Diff for /imach/src/imach.c between versions 1.51 and 1.223

version 1.51, 2002/07/19 12:22:25 version 1.223, 2016/02/19 09:23:35
Line 1 Line 1
 /* $Id$  /* $Id$
    Interpolated Markov Chain    $State$
     $Log$
   Short summary of the programme:    Revision 1.223  2016/02/19 09:23:35  brouard
      Summary: temporary
   This program computes Healthy Life Expectancies from  
   cross-longitudinal data. Cross-longitudinal data consist in: -1- a    Revision 1.222  2016/02/17 08:14:50  brouard
   first survey ("cross") where individuals from different ages are    Summary: Probably last 0.98 stable version 0.98r6
   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 1.221  2016/02/15 23:35:36  brouard
   second wave of interviews ("longitudinal") which measure each change    Summary: minor bug
   (if any) in individual health status.  Health expectancies are  
   computed from the time spent in each health state according to a    Revision 1.219  2016/02/15 00:48:12  brouard
   model. More health states you consider, more time is necessary to reach the    *** empty log message ***
   Maximum Likelihood of the parameters involved in the model.  The  
   simplest model is the multinomial logistic model where pij is the    Revision 1.218  2016/02/12 11:29:23  brouard
   probability to be observed in state j at the second wave    Summary: 0.99 Back projections
   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 1.217  2015/12/23 17:18:31  brouard
   'age' is age and 'sex' is a covariate. If you want to have a more    Summary: Experimental backcast
   complex model than "constant and age", you should modify the program  
   where the markup *Covariates have to be included here again* invites    Revision 1.216  2015/12/18 17:32:11  brouard
   you to do it.  More covariates you add, slower the    Summary: 0.98r4 Warning and status=-2
   convergence.  
     Version 0.98r4 is now:
   The advantage of this computer programme, compared to a simple     - displaying an error when status is -1, date of interview unknown and date of death known;
   multinomial logistic model, is clear when the delay between waves is not     - permitting a status -2 when the vital status is unknown at a known date of right truncation.
   identical for each individual. Also, if a individual missed an    Older changes concerning s=-2, dating from 2005 have been supersed.
   intermediate interview, the information is lost, but taken into  
   account using an interpolation or extrapolation.      Revision 1.215  2015/12/16 08:52:24  brouard
     Summary: 0.98r4 working
   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    Revision 1.214  2015/12/16 06:57:54  brouard
   split into an exact number (nh*stepm) of unobserved intermediate    Summary: temporary not working
   states. This elementary transition (by month or quarter trimester,  
   semester or year) is model as a multinomial logistic.  The hPx    Revision 1.213  2015/12/11 18:22:17  brouard
   matrix is simply the matrix product of nh*stepm elementary matrices    Summary: 0.98r4
   and the contribution of each individual to the likelihood is simply  
   hPijx.    Revision 1.212  2015/11/21 12:47:24  brouard
     Summary: minor typo
   Also this programme outputs the covariance matrix of the parameters but also  
   of the life expectancies. It also computes the prevalence limits.    Revision 1.211  2015/11/21 12:41:11  brouard
      Summary: 0.98r3 with some graph of projected cross-sectional
   Authors: Nicolas Brouard (brouard@ined.fr) and Agnès Lièvre (lievre@ined.fr).  
            Institut national d'études démographiques, Paris.    Author: Nicolas Brouard
   This software have been partly granted by Euro-REVES, a concerted action  
   from the European Union.    Revision 1.210  2015/11/18 17:41:20  brouard
   It is copyrighted identically to a GNU software product, ie programme and    Summary: Start working on projected prevalences
   software can be distributed freely for non commercial use. Latest version  
   can be accessed at http://euroreves.ined.fr/imach .    Revision 1.209  2015/11/17 22:12:03  brouard
   **********************************************************************/    Summary: Adding ftolpl parameter
      Author: N Brouard
 #include <math.h>  
 #include <stdio.h>    We had difficulties to get smoothed confidence intervals. It was due
 #include <stdlib.h>    to the period prevalence which wasn't computed accurately. The inner
 #include <unistd.h>    parameter ftolpl is now an outer parameter of the .imach parameter
     file after estepm. If ftolpl is small 1.e-4 and estepm too,
 #define MAXLINE 256    computation are long.
 #define GNUPLOTPROGRAM "gnuplot"  
 /*#define GNUPLOTPROGRAM "..\\gp37mgw\\wgnuplot"*/    Revision 1.208  2015/11/17 14:31:57  brouard
 #define FILENAMELENGTH 80    Summary: temporary
 /*#define DEBUG*/  
 #define windows    Revision 1.207  2015/10/27 17:36:57  brouard
 #define GLOCK_ERROR_NOPATH              -1      /* empty path */    *** empty log message ***
 #define GLOCK_ERROR_GETCWD              -2      /* cannot get cwd */  
     Revision 1.206  2015/10/24 07:14:11  brouard
 #define MAXPARM 30 /* Maximum number of parameters for the optimization */    *** empty log message ***
 #define NPARMAX 64 /* (nlstate+ndeath-1)*nlstate*ncovmodel */  
     Revision 1.205  2015/10/23 15:50:53  brouard
 #define NINTERVMAX 8    Summary: 0.98r3 some clarification for graphs on likelihood contributions
 #define NLSTATEMAX 8 /* Maximum number of live states (for func) */  
 #define NDEATHMAX 8 /* Maximum number of dead states (for func) */    Revision 1.204  2015/10/01 16:20:26  brouard
 #define NCOVMAX 8 /* Maximum number of covariates */    Summary: Some new graphs of contribution to likelihood
 #define MAXN 20000  
 #define YEARM 12. /* Number of months per year */    Revision 1.203  2015/09/30 17:45:14  brouard
 #define AGESUP 130    Summary: looking at better estimation of the hessian
 #define AGEBASE 40  
 #ifdef windows    Also a better criteria for convergence to the period prevalence And
 #define DIRSEPARATOR '\\'    therefore adding the number of years needed to converge. (The
 #define ODIRSEPARATOR '/'    prevalence in any alive state shold sum to one
 #else  
 #define DIRSEPARATOR '/'    Revision 1.202  2015/09/22 19:45:16  brouard
 #define ODIRSEPARATOR '\\'    Summary: Adding some overall graph on contribution to likelihood. Might change
 #endif  
     Revision 1.201  2015/09/15 17:34:58  brouard
 char version[80]="Imach version 0.8i, June 2002, INED-EUROREVES ";    Summary: 0.98r0
 int erreur; /* Error number */  
 int nvar;    - Some new graphs like suvival functions
 int cptcovn=0, cptcovage=0, cptcoveff=0,cptcov;    - Some bugs fixed like model=1+age+V2.
 int npar=NPARMAX;  
 int nlstate=2; /* Number of live states */    Revision 1.200  2015/09/09 16:53:55  brouard
 int ndeath=1; /* Number of dead states */    Summary: Big bug thanks to Flavia
 int ncovmodel, ncovcol;     /* Total number of covariables including constant a12*1 +b12*x ncovmodel=2 */  
 int popbased=0;    Even model=1+age+V2. did not work anymore
   
 int *wav; /* Number of waves for this individuual 0 is possible */    Revision 1.199  2015/09/07 14:09:23  brouard
 int maxwav; /* Maxim number of waves */    Summary: 0.98q6 changing default small png format for graph to vectorized svg.
 int jmin, jmax; /* min, max spacing between 2 waves */  
 int mle, weightopt;    Revision 1.198  2015/09/03 07:14:39  brouard
 int **mw; /* mw[mi][i] is number of the mi wave for this individual */    Summary: 0.98q5 Flavia
 int **dh; /* dh[mi][i] is number of steps between mi,mi+1 for this individual */  
 double jmean; /* Mean space between 2 waves */    Revision 1.197  2015/09/01 18:24:39  brouard
 double **oldm, **newm, **savm; /* Working pointers to matrices */    *** empty log message ***
 double **oldms, **newms, **savms; /* Fixed working pointers to matrices */  
 FILE *fic,*ficpar, *ficparo,*ficres,  *ficrespl, *ficrespij, *ficrest,*ficresf,*ficrespop;    Revision 1.196  2015/08/18 23:17:52  brouard
 FILE *ficlog;    Summary: 0.98q5
 FILE *ficgp,*ficresprob,*ficpop, *ficresprobcov, *ficresprobcor;  
 FILE *ficresprobmorprev;    Revision 1.195  2015/08/18 16:28:39  brouard
 FILE *fichtm; /* Html File */    Summary: Adding a hack for testing purpose
 FILE *ficreseij;  
 char filerese[FILENAMELENGTH];    After reading the title, ftol and model lines, if the comment line has
 FILE  *ficresvij;    a q, starting with #q, the answer at the end of the run is quit. It
 char fileresv[FILENAMELENGTH];    permits to run test files in batch with ctest. The former workaround was
 FILE  *ficresvpl;    $ echo q | imach foo.imach
 char fileresvpl[FILENAMELENGTH];  
 char title[MAXLINE];    Revision 1.194  2015/08/18 13:32:00  brouard
 char optionfile[FILENAMELENGTH], datafile[FILENAMELENGTH],  filerespl[FILENAMELENGTH];    Summary:  Adding error when the covariance matrix doesn't contain the exact number of lines required by the model line.
 char optionfilext[10], optionfilefiname[FILENAMELENGTH], plotcmd[FILENAMELENGTH];  
     Revision 1.193  2015/08/04 07:17:42  brouard
 char fileres[FILENAMELENGTH], filerespij[FILENAMELENGTH], filereso[FILENAMELENGTH], rfileres[FILENAMELENGTH];    Summary: 0.98q4
 char filelog[FILENAMELENGTH]; /* Log file */  
 char filerest[FILENAMELENGTH];    Revision 1.192  2015/07/16 16:49:02  brouard
 char fileregp[FILENAMELENGTH];    Summary: Fixing some outputs
 char popfile[FILENAMELENGTH];  
     Revision 1.191  2015/07/14 10:00:33  brouard
 char optionfilegnuplot[FILENAMELENGTH], optionfilehtm[FILENAMELENGTH];    Summary: Some fixes
   
 #define NR_END 1    Revision 1.190  2015/05/05 08:51:13  brouard
 #define FREE_ARG char*    Summary: Adding digits in output parameters (7 digits instead of 6)
 #define FTOL 1.0e-10  
     Fix 1+age+.
 #define NRANSI  
 #define ITMAX 200    Revision 1.189  2015/04/30 14:45:16  brouard
     Summary: 0.98q2
 #define TOL 2.0e-4  
     Revision 1.188  2015/04/30 08:27:53  brouard
 #define CGOLD 0.3819660    *** empty log message ***
 #define ZEPS 1.0e-10  
 #define SHFT(a,b,c,d) (a)=(b);(b)=(c);(c)=(d);    Revision 1.187  2015/04/29 09:11:15  brouard
     *** empty log message ***
 #define GOLD 1.618034  
 #define GLIMIT 100.0    Revision 1.186  2015/04/23 12:01:52  brouard
 #define TINY 1.0e-20    Summary: V1*age is working now, version 0.98q1
   
 static double maxarg1,maxarg2;    Some codes had been disabled in order to simplify and Vn*age was
 #define FMAX(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)>(maxarg2)? (maxarg1):(maxarg2))    working in the optimization phase, ie, giving correct MLE parameters,
 #define FMIN(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)<(maxarg2)? (maxarg1):(maxarg2))    but, as usual, outputs were not correct and program core dumped.
    
 #define SIGN(a,b) ((b)>0.0 ? fabs(a) : -fabs(a))    Revision 1.185  2015/03/11 13:26:42  brouard
 #define rint(a) floor(a+0.5)    Summary: Inclusion of compile and links command line for Intel Compiler
   
 static double sqrarg;    Revision 1.184  2015/03/11 11:52:39  brouard
 #define SQR(a) ((sqrarg=(a)) == 0.0 ? 0.0 :sqrarg*sqrarg)    Summary: Back from Windows 8. Intel Compiler
 #define SWAP(a,b) {temp=(a);(a)=(b);(b)=temp;}  
     Revision 1.183  2015/03/10 20:34:32  brouard
 int imx;    Summary: 0.98q0, trying with directest, mnbrak fixed
 int stepm;  
 /* Stepm, step in month: minimum step interpolation*/    We use directest instead of original Powell test; probably no
     incidence on the results, but better justifications;
 int estepm;    We fixed Numerical Recipes mnbrak routine which was wrong and gave
 /* Estepm, step in month to interpolate survival function in order to approximate Life Expectancy*/    wrong results.
   
 int m,nb;    Revision 1.182  2015/02/12 08:19:57  brouard
 int *num, firstpass=0, lastpass=4,*cod, *ncodemax, *Tage;    Summary: Trying to keep directest which seems simpler and more general
 double **agev,*moisnais, *annais, *moisdc, *andc,**mint, **anint;    Author: Nicolas Brouard
 double **pmmij, ***probs, ***mobaverage;  
 double dateintmean=0;    Revision 1.181  2015/02/11 23:22:24  brouard
     Summary: Comments on Powell added
 double *weight;  
 int **s; /* Status */    Author:
 double *agedc, **covar, idx;  
 int **nbcode, *Tcode, *Tvar, **codtab, **Tvard, *Tprod, cptcovprod, *Tvaraff;    Revision 1.180  2015/02/11 17:33:45  brouard
     Summary: Finishing move from main to function (hpijx and prevalence_limit)
 double ftol=FTOL; /* Tolerance for computing Max Likelihood */  
 double ftolhess; /* Tolerance for computing hessian */    Revision 1.179  2015/01/04 09:57:06  brouard
     Summary: back to OS/X
 /**************** split *************************/  
 static  int split( char *path, char *dirc, char *name, char *ext, char *finame )    Revision 1.178  2015/01/04 09:35:48  brouard
 {    *** empty log message ***
    char *s;                             /* pointer */  
    int  l1, l2;                         /* length counters */    Revision 1.177  2015/01/03 18:40:56  brouard
     Summary: Still testing ilc32 on OSX
    l1 = strlen( path );                 /* length of path */  
    if ( l1 == 0 ) return( GLOCK_ERROR_NOPATH );    Revision 1.176  2015/01/03 16:45:04  brouard
    s= strrchr( path, DIRSEPARATOR );            /* find last / */    *** empty log message ***
    if ( s == NULL ) {                   /* no directory, so use current */  
      /*if(strrchr(path, ODIRSEPARATOR )==NULL)    Revision 1.175  2015/01/03 16:33:42  brouard
        printf("Warning you should use %s as a separator\n",DIRSEPARATOR);*/    *** empty log message ***
 #if     defined(__bsd__)                /* get current working directory */  
       extern char       *getwd( );    Revision 1.174  2015/01/03 16:15:49  brouard
     Summary: Still in cross-compilation
       if ( getwd( dirc ) == NULL ) {  
 #else    Revision 1.173  2015/01/03 12:06:26  brouard
       extern char       *getcwd( );    Summary: trying to detect cross-compilation
   
       if ( getcwd( dirc, FILENAME_MAX ) == NULL ) {    Revision 1.172  2014/12/27 12:07:47  brouard
 #endif    Summary: Back from Visual Studio and Intel, options for compiling for Windows XP
          return( GLOCK_ERROR_GETCWD );  
       }    Revision 1.171  2014/12/23 13:26:59  brouard
       strcpy( name, path );             /* we've got it */    Summary: Back from Visual C
    } else {                             /* strip direcotry from path */  
       s++;                              /* after this, the filename */    Still problem with utsname.h on Windows
       l2 = strlen( s );                 /* length of filename */  
       if ( l2 == 0 ) return( GLOCK_ERROR_NOPATH );    Revision 1.170  2014/12/23 11:17:12  brouard
       strcpy( name, s );                /* save file name */    Summary: Cleaning some \%% back to %%
       strncpy( dirc, path, l1 - l2 );   /* now the directory */  
       dirc[l1-l2] = 0;                  /* add zero */    The escape was mandatory for a specific compiler (which one?), but too many warnings.
    }  
    l1 = strlen( dirc );                 /* length of directory */    Revision 1.169  2014/12/22 23:08:31  brouard
 #ifdef windows    Summary: 0.98p
    if ( dirc[l1-1] != '\\' ) { dirc[l1] = '\\'; dirc[l1+1] = 0; }  
 #else    Outputs some informations on compiler used, OS etc. Testing on different platforms.
    if ( dirc[l1-1] != '/' ) { dirc[l1] = '/'; dirc[l1+1] = 0; }  
 #endif    Revision 1.168  2014/12/22 15:17:42  brouard
    s = strrchr( name, '.' );            /* find last / */    Summary: update
    s++;  
    strcpy(ext,s);                       /* save extension */    Revision 1.167  2014/12/22 13:50:56  brouard
    l1= strlen( name);    Summary: Testing uname and compiler version and if compiled 32 or 64
    l2= strlen( s)+1;  
    strncpy( finame, name, l1-l2);    Testing on Linux 64
    finame[l1-l2]= 0;  
    return( 0 );                         /* we're done */    Revision 1.166  2014/12/22 11:40:47  brouard
 }    *** empty log message ***
   
     Revision 1.165  2014/12/16 11:20:36  brouard
 /******************************************/    Summary: After compiling on Visual C
   
 void replace(char *s, char*t)    * imach.c (Module): Merging 1.61 to 1.162
 {  
   int i;    Revision 1.164  2014/12/16 10:52:11  brouard
   int lg=20;    Summary: Merging with Visual C after suppressing some warnings for unused variables. Also fixing Saito's bug 0.98Xn
   i=0;  
   lg=strlen(t);    * imach.c (Module): Merging 1.61 to 1.162
   for(i=0; i<= lg; i++) {  
     (s[i] = t[i]);    Revision 1.163  2014/12/16 10:30:11  brouard
     if (t[i]== '\\') s[i]='/';    * imach.c (Module): Merging 1.61 to 1.162
   }  
 }    Revision 1.162  2014/09/25 11:43:39  brouard
     Summary: temporary backup 0.99!
 int nbocc(char *s, char occ)  
 {    Revision 1.1  2014/09/16 11:06:58  brouard
   int i,j=0;    Summary: With some code (wrong) for nlopt
   int lg=20;  
   i=0;    Author:
   lg=strlen(s);  
   for(i=0; i<= lg; i++) {    Revision 1.161  2014/09/15 20:41:41  brouard
   if  (s[i] == occ ) j++;    Summary: Problem with macro SQR on Intel compiler
   }  
   return j;    Revision 1.160  2014/09/02 09:24:05  brouard
 }    *** empty log message ***
   
 void cutv(char *u,char *v, char*t, char occ)    Revision 1.159  2014/09/01 10:34:10  brouard
 {    Summary: WIN32
   /* cuts string t into u and v where u is ended by char occ excluding it    Author: Brouard
      and v is after occ excluding it too : ex cutv(u,v,"abcdef2ghi2j",2)  
      gives u="abcedf" and v="ghi2j" */    Revision 1.158  2014/08/27 17:11:51  brouard
   int i,lg,j,p=0;    *** empty log message ***
   i=0;  
   for(j=0; j<=strlen(t)-1; j++) {    Revision 1.157  2014/08/27 16:26:55  brouard
     if((t[j]!= occ) && (t[j+1]== occ)) p=j+1;    Summary: Preparing windows Visual studio version
   }    Author: Brouard
   
   lg=strlen(t);    In order to compile on Visual studio, time.h is now correct and time_t
   for(j=0; j<p; j++) {    and tm struct should be used. difftime should be used but sometimes I
     (u[j] = t[j]);    just make the differences in raw time format (time(&now).
   }    Trying to suppress #ifdef LINUX
      u[p]='\0';    Add xdg-open for __linux in order to open default browser.
   
    for(j=0; j<= lg; j++) {    Revision 1.156  2014/08/25 20:10:10  brouard
     if (j>=(p+1))(v[j-p-1] = t[j]);    *** empty log message ***
   }  
 }    Revision 1.155  2014/08/25 18:32:34  brouard
     Summary: New compile, minor changes
 /********************** nrerror ********************/    Author: Brouard
   
 void nrerror(char error_text[])    Revision 1.154  2014/06/20 17:32:08  brouard
 {    Summary: Outputs now all graphs of convergence to period prevalence
   fprintf(stderr,"ERREUR ...\n");  
   fprintf(stderr,"%s\n",error_text);    Revision 1.153  2014/06/20 16:45:46  brouard
   exit(1);    Summary: If 3 live state, convergence to period prevalence on same graph
 }    Author: Brouard
 /*********************** vector *******************/  
 double *vector(int nl, int 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
   double *v;  
   v=(double *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(double)));    Revision 1.151  2014/06/18 16:43:30  brouard
   if (!v) nrerror("allocation failure in vector");    *** empty log message ***
   return v-nl+NR_END;  
 }    Revision 1.150  2014/06/18 16:42:35  brouard
     Summary: If gnuplot is not in the path try on same directory than imach binary (OSX)
 /************************ free vector ******************/    Author: brouard
 void free_vector(double*v, int nl, int nh)  
 {    Revision 1.149  2014/06/18 15:51:14  brouard
   free((FREE_ARG)(v+nl-NR_END));    Summary: Some fixes in parameter files errors
 }    Author: Nicolas Brouard
   
 /************************ivector *******************************/    Revision 1.148  2014/06/17 17:38:48  brouard
 int *ivector(long nl,long nh)    Summary: Nothing new
 {    Author: Brouard
   int *v;  
   v=(int *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(int)));    Just a new packaging for OS/X version 0.98nS
   if (!v) nrerror("allocation failure in ivector");  
   return v-nl+NR_END;    Revision 1.147  2014/06/16 10:33:11  brouard
 }    *** empty log message ***
   
 /******************free ivector **************************/    Revision 1.146  2014/06/16 10:20:28  brouard
 void free_ivector(int *v, long nl, long nh)    Summary: Merge
 {    Author: Brouard
   free((FREE_ARG)(v+nl-NR_END));  
 }    Merge, before building revised version.
   
 /******************* imatrix *******************************/    Revision 1.145  2014/06/10 21:23:15  brouard
 int **imatrix(long nrl, long nrh, long ncl, long nch)    Summary: Debugging with valgrind
      /* allocate a int matrix with subscript range m[nrl..nrh][ncl..nch] */    Author: Nicolas Brouard
 {  
   long i, nrow=nrh-nrl+1,ncol=nch-ncl+1;    Lot of changes in order to output the results with some covariates
   int **m;    After the Edimburgh REVES conference 2014, it seems mandatory to
      improve the code.
   /* allocate pointers to rows */    No more memory valgrind error but a lot has to be done in order to
   m=(int **) malloc((size_t)((nrow+NR_END)*sizeof(int*)));    continue the work of splitting the code into subroutines.
   if (!m) nrerror("allocation failure 1 in matrix()");    Also, decodemodel has been improved. Tricode is still not
   m += NR_END;    optimal. nbcode should be improved. Documentation has been added in
   m -= nrl;    the source code.
    
      Revision 1.143  2014/01/26 09:45:38  brouard
   /* allocate rows and set pointers to them */    Summary: Version 0.98nR (to be improved, but gives same optimization results as 0.98k. Nice, promising
   m[nrl]=(int *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(int)));  
   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");    * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
   m[nrl] += NR_END;    (Module): Version 0.98nR Running ok, but output format still only works for three covariates.
   m[nrl] -= ncl;  
      Revision 1.142  2014/01/26 03:57:36  brouard
   for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol;    Summary: gnuplot changed plot w l 1 has to be changed to plot w l lt 2
    
   /* return pointer to array of pointers to rows */    * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
   return m;  
 }    Revision 1.141  2014/01/26 02:42:01  brouard
     * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
 /****************** free_imatrix *************************/  
 void free_imatrix(m,nrl,nrh,ncl,nch)    Revision 1.140  2011/09/02 10:37:54  brouard
       int **m;    Summary: times.h is ok with mingw32 now.
       long nch,ncl,nrh,nrl;  
      /* free an int matrix allocated by imatrix() */    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((FREE_ARG) (m[nrl]+ncl-NR_END));    I remember having already fixed agemin agemax which are pointers now but not cvs saved.
   free((FREE_ARG) (m+nrl-NR_END));  
 }    Revision 1.138  2010/04/30 18:19:40  brouard
     *** empty log message ***
 /******************* matrix *******************************/  
 double **matrix(long nrl, long nrh, long ncl, long nch)    Revision 1.137  2010/04/29 18:11:38  brouard
 {    (Module): Checking covariates for more complex models
   long i, nrow=nrh-nrl+1, ncol=nch-ncl+1;    than V1+V2. A lot of change to be done. Unstable.
   double **m;  
     Revision 1.136  2010/04/26 20:30:53  brouard
   m=(double **) malloc((size_t)((nrow+NR_END)*sizeof(double*)));    (Module): merging some libgsl code. Fixing computation
   if (!m) nrerror("allocation failure 1 in matrix()");    of likelione (using inter/intrapolation if mle = 0) in order to
   m += NR_END;    get same likelihood as if mle=1.
   m -= nrl;    Some cleaning of code and comments added.
   
   m[nrl]=(double *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));    Revision 1.135  2009/10/29 15:33:14  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 1.134  2009/10/29 13:18:53  brouard
     (Module): Now imach stops if date of birth, at least year of birth, is not given. Some cleaning of the code.
   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;  
   return m;    Revision 1.133  2009/07/06 10:21:25  brouard
 }    just nforces
   
 /*************************free matrix ************************/    Revision 1.132  2009/07/06 08:22:05  brouard
 void free_matrix(double **m, long nrl, long nrh, long ncl, long nch)    Many tings
 {  
   free((FREE_ARG)(m[nrl]+ncl-NR_END));    Revision 1.131  2009/06/20 16:22:47  brouard
   free((FREE_ARG)(m+nrl-NR_END));    Some dimensions resccaled
 }  
     Revision 1.130  2009/05/26 06:44:34  brouard
 /******************* ma3x *******************************/    (Module): Max Covariate is now set to 20 instead of 8. A
 double ***ma3x(long nrl, long nrh, long ncl, long nch, long nll, long nlh)    lot of cleaning with variables initialized to 0. Trying to make
 {    V2+V3*age+V1+V4 strb=V3*age+V1+V4 working better.
   long i, j, nrow=nrh-nrl+1, ncol=nch-ncl+1, nlay=nlh-nll+1;  
   double ***m;    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
   m=(double ***) malloc((size_t)((nrow+NR_END)*sizeof(double*)));  
   if (!m) nrerror("allocation failure 1 in matrix()");    Revision 1.128  2006/06/30 13:02:05  brouard
   m += NR_END;    (Module): Clarifications on computing e.j
   m -= nrl;  
     Revision 1.127  2006/04/28 18:11:50  brouard
   m[nrl]=(double **) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));    (Module): Yes the sum of survivors was wrong since
   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");    imach-114 because nhstepm was no more computed in the age
   m[nrl] += NR_END;    loop. Now we define nhstepma in the age loop.
   m[nrl] -= ncl;    (Module): In order to speed up (in case of numerous covariates) we
     compute health expectancies (without variances) in a first step
   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;    and then all the health expectancies with variances or standard
     deviation (needs data from the Hessian matrices) which slows the
   m[nrl][ncl]=(double *) malloc((size_t)((nrow*ncol*nlay+NR_END)*sizeof(double)));    computation.
   if (!m[nrl][ncl]) nrerror("allocation failure 3 in matrix()");    In the future we should be able to stop the program is only health
   m[nrl][ncl] += NR_END;    expectancies and graph are needed without standard deviations.
   m[nrl][ncl] -= nll;  
   for (j=ncl+1; j<=nch; j++)    Revision 1.126  2006/04/28 17:23:28  brouard
     m[nrl][j]=m[nrl][j-1]+nlay;    (Module): Yes the sum of survivors was wrong since
      imach-114 because nhstepm was no more computed in the age
   for (i=nrl+1; i<=nrh; i++) {    loop. Now we define nhstepma in the age loop.
     m[i][ncl]=m[i-1l][ncl]+ncol*nlay;    Version 0.98h
     for (j=ncl+1; j<=nch; j++)  
       m[i][j]=m[i][j-1]+nlay;    Revision 1.125  2006/04/04 15:20:31  lievre
   }    Errors in calculation of health expectancies. Age was not initialized.
   return m;    Forecasting file added.
 }  
     Revision 1.124  2006/03/22 17:13:53  lievre
 /*************************free ma3x ************************/    Parameters are printed with %lf instead of %f (more numbers after the comma).
 void free_ma3x(double ***m, long nrl, long nrh, long ncl, long nch,long nll, long nlh)    The log-likelihood is printed in the log file
 {  
   free((FREE_ARG)(m[nrl][ncl]+ nll-NR_END));    Revision 1.123  2006/03/20 10:52:43  brouard
   free((FREE_ARG)(m[nrl]+ncl-NR_END));    * imach.c (Module): <title> changed, corresponds to .htm file
   free((FREE_ARG)(m+nrl-NR_END));    name. <head> headers where missing.
 }  
     * imach.c (Module): Weights can have a decimal point as for
 /***************** f1dim *************************/    English (a comma might work with a correct LC_NUMERIC environment,
 extern int ncom;    otherwise the weight is truncated).
 extern double *pcom,*xicom;    Modification of warning when the covariates values are not 0 or
 extern double (*nrfunc)(double []);    1.
      Version 0.98g
 double f1dim(double x)  
 {    Revision 1.122  2006/03/20 09:45:41  brouard
   int j;    (Module): Weights can have a decimal point as for
   double f;    English (a comma might work with a correct LC_NUMERIC environment,
   double *xt;    otherwise the weight is truncated).
      Modification of warning when the covariates values are not 0 or
   xt=vector(1,ncom);    1.
   for (j=1;j<=ncom;j++) xt[j]=pcom[j]+x*xicom[j];    Version 0.98g
   f=(*nrfunc)(xt);  
   free_vector(xt,1,ncom);    Revision 1.121  2006/03/16 17:45:01  lievre
   return f;    * imach.c (Module): Comments concerning covariates added
 }  
     * imach.c (Module): refinements in the computation of lli if
 /*****************brent *************************/    status=-2 in order to have more reliable computation if stepm is
 double brent(double ax, double bx, double cx, double (*f)(double), double tol,  double *xmin)    not 1 month. Version 0.98f
 {  
   int iter;    Revision 1.120  2006/03/16 15:10:38  lievre
   double a,b,d,etemp;    (Module): refinements in the computation of lli if
   double fu,fv,fw,fx;    status=-2 in order to have more reliable computation if stepm is
   double ftemp;    not 1 month. Version 0.98f
   double p,q,r,tol1,tol2,u,v,w,x,xm;  
   double e=0.0;    Revision 1.119  2006/03/15 17:42:26  brouard
      (Module): Bug if status = -2, the loglikelihood was
   a=(ax < cx ? ax : cx);    computed as likelihood omitting the logarithm. Version O.98e
   b=(ax > cx ? ax : cx);  
   x=w=v=bx;    Revision 1.118  2006/03/14 18:20:07  brouard
   fw=fv=fx=(*f)(x);    (Module): varevsij Comments added explaining the second
   for (iter=1;iter<=ITMAX;iter++) {    table of variances if popbased=1 .
     xm=0.5*(a+b);    (Module): Covariances of eij, ekl added, graphs fixed, new html link.
     tol2=2.0*(tol1=tol*fabs(x)+ZEPS);    (Module): Function pstamp added
     /*          if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret)))*/    (Module): Version 0.98d
     printf(".");fflush(stdout);  
     fprintf(ficlog,".");fflush(ficlog);    Revision 1.117  2006/03/14 17:16:22  brouard
 #ifdef DEBUG    (Module): varevsij Comments added explaining the second
     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);    table of variances if popbased=1 .
     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);    (Module): Covariances of eij, ekl added, graphs fixed, new html link.
     /*          if ((fabs(x-xm) <= (tol2-0.5*(b-a)))||(2.0*fabs(fu-ftemp) <= ftol*1.e-2*(fabs(fu)+fabs(ftemp)))) { */    (Module): Function pstamp added
 #endif    (Module): Version 0.98d
     if (fabs(x-xm) <= (tol2-0.5*(b-a))){  
       *xmin=x;    Revision 1.116  2006/03/06 10:29:27  brouard
       return fx;    (Module): Variance-covariance wrong links and
     }    varian-covariance of ej. is needed (Saito).
     ftemp=fu;  
     if (fabs(e) > tol1) {    Revision 1.115  2006/02/27 12:17:45  brouard
       r=(x-w)*(fx-fv);    (Module): One freematrix added in mlikeli! 0.98c
       q=(x-v)*(fx-fw);  
       p=(x-v)*q-(x-w)*r;    Revision 1.114  2006/02/26 12:57:58  brouard
       q=2.0*(q-r);    (Module): Some improvements in processing parameter
       if (q > 0.0) p = -p;    filename with strsep.
       q=fabs(q);  
       etemp=e;    Revision 1.113  2006/02/24 14:20:24  brouard
       e=d;    (Module): Memory leaks checks with valgrind and:
       if (fabs(p) >= fabs(0.5*q*etemp) || p <= q*(a-x) || p >= q*(b-x))    datafile was not closed, some imatrix were not freed and on matrix
         d=CGOLD*(e=(x >= xm ? a-x : b-x));    allocation too.
       else {  
         d=p/q;    Revision 1.112  2006/01/30 09:55:26  brouard
         u=x+d;    (Module): Back to gnuplot.exe instead of wgnuplot.exe
         if (u-a < tol2 || b-u < tol2)  
           d=SIGN(tol1,xm-x);    Revision 1.111  2006/01/25 20:38:18  brouard
       }    (Module): Lots of cleaning and bugs added (Gompertz)
     } else {    (Module): Comments can be added in data file. Missing date values
       d=CGOLD*(e=(x >= xm ? a-x : b-x));    can be a simple dot '.'.
     }  
     u=(fabs(d) >= tol1 ? x+d : x+SIGN(tol1,d));    Revision 1.110  2006/01/25 00:51:50  brouard
     fu=(*f)(u);    (Module): Lots of cleaning and bugs added (Gompertz)
     if (fu <= fx) {  
       if (u >= x) a=x; else b=x;    Revision 1.109  2006/01/24 19:37:15  brouard
       SHFT(v,w,x,u)    (Module): Comments (lines starting with a #) are allowed in data.
         SHFT(fv,fw,fx,fu)  
         } else {    Revision 1.108  2006/01/19 18:05:42  lievre
           if (u < x) a=u; else b=u;    Gnuplot problem appeared...
           if (fu <= fw || w == x) {    To be fixed
             v=w;  
             w=u;    Revision 1.107  2006/01/19 16:20:37  brouard
             fv=fw;    Test existence of gnuplot in imach path
             fw=fu;  
           } else if (fu <= fv || v == x || v == w) {    Revision 1.106  2006/01/19 13:24:36  brouard
             v=u;    Some cleaning and links added in html output
             fv=fu;  
           }    Revision 1.105  2006/01/05 20:23:19  lievre
         }    *** empty log message ***
   }  
   nrerror("Too many iterations in brent");    Revision 1.104  2005/09/30 16:11:43  lievre
   *xmin=x;    (Module): sump fixed, loop imx fixed, and simplifications.
   return fx;    (Module): If the status is missing at the last wave but we know
 }    that the person is alive, then we can code his/her status as -2
     (instead of missing=-1 in earlier versions) and his/her
 /****************** mnbrak ***********************/    contributions to the likelihood is 1 - Prob of dying from last
     health status (= 1-p13= p11+p12 in the easiest case of somebody in
 void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, double *fc,    the healthy state at last known wave). Version is 0.98
             double (*func)(double))  
 {    Revision 1.103  2005/09/30 15:54:49  lievre
   double ulim,u,r,q, dum;    (Module): sump fixed, loop imx fixed, and simplifications.
   double fu;  
      Revision 1.102  2004/09/15 17:31:30  brouard
   *fa=(*func)(*ax);    Add the possibility to read data file including tab characters.
   *fb=(*func)(*bx);  
   if (*fb > *fa) {    Revision 1.101  2004/09/15 10:38:38  brouard
     SHFT(dum,*ax,*bx,dum)    Fix on curr_time
       SHFT(dum,*fb,*fa,dum)  
       }    Revision 1.100  2004/07/12 18:29:06  brouard
   *cx=(*bx)+GOLD*(*bx-*ax);    Add version for Mac OS X. Just define UNIX in Makefile
   *fc=(*func)(*cx);  
   while (*fb > *fc) {    Revision 1.99  2004/06/05 08:57:40  brouard
     r=(*bx-*ax)*(*fb-*fc);    *** empty log message ***
     q=(*bx-*cx)*(*fb-*fa);  
     u=(*bx)-((*bx-*cx)*q-(*bx-*ax)*r)/    Revision 1.98  2004/05/16 15:05:56  brouard
       (2.0*SIGN(FMAX(fabs(q-r),TINY),q-r));    New version 0.97 . First attempt to estimate force of mortality
     ulim=(*bx)+GLIMIT*(*cx-*bx);    directly from the data i.e. without the need of knowing the health
     if ((*bx-u)*(u-*cx) > 0.0) {    state at each age, but using a Gompertz model: log u =a + b*age .
       fu=(*func)(u);    This is the basic analysis of mortality and should be done before any
     } else if ((*cx-u)*(u-ulim) > 0.0) {    other analysis, in order to test if the mortality estimated from the
       fu=(*func)(u);    cross-longitudinal survey is different from the mortality estimated
       if (fu < *fc) {    from other sources like vital statistic data.
         SHFT(*bx,*cx,u,*cx+GOLD*(*cx-*bx))  
           SHFT(*fb,*fc,fu,(*func)(u))    The same imach parameter file can be used but the option for mle should be -3.
           }  
     } else if ((u-ulim)*(ulim-*cx) >= 0.0) {    Agnès, who wrote this part of the code, tried to keep most of the
       u=ulim;    former routines in order to include the new code within the former code.
       fu=(*func)(u);  
     } else {    The output is very simple: only an estimate of the intercept and of
       u=(*cx)+GOLD*(*cx-*bx);    the slope with 95% confident intervals.
       fu=(*func)(u);  
     }    Current limitations:
     SHFT(*ax,*bx,*cx,u)    A) Even if you enter covariates, i.e. with the
       SHFT(*fa,*fb,*fc,fu)    model= V1+V2 equation for example, the programm does only estimate a unique global model without covariates.
       }    B) There is no computation of Life Expectancy nor Life Table.
 }  
     Revision 1.97  2004/02/20 13:25:42  lievre
 /*************** linmin ************************/    Version 0.96d. Population forecasting command line is (temporarily)
     suppressed.
 int ncom;  
 double *pcom,*xicom;    Revision 1.96  2003/07/15 15:38:55  brouard
 double (*nrfunc)(double []);    * imach.c (Repository): Errors in subdirf, 2, 3 while printing tmpout is
      rewritten within the same printf. Workaround: many printfs.
 void linmin(double p[], double xi[], int n, double *fret,double (*func)(double []))  
 {    Revision 1.95  2003/07/08 07:54:34  brouard
   double brent(double ax, double bx, double cx,    * imach.c (Repository):
                double (*f)(double), double tol, double *xmin);    (Repository): Using imachwizard code to output a more meaningful covariance
   double f1dim(double x);    matrix (cov(a12,c31) instead of numbers.
   void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb,  
               double *fc, double (*func)(double));    Revision 1.94  2003/06/27 13:00:02  brouard
   int j;    Just cleaning
   double xx,xmin,bx,ax;  
   double fx,fb,fa;    Revision 1.93  2003/06/25 16:33:55  brouard
      (Module): On windows (cygwin) function asctime_r doesn't
   ncom=n;    exist so I changed back to asctime which exists.
   pcom=vector(1,n);    (Module): Version 0.96b
   xicom=vector(1,n);  
   nrfunc=func;    Revision 1.92  2003/06/25 16:30:45  brouard
   for (j=1;j<=n;j++) {    (Module): On windows (cygwin) function asctime_r doesn't
     pcom[j]=p[j];    exist so I changed back to asctime which exists.
     xicom[j]=xi[j];  
   }    Revision 1.91  2003/06/25 15:30:29  brouard
   ax=0.0;    * imach.c (Repository): Duplicated warning errors corrected.
   xx=1.0;    (Repository): Elapsed time after each iteration is now output. It
   mnbrak(&ax,&xx,&bx,&fa,&fx,&fb,f1dim);    helps to forecast when convergence will be reached. Elapsed time
   *fret=brent(ax,xx,bx,f1dim,TOL,&xmin);    is stamped in powell.  We created a new html file for the graphs
 #ifdef DEBUG    concerning matrix of covariance. It has extension -cov.htm.
   printf("retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);  
   fprintf(ficlog,"retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);    Revision 1.90  2003/06/24 12:34:15  brouard
 #endif    (Module): Some bugs corrected for windows. Also, when
   for (j=1;j<=n;j++) {    mle=-1 a template is output in file "or"mypar.txt with the design
     xi[j] *= xmin;    of the covariance matrix to be input.
     p[j] += xi[j];  
   }    Revision 1.89  2003/06/24 12:30:52  brouard
   free_vector(xicom,1,n);    (Module): Some bugs corrected for windows. Also, when
   free_vector(pcom,1,n);    mle=-1 a template is output in file "or"mypar.txt with the design
 }    of the covariance matrix to be input.
   
