Diff for /imach/src/imach.c between versions 1.21 and 1.200

version 1.21, 2002/02/21 18:42:24 version 1.200, 2015/09/09 16:53:55
Line 1 Line 1
      /* $Id$
 /*********************** Imach **************************************            $State$
   This program computes Healthy Life Expectancies from cross-longitudinal    $Log$
   data. Cross-longitudinal consist in a first survey ("cross") where    Revision 1.200  2015/09/09 16:53:55  brouard
   individuals from different ages are interviewed on their health status    Summary: Big bug thanks to Flavia
   or degree of  disability. At least a second wave of interviews  
   ("longitudinal") should  measure each new individual health status.    Even model=1+age+V2. did not work anymore
   Health expectancies are computed from the transistions observed between  
   waves and are computed for each degree of severity of disability (number    Revision 1.199  2015/09/07 14:09:23  brouard
   of life states). More degrees you consider, more time is necessary to    Summary: 0.98q6 changing default small png format for graph to vectorized svg.
   reach the Maximum Likelihood of the parameters involved in the model.  
   The simplest model is the multinomial logistic model where pij is    Revision 1.198  2015/09/03 07:14:39  brouard
   the probabibility to be observed in state j at the second wave conditional    Summary: 0.98q5 Flavia
   to be observed in state i at the first wave. Therefore the model is:  
   log(pij/pii)= aij + bij*age+ cij*sex + etc , where 'age' is age and 'sex'    Revision 1.197  2015/09/01 18:24:39  brouard
   is a covariate. If you want to have a more complex model than "constant and    *** empty log message ***
   age", you should modify the program where the markup  
     *Covariates have to be included here again* invites you to do it.    Revision 1.196  2015/08/18 23:17:52  brouard
   More covariates you add, less is the speed of the convergence.    Summary: 0.98q5
   
   The advantage that this computer programme claims, comes from that if the    Revision 1.195  2015/08/18 16:28:39  brouard
   delay between waves is not identical for each individual, or if some    Summary: Adding a hack for testing purpose
   individual missed an interview, the information is not rounded or lost, but  
   taken into account using an interpolation or extrapolation.    After reading the title, ftol and model lines, if the comment line has
   hPijx is the probability to be    a q, starting with #q, the answer at the end of the run is quit. It
   observed in state i at age x+h conditional to the observed state i at age    permits to run test files in batch with ctest. The former workaround was
   x. The delay 'h' can be split into an exact number (nh*stepm) of    $ echo q | imach foo.imach
   unobserved intermediate  states. This elementary transition (by month or  
   quarter trimester, semester or year) is model as a multinomial logistic.    Revision 1.194  2015/08/18 13:32:00  brouard
   The hPx matrix is simply the matrix product of nh*stepm elementary matrices    Summary:  Adding error when the covariance matrix doesn't contain the exact number of lines required by the model line.
   and the contribution of each individual to the likelihood is simply hPijx.  
     Revision 1.193  2015/08/04 07:17:42  brouard
   Also this programme outputs the covariance matrix of the parameters but also    Summary: 0.98q4
   of the life expectancies. It also computes the prevalence limits.  
      Revision 1.192  2015/07/16 16:49:02  brouard
   Authors: Nicolas Brouard (brouard@ined.fr) and Agnès Lièvre (lievre@ined.fr).    Summary: Fixing some outputs
            Institut national d'études démographiques, Paris.  
   This software have been partly granted by Euro-REVES, a concerted action    Revision 1.191  2015/07/14 10:00:33  brouard
   from the European Union.    Summary: Some fixes
   It is copyrighted identically to a GNU software product, ie programme and  
   software can be distributed freely for non commercial use. Latest version    Revision 1.190  2015/05/05 08:51:13  brouard
   can be accessed at http://euroreves.ined.fr/imach .    Summary: Adding digits in output parameters (7 digits instead of 6)
   **********************************************************************/  
      Fix 1+age+.
 #include <math.h>  
 #include <stdio.h>    Revision 1.189  2015/04/30 14:45:16  brouard
 #include <stdlib.h>    Summary: 0.98q2
 #include <unistd.h>  
     Revision 1.188  2015/04/30 08:27:53  brouard
 #define MAXLINE 256    *** empty log message ***
 #define FILENAMELENGTH 80  
 /*#define DEBUG*/    Revision 1.187  2015/04/29 09:11:15  brouard
 #define windows    *** empty log message ***
 #define GLOCK_ERROR_NOPATH              -1      /* empty path */  
 #define GLOCK_ERROR_GETCWD              -2      /* cannot get cwd */    Revision 1.186  2015/04/23 12:01:52  brouard
     Summary: V1*age is working now, version 0.98q1
 #define MAXPARM 30 /* Maximum number of parameters for the optimization */  
 #define NPARMAX 64 /* (nlstate+ndeath-1)*nlstate*ncovmodel */    Some codes had been disabled in order to simplify and Vn*age was
     working in the optimization phase, ie, giving correct MLE parameters,
 #define NINTERVMAX 8    but, as usual, outputs were not correct and program core dumped.
 #define NLSTATEMAX 8 /* Maximum number of live states (for func) */  
 #define NDEATHMAX 8 /* Maximum number of dead states (for func) */    Revision 1.185  2015/03/11 13:26:42  brouard
 #define NCOVMAX 8 /* Maximum number of covariates */    Summary: Inclusion of compile and links command line for Intel Compiler
 #define MAXN 20000  
 #define YEARM 12. /* Number of months per year */    Revision 1.184  2015/03/11 11:52:39  brouard
 #define AGESUP 130    Summary: Back from Windows 8. Intel Compiler
 #define AGEBASE 40  
     Revision 1.183  2015/03/10 20:34:32  brouard
     Summary: 0.98q0, trying with directest, mnbrak fixed
 int erreur; /* Error number */  
 int nvar;    We use directest instead of original Powell test; probably no
 int cptcovn, cptcovage=0, cptcoveff=0,cptcov;    incidence on the results, but better justifications;
 int npar=NPARMAX;    We fixed Numerical Recipes mnbrak routine which was wrong and gave
 int nlstate=2; /* Number of live states */    wrong results.
 int ndeath=1; /* Number of dead states */  
 int ncovmodel, ncov;     /* Total number of covariables including constant a12*1 +b12*x ncovmodel=2 */    Revision 1.182  2015/02/12 08:19:57  brouard
 int popbased=0;    Summary: Trying to keep directest which seems simpler and more general
     Author: Nicolas Brouard
 int *wav; /* Number of waves for this individuual 0 is possible */  
 int maxwav; /* Maxim number of waves */    Revision 1.181  2015/02/11 23:22:24  brouard
 int jmin, jmax; /* min, max spacing between 2 waves */    Summary: Comments on Powell added
 int mle, weightopt;  
 int **mw; /* mw[mi][i] is number of the mi wave for this individual */    Author:
 int **dh; /* dh[mi][i] is number of steps between mi,mi+1 for this individual */  
 double jmean; /* Mean space between 2 waves */    Revision 1.180  2015/02/11 17:33:45  brouard
 double **oldm, **newm, **savm; /* Working pointers to matrices */    Summary: Finishing move from main to function (hpijx and prevalence_limit)
 double **oldms, **newms, **savms; /* Fixed working pointers to matrices */  
 FILE *fic,*ficpar, *ficparo,*ficres,  *ficrespl, *ficrespij, *ficrest,*ficresf;    Revision 1.179  2015/01/04 09:57:06  brouard
 FILE *ficgp, *fichtm,*ficresprob,*ficpop;    Summary: back to OS/X
 FILE *ficreseij;  
   char filerese[FILENAMELENGTH];    Revision 1.178  2015/01/04 09:35:48  brouard
  FILE  *ficresvij;    *** empty log message ***
   char fileresv[FILENAMELENGTH];  
  FILE  *ficresvpl;    Revision 1.177  2015/01/03 18:40:56  brouard
   char fileresvpl[FILENAMELENGTH];    Summary: Still testing ilc32 on OSX
   
 #define NR_END 1    Revision 1.176  2015/01/03 16:45:04  brouard
 #define FREE_ARG char*    *** empty log message ***
 #define FTOL 1.0e-10  
     Revision 1.175  2015/01/03 16:33:42  brouard
 #define NRANSI    *** empty log message ***
 #define ITMAX 200  
     Revision 1.174  2015/01/03 16:15:49  brouard
 #define TOL 2.0e-4    Summary: Still in cross-compilation
   
 #define CGOLD 0.3819660    Revision 1.173  2015/01/03 12:06:26  brouard
 #define ZEPS 1.0e-10    Summary: trying to detect cross-compilation
 #define SHFT(a,b,c,d) (a)=(b);(b)=(c);(c)=(d);  
     Revision 1.172  2014/12/27 12:07:47  brouard
 #define GOLD 1.618034    Summary: Back from Visual Studio and Intel, options for compiling for Windows XP
 #define GLIMIT 100.0  
 #define TINY 1.0e-20    Revision 1.171  2014/12/23 13:26:59  brouard
     Summary: Back from Visual C
 static double maxarg1,maxarg2;  
 #define FMAX(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)>(maxarg2)? (maxarg1):(maxarg2))    Still problem with utsname.h on Windows
 #define FMIN(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)<(maxarg2)? (maxarg1):(maxarg2))  
      Revision 1.170  2014/12/23 11:17:12  brouard
 #define SIGN(a,b) ((b)>0.0 ? fabs(a) : -fabs(a))    Summary: Cleaning some \%% back to %%
 #define rint(a) floor(a+0.5)  
     The escape was mandatory for a specific compiler (which one?), but too many warnings.
 static double sqrarg;  
 #define SQR(a) ((sqrarg=(a)) == 0.0 ? 0.0 :sqrarg*sqrarg)    Revision 1.169  2014/12/22 23:08:31  brouard
 #define SWAP(a,b) {temp=(a);(a)=(b);(b)=temp;}    Summary: 0.98p
   
 int imx;    Outputs some informations on compiler used, OS etc. Testing on different platforms.
 int stepm;  
 /* Stepm, step in month: minimum step interpolation*/    Revision 1.168  2014/12/22 15:17:42  brouard
     Summary: update
 int m,nb;  
 int *num, firstpass=0, lastpass=4,*cod, *ncodemax, *Tage;    Revision 1.167  2014/12/22 13:50:56  brouard
 double **agev,*moisnais, *annais, *moisdc, *andc,**mint, **anint;    Summary: Testing uname and compiler version and if compiled 32 or 64
 double **pmmij, ***probs, ***mobaverage;  
 double dateintmean=0;    Testing on Linux 64
   
 double *weight;    Revision 1.166  2014/12/22 11:40:47  brouard
 int **s; /* Status */    *** empty log message ***
 double *agedc, **covar, idx;  
 int **nbcode, *Tcode, *Tvar, **codtab, **Tvard, *Tprod, cptcovprod, *Tvaraff;    Revision 1.165  2014/12/16 11:20:36  brouard
     Summary: After compiling on Visual C
 double ftol=FTOL; /* Tolerance for computing Max Likelihood */  
 double ftolhess; /* Tolerance for computing hessian */    * imach.c (Module): Merging 1.61 to 1.162
   
 /**************** split *************************/    Revision 1.164  2014/12/16 10:52:11  brouard
 static  int split( char *path, char *dirc, char *name )    Summary: Merging with Visual C after suppressing some warnings for unused variables. Also fixing Saito's bug 0.98Xn
 {  
    char *s;                             /* pointer */    * imach.c (Module): Merging 1.61 to 1.162
    int  l1, l2;                         /* length counters */  
     Revision 1.163  2014/12/16 10:30:11  brouard
    l1 = strlen( path );                 /* length of path */    * imach.c (Module): Merging 1.61 to 1.162
    if ( l1 == 0 ) return( GLOCK_ERROR_NOPATH );  
    s = strrchr( path, '\\' );           /* find last / */    Revision 1.162  2014/09/25 11:43:39  brouard
    if ( s == NULL ) {                   /* no directory, so use current */    Summary: temporary backup 0.99!
 #if     defined(__bsd__)                /* get current working directory */  
       extern char       *getwd( );    Revision 1.1  2014/09/16 11:06:58  brouard
     Summary: With some code (wrong) for nlopt
       if ( getwd( dirc ) == NULL ) {  
 #else    Author:
       extern char       *getcwd( );  
     Revision 1.161  2014/09/15 20:41:41  brouard
       if ( getcwd( dirc, FILENAME_MAX ) == NULL ) {    Summary: Problem with macro SQR on Intel compiler
 #endif  
          return( GLOCK_ERROR_GETCWD );    Revision 1.160  2014/09/02 09:24:05  brouard
       }    *** empty log message ***
       strcpy( name, path );             /* we've got it */  
    } else {                             /* strip direcotry from path */    Revision 1.159  2014/09/01 10:34:10  brouard
       s++;                              /* after this, the filename */    Summary: WIN32
       l2 = strlen( s );                 /* length of filename */    Author: Brouard
       if ( l2 == 0 ) return( GLOCK_ERROR_NOPATH );  
       strcpy( name, s );                /* save file name */    Revision 1.158  2014/08/27 17:11:51  brouard
       strncpy( dirc, path, l1 - l2 );   /* now the directory */    *** empty log message ***
       dirc[l1-l2] = 0;                  /* add zero */  
    }    Revision 1.157  2014/08/27 16:26:55  brouard
    l1 = strlen( dirc );                 /* length of directory */    Summary: Preparing windows Visual studio version
    if ( dirc[l1-1] != '\\' ) { dirc[l1] = '\\'; dirc[l1+1] = 0; }    Author: Brouard
    return( 0 );                         /* we're done */  
 }    In order to compile on Visual studio, time.h is now correct and time_t
     and tm struct should be used. difftime should be used but sometimes I
     just make the differences in raw time format (time(&now).
 /******************************************/    Trying to suppress #ifdef LINUX
     Add xdg-open for __linux in order to open default browser.
 void replace(char *s, char*t)  
 {    Revision 1.156  2014/08/25 20:10:10  brouard
   int i;    *** empty log message ***
   int lg=20;  
   i=0;    Revision 1.155  2014/08/25 18:32:34  brouard
   lg=strlen(t);    Summary: New compile, minor changes
   for(i=0; i<= lg; i++) {    Author: Brouard
     (s[i] = t[i]);  
     if (t[i]== '\\') s[i]='/';    Revision 1.154  2014/06/20 17:32:08  brouard
   }    Summary: Outputs now all graphs of convergence to period prevalence
 }  
     Revision 1.153  2014/06/20 16:45:46  brouard
 int nbocc(char *s, char occ)    Summary: If 3 live state, convergence to period prevalence on same graph
 {    Author: Brouard
   int i,j=0;  
   int lg=20;    Revision 1.152  2014/06/18 17:54:09  brouard
   i=0;    Summary: open browser, use gnuplot on same dir than imach if not found in the path
   lg=strlen(s);  
   for(i=0; i<= lg; i++) {    Revision 1.151  2014/06/18 16:43:30  brouard
   if  (s[i] == occ ) j++;    *** empty log message ***
   }  
   return j;    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)
     Author: brouard
 void cutv(char *u,char *v, char*t, char occ)  
 {    Revision 1.149  2014/06/18 15:51:14  brouard
   int i,lg,j,p=0;    Summary: Some fixes in parameter files errors
   i=0;    Author: Nicolas Brouard
   for(j=0; j<=strlen(t)-1; j++) {  
     if((t[j]!= occ) && (t[j+1]== occ)) p=j+1;    Revision 1.148  2014/06/17 17:38:48  brouard
   }    Summary: Nothing new
     Author: Brouard
   lg=strlen(t);  
   for(j=0; j<p; j++) {    Just a new packaging for OS/X version 0.98nS
     (u[j] = t[j]);  
   }    Revision 1.147  2014/06/16 10:33:11  brouard
      u[p]='\0';    *** empty log message ***
   
    for(j=0; j<= lg; j++) {    Revision 1.146  2014/06/16 10:20:28  brouard
     if (j>=(p+1))(v[j-p-1] = t[j]);    Summary: Merge
   }    Author: Brouard
 }  
     Merge, before building revised version.
 /********************** nrerror ********************/  
     Revision 1.145  2014/06/10 21:23:15  brouard
 void nrerror(char error_text[])    Summary: Debugging with valgrind
 {    Author: Nicolas Brouard
   fprintf(stderr,"ERREUR ...\n");  
   fprintf(stderr,"%s\n",error_text);    Lot of changes in order to output the results with some covariates
   exit(1);    After the Edimburgh REVES conference 2014, it seems mandatory to
 }    improve the code.
 /*********************** vector *******************/    No more memory valgrind error but a lot has to be done in order to
 double *vector(int nl, int nh)    continue the work of splitting the code into subroutines.
 {    Also, decodemodel has been improved. Tricode is still not
   double *v;    optimal. nbcode should be improved. Documentation has been added in
   v=(double *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(double)));    the source code.
   if (!v) nrerror("allocation failure in vector");  
   return v-nl+NR_END;    Revision 1.143  2014/01/26 09:45:38  brouard
 }    Summary: Version 0.98nR (to be improved, but gives same optimization results as 0.98k. Nice, promising
   
 /************************ free vector ******************/    * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
 void free_vector(double*v, int nl, int nh)    (Module): Version 0.98nR Running ok, but output format still only works for three covariates.
 {  
   free((FREE_ARG)(v+nl-NR_END));    Revision 1.142  2014/01/26 03:57:36  brouard
 }    Summary: gnuplot changed plot w l 1 has to be changed to plot w l lt 2
   
 /************************ivector *******************************/    * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
 int *ivector(long nl,long nh)  
 {    Revision 1.141  2014/01/26 02:42:01  brouard
   int *v;    * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
   v=(int *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(int)));  
   if (!v) nrerror("allocation failure in ivector");    Revision 1.140  2011/09/02 10:37:54  brouard
   return v-nl+NR_END;    Summary: times.h is ok with mingw32 now.
 }  
     Revision 1.139  2010/06/14 07:50:17  brouard
 /******************free ivector **************************/    After the theft of my laptop, I probably lost some lines of codes which were not uploaded to the CVS tree.
 void free_ivector(int *v, long nl, long nh)    I remember having already fixed agemin agemax which are pointers now but not cvs saved.
 {  
   free((FREE_ARG)(v+nl-NR_END));    Revision 1.138  2010/04/30 18:19:40  brouard
 }    *** empty log message ***
   
 /******************* imatrix *******************************/    Revision 1.137  2010/04/29 18:11:38  brouard
 int **imatrix(long nrl, long nrh, long ncl, long nch)    (Module): Checking covariates for more complex models
      /* allocate a int matrix with subscript range m[nrl..nrh][ncl..nch] */    than V1+V2. A lot of change to be done. Unstable.
 {  
   long i, nrow=nrh-nrl+1,ncol=nch-ncl+1;    Revision 1.136  2010/04/26 20:30:53  brouard
   int **m;    (Module): merging some libgsl code. Fixing computation
      of likelione (using inter/intrapolation if mle = 0) in order to
   /* allocate pointers to rows */    get same likelihood as if mle=1.
   m=(int **) malloc((size_t)((nrow+NR_END)*sizeof(int*)));    Some cleaning of code and comments added.
   if (!m) nrerror("allocation failure 1 in matrix()");  
   m += NR_END;    Revision 1.135  2009/10/29 15:33:14  brouard
   m -= nrl;    (Module): Now imach stops if date of birth, at least year of birth, is not given. Some cleaning of the code.
    
      Revision 1.134  2009/10/29 13:18:53  brouard
   /* allocate rows and set pointers to them */    (Module): Now imach stops if date of birth, at least year of birth, is not given. Some cleaning of the code.
   m[nrl]=(int *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(int)));  
   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");    Revision 1.133  2009/07/06 10:21:25  brouard
   m[nrl] += NR_END;    just nforces
   m[nrl] -= ncl;  
      Revision 1.132  2009/07/06 08:22:05  brouard
   for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol;    Many tings
    
   /* return pointer to array of pointers to rows */    Revision 1.131  2009/06/20 16:22:47  brouard
   return m;    Some dimensions resccaled
 }  
     Revision 1.130  2009/05/26 06:44:34  brouard
 /****************** free_imatrix *************************/    (Module): Max Covariate is now set to 20 instead of 8. A
 void free_imatrix(m,nrl,nrh,ncl,nch)    lot of cleaning with variables initialized to 0. Trying to make
       int **m;    V2+V3*age+V1+V4 strb=V3*age+V1+V4 working better.
       long nch,ncl,nrh,nrl;  
      /* free an int matrix allocated by imatrix() */    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
   free((FREE_ARG) (m[nrl]+ncl-NR_END));  
   free((FREE_ARG) (m+nrl-NR_END));    Revision 1.128  2006/06/30 13:02:05  brouard
 }    (Module): Clarifications on computing e.j
   
 /******************* matrix *******************************/    Revision 1.127  2006/04/28 18:11:50  brouard
 double **matrix(long nrl, long nrh, long ncl, long nch)    (Module): Yes the sum of survivors was wrong since
 {    imach-114 because nhstepm was no more computed in the age
   long i, nrow=nrh-nrl+1, ncol=nch-ncl+1;    loop. Now we define nhstepma in the age loop.
   double **m;    (Module): In order to speed up (in case of numerous covariates) we
     compute health expectancies (without variances) in a first step
   m=(double **) malloc((size_t)((nrow+NR_END)*sizeof(double*)));    and then all the health expectancies with variances or standard
   if (!m) nrerror("allocation failure 1 in matrix()");    deviation (needs data from the Hessian matrices) which slows the
   m += NR_END;    computation.
   m -= nrl;    In the future we should be able to stop the program is only health
     expectancies and graph are needed without standard deviations.
   m[nrl]=(double *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));  
   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");    Revision 1.126  2006/04/28 17:23:28  brouard
   m[nrl] += NR_END;    (Module): Yes the sum of survivors was wrong since
   m[nrl] -= ncl;    imach-114 because nhstepm was no more computed in the age
     loop. Now we define nhstepma in the age loop.
   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;    Version 0.98h
   return m;  
 }    Revision 1.125  2006/04/04 15:20:31  lievre
     Errors in calculation of health expectancies. Age was not initialized.
 /*************************free matrix ************************/    Forecasting file added.
 void free_matrix(double **m, long nrl, long nrh, long ncl, long nch)  
 {    Revision 1.124  2006/03/22 17:13:53  lievre
   free((FREE_ARG)(m[nrl]+ncl-NR_END));    Parameters are printed with %lf instead of %f (more numbers after the comma).
   free((FREE_ARG)(m+nrl-NR_END));    The log-likelihood is printed in the log file
 }  
     Revision 1.123  2006/03/20 10:52:43  brouard
 /******************* ma3x *******************************/    * imach.c (Module): <title> changed, corresponds to .htm file
 double ***ma3x(long nrl, long nrh, long ncl, long nch, long nll, long nlh)    name. <head> headers where missing.
 {  
   long i, j, nrow=nrh-nrl+1, ncol=nch-ncl+1, nlay=nlh-nll+1;    * imach.c (Module): Weights can have a decimal point as for
   double ***m;    English (a comma might work with a correct LC_NUMERIC environment,
     otherwise the weight is truncated).
   m=(double ***) malloc((size_t)((nrow+NR_END)*sizeof(double*)));    Modification of warning when the covariates values are not 0 or
   if (!m) nrerror("allocation failure 1 in matrix()");    1.
   m += NR_END;    Version 0.98g
   m -= nrl;  
     Revision 1.122  2006/03/20 09:45:41  brouard
   m[nrl]=(double **) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));    (Module): Weights can have a decimal point as for
   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");    English (a comma might work with a correct LC_NUMERIC environment,
   m[nrl] += NR_END;    otherwise the weight is truncated).
   m[nrl] -= ncl;    Modification of warning when the covariates values are not 0 or
     1.
   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;    Version 0.98g
   
   m[nrl][ncl]=(double *) malloc((size_t)((nrow*ncol*nlay+NR_END)*sizeof(double)));    Revision 1.121  2006/03/16 17:45:01  lievre
   if (!m[nrl][ncl]) nrerror("allocation failure 3 in matrix()");    * imach.c (Module): Comments concerning covariates added
   m[nrl][ncl] += NR_END;  
   m[nrl][ncl] -= nll;    * imach.c (Module): refinements in the computation of lli if
   for (j=ncl+1; j<=nch; j++)    status=-2 in order to have more reliable computation if stepm is
     m[nrl][j]=m[nrl][j-1]+nlay;    not 1 month. Version 0.98f
    
   for (i=nrl+1; i<=nrh; i++) {    Revision 1.120  2006/03/16 15:10:38  lievre
     m[i][ncl]=m[i-1l][ncl]+ncol*nlay;    (Module): refinements in the computation of lli if
     for (j=ncl+1; j<=nch; j++)    status=-2 in order to have more reliable computation if stepm is
       m[i][j]=m[i][j-1]+nlay;    not 1 month. Version 0.98f
   }  
   return m;    Revision 1.119  2006/03/15 17:42:26  brouard
 }    (Module): Bug if status = -2, the loglikelihood was
     computed as likelihood omitting the logarithm. Version O.98e
 /*************************free ma3x ************************/  
 void free_ma3x(double ***m, long nrl, long nrh, long ncl, long nch,long nll, long nlh)    Revision 1.118  2006/03/14 18:20:07  brouard
 {    (Module): varevsij Comments added explaining the second
   free((FREE_ARG)(m[nrl][ncl]+ nll-NR_END));    table of variances if popbased=1 .
   free((FREE_ARG)(m[nrl]+ncl-NR_END));    (Module): Covariances of eij, ekl added, graphs fixed, new html link.
   free((FREE_ARG)(m+nrl-NR_END));    (Module): Function pstamp added
 }    (Module): Version 0.98d
   
 /***************** f1dim *************************/    Revision 1.117  2006/03/14 17:16:22  brouard
 extern int ncom;    (Module): varevsij Comments added explaining the second
 extern double *pcom,*xicom;    table of variances if popbased=1 .
 extern double (*nrfunc)(double []);    (Module): Covariances of eij, ekl added, graphs fixed, new html link.
      (Module): Function pstamp added
 double f1dim(double x)    (Module): Version 0.98d
 {  
   int j;    Revision 1.116  2006/03/06 10:29:27  brouard
   double f;    (Module): Variance-covariance wrong links and
   double *xt;    varian-covariance of ej. is needed (Saito).
    
   xt=vector(1,ncom);    Revision 1.115  2006/02/27 12:17:45  brouard
   for (j=1;j<=ncom;j++) xt[j]=pcom[j]+x*xicom[j];    (Module): One freematrix added in mlikeli! 0.98c
   f=(*nrfunc)(xt);  
   free_vector(xt,1,ncom);    Revision 1.114  2006/02/26 12:57:58  brouard
   return f;    (Module): Some improvements in processing parameter
 }    filename with strsep.
   
 /*****************brent *************************/    Revision 1.113  2006/02/24 14:20:24  brouard
 double brent(double ax, double bx, double cx, double (*f)(double), double tol,  double *xmin)    (Module): Memory leaks checks with valgrind and:
 {    datafile was not closed, some imatrix were not freed and on matrix
   int iter;    allocation too.
   double a,b,d,etemp;  
   double fu,fv,fw,fx;    Revision 1.112  2006/01/30 09:55:26  brouard
   double ftemp;    (Module): Back to gnuplot.exe instead of wgnuplot.exe
   double p,q,r,tol1,tol2,u,v,w,x,xm;  
   double e=0.0;    Revision 1.111  2006/01/25 20:38:18  brouard
      (Module): Lots of cleaning and bugs added (Gompertz)
   a=(ax < cx ? ax : cx);    (Module): Comments can be added in data file. Missing date values
   b=(ax > cx ? ax : cx);    can be a simple dot '.'.
   x=w=v=bx;  
   fw=fv=fx=(*f)(x);    Revision 1.110  2006/01/25 00:51:50  brouard
   for (iter=1;iter<=ITMAX;iter++) {    (Module): Lots of cleaning and bugs added (Gompertz)
     xm=0.5*(a+b);  
     tol2=2.0*(tol1=tol*fabs(x)+ZEPS);    Revision 1.109  2006/01/24 19:37:15  brouard
     /*          if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret)))*/    (Module): Comments (lines starting with a #) are allowed in data.
     printf(".");fflush(stdout);  
 #ifdef DEBUG    Revision 1.108  2006/01/19 18:05:42  lievre
     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);    Gnuplot problem appeared...
     /*          if ((fabs(x-xm) <= (tol2-0.5*(b-a)))||(2.0*fabs(fu-ftemp) <= ftol*1.e-2*(fabs(fu)+fabs(ftemp)))) { */    To be fixed
 #endif  
     if (fabs(x-xm) <= (tol2-0.5*(b-a))){    Revision 1.107  2006/01/19 16:20:37  brouard
       *xmin=x;    Test existence of gnuplot in imach path
       return fx;  
     }    Revision 1.106  2006/01/19 13:24:36  brouard
     ftemp=fu;    Some cleaning and links added in html output
     if (fabs(e) > tol1) {  
       r=(x-w)*(fx-fv);    Revision 1.105  2006/01/05 20:23:19  lievre
       q=(x-v)*(fx-fw);    *** empty log message ***
       p=(x-v)*q-(x-w)*r;  
       q=2.0*(q-r);    Revision 1.104  2005/09/30 16:11:43  lievre
       if (q > 0.0) p = -p;    (Module): sump fixed, loop imx fixed, and simplifications.
       q=fabs(q);    (Module): If the status is missing at the last wave but we know
       etemp=e;    that the person is alive, then we can code his/her status as -2
       e=d;    (instead of missing=-1 in earlier versions) and his/her
       if (fabs(p) >= fabs(0.5*q*etemp) || p <= q*(a-x) || p >= q*(b-x))    contributions to the likelihood is 1 - Prob of dying from last
         d=CGOLD*(e=(x >= xm ? a-x : b-x));    health status (= 1-p13= p11+p12 in the easiest case of somebody in
       else {    the healthy state at last known wave). Version is 0.98
         d=p/q;  
         u=x+d;    Revision 1.103  2005/09/30 15:54:49  lievre
         if (u-a < tol2 || b-u < tol2)    (Module): sump fixed, loop imx fixed, and simplifications.
           d=SIGN(tol1,xm-x);  
       }    Revision 1.102  2004/09/15 17:31:30  brouard
     } else {    Add the possibility to read data file including tab characters.
       d=CGOLD*(e=(x >= xm ? a-x : b-x));  
     }    Revision 1.101  2004/09/15 10:38:38  brouard
     u=(fabs(d) >= tol1 ? x+d : x+SIGN(tol1,d));    Fix on curr_time
     fu=(*f)(u);  
     if (fu <= fx) {    Revision 1.100  2004/07/12 18:29:06  brouard
       if (u >= x) a=x; else b=x;    Add version for Mac OS X. Just define UNIX in Makefile
       SHFT(v,w,x,u)  
         SHFT(fv,fw,fx,fu)    Revision 1.99  2004/06/05 08:57:40  brouard
         } else {    *** empty log message ***
           if (u < x) a=u; else b=u;  
           if (fu <= fw || w == x) {    Revision 1.98  2004/05/16 15:05:56  brouard
             v=w;    New version 0.97 . First attempt to estimate force of mortality
             w=u;    directly from the data i.e. without the need of knowing the health
             fv=fw;    state at each age, but using a Gompertz model: log u =a + b*age .
             fw=fu;    This is the basic analysis of mortality and should be done before any
           } else if (fu <= fv || v == x || v == w) {    other analysis, in order to test if the mortality estimated from the
             v=u;    cross-longitudinal survey is different from the mortality estimated
             fv=fu;    from other sources like vital statistic data.
           }  
         }    The same imach parameter file can be used but the option for mle should be -3.
   }  
   nrerror("Too many iterations in brent");    Agnès, who wrote this part of the code, tried to keep most of the
   *xmin=x;    former routines in order to include the new code within the former code.
   return fx;  
 }    The output is very simple: only an estimate of the intercept and of
     the slope with 95% confident intervals.
 /****************** mnbrak ***********************/  
     Current limitations:
 void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, double *fc,    A) Even if you enter covariates, i.e. with the
             double (*func)(double))    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.
   double ulim,u,r,q, dum;  
   double fu;    Revision 1.97  2004/02/20 13:25:42  lievre
      Version 0.96d. Population forecasting command line is (temporarily)
   *fa=(*func)(*ax);    suppressed.
   *fb=(*func)(*bx);  
   if (*fb > *fa) {    Revision 1.96  2003/07/15 15:38:55  brouard
     SHFT(dum,*ax,*bx,dum)    * imach.c (Repository): Errors in subdirf, 2, 3 while printing tmpout is
       SHFT(dum,*fb,*fa,dum)    rewritten within the same printf. Workaround: many printfs.
       }  
   *cx=(*bx)+GOLD*(*bx-*ax);    Revision 1.95  2003/07/08 07:54:34  brouard
   *fc=(*func)(*cx);    * imach.c (Repository):
   while (*fb > *fc) {    (Repository): Using imachwizard code to output a more meaningful covariance
     r=(*bx-*ax)*(*fb-*fc);    matrix (cov(a12,c31) instead of numbers.
     q=(*bx-*cx)*(*fb-*fa);  
     u=(*bx)-((*bx-*cx)*q-(*bx-*ax)*r)/    Revision 1.94  2003/06/27 13:00:02  brouard
       (2.0*SIGN(FMAX(fabs(q-r),TINY),q-r));    Just cleaning
     ulim=(*bx)+GLIMIT*(*cx-*bx);  
     if ((*bx-u)*(u-*cx) > 0.0) {    Revision 1.93  2003/06/25 16:33:55  brouard
       fu=(*func)(u);    (Module): On windows (cygwin) function asctime_r doesn't
     } else if ((*cx-u)*(u-ulim) > 0.0) {    exist so I changed back to asctime which exists.
       fu=(*func)(u);    (Module): Version 0.96b
       if (fu < *fc) {  
         SHFT(*bx,*cx,u,*cx+GOLD*(*cx-*bx))    Revision 1.92  2003/06/25 16:30:45  brouard
           SHFT(*fb,*fc,fu,(*func)(u))    (Module): On windows (cygwin) function asctime_r doesn't
           }    exist so I changed back to asctime which exists.
     } else if ((u-ulim)*(ulim-*cx) >= 0.0) {  
       u=ulim;    Revision 1.91  2003/06/25 15:30:29  brouard
       fu=(*func)(u);    * imach.c (Repository): Duplicated warning errors corrected.
     } else {    (Repository): Elapsed time after each iteration is now output. It
       u=(*cx)+GOLD*(*cx-*bx);    helps to forecast when convergence will be reached. Elapsed time
       fu=(*func)(u);    is stamped in powell.  We created a new html file for the graphs
     }    concerning matrix of covariance. It has extension -cov.htm.
     SHFT(*ax,*bx,*cx,u)  
       SHFT(*fa,*fb,*fc,fu)    Revision 1.90  2003/06/24 12:34:15  brouard
       }    (Module): Some bugs corrected for windows. Also, when
 }    mle=-1 a template is output in file "or"mypar.txt with the design
     of the covariance matrix to be input.
 /*************** linmin ************************/  
     Revision 1.89  2003/06/24 12:30:52  brouard
 int ncom;    (Module): Some bugs corrected for windows. Also, when
 double *pcom,*xicom;    mle=-1 a template is output in file "or"mypar.txt with the design
 double (*nrfunc)(double []);    of the covariance matrix to be input.
    
 void linmin(double p[], double xi[], int n, double *fret,double (*func)(double []))    Revision 1.88  2003/06/23 17:54:56  brouard
 {    * imach.c (Repository): Create a sub-directory where all the secondary files are. Only imach, htm, gp and r(imach) are on the main directory. Correct time and other things.
   double brent(double ax, double bx, double cx,  
                double (*f)(double), double tol, double *xmin);    Revision 1.87  2003/06/18 12:26:01  brouard
   double f1dim(double x);    Version 0.96
   void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb,  
               double *fc, double (*func)(double));    Revision 1.86  2003/06/17 20:04:08  brouard
   int j;    (Module): Change position of html and gnuplot routines and added
   double xx,xmin,bx,ax;    routine fileappend.
   double fx,fb,fa;  
      Revision 1.85  2003/06/17 13:12:43  brouard
   ncom=n;    * imach.c (Repository): Check when date of death was earlier that
   pcom=vector(1,n);    current date of interview. It may happen when the death was just
   xicom=vector(1,n);    prior to the death. In this case, dh was negative and likelihood
   nrfunc=func;    was wrong (infinity). We still send an "Error" but patch by
   for (j=1;j<=n;j++) {    assuming that the date of death was just one stepm after the
     pcom[j]=p[j];    interview.
     xicom[j]=xi[j];    (Repository): Because some people have very long ID (first column)
   }    we changed int to long in num[] and we added a new lvector for
   ax=0.0;    memory allocation. But we also truncated to 8 characters (left
   xx=1.0;    truncation)
   mnbrak(&ax,&xx,&bx,&fa,&fx,&fb,f1dim);    (Repository): No more line truncation errors.
   *fret=brent(ax,xx,bx,f1dim,TOL,&xmin);  
 #ifdef DEBUG    Revision 1.84  2003/06/13 21:44:43  brouard
   printf("retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);    * imach.c (Repository): Replace "freqsummary" at a correct
 #endif    place. It differs from routine "prevalence" which may be called
   for (j=1;j<=n;j++) {    many times. Probs is memory consuming and must be used with
     xi[j] *= xmin;    parcimony.
     p[j] += xi[j];    Version 0.95a3 (should output exactly the same maximization than 0.8a2)
   }  
   free_vector(xicom,1,n);    Revision 1.83  2003/06/10 13:39:11  lievre
   free_vector(pcom,1,n);    *** empty log message ***
 }  
     Revision 1.82  2003/06/05 15:57:20  brouard
 /*************** powell ************************/    Add log in  imach.c and  fullversion number is now printed.
 void powell(double p[], double **xi, int n, double ftol, int *iter, double *fret,  
             double (*func)(double []))  */
 {  /*
   void linmin(double p[], double xi[], int n, double *fret,     Interpolated Markov Chain
               double (*func)(double []));  
   int i,ibig,j;    Short summary of the programme:
   double del,t,*pt,*ptt,*xit;    
   double fp,fptt;    This program computes Healthy Life Expectancies from
   double *xits;    cross-longitudinal data. Cross-longitudinal data consist in: -1- a
   pt=vector(1,n);    first survey ("cross") where individuals from different ages are
   ptt=vector(1,n);    interviewed on their health status or degree of disability (in the
   xit=vector(1,n);    case of a health survey which is our main interest) -2- at least a
   xits=vector(1,n);    second wave of interviews ("longitudinal") which measure each change
   *fret=(*func)(p);    (if any) in individual health status.  Health expectancies are
   for (j=1;j<=n;j++) pt[j]=p[j];    computed from the time spent in each health state according to a
   for (*iter=1;;++(*iter)) {    model. More health states you consider, more time is necessary to reach the
     fp=(*fret);    Maximum Likelihood of the parameters involved in the model.  The
     ibig=0;    simplest model is the multinomial logistic model where pij is the
     del=0.0;    probability to be observed in state j at the second wave
     printf("\nPowell iter=%d -2*LL=%.12f",*iter,*fret);    conditional to be observed in state i at the first wave. Therefore
     for (i=1;i<=n;i++)    the model is: log(pij/pii)= aij + bij*age+ cij*sex + etc , where
       printf(" %d %.12f",i, p[i]);    'age' is age and 'sex' is a covariate. If you want to have a more
     printf("\n");    complex model than "constant and age", you should modify the program
     for (i=1;i<=n;i++) {    where the markup *Covariates have to be included here again* invites
       for (j=1;j<=n;j++) xit[j]=xi[j][i];    you to do it.  More covariates you add, slower the
       fptt=(*fret);    convergence.
 #ifdef DEBUG  
       printf("fret=%lf \n",*fret);    The advantage of this computer programme, compared to a simple
 #endif    multinomial logistic model, is clear when the delay between waves is not
       printf("%d",i);fflush(stdout);    identical for each individual. Also, if a individual missed an
       linmin(p,xit,n,fret,func);    intermediate interview, the information is lost, but taken into
       if (fabs(fptt-(*fret)) > del) {    account using an interpolation or extrapolation.  
         del=fabs(fptt-(*fret));  
         ibig=i;    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
 #ifdef DEBUG    split into an exact number (nh*stepm) of unobserved intermediate
       printf("%d %.12e",i,(*fret));    states. This elementary transition (by month, quarter,
       for (j=1;j<=n;j++) {    semester or year) is modelled as a multinomial logistic.  The hPx
         xits[j]=FMAX(fabs(p[j]-pt[j]),1.e-5);    matrix is simply the matrix product of nh*stepm elementary matrices
         printf(" x(%d)=%.12e",j,xit[j]);    and the contribution of each individual to the likelihood is simply
       }    hPijx.
       for(j=1;j<=n;j++)  
         printf(" p=%.12e",p[j]);    Also this programme outputs the covariance matrix of the parameters but also
       printf("\n");    of the life expectancies. It also computes the period (stable) prevalence. 
 #endif    
     }    Authors: Nicolas Brouard (brouard@ined.fr) and Agnès Lièvre (lievre@ined.fr).
     if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret))) {             Institut national d'études démographiques, Paris.
 #ifdef DEBUG    This software have been partly granted by Euro-REVES, a concerted action
       int k[2],l;    from the European Union.
       k[0]=1;    It is copyrighted identically to a GNU software product, ie programme and
       k[1]=-1;    software can be distributed freely for non commercial use. Latest version
       printf("Max: %.12e",(*func)(p));    can be accessed at http://euroreves.ined.fr/imach .
       for (j=1;j<=n;j++)  
         printf(" %.12e",p[j]);    Help to debug: LD_PRELOAD=/usr/local/lib/libnjamd.so ./imach foo.imach
       printf("\n");    or better on gdb : set env LD_PRELOAD=/usr/local/lib/libnjamd.so
       for(l=0;l<=1;l++) {    
         for (j=1;j<=n;j++) {    **********************************************************************/
           ptt[j]=p[j]+(p[j]-pt[j])*k[l];  /*
           printf("l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);    main
         }    read parameterfile
         printf("func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));    read datafile
       }    concatwav
 #endif    freqsummary
     if (mle >= 1)
       mlikeli
       free_vector(xit,1,n);    print results files
       free_vector(xits,1,n);    if mle==1 
       free_vector(ptt,1,n);       computes hessian
       free_vector(pt,1,n);    read end of parameter file: agemin, agemax, bage, fage, estepm
       return;        begin-prev-date,...
     }    open gnuplot file
     if (*iter == ITMAX) nrerror("powell exceeding maximum iterations.");    open html file
     for (j=1;j<=n;j++) {    period (stable) prevalence      | pl_nom    1-1 2-2 etc by covariate
       ptt[j]=2.0*p[j]-pt[j];     for age prevalim()             | #****** V1=0  V2=1  V3=1  V4=0 ******
       xit[j]=p[j]-pt[j];                                    | 65 1 0 2 1 3 1 4 0  0.96326 0.03674
       pt[j]=p[j];      freexexit2 possible for memory heap.
     }  
     fptt=(*func)(ptt);    h Pij x                         | pij_nom  ficrestpij
     if (fptt < fp) {     # Cov Agex agex+h hpijx with i,j= 1-1 1-2     1-3     2-1     2-2     2-3
       t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)-del*SQR(fp-fptt);         1  85   85    1.00000             0.00000 0.00000 0.00000 1.00000 0.00000
       if (t < 0.0) {         1  85   86    0.68299             0.22291 0.09410 0.71093 0.00000 0.28907
         linmin(p,xit,n,fret,func);  
         for (j=1;j<=n;j++) {         1  65   99    0.00364             0.00322 0.99314 0.00350 0.00310 0.99340
           xi[j][ibig]=xi[j][n];         1  65  100    0.00214             0.00204 0.99581 0.00206 0.00196 0.99597
           xi[j][n]=xit[j];    variance of p one-step probabilities varprob  | prob_nom   ficresprob #One-step probabilities and stand. devi in ()
         }     Standard deviation of one-step probabilities | probcor_nom   ficresprobcor #One-step probabilities and correlation matrix
 #ifdef DEBUG     Matrix of variance covariance of one-step probabilities |  probcov_nom ficresprobcov #One-step probabilities and covariance matrix
         printf("Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);  
         for(j=1;j<=n;j++)    forecasting if prevfcast==1 prevforecast call prevalence()
           printf(" %.12e",xit[j]);    health expectancies
         printf("\n");    Variance-covariance of DFLE
 #endif    prevalence()
       }     movingaverage()
     }    varevsij() 
   }    if popbased==1 varevsij(,popbased)
 }    total life expectancies
     Variance of period (stable) prevalence
 /**** Prevalence limit ****************/   end
   */
 double **prevalim(double **prlim, int nlstate, double x[], double age, double **oldm, double **savm, double ftolpl, int ij)  
 {  /* #define DEBUG */
   /* Computes the prevalence limit in each live state at age x by left multiplying the unit  /* #define DEBUGBRENT */
      matrix by transitions matrix until convergence is reached */  #define POWELL /* Instead of NLOPT */
   #define POWELLF1F3 /* Skip test */
   int i, ii,j,k;  /* #define POWELLORIGINAL /\* Don't use Directest to decide new direction but original Powell test *\/ */
   double min, max, maxmin, maxmax,sumnew=0.;  /* #define MNBRAKORIGINAL /\* Don't use mnbrak fix *\/ */
   double **matprod2();  
   double **out, cov[NCOVMAX], **pmij();  #include <math.h>
   double **newm;  #include <stdio.h>
   double agefin, delaymax=50 ; /* Max number of years to converge */  #include <stdlib.h>
   #include <string.h>
   for (ii=1;ii<=nlstate+ndeath;ii++)  
     for (j=1;j<=nlstate+ndeath;j++){  #ifdef _WIN32
       oldm[ii][j]=(ii==j ? 1.0 : 0.0);  #include <io.h>
     }  #include <windows.h>
   #include <tchar.h>
    cov[1]=1.;  #else
    #include <unistd.h>
  /* Even if hstepm = 1, at least one multiplication by the unit matrix */  #endif
   for(agefin=age-stepm/YEARM; agefin>=age-delaymax; agefin=agefin-stepm/YEARM){  
     newm=savm;  #include <limits.h>
     /* Covariates have to be included here again */  #include <sys/types.h>
      cov[2]=agefin;  
    #if defined(__GNUC__)
       for (k=1; k<=cptcovn;k++) {  #include <sys/utsname.h> /* Doesn't work on Windows */
         cov[2+k]=nbcode[Tvar[k]][codtab[ij][Tvar[k]]];  #endif
         /*printf("ij=%d Tvar[k]=%d nbcode=%d cov=%lf\n",ij, Tvar[k],nbcode[Tvar[k]][codtab[ij][Tvar[k]]],cov[2+k]);*/  
       }  #include <sys/stat.h>
       for (k=1; k<=cptcovage;k++)  #include <errno.h>
         cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2];  /* extern int errno; */
       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]]];  /* #ifdef LINUX */
   /* #include <time.h> */
       /*printf("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/  /* #include "timeval.h" */
       /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/  /* #else */
   /* #include <sys/time.h> */
     out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm);  /* #endif */
   
