlstate;i++) {    }
             epj[j] += prlim[i][i]*hf*eij[i][j][(int)age];    fprintf(ficreseij,"\n");
           }  
           epj[nlstate+1] +=epj[j];    
         }    if(estepm < stepm){
         for(i=1, vepp=0.;i <=nlstate;i++)      printf ("Problem %d lower than %d\n",estepm, stepm);
           for(j=1;j <=nlstate;j++)    }
             vepp += vareij[i][j][(int)age];    else  hstepm=estepm;   
         fprintf(ficrest," %.2f (%.2f)", epj[nlstate+1],hf*sqrt(vepp));    /* We compute the life expectancy from trapezoids spaced every estepm months
         for(j=1;j <=nlstate;j++){     * This is mainly to measure the difference between two models: for example
           fprintf(ficrest," %.2f (%.2f)", epj[j],hf*sqrt(vareij[j][j][(int)age]));     * if stepm=24 months pijx are given only every 2 years and by summing them
         }     * we are calculating an estimate of the Life Expectancy assuming a linear 
         fprintf(ficrest,"\n");     * progression in between and thus overestimating or underestimating according
       }     * to the curvature of the survival function. If, for the same date, we 
     }     * estimate the model with stepm=1 month, we can keep estepm to 24 months
   }     * to compare the new estimate of Life expectancy with the same linear 
             * hypothesis. A more precise result, taking into account a more precise
             * curvature will be obtained if estepm is as small as stepm. */
   
     /* For example we decided to compute the life expectancy with the smallest unit */
  fclose(ficreseij);    /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
  fclose(ficresvij);       nhstepm is the number of hstepm from age to agelim 
   fclose(ficrest);       nstepm is the number of stepm from age to agelin. 
   fclose(ficpar);       Look at hpijx to understand the reason of that which relies in memory size
   free_vector(epj,1,nlstate+1);       and note for a fixed period like estepm months */
   /*  scanf("%d ",i); */    /* 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
   /*------- Variance limit prevalence------*/         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 
 strcpy(fileresvpl,"vpl");       results. So we changed our mind and took the option of the best precision.
   strcat(fileresvpl,fileres);    */
   if((ficresvpl=fopen(fileresvpl,"w"))==NULL) {    hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
     printf("Problem with variance prev lim resultfile: %s\n", fileresvpl);  
     exit(0);    agelim=AGESUP;
   }    /* If stepm=6 months */
   printf("Computing Variance-covariance of Prevalence limit: file '%s' \n", fileresvpl);      /* Computed by stepm unit matrices, product of hstepm matrices, stored
          in an array of nhstepm length: nhstepm=10, hstepm=4, stepm=6 months */
  k=0;      
  for(cptcov=1;cptcov<=i1;cptcov++){  /* nhstepm age range expressed in number of stepm */
    for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){    nstepm=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
      k=k+1;    /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
      fprintf(ficresvpl,"\n#****** ");    /* if (stepm >= YEARM) hstepm=1;*/
      for(j=1;j<=cptcoveff;j++)    nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
        fprintf(ficresvpl,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);    p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
      fprintf(ficresvpl,"******\n");  
          for (age=bage; age<=fage; age ++){ 
      varpl=matrix(1,nlstate,(int) bage, (int) fage);      nstepma=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
      oldm=oldms;savm=savms;      /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
      varprevlim(fileres, varpl, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k);      /* if (stepm >= YEARM) hstepm=1;*/
    }      nhstepma = nstepma/hstepm;/* Expressed in hstepm, typically nhstepma=40/4=10 */
  }  
       /* If stepm=6 months */
   fclose(ficresvpl);      /* Computed by stepm unit matrices, product of hstepma matrices, stored
          in an array of nhstepma length: nhstepma=10, hstepm=4, stepm=6 months */
   /*---------- End : free ----------------*/      
   free_matrix(varpl,1,nlstate,(int) bage, (int)fage);      hpxij(p3mat,nhstepma,age,hstepm,x,nlstate,stepm,oldm, savm, cij);  
        
   free_ma3x(vareij,1,nlstate,1,nlstate,(int) bage, (int)fage);      hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
   free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);      
        printf("%d|",(int)age);fflush(stdout);
        fprintf(ficlog,"%d|",(int)age);fflush(ficlog);
   free_matrix(pmmij,1,nlstate+ndeath,1,nlstate+ndeath);      
   free_matrix(oldms, 1,nlstate+ndeath,1,nlstate+ndeath);      /* Computing expectancies */
   free_matrix(newms, 1,nlstate+ndeath,1,nlstate+ndeath);      for(i=1; i<=nlstate;i++)
   free_matrix(savms, 1,nlstate+ndeath,1,nlstate+ndeath);        for(j=1; j<=nlstate;j++)
            for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){
   free_matrix(matcov,1,npar,1,npar);            eij[i][j][(int)age] += (p3mat[i][j][h]+p3mat[i][j][h+1])/2.0*hf;
   free_vector(delti,1,npar);            
              /* 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]);*/
   free_ma3x(param,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel);  
           }
   if(erreur >0)  
     printf("End of Imach with error %d\n",erreur);      fprintf(ficreseij,"%3.0f",age );
   else   printf("End of Imach\n");      for(i=1; i<=nlstate;i++){
   /*  gettimeofday(&end_time, (struct timezone*)0);*/  /* after time */        eip=0;
          for(j=1; j<=nlstate;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);*/          eip +=eij[i][j][(int)age];
   /*printf("Total time was %d uSec.\n", total_usecs);*/          fprintf(ficreseij,"%9.4f", eij[i][j][(int)age] );
   /*------ End -----------*/        }
         fprintf(ficreseij,"%9.4f", eip );
       }
  end:      fprintf(ficreseij,"\n");
 #ifdef windows      
   /* chdir(pathcd);*/    }
 #endif    free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
  /*system("wgnuplot graph.plt");*/    printf("\n");
  /*system("../gp37mgw/wgnuplot graph.plt");*/    fprintf(ficlog,"\n");
  /*system("cd ../gp37mgw");*/    
  /* system("..\\gp37mgw\\wgnuplot graph.plt");*/  }
  strcpy(plotcmd,GNUPLOTPROGRAM);  
  strcat(plotcmd," ");  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[] )
  strcat(plotcmd,optionfilegnuplot);  
  system(plotcmd);  {
     /* Covariances of health expectancies eij and of total life expectancies according
 #ifdef windows     to initial status i, ei. .
   while (z[0] != 'q') {    */
     chdir(path);    int i, j, nhstepm, hstepm, h, nstepm, k, cptj, cptj2, i2, j2, ij, ji;
     printf("\nType e to edit output files, c to start again, and q for exiting: ");    int nhstepma, nstepma; /* Decreasing with age */
     scanf("%s",z);    double age, agelim, hf;
     if (z[0] == 'c') system("./imach");    double ***p3matp, ***p3matm, ***varhe;
     else if (z[0] == 'e') {    double **dnewm,**doldm;
       chdir(path);    double *xp, *xm;
       system(optionfilehtm);    double **gp, **gm;
     }    double ***gradg, ***trgradg;
     else if (z[0] == 'q') exit(0);    int theta;
   }  
 #endif    double eip, vip;
 }  
     varhe=ma3x(1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int) fage);
     xp=vector(1,npar);
     xm=vector(1,npar);
     dnewm=matrix(1,nlstate*nlstate,1,npar);
     doldm=matrix(1,nlstate*nlstate,1,nlstate*nlstate);
     
