Diff for /imach/src/imach.c between versions 1.2 and 1.103

version 1.2, 2001/03/13 18:10:26 version 1.103, 2005/09/30 15:54:49
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 1.103  2005/09/30 15:54:49  lievre
   individuals from different ages are interviewed on their health status    (Module): sump fixed, loop imx fixed, and simplifications.
   or degree of  disability. At least a second wave of interviews  
   ("longitudinal") should  measure each new individual health status.    Revision 1.102  2004/09/15 17:31:30  brouard
   Health expectancies are computed from the transistions observed between    Add the possibility to read data file including tab characters.
   waves and are computed for each degree of severity of disability (number  
   of life states). More degrees you consider, more time is necessary to    Revision 1.101  2004/09/15 10:38:38  brouard
   reach the Maximum Likelihood of the parameters involved in the model.    Fix on curr_time
   The simplest model is the multinomial logistic model where pij is  
   the probabibility to be observed in state j at the second wave conditional    Revision 1.100  2004/07/12 18:29:06  brouard
   to be observed in state i at the first wave. Therefore the model is:    Add version for Mac OS X. Just define UNIX in Makefile
   log(pij/pii)= aij + bij*age+ cij*sex + etc , where 'age' is age and 'sex'  
   is a covariate. If you want to have a more complex model than "constant and    Revision 1.99  2004/06/05 08:57:40  brouard
   age", you should modify the program where the markup    *** empty log message ***
     *Covariates have to be included here again* invites you to do it.  
   More covariates you add, less is the speed of the convergence.    Revision 1.98  2004/05/16 15:05:56  brouard
     New version 0.97 . First attempt to estimate force of mortality
   The advantage that this computer programme claims, comes from that if the    directly from the data i.e. without the need of knowing the health
   delay between waves is not identical for each individual, or if some    state at each age, but using a Gompertz model: log u =a + b*age .
   individual missed an interview, the information is not rounded or lost, but    This is the basic analysis of mortality and should be done before any
   taken into account using an interpolation or extrapolation.    other analysis, in order to test if the mortality estimated from the
   hPijx is the probability to be    cross-longitudinal survey is different from the mortality estimated
   observed in state i at age x+h conditional to the observed state i at age    from other sources like vital statistic data.
   x. The delay 'h' can be split into an exact number (nh*stepm) of  
   unobserved intermediate  states. This elementary transition (by month or    The same imach parameter file can be used but the option for mle should be -3.
   quarter trimester, semester or year) is model as a multinomial logistic.  
   The hPx matrix is simply the matrix product of nh*stepm elementary matrices    Agnès, who wrote this part of the code, tried to keep most of the
   and the contribution of each individual to the likelihood is simply hPijx.    former routines in order to include the new code within the former code.
   
   Also this programme outputs the covariance matrix of the parameters but also    The output is very simple: only an estimate of the intercept and of
   of the life expectancies. It also computes the prevalence limits.    the slope with 95% confident intervals.
    
   Authors: Nicolas Brouard (brouard@ined.fr) and Agnès Lièvre (lievre@ined.fr).    Current limitations:
            Institut national d'études démographiques, Paris.    A) Even if you enter covariates, i.e. with the
   This software have been partly granted by Euro-REVES, a concerted action    model= V1+V2 equation for example, the programm does only estimate a unique global model without covariates.
   from the European Union.    B) There is no computation of Life Expectancy nor Life Table.
   It is copyrighted identically to a GNU software product, ie programme and  
   software can be distributed freely for non commercial use. Latest version    Revision 1.97  2004/02/20 13:25:42  lievre
   can be accessed at http://euroreves.ined.fr/imach .    Version 0.96d. Population forecasting command line is (temporarily)
   **********************************************************************/    suppressed.
    
 #include <math.h>    Revision 1.96  2003/07/15 15:38:55  brouard
 #include <stdio.h>    * imach.c (Repository): Errors in subdirf, 2, 3 while printing tmpout is
 #include <stdlib.h>    rewritten within the same printf. Workaround: many printfs.