     savm=oldm;  #include <time.h>
     oldm=newm;  
     maxmax=0.;  #ifdef GSL
     for(j=1;j<=nlstate;j++){  #include <gsl/gsl_errno.h>
       min=1.;  #include <gsl/gsl_multimin.h>
       max=0.;  #endif
       for(i=1; i<=nlstate; i++) {  
         sumnew=0;  
         for(k=1; k<=ndeath; k++) sumnew+=newm[i][nlstate+k];  #ifdef NLOPT
         prlim[i][j]= newm[i][j]/(1-sumnew);  #include <nlopt.h>
         max=FMAX(max,prlim[i][j]);  typedef struct {
         min=FMIN(min,prlim[i][j]);    double (* function)(double [] );
       }  } myfunc_data ;
       maxmin=max-min;  #endif
       maxmax=FMAX(maxmax,maxmin);  
     }  /* #include <libintl.h> */
     if(maxmax < ftolpl){  /* #define _(String) gettext (String) */
       return prlim;  
     }  #define MAXLINE 1024 /* Was 256. Overflow with 312 with 2 states and 4 covariates. Should be ok */
   }  
 }  #define GNUPLOTPROGRAM "gnuplot"
   /*#define GNUPLOTPROGRAM "..\\gp37mgw\\wgnuplot"*/
 /*************** transition probabilities ***************/  #define FILENAMELENGTH 132
   
 double **pmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )  #define GLOCK_ERROR_NOPATH              -1      /* empty path */
 {  #define GLOCK_ERROR_GETCWD              -2      /* cannot get cwd */
   double s1, s2;  
   /*double t34;*/  #define MAXPARM 128 /**< Maximum number of parameters for the optimization */
   int i,j,j1, nc, ii, jj;  #define NPARMAX 64 /**< (nlstate+ndeath-1)*nlstate*ncovmodel */
   
     for(i=1; i<= nlstate; i++){  #define NINTERVMAX 8
     for(j=1; j<i;j++){  #define NLSTATEMAX 8 /**< Maximum number of live states (for func) */
       for (nc=1, s2=0.;nc <=ncovmodel; nc++){  #define NDEATHMAX 8 /**< Maximum number of dead states (for func) */
         /*s2 += param[i][j][nc]*cov[nc];*/  #define NCOVMAX 20 /**< Maximum number of covariates, including generated covariates V1*V2 */
         s2 += x[(i-1)*nlstate*ncovmodel+(j-1)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];  #define codtabm(h,k)  (1 & (h-1) >> (k-1))+1
         /*printf("Int j<i s1=%.17e, s2=%.17e\n",s1,s2);*/  #define MAXN 20000
       }  #define YEARM 12. /**< Number of months per year */
       ps[i][j]=s2;  #define AGESUP 130
       /*printf("s1=%.17e, s2=%.17e\n",s1,s2);*/  #define AGEBASE 40
     }  #define AGEOVERFLOW 1.e20
     for(j=i+1; j<=nlstate+ndeath;j++){  #define AGEGOMP 10 /**< Minimal age for Gompertz adjustment */
       for (nc=1, s2=0.;nc <=ncovmodel; nc++){  #ifdef _WIN32
         s2 += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];  #define DIRSEPARATOR '\\'
         /*printf("Int j>i s1=%.17e, s2=%.17e %lx %lx\n",s1,s2,s1,s2);*/  #define CHARSEPARATOR "\\"
       }  #define ODIRSEPARATOR '/'
       ps[i][j]=(s2);  #else
     }  #define DIRSEPARATOR '/'
   }  #define CHARSEPARATOR "/"
     /*ps[3][2]=1;*/  #define ODIRSEPARATOR '\\'
   #endif
   for(i=1; i<= nlstate; i++){  
      s1=0;  /* $Id$ */
     for(j=1; j<i; j++)  /* $State$ */
       s1+=exp(ps[i][j]);  #include "version.h"
     for(j=i+1; j<=nlstate+ndeath; j++)  char version[]=__IMACH_VERSION__;
       s1+=exp(ps[i][j]);  char copyright[]="September 2015,INED-EUROREVES-Institut de longevite-Japan Society for the Promotion of Science (Grant-in-Aid for Scientific Research 25293121), Intel Software 2015";
     ps[i][i]=1./(s1+1.);  char fullversion[]="$Revision$ $Date$"; 
     for(j=1; j<i; j++)  char strstart[80];
       ps[i][j]= exp(ps[i][j])*ps[i][i];  char optionfilext[10], optionfilefiname[FILENAMELENGTH];
     for(j=i+1; j<=nlstate+ndeath; j++)  int erreur=0, nberr=0, nbwarn=0; /* Error number, number of errors number of warnings  */
       ps[i][j]= exp(ps[i][j])*ps[i][i];  int nagesqr=0, nforce=0; /* nagesqr=1 if model is including age*age, number of forces */
     /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */  /* Number of covariates model=V2+V1+ V3*age+V2*V4 */
   } /* end i */  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) */
   for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){  int cptcovs=0; /**< cptcovs number of simple covariates V2+V1 =2 */
     for(jj=1; jj<= nlstate+ndeath; jj++){  int cptcovage=0; /**< Number of covariates with age: V3*age only =1 */
       ps[ii][jj]=0;  int cptcovprodnoage=0; /**< Number of covariate products without age */   
       ps[ii][ii]=1;  int cptcoveff=0; /* Total number of covariates to vary for printing results */
     }  int cptcov=0; /* Working variable */
   }  int npar=NPARMAX;
   int nlstate=2; /* Number of live states */
   int ndeath=1; /* Number of dead states */
   /*   for(ii=1; ii<= nlstate+ndeath; ii++){  int ncovmodel=0, ncovcol=0;     /* Total number of covariables including constant a12*1 +b12*x ncovmodel=2 */
     for(jj=1; jj<= nlstate+ndeath; jj++){  int popbased=0;
      printf("%lf ",ps[ii][jj]);  
    }  int *wav; /* Number of waves for this individuual 0 is possible */
     printf("\n ");  int maxwav=0; /* Maxim number of waves */
     }  int jmin=0, jmax=0; /* min, max spacing between 2 waves */
     printf("\n ");printf("%lf ",cov[2]);*/  int ijmin=0, ijmax=0; /* Individuals having jmin and jmax */ 
 /*  int gipmx=0, gsw=0; /* Global variables on the number of contributions 
   for(i=1; i<= npar; i++) printf("%f ",x[i]);                     to the likelihood and the sum of weights (done by funcone)*/
   goto end;*/  int mle=1, weightopt=0;
     return ps;  int **mw; /* mw[mi][i] is number of the mi wave for this individual */
 }  int **dh; /* dh[mi][i] is number of steps between mi,mi+1 for this individual */
   int **bh; /* bh[mi][i] is the bias (+ or -) for this individual if the delay between
 /**************** Product of 2 matrices ******************/             * wave mi and wave mi+1 is not an exact multiple of stepm. */
   int countcallfunc=0;  /* Count the number of calls to func */
 double **matprod2(double **out, double **in,long nrl, long nrh, long ncl, long nch, long ncolol, long ncoloh, double **b)  double jmean=1; /* Mean space between 2 waves */
 {  double **matprod2(); /* test */
   /* Computes the matrix product of in(1,nrh-nrl+1)(1,nch-ncl+1) times  double **oldm, **newm, **savm; /* Working pointers to matrices */
      b(1,nch-ncl+1)(1,ncoloh-ncolol+1) into out(...) */  double **oldms, **newms, **savms; /* Fixed working pointers to matrices */
   /* in, b, out are matrice of pointers which should have been initialized  /*FILE *fic ; */ /* Used in readdata only */
      before: only the contents of out is modified. The function returns  FILE *ficpar, *ficparo,*ficres, *ficresp, *ficrespl, *ficrespij, *ficrest,*ficresf,*ficrespop;
      a pointer to pointers identical to out */  FILE *ficlog, *ficrespow;
   long i, j, k;  int globpr=0; /* Global variable for printing or not */
   for(i=nrl; i<= nrh; i++)  double fretone; /* Only one call to likelihood */
     for(k=ncolol; k<=ncoloh; k++)  long ipmx=0; /* Number of contributions */
       for(j=ncl,out[i][k]=0.; j<=nch; j++)  double sw; /* Sum of weights */
         out[i][k] +=in[i][j]*b[j][k];  char filerespow[FILENAMELENGTH];
   char fileresilk[FILENAMELENGTH]; /* File of individual contributions to the likelihood */
   return out;  FILE *ficresilk;
 }  FILE *ficgp,*ficresprob,*ficpop, *ficresprobcov, *ficresprobcor;
   FILE *ficresprobmorprev;
   FILE *fichtm, *fichtmcov; /* Html File */
 /************* Higher Matrix Product ***************/  FILE *ficreseij;
   char filerese[FILENAMELENGTH];
 double ***hpxij(double ***po, int nhstepm, double age, int hstepm, double *x, int nlstate, int stepm, double **oldm, double **savm, int ij )  FILE *ficresstdeij;
 {  char fileresstde[FILENAMELENGTH];
   /* Computes the transition matrix starting at age 'age' over 'nhstepm*hstepm*stepm' month  FILE *ficrescveij;
      duration (i.e. until  char filerescve[FILENAMELENGTH];
      age (in years)  age+nhstepm*stepm/12) by multiplying nhstepm*hstepm matrices.  FILE  *ficresvij;
      Output is stored in matrix po[i][j][h] for h every 'hstepm' step  char fileresv[FILENAMELENGTH];
      (typically every 2 years instead of every month which is too big).  FILE  *ficresvpl;
      Model is determined by parameters x and covariates have to be  char fileresvpl[FILENAMELENGTH];
      included manually here.  char title[MAXLINE];
   char optionfile[FILENAMELENGTH], datafile[FILENAMELENGTH],  filerespl[FILENAMELENGTH];
      */  char plotcmd[FILENAMELENGTH], pplotcmd[FILENAMELENGTH];
   char tmpout[FILENAMELENGTH],  tmpout2[FILENAMELENGTH]; 
   int i, j, d, h, k;  char command[FILENAMELENGTH];
   double **out, cov[NCOVMAX];  int  outcmd=0;
   double **newm;  
   char fileres[FILENAMELENGTH], filerespij[FILENAMELENGTH], filereso[FILENAMELENGTH], rfileres[FILENAMELENGTH];
   /* Hstepm could be zero and should return the unit matrix */  
   for (i=1;i<=nlstate+ndeath;i++)  char filelog[FILENAMELENGTH]; /* Log file */
     for (j=1;j<=nlstate+ndeath;j++){  char filerest[FILENAMELENGTH];
       oldm[i][j]=(i==j ? 1.0 : 0.0);  char fileregp[FILENAMELENGTH];
       po[i][j][0]=(i==j ? 1.0 : 0.0);  char popfile[FILENAMELENGTH];
     }  
   /* Even if hstepm = 1, at least one multiplication by the unit matrix */  char optionfilegnuplot[FILENAMELENGTH], optionfilehtm[FILENAMELENGTH], optionfilehtmcov[FILENAMELENGTH] ;
   for(h=1; h <=nhstepm; h++){  
     for(d=1; d <=hstepm; d++){  /* struct timeval start_time, end_time, curr_time, last_time, forecast_time; */
       newm=savm;  /* struct timezone tzp; */
       /* Covariates have to be included here again */  /* extern int gettimeofday(); */
       cov[1]=1.;  struct tm tml, *gmtime(), *localtime();
       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]]];  extern time_t time();
       for (k=1; k<=cptcovage;k++)  
         cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2];  struct tm start_time, end_time, curr_time, last_time, forecast_time;
       for (k=1; k<=cptcovprod;k++)  time_t  rstart_time, rend_time, rcurr_time, rlast_time, rforecast_time; /* raw time */
         cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]]*nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]];  struct tm tm;
   
   char strcurr[80], strfor[80];
       /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/  
       /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/  char *endptr;
       out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath,  long lval;
                    pmij(pmmij,cov,ncovmodel,x,nlstate));  double dval;
       savm=oldm;  
       oldm=newm;  #define NR_END 1
     }  #define FREE_ARG char*
     for(i=1; i<=nlstate+ndeath; i++)  #define FTOL 1.0e-10
       for(j=1;j<=nlstate+ndeath;j++) {  
         po[i][j][h]=newm[i][j];  #define NRANSI 
         /*printf("i=%d j=%d h=%d po[i][j][h]=%f ",i,j,h,po[i][j][h]);  #define ITMAX 200 
          */  
       }  #define TOL 2.0e-4 
   } /* end h */  
   return po;  #define CGOLD 0.3819660 
 }  #define ZEPS 1.0e-10 
   #define SHFT(a,b,c,d) (a)=(b);(b)=(c);(c)=(d); 
   
 /*************** log-likelihood *************/  #define GOLD 1.618034 
 double func( double *x)  #define GLIMIT 100.0 
 {  #define TINY 1.0e-20 
   int i, ii, j, k, mi, d, kk;  
   double l, ll[NLSTATEMAX], cov[NCOVMAX];  static double maxarg1,maxarg2;
   double **out;  #define FMAX(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)>(maxarg2)? (maxarg1):(maxarg2))
   double sw; /* Sum of weights */  #define FMIN(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)<(maxarg2)? (maxarg1):(maxarg2))
   double lli; /* Individual log likelihood */    
   long ipmx;  #define SIGN(a,b) ((b)>0.0 ? fabs(a) : -fabs(a))
   /*extern weight */  #define rint(a) floor(a+0.5)
   /* We are differentiating ll according to initial status */  /* http://www.thphys.uni-heidelberg.de/~robbers/cmbeasy/doc/html/myutils_8h-source.html */
   /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/  #define mytinydouble 1.0e-16
   /*for(i=1;i<imx;i++)  /* #define DEQUAL(a,b) (fabs((a)-(b))<mytinydouble) */
     printf(" %d\n",s[4][i]);  /* http://www.thphys.uni-heidelberg.de/~robbers/cmbeasy/doc/html/mynrutils_8h-source.html */
   */  /* static double dsqrarg; */
   cov[1]=1.;  /* #define DSQR(a) (DEQUAL((dsqrarg=(a)),0.0) ? 0.0 : dsqrarg*dsqrarg) */
   static double sqrarg;
   for(k=1; k<=nlstate; k++) ll[k]=0.;  #define SQR(a) ((sqrarg=(a)) == 0.0 ? 0.0 :sqrarg*sqrarg)
   for (i=1,ipmx=0, sw=0.; i<=imx; i++){  #define SWAP(a,b) {temp=(a);(a)=(b);(b)=temp;} 
     for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];  int agegomp= AGEGOMP;
     for(mi=1; mi<= wav[i]-1; mi++){  
       for (ii=1;ii<=nlstate+ndeath;ii++)  int imx; 
         for (j=1;j<=nlstate+ndeath;j++) oldm[ii][j]=(ii==j ? 1.0 : 0.0);  int stepm=1;
       for(d=0; d<dh[mi][i]; d++){  /* Stepm, step in month: minimum step interpolation*/
         newm=savm;  
         cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;  int estepm;
         for (kk=1; kk<=cptcovage;kk++) {  /* Estepm, step in month to interpolate survival function in order to approximate Life Expectancy*/
           cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];  
         }  int m,nb;
          long *num;
         out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,  int firstpass=0, lastpass=4,*cod, *cens;
                      1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));  int *ncodemax;  /* ncodemax[j]= Number of modalities of the j th
         savm=oldm;                     covariate for which somebody answered excluding 
         oldm=newm;                     undefined. Usually 2: 0 and 1. */
          int *ncodemaxwundef;  /* ncodemax[j]= Number of modalities of the j th
                                       covariate for which somebody answered including 
       } /* end mult */                               undefined. Usually 3: -1, 0 and 1. */
        double **agev,*moisnais, *annais, *moisdc, *andc,**mint, **anint;
       lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);  double **pmmij, ***probs;
       /* printf(" %f ",out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);*/  double *ageexmed,*agecens;
       ipmx +=1;  double dateintmean=0;
       sw += weight[i];  
       ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;  double *weight;
     } /* end of wave */  int **s; /* Status */
   } /* end of individual */  double *agedc;
   double  **covar; /**< covar[j,i], value of jth covariate for individual i,
   for(k=1,l=0.; k<=nlstate; k++) l += ll[k];                    * covar=matrix(0,NCOVMAX,1,n); 
   /* printf("l1=%f l2=%f ",ll[1],ll[2]); */                    * cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*age; */
   l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */  double  idx; 
   return -l;  int **nbcode, *Tvar; /**< model=V2 => Tvar[1]= 2 */
 }  int *Tage;
   int *Ndum; /** Freq of modality (tricode */
   /* int **codtab;*/ /**< codtab=imatrix(1,100,1,10); */
 /*********** Maximum Likelihood Estimation ***************/  int **Tvard, *Tprod, cptcovprod, *Tvaraff;
   double *lsurv, *lpop, *tpop;
 void mlikeli(FILE *ficres,double p[], int npar, int ncovmodel, int nlstate, double ftol, double (*func)(double []))  
 {  double ftol=FTOL; /**< Tolerance for computing Max Likelihood */
   int i,j, iter;  double ftolhess; /**< Tolerance for computing hessian */
   double **xi,*delti;  
   double fret;  /**************** split *************************/
   xi=matrix(1,npar,1,npar);  static  int split( char *path, char *dirc, char *name, char *ext, char *finame )
   for (i=1;i<=npar;i++)  {
     for (j=1;j<=npar;j++)    /* From a file name with (full) path (either Unix or Windows) we extract the directory (dirc)
       xi[i][j]=(i==j ? 1.0 : 0.0);       the name of the file (name), its extension only (ext) and its first part of the name (finame)
   printf("Powell\n");    */ 
   powell(p,xi,npar,ftol,&iter,&fret,func);    char  *ss;                            /* pointer */
     int   l1=0, l2=0;                             /* length counters */
    printf("\n#Number of iterations = %d, -2 Log likelihood = %.12f\n",iter,func(p));  
   fprintf(ficres,"#Number of iterations = %d, -2 Log likelihood = %.12f \n",iter,func(p));    l1 = strlen(path );                   /* length of path */
     if ( l1 == 0 ) return( GLOCK_ERROR_NOPATH );
 }    ss= strrchr( path, DIRSEPARATOR );            /* find last / */
     if ( ss == NULL ) {                   /* no directory, so determine current directory */
 /**** Computes Hessian and covariance matrix ***/      strcpy( name, path );               /* we got the fullname name because no directory */
 void hesscov(double **matcov, double p[], int npar, double delti[], double ftolhess, double (*func)(double []))      /*if(strrchr(path, ODIRSEPARATOR )==NULL)
 {        printf("Warning you should use %s as a separator\n",DIRSEPARATOR);*/
   double  **a,**y,*x,pd;      /* get current working directory */
   double **hess;      /*    extern  char* getcwd ( char *buf , int len);*/
   int i, j,jk;  #ifdef WIN32
   int *indx;      if (_getcwd( dirc, FILENAME_MAX ) == NULL ) {
   #else
   double hessii(double p[], double delta, int theta, double delti[]);          if (getcwd(dirc, FILENAME_MAX) == NULL) {
   double hessij(double p[], double delti[], int i, int j);  #endif
   void lubksb(double **a, int npar, int *indx, double b[]) ;        return( GLOCK_ERROR_GETCWD );
   void ludcmp(double **a, int npar, int *indx, double *d) ;      }
       /* got dirc from getcwd*/
   hess=matrix(1,npar,1,npar);      printf(" DIRC = %s \n",dirc);
     } else {                              /* strip direcotry from path */
   printf("\nCalculation of the hessian matrix. Wait...\n");      ss++;                               /* after this, the filename */
   for (i=1;i<=npar;i++){      l2 = strlen( ss );                  /* length of filename */
     printf("%d",i);fflush(stdout);      if ( l2 == 0 ) return( GLOCK_ERROR_NOPATH );
     hess[i][i]=hessii(p,ftolhess,i,delti);      strcpy( name, ss );         /* save file name */
     /*printf(" %f ",p[i]);*/      strncpy( dirc, path, l1 - l2 );     /* now the directory */
     /*printf(" %lf ",hess[i][i]);*/      dirc[l1-l2] = '\0';                 /* add zero */
   }      printf(" DIRC2 = %s \n",dirc);
      }
   for (i=1;i<=npar;i++) {    /* We add a separator at the end of dirc if not exists */
     for (j=1;j<=npar;j++)  {    l1 = strlen( dirc );                  /* length of directory */
       if (j>i) {    if( dirc[l1-1] != DIRSEPARATOR ){
         printf(".%d%d",i,j);fflush(stdout);      dirc[l1] =  DIRSEPARATOR;
         hess[i][j]=hessij(p,delti,i,j);      dirc[l1+1] = 0; 
         hess[j][i]=hess[i][j];          printf(" DIRC3 = %s \n",dirc);
         /*printf(" %lf ",hess[i][j]);*/    }
       }    ss = strrchr( name, '.' );            /* find last / */
     }    if (ss >0){
   }      ss++;
   printf("\n");      strcpy(ext,ss);                     /* save extension */
       l1= strlen( name);
   printf("\nInverting the hessian to get the covariance matrix. Wait...\n");      l2= strlen(ss)+1;
        strncpy( finame, name, l1-l2);
   a=matrix(1,npar,1,npar);      finame[l1-l2]= 0;
   y=matrix(1,npar,1,npar);    }
   x=vector(1,npar);  
   indx=ivector(1,npar);    return( 0 );                          /* we're done */
   for (i=1;i<=npar;i++)  }
     for (j=1;j<=npar;j++) a[i][j]=hess[i][j];  
   ludcmp(a,npar,indx,&pd);  
   /******************************************/
   for (j=1;j<=npar;j++) {  
     for (i=1;i<=npar;i++) x[i]=0;  void replace_back_to_slash(char *s, char*t)
     x[j]=1;  {
     lubksb(a,npar,indx,x);    int i;
     for (i=1;i<=npar;i++){    int lg=0;
       matcov[i][j]=x[i];    i=0;
     }    lg=strlen(t);
   }    for(i=0; i<= lg; i++) {
       (s[i] = t[i]);
   printf("\n#Hessian matrix#\n");      if (t[i]== '\\') s[i]='/';
   for (i=1;i<=npar;i++) {    }
     for (j=1;j<=npar;j++) {  }
       printf("%.3e ",hess[i][j]);  
     }  char *trimbb(char *out, char *in)
     printf("\n");  { /* Trim multiple blanks in line but keeps first blanks if line starts with blanks */
   }    char *s;
     s=out;
   /* Recompute Inverse */    while (*in != '\0'){
   for (i=1;i<=npar;i++)      while( *in == ' ' && *(in+1) == ' '){ /* && *(in+1) != '\0'){*/
     for (j=1;j<=npar;j++) a[i][j]=matcov[i][j];        in++;
   ludcmp(a,npar,indx,&pd);      }
       *out++ = *in++;
   /*  printf("\n#Hessian matrix recomputed#\n");    }
     *out='\0';
   for (j=1;j<=npar;j++) {    return s;
     for (i=1;i<=npar;i++) x[i]=0;  }
     x[j]=1;  
     lubksb(a,npar,indx,x);  /* char *substrchaine(char *out, char *in, char *chain) */
     for (i=1;i<=npar;i++){  /* { */
       y[i][j]=x[i];  /*   /\* Substract chain 'chain' from 'in', return and output 'out' *\/ */
       printf("%.3e ",y[i][j]);  /*   char *s, *t; */
     }  /*   t=in;s=out; */
     printf("\n");  /*   while ((*in != *chain) && (*in != '\0')){ */
   }  /*     *out++ = *in++; */
   */  /*   } */
   
   free_matrix(a,1,npar,1,npar);  /*   /\* *in matches *chain *\/ */
   free_matrix(y,1,npar,1,npar);  /*   while ((*in++ == *chain++) && (*in != '\0')){ */
   free_vector(x,1,npar);  /*     printf("*in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
   free_ivector(indx,1,npar);  /*   } */
   free_matrix(hess,1,npar,1,npar);  /*   in--; chain--; */
   /*   while ( (*in != '\0')){ */
   /*     printf("Bef *in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
 }  /*     *out++ = *in++; */
   /*     printf("Aft *in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
 /*************** hessian matrix ****************/  /*   } */
 double hessii( double x[], double delta, int theta, double delti[])  /*   *out='\0'; */
 {  /*   out=s; */
   int i;  /*   return out; */
   int l=1, lmax=20;  /* } */
   double k1,k2;  char *substrchaine(char *out, char *in, char *chain)
   double p2[NPARMAX+1];  {
   double res;    /* Substract chain 'chain' from 'in', return and output 'out' */
   double delt, delts, nkhi=10.,nkhif=1., khi=1.e-4;    /* in="V1+V1*age+age*age+V2", chain="age*age" */
   double fx;  
   int k=0,kmax=10;    char *strloc;
   double l1;  
     strcpy (out, in); 
   fx=func(x);    strloc = strstr(out, chain); /* strloc points to out at age*age+V2 */
   for (i=1;i<=npar;i++) p2[i]=x[i];    printf("Bef strloc=%s chain=%s out=%s \n", strloc, chain, out);
   for(l=0 ; l <=lmax; l++){    if(strloc != NULL){ 
     l1=pow(10,l);      /* will affect out */ /* strloc+strlenc(chain)=+V2 */ /* Will also work in Unicode */
     delts=delt;      memmove(strloc,strloc+strlen(chain), strlen(strloc+strlen(chain))+1);
     for(k=1 ; k <kmax; k=k+1){      /* strcpy (strloc, strloc +strlen(chain));*/
       delt = delta*(l1*k);    }
       p2[theta]=x[theta] +delt;    printf("Aft strloc=%s chain=%s in=%s out=%s \n", strloc, chain, in, out);
       k1=func(p2)-fx;    return out;
       p2[theta]=x[theta]-delt;  }
       k2=func(p2)-fx;  
       /*res= (k1-2.0*fx+k2)/delt/delt; */  
       res= (k1+k2)/delt/delt/2.; /* Divided by because L and not 2*L */  char *cutl(char *blocc, char *alocc, char *in, char occ)
        {
 #ifdef DEBUG    /* cuts string in into blocc and alocc where blocc ends before FIRST occurence of char 'occ' 
       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);       and alocc starts after first occurence of char 'occ' : ex cutv(blocc,alocc,"abcdef2ghi2j",'2')
 #endif       gives blocc="abcdef" and alocc="ghi2j".
       /*if(fabs(k1-2.0*fx+k2) <1.e-13){ */       If occ is not found blocc is null and alocc is equal to in. Returns blocc
       if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)){    */
         k=kmax;    char *s, *t;
       }    t=in;s=in;
       else if((k1 >khi/nkhif) || (k2 >khi/nkhif)){ /* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. */    while ((*in != occ) && (*in != '\0')){
         k=kmax; l=lmax*10.;      *alocc++ = *in++;
       }    }
       else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){    if( *in == occ){
         delts=delt;      *(alocc)='\0';
       }      s=++in;
     }    }
   }   
   delti[theta]=delts;    if (s == t) {/* occ not found */
   return res;      *(alocc-(in-s))='\0';
        in=s;
 }    }
     while ( *in != '\0'){
 double hessij( double x[], double delti[], int thetai,int thetaj)      *blocc++ = *in++;
 {    }
   int i;  
   int l=1, l1, lmax=20;    *blocc='\0';
   double k1,k2,k3,k4,res,fx;    return t;
   double p2[NPARMAX+1];  }
   int k;  char *cutv(char *blocc, char *alocc, char *in, char occ)
   {
   fx=func(x);    /* cuts string in into blocc and alocc where blocc ends before LAST occurence of char 'occ' 
   for (k=1; k<=2; k++) {       and alocc starts after last occurence of char 'occ' : ex cutv(blocc,alocc,"abcdef2ghi2j",'2')
     for (i=1;i<=npar;i++) p2[i]=x[i];       gives blocc="abcdef2ghi" and alocc="j".
     p2[thetai]=x[thetai]+delti[thetai]/k;       If occ is not found blocc is null and alocc is equal to in. Returns alocc
     p2[thetaj]=x[thetaj]+delti[thetaj]/k;    */
     k1=func(p2)-fx;    char *s, *t;
      t=in;s=in;
     p2[thetai]=x[thetai]+delti[thetai]/k;    while (*in != '\0'){
     p2[thetaj]=x[thetaj]-delti[thetaj]/k;      while( *in == occ){
     k2=func(p2)-fx;        *blocc++ = *in++;
          s=in;
     p2[thetai]=x[thetai]-delti[thetai]/k;      }
     p2[thetaj]=x[thetaj]+delti[thetaj]/k;      *blocc++ = *in++;
     k3=func(p2)-fx;    }
      if (s == t) /* occ not found */
     p2[thetai]=x[thetai]-delti[thetai]/k;      *(blocc-(in-s))='\0';
     p2[thetaj]=x[thetaj]-delti[thetaj]/k;    else
     k4=func(p2)-fx;      *(blocc-(in-s)-1)='\0';
     res=(k1-k2-k3+k4)/4.0/delti[thetai]*k/delti[thetaj]*k/2.; /* Because of L not 2*L */    in=s;
 #ifdef DEBUG    while ( *in != '\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);      *alocc++ = *in++;
 #endif    }
   }  
   return res;    *alocc='\0';
 }    return s;
   }
 /************** Inverse of matrix **************/  
 void ludcmp(double **a, int n, int *indx, double *d)  int nbocc(char *s, char occ)
 {  {
   int i,imax,j,k;    int i,j=0;
   double big,dum,sum,temp;    int lg=20;
   double *vv;    i=0;
      lg=strlen(s);
   vv=vector(1,n);    for(i=0; i<= lg; i++) {
   *d=1.0;    if  (s[i] == occ ) j++;
   for (i=1;i<=n;i++) {    }
     big=0.0;    return j;
     for (j=1;j<=n;j++)  }
       if ((temp=fabs(a[i][j])) > big) big=temp;  
     if (big == 0.0) nrerror("Singular matrix in routine ludcmp");  /* void cutv(char *u,char *v, char*t, char occ) */
     vv[i]=1.0/big;  /* { */
   }  /*   /\* cuts string t into u and v where u ends before last occurence of char 'occ'  */
   for (j=1;j<=n;j++) {  /*      and v starts after last occurence of char 'occ' : ex cutv(u,v,"abcdef2ghi2j",'2') */
     for (i=1;i<j;i++) {  /*      gives u="abcdef2ghi" and v="j" *\/ */
       sum=a[i][j];  /*   int i,lg,j,p=0; */
       for (k=1;k<i;k++) sum -= a[i][k]*a[k][j];  /*   i=0; */
       a[i][j]=sum;  /*   lg=strlen(t); */
     }  /*   for(j=0; j<=lg-1; j++) { */
     big=0.0;  /*     if((t[j]!= occ) && (t[j+1]== occ)) p=j+1; */
     for (i=j;i<=n;i++) {  /*   } */
       sum=a[i][j];  
       for (k=1;k<j;k++)  /*   for(j=0; j<p; j++) { */
         sum -= a[i][k]*a[k][j];  /*     (u[j] = t[j]); */
       a[i][j]=sum;  /*   } */
       if ( (dum=vv[i]*fabs(sum)) >= big) {  /*      u[p]='\0'; */
         big=dum;  
         imax=i;  /*    for(j=0; j<= lg; j++) { */
       }  /*     if (j>=(p+1))(v[j-p-1] = t[j]); */
     }  /*   } */
     if (j != imax) {  /* } */
       for (k=1;k<=n;k++) {  
         dum=a[imax][k];  #ifdef _WIN32
         a[imax][k]=a[j][k];  char * strsep(char **pp, const char *delim)
         a[j][k]=dum;  {
       }    char *p, *q;
       *d = -(*d);           
       vv[imax]=vv[j];    if ((p = *pp) == NULL)
     }      return 0;
     indx[j]=imax;    if ((q = strpbrk (p, delim)) != NULL)
     if (a[j][j] == 0.0) a[j][j]=TINY;    {
     if (j != n) {      *pp = q + 1;
       dum=1.0/(a[j][j]);      *q = '\0';
       for (i=j+1;i<=n;i++) a[i][j] *= dum;    }
     }    else
   }      *pp = 0;
   free_vector(vv,1,n);  /* Doesn't work */    return p;
 ;  }
 }  #endif
   
 void lubksb(double **a, int n, int *indx, double b[])  /********************** nrerror ********************/
 {  
   int i,ii=0,ip,j;  void nrerror(char error_text[])
   double sum;  {
      fprintf(stderr,"ERREUR ...\n");
   for (i=1;i<=n;i++) {    fprintf(stderr,"%s\n",error_text);
     ip=indx[i];    exit(EXIT_FAILURE);
     sum=b[ip];  }
     b[ip]=b[i];  /*********************** vector *******************/
     if (ii)  double *vector(int nl, int nh)
       for (j=ii;j<=i-1;j++) sum -= a[i][j]*b[j];  {
     else if (sum) ii=i;    double *v;
     b[i]=sum;    v=(double *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(double)));
   }    if (!v) nrerror("allocation failure in vector");
   for (i=n;i>=1;i--) {    return v-nl+NR_END;
     sum=b[i];  }
     for (j=i+1;j<=n;j++) sum -= a[i][j]*b[j];  
     b[i]=sum/a[i][i];  /************************ free vector ******************/
   }  void free_vector(double*v, int nl, int nh)
 }  {
     free((FREE_ARG)(v+nl-NR_END));
 /************ 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)  
 {  /* Some frequencies */  /************************ivector *******************************/
    int *ivector(long nl,long nh)
   int i, m, jk, k1,i1, j1, bool, z1,z2,j;  {
   double ***freq; /* Frequencies */    int *v;
   double *pp;    v=(int *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(int)));
   double pos, k2, dateintsum=0,k2cpt=0;    if (!v) nrerror("allocation failure in ivector");
   FILE *ficresp;    return v-nl+NR_END;
   char fileresp[FILENAMELENGTH];  }
   