     pstamp(ficresstdeij);
     fprintf(ficresstdeij,"# Health expectancies with standard errors\n");
     fprintf(ficresstdeij,"# Age");
     for(i=1; i<=nlstate;i++){
       for(j=1; j<=nlstate;j++)
         fprintf(ficresstdeij," e%1d%1d (SE)",i,j);
       fprintf(ficresstdeij," e%1d. ",i);
     }
     fprintf(ficresstdeij,"\n");
   
     pstamp(ficrescveij);
     fprintf(ficrescveij,"# Subdiagonal matrix of covariances of health expectancies by age: cov(eij,ekl)\n");
     fprintf(ficrescveij,"# Age");
     for(i=1; i<=nlstate;i++)
       for(j=1; j<=nlstate;j++){
         cptj= (j-1)*nlstate+i;
         for(i2=1; i2<=nlstate;i2++)
           for(j2=1; j2<=nlstate;j2++){
             cptj2= (j2-1)*nlstate+i2;
             if(cptj2 <= cptj)
               fprintf(ficrescveij,"  %1d%1d,%1d%1d",i,j,i2,j2);
           }
       }
     fprintf(ficrescveij,"\n");
     
     if(estepm < stepm){
       printf ("Problem %d lower than %d\n",estepm, stepm);
     }
     else  hstepm=estepm;   
     /* We compute the life expectancy from trapezoids spaced every estepm months
      * This is mainly to measure the difference between two models: for example
      * if stepm=24 months pijx are given only every 2 years and by summing them
      * we are calculating an estimate of the Life Expectancy assuming a linear 
      * progression in between and thus overestimating or underestimating according
      * to the curvature of the survival function. If, for the same date, we 
      * estimate the model with stepm=1 month, we can keep estepm to 24 months
      * to compare the new estimate of Life expectancy with the same linear 
      * hypothesis. A more precise result, taking into account a more precise
      * curvature will be obtained if estepm is as small as stepm. */
   
     /* For example we decided to compute the life expectancy with the smallest unit */
     /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
        nhstepm is the number of hstepm from age to agelim 
        nstepm is the number of stepm from age to agelin. 
        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
        survival function given by stepm (the optimization length). Unfortunately it
        means that if the survival funtion is printed only each two years of age and if
        you sum them up and add 1 year (area under the trapezoids) you won't get the same 
        results. So we changed our mind and took the option of the best precision.
     */
     hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
   
     /* If stepm=6 months */
     /* nhstepm age range expressed in number of stepm */
     agelim=AGESUP;
     nstepm=(int) rint((agelim-bage)*YEARM/stepm); 
     /* 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 */
     
     p3matp=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
     p3matm=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
     gradg=ma3x(0,nhstepm,1,npar,1,nlstate*nlstate);
     trgradg =ma3x(0,nhstepm,1,nlstate*nlstate,1,npar);
     gp=matrix(0,nhstepm,1,nlstate*nlstate);
     gm=matrix(0,nhstepm,1,nlstate*nlstate);
   
     for (age=bage; age<=fage; age ++){ 
       nstepma=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
       /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
       /* if (stepm >= YEARM) hstepm=1;*/
       nhstepma = nstepma/hstepm;/* Expressed in hstepm, typically nhstepma=40/4=10 */
   
       /* If stepm=6 months */
       /* Computed by stepm unit matrices, product of hstepma matrices, stored
          in an array of nhstepma length: nhstepma=10, hstepm=4, stepm=6 months */
       
       hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
   
       /* Computing  Variances of health expectancies */
       /* Gradient is computed with plus gp and minus gm. Code is duplicated in order to
          decrease memory allocation */
       for(theta=1; theta <=npar; theta++){
         for(i=1; i<=npar; i++){ 
           xp[i] = x[i] + (i==theta ?delti[theta]:0);
           xm[i] = x[i] - (i==theta ?delti[theta]:0);
         }
         hpxij(p3matp,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, cij);  
         hpxij(p3matm,nhstepm,age,hstepm,xm,nlstate,stepm,oldm,savm, cij);  
     
         for(j=1; j<= nlstate; j++){
           for(i=1; i<=nlstate; i++){
             for(h=0; h<=nhstepm-1; h++){
               gp[h][(j-1)*nlstate + i] = (p3matp[i][j][h]+p3matp[i][j][h+1])/2.;
               gm[h][(j-1)*nlstate + i] = (p3matm[i][j][h]+p3matm[i][j][h+1])/2.;
             }
           }
         }
        
         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];
           }
       }/* End theta */
       
       
       for(h=0; h<=nhstepm-1; h++)
         for(j=1; j<=nlstate*nlstate;j++)
           for(theta=1; theta <=npar; theta++)
             trgradg[h][j][theta]=gradg[h][theta][j];
       
   
        for(ij=1;ij<=nlstate*nlstate;ij++)
         for(ji=1;ji<=nlstate*nlstate;ji++)
           varhe[ij][ji][(int)age] =0.;
   
        printf("%d|",(int)age);fflush(stdout);
        fprintf(ficlog,"%d|",(int)age);fflush(ficlog);
        for(h=0;h<=nhstepm-1;h++){
         for(k=0;k<=nhstepm-1;k++){
           matprod2(dnewm,trgradg[h],1,nlstate*nlstate,1,npar,1,npar,matcov);
           matprod2(doldm,dnewm,1,nlstate*nlstate,1,npar,1,nlstate*nlstate,gradg[k]);
           for(ij=1;ij<=nlstate*nlstate;ij++)
             for(ji=1;ji<=nlstate*nlstate;ji++)
               varhe[ij][ji][(int)age] += doldm[ij][ji]*hf*hf;
         }
       }
   
       /* Computing expectancies */
       hpxij(p3matm,nhstepm,age,hstepm,x,nlstate,stepm,oldm, savm, cij);  
       for(i=1; i<=nlstate;i++)
         for(j=1; j<=nlstate;j++)
           for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){
             eij[i][j][(int)age] += (p3matm[i][j][h]+p3matm[i][j][h+1])/2.0*hf;
             
             /* if((int)age==70)printf("i=%2d,j=%2d,h=%2d,age=%3d,%9.4f,%9.4f,%9.4f\n",i,j,h,(int)age,p3mat[i][j][h],hf,eij[i][j][(int)age]);*/
   
           }
   
       fprintf(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];
           for(k=1; k<=nlstate;k++) /* Sum on j and k of cov(eij,eik) */
             vip += varhe[(j-1)*nlstate+i][(k-1)*nlstate+i][(int)age];
           fprintf(ficresstdeij," %9.4f (%.4f)", eij[i][j][(int)age], sqrt(varhe[(j-1)*nlstate+i][(j-1)*nlstate+i][(int)age]) );
         }
         fprintf(ficresstdeij," %9.4f (%.4f)", eip, sqrt(vip));
       }
       fprintf(ficresstdeij,"\n");
   
       fprintf(ficrescveij,"%3.0f",age );
       for(i=1; i<=nlstate;i++)
         for(j=1; j<=nlstate;j++){
           cptj= (j-1)*nlstate+i;
           for(i2=1; i2<=nlstate;i2++)
             for(j2=1; j2<=nlstate;j2++){
               cptj2= (j2-1)*nlstate+i2;
               if(cptj2 <= cptj)
                 fprintf(ficrescveij," %.4f", varhe[cptj][cptj2][(int)age]);
             }
         }
       fprintf(ficrescveij,"\n");
      
