Diff for /imach/src/imach.c between versions 1.49 and 1.229

version 1.49, 2002/06/20 14:03:39 version 1.229, 2016/07/23 09:45:53
Line 1 Line 1
 /* $Id$  /* $Id$
    Interpolated Markov Chain    $State$
     $Log$
   Short summary of the programme:    Revision 1.229  2016/07/23 09:45:53  brouard
      Summary: Completing for func too
   This program computes Healthy Life Expectancies from  
   cross-longitudinal data. Cross-longitudinal data consist in: -1- a    Revision 1.228  2016/07/22 17:45:30  brouard
   first survey ("cross") where individuals from different ages are    Summary: Fixing some arrays, still debugging
   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 1.226  2016/07/12 18:42:34  brouard
   second wave of interviews ("longitudinal") which measure each change    Summary: temp
   (if any) in individual health status.  Health expectancies are  
   computed from the time spent in each health state according to a    Revision 1.225  2016/07/12 08:40:03  brouard
   model. More health states you consider, more time is necessary to reach the    Summary: saving but not running
   Maximum Likelihood of the parameters involved in the model.  The  
   simplest model is the multinomial logistic model where pij is the    Revision 1.224  2016/07/01 13:16:01  brouard
   probability to be observed in state j at the second wave    Summary: Fixes
   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 1.223  2016/02/19 09:23:35  brouard
   'age' is age and 'sex' is a covariate. If you want to have a more    Summary: temporary
   complex model than "constant and age", you should modify the program  
   where the markup *Covariates have to be included here again* invites    Revision 1.222  2016/02/17 08:14:50  brouard
   you to do it.  More covariates you add, slower the    Summary: Probably last 0.98 stable version 0.98r6
   convergence.  
     Revision 1.221  2016/02/15 23:35:36  brouard
   The advantage of this computer programme, compared to a simple    Summary: minor bug
   multinomial logistic model, is clear when the delay between waves is not  
   identical for each individual. Also, if a individual missed an    Revision 1.219  2016/02/15 00:48:12  brouard
   intermediate interview, the information is lost, but taken into    *** empty log message ***
   account using an interpolation or extrapolation.    
     Revision 1.218  2016/02/12 11:29:23  brouard
   hPijx is the probability to be observed in state i at age x+h    Summary: 0.99 Back projections
   conditional to the observed state i at age x. The delay 'h' can be  
   split into an exact number (nh*stepm) of unobserved intermediate    Revision 1.217  2015/12/23 17:18:31  brouard
   states. This elementary transition (by month or quarter trimester,    Summary: Experimental backcast
   semester or year) is model as a multinomial logistic.  The hPx  
   matrix is simply the matrix product of nh*stepm elementary matrices    Revision 1.216  2015/12/18 17:32:11  brouard
   and the contribution of each individual to the likelihood is simply    Summary: 0.98r4 Warning and status=-2
   hPijx.  
     Version 0.98r4 is now:
   Also this programme outputs the covariance matrix of the parameters but also     - displaying an error when status is -1, date of interview unknown and date of death known;
   of the life expectancies. It also computes the prevalence limits.     - permitting a status -2 when the vital status is unknown at a known date of right truncation.
      Older changes concerning s=-2, dating from 2005 have been supersed.
   Authors: Nicolas Brouard (brouard@ined.fr) and Agnès Lièvre (lievre@ined.fr).  
            Institut national d'études démographiques, Paris.    Revision 1.215  2015/12/16 08:52:24  brouard
   This software have been partly granted by Euro-REVES, a concerted action    Summary: 0.98r4 working
   from the European Union.  
   It is copyrighted identically to a GNU software product, ie programme and    Revision 1.214  2015/12/16 06:57:54  brouard
   software can be distributed freely for non commercial use. Latest version    Summary: temporary not working
   can be accessed at http://euroreves.ined.fr/imach .  
   **********************************************************************/    Revision 1.213  2015/12/11 18:22:17  brouard
      Summary: 0.98r4
 #include <math.h>  
 #include <stdio.h>    Revision 1.212  2015/11/21 12:47:24  brouard
 #include <stdlib.h>    Summary: minor typo
 #include <unistd.h>  
     Revision 1.211  2015/11/21 12:41:11  brouard
 #define MAXLINE 256    Summary: 0.98r3 with some graph of projected cross-sectional
 #define GNUPLOTPROGRAM "gnuplot"  
 /*#define GNUPLOTPROGRAM "..\\gp37mgw\\wgnuplot"*/    Author: Nicolas Brouard
 #define FILENAMELENGTH 80  
 /*#define DEBUG*/    Revision 1.210  2015/11/18 17:41:20  brouard
 #define windows    Summary: Start working on projected prevalences
 #define GLOCK_ERROR_NOPATH              -1      /* empty path */  
 #define GLOCK_ERROR_GETCWD              -2      /* cannot get cwd */    Revision 1.209  2015/11/17 22:12:03  brouard
     Summary: Adding ftolpl parameter
 #define MAXPARM 30 /* Maximum number of parameters for the optimization */    Author: N Brouard
 #define NPARMAX 64 /* (nlstate+ndeath-1)*nlstate*ncovmodel */  
     We had difficulties to get smoothed confidence intervals. It was due
 #define NINTERVMAX 8    to the period prevalence which wasn't computed accurately. The inner
 #define NLSTATEMAX 8 /* Maximum number of live states (for func) */    parameter ftolpl is now an outer parameter of the .imach parameter
 #define NDEATHMAX 8 /* Maximum number of dead states (for func) */    file after estepm. If ftolpl is small 1.e-4 and estepm too,
 #define NCOVMAX 8 /* Maximum number of covariates */    computation are long.
 #define MAXN 20000  
 #define YEARM 12. /* Number of months per year */    Revision 1.208  2015/11/17 14:31:57  brouard
 #define AGESUP 130    Summary: temporary
 #define AGEBASE 40  
 #ifdef windows    Revision 1.207  2015/10/27 17:36:57  brouard
 #define DIRSEPARATOR '\\'    *** empty log message ***
 #else  
 #define DIRSEPARATOR '/'    Revision 1.206  2015/10/24 07:14:11  brouard
 #endif    *** empty log message ***
   
 char version[80]="Imach version 0.8h, May 2002, INED-EUROREVES ";    Revision 1.205  2015/10/23 15:50:53  brouard
 int erreur; /* Error number */    Summary: 0.98r3 some clarification for graphs on likelihood contributions
 int nvar;  
 int cptcovn=0, cptcovage=0, cptcoveff=0,cptcov;    Revision 1.204  2015/10/01 16:20:26  brouard
 int npar=NPARMAX;    Summary: Some new graphs of contribution to likelihood
 int nlstate=2; /* Number of live states */  
 int ndeath=1; /* Number of dead states */    Revision 1.203  2015/09/30 17:45:14  brouard
 int ncovmodel, ncovcol;     /* Total number of covariables including constant a12*1 +b12*x ncovmodel=2 */    Summary: looking at better estimation of the hessian
 int popbased=0;  
     Also a better criteria for convergence to the period prevalence And
 int *wav; /* Number of waves for this individuual 0 is possible */    therefore adding the number of years needed to converge. (The
 int maxwav; /* Maxim number of waves */    prevalence in any alive state shold sum to one
 int jmin, jmax; /* min, max spacing between 2 waves */  
 int mle, weightopt;    Revision 1.202  2015/09/22 19:45:16  brouard
 int **mw; /* mw[mi][i] is number of the mi wave for this individual */    Summary: Adding some overall graph on contribution to likelihood. Might change
 int **dh; /* dh[mi][i] is number of steps between mi,mi+1 for this individual */  
 double jmean; /* Mean space between 2 waves */    Revision 1.201  2015/09/15 17:34:58  brouard
 double **oldm, **newm, **savm; /* Working pointers to matrices */    Summary: 0.98r0
 double **oldms, **newms, **savms; /* Fixed working pointers to matrices */  
 FILE *fic,*ficpar, *ficparo,*ficres,  *ficrespl, *ficrespij, *ficrest,*ficresf,*ficrespop;    - Some new graphs like suvival functions
 FILE *ficgp,*ficresprob,*ficpop, *ficresprobcov, *ficresprobcor;    - Some bugs fixed like model=1+age+V2.
 FILE *fichtm; /* Html File */  
 FILE *ficreseij;    Revision 1.200  2015/09/09 16:53:55  brouard
 char filerese[FILENAMELENGTH];    Summary: Big bug thanks to Flavia
 FILE  *ficresvij;  
 char fileresv[FILENAMELENGTH];    Even model=1+age+V2. did not work anymore
 FILE  *ficresvpl;  
 char fileresvpl[FILENAMELENGTH];    Revision 1.199  2015/09/07 14:09:23  brouard
 char title[MAXLINE];    Summary: 0.98q6 changing default small png format for graph to vectorized svg.
 char optionfile[FILENAMELENGTH], datafile[FILENAMELENGTH],  filerespl[FILENAMELENGTH];  
 char optionfilext[10], optionfilefiname[FILENAMELENGTH], plotcmd[FILENAMELENGTH];    Revision 1.198  2015/09/03 07:14:39  brouard
     Summary: 0.98q5 Flavia
 char fileres[FILENAMELENGTH], filerespij[FILENAMELENGTH], filereso[FILENAMELENGTH], rfileres[FILENAMELENGTH];  
     Revision 1.197  2015/09/01 18:24:39  brouard
 char filerest[FILENAMELENGTH];    *** empty log message ***
 char fileregp[FILENAMELENGTH];  
 char popfile[FILENAMELENGTH];    Revision 1.196  2015/08/18 23:17:52  brouard
     Summary: 0.98q5
 char optionfilegnuplot[FILENAMELENGTH], optionfilehtm[FILENAMELENGTH];  
     Revision 1.195  2015/08/18 16:28:39  brouard
 #define NR_END 1    Summary: Adding a hack for testing purpose
 #define FREE_ARG char*  
 #define FTOL 1.0e-10    After reading the title, ftol and model lines, if the comment line has
     a q, starting with #q, the answer at the end of the run is quit. It
 #define NRANSI    permits to run test files in batch with ctest. The former workaround was
 #define ITMAX 200    $ echo q | imach foo.imach
   
 #define TOL 2.0e-4    Revision 1.194  2015/08/18 13:32:00  brouard
     Summary:  Adding error when the covariance matrix doesn't contain the exact number of lines required by the model line.
 #define CGOLD 0.3819660  
 #define ZEPS 1.0e-10    Revision 1.193  2015/08/04 07:17:42  brouard
 #define SHFT(a,b,c,d) (a)=(b);(b)=(c);(c)=(d);    Summary: 0.98q4
   
 #define GOLD 1.618034    Revision 1.192  2015/07/16 16:49:02  brouard
 #define GLIMIT 100.0    Summary: Fixing some outputs
 #define TINY 1.0e-20  
     Revision 1.191  2015/07/14 10:00:33  brouard
 static double maxarg1,maxarg2;    Summary: Some fixes
 #define FMAX(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)>(maxarg2)? (maxarg1):(maxarg2))  
 #define FMIN(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)<(maxarg2)? (maxarg1):(maxarg2))    Revision 1.190  2015/05/05 08:51:13  brouard
      Summary: Adding digits in output parameters (7 digits instead of 6)
 #define SIGN(a,b) ((b)>0.0 ? fabs(a) : -fabs(a))  
 #define rint(a) floor(a+0.5)    Fix 1+age+.
   
 static double sqrarg;    Revision 1.189  2015/04/30 14:45:16  brouard
 #define SQR(a) ((sqrarg=(a)) == 0.0 ? 0.0 :sqrarg*sqrarg)    Summary: 0.98q2
 #define SWAP(a,b) {temp=(a);(a)=(b);(b)=temp;}  
     Revision 1.188  2015/04/30 08:27:53  brouard
 int imx;    *** empty log message ***
 int stepm;  
 /* Stepm, step in month: minimum step interpolation*/    Revision 1.187  2015/04/29 09:11:15  brouard
     *** empty log message ***
 int estepm;  
 /* Estepm, step in month to interpolate survival function in order to approximate Life Expectancy*/    Revision 1.186  2015/04/23 12:01:52  brouard
     Summary: V1*age is working now, version 0.98q1
 int m,nb;  
 int *num, firstpass=0, lastpass=4,*cod, *ncodemax, *Tage;    Some codes had been disabled in order to simplify and Vn*age was
 double **agev,*moisnais, *annais, *moisdc, *andc,**mint, **anint;    working in the optimization phase, ie, giving correct MLE parameters,
 double **pmmij, ***probs, ***mobaverage;    but, as usual, outputs were not correct and program core dumped.
 double dateintmean=0;  
     Revision 1.185  2015/03/11 13:26:42  brouard
 double *weight;    Summary: Inclusion of compile and links command line for Intel Compiler
 int **s; /* Status */  
 double *agedc, **covar, idx;    Revision 1.184  2015/03/11 11:52:39  brouard
 int **nbcode, *Tcode, *Tvar, **codtab, **Tvard, *Tprod, cptcovprod, *Tvaraff;    Summary: Back from Windows 8. Intel Compiler
   
 double ftol=FTOL; /* Tolerance for computing Max Likelihood */    Revision 1.183  2015/03/10 20:34:32  brouard
 double ftolhess; /* Tolerance for computing hessian */    Summary: 0.98q0, trying with directest, mnbrak fixed
   
 /**************** split *************************/    We use directest instead of original Powell test; probably no
 static  int split( char *path, char *dirc, char *name, char *ext, char *finame )    incidence on the results, but better justifications;
 {    We fixed Numerical Recipes mnbrak routine which was wrong and gave
    char *s;                             /* pointer */    wrong results.
    int  l1, l2;                         /* length counters */  
     Revision 1.182  2015/02/12 08:19:57  brouard
    l1 = strlen( path );                 /* length of path */    Summary: Trying to keep directest which seems simpler and more general
    if ( l1 == 0 ) return( GLOCK_ERROR_NOPATH );    Author: Nicolas Brouard
    s = strrchr( path,  DIRSEPARATOR );          /* find last / */  
    if ( s == NULL ) {                   /* no directory, so use current */    Revision 1.181  2015/02/11 23:22:24  brouard
 #if     defined(__bsd__)                /* get current working directory */    Summary: Comments on Powell added
       extern char       *getwd( );  
     Author:
       if ( getwd( dirc ) == NULL ) {  
 #else    Revision 1.180  2015/02/11 17:33:45  brouard
       extern char       *getcwd( );    Summary: Finishing move from main to function (hpijx and prevalence_limit)
   
       if ( getcwd( dirc, FILENAME_MAX ) == NULL ) {    Revision 1.179  2015/01/04 09:57:06  brouard
 #endif    Summary: back to OS/X
          return( GLOCK_ERROR_GETCWD );  
       }    Revision 1.178  2015/01/04 09:35:48  brouard
       strcpy( name, path );             /* we've got it */    *** empty log message ***
    } else {                             /* strip direcotry from path */  
       s++;                              /* after this, the filename */    Revision 1.177  2015/01/03 18:40:56  brouard
       l2 = strlen( s );                 /* length of filename */    Summary: Still testing ilc32 on OSX
       if ( l2 == 0 ) return( GLOCK_ERROR_NOPATH );  
       strcpy( name, s );                /* save file name */    Revision 1.176  2015/01/03 16:45:04  brouard
       strncpy( dirc, path, l1 - l2 );   /* now the directory */    *** empty log message ***
       dirc[l1-l2] = 0;                  /* add zero */  
    }    Revision 1.175  2015/01/03 16:33:42  brouard
    l1 = strlen( dirc );                 /* length of directory */    *** empty log message ***
 #ifdef windows  
    if ( dirc[l1-1] != '\\' ) { dirc[l1] = '\\'; dirc[l1+1] = 0; }    Revision 1.174  2015/01/03 16:15:49  brouard
 #else    Summary: Still in cross-compilation
    if ( dirc[l1-1] != '/' ) { dirc[l1] = '/'; dirc[l1+1] = 0; }  
 #endif    Revision 1.173  2015/01/03 12:06:26  brouard
    s = strrchr( name, '.' );            /* find last / */    Summary: trying to detect cross-compilation
    s++;  
    strcpy(ext,s);                       /* save extension */    Revision 1.172  2014/12/27 12:07:47  brouard
    l1= strlen( name);    Summary: Back from Visual Studio and Intel, options for compiling for Windows XP
    l2= strlen( s)+1;  
    strncpy( finame, name, l1-l2);    Revision 1.171  2014/12/23 13:26:59  brouard
    finame[l1-l2]= 0;    Summary: Back from Visual C
    return( 0 );                         /* we're done */  
 }    Still problem with utsname.h on Windows
   
     Revision 1.170  2014/12/23 11:17:12  brouard
 /******************************************/    Summary: Cleaning some \%% back to %%
   
 void replace(char *s, char*t)    The escape was mandatory for a specific compiler (which one?), but too many warnings.
 {  
   int i;    Revision 1.169  2014/12/22 23:08:31  brouard
   int lg=20;    Summary: 0.98p
   i=0;  
   lg=strlen(t);    Outputs some informations on compiler used, OS etc. Testing on different platforms.
   for(i=0; i<= lg; i++) {  
     (s[i] = t[i]);    Revision 1.168  2014/12/22 15:17:42  brouard
     if (t[i]== '\\') s[i]='/';    Summary: update
   }  
 }    Revision 1.167  2014/12/22 13:50:56  brouard
     Summary: Testing uname and compiler version and if compiled 32 or 64
 int nbocc(char *s, char occ)  
 {    Testing on Linux 64
   int i,j=0;  
   int lg=20;    Revision 1.166  2014/12/22 11:40:47  brouard
   i=0;    *** empty log message ***
   lg=strlen(s);  
   for(i=0; i<= lg; i++) {    Revision 1.165  2014/12/16 11:20:36  brouard
   if  (s[i] == occ ) j++;    Summary: After compiling on Visual C
   }  
   return j;    * imach.c (Module): Merging 1.61 to 1.162
 }  
     Revision 1.164  2014/12/16 10:52:11  brouard
 void cutv(char *u,char *v, char*t, char occ)    Summary: Merging with Visual C after suppressing some warnings for unused variables. Also fixing Saito's bug 0.98Xn
 {  
   int i,lg,j,p=0;    * imach.c (Module): Merging 1.61 to 1.162
   i=0;  
   for(j=0; j<=strlen(t)-1; j++) {    Revision 1.163  2014/12/16 10:30:11  brouard
     if((t[j]!= occ) && (t[j+1]== occ)) p=j+1;    * imach.c (Module): Merging 1.61 to 1.162
   }  
     Revision 1.162  2014/09/25 11:43:39  brouard
   lg=strlen(t);    Summary: temporary backup 0.99!
   for(j=0; j<p; j++) {  
     (u[j] = t[j]);    Revision 1.1  2014/09/16 11:06:58  brouard
   }    Summary: With some code (wrong) for nlopt
      u[p]='\0';  
     Author:
    for(j=0; j<= lg; j++) {  
     if (j>=(p+1))(v[j-p-1] = t[j]);    Revision 1.161  2014/09/15 20:41:41  brouard
   }    Summary: Problem with macro SQR on Intel compiler
 }  
     Revision 1.160  2014/09/02 09:24:05  brouard
 /********************** nrerror ********************/    *** empty log message ***
   
 void nrerror(char error_text[])    Revision 1.159  2014/09/01 10:34:10  brouard
 {    Summary: WIN32
   fprintf(stderr,"ERREUR ...\n");    Author: Brouard
   fprintf(stderr,"%s\n",error_text);  
   exit(1);    Revision 1.158  2014/08/27 17:11:51  brouard
 }    *** empty log message ***
 /*********************** vector *******************/  
 double *vector(int nl, int nh)    Revision 1.157  2014/08/27 16:26:55  brouard
 {    Summary: Preparing windows Visual studio version
   double *v;    Author: Brouard
   v=(double *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(double)));  
   if (!v) nrerror("allocation failure in vector");    In order to compile on Visual studio, time.h is now correct and time_t
   return v-nl+NR_END;    and tm struct should be used. difftime should be used but sometimes I
 }    just make the differences in raw time format (time(&now).
     Trying to suppress #ifdef LINUX
 /************************ free vector ******************/    Add xdg-open for __linux in order to open default browser.
 void free_vector(double*v, int nl, int nh)  
 {    Revision 1.156  2014/08/25 20:10:10  brouard
   free((FREE_ARG)(v+nl-NR_END));    *** empty log message ***
 }  
     Revision 1.155  2014/08/25 18:32:34  brouard
 /************************ivector *******************************/    Summary: New compile, minor changes
 int *ivector(long nl,long nh)    Author: Brouard
 {  
   int *v;    Revision 1.154  2014/06/20 17:32:08  brouard
   v=(int *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(int)));    Summary: Outputs now all graphs of convergence to period prevalence
   if (!v) nrerror("allocation failure in ivector");  
   return v-nl+NR_END;    Revision 1.153  2014/06/20 16:45:46  brouard
 }    Summary: If 3 live state, convergence to period prevalence on same graph
     Author: Brouard
 /******************free ivector **************************/  
 void free_ivector(int *v, long nl, long nh)    Revision 1.152  2014/06/18 17:54:09  brouard
 {    Summary: open browser, use gnuplot on same dir than imach if not found in the path
   free((FREE_ARG)(v+nl-NR_END));  
 }    Revision 1.151  2014/06/18 16:43:30  brouard
     *** empty log message ***
 /******************* imatrix *******************************/  
 int **imatrix(long nrl, long nrh, long ncl, long nch)    Revision 1.150  2014/06/18 16:42:35  brouard
      /* allocate a int matrix with subscript range m[nrl..nrh][ncl..nch] */    Summary: If gnuplot is not in the path try on same directory than imach binary (OSX)
 {    Author: brouard
   long i, nrow=nrh-nrl+1,ncol=nch-ncl+1;  
   int **m;    Revision 1.149  2014/06/18 15:51:14  brouard
      Summary: Some fixes in parameter files errors
   /* allocate pointers to rows */    Author: Nicolas Brouard
   m=(int **) malloc((size_t)((nrow+NR_END)*sizeof(int*)));  
   if (!m) nrerror("allocation failure 1 in matrix()");    Revision 1.148  2014/06/17 17:38:48  brouard
   m += NR_END;    Summary: Nothing new
   m -= nrl;    Author: Brouard
    
      Just a new packaging for OS/X version 0.98nS
   /* allocate rows and set pointers to them */  
   m[nrl]=(int *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(int)));    Revision 1.147  2014/06/16 10:33:11  brouard
   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");    *** empty log message ***
   m[nrl] += NR_END;  
   m[nrl] -= ncl;    Revision 1.146  2014/06/16 10:20:28  brouard
      Summary: Merge
   for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol;    Author: Brouard
    
   /* return pointer to array of pointers to rows */    Merge, before building revised version.
   return m;  
 }    Revision 1.145  2014/06/10 21:23:15  brouard
     Summary: Debugging with valgrind
 /****************** free_imatrix *************************/    Author: Nicolas Brouard
 void free_imatrix(m,nrl,nrh,ncl,nch)  
       int **m;    Lot of changes in order to output the results with some covariates
       long nch,ncl,nrh,nrl;    After the Edimburgh REVES conference 2014, it seems mandatory to
      /* free an int matrix allocated by imatrix() */    improve the code.
 {    No more memory valgrind error but a lot has to be done in order to
   free((FREE_ARG) (m[nrl]+ncl-NR_END));    continue the work of splitting the code into subroutines.
   free((FREE_ARG) (m+nrl-NR_END));    Also, decodemodel has been improved. Tricode is still not
 }    optimal. nbcode should be improved. Documentation has been added in
     the source code.
 /******************* matrix *******************************/  
 double **matrix(long nrl, long nrh, long ncl, long nch)    Revision 1.143  2014/01/26 09:45:38  brouard
 {    Summary: Version 0.98nR (to be improved, but gives same optimization results as 0.98k. Nice, promising
   long i, nrow=nrh-nrl+1, ncol=nch-ncl+1;  
   double **m;    * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
     (Module): Version 0.98nR Running ok, but output format still only works for three covariates.
   m=(double **) malloc((size_t)((nrow+NR_END)*sizeof(double*)));  
   if (!m) nrerror("allocation failure 1 in matrix()");    Revision 1.142  2014/01/26 03:57:36  brouard
   m += NR_END;    Summary: gnuplot changed plot w l 1 has to be changed to plot w l lt 2
   m -= nrl;  
     * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
   m[nrl]=(double *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));  
   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");    Revision 1.141  2014/01/26 02:42:01  brouard
   m[nrl] += NR_END;    * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
   m[nrl] -= ncl;  
     Revision 1.140  2011/09/02 10:37:54  brouard
   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;    Summary: times.h is ok with mingw32 now.
   return m;  
 }    Revision 1.139  2010/06/14 07:50:17  brouard
     After the theft of my laptop, I probably lost some lines of codes which were not uploaded to the CVS tree.
 /*************************free matrix ************************/    I remember having already fixed agemin agemax which are pointers now but not cvs saved.
 void free_matrix(double **m, long nrl, long nrh, long ncl, long nch)  
 {    Revision 1.138  2010/04/30 18:19:40  brouard
   free((FREE_ARG)(m[nrl]+ncl-NR_END));    *** empty log message ***
   free((FREE_ARG)(m+nrl-NR_END));  
 }    Revision 1.137  2010/04/29 18:11:38  brouard
     (Module): Checking covariates for more complex models
 /******************* ma3x *******************************/    than V1+V2. A lot of change to be done. Unstable.
 double ***ma3x(long nrl, long nrh, long ncl, long nch, long nll, long nlh)  
 {    Revision 1.136  2010/04/26 20:30:53  brouard
   long i, j, nrow=nrh-nrl+1, ncol=nch-ncl+1, nlay=nlh-nll+1;    (Module): merging some libgsl code. Fixing computation
   double ***m;    of likelione (using inter/intrapolation if mle = 0) in order to
     get same likelihood as if mle=1.
   m=(double ***) malloc((size_t)((nrow+NR_END)*sizeof(double*)));    Some cleaning of code and comments added.
   if (!m) nrerror("allocation failure 1 in matrix()");  
   m += NR_END;    Revision 1.135  2009/10/29 15:33:14  brouard
   m -= nrl;    (Module): Now imach stops if date of birth, at least year of birth, is not given. Some cleaning of the code.
   
   m[nrl]=(double **) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));    Revision 1.134  2009/10/29 13:18:53  brouard
   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");    (Module): Now imach stops if date of birth, at least year of birth, is not given. Some cleaning of the code.
   m[nrl] += NR_END;  
   m[nrl] -= ncl;    Revision 1.133  2009/07/06 10:21:25  brouard
     just nforces
   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;  
     Revision 1.132  2009/07/06 08:22:05  brouard
   m[nrl][ncl]=(double *) malloc((size_t)((nrow*ncol*nlay+NR_END)*sizeof(double)));    Many tings
   if (!m[nrl][ncl]) nrerror("allocation failure 3 in matrix()");  
   m[nrl][ncl] += NR_END;    Revision 1.131  2009/06/20 16:22:47  brouard
   m[nrl][ncl] -= nll;    Some dimensions resccaled
   for (j=ncl+1; j<=nch; j++)  
     m[nrl][j]=m[nrl][j-1]+nlay;    Revision 1.130  2009/05/26 06:44:34  brouard
      (Module): Max Covariate is now set to 20 instead of 8. A
   for (i=nrl+1; i<=nrh; i++) {    lot of cleaning with variables initialized to 0. Trying to make
     m[i][ncl]=m[i-1l][ncl]+ncol*nlay;    V2+V3*age+V1+V4 strb=V3*age+V1+V4 working better.
     for (j=ncl+1; j<=nch; j++)  
       m[i][j]=m[i][j-1]+nlay;    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
   return m;  
 }    Revision 1.128  2006/06/30 13:02:05  brouard
     (Module): Clarifications on computing e.j
 /*************************free ma3x ************************/  
 void free_ma3x(double ***m, long nrl, long nrh, long ncl, long nch,long nll, long nlh)    Revision 1.127  2006/04/28 18:11:50  brouard
 {    (Module): Yes the sum of survivors was wrong since
   free((FREE_ARG)(m[nrl][ncl]+ nll-NR_END));    imach-114 because nhstepm was no more computed in the age
   free((FREE_ARG)(m[nrl]+ncl-NR_END));    loop. Now we define nhstepma in the age loop.
   free((FREE_ARG)(m+nrl-NR_END));    (Module): In order to speed up (in case of numerous covariates) we
 }    compute health expectancies (without variances) in a first step
     and then all the health expectancies with variances or standard
 /***************** f1dim *************************/    deviation (needs data from the Hessian matrices) which slows the
 extern int ncom;    computation.
 extern double *pcom,*xicom;    In the future we should be able to stop the program is only health
 extern double (*nrfunc)(double []);    expectancies and graph are needed without standard deviations.
    
 double f1dim(double x)    Revision 1.126  2006/04/28 17:23:28  brouard
 {    (Module): Yes the sum of survivors was wrong since
   int j;    imach-114 because nhstepm was no more computed in the age
   double f;    loop. Now we define nhstepma in the age loop.
   double *xt;    Version 0.98h
    
   xt=vector(1,ncom);    Revision 1.125  2006/04/04 15:20:31  lievre
   for (j=1;j<=ncom;j++) xt[j]=pcom[j]+x*xicom[j];    Errors in calculation of health expectancies. Age was not initialized.
   f=(*nrfunc)(xt);    Forecasting file added.
   free_vector(xt,1,ncom);  
   return f;    Revision 1.124  2006/03/22 17:13:53  lievre
 }    Parameters are printed with %lf instead of %f (more numbers after the comma).
     The log-likelihood is printed in the log file
 /*****************brent *************************/  
 double brent(double ax, double bx, double cx, double (*f)(double), double tol,  double *xmin)    Revision 1.123  2006/03/20 10:52:43  brouard
 {    * imach.c (Module): <title> changed, corresponds to .htm file
   int iter;    name. <head> headers where missing.
   double a,b,d,etemp;  
   double fu,fv,fw,fx;    * imach.c (Module): Weights can have a decimal point as for
   double ftemp;    English (a comma might work with a correct LC_NUMERIC environment,
   double p,q,r,tol1,tol2,u,v,w,x,xm;    otherwise the weight is truncated).
   double e=0.0;    Modification of warning when the covariates values are not 0 or
      1.
   a=(ax < cx ? ax : cx);    Version 0.98g
   b=(ax > cx ? ax : cx);  
   x=w=v=bx;    Revision 1.122  2006/03/20 09:45:41  brouard
   fw=fv=fx=(*f)(x);    (Module): Weights can have a decimal point as for
   for (iter=1;iter<=ITMAX;iter++) {    English (a comma might work with a correct LC_NUMERIC environment,
     xm=0.5*(a+b);    otherwise the weight is truncated).
     tol2=2.0*(tol1=tol*fabs(x)+ZEPS);    Modification of warning when the covariates values are not 0 or
     /*          if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret)))*/    1.
     printf(".");fflush(stdout);    Version 0.98g
 #ifdef DEBUG  
     printf("br %d,x=%.10e xm=%.10e b=%.10e a=%.10e tol=%.10e tol1=%.10e tol2=%.10e x-xm=%.10e fx=%.12e fu=%.12e,fw=%.12e,ftemp=%.12e,ftol=%.12e\n",iter,x,xm,b,a,tol,tol1,tol2,(x-xm),fx,fu,fw,ftemp,ftol);    Revision 1.121  2006/03/16 17:45:01  lievre
     /*          if ((fabs(x-xm) <= (tol2-0.5*(b-a)))||(2.0*fabs(fu-ftemp) <= ftol*1.e-2*(fabs(fu)+fabs(ftemp)))) { */    * imach.c (Module): Comments concerning covariates added
 #endif  
     if (fabs(x-xm) <= (tol2-0.5*(b-a))){    * imach.c (Module): refinements in the computation of lli if
       *xmin=x;    status=-2 in order to have more reliable computation if stepm is
       return fx;    not 1 month. Version 0.98f
     }  
     ftemp=fu;    Revision 1.120  2006/03/16 15:10:38  lievre
     if (fabs(e) > tol1) {    (Module): refinements in the computation of lli if
       r=(x-w)*(fx-fv);    status=-2 in order to have more reliable computation if stepm is
       q=(x-v)*(fx-fw);    not 1 month. Version 0.98f
       p=(x-v)*q-(x-w)*r;  
       q=2.0*(q-r);    Revision 1.119  2006/03/15 17:42:26  brouard
       if (q > 0.0) p = -p;    (Module): Bug if status = -2, the loglikelihood was
       q=fabs(q);    computed as likelihood omitting the logarithm. Version O.98e
       etemp=e;  
       e=d;    Revision 1.118  2006/03/14 18:20:07  brouard
       if (fabs(p) >= fabs(0.5*q*etemp) || p <= q*(a-x) || p >= q*(b-x))    (Module): varevsij Comments added explaining the second
         d=CGOLD*(e=(x >= xm ? a-x : b-x));    table of variances if popbased=1 .
       else {    (Module): Covariances of eij, ekl added, graphs fixed, new html link.
         d=p/q;    (Module): Function pstamp added
         u=x+d;    (Module): Version 0.98d
         if (u-a < tol2 || b-u < tol2)  
           d=SIGN(tol1,xm-x);    Revision 1.117  2006/03/14 17:16:22  brouard
       }    (Module): varevsij Comments added explaining the second
     } else {    table of variances if popbased=1 .
       d=CGOLD*(e=(x >= xm ? a-x : b-x));    (Module): Covariances of eij, ekl added, graphs fixed, new html link.
     }    (Module): Function pstamp added
     u=(fabs(d) >= tol1 ? x+d : x+SIGN(tol1,d));    (Module): Version 0.98d
     fu=(*f)(u);  
     if (fu <= fx) {    Revision 1.116  2006/03/06 10:29:27  brouard
       if (u >= x) a=x; else b=x;    (Module): Variance-covariance wrong links and
       SHFT(v,w,x,u)    varian-covariance of ej. is needed (Saito).
         SHFT(fv,fw,fx,fu)  
         } else {    Revision 1.115  2006/02/27 12:17:45  brouard
           if (u < x) a=u; else b=u;    (Module): One freematrix added in mlikeli! 0.98c
           if (fu <= fw || w == x) {  
             v=w;    Revision 1.114  2006/02/26 12:57:58  brouard
             w=u;    (Module): Some improvements in processing parameter
             fv=fw;    filename with strsep.
             fw=fu;  
           } else if (fu <= fv || v == x || v == w) {    Revision 1.113  2006/02/24 14:20:24  brouard
             v=u;    (Module): Memory leaks checks with valgrind and:
             fv=fu;    datafile was not closed, some imatrix were not freed and on matrix
           }    allocation too.
         }  
   }    Revision 1.112  2006/01/30 09:55:26  brouard
   nrerror("Too many iterations in brent");    (Module): Back to gnuplot.exe instead of wgnuplot.exe
   *xmin=x;  
   return fx;    Revision 1.111  2006/01/25 20:38:18  brouard
 }    (Module): Lots of cleaning and bugs added (Gompertz)
     (Module): Comments can be added in data file. Missing date values
 /****************** mnbrak ***********************/    can be a simple dot '.'.
   
 void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, double *fc,    Revision 1.110  2006/01/25 00:51:50  brouard
             double (*func)(double))    (Module): Lots of cleaning and bugs added (Gompertz)
 {  
   double ulim,u,r,q, dum;    Revision 1.109  2006/01/24 19:37:15  brouard
   double fu;    (Module): Comments (lines starting with a #) are allowed in data.
    
   *fa=(*func)(*ax);    Revision 1.108  2006/01/19 18:05:42  lievre
   *fb=(*func)(*bx);    Gnuplot problem appeared...
   if (*fb > *fa) {    To be fixed
     SHFT(dum,*ax,*bx,dum)  
       SHFT(dum,*fb,*fa,dum)    Revision 1.107  2006/01/19 16:20:37  brouard
       }    Test existence of gnuplot in imach path
   *cx=(*bx)+GOLD*(*bx-*ax);  
   *fc=(*func)(*cx);    Revision 1.106  2006/01/19 13:24:36  brouard
   while (*fb > *fc) {    Some cleaning and links added in html output
     r=(*bx-*ax)*(*fb-*fc);  
     q=(*bx-*cx)*(*fb-*fa);    Revision 1.105  2006/01/05 20:23:19  lievre
     u=(*bx)-((*bx-*cx)*q-(*bx-*ax)*r)/    *** empty log message ***
       (2.0*SIGN(FMAX(fabs(q-r),TINY),q-r));  
     ulim=(*bx)+GLIMIT*(*cx-*bx);    Revision 1.104  2005/09/30 16:11:43  lievre
     if ((*bx-u)*(u-*cx) > 0.0) {    (Module): sump fixed, loop imx fixed, and simplifications.
       fu=(*func)(u);    (Module): If the status is missing at the last wave but we know
     } else if ((*cx-u)*(u-ulim) > 0.0) {    that the person is alive, then we can code his/her status as -2
       fu=(*func)(u);    (instead of missing=-1 in earlier versions) and his/her
       if (fu < *fc) {    contributions to the likelihood is 1 - Prob of dying from last
         SHFT(*bx,*cx,u,*cx+GOLD*(*cx-*bx))    health status (= 1-p13= p11+p12 in the easiest case of somebody in
           SHFT(*fb,*fc,fu,(*func)(u))    the healthy state at last known wave). Version is 0.98
           }  
     } else if ((u-ulim)*(ulim-*cx) >= 0.0) {    Revision 1.103  2005/09/30 15:54:49  lievre
       u=ulim;    (Module): sump fixed, loop imx fixed, and simplifications.
       fu=(*func)(u);  
     } else {    Revision 1.102  2004/09/15 17:31:30  brouard
       u=(*cx)+GOLD*(*cx-*bx);    Add the possibility to read data file including tab characters.
       fu=(*func)(u);  
     }    Revision 1.101  2004/09/15 10:38:38  brouard
     SHFT(*ax,*bx,*cx,u)    Fix on curr_time
       SHFT(*fa,*fb,*fc,fu)  
       }    Revision 1.100  2004/07/12 18:29:06  brouard
 }    Add version for Mac OS X. Just define UNIX in Makefile
   
 /*************** linmin ************************/    Revision 1.99  2004/06/05 08:57:40  brouard
     *** empty log message ***
 int ncom;  
 double *pcom,*xicom;    Revision 1.98  2004/05/16 15:05:56  brouard
 double (*nrfunc)(double []);    New version 0.97 . First attempt to estimate force of mortality
      directly from the data i.e. without the need of knowing the health
 void linmin(double p[], double xi[], int n, double *fret,double (*func)(double []))    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
   double brent(double ax, double bx, double cx,    other analysis, in order to test if the mortality estimated from the
                double (*f)(double), double tol, double *xmin);    cross-longitudinal survey is different from the mortality estimated
   double f1dim(double x);    from other sources like vital statistic data.
   void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb,  
               double *fc, double (*func)(double));    The same imach parameter file can be used but the option for mle should be -3.
   int j;  
   double xx,xmin,bx,ax;    Agnès, who wrote this part of the code, tried to keep most of the
   double fx,fb,fa;    former routines in order to include the new code within the former code.
    
   ncom=n;    The output is very simple: only an estimate of the intercept and of
   pcom=vector(1,n);    the slope with 95% confident intervals.
   xicom=vector(1,n);  
   nrfunc=func;    Current limitations:
   for (j=1;j<=n;j++) {    A) Even if you enter covariates, i.e. with the
     pcom[j]=p[j];    model= V1+V2 equation for example, the programm does only estimate a unique global model without covariates.
     xicom[j]=xi[j];    B) There is no computation of Life Expectancy nor Life Table.
   }  
   ax=0.0;    Revision 1.97  2004/02/20 13:25:42  lievre
   xx=1.0;    Version 0.96d. Population forecasting command line is (temporarily)
   mnbrak(&ax,&xx,&bx,&fa,&fx,&fb,f1dim);    suppressed.
   *fret=brent(ax,xx,bx,f1dim,TOL,&xmin);  
 #ifdef DEBUG    Revision 1.96  2003/07/15 15:38:55  brouard
   printf("retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);    * imach.c (Repository): Errors in subdirf, 2, 3 while printing tmpout is
 #endif    rewritten within the same printf. Workaround: many printfs.
   for (j=1;j<=n;j++) {  
     xi[j] *= xmin;    Revision 1.95  2003/07/08 07:54:34  brouard
     p[j] += xi[j];    * imach.c (Repository):
   }    (Repository): Using imachwizard code to output a more meaningful covariance
   free_vector(xicom,1,n);    matrix (cov(a12,c31) instead of numbers.
   free_vector(pcom,1,n);  
 }    Revision 1.94  2003/06/27 13:00:02  brouard
     Just cleaning
 /*************** powell ************************/  
 void powell(double p[], double **xi, int n, double ftol, int *iter, double *fret,    Revision 1.93  2003/06/25 16:33:55  brouard
             double (*func)(double []))    (Module): On windows (cygwin) function asctime_r doesn't
 {    exist so I changed back to asctime which exists.
   void linmin(double p[], double xi[], int n, double *fret,    (Module): Version 0.96b
               double (*func)(double []));  
   int i,ibig,j;    Revision 1.92  2003/06/25 16:30:45  brouard
   double del,t,*pt,*ptt,*xit;    (Module): On windows (cygwin) function asctime_r doesn't
   double fp,fptt;    exist so I changed back to asctime which exists.
   double *xits;  
   pt=vector(1,n);    Revision 1.91  2003/06/25 15:30:29  brouard
   ptt=vector(1,n);    * imach.c (Repository): Duplicated warning errors corrected.
   xit=vector(1,n);    (Repository): Elapsed time after each iteration is now output. It
   xits=vector(1,n);    helps to forecast when convergence will be reached. Elapsed time
   *fret=(*func)(p);    is stamped in powell.  We created a new html file for the graphs
   for (j=1;j<=n;j++) pt[j]=p[j];    concerning matrix of covariance. It has extension -cov.htm.
   for (*iter=1;;++(*iter)) {  
     fp=(*fret);    Revision 1.90  2003/06/24 12:34:15  brouard
     ibig=0;    (Module): Some bugs corrected for windows. Also, when
     del=0.0;    mle=-1 a template is output in file "or"mypar.txt with the design
     printf("\nPowell iter=%d -2*LL=%.12f",*iter,*fret);    of the covariance matrix to be input.
     for (i=1;i<=n;i++)  
       printf(" %d %.12f",i, p[i]);    Revision 1.89  2003/06/24 12:30:52  brouard
     printf("\n");    (Module): Some bugs corrected for windows. Also, when
     for (i=1;i<=n;i++) {    mle=-1 a template is output in file "or"mypar.txt with the design
       for (j=1;j<=n;j++) xit[j]=xi[j][i];    of the covariance matrix to be input.
       fptt=(*fret);  
 #ifdef DEBUG    Revision 1.88  2003/06/23 17:54:56  brouard
       printf("fret=%lf \n",*fret);    * 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.
 #endif  
       printf("%d",i);fflush(stdout);    Revision 1.87  2003/06/18 12:26:01  brouard
       linmin(p,xit,n,fret,func);    Version 0.96
       if (fabs(fptt-(*fret)) > del) {  
         del=fabs(fptt-(*fret));    Revision 1.86  2003/06/17 20:04:08  brouard
         ibig=i;    (Module): Change position of html and gnuplot routines and added
       }    routine fileappend.
 #ifdef DEBUG  
       printf("%d %.12e",i,(*fret));    Revision 1.85  2003/06/17 13:12:43  brouard
       for (j=1;j<=n;j++) {    * imach.c (Repository): Check when date of death was earlier that
         xits[j]=FMAX(fabs(p[j]-pt[j]),1.e-5);    current date of interview. It may happen when the death was just
         printf(" x(%d)=%.12e",j,xit[j]);    prior to the death. In this case, dh was negative and likelihood
       }    was wrong (infinity). We still send an "Error" but patch by
       for(j=1;j<=n;j++)    assuming that the date of death was just one stepm after the
         printf(" p=%.12e",p[j]);    interview.
       printf("\n");    (Repository): Because some people have very long ID (first column)
 #endif    we changed int to long in num[] and we added a new lvector for
     }    memory allocation. But we also truncated to 8 characters (left
     if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret))) {    truncation)
 #ifdef DEBUG    (Repository): No more line truncation errors.
       int k[2],l;  
       k[0]=1;    Revision 1.84  2003/06/13 21:44:43  brouard
       k[1]=-1;    * imach.c (Repository): Replace "freqsummary" at a correct
       printf("Max: %.12e",(*func)(p));    place. It differs from routine "prevalence" which may be called
       for (j=1;j<=n;j++)    many times. Probs is memory consuming and must be used with
         printf(" %.12e",p[j]);    parcimony.
       printf("\n");    Version 0.95a3 (should output exactly the same maximization than 0.8a2)
       for(l=0;l<=1;l++) {  
         for (j=1;j<=n;j++) {    Revision 1.83  2003/06/10 13:39:11  lievre
           ptt[j]=p[j]+(p[j]-pt[j])*k[l];    *** empty log message ***
           printf("l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);  
         }    Revision 1.82  2003/06/05 15:57:20  brouard
         printf("func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));    Add log in  imach.c and  fullversion number is now printed.
       }  
 #endif  */
   /*
      Interpolated Markov Chain
       free_vector(xit,1,n);  
       free_vector(xits,1,n);    Short summary of the programme:
       free_vector(ptt,1,n);    
       free_vector(pt,1,n);    This program computes Healthy Life Expectancies or State-specific
       return;    (if states aren't health statuses) Expectancies from
     }    cross-longitudinal data. Cross-longitudinal data consist in: 
     if (*iter == ITMAX) nrerror("powell exceeding maximum iterations.");  
     for (j=1;j<=n;j++) {    -1- a first survey ("cross") where individuals from different ages
       ptt[j]=2.0*p[j]-pt[j];    are interviewed on their health status or degree of disability (in
       xit[j]=p[j]-pt[j];    the case of a health survey which is our main interest)
       pt[j]=p[j];  
     }    -2- at least a second wave of interviews ("longitudinal") which
     fptt=(*func)(ptt);    measure each change (if any) in individual health status.  Health
     if (fptt < fp) {    expectancies are computed from the time spent in each health state
       t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)-del*SQR(fp-fptt);    according to a model. More health states you consider, more time is
       if (t < 0.0) {    necessary to reach the Maximum Likelihood of the parameters involved
         linmin(p,xit,n,fret,func);    in the model.  The simplest model is the multinomial logistic model
         for (j=1;j<=n;j++) {    where pij is the probability to be observed in state j at the second
           xi[j][ibig]=xi[j][n];    wave conditional to be observed in state i at the first
           xi[j][n]=xit[j];    wave. Therefore the model is: log(pij/pii)= aij + bij*age+ cij*sex +
         }    etc , where 'age' is age and 'sex' is a covariate. If you want to
 #ifdef DEBUG    have a more complex model than "constant and age", you should modify
         printf("Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);    the program where the markup *Covariates have to be included here
         for(j=1;j<=n;j++)    again* invites you to do it.  More covariates you add, slower the
           printf(" %.12e",xit[j]);    convergence.
         printf("\n");  
 #endif    The advantage of this computer programme, compared to a simple
       }    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
 }    account using an interpolation or extrapolation.  
   
 /**** Prevalence limit ****************/    hPijx is the probability to be observed in state i at age x+h
     conditional to the observed state i at age x. The delay 'h' can be
 double **prevalim(double **prlim, int nlstate, double x[], double age, double **oldm, double **savm, double ftolpl, int ij)    split into an exact number (nh*stepm) of unobserved intermediate
 {    states. This elementary transition (by month, quarter,
   /* Computes the prevalence limit in each live state at age x by left multiplying the unit    semester or year) is modelled as a multinomial logistic.  The hPx
      matrix by transitions matrix until convergence is reached */    matrix is simply the matrix product of nh*stepm elementary matrices
     and the contribution of each individual to the likelihood is simply
   int i, ii,j,k;    hPijx.
   double min, max, maxmin, maxmax,sumnew=0.;  
   double **matprod2();    Also this programme outputs the covariance matrix of the parameters but also
   double **out, cov[NCOVMAX], **pmij();    of the life expectancies. It also computes the period (stable) prevalence.
   double **newm;  
   double agefin, delaymax=50 ; /* Max number of years to converge */  Back prevalence and projections:
   
   for (ii=1;ii<=nlstate+ndeath;ii++)   - back_prevalence_limit(double *p, double **bprlim, double ageminpar,
     for (j=1;j<=nlstate+ndeath;j++){     double agemaxpar, double ftolpl, int *ncvyearp, double
       oldm[ii][j]=(ii==j ? 1.0 : 0.0);     dateprev1,double dateprev2, int firstpass, int lastpass, int
     }     mobilavproj)
   
    cov[1]=1.;      Computes the back prevalence limit for any combination of
        covariate values k at any age between ageminpar and agemaxpar and
  /* Even if hstepm = 1, at least one multiplication by the unit matrix */      returns it in **bprlim. In the loops,
   for(agefin=age-stepm/YEARM; agefin>=age-delaymax; agefin=agefin-stepm/YEARM){  
     newm=savm;     - **bprevalim(**bprlim, ***mobaverage, nlstate, *p, age, **oldm,
     /* Covariates have to be included here again */         **savm, **dnewm, **doldm, **dsavm, ftolpl, ncvyearp, k);
      cov[2]=agefin;  
       - hBijx Back Probability to be in state i at age x-h being in j at x
       for (k=1; k<=cptcovn;k++) {     Computes for any combination of covariates k and any age between bage and fage 
         cov[2+k]=nbcode[Tvar[k]][codtab[ij][Tvar[k]]];     p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
         /*      printf("ij=%d k=%d Tvar[k]=%d nbcode=%d cov=%lf codtab[ij][Tvar[k]]=%d \n",ij,k, Tvar[k],nbcode[Tvar[k]][codtab[ij][Tvar[k]]],cov[2+k], codtab[ij][Tvar[k]]);*/                          oldm=oldms;savm=savms;
       }  
       for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2];     - hbxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);
       for (k=1; k<=cptcovprod;k++)       Computes the transition matrix starting at age 'age' over
         cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]]*nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]];       'nhstepm*hstepm*stepm' months (i.e. until
        age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying
       /*printf("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/       nhstepm*hstepm matrices. 
       /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/  
       /*printf("ij=%d cov[3]=%lf \n",ij, cov[3]);*/       Returns p3mat[i][j][h] after calling
     out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm);       p3mat[i][j][h]=matprod2(newm,
        bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent, dnewm, doldm,
     savm=oldm;       dsavm,ij),\ 1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath,
     oldm=newm;       oldm);
     maxmax=0.;  
     for(j=1;j<=nlstate;j++){  Important routines
       min=1.;  
       max=0.;  - func (or funcone), computes logit (pij) distinguishing
       for(i=1; i<=nlstate; i++) {    o fixed variables (single or product dummies or quantitative);
         sumnew=0;    o varying variables by:
         for(k=1; k<=ndeath; k++) sumnew+=newm[i][nlstate+k];     (1) wave (single, product dummies, quantitative), 
         prlim[i][j]= newm[i][j]/(1-sumnew);     (2) by age (can be month) age (done), age*age (done), age*Vn where Vn can be:
         max=FMAX(max,prlim[i][j]);         % fixed dummy (treated) or quantitative (not done because time-consuming);
         min=FMIN(min,prlim[i][j]);         % varying dummy (not done) or quantitative (not done);
       }  - Tricode which tests the modality of dummy variables (in order to warn with wrong or empty modalities)
       maxmin=max-min;    and returns the number of efficient covariates cptcoveff and modalities nbcode[Tvar[k]][1]= 0 and nbcode[Tvar[k]][2]= 1 usually.
       maxmax=FMAX(maxmax,maxmin);  - printinghtml which outputs results like life expectancy in and from a state for a combination of modalities of dummy variables
     }    o There are 2*cptcoveff combinations of (0,1) for cptcoveff variables. Outputting only combinations with people, éliminating 1 1 if
     if(maxmax < ftolpl){      race White (0 0), Black vs White (1 0), Hispanic (0 1) and 1 1 being meaningless.
       return prlim;  
     }  
   }    
 }    Authors: Nicolas Brouard (brouard@ined.fr) and Agnès Lièvre (lievre@ined.fr).
              Institut national d'études démographiques, Paris.
 /*************** transition probabilities ***************/    This software have been partly granted by Euro-REVES, a concerted action
     from the European Union.
 double **pmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )    It is copyrighted identically to a GNU software product, ie programme and
 {    software can be distributed freely for non commercial use. Latest version
   double s1, s2;    can be accessed at http://euroreves.ined.fr/imach .
   /*double t34;*/  
   int i,j,j1, nc, ii, jj;    Help to debug: LD_PRELOAD=/usr/local/lib/libnjamd.so ./imach foo.imach
     or better on gdb : set env LD_PRELOAD=/usr/local/lib/libnjamd.so
     for(i=1; i<= nlstate; i++){    
     for(j=1; j<i;j++){    **********************************************************************/
       for (nc=1, s2=0.;nc <=ncovmodel; nc++){  /*
         /*s2 += param[i][j][nc]*cov[nc];*/    main
         s2 += x[(i-1)*nlstate*ncovmodel+(j-1)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];    read parameterfile
         /*printf("Int j<i s1=%.17e, s2=%.17e\n",s1,s2);*/    read datafile
       }    concatwav
       ps[i][j]=s2;    freqsummary
       /*printf("s1=%.17e, s2=%.17e\n",s1,s2);*/    if (mle >= 1)
     }      mlikeli
     for(j=i+1; j<=nlstate+ndeath;j++){    print results files
       for (nc=1, s2=0.;nc <=ncovmodel; nc++){    if mle==1 
         s2 += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];       computes hessian
         /*printf("Int j>i s1=%.17e, s2=%.17e %lx %lx\n",s1,s2,s1,s2);*/    read end of parameter file: agemin, agemax, bage, fage, estepm
       }        begin-prev-date,...
       ps[i][j]=s2;    open gnuplot file
     }    open html file
   }    period (stable) prevalence      | pl_nom    1-1 2-2 etc by covariate
     /*ps[3][2]=1;*/     for age prevalim()             | #****** V1=0  V2=1  V3=1  V4=0 ******
                                     | 65 1 0 2 1 3 1 4 0  0.96326 0.03674
   for(i=1; i<= nlstate; i++){      freexexit2 possible for memory heap.
      s1=0;  
     for(j=1; j<i; j++)    h Pij x                         | pij_nom  ficrestpij
       s1+=exp(ps[i][j]);     # Cov Agex agex+h hpijx with i,j= 1-1 1-2     1-3     2-1     2-2     2-3
     for(j=i+1; j<=nlstate+ndeath; j++)         1  85   85    1.00000             0.00000 0.00000 0.00000 1.00000 0.00000
       s1+=exp(ps[i][j]);         1  85   86    0.68299             0.22291 0.09410 0.71093 0.00000 0.28907
     ps[i][i]=1./(s1+1.);  
     for(j=1; j<i; j++)         1  65   99    0.00364             0.00322 0.99314 0.00350 0.00310 0.99340
       ps[i][j]= exp(ps[i][j])*ps[i][i];         1  65  100    0.00214             0.00204 0.99581 0.00206 0.00196 0.99597
     for(j=i+1; j<=nlstate+ndeath; j++)    variance of p one-step probabilities varprob  | prob_nom   ficresprob #One-step probabilities and stand. devi in ()
       ps[i][j]= exp(ps[i][j])*ps[i][i];     Standard deviation of one-step probabilities | probcor_nom   ficresprobcor #One-step probabilities and correlation matrix
     /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */     Matrix of variance covariance of one-step probabilities |  probcov_nom ficresprobcov #One-step probabilities and covariance matrix
   } /* end i */  
     forecasting if prevfcast==1 prevforecast call prevalence()
   for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){    health expectancies
     for(jj=1; jj<= nlstate+ndeath; jj++){    Variance-covariance of DFLE
       ps[ii][jj]=0;    prevalence()
       ps[ii][ii]=1;     movingaverage()
     }    varevsij() 
   }    if popbased==1 varevsij(,popbased)
     total life expectancies
     Variance of period (stable) prevalence
   /*   for(ii=1; ii<= nlstate+ndeath; ii++){   end
     for(jj=1; jj<= nlstate+ndeath; jj++){  */
      printf("%lf ",ps[ii][jj]);  
    }  /* #define DEBUG */
     printf("\n ");  /* #define DEBUGBRENT */
     }  /* #define DEBUGLINMIN */
     printf("\n ");printf("%lf ",cov[2]);*/  /* #define DEBUGHESS */
 /*  #define DEBUGHESSIJ
   for(i=1; i<= npar; i++) printf("%f ",x[i]);  /* #define LINMINORIGINAL  /\* Don't use loop on scale in linmin (accepting nan) *\/ */
   goto end;*/  #define POWELL /* Instead of NLOPT */
     return ps;  #define POWELLNOF3INFF1TEST /* Skip test */
 }  /* #define POWELLORIGINAL /\* Don't use Directest to decide new direction but original Powell test *\/ */
   /* #define MNBRAKORIGINAL /\* Don't use mnbrak fix *\/ */
 /**************** Product of 2 matrices ******************/  
   #include <math.h>
 double **matprod2(double **out, double **in,long nrl, long nrh, long ncl, long nch, long ncolol, long ncoloh, double **b)  #include <stdio.h>
 {  #include <stdlib.h>
   /* Computes the matrix product of in(1,nrh-nrl+1)(1,nch-ncl+1) times  #include <string.h>
      b(1,nch-ncl+1)(1,ncoloh-ncolol+1) into out(...) */  #include <ctype.h>
   /* in, b, out are matrice of pointers which should have been initialized  
      before: only the contents of out is modified. The function returns  #ifdef _WIN32
      a pointer to pointers identical to out */  #include <io.h>
   long i, j, k;  #include <windows.h>
   for(i=nrl; i<= nrh; i++)  #include <tchar.h>
     for(k=ncolol; k<=ncoloh; k++)  #else
       for(j=ncl,out[i][k]=0.; j<=nch; j++)  #include <unistd.h>
         out[i][k] +=in[i][j]*b[j][k];  #endif
   
   return out;  #include <limits.h>
 }  #include <sys/types.h>
   
   #if defined(__GNUC__)
 /************* Higher Matrix Product ***************/  #include <sys/utsname.h> /* Doesn't work on Windows */
   #endif
 double ***hpxij(double ***po, int nhstepm, double age, int hstepm, double *x, int nlstate, int stepm, double **oldm, double **savm, int ij )  
 {  #include <sys/stat.h>
   /* Computes the transition matrix starting at age 'age' over 'nhstepm*hstepm*stepm' month  #include <errno.h>
      duration (i.e. until  /* extern int errno; */
      age (in years)  age+nhstepm*stepm/12) by multiplying nhstepm*hstepm matrices.  
      Output is stored in matrix po[i][j][h] for h every 'hstepm' step  /* #ifdef LINUX */
      (typically every 2 years instead of every month which is too big).  /* #include <time.h> */
      Model is determined by parameters x and covariates have to be  /* #include "timeval.h" */
      included manually here.  /* #else */
   /* #include <sys/time.h> */
      */  /* #endif */
   
   int i, j, d, h, k;  #include <time.h>
   double **out, cov[NCOVMAX];  
   double **newm;  #ifdef GSL
   #include <gsl/gsl_errno.h>
   /* Hstepm could be zero and should return the unit matrix */  #include <gsl/gsl_multimin.h>
   for (i=1;i<=nlstate+ndeath;i++)  #endif
     for (j=1;j<=nlstate+ndeath;j++){  
       oldm[i][j]=(i==j ? 1.0 : 0.0);  
       po[i][j][0]=(i==j ? 1.0 : 0.0);  #ifdef NLOPT
     }  #include <nlopt.h>
   /* Even if hstepm = 1, at least one multiplication by the unit matrix */  typedef struct {
   for(h=1; h <=nhstepm; h++){    double (* function)(double [] );
     for(d=1; d <=hstepm; d++){  } myfunc_data ;
       newm=savm;  #endif
       /* Covariates have to be included here again */  
       cov[1]=1.;  /* #include <libintl.h> */
       cov[2]=age+((h-1)*hstepm + (d-1))*stepm/YEARM;  /* #define _(String) gettext (String) */
       for (k=1; k<=cptcovn;k++) cov[2+k]=nbcode[Tvar[k]][codtab[ij][Tvar[k]]];  
       for (k=1; k<=cptcovage;k++)  #define MAXLINE 1024 /* Was 256. Overflow with 312 with 2 states and 4 covariates. Should be ok */
         cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2];  
       for (k=1; k<=cptcovprod;k++)  #define GNUPLOTPROGRAM "gnuplot"
         cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]]*nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]];  /*#define GNUPLOTPROGRAM "..\\gp37mgw\\wgnuplot"*/
   #define FILENAMELENGTH 132
   