 /*************** powell ************************/    Revision 1.88  2003/06/23 17:54:56  brouard
 void powell(double p[], double **xi, int n, double ftol, int *iter, double *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.
             double (*func)(double []))  
 {    Revision 1.87  2003/06/18 12:26:01  brouard
   void linmin(double p[], double xi[], int n, double *fret,    Version 0.96
               double (*func)(double []));  
   int i,ibig,j;    Revision 1.86  2003/06/17 20:04:08  brouard
   double del,t,*pt,*ptt,*xit;    (Module): Change position of html and gnuplot routines and added
   double fp,fptt;    routine fileappend.
   double *xits;  
   pt=vector(1,n);    Revision 1.85  2003/06/17 13:12:43  brouard
   ptt=vector(1,n);    * imach.c (Repository): Check when date of death was earlier that
   xit=vector(1,n);    current date of interview. It may happen when the death was just
   xits=vector(1,n);    prior to the death. In this case, dh was negative and likelihood
   *fret=(*func)(p);    was wrong (infinity). We still send an "Error" but patch by
   for (j=1;j<=n;j++) pt[j]=p[j];    assuming that the date of death was just one stepm after the
   for (*iter=1;;++(*iter)) {    interview.
     fp=(*fret);    (Repository): Because some people have very long ID (first column)
     ibig=0;    we changed int to long in num[] and we added a new lvector for
     del=0.0;    memory allocation. But we also truncated to 8 characters (left
     printf("\nPowell iter=%d -2*LL=%.12f",*iter,*fret);    truncation)
     fprintf(ficlog,"\nPowell iter=%d -2*LL=%.12f",*iter,*fret);    (Repository): No more line truncation errors.
     for (i=1;i<=n;i++)  
       printf(" %d %.12f",i, p[i]);    Revision 1.84  2003/06/13 21:44:43  brouard
     fprintf(ficlog," %d %.12f",i, p[i]);    * imach.c (Repository): Replace "freqsummary" at a correct
     printf("\n");    place. It differs from routine "prevalence" which may be called
     fprintf(ficlog,"\n");    many times. Probs is memory consuming and must be used with
     for (i=1;i<=n;i++) {    parcimony.
       for (j=1;j<=n;j++) xit[j]=xi[j][i];    Version 0.95a3 (should output exactly the same maximization than 0.8a2)
       fptt=(*fret);  
 #ifdef DEBUG    Revision 1.83  2003/06/10 13:39:11  lievre
       printf("fret=%lf \n",*fret);    *** empty log message ***
       fprintf(ficlog,"fret=%lf \n",*fret);  
 #endif    Revision 1.82  2003/06/05 15:57:20  brouard
       printf("%d",i);fflush(stdout);    Add log in  imach.c and  fullversion number is now printed.
       fprintf(ficlog,"%d",i);fflush(ficlog);  
       linmin(p,xit,n,fret,func);  */
       if (fabs(fptt-(*fret)) > del) {  /*
         del=fabs(fptt-(*fret));     Interpolated Markov Chain
         ibig=i;  
       }    Short summary of the programme:
 #ifdef DEBUG    
       printf("%d %.12e",i,(*fret));    This program computes Healthy Life Expectancies from
       fprintf(ficlog,"%d %.12e",i,(*fret));    cross-longitudinal data. Cross-longitudinal data consist in: -1- a
       for (j=1;j<=n;j++) {    first survey ("cross") where individuals from different ages are
         xits[j]=FMAX(fabs(p[j]-pt[j]),1.e-5);    interviewed on their health status or degree of disability (in the
         printf(" x(%d)=%.12e",j,xit[j]);    case of a health survey which is our main interest) -2- at least a
         fprintf(ficlog," x(%d)=%.12e",j,xit[j]);    second wave of interviews ("longitudinal") which measure each change
       }    (if any) in individual health status.  Health expectancies are
       for(j=1;j<=n;j++) {    computed from the time spent in each health state according to a
         printf(" p=%.12e",p[j]);    model. More health states you consider, more time is necessary to reach the
         fprintf(ficlog," p=%.12e",p[j]);    Maximum Likelihood of the parameters involved in the model.  The
       }    simplest model is the multinomial logistic model where pij is the
       printf("\n");    probability to be observed in state j at the second wave
       fprintf(ficlog,"\n");    conditional to be observed in state i at the first wave. Therefore
 #endif    the model is: log(pij/pii)= aij + bij*age+ cij*sex + etc , where
     }    'age' is age and 'sex' is a covariate. If you want to have a more
     if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret))) {    complex model than "constant and age", you should modify the program
 #ifdef DEBUG    where the markup *Covariates have to be included here again* invites
       int k[2],l;    you to do it.  More covariates you add, slower the
       k[0]=1;    convergence.
       k[1]=-1;  
       printf("Max: %.12e",(*func)(p));    The advantage of this computer programme, compared to a simple
       fprintf(ficlog,"Max: %.12e",(*func)(p));    multinomial logistic model, is clear when the delay between waves is not
       for (j=1;j<=n;j++) {    identical for each individual. Also, if a individual missed an
         printf(" %.12e",p[j]);    intermediate interview, the information is lost, but taken into
         fprintf(ficlog," %.12e",p[j]);    account using an interpolation or extrapolation.  
       }  
       printf("\n");    hPijx is the probability to be observed in state i at age x+h
       fprintf(ficlog,"\n");    conditional to the observed state i at age x. The delay 'h' can be
       for(l=0;l<=1;l++) {    split into an exact number (nh*stepm) of unobserved intermediate
         for (j=1;j<=n;j++) {    states. This elementary transition (by month, quarter,
           ptt[j]=p[j]+(p[j]-pt[j])*k[l];    semester or year) is modelled as a multinomial logistic.  The hPx
           printf("l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);    matrix is simply the matrix product of nh*stepm elementary matrices
           fprintf(ficlog,"l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);    and the contribution of each individual to the likelihood is simply
         }    hPijx.
         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)));    Also this programme outputs the covariance matrix of the parameters but also
       }    of the life expectancies. It also computes the period (stable) prevalence.
 #endif  
   Back prevalence and projections:
    - 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)
       free_vector(xit,1,n);      Computes the back prevalence limit  for any combination     of covariate values k
       free_vector(xits,1,n);      at any age between ageminpar and agemaxpar and returns it in **bprlim. In the loops,
       free_vector(ptt,1,n);     - **bprevalim(**bprlim, ***mobaverage, nlstate, *p, age, **oldm, **savm, **dnewm, **doldm, **dsavm, ftolpl, ncvyearp, k);
       free_vector(pt,1,n);   - hBijx Back Probability to be in state i at age x-h being in j at x
       return;     Computes for any combination of covariates k and any age between bage and fage 
     }     p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
     if (*iter == ITMAX) nrerror("powell exceeding maximum iterations.");                          oldm=oldms;savm=savms;
     for (j=1;j<=n;j++) {           - hbxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);
       ptt[j]=2.0*p[j]-pt[j];       Computes the transition matrix starting at age 'age' over
       xit[j]=p[j]-pt[j];       'nhstepm*hstepm*stepm' months (i.e. until
       pt[j]=p[j];       age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying
     }       nhstepm*hstepm matrices. Returns p3mat[i][j][h] after calling 
     fptt=(*func)(ptt);       p3mat[i][j][h]=matprod2(newm, bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent, dnewm, doldm, dsavm,ij),\
     if (fptt < fp) {                                                                           1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm);
       t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)-del*SQR(fp-fptt);  
       if (t < 0.0) {    Authors: Nicolas Brouard (brouard@ined.fr) and Agnès Lièvre (lievre@ined.fr).
         linmin(p,xit,n,fret,func);             Institut national d'études démographiques, Paris.
         for (j=1;j<=n;j++) {    This software have been partly granted by Euro-REVES, a concerted action
           xi[j][ibig]=xi[j][n];    from the European Union.
           xi[j][n]=xit[j];    It is copyrighted identically to a GNU software product, ie programme and
         }    software can be distributed freely for non commercial use. Latest version
 #ifdef DEBUG    can be accessed at http://euroreves.ined.fr/imach .
         printf("Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);  
         fprintf(ficlog,"Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);    Help to debug: LD_PRELOAD=/usr/local/lib/libnjamd.so ./imach foo.imach
         for(j=1;j<=n;j++){    or better on gdb : set env LD_PRELOAD=/usr/local/lib/libnjamd.so
           printf(" %.12e",xit[j]);    
           fprintf(ficlog," %.12e",xit[j]);    **********************************************************************/
         }  /*
         printf("\n");    main
         fprintf(ficlog,"\n");    read parameterfile
 #endif    read datafile
       }    concatwav
     }    freqsummary
   }    if (mle >= 1)
 }      mlikeli
     print results files
 /**** Prevalence limit ****************/    if mle==1 
        computes hessian
 double **prevalim(double **prlim, int nlstate, double x[], double age, double **oldm, double **savm, double ftolpl, int ij)    read end of parameter file: agemin, agemax, bage, fage, estepm
 {        begin-prev-date,...
   /* Computes the prevalence limit in each live state at age x by left multiplying the unit    open gnuplot file
      matrix by transitions matrix until convergence is reached */    open html file
     period (stable) prevalence      | pl_nom    1-1 2-2 etc by covariate
   int i, ii,j,k;     for age prevalim()             | #****** V1=0  V2=1  V3=1  V4=0 ******
   double min, max, maxmin, maxmax,sumnew=0.;                                    | 65 1 0 2 1 3 1 4 0  0.96326 0.03674
   double **matprod2();      freexexit2 possible for memory heap.
   double **out, cov[NCOVMAX], **pmij();  
   double **newm;    h Pij x                         | pij_nom  ficrestpij
   double agefin, delaymax=50 ; /* Max number of years to converge */     # Cov Agex agex+h hpijx with i,j= 1-1 1-2     1-3     2-1     2-2     2-3
          1  85   85    1.00000             0.00000 0.00000 0.00000 1.00000 0.00000
   for (ii=1;ii<=nlstate+ndeath;ii++)         1  85   86    0.68299             0.22291 0.09410 0.71093 0.00000 0.28907
     for (j=1;j<=nlstate+ndeath;j++){  
       oldm[ii][j]=(ii==j ? 1.0 : 0.0);         1  65   99    0.00364             0.00322 0.99314 0.00350 0.00310 0.99340
     }         1  65  100    0.00214             0.00204 0.99581 0.00206 0.00196 0.99597
     variance of p one-step probabilities varprob  | prob_nom   ficresprob #One-step probabilities and stand. devi in ()
    cov[1]=1.;     Standard deviation of one-step probabilities | probcor_nom   ficresprobcor #One-step probabilities and correlation matrix
       Matrix of variance covariance of one-step probabilities |  probcov_nom ficresprobcov #One-step probabilities and covariance matrix
  /* Even if hstepm = 1, at least one multiplication by the unit matrix */  
   for(agefin=age-stepm/YEARM; agefin>=age-delaymax; agefin=agefin-stepm/YEARM){    forecasting if prevfcast==1 prevforecast call prevalence()
     newm=savm;    health expectancies
     /* Covariates have to be included here again */    Variance-covariance of DFLE
      cov[2]=agefin;    prevalence()
       movingaverage()
       for (k=1; k<=cptcovn;k++) {    varevsij() 
         cov[2+k]=nbcode[Tvar[k]][codtab[ij][Tvar[k]]];    if popbased==1 varevsij(,popbased)
         /*      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]]);*/    total life expectancies
       }    Variance of period (stable) prevalence
       for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2];   end
       for (k=1; k<=cptcovprod;k++)  */
         cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]]*nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]];  
   /* #define DEBUG */
       /*printf("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/  /* #define DEBUGBRENT */
       /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/  /* #define DEBUGLINMIN */
       /*printf("ij=%d cov[3]=%lf \n",ij, cov[3]);*/  /* #define DEBUGHESS */
     out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm);  #define DEBUGHESSIJ
   /* #define LINMINORIGINAL  /\* Don't use loop on scale in linmin (accepting nan)*\/ */
     savm=oldm;  #define POWELL /* Instead of NLOPT */
     oldm=newm;  #define POWELLF1F3 /* Skip test */
     maxmax=0.;  /* #define POWELLORIGINAL /\* Don't use Directest to decide new direction but original Powell test *\/ */
     for(j=1;j<=nlstate;j++){  /* #define MNBRAKORIGINAL /\* Don't use mnbrak fix *\/ */
       min=1.;  
       max=0.;  #include <math.h>
       for(i=1; i<=nlstate; i++) {  #include <stdio.h>
         sumnew=0;  #include <stdlib.h>
         for(k=1; k<=ndeath; k++) sumnew+=newm[i][nlstate+k];  #include <string.h>
         prlim[i][j]= newm[i][j]/(1-sumnew);  
         max=FMAX(max,prlim[i][j]);  #ifdef _WIN32
         min=FMIN(min,prlim[i][j]);  #include <io.h>
       }  #include <windows.h>
       maxmin=max-min;  #include <tchar.h>
       maxmax=FMAX(maxmax,maxmin);  #else
     }  #include <unistd.h>
     if(maxmax < ftolpl){  #endif
       return prlim;  
     }  #include <limits.h>
   }  #include <sys/types.h>
 }  
   #if defined(__GNUC__)
 /*************** transition probabilities ***************/  #include <sys/utsname.h> /* Doesn't work on Windows */
   #endif
 double **pmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )  
 {  #include <sys/stat.h>
   double s1, s2;  #include <errno.h>
   /*double t34;*/  /* extern int errno; */
   int i,j,j1, nc, ii, jj;  
   /* #ifdef LINUX */
     for(i=1; i<= nlstate; i++){  /* #include <time.h> */
     for(j=1; j<i;j++){  /* #include "timeval.h" */
       for (nc=1, s2=0.;nc <=ncovmodel; nc++){  /* #else */
         /*s2 += param[i][j][nc]*cov[nc];*/  /* #include <sys/time.h> */
         s2 += x[(i-1)*nlstate*ncovmodel+(j-1)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];  /* #endif */
         /*printf("Int j<i s1=%.17e, s2=%.17e\n",s1,s2);*/  
       }  #include <time.h>
       ps[i][j]=s2;  
       /*printf("s1=%.17e, s2=%.17e\n",s1,s2);*/  #ifdef GSL
     }  #include <gsl/gsl_errno.h>
     for(j=i+1; j<=nlstate+ndeath;j++){  #include <gsl/gsl_multimin.h>
       for (nc=1, s2=0.;nc <=ncovmodel; nc++){  #endif
         s2 += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];  
         /*printf("Int j>i s1=%.17e, s2=%.17e %lx %lx\n",s1,s2,s1,s2);*/  
       }  #ifdef NLOPT
       ps[i][j]=s2;  #include <nlopt.h>
     }  typedef struct {
   }    double (* function)(double [] );
     /*ps[3][2]=1;*/  } myfunc_data ;
   #endif
   for(i=1; i<= nlstate; i++){  
      s1=0;  /* #include <libintl.h> */
     for(j=1; j<i; j++)  /* #define _(String) gettext (String) */
       s1+=exp(ps[i][j]);  
     for(j=i+1; j<=nlstate+ndeath; j++)  #define MAXLINE 1024 /* Was 256. Overflow with 312 with 2 states and 4 covariates. Should be ok */
       s1+=exp(ps[i][j]);  
     ps[i][i]=1./(s1+1.);  #define GNUPLOTPROGRAM "gnuplot"
     for(j=1; j<i; j++)  /*#define GNUPLOTPROGRAM "..\\gp37mgw\\wgnuplot"*/
       ps[i][j]= exp(ps[i][j])*ps[i][i];  #define FILENAMELENGTH 132
     for(j=i+1; j<=nlstate+ndeath; j++)  
       ps[i][j]= exp(ps[i][j])*ps[i][i];  #define GLOCK_ERROR_NOPATH              -1      /* empty path */
     /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */  #define GLOCK_ERROR_GETCWD              -2      /* cannot get cwd */
   } /* end i */  
   #define MAXPARM 128 /**< Maximum number of parameters for the optimization */
   for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){  #define NPARMAX 64 /**< (nlstate+ndeath-1)*nlstate*ncovmodel */
     for(jj=1; jj<= nlstate+ndeath; jj++){  
       ps[ii][jj]=0;  #define NINTERVMAX 8
       ps[ii][ii]=1;  #define NLSTATEMAX 8 /**< Maximum number of live states (for func) */
     }  #define NDEATHMAX 8 /**< Maximum number of dead states (for func) */
   }  #define NCOVMAX 20 /**< Maximum number of covariates, including generated covariates V1*V2 */
   #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)*/
   /*   for(ii=1; ii<= nlstate+ndeath; ii++){  #define decodtabm(h,k,cptcoveff) (((h-1) >> (k-1)) & 1) +1 
     for(jj=1; jj<= nlstate+ndeath; jj++){  #define MAXN 20000
      printf("%lf ",ps[ii][jj]);  #define YEARM 12. /**< Number of months per year */
    }  /* #define AGESUP 130 */
     printf("\n ");  #define AGESUP 150
     }  #define AGEMARGE 25 /* Marge for agemin and agemax for(iage=agemin-AGEMARGE; iage <= agemax+3+AGEMARGE; iage++) */
     printf("\n ");printf("%lf ",cov[2]);*/  #define AGEBASE 40
 /*  #define AGEOVERFLOW 1.e20
   for(i=1; i<= npar; i++) printf("%f ",x[i]);  #define AGEGOMP 10 /**< Minimal age for Gompertz adjustment */
   goto end;*/  #ifdef _WIN32
     return ps;  #define DIRSEPARATOR '\\'
 }  #define CHARSEPARATOR "\\"
   #define ODIRSEPARATOR '/'
 /**************** Product of 2 matrices ******************/  #else
   #define DIRSEPARATOR '/'
 double **matprod2(double **out, double **in,long nrl, long nrh, long ncl, long nch, long ncolol, long ncoloh, double **b)  #define CHARSEPARATOR "/"
 {  #define ODIRSEPARATOR '\\'
   /* Computes the matrix product of in(1,nrh-nrl+1)(1,nch-ncl+1) times  #endif
      b(1,nch-ncl+1)(1,ncoloh-ncolol+1) into out(...) */  
   /* in, b, out are matrice of pointers which should have been initialized  /* $Id$ */
      before: only the contents of out is modified. The function returns  /* $State$ */
      a pointer to pointers identical to out */  #include "version.h"
   long i, j, k;  char version[]=__IMACH_VERSION__;
   for(i=nrl; i<= nrh; i++)  char copyright[]="October 2015,INED-EUROREVES-Institut de longevite-Japan Society for the Promotion of Science (Grant-in-Aid for Scientific Research 25293121), Intel Software 2015";
     for(k=ncolol; k<=ncoloh; k++)  char fullversion[]="$Revision$ $Date$"; 
       for(j=ncl,out[i][k]=0.; j<=nch; j++)  char strstart[80];
         out[i][k] +=in[i][j]*b[j][k];  char optionfilext[10], optionfilefiname[FILENAMELENGTH];
   int erreur=0, nberr=0, nbwarn=0; /* Error number, number of errors number of warnings  */
   return out;  int nagesqr=0, nforce=0; /* nagesqr=1 if model is including age*age, number of forces */
 }  /* Number of covariates model=V2+V1+ V3*age+V2*V4 */
   int cptcovn=0; /**< cptcovn number of covariates added in the model (excepting constant and age and age*product) */
   int cptcovt=0; /**< cptcovt number of covariates added in the model (excepting constant and age) */
 /************* Higher Matrix Product ***************/  int cptcovs=0; /**< cptcovs number of simple covariates V2+V1 =2 */
   int cptcovage=0; /**< Number of covariates with age: V3*age only =1 */
 double ***hpxij(double ***po, int nhstepm, double age, int hstepm, double *x, int nlstate, int stepm, double **oldm, double **savm, int ij )  int cptcovprodnoage=0; /**< Number of covariate products without age */   
 {  int cptcoveff=0; /* Total number of covariates to vary for printing results */
   /* Computes the transition matrix starting at age 'age' over 'nhstepm*hstepm*stepm' month  int cptcov=0; /* Working variable */
      duration (i.e. until  int ncovcombmax=NCOVMAX; /* Maximum calculated number of covariate combination = pow(2, cptcoveff) */
      age (in years)  age+nhstepm*stepm/12) by multiplying nhstepm*hstepm matrices.  int npar=NPARMAX;
      Output is stored in matrix po[i][j][h] for h every 'hstepm' step  int nlstate=2; /* Number of live states */
      (typically every 2 years instead of every month which is too big).  int ndeath=1; /* Number of dead states */
      Model is determined by parameters x and covariates have to be  int ncovmodel=0, ncovcol=0;     /* Total number of covariables including constant a12*1 +b12*x ncovmodel=2 */
      included manually here.  int  nqv=0, ntv=0, nqtv=0;    /* Total number of quantitative variables, time variable (dummy), quantitative and time variable */ 
   int popbased=0;
      */  
   int *wav; /* Number of waves for this individuual 0 is possible */
   int i, j, d, h, k;  int maxwav=0; /* Maxim number of waves */
   double **out, cov[NCOVMAX];  int jmin=0, jmax=0; /* min, max spacing between 2 waves */
   double **newm;  int ijmin=0, ijmax=0; /* Individuals having jmin and jmax */ 
   int gipmx=0, gsw=0; /* Global variables on the number of contributions 
   /* Hstepm could be zero and should return the unit matrix */                     to the likelihood and the sum of weights (done by funcone)*/
   for (i=1;i<=nlstate+ndeath;i++)  int mle=1, weightopt=0;
     for (j=1;j<=nlstate+ndeath;j++){  int **mw; /* mw[mi][i] is number of the mi wave for this individual */
       oldm[i][j]=(i==j ? 1.0 : 0.0);  int **dh; /* dh[mi][i] is number of steps between mi,mi+1 for this individual */
       po[i][j][0]=(i==j ? 1.0 : 0.0);  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. */
   /* Even if hstepm = 1, at least one multiplication by the unit matrix */  int countcallfunc=0;  /* Count the number of calls to func */
   for(h=1; h <=nhstepm; h++){  double jmean=1; /* Mean space between 2 waves */
     for(d=1; d <=hstepm; d++){  double **matprod2(); /* test */
       newm=savm;  double **oldm, **newm, **savm; /* Working pointers to matrices */
       /* Covariates have to be included here again */  double **oldms, **newms, **savms; /* Fixed working pointers to matrices */
       cov[1]=1.;  double   **ddnewms, **ddoldms, **ddsavms; /* for freeing later */
       cov[2]=age+((h-1)*hstepm + (d-1))*stepm/YEARM;  
       for (k=1; k<=cptcovn;k++) cov[2+k]=nbcode[Tvar[k]][codtab[ij][Tvar[k]]];  /*FILE *fic ; */ /* Used in readdata only */
       for (k=1; k<=cptcovage;k++)  FILE *ficpar, *ficparo,*ficres, *ficresp, *ficresphtm, *ficresphtmfr, *ficrespl, *ficresplb,*ficrespij, *ficrespijb, *ficrest,*ficresf, *ficresfb,*ficrespop;
         cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2];  FILE *ficlog, *ficrespow;
       for (k=1; k<=cptcovprod;k++)  int globpr=0; /* Global variable for printing or not */
         cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]]*nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]];  double fretone; /* Only one call to likelihood */
   long ipmx=0; /* Number of contributions */
   double sw; /* Sum of weights */
       /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/  char filerespow[FILENAMELENGTH];
       /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/  char fileresilk[FILENAMELENGTH]; /* File of individual contributions to the likelihood */
       out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath,  FILE *ficresilk;
                    pmij(pmmij,cov,ncovmodel,x,nlstate));  FILE *ficgp,*ficresprob,*ficpop, *ficresprobcov, *ficresprobcor;
       savm=oldm;  FILE *ficresprobmorprev;
       oldm=newm;  FILE *fichtm, *fichtmcov; /* Html File */
     }  FILE *ficreseij;
     for(i=1; i<=nlstate+ndeath; i++)  char filerese[FILENAMELENGTH];
       for(j=1;j<=nlstate+ndeath;j++) {  FILE *ficresstdeij;
         po[i][j][h]=newm[i][j];  char fileresstde[FILENAMELENGTH];
         /*printf("i=%d j=%d h=%d po[i][j][h]=%f ",i,j,h,po[i][j][h]);  FILE *ficrescveij;
          */  char filerescve[FILENAMELENGTH];
       }  FILE  *ficresvij;
   } /* end h */  char fileresv[FILENAMELENGTH];
   return po;  FILE  *ficresvpl;
 }  char fileresvpl[FILENAMELENGTH];
   char title[MAXLINE];
   char optionfile[FILENAMELENGTH], datafile[FILENAMELENGTH],  filerespl[FILENAMELENGTH],  fileresplb[FILENAMELENGTH];
 /*************** log-likelihood *************/  char plotcmd[FILENAMELENGTH], pplotcmd[FILENAMELENGTH];
 double func( double *x)  char tmpout[FILENAMELENGTH],  tmpout2[FILENAMELENGTH]; 
 {  char command[FILENAMELENGTH];
   int i, ii, j, k, mi, d, kk;  int  outcmd=0;
   double l, ll[NLSTATEMAX], cov[NCOVMAX];  
   double **out;  char fileres[FILENAMELENGTH], filerespij[FILENAMELENGTH], filerespijb[FILENAMELENGTH], filereso[FILENAMELENGTH], rfileres[FILENAMELENGTH];
   double sw; /* Sum of weights */  char fileresu[FILENAMELENGTH]; /* fileres without r in front */
   double lli; /* Individual log likelihood */  char filelog[FILENAMELENGTH]; /* Log file */
   long ipmx;  char filerest[FILENAMELENGTH];
   /*extern weight */  char fileregp[FILENAMELENGTH];
   /* We are differentiating ll according to initial status */  char popfile[FILENAMELENGTH];
   /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/  
   /*for(i=1;i<imx;i++)  char optionfilegnuplot[FILENAMELENGTH], optionfilehtm[FILENAMELENGTH], optionfilehtmcov[FILENAMELENGTH] ;
     printf(" %d\n",s[4][i]);  
   */  /* struct timeval start_time, end_time, curr_time, last_time, forecast_time; */
   cov[1]=1.;  /* struct timezone tzp; */
   /* extern int gettimeofday(); */
   for(k=1; k<=nlstate; k++) ll[k]=0.;  struct tm tml, *gmtime(), *localtime();
   for (i=1,ipmx=0, sw=0.; i<=imx; i++){  
     for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];  extern time_t time();
     for(mi=1; mi<= wav[i]-1; mi++){  
       for (ii=1;ii<=nlstate+ndeath;ii++)  struct tm start_time, end_time, curr_time, last_time, forecast_time;
         for (j=1;j<=nlstate+ndeath;j++) oldm[ii][j]=(ii==j ? 1.0 : 0.0);  time_t  rstart_time, rend_time, rcurr_time, rlast_time, rforecast_time; /* raw time */
       for(d=0; d<dh[mi][i]; d++){  struct tm tm;
         newm=savm;  
         cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;  char strcurr[80], strfor[80];
         for (kk=1; kk<=cptcovage;kk++) {  
           cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];  char *endptr;
         }  long lval;
          double dval;
         out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,  
                      1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));  #define NR_END 1
         savm=oldm;  #define FREE_ARG char*
         oldm=newm;  #define FTOL 1.0e-10
          
          #define NRANSI 
       } /* end mult */  #define ITMAX 200 
        
       lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);  #define TOL 2.0e-4 
       /* printf(" %f ",out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);*/  
       ipmx +=1;  #define CGOLD 0.3819660 
       sw += weight[i];  #define ZEPS 1.0e-10 
       ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;  #define SHFT(a,b,c,d) (a)=(b);(b)=(c);(c)=(d); 
     } /* end of wave */  
   } /* end of individual */  #define GOLD 1.618034 
   #define GLIMIT 100.0 
   for(k=1,l=0.; k<=nlstate; k++) l += ll[k];  #define TINY 1.0e-20 
   /* printf("l1=%f l2=%f ",ll[1],ll[2]); */  
   l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */  static double maxarg1,maxarg2;
   return -l;  #define FMAX(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)>(maxarg2)? (maxarg1):(maxarg2))
 }  #define FMIN(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)<(maxarg2)? (maxarg1):(maxarg2))
     
   #define SIGN(a,b) ((b)>0.0 ? fabs(a) : -fabs(a))
 /*********** Maximum Likelihood Estimation ***************/  #define rint(a) floor(a+0.5)
   /* http://www.thphys.uni-heidelberg.de/~robbers/cmbeasy/doc/html/myutils_8h-source.html */
 void mlikeli(FILE *ficres,double p[], int npar, int ncovmodel, int nlstate, double ftol, double (*func)(double []))  #define mytinydouble 1.0e-16
 {  /* #define DEQUAL(a,b) (fabs((a)-(b))<mytinydouble) */
   int i,j, iter;  /* http://www.thphys.uni-heidelberg.de/~robbers/cmbeasy/doc/html/mynrutils_8h-source.html */
   double **xi,*delti;  /* static double dsqrarg; */
   double fret;  /* #define DSQR(a) (DEQUAL((dsqrarg=(a)),0.0) ? 0.0 : dsqrarg*dsqrarg) */
   xi=matrix(1,npar,1,npar);  static double sqrarg;
   for (i=1;i<=npar;i++)  #define SQR(a) ((sqrarg=(a)) == 0.0 ? 0.0 :sqrarg*sqrarg)
     for (j=1;j<=npar;j++)  #define SWAP(a,b) {temp=(a);(a)=(b);(b)=temp;} 
       xi[i][j]=(i==j ? 1.0 : 0.0);  int agegomp= AGEGOMP;
   printf("Powell\n");  fprintf(ficlog,"Powell\n");  
   powell(p,xi,npar,ftol,&iter,&fret,func);  int imx; 
   int stepm=1;
    printf("\n#Number of iterations = %d, -2 Log likelihood = %.12f\n",iter,func(p));  /* Stepm, step in month: minimum step interpolation*/
   fprintf(ficlog,"#Number of iterations = %d, -2 Log likelihood = %.12f \n",iter,func(p));  
   fprintf(ficres,"#Number of iterations = %d, -2 Log likelihood = %.12f \n",iter,func(p));  int estepm;
   /* Estepm, step in month to interpolate survival function in order to approximate Life Expectancy*/
 }  
   int m,nb;
 /**** Computes Hessian and covariance matrix ***/  long *num;
 void hesscov(double **matcov, double p[], int npar, double delti[], double ftolhess, double (*func)(double []))  int firstpass=0, lastpass=4,*cod, *cens;
 {  int *ncodemax;  /* ncodemax[j]= Number of modalities of the j th
   double  **a,**y,*x,pd;                     covariate for which somebody answered excluding 
   double **hess;                     undefined. Usually 2: 0 and 1. */
   int i, j,jk;  int *ncodemaxwundef;  /* ncodemax[j]= Number of modalities of the j th
   int *indx;                               covariate for which somebody answered including 
                                undefined. Usually 3: -1, 0 and 1. */
   double hessii(double p[], double delta, int theta, double delti[]);  double **agev,*moisnais, *annais, *moisdc, *andc,**mint, **anint;
   double hessij(double p[], double delti[], int i, int j);  double **pmmij, ***probs; /* Global pointer */
   void lubksb(double **a, int npar, int *indx, double b[]) ;  double ***mobaverage, ***mobaverages; /* New global variable */
   void ludcmp(double **a, int npar, int *indx, double *d) ;  double *ageexmed,*agecens;
   double dateintmean=0;
   hess=matrix(1,npar,1,npar);  
   double *weight;
   printf("\nCalculation of the hessian matrix. Wait...\n");  int **s; /* Status */
   fprintf(ficlog,"\nCalculation of the hessian matrix. Wait...\n");  double *agedc;
   for (i=1;i<=npar;i++){  double  **covar; /**< covar[j,i], value of jth covariate for individual i,
     printf("%d",i);fflush(stdout);                    * covar=matrix(0,NCOVMAX,1,n); 
     fprintf(ficlog,"%d",i);fflush(ficlog);                    * cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*age; */
     hess[i][i]=hessii(p,ftolhess,i,delti);  double ***cotvar; /* Time varying covariate */
     /*printf(" %f ",p[i]);*/  double ***cotqvar; /* Time varying quantitative covariate */
     /*printf(" %lf ",hess[i][i]);*/  double **coqvar; /* Fixed quantitative covariate */
   }  double  idx; 
    int **nbcode, *Tvar; /**< model=V2 => Tvar[1]= 2 */
   for (i=1;i<=npar;i++) {  int *Tage;
     for (j=1;j<=npar;j++)  {  int *Ndum; /** Freq of modality (tricode */
       if (j>i) {  /* int **codtab;*/ /**< codtab=imatrix(1,100,1,10); */
         printf(".%d%d",i,j);fflush(stdout);  int **Tvard, *Tprod, cptcovprod, *Tvaraff, *invalidvarcomb;
         fprintf(ficlog,".%d%d",i,j);fflush(ficlog);  double *lsurv, *lpop, *tpop;
         hess[i][j]=hessij(p,delti,i,j);  
         hess[j][i]=hess[i][j];      double ftol=FTOL; /**< Tolerance for computing Max Likelihood */
         /*printf(" %lf ",hess[i][j]);*/  double ftolhess; /**< Tolerance for computing hessian */
       }  
     }  /**************** split *************************/
   }  static  int split( char *path, char *dirc, char *name, char *ext, char *finame )
   printf("\n");  {
   fprintf(ficlog,"\n");    /* From a file name with (full) path (either Unix or Windows) we extract the directory (dirc)
        the name of the file (name), its extension only (ext) and its first part of the name (finame)
   printf("\nInverting the hessian to get the covariance matrix. Wait...\n");    */ 
   fprintf(ficlog,"\nInverting the hessian to get the covariance matrix. Wait...\n");    char  *ss;                            /* pointer */
      int   l1=0, l2=0;                             /* length counters */
   a=matrix(1,npar,1,npar);  
   y=matrix(1,npar,1,npar);    l1 = strlen(path );                   /* length of path */
   x=vector(1,npar);    if ( l1 == 0 ) return( GLOCK_ERROR_NOPATH );
   indx=ivector(1,npar);    ss= strrchr( path, DIRSEPARATOR );            /* find last / */
   for (i=1;i<=npar;i++)    if ( ss == NULL ) {                   /* no directory, so determine current directory */
     for (j=1;j<=npar;j++) a[i][j]=hess[i][j];      strcpy( name, path );               /* we got the fullname name because no directory */
   ludcmp(a,npar,indx,&pd);      /*if(strrchr(path, ODIRSEPARATOR )==NULL)
         printf("Warning you should use %s as a separator\n",DIRSEPARATOR);*/
   for (j=1;j<=npar;j++) {      /* get current working directory */
     for (i=1;i<=npar;i++) x[i]=0;      /*    extern  char* getcwd ( char *buf , int len);*/
     x[j]=1;  #ifdef WIN32
     lubksb(a,npar,indx,x);      if (_getcwd( dirc, FILENAME_MAX ) == NULL ) {
     for (i=1;i<=npar;i++){  #else
       matcov[i][j]=x[i];          if (getcwd(dirc, FILENAME_MAX) == NULL) {
     }  #endif
   }        return( GLOCK_ERROR_GETCWD );
       }
   printf("\n#Hessian matrix#\n");      /* got dirc from getcwd*/
   fprintf(ficlog,"\n#Hessian matrix#\n");      printf(" DIRC = %s \n",dirc);
   for (i=1;i<=npar;i++) {    } else {                              /* strip directory from path */
     for (j=1;j<=npar;j++) {      ss++;                               /* after this, the filename */
       printf("%.3e ",hess[i][j]);      l2 = strlen( ss );                  /* length of filename */
       fprintf(ficlog,"%.3e ",hess[i][j]);      if ( l2 == 0 ) return( GLOCK_ERROR_NOPATH );
     }      strcpy( name, ss );         /* save file name */
     printf("\n");      strncpy( dirc, path, l1 - l2 );     /* now the directory */
     fprintf(ficlog,"\n");      dirc[l1-l2] = '\0';                 /* add zero */
   }      printf(" DIRC2 = %s \n",dirc);
     }
   /* Recompute Inverse */    /* We add a separator at the end of dirc if not exists */
   for (i=1;i<=npar;i++)    l1 = strlen( dirc );                  /* length of directory */
     for (j=1;j<=npar;j++) a[i][j]=matcov[i][j];    if( dirc[l1-1] != DIRSEPARATOR ){
   ludcmp(a,npar,indx,&pd);      dirc[l1] =  DIRSEPARATOR;
       dirc[l1+1] = 0; 
   /*  printf("\n#Hessian matrix recomputed#\n");      printf(" DIRC3 = %s \n",dirc);
     }
   for (j=1;j<=npar;j++) {    ss = strrchr( name, '.' );            /* find last / */
     for (i=1;i<=npar;i++) x[i]=0;    if (ss >0){
     x[j]=1;      ss++;
     lubksb(a,npar,indx,x);      strcpy(ext,ss);                     /* save extension */
     for (i=1;i<=npar;i++){      l1= strlen( name);
       y[i][j]=x[i];      l2= strlen(ss)+1;
       printf("%.3e ",y[i][j]);      strncpy( finame, name, l1-l2);
       fprintf(ficlog,"%.3e ",y[i][j]);      finame[l1-l2]= 0;
     }    }
     printf("\n");  
     fprintf(ficlog,"\n");    return( 0 );                          /* we're done */
   }  }
   */  
   