     }
     free_matrix(gm,0,nhstepm,1,nlstate*nlstate);
     free_matrix(gp,0,nhstepm,1,nlstate*nlstate);
     free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate*nlstate);
     free_ma3x(trgradg,0,nhstepm,1,nlstate*nlstate,1,npar);
     free_ma3x(p3matm,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
     free_ma3x(p3matp,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
     printf("\n");
     fprintf(ficlog,"\n");
   
     free_vector(xm,1,npar);
     free_vector(xp,1,npar);
     free_matrix(dnewm,1,nlstate*nlstate,1,npar);
     free_matrix(doldm,1,nlstate*nlstate,1,nlstate*nlstate);
     free_ma3x(varhe,1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int)fage);
   }
   
   /************ Variance ******************/
   void varevsij(char optionfilefiname[], double ***vareij, double **matcov, double x[], double delti[], int nlstate, int stepm, double bage, double fage, double **oldm, double **savm, double **prlim, double ftolpl, int ij, int estepm, int cptcov, int cptcod, int popbased, int mobilav, char strstart[])
   {
     /* Variance of health expectancies */
     /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);*/
     /* double **newm;*/
     /* int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav)*/
     
     int movingaverage();
     double **dnewm,**doldm;
     double **dnewmp,**doldmp;
     int i, j, nhstepm, hstepm, h, nstepm ;
     int k;
     double *xp;
     double **gp, **gm;  /* for var eij */
     double ***gradg, ***trgradg; /*for var eij */
     double **gradgp, **trgradgp; /* for var p point j */
     double *gpp, *gmp; /* for var p point j */
     double **varppt; /* for var p point j nlstate to nlstate+ndeath */
     double ***p3mat;
     double age,agelim, hf;
     double ***mobaverage;
     int theta;
     char digit[4];
     char digitp[25];
   
     char fileresprobmorprev[FILENAMELENGTH];
   
     if(popbased==1){
       if(mobilav!=0)
         strcpy(digitp,"-populbased-mobilav-");
       else strcpy(digitp,"-populbased-nomobil-");
     }
     else 
       strcpy(digitp,"-stablbased-");
   
     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);
       }
     }
   
     strcpy(fileresprobmorprev,"prmorprev"); 
     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 */
     strcat(fileresprobmorprev,fileres);
     if((ficresprobmorprev=fopen(fileresprobmorprev,"w"))==NULL) {
       printf("Problem with resultfile: %s\n", fileresprobmorprev);
       fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobmorprev);
     }
     printf("Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
    
     fprintf(ficlog,"Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
     pstamp(ficresprobmorprev);
     fprintf(ficresprobmorprev,"# probabilities of dying before estepm=%d months for people of exact age and weighted probabilities w1*p1j+w2*p2j+... stand dev in()\n",estepm);
     fprintf(ficresprobmorprev,"# Age cov=%-d",ij);
     for(j=nlstate+1; j<=(nlstate+ndeath);j++){
       fprintf(ficresprobmorprev," p.%-d SE",j);
       for(i=1; i<=nlstate;i++)
         fprintf(ficresprobmorprev," w%1d p%-d%-d",i,i,j);
     }  
     fprintf(ficresprobmorprev,"\n");
     fprintf(ficgp,"\n# Routine varevsij");
     /* fprintf(fichtm, "#Local time at start: %s", strstart);*/
     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);
   /*   } */
     varppt = matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
     pstamp(ficresvij);
     fprintf(ficresvij,"# Variance and covariance of health expectancies e.j \n#  (weighted average of eij where weights are ");
     if(popbased==1)
       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);
     else
       fprintf(ficresvij,"the age specific period (stable) prevalences in each health state \n");
     fprintf(ficresvij,"# Age");
     for(i=1; i<=nlstate;i++)
       for(j=1; j<=nlstate;j++)
         fprintf(ficresvij," Cov(e.%1d, e.%1d)",i,j);
     fprintf(ficresvij,"\n");
   
     xp=vector(1,npar);
     dnewm=matrix(1,nlstate,1,npar);
     doldm=matrix(1,nlstate,1,nlstate);
     dnewmp= matrix(nlstate+1,nlstate+ndeath,1,npar);
     doldmp= matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
   
     gradgp=matrix(1,npar,nlstate+1,nlstate+ndeath);
     gpp=vector(nlstate+1,nlstate+ndeath);
     gmp=vector(nlstate+1,nlstate+ndeath);
     trgradgp =matrix(nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
     
     if(estepm < stepm){
       printf ("Problem %d lower than %d\n",estepm, stepm);
     }
     else  hstepm=estepm;   
     /* For example we decided to compute the life expectancy with the smallest unit */
     /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
        nhstepm is the number of hstepm from age to agelim 
        nstepm is the number of stepm from age to agelin. 
        Look at function hpijx to understand why (it is linked to memory size questions) */
     /* We decided (b) to get a life expectancy respecting the most precise curvature of the
        survival function given by stepm (the optimization length). Unfortunately it
        means that if the survival funtion is printed every two years of age and if
        you sum them up and add 1 year (area under the trapezoids) you won't get the same 
        results. So we changed our mind and took the option of the best precision.
     */
     hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
     agelim = AGESUP;
     for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
       nstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
       nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
       p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
       gradg=ma3x(0,nhstepm,1,npar,1,nlstate);
       gp=matrix(0,nhstepm,1,nlstate);
       gm=matrix(0,nhstepm,1,nlstate);
   
   
       for(theta=1; theta <=npar; theta++){
         for(i=1; i<=npar; i++){ /* Computes gradient x + delta*/
           xp[i] = x[i] + (i==theta ?delti[theta]:0);
         }
         hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);  
         prevalim(prlim,nlstate,xp,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];
           }
         }
     
         for(j=1; j<= nlstate; j++){
           for(h=0; h<=nhstepm; h++){
             for(i=1, gp[h][j]=0.;i<=nlstate;i++)
               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++){
           for(i=1,gpp[j]=0.; i<= nlstate; i++)
             gpp[j] += prlim[i][i]*p3mat[i][j][1];
         }    
         /* end probability of death */
   
         for(i=1; i<=npar; i++) /* Computes gradient x - delta */
           xp[i] = x[i] - (i==theta ?delti[theta]:0);
         hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);  
         prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);
    
         if (popbased==1) {
           if(mobilav ==0){
             for(i=1; i<=nlstate;i++)
               prlim[i][i]=probs[(int)age][i][ij];
           }else{ /* mobilav */ 
             for(i=1; i<=nlstate;i++)
               prlim[i][i]=mobaverage[(int)age][i][ij];
           }
         }
   
         for(j=1; j<= nlstate; j++){  /* Sum of wi * eij = e.j */
           for(h=0; h<=nhstepm; h++){
             for(i=1, gm[h][j]=0.;i<=nlstate;i++)
               gm[h][j] += prlim[i][i]*p3mat[i][j][h];
           }
         }
         /* This for computing probability of death (h=1 means
            computed over hstepm matrices product = hstepm*stepm months) 
            as a weighted average of prlim.
         */
         for(j=nlstate+1;j<=nlstate+ndeath;j++){
           for(i=1,gmp[j]=0.; i<= nlstate; i++)
            gmp[j] += prlim[i][i]*p3mat[i][j][1];
         }    
         /* end probability of death */
   
         for(j=1; j<= nlstate; j++) /* vareij */
           for(h=0; h<=nhstepm; h++){
             gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta];
           }
   
         for(j=nlstate+1; j<= nlstate+ndeath; j++){ /* var mu */
           gradgp[theta][j]= (gpp[j]-gmp[j])/2./delti[theta];
         }
   