       /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/  #define GLOCK_ERROR_NOPATH              -1      /* empty path */
       /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/  #define GLOCK_ERROR_GETCWD              -2      /* cannot get cwd */
       out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath,  
                    pmij(pmmij,cov,ncovmodel,x,nlstate));  #define MAXPARM 128 /**< Maximum number of parameters for the optimization */
       savm=oldm;  #define NPARMAX 64 /**< (nlstate+ndeath-1)*nlstate*ncovmodel */
       oldm=newm;  
     }  #define NINTERVMAX 8
     for(i=1; i<=nlstate+ndeath; i++)  #define NLSTATEMAX 8 /**< Maximum number of live states (for func) */
       for(j=1;j<=nlstate+ndeath;j++) {  #define NDEATHMAX 8 /**< Maximum number of dead states (for func) */
         po[i][j][h]=newm[i][j];  #define NCOVMAX 20 /**< Maximum number of covariates, including generated covariates V1*V2 */
         /*printf("i=%d j=%d h=%d po[i][j][h]=%f ",i,j,h,po[i][j][h]);  #define codtabm(h,k)  (1 & (h-1) >> (k-1))+1
          */  /*#define decodtabm(h,k,cptcoveff)= (h <= (1<<cptcoveff)?(((h-1) >> (k-1)) & 1) +1 : -1)*/
       }  #define decodtabm(h,k,cptcoveff) (((h-1) >> (k-1)) & 1) +1 
   } /* end h */  #define MAXN 20000
   return po;  #define YEARM 12. /**< Number of months per year */
 }  /* #define AGESUP 130 */
   #define AGESUP 150
   #define AGEMARGE 25 /* Marge for agemin and agemax for(iage=agemin-AGEMARGE; iage <= agemax+3+AGEMARGE; iage++) */
 /*************** log-likelihood *************/  #define AGEBASE 40
 double func( double *x)  #define AGEOVERFLOW 1.e20
 {  #define AGEGOMP 10 /**< Minimal age for Gompertz adjustment */
   int i, ii, j, k, mi, d, kk;  #ifdef _WIN32
   double l, ll[NLSTATEMAX], cov[NCOVMAX];  #define DIRSEPARATOR '\\'
   double **out;  #define CHARSEPARATOR "\\"
   double sw; /* Sum of weights */  #define ODIRSEPARATOR '/'
   double lli; /* Individual log likelihood */  #else
   long ipmx;  #define DIRSEPARATOR '/'
   /*extern weight */  #define CHARSEPARATOR "/"
   /* We are differentiating ll according to initial status */  #define ODIRSEPARATOR '\\'
   /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/  #endif
   /*for(i=1;i<imx;i++)  
     printf(" %d\n",s[4][i]);  /* $Id$ */
   */  /* $State$ */
   cov[1]=1.;  #include "version.h"
   char version[]=__IMACH_VERSION__;
   for(k=1; k<=nlstate; k++) ll[k]=0.;  char copyright[]="February 2016,INED-EUROREVES-Institut de longevite-Japan Society for the Promotion of Science (Grant-in-Aid for Scientific Research 25293121), Intel Software 2015-2018";
   for (i=1,ipmx=0, sw=0.; i<=imx; i++){  char fullversion[]="$Revision$ $Date$"; 
     for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];  char strstart[80];
     for(mi=1; mi<= wav[i]-1; mi++){  char optionfilext[10], optionfilefiname[FILENAMELENGTH];
       for (ii=1;ii<=nlstate+ndeath;ii++)  int erreur=0, nberr=0, nbwarn=0; /* Error number, number of errors number of warnings  */
         for (j=1;j<=nlstate+ndeath;j++) oldm[ii][j]=(ii==j ? 1.0 : 0.0);  int nagesqr=0, nforce=0; /* nagesqr=1 if model is including age*age, number of forces */
       for(d=0; d<dh[mi][i]; d++){  /* Number of covariates model=V2+V1+ V3*age+V2*V4 */
         newm=savm;  int cptcovn=0; /**< cptcovn number of covariates added in the model (excepting constant and age and age*product) */
         cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;  int cptcovt=0; /**< cptcovt number of covariates added in the model (excepting constant and age) */
         for (kk=1; kk<=cptcovage;kk++) {  int cptcovs=0; /**< cptcovs number of simple covariates in the model V2+V1 =2 */
           cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];  int cptcovsnq=0; /**< cptcovsnq number of simple covariates in the model but non quantitative V2+V1 =2 */
         }  int cptcovage=0; /**< Number of covariates with age: V3*age only =1 */
          int cptcovprodnoage=0; /**< Number of covariate products without age */   
         out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,  int cptcoveff=0; /* Total number of covariates to vary for printing results */
                      1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));  int ncoveff=0; /* Total number of effective covariates in the model */
         savm=oldm;  int nqfveff=0; /**< nqfveff Number of Quantitative Fixed Variables Effective */
         oldm=newm;  int ntveff=0; /**< ntveff number of effective time varying variables */
          int nqtveff=0; /**< ntqveff number of effective time varying quantitative variables */
          int cptcov=0; /* Working variable */
       } /* end mult */  int ncovcombmax=NCOVMAX; /* Maximum calculated number of covariate combination = pow(2, cptcoveff) */
        int npar=NPARMAX;
       lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);  int nlstate=2; /* Number of live states */
       /* printf(" %f ",out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);*/  int ndeath=1; /* Number of dead states */
       ipmx +=1;  int ncovmodel=0, ncovcol=0;     /* Total number of covariables including constant a12*1 +b12*x ncovmodel=2 */
       sw += weight[i];  int  nqv=0, ntv=0, nqtv=0;    /* Total number of quantitative variables, time variable (dummy), quantitative and time variable */ 
       ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;  int popbased=0;
     } /* end of wave */  
   } /* end of individual */  int *wav; /* Number of waves for this individuual 0 is possible */
   int maxwav=0; /* Maxim number of waves */
   for(k=1,l=0.; k<=nlstate; k++) l += ll[k];  int jmin=0, jmax=0; /* min, max spacing between 2 waves */
   /* printf("l1=%f l2=%f ",ll[1],ll[2]); */  int ijmin=0, ijmax=0; /* Individuals having jmin and jmax */ 
   l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */  int gipmx=0, gsw=0; /* Global variables on the number of contributions 
   return -l;                     to the likelihood and the sum of weights (done by funcone)*/
 }  int mle=1, weightopt=0;
   int **mw; /* mw[mi][i] is number of the mi wave for this individual */
   int **dh; /* dh[mi][i] is number of steps between mi,mi+1 for this individual */
 /*********** Maximum Likelihood Estimation ***************/  int **bh; /* bh[mi][i] is the bias (+ or -) for this individual if the delay between
              * wave mi and wave mi+1 is not an exact multiple of stepm. */
 void mlikeli(FILE *ficres,double p[], int npar, int ncovmodel, int nlstate, double ftol, double (*func)(double []))  int countcallfunc=0;  /* Count the number of calls to func */
 {  double jmean=1; /* Mean space between 2 waves */
   int i,j, iter;  double **matprod2(); /* test */
   double **xi,*delti;  double **oldm, **newm, **savm; /* Working pointers to matrices */
   double fret;  double **oldms, **newms, **savms; /* Fixed working pointers to matrices */
   xi=matrix(1,npar,1,npar);  double   **ddnewms, **ddoldms, **ddsavms; /* for freeing later */
   for (i=1;i<=npar;i++)  
     for (j=1;j<=npar;j++)  /*FILE *fic ; */ /* Used in readdata only */
       xi[i][j]=(i==j ? 1.0 : 0.0);  FILE *ficpar, *ficparo,*ficres, *ficresp, *ficresphtm, *ficresphtmfr, *ficrespl, *ficresplb,*ficrespij, *ficrespijb, *ficrest,*ficresf, *ficresfb,*ficrespop;
   printf("Powell\n");  FILE *ficlog, *ficrespow;
   powell(p,xi,npar,ftol,&iter,&fret,func);  int globpr=0; /* Global variable for printing or not */
   double fretone; /* Only one call to likelihood */
    printf("\n#Number of iterations = %d, -2 Log likelihood = %.12f\n",iter,func(p));  long ipmx=0; /* Number of contributions */
   fprintf(ficres,"#Number of iterations = %d, -2 Log likelihood = %.12f \n",iter,func(p));  double sw; /* Sum of weights */
   char filerespow[FILENAMELENGTH];
 }  char fileresilk[FILENAMELENGTH]; /* File of individual contributions to the likelihood */
   FILE *ficresilk;
 /**** Computes Hessian and covariance matrix ***/  FILE *ficgp,*ficresprob,*ficpop, *ficresprobcov, *ficresprobcor;
 void hesscov(double **matcov, double p[], int npar, double delti[], double ftolhess, double (*func)(double []))  FILE *ficresprobmorprev;
 {  FILE *fichtm, *fichtmcov; /* Html File */
   double  **a,**y,*x,pd;  FILE *ficreseij;
   double **hess;  char filerese[FILENAMELENGTH];
   int i, j,jk;  FILE *ficresstdeij;
   int *indx;  char fileresstde[FILENAMELENGTH];
   FILE *ficrescveij;
   double hessii(double p[], double delta, int theta, double delti[]);  char filerescve[FILENAMELENGTH];
   double hessij(double p[], double delti[], int i, int j);  FILE  *ficresvij;
   void lubksb(double **a, int npar, int *indx, double b[]) ;  char fileresv[FILENAMELENGTH];
   void ludcmp(double **a, int npar, int *indx, double *d) ;  FILE  *ficresvpl;
   char fileresvpl[FILENAMELENGTH];
   hess=matrix(1,npar,1,npar);  char title[MAXLINE];
   char optionfile[FILENAMELENGTH], datafile[FILENAMELENGTH],  filerespl[FILENAMELENGTH],  fileresplb[FILENAMELENGTH];
   printf("\nCalculation of the hessian matrix. Wait...\n");  char plotcmd[FILENAMELENGTH], pplotcmd[FILENAMELENGTH];
   for (i=1;i<=npar;i++){  char tmpout[FILENAMELENGTH],  tmpout2[FILENAMELENGTH]; 
     printf("%d",i);fflush(stdout);  char command[FILENAMELENGTH];
     hess[i][i]=hessii(p,ftolhess,i,delti);  int  outcmd=0;
     /*printf(" %f ",p[i]);*/  
     /*printf(" %lf ",hess[i][i]);*/  char fileres[FILENAMELENGTH], filerespij[FILENAMELENGTH], filerespijb[FILENAMELENGTH], filereso[FILENAMELENGTH], rfileres[FILENAMELENGTH];
   }  char fileresu[FILENAMELENGTH]; /* fileres without r in front */
    char filelog[FILENAMELENGTH]; /* Log file */
   for (i=1;i<=npar;i++) {  char filerest[FILENAMELENGTH];
     for (j=1;j<=npar;j++)  {  char fileregp[FILENAMELENGTH];
       if (j>i) {  char popfile[FILENAMELENGTH];
         printf(".%d%d",i,j);fflush(stdout);  
         hess[i][j]=hessij(p,delti,i,j);  char optionfilegnuplot[FILENAMELENGTH], optionfilehtm[FILENAMELENGTH], optionfilehtmcov[FILENAMELENGTH] ;
         hess[j][i]=hess[i][j];      
         /*printf(" %lf ",hess[i][j]);*/  /* struct timeval start_time, end_time, curr_time, last_time, forecast_time; */
       }  /* struct timezone tzp; */
     }  /* extern int gettimeofday(); */
   }  struct tm tml, *gmtime(), *localtime();
   printf("\n");  
   extern time_t time();
   printf("\nInverting the hessian to get the covariance matrix. Wait...\n");  
    struct tm start_time, end_time, curr_time, last_time, forecast_time;
   a=matrix(1,npar,1,npar);  time_t  rstart_time, rend_time, rcurr_time, rlast_time, rforecast_time; /* raw time */
   y=matrix(1,npar,1,npar);  struct tm tm;
   x=vector(1,npar);  
   indx=ivector(1,npar);  char strcurr[80], strfor[80];
   for (i=1;i<=npar;i++)  
     for (j=1;j<=npar;j++) a[i][j]=hess[i][j];  char *endptr;
   ludcmp(a,npar,indx,&pd);  long lval;
   double dval;
   for (j=1;j<=npar;j++) {  
     for (i=1;i<=npar;i++) x[i]=0;  #define NR_END 1
     x[j]=1;  #define FREE_ARG char*
     lubksb(a,npar,indx,x);  #define FTOL 1.0e-10
     for (i=1;i<=npar;i++){  
       matcov[i][j]=x[i];  #define NRANSI 
     }  #define ITMAX 200 
   }  
   #define TOL 2.0e-4 
   printf("\n#Hessian matrix#\n");  
   for (i=1;i<=npar;i++) {  #define CGOLD 0.3819660 
     for (j=1;j<=npar;j++) {  #define ZEPS 1.0e-10 
       printf("%.3e ",hess[i][j]);  #define SHFT(a,b,c,d) (a)=(b);(b)=(c);(c)=(d); 
     }  
     printf("\n");  #define GOLD 1.618034 
   }  #define GLIMIT 100.0 
   #define TINY 1.0e-20 
   /* Recompute Inverse */  
   for (i=1;i<=npar;i++)  static double maxarg1,maxarg2;
     for (j=1;j<=npar;j++) a[i][j]=matcov[i][j];  #define FMAX(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)>(maxarg2)? (maxarg1):(maxarg2))
   ludcmp(a,npar,indx,&pd);  #define FMIN(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)<(maxarg2)? (maxarg1):(maxarg2))
     
   /*  printf("\n#Hessian matrix recomputed#\n");  #define SIGN(a,b) ((b)>0.0 ? fabs(a) : -fabs(a))
   #define rint(a) floor(a+0.5)
   for (j=1;j<=npar;j++) {  /* http://www.thphys.uni-heidelberg.de/~robbers/cmbeasy/doc/html/myutils_8h-source.html */
     for (i=1;i<=npar;i++) x[i]=0;  #define mytinydouble 1.0e-16
     x[j]=1;  /* #define DEQUAL(a,b) (fabs((a)-(b))<mytinydouble) */
     lubksb(a,npar,indx,x);  /* http://www.thphys.uni-heidelberg.de/~robbers/cmbeasy/doc/html/mynrutils_8h-source.html */
     for (i=1;i<=npar;i++){  /* static double dsqrarg; */
       y[i][j]=x[i];  /* #define DSQR(a) (DEQUAL((dsqrarg=(a)),0.0) ? 0.0 : dsqrarg*dsqrarg) */
       printf("%.3e ",y[i][j]);  static double sqrarg;
     }  #define SQR(a) ((sqrarg=(a)) == 0.0 ? 0.0 :sqrarg*sqrarg)
     printf("\n");  #define SWAP(a,b) {temp=(a);(a)=(b);(b)=temp;} 
   }  int agegomp= AGEGOMP;
   */  
   int imx; 
   free_matrix(a,1,npar,1,npar);  int stepm=1;
   free_matrix(y,1,npar,1,npar);  /* Stepm, step in month: minimum step interpolation*/
   free_vector(x,1,npar);  
   free_ivector(indx,1,npar);  int estepm;
   free_matrix(hess,1,npar,1,npar);  /* Estepm, step in month to interpolate survival function in order to approximate Life Expectancy*/
   
   int m,nb;
 }  long *num;
   int firstpass=0, lastpass=4,*cod, *cens;
 /*************** hessian matrix ****************/  int *ncodemax;  /* ncodemax[j]= Number of modalities of the j th
 double hessii( double x[], double delta, int theta, double delti[])                     covariate for which somebody answered excluding 
 {                     undefined. Usually 2: 0 and 1. */
   int i;  int *ncodemaxwundef;  /* ncodemax[j]= Number of modalities of the j th
   int l=1, lmax=20;                               covariate for which somebody answered including 
   double k1,k2;                               undefined. Usually 3: -1, 0 and 1. */
   double p2[NPARMAX+1];  double **agev,*moisnais, *annais, *moisdc, *andc,**mint, **anint;
   double res;  double **pmmij, ***probs; /* Global pointer */
   double delt, delts, nkhi=10.,nkhif=1., khi=1.e-4;  double ***mobaverage, ***mobaverages; /* New global variable */
   double fx;  double *ageexmed,*agecens;
   int k=0,kmax=10;  double dateintmean=0;
   double l1;  
   double *weight;
   fx=func(x);  int **s; /* Status */
   for (i=1;i<=npar;i++) p2[i]=x[i];  double *agedc;
   for(l=0 ; l <=lmax; l++){  double  **covar; /**< covar[j,i], value of jth covariate for individual i,
     l1=pow(10,l);                    * covar=matrix(0,NCOVMAX,1,n); 
     delts=delt;                    * cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*age; */
     for(k=1 ; k <kmax; k=k+1){  double **coqvar; /* Fixed quantitative covariate iqv */
       delt = delta*(l1*k);  double ***cotvar; /* Time varying covariate itv */
       p2[theta]=x[theta] +delt;  double ***cotqvar; /* Time varying quantitative covariate itqv */
       k1=func(p2)-fx;  double  idx; 
       p2[theta]=x[theta]-delt;  int **nbcode, *Tvar; /**< model=V2 => Tvar[1]= 2 */
       k2=func(p2)-fx;  int *Typevar; /**< 0 for simple covariate (dummy, quantitative, fixed or varying), 1 for age product, 2 for  product */
       /*res= (k1-2.0*fx+k2)/delt/delt; */  int *Fixed; /** Fixed[k] 0=fixed, 1 varying, 2 fixed with age product, 3 varying with age product */ 
       res= (k1+k2)/delt/delt/2.; /* Divided by because L and not 2*L */  int *Dummy; /** Dummy[k] 0=dummy (0 1), 1 quantitative (single or product without age), 2 dummy with age product, 3 quant with age product */ 
        int *Tage;
 #ifdef DEBUG  int anyvaryingduminmodel=0; /**< Any varying dummy in Model=1 yes, 0 no, to avoid a loop on waves in freq */ 
       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);  int *Tmodelind; /** Tmodelind[Tvaraff[3]]=9 for V1 position,Tvaraff[1]@9={4, 3, 1, 0, 0, 0, 0, 0, 0}, model=V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1*/
 #endif  int *TmodelInvind; /** Tmodelind[Tvaraff[3]]=9 for V1 position,Tvaraff[1]@9={4, 3, 1, 0, 0, 0, 0, 0, 0}, model=V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1*/
       /*if(fabs(k1-2.0*fx+k2) <1.e-13){ */  int *TmodelInvQind; /** Tmodelqind[1]=1 for V5(quantitative varying) position,Tvaraff[1]@9={4, 3, 1, 0, 0, 0, 0, 0, 0}, model=V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1*/
       if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)){  int *Ndum; /** Freq of modality (tricode */
         k=kmax;  /* int **codtab;*/ /**< codtab=imatrix(1,100,1,10); */
       }  int **Tvard;
       else if((k1 >khi/nkhif) || (k2 >khi/nkhif)){ /* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. */  int *Tprod;/**< Gives the k position of the k1 product */
         k=kmax; l=lmax*10.;  int *Tposprod; /**< Gives the k1 product from the k position */
       }  /* Tprod[k1=1]=3(=V1*V4) for V2+V1+V1*V4+age*V3
       else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){     if  V2+V1+V1*V4+age*V3+V3*V2   TProd[k1=2]=5 (V3*V2)
         delts=delt;     Tposprod[k]=k1 , Tposprod[3]=1, Tposprod[5]=2 
       }  */
     }  int cptcovprod, *Tvaraff, *invalidvarcomb;
   }  double *lsurv, *lpop, *tpop;
   delti[theta]=delts;  
   return res;  double ftol=FTOL; /**< Tolerance for computing Max Likelihood */
    double ftolhess; /**< Tolerance for computing hessian */
 }  
   /**************** split *************************/
 double hessij( double x[], double delti[], int thetai,int thetaj)  static  int split( char *path, char *dirc, char *name, char *ext, char *finame )
 {  {
   int i;    /* From a file name with (full) path (either Unix or Windows) we extract the directory (dirc)
   int l=1, l1, lmax=20;       the name of the file (name), its extension only (ext) and its first part of the name (finame)
   double k1,k2,k3,k4,res,fx;    */ 
   double p2[NPARMAX+1];    char  *ss;                            /* pointer */
   int k;    int   l1=0, l2=0;                             /* length counters */
   
   fx=func(x);    l1 = strlen(path );                   /* length of path */
   for (k=1; k<=2; k++) {    if ( l1 == 0 ) return( GLOCK_ERROR_NOPATH );
     for (i=1;i<=npar;i++) p2[i]=x[i];    ss= strrchr( path, DIRSEPARATOR );            /* find last / */
     p2[thetai]=x[thetai]+delti[thetai]/k;    if ( ss == NULL ) {                   /* no directory, so determine current directory */
     p2[thetaj]=x[thetaj]+delti[thetaj]/k;      strcpy( name, path );               /* we got the fullname name because no directory */
     k1=func(p2)-fx;      /*if(strrchr(path, ODIRSEPARATOR )==NULL)
          printf("Warning you should use %s as a separator\n",DIRSEPARATOR);*/
     p2[thetai]=x[thetai]+delti[thetai]/k;      /* get current working directory */
     p2[thetaj]=x[thetaj]-delti[thetaj]/k;      /*    extern  char* getcwd ( char *buf , int len);*/
     k2=func(p2)-fx;  #ifdef WIN32
        if (_getcwd( dirc, FILENAME_MAX ) == NULL ) {
     p2[thetai]=x[thetai]-delti[thetai]/k;  #else
     p2[thetaj]=x[thetaj]+delti[thetaj]/k;          if (getcwd(dirc, FILENAME_MAX) == NULL) {
     k3=func(p2)-fx;  #endif
          return( GLOCK_ERROR_GETCWD );
     p2[thetai]=x[thetai]-delti[thetai]/k;      }
     p2[thetaj]=x[thetaj]-delti[thetaj]/k;      /* got dirc from getcwd*/
     k4=func(p2)-fx;      printf(" DIRC = %s \n",dirc);
     res=(k1-k2-k3+k4)/4.0/delti[thetai]*k/delti[thetaj]*k/2.; /* Because of L not 2*L */    } else {                              /* strip directory from path */
 #ifdef DEBUG      ss++;                               /* after this, the filename */
     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);      l2 = strlen( ss );                  /* length of filename */
 #endif      if ( l2 == 0 ) return( GLOCK_ERROR_NOPATH );
   }      strcpy( name, ss );         /* save file name */
   return res;      strncpy( dirc, path, l1 - l2 );     /* now the directory */
 }      dirc[l1-l2] = '\0';                 /* add zero */
       printf(" DIRC2 = %s \n",dirc);
 /************** Inverse of matrix **************/    }
 void ludcmp(double **a, int n, int *indx, double *d)    /* We add a separator at the end of dirc if not exists */
 {    l1 = strlen( dirc );                  /* length of directory */
   int i,imax,j,k;    if( dirc[l1-1] != DIRSEPARATOR ){
   double big,dum,sum,temp;      dirc[l1] =  DIRSEPARATOR;
   double *vv;      dirc[l1+1] = 0; 
        printf(" DIRC3 = %s \n",dirc);
   vv=vector(1,n);    }
   *d=1.0;    ss = strrchr( name, '.' );            /* find last / */
   for (i=1;i<=n;i++) {    if (ss >0){
     big=0.0;      ss++;
     for (j=1;j<=n;j++)      strcpy(ext,ss);                     /* save extension */
       if ((temp=fabs(a[i][j])) > big) big=temp;      l1= strlen( name);
     if (big == 0.0) nrerror("Singular matrix in routine ludcmp");      l2= strlen(ss)+1;
     vv[i]=1.0/big;      strncpy( finame, name, l1-l2);
   }      finame[l1-l2]= 0;
   for (j=1;j<=n;j++) {    }
     for (i=1;i<j;i++) {  
       sum=a[i][j];    return( 0 );                          /* we're done */
       for (k=1;k<i;k++) sum -= a[i][k]*a[k][j];  }
       a[i][j]=sum;  
     }  
     big=0.0;  /******************************************/
     for (i=j;i<=n;i++) {  
       sum=a[i][j];  void replace_back_to_slash(char *s, char*t)
       for (k=1;k<j;k++)  {
         sum -= a[i][k]*a[k][j];    int i;
       a[i][j]=sum;    int lg=0;
       if ( (dum=vv[i]*fabs(sum)) >= big) {    i=0;
         big=dum;    lg=strlen(t);
         imax=i;    for(i=0; i<= lg; i++) {
       }      (s[i] = t[i]);
     }      if (t[i]== '\\') s[i]='/';
     if (j != imax) {    }
       for (k=1;k<=n;k++) {  }
         dum=a[imax][k];  
         a[imax][k]=a[j][k];  char *trimbb(char *out, char *in)
         a[j][k]=dum;  { /* Trim multiple blanks in line but keeps first blanks if line starts with blanks */
       }    char *s;
       *d = -(*d);    s=out;
       vv[imax]=vv[j];    while (*in != '\0'){
     }      while( *in == ' ' && *(in+1) == ' '){ /* && *(in+1) != '\0'){*/
     indx[j]=imax;        in++;
     if (a[j][j] == 0.0) a[j][j]=TINY;      }
     if (j != n) {      *out++ = *in++;
       dum=1.0/(a[j][j]);    }
       for (i=j+1;i<=n;i++) a[i][j] *= dum;    *out='\0';
     }    return s;
   }  }
   free_vector(vv,1,n);  /* Doesn't work */  
 ;  /* char *substrchaine(char *out, char *in, char *chain) */
 }  /* { */
   /*   /\* Substract chain 'chain' from 'in', return and output 'out' *\/ */
 void lubksb(double **a, int n, int *indx, double b[])  /*   char *s, *t; */
 {  /*   t=in;s=out; */
   int i,ii=0,ip,j;  /*   while ((*in != *chain) && (*in != '\0')){ */
   double sum;  /*     *out++ = *in++; */
    /*   } */
   for (i=1;i<=n;i++) {  
     ip=indx[i];  /*   /\* *in matches *chain *\/ */
     sum=b[ip];  /*   while ((*in++ == *chain++) && (*in != '\0')){ */
     b[ip]=b[i];  /*     printf("*in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
     if (ii)  /*   } */
       for (j=ii;j<=i-1;j++) sum -= a[i][j]*b[j];  /*   in--; chain--; */
     else if (sum) ii=i;  /*   while ( (*in != '\0')){ */
     b[i]=sum;  /*     printf("Bef *in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
   }  /*     *out++ = *in++; */
   for (i=n;i>=1;i--) {  /*     printf("Aft *in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
     sum=b[i];  /*   } */
     for (j=i+1;j<=n;j++) sum -= a[i][j]*b[j];  /*   *out='\0'; */
     b[i]=sum/a[i][i];  /*   out=s; */
   }  /*   return out; */
 }  /* } */
   char *substrchaine(char *out, char *in, char *chain)
 /************ Frequencies ********************/  {
 void  freqsummary(char fileres[], int agemin, int agemax, int **s, double **agev, int nlstate, int imx, int *Tvar, int **nbcode, int *ncodemax,double **mint,double **anint, double dateprev1,double dateprev2,double jprev1, double mprev1,double anprev1,double jprev2, double mprev2,double anprev2)    /* Substract chain 'chain' from 'in', return and output 'out' */
 {  /* Some frequencies */    /* in="V1+V1*age+age*age+V2", chain="age*age" */
    
   int i, m, jk, k1,i1, j1, bool, z1,z2,j;    char *strloc;
   double ***freq; /* Frequencies */  
   double *pp;    strcpy (out, in); 
   double pos, k2, dateintsum=0,k2cpt=0;    strloc = strstr(out, chain); /* strloc points to out at age*age+V2 */
   FILE *ficresp;    printf("Bef strloc=%s chain=%s out=%s \n", strloc, chain, out);
   char fileresp[FILENAMELENGTH];    if(strloc != NULL){ 
        /* will affect out */ /* strloc+strlenc(chain)=+V2 */ /* Will also work in Unicode */
   pp=vector(1,nlstate);      memmove(strloc,strloc+strlen(chain), strlen(strloc+strlen(chain))+1);
   probs= ma3x(1,AGESUP,1,NCOVMAX, 1,NCOVMAX);      /* strcpy (strloc, strloc +strlen(chain));*/
   strcpy(fileresp,"p");    }
   strcat(fileresp,fileres);    printf("Aft strloc=%s chain=%s in=%s out=%s \n", strloc, chain, in, out);
   if((ficresp=fopen(fileresp,"w"))==NULL) {    return out;
     printf("Problem with prevalence resultfile: %s\n", fileresp);  }
     exit(0);  
   }  
   freq= ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,agemin,agemax+3);  char *cutl(char *blocc, char *alocc, char *in, char occ)
   j1=0;  {
      /* cuts string in into blocc and alocc where blocc ends before FIRST occurence of char 'occ' 
   j=cptcoveff;       and alocc starts after first occurence of char 'occ' : ex cutv(blocc,alocc,"abcdef2ghi2j",'2')
   if (cptcovn<1) {j=1;ncodemax[1]=1;}       gives blocc="abcdef" and alocc="ghi2j".
         If occ is not found blocc is null and alocc is equal to in. Returns blocc
   for(k1=1; k1<=j;k1++){    */
     for(i1=1; i1<=ncodemax[k1];i1++){    char *s, *t;
       j1++;    t=in;s=in;
       /*printf("cptcoveff=%d Tvaraff=%d", cptcoveff,Tvaraff[1]);    while ((*in != occ) && (*in != '\0')){
         scanf("%d", i);*/      *alocc++ = *in++;
       for (i=-1; i<=nlstate+ndeath; i++)      }
         for (jk=-1; jk<=nlstate+ndeath; jk++)      if( *in == occ){
           for(m=agemin; m <= agemax+3; m++)      *(alocc)='\0';
             freq[i][jk][m]=0;      s=++in;
          }
       dateintsum=0;   
       k2cpt=0;    if (s == t) {/* occ not found */
       for (i=1; i<=imx; i++) {      *(alocc-(in-s))='\0';
         bool=1;      in=s;
         if  (cptcovn>0) {    }
           for (z1=1; z1<=cptcoveff; z1++)    while ( *in != '\0'){
             if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtab[j1][z1]])      *blocc++ = *in++;
               bool=0;    }
         }  
         if (bool==1) {    *blocc='\0';
           for(m=firstpass; m<=lastpass; m++){    return t;
             k2=anint[m][i]+(mint[m][i]/12.);  }
             if ((k2>=dateprev1) && (k2<=dateprev2)) {  char *cutv(char *blocc, char *alocc, char *in, char occ)
               if(agev[m][i]==0) agev[m][i]=agemax+1;  {
               if(agev[m][i]==1) agev[m][i]=agemax+2;    /* cuts string in into blocc and alocc where blocc ends before LAST occurence of char 'occ' 
               if (m<lastpass) {       and alocc starts after last occurence of char 'occ' : ex cutv(blocc,alocc,"abcdef2ghi2j",'2')
                 freq[s[m][i]][s[m+1][i]][(int)agev[m][i]] += weight[i];       gives blocc="abcdef2ghi" and alocc="j".
                 freq[s[m][i]][s[m+1][i]][(int) agemax+3] += weight[i];       If occ is not found blocc is null and alocc is equal to in. Returns alocc
               }    */
                  char *s, *t;
               if ((agev[m][i]>1) && (agev[m][i]< (agemax+3))) {    t=in;s=in;
                 dateintsum=dateintsum+k2;    while (*in != '\0'){
                 k2cpt++;      while( *in == occ){
               }        *blocc++ = *in++;
             }        s=in;
           }      }
         }      *blocc++ = *in++;
       }    }
            if (s == t) /* occ not found */
       fprintf(ficresp, "#Count between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);      *(blocc-(in-s))='\0';
     else
       if  (cptcovn>0) {      *(blocc-(in-s)-1)='\0';
         fprintf(ficresp, "\n#********** Variable ");    in=s;
         for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresp, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);    while ( *in != '\0'){
         fprintf(ficresp, "**********\n#");      *alocc++ = *in++;
       }    }
       for(i=1; i<=nlstate;i++)  
         fprintf(ficresp, " Age Prev(%d) N(%d) N",i,i);    *alocc='\0';
       fprintf(ficresp, "\n");    return s;
        }
       for(i=(int)agemin; i <= (int)agemax+3; i++){  
         if(i==(int)agemax+3)  int nbocc(char *s, char occ)
           printf("Total");  {
         else    int i,j=0;
           printf("Age %d", i);    int lg=20;
         for(jk=1; jk <=nlstate ; jk++){    i=0;
           for(m=-1, pp[jk]=0; m <=nlstate+ndeath ; m++)    lg=strlen(s);
             pp[jk] += freq[jk][m][i];    for(i=0; i<= lg; i++) {
         }    if  (s[i] == occ ) j++;
         for(jk=1; jk <=nlstate ; jk++){    }
           for(m=-1, pos=0; m <=0 ; m++)    return j;
             pos += freq[jk][m][i];  }
           if(pp[jk]>=1.e-10)  
             printf(" %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);  /* void cutv(char *u,char *v, char*t, char occ) */
           else  /* { */
             printf(" %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);  /*   /\* 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') */
   /*      gives u="abcdef2ghi" and v="j" *\/ */
         for(jk=1; jk <=nlstate ; jk++){  /*   int i,lg,j,p=0; */
           for(m=0, pp[jk]=0; m <=nlstate+ndeath; m++)  /*   i=0; */
             pp[jk] += freq[jk][m][i];  /*   lg=strlen(t); */
         }  /*   for(j=0; j<=lg-1; j++) { */
   /*     if((t[j]!= occ) && (t[j+1]== occ)) p=j+1; */
         for(jk=1,pos=0; jk <=nlstate ; jk++)  /*   } */
           pos += pp[jk];  
         for(jk=1; jk <=nlstate ; jk++){  /*   for(j=0; j<p; j++) { */
           if(pos>=1.e-5)  /*     (u[j] = t[j]); */
             printf(" %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);  /*   } */
           else  /*      u[p]='\0'; */
             printf(" %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);  
           if( i <= (int) agemax){  /*    for(j=0; j<= lg; j++) { */
             if(pos>=1.e-5){  /*     if (j>=(p+1))(v[j-p-1] = t[j]); */
               fprintf(ficresp," %d %.5f %.0f %.0f",i,pp[jk]/pos, pp[jk],pos);  /*   } */
               probs[i][jk][j1]= pp[jk]/pos;  /* } */
               /*printf("\ni=%d jk=%d j1=%d %.5f %.0f %.0f %f",i,jk,j1,pp[jk]/pos, pp[jk],pos,probs[i][jk][j1]);*/  
             }  #ifdef _WIN32
             else  char * strsep(char **pp, const char *delim)
               fprintf(ficresp," %d NaNq %.0f %.0f",i,pp[jk],pos);  {
           }    char *p, *q;
         }           
            if ((p = *pp) == NULL)
         for(jk=-1; jk <=nlstate+ndeath; jk++)      return 0;
           for(m=-1; m <=nlstate+ndeath; m++)    if ((q = strpbrk (p, delim)) != NULL)
             if(freq[jk][m][i] !=0 ) printf(" %d%d=%.0f",jk,m,freq[jk][m][i]);    {
         if(i <= (int) agemax)      *pp = q + 1;
           fprintf(ficresp,"\n");      *q = '\0';
         printf("\n");    }
       }    else
     }      *pp = 0;
   }    return p;
   dateintmean=dateintsum/k2cpt;  }
    #endif
   fclose(ficresp);  
   free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath,(int) agemin,(int) agemax+3);  /********************** nrerror ********************/
   free_vector(pp,1,nlstate);  
    void nrerror(char error_text[])
   /* End of Freq */  {
 }    fprintf(stderr,"ERREUR ...\n");
     fprintf(stderr,"%s\n",error_text);
 /************ Prevalence ********************/    exit(EXIT_FAILURE);
 void prevalence(int agemin, float agemax, int **s, double **agev, int nlstate, int imx, int *Tvar, int **nbcode, int *ncodemax,double **mint,double **anint, double dateprev1,double dateprev2, double calagedate)  }
 {  /* Some frequencies */  /*********************** vector *******************/
    double *vector(int nl, int nh)
   int i, m, jk, k1, i1, j1, bool, z1,z2,j;  {
   double ***freq; /* Frequencies */    double *v;
   double *pp;    v=(double *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(double)));
   double pos, k2;    if (!v) nrerror("allocation failure in vector");
     return v-nl+NR_END;
   pp=vector(1,nlstate);  }
   probs= ma3x(1,AGESUP,1,NCOVMAX, 1,NCOVMAX);  
    /************************ free vector ******************/
   freq=ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,agemin,agemax+3);  void free_vector(double*v, int nl, int nh)
   j1=0;  {
      free((FREE_ARG)(v+nl-NR_END));
   j=cptcoveff;  }
   if (cptcovn<1) {j=1;ncodemax[1]=1;}  
    /************************ivector *******************************/
   for(k1=1; k1<=j;k1++){  int *ivector(long nl,long nh)
     for(i1=1; i1<=ncodemax[k1];i1++){  {
       j1++;    int *v;
          v=(int *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(int)));
       for (i=-1; i<=nlstate+ndeath; i++)      if (!v) nrerror("allocation failure in ivector");
         for (jk=-1; jk<=nlstate+ndeath; jk++)      return v-nl+NR_END;
           for(m=agemin; m <= agemax+3; m++)  }
             freq[i][jk][m]=0;  
        /******************free ivector **************************/
       for (i=1; i<=imx; i++) {  void free_ivector(int *v, long nl, long nh)
         bool=1;  {
         if  (cptcovn>0) {    free((FREE_ARG)(v+nl-NR_END));
           for (z1=1; z1<=cptcoveff; z1++)  }
             if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtab[j1][z1]])  
               bool=0;  /************************lvector *******************************/
         }  long *lvector(long nl,long nh)
         if (bool==1) {  {
           for(m=firstpass; m<=lastpass; m++){    long *v;
             k2=anint[m][i]+(mint[m][i]/12.);    v=(long *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(long)));
             if ((k2>=dateprev1) && (k2<=dateprev2)) {    if (!v) nrerror("allocation failure in ivector");
               if(agev[m][i]==0) agev[m][i]=agemax+1;    return v-nl+NR_END;
               if(agev[m][i]==1) agev[m][i]=agemax+2;  }
               if (m<lastpass) {  
                 if (calagedate>0)  /******************free lvector **************************/
                   freq[s[m][i]][s[m+1][i]][(int)(agev[m][i]+1-((int)calagedate %12)/12.)] += weight[i];  void free_lvector(long *v, long nl, long nh)
                 else  {
                   freq[s[m][i]][s[m+1][i]][(int)agev[m][i]] += weight[i];    free((FREE_ARG)(v+nl-NR_END));
                 freq[s[m][i]][s[m+1][i]][(int)(agemax+3)] += weight[i];  }
               }  
             }  /******************* imatrix *******************************/
           }  int **imatrix(long nrl, long nrh, long ncl, long nch) 
         }       /* allocate a int matrix with subscript range m[nrl..nrh][ncl..nch] */ 
       }  { 
       for(i=(int)agemin; i <= (int)agemax+3; i++){    long i, nrow=nrh-nrl+1,ncol=nch-ncl+1; 
         for(jk=1; jk <=nlstate ; jk++){    int **m; 
           for(m=-1, pp[jk]=0; m <=nlstate+ndeath ; m++)    
             pp[jk] += freq[jk][m][i];    /* allocate pointers to rows */ 
         }    m=(int **) malloc((size_t)((nrow+NR_END)*sizeof(int*))); 
         for(jk=1; jk <=nlstate ; jk++){    if (!m) nrerror("allocation failure 1 in matrix()"); 
           for(m=-1, pos=0; m <=0 ; m++)    m += NR_END; 
             pos += freq[jk][m][i];    m -= nrl; 
         }    
            
         for(jk=1; jk <=nlstate ; jk++){    /* allocate rows and set pointers to them */ 
           for(m=0, pp[jk]=0; m <=nlstate+ndeath; m++)    m[nrl]=(int *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(int))); 
             pp[jk] += freq[jk][m][i];    if (!m[nrl]) nrerror("allocation failure 2 in matrix()"); 
         }    m[nrl] += NR_END; 
            m[nrl] -= ncl; 
         for(jk=1,pos=0; jk <=nlstate ; jk++) pos += pp[jk];    
            for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol; 
         for(jk=1; jk <=nlstate ; jk++){        
           if( i <= (int) agemax){    /* return pointer to array of pointers to rows */ 
             if(pos>=1.e-5){    return m; 
               probs[i][jk][j1]= pp[jk]/pos;  } 
             }  
           }  /****************** free_imatrix *************************/
         }  void free_imatrix(m,nrl,nrh,ncl,nch)
                int **m;
       }        long nch,ncl,nrh,nrl; 
     }       /* free an int matrix allocated by imatrix() */ 
   }  { 
     free((FREE_ARG) (m[nrl]+ncl-NR_END)); 
      free((FREE_ARG) (m+nrl-NR_END)); 
   free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath,(int) agemin,(int) agemax+3);  } 
   free_vector(pp,1,nlstate);  
    /******************* matrix *******************************/
 }  /* End of Freq */  double **matrix(long nrl, long nrh, long ncl, long nch)
   {
 /************* Waves Concatenation ***************/    long i, nrow=nrh-nrl+1, ncol=nch-ncl+1;
     double **m;
 void  concatwav(int wav[], int **dh, int **mw, int **s, double *agedc, double **agev, int  firstpass, int lastpass, int imx, int nlstate, int stepm)  
 {    m=(double **) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
   /* Concatenates waves: wav[i] is the number of effective (useful waves) of individual i.    if (!m) nrerror("allocation failure 1 in matrix()");
      Death is a valid wave (if date is known).    m += NR_END;
      mw[mi][i] is the mi (mi=1 to wav[i])  effective wave of individual i    m -= nrl;
      dh[m][i] of dh[mw[mi][i][i] is the delay between two effective waves m=mw[mi][i]  
      and mw[mi+1][i]. dh depends on stepm.    m[nrl]=(double *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
      */    if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
     m[nrl] += NR_END;
   int i, mi, m;    m[nrl] -= ncl;
   /* int j, k=0,jk, ju, jl,jmin=1e+5, jmax=-1;  
      double sum=0., jmean=0.;*/    for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
     return m;
   int j, k=0,jk, ju, jl;    /* print *(*(m+1)+70) or print m[1][70]; print m+1 or print &(m[1]) or &(m[1][0])
   double sum=0.;  m[i] = address of ith row of the table. &(m[i]) is its value which is another adress
   jmin=1e+5;  that of m[i][0]. In order to get the value p m[i][0] but it is unitialized.
   jmax=-1;     */
   jmean=0.;  }
   for(i=1; i<=imx; i++){  
     mi=0;  /*************************free matrix ************************/
     m=firstpass;  void free_matrix(double **m, long nrl, long nrh, long ncl, long nch)
     while(s[m][i] <= nlstate){  {
       if(s[m][i]>=1)    free((FREE_ARG)(m[nrl]+ncl-NR_END));
         mw[++mi][i]=m;    free((FREE_ARG)(m+nrl-NR_END));
       if(m >=lastpass)  }
         break;  
       else  /******************* ma3x *******************************/
         m++;  double ***ma3x(long nrl, long nrh, long ncl, long nch, long nll, long nlh)
     }/* end while */  {
     if (s[m][i] > nlstate){    long i, j, nrow=nrh-nrl+1, ncol=nch-ncl+1, nlay=nlh-nll+1;
       mi++;     /* Death is another wave */    double ***m;
       /* if(mi==0)  never been interviewed correctly before death */  
          /* Only death is a correct wave */    m=(double ***) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
       mw[mi][i]=m;    if (!m) nrerror("allocation failure 1 in matrix()");
     }    m += NR_END;
     m -= nrl;
     wav[i]=mi;  
     if(mi==0)    m[nrl]=(double **) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
       printf("Warning, no any valid information for:%d line=%d\n",num[i],i);    if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
   }    m[nrl] += NR_END;
     m[nrl] -= ncl;
   for(i=1; i<=imx; i++){  
     for(mi=1; mi<wav[i];mi++){    for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
       if (stepm <=0)  
         dh[mi][i]=1;    m[nrl][ncl]=(double *) malloc((size_t)((nrow*ncol*nlay+NR_END)*sizeof(double)));
       else{    if (!m[nrl][ncl]) nrerror("allocation failure 3 in matrix()");
         if (s[mw[mi+1][i]][i] > nlstate) {    m[nrl][ncl] += NR_END;
           if (agedc[i] < 2*AGESUP) {    m[nrl][ncl] -= nll;
           j= rint(agedc[i]*12-agev[mw[mi][i]][i]*12);    for (j=ncl+1; j<=nch; j++) 
           if(j==0) j=1;  /* Survives at least one month after exam */      m[nrl][j]=m[nrl][j-1]+nlay;
           k=k+1;    
           if (j >= jmax) jmax=j;    for (i=nrl+1; i<=nrh; i++) {
           if (j <= jmin) jmin=j;      m[i][ncl]=m[i-1l][ncl]+ncol*nlay;
           sum=sum+j;      for (j=ncl+1; j<=nch; j++) 
           /*if (j<0) printf("j=%d num=%d \n",j,i); */        m[i][j]=m[i][j-1]+nlay;
           }    }
         }    return m; 
         else{    /*  gdb: p *(m+1) <=> p m[1] and p (m+1) <=> p (m+1) <=> p &(m[1])
           j= rint( (agev[mw[mi+1][i]][i]*12 - agev[mw[mi][i]][i]*12));             &(m[i][j][k]) <=> *((*(m+i) + j)+k)
           k=k+1;    */
           if (j >= jmax) jmax=j;  }
           else if (j <= jmin)jmin=j;  
           /*        if (j<10) printf("j=%d jmin=%d num=%d ",j,jmin,i); */  /*************************free ma3x ************************/
           sum=sum+j;  void free_ma3x(double ***m, long nrl, long nrh, long ncl, long nch,long nll, long nlh)
         }  {
         jk= j/stepm;    free((FREE_ARG)(m[nrl][ncl]+ nll-NR_END));
         jl= j -jk*stepm;    free((FREE_ARG)(m[nrl]+ncl-NR_END));
         ju= j -(jk+1)*stepm;    free((FREE_ARG)(m+nrl-NR_END));
         if(jl <= -ju)  }
           dh[mi][i]=jk;  
         else  /*************** function subdirf ***********/
           dh[mi][i]=jk+1;  char *subdirf(char fileres[])
         if(dh[mi][i]==0)  {
           dh[mi][i]=1; /* At least one step */    /* Caution optionfilefiname is hidden */
       }    strcpy(tmpout,optionfilefiname);
     }    strcat(tmpout,"/"); /* Add to the right */
   }    strcat(tmpout,fileres);
   jmean=sum/k;    return tmpout;
   printf("Delay (in months) between two waves Min=%d Max=%d Mean=%f\n\n ",jmin, jmax,jmean);  }
  }  
 /*********** Tricode ****************************/  /*************** function subdirf2 ***********/
 void tricode(int *Tvar, int **nbcode, int imx)  char *subdirf2(char fileres[], char *preop)
 {  {
   int Ndum[20],ij=1, k, j, i;    
   int cptcode=0;    /* Caution optionfilefiname is hidden */
   cptcoveff=0;    strcpy(tmpout,optionfilefiname);
      strcat(tmpout,"/");
   for (k=0; k<19; k++) Ndum[k]=0;    strcat(tmpout,preop);
   for (k=1; k<=7; k++) ncodemax[k]=0;    strcat(tmpout,fileres);
     return tmpout;
   for (j=1; j<=(cptcovn+2*cptcovprod); j++) {  }
     for (i=1; i<=imx; i++) {  
       ij=(int)(covar[Tvar[j]][i]);  /*************** function subdirf3 ***********/
       Ndum[ij]++;  char *subdirf3(char fileres[], char *preop, char *preop2)
       /*printf("i=%d ij=%d Ndum[ij]=%d imx=%d",i,ij,Ndum[ij],imx);*/  {
       if (ij > cptcode) cptcode=ij;    
     }    /* Caution optionfilefiname is hidden */
     strcpy(tmpout,optionfilefiname);
     for (i=0; i<=cptcode; i++) {    strcat(tmpout,"/");
       if(Ndum[i]!=0) ncodemax[j]++;    strcat(tmpout,preop);
     }    strcat(tmpout,preop2);
     ij=1;    strcat(tmpout,fileres);
     return tmpout;
   }
     for (i=1; i<=ncodemax[j]; i++) {   
       for (k=0; k<=19; k++) {  /*************** function subdirfext ***********/
         if (Ndum[k] != 0) {  char *subdirfext(char fileres[], char *preop, char *postop)
           nbcode[Tvar[j]][ij]=k;  {
              
           ij++;    strcpy(tmpout,preop);
         }    strcat(tmpout,fileres);
         if (ij > ncodemax[j]) break;    strcat(tmpout,postop);
       }      return tmpout;
     }  }
   }    
   /*************** function subdirfext3 ***********/
  for (k=0; k<19; k++) Ndum[k]=0;  char *subdirfext3(char fileres[], char *preop, char *postop)
   {
  for (i=1; i<=ncovmodel-2; i++) {    
       ij=Tvar[i];    /* Caution optionfilefiname is hidden */
       Ndum[ij]++;    strcpy(tmpout,optionfilefiname);
     }    strcat(tmpout,"/");
     strcat(tmpout,preop);
  ij=1;    strcat(tmpout,fileres);
  for (i=1; i<=10; i++) {    strcat(tmpout,postop);
    if((Ndum[i]!=0) && (i<=ncovcol)){    return tmpout;
      Tvaraff[ij]=i;  }
      ij++;   
    }  char *asc_diff_time(long time_sec, char ascdiff[])
  }  {
      long sec_left, days, hours, minutes;
     cptcoveff=ij-1;    days = (time_sec) / (60*60*24);
 }    sec_left = (time_sec) % (60*60*24);
     hours = (sec_left) / (60*60) ;
 /*********** Health Expectancies ****************/    sec_left = (sec_left) %(60*60);
     minutes = (sec_left) /60;
 void evsij(char fileres[], double ***eij, double x[], int nlstate, int stepm, int bage, int fage, double **oldm, double **savm, int ij, int estepm,double delti[],double **matcov )    sec_left = (sec_left) % (60);
     sprintf(ascdiff,"%ld day(s) %ld hour(s) %ld minute(s) %ld second(s)",days, hours, minutes, sec_left);  
 {    return ascdiff;
   /* Health expectancies */  }
   int i, j, nhstepm, hstepm, h, nstepm, k, cptj;  
   double age, agelim, hf;  /***************** f1dim *************************/
   double ***p3mat,***varhe;  extern int ncom; 
   double **dnewm,**doldm;  extern double *pcom,*xicom;
   double *xp;  extern double (*nrfunc)(double []); 
   double **gp, **gm;   
   double ***gradg, ***trgradg;  double f1dim(double x) 
   int theta;  { 
     int j; 
   varhe=ma3x(1,nlstate*2,1,nlstate*2,(int) bage, (int) fage);    double f;
   xp=vector(1,npar);    double *xt; 
   dnewm=matrix(1,nlstate*2,1,npar);   
   doldm=matrix(1,nlstate*2,1,nlstate*2);    xt=vector(1,ncom); 
      for (j=1;j<=ncom;j++) xt[j]=pcom[j]+x*xicom[j]; 
   fprintf(ficreseij,"# Health expectancies\n");    f=(*nrfunc)(xt); 
   fprintf(ficreseij,"# Age");    free_vector(xt,1,ncom); 
   for(i=1; i<=nlstate;i++)    return f; 
     for(j=1; j<=nlstate;j++)  } 
       fprintf(ficreseij," %1d-%1d (SE)",i,j);  
   fprintf(ficreseij,"\n");  /*****************brent *************************/
   double brent(double ax, double bx, double cx, double (*f)(double), double tol,  double *xmin) 
   if(estepm < stepm){  {
     printf ("Problem %d lower than %d\n",estepm, stepm);    /* Given a function f, and given a bracketing triplet of abscissas ax, bx, cx (such that bx is
   }     * between ax and cx, and f(bx) is less than both f(ax) and f(cx) ), this routine isolates
   else  hstepm=estepm;       * the minimum to a fractional precision of about tol using Brent’s method. The abscissa of
   /* We compute the life expectancy from trapezoids spaced every estepm months     * the minimum is returned as xmin, and the minimum function value is returned as brent , the
    * This is mainly to measure the difference between two models: for example     * returned function value. 
    * 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    int iter; 
    * progression inbetween and thus overestimating or underestimating according    double a,b,d,etemp;
    * to the curvature of the survival function. If, for the same date, we    double fu=0,fv,fw,fx;
    * estimate the model with stepm=1 month, we can keep estepm to 24 months    double ftemp=0.;
    * to compare the new estimate of Life expectancy with the same linear    double p,q,r,tol1,tol2,u,v,w,x,xm; 
    * hypothesis. A more precise result, taking into account a more precise    double e=0.0; 
    * curvature will be obtained if estepm is as small as stepm. */   
     a=(ax < cx ? ax : cx); 
   /* For example we decided to compute the life expectancy with the smallest unit */    b=(ax > cx ? ax : cx); 
   /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm.    x=w=v=bx; 
      nhstepm is the number of hstepm from age to agelim    fw=fv=fx=(*f)(x); 
      nstepm is the number of stepm from age to agelin.    for (iter=1;iter<=ITMAX;iter++) { 
      Look at hpijx to understand the reason of that which relies in memory size      xm=0.5*(a+b); 
      and note for a fixed period like estepm months */      tol2=2.0*(tol1=tol*fabs(x)+ZEPS); 
   /* We decided (b) to get a life expectancy respecting the most precise curvature of the      /*          if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret)))*/
      survival function given by stepm (the optimization length). Unfortunately it      printf(".");fflush(stdout);
      means that if the survival funtion is printed only each two years of age and if      fprintf(ficlog,".");fflush(ficlog);
      you sum them up and add 1 year (area under the trapezoids) you won't get the same  #ifdef DEBUGBRENT
      results. So we changed our mind and took the option of the best precision.      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);
   hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */      /*          if ((fabs(x-xm) <= (tol2-0.5*(b-a)))||(2.0*fabs(fu-ftemp) <= ftol*1.e-2*(fabs(fu)+fabs(ftemp)))) { */
   #endif
   agelim=AGESUP;      if (fabs(x-xm) <= (tol2-0.5*(b-a))){ 
   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */        *xmin=x; 
     /* nhstepm age range expressed in number of stepm */        return fx; 
     nstepm=(int) rint((agelim-age)*YEARM/stepm);      } 
     /* Typically if 20 years nstepm = 20*12/6=40 stepm */      ftemp=fu;
     /* if (stepm >= YEARM) hstepm=1;*/      if (fabs(e) > tol1) { 
     nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */        r=(x-w)*(fx-fv); 
     p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);        q=(x-v)*(fx-fw); 
     gradg=ma3x(0,nhstepm,1,npar,1,nlstate*2);        p=(x-v)*q-(x-w)*r; 
     gp=matrix(0,nhstepm,1,nlstate*2);        q=2.0*(q-r); 
     gm=matrix(0,nhstepm,1,nlstate*2);        if (q > 0.0) p = -p; 
         q=fabs(q); 
     /* Computed by stepm unit matrices, product of hstepm matrices, stored        etemp=e; 
        in an array of nhstepm length: nhstepm=10, hstepm=4, stepm=6 months */        e=d; 
     hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm, savm, ij);          if (fabs(p) >= fabs(0.5*q*etemp) || p <= q*(a-x) || p >= q*(b-x)) 
                                    d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
         else { 
     hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */                                  d=p/q; 
                                   u=x+d; 
     /* Computing Variances of health expectancies */                                  if (u-a < tol2 || b-u < tol2) 
                                           d=SIGN(tol1,xm-x); 
      for(theta=1; theta <=npar; theta++){        } 
       for(i=1; i<=npar; i++){      } else { 
         xp[i] = x[i] + (i==theta ?delti[theta]:0);        d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
       }      } 
       hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);        u=(fabs(d) >= tol1 ? x+d : x+SIGN(tol1,d)); 
        fu=(*f)(u); 
       cptj=0;      if (fu <= fx) { 
       for(j=1; j<= nlstate; j++){        if (u >= x) a=x; else b=x; 
         for(i=1; i<=nlstate; i++){        SHFT(v,w,x,u) 
           cptj=cptj+1;        SHFT(fv,fw,fx,fu) 
           for(h=0, gp[h][cptj]=0.; h<=nhstepm-1; h++){      } else { 
             gp[h][cptj] = (p3mat[i][j][h]+p3mat[i][j][h+1])/2.;        if (u < x) a=u; else b=u; 
           }        if (fu <= fw || w == x) { 
         }                                  v=w; 
       }                                  w=u; 
                                        fv=fw; 
                                        fw=fu; 
       for(i=1; i<=npar; i++)        } else if (fu <= fv || v == x || v == w) { 
         xp[i] = x[i] - (i==theta ?delti[theta]:0);                                  v=u; 
       hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);                                    fv=fu; 
              } 
       cptj=0;      } 
       for(j=1; j<= nlstate; j++){    } 
         for(i=1;i<=nlstate;i++){    nrerror("Too many iterations in brent"); 
           cptj=cptj+1;    *xmin=x; 
           for(h=0, gm[h][cptj]=0.; h<=nhstepm-1; h++){    return fx; 
             gm[h][cptj] = (p3mat[i][j][h]+p3mat[i][j][h+1])/2.;  } 
           }  
         }  /****************** mnbrak ***********************/
       }  
       for(j=1; j<= nlstate*2; j++)  void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, double *fc, 
         for(h=0; h<=nhstepm-1; h++){              double (*func)(double)) 
           gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta];  { /* Given a function func , and given distinct initial points ax and bx , this routine searches in
         }  the downhill direction (defined by the function as evaluated at the initial points) and returns
      }  new points ax , bx , cx that bracket a minimum of the function. Also returned are the function
      values at the three points, fa, fb , and fc such that fa > fb and fb < fc.
 /* End theta */     */
     double ulim,u,r,q, dum;
      trgradg =ma3x(0,nhstepm,1,nlstate*2,1,npar);    double fu; 
   
      for(h=0; h<=nhstepm-1; h++)    double scale=10.;
       for(j=1; j<=nlstate*2;j++)    int iterscale=0;
         for(theta=1; theta <=npar; theta++)  
           trgradg[h][j][theta]=gradg[h][theta][j];    *fa=(*func)(*ax); /*  xta[j]=pcom[j]+(*ax)*xicom[j]; fa=f(xta[j])*/
          *fb=(*func)(*bx); /*  xtb[j]=pcom[j]+(*bx)*xicom[j]; fb=f(xtb[j]) */
   