 #include <unistd.h>  
     Revision 1.95  2003/07/08 07:54:34  brouard
 #define MAXLINE 256    * imach.c (Repository):
 #define FILENAMELENGTH 80    (Repository): Using imachwizard code to output a more meaningful covariance
 /*#define DEBUG*/    matrix (cov(a12,c31) instead of numbers.
 #define windows  
     Revision 1.94  2003/06/27 13:00:02  brouard
 #define MAXPARM 30 /* Maximum number of parameters for the optimization */    Just cleaning
 #define NPARMAX 64 /* (nlstate+ndeath-1)*nlstate*ncovmodel */  
     Revision 1.93  2003/06/25 16:33:55  brouard
 #define NINTERVMAX 8    (Module): On windows (cygwin) function asctime_r doesn't
 #define NLSTATEMAX 8 /* Maximum number of live states (for func) */    exist so I changed back to asctime which exists.
 #define NDEATHMAX 8 /* Maximum number of dead states (for func) */    (Module): Version 0.96b
 #define NCOVMAX 8 /* Maximum number of covariates */  
 #define MAXN 80000    Revision 1.92  2003/06/25 16:30:45  brouard
 #define YEARM 12. /* Number of months per year */    (Module): On windows (cygwin) function asctime_r doesn't
 #define AGESUP 130    exist so I changed back to asctime which exists.
 #define AGEBASE 40  
     Revision 1.91  2003/06/25 15:30:29  brouard
     * imach.c (Repository): Duplicated warning errors corrected.
 int nvar;    (Repository): Elapsed time after each iteration is now output. It
 static int cptcov;    helps to forecast when convergence will be reached. Elapsed time
 int cptcovn;    is stamped in powell.  We created a new html file for the graphs
 int npar=NPARMAX;    concerning matrix of covariance. It has extension -cov.htm.
 int nlstate=2; /* Number of live states */  
 int ndeath=1; /* Number of dead states */    Revision 1.90  2003/06/24 12:34:15  brouard
 int ncovmodel, ncov;     /* Total number of covariables including constant a12*1 +b12*x ncovmodel=2 */    (Module): Some bugs corrected for windows. Also, when
     mle=-1 a template is output in file "or"mypar.txt with the design
 int *wav; /* Number of waves for this individuual 0 is possible */    of the covariance matrix to be input.
 int maxwav; /* Maxim number of waves */  
 int mle, weightopt;    Revision 1.89  2003/06/24 12:30:52  brouard
 int **mw; /* mw[mi][i] is number of the mi wave for this individual */    (Module): Some bugs corrected for windows. Also, when
 int **dh; /* dh[mi][i] is number of steps between mi,mi+1 for this individual */    mle=-1 a template is output in file "or"mypar.txt with the design
 double **oldm, **newm, **savm; /* Working pointers to matrices */    of the covariance matrix to be input.
 double **oldms, **newms, **savms; /* Fixed working pointers to matrices */  
 FILE *fic,*ficpar, *ficparo,*ficres,  *ficrespl, *ficrespij, *ficrest;    Revision 1.88  2003/06/23 17:54:56  brouard
 FILE *ficgp, *fichtm;    * 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.
 FILE *ficreseij;  
   char filerese[FILENAMELENGTH];    Revision 1.87  2003/06/18 12:26:01  brouard
  FILE  *ficresvij;    Version 0.96
   char fileresv[FILENAMELENGTH];  
  FILE  *ficresvpl;    Revision 1.86  2003/06/17 20:04:08  brouard
   char fileresvpl[FILENAMELENGTH];    (Module): Change position of html and gnuplot routines and added
     routine fileappend.
   
     Revision 1.85  2003/06/17 13:12:43  brouard
     * imach.c (Repository): Check when date of death was earlier that
 #define NR_END 1    current date of interview. It may happen when the death was just
 #define FREE_ARG char*    prior to the death. In this case, dh was negative and likelihood
 #define FTOL 1.0e-10    was wrong (infinity). We still send an "Error" but patch by
     assuming that the date of death was just one stepm after the
 #define NRANSI    interview.