   free_matrix(a,1,npar,1,npar);  /******************************************/
   free_matrix(y,1,npar,1,npar);  
   free_vector(x,1,npar);  void replace_back_to_slash(char *s, char*t)
   free_ivector(indx,1,npar);  {
   free_matrix(hess,1,npar,1,npar);    int i;
     int lg=0;
     i=0;
 }    lg=strlen(t);
     for(i=0; i<= lg; i++) {
 /*************** hessian matrix ****************/      (s[i] = t[i]);
 double hessii( double x[], double delta, int theta, double delti[])      if (t[i]== '\\') s[i]='/';
 {    }
   int i;  }
   int l=1, lmax=20;  
   double k1,k2;  char *trimbb(char *out, char *in)
   double p2[NPARMAX+1];  { /* Trim multiple blanks in line but keeps first blanks if line starts with blanks */
   double res;    char *s;
   double delt, delts, nkhi=10.,nkhif=1., khi=1.e-4;    s=out;
   double fx;    while (*in != '\0'){
   int k=0,kmax=10;      while( *in == ' ' && *(in+1) == ' '){ /* && *(in+1) != '\0'){*/
   double l1;        in++;
       }
   fx=func(x);      *out++ = *in++;
   for (i=1;i<=npar;i++) p2[i]=x[i];    }
   for(l=0 ; l <=lmax; l++){    *out='\0';
     l1=pow(10,l);    return s;
     delts=delt;  }
     for(k=1 ; k <kmax; k=k+1){  
       delt = delta*(l1*k);  /* char *substrchaine(char *out, char *in, char *chain) */
       p2[theta]=x[theta] +delt;  /* { */
       k1=func(p2)-fx;  /*   /\* Substract chain 'chain' from 'in', return and output 'out' *\/ */
       p2[theta]=x[theta]-delt;  /*   char *s, *t; */
       k2=func(p2)-fx;  /*   t=in;s=out; */
       /*res= (k1-2.0*fx+k2)/delt/delt; */  /*   while ((*in != *chain) && (*in != '\0')){ */
       res= (k1+k2)/delt/delt/2.; /* Divided by because L and not 2*L */  /*     *out++ = *in++; */
        /*   } */
 #ifdef DEBUG  
       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);  /*   /\* *in matches *chain *\/ */
       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);  /*   while ((*in++ == *chain++) && (*in != '\0')){ */
 #endif  /*     printf("*in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
       /*if(fabs(k1-2.0*fx+k2) <1.e-13){ */  /*   } */
       if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)){  /*   in--; chain--; */
         k=kmax;  /*   while ( (*in != '\0')){ */
       }  /*     printf("Bef *in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
       else if((k1 >khi/nkhif) || (k2 >khi/nkhif)){ /* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. */  /*     *out++ = *in++; */
         k=kmax; l=lmax*10.;  /*     printf("Aft *in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
       }  /*   } */
       else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){  /*   *out='\0'; */
         delts=delt;  /*   out=s; */
       }  /*   return out; */
     }  /* } */
   }  char *substrchaine(char *out, char *in, char *chain)
   delti[theta]=delts;  {
   return res;    /* Substract chain 'chain' from 'in', return and output 'out' */
      /* in="V1+V1*age+age*age+V2", chain="age*age" */
 }  
     char *strloc;
 double hessij( double x[], double delti[], int thetai,int thetaj)  
 {    strcpy (out, in); 
   int i;    strloc = strstr(out, chain); /* strloc points to out at age*age+V2 */
   int l=1, l1, lmax=20;    printf("Bef strloc=%s chain=%s out=%s \n", strloc, chain, out);
   double k1,k2,k3,k4,res,fx;    if(strloc != NULL){ 
   double p2[NPARMAX+1];      /* will affect out */ /* strloc+strlenc(chain)=+V2 */ /* Will also work in Unicode */
   int k;      memmove(strloc,strloc+strlen(chain), strlen(strloc+strlen(chain))+1);
       /* strcpy (strloc, strloc +strlen(chain));*/
   fx=func(x);    }
   for (k=1; k<=2; k++) {    printf("Aft strloc=%s chain=%s in=%s out=%s \n", strloc, chain, in, out);
     for (i=1;i<=npar;i++) p2[i]=x[i];    return out;
     p2[thetai]=x[thetai]+delti[thetai]/k;  }
     p2[thetaj]=x[thetaj]+delti[thetaj]/k;  
     k1=func(p2)-fx;  
    char *cutl(char *blocc, char *alocc, char *in, char occ)
     p2[thetai]=x[thetai]+delti[thetai]/k;  {
     p2[thetaj]=x[thetaj]-delti[thetaj]/k;    /* cuts string in into blocc and alocc where blocc ends before FIRST occurence of char 'occ' 
     k2=func(p2)-fx;       and alocc starts after first occurence of char 'occ' : ex cutv(blocc,alocc,"abcdef2ghi2j",'2')
         gives blocc="abcdef" and alocc="ghi2j".
     p2[thetai]=x[thetai]-delti[thetai]/k;       If occ is not found blocc is null and alocc is equal to in. Returns blocc
     p2[thetaj]=x[thetaj]+delti[thetaj]/k;    */
     k3=func(p2)-fx;    char *s, *t;
      t=in;s=in;
     p2[thetai]=x[thetai]-delti[thetai]/k;    while ((*in != occ) && (*in != '\0')){
     p2[thetaj]=x[thetaj]-delti[thetaj]/k;      *alocc++ = *in++;
     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( *in == occ){
 #ifdef DEBUG      *(alocc)='\0';
     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);      s=++in;
     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 (s == t) {/* occ not found */
   return res;      *(alocc-(in-s))='\0';
 }      in=s;
     }
 /************** Inverse of matrix **************/    while ( *in != '\0'){
 void ludcmp(double **a, int n, int *indx, double *d)      *blocc++ = *in++;
 {    }
   int i,imax,j,k;  
   double big,dum,sum,temp;    *blocc='\0';
   double *vv;    return t;
    }
   vv=vector(1,n);  char *cutv(char *blocc, char *alocc, char *in, char occ)
   *d=1.0;  {
   for (i=1;i<=n;i++) {    /* cuts string in into blocc and alocc where blocc ends before LAST occurence of char 'occ' 
     big=0.0;       and alocc starts after last occurence of char 'occ' : ex cutv(blocc,alocc,"abcdef2ghi2j",'2')
     for (j=1;j<=n;j++)       gives blocc="abcdef2ghi" and alocc="j".
       if ((temp=fabs(a[i][j])) > big) big=temp;       If occ is not found blocc is null and alocc is equal to in. Returns alocc
     if (big == 0.0) nrerror("Singular matrix in routine ludcmp");    */
     vv[i]=1.0/big;    char *s, *t;
   }    t=in;s=in;
   for (j=1;j<=n;j++) {    while (*in != '\0'){
     for (i=1;i<j;i++) {      while( *in == occ){
       sum=a[i][j];        *blocc++ = *in++;
       for (k=1;k<i;k++) sum -= a[i][k]*a[k][j];        s=in;
       a[i][j]=sum;      }
     }      *blocc++ = *in++;
     big=0.0;    }
     for (i=j;i<=n;i++) {    if (s == t) /* occ not found */
       sum=a[i][j];      *(blocc-(in-s))='\0';
       for (k=1;k<j;k++)    else
         sum -= a[i][k]*a[k][j];      *(blocc-(in-s)-1)='\0';
       a[i][j]=sum;    in=s;
       if ( (dum=vv[i]*fabs(sum)) >= big) {    while ( *in != '\0'){
         big=dum;      *alocc++ = *in++;
         imax=i;    }
       }  
     }    *alocc='\0';
     if (j != imax) {    return s;
       for (k=1;k<=n;k++) {  }
         dum=a[imax][k];  
         a[imax][k]=a[j][k];  int nbocc(char *s, char occ)
         a[j][k]=dum;  {
       }    int i,j=0;
       *d = -(*d);    int lg=20;
       vv[imax]=vv[j];    i=0;
     }    lg=strlen(s);
     indx[j]=imax;    for(i=0; i<= lg; i++) {
     if (a[j][j] == 0.0) a[j][j]=TINY;    if  (s[i] == occ ) j++;
     if (j != n) {    }
       dum=1.0/(a[j][j]);    return j;
       for (i=j+1;i<=n;i++) a[i][j] *= dum;  }
     }  
   }  /* void cutv(char *u,char *v, char*t, char occ) */
   free_vector(vv,1,n);  /* Doesn't work */  /* { */
 ;  /*   /\* 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" *\/ */
 void lubksb(double **a, int n, int *indx, double b[])  /*   int i,lg,j,p=0; */
 {  /*   i=0; */
   int i,ii=0,ip,j;  /*   lg=strlen(t); */
   double sum;  /*   for(j=0; j<=lg-1; j++) { */
    /*     if((t[j]!= occ) && (t[j+1]== occ)) p=j+1; */
   for (i=1;i<=n;i++) {  /*   } */
     ip=indx[i];  
     sum=b[ip];  /*   for(j=0; j<p; j++) { */
     b[ip]=b[i];  /*     (u[j] = t[j]); */
     if (ii)  /*   } */
       for (j=ii;j<=i-1;j++) sum -= a[i][j]*b[j];  /*      u[p]='\0'; */
     else if (sum) ii=i;  
     b[i]=sum;  /*    for(j=0; j<= lg; j++) { */
   }  /*     if (j>=(p+1))(v[j-p-1] = t[j]); */
   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];  #ifdef _WIN32
   }  char * strsep(char **pp, const char *delim)
 }  {
     char *p, *q;
 /************ 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)    if ((p = *pp) == NULL)
 {  /* Some frequencies */      return 0;
      if ((q = strpbrk (p, delim)) != NULL)
   int i, m, jk, k1,i1, j1, bool, z1,z2,j;    {
   int first;      *pp = q + 1;
   double ***freq; /* Frequencies */      *q = '\0';
   double *pp;    }
   double pos, k2, dateintsum=0,k2cpt=0;    else
   FILE *ficresp;      *pp = 0;
   char fileresp[FILENAMELENGTH];    return p;
    }
   pp=vector(1,nlstate);  #endif
   probs= ma3x(1,AGESUP,1,NCOVMAX, 1,NCOVMAX);  
   strcpy(fileresp,"p");  /********************** nrerror ********************/
   strcat(fileresp,fileres);  
   if((ficresp=fopen(fileresp,"w"))==NULL) {  void nrerror(char error_text[])
     printf("Problem with prevalence resultfile: %s\n", fileresp);  {
     fprintf(ficlog,"Problem with prevalence resultfile: %s\n", fileresp);    fprintf(stderr,"ERREUR ...\n");
     exit(0);    fprintf(stderr,"%s\n",error_text);
   }    exit(EXIT_FAILURE);
   freq= ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,agemin,agemax+3);  }
   j1=0;  /*********************** vector *******************/
    double *vector(int nl, int nh)
   j=cptcoveff;  {
   if (cptcovn<1) {j=1;ncodemax[1]=1;}    double *v;
     v=(double *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(double)));
   first=1;    if (!v) nrerror("allocation failure in vector");
     return v-nl+NR_END;
   for(k1=1; k1<=j;k1++){  }
     for(i1=1; i1<=ncodemax[k1];i1++){  
       j1++;  /************************ free vector ******************/
       /*printf("cptcoveff=%d Tvaraff=%d", cptcoveff,Tvaraff[1]);  void free_vector(double*v, int nl, int nh)
         scanf("%d", i);*/  {
       for (i=-1; i<=nlstate+ndeath; i++)      free((FREE_ARG)(v+nl-NR_END));
         for (jk=-1; jk<=nlstate+ndeath; jk++)    }
           for(m=agemin; m <= agemax+3; m++)  
             freq[i][jk][m]=0;  /************************ivector *******************************/
        int *ivector(long nl,long nh)
       dateintsum=0;  {
       k2cpt=0;    int *v;
       for (i=1; i<=imx; i++) {    v=(int *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(int)));
         bool=1;    if (!v) nrerror("allocation failure in ivector");
         if  (cptcovn>0) {    return v-nl+NR_END;
           for (z1=1; z1<=cptcoveff; z1++)  }
             if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtab[j1][z1]])  
               bool=0;  /******************free ivector **************************/
         }  void free_ivector(int *v, long nl, long nh)
         if (bool==1) {  {
           for(m=firstpass; m<=lastpass; m++){    free((FREE_ARG)(v+nl-NR_END));
             k2=anint[m][i]+(mint[m][i]/12.);  }
             if ((k2>=dateprev1) && (k2<=dateprev2)) {  
               if(agev[m][i]==0) agev[m][i]=agemax+1;  /************************lvector *******************************/
               if(agev[m][i]==1) agev[m][i]=agemax+2;  long *lvector(long nl,long nh)
               if (m<lastpass) {  {
                 freq[s[m][i]][s[m+1][i]][(int)agev[m][i]] += weight[i];    long *v;
                 freq[s[m][i]][s[m+1][i]][(int) agemax+3] += weight[i];    v=(long *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(long)));
               }    if (!v) nrerror("allocation failure in ivector");
                  return v-nl+NR_END;
               if ((agev[m][i]>1) && (agev[m][i]< (agemax+3))) {  }
                 dateintsum=dateintsum+k2;  
                 k2cpt++;  /******************free lvector **************************/
               }  void free_lvector(long *v, long nl, long nh)
             }  {
           }    free((FREE_ARG)(v+nl-NR_END));
         }  }
       }  
          /******************* imatrix *******************************/
       fprintf(ficresp, "#Count between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);  int **imatrix(long nrl, long nrh, long ncl, long nch) 
        /* allocate a int matrix with subscript range m[nrl..nrh][ncl..nch] */ 
       if  (cptcovn>0) {  { 
         fprintf(ficresp, "\n#********** Variable ");    long i, nrow=nrh-nrl+1,ncol=nch-ncl+1; 
         for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresp, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);    int **m; 
         fprintf(ficresp, "**********\n#");    
       }    /* allocate pointers to rows */ 
       for(i=1; i<=nlstate;i++)    m=(int **) malloc((size_t)((nrow+NR_END)*sizeof(int*))); 
         fprintf(ficresp, " Age Prev(%d) N(%d) N",i,i);    if (!m) nrerror("allocation failure 1 in matrix()"); 
       fprintf(ficresp, "\n");    m += NR_END; 
          m -= nrl; 
       for(i=(int)agemin; i <= (int)agemax+3; i++){    
         if(i==(int)agemax+3){    
           fprintf(ficlog,"Total");    /* allocate rows and set pointers to them */ 
         }else{    m[nrl]=(int *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(int))); 
           if(first==1){    if (!m[nrl]) nrerror("allocation failure 2 in matrix()"); 
             first=0;    m[nrl] += NR_END; 
             printf("See log file for details...\n");    m[nrl] -= ncl; 
           }    
           fprintf(ficlog,"Age %d", i);    for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol; 
         }    
         for(jk=1; jk <=nlstate ; jk++){    /* return pointer to array of pointers to rows */ 
           for(m=-1, pp[jk]=0; m <=nlstate+ndeath ; m++)    return m; 
             pp[jk] += freq[jk][m][i];  } 
         }  
         for(jk=1; jk <=nlstate ; jk++){  /****************** free_imatrix *************************/
           for(m=-1, pos=0; m <=0 ; m++)  void free_imatrix(m,nrl,nrh,ncl,nch)
             pos += freq[jk][m][i];        int **m;
           if(pp[jk]>=1.e-10){        long nch,ncl,nrh,nrl; 
             if(first==1){       /* free an int matrix allocated by imatrix() */ 
             printf(" %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);  { 
             }    free((FREE_ARG) (m[nrl]+ncl-NR_END)); 
             fprintf(ficlog," %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);    free((FREE_ARG) (m+nrl-NR_END)); 
           }else{  } 
             if(first==1)  
               printf(" %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);  /******************* matrix *******************************/
             fprintf(ficlog," %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);  double **matrix(long nrl, long nrh, long ncl, long nch)
           }  {
         }    long i, nrow=nrh-nrl+1, ncol=nch-ncl+1;
     double **m;
         for(jk=1; jk <=nlstate ; jk++){  
           for(m=0, pp[jk]=0; m <=nlstate+ndeath; m++)    m=(double **) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
             pp[jk] += freq[jk][m][i];    if (!m) nrerror("allocation failure 1 in matrix()");
         }    m += NR_END;
     m -= nrl;
         for(jk=1,pos=0; jk <=nlstate ; jk++)  
           pos += pp[jk];    m[nrl]=(double *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
         for(jk=1; jk <=nlstate ; jk++){    if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
           if(pos>=1.e-5){    m[nrl] += NR_END;
             if(first==1)    m[nrl] -= ncl;
               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);    for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
           }else{    return m;
             if(first==1)    /* print *(*(m+1)+70) or print m[1][70]; print m+1 or print &(m[1]) or &(m[1][0])
               printf(" %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);  m[i] = address of ith row of the table. &(m[i]) is its value which is another adress
             fprintf(ficlog," %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);  that of m[i][0]. In order to get the value p m[i][0] but it is unitialized.
           }     */
           if( i <= (int) agemax){  }
             if(pos>=1.e-5){  
               fprintf(ficresp," %d %.5f %.0f %.0f",i,pp[jk]/pos, pp[jk],pos);  /*************************free matrix ************************/
               probs[i][jk][j1]= pp[jk]/pos;  void free_matrix(double **m, long nrl, long nrh, long ncl, long nch)
               /*printf("\ni=%d jk=%d j1=%d %.5f %.0f %.0f %f",i,jk,j1,pp[jk]/pos, pp[jk],pos,probs[i][jk][j1]);*/  {
             }    free((FREE_ARG)(m[nrl]+ncl-NR_END));
             else    free((FREE_ARG)(m+nrl-NR_END));
               fprintf(ficresp," %d NaNq %.0f %.0f",i,pp[jk],pos);  }
           }  
         }  /******************* ma3x *******************************/
          double ***ma3x(long nrl, long nrh, long ncl, long nch, long nll, long nlh)
         for(jk=-1; jk <=nlstate+ndeath; jk++)  {
           for(m=-1; m <=nlstate+ndeath; m++)    long i, j, nrow=nrh-nrl+1, ncol=nch-ncl+1, nlay=nlh-nll+1;
             if(freq[jk][m][i] !=0 ) {    double ***m;
             if(first==1)  
               printf(" %d%d=%.0f",jk,m,freq[jk][m][i]);    m=(double ***) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
               fprintf(ficlog," %d%d=%.0f",jk,m,freq[jk][m][i]);    if (!m) nrerror("allocation failure 1 in matrix()");
             }    m += NR_END;
         if(i <= (int) agemax)    m -= nrl;
           fprintf(ficresp,"\n");  
         if(first==1)    m[nrl]=(double **) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
           printf("Others in log...\n");    if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
         fprintf(ficlog,"\n");    m[nrl] += NR_END;
       }    m[nrl] -= ncl;
     }  
   }    for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
   dateintmean=dateintsum/k2cpt;  
      m[nrl][ncl]=(double *) malloc((size_t)((nrow*ncol*nlay+NR_END)*sizeof(double)));
   fclose(ficresp);    if (!m[nrl][ncl]) nrerror("allocation failure 3 in matrix()");
   free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath,(int) agemin,(int) agemax+3);    m[nrl][ncl] += NR_END;
   free_vector(pp,1,nlstate);    m[nrl][ncl] -= nll;
      for (j=ncl+1; j<=nch; j++) 
   /* End of Freq */      m[nrl][j]=m[nrl][j-1]+nlay;
 }    
     for (i=nrl+1; i<=nrh; i++) {
 /************ Prevalence ********************/      m[i][ncl]=m[i-1l][ncl]+ncol*nlay;
 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)      for (j=ncl+1; j<=nch; j++) 
 {  /* Some frequencies */        m[i][j]=m[i][j-1]+nlay;
      }
   int i, m, jk, k1, i1, j1, bool, z1,z2,j;    return m; 
   double ***freq; /* Frequencies */    /*  gdb: p *(m+1) <=> p m[1] and p (m+1) <=> p (m+1) <=> p &(m[1])
   double *pp;             &(m[i][j][k]) <=> *((*(m+i) + j)+k)
   double pos, k2;    */
   }
   pp=vector(1,nlstate);  
   probs= ma3x(1,AGESUP,1,NCOVMAX, 1,NCOVMAX);  /*************************free ma3x ************************/
    void free_ma3x(double ***m, long nrl, long nrh, long ncl, long nch,long nll, long nlh)
   freq=ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,agemin,agemax+3);  {
   j1=0;    free((FREE_ARG)(m[nrl][ncl]+ nll-NR_END));
      free((FREE_ARG)(m[nrl]+ncl-NR_END));
   j=cptcoveff;    free((FREE_ARG)(m+nrl-NR_END));
   if (cptcovn<1) {j=1;ncodemax[1]=1;}  }
    
   for(k1=1; k1<=j;k1++){  /*************** function subdirf ***********/
     for(i1=1; i1<=ncodemax[k1];i1++){  char *subdirf(char fileres[])
       j1++;  {
          /* Caution optionfilefiname is hidden */
       for (i=-1; i<=nlstate+ndeath; i++)      strcpy(tmpout,optionfilefiname);
         for (jk=-1; jk<=nlstate+ndeath; jk++)      strcat(tmpout,"/"); /* Add to the right */
           for(m=agemin; m <= agemax+3; m++)    strcat(tmpout,fileres);
             freq[i][jk][m]=0;    return tmpout;
        }
       for (i=1; i<=imx; i++) {  
         bool=1;  /*************** function subdirf2 ***********/
         if  (cptcovn>0) {  char *subdirf2(char fileres[], char *preop)
           for (z1=1; z1<=cptcoveff; z1++)  {
             if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtab[j1][z1]])    
               bool=0;    /* Caution optionfilefiname is hidden */
         }    strcpy(tmpout,optionfilefiname);
         if (bool==1) {    strcat(tmpout,"/");
           for(m=firstpass; m<=lastpass; m++){    strcat(tmpout,preop);
             k2=anint[m][i]+(mint[m][i]/12.);    strcat(tmpout,fileres);
             if ((k2>=dateprev1) && (k2<=dateprev2)) {    return tmpout;
               if(agev[m][i]==0) agev[m][i]=agemax+1;  }
               if(agev[m][i]==1) agev[m][i]=agemax+2;  
               if (m<lastpass) {  /*************** function subdirf3 ***********/
                 if (calagedate>0)  char *subdirf3(char fileres[], char *preop, char *preop2)
                   freq[s[m][i]][s[m+1][i]][(int)(agev[m][i]+1-((int)calagedate %12)/12.)] += weight[i];  {
                 else    
                   freq[s[m][i]][s[m+1][i]][(int)agev[m][i]] += weight[i];    /* Caution optionfilefiname is hidden */
                 freq[s[m][i]][s[m+1][i]][(int)(agemax+3)] += weight[i];    strcpy(tmpout,optionfilefiname);
               }    strcat(tmpout,"/");
             }    strcat(tmpout,preop);
           }    strcat(tmpout,preop2);
         }    strcat(tmpout,fileres);
       }    return tmpout;
       for(i=(int)agemin; i <= (int)agemax+3; i++){  }
         for(jk=1; jk <=nlstate ; jk++){   
           for(m=-1, pp[jk]=0; m <=nlstate+ndeath ; m++)  /*************** function subdirfext ***********/
             pp[jk] += freq[jk][m][i];  char *subdirfext(char fileres[], char *preop, char *postop)
         }  {
         for(jk=1; jk <=nlstate ; jk++){    
           for(m=-1, pos=0; m <=0 ; m++)    strcpy(tmpout,preop);
             pos += freq[jk][m][i];    strcat(tmpout,fileres);
         }    strcat(tmpout,postop);
            return tmpout;
         for(jk=1; jk <=nlstate ; jk++){  }
           for(m=0, pp[jk]=0; m <=nlstate+ndeath; m++)  
             pp[jk] += freq[jk][m][i];  /*************** function subdirfext3 ***********/
         }  char *subdirfext3(char fileres[], char *preop, char *postop)
          {
         for(jk=1,pos=0; jk <=nlstate ; jk++) pos += pp[jk];    
            /* Caution optionfilefiname is hidden */
         for(jk=1; jk <=nlstate ; jk++){        strcpy(tmpout,optionfilefiname);
           if( i <= (int) agemax){    strcat(tmpout,"/");
             if(pos>=1.e-5){    strcat(tmpout,preop);
               probs[i][jk][j1]= pp[jk]/pos;    strcat(tmpout,fileres);
             }    strcat(tmpout,postop);
           }    return tmpout;
         }/* end jk */  }
       }/* end i */   
     } /* end i1 */  char *asc_diff_time(long time_sec, char ascdiff[])
   } /* end k1 */  {
     long sec_left, days, hours, minutes;
      days = (time_sec) / (60*60*24);
   free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath,(int) agemin,(int) agemax+3);    sec_left = (time_sec) % (60*60*24);
   free_vector(pp,1,nlstate);    hours = (sec_left) / (60*60) ;
      sec_left = (sec_left) %(60*60);
 }  /* End of Freq */    minutes = (sec_left) /60;
     sec_left = (sec_left) % (60);
 /************* Waves Concatenation ***************/    sprintf(ascdiff,"%ld day(s) %ld hour(s) %ld minute(s) %ld second(s)",days, hours, minutes, sec_left);  
     return ascdiff;
 void  concatwav(int wav[], int **dh, int **mw, int **s, double *agedc, double **agev, int  firstpass, int lastpass, int imx, int nlstate, int stepm)  }
 {  
   /* Concatenates waves: wav[i] is the number of effective (useful waves) of individual i.  /***************** f1dim *************************/
      Death is a valid wave (if date is known).  extern int ncom; 
      mw[mi][i] is the mi (mi=1 to wav[i])  effective wave of individual i  extern double *pcom,*xicom;
      dh[m][i] of dh[mw[mi][i][i] is the delay between two effective waves m=mw[mi][i]  extern double (*nrfunc)(double []); 
      and mw[mi+1][i]. dh depends on stepm.   
      */  double f1dim(double x) 
   { 
   int i, mi, m;    int j; 
   /* int j, k=0,jk, ju, jl,jmin=1e+5, jmax=-1;    double f;
      double sum=0., jmean=0.;*/    double *xt; 
   int first;   
   int j, k=0,jk, ju, jl;    xt=vector(1,ncom); 
   double sum=0.;    for (j=1;j<=ncom;j++) xt[j]=pcom[j]+x*xicom[j]; 
   first=0;    f=(*nrfunc)(xt); 
   jmin=1e+5;    free_vector(xt,1,ncom); 
   jmax=-1;    return f; 
   jmean=0.;  } 
   for(i=1; i<=imx; i++){  
     mi=0;  /*****************brent *************************/
     m=firstpass;  double brent(double ax, double bx, double cx, double (*f)(double), double tol,  double *xmin) 
     while(s[m][i] <= nlstate){  {
       if(s[m][i]>=1)    /* Given a function f, and given a bracketing triplet of abscissas ax, bx, cx (such that bx is
         mw[++mi][i]=m;     * between ax and cx, and f(bx) is less than both f(ax) and f(cx) ), this routine isolates
       if(m >=lastpass)     * the minimum to a fractional precision of about tol using Brent’s method. The abscissa of
         break;     * the minimum is returned as xmin, and the minimum function value is returned as brent , the
       else     * returned function value. 
         m++;    */
     }/* end while */    int iter; 
     if (s[m][i] > nlstate){    double a,b,d,etemp;
       mi++;     /* Death is another wave */    double fu=0,fv,fw,fx;
       /* if(mi==0)  never been interviewed correctly before death */    double ftemp=0.;
          /* Only death is a correct wave */    double p,q,r,tol1,tol2,u,v,w,x,xm; 
       mw[mi][i]=m;    double e=0.0; 
     }   
     a=(ax < cx ? ax : cx); 
     wav[i]=mi;    b=(ax > cx ? ax : cx); 
     if(mi==0){    x=w=v=bx; 
       if(first==0){    fw=fv=fx=(*f)(x); 
         printf("Warning, no any valid information for:%d line=%d and may be others, see log file\n",num[i],i);    for (iter=1;iter<=ITMAX;iter++) { 
         first=1;      xm=0.5*(a+b); 
       }      tol2=2.0*(tol1=tol*fabs(x)+ZEPS); 
       if(first==1){      /*          if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret)))*/
         fprintf(ficlog,"Warning, no any valid information for:%d line=%d\n",num[i],i);      printf(".");fflush(stdout);
       }      fprintf(ficlog,".");fflush(ficlog);
     } /* end mi==0 */  #ifdef DEBUGBRENT
   }      printf("br %d,x=%.10e xm=%.10e b=%.10e a=%.10e tol=%.10e tol1=%.10e tol2=%.10e x-xm=%.10e fx=%.12e fu=%.12e,fw=%.12e,ftemp=%.12e,ftol=%.12e\n",iter,x,xm,b,a,tol,tol1,tol2,(x-xm),fx,fu,fw,ftemp,ftol);
       fprintf(ficlog,"br %d,x=%.10e xm=%.10e b=%.10e a=%.10e tol=%.10e tol1=%.10e tol2=%.10e x-xm=%.10e fx=%.12e fu=%.12e,fw=%.12e,ftemp=%.12e,ftol=%.12e\n",iter,x,xm,b,a,tol,tol1,tol2,(x-xm),fx,fu,fw,ftemp,ftol);
   for(i=1; i<=imx; i++){      /*          if ((fabs(x-xm) <= (tol2-0.5*(b-a)))||(2.0*fabs(fu-ftemp) <= ftol*1.e-2*(fabs(fu)+fabs(ftemp)))) { */
     for(mi=1; mi<wav[i];mi++){  #endif
       if (stepm <=0)      if (fabs(x-xm) <= (tol2-0.5*(b-a))){ 
         dh[mi][i]=1;        *xmin=x; 
       else{        return fx; 
         if (s[mw[mi+1][i]][i] > nlstate) {      } 
           if (agedc[i] < 2*AGESUP) {      ftemp=fu;
           j= rint(agedc[i]*12-agev[mw[mi][i]][i]*12);      if (fabs(e) > tol1) { 
           if(j==0) j=1;  /* Survives at least one month after exam */        r=(x-w)*(fx-fv); 
           k=k+1;        q=(x-v)*(fx-fw); 
           if (j >= jmax) jmax=j;        p=(x-v)*q-(x-w)*r; 
           if (j <= jmin) jmin=j;        q=2.0*(q-r); 
           sum=sum+j;        if (q > 0.0) p = -p; 
           /*if (j<0) printf("j=%d num=%d \n",j,i); */        q=fabs(q); 
           }        etemp=e; 
         }        e=d; 
         else{        if (fabs(p) >= fabs(0.5*q*etemp) || p <= q*(a-x) || p >= q*(b-x)) 
           j= rint( (agev[mw[mi+1][i]][i]*12 - agev[mw[mi][i]][i]*12));          d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
           k=k+1;        else { 
           if (j >= jmax) jmax=j;          d=p/q; 
           else if (j <= jmin)jmin=j;          u=x+d; 
           /*        if (j<10) printf("j=%d jmin=%d num=%d ",j,jmin,i); */          if (u-a < tol2 || b-u < tol2) 
           sum=sum+j;            d=SIGN(tol1,xm-x); 
         }        } 
         jk= j/stepm;      } else { 
         jl= j -jk*stepm;        d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
         ju= j -(jk+1)*stepm;      } 
         if(jl <= -ju)      u=(fabs(d) >= tol1 ? x+d : x+SIGN(tol1,d)); 
           dh[mi][i]=jk;      fu=(*f)(u); 
         else      if (fu <= fx) { 
           dh[mi][i]=jk+1;        if (u >= x) a=x; else b=x; 
         if(dh[mi][i]==0)        SHFT(v,w,x,u) 
           dh[mi][i]=1; /* At least one step */        SHFT(fv,fw,fx,fu) 
       }      } else { 
     }        if (u < x) a=u; else b=u; 
   }        if (fu <= fw || w == x) { 
   jmean=sum/k;          v=w; 
   printf("Delay (in months) between two waves Min=%d Max=%d Mean=%f\n\n ",jmin, jmax,jmean);          w=u; 
   fprintf(ficlog,"Delay (in months) between two waves Min=%d Max=%d Mean=%f\n\n ",jmin, jmax,jmean);          fv=fw; 
  }          fw=fu; 
         } else if (fu <= fv || v == x || v == w) { 
 /*********** Tricode ****************************/          v=u; 
 void tricode(int *Tvar, int **nbcode, int imx)          fv=fu; 
 {        } 
   int Ndum[20],ij=1, k, j, i;      } 
   int cptcode=0;    } 
   cptcoveff=0;    nrerror("Too many iterations in brent"); 
      *xmin=x; 
   for (k=0; k<19; k++) Ndum[k]=0;    return fx; 
   for (k=1; k<=7; k++) ncodemax[k]=0;  } 
   
   for (j=1; j<=(cptcovn+2*cptcovprod); j++) {  /****************** mnbrak ***********************/
     for (i=1; i<=imx; i++) {  
       ij=(int)(covar[Tvar[j]][i]);  void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, double *fc, 
       Ndum[ij]++;              double (*func)(double)) 
       /*printf("i=%d ij=%d Ndum[ij]=%d imx=%d",i,ij,Ndum[ij],imx);*/  { /* Given a function func , and given distinct initial points ax and bx , this routine searches in
       if (ij > cptcode) cptcode=ij;  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.
     for (i=0; i<=cptcode; i++) {     */
       if(Ndum[i]!=0) ncodemax[j]++;    double ulim,u,r,q, dum;
     }    double fu; 
     ij=1;  
     double scale=10.;
     int iterscale=0;
     for (i=1; i<=ncodemax[j]; i++) {  
       for (k=0; k<=19; k++) {    *fa=(*func)(*ax); /*  xta[j]=pcom[j]+(*ax)*xicom[j]; fa=f(xta[j])*/
         if (Ndum[k] != 0) {    *fb=(*func)(*bx); /*  xtb[j]=pcom[j]+(*bx)*xicom[j]; fb=f(xtb[j]) */
           nbcode[Tvar[j]][ij]=k;  
            
           ij++;    /* while(*fb != *fb){ /\* *ax should be ok, reducing distance to *ax *\/ */
         }    /*   printf("Warning mnbrak *fb = %lf, *bx=%lf *ax=%lf *fa==%lf iter=%d\n",*fb, *bx, *ax, *fa, iterscale++); */
         if (ij > ncodemax[j]) break;    /*   *bx = *ax - (*ax - *bx)/scale; */
       }      /*   *fb=(*func)(*bx);  /\*  xtb[j]=pcom[j]+(*bx)*xicom[j]; fb=f(xtb[j]) *\/ */
     }    /* } */
   }    
     if (*fb > *fa) { 
  for (k=0; k<19; k++) Ndum[k]=0;      SHFT(dum,*ax,*bx,dum) 
       SHFT(dum,*fb,*fa,dum) 
  for (i=1; i<=ncovmodel-2; i++) {    } 
    ij=Tvar[i];    *cx=(*bx)+GOLD*(*bx-*ax); 
    Ndum[ij]++;    *fc=(*func)(*cx); 
  }  #ifdef DEBUG
     printf("mnbrak0 *fb=%.12e *fc=%.12e\n",*fb,*fc);
  ij=1;    fprintf(ficlog,"mnbrak0 *fb=%.12e *fc=%.12e\n",*fb,*fc);
  for (i=1; i<=10; i++) {  #endif
    if((Ndum[i]!=0) && (i<=ncovcol)){    while (*fb > *fc) { /* Declining a,b,c with fa> fb > fc */
      Tvaraff[ij]=i;      r=(*bx-*ax)*(*fb-*fc); 
      ij++;      q=(*bx-*cx)*(*fb-*fa); 
    }      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 */
  cptcoveff=ij-1;      if ((*bx-u)*(u-*cx) > 0.0) { /* if u_p is between b and c */
 }        fu=(*func)(u); 
   #ifdef DEBUG
 /*********** Health Expectancies ****************/        /* f(x)=A(x-u)**2+f(u) */
         double A, fparabu; 
 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 )        A= (*fb - *fa)/(*bx-*ax)/(*bx+*ax-2*u);
         fparabu= *fa - A*(*ax-u)*(*ax-u);
 {        printf("mnbrak (*ax=%.12f, *fa=%.12lf), (*bx=%.12f, *fb=%.12lf), (*cx=%.12f, *fc=%.12lf),  (*u=%.12f, fu=%.12lf, fparabu=%.12f)\n",*ax,*fa,*bx,*fb,*cx,*fc,u,fu, fparabu);
   /* Health expectancies */        fprintf(ficlog, "mnbrak (*ax=%.12f, *fa=%.12lf), (*bx=%.12f, *fb=%.12lf), (*cx=%.12f, *fc=%.12lf),  (*u=%.12f, fu=%.12lf, fparabu=%.12f)\n",*ax,*fa,*bx,*fb,*cx,*fc,u,fu, fparabu);
   int i, j, nhstepm, hstepm, h, nstepm, k, cptj;        /* And thus,it can be that fu > *fc even if fparabu < *fc */
   double age, agelim, hf;        /* mnbrak (*ax=7.666299858533, *fa=299039.693133272231), (*bx=8.595447774979, *fb=298976.598289369489),
   double ***p3mat,***varhe;          (*cx=10.098840694817, *fc=298946.631474258087),  (*u=9.852501168332, fu=298948.773013752128, fparabu=298945.434711494134) */
   double **dnewm,**doldm;        /* In that case, there is no bracket in the output! Routine is wrong with many consequences.*/
   double *xp;  #endif 
   double **gp, **gm;  #ifdef MNBRAKORIGINAL
   double ***gradg, ***trgradg;  #else
   int theta;  /*       if (fu > *fc) { */
   /* #ifdef DEBUG */
   varhe=ma3x(1,nlstate*2,1,nlstate*2,(int) bage, (int) fage);  /*       printf("mnbrak4  fu > fc \n"); */
   xp=vector(1,npar);  /*       fprintf(ficlog, "mnbrak4 fu > fc\n"); */
   dnewm=matrix(1,nlstate*2,1,npar);  /* #endif */
   doldm=matrix(1,nlstate*2,1,nlstate*2);  /*      /\* 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 *\\/ *\/ */
   fprintf(ficreseij,"# Health expectancies\n");  /*      dum=u; /\* Shifting c and u *\/ */
   fprintf(ficreseij,"# Age");  /*      u = *cx; */
   for(i=1; i<=nlstate;i++)  /*      *cx = dum; */
     for(j=1; j<=nlstate;j++)  /*      dum = fu; */
       fprintf(ficreseij," %1d-%1d (SE)",i,j);  /*      fu = *fc; */
   fprintf(ficreseij,"\n");  /*      *fc =dum; */
   /*       } else { /\* end *\/ */
   if(estepm < stepm){  /* #ifdef DEBUG */
     printf ("Problem %d lower than %d\n",estepm, stepm);  /*       printf("mnbrak3  fu < fc \n"); */
   }  /*       fprintf(ficlog, "mnbrak3 fu < fc\n"); */
   else  hstepm=estepm;    /* #endif */
   /* We compute the life expectancy from trapezoids spaced every estepm months  /*      dum=u; /\* Shifting c and u *\/ */
    * This is mainly to measure the difference between two models: for example  /*      u = *cx; */
    * if stepm=24 months pijx are given only every 2 years and by summing them  /*      *cx = dum; */
    * we are calculating an estimate of the Life Expectancy assuming a linear  /*      dum = fu; */
    * progression inbetween and thus overestimating or underestimating according  /*      fu = *fc; */
    * to the curvature of the survival function. If, for the same date, we  /*      *fc =dum; */
    * 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  #ifdef DEBUG
    * hypothesis. A more precise result, taking into account a more precise        printf("mnbrak34  fu < or >= fc \n");
    * curvature will be obtained if estepm is as small as stepm. */        fprintf(ficlog, "mnbrak34 fu < fc\n");
   #endif
   /* For example we decided to compute the life expectancy with the smallest unit */        dum=u; /* Shifting c and u */
   /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm.        u = *cx;
      nhstepm is the number of hstepm from age to agelim        *cx = dum;
      nstepm is the number of stepm from age to agelin.        dum = fu;
      Look at hpijx to understand the reason of that which relies in memory size        fu = *fc;
      and note for a fixed period like estepm months */        *fc =dum;
   /* We decided (b) to get a life expectancy respecting the most precise curvature of the  #endif
      survival function given by stepm (the optimization length). Unfortunately it      } else if ((*cx-u)*(u-ulim) > 0.0) { /* u is after c but before ulim */
      means that if the survival funtion is printed only each two years of age and if  #ifdef DEBUG
      you sum them up and add 1 year (area under the trapezoids) you won't get the same        printf("mnbrak2  u after c but before ulim\n");
      results. So we changed our mind and took the option of the best precision.        fprintf(ficlog, "mnbrak2 u after c but before ulim\n");
   */  #endif
   hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */        fu=(*func)(u); 
         if (fu < *fc) { 
   agelim=AGESUP;  #ifdef DEBUG
   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */        printf("mnbrak2  u after c but before ulim AND fu < fc\n");
     /* nhstepm age range expressed in number of stepm */        fprintf(ficlog, "mnbrak2 u after c but before ulim AND fu <fc \n");
     nstepm=(int) rint((agelim-age)*YEARM/stepm);  #endif
     /* Typically if 20 years nstepm = 20*12/6=40 stepm */          SHFT(*bx,*cx,u,*cx+GOLD*(*cx-*bx)) 
     /* if (stepm >= YEARM) hstepm=1;*/          SHFT(*fb,*fc,fu,(*func)(u)) 
     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*2);  #ifdef DEBUG
     gp=matrix(0,nhstepm,1,nlstate*2);        printf("mnbrak2  u outside ulim (verifying that ulim is beyond c)\n");
     gm=matrix(0,nhstepm,1,nlstate*2);        fprintf(ficlog, "mnbrak2 u outside ulim (verifying that ulim is beyond c)\n");
   #endif
     /* Computed by stepm unit matrices, product of hstepm matrices, stored        u=ulim; 
        in an array of nhstepm length: nhstepm=10, hstepm=4, stepm=6 months */        fu=(*func)(u); 
     hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm, savm, ij);        } else { /* u could be left to b (if r > q parabola has a maximum) */
    #ifdef DEBUG
         printf("mnbrak2  u could be left to b (if r > q parabola has a maximum)\n");
     hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */        fprintf(ficlog, "mnbrak2  u could be left to b (if r > q parabola has a maximum)\n");
   #endif
     /* Computing Variances of health expectancies */        u=(*cx)+GOLD*(*cx-*bx); 
         fu=(*func)(u); 
      for(theta=1; theta <=npar; theta++){      } /* end tests */
       for(i=1; i<=npar; i++){      SHFT(*ax,*bx,*cx,u) 
         xp[i] = x[i] + (i==theta ?delti[theta]:0);      SHFT(*fa,*fb,*fc,fu) 
       }  #ifdef DEBUG
       hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);          printf("mnbrak2 (*ax=%.12f, *fa=%.12lf), (*bx=%.12f, *fb=%.12lf), (*cx=%.12f, *fc=%.12lf),  (*u=%.12f, fu=%.12lf)\n",*ax,*fa,*bx,*fb,*cx,*fc,u,fu);
          fprintf(ficlog, "mnbrak2 (*ax=%.12f, *fa=%.12lf), (*bx=%.12f, *fb=%.12lf), (*cx=%.12f, *fc=%.12lf),  (*u=%.12f, fu=%.12lf)\n",*ax,*fa,*bx,*fb,*cx,*fc,u,fu);
       cptj=0;  #endif
       for(j=1; j<= nlstate; j++){    } /* end while; ie return (a, b, c, fa, fb, fc) such that a < b < c with f(a) > f(b) and fb < f(c) */
         for(i=1; i<=nlstate; i++){  } 
           cptj=cptj+1;  
           for(h=0, gp[h][cptj]=0.; h<=nhstepm-1; h++){  /*************** linmin ************************/
             gp[h][cptj] = (p3mat[i][j][h]+p3mat[i][j][h+1])/2.;  /* Given an n -dimensional point p[1..n] and an n -dimensional direction xi[1..n] , moves and
           }  resets p to where the function func(p) takes on a minimum along the direction xi from p ,
         }  and replaces xi by the actual vector displacement that p was moved. Also returns as fret
       }  the value of func at the returned location p . This is actually all accomplished by calling the
        routines mnbrak and brent .*/
        int ncom; 
       for(i=1; i<=npar; i++)  double *pcom,*xicom;
         xp[i] = x[i] - (i==theta ?delti[theta]:0);  double (*nrfunc)(double []); 
       hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);     
        void linmin(double p[], double xi[], int n, double *fret,double (*func)(double [])) 
       cptj=0;  { 
       for(j=1; j<= nlstate; j++){    double brent(double ax, double bx, double cx, 
         for(i=1;i<=nlstate;i++){                 double (*f)(double), double tol, double *xmin); 
           cptj=cptj+1;    double f1dim(double x); 
           for(h=0, gm[h][cptj]=0.; h<=nhstepm-1; h++){    void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, 
             gm[h][cptj] = (p3mat[i][j][h]+p3mat[i][j][h+1])/2.;                double *fc, double (*func)(double)); 
           }    int j; 
         }    double xx,xmin,bx,ax; 
       }    double fx,fb,fa;
       for(j=1; j<= nlstate*2; j++)  
         for(h=0; h<=nhstepm-1; h++){  #ifdef LINMINORIGINAL
           gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta];  #else
         }    double scale=10., axs, xxs; /* Scale added for infinity */
      }  #endif
        
 /* End theta */    ncom=n; 
     pcom=vector(1,n); 
      trgradg =ma3x(0,nhstepm,1,nlstate*2,1,npar);    xicom=vector(1,n); 
     nrfunc=func; 
      for(h=0; h<=nhstepm-1; h++)    for (j=1;j<=n;j++) { 
       for(j=1; j<=nlstate*2;j++)      pcom[j]=p[j]; 
         for(theta=1; theta <=npar; theta++)      xicom[j]=xi[j]; /* Former scale xi[j] of currrent direction i */
           trgradg[h][j][theta]=gradg[h][theta][j];    } 
        