      for(i=1;i<=nlstate*2;i++)  
       for(j=1;j<=nlstate*2;j++)    /* while(*fb != *fb){ /\* *ax should be ok, reducing distance to *ax *\/ */
         varhe[i][j][(int)age] =0.;    /*   printf("Warning mnbrak *fb = %lf, *bx=%lf *ax=%lf *fa==%lf iter=%d\n",*fb, *bx, *ax, *fa, iterscale++); */
     /*   *bx = *ax - (*ax - *bx)/scale; */
      printf("%d|",(int)age);fflush(stdout);    /*   *fb=(*func)(*bx);  /\*  xtb[j]=pcom[j]+(*bx)*xicom[j]; fb=f(xtb[j]) *\/ */
      for(h=0;h<=nhstepm-1;h++){    /* } */
       for(k=0;k<=nhstepm-1;k++){  
         matprod2(dnewm,trgradg[h],1,nlstate*2,1,npar,1,npar,matcov);    if (*fb > *fa) { 
         matprod2(doldm,dnewm,1,nlstate*2,1,npar,1,nlstate*2,gradg[k]);      SHFT(dum,*ax,*bx,dum) 
         for(i=1;i<=nlstate*2;i++)      SHFT(dum,*fb,*fa,dum) 
           for(j=1;j<=nlstate*2;j++)    } 
             varhe[i][j][(int)age] += doldm[i][j]*hf*hf;    *cx=(*bx)+GOLD*(*bx-*ax); 
       }    *fc=(*func)(*cx); 
     }  #ifdef DEBUG
     /* Computing expectancies */    printf("mnbrak0 a=%lf *fa=%lf, b=%lf *fb=%lf, c=%lf *fc=%lf\n",*ax,*fa,*bx,*fb,*cx, *fc);
     for(i=1; i<=nlstate;i++)    fprintf(ficlog,"mnbrak0 a=%lf *fa=%lf, b=%lf *fb=%lf, c=%lf *fc=%lf\n",*ax,*fa,*bx,*fb,*cx, *fc);
       for(j=1; j<=nlstate;j++)  #endif
         for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){    while (*fb > *fc) { /* Declining a,b,c with fa> fb > fc. If fc=inf it exits and if flat fb=fc it exits too.*/
           eij[i][j][(int)age] += (p3mat[i][j][h]+p3mat[i][j][h+1])/2.0*hf;      r=(*bx-*ax)*(*fb-*fc); 
                q=(*bx-*cx)*(*fb-*fa); /* What if fa=inf */
 /* 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]);*/      u=(*bx)-((*bx-*cx)*q-(*bx-*ax)*r)/ 
         (2.0*SIGN(FMAX(fabs(q-r),TINY),q-r)); /* Minimum abscissa of a parabolic estimated from (a,fa), (b,fb) and (c,fc). */
         }      ulim=(*bx)+GLIMIT*(*cx-*bx); /* Maximum abscissa where function should be evaluated */
       if ((*bx-u)*(u-*cx) > 0.0) { /* if u_p is between b and c */
     fprintf(ficreseij,"%3.0f",age );        fu=(*func)(u); 
     cptj=0;  #ifdef DEBUG
     for(i=1; i<=nlstate;i++)        /* f(x)=A(x-u)**2+f(u) */
       for(j=1; j<=nlstate;j++){        double A, fparabu; 
         cptj++;        A= (*fb - *fa)/(*bx-*ax)/(*bx+*ax-2*u);
         fprintf(ficreseij," %9.4f (%.4f)", eij[i][j][(int)age], sqrt(varhe[cptj][cptj][(int)age]) );        fparabu= *fa - A*(*ax-u)*(*ax-u);
       }        printf("\nmnbrak (*ax=%.12f, *fa=%.12lf), (*bx=%.12f, *fb=%.12lf), (*cx=%.12f, *fc=%.12lf),  (*u=%.12f, fu=%.12lf, fparabu=%.12f, q=%lf < %lf=r)\n",*ax,*fa,*bx,*fb,*cx,*fc,u,fu, fparabu,q,r);
     fprintf(ficreseij,"\n");        fprintf(ficlog,"\nmnbrak (*ax=%.12f, *fa=%.12lf), (*bx=%.12f, *fb=%.12lf), (*cx=%.12f, *fc=%.12lf),  (*u=%.12f, fu=%.12lf, fparabu=%.12f, q=%lf < %lf=r)\n",*ax,*fa,*bx,*fb,*cx,*fc,u,fu, fparabu,q,r);
            /* And thus,it can be that fu > *fc even if fparabu < *fc */
     free_matrix(gm,0,nhstepm,1,nlstate*2);        /* mnbrak (*ax=7.666299858533, *fa=299039.693133272231), (*bx=8.595447774979, *fb=298976.598289369489),
     free_matrix(gp,0,nhstepm,1,nlstate*2);          (*cx=10.098840694817, *fc=298946.631474258087),  (*u=9.852501168332, fu=298948.773013752128, fparabu=298945.434711494134) */
     free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate*2);        /* In that case, there is no bracket in the output! Routine is wrong with many consequences.*/
     free_ma3x(trgradg,0,nhstepm,1,nlstate*2,1,npar);  #endif 
     free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);  #ifdef MNBRAKORIGINAL
   }  #else
   printf("\n");  /*       if (fu > *fc) { */
   /* #ifdef DEBUG */
   free_vector(xp,1,npar);  /*       printf("mnbrak4  fu > fc \n"); */
   free_matrix(dnewm,1,nlstate*2,1,npar);  /*       fprintf(ficlog, "mnbrak4 fu > fc\n"); */
   free_matrix(doldm,1,nlstate*2,1,nlstate*2);  /* #endif */
   free_ma3x(varhe,1,nlstate*2,1,nlstate*2,(int) bage, (int)fage);  /*      /\* SHFT(u,*cx,*cx,u) /\\* ie a=c, c=u and u=c; in that case, next SHFT(a,b,c,u) will give a=b=b, b=c=u, c=u=c and *\\/  *\/ */
 }  /*      /\* SHFT(*fa,*fc,fu,*fc) /\\* (b, u, c) is a bracket while test fb > fc will be fu > fc  will exit *\\/ *\/ */
   /*      dum=u; /\* Shifting c and u *\/ */
 /************ Variance ******************/  /*      u = *cx; */
 void varevsij(char fileres[], double ***vareij, double **matcov, double x[], double delti[], int nlstate, int stepm, double bage, double fage, double **oldm, double **savm, double **prlim, double ftolpl, int ij, int estepm)  /*      *cx = dum; */
 {  /*      dum = fu; */
   /* Variance of health expectancies */  /*      fu = *fc; */
   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);*/  /*      *fc =dum; */
   double **newm;  /*       } else { /\* end *\/ */
   double **dnewm,**doldm;  /* #ifdef DEBUG */
   int i, j, nhstepm, hstepm, h, nstepm ;  /*       printf("mnbrak3  fu < fc \n"); */
   int k, cptcode;  /*       fprintf(ficlog, "mnbrak3 fu < fc\n"); */
   double *xp;  /* #endif */
   double **gp, **gm;  /*      dum=u; /\* Shifting c and u *\/ */
   double ***gradg, ***trgradg;  /*      u = *cx; */
   double ***p3mat;  /*      *cx = dum; */
   double age,agelim, hf;  /*      dum = fu; */
   int theta;  /*      fu = *fc; */
   /*      *fc =dum; */
   fprintf(ficresvij,"# Variance and covariance of health expectancies e.j \n#  (weighted average of eij where weights are the stable prevalence in health states i\n");  /*       } */
   fprintf(ficresvij,"# Age");  #ifdef DEBUGMNBRAK
   for(i=1; i<=nlstate;i++)                   double A, fparabu; 
     for(j=1; j<=nlstate;j++)       A= (*fb - *fa)/(*bx-*ax)/(*bx+*ax-2*u);
       fprintf(ficresvij," Cov(e%1d, e%1d)",i,j);       fparabu= *fa - A*(*ax-u)*(*ax-u);
   fprintf(ficresvij,"\n");       printf("\nmnbrak35 ax=%lf fa=%lf bx=%lf fb=%lf, u=%lf fp=%lf fu=%lf < or >= fc=%lf cx=%lf, q=%lf < %lf=r \n",*ax, *fa, *bx,*fb,u,fparabu,fu,*fc,*cx,q,r);
        fprintf(ficlog,"\nmnbrak35 ax=%lf fa=%lf bx=%lf fb=%lf, u=%lf fp=%lf fu=%lf < or >= fc=%lf cx=%lf, q=%lf < %lf=r \n",*ax, *fa, *bx,*fb,u,fparabu,fu,*fc,*cx,q,r);
   xp=vector(1,npar);  #endif
   dnewm=matrix(1,nlstate,1,npar);        dum=u; /* Shifting c and u */
   doldm=matrix(1,nlstate,1,nlstate);        u = *cx;
          *cx = dum;
   if(estepm < stepm){        dum = fu;
     printf ("Problem %d lower than %d\n",estepm, stepm);        fu = *fc;
   }        *fc =dum;
   else  hstepm=estepm;    #endif
   /* For example we decided to compute the life expectancy with the smallest unit */      } else if ((*cx-u)*(u-ulim) > 0.0) { /* u is after c but before ulim */
   /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm.  #ifdef DEBUG
      nhstepm is the number of hstepm from age to agelim        printf("\nmnbrak2  u=%lf after c=%lf but before ulim\n",u,*cx);
      nstepm is the number of stepm from age to agelin.        fprintf(ficlog,"\nmnbrak2  u=%lf after c=%lf but before ulim\n",u,*cx);
      Look at hpijx to understand the reason of that which relies in memory size  #endif
      and note for a fixed period like k years */        fu=(*func)(u); 
   /* We decided (b) to get a life expectancy respecting the most precise curvature of the        if (fu < *fc) { 
      survival function given by stepm (the optimization length). Unfortunately it  #ifdef DEBUG
      means that if the survival funtion is printed only each two years of age and if                                  printf("\nmnbrak2  u=%lf after c=%lf but before ulim=%lf AND fu=%lf < %lf=fc\n",u,*cx,ulim,fu, *fc);
      you sum them up and add 1 year (area under the trapezoids) you won't get the same                            fprintf(ficlog,"\nmnbrak2  u=%lf after c=%lf but before ulim=%lf AND fu=%lf < %lf=fc\n",u,*cx,ulim,fu, *fc);
      results. So we changed our mind and took the option of the best precision.  #endif
   */                            SHFT(*bx,*cx,u,*cx+GOLD*(*cx-*bx)) 
   hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */                                  SHFT(*fb,*fc,fu,(*func)(u)) 
   agelim = AGESUP;  #ifdef DEBUG
   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */                                          printf("\nmnbrak2 shift GOLD c=%lf",*cx+GOLD*(*cx-*bx));
     nstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */  #endif
     nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */        } 
     p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);      } else if ((u-ulim)*(ulim-*cx) >= 0.0) { /* u outside ulim (verifying that ulim is beyond c) */
     gradg=ma3x(0,nhstepm,1,npar,1,nlstate);  #ifdef DEBUG
     gp=matrix(0,nhstepm,1,nlstate);        printf("\nmnbrak2  u=%lf outside ulim=%lf (verifying that ulim is beyond c=%lf)\n",u,ulim,*cx);
     gm=matrix(0,nhstepm,1,nlstate);        fprintf(ficlog,"\nmnbrak2  u=%lf outside ulim=%lf (verifying that ulim is beyond c=%lf)\n",u,ulim,*cx);
   #endif
     for(theta=1; theta <=npar; theta++){        u=ulim; 
       for(i=1; i<=npar; i++){ /* Computes gradient */        fu=(*func)(u); 
         xp[i] = x[i] + (i==theta ?delti[theta]:0);      } else { /* u could be left to b (if r > q parabola has a maximum) */
       }  #ifdef DEBUG
       hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);          printf("\nmnbrak2  u=%lf could be left to b=%lf (if r=%lf > q=%lf parabola has a maximum)\n",u,*bx,r,q);
       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);        fprintf(ficlog,"\nmnbrak2  u=%lf could be left to b=%lf (if r=%lf > q=%lf parabola has a maximum)\n",u,*bx,r,q);
   #endif
       if (popbased==1) {        u=(*cx)+GOLD*(*cx-*bx); 
         for(i=1; i<=nlstate;i++)        fu=(*func)(u); 
           prlim[i][i]=probs[(int)age][i][ij];  #ifdef DEBUG
       }        printf("\nmnbrak2 new u=%lf fu=%lf shifted gold left from c=%lf and b=%lf \n",u,fu,*cx,*bx);
          fprintf(ficlog,"\nmnbrak2 new u=%lf fu=%lf shifted gold left from c=%lf and b=%lf \n",u,fu,*cx,*bx);
       for(j=1; j<= nlstate; j++){  #endif
         for(h=0; h<=nhstepm; h++){      } /* end tests */
           for(i=1, gp[h][j]=0.;i<=nlstate;i++)      SHFT(*ax,*bx,*cx,u) 
             gp[h][j] += prlim[i][i]*p3mat[i][j][h];      SHFT(*fa,*fb,*fc,fu) 
         }  #ifdef DEBUG
       }        printf("\nmnbrak2 shift (*ax=%.12f, *fa=%.12lf), (*bx=%.12f, *fb=%.12lf), (*cx=%.12f, *fc=%.12lf)\n",*ax,*fa,*bx,*fb,*cx,*fc);
            fprintf(ficlog, "\nmnbrak2 shift (*ax=%.12f, *fa=%.12lf), (*bx=%.12f, *fb=%.12lf), (*cx=%.12f, *fc=%.12lf)\n",*ax,*fa,*bx,*fb,*cx,*fc);
       for(i=1; i<=npar; i++) /* Computes gradient */  #endif
         xp[i] = x[i] - (i==theta ?delti[theta]:0);    } /* end while; ie return (a, b, c, fa, fb, fc) such that a < b < c with f(a) > f(b) and fb < f(c) */
       hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);    } 
       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);  
    /*************** linmin ************************/
       if (popbased==1) {  /* Given an n -dimensional point p[1..n] and an n -dimensional direction xi[1..n] , moves and
         for(i=1; i<=nlstate;i++)  resets p to where the function func(p) takes on a minimum along the direction xi from p ,
           prlim[i][i]=probs[(int)age][i][ij];  and replaces xi by the actual vector displacement that p was moved. Also returns as fret
       }  the value of func at the returned location p . This is actually all accomplished by calling the
   routines mnbrak and brent .*/
       for(j=1; j<= nlstate; j++){  int ncom; 
         for(h=0; h<=nhstepm; h++){  double *pcom,*xicom;
           for(i=1, gm[h][j]=0.;i<=nlstate;i++)  double (*nrfunc)(double []); 
             gm[h][j] += prlim[i][i]*p3mat[i][j][h];   
         }  #ifdef LINMINORIGINAL
       }  void linmin(double p[], double xi[], int n, double *fret,double (*func)(double [])) 
   #else
       for(j=1; j<= nlstate; j++)  void linmin(double p[], double xi[], int n, double *fret,double (*func)(double []), int *flat) 
         for(h=0; h<=nhstepm; h++){  #endif
           gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta];  { 
         }    double brent(double ax, double bx, double cx, 
     } /* End theta */                 double (*f)(double), double tol, double *xmin); 
     double f1dim(double x); 
     trgradg =ma3x(0,nhstepm,1,nlstate,1,npar);    void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, 
                 double *fc, double (*func)(double)); 
     for(h=0; h<=nhstepm; h++)    int j; 
       for(j=1; j<=nlstate;j++)    double xx,xmin,bx,ax; 
         for(theta=1; theta <=npar; theta++)    double fx,fb,fa;
           trgradg[h][j][theta]=gradg[h][theta][j];  
   #ifdef LINMINORIGINAL
     hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */  #else
     for(i=1;i<=nlstate;i++)    double scale=10., axs, xxs; /* Scale added for infinity */
       for(j=1;j<=nlstate;j++)  #endif
         vareij[i][j][(int)age] =0.;    
     ncom=n; 
     for(h=0;h<=nhstepm;h++){    pcom=vector(1,n); 
       for(k=0;k<=nhstepm;k++){    xicom=vector(1,n); 
         matprod2(dnewm,trgradg[h],1,nlstate,1,npar,1,npar,matcov);    nrfunc=func; 
         matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg[k]);    for (j=1;j<=n;j++) { 
         for(i=1;i<=nlstate;i++)      pcom[j]=p[j]; 
           for(j=1;j<=nlstate;j++)      xicom[j]=xi[j]; /* Former scale xi[j] of currrent direction i */
             vareij[i][j][(int)age] += doldm[i][j]*hf*hf;    } 
       }  
     }  #ifdef LINMINORIGINAL
     xx=1.;
     fprintf(ficresvij,"%.0f ",age );  #else
     for(i=1; i<=nlstate;i++)    axs=0.0;
       for(j=1; j<=nlstate;j++){    xxs=1.;
         fprintf(ficresvij," %.4f", vareij[i][j][(int)age]);    do{
       }      xx= xxs;
     fprintf(ficresvij,"\n");  #endif
     free_matrix(gp,0,nhstepm,1,nlstate);      ax=0.;
     free_matrix(gm,0,nhstepm,1,nlstate);      mnbrak(&ax,&xx,&bx,&fa,&fx,&fb,f1dim);  /* Outputs: xtx[j]=pcom[j]+(*xx)*xicom[j]; fx=f(xtx[j]) */
     free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate);      /* brackets with inputs ax=0 and xx=1, but points, pcom=p, and directions values, xicom=xi, are sent via f1dim(x) */
     free_ma3x(trgradg,0,nhstepm,1,nlstate,1,npar);      /* xt[x,j]=pcom[j]+x*xicom[j]  f(ax) = f(xt(a,j=1,n)) = f(p(j) + 0 * xi(j)) and  f(xx) = f(xt(x, j=1,n)) = f(p(j) + 1 * xi(j))   */
     free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);      /* Outputs: fa=f(p(j)) and fx=f(p(j) + xxs * xi(j) ) and f(bx)= f(p(j)+ bx* xi(j)) */
   } /* End age */      /* Given input ax=axs and xx=xxs, xx might be too far from ax to get a finite f(xx) */
        /* Searches on line, outputs (ax, xx, bx) such that fx < min(fa and fb) */
   free_vector(xp,1,npar);      /* Find a bracket a,x,b in direction n=xi ie xicom, order may change. Scale is [0:xxs*xi[j]] et non plus  [0:xi[j]]*/
   free_matrix(doldm,1,nlstate,1,npar);  #ifdef LINMINORIGINAL
   free_matrix(dnewm,1,nlstate,1,nlstate);  #else
       if (fx != fx){
 }                          xxs=xxs/scale; /* Trying a smaller xx, closer to initial ax=0 */
                           printf("|");
 /************ Variance of prevlim ******************/                          fprintf(ficlog,"|");
 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)  #ifdef DEBUGLINMIN
 {                          printf("\nLinmin NAN : input [axs=%lf:xxs=%lf], mnbrak outputs fx=%lf <(fb=%lf and fa=%lf) with xx=%lf in [ax=%lf:bx=%lf] \n",  axs, xxs, fx,fb, fa, xx, ax, bx);
   /* Variance of prevalence limit */  #endif
   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);*/      }
   double **newm;    }while(fx != fx && xxs > 1.e-5);
   double **dnewm,**doldm;  #endif
   int i, j, nhstepm, hstepm;    
   int k, cptcode;  #ifdef DEBUGLINMIN
   double *xp;    printf("\nLinmin after mnbrak: ax=%12.7f xx=%12.7f bx=%12.7f fa=%12.2f fx=%12.2f fb=%12.2f\n",  ax,xx,bx,fa,fx,fb);
   double *gp, *gm;    fprintf(ficlog,"\nLinmin after mnbrak: ax=%12.7f xx=%12.7f bx=%12.7f fa=%12.2f fx=%12.2f fb=%12.2f\n",  ax,xx,bx,fa,fx,fb);
   double **gradg, **trgradg;  #endif
   double age,agelim;  #ifdef LINMINORIGINAL
   int theta;  #else
              if(fb == fx){ /* Flat function in the direction */
   fprintf(ficresvpl,"# Standard deviation of prevalence's limit\n");                  xmin=xx;
   fprintf(ficresvpl,"# Age");      *flat=1;
   for(i=1; i<=nlstate;i++)          }else{
       fprintf(ficresvpl," %1d-%1d",i,i);      *flat=0;
   fprintf(ficresvpl,"\n");  #endif
                   /*Flat mnbrak2 shift (*ax=0.000000000000, *fa=51626.272983130431), (*bx=-1.618034000000, *fb=51590.149499362531), (*cx=-4.236068025156, *fc=51590.149499362531) */
   xp=vector(1,npar);    *fret=brent(ax,xx,bx,f1dim,TOL,&xmin); /* Giving a bracketting triplet (ax, xx, bx), find a minimum, xmin, according to f1dim, *fret(xmin),*/
   dnewm=matrix(1,nlstate,1,npar);    /* fa = f(p[j] + ax * xi[j]), fx = f(p[j] + xx * xi[j]), fb = f(p[j] + bx * xi[j]) */
   doldm=matrix(1,nlstate,1,nlstate);    /* fmin = f(p[j] + xmin * xi[j]) */
      /* P+lambda n in that direction (lambdamin), with TOL between abscisses */
   hstepm=1*YEARM; /* Every year of age */    /* f1dim(xmin): for (j=1;j<=ncom;j++) xt[j]=pcom[j]+xmin*xicom[j]; */
   hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */  #ifdef DEBUG
   agelim = AGESUP;    printf("retour brent from bracket (a=%lf fa=%lf, xx=%lf fx=%lf, b=%lf fb=%lf): fret=%lf xmin=%lf\n",ax,fa,xx,fx,bx,fb,*fret,xmin);
   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */    fprintf(ficlog,"retour brent from bracket (a=%lf fa=%lf, xx=%lf fx=%lf, b=%lf fb=%lf): fret=%lf xmin=%lf\n",ax,fa,xx,fx,bx,fb,*fret,xmin);
     nhstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */  #endif
     if (stepm >= YEARM) hstepm=1;  #ifdef LINMINORIGINAL
     nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */  #else
     gradg=matrix(1,npar,1,nlstate);                          }
     gp=vector(1,nlstate);  #endif
     gm=vector(1,nlstate);  #ifdef DEBUGLINMIN
     printf("linmin end ");
     for(theta=1; theta <=npar; theta++){    fprintf(ficlog,"linmin end ");
       for(i=1; i<=npar; i++){ /* Computes gradient */  #endif
         xp[i] = x[i] + (i==theta ?delti[theta]:0);    for (j=1;j<=n;j++) { 
       }  #ifdef LINMINORIGINAL
       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);      xi[j] *= xmin; 
       for(i=1;i<=nlstate;i++)  #else
         gp[i] = prlim[i][i];  #ifdef DEBUGLINMIN
          if(xxs <1.0)
       for(i=1; i<=npar; i++) /* Computes gradient */        printf(" before xi[%d]=%12.8f", j,xi[j]);
         xp[i] = x[i] - (i==theta ?delti[theta]:0);  #endif
       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);      xi[j] *= xmin*xxs; /* xi rescaled by xmin and number of loops: if xmin=-1.237 and xi=(1,0,...,0) xi=(-1.237,0,...,0) */
       for(i=1;i<=nlstate;i++)  #ifdef DEBUGLINMIN
         gm[i] = prlim[i][i];      if(xxs <1.0)
         printf(" after xi[%d]=%12.8f, xmin=%12.8f, ax=%12.8f, xx=%12.8f, bx=%12.8f, xxs=%12.8f", j,xi[j], xmin, ax, xx, bx,xxs );
       for(i=1;i<=nlstate;i++)  #endif
         gradg[theta][i]= (gp[i]-gm[i])/2./delti[theta];  #endif
     } /* End theta */      p[j] += xi[j]; /* Parameters values are updated accordingly */
     } 
     trgradg =matrix(1,nlstate,1,npar);  #ifdef DEBUGLINMIN
     printf("\n");
     for(j=1; j<=nlstate;j++)    printf("Comparing last *frec(xmin=%12.8f)=%12.8f from Brent and frec(0.)=%12.8f \n", xmin, *fret, (*func)(p));
       for(theta=1; theta <=npar; theta++)    fprintf(ficlog,"Comparing last *frec(xmin=%12.8f)=%12.8f from Brent and frec(0.)=%12.8f \n", xmin, *fret, (*func)(p));
         trgradg[j][theta]=gradg[theta][j];    for (j=1;j<=n;j++) { 
       printf(" xi[%d]= %14.10f p[%d]= %12.7f",j,xi[j],j,p[j]);
     for(i=1;i<=nlstate;i++)      fprintf(ficlog," xi[%d]= %14.10f p[%d]= %12.7f",j,xi[j],j,p[j]);
       varpl[i][(int)age] =0.;      if(j % ncovmodel == 0){
     matprod2(dnewm,trgradg,1,nlstate,1,npar,1,npar,matcov);        printf("\n");
     matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg);        fprintf(ficlog,"\n");
     for(i=1;i<=nlstate;i++)      }
       varpl[i][(int)age] = doldm[i][i]; /* Covariances are useless */    }
   #else
     fprintf(ficresvpl,"%.0f ",age );  #endif
     for(i=1; i<=nlstate;i++)    free_vector(xicom,1,n); 
       fprintf(ficresvpl," %.5f (%.5f)",prlim[i][i],sqrt(varpl[i][(int)age]));    free_vector(pcom,1,n); 
     fprintf(ficresvpl,"\n");  } 
     free_vector(gp,1,nlstate);  
     free_vector(gm,1,nlstate);  
     free_matrix(gradg,1,npar,1,nlstate);  /*************** powell ************************/
     free_matrix(trgradg,1,nlstate,1,npar);  /*
   } /* End age */  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-
   free_vector(xp,1,npar);  rections (usually the n unit vectors); and ftol , the fractional tolerance in the function value
   free_matrix(doldm,1,nlstate,1,npar);  such that failure to decrease by more than this amount on one iteration signals doneness. On
   free_matrix(dnewm,1,nlstate,1,nlstate);  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.
 }   */
   #ifdef LINMINORIGINAL
 /************ Variance of one-step probabilities  ******************/  #else
 void varprob(char optionfilefiname[], double **matcov, double x[], double delti[], int nlstate, double bage, double fage, int ij, int *Tvar, int **nbcode, int *ncodemax)          int *flatdir; /* Function is vanishing in that direction */
 {          int flat=0, flatd=0; /* Function is vanishing in that direction */
   int i, j=0,  i1, k1, l1, t, tj;  #endif
   int k2, l2, j1,  z1;  void powell(double p[], double **xi, int n, double ftol, int *iter, double *fret, 
   int k=0,l, cptcode;              double (*func)(double [])) 
   int first=1;  { 
   double cv12, mu1, mu2, lc1, lc2, v12, v21, v11, v22,v1,v2;  #ifdef LINMINORIGINAL
   double **dnewm,**doldm;   void linmin(double p[], double xi[], int n, double *fret, 
   double *xp;                double (*func)(double [])); 
   double *gp, *gm;  #else 
   double **gradg, **trgradg;   void linmin(double p[], double xi[], int n, double *fret, 
   double **mu;                                                   double (*func)(double []),int *flat); 
   double age,agelim, cov[NCOVMAX];  #endif
   double std=2.0; /* Number of standard deviation wide of confidence ellipsoids */    int i,ibig,j; 
   int theta;    double del,t,*pt,*ptt,*xit;
   char fileresprob[FILENAMELENGTH];    double directest;
   char fileresprobcov[FILENAMELENGTH];    double fp,fptt;
   char fileresprobcor[FILENAMELENGTH];    double *xits;
     int niterf, itmp;
   double ***varpij;  #ifdef LINMINORIGINAL
   #else
   strcpy(fileresprob,"prob");  
   strcat(fileresprob,fileres);    flatdir=ivector(1,n); 
   if((ficresprob=fopen(fileresprob,"w"))==NULL) {    for (j=1;j<=n;j++) flatdir[j]=0; 
     printf("Problem with resultfile: %s\n", fileresprob);  #endif
   }  
   strcpy(fileresprobcov,"probcov");    pt=vector(1,n); 
   strcat(fileresprobcov,fileres);    ptt=vector(1,n); 
   if((ficresprobcov=fopen(fileresprobcov,"w"))==NULL) {    xit=vector(1,n); 
     printf("Problem with resultfile: %s\n", fileresprobcov);    xits=vector(1,n); 
   }    *fret=(*func)(p); 
   strcpy(fileresprobcor,"probcor");    for (j=1;j<=n;j++) pt[j]=p[j]; 
   strcat(fileresprobcor,fileres);    rcurr_time = time(NULL);  
   if((ficresprobcor=fopen(fileresprobcor,"w"))==NULL) {    for (*iter=1;;++(*iter)) { 
     printf("Problem with resultfile: %s\n", fileresprobcor);      fp=(*fret); /* From former iteration or initial value */
   }      ibig=0; 
   printf("Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);      del=0.0; 
   printf("Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);      rlast_time=rcurr_time;
   printf("and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);      /* (void) gettimeofday(&curr_time,&tzp); */
        rcurr_time = time(NULL);  
   fprintf(ficresprob,"#One-step probabilities and stand. devi in ()\n");      curr_time = *localtime(&rcurr_time);
   fprintf(ficresprob,"# Age");      printf("\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret, rcurr_time-rlast_time, rcurr_time-rstart_time);fflush(stdout);
   fprintf(ficresprobcov,"#One-step probabilities and covariance matrix\n");      fprintf(ficlog,"\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret,rcurr_time-rlast_time, rcurr_time-rstart_time); fflush(ficlog);
   fprintf(ficresprobcov,"# Age");  /*     fprintf(ficrespow,"%d %.12f %ld",*iter,*fret,curr_time.tm_sec-start_time.tm_sec); */
   fprintf(ficresprobcor,"#One-step probabilities and correlation matrix\n");      for (i=1;i<=n;i++) {
   fprintf(ficresprobcov,"# Age");        printf(" %d %.12f",i, p[i]);
         fprintf(ficlog," %d %.12lf",i, p[i]);
         fprintf(ficrespow," %.12lf", p[i]);
   for(i=1; i<=nlstate;i++)      }
     for(j=1; j<=(nlstate+ndeath);j++){      printf("\n");
       fprintf(ficresprob," p%1d-%1d (SE)",i,j);      fprintf(ficlog,"\n");
       fprintf(ficresprobcov," p%1d-%1d ",i,j);      fprintf(ficrespow,"\n");fflush(ficrespow);
       fprintf(ficresprobcor," p%1d-%1d ",i,j);      if(*iter <=3){
     }          tml = *localtime(&rcurr_time);
   fprintf(ficresprob,"\n");        strcpy(strcurr,asctime(&tml));
   fprintf(ficresprobcov,"\n");        rforecast_time=rcurr_time; 
   fprintf(ficresprobcor,"\n");        itmp = strlen(strcurr);
   xp=vector(1,npar);        if(strcurr[itmp-1]=='\n')  /* Windows outputs with a new line */
   dnewm=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);                                  strcurr[itmp-1]='\0';
   doldm=matrix(1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath));        printf("\nConsidering the time needed for the last iteration #%d: %ld seconds,\n",*iter,rcurr_time-rlast_time);
   mu=matrix(1,(nlstate)*(nlstate+ndeath), (int) bage, (int)fage);        fprintf(ficlog,"\nConsidering the time needed for this last iteration #%d: %ld seconds,\n",*iter,rcurr_time-rlast_time);
   varpij=ma3x(1,nlstate*(nlstate+ndeath),1,nlstate*(nlstate+ndeath),(int) bage, (int) fage);        for(niterf=10;niterf<=30;niterf+=10){
   first=1;                                  rforecast_time=rcurr_time+(niterf-*iter)*(rcurr_time-rlast_time);
   if((ficgp=fopen(optionfilegnuplot,"a"))==NULL) {                                  forecast_time = *localtime(&rforecast_time);
     printf("Problem with gnuplot file: %s\n", optionfilegnuplot);                                  strcpy(strfor,asctime(&forecast_time));
     exit(0);                                  itmp = strlen(strfor);
   }                                  if(strfor[itmp-1]=='\n')
   else{                                          strfor[itmp-1]='\0';
     fprintf(ficgp,"\n# Routine varprob");                                  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);
   if((fichtm=fopen(optionfilehtm,"a"))==NULL) {        }
     printf("Problem with html file: %s\n", optionfilehtm);      }
     exit(0);      for (i=1;i<=n;i++) { /* For each direction i */
   }        for (j=1;j<=n;j++) xit[j]=xi[j][i]; /* Directions stored from previous iteration with previous scales */
   else{        fptt=(*fret); 
     fprintf(fichtm,"\n<li><h4> Computing matrix of variance-covariance of step probabilities</h4></li>\n");  #ifdef DEBUG
     fprintf(fichtm,"\nWe have drawn ellipsoids of confidence around the p<inf>ij</inf>, p<inf>kl</inf> to understand the covariance between two incidences. They are expressed in year<sup>-1</sup> in order to be less dependent of stepm.<br>\n");        printf("fret=%lf, %lf, %lf \n", *fret, *fret, *fret);
     fprintf(fichtm,"\n<br> We have drawn x'cov<sup>-1</sup>x = 4 where x is the column vector (pij,pkl). It means that if pij and pkl where uncorrelated the (2X2) matrix 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> When both incidences are correlated we diagonalised the inverse of the covariance matrix and made the appropriate rotation.<br> \n");        fprintf(ficlog, "fret=%lf, %lf, %lf \n", *fret, *fret, *fret);
   #endif
   }        printf("%d",i);fflush(stdout); /* print direction (parameter) i */
         fprintf(ficlog,"%d",i);fflush(ficlog);
    #ifdef LINMINORIGINAL
   cov[1]=1;        linmin(p,xit,n,fret,func); /* Point p[n]. xit[n] has been loaded for direction i as input.*/
   tj=cptcoveff;  #else
   if (cptcovn<1) {tj=1;ncodemax[1]=1;}        linmin(p,xit,n,fret,func,&flat); /* Point p[n]. xit[n] has been loaded for direction i as input.*/
   j1=0;                          flatdir[i]=flat; /* Function is vanishing in that direction i */
   for(t=1; t<=tj;t++){  #endif
     for(i1=1; i1<=ncodemax[t];i1++){                          /* Outputs are fret(new point p) p is updated and xit rescaled */
       j1++;        if (fabs(fptt-(*fret)) > del) { /* We are keeping the max gain on each of the n directions */
                                        /* because that direction will be replaced unless the gain del is small */
       if  (cptcovn>0) {                                  /* in comparison with the 'probable' gain, mu^2, with the last average direction. */
         fprintf(ficresprob, "\n#********** Variable ");                                  /* Unless the n directions are conjugate some gain in the determinant may be obtained */
         for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprob, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);                                  /* with the new direction. */
         fprintf(ficresprob, "**********\n#");                                  del=fabs(fptt-(*fret)); 
         fprintf(ficresprobcov, "\n#********** Variable ");                                  ibig=i; 
         for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcov, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);        } 
         fprintf(ficresprobcov, "**********\n#");  #ifdef DEBUG
                printf("%d %.12e",i,(*fret));
         fprintf(ficgp, "\n#********** Variable ");        fprintf(ficlog,"%d %.12e",i,(*fret));
         for (z1=1; z1<=cptcoveff; z1++) fprintf(ficgp, "# V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);        for (j=1;j<=n;j++) {
         fprintf(ficgp, "**********\n#");                                  xits[j]=FMAX(fabs(p[j]-pt[j]),1.e-5);
                                          printf(" x(%d)=%.12e",j,xit[j]);
                                          fprintf(ficlog," x(%d)=%.12e",j,xit[j]);
         fprintf(fichtm, "\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]]);        for(j=1;j<=n;j++) {
         fprintf(fichtm, "**********\n<hr size=\"2\" color=\"#EC5E5E\">");                                  printf(" p(%d)=%.12e",j,p[j]);
                                          fprintf(ficlog," p(%d)=%.12e",j,p[j]);
         fprintf(ficresprobcor, "\n#********** Variable ");            }
         for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcor, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);        printf("\n");
         fprintf(ficgp, "**********\n#");            fprintf(ficlog,"\n");
       }  #endif
            } /* end loop on each direction i */
       for (age=bage; age<=fage; age ++){      /* Convergence test will use last linmin estimation (fret) and compare former iteration (fp) */ 
         cov[2]=age;      /* But p and xit have been updated at the end of linmin, *fret corresponds to new p, xit  */
         for (k=1; k<=cptcovn;k++) {      /* New value of last point Pn is not computed, P(n-1) */
           cov[2+k]=nbcode[Tvar[k]][codtab[j1][Tvar[k]]];        for(j=1;j<=n;j++) {
         }                                  if(flatdir[j] >0){
         for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2];                                          printf(" p(%d)=%lf flat=%d ",j,p[j],flatdir[j]);
         for (k=1; k<=cptcovprod;k++)                                          fprintf(ficlog," p(%d)=%lf flat=%d ",j,p[j],flatdir[j]);
           cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]]*nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]];                                  }
                                          /* printf("\n"); */
         gradg=matrix(1,npar,1,(nlstate)*(nlstate+ndeath));                                  /* fprintf(ficlog,"\n"); */
         trgradg=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);                          }
         gp=vector(1,(nlstate)*(nlstate+ndeath));      if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret))) { /* Did we reach enough precision? */
         gm=vector(1,(nlstate)*(nlstate+ndeath));        /* We could compare with a chi^2. chisquare(0.95,ddl=1)=3.84 */
            /* By adding age*age in a model, the new -2LL should be lower and the difference follows a */
         for(theta=1; theta <=npar; theta++){        /* a chisquare statistics with 1 degree. To be significant at the 95% level, it should have */
           for(i=1; i<=npar; i++)        /* decreased of more than 3.84  */
             xp[i] = x[i] + (i==theta ?delti[theta]:0);        /* By adding age*age and V1*age the gain (-2LL) should be more than 5.99 (ddl=2) */
                  /* By using V1+V2+V3, the gain should be  7.82, compared with basic 1+age. */
           pmij(pmmij,cov,ncovmodel,xp,nlstate);        /* By adding 10 parameters more the gain should be 18.31 */
                                    
           k=0;        /* Starting the program with initial values given by a former maximization will simply change */
           for(i=1; i<= (nlstate); i++){        /* the scales of the directions and the directions, because the are reset to canonical directions */
             for(j=1; j<=(nlstate+ndeath);j++){        /* Thus the first calls to linmin will give new points and better maximizations until fp-(*fret) is */
               k=k+1;        /* under the tolerance value. If the tolerance is very small 1.e-9, it could last long.  */
               gp[k]=pmmij[i][j];  #ifdef DEBUG
             }        int k[2],l;
           }        k[0]=1;
                  k[1]=-1;
           for(i=1; i<=npar; i++)        printf("Max: %.12e",(*func)(p));
             xp[i] = x[i] - (i==theta ?delti[theta]:0);        fprintf(ficlog,"Max: %.12e",(*func)(p));
            for (j=1;j<=n;j++) {
           pmij(pmmij,cov,ncovmodel,xp,nlstate);          printf(" %.12e",p[j]);
           k=0;          fprintf(ficlog," %.12e",p[j]);
           for(i=1; i<=(nlstate); i++){        }
             for(j=1; j<=(nlstate+ndeath);j++){        printf("\n");
               k=k+1;        fprintf(ficlog,"\n");
               gm[k]=pmmij[i][j];        for(l=0;l<=1;l++) {
             }          for (j=1;j<=n;j++) {
           }            ptt[j]=p[j]+(p[j]-pt[j])*k[l];
                  printf("l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
           for(i=1; i<= (nlstate)*(nlstate+ndeath); i++)            fprintf(ficlog,"l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
             gradg[theta][i]=(gp[i]-gm[i])/2./delti[theta];            }
         }          printf("func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
           fprintf(ficlog,"func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
         for(j=1; j<=(nlstate)*(nlstate+ndeath);j++)        }
           for(theta=1; theta <=npar; theta++)  #endif
             trgradg[j][theta]=gradg[theta][j];  
          #ifdef LINMINORIGINAL
         matprod2(dnewm,trgradg,1,(nlstate)*(nlstate+ndeath),1,npar,1,npar,matcov);  #else
         matprod2(doldm,dnewm,1,(nlstate)*(nlstate+ndeath),1,npar,1,(nlstate)*(nlstate+ndeath),gradg);        free_ivector(flatdir,1,n); 
          #endif
         pmij(pmmij,cov,ncovmodel,x,nlstate);        free_vector(xit,1,n); 
                free_vector(xits,1,n); 
         k=0;        free_vector(ptt,1,n); 
         for(i=1; i<=(nlstate); i++){        free_vector(pt,1,n); 
           for(j=1; j<=(nlstate+ndeath);j++){        return; 
             k=k+1;      } /* enough precision */ 
             mu[k][(int) age]=pmmij[i][j];      if (*iter == ITMAX) nrerror("powell exceeding maximum iterations."); 
           }      for (j=1;j<=n;j++) { /* Computes the extrapolated point P_0 + 2 (P_n-P_0) */
         }        ptt[j]=2.0*p[j]-pt[j]; 
         for(i=1;i<=(nlstate)*(nlstate+ndeath);i++)        xit[j]=p[j]-pt[j]; 
           for(j=1;j<=(nlstate)*(nlstate+ndeath);j++)        pt[j]=p[j]; 
             varpij[i][j][(int)age] = doldm[i][j];      } 
       fptt=(*func)(ptt); /* f_3 */
         /*printf("\n%d ",(int)age);  #ifdef NODIRECTIONCHANGEDUNTILNITER  /* No change in drections until some iterations are done */
      for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){                  if (*iter <=4) {
        printf("%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));  #else
      }*/  #endif
   #ifdef POWELLNOF3INFF1TEST    /* skips test F3 <F1 */
         fprintf(ficresprob,"\n%d ",(int)age);  #else
         fprintf(ficresprobcov,"\n%d ",(int)age);      if (fptt < fp) { /* If extrapolated point is better, decide if we keep that new direction or not */
         fprintf(ficresprobcor,"\n%d ",(int)age);  #endif
         /* (x1 f1=fp), (x2 f2=*fret), (x3 f3=fptt), (xm fm) */
         for (i=1; i<=(nlstate)*(nlstate+ndeath);i++)        /* From x1 (P0) distance of x2 is at h and x3 is 2h */
           fprintf(ficresprob,"%11.3e (%11.3e) ",mu[i][(int) age],sqrt(varpij[i][i][(int)age]));        /* Let f"(x2) be the 2nd derivative equal everywhere.  */
         for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){        /* Then the parabolic through (x1,f1), (x2,f2) and (x3,f3) */
           fprintf(ficresprobcov,"%11.3e ",mu[i][(int) age]);        /* will reach at f3 = fm + h^2/2 f"m  ; f" = (f1 -2f2 +f3 ) / h**2 */
           fprintf(ficresprobcor,"%11.3e ",mu[i][(int) age]);        /* Conditional for using this new direction is that mu^2 = (f1-2f2+f3)^2 /2 < del or directest <0 */
         }        /* also  lamda^2=(f1-f2)^2/mu² is a parasite solution of powell */
         i=0;        /* For powell, inclusion of this average direction is only if t(del)<0 or del inbetween mu^2 and lambda^2 */
         for (k=1; k<=(nlstate);k++){        /* t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)-del*SQR(fp-fptt); */
           for (l=1; l<=(nlstate+ndeath);l++){        /*  Even if f3 <f1, directest can be negative and t >0 */
             i=i++;        /* mu² and del² are equal when f3=f1 */
             fprintf(ficresprobcov,"\n%d %d-%d",(int)age,k,l);                          /* f3 < f1 : mu² < del <= lambda^2 both test are equivalent */
             fprintf(ficresprobcor,"\n%d %d-%d",(int)age,k,l);                          /* f3 < f1 : mu² < lambda^2 < del then directtest is negative and powell t is positive */
             for (j=1; j<=i;j++){                          /* f3 > f1 : lambda² < mu^2 < del then t is negative and directest >0  */
               fprintf(ficresprobcov," %11.3e",varpij[i][j][(int)age]);                          /* f3 > f1 : lambda² < del < mu^2 then t is positive and directest >0  */
               fprintf(ficresprobcor," %11.3e",varpij[i][j][(int) age]/sqrt(varpij[i][i][(int) age])/sqrt(varpij[j][j][(int)age]));  #ifdef NRCORIGINAL
             }        t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)- del*SQR(fp-fptt); /* Original Numerical Recipes in C*/
           }  #else
         }/* end of loop for state */        t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del); /* Intel compiler doesn't work on one line; bug reported */
       } /* end of loop for age */        t= t- del*SQR(fp-fptt);
         /* Drawing ellipsoids of confidence of two variables p(k1-l1,k2-l2)*/  #endif
       for (k1=1; k1<=(nlstate);k1++){        directest = fp-2.0*(*fret)+fptt - 2.0 * del; /* If delta was big enough we change it for a new direction */
         for (l1=1; l1<=(nlstate+ndeath);l1++){  #ifdef DEBUG
           if(l1==k1) continue;        printf("t1= %.12lf, t2= %.12lf, t=%.12lf  directest=%.12lf\n", 2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del),del*SQR(fp-fptt),t,directest);
           i=(k1-1)*(nlstate+ndeath)+l1;        fprintf(ficlog,"t1= %.12lf, t2= %.12lf, t=%.12lf directest=%.12lf\n", 2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del),del*SQR(fp-fptt),t,directest);
           for (k2=1; k2<=(nlstate);k2++){        printf("t3= %.12lf, t4= %.12lf, t3*= %.12lf, t4*= %.12lf\n",SQR(fp-(*fret)-del),SQR(fp-fptt),
             for (l2=1; l2<=(nlstate+ndeath);l2++){               (fp-(*fret)-del)*(fp-(*fret)-del),(fp-fptt)*(fp-fptt));
               if(l2==k2) continue;        fprintf(ficlog,"t3= %.12lf, t4= %.12lf, t3*= %.12lf, t4*= %.12lf\n",SQR(fp-(*fret)-del),SQR(fp-fptt),
               j=(k2-1)*(nlstate+ndeath)+l2;               (fp-(*fret)-del)*(fp-(*fret)-del),(fp-fptt)*(fp-fptt));
               if(j<=i) continue;        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);
               for (age=bage; age<=fage; age ++){        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);
                 if ((int)age %5==0){  #endif
                   v1=varpij[i][i][(int)age]/stepm*YEARM/stepm*YEARM;  #ifdef POWELLORIGINAL
                   v2=varpij[j][j][(int)age]/stepm*YEARM/stepm*YEARM;        if (t < 0.0) { /* Then we use it for new direction */
                   cv12=varpij[i][j][(int)age]/stepm*YEARM/stepm*YEARM;  #else
                   mu1=mu[i][(int) age]/stepm*YEARM ;        if (directest*t < 0.0) { /* Contradiction between both tests */
                   mu2=mu[j][(int) age]/stepm*YEARM;                                  printf("directest= %.12lf (if <0 we include P0 Pn as new direction), t= %.12lf, f1= %.12lf,f2= %.12lf,f3= %.12lf, del= %.12lf\n",directest, t, fp,(*fret),fptt,del);
                   /* Computing eigen value of matrix of covariance */          printf("f1-2f2+f3= %.12lf, f1-f2-del= %.12lf, f1-f3= %.12lf\n",fp-2.0*(*fret)+fptt, fp -(*fret) -del, fp-fptt);
                   lc1=(v1+v2)+sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12));          fprintf(ficlog,"directest= %.12lf (if directest<0 or t<0 we include P0 Pn as new direction), t= %.12lf, f1= %.12lf,f2= %.12lf,f3= %.12lf, del= %.12lf\n",directest, t, fp,(*fret),fptt, del);
                   lc2=(v1+v2)-sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12));          fprintf(ficlog,"f1-2f2+f3= %.12lf, f1-f2-del= %.12lf, f1-f3= %.12lf\n",fp-2.0*(*fret)+fptt, fp -(*fret) -del, fp-fptt);
                   printf("Var %.4e %.4e cov %.4e Eigen %.3e %.3e\n",v1,v2,cv12,lc1,lc2);        } 
                   /* Eigen vectors */        if (directest < 0.0) { /* Then we use it for new direction */
                   v11=(1./sqrt(1+(v1-lc1)*(v1-lc1)/cv12/cv12));  #endif
                   v21=sqrt(1.-v11*v11);  #ifdef DEBUGLINMIN
                   v12=-v21;                                  printf("Before linmin in direction P%d-P0\n",n);
                   v22=v11;                                  for (j=1;j<=n;j++) {
                   /*printf(fignu*/                                          printf(" Before xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   /* mu1+ v11*lc1*cost + v12*lc2*sin(t) */                                          fprintf(ficlog," Before xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   /* mu2+ v21*lc1*cost + v21*lc2*sin(t) */                                          if(j % ncovmodel == 0){
                   if(first==1){                                                  printf("\n");
                     first=0;                                                  fprintf(ficlog,"\n");
                     fprintf(ficgp,"\nset parametric;set nolabel");                                          }
                     fprintf(ficgp,"\nset log y;set log x; set xlabel \"p%1d%1d (year-1)\";set ylabel \"p%1d%1d (year-1)\"",k2,l2,k1,l1);                                  }
                     fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65");  #endif
                     fprintf(fichtm,"\n<br>Ellipsoids of confidence cov(p%1d%1d,p%1d%1d) expressed in year<sup>-1</sup> :<a href=\"varpijgr%s%d%1d%1d-%1d%1d.png\">varpijgr%s%d%1d%1d-%1d%1d.png</A>, ",k2,l2,k1,l1,optionfilefiname, j1,k2,l2,k1,l1,optionfilefiname, j1,k2,l2,k1,l1);  #ifdef LINMINORIGINAL
                     fprintf(fichtm,"\n<br><img src=\"varpijgr%s%d%1d%1d-%1d%1d.png\"> ",optionfilefiname, j1,k2,l2,k1,l1);                                  linmin(p,xit,n,fret,func); /* computes minimum on the extrapolated direction: changes p and rescales xit.*/
                     fprintf(ficgp,"\nset out \"varpijgr%s%d%1d%1d-%1d%1d.png\"",optionfilefiname, j1,k2,l2,k1,l1);  #else
                     fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu2,mu1);                                  linmin(p,xit,n,fret,func,&flat); /* computes minimum on the extrapolated direction: changes p and rescales xit.*/
                     fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k2,l2,k1,l1);                                  flatdir[i]=flat; /* Function is vanishing in that direction i */
                     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)) t \"%d\"",\  #endif
                             mu2,std,v21,sqrt(lc1),v21,sqrt(lc2), \  
                             mu1,std,v11,sqrt(lc1),v12,sqrt(lc2),(int) age);  #ifdef DEBUGLINMIN
                   }else{                                  for (j=1;j<=n;j++) { 
                     first=0;                                          printf("After xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                     fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k2,l2,k1,l1);                                          fprintf(ficlog,"After xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                     fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu2,mu1);                                          if(j % ncovmodel == 0){
                     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)) t \"%d\"",\                                                  printf("\n");
                             mu2,std,v21,sqrt(lc1),v21,sqrt(lc2), \                                                  fprintf(ficlog,"\n");
                             mu1,std,v11,sqrt(lc1),v12,sqrt(lc2),(int) age);                                          }
                   }/* if first */                                  }
                 } /* age mod 5 */  #endif
               } /* end loop age */                                  for (j=1;j<=n;j++) { 
               fprintf(ficgp,"\nset out \"varpijgr%s%d%1d%1d-%1d%1d.png\";replot;",optionfilefiname, j1,k2,l2,k1,l1);                                          xi[j][ibig]=xi[j][n]; /* Replace direction with biggest decrease by last direction n */
               first=1;                                          xi[j][n]=xit[j];      /* and this nth direction by the by the average p_0 p_n */
             } /*l12 */                                  }
           } /* k12 */  #ifdef LINMINORIGINAL
         } /*l1 */  #else
       }/* k1 */                                  for (j=1, flatd=0;j<=n;j++) {
     } /* loop covariates */                                          if(flatdir[j]>0)
     free_ma3x(varpij,1,nlstate,1,nlstate+ndeath,(int) bage, (int)fage);                                                  flatd++;
     free_vector(gp,1,(nlstate+ndeath)*(nlstate+ndeath));                                  }
     free_vector(gm,1,(nlstate+ndeath)*(nlstate+ndeath));                                  if(flatd >0){
     free_matrix(mu,1,(nlstate+ndeath)*(nlstate+ndeath),(int) bage, (int)fage);                                          printf("%d flat directions\n",flatd);
     free_matrix(trgradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);                                          fprintf(ficlog,"%d flat directions\n",flatd);
     free_matrix(gradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);                                          for (j=1;j<=n;j++) { 
   }                                                  if(flatdir[j]>0){
   free_vector(xp,1,npar);                                                          printf("%d ",j);
   fclose(ficresprob);                                                          fprintf(ficlog,"%d ",j);
   fclose(ficresprobcov);                                                  }
   fclose(ficresprobcor);                                          }
   fclose(ficgp);                                          printf("\n");
   fclose(fichtm);                                          fprintf(ficlog,"\n");
 }                                  }
   #endif
                                   printf("Gaining to use new average direction of P0 P%d instead of biggest increase direction %d :\n",n,ibig);
 /******************* Printing html file ***********/                                  fprintf(ficlog,"Gaining to use new average direction of P0 P%d instead of biggest increase direction %d :\n",n,ibig);
 void printinghtml(char fileres[], char title[], char datafile[], int firstpass, \                                  
                   int lastpass, int stepm, int weightopt, char model[],\  #ifdef DEBUG
                   int imx,int jmin, int jmax, double jmeanint,char rfileres[],\                                  printf("Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
                   int popforecast, int estepm ,\                                  fprintf(ficlog,"Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
                   double jprev1, double mprev1,double anprev1, \                                  for(j=1;j<=n;j++){
                   double jprev2, double mprev2,double anprev2){                                          printf(" %lf",xit[j]);
   int jj1, k1, i1, cpt;                                          fprintf(ficlog," %lf",xit[j]);
   /*char optionfilehtm[FILENAMELENGTH];*/                                  }
   if((fichtm=fopen(optionfilehtm,"a"))==NULL)    {                                  printf("\n");
     printf("Problem with %s \n",optionfilehtm), exit(0);                                  fprintf(ficlog,"\n");
   }  #endif
         } /* end of t or directest negative */
    fprintf(fichtm,"<ul><li><h4>Result files (first order: no variance)</h4>\n  #ifdef POWELLNOF3INFF1TEST
  - Observed prevalence in each state (during the period defined between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf): <a href=\"p%s\">p%s</a> <br>\n  #else
  - Estimated transition probabilities over %d (stepm) months: <a href=\"pij%s\">pij%s</a><br>\n      } /* end if (fptt < fp)  */
  - Stable prevalence in each health state: <a href=\"pl%s\">pl%s</a> <br>\n  #endif
  - Life expectancies by age and initial health status (estepm=%2d months):  #ifdef NODIRECTIONCHANGEDUNTILNITER  /* No change in drections until some iterations are done */
    <a href=\"e%s\">e%s</a> <br>\n</li>", \                  } /*NODIRECTIONCHANGEDUNTILNITER  No change in drections until some iterations are done */
   jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,fileres,fileres,stepm,fileres,fileres,fileres,fileres,estepm,fileres,fileres);  #else
   #endif
  fprintf(fichtm,"\n<br><li><h4> Result files (second order: variances)</h4>\n    } /* loop iteration */ 
  - Parameter file with estimated parameters and covariance matrix: <a href=\"%s\">%s</a> <br>\n  } 
  - Variance of one-step probabilities: <a href=\"prob%s\">prob%s</a> <br>\n  
  - Variance-covariance of one-step probabilities: <a href=\"probcov%s\">probcov%s</a> <br>\n  /**** Prevalence limit (stable or period prevalence)  ****************/
  - Correlation matrix of one-step probabilities: <a href=\"probcor%s\">probcor%s</a> <br>\n  
  - Variances and covariances of life expectancies by age and initial health status (estepm=%d months): <a href=\"v%s\">v%s</a><br>\n  double **prevalim(double **prlim, int nlstate, double x[], double age, double **oldm, double **savm, double ftolpl, int *ncvyear, int ij)
  - Health expectancies with their variances (no covariance): <a href=\"t%s\">t%s</a> <br>\n  {
  - Standard deviation of stable prevalences: <a href=\"vpl%s\">vpl%s</a> <br>\n",rfileres,rfileres,fileres,fileres,fileres,fileres,fileres,fileres, estepm, fileres,fileres,fileres,fileres,fileres,fileres);    /* Computes the prevalence limit in each live state at age x and for covariate ij by left multiplying the unit
        matrix by transitions matrix until convergence is reached with precision ftolpl */
  if(popforecast==1) fprintf(fichtm,"\n    /* Wx= Wx-1 Px-1= Wx-2 Px-2 Px-1  = Wx-n Px-n ... Px-2 Px-1 I */
  - Prevalences forecasting: <a href=\"f%s\">f%s</a> <br>\n    /* Wx is row vector: population in state 1, population in state 2, population dead */
  - Population forecasting (if popforecast=1): <a href=\"pop%s\">pop%s</a> <br>\n    /* or prevalence in state 1, prevalence in state 2, 0 */
         <br>",fileres,fileres,fileres,fileres);    /* newm is the matrix after multiplications, its rows are identical at a factor */
  else    /* Initial matrix pimij */
    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);    /* {0.85204250825084937, 0.13044499163996345, 0.017512500109187184, */
 fprintf(fichtm," <li><b>Graphs</b></li><p>");    /* 0.090851990222114765, 0.88271245433047185, 0.026435555447413338, */
     /*  0,                   0                  , 1} */
  m=cptcoveff;    /*
  if (cptcovn < 1) {m=1;ncodemax[1]=1;}     * and after some iteration: */
     /* {0.45504275246439968, 0.42731458730878791, 0.11764266022681241, */
  jj1=0;    /*  0.45201005341706885, 0.42865420071559901, 0.11933574586733192, */
  for(k1=1; k1<=m;k1++){    /*  0,                   0                  , 1} */
    for(i1=1; i1<=ncodemax[k1];i1++){    /* And prevalence by suppressing the deaths are close to identical rows in prlim: */
      jj1++;    /* {0.51571254859325999, 0.4842874514067399, */
      if (cptcovn > 0) {    /*  0.51326036147820708, 0.48673963852179264} */
        fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");    /* If we start from prlim again, prlim tends to a constant matrix */
        for (cpt=1; cpt<=cptcoveff;cpt++)  
          fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtab[jj1][cpt]]);    int i, ii,j,k;
        fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");    double *min, *max, *meandiff, maxmax,sumnew=0.;
      }    /* double **matprod2(); */ /* test */
      /* Pij */    double **out, cov[NCOVMAX+1], **pmij(); /* **pmmij is a global variable feeded with oldms etc */
      fprintf(fichtm,"<br>- Pij or Conditional probabilities to be observed in state j being in state i %d (stepm) months before: pe%s%d1.png<br>    double **newm;
 <img src=\"pe%s%d1.png\">",stepm,strtok(optionfile, "."),jj1,strtok(optionfile, "."),jj1);        double agefin, delaymax=200. ; /* 100 Max number of years to converge */
      /* Quasi-incidences */    int ncvloop=0;
      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: pe%s%d2.png<br>    
 <img src=\"pe%s%d2.png\">",stepm,strtok(optionfile, "."),jj1,strtok(optionfile, "."),jj1);    min=vector(1,nlstate);
        /* Stable prevalence in each health state */    max=vector(1,nlstate);
        for(cpt=1; cpt<nlstate;cpt++){    meandiff=vector(1,nlstate);
          fprintf(fichtm,"<br>- Stable prevalence in each health state : p%s%d%d.png<br>  
 <img src=\"p%s%d%d.png\">",strtok(optionfile, "."),cpt,jj1,strtok(optionfile, "."),cpt,jj1);          /* Starting with matrix unity */
        }    for (ii=1;ii<=nlstate+ndeath;ii++)
     for(cpt=1; cpt<=nlstate;cpt++) {      for (j=1;j<=nlstate+ndeath;j++){
        fprintf(fichtm,"<br>- Observed and stationary prevalence (with confident        oldm[ii][j]=(ii==j ? 1.0 : 0.0);
 interval) in state (%d): v%s%d%d.png <br>      }
 <img src=\"v%s%d%d.png\">",cpt,strtok(optionfile, "."),cpt,jj1,strtok(optionfile, "."),cpt,jj1);      
      }    cov[1]=1.;
      for(cpt=1; cpt<=nlstate;cpt++) {    
         fprintf(fichtm,"\n<br>- Health life expectancies by age and initial health state (%d): exp%s%d%d.png <br>    /* Even if hstepm = 1, at least one multiplication by the unit matrix */
 <img src=\"exp%s%d%d.png\">",cpt,strtok(optionfile, "."),cpt,jj1,strtok(optionfile, "."),cpt,jj1);    /* Start at agefin= age, computes the matrix of passage and loops decreasing agefin until convergence is reached */
      }    for(agefin=age-stepm/YEARM; agefin>=age-delaymax; agefin=agefin-stepm/YEARM){
      fprintf(fichtm,"\n<br>- Total life expectancy by age and      ncvloop++;
 health expectancies in states (1) and (2): e%s%d.png<br>      newm=savm;
 <img src=\"e%s%d.png\">",strtok(optionfile, "."),jj1,strtok(optionfile, "."),jj1);      /* Covariates have to be included here again */
    }      cov[2]=agefin;
  }      if(nagesqr==1)
 fclose(fichtm);        cov[3]= agefin*agefin;;
 }      for (k=1; k<=cptcovn;k++) {
         /* cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
 /******************* Gnuplot file **************/                          /* Here comes the value of the covariate 'ij' */
 void printinggnuplot(char fileres[], double ageminpar, double agemaxpar, double fage , char pathc[], double p[]){        cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)];
         /* printf("prevalim ij=%d k=%d Tvar[%d]=%d nbcode=%d cov=%lf codtabm(%d,Tvar[%d])=%d \n",ij,k, k, Tvar[k],nbcode[Tvar[k]][codtabm(ij,Tvar[k])],cov[2+k], ij, k, codtabm(ij,Tvar[k])]); */
   int m,cpt,k1,i,k,j,jk,k2,k3,ij,l;      }
   int ng;      /*wrong? for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
   if((ficgp=fopen(optionfilegnuplot,"a"))==NULL) {      /* for (k=1; k<=cptcovage;k++) cov[2+nagesqr+Tage[k]]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]*cov[2]; */
     printf("Problem with file %s",optionfilegnuplot);      for (k=1; k<=cptcovage;k++) cov[2+nagesqr+Tage[k]]=nbcode[Tvar[k]][codtabm(ij,k)]*cov[2];
   }      for (k=1; k<=cptcovprod;k++) /* Useless */
         /* cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,Tvard[k][1])] * nbcode[Tvard[k][2]][codtabm(ij,Tvard[k][2])]; */
 #ifdef windows        cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * nbcode[Tvard[k][2]][codtabm(ij,k)];
     fprintf(ficgp,"cd \"%s\" \n",pathc);      
 #endif      /*printf("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/
 m=pow(2,cptcoveff);      /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/
        /*printf("ij=%d cov[3]=%lf \n",ij, cov[3]);*/
  /* 1eme*/      /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
   for (cpt=1; cpt<= nlstate ; cpt ++) {      /* out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /\* Bug Valgrind *\/ */
    for (k1=1; k1<= m ; k1 ++) {                  /* age and covariate values of ij are in 'cov' */
       out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /* Bug Valgrind */
 #ifdef windows      
      fprintf(ficgp,"\nset out \"v%s%d%d.png\" \n",strtok(optionfile, "."),cpt,k1);      savm=oldm;
      fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \nset ter png small\nset size 0.65,0.65\nplot [%.f:%.f] \"vpl%s\" every :::%d::%d u 1:2 \"\%%lf",ageminpar,fage,fileres,k1-1,k1-1);      oldm=newm;
 #endif  
 #ifdef unix      for(j=1; j<=nlstate; j++){
 fprintf(ficgp,"\nset out \"v%s%d%d.png\" \n",strtok(optionfile, "."),cpt,k1);        max[j]=0.;
 fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \nplot [%.f:%.f] \"vpl%s\" u 1:2 \"\%%lf",ageminpar,fage,fileres);        min[j]=1.;
 #endif      }
       for(i=1;i<=nlstate;i++){
 for (i=1; i<= nlstate ; i ++) {        sumnew=0;
   if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");        for(k=1; k<=ndeath; k++) sumnew+=newm[i][nlstate+k];
   else fprintf(ficgp," \%%*lf (\%%*lf)");        for(j=1; j<=nlstate; j++){ 
 }          prlim[i][j]= newm[i][j]/(1-sumnew);
     fprintf(ficgp,"\" t\"Stationary prevalence\" w l 0,\"vpl%s\" every :::%d::%d u 1:($2+2*$3) \"\%%lf",fileres,k1-1,k1-1);          max[j]=FMAX(max[j],prlim[i][j]);
     for (i=1; i<= nlstate ; i ++) {          min[j]=FMIN(min[j],prlim[i][j]);
   if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");        }
   else fprintf(ficgp," \%%*lf (\%%*lf)");      }
 }  
   fprintf(ficgp,"\" t\"95\%% CI\" w l 1,\"vpl%s\" every :::%d::%d u 1:($2-2*$3) \"\%%lf",fileres,k1-1,k1-1);      maxmax=0.;
      for (i=1; i<= nlstate ; i ++) {      for(j=1; j<=nlstate; j++){
   if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");        meandiff[j]=(max[j]-min[j])/(max[j]+min[j])*2.; /* mean difference for each column */
   else fprintf(ficgp," \%%*lf (\%%*lf)");        maxmax=FMAX(maxmax,meandiff[j]);
 }          /* printf(" age= %d meandiff[%d]=%f, agefin=%d max[%d]=%f min[%d]=%f maxmax=%f\n", (int)age, j, meandiff[j],(int)agefin, j, max[j], j, min[j],maxmax); */
      fprintf(ficgp,"\" t\"\" w l 1,\"p%s\" every :::%d::%d u 1:($%d) t\"Observed prevalence \" w l 2",fileres,k1-1,k1-1,2+4*(cpt-1));      } /* j loop */
 #ifdef unix      *ncvyear= (int)age- (int)agefin;
 fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65\n");      /* printf("maxmax=%lf maxmin=%lf ncvloop=%d, age=%d, agefin=%d ncvyear=%d \n", maxmax, maxmin, ncvloop, (int)age, (int)agefin, *ncvyear); */
 #endif      if(maxmax < ftolpl){
    }        /* printf("maxmax=%lf ncvloop=%ld, age=%d, agefin=%d ncvyear=%d \n", maxmax, ncvloop, (int)age, (int)agefin, *ncvyear); */
   }        free_vector(min,1,nlstate);
   /*2 eme*/        free_vector(max,1,nlstate);
         free_vector(meandiff,1,nlstate);
   for (k1=1; k1<= m ; k1 ++) {        return prlim;
     fprintf(ficgp,"\nset out \"e%s%d.png\" \n",strtok(optionfile, "."),k1);      }
     fprintf(ficgp,"set ylabel \"Years\" \nset ter png small\nset size 0.65,0.65\nplot [%.f:%.f] ",ageminpar,fage);    } /* age loop */
          /* After some age loop it doesn't converge */
     for (i=1; i<= nlstate+1 ; i ++) {    printf("Warning: the stable prevalence at age %d did not converge with the required precision (%g > ftolpl=%g) within %.0f years. Try to lower 'ftolpl'. \n\
       k=2*i;  Earliest age to start was %d-%d=%d, ncvloop=%d, ncvyear=%d\n", (int)age, maxmax, ftolpl, delaymax, (int)age, (int)delaymax, (int)agefin, ncvloop, *ncvyear);
       fprintf(ficgp,"\"t%s\" every :::%d::%d u 1:2 \"\%%lf",fileres,k1-1,k1-1);    /* Try to lower 'ftol', for example from 1.e-8 to 6.e-9.\n", ftolpl, (int)age, (int)delaymax, (int)agefin, ncvloop, (int)age-(int)agefin); */
       for (j=1; j<= nlstate+1 ; j ++) {    free_vector(min,1,nlstate);
   if (j==i) fprintf(ficgp," \%%lf (\%%lf)");    free_vector(max,1,nlstate);
   else fprintf(ficgp," \%%*lf (\%%*lf)");    free_vector(meandiff,1,nlstate);
 }      
       if (i== 1) fprintf(ficgp,"\" t\"TLE\" w l ,");    return prlim; /* should not reach here */
       else fprintf(ficgp,"\" t\"LE in state (%d)\" w l ,",i-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 ++) {  
         if (j==i) fprintf(ficgp," \%%lf (\%%lf)");   /**** Back Prevalence limit (stable or period prevalence)  ****************/
         else fprintf(ficgp," \%%*lf (\%%*lf)");  
 }     /* double **bprevalim(double **bprlim, double ***prevacurrent, int nlstate, double x[], double age, double ageminpar, double agemaxpar, double **oldm, double **savm, double **dnewm, double **doldm, double **dsavm, double ftolpl, int *ncvyear, int ij) */
       fprintf(ficgp,"\" t\"\" w l 0,");   /* double **bprevalim(double **bprlim, double ***prevacurrent, int nlstate, double x[], double age, double **oldm, double **savm, double **dnewm, double **doldm, double **dsavm, double ftolpl, int *ncvyear, int ij) */
      fprintf(ficgp,"\"t%s\" every :::%d::%d u 1:($2+$3*2) \"\%%lf",fileres,k1-1,k1-1);   double **bprevalim(double **bprlim, double ***prevacurrent, int nlstate, double x[], double age, double ftolpl, int *ncvyear, int ij)
       for (j=1; j<= nlstate+1 ; j ++) {  {
   if (j==i) fprintf(ficgp," \%%lf (\%%lf)");    /* Computes the prevalence limit in each live state at age x and covariate ij by left multiplying the unit
   else fprintf(ficgp," \%%*lf (\%%*lf)");       matrix by transitions matrix until convergence is reached with precision ftolpl */
 }      /* Wx= Wx-1 Px-1= Wx-2 Px-2 Px-1  = Wx-n Px-n ... Px-2 Px-1 I */
       if (i== (nlstate+1)) fprintf(ficgp,"\" t\"\" w l 0");    /* Wx is row vector: population in state 1, population in state 2, population dead */
       else fprintf(ficgp,"\" t\"\" w l 0,");    /* or prevalence in state 1, prevalence in state 2, 0 */
     }    /* newm is the matrix after multiplications, its rows are identical at a factor */
   }    /* Initial matrix pimij */
      /* {0.85204250825084937, 0.13044499163996345, 0.017512500109187184, */
   /*3eme*/    /* 0.090851990222114765, 0.88271245433047185, 0.026435555447413338, */
     /*  0,                   0                  , 1} */
   for (k1=1; k1<= m ; k1 ++) {    /*
     for (cpt=1; cpt<= nlstate ; cpt ++) {     * and after some iteration: */
       k=2+nlstate*(2*cpt-2);    /* {0.45504275246439968, 0.42731458730878791, 0.11764266022681241, */
       fprintf(ficgp,"\nset out \"exp%s%d%d.png\" \n",strtok(optionfile, "."),cpt,k1);    /*  0.45201005341706885, 0.42865420071559901, 0.11933574586733192, */
       fprintf(ficgp,"set ter png small\nset size 0.65,0.65\nplot [%.f:%.f] \"e%s\" every :::%d::%d u 1:%d t \"e%d1\" w l",ageminpar,fage,fileres,k1-1,k1-1,k,cpt);    /*  0,                   0                  , 1} */
       /*fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d-2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);    /* And prevalence by suppressing the deaths are close to identical rows in prlim: */
  for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");    /* {0.51571254859325999, 0.4842874514067399, */
 fprintf(ficgp,"\" t \"e%d1\" w l",cpt);    /*  0.51326036147820708, 0.48673963852179264} */
 fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d+2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);    /* If we start from prlim again, prlim tends to a constant matrix */
  for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");  
 fprintf(ficgp,"\" t \"e%d1\" w l",cpt);    int i, ii,j,k;
     double *min, *max, *meandiff, maxmax,sumnew=0.;
 */    /* double **matprod2(); */ /* test */
       for (i=1; i< nlstate ; i ++) {    double **out, cov[NCOVMAX+1], **bmij();
         fprintf(ficgp," ,\"e%s\" every :::%d::%d u 1:%d t \"e%d%d\" w l",fileres,k1-1,k1-1,k+2*i,cpt,i+1);    double **newm;
     double         **dnewm, **doldm, **dsavm;  /* for use */
       }    double         **oldm, **savm;  /* for use */
     }  
   }    double agefin, delaymax=200. ; /* 100 Max number of years to converge */
      int ncvloop=0;
   /* CV preval stat */    
     for (k1=1; k1<= m ; k1 ++) {    min=vector(1,nlstate);
     for (cpt=1; cpt<nlstate ; cpt ++) {    max=vector(1,nlstate);
       k=3;    meandiff=vector(1,nlstate);
       fprintf(ficgp,"\nset out \"p%s%d%d.png\" \n",strtok(optionfile, "."),cpt,k1);  
       fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \nset ter png small\nset size 0.65,0.65\nplot [%.f:%.f] \"pij%s\" u ($1==%d ? ($3):1/0):($%d/($%d",ageminpar,agemaxpar,fileres,k1,k+cpt+1,k+1);          dnewm=ddnewms; doldm=ddoldms; dsavm=ddsavms;
           oldm=oldms; savm=savms;
       for (i=1; i< nlstate ; i ++)  
         fprintf(ficgp,"+$%d",k+i+1);          /* Starting with matrix unity */
       fprintf(ficgp,")) t\"prev(%d,%d)\" w l",cpt,cpt+1);          for (ii=1;ii<=nlstate+ndeath;ii++)
                        for (j=1;j<=nlstate+ndeath;j++){
       l=3+(nlstate+ndeath)*cpt;        oldm[ii][j]=(ii==j ? 1.0 : 0.0);
       fprintf(ficgp,",\"pij%s\" u ($1==%d ? ($3):1/0):($%d/($%d",fileres,k1,l+cpt+1,l+1);      }
       for (i=1; i< nlstate ; i ++) {    
         l=3+(nlstate+ndeath)*cpt;    cov[1]=1.;
         fprintf(ficgp,"+$%d",l+i+1);    
       }    /* Even if hstepm = 1, at least one multiplication by the unit matrix */
       fprintf(ficgp,")) t\"prev(%d,%d)\" w l\n",cpt+1,cpt+1);      /* Start at agefin= age, computes the matrix of passage and loops decreasing agefin until convergence is reached */
     }    /* for(agefin=age+stepm/YEARM; agefin<=age+delaymax; agefin=agefin+stepm/YEARM){ /\* A changer en age *\/ */
   }      for(agefin=age; agefin<AGESUP; agefin=agefin+stepm/YEARM){ /* A changer en age */
        ncvloop++;
   /* proba elementaires */      newm=savm; /* oldm should be kept from previous iteration or unity at start */
    for(i=1,jk=1; i <=nlstate; i++){                  /* newm points to the allocated table savm passed by the function it can be written, savm could be reallocated */
     for(k=1; k <=(nlstate+ndeath); k++){      /* Covariates have to be included here again */
       if (k != i) {      cov[2]=agefin;
         for(j=1; j <=ncovmodel; j++){      if(nagesqr==1)
                cov[3]= agefin*agefin;;
           fprintf(ficgp,"p%d=%f ",jk,p[jk]);      for (k=1; k<=cptcovn;k++) {
           jk++;        /* cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
           fprintf(ficgp,"\n");        cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)];
         }        /* printf("prevalim ij=%d k=%d Tvar[%d]=%d nbcode=%d cov=%lf codtabm(%d,Tvar[%d])=%d \n",ij,k, k, Tvar[k],nbcode[Tvar[k]][codtabm(ij,Tvar[k])],cov[2+k], ij, k, codtabm(ij,Tvar[k])]); */
       }      }
     }      /*wrong? for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
    }      /* for (k=1; k<=cptcovage;k++) cov[2+nagesqr+Tage[k]]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]*cov[2]; */
       for (k=1; k<=cptcovage;k++) cov[2+nagesqr+Tage[k]]=nbcode[Tvar[k]][codtabm(ij,k)]*cov[2];
    for(ng=1; ng<=2;ng++){ /* Number of graphics: first is probabilities second is incidence per year*/      for (k=1; k<=cptcovprod;k++) /* Useless */
      for(jk=1; jk <=m; jk++) {        /* cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,Tvard[k][1])] * nbcode[Tvard[k][2]][codtabm(ij,Tvard[k][2])]; */
        fprintf(ficgp,"\nset out \"pe%s%d%d.png\" \n",strtok(optionfile, "."),jk,ng);        cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * nbcode[Tvard[k][2]][codtabm(ij,k)];
        if (ng==2)      
          fprintf(ficgp,"\nset ylabel \"Quasi-incidence per year\"\n");      /*printf("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/
        else      /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/
          fprintf(ficgp,"\nset title \"Probability\"\n");      /*printf("ij=%d cov[3]=%lf \n",ij, cov[3]);*/
        fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65\nset log y\nplot  [%.f:%.f] ",ageminpar,agemaxpar);      /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
        i=1;      /* out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /\* Bug Valgrind *\/ */
        for(k2=1; k2<=nlstate; k2++) {                  /* ij should be linked to the correct index of cov */
          k3=i;                  /* age and covariate values ij are in 'cov', but we need to pass
          for(k=1; k<=(nlstate+ndeath); k++) {                   * ij for the observed prevalence at age and status and covariate
            if (k != k2){                   * number:  prevacurrent[(int)agefin][ii][ij]
              if(ng==2)                   */
                fprintf(ficgp," %f*exp(p%d+p%d*x",YEARM/stepm,i,i+1);      /* out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent, ageminpar, agemaxpar, dnewm, doldm, dsavm,ij)); /\* Bug Valgrind *\/ */
              else      /* out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent, dnewm, doldm, dsavm,ij)); /\* Bug Valgrind *\/ */
                fprintf(ficgp," exp(p%d+p%d*x",i,i+1);      out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent,ij)); /* Bug Valgrind */
              ij=1;      savm=oldm;
              for(j=3; j <=ncovmodel; j++) {      oldm=newm;
                if(((j-2)==Tage[ij]) &&(ij <=cptcovage)) {      for(j=1; j<=nlstate; j++){
                  fprintf(ficgp,"+p%d*%d*x",i+j-1,nbcode[Tvar[j-2]][codtab[jk][Tvar[j-2]]]);        max[j]=0.;
                  ij++;        min[j]=1.;
                }      }
                else      for(j=1; j<=nlstate; j++){ 
                  fprintf(ficgp,"+p%d*%d",i+j-1,nbcode[Tvar[j-2]][codtab[jk][j-2]]);        for(i=1;i<=nlstate;i++){
              }                                  /* bprlim[i][j]= newm[i][j]/(1-sumnew); */
              fprintf(ficgp,")/(1");                                  bprlim[i][j]= newm[i][j];
                                                max[i]=FMAX(max[i],bprlim[i][j]); /* Max in line */
              for(k1=1; k1 <=nlstate; k1++){                                    min[i]=FMIN(min[i],bprlim[i][j]);
                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)) {      maxmax=0.;
                    fprintf(ficgp,"+p%d*%d*x",k3+(k1-1)*ncovmodel+1+j-2,nbcode[Tvar[j-2]][codtab[jk][Tvar[j-2]]]);      for(i=1; i<=nlstate; i++){
                    ij++;        meandiff[i]=(max[i]-min[i])/(max[i]+min[i])*2.; /* mean difference for each column */
                  }        maxmax=FMAX(maxmax,meandiff[i]);
                  else        /* printf("Back age= %d meandiff[%d]=%f, agefin=%d max[%d]=%f min[%d]=%f maxmax=%f\n", (int)age, i, meandiff[i],(int)agefin, i, max[i], i, min[i],maxmax); */
                    fprintf(ficgp,"+p%d*%d",k3+(k1-1)*ncovmodel+1+j-2,nbcode[Tvar[j-2]][codtab[jk][j-2]]);      } /* j loop */
                }      *ncvyear= -( (int)age- (int)agefin);
                fprintf(ficgp,")");      /* printf("Back maxmax=%lf ncvloop=%d, age=%d, agefin=%d ncvyear=%d \n", maxmax, ncvloop, (int)age, (int)agefin, *ncvyear);*/
              }      if(maxmax < ftolpl){
              fprintf(ficgp,") t \"p%d%d\" ", k2,k);        /* printf("OK Back maxmax=%lf ncvloop=%d, age=%d, agefin=%d ncvyear=%d \n", maxmax, ncvloop, (int)age, (int)agefin, *ncvyear); */
              if ((k+k2)!= (nlstate*2+ndeath)) fprintf(ficgp,",");        free_vector(min,1,nlstate);
              i=i+ncovmodel;        free_vector(max,1,nlstate);
            }        free_vector(meandiff,1,nlstate);
          }        return bprlim;
        }      }
      }    } /* age loop */
    }      /* After some age loop it doesn't converge */
    fclose(ficgp);    printf("Warning: the back stable prevalence at age %d did not converge with the required precision (%g > ftolpl=%g) within %.0f years. Try to lower 'ftolpl'. \n\
 }  /* end gnuplot */  Oldest age to start was %d-%d=%d, ncvloop=%d, ncvyear=%d\n", (int)age, maxmax, ftolpl, delaymax, (int)age, (int)delaymax, (int)agefin, ncvloop, *ncvyear);
     /* Try to lower 'ftol', for example from 1.e-8 to 6.e-9.\n", ftolpl, (int)age, (int)delaymax, (int)agefin, ncvloop, (int)age-(int)agefin); */
     free_vector(min,1,nlstate);
 /*************** Moving average **************/    free_vector(max,1,nlstate);
 void movingaverage(double agedeb, double fage,double ageminpar, double ***mobaverage){    free_vector(meandiff,1,nlstate);
     