 #define ITMAX 200    (Repository): Because some people have very long ID (first column)
     we changed int to long in num[] and we added a new lvector for
 #define TOL 2.0e-4    memory allocation. But we also truncated to 8 characters (left
     truncation)
 #define CGOLD 0.3819660    (Repository): No more line truncation errors.
 #define ZEPS 1.0e-10  
 #define SHFT(a,b,c,d) (a)=(b);(b)=(c);(c)=(d);    Revision 1.84  2003/06/13 21:44:43  brouard
     * imach.c (Repository): Replace "freqsummary" at a correct
 #define GOLD 1.618034    place. It differs from routine "prevalence" which may be called
 #define GLIMIT 100.0    many times. Probs is memory consuming and must be used with
 #define TINY 1.0e-20    parcimony.
     Version 0.95a3 (should output exactly the same maximization than 0.8a2)
 static double maxarg1,maxarg2;  
 #define FMAX(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)>(maxarg2)? (maxarg1):(maxarg2))    Revision 1.83  2003/06/10 13:39:11  lievre
 #define FMIN(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)<(maxarg2)? (maxarg1):(maxarg2))    *** empty log message ***
    
 #define SIGN(a,b) ((b)>0.0 ? fabs(a) : -fabs(a))    Revision 1.82  2003/06/05 15:57:20  brouard
 #define rint(a) floor(a+0.5)    Add log in  imach.c and  fullversion number is now printed.
   
 static double sqrarg;  */
 #define SQR(a) ((sqrarg=(a)) == 0.0 ? 0.0 :sqrarg*sqrarg)  /*
 #define SWAP(a,b) {temp=(a);(a)=(b);(b)=temp;}     Interpolated Markov Chain
   
 int imx;    Short summary of the programme:
 int stepm;    
 /* Stepm, step in month: minimum step interpolation*/    This program computes Healthy Life Expectancies from
     cross-longitudinal data. Cross-longitudinal data consist in: -1- a
 int m,nb;    first survey ("cross") where individuals from different ages are
 int *num, firstpass=0, lastpass=4,*cod, *ncodemax;    interviewed on their health status or degree of disability (in the
 double **agev,*moisnais, *annais, *moisdc, *andc,**mint, **anint;    case of a health survey which is our main interest) -2- at least a
 double **pmmij;    second wave of interviews ("longitudinal") which measure each change
     (if any) in individual health status.  Health expectancies are
 double *weight;    computed from the time spent in each health state according to a
 int **s; /* Status */    model. More health states you consider, more time is necessary to reach the
 double *agedc, **covar, idx;    Maximum Likelihood of the parameters involved in the model.  The
 int **nbcode, *Tcode, *Tvar, **codtab;    simplest model is the multinomial logistic model where pij is the
     probability to be observed in state j at the second wave
 double ftol=FTOL; /* Tolerance for computing Max Likelihood */    conditional to be observed in state i at the first wave. Therefore
 double ftolhess; /* Tolerance for computing hessian */    the model is: log(pij/pii)= aij + bij*age+ cij*sex + etc , where
     'age' is age and 'sex' is a covariate. If you want to have a more
     complex model than "constant and age", you should modify the program
 /******************************************/    where the markup *Covariates have to be included here again* invites
     you to do it.  More covariates you add, slower the
 void replace(char *s, char*t)    convergence.
 {  
   int i;    The advantage of this computer programme, compared to a simple
   int lg=20;    multinomial logistic model, is clear when the delay between waves is not
   i=0;    identical for each individual. Also, if a individual missed an
   lg=strlen(t);    intermediate interview, the information is lost, but taken into
   for(i=0; i<= lg; i++) {    account using an interpolation or extrapolation.  
     (s[i] = t[i]);  
     if (t[i]== '\\') s[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
 }    split into an exact number (nh*stepm) of unobserved intermediate
     states. This elementary transition (by month, quarter,
 int nbocc(char *s, char occ)    semester or year) is modelled as a multinomial logistic.  The hPx
 {    matrix is simply the matrix product of nh*stepm elementary matrices
   int i,j=0;    and the contribution of each individual to the likelihood is simply
   int lg=20;    hPijx.
   i=0;  
   lg=strlen(s);    Also this programme outputs the covariance matrix of the parameters but also
   for(i=0; i<= lg; i++) {    of the life expectancies. It also computes the stable prevalence. 
   if  (s[i] == occ ) j++;    
   }    Authors: Nicolas Brouard (brouard@ined.fr) and Agnès Lièvre (lievre@ined.fr).
   return j;             Institut national d'études démographiques, Paris.