       } /* End theta */
   
       trgradg =ma3x(0,nhstepm,1,nlstate,1,npar); /* veij */
   
       for(h=0; h<=nhstepm; h++) /* veij */
         for(j=1; j<=nlstate;j++)
           for(theta=1; theta <=npar; theta++)
             trgradg[h][j][theta]=gradg[h][theta][j];
   
       for(j=nlstate+1; j<=nlstate+ndeath;j++) /* mu */
         for(theta=1; theta <=npar; theta++)
           trgradgp[j][theta]=gradgp[theta][j];
     
   
       hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
       for(i=1;i<=nlstate;i++)
         for(j=1;j<=nlstate;j++)
           vareij[i][j][(int)age] =0.;
   
       for(h=0;h<=nhstepm;h++){
         for(k=0;k<=nhstepm;k++){
           matprod2(dnewm,trgradg[h],1,nlstate,1,npar,1,npar,matcov);
           matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg[k]);
           for(i=1;i<=nlstate;i++)
             for(j=1;j<=nlstate;j++)
               vareij[i][j][(int)age] += doldm[i][j]*hf*hf;
         }
       }
     
       /* pptj */
       matprod2(dnewmp,trgradgp,nlstate+1,nlstate+ndeath,1,npar,1,npar,matcov);
       matprod2(doldmp,dnewmp,nlstate+1,nlstate+ndeath,1,npar,nlstate+1,nlstate+ndeath,gradgp);
       for(j=nlstate+1;j<=nlstate+ndeath;j++)
         for(i=nlstate+1;i<=nlstate+ndeath;i++)
           varppt[j][i]=doldmp[j][i];
       /* end ppptj */
       /*  x centered again */
       hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm,savm, ij);  
       prevalim(prlim,nlstate,x,age,oldm,savm,ftolpl,ij);
    
       if (popbased==1) {
         if(mobilav ==0){
           for(i=1; i<=nlstate;i++)
             prlim[i][i]=probs[(int)age][i][ij];
         }else{ /* mobilav */ 
           for(i=1; i<=nlstate;i++)
             prlim[i][i]=mobaverage[(int)age][i][ij];
         }
       }
                
       /* This for computing probability of death (h=1 means
          computed over hstepm (estepm) matrices product = hstepm*stepm months) 
          as a weighted average of prlim.
       */
       for(j=nlstate+1;j<=nlstate+ndeath;j++){
         for(i=1,gmp[j]=0.;i<= nlstate; i++) 
           gmp[j] += prlim[i][i]*p3mat[i][j][1]; 
       }    
       /* end probability of death */
   
       fprintf(ficresprobmorprev,"%3d %d ",(int) age, ij);
       for(j=nlstate+1; j<=(nlstate+ndeath);j++){
         fprintf(ficresprobmorprev," %11.3e %11.3e",gmp[j], sqrt(varppt[j][j]));
         for(i=1; i<=nlstate;i++){
           fprintf(ficresprobmorprev," %11.3e %11.3e ",prlim[i][i],p3mat[i][j][1]);
         }
       } 
       fprintf(ficresprobmorprev,"\n");
   
       fprintf(ficresvij,"%.0f ",age );
       for(i=1; i<=nlstate;i++)
         for(j=1; j<=nlstate;j++){
           fprintf(ficresvij," %.4f", vareij[i][j][(int)age]);
         }
       fprintf(ficresvij,"\n");
       free_matrix(gp,0,nhstepm,1,nlstate);
       free_matrix(gm,0,nhstepm,1,nlstate);
       free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate);
       free_ma3x(trgradg,0,nhstepm,1,nlstate,1,npar);
       free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
     } /* End age */
     free_vector(gpp,nlstate+1,nlstate+ndeath);
     free_vector(gmp,nlstate+1,nlstate+ndeath);
     free_matrix(gradgp,1,npar,nlstate+1,nlstate+ndeath);
     free_matrix(trgradgp,nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
     fprintf(ficgp,"\nunset parametric;unset label; set ter png small size 320, 240");
     /* 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 lt 1 ",subdirf(fileresprobmorprev));
     fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)) t \"95%% interval\" w l lt 2 ",subdirf(fileresprobmorprev));
     fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)) not w l lt 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 **dnewm,**doldm;
     int i, j, nhstepm, hstepm;
     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,  k1, l1, tj;
     int k2, l2, j1,  z1;
     int k=0, l;
     int first=1, first1, first2;
     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, cov[NCOVMAX+1];
     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; */
     tj = (int) pow(2,cptcoveff);
     if (cptcovn<1) {tj=1;ncodemax[1]=1;}
     j1=0;
     for(j1=1; j1<=tj;j1++){
       /*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#");    
         }
         
         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 (age=bage; age<=fage; age ++){ 
           cov[2]=age;
           for (k=1; k<=cptcovn;k++) {
             cov[2+k]=nbcode[Tvar[k]][codtab[j1][Tvar[k]]];/* j1 1 2 3 4
                                                            * 1  1 1 1 1
                                                            * 2  2 1 1 1
                                                            * 3  1 2 1 1
                                                            */
             /* nbcode[1][1]=0 nbcode[1][2]=1;*/
           }
           for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2];
           for (k=1; k<=cptcovprod;k++)
             cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]]*nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]];
           
       
           for(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);
   
           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++;
               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++){
                 /* printf(" k=%d l=%d i=%d j=%d\n",k,l,i,j);fflush(stdout); */
                 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 */
         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);
         