   int i, cpt, cptcod;    return bprlim; /* should not reach here */
     for (agedeb=ageminpar; agedeb<=fage; agedeb++)  }
       for (i=1; i<=nlstate;i++)  
         for (cptcod=1;cptcod<=ncodemax[cptcov];cptcod++)  /*************** transition probabilities ***************/ 
           mobaverage[(int)agedeb][i][cptcod]=0.;  
      double **pmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )
     for (agedeb=ageminpar+4; agedeb<=fage; agedeb++){  {
       for (i=1; i<=nlstate;i++){    /* According to parameters values stored in x and the covariate's values stored in cov,
         for (cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){       computes the probability to be observed in state j being in state i by appying the
           for (cpt=0;cpt<=4;cpt++){       model to the ncovmodel covariates (including constant and age).
             mobaverage[(int)agedeb-2][i][cptcod]=mobaverage[(int)agedeb-2][i][cptcod]+probs[(int)agedeb-cpt][i][cptcod];       lnpijopii=ln(pij/pii)= aij+bij*age+cij*v1+dij*v2+... = sum_nc=1^ncovmodel xij(nc)*cov[nc]
           }       and, according on how parameters are entered, the position of the coefficient xij(nc) of the
           mobaverage[(int)agedeb-2][i][cptcod]=mobaverage[(int)agedeb-2][i][cptcod]/5;       ncth covariate in the global vector x is given by the formula:
         }       j<i nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel
       }       j>=i nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel
     }       Computes ln(pij/pii) (lnpijopii), deduces pij/pii by exponentiation,
           sums on j different of i to get 1-pii/pii, deduces pii, and then all pij.
 }       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]
     */
 /************** Forecasting ******************/    double s1, lnpijopii;
 prevforecast(char fileres[], double anproj1,double mproj1,double jproj1,double ageminpar, double agemax,double dateprev1, double dateprev2, int mobilav, double agedeb, double fage, int popforecast, char popfile[], double anproj2,double p[], int i2){    /*double t34;*/
      int i,j, nc, ii, jj;
   int cpt, stepsize, hstepm, nhstepm, j,k,c, cptcod, i,h;  
   int *popage;    for(i=1; i<= nlstate; i++){
   double calagedate, agelim, kk1, kk2, yp,yp1,yp2,jprojmean,mprojmean,anprojmean;      for(j=1; j<i;j++){
   double *popeffectif,*popcount;        for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
   double ***p3mat;          /*lnpijopii += param[i][j][nc]*cov[nc];*/
   char fileresf[FILENAMELENGTH];          lnpijopii += x[nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel]*cov[nc];
           /*       printf("Int j<i s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
  agelim=AGESUP;        }
 calagedate=(anproj1+mproj1/12.+jproj1/365.-dateintmean)*YEARM;        ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
         /*        printf("s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
   prevalence(ageminpar, agemax, s, agev, nlstate, imx,Tvar,nbcode, ncodemax,mint,anint,dateprev1,dateprev2, calagedate);      }
        for(j=i+1; j<=nlstate+ndeath;j++){
          for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
   strcpy(fileresf,"f");          /*lnpijopii += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];*/
   strcat(fileresf,fileres);          lnpijopii += x[nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel]*cov[nc];
   if((ficresf=fopen(fileresf,"w"))==NULL) {          /*        printf("Int j>i s1=%.17e, lnpijopii=%.17e %lx %lx\n",s1,lnpijopii,s1,lnpijopii); */
     printf("Problem with forecast resultfile: %s\n", fileresf);        }
   }        ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
   printf("Computing forecasting: result on file '%s' \n", fileresf);      }
     }
   if (cptcoveff==0) ncodemax[cptcoveff]=1;    
     for(i=1; i<= nlstate; i++){
   if (mobilav==1) {      s1=0;
     mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);      for(j=1; j<i; j++){
     movingaverage(agedeb, fage, ageminpar, mobaverage);        s1+=exp(ps[i][j]); /* In fact sums pij/pii */
   }        /*printf("debug1 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
       }
   stepsize=(int) (stepm+YEARM-1)/YEARM;      for(j=i+1; j<=nlstate+ndeath; j++){
   if (stepm<=12) stepsize=1;        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); */
   agelim=AGESUP;      }
        /* s1= sum_{j<>i} pij/pii=(1-pii)/pii and thus pii is known from s1 */
   hstepm=1;      ps[i][i]=1./(s1+1.);
   hstepm=hstepm/stepm;      /* Computing other pijs */
   yp1=modf(dateintmean,&yp);      for(j=1; j<i; j++)
   anprojmean=yp;        ps[i][j]= exp(ps[i][j])*ps[i][i];
   yp2=modf((yp1*12),&yp);      for(j=i+1; j<=nlstate+ndeath; j++)
   mprojmean=yp;        ps[i][j]= exp(ps[i][j])*ps[i][i];
   yp1=modf((yp2*30.5),&yp);      /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */
   jprojmean=yp;    } /* end i */
   if(jprojmean==0) jprojmean=1;    
   if(mprojmean==0) jprojmean=1;    for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){
        for(jj=1; jj<= nlstate+ndeath; jj++){
   fprintf(ficresf,"# Estimated date of observed prevalence: %.lf/%.lf/%.lf ",jprojmean,mprojmean,anprojmean);        ps[ii][jj]=0;
          ps[ii][ii]=1;
   for(cptcov=1;cptcov<=i2;cptcov++){      }
     for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){    }
       k=k+1;    
       fprintf(ficresf,"\n#******");    
       for(j=1;j<=cptcoveff;j++) {    /* for(ii=1; ii<= nlstate+ndeath; ii++){ */
         fprintf(ficresf," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);    /*   for(jj=1; jj<= nlstate+ndeath; jj++){ */
       }    /*    printf(" pmij  ps[%d][%d]=%lf ",ii,jj,ps[ii][jj]); */
       fprintf(ficresf,"******\n");    /*   } */
       fprintf(ficresf,"# StartingAge FinalAge");    /*   printf("\n "); */
       for(j=1; j<=nlstate+ndeath;j++) fprintf(ficresf," P.%d",j);    /* } */
          /* printf("\n ");printf("%lf ",cov[2]);*/
          /*
       for (cpt=0; cpt<=(anproj2-anproj1);cpt++) {      for(i=1; i<= npar; i++) printf("%f ",x[i]);
         fprintf(ficresf,"\n");                  goto end;*/
         fprintf(ficresf,"\n# Forecasting at date %.lf/%.lf/%.lf ",jproj1,mproj1,anproj1+cpt);      return ps;
   }
         for (agedeb=(fage-((int)calagedate %12/12.)); agedeb>=(ageminpar-((int)calagedate %12)/12.); agedeb--){  
           nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm);  /*************** backward transition probabilities ***************/ 
           nhstepm = nhstepm/hstepm;  
             /* double **bmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate,  double ***prevacurrent, double ageminpar, double agemaxpar, double ***dnewm, double **doldm, double **dsavm, int ij ) */
           p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);  /* double **bmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate,  double ***prevacurrent, double ***dnewm, double **doldm, double **dsavm, int ij ) */
           oldm=oldms;savm=savms;   double **bmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate,  double ***prevacurrent, int ij )
           hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);    {
            /* Computes the backward probability at age agefin and covariate ij
           for (h=0; h<=nhstepm; h++){     * and returns in **ps as well as **bmij.
             if (h==(int) (calagedate+YEARM*cpt)) {     */
               fprintf(ficresf,"\n %.f %.f ",anproj1+cpt,agedeb+h*hstepm/YEARM*stepm);    int i, ii, j,k;
             }    
             for(j=1; j<=nlstate+ndeath;j++) {    double **out, **pmij();
               kk1=0.;kk2=0;    double sumnew=0.;
               for(i=1; i<=nlstate;i++) {                  double agefin;
                 if (mobilav==1)    
                   kk1=kk1+p3mat[i][j][h]*mobaverage[(int)agedeb+1][i][cptcod];    double **dnewm, **dsavm, **doldm;
                 else {    double **bbmij;
                   kk1=kk1+p3mat[i][j][h]*probs[(int)(agedeb+1)][i][cptcod];    
                 }    doldm=ddoldms; /* global pointers */
                    dnewm=ddnewms;
               }    dsavm=ddsavms;
               if (h==(int)(calagedate+12*cpt)){    
                 fprintf(ficresf," %.3f", kk1);    agefin=cov[2];
                            /* bmij *//* age is cov[2], ij is included in cov, but we need for
               }       the observed prevalence (with this covariate ij) */
             }    dsavm=pmij(pmmij,cov,ncovmodel,x,nlstate);
           }    /* We do have the matrix Px in savm  and we need pij */
           free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);    for (j=1;j<=nlstate+ndeath;j++){
         }      sumnew=0.; /* w1 p11 + w2 p21 only on live states */
       }      for (ii=1;ii<=nlstate;ii++){
     }        sumnew+=dsavm[ii][j]*prevacurrent[(int)agefin][ii][ij];
   }      } /* sumnew is (N11+N21)/N..= N.1/N.. = sum on i of w_i pij */
              for (ii=1;ii<=nlstate+ndeath;ii++){
   if (mobilav==1) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);        if(sumnew >= 1.e-10){
           /* if(agefin >= agemaxpar && agefin <= agemaxpar+stepm/YEARM){ */
   fclose(ficresf);          /*      doldm[ii][j]=(ii==j ? 1./sumnew : 0.0); */
 }          /* }else if(agefin >= agemaxpar+stepm/YEARM){ */
 /************** Forecasting ******************/          /*      doldm[ii][j]=(ii==j ? 1./sumnew : 0.0); */
 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){          /* }else */
            doldm[ii][j]=(ii==j ? 1./sumnew : 0.0);
   int cpt, stepsize, hstepm, nhstepm, j,k,c, cptcod, i,h;        }else{
   int *popage;          printf("ii=%d, i=%d, doldm=%lf dsavm=%lf, probs=%lf, sumnew=%lf,agefin=%d\n",ii,j,doldm[ii][j],dsavm[ii][j],prevacurrent[(int)agefin][ii][ij],sumnew, (int)agefin);
   double calagedate, agelim, kk1, kk2, yp,yp1,yp2,jprojmean,mprojmean,anprojmean;        }
   double *popeffectif,*popcount;      } /*End ii */
   double ***p3mat,***tabpop,***tabpopprev;    } /* End j, At the end doldm is diag[1/(w_1p1i+w_2 p2i)] */
   char filerespop[FILENAMELENGTH];    /* left Product of this diag matrix by dsavm=Px (newm=dsavm*doldm) */
     bbmij=matprod2(dnewm, dsavm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, doldm); /* Bug Valgrind */
   tabpop= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);    /* dsavm=doldm; /\* dsavm is now diag [1/(w_1p1i+w_2 p2i)] but can be overwritten*\/ */
   tabpopprev= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);    /* doldm=dnewm; /\* doldm is now Px * diag [1/(w_1p1i+w_2 p2i)] *\/ */
   agelim=AGESUP;    /* dnewm=dsavm; /\* doldm is now Px * diag [1/(w_1p1i+w_2 p2i)] *\/ */
   calagedate=(anpyram+mpyram/12.+jpyram/365.-dateintmean)*YEARM;    /* left Product of this matrix by diag matrix of prevalences (savm) */
      for (j=1;j<=nlstate+ndeath;j++){
   prevalence(ageminpar, agemax, s, agev, nlstate, imx,Tvar,nbcode, ncodemax,mint,anint,dateprev1,dateprev2, calagedate);      for (ii=1;ii<=nlstate+ndeath;ii++){
          dsavm[ii][j]=(ii==j ? prevacurrent[(int)agefin][ii][ij] : 0.0);
        }
   strcpy(filerespop,"pop");    } /* End j, At the end oldm is diag[1/(w_1p1i+w_2 p2i)] */
   strcat(filerespop,fileres);    ps=matprod2(doldm, dsavm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, dnewm); /* Bug Valgrind */
   if((ficrespop=fopen(filerespop,"w"))==NULL) {    /* newm or out is now diag[w_i] * Px * diag [1/(w_1p1i+w_2 p2i)] */
     printf("Problem with forecast resultfile: %s\n", filerespop);    /* end bmij */
   }    return ps; 
   printf("Computing forecasting: result on file '%s' \n", filerespop);  }
   /*************** transition probabilities ***************/ 
   if (cptcoveff==0) ncodemax[cptcoveff]=1;  
   double **bpmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )
   if (mobilav==1) {  {
     mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);    /* According to parameters values stored in x and the covariate's values stored in cov,
     movingaverage(agedeb, fage, ageminpar, mobaverage);       computes the probability to be observed in state j being in state i by appying the
   }       model to the ncovmodel covariates (including constant and age).
        lnpijopii=ln(pij/pii)= aij+bij*age+cij*v1+dij*v2+... = sum_nc=1^ncovmodel xij(nc)*cov[nc]
   stepsize=(int) (stepm+YEARM-1)/YEARM;       and, according on how parameters are entered, the position of the coefficient xij(nc) of the
   if (stepm<=12) stepsize=1;       ncth covariate in the global vector x is given by the formula:
         j<i nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel
   agelim=AGESUP;       j>=i nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel
         Computes ln(pij/pii) (lnpijopii), deduces pij/pii by exponentiation,
   hstepm=1;       sums on j different of i to get 1-pii/pii, deduces pii, and then all pij.
   hstepm=hstepm/stepm;       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]
   if (popforecast==1) {    */
     if((ficpop=fopen(popfile,"r"))==NULL) {    double s1, lnpijopii;
       printf("Problem with population file : %s\n",popfile);exit(0);    /*double t34;*/
     }    int i,j, nc, ii, jj;
     popage=ivector(0,AGESUP);  
     popeffectif=vector(0,AGESUP);          for(i=1; i<= nlstate; i++){
     popcount=vector(0,AGESUP);                  for(j=1; j<i;j++){
                              for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
     i=1;                                    /*lnpijopii += param[i][j][nc]*cov[nc];*/
     while ((c=fscanf(ficpop,"%d %lf\n",&popage[i],&popcount[i])) != EOF) i=i+1;                                  lnpijopii += x[nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel]*cov[nc];
                                      /*       printf("Int j<i s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
     imx=i;                          }
     for (i=1; i<imx;i++) popeffectif[popage[i]]=popcount[i];                          ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
   }                          /*      printf("s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
                   }
   for(cptcov=1;cptcov<=i2;cptcov++){                  for(j=i+1; j<=nlstate+ndeath;j++){
    for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){                          for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
       k=k+1;                                  /*lnpijopii += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];*/
       fprintf(ficrespop,"\n#******");                                  lnpijopii += x[nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel]*cov[nc];
       for(j=1;j<=cptcoveff;j++) {                                  /*        printf("Int j>i s1=%.17e, lnpijopii=%.17e %lx %lx\n",s1,lnpijopii,s1,lnpijopii); */
         fprintf(ficrespop," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);                          }
       }                          ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
       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(i=1; i<= nlstate; i++){
                        s1=0;
       for (cpt=0; cpt<=0;cpt++) {                  for(j=1; j<i; j++){
         fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);                            s1+=exp(ps[i][j]); /* In fact sums pij/pii */
                                  /*printf("debug1 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
         for (agedeb=(fage-((int)calagedate %12/12.)); agedeb>=(ageminpar-((int)calagedate %12)/12.); agedeb--){                  }
           nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm);                  for(j=i+1; j<=nlstate+ndeath; j++){
           nhstepm = nhstepm/hstepm;                          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); */
           p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);                  }
           oldm=oldms;savm=savms;                  /* s1= sum_{j<>i} pij/pii=(1-pii)/pii and thus pii is known from s1 */
           hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);                    ps[i][i]=1./(s1+1.);
                          /* Computing other pijs */
           for (h=0; h<=nhstepm; h++){                  for(j=1; j<i; j++)
             if (h==(int) (calagedate+YEARM*cpt)) {                          ps[i][j]= exp(ps[i][j])*ps[i][i];
               fprintf(ficrespop,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm);                  for(j=i+1; j<=nlstate+ndeath; j++)
             }                          ps[i][j]= exp(ps[i][j])*ps[i][i];
             for(j=1; j<=nlstate+ndeath;j++) {                  /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */
               kk1=0.;kk2=0;          } /* end i */
               for(i=1; i<=nlstate;i++) {                        
                 if (mobilav==1)          for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){
                   kk1=kk1+p3mat[i][j][h]*mobaverage[(int)agedeb+1][i][cptcod];                  for(jj=1; jj<= nlstate+ndeath; jj++){
                 else {                          ps[ii][jj]=0;
                   kk1=kk1+p3mat[i][j][h]*probs[(int)(agedeb+1)][i][cptcod];                          ps[ii][ii]=1;
                 }                  }
               }          }
               if (h==(int)(calagedate+12*cpt)){          /* Added for backcast */ /* Transposed matrix too */
                 tabpop[(int)(agedeb)][j][cptcod]=kk1;          for(jj=1; jj<= nlstate+ndeath; jj++){
                   /*fprintf(ficrespop," %.3f", kk1);                  s1=0.;
                     if (popforecast==1) fprintf(ficrespop," [%.f]", kk1*popeffectif[(int)agedeb+1]);*/                  for(ii=1; ii<= nlstate+ndeath; ii++){
               }                          s1+=ps[ii][jj];
             }                  }
             for(i=1; i<=nlstate;i++){                  for(ii=1; ii<= nlstate; ii++){
               kk1=0.;                          ps[ii][jj]=ps[ii][jj]/s1;
                 for(j=1; j<=nlstate;j++){                  }
                   kk1= kk1+tabpop[(int)(agedeb)][j][cptcod];          }
                 }          /* Transposition */
                   tabpopprev[(int)(agedeb)][i][cptcod]=tabpop[(int)(agedeb)][i][cptcod]/kk1*popeffectif[(int)(agedeb+(calagedate+12*cpt)*hstepm/YEARM*stepm-1)];          for(jj=1; jj<= nlstate+ndeath; jj++){
             }                  for(ii=jj; ii<= nlstate+ndeath; ii++){
                           s1=ps[ii][jj];
             if (h==(int)(calagedate+12*cpt)) for(j=1; j<=nlstate;j++)                          ps[ii][jj]=ps[jj][ii];
               fprintf(ficrespop," %15.2f",tabpopprev[(int)(agedeb+1)][j][cptcod]);                          ps[jj][ii]=s1;
           }                  }
           free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);          }
         }          /* for(ii=1; ii<= nlstate+ndeath; ii++){ */
       }          /*   for(jj=1; jj<= nlstate+ndeath; jj++){ */
            /*      printf(" pmij  ps[%d][%d]=%lf ",ii,jj,ps[ii][jj]); */
   /******/          /*   } */
           /*   printf("\n "); */
       for (cpt=1; cpt<=(anpyram1-anpyram);cpt++) {          /* } */
         fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);            /* printf("\n ");printf("%lf ",cov[2]);*/
         for (agedeb=(fage-((int)calagedate %12/12.)); agedeb>=(ageminpar-((int)calagedate %12)/12.); agedeb--){          /*
           nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm);                  for(i=1; i<= npar; i++) printf("%f ",x[i]);
           nhstepm = nhstepm/hstepm;                  goto end;*/
                    return ps;
           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++){  /**************** Product of 2 matrices ******************/
             if (h==(int) (calagedate+YEARM*cpt)) {  
               fprintf(ficresf,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm);  double **matprod2(double **out, double **in,int nrl, int nrh, int ncl, int nch, int ncolol, int ncoloh, double **b)
             }  {
             for(j=1; j<=nlstate+ndeath;j++) {    /* Computes the matrix product of in(1,nrh-nrl+1)(1,nch-ncl+1) times
               kk1=0.;kk2=0;       b(1,nch-ncl+1)(1,ncoloh-ncolol+1) into out(...) */
               for(i=1; i<=nlstate;i++) {                  /* in, b, out are matrice of pointers which should have been initialized 
                 kk1=kk1+p3mat[i][j][h]*tabpopprev[(int)agedeb+1][i][cptcod];           before: only the contents of out is modified. The function returns
               }       a pointer to pointers identical to out */
               if (h==(int)(calagedate+12*cpt)) fprintf(ficresf," %15.2f", kk1);    int i, j, k;
             }    for(i=nrl; i<= nrh; i++)
           }      for(k=ncolol; k<=ncoloh; k++){
           free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);        out[i][k]=0.;
         }        for(j=ncl; j<=nch; j++)
       }          out[i][k] +=in[i][j]*b[j][k];
    }      }
   }    return out;
    }
   if (mobilav==1) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);  
   
   if (popforecast==1) {  /************* Higher Matrix Product ***************/
     free_ivector(popage,0,AGESUP);  
     free_vector(popeffectif,0,AGESUP);  double ***hpxij(double ***po, int nhstepm, double age, int hstepm, double *x, int nlstate, int stepm, double **oldm, double **savm, int ij )
     free_vector(popcount,0,AGESUP);  {
   }    /* Computes the transition matrix starting at age 'age' and combination of covariate values corresponding to ij over 
   free_ma3x(tabpop,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);       'nhstepm*hstepm*stepm' months (i.e. until
   free_ma3x(tabpopprev,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);       age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying 
   fclose(ficrespop);       nhstepm*hstepm matrices. 
 }       Output is stored in matrix po[i][j][h] for h every 'hstepm' step 
        (typically every 2 years instead of every month which is too big 
 /***********************************************/       for the memory).
 /**************** Main Program *****************/       Model is determined by parameters x and covariates have to be 
 /***********************************************/       included manually here. 
   
 int main(int argc, char *argv[])       */
 {  
     int i, j, d, h, k;
   int i,j, k, n=MAXN,iter,m,size,cptcode, cptcod;    double **out, cov[NCOVMAX+1];
   double agedeb, agefin,hf;    double **newm;
   double ageminpar=1.e20,agemin=1.e20, agemaxpar=-1.e20, agemax=-1.e20;    double agexact;
     double agebegin, ageend;
   double fret;  
   double **xi,tmp,delta;    /* Hstepm could be zero and should return the unit matrix */
     for (i=1;i<=nlstate+ndeath;i++)
   double dum; /* Dummy variable */      for (j=1;j<=nlstate+ndeath;j++){
   double ***p3mat;        oldm[i][j]=(i==j ? 1.0 : 0.0);
   int *indx;        po[i][j][0]=(i==j ? 1.0 : 0.0);
   char line[MAXLINE], linepar[MAXLINE];      }
   char path[80],pathc[80],pathcd[80],pathtot[80],model[20];    /* Even if hstepm = 1, at least one multiplication by the unit matrix */
   int firstobs=1, lastobs=10;    for(h=1; h <=nhstepm; h++){
   int sdeb, sfin; /* Status at beginning and end */      for(d=1; d <=hstepm; d++){
   int c,  h , cpt,l;        newm=savm;
   int ju,jl, mi;        /* Covariates have to be included here again */
   int i1,j1, k1,k2,k3,jk,aa,bb, stepsize, ij;        cov[1]=1.;
   int jnais,jdc,jint4,jint1,jint2,jint3,**outcome,**adl,*tab;        agexact=age+((h-1)*hstepm + (d-1))*stepm/YEARM; /* age just before transition */
   int mobilav=0,popforecast=0;        cov[2]=agexact;
   int hstepm, nhstepm;        if(nagesqr==1)
   double jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,jpyram, mpyram,anpyram,jpyram1, mpyram1,anpyram1, calagedate;          cov[3]= agexact*agexact;
         for (k=1; k<=cptcovn;k++) 
   double bage, fage, age, agelim, agebase;          cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)];
   double ftolpl=FTOL;        /* cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
   double **prlim;        for (k=1; k<=cptcovage;k++) /* Should start at cptcovn+1 */
   double *severity;          /* cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
   double ***param; /* Matrix of parameters */          cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
   double  *p;        /* cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,Tvar[Tage[k]])]*cov[2]; */
   double **matcov; /* Matrix of covariance */        for (k=1; k<=cptcovprod;k++) /* Useless because included in cptcovn */
   double ***delti3; /* Scale */          cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)]*nbcode[Tvard[k][2]][codtabm(ij,k)];
   double *delti; /* Scale */        /* cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,Tvard[k][1])]*nbcode[Tvard[k][2]][codtabm(ij,Tvard[k][2])]; */
   double ***eij, ***vareij;        
   double **varpl; /* Variances of prevalence limits by age */        
   double *epj, vepp;        /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/
   double kk1, kk2;        /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/
   double dateprev1, dateprev2,jproj1,mproj1,anproj1,jproj2,mproj2,anproj2;                          /* right multiplication of oldm by the current matrix */
          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, 
                      pmij(pmmij,cov,ncovmodel,x,nlstate));
   char *alph[]={"a","a","b","c","d","e"}, str[4];        /* if((int)age == 70){ */
         /*        printf(" Forward hpxij age=%d agexact=%f d=%d nhstepm=%d hstepm=%d\n", (int) age, agexact, d, nhstepm, hstepm); */
         /*        for(i=1; i<=nlstate+ndeath; i++) { */
   char z[1]="c", occ;        /*          printf("%d pmmij ",i); */
 #include <sys/time.h>        /*          for(j=1;j<=nlstate+ndeath;j++) { */
 #include <time.h>        /*            printf("%f ",pmmij[i][j]); */
   char stra[80], strb[80], strc[80], strd[80],stre[80],modelsav[80];        /*          } */
          /*          printf(" oldm "); */
   /* long total_usecs;        /*          for(j=1;j<=nlstate+ndeath;j++) { */
   struct timeval start_time, end_time;        /*            printf("%f ",oldm[i][j]); */
          /*          } */
   gettimeofday(&start_time, (struct timezone*)0); */ /* at first time */        /*          printf("\n"); */
   getcwd(pathcd, size);        /*        } */
         /* } */
   printf("\n%s",version);        savm=oldm;
   if(argc <=1){        oldm=newm;
     printf("\nEnter the parameter file name: ");      }
     scanf("%s",pathtot);      for(i=1; i<=nlstate+ndeath; i++)
   }        for(j=1;j<=nlstate+ndeath;j++) {
   else{                                  po[i][j][h]=newm[i][j];
     strcpy(pathtot,argv[1]);                                  /*if(h==nhstepm) printf("po[%d][%d][%d]=%f ",i,j,h,po[i][j][h]);*/
   }        }
   /*if(getcwd(pathcd, 80)!= NULL)printf ("Error pathcd\n");*/      /*printf("h=%d ",h);*/
   /*cygwin_split_path(pathtot,path,optionfile);    } /* end h */
     printf("pathtot=%s, path=%s, optionfile=%s\n",pathtot,path,optionfile);*/          /*     printf("\n H=%d \n",h); */
   /* cutv(path,optionfile,pathtot,'\\');*/    return po;
   }
   split(pathtot,path,optionfile,optionfilext,optionfilefiname);  
    printf("pathtot=%s, path=%s, optionfile=%s optionfilext=%s optionfilefiname=%s\n",pathtot,path,optionfile,optionfilext,optionfilefiname);  /************* Higher Back Matrix Product ***************/
   chdir(path);  /* double ***hbxij(double ***po, int nhstepm, double age, int hstepm, double *x, double ***prevacurrent, int nlstate, int stepm, double **oldm, double **savm, double **dnewm, double **doldm, double **dsavm, int ij ) */
   replace(pathc,path);  double ***hbxij(double ***po, int nhstepm, double age, int hstepm, double *x, double ***prevacurrent, int nlstate, int stepm, int ij )
   {
 /*-------- arguments in the command line --------*/    /* Computes the transition matrix starting at age 'age' over
        'nhstepm*hstepm*stepm' months (i.e. until
   strcpy(fileres,"r");       age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying
   strcat(fileres, optionfilefiname);       nhstepm*hstepm matrices.
   strcat(fileres,".txt");    /* Other files have txt extension */       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
   /*---------arguments file --------*/       for the memory).
        Model is determined by parameters x and covariates have to be
   if((ficpar=fopen(optionfile,"r"))==NULL)    {       included manually here.
     printf("Problem with optionfile %s\n",optionfile);  
     goto end;    */
   }  
     int i, j, d, h, k;
   strcpy(filereso,"o");    double **out, cov[NCOVMAX+1];
   strcat(filereso,fileres);    double **newm;
   if((ficparo=fopen(filereso,"w"))==NULL) {    double agexact;
     printf("Problem with Output resultfile: %s\n", filereso);goto end;    double agebegin, ageend;
   }    double **oldm, **savm;
   
   /* Reads comments: lines beginning with '#' */    oldm=oldms;savm=savms;
   while((c=getc(ficpar))=='#' && c!= EOF){    /* Hstepm could be zero and should return the unit matrix */
     ungetc(c,ficpar);    for (i=1;i<=nlstate+ndeath;i++)
     fgets(line, MAXLINE, ficpar);      for (j=1;j<=nlstate+ndeath;j++){
     puts(line);        oldm[i][j]=(i==j ? 1.0 : 0.0);
     fputs(line,ficparo);        po[i][j][0]=(i==j ? 1.0 : 0.0);
   }      }
   ungetc(c,ficpar);    /* Even if hstepm = 1, at least one multiplication by the unit matrix */
     for(h=1; h <=nhstepm; h++){
   fscanf(ficpar,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%lf stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\nmodel=%s\n",title, datafile, &lastobs, &firstpass,&lastpass,&ftol, &stepm, &ncovcol, &nlstate,&ndeath, &maxwav, &mle, &weightopt,model);      for(d=1; d <=hstepm; d++){
   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);        newm=savm;
   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);        /* Covariates have to be included here again */
 while((c=getc(ficpar))=='#' && c!= EOF){        cov[1]=1.;
     ungetc(c,ficpar);        agexact=age-((h-1)*hstepm + (d-1))*stepm/YEARM; /* age just before transition */
     fgets(line, MAXLINE, ficpar);        /* agexact=age+((h-1)*hstepm + (d-1))*stepm/YEARM; /\* age just before transition *\/ */
     puts(line);        cov[2]=agexact;
     fputs(line,ficparo);        if(nagesqr==1)
   }          cov[3]= agexact*agexact;
   ungetc(c,ficpar);        for (k=1; k<=cptcovn;k++)
            cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)];
            /* cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
   covar=matrix(0,NCOVMAX,1,n);        for (k=1; k<=cptcovage;k++) /* Should start at cptcovn+1 */
   cptcovn=0;          /* cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
   if (strlen(model)>1) cptcovn=nbocc(model,'+')+1;          cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
         /* cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,Tvar[Tage[k]])]*cov[2]; */
   ncovmodel=2+cptcovn;        for (k=1; k<=cptcovprod;k++) /* Useless because included in cptcovn */
   nvar=ncovmodel-1; /* Suppressing age as a basic covariate */          cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)]*nbcode[Tvard[k][2]][codtabm(ij,k)];
          /* cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,Tvard[k][1])]*nbcode[Tvard[k][2]][codtabm(ij,Tvard[k][2])]; */
   /* Read guess parameters */                          
   /* Reads comments: lines beginning with '#' */                          
   while((c=getc(ficpar))=='#' && c!= EOF){        /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/
     ungetc(c,ficpar);        /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/
     fgets(line, MAXLINE, ficpar);        /* Careful transposed matrix */
     puts(line);        /* age is in cov[2] */
     fputs(line,ficparo);        /* out=matprod2(newm, bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent, dnewm, doldm, dsavm,ij),\ */
   }        /*                                                 1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); */
   ungetc(c,ficpar);        out=matprod2(newm, bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent,ij),\
                       1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm);
   param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);        /* if((int)age == 70){ */
     for(i=1; i <=nlstate; i++)        /*        printf(" Backward hbxij age=%d agexact=%f d=%d nhstepm=%d hstepm=%d\n", (int) age, agexact, d, nhstepm, hstepm); */
     for(j=1; j <=nlstate+ndeath-1; j++){        /*        for(i=1; i<=nlstate+ndeath; i++) { */
       fscanf(ficpar,"%1d%1d",&i1,&j1);        /*          printf("%d pmmij ",i); */
       fprintf(ficparo,"%1d%1d",i1,j1);        /*          for(j=1;j<=nlstate+ndeath;j++) { */
       printf("%1d%1d",i,j);        /*            printf("%f ",pmmij[i][j]); */
       for(k=1; k<=ncovmodel;k++){        /*          } */
         fscanf(ficpar," %lf",&param[i][j][k]);        /*          printf(" oldm "); */
         printf(" %lf",param[i][j][k]);        /*          for(j=1;j<=nlstate+ndeath;j++) { */
         fprintf(ficparo," %lf",param[i][j][k]);        /*            printf("%f ",oldm[i][j]); */
       }        /*          } */
       fscanf(ficpar,"\n");        /*          printf("\n"); */
       printf("\n");        /*        } */
       fprintf(ficparo,"\n");        /* } */
     }        savm=oldm;
          oldm=newm;
     npar= (nlstate+ndeath-1)*nlstate*ncovmodel;      }
       for(i=1; i<=nlstate+ndeath; i++)
   p=param[1][1];        for(j=1;j<=nlstate+ndeath;j++) {
            po[i][j][h]=newm[i][j];
   /* Reads comments: lines beginning with '#' */          /*if(h==nhstepm) printf("po[%d][%d][%d]=%f ",i,j,h,po[i][j][h]);*/
   while((c=getc(ficpar))=='#' && c!= EOF){        }
     ungetc(c,ficpar);      /*printf("h=%d ",h);*/
     fgets(line, MAXLINE, ficpar);    } /* end h */
     puts(line);    /*     printf("\n H=%d \n",h); */
     fputs(line,ficparo);    return po;
   }  }
   ungetc(c,ficpar);  
   
   delti3= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);  #ifdef NLOPT
   delti=vector(1,npar); /* Scale of each paramater (output from hesscov) */    double  myfunc(unsigned n, const double *p1, double *grad, void *pd){
   for(i=1; i <=nlstate; i++){    double fret;
     for(j=1; j <=nlstate+ndeath-1; j++){    double *xt;
       fscanf(ficpar,"%1d%1d",&i1,&j1);    int j;
       printf("%1d%1d",i,j);    myfunc_data *d2 = (myfunc_data *) pd;
       fprintf(ficparo,"%1d%1d",i1,j1);  /* xt = (p1-1); */
       for(k=1; k<=ncovmodel;k++){    xt=vector(1,n); 
         fscanf(ficpar,"%le",&delti3[i][j][k]);    for (j=1;j<=n;j++)   xt[j]=p1[j-1]; /* xt[1]=p1[0] */
         printf(" %le",delti3[i][j][k]);  
         fprintf(ficparo," %le",delti3[i][j][k]);    fret=(d2->function)(xt); /*  p xt[1]@8 is fine */
       }    /* fret=(*func)(xt); /\*  p xt[1]@8 is fine *\/ */
       fscanf(ficpar,"\n");    printf("Function = %.12lf ",fret);
       printf("\n");    for (j=1;j<=n;j++) printf(" %d %.8lf", j, xt[j]); 
       fprintf(ficparo,"\n");    printf("\n");
     }   free_vector(xt,1,n);
   }    return fret;
   delti=delti3[1][1];  }
    #endif
   /* Reads comments: lines beginning with '#' */  
   while((c=getc(ficpar))=='#' && c!= EOF){  /*************** log-likelihood *************/
     ungetc(c,ficpar);  double func( double *x)
     fgets(line, MAXLINE, ficpar);  {
     puts(line);    int i, ii, j, k, mi, d, kk;
     fputs(line,ficparo);    int ioffset=0;
   }    double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1];
   ungetc(c,ficpar);    double **out;
      double lli; /* Individual log likelihood */
   matcov=matrix(1,npar,1,npar);    int s1, s2;
   for(i=1; i <=npar; i++){    int iv=0, iqv=0, itv=0, iqtv=0 ; /* Index of varying covariate, fixed quantitative cov, time varying covariate, quantitative time varying covariate */
     fscanf(ficpar,"%s",&str);    double bbh, survp;
     printf("%s",str);    long ipmx;
     fprintf(ficparo,"%s",str);    double agexact;
     for(j=1; j <=i; j++){    /*extern weight */
       fscanf(ficpar," %le",&matcov[i][j]);    /* We are differentiating ll according to initial status */
       printf(" %.5le",matcov[i][j]);    /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
       fprintf(ficparo," %.5le",matcov[i][j]);    /*for(i=1;i<imx;i++) 
     }      printf(" %d\n",s[4][i]);
     fscanf(ficpar,"\n");    */
     printf("\n");  
     fprintf(ficparo,"\n");    ++countcallfunc;
   }  
   for(i=1; i <=npar; i++)    cov[1]=1.;
     for(j=i+1;j<=npar;j++)  
       matcov[i][j]=matcov[j][i];    for(k=1; k<=nlstate; k++) ll[k]=0.;
        ioffset=0;
   printf("\n");    if(mle==1){
       for (i=1,ipmx=0, sw=0.; i<=imx; i++){
         /* Computes the values of the ncovmodel covariates of the model
     /*-------- Rewriting paramater file ----------*/           depending if the covariates are fixed or varying (age dependent) and stores them in cov[]
      strcpy(rfileres,"r");    /* "Rparameterfile */           Then computes with function pmij which return a matrix p[i][j] giving the elementary probability
      strcat(rfileres,optionfilefiname);    /* Parameter file first name*/           to be observed in j being in i according to the model.
      strcat(rfileres,".");    /* */        */
      strcat(rfileres,optionfilext);    /* Other files have txt extension */        ioffset=2+nagesqr+cptcovage;
     if((ficres =fopen(rfileres,"w"))==NULL) {        /* for (k=1; k<=cptcovn;k++){ /\* Simple and product covariates without age* products *\/ */
       printf("Problem writing new parameter file: %s\n", fileres);goto end;        for (k=1; k<=ncoveff;k++){ /* Simple and product covariates without age* products */
     }          cov[++ioffset]=covar[Tvar[k]][i];
     fprintf(ficres,"#%s\n",version);        }
            for(iqv=1; iqv <= nqfveff; iqv++){ /* Quantitatives and Fixed covariates */
     /*-------- data file ----------*/          cov[++ioffset]=coqvar[Tvar[iqv]][i];
     if((fic=fopen(datafile,"r"))==NULL)    {        }
       printf("Problem with datafile: %s\n", datafile);goto end;  
     }        /* In model V2+V1*V4+age*V3+V3*V2 Tvar[1] is V2, Tvar[2=V1*V4] 
            is 6, Tvar[3=age*V3] should not be computed because of age Tvar[4=V3*V2] 
     n= lastobs;           has been calculated etc */
     severity = vector(1,maxwav);        /* For an individual i, wav[i] gives the number of effective waves */
     outcome=imatrix(1,maxwav+1,1,n);        /* We compute the contribution to Likelihood of each effective transition
     num=ivector(1,n);           mw[mi][i] is real wave of the mi th effectve wave */
     moisnais=vector(1,n);        /* Then statuses are computed at each begin and end of an effective wave s1=s[ mw[mi][i] ][i];
     annais=vector(1,n);           s2=s[mw[mi+1][i]][i];
     moisdc=vector(1,n);           And the iv th varying covariate is the cotvar[mw[mi+1][i]][iv][i]
     andc=vector(1,n);           But if the variable is not in the model TTvar[iv] is the real variable effective in the model:
     agedc=vector(1,n);           meaning that decodemodel should be used cotvar[mw[mi+1][i]][TTvar[iv]][i]
     cod=ivector(1,n);        */
     weight=vector(1,n);        for(mi=1; mi<= wav[i]-1; mi++){
     for(i=1;i<=n;i++) weight[i]=1.0; /* Equal weights, 1 by default */          for(itv=1; itv <= ntveff; itv++){ /* Varying dummy covariates */
     mint=matrix(1,maxwav,1,n);            /* cov[ioffset+itv]=cotvar[mw[mi][i]][Tvar[itv]][i]; /\* Not sure, Tvar V4+V3+V5 Tvaraff ? *\/ */
     anint=matrix(1,maxwav,1,n);            cov[ioffset+itv]=cotvar[mw[mi][i]][TmodelInvind[itv]][i];
     s=imatrix(1,maxwav+1,1,n);          }
     adl=imatrix(1,maxwav+1,1,n);              for(iqtv=1; iqtv <= nqtveff; iqtv++){ /* Varying quantitatives covariates */
     tab=ivector(1,NCOVMAX);            if(cotqvar[mw[mi][i]][iqtv][i] == -1){
     ncodemax=ivector(1,8);              printf("i=%d, mi=%d, iqtv=%d, cotqvar[mw[mi][i]][iqtv][i]=%f",i,mi,iqtv,cotqvar[mw[mi][i]][iqtv][i]);
             }
     i=1;            cov[ioffset+ntveff+iqtv]=cotqvar[mw[mi][i]][TmodelInvQind[iqtv]][i];
     while (fgets(line, MAXLINE, fic) != NULL)    {            /* cov[ioffset+ntveff+iqtv]=cotqvar[mw[mi][i]][iqtv][i]; */
       if ((i >= firstobs) && (i <=lastobs)) {          }
                  /* ioffset=2+nagesqr+cptcovn+nqv+ntv+nqtv; */
         for (j=maxwav;j>=1;j--){          for (ii=1;ii<=nlstate+ndeath;ii++)
           cutv(stra, strb,line,' '); s[j][i]=atoi(strb);            for (j=1;j<=nlstate+ndeath;j++){
           strcpy(line,stra);              oldm[ii][j]=(ii==j ? 1.0 : 0.0);
           cutv(stra, strb,line,'/'); anint[j][i]=(double)(atoi(strb)); strcpy(line,stra);              savm[ii][j]=(ii==j ? 1.0 : 0.0);
           cutv(stra, strb,line,' '); mint[j][i]=(double)(atoi(strb)); strcpy(line,stra);            }
         }          for(d=0; d<dh[mi][i]; d++){
                    newm=savm;
         cutv(stra, strb,line,'/'); andc[i]=(double)(atoi(strb)); strcpy(line,stra);            agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
         cutv(stra, strb,line,' '); moisdc[i]=(double)(atoi(strb)); strcpy(line,stra);            cov[2]=agexact;
             if(nagesqr==1)
         cutv(stra, strb,line,'/'); annais[i]=(double)(atoi(strb)); strcpy(line,stra);              cov[3]= agexact*agexact;  /* Should be changed here */
         cutv(stra, strb,line,' '); moisnais[i]=(double)(atoi(strb)); strcpy(line,stra);            for (kk=1; kk<=cptcovage;kk++) {
               cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact; /* Tage[kk] gives the data-covariate associated with age */
         cutv(stra, strb,line,' '); weight[i]=(double)(atoi(strb)); strcpy(line,stra);            }
         for (j=ncovcol;j>=1;j--){            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
           cutv(stra, strb,line,' '); covar[j][i]=(double)(atoi(strb)); strcpy(line,stra);                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
         }            savm=oldm;
         num[i]=atol(stra);            oldm=newm;
                  } /* end mult */
         /*if((s[2][i]==2) && (s[3][i]==-1)&&(s[4][i]==9)){                                  
           printf("%d %.lf %.lf %.lf %.lf/%.lf %.lf/%.lf %.lf/%.lf %d %.lf/%.lf %d %.lf/%.lf %d %.lf/%.lf %d\n",num[i],(covar[1][i]), (covar[2][i]),weight[i], (moisnais[i]), (annais[i]), (moisdc[i]), (andc[i]), (mint[1][i]), (anint[1][i]), (s[1][i]),  (mint[2][i]), (anint[2][i]), (s[2][i]),  (mint[3][i]), (anint[3][i]), (s[3][i]),  (mint[4][i]), (anint[4][i]), (s[4][i])); ij=ij+1;}*/          /*lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);*/ /* Original formula */
           /* But now since version 0.9 we anticipate for bias at large stepm.
         i=i+1;           * If stepm is larger than one month (smallest stepm) and if the exact delay 
       }           * (in months) between two waves is not a multiple of stepm, we rounded to 
     }           * the nearest (and in case of equal distance, to the lowest) interval but now
     /* printf("ii=%d", ij);           * we keep into memory the bias bh[mi][i] and also the previous matrix product
        scanf("%d",i);*/           * (i.e to dh[mi][i]-1) saved in 'savm'. Then we inter(extra)polate the
   imx=i-1; /* Number of individuals */           * probability in order to take into account the bias as a fraction of the way
            * from savm to out if bh is negative or even beyond if bh is positive. bh varies
   /* for (i=1; i<=imx; i++){           * -stepm/2 to stepm/2 .
     if ((s[1][i]==3) && (s[2][i]==2)) s[2][i]=3;           * For stepm=1 the results are the same as for previous versions of Imach.
     if ((s[2][i]==3) && (s[3][i]==2)) s[3][i]=3;           * For stepm > 1 the results are less biased than in previous versions. 
     if ((s[3][i]==3) && (s[4][i]==2)) s[4][i]=3;           */
     }*/          s1=s[mw[mi][i]][i];
    /*  for (i=1; i<=imx; i++){          s2=s[mw[mi+1][i]][i];
      if (s[4][i]==9)  s[4][i]=-1;          bbh=(double)bh[mi][i]/(double)stepm; 
      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]));}*/          /* bias bh is positive if real duration
             * is higher than the multiple of stepm and negative otherwise.
             */
   /* Calculation of the number of parameter from char model*/          /* lli= (savm[s1][s2]>1.e-8 ?(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]):log((1.+bbh)*out[s1][s2]));*/
   Tvar=ivector(1,15);          if( s2 > nlstate){ 
   Tprod=ivector(1,15);            /* i.e. if s2 is a death state and if the date of death is known 
   Tvaraff=ivector(1,15);               then the contribution to the likelihood is the probability to 
   Tvard=imatrix(1,15,1,2);               die between last step unit time and current  step unit time, 
   Tage=ivector(1,15);                     which is also equal to probability to die before dh 
                   minus probability to die before dh-stepm . 
   if (strlen(model) >1){               In version up to 0.92 likelihood was computed
     j=0, j1=0, k1=1, k2=1;               as if date of death was unknown. Death was treated as any other
     j=nbocc(model,'+');               health state: the date of the interview describes the actual state
     j1=nbocc(model,'*');               and not the date of a change in health state. The former idea was
     cptcovn=j+1;               to consider that at each interview the state was recorded
     cptcovprod=j1;               (healthy, disable or death) and IMaCh was corrected; but when we
                   introduced the exact date of death then we should have modified
     strcpy(modelsav,model);               the contribution of an exact death to the likelihood. This new
     if ((strcmp(model,"age")==0) || (strcmp(model,"age*age")==0)){               contribution is smaller and very dependent of the step unit
       printf("Error. Non available option model=%s ",model);               stepm. It is no more the probability to die between last interview
       goto end;               and month of death but the probability to survive from last
     }               interview up to one month before death multiplied by the
                   probability to die within a month. Thanks to Chris
     for(i=(j+1); i>=1;i--){               Jackson for correcting this bug.  Former versions increased
       cutv(stra,strb,modelsav,'+');               mortality artificially. The bad side is that we add another loop
       if (nbocc(modelsav,'+')==0) strcpy(strb,modelsav);               which slows down the processing. The difference can be up to 10%
       /*      printf("i=%d a=%s b=%s sav=%s\n",i, stra,strb,modelsav);*/               lower mortality.
       /*scanf("%d",i);*/            */
       if (strchr(strb,'*')) {            /* If, at the beginning of the maximization mostly, the
         cutv(strd,strc,strb,'*');               cumulative probability or probability to be dead is
         if (strcmp(strc,"age")==0) {               constant (ie = 1) over time d, the difference is equal to
           cptcovprod--;               0.  out[s1][3] = savm[s1][3]: probability, being at state
           cutv(strb,stre,strd,'V');               s1 at precedent wave, to be dead a month before current
           Tvar[i]=atoi(stre);               wave is equal to probability, being at state s1 at
           cptcovage++;               precedent wave, to be dead at mont of the current
             Tage[cptcovage]=i;               wave. Then the observed probability (that this person died)
             /*printf("stre=%s ", stre);*/               is null according to current estimated parameter. In fact,
         }               it should be very low but not zero otherwise the log go to
         else if (strcmp(strd,"age")==0) {               infinity.
           cptcovprod--;            */
           cutv(strb,stre,strc,'V');  /* #ifdef INFINITYORIGINAL */
           Tvar[i]=atoi(stre);  /*          lli=log(out[s1][s2] - savm[s1][s2]); */
           cptcovage++;  /* #else */
           Tage[cptcovage]=i;  /*        if ((out[s1][s2] - savm[s1][s2]) < mytinydouble)  */
         }  /*          lli=log(mytinydouble); */
         else {  /*        else */
           cutv(strb,stre,strc,'V');  /*          lli=log(out[s1][s2] - savm[s1][s2]); */
           Tvar[i]=ncovcol+k1;  /* #endif */
           cutv(strb,strc,strd,'V');            lli=log(out[s1][s2] - savm[s1][s2]);
           Tprod[k1]=i;            
           Tvard[k1][1]=atoi(strc);          } else if  ( s2==-1 ) { /* alive */
           Tvard[k1][2]=atoi(stre);            for (j=1,survp=0. ; j<=nlstate; j++) 
           Tvar[cptcovn+k2]=Tvard[k1][1];              survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
           Tvar[cptcovn+k2+1]=Tvard[k1][2];            /*survp += out[s1][j]; */
           for (k=1; k<=lastobs;k++)            lli= log(survp);
             covar[ncovcol+k1][k]=covar[atoi(stre)][k]*covar[atoi(strc)][k];          }
           k1++;          else if  (s2==-4) { 
           k2=k2+2;            for (j=3,survp=0. ; j<=nlstate; j++)  
         }              survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
       }            lli= log(survp); 
       else {          } 
         /*printf("d=%s c=%s b=%s\n", strd,strc,strb);*/          else if  (s2==-5) { 
        /*  scanf("%d",i);*/            for (j=1,survp=0. ; j<=2; j++)  
       cutv(strd,strc,strb,'V');              survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
       Tvar[i]=atoi(strc);            lli= log(survp); 
       }          } 
       strcpy(modelsav,stra);            else{
       /*printf("a=%s b=%s sav=%s\n", stra,strb,modelsav);            lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
         scanf("%d",i);*/            /*  lli= (savm[s1][s2]>(double)1.e-8 ?log((1.+bbh)*out[s1][s2]- bbh*(savm[s1][s2])):log((1.+bbh)*out[s1][s2]));*/ /* linear interpolation */
     }          } 
 }          /*lli=(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]);*/
            /*if(lli ==000.0)*/
   /* printf("tvar1=%d tvar2=%d tvar3=%d cptcovage=%d Tage=%d",Tvar[1],Tvar[2],Tvar[3],cptcovage,Tage[1]);          /*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); */
   printf("cptcovprod=%d ", cptcovprod);          ipmx +=1;
   scanf("%d ",i);*/          sw += weight[i];
     fclose(fic);          ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
           /* if (lli < log(mytinydouble)){ */
     /*  if(mle==1){*/          /*   printf("Close to inf lli = %.10lf <  %.10lf i= %d mi= %d, s[%d][i]=%d s1=%d s2=%d\n", lli,log(mytinydouble), i, mi,mw[mi][i], s[mw[mi][i]][i], s1,s2); */
     if (weightopt != 1) { /* Maximisation without weights*/          /*   fprintf(ficlog,"Close to inf lli = %.10lf i= %d mi= %d, s[mw[mi][i]][i]=%d\n", lli, i, mi,s[mw[mi][i]][i]); */
       for(i=1;i<=n;i++) weight[i]=1.0;          /* } */
     }        } /* end of wave */
     /*-calculation of age at interview from date of interview and age at death -*/      } /* end of individual */
     agev=matrix(1,maxwav,1,imx);    }  else if(mle==2){
       for (i=1,ipmx=0, sw=0.; i<=imx; i++){
     for (i=1; i<=imx; i++) {        for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
       for(m=2; (m<= maxwav); m++) {        for(mi=1; mi<= wav[i]-1; mi++){
        if ((mint[m][i]== 99) && (s[m][i] <= nlstate)){          for (ii=1;ii<=nlstate+ndeath;ii++)
          anint[m][i]=9999;            for (j=1;j<=nlstate+ndeath;j++){
          s[m][i]=-1;              oldm[ii][j]=(ii==j ? 1.0 : 0.0);
        }              savm[ii][j]=(ii==j ? 1.0 : 0.0);
      if(moisdc[i]==99 && andc[i]==9999 & s[m][i]>nlstate) s[m][i]=-1;            }
       }          for(d=0; d<=dh[mi][i]; d++){
     }            newm=savm;
             agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
     for (i=1; i<=imx; i++)  {            cov[2]=agexact;
       agedc[i]=(moisdc[i]/12.+andc[i])-(moisnais[i]/12.+annais[i]);            if(nagesqr==1)
       for(m=1; (m<= maxwav); m++){              cov[3]= agexact*agexact;
         if(s[m][i] >0){            for (kk=1; kk<=cptcovage;kk++) {
           if (s[m][i] >= nlstate+1) {              cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
             if(agedc[i]>0)            }
               if(moisdc[i]!=99 && andc[i]!=9999)            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                 agev[m][i]=agedc[i];                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
             /*if(moisdc[i]==99 && andc[i]==9999) s[m][i]=-1;*/            savm=oldm;
            else {            oldm=newm;
               if (andc[i]!=9999){          } /* end mult */
               printf("Warning negative age at death: %d line:%d\n",num[i],i);        
               agev[m][i]=-1;          s1=s[mw[mi][i]][i];
               }          s2=s[mw[mi+1][i]][i];
             }          bbh=(double)bh[mi][i]/(double)stepm; 
           }          lli= (savm[s1][s2]>(double)1.e-8 ?log((1.+bbh)*out[s1][s2]- bbh*(savm[s1][s2])):log((1.+bbh)*out[s1][s2])); /* linear interpolation */
           else if(s[m][i] !=9){ /* Should no more exist */          ipmx +=1;
             agev[m][i]=(mint[m][i]/12.+1./24.+anint[m][i])-(moisnais[i]/12.+1./24.+annais[i]);          sw += weight[i];
             if(mint[m][i]==99 || anint[m][i]==9999)          ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
               agev[m][i]=1;        } /* end of wave */
             else if(agev[m][i] <agemin){      } /* end of individual */
               agemin=agev[m][i];    }  else if(mle==3){  /* exponential inter-extrapolation */
               /*printf(" Min anint[%d][%d]=%.2f annais[%d]=%.2f, agemin=%.2f\n",m,i,anint[m][i], i,annais[i], agemin);*/      for (i=1,ipmx=0, sw=0.; i<=imx; i++){
             }        for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
             else if(agev[m][i] >agemax){        for(mi=1; mi<= wav[i]-1; mi++){
               agemax=agev[m][i];          for (ii=1;ii<=nlstate+ndeath;ii++)
              /* printf(" anint[%d][%d]=%.0f annais[%d]=%.0f, agemax=%.0f\n",m,i,anint[m][i], i,annais[i], agemax);*/            for (j=1;j<=nlstate+ndeath;j++){
             }              oldm[ii][j]=(ii==j ? 1.0 : 0.0);
             /*agev[m][i]=anint[m][i]-annais[i];*/              savm[ii][j]=(ii==j ? 1.0 : 0.0);
             /*   agev[m][i] = age[i]+2*m;*/            }
           }          for(d=0; d<dh[mi][i]; d++){
           else { /* =9 */            newm=savm;
             agev[m][i]=1;            agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
             s[m][i]=-1;            cov[2]=agexact;
           }            if(nagesqr==1)
         }              cov[3]= agexact*agexact;
         else /*= 0 Unknown */            for (kk=1; kk<=cptcovage;kk++) {
           agev[m][i]=1;              cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
       }            }
                out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
     }                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
     for (i=1; i<=imx; i++)  {            savm=oldm;
       for(m=1; (m<= maxwav); m++){            oldm=newm;
         if (s[m][i] > (nlstate+ndeath)) {          } /* end mult */
           printf("Error: Wrong value in nlstate or ndeath\n");          
           goto end;          s1=s[mw[mi][i]][i];
         }          s2=s[mw[mi+1][i]][i];
       }          bbh=(double)bh[mi][i]/(double)stepm; 
     }          lli= (savm[s1][s2]>1.e-8 ?(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]):log((1.+bbh)*out[s1][s2])); /* exponential inter-extrapolation */
           ipmx +=1;
 printf("Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, agemin, agemax);          sw += weight[i];
           ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
     free_vector(severity,1,maxwav);        } /* end of wave */
     free_imatrix(outcome,1,maxwav+1,1,n);      } /* end of individual */
     free_vector(moisnais,1,n);    }else if (mle==4){  /* ml=4 no inter-extrapolation */
     free_vector(annais,1,n);      for (i=1,ipmx=0, sw=0.; i<=imx; i++){
     /* free_matrix(mint,1,maxwav,1,n);        for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
        free_matrix(anint,1,maxwav,1,n);*/        for(mi=1; mi<= wav[i]-1; mi++){
     free_vector(moisdc,1,n);          for (ii=1;ii<=nlstate+ndeath;ii++)
     free_vector(andc,1,n);            for (j=1;j<=nlstate+ndeath;j++){
               oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                  savm[ii][j]=(ii==j ? 1.0 : 0.0);
     wav=ivector(1,imx);            }
     dh=imatrix(1,lastpass-firstpass+1,1,imx);          for(d=0; d<dh[mi][i]; d++){
     mw=imatrix(1,lastpass-firstpass+1,1,imx);            newm=savm;
                agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
     /* Concatenates waves */            cov[2]=agexact;
       concatwav(wav, dh, mw, s, agedc, agev,  firstpass, lastpass, imx, nlstate, stepm);            if(nagesqr==1)
               cov[3]= agexact*agexact;
             for (kk=1; kk<=cptcovage;kk++) {
       Tcode=ivector(1,100);              cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
       nbcode=imatrix(0,NCOVMAX,0,NCOVMAX);            }
       ncodemax[1]=1;          
       if (cptcovn > 0) tricode(Tvar,nbcode,imx);            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                               1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
    codtab=imatrix(1,100,1,10);            savm=oldm;
    h=0;            oldm=newm;
    m=pow(2,cptcoveff);          } /* end mult */
          