   pp=vector(1,nlstate);  /******************free ivector **************************/
   probs= ma3x(1,AGESUP,1,NCOVMAX, 1,NCOVMAX);  void free_ivector(int *v, long nl, long nh)
   strcpy(fileresp,"p");  {
   strcat(fileresp,fileres);    free((FREE_ARG)(v+nl-NR_END));
   if((ficresp=fopen(fileresp,"w"))==NULL) {  }
     printf("Problem with prevalence resultfile: %s\n", fileresp);  
     exit(0);  /************************lvector *******************************/
   }  long *lvector(long nl,long nh)
   freq= ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,agemin,agemax+3);  {
   j1=0;    long *v;
     v=(long *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(long)));
   j=cptcoveff;    if (!v) nrerror("allocation failure in ivector");
   if (cptcovn<1) {j=1;ncodemax[1]=1;}    return v-nl+NR_END;
   }
   for(k1=1; k1<=j;k1++){  
    for(i1=1; i1<=ncodemax[k1];i1++){  /******************free lvector **************************/
        j1++;  void free_lvector(long *v, long nl, long nh)
        /*printf("cptcoveff=%d Tvaraff=%d", cptcoveff,Tvaraff[1]);  {
          scanf("%d", i);*/    free((FREE_ARG)(v+nl-NR_END));
         for (i=-1; i<=nlstate+ndeath; i++)    }
          for (jk=-1; jk<=nlstate+ndeath; jk++)    
            for(m=agemin; m <= agemax+3; m++)  /******************* imatrix *******************************/
              freq[i][jk][m]=0;  int **imatrix(long nrl, long nrh, long ncl, long nch) 
        /* allocate a int matrix with subscript range m[nrl..nrh][ncl..nch] */ 
         dateintsum=0;  { 
         k2cpt=0;    long i, nrow=nrh-nrl+1,ncol=nch-ncl+1; 
        for (i=1; i<=imx; i++) {    int **m; 
          bool=1;    
          if  (cptcovn>0) {    /* allocate pointers to rows */ 
            for (z1=1; z1<=cptcoveff; z1++)    m=(int **) malloc((size_t)((nrow+NR_END)*sizeof(int*))); 
              if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtab[j1][z1]])    if (!m) nrerror("allocation failure 1 in matrix()"); 
                bool=0;    m += NR_END; 
          }    m -= nrl; 
          if (bool==1) {    
            for(m=firstpass; m<=lastpass; m++){    
              k2=anint[m][i]+(mint[m][i]/12.);    /* allocate rows and set pointers to them */ 
              if ((k2>=dateprev1) && (k2<=dateprev2)) {    m[nrl]=(int *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(int))); 
                if(agev[m][i]==0) agev[m][i]=agemax+1;    if (!m[nrl]) nrerror("allocation failure 2 in matrix()"); 
                if(agev[m][i]==1) agev[m][i]=agemax+2;    m[nrl] += NR_END; 
                freq[s[m][i]][s[m+1][i]][(int)agev[m][i]] += weight[i];    m[nrl] -= ncl; 
                freq[s[m][i]][s[m+1][i]][(int) agemax+3] += weight[i];    
                if ((agev[m][i]>1) && (agev[m][i]< (agemax+3))) {    for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol; 
                  dateintsum=dateintsum+k2;    
                  k2cpt++;    /* return pointer to array of pointers to rows */ 
                }    return m; 
   } 
              }  
            }  /****************** free_imatrix *************************/
          }  void free_imatrix(m,nrl,nrh,ncl,nch)
        }        int **m;
         if  (cptcovn>0) {        long nch,ncl,nrh,nrl; 
          fprintf(ficresp, "\n#********** Variable ");       /* free an int matrix allocated by imatrix() */ 
          for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresp, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);  { 
        fprintf(ficresp, "**********\n#");    free((FREE_ARG) (m[nrl]+ncl-NR_END)); 
         }    free((FREE_ARG) (m+nrl-NR_END)); 
        for(i=1; i<=nlstate;i++)  } 
          fprintf(ficresp, " Age Prev(%d) N(%d) N",i,i);  
        fprintf(ficresp, "\n");  /******************* matrix *******************************/
          double **matrix(long nrl, long nrh, long ncl, long nch)
   for(i=(int)agemin; i <= (int)agemax+3; i++){  {
     if(i==(int)agemax+3)    long i, nrow=nrh-nrl+1, ncol=nch-ncl+1;
       printf("Total");    double **m;
     else  
       printf("Age %d", i);    m=(double **) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
     for(jk=1; jk <=nlstate ; jk++){    if (!m) nrerror("allocation failure 1 in matrix()");
       for(m=-1, pp[jk]=0; m <=nlstate+ndeath ; m++)    m += NR_END;
         pp[jk] += freq[jk][m][i];    m -= nrl;
     }  
     for(jk=1; jk <=nlstate ; jk++){    m[nrl]=(double *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
       for(m=-1, pos=0; m <=0 ; m++)    if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
         pos += freq[jk][m][i];    m[nrl] += NR_END;
       if(pp[jk]>=1.e-10)    m[nrl] -= ncl;
         printf(" %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);  
       else    for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
         printf(" %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);    return m;
     }    /* print *(*(m+1)+70) or print m[1][70]; print m+1 or print &(m[1]) or &(m[1][0])
   m[i] = address of ith row of the table. &(m[i]) is its value which is another adress
      for(jk=1; jk <=nlstate ; jk++){  that of m[i][0]. In order to get the value p m[i][0] but it is unitialized.
       for(m=0, pp[jk]=0; m <=nlstate+ndeath; m++)     */
         pp[jk] += freq[jk][m][i];  }
      }  
   /*************************free matrix ************************/
     for(jk=1,pos=0; jk <=nlstate ; jk++)  void free_matrix(double **m, long nrl, long nrh, long ncl, long nch)
       pos += pp[jk];  {
     for(jk=1; jk <=nlstate ; jk++){    free((FREE_ARG)(m[nrl]+ncl-NR_END));
       if(pos>=1.e-5)    free((FREE_ARG)(m+nrl-NR_END));
         printf(" %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);  }
       else  
         printf(" %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);  /******************* ma3x *******************************/
       if( i <= (int) agemax){  double ***ma3x(long nrl, long nrh, long ncl, long nch, long nll, long nlh)
         if(pos>=1.e-5){  {
           fprintf(ficresp," %d %.5f %.0f %.0f",i,pp[jk]/pos, pp[jk],pos);    long i, j, nrow=nrh-nrl+1, ncol=nch-ncl+1, nlay=nlh-nll+1;
           probs[i][jk][j1]= pp[jk]/pos;    double ***m;
           /*printf("\ni=%d jk=%d j1=%d %.5f %.0f %.0f %f",i,jk,j1,pp[jk]/pos, pp[jk],pos,probs[i][jk][j1]);*/  
         }    m=(double ***) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
       else    if (!m) nrerror("allocation failure 1 in matrix()");
           fprintf(ficresp," %d NaNq %.0f %.0f",i,pp[jk],pos);    m += NR_END;
       }    m -= nrl;
     }  
     for(jk=-1; jk <=nlstate+ndeath; jk++)    m[nrl]=(double **) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
       for(m=-1; m <=nlstate+ndeath; m++)    if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
         if(freq[jk][m][i] !=0 ) printf(" %d%d=%.0f",jk,m,freq[jk][m][i]);    m[nrl] += NR_END;
     if(i <= (int) agemax)    m[nrl] -= ncl;
       fprintf(ficresp,"\n");  
     printf("\n");    for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
     }  
     }    m[nrl][ncl]=(double *) malloc((size_t)((nrow*ncol*nlay+NR_END)*sizeof(double)));
  }    if (!m[nrl][ncl]) nrerror("allocation failure 3 in matrix()");
   dateintmean=dateintsum/k2cpt;    m[nrl][ncl] += NR_END;
      m[nrl][ncl] -= nll;
   fclose(ficresp);    for (j=ncl+1; j<=nch; j++) 
   free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath,(int) agemin,(int) agemax+3);      m[nrl][j]=m[nrl][j-1]+nlay;
   free_vector(pp,1,nlstate);    
     for (i=nrl+1; i<=nrh; i++) {
   /* End of Freq */      m[i][ncl]=m[i-1l][ncl]+ncol*nlay;
 }      for (j=ncl+1; j<=nch; j++) 
         m[i][j]=m[i][j-1]+nlay;
 /************ Prevalence ********************/    }
 void prevalence(int agemin, int agemax, int **s, double **agev, int nlstate, int imx, int *Tvar, int **nbcode, int *ncodemax,double **mint,double **anint, double dateprev1,double dateprev2, double calagedate)    return m; 
 {  /* Some frequencies */    /*  gdb: p *(m+1) <=> p m[1] and p (m+1) <=> p (m+1) <=> p &(m[1])
               &(m[i][j][k]) <=> *((*(m+i) + j)+k)
   int i, m, jk, k1, i1, j1, bool, z1,z2,j;    */
   double ***freq; /* Frequencies */  }
   double *pp;  
   double pos, k2;  /*************************free ma3x ************************/
   void free_ma3x(double ***m, long nrl, long nrh, long ncl, long nch,long nll, long nlh)
   pp=vector(1,nlstate);  {
   probs= ma3x(1,AGESUP,1,NCOVMAX, 1,NCOVMAX);    free((FREE_ARG)(m[nrl][ncl]+ nll-NR_END));
      free((FREE_ARG)(m[nrl]+ncl-NR_END));
   freq=ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,agemin,agemax+3);    free((FREE_ARG)(m+nrl-NR_END));
   j1=0;  }
    
   j=cptcoveff;  /*************** function subdirf ***********/
   if (cptcovn<1) {j=1;ncodemax[1]=1;}  char *subdirf(char fileres[])
    {
  for(k1=1; k1<=j;k1++){    /* Caution optionfilefiname is hidden */
     for(i1=1; i1<=ncodemax[k1];i1++){    strcpy(tmpout,optionfilefiname);
       j1++;    strcat(tmpout,"/"); /* Add to the right */
      strcat(tmpout,fileres);
       for (i=-1; i<=nlstate+ndeath; i++)      return tmpout;
         for (jk=-1; jk<=nlstate+ndeath; jk++)    }
           for(m=agemin; m <= agemax+3; m++)  
             freq[i][jk][m]=0;  /*************** function subdirf2 ***********/
        char *subdirf2(char fileres[], char *preop)
       for (i=1; i<=imx; i++) {  {
         bool=1;    
         if  (cptcovn>0) {    /* Caution optionfilefiname is hidden */
           for (z1=1; z1<=cptcoveff; z1++)    strcpy(tmpout,optionfilefiname);
             if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtab[j1][z1]])    strcat(tmpout,"/");
               bool=0;    strcat(tmpout,preop);
         }    strcat(tmpout,fileres);
         if (bool==1) {    return tmpout;
           for(m=firstpass; m<=lastpass; m++){  }
             k2=anint[m][i]+(mint[m][i]/12.);  
             if ((k2>=dateprev1) && (k2<=dateprev2)) {  /*************** function subdirf3 ***********/
               if(agev[m][i]==0) agev[m][i]=agemax+1;  char *subdirf3(char fileres[], char *preop, char *preop2)
               if(agev[m][i]==1) agev[m][i]=agemax+2;  {
               freq[s[m][i]][s[m+1][i]][(int)(agev[m][i]+1-((int)calagedate %12)/12.)] += weight[i];    
               freq[s[m][i]][s[m+1][i]][(int)(agemax+3+1)] += weight[i];      /* Caution optionfilefiname is hidden */
             }    strcpy(tmpout,optionfilefiname);
           }    strcat(tmpout,"/");
         }    strcat(tmpout,preop);
       }    strcat(tmpout,preop2);
          strcat(tmpout,fileres);
         for(i=(int)agemin; i <= (int)agemax+3; i++){    return tmpout;
           for(jk=1; jk <=nlstate ; jk++){  }
             for(m=-1, pp[jk]=0; m <=nlstate+ndeath ; m++)  
               pp[jk] += freq[jk][m][i];  char *asc_diff_time(long time_sec, char ascdiff[])
           }  {
           for(jk=1; jk <=nlstate ; jk++){    long sec_left, days, hours, minutes;
             for(m=-1, pos=0; m <=0 ; m++)    days = (time_sec) / (60*60*24);
             pos += freq[jk][m][i];    sec_left = (time_sec) % (60*60*24);
         }    hours = (sec_left) / (60*60) ;
            sec_left = (sec_left) %(60*60);
          for(jk=1; jk <=nlstate ; jk++){    minutes = (sec_left) /60;
            for(m=0, pp[jk]=0; m <=nlstate+ndeath; m++)    sec_left = (sec_left) % (60);
              pp[jk] += freq[jk][m][i];    sprintf(ascdiff,"%ld day(s) %ld hour(s) %ld minute(s) %ld second(s)",days, hours, minutes, sec_left);  
          }    return ascdiff;
            }
          for(jk=1,pos=0; jk <=nlstate ; jk++) pos += pp[jk];  
   /***************** f1dim *************************/
          for(jk=1; jk <=nlstate ; jk++){            extern int ncom; 
            if( i <= (int) agemax){  extern double *pcom,*xicom;
              if(pos>=1.e-5){  extern double (*nrfunc)(double []); 
                probs[i][jk][j1]= pp[jk]/pos;   
              }  double f1dim(double x) 
            }  { 
          }    int j; 
              double f;
         }    double *xt; 
     }   
   }    xt=vector(1,ncom); 
      for (j=1;j<=ncom;j++) xt[j]=pcom[j]+x*xicom[j]; 
      f=(*nrfunc)(xt); 
   free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath,(int) agemin,(int) agemax+3);    free_vector(xt,1,ncom); 
   free_vector(pp,1,nlstate);    return f; 
    } 
 }  /* End of Freq */  
   /*****************brent *************************/
 /************* Waves Concatenation ***************/  double brent(double ax, double bx, double cx, double (*f)(double), double tol,  double *xmin) 
   {
 void  concatwav(int wav[], int **dh, int **mw, int **s, double *agedc, double **agev, int  firstpass, int lastpass, int imx, int nlstate, int stepm)    /* Given a function f, and given a bracketing triplet of abscissas ax, bx, cx (such that bx is
 {     * between ax and cx, and f(bx) is less than both f(ax) and f(cx) ), this routine isolates
   /* Concatenates waves: wav[i] is the number of effective (useful waves) of individual i.     * the minimum to a fractional precision of about tol using Brent’s method. The abscissa of
      Death is a valid wave (if date is known).     * the minimum is returned as xmin, and the minimum function value is returned as brent , the
      mw[mi][i] is the mi (mi=1 to wav[i])  effective wave of individual i     * returned function value. 
      dh[m][i] of dh[mw[mi][i][i] is the delay between two effective waves m=mw[mi][i]    */
      and mw[mi+1][i]. dh depends on stepm.    int iter; 
      */    double a,b,d,etemp;
     double fu=0,fv,fw,fx;
   int i, mi, m;    double ftemp=0.;
   /* int j, k=0,jk, ju, jl,jmin=1e+5, jmax=-1;    double p,q,r,tol1,tol2,u,v,w,x,xm; 
      double sum=0., jmean=0.;*/    double e=0.0; 
    
   int j, k=0,jk, ju, jl;    a=(ax < cx ? ax : cx); 
   double sum=0.;    b=(ax > cx ? ax : cx); 
   jmin=1e+5;    x=w=v=bx; 
   jmax=-1;    fw=fv=fx=(*f)(x); 
   jmean=0.;    for (iter=1;iter<=ITMAX;iter++) { 
   for(i=1; i<=imx; i++){      xm=0.5*(a+b); 
     mi=0;      tol2=2.0*(tol1=tol*fabs(x)+ZEPS); 
     m=firstpass;      /*          if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret)))*/
     while(s[m][i] <= nlstate){      printf(".");fflush(stdout);
       if(s[m][i]>=1)      fprintf(ficlog,".");fflush(ficlog);
         mw[++mi][i]=m;  #ifdef DEBUGBRENT
       if(m >=lastpass)      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);
         break;      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);
       else      /*          if ((fabs(x-xm) <= (tol2-0.5*(b-a)))||(2.0*fabs(fu-ftemp) <= ftol*1.e-2*(fabs(fu)+fabs(ftemp)))) { */
         m++;  #endif
     }/* end while */      if (fabs(x-xm) <= (tol2-0.5*(b-a))){ 
     if (s[m][i] > nlstate){        *xmin=x; 
       mi++;     /* Death is another wave */        return fx; 
       /* if(mi==0)  never been interviewed correctly before death */      } 
          /* Only death is a correct wave */      ftemp=fu;
       mw[mi][i]=m;      if (fabs(e) > tol1) { 
     }        r=(x-w)*(fx-fv); 
         q=(x-v)*(fx-fw); 
     wav[i]=mi;        p=(x-v)*q-(x-w)*r; 
     if(mi==0)        q=2.0*(q-r); 
       printf("Warning, no any valid information for:%d line=%d\n",num[i],i);        if (q > 0.0) p = -p; 
   }        q=fabs(q); 
         etemp=e; 
   for(i=1; i<=imx; i++){        e=d; 
     for(mi=1; mi<wav[i];mi++){        if (fabs(p) >= fabs(0.5*q*etemp) || p <= q*(a-x) || p >= q*(b-x)) 
       if (stepm <=0)          d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
         dh[mi][i]=1;        else { 
       else{          d=p/q; 
         if (s[mw[mi+1][i]][i] > nlstate) {          u=x+d; 
           if (agedc[i] < 2*AGESUP) {          if (u-a < tol2 || b-u < tol2) 
           j= rint(agedc[i]*12-agev[mw[mi][i]][i]*12);            d=SIGN(tol1,xm-x); 
           if(j==0) j=1;  /* Survives at least one month after exam */        } 
           k=k+1;      } else { 
           if (j >= jmax) jmax=j;        d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
           if (j <= jmin) jmin=j;      } 
           sum=sum+j;      u=(fabs(d) >= tol1 ? x+d : x+SIGN(tol1,d)); 
           /* if (j<10) printf("j=%d num=%d ",j,i); */      fu=(*f)(u); 
           }      if (fu <= fx) { 
         }        if (u >= x) a=x; else b=x; 
         else{        SHFT(v,w,x,u) 
           j= rint( (agev[mw[mi+1][i]][i]*12 - agev[mw[mi][i]][i]*12));        SHFT(fv,fw,fx,fu) 
           k=k+1;      } else { 
           if (j >= jmax) jmax=j;        if (u < x) a=u; else b=u; 
           else if (j <= jmin)jmin=j;        if (fu <= fw || w == x) { 
           /*   if (j<10) printf("j=%d jmin=%d num=%d ",j,jmin,i); */          v=w; 
           sum=sum+j;          w=u; 
         }          fv=fw; 
         jk= j/stepm;          fw=fu; 
         jl= j -jk*stepm;        } else if (fu <= fv || v == x || v == w) { 
         ju= j -(jk+1)*stepm;          v=u; 
         if(jl <= -ju)          fv=fu; 
           dh[mi][i]=jk;        } 
         else      } 
           dh[mi][i]=jk+1;    } 
         if(dh[mi][i]==0)    nrerror("Too many iterations in brent"); 
           dh[mi][i]=1; /* At least one step */    *xmin=x; 
       }    return fx; 
     }  } 
   }  
   jmean=sum/k;  /****************** mnbrak ***********************/
   printf("Delay (in months) between two waves Min=%d Max=%d Mean=%f\n\n ",jmin, jmax,jmean);  
  }  void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, double *fc, 
 /*********** Tricode ****************************/              double (*func)(double)) 
 void tricode(int *Tvar, int **nbcode, int imx)  { /* Given a function func , and given distinct initial points ax and bx , this routine searches in
 {  the downhill direction (defined by the function as evaluated at the initial points) and returns
   int Ndum[20],ij=1, k, j, i;  new points ax , bx , cx that bracket a minimum of the function. Also returned are the function
   int cptcode=0;  values at the three points, fa, fb , and fc such that fa > fb and fb < fc.
   cptcoveff=0;     */
      double ulim,u,r,q, dum;
   for (k=0; k<19; k++) Ndum[k]=0;    double fu; 
   for (k=1; k<=7; k++) ncodemax[k]=0;  
     double scale=10.;
   for (j=1; j<=(cptcovn+2*cptcovprod); j++) {    int iterscale=0;
     for (i=1; i<=imx; i++) {  
       ij=(int)(covar[Tvar[j]][i]);    *fa=(*func)(*ax); /*  xta[j]=pcom[j]+(*ax)*xicom[j]; fa=f(xta[j])*/
       Ndum[ij]++;    *fb=(*func)(*bx); /*  xtb[j]=pcom[j]+(*bx)*xicom[j]; fb=f(xtb[j]) */
       /*printf("i=%d ij=%d Ndum[ij]=%d imx=%d",i,ij,Ndum[ij],imx);*/  
       if (ij > cptcode) cptcode=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++); */
     for (i=0; i<=cptcode; i++) {    /*   *bx = *ax - (*ax - *bx)/scale; */
       if(Ndum[i]!=0) ncodemax[j]++;    /*   *fb=(*func)(*bx);  /\*  xtb[j]=pcom[j]+(*bx)*xicom[j]; fb=f(xtb[j]) *\/ */
     }    /* } */
     ij=1;  
     if (*fb > *fa) { 
       SHFT(dum,*ax,*bx,dum) 
     for (i=1; i<=ncodemax[j]; i++) {      SHFT(dum,*fb,*fa,dum) 
       for (k=0; k<=19; k++) {    } 
         if (Ndum[k] != 0) {    *cx=(*bx)+GOLD*(*bx-*ax); 
           nbcode[Tvar[j]][ij]=k;    *fc=(*func)(*cx); 
           ij++;  #ifdef DEBUG
         }    printf("mnbrak0 *fb=%.12e *fc=%.12e\n",*fb,*fc);
         if (ij > ncodemax[j]) break;    fprintf(ficlog,"mnbrak0 *fb=%.12e *fc=%.12e\n",*fb,*fc);
       }    #endif
     }    while (*fb > *fc) { /* Declining a,b,c with fa> fb > fc */
   }        r=(*bx-*ax)*(*fb-*fc); 
       q=(*bx-*cx)*(*fb-*fa); 
  for (k=0; k<19; k++) Ndum[k]=0;      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). */
  for (i=1; i<=ncovmodel-2; i++) {      ulim=(*bx)+GLIMIT*(*cx-*bx); /* Maximum abscissa where function should be evaluated */
       ij=Tvar[i];      if ((*bx-u)*(u-*cx) > 0.0) { /* if u_p is between b and c */
       Ndum[ij]++;        fu=(*func)(u); 
     }  #ifdef DEBUG
         /* f(x)=A(x-u)**2+f(u) */
  ij=1;        double A, fparabu; 
  for (i=1; i<=10; i++) {        A= (*fb - *fa)/(*bx-*ax)/(*bx+*ax-2*u);
    if((Ndum[i]!=0) && (i<=ncov)){        fparabu= *fa - A*(*ax-u)*(*ax-u);
      Tvaraff[ij]=i;        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);
      ij++;        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);
    }        /* And thus,it can be that fu > *fc even if fparabu < *fc */
  }        /* mnbrak (*ax=7.666299858533, *fa=299039.693133272231), (*bx=8.595447774979, *fb=298976.598289369489),
            (*cx=10.098840694817, *fc=298946.631474258087),  (*u=9.852501168332, fu=298948.773013752128, fparabu=298945.434711494134) */
     cptcoveff=ij-1;        /* In that case, there is no bracket in the output! Routine is wrong with many consequences.*/
 }  #endif 
   #ifdef MNBRAKORIGINAL
 /*********** Health Expectancies ****************/  #else
   /*       if (fu > *fc) { */
 void evsij(char fileres[], double ***eij, double x[], int nlstate, int stepm, int bage, int fage, double **oldm, double **savm, int ij)  /* #ifdef DEBUG */
 {  /*       printf("mnbrak4  fu > fc \n"); */
   /* Health expectancies */  /*       fprintf(ficlog, "mnbrak4 fu > fc\n"); */
   int i, j, nhstepm, hstepm, h;  /* #endif */
   double age, agelim,hf;  /*      /\* 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 *\\/  *\/ */
   double ***p3mat;  /*      /\* SHFT(*fa,*fc,fu,*fc) /\\* (b, u, c) is a bracket while test fb > fc will be fu > fc  will exit *\\/ *\/ */
    /*      dum=u; /\* Shifting c and u *\/ */
   fprintf(ficreseij,"# Health expectancies\n");  /*      u = *cx; */
   fprintf(ficreseij,"# Age");  /*      *cx = dum; */
   for(i=1; i<=nlstate;i++)  /*      dum = fu; */
     for(j=1; j<=nlstate;j++)  /*      fu = *fc; */
       fprintf(ficreseij," %1d-%1d",i,j);  /*      *fc =dum; */
   fprintf(ficreseij,"\n");  /*       } else { /\* end *\/ */
   /* #ifdef DEBUG */
   hstepm=1*YEARM; /*  Every j years of age (in month) */  /*       printf("mnbrak3  fu < fc \n"); */
   hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */  /*       fprintf(ficlog, "mnbrak3 fu < fc\n"); */
   /* #endif */
   agelim=AGESUP;  /*      dum=u; /\* Shifting c and u *\/ */
   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */  /*      u = *cx; */
     /* nhstepm age range expressed in number of stepm */  /*      *cx = dum; */
     nhstepm=(int) rint((agelim-age)*YEARM/stepm);  /*      dum = fu; */
     /* Typically if 20 years = 20*12/6=40 stepm */  /*      fu = *fc; */
     if (stepm >= YEARM) hstepm=1;  /*      *fc =dum; */
     nhstepm = nhstepm/hstepm;/* Expressed in hstepm, typically 40/4=10 */  /*       } */
     p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);  #ifdef DEBUG
     /* Computed by stepm unit matrices, product of hstepm matrices, stored        printf("mnbrak34  fu < or >= fc \n");
        in an array of nhstepm length: nhstepm=10, hstepm=4, stepm=6 months */        fprintf(ficlog, "mnbrak34 fu < fc\n");
     hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm, savm, ij);    #endif
         dum=u; /* Shifting c and u */
         u = *cx;
     for(i=1; i<=nlstate;i++)        *cx = dum;
       for(j=1; j<=nlstate;j++)        dum = fu;
         for (h=0, eij[i][j][(int)age]=0; h<=nhstepm; h++){        fu = *fc;
           eij[i][j][(int)age] +=p3mat[i][j][h];        *fc =dum;
         }  #endif
          } else if ((*cx-u)*(u-ulim) > 0.0) { /* u is after c but before ulim */
     hf=1;  #ifdef DEBUG
     if (stepm >= YEARM) hf=stepm/YEARM;        printf("mnbrak2  u after c but before ulim\n");
     fprintf(ficreseij,"%.0f",age );        fprintf(ficlog, "mnbrak2 u after c but before ulim\n");
     for(i=1; i<=nlstate;i++)  #endif
       for(j=1; j<=nlstate;j++){        fu=(*func)(u); 
         fprintf(ficreseij," %.4f", hf*eij[i][j][(int)age]);        if (fu < *fc) { 
       }  #ifdef DEBUG
     fprintf(ficreseij,"\n");        printf("mnbrak2  u after c but before ulim AND fu < fc\n");
     free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);        fprintf(ficlog, "mnbrak2 u after c but before ulim AND fu <fc \n");
   }  #endif
 }          SHFT(*bx,*cx,u,*cx+GOLD*(*cx-*bx)) 
           SHFT(*fb,*fc,fu,(*func)(u)) 
 /************ Variance ******************/        } 
 void varevsij(char fileres[], double ***vareij, double **matcov, double x[], double delti[], int nlstate, int stepm, double bage, double fage, double **oldm, double **savm, double **prlim, double ftolpl, int ij)      } else if ((u-ulim)*(ulim-*cx) >= 0.0) { /* u outside ulim (verifying that ulim is beyond c) */
 {  #ifdef DEBUG
   /* Variance of health expectancies */        printf("mnbrak2  u outside ulim (verifying that ulim is beyond c)\n");
   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);*/        fprintf(ficlog, "mnbrak2 u outside ulim (verifying that ulim is beyond c)\n");
   double **newm;  #endif
   double **dnewm,**doldm;        u=ulim; 
   int i, j, nhstepm, hstepm, h;        fu=(*func)(u); 
   int k, cptcode;      } else { /* u could be left to b (if r > q parabola has a maximum) */
   double *xp;  #ifdef DEBUG
   double **gp, **gm;        printf("mnbrak2  u could be left to b (if r > q parabola has a maximum)\n");
   double ***gradg, ***trgradg;        fprintf(ficlog, "mnbrak2  u could be left to b (if r > q parabola has a maximum)\n");
   double ***p3mat;  #endif
   double age,agelim;        u=(*cx)+GOLD*(*cx-*bx); 
   int theta;        fu=(*func)(u); 
       } /* end tests */
    fprintf(ficresvij,"# Covariances of life expectancies\n");      SHFT(*ax,*bx,*cx,u) 
   fprintf(ficresvij,"# Age");      SHFT(*fa,*fb,*fc,fu) 
   for(i=1; i<=nlstate;i++)  #ifdef DEBUG
     for(j=1; j<=nlstate;j++)        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(ficresvij," Cov(e%1d, e%1d)",i,j);        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);
   fprintf(ficresvij,"\n");  #endif
     } /* end while; ie return (a, b, c, fa, fb, fc) such that a < b < c with f(a) > f(b) and fb < f(c) */
   xp=vector(1,npar);  } 
   dnewm=matrix(1,nlstate,1,npar);  
   doldm=matrix(1,nlstate,1,nlstate);  /*************** linmin ************************/
    /* Given an n -dimensional point p[1..n] and an n -dimensional direction xi[1..n] , moves and
   hstepm=1*YEARM; /* Every year of age */  resets p to where the function func(p) takes on a minimum along the direction xi from p ,
   hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */  and replaces xi by the actual vector displacement that p was moved. Also returns as fret
   agelim = AGESUP;  the value of func at the returned location p . This is actually all accomplished by calling the
   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */  routines mnbrak and brent .*/
     nhstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */  int ncom; 
     if (stepm >= YEARM) hstepm=1;  double *pcom,*xicom;
     nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */  double (*nrfunc)(double []); 
     p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);   
     gradg=ma3x(0,nhstepm,1,npar,1,nlstate);  void linmin(double p[], double xi[], int n, double *fret,double (*func)(double [])) 
     gp=matrix(0,nhstepm,1,nlstate);  { 
     gm=matrix(0,nhstepm,1,nlstate);    double brent(double ax, double bx, double cx, 
                  double (*f)(double), double tol, double *xmin); 
     for(theta=1; theta <=npar; theta++){    double f1dim(double x); 
       for(i=1; i<=npar; i++){ /* Computes gradient */    void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, 
         xp[i] = x[i] + (i==theta ?delti[theta]:0);                double *fc, double (*func)(double)); 
       }    int j; 
       hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);      double xx,xmin,bx,ax; 
       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);    double fx,fb,fa;
   
       if (popbased==1) {    double scale=10., axs, xxs, xxss; /* Scale added for infinity */
         for(i=1; i<=nlstate;i++)   
           prlim[i][i]=probs[(int)age][i][ij];    ncom=n; 
       }    pcom=vector(1,n); 
          xicom=vector(1,n); 
       for(j=1; j<= nlstate; j++){    nrfunc=func; 
         for(h=0; h<=nhstepm; h++){    for (j=1;j<=n;j++) { 
           for(i=1, gp[h][j]=0.;i<=nlstate;i++)      pcom[j]=p[j]; 
             gp[h][j] += prlim[i][i]*p3mat[i][j][h];      xicom[j]=xi[j]; 
         }    } 
       }  
        /* axs=0.0; */
       for(i=1; i<=npar; i++) /* Computes gradient */    /* xxss=1; /\* 1 and using scale *\/ */
         xp[i] = x[i] - (i==theta ?delti[theta]:0);    xxs=1;
       hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);      /* do{ */
       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);      ax=0.;
       xx= xxs;
       if (popbased==1) {      mnbrak(&ax,&xx,&bx,&fa,&fx,&fb,f1dim);  /* Outputs: xtx[j]=pcom[j]+(*xx)*xicom[j]; fx=f(xtx[j]) */
         for(i=1; i<=nlstate;i++)      /* brackets with inputs ax=0 and xx=1, but points, pcom=p, and directions values, xicom=xi, are sent via f1dim(x) */
           prlim[i][i]=probs[(int)age][i][ij];      /* 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))   */
       }      /* Outputs: fa=f(p(j)) and fx=f(p(j) + xxs * xi(j) ) and f(bx)= f(p(j)+ bx* xi(j)) */
       /* Given input ax=axs and xx=xxs, xx might be too far from ax to get a finite f(xx) */
       for(j=1; j<= nlstate; j++){      /* Searches on line, outputs (ax, xx, bx) such that fx < min(fa and fb) */
         for(h=0; h<=nhstepm; h++){      /* 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]]*/
           for(i=1, gm[h][j]=0.;i<=nlstate;i++)    /*   if (fx != fx){ */
             gm[h][j] += prlim[i][i]*p3mat[i][j][h];    /*    xxs=xxs/scale; /\* Trying a smaller xx, closer to initial ax=0 *\/ */
         }    /*    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); */
       }    /*   } */
     /* }while(fx != fx); */
       for(j=1; j<= nlstate; j++)  
         for(h=0; h<=nhstepm; h++){  #ifdef DEBUGLINMIN
           gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta];    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);
         }  #endif
     } /* End theta */    *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]) */
     trgradg =ma3x(0,nhstepm,1,nlstate,1,npar);    /* fmin = f(p[j] + xmin * xi[j]) */
     /* P+lambda n in that direction (lambdamin), with TOL between abscisses */
     for(h=0; h<=nhstepm; h++)    /* f1dim(xmin): for (j=1;j<=ncom;j++) xt[j]=pcom[j]+xmin*xicom[j]; */
       for(j=1; j<=nlstate;j++)  #ifdef DEBUG
         for(theta=1; theta <=npar; theta++)    printf("retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);
           trgradg[h][j][theta]=gradg[h][theta][j];    fprintf(ficlog,"retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);
   #endif
     for(i=1;i<=nlstate;i++)  #ifdef DEBUGLINMIN
       for(j=1;j<=nlstate;j++)    printf("linmin end ");
         vareij[i][j][(int)age] =0.;  #endif
     for(h=0;h<=nhstepm;h++){    for (j=1;j<=n;j++) { 
       for(k=0;k<=nhstepm;k++){      /* printf(" before xi[%d]=%12.8f", j,xi[j]); */
         matprod2(dnewm,trgradg[h],1,nlstate,1,npar,1,npar,matcov);      xi[j] *= xmin; /* xi rescaled by xmin: if xmin=-1.237 and xi=(1,0,...,0) xi=(-1.237,0,...,0) */
         matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg[k]);      /* if(xxs <1.0) */
         for(i=1;i<=nlstate;i++)      /*   printf(" after xi[%d]=%12.8f, xmin=%12.8f, ax=%12.8f, xx=%12.8f, bx=%12.8f, xxs=%12.8f", j,xi[j], xmin, ax, xx, bx,xxs ); */
           for(j=1;j<=nlstate;j++)      p[j] += xi[j]; /* Parameters values are updated accordingly */
             vareij[i][j][(int)age] += doldm[i][j];    } 
       }    /* printf("\n"); */
     }  #ifdef DEBUGLINMIN
     h=1;    printf("Comparing last *frec(xmin=%12.8f)=%12.8f from Brent and frec(0.)=%12.8f \n", xmin, *fret, (*func)(p));
     if (stepm >= YEARM) h=stepm/YEARM;    for (j=1;j<=n;j++) { 
     fprintf(ficresvij,"%.0f ",age );      printf(" xi[%d]= %12.7f p[%d]= %12.7f",j,xi[j],j,p[j]);
     for(i=1; i<=nlstate;i++)      if(j % ncovmodel == 0)
       for(j=1; j<=nlstate;j++){        printf("\n");
         fprintf(ficresvij," %.4f", h*vareij[i][j][(int)age]);    }
       }  #endif
     fprintf(ficresvij,"\n");    free_vector(xicom,1,n); 
     free_matrix(gp,0,nhstepm,1,nlstate);    free_vector(pcom,1,n); 
     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);  /*************** powell ************************/
   } /* End age */  /*
    Minimization of a function func of n variables. Input consists of an initial starting point
   free_vector(xp,1,npar);  p[1..n] ; an initial matrix xi[1..n][1..n] , whose columns contain the initial set of di-
   free_matrix(doldm,1,nlstate,1,npar);  rections (usually the n unit vectors); and ftol , the fractional tolerance in the function value
   free_matrix(dnewm,1,nlstate,1,nlstate);  such that failure to decrease by more than this amount on one iteration signals doneness. On
   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.
    */
 /************ Variance of prevlim ******************/  void powell(double p[], double **xi, int n, double ftol, int *iter, double *fret, 
 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)              double (*func)(double [])) 
 {  { 
   /* Variance of prevalence limit */    void linmin(double p[], double xi[], int n, double *fret, 
   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);*/                double (*func)(double [])); 
   double **newm;    int i,ibig,j; 
   double **dnewm,**doldm;    double del,t,*pt,*ptt,*xit;
   int i, j, nhstepm, hstepm;    double directest;
   int k, cptcode;    double fp,fptt;
   double *xp;    double *xits;
   double *gp, *gm;    int niterf, itmp;
   double **gradg, **trgradg;  
   double age,agelim;    pt=vector(1,n); 
   int theta;    ptt=vector(1,n); 
        xit=vector(1,n); 
   fprintf(ficresvpl,"# Standard deviation of prevalences limit\n");    xits=vector(1,n); 
   fprintf(ficresvpl,"# Age");    *fret=(*func)(p); 
   for(i=1; i<=nlstate;i++)    for (j=1;j<=n;j++) pt[j]=p[j]; 
       fprintf(ficresvpl," %1d-%1d",i,i);      rcurr_time = time(NULL);  
   fprintf(ficresvpl,"\n");    for (*iter=1;;++(*iter)) { 
       fp=(*fret); /* From former iteration or initial value */
   xp=vector(1,npar);      ibig=0; 
   dnewm=matrix(1,nlstate,1,npar);      del=0.0; 
   doldm=matrix(1,nlstate,1,nlstate);      rlast_time=rcurr_time;
        /* (void) gettimeofday(&curr_time,&tzp); */
   hstepm=1*YEARM; /* Every year of age */      rcurr_time = time(NULL);  
   hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */      curr_time = *localtime(&rcurr_time);
   agelim = AGESUP;      printf("\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret, rcurr_time-rlast_time, rcurr_time-rstart_time);fflush(stdout);
   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */      fprintf(ficlog,"\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret,rcurr_time-rlast_time, rcurr_time-rstart_time); fflush(ficlog);
     nhstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */  /*     fprintf(ficrespow,"%d %.12f %ld",*iter,*fret,curr_time.tm_sec-start_time.tm_sec); */
     if (stepm >= YEARM) hstepm=1;      for (i=1;i<=n;i++) {
     nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */        printf(" %d %.12f",i, p[i]);
     gradg=matrix(1,npar,1,nlstate);        fprintf(ficlog," %d %.12lf",i, p[i]);
     gp=vector(1,nlstate);        fprintf(ficrespow," %.12lf", p[i]);
     gm=vector(1,nlstate);      }
       printf("\n");
     for(theta=1; theta <=npar; theta++){      fprintf(ficlog,"\n");
       for(i=1; i<=npar; i++){ /* Computes gradient */      fprintf(ficrespow,"\n");fflush(ficrespow);
         xp[i] = x[i] + (i==theta ?delti[theta]:0);      if(*iter <=3){
       }        tml = *localtime(&rcurr_time);
       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);        strcpy(strcurr,asctime(&tml));
       for(i=1;i<=nlstate;i++)        rforecast_time=rcurr_time; 
         gp[i] = prlim[i][i];        itmp = strlen(strcurr);
            if(strcurr[itmp-1]=='\n')  /* Windows outputs with a new line */
       for(i=1; i<=npar; i++) /* Computes gradient */          strcurr[itmp-1]='\0';
         xp[i] = x[i] - (i==theta ?delti[theta]:0);        printf("\nConsidering the time needed for the last iteration #%d: %ld seconds,\n",*iter,rcurr_time-rlast_time);
       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);        fprintf(ficlog,"\nConsidering the time needed for this last iteration #%d: %ld seconds,\n",*iter,rcurr_time-rlast_time);
       for(i=1;i<=nlstate;i++)        for(niterf=10;niterf<=30;niterf+=10){
         gm[i] = prlim[i][i];          rforecast_time=rcurr_time+(niterf-*iter)*(rcurr_time-rlast_time);
           forecast_time = *localtime(&rforecast_time);
       for(i=1;i<=nlstate;i++)          strcpy(strfor,asctime(&forecast_time));
         gradg[theta][i]= (gp[i]-gm[i])/2./delti[theta];          itmp = strlen(strfor);
     } /* End theta */          if(strfor[itmp-1]=='\n')
           strfor[itmp-1]='\0';
     trgradg =matrix(1,nlstate,1,npar);          printf("   - if your program needs %d iterations to converge, convergence will be \n   reached in %s i.e.\n   on %s (current time is %s);\n",niterf, asc_diff_time(rforecast_time-rcurr_time,tmpout),strfor,strcurr);
           fprintf(ficlog,"   - if your program needs %d iterations to converge, convergence will be \n   reached in %s i.e.\n   on %s (current time is %s);\n",niterf, asc_diff_time(rforecast_time-rcurr_time,tmpout),strfor,strcurr);
     for(j=1; j<=nlstate;j++)        }
       for(theta=1; theta <=npar; theta++)      }
         trgradg[j][theta]=gradg[theta][j];      for (i=1;i<=n;i++) { /* For each direction i */
         for (j=1;j<=n;j++) xit[j]=xi[j][i]; /* Directions stored from previous iteration with previous scales */
     for(i=1;i<=nlstate;i++)        fptt=(*fret); 
       varpl[i][(int)age] =0.;  #ifdef DEBUG
     matprod2(dnewm,trgradg,1,nlstate,1,npar,1,npar,matcov);            printf("fret=%lf, %lf, %lf \n", *fret, *fret, *fret);
     matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg);            fprintf(ficlog, "fret=%lf, %lf, %lf \n", *fret, *fret, *fret);
     for(i=1;i<=nlstate;i++)  #endif
       varpl[i][(int)age] = doldm[i][i]; /* Covariances are useless */            printf("%d",i);fflush(stdout); /* print direction (parameter) i */
         fprintf(ficlog,"%d",i);fflush(ficlog);
     fprintf(ficresvpl,"%.0f ",age );        linmin(p,xit,n,fret,func); /* Point p[n]. xit[n] has been loaded for direction i as input.*/
     for(i=1; i<=nlstate;i++)                                      /* Outputs are fret(new point p) p is updated and xit rescaled */
       fprintf(ficresvpl," %.5f (%.5f)",prlim[i][i],sqrt(varpl[i][(int)age]));        if (fabs(fptt-(*fret)) > del) { /* We are keeping the max gain on each of the n directions */
     fprintf(ficresvpl,"\n");          /* because that direction will be replaced unless the gain del is small */
     free_vector(gp,1,nlstate);          /* in comparison with the 'probable' gain, mu^2, with the last average direction. */
     free_vector(gm,1,nlstate);          /* Unless the n directions are conjugate some gain in the determinant may be obtained */
     free_matrix(gradg,1,npar,1,nlstate);          /* with the new direction. */
     free_matrix(trgradg,1,nlstate,1,npar);          del=fabs(fptt-(*fret)); 
   } /* End age */          ibig=i; 
         } 
   free_vector(xp,1,npar);  #ifdef DEBUG
   free_matrix(doldm,1,nlstate,1,npar);        printf("%d %.12e",i,(*fret));
   free_matrix(dnewm,1,nlstate,1,nlstate);        fprintf(ficlog,"%d %.12e",i,(*fret));
         for (j=1;j<=n;j++) {
 }          xits[j]=FMAX(fabs(p[j]-pt[j]),1.e-5);
           printf(" x(%d)=%.12e",j,xit[j]);
 /************ Variance of one-step probabilities  ******************/          fprintf(ficlog," x(%d)=%.12e",j,xit[j]);
 void varprob(char fileres[], double **matcov, double x[], double delti[], int nlstate, double bage, double fage, int ij)        }
 {        for(j=1;j<=n;j++) {
   int i, j;          printf(" p(%d)=%.12e",j,p[j]);
   int k=0, cptcode;          fprintf(ficlog," p(%d)=%.12e",j,p[j]);
   double **dnewm,**doldm;        }
   double *xp;        printf("\n");
   double *gp, *gm;        fprintf(ficlog,"\n");
   double **gradg, **trgradg;  #endif
   double age,agelim, cov[NCOVMAX];      } /* end loop on each direction i */
   int theta;      /* Convergence test will use last linmin estimation (fret) and compare former iteration (fp) */ 
   char fileresprob[FILENAMELENGTH];      /* But p and xit have been updated at the end of linmin, *fret corresponds to new p, xit  */
       /* New value of last point Pn is not computed, P(n-1) */
   strcpy(fileresprob,"prob");      if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret))) { /* Did we reach enough precision? */
   strcat(fileresprob,fileres);        /* We could compare with a chi^2. chisquare(0.95,ddl=1)=3.84 */
   if((ficresprob=fopen(fileresprob,"w"))==NULL) {        /* By adding age*age in a model, the new -2LL should be lower and the difference follows a */
     printf("Problem with resultfile: %s\n", fileresprob);        /* a chisquare statistics with 1 degree. To be significant at the 95% level, it should have */
   }        /* decreased of more than 3.84  */
   printf("Computing variance of one-step probabilities: result on file '%s' \n",fileresprob);        /* By adding age*age and V1*age the gain (-2LL) should be more than 5.99 (ddl=2) */
          /* By using V1+V2+V3, the gain should be  7.82, compared with basic 1+age. */
         /* By adding 10 parameters more the gain should be 18.31 */
   xp=vector(1,npar);  
   dnewm=matrix(1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);        /* Starting the program with initial values given by a former maximization will simply change */
   doldm=matrix(1,(nlstate+ndeath)*(nlstate+ndeath),1,(nlstate+ndeath)*(nlstate+ndeath));        /* the scales of the directions and the directions, because the are reset to canonical directions */
          /* Thus the first calls to linmin will give new points and better maximizations until fp-(*fret) is */
   cov[1]=1;        /* under the tolerance value. If the tolerance is very small 1.e-9, it could last long.  */
   for (age=bage; age<=fage; age ++){  #ifdef DEBUG
     cov[2]=age;        int k[2],l;
     gradg=matrix(1,npar,1,9);        k[0]=1;
     trgradg=matrix(1,9,1,npar);        k[1]=-1;
     gp=vector(1,(nlstate+ndeath)*(nlstate+ndeath));        printf("Max: %.12e",(*func)(p));
     gm=vector(1,(nlstate+ndeath)*(nlstate+ndeath));        fprintf(ficlog,"Max: %.12e",(*func)(p));
            for (j=1;j<=n;j++) {
     for(theta=1; theta <=npar; theta++){          printf(" %.12e",p[j]);
       for(i=1; i<=npar; i++)          fprintf(ficlog," %.12e",p[j]);
         xp[i] = x[i] + (i==theta ?delti[theta]:0);        }
              printf("\n");
       pmij(pmmij,cov,ncovmodel,xp,nlstate);        fprintf(ficlog,"\n");
            for(l=0;l<=1;l++) {
       k=0;          for (j=1;j<=n;j++) {
       for(i=1; i<= (nlstate+ndeath); i++){            ptt[j]=p[j]+(p[j]-pt[j])*k[l];
         for(j=1; j<=(nlstate+ndeath);j++){            printf("l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
            k=k+1;            fprintf(ficlog,"l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
           gp[k]=pmmij[i][j];          }
         }          printf("func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
       }          fprintf(ficlog,"func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
         }
       for(i=1; i<=npar; i++)  #endif
         xp[i] = x[i] - (i==theta ?delti[theta]:0);  
      