 }    This software have been partly granted by Euro-REVES, a concerted action
     from the European Union.
 void cutv(char *u,char *v, char*t, char occ)    It is copyrighted identically to a GNU software product, ie programme and
 {    software can be distributed freely for non commercial use. Latest version
   int i,lg,j,p;    can be accessed at http://euroreves.ined.fr/imach .
   i=0;  
   if (t[0]== occ) p=0;    Help to debug: LD_PRELOAD=/usr/local/lib/libnjamd.so ./imach foo.imach
   for(j=0; j<=strlen(t)-1; j++) {    or better on gdb : set env LD_PRELOAD=/usr/local/lib/libnjamd.so
     if((t[j]!= occ) && (t[j+1]==occ)) p=j+1;    
   }    **********************************************************************/
   /*
   lg=strlen(t);    main
   for(j=0; j<p; j++) {    read parameterfile
     (u[j] = t[j]);    read datafile
     u[p]='\0';    concatwav
   }    freqsummary
     if (mle >= 1)
    for(j=0; j<= lg; j++) {      mlikeli
     if (j>=(p+1))(v[j-p-1] = t[j]);    print results files
   }    if mle==1 
 }       computes hessian
     read end of parameter file: agemin, agemax, bage, fage, estepm
         begin-prev-date,...
 /********************** nrerror ********************/    open gnuplot file
     open html file
 void nrerror(char error_text[])    stable prevalence
 {     for age prevalim()
   fprintf(stderr,"ERREUR ...\n");    h Pij x
   fprintf(stderr,"%s\n",error_text);    variance of p varprob
   exit(1);    forecasting if prevfcast==1 prevforecast call prevalence()
 }    health expectancies
 /*********************** vector *******************/    Variance-covariance of DFLE
 double *vector(int nl, int nh)    prevalence()
 {     movingaverage()
   double *v;    varevsij() 
   v=(double *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(double)));    if popbased==1 varevsij(,popbased)
   if (!v) nrerror("allocation failure in vector");    total life expectancies
   return v-nl+NR_END;    Variance of stable prevalence
 }   end
   */
 /************************ free vector ******************/  
 void free_vector(double*v, int nl, int nh)  
 {  
   free((FREE_ARG)(v+nl-NR_END));   
 }  #include <math.h>
   #include <stdio.h>
 /************************ivector *******************************/  #include <stdlib.h>
 int *ivector(long nl,long nh)  #include <unistd.h>
 {  
   int *v;  /* #include <sys/time.h> */
   v=(int *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(int)));  #include <time.h>
   if (!v) nrerror("allocation failure in ivector");  #include "timeval.h"
   return v-nl+NR_END;  
 }  /* #include <libintl.h> */
   /* #define _(String) gettext (String) */
 /******************free ivector **************************/  
 void free_ivector(int *v, long nl, long nh)  #define MAXLINE 256
 {  #define GNUPLOTPROGRAM "gnuplot"
   free((FREE_ARG)(v+nl-NR_END));  /*#define GNUPLOTPROGRAM "..\\gp37mgw\\wgnuplot"*/
 }  #define FILENAMELENGTH 132
   /*#define DEBUG*/
 /******************* imatrix *******************************/  /*#define windows*/
 int **imatrix(long nrl, long nrh, long ncl, long nch)  #define GLOCK_ERROR_NOPATH              -1      /* empty path */
      /* allocate a int matrix with subscript range m[nrl..nrh][ncl..nch] */  #define GLOCK_ERROR_GETCWD              -2      /* cannot get cwd */
 {  