    for(k=1;k<=cptcoveff; k++){          s1=s[mw[mi][i]][i];
      for(i=1; i <=(m/pow(2,k));i++){          s2=s[mw[mi+1][i]][i];
        for(j=1; j <= ncodemax[k]; j++){          if( s2 > nlstate){ 
          for(cpt=1; cpt <=(m/pow(2,cptcoveff+1-k)); cpt++){            lli=log(out[s1][s2] - savm[s1][s2]);
            h++;          } else if  ( s2==-1 ) { /* alive */
            if (h>m) h=1;codtab[h][k]=j;codtab[h][Tvar[k]]=j;            for (j=1,survp=0. ; j<=nlstate; j++) 
            /*  printf("h=%d k=%d j=%d codtab[h][k]=%d tvar[k]=%d \n",h, k,j,codtab[h][k],Tvar[k]);*/              survp += out[s1][j];
          }            lli= log(survp);
        }          }else{
      }            lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
    }          }
    /* printf("codtab[1][2]=%d codtab[2][2]=%d",codtab[1][2],codtab[2][2]);          ipmx +=1;
       codtab[1][2]=1;codtab[2][2]=2; */          sw += weight[i];
    /* for(i=1; i <=m ;i++){          ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
       for(k=1; k <=cptcovn; 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]); */
       printf("i=%d k=%d %d %d ",i,k,codtab[i][k], cptcoveff);        } /* end of wave */
       }      } /* end of individual */
       printf("\n");    }else{  /* ml=5 no inter-extrapolation no jackson =0.8a */
       }      for (i=1,ipmx=0, sw=0.; i<=imx; i++){
       scanf("%d",i);*/        for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
            for(mi=1; mi<= wav[i]-1; mi++){
    /* Calculates basic frequencies. Computes observed prevalence at single age          for (ii=1;ii<=nlstate+ndeath;ii++)
        and prints on file fileres'p'. */            for (j=1;j<=nlstate+ndeath;j++){
               oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                  savm[ii][j]=(ii==j ? 1.0 : 0.0);
                }
     pmmij= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */          for(d=0; d<dh[mi][i]; d++){
     oldms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */            newm=savm;
     newms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */            agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
     savms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */            cov[2]=agexact;
     oldm=oldms; newm=newms; savm=savms; /* Keeps fixed addresses to free */            if(nagesqr==1)
                    cov[3]= agexact*agexact;
     /* For Powell, parameters are in a vector p[] starting at p[1]            for (kk=1; kk<=cptcovage;kk++) {
        so we point p on param[1][1] so that p[1] maps on param[1][1][1] */              cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
     p=param[1][1]; /* *(*(*(param +1)+1)+0) */            }
           
     if(mle==1){            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
     mlikeli(ficres,p, npar, ncovmodel, nlstate, ftol, func);                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
     }            savm=oldm;
                oldm=newm;
     /*--------- results files --------------*/          } /* end mult */
     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);        
            s1=s[mw[mi][i]][i];
           s2=s[mw[mi+1][i]][i];
    jk=1;          lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
    fprintf(ficres,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");          ipmx +=1;
    printf("# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");          sw += weight[i];
    for(i=1,jk=1; i <=nlstate; i++){          ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
      for(k=1; k <=(nlstate+ndeath); 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]);*/
        if (k != i)        } /* end of wave */
          {      } /* end of individual */
            printf("%d%d ",i,k);    } /* End of if */
            fprintf(ficres,"%1d%1d ",i,k);    for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
            for(j=1; j <=ncovmodel; j++){    /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
              printf("%f ",p[jk]);    l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
              fprintf(ficres,"%f ",p[jk]);    return -l;
              jk++;  }
            }  
            printf("\n");  /*************** log-likelihood *************/
            fprintf(ficres,"\n");  double funcone( double *x)
          }  {
      }    /* Same as func but slower because of a lot of printf and if */
    }    int i, ii, j, k, mi, d, kk;
  if(mle==1){    int ioffset=0;
     /* Computing hessian and covariance matrix */    double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1];
     ftolhess=ftol; /* Usually correct */    double **out;
     hesscov(matcov, p, npar, delti, ftolhess, func);    double lli; /* Individual log likelihood */
  }    double llt;
     fprintf(ficres,"# Scales (for hessian or gradient estimation)\n");    int s1, s2;
     printf("# Scales (for hessian or gradient estimation)\n");    int iv=0, iqv=0, itv=0, iqtv=0 ; /* Index of varying covariate, fixed quantitative cov, time varying covariate, quantitative time varying covariate */
      for(i=1,jk=1; i <=nlstate; i++){  
       for(j=1; j <=nlstate+ndeath; j++){    double bbh, survp;
         if (j!=i) {    double agexact;
           fprintf(ficres,"%1d%1d",i,j);    double agebegin, ageend;
           printf("%1d%1d",i,j);    /*extern weight */
           for(k=1; k<=ncovmodel;k++){    /* We are differentiating ll according to initial status */
             printf(" %.5e",delti[jk]);    /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
             fprintf(ficres," %.5e",delti[jk]);    /*for(i=1;i<imx;i++) 
             jk++;      printf(" %d\n",s[4][i]);
           }    */
           printf("\n");    cov[1]=1.;
           fprintf(ficres,"\n");  
         }    for(k=1; k<=nlstate; k++) ll[k]=0.;
       }    ioffset=0;
      }    for (i=1,ipmx=0, sw=0.; i<=imx; i++){
          ioffset=2+nagesqr+cptcovage;
     k=1;      /* for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i]; */
     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");      for (k=1; k<=ncoveff+nqfveff;k++){ /* Simple and product fixed covariates without age* products */
     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");        cov[++ioffset]=covar[Tvar[k]][i];
     for(i=1;i<=npar;i++){      }
       /*  if (k>nlstate) k=1;      for(iqv=1; iqv <= nqfveff; iqv++){ /* Quantitative fixed covariates */
       i1=(i-1)/(ncovmodel*nlstate)+1;        cov[++ioffset]=coqvar[Tvar[iqv]][i];
       fprintf(ficres,"%s%d%d",alph[k],i1,tab[i]);      }
       printf("%s%d%d",alph[k],i1,tab[i]);*/      
       fprintf(ficres,"%3d",i);      for(mi=1; mi<= wav[i]-1; mi++){  /* Varying with waves */
       printf("%3d",i);        for(itv=1; itv <= ntveff; itv++){ /* Varying dummy covariates */
       for(j=1; j<=i;j++){          /* iv= Tvar[Tmodelind[ioffset-2-nagesqr-cptcovage+itv]]-ncovcol-nqv; /\* Counting the # varying covariate from 1 to ntveff *\/ */
         fprintf(ficres," %.5e",matcov[i][j]);          /* cov[ioffset+iv]=cotvar[mw[mi][i]][iv][i]; */
         printf(" %.5e",matcov[i][j]);          k=ioffset-2-nagesqr-cptcovage+itv; /* position in simple model */
       }          cov[ioffset+itv]=cotvar[mw[mi][i]][TmodelInvind[itv]][i];
       fprintf(ficres,"\n");          /* printf(" i=%d,mi=%d,itv=%d,TmodelInvind[itv]=%d,cotvar[mw[mi][i]][TmodelInvind[itv]][i]=%f\n", i, mi, itv, TmodelInvind[itv],cotvar[mw[mi][i]][TmodelInvind[itv]][i]); */
       printf("\n");        }
       k++;        for(iqtv=1; iqtv <= nqtveff; iqtv++){ /* Varying quantitatives covariates */
     }          iv=TmodelInvQind[iqtv]; /* Counting the # varying covariate from 1 to ntveff */
              /* printf(" i=%d,mi=%d,iqtv=%d,TmodelInvQind[iqtv]=%d,cotqvar[mw[mi][i]][TmodelInvQind[iqtv]][i]=%f\n", i, mi, iqtv, TmodelInvQind[iqtv],cotqvar[mw[mi][i]][TmodelInvQind[iqtv]][i]); */
     while((c=getc(ficpar))=='#' && c!= EOF){          cov[ioffset+ntveff+iqtv]=cotqvar[mw[mi][i]][TmodelInvQind[iqtv]][i];
       ungetc(c,ficpar);        }
       fgets(line, MAXLINE, ficpar);        for (ii=1;ii<=nlstate+ndeath;ii++)
       puts(line);          for (j=1;j<=nlstate+ndeath;j++){
       fputs(line,ficparo);            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
     }            savm[ii][j]=(ii==j ? 1.0 : 0.0);
     ungetc(c,ficpar);          }
     estepm=0;        
     fscanf(ficpar,"agemin=%lf agemax=%lf bage=%lf fage=%lf estepm=%d\n",&ageminpar,&agemaxpar, &bage, &fage, &estepm);        agebegin=agev[mw[mi][i]][i]; /* Age at beginning of effective wave */
     if (estepm==0 || estepm < stepm) estepm=stepm;        ageend=agev[mw[mi][i]][i] + (dh[mi][i])*stepm/YEARM; /* Age at end of effective wave and at the end of transition */
     if (fage <= 2) {        for(d=0; d<dh[mi][i]; d++){  /* Delay between two effective waves */
       bage = ageminpar;          /*dh[m][i] or dh[mw[mi][i]][i] is the delay between two effective waves m=mw[mi][i]
       fage = agemaxpar;            and mw[mi+1][i]. dh depends on stepm.*/
     }          newm=savm;
              agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
     fprintf(ficres,"# agemin agemax for life expectancy, bage fage (if mle==0 ie no data nor Max likelihood).\n");          cov[2]=agexact;
     fprintf(ficres,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d\n",ageminpar,agemaxpar,bage,fage, estepm);          if(nagesqr==1)
     fprintf(ficparo,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d\n",ageminpar,agemaxpar,bage,fage, estepm);            cov[3]= agexact*agexact;
            for (kk=1; kk<=cptcovage;kk++) {
     while((c=getc(ficpar))=='#' && c!= EOF){            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
     ungetc(c,ficpar);          }
     fgets(line, MAXLINE, ficpar);          /* printf("i=%d,mi=%d,d=%d,mw[mi][i]=%d\n",i, mi,d,mw[mi][i]); */
     puts(line);          /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
     fputs(line,ficparo);          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
   }                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
   ungetc(c,ficpar);          /* out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath, */
            /*           1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate)); */
   fscanf(ficpar,"begin-prev-date=%lf/%lf/%lf end-prev-date=%lf/%lf/%lf\n",&jprev1, &mprev1,&anprev1,&jprev2, &mprev2,&anprev2);          savm=oldm;
   fprintf(ficparo,"begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);          oldm=newm;
  fprintf(ficres,"begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);        } /* end mult */
              
   while((c=getc(ficpar))=='#' && c!= EOF){        s1=s[mw[mi][i]][i];
     ungetc(c,ficpar);        s2=s[mw[mi+1][i]][i];
     fgets(line, MAXLINE, ficpar);        /* if(s2==-1){ */
     puts(line);        /*        printf(" s1=%d, s2=%d i=%d \n", s1, s2, i); */
     fputs(line,ficparo);        /*        /\* exit(1); *\/ */
   }        /* } */
   ungetc(c,ficpar);        bbh=(double)bh[mi][i]/(double)stepm; 
          /* bias is positive if real duration
          * is higher than the multiple of stepm and negative otherwise.
    dateprev1=anprev1+mprev1/12.+jprev1/365.;         */
    dateprev2=anprev2+mprev2/12.+jprev2/365.;        if( s2 > nlstate && (mle <5) ){  /* Jackson */
           lli=log(out[s1][s2] - savm[s1][s2]);
   fscanf(ficpar,"pop_based=%d\n",&popbased);        } else if  ( s2==-1 ) { /* alive */
   fprintf(ficparo,"pop_based=%d\n",popbased);            for (j=1,survp=0. ; j<=nlstate; j++) 
   fprintf(ficres,"pop_based=%d\n",popbased);              survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
            lli= log(survp);
   while((c=getc(ficpar))=='#' && c!= EOF){        }else if (mle==1){
     ungetc(c,ficpar);          lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
     fgets(line, MAXLINE, ficpar);        } else if(mle==2){
     puts(line);          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 */
     fputs(line,ficparo);        } 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 */
   ungetc(c,ficpar);        } else if (mle==4){  /* mle=4 no inter-extrapolation */
           lli=log(out[s1][s2]); /* Original formula */
   fscanf(ficpar,"starting-proj-date=%lf/%lf/%lf final-proj-date=%lf/%lf/%lf mov_average=%d\n",&jproj1,&mproj1,&anproj1,&jproj2,&mproj2,&anproj2,&mobilav);        } else{  /* mle=0 back to 1 */
 fprintf(ficparo,"starting-proj-date=%.lf/%.lf/%.lf final-proj-date=%.lf/%.lf/%.lf mov_average=%d\n",jproj1,mproj1,anproj1,jproj2,mproj2,anproj2,mobilav);          lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
 fprintf(ficres,"starting-proj-date=%.lf/%.lf/%.lf final-proj-date=%.lf/%.lf/%.lf mov_average=%d\n",jproj1,mproj1,anproj1,jproj2,mproj2,anproj2,mobilav);          /*lli=log(out[s1][s2]); */ /* Original formula */
         } /* End of if */
         ipmx +=1;
 while((c=getc(ficpar))=='#' && c!= EOF){        sw += weight[i];
     ungetc(c,ficpar);        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
     fgets(line, MAXLINE, ficpar);        /*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]); */
     puts(line);        if(globpr){
     fputs(line,ficparo);          fprintf(ficresilk,"%9ld %6.1f %6.1f %6d %2d %2d %2d %2d %3d %15.6f %8.4f %8.3f\
   }   %11.6f %11.6f %11.6f ", \
   ungetc(c,ficpar);                  num[i], agebegin, ageend, i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],weight[i]*gipmx/gsw,
                   2*weight[i]*lli,out[s1][s2],savm[s1][s2]);
   fscanf(ficpar,"popforecast=%d popfile=%s popfiledate=%lf/%lf/%lf last-popfiledate=%lf/%lf/%lf\n",&popforecast,popfile,&jpyram,&mpyram,&anpyram,&jpyram1,&mpyram1,&anpyram1);          for(k=1,llt=0.,l=0.; k<=nlstate; k++){
   fprintf(ficparo,"popforecast=%d popfile=%s popfiledate=%.lf/%.lf/%.lf last-popfiledate=%.lf/%.lf/%.lf\n",popforecast,popfile,jpyram,mpyram,anpyram,jpyram1,mpyram1,anpyram1);            llt +=ll[k]*gipmx/gsw;
   fprintf(ficres,"popforecast=%d popfile=%s popfiledate=%.lf/%.lf/%.lf last-popfiledate=%.lf/%.lf/%.lf\n",popforecast,popfile,jpyram,mpyram,anpyram,jpyram1,mpyram1,anpyram1);            fprintf(ficresilk," %10.6f",-ll[k]*gipmx/gsw);
           }
  freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvar,nbcode, ncodemax,mint,anint,dateprev1,dateprev2,jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);          fprintf(ficresilk," %10.6f\n", -llt);
         }
 /*------------ gnuplot -------------*/      } /* end of wave */
   strcpy(optionfilegnuplot,optionfilefiname);    } /* end of individual */
   strcat(optionfilegnuplot,".gp");    for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
   if((ficgp=fopen(optionfilegnuplot,"w"))==NULL) {    /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
     printf("Problem with file %s",optionfilegnuplot);    l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
   }    if(globpr==0){ /* First time we count the contributions and weights */
   fclose(ficgp);      gipmx=ipmx;
  printinggnuplot(fileres, ageminpar,agemaxpar,fage, pathc,p);      gsw=sw;
 /*--------- index.htm --------*/    }
     return -l;
   strcpy(optionfilehtm,optionfile);  }
   strcat(optionfilehtm,".htm");  
   if((fichtm=fopen(optionfilehtm,"w"))==NULL)    {  
     printf("Problem with %s \n",optionfilehtm), exit(0);  /*************** function likelione ***********/
   }  void likelione(FILE *ficres,double p[], int npar, int nlstate, int *globpri, long *ipmx, double *sw, double *fretone, double (*funcone)(double []))
   {
   fprintf(fichtm,"<body> <font size=\"2\">%s </font> <hr size=\"2\" color=\"#EC5E5E\"> \n    /* This routine should help understanding what is done with 
 Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=%s<br>\n       the selection of individuals/waves and
 \n       to check the exact contribution to the likelihood.
 Total number of observations=%d <br>\n       Plotting could be done.
 Interval (in months) between two waves: Min=%d Max=%d Mean=%.2lf<br>\n     */
 <hr  size=\"2\" color=\"#EC5E5E\">    int k;
  <ul><li><h4>Parameter files</h4>\n  
  - Copy of the parameter file: <a href=\"o%s\">o%s</a><br>\n    if(*globpri !=0){ /* Just counts and sums, no printings */
  - Gnuplot file name: <a href=\"%s\">%s</a></ul>\n",version,title,datafile,firstpass,lastpass,stepm, weightopt,model,imx,jmin,jmax,jmean,fileres,fileres,optionfilegnuplot,optionfilegnuplot);      strcpy(fileresilk,"ILK_"); 
   fclose(fichtm);      strcat(fileresilk,fileresu);
       if((ficresilk=fopen(fileresilk,"w"))==NULL) {
  printinghtml(fileres,title,datafile, firstpass, lastpass, stepm, weightopt,model,imx,jmin,jmax,jmean,rfileres,popforecast,estepm,jprev1,mprev1,anprev1,jprev2,mprev2,anprev2);        printf("Problem with resultfile: %s\n", fileresilk);
          fprintf(ficlog,"Problem with resultfile: %s\n", fileresilk);
 /*------------ free_vector  -------------*/      }
  chdir(path);      fprintf(ficresilk, "#individual(line's_record) count ageb ageend s1 s2 wave# effective_wave# number_of_matrices_product pij weight weight/gpw -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 ageb agend i s1 s2 mi mw dh likeli weight %%weight 2wlli out sav ");
  free_ivector(wav,1,imx);      /*  i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],2*weight[i]*lli,out[s1][s2],savm[s1][s2]); */
  free_imatrix(dh,1,lastpass-firstpass+1,1,imx);      for(k=1; k<=nlstate; k++) 
  free_imatrix(mw,1,lastpass-firstpass+1,1,imx);          fprintf(ficresilk," -2*gipw/gsw*weight*ll[%d]++",k);
  free_ivector(num,1,n);      fprintf(ficresilk," -2*gipw/gsw*weight*ll(total)\n");
  free_vector(agedc,1,n);    }
  /*free_matrix(covar,1,NCOVMAX,1,n);*/  
  fclose(ficparo);    *fretone=(*funcone)(p);
  fclose(ficres);    if(*globpri !=0){
       fclose(ficresilk);
       if (mle ==0)
   /*--------------- Prevalence limit --------------*/        fprintf(fichtm,"\n<br>File of contributions to the likelihood computed with initial parameters and mle = %d.",mle);
        else if(mle >=1)
   strcpy(filerespl,"pl");        fprintf(fichtm,"\n<br>File of contributions to the likelihood computed with optimized parameters mle = %d.",mle);
   strcat(filerespl,fileres);      fprintf(fichtm," You should at least run with mle >= 1 to get starting values corresponding to the optimized parameters in order to visualize the real contribution of each individual/wave: <a href=\"%s\">%s</a><br>\n",subdirf(fileresilk),subdirf(fileresilk));
   if((ficrespl=fopen(filerespl,"w"))==NULL) {      
     printf("Problem with Prev limit resultfile: %s\n", filerespl);goto end;        
   }      for (k=1; k<= nlstate ; k++) {
   printf("Computing prevalence limit: result on file '%s' \n", filerespl);        fprintf(fichtm,"<br>- Probability p<sub>%dj</sub> by origin %d and destination j. Dot's sizes are related to corresponding weight: <a href=\"%s-p%dj.png\">%s-p%dj.png</a><br> \
   fprintf(ficrespl,"#Prevalence limit\n");  <img src=\"%s-p%dj.png\">",k,k,subdirf2(optionfilefiname,"ILK_"),k,subdirf2(optionfilefiname,"ILK_"),k,subdirf2(optionfilefiname,"ILK_"),k);
   fprintf(ficrespl,"#Age ");      }
   for(i=1; i<=nlstate;i++) fprintf(ficrespl,"%d-%d ",i,i);      fprintf(fichtm,"<br>- The function drawn is -2Log(L) in Log scale: by state of origin <a href=\"%s-ori.png\">%s-ori.png</a><br> \
   fprintf(ficrespl,"\n");  <img src=\"%s-ori.png\">",subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"));
        fprintf(fichtm,"<br>- and by state of destination <a href=\"%s-dest.png\">%s-dest.png</a><br> \
   prlim=matrix(1,nlstate,1,nlstate);  <img src=\"%s-dest.png\">",subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"));
   pmmij= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */      fflush(fichtm);
   oldms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */    }
   newms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */    return;
   savms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */  }
   oldm=oldms; newm=newms; savm=savms; /* Keeps fixed addresses to free */  
   k=0;  
   agebase=ageminpar;  /*********** Maximum Likelihood Estimation ***************/
   agelim=agemaxpar;  
   ftolpl=1.e-10;  void mlikeli(FILE *ficres,double p[], int npar, int ncovmodel, int nlstate, double ftol, double (*func)(double []))
   i1=cptcoveff;  {
   if (cptcovn < 1){i1=1;}    int i,j, iter=0;
     double **xi;
   for(cptcov=1;cptcov<=i1;cptcov++){    double fret;
     for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){    double fretone; /* Only one call to likelihood */
         k=k+1;    /*  char filerespow[FILENAMELENGTH];*/
         /*printf("cptcov=%d cptcod=%d codtab=%d nbcode=%d\n",cptcov, cptcod,Tcode[cptcode],codtab[cptcod][cptcov]);*/  
         fprintf(ficrespl,"\n#******");  #ifdef NLOPT
         for(j=1;j<=cptcoveff;j++)    int creturn;
           fprintf(ficrespl," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);    nlopt_opt opt;
         fprintf(ficrespl,"******\n");    /* double lb[9] = { -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL }; /\* lower bounds *\/ */
            double *lb;
         for (age=agebase; age<=agelim; age++){    double minf; /* the minimum objective value, upon return */
           prevalim(prlim, nlstate, p, age, oldm, savm,ftolpl,k);    double * p1; /* Shifted parameters from 0 instead of 1 */
           fprintf(ficrespl,"%.0f",age );    myfunc_data dinst, *d = &dinst;
           for(i=1; i<=nlstate;i++)  #endif
           fprintf(ficrespl," %.5f", prlim[i][i]);  
           fprintf(ficrespl,"\n");  
         }    xi=matrix(1,npar,1,npar);
       }    for (i=1;i<=npar;i++)
     }      for (j=1;j<=npar;j++)
   fclose(ficrespl);        xi[i][j]=(i==j ? 1.0 : 0.0);
     printf("Powell\n");  fprintf(ficlog,"Powell\n");
   /*------------- h Pij x at various ages ------------*/    strcpy(filerespow,"POW_"); 
      strcat(filerespow,fileres);
   strcpy(filerespij,"pij");  strcat(filerespij,fileres);    if((ficrespow=fopen(filerespow,"w"))==NULL) {
   if((ficrespij=fopen(filerespij,"w"))==NULL) {      printf("Problem with resultfile: %s\n", filerespow);
     printf("Problem with Pij resultfile: %s\n", filerespij);goto end;      fprintf(ficlog,"Problem with resultfile: %s\n", filerespow);
   }    }
   printf("Computing pij: result on file '%s' \n", filerespij);    fprintf(ficrespow,"# Powell\n# iter -2*LL");
      for (i=1;i<=nlstate;i++)
   stepsize=(int) (stepm+YEARM-1)/YEARM;      for(j=1;j<=nlstate+ndeath;j++)
   /*if (stepm<=24) stepsize=2;*/        if(j!=i)fprintf(ficrespow," p%1d%1d",i,j);
     fprintf(ficrespow,"\n");
   agelim=AGESUP;  #ifdef POWELL
   hstepm=stepsize*YEARM; /* Every year of age */    powell(p,xi,npar,ftol,&iter,&fret,func);
   hstepm=hstepm/stepm; /* Typically 2 years, = 2/6 months = 4 */  #endif
   
   /* hstepm=1;   aff par mois*/  #ifdef NLOPT
   #ifdef NEWUOA
   k=0;    opt = nlopt_create(NLOPT_LN_NEWUOA,npar);
   for(cptcov=1;cptcov<=i1;cptcov++){  #else
     for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){    opt = nlopt_create(NLOPT_LN_BOBYQA,npar);
       k=k+1;  #endif
         fprintf(ficrespij,"\n#****** ");    lb=vector(0,npar-1);
         for(j=1;j<=cptcoveff;j++)    for (i=0;i<npar;i++) lb[i]= -HUGE_VAL;
           fprintf(ficrespij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);    nlopt_set_lower_bounds(opt, lb);
         fprintf(ficrespij,"******\n");    nlopt_set_initial_step1(opt, 0.1);
            
         for (agedeb=fage; agedeb>=bage; agedeb--){ /* If stepm=6 months */    p1= (p+1); /*  p *(p+1)@8 and p *(p1)@8 are equal p1[0]=p[1] */
           nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */    d->function = func;
           nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */    printf(" Func %.12lf \n",myfunc(npar,p1,NULL,d));
     nlopt_set_min_objective(opt, myfunc, d);
           /*      nhstepm=nhstepm*YEARM; aff par mois*/    nlopt_set_xtol_rel(opt, ftol);
     if ((creturn=nlopt_optimize(opt, p1, &minf)) < 0) {
           p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);      printf("nlopt failed! %d\n",creturn); 
           oldm=oldms;savm=savms;    }
           hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);      else {
           fprintf(ficrespij,"# Age");      printf("found minimum after %d evaluations (NLOPT=%d)\n", countcallfunc ,NLOPT);
           for(i=1; i<=nlstate;i++)      printf("found minimum at f(%g,%g) = %0.10g\n", p[0], p[1], minf);
             for(j=1; j<=nlstate+ndeath;j++)      iter=1; /* not equal */
               fprintf(ficrespij," %1d-%1d",i,j);    }
           fprintf(ficrespij,"\n");    nlopt_destroy(opt);
            for (h=0; h<=nhstepm; h++){  #endif
             fprintf(ficrespij,"%d %f %f",k,agedeb, agedeb+ h*hstepm/YEARM*stepm );    free_matrix(xi,1,npar,1,npar);
             for(i=1; i<=nlstate;i++)    fclose(ficrespow);
               for(j=1; j<=nlstate+ndeath;j++)    printf("\n#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
                 fprintf(ficrespij," %.5f", p3mat[i][j][h]);    fprintf(ficlog,"\n#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
             fprintf(ficrespij,"\n");    fprintf(ficres,"#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
              }  
           free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);  }
           fprintf(ficrespij,"\n");  
         }  /**** Computes Hessian and covariance matrix ***/
     }  void hesscov(double **matcov, double **hess, double p[], int npar, double delti[], double ftolhess, double (*func)(double []))
   }  {
     double  **a,**y,*x,pd;
   varprob(optionfilefiname, matcov, p, delti, nlstate, (int) bage, (int) fage,k,Tvar,nbcode, ncodemax);    /* double **hess; */
     int i, j;
   fclose(ficrespij);    int *indx;
   
     double hessii(double p[], double delta, int theta, double delti[],double (*func)(double []),int npar);
   /*---------- Forecasting ------------------*/    double hessij(double p[], double **hess, double delti[], int i, int j,double (*func)(double []),int npar);
   if((stepm == 1) && (strcmp(model,".")==0)){    void lubksb(double **a, int npar, int *indx, double b[]) ;
     prevforecast(fileres, anproj1,mproj1,jproj1, agemin,agemax, dateprev1, dateprev2,mobilav, agedeb, fage, popforecast, popfile, anproj2,p, i1);    void ludcmp(double **a, int npar, int *indx, double *d) ;
     if (popforecast==1) populforecast(fileres, anpyram,mpyram,jpyram, agemin,agemax, dateprev1, dateprev2,mobilav, agedeb, fage, popforecast, popfile, anpyram1,p, i1);    double gompertz(double p[]);
   }    /* hess=matrix(1,npar,1,npar); */
   else{  
     erreur=108;    printf("\nCalculation of the hessian matrix. Wait...\n");
     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,"\nCalculation of the hessian matrix. Wait...\n");
   }    for (i=1;i<=npar;i++){
        printf("%d-",i);fflush(stdout);
       fprintf(ficlog,"%d-",i);fflush(ficlog);
   /*---------- Health expectancies and variances ------------*/     
        hess[i][i]=hessii(p,ftolhess,i,delti,func,npar);
   strcpy(filerest,"t");      
   strcat(filerest,fileres);      /*  printf(" %f ",p[i]);
   if((ficrest=fopen(filerest,"w"))==NULL) {          printf(" %lf %lf %lf",hess[i][i],ftolhess,delti[i]);*/
     printf("Problem with total LE resultfile: %s\n", filerest);goto end;    }
   }    
   printf("Computing Total LEs with variances: file '%s' \n", filerest);    for (i=1;i<=npar;i++) {
       for (j=1;j<=npar;j++)  {
         if (j>i) { 
   strcpy(filerese,"e");          printf(".%d-%d",i,j);fflush(stdout);
   strcat(filerese,fileres);          fprintf(ficlog,".%d-%d",i,j);fflush(ficlog);
   if((ficreseij=fopen(filerese,"w"))==NULL) {          hess[i][j]=hessij(p,hess, delti,i,j,func,npar);
     printf("Problem with Health Exp. resultfile: %s\n", filerese); exit(0);          
   }          hess[j][i]=hess[i][j];    
   printf("Computing Health Expectancies: result on file '%s' \n", filerese);          /*printf(" %lf ",hess[i][j]);*/
         }
  strcpy(fileresv,"v");      }
   strcat(fileresv,fileres);    }
   if((ficresvij=fopen(fileresv,"w"))==NULL) {    printf("\n");
     printf("Problem with variance resultfile: %s\n", fileresv);exit(0);    fprintf(ficlog,"\n");
   }  
   printf("Computing Variance-covariance of DFLEs: file '%s' \n", fileresv);    printf("\nInverting the hessian to get the covariance matrix. Wait...\n");
   calagedate=-1;    fprintf(ficlog,"\nInverting the hessian to get the covariance matrix. Wait...\n");
 prevalence(ageminpar, agemax, s, agev, nlstate, imx,Tvar,nbcode, ncodemax,mint,anint,dateprev1,dateprev2, calagedate);    
     a=matrix(1,npar,1,npar);
   k=0;    y=matrix(1,npar,1,npar);
   for(cptcov=1;cptcov<=i1;cptcov++){    x=vector(1,npar);
     for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){    indx=ivector(1,npar);
       k=k+1;    for (i=1;i<=npar;i++)
       fprintf(ficrest,"\n#****** ");      for (j=1;j<=npar;j++) a[i][j]=hess[i][j];
       for(j=1;j<=cptcoveff;j++)    ludcmp(a,npar,indx,&pd);
         fprintf(ficrest,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);  
       fprintf(ficrest,"******\n");    for (j=1;j<=npar;j++) {
       for (i=1;i<=npar;i++) x[i]=0;
       fprintf(ficreseij,"\n#****** ");      x[j]=1;
       for(j=1;j<=cptcoveff;j++)      lubksb(a,npar,indx,x);
         fprintf(ficreseij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);      for (i=1;i<=npar;i++){ 
       fprintf(ficreseij,"******\n");        matcov[i][j]=x[i];
       }
       fprintf(ficresvij,"\n#****** ");    }
       for(j=1;j<=cptcoveff;j++)  
         fprintf(ficresvij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);    printf("\n#Hessian matrix#\n");
       fprintf(ficresvij,"******\n");    fprintf(ficlog,"\n#Hessian matrix#\n");
     for (i=1;i<=npar;i++) { 
       eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);      for (j=1;j<=npar;j++) { 
       oldm=oldms;savm=savms;        printf("%.6e ",hess[i][j]);
       evsij(fileres, eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k, estepm, delti, matcov);          fprintf(ficlog,"%.6e ",hess[i][j]);
        }
       vareij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);      printf("\n");
       oldm=oldms;savm=savms;      fprintf(ficlog,"\n");
        varevsij(fileres, vareij, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k, estepm);    }
      
     /* printf("\n#Covariance matrix#\n"); */
      /* fprintf(ficlog,"\n#Covariance matrix#\n"); */
       fprintf(ficrest,"#Total LEs with variances: e.. (std) ");    /* for (i=1;i<=npar;i++) {  */
       for (i=1;i<=nlstate;i++) fprintf(ficrest,"e.%d (std) ",i);    /*   for (j=1;j<=npar;j++) {  */
       fprintf(ficrest,"\n");    /*     printf("%.6e ",matcov[i][j]); */
     /*     fprintf(ficlog,"%.6e ",matcov[i][j]); */
       epj=vector(1,nlstate+1);    /*   } */
       for(age=bage; age <=fage ;age++){    /*   printf("\n"); */
         prevalim(prlim, nlstate, p, age, oldm, savm,ftolpl,k);    /*   fprintf(ficlog,"\n"); */
         if (popbased==1) {    /* } */
           for(i=1; i<=nlstate;i++)  
             prlim[i][i]=probs[(int)age][i][k];    /* Recompute Inverse */
         }    /* for (i=1;i<=npar;i++) */
            /*   for (j=1;j<=npar;j++) a[i][j]=matcov[i][j]; */
         fprintf(ficrest," %4.0f",age);    /* ludcmp(a,npar,indx,&pd); */
         for(j=1, epj[nlstate+1]=0.;j <=nlstate;j++){  
           for(i=1, epj[j]=0.;i <=nlstate;i++) {    /*  printf("\n#Hessian matrix recomputed#\n"); */
             epj[j] += prlim[i][i]*eij[i][j][(int)age];  
             /*  printf("%lf %lf ", prlim[i][i] ,eij[i][j][(int)age]);*/    /* for (j=1;j<=npar;j++) { */
           }    /*   for (i=1;i<=npar;i++) x[i]=0; */
           epj[nlstate+1] +=epj[j];    /*   x[j]=1; */
         }    /*   lubksb(a,npar,indx,x); */
     /*   for (i=1;i<=npar;i++){  */
         for(i=1, vepp=0.;i <=nlstate;i++)    /*     y[i][j]=x[i]; */
           for(j=1;j <=nlstate;j++)    /*     printf("%.3e ",y[i][j]); */
             vepp += vareij[i][j][(int)age];    /*     fprintf(ficlog,"%.3e ",y[i][j]); */
         fprintf(ficrest," %7.3f (%7.3f)", epj[nlstate+1],sqrt(vepp));    /*   } */
         for(j=1;j <=nlstate;j++){    /*   printf("\n"); */
           fprintf(ficrest," %7.3f (%7.3f)", epj[j],sqrt(vareij[j][j][(int)age]));    /*   fprintf(ficlog,"\n"); */
         }    /* } */
         fprintf(ficrest,"\n");  
       }    /* Verifying the inverse matrix */
     }  #ifdef DEBUGHESS
   }    y=matprod2(y,hess,1,npar,1,npar,1,npar,matcov);
 free_matrix(mint,1,maxwav,1,n);  
     free_matrix(anint,1,maxwav,1,n); free_imatrix(s,1,maxwav+1,1,n);     printf("\n#Verification: multiplying the matrix of covariance by the Hessian matrix, should be unity:#\n");
     free_vector(weight,1,n);     fprintf(ficlog,"\n#Verification: multiplying the matrix of covariance by the Hessian matrix. Should be unity:#\n");
   fclose(ficreseij);  
   fclose(ficresvij);    for (j=1;j<=npar;j++) {
   fclose(ficrest);      for (i=1;i<=npar;i++){ 
   fclose(ficpar);        printf("%.2f ",y[i][j]);
   free_vector(epj,1,nlstate+1);        fprintf(ficlog,"%.2f ",y[i][j]);
        }
   /*------- Variance limit prevalence------*/        printf("\n");
       fprintf(ficlog,"\n");
   strcpy(fileresvpl,"vpl");    }
   strcat(fileresvpl,fileres);  #endif
   if((ficresvpl=fopen(fileresvpl,"w"))==NULL) {  
     printf("Problem with variance prev lim resultfile: %s\n", fileresvpl);    free_matrix(a,1,npar,1,npar);
     exit(0);    free_matrix(y,1,npar,1,npar);
   }    free_vector(x,1,npar);
   printf("Computing Variance-covariance of Prevalence limit: file '%s' \n", fileresvpl);    free_ivector(indx,1,npar);
     /* free_matrix(hess,1,npar,1,npar); */
   k=0;  
   for(cptcov=1;cptcov<=i1;cptcov++){  
     for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){  }
       k=k+1;  
       fprintf(ficresvpl,"\n#****** ");  /*************** hessian matrix ****************/
       for(j=1;j<=cptcoveff;j++)  double hessii(double x[], double delta, int theta, double delti[], double (*func)(double []), int npar)
         fprintf(ficresvpl,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);  { /* Around values of x, computes the function func and returns the scales delti and hessian */
       fprintf(ficresvpl,"******\n");    int i;
          int l=1, lmax=20;
       varpl=matrix(1,nlstate,(int) bage, (int) fage);    double k1,k2, res, fx;
       oldm=oldms;savm=savms;    double p2[MAXPARM+1]; /* identical to x */
      varprevlim(fileres, varpl, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k);    double delt=0.0001, delts, nkhi=10.,nkhif=1., khi=1.e-4;
     }    int k=0,kmax=10;
  }    double l1;
   
   fclose(ficresvpl);    fx=func(x);
     for (i=1;i<=npar;i++) p2[i]=x[i];
   /*---------- End : free ----------------*/    for(l=0 ; l <=lmax; l++){  /* Enlarging the zone around the Maximum */
   free_matrix(varpl,1,nlstate,(int) bage, (int)fage);      l1=pow(10,l);
        delts=delt;
   free_ma3x(vareij,1,nlstate,1,nlstate,(int) bage, (int)fage);      for(k=1 ; k <kmax; k=k+1){
   free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);        delt = delta*(l1*k);
          p2[theta]=x[theta] +delt;
          k1=func(p2)-fx;   /* Might be negative if too close to the theoretical maximum */
   free_matrix(pmmij,1,nlstate+ndeath,1,nlstate+ndeath);        p2[theta]=x[theta]-delt;
   free_matrix(oldms, 1,nlstate+ndeath,1,nlstate+ndeath);        k2=func(p2)-fx;
   free_matrix(newms, 1,nlstate+ndeath,1,nlstate+ndeath);        /*res= (k1-2.0*fx+k2)/delt/delt; */
   free_matrix(savms, 1,nlstate+ndeath,1,nlstate+ndeath);        res= (k1+k2)/delt/delt/2.; /* Divided by 2 because L and not 2*L */
          
   free_matrix(matcov,1,npar,1,npar);  #ifdef DEBUGHESSII
   free_vector(delti,1,npar);        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);
   free_matrix(agev,1,maxwav,1,imx);        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);
   free_ma3x(param,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel);  #endif
         /*if(fabs(k1-2.0*fx+k2) <1.e-13){ */
   fprintf(fichtm,"\n</body>");        if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)){
   fclose(fichtm);          k=kmax;
   fclose(ficgp);        }
          else if((k1 >khi/nkhif) || (k2 >khi/nkhif)){ /* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. */
           k=kmax; l=lmax*10;
   if(erreur >0)        }
     printf("End of Imach with error or warning %d\n",erreur);        else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){ 
   else   printf("End of Imach\n");          delts=delt;
   /*  gettimeofday(&end_time, (struct timezone*)0);*/  /* after time */        }
        } /* End loop k */
   /* printf("Total time was %d Sec. %d uSec.\n", end_time.tv_sec -start_time.tv_sec, end_time.tv_usec -start_time.tv_usec);*/    }
   /*printf("Total time was %d uSec.\n", total_usecs);*/    delti[theta]=delts;
   /*------ End -----------*/    return res; 
     
   }
  end:  
 #ifdef windows  double hessij( double x[], double **hess, double delti[], int thetai,int thetaj,double (*func)(double []),int npar)
   /* chdir(pathcd);*/  {
 #endif    int i;
  /*system("wgnuplot graph.plt");*/    int l=1, lmax=20;
  /*system("../gp37mgw/wgnuplot graph.plt");*/    double k1,k2,k3,k4,res,fx;
  /*system("cd ../gp37mgw");*/    double p2[MAXPARM+1];
  /* system("..\\gp37mgw\\wgnuplot graph.plt");*/    int k, kmax=1;
  strcpy(plotcmd,GNUPLOTPROGRAM);    double v1, v2, cv12, lc1, lc2;
  strcat(plotcmd," ");  
  strcat(plotcmd,optionfilegnuplot);    int firstime=0;
  system(plotcmd);    
     fx=func(x);
 #ifdef windows    for (k=1; k<=kmax; k=k+10) {
   while (z[0] != 'q') {      for (i=1;i<=npar;i++) p2[i]=x[i];
     /* chdir(path); */      p2[thetai]=x[thetai]+delti[thetai]*k;
     printf("\nType e to edit output files, g to graph again, c to start again, and q for exiting: ");      p2[thetaj]=x[thetaj]+delti[thetaj]*k;
     scanf("%s",z);      k1=func(p2)-fx;
     if (z[0] == 'c') system("./imach");    
     else if (z[0] == 'e') system(optionfilehtm);      p2[thetai]=x[thetai]+delti[thetai]*k;
     else if (z[0] == 'g') system(plotcmd);      p2[thetaj]=x[thetaj]-delti[thetaj]*k;
     else if (z[0] == 'q') exit(0);      k2=func(p2)-fx;
   }    
 #endif      p2[thetai]=x[thetai]-delti[thetai]*k;
 }      p2[thetaj]=x[thetaj]+delti[thetaj]*k;
       k3=func(p2)-fx;
     
       p2[thetai]=x[thetai]-delti[thetai]*k;
       p2[thetaj]=x[thetaj]-delti[thetaj]*k;
       k4=func(p2)-fx;
       res=(k1-k2-k3+k4)/4.0/delti[thetai]/k/delti[thetaj]/k/2.; /* Because of L not 2*L */
       if(k1*k2*k3*k4 <0.){
         firstime=1;
         kmax=kmax+10;
       }
       if(kmax >=10 || firstime ==1){
         printf("Warning: directions %d-%d, you are not estimating the Hessian at the exact maximum likelihood; you may increase ftol=%.2e\n",thetai,thetaj, ftol);
         fprintf(ficlog,"Warning: directions %d-%d, you are not estimating the Hessian at the exact maximum likelihood; you may increase ftol=%.2e\n",thetai,thetaj, ftol);
         printf("%d %d k=%d, k1=%.12e k2=%.12e k3=%.12e k4=%.12e delti*k=%.12e deltj*k=%.12e, xi-de*k=%.12e xj-de*k=%.12e  res=%.12e k1234=%.12e,k1-2=%.12e,k3-4=%.12e\n",thetai,thetaj,k,k1,k2,k3,k4,delti[thetai]/k,delti[thetaj]/k,x[thetai]-delti[thetai]/k,x[thetaj]-delti[thetaj]/k, res,k1-k2-k3+k4,k1-k2,k3-k4);
         fprintf(ficlog,"%d %d k=%d, k1=%.12e k2=%.12e k3=%.12e k4=%.12e delti*k=%.12e deltj*k=%.12e, xi-de*k=%.12e xj-de*k=%.12e  res=%.12e k1234=%.12e,k1-2=%.12e,k3-4=%.12e\n",thetai,thetaj,k,k1,k2,k3,k4,delti[thetai]/k,delti[thetaj]/k,x[thetai]-delti[thetai]/k,x[thetaj]-delti[thetaj]/k, res,k1-k2-k3+k4,k1-k2,k3-k4);
       }
   #ifdef DEBUGHESSIJ
       v1=hess[thetai][thetai];
       v2=hess[thetaj][thetaj];
       cv12=res;
       /* Computing eigen value of Hessian matrix */
       lc1=((v1+v2)+sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
       lc2=((v1+v2)-sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
       if ((lc2 <0) || (lc1 <0) ){
         printf("Warning: sub Hessian matrix '%d%d' does not have positive eigen values \n",thetai,thetaj);
         fprintf(ficlog, "Warning: sub Hessian matrix '%d%d' does not have positive eigen values \n",thetai,thetaj);
         printf("%d %d k=%d, k1=%.12e k2=%.12e k3=%.12e k4=%.12e delti/k=%.12e deltj/k=%.12e, xi-de/k=%.12e xj-de/k=%.12e  res=%.12e k1234=%.12e,k1-2=%.12e,k3-4=%.12e\n",thetai,thetaj,k,k1,k2,k3,k4,delti[thetai]/k,delti[thetaj]/k,x[thetai]-delti[thetai]/k,x[thetaj]-delti[thetaj]/k, res,k1-k2-k3+k4,k1-k2,k3-k4);
         fprintf(ficlog,"%d %d k=%d, k1=%.12e k2=%.12e k3=%.12e k4=%.12e delti/k=%.12e deltj/k=%.12e, xi-de/k=%.12e xj-de/k=%.12e  res=%.12e k1234=%.12e,k1-2=%.12e,k3-4=%.12e\n",thetai,thetaj,k,k1,k2,k3,k4,delti[thetai]/k,delti[thetaj]/k,x[thetai]-delti[thetai]/k,x[thetaj]-delti[thetaj]/k, res,k1-k2-k3+k4,k1-k2,k3-k4);
       }
   #endif
     }
     return res;
   }
   
       /* Not done yet: Was supposed to fix if not exactly at the maximum */
   /* double hessij( double x[], double delti[], int thetai,int thetaj,double (*func)(double []),int npar) */
   /* { */
   /*   int i; */
   /*   int l=1, lmax=20; */
   /*   double k1,k2,k3,k4,res,fx; */
   /*   double p2[MAXPARM+1]; */
   /*   double delt=0.0001, delts, nkhi=10.,nkhif=1., khi=1.e-4; */
   /*   int k=0,kmax=10; */
   /*   double l1; */
     
   /*   fx=func(x); */
   /*   for(l=0 ; l <=lmax; l++){  /\* Enlarging the zone around the Maximum *\/ */
   /*     l1=pow(10,l); */
   /*     delts=delt; */
   /*     for(k=1 ; k <kmax; k=k+1){ */
   /*       delt = delti*(l1*k); */
   /*       for (i=1;i<=npar;i++) p2[i]=x[i]; */
   /*       p2[thetai]=x[thetai]+delti[thetai]/k; */
   /*       p2[thetaj]=x[thetaj]+delti[thetaj]/k; */
   /*       k1=func(p2)-fx; */
         
   /*       p2[thetai]=x[thetai]+delti[thetai]/k; */
   /*       p2[thetaj]=x[thetaj]-delti[thetaj]/k; */
   /*       k2=func(p2)-fx; */
         
   /*       p2[thetai]=x[thetai]-delti[thetai]/k; */
   /*       p2[thetaj]=x[thetaj]+delti[thetaj]/k; */
   /*       k3=func(p2)-fx; */
         
   /*       p2[thetai]=x[thetai]-delti[thetai]/k; */
   /*       p2[thetaj]=x[thetaj]-delti[thetaj]/k; */
   /*       k4=func(p2)-fx; */
   /*       res=(k1-k2-k3+k4)/4.0/delti[thetai]*k/delti[thetaj]*k/2.; /\* Because of L not 2*L *\/ */
   /* #ifdef DEBUGHESSIJ */
   /*       printf("%d %d k=%d, k1=%.12e k2=%.12e k3=%.12e k4=%.12e delti/k=%.12e deltj/k=%.12e, xi-de/k=%.12e xj-de/k=%.12e  res=%.12e k1234=%.12e,k1-2=%.12e,k3-4=%.12e\n",thetai,thetaj,k,k1,k2,k3,k4,delti[thetai]/k,delti[thetaj]/k,x[thetai]-delti[thetai]/k,x[thetaj]-delti[thetaj]/k, res,k1-k2-k3+k4,k1-k2,k3-k4); */
   /*       fprintf(ficlog,"%d %d k=%d, k1=%.12e k2=%.12e k3=%.12e k4=%.12e delti/k=%.12e deltj/k=%.12e, xi-de/k=%.12e xj-de/k=%.12e  res=%.12e k1234=%.12e,k1-2=%.12e,k3-4=%.12e\n",thetai,thetaj,k,k1,k2,k3,k4,delti[thetai]/k,delti[thetaj]/k,x[thetai]-delti[thetai]/k,x[thetaj]-delti[thetaj]/k, res,k1-k2-k3+k4,k1-k2,k3-k4); */
   /* #endif */
   /*       if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)|| (k4 <khi/nkhi/2.)|| (k4 <khi/nkhi/2.)){ */
   /*      k=kmax; */
   /*       } */
   /*       else if((k1 >khi/nkhif) || (k2 >khi/nkhif) || (k4 >khi/nkhif) || (k4 >khi/nkhif)){ /\* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. *\/ */
   /*      k=kmax; l=lmax*10; */
   /*       } */
   /*       else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){  */
   /*      delts=delt; */
   /*       } */
   /*     } /\* End loop k *\/ */
   /*   } */
   /*   delti[theta]=delts; */
   /*   return res;  */
   /* } */
   
   
   /************** Inverse of matrix **************/
   void ludcmp(double **a, int n, int *indx, double *d) 
   { 
     int i,imax,j,k; 
     double big,dum,sum,temp; 
     double *vv; 
    
     vv=vector(1,n); 
     *d=1.0; 
     for (i=1;i<=n;i++) { 
       big=0.0; 
       for (j=1;j<=n;j++) 
         if ((temp=fabs(a[i][j])) > big) big=temp; 
       if (big == 0.0) nrerror("Singular matrix in routine ludcmp"); 
       vv[i]=1.0/big; 
     } 
     for (j=1;j<=n;j++) { 
       for (i=1;i<j;i++) { 
         sum=a[i][j]; 
         for (k=1;k<i;k++) sum -= a[i][k]*a[k][j]; 
         a[i][j]=sum; 
       } 
       big=0.0; 
       for (i=j;i<=n;i++) { 
         sum=a[i][j]; 
         for (k=1;k<j;k++) 
           sum -= a[i][k]*a[k][j]; 
         a[i][j]=sum; 
         if ( (dum=vv[i]*fabs(sum)) >= big) { 
           big=dum; 
           imax=i; 
         } 
       } 
       if (j != imax) { 
         for (k=1;k<=n;k++) { 
           dum=a[imax][k]; 
           a[imax][k]=a[j][k]; 
           a[j][k]=dum; 
         } 
         *d = -(*d); 
         vv[imax]=vv[j]; 
       } 
       indx[j]=imax; 
       if (a[j][j] == 0.0) a[j][j]=TINY; 
       if (j != n) { 
         dum=1.0/(a[j][j]); 
         for (i=j+1;i<=n;i++) a[i][j] *= dum; 
       } 
     } 
     free_vector(vv,1,n);  /* Doesn't work */
   ;
   } 
   
   void lubksb(double **a, int n, int *indx, double b[]) 
   { 
     int i,ii=0,ip,j; 
     double sum; 
    
     for (i=1;i<=n;i++) { 
       ip=indx[i]; 
       sum=b[ip]; 
       b[ip]=b[i]; 
       if (ii) 
         for (j=ii;j<=i-1;j++) sum -= a[i][j]*b[j]; 
       else if (sum) ii=i; 
       b[i]=sum; 
     } 
     for (i=n;i>=1;i--) { 
       sum=b[i]; 
       for (j=i+1;j<=n;j++) sum -= a[i][j]*b[j]; 
       b[i]=sum/a[i][i]; 
     } 
   } 
   
   void pstamp(FILE *fichier)
   {
     fprintf(fichier,"# %s.%s\n#IMaCh version %s, %s\n#%s\n# %s", optionfilefiname,optionfilext,version,copyright, fullversion, strstart);
   }
   
   /************ Frequencies ********************/
   void  freqsummary(char fileres[], int iagemin, int iagemax, int **s, double **agev, int nlstate, int imx, \
                     int *Tvaraff, int *invalidvarcomb, int **nbcode, int *ncodemax,double **mint,double **anint, char strstart[], \
                     int firstpass,  int lastpass, int stepm, int weightopt, char model[])
   {  /* Some frequencies */
     
     int i, m, jk, j1, bool, z1,j, k, iv;
     int iind=0, iage=0;
     int mi; /* Effective wave */
     int first;
     double ***freq; /* Frequencies */
     double *meanq;
     double **meanqt;
     double *pp, **prop, *posprop, *pospropt;
     double pos=0., posproptt=0., pospropta=0., k2, dateintsum=0,k2cpt=0;
     char fileresp[FILENAMELENGTH], fileresphtm[FILENAMELENGTH], fileresphtmfr[FILENAMELENGTH];
     double agebegin, ageend;
       
     pp=vector(1,nlstate);
     prop=matrix(1,nlstate,iagemin-AGEMARGE,iagemax+3+AGEMARGE); 
     posprop=vector(1,nlstate); /* Counting the number of transition starting from a live state per age */ 
     pospropt=vector(1,nlstate); /* Counting the number of transition starting from a live state */ 
     /* prop=matrix(1,nlstate,iagemin,iagemax+3); */
     meanq=vector(1,nqfveff); /* Number of Quantitative Fixed Variables Effective */
     meanqt=matrix(1,lastpass,1,nqtveff);
     strcpy(fileresp,"P_");
     strcat(fileresp,fileresu);
     /*strcat(fileresphtm,fileresu);*/
     if((ficresp=fopen(fileresp,"w"))==NULL) {
       printf("Problem with prevalence resultfile: %s\n", fileresp);
       fprintf(ficlog,"Problem with prevalence resultfile: %s\n", fileresp);
       exit(0);
     }
   
     strcpy(fileresphtm,subdirfext(optionfilefiname,"PHTM_",".htm"));
     if((ficresphtm=fopen(fileresphtm,"w"))==NULL) {
       printf("Problem with prevalence HTM resultfile '%s' with errno='%s'\n",fileresphtm,strerror(errno));
       fprintf(ficlog,"Problem with prevalence HTM resultfile '%s' with errno='%s'\n",fileresphtm,strerror(errno));
       fflush(ficlog);
       exit(70); 
     }
     else{
       fprintf(ficresphtm,"<html><head>\n<title>IMaCh PHTM_ %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=1+age+%s<br>\n",\
               fileresphtm,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);
     }
     fprintf(ficresphtm,"Current page is file <a href=\"%s\">%s</a><br>\n\n<h4>Frequencies and prevalence by age at begin of transition</h4>\n",fileresphtm, fileresphtm);
       
     strcpy(fileresphtmfr,subdirfext(optionfilefiname,"PHTMFR_",".htm"));
     if((ficresphtmfr=fopen(fileresphtmfr,"w"))==NULL) {
       printf("Problem with frequency table HTM resultfile '%s' with errno='%s'\n",fileresphtmfr,strerror(errno));
       fprintf(ficlog,"Problem with frequency table HTM resultfile '%s' with errno='%s'\n",fileresphtmfr,strerror(errno));
       fflush(ficlog);
       exit(70); 
     }
     else{
       fprintf(ficresphtmfr,"<html><head>\n<title>IMaCh PHTM_Frequency table %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=1+age+%s<br>\n",\
               fileresphtmfr,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);
     }
     fprintf(ficresphtmfr,"Current page is file <a href=\"%s\">%s</a><br>\n\n<h4>Frequencies of all effective transitions by age at begin of transition </h4>Unknown status is -1<br/>\n",fileresphtmfr, fileresphtmfr);
   
     freq= ma3x(-5,nlstate+ndeath,-5,nlstate+ndeath,iagemin-AGEMARGE,iagemax+3+AGEMARGE);
     j1=0;
     
     /* j=ncoveff;  /\* Only fixed dummy covariates *\/ */
     j=cptcoveff;  /* Only dummy covariates of the model */
     if (cptcovn<1) {j=1;ncodemax[1]=1;}
   
     first=1;
   