         /* 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;first2=2;
         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) ){
                       if(first2==1){
                         first1=0;
                       printf("Strange: j1=%d 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. Probably WRONG RESULTS. See log file for details...\n", j1, lc1, lc2, v1, v2, cv12, i, j, (int)age,fileresprobcov, fileresprobcor);
                       }
                       fprintf(ficlog,"Strange: j1=%d 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. Probably WRONG RESULTS.\n", j1, lc1, lc2, v1, v2, cv12, i, j, (int)age,fileresprobcov, fileresprobcor);fflush(ficlog);
                       /* lc1=fabs(lc1); */ /* If we want to have them positive */
                       /* 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 size 320, 240");
                       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=pow(2,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%d_1.png\">%s%d_1.png</a><br> \
   <img src=\"%s%d_1.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%d_2.png\">%s%d_2.png</a><br> \
   <img src=\"%s%d_2.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>- Convergence to period (stable) prevalence in state %d. Or probability to be in state %d being in state (1 to %d) at different ages. <a href=\"%s%d_%d.png\">%s%d_%d.png</a><br> \
   <img src=\"%s%d_%d.png\">", cpt, cpt, nlstate, 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 in each alive state (1 to %d) : <a href=\"%s%d%d.png\">%s%d%d.png</a> <br> \
   <img src=\"%s%d%d.png\">",cpt,nlstate,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=pow(2,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 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*/
     fprintf(ficgp,"\n# 1st: Period (stable) prevalence with CI: 'vpl' files\n");
     for (cpt=1; cpt<= nlstate ; cpt ++) {
       for (k1=1; k1<= m ; k1 ++) { /* plot [100000000000000000000:-100000000000000000000] "mysbiaspar/vplrmysbiaspar.txt to check */
        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 size 320, 240\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 lt 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 lt 1,\"%s\" every :::%d::%d u 1:($2-1.96*$3) \"%%lf",subdirf2(fileres,"vpl"),k1-1,k1-1); 
        for (i=1; i<= nlstate ; i ++) {
          if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
          else fprintf(ficgp," %%*lf (%%*lf)");
        }  
        fprintf(ficgp,"\" t\"\" w l lt 1,\"%s\" every :::%d::%d u 1:($%d) t\"Observed prevalence \" w l lt 2",subdirf2(fileres,"p"),k1-1,k1-1,2+4*(cpt-1));
      }
     }
     /*2 eme*/
     fprintf(ficgp,"\n# 2nd: Total life expectancy with CI: 't' files\n");
     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 size 320, 240\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 lt 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 lt 0");
         else fprintf(ficgp,"\" t\"\" w l lt 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 size 320, 240\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 each multivariate if any */
       for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state */
         k=3;
         fprintf(ficgp,"\n#\n#\n#CV preval stable (period): 'pij' files, cov=%d state=%d",k1, cpt);
         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 size 320, 240\n\
   unset log y\n\
   plot [%.f:%.f]  ", ageminpar, agemaxpar);
         for (i=1; i<= nlstate ; i ++){
           if(i==1)
             fprintf(ficgp,"\"%s\"",subdirf2(fileres,"pij"));
           else
             fprintf(ficgp,", '' ");
           l=(nlstate+ndeath)*(i-1)+1;
           fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l);
           for (j=1; j<= (nlstate-1) ; j ++)
             fprintf(ficgp,"+$%d",k+l+j);
           fprintf(ficgp,")) t \"prev(%d,%d)\" w l",i,cpt);
         } /* nlstate */
         fprintf(ficgp,"\n");
       } /* end cpt state*/ 
     } /* end covariate */  
     
     /* 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");
           }
         }
       }
      }
     /*goto avoid;*/
      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 size 320, 240\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;/* To be checked else nbcode[0][0] wrong */
                for(j=3; j <=ncovmodel; j++) {
                  /* if(((j-2)==Tage[ij]) &&(ij <=cptcovage)) { /\* Bug valgrind *\/ */
                  /*        /\*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 */
    /* avoid: */
      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 ******************/
   void 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, cptcod, i, h, i1;
     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*************/
   void 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];
     int i,j, k, 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 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 size 320, 240\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=0, j=0, n=0;
     int linei, month, year,iout;
     char line[MAXLINE], linetmp[MAXLINE];
     char stra[MAXLINE], strb[MAXLINE];
     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 */
       strcpy(line, linetmp);
     
   
       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 %d 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 %d 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.",dummy)) != 0){
           month=99;
           year=9999;
         }else{
           printf("Error reading data around '%s' at line number %d 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 %d 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 %d 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 %d 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.", dummy)) != 0){
         month=99;
         year=9999;
       }else{
         printf("Error reading data around '%s' at line number %d 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 %d 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 %d 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 %d 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 %d, \"%s\" for individual %d\nShould be a weight.  Exiting.\n",dval, i,line,linei);
         fprintf(ficlog,"Error reading data around '%f' at line number %d, \"%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 '%ld' at line number %d 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 '%ld' at line number %d 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 '%ld' at line number %d 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 '%ld' at line number %d 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);
   
   
   
   }
   void removespace(char *str) {
     char *p1 = str, *p2 = str;
     do
       while (*p2 == ' ')
         p2++;
     while (*p1++ == *p2++);
   }
   
   int decodemodel ( char model[], int lastobs) /**< This routine decode the model and returns:
      * Model  V1+V2+V3+V8+V7*V8+V5*V6+V8*age+V3*age
      * - cptcovt total number of covariates of the model nbocc(+)+1 = 8
      * - cptcovn or number of covariates k of the models excluding age*products =6
      * - cptcovage number of covariates with age*products =2
      * - cptcovs number of simple covariates
      * - Tvar[k] is the id of the kth covariate Tvar[1]@12 {1, 2, 3, 8, 10, 11, 8, 3, 7, 8, 5, 6}, thus Tvar[5=V7*V8]=10
      *     which is a new column after the 9 (ncovcol) variables. 
      * - if k is a product Vn*Vm covar[k][i] is filled with correct values for each individual
      * - Tprod[l] gives the kth covariates of the product Vn*Vm l=1 to cptcovprod-cptcovage
      *    Tprod[1]@2 {5, 6}: position of first product V7*V8 is 5, and second V5*V6 is 6.
      * - Tvard[k]  p Tvard[1][1]@4 {7, 8, 5, 6} for V7*V8 and V5*V6 .
    */
   {
     int i, j, k, ks;
     int  j1, k1, k2;
     char modelsav[80];
     char stra[80], strb[80], strc[80], strd[80],stre[80];
   
     /*removespace(model);*/
     if (strlen(model) >1){ /* If there is at least 1 covariate */
       j=0, j1=0, k1=0, k2=-1, ks=0, cptcovn=0;
       j=nbocc(model,'+'); /**< j=Number of '+' */
       j1=nbocc(model,'*'); /**< j1=Number of '*' */
       cptcovs=j+1-j1; /**<  Number of simple covariates V1+V2*age+V3 +V3*V4=> V1 + V3 =2  */
       cptcovt= j+1; /* Number of total covariates in the model V1 + V2*age+ V3 + V3*V4=> 4*/
                     /* including age products which are counted in cptcovage.
                     * but the covariates which are products must be treated separately: ncovn=4- 2=2 (V1+V3). */
       cptcovprod=j1; /**< Number of products  V1*V2 +v3*age = 2 */
       cptcovprodnoage=0; /**< Number of covariate products without age: V3*V4 =1  */
       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;
       }
       if (strstr(model,"v") !=0){
         printf("Error. 'v' must be in upper case 'V' model=%s ",model);
         fprintf(ficlog,"Error. 'v' must be in upper case model=%s ",model);fflush(ficlog);
         return 1;
       }
       