   long i, nrow=nrh-nrl+1,ncol=nch-ncl+1;  #define MAXPARM 30 /* Maximum number of parameters for the optimization */
   int **m;  #define NPARMAX 64 /* (nlstate+ndeath-1)*nlstate*ncovmodel */
    
   /* allocate pointers to rows */  #define NINTERVMAX 8
   m=(int **) malloc((size_t)((nrow+NR_END)*sizeof(int*)));  #define NLSTATEMAX 8 /* Maximum number of live states (for func) */
   if (!m) nrerror("allocation failure 1 in matrix()");  #define NDEATHMAX 8 /* Maximum number of dead states (for func) */
   m += NR_END;  #define NCOVMAX 8 /* Maximum number of covariates */
   m -= nrl;  #define MAXN 20000
    #define YEARM 12. /* Number of months per year */
    #define AGESUP 130
   /* allocate rows and set pointers to them */  #define AGEBASE 40
   m[nrl]=(int *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(int)));  #define AGEGOMP 10. /* Minimal age for Gompertz adjustment */
   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");  #ifdef UNIX
   m[nrl] += NR_END;  #define DIRSEPARATOR '/'
   m[nrl] -= ncl;  #define ODIRSEPARATOR '\\'
    #else
   for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol;  #define DIRSEPARATOR '\\'
    #define ODIRSEPARATOR '/'
   /* return pointer to array of pointers to rows */  #endif
   return m;  
 }  /* $Id$ */
   /* $State$ */
 /****************** free_imatrix *************************/  
 void free_imatrix(m,nrl,nrh,ncl,nch)  char version[]="Imach version 0.97c, September 2004, INED-EUROREVES ";
       int **m;  char fullversion[]="$Revision$ $Date$"; 
       long nch,ncl,nrh,nrl;  int erreur, nberr=0, nbwarn=0; /* Error number, number of errors number of warnings  */
      /* free an int matrix allocated by imatrix() */  int nvar;
 {  int cptcovn=0, cptcovage=0, cptcoveff=0,cptcov;
   free((FREE_ARG) (m[nrl]+ncl-NR_END));  int npar=NPARMAX;
   free((FREE_ARG) (m+nrl-NR_END));  int nlstate=2; /* Number of live states */
 }  int ndeath=1; /* Number of dead states */
   int ncovmodel, ncovcol;     /* Total number of covariables including constant a12*1 +b12*x ncovmodel=2 */
 /******************* matrix *******************************/  int popbased=0;
 double **matrix(long nrl, long nrh, long ncl, long nch)  
 {  int *wav; /* Number of waves for this individuual 0 is possible */
   long i, nrow=nrh-nrl+1, ncol=nch-ncl+1;  int maxwav; /* Maxim number of waves */
   double **m;  int jmin, jmax; /* min, max spacing between 2 waves */
   int gipmx, gsw; /* Global variables on the number of contributions 
   m=(double **) malloc((size_t)((nrow+NR_END)*sizeof(double*)));                     to the likelihood and the sum of weights (done by funcone)*/
   if (!m) nrerror("allocation failure 1 in matrix()");  int mle, weightopt;
   m += NR_END;  int **mw; /* mw[mi][i] is number of the mi wave for this individual */
   m -= nrl;  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
   m[nrl]=(double *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));             * wave mi and wave mi+1 is not an exact multiple of stepm. */
   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");  double jmean; /* Mean space between 2 waves */
   m[nrl] += NR_END;  double **oldm, **newm, **savm; /* Working pointers to matrices */
   m[nrl] -= ncl;  double **oldms, **newms, **savms; /* Fixed working pointers to matrices */
   FILE *fic,*ficpar, *ficparo,*ficres,  *ficrespl, *ficrespij, *ficrest,*ficresf,*ficrespop;