     /* Detects if a combination j1 is empty: for a multinomial variable like 3 education levels:
        reference=low_education V1=0,V2=0
        med_educ                V1=1 V2=0, 
        high_educ               V1=0 V2=1
        Then V1=1 and V2=1 is a noisy combination that we want to exclude for the list 2**cptcoveff 
     */
   
     for (j1 = 1; j1 <= (int) pow(2,j); j1++){ /* Loop on covariates combination in order of model, excluding quantitatives V4=0, V3=0 for example, fixed or varying covariates */
       posproptt=0.;
       /*printf("cptcoveff=%d Tvaraff=%d", cptcoveff,Tvaraff[1]);
         scanf("%d", i);*/
       for (i=-5; i<=nlstate+ndeath; i++)  
         for (jk=-5; jk<=nlstate+ndeath; jk++)  
           for(m=iagemin; m <= iagemax+3; m++)
             freq[i][jk][m]=0;
         
       for (i=1; i<=nlstate; i++)  {
         for(m=iagemin; m <= iagemax+3; m++)
           prop[i][m]=0;
         posprop[i]=0;
         pospropt[i]=0;
       }
       /* for (z1=1; z1<= nqfveff; z1++) {   */
       /*   meanq[z1]+=0.; */
       /*   for(m=1;m<=lastpass;m++){ */
       /*  meanqt[m][z1]=0.; */
       /*   } */
       /* } */
         
       dateintsum=0;
       k2cpt=0;
       /* For that combination of covariate j1, we count and print the frequencies in one pass */
       for (iind=1; iind<=imx; iind++) { /* For each individual iind */
         bool=1;
         if(anyvaryingduminmodel==0){ /* If All fixed covariates */
           if (cptcoveff >0) { /* Filter is here: Must be looked at for model=V1+V2+V3+V4 */
             /* for (z1=1; z1<= nqfveff; z1++) {   */
             /*   meanq[z1]+=coqvar[Tvar[z1]][iind];  /\* Computes mean of quantitative with selected filter *\/ */
             /* } */
             for (z1=1; z1<=cptcoveff; z1++) {  
               /* if(Tvaraff[z1] ==-20){ */
               /*   /\* sumnew+=cotvar[mw[mi][iind]][z1][iind]; *\/ */
               /* }else  if(Tvaraff[z1] ==-10){ */
               /*   /\* sumnew+=coqvar[z1][iind]; *\/ */
               /* }else  */
               if (covar[Tvaraff[z1]][iind]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]){
                 /* Tests if this individual iind responded to j1 (V4=1 V3=0) */
                 bool=0;
                 /* printf("bool=%d i=%d, z1=%d, Tvaraff[%d]=%d, covar[Tvarff][%d]=%2f, codtabm(%d,%d)=%d, nbcode[Tvaraff][codtabm(%d,%d)=%d, j1=%d\n", 
                    bool,i,z1, z1, Tvaraff[z1],i,covar[Tvaraff[z1]][i],j1,z1,codtabm(j1,z1),
                    j1,z1,nbcode[Tvaraff[z1]][codtabm(j1,z1)],j1);*/
                 /* For j1=7 in V1+V2+V3+V4 = 0 1 1 0 and codtabm(7,3)=1 and nbcde[3][?]=1*/
               } /* Onlyf fixed */
             } /* end z1 */
           } /* cptcovn > 0 */
         } /* end any */
         if (bool==1){ /* We selected an individual iind satisfying combination j1 or all fixed */
           /* for(m=firstpass; m<=lastpass; m++){ */
           for(mi=1; mi<wav[iind];mi++){ /* For that wave */
             m=mw[mi][iind];
             if(anyvaryingduminmodel==1){ /* Some are varying covariates */
               for (z1=1; z1<=cptcoveff; z1++) {
                 if( Fixed[Tmodelind[z1]]==1){
                   iv= Tvar[Tmodelind[z1]]-ncovcol-nqv;
                   if (cotvar[m][iv][iind]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]) /* iv=1 to ntv, right modality */
                     bool=0;
                 }else if( Fixed[Tmodelind[z1]]== 0) { /* fixed */
                   if (covar[Tvaraff[z1]][iind]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]) {
                     bool=0;
                   }
                 }
               }
             }/* Some are varying covariates, we tried to speed up if all fixed covariates in the model, avoiding waves loop  */
             /* bool =0 we keep that guy which corresponds to the combination of dummy values */
             if(bool==1){
               /* dh[m][iind] or dh[mw[mi][iind]][iind] is the delay between two effective (mi) waves m=mw[mi][iind]
                  and mw[mi+1][iind]. dh depends on stepm. */
               agebegin=agev[m][iind]; /* Age at beginning of wave before transition*/
               ageend=agev[m][iind]+(dh[m][iind])*stepm/YEARM; /* Age at end of wave and transition */
               if(m >=firstpass && m <=lastpass){
                 k2=anint[m][iind]+(mint[m][iind]/12.);
                 /*if ((k2>=dateprev1) && (k2<=dateprev2)) {*/
                 if(agev[m][iind]==0) agev[m][iind]=iagemax+1;  /* All ages equal to 0 are in iagemax+1 */
                 if(agev[m][iind]==1) agev[m][iind]=iagemax+2;  /* All ages equal to 1 are in iagemax+2 */
                 if (s[m][iind]>0 && s[m][iind]<=nlstate)  /* If status at wave m is known and a live state */
                   prop[s[m][iind]][(int)agev[m][iind]] += weight[iind];  /* At age of beginning of transition, where status is known */
                 if (m<lastpass) {
                   /* if(s[m][iind]==4 && s[m+1][iind]==4) */
                   /*   printf(" num=%ld m=%d, iind=%d s1=%d s2=%d agev at m=%d\n", num[iind], m, iind,s[m][iind],s[m+1][iind], (int)agev[m][iind]); */
                   if(s[m][iind]==-1)
                     printf(" num=%ld m=%d, iind=%d s1=%d s2=%d agev at m=%d agebegin=%.2f ageend=%.2f, agemed=%d\n", num[iind], m, iind,s[m][iind],s[m+1][iind], (int)agev[m][iind],agebegin, ageend, (int)((agebegin+ageend)/2.));
                   freq[s[m][iind]][s[m+1][iind]][(int)agev[m][iind]] += weight[iind]; /* At age of beginning of transition, where status is known */
                   /* freq[s[m][iind]][s[m+1][iind]][(int)((agebegin+ageend)/2.)] += weight[iind]; */
                   freq[s[m][iind]][s[m+1][iind]][iagemax+3] += weight[iind]; /* Total is in iagemax+3 *//* At age of beginning of transition, where status is known */
                 }
               } /* end if between passes */  
               if ((agev[m][iind]>1) && (agev[m][iind]< (iagemax+3)) && (anint[m][iind]!=9999) && (mint[m][iind]!=99)) {
                 dateintsum=dateintsum+k2;
                 k2cpt++;
                 /* printf("iind=%ld dateintmean = %lf dateintsum=%lf k2cpt=%lf k2=%lf\n",iind, dateintsum/k2cpt, dateintsum,k2cpt, k2); */
               }
             } /* end bool 2 */
           } /* end m */
         } /* end bool */
       } /* end iind = 1 to imx */
       /* prop[s][age] is feeded for any initial and valid live state as well as
          freq[s1][s2][age] at single age of beginning the transition, for a combination j1 */
   
   
       /*      fprintf(ficresp, "#Count between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);*/
       pstamp(ficresp);
       /* if  (ncoveff>0) { */
       if  (cptcoveff>0) {
         fprintf(ficresp, "\n#********** Variable "); 
         fprintf(ficresphtm, "\n<br/><br/><h3>********** Variable "); 
         fprintf(ficresphtmfr, "\n<br/><br/><h3>********** Variable "); 
         for (z1=1; z1<=cptcoveff; z1++){
           fprintf(ficresp, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
           fprintf(ficresphtm, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
           fprintf(ficresphtmfr, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
         }
         fprintf(ficresp, "**********\n#");
         fprintf(ficresphtm, "**********</h3>\n");
         fprintf(ficresphtmfr, "**********</h3>\n");
         fprintf(ficlog, "\n#********** Variable "); 
         for (z1=1; z1<=cptcoveff; z1++) fprintf(ficlog, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
         fprintf(ficlog, "**********\n");
       }
       fprintf(ficresphtm,"<table style=\"text-align:center; border: 1px solid\">");
       for(i=1; i<=nlstate;i++) {
         fprintf(ficresp, " Age Prev(%d) N(%d) N",i,i);
         fprintf(ficresphtm, "<th>Age</th><th>Prev(%d)</th><th>N(%d)</th><th>N</th>",i,i);
       }
       fprintf(ficresp, "\n");
       fprintf(ficresphtm, "\n");
         
       /* Header of frequency table by age */
       fprintf(ficresphtmfr,"<table style=\"text-align:center; border: 1px solid\">");
       fprintf(ficresphtmfr,"<th>Age</th> ");
       for(jk=-1; jk <=nlstate+ndeath; jk++){
         for(m=-1; m <=nlstate+ndeath; m++){
           if(jk!=0 && m!=0)
             fprintf(ficresphtmfr,"<th>%d%d</th> ",jk,m);
         }
       }
       fprintf(ficresphtmfr, "\n");
         
       /* For each age */
       for(iage=iagemin; iage <= iagemax+3; iage++){
         fprintf(ficresphtm,"<tr>");
         if(iage==iagemax+1){
           fprintf(ficlog,"1");
           fprintf(ficresphtmfr,"<tr><th>0</th> ");
         }else if(iage==iagemax+2){
           fprintf(ficlog,"0");
           fprintf(ficresphtmfr,"<tr><th>Unknown</th> ");
         }else if(iage==iagemax+3){
           fprintf(ficlog,"Total");
           fprintf(ficresphtmfr,"<tr><th>Total</th> ");
         }else{
           if(first==1){
             first=0;
             printf("See log file for details...\n");
           }
           fprintf(ficresphtmfr,"<tr><th>%d</th> ",iage);
           fprintf(ficlog,"Age %d", iage);
         }
         for(jk=1; jk <=nlstate ; jk++){
           for(m=-1, pp[jk]=0; m <=nlstate+ndeath ; m++)
             pp[jk] += freq[jk][m][iage]; 
         }
         for(jk=1; jk <=nlstate ; jk++){
           for(m=-1, pos=0; m <=0 ; m++)
             pos += freq[jk][m][iage];
           if(pp[jk]>=1.e-10){
             if(first==1){
               printf(" %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);
             }
             fprintf(ficlog," %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);
           }else{
             if(first==1)
               printf(" %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);
             fprintf(ficlog," %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);
           }
         }
   
         for(jk=1; jk <=nlstate ; jk++){ 
           /* posprop[jk]=0; */
           for(m=0, pp[jk]=0; m <=nlstate+ndeath; m++)/* Summing on all ages */
             pp[jk] += freq[jk][m][iage];
         } /* pp[jk] is the total number of transitions starting from state jk and any ending status until this age */
   
         for(jk=1,pos=0, pospropta=0.; jk <=nlstate ; jk++){
           pos += pp[jk]; /* pos is the total number of transitions until this age */
           posprop[jk] += prop[jk][iage]; /* prop is the number of transitions from a live state
                                             from jk at age iage prop[s[m][iind]][(int)agev[m][iind]] += weight[iind] */
           pospropta += prop[jk][iage]; /* prop is the number of transitions from a live state
                                           from jk at age iage prop[s[m][iind]][(int)agev[m][iind]] += weight[iind] */
         }
         for(jk=1; jk <=nlstate ; jk++){
           if(pos>=1.e-5){
             if(first==1)
               printf(" %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);
             fprintf(ficlog," %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);
           }else{
             if(first==1)
               printf(" %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);
             fprintf(ficlog," %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);
           }
           if( iage <= iagemax){
             if(pos>=1.e-5){
               fprintf(ficresp," %d %.5f %.0f %.0f",iage,prop[jk][iage]/pospropta, prop[jk][iage],pospropta);
               fprintf(ficresphtm,"<th>%d</th><td>%.5f</td><td>%.0f</td><td>%.0f</td>",iage,prop[jk][iage]/pospropta, prop[jk][iage],pospropta);
               /*probs[iage][jk][j1]= pp[jk]/pos;*/
               /*printf("\niage=%d jk=%d j1=%d %.5f %.0f %.0f %f",iage,jk,j1,pp[jk]/pos, pp[jk],pos,probs[iage][jk][j1]);*/
             }
             else{
               fprintf(ficresp," %d NaNq %.0f %.0f",iage,prop[jk][iage],pospropta);
               fprintf(ficresphtm,"<th>%d</th><td>NaNq</td><td>%.0f</td><td>%.0f</td>",iage, prop[jk][iage],pospropta);
             }
           }
           pospropt[jk] +=posprop[jk];
         } /* end loop jk */
         /* pospropt=0.; */
         for(jk=-1; jk <=nlstate+ndeath; jk++){
           for(m=-1; m <=nlstate+ndeath; m++){
             if(freq[jk][m][iage] !=0 ) { /* minimizing output */
               if(first==1){
                 printf(" %d%d=%.0f",jk,m,freq[jk][m][iage]);
               }
               fprintf(ficlog," %d%d=%.0f",jk,m,freq[jk][m][iage]);
             }
             if(jk!=0 && m!=0)
               fprintf(ficresphtmfr,"<td>%.0f</td> ",freq[jk][m][iage]);
           }
         } /* end loop jk */
         posproptt=0.; 
         for(jk=1; jk <=nlstate; jk++){
           posproptt += pospropt[jk];
         }
         fprintf(ficresphtmfr,"</tr>\n ");
         if(iage <= iagemax){
           fprintf(ficresp,"\n");
           fprintf(ficresphtm,"</tr>\n");
         }
         if(first==1)
           printf("Others in log...\n");
         fprintf(ficlog,"\n");
       } /* end loop age iage */
       fprintf(ficresphtm,"<tr><th>Tot</th>");
       for(jk=1; jk <=nlstate ; jk++){
         if(posproptt < 1.e-5){
           fprintf(ficresphtm,"<td>Nanq</td><td>%.0f</td><td>%.0f</td>",pospropt[jk],posproptt);   
         }else{
           fprintf(ficresphtm,"<td>%.5f</td><td>%.0f</td><td>%.0f</td>",pospropt[jk]/posproptt,pospropt[jk],posproptt);    
         }
       }
       fprintf(ficresphtm,"</tr>\n");
       fprintf(ficresphtm,"</table>\n");
       fprintf(ficresphtmfr,"</table>\n");
       if(posproptt < 1.e-5){
         fprintf(ficresphtm,"\n <p><b> This combination (%d) is not valid and no result will be produced</b></p>",j1);
         fprintf(ficresphtmfr,"\n <p><b> This combination (%d) is not valid and no result will be produced</b></p>",j1);
         fprintf(ficres,"\n  This combination (%d) is not valid and no result will be produced\n\n",j1);
         invalidvarcomb[j1]=1;
       }else{
         fprintf(ficresphtm,"\n <p> This combination (%d) is valid and result will be produced.</p>",j1);
         invalidvarcomb[j1]=0;
       }
       fprintf(ficresphtmfr,"</table>\n");
     } /* end selected combination of covariate j1 */
     dateintmean=dateintsum/k2cpt; 
                    
     fclose(ficresp);
     fclose(ficresphtm);
     fclose(ficresphtmfr);
     free_vector(meanq,1,nqfveff);
     free_matrix(meanqt,1,lastpass,1,nqtveff);
     free_ma3x(freq,-5,nlstate+ndeath,-5,nlstate+ndeath, iagemin-AGEMARGE, iagemax+3+AGEMARGE);
     free_vector(pospropt,1,nlstate);
     free_vector(posprop,1,nlstate);
     free_matrix(prop,1,nlstate,iagemin-AGEMARGE, iagemax+3+AGEMARGE);
     free_vector(pp,1,nlstate);
     /* End of freqsummary */
   }
   
   /************ Prevalence ********************/
   void prevalence(double ***probs, double agemin, double agemax, int **s, double **agev, int nlstate, int imx, int *Tvar, int **nbcode, int *ncodemax,double **mint,double **anint, double dateprev1,double dateprev2, int firstpass, int lastpass)
   {  
     /* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people
        in each health status at the date of interview (if between dateprev1 and dateprev2).
        We still use firstpass and lastpass as another selection.
     */
    
     int i, m, jk, j1, bool, z1,j, iv;
     int mi; /* Effective wave */
     int iage;
     double agebegin, ageend;
   
     double **prop;
     double posprop; 
     double  y2; /* in fractional years */
     int iagemin, iagemax;
     int first; /** to stop verbosity which is redirected to log file */
   
     iagemin= (int) agemin;
     iagemax= (int) agemax;
     /*pp=vector(1,nlstate);*/
     prop=matrix(1,nlstate,iagemin-AGEMARGE,iagemax+3+AGEMARGE); 
     /*  freq=ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,iagemin,iagemax+3);*/
     j1=0;
     
     /*j=cptcoveff;*/
     if (cptcovn<1) {j=1;ncodemax[1]=1;}
     
     first=1;
     for(j1=1; j1<= (int) pow(2,cptcoveff);j1++){ /* For each combination of covariate */
       for (i=1; i<=nlstate; i++)  
         for(iage=iagemin-AGEMARGE; iage <= iagemax+3+AGEMARGE; iage++)
           prop[i][iage]=0.0;
       printf("Prevalence combination of varying and fixed dummies %d\n",j1);
       /* fprintf(ficlog," V%d=%d ",Tvaraff[j1],nbcode[Tvaraff[j1]][codtabm(k,j1)]); */
       fprintf(ficlog,"Prevalence combination of varying and fixed dummies %d\n",j1);
       
       for (i=1; i<=imx; i++) { /* Each individual */
         bool=1;
         /* for(m=firstpass; m<=lastpass; m++){/\* Other selection (we can limit to certain interviews*\/ */
         for(mi=1; mi<wav[i];mi++){ /* For this wave too look where individual can be counted V4=0 V3=0 */
           m=mw[mi][i];
           /* Tmodelind[z1]=k is the position of the varying covariate in the model, but which # within 1 to ntv? */
           /* Tvar[Tmodelind[z1]] is the n of Vn; n-ncovcol-nqv is the first time varying covariate or iv */
           for (z1=1; z1<=cptcoveff; z1++){
             if( Fixed[Tmodelind[z1]]==1){
               iv= Tvar[Tmodelind[z1]]-ncovcol-nqv;
               if (cotvar[m][iv][i]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]) /* iv=1 to ntv, right modality */
                 bool=0;
             }else if( Fixed[Tmodelind[z1]]== 0)  /* fixed */
               if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]) {
                 bool=0;
               }
           }
           if(bool==1){ /* Otherwise we skip that wave/person */
             agebegin=agev[m][i]; /* Age at beginning of wave before transition*/
             /* ageend=agev[m][i]+(dh[m][i])*stepm/YEARM; /\* Age at end of wave and transition *\/ */
             if(m >=firstpass && m <=lastpass){
               y2=anint[m][i]+(mint[m][i]/12.); /* Fractional date in year */
               if ((y2>=dateprev1) && (y2<=dateprev2)) { /* Here is the main selection (fractional years) */
                 if(agev[m][i]==0) agev[m][i]=iagemax+1;
                 if(agev[m][i]==1) agev[m][i]=iagemax+2;
                 if((int)agev[m][i] <iagemin-AGEMARGE || (int)agev[m][i] >iagemax+3+AGEMARGE){
                   printf("Error on individual # %d agev[m][i]=%f <%d-%d or > %d+3+%d  m=%d; either change agemin or agemax or fix data\n",i, agev[m][i],iagemin,AGEMARGE, iagemax,AGEMARGE,m); 
                   exit(1);
                 }
                 if (s[m][i]>0 && s[m][i]<=nlstate) { 
                   /*if(i>4620) printf(" i=%d m=%d s[m][i]=%d (int)agev[m][i]=%d weight[i]=%f prop=%f\n",i,m,s[m][i],(int)agev[m][m],weight[i],prop[s[m][i]][(int)agev[m][i]]);*/
                   prop[s[m][i]][(int)agev[m][i]] += weight[i];/* At age of beginning of transition, where status is known */
                   prop[s[m][i]][iagemax+3] += weight[i]; 
                 } /* end valid statuses */ 
               } /* end selection of dates */
             } /* end selection of waves */
           } /* end bool */
         } /* end wave */
       } /* end individual */
       for(i=iagemin; i <= iagemax+3; i++){  
         for(jk=1,posprop=0; jk <=nlstate ; jk++) { 
           posprop += prop[jk][i]; 
         } 
         
         for(jk=1; jk <=nlstate ; jk++){       
           if( i <=  iagemax){ 
             if(posprop>=1.e-5){ 
               probs[i][jk][j1]= prop[jk][i]/posprop;
             } else{
               if(first==1){
                 first=0;
                 printf("Warning Observed prevalence probs[%d][%d][%d]=%lf because of lack of cases\nSee others in log file...\n",jk,i,j1,probs[i][jk][j1]);
               }
             }
           } 
         }/* end jk */ 
       }/* end i */ 
        /*} *//* end i1 */
     } /* end j1 */
     
     /*  free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath, iagemin, iagemax+3);*/
     /*free_vector(pp,1,nlstate);*/
     free_matrix(prop,1,nlstate, iagemin-AGEMARGE,iagemax+3+AGEMARGE);
   }  /* End of prevalence */
   
   /************* Waves Concatenation ***************/
   
   void  concatwav(int wav[], int **dh, int **bh,  int **mw, int **s, double *agedc, double **agev, int  firstpass, int lastpass, int imx, int nlstate, int stepm)
   {
     /* Concatenates waves: wav[i] is the number of effective (useful waves) of individual i.
        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
        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.
     */
   
     int i=0, mi=0, m=0, mli=0;
     /* int j, k=0,jk, ju, jl,jmin=1e+5, jmax=-1;
        double sum=0., jmean=0.;*/
     int first=0, firstwo=0, firsthree=0, firstfour=0, firstfiv=0;
     int j, k=0,jk, ju, jl;
     double sum=0.;
     first=0;
     firstwo=0;
     firsthree=0;
     firstfour=0;
     jmin=100000;
     jmax=-1;
     jmean=0.;
   
   /* Treating live states */
     for(i=1; i<=imx; i++){  /* For simple cases and if state is death */
       mi=0;  /* First valid wave */
       mli=0; /* Last valid wave */
       m=firstpass;
       while(s[m][i] <= nlstate){  /* a live state */
         if(m >firstpass && s[m][i]==s[m-1][i] && mint[m][i]==mint[m-1][i] && anint[m][i]==anint[m-1][i]){/* Two succesive identical information on wave m */
           mli=m-1;/* mw[++mi][i]=m-1; */
         }else if(s[m][i]>=1 || s[m][i]==-4 || s[m][i]==-5){ /* Since 0.98r4 if status=-2 vital status is really unknown, wave should be skipped */
           mw[++mi][i]=m;
           mli=m;
         } /* else might be a useless wave  -1 and mi is not incremented and mw[mi] not updated */
         if(m < lastpass){ /* m < lastpass, standard case */
           m++; /* mi gives the "effective" current wave, m the current wave, go to next wave by incrementing m */
         }
         else{ /* m >= lastpass, eventual special issue with warning */
   #ifdef UNKNOWNSTATUSNOTCONTRIBUTING
           break;
   #else
           if(s[m][i]==-1 && (int) andc[i] == 9999 && (int)anint[m][i] != 9999){
             if(firsthree == 0){
               printf("Information! Unknown status for individual %ld line=%d occurred at last wave %d at known date %d/%d. Please, check if your unknown date of death %d/%d means a live state %d at wave %d. This case(%d)/wave(%d) contributes to the likelihood as pi. .\nOthers in log file only\n",num[i],i,lastpass,(int)mint[m][i],(int)anint[m][i], (int) moisdc[i], (int) andc[i], s[m][i], m, i, m);
               firsthree=1;
             }
             fprintf(ficlog,"Information! Unknown status for individual %ld line=%d occurred at last wave %d at known date %d/%d. Please, check if your unknown date of death %d/%d means a live state %d at wave %d. This case(%d)/wave(%d) contributes to the likelihood as pi. .\n",num[i],i,lastpass,(int)mint[m][i],(int)anint[m][i], (int) moisdc[i], (int) andc[i], s[m][i], m, i, m);
             mw[++mi][i]=m;
             mli=m;
           }
           if(s[m][i]==-2){ /* Vital status is really unknown */
             nbwarn++;
             if((int)anint[m][i] == 9999){  /*  Has the vital status really been verified? */
               printf("Warning! Vital status for individual %ld (line=%d) at last wave %d interviewed at date %d/%d is unknown %d. Please, check if the vital status and the date of death %d/%d are really unknown. This case (%d)/wave (%d) is skipped, no contribution to likelihood.\nOthers in log file only\n",num[i],i,lastpass,(int)mint[m][i],(int)anint[m][i], s[m][i], (int) moisdc[i], (int) andc[i], i, m);
               fprintf(ficlog,"Warning! Vital status for individual %ld (line=%d) at last wave %d interviewed at date %d/%d is unknown %d. Please, check if the vital status and the date of death %d/%d are really unknown. This case (%d)/wave (%d) is skipped, no contribution to likelihood.\n",num[i],i,lastpass,(int)mint[m][i],(int)anint[m][i], s[m][i], (int) moisdc[i], (int) andc[i], i, m);
             }
             break;
           }
           break;
   #endif
         }/* End m >= lastpass */
       }/* end while */
   
       /* mi is the last effective wave, m is lastpass, mw[j][i] gives the # of j-th effective wave for individual i */
       /* After last pass */
   /* Treating death states */
       if (s[m][i] > nlstate){  /* In a death state */
         /* if( mint[m][i]==mdc[m][i] && anint[m][i]==andc[m][i]){ /\* same date of death and date of interview *\/ */
         /* } */
         mi++;     /* Death is another wave */
         /* if(mi==0)  never been interviewed correctly before death */
         /* Only death is a correct wave */
         mw[mi][i]=m;
       }
   #ifndef DISPATCHINGKNOWNDEATHAFTERLASTWAVE
       else if ((int) andc[i] != 9999) { /* Status is negative. A death occured after lastpass, we can't take it into account because of potential bias */
         /* m++; */
         /* mi++; */
         /* s[m][i]=nlstate+1;  /\* We are setting the status to the last of non live state *\/ */
         /* mw[mi][i]=m; */
         if ((int)anint[m][i]!= 9999) { /* date of last interview is known */
           if((andc[i]+moisdc[i]/12.) <=(anint[m][i]+mint[m][i]/12.)){ /* death occured before last wave and status should have been death instead of -1 */
             nbwarn++;
             if(firstfiv==0){
               printf("Warning! Death for individual %ld line=%d occurred at %d/%d before last wave %d interviewed at %d/%d and should have been coded as death instead of '%d'. This case (%d)/wave (%d) is contributing to likelihood.\nOthers in log file only\n",num[i],i,(int) moisdc[i], (int) andc[i], lastpass,(int)mint[m][i],(int)anint[m][i], s[m][i], i,m );
               firstfiv=1;
             }else{
               fprintf(ficlog,"Warning! Death for individual %ld line=%d occurred at %d/%d before last wave %d interviewed at %d/%d and should have been coded as death instead of '%d'. This case (%d)/wave (%d) is contributing to likelihood.\n",num[i],i,(int) moisdc[i], (int) andc[i], lastpass,(int)mint[m][i],(int)anint[m][i], s[m][i], i,m );
             }
           }else{ /* Death occured afer last wave potential bias */
             nberr++;
             if(firstwo==0){
               printf("Error! Death for individual %ld line=%d occurred at %d/%d after last wave %d interviewed at %d/%d. Potential bias if other individuals are still alive at this date but ignored. This case (%d)/wave (%d) is skipped, no contribution to likelihood.\nOthers in log file only\n",num[i],i,(int) moisdc[i], (int) andc[i], lastpass,(int)mint[m][i],(int)anint[m][i], i,m );
               firstwo=1;
             }
             fprintf(ficlog,"Error! Death for individual %ld line=%d occurred at %d/%d after last wave %d interviewed at %d/%d. Potential bias if other individuals are still alive at this date but ignored. This case (%d)/wave (%d) is skipped, no contribution to likelihood.\n",num[i],i,(int) moisdc[i], (int) andc[i], lastpass,(int)mint[m][i],(int)anint[m][i], i,m );
           }
         }else{ /* end date of interview is known */
           /* death is known but not confirmed by death status at any wave */
           if(firstfour==0){
             printf("Error! Death for individual %ld line=%d  occurred %d/%d but not confirmed by any death status for any wave, including last wave %d at unknown date %d/%d. Potential bias if other individuals are still alive at this date but ignored. This case (%d)/wave (%d) is skipped, no contribution to likelihood.\nOthers in log file only\n",num[i],i,(int) moisdc[i], (int) andc[i], lastpass,(int)mint[m][i],(int)anint[m][i], i,m );
             firstfour=1;
           }
           fprintf(ficlog,"Error! Death for individual %ld line=%d  occurred %d/%d but not confirmed by any death status for any wave, including last wave %d at unknown date %d/%d. Potential bias if other individuals are still alive at this date but ignored. This case (%d)/wave (%d) is skipped, no contribution to likelihood.\n",num[i],i,(int) moisdc[i], (int) andc[i], lastpass,(int)mint[m][i],(int)anint[m][i], i,m );
         }
       } /* end if date of death is known */
   #endif
       wav[i]=mi; /* mi should be the last effective wave (or mli) */
       /* wav[i]=mw[mi][i]; */
       if(mi==0){
         nbwarn++;
         if(first==0){
           printf("Warning! No valid information for individual %ld line=%d (skipped) and may be others, see log file\n",num[i],i);
           first=1;
         }
         if(first==1){
           fprintf(ficlog,"Warning! No valid information for individual %ld line=%d (skipped)\n",num[i],i);
         }
       } /* end mi==0 */
     } /* End individuals */
     /* wav and mw are no more changed */
           
     
     for(i=1; i<=imx; i++){
       for(mi=1; mi<wav[i];mi++){
         if (stepm <=0)
           dh[mi][i]=1;
         else{
           if (s[mw[mi+1][i]][i] > nlstate) { /* A death */
             if (agedc[i] < 2*AGESUP) {
               j= rint(agedc[i]*12-agev[mw[mi][i]][i]*12); 
               if(j==0) j=1;  /* Survives at least one month after exam */
               else if(j<0){
                 nberr++;
                 printf("Error! Negative delay (%d to death) between waves %d and %d of individual %ld at line %d who is aged %.1f with statuses from %d to %d\n ",j,mw[mi][i],mw[mi+1][i],num[i], i,agev[mw[mi][i]][i],s[mw[mi][i]][i] ,s[mw[mi+1][i]][i]);
                 j=1; /* Temporary Dangerous patch */
                 printf("   We assumed that the date of interview was correct (and not the date of death) and postponed the death %d month(s) (one stepm) after the interview. You MUST fix the contradiction between dates.\n",stepm);
                 fprintf(ficlog,"Error! Negative delay (%d to death) between waves %d and %d of individual %ld at line %d who is aged %.1f with statuses from %d to %d\n ",j,mw[mi][i],mw[mi+1][i],num[i], i,agev[mw[mi][i]][i],s[mw[mi][i]][i] ,s[mw[mi+1][i]][i]);
                 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);
               }
               k=k+1;
               if (j >= jmax){
                 jmax=j;
                 ijmax=i;
               }
               if (j <= jmin){
                 jmin=j;
                 ijmin=i;
               }
               sum=sum+j;
               /*if (j<0) printf("j=%d num=%d \n",j,i);*/
               /*    printf("%d %d %d %d\n", s[mw[mi][i]][i] ,s[mw[mi+1][i]][i],j,i);*/
             }
           }
           else{
             j= rint( (agev[mw[mi+1][i]][i]*12 - agev[mw[mi][i]][i]*12));
   /*        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]); */
                                           
             k=k+1;
             if (j >= jmax) {
               jmax=j;
               ijmax=i;
             }
             else if (j <= jmin){
               jmin=j;
               ijmin=i;
             }
             /*        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]);
               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]);
             }
             sum=sum+j;
           }
           jk= j/stepm;
           jl= j -jk*stepm;
           ju= j -(jk+1)*stepm;
           if(mle <=1){ /* only if we use a the linear-interpoloation pseudo-likelihood */
             if(jl==0){
               dh[mi][i]=jk;
               bh[mi][i]=0;
             }else{ /* We want a negative bias in order to only have interpolation ie
                     * to avoid the price of an extra matrix product in likelihood */
               dh[mi][i]=jk+1;
               bh[mi][i]=ju;
             }
           }else{
             if(jl <= -ju){
               dh[mi][i]=jk;
               bh[mi][i]=jl;       /* bias is positive if real duration
                                    * is higher than the multiple of stepm and negative otherwise.
                                    */
             }
             else{
               dh[mi][i]=jk+1;
               bh[mi][i]=ju;
             }
             if(dh[mi][i]==0){
               dh[mi][i]=1; /* At least one step */
               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);*/
             }
           } /* end if mle */
         }
       } /* end wave */
     }
     jmean=sum/k;
     printf("Delay (in months) between two waves Min=%d (for indiviudal %ld) Max=%d (%ld) Mean=%f\n\n ",jmin, num[ijmin], jmax, num[ijmax], jmean);
     fprintf(ficlog,"Delay (in months) between two waves Min=%d (for indiviudal %d) Max=%d (%d) Mean=%f\n\n ",jmin, ijmin, jmax, ijmax, jmean);
   }
   
   /*********** Tricode ****************************/
    void tricode(int *cptcov, int *Tvar, int **nbcode, int imx, int *Ndum)
   {
     /**< Uses cptcovn+2*cptcovprod as the number of covariates */
     /*      Tvar[i]=atoi(stre);  find 'n' in Vn and stores in Tvar. If model=V2+V1 Tvar[1]=2 and Tvar[2]=1 
      * Boring subroutine which should only output nbcode[Tvar[j]][k]
      * Tvar[5] in V2+V1+V3*age+V2*V4 is 4 (V4) even it is a time varying or quantitative variable
      * nbcode[Tvar[5]][1]= nbcode[4][1]=0, nbcode[4][2]=1 (usually);
     */
   
     int ij=1, k=0, j=0, i=0, maxncov=NCOVMAX;
     int modmaxcovj=0; /* Modality max of covariates j */
     int cptcode=0; /* Modality max of covariates j */
     int modmincovj=0; /* Modality min of covariates j */
   
   
     /* cptcoveff=0;  */
           /* *cptcov=0; */
    
     for (k=1; k <= maxncov; k++) ncodemax[k]=0; /* Horrible constant again replaced by NCOVMAX */
   
     /* Loop on covariates without age and products and no quantitative variable */
     /* for (j=1; j<=(cptcovs); j++) { /\* From model V1 + V2*age+ V3 + V3*V4 keeps V1 + V3 = 2 only *\/ */
     for (k=1; k<=cptcovt; k++) { /* From model V1 + V2*age + V3 + V3*V4 keeps V1 + V3 = 2 only */
       for (j=-1; (j < maxncov); j++) Ndum[j]=0;
       if(Dummy[k]==0 && Typevar[k] !=1){ /* Dummy covariate and not age product */ 
         switch(Fixed[k]) {
         case 0: /* Testing on fixed dummy covariate, simple or product of fixed */
           for (i=1; i<=imx; i++) { /* Loop on individuals: reads the data file to get the maximum value of the  modality of this covariate Vj*/
             ij=(int)(covar[Tvar[k]][i]);
             /* ij=0 or 1 or -1. Value of the covariate Tvar[j] for individual i
              * If product of Vn*Vm, still boolean *:
              * If it was coded 1, 2, 3, 4 should be splitted into 3 boolean variables
              * 1 => 0 0 0, 2 => 0 0 1, 3 => 0 1 1, 4=1 0 0   */
             /* Finds for covariate j, n=Tvar[j] of Vn . ij is the
                modality of the nth covariate of individual i. */
             if (ij > modmaxcovj)
               modmaxcovj=ij; 
             else if (ij < modmincovj) 
               modmincovj=ij; 
             if ((ij < -1) && (ij > NCOVMAX)){
               printf( "Error: minimal is less than -1 or maximal is bigger than %d. Exiting. \n", NCOVMAX );
               exit(1);
             }else
               Ndum[ij]++; /*counts and stores the occurence of this modality 0, 1, -1*/
             /*  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
                female ies 1, then modmaxcovj=1.
             */
           } /* end for loop on individuals i */
           printf(" Minimal and maximal values of %d th covariate V%d: min=%d max=%d \n", k, Tvar[k], modmincovj, modmaxcovj);
           fprintf(ficlog," Minimal and maximal values of %d th covariate V%d: min=%d max=%d \n", k, Tvar[k], modmincovj, modmaxcovj);
           cptcode=modmaxcovj;
           /* Ndum[0] = frequency of 0 for model-covariate j, Ndum[1] frequency of 1 etc. */
           /*for (i=0; i<=cptcode; i++) {*/
           for (j=modmincovj;  j<=modmaxcovj; j++) { /* j=-1 ? 0 and 1*//* For each value j of the modality of model-cov k */
             printf("Frequencies of covariates %d ie V%d with value %d: %d\n", k, Tvar[k], j, Ndum[j]);
             fprintf(ficlog, "Frequencies of covariates %d ie V%d with value %d: %d\n", k, Tvar[k], j, Ndum[j]);
             if( Ndum[j] != 0 ){ /* Counts if nobody answered modality j ie empty modality, we skip it and reorder */
               if( j != -1){
                 ncodemax[k]++;  /* ncodemax[k]= Number of modalities of the k th
                                    covariate for which somebody answered excluding 
                                    undefined. Usually 2: 0 and 1. */
               }
               ncodemaxwundef[k]++; /* ncodemax[j]= Number of modalities of the k th
                                       covariate for which somebody answered including 
                                       undefined. Usually 3: -1, 0 and 1. */
             }
             /* In fact  ncodemax[k]=2 (dichotom. variables only) but it could be more for
              * historical reasons: 3 if coded 1, 2, 3 and 4 and Ndum[2]=0 */
           } /* Ndum[-1] number of undefined modalities */
           
           /* j is a covariate, n=Tvar[j] of Vn; Fills nbcode */
           /* For covariate j, modalities could be 1, 2, 3, 4, 5, 6, 7. 
              If Ndum[1]=0, Ndum[2]=0, 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 3, 6, 7 (or 2 if 27 is too few) : ncodemax[j]=3;
              which will be coded 0, 1, 2 which in binary on 2=3-1 digits are 0=00 1=01, 2=10;
              defining two dummy variables: variables V1_1 and V1_2.
              nbcode[Tvar[j]][ij]=k;
              nbcode[Tvar[j]][1]=0;
              nbcode[Tvar[j]][2]=1;
              nbcode[Tvar[j]][3]=2;
              To be continued (not working yet).
           */
           ij=0; /* ij is similar to i but can jump over null modalities */
           for (i=modmincovj; i<=modmaxcovj; i++) { /* i= 1 to 2 for dichotomous, or from 1 to 3 or from -1 or 0 to 1 currently*/
             if (Ndum[i] == 0) { /* If nobody responded to this modality k */
               break;
             }
             ij++;
             nbcode[Tvar[k]][ij]=i;  /* stores the original value of modality i in an array nbcode, ij modality from 1 to last non-nul modality. nbcode[1][1]=0 nbcode[1][2]=1*/
             cptcode = ij; /* New max modality for covar j */
           } /* end of loop on modality i=-1 to 1 or more */
           break;
         case 1: /* Testing on varying covariate, could be simple and
                  * should look at waves or product of fixed *
                  * varying. No time to test -1, assuming 0 and 1 only */
           ij=0;
           for(i=0; i<=1;i++){
             nbcode[Tvar[k]][++ij]=i;
           }
           break;
         default:
           break;
         } /* end switch */
       } /* end dummy test */
       
       /*   for (k=0; k<= cptcode; k++) { /\* k=-1 ? k=0 to 1 *\//\* Could be 1 to 4 *\//\* cptcode=modmaxcovj *\/ */
       /*  /\*recode from 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; */
       /*                            But if some modality were not used, it is recoded from 0 to a newer modmaxcovj=cptcode *\/ */
       /*  } */
       /*  /\* cptcode = ij; *\/ /\* New max modality for covar j *\/ */
       /*  if (ij > ncodemax[j]) { */
       /*    printf( " Error ij=%d > ncodemax[%d]=%d\n", ij, j, ncodemax[j]);  */
       /*    fprintf(ficlog, " Error ij=%d > ncodemax[%d]=%d\n", ij, j, ncodemax[j]); */
       /*    break; */
       /*  } */
       /*   }  /\* end of loop on modality k *\/ */
     } /* end of loop on model-covariate j. nbcode[Tvarj][1]=0 and nbcode[Tvarj][2]=1 sets the value of covariate j*/  
     
     for (k=-1; k< maxncov; k++) Ndum[k]=0; 
     /* Look at fixed dummy (single or product) covariates to check empty modalities */
     for (i=1; i<=ncovmodel-2-nagesqr; i++) { /* -2, cste and age and eventually age*age */ 
       /* Listing of all covariables in statement model to see if some covariates appear twice. For example, V1 appears twice in V1+V1*V2.*/ 
       ij=Tvar[i]; /* Tvar 5,4,3,6,5,7,1,4 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V4*age */ 
       Ndum[ij]++; /* Count the # of 1, 2 etc: {1,1,1,2,2,1,1} because V1 once, V2 once, two V4 and V5 in above */
       /* V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1,  {2, 1, 1, 1, 2, 1, 1, 0, 0} */
     } /* V4+V3+V5, Ndum[1]@5={0, 0, 1, 1, 1} */
     
     ij=0;
     /* for (i=0; i<=  maxncov-1; i++) { /\* modmaxcovj is unknown here. Only Ndum[2(V2),3(age*V3), 5(V3*V2) 6(V1*V4) *\/ */
     for (k=1; k<=  cptcovt; k++) { /* 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]);*/
       /* if((Ndum[i]!=0) && (i<=ncovcol)){  /\* Tvar[i] <= ncovmodel ? *\/ */
       if(Ndum[Tvar[k]]!=0 && Dummy[k] == 0 && Typevar[k]==0){  /* Only Dummy and non empty in the model */
         /* If product not in single variable we don't print results */
         /*printf("diff Ndum[%d]=%d\n",i, Ndum[i]);*/
         ++ij;
         Tvaraff[ij]=Tvar[k]; /*For printing */
         Tmodelind[ij]=k;
         TmodelInvind[k]=Tvar[k]- ncovcol-nqv;
         if(Fixed[k]!=0)
           anyvaryingduminmodel=1;
       /* }else if((Ndum[i]!=0) && (i<=ncovcol+nqv)){ */
       /*   Tvaraff[++ij]=-10; /\* Dont'n know how to treat quantitative variables yet *\/ */
       /* }else if((Ndum[i]!=0) && (i<=ncovcol+nqv+ntv)){ */
       /*   Tvaraff[++ij]=i; /\*For printing (unclear) *\/ */
       /* }else if((Ndum[i]!=0) && (i<=ncovcol+nqv+ntv+nqtv)){ */
       /*   Tvaraff[++ij]=-20; /\* Dont'n know how to treat quantitative variables yet *\/ */
       } 
     } /* Tvaraff[1]@5 {3, 4, -20, 0, 0} Very strange */
     /* ij--; */
     /* cptcoveff=ij; /\*Number of total covariates*\/ */
     *cptcov=ij; /*Number of total real effective covariates: effective
                  * because they can be excluded from the model and real
                  * if in the model but excluded because missing values, but how to get k from ij?*/
     for(j=ij+1; j<= cptcovt; j++){
       Tvaraff[j]=0;
       Tmodelind[j]=0;
     }
     for(j=ntveff+1; j<= cptcovt; j++){
       TmodelInvind[j]=0;
     }
     /* To be sorted */
     ;
   }
   
   
   /*********** Health Expectancies ****************/
   
   void evsij(double ***eij, double x[], int nlstate, int stepm, int bage, int fage, double **oldm, double **savm, int cij, int estepm,char strstart[] )
   
   {
     /* Health expectancies, no variances */
     int i, j, nhstepm, hstepm, h, nstepm;
     int nhstepma, nstepma; /* Decreasing with age */
     double age, agelim, hf;
     double ***p3mat;
     double eip;
   
     pstamp(ficreseij);
     fprintf(ficreseij,"# (a) Life expectancies by health status at initial age and (b) health expectancies by health status at initial age\n");
     fprintf(ficreseij,"# Age");
     for(i=1; i<=nlstate;i++){
       for(j=1; j<=nlstate;j++){
         fprintf(ficreseij," e%1d%1d ",i,j);
       }
       fprintf(ficreseij," e%1d. ",i);
     }
     fprintf(ficreseij,"\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 */ 
   
     agelim=AGESUP;
     /* If stepm=6 months */
       /* Computed by stepm unit matrices, product of hstepm matrices, stored
          in an array of nhstepm length: nhstepm=10, hstepm=4, stepm=6 months */
       
   /* nhstepm age range expressed in number of stepm */
     nstepm=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
     /* 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 */
     p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
   
     for (age=bage; age<=fage; age ++){ 
       nstepma=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
       /* 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 */
       
       hpxij(p3mat,nhstepma,age,hstepm,x,nlstate,stepm,oldm, savm, cij);  
       
       hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
       
       printf("%d|",(int)age);fflush(stdout);
       fprintf(ficlog,"%d|",(int)age);fflush(ficlog);
       
       /* Computing expectancies */
       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] += (p3mat[i][j][h]+p3mat[i][j][h+1])/2.0*hf;
             
             /* if((int)age==70)printf("i=%2d,j=%2d,h=%2d,age=%3d,%9.4f,%9.4f,%9.4f\n",i,j,h,(int)age,p3mat[i][j][h],hf,eij[i][j][(int)age]);*/
   
           }
   
       fprintf(ficreseij,"%3.0f",age );
       for(i=1; i<=nlstate;i++){
         eip=0;
         for(j=1; j<=nlstate;j++){
           eip +=eij[i][j][(int)age];
           fprintf(ficreseij,"%9.4f", eij[i][j][(int)age] );
         }
         fprintf(ficreseij,"%9.4f", eip );
       }
       fprintf(ficreseij,"\n");
       
     }
     free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
     printf("\n");
     fprintf(ficlog,"\n");
     
   }
   
   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[] )
   
   {
     /* Covariances of health expectancies eij and of total life expectancies according
        to initial status i, ei. .
     */
     int i, j, nhstepm, hstepm, h, nstepm, k, cptj, cptj2, i2, j2, ij, ji;
     int nhstepma, nstepma; /* Decreasing with age */
     double age, agelim, hf;
     double ***p3matp, ***p3matm, ***varhe;
     double **dnewm,**doldm;
     double *xp, *xm;
     double **gp, **gm;
     double ***gradg, ***trgradg;
     int theta;
   
     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 *ncvyearp, 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,fileresu);
      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(ficgp,"\nunset title \n");
      /* 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 agelim. 
         Look at function hpijx to understand why because of memory size limitations, 
         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);
          }
                           
          prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,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];
            }
          }
                           
          hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);  /* Returns p3mat[i][j][h] for h=1 to nhstepm */
          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];
            }
          }
          /* Next 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);
                           
          prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp, 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];
            }
          }
                           
          hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, 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 */
                   
        prevalim(prlim,nlstate,x,age,oldm,savm,ftolpl,ncvyearp,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.
        */
        hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm,savm, ij);  
        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"); */
      fprintf(ficgp,"\nunset parametric;unset label; set ter svg size 640, 480");
      /* 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,"\nset out \"%s%s.svg\";",subdirf3(optionfilefiname,"VARMUPTJGR-",digitp),digit);
      /*   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.svg\"> <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.svg\"> <br>\n", stepm,YEARM,digitp,digit);
       */
      /*   fprintf(ficgp,"\nset out \"varmuptjgr%s%s%s.svg\";replot;",digitp,optionfilefiname,digit); */
      fprintf(ficgp,"\nset out;\nset out \"%s%s.svg\";replot;set out;\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 *ncvyearp, int ij, char strstart[])
   {
     /* Variance of prevalence limit  for each state ij using current parameters x[] and estimates of neighbourhood give by delti*/
     /*  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 **mgm, **mgp;
     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);
       mgp=matrix(1,npar,1,nlstate);
       mgm=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);
         }
         if((int)age==79 ||(int)age== 80 ||(int)age== 81 )
           prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij);
         else
           prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij);
         for(i=1;i<=nlstate;i++){
           gp[i] = prlim[i][i];
           mgp[theta][i] = prlim[i][i];
         }
         for(i=1; i<=npar; i++) /* Computes gradient */
           xp[i] = x[i] - (i==theta ?delti[theta]:0);
         if((int)age==79 ||(int)age== 80 ||(int)age== 81 )
           prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij);
         else
           prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij);
         for(i=1;i<=nlstate;i++){
           gm[i] = prlim[i][i];
           mgm[theta][i] = prlim[i][i];
         }
         for(i=1;i<=nlstate;i++)
           gradg[theta][i]= (gp[i]-gm[i])/2./delti[theta];
         /* gradg[theta][2]= -gradg[theta][1]; */ /* For testing if nlstate=2 */
       } /* 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];
       /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ){ */
       /*   printf("\nmgm mgp %d ",(int)age); */
       /*   for(j=1; j<=nlstate;j++){ */
       /*  printf(" %d ",j); */
       /*  for(theta=1; theta <=npar; theta++) */
       /*    printf(" %d %lf %lf",theta,mgm[theta][j],mgp[theta][j]); */
       /*  printf("\n "); */
       /*   } */
       /* } */
       /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ){ */
       /*   printf("\n gradg %d ",(int)age); */
       /*   for(j=1; j<=nlstate;j++){ */
       /*  printf("%d ",j); */
       /*  for(theta=1; theta <=npar; theta++) */
       /*    printf("%d %lf ",theta,gradg[theta][j]); */
       /*  printf("\n "); */
       /*   } */
       /* } */
   
       for(i=1;i<=nlstate;i++)
         varpl[i][(int)age] =0.;
       if((int)age==79 ||(int)age== 80  ||(int)age== 81){
       matprod2(dnewm,trgradg,1,nlstate,1,npar,1,npar,matcov);
       matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg);
       }else{
       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(mgm,1,npar,1,nlstate);
       free_matrix(mgp,1,npar,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,fileresu);
      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,fileresu);
      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 one-step probabilities (drawings)</a></h4> this page is important in order to visualize confidence intervals and especially correlation between disability and recovery, or more generally, way in and way back.</li>\n",optionfilehtmcov);
      fprintf(fichtmcov,"Current page is file <a href=\"%s\">%s</a><br>\n\n<h4>Matrix of variance-covariance of pairs of step probabilities</h4>\n",optionfilehtmcov, 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 each valid combination of covariates or only once*/
        if  (cptcovn>0) {
          fprintf(ficresprob, "\n#********** Variable "); 
          for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprob, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(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]][codtabm(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]][codtabm(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]][codtabm(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]][codtabm(j1,z1)]);
          fprintf(ficresprobcor, "**********\n#");    
          if(invalidvarcomb[j1]){
            fprintf(ficgp,"\n#Combination (%d) ignored because no cases \n",j1); 
            fprintf(fichtmcov,"\n<h3>Combination (%d) ignored because no cases </h3>\n",j1); 
            continue;
          }
        }
        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;
          if(nagesqr==1)
            cov[3]= age*age;
          for (k=1; k<=cptcovn;k++) {
            cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(j1,k)];
            /*cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(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<=cptcovage;k++) cov[2+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
          for (k=1; k<=cptcovprod;k++)
            cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)]*nbcode[Tvard[k][2]][codtabm(ij,k)];
                           
                           
          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,"\n# Ellipsoids of confidence\n#\n");
                      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 svg size 640, 480");
                      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.svg\">                                                                                                                                           \
   %s_%d%1d%1d-%1d%1d.svg</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.svg\"> ",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.svg\"",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;\nset out \"%s_%d%1d%1d-%1d%1d.svg\";replot;set out;",subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
                first=1;
              } /*l12 */
            } /* k12 */
          } /*l1 */
        }/* k1 */
      }  /* loop on combination of covariates j1 */
      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 fileresu[], 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 prevfcast, int backcast, int estepm , \
                     double jprev1, double mprev1,double anprev1, double dateprev1, \
                     double jprev2, double mprev2,double anprev2, double dateprev2){
     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");
      fprintf(fichtm,"<li>- Observed frequency between two states (during the period defined between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf): <a href=\"%s\">%s</a> (html file)<br/>\n",
              jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,subdirfext3(optionfilefiname,"PHTMFR_",".htm"),subdirfext3(optionfilefiname,"PHTMFR_",".htm"));
      fprintf(fichtm,"<li> - Observed prevalence in each state (during the period defined between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf): <a href=\"%s\">%s</a> (html file) ",
              jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,subdirfext3(optionfilefiname,"PHTM_",".htm"),subdirfext3(optionfilefiname,"PHTM_",".htm"));
      fprintf(fichtm,",  <a href=\"%s\">%s</a> (text file) <br>\n",subdirf2(fileresu,"P_"),subdirf2(fileresu,"P_"));
      fprintf(fichtm,"\
    - Estimated transition probabilities over %d (stepm) months: <a href=\"%s\">%s</a><br>\n ",
              stepm,subdirf2(fileresu,"PIJ_"),subdirf2(fileresu,"PIJ_"));
      fprintf(fichtm,"\
    - Estimated back transition probabilities over %d (stepm) months: <a href=\"%s\">%s</a><br>\n ",
              stepm,subdirf2(fileresu,"PIJB_"),subdirf2(fileresu,"PIJB_"));
      fprintf(fichtm,"\
    - Period (stable) prevalence in each health state: <a href=\"%s\">%s</a> <br>\n",
              subdirf2(fileresu,"PL_"),subdirf2(fileresu,"PL_"));
      fprintf(fichtm,"\
    - Period (stable) back prevalence in each health state: <a href=\"%s\">%s</a> <br>\n",
              subdirf2(fileresu,"PLB_"),subdirf2(fileresu,"PLB_"));
      fprintf(fichtm,"\
    - (a) Life expectancies by health status at initial age, e<sub>i.</sub> (b) health expectancies by health status at initial age, e<sub>ij</sub> . 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(fileresu,"E_"),subdirf2(fileresu,"E_"));
      if(prevfcast==1){
        fprintf(fichtm,"\
    - Prevalence projections by age and states:                            \
      <a href=\"%s\">%s</a> <br>\n</li>", subdirf2(fileresu,"F_"),subdirf2(fileresu,"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]][codtabm(jj1,cpt)]);
            printf(" V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]);fflush(stdout);
          }
          fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");
          if(invalidvarcomb[k1]){
            fprintf(fichtm,"\n<h3>Combination (%d) ignored because no cases </h3>\n",k1); 
            printf("\nCombination (%d) ignored because no cases \n",k1); 
            continue;
          }
        }
        /* aij, bij */
        fprintf(fichtm,"<br>- Logit model (yours is: 1+age+%s), for example: logit(pij)=log(pij/pii)= aij+ bij age + V1 age + etc. as a function of age: <a href=\"%s_%d-1.svg\">%s_%d-1.svg</a><br> \
   <img src=\"%s_%d-1.svg\">",model,subdirf2(optionfilefiname,"PE_"),jj1,subdirf2(optionfilefiname,"PE_"),jj1,subdirf2(optionfilefiname,"PE_"),jj1);
        /* Pij */
        fprintf(fichtm,"<br>\n- P<sub>ij</sub> or conditional probabilities to be observed in state j being in state i, %d (stepm) months before: <a href=\"%s_%d-2.svg\">%s_%d-2.svg</a><br> \
   <img src=\"%s_%d-2.svg\">",stepm,subdirf2(optionfilefiname,"PE_"),jj1,subdirf2(optionfilefiname,"PE_"),jj1,subdirf2(optionfilefiname,"PE_"),jj1);     
        /* Quasi-incidences */
        fprintf(fichtm,"<br>\n- I<sub>ij</sub> 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, \
    incidence (rates) are the limit when h tends to zero of the ratio of the probability  <sub>h</sub>P<sub>ij</sub> \
   divided by h: <sub>h</sub>P<sub>ij</sub>/h : <a href=\"%s_%d-3.svg\">%s_%d-3.svg</a><br> \
   <img src=\"%s_%d-3.svg\">",stepm,subdirf2(optionfilefiname,"PE_"),jj1,subdirf2(optionfilefiname,"PE_"),jj1,subdirf2(optionfilefiname,"PE_"),jj1); 
        /* Survival functions (period) in state j */
        for(cpt=1; cpt<=nlstate;cpt++){
          fprintf(fichtm,"<br>\n- Survival functions in state %d. Or probability to survive in state %d being in state (1 to %d) at different ages. <a href=\"%s%d_%d.svg\">%s%d_%d.svg</a><br> \
   <img src=\"%s_%d-%d.svg\">", cpt, cpt, nlstate, subdirf2(optionfilefiname,"LIJ_"),cpt,jj1,subdirf2(optionfilefiname,"LIJ_"),cpt,jj1,subdirf2(optionfilefiname,"LIJ_"),cpt,jj1);
        }
        /* State specific survival functions (period) */
        for(cpt=1; cpt<=nlstate;cpt++){
          fprintf(fichtm,"<br>\n- Survival functions from state %d in each live state and total.\
    Or probability to survive in various states (1 to %d) being in state %d at different ages.     \
    <a href=\"%s%d_%d.svg\">%s%d_%d.svg</a><br> <img src=\"%s_%d-%d.svg\">", cpt, nlstate, cpt, subdirf2(optionfilefiname,"LIJT_"),cpt,jj1,subdirf2(optionfilefiname,"LIJT_"),cpt,jj1,subdirf2(optionfilefiname,"LIJT_"),cpt,jj1);
        }
        /* Period (stable) prevalence in each health state */
        for(cpt=1; cpt<=nlstate;cpt++){
          fprintf(fichtm,"<br>\n- 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.svg\">%s_%d-%d.svg</a><br> \
   <img src=\"%s_%d-%d.svg\">", cpt, cpt, nlstate, subdirf2(optionfilefiname,"P_"),cpt,jj1,subdirf2(optionfilefiname,"P_"),cpt,jj1,subdirf2(optionfilefiname,"P_"),cpt,jj1);
        }
        if(backcast==1){
          /* Period (stable) back prevalence in each health state */
          for(cpt=1; cpt<=nlstate;cpt++){
            fprintf(fichtm,"<br>\n- Convergence to period (stable) back 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.svg\">%s_%d-%d.svg</a><br> \
   <img src=\"%s_%d-%d.svg\">", cpt, cpt, nlstate, subdirf2(optionfilefiname,"PB_"),cpt,jj1,subdirf2(optionfilefiname,"PB_"),cpt,jj1,subdirf2(optionfilefiname,"PB_"),cpt,jj1);
          }
        }
        if(prevfcast==1){
          /* Projection of prevalence up to period (stable) prevalence in each health state */
          for(cpt=1; cpt<=nlstate;cpt++){
            fprintf(fichtm,"<br>\n- Projection of cross-sectional prevalence (estimated with cases observed from %.1f to %.1f) up 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.svg\">%s%d_%d.svg</a><br> \
   <img src=\"%s_%d-%d.svg\">", dateprev1, dateprev2, cpt, cpt, nlstate, subdirf2(optionfilefiname,"PROJ_"),cpt,jj1,subdirf2(optionfilefiname,"PROJ_"),cpt,jj1,subdirf2(optionfilefiname,"PROJ_"),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) (or area under each survival functions): <a href=\"%s_%d%d.svg\">%s_%d%d.svg</a> <br> \
   <img src=\"%s_%d%d.svg\">",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> \
    - 95%% confidence intervals and Wald tests of the estimated parameters are in the log file if optimization has been done (mle != 0).<br> \
   But because parameters are usually highly correlated (a higher incidence of disability \
   and a higher incidence of recovery can give very close observed transition) it might \
   be very useful to look not only at linear confidence intervals estimated from the \
   variances but at the covariance matrix. And instead of looking at the estimated coefficients \
   (parameters) of the logistic regression, it might be more meaningful to visualize the \
   covariance matrix of the one-step probabilities. \
   See page 'Matrix of variance-covariance of one-step probabilities' below. \n", rfileres,rfileres);
   
      fprintf(fichtm," - Standard deviation of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
              subdirf2(fileresu,"PROB_"),subdirf2(fileresu,"PROB_"));
      fprintf(fichtm,"\
    - Variance-covariance of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
              subdirf2(fileresu,"PROBCOV_"),subdirf2(fileresu,"PROBCOV_"));
   
      fprintf(fichtm,"\
    - Correlation matrix of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
              subdirf2(fileresu,"PROBCOR_"),subdirf2(fileresu,"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(fileresu,"CVE_"),subdirf2(fileresu,"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(fileresu,"STDE_"),subdirf2(fileresu,"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(fileresu,"V_"),subdirf2(fileresu,"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(fileresu,"T_"),subdirf2(fileresu,"T_"));
      fprintf(fichtm,"\
    - Standard deviation of period (stable) prevalences: <a href=\"%s\">%s</a> <br>\n",\
              subdirf2(fileresu,"VPL_"),subdirf2(fileresu,"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++)  /**< cptcoveff number of variables */
            fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]);
          fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");
   
          if(invalidvarcomb[k1]){
            fprintf(fichtm,"\n<h4>Combination (%d) ignored because no cases </h4>\n",k1); 
            continue;
          }
        }
        for(cpt=1; cpt<=nlstate;cpt++) {
          fprintf(fichtm,"\n<br>- Observed (cross-sectional) and period (incidence based) \
   prevalence (with 95%% confidence interval) in state (%d): <a href=\"%s_%d-%d.svg\"> %s_%d-%d.svg</a>\n <br>\
   <img src=\"%s_%d-%d.svg\">",cpt,subdirf2(optionfilefiname,"V_"),cpt,jj1,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:  <a href=\"%s_%d.svg\">%s_%d.svg</a>\n<br>\
   <img src=\"%s_%d.svg\">",subdirf2(optionfilefiname,"E_"),jj1,subdirf2(optionfilefiname,"E_"),jj1,subdirf2(optionfilefiname,"E_"),jj1);
        /* } /\* end i1 *\/ */
      }/* End k1 */
      fprintf(fichtm,"</ul>");
      fflush(fichtm);
   }
   
   /******************* Gnuplot file **************/
   void printinggnuplot(char fileresu[], char optionfilefiname[], double ageminpar, double agemaxpar, double fage , int prevfcast, int backcast, char pathc[], double p[]){
   
     char dirfileres[132],optfileres[132];
     char gplotcondition[132];
     int cpt=0,k1=0,i=0,k=0,j=0,jk=0,k2=0,k3=0,ij=0,l=0;
     int lv=0, vlv=0, kl=0;
     int ng=0;
     int vpopbased;
     int ioffset; /* variable offset for columns */
   
   /*   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);
   