         free_vector(xit,1,n); 
       pmij(pmmij,cov,ncovmodel,xp,nlstate);        free_vector(xits,1,n); 
       k=0;        free_vector(ptt,1,n); 
       for(i=1; i<=(nlstate+ndeath); i++){        free_vector(pt,1,n); 
         for(j=1; j<=(nlstate+ndeath);j++){        return; 
           k=k+1;      } /* enough precision */ 
           gm[k]=pmmij[i][j];      if (*iter == ITMAX) nrerror("powell exceeding maximum iterations."); 
         }      for (j=1;j<=n;j++) { /* Computes the extrapolated point P_0 + 2 (P_n-P_0) */
       }        ptt[j]=2.0*p[j]-pt[j]; 
              xit[j]=p[j]-pt[j]; 
        for(i=1; i<= (nlstate+ndeath)*(nlstate+ndeath); i++)        pt[j]=p[j]; 
            gradg[theta][i]=(gp[i]-gm[i])/2./delti[theta];        } 
     }      fptt=(*func)(ptt); /* f_3 */
   #ifdef POWELLF1F3
      for(j=1; j<=(nlstate+ndeath)*(nlstate+ndeath);j++)  #else
       for(theta=1; theta <=npar; theta++)      if (fptt < fp) { /* If extrapolated point is better, decide if we keep that new direction or not */
       trgradg[j][theta]=gradg[theta][j];  #endif
          /* (x1 f1=fp), (x2 f2=*fret), (x3 f3=fptt), (xm fm) */
      matprod2(dnewm,trgradg,1,9,1,npar,1,npar,matcov);        /* From x1 (P0) distance of x2 is at h and x3 is 2h */
      matprod2(doldm,dnewm,1,9,1,npar,1,9,gradg);        /* Let f"(x2) be the 2nd derivative equal everywhere.  */
         /* Then the parabolic through (x1,f1), (x2,f2) and (x3,f3) */
      pmij(pmmij,cov,ncovmodel,x,nlstate);        /* 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 */
      k=0;        /* t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)-del*SQR(fp-fptt); */
      for(i=1; i<=(nlstate+ndeath); i++){  #ifdef NRCORIGINAL
        for(j=1; j<=(nlstate+ndeath);j++){        t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)- del*SQR(fp-fptt); /* Original Numerical Recipes in C*/
          k=k+1;  #else
          gm[k]=pmmij[i][j];        t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del); /* Intel compiler doesn't work on one line; bug reported */
         }        t= t- del*SQR(fp-fptt);
      }  #endif
              directest = fp-2.0*(*fret)+fptt - 2.0 * del; /* If del was big enough we change it for a new direction */
      /*printf("\n%d ",(int)age);  #ifdef DEBUG
      for (i=1; i<=(nlstate+ndeath)*(nlstate+ndeath-1);i++){        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);
                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);
         printf("t3= %.12lf, t4= %.12lf, t3*= %.12lf, t4*= %.12lf\n",SQR(fp-(*fret)-del),SQR(fp-fptt),
        printf("%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));               (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));
   fprintf(ficresprob,"\n%d ",(int)age);        printf("tt= %.12lf, t=%.12lf\n",2.0*(fp-2.0*(*fret)+fptt)*(fp-(*fret)-del)*(fp-(*fret)-del)-del*(fp-fptt)*(fp-fptt),t);
         fprintf(ficlog, "tt= %.12lf, t=%.12lf\n",2.0*(fp-2.0*(*fret)+fptt)*(fp-(*fret)-del)*(fp-(*fret)-del)-del*(fp-fptt)*(fp-fptt),t);
   for (i=1; i<=(nlstate+ndeath)*(nlstate+ndeath-1);i++){  #endif
     if (i== 2) fprintf(ficresprob,"%.3e %.3e ",gm[i],doldm[i][i]);  #ifdef POWELLORIGINAL
 if (i== 4) fprintf(ficresprob,"%.3e %.3e ",gm[i],doldm[i][i]);        if (t < 0.0) { /* Then we use it for new direction */
   }  #else
         if (directest*t < 0.0) { /* Contradiction between both tests */
     free_vector(gp,1,(nlstate+ndeath)*(nlstate+ndeath));          printf("directest= %.12lf, t= %.12lf, f1= %.12lf,f2= %.12lf,f3= %.12lf, del= %.12lf\n",directest, t, fp,(*fret),fptt,del);
     free_vector(gm,1,(nlstate+ndeath)*(nlstate+ndeath));          printf("f1-2f2+f3= %.12lf, f1-f2-del= %.12lf, f1-f3= %.12lf\n",fp-2.0*(*fret)+fptt, fp -(*fret) -del, fp-fptt);
     free_matrix(trgradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);          fprintf(ficlog,"directest= %.12lf, t= %.12lf, f1= %.12lf,f2= %.12lf,f3= %.12lf, del= %.12lf\n",directest, t, fp,(*fret),fptt, del);
     free_matrix(gradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);          fprintf(ficlog,"f1-2f2+f3= %.12lf, f1-f2-del= %.12lf, f1-f3= %.12lf\n",fp-2.0*(*fret)+fptt, fp -(*fret) -del, fp-fptt);
 }        } 
  free_vector(xp,1,npar);        if (directest < 0.0) { /* Then we use it for new direction */
 fclose(ficresprob);  #endif
  exit(0);  #ifdef DEBUGLINMIN
 }          printf("Before linmin in direction P%d-P0\n",n);
           for (j=1;j<=n;j++) { 
 /***********************************************/            printf("Before xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
 /**************** Main Program *****************/            if(j % ncovmodel == 0)
 /***********************************************/              printf("\n");
           }
 /*int main(int argc, char *argv[])*/  #endif
 int main()          linmin(p,xit,n,fret,func); /* computes minimum on the extrapolated direction: changes p and rescales xit.*/
 {  #ifdef DEBUGLINMIN
           for (j=1;j<=n;j++) { 
   int i,j, k, n=MAXN,iter,m,size,cptcode, cptcod;            printf("After xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
   double agedeb, agefin,hf;            if(j % ncovmodel == 0)
   double agemin=1.e20, agemax=-1.e20;              printf("\n");
           }
   double fret;  #endif
   double **xi,tmp,delta;          for (j=1;j<=n;j++) { 
             xi[j][ibig]=xi[j][n]; /* Replace direction with biggest decrease by last direction n */
   double dum; /* Dummy variable */            xi[j][n]=xit[j];      /* and this nth direction by the by the average p_0 p_n */
   double ***p3mat;          }
   int *indx;          printf("Gaining to use new average direction of P0 P%d instead of biggest increase direction %d :\n",n,ibig);
   char line[MAXLINE], linepar[MAXLINE];          fprintf(ficlog,"Gaining to use new average direction of P0 P%d instead of biggest increase direction %d :\n",n,ibig);
   char title[MAXLINE];  
   char optionfile[FILENAMELENGTH], datafile[FILENAMELENGTH],  filerespl[FILENAMELENGTH], optionfilehtm[FILENAMELENGTH];  #ifdef DEBUG
   char fileres[FILENAMELENGTH], filerespij[FILENAMELENGTH], filereso[FILENAMELENGTH], fileresf[FILENAMELENGTH];          printf("Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
   char filerest[FILENAMELENGTH];          fprintf(ficlog,"Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
   char fileregp[FILENAMELENGTH];          for(j=1;j<=n;j++){
   char popfile[FILENAMELENGTH];            printf(" %.12e",xit[j]);
   char path[80],pathc[80],pathcd[80],pathtot[80],model[20];            fprintf(ficlog," %.12e",xit[j]);
   int firstobs=1, lastobs=10;          }
   int sdeb, sfin; /* Status at beginning and end */          printf("\n");
   int c,  h , cpt,l;          fprintf(ficlog,"\n");
   int ju,jl, mi;  #endif
   int i1,j1, k1,k2,k3,jk,aa,bb, stepsize, ij;        } /* end of t or directest negative */
   int jnais,jdc,jint4,jint1,jint2,jint3,**outcome,**adl,*tab;  #ifdef POWELLF1F3
   int mobilav=0,popforecast=0;  #else
   int hstepm, nhstepm;      } /* end if (fptt < fp)  */
   int *popage;/*boolprev=0 if date and zero if wave*/  #endif
   double jprev1, mprev1,anprev1,jprev2, mprev2,anprev2;    } /* loop iteration */ 
   } 
   double bage, fage, age, agelim, agebase;  
   double ftolpl=FTOL;  /**** Prevalence limit (stable or period prevalence)  ****************/
   double **prlim;  
   double *severity;  double **prevalim(double **prlim, int nlstate, double x[], double age, double **oldm, double **savm, double ftolpl, int ij)
   double ***param; /* Matrix of parameters */  {
   double  *p;    /* Computes the prevalence limit in each live state at age x by left multiplying the unit
   double **matcov; /* Matrix of covariance */       matrix by transitions matrix until convergence is reached */
   double ***delti3; /* Scale */    
   double *delti; /* Scale */    int i, ii,j,k;
   double ***eij, ***vareij;    double min, max, maxmin, maxmax,sumnew=0.;
   double **varpl; /* Variances of prevalence limits by age */    /* double **matprod2(); */ /* test */
   double *epj, vepp;    double **out, cov[NCOVMAX+1], **pmij();
   double kk1, kk2;    double **newm;
   double *popeffectif,*popcount;    double agefin, delaymax=50 ; /* Max number of years to converge */
   double dateprev1, dateprev2,jproj1,mproj1,anproj1,jproj2,mproj2,anproj2,jprojmean,mprojmean,anprojmean, calagedate;    
   double yp,yp1,yp2;    for (ii=1;ii<=nlstate+ndeath;ii++)
       for (j=1;j<=nlstate+ndeath;j++){
   char version[80]="Imach version 64b, May 2001, INED-EUROREVES ";        oldm[ii][j]=(ii==j ? 1.0 : 0.0);
   char *alph[]={"a","a","b","c","d","e"}, str[4];      }
     
     cov[1]=1.;
   char z[1]="c", occ;    
 #include <sys/time.h>    /* Even if hstepm = 1, at least one multiplication by the unit matrix */
 #include <time.h>    for(agefin=age-stepm/YEARM; agefin>=age-delaymax; agefin=agefin-stepm/YEARM){
   char stra[80], strb[80], strc[80], strd[80],stre[80],modelsav[80];      newm=savm;
        /* Covariates have to be included here again */
   /* long total_usecs;      cov[2]=agefin;
   struct timeval start_time, end_time;      if(nagesqr==1)
          cov[3]= agefin*agefin;;
   gettimeofday(&start_time, (struct timezone*)0); */ /* at first time */      for (k=1; k<=cptcovn;k++) {
         /* cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
         cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)];
   printf("\nIMACH, Version 0.7");        /* 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])]); */
   printf("\nEnter the parameter file name: ");      }
       /*wrong? for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
 #ifdef windows      /* for (k=1; k<=cptcovage;k++) cov[2+nagesqr+Tage[k]]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]*cov[2]; */
   scanf("%s",pathtot);      for (k=1; k<=cptcovage;k++) cov[2+nagesqr+Tage[k]]=nbcode[Tvar[k]][codtabm(ij,k)]*cov[2];
   getcwd(pathcd, size);      for (k=1; k<=cptcovprod;k++) /* Useless */
   /*cygwin_split_path(pathtot,path,optionfile);        /* cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,Tvard[k][1])] * nbcode[Tvard[k][2]][codtabm(ij,Tvard[k][2])]; */
     printf("pathtot=%s, path=%s, optionfile=%s\n",pathtot,path,optionfile);*/        cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * nbcode[Tvard[k][2]][codtabm(ij,k)];
   /* cutv(path,optionfile,pathtot,'\\');*/      
       /*printf("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/
 split(pathtot, path,optionfile);      /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/
   chdir(path);      /*printf("ij=%d cov[3]=%lf \n",ij, cov[3]);*/
   replace(pathc,path);      /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
 #endif      /* out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /\* Bug Valgrind *\/ */
 #ifdef unix      out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /* Bug Valgrind */
   scanf("%s",optionfile);      
 #endif      savm=oldm;
       oldm=newm;
 /*-------- arguments in the command line --------*/      maxmax=0.;
       for(j=1;j<=nlstate;j++){
   strcpy(fileres,"r");        min=1.;
   strcat(fileres, optionfile);        max=0.;
         for(i=1; i<=nlstate; i++) {
   /*---------arguments file --------*/          sumnew=0;
           for(k=1; k<=ndeath; k++) sumnew+=newm[i][nlstate+k];
   if((ficpar=fopen(optionfile,"r"))==NULL)    {          prlim[i][j]= newm[i][j]/(1-sumnew);
     printf("Problem with optionfile %s\n",optionfile);          /*printf(" prevalim i=%d, j=%d, prmlim[%d][%d]=%f, agefin=%d \n", i, j, i, j, prlim[i][j],(int)agefin);*/
     goto end;          max=FMAX(max,prlim[i][j]);
   }          min=FMIN(min,prlim[i][j]);
         }
   strcpy(filereso,"o");        maxmin=max-min;
   strcat(filereso,fileres);        maxmax=FMAX(maxmax,maxmin);
   if((ficparo=fopen(filereso,"w"))==NULL) {      } /* j loop */
     printf("Problem with Output resultfile: %s\n", filereso);goto end;      if(maxmax < ftolpl){
   }        return prlim;
       }
   /* Reads comments: lines beginning with '#' */    } /* age loop */
   while((c=getc(ficpar))=='#' && c!= EOF){    return prlim; /* should not reach here */
     ungetc(c,ficpar);  }
     fgets(line, MAXLINE, ficpar);  
     puts(line);  /*************** transition probabilities ***************/ 
     fputs(line,ficparo);  
   }  double **pmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )
   ungetc(c,ficpar);  {
     /* According to parameters values stored in x and the covariate's values stored in cov,
   fscanf(ficpar,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%lf stepm=%d ncov=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\nmodel=%s\n",title, datafile, &lastobs, &firstpass,&lastpass,&ftol, &stepm, &ncov, &nlstate,&ndeath, &maxwav, &mle, &weightopt,model);       computes the probability to be observed in state j being in state i by appying the
   printf("title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncov=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\nmodel=%s\n", title, datafile, lastobs, firstpass,lastpass,ftol, stepm, ncov, nlstate,ndeath, maxwav, mle, weightopt,model);       model to the ncovmodel covariates (including constant and age).
   fprintf(ficparo,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncov=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\nmodel=%s\n", title, datafile, lastobs, firstpass,lastpass,ftol,stepm,ncov,nlstate,ndeath,maxwav, mle, weightopt,model);       lnpijopii=ln(pij/pii)= aij+bij*age+cij*v1+dij*v2+... = sum_nc=1^ncovmodel xij(nc)*cov[nc]
 while((c=getc(ficpar))=='#' && c!= EOF){       and, according on how parameters are entered, the position of the coefficient xij(nc) of the
     ungetc(c,ficpar);       ncth covariate in the global vector x is given by the formula:
     fgets(line, MAXLINE, ficpar);       j<i nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel
     puts(line);       j>=i nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel
     fputs(line,ficparo);       Computes ln(pij/pii) (lnpijopii), deduces pij/pii by exponentiation,
   }       sums on j different of i to get 1-pii/pii, deduces pii, and then all pij.
   ungetc(c,ficpar);       Outputs ps[i][j] the probability to be observed in j being in j according to
         the values of the covariates cov[nc] and corresponding parameter values x[nc+shiftij]
        */
   covar=matrix(0,NCOVMAX,1,n);    double s1, lnpijopii;
   cptcovn=0;    /*double t34;*/
   if (strlen(model)>1) cptcovn=nbocc(model,'+')+1;    int i,j, nc, ii, jj;
   
   ncovmodel=2+cptcovn;      for(i=1; i<= nlstate; i++){
   nvar=ncovmodel-1; /* Suppressing age as a basic covariate */        for(j=1; j<i;j++){
            for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
   /* Read guess parameters */            /*lnpijopii += param[i][j][nc]*cov[nc];*/
   /* Reads comments: lines beginning with '#' */            lnpijopii += x[nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel]*cov[nc];
   while((c=getc(ficpar))=='#' && c!= EOF){  /*       printf("Int j<i s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
     ungetc(c,ficpar);          }
     fgets(line, MAXLINE, ficpar);          ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
     puts(line);  /*      printf("s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
     fputs(line,ficparo);        }
   }        for(j=i+1; j<=nlstate+ndeath;j++){
   ungetc(c,ficpar);          for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
              /*lnpijopii += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];*/
   param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);            lnpijopii += x[nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel]*cov[nc];
     for(i=1; i <=nlstate; i++)  /*        printf("Int j>i s1=%.17e, lnpijopii=%.17e %lx %lx\n",s1,lnpijopii,s1,lnpijopii); */
     for(j=1; j <=nlstate+ndeath-1; j++){          }
       fscanf(ficpar,"%1d%1d",&i1,&j1);          ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
       fprintf(ficparo,"%1d%1d",i1,j1);        }
       printf("%1d%1d",i,j);      }
       for(k=1; k<=ncovmodel;k++){      
         fscanf(ficpar," %lf",&param[i][j][k]);      for(i=1; i<= nlstate; i++){
         printf(" %lf",param[i][j][k]);        s1=0;
         fprintf(ficparo," %lf",param[i][j][k]);        for(j=1; j<i; j++){
       }          s1+=exp(ps[i][j]); /* In fact sums pij/pii */
       fscanf(ficpar,"\n");          /*printf("debug1 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
       printf("\n");        }
       fprintf(ficparo,"\n");        for(j=i+1; j<=nlstate+ndeath; j++){
     }          s1+=exp(ps[i][j]); /* In fact sums pij/pii */
            /*printf("debug2 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
     npar= (nlstate+ndeath-1)*nlstate*ncovmodel;        }
         /* s1= sum_{j<>i} pij/pii=(1-pii)/pii and thus pii is known from s1 */
   p=param[1][1];        ps[i][i]=1./(s1+1.);
          /* Computing other pijs */
   /* Reads comments: lines beginning with '#' */        for(j=1; j<i; j++)
   while((c=getc(ficpar))=='#' && c!= EOF){          ps[i][j]= exp(ps[i][j])*ps[i][i];
     ungetc(c,ficpar);        for(j=i+1; j<=nlstate+ndeath; j++)
     fgets(line, MAXLINE, ficpar);          ps[i][j]= exp(ps[i][j])*ps[i][i];
     puts(line);        /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */
     fputs(line,ficparo);      } /* end i */
   }      
   ungetc(c,ficpar);      for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){
         for(jj=1; jj<= nlstate+ndeath; jj++){
   delti3= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);          ps[ii][jj]=0;
   delti=vector(1,npar); /* Scale of each paramater (output from hesscov) */          ps[ii][ii]=1;
   for(i=1; i <=nlstate; i++){        }
     for(j=1; j <=nlstate+ndeath-1; j++){      }
       fscanf(ficpar,"%1d%1d",&i1,&j1);      
       printf("%1d%1d",i,j);      
       fprintf(ficparo,"%1d%1d",i1,j1);      /* for(ii=1; ii<= nlstate+ndeath; ii++){ */
       for(k=1; k<=ncovmodel;k++){      /*   for(jj=1; jj<= nlstate+ndeath; jj++){ */
         fscanf(ficpar,"%le",&delti3[i][j][k]);      /*  printf(" pmij  ps[%d][%d]=%lf ",ii,jj,ps[ii][jj]); */
         printf(" %le",delti3[i][j][k]);      /*   } */
         fprintf(ficparo," %le",delti3[i][j][k]);      /*   printf("\n "); */
       }      /* } */
       fscanf(ficpar,"\n");      /* printf("\n ");printf("%lf ",cov[2]);*/
       printf("\n");      /*
       fprintf(ficparo,"\n");        for(i=1; i<= npar; i++) printf("%f ",x[i]);
     }        goto end;*/
   }      return ps;
   delti=delti3[1][1];  }
    
   /* Reads comments: lines beginning with '#' */  /**************** Product of 2 matrices ******************/
   while((c=getc(ficpar))=='#' && c!= EOF){  
     ungetc(c,ficpar);  double **matprod2(double **out, double **in,int nrl, int nrh, int ncl, int nch, int ncolol, int ncoloh, double **b)
     fgets(line, MAXLINE, ficpar);  {
     puts(line);    /* Computes the matrix product of in(1,nrh-nrl+1)(1,nch-ncl+1) times
     fputs(line,ficparo);       b(1,nch-ncl+1)(1,ncoloh-ncolol+1) into out(...) */
   }    /* in, b, out are matrice of pointers which should have been initialized 
   ungetc(c,ficpar);       before: only the contents of out is modified. The function returns
         a pointer to pointers identical to out */
   matcov=matrix(1,npar,1,npar);    int i, j, k;
   for(i=1; i <=npar; i++){    for(i=nrl; i<= nrh; i++)
     fscanf(ficpar,"%s",&str);      for(k=ncolol; k<=ncoloh; k++){
     printf("%s",str);        out[i][k]=0.;
     fprintf(ficparo,"%s",str);        for(j=ncl; j<=nch; j++)
     for(j=1; j <=i; j++){          out[i][k] +=in[i][j]*b[j][k];
       fscanf(ficpar," %le",&matcov[i][j]);      }
       printf(" %.5le",matcov[i][j]);    return out;
       fprintf(ficparo," %.5le",matcov[i][j]);  }
     }  
     fscanf(ficpar,"\n");  
     printf("\n");  /************* Higher Matrix Product ***************/
     fprintf(ficparo,"\n");  
   }  double ***hpxij(double ***po, int nhstepm, double age, int hstepm, double *x, int nlstate, int stepm, double **oldm, double **savm, int ij )
   for(i=1; i <=npar; i++)  {
     for(j=i+1;j<=npar;j++)    /* Computes the transition matrix starting at age 'age' over 
       matcov[i][j]=matcov[j][i];       'nhstepm*hstepm*stepm' months (i.e. until
           age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying 
   printf("\n");       nhstepm*hstepm matrices. 
        Output is stored in matrix po[i][j][h] for h every 'hstepm' step 
        (typically every 2 years instead of every month which is too big 
     /*-------- data file ----------*/       for the memory).
     if((ficres =fopen(fileres,"w"))==NULL) {       Model is determined by parameters x and covariates have to be 
       printf("Problem with resultfile: %s\n", fileres);goto end;       included manually here. 
     }  
     fprintf(ficres,"#%s\n",version);       */
      
     if((fic=fopen(datafile,"r"))==NULL)    {    int i, j, d, h, k;
       printf("Problem with datafile: %s\n", datafile);goto end;    double **out, cov[NCOVMAX+1];
     }    double **newm;
     double agexact;
     n= lastobs;  
     severity = vector(1,maxwav);    /* Hstepm could be zero and should return the unit matrix */
     outcome=imatrix(1,maxwav+1,1,n);    for (i=1;i<=nlstate+ndeath;i++)
     num=ivector(1,n);      for (j=1;j<=nlstate+ndeath;j++){
     moisnais=vector(1,n);        oldm[i][j]=(i==j ? 1.0 : 0.0);
     annais=vector(1,n);        po[i][j][0]=(i==j ? 1.0 : 0.0);
     moisdc=vector(1,n);      }
     andc=vector(1,n);    /* Even if hstepm = 1, at least one multiplication by the unit matrix */
     agedc=vector(1,n);    for(h=1; h <=nhstepm; h++){
     cod=ivector(1,n);      for(d=1; d <=hstepm; d++){
     weight=vector(1,n);        newm=savm;
     for(i=1;i<=n;i++) weight[i]=1.0; /* Equal weights, 1 by default */        /* Covariates have to be included here again */
     mint=matrix(1,maxwav,1,n);        cov[1]=1.;
     anint=matrix(1,maxwav,1,n);        agexact=age+((h-1)*hstepm + (d-1))*stepm/YEARM;
     s=imatrix(1,maxwav+1,1,n);        cov[2]=agexact;
     adl=imatrix(1,maxwav+1,1,n);            if(nagesqr==1)
     tab=ivector(1,NCOVMAX);          cov[3]= agexact*agexact;
     ncodemax=ivector(1,8);        for (k=1; k<=cptcovn;k++) 
           cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)];
     i=1;          /* cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
     while (fgets(line, MAXLINE, fic) != NULL)    {        for (k=1; k<=cptcovage;k++) /* Should start at cptcovn+1 */
       if ((i >= firstobs) && (i <=lastobs)) {          /* cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
                  cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
         for (j=maxwav;j>=1;j--){          /* cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,Tvar[Tage[k]])]*cov[2]; */
           cutv(stra, strb,line,' '); s[j][i]=atoi(strb);        for (k=1; k<=cptcovprod;k++) /* Useless because included in cptcovn */
           strcpy(line,stra);          cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)]*nbcode[Tvard[k][2]][codtabm(ij,k)];
           cutv(stra, strb,line,'/'); anint[j][i]=(double)(atoi(strb)); strcpy(line,stra);          /* cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,Tvard[k][1])]*nbcode[Tvard[k][2]][codtabm(ij,Tvard[k][2])]; */
           cutv(stra, strb,line,' '); mint[j][i]=(double)(atoi(strb)); strcpy(line,stra);  
         }  
                /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/
         cutv(stra, strb,line,'/'); andc[i]=(double)(atoi(strb)); strcpy(line,stra);        /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/
         cutv(stra, strb,line,' '); moisdc[i]=(double)(atoi(strb)); strcpy(line,stra);        out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, 
                      pmij(pmmij,cov,ncovmodel,x,nlstate));
         cutv(stra, strb,line,'/'); annais[i]=(double)(atoi(strb)); strcpy(line,stra);        savm=oldm;
         cutv(stra, strb,line,' '); moisnais[i]=(double)(atoi(strb)); strcpy(line,stra);        oldm=newm;
       }
         cutv(stra, strb,line,' '); weight[i]=(double)(atoi(strb)); strcpy(line,stra);      for(i=1; i<=nlstate+ndeath; i++)
         for (j=ncov;j>=1;j--){        for(j=1;j<=nlstate+ndeath;j++) {
           cutv(stra, strb,line,' '); covar[j][i]=(double)(atoi(strb)); strcpy(line,stra);          po[i][j][h]=newm[i][j];
         }          /*if(h==nhstepm) printf("po[%d][%d][%d]=%f ",i,j,h,po[i][j][h]);*/
         num[i]=atol(stra);        }
              /*printf("h=%d ",h);*/
         /*if((s[2][i]==2) && (s[3][i]==-1)&&(s[4][i]==9)){    } /* end h */
           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;}*/  /*     printf("\n H=%d \n",h); */
     return po;
         i=i+1;  }
       }  
     }  #ifdef NLOPT
     /* printf("ii=%d", ij);    double  myfunc(unsigned n, const double *p1, double *grad, void *pd){
        scanf("%d",i);*/    double fret;
   imx=i-1; /* Number of individuals */    double *xt;
     int j;
   /* for (i=1; i<=imx; i++){    myfunc_data *d2 = (myfunc_data *) pd;
     if ((s[1][i]==3) && (s[2][i]==2)) s[2][i]=3;  /* xt = (p1-1); */
     if ((s[2][i]==3) && (s[3][i]==2)) s[3][i]=3;    xt=vector(1,n); 
     if ((s[3][i]==3) && (s[4][i]==2)) s[4][i]=3;    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 */
     for (i=1; i<=imx; i++)    /* fret=(*func)(xt); /\*  p xt[1]@8 is fine *\/ */
     if (covar[1][i]==0) printf("%d %.lf %.lf %.lf %.lf/%.lf %.lf/%.lf %.lf/%.lf %d %.lf/%.lf %d %.lf/%.lf %d %.lf/%.lf %d\n",num[i],(covar[1][i]), (covar[2][i]), (weight[i]), (moisnais[i]), (annais[i]), (moisdc[i]), (andc[i]), (mint[1][i]), (anint[1][i]), (s[1][i]),  (mint[2][i]), (anint[2][i]), (s[2][i]),  (mint[3][i]), (anint[3][i]), (s[3][i]),  (mint[4][i]), (anint[4][i]), (s[4][i]));*/    printf("Function = %.12lf ",fret);
     for (j=1;j<=n;j++) printf(" %d %.8lf", j, xt[j]); 
   /* Calculation of the number of parameter from char model*/    printf("\n");
   Tvar=ivector(1,15);   free_vector(xt,1,n);
   Tprod=ivector(1,15);    return fret;
   Tvaraff=ivector(1,15);  }
   Tvard=imatrix(1,15,1,2);  #endif
   Tage=ivector(1,15);        
      /*************** log-likelihood *************/
   if (strlen(model) >1){  double func( double *x)
     j=0, j1=0, k1=1, k2=1;  {
     j=nbocc(model,'+');    int i, ii, j, k, mi, d, kk;
     j1=nbocc(model,'*');    double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1];
     cptcovn=j+1;    double **out;
     cptcovprod=j1;    double sw; /* Sum of weights */
        double lli; /* Individual log likelihood */
        int s1, s2;
     strcpy(modelsav,model);    double bbh, survp;
     if ((strcmp(model,"age")==0) || (strcmp(model,"age*age")==0)){    long ipmx;
       printf("Error. Non available option model=%s ",model);    double agexact;
       goto end;    /*extern weight */
     }    /* We are differentiating ll according to initial status */
        /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
     for(i=(j+1); i>=1;i--){    /*for(i=1;i<imx;i++) 
       cutv(stra,strb,modelsav,'+');      printf(" %d\n",s[4][i]);
       if (nbocc(modelsav,'+')==0) strcpy(strb,modelsav);    */
       /*      printf("i=%d a=%s b=%s sav=%s\n",i, stra,strb,modelsav);*/  
       /*scanf("%d",i);*/    ++countcallfunc;
       if (strchr(strb,'*')) {  
         cutv(strd,strc,strb,'*');    cov[1]=1.;
         if (strcmp(strc,"age")==0) {  
           cptcovprod--;    for(k=1; k<=nlstate; k++) ll[k]=0.;
           cutv(strb,stre,strd,'V');  
           Tvar[i]=atoi(stre);    if(mle==1){
           cptcovage++;      for (i=1,ipmx=0, sw=0.; i<=imx; i++){
             Tage[cptcovage]=i;        /* Computes the values of the ncovmodel covariates of the model
             /*printf("stre=%s ", stre);*/           depending if the covariates are fixed or variying (age dependent) and stores them in cov[]
         }           Then computes with function pmij which return a matrix p[i][j] giving the elementary probability
         else if (strcmp(strd,"age")==0) {           to be observed in j being in i according to the model.
           cptcovprod--;         */
           cutv(strb,stre,strc,'V');        for (k=1; k<=cptcovn;k++){ /* Simple and product covariates without age* products */
           Tvar[i]=atoi(stre);            cov[2+nagesqr+k]=covar[Tvar[k]][i];
           cptcovage++;        }
           Tage[cptcovage]=i;        /* 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] 
         else {           has been calculated etc */
           cutv(strb,stre,strc,'V');        for(mi=1; mi<= wav[i]-1; mi++){
           Tvar[i]=ncov+k1;          for (ii=1;ii<=nlstate+ndeath;ii++)
           cutv(strb,strc,strd,'V');            for (j=1;j<=nlstate+ndeath;j++){
           Tprod[k1]=i;              oldm[ii][j]=(ii==j ? 1.0 : 0.0);
           Tvard[k1][1]=atoi(strc);              savm[ii][j]=(ii==j ? 1.0 : 0.0);
           Tvard[k1][2]=atoi(stre);            }
           Tvar[cptcovn+k2]=Tvard[k1][1];          for(d=0; d<dh[mi][i]; d++){
           Tvar[cptcovn+k2+1]=Tvard[k1][2];            newm=savm;
           for (k=1; k<=lastobs;k++)            agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
             covar[ncov+k1][k]=covar[atoi(stre)][k]*covar[atoi(strc)][k];            cov[2]=agexact;
           k1++;            if(nagesqr==1)
           k2=k2+2;              cov[3]= agexact*agexact;
         }            for (kk=1; kk<=cptcovage;kk++) {
       }              cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact; /* Tage[kk] gives the data-covariate associated with age */
       else {            }
         /*printf("d=%s c=%s b=%s\n", strd,strc,strb);*/            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
        /*  scanf("%d",i);*/                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
       cutv(strd,strc,strb,'V');            savm=oldm;
       Tvar[i]=atoi(strc);            oldm=newm;
       }          } /* end mult */
       strcpy(modelsav,stra);          
       /*printf("a=%s b=%s sav=%s\n", stra,strb,modelsav);          /*lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);*/ /* Original formula */
         scanf("%d",i);*/          /* But now since version 0.9 we anticipate for bias at large stepm.
     }           * If stepm is larger than one month (smallest stepm) and if the exact delay 
 }           * (in months) between two waves is not a multiple of stepm, we rounded to 
             * the nearest (and in case of equal distance, to the lowest) interval but now
   /*printf("tvar1=%d tvar2=%d tvar3=%d cptcovage=%d Tage=%d",Tvar[1],Tvar[2],Tvar[3],cptcovage,Tage[1]);           * we keep into memory the bias bh[mi][i] and also the previous matrix product
   printf("cptcovprod=%d ", cptcovprod);           * (i.e to dh[mi][i]-1) saved in 'savm'. Then we inter(extra)polate the
   scanf("%d ",i);*/           * probability in order to take into account the bias as a fraction of the way
     fclose(fic);           * from savm to out if bh is negative or even beyond if bh is positive. bh varies
            * -stepm/2 to stepm/2 .
     /*  if(mle==1){*/           * For stepm=1 the results are the same as for previous versions of Imach.
     if (weightopt != 1) { /* Maximisation without weights*/           * For stepm > 1 the results are less biased than in previous versions. 
       for(i=1;i<=n;i++) weight[i]=1.0;           */
     }          s1=s[mw[mi][i]][i];
     /*-calculation of age at interview from date of interview and age at death -*/          s2=s[mw[mi+1][i]][i];
     agev=matrix(1,maxwav,1,imx);          bbh=(double)bh[mi][i]/(double)stepm; 
           /* bias bh is positive if real duration
    for (i=1; i<=imx; i++)           * is higher than the multiple of stepm and negative otherwise.
      for(m=2; (m<= maxwav); m++)           */
        if ((mint[m][i]== 99) && (s[m][i] <= nlstate)){          /* lli= (savm[s1][s2]>1.e-8 ?(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]):log((1.+bbh)*out[s1][s2]));*/
          anint[m][i]=9999;          if( s2 > nlstate){ 
          s[m][i]=-1;            /* i.e. if s2 is a death state and if the date of death is known 
        }               then the contribution to the likelihood is the probability to 
                   die between last step unit time and current  step unit time, 
     for (i=1; i<=imx; i++)  {               which is also equal to probability to die before dh 
       agedc[i]=(moisdc[i]/12.+andc[i])-(moisnais[i]/12.+annais[i]);               minus probability to die before dh-stepm . 
       for(m=1; (m<= maxwav); m++){               In version up to 0.92 likelihood was computed
         if(s[m][i] >0){          as if date of death was unknown. Death was treated as any other
           if (s[m][i] == nlstate+1) {          health state: the date of the interview describes the actual state
             if(agedc[i]>0)          and not the date of a change in health state. The former idea was
               if(moisdc[i]!=99 && andc[i]!=9999)          to consider that at each interview the state was recorded
               agev[m][i]=agedc[i];          (healthy, disable or death) and IMaCh was corrected; but when we
             else {          introduced the exact date of death then we should have modified
               if (andc[i]!=9999){          the contribution of an exact death to the likelihood. This new
               printf("Warning negative age at death: %d line:%d\n",num[i],i);          contribution is smaller and very dependent of the step unit
               agev[m][i]=-1;          stepm. It is no more the probability to die between last interview
               }          and month of death but the probability to survive from last
             }          interview up to one month before death multiplied by the
           }          probability to die within a month. Thanks to Chris
           else if(s[m][i] !=9){ /* Should no more exist */          Jackson for correcting this bug.  Former versions increased
             agev[m][i]=(mint[m][i]/12.+1./24.+anint[m][i])-(moisnais[i]/12.+1./24.+annais[i]);          mortality artificially. The bad side is that we add another loop
             if(mint[m][i]==99 || anint[m][i]==9999)          which slows down the processing. The difference can be up to 10%
               agev[m][i]=1;          lower mortality.
             else if(agev[m][i] <agemin){            */
               agemin=agev[m][i];          /* If, at the beginning of the maximization mostly, the
               /*printf(" Min anint[%d][%d]=%.2f annais[%d]=%.2f, agemin=%.2f\n",m,i,anint[m][i], i,annais[i], agemin);*/             cumulative probability or probability to be dead is
             }             constant (ie = 1) over time d, the difference is equal to
             else if(agev[m][i] >agemax){             0.  out[s1][3] = savm[s1][3]: probability, being at state
               agemax=agev[m][i];             s1 at precedent wave, to be dead a month before current
              /* printf(" anint[%d][%d]=%.0f annais[%d]=%.0f, agemax=%.0f\n",m,i,anint[m][i], i,annais[i], agemax);*/             wave is equal to probability, being at state s1 at
             }             precedent wave, to be dead at mont of the current
             /*agev[m][i]=anint[m][i]-annais[i];*/             wave. Then the observed probability (that this person died)
             /*   agev[m][i] = age[i]+2*m;*/             is null according to current estimated parameter. In fact,
           }             it should be very low but not zero otherwise the log go to
           else { /* =9 */             infinity.
             agev[m][i]=1;          */
             s[m][i]=-1;  /* #ifdef INFINITYORIGINAL */
           }  /*          lli=log(out[s1][s2] - savm[s1][s2]); */
         }  /* #else */
         else /*= 0 Unknown */  /*        if ((out[s1][s2] - savm[s1][s2]) < mytinydouble)  */
           agev[m][i]=1;  /*          lli=log(mytinydouble); */
       }  /*        else */
      /*          lli=log(out[s1][s2] - savm[s1][s2]); */
     }  /* #endif */
     for (i=1; i<=imx; i++)  {              lli=log(out[s1][s2] - savm[s1][s2]);
       for(m=1; (m<= maxwav); m++){  
         if (s[m][i] > (nlstate+ndeath)) {          } else if  (s2==-2) {
           printf("Error: Wrong value in nlstate or ndeath\n");              for (j=1,survp=0. ; j<=nlstate; j++) 
           goto end;              survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
         }            /*survp += out[s1][j]; */
       }            lli= log(survp);
     }          }
           
 printf("Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, agemin, agemax);          else if  (s2==-4) { 
             for (j=3,survp=0. ; j<=nlstate; j++)  
     free_vector(severity,1,maxwav);              survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
     free_imatrix(outcome,1,maxwav+1,1,n);            lli= log(survp); 
     free_vector(moisnais,1,n);          } 
     free_vector(annais,1,n);  
     /* free_matrix(mint,1,maxwav,1,n);          else if  (s2==-5) { 
        free_matrix(anint,1,maxwav,1,n);*/            for (j=1,survp=0. ; j<=2; j++)  
     free_vector(moisdc,1,n);              survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
     free_vector(andc,1,n);            lli= log(survp); 
           } 
              