       /*   Design
        *  V1   V2   V3   V4  V5  V6  V7  V8  V9 Weight
        *  <          ncovcol=8                >
        * Model V2 + V1 + V3*age + V3 + V5*V6 + V7*V8 + V8*age + V8
        *   k=  1    2      3       4     5       6      7        8
        *  cptcovn number of covariates (not including constant and age ) = # of + plus 1 = 7+1=8
        *  covar[k,i], value of kth covariate if not including age for individual i:
        *       covar[1][i]= (V2), covar[4][i]=(V3), covar[8][i]=(V8)
        *  Tvar[k] # of the kth covariate:  Tvar[1]=2  Tvar[4]=3 Tvar[8]=8
        *       if multiplied by age: V3*age Tvar[3=V3*age]=3 (V3) Tvar[7]=8 and 
        *  Tage[++cptcovage]=k
        *       if products, new covar are created after ncovcol with k1
        *  Tvar[k]=ncovcol+k1; # of the kth covariate product:  Tvar[5]=ncovcol+1=10  Tvar[6]=ncovcol+1=11
        *  Tprod[k1]=k; Tprod[1]=5 Tprod[2]= 6; gives the position of the k1th product
        *  Tvard[k1][1]=m Tvard[k1][2]=m; Tvard[1][1]=5 (V5) Tvard[1][2]=6 Tvard[2][1]=7 (V7) Tvard[2][2]=8
        *  Tvar[cptcovn+k2]=Tvard[k1][1];Tvar[cptcovn+k2+1]=Tvard[k1][2];
        *  Tvar[8+1]=5;Tvar[8+2]=6;Tvar[8+3]=7;Tvar[8+4]=8 inverted
        *  V1   V2   V3   V4  V5  V6  V7  V8  V9  V10  V11
        *  <          ncovcol=8                >
        *       Model V2 + V1 + V3*age + V3 + V5*V6 + V7*V8 + V8*age + V8    d1   d1   d2  d2
        *          k=  1    2      3       4     5       6      7        8    9   10   11  12
        *     Tvar[k]= 2    1      3       3    10      11      8        8    5    6    7   8
        * p Tvar[1]@12={2,   1,     3,      3,   11,     10,     8,       8,   7,   8,   5,  6}
        * p Tprod[1]@2={                         6, 5}
        *p Tvard[1][1]@4= {7, 8, 5, 6}
        * covar[k][i]= V2   V1      ?      V3    V5*V6?   V7*V8?  ?       V8   
        *  cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
        *How to reorganize?
        * Model V1 + V2 + V3 + V8 + V5*V6 + V7*V8 + V3*age + V8*age
        * Tvars {2,   1,     3,      3,   11,     10,     8,       8,   7,   8,   5,  6}
        *       {2,   1,     4,      8,    5,      6,     3,       7}
        * Struct []
        */
   
       /* 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]; */
       /*
        * Treating invertedly V2+V1+V3*age+V2*V4 is as if written V2*V4 +V3*age + V1 + V2 */
       for(k=cptcovt; k>=1;k--) /**< Number of covariates */
           Tvar[k]=0;
       cptcovage=0;
       for(k=1; k<=cptcovt;k++){ /* Loop on total covariates of the model */
         cutl(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 */
           cutl(strc,strd,strb,'*'); /**< strd*strc  Vm*Vn: strb=V3*age(input) strc=age strd=V3 ; V3*V2 strc=V2, strd=V3 */
           if (strcmp(strc,"age")==0) { /**< Model includes age: Vn*age */
             /* covar is not filled and then is empty */
             cptcovprod--;
             cutl(stre,strb,strd,'V'); /* strd=V3(input): stre="3" */
             Tvar[k]=atoi(stre);  /* V2+V1+V4+V3*age Tvar[4]=3 ; 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--;
             cutl(stre,strb,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 */
             cptcovn++;
             cptcovprodnoage++;k1++;
             cutl(stre,strb,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 */
             cutl(strc,strb,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*/
             k2=k2+2;
             Tvar[cptcovt+k2]=Tvard[k1][1]; /* Tvar[(cptcovt=4+k2=1)=5]= 1 (V1) */
             Tvar[cptcovt+k2+1]=Tvard[k1][2];  /* Tvar[(cptcovt=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 May not be defined */
               covar[ncovcol+k1][i]=covar[atoi(stre)][i]*covar[atoi(strc)][i];
             }
           } /* 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);*/
           cutl(strd,strc,strb,'V');
           ks++; /**< Number of simple covariates */
           cptcovn++;
           Tvar[k]=atoi(strd);
         }
         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);
   }
   
   int 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 = *nberr + 1;
           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 (%d)\n",(int)moisdc[i],(int)andc[i],num[i],i, *nberr);
           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 (%d)\n",(int)moisdc[i],(int)andc[i],num[i],i, *nberr);
           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;
                 }
               }
             } /* agedc > 0 */
           }
           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(" Max anint[%d][%d]=%.0f annais[%d]=%.0f, agemax=%.2f\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);
   }
   
   #if defined(_MSC_VER)
   /*printf("Visual C++ compiler: %s \n;", _MSC_FULL_VER);*/
   /*fprintf(ficlog, "Visual C++ compiler: %s \n;", _MSC_FULL_VER);*/
   //#include "stdafx.h"
   //#include <stdio.h>
   //#include <tchar.h>
   //#include <windows.h>
   //#include <iostream>
   typedef BOOL(WINAPI *LPFN_ISWOW64PROCESS) (HANDLE, PBOOL);
   
   LPFN_ISWOW64PROCESS fnIsWow64Process;
   
   BOOL IsWow64()
   {
           BOOL bIsWow64 = FALSE;
   
           //typedef BOOL (APIENTRY *LPFN_ISWOW64PROCESS)
           //  (HANDLE, PBOOL);
   
           //LPFN_ISWOW64PROCESS fnIsWow64Process;
   
           HMODULE module = GetModuleHandle(_T("kernel32"));
           const char funcName[] = "IsWow64Process";
           fnIsWow64Process = (LPFN_ISWOW64PROCESS)
                   GetProcAddress(module, funcName);
   
           if (NULL != fnIsWow64Process)
           {
                   if (!fnIsWow64Process(GetCurrentProcess(),
                           &bIsWow64))
                           //throw std::exception("Unknown error");
                           printf("Unknown error\n");
           }
           return bIsWow64 != FALSE;
   }
   #endif
   
   void syscompilerinfo()
    {
      /* #include "syscompilerinfo.h"*/
   
   #if defined __INTEL_COMPILER
      struct utsname sysInfo;
   #elif defined(__GNUC__) 
   #include <gnu/libc-version.h>  /* Only on gnu */
      struct utsname sysInfo;
   #endif
   
   #include <stdint.h>
      int cross = CROSS;
      if (cross){
        printf("Cross-");
        fprintf(ficlog,"Cross-");
      }
      printf("Compiled with:");fprintf(ficlog,"Compiled with:");
   #if defined(__clang__)
      printf(" Clang/LLVM");fprintf(ficlog," Clang/LLVM"); /* Clang/LLVM. ---------------------------------------------- */
   #endif
   #if defined(__ICC) || defined(__INTEL_COMPILER)
      printf(" Intel ICC/ICPC");fprintf(ficlog," Intel ICC/ICPC");/* Intel ICC/ICPC. ------------------------------------------ */
   #endif
   #if defined(__GNUC__) || defined(__GNUG__)
      printf(" GNU GCC/G++");fprintf(ficlog," GNU GCC/G++");/* GNU GCC/G++. --------------------------------------------- */
   #endif
   #if defined(__HP_cc) || defined(__HP_aCC)
      printf(" Hewlett-Packard C/aC++");fprintf(fcilog," Hewlett-Packard C/aC++"); /* Hewlett-Packard C/aC++. ---------------------------------- */
   #endif
   #if defined(__IBMC__) || defined(__IBMCPP__)
      printf(" IBM XL C/C++"); fprintf(ficlog," IBM XL C/C++");/* IBM XL C/C++. -------------------------------------------- */
   #endif
   #if defined(_MSC_VER)
      printf(" Microsoft Visual Studio");fprintf(ficlog," Microsoft Visual Studio");/* Microsoft Visual Studio. --------------------------------- */
   #endif
   #if defined(__PGI)
      printf(" Portland Group PGCC/PGCPP");fprintf(ficlog," Portland Group PGCC/PGCPP");/* Portland Group PGCC/PGCPP. ------------------------------- */
   #endif
   #if defined(__SUNPRO_C) || defined(__SUNPRO_CC)
      printf(" Oracle Solaris Studio");fprintf(ficlog," Oracle Solaris Studio\n");/* Oracle Solaris Studio. ----------------------------------- */
   #endif
      printf(" for ");fprintf(ficlog," for ");
      