   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;  FILE *ficlog, *ficrespow;
   return m;  int globpr; /* Global variable for printing or not */
 }  double fretone; /* Only one call to likelihood */
   long ipmx; /* Number of contributions */
 /*************************free matrix ************************/  double sw; /* Sum of weights */
 void free_matrix(double **m, long nrl, long nrh, long ncl, long nch)  char filerespow[FILENAMELENGTH];
 {  char fileresilk[FILENAMELENGTH]; /* File of individual contributions to the likelihood */
   free((FREE_ARG)(m[nrl]+ncl-NR_END));  FILE *ficresilk;
   free((FREE_ARG)(m+nrl-NR_END));  FILE *ficgp,*ficresprob,*ficpop, *ficresprobcov, *ficresprobcor;
 }  FILE *ficresprobmorprev;
   FILE *fichtm, *fichtmcov; /* Html File */
 /******************* ma3x *******************************/  FILE *ficreseij;
 double ***ma3x(long nrl, long nrh, long ncl, long nch, long nll, long nlh)  char filerese[FILENAMELENGTH];
 {  FILE  *ficresvij;
   long i, j, nrow=nrh-nrl+1, ncol=nch-ncl+1, nlay=nlh-nll+1;  char fileresv[FILENAMELENGTH];
   double ***m;  FILE  *ficresvpl;
   char fileresvpl[FILENAMELENGTH];
   m=(double ***) malloc((size_t)((nrow+NR_END)*sizeof(double*)));  char title[MAXLINE];
   if (!m) nrerror("allocation failure 1 in matrix()");  char optionfile[FILENAMELENGTH], datafile[FILENAMELENGTH],  filerespl[FILENAMELENGTH];
   m += NR_END;  char optionfilext[10], optionfilefiname[FILENAMELENGTH], plotcmd[FILENAMELENGTH];
   m -= nrl;  char tmpout[FILENAMELENGTH],  tmpout2[FILENAMELENGTH]; 
   char command[FILENAMELENGTH];
   m[nrl]=(double **) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));  int  outcmd=0;
   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");  
   m[nrl] += NR_END;  char fileres[FILENAMELENGTH], filerespij[FILENAMELENGTH], filereso[FILENAMELENGTH], rfileres[FILENAMELENGTH];
   m[nrl] -= ncl;  
   char filelog[FILENAMELENGTH]; /* Log file */
   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;  char filerest[FILENAMELENGTH];
   char fileregp[FILENAMELENGTH];
   m[nrl][ncl]=(double *) malloc((size_t)((nrow*ncol*nlay+NR_END)*sizeof(double)));  char popfile[FILENAMELENGTH];
   if (!m[nrl][ncl]) nrerror("allocation failure 3 in matrix()");  
   m[nrl][ncl] += NR_END;  char optionfilegnuplot[FILENAMELENGTH], optionfilehtm[FILENAMELENGTH], optionfilehtmcov[FILENAMELENGTH] ;
   m[nrl][ncl] -= nll;  
   for (j=ncl+1; j<=nch; j++)  struct timeval start_time, end_time, curr_time, last_time, forecast_time;
     m[nrl][j]=m[nrl][j-1]+nlay;  struct timezone tzp;
    extern int gettimeofday();
   for (i=nrl+1; i<=nrh; i++) {  struct tm tmg, tm, tmf, *gmtime(), *localtime();
     m[i][ncl]=m[i-1l][ncl]+ncol*nlay;  long time_value;
     for (j=ncl+1; j<=nch; j++)  extern long time();
       m[i][j]=m[i][j-1]+nlay;  char strcurr[80], strfor[80];
   }  
   return m;  #define NR_END 1
 }  #define FREE_ARG char*
   #define FTOL 1.0e-10
 /*************************free ma3x ************************/  
 void free_ma3x(double ***m, long nrl, long nrh, long ncl, long nch,long nll, long nlh)  #define NRANSI 
 {  #define ITMAX 200 
   free((FREE_ARG)(m[nrl][ncl]+ nll-NR_END));  
   free((FREE_ARG)(m[nrl]+ncl-NR_END));  #define TOL 2.0e-4 
   free((FREE_ARG)(m+nrl-NR_END));  
 }  #define CGOLD 0.3819660 
   #define ZEPS 1.0e-10 