   #ifdef LINMINORIGINAL
      for(i=1;i<=nlstate*2;i++)    xx=1.;
       for(j=1;j<=nlstate*2;j++)  #else
         varhe[i][j][(int)age] =0.;    axs=0.0;
     xxs=1.;
      printf("%d|",(int)age);fflush(stdout);    do{
      fprintf(ficlog,"%d|",(int)age);fflush(ficlog);      xx= xxs;
      for(h=0;h<=nhstepm-1;h++){  #endif
       for(k=0;k<=nhstepm-1;k++){      ax=0.;
         matprod2(dnewm,trgradg[h],1,nlstate*2,1,npar,1,npar,matcov);      mnbrak(&ax,&xx,&bx,&fa,&fx,&fb,f1dim);  /* Outputs: xtx[j]=pcom[j]+(*xx)*xicom[j]; fx=f(xtx[j]) */
         matprod2(doldm,dnewm,1,nlstate*2,1,npar,1,nlstate*2,gradg[k]);      /* brackets with inputs ax=0 and xx=1, but points, pcom=p, and directions values, xicom=xi, are sent via f1dim(x) */
         for(i=1;i<=nlstate*2;i++)      /* 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))   */
           for(j=1;j<=nlstate*2;j++)      /* Outputs: fa=f(p(j)) and fx=f(p(j) + xxs * xi(j) ) and f(bx)= f(p(j)+ bx* xi(j)) */
             varhe[i][j][(int)age] += doldm[i][j]*hf*hf;      /* 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) */
     }      /* 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]]*/
     /* Computing expectancies */  #ifdef LINMINORIGINAL
     for(i=1; i<=nlstate;i++)  #else
       for(j=1; j<=nlstate;j++)      if (fx != fx){
         for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){          xxs=xxs/scale; /* Trying a smaller xx, closer to initial ax=0 */
           eij[i][j][(int)age] += (p3mat[i][j][h]+p3mat[i][j][h+1])/2.0*hf;          printf("|");
                    fprintf(ficlog,"|");
 /* 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]);*/  #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);
         }  #endif
       }
     fprintf(ficreseij,"%3.0f",age );    }while(fx != fx);
     cptj=0;  #endif
     for(i=1; i<=nlstate;i++)    
       for(j=1; j<=nlstate;j++){  #ifdef DEBUGLINMIN
         cptj++;    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);
         fprintf(ficreseij," %9.4f (%.4f)", eij[i][j][(int)age], sqrt(varhe[cptj][cptj][(int)age]) );    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);
       }  #endif
     fprintf(ficreseij,"\n");    *fret=brent(ax,xx,bx,f1dim,TOL,&xmin); /* Giving a bracketting triplet (ax, xx, bx), find a minimum, xmin, according to f1dim, *fret(xmin),*/
        /* fa = f(p[j] + ax * xi[j]), fx = f(p[j] + xx * xi[j]), fb = f(p[j] + bx * xi[j]) */
     free_matrix(gm,0,nhstepm,1,nlstate*2);    /* fmin = f(p[j] + xmin * xi[j]) */
     free_matrix(gp,0,nhstepm,1,nlstate*2);    /* P+lambda n in that direction (lambdamin), with TOL between abscisses */
     free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate*2);    /* f1dim(xmin): for (j=1;j<=ncom;j++) xt[j]=pcom[j]+xmin*xicom[j]; */
     free_ma3x(trgradg,0,nhstepm,1,nlstate*2,1,npar);  #ifdef DEBUG
     free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);    printf("retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);
   }    fprintf(ficlog,"retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);
   printf("\n");  #endif
   fprintf(ficlog,"\n");  #ifdef DEBUGLINMIN
     printf("linmin end ");
   free_vector(xp,1,npar);    fprintf(ficlog,"linmin end ");
   free_matrix(dnewm,1,nlstate*2,1,npar);  #endif
   free_matrix(doldm,1,nlstate*2,1,nlstate*2);    for (j=1;j<=n;j++) { 
   free_ma3x(varhe,1,nlstate*2,1,nlstate*2,(int) bage, (int)fage);  #ifdef LINMINORIGINAL
 }      xi[j] *= xmin; 
   #else
 /************ Variance ******************/  #ifdef DEBUGLINMIN
 void varevsij(char optionfilefiname[], double ***vareij, double **matcov, double x[], double delti[], int nlstate, int stepm, double bage, double fage, double **oldm, double **savm, double **prlim, double ftolpl, int ij, int estepm, int cptcov, int cptcod, int popbased)      if(xxs <1.0)
 {        printf(" before xi[%d]=%12.8f", j,xi[j]);
   /* Variance of health expectancies */  #endif
   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);*/      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) */
   /* double **newm;*/  #ifdef DEBUGLINMIN
   double **dnewm,**doldm;      if(xxs <1.0)
   double **dnewmp,**doldmp;        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 );
   int i, j, nhstepm, hstepm, h, nstepm ;  #endif
   int k, cptcode;  #endif
   double *xp;      p[j] += xi[j]; /* Parameters values are updated accordingly */
   double **gp, **gm;  /* for var eij */    } 
   double ***gradg, ***trgradg; /*for var eij */  #ifdef DEBUGLINMIN
   double **gradgp, **trgradgp; /* for var p point j */    printf("\n");
   double *gpp, *gmp; /* for var p point j */    printf("Comparing last *frec(xmin=%12.8f)=%12.8f from Brent and frec(0.)=%12.8f \n", xmin, *fret, (*func)(p));
   double **varppt; /* for var p point j nlstate to nlstate+ndeath */    fprintf(ficlog,"Comparing last *frec(xmin=%12.8f)=%12.8f from Brent and frec(0.)=%12.8f \n", xmin, *fret, (*func)(p));
   double ***p3mat;    for (j=1;j<=n;j++) { 
   double age,agelim, hf;      printf(" xi[%d]= %14.10f p[%d]= %12.7f",j,xi[j],j,p[j]);
   int theta;      fprintf(ficlog," xi[%d]= %14.10f p[%d]= %12.7f",j,xi[j],j,p[j]);
   char digit[4];      if(j % ncovmodel == 0){
   char digitp[16];        printf("\n");
         fprintf(ficlog,"\n");
   char fileresprobmorprev[FILENAMELENGTH];      }
     }
   if(popbased==1)  #else
     strcpy(digitp,"-populbased-");  #endif
   else    free_vector(xicom,1,n); 
     strcpy(digitp,"-stablbased-");    free_vector(pcom,1,n); 
   } 
   strcpy(fileresprobmorprev,"prmorprev");  
   sprintf(digit,"%-d",ij);  
   /*printf("DIGIT=%s, ij=%d ijr=%-d|\n",digit, ij,ij);*/  /*************** powell ************************/
   strcat(fileresprobmorprev,digit); /* Tvar to be done */  /*
   strcat(fileresprobmorprev,digitp); /* Popbased or not */  Minimization of a function func of n variables. Input consists of an initial starting point
   strcat(fileresprobmorprev,fileres);  p[1..n] ; an initial matrix xi[1..n][1..n] , whose columns contain the initial set of di-
   if((ficresprobmorprev=fopen(fileresprobmorprev,"w"))==NULL) {  rections (usually the n unit vectors); and ftol , the fractional tolerance in the function value
     printf("Problem with resultfile: %s\n", fileresprobmorprev);  such that failure to decrease by more than this amount on one iteration signals doneness. On
     fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobmorprev);  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.
   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);  void powell(double p[], double **xi, int n, double ftol, int *iter, double *fret, 
   fprintf(ficresprobmorprev,"# probabilities of dying during a year and weighted mean w1*p1j+w2*p2j+... stand dev in()\n");              double (*func)(double [])) 
   fprintf(ficresprobmorprev,"# Age cov=%-d",ij);  { 
   for(j=nlstate+1; j<=(nlstate+ndeath);j++){    void linmin(double p[], double xi[], int n, double *fret, 
     fprintf(ficresprobmorprev," p.%-d SE",j);                double (*func)(double [])); 
     for(i=1; i<=nlstate;i++)    int i,ibig,j; 
       fprintf(ficresprobmorprev," w%1d p%-d%-d",i,i,j);    double del,t,*pt,*ptt,*xit;
   }      double directest;
   fprintf(ficresprobmorprev,"\n");    double fp,fptt;
   if((ficgp=fopen(optionfilegnuplot,"a"))==NULL) {    double *xits;
     printf("Problem with gnuplot file: %s\n", optionfilegnuplot);    int niterf, itmp;
     fprintf(ficlog,"Problem with gnuplot file: %s\n", optionfilegnuplot);  
     exit(0);    pt=vector(1,n); 
   }    ptt=vector(1,n); 
   else{    xit=vector(1,n); 
     fprintf(ficgp,"\n# Routine varevsij");    xits=vector(1,n); 
   }    *fret=(*func)(p); 
   if((fichtm=fopen(optionfilehtm,"a"))==NULL) {    for (j=1;j<=n;j++) pt[j]=p[j]; 
     printf("Problem with html file: %s\n", optionfilehtm);    rcurr_time = time(NULL);  
     fprintf(ficlog,"Problem with html file: %s\n", optionfilehtm);    for (*iter=1;;++(*iter)) { 
     exit(0);      fp=(*fret); /* From former iteration or initial value */
   }      ibig=0; 
   else{      del=0.0; 
     fprintf(fichtm,"\n<li><h4> Computing step probabilities of dying and weighted average (i.e global mortality independent of initial healh state)</h4></li>\n");      rlast_time=rcurr_time;
   }      /* (void) gettimeofday(&curr_time,&tzp); */
   varppt = matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);      rcurr_time = time(NULL);  
       curr_time = *localtime(&rcurr_time);
   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");      printf("\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret, rcurr_time-rlast_time, rcurr_time-rstart_time);fflush(stdout);
   fprintf(ficresvij,"# Age");      fprintf(ficlog,"\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret,rcurr_time-rlast_time, rcurr_time-rstart_time); fflush(ficlog);
   for(i=1; i<=nlstate;i++)  /*     fprintf(ficrespow,"%d %.12f %ld",*iter,*fret,curr_time.tm_sec-start_time.tm_sec); */
     for(j=1; j<=nlstate;j++)      for (i=1;i<=n;i++) {
       fprintf(ficresvij," Cov(e%1d, e%1d)",i,j);        printf(" %d %.12f",i, p[i]);
   fprintf(ficresvij,"\n");        fprintf(ficlog," %d %.12lf",i, p[i]);
         fprintf(ficrespow," %.12lf", p[i]);
   xp=vector(1,npar);      }
   dnewm=matrix(1,nlstate,1,npar);      printf("\n");
   doldm=matrix(1,nlstate,1,nlstate);      fprintf(ficlog,"\n");
   dnewmp= matrix(nlstate+1,nlstate+ndeath,1,npar);      fprintf(ficrespow,"\n");fflush(ficrespow);
   doldmp= matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);      if(*iter <=3){
         tml = *localtime(&rcurr_time);
   gradgp=matrix(1,npar,nlstate+1,nlstate+ndeath);        strcpy(strcurr,asctime(&tml));
   gpp=vector(nlstate+1,nlstate+ndeath);        rforecast_time=rcurr_time; 
   gmp=vector(nlstate+1,nlstate+ndeath);        itmp = strlen(strcurr);
   trgradgp =matrix(nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/        if(strcurr[itmp-1]=='\n')  /* Windows outputs with a new line */
            strcurr[itmp-1]='\0';
   if(estepm < stepm){        printf("\nConsidering the time needed for the last iteration #%d: %ld seconds,\n",*iter,rcurr_time-rlast_time);
     printf ("Problem %d lower than %d\n",estepm, stepm);        fprintf(ficlog,"\nConsidering the time needed for this last iteration #%d: %ld seconds,\n",*iter,rcurr_time-rlast_time);
   }        for(niterf=10;niterf<=30;niterf+=10){
   else  hstepm=estepm;            rforecast_time=rcurr_time+(niterf-*iter)*(rcurr_time-rlast_time);
   /* For example we decided to compute the life expectancy with the smallest unit */          forecast_time = *localtime(&rforecast_time);
   /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm.          strcpy(strfor,asctime(&forecast_time));
      nhstepm is the number of hstepm from age to agelim          itmp = strlen(strfor);
      nstepm is the number of stepm from age to agelin.          if(strfor[itmp-1]=='\n')
      Look at hpijx to understand the reason of that which relies in memory size          strfor[itmp-1]='\0';
      and note for a fixed period like k years */          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);
   /* We decided (b) to get a life expectancy respecting the most precise curvature of the          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);
      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      for (i=1;i<=n;i++) { /* For each direction i */
      results. So we changed our mind and took the option of the best precision.        for (j=1;j<=n;j++) xit[j]=xi[j][i]; /* Directions stored from previous iteration with previous scales */
   */        fptt=(*fret); 
   hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */  #ifdef DEBUG
   agelim = AGESUP;        printf("fret=%lf, %lf, %lf \n", *fret, *fret, *fret);
   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */        fprintf(ficlog, "fret=%lf, %lf, %lf \n", *fret, *fret, *fret);
     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 */        printf("%d",i);fflush(stdout); /* print direction (parameter) i */
     p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);        fprintf(ficlog,"%d",i);fflush(ficlog);
     gradg=ma3x(0,nhstepm,1,npar,1,nlstate);        linmin(p,xit,n,fret,func); /* Point p[n]. xit[n] has been loaded for direction i as input.*/
     gp=matrix(0,nhstepm,1,nlstate);                                      /* Outputs are fret(new point p) p is updated and xit rescaled */
     gm=matrix(0,nhstepm,1,nlstate);        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 */
           /* in comparison with the 'probable' gain, mu^2, with the last average direction. */
     for(theta=1; theta <=npar; theta++){          /* Unless the n directions are conjugate some gain in the determinant may be obtained */
       for(i=1; i<=npar; i++){ /* Computes gradient */          /* with the new direction. */
         xp[i] = x[i] + (i==theta ?delti[theta]:0);          del=fabs(fptt-(*fret)); 
       }          ibig=i; 
       hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);          } 
       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);  #ifdef DEBUG
         printf("%d %.12e",i,(*fret));
       if (popbased==1) {        fprintf(ficlog,"%d %.12e",i,(*fret));
         for(i=1; i<=nlstate;i++)        for (j=1;j<=n;j++) {
           prlim[i][i]=probs[(int)age][i][ij];          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]);
       for(j=1; j<= nlstate; j++){        }
         for(h=0; h<=nhstepm; h++){        for(j=1;j<=n;j++) {
           for(i=1, gp[h][j]=0.;i<=nlstate;i++)          printf(" p(%d)=%.12e",j,p[j]);
             gp[h][j] += prlim[i][i]*p3mat[i][j][h];          fprintf(ficlog," p(%d)=%.12e",j,p[j]);
         }        }
       }        printf("\n");
       /* This for computing forces of mortality (h=1)as a weighted average */        fprintf(ficlog,"\n");
       for(j=nlstate+1,gpp[j]=0.;j<=nlstate+ndeath;j++){  #endif
         for(i=1; i<= nlstate; i++)      } /* end loop on each direction i */
           gpp[j] += prlim[i][i]*p3mat[i][j][1];      /* Convergence test will use last linmin estimation (fret) and compare former iteration (fp) */ 
       }          /* But p and xit have been updated at the end of linmin, *fret corresponds to new p, xit  */
       /* end force of mortality */      /* New value of last point Pn is not computed, P(n-1) */
       if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret))) { /* Did we reach enough precision? */
       for(i=1; i<=npar; i++) /* Computes gradient */        /* We could compare with a chi^2. chisquare(0.95,ddl=1)=3.84 */
         xp[i] = x[i] - (i==theta ?delti[theta]:0);        /* By adding age*age in a model, the new -2LL should be lower and the difference follows a */
       hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);          /* a chisquare statistics with 1 degree. To be significant at the 95% level, it should have */
       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);        /* decreased of more than 3.84  */
          /* By adding age*age and V1*age the gain (-2LL) should be more than 5.99 (ddl=2) */
       if (popbased==1) {        /* By using V1+V2+V3, the gain should be  7.82, compared with basic 1+age. */
         for(i=1; i<=nlstate;i++)        /* By adding 10 parameters more the gain should be 18.31 */
           prlim[i][i]=probs[(int)age][i][ij];  
       }        /* Starting the program with initial values given by a former maximization will simply change */
         /* the scales of the directions and the directions, because the are reset to canonical directions */
       for(j=1; j<= nlstate; j++){        /* Thus the first calls to linmin will give new points and better maximizations until fp-(*fret) is */
         for(h=0; h<=nhstepm; h++){        /* under the tolerance value. If the tolerance is very small 1.e-9, it could last long.  */
           for(i=1, gm[h][j]=0.;i<=nlstate;i++)  #ifdef DEBUG
             gm[h][j] += prlim[i][i]*p3mat[i][j][h];        int k[2],l;
         }        k[0]=1;
       }        k[1]=-1;
       /* This for computing force of mortality (h=1)as a weighted average */        printf("Max: %.12e",(*func)(p));
       for(j=nlstate+1,gmp[j]=0.;j<=nlstate+ndeath;j++){        fprintf(ficlog,"Max: %.12e",(*func)(p));
         for(i=1; i<= nlstate; i++)        for (j=1;j<=n;j++) {
           gmp[j] += prlim[i][i]*p3mat[i][j][1];          printf(" %.12e",p[j]);
       }              fprintf(ficlog," %.12e",p[j]);
       /* end force of mortality */        }
         printf("\n");
       for(j=1; j<= nlstate; j++) /* vareij */        fprintf(ficlog,"\n");
         for(h=0; h<=nhstepm; h++){        for(l=0;l<=1;l++) {
           gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta];          for (j=1;j<=n;j++) {
         }            ptt[j]=p[j]+(p[j]-pt[j])*k[l];
       for(j=nlstate+1; j<= nlstate+ndeath; j++){ /* var mu */            printf("l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
         gradgp[theta][j]= (gpp[j]-gmp[j])/2./delti[theta];            fprintf(ficlog,"l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
       }          }
           printf("func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
     } /* End theta */          fprintf(ficlog,"func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
         }
     trgradg =ma3x(0,nhstepm,1,nlstate,1,npar); /* veij */  #endif
   
     for(h=0; h<=nhstepm; h++) /* veij */  
       for(j=1; j<=nlstate;j++)        free_vector(xit,1,n); 
         for(theta=1; theta <=npar; theta++)        free_vector(xits,1,n); 
           trgradg[h][j][theta]=gradg[h][theta][j];        free_vector(ptt,1,n); 
         free_vector(pt,1,n); 
     for(j=nlstate+1; j<=nlstate+ndeath;j++) /* mu */        return; 
       for(theta=1; theta <=npar; theta++)      } /* enough precision */ 
         trgradgp[j][theta]=gradgp[theta][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) */
     hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */        ptt[j]=2.0*p[j]-pt[j]; 
     for(i=1;i<=nlstate;i++)        xit[j]=p[j]-pt[j]; 
       for(j=1;j<=nlstate;j++)        pt[j]=p[j]; 
         vareij[i][j][(int)age] =0.;      } 
       fptt=(*func)(ptt); /* f_3 */
     for(h=0;h<=nhstepm;h++){  #ifdef POWELLF1F3
       for(k=0;k<=nhstepm;k++){  #else
         matprod2(dnewm,trgradg[h],1,nlstate,1,npar,1,npar,matcov);      if (fptt < fp) { /* If extrapolated point is better, decide if we keep that new direction or not */
         matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg[k]);  #endif
         for(i=1;i<=nlstate;i++)        /* (x1 f1=fp), (x2 f2=*fret), (x3 f3=fptt), (xm fm) */
           for(j=1;j<=nlstate;j++)        /* From x1 (P0) distance of x2 is at h and x3 is 2h */
             vareij[i][j][(int)age] += doldm[i][j]*hf*hf;        /* Let f"(x2) be the 2nd derivative equal everywhere.  */
       }        /* Then the parabolic through (x1,f1), (x2,f2) and (x3,f3) */
     }        /* will reach at f3 = fm + h^2/2 f"m  ; f" = (f1 -2f2 +f3 ) / h**2 */
         /* Conditional for using this new direction is that mu^2 = (f1-2f2+f3)^2 /2 < del */
     /* pptj */        /* t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)-del*SQR(fp-fptt); */
     matprod2(dnewmp,trgradgp,nlstate+1,nlstate+ndeath,1,npar,1,npar,matcov);  #ifdef NRCORIGINAL
     matprod2(doldmp,dnewmp,nlstate+1,nlstate+ndeath,1,npar,nlstate+1,nlstate+ndeath,gradgp);        t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)- del*SQR(fp-fptt); /* Original Numerical Recipes in C*/
     for(j=nlstate+1;j<=nlstate+ndeath;j++)  #else
       for(i=nlstate+1;i<=nlstate+ndeath;i++)        t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del); /* Intel compiler doesn't work on one line; bug reported */
         varppt[j][i]=doldmp[j][i];        t= t- del*SQR(fp-fptt);
     /* end ppptj */  #endif
     hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm,savm, ij);          directest = fp-2.0*(*fret)+fptt - 2.0 * del; /* If delta was big enough we change it for a new direction */
     prevalim(prlim,nlstate,x,age,oldm,savm,ftolpl,ij);  #ifdef DEBUG
          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);
     if (popbased==1) {        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(i=1; i<=nlstate;i++)        printf("t3= %.12lf, t4= %.12lf, t3*= %.12lf, t4*= %.12lf\n",SQR(fp-(*fret)-del),SQR(fp-fptt),
         prlim[i][i]=probs[(int)age][i][ij];               (fp-(*fret)-del)*(fp-(*fret)-del),(fp-fptt)*(fp-fptt));
     }        fprintf(ficlog,"t3= %.12lf, t4= %.12lf, t3*= %.12lf, t4*= %.12lf\n",SQR(fp-(*fret)-del),SQR(fp-fptt),
                   (fp-(*fret)-del)*(fp-(*fret)-del),(fp-fptt)*(fp-fptt));
     /* This for computing force of mortality (h=1)as a weighted average */        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(j=nlstate+1,gmp[j]=0.;j<=nlstate+ndeath;j++){        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);
       for(i=1; i<= nlstate; i++)  #endif
         gmp[j] += prlim[i][i]*p3mat[i][j][1];  #ifdef POWELLORIGINAL
     }            if (t < 0.0) { /* Then we use it for new direction */
     /* end force of mortality */  #else
         if (directest*t < 0.0) { /* Contradiction between both tests */
     fprintf(ficresprobmorprev,"%3d %d ",(int) age, ij);          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);
     for(j=nlstate+1; j<=(nlstate+ndeath);j++){          printf("f1-2f2+f3= %.12lf, f1-f2-del= %.12lf, f1-f3= %.12lf\n",fp-2.0*(*fret)+fptt, fp -(*fret) -del, fp-fptt);
       fprintf(ficresprobmorprev," %11.3e %11.3e",gmp[j], sqrt(varppt[j][j]));          fprintf(ficlog,"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);
       for(i=1; i<=nlstate;i++){          fprintf(ficlog,"f1-2f2+f3= %.12lf, f1-f2-del= %.12lf, f1-f3= %.12lf\n",fp-2.0*(*fret)+fptt, fp -(*fret) -del, fp-fptt);
         fprintf(ficresprobmorprev," %11.3e %11.3e ",prlim[i][i],p3mat[i][j][1]);        } 
       }        if (directest < 0.0) { /* Then we use it for new direction */
     }  #endif
     fprintf(ficresprobmorprev,"\n");  #ifdef DEBUGLINMIN
           printf("Before linmin in direction P%d-P0\n",n);
     fprintf(ficresvij,"%.0f ",age );          for (j=1;j<=n;j++) { 
     for(i=1; i<=nlstate;i++)            printf(" Before xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
       for(j=1; j<=nlstate;j++){            fprintf(ficlog," Before xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
         fprintf(ficresvij," %.4f", vareij[i][j][(int)age]);            if(j % ncovmodel == 0){
       }              printf("\n");
     fprintf(ficresvij,"\n");              fprintf(ficlog,"\n");
     free_matrix(gp,0,nhstepm,1,nlstate);            }
     free_matrix(gm,0,nhstepm,1,nlstate);          }
     free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate);  #endif
     free_ma3x(trgradg,0,nhstepm,1,nlstate,1,npar);          linmin(p,xit,n,fret,func); /* computes minimum on the extrapolated direction: changes p and rescales xit.*/
     free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);  #ifdef DEBUGLINMIN
   } /* End age */          for (j=1;j<=n;j++) { 
   free_vector(gpp,nlstate+1,nlstate+ndeath);            printf("After xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
   free_vector(gmp,nlstate+1,nlstate+ndeath);            fprintf(ficlog,"After xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
   free_matrix(gradgp,1,npar,nlstate+1,nlstate+ndeath);            if(j % ncovmodel == 0){
   free_matrix(trgradgp,nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/              printf("\n");
   fprintf(ficgp,"\nset noparametric;set nolabel; set ter png small;set size 0.65, 0.65");              fprintf(ficlog,"\n");
   /* for(j=nlstate+1; j<= nlstate+ndeath; j++){ *//* Only the first actually */            }
   fprintf(ficgp,"\n set log y; set nolog x;set xlabel \"Age\"; set ylabel \"Force of mortality (year-1)\";");          }
   fprintf(ficgp,"\n plot \"%s\"  u 1:($3*%6.3f) not w l 1 ",fileresprobmorprev,YEARM/estepm);  #endif
   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)*%6.3f) t \"95\%% interval\" w l 2 ",fileresprobmorprev,YEARM/estepm);          for (j=1;j<=n;j++) { 
   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)*%6.3f) not w l 2 ",fileresprobmorprev,YEARM/estepm);            xi[j][ibig]=xi[j][n]; /* Replace direction with biggest decrease by last direction n */
   fprintf(fichtm,"\n<br> File (multiple files are possible if covariates are present): <A href=\"%s\">%s</a>\n",fileresprobmorprev,fileresprobmorprev);            xi[j][n]=xit[j];      /* and this nth direction by the by the average p_0 p_n */
   fprintf(fichtm,"\n<br> Probability is computed over estepm=%d months and then divided by estepm and multiplied by %.0f in order to have the probability to die over a year <br> <img src=\"varmuptjgr%s%s.png\"> <br>\n", stepm,YEARM,digitp,digit);          }
   fprintf(ficgp,"\nset out \"varmuptjgr%s%s.png\";replot;",digitp,digit);          printf("Gaining to use new average direction of P0 P%d instead of biggest increase direction %d :\n",n,ibig);
           fprintf(ficlog,"Gaining to use new average direction of P0 P%d instead of biggest increase direction %d :\n",n,ibig);
   free_vector(xp,1,npar);  
   free_matrix(doldm,1,nlstate,1,nlstate);  #ifdef DEBUG
   free_matrix(dnewm,1,nlstate,1,npar);          printf("Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
   free_matrix(doldmp,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);          fprintf(ficlog,"Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
   free_matrix(dnewmp,nlstate+1,nlstate+ndeath,1,npar);          for(j=1;j<=n;j++){
   free_matrix(varppt,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);            printf(" %.12e",xit[j]);
   fclose(ficresprobmorprev);            fprintf(ficlog," %.12e",xit[j]);
   fclose(ficgp);          }
   fclose(fichtm);          printf("\n");
           fprintf(ficlog,"\n");
 }  #endif
         } /* end of t or directest negative */
 /************ Variance of prevlim ******************/  #ifdef POWELLF1F3
 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)  #else
 {      } /* end if (fptt < fp)  */
   /* Variance of prevalence limit */  #endif
   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);*/    } /* loop iteration */ 
   double **newm;  } 
   double **dnewm,**doldm;  
   int i, j, nhstepm, hstepm;  /**** Prevalence limit (stable or period prevalence)  ****************/
   int k, cptcode;  
   double *xp;  double **prevalim(double **prlim, int nlstate, double x[], double age, double **oldm, double **savm, double ftolpl, int *ncvyear, int ij)
   double *gp, *gm;  {
   double **gradg, **trgradg;    /* Computes the prevalence limit in each live state at age x and for covariate ij by left multiplying the unit
   double age,agelim;       matrix by transitions matrix until convergence is reached with precision ftolpl */
   int theta;    /* Wx= Wx-1 Px-1= Wx-2 Px-2 Px-1  = Wx-n Px-n ... Px-2 Px-1 I */
        /* Wx is row vector: population in state 1, population in state 2, population dead */
   fprintf(ficresvpl,"# Standard deviation of prevalence's limit\n");    /* or prevalence in state 1, prevalence in state 2, 0 */
   fprintf(ficresvpl,"# Age");    /* newm is the matrix after multiplications, its rows are identical at a factor */
   for(i=1; i<=nlstate;i++)    /* Initial matrix pimij */
       fprintf(ficresvpl," %1d-%1d",i,i);    /* {0.85204250825084937, 0.13044499163996345, 0.017512500109187184, */
   fprintf(ficresvpl,"\n");    /* 0.090851990222114765, 0.88271245433047185, 0.026435555447413338, */
     /*  0,                   0                  , 1} */
   xp=vector(1,npar);    /*
   dnewm=matrix(1,nlstate,1,npar);     * and after some iteration: */
   doldm=matrix(1,nlstate,1,nlstate);    /* {0.45504275246439968, 0.42731458730878791, 0.11764266022681241, */
      /*  0.45201005341706885, 0.42865420071559901, 0.11933574586733192, */
   hstepm=1*YEARM; /* Every year of age */    /*  0,                   0                  , 1} */
   hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */    /* And prevalence by suppressing the deaths are close to identical rows in prlim: */
   agelim = AGESUP;    /* {0.51571254859325999, 0.4842874514067399, */
   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */    /*  0.51326036147820708, 0.48673963852179264} */
     nhstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */    /* If we start from prlim again, prlim tends to a constant matrix */
     if (stepm >= YEARM) hstepm=1;  
     nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */    int i, ii,j,k;
     gradg=matrix(1,npar,1,nlstate);    double *min, *max, *meandiff, maxmax,sumnew=0.;
     gp=vector(1,nlstate);    /* double **matprod2(); */ /* test */
     gm=vector(1,nlstate);    double **out, cov[NCOVMAX+1], **pmij(); /* **pmmij is a global variable feeded with oldms etc */
     double **newm;
     for(theta=1; theta <=npar; theta++){    double agefin, delaymax=200. ; /* 100 Max number of years to converge */
       for(i=1; i<=npar; i++){ /* Computes gradient */    int ncvloop=0;
         xp[i] = x[i] + (i==theta ?delti[theta]:0);    
       }    min=vector(1,nlstate);
       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);    max=vector(1,nlstate);
       for(i=1;i<=nlstate;i++)    meandiff=vector(1,nlstate);
         gp[i] = prlim[i][i];  
              /* Starting with matrix unity */
       for(i=1; i<=npar; i++) /* Computes gradient */    for (ii=1;ii<=nlstate+ndeath;ii++)
         xp[i] = x[i] - (i==theta ?delti[theta]:0);      for (j=1;j<=nlstate+ndeath;j++){
       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);        oldm[ii][j]=(ii==j ? 1.0 : 0.0);
       for(i=1;i<=nlstate;i++)      }
         gm[i] = prlim[i][i];    
     cov[1]=1.;
       for(i=1;i<=nlstate;i++)    
         gradg[theta][i]= (gp[i]-gm[i])/2./delti[theta];    /* Even if hstepm = 1, at least one multiplication by the unit matrix */
     } /* End theta */    /* 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){
     trgradg =matrix(1,nlstate,1,npar);      ncvloop++;
       newm=savm;
     for(j=1; j<=nlstate;j++)      /* Covariates have to be included here again */
       for(theta=1; theta <=npar; theta++)      cov[2]=agefin;
         trgradg[j][theta]=gradg[theta][j];      if(nagesqr==1)
         cov[3]= agefin*agefin;;
     for(i=1;i<=nlstate;i++)      for (k=1; k<=cptcovn;k++) {
       varpl[i][(int)age] =0.;        /* cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
     matprod2(dnewm,trgradg,1,nlstate,1,npar,1,npar,matcov);                          /* Here comes the value of the covariate 'ij' */
     matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg);        cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)];
     for(i=1;i<=nlstate;i++)        /* 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])]); */
       varpl[i][(int)age] = doldm[i][i]; /* Covariances are useless */      }
       /*wrong? for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
     fprintf(ficresvpl,"%.0f ",age );      /* for (k=1; k<=cptcovage;k++) cov[2+nagesqr+Tage[k]]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]*cov[2]; */
     for(i=1; i<=nlstate;i++)      for (k=1; k<=cptcovage;k++) cov[2+nagesqr+Tage[k]]=nbcode[Tvar[k]][codtabm(ij,k)]*cov[2];
       fprintf(ficresvpl," %.5f (%.5f)",prlim[i][i],sqrt(varpl[i][(int)age]));      for (k=1; k<=cptcovprod;k++) /* Useless */
     fprintf(ficresvpl,"\n");        /* cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,Tvard[k][1])] * nbcode[Tvard[k][2]][codtabm(ij,Tvard[k][2])]; */
     free_vector(gp,1,nlstate);        cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * nbcode[Tvard[k][2]][codtabm(ij,k)];
     free_vector(gm,1,nlstate);      
     free_matrix(gradg,1,npar,1,nlstate);      /*printf("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/
     free_matrix(trgradg,1,nlstate,1,npar);      /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/
   } /* End age */      /*printf("ij=%d cov[3]=%lf \n",ij, cov[3]);*/
       /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
   free_vector(xp,1,npar);      /* out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /\* Bug Valgrind *\/ */
   free_matrix(doldm,1,nlstate,1,npar);                  /* age and covariate values of ij are in 'cov' */
   free_matrix(dnewm,1,nlstate,1,nlstate);      out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /* Bug Valgrind */
       
 }      savm=oldm;
       oldm=newm;
 /************ 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)      for(j=1; j<=nlstate; j++){
 {        max[j]=0.;
   int i, j=0,  i1, k1, l1, t, tj;        min[j]=1.;
   int k2, l2, j1,  z1;      }
   int k=0,l, cptcode;      for(i=1;i<=nlstate;i++){
   int first=1, first1;        sumnew=0;
   double cv12, mu1, mu2, lc1, lc2, v12, v21, v11, v22,v1,v2, c12, tnalp;        for(k=1; k<=ndeath; k++) sumnew+=newm[i][nlstate+k];
   double **dnewm,**doldm;        for(j=1; j<=nlstate; j++){ 
   double *xp;          prlim[i][j]= newm[i][j]/(1-sumnew);
   double *gp, *gm;          max[j]=FMAX(max[j],prlim[i][j]);
   double **gradg, **trgradg;          min[j]=FMIN(min[j],prlim[i][j]);
   double **mu;        }
   double age,agelim, cov[NCOVMAX];      }
   double std=2.0; /* Number of standard deviation wide of confidence ellipsoids */  
   int theta;      maxmax=0.;
   char fileresprob[FILENAMELENGTH];      for(j=1; j<=nlstate; j++){
   char fileresprobcov[FILENAMELENGTH];        meandiff[j]=(max[j]-min[j])/(max[j]+min[j])*2.; /* mean difference for each column */
   char fileresprobcor[FILENAMELENGTH];        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); */
   double ***varpij;      } /* j loop */
       *ncvyear= (int)age- (int)agefin;
   strcpy(fileresprob,"prob");      /* printf("maxmax=%lf maxmin=%lf ncvloop=%d, age=%d, agefin=%d ncvyear=%d \n", maxmax, maxmin, ncvloop, (int)age, (int)agefin, *ncvyear); */
   strcat(fileresprob,fileres);      if(maxmax < ftolpl){
   if((ficresprob=fopen(fileresprob,"w"))==NULL) {        /* printf("maxmax=%lf ncvloop=%ld, age=%d, agefin=%d ncvyear=%d \n", maxmax, ncvloop, (int)age, (int)agefin, *ncvyear); */
     printf("Problem with resultfile: %s\n", fileresprob);        free_vector(min,1,nlstate);
     fprintf(ficlog,"Problem with resultfile: %s\n", fileresprob);        free_vector(max,1,nlstate);
   }        free_vector(meandiff,1,nlstate);
   strcpy(fileresprobcov,"probcov");        return prlim;
   strcat(fileresprobcov,fileres);      }
   if((ficresprobcov=fopen(fileresprobcov,"w"))==NULL) {    } /* age loop */
     printf("Problem with resultfile: %s\n", fileresprobcov);      /* After some age loop it doesn't converge */
     fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcov);    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\
   }  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);
   strcpy(fileresprobcor,"probcor");    /* 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); */
   strcat(fileresprobcor,fileres);    free_vector(min,1,nlstate);
   if((ficresprobcor=fopen(fileresprobcor,"w"))==NULL) {    free_vector(max,1,nlstate);
     printf("Problem with resultfile: %s\n", fileresprobcor);    free_vector(meandiff,1,nlstate);
     fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcor);    
   }    return prlim; /* should not reach here */
   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);   /**** Back Prevalence limit (stable or period prevalence)  ****************/
   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);   /* 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) */
     /* 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(ficresprob,"#One-step probabilities and stand. devi in ()\n");   double **bprevalim(double **bprlim, double ***prevacurrent, int nlstate, double x[], double age, double ftolpl, int *ncvyear, int ij)
   fprintf(ficresprob,"# Age");  {
   fprintf(ficresprobcov,"#One-step probabilities and covariance matrix\n");    /* Computes the prevalence limit in each live state at age x and covariate ij by left multiplying the unit
   fprintf(ficresprobcov,"# Age");       matrix by transitions matrix until convergence is reached with precision ftolpl */
   fprintf(ficresprobcor,"#One-step probabilities and correlation matrix\n");    /* Wx= Wx-1 Px-1= Wx-2 Px-2 Px-1  = Wx-n Px-n ... Px-2 Px-1 I */
   fprintf(ficresprobcov,"# Age");    /* Wx is row vector: population in state 1, population in state 2, population dead */
     /* or prevalence in state 1, prevalence in state 2, 0 */
     /* newm is the matrix after multiplications, its rows are identical at a factor */
   for(i=1; i<=nlstate;i++)    /* Initial matrix pimij */
     for(j=1; j<=(nlstate+ndeath);j++){    /* {0.85204250825084937, 0.13044499163996345, 0.017512500109187184, */
       fprintf(ficresprob," p%1d-%1d (SE)",i,j);    /* 0.090851990222114765, 0.88271245433047185, 0.026435555447413338, */
       fprintf(ficresprobcov," p%1d-%1d ",i,j);    /*  0,                   0                  , 1} */
       fprintf(ficresprobcor," p%1d-%1d ",i,j);    /*
     }       * and after some iteration: */
   fprintf(ficresprob,"\n");    /* {0.45504275246439968, 0.42731458730878791, 0.11764266022681241, */
   fprintf(ficresprobcov,"\n");    /*  0.45201005341706885, 0.42865420071559901, 0.11933574586733192, */
   fprintf(ficresprobcor,"\n");    /*  0,                   0                  , 1} */
   xp=vector(1,npar);    /* And prevalence by suppressing the deaths are close to identical rows in prlim: */
   dnewm=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);    /* {0.51571254859325999, 0.4842874514067399, */
   doldm=matrix(1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath));    /*  0.51326036147820708, 0.48673963852179264} */
   mu=matrix(1,(nlstate)*(nlstate+ndeath), (int) bage, (int)fage);    /* If we start from prlim again, prlim tends to a constant matrix */
   varpij=ma3x(1,nlstate*(nlstate+ndeath),1,nlstate*(nlstate+ndeath),(int) bage, (int) fage);  
   first=1;    int i, ii,j,k;
   if((ficgp=fopen(optionfilegnuplot,"a"))==NULL) {    double *min, *max, *meandiff, maxmax,sumnew=0.;
     printf("Problem with gnuplot file: %s\n", optionfilegnuplot);    /* double **matprod2(); */ /* test */
     fprintf(ficlog,"Problem with gnuplot file: %s\n", optionfilegnuplot);    double **out, cov[NCOVMAX+1], **bmij();
     exit(0);    double **newm;
   }    double         **dnewm, **doldm, **dsavm;  /* for use */
   else{    double         **oldm, **savm;  /* for use */
     fprintf(ficgp,"\n# Routine varprob");  
   }    double agefin, delaymax=200. ; /* 100 Max number of years to converge */
   if((fichtm=fopen(optionfilehtm,"a"))==NULL) {    int ncvloop=0;
     printf("Problem with html file: %s\n", optionfilehtm);    
     fprintf(ficlog,"Problem with html file: %s\n", optionfilehtm);    min=vector(1,nlstate);
     exit(0);    max=vector(1,nlstate);
   }    meandiff=vector(1,nlstate);
   else{  
     fprintf(fichtm,"\n<li><h4> Computing and drawing one step probabilities with their confidence intervals</h4></li>\n");          dnewm=ddnewms; doldm=ddoldms; dsavm=ddsavms;
     fprintf(fichtm,"\n");          oldm=oldms; savm=savms;
   
     fprintf(fichtm,"\n<li><h4> Computing matrix of variance-covariance of step probabilities</h4></li>\n");          /* Starting with matrix unity */
     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");          for (ii=1;ii<=nlstate+ndeath;ii++)
     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");                  for (j=1;j<=nlstate+ndeath;j++){
         oldm[ii][j]=(ii==j ? 1.0 : 0.0);
   }      }
     