   // http://stackoverflow.com/questions/4605842/how-to-identify-platform-compiler-from-preprocessor-macros
   #ifdef _WIN32 // note the underscore: without it, it's not msdn official!
       // Windows (x64 and x86)
      printf("Windows (x64 and x86) ");fprintf(ficlog,"Windows (x64 and x86) ");
   #elif __unix__ // all unices, not all compilers
       // Unix
      printf("Unix ");fprintf(ficlog,"Unix ");
   #elif __linux__
       // linux
      printf("linux ");fprintf(ficlog,"linux ");
   #elif __APPLE__
       // Mac OS, not sure if this is covered by __posix__ and/or __unix__ though..
      printf("Mac OS ");fprintf(ficlog,"Mac OS ");
   #endif
   
   /*  __MINGW32__   */
   /*  __CYGWIN__   */
   /* __MINGW64__  */
   // http://msdn.microsoft.com/en-us/library/b0084kay.aspx
   /* _MSC_VER  //the Visual C++ compiler is 17.00.51106.1, the _MSC_VER macro evaluates to 1700. Type cl /?  */
   /* _MSC_FULL_VER //the Visual C++ compiler is 15.00.20706.01, the _MSC_FULL_VER macro evaluates to 150020706 */
   /* _WIN64  // Defined for applications for Win64. */
   /* _M_X64 // Defined for compilations that target x64 processors. */
   /* _DEBUG // Defined when you compile with /LDd, /MDd, and /MTd. */
   
   #if UINTPTR_MAX == 0xffffffff
      printf(" 32-bit"); fprintf(ficlog," 32-bit");/* 32-bit */
   #elif UINTPTR_MAX == 0xffffffffffffffff
      printf(" 64-bit"); fprintf(ficlog," 64-bit");/* 64-bit */
   #else
      printf(" wtf-bit"); fprintf(ficlog," wtf-bit");/* wtf */
   #endif
   
   #if defined(__GNUC__)
   # if defined(__GNUC_PATCHLEVEL__)
   #  define __GNUC_VERSION__ (__GNUC__ * 10000 \
                               + __GNUC_MINOR__ * 100 \
                               + __GNUC_PATCHLEVEL__)
   # else
   #  define __GNUC_VERSION__ (__GNUC__ * 10000 \
                               + __GNUC_MINOR__ * 100)
   # endif
      printf(" using GNU C version %d.\n", __GNUC_VERSION__);
      fprintf(ficlog, " using GNU C version %d.\n", __GNUC_VERSION__);
   
      if (uname(&sysInfo) != -1) {
        printf("Running on: %s %s %s %s %s\n",sysInfo.sysname, sysInfo.nodename, sysInfo.release, sysInfo.version, sysInfo.machine);
        fprintf(ficlog,"Running on: %s %s %s %s %s\n ",sysInfo.sysname, sysInfo.nodename, sysInfo.release, sysInfo.version, sysInfo.machine);
      }
      else
         perror("uname() error");
   #ifndef __INTEL_COMPILER
      printf("GNU libc version: %s\n", gnu_get_libc_version()); 
      fprintf(ficlog,"GNU libc version: %s\n", gnu_get_libc_version()); 
   #endif
   #endif
   
      //   void main()
      //   {
   #if defined(_MSC_VER)
      if (IsWow64()){
              printf("The program (probably compiled for 32bit) is running under WOW64 (64bit) emulation.\n");
              fprintf(ficlog, "The program (probably compiled for 32bit) is running under WOW64 (64bit) emulation.\n");
      }
      else{
              printf("The process is not running under WOW64 (i.e probably on a 64bit Windows).\n");
              frintf(ficlog,"The programm is not running under WOW64 (i.e probably on a 64bit Windows).\n");
      }
      //      printf("\nPress Enter to continue...");
      //      getchar();
      //   }
   
   #endif
      
   
    }
   
   /***********************************************/
   /**************** 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=0,m,size=100, cptcod;
   
     int jj, ll, li, lj, lk;
     int numlinepar=0; /* Current linenumber of parameter file */
     int itimes;
     int NDIM=2;
     int vpopbased=0;
   
     char ca[32], cb[32];
     /*  FILE *fichtm; *//* Html File */
     /* FILE *ficgp;*/ /*Gnuplot File */
     struct stat info;
     double agedeb;
     double ageminpar=1.e20,agemin=1.e20, agemaxpar=-1.e20, agemax=-1.e20;
   
     double fret;
     double dum; /* Dummy variable */
     double ***p3mat;
     double ***mobaverage;
   
     char line[MAXLINE];
     char path[MAXLINE],pathc[MAXLINE],pathcd[MAXLINE],pathtot[MAXLINE],model[MAXLINE];
     char pathr[MAXLINE], pathimach[MAXLINE]; 
     char *tok, *val; /* pathtot */
     int firstobs=1, lastobs=10;
     int c,  h , cpt;
     int jl;
     int i1, j1, jk, stepsize;
     int *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=0, fage=110, 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 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]="1234";
     int *dcwave;
   
     char z[1]="c";
   
     /*char  *strt;*/
     char strtend[80];
   
   
   /*   setlocale (LC_ALL, ""); */
   /*   bindtextdomain (PACKAGE, LOCALEDIR); */
   /*   textdomain (PACKAGE); */
   /*   setlocale (LC_CTYPE, ""); */
   /*   setlocale (LC_MESSAGES, ""); */
   
     /*   gettimeofday(&start_time, (struct timezone*)0); */ /* at first time */
     rstart_time = time(NULL);  
     /*  (void) gettimeofday(&start_time,&tzp);*/
     start_time = *localtime(&rstart_time);
     curr_time=start_time;
     /*tml = *localtime(&start_time.tm_sec);*/
     /* strcpy(strstart,asctime(&tml)); */
     strcpy(strstart,asctime(&start_time));
   
   /*  printf("Localtime (at start)=%s",strstart); */
   /*  tp.tm_sec = tp.tm_sec +86400; */
   /*  tm = *localtime(&start_time.tm_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.tm_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';
       i=strlen(pathr);
       if(pathr[i-1]==' ') /* This may happen when dragging on oS/X! */
         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("Directory already exists (or can't create it) %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);
   
     syscompilerinfo();
   
     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.tm_sec-start_time.tm_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' with errno='%s'\n",optionfile,strerror(errno));
       fprintf(ficlog,"Problem with optionfile '%s' with errno='%s'\n",optionfile,strerror(errno));
       fflush(ficlog);
       /* goto end; */
       exit(70); 
     }
   
   
   