     /* Contribution to likelihood */
     /* Plot the probability implied in the likelihood */
     fprintf(ficgp,"\n# Contributions to the Likelihood, mle >=1. For mle=4 no interpolation, pure matrix products.\n#\n");
     fprintf(ficgp,"\n set log y; unset log x;set xlabel \"Age\"; set ylabel \"Likelihood (-2Log(L))\";");
     /* fprintf(ficgp,"\nset ter svg size 640, 480"); */ /* Too big for svg */
     fprintf(ficgp,"\nset ter pngcairo size 640, 480");
   /* nice for mle=4 plot by number of matrix products.
      replot  "rrtest1/toto.txt" u 2:($4 == 1 && $5==2 ? $9 : 1/0):5 t "p12" with point lc 1 */
   /* replot exp(p1+p2*x)/(1+exp(p1+p2*x)+exp(p3+p4*x)+exp(p5+p6*x)) t "p12(x)"  */
     /* fprintf(ficgp,"\nset out \"%s.svg\";",subdirf2(optionfilefiname,"ILK_")); */
     fprintf(ficgp,"\nset out \"%s-dest.png\";",subdirf2(optionfilefiname,"ILK_"));
     fprintf(ficgp,"\nset log y;plot  \"%s\" u 2:(-$13):6 t \"All sample, transitions colored by destination\" with dots lc variable; set out;\n",subdirf(fileresilk));
     fprintf(ficgp,"\nset out \"%s-ori.png\";",subdirf2(optionfilefiname,"ILK_"));
     fprintf(ficgp,"\nset log y;plot  \"%s\" u 2:(-$13):5 t \"All sample, transitions colored by origin\" with dots lc variable; set out;\n\n",subdirf(fileresilk));
     for (i=1; i<= nlstate ; i ++) {
       fprintf(ficgp,"\nset out \"%s-p%dj.png\";set ylabel \"Probability for each individual/wave\";",subdirf2(optionfilefiname,"ILK_"),i);
       fprintf(ficgp,"unset log;\n# plot weighted, mean weight should have point size of 0.5\n plot  \"%s\"",subdirf(fileresilk));
       fprintf(ficgp,"  u  2:($5 == %d && $6==%d ? $10 : 1/0):($12/4.):6 t \"p%d%d\" with points pointtype 7 ps variable lc variable \\\n",i,1,i,1);
       for (j=2; j<= nlstate+ndeath ; j ++) {
         fprintf(ficgp,",\\\n \"\" u  2:($5 == %d && $6==%d ? $10 : 1/0):($12/4.):6 t \"p%d%d\" with points pointtype 7 ps variable lc variable ",i,j,i,j);
       }
       fprintf(ficgp,";\nset out; unset ylabel;\n"); 
     }
     /* unset log; plot  "rrtest1_sorted_4/ILK_rrtest1_sorted_4.txt" u  2:($4 == 1 && $5==2 ? $9 : 1/0):5 t "p12" with points lc variable */                
     /* fprintf(ficgp,"\nset log y;plot  \"%s\" u 2:(-$11):3 t \"All sample, all transitions\" with dots lc variable",subdirf(fileresilk)); */
     /* fprintf(ficgp,"\nreplot  \"%s\" u 2:($3 <= 3 ? -$11 : 1/0):3 t \"First 3 individuals\" with line lc variable", subdirf(fileresilk)); */
     fprintf(ficgp,"\nset out;unset log\n");
     /* fprintf(ficgp,"\nset out \"%s.svg\"; replot; set out; # bug gnuplot",subdirf2(optionfilefiname,"ILK_")); */
   
     strcpy(dirfileres,optionfilefiname);
     strcpy(optfileres,"vpl");
     /* 1eme*/
     for (cpt=1; cpt<= nlstate ; cpt ++) { /* For each live state */
       for (k1=1; k1<= m ; k1 ++) { /* For each valid combination of covariate */
         /* plot [100000000000000000000:-100000000000000000000] "mysbiaspar/vplrmysbiaspar.txt to check */
         fprintf(ficgp,"\n# 1st: Period (stable) prevalence with CI: 'VPL_' files ");
         for (k=1; k<=cptcoveff; k++){    /* For each covariate k get corresponding value lv for combination k1 */
           lv= decodtabm(k1,k,cptcoveff); /* Should be the value of the covariate corresponding to k1 combination */
           /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
           /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
           /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
           vlv= nbcode[Tvaraff[k]][lv]; /* vlv is the value of the covariate lv, 0 or 1 */
           /* For each combination of covariate k1 (V1=1, V3=0), we printed the current covariate k and its value vlv */
           fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
         }
         fprintf(ficgp,"\n#\n");
         if(invalidvarcomb[k1]){
           fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
           continue;
         }
   
         fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" \n",subdirf2(optionfilefiname,"V_"),cpt,k1);
         fprintf(ficgp,"\n#set out \"V_%s_%d-%d.svg\" \n",optionfilefiname,cpt,k1);
         fprintf(ficgp,"set xlabel \"Age\" \n\
   set ylabel \"Probability\" \n   \
   set ter svg size 640, 480\n     \
   plot [%.f:%.f] \"%s\" every :::%d::%d u 1:2 \"%%lf",ageminpar,fage,subdirf2(fileresu,"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(fileresu,"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*$3) \"%%lf",subdirf2(fileresu,"VPL_"),k1-1,k1-1); 
         for (i=1; i<= nlstate ; i ++) {
           if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
           else fprintf(ficgp," %%*lf (%%*lf)");
         }  
         fprintf(ficgp,"\" t\"\" w l lt 1,\"%s\" every :::%d::%d u 1:($%d) t\"Observed prevalence\" w l lt 2",subdirf2(fileresu,"P_"),k1-1,k1-1,2+4*(cpt-1));
         if(backcast==1){ /* We need to get the corresponding values of the covariates involved in this combination k1 */
           /* fprintf(ficgp,",\"%s\" every :::%d::%d u 1:($%d) t\"Backward stable prevalence\" w l lt 3",subdirf2(fileresu,"PLB_"),k1-1,k1-1,1+cpt); */
           fprintf(ficgp,",\"%s\" u 1:((",subdirf2(fileresu,"PLB_")); /* Age is in 1 */
           if(cptcoveff ==0){
             fprintf(ficgp,"$%d)) t 'Backward prevalence in state %d' with line ",  2+(cpt-1),  cpt );
           }else{
             kl=0;
             for (k=1; k<=cptcoveff; k++){    /* For each combination of covariate  */
               lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to k1 combination and kth covariate */
               /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
               /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
               /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
               vlv= nbcode[Tvaraff[k]][lv];
               kl++;
               /* kl=6+(cpt-1)*(nlstate+1)+1+(i-1); /\* 6+(1-1)*(2+1)+1+(1-1)=7, 6+(2-1)(2+1)+1+(1-1)=10 *\/ */
               /*6+(cpt-1)*(nlstate+1)+1+(i-1)+(nlstate+1)*nlstate; 6+(1-1)*(2+1)+1+(1-1) +(2+1)*2=13 */ 
               /*6+1+(i-1)+(nlstate+1)*nlstate; 6+1+(1-1) +(2+1)*2=13 */ 
               /* ''  u 6:(($1==1 && $2==0 && $3==2 && $4==0)? $9/(1.-$15) : 1/0):($5==2000? 3:2) t 'p.1' with line lc variable*/
               if(k==cptcoveff){
                 fprintf(ficgp,"$%d==%d && $%d==%d)? $%d : 1/0) t 'Backward prevalence in state %d' ",kl+1, Tvaraff[k],kl+1+1,nbcode[Tvaraff[k]][lv], \
                         4+(cpt-1),  cpt );  /* 4 or 6 ?*/
               }else{
                 fprintf(ficgp,"$%d==%d && $%d==%d && ",kl+1, Tvaraff[k],kl+1+1,nbcode[Tvaraff[k]][lv]);
                 kl++;
               }
             } /* end covariate */
           } /* end if no covariate */
         } /* end if backcast */
         fprintf(ficgp,"\nset out \n");
       } /* k1 */
     } /* cpt */
     /*2 eme*/
     for (k1=1; k1<= m ; k1 ++) { 
   
       fprintf(ficgp,"\n# 2nd: Total life expectancy with CI: 't' files ");
       for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
         lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
         /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
         /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
         /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
         vlv= nbcode[Tvaraff[k]][lv];
         fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
       }
       fprintf(ficgp,"\n#\n");
       if(invalidvarcomb[k1]){
         fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
         continue;
       }
                           
       fprintf(ficgp,"\nset out \"%s_%d.svg\" \n",subdirf2(optionfilefiname,"E_"),k1);
       for(vpopbased=0; vpopbased <= popbased; vpopbased++){ /* Done for vpopbased=0 and vpopbased=1 if popbased==1*/
         if(vpopbased==0)
           fprintf(ficgp,"set ylabel \"Years\" \nset ter svg size 640, 480\nplot [%.f:%.f] ",ageminpar,fage);
         else
           fprintf(ficgp,"\nreplot ");
         for (i=1; i<= nlstate+1 ; i ++) {
           k=2*i;
           fprintf(ficgp,"\"%s\" every :::%d::%d u 1:($2==%d && $4!=0 ?$4 : 1/0) \"%%lf %%lf %%lf",subdirf2(fileresu,"T_"),k1-1,k1-1, vpopbased);
           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 lt %d, \\\n",i);
           else fprintf(ficgp,"\" t\"LE in state (%d)\" w l lt %d, \\\n",i-1,i+1);
           fprintf(ficgp,"\"%s\" every :::%d::%d u 1:($2==%d && $4!=0 ? $4-$5*2 : 1/0) \"%%lf %%lf %%lf",subdirf2(fileresu,"T_"),k1-1,k1-1,vpopbased);
           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==%d && $4!=0 ? $4+$5*2 : 1/0) \"%%lf %%lf %%lf",subdirf2(fileresu,"T_"),k1-1,k1-1,vpopbased);
           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,\\\n");
         } /* state */
       } /* vpopbased */
       fprintf(ficgp,"\nset out;set out \"%s_%d.svg\"; replot; set out; \n",subdirf2(optionfilefiname,"E_"),k1); /* Buggy gnuplot */
     } /* k1 */
           
           
     /*3eme*/
     for (k1=1; k1<= m ; k1 ++) { 
   
       for (cpt=1; cpt<= nlstate ; cpt ++) {
         fprintf(ficgp,"\n# 3d: Life expectancy with EXP_ files:  cov=%d state=%d",k1, cpt);
         for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
           lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
           /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
           /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
           /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
           vlv= nbcode[Tvaraff[k]][lv];
           fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
         }
         fprintf(ficgp,"\n#\n");
         if(invalidvarcomb[k1]){
           fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
           continue;
         }
                           
         /*       k=2+nlstate*(2*cpt-2); */
         k=2+(nlstate+1)*(cpt-1);
         fprintf(ficgp,"\nset out \"%s_%d%d.svg\" \n",subdirf2(optionfilefiname,"EXP_"),cpt,k1);
         fprintf(ficgp,"set ter svg size 640, 480\n\
   plot [%.f:%.f] \"%s\" every :::%d::%d u 1:%d t \"e%d1\" w l",ageminpar,fage,subdirf2(fileresu,"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(fileresu,"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(fileresu,"E_"),k1-1,k1-1,k+nlstate,cpt);
       }
     }
     
     /* 4eme */
     /* Survival functions (period) from state i in state j by initial state i */
     for (k1=1; k1<= m ; k1 ++) { /* For each multivariate if any */
   
       for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state */
         fprintf(ficgp,"\n#\n#\n# Survival functions in state j : 'LIJ_' files, cov=%d state=%d",k1, cpt);
         for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
           lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
           /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
           /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
           /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
           vlv= nbcode[Tvaraff[k]][lv];
           fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
         }
         fprintf(ficgp,"\n#\n");
         if(invalidvarcomb[k1]){
           fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
           continue;
         }
                           
         fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" \n",subdirf2(optionfilefiname,"LIJ_"),cpt,k1);
         fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability to be alive\" \n\
   set ter svg size 640, 480\n                                                                                                                                                                                     \
   unset log y\n                                                                                                                                                                                                                                           \
   plot [%.f:%.f]  ", ageminpar, agemaxpar);
         k=3;
         for (i=1; i<= nlstate ; i ++){
           if(i==1){
             fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJ_"));
           }else{
             fprintf(ficgp,", '' ");
           }
           l=(nlstate+ndeath)*(i-1)+1;
           fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l);
           for (j=2; j<= nlstate+ndeath ; j ++)
             fprintf(ficgp,"+$%d",k+l+j-1);
           fprintf(ficgp,")) t \"l(%d,%d)\" w l",i,cpt);
         } /* nlstate */
         fprintf(ficgp,"\nset out\n");
       } /* end cpt state*/ 
     } /* end covariate */  
           
   /* 5eme */
     /* Survival functions (period) from state i in state j by final state j */
     for (k1=1; k1<= m ; k1 ++) { /* For each covariate if any */
       for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each inital state  */
                           
         fprintf(ficgp,"\n#\n#\n# Survival functions in state j and all livestates from state i by final state j: 'lij' files, cov=%d state=%d",k1, cpt);
         for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
           lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
           /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
           /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
           /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
           vlv= nbcode[Tvaraff[k]][lv];
           fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
         }
         fprintf(ficgp,"\n#\n");
         if(invalidvarcomb[k1]){
           fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
           continue;
         }
         
         fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" \n",subdirf2(optionfilefiname,"LIJT_"),cpt,k1);
         fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability to be alive\" \n\
   set ter svg size 640, 480\n                                             \
   unset log y\n                                                           \
   plot [%.f:%.f]  ", ageminpar, agemaxpar);
         k=3;
         for (j=1; j<= nlstate ; j ++){ /* Lived in state j */
           if(j==1)
             fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJ_"));
           else
             fprintf(ficgp,", '' ");
           l=(nlstate+ndeath)*(cpt-1) +j;
           fprintf(ficgp," u (($1==%d && (floor($2)%%5 == 0)) ? ($3):1/0):($%d",k1,k+l);
           /* for (i=2; i<= nlstate+ndeath ; i ++) */
           /*   fprintf(ficgp,"+$%d",k+l+i-1); */
           fprintf(ficgp,") t \"l(%d,%d)\" w l",cpt,j);
         } /* nlstate */
         fprintf(ficgp,", '' ");
         fprintf(ficgp," u (($1==%d && (floor($2)%%5 == 0)) ? ($3):1/0):(",k1);
         for (j=1; j<= nlstate ; j ++){ /* Lived in state j */
           l=(nlstate+ndeath)*(cpt-1) +j;
           if(j < nlstate)
             fprintf(ficgp,"$%d +",k+l);
           else
             fprintf(ficgp,"$%d) t\"l(%d,.)\" w l",k+l,cpt);
         }
         fprintf(ficgp,"\nset out\n");
       } /* end cpt state*/ 
     } /* end covariate */  
     
   /* 6eme */
     /* CV preval stable (period) for each covariate */
     for (k1=1; k1<= m ; k1 ++) { /* For each covariate combination (1 to m=2**k), if any covariate is present */
       for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state */
         
         fprintf(ficgp,"\n#\n#\n#CV preval stable (period): 'pij' files, covariatecombination#=%d state=%d",k1, cpt);
         for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
           lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
           /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
           /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
           /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
           vlv= nbcode[Tvaraff[k]][lv];
           fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
         }
         fprintf(ficgp,"\n#\n");
         if(invalidvarcomb[k1]){
           fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
           continue;
         }
         
         fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" \n",subdirf2(optionfilefiname,"P_"),cpt,k1);
         fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \n\
   set ter svg size 640, 480\n                                             \
   unset log y\n                                                           \
   plot [%.f:%.f]  ", ageminpar, agemaxpar);
         k=3; /* Offset */
         for (i=1; i<= nlstate ; i ++){
           if(i==1)
             fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJ_"));
           else
             fprintf(ficgp,", '' ");
           l=(nlstate+ndeath)*(i-1)+1;
           fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l);
           for (j=2; j<= nlstate ; j ++)
             fprintf(ficgp,"+$%d",k+l+j-1);
           fprintf(ficgp,")) t \"prev(%d,%d)\" w l",i,cpt);
         } /* nlstate */
         fprintf(ficgp,"\nset out\n");
       } /* end cpt state*/ 
     } /* end covariate */  
     
     
   /* 7eme */
     if(backcast == 1){
       /* CV back preval stable (period) for each covariate */
       for (k1=1; k1<= m ; k1 ++) { /* For each covariate combination (1 to m=2**k), if any covariate is present */
         for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state */
           fprintf(ficgp,"\n#\n#\n#CV Back preval stable (period): 'pij' files, covariatecombination#=%d state=%d",k1, cpt);
           for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
             lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
             /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
             /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
             /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
             vlv= nbcode[Tvaraff[k]][lv];
             fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
           }
           fprintf(ficgp,"\n#\n");
           if(invalidvarcomb[k1]){
             fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
             continue;
           }
           
           fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" \n",subdirf2(optionfilefiname,"PB_"),cpt,k1);
           fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \n\
   set ter svg size 640, 480\n                                             \
   unset log y\n                                                           \
   plot [%.f:%.f]  ", ageminpar, agemaxpar);
           k=3; /* Offset */
           for (i=1; i<= nlstate ; i ++){
             if(i==1)
               fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJB_"));
             else
               fprintf(ficgp,", '' ");
             /* l=(nlstate+ndeath)*(i-1)+1; */
             l=(nlstate+ndeath)*(cpt-1)+1;
             /* fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l); /\* a vérifier *\/ */
             /* fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l+(cpt-1)+i-1); /\* a vérifier *\/ */
             fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d",k1,k+l+(cpt-1)+i-1); /* a vérifier */
             /* for (j=2; j<= nlstate ; j ++) */
             /*    fprintf(ficgp,"+$%d",k+l+j-1); */
             /*    /\* fprintf(ficgp,"+$%d",k+l+j-1); *\/ */
             fprintf(ficgp,") t \"bprev(%d,%d)\" w l",i,cpt);
           } /* nlstate */
           fprintf(ficgp,"\nset out\n");
         } /* end cpt state*/ 
       } /* end covariate */  
     } /* End if backcast */
     
     /* 8eme */
     if(prevfcast==1){
       /* Projection from cross-sectional to stable (period) for each covariate */
       
       for (k1=1; k1<= m ; k1 ++) { /* For each covariate combination (1 to m=2**k), if any covariate is present */
         for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state */
           fprintf(ficgp,"\n#\n#\n#Projection of prevalence to stable (period): 'PROJ_' files, covariatecombination#=%d state=%d",k1, cpt);
           for (k=1; k<=cptcoveff; k++){    /* For each correspondig covariate value  */
             lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to k1 combination and kth covariate */
             /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
             /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
             /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
             vlv= nbcode[Tvaraff[k]][lv];
             fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
           }
           fprintf(ficgp,"\n#\n");
           if(invalidvarcomb[k1]){
             fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
             continue;
           }
           
           fprintf(ficgp,"# hpijx=probability over h years, hp.jx is weighted by observed prev\n ");
           fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" \n",subdirf2(optionfilefiname,"PROJ_"),cpt,k1);
           fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Prevalence\" \n\
   set ter svg size 640, 480\n                                             \
   unset log y\n                                                           \
   plot [%.f:%.f]  ", ageminpar, agemaxpar);
           for (i=1; i<= nlstate+1 ; i ++){  /* nlstate +1 p11 p21 p.1 */
             /*#  V1  = 1  V2 =  0 yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
             /*#   1    2   3    4    5      6  7   8   9   10   11 12  13   14  15 */   
             /*# yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
             /*#   1       2   3    4    5      6  7   8   9   10   11 12  13   14  15 */   
             if(i==1){
               fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"F_"));
             }else{
               fprintf(ficgp,",\\\n '' ");
             }
             if(cptcoveff ==0){ /* No covariate */
               ioffset=2; /* Age is in 2 */
               /*# yearproj age p11 p21 p31 p.1 p12 p22 p32 p.2 p13 p23 p33 p.3 p14 p24 p34 p.4*/
               /*#   1       2   3   4   5  6    7  8   9   10  11  12  13  14  15  16  17  18 */
               /*# V1  = 1 yearproj age p11 p21 p31 p.1 p12 p22 p32 p.2 p13 p23 p33 p.3 p14 p24 p34 p.4*/
               /*#  1    2        3   4   5  6    7  8   9   10  11  12  13  14  15  16  17  18 */
               fprintf(ficgp," u %d:(", ioffset); 
               if(i==nlstate+1)
                 fprintf(ficgp," $%d/(1.-$%d)) t 'pw.%d' with line ",      \
                         ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate,cpt );
               else
                 fprintf(ficgp," $%d/(1.-$%d)) t 'p%d%d' with line ",      \
                         ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate,i,cpt );
             }else{ /* more than 2 covariates */
               if(cptcoveff ==1){
                 ioffset=4; /* Age is in 4 */
               }else{
                 ioffset=6; /* Age is in 6 */
                 /*#  V1  = 1  V2 =  0 yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
                 /*#   1    2   3    4    5      6  7   8   9   10   11 12  13   14  15 */
               }   
               fprintf(ficgp," u %d:(",ioffset); 
               kl=0;
               strcpy(gplotcondition,"(");
               for (k=1; k<=cptcoveff; k++){    /* For each covariate writing the chain of conditions */
                 lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to combination k1 and covariate k */
                 /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                 /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                 /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                 vlv= nbcode[Tvaraff[k]][lv]; /* Value of the modality of Tvaraff[k] */
                 kl++;
                 sprintf(gplotcondition+strlen(gplotcondition),"$%d==%d && $%d==%d " ,kl,Tvaraff[k], kl+1, nbcode[Tvaraff[k]][lv]);
                 kl++;
                 if(k <cptcoveff && cptcoveff>1)
                   sprintf(gplotcondition+strlen(gplotcondition)," && ");
               }
               strcpy(gplotcondition+strlen(gplotcondition),")");
               /* kl=6+(cpt-1)*(nlstate+1)+1+(i-1); /\* 6+(1-1)*(2+1)+1+(1-1)=7, 6+(2-1)(2+1)+1+(1-1)=10 *\/ */
               /*6+(cpt-1)*(nlstate+1)+1+(i-1)+(nlstate+1)*nlstate; 6+(1-1)*(2+1)+1+(1-1) +(2+1)*2=13 */ 
               /*6+1+(i-1)+(nlstate+1)*nlstate; 6+1+(1-1) +(2+1)*2=13 */ 
               /* ''  u 6:(($1==1 && $2==0 && $3==2 && $4==0)? $9/(1.-$15) : 1/0):($5==2000? 3:2) t 'p.1' with line lc variable*/
               if(i==nlstate+1){
                 fprintf(ficgp,"%s ? $%d/(1.-$%d) : 1/0) t 'p.%d' with line ", gplotcondition, \
                         ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate,cpt );
               }else{
                 fprintf(ficgp,"%s ? $%d/(1.-$%d) : 1/0) t 'p%d%d' with line ", gplotcondition, \
                         ioffset+(cpt-1)*(nlstate+1)+1+(i-1), ioffset +1+(i-1)+(nlstate+1)*nlstate,i,cpt );
               }
             } /* end if covariate */
           } /* nlstate */
           fprintf(ficgp,"\nset out\n");
         } /* end cpt state*/
       } /* end covariate */
     } /* End if prevfcast */
     
     
     /* proba elementaires */
     fprintf(ficgp,"\n##############\n#MLE estimated parameters\n#############\n");
     for(i=1,jk=1; i <=nlstate; i++){
       fprintf(ficgp,"# initial state %d\n",i);
       for(k=1; k <=(nlstate+ndeath); k++){
         if (k != i) {
           fprintf(ficgp,"#   current state %d\n",k);
           for(j=1; j <=ncovmodel; j++){
             fprintf(ficgp,"p%d=%f; ",jk,p[jk]);
             jk++; 
           }
           fprintf(ficgp,"\n");
         }
       }
     }
     fprintf(ficgp,"##############\n#\n");
     
     /*goto avoid;*/
     fprintf(ficgp,"\n##############\n#Graphics of probabilities or incidences\n#############\n");
     fprintf(ficgp,"# logi(p12/p11)=a12+b12*age+c12age*age+d12*V1+e12*V1*age\n");
     fprintf(ficgp,"# logi(p12/p11)=p1 +p2*age +p3*age*age+ p4*V1+ p5*V1*age\n");
     fprintf(ficgp,"# logi(p13/p11)=a13+b13*age+c13age*age+d13*V1+e13*V1*age\n");
     fprintf(ficgp,"# logi(p13/p11)=p6 +p7*age +p8*age*age+ p9*V1+ p10*V1*age\n");
     fprintf(ficgp,"# p12+p13+p14+p11=1=p11(1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
     fprintf(ficgp,"#                      +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age)+...)\n");
     fprintf(ficgp,"# p11=1/(1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
     fprintf(ficgp,"#                      +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age)+...)\n");
     fprintf(ficgp,"# p12=exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)/\n");
     fprintf(ficgp,"#     (1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
     fprintf(ficgp,"#       +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age))\n");
     fprintf(ficgp,"#       +exp(a14+b14*age+c14age*age+d14*V1+e14*V1*age)+...)\n");
     fprintf(ficgp,"#\n");
     for(ng=1; ng<=3;ng++){ /* Number of graphics: first is logit, 2nd is probabilities, third is incidences per year*/
       fprintf(ficgp,"# ng=%d\n",ng);
       fprintf(ficgp,"#   jk=1 to 2^%d=%d\n",cptcoveff,m);
       for(jk=1; jk <=m; jk++) {
         fprintf(ficgp,"#    jk=%d\n",jk);
         fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" ",subdirf2(optionfilefiname,"PE_"),jk,ng);
         fprintf(ficgp,"\nset ter svg size 640, 480 ");
         if (ng==1){
           fprintf(ficgp,"\nset ylabel \"Value of the logit of the model\"\n"); /* exp(a12+b12*x) could be nice */
           fprintf(ficgp,"\nunset log y");
         }else if (ng==2){
           fprintf(ficgp,"\nset ylabel \"Probability\"\n");
           fprintf(ficgp,"\nset log y");
         }else if (ng==3){
           fprintf(ficgp,"\nset ylabel \"Quasi-incidence per year\"\n");
           fprintf(ficgp,"\nset log y");
         }else
           fprintf(ficgp,"\nunset title ");
         fprintf(ficgp,"\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){
               switch( ng) {
               case 1:
                 if(nagesqr==0)
                   fprintf(ficgp," p%d+p%d*x",i,i+1);
                 else /* nagesqr =1 */
                   fprintf(ficgp," p%d+p%d*x+p%d*x*x",i,i+1,i+1+nagesqr);
                 break;
               case 2: /* ng=2 */
                 if(nagesqr==0)
                   fprintf(ficgp," exp(p%d+p%d*x",i,i+1);
                 else /* nagesqr =1 */
                   fprintf(ficgp," exp(p%d+p%d*x+p%d*x*x",i,i+1,i+1+nagesqr);
                 break;
               case 3:
                 if(nagesqr==0)
                   fprintf(ficgp," %f*exp(p%d+p%d*x",YEARM/stepm,i,i+1);
                 else /* nagesqr =1 */
                   fprintf(ficgp," %f*exp(p%d+p%d*x+p%d*x*x",YEARM/stepm,i,i+1,i+1+nagesqr);
                 break;
               }
               ij=1;/* To be checked else nbcode[0][0] wrong */
               for(j=3; j <=ncovmodel-nagesqr; j++) {
                 /* printf("Tage[%d]=%d, j=%d\n", ij, Tage[ij], j); */
                 if(ij <=cptcovage) { /* Bug valgrind */
                   if((j-2)==Tage[ij]) { /* Bug valgrind */
                     fprintf(ficgp,"+p%d*%d*x",i+j+nagesqr-1,nbcode[Tvar[j-2]][codtabm(jk,j-2)]);
                     /* fprintf(ficgp,"+p%d*%d*x",i+j+nagesqr-1,nbcode[Tvar[j-2]][codtabm(jk,Tvar[j-2])]); */
                     ij++;
                   }
                 }
                 else
                   fprintf(ficgp,"+p%d*%d",i+j+nagesqr-1,nbcode[Tvar[j-2]][codtabm(jk,j-2)]); /* Valgrind bug nbcode */
               }
             }else{
               i=i-ncovmodel;
               if(ng !=1 ) /* For logit formula of log p11 is more difficult to get */
                 fprintf(ficgp," (1.");
             }
             
             if(ng != 1){
               fprintf(ficgp,")/(1");
               
               for(k1=1; k1 <=nlstate; k1++){ 
                 if(nagesqr==0)
                   fprintf(ficgp,"+exp(p%d+p%d*x",k3+(k1-1)*ncovmodel,k3+(k1-1)*ncovmodel+1);
                 else /* nagesqr =1 */
                   fprintf(ficgp,"+exp(p%d+p%d*x+p%d*x*x",k3+(k1-1)*ncovmodel,k3+(k1-1)*ncovmodel+1,k3+(k1-1)*ncovmodel+1+nagesqr);
                  
                 ij=1;
                 for(j=3; j <=ncovmodel-nagesqr; j++){
                   if(ij <=cptcovage) { /* Bug valgrind */
                     if((j-2)==Tage[ij]) { /* Bug valgrind */
                       fprintf(ficgp,"+p%d*%d*x",k3+(k1-1)*ncovmodel+1+j-2+nagesqr,nbcode[Tvar[j-2]][codtabm(jk,j-2)]);
                       /* fprintf(ficgp,"+p%d*%d*x",k3+(k1-1)*ncovmodel+1+j-2+nagesqr,nbcode[Tvar[j-2]][codtabm(jk,Tvar[j-2])]); */
                       ij++;
                     }
                   }
                   else
                     fprintf(ficgp,"+p%d*%d",k3+(k1-1)*ncovmodel+1+j-2+nagesqr,nbcode[Tvar[j-2]][codtabm(jk,j-2)]);/* Valgrind bug nbcode */
                 }
                 fprintf(ficgp,")");
               }
               fprintf(ficgp,")");
               if(ng ==2)
                 fprintf(ficgp," t \"p%d%d\" ", k2,k);
               else /* ng= 3 */
                 fprintf(ficgp," t \"i%d%d\" ", k2,k);
             }else{ /* end ng <> 1 */
               if( k !=k2) /* logit p11 is hard to draw */
                 fprintf(ficgp," t \"logit(p%d%d)\" ", k2,k);
             }
             if ((k+k2)!= (nlstate*2+ndeath) && ng != 1)
               fprintf(ficgp,",");
             if (ng == 1 && k!=k2 && (k+k2)!= (nlstate*2+ndeath))
               fprintf(ficgp,",");
             i=i+ncovmodel;
           } /* end k */
         } /* end k2 */
         fprintf(ficgp,"\n set out\n");
       } /* end jk */
     } /* end ng */
     /* avoid: */
     fflush(ficgp); 
   }  /* end gnuplot */
   
   
   /*************** Moving average **************/
   /* int movingaverage(double ***probs, double bage, double fage, double ***mobaverage, int mobilav, double bageout, double fageout){ */
    int movingaverage(double ***probs, double bage, double fage, double ***mobaverage, int mobilav){
      
      int i, cpt, cptcod;
      int modcovmax =1;
      int mobilavrange, mob;
      int iage=0;
   
      double sum=0.;
      double age;
      double *sumnewp, *sumnewm;
      double *agemingood, *agemaxgood; /* Currently identical for all covariates */
     
     
      /* modcovmax=2*cptcoveff;/\* Max number of modalities. We suppose  */
      /*              a covariate has 2 modalities, should be equal to ncovcombmax  *\/ */
   
      sumnewp = vector(1,ncovcombmax);
      sumnewm = vector(1,ncovcombmax);
      agemingood = vector(1,ncovcombmax);  
      agemaxgood = vector(1,ncovcombmax);
   
      for (cptcod=1;cptcod<=ncovcombmax;cptcod++){
        sumnewm[cptcod]=0.;
        sumnewp[cptcod]=0.;
        agemingood[cptcod]=0;
        agemaxgood[cptcod]=0;
      }
      if (cptcovn<1) ncovcombmax=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<=ncovcombmax;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<=ncovcombmax;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;
      for (cptcod=1;cptcod<=ncovcombmax;cptcod++){
        /* for (age=bage+(mob-1)/2; age<=fage-(mob-1)/2; age++){ */
        if(invalidvarcomb[cptcod]){
          printf("\nCombination (%d) ignored because no cases \n",cptcod); 
          continue;
        }
   
        agemingood[cptcod]=fage-(mob-1)/2;
        for (age=fage-(mob-1)/2; age>=bage; age--){/* From oldest to youngest, finding the youngest wrong */
          sumnewm[cptcod]=0.;
          for (i=1; i<=nlstate;i++){
            sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
          }
          if(fabs(sumnewm[cptcod] - 1.) <= 1.e-3) { /* good */
            agemingood[cptcod]=age;
          }else{ /* bad */
            for (i=1; i<=nlstate;i++){
              mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemingood[cptcod]][i][cptcod];
            } /* i */
          } /* end bad */
        }/* age */
        sum=0.;
        for (i=1; i<=nlstate;i++){
          sum+=mobaverage[(int)agemingood[cptcod]][i][cptcod];
        }
        if(fabs(sum - 1.) > 1.e-3) { /* bad */
          printf("For this combination of covariate cptcod=%d, we can't get a smoothed prevalence which sums to one at any descending age!\n",cptcod);
          /* for (i=1; i<=nlstate;i++){ */
          /*   mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemingood[cptcod]][i][cptcod]; */
          /* } /\* i *\/ */
        } /* end bad */
        /* else{ /\* We found some ages summing to one, we will smooth the oldest *\/ */
        /* From youngest, finding the oldest wrong */
        agemaxgood[cptcod]=bage+(mob-1)/2;
        for (age=bage+(mob-1)/2; age<=fage; age++){
          sumnewm[cptcod]=0.;
          for (i=1; i<=nlstate;i++){
            sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
          }
          if(fabs(sumnewm[cptcod] - 1.) <= 1.e-3) { /* good */
            agemaxgood[cptcod]=age;
          }else{ /* bad */
            for (i=1; i<=nlstate;i++){
              mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemaxgood[cptcod]][i][cptcod];
            } /* i */
          } /* end bad */
        }/* age */
        sum=0.;
        for (i=1; i<=nlstate;i++){
          sum+=mobaverage[(int)agemaxgood[cptcod]][i][cptcod];
        }
        if(fabs(sum - 1.) > 1.e-3) { /* bad */
          printf("For this combination of covariate cptcod=%d, we can't get a smoothed prevalence which sums to one at any ascending age!\n",cptcod);
          /* for (i=1; i<=nlstate;i++){ */
          /*   mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemingood[cptcod]][i][cptcod]; */
          /* } /\* i *\/ */
        } /* end bad */
                   
        for (age=bage; age<=fage; age++){
          printf("%d %d ", cptcod, (int)age);
          sumnewp[cptcod]=0.;
          sumnewm[cptcod]=0.;
          for (i=1; i<=nlstate;i++){
            sumnewp[cptcod]+=probs[(int)age][i][cptcod];
            sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
            /* printf("%.4f %.4f ",probs[(int)age][i][cptcod], mobaverage[(int)age][i][cptcod]); */
          }
          /* printf("%.4f %.4f \n",sumnewp[cptcod], sumnewm[cptcod]); */
        }
        /* printf("\n"); */
        /* } */
        /* brutal averaging */
        for (i=1; i<=nlstate;i++){
          for (age=1; age<=bage; age++){
            mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemingood[cptcod]][i][cptcod];
            /* printf("age=%d i=%d cptcod=%d mobaverage=%.4f \n",(int)age,i, cptcod, mobaverage[(int)age][i][cptcod]); */
          }        
          for (age=fage; age<=AGESUP; age++){
            mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemaxgood[cptcod]][i][cptcod];
            /* printf("age=%d i=%d cptcod=%d mobaverage=%.4f \n",(int)age,i, cptcod, mobaverage[(int)age][i][cptcod]); */
          }
        } /* end i status */
        for (i=nlstate+1; i<=nlstate+ndeath;i++){
          for (age=1; age<=AGESUP; age++){
            /*printf("i=%d, age=%d, cptcod=%d\n",i, (int)age, cptcod);*/
            mobaverage[(int)age][i][cptcod]=0.;
          }
        }
      }/* end cptcod */
      free_vector(sumnewm,1, ncovcombmax);
      free_vector(sumnewp,1, ncovcombmax);
      free_vector(agemaxgood,1, ncovcombmax);
      free_vector(agemingood,1, ncovcombmax);
      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;
     /* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people
        in each health status at the date of interview (if between dateprev1 and dateprev2).
        We still use firstpass and lastpass as another selection.
     */
     /* freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint,strstart,\ */
     /*          firstpass, lastpass,  stepm,  weightopt, model); */
    
     strcpy(fileresf,"F_"); 
     strcat(fileresf,fileresu);
     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', please wait... \n", fileresf);
     fprintf(ficlog,"Computing forecasting: result on file '%s', please wait... \n", fileresf);
   
     if (cptcoveff==0) ncodemax[cptcoveff]=1;
   
   
     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=pow(2,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(k=1;k<=i1;k++){
       if(invalidvarcomb[k]){
         printf("\nCombination (%d) projection ignored because no cases \n",k); 
         continue;
       }
       fprintf(ficresf,"\n#****** hpijx=probability over h years, hp.jx is weighted by observed prev \n#");
       for(j=1;j<=cptcoveff;j++) {
         fprintf(ficresf," V%d (=) %d",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
       }
       fprintf(ficresf," yearproj age");
       for(j=1; j<=nlstate+ndeath;j++){ 
         for(i=1; i<=nlstate;i++)        
           fprintf(ficresf," p%d%d",i,j);
         fprintf(ficresf," wp.%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]][codtabm(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][k];
                 else {
                   ppij=ppij+p3mat[i][j][h]*probs[(int)(agec)][i][k];
                 }
                 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  k */
           
     fclose(ficresf);
     printf("End of Computing forecasting \n");
     fprintf(ficlog,"End of Computing forecasting\n");
   
   }
   
   /* /\************** Back Forecasting ******************\/ */
   /* void prevbackforecast(char fileres[], double anback1, double mback1, double jback1, double ageminpar, double agemax, double dateprev1, double dateprev2, int mobilav, double bage, double fage, int firstpass, int lastpass, double anback2, double p[], int cptcoveff){ */
   /*   /\* back1, year, month, day of starting backection  */
   /*      agemin, agemax range of age */
   /*      dateprev1 dateprev2 range of dates during which prevalence is computed */
   /*      anback2 year of en of backection (same day and month as back1). */
   /*   *\/ */
   /*   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 fileresfb[FILENAMELENGTH]; */
           
   /*   agelim=AGESUP; */
   /*   /\* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people */
   /*      in each health status at the date of interview (if between dateprev1 and dateprev2). */
   /*      We still use firstpass and lastpass as another selection. */
   /*   *\/ */
   /*   /\* freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint,strstart,\ *\/ */
   /*   /\*              firstpass, lastpass,  stepm,  weightopt, model); *\/ */
   /*   prevalence(probs, ageminpar, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass); */
           
   /*   strcpy(fileresfb,"FB_");  */
   /*   strcat(fileresfb,fileresu); */
   /*   if((ficresfb=fopen(fileresfb,"w"))==NULL) { */
   /*     printf("Problem with back forecast resultfile: %s\n", fileresfb); */
   /*     fprintf(ficlog,"Problem with back forecast resultfile: %s\n", fileresfb); */
   /*   } */
   /*   printf("Computing back forecasting: result on file '%s', please wait... \n", fileresfb); */
   /*   fprintf(ficlog,"Computing back forecasting: result on file '%s', please wait... \n", fileresfb); */
           
   /*   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(ficresfb,"# Mean day of interviews %.lf/%.lf/%.lf (%.2f) between %.2f and %.2f \n",jprojmean,mprojmean,anprojmean,dateintmean,dateprev1,dateprev2);  */
     
   /*   fprintf(ficresfb,"#****** Routine prevbackforecast **\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(ficresfb,"\n#****** hbijx=probability over h years, hp.jx is weighted by observed prev \n#"); */
   /*       for(j=1;j<=cptcoveff;j++) { */
   /*                              fprintf(ficresfb," V%d (=) %d",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]); */
   /*       } */
   /*       fprintf(ficresfb," yearbproj age"); */
   /*       for(j=1; j<=nlstate+ndeath;j++){  */
   /*                              for(i=1; i<=nlstate;i++)               */
   /*           fprintf(ficresfb," p%d%d",i,j); */
   /*                              fprintf(ficresfb," p.%d",j); */
   /*       } */
   /*       for (yearp=0; yearp>=(anback2-anback1);yearp -=stepsize) {  */
   /*                              /\* for (yearp=0; yearp<=(anproj2-anproj1);yearp +=stepsize) {  *\/ */
   /*                              fprintf(ficresfb,"\n"); */
   /*                              fprintf(ficresfb,"\n# Back Forecasting at date %.lf/%.lf/%.lf ",jback1,mback1,anback1+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; */
   /*                                      hbxij(p3mat,nhstepm,agec,hstepm,p,prevacurrent,nlstate,stepm,oldm,savm,oldm,savm, dnewm, doldm, dsavm, k);       */
   /*                                      for (h=0; h<=nhstepm; h++){ */
   /*                                              if (h*hstepm/YEARM*stepm ==yearp) { */
   /*               fprintf(ficresfb,"\n"); */
   /*               for(j=1;j<=cptcoveff;j++)  */
   /*                 fprintf(ficresfb,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]); */
   /*                                                      fprintf(ficresfb,"%.f %.f ",anback1+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(ficresfb," %.3f", p3mat[i][j][h]); */
   /*                                                              } */
   /*                                                      } /\* end i *\/ */
   /*                                                      if (h*hstepm/YEARM*stepm==yearp) { */
   /*                                                              fprintf(ficresfb," %.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(ficresfb); */
   /*   printf("End of Computing Back forecasting \n"); */
   /*   fprintf(ficlog,"End of Computing Back forecasting\n"); */
           
   /* } */
   
   /************** Forecasting *****not tested NB*************/
   /* void populforecast(char fileres[], double anpyram,double mpyram,double jpyram,double ageminpar, double agemax,double dateprev1, double dateprev2s, 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,fileresu); */
   /*   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]][codtabm(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=1;i<=imx ; 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 fileresu[], 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.svg\">");
     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 fileresu[], 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.svg\"\n "); 
     fprintf(ficgp,"set xlabel \"Age\"\n set ylabel \"Force of mortality (per year)\" \n "); 
     fprintf(ficgp, "set ter svg size 640, 480\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, iv=0;
     int lstra;
     int linei, month, year,iout;
     char line[MAXLINE], linetmp[MAXLINE];
     char stra[MAXLINE], strb[MAXLINE];
     char *stratrunc;
   
   
   
     if((fic=fopen(datafile,"r"))==NULL)    {
       printf("Problem while opening datafile: %s with errno='%s'\n", datafile,strerror(errno));fflush(stdout);
       fprintf(ficlog,"Problem while opening datafile: %s with errno='%s'\n", datafile,strerror(errno));fflush(ficlog);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);
       
       /* Loops on waves */
       for (j=maxwav;j>=1;j--){
         for (iv=nqtv;iv>=1;iv--){  /* Loop  on time varying quantitative variables */
           cutv(stra, strb, line, ' '); 
           if(strb[0]=='.') { /* Missing value */
             lval=-1;
             cotqvar[j][iv][i]=-1; /* 0.0/0.0 */
             if(isalpha(strb[1])) { /* .m or .d Really Missing value */
               printf("Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be the %d th quantitative value out of %d measured at wave %d. If missing, you should remove this individual or impute a value.  Exiting.\n", strb, linei,i,line,iv, nqtv, j);
               fprintf(ficlog,"Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be the %d th quantitative value out of %d measured at wave %d. If missing, you should remove this individual or impute a value.  Exiting.\n", strb, linei,i,line,iv, nqtv, j);fflush(ficlog);
               return 1;
             }
           }else{
             errno=0;
             /* what_kind_of_number(strb); */
             dval=strtod(strb,&endptr); 
             /* if( strb[0]=='\0' || (*endptr != '\0')){ */
             /* if(strb != endptr && *endptr == '\0') */
             /*    dval=dlval; */
             /* 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 the %d th quantitative value out of %d measured at wave %d. Setting maxwav=%d might be wrong.  Exiting.\n", strb, linei,i,line,iv, nqtv, j,maxwav);
               fprintf(ficlog,"Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be the %d th quantitative value out of %d measured at wave %d. Setting maxwav=%d might be wrong.  Exiting.\n", strb, linei,i,line, iv, nqtv, j,maxwav);fflush(ficlog);
               return 1;
             }
             cotqvar[j][iv][i]=dval; 
           }
           strcpy(line,stra);
         }/* end loop ntqv */
         
         for (iv=ntv;iv>=1;iv--){  /* Loop  on time varying dummies */
           cutv(stra, strb, line, ' '); 
           if(strb[0]=='.') { /* Missing value */
             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 the %d th dummy covariate out of %d measured at wave %d. Setting maxwav=%d might be wrong.  Exiting.\n", strb, linei,i,line,iv, ntv, j,maxwav);
               fprintf(ficlog,"Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be the %d dummy covariate out of %d measured wave %d. Setting maxwav=%d might be wrong.  Exiting.\n", strb, linei,i,line,iv, ntv,j,maxwav);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;
           }
           cotvar[j][iv][i]=(double)(lval);
           strcpy(line,stra);
         }/* end loop ntv */
         
         /* Statuses  at wave */
         cutv(stra, strb, line, ' '); 
         if(strb[0]=='.') { /* Missing value */
           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;
         
         /* Date of Interview */
         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 loop on waves */
       
       /* Date of death */
       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);
       
       /* Date of birth */
       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);
       
       /* Sample weight */
       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 (iv=nqv;iv>=1;iv--){  /* Loop  on fixed quantitative variables */
         cutv(stra, strb, line, ' '); 
         if(strb[0]=='.') { /* Missing value */
           lval=-1;
         }else{
           errno=0;
           /* what_kind_of_number(strb); */
           dval=strtod(strb,&endptr);
           /* if(strb != endptr && *endptr == '\0') */
           /*   dval=dlval; */
           /* 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 the %d th quantitative value (out of %d) constant for all waves. Setting maxwav=%d might be wrong.  Exiting.\n", strb, linei,i,line, iv, nqv, maxwav);
             fprintf(ficlog,"Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be the %d th quantitative value (out of %d) constant for all waves. Setting maxwav=%d might be wrong.  Exiting.\n", strb, linei,i,line, iv, nqv, maxwav);fflush(ficlog);
             return 1;
           }
           coqvar[iv][i]=dval; 
           covar[ncovcol+iv][i]=dval; /* including qvar in standard covar for performance reasons */ 
         }
         strcpy(line,stra);
       }/* end loop nqv */
       
       /* Covariate values */
       for (j=ncovcol;j>=1;j--){
         cutv(stra, strb,line,' '); 
         if(strb[0]=='.') { /* Missing covariate value */
           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+age*age
           * - nagesqr = 1 if age*age in the model, otherwise 0.
           * - cptcovt total number of covariates of the model nbocc(+)+1 = 8 excepting constant and age and age*age
           * - cptcovn or number of covariates k of the models excluding age*products =6 and age*age
           * - 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, k3, k4;
     char modelsav[80];
     char stra[80], strb[80], strc[80], strd[80],stre[80];
     char *strpt;
   
     /*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;
       if (strstr(model,"AGE") !=0){
         printf("Error. AGE must be in lower case 'age' model=1+age+%s. ",model);
         fprintf(ficlog,"Error. AGE must be in lower case model=1+age+%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;
       }
       strcpy(modelsav,model); 
       if ((strpt=strstr(model,"age*age")) !=0){
         printf(" strpt=%s, model=%s\n",strpt, model);
         if(strpt != model){
           printf("Error in model: 'model=%s'; 'age*age' should in first place before other covariates\n \
    'model=1+age+age*age+V1.' or 'model=1+age+age*age+V1+V1*age.', please swap as well as \n \
    corresponding column of parameters.\n",model);
           fprintf(ficlog,"Error in model: 'model=%s'; 'age*age' should in first place before other covariates\n \
    'model=1+age+age*age+V1.' or 'model=1+age+age*age+V1+V1*age.', please swap as well as \n \
    corresponding column of parameters.\n",model); fflush(ficlog);
           return 1;
         }
         nagesqr=1;
         if (strstr(model,"+age*age") !=0)
           substrchaine(modelsav, model, "+age*age");
         else if (strstr(model,"age*age+") !=0)
           substrchaine(modelsav, model, "age*age+");
         else 
           substrchaine(modelsav, model, "age*age");
       }else
         nagesqr=0;
       if (strlen(modelsav) >1){
         j=nbocc(modelsav,'+'); /**< j=Number of '+' */
         j1=nbocc(modelsav,'*'); /**< j1=Number of '*' */
         cptcovs=j+1-j1; /**<  Number of simple covariates V1+V1*age+V3 +V3*V4+age*age=> V1 + V3 =5-3=2  */
         cptcovt= j+1; /* Number of total covariates in the model, not including
                        * cst, age and age*age 
                        * V1+V1*age+ V3 + V3*V4+age*age=> 3+1=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  */
         
         
         /*   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]= (V1), covar[4][i]=(V4), covar[8][i]=(V8)
          *  Tvar[k] # of the kth covariate:  Tvar[1]=2  Tvar[2]=1 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]][codtabm(ij,Tvar[k])]; */
         /*        } */
         /* for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,Tvar[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 not including constant and age, neither age*age*/
           Tvar[k]=0; Tprod[k]=0; Tposprod[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; V1+V1*age Tvar[2]=1 */
               Typevar[k]=1;  /* 1 for age product */
               cptcovage++; /* Sums the number of covariates which include age as a product */
               Tage[cptcovage]=k;  /* Tvar[4]=3, Tage[1] = 4 or V1+V1*age Tvar[2]=1, Tage[1]=2 */
               /*printf("stre=%s ", stre);*/
             } else if (strcmp(strd,"age")==0) { /* or age*Vn */
               cptcovprod--;
               cutl(stre,strb,strc,'V');
               Tvar[k]=atoi(stre);
               Typevar[k]=1;  /* 1 for age product */
               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+nqv+ntv+nqtv+k1; /* For model-covariate k tells which data-covariate to use but
                                      because this model-covariate is a construction we invent a new column
                                      which is after existing variables ncovcol+nqv+ntv+nqtv + 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 */
               Typevar[k]=2;  /* 2 for double fixed dummy covariates */
               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  */
               Tposprod[k]=k1; /* Tpsprod[3]=1, Tposprod[2]=5 */
               Tvard[k1][1] =atoi(strc); /* m 1 for V1*/
               Tvard[k1][2] =atoi(stre); /* n 4 for V4*/
               k2=k2+2;  /* k2 is initialize to -1, We want to store the n and m in Vn*Vm at the end of Tvar */
               /* 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) *\/ */
               /*ncovcol=4 and model=V2+V1+V1*V4+age*V3+V3*V2, Tvar[3]=5, Tvar[4]=6, cptcovt=5 */
               /*                     1  2   3      4     5 | Tvar[5+1)=1, Tvar[7]=2   */
               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 dummy or quantitative, fixe or varying */
             cptcovn++; /** V4+V3+V5: V4 and V3 timevarying dummy covariates, V5 timevarying quantitative */
             Tvar[k]=atoi(strd);
             Typevar[k]=0;  /* 0 for simple covariates */
           }
           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 + on total covariates */
       } /* end if strlen(modelsave == 0) age*age might exist */
     } /* end if strlen(model == 0) */
     
     /*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);*/
   
   
   /* Decodemodel knows only the grammar (simple, product, age*) of the model but not what kind
      of variable (dummy vs quantitative, fixed vs time varying) is behind */
   /* ncovcol= 1, nqv=1 | ntv=2, nqtv= 1  = 5 possible variables data: 2 fixed 3, varying
      model=        V5 + V4 +V3 + V4*V3 + V5*age + V2 + V1*V2 + V1*age + V5*age, V1 is not used saving its place
      k =           1    2   3     4       5       6      7      8        9
      Tvar[k]=      5    4   3 1+1+2+1+1=6 5       2      7      1        5
      Typevar[k]=   0    0   0     2       1       0      2      1        1
      Fixed[k]      1    1   1     1       3       0    0 or 2   2        3
      Dummy[k]      1    0   0     0       3       1      1      2        3
             Tmodelind[combination of covar]=k;
   */  
   /* Dispatching between quantitative and time varying covariates */
     /* If Tvar[k] >ncovcol it is a product */
     /* Tvar[k] is the value n of Vn with n varying for 1 to nvcol, or p  Vp=Vn*Vm for product */
           /* Computing effective variables, ie used by the model, that is from the cptcovt variables */
     printf("Model=%s\n\
   Typevar: 0 for simple covariate (dummy, quantitative, fixed or varying), 1 for age product, 2 for  product \n\
   Fixed[k] 0=fixed (product or simple), 1 varying, 2 fixed with age product, 3 varying with age product \n\
   Dummy[k] 0=dummy (0 1), 1 quantitative (single or product without age), 2 dummy with age product, 3 quant with age product\n",model);
     fprintf(ficlog,"Model=%s\n\
   Typevar: 0 for simple covariate (dummy, quantitative, fixed or varying), 1 for age product, 2 for  product \n\
   Fixed[k] 0=fixed (product or simple), 1 varying, 2 fixed with age product, 3 varying with age product \n\
   Dummy[k] 0=dummy (0 1), 1 quantitative (single or product without age), 2 dummy with age product, 3 quant with age product\n",model);
   
     for(k=1, ncoveff=0, nqfveff=0, ntveff=0, nqtveff=0;k<=cptcovt; k++){ /* or cptocvt */
       if (Tvar[k] <=ncovcol && (Typevar[k]==0 || Typevar[k]==2)){ /* Simple or product fixed dummy covariatee */
         Fixed[k]= 0;
         Dummy[k]= 0;
         ncoveff++;
       }else if( Tvar[k] <=ncovcol+nqv && Typevar[k]==0){ /* Remind that product Vn*Vm are added in k*/
         Fixed[k]= 0;
         Dummy[k]= 1;
         nqfveff++;  /* Only simple fixed quantitative variable */
       }else if( Tvar[k] <=ncovcol+nqv+ntv && Typevar[k]==0){
         Fixed[k]= 1;
         Dummy[k]= 0;
         ntveff++; /* Only simple time varying dummy variable */
         printf("Quasi Tmodelind[%d]=%d,Tvar[Tmodelind[%d]]=V%d, ncovcol=%d, nqv=%d,Tvar[k]- ncovcol-nqv=%d\n",ntveff,k,ntveff,Tvar[k], ncovcol, nqv,Tvar[k]- ncovcol-nqv);
         printf("Quasi TmodelInvind[%d]=%d\n",k,Tvar[k]- ncovcol-nqv);
       }else if( Tvar[k] <=ncovcol+nqv+ntv+nqtv  && Typevar[k]==0){
           Fixed[k]= 1;
           Dummy[k]= 1;
           TmodelInvQind[++nqtveff]=Tvar[k]- ncovcol-nqv-ntv;/* Only simple time varying quantitative variable */
           /* Tmodeliqind[k]=nqtveff;/\* Only simple time varying quantitative variable *\/ */
           printf("Quasi TmodelQind[%d]=%d,Tvar[TmodelQind[%d]]=V%d, ncovcol=%d, nqv=%d, ntv=%d,Tvar[k]- ncovcol-nqv-ntv=%d\n",nqtveff,k,nqtveff,Tvar[k], ncovcol, nqv, ntv, Tvar[k]- ncovcol-nqv-ntv);
         printf("Quasi TmodelInvQind[%d]=%d\n",k,Tvar[k]- ncovcol-nqv-ntv);
       }else if (Typevar[k] == 1) {  /* product with age */
         if (Tvar[k] <=ncovcol ){ /* Simple or product fixed dummy covariatee */
           Fixed[k]= 2;
           Dummy[k]= 2;
           /* ncoveff++; */
         }else if( Tvar[k] <=ncovcol+nqv) { /* Remind that product Vn*Vm are added in k*/
           Fixed[k]= 2;
           Dummy[k]= 3;
           /* nqfveff++;  /\* Only simple fixed quantitative variable *\/ */
         }else if( Tvar[k] <=ncovcol+nqv+ntv ){
           Fixed[k]= 3;
           Dummy[k]= 2;
           /* ntveff++; /\* Only simple time varying dummy variable *\/ */
         }else if( Tvar[k] <=ncovcol+nqv+ntv+nqtv){
           Fixed[k]= 3;
           Dummy[k]= 3;
           /* nqtveff++;/\* Only simple time varying quantitative variable *\/ */
         }
       }else if (Typevar[k] == 2) {  /* product without age */
         k1=Tposprod[k];
         if(Tvard[k1][1] <=ncovcol){
           if(Tvard[k1][2] <=ncovcol){
             Fixed[k]= 1;
             Dummy[k]= 0;
           }else if(Tvard[k1][2] <=ncovcol+nqv){
             Fixed[k]= 0;  /* or 2 ?*/
             Dummy[k]= 1;
           }else if(Tvard[k1][2] <=ncovcol+nqv+ntv){
             Fixed[k]= 1;
             Dummy[k]= 0;
           }else if(Tvard[k1][2] <=ncovcol+nqv+ntv+nqtv){
             Fixed[k]= 1;
             Dummy[k]= 1;
           } 
         }else if(Tvard[k1][1] <=ncovcol+nqv){
           if(Tvard[k1][2] <=ncovcol){
             Fixed[k]= 0;  /* or 2 ?*/
             Dummy[k]= 1;
           }else if(Tvard[k1][2] <=ncovcol+nqv){
             Fixed[k]= 0; /* or 2 ?*/
             Dummy[k]= 1;
           }else if(Tvard[k1][2] <=ncovcol+nqv+ntv){
             Fixed[k]= 1;
             Dummy[k]= 1;
           }else if(Tvard[k1][2] <=ncovcol+nqv+ntv+nqtv){
             Fixed[k]= 1;
             Dummy[k]= 1;
           } 
         }else if(Tvard[k1][1] <=ncovcol+nqv+ntv){
           if(Tvard[k1][2] <=ncovcol){
             Fixed[k]= 1;
             Dummy[k]= 1;
           }else if(Tvard[k1][2] <=ncovcol+nqv){
             Fixed[k]= 1;
             Dummy[k]= 1;
           }else if(Tvard[k1][2] <=ncovcol+nqv+ntv){
             Fixed[k]= 1;
             Dummy[k]= 0;
           }else if(Tvard[k1][2] <=ncovcol+nqv+ntv+nqtv){
             Fixed[k]= 1;
             Dummy[k]= 1;
           } 
         }else if(Tvard[k1][1] <=ncovcol+nqv+ntv+nqtv){
           if(Tvard[k1][2] <=ncovcol){
             Fixed[k]= 1;
             Dummy[k]= 1;
           }else if(Tvard[k1][2] <=ncovcol+nqv){
             Fixed[k]= 1;
             Dummy[k]= 1;
           }else if(Tvard[k1][2] <=ncovcol+nqv+ntv){
             Fixed[k]= 1;
             Dummy[k]= 1;
           }else if(Tvard[k1][2] <=ncovcol+nqv+ntv+nqtv){
             Fixed[k]= 1;
             Dummy[k]= 1;
           } 
         }else{
           printf("Error unknown type of covariate: Tvard[%d][1]=%d,Tvard[%d][2]=%d\n",k1,Tvard[k1][1],k1,Tvard[k1][2]);
           fprintf(ficlog,"Error unknown type of covariate: Tvard[%d][1]=%d,Tvard[%d][2]=%d\n",k1,Tvard[k1][1],k1,Tvard[k1][2]);
         } /* end k1 */
       }else{
         printf("Error, current version can't treat for performance reasons, Tvar[%d]=%d, Typevar[%d]=%d\n", k, Tvar[k], k, Typevar[k]);
         fprintf(ficlog,"Error, current version can't treat for performance reasons, Tvar[%d]=%d, Typevar[%d]=%d\n", k, Tvar[k], k, Typevar[k]);
       }
       printf("Decodemodel, k=%d, Tvar[%d]=V%d,Typevar=%d, Fixed=%d, Dummy=%d\n",k, k,Tvar[k],Typevar[k],Fixed[k],Dummy[k]);
       fprintf(ficlog,"Decodemodel, k=%d, Tvar[%d]=V%d,Typevar=%d, Fixed=%d, Dummy=%d\n",k, k,Tvar[k],Typevar[k],Fixed[k],Dummy[k]);
     }
     /* Searching for doublons in the model */
     for(k1=1; k1<= cptcovt;k1++){
       for(k2=1; k2 <k1;k2++){
         if((Typevar[k1]==Typevar[k2]) && (Fixed[Tvar[k1]]==Fixed[Tvar[k2]]) && (Dummy[Tvar[k1]]==Dummy[Tvar[k2]] )){
           if((Typevar[k1] == 0 || Typevar[k1] == 1)){ /* Simple or age product */
             if(Tvar[k1]==Tvar[k2]){
               printf("Error duplication in the model=%s at positions (+) %d and %d, Tvar[%d]=V%d, Tvar[%d]=V%d, Typevar=%d, Fixed=%d, Dummy=%d\n", model, k1,k2, k1, Tvar[k1], k2, Tvar[k2],Typevar[k1],Fixed[Tvar[k1]],Dummy[Tvar[k1]]);
               fprintf(ficlog,"Error duplication in the model=%s at positions (+) %d and %d, Tvar[%d]=V%d, Tvar[%d]=V%d, Typevar=%d, Fixed=%d, Dummy=%d\n", model, k1,k2, k1, Tvar[k1], k2, Tvar[k2],Typevar[k1],Fixed[Tvar[k1]],Dummy[Tvar[k1]]); fflush(ficlog);
               return(1);
             }
           }else if (Typevar[k1] ==2){
             k3=Tposprod[k1];
             k4=Tposprod[k2];
             if( ((Tvard[k3][1]== Tvard[k4][1])&&(Tvard[k3][2]== Tvard[k4][2])) || ((Tvard[k3][1]== Tvard[k4][2])&&(Tvard[k3][2]== Tvard[k4][1])) ){
               printf("Error duplication in the model=%s at positions (+) %d and %d, V%d*V%d, Typevar=%d, Fixed=%d, Dummy=%d\n",model, k1,k2, Tvard[k3][1], Tvard[k3][2],Typevar[k1],Fixed[Tvar[k1]],Dummy[Tvar[k1]]);
               fprintf(ficlog,"Error duplication in the model=%s at positions (+) %d and %d, V%d*V%d, Typevar=%d, Fixed=%d, Dummy=%d\n",model, k1,k2, Tvard[k3][1], Tvard[k3][2],Typevar[k1],Fixed[Tvar[k1]],Dummy[Tvar[k1]]); fflush(ficlog);
               return(1);
             }
           }
         }
       }
     }
     printf("ncoveff=%d, nqfveff=%d, ntveff=%d, nqtveff=%d, cptcovn=%d\n",ncoveff,nqfveff,ntveff,nqtveff,cptcovn);
     fprintf(ficlog,"ncoveff=%d, nqfveff=%d, ntveff=%d, nqtveff=%d, cptcovn=%d\n",ncoveff,nqfveff,ntveff,nqtveff,cptcovn);
     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;
     int firstone=0;
     
     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;
           if (s[m][i] != -2) /* Keeping initial status of unknown vital status */
             s[m][i]=-1;
         }
         if((int)moisdc[i]==99 && (int)andc[i]==9999 && s[m][i]>nlstate){
           *nberr = *nberr + 1;
           if(firstone == 0){
             firstone=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 can be biased (%d) because status is a death state %d at wave %d. Wave dropped.\nOther similar cases in log file\n",(int)moisdc[i],(int)andc[i],num[i],i, *nberr,s[m][i],m);
           }
           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 can be biased (%d) because status is a death state %d at wave %d. Wave dropped.\n",(int)moisdc[i],(int)andc[i],num[i],i, *nberr,s[m][i],m);
           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]==-1 || s[m][i]==-2 || s[m][i]==-4 || s[m][i]==-5){ /* What if s[m][i]=-1 */
           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 */
           } /* end if */
           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;*/
           } /* en if 9*/
           else { /* =9 */
             /* printf("Debug num[%d]=%ld s[%d][%d]=%d\n",i,num[i], m,i, s[m][i]); */
             agev[m][i]=1;
             s[m][i]=-1;
           }
         }
         else if(s[m][i]==0) /*= 0 Unknown */
           agev[m][i]=1;
         else{
           printf("Warning, num[%d]=%ld, s[%d][%d]=%d\n", i, num[i], m, i,s[m][i]); 
           fprintf(ficlog, "Warning, num[%d]=%ld, s[%d][%d]=%d\n", i, num[i], m, i,s[m][i]); 
           agev[m][i]=0;
         }
       } /* End for lastpass */
     }
       
     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(int logged)
    {
      /* #include "syscompilerinfo.h"*/
      /* command line Intel compiler 32bit windows, XP compatible:*/
      /* /GS /W3 /Gy
         /Zc:wchar_t /Zi /O2 /Fd"Release\vc120.pdb" /D "WIN32" /D "NDEBUG" /D
         "_CONSOLE" /D "_LIB" /D "_USING_V110_SDK71_" /D "_UNICODE" /D
         "UNICODE" /Qipo /Zc:forScope /Gd /Oi /MT /Fa"Release\" /EHsc /nologo
         /Fo"Release\" /Qprof-dir "Release\" /Fp"Release\IMaCh.pch"
      */ 
      /* 64 bits */
      /*
        /GS /W3 /Gy
        /Zc:wchar_t /Zi /O2 /Fd"x64\Release\vc120.pdb" /D "WIN32" /D "NDEBUG"
        /D "_CONSOLE" /D "_LIB" /D "_UNICODE" /D "UNICODE" /Qipo /Zc:forScope
        /Oi /MD /Fa"x64\Release\" /EHsc /nologo /Fo"x64\Release\" /Qprof-dir
        "x64\Release\" /Fp"x64\Release\IMaCh.pch" */
      /* Optimization are useless and O3 is slower than O2 */
      /*
        /GS /W3 /Gy /Zc:wchar_t /Zi /O3 /Fd"x64\Release\vc120.pdb" /D "WIN32" 
        /D "NDEBUG" /D "_CONSOLE" /D "_LIB" /D "_UNICODE" /D "UNICODE" /Qipo 
        /Zc:forScope /Oi /MD /Fa"x64\Release\" /EHsc /nologo /Qparallel 
        /Fo"x64\Release\" /Qprof-dir "x64\Release\" /Fp"x64\Release\IMaCh.pch" 
      */
      /* Link is */ /* /OUT:"visual studio
         2013\Projects\IMaCh\Release\IMaCh.exe" /MANIFEST /NXCOMPAT
         /PDB:"visual studio
         2013\Projects\IMaCh\Release\IMaCh.pdb" /DYNAMICBASE
         "kernel32.lib" "user32.lib" "gdi32.lib" "winspool.lib"
         "comdlg32.lib" "advapi32.lib" "shell32.lib" "ole32.lib"
         "oleaut32.lib" "uuid.lib" "odbc32.lib" "odbccp32.lib"
         /MACHINE:X86 /OPT:REF /SAFESEH /INCREMENTAL:NO
         /SUBSYSTEM:CONSOLE",5.01" /MANIFESTUAC:"level='asInvoker'
         uiAccess='false'"
         /ManifestFile:"Release\IMaCh.exe.intermediate.manifest" /OPT:ICF
         /NOLOGO /TLBID:1
      */
   #if defined __INTEL_COMPILER
   #if defined(__GNUC__)
           struct utsname sysInfo;  /* For Intel on Linux and OS/X */
   #endif
   #elif defined(__GNUC__) 
   #ifndef  __APPLE__
   #include <gnu/libc-version.h>  /* Only on gnu */
   #endif
      struct utsname sysInfo;
      int cross = CROSS;
      if (cross){
              printf("Cross-");
              if(logged) fprintf(ficlog, "Cross-");
      }
   #endif
   