     wav=ivector(1,imx);          else{
     dh=imatrix(1,lastpass-firstpass+1,1,imx);            lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
     mw=imatrix(1,lastpass-firstpass+1,1,imx);            /*  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 */
              } 
     /* Concatenates waves */          /*lli=(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]);*/
       concatwav(wav, dh, mw, s, agedc, agev,  firstpass, lastpass, imx, nlstate, stepm);          /*if(lli ==000.0)*/
           /*printf("bbh= %f lli=%f savm=%f out=%f %d\n",bbh,lli,savm[s1][s2], out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]],i); */
           ipmx +=1;
       Tcode=ivector(1,100);          sw += weight[i];
       nbcode=imatrix(0,NCOVMAX,0,NCOVMAX);          ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
       ncodemax[1]=1;          /* if (lli < log(mytinydouble)){ */
       if (cptcovn > 0) tricode(Tvar,nbcode,imx);          /*   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]); */
    codtab=imatrix(1,100,1,10);          /* } */
    h=0;        } /* end of wave */
    m=pow(2,cptcoveff);      } /* end of individual */
      }  else if(mle==2){
    for(k=1;k<=cptcoveff; k++){      for (i=1,ipmx=0, sw=0.; i<=imx; i++){
      for(i=1; i <=(m/pow(2,k));i++){        for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
        for(j=1; j <= ncodemax[k]; j++){        for(mi=1; mi<= wav[i]-1; mi++){
          for(cpt=1; cpt <=(m/pow(2,cptcoveff+1-k)); cpt++){          for (ii=1;ii<=nlstate+ndeath;ii++)
            h++;            for (j=1;j<=nlstate+ndeath;j++){
            if (h>m) h=1;codtab[h][k]=j;              oldm[ii][j]=(ii==j ? 1.0 : 0.0);
          }              savm[ii][j]=(ii==j ? 1.0 : 0.0);
        }            }
      }          for(d=0; d<=dh[mi][i]; d++){
    }            newm=savm;
                agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
    /* Calculates basic frequencies. Computes observed prevalence at single age            cov[2]=agexact;
        and prints on file fileres'p'. */            if(nagesqr==1)
               cov[3]= agexact*agexact;
                for (kk=1; kk<=cptcovage;kk++) {
                  cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
     pmmij= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */            }
     oldms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
     newms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
     savms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */            savm=oldm;
     oldm=oldms; newm=newms; savm=savms; /* Keeps fixed addresses to free */            oldm=newm;
                } /* end mult */
     /* 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] */          s1=s[mw[mi][i]][i];
     p=param[1][1]; /* *(*(*(param +1)+1)+0) */          s2=s[mw[mi+1][i]][i];
           bbh=(double)bh[mi][i]/(double)stepm; 
     if(mle==1){          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 */
     mlikeli(ficres,p, npar, ncovmodel, nlstate, ftol, func);          ipmx +=1;
     }          sw += weight[i];
              ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
     /*--------- results files --------------*/        } /* end of wave */
     fprintf(ficres,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncov=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\nmodel=%s\n", title, datafile, lastobs, firstpass,lastpass,ftol, stepm, ncov, nlstate, ndeath, maxwav, mle,weightopt,model);      } /* end of individual */
      }  else if(mle==3){  /* exponential inter-extrapolation */
       for (i=1,ipmx=0, sw=0.; i<=imx; i++){
    jk=1;        for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
    fprintf(ficres,"# Parameters\n");        for(mi=1; mi<= wav[i]-1; mi++){
    printf("# Parameters\n");          for (ii=1;ii<=nlstate+ndeath;ii++)
    for(i=1,jk=1; i <=nlstate; i++){            for (j=1;j<=nlstate+ndeath;j++){
      for(k=1; k <=(nlstate+ndeath); k++){              oldm[ii][j]=(ii==j ? 1.0 : 0.0);
        if (k != i)              savm[ii][j]=(ii==j ? 1.0 : 0.0);
          {            }
            printf("%d%d ",i,k);          for(d=0; d<dh[mi][i]; d++){
            fprintf(ficres,"%1d%1d ",i,k);            newm=savm;
            for(j=1; j <=ncovmodel; j++){            agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
              printf("%f ",p[jk]);            cov[2]=agexact;
              fprintf(ficres,"%f ",p[jk]);            if(nagesqr==1)
              jk++;              cov[3]= agexact*agexact;
            }            for (kk=1; kk<=cptcovage;kk++) {
            printf("\n");              cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
            fprintf(ficres,"\n");            }
          }            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
      }                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
    }            savm=oldm;
  if(mle==1){            oldm=newm;
     /* Computing hessian and covariance matrix */          } /* end mult */
     ftolhess=ftol; /* Usually correct */        
     hesscov(matcov, p, npar, delti, ftolhess, func);          s1=s[mw[mi][i]][i];
  }          s2=s[mw[mi+1][i]][i];
     fprintf(ficres,"# Scales\n");          bbh=(double)bh[mi][i]/(double)stepm; 
     printf("# Scales\n");          lli= (savm[s1][s2]>1.e-8 ?(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]):log((1.+bbh)*out[s1][s2])); /* exponential inter-extrapolation */
      for(i=1,jk=1; i <=nlstate; i++){          ipmx +=1;
       for(j=1; j <=nlstate+ndeath; j++){          sw += weight[i];
         if (j!=i) {          ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
           fprintf(ficres,"%1d%1d",i,j);        } /* end of wave */
           printf("%1d%1d",i,j);      } /* end of individual */
           for(k=1; k<=ncovmodel;k++){    }else if (mle==4){  /* ml=4 no inter-extrapolation */
             printf(" %.5e",delti[jk]);      for (i=1,ipmx=0, sw=0.; i<=imx; i++){
             fprintf(ficres," %.5e",delti[jk]);        for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
             jk++;        for(mi=1; mi<= wav[i]-1; mi++){
           }          for (ii=1;ii<=nlstate+ndeath;ii++)
           printf("\n");            for (j=1;j<=nlstate+ndeath;j++){
           fprintf(ficres,"\n");              oldm[ii][j]=(ii==j ? 1.0 : 0.0);
         }              savm[ii][j]=(ii==j ? 1.0 : 0.0);
       }            }
      }          for(d=0; d<dh[mi][i]; d++){
                newm=savm;
     k=1;            agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
     fprintf(ficres,"# Covariance\n");            cov[2]=agexact;
     printf("# Covariance\n");            if(nagesqr==1)
     for(i=1;i<=npar;i++){              cov[3]= agexact*agexact;
       /*  if (k>nlstate) k=1;            for (kk=1; kk<=cptcovage;kk++) {
       i1=(i-1)/(ncovmodel*nlstate)+1;              cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
       fprintf(ficres,"%s%d%d",alph[k],i1,tab[i]);            }
       printf("%s%d%d",alph[k],i1,tab[i]);*/          
       fprintf(ficres,"%3d",i);            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
       printf("%3d",i);                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
       for(j=1; j<=i;j++){            savm=oldm;
         fprintf(ficres," %.5e",matcov[i][j]);            oldm=newm;
         printf(" %.5e",matcov[i][j]);          } /* end mult */
       }        
       fprintf(ficres,"\n");          s1=s[mw[mi][i]][i];
       printf("\n");          s2=s[mw[mi+1][i]][i];
       k++;          if( s2 > nlstate){ 
     }            lli=log(out[s1][s2] - savm[s1][s2]);
              }else{
     while((c=getc(ficpar))=='#' && c!= EOF){            lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
       ungetc(c,ficpar);          }
       fgets(line, MAXLINE, ficpar);          ipmx +=1;
       puts(line);          sw += weight[i];
       fputs(line,ficparo);          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]); */
     ungetc(c,ficpar);        } /* end of wave */
        } /* end of individual */
     fscanf(ficpar,"agemin=%lf agemax=%lf bage=%lf fage=%lf\n",&agemin,&agemax, &bage, &fage);    }else{  /* ml=5 no inter-extrapolation no jackson =0.8a */
          for (i=1,ipmx=0, sw=0.; i<=imx; i++){
     if (fage <= 2) {        for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
       bage = agemin;        for(mi=1; mi<= wav[i]-1; mi++){
       fage = agemax;          for (ii=1;ii<=nlstate+ndeath;ii++)
     }            for (j=1;j<=nlstate+ndeath;j++){
               oldm[ii][j]=(ii==j ? 1.0 : 0.0);
     fprintf(ficres,"# agemin agemax for life expectancy.\n");              savm[ii][j]=(ii==j ? 1.0 : 0.0);
             }
     fprintf(ficres,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f\n",agemin,agemax,bage,fage);          for(d=0; d<dh[mi][i]; d++){
     fprintf(ficparo,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f\n",agemin,agemax,bage,fage);            newm=savm;
              agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
     while((c=getc(ficpar))=='#' && c!= EOF){            cov[2]=agexact;
     ungetc(c,ficpar);            if(nagesqr==1)
     fgets(line, MAXLINE, ficpar);              cov[3]= agexact*agexact;
     puts(line);            for (kk=1; kk<=cptcovage;kk++) {
     fputs(line,ficparo);              cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
   }            }
   ungetc(c,ficpar);          
              out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
   fscanf(ficpar,"begin-prev-date=%lf/%lf/%lf end-prev-date=%lf/%lf/%lf mob_average=%d\n",&jprev1, &mprev1,&anprev1,&jprev2, &mprev2,&anprev2,&mobilav);                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
   fprintf(ficparo,"begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf mob_average=%d\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,mobilav);            savm=oldm;
  fprintf(ficres,"begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf mob_average=%d\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,mobilav);            oldm=newm;
                } /* end mult */
   while((c=getc(ficpar))=='#' && c!= EOF){        
     ungetc(c,ficpar);          s1=s[mw[mi][i]][i];
     fgets(line, MAXLINE, ficpar);          s2=s[mw[mi+1][i]][i];
     puts(line);          lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
     fputs(line,ficparo);          ipmx +=1;
   }          sw += weight[i];
   ungetc(c,ficpar);          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]);*/
         } /* end of wave */
    dateprev1=anprev1+mprev1/12.+jprev1/365.;      } /* end of individual */
    dateprev2=anprev2+mprev2/12.+jprev2/365.;    } /* End of if */
     for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
   fscanf(ficpar,"pop_based=%d\n",&popbased);    /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
    fprintf(ficparo,"pop_based=%d\n",popbased);      l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
    fprintf(ficres,"pop_based=%d\n",popbased);      return -l;
   }
   while((c=getc(ficpar))=='#' && c!= EOF){  
     ungetc(c,ficpar);  /*************** log-likelihood *************/
     fgets(line, MAXLINE, ficpar);  double funcone( double *x)
     puts(line);  {
     fputs(line,ficparo);    /* Same as likeli but slower because of a lot of printf and if */
   }    int i, ii, j, k, mi, d, kk;
   ungetc(c,ficpar);    double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1];
   fscanf(ficpar,"popforecast=%d popfile=%s starting-proj-date=%lf/%lf/%lf final-proj-date=%lf/%lf/%lf\n",&popforecast,popfile,&jproj1,&mproj1,&anproj1,&jproj2,&mproj2,&anproj2);    double **out;
 fprintf(ficparo,"popforecast=%d popfile=%s starting-proj-date=%.lf/%.lf/%.lf final-proj-date=%.lf/%.lf/%.lf\n",popforecast,popfile,jproj1,mproj1,anproj1,jproj2,mproj2,anproj2);    double lli; /* Individual log likelihood */
 fprintf(ficres,"popforecast=%d popfile=%s starting-proj-date=%.lf/%.lf/%.lf final-proj-date=%.lf/%.lf/%.lf\n",popforecast,popfile,jproj1,mproj1,anproj1,jproj2,mproj2,anproj2);    double llt;
     int s1, s2;
  freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvar,nbcode, ncodemax,mint,anint,dateprev1,dateprev2);    double bbh, survp;
     double agexact;
  /*------------ gnuplot -------------*/    /*extern weight */
 chdir(pathcd);    /* We are differentiating ll according to initial status */
   if((ficgp=fopen("graph.plt","w"))==NULL) {    /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
     printf("Problem with file graph.gp");goto end;    /*for(i=1;i<imx;i++) 
   }      printf(" %d\n",s[4][i]);
 #ifdef windows    */
   fprintf(ficgp,"cd \"%s\" \n",pathc);    cov[1]=1.;
 #endif  
 m=pow(2,cptcoveff);    for(k=1; k<=nlstate; k++) ll[k]=0.;
    
  /* 1eme*/    for (i=1,ipmx=0, sw=0.; i<=imx; i++){
   for (cpt=1; cpt<= nlstate ; cpt ++) {      for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
    for (k1=1; k1<= m ; k1 ++) {      for(mi=1; mi<= wav[i]-1; mi++){
         for (ii=1;ii<=nlstate+ndeath;ii++)
 #ifdef windows          for (j=1;j<=nlstate+ndeath;j++){
     fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \nset ter gif small size 400,300\nplot [%.f:%.f] \"vpl%s\" every :::%d::%d u 1:2 \"\%%lf",agemin,fage,fileres,k1-1,k1-1);            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
 #endif            savm[ii][j]=(ii==j ? 1.0 : 0.0);
 #ifdef unix          }
 fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \nplot [%.f:%.f] \"vpl%s\" u 1:2 \"\%%lf",agemin,fage,fileres);        for(d=0; d<dh[mi][i]; d++){
 #endif          newm=savm;
           agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
 for (i=1; i<= nlstate ; i ++) {          cov[2]=agexact;
   if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");          if(nagesqr==1)
   else fprintf(ficgp," \%%*lf (\%%*lf)");            cov[3]= agexact*agexact;
 }          for (kk=1; kk<=cptcovage;kk++) {
     fprintf(ficgp,"\" t\"Stationary prevalence\" w l 0,\"vpl%s\" every :::%d::%d u 1:($2+2*$3) \"\%%lf",fileres,k1-1,k1-1);            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
     for (i=1; i<= nlstate ; i ++) {          }
   if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");  
   else fprintf(ficgp," \%%*lf (\%%*lf)");          /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
 }          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
   fprintf(ficgp,"\" t\"95\%% CI\" w l 1,\"vpl%s\" every :::%d::%d u 1:($2-2*$3) \"\%%lf",fileres,k1-1,k1-1);                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
      for (i=1; i<= nlstate ; i ++) {          /* out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath, */
   if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");          /*           1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate)); */
   else fprintf(ficgp," \%%*lf (\%%*lf)");          savm=oldm;
 }            oldm=newm;
      fprintf(ficgp,"\" t\"\" w l 1,\"p%s\" every :::%d::%d u 1:($%d) t\"Observed prevalence \" w l 2",fileres,k1-1,k1-1,2+4*(cpt-1));        } /* end mult */
 #ifdef unix        
 fprintf(ficgp,"\nset ter gif small size 400,300");        s1=s[mw[mi][i]][i];
 #endif        s2=s[mw[mi+1][i]][i];
 fprintf(ficgp,"\nset out \"v%s%d%d.gif\" \nreplot\n\n",strtok(optionfile, "."),cpt,k1);        bbh=(double)bh[mi][i]/(double)stepm; 
    }        /* bias is positive if real duration
   }         * is higher than the multiple of stepm and negative otherwise.
   /*2 eme*/         */
         if( s2 > nlstate && (mle <5) ){  /* Jackson */
   for (k1=1; k1<= m ; k1 ++) {          lli=log(out[s1][s2] - savm[s1][s2]);
     fprintf(ficgp,"set ylabel \"Years\" \nset ter gif small size 400,300\nplot [%.f:%.f] ",agemin,fage);        } else if  (s2==-2) {
              for (j=1,survp=0. ; j<=nlstate; j++) 
     for (i=1; i<= nlstate+1 ; i ++) {            survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
       k=2*i;          lli= log(survp);
       fprintf(ficgp,"\"t%s\" every :::%d::%d u 1:2 \"\%%lf",fileres,k1-1,k1-1);        }else if (mle==1){
       for (j=1; j<= nlstate+1 ; j ++) {          lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
   if (j==i) fprintf(ficgp," \%%lf (\%%lf)");        } else if(mle==2){
   else fprintf(ficgp," \%%*lf (\%%*lf)");          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 */
       if (i== 1) fprintf(ficgp,"\" t\"TLE\" w l ,");          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 fprintf(ficgp,"\" t\"LE in state (%d)\" w l ,",i-1);        } else if (mle==4){  /* mle=4 no inter-extrapolation */
     fprintf(ficgp,"\"t%s\" every :::%d::%d u 1:($2-$3*2) \"\%%lf",fileres,k1-1,k1-1);          lli=log(out[s1][s2]); /* Original formula */
       for (j=1; j<= nlstate+1 ; j ++) {        } else{  /* mle=0 back to 1 */
         if (j==i) fprintf(ficgp," \%%lf (\%%lf)");          lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
         else fprintf(ficgp," \%%*lf (\%%*lf)");          /*lli=log(out[s1][s2]); */ /* Original formula */
 }          } /* End of if */
       fprintf(ficgp,"\" t\"\" w l 0,");        ipmx +=1;
      fprintf(ficgp,"\"t%s\" every :::%d::%d u 1:($2+$3*2) \"\%%lf",fileres,k1-1,k1-1);        sw += weight[i];
       for (j=1; j<= nlstate+1 ; j ++) {        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
   if (j==i) fprintf(ficgp," \%%lf (\%%lf)");        /*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 fprintf(ficgp," \%%*lf (\%%*lf)");        if(globpr){
 }            fprintf(ficresilk,"%9ld %6d %2d %2d %1d %1d %3d %11.6f %8.4f\
       if (i== (nlstate+1)) fprintf(ficgp,"\" t\"\" w l 0");   %11.6f %11.6f %11.6f ", \
       else fprintf(ficgp,"\" t\"\" w l 0,");                  num[i],i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],
     }                  2*weight[i]*lli,out[s1][s2],savm[s1][s2]);
     fprintf(ficgp,"\nset out \"e%s%d.gif\" \nreplot\n\n",strtok(optionfile, "."),k1);          for(k=1,llt=0.,l=0.; k<=nlstate; k++){
   }            llt +=ll[k]*gipmx/gsw;
              fprintf(ficresilk," %10.6f",-ll[k]*gipmx/gsw);
   /*3eme*/          }
           fprintf(ficresilk," %10.6f\n", -llt);
   for (k1=1; k1<= m ; k1 ++) {        }
     for (cpt=1; cpt<= nlstate ; cpt ++) {      } /* end of wave */
       k=2+nlstate*(cpt-1);    } /* end of individual */
       fprintf(ficgp,"set ter gif small size 400,300\nplot [%.f:%.f] \"e%s\" every :::%d::%d u 1:%d t \"e%d1\" w l",agemin,fage,fileres,k1-1,k1-1,k,cpt);    for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
       for (i=1; i< nlstate ; i ++) {    /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
         fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:%d t \"e%d%d\" w l",fileres,k1-1,k1-1,k+i,cpt,i+1);    l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
       }    if(globpr==0){ /* First time we count the contributions and weights */
       fprintf(ficgp,"\nset out \"exp%s%d%d.gif\" \nreplot\n\n",strtok(optionfile, "."),cpt,k1);      gipmx=ipmx;
     }      gsw=sw;
   }    }
      return -l;
   /* CV preval stat */  }
   for (k1=1; k1<= m ; k1 ++) {  
     for (cpt=1; cpt<nlstate ; cpt ++) {  
       k=3;  /*************** function likelione ***********/
       fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \nset ter gif small size 400,300\nplot [%.f:%.f] \"pij%s\" u ($1==%d ? ($3):1/0):($%d/($%d",agemin,agemax,fileres,k1,k+cpt+1,k+1);  void likelione(FILE *ficres,double p[], int npar, int nlstate, int *globpri, long *ipmx, double *sw, double *fretone, double (*funcone)(double []))
       for (i=1; i< nlstate ; i ++)  {
         fprintf(ficgp,"+$%d",k+i+1);    /* This routine should help understanding what is done with 
       fprintf(ficgp,")) t\"prev(%d,%d)\" w l",cpt,cpt+1);       the selection of individuals/waves and
             to check the exact contribution to the likelihood.
       l=3+(nlstate+ndeath)*cpt;       Plotting could be done.
       fprintf(ficgp,",\"pij%s\" u ($1==%d ? ($3):1/0):($%d/($%d",fileres,k1,l+cpt+1,l+1);     */
       for (i=1; i< nlstate ; i ++) {    int k;
         l=3+(nlstate+ndeath)*cpt;  
         fprintf(ficgp,"+$%d",l+i+1);    if(*globpri !=0){ /* Just counts and sums, no printings */
       }      strcpy(fileresilk,"ilk"); 
       fprintf(ficgp,")) t\"prev(%d,%d)\" w l\n",cpt+1,cpt+1);        strcat(fileresilk,fileres);
       fprintf(ficgp,"set out \"p%s%d%d.gif\" \nreplot\n\n",strtok(optionfile, "."),cpt,k1);      if((ficresilk=fopen(fileresilk,"w"))==NULL) {
     }        printf("Problem with resultfile: %s\n", fileresilk);
   }          fprintf(ficlog,"Problem with resultfile: %s\n", fileresilk);
       }
   /* proba elementaires */      fprintf(ficresilk, "#individual(line's_record) s1 s2 wave# effective_wave# number_of_matrices_product pij weight -2ln(pij)*weight 0pij_x 0pij_(x-stepm) cumulating_loglikeli_by_health_state(reweighted=-2ll*weightXnumber_of_contribs/sum_of_weights) and_total\n");
    for(i=1,jk=1; i <=nlstate; i++){      fprintf(ficresilk, "#num_i i s1 s2 mi mw dh likeli weight 2wlli out sav ");
     for(k=1; k <=(nlstate+ndeath); k++){      /*  i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],2*weight[i]*lli,out[s1][s2],savm[s1][s2]); */
       if (k != i) {      for(k=1; k<=nlstate; k++) 
         for(j=1; j <=ncovmodel; j++){        fprintf(ficresilk," -2*gipw/gsw*weight*ll[%d]++",k);
           /*fprintf(ficgp,"%s%1d%1d=%f ",alph[j],i,k,p[jk]);*/      fprintf(ficresilk," -2*gipw/gsw*weight*ll(total)\n");
           /*fprintf(ficgp,"%s",alph[1]);*/    }
           fprintf(ficgp,"p%d=%f ",jk,p[jk]);  
           jk++;    *fretone=(*funcone)(p);
           fprintf(ficgp,"\n");    if(*globpri !=0){
         }      fclose(ficresilk);
       }      fprintf(fichtm,"\n<br>File of contributions to the likelihood: <a href=\"%s\">%s</a><br>\n",subdirf(fileresilk),subdirf(fileresilk));
     }      fflush(fichtm); 
     }    } 
     return;
   for(jk=1; jk <=m; jk++) {  }
   fprintf(ficgp,"\nset ter gif small size 400,300\nset log y\nplot  [%.f:%.f] ",agemin,agemax);  
    i=1;  
    for(k2=1; k2<=nlstate; k2++) {  /*********** Maximum Likelihood Estimation ***************/
      k3=i;  
      for(k=1; k<=(nlstate+ndeath); k++) {  void mlikeli(FILE *ficres,double p[], int npar, int ncovmodel, int nlstate, double ftol, double (*func)(double []))
        if (k != k2){  {
         fprintf(ficgp," exp(p%d+p%d*x",i,i+1);    int i,j, iter=0;
 ij=1;    double **xi;
         for(j=3; j <=ncovmodel; j++) {    double fret;
           if(((j-2)==Tage[ij]) &&(ij <=cptcovage)) {    double fretone; /* Only one call to likelihood */
             fprintf(ficgp,"+p%d*%d*x",i+j-1,nbcode[Tvar[j-2]][codtab[jk][Tvar[j-2]]]);    /*  char filerespow[FILENAMELENGTH];*/
             ij++;  
           }  #ifdef NLOPT
           else    int creturn;
           fprintf(ficgp,"+p%d*%d",i+j-1,nbcode[Tvar[j-2]][codtab[jk][j-2]]);    nlopt_opt opt;
         }    /* double lb[9] = { -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL }; /\* lower bounds *\/ */
           fprintf(ficgp,")/(1");    double *lb;
            double minf; /* the minimum objective value, upon return */
         for(k1=1; k1 <=nlstate; k1++){      double * p1; /* Shifted parameters from 0 instead of 1 */
           fprintf(ficgp,"+exp(p%d+p%d*x",k3+(k1-1)*ncovmodel,k3+(k1-1)*ncovmodel+1);    myfunc_data dinst, *d = &dinst;
 ij=1;  #endif
           for(j=3; j <=ncovmodel; j++){  
           if(((j-2)==Tage[ij]) &&(ij <=cptcovage)) {  
             fprintf(ficgp,"+p%d*%d*x",k3+(k1-1)*ncovmodel+1+j-2,nbcode[Tvar[j-2]][codtab[jk][Tvar[j-2]]]);    xi=matrix(1,npar,1,npar);
             ij++;    for (i=1;i<=npar;i++)
           }      for (j=1;j<=npar;j++)
           else        xi[i][j]=(i==j ? 1.0 : 0.0);
             fprintf(ficgp,"+p%d*%d",k3+(k1-1)*ncovmodel+1+j-2,nbcode[Tvar[j-2]][codtab[jk][j-2]]);    printf("Powell\n");  fprintf(ficlog,"Powell\n");
           }    strcpy(filerespow,"pow"); 
           fprintf(ficgp,")");    strcat(filerespow,fileres);
         }    if((ficrespow=fopen(filerespow,"w"))==NULL) {
         fprintf(ficgp,") t \"p%d%d\" ", k2,k);      printf("Problem with resultfile: %s\n", filerespow);
         if ((k+k2)!= (nlstate*2+ndeath)) fprintf(ficgp,",");      fprintf(ficlog,"Problem with resultfile: %s\n", filerespow);
         i=i+ncovmodel;    }
        }    fprintf(ficrespow,"# Powell\n# iter -2*LL");
      }    for (i=1;i<=nlstate;i++)
    }      for(j=1;j<=nlstate+ndeath;j++)
    fprintf(ficgp,"\nset out \"pe%s%d.gif\" \nreplot\n\n",strtok(optionfile, "."),jk);        if(j!=i)fprintf(ficrespow," p%1d%1d",i,j);
   }    fprintf(ficrespow,"\n");
      #ifdef POWELL
   fclose(ficgp);    powell(p,xi,npar,ftol,&iter,&fret,func);
   /* end gnuplot */  #endif
      
 chdir(path);  #ifdef NLOPT
      #ifdef NEWUOA
     free_ivector(wav,1,imx);    opt = nlopt_create(NLOPT_LN_NEWUOA,npar);
     free_imatrix(dh,1,lastpass-firstpass+1,1,imx);  #else
     free_imatrix(mw,1,lastpass-firstpass+1,1,imx);      opt = nlopt_create(NLOPT_LN_BOBYQA,npar);
     free_ivector(num,1,n);  #endif
     free_vector(agedc,1,n);    lb=vector(0,npar-1);
     /*free_matrix(covar,1,NCOVMAX,1,n);*/    for (i=0;i<npar;i++) lb[i]= -HUGE_VAL;
     fclose(ficparo);    nlopt_set_lower_bounds(opt, lb);
     fclose(ficres);    nlopt_set_initial_step1(opt, 0.1);
     /*  }*/    
        p1= (p+1); /*  p *(p+1)@8 and p *(p1)@8 are equal p1[0]=p[1] */
    /*________fin mle=1_________*/    d->function = func;
        printf(" Func %.12lf \n",myfunc(npar,p1,NULL,d));
     nlopt_set_min_objective(opt, myfunc, d);
      nlopt_set_xtol_rel(opt, ftol);
     /* No more information from the sample is required now */    if ((creturn=nlopt_optimize(opt, p1, &minf)) < 0) {
   /* Reads comments: lines beginning with '#' */      printf("nlopt failed! %d\n",creturn); 
   while((c=getc(ficpar))=='#' && c!= EOF){    }
     ungetc(c,ficpar);    else {
     fgets(line, MAXLINE, ficpar);      printf("found minimum after %d evaluations (NLOPT=%d)\n", countcallfunc ,NLOPT);
     puts(line);      printf("found minimum at f(%g,%g) = %0.10g\n", p[0], p[1], minf);
     fputs(line,ficparo);      iter=1; /* not equal */
   }    }
   ungetc(c,ficpar);    nlopt_destroy(opt);
    #endif
   fscanf(ficpar,"agemin=%lf agemax=%lf bage=%lf fage=%lf\n",&agemin,&agemax, &bage, &fage);    free_matrix(xi,1,npar,1,npar);
   printf("agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f\n",agemin,agemax, bage, fage);    fclose(ficrespow);
   fprintf(ficparo,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f\n",agemin,agemax,bage,fage);    printf("#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
 /*--------- index.htm --------*/    fprintf(ficlog,"#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
     fprintf(ficres,"#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
   strcpy(optionfilehtm,optionfile);  
   strcat(optionfilehtm,".htm");  }
   if((fichtm=fopen(optionfilehtm,"w"))==NULL)    {  
     printf("Problem with %s \n",optionfilehtm);goto end;  /**** Computes Hessian and covariance matrix ***/
   }  void hesscov(double **matcov, double p[], int npar, double delti[], double ftolhess, double (*func)(double []))
   {
  fprintf(fichtm,"<body><ul> <font size=\"6\">Imach, Version 0.7 </font> <hr size=\"2\" color=\"#EC5E5E\">    double  **a,**y,*x,pd;
 Titre=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=%s<br>    double **hess;
 Total number of observations=%d <br>    int i, j;
 Interval (in months) between two waves: Min=%d Max=%d Mean=%.2lf<br>    int *indx;
 <hr  size=\"2\" color=\"#EC5E5E\">  
 <li>Outputs files<br><br>\n    double hessii(double p[], double delta, int theta, double delti[],double (*func)(double []),int npar);
         - Observed prevalence in each state: <a href=\"p%s\">p%s</a> <br>\n    double hessij(double p[], double delti[], int i, int j,double (*func)(double []),int npar);
 - Estimated parameters and the covariance matrix: <a href=\"%s\">%s</a> <br>    void lubksb(double **a, int npar, int *indx, double b[]) ;
         - Stationary prevalence in each state: <a href=\"pl%s\">pl%s</a> <br>    void ludcmp(double **a, int npar, int *indx, double *d) ;
         - Transition probabilities: <a href=\"pij%s\">pij%s</a><br>    double gompertz(double p[]);
         - Copy of the parameter file: <a href=\"o%s\">o%s</a><br>    hess=matrix(1,npar,1,npar);
         - Life expectancies by age and initial health status: <a href=\"e%s\">e%s</a> <br>  
         - Variances of life expectancies by age and initial health status: <a href=\"v%s\">v%s</a><br>    printf("\nCalculation of the hessian matrix. Wait...\n");
         - Health expectancies with their variances: <a href=\"t%s\">t%s</a> <br>    fprintf(ficlog,"\nCalculation of the hessian matrix. Wait...\n");
         - Standard deviation of stationary prevalences: <a href=\"vpl%s\">vpl%s</a> <br>    for (i=1;i<=npar;i++){
         - Prevalences and population forecasting: <a href=\"f%s\">f%s</a> <br>      printf("%d",i);fflush(stdout);
 <br>",title,datafile,firstpass,lastpass,stepm, weightopt,model,imx,jmin,jmax,jmean,fileres,fileres,fileres,fileres,fileres,fileres,fileres,fileres,fileres,fileres,fileres,fileres,fileres,fileres,fileres,fileres,fileres,fileres,fileres,fileres);      fprintf(ficlog,"%d",i);fflush(ficlog);
      
  fprintf(fichtm," <li>Graphs</li><p>");       hess[i][i]=hessii(p,ftolhess,i,delti,func,npar);
       
  m=cptcoveff;      /*  printf(" %f ",p[i]);
  if (cptcovn < 1) {m=1;ncodemax[1]=1;}          printf(" %lf %lf %lf",hess[i][i],ftolhess,delti[i]);*/
     }
  j1=0;    
  for(k1=1; k1<=m;k1++){    for (i=1;i<=npar;i++) {
    for(i1=1; i1<=ncodemax[k1];i1++){      for (j=1;j<=npar;j++)  {
        j1++;        if (j>i) { 
        if (cptcovn > 0) {          printf(".%d%d",i,j);fflush(stdout);
          fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");          fprintf(ficlog,".%d%d",i,j);fflush(ficlog);
          for (cpt=1; cpt<=cptcoveff;cpt++)          hess[i][j]=hessij(p,delti,i,j,func,npar);
            fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtab[j1][cpt]]);          
          fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");          hess[j][i]=hess[i][j];    
        }          /*printf(" %lf ",hess[i][j]);*/
        fprintf(fichtm,"<br>- Probabilities: pe%s%d.gif<br>        }
 <img src=\"pe%s%d.gif\">",strtok(optionfile, "."),j1,strtok(optionfile, "."),j1);          }
        for(cpt=1; cpt<nlstate;cpt++){    }
          fprintf(fichtm,"<br>- Prevalence of disability : p%s%d%d.gif<br>    printf("\n");
 <img src=\"p%s%d%d.gif\">",strtok(optionfile, "."),cpt,j1,strtok(optionfile, "."),cpt,j1);    fprintf(ficlog,"\n");
        }  
     for(cpt=1; cpt<=nlstate;cpt++) {    printf("\nInverting the hessian to get the covariance matrix. Wait...\n");
        fprintf(fichtm,"<br>- Observed and stationary prevalence (with confident    fprintf(ficlog,"\nInverting the hessian to get the covariance matrix. Wait...\n");
 interval) in state (%d): v%s%d%d.gif <br>    
 <img src=\"v%s%d%d.gif\">",cpt,strtok(optionfile, "."),cpt,j1,strtok(optionfile, "."),cpt,j1);      a=matrix(1,npar,1,npar);
      }    y=matrix(1,npar,1,npar);
      for(cpt=1; cpt<=nlstate;cpt++) {    x=vector(1,npar);
         fprintf(fichtm,"\n<br>- Health life expectancies by age and initial health state (%d): exp%s%d%d.gif <br>    indx=ivector(1,npar);
 <img src=\"exp%s%d%d.gif\">",cpt,strtok(optionfile, "."),cpt,j1,strtok(optionfile, "."),cpt,j1);    for (i=1;i<=npar;i++)
      }      for (j=1;j<=npar;j++) a[i][j]=hess[i][j];
      fprintf(fichtm,"\n<br>- Total life expectancy by age and    ludcmp(a,npar,indx,&pd);
 health expectancies in states (1) and (2): e%s%d.gif<br>  
 <img src=\"e%s%d.gif\">",strtok(optionfile, "."),j1,strtok(optionfile, "."),j1);    for (j=1;j<=npar;j++) {
 fprintf(fichtm,"\n</body>");      for (i=1;i<=npar;i++) x[i]=0;
    }      x[j]=1;
  }      lubksb(a,npar,indx,x);
 fclose(fichtm);      for (i=1;i<=npar;i++){ 
         matcov[i][j]=x[i];
   /*--------------- Prevalence limit --------------*/      }
      }
   strcpy(filerespl,"pl");  
   strcat(filerespl,fileres);    printf("\n#Hessian matrix#\n");
   if((ficrespl=fopen(filerespl,"w"))==NULL) {    fprintf(ficlog,"\n#Hessian matrix#\n");
     printf("Problem with Prev limit resultfile: %s\n", filerespl);goto end;    for (i=1;i<=npar;i++) { 
   }      for (j=1;j<=npar;j++) { 
   printf("Computing prevalence limit: result on file '%s' \n", filerespl);        printf("%.3e ",hess[i][j]);
   fprintf(ficrespl,"#Prevalence limit\n");        fprintf(ficlog,"%.3e ",hess[i][j]);
   fprintf(ficrespl,"#Age ");      }
   for(i=1; i<=nlstate;i++) fprintf(ficrespl,"%d-%d ",i,i);      printf("\n");
   fprintf(ficrespl,"\n");      fprintf(ficlog,"\n");
      }
   prlim=matrix(1,nlstate,1,nlstate);  
   pmmij= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */    /* Recompute Inverse */
   oldms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */    for (i=1;i<=npar;i++)
   newms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */      for (j=1;j<=npar;j++) a[i][j]=matcov[i][j];
   savms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */    ludcmp(a,npar,indx,&pd);
   oldm=oldms; newm=newms; savm=savms; /* Keeps fixed addresses to free */  
   k=0;    /*  printf("\n#Hessian matrix recomputed#\n");
   agebase=agemin;  
   agelim=agemax;    for (j=1;j<=npar;j++) {
   ftolpl=1.e-10;      for (i=1;i<=npar;i++) x[i]=0;
   i1=cptcoveff;      x[j]=1;
   if (cptcovn < 1){i1=1;}      lubksb(a,npar,indx,x);
       for (i=1;i<=npar;i++){ 
   for(cptcov=1;cptcov<=i1;cptcov++){        y[i][j]=x[i];
     for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){        printf("%.3e ",y[i][j]);
         k=k+1;        fprintf(ficlog,"%.3e ",y[i][j]);
         /*printf("cptcov=%d cptcod=%d codtab=%d nbcode=%d\n",cptcov, cptcod,Tcode[cptcode],codtab[cptcod][cptcov]);*/      }
         fprintf(ficrespl,"\n#******");      printf("\n");
         for(j=1;j<=cptcoveff;j++)      fprintf(ficlog,"\n");
           fprintf(ficrespl," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);    }
         fprintf(ficrespl,"******\n");    */
          
         for (age=agebase; age<=agelim; age++){    free_matrix(a,1,npar,1,npar);
           prevalim(prlim, nlstate, p, age, oldm, savm,ftolpl,k);    free_matrix(y,1,npar,1,npar);
           fprintf(ficrespl,"%.0f",age );    free_vector(x,1,npar);
           for(i=1; i<=nlstate;i++)    free_ivector(indx,1,npar);
           fprintf(ficrespl," %.5f", prlim[i][i]);    free_matrix(hess,1,npar,1,npar);
           fprintf(ficrespl,"\n");  
         }  
       }  }
     }  
   fclose(ficrespl);  /*************** hessian matrix ****************/
   double hessii(double x[], double delta, int theta, double delti[], double (*func)(double []), int npar)
   /*------------- h Pij x at various ages ------------*/  {
      int i;
   strcpy(filerespij,"pij");  strcat(filerespij,fileres);    int l=1, lmax=20;
   if((ficrespij=fopen(filerespij,"w"))==NULL) {    double k1,k2;
     printf("Problem with Pij resultfile: %s\n", filerespij);goto end;    double p2[MAXPARM+1]; /* identical to x */
   }    double res;
   printf("Computing pij: result on file '%s' \n", filerespij);    double delt=0.0001, delts, nkhi=10.,nkhif=1., khi=1.e-4;
      double fx;
   stepsize=(int) (stepm+YEARM-1)/YEARM;    int k=0,kmax=10;
   /*if (stepm<=24) stepsize=2;*/    double l1;
   
   agelim=AGESUP;    fx=func(x);
   hstepm=stepsize*YEARM; /* Every year of age */    for (i=1;i<=npar;i++) p2[i]=x[i];
   hstepm=hstepm/stepm; /* Typically 2 years, = 2/6 months = 4 */    for(l=0 ; l <=lmax; l++){  /* Enlarging the zone around the Maximum */
        l1=pow(10,l);
   k=0;      delts=delt;
   for(cptcov=1;cptcov<=i1;cptcov++){      for(k=1 ; k <kmax; k=k+1){
     for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){        delt = delta*(l1*k);
       k=k+1;        p2[theta]=x[theta] +delt;
         fprintf(ficrespij,"\n#****** ");        k1=func(p2)-fx;   /* Might be negative if too close to the theoretical maximum */
         for(j=1;j<=cptcoveff;j++)        p2[theta]=x[theta]-delt;
           fprintf(ficrespij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);        k2=func(p2)-fx;
         fprintf(ficrespij,"******\n");        /*res= (k1-2.0*fx+k2)/delt/delt; */
                res= (k1+k2)/delt/delt/2.; /* Divided by because L and not 2*L */
         for (agedeb=fage; agedeb>=bage; agedeb--){ /* If stepm=6 months */        
           nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */  #ifdef DEBUGHESS
           nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */        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);
           p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);        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);
           oldm=oldms;savm=savms;  #endif
           hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);          /*if(fabs(k1-2.0*fx+k2) <1.e-13){ */
           fprintf(ficrespij,"# Age");        if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)){
           for(i=1; i<=nlstate;i++)          k=kmax;
             for(j=1; j<=nlstate+ndeath;j++)        }
               fprintf(ficrespij," %1d-%1d",i,j);        else if((k1 >khi/nkhif) || (k2 >khi/nkhif)){ /* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. */
           fprintf(ficrespij,"\n");          k=kmax; l=lmax*10;
           for (h=0; h<=nhstepm; h++){        }
             fprintf(ficrespij,"%d %.0f %.0f",k,agedeb, agedeb+ h*hstepm/YEARM*stepm );        else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){ 
             for(i=1; i<=nlstate;i++)          delts=delt;
               for(j=1; j<=nlstate+ndeath;j++)        }
                 fprintf(ficrespij," %.5f", p3mat[i][j][h]);      }
             fprintf(ficrespij,"\n");    }
           }    delti[theta]=delts;
           free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);    return res; 
           fprintf(ficrespij,"\n");    
         }  }
     }  
   }  double hessij( double x[], double delti[], int thetai,int thetaj,double (*func)(double []),int npar)
   {
   /* varprob(fileres, matcov, p, delti, nlstate, (int) bage, (int) fage,k);*/    int i;
     int l=1, lmax=20;
   fclose(ficrespij);    double k1,k2,k3,k4,res,fx;
     double p2[MAXPARM+1];
   if(stepm == 1) {    int k;
   /*---------- Forecasting ------------------*/  
   calagedate=(anproj1+mproj1/12.+jproj1/365.-dateintmean)*YEARM;    fx=func(x);
     for (k=1; k<=2; k++) {
   /*printf("calage= %f", calagedate);*/      for (i=1;i<=npar;i++) p2[i]=x[i];
        p2[thetai]=x[thetai]+delti[thetai]/k;
   prevalence(agemin, agemax, s, agev, nlstate, imx,Tvar,nbcode, ncodemax,mint,anint,dateprev1,dateprev2, calagedate);      p2[thetaj]=x[thetaj]+delti[thetaj]/k;
       k1=func(p2)-fx;
     