      cov[1]=1.;
   cov[1]=1;    
   tj=cptcoveff;    /* Even if hstepm = 1, at least one multiplication by the unit matrix */
   if (cptcovn<1) {tj=1;ncodemax[1]=1;}    /* Start at agefin= age, computes the matrix of passage and loops decreasing agefin until convergence is reached */
   j1=0;    /* for(agefin=age+stepm/YEARM; agefin<=age+delaymax; agefin=agefin+stepm/YEARM){ /\* A changer en age *\/ */
   for(t=1; t<=tj;t++){    for(agefin=age; agefin<AGESUP; agefin=agefin+stepm/YEARM){ /* A changer en age */
     for(i1=1; i1<=ncodemax[t];i1++){      ncvloop++;
       j1++;      newm=savm; /* oldm should be kept from previous iteration or unity at start */
                        /* newm points to the allocated table savm passed by the function it can be written, savm could be reallocated */
       if  (cptcovn>0) {      /* Covariates have to be included here again */
         fprintf(ficresprob, "\n#********** Variable ");      cov[2]=agefin;
         for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprob, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);      if(nagesqr==1)
         fprintf(ficresprob, "**********\n#");        cov[3]= agefin*agefin;;
         fprintf(ficresprobcov, "\n#********** Variable ");      for (k=1; k<=cptcovn;k++) {
         for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcov, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);        /* cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
         fprintf(ficresprobcov, "**********\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])]); */
         fprintf(ficgp, "\n#********** Variable ");      }
         for (z1=1; z1<=cptcoveff; z1++) fprintf(ficgp, "# V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);      /*wrong? for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
         fprintf(ficgp, "**********\n#");      /* 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 (k=1; k<=cptcovprod;k++) /* Useless */
         fprintf(fichtm, "\n<hr  size=\"2\" color=\"#EC5E5E\">********** Variable ");        /* cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,Tvard[k][1])] * nbcode[Tvard[k][2]][codtabm(ij,Tvard[k][2])]; */
         for (z1=1; z1<=cptcoveff; z1++) fprintf(fichtm, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);        cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * nbcode[Tvard[k][2]][codtabm(ij,k)];
         fprintf(fichtm, "**********\n<hr size=\"2\" color=\"#EC5E5E\">");      
              /*printf("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/
         fprintf(ficresprobcor, "\n#********** Variable ");          /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/
         for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcor, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);      /*printf("ij=%d cov[3]=%lf \n",ij, cov[3]);*/
         fprintf(ficgp, "**********\n#");          /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
       }      /* out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /\* Bug Valgrind *\/ */
                        /* ij should be linked to the correct index of cov */
       for (age=bage; age<=fage; age ++){                  /* age and covariate values ij are in 'cov', but we need to pass
         cov[2]=age;                   * ij for the observed prevalence at age and status and covariate
         for (k=1; k<=cptcovn;k++) {                   * number:  prevacurrent[(int)agefin][ii][ij]
           cov[2+k]=nbcode[Tvar[k]][codtab[j1][Tvar[k]]];                   */
         }      /* 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 *\/ */
         for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2];      /* 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 *\/ */
         for (k=1; k<=cptcovprod;k++)      out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent,ij)); /* Bug Valgrind */
           cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]]*nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]];      savm=oldm;
              oldm=newm;
         gradg=matrix(1,npar,1,(nlstate)*(nlstate+ndeath));      for(j=1; j<=nlstate; j++){
         trgradg=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);        max[j]=0.;
         gp=vector(1,(nlstate)*(nlstate+ndeath));        min[j]=1.;
         gm=vector(1,(nlstate)*(nlstate+ndeath));      }
          for(j=1; j<=nlstate; j++){ 
         for(theta=1; theta <=npar; theta++){        for(i=1;i<=nlstate;i++){
           for(i=1; i<=npar; i++)                                  /* bprlim[i][j]= newm[i][j]/(1-sumnew); */
             xp[i] = x[i] + (i==theta ?delti[theta]:0);                                  bprlim[i][j]= newm[i][j];
                                            max[i]=FMAX(max[i],bprlim[i][j]); /* Max in line */
           pmij(pmmij,cov,ncovmodel,xp,nlstate);                                  min[i]=FMIN(min[i],bprlim[i][j]);
                  }
           k=0;      }
           for(i=1; i<= (nlstate); i++){                  
             for(j=1; j<=(nlstate+ndeath);j++){      maxmax=0.;
               k=k+1;      for(i=1; i<=nlstate; i++){
               gp[k]=pmmij[i][j];        meandiff[i]=(max[i]-min[i])/(max[i]+min[i])*2.; /* mean difference for each column */
             }        maxmax=FMAX(maxmax,meandiff[i]);
           }        /* 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); */
                } /* j loop */
           for(i=1; i<=npar; i++)      *ncvyear= -( (int)age- (int)agefin);
             xp[i] = x[i] - (i==theta ?delti[theta]:0);      /* printf("Back maxmax=%lf ncvloop=%d, age=%d, agefin=%d ncvyear=%d \n", maxmax, ncvloop, (int)age, (int)agefin, *ncvyear);*/
          if(maxmax < ftolpl){
           pmij(pmmij,cov,ncovmodel,xp,nlstate);        /* printf("OK Back maxmax=%lf ncvloop=%d, age=%d, agefin=%d ncvyear=%d \n", maxmax, ncvloop, (int)age, (int)agefin, *ncvyear); */
           k=0;        free_vector(min,1,nlstate);
           for(i=1; i<=(nlstate); i++){        free_vector(max,1,nlstate);
             for(j=1; j<=(nlstate+ndeath);j++){        free_vector(meandiff,1,nlstate);
               k=k+1;        return bprlim;
               gm[k]=pmmij[i][j];      }
             }    } /* age loop */
           }      /* After some age loop it doesn't converge */
          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\
           for(i=1; i<= (nlstate)*(nlstate+ndeath); i++)  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);
             gradg[theta][i]=(gp[i]-gm[i])/2./delti[theta];      /* 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);
     free_vector(max,1,nlstate);
         for(j=1; j<=(nlstate)*(nlstate+ndeath);j++)    free_vector(meandiff,1,nlstate);
           for(theta=1; theta <=npar; theta++)    
             trgradg[j][theta]=gradg[theta][j];    return bprlim; /* should not reach here */
          }
         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);  /*************** transition probabilities ***************/ 
          
         pmij(pmmij,cov,ncovmodel,x,nlstate);  double **pmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )
          {
         k=0;    /* According to parameters values stored in x and the covariate's values stored in cov,
         for(i=1; i<=(nlstate); i++){       computes the probability to be observed in state j being in state i by appying the
           for(j=1; j<=(nlstate+ndeath);j++){       model to the ncovmodel covariates (including constant and age).
             k=k+1;       lnpijopii=ln(pij/pii)= aij+bij*age+cij*v1+dij*v2+... = sum_nc=1^ncovmodel xij(nc)*cov[nc]
             mu[k][(int) age]=pmmij[i][j];       and, according on how parameters are entered, the position of the coefficient xij(nc) of the
           }       ncth covariate in the global vector x is given by the formula:
         }       j<i nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel
         for(i=1;i<=(nlstate)*(nlstate+ndeath);i++)       j>=i nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel
           for(j=1;j<=(nlstate)*(nlstate+ndeath);j++)       Computes ln(pij/pii) (lnpijopii), deduces pij/pii by exponentiation,
             varpij[i][j][(int)age] = doldm[i][j];       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
         /*printf("\n%d ",(int)age);       the values of the covariates cov[nc] and corresponding parameter values x[nc+shiftij]
      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]));    double s1, lnpijopii;
        fprintf(ficlog,"%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));    /*double t34;*/
      }*/    int i,j, nc, ii, jj;
   
         fprintf(ficresprob,"\n%d ",(int)age);    for(i=1; i<= nlstate; i++){
         fprintf(ficresprobcov,"\n%d ",(int)age);      for(j=1; j<i;j++){
         fprintf(ficresprobcor,"\n%d ",(int)age);        for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
           /*lnpijopii += param[i][j][nc]*cov[nc];*/
         for (i=1; i<=(nlstate)*(nlstate+ndeath);i++)          lnpijopii += x[nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel]*cov[nc];
           fprintf(ficresprob,"%11.3e (%11.3e) ",mu[i][(int) age],sqrt(varpij[i][i][(int)age]));          /*       printf("Int j<i s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
         for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){        }
           fprintf(ficresprobcov,"%11.3e ",mu[i][(int) age]);        ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
           fprintf(ficresprobcor,"%11.3e ",mu[i][(int) age]);        /*        printf("s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
         }      }
         i=0;      for(j=i+1; j<=nlstate+ndeath;j++){
         for (k=1; k<=(nlstate);k++){        for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
           for (l=1; l<=(nlstate+ndeath);l++){          /*lnpijopii += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];*/
             i=i++;          lnpijopii += x[nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel]*cov[nc];
             fprintf(ficresprobcov,"\n%d %d-%d",(int)age,k,l);          /*        printf("Int j>i s1=%.17e, lnpijopii=%.17e %lx %lx\n",s1,lnpijopii,s1,lnpijopii); */
             fprintf(ficresprobcor,"\n%d %d-%d",(int)age,k,l);        }
             for (j=1; j<=i;j++){        ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
               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]));    }
             }    
           }    for(i=1; i<= nlstate; i++){
         }/* end of loop for state */      s1=0;
       } /* end of loop for age */      for(j=1; j<i; j++){
         s1+=exp(ps[i][j]); /* In fact sums pij/pii */
       /* Confidence intervalle of pij  */        /*printf("debug1 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
       /*      }
       fprintf(ficgp,"\nset noparametric;unset label");      for(j=i+1; j<=nlstate+ndeath; j++){
       fprintf(ficgp,"\nset log y;unset log x; set xlabel \"Age\";set ylabel \"probability (year-1)\"");        s1+=exp(ps[i][j]); /* In fact sums pij/pii */
       fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65");        /*printf("debug2 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
       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);      /* s1= sum_{j<>i} pij/pii=(1-pii)/pii and thus pii is known from s1 */
       fprintf(ficgp,"\nset out \"pijgr%s.png\"",optionfilefiname);      ps[i][i]=1./(s1+1.);
       fprintf(ficgp,"\nplot \"%s\" every :::%d::%d u 1:2 \"\%%lf",k1,k2,xfilevarprob);      /* Computing other pijs */
       */      for(j=1; j<i; j++)
         ps[i][j]= exp(ps[i][j])*ps[i][i];
       /* Drawing ellipsoids of confidence of two variables p(k1-l1,k2-l2)*/      for(j=i+1; j<=nlstate+ndeath; j++)
       first1=1;        ps[i][j]= exp(ps[i][j])*ps[i][i];
       for (k2=1; k2<=(nlstate);k2++){      /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */
         for (l2=1; l2<=(nlstate+ndeath);l2++){    } /* end i */
           if(l2==k2) continue;    
           j=(k2-1)*(nlstate+ndeath)+l2;    for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){
           for (k1=1; k1<=(nlstate);k1++){      for(jj=1; jj<= nlstate+ndeath; jj++){
             for (l1=1; l1<=(nlstate+ndeath);l1++){        ps[ii][jj]=0;
               if(l1==k1) continue;        ps[ii][ii]=1;
               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;    /* for(ii=1; ii<= nlstate+ndeath; ii++){ */
                   v2=varpij[j][j][(int)age]/stepm*YEARM/stepm*YEARM;    /*   for(jj=1; jj<= nlstate+ndeath; jj++){ */
                   cv12=varpij[i][j][(int)age]/stepm*YEARM/stepm*YEARM;    /*    printf(" pmij  ps[%d][%d]=%lf ",ii,jj,ps[ii][jj]); */
                   mu1=mu[i][(int) age]/stepm*YEARM ;    /*   } */
                   mu2=mu[j][(int) age]/stepm*YEARM;    /*   printf("\n "); */
                   c12=cv12/sqrt(v1*v2);    /* } */
                   /* Computing eigen value of matrix of covariance */    /* printf("\n ");printf("%lf ",cov[2]);*/
                   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.;      for(i=1; i<= npar; i++) printf("%f ",x[i]);
                   /* Eigen vectors */                  goto end;*/
                   v11=(1./sqrt(1+(v1-lc1)*(v1-lc1)/cv12/cv12));    return ps;
                   /*v21=sqrt(1.-v11*v11); *//* error */  }
                   v21=(lc1-v1)/cv12*v11;  
                   v12=-v21;  /*************** backward transition probabilities ***************/ 
                   v22=v11;  
                   tnalp=v21/v11;   /* 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 ) */
                   if(first1==1){  /* double **bmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate,  double ***prevacurrent, double ***dnewm, double **doldm, double **dsavm, int ij ) */
                     first1=0;   double **bmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate,  double ***prevacurrent, int ij )
                     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);  {
                   }    /* Computes the backward probability at age agefin and covariate ij
                   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);     * and returns in **ps as well as **bmij.
                   /*printf(fignu*/     */
                   /* mu1+ v11*lc1*cost + v12*lc2*sin(t) */    int i, ii, j,k;
                   /* mu2+ v21*lc1*cost + v22*lc2*sin(t) */    
                   if(first==1){    double **out, **pmij();
                     first=0;    double sumnew=0.;
                     fprintf(ficgp,"\nset parametric;unset label");    double agefin;
                     fprintf(ficgp,"\nset log y;set log x; set xlabel \"p%1d%1d (year-1)\";set ylabel \"p%1d%1d (year-1)\"",k1,l1,k2,l2);    
                     fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65");    double **dnewm, **dsavm, **doldm;
                     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>, ",k1,l1,k2,l2,optionfilefiname, j1,k1,l1,k2,l2,optionfilefiname, j1,k1,l1,k2,l2);    double **bbmij;
                     fprintf(fichtm,"\n<br><img src=\"varpijgr%s%d%1d%1d-%1d%1d.png\"> ",optionfilefiname, j1,k1,l1,k2,l2);    
                     fprintf(ficgp,"\nset out \"varpijgr%s%d%1d%1d-%1d%1d.png\"",optionfilefiname, j1,k1,l1,k2,l2);    doldm=ddoldms; /* global pointers */
                     fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);    dnewm=ddnewms;
                     fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);    dsavm=ddsavms;
                     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),\    agefin=cov[2];
                             mu2,std,v21,sqrt(lc1),v22,sqrt(lc2));    /* bmij *//* age is cov[2], ij is included in cov, but we need for
                   }else{       the observed prevalence (with this covariate ij) */
                     first=0;    dsavm=pmij(pmmij,cov,ncovmodel,x,nlstate);
                     fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);    /* We do have the matrix Px in savm  and we need pij */
                     fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);    for (j=1;j<=nlstate+ndeath;j++){
                     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",\      sumnew=0.; /* w1 p11 + w2 p21 only on live states */
                             mu1,std,v11,sqrt(lc1),v12,sqrt(lc2),\      for (ii=1;ii<=nlstate;ii++){
                             mu2,std,v21,sqrt(lc1),v22,sqrt(lc2));        sumnew+=dsavm[ii][j]*prevacurrent[(int)agefin][ii][ij];
                   }/* if first */      } /* sumnew is (N11+N21)/N..= N.1/N.. = sum on i of w_i pij */
                 } /* age mod 5 */      for (ii=1;ii<=nlstate+ndeath;ii++){
               } /* end loop age */        if(sumnew >= 1.e-10){
               fprintf(ficgp,"\nset out \"varpijgr%s%d%1d%1d-%1d%1d.png\";replot;",optionfilefiname, j1,k1,l1,k2,l2);          /* if(agefin >= agemaxpar && agefin <= agemaxpar+stepm/YEARM){ */
               first=1;          /*      doldm[ii][j]=(ii==j ? 1./sumnew : 0.0); */
             } /*l12 */          /* }else if(agefin >= agemaxpar+stepm/YEARM){ */
           } /* k12 */          /*      doldm[ii][j]=(ii==j ? 1./sumnew : 0.0); */
         } /*l1 */          /* }else */
       }/* k1 */          doldm[ii][j]=(ii==j ? 1./sumnew : 0.0);
     } /* loop covariates */        }else{
     free_ma3x(varpij,1,nlstate,1,nlstate+ndeath,(int) bage, (int)fage);          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);
     free_vector(gp,1,(nlstate+ndeath)*(nlstate+ndeath));        }
     free_vector(gm,1,(nlstate+ndeath)*(nlstate+ndeath));      } /*End ii */
     free_matrix(mu,1,(nlstate+ndeath)*(nlstate+ndeath),(int) bage, (int)fage);    } /* End j, At the end doldm is diag[1/(w_1p1i+w_2 p2i)] */
     free_matrix(trgradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);    /* left Product of this diag matrix by dsavm=Px (newm=dsavm*doldm) */
     free_matrix(gradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);    bbmij=matprod2(dnewm, dsavm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, doldm); /* Bug Valgrind */
   }    /* dsavm=doldm; /\* dsavm is now diag [1/(w_1p1i+w_2 p2i)] but can be overwritten*\/ */
   free_vector(xp,1,npar);    /* doldm=dnewm; /\* doldm is now Px * diag [1/(w_1p1i+w_2 p2i)] *\/ */
   fclose(ficresprob);    /* dnewm=dsavm; /\* doldm is now Px * diag [1/(w_1p1i+w_2 p2i)] *\/ */
   fclose(ficresprobcov);    /* left Product of this matrix by diag matrix of prevalences (savm) */
   fclose(ficresprobcor);    for (j=1;j<=nlstate+ndeath;j++){
   fclose(ficgp);      for (ii=1;ii<=nlstate+ndeath;ii++){
   fclose(fichtm);        dsavm[ii][j]=(ii==j ? prevacurrent[(int)agefin][ii][ij] : 0.0);
 }      }
     } /* End j, At the end oldm is diag[1/(w_1p1i+w_2 p2i)] */
     ps=matprod2(doldm, dsavm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, dnewm); /* Bug Valgrind */
 /******************* Printing html file ***********/    /* newm or out is now diag[w_i] * Px * diag [1/(w_1p1i+w_2 p2i)] */
 void printinghtml(char fileres[], char title[], char datafile[], int firstpass, \    /* end bmij */
                   int lastpass, int stepm, int weightopt, char model[],\    return ps; 
                   int imx,int jmin, int jmax, double jmeanint,char rfileres[],\  }
                   int popforecast, int estepm ,\  /*************** transition probabilities ***************/ 
                   double jprev1, double mprev1,double anprev1, \  
                   double jprev2, double mprev2,double anprev2){  double **bpmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )
   int jj1, k1, i1, cpt;  {
   /*char optionfilehtm[FILENAMELENGTH];*/    /* According to parameters values stored in x and the covariate's values stored in cov,
   if((fichtm=fopen(optionfilehtm,"a"))==NULL)    {       computes the probability to be observed in state j being in state i by appying the
     printf("Problem with %s \n",optionfilehtm), exit(0);       model to the ncovmodel covariates (including constant and age).
     fprintf(ficlog,"Problem with %s \n",optionfilehtm), exit(0);       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
        ncth covariate in the global vector x is given by the formula:
    fprintf(fichtm,"<ul><li><h4>Result files (first order: no variance)</h4>\n       j<i nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel
  - 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       j>=i nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel
  - Estimated transition probabilities over %d (stepm) months: <a href=\"pij%s\">pij%s</a><br>\n       Computes ln(pij/pii) (lnpijopii), deduces pij/pii by exponentiation,
  - Stable prevalence in each health state: <a href=\"pl%s\">pl%s</a> <br>\n       sums on j different of i to get 1-pii/pii, deduces pii, and then all pij.
  - Life expectancies by age and initial health status (estepm=%2d months):       Outputs ps[i][j] the probability to be observed in j being in j according to
    <a href=\"e%s\">e%s</a> <br>\n</li>", \       the values of the covariates cov[nc] and corresponding parameter values x[nc+shiftij]
   jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,fileres,fileres,stepm,fileres,fileres,fileres,fileres,estepm,fileres,fileres);    */
     double s1, lnpijopii;
 fprintf(fichtm," \n<ul><li><b>Graphs</b></li><p>");    /*double t34;*/
     int i,j, nc, ii, jj;
  m=cptcoveff;  
  if (cptcovn < 1) {m=1;ncodemax[1]=1;}          for(i=1; i<= nlstate; i++){
                   for(j=1; j<i;j++){
  jj1=0;                          for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
  for(k1=1; k1<=m;k1++){                                  /*lnpijopii += param[i][j][nc]*cov[nc];*/
    for(i1=1; i1<=ncodemax[k1];i1++){                                  lnpijopii += x[nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel]*cov[nc];
      jj1++;                                  /*       printf("Int j<i s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
      if (cptcovn > 0) {                          }
        fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");                          ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
        for (cpt=1; cpt<=cptcoveff;cpt++)                          /*      printf("s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
          fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtab[jj1][cpt]]);                  }
        fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");                  for(j=i+1; j<=nlstate+ndeath;j++){
      }                          for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
      /* Pij */                                  /*lnpijopii += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];*/
      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>                                  lnpijopii += x[nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel]*cov[nc];
 <img src=\"pe%s%d1.png\">",stepm,strtok(optionfile, "."),jj1,strtok(optionfile, "."),jj1);                                      /*        printf("Int j>i s1=%.17e, lnpijopii=%.17e %lx %lx\n",s1,lnpijopii,s1,lnpijopii); */
      /* Quasi-incidences */                          }
      fprintf(fichtm,"<br>- Pij or Conditional probabilities to be observed in state j being in state i %d (stepm) months before but expressed in per year i.e. quasi incidences if stepm is small and probabilities too: pe%s%d2.png<br>                          ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
 <img src=\"pe%s%d2.png\">",stepm,strtok(optionfile, "."),jj1,strtok(optionfile, "."),jj1);                  }
        /* Stable prevalence in each health state */          }
        for(cpt=1; cpt<nlstate;cpt++){          
          fprintf(fichtm,"<br>- Stable prevalence in each health state : p%s%d%d.png<br>          for(i=1; i<= nlstate; i++){
 <img src=\"p%s%d%d.png\">",strtok(optionfile, "."),cpt,jj1,strtok(optionfile, "."),cpt,jj1);                  s1=0;
        }                  for(j=1; j<i; j++){
      for(cpt=1; cpt<=nlstate;cpt++) {                          s1+=exp(ps[i][j]); /* In fact sums pij/pii */
         fprintf(fichtm,"\n<br>- Health life expectancies by age and initial health state (%d): exp%s%d%d.png <br>                          /*printf("debug1 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
 <img src=\"exp%s%d%d.png\">",cpt,strtok(optionfile, "."),cpt,jj1,strtok(optionfile, "."),cpt,jj1);                  }
      }                  for(j=i+1; j<=nlstate+ndeath; j++){
      fprintf(fichtm,"\n<br>- Total life expectancy by age and                          s1+=exp(ps[i][j]); /* In fact sums pij/pii */
 health expectancies in states (1) and (2): e%s%d.png<br>                          /*printf("debug2 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
 <img src=\"e%s%d.png\">",strtok(optionfile, "."),jj1,strtok(optionfile, "."),jj1);                  }
    } /* end i1 */                  /* s1= sum_{j<>i} pij/pii=(1-pii)/pii and thus pii is known from s1 */
  }/* End k1 */                  ps[i][i]=1./(s1+1.);
  fprintf(fichtm,"</ul>");                  /* Computing other pijs */
                   for(j=1; j<i; j++)
                           ps[i][j]= exp(ps[i][j])*ps[i][i];
  fprintf(fichtm,"\n<br><li><h4> Result files (second order: variances)</h4>\n                  for(j=i+1; j<=nlstate+ndeath; j++)
  - Parameter file with estimated parameters and covariance matrix: <a href=\"%s\">%s</a> <br>\n                          ps[i][j]= exp(ps[i][j])*ps[i][i];
  - Variance of one-step probabilities: <a href=\"prob%s\">prob%s</a> <br>\n                  /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */
  - Variance-covariance of one-step probabilities: <a href=\"probcov%s\">probcov%s</a> <br>\n          } /* end i */
  - 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          for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){
  - Health expectancies with their variances (no covariance): <a href=\"t%s\">t%s</a> <br>\n                  for(jj=1; jj<= nlstate+ndeath; jj++){
  - 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);                          ps[ii][jj]=0;
                           ps[ii][ii]=1;
  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          /* Added for backcast */ /* Transposed matrix too */
         <br>",fileres,fileres,fileres,fileres);          for(jj=1; jj<= nlstate+ndeath; jj++){
  else                  s1=0.;
    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);                  for(ii=1; ii<= nlstate+ndeath; ii++){
 fprintf(fichtm," <ul><li><b>Graphs</b></li><p>");                          s1+=ps[ii][jj];
                   }
  m=cptcoveff;                  for(ii=1; ii<= nlstate; ii++){
  if (cptcovn < 1) {m=1;ncodemax[1]=1;}                          ps[ii][jj]=ps[ii][jj]/s1;
                   }
  jj1=0;          }
  for(k1=1; k1<=m;k1++){          /* Transposition */
    for(i1=1; i1<=ncodemax[k1];i1++){          for(jj=1; jj<= nlstate+ndeath; jj++){
      jj1++;                  for(ii=jj; ii<= nlstate+ndeath; ii++){
      if (cptcovn > 0) {                          s1=ps[ii][jj];
        fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");                          ps[ii][jj]=ps[jj][ii];
        for (cpt=1; cpt<=cptcoveff;cpt++)                          ps[jj][ii]=s1;
          fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtab[jj1][cpt]]);                  }
        fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");          }
      }          /* for(ii=1; ii<= nlstate+ndeath; ii++){ */
      for(cpt=1; cpt<=nlstate;cpt++) {          /*   for(jj=1; jj<= nlstate+ndeath; jj++){ */
        fprintf(fichtm,"<br>- Observed and stationary prevalence (with confident          /*      printf(" pmij  ps[%d][%d]=%lf ",ii,jj,ps[ii][jj]); */
 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);            /*   printf("\n "); */
      }          /* } */
    } /* end i1 */          /* printf("\n ");printf("%lf ",cov[2]);*/
  }/* End k1 */          /*
  fprintf(fichtm,"</ul>");                  for(i=1; i<= npar; i++) printf("%f ",x[i]);
 fclose(fichtm);                  goto end;*/
 }          return ps;
   }
 /******************* Gnuplot file **************/  
 void printinggnuplot(char fileres[], double ageminpar, double agemaxpar, double fage , char pathc[], double p[]){  
   /**************** Product of 2 matrices ******************/
   int m,cpt,k1,i,k,j,jk,k2,k3,ij,l;  
   int ng;  double **matprod2(double **out, double **in,int nrl, int nrh, int ncl, int nch, int ncolol, int ncoloh, double **b)
   if((ficgp=fopen(optionfilegnuplot,"a"))==NULL) {  {
     printf("Problem with file %s",optionfilegnuplot);    /* Computes the matrix product of in(1,nrh-nrl+1)(1,nch-ncl+1) times
     fprintf(ficlog,"Problem with file %s",optionfilegnuplot);       b(1,nch-ncl+1)(1,ncoloh-ncolol+1) into out(...) */
   }    /* in, b, out are matrice of pointers which should have been initialized 
        before: only the contents of out is modified. The function returns
 #ifdef windows       a pointer to pointers identical to out */
     fprintf(ficgp,"cd \"%s\" \n",pathc);    int i, j, k;
 #endif    for(i=nrl; i<= nrh; i++)
 m=pow(2,cptcoveff);      for(k=ncolol; k<=ncoloh; k++){
          out[i][k]=0.;
  /* 1eme*/        for(j=ncl; j<=nch; j++)
   for (cpt=1; cpt<= nlstate ; cpt ++) {          out[i][k] +=in[i][j]*b[j][k];
    for (k1=1; k1<= m ; k1 ++) {      }
     return out;
 #ifdef windows  }
      fprintf(ficgp,"\nset out \"v%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] \"vpl%s\" every :::%d::%d u 1:2 \"\%%lf",ageminpar,fage,fileres,k1-1,k1-1);  
 #endif  /************* Higher Matrix Product ***************/
 #ifdef unix  
 fprintf(ficgp,"\nset out \"v%s%d%d.png\" \n",strtok(optionfile, "."),cpt,k1);  double ***hpxij(double ***po, int nhstepm, double age, int hstepm, double *x, int nlstate, int stepm, double **oldm, double **savm, int ij )
 fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \nplot [%.f:%.f] \"vpl%s\" u 1:2 \"\%%lf",ageminpar,fage,fileres);  {
 #endif    /* Computes the transition matrix starting at age 'age' and combination of covariate values corresponding to ij over 
        'nhstepm*hstepm*stepm' months (i.e. until
 for (i=1; i<= nlstate ; i ++) {       age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying 
   if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");       nhstepm*hstepm matrices. 
   else fprintf(ficgp," \%%*lf (\%%*lf)");       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 
     fprintf(ficgp,"\" t\"Stationary prevalence\" w l 0,\"vpl%s\" every :::%d::%d u 1:($2+2*$3) \"\%%lf",fileres,k1-1,k1-1);       for the memory).
     for (i=1; i<= nlstate ; i ++) {       Model is determined by parameters x and covariates have to be 
   if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");       included manually here. 
   else fprintf(ficgp," \%%*lf (\%%*lf)");  
 }       */
   fprintf(ficgp,"\" t\"95\%% CI\" w l 1,\"vpl%s\" every :::%d::%d u 1:($2-2*$3) \"\%%lf",fileres,k1-1,k1-1);  
      for (i=1; i<= nlstate ; i ++) {    int i, j, d, h, k;
   if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");    double **out, cov[NCOVMAX+1];
   else fprintf(ficgp," \%%*lf (\%%*lf)");    double **newm;
 }      double agexact;
      fprintf(ficgp,"\" t\"\" w l 1,\"p%s\" every :::%d::%d u 1:($%d) t\"Observed prevalence \" w l 2",fileres,k1-1,k1-1,2+4*(cpt-1));    double agebegin, ageend;
 #ifdef unix  
 fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65\n");    /* Hstepm could be zero and should return the unit matrix */
 #endif    for (i=1;i<=nlstate+ndeath;i++)
    }      for (j=1;j<=nlstate+ndeath;j++){
   }        oldm[i][j]=(i==j ? 1.0 : 0.0);
   /*2 eme*/        po[i][j][0]=(i==j ? 1.0 : 0.0);
       }
   for (k1=1; k1<= m ; k1 ++) {    /* Even if hstepm = 1, at least one multiplication by the unit matrix */
     fprintf(ficgp,"\nset out \"e%s%d.png\" \n",strtok(optionfile, "."),k1);    for(h=1; h <=nhstepm; h++){
     fprintf(ficgp,"set ylabel \"Years\" \nset ter png small\nset size 0.65,0.65\nplot [%.f:%.f] ",ageminpar,fage);      for(d=1; d <=hstepm; d++){
            newm=savm;
     for (i=1; i<= nlstate+1 ; i ++) {        /* Covariates have to be included here again */
       k=2*i;        cov[1]=1.;
       fprintf(ficgp,"\"t%s\" every :::%d::%d u 1:2 \"\%%lf",fileres,k1-1,k1-1);        agexact=age+((h-1)*hstepm + (d-1))*stepm/YEARM; /* age just before transition */
       for (j=1; j<= nlstate+1 ; j ++) {        cov[2]=agexact;
   if (j==i) fprintf(ficgp," \%%lf (\%%lf)");        if(nagesqr==1)
   else fprintf(ficgp," \%%*lf (\%%*lf)");                                  cov[3]= agexact*agexact;
 }          for (k=1; k<=cptcovn;k++) 
       if (i== 1) fprintf(ficgp,"\" t\"TLE\" w l ,");                                  cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)];
       else fprintf(ficgp,"\" t\"LE in state (%d)\" w l ,",i-1);                          /* cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
     fprintf(ficgp,"\"t%s\" every :::%d::%d u 1:($2-$3*2) \"\%%lf",fileres,k1-1,k1-1);        for (k=1; k<=cptcovage;k++) /* Should start at cptcovn+1 */
       for (j=1; j<= nlstate+1 ; j ++) {                                  /* cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
         if (j==i) fprintf(ficgp," \%%lf (\%%lf)");                                  cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
         else fprintf(ficgp," \%%*lf (\%%*lf)");                          /* cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,Tvar[Tage[k]])]*cov[2]; */
 }          for (k=1; k<=cptcovprod;k++) /* Useless because included in cptcovn */
       fprintf(ficgp,"\" t\"\" w l 0,");                                  cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)]*nbcode[Tvard[k][2]][codtabm(ij,k)];
      fprintf(ficgp,"\"t%s\" every :::%d::%d u 1:($2+$3*2) \"\%%lf",fileres,k1-1,k1-1);                          /* cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,Tvard[k][1])]*nbcode[Tvard[k][2]][codtabm(ij,Tvard[k][2])]; */
       for (j=1; j<= nlstate+1 ; j ++) {  
   if (j==i) fprintf(ficgp," \%%lf (\%%lf)");  
   else fprintf(ficgp," \%%*lf (\%%*lf)");        /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/
 }          /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/
       if (i== (nlstate+1)) fprintf(ficgp,"\" t\"\" w l 0");                          /* right multiplication of oldm by the current matrix */
       else fprintf(ficgp,"\" t\"\" w l 0,");        out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, 
     }                     pmij(pmmij,cov,ncovmodel,x,nlstate));
   }        /* if((int)age == 70){ */
          /*        printf(" Forward hpxij age=%d agexact=%f d=%d nhstepm=%d hstepm=%d\n", (int) age, agexact, d, nhstepm, hstepm); */
   /*3eme*/        /*        for(i=1; i<=nlstate+ndeath; i++) { */
         /*          printf("%d pmmij ",i); */
   for (k1=1; k1<= m ; k1 ++) {        /*          for(j=1;j<=nlstate+ndeath;j++) { */
     for (cpt=1; cpt<= nlstate ; cpt ++) {        /*            printf("%f ",pmmij[i][j]); */
       k=2+nlstate*(2*cpt-2);        /*          } */
       fprintf(ficgp,"\nset out \"exp%s%d%d.png\" \n",strtok(optionfile, "."),cpt,k1);        /*          printf(" oldm "); */
       fprintf(ficgp,"set ter png small\nset size 0.65,0.65\nplot [%.f:%.f] \"e%s\" every :::%d::%d u 1:%d t \"e%d1\" w l",ageminpar,fage,fileres,k1-1,k1-1,k,cpt);        /*          for(j=1;j<=nlstate+ndeath;j++) { */
       /*fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d-2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);        /*            printf("%f ",oldm[i][j]); */
  for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");        /*          } */
 fprintf(ficgp,"\" t \"e%d1\" w l",cpt);        /*          printf("\n"); */
 fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%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);        savm=oldm;
         oldm=newm;
 */      }
       for (i=1; i< nlstate ; i ++) {      for(i=1; i<=nlstate+ndeath; i++)
         fprintf(ficgp," ,\"e%s\" every :::%d::%d u 1:%d t \"e%d%d\" w l",fileres,k1-1,k1-1,k+2*i,cpt,i+1);        for(j=1;j<=nlstate+ndeath;j++) {
                                   po[i][j][h]=newm[i][j];
       }                                  /*if(h==nhstepm) printf("po[%d][%d][%d]=%f ",i,j,h,po[i][j][h]);*/
     }        }
   }      /*printf("h=%d ",h);*/
      } /* end h */
   /* CV preval stat */          /*     printf("\n H=%d \n",h); */
     for (k1=1; k1<= m ; k1 ++) {    return po;
     for (cpt=1; cpt<nlstate ; cpt ++) {  }
       k=3;  
       fprintf(ficgp,"\nset out \"p%s%d%d.png\" \n",strtok(optionfile, "."),cpt,k1);  /************* Higher Back Matrix Product ***************/
       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/($%d",ageminpar,agemaxpar,fileres,k1,k+cpt+1,k+1);  /* double ***hbxij(double ***po, int nhstepm, double age, int hstepm, double *x, double ***prevacurrent, int nlstate, int stepm, double **oldm, double **savm, double **dnewm, double **doldm, double **dsavm, int ij ) */
   double ***hbxij(double ***po, int nhstepm, double age, int hstepm, double *x, double ***prevacurrent, int nlstate, int stepm, int ij )
       for (i=1; i< nlstate ; i ++)  {
         fprintf(ficgp,"+$%d",k+i+1);    /* Computes the transition matrix starting at age 'age' over
       fprintf(ficgp,")) t\"prev(%d,%d)\" w l",cpt,cpt+1);       'nhstepm*hstepm*stepm' months (i.e. until
             age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying
       l=3+(nlstate+ndeath)*cpt;       nhstepm*hstepm matrices.
       fprintf(ficgp,",\"pij%s\" u ($1==%d ? ($3):1/0):($%d/($%d",fileres,k1,l+cpt+1,l+1);       Output is stored in matrix po[i][j][h] for h every 'hstepm' step
       for (i=1; i< nlstate ; i ++) {       (typically every 2 years instead of every month which is too big
         l=3+(nlstate+ndeath)*cpt;       for the memory).
         fprintf(ficgp,"+$%d",l+i+1);       Model is determined by parameters x and covariates have to be
       }       included manually here.
       fprintf(ficgp,")) t\"prev(%d,%d)\" w l\n",cpt+1,cpt+1);    
     }    */
   }    
      int i, j, d, h, k;
   /* proba elementaires */    double **out, cov[NCOVMAX+1];
    for(i=1,jk=1; i <=nlstate; i++){    double **newm;
     for(k=1; k <=(nlstate+ndeath); k++){    double agexact;
       if (k != i) {    double agebegin, ageend;
         for(j=1; j <=ncovmodel; j++){    double **oldm, **savm;
           fprintf(ficgp,"p%d=%f ",jk,p[jk]);  
           jk++;    oldm=oldms;savm=savms;
           fprintf(ficgp,"\n");    /* Hstepm could be zero and should return the unit matrix */
         }    for (i=1;i<=nlstate+ndeath;i++)
       }      for (j=1;j<=nlstate+ndeath;j++){
     }        oldm[i][j]=(i==j ? 1.0 : 0.0);
    }        po[i][j][0]=(i==j ? 1.0 : 0.0);
       }
    for(ng=1; ng<=2;ng++){ /* Number of graphics: first is probabilities second is incidence per year*/    /* Even if hstepm = 1, at least one multiplication by the unit matrix */
      for(jk=1; jk <=m; jk++) {    for(h=1; h <=nhstepm; h++){
        fprintf(ficgp,"\nset out \"pe%s%d%d.png\" \n",strtok(optionfile, "."),jk,ng);      for(d=1; d <=hstepm; d++){
        if (ng==2)        newm=savm;
          fprintf(ficgp,"\nset ylabel \"Quasi-incidence per year\"\n");        /* Covariates have to be included here again */
        else        cov[1]=1.;
          fprintf(ficgp,"\nset title \"Probability\"\n");        agexact=age-((h-1)*hstepm + (d-1))*stepm/YEARM; /* age just before transition */
        fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65\nset log y\nplot  [%.f:%.f] ",ageminpar,agemaxpar);        /* agexact=age+((h-1)*hstepm + (d-1))*stepm/YEARM; /\* age just before transition *\/ */
        i=1;        cov[2]=agexact;
        for(k2=1; k2<=nlstate; k2++) {        if(nagesqr==1)
          k3=i;          cov[3]= agexact*agexact;
          for(k=1; k<=(nlstate+ndeath); k++) {        for (k=1; k<=cptcovn;k++)
            if (k != k2){          cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)];
              if(ng==2)        /* cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
                fprintf(ficgp," %f*exp(p%d+p%d*x",YEARM/stepm,i,i+1);        for (k=1; k<=cptcovage;k++) /* Should start at cptcovn+1 */
              else          /* cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
                fprintf(ficgp," exp(p%d+p%d*x",i,i+1);          cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
              ij=1;        /* cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,Tvar[Tage[k]])]*cov[2]; */
              for(j=3; j <=ncovmodel; j++) {        for (k=1; k<=cptcovprod;k++) /* Useless because included in cptcovn */
                if(((j-2)==Tage[ij]) &&(ij <=cptcovage)) {          cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)]*nbcode[Tvard[k][2]][codtabm(ij,k)];
                  fprintf(ficgp,"+p%d*%d*x",i+j-1,nbcode[Tvar[j-2]][codtab[jk][Tvar[j-2]]]);        /* cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,Tvard[k][1])]*nbcode[Tvard[k][2]][codtabm(ij,Tvard[k][2])]; */
                  ij++;                          
                }                          
                else        /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/
                  fprintf(ficgp,"+p%d*%d",i+j-1,nbcode[Tvar[j-2]][codtab[jk][j-2]]);        /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/
              }        /* Careful transposed matrix */
              fprintf(ficgp,")/(1");        /* age is in cov[2] */
                      /* out=matprod2(newm, bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent, dnewm, doldm, dsavm,ij),\ */
              for(k1=1; k1 <=nlstate; k1++){          /*                                                 1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); */
                fprintf(ficgp,"+exp(p%d+p%d*x",k3+(k1-1)*ncovmodel,k3+(k1-1)*ncovmodel+1);        out=matprod2(newm, bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent,ij),\
                ij=1;                     1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm);
                for(j=3; j <=ncovmodel; j++){        /* if((int)age == 70){ */
                  if(((j-2)==Tage[ij]) &&(ij <=cptcovage)) {        /*        printf(" Backward hbxij age=%d agexact=%f d=%d nhstepm=%d hstepm=%d\n", (int) age, agexact, d, nhstepm, hstepm); */
                    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+ndeath; i++) { */
                    ij++;        /*          printf("%d pmmij ",i); */
                  }        /*          for(j=1;j<=nlstate+ndeath;j++) { */
                  else        /*            printf("%f ",pmmij[i][j]); */
                    fprintf(ficgp,"+p%d*%d",k3+(k1-1)*ncovmodel+1+j-2,nbcode[Tvar[j-2]][codtab[jk][j-2]]);        /*          } */
                }        /*          printf(" oldm "); */
                fprintf(ficgp,")");        /*          for(j=1;j<=nlstate+ndeath;j++) { */
              }        /*            printf("%f ",oldm[i][j]); */
              fprintf(ficgp,") t \"p%d%d\" ", k2,k);        /*          } */
              if ((k+k2)!= (nlstate*2+ndeath)) fprintf(ficgp,",");        /*          printf("\n"); */
              i=i+ncovmodel;        /*        } */
            }        /* } */
          } /* end k */        savm=oldm;
        } /* end k2 */        oldm=newm;
      } /* end jk */      }
    } /* end ng */      for(i=1; i<=nlstate+ndeath; i++)
    fclose(ficgp);        for(j=1;j<=nlstate+ndeath;j++) {
 }  /* end gnuplot */          po[i][j][h]=newm[i][j];
           /*if(h==nhstepm) printf("po[%d][%d][%d]=%f ",i,j,h,po[i][j][h]);*/
         }
 /*************** Moving average **************/      /*printf("h=%d ",h);*/
 void movingaverage(double agedeb, double fage,double ageminpar, double ***mobaverage){    } /* end h */
     /*     printf("\n H=%d \n",h); */
   int i, cpt, cptcod;    return po;
     for (agedeb=ageminpar; agedeb<=fage; agedeb++)  }
       for (i=1; i<=nlstate;i++)  
         for (cptcod=1;cptcod<=ncodemax[cptcov];cptcod++)  
           mobaverage[(int)agedeb][i][cptcod]=0.;  #ifdef NLOPT
        double  myfunc(unsigned n, const double *p1, double *grad, void *pd){
     for (agedeb=ageminpar+4; agedeb<=fage; agedeb++){    double fret;
       for (i=1; i<=nlstate;i++){    double *xt;
         for (cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){    int j;
           for (cpt=0;cpt<=4;cpt++){    myfunc_data *d2 = (myfunc_data *) pd;
             mobaverage[(int)agedeb-2][i][cptcod]=mobaverage[(int)agedeb-2][i][cptcod]+probs[(int)agedeb-cpt][i][cptcod];  /* xt = (p1-1); */
           }    xt=vector(1,n); 
           mobaverage[(int)agedeb-2][i][cptcod]=mobaverage[(int)agedeb-2][i][cptcod]/5;    for (j=1;j<=n;j++)   xt[j]=p1[j-1]; /* xt[1]=p1[0] */
         }  
       }    fret=(d2->function)(xt); /*  p xt[1]@8 is fine */
     }    /* fret=(*func)(xt); /\*  p xt[1]@8 is fine *\/ */
        printf("Function = %.12lf ",fret);
 }    for (j=1;j<=n;j++) printf(" %d %.8lf", j, xt[j]); 
     printf("\n");
    free_vector(xt,1,n);
 /************** Forecasting ******************/    return fret;
 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){  }
    #endif
   int cpt, stepsize, hstepm, nhstepm, j,k,c, cptcod, i,h;  
   int *popage;  /*************** log-likelihood *************/
   double calagedate, agelim, kk1, kk2, yp,yp1,yp2,jprojmean,mprojmean,anprojmean;  double func( double *x)
   double *popeffectif,*popcount;  {
   double ***p3mat;    int i, ii, j, k, mi, d, kk;
   char fileresf[FILENAMELENGTH];          int ioffset;
     double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1];
  agelim=AGESUP;    double **out;
 calagedate=(anproj1+mproj1/12.+jproj1/365.-dateintmean)*YEARM;    double sw; /* Sum of weights */
     double lli; /* Individual log likelihood */
   prevalence(ageminpar, agemax, s, agev, nlstate, imx,Tvar,nbcode, ncodemax,mint,anint,dateprev1,dateprev2, calagedate);    int s1, s2;
      int iv=0, iqv=0, itv=0, iqtv=0 ; /* Index of varying covariate, fixed quantitative cov, time varying covariate */
      double bbh, survp;
   strcpy(fileresf,"f");    long ipmx;
   strcat(fileresf,fileres);    double agexact;
   if((ficresf=fopen(fileresf,"w"))==NULL) {    /*extern weight */
     printf("Problem with forecast resultfile: %s\n", fileresf);    /* We are differentiating ll according to initial status */
     fprintf(ficlog,"Problem with forecast resultfile: %s\n", fileresf);    /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
   }    /*for(i=1;i<imx;i++) 
   printf("Computing forecasting: result on file '%s' \n", fileresf);      printf(" %d\n",s[4][i]);
   fprintf(ficlog,"Computing forecasting: result on file '%s' \n", fileresf);    */
   