     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++;
       fputs(line,stdout);
       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++;
       fputs(line, stdout);
       //puts(line);
       fputs(line,ficparo);
       fputs(line,ficlog);
     }
     ungetc(c,ficpar);
   
      
     covar=matrix(0,NCOVMAX,1,n);  /**< used in readdata */
     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) 
       ncovmodel=2+nbocc(model,'+')+1; /*Number of variables including intercept and age = cptcovn + intercept + age : v1+v2+v3+v2*v4+v5*age makes 5+2=7*/
     else
       ncovmodel=2;
     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 guessed parameters */
       /* Reads comments: lines beginning with '#' */
       while((c=getc(ficpar))=='#' && c!= EOF){
         ungetc(c,ficpar);
         fgets(line, MAXLINE, ficpar);
         numlinepar++;
         fputs(line,stdout);
         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);
   
       /* Reads scales values */
       p=param[1][1];
       
       /* Reads comments: lines beginning with '#' */
       while((c=getc(ficpar))=='#' && c!= EOF){
         ungetc(c,ficpar);
         fgets(line, MAXLINE, ficpar);
         numlinepar++;
         fputs(line,stdout);
         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);
   
       /* Reads covariance matrix */
       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++;
         fputs(line,stdout);
         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,NCOVMAX); /* Number of code per covariate; if O and 1 only, 2**ncov; V1+V2+V3+V4=>16 */
   
     /* 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,NCOVMAX); /* Gives the position of a product */
     /* 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,NCOVMAX); /* Unclear */
     Tvard=imatrix(1,NCOVMAX,1,2); /* n=Tvard[k1][1]  and m=Tvard[k1][2] gives the couple n,m of the k1 th product Vn*Vm
                               * For V3*V2 (in V2+V1+V1*V4+age*V3+V3*V2), V3*V2 position is 2nd. 
                               * Tvard[k1=2][1]=3 (V3) Tvard[k1=2][2]=2(V2) */
     Tage=ivector(1,NCOVMAX); /* 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;
     Ndum =ivector(-1,NCOVMAX);  
     if (ncovmodel > 2)
       tricode(Tvar,nbcode,imx, Ndum); /**< Fills nbcode[Tvar[j]][l]; */
   
     codtab=imatrix(1,100,1,10); /* codtab[h,k]=( (h-1) - mod(k-1,2**(k-1) )/2**(k-1) */
     /*printf(" codtab[1,1],codtab[100,10]=%d,%d\n", codtab[1][1],codtab[100][10]);*/
     h=0;
   
   
     /*if (cptcovn > 0) */
         
    
     m=pow(2,cptcoveff);
    
     for(k=1;k<=cptcoveff; k++){ /* scans any effective covariate */
       for(i=1; i <=pow(2,cptcoveff-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 ncodemax=2*/
           for(cpt=1; cpt <=pow(2,k-1); 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)  k   = codtab[h,k]=( (h-1) - mod(k-1,2**(k-1) )/2**(k-1) + 1
              *     h     1     2     3     4
              *______________________________  
              *     1 i=1 1 i=1 1 i=1 1 i=1 1
              *     2     2     1     1     1
              *     3 i=2 1     2     1     1
              *     4     2     2     1     1
              *     5 i=3 1 i=2 1     2     1
              *     6     2     1     2     1
              *     7 i=4 1     2     2     1
              *     8     2     2     2     1
              *     9 i=5 1 i=3 1 i=2 1     1
              *    10     2     1     1     1
              *    11 i=6 1     2     1     1
              *    12     2     2     1     1
              *    13 i=7 1 i=4 1     2     1    
              *    14     2     1     2     1
              *    15 i=8 1     2     2     1
              *    16     2     2     2     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);*/
   
    free_ivector(Ndum,-1,NCOVMAX);
   
   
       
     /*------------ 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");
       fprintf(ficgp,"set datafile 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");
   #else
       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");
   #else
       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);
         fputs(line,stdout);
         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);
         fputs(line,stdout);
         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);
         fputs(line,stdout);
         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);
         fputs(line,stdout);
         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) --------------*/
   #include "prevlim.h"  /* Use ficrespl, ficlog */
       fclose(ficrespl);
   
   #ifdef FREEEXIT2
   #include "freeexit2.h"
   #endif
   
       /*------------- h Pij x at various ages ------------*/
   #include "hpijx.h"
       fclose(ficrespij);
   
     /*-------------- Variance of one-step probabilities---*/
       k=1;
       varprob(optionfilefiname, matcov, p, delti, nlstate, bage, fage,k,Tvar,nbcode, ncodemax,strstart);
   
   
       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++){*/
             
       for (k=1; k <= (int) pow(2,cptcoveff); k++){
           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++){*/
             
       for (k=1; k <= (int) pow(2,cptcoveff); k++){
           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);  
           /*
            */
           /* goto endfree; */
    
           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; /* Segmentation fault */
             cptcod= 0; /* To be deleted */
             varevsij(optionfilefiname, vareij, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k, estepm, cptcov,cptcod,vpopbased,mobilav, strstart); /* cptcod not initialized Intel */
             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,NCOVMAX,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++){*/
             
       for (k=1; k <= (int) pow(2,cptcoveff); k++){
           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); /*here or after loop ? */
       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,NCOVMAX);
       free_ivector(Tvar,1,NCOVMAX);
       free_ivector(Tprod,1,NCOVMAX);
       free_ivector(Tvaraff,1,NCOVMAX);
       free_ivector(Tage,1,NCOVMAX);
   
       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);*/
     rend_time = time(NULL);  
     end_time = *localtime(&rend_time);
     /* tml = *localtime(&end_time.tm_sec); */
     strcpy(strtend,asctime(&end_time));
     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(rend_time -rstart_time,tmpout));
   
     printf("Total time was %.0lf Sec.\n", difftime(rend_time,rstart_time));
     fprintf(ficlog,"Total time used %s\n", asc_diff_time(rend_time -rstart_time,tmpout));
     fprintf(ficlog,"Total time was %.0lf Sec.\n", difftime(rend_time,rstart_time));
     /*  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");
   #ifdef _WIN32
     sprintf(plotcmd,"\"%sgnuplot.exe\"",pathimach);
   #endif
     if(!stat(plotcmd,&info)){
       printf("Error or gnuplot program not found: '%s'\n",plotcmd);fflush(stdout);
       if(!stat(getenv("GNUPLOTBIN"),&info)){
         printf("Error or 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("gnuplot command might not be in your path: '%s', err=%d\n", plotcmd, outcmd);
       printf("\n Trying if gnuplot resides on the same directory that IMaCh\n");
       sprintf(plotcmd,"%sgnuplot %s", pathimach, optionfilegnuplot);
       if((outcmd=system(plotcmd)) != 0)
         printf("\n Still a problem with gnuplot command %s, err=%d\n", plotcmd, outcmd);
     }
     printf(" Successful, please wait...");
     while (z[0] != 'q') {
       /* chdir(path); */
       printf("\nType e to edit results with your browser, g to graph again and q for exit: ");
       scanf("%s",z);
   /*     if (z[0] == 'c') system("./imach"); */
       if (z[0] == 'e') {
   #ifdef __APPLE__
         sprintf(pplotcmd, "open %s", optionfilehtm);
   #elif __linux
         sprintf(pplotcmd, "xdg-open %s", optionfilehtm);
   #else
         sprintf(pplotcmd, "%s", optionfilehtm);
   #endif
         printf("Starting browser with: %s",pplotcmd);fflush(stdout);
         system(pplotcmd);
       }
       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.1.23  
changed lines
  Added in v.1.177


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