   strcpy(fileresf,"f");      p2[thetai]=x[thetai]+delti[thetai]/k;
   strcat(fileresf,fileres);      p2[thetaj]=x[thetaj]-delti[thetaj]/k;
   if((ficresf=fopen(fileresf,"w"))==NULL) {      k2=func(p2)-fx;
     printf("Problem with forecast resultfile: %s\n", fileresf);goto end;    
   }      p2[thetai]=x[thetai]-delti[thetai]/k;
   printf("Computing forecasting: result on file '%s' \n", fileresf);      p2[thetaj]=x[thetaj]+delti[thetaj]/k;
       k3=func(p2)-fx;
   free_matrix(mint,1,maxwav,1,n);    
   free_matrix(anint,1,maxwav,1,n);      p2[thetai]=x[thetai]-delti[thetai]/k;
   free_matrix(agev,1,maxwav,1,imx);      p2[thetaj]=x[thetaj]-delti[thetaj]/k;
   /* Mobile average */      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 (cptcoveff==0) ncodemax[cptcoveff]=1;  #ifdef DEBUG
       printf("%d %d k=%d, k1=%.12e k2=%.12e k3=%.12e k4=%.12e delti/k=%.12e deltj/k=%.12e, xi-de/k=%.12e xj-de/k=%.12e  res=%.12e k1234=%.12e,k1-2=%.12e,k3-4=%.12e\n",thetai,thetaj,k,k1,k2,k3,k4,delti[thetai]/k,delti[thetaj]/k,x[thetai]-delti[thetai]/k,x[thetaj]-delti[thetaj]/k, res,k1-k2-k3+k4,k1-k2,k3-k4);
   if (mobilav==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);
     mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);  #endif
     for (agedeb=bage+3; agedeb<=fage-2; agedeb++)    }
       for (i=1; i<=nlstate;i++)    return res;
         for (cptcod=1;cptcod<=ncodemax[cptcov];cptcod++)  }
           mobaverage[(int)agedeb][i][cptcod]=0.;  
      /************** Inverse of matrix **************/
     for (agedeb=bage+4; agedeb<=fage; agedeb++){  void ludcmp(double **a, int n, int *indx, double *d) 
       for (i=1; i<=nlstate;i++){  { 
         for (cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){    int i,imax,j,k; 
           for (cpt=0;cpt<=4;cpt++){    double big,dum,sum,temp; 
             mobaverage[(int)agedeb-2][i][cptcod]=mobaverage[(int)agedeb-2][i][cptcod]+probs[(int)agedeb-cpt][i][cptcod];    double *vv; 
           }   
           mobaverage[(int)agedeb-2][i][cptcod]=mobaverage[(int)agedeb-2][i][cptcod]/5;    vv=vector(1,n); 
         }    *d=1.0; 
       }    for (i=1;i<=n;i++) { 
     }        big=0.0; 
   }      for (j=1;j<=n;j++) 
         if ((temp=fabs(a[i][j])) > big) big=temp; 
   stepsize=(int) (stepm+YEARM-1)/YEARM;      if (big == 0.0) nrerror("Singular matrix in routine ludcmp"); 
   if (stepm<=12) stepsize=1;      vv[i]=1.0/big; 
     } 
   agelim=AGESUP;    for (j=1;j<=n;j++) { 
   /*hstepm=stepsize*YEARM; *//* Every year of age */      for (i=1;i<j;i++) { 
   hstepm=1;        sum=a[i][j]; 
   hstepm=hstepm/stepm; /* Typically 2 years, = 2 years/6 months = 4 */        for (k=1;k<i;k++) sum -= a[i][k]*a[k][j]; 
   yp1=modf(dateintmean,&yp);        a[i][j]=sum; 
   anprojmean=yp;      } 
   yp2=modf((yp1*12),&yp);      big=0.0; 
   mprojmean=yp;      for (i=j;i<=n;i++) { 
   yp1=modf((yp2*30.5),&yp);        sum=a[i][j]; 
   jprojmean=yp;        for (k=1;k<j;k++) 
   if(jprojmean==0) jprojmean=1;          sum -= a[i][k]*a[k][j]; 
   if(mprojmean==0) jprojmean=1;        a[i][j]=sum; 
         if ( (dum=vv[i]*fabs(sum)) >= big) { 
   fprintf(ficresf,"# Estimated date of observed prevalence: %.lf/%.lf/%.lf ",jprojmean,mprojmean,anprojmean);          big=dum; 
           imax=i; 
   if (popforecast==1) {        } 
     if((ficpop=fopen(popfile,"r"))==NULL)    {      } 
       printf("Problem with population file : %s\n",popfile);goto end;      if (j != imax) { 
     }        for (k=1;k<=n;k++) { 
     popage=ivector(0,AGESUP);          dum=a[imax][k]; 
     popeffectif=vector(0,AGESUP);          a[imax][k]=a[j][k]; 
     popcount=vector(0,AGESUP);          a[j][k]=dum; 
         } 
     i=1;          *d = -(*d); 
     while ((c=fscanf(ficpop,"%d %lf\n",&popage[i],&popcount[i])) != EOF)        vv[imax]=vv[j]; 
       {      } 
         i=i+1;      indx[j]=imax; 
       }      if (a[j][j] == 0.0) a[j][j]=TINY; 
     imx=i;      if (j != n) { 
            dum=1.0/(a[j][j]); 
     for (i=1; i<imx;i++) popeffectif[popage[i]]=popcount[i];        for (i=j+1;i<=n;i++) a[i][j] *= dum; 
   }      } 
     } 
   for(cptcov=1;cptcov<=i1;cptcov++){    free_vector(vv,1,n);  /* Doesn't work */
     for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){  ;
       k=k+1;  } 
       fprintf(ficresf,"\n#******");  
       for(j=1;j<=cptcoveff;j++) {  void lubksb(double **a, int n, int *indx, double b[]) 
         fprintf(ficresf," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);  { 
       }    int i,ii=0,ip,j; 
       fprintf(ficresf,"******\n");    double sum; 
       fprintf(ficresf,"# StartingAge FinalAge");   
       for(j=1; j<=nlstate+ndeath;j++) fprintf(ficresf," P.%d",j);    for (i=1;i<=n;i++) { 
       if (popforecast==1)  fprintf(ficresf," [Population]");      ip=indx[i]; 
          sum=b[ip]; 
       for (cpt=0; cpt<4;cpt++) {      b[ip]=b[i]; 
         fprintf(ficresf,"\n");      if (ii) 
         fprintf(ficresf,"\n# Forecasting at date %.lf/%.lf/%.lf ",jproj1,mproj1,anproj1+cpt);          for (j=ii;j<=i-1;j++) sum -= a[i][j]*b[j]; 
       else if (sum) ii=i; 
         for (agedeb=(fage-((int)calagedate %12/12.)); agedeb>=(bage-((int)calagedate %12)/12.); agedeb--){ /* If stepm=6 months */      b[i]=sum; 
         nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm);    } 
         nhstepm = nhstepm/hstepm;    for (i=n;i>=1;i--) { 
         /*printf("agedeb=%.lf stepm=%d hstepm=%d nhstepm=%d \n",agedeb,stepm,hstepm,nhstepm);*/      sum=b[i]; 
       for (j=i+1;j<=n;j++) sum -= a[i][j]*b[j]; 
         p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);      b[i]=sum/a[i][i]; 
         oldm=oldms;savm=savms;    } 
         hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);    } 
          
         for (h=0; h<=nhstepm; h++){  void pstamp(FILE *fichier)
           if (h==(int) (calagedate+YEARM*cpt)) {  {
             fprintf(ficresf,"\n %.f ",agedeb+h*hstepm/YEARM*stepm);    fprintf(fichier,"# %s.%s\n#IMaCh version %s, %s\n#%s\n# %s", optionfilefiname,optionfilext,version,copyright, fullversion, strstart);
           }  }
           for(j=1; j<=nlstate+ndeath;j++) {  
             kk1=0.;kk2=0;  /************ Frequencies ********************/
             for(i=1; i<=nlstate;i++) {          void  freqsummary(char fileres[], int iagemin, int iagemax, int **s, double **agev, int nlstate, int imx, int *Tvaraff, int **nbcode, int *ncodemax,double **mint,double **anint, char strstart[])
               if (mobilav==1)  {  /* Some frequencies */
                 kk1=kk1+p3mat[i][j][h]*mobaverage[(int)agedeb+1][i][cptcod];    
               else {    int i, m, jk, j1, bool, z1,j;
                 kk1=kk1+p3mat[i][j][h]*probs[(int)(agedeb+1)][i][cptcod];    int first;
                 /* fprintf(ficresf," p3=%.3f p=%.3f ", p3mat[i][j][h], probs[(int)(agedeb)+1][i][cptcod]);*/    double ***freq; /* Frequencies */
               }    double *pp, **prop;
     double pos,posprop, k2, dateintsum=0,k2cpt=0;
               if (popforecast==1) kk2=kk1*popeffectif[(int)agedeb];    char fileresp[FILENAMELENGTH];
             }    
              pp=vector(1,nlstate);
             if (h==(int)(calagedate+12*cpt)){    prop=matrix(1,nlstate,iagemin,iagemax+3);
               fprintf(ficresf," %.3f", kk1);    strcpy(fileresp,"p");
                  strcat(fileresp,fileres);
               if (popforecast==1) fprintf(ficresf," [%.f]", kk2);    if((ficresp=fopen(fileresp,"w"))==NULL) {
             }      printf("Problem with prevalence resultfile: %s\n", fileresp);
           }      fprintf(ficlog,"Problem with prevalence resultfile: %s\n", fileresp);
         }      exit(0);
         free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);    }
       }    freq= ma3x(-5,nlstate+ndeath,-5,nlstate+ndeath,iagemin,iagemax+3);
       }    j1=0;
     }    
   }    j=cptcoveff;
   if (mobilav==1) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);    if (cptcovn<1) {j=1;ncodemax[1]=1;}
   if (popforecast==1) {  
     free_ivector(popage,0,AGESUP);    first=1;
     free_vector(popeffectif,0,AGESUP);  
     free_vector(popcount,0,AGESUP);    /* for(k1=1; k1<=j ; k1++){ */  /* Loop on covariates */
   }    /*  for(i1=1; i1<=ncodemax[k1];i1++){ */ /* Now it is 2 */
   free_imatrix(s,1,maxwav+1,1,n);    /*    j1++; */
   free_vector(weight,1,n);    for (j1 = 1; j1 <= (int) pow(2,cptcoveff); j1++){
   fclose(ficresf);        /*printf("cptcoveff=%d Tvaraff=%d", cptcoveff,Tvaraff[1]);
   }/* End forecasting */          scanf("%d", i);*/
   else{        for (i=-5; i<=nlstate+ndeath; i++)  
     erreur=108;          for (jk=-5; jk<=nlstate+ndeath; jk++)  
     printf("Error %d!! You can only forecast the prevalences if the optimization\n  has been performed with stepm = 1 (month) instead of %d\n", erreur, stepm);            for(m=iagemin; m <= iagemax+3; m++)
   }              freq[i][jk][m]=0;
         
   /*---------- Health expectancies and variances ------------*/        for (i=1; i<=nlstate; i++)  
           for(m=iagemin; m <= iagemax+3; m++)
   strcpy(filerest,"t");            prop[i][m]=0;
   strcat(filerest,fileres);        
   if((ficrest=fopen(filerest,"w"))==NULL) {        dateintsum=0;
     printf("Problem with total LE resultfile: %s\n", filerest);goto end;        k2cpt=0;
   }        for (i=1; i<=imx; i++) {
   printf("Computing Total LEs with variances: file '%s' \n", filerest);          bool=1;
           if  (cptcovn>0) { /* Filter is here: Must be looked at for model=V1+V2+V3+V4 */
             for (z1=1; z1<=cptcoveff; z1++)       
   strcpy(filerese,"e");              if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]){
   strcat(filerese,fileres);                  /* Tests if the value of each of the covariates of i is equal to filter j1 */
   if((ficreseij=fopen(filerese,"w"))==NULL) {                bool=0;
     printf("Problem with Health Exp. resultfile: %s\n", filerese); exit(0);                /* printf("bool=%d i=%d, z1=%d, Tvaraff[%d]=%d, covar[Tvarff][%d]=%2f, codtabm(%d,%d)=%d, nbcode[Tvaraff][codtabm(%d,%d)=%d, j1=%d\n", 
   }                  bool,i,z1, z1, Tvaraff[z1],i,covar[Tvaraff[z1]][i],j1,z1,codtabm(j1,z1),
   printf("Computing Health Expectancies: result on file '%s' \n", filerese);                  j1,z1,nbcode[Tvaraff[z1]][codtabm(j1,z1)],j1);*/
                 /* For j1=7 in V1+V2+V3+V4 = 0 1 1 0 and codtabm(7,3)=1 and nbcde[3][?]=1*/
  strcpy(fileresv,"v");              } 
   strcat(fileresv,fileres);          }
   if((ficresvij=fopen(fileresv,"w"))==NULL) {   
     printf("Problem with variance resultfile: %s\n", fileresv);exit(0);          if (bool==1){
   }            for(m=firstpass; m<=lastpass; m++){
   printf("Computing Variance-covariance of DFLEs: file '%s' \n", fileresv);              k2=anint[m][i]+(mint[m][i]/12.);
               /*if ((k2>=dateprev1) && (k2<=dateprev2)) {*/
   k=0;                if(agev[m][i]==0) agev[m][i]=iagemax+1;
   for(cptcov=1;cptcov<=i1;cptcov++){                if(agev[m][i]==1) agev[m][i]=iagemax+2;
     for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){                if (s[m][i]>0 && s[m][i]<=nlstate) prop[s[m][i]][(int)agev[m][i]] += weight[i];
       k=k+1;                if (m<lastpass) {
       fprintf(ficrest,"\n#****** ");                  freq[s[m][i]][s[m+1][i]][(int)agev[m][i]] += weight[i];
       for(j=1;j<=cptcoveff;j++)                  freq[s[m][i]][s[m+1][i]][iagemax+3] += weight[i];
         fprintf(ficrest,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);                }
       fprintf(ficrest,"******\n");                
                 if ((agev[m][i]>1) && (agev[m][i]< (iagemax+3))) {
       fprintf(ficreseij,"\n#****** ");                  dateintsum=dateintsum+k2;
       for(j=1;j<=cptcoveff;j++)                  k2cpt++;
         fprintf(ficreseij,"V%d=%d ",j,nbcode[j][codtab[k][j]]);                }
       fprintf(ficreseij,"******\n");                /*}*/
             }
       fprintf(ficresvij,"\n#****** ");          }
       for(j=1;j<=cptcoveff;j++)        } /* end i */
         fprintf(ficresvij,"V%d=%d ",j,nbcode[j][codtab[k][j]]);         
       fprintf(ficresvij,"******\n");        /*      fprintf(ficresp, "#Count between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);*/
         pstamp(ficresp);
       eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);        if  (cptcovn>0) {
       oldm=oldms;savm=savms;          fprintf(ficresp, "\n#********** Variable "); 
       evsij(fileres, eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k);            for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresp, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
       vareij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);          fprintf(ficresp, "**********\n#");
       oldm=oldms;savm=savms;          fprintf(ficlog, "\n#********** Variable "); 
       varevsij(fileres, vareij, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k);          for (z1=1; z1<=cptcoveff; z1++) fprintf(ficlog, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                fprintf(ficlog, "**********\n#");
       fprintf(ficrest,"#Total LEs with variances: e.. (std) ");        }
       for (i=1;i<=nlstate;i++) fprintf(ficrest,"e.%d (std) ",i);        for(i=1; i<=nlstate;i++) 
       fprintf(ficrest,"\n");          fprintf(ficresp, " Age Prev(%d) N(%d) N",i,i);
                fprintf(ficresp, "\n");
       hf=1;        
       if (stepm >= YEARM) hf=stepm/YEARM;        for(i=iagemin; i <= iagemax+3; i++){
       epj=vector(1,nlstate+1);          if(i==iagemax+3){
       for(age=bage; age <=fage ;age++){            fprintf(ficlog,"Total");
         prevalim(prlim, nlstate, p, age, oldm, savm,ftolpl,k);          }else{
         if (popbased==1) {            if(first==1){
           for(i=1; i<=nlstate;i++)              first=0;
             prlim[i][i]=probs[(int)age][i][k];              printf("See log file for details...\n");
         }            }
                    fprintf(ficlog,"Age %d", i);
         fprintf(ficrest," %.0f",age);          }
         for(j=1, epj[nlstate+1]=0.;j <=nlstate;j++){          for(jk=1; jk <=nlstate ; jk++){
           for(i=1, epj[j]=0.;i <=nlstate;i++) {            for(m=-1, pp[jk]=0; m <=nlstate+ndeath ; m++)
             epj[j] += prlim[i][i]*hf*eij[i][j][(int)age];              pp[jk] += freq[jk][m][i]; 
           }          }
           epj[nlstate+1] +=epj[j];          for(jk=1; jk <=nlstate ; jk++){
         }            for(m=-1, pos=0; m <=0 ; m++)
         for(i=1, vepp=0.;i <=nlstate;i++)              pos += freq[jk][m][i];
           for(j=1;j <=nlstate;j++)            if(pp[jk]>=1.e-10){
             vepp += vareij[i][j][(int)age];              if(first==1){
         fprintf(ficrest," %.2f (%.2f)", epj[nlstate+1],hf*sqrt(vepp));                printf(" %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);
         for(j=1;j <=nlstate;j++){              }
           fprintf(ficrest," %.2f (%.2f)", epj[j],hf*sqrt(vareij[j][j][(int)age]));              fprintf(ficlog," %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);
         }            }else{
         fprintf(ficrest,"\n");              if(first==1)
       }                printf(" %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);
     }              fprintf(ficlog," %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);
   }            }
                  }
          
           for(jk=1; jk <=nlstate ; jk++){
             for(m=0, pp[jk]=0; m <=nlstate+ndeath; m++)
  fclose(ficreseij);              pp[jk] += freq[jk][m][i];
  fclose(ficresvij);          }       
   fclose(ficrest);          for(jk=1,pos=0,posprop=0; jk <=nlstate ; jk++){
   fclose(ficpar);            pos += pp[jk];
   free_vector(epj,1,nlstate+1);            posprop += prop[jk][i];
   /*  scanf("%d ",i); */          }
           for(jk=1; jk <=nlstate ; jk++){
   /*------- Variance limit prevalence------*/              if(pos>=1.e-5){
               if(first==1)
 strcpy(fileresvpl,"vpl");                printf(" %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);
   strcat(fileresvpl,fileres);              fprintf(ficlog," %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);
   if((ficresvpl=fopen(fileresvpl,"w"))==NULL) {            }else{
     printf("Problem with variance prev lim resultfile: %s\n", fileresvpl);              if(first==1)
     exit(0);                printf(" %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);
   }              fprintf(ficlog," %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);
   printf("Computing Variance-covariance of Prevalence limit: file '%s' \n", fileresvpl);            }
             if( i <= iagemax){
  k=0;              if(pos>=1.e-5){
  for(cptcov=1;cptcov<=i1;cptcov++){                fprintf(ficresp," %d %.5f %.0f %.0f",i,prop[jk][i]/posprop, prop[jk][i],posprop);
    for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){                /*probs[i][jk][j1]= pp[jk]/pos;*/
      k=k+1;                /*printf("\ni=%d jk=%d j1=%d %.5f %.0f %.0f %f",i,jk,j1,pp[jk]/pos, pp[jk],pos,probs[i][jk][j1]);*/
      fprintf(ficresvpl,"\n#****** ");              }
      for(j=1;j<=cptcoveff;j++)              else
        fprintf(ficresvpl,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);                fprintf(ficresp," %d NaNq %.0f %.0f",i,prop[jk][i],posprop);
      fprintf(ficresvpl,"******\n");            }
                }
      varpl=matrix(1,nlstate,(int) bage, (int) fage);          
      oldm=oldms;savm=savms;          for(jk=-1; jk <=nlstate+ndeath; jk++)
      varprevlim(fileres, varpl, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k);            for(m=-1; m <=nlstate+ndeath; m++)
    }              if(freq[jk][m][i] !=0 ) {
  }              if(first==1)
                 printf(" %d%d=%.0f",jk,m,freq[jk][m][i]);
   fclose(ficresvpl);                fprintf(ficlog," %d%d=%.0f",jk,m,freq[jk][m][i]);
               }
   /*---------- End : free ----------------*/          if(i <= iagemax)
   free_matrix(varpl,1,nlstate,(int) bage, (int)fage);            fprintf(ficresp,"\n");
            if(first==1)
   free_ma3x(vareij,1,nlstate,1,nlstate,(int) bage, (int)fage);            printf("Others in log...\n");
   free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);          fprintf(ficlog,"\n");
          }
          /*}*/
   free_matrix(pmmij,1,nlstate+ndeath,1,nlstate+ndeath);    }
   free_matrix(oldms, 1,nlstate+ndeath,1,nlstate+ndeath);    dateintmean=dateintsum/k2cpt; 
   free_matrix(newms, 1,nlstate+ndeath,1,nlstate+ndeath);   
   free_matrix(savms, 1,nlstate+ndeath,1,nlstate+ndeath);    fclose(ficresp);
      free_ma3x(freq,-5,nlstate+ndeath,-5,nlstate+ndeath, iagemin, iagemax+3);
   free_matrix(matcov,1,npar,1,npar);    free_vector(pp,1,nlstate);
   free_vector(delti,1,npar);    free_matrix(prop,1,nlstate,iagemin, iagemax+3);
      /* End of Freq */
   free_ma3x(param,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel);  }
   
   if(erreur >0)  /************ Prevalence ********************/
     printf("End of Imach with error %d\n",erreur);  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)
   else   printf("End of Imach\n");  {  
   /*  gettimeofday(&end_time, (struct timezone*)0);*/  /* after time */    /* 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).
   /* 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);*/       We still use firstpass and lastpass as another selection.
   /*printf("Total time was %d uSec.\n", total_usecs);*/    */
   /*------ End -----------*/   
     int i, m, jk, j1, bool, z1,j;
   
  end:    double **prop;
 #ifdef windows    double posprop; 
  chdir(pathcd);    double  y2; /* in fractional years */
 #endif    int iagemin, iagemax;
      int first; /** to stop verbosity which is redirected to log file */
  system("..\\gp37mgw\\wgnuplot graph.plt");  
     iagemin= (int) agemin;
 #ifdef windows    iagemax= (int) agemax;
   while (z[0] != 'q') {    /*pp=vector(1,nlstate);*/
     chdir(pathcd);    prop=matrix(1,nlstate,iagemin,iagemax+3); 
     printf("\nType e to edit output files, c to start again, and q for exiting: ");    /*  freq=ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,iagemin,iagemax+3);*/
     scanf("%s",z);    j1=0;
     if (z[0] == 'c') system("./imach");    
     else if (z[0] == 'e') {    /*j=cptcoveff;*/
       chdir(path);    if (cptcovn<1) {j=1;ncodemax[1]=1;}
       system(optionfilehtm);    
     }    first=1;
     else if (z[0] == 'q') exit(0);    for(j1=1; j1<= (int) pow(2,cptcoveff);j1++){
   }      /*for(i1=1; i1<=ncodemax[k1];i1++){
 #endif        j1++;*/
 }        
         for (i=1; i<=nlstate; i++)  
           for(m=iagemin; m <= iagemax+3; m++)
             prop[i][m]=0.0;
        
         for (i=1; i<=imx; i++) { /* Each individual */
           bool=1;
           if  (cptcovn>0) {
             for (z1=1; z1<=cptcoveff; z1++) 
               if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]) 
                 bool=0;
           } 
           if (bool==1) { 
             for(m=firstpass; m<=lastpass; m++){/* Other selection (we can limit to certain interviews*/
               y2=anint[m][i]+(mint[m][i]/12.); /* Fractional date in year */
               if ((y2>=dateprev1) && (y2<=dateprev2)) { /* Here is the main selection (fractional years) */
                 if(agev[m][i]==0) agev[m][i]=iagemax+1;
                 if(agev[m][i]==1) agev[m][i]=iagemax+2;
                 if((int)agev[m][i] <iagemin || (int)agev[m][i] >iagemax+3) printf("Error on individual =%d agev[m][i]=%f m=%d\n",i, agev[m][i],m); 
                 if (s[m][i]>0 && s[m][i]<=nlstate) { 
                   /*if(i>4620) printf(" i=%d m=%d s[m][i]=%d (int)agev[m][i]=%d weight[i]=%f prop=%f\n",i,m,s[m][i],(int)agev[m][m],weight[i],prop[s[m][i]][(int)agev[m][i]]);*/
                   prop[s[m][i]][(int)agev[m][i]] += weight[i];
                   prop[s[m][i]][iagemax+3] += weight[i]; 
                 } 
               }
             } /* end selection of waves */
           }
         }
         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,iagemax+3);
   }  /* 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;
     int j, k=0,jk, ju, jl;
     double sum=0.;
     first=0;
     jmin=100000;
     jmax=-1;
     jmean=0.;
     for(i=1; i<=imx; i++){
       mi=0;
       m=firstpass;
       while(s[m][i] <= nlstate){
         if(s[m][i]>=1 || s[m][i]==-2 || s[m][i]==-4 || s[m][i]==-5)
           mw[++mi][i]=m;
         if(m >=lastpass)
           break;
         else
           m++;
       }/* end while */
       if (s[m][i] > nlstate){
         mi++;     /* Death is another wave */
         /* if(mi==0)  never been interviewed correctly before death */
            /* Only death is a correct wave */
         mw[mi][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 */
   
     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 *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[j]][1]= 
     */
   
     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; 
    
     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*/
   
   }
   
   
   /*********** 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 ij, int estepm, int cptcov, int cptcod, int popbased, int mobilav, char strstart[])
   {
     /* Variance of health expectancies */
     /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);*/
     /* double **newm;*/
     /* int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav)*/
     
     int movingaverage();
     double **dnewm,**doldm;
     double **dnewmp,**doldmp;
     int i, j, nhstepm, hstepm, h, nstepm ;
     int k;
     double *xp;
     double **gp, **gm;  /* for var eij */
     double ***gradg, ***trgradg; /*for var eij */
     double **gradgp, **trgradgp; /* for var p point j */
     double *gpp, *gmp; /* for var p point j */
     double **varppt; /* for var p point j nlstate to nlstate+ndeath */
     double ***p3mat;
     double age,agelim, hf;
     double ***mobaverage;
     int theta;
     char digit[4];
     char digitp[25];
   
     char fileresprobmorprev[FILENAMELENGTH];
   
     if(popbased==1){
       if(mobilav!=0)
         strcpy(digitp,"-populbased-mobilav-");
       else strcpy(digitp,"-populbased-nomobil-");
     }
     else 
       strcpy(digitp,"-stablbased-");
   
     if (mobilav!=0) {
       mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
       if (movingaverage(probs, bage, fage, mobaverage,mobilav)!=0){
         fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
         printf(" Error in movingaverage mobilav=%d\n",mobilav);
       }
     }
   
     strcpy(fileresprobmorprev,"prmorprev"); 
     sprintf(digit,"%-d",ij);
     /*printf("DIGIT=%s, ij=%d ijr=%-d|\n",digit, ij,ij);*/
     strcat(fileresprobmorprev,digit); /* Tvar to be done */
     strcat(fileresprobmorprev,digitp); /* Popbased or not, mobilav or not */
     strcat(fileresprobmorprev,fileres);
     if((ficresprobmorprev=fopen(fileresprobmorprev,"w"))==NULL) {
       printf("Problem with resultfile: %s\n", fileresprobmorprev);
       fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobmorprev);
     }
     printf("Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
    
     fprintf(ficlog,"Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
     pstamp(ficresprobmorprev);
     fprintf(ficresprobmorprev,"# probabilities of dying before estepm=%d months for people of exact age and weighted probabilities w1*p1j+w2*p2j+... stand dev in()\n",estepm);
     fprintf(ficresprobmorprev,"# Age cov=%-d",ij);
     for(j=nlstate+1; j<=(nlstate+ndeath);j++){
       fprintf(ficresprobmorprev," p.%-d SE",j);
       for(i=1; i<=nlstate;i++)
         fprintf(ficresprobmorprev," w%1d p%-d%-d",i,i,j);
     }  
     fprintf(ficresprobmorprev,"\n");
     fprintf(ficgp,"\n# Routine varevsij");
     fprintf(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 agelin. 
        Look at function hpijx to understand why (it is linked to memory size questions) */
     /* We decided (b) to get a life expectancy respecting the most precise curvature of the
        survival function given by stepm (the optimization length). Unfortunately it
        means that if the survival funtion is printed every two years of age and if
        you sum them up and add 1 year (area under the trapezoids) you won't get the same 
        results. So we changed our mind and took the option of the best precision.
     */
     hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
     agelim = AGESUP;
     for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
       nstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
       nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
       p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
       gradg=ma3x(0,nhstepm,1,npar,1,nlstate);
       gp=matrix(0,nhstepm,1,nlstate);
       gm=matrix(0,nhstepm,1,nlstate);
   
   
       for(theta=1; theta <=npar; theta++){
         for(i=1; i<=npar; i++){ /* Computes gradient x + delta*/
           xp[i] = x[i] + (i==theta ?delti[theta]:0);
         }
         hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);  
         prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);
   
         if (popbased==1) {
           if(mobilav ==0){
             for(i=1; i<=nlstate;i++)
               prlim[i][i]=probs[(int)age][i][ij];
           }else{ /* mobilav */ 
             for(i=1; i<=nlstate;i++)
               prlim[i][i]=mobaverage[(int)age][i][ij];
           }
         }
     
         for(j=1; j<= nlstate; j++){
           for(h=0; h<=nhstepm; h++){
             for(i=1, gp[h][j]=0.;i<=nlstate;i++)
               gp[h][j] += prlim[i][i]*p3mat[i][j][h];
           }
         }
         /* This for computing probability of death (h=1 means
            computed over hstepm matrices product = hstepm*stepm months) 
            as a weighted average of prlim.
         */
         for(j=nlstate+1;j<=nlstate+ndeath;j++){
           for(i=1,gpp[j]=0.; i<= nlstate; i++)
             gpp[j] += prlim[i][i]*p3mat[i][j][1];
         }    
         /* end probability of death */
   
         for(i=1; i<=npar; i++) /* Computes gradient x - delta */
           xp[i] = x[i] - (i==theta ?delti[theta]:0);
         hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);  
         prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);
    
         if (popbased==1) {
           if(mobilav ==0){
             for(i=1; i<=nlstate;i++)
               prlim[i][i]=probs[(int)age][i][ij];
           }else{ /* mobilav */ 
             for(i=1; i<=nlstate;i++)
               prlim[i][i]=mobaverage[(int)age][i][ij];
           }
         }
   
         for(j=1; j<= nlstate; j++){  /* Sum of wi * eij = e.j */
           for(h=0; h<=nhstepm; h++){
             for(i=1, gm[h][j]=0.;i<=nlstate;i++)
               gm[h][j] += prlim[i][i]*p3mat[i][j][h];
           }
         }
         /* This for computing probability of death (h=1 means
            computed over hstepm matrices product = hstepm*stepm months) 
            as a weighted average of prlim.
         */
         for(j=nlstate+1;j<=nlstate+ndeath;j++){
           for(i=1,gmp[j]=0.; i<= nlstate; i++)
            gmp[j] += prlim[i][i]*p3mat[i][j][1];
         }    
         /* end probability of death */
   
         for(j=1; j<= nlstate; j++) /* vareij */
           for(h=0; h<=nhstepm; h++){
             gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta];
           }
   
         for(j=nlstate+1; j<= nlstate+ndeath; j++){ /* var mu */
           gradgp[theta][j]= (gpp[j]-gmp[j])/2./delti[theta];
         }
   
       } /* End theta */
   
       trgradg =ma3x(0,nhstepm,1,nlstate,1,npar); /* veij */
   
       for(h=0; h<=nhstepm; h++) /* veij */
         for(j=1; j<=nlstate;j++)
           for(theta=1; theta <=npar; theta++)
             trgradg[h][j][theta]=gradg[h][theta][j];
   
       for(j=nlstate+1; j<=nlstate+ndeath;j++) /* mu */
         for(theta=1; theta <=npar; theta++)
           trgradgp[j][theta]=gradgp[theta][j];
     
   
       hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
       for(i=1;i<=nlstate;i++)
         for(j=1;j<=nlstate;j++)
           vareij[i][j][(int)age] =0.;
   
       for(h=0;h<=nhstepm;h++){
         for(k=0;k<=nhstepm;k++){
           matprod2(dnewm,trgradg[h],1,nlstate,1,npar,1,npar,matcov);
           matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg[k]);
           for(i=1;i<=nlstate;i++)
             for(j=1;j<=nlstate;j++)
               vareij[i][j][(int)age] += doldm[i][j]*hf*hf;
         }
       }
     
       /* pptj */
       matprod2(dnewmp,trgradgp,nlstate+1,nlstate+ndeath,1,npar,1,npar,matcov);
       matprod2(doldmp,dnewmp,nlstate+1,nlstate+ndeath,1,npar,nlstate+1,nlstate+ndeath,gradgp);
       for(j=nlstate+1;j<=nlstate+ndeath;j++)
         for(i=nlstate+1;i<=nlstate+ndeath;i++)
           varppt[j][i]=doldmp[j][i];
       /* end ppptj */
       /*  x centered again */
       hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm,savm, ij);  
       prevalim(prlim,nlstate,x,age,oldm,savm,ftolpl,ij);
    
       if (popbased==1) {
         if(mobilav ==0){
           for(i=1; i<=nlstate;i++)
             prlim[i][i]=probs[(int)age][i][ij];
         }else{ /* mobilav */ 
           for(i=1; i<=nlstate;i++)
             prlim[i][i]=mobaverage[(int)age][i][ij];
         }
       }
                
       /* This for computing probability of death (h=1 means
          computed over hstepm (estepm) matrices product = hstepm*stepm months) 
          as a weighted average of prlim.
       */
       for(j=nlstate+1;j<=nlstate+ndeath;j++){
         for(i=1,gmp[j]=0.;i<= nlstate; i++) 
           gmp[j] += prlim[i][i]*p3mat[i][j][1]; 
       }    
       /* end probability of death */
   
       fprintf(ficresprobmorprev,"%3d %d ",(int) age, ij);
       for(j=nlstate+1; j<=(nlstate+ndeath);j++){
         fprintf(ficresprobmorprev," %11.3e %11.3e",gmp[j], sqrt(varppt[j][j]));
         for(i=1; i<=nlstate;i++){
           fprintf(ficresprobmorprev," %11.3e %11.3e ",prlim[i][i],p3mat[i][j][1]);
         }
       } 
       fprintf(ficresprobmorprev,"\n");
   
       fprintf(ficresvij,"%.0f ",age );
       for(i=1; i<=nlstate;i++)
         for(j=1; j<=nlstate;j++){
           fprintf(ficresvij," %.4f", vareij[i][j][(int)age]);
         }
       fprintf(ficresvij,"\n");
       free_matrix(gp,0,nhstepm,1,nlstate);
       free_matrix(gm,0,nhstepm,1,nlstate);
       free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate);
       free_ma3x(trgradg,0,nhstepm,1,nlstate,1,npar);
       free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
     } /* End age */
     free_vector(gpp,nlstate+1,nlstate+ndeath);
     free_vector(gmp,nlstate+1,nlstate+ndeath);
     free_matrix(gradgp,1,npar,nlstate+1,nlstate+ndeath);
     free_matrix(trgradgp,nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
     /* fprintf(ficgp,"\nunset parametric;unset label; set ter png small size 320, 240"); */
     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 ij, char strstart[])
   {
     /* Variance of prevalence limit */
     /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double **savm,double ftolpl);*/
   
     double **dnewm,**doldm;
     int i, j, nhstepm, hstepm;
     double *xp;
     double *gp, *gm;
     double **gradg, **trgradg;
     double age,agelim;
     int theta;
     
     pstamp(ficresvpl);
     fprintf(ficresvpl,"# Standard deviation of period (stable) prevalences \n");
     fprintf(ficresvpl,"# Age");
     for(i=1; i<=nlstate;i++)
         fprintf(ficresvpl," %1d-%1d",i,i);
     fprintf(ficresvpl,"\n");
   
     xp=vector(1,npar);
     dnewm=matrix(1,nlstate,1,npar);
     doldm=matrix(1,nlstate,1,nlstate);
     
     hstepm=1*YEARM; /* Every year of age */
     hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */ 
     agelim = AGESUP;
     for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
       nhstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
       if (stepm >= YEARM) hstepm=1;
       nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
       gradg=matrix(1,npar,1,nlstate);
       gp=vector(1,nlstate);
       gm=vector(1,nlstate);
   
       for(theta=1; theta <=npar; theta++){
         for(i=1; i<=npar; i++){ /* Computes gradient */
           xp[i] = x[i] + (i==theta ?delti[theta]:0);
         }
         prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);
         for(i=1;i<=nlstate;i++)
           gp[i] = prlim[i][i];
       
         for(i=1; i<=npar; i++) /* Computes gradient */
           xp[i] = x[i] - (i==theta ?delti[theta]:0);
         prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);
         for(i=1;i<=nlstate;i++)
           gm[i] = prlim[i][i];
   
         for(i=1;i<=nlstate;i++)
           gradg[theta][i]= (gp[i]-gm[i])/2./delti[theta];
       } /* End theta */
   
       trgradg =matrix(1,nlstate,1,npar);
   
       for(j=1; j<=nlstate;j++)
         for(theta=1; theta <=npar; theta++)
           trgradg[j][theta]=gradg[theta][j];
   
       for(i=1;i<=nlstate;i++)
         varpl[i][(int)age] =0.;
       matprod2(dnewm,trgradg,1,nlstate,1,npar,1,npar,matcov);
       matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg);
       for(i=1;i<=nlstate;i++)
         varpl[i][(int)age] = doldm[i][i]; /* Covariances are useless */
   
       fprintf(ficresvpl,"%.0f ",age );
       for(i=1; i<=nlstate;i++)
         fprintf(ficresvpl," %.5f (%.5f)",prlim[i][i],sqrt(varpl[i][(int)age]));
       fprintf(ficresvpl,"\n");
       free_vector(gp,1,nlstate);
       free_vector(gm,1,nlstate);
       free_matrix(gradg,1,npar,1,nlstate);
       free_matrix(trgradg,1,nlstate,1,npar);
     } /* End age */
   
     free_vector(xp,1,npar);
     free_matrix(doldm,1,nlstate,1,npar);
     free_matrix(dnewm,1,nlstate,1,nlstate);
   
   }
   
   /************ Variance of one-step probabilities  ******************/
   void varprob(char optionfilefiname[], double **matcov, double x[], double delti[], int nlstate, double bage, double fage, int ij, int *Tvar, int **nbcode, int *ncodemax, char strstart[])
   {
     int i, j=0,  k1, l1, tj;
     int k2, l2, j1,  z1;
     int k=0, l;
     int first=1, first1, first2;
     double cv12, mu1, mu2, lc1, lc2, v12, v21, v11, v22,v1,v2, c12, tnalp;
     double **dnewm,**doldm;
     double *xp;
     double *gp, *gm;
     double **gradg, **trgradg;
     double **mu;
     double age, cov[NCOVMAX+1];
     double std=2.0; /* Number of standard deviation wide of confidence ellipsoids */
     int theta;
     char fileresprob[FILENAMELENGTH];
     char fileresprobcov[FILENAMELENGTH];
     char fileresprobcor[FILENAMELENGTH];
     double ***varpij;
   
     strcpy(fileresprob,"prob"); 
     strcat(fileresprob,fileres);
     if((ficresprob=fopen(fileresprob,"w"))==NULL) {
       printf("Problem with resultfile: %s\n", fileresprob);
       fprintf(ficlog,"Problem with resultfile: %s\n", fileresprob);
     }
     strcpy(fileresprobcov,"probcov"); 
     strcat(fileresprobcov,fileres);
     if((ficresprobcov=fopen(fileresprobcov,"w"))==NULL) {
       printf("Problem with resultfile: %s\n", fileresprobcov);
       fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcov);
     }
     strcpy(fileresprobcor,"probcor"); 
     strcat(fileresprobcor,fileres);
     if((ficresprobcor=fopen(fileresprobcor,"w"))==NULL) {
       printf("Problem with resultfile: %s\n", fileresprobcor);
       fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcor);
     }
     printf("Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);
     fprintf(ficlog,"Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);
     printf("Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);
     fprintf(ficlog,"Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);
     printf("and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);
     fprintf(ficlog,"and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);
     pstamp(ficresprob);
     fprintf(ficresprob,"#One-step probabilities and stand. devi in ()\n");
     fprintf(ficresprob,"# Age");
     pstamp(ficresprobcov);
     fprintf(ficresprobcov,"#One-step probabilities and covariance matrix\n");
     fprintf(ficresprobcov,"# Age");
     pstamp(ficresprobcor);
     fprintf(ficresprobcor,"#One-step probabilities and correlation matrix\n");
     fprintf(ficresprobcor,"# Age");
   
   
     for(i=1; i<=nlstate;i++)
       for(j=1; j<=(nlstate+ndeath);j++){
         fprintf(ficresprob," p%1d-%1d (SE)",i,j);
         fprintf(ficresprobcov," p%1d-%1d ",i,j);
         fprintf(ficresprobcor," p%1d-%1d ",i,j);
       }  
    /* fprintf(ficresprob,"\n");
     fprintf(ficresprobcov,"\n");
     fprintf(ficresprobcor,"\n");
    */
     xp=vector(1,npar);
     dnewm=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);
     doldm=matrix(1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath));
     mu=matrix(1,(nlstate)*(nlstate+ndeath), (int) bage, (int)fage);
     varpij=ma3x(1,nlstate*(nlstate+ndeath),1,nlstate*(nlstate+ndeath),(int) bage, (int) fage);
     first=1;
     fprintf(ficgp,"\n# Routine varprob");
     fprintf(fichtm,"\n<li><h4> Computing and drawing one step probabilities with their confidence intervals</h4></li>\n");
     fprintf(fichtm,"\n");
   
     fprintf(fichtm,"\n<li><h4> <a href=\"%s\">Matrix of variance-covariance of 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(i1=1; i1<=ncodemax[t];i1++){ */
       /*j1++;*/
         if  (cptcovn>0) {
           fprintf(ficresprob, "\n#********** Variable "); 
           for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprob, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][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#");    
         }
         
         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 covariates */
     }
     free_ma3x(varpij,1,nlstate,1,nlstate+ndeath,(int) bage, (int)fage);
     free_matrix(mu,1,(nlstate+ndeath)*(nlstate+ndeath),(int) bage, (int)fage);
     free_matrix(doldm,1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath));
     free_matrix(dnewm,1,(nlstate)*(nlstate+ndeath),1,npar);
     free_vector(xp,1,npar);
     fclose(ficresprob);
     fclose(ficresprobcov);
     fclose(ficresprobcor);
     fflush(ficgp);
     fflush(fichtmcov);
   }
   