   if (cptcoveff==0) ncodemax[cptcoveff]=1;    ++countcallfunc;
   
   if (mobilav==1) {    cov[1]=1.;
     mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);  
     movingaverage(agedeb, fage, ageminpar, mobaverage);    for(k=1; k<=nlstate; k++) ll[k]=0.;
   }  
     if(mle==1){
   stepsize=(int) (stepm+YEARM-1)/YEARM;      for (i=1,ipmx=0, sw=0.; i<=imx; i++){
   if (stepm<=12) stepsize=1;        /* Computes the values of the ncovmodel covariates of the model
             depending if the covariates are fixed or varying (age dependent) and stores them in cov[]
   agelim=AGESUP;           Then computes with function pmij which return a matrix p[i][j] giving the elementary probability
             to be observed in j being in i according to the model.
   hstepm=1;         */
   hstepm=hstepm/stepm;        ioffset=2+nagesqr;
   yp1=modf(dateintmean,&yp);        for (k=1; k<=cptcovn;k++){ /* Simple and product covariates without age* products */
   anprojmean=yp;           cov[++ioffset]=covar[Tvar[k]][i];
   yp2=modf((yp1*12),&yp);        }
   mprojmean=yp;        for(iqv=1; iqv <= nqv; iqv++){ /* Varying quantitatives covariates */
   yp1=modf((yp2*30.5),&yp);          /* cov[2+nagesqr+cptcovn+iqv]=varq[mw[mi+1][i]][iqv][i]; */
   jprojmean=yp;        }
   if(jprojmean==0) jprojmean=1;  
   if(mprojmean==0) jprojmean=1;        /* 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] 
   fprintf(ficresf,"# Estimated date of observed prevalence: %.lf/%.lf/%.lf ",jprojmean,mprojmean,anprojmean);           has been calculated etc */
          /* For an individual i, wav[i] gives the number of effective waves */
   for(cptcov=1;cptcov<=i2;cptcov++){        /* We compute the contribution to Likelihood of each effective transition
     for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){           mw[mi][i] is real wave of the mi th effectve wave */
       k=k+1;        /* Then statuses are computed at each begin and end of an effective wave s1=s[ mw[mi][i] ][i];
       fprintf(ficresf,"\n#******");          s2=s[mw[mi+1][i]][i];
       for(j=1;j<=cptcoveff;j++) {          And the iv th varying covariate is the cotvar[mw[mi+1][i]][iv][i]
         fprintf(ficresf," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);          But if the variable is not in the model TTvar[iv] is the real variable effective in the model:
       }          meaning that decodemodel should be used cotvar[mw[mi+1][i]][TTvar[iv]][i]
       fprintf(ficresf,"******\n");        */
       fprintf(ficresf,"# StartingAge FinalAge");        for(mi=1; mi<= wav[i]-1; mi++){
       for(j=1; j<=nlstate+ndeath;j++) fprintf(ficresf," P.%d",j);          for(itv=1; itv <= ntv; itv++){ /* Varying dummy covariates */
                  cov[++ioffset]=cotvar[mw[mi+1][i]][itv][i];
                }
       for (cpt=0; cpt<=(anproj2-anproj1);cpt++) {          for(iqtv=1; iqtv <= nqtv; iqtv++){ /* Varying quantitatives covariates */
         fprintf(ficresf,"\n");            /* cov[2+nagesqr+cptcovn+nqv+ntv+iqtv]=varq[mw[mi+1][i]][iqtv][i]; */
         fprintf(ficresf,"\n# Forecasting at date %.lf/%.lf/%.lf ",jproj1,mproj1,anproj1+cpt);            }
           ioffset=2+nagesqr+cptcovn+nqv+ntv+nqtv;
         for (agedeb=(fage-((int)calagedate %12/12.)); agedeb>=(ageminpar-((int)calagedate %12)/12.); agedeb--){          for (ii=1;ii<=nlstate+ndeath;ii++)
           nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm);            for (j=1;j<=nlstate+ndeath;j++){
           nhstepm = nhstepm/hstepm;              oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                        savm[ii][j]=(ii==j ? 1.0 : 0.0);
           p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);            }
           oldm=oldms;savm=savms;          for(d=0; d<dh[mi][i]; d++){
           hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);              newm=savm;
                    agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
           for (h=0; h<=nhstepm; h++){            cov[2]=agexact;
             if (h==(int) (calagedate+YEARM*cpt)) {            if(nagesqr==1)
               fprintf(ficresf,"\n %.f %.f ",anproj1+cpt,agedeb+h*hstepm/YEARM*stepm);              cov[3]= agexact*agexact;  /* Should be changed here */
             }            for (kk=1; kk<=cptcovage;kk++) {
             for(j=1; j<=nlstate+ndeath;j++) {              cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact; /* Tage[kk] gives the data-covariate associated with age */
               kk1=0.;kk2=0;            }
               for(i=1; i<=nlstate;i++) {                          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                 if (mobilav==1)                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   kk1=kk1+p3mat[i][j][h]*mobaverage[(int)agedeb+1][i][cptcod];            savm=oldm;
                 else {            oldm=newm;
                   kk1=kk1+p3mat[i][j][h]*probs[(int)(agedeb+1)][i][cptcod];          } /* end mult */
                 }        
                          /*lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);*/ /* Original formula */
               }          /* But now since version 0.9 we anticipate for bias at large stepm.
               if (h==(int)(calagedate+12*cpt)){           * If stepm is larger than one month (smallest stepm) and if the exact delay 
                 fprintf(ficresf," %.3f", kk1);           * (in months) between two waves is not a multiple of stepm, we rounded to 
                                   * the nearest (and in case of equal distance, to the lowest) interval but now
               }           * we keep into memory the bias bh[mi][i] and also the previous matrix product
             }           * (i.e to dh[mi][i]-1) saved in 'savm'. Then we inter(extra)polate the
           }           * probability in order to take into account the bias as a fraction of the way
           free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);           * from savm to out if bh is negative or even beyond if bh is positive. bh varies
         }           * -stepm/2 to stepm/2 .
       }           * For stepm=1 the results are the same as for previous versions of Imach.
     }           * For stepm > 1 the results are less biased than in previous versions. 
   }           */
                  s1=s[mw[mi][i]][i];
   if (mobilav==1) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);          s2=s[mw[mi+1][i]][i];
           bbh=(double)bh[mi][i]/(double)stepm; 
   fclose(ficresf);          /* bias bh is positive if real duration
 }           * is higher than the multiple of stepm and negative otherwise.
 /************** Forecasting ******************/           */
 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){          /* lli= (savm[s1][s2]>1.e-8 ?(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]):log((1.+bbh)*out[s1][s2]));*/
            if( s2 > nlstate){ 
   int cpt, stepsize, hstepm, nhstepm, j,k,c, cptcod, i,h;            /* i.e. if s2 is a death state and if the date of death is known 
   int *popage;               then the contribution to the likelihood is the probability to 
   double calagedate, agelim, kk1, kk2, yp,yp1,yp2,jprojmean,mprojmean,anprojmean;               die between last step unit time and current  step unit time, 
   double *popeffectif,*popcount;               which is also equal to probability to die before dh 
   double ***p3mat,***tabpop,***tabpopprev;               minus probability to die before dh-stepm . 
   char filerespop[FILENAMELENGTH];               In version up to 0.92 likelihood was computed
           as if date of death was unknown. Death was treated as any other
   tabpop= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);          health state: the date of the interview describes the actual state
   tabpopprev= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);          and not the date of a change in health state. The former idea was
   agelim=AGESUP;          to consider that at each interview the state was recorded
   calagedate=(anpyram+mpyram/12.+jpyram/365.-dateintmean)*YEARM;          (healthy, disable or death) and IMaCh was corrected; but when we
            introduced the exact date of death then we should have modified
   prevalence(ageminpar, agemax, s, agev, nlstate, imx,Tvar,nbcode, ncodemax,mint,anint,dateprev1,dateprev2, calagedate);          the contribution of an exact death to the likelihood. This new
            contribution is smaller and very dependent of the step unit
            stepm. It is no more the probability to die between last interview
   strcpy(filerespop,"pop");          and month of death but the probability to survive from last
   strcat(filerespop,fileres);          interview up to one month before death multiplied by the
   if((ficrespop=fopen(filerespop,"w"))==NULL) {          probability to die within a month. Thanks to Chris
     printf("Problem with forecast resultfile: %s\n", filerespop);          Jackson for correcting this bug.  Former versions increased
     fprintf(ficlog,"Problem with forecast resultfile: %s\n", filerespop);          mortality artificially. The bad side is that we add another loop
   }          which slows down the processing. The difference can be up to 10%
   printf("Computing forecasting: result on file '%s' \n", filerespop);          lower mortality.
   fprintf(ficlog,"Computing forecasting: result on file '%s' \n", filerespop);            */
           /* If, at the beginning of the maximization mostly, the
   if (cptcoveff==0) ncodemax[cptcoveff]=1;             cumulative probability or probability to be dead is
              constant (ie = 1) over time d, the difference is equal to
   if (mobilav==1) {             0.  out[s1][3] = savm[s1][3]: probability, being at state
     mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);             s1 at precedent wave, to be dead a month before current
     movingaverage(agedeb, fage, ageminpar, mobaverage);             wave is equal to probability, being at state s1 at
   }             precedent wave, to be dead at mont of the current
              wave. Then the observed probability (that this person died)
   stepsize=(int) (stepm+YEARM-1)/YEARM;             is null according to current estimated parameter. In fact,
   if (stepm<=12) stepsize=1;             it should be very low but not zero otherwise the log go to
               infinity.
   agelim=AGESUP;          */
    /* #ifdef INFINITYORIGINAL */
   hstepm=1;  /*          lli=log(out[s1][s2] - savm[s1][s2]); */
   hstepm=hstepm/stepm;  /* #else */
    /*        if ((out[s1][s2] - savm[s1][s2]) < mytinydouble)  */
   if (popforecast==1) {  /*          lli=log(mytinydouble); */
     if((ficpop=fopen(popfile,"r"))==NULL) {  /*        else */
       printf("Problem with population file : %s\n",popfile);exit(0);  /*          lli=log(out[s1][s2] - savm[s1][s2]); */
       fprintf(ficlog,"Problem with population file : %s\n",popfile);exit(0);  /* #endif */
     }            lli=log(out[s1][s2] - savm[s1][s2]);
     popage=ivector(0,AGESUP);            
     popeffectif=vector(0,AGESUP);          } else if  ( s2==-1 ) { /* alive */
     popcount=vector(0,AGESUP);            for (j=1,survp=0. ; j<=nlstate; j++) 
                  survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
     i=1;              /*survp += out[s1][j]; */
     while ((c=fscanf(ficpop,"%d %lf\n",&popage[i],&popcount[i])) != EOF) i=i+1;            lli= log(survp);
              }
     imx=i;          else if  (s2==-4) { 
     for (i=1; i<imx;i++) popeffectif[popage[i]]=popcount[i];            for (j=3,survp=0. ; j<=nlstate; j++)  
   }              survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
             lli= log(survp); 
   for(cptcov=1;cptcov<=i2;cptcov++){          } 
    for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){          else if  (s2==-5) { 
       k=k+1;            for (j=1,survp=0. ; j<=2; j++)  
       fprintf(ficrespop,"\n#******");              survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
       for(j=1;j<=cptcoveff;j++) {            lli= log(survp); 
         fprintf(ficrespop," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);          } 
       }          else{
       fprintf(ficrespop,"******\n");            lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
       fprintf(ficrespop,"# Age");            /*  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 */
       for(j=1; j<=nlstate+ndeath;j++) fprintf(ficrespop," P.%d",j);          } 
       if (popforecast==1)  fprintf(ficrespop," [Population]");          /*lli=(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]);*/
                /*if(lli ==000.0)*/
       for (cpt=0; cpt<=0;cpt++) {          /*printf("bbh= %f lli=%f savm=%f out=%f %d\n",bbh,lli,savm[s1][s2], out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]],i); */
         fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);            ipmx +=1;
                  sw += weight[i];
         for (agedeb=(fage-((int)calagedate %12/12.)); agedeb>=(ageminpar-((int)calagedate %12)/12.); agedeb--){          ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
           nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm);          /* if (lli < log(mytinydouble)){ */
           nhstepm = nhstepm/hstepm;          /*   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); */
                    /*   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]); */
           p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);          /* } */
           oldm=oldms;savm=savms;        } /* end of wave */
           hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);        } /* end of individual */
            }  else if(mle==2){
           for (h=0; h<=nhstepm; h++){      for (i=1,ipmx=0, sw=0.; i<=imx; i++){
             if (h==(int) (calagedate+YEARM*cpt)) {        for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
               fprintf(ficrespop,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm);        for(mi=1; mi<= wav[i]-1; mi++){
             }          for (ii=1;ii<=nlstate+ndeath;ii++)
             for(j=1; j<=nlstate+ndeath;j++) {            for (j=1;j<=nlstate+ndeath;j++){
               kk1=0.;kk2=0;              oldm[ii][j]=(ii==j ? 1.0 : 0.0);
               for(i=1; i<=nlstate;i++) {                            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                 if (mobilav==1)            }
                   kk1=kk1+p3mat[i][j][h]*mobaverage[(int)agedeb+1][i][cptcod];          for(d=0; d<=dh[mi][i]; d++){
                 else {            newm=savm;
                   kk1=kk1+p3mat[i][j][h]*probs[(int)(agedeb+1)][i][cptcod];            agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                 }            cov[2]=agexact;
               }            if(nagesqr==1)
               if (h==(int)(calagedate+12*cpt)){              cov[3]= agexact*agexact;
                 tabpop[(int)(agedeb)][j][cptcod]=kk1;            for (kk=1; kk<=cptcovage;kk++) {
                   /*fprintf(ficrespop," %.3f", kk1);              cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
                     if (popforecast==1) fprintf(ficrespop," [%.f]", kk1*popeffectif[(int)agedeb+1]);*/            }
               }            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
             }                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
             for(i=1; i<=nlstate;i++){            savm=oldm;
               kk1=0.;            oldm=newm;
                 for(j=1; j<=nlstate;j++){          } /* end mult */
                   kk1= kk1+tabpop[(int)(agedeb)][j][cptcod];        
                 }          s1=s[mw[mi][i]][i];
                   tabpopprev[(int)(agedeb)][i][cptcod]=tabpop[(int)(agedeb)][i][cptcod]/kk1*popeffectif[(int)(agedeb+(calagedate+12*cpt)*hstepm/YEARM*stepm-1)];          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 */
             if (h==(int)(calagedate+12*cpt)) for(j=1; j<=nlstate;j++)          ipmx +=1;
               fprintf(ficrespop," %15.2f",tabpopprev[(int)(agedeb+1)][j][cptcod]);          sw += weight[i];
           }          ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
           free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);        } /* end of wave */
         }      } /* end of individual */
       }    }  else if(mle==3){  /* exponential inter-extrapolation */
        for (i=1,ipmx=0, sw=0.; i<=imx; i++){
   /******/        for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
         for(mi=1; mi<= wav[i]-1; mi++){
       for (cpt=1; cpt<=(anpyram1-anpyram);cpt++) {          for (ii=1;ii<=nlstate+ndeath;ii++)
         fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);              for (j=1;j<=nlstate+ndeath;j++){
         for (agedeb=(fage-((int)calagedate %12/12.)); agedeb>=(ageminpar-((int)calagedate %12)/12.); agedeb--){              oldm[ii][j]=(ii==j ? 1.0 : 0.0);
           nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm);              savm[ii][j]=(ii==j ? 1.0 : 0.0);
           nhstepm = nhstepm/hstepm;            }
                    for(d=0; d<dh[mi][i]; d++){
           p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);            newm=savm;
           oldm=oldms;savm=savms;            agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
           hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);              cov[2]=agexact;
           for (h=0; h<=nhstepm; h++){            if(nagesqr==1)
             if (h==(int) (calagedate+YEARM*cpt)) {              cov[3]= agexact*agexact;
               fprintf(ficresf,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm);            for (kk=1; kk<=cptcovage;kk++) {
             }              cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
             for(j=1; j<=nlstate+ndeath;j++) {            }
               kk1=0.;kk2=0;            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
               for(i=1; i<=nlstate;i++) {                                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                 kk1=kk1+p3mat[i][j][h]*tabpopprev[(int)agedeb+1][i][cptcod];                savm=oldm;
               }            oldm=newm;
               if (h==(int)(calagedate+12*cpt)) fprintf(ficresf," %15.2f", kk1);          } /* end mult */
             }        
           }          s1=s[mw[mi][i]][i];
           free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);          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;
   }          sw += weight[i];
            ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
   if (mobilav==1) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);        } /* end of wave */
       } /* end of individual */
   if (popforecast==1) {    }else if (mle==4){  /* ml=4 no inter-extrapolation */
     free_ivector(popage,0,AGESUP);      for (i=1,ipmx=0, sw=0.; i<=imx; i++){
     free_vector(popeffectif,0,AGESUP);        for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
     free_vector(popcount,0,AGESUP);        for(mi=1; mi<= wav[i]-1; mi++){
   }          for (ii=1;ii<=nlstate+ndeath;ii++)
   free_ma3x(tabpop,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);            for (j=1;j<=nlstate+ndeath;j++){
   free_ma3x(tabpopprev,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);              oldm[ii][j]=(ii==j ? 1.0 : 0.0);
   fclose(ficrespop);              savm[ii][j]=(ii==j ? 1.0 : 0.0);
 }            }
           for(d=0; d<dh[mi][i]; d++){
 /***********************************************/            newm=savm;
 /**************** Main Program *****************/            agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
 /***********************************************/            cov[2]=agexact;
             if(nagesqr==1)
 int main(int argc, char *argv[])              cov[3]= agexact*agexact;
 {            for (kk=1; kk<=cptcovage;kk++) {
               cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
   int i,j, k, n=MAXN,iter,m,size,cptcode, cptcod;            }
   double agedeb, agefin,hf;          
   double ageminpar=1.e20,agemin=1.e20, agemaxpar=-1.e20, agemax=-1.e20;            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                          1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
   double fret;            savm=oldm;
   double **xi,tmp,delta;            oldm=newm;
           } /* end mult */
   double dum; /* Dummy variable */        
   double ***p3mat;          s1=s[mw[mi][i]][i];
   int *indx;          s2=s[mw[mi+1][i]][i];
   char line[MAXLINE], linepar[MAXLINE];          if( s2 > nlstate){ 
   char path[80],pathc[80],pathcd[80],pathtot[80],model[80];            lli=log(out[s1][s2] - savm[s1][s2]);
   int firstobs=1, lastobs=10;          } else if  ( s2==-1 ) { /* alive */
   int sdeb, sfin; /* Status at beginning and end */            for (j=1,survp=0. ; j<=nlstate; j++) 
   int c,  h , cpt,l;              survp += out[s1][j];
   int ju,jl, mi;            lli= log(survp);
   int i1,j1, k1,k2,k3,jk,aa,bb, stepsize, ij;          }else{
   int jnais,jdc,jint4,jint1,jint2,jint3,**outcome,**adl,*tab;            lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
   int mobilav=0,popforecast=0;          }
   int hstepm, nhstepm;          ipmx +=1;
   double jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,jpyram, mpyram,anpyram,jpyram1, mpyram1,anpyram1, calagedate;          sw += weight[i];
           ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
   double bage, fage, age, agelim, agebase;  /*      printf("i=%6d s1=%1d s2=%1d mi=%1d mw=%1d dh=%3d prob=%10.6f w=%6.4f out=%10.6f sav=%10.6f\n",i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],out[s1][s2],savm[s1][s2]); */
   double ftolpl=FTOL;        } /* end of wave */
   double **prlim;      } /* end of individual */
   double *severity;    }else{  /* ml=5 no inter-extrapolation no jackson =0.8a */
   double ***param; /* Matrix of parameters */      for (i=1,ipmx=0, sw=0.; i<=imx; i++){
   double  *p;        for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
   double **matcov; /* Matrix of covariance */        for(mi=1; mi<= wav[i]-1; mi++){
   double ***delti3; /* Scale */          for (ii=1;ii<=nlstate+ndeath;ii++)
   double *delti; /* Scale */            for (j=1;j<=nlstate+ndeath;j++){
   double ***eij, ***vareij;              oldm[ii][j]=(ii==j ? 1.0 : 0.0);
   double **varpl; /* Variances of prevalence limits by age */              savm[ii][j]=(ii==j ? 1.0 : 0.0);
   double *epj, vepp;            }
   double kk1, kk2;          for(d=0; d<dh[mi][i]; d++){
   double dateprev1, dateprev2,jproj1,mproj1,anproj1,jproj2,mproj2,anproj2;            newm=savm;
              agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
             cov[2]=agexact;
   char *alph[]={"a","a","b","c","d","e"}, str[4];            if(nagesqr==1)
               cov[3]= agexact*agexact;
             for (kk=1; kk<=cptcovage;kk++) {
   char z[1]="c", occ;              cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
 #include <sys/time.h>            }
 #include <time.h>          
   char stra[80], strb[80], strc[80], strd[80],stre[80],modelsav[80];            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                           1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
   /* long total_usecs;            savm=oldm;
   struct timeval start_time, end_time;            oldm=newm;
            } /* end mult */
   gettimeofday(&start_time, (struct timezone*)0); */ /* at first time */        
   getcwd(pathcd, size);          s1=s[mw[mi][i]][i];
           s2=s[mw[mi+1][i]][i];
   printf("\n%s",version);          lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
   if(argc <=1){          ipmx +=1;
     printf("\nEnter the parameter file name: ");          sw += weight[i];
     scanf("%s",pathtot);          ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
   }          /*printf("i=%6d s1=%1d s2=%1d mi=%1d mw=%1d dh=%3d prob=%10.6f w=%6.4f out=%10.6f sav=%10.6f\n",i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],out[s1][s2],savm[s1][s2]);*/
   else{        } /* end of wave */
     strcpy(pathtot,argv[1]);      } /* end of individual */
   }    } /* End of if */
   /*if(getcwd(pathcd, 80)!= NULL)printf ("Error pathcd\n");*/    for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
   /*cygwin_split_path(pathtot,path,optionfile);    /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
     printf("pathtot=%s, path=%s, optionfile=%s\n",pathtot,path,optionfile);*/    l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
   /* cutv(path,optionfile,pathtot,'\\');*/    return -l;
   }
   split(pathtot,path,optionfile,optionfilext,optionfilefiname);  
    printf("pathtot=%s, path=%s, optionfile=%s optionfilext=%s optionfilefiname=%s\n",pathtot,path,optionfile,optionfilext,optionfilefiname);  /*************** log-likelihood *************/
   chdir(path);  double funcone( double *x)
   replace(pathc,path);  {
     /* Same as likeli but slower because of a lot of printf and if */
 /*-------- arguments in the command line --------*/    int i, ii, j, k, mi, d, kk;
     double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1];
   /* Log file */    double **out;
   strcat(filelog, optionfilefiname);    double lli; /* Individual log likelihood */
   strcat(filelog,".log");    /* */    double llt;
   if((ficlog=fopen(filelog,"w"))==NULL)    {    int s1, s2;
     printf("Problem with logfile %s\n",filelog);    double bbh, survp;
     goto end;    double agexact;
   }    double agebegin, ageend;
   fprintf(ficlog,"Log filename:%s\n",filelog);    /*extern weight */
   fprintf(ficlog,"\n%s",version);    /* We are differentiating ll according to initial status */
   fprintf(ficlog,"\nEnter the parameter file name: ");    /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
   fprintf(ficlog,"pathtot=%s, path=%s, optionfile=%s optionfilext=%s optionfilefiname=%s\n",pathtot,path,optionfile,optionfilext,optionfilefiname);    /*for(i=1;i<imx;i++) 
   fflush(ficlog);      printf(" %d\n",s[4][i]);
     */
   /* */    cov[1]=1.;
   strcpy(fileres,"r");  
   strcat(fileres, optionfilefiname);    for(k=1; k<=nlstate; k++) ll[k]=0.;
   strcat(fileres,".txt");    /* Other files have txt extension */  
     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
   /*---------arguments file --------*/      for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
       for(mi=1; mi<= wav[i]-1; mi++){
   if((ficpar=fopen(optionfile,"r"))==NULL)    {        for (ii=1;ii<=nlstate+ndeath;ii++)
     printf("Problem with optionfile %s\n",optionfile);          for (j=1;j<=nlstate+ndeath;j++){
     fprintf(ficlog,"Problem with optionfile %s\n",optionfile);            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
     goto end;            savm[ii][j]=(ii==j ? 1.0 : 0.0);
   }          }
         
   strcpy(filereso,"o");        agebegin=agev[mw[mi][i]][i]; /* Age at beginning of effective wave */
   strcat(filereso,fileres);        ageend=agev[mw[mi][i]][i] + (dh[mi][i])*stepm/YEARM; /* Age at end of effective wave and at the end of transition */
   if((ficparo=fopen(filereso,"w"))==NULL) {        for(d=0; d<dh[mi][i]; d++){  /* Delay between two effective waves */
     printf("Problem with Output resultfile: %s\n", filereso);          /*dh[m][i] or dh[mw[mi][i]][i] is the delay between two effective waves m=mw[mi][i]
     fprintf(ficlog,"Problem with Output resultfile: %s\n", filereso);            and mw[mi+1][i]. dh depends on stepm.*/
     goto end;          newm=savm;
   }          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
           cov[2]=agexact;
   /* Reads comments: lines beginning with '#' */          if(nagesqr==1)
   while((c=getc(ficpar))=='#' && c!= EOF){            cov[3]= agexact*agexact;
     ungetc(c,ficpar);          for (kk=1; kk<=cptcovage;kk++) {
     fgets(line, MAXLINE, ficpar);            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
     puts(line);          }
     fputs(line,ficparo);  
   }          /* savm=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,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%lf stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d model=%s\n",title, datafile, &lastobs, &firstpass,&lastpass,&ftol, &stepm, &ncovcol, &nlstate,&ndeath, &maxwav, &mle, &weightopt,model);          /* out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath, */
   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);          /*           1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate)); */
   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);          savm=oldm;
 while((c=getc(ficpar))=='#' && c!= EOF){          oldm=newm;
     ungetc(c,ficpar);        } /* end mult */
     fgets(line, MAXLINE, ficpar);        
     puts(line);        s1=s[mw[mi][i]][i];
     fputs(line,ficparo);        s2=s[mw[mi+1][i]][i];
   }        /* if(s2==-1){ */
   ungetc(c,ficpar);        /*        printf(" s1=%d, s2=%d i=%d \n", s1, s2, i); */
          /*        /\* exit(1); *\/ */
            /* } */
   covar=matrix(0,NCOVMAX,1,n);        bbh=(double)bh[mi][i]/(double)stepm; 
   cptcovn=0;        /* bias is positive if real duration
   if (strlen(model)>1) cptcovn=nbocc(model,'+')+1;         * is higher than the multiple of stepm and negative otherwise.
          */
   ncovmodel=2+cptcovn;        if( s2 > nlstate && (mle <5) ){  /* Jackson */
   nvar=ncovmodel-1; /* Suppressing age as a basic covariate */          lli=log(out[s1][s2] - savm[s1][s2]);
          } else if  ( s2==-1 ) { /* alive */
   /* Read guess parameters */          for (j=1,survp=0. ; j<=nlstate; j++) 
   /* Reads comments: lines beginning with '#' */            survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
   while((c=getc(ficpar))=='#' && c!= EOF){          lli= log(survp);
     ungetc(c,ficpar);        }else if (mle==1){
     fgets(line, MAXLINE, ficpar);          lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
     puts(line);        } else if(mle==2){
     fputs(line,ficparo);          lli= (savm[s1][s2]>(double)1.e-8 ?log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]):log((1.+bbh)*out[s1][s2])); /* linear interpolation */
   }        } else if(mle==3){  /* exponential inter-extrapolation */
   ungetc(c,ficpar);          lli= (savm[s1][s2]>(double)1.e-8 ?(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]):log((1.+bbh)*out[s1][s2])); /* exponential inter-extrapolation */
          } else if (mle==4){  /* mle=4 no inter-extrapolation */
   param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);          lli=log(out[s1][s2]); /* Original formula */
     for(i=1; i <=nlstate; i++)        } else{  /* mle=0 back to 1 */
     for(j=1; j <=nlstate+ndeath-1; j++){          lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
       fscanf(ficpar,"%1d%1d",&i1,&j1);          /*lli=log(out[s1][s2]); */ /* Original formula */
       fprintf(ficparo,"%1d%1d",i1,j1);        } /* End of if */
       if(mle==1)        ipmx +=1;
         printf("%1d%1d",i,j);        sw += weight[i];
       fprintf(ficlog,"%1d%1d",i,j);        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
       for(k=1; k<=ncovmodel;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]); */
         fscanf(ficpar," %lf",&param[i][j][k]);        if(globpr){
         if(mle==1){          fprintf(ficresilk,"%9ld %6.1f %6.1f %6d %2d %2d %2d %2d %3d %11.6f %8.4f %8.3f\
           printf(" %lf",param[i][j][k]);   %11.6f %11.6f %11.6f ", \
           fprintf(ficlog," %lf",param[i][j][k]);                  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]);
         else          for(k=1,llt=0.,l=0.; k<=nlstate; k++){
           fprintf(ficlog," %lf",param[i][j][k]);            llt +=ll[k]*gipmx/gsw;
         fprintf(ficparo," %lf",param[i][j][k]);            fprintf(ficresilk," %10.6f",-ll[k]*gipmx/gsw);
       }          }
       fscanf(ficpar,"\n");          fprintf(ficresilk," %10.6f\n", -llt);
       if(mle==1)        }
         printf("\n");      } /* end of wave */
       fprintf(ficlog,"\n");    } /* end of individual */
       fprintf(ficparo,"\n");    for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
     }    /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
      l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
     npar= (nlstate+ndeath-1)*nlstate*ncovmodel;    if(globpr==0){ /* First time we count the contributions and weights */
       gipmx=ipmx;
   p=param[1][1];      gsw=sw;
      }
   /* Reads comments: lines beginning with '#' */    return -l;
   while((c=getc(ficpar))=='#' && c!= EOF){  }
     ungetc(c,ficpar);  
     fgets(line, MAXLINE, ficpar);  
     puts(line);  /*************** function likelione ***********/
     fputs(line,ficparo);  void likelione(FILE *ficres,double p[], int npar, int nlstate, int *globpri, long *ipmx, double *sw, double *fretone, double (*funcone)(double []))
   }  {
   ungetc(c,ficpar);    /* This routine should help understanding what is done with 
        the selection of individuals/waves and
   delti3= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);       to check the exact contribution to the likelihood.
   delti=vector(1,npar); /* Scale of each paramater (output from hesscov) */       Plotting could be done.
   for(i=1; i <=nlstate; i++){     */
     for(j=1; j <=nlstate+ndeath-1; j++){    int k;
       fscanf(ficpar,"%1d%1d",&i1,&j1);  
       printf("%1d%1d",i,j);    if(*globpri !=0){ /* Just counts and sums, no printings */
       fprintf(ficparo,"%1d%1d",i1,j1);      strcpy(fileresilk,"ILK_"); 
       for(k=1; k<=ncovmodel;k++){      strcat(fileresilk,fileresu);
         fscanf(ficpar,"%le",&delti3[i][j][k]);      if((ficresilk=fopen(fileresilk,"w"))==NULL) {
         printf(" %le",delti3[i][j][k]);        printf("Problem with resultfile: %s\n", fileresilk);
         fprintf(ficparo," %le",delti3[i][j][k]);        fprintf(ficlog,"Problem with resultfile: %s\n", fileresilk);
       }      }
       fscanf(ficpar,"\n");      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");
       printf("\n");      fprintf(ficresilk, "#num_i ageb agend i s1 s2 mi mw dh likeli weight %%weight 2wlli out sav ");
       fprintf(ficparo,"\n");      /*  i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],2*weight[i]*lli,out[s1][s2],savm[s1][s2]); */
     }      for(k=1; k<=nlstate; k++) 
   }        fprintf(ficresilk," -2*gipw/gsw*weight*ll[%d]++",k);
   delti=delti3[1][1];      fprintf(ficresilk," -2*gipw/gsw*weight*ll(total)\n");
      }
   /* Reads comments: lines beginning with '#' */  
   while((c=getc(ficpar))=='#' && c!= EOF){    *fretone=(*funcone)(p);
     ungetc(c,ficpar);    if(*globpri !=0){
     fgets(line, MAXLINE, ficpar);      fclose(ficresilk);
     puts(line);      if (mle ==0)
     fputs(line,ficparo);        fprintf(fichtm,"\n<br>File of contributions to the likelihood computed with initial parameters and mle = %d.",mle);
   }      else if(mle >=1)
   ungetc(c,ficpar);        fprintf(fichtm,"\n<br>File of contributions to the likelihood computed with optimized parameters mle = %d.",mle);
        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));
   matcov=matrix(1,npar,1,npar);      
   for(i=1; i <=npar; i++){        
     fscanf(ficpar,"%s",&str);      for (k=1; k<= nlstate ; k++) {
     if(mle==1)        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> \
       printf("%s",str);  <img src=\"%s-p%dj.png\">",k,k,subdirf2(optionfilefiname,"ILK_"),k,subdirf2(optionfilefiname,"ILK_"),k,subdirf2(optionfilefiname,"ILK_"),k);
     fprintf(ficlog,"%s",str);      }
     fprintf(ficparo,"%s",str);      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> \
     for(j=1; j <=i; j++){  <img src=\"%s-ori.png\">",subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"));
       fscanf(ficpar," %le",&matcov[i][j]);      fprintf(fichtm,"<br>- and by state of destination <a href=\"%s-dest.png\">%s-dest.png</a><br> \
       if(mle==1){  <img src=\"%s-dest.png\">",subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"));
         printf(" %.5le",matcov[i][j]);      fflush(fichtm);
         fprintf(ficlog," %.5le",matcov[i][j]);    }
       }    return;
       else  }
         fprintf(ficlog," %.5le",matcov[i][j]);  
       fprintf(ficparo," %.5le",matcov[i][j]);  
     }  /*********** Maximum Likelihood Estimation ***************/
     fscanf(ficpar,"\n");  
     if(mle==1)  void mlikeli(FILE *ficres,double p[], int npar, int ncovmodel, int nlstate, double ftol, double (*func)(double []))
       printf("\n");  {
     fprintf(ficlog,"\n");    int i,j, iter=0;
     fprintf(ficparo,"\n");    double **xi;
   }    double fret;
   for(i=1; i <=npar; i++)    double fretone; /* Only one call to likelihood */
     for(j=i+1;j<=npar;j++)    /*  char filerespow[FILENAMELENGTH];*/
       matcov[i][j]=matcov[j][i];  
      #ifdef NLOPT
   if(mle==1)    int creturn;
     printf("\n");    nlopt_opt opt;
   fprintf(ficlog,"\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;
     double minf; /* the minimum objective value, upon return */
     /*-------- Rewriting paramater file ----------*/    double * p1; /* Shifted parameters from 0 instead of 1 */
      strcpy(rfileres,"r");    /* "Rparameterfile */    myfunc_data dinst, *d = &dinst;
      strcat(rfileres,optionfilefiname);    /* Parameter file first name*/  #endif
      strcat(rfileres,".");    /* */  
      strcat(rfileres,optionfilext);    /* Other files have txt extension */  
     if((ficres =fopen(rfileres,"w"))==NULL) {    xi=matrix(1,npar,1,npar);
       printf("Problem writing new parameter file: %s\n", fileres);goto end;    for (i=1;i<=npar;i++)
       fprintf(ficlog,"Problem writing new parameter file: %s\n", fileres);goto end;      for (j=1;j<=npar;j++)
     }        xi[i][j]=(i==j ? 1.0 : 0.0);
     fprintf(ficres,"#%s\n",version);    printf("Powell\n");  fprintf(ficlog,"Powell\n");
        strcpy(filerespow,"POW_"); 
     /*-------- data file ----------*/    strcat(filerespow,fileres);
     if((fic=fopen(datafile,"r"))==NULL)    {    if((ficrespow=fopen(filerespow,"w"))==NULL) {
       printf("Problem with datafile: %s\n", datafile);goto end;      printf("Problem with resultfile: %s\n", filerespow);
       fprintf(ficlog,"Problem with datafile: %s\n", datafile);goto end;      fprintf(ficlog,"Problem with resultfile: %s\n", filerespow);
     }    }
     fprintf(ficrespow,"# Powell\n# iter -2*LL");
     n= lastobs;    for (i=1;i<=nlstate;i++)
     severity = vector(1,maxwav);      for(j=1;j<=nlstate+ndeath;j++)
     outcome=imatrix(1,maxwav+1,1,n);        if(j!=i)fprintf(ficrespow," p%1d%1d",i,j);
     num=ivector(1,n);    fprintf(ficrespow,"\n");
     moisnais=vector(1,n);  #ifdef POWELL
     annais=vector(1,n);    powell(p,xi,npar,ftol,&iter,&fret,func);
     moisdc=vector(1,n);  #endif
     andc=vector(1,n);  
     agedc=vector(1,n);  #ifdef NLOPT
     cod=ivector(1,n);  #ifdef NEWUOA
     weight=vector(1,n);    opt = nlopt_create(NLOPT_LN_NEWUOA,npar);
     for(i=1;i<=n;i++) weight[i]=1.0; /* Equal weights, 1 by default */  #else
     mint=matrix(1,maxwav,1,n);    opt = nlopt_create(NLOPT_LN_BOBYQA,npar);
     anint=matrix(1,maxwav,1,n);  #endif
     s=imatrix(1,maxwav+1,1,n);    lb=vector(0,npar-1);
     adl=imatrix(1,maxwav+1,1,n);        for (i=0;i<npar;i++) lb[i]= -HUGE_VAL;
     tab=ivector(1,NCOVMAX);    nlopt_set_lower_bounds(opt, lb);
     ncodemax=ivector(1,8);    nlopt_set_initial_step1(opt, 0.1);
     
     i=1;    p1= (p+1); /*  p *(p+1)@8 and p *(p1)@8 are equal p1[0]=p[1] */
     while (fgets(line, MAXLINE, fic) != NULL)    {    d->function = func;
       if ((i >= firstobs) && (i <=lastobs)) {    printf(" Func %.12lf \n",myfunc(npar,p1,NULL,d));
            nlopt_set_min_objective(opt, myfunc, d);
         for (j=maxwav;j>=1;j--){    nlopt_set_xtol_rel(opt, ftol);
           cutv(stra, strb,line,' '); s[j][i]=atoi(strb);    if ((creturn=nlopt_optimize(opt, p1, &minf)) < 0) {
           strcpy(line,stra);      printf("nlopt failed! %d\n",creturn); 
           cutv(stra, strb,line,'/'); anint[j][i]=(double)(atoi(strb)); strcpy(line,stra);    }
           cutv(stra, strb,line,' '); mint[j][i]=(double)(atoi(strb)); strcpy(line,stra);    else {
         }      printf("found minimum after %d evaluations (NLOPT=%d)\n", countcallfunc ,NLOPT);
              printf("found minimum at f(%g,%g) = %0.10g\n", p[0], p[1], minf);
         cutv(stra, strb,line,'/'); andc[i]=(double)(atoi(strb)); strcpy(line,stra);      iter=1; /* not equal */
         cutv(stra, strb,line,' '); moisdc[i]=(double)(atoi(strb)); strcpy(line,stra);    }
     nlopt_destroy(opt);
         cutv(stra, strb,line,'/'); annais[i]=(double)(atoi(strb)); strcpy(line,stra);  #endif
         cutv(stra, strb,line,' '); moisnais[i]=(double)(atoi(strb)); strcpy(line,stra);    free_matrix(xi,1,npar,1,npar);
     fclose(ficrespow);
         cutv(stra, strb,line,' '); weight[i]=(double)(atoi(strb)); strcpy(line,stra);    printf("\n#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
         for (j=ncovcol;j>=1;j--){    fprintf(ficlog,"\n#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
           cutv(stra, strb,line,' '); covar[j][i]=(double)(atoi(strb)); strcpy(line,stra);    fprintf(ficres,"#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
         }  
         num[i]=atol(stra);  }
          