   #include <stdint.h>
   
      printf("Compiled with:");if(logged)fprintf(ficlog,"Compiled with:");
   #if defined(__clang__)
      printf(" Clang/LLVM");if(logged)fprintf(ficlog," Clang/LLVM");       /* Clang/LLVM. ---------------------------------------------- */
   #endif
   #if defined(__ICC) || defined(__INTEL_COMPILER)
      printf(" Intel ICC/ICPC");if(logged)fprintf(ficlog," Intel ICC/ICPC");/* Intel ICC/ICPC. ------------------------------------------ */
   #endif
   #if defined(__GNUC__) || defined(__GNUG__)
      printf(" GNU GCC/G++");if(logged)fprintf(ficlog," GNU GCC/G++");/* GNU GCC/G++. --------------------------------------------- */
   #endif
   #if defined(__HP_cc) || defined(__HP_aCC)
      printf(" Hewlett-Packard C/aC++");if(logged)fprintf(fcilog," Hewlett-Packard C/aC++"); /* Hewlett-Packard C/aC++. ---------------------------------- */
   #endif
   #if defined(__IBMC__) || defined(__IBMCPP__)
      printf(" IBM XL C/C++"); if(logged) fprintf(ficlog," IBM XL C/C++");/* IBM XL C/C++. -------------------------------------------- */
   #endif
   #if defined(_MSC_VER)
      printf(" Microsoft Visual Studio");if(logged)fprintf(ficlog," Microsoft Visual Studio");/* Microsoft Visual Studio. --------------------------------- */
   #endif
   #if defined(__PGI)
      printf(" Portland Group PGCC/PGCPP");if(logged) fprintf(ficlog," Portland Group PGCC/PGCPP");/* Portland Group PGCC/PGCPP. ------------------------------- */
   #endif
   #if defined(__SUNPRO_C) || defined(__SUNPRO_CC)
      printf(" Oracle Solaris Studio");if(logged)fprintf(ficlog," Oracle Solaris Studio\n");/* Oracle Solaris Studio. ----------------------------------- */
   #endif
      printf(" for "); if (logged) 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) ");if(logged) fprintf(ficlog,"Windows (x64 and x86) ");
   #elif __unix__ // all unices, not all compilers
       // Unix
      printf("Unix ");if(logged) fprintf(ficlog,"Unix ");
   #elif __linux__
       // linux
      printf("linux ");if(logged) fprintf(ficlog,"linux ");
   #elif __APPLE__
       // Mac OS, not sure if this is covered by __posix__ and/or __unix__ though..
      printf("Mac OS ");if(logged) 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"); if(logged) fprintf(ficlog," 32-bit");/* 32-bit */
   #elif UINTPTR_MAX == 0xffffffffffffffff
      printf(" 64-bit"); if(logged) fprintf(ficlog," 64-bit");/* 64-bit */
   #else
      printf(" wtf-bit"); if(logged) 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__);
      if(logged) 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);
            if(logged) 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 
   #if !defined (__INTEL_COMPILER) && !defined(__APPLE__)
      printf("GNU libc version: %s\n", gnu_get_libc_version()); 
      if(logged) fprintf(ficlog,"GNU libc version: %s\n", gnu_get_libc_version());
   #endif
   #endif
   
      //   void main()
      //   {
   #if defined(_MSC_VER)
      if (IsWow64()){
              printf("\nThe program (probably compiled for 32bit) is running under WOW64 (64bit) emulation.\n");
              if (logged) fprintf(ficlog, "\nThe program (probably compiled for 32bit) is running under WOW64 (64bit) emulation.\n");
      }
      else{
              printf("\nThe program is not running under WOW64 (i.e probably on a 64bit Windows).\n");
              if (logged) fprintf(ficlog, "\nThe programm is not running under WOW64 (i.e probably on a 64bit Windows).\n");
      }
      //      printf("\nPress Enter to continue...");
      //      getchar();
      //   }
   
   #endif
      
   
   }
   
   int prevalence_limit(double *p, double **prlim, double ageminpar, double agemaxpar, double ftolpl, int *ncvyearp){
     /*--------------- Prevalence limit  (period or stable prevalence) --------------*/
     int i, j, k, i1 ;
     /* double ftolpl = 1.e-10; */
     double age, agebase, agelim;
     double tot;
   
     strcpy(filerespl,"PL_");
     strcat(filerespl,fileresu);
     if((ficrespl=fopen(filerespl,"w"))==NULL) {
       printf("Problem with period (stable) prevalence resultfile: %s\n", filerespl);return 1;
       fprintf(ficlog,"Problem with period (stable) prevalence resultfile: %s\n", filerespl);return 1;
     }
     printf("\nComputing period (stable) prevalence: result on file '%s' \n", filerespl);
     fprintf(ficlog,"\nComputing period (stable) prevalence: result on file '%s' \n", filerespl);
     pstamp(ficrespl);
     fprintf(ficrespl,"# Period (stable) prevalence. Precision given by ftolpl=%g \n", ftolpl);
     fprintf(ficrespl,"#Age ");
     for(i=1; i<=nlstate;i++) fprintf(ficrespl,"%d-%d ",i,i);
     fprintf(ficrespl,"\n");
     
     /* prlim=matrix(1,nlstate,1,nlstate);*/ /* back in main */
   
     agebase=ageminpar;
     agelim=agemaxpar;
   
     /* i1=pow(2,ncoveff); */
     i1=pow(2,cptcoveff); /* Number of dummy covariates */
     if (cptcovn < 1){i1=1;}
   
     for(k=1; k<=i1;k++){
     /* for(cptcov=1,k=0;cptcov<=i1;cptcov++){ */
       /* for(cptcov=1,k=0;cptcov<=1;cptcov++){ */
       //for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){
       /* k=k+1; */
       /* to clean */
       //printf("cptcov=%d cptcod=%d codtab=%d\n",cptcov, cptcod,codtabm(cptcod,cptcov));
       fprintf(ficrespl,"#******");
       printf("#******");
       fprintf(ficlog,"#******");
       for(j=1;j<=cptcoveff ;j++) {/* all covariates */
         fprintf(ficrespl," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]); /* Here problem for varying dummy*/
         printf(" V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
         fprintf(ficlog," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
       }
       fprintf(ficrespl,"******\n");
       printf("******\n");
       fprintf(ficlog,"******\n");
       if(invalidvarcomb[k]){
         printf("\nCombination (%d) ignored because no case \n",k); 
         fprintf(ficrespl,"#Combination (%d) ignored because no case \n",k); 
         fprintf(ficlog,"\nCombination (%d) ignored because no case \n",k); 
                                                   continue;
       }
   
       fprintf(ficrespl,"#Age ");
       for(j=1;j<=cptcoveff;j++) {
         fprintf(ficrespl,"V%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
       }
       for(i=1; i<=nlstate;i++) fprintf(ficrespl,"  %d-%d   ",i,i);
       fprintf(ficrespl,"Total Years_to_converge\n");
       
       for (age=agebase; age<=agelim; age++){
         /* for (age=agebase; age<=agebase; age++){ */
         prevalim(prlim, nlstate, p, age, oldm, savm, ftolpl, ncvyearp, k);
         fprintf(ficrespl,"%.0f ",age );
         for(j=1;j<=cptcoveff;j++)
           fprintf(ficrespl,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
         tot=0.;
         for(i=1; i<=nlstate;i++){
           tot +=  prlim[i][i];
           fprintf(ficrespl," %.5f", prlim[i][i]);
         }
         fprintf(ficrespl," %.3f %d\n", tot, *ncvyearp);
       } /* Age */
       /* was end of cptcod */
     } /* cptcov */
     return 0;
   }
   
   int back_prevalence_limit(double *p, double **bprlim, double ageminpar, double agemaxpar, double ftolpl, int *ncvyearp, double dateprev1,double dateprev2, int firstpass, int lastpass, int mobilavproj){
           /*--------------- Back Prevalence limit  (period or stable prevalence) --------------*/
           
           /* Computes the back prevalence limit  for any combination      of covariate values 
      * at any age between ageminpar and agemaxpar
            */
     int i, j, k, i1 ;
     /* double ftolpl = 1.e-10; */
     double age, agebase, agelim;
     double tot;
     /* double ***mobaverage; */
     /* double      **dnewm, **doldm, **dsavm;  /\* for use *\/ */
   
     strcpy(fileresplb,"PLB_");
     strcat(fileresplb,fileresu);
     if((ficresplb=fopen(fileresplb,"w"))==NULL) {
       printf("Problem with period (stable) back prevalence resultfile: %s\n", fileresplb);return 1;
       fprintf(ficlog,"Problem with period (stable) back prevalence resultfile: %s\n", fileresplb);return 1;
     }
     printf("Computing period (stable) back prevalence: result on file '%s' \n", fileresplb);
     fprintf(ficlog,"Computing period (stable) back prevalence: result on file '%s' \n", fileresplb);
     pstamp(ficresplb);
     fprintf(ficresplb,"# Period (stable) back prevalence. Precision given by ftolpl=%g \n", ftolpl);
     fprintf(ficresplb,"#Age ");
     for(i=1; i<=nlstate;i++) fprintf(ficresplb,"%d-%d ",i,i);
     fprintf(ficresplb,"\n");
     
     
     /* prlim=matrix(1,nlstate,1,nlstate);*/ /* back in main */
     
     agebase=ageminpar;
     agelim=agemaxpar;
     
     
     i1=pow(2,cptcoveff);
     if (cptcovn < 1){i1=1;}
     
     for(k=1; k<=i1;k++){ 
       //printf("cptcov=%d cptcod=%d codtab=%d\n",cptcov, cptcod,codtabm(cptcod,cptcov));
       fprintf(ficresplb,"#******");
       printf("#******");
       fprintf(ficlog,"#******");
       for(j=1;j<=cptcoveff ;j++) {/* all covariates */
         fprintf(ficresplb," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
         printf(" V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
         fprintf(ficlog," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
       }
       fprintf(ficresplb,"******\n");
       printf("******\n");
       fprintf(ficlog,"******\n");
       if(invalidvarcomb[k]){
         printf("\nCombination (%d) ignored because no cases \n",k); 
         fprintf(ficresplb,"#Combination (%d) ignored because no cases \n",k); 
         fprintf(ficlog,"\nCombination (%d) ignored because no cases \n",k); 
         continue;
       }
       
       fprintf(ficresplb,"#Age ");
       for(j=1;j<=cptcoveff;j++) {
         fprintf(ficresplb,"V%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
       }
       for(i=1; i<=nlstate;i++) fprintf(ficresplb,"  %d-%d   ",i,i);
       fprintf(ficresplb,"Total Years_to_converge\n");
       
       
       for (age=agebase; age<=agelim; age++){
         /* for (age=agebase; age<=agebase; age++){ */
         if(mobilavproj > 0){
           /* bprevalim(bprlim, mobaverage, nlstate, p, age, ageminpar, agemaxpar, oldm, savm, doldm, dsavm, ftolpl, ncvyearp, k); */
           /* bprevalim(bprlim, mobaverage, nlstate, p, age, oldm, savm, dnewm, doldm, dsavm, ftolpl, ncvyearp, k); */
           bprevalim(bprlim, mobaverage, nlstate, p, age, ftolpl, ncvyearp, k);
         }else if (mobilavproj == 0){
           printf("There is no chance to get back prevalence limit if data aren't non zero and summing to 1, please try a non null mobil_average(=%d) parameter or mobil_average=-1 if you want to try at your own risk.\n",mobilavproj);
           fprintf(ficlog,"There is no chance to get back prevalence limit if data aren't non zero and summing to 1, please try a non null mobil_average(=%d) parameter or mobil_average=-1 if you want to try at your own risk.\n",mobilavproj);
           exit(1);
         }else{
           /* bprevalim(bprlim, probs, nlstate, p, age, oldm, savm, dnewm, doldm, dsavm, ftolpl, ncvyearp, k); */
           bprevalim(bprlim, probs, nlstate, p, age, ftolpl, ncvyearp, k);
         }
         fprintf(ficresplb,"%.0f ",age );
         for(j=1;j<=cptcoveff;j++)
           fprintf(ficresplb,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
         tot=0.;
         for(i=1; i<=nlstate;i++){
           tot +=  bprlim[i][i];
           fprintf(ficresplb," %.5f", bprlim[i][i]);
         }
         fprintf(ficresplb," %.3f %d\n", tot, *ncvyearp);
       } /* Age */
       /* was end of cptcod */
     } /* cptcov */
     
     /* hBijx(p, bage, fage); */
     /* fclose(ficrespijb); */
     
     return 0;
   }
    
   int hPijx(double *p, int bage, int fage){
       /*------------- h Pij x at various ages ------------*/
   
     int stepsize;
     int agelim;
     int hstepm;
     int nhstepm;
     int h, i, i1, j, k;
   
     double agedeb;
     double ***p3mat;
   
       strcpy(filerespij,"PIJ_");  strcat(filerespij,fileresu);
       if((ficrespij=fopen(filerespij,"w"))==NULL) {
         printf("Problem with Pij resultfile: %s\n", filerespij); return 1;
         fprintf(ficlog,"Problem with Pij resultfile: %s\n", filerespij); return 1;
       }
       printf("Computing pij: result on file '%s' \n", filerespij);
       fprintf(ficlog,"Computing pij: result on file '%s' \n", filerespij);
     
       stepsize=(int) (stepm+YEARM-1)/YEARM;
       /*if (stepm<=24) stepsize=2;*/
   
       agelim=AGESUP;
       hstepm=stepsize*YEARM; /* Every year of age */
       hstepm=hstepm/stepm; /* Typically 2 years, = 2/6 months = 4 */ 
                   
       /* hstepm=1;   aff par mois*/
       pstamp(ficrespij);
       fprintf(ficrespij,"#****** h Pij x Probability to be in state j at age x+h being in i at x ");
       i1= pow(2,cptcoveff);
                   /* for(cptcov=1,k=0;cptcov<=i1;cptcov++){ */
                   /*    /\*for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*\/ */
                   /*      k=k+1;  */
       for (k=1; k <= (int) pow(2,cptcoveff); k++){
         fprintf(ficrespij,"\n#****** ");
         for(j=1;j<=cptcoveff;j++) 
           fprintf(ficrespij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
         fprintf(ficrespij,"******\n");
         
         for (agedeb=fage; agedeb>=bage; agedeb--){ /* If stepm=6 months */
           nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
           nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
           
           /*        nhstepm=nhstepm*YEARM; aff par mois*/
           
           p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
           oldm=oldms;savm=savms;
           hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);  
           fprintf(ficrespij,"# Cov Agex agex+h hpijx with i,j=");
           for(i=1; i<=nlstate;i++)
             for(j=1; j<=nlstate+ndeath;j++)
               fprintf(ficrespij," %1d-%1d",i,j);
           fprintf(ficrespij,"\n");
           for (h=0; h<=nhstepm; h++){
             /*agedebphstep = agedeb + h*hstepm/YEARM*stepm;*/
             fprintf(ficrespij,"%d %3.f %3.f",k, agedeb, agedeb + h*hstepm/YEARM*stepm );
             for(i=1; i<=nlstate;i++)
               for(j=1; j<=nlstate+ndeath;j++)
                 fprintf(ficrespij," %.5f", p3mat[i][j][h]);
             fprintf(ficrespij,"\n");
           }
           free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
           fprintf(ficrespij,"\n");
         }
         /*}*/
       }
       return 0;
   }
    
    int hBijx(double *p, int bage, int fage, double ***prevacurrent){
       /*------------- h Bij x at various ages ------------*/
   
     int stepsize;
     /* int agelim; */
           int ageminl;
     int hstepm;
     int nhstepm;
     int h, i, i1, j, k;
           
     double agedeb;
     double ***p3mat;
           
     strcpy(filerespijb,"PIJB_");  strcat(filerespijb,fileresu);
     if((ficrespijb=fopen(filerespijb,"w"))==NULL) {
       printf("Problem with Pij back resultfile: %s\n", filerespijb); return 1;
       fprintf(ficlog,"Problem with Pij back resultfile: %s\n", filerespijb); return 1;
     }
     printf("Computing pij back: result on file '%s' \n", filerespijb);
     fprintf(ficlog,"Computing pij back: result on file '%s' \n", filerespijb);
     
     stepsize=(int) (stepm+YEARM-1)/YEARM;
     /*if (stepm<=24) stepsize=2;*/
     
     /* agelim=AGESUP; */
     ageminl=30;
     hstepm=stepsize*YEARM; /* Every year of age */
     hstepm=hstepm/stepm; /* Typically 2 years, = 2/6 months = 4 */
     
     /* hstepm=1;   aff par mois*/
     pstamp(ficrespijb);
     fprintf(ficrespijb,"#****** h Pij x Back Probability to be in state i at age x-h being in j at x ");
     i1= pow(2,cptcoveff);
     /* for(cptcov=1,k=0;cptcov<=i1;cptcov++){ */
     /*    /\*for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*\/ */
     /*    k=k+1;  */
     for (k=1; k <= (int) pow(2,cptcoveff); k++){
       fprintf(ficrespijb,"\n#****** ");
       for(j=1;j<=cptcoveff;j++)
         fprintf(ficrespijb,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
       fprintf(ficrespijb,"******\n");
       if(invalidvarcomb[k]){
         fprintf(ficrespijb,"\n#Combination (%d) ignored because no cases \n",k); 
         continue;
       }
       
       /* for (agedeb=fage; agedeb>=bage; agedeb--){ /\* If stepm=6 months *\/ */
       for (agedeb=bage; agedeb<=fage; agedeb++){ /* If stepm=6 months and estepm=24 (2 years) */
         /* nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); /\* Typically 20 years = 20*12/6=40 *\/ */
         nhstepm=(int) rint((agedeb-ageminl)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */
         nhstepm = nhstepm/hstepm; /* Typically 40/4=10, because estepm=24 stepm=6 => hstepm=24/6=4 */
         
         /*          nhstepm=nhstepm*YEARM; aff par mois*/
         
         p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
         /* oldm=oldms;savm=savms; */
         /* hbxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);   */
         hbxij(p3mat,nhstepm,agedeb,hstepm,p,prevacurrent,nlstate,stepm, k);
         /* hbxij(p3mat,nhstepm,agedeb,hstepm,p,prevacurrent,nlstate,stepm,oldm,savm, dnewm, doldm, dsavm, k); */
         fprintf(ficrespijb,"# Cov Agex agex-h hpijx with i,j=");
         for(i=1; i<=nlstate;i++)
           for(j=1; j<=nlstate+ndeath;j++)
             fprintf(ficrespijb," %1d-%1d",i,j);
         fprintf(ficrespijb,"\n");
         for (h=0; h<=nhstepm; h++){
           /*agedebphstep = agedeb + h*hstepm/YEARM*stepm;*/
           fprintf(ficrespijb,"%d %3.f %3.f",k, agedeb, agedeb - h*hstepm/YEARM*stepm );
           /* fprintf(ficrespijb,"%d %3.f %3.f",k, agedeb, agedeb + h*hstepm/YEARM*stepm ); */
           for(i=1; i<=nlstate;i++)
             for(j=1; j<=nlstate+ndeath;j++)
               fprintf(ficrespijb," %.5f", p3mat[i][j][h]);
           fprintf(ficrespijb,"\n");
         }
         free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
         fprintf(ficrespijb,"\n");
       }
       /*}*/
     }
     return 0;
    } /*  hBijx */
   
   
   /***********************************************/
   /**************** 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 ncvyear=0; /* Number of years needed for the period prevalence to converge */
     int jj, ll, li, lj, lk;
     int numlinepar=0; /* Current linenumber of parameter file */
     int num_filled;
     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=0.;
   
     double ageminpar=AGEOVERFLOW,agemin=AGEOVERFLOW, agemaxpar=-AGEOVERFLOW, agemax=-AGEOVERFLOW;
     double ageminout=-AGEOVERFLOW,agemaxout=AGEOVERFLOW; /* Smaller Age range redefined after movingaverage */
   
     double fret;
     double dum=0.; /* Dummy variable */
     double ***p3mat;
     /* double ***mobaverage; */
   
     char line[MAXLINE];
     char path[MAXLINE],pathc[MAXLINE],pathcd[MAXLINE],pathtot[MAXLINE];
   
     char model[MAXLINE], modeltemp[MAXLINE];
     char pathr[MAXLINE], pathimach[MAXLINE]; 
     char *tok, *val; /* pathtot */
     int firstobs=1, lastobs=10;
     int c,  h , cpt, c2;
     int jl=0;
     int i1, j1, jk, stepsize=0;
     int count=0;
   
     int *tab; 
     int mobilavproj=0 , prevfcast=0 ; /* moving average of prev, If prevfcast=1 prevalence projection */
     int backcast=0;
     int mobilav=0,popforecast=0;
     int hstepm=0, nhstepm=0;
     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=0., agebase=0.;
     double ftolpl=FTOL;
     double **prlim;
     double **bprlim;
     double ***param; /* Matrix of parameters */
     double  *p;
     double **matcov; /* Matrix of covariance */
     double **hess; /* Hessian matrix */
     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 jback1=1,mback1=1,anback1=2000,jback2=1,mback2=1,anback2=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;
   #ifdef WIN32
     _getcwd(pathcd, size);
   #else
     getcwd(pathcd, size);
   #endif
     syscompilerinfo(0);
     printf("\nIMaCh version %s, %s\n%s",version, copyright, fullversion);
     if(argc <=1){
       printf("\nEnter the parameter file name: ");
       if(!fgets(pathr,FILENAMELENGTH,stdin)){
         printf("ERROR Empty parameter file name\n");
         goto end;
       }
       i=strlen(pathr);
       if(pathr[i-1]=='\n')
         pathr[i-1]='\0';
       i=strlen(pathr);
       if(i >= 1 && pathr[i-1]==' ') {/* This may happen when dragging on oS/X! */
         pathr[i-1]='\0';
       }
       i=strlen(pathr);
       if( i==0 ){
         printf("ERROR Empty parameter file name\n");
         goto end;
       }
       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);
   #ifdef WIN32
     _chdir(path); /* Can be a relative path */
     if(_getcwd(pathcd,MAXLINE) > 0) /* So pathcd is the full path */
   #else
     chdir(path); /* Can be a relative path */
     if (getcwd(pathcd, MAXLINE) > 0) /* So pathcd is the full path */
   #endif
     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 --------*/
   
     /* Main 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,"Version %s %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(1);
   
     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(fileresu, optionfilefiname); /* Without r in front */
     strcat(fileres,".txt");    /* Other files have txt extension */
     strcat(fileresu,".txt");    /* Other files have txt extension */
   
     /* Main ---------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,fileresu);
     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;
   
       /* First parameter line */
     while(fgets(line, MAXLINE, ficpar)) {
       /* If line starts with a # it is a comment */
       if (line[0] == '#') {
         numlinepar++;
         fputs(line,stdout);
         fputs(line,ficparo);
         fputs(line,ficlog);
         continue;
       }else
         break;
     }
     if((num_filled=sscanf(line,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", \
                           title, datafile, &lastobs, &firstpass,&lastpass)) !=EOF){
       if (num_filled != 5) {
         printf("Should be 5 parameters\n");
       }
       numlinepar++;
       printf("title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", title, datafile, lastobs, firstpass,lastpass);
     }
     /* Second parameter line */
     while(fgets(line, MAXLINE, ficpar)) {
       /* If line starts with a # it is a comment */
       if (line[0] == '#') {
         numlinepar++;
         fputs(line,stdout);
         fputs(line,ficparo);
         fputs(line,ficlog);
         continue;
       }else
         break;
     }
     if((num_filled=sscanf(line,"ftol=%lf stepm=%d ncovcol=%d nqv=%d ntv=%d nqtv=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\n", \
                           &ftol, &stepm, &ncovcol, &nqv, &ntv, &nqtv, &nlstate, &ndeath, &maxwav, &mle, &weightopt)) !=EOF){
       if (num_filled != 11) {
         printf("Not 11 parameters, for example:ftol=1.e-8 stepm=12 ncovcol=2 nqv=1 ntv=2 nqtv=1  nlstate=2 ndeath=1 maxwav=3 mle=1 weight=1\n");
         printf("but line=%s\n",line);
       }
       printf("ftol=%e stepm=%d ncovcol=%d nqv=%d ntv=%d nqtv=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\n",ftol, stepm, ncovcol, nqv, ntv, nqtv, nlstate, ndeath, maxwav, mle, weightopt);
     }
     /* ftolpl=6*ftol*1.e5; /\* 6.e-3 make convergences in less than 80 loops for the prevalence limit *\/ */
     /*ftolpl=6.e-4; *//* 6.e-3 make convergences in less than 80 loops for the prevalence limit */
     /* Third parameter line */
     while(fgets(line, MAXLINE, ficpar)) {
       /* If line starts with a # it is a comment */
       if (line[0] == '#') {
         numlinepar++;
         fputs(line,stdout);
         fputs(line,ficparo);
         fputs(line,ficlog);
         continue;
       }else
         break;
     }
     if((num_filled=sscanf(line,"model=1+age%[^.\n]", model)) !=EOF){
       if (num_filled == 0)
               model[0]='\0';
       else if (num_filled != 1){
         printf("ERROR %d: Model should be at minimum 'model=1+age.' %s\n",num_filled, line);
         fprintf(ficlog,"ERROR %d: Model should be at minimum 'model=1+age.' %s\n",num_filled, line);
         model[0]='\0';
         goto end;
       }
       else{
         if (model[0]=='+'){
           for(i=1; i<=strlen(model);i++)
             modeltemp[i-1]=model[i];
           strcpy(model,modeltemp); 
         }
       }
       /* printf(" model=1+age%s modeltemp= %s, model=%s\n",model, modeltemp, model);fflush(stdout); */
       printf("model=1+age+%s\n",model);fflush(stdout);
     }
     /* 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=1+age+%s\n",title, datafile, &lastobs, &firstpass,&lastpass,&ftol, &stepm, &ncovcol, &nlstate,&ndeath, &maxwav, &mle, &weightopt,model); */
     /* numlinepar=numlinepar+3; /\* In general *\/ */
     /* 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=1+age+%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 nqv=%d ntv=%d nqtv=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\nmodel=1+age+%s.\n", title, datafile, lastobs, firstpass,lastpass,ftol,stepm,ncovcol, nqv, ntv, nqtv, nlstate,ndeath,maxwav, mle, weightopt,model);
     fprintf(ficlog,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncovcol=%d nqv=%d ntv=%d nqtv=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\nmodel=1+age+%s.\n", title, datafile, lastobs, firstpass,lastpass,ftol,stepm,ncovcol, nqv, ntv, nqtv, nlstate,ndeath,maxwav, mle, weightopt,model);
     fflush(ficlog);
     /* if(model[0]=='#'|| model[0]== '\0'){ */
     if(model[0]=='#'){
       printf("Error in 'model' line: model should start with 'model=1+age+' and end with '.' \n \
    'model=1+age+.' or 'model=1+age+V1.' or 'model=1+age+age*age+V1+V1*age.' or \n \
    'model=1+age+V1+V2.' or 'model=1+age+V1+V2+V1*V2.' etc. \n");          \
       if(mle != -1){
         printf("Fix the model line and run imach with mle=-1 to get a correct template of the parameter file.\n");
         exit(1);
       }
     }
     while((c=getc(ficpar))=='#' && c!= EOF){
       ungetc(c,ficpar);
       fgets(line, MAXLINE, ficpar);
       numlinepar++;
       if(line[1]=='q'){ /* This #q will quit imach (the answer is q) */
         z[0]=line[1];
       }
       /* printf("****line [1] = %c \n",line[1]); */
       fputs(line, stdout);
       //puts(line);
       fputs(line,ficparo);
       fputs(line,ficlog);
     }
     ungetc(c,ficpar);
   
      
     covar=matrix(0,NCOVMAX,1,n);  /**< used in readdata */
     coqvar=matrix(1,nqv,1,n);  /**< Fixed quantitative covariate */
     cotvar=ma3x(1,maxwav,1,ntv,1,n);  /**< Time varying covariate */
     cotqvar=ma3x(1,maxwav,1,nqtv,1,n);  /**< Time varying quantitative covariate */
     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,age*age makes 3*/
     else
       ncovmodel=2; /* Constant and age */
     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 chose mle=-1, look at file %s for a template of covariance matrix \n",filereso);
       fprintf(ficlog," You chose 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==-5) { /* Main Wizard */
       prwizard(ncovmodel, nlstate, ndeath, model, ficparo);
       printf(" You chose mle=-3, look at file %s for a template of covariance matrix \n",filereso);
       fprintf(ficlog," You chose 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);
       hess=matrix(1,npar,1,npar);
     }  else{ /* Begin of mle != -1 or -5 */
       /* 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 != jj)){
                                           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,jj);
                                   fprintf(ficlog,"%1d%1d",i,jj);
                                   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);
       hess=matrix(1,npar,1,npar);
       for(i=1; i <=npar; i++)
         for(j=1; j <=npar; j++) matcov[i][j]=0.;
                   
       /* Scans npar lines */
       for(i=1; i <=npar; i++){
         count=fscanf(ficpar,"%1d%1d%d",&i1,&j1,&jk);
         if(count != 3){
           printf("Error! Error in parameter file %s at line %d after line starting with %1d%1d%1d\n\
   This is probably because your covariance matrix doesn't \n  contain exactly %d lines corresponding to your model line '1+age+%s'.\n\
   Please run with mle=-1 to get a correct covariance matrix.\n",optionfile,numlinepar, i1,j1,jk, npar, model);
           fprintf(ficlog,"Error! Error in parameter file %s at line %d after line starting with %1d%1d%1d\n\
   This is probably because your covariance matrix doesn't \n  contain exactly %d lines corresponding to your model line '1+age+%s'.\n\
   Please run with mle=-1 to get a correct covariance matrix.\n",optionfile,numlinepar, i1,j1,jk, npar, model);
           exit(1);
         }else{
           if(mle==1)
             printf("%1d%1d%d",i1,j1,jk);
         }
         fprintf(ficlog,"%1d%1d%d",i1,j1,jk);
         fprintf(ficparo,"%1d%1d%d",i1,j1,jk);
         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");
       }
       /* End of read covariance matrix npar lines */
       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", rfileres);goto end;
         fprintf(ficlog,"Problem writing new parameter file: %s\n", rfileres);goto end;
       }
       fprintf(ficres,"#%s\n",version);
     }    /* End of mle != -3 */
     
     /*  Main data
      */
     n= lastobs;
     num=lvector(1,n);
     moisnais=vector(1,n);
     annais=vector(1,n);
     moisdc=vector(1,n);
     andc=vector(1,n);
     weight=vector(1,n);
     agedc=vector(1,n);
     cod=ivector(1,n);
     for(i=1;i<=n;i++){
                   num[i]=0;
                   moisnais[i]=0;
                   annais[i]=0;
                   moisdc[i]=0;
                   andc[i]=0;
                   agedc[i]=0;
                   cod[i]=0;
                   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 */
     ncodemaxwundef=ivector(1,NCOVMAX); /* Number of code per covariate; if - 1 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. */
     Typevar=ivector(-1,NCOVMAX); /* -1 to 2 */
     Fixed=ivector(-1,NCOVMAX); /* -1 to 3 */
     Dummy=ivector(-1,NCOVMAX); /* -1 to 3 */
     /*  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 k position of the k1 product */
     Tposprod=ivector(1,NCOVMAX); /* Gives the k1 product from the k position */
     /* 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)
        Tposprod[k]=k1 , Tposprod[3]=1, Tposprod[5]=2 
     */
     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
                         */  
     Tmodelind=ivector(1,NCOVMAX);/** five the k model position of an
                                   * individual dummy, fixed or varying:
                                   * Tmodelind[Tvaraff[3]]=9,Tvaraff[1]@9={4,
                                   * 3, 1, 0, 0, 0, 0, 0, 0},
                                   * model=V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1*/
    TmodelInvind=ivector(1,NCOVMAX);
     TmodelInvQind=ivector(1,NCOVMAX);/** five the k model position of an
                                   * individual quantitative, fixed or varying:
                                   * Tmodelqind[1]=1,Tvaraff[1]@9={4,
                                   * 3, 1, 0, 0, 0, 0, 0, 0},
                                   * model=V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1*/
   /* Main decodemodel */
   
   
     if(decodemodel(model, lastobs) == 1) /* In order to get Tvar[k] V4+V3+V5 p Tvar[1]@3  = {4, 3, 5}*/
       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); */
     dh=imatrix(1,lastpass-firstpass+2,1,imx); /* We are adding a wave if status is unknown at last wave but death occurs after last wave.*/
     bh=imatrix(1,lastpass-firstpass+2,1,imx);
     mw=imatrix(1,lastpass-firstpass+2,1,imx);
      
     /* Concatenates waves */
     /* Concatenates waves: wav[i] is the number of effective (useful waves) of individual i.
        Death is a valid wave (if date is known).
        mw[mi][i] is the number of (mi=1 to wav[i]) effective wave out of mi of individual i
        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.
     */
   
     concatwav(wav, dh, bh, mw, s, agedc, agev,  firstpass, lastpass, imx, nlstate, stepm);
     /* */
    
     free_vector(moisdc,1,n);
     free_vector(andc,1,n);
   
     /* 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);  
     cptcoveff=0;
     if (ncovmodel-nagesqr > 2 ){ /* That is if covariate other than cst, age and age*age */
       tricode(&cptcoveff,Tvar,nbcode,imx, Ndum); /**< Fills nbcode[Tvar[j]][l]; */
     }
     
     ncovcombmax=pow(2,cptcoveff);
     invalidvarcomb=ivector(1, ncovcombmax); 
     for(i=1;i<ncovcombmax;i++)
       invalidvarcomb[i]=0;
     
     /* Nbcode gives the value of the lth modality (currently 1 to 2) of jth covariate, in
        V2+V1*age, there are 3 covariates Tvar[2]=1 (V1).*/
     /* 1 to ncodemax[j] which is the maximum value of this jth covariate */
     
     /*  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],codtabm(100,10));*/
     /* codtab gives the value 1 or 2 of the hth combination of k covariates (1 or 2).*/
     /* nbcode[Tvaraff[j]][codtabm(h,j)]) : if there are only 2 modalities for a covariate j, 
      * codtabm(h,j) gives its value classified at position h and nbcode gives how it is coded 
      * (currently 0 or 1) in the data.
      * In a loop on h=1 to 2**k, and a loop on j (=1 to k), we get the value of 
      * corresponding modality (h,j).
      */
   
     h=0;
     /*if (cptcovn > 0) */
     m=pow(2,cptcoveff);
    
             /**< codtab(h,k)  k   = codtab[h,k]=( (h-1) - mod(k-1,2**(k-1) )/2**(k-1) + 1
              * For k=4 covariates, h goes from 1 to m=2**k
              * codtabm(h,k)=  (1 & (h-1) >> (k-1)) + 1;
              * #define codtabm(h,k)  (1 & (h-1) >> (k-1))+1
              *     h\k   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     2
              *    10     2     1     1     2
              *    11 i=6 1     2     1     2
              *    12     2     2     1     2
              *    13 i=7 1 i=4 1     2     2    
              *    14     2     1     2     2
              *    15 i=8 1     2     2     2
              *    16     2     2     2     2
              */
     /* How to do the opposite? From combination h (=1 to 2**k) how to get the value on the covariates? */
        /* from h=5 and m, we get then number of covariates k=log(m)/log(2)=4
        * and the value of each covariate?
        * V1=1, V2=1, V3=2, V4=1 ?
        * h-1=4 and 4 is 0100 or reverse 0010, and +1 is 1121 ok.
        * h=6, 6-1=5, 5 is 0101, 1010, 2121, V1=2nd, V2=1st, V3=2nd, V4=1st.
        * In order to get the real value in the data, we use nbcode
        * nbcode[Tvar[3][2nd]]=1 and nbcode[Tvar[4][1]]=0
        * We are keeping this crazy system in order to be able (in the future?) 
        * to have more than 2 values (0 or 1) for a covariate.
        * #define codtabm(h,k)  (1 & (h-1) >> (k-1))+1
        * h=6, k=2? h-1=5=0101, reverse 1010, +1=2121, k=2nd position: value is 1: codtabm(6,2)=1
        *              bbbbbbbb
        *              76543210     
        *   h-1        00000101 (6-1=5)
        *(h-1)>>(k-1)= 00000010 >> (2-1) = 1 right shift
        *           &
        *     1        00000001 (1)
        *              00000000        = 1 & ((h-1) >> (k-1))
        *          +1= 00000001 =1 
        *
        * h=14, k=3 => h'=h-1=13, k'=k-1=2
        *          h'      1101 =2^3+2^2+0x2^1+2^0
        *    >>k'            11
        *          &   00000001
        *            = 00000001
        *      +1    = 00000010=2    =  codtabm(14,3)   
        * Reverse h=6 and m=16?
        * cptcoveff=log(16)/log(2)=4 covariate: 6-1=5=0101 reversed=1010 +1=2121 =>V1=2, V2=1, V3=2, V4=1.
        * for (j=1 to cptcoveff) Vj=decodtabm(j,h,cptcoveff)
        * decodtabm(h,j,cptcoveff)= (((h-1) >> (j-1)) & 1) +1 
        * decodtabm(h,j,cptcoveff)= (h <= (1<<cptcoveff)?(((h-1) >> (j-1)) & 1) +1 : -1)
        * V3=decodtabm(14,3,2**4)=2
        *          h'=13   1101 =2^3+2^2+0x2^1+2^0
        *(h-1) >> (j-1)    0011 =13 >> 2
        *          &1 000000001
        *           = 000000001
        *         +1= 000000010 =2
        *                  2211
        *                  V1=1+1, V2=0+1, V3=1+1, V4=1+1
        *                  V3=2
                    * codtabm and decodtabm are identical
        */
   
   
    free_ivector(Ndum,-1,NCOVMAX);
   
   
       
     /* Initialisation of ----------- 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# IMaCh-%s\n", version); 
       fprintf(ficgp,"# %s\n", optionfilegnuplot); 
       //fprintf(ficgp,"set missing 'NaNq'\n");
       fprintf(ficgp,"set datafile missing 'NaNq'\n");
     }
     /*  fclose(ficgp);*/
   
   
     /* Initialisation of --------- 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=1+age+%s<br>\n",\
             optionfilehtmcov,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);
     }
   
     fprintf(fichtm,"<html><head>\n<head>\n<meta charset=\"utf-8\"/><meta http-equiv=\"Content-Type\" content=\"text/html; charset=utf-8\" />\n<title>IMaCh %s</title></head>\n <body><font size=\"7\"><a href=http:/euroreves.ined.fr/imach>IMaCh for Interpolated Markov Chain</a> </font><br>\n<font size=\"3\">Sponsored by Copyright (C)  2002-2015 <a href=http://www.ined.fr>INED</a>-EUROREVES-Institut de longévité-2013-2016-Japan Society for the Promotion of Sciences 日本学術振興会 (<a href=https://www.jsps.go.jp/english/e-grants/>Grant-in-Aid for Scientific Research 25293121</a>) - <a href=https://software.intel.com/en-us>Intel Software 2015-2018</a></font><br>  \
   <hr size=\"2\" color=\"#EC5E5E\"> \n\
   <font size=\"2\">IMaCh-%s <br> %s</font> \
   <hr size=\"2\" color=\"#EC5E5E\"> \n\
   Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%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);
   #ifdef WIN32
     _chdir(optionfilefiname); /* Move to directory named optionfile */
   #else
     chdir(optionfilefiname); /* Move to directory named optionfile */
   #endif
             
     
     /* Calculates basic frequencies. Computes observed prevalence at single age 
                    and for any valid combination of covariates
        and prints on file fileres'p'. */
     freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx, Tvaraff, invalidvarcomb, nbcode, ncodemax,mint,anint,strstart, \
                 firstpass, lastpass,  stepm,  weightopt, model);
   
     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*/
     /* For mortality only */
     if (mle==-3){
       ximort=matrix(1,NDIM,1,NDIM); 
                   for(i=1;i<=NDIM;i++)
                           for(j=1;j<=NDIM;j++)
                                   ximort[i][j]=0.;
       /*     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,fileresu);
       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, hess, 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 ");
       fprintf(ficlog,"\nCovariance matrix\n ");
       for(i=1; i <=NDIM; i++) {
         for(j=1;j<=NDIM;j++){ 
                                   printf("%f ",matcov[i][j]);
                                   fprintf(ficlog,"%f ",matcov[i][j]);
         }
         printf("\n ");  fprintf(ficlog,"\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]));
         fprintf(ficlog,"%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 / */
                   ageminpar=50;
                   agemaxpar=100;
       if(ageminpar == AGEOVERFLOW ||agemaxpar == AGEOVERFLOW){
           printf("Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
   This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
   Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
           fprintf(ficlog,"Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
   This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
   Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
       }else{
                           printf("Warning! ageminpar %f and agemaxpar %f have been fixed because for simplification until it is fixed...\n\n",ageminpar,agemaxpar);
                           fprintf(ficlog,"Warning! ageminpar %f and agemaxpar %f have been fixed because for simplification until it is fixed...\n\n",ageminpar,agemaxpar);
         printinggnuplotmort(fileresu, optionfilefiname,ageminpar,agemaxpar,fage, pathc,p);
                   }
       printinghtmlmort(fileresu,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);
       free_matrix(ximort,1,NDIM,1,NDIM);
       free_ivector(cens,1,n);
       free_vector(agecens,1,n);
       free_ivector(dcwave,1,n);
   #ifdef GSL
   #endif
     } /* Endof if mle==-3 mortality only */
     /* Standard  */
     else{ /* For mle !=- 3, could be 0 or 1 or 4 etc. */
       globpr=0;/* Computes sum of likelihood for globpr=1 and funcone */
       /* Computes likelihood for initial parameters, uses funcone to compute gpimx and gsw */
       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");
       if(mle>=1){ /* Could be 1 or 2, Real Maximization */
         /* mlikeli uses func not funcone */
         mlikeli(ficres,p, npar, ncovmodel, nlstate, ftol, func);
       }
       if(mle==0) {/* No optimization, will print the likelihoods for the datafile */
         globpr=0;/* Computes sum of likelihood for globpr=1 and funcone */
         /* Computes likelihood for initial parameters, uses funcone to compute gpimx and gsw */
         likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
       }
       globpr=1; /* again, to print the individual contributions using computed gpimx and gsw */
       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");
       
       /*--------- results files --------------*/
       fprintf(ficres,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncovcol=%d nqv=%d ntv=%d nqtv=%d nlstate=%d ndeath=%d maxwav=%d mle= 0 weight=%d\nmodel=1+age+%s.\n", title, datafile, lastobs, firstpass,lastpass,ftol, stepm, ncovcol, nqv, ntv, nqtv, 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("%12.7f ",p[jk]);
               fprintf(ficlog,"%12.7f ",p[jk]);
               fprintf(ficres,"%12.7f ",p[jk]);
               jk++; 
             }
             printf("\n");
             fprintf(ficlog,"\n");
             fprintf(ficres,"\n");
           }
         }
       }
       if(mle != 0){
         /* Computing hessian and covariance matrix only at a peak of the Likelihood, that is after optimization */
         ftolhess=ftol; /* Usually correct */
         hesscov(matcov, hess, p, npar, delti, ftolhess, func);
         printf("Parameters and 95%% confidence intervals\n W is simply the result of the division of the parameter by the square root of covariance of the parameter.\n And Wald-based confidence intervals plus and minus 1.96 * W .\n But be careful that parameters are highly correlated because incidence of disability is highly correlated to incidence of recovery.\n It might be better to visualize the covariance matrix. See the page 'Matrix of variance-covariance of one-step probabilities' and its graphs.\n");
         fprintf(ficlog, "Parameters, Wald tests and Wald-based confidence intervals\n W is simply the result of the division of the parameter by the square root of covariance of the parameter.\n And Wald-based confidence intervals plus and minus 1.96 * W \n  It might be better to visualize the covariance matrix. See the page 'Matrix of variance-covariance of one-step probabilities' and its graphs.\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);
               for(j=1; j <=ncovmodel; j++){
                 printf("%12.7f W=%8.3f CI=[%12.7f ; %12.7f] ",p[jk], p[jk]/sqrt(matcov[jk][jk]), p[jk]-1.96*sqrt(matcov[jk][jk]),p[jk]+1.96*sqrt(matcov[jk][jk]));
                 fprintf(ficlog,"%12.7f W=%8.3f CI=[%12.7f ; %12.7f] ",p[jk], p[jk]/sqrt(matcov[jk][jk]), p[jk]-1.96*sqrt(matcov[jk][jk]),p[jk]+1.96*sqrt(matcov[jk][jk]));
                 jk++; 
               }
               printf("\n");
               fprintf(ficlog,"\n");
             }
           }
         }
       } /* end of hesscov and Wald tests */
       
       /*  */
       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) /* To big for the screen */
         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(" %.7e",matcov[jj][ll]); 
                           fprintf(ficlog," %.7e",matcov[jj][ll]); 
                           fprintf(ficres," %.7e",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(fgets(line, MAXLINE, ficpar)) {
         /* If line starts with a # it is a comment */
         if (line[0] == '#') {
           numlinepar++;
           fputs(line,stdout);
           fputs(line,ficparo);
           fputs(line,ficlog);
           continue;
         }else
           break;
       }
       
       /* while((c=getc(ficpar))=='#' && c!= EOF){ */
       /*   ungetc(c,ficpar); */
       /*   fgets(line, MAXLINE, ficpar); */
       /*   fputs(line,stdout); */
       /*   fputs(line,ficparo); */
       /* } */
       /* ungetc(c,ficpar); */
       
       estepm=0;
       if((num_filled=sscanf(line,"agemin=%lf agemax=%lf bage=%lf fage=%lf estepm=%d ftolpl=%lf\n",&ageminpar,&agemaxpar, &bage, &fage, &estepm, &ftolpl)) !=EOF){
         
         if (num_filled != 6) {
           printf("Error: Not 6 parameters in line, for example:agemin=60 agemax=95 bage=55 fage=95 estepm=24 ftolpl=6e-4\n, your line=%s . Probably you are running an older format.\n",line);
           fprintf(ficlog,"Error: Not 6 parameters in line, for example:agemin=60 agemax=95 bage=55 fage=95 estepm=24 ftolpl=6e-4\n, your line=%s . Probably you are running an older format.\n",line);
           goto end;
         }
         printf("agemin=%lf agemax=%lf bage=%lf fage=%lf estepm=%d ftolpl=%lf\n",ageminpar,agemaxpar, bage, fage, estepm, ftolpl);
       }
       /* ftolpl=6*ftol*1.e5; /\* 6.e-3 make convergences in less than 80 loops for the prevalence limit *\/ */
       /*ftolpl=6.e-4;*/ /* 6.e-3 make convergences in less than 80 loops for the prevalence limit */
       
       /* fscanf(ficpar,"agemin=%lf agemax=%lf bage=%lf fage=%lf estepm=%d ftolpl=%\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 ftolpl=%e\n",ageminpar,agemaxpar,bage,fage, estepm, ftolpl);
       fprintf(ficparo,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d, ftolpl=%e\n",ageminpar,agemaxpar,bage,fage, estepm, ftolpl);
                   
       /* Other stuffs, more or less useful */    
       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(ficlog,"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.*/
       
       while((c=getc(ficpar))=='#' && c!= EOF){
         ungetc(c,ficpar);
         fgets(line, MAXLINE, ficpar);
         fputs(line,stdout);
         fputs(line,ficparo);
       }
       ungetc(c,ficpar);
       
       fscanf(ficpar,"backcast=%d starting-back-date=%lf/%lf/%lf final-back-date=%lf/%lf/%lf mobil_average=%d\n",&backcast,&jback1,&mback1,&anback1,&jback2,&mback2,&anback2,&mobilavproj);
       fprintf(ficparo,"backcast=%d starting-back-date=%.lf/%.lf/%.lf final-back-date=%.lf/%.lf/%.lf mobil_average=%d\n",backcast,jback1,mback1,anback1,jback2,mback2,anback2,mobilavproj);
       fprintf(ficlog,"backcast=%d starting-back-date=%.lf/%.lf/%.lf final-back-date=%.lf/%.lf/%.lf mobil_average=%d\n",backcast,jback1,mback1,anback1,jback2,mback2,anback2,mobilavproj);
       fprintf(ficres,"backcast=%d starting-back-date=%.lf/%.lf/%.lf final-back-date=%.lf/%.lf/%.lf mobil_average=%d\n",backcast,jback1,mback1,anback1,jback2,mback2,anback2,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 / */
       if(ageminpar == AGEOVERFLOW ||agemaxpar == -AGEOVERFLOW){
                           printf("Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
   This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
   Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
                           fprintf(ficlog,"Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
   This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
   Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
       }else{
         printinggnuplot(fileresu, optionfilefiname,ageminpar,agemaxpar,fage, prevfcast, backcast, pathc,p);
       }
       printinghtml(fileresu,title,datafile, firstpass, lastpass, stepm, weightopt, \
                    model,imx,jmin,jmax,jmean,rfileres,popforecast,prevfcast,backcast, estepm, \
                    jprev1,mprev1,anprev1,dateprev1,jprev2,mprev2,anprev2,dateprev2);
                   
       /*------------ free_vector  -------------*/
       /*  chdir(path); */
                   
       /* free_ivector(wav,1,imx); */  /* Moved after last prevalence call */
       /* free_imatrix(dh,1,lastpass-firstpass+2,1,imx); */
       /* free_imatrix(bh,1,lastpass-firstpass+2,1,imx); */
       /* free_imatrix(mw,1,lastpass-firstpass+2,1,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);
                   
                   
       /* Other results (useful)*/
                   
                   
       /*--------------- Prevalence limit  (period or stable prevalence) --------------*/
       /*#include "prevlim.h"*/  /* Use ficrespl, ficlog */
       prlim=matrix(1,nlstate,1,nlstate);
       prevalence_limit(p, prlim,  ageminpar, agemaxpar, ftolpl, &ncvyear);
       fclose(ficrespl);
   
       /*------------- h Pij x at various ages ------------*/
       /*#include "hpijx.h"*/
       hPijx(p, bage, fage);
       fclose(ficrespij);
       
       /* ncovcombmax=  pow(2,cptcoveff); */
       /*-------------- Variance of one-step probabilities---*/
       k=1;
       varprob(optionfilefiname, matcov, p, delti, nlstate, bage, fage,k,Tvar,nbcode, ncodemax,strstart);
       
       /* Prevalence for each covariates in probs[age][status][cov] */
       probs= ma3x(1,AGESUP,1,nlstate+ndeath, 1,ncovcombmax);
       for(i=1;i<=AGESUP;i++)
         for(j=1;j<=nlstate+ndeath;j++) /* ndeath is useless but a necessity to be compared with mobaverages */
           for(k=1;k<=ncovcombmax;k++)
             probs[i][j][k]=0.;
       prevalence(probs, ageminpar, agemaxpar, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass);
       if (mobilav!=0 ||mobilavproj !=0 ) {
         mobaverages= ma3x(1, AGESUP,1,nlstate+ndeath, 1,ncovcombmax);
         for(i=1;i<=AGESUP;i++)
           for(j=1;j<=nlstate;j++)
             for(k=1;k<=ncovcombmax;k++)
               mobaverages[i][j][k]=0.;
         mobaverage=mobaverages;
         if (mobilav!=0) {
           if (movingaverage(probs, ageminpar, agemaxpar, mobaverage, mobilav)!=0){
             fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
             printf(" Error in movingaverage mobilav=%d\n",mobilav);
           }
         }
         /* /\* Prevalence for each covariates in probs[age][status][cov] *\/ */
         /* prevalence(probs, ageminpar, agemaxpar, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass); */
         else if (mobilavproj !=0) {
           if (movingaverage(probs, ageminpar, agemaxpar, mobaverage, mobilavproj)!=0){
             fprintf(ficlog," Error in movingaverage mobilavproj=%d\n",mobilavproj);
             printf(" Error in movingaverage mobilavproj=%d\n",mobilavproj);
           }
         }
       }/* end if moving average */
       
       /*---------- Forecasting ------------------*/
       /*if((stepm == 1) && (strcmp(model,".")==0)){*/
       if(prevfcast==1){
         /*    if(stepm ==1){*/
         prevforecast(fileresu, anproj1, mproj1, jproj1, agemin, agemax, dateprev1, dateprev2, mobilavproj, bage, fage, firstpass, lastpass, anproj2, p, cptcoveff);
       }
       if(backcast==1){
         ddnewms=matrix(1,nlstate+ndeath,1,nlstate+ndeath);        
         ddoldms=matrix(1,nlstate+ndeath,1,nlstate+ndeath);        
         ddsavms=matrix(1,nlstate+ndeath,1,nlstate+ndeath);
   
         /*--------------- Back Prevalence limit  (period or stable prevalence) --------------*/
   
         bprlim=matrix(1,nlstate,1,nlstate);
         back_prevalence_limit(p, bprlim,  ageminpar, agemaxpar, ftolpl, &ncvyear, dateprev1, dateprev2, firstpass, lastpass, mobilavproj);
         fclose(ficresplb);
   
         hBijx(p, bage, fage, mobaverage);
         fclose(ficrespijb);
         free_matrix(bprlim,1,nlstate,1,nlstate); /*here or after loop ? */
   
         /* prevbackforecast(fileresu, anback1, mback1, jback1, agemin, agemax, dateprev1, dateprev2, mobilavproj,
            bage, fage, firstpass, lastpass, anback2, p, cptcoveff); */
         free_matrix(ddnewms, 1, nlstate+ndeath, 1, nlstate+ndeath);
         free_matrix(ddsavms, 1, nlstate+ndeath, 1, nlstate+ndeath);
         free_matrix(ddoldms, 1, nlstate+ndeath, 1, nlstate+ndeath);
       }
       
    
       /* ------ Other prevalence ratios------------ */
   
       free_ivector(wav,1,imx);
       free_imatrix(dh,1,lastpass-firstpass+2,1,imx);
       free_imatrix(bh,1,lastpass-firstpass+2,1,imx);
       free_imatrix(mw,1,lastpass-firstpass+2,1,imx);   
                   
                   
       /*---------- Health expectancies, no variances ------------*/
                   
       strcpy(filerese,"E_");
       strcat(filerese,fileresu);
       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' ...", filerese);fflush(stdout);
       fprintf(ficlog,"Computing Health Expectancies: result on file '%s' ...", filerese);fflush(ficlog);
                   
       for (k=1; k <= (int) pow(2,cptcoveff); k++){ /* For any combination of dummy covariates, fixed and varying */
         fprintf(ficreseij,"\n#****** ");
         for(j=1;j<=cptcoveff;j++) {
           fprintf(ficreseij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(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);
       printf("done evsij\n");fflush(stdout);
       fprintf(ficlog,"done evsij\n");fflush(ficlog);
                   
       /*---------- State-specific expectancies and variances ------------*/
                   
                   
       strcpy(filerest,"T_");
       strcat(filerest,fileresu);
       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); fflush(stdout);
       fprintf(ficlog,"Computing Total Life expectancies with their standard errors: file '%s' ...\n", filerest); fflush(ficlog);
                   
   
       strcpy(fileresstde,"STDE_");
       strcat(fileresstde,fileresu);
       if((ficresstdeij=fopen(fileresstde,"w"))==NULL) {
         printf("Problem with State specific Exp. and std errors resultfile: %s\n", fileresstde); exit(0);
         fprintf(ficlog,"Problem with State specific Exp. and std errors resultfile: %s\n", fileresstde); exit(0);
       }
       printf("  Computing State-specific Expectancies and standard errors: result on file '%s' \n", fileresstde);
       fprintf(ficlog,"  Computing State-specific Expectancies and standard errors: result on file '%s' \n", fileresstde);
   
       strcpy(filerescve,"CVE_");
       strcat(filerescve,fileresu);
       if((ficrescveij=fopen(filerescve,"w"))==NULL) {
         printf("Problem with Covar. State-specific Exp. resultfile: %s\n", filerescve); exit(0);
         fprintf(ficlog,"Problem with Covar. State-specific Exp. resultfile: %s\n", filerescve); exit(0);
       }
       printf("    Computing Covar. of State-specific Expectancies: result on file '%s' \n", filerescve);
       fprintf(ficlog,"    Computing Covar. of State-specific Expectancies: result on file '%s' \n", filerescve);
   
       strcpy(fileresv,"V_");
       strcat(fileresv,fileresu);
       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 State-specific Expectancies: file '%s' ... ", fileresv);fflush(stdout);
       fprintf(ficlog,"      Computing Variance-covariance of State-specific Expectancies: file '%s' ... ", fileresv);fflush(ficlog);
   
       /*for(cptcov=1,k=0;cptcov<=i1;cptcov++){
         for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*/
             
       for (k=1; k <= (int) pow(2,cptcoveff); k++){
         printf("\n#****** ");
         fprintf(ficrest,"\n#****** ");
         fprintf(ficlog,"\n#****** ");
         for(j=1;j<=cptcoveff;j++){ 
           printf("V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
           fprintf(ficrest,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
           fprintf(ficlog,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
         }
         fprintf(ficrest,"******\n");
         fprintf(ficlog,"******\n");
         printf("******\n");
         
         fprintf(ficresstdeij,"\n#****** ");
         fprintf(ficrescveij,"\n#****** ");
         for(j=1;j<=cptcoveff;j++) {
           fprintf(ficresstdeij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
           fprintf(ficrescveij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(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]][codtabm(k,j)]);
         fprintf(ficresvij,"******\n");
         
         eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
         oldm=oldms;savm=savms;
         printf(" cvevsij combination#=%d, ",k);
         fprintf(ficlog, " cvevsij combination#=%d, ",k);
         cvevsij(eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k, estepm, delti, matcov, strstart);
         printf(" end cvevsij \n ");
         fprintf(ficlog, " end cvevsij \n ");
         
         /*
          */
         /* 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; /* ZZ Segmentation fault */
           cptcod= 0; /* To be deleted */
           printf("varevsij vpopbased=%d \n",vpopbased);
           fprintf(ficlog, "varevsij vpopbased=%d \n",vpopbased);
           varevsij(optionfilefiname, vareij, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl, &ncvyear, 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 popbased mobilav e.. (std) ");
           for (i=1;i<=nlstate;i++) fprintf(ficrest,"e.%d (std) ",i);
           fprintf(ficrest,"\n");
           /* printf("Which p?\n"); for(i=1;i<=npar;i++)printf("p[i=%d]=%lf,",i,p[i]);printf("\n"); */
           epj=vector(1,nlstate+1);
           printf("Computing age specific period (stable) prevalences in each health state \n");
           fprintf(ficlog,"Computing age specific period (stable) prevalences in each health state \n");
           for(age=bage; age <=fage ;age++){
             prevalim(prlim, nlstate, p, age, oldm, savm, ftolpl, &ncvyear, k); /*ZZ Is it the correct prevalim */
             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 %d %d",age, vpopbased, mobilav);
             /* fprintf(ficrest," %4.0f %d %d %d %d",age, vpopbased, mobilav,Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]); */ /* to be done */
             /* printf(" age %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];
                 /*ZZZ  printf("%lf %lf ", prlim[i][i] ,eij[i][j][(int)age]);*/
                 /* printf("%lf %lf ", prlim[i][i] ,eij[i][j][(int)age]); */
               }
               epj[nlstate+1] +=epj[j];
             }
             /* printf(" age %4.0f \n",age); */
             
             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");
           }
         } /* End vpopbased */
         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);
         printf("done \n");fflush(stdout);
         fprintf(ficlog,"done\n");fflush(ficlog);
         
         /*}*/
       } /* End k */
   
       printf("done State-specific expectancies\n");fflush(stdout);
       fprintf(ficlog,"done State-specific expectancies\n");fflush(ficlog);
   
       /*------- Variance of period (stable) prevalence------*/   
       
       strcpy(fileresvpl,"VPL_");
       strcat(fileresvpl,fileresu);
       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' ...", fileresvpl);fflush(stdout);
       fprintf(ficlog, "Computing Variance-covariance of period (stable) prevalence: file '%s' ...", fileresvpl);fflush(ficlog);
       
       /*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#****** ");
         printf("\n#****** ");
         fprintf(ficlog,"\n#****** ");
         for(j=1;j<=cptcoveff;j++) {
           fprintf(ficresvpl,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
           fprintf(ficlog,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
           printf("V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
         }
         fprintf(ficresvpl,"******\n");
         printf("******\n");
         fprintf(ficlog,"******\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, &ncvyear, k, strstart);
         free_matrix(varpl,1,nlstate,(int) bage, (int)fage);
         /*}*/
       }
       
       fclose(ficresvpl);
       printf("done variance-covariance of period prevalence\n");fflush(stdout);
       fprintf(ficlog,"done variance-covariance of period prevalence\n");fflush(ficlog);
       
       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);
       
       
       /*---------- End : free ----------------*/
       if (mobilav!=0 ||mobilavproj !=0)
         free_ma3x(mobaverages,1, AGESUP,1,nlstate+ndeath, 1,ncovcombmax); /* We need to have a squared matrix with prevalence of the dead! */
       free_ma3x(probs,1,AGESUP,1,nlstate+ndeath, 1,ncovcombmax);
       free_matrix(prlim,1,nlstate,1,nlstate); /*here or after loop ? */
       free_matrix(pmmij,1,nlstate+ndeath,1,nlstate+ndeath);
     }  /* mle==-3 arrives here for freeing */
     /* endfree:*/
     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_ma3x(cotqvar,1,maxwav,1,nqtv,1,n);
     free_ma3x(cotvar,1,maxwav,1,ntv,1,n);
     free_matrix(coqvar,1,maxwav,1,n);
     free_matrix(covar,0,NCOVMAX,1,n);
     free_matrix(matcov,1,npar,1,npar);
     free_matrix(hess,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(ncodemaxwundef,1,NCOVMAX);
     free_ivector(Dummy,-1,NCOVMAX);
     free_ivector(Fixed,-1,NCOVMAX);
     free_ivector(Typevar,-1,NCOVMAX);
     free_ivector(Tvar,1,NCOVMAX);
     free_ivector(Tposprod,1,NCOVMAX);
     free_ivector(Tprod,1,NCOVMAX);
     free_ivector(Tvaraff,1,NCOVMAX);
     free_ivector(invalidvarcomb,1,ncovcombmax);
     free_ivector(Tage,1,NCOVMAX);
     free_ivector(Tmodelind,1,NCOVMAX);
     free_ivector(TmodelInvind,1,NCOVMAX);
     free_ivector(TmodelInvQind,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. Please look at the log file for details.\n",nberr,nbwarn);
       fprintf(ficlog,"End of Imach with %d errors and/or warnings %d. Please look at the log file for details.\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);
   #ifdef WIN32
     if (_chdir(pathcd) != 0)
       printf("Can't move to directory %s!\n",path);
     if(_getcwd(pathcd,MAXLINE) > 0)
   #else
       if(chdir(pathcd) != 0)
         printf("Can't move to directory %s!\n", path);
     if (getcwd(pathcd, MAXLINE) > 0)
   #endif 
       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: "); fflush(stdout);
       scanf("%s",z);
     }
   }

Removed from v.1.49  
changed lines
  Added in v.1.229


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