   
   /******************* Printing html file ***********/
   void printinghtml(char fileres[], char title[], char datafile[], int firstpass, \
                     int lastpass, int stepm, int weightopt, char model[],\
                     int imx,int jmin, int jmax, double jmeanint,char rfileres[],\
                     int popforecast, int estepm ,\
                     double jprev1, double mprev1,double anprev1, \
                     double jprev2, double mprev2,double anprev2){
     int jj1, k1, i1, cpt;
   
      fprintf(fichtm,"<ul><li><a href='#firstorder'>Result files (first order: no variance)</a>\n \
      <li><a href='#secondorder'>Result files (second order (variance)</a>\n \
   </ul>");
      fprintf(fichtm,"<ul><li><h4><a name='firstorder'>Result files (first order: no variance)</a></h4>\n \
    - Observed prevalence in each state (during the period defined between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf): <a href=\"%s\">%s</a> <br>\n ",
              jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,subdirf2(fileres,"p"),subdirf2(fileres,"p"));
      fprintf(fichtm,"\
    - Estimated transition probabilities over %d (stepm) months: <a href=\"%s\">%s</a><br>\n ",
              stepm,subdirf2(fileres,"pij"),subdirf2(fileres,"pij"));
      fprintf(fichtm,"\
    - Period (stable) prevalence in each health state: <a href=\"%s\">%s</a> <br>\n",
              subdirf2(fileres,"pl"),subdirf2(fileres,"pl"));
      fprintf(fichtm,"\
    - (a) Life expectancies by health status at initial age, ei. (b) health expectancies by health status at initial age, eij . If one or more covariates are included, specific tables for each value of the covariate are output in sequences within the same file (estepm=%2d months): \
      <a href=\"%s\">%s</a> <br>\n",
              estepm,subdirf2(fileres,"e"),subdirf2(fileres,"e"));
      fprintf(fichtm,"\
    - Population projections by age and states: \
      <a href=\"%s\">%s</a> <br>\n</li>", subdirf2(fileres,"f"),subdirf2(fileres,"f"));
   
   fprintf(fichtm," \n<ul><li><b>Graphs</b></li><p>");
   
    m=pow(2,cptcoveff);
    if (cptcovn < 1) {m=1;ncodemax[1]=1;}
   
    jj1=0;
    for(k1=1; k1<=m;k1++){
      /* for(i1=1; i1<=ncodemax[k1];i1++){ */
        jj1++;
        if (cptcovn > 0) {
          fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");
          for (cpt=1; cpt<=cptcoveff;cpt++){ 
            fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][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\">");
        }
        /* Pij */
        fprintf(fichtm,"<br>- Pij or Conditional probabilities to be observed in state j being in state i, %d (stepm) months before: <a href=\"%s%d_1.svg\">%s%d_1.svg</a><br> \
   <img src=\"%s%d_1.svg\">",stepm,subdirf2(optionfilefiname,"pe"),jj1,subdirf2(optionfilefiname,"pe"),jj1,subdirf2(optionfilefiname,"pe"),jj1);     
        /* Quasi-incidences */
        fprintf(fichtm,"<br>- Pij or Conditional probabilities to be observed in state j being in state i %d (stepm) months\
    before but expressed in per year i.e. quasi incidences if stepm is small and probabilities too: <a href=\"%s%d_2.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); 
          /* Period (stable) prevalence in each health state */
          for(cpt=1; cpt<=nlstate;cpt++){
            fprintf(fichtm,"<br>- Convergence to period (stable) prevalence in state %d. Or probability to be in state %d being in state (1 to %d) at different ages. <a href=\"%s%d_%d.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);
          }
        for(cpt=1; cpt<=nlstate;cpt++) {
           fprintf(fichtm,"\n<br>- Life expectancy by health state (%d) at initial age and its decomposition into health expectancies in each alive state (1 to %d) : <a href=\"%s%d%d.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.<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(fileres,"prob"),subdirf2(fileres,"prob"));
    fprintf(fichtm,"\
    - Variance-covariance of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
            subdirf2(fileres,"probcov"),subdirf2(fileres,"probcov"));
   
    fprintf(fichtm,"\
    - Correlation matrix of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
            subdirf2(fileres,"probcor"),subdirf2(fileres,"probcor"));
    fprintf(fichtm,"\
    - Variances and covariances of health expectancies by age and <b>initial health status</b> (cov(e<sup>ij</sup>,e<sup>kl</sup>)(estepm=%2d months): \
      <a href=\"%s\">%s</a> <br>\n</li>",
              estepm,subdirf2(fileres,"cve"),subdirf2(fileres,"cve"));
    fprintf(fichtm,"\
    - (a) Health expectancies by health status at initial age (e<sup>ij</sup>) and standard errors (in parentheses) (b) life expectancies and standard errors (e<sup>i.</sup>=e<sup>i1</sup>+e<sup>i2</sup>+...)(estepm=%2d months): \
      <a href=\"%s\">%s</a> <br>\n</li>",
              estepm,subdirf2(fileres,"stde"),subdirf2(fileres,"stde"));
    fprintf(fichtm,"\
    - Variances and covariances of health expectancies by age. Status (i) based health expectancies (in state j), e<sup>ij</sup> are weighted by the period prevalences in each state i (if popbased=1, an additional computation is done using the cross-sectional prevalences, i.e population based) (estepm=%d months): <a href=\"%s\">%s</a><br>\n",
            estepm, subdirf2(fileres,"v"),subdirf2(fileres,"v"));
    fprintf(fichtm,"\
    - Total life expectancy and total health expectancies to be spent in each health state e<sup>.j</sup> with their standard errors (if popbased=1, an additional computation is done using the cross-sectional prevalences, i.e population based) (estepm=%d months): <a href=\"%s\">%s</a> <br>\n",
            estepm, subdirf2(fileres,"t"),subdirf2(fileres,"t"));
    fprintf(fichtm,"\
    - Standard deviation of period (stable) prevalences: <a href=\"%s\">%s</a> <br>\n",\
            subdirf2(fileres,"vpl"),subdirf2(fileres,"vpl"));
   
   /*  if(popforecast==1) fprintf(fichtm,"\n */
   /*  - Prevalences forecasting: <a href=\"f%s\">f%s</a> <br>\n */
   /*  - Population forecasting (if popforecast=1): <a href=\"pop%s\">pop%s</a> <br>\n */
   /*      <br>",fileres,fileres,fileres,fileres); */
   /*  else  */
   /*    fprintf(fichtm,"\n No population forecast: popforecast = %d (instead of 1) or stepm = %d (instead of 1) or model=%s (instead of .)<br><br></li>\n",popforecast, stepm, model); */
    fflush(fichtm);
    fprintf(fichtm," <ul><li><b>Graphs</b></li><p>");
   
    m=pow(2,cptcoveff);
    if (cptcovn < 1) {m=1;ncodemax[1]=1;}
   
    jj1=0;
    for(k1=1; k1<=m;k1++){
      /* for(i1=1; i1<=ncodemax[k1];i1++){ */
        jj1++;
        if (cptcovn > 0) {
          fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");
          for (cpt=1; cpt<=cptcoveff;cpt++) 
            fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]);
          fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");
        }
        for(cpt=1; cpt<=nlstate;cpt++) {
          fprintf(fichtm,"<br>- Observed (cross-sectional) and period (incidence based) \
   prevalence (with 95%% confidence interval) in state (%d): %s%d_%d.svg <br>\
   <img src=\"%s%d_%d.svg\">",cpt,subdirf2(optionfilefiname,"v"),cpt,jj1,subdirf2(optionfilefiname,"v"),cpt,jj1);  
        }
        fprintf(fichtm,"\n<br>- Total life expectancy by age and \
   health expectancies in states (1) and (2). If popbased=1 the smooth (due to the model) \
   true period expectancies (those weighted with period prevalences are also\
    drawn in addition to the population based expectancies computed using\
    observed and cahotic prevalences: %s%d.svg<br>\
   <img src=\"%s%d.svg\">",subdirf2(optionfilefiname,"e"),jj1,subdirf2(optionfilefiname,"e"),jj1);
      /* } /\* end i1 *\/ */
    }/* End k1 */
    fprintf(fichtm,"</ul>");
    fflush(fichtm);
   }
   
   /******************* Gnuplot file **************/
   void printinggnuplot(char fileres[], char optionfilefiname[], double ageminpar, double agemaxpar, double fage , char pathc[], double p[]){
   
     char dirfileres[132],optfileres[132];
     int cpt=0,k1=0,i=0,k=0,j=0,jk=0,k2=0,k3=0,ij=0,l=0;
     int ng=0;
   /*   if((ficgp=fopen(optionfilegnuplot,"a"))==NULL) { */
   /*     printf("Problem with file %s",optionfilegnuplot); */
   /*     fprintf(ficlog,"Problem with file %s",optionfilegnuplot); */
   /*   } */
   
     /*#ifdef windows */
     fprintf(ficgp,"cd \"%s\" \n",pathc);
       /*#endif */
     m=pow(2,cptcoveff);
   
     strcpy(dirfileres,optionfilefiname);
     strcpy(optfileres,"vpl");
    /* 1eme*/
     fprintf(ficgp,"\n# 1st: Period (stable) prevalence with CI: 'vpl' files\n");
     for (cpt=1; cpt<= nlstate ; cpt ++) {
       for (k1=1; k1<= m ; k1 ++) { /* plot [100000000000000000000:-100000000000000000000] "mysbiaspar/vplrmysbiaspar.txt to check */
        fprintf(ficgp,"\nset out \"%s%d_%d.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(fileres,"vpl"),k1-1,k1-1);
   
        for (i=1; i<= nlstate ; i ++) {
          if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
          else        fprintf(ficgp," %%*lf (%%*lf)");
        }
        fprintf(ficgp,"\" t\"Period (stable) prevalence\" w l lt 0,\"%s\" every :::%d::%d u 1:($2+1.96*$3) \"%%lf",subdirf2(fileres,"vpl"),k1-1,k1-1);
        for (i=1; i<= nlstate ; i ++) {
          if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
          else fprintf(ficgp," %%*lf (%%*lf)");
        } 
        fprintf(ficgp,"\" t\"95%% CI\" w l lt 1,\"%s\" every :::%d::%d u 1:($2-1.96*$3) \"%%lf",subdirf2(fileres,"vpl"),k1-1,k1-1); 
        for (i=1; i<= nlstate ; i ++) {
          if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
          else fprintf(ficgp," %%*lf (%%*lf)");
        }  
        fprintf(ficgp,"\" t\"\" w l lt 1,\"%s\" every :::%d::%d u 1:($%d) t\"Observed prevalence \" w l lt 2",subdirf2(fileres,"p"),k1-1,k1-1,2+4*(cpt-1));
      }
     }
     /*2 eme*/
     fprintf(ficgp,"\n# 2nd: Total life expectancy with CI: 't' files\n");
     for (k1=1; k1<= m ; k1 ++) { 
       fprintf(ficgp,"\nset out \"%s%d.svg\" \n",subdirf2(optionfilefiname,"e"),k1);
       fprintf(ficgp,"set ylabel \"Years\" \nset ter svg size 640, 480\nplot [%.f:%.f] ",ageminpar,fage);
       
       for (i=1; i<= nlstate+1 ; i ++) {
         k=2*i;
         fprintf(ficgp,"\"%s\" every :::%d::%d u 1:2 \"%%lf",subdirf2(fileres,"t"),k1-1,k1-1);
         for (j=1; j<= nlstate+1 ; j ++) {
           if (j==i) fprintf(ficgp," %%lf (%%lf)");
           else fprintf(ficgp," %%*lf (%%*lf)");
         }   
         if (i== 1) fprintf(ficgp,"\" t\"TLE\" w l ,");
         else fprintf(ficgp,"\" t\"LE in state (%d)\" w l ,",i-1);
         fprintf(ficgp,"\"%s\" every :::%d::%d u 1:($2-$3*2) \"%%lf",subdirf2(fileres,"t"),k1-1,k1-1);
         for (j=1; j<= nlstate+1 ; j ++) {
           if (j==i) fprintf(ficgp," %%lf (%%lf)");
           else fprintf(ficgp," %%*lf (%%*lf)");
         }   
         fprintf(ficgp,"\" t\"\" w l lt 0,");
         fprintf(ficgp,"\"%s\" every :::%d::%d u 1:($2+$3*2) \"%%lf",subdirf2(fileres,"t"),k1-1,k1-1);
         for (j=1; j<= nlstate+1 ; j ++) {
           if (j==i) fprintf(ficgp," %%lf (%%lf)");
           else fprintf(ficgp," %%*lf (%%*lf)");
         }   
         if (i== (nlstate+1)) fprintf(ficgp,"\" t\"\" w l lt 0");
         else fprintf(ficgp,"\" t\"\" w l lt 0,");
       }
     }
     
     /*3eme*/
     
     for (k1=1; k1<= m ; k1 ++) { 
       for (cpt=1; cpt<= nlstate ; cpt ++) {
         /*       k=2+nlstate*(2*cpt-2); */
         k=2+(nlstate+1)*(cpt-1);
         fprintf(ficgp,"\nset out \"%s%d%d.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(fileres,"e"),k1-1,k1-1,k,cpt);
         /*fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d-2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);
           for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");
           fprintf(ficgp,"\" t \"e%d1\" w l",cpt);
           fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d+2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);
           for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");
           fprintf(ficgp,"\" t \"e%d1\" w l",cpt);
           
         */
         for (i=1; i< nlstate ; i ++) {
           fprintf(ficgp," ,\"%s\" every :::%d::%d u 1:%d t \"e%d%d\" w l",subdirf2(fileres,"e"),k1-1,k1-1,k+i,cpt,i+1);
           /*      fprintf(ficgp," ,\"%s\" every :::%d::%d u 1:%d t \"e%d%d\" w l",subdirf2(fileres,"e"),k1-1,k1-1,k+2*i,cpt,i+1);*/
           
         } 
         fprintf(ficgp," ,\"%s\" every :::%d::%d u 1:%d t \"e%d.\" w l",subdirf2(fileres,"e"),k1-1,k1-1,k+nlstate,cpt);
       }
     }
     
     /* CV preval stable (period) */
     for (k1=1; k1<= m ; k1 ++) { /* For each multivariate if any */
       for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state */
         k=3;
         fprintf(ficgp,"\n#\n#\n#CV preval stable (period): 'pij' files, cov=%d state=%d",k1, cpt);
         fprintf(ficgp,"\nset out \"%s%d_%d.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);
         for (i=1; i<= nlstate ; i ++){
           if(i==1)
             fprintf(ficgp,"\"%s\"",subdirf2(fileres,"pij"));
           else
             fprintf(ficgp,", '' ");
           l=(nlstate+ndeath)*(i-1)+1;
           fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l);
           for (j=1; j<= (nlstate-1) ; j ++)
             fprintf(ficgp,"+$%d",k+l+j);
           fprintf(ficgp,")) t \"prev(%d,%d)\" w l",i,cpt);
         } /* nlstate */
         fprintf(ficgp,"\n");
       } /* end cpt state*/ 
     } /* end covariate */  
     
     /* proba elementaires */
     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<=2;ng++){ /* Number of graphics: first is probabilities second is incidence 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\" \n",subdirf2(optionfilefiname,"pe"),jk,ng); 
          if (ng==2)
            fprintf(ficgp,"\nset ylabel \"Quasi-incidence per year\"\n");
          else
            fprintf(ficgp,"\nunset title \n");
          fprintf(ficgp,"\nset ter svg size 640, 480\nset log y\nplot  [%.f:%.f] ",ageminpar,agemaxpar);
          i=1;
          for(k2=1; k2<=nlstate; k2++) {
            k3=i;
            for(k=1; k<=(nlstate+ndeath); k++) {
              if (k != k2){
                if(ng==2)
                  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);
                else
                  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);
                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)]);
                }
                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,") t \"p%d%d\" ", k2,k);
                if ((k+k2)!= (nlstate*2+ndeath)) fprintf(ficgp,",");
                i=i+ncovmodel;
              }
            } /* end k */
          } /* end k2 */
        } /* end jk */
      } /* end ng */
    /* avoid: */
      fflush(ficgp); 
   }  /* end gnuplot */
   
   
   /*************** Moving average **************/
   int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav){
   
     int i, cpt, cptcod;
     int modcovmax =1;
     int mobilavrange, mob;
     double age;
   
     modcovmax=2*cptcoveff;/* Max number of modalities. We suppose 
                              a covariate has 2 modalities */
     if (cptcovn<1) modcovmax=1; /* At least 1 pass */
   
     if(mobilav==1||mobilav ==3 ||mobilav==5 ||mobilav== 7){
       if(mobilav==1) mobilavrange=5; /* default */
       else mobilavrange=mobilav;
       for (age=bage; age<=fage; age++)
         for (i=1; i<=nlstate;i++)
           for (cptcod=1;cptcod<=modcovmax;cptcod++)
             mobaverage[(int)age][i][cptcod]=probs[(int)age][i][cptcod];
       /* We keep the original values on the extreme ages bage, fage and for 
          fage+1 and bage-1 we use a 3 terms moving average; for fage+2 bage+2
          we use a 5 terms etc. until the borders are no more concerned. 
       */ 
       for (mob=3;mob <=mobilavrange;mob=mob+2){
         for (age=bage+(mob-1)/2; age<=fage-(mob-1)/2; age++){
           for (i=1; i<=nlstate;i++){
             for (cptcod=1;cptcod<=modcovmax;cptcod++){
               mobaverage[(int)age][i][cptcod] =probs[(int)age][i][cptcod];
                 for (cpt=1;cpt<=(mob-1)/2;cpt++){
                   mobaverage[(int)age][i][cptcod] +=probs[(int)age-cpt][i][cptcod];
                   mobaverage[(int)age][i][cptcod] +=probs[(int)age+cpt][i][cptcod];
                 }
               mobaverage[(int)age][i][cptcod]=mobaverage[(int)age][i][cptcod]/mob;
             }
           }
         }/* end age */
       }/* end mob */
     }else return -1;
     return 0;
   }/* End movingaverage */
   
   
   /************** Forecasting ******************/
   void prevforecast(char fileres[], double anproj1, double mproj1, double jproj1, double ageminpar, double agemax, double dateprev1, double dateprev2, int mobilav, double bage, double fage, int firstpass, int lastpass, double anproj2, double p[], int cptcoveff){
     /* proj1, year, month, day of starting projection 
        agemin, agemax range of age
        dateprev1 dateprev2 range of dates during which prevalence is computed
        anproj2 year of en of projection (same day and month as proj1).
     */
     int yearp, stepsize, hstepm, nhstepm, j, k, cptcod, i, h, i1;
     double agec; /* generic age */
     double agelim, ppij, yp,yp1,yp2,jprojmean,mprojmean,anprojmean;
     double *popeffectif,*popcount;
     double ***p3mat;
     double ***mobaverage;
     char fileresf[FILENAMELENGTH];
   
     agelim=AGESUP;
     prevalence(probs, ageminpar, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass);
    
     strcpy(fileresf,"f"); 
     strcat(fileresf,fileres);
     if((ficresf=fopen(fileresf,"w"))==NULL) {
       printf("Problem with forecast resultfile: %s\n", fileresf);
       fprintf(ficlog,"Problem with forecast resultfile: %s\n", fileresf);
     }
     printf("Computing forecasting: result on file '%s' \n", fileresf);
     fprintf(ficlog,"Computing forecasting: result on file '%s' \n", fileresf);
   
     if (cptcoveff==0) ncodemax[cptcoveff]=1;
   
     if (mobilav!=0) {
       mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
       if (movingaverage(probs, ageminpar, fage, mobaverage,mobilav)!=0){
         fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
         printf(" Error in movingaverage mobilav=%d\n",mobilav);
       }
     }
   
     stepsize=(int) (stepm+YEARM-1)/YEARM;
     if (stepm<=12) stepsize=1;
     if(estepm < stepm){
       printf ("Problem %d lower than %d\n",estepm, stepm);
     }
     else  hstepm=estepm;   
   
     hstepm=hstepm/stepm; 
     yp1=modf(dateintmean,&yp);/* extracts integral of datemean in yp  and
                                  fractional in yp1 */
     anprojmean=yp;
     yp2=modf((yp1*12),&yp);
     mprojmean=yp;
     yp1=modf((yp2*30.5),&yp);
     jprojmean=yp;
     if(jprojmean==0) jprojmean=1;
     if(mprojmean==0) jprojmean=1;
   
     i1=cptcoveff;
     if (cptcovn < 1){i1=1;}
     
     fprintf(ficresf,"# Mean day of interviews %.lf/%.lf/%.lf (%.2f) between %.2f and %.2f \n",jprojmean,mprojmean,anprojmean,dateintmean,dateprev1,dateprev2); 
     
     fprintf(ficresf,"#****** Routine prevforecast **\n");
   
   /*            if (h==(int)(YEARM*yearp)){ */
     for(cptcov=1, k=0;cptcov<=i1;cptcov++){
       for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){
         k=k+1;
         fprintf(ficresf,"\n#******");
         for(j=1;j<=cptcoveff;j++) {
           fprintf(ficresf," V%d=%d, hpijx=probability over h years, hp.jx is weighted by observed prev ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
         }
         fprintf(ficresf,"******\n");
         fprintf(ficresf,"# Covariate valuofcovar yearproj age");
         for(j=1; j<=nlstate+ndeath;j++){ 
           for(i=1; i<=nlstate;i++)              
             fprintf(ficresf," p%d%d",i,j);
           fprintf(ficresf," p.%d",j);
         }
         for (yearp=0; yearp<=(anproj2-anproj1);yearp +=stepsize) { 
           fprintf(ficresf,"\n");
           fprintf(ficresf,"\n# Forecasting at date %.lf/%.lf/%.lf ",jproj1,mproj1,anproj1+yearp);   
   
           for (agec=fage; agec>=(ageminpar-1); agec--){ 
             nhstepm=(int) rint((agelim-agec)*YEARM/stepm); 
             nhstepm = nhstepm/hstepm; 
             p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
             oldm=oldms;savm=savms;
             hpxij(p3mat,nhstepm,agec,hstepm,p,nlstate,stepm,oldm,savm, k);  
           
             for (h=0; h<=nhstepm; h++){
               if (h*hstepm/YEARM*stepm ==yearp) {
                 fprintf(ficresf,"\n");
                 for(j=1;j<=cptcoveff;j++) 
                   fprintf(ficresf,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][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 */
          
     if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
   
     fclose(ficresf);
   }
   
   /************** Forecasting *****not tested NB*************/
   void populforecast(char fileres[], double anpyram,double mpyram,double jpyram,double ageminpar, double agemax,double dateprev1, double dateprev2, int mobilav, double agedeb, double fage, int popforecast, char popfile[], double anpyram1,double p[], int i2){
     
     int cpt, stepsize, hstepm, nhstepm, j,k,c, cptcod, i,h;
     int *popage;
     double calagedatem, agelim, kk1, kk2;
     double *popeffectif,*popcount;
     double ***p3mat,***tabpop,***tabpopprev;
     double ***mobaverage;
     char filerespop[FILENAMELENGTH];
   
     tabpop= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
     tabpopprev= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
     agelim=AGESUP;
     calagedatem=(anpyram+mpyram/12.+jpyram/365.-dateintmean)*YEARM;
     
     prevalence(probs, ageminpar, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass);
     
     
     strcpy(filerespop,"pop"); 
     strcat(filerespop,fileres);
     if((ficrespop=fopen(filerespop,"w"))==NULL) {
       printf("Problem with forecast resultfile: %s\n", filerespop);
       fprintf(ficlog,"Problem with forecast resultfile: %s\n", filerespop);
     }
     printf("Computing forecasting: result on file '%s' \n", filerespop);
     fprintf(ficlog,"Computing forecasting: result on file '%s' \n", filerespop);
   
     if (cptcoveff==0) ncodemax[cptcoveff]=1;
   
     if (mobilav!=0) {
       mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
       if (movingaverage(probs, ageminpar, fage, mobaverage,mobilav)!=0){
         fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
         printf(" Error in movingaverage mobilav=%d\n",mobilav);
       }
     }
   
     stepsize=(int) (stepm+YEARM-1)/YEARM;
     if (stepm<=12) stepsize=1;
     
     agelim=AGESUP;
     
     hstepm=1;
     hstepm=hstepm/stepm; 
     
     if (popforecast==1) {
       if((ficpop=fopen(popfile,"r"))==NULL) {
         printf("Problem with population file : %s\n",popfile);exit(0);
         fprintf(ficlog,"Problem with population file : %s\n",popfile);exit(0);
       } 
       popage=ivector(0,AGESUP);
       popeffectif=vector(0,AGESUP);
       popcount=vector(0,AGESUP);
       
       i=1;   
       while ((c=fscanf(ficpop,"%d %lf\n",&popage[i],&popcount[i])) != EOF) i=i+1;
      
       imx=i;
       for (i=1; i<imx;i++) popeffectif[popage[i]]=popcount[i];
     }
   
     for(cptcov=1,k=0;cptcov<=i2;cptcov++){
      for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){
         k=k+1;
         fprintf(ficrespop,"\n#******");
         for(j=1;j<=cptcoveff;j++) {
           fprintf(ficrespop," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][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=0;i<=imx-1 ; i++) {
       sump=sump+weight[i];
       /*    sump=sump+1;*/
       num=num+1;
     }
    
    
     /* for (i=0; i<=imx; i++) 
        if (wav[i]>0) printf("i=%d ageex=%lf agecens=%lf agedc=%lf cens=%d %d\n" ,i,ageexmed[i],agecens[i],agedc[i],cens[i],wav[i]);*/
   
     for (i=1;i<=imx ; i++)
       {
         if (cens[i] == 1 && wav[i]>1)
           A=-x[1]/(x[2])*(exp(x[2]*(agecens[i]-agegomp))-exp(x[2]*(ageexmed[i]-agegomp)));
         
         if (cens[i] == 0 && wav[i]>1)
           A=-x[1]/(x[2])*(exp(x[2]*(agedc[i]-agegomp))-exp(x[2]*(ageexmed[i]-agegomp)))
                +log(x[1]/YEARM)+x[2]*(agedc[i]-agegomp)+log(YEARM);  
         
         /*if (wav[i] > 1 && agecens[i] > 15) {*/ /* ??? */
         if (wav[i] > 1 ) { /* ??? */
           L=L+A*weight[i];
           /*      printf("\ni=%d A=%f L=%lf x[1]=%lf x[2]=%lf ageex=%lf agecens=%lf cens=%d agedc=%lf weight=%lf\n",i,A,L,x[1],x[2],ageexmed[i]*12,agecens[i]*12,cens[i],agedc[i]*12,weight[i]);*/
         }
       }
   
    /*printf("x1=%2.9f x2=%2.9f x3=%2.9f L=%f\n",x[1],x[2],x[3],L);*/
    
     return -2*L*num/sump;
   }
   
   #ifdef GSL
   /******************* Gompertz_f Likelihood ******************************/
   double gompertz_f(const gsl_vector *v, void *params)
   { 
     double A,B,LL=0.0,sump=0.,num=0.;
     double *x= (double *) v->data;
     int i,n=0; /* n is the size of the sample */
   
     for (i=0;i<=imx-1 ; i++) {
       sump=sump+weight[i];
       /*    sump=sump+1;*/
       num=num+1;
     }
    
    
     /* for (i=0; i<=imx; i++) 
        if (wav[i]>0) printf("i=%d ageex=%lf agecens=%lf agedc=%lf cens=%d %d\n" ,i,ageexmed[i],agecens[i],agedc[i],cens[i],wav[i]);*/
     printf("x[0]=%lf x[1]=%lf\n",x[0],x[1]);
     for (i=1;i<=imx ; i++)
       {
         if (cens[i] == 1 && wav[i]>1)
           A=-x[0]/(x[1])*(exp(x[1]*(agecens[i]-agegomp))-exp(x[1]*(ageexmed[i]-agegomp)));
         
         if (cens[i] == 0 && wav[i]>1)
           A=-x[0]/(x[1])*(exp(x[1]*(agedc[i]-agegomp))-exp(x[1]*(ageexmed[i]-agegomp)))
                +log(x[0]/YEARM)+x[1]*(agedc[i]-agegomp)+log(YEARM);  
         
         /*if (wav[i] > 1 && agecens[i] > 15) {*/ /* ??? */
         if (wav[i] > 1 ) { /* ??? */
           LL=LL+A*weight[i];
           /*      printf("\ni=%d A=%f L=%lf x[1]=%lf x[2]=%lf ageex=%lf agecens=%lf cens=%d agedc=%lf weight=%lf\n",i,A,L,x[1],x[2],ageexmed[i]*12,agecens[i]*12,cens[i],agedc[i]*12,weight[i]);*/
         }
       }
   
    /*printf("x1=%2.9f x2=%2.9f x3=%2.9f L=%f\n",x[1],x[2],x[3],L);*/
     printf("x[0]=%lf x[1]=%lf -2*LL*num/sump=%lf\n",x[0],x[1],-2*LL*num/sump);
    
     return -2*LL*num/sump;
   }
   #endif
   
   /******************* Printing html file ***********/
   void printinghtmlmort(char fileres[], char title[], char datafile[], int firstpass, \
                     int lastpass, int stepm, int weightopt, char model[],\
                     int imx,  double p[],double **matcov,double agemortsup){
     int i,k;
   
     fprintf(fichtm,"<ul><li><h4>Result files </h4>\n Force of mortality. Parameters of the Gompertz fit (with confidence interval in brackets):<br>");
     fprintf(fichtm,"  mu(age) =%lf*exp(%lf*(age-%d)) per year<br><br>",p[1],p[2],agegomp);
     for (i=1;i<=2;i++) 
       fprintf(fichtm," p[%d] = %lf [%f ; %f]<br>\n",i,p[i],p[i]-2*sqrt(matcov[i][i]),p[i]+2*sqrt(matcov[i][i]));
     fprintf(fichtm,"<br><br><img src=\"graphmort.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 fileres[], char optionfilefiname[], double ageminpar, double agemaxpar, double fage , char pathc[], double p[]){
   
     char dirfileres[132],optfileres[132];
   
     int ng;
   
   
     /*#ifdef windows */
     fprintf(ficgp,"cd \"%s\" \n",pathc);
       /*#endif */
   
   
     strcpy(dirfileres,optionfilefiname);
     strcpy(optfileres,"vpl");
     fprintf(ficgp,"set out \"graphmort.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;
     int linei, month, year,iout;
     char line[MAXLINE], linetmp[MAXLINE];
     char stra[MAXLINE], strb[MAXLINE];
     char *stratrunc;
     int lstra;
   
   
     if((fic=fopen(datafile,"r"))==NULL)    {
       printf("Problem while opening datafile: %s\n", datafile);fflush(stdout);
       fprintf(ficlog,"Problem while opening datafile: %s\n", datafile);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);
     
   
       for (j=maxwav;j>=1;j--){
         cutv(stra, strb, line, ' '); 
         if(strb[0]=='.') { /* Missing status */
           lval=-1;
         }else{
           errno=0;
           lval=strtol(strb,&endptr,10); 
         /*        if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN))*/
           if( strb[0]=='\0' || (*endptr != '\0')){
             printf("Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be a status of wave %d. Setting maxwav=%d might be wrong.  Exiting.\n", strb, linei,i,line,j,maxwav);
             fprintf(ficlog,"Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be a status of wave %d. Setting maxwav=%d might be wrong.  Exiting.\n", strb, linei,i,line,j,maxwav);fflush(ficlog);
             return 1;
           }
         }
         s[j][i]=lval;
         
         strcpy(line,stra);
         cutv(stra, strb,line,' ');
         if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
         }
         else  if( (iout=sscanf(strb,"%s.",dummy)) != 0){
           month=99;
           year=9999;
         }else{
           printf("Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be a date of interview (mm/yyyy or .) at wave %d.  Exiting.\n",strb, linei,i, line,j);
           fprintf(ficlog,"Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be a date of interview (mm/yyyy or .) at wave %d.  Exiting.\n",strb, linei,i, line,j);fflush(ficlog);
           return 1;
         }
         anint[j][i]= (double) year; 
         mint[j][i]= (double)month; 
         strcpy(line,stra);
       } /* ENd Waves */
       
       cutv(stra, strb,line,' '); 
       if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
       }
       else  if( (iout=sscanf(strb,"%s.",dummy)) != 0){
         month=99;
         year=9999;
       }else{
         printf("Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be a date of death (mm/yyyy or .).  Exiting.\n",strb, linei,i,line);
           fprintf(ficlog,"Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be a date of death (mm/yyyy or .).  Exiting.\n",strb, linei,i,line);fflush(ficlog);
           return 1;
       }
       andc[i]=(double) year; 
       moisdc[i]=(double) month; 
       strcpy(line,stra);
       
       cutv(stra, strb,line,' '); 
       if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
       }
       else  if( (iout=sscanf(strb,"%s.", dummy)) != 0){
         month=99;
         year=9999;
       }else{
         printf("Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be a date of birth (mm/yyyy or .).  Exiting.\n",strb, linei,i,line);
         fprintf(ficlog,"Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be a date of birth (mm/yyyy or .).  Exiting.\n",strb, linei,i,line);fflush(ficlog);
           return 1;
       }
       if (year==9999) {
         printf("Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be a date of birth (mm/yyyy) but at least the year of birth should be given.  Exiting.\n",strb, linei,i,line);
         fprintf(ficlog,"Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be a date of birth (mm/yyyy) but at least the year of birth should be given. Exiting.\n",strb, linei,i,line);fflush(ficlog);
           return 1;
   
       }
       annais[i]=(double)(year);
       moisnais[i]=(double)(month); 
       strcpy(line,stra);
       
       cutv(stra, strb,line,' '); 
       errno=0;
       dval=strtod(strb,&endptr); 
       if( strb[0]=='\0' || (*endptr != '\0')){
         printf("Error reading data around '%f' at line number %d, \"%s\" for individual %d\nShould be a weight.  Exiting.\n",dval, i,line,linei);
         fprintf(ficlog,"Error reading data around '%f' at line number %d, \"%s\" for individual %d\nShould be a weight.  Exiting.\n",dval, i,line,linei);
         fflush(ficlog);
         return 1;
       }
       weight[i]=dval; 
       strcpy(line,stra);
       
       for (j=ncovcol;j>=1;j--){
         cutv(stra, strb,line,' '); 
         if(strb[0]=='.') { /* Missing status */
           lval=-1;
         }else{
           errno=0;
           lval=strtol(strb,&endptr,10); 
           if( strb[0]=='\0' || (*endptr != '\0')){
             printf("Error reading data around '%ld' at line number %d for individual %d, '%s'\nShould be a covariate value (=0 for the reference or 1 for alternative).  Exiting.\n",lval, linei,i, line);
             fprintf(ficlog,"Error reading data around '%ld' at line number %d for individual %d, '%s'\nShould be a covariate value (=0 for the reference or 1 for alternative).  Exiting.\n",lval, linei,i, line);fflush(ficlog);
             return 1;
           }
         }
         if(lval <-1 || lval >1){
           printf("Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
    Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
    for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
    For example, for multinomial values like 1, 2 and 3,\n \
    build V1=0 V2=0 for the reference value (1),\n \
           V1=1 V2=0 for (2) \n \
    and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
    output of IMaCh is often meaningless.\n \
    Exiting.\n",lval,linei, i,line,j);
           fprintf(ficlog,"Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
    Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
    for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
    For example, for multinomial values like 1, 2 and 3,\n \
    build V1=0 V2=0 for the reference value (1),\n \
           V1=1 V2=0 for (2) \n \
    and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
    output of IMaCh is often meaningless.\n \
    Exiting.\n",lval,linei, i,line,j);fflush(ficlog);
           return 1;
         }
         covar[j][i]=(double)(lval);
         strcpy(line,stra);
       }  
       lstra=strlen(stra);
        
       if(lstra > 9){ /* More than 2**32 or max of what printf can write with %ld */
         stratrunc = &(stra[lstra-9]);
         num[i]=atol(stratrunc);
       }
       else
         num[i]=atol(stra);
       /*if((s[2][i]==2) && (s[3][i]==-1)&&(s[4][i]==9)){
         printf("%ld %.lf %.lf %.lf %.lf/%.lf %.lf/%.lf %.lf/%.lf %d %.lf/%.lf %d %.lf/%.lf %d %.lf/%.lf %d\n",num[i],(covar[1][i]), (covar[2][i]),weight[i], (moisnais[i]), (annais[i]), (moisdc[i]), (andc[i]), (mint[1][i]), (anint[1][i]), (s[1][i]),  (mint[2][i]), (anint[2][i]), (s[2][i]),  (mint[3][i]), (anint[3][i]), (s[3][i]),  (mint[4][i]), (anint[4][i]), (s[4][i])); ij=ij+1;}*/
       
       i=i+1;
     } /* End loop reading  data */
   
     *imax=i-1; /* Number of individuals */
     fclose(fic);
    
     return (0);
     /* endread: */
       printf("Exiting readdata: ");
       fclose(fic);
       return (1);
   
   
   
   }
   void removespace(char *str) {
     char *p1 = str, *p2 = str;
     do
       while (*p2 == ' ')
         p2++;
     while (*p1++ == *p2++);
   }
   
   int decodemodel ( char model[], int lastobs) /**< This routine decode the model and returns:
      * Model  V1+V2+V3+V8+V7*V8+V5*V6+V8*age+V3*age+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;
   
     for (i=1; i<=imx; i++) {
       for(m=2; (m<= maxwav); m++) {
         if (((int)mint[m][i]== 99) && (s[m][i] <= nlstate)){
           anint[m][i]=9999;
           s[m][i]=-1;
         }
         if((int)moisdc[i]==99 && (int)andc[i]==9999 && s[m][i]>nlstate){
           *nberr = *nberr + 1;
           printf("Error! Date of death (month %2d and year %4d) of individual %ld on line %d was unknown, you must set an arbitrary year of death or he/she is skipped and results are biased (%d)\n",(int)moisdc[i],(int)andc[i],num[i],i, *nberr);
           fprintf(ficlog,"Error! Date of death (month %2d and year %4d) of individual %ld on line %d was unknown, you must set an arbitrary year of death or he/she is skipped and results are biased (%d)\n",(int)moisdc[i],(int)andc[i],num[i],i, *nberr);
           s[m][i]=-1;
         }
         if((int)moisdc[i]==99 && (int)andc[i]!=9999 && s[m][i]>nlstate){
           (*nberr)++;
           printf("Error! Month of death of individual %ld on line %d was unknown %2d, you should set it otherwise the information on the death is skipped and results are biased.\n",num[i],i,(int)moisdc[i]); 
           fprintf(ficlog,"Error! Month of death of individual %ld on line %d was unknown %f, you should set it otherwise the information on the death is skipped and results are biased.\n",num[i],i,moisdc[i]); 
           s[m][i]=-1; /* We prefer to skip it (and to skip it in version 0.8a1 too */
         }
       }
     }
   
     for (i=1; i<=imx; i++)  {
       agedc[i]=(moisdc[i]/12.+andc[i])-(moisnais[i]/12.+annais[i]);
       for(m=firstpass; (m<= lastpass); m++){
         if(s[m][i] >0 || s[m][i]==-2 || s[m][i]==-4 || s[m][i]==-5){
           if (s[m][i] >= nlstate+1) {
             if(agedc[i]>0){
               if((int)moisdc[i]!=99 && (int)andc[i]!=9999){
                 agev[m][i]=agedc[i];
             /*if(moisdc[i]==99 && andc[i]==9999) s[m][i]=-1;*/
               }else {
                 if ((int)andc[i]!=9999){
                   nbwarn++;
                   printf("Warning negative age at death: %ld line:%d\n",num[i],i);
                   fprintf(ficlog,"Warning negative age at death: %ld line:%d\n",num[i],i);
                   agev[m][i]=-1;
                 }
               }
             } /* agedc > 0 */
           }
           else if(s[m][i] !=9){ /* Standard case, age in fractional
                                    years but with the precision of a month */
             agev[m][i]=(mint[m][i]/12.+1./24.+anint[m][i])-(moisnais[i]/12.+1./24.+annais[i]);
             if((int)mint[m][i]==99 || (int)anint[m][i]==9999)
               agev[m][i]=1;
             else if(agev[m][i] < *agemin){ 
               *agemin=agev[m][i];
               printf(" Min anint[%d][%d]=%.2f annais[%d]=%.2f, agemin=%.2f\n",m,i,anint[m][i], i,annais[i], *agemin);
             }
             else if(agev[m][i] >*agemax){
               *agemax=agev[m][i];
               /* printf(" Max anint[%d][%d]=%.0f annais[%d]=%.0f, agemax=%.2f\n",m,i,anint[m][i], i,annais[i], *agemax);*/
             }
             /*agev[m][i]=anint[m][i]-annais[i];*/
             /*     agev[m][i] = age[i]+2*m;*/
           }
           else { /* =9 */
             agev[m][i]=1;
             s[m][i]=-1;
           }
         }
         else /*= 0 Unknown */
           agev[m][i]=1;
       }
       
     }
     for (i=1; i<=imx; i++)  {
       for(m=firstpass; (m<=lastpass); m++){
         if (s[m][i] > (nlstate+ndeath)) {
           (*nberr)++;
           printf("Error: on wave %d of individual %d status %d > (nlstate+ndeath)=(%d+%d)=%d\n",m,i,s[m][i],nlstate, ndeath, nlstate+ndeath);     
           fprintf(ficlog,"Error: on wave %d of individual %d status %d > (nlstate+ndeath)=(%d+%d)=%d\n",m,i,s[m][i],nlstate, ndeath, nlstate+ndeath);     
           return 1;
         }
       }
     }
   
     /*for (i=1; i<=imx; i++){
     for (m=firstpass; (m<lastpass); m++){
        printf("%ld %d %.lf %d %d\n", num[i],(covar[1][i]),agev[m][i],s[m][i],s[m+1][i]);
   }
   
   }*/
   
   
     printf("Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, *agemin, *agemax);
     fprintf(ficlog,"Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, *agemin, *agemax); 
   
     return (0);
    /* endread:*/
       printf("Exiting calandcheckages: ");
       return (1);
   }
   
   #if defined(_MSC_VER)
   /*printf("Visual C++ compiler: %s \n;", _MSC_FULL_VER);*/
   /*fprintf(ficlog, "Visual C++ compiler: %s \n;", _MSC_FULL_VER);*/
   //#include "stdafx.h"
   //#include <stdio.h>
   //#include <tchar.h>
   //#include <windows.h>
   //#include <iostream>
   typedef BOOL(WINAPI *LPFN_ISWOW64PROCESS) (HANDLE, PBOOL);
   
   LPFN_ISWOW64PROCESS fnIsWow64Process;
   
   BOOL IsWow64()
   {
           BOOL bIsWow64 = FALSE;
   
           //typedef BOOL (APIENTRY *LPFN_ISWOW64PROCESS)
           //  (HANDLE, PBOOL);
   
           //LPFN_ISWOW64PROCESS fnIsWow64Process;
   
           HMODULE module = GetModuleHandle(_T("kernel32"));
           const char funcName[] = "IsWow64Process";
           fnIsWow64Process = (LPFN_ISWOW64PROCESS)
                   GetProcAddress(module, funcName);
   
           if (NULL != fnIsWow64Process)
           {
                   if (!fnIsWow64Process(GetCurrentProcess(),
                           &bIsWow64))
                           //throw std::exception("Unknown error");
                           printf("Unknown error\n");
           }
           return bIsWow64 != FALSE;
   }
   #endif
   
   void syscompilerinfo(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){
     /*--------------- Prevalence limit  (period or stable prevalence) --------------*/
     int i, j, k, i1 ;
     double ftolpl = 1.e-10;
     double age, agebase, agelim;
   
       strcpy(filerespl,"pl");
       strcat(filerespl,fileres);
       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 \n");
       fprintf(ficrespl,"#Age ");
       for(i=1; i<=nlstate;i++) fprintf(ficrespl,"%d-%d ",i,i);
       fprintf(ficrespl,"\n");
     
       /* prlim=matrix(1,nlstate,1,nlstate);*/ /* back in main */
   
       agebase=ageminpar;
       agelim=agemaxpar;
   
       i1=pow(2,cptcoveff);
       if (cptcovn < 1){i1=1;}
   
       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");
   