         /*if((s[2][i]==2) && (s[3][i]==-1)&&(s[4][i]==9)){  /**** Computes Hessian and covariance matrix ***/
           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;}*/  void hesscov(double **matcov, double **hess, double p[], int npar, double delti[], double ftolhess, double (*func)(double []))
   {
         i=i+1;    double  **a,**y,*x,pd;
       }    /* double **hess; */
     }    int i, j;
     /* printf("ii=%d", ij);    int *indx;
        scanf("%d",i);*/  
   imx=i-1; /* Number of individuals */    double hessii(double p[], double delta, int theta, double delti[],double (*func)(double []),int npar);
     double hessij(double p[], double **hess, double delti[], int i, int j,double (*func)(double []),int npar);
   /* for (i=1; i<=imx; i++){    void lubksb(double **a, int npar, int *indx, double b[]) ;
     if ((s[1][i]==3) && (s[2][i]==2)) s[2][i]=3;    void ludcmp(double **a, int npar, int *indx, double *d) ;
     if ((s[2][i]==3) && (s[3][i]==2)) s[3][i]=3;    double gompertz(double p[]);
     if ((s[3][i]==3) && (s[4][i]==2)) s[4][i]=3;    /* hess=matrix(1,npar,1,npar); */
     }*/  
    /*  for (i=1; i<=imx; i++){    printf("\nCalculation of the hessian matrix. Wait...\n");
      if (s[4][i]==9)  s[4][i]=-1;    fprintf(ficlog,"\nCalculation of the hessian matrix. Wait...\n");
      printf("%d %.lf %.lf %.lf %.lf/%.lf %.lf/%.lf %.lf/%.lf %d %.lf/%.lf %d %.lf/%.lf %d %.lf/%.lf %d\n",num[i],(covar[1][i]), (covar[2][i]), (weight[i]), (moisnais[i]), (annais[i]), (moisdc[i]), (andc[i]), (mint[1][i]), (anint[1][i]), (s[1][i]),  (mint[2][i]), (anint[2][i]), (s[2][i]),  (mint[3][i]), (anint[3][i]), (s[3][i]),  (mint[4][i]), (anint[4][i]), (s[4][i]));}*/    for (i=1;i<=npar;i++){
        printf("%d-",i);fflush(stdout);
        fprintf(ficlog,"%d-",i);fflush(ficlog);
   /* Calculation of the number of parameter from char model*/     
   Tvar=ivector(1,15); /* stores the number n of the covariates in Vm+Vn at 1 and m at 2 */       hess[i][i]=hessii(p,ftolhess,i,delti,func,npar);
   Tprod=ivector(1,15);      
   Tvaraff=ivector(1,15);      /*  printf(" %f ",p[i]);
   Tvard=imatrix(1,15,1,2);          printf(" %lf %lf %lf",hess[i][i],ftolhess,delti[i]);*/
   Tage=ivector(1,15);          }
        
   if (strlen(model) >1){    for (i=1;i<=npar;i++) {
     j=0, j1=0, k1=1, k2=1;      for (j=1;j<=npar;j++)  {
     j=nbocc(model,'+');        if (j>i) { 
     j1=nbocc(model,'*');          printf(".%d-%d",i,j);fflush(stdout);
     cptcovn=j+1;          fprintf(ficlog,".%d-%d",i,j);fflush(ficlog);
     cptcovprod=j1;          hess[i][j]=hessij(p,hess, delti,i,j,func,npar);
              
     strcpy(modelsav,model);          hess[j][i]=hess[i][j];    
     if ((strcmp(model,"age")==0) || (strcmp(model,"age*age")==0)){          /*printf(" %lf ",hess[i][j]);*/
       printf("Error. Non available option model=%s ",model);        }
       fprintf(ficlog,"Error. Non available option model=%s ",model);      }
       goto end;    }
     }    printf("\n");
        fprintf(ficlog,"\n");
     for(i=(j+1); i>=1;i--){  
       cutv(stra,strb,modelsav,'+'); /* keeps in strb after the last + */    printf("\nInverting the hessian to get the covariance matrix. Wait...\n");
       if (nbocc(modelsav,'+')==0) strcpy(strb,modelsav); /* and analyze it */    fprintf(ficlog,"\nInverting the hessian to get the covariance matrix. Wait...\n");
       /*      printf("i=%d a=%s b=%s sav=%s\n",i, stra,strb,modelsav);*/    
       /*scanf("%d",i);*/    a=matrix(1,npar,1,npar);
       if (strchr(strb,'*')) {  /* Model includes a product */    y=matrix(1,npar,1,npar);
         cutv(strd,strc,strb,'*'); /* strd*strc  Vm*Vn (if not *age)*/    x=vector(1,npar);
         if (strcmp(strc,"age")==0) { /* Vn*age */    indx=ivector(1,npar);
           cptcovprod--;    for (i=1;i<=npar;i++)
           cutv(strb,stre,strd,'V');      for (j=1;j<=npar;j++) a[i][j]=hess[i][j];
           Tvar[i]=atoi(stre); /* computes n in Vn and stores in Tvar*/    ludcmp(a,npar,indx,&pd);
           cptcovage++;  
             Tage[cptcovage]=i;    for (j=1;j<=npar;j++) {
             /*printf("stre=%s ", stre);*/      for (i=1;i<=npar;i++) x[i]=0;
         }      x[j]=1;
         else if (strcmp(strd,"age")==0) { /* or age*Vn */      lubksb(a,npar,indx,x);
           cptcovprod--;      for (i=1;i<=npar;i++){ 
           cutv(strb,stre,strc,'V');        matcov[i][j]=x[i];
           Tvar[i]=atoi(stre);      }
           cptcovage++;    }
           Tage[cptcovage]=i;  
         }    printf("\n#Hessian matrix#\n");
         else {  /* Age is not in the model */    fprintf(ficlog,"\n#Hessian matrix#\n");
           cutv(strb,stre,strc,'V'); /* strc= Vn, stre is n*/    for (i=1;i<=npar;i++) { 
           Tvar[i]=ncovcol+k1;      for (j=1;j<=npar;j++) { 
           cutv(strb,strc,strd,'V'); /* strd was Vm, strc is m */        printf("%.6e ",hess[i][j]);
           Tprod[k1]=i;        fprintf(ficlog,"%.6e ",hess[i][j]);
           Tvard[k1][1]=atoi(strc); /* m*/      }
           Tvard[k1][2]=atoi(stre); /* n */      printf("\n");
           Tvar[cptcovn+k2]=Tvard[k1][1];      fprintf(ficlog,"\n");
           Tvar[cptcovn+k2+1]=Tvard[k1][2];    }
           for (k=1; k<=lastobs;k++)  
             covar[ncovcol+k1][k]=covar[atoi(stre)][k]*covar[atoi(strc)][k];    /* printf("\n#Covariance matrix#\n"); */
           k1++;    /* fprintf(ficlog,"\n#Covariance matrix#\n"); */
           k2=k2+2;    /* for (i=1;i<=npar;i++) {  */
         }    /*   for (j=1;j<=npar;j++) {  */
       }    /*     printf("%.6e ",matcov[i][j]); */
       else { /* no more sum */    /*     fprintf(ficlog,"%.6e ",matcov[i][j]); */
         /*printf("d=%s c=%s b=%s\n", strd,strc,strb);*/    /*   } */
        /*  scanf("%d",i);*/    /*   printf("\n"); */
       cutv(strd,strc,strb,'V');    /*   fprintf(ficlog,"\n"); */
       Tvar[i]=atoi(strc);    /* } */
       }  
       strcpy(modelsav,stra);      /* Recompute Inverse */
       /*printf("a=%s b=%s sav=%s\n", stra,strb,modelsav);    /* for (i=1;i<=npar;i++) */
         scanf("%d",i);*/    /*   for (j=1;j<=npar;j++) a[i][j]=matcov[i][j]; */
     } /* end of loop + */    /* ludcmp(a,npar,indx,&pd); */
   } /* end model */  
      /*  printf("\n#Hessian matrix recomputed#\n"); */
   /* printf("tvar1=%d tvar2=%d tvar3=%d cptcovage=%d Tage=%d",Tvar[1],Tvar[2],Tvar[3],cptcovage,Tage[1]);  
   printf("cptcovprod=%d ", cptcovprod);    /* for (j=1;j<=npar;j++) { */
   fprintf(ficlog,"cptcovprod=%d ", cptcovprod);    /*   for (i=1;i<=npar;i++) x[i]=0; */
   scanf("%d ",i);*/    /*   x[j]=1; */
     fclose(fic);    /*   lubksb(a,npar,indx,x); */
     /*   for (i=1;i<=npar;i++){  */
     /*  if(mle==1){*/    /*     y[i][j]=x[i]; */
     if (weightopt != 1) { /* Maximisation without weights*/    /*     printf("%.3e ",y[i][j]); */
       for(i=1;i<=n;i++) weight[i]=1.0;    /*     fprintf(ficlog,"%.3e ",y[i][j]); */
     }    /*   } */
     /*-calculation of age at interview from date of interview and age at death -*/    /*   printf("\n"); */
     agev=matrix(1,maxwav,1,imx);    /*   fprintf(ficlog,"\n"); */
     /* } */
     for (i=1; i<=imx; i++) {  
       for(m=2; (m<= maxwav); m++) {    /* Verifying the inverse matrix */
        if ((mint[m][i]== 99) && (s[m][i] <= nlstate)){  #ifdef DEBUGHESS
          anint[m][i]=9999;    y=matprod2(y,hess,1,npar,1,npar,1,npar,matcov);
          s[m][i]=-1;  
        }     printf("\n#Verification: multiplying the matrix of covariance by the Hessian matrix, should be unity:#\n");
      if(moisdc[i]==99 && andc[i]==9999 & s[m][i]>nlstate) s[m][i]=-1;     fprintf(ficlog,"\n#Verification: multiplying the matrix of covariance by the Hessian matrix. Should be unity:#\n");
       }  
     }    for (j=1;j<=npar;j++) {
       for (i=1;i<=npar;i++){ 
     for (i=1; i<=imx; i++)  {        printf("%.2f ",y[i][j]);
       agedc[i]=(moisdc[i]/12.+andc[i])-(moisnais[i]/12.+annais[i]);        fprintf(ficlog,"%.2f ",y[i][j]);
       for(m=1; (m<= maxwav); m++){      }
         if(s[m][i] >0){      printf("\n");
           if (s[m][i] >= nlstate+1) {      fprintf(ficlog,"\n");
             if(agedc[i]>0)    }
               if(moisdc[i]!=99 && andc[i]!=9999)  #endif
                 agev[m][i]=agedc[i];  
             /*if(moisdc[i]==99 && andc[i]==9999) s[m][i]=-1;*/    free_matrix(a,1,npar,1,npar);
            else {    free_matrix(y,1,npar,1,npar);
               if (andc[i]!=9999){    free_vector(x,1,npar);
               printf("Warning negative age at death: %d line:%d\n",num[i],i);    free_ivector(indx,1,npar);
               fprintf(ficlog,"Warning negative age at death: %d line:%d\n",num[i],i);    /* free_matrix(hess,1,npar,1,npar); */
               agev[m][i]=-1;  
               }  
             }  }
           }  
           else if(s[m][i] !=9){ /* Should no more exist */  /*************** hessian matrix ****************/
             agev[m][i]=(mint[m][i]/12.+1./24.+anint[m][i])-(moisnais[i]/12.+1./24.+annais[i]);  double hessii(double x[], double delta, int theta, double delti[], double (*func)(double []), int npar)
             if(mint[m][i]==99 || anint[m][i]==9999)  { /* Around values of x, computes the function func and returns the scales delti and hessian */
               agev[m][i]=1;    int i;
             else if(agev[m][i] <agemin){    int l=1, lmax=20;
               agemin=agev[m][i];    double k1,k2, res, fx;
               /*printf(" Min anint[%d][%d]=%.2f annais[%d]=%.2f, agemin=%.2f\n",m,i,anint[m][i], i,annais[i], agemin);*/    double p2[MAXPARM+1]; /* identical to x */
             }    double delt=0.0001, delts, nkhi=10.,nkhif=1., khi=1.e-4;
             else if(agev[m][i] >agemax){    int k=0,kmax=10;
               agemax=agev[m][i];    double l1;
              /* printf(" anint[%d][%d]=%.0f annais[%d]=%.0f, agemax=%.0f\n",m,i,anint[m][i], i,annais[i], agemax);*/  
             }    fx=func(x);
             /*agev[m][i]=anint[m][i]-annais[i];*/    for (i=1;i<=npar;i++) p2[i]=x[i];
             /*   agev[m][i] = age[i]+2*m;*/    for(l=0 ; l <=lmax; l++){  /* Enlarging the zone around the Maximum */
           }      l1=pow(10,l);
           else { /* =9 */      delts=delt;
             agev[m][i]=1;      for(k=1 ; k <kmax; k=k+1){
             s[m][i]=-1;        delt = delta*(l1*k);
           }        p2[theta]=x[theta] +delt;
         }        k1=func(p2)-fx;   /* Might be negative if too close to the theoretical maximum */
         else /*= 0 Unknown */        p2[theta]=x[theta]-delt;
           agev[m][i]=1;        k2=func(p2)-fx;
       }        /*res= (k1-2.0*fx+k2)/delt/delt; */
            res= (k1+k2)/delt/delt/2.; /* Divided by 2 because L and not 2*L */
     }        
     for (i=1; i<=imx; i++)  {  #ifdef DEBUGHESSII
       for(m=1; (m<= maxwav); m++){        printf("%d %d k1=%.12e k2=%.12e xk1=%.12e xk2=%.12e delt=%.12e res=%.12e l=%d k=%d,fx=%.12e\n",theta,theta,k1,k2,x[theta]+delt,x[theta]-delt,delt,res, l, k,fx);
         if (s[m][i] > (nlstate+ndeath)) {        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);
           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);    #endif
           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);          /*if(fabs(k1-2.0*fx+k2) <1.e-13){ */
           goto end;        if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)){
         }          k=kmax;
       }        }
     }        else if((k1 >khi/nkhif) || (k2 >khi/nkhif)){ /* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. */
           k=kmax; l=lmax*10;
 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);        else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){ 
           delts=delt;
     free_vector(severity,1,maxwav);        }
     free_imatrix(outcome,1,maxwav+1,1,n);      } /* End loop k */
     free_vector(moisnais,1,n);    }
     free_vector(annais,1,n);    delti[theta]=delts;
     /* free_matrix(mint,1,maxwav,1,n);    return res; 
        free_matrix(anint,1,maxwav,1,n);*/    
     free_vector(moisdc,1,n);  }
     free_vector(andc,1,n);  
   double hessij( double x[], double **hess, double delti[], int thetai,int thetaj,double (*func)(double []),int npar)
      {
     wav=ivector(1,imx);    int i;
     dh=imatrix(1,lastpass-firstpass+1,1,imx);    int l=1, lmax=20;
     mw=imatrix(1,lastpass-firstpass+1,1,imx);    double k1,k2,k3,k4,res,fx;
        double p2[MAXPARM+1];
     /* Concatenates waves */    int k, kmax=1;
       concatwav(wav, dh, mw, s, agedc, agev,  firstpass, lastpass, imx, nlstate, stepm);    double v1, v2, cv12, lc1, lc2;
   
     int firstime=0;
       Tcode=ivector(1,100);    
       nbcode=imatrix(0,NCOVMAX,0,NCOVMAX);    fx=func(x);
       ncodemax[1]=1;    for (k=1; k<=kmax; k=k+10) {
       if (cptcovn > 0) tricode(Tvar,nbcode,imx);      for (i=1;i<=npar;i++) p2[i]=x[i];
            p2[thetai]=x[thetai]+delti[thetai]*k;
    codtab=imatrix(1,100,1,10);      p2[thetaj]=x[thetaj]+delti[thetaj]*k;
    h=0;      k1=func(p2)-fx;
    m=pow(2,cptcoveff);    
        p2[thetai]=x[thetai]+delti[thetai]*k;
    for(k=1;k<=cptcoveff; k++){      p2[thetaj]=x[thetaj]-delti[thetaj]*k;
      for(i=1; i <=(m/pow(2,k));i++){      k2=func(p2)-fx;
        for(j=1; j <= ncodemax[k]; j++){    
          for(cpt=1; cpt <=(m/pow(2,cptcoveff+1-k)); cpt++){      p2[thetai]=x[thetai]-delti[thetai]*k;
            h++;      p2[thetaj]=x[thetaj]+delti[thetaj]*k;
            if (h>m) h=1;codtab[h][k]=j;codtab[h][Tvar[k]]=j;      k3=func(p2)-fx;
            /*  printf("h=%d k=%d j=%d codtab[h][k]=%d tvar[k]=%d \n",h, k,j,codtab[h][k],Tvar[k]);*/    
          }      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 */
    /* printf("codtab[1][2]=%d codtab[2][2]=%d",codtab[1][2],codtab[2][2]);      if(k1*k2*k3*k4 <0.){
       codtab[1][2]=1;codtab[2][2]=2; */        firstime=1;
    /* for(i=1; i <=m ;i++){        kmax=kmax+10;
       for(k=1; k <=cptcovn; k++){      }
       printf("i=%d k=%d %d %d ",i,k,codtab[i][k], cptcoveff);      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);
       printf("\n");        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);
       scanf("%d",i);*/        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);
          }
    /* Calculates basic frequencies. Computes observed prevalence at single age  #ifdef DEBUGHESSIJ
        and prints on file fileres'p'. */      v1=hess[thetai][thetai];
       v2=hess[thetaj][thetaj];
          cv12=res;
          /* Computing eigen value of Hessian matrix */
     pmmij= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */      lc1=((v1+v2)+sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
     oldms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */      lc2=((v1+v2)-sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
     newms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */      if ((lc2 <0) || (lc1 <0) ){
     savms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */        printf("Warning: sub Hessian matrix '%d%d' does not have positive eigen values \n",thetai,thetaj);
     oldm=oldms; newm=newms; savm=savms; /* Keeps fixed addresses to free */        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);
     /* For Powell, parameters are in a vector p[] starting at p[1]        fprintf(ficlog,"%d %d k=%d, k1=%.12e k2=%.12e k3=%.12e k4=%.12e delti/k=%.12e deltj/k=%.12e, xi-de/k=%.12e xj-de/k=%.12e  res=%.12e k1234=%.12e,k1-2=%.12e,k3-4=%.12e\n",thetai,thetaj,k,k1,k2,k3,k4,delti[thetai]/k,delti[thetaj]/k,x[thetai]-delti[thetai]/k,x[thetaj]-delti[thetaj]/k, res,k1-k2-k3+k4,k1-k2,k3-k4);
        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) */  #endif
     }
     if(mle==1){    return res;
     mlikeli(ficres,p, npar, ncovmodel, nlstate, ftol, func);  }
     }  
          /* Not done yet: Was supposed to fix if not exactly at the maximum */
     /*--------- results files --------------*/  /* double hessij( double x[], double delti[], int thetai,int thetaj,double (*func)(double []),int npar) */
     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);  /* { */
    /*   int i; */
   /*   int l=1, lmax=20; */
    jk=1;  /*   double k1,k2,k3,k4,res,fx; */
    fprintf(ficres,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");  /*   double p2[MAXPARM+1]; */
    printf("# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");  /*   double delt=0.0001, delts, nkhi=10.,nkhif=1., khi=1.e-4; */
    fprintf(ficlog,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");  /*   int k=0,kmax=10; */
    for(i=1,jk=1; i <=nlstate; i++){  /*   double l1; */
      for(k=1; k <=(nlstate+ndeath); k++){    
        if (k != i)  /*   fx=func(x); */
          {  /*   for(l=0 ; l <=lmax; l++){  /\* Enlarging the zone around the Maximum *\/ */
            printf("%d%d ",i,k);  /*     l1=pow(10,l); */
            fprintf(ficlog,"%d%d ",i,k);  /*     delts=delt; */
            fprintf(ficres,"%1d%1d ",i,k);  /*     for(k=1 ; k <kmax; k=k+1){ */
            for(j=1; j <=ncovmodel; j++){  /*       delt = delti*(l1*k); */
              printf("%f ",p[jk]);  /*       for (i=1;i<=npar;i++) p2[i]=x[i]; */
              fprintf(ficlog,"%f ",p[jk]);  /*       p2[thetai]=x[thetai]+delti[thetai]/k; */
              fprintf(ficres,"%f ",p[jk]);  /*       p2[thetaj]=x[thetaj]+delti[thetaj]/k; */
              jk++;  /*       k1=func(p2)-fx; */
            }        
            printf("\n");  /*       p2[thetai]=x[thetai]+delti[thetai]/k; */
            fprintf(ficlog,"\n");  /*       p2[thetaj]=x[thetaj]-delti[thetaj]/k; */
            fprintf(ficres,"\n");  /*       k2=func(p2)-fx; */
          }        
      }  /*       p2[thetai]=x[thetai]-delti[thetai]/k; */
    }  /*       p2[thetaj]=x[thetaj]+delti[thetaj]/k; */
    if(mle==1){  /*       k3=func(p2)-fx; */
      /* Computing hessian and covariance matrix */        
      ftolhess=ftol; /* Usually correct */  /*       p2[thetai]=x[thetai]-delti[thetai]/k; */
      hesscov(matcov, p, npar, delti, ftolhess, func);  /*       p2[thetaj]=x[thetaj]-delti[thetaj]/k; */
    }  /*       k4=func(p2)-fx; */
    fprintf(ficres,"# Scales (for hessian or gradient estimation)\n");  /*       res=(k1-k2-k3+k4)/4.0/delti[thetai]*k/delti[thetaj]*k/2.; /\* Because of L not 2*L *\/ */
    printf("# Scales (for hessian or gradient estimation)\n");  /* #ifdef DEBUGHESSIJ */
    fprintf(ficlog,"# Scales (for hessian or gradient estimation)\n");  /*       printf("%d %d k=%d, k1=%.12e k2=%.12e k3=%.12e k4=%.12e delti/k=%.12e deltj/k=%.12e, xi-de/k=%.12e xj-de/k=%.12e  res=%.12e k1234=%.12e,k1-2=%.12e,k3-4=%.12e\n",thetai,thetaj,k,k1,k2,k3,k4,delti[thetai]/k,delti[thetaj]/k,x[thetai]-delti[thetai]/k,x[thetaj]-delti[thetaj]/k, res,k1-k2-k3+k4,k1-k2,k3-k4); */
    for(i=1,jk=1; i <=nlstate; i++){  /*       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); */
      for(j=1; j <=nlstate+ndeath; j++){  /* #endif */
        if (j!=i) {  /*       if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)|| (k4 <khi/nkhi/2.)|| (k4 <khi/nkhi/2.)){ */
          fprintf(ficres,"%1d%1d",i,j);  /*      k=kmax; */
          printf("%1d%1d",i,j);  /*       } */
          fprintf(ficlog,"%1d%1d",i,j);  /*       else if((k1 >khi/nkhif) || (k2 >khi/nkhif) || (k4 >khi/nkhif) || (k4 >khi/nkhif)){ /\* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. *\/ */
          for(k=1; k<=ncovmodel;k++){  /*      k=kmax; l=lmax*10; */
            printf(" %.5e",delti[jk]);  /*       } */
            fprintf(ficlog," %.5e",delti[jk]);  /*       else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){  */
            fprintf(ficres," %.5e",delti[jk]);  /*      delts=delt; */
            jk++;  /*       } */
          }  /*     } /\* End loop k *\/ */
          printf("\n");  /*   } */
          fprintf(ficlog,"\n");  /*   delti[theta]=delts; */
          fprintf(ficres,"\n");  /*   return res;  */
        }  /* } */
      }  
    }  
      /************** Inverse of matrix **************/
    k=1;  void ludcmp(double **a, int n, int *indx, double *d) 
    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)    int i,imax,j,k; 
      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");    double big,dum,sum,temp; 
    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");    double *vv; 
    for(i=1;i<=npar;i++){   
      /*  if (k>nlstate) k=1;    vv=vector(1,n); 
          i1=(i-1)/(ncovmodel*nlstate)+1;    *d=1.0; 
          fprintf(ficres,"%s%d%d",alph[k],i1,tab[i]);    for (i=1;i<=n;i++) { 
          printf("%s%d%d",alph[k],i1,tab[i]);*/      big=0.0; 
      fprintf(ficres,"%3d",i);      for (j=1;j<=n;j++) 
      if(mle==1)        if ((temp=fabs(a[i][j])) > big) big=temp; 
        printf("%3d",i);      if (big == 0.0) nrerror("Singular matrix in routine ludcmp"); 
      fprintf(ficlog,"%3d",i);      vv[i]=1.0/big; 
      for(j=1; j<=i;j++){    } 
        fprintf(ficres," %.5e",matcov[i][j]);    for (j=1;j<=n;j++) { 
        if(mle==1)      for (i=1;i<j;i++) { 
          printf(" %.5e",matcov[i][j]);        sum=a[i][j]; 
        fprintf(ficlog," %.5e",matcov[i][j]);        for (k=1;k<i;k++) sum -= a[i][k]*a[k][j]; 
      }        a[i][j]=sum; 
      fprintf(ficres,"\n");      } 
      if(mle==1)      big=0.0; 
        printf("\n");      for (i=j;i<=n;i++) { 
      fprintf(ficlog,"\n");        sum=a[i][j]; 
      k++;        for (k=1;k<j;k++) 
    }          sum -= a[i][k]*a[k][j]; 
            a[i][j]=sum; 
    while((c=getc(ficpar))=='#' && c!= EOF){        if ( (dum=vv[i]*fabs(sum)) >= big) { 
      ungetc(c,ficpar);          big=dum; 
      fgets(line, MAXLINE, ficpar);          imax=i; 
      puts(line);        } 
      fputs(line,ficparo);      } 
    }      if (j != imax) { 
    ungetc(c,ficpar);        for (k=1;k<=n;k++) { 
    estepm=0;          dum=a[imax][k]; 
    fscanf(ficpar,"agemin=%lf agemax=%lf bage=%lf fage=%lf estepm=%d\n",&ageminpar,&agemaxpar, &bage, &fage, &estepm);          a[imax][k]=a[j][k]; 
    if (estepm==0 || estepm < stepm) estepm=stepm;          a[j][k]=dum; 
    if (fage <= 2) {        } 
      bage = ageminpar;        *d = -(*d); 
      fage = agemaxpar;        vv[imax]=vv[j]; 
    }      } 
          indx[j]=imax; 
    fprintf(ficres,"# agemin agemax for life expectancy, bage fage (if mle==0 ie no data nor Max likelihood).\n");      if (a[j][j] == 0.0) a[j][j]=TINY; 
    fprintf(ficres,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d\n",ageminpar,agemaxpar,bage,fage, estepm);      if (j != n) { 
    fprintf(ficparo,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d\n",ageminpar,agemaxpar,bage,fage, estepm);        dum=1.0/(a[j][j]); 
            for (i=j+1;i<=n;i++) a[i][j] *= dum; 
    while((c=getc(ficpar))=='#' && c!= EOF){      } 
      ungetc(c,ficpar);    } 
      fgets(line, MAXLINE, ficpar);    free_vector(vv,1,n);  /* Doesn't work */
      puts(line);  ;
      fputs(line,ficparo);  } 
    }  
    ungetc(c,ficpar);  void lubksb(double **a, int n, int *indx, double b[]) 
    { 
    fscanf(ficpar,"begin-prev-date=%lf/%lf/%lf end-prev-date=%lf/%lf/%lf\n",&jprev1, &mprev1,&anprev1,&jprev2, &mprev2,&anprev2);    int i,ii=0,ip,j; 
    fprintf(ficparo,"begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);    double sum; 
    fprintf(ficres,"begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);   
        for (i=1;i<=n;i++) { 
    while((c=getc(ficpar))=='#' && c!= EOF){      ip=indx[i]; 
      ungetc(c,ficpar);      sum=b[ip]; 
      fgets(line, MAXLINE, ficpar);      b[ip]=b[i]; 
      puts(line);      if (ii) 
      fputs(line,ficparo);        for (j=ii;j<=i-1;j++) sum -= a[i][j]*b[j]; 
    }      else if (sum) ii=i; 
    ungetc(c,ficpar);      b[i]=sum; 
      } 
     for (i=n;i>=1;i--) { 
    dateprev1=anprev1+mprev1/12.+jprev1/365.;      sum=b[i]; 
    dateprev2=anprev2+mprev2/12.+jprev2/365.;      for (j=i+1;j<=n;j++) sum -= a[i][j]*b[j]; 
       b[i]=sum/a[i][i]; 
   fscanf(ficpar,"pop_based=%d\n",&popbased);    } 
   fprintf(ficparo,"pop_based=%d\n",popbased);    } 
   fprintf(ficres,"pop_based=%d\n",popbased);    
    void pstamp(FILE *fichier)
   while((c=getc(ficpar))=='#' && c!= EOF){  {
     ungetc(c,ficpar);    fprintf(fichier,"# %s.%s\n#IMaCh version %s, %s\n#%s\n# %s", optionfilefiname,optionfilext,version,copyright, fullversion, strstart);
     fgets(line, MAXLINE, ficpar);  }
     puts(line);  
     fputs(line,ficparo);  /************ Frequencies ********************/
   }   void  freqsummary(char fileres[], int iagemin, int iagemax, int **s, double **agev, int nlstate, int imx, \
   ungetc(c,ficpar);                                                                           int *Tvaraff, int *invalidvarcomb, int **nbcode, int *ncodemax,double **mint,double **anint, char strstart[],  \
                                                                            int firstpass,  int lastpass, int stepm, int weightopt, char model[])
   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);   {  /* Some frequencies */
 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);    
 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);           int i, m, jk, j1, bool, z1,j;
            int iind=0, iage=0;
            int mi; /* Effective wave */
 while((c=getc(ficpar))=='#' && c!= EOF){           int first;
     ungetc(c,ficpar);           double ***freq; /* Frequencies */
     fgets(line, MAXLINE, ficpar);           double *pp, **prop, *posprop, *pospropt;
     puts(line);           double pos=0., posproptt=0., pospropta=0., k2, dateintsum=0,k2cpt=0;
     fputs(line,ficparo);           char fileresp[FILENAMELENGTH], fileresphtm[FILENAMELENGTH], fileresphtmfr[FILENAMELENGTH];
   }           double agebegin, ageend;
   ungetc(c,ficpar);      
            pp=vector(1,nlstate);
   fscanf(ficpar,"popforecast=%d popfile=%s popfiledate=%lf/%lf/%lf last-popfiledate=%lf/%lf/%lf\n",&popforecast,popfile,&jpyram,&mpyram,&anpyram,&jpyram1,&mpyram1,&anpyram1);           prop=matrix(1,nlstate,iagemin-AGEMARGE,iagemax+3+AGEMARGE); 
   fprintf(ficparo,"popforecast=%d popfile=%s popfiledate=%.lf/%.lf/%.lf last-popfiledate=%.lf/%.lf/%.lf\n",popforecast,popfile,jpyram,mpyram,anpyram,jpyram1,mpyram1,anpyram1);           posprop=vector(1,nlstate); /* Counting the number of transition starting from a live state per age */ 
   fprintf(ficres,"popforecast=%d popfile=%s popfiledate=%.lf/%.lf/%.lf last-popfiledate=%.lf/%.lf/%.lf\n",popforecast,popfile,jpyram,mpyram,anpyram,jpyram1,mpyram1,anpyram1);           pospropt=vector(1,nlstate); /* Counting the number of transition starting from a live state */ 
            /* prop=matrix(1,nlstate,iagemin,iagemax+3); */
  freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvar,nbcode, ncodemax,mint,anint,dateprev1,dateprev2,jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);           strcpy(fileresp,"P_");
            strcat(fileresp,fileresu);
 /*------------ gnuplot -------------*/           /*strcat(fileresphtm,fileresu);*/
   strcpy(optionfilegnuplot,optionfilefiname);           if((ficresp=fopen(fileresp,"w"))==NULL) {
   strcat(optionfilegnuplot,".gp");                   printf("Problem with prevalence resultfile: %s\n", fileresp);
   if((ficgp=fopen(optionfilegnuplot,"w"))==NULL) {                   fprintf(ficlog,"Problem with prevalence resultfile: %s\n", fileresp);
     printf("Problem with file %s",optionfilegnuplot);                   exit(0);
   }           }
   fclose(ficgp);  
  printinggnuplot(fileres, ageminpar,agemaxpar,fage, pathc,p);           strcpy(fileresphtm,subdirfext(optionfilefiname,"PHTM_",".htm"));
 /*--------- index.htm --------*/           if((ficresphtm=fopen(fileresphtm,"w"))==NULL) {
                    printf("Problem with prevalence HTM resultfile '%s' with errno='%s'\n",fileresphtm,strerror(errno));
   strcpy(optionfilehtm,optionfile);                   fprintf(ficlog,"Problem with prevalence HTM resultfile '%s' with errno='%s'\n",fileresphtm,strerror(errno));
   strcat(optionfilehtm,".htm");                   fflush(ficlog);
   if((fichtm=fopen(optionfilehtm,"w"))==NULL)    {                   exit(70); 
     printf("Problem with %s \n",optionfilehtm), exit(0);           }
   }           else{
                    fprintf(ficresphtm,"<html><head>\n<title>IMaCh PHTM_ %s</title></head>\n <body><font size=\"2\">%s <br> %s</font> \
   fprintf(fichtm,"<body> <font size=\"2\">%s </font> <hr size=\"2\" color=\"#EC5E5E\"> \n  <hr size=\"2\" color=\"#EC5E5E\"> \n\
 Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=%s<br>\n  Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s<br>\n",\
 \n                                                   fileresphtm,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);
 Total number of observations=%d <br>\n           }
 Interval (in months) between two waves: Min=%d Max=%d Mean=%.2lf<br>\n           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);
 <hr  size=\"2\" color=\"#EC5E5E\">      
  <ul><li><h4>Parameter files</h4>\n           strcpy(fileresphtmfr,subdirfext(optionfilefiname,"PHTMFR_",".htm"));
  - Copy of the parameter file: <a href=\"o%s\">o%s</a><br>\n           if((ficresphtmfr=fopen(fileresphtmfr,"w"))==NULL) {
  - Log file of the run: <a href=\"%s\">%s</a><br>\n                   printf("Problem with frequency table HTM resultfile '%s' with errno='%s'\n",fileresphtmfr,strerror(errno));
  - Gnuplot file name: <a href=\"%s\">%s</a></ul>\n",version,title,datafile,firstpass,lastpass,stepm, weightopt,model,imx,jmin,jmax,jmean,fileres,fileres,filelog,filelog,optionfilegnuplot,optionfilegnuplot);                   fprintf(ficlog,"Problem with frequency table HTM resultfile '%s' with errno='%s'\n",fileresphtmfr,strerror(errno));
   fclose(fichtm);                   fflush(ficlog);
                    exit(70); 
  printinghtml(fileres,title,datafile, firstpass, lastpass, stepm, weightopt,model,imx,jmin,jmax,jmean,rfileres,popforecast,estepm,jprev1,mprev1,anprev1,jprev2,mprev2,anprev2);           }
             else{
 /*------------ free_vector  -------------*/                   fprintf(ficresphtmfr,"<html><head>\n<title>IMaCh PHTM_Frequency table %s</title></head>\n <body><font size=\"2\">%s <br> %s</font> \
  chdir(path);  <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",\
  free_ivector(wav,1,imx);                                                   fileresphtmfr,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);
  free_imatrix(dh,1,lastpass-firstpass+1,1,imx);           }
  free_imatrix(mw,1,lastpass-firstpass+1,1,imx);             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);
  free_ivector(num,1,n);  
  free_vector(agedc,1,n);           freq= ma3x(-5,nlstate+ndeath,-5,nlstate+ndeath,iagemin-AGEMARGE,iagemax+3+AGEMARGE);
  /*free_matrix(covar,1,NCOVMAX,1,n);*/           j1=0;
  fclose(ficparo);    
  fclose(ficres);           j=cptcoveff;
            if (cptcovn<1) {j=1;ncodemax[1]=1;}
   
   /*--------------- Prevalence limit --------------*/           first=1;
    
   strcpy(filerespl,"pl");           /* Detects if a combination j1 is empty: for a multinomial variable like 3 education levels:
   strcat(filerespl,fileres);                          reference=low_education V1=0,V2=0
   if((ficrespl=fopen(filerespl,"w"))==NULL) {                          med_educ                V1=1 V2=0, 
     printf("Problem with Prev limit resultfile: %s\n", filerespl);goto end;                          high_educ               V1=0 V2=1
     fprintf(ficlog,"Problem with Prev limit resultfile: %s\n", filerespl);goto end;                          Then V1=1 and V2=1 is a noisy combination that we want to exclude for the list 2**cptcoveff 
   }           */
   printf("Computing prevalence limit: result on file '%s' \n", filerespl);  
   fprintf(ficlog,"Computing prevalence limit: result on file '%s' \n", filerespl);           for (j1 = 1; j1 <= (int) pow(2,cptcoveff); j1++){ /* Loop on covariates combination */
   fprintf(ficrespl,"#Prevalence limit\n");                   posproptt=0.;
   fprintf(ficrespl,"#Age ");                   /*printf("cptcoveff=%d Tvaraff=%d", cptcoveff,Tvaraff[1]);
   for(i=1; i<=nlstate;i++) fprintf(ficrespl,"%d-%d ",i,i);                           scanf("%d", i);*/
   fprintf(ficrespl,"\n");                   for (i=-5; i<=nlstate+ndeath; i++)  
                             for (jk=-5; jk<=nlstate+ndeath; jk++)  
   prlim=matrix(1,nlstate,1,nlstate);                                   for(m=iagemin; m <= iagemax+3; m++)
   pmmij= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */                                           freq[i][jk][m]=0;
   oldms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */        
   newms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */                   for (i=1; i<=nlstate; i++)  {
   savms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */                           for(m=iagemin; m <= iagemax+3; m++)
   oldm=oldms; newm=newms; savm=savms; /* Keeps fixed addresses to free */                                   prop[i][m]=0;
   k=0;                           posprop[i]=0;
   agebase=ageminpar;                           pospropt[i]=0;
   agelim=agemaxpar;                   }
   ftolpl=1.e-10;        
   i1=cptcoveff;                   dateintsum=0;
   if (cptcovn < 1){i1=1;}                   k2cpt=0;
   
   for(cptcov=1;cptcov<=i1;cptcov++){                   for (iind=1; iind<=imx; iind++) { /* For each individual iind */
     for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){                           bool=1;
         k=k+1;                           if (cptcovn>0) { /* Filter is here: Must be looked at for model=V1+V2+V3+V4 */
         /*printf("cptcov=%d cptcod=%d codtab=%d nbcode=%d\n",cptcov, cptcod,Tcode[cptcode],codtab[cptcod][cptcov]);*/                                   for (z1=1; z1<=cptcoveff; z1++) {      
         fprintf(ficrespl,"\n#******");                                           if (covar[Tvaraff[z1]][iind]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]){
         printf("\n#******");                                                   /* Tests if the value of each of the covariates of i is equal to filter j1 */
         fprintf(ficlog,"\n#******");                                                   bool=0;
         for(j=1;j<=cptcoveff;j++) {                                                   /* 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", 
           fprintf(ficrespl," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);                  bool,i,z1, z1, Tvaraff[z1],i,covar[Tvaraff[z1]][i],j1,z1,codtabm(j1,z1),
           printf(" V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);                  j1,z1,nbcode[Tvaraff[z1]][codtabm(j1,z1)],j1);*/
           fprintf(ficlog," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);                                                   /* For j1=7 in V1+V2+V3+V4 = 0 1 1 0 and codtabm(7,3)=1 and nbcde[3][?]=1*/
         }                                           } 
         fprintf(ficrespl,"******\n");                                   } /* end z1 */
         printf("******\n");                           } /* cptcovn > 0 */
         fprintf(ficlog,"******\n");  
                                   if (bool==1){
         for (age=agebase; age<=agelim; age++){                                   /* for(m=firstpass; m<=lastpass; m++){ */
           prevalim(prlim, nlstate, p, age, oldm, savm,ftolpl,k);                                   for(mi=1; mi<wav[iind];mi++){
           fprintf(ficrespl,"%.0f",age );                                           m=mw[mi][iind];
           for(i=1; i<=nlstate;i++)                                           /* dh[m][iind] or dh[mw[mi][iind]][iind] is the delay between two effective (mi) waves m=mw[mi][iind]
           fprintf(ficrespl," %.5f", prlim[i][i]);                                                          and mw[mi+1][iind]. dh depends on stepm. */
           fprintf(ficrespl,"\n");                                           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.);
   fclose(ficrespl);                                                   /*if ((k2>=dateprev1) && (k2<=dateprev2)) {*/
                                                    if(agev[m][iind]==0) agev[m][iind]=iagemax+1;  /* All ages equal to 0 are in iagemax+1 */
   /*------------- h Pij x at various ages ------------*/                                                   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 */
   strcpy(filerespij,"pij");  strcat(filerespij,fileres);                                                           prop[s[m][iind]][(int)agev[m][iind]] += weight[iind];  /* At age of beginning of transition, where status is known */
   if((ficrespij=fopen(filerespij,"w"))==NULL) {                                                   if (m<lastpass) {
     printf("Problem with Pij resultfile: %s\n", filerespij);goto end;                                                           /* if(s[m][iind]==4 && s[m+1][iind]==4) */
     fprintf(ficlog,"Problem with Pij resultfile: %s\n", filerespij);goto end;                                                           /*   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("Computing pij: result on file '%s' \n", filerespij);                                                                   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.));
   fprintf(ficlog,"Computing pij: result on file '%s' \n", filerespij);                                                           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]; */
   stepsize=(int) (stepm+YEARM-1)/YEARM;                                                           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 */
   /*if (stepm<=24) stepsize=2;*/                                                   }
                                            }  
   agelim=AGESUP;                                           if ((agev[m][iind]>1) && (agev[m][iind]< (iagemax+3)) && (anint[m][iind]!=9999) && (mint[m][iind]!=99)) {
   hstepm=stepsize*YEARM; /* Every year of age */                                                   dateintsum=dateintsum+k2;
   hstepm=hstepm/stepm; /* Typically 2 years, = 2/6 months = 4 */                                                   k2cpt++;
                                                    /* printf("iind=%ld dateintmean = %lf dateintsum=%lf k2cpt=%lf k2=%lf\n",iind, dateintsum/k2cpt, dateintsum,k2cpt, k2); */
   /* hstepm=1;   aff par mois*/                                           }
                                            /*}*/
   k=0;                                   } /* end m */
   for(cptcov=1;cptcov<=i1;cptcov++){                           } /* end bool */
     for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){                   } /* end iind = 1 to imx */
       k=k+1;         /* prop[s][age] is feeded for any initial and valid live state as well as
         fprintf(ficrespij,"\n#****** ");                                          freq[s1][s2][age] at single age of beginning the transition, for a combination j1 */
         for(j=1;j<=cptcoveff;j++)  
           fprintf(ficrespij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);  
         fprintf(ficrespij,"******\n");                   /*      fprintf(ficresp, "#Count between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);*/
                           pstamp(ficresp);
         for (agedeb=fage; agedeb>=bage; agedeb--){ /* If stepm=6 months */                   if  (cptcovn>0) {
           nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */                           fprintf(ficresp, "\n#********** Variable "); 
           nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */                           fprintf(ficresphtm, "\n<br/><br/><h3>********** Variable "); 
                            fprintf(ficresphtmfr, "\n<br/><br/><h3>********** Variable "); 
           /*      nhstepm=nhstepm*YEARM; aff par mois*/                           for (z1=1; z1<=cptcoveff; z1++){
                                    fprintf(ficresp, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
           p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);                                   fprintf(ficresphtm, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
           oldm=oldms;savm=savms;                                   fprintf(ficresphtmfr, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
           hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);                             }
           fprintf(ficrespij,"# Age");                           fprintf(ficresp, "**********\n#");
           for(i=1; i<=nlstate;i++)                           fprintf(ficresphtm, "**********</h3>\n");
             for(j=1; j<=nlstate+ndeath;j++)                           fprintf(ficresphtmfr, "**********</h3>\n");
               fprintf(ficrespij," %1d-%1d",i,j);                           fprintf(ficlog, "\n#********** Variable "); 
           fprintf(ficrespij,"\n");                           for (z1=1; z1<=cptcoveff; z1++) fprintf(ficlog, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
            for (h=0; h<=nhstepm; h++){                           fprintf(ficlog, "**********\n");
             fprintf(ficrespij,"%d %f %f",k,agedeb, agedeb+ h*hstepm/YEARM*stepm );                   }
             for(i=1; i<=nlstate;i++)                   fprintf(ficresphtm,"<table style=\"text-align:center; border: 1px solid\">");
               for(j=1; j<=nlstate+ndeath;j++)                   for(i=1; i<=nlstate;i++) {
                 fprintf(ficrespij," %.5f", p3mat[i][j][h]);                           fprintf(ficresp, " Age Prev(%d) N(%d) N",i,i);
             fprintf(ficrespij,"\n");                           fprintf(ficresphtm, "<th>Age</th><th>Prev(%d)</th><th>N(%d)</th><th>N</th>",i,i);
              }                   }
           free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);                   fprintf(ficresp, "\n");
           fprintf(ficrespij,"\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> ");
   varprob(optionfilefiname, matcov, p, delti, nlstate, (int) bage, (int) fage,k,Tvar,nbcode, ncodemax);                   for(jk=-1; jk <=nlstate+ndeath; jk++){
                            for(m=-1; m <=nlstate+ndeath; m++){
   fclose(ficrespij);                                   if(jk!=0 && m!=0)
                                            fprintf(ficresphtmfr,"<th>%d%d</th> ",jk,m);
                            }
   /*---------- Forecasting ------------------*/                   }
   if((stepm == 1) && (strcmp(model,".")==0)){                   fprintf(ficresphtmfr, "\n");
     prevforecast(fileres, anproj1,mproj1,jproj1, agemin,agemax, dateprev1, dateprev2,mobilav, agedeb, fage, popforecast, popfile, anproj2,p, i1);        
     if (popforecast==1) populforecast(fileres, anpyram,mpyram,jpyram, agemin,agemax, dateprev1, dateprev2,mobilav, agedeb, fage, popforecast, popfile, anpyram1,p, i1);                   /* For each age */
   }                   for(iage=iagemin; iage <= iagemax+3; iage++){
   else{                           fprintf(ficresphtm,"<tr>");
     erreur=108;                           if(iage==iagemax+1){
     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,"1");
     fprintf(ficlog,"Warning %d!! You can only forecast the prevalences if the optimization\n  has been performed with stepm = 1 (month) instead of %d or model=. instead of '%s'\n", erreur, stepm, model);                                   fprintf(ficresphtmfr,"<tr><th>0</th> ");
   }                           }else if(iage==iagemax+2){
                                     fprintf(ficlog,"0");
                                    fprintf(ficresphtmfr,"<tr><th>Unknown</th> ");
   /*---------- Health expectancies and variances ------------*/                           }else if(iage==iagemax+3){
                                    fprintf(ficlog,"Total");
   strcpy(filerest,"t");                                   fprintf(ficresphtmfr,"<tr><th>Total</th> ");
   strcat(filerest,fileres);                           }else{
   if((ficrest=fopen(filerest,"w"))==NULL) {                                   if(first==1){
     printf("Problem with total LE resultfile: %s\n", filerest);goto end;                                           first=0;
     fprintf(ficlog,"Problem with total LE resultfile: %s\n", filerest);goto end;                                           printf("See log file for details...\n");
   }                                   }
   printf("Computing Total LEs with variances: file '%s' \n", filerest);                                   fprintf(ficresphtmfr,"<tr><th>%d</th> ",iage);
   fprintf(ficlog,"Computing Total LEs with variances: file '%s' \n", filerest);                                   fprintf(ficlog,"Age %d", iage);
                            }
                            for(jk=1; jk <=nlstate ; jk++){
   strcpy(filerese,"e");                                   for(m=-1, pp[jk]=0; m <=nlstate+ndeath ; m++)
   strcat(filerese,fileres);                                           pp[jk] += freq[jk][m][iage]; 
   if((ficreseij=fopen(filerese,"w"))==NULL) {                           }
     printf("Problem with Health Exp. resultfile: %s\n", filerese); exit(0);                           for(jk=1; jk <=nlstate ; jk++){
     fprintf(ficlog,"Problem with Health Exp. resultfile: %s\n", filerese); exit(0);                                   for(m=-1, pos=0; m <=0 ; m++)
   }                                           pos += freq[jk][m][iage];
   printf("Computing Health Expectancies: result on file '%s' \n", filerese);                                   if(pp[jk]>=1.e-10){
   fprintf(ficlog,"Computing Health Expectancies: result on file '%s' \n", filerese);                                           if(first==1){
                                                    printf(" %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);
   strcpy(fileresv,"v");                                           }
   strcat(fileresv,fileres);                                           fprintf(ficlog," %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);
   if((ficresvij=fopen(fileresv,"w"))==NULL) {                                   }else{
     printf("Problem with variance resultfile: %s\n", fileresv);exit(0);                                           if(first==1)
     fprintf(ficlog,"Problem with variance resultfile: %s\n", fileresv);exit(0);                                                   printf(" %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);
   }                                           fprintf(ficlog," %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);
   printf("Computing Variance-covariance of DFLEs: file '%s' \n", fileresv);                                   }
   fprintf(ficlog,"Computing Variance-covariance of DFLEs: file '%s' \n", fileresv);                           }
   calagedate=-1;  
   prevalence(ageminpar, agemax, s, agev, nlstate, imx,Tvar,nbcode, ncodemax,mint,anint,dateprev1,dateprev2, calagedate);                           for(jk=1; jk <=nlstate ; jk++){ 
                                    /* posprop[jk]=0; */
   k=0;                                   for(m=0, pp[jk]=0; m <=nlstate+ndeath; m++)/* Summing on all ages */
   for(cptcov=1;cptcov<=i1;cptcov++){                                           pp[jk] += freq[jk][m][iage];
     for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){                           }      /* pp[jk] is the total number of transitions starting from state jk and any ending status until this age */
       k=k+1;  
       fprintf(ficrest,"\n#****** ");                           for(jk=1,pos=0, pospropta=0.; jk <=nlstate ; jk++){
       for(j=1;j<=cptcoveff;j++)                                   pos += pp[jk]; /* pos is the total number of transitions until this age */
         fprintf(ficrest,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);                                   posprop[jk] += prop[jk][iage]; /* prop is the number of transitions from a live state
       fprintf(ficrest,"******\n");                                                                                                                                                                           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
       fprintf(ficreseij,"\n#****** ");                                                                                                                                                                           from jk at age iage prop[s[m][iind]][(int)agev[m][iind]] += weight[iind] */
       for(j=1;j<=cptcoveff;j++)                           }
         fprintf(ficreseij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);                           for(jk=1; jk <=nlstate ; jk++){
       fprintf(ficreseij,"******\n");                                   if(pos>=1.e-5){
                                            if(first==1)
       fprintf(ficresvij,"\n#****** ");                                                   printf(" %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);
       for(j=1;j<=cptcoveff;j++)                                           fprintf(ficlog," %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);
         fprintf(ficresvij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);                                   }else{
       fprintf(ficresvij,"******\n");                                           if(first==1)
                                                    printf(" %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);
       eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);                                           fprintf(ficlog," %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);
       oldm=oldms;savm=savms;                                   }
       evsij(fileres, eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k, estepm, delti, matcov);                                     if( iage <= iagemax){
                                             if(pos>=1.e-5){
       vareij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);                                                   fprintf(ficresp," %d %.5f %.0f %.0f",iage,prop[jk][iage]/pospropta, prop[jk][iage],pospropta);
       oldm=oldms;savm=savms;                                                   fprintf(ficresphtm,"<th>%d</th><td>%.5f</td><td>%.0f</td><td>%.0f</td>",iage,prop[jk][iage]/pospropta, prop[jk][iage],pospropta);
       varevsij(optionfilefiname, vareij, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k, estepm, cptcov,cptcod,0);                                                   /*probs[iage][jk][j1]= pp[jk]/pos;*/
       if(popbased==1){                                                   /*printf("\niage=%d jk=%d j1=%d %.5f %.0f %.0f %f",iage,jk,j1,pp[jk]/pos, pp[jk],pos,probs[iage][jk][j1]);*/
         varevsij(optionfilefiname, vareij, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k, estepm, cptcov,cptcod,popbased);                                           }
        }                                           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);
       fprintf(ficrest,"#Total LEs with variances: e.. (std) ");                                           }
       for (i=1;i<=nlstate;i++) fprintf(ficrest,"e.%d (std) ",i);                                   }
       fprintf(ficrest,"\n");                                   pospropt[jk] +=posprop[jk];
                            } /* end loop jk */
       epj=vector(1,nlstate+1);                           /* pospropt=0.; */
       for(age=bage; age <=fage ;age++){                           for(jk=-1; jk <=nlstate+ndeath; jk++){
         prevalim(prlim, nlstate, p, age, oldm, savm,ftolpl,k);                                   for(m=-1; m <=nlstate+ndeath; m++){
         if (popbased==1) {                                           if(freq[jk][m][iage] !=0 ) { /* minimizing output */
           for(i=1; i<=nlstate;i++)                                                   if(first==1){
             prlim[i][i]=probs[(int)age][i][k];                                                           printf(" %d%d=%.0f",jk,m,freq[jk][m][iage]);
         }                                                   }
                                                           fprintf(ficlog," %d%d=%.0f",jk,m,freq[jk][m][iage]);
         fprintf(ficrest," %4.0f",age);                                           }
         for(j=1, epj[nlstate+1]=0.;j <=nlstate;j++){                                           if(jk!=0 && m!=0)
           for(i=1, epj[j]=0.;i <=nlstate;i++) {                                                   fprintf(ficresphtmfr,"<td>%.0f</td> ",freq[jk][m][iage]);
             epj[j] += prlim[i][i]*eij[i][j][(int)age];                                   }
             /*  printf("%lf %lf ", prlim[i][i] ,eij[i][j][(int)age]);*/                           } /* end loop jk */
           }                           posproptt=0.; 
           epj[nlstate+1] +=epj[j];                           for(jk=1; jk <=nlstate; jk++){
         }                                   posproptt += pospropt[jk];
                            }
         for(i=1, vepp=0.;i <=nlstate;i++)                           fprintf(ficresphtmfr,"</tr>\n ");
           for(j=1;j <=nlstate;j++)                           if(iage <= iagemax){
             vepp += vareij[i][j][(int)age];                                   fprintf(ficresp,"\n");
         fprintf(ficrest," %7.3f (%7.3f)", epj[nlstate+1],sqrt(vepp));                                   fprintf(ficresphtm,"</tr>\n");
         for(j=1;j <=nlstate;j++){                           }
           fprintf(ficrest," %7.3f (%7.3f)", epj[j],sqrt(vareij[j][j][(int)age]));                           if(first==1)
         }                                   printf("Others in log...\n");
         fprintf(ficrest,"\n");                           fprintf(ficlog,"\n");
       }                   } /* end loop age iage */
     }                   fprintf(ficresphtm,"<tr><th>Tot</th>");
   }                   for(jk=1; jk <=nlstate ; jk++){
 free_matrix(mint,1,maxwav,1,n);                           if(posproptt < 1.e-5){
     free_matrix(anint,1,maxwav,1,n); free_imatrix(s,1,maxwav+1,1,n);                                   fprintf(ficresphtm,"<td>Nanq</td><td>%.0f</td><td>%.0f</td>",pospropt[jk],posproptt);  
     free_vector(weight,1,n);                           }else{
   fclose(ficreseij);                                   fprintf(ficresphtm,"<td>%.5f</td><td>%.0f</td><td>%.0f</td>",pospropt[jk]/posproptt,pospropt[jk],posproptt);   
   fclose(ficresvij);                           }
   fclose(ficrest);                   }
   fclose(ficpar);                   fprintf(ficresphtm,"</tr>\n");
   free_vector(epj,1,nlstate+1);                   fprintf(ficresphtm,"</table>\n");
                     fprintf(ficresphtmfr,"</table>\n");
   /*------- Variance limit prevalence------*/                     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);
   strcpy(fileresvpl,"vpl");                           fprintf(ficresphtmfr,"\n <p><b> This combination (%d) is not valid and no result will be produced</b></p>",j1);
   strcat(fileresvpl,fileres);                           fprintf(ficres,"\n  This combination (%d) is not valid and no result will be produced\n\n",j1);
   if((ficresvpl=fopen(fileresvpl,"w"))==NULL) {                           invalidvarcomb[j1]=1;
     printf("Problem with variance prev lim resultfile: %s\n", fileresvpl);                   }else{
     exit(0);                           fprintf(ficresphtm,"\n <p> This combination (%d) is valid and result will be produced.</p>",j1);
   }                           invalidvarcomb[j1]=0;
   printf("Computing Variance-covariance of Prevalence limit: file '%s' \n", fileresvpl);                   }
                    fprintf(ficresphtmfr,"</table>\n");
   k=0;           } /* end selected combination of covariate j1 */
   for(cptcov=1;cptcov<=i1;cptcov++){           dateintmean=dateintsum/k2cpt; 
     for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){                   
       k=k+1;           fclose(ficresp);
       fprintf(ficresvpl,"\n#****** ");           fclose(ficresphtm);
       for(j=1;j<=cptcoveff;j++)           fclose(ficresphtmfr);
         fprintf(ficresvpl,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);           free_ma3x(freq,-5,nlstate+ndeath,-5,nlstate+ndeath, iagemin-AGEMARGE, iagemax+3+AGEMARGE);
       fprintf(ficresvpl,"******\n");           free_vector(pospropt,1,nlstate);
                 free_vector(posprop,1,nlstate);
       varpl=matrix(1,nlstate,(int) bage, (int) fage);           free_matrix(prop,1,nlstate,iagemin-AGEMARGE, iagemax+3+AGEMARGE);
       oldm=oldms;savm=savms;           free_vector(pp,1,nlstate);
      varprevlim(fileres, varpl, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k);           /* End of Freq */
     }   }
  }  
   /************ Prevalence ********************/
   fclose(ficresvpl);   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)
    {  
   /*---------- End : free ----------------*/     /* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people
   free_matrix(varpl,1,nlstate,(int) bage, (int)fage);        in each health status at the date of interview (if between dateprev1 and dateprev2).
          We still use firstpass and lastpass as another selection.
   free_ma3x(vareij,1,nlstate,1,nlstate,(int) bage, (int)fage);     */
   free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);   
       int i, m, jk, j1, bool, z1,j;
       int mi; /* Effective wave */
   free_matrix(pmmij,1,nlstate+ndeath,1,nlstate+ndeath);     int iage;
   free_matrix(oldms, 1,nlstate+ndeath,1,nlstate+ndeath);     double agebegin, ageend;
   free_matrix(newms, 1,nlstate+ndeath,1,nlstate+ndeath);  
   free_matrix(savms, 1,nlstate+ndeath,1,nlstate+ndeath);     double **prop;
       double posprop; 
   free_matrix(matcov,1,npar,1,npar);     double  y2; /* in fractional years */
   free_vector(delti,1,npar);     int iagemin, iagemax;
   free_matrix(agev,1,maxwav,1,imx);     int first; /** to stop verbosity which is redirected to log file */
   free_ma3x(param,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel);  
      iagemin= (int) agemin;
   fprintf(fichtm,"\n</body>");     iagemax= (int) agemax;
   fclose(fichtm);     /*pp=vector(1,nlstate);*/
   fclose(ficgp);     prop=matrix(1,nlstate,iagemin-AGEMARGE,iagemax+3+AGEMARGE); 
       /*  freq=ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,iagemin,iagemax+3);*/
      j1=0;
   if(erreur >0){    
     printf("End of Imach with error or warning %d\n",erreur);     /*j=cptcoveff;*/
     fprintf(ficlog,"End of Imach with error or warning %d\n",erreur);     if (cptcovn<1) {j=1;ncodemax[1]=1;}
   }else{    
    printf("End of Imach\n");     first=1;
    fprintf(ficlog,"End of Imach\n");     for(j1=1; j1<= (int) pow(2,cptcoveff);j1++){ /* For each combination of covariate */
   }       for (i=1; i<=nlstate; i++)  
   printf("See log file on %s\n",filelog);         for(iage=iagemin-AGEMARGE; iage <= iagemax+3+AGEMARGE; iage++)
   fclose(ficlog);           prop[i][iage]=0.0;
   /*  gettimeofday(&end_time, (struct timezone*)0);*/  /* after time */      
         for (i=1; i<=imx; i++) { /* Each individual */
   /* 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);*/         bool=1;
   /*printf("Total time was %d uSec.\n", total_usecs);*/         if  (cptcovn>0) {  /* Filter is here: Must be looked at for model=V1+V2+V3+V4 */
   /*------ End -----------*/           for (z1=1; z1<=cptcoveff; z1++) /* For each covariate, look at the value for individual i and checks if it is equal to the corresponding value of this covariate according to current combination j1*/
              if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]) 
                bool=0;
  end:         } 
 #ifdef windows         if (bool==1) { /* For this combination of covariates values, this individual fits */
   /* chdir(pathcd);*/           /* for(m=firstpass; m<=lastpass; m++){/\* Other selection (we can limit to certain interviews*\/ */
 #endif           for(mi=1; mi<wav[i];mi++){
  /*system("wgnuplot graph.plt");*/             m=mw[mi][i];
  /*system("../gp37mgw/wgnuplot graph.plt");*/             agebegin=agev[m][i]; /* Age at beginning of wave before transition*/
  /*system("cd ../gp37mgw");*/             /* ageend=agev[m][i]+(dh[m][i])*stepm/YEARM; /\* Age at end of wave and transition *\/ */
  /* system("..\\gp37mgw\\wgnuplot graph.plt");*/             if(m >=firstpass && m <=lastpass){
  strcpy(plotcmd,GNUPLOTPROGRAM);               y2=anint[m][i]+(mint[m][i]/12.); /* Fractional date in year */
  strcat(plotcmd," ");               if ((y2>=dateprev1) && (y2<=dateprev2)) { /* Here is the main selection (fractional years) */
  strcat(plotcmd,optionfilegnuplot);                 if(agev[m][i]==0) agev[m][i]=iagemax+1;
  system(plotcmd);                 if(agev[m][i]==1) agev[m][i]=iagemax+2;
                  if((int)agev[m][i] <iagemin-AGEMARGE || (int)agev[m][i] >iagemax+3+AGEMARGE){
 #ifdef windows                   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); 
   while (z[0] != 'q') {                   exit(1);
     /* chdir(path); */                 }
     printf("\nType e to edit output files, g to graph again, c to start again, and q for exiting: ");                 if (s[m][i]>0 && s[m][i]<=nlstate) { 
     scanf("%s",z);                   /*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]]);*/
     if (z[0] == 'c') system("./imach");                   prop[s[m][i]][(int)agev[m][i]] += weight[i];/* At age of beginning of transition, where status is known */
     else if (z[0] == 'e') system(optionfilehtm);                   prop[s[m][i]][iagemax+3] += weight[i]; 
     else if (z[0] == 'g') system(plotcmd);                 } /* end valid statuses */ 
     else if (z[0] == 'q') exit(0);               } /* end selection of dates */
   }             } /* end selection of waves */
 #endif           } /* end effective waves */
 }         } /* end bool */
        }
        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 on 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, mi, m;
     /* int j, k=0,jk, ju, jl,jmin=1e+5, jmax=-1;
        double sum=0., jmean=0.;*/
     int first, firstwo, firsthree, firstfour;
     int j, k=0,jk, ju, jl;
     double sum=0.;
     first=0;
     firstwo=0;
     firsthree=0;
     firstfour=0;
     jmin=100000;
     jmax=-1;
     jmean=0.;
     for(i=1; i<=imx; i++){  /* For simple cases and if state is death */
       mi=0;
       m=firstpass;
       while(s[m][i] <= nlstate){  /* a live state */
         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;
         }
         if(m >=lastpass){
                                   if(s[m][i]==-1 && (int) andc[i] == 9999 && (int)anint[m][i] != 9999){
                                           if(firsthree == 0){
                                                   printf("Information! Unknown health 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.\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.\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;
                                   }
                                   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.\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);
                                           }
                                           break;
                                   }
                                   break;
         }
         else
                                   m++;
       }/* end while */
       
       /* After last pass */
       if (s[m][i] > nlstate){  /* In a death state */
         mi++;     /* Death is another wave */
         /* if(mi==0)  never been interviewed correctly before death */
                           /* Only death is a correct wave */
         mw[mi][i]=m;
       }else if ((int) andc[i] != 9999) { /* Status is either death or 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; */
         nberr++;
         if ((int)anint[m][i]!= 9999) { /* date of last interview is known */
                                   if(firstwo==0){
                                           printf("Error! Death for individual %ld line=%d  occurred %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 %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 );
         }
       }
       wav[i]=mi;
       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 2 (V2)
      * nbcode[Tvar[5]][1]= nbcode[2][1]=0, nbcode[2][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 */
     for (j=1; j<=(cptcovs); j++) { /* From model V1 + V2*age+ V3 + V3*V4 keeps V1 + V3 = 2 only */
       for (k=-1; k < maxncov; k++) Ndum[k]=0;
       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[j]][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 is 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", j, Tvar[j], modmincovj, modmaxcovj);
       fprintf(ficlog," Minimal and maximal values of %d th covariate V%d: min=%d max=%d \n", j, Tvar[j], modmincovj, modmaxcovj);
       cptcode=modmaxcovj;
       /* Ndum[0] = frequency of 0 for model-covariate j, Ndum[1] frequency of 1 etc. */
      /*for (i=0; i<=cptcode; i++) {*/
       for (k=modmincovj;  k<=modmaxcovj; k++) { /* k=-1 ? 0 and 1*//* For each value k of the modality of model-cov j */
         printf("Frequencies of covariates %d ie V%d with value %d: %d\n", j, Tvar[j], k, Ndum[k]);
         fprintf(ficlog, "Frequencies of covariates %d ie V%d with value %d: %d\n", j, Tvar[j], k, Ndum[k]);
         if( Ndum[k] != 0 ){ /* Counts if nobody answered modality k ie empty modality, we skip it and reorder */
                                   if( k != -1){
                                           ncodemax[j]++;  /* ncodemax[j]= Number of modalities of the j th
                                                                                                                    covariate for which somebody answered excluding 
                                                                                                                    undefined. Usually 2: 0 and 1. */
                                   }
                                   ncodemaxwundef[j]++; /* ncodemax[j]= Number of modalities of the j th
                                                                                                                                   covariate for which somebody answered including 
                                                                                                                                   undefined. Usually 3: -1, 0 and 1. */
         }
         /* In fact  ncodemax[j]=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[j]][ij]=i;  /* stores the original value of modality i in an array nbcode, ij modality from 1 to last non-nul modality.*/
           cptcode = ij; /* New max modality for covar j */
       } /* end of loop on modality i=-1 to 1 or more */
         
       /*   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; 
     
     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 might be -1 if status was unknown */ 
                   Ndum[ij]++; /* Might be supersed V1 + V1*age */
           } 
           
           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) */
                   /*printf("Ndum[%d]=%d\n",i, Ndum[i]);*/
                   if((Ndum[i]!=0) && (i<=ncovcol)){
                           ij++;
                           /*printf("diff Ndum[%d]=%d\n",i, Ndum[i]);*/
                           Tvaraff[ij]=i; /*For printing (unclear) */
                   }else{
                           /* Tvaraff[ij]=0; */
                   }
           }
           /* ij--; */
           /* cptcoveff=ij; /\*Number of total covariates*\/ */
           *cptcov=ij; /*Number of total covariates*/
           
   }
   
   
   /*********** 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 */
        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++) 
            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)? $%d : 1/0) t 'Backward prevalence in state %d' with line ",kl+1, Tvaraff[k],kl+1+1,nbcode[Tvaraff[k]][lv], \
                         6+(cpt-1),  cpt );
               }else{
                 fprintf(ficgp,"$%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)]);
               }
             }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)]);
                 }
                 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=cptcoveff;
     if (cptcovn < 1){i1=1;}
     
     fprintf(ficresf,"# Mean day of interviews %.lf/%.lf/%.lf (%.2f) between %.2f and %.2f \n",jprojmean,mprojmean,anprojmean,dateintmean,dateprev1,dateprev2); 
     
     fprintf(ficresf,"#****** Routine prevforecast **\n");
   
   /*            if (h==(int)(YEARM*yearp)){ */
     for(cptcov=1, k=0;cptcov<=i1;cptcov++){
       for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){
         k=k+1;
         fprintf(ficresf,"\n#****** 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][cptcod];
                                                                   else {
                                                                           ppij=ppij+p3mat[i][j][h]*probs[(int)(agec)][i][cptcod];
                                                                   }
                                                                   if (h*hstepm/YEARM*stepm== yearp) {
                                                                           fprintf(ficresf," %.3f", p3mat[i][j][h]);
                                                                   }
                                                           } /* end i */
                                                           if (h*hstepm/YEARM*stepm==yearp) {
                                                                   fprintf(ficresf," %.3f", ppij);
                                                           }
                                                   }/* end j */
                                           } /* end h */
                                           free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                                   } /* end agec */
         } /* end yearp */
       } /* end cptcod */
     } /* end  cptcov */
           
     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 dateprev2, int mobilav, double agedeb, double fage, int popforecast, char popfile[], double anpyram1,double p[], int i2){
     
     int cpt, stepsize, hstepm, nhstepm, j,k,c, cptcod, i,h;
     int *popage;
     double calagedatem, agelim, kk1, kk2;
     double *popeffectif,*popcount;
     double ***p3mat,***tabpop,***tabpopprev;
     /* double ***mobaverage; */
     char filerespop[FILENAMELENGTH];
   
     tabpop= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
     tabpopprev= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
     agelim=AGESUP;
     calagedatem=(anpyram+mpyram/12.+jpyram/365.-dateintmean)*YEARM;
     
     prevalence(probs, ageminpar, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass);
     
     
     strcpy(filerespop,"POP_"); 
     strcat(filerespop,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;
                                   }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; 
         }
         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;
     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 =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=> 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]= (V2), covar[4][i]=(V3), covar[8][i]=(V8)
          *  Tvar[k] # of the kth covariate:  Tvar[1]=2  Tvar[4]=3 Tvar[8]=8
          *       if multiplied by age: V3*age Tvar[3=V3*age]=3 (V3) Tvar[7]=8 and 
          *  Tage[++cptcovage]=k
          *       if products, new covar are created after ncovcol with k1
          *  Tvar[k]=ncovcol+k1; # of the kth covariate product:  Tvar[5]=ncovcol+1=10  Tvar[6]=ncovcol+1=11
          *  Tprod[k1]=k; Tprod[1]=5 Tprod[2]= 6; gives the position of the k1th product
          *  Tvard[k1][1]=m Tvard[k1][2]=m; Tvard[1][1]=5 (V5) Tvard[1][2]=6 Tvard[2][1]=7 (V7) Tvard[2][2]=8
          *  Tvar[cptcovn+k2]=Tvard[k1][1];Tvar[cptcovn+k2+1]=Tvard[k1][2];
          *  Tvar[8+1]=5;Tvar[8+2]=6;Tvar[8+3]=7;Tvar[8+4]=8 inverted
          *  V1   V2   V3   V4  V5  V6  V7  V8  V9  V10  V11
          *  <          ncovcol=8                >
          *       Model V2 + V1 + V3*age + V3 + V5*V6 + V7*V8 + V8*age + V8    d1   d1   d2  d2
          *          k=  1    2      3       4     5       6      7        8    9   10   11  12
          *     Tvar[k]= 2    1      3       3    10      11      8        8    5    6    7   8
          * p Tvar[1]@12={2,   1,     3,      3,   11,     10,     8,       8,   7,   8,   5,  6}
          * p Tprod[1]@2={                         6, 5}
          *p Tvard[1][1]@4= {7, 8, 5, 6}
          * covar[k][i]= V2   V1      ?      V3    V5*V6?   V7*V8?  ?       V8   
          *  cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
          *How to reorganize?
          * Model V1 + V2 + V3 + V8 + V5*V6 + V7*V8 + V3*age + V8*age
          * Tvars {2,   1,     3,      3,   11,     10,     8,       8,   7,   8,   5,  6}
          *       {2,   1,     4,      8,    5,      6,     3,       7}
          * Struct []
          */
   
         /* This loop fills the array Tvar from the string 'model'.*/
         /* j is the number of + signs in the model V1+V2+V3 j=2 i=3 to 1 */
         /*   modelsav=V2+V1+V4+age*V3 strb=age*V3 stra=V2+V1+V4  */
         /*        k=4 (age*V3) Tvar[k=4]= 3 (from V3) Tage[cptcovage=1]=4 */
         /*        k=3 V4 Tvar[k=3]= 4 (from V4) */
         /*        k=2 V1 Tvar[k=2]= 1 (from V1) */
         /*        k=1 Tvar[1]=2 (from V2) */
         /*        k=5 Tvar[5] */
         /* for (k=1; k<=cptcovn;k++) { */
         /*        cov[2+k]=nbcode[Tvar[k]][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 */
           Tvar[k]=0;
         cptcovage=0;
         for(k=1; k<=cptcovt;k++){ /* Loop on total covariates of the model */
                                   cutl(stra,strb,modelsav,'+'); /* keeps in strb after the first '+' 
                                                                                                                                                                    modelsav==V2+V1+V4+V3*age strb=V3*age stra=V2+V1+V4 */ 
                                   if (nbocc(modelsav,'+')==0) strcpy(strb,modelsav); /* and analyzes it */
                                   /*      printf("i=%d a=%s b=%s sav=%s\n",i, stra,strb,modelsav);*/
                                   /*scanf("%d",i);*/
                                   if (strchr(strb,'*')) {  /**< Model includes a product V2+V1+V4+V3*age strb=V3*age */
                                           cutl(strc,strd,strb,'*'); /**< strd*strc  Vm*Vn: strb=V3*age(input) strc=age strd=V3 ; V3*V2 strc=V2, strd=V3 */
                                           if (strcmp(strc,"age")==0) { /**< Model includes age: Vn*age */
                                                   /* covar is not filled and then is empty */
                                                   cptcovprod--;
                                                   cutl(stre,strb,strd,'V'); /* strd=V3(input): stre="3" */
                                                   Tvar[k]=atoi(stre);  /* V2+V1+V4+V3*age Tvar[4]=3 ; V1+V2*age Tvar[2]=2; V1+V1*age Tvar[2]=1 */
                                                   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);
                                                   cptcovage++;
                                                   Tage[cptcovage]=k;
                                           } else {  /* Age is not in the model product V2+V1+V1*V4+V3*age+V3*V2  strb=V3*V2*/
                                                   /* loops on k1=1 (V3*V2) and k1=2 V4*V3 */
                                                   cptcovn++;
                                                   cptcovprodnoage++;k1++;
                                                   cutl(stre,strb,strc,'V'); /* strc= Vn, stre is n; strb=V3*V2 stre=3 strc=*/
                                                   Tvar[k]=ncovcol+k1; /* For model-covariate k tells which data-covariate to use but
                                                                                                                                            because this model-covariate is a construction we invent a new column
                                                                                                                                            ncovcol + k1
                                                                                                                                            If already ncovcol=4 and model=V2+V1+V1*V4+age*V3+V3*V2
                                                                                                                                            Tvar[3=V1*V4]=4+1 Tvar[5=V3*V2]=4 + 2= 6, etc */
                                                   cutl(strc,strb,strd,'V'); /* strd was Vm, strc is m */
                                                   Tprod[k1]=k;  /* Tprod[1]=3(=V1*V4) for V2+V1+V1*V4+age*V3+V3*V2  */
                                                   Tvard[k1][1] =atoi(strc); /* m 1 for V1*/
                                                   Tvard[k1][2] =atoi(stre); /* n 4 for V4*/
                                                   k2=k2+2;
                                                   Tvar[cptcovt+k2]=Tvard[k1][1]; /* Tvar[(cptcovt=4+k2=1)=5]= 1 (V1) */
                                                   Tvar[cptcovt+k2+1]=Tvard[k1][2];  /* Tvar[(cptcovt=4+(k2=1)+1)=6]= 4 (V4) */
                                                   for (i=1; i<=lastobs;i++){
                                                           /* Computes the new covariate which is a product of
                                                                    covar[n][i]* covar[m][i] and stores it at ncovol+k1 May not be defined */
                                                           covar[ncovcol+k1][i]=covar[atoi(stre)][i]*covar[atoi(strc)][i];
                                                   }
                                           } /* End age is not in the model */
                                   } /* End if model includes a product */
                                   else { /* no more sum */
                                           /*printf("d=%s c=%s b=%s\n", strd,strc,strb);*/
                                           /*  scanf("%d",i);*/
                                           cutl(strd,strc,strb,'V');
                                           ks++; /**< Number of simple covariates */
                                           cptcovn++;
                                           Tvar[k]=atoi(strd);
                                   }
                                   strcpy(modelsav,stra);  /* modelsav=V2+V1+V4 stra=V2+V1+V4 */ 
                                   /*printf("a=%s b=%s sav=%s\n", stra,strb,modelsav);
                                           scanf("%d",i);*/
         } /* end of loop + 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);*/
   
   
     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("Computing period (stable) prevalence: result on file '%s' \n", filerespl);
     fprintf(ficlog,"Computing period (stable) prevalence: result on file '%s' \n", filerespl);
     pstamp(ficrespl);
     fprintf(ficrespl,"# Period (stable) prevalence. 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,cptcoveff);
     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++) {
         fprintf(ficrespl," 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(ficrespl,"******\n");
       printf("******\n");
       fprintf(ficlog,"******\n");
                   if(invalidvarcomb[k]){
                                                   printf("\nCombination (%d) ignored because no cases \n",k); 
                                                   fprintf(ficrespl,"#Combination (%d) ignored because no cases \n",k); 
                                                   fprintf(ficlog,"\nCombination (%d) ignored because no cases \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++){ 
     /* 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(ficresplb,"#******");
       printf("#******");
       fprintf(ficlog,"#******");
       for(j=1;j<=cptcoveff;j++) {
         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);  /**< used in readdata */
     cotvar=ma3x(1,maxwav,1,ntv,1,n);  /**< used in readdata */
     cotqvar=ma3x(1,maxwav,1,ntqv,1,n);  /**< used in readdata */
     cptcovn=0; /*Number of covariates, i.e. number of '+' in model statement plus one, indepently of n in Vn*/
     /* v1+v2+v3+v2*v4+v5*age makes cptcovn = 5
        v1+v2*age+v2*v3 makes cptcovn = 3
     */
     if (strlen(model)>1) 
       ncovmodel=2+nbocc(model,'+')+1; /*Number of variables including intercept and age = cptcovn + intercept + age : v1+v2+v3+v2*v4+v5*age makes 5+2=7,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%1d",&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%1d",i1,j1,jk);
                           }
         fprintf(ficlog,"%1d%1d%1d",i1,j1,jk);
         fprintf(ficparo,"%1d%1d%1d",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. */
     /*  V2+V1+V4+age*V3 is a model with 4 covariates (3 plus signs). 
         For each model-covariate stores the data-covariate id. Tvar[1]=2, Tvar[2]=1, Tvar[3]=4, 
         Tvar[4=age*V3] is 3 and 'age' is recorded in Tage.
     */
     /* For model-covariate k tells which data-covariate to use but
       because this model-covariate is a construction we invent a new column
       ncovcol + k1
       If already ncovcol=4 and model=V2+V1+V1*V4+age*V3
       Tvar[3=V1*V4]=4+1 etc */
     Tprod=ivector(1,NCOVMAX); /* Gives the position of a product */
     /* Tprod[k1=1]=3(=V1*V4) for V2+V1+V1*V4+age*V3
        if  V2+V1+V1*V4+age*V3+V3*V2   TProd[k1=2]=5 (V3*V2)
     */
     Tvaraff=ivector(1,NCOVMAX); /* Unclear */
     Tvard=imatrix(1,NCOVMAX,1,2); /* n=Tvard[k1][1]  and m=Tvard[k1][2] gives the couple n,m of the k1 th product Vn*Vm
                               * For V3*V2 (in V2+V1+V1*V4+age*V3+V3*V2), V3*V2 position is 2nd. 
                               * Tvard[k1=2][1]=3 (V3) Tvard[k1=2][2]=2(V2) */
     Tage=ivector(1,NCOVMAX); /* Gives the covariate id of covariates associated with age: V2 + V1 + age*V4 + V3*age
                            4 covariates (3 plus signs)
                            Tage[1=V3*age]= 4; Tage[2=age*V4] = 3
                         */  
   
   /* 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 nlstate=%d ndeath=%d maxwav=%d mle= 0 weight=%d\nmodel=1+age+%s.\n", title, datafile, lastobs, firstpass,lastpass,ftol, stepm, ncovcol, nlstate, ndeath, maxwav, weightopt,model);
       
       
       fprintf(ficres,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
       printf("# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
       fprintf(ficlog,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
       for(i=1,jk=1; i <=nlstate; i++){
         for(k=1; k <=(nlstate+ndeath); k++){
                                   if (k != i) {
                                           printf("%d%d ",i,k);
                                           fprintf(ficlog,"%d%d ",i,k);
                                           fprintf(ficres,"%1d%1d ",i,k);
                                           for(j=1; j <=ncovmodel; j++){
                                                   printf("%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++){
         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);
                   
       /*---------- Health 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 Health Exp. and std errors resultfile: %s\n", fileresstde); exit(0);
         fprintf(ficlog,"Problem with Health Exp. and std errors resultfile: %s\n", fileresstde); exit(0);
       }
       printf("  Computing Health Expectancies and standard errors: result on file '%s' \n", fileresstde);
       fprintf(ficlog,"  Computing Health Expectancies and standard errors: result on file '%s' \n", fileresstde);
   
       strcpy(filerescve,"CVE_");
       strcat(filerescve,fileresu);
       if((ficrescveij=fopen(filerescve,"w"))==NULL) {
         printf("Problem with Covar. Health Exp. resultfile: %s\n", filerescve); exit(0);
         fprintf(ficlog,"Problem with Covar. Health Exp. resultfile: %s\n", filerescve); exit(0);
       }
       printf("    Computing Covar. of Health Expectancies: result on file '%s' \n", filerescve);
       fprintf(ficlog,"    Computing Covar. of Health Expectancies: result on file '%s' \n", filerescve);
   
       strcpy(fileresv,"V_");
       strcat(fileresv,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 DFLEs: file '%s' ... ", fileresv);fflush(stdout);
       fprintf(ficlog,"      Computing Variance-covariance of DFLEs: 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++){
         fprintf(ficrest,"\n#****** ");
         for(j=1;j<=cptcoveff;j++) 
                                   fprintf(ficrest,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
         fprintf(ficrest,"******\n");
         
         fprintf(ficresstdeij,"\n#****** ");
         fprintf(ficrescveij,"\n#****** ");
         for(j=1;j<=cptcoveff;j++) {
                                   fprintf(ficresstdeij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][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 %d, ",k);
         fprintf(ficlog, " cvevsij %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 %d \n",vpopbased);
                                   fprintf(ficlog, "varevsij %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 */
       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);
       printf("done Health expectancies\n");fflush(stdout);
       fprintf(ficlog,"done Health expectancies\n");fflush(ficlog);
       fclose(ficpar);
     
       /*------- 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#****** ");
                           for(j=1;j<=cptcoveff;j++) 
                                   fprintf(ficresvpl,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                           fprintf(ficresvpl,"******\n");
         
                           varpl=matrix(1,nlstate,(int) bage, (int) fage);
                           oldm=oldms;savm=savms;
                           varprevlim(fileres, varpl, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl, &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);
   
       /*---------- 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,ntqv,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(Tvar,1,NCOVMAX);
       free_ivector(Tprod,1,NCOVMAX);
       free_ivector(Tvaraff,1,NCOVMAX);
       free_ivector(invalidvarcomb,1,ncovcombmax);
       free_ivector(Tage,1,NCOVMAX);
   
       free_imatrix(nbcode,0,NCOVMAX,0,NCOVMAX);
       /* free_imatrix(codtab,1,100,1,10); */
     fflush(fichtm);
     fflush(ficgp);
     
   
     if((nberr >0) || (nbwarn>0)){
       printf("End of Imach with %d errors and/or %d warnings. 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.1.51  
changed lines
  Added in v.1.223


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