           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,"\n");
           
           for (age=agebase; age<=agelim; age++){
           /* for (age=agebase; age<=agebase; age++){ */
             prevalim(prlim, nlstate, p, age, oldm, savm,ftolpl,k);
             fprintf(ficrespl,"%.0f ",age );
             for(j=1;j<=cptcoveff;j++)
               fprintf(ficrespl,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
             for(i=1; i<=nlstate;i++)
               fprintf(ficrespl," %.5f", prlim[i][i]);
             fprintf(ficrespl,"\n");
           } /* Age */
           /* was end of cptcod */
       } /* cptcov */
           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,fileres);
       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;
   }
   
   
   /***********************************************/
   /**************** Main Program *****************/
   /***********************************************/
   
   int main(int argc, char *argv[])
   {
   #ifdef GSL
     const gsl_multimin_fminimizer_type *T;
     size_t iteri = 0, it;
     int rval = GSL_CONTINUE;
     int status = GSL_SUCCESS;
     double ssval;
   #endif
     int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav);
     int i,j, k, n=MAXN,iter=0,m,size=100, cptcod;
   
     int jj, ll, li, lj, lk;
     int numlinepar=0; /* Current linenumber of parameter file */
     int 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 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 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 ***param; /* Matrix of parameters */
     double  *p;
     double **matcov; /* Matrix of covariance */
     double ***delti3; /* Scale */
     double *delti; /* Scale */
     double ***eij, ***vareij;
     double **varpl; /* Variances of prevalence limits by age */
     double *epj, vepp;
   
     double dateprev1, dateprev2,jproj1=1,mproj1=1,anproj1=2000,jproj2=1,mproj2=1,anproj2=2000;
     double **ximort;
     char *alph[]={"a","a","b","c","d","e"}, str[4]="1234";
     int *dcwave;
   
     char z[1]="c";
   
     /*char  *strt;*/
     char strtend[80];
   
   
   /*   setlocale (LC_ALL, ""); */
   /*   bindtextdomain (PACKAGE, LOCALEDIR); */
   /*   textdomain (PACKAGE); */
   /*   setlocale (LC_CTYPE, ""); */
   /*   setlocale (LC_MESSAGES, ""); */
   
     /*   gettimeofday(&start_time, (struct timezone*)0); */ /* at first time */
     rstart_time = time(NULL);  
     /*  (void) gettimeofday(&start_time,&tzp);*/
     start_time = *localtime(&rstart_time);
     curr_time=start_time;
     /*tml = *localtime(&start_time.tm_sec);*/
     /* strcpy(strstart,asctime(&tml)); */
     strcpy(strstart,asctime(&start_time));
   
   /*  printf("Localtime (at start)=%s",strstart); */
   /*  tp.tm_sec = tp.tm_sec +86400; */
   /*  tm = *localtime(&start_time.tm_sec); */
   /*   tmg.tm_year=tmg.tm_year +dsign*dyear; */
   /*   tmg.tm_mon=tmg.tm_mon +dsign*dmonth; */
   /*   tmg.tm_hour=tmg.tm_hour + 1; */
   /*   tp.tm_sec = mktime(&tmg); */
   /*   strt=asctime(&tmg); */
   /*   printf("Time(after) =%s",strstart);  */
   /*  (void) time (&time_value);
   *  printf("time=%d,t-=%d\n",time_value,time_value-86400);
   *  tm = *localtime(&time_value);
   *  strstart=asctime(&tm);
   *  printf("tim_value=%d,asctime=%s\n",time_value,strstart); 
   */
   
     nberr=0; /* Number of errors and warnings */
     nbwarn=0;
   #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: ");
       fgets(pathr,FILENAMELENGTH,stdin);
       i=strlen(pathr);
       if(pathr[i-1]=='\n')
         pathr[i-1]='\0';
       i=strlen(pathr);
       if(pathr[i-1]==' ') /* This may happen when dragging on oS/X! */
         pathr[i-1]='\0';
      for (tok = pathr; tok != NULL; ){
         printf("Pathr |%s|\n",pathr);
         while ((val = strsep(&tok, "\"" )) != NULL && *val == '\0');
         printf("val= |%s| pathr=%s\n",val,pathr);
         strcpy (pathtot, val);
         if(pathr[0] == '\0') break; /* Dirty */
       }
     }
     else{
       strcpy(pathtot,argv[1]);
     }
     /*if(getcwd(pathcd, MAXLINE)!= NULL)printf ("Error pathcd\n");*/
     /*cygwin_split_path(pathtot,path,optionfile);
       printf("pathtot=%s, path=%s, optionfile=%s\n",pathtot,path,optionfile);*/
     /* cutv(path,optionfile,pathtot,'\\');*/
   
     /* Split argv[0], imach program to get pathimach */
     printf("\nargv[0]=%s argv[1]=%s, \n",argv[0],argv[1]);
     split(argv[0],pathimach,optionfile,optionfilext,optionfilefiname);
     printf("\nargv[0]=%s pathimach=%s, \noptionfile=%s \noptionfilext=%s \noptionfilefiname=%s\n",argv[0],pathimach,optionfile,optionfilext,optionfilefiname);
    /*   strcpy(pathimach,argv[0]); */
     /* Split argv[1]=pathtot, parameter file name to get path, optionfile, extension and name */
     split(pathtot,path,optionfile,optionfilext,optionfilefiname);
     printf("\npathtot=%s,\npath=%s,\noptionfile=%s \noptionfilext=%s \noptionfilefiname=%s\n",pathtot,path,optionfile,optionfilext,optionfilefiname);
   #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(fileres,".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,fileres);
     if((ficparo=fopen(filereso,"w"))==NULL) { /* opened on subdirectory */
       printf("Problem with Output resultfile: %s\n", filereso);
       fprintf(ficlog,"Problem with Output resultfile: %s\n", filereso);
       fflush(ficlog);
       goto end;
     }
   
     /* Reads comments: lines beginning with '#' */
     numlinepar=0;
   
       /* 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 nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\n", \
                           &ftol, &stepm, &ncovcol, &nlstate, &ndeath, &maxwav, &mle, &weightopt)) !=EOF){
       if (num_filled != 8) {
         printf("Not 8\n");
       }
       printf("ftol=%e stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\n",ftol, stepm, ncovcol, nlstate,ndeath, maxwav, mle, weightopt);
     }
   
     /* 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]\n", model)) !=EOF){
       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); */
     }
     /* 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); */
     if(model[strlen(model)-1]=='.') /* Suppressing leading dot in the model */
       model[strlen(model)-1]='\0';
     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=1+age%s.\n", title, datafile, lastobs, firstpass,lastpass,ftol,stepm,ncovcol,nlstate,ndeath,maxwav, mle, weightopt,model);
     fprintf(ficlog,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\nmodel=1+age%s.\n", title, datafile, lastobs, firstpass,lastpass,ftol,stepm,ncovcol,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 */
     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==-3) { /* 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);
     }
     else{
       /* Read guessed parameters */
       /* Reads comments: lines beginning with '#' */
       while((c=getc(ficpar))=='#' && c!= EOF){
         ungetc(c,ficpar);
         fgets(line, MAXLINE, ficpar);
         numlinepar++;
         fputs(line,stdout);
         fputs(line,ficparo);
         fputs(line,ficlog);
       }
       ungetc(c,ficpar);
       
       param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
       for(i=1; i <=nlstate; i++){
         j=0;
         for(jj=1; jj <=nlstate+ndeath; jj++){
           if(jj==i) continue;
           j++;
           fscanf(ficpar,"%1d%1d",&i1,&j1);
           if ((i1 != i) || (j1 != 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);
       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", fileres);goto end;
         fprintf(ficlog,"Problem writing new parameter file: %s\n", fileres);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);
     agedc=vector(1,n);
     cod=ivector(1,n);
     weight=vector(1,n);
     for(i=1;i<=n;i++) weight[i]=1.0; /* Equal weights, 1 by default */
     mint=matrix(1,maxwav,1,n);
     anint=matrix(1,maxwav,1,n);
     s=imatrix(1,maxwav+1,1,n); /* s[i][j] health state for wave i and individual j */ 
     tab=ivector(1,NCOVMAX);
     ncodemax=ivector(1,NCOVMAX); /* Number of code per covariate; if O and 1 only, 2**ncov; V1+V2+V3+V4=>16 */
     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)
       goto end;
   
     if((double)(lastobs-imx)/(double)imx > 1.10){
       nbwarn++;
       printf("Warning: The value of parameter lastobs=%d is big compared to the \n  effective number of cases imx=%d, please adjust, \n  otherwise you are allocating more memory than necessary.\n",lastobs, imx); 
       fprintf(ficlog,"Warning: The value of parameter lastobs=%d is big compared to the \n  effective number of cases imx=%d, please adjust, \n  otherwise you are allocating more memory than necessary.\n",lastobs, imx); 
     }
       /*  if(mle==1){*/
     if (weightopt != 1) { /* Maximisation without weights. We can have weights different from 1 but want no weight*/
       for(i=1;i<=imx;i++) weight[i]=1.0; /* changed to imx */
     }
   
       /*-calculation of age at interview from date of interview and age at death -*/
     agev=matrix(1,maxwav,1,imx);
   
     if(calandcheckages(imx, maxwav, &agemin, &agemax, &nberr, &nbwarn) == 1)
       goto end;
   
   
     agegomp=(int)agemin;
     free_vector(moisnais,1,n);
     free_vector(annais,1,n);
     /* free_matrix(mint,1,maxwav,1,n);
        free_matrix(anint,1,maxwav,1,n);*/
     free_vector(moisdc,1,n);
     free_vector(andc,1,n);
     /* */
     
     wav=ivector(1,imx);
     dh=imatrix(1,lastpass-firstpass+1,1,imx);
     bh=imatrix(1,lastpass-firstpass+1,1,imx);
     mw=imatrix(1,lastpass-firstpass+1,1,imx);
      
     /* Concatenates waves */
     concatwav(wav, dh, bh, mw, s, agedc, agev,  firstpass, lastpass, imx, nlstate, stepm);
     /* */
    
     /* Routine tricode is to calculate cptcoveff (real number of unique covariates) and to associate covariable number and modality */
   
     nbcode=imatrix(0,NCOVMAX,0,NCOVMAX); 
     ncodemax[1]=1;
     Ndum =ivector(-1,NCOVMAX);  
     if (ncovmodel-nagesqr > 2 ) /* That is if covariate other than cst, age and age*age */
       tricode(Tvar,nbcode,imx, Ndum); /**< Fills nbcode[Tvar[j]][l]; */
     /* Nbcode gives the value of the lth modality of jth covariate, in
        V2+V1*age, there are 3 covariates Tvar[2]=1 (V1).*/
     /* 1 to ncodemax[j] 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).*/
     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 2**k
              * codtabm(h,k)=  1 & (h-1) >> (k-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
              */
     for(h=1; h <=100 ;h++){ 
       /* printf("h=%2d ", h); */
        /* for(k=1; k <=10; k++){ */
          /* printf("k=%d %d ",k,codtabm(h,k)); */
        /*   codtab[h][k]=codtabm(h,k); */
        /* } */
        /* printf("\n"); */
     }
     /* for(k=1;k<=cptcoveff; k++){ /\* scans any effective covariate *\/ */
     /*   for(i=1; i <=pow(2,cptcoveff-k);i++){ /\* i=1 to 8/1=8; i=1 to 8/2=4; i=1 to 8/8=1 *\/  */
     /*     for(j=1; j <= ncodemax[k]; j++){ /\* For each modality of this covariate ncodemax=2*\/ */
     /*    for(cpt=1; cpt <=pow(2,k-1); cpt++){  /\* cpt=1 to 8/2**(3+1-1 or 3+1-3) =1 or 4 *\/  */
     /*      h++; */
     /*      if (h>m)  */
     /*        h=1; */
     /*      codtab[h][k]=j; */
     /*      /\* codtab[12][3]=1; *\/ */
     /*      /\*codtab[h][Tvar[k]]=j;*\/ */
     /*      /\* printf("h=%d k=%d j=%d codtab[h][k]=%d Tvar[k]=%d codtab[h][Tvar[k]]=%d \n",h, k,j,codtab[h][k],Tvar[k],codtab[h][Tvar[k]]); *\/ */
     /*    }  */
     /*     } */
     /*   } */
     /* }  */
     /* printf("codtab[1][2]=%d codtab[2][2]=%d",codtab[1][2],codtab[2][2]); 
        codtab[1][2]=1;codtab[2][2]=2; */
     /* for(i=1; i <=m ;i++){  */
     /*    for(k=1; k <=cptcovn; k++){ */
     /*      printf("i=%d k=%d %d %d ",i,k,codtab[i][k], cptcoveff); */
     /*    } */
     /*    printf("\n"); */
     /* } */
     /*   scanf("%d",i);*/
   
    free_ivector(Ndum,-1,NCOVMAX);
   
   
       
     /* 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# %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=%s<br>\n",\
             optionfilehtmcov,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);
     }
   
     fprintf(fichtm,"<html><head>\n<title>IMaCh %s</title></head>\n <body><font size=\"2\">%s <br> %s</font> \
   <hr size=\"2\" color=\"#EC5E5E\"> \n\
   Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=%s<br>\n\
   \n\
   <hr  size=\"2\" color=\"#EC5E5E\">\
    <ul><li><h4>Parameter files</h4>\n\
    - Parameter file: <a href=\"%s.%s\">%s.%s</a><br>\n\
    - Copy of the parameter file: <a href=\"o%s\">o%s</a><br>\n\
    - Log file of the run: <a href=\"%s\">%s</a><br>\n\
    - Gnuplot file name: <a href=\"%s\">%s</a><br>\n\
    - Date and time at start: %s</ul>\n",\
             optionfilehtm,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model,\
             optionfilefiname,optionfilext,optionfilefiname,optionfilext,\
             fileres,fileres,\
             filelog,filelog,optionfilegnuplot,optionfilegnuplot,strstart);
     fflush(fichtm);
   
     strcpy(pathr,path);
     strcat(pathr,optionfilefiname);
   #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 prints on file fileres'p'. */
     freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint,strstart);
   
     fprintf(fichtm,"\n");
     fprintf(fichtm,"<br>Total number of observations=%d <br>\n\
   Youngest age at first (selected) pass %.2f, oldest age %.2f<br>\n\
   Interval (in months) between two waves: Min=%d Max=%d Mean=%.2lf<br>\n",\
             imx,agemin,agemax,jmin,jmax,jmean);
     pmmij= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
       oldms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
       newms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
       savms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
       oldm=oldms; newm=newms; savm=savms; /* Keeps fixed addresses to free */
       
      
     /* For Powell, parameters are in a vector p[] starting at p[1]
        so we point p on param[1][1] so that p[1] maps on param[1][1][1] */
     p=param[1][1]; /* *(*(*(param +1)+1)+0) */
   
     globpr=0; /* To get the number ipmx of contributions and the sum of weights*/
     /* For mortality only */
     if (mle==-3){
       ximort=matrix(1,NDIM,1,NDIM); 
       /*     ximort=gsl_matrix_alloc(1,NDIM,1,NDIM); */
       cens=ivector(1,n);
       ageexmed=vector(1,n);
       agecens=vector(1,n);
       dcwave=ivector(1,n);
    
       for (i=1; i<=imx; i++){
         dcwave[i]=-1;
         for (m=firstpass; m<=lastpass; m++)
           if (s[m][i]>nlstate) {
             dcwave[i]=m;
             /*    printf("i=%d j=%d s=%d dcwave=%d\n",i,j, s[j][i],dcwave[i]);*/
             break;
           }
       }
   
       for (i=1; i<=imx; i++) {
         if (wav[i]>0){
           ageexmed[i]=agev[mw[1][i]][i];
           j=wav[i];
           agecens[i]=1.; 
   
           if (ageexmed[i]> 1 && wav[i] > 0){
             agecens[i]=agev[mw[j][i]][i];
             cens[i]= 1;
           }else if (ageexmed[i]< 1) 
             cens[i]= -1;
           if (agedc[i]< AGESUP && agedc[i]>1 && dcwave[i]>firstpass && dcwave[i]<=lastpass)
             cens[i]=0 ;
         }
         else cens[i]=-1;
       }
       
       for (i=1;i<=NDIM;i++) {
         for (j=1;j<=NDIM;j++)
           ximort[i][j]=(i == j ? 1.0 : 0.0);
       }
       
       /*p[1]=0.0268; p[NDIM]=0.083;*/
       /*printf("%lf %lf", p[1], p[2]);*/
       
       
   #ifdef GSL
       printf("GSL optimization\n");  fprintf(ficlog,"Powell\n");
   #else
       printf("Powell\n");  fprintf(ficlog,"Powell\n");
   #endif
       strcpy(filerespow,"pow-mort"); 
       strcat(filerespow,fileres);
       if((ficrespow=fopen(filerespow,"w"))==NULL) {
         printf("Problem with resultfile: %s\n", filerespow);
         fprintf(ficlog,"Problem with resultfile: %s\n", filerespow);
       }
   #ifdef GSL
       fprintf(ficrespow,"# GSL optimization\n# iter -2*LL");
   #else
       fprintf(ficrespow,"# Powell\n# iter -2*LL");
   #endif
       /*  for (i=1;i<=nlstate;i++)
           for(j=1;j<=nlstate+ndeath;j++)
           if(j!=i)fprintf(ficrespow," p%1d%1d",i,j);
       */
       fprintf(ficrespow,"\n");
   #ifdef GSL
       /* gsl starts here */ 
       T = gsl_multimin_fminimizer_nmsimplex;
       gsl_multimin_fminimizer *sfm = NULL;
       gsl_vector *ss, *x;
       gsl_multimin_function minex_func;
   
       /* Initial vertex size vector */
       ss = gsl_vector_alloc (NDIM);
       
       if (ss == NULL){
         GSL_ERROR_VAL ("failed to allocate space for ss", GSL_ENOMEM, 0);
       }
       /* Set all step sizes to 1 */
       gsl_vector_set_all (ss, 0.001);
   
       /* Starting point */
       
       x = gsl_vector_alloc (NDIM);
       
       if (x == NULL){
         gsl_vector_free(ss);
         GSL_ERROR_VAL ("failed to allocate space for x", GSL_ENOMEM, 0);
       }
     
       /* Initialize method and iterate */
       /*     p[1]=0.0268; p[NDIM]=0.083; */
       /*     gsl_vector_set(x, 0, 0.0268); */
       /*     gsl_vector_set(x, 1, 0.083); */
       gsl_vector_set(x, 0, p[1]);
       gsl_vector_set(x, 1, p[2]);
   
       minex_func.f = &gompertz_f;
       minex_func.n = NDIM;
       minex_func.params = (void *)&p; /* ??? */
       
       sfm = gsl_multimin_fminimizer_alloc (T, NDIM);
       gsl_multimin_fminimizer_set (sfm, &minex_func, x, ss);
       
       printf("Iterations beginning .....\n\n");
       printf("Iter. #    Intercept       Slope     -Log Likelihood     Simplex size\n");
   
       iteri=0;
       while (rval == GSL_CONTINUE){
         iteri++;
         status = gsl_multimin_fminimizer_iterate(sfm);
         
         if (status) printf("error: %s\n", gsl_strerror (status));
         fflush(0);
         
         if (status) 
           break;
         
         rval = gsl_multimin_test_size (gsl_multimin_fminimizer_size (sfm), 1e-6);
         ssval = gsl_multimin_fminimizer_size (sfm);
         
         if (rval == GSL_SUCCESS)
           printf ("converged to a local maximum at\n");
         
         printf("%5d ", iteri);
         for (it = 0; it < NDIM; it++){
           printf ("%10.5f ", gsl_vector_get (sfm->x, it));
         }
         printf("f() = %-10.5f ssize = %.7f\n", sfm->fval, ssval);
       }
       
       printf("\n\n Please note: Program should be run many times with varying starting points to detemine global maximum\n\n");
       
       gsl_vector_free(x); /* initial values */
       gsl_vector_free(ss); /* inital step size */
       for (it=0; it<NDIM; it++){
         p[it+1]=gsl_vector_get(sfm->x,it);
         fprintf(ficrespow," %.12lf", p[it]);
       }
       gsl_multimin_fminimizer_free (sfm); /* p *(sfm.x.data) et p *(sfm.x.data+1)  */
   #endif
   #ifdef POWELL
        powell(p,ximort,NDIM,ftol,&iter,&fret,gompertz);
   #endif  
       fclose(ficrespow);
       
       hesscov(matcov, p, NDIM, delti, 1e-4, gompertz); 
   
       for(i=1; i <=NDIM; i++)
         for(j=i+1;j<=NDIM;j++)
           matcov[i][j]=matcov[j][i];
       
       printf("\nCovariance matrix\n ");
       for(i=1; i <=NDIM; i++) {
         for(j=1;j<=NDIM;j++){ 
           printf("%f ",matcov[i][j]);
         }
         printf("\n ");
       }
       
       printf("iter=%d MLE=%f Eq=%lf*exp(%lf*(age-%d))\n",iter,-gompertz(p),p[1],p[2],agegomp);
       for (i=1;i<=NDIM;i++) {
         printf("%f [%f ; %f]\n",p[i],p[i]-2*sqrt(matcov[i][i]),p[i]+2*sqrt(matcov[i][i]));
         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 / */
       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
         printinggnuplotmort(fileres, optionfilefiname,ageminpar,agemaxpar,fage, pathc,p);
       printinghtmlmort(fileres,title,datafile, firstpass, lastpass, \
                        stepm, weightopt,\
                        model,imx,p,matcov,agemortsup);
       
       free_vector(lsurv,1,AGESUP);
       free_vector(lpop,1,AGESUP);
       free_vector(tpop,1,AGESUP);
   #ifdef GSL
       free_ivector(cens,1,n);
       free_vector(agecens,1,n);
       free_ivector(dcwave,1,n);
       free_matrix(ximort,1,NDIM,1,NDIM);
   #endif
     } /* Endof if mle==-3 mortality only */
     /* Standard maximisation */
     else{ /* For mle >=1 */
       globpr=0;/* debug */
       /* Computes likelihood for initial parameters */
       likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
       printf("First Likeli=%12.6f ipmx=%ld sw=%12.6f",fretone,ipmx,sw);
       for (k=1; k<=npar;k++)
         printf(" %d %8.5f",k,p[k]);
       printf("\n");
       globpr=1; /* again, to print the contributions */
       likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
       printf("Second Likeli=%12.6f ipmx=%ld sw=%12.6f",fretone,ipmx,sw);
       for (k=1; k<=npar;k++)
         printf(" %d %8.5f",k,p[k]);
       printf("\n");
       if(mle>=1){ /* Could be 1 or 2, Real Maximisation */
         mlikeli(ficres,p, npar, ncovmodel, nlstate, ftol, func);
       }
       
       /*--------- results files --------------*/
       fprintf(ficres,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle= 0 weight=%d\nmodel=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 */
         ftolhess=ftol; /* Usually correct */
         hesscov(matcov, 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");
           }
         }
       }
   
       fprintf(ficres,"# Scales (for hessian or gradient estimation)\n");
       printf("# Scales (for hessian or gradient estimation)\n");
       fprintf(ficlog,"# Scales (for hessian or gradient estimation)\n");
       for(i=1,jk=1; i <=nlstate; i++){
         for(j=1; j <=nlstate+ndeath; j++){
           if (j!=i) {
             fprintf(ficres,"%1d%1d",i,j);
             printf("%1d%1d",i,j);
             fprintf(ficlog,"%1d%1d",i,j);
             for(k=1; k<=ncovmodel;k++){
               printf(" %.5e",delti[jk]);
               fprintf(ficlog," %.5e",delti[jk]);
               fprintf(ficres," %.5e",delti[jk]);
               jk++;
             }
             printf("\n");
             fprintf(ficlog,"\n");
             fprintf(ficres,"\n");
           }
         }
       }
       
       fprintf(ficres,"# Covariance matrix \n# 121 Var(a12)\n# 122 Cov(b12,a12) Var(b12)\n#   ...\n# 232 Cov(b23,a12)  Cov(b23,b12) ... Var (b23)\n");
       if(mle>=1)
         printf("# Covariance matrix \n# 121 Var(a12)\n# 122 Cov(b12,a12) Var(b12)\n#   ...\n# 232 Cov(b23,a12)  Cov(b23,b12) ... Var (b23)\n");
       fprintf(ficlog,"# Covariance matrix \n# 121 Var(a12)\n# 122 Cov(b12,a12) Var(b12)\n#   ...\n# 232 Cov(b23,a12)  Cov(b23,b12) ... Var (b23)\n");
       /* # 121 Var(a12)\n\ */
       /* # 122 Cov(b12,a12) Var(b12)\n\ */
       /* # 131 Cov(a13,a12) Cov(a13,b12, Var(a13)\n\ */
       /* # 132 Cov(b13,a12) Cov(b13,b12, Cov(b13,a13) Var(b13)\n\ */
       /* # 212 Cov(a21,a12) Cov(a21,b12, Cov(a21,a13) Cov(a21,b13) Var(a21)\n\ */
       /* # 212 Cov(b21,a12) Cov(b21,b12, Cov(b21,a13) Cov(b21,b13) Cov(b21,a21) Var(b21)\n\ */
       /* # 232 Cov(a23,a12) Cov(a23,b12, Cov(a23,a13) Cov(a23,b13) Cov(a23,a21) Cov(a23,b21) Var(a23)\n\ */
       /* # 232 Cov(b23,a12) Cov(b23,b12) ... Var (b23)\n" */
       
       
       /* Just to have a covariance matrix which will be more understandable
          even is we still don't want to manage dictionary of variables
       */
       for(itimes=1;itimes<=2;itimes++){
         jj=0;
         for(i=1; i <=nlstate; i++){
           for(j=1; j <=nlstate+ndeath; j++){
             if(j==i) continue;
             for(k=1; k<=ncovmodel;k++){
               jj++;
               ca[0]= k+'a'-1;ca[1]='\0';
               if(itimes==1){
                 if(mle>=1)
                   printf("#%1d%1d%d",i,j,k);
                 fprintf(ficlog,"#%1d%1d%d",i,j,k);
                 fprintf(ficres,"#%1d%1d%d",i,j,k);
               }else{
                 if(mle>=1)
                   printf("%1d%1d%d",i,j,k);
                 fprintf(ficlog,"%1d%1d%d",i,j,k);
                 fprintf(ficres,"%1d%1d%d",i,j,k);
               }
               ll=0;
               for(li=1;li <=nlstate; li++){
                 for(lj=1;lj <=nlstate+ndeath; lj++){
                   if(lj==li) continue;
                   for(lk=1;lk<=ncovmodel;lk++){
                     ll++;
                     if(ll<=jj){
                       cb[0]= lk +'a'-1;cb[1]='\0';
                       if(ll<jj){
                         if(itimes==1){
                           if(mle>=1)
                             printf(" Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                           fprintf(ficlog," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                           fprintf(ficres," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                         }else{
                           if(mle>=1)
                             printf(" %.5e",matcov[jj][ll]); 
                           fprintf(ficlog," %.5e",matcov[jj][ll]); 
                           fprintf(ficres," %.5e",matcov[jj][ll]); 
                         }
                       }else{
                         if(itimes==1){
                           if(mle>=1)
                             printf(" Var(%s%1d%1d)",ca,i,j);
                           fprintf(ficlog," Var(%s%1d%1d)",ca,i,j);
                           fprintf(ficres," Var(%s%1d%1d)",ca,i,j);
                         }else{
                           if(mle>=1)
                             printf(" %.5e",matcov[jj][ll]); 
                           fprintf(ficlog," %.5e",matcov[jj][ll]); 
                           fprintf(ficres," %.5e",matcov[jj][ll]); 
                         }
                       }
                     }
                   } /* end lk */
                 } /* end lj */
               } /* end li */
               if(mle>=1)
                 printf("\n");
               fprintf(ficlog,"\n");
               fprintf(ficres,"\n");
               numlinepar++;
             } /* end k*/
           } /*end j */
         } /* end i */
       } /* end itimes */
       
       fflush(ficlog);
       fflush(ficres);
       
       while((c=getc(ficpar))=='#' && c!= EOF){
         ungetc(c,ficpar);
         fgets(line, MAXLINE, ficpar);
         fputs(line,stdout);
         fputs(line,ficparo);
       }
       ungetc(c,ficpar);
       
       estepm=0;
       fscanf(ficpar,"agemin=%lf agemax=%lf bage=%lf fage=%lf estepm=%d\n",&ageminpar,&agemaxpar, &bage, &fage, &estepm);
       if (estepm==0 || estepm < stepm) estepm=stepm;
       if (fage <= 2) {
         bage = ageminpar;
         fage = agemaxpar;
       }
       
       fprintf(ficres,"# agemin agemax for life expectancy, bage fage (if mle==0 ie no data nor Max likelihood).\n");
       fprintf(ficres,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d\n",ageminpar,agemaxpar,bage,fage, estepm);
       fprintf(ficparo,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d\n",ageminpar,agemaxpar,bage,fage, estepm);
   
       /* 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.*/
       
       
       
        /* 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(fileres, optionfilefiname,ageminpar,agemaxpar,fage, pathc,p);
       
       printinghtml(fileres,title,datafile, firstpass, lastpass, stepm, weightopt,\
                    model,imx,jmin,jmax,jmean,rfileres,popforecast,estepm,\
                    jprev1,mprev1,anprev1,jprev2,mprev2,anprev2);
         
      /*------------ free_vector  -------------*/
      /*  chdir(path); */
    
       free_ivector(wav,1,imx);
       free_imatrix(dh,1,lastpass-firstpass+1,1,imx);
       free_imatrix(bh,1,lastpass-firstpass+1,1,imx);
       free_imatrix(mw,1,lastpass-firstpass+1,1,imx);   
       free_lvector(num,1,n);
       free_vector(agedc,1,n);
       /*free_matrix(covar,0,NCOVMAX,1,n);*/
       /*free_matrix(covar,1,NCOVMAX,1,n);*/
       fclose(ficparo);
       fclose(ficres);
   
   
       /* 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);
       fclose(ficrespl);
   
   #ifdef FREEEXIT2
   #include "freeexit2.h"
   #endif
   
       /*------------- h Pij x at various ages ------------*/
       /*#include "hpijx.h"*/
       hPijx(p, bage, fage);
       fclose(ficrespij);
   
     /*-------------- Variance of one-step probabilities---*/
       k=1;
       varprob(optionfilefiname, matcov, p, delti, nlstate, bage, fage,k,Tvar,nbcode, ncodemax,strstart);
   
   
       probs= ma3x(1,AGESUP,1,NCOVMAX, 1,NCOVMAX);
       for(i=1;i<=AGESUP;i++)
         for(j=1;j<=NCOVMAX;j++)
           for(k=1;k<=NCOVMAX;k++)
             probs[i][j][k]=0.;
   
       /*---------- Forecasting ------------------*/
       /*if((stepm == 1) && (strcmp(model,".")==0)){*/
       if(prevfcast==1){
         /*    if(stepm ==1){*/
         prevforecast(fileres, anproj1, mproj1, jproj1, agemin, agemax, dateprev1, dateprev2, mobilavproj, bage, fage, firstpass, lastpass, anproj2, p, cptcoveff);
         /* (popforecast==1) populforecast(fileres, anpyram,mpyram,jpyram, agemin,agemax, dateprev1, dateprev2,mobilav, agedeb, fage, popforecast, popfile, anpyram1,p, i1);*/
         /*      }  */
         /*      else{ */
         /*        erreur=108; */
         /*        printf("Warning %d!! You can only forecast the prevalences if the optimization\n  has been performed with stepm = 1 (month) instead of %d or model=. instead of '%s'\n", erreur, stepm, model); */
         /*        fprintf(ficlog,"Warning %d!! You can only forecast the prevalences if the optimization\n  has been performed with stepm = 1 (month) instead of %d or model=. instead of '%s'\n", erreur, stepm, model); */
         /*      } */
       }
    
       /* ------ Other prevalence ratios------------ */
   
       /* Computes prevalence between agemin (i.e minimal age computed) and no more ageminpar */
   
       prevalence(probs, agemin, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass);
       /*  printf("ageminpar=%f, agemax=%f, s[lastpass][imx]=%d, agev[lastpass][imx]=%f, nlstate=%d, imx=%d,  mint[lastpass][imx]=%f, anint[lastpass][imx]=%f,dateprev1=%f, dateprev2=%f, firstpass=%d, lastpass=%d\n",\
           ageminpar, agemax, s[lastpass][imx], agev[lastpass][imx], nlstate, imx, mint[lastpass][imx],anint[lastpass][imx], dateprev1, dateprev2, firstpass, lastpass);
       */
   
       if (mobilav!=0) {
         mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
         if (movingaverage(probs, bage, fage, mobaverage,mobilav)!=0){
           fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
           printf(" Error in movingaverage mobilav=%d\n",mobilav);
         }
       }
   
   
       /*---------- Health expectancies, no variances ------------*/
   
       strcpy(filerese,"e");
       strcat(filerese,fileres);
       if((ficreseij=fopen(filerese,"w"))==NULL) {
         printf("Problem with Health Exp. resultfile: %s\n", filerese); exit(0);
         fprintf(ficlog,"Problem with Health Exp. resultfile: %s\n", filerese); exit(0);
       }
       printf("Computing Health Expectancies: result on file '%s' \n", filerese);
       fprintf(ficlog,"Computing Health Expectancies: result on file '%s' \n", filerese);
       /*for(cptcov=1,k=0;cptcov<=i1;cptcov++){
         for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*/
             
       for (k=1; k <= (int) pow(2,cptcoveff); k++){
           fprintf(ficreseij,"\n#****** ");
           for(j=1;j<=cptcoveff;j++) {
             fprintf(ficreseij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][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);
   
   
       /*---------- Health expectancies and variances ------------*/
   
   
       strcpy(filerest,"t");
       strcat(filerest,fileres);
       if((ficrest=fopen(filerest,"w"))==NULL) {
         printf("Problem with total LE resultfile: %s\n", filerest);goto end;
         fprintf(ficlog,"Problem with total LE resultfile: %s\n", filerest);goto end;
       }
       printf("Computing Total Life expectancies with their standard errors: file '%s' \n", filerest); 
       fprintf(ficlog,"Computing Total Life expectancies with their standard errors: file '%s' \n", filerest); 
   
   
       strcpy(fileresstde,"stde");
       strcat(fileresstde,fileres);
       if((ficresstdeij=fopen(fileresstde,"w"))==NULL) {
         printf("Problem with Health Exp. and std errors resultfile: %s\n", fileresstde); exit(0);
         fprintf(ficlog,"Problem with Health Exp. and std errors resultfile: %s\n", fileresstde); exit(0);
       }
       printf("Computing Health Expectancies and standard errors: result on file '%s' \n", fileresstde);
       fprintf(ficlog,"Computing Health Expectancies and standard errors: result on file '%s' \n", fileresstde);
   
       strcpy(filerescve,"cve");
       strcat(filerescve,fileres);
       if((ficrescveij=fopen(filerescve,"w"))==NULL) {
         printf("Problem with Covar. Health Exp. resultfile: %s\n", filerescve); exit(0);
         fprintf(ficlog,"Problem with Covar. Health Exp. resultfile: %s\n", filerescve); exit(0);
       }
       printf("Computing Covar. of Health Expectancies: result on file '%s' \n", filerescve);
       fprintf(ficlog,"Computing Covar. of Health Expectancies: result on file '%s' \n", filerescve);
   
       strcpy(fileresv,"v");
       strcat(fileresv,fileres);
       if((ficresvij=fopen(fileresv,"w"))==NULL) {
         printf("Problem with variance resultfile: %s\n", fileresv);exit(0);
         fprintf(ficlog,"Problem with variance resultfile: %s\n", fileresv);exit(0);
       }
       printf("Computing Variance-covariance of DFLEs: file '%s' \n", fileresv);
       fprintf(ficlog,"Computing Variance-covariance of DFLEs: file '%s' \n", fileresv);
   
       /*for(cptcov=1,k=0;cptcov<=i1;cptcov++){
         for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*/
             
       for (k=1; k <= (int) pow(2,cptcoveff); k++){
           fprintf(ficrest,"\n#****** ");
           for(j=1;j<=cptcoveff;j++) 
             fprintf(ficrest,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][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;
           cvevsij(eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k, estepm, delti, matcov, strstart);  
           /*
            */
           /* goto endfree; */
    
           vareij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
           pstamp(ficrest);
   
   
           for(vpopbased=0; vpopbased <= popbased; vpopbased++){ /* Done for vpopbased=0 and vpopbased=1 if popbased==1*/
             oldm=oldms;savm=savms; /* ZZ Segmentation fault */
             cptcod= 0; /* To be deleted */
             varevsij(optionfilefiname, vareij, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k, estepm, cptcov,cptcod,vpopbased,mobilav, strstart); /* cptcod not initialized Intel */
             fprintf(ficrest,"# Total life expectancy with std error and decomposition into time to be expected in each health state\n#  (weighted average of eij where weights are ");
             if(vpopbased==1)
               fprintf(ficrest,"the age specific prevalence observed (cross-sectionally) in the population i.e cross-sectionally\n in each health state (popbased=1) (mobilav=%d)\n",mobilav);
             else
               fprintf(ficrest,"the age specific period (stable) prevalences in each health state \n");
             fprintf(ficrest,"# Age e.. (std) ");
             for (i=1;i<=nlstate;i++) fprintf(ficrest,"e.%d (std) ",i);
             fprintf(ficrest,"\n");
             /* 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);
             for(age=bage; age <=fage ;age++){
               prevalim(prlim, nlstate, p, age, oldm, savm,ftolpl,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",age);
               /* 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");
             }
           }
           free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);
           free_ma3x(vareij,1,nlstate,1,nlstate,(int) bage, (int)fage);
           free_vector(epj,1,nlstate+1);
         /*}*/
       }
       free_vector(weight,1,n);
       free_imatrix(Tvard,1,NCOVMAX,1,2);
       free_imatrix(s,1,maxwav+1,1,n);
       free_matrix(anint,1,maxwav,1,n); 
       free_matrix(mint,1,maxwav,1,n);
       free_ivector(cod,1,n);
       free_ivector(tab,1,NCOVMAX);
       fclose(ficresstdeij);
       fclose(ficrescveij);
       fclose(ficresvij);
       fclose(ficrest);
       fclose(ficpar);
     
       /*------- Variance of period (stable) prevalence------*/   
   
       strcpy(fileresvpl,"vpl");
       strcat(fileresvpl,fileres);
       if((ficresvpl=fopen(fileresvpl,"w"))==NULL) {
         printf("Problem with variance of period (stable) prevalence  resultfile: %s\n", fileresvpl);
         exit(0);
       }
       printf("Computing Variance-covariance of period (stable) prevalence: file '%s' \n", fileresvpl);
   
       /*for(cptcov=1,k=0;cptcov<=i1;cptcov++){
         for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*/
             
       for (k=1; k <= (int) pow(2,cptcoveff); k++){
           fprintf(ficresvpl,"\n#****** ");
           for(j=1;j<=cptcoveff;j++) 
             fprintf(ficresvpl,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][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,k,strstart);
           free_matrix(varpl,1,nlstate,(int) bage, (int)fage);
         /*}*/
       }
   
       fclose(ficresvpl);
   
       /*---------- End : free ----------------*/
       if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
       free_ma3x(probs,1,AGESUP,1,NCOVMAX, 1,NCOVMAX);
     }  /* mle==-3 arrives here for freeing */
    /* endfree:*/
       free_matrix(prlim,1,nlstate,1,nlstate); /*here or after loop ? */
       free_matrix(pmmij,1,nlstate+ndeath,1,nlstate+ndeath);
       free_matrix(oldms, 1,nlstate+ndeath,1,nlstate+ndeath);
       free_matrix(newms, 1,nlstate+ndeath,1,nlstate+ndeath);
       free_matrix(savms, 1,nlstate+ndeath,1,nlstate+ndeath);
       free_matrix(covar,0,NCOVMAX,1,n);
       free_matrix(matcov,1,npar,1,npar);
       /*free_vector(delti,1,npar);*/
       free_ma3x(delti3,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel); 
       free_matrix(agev,1,maxwav,1,imx);
       free_ma3x(param,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel);
   
       free_ivector(ncodemax,1,NCOVMAX);
       free_ivector(ncodemaxwundef,1,NCOVMAX);
       free_ivector(Tvar,1,NCOVMAX);
       free_ivector(Tprod,1,NCOVMAX);
       free_ivector(Tvaraff,1,NCOVMAX);
       free_ivector(Tage,1,NCOVMAX);
   
       free_imatrix(nbcode,0,NCOVMAX,0,NCOVMAX);
       /* free_imatrix(codtab,1,100,1,10); */
     fflush(fichtm);
     fflush(ficgp);
     
   
     if((nberr >0) || (nbwarn>0)){
       printf("End of Imach with %d errors and/or %d warnings\n",nberr,nbwarn);
       fprintf(ficlog,"End of Imach with %d errors and/or warnings %d\n",nberr,nbwarn);
     }else{
       printf("End of Imach\n");
       fprintf(ficlog,"End of Imach\n");
     }
     printf("See log file on %s\n",filelog);
     /*  gettimeofday(&end_time, (struct timezone*)0);*/  /* after time */
     /*(void) gettimeofday(&end_time,&tzp);*/
     rend_time = time(NULL);  
     end_time = *localtime(&rend_time);
     /* tml = *localtime(&end_time.tm_sec); */
     strcpy(strtend,asctime(&end_time));
     printf("Local time at start %s\nLocal time at end   %s",strstart, strtend); 
     fprintf(ficlog,"Local time at start %s\nLocal time at end   %s\n",strstart, strtend); 
     printf("Total time used %s\n", asc_diff_time(rend_time -rstart_time,tmpout));
   
     printf("Total time was %.0lf Sec.\n", difftime(rend_time,rstart_time));
     fprintf(ficlog,"Total time used %s\n", asc_diff_time(rend_time -rstart_time,tmpout));
     fprintf(ficlog,"Total time was %.0lf Sec.\n", difftime(rend_time,rstart_time));
     /*  printf("Total time was %d uSec.\n", total_usecs);*/
   /*   if(fileappend(fichtm,optionfilehtm)){ */
     fprintf(fichtm,"<br>Local time at start %s<br>Local time at end   %s<br>\n</body></html>",strstart, strtend);
     fclose(fichtm);
     fprintf(fichtmcov,"<br>Local time at start %s<br>Local time at end   %s<br>\n</body></html>",strstart, strtend);
     fclose(fichtmcov);
     fclose(ficgp);
     fclose(ficlog);
     /*------ End -----------*/
   
   
      printf("Before Current directory %s!\n",pathcd);
   #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.1.21  
changed lines
  Added in v.1.200


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