 /***************** f1dim *************************/  #define SHFT(a,b,c,d) (a)=(b);(b)=(c);(c)=(d); 
 extern int ncom;  
 extern double *pcom,*xicom;  #define GOLD 1.618034 
 extern double (*nrfunc)(double []);  #define GLIMIT 100.0 
    #define TINY 1.0e-20 
 double f1dim(double x)  
 {  static double maxarg1,maxarg2;
   int j;  #define FMAX(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)>(maxarg2)? (maxarg1):(maxarg2))
   double f;  #define FMIN(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)<(maxarg2)? (maxarg1):(maxarg2))
   double *xt;    
    #define SIGN(a,b) ((b)>0.0 ? fabs(a) : -fabs(a))
   xt=vector(1,ncom);  #define rint(a) floor(a+0.5)
   for (j=1;j<=ncom;j++) xt[j]=pcom[j]+x*xicom[j];  
   f=(*nrfunc)(xt);  static double sqrarg;
   free_vector(xt,1,ncom);  #define SQR(a) ((sqrarg=(a)) == 0.0 ? 0.0 :sqrarg*sqrarg)
   return f;  #define SWAP(a,b) {temp=(a);(a)=(b);(b)=temp;} 
 }  int agegomp= AGEGOMP;
   
 /*****************brent *************************/  int imx; 
 double brent(double ax, double bx, double cx, double (*f)(double), double tol,  double *xmin)  int stepm=1;
 {  /* Stepm, step in month: minimum step interpolation*/
   int iter;  
   double a,b,d,etemp;  int estepm;
   double fu,fv,fw,fx;  /* Estepm, step in month to interpolate survival function in order to approximate Life Expectancy*/
   double ftemp;  
   double p,q,r,tol1,tol2,u,v,w,x,xm;  int m,nb;
   double e=0.0;  long *num;
    int firstpass=0, lastpass=4,*cod, *ncodemax, *Tage,*cens;
   a=(ax < cx ? ax : cx);  double **agev,*moisnais, *annais, *moisdc, *andc,**mint, **anint;
   b=(ax > cx ? ax : cx);  double **pmmij, ***probs;
   x=w=v=bx;  double *ageexmed,*agecens;
   fw=fv=fx=(*f)(x);  double dateintmean=0;
   for (iter=1;iter<=ITMAX;iter++) {  
     xm=0.5*(a+b);  double *weight;
     tol2=2.0*(tol1=tol*fabs(x)+ZEPS);  int **s; /* Status */
     /*          if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret)))*/  double *agedc, **covar, idx;
     printf(".");fflush(stdout);  int **nbcode, *Tcode, *Tvar, **codtab, **Tvard, *Tprod, cptcovprod, *Tvaraff;
 #ifdef DEBUG  
     printf("br %d,x=%.10e xm=%.10e b=%.10e a=%.10e tol=%.10e tol1=%.10e tol2=%.10e x-xm=%.10e fx=%.12e fu=%.12e,fw=%.12e,ftemp=%.12e,ftol=%.12e\n",iter,x,xm,b,a,tol,tol1,tol2,(x-xm),fx,fu,fw,ftemp,ftol);  double ftol=FTOL; /* Tolerance for computing Max Likelihood */
     /*          if ((fabs(x-xm) <= (tol2-0.5*(b-a)))||(2.0*fabs(fu-ftemp) <= ftol*1.e-2*(fabs(fu)+fabs(ftemp)))) { */  double ftolhess; /* Tolerance for computing hessian */
 #endif  
     if (fabs(x-xm) <= (tol2-0.5*(b-a))){  /**************** split *************************/
       *xmin=x;  static  int split( char *path, char *dirc, char *name, char *ext, char *finame )
       return fx;  {
     }    /* From a file name with full path (either Unix or Windows) we extract the directory (dirc)
     ftemp=fu;       the name of the file (name), its extension only (ext) and its first part of the name (finame)
     if (fabs(e) > tol1) {    */ 
       r=(x-w)*(fx-fv);    char  *ss;                            /* pointer */
       q=(x-v)*(fx-fw);    int   l1, l2;                         /* length counters */
       p=(x-v)*q-(x-w)*r;  
       q=2.0*(q-r);    l1 = strlen(path );                   /* length of path */
       if (q > 0.0) p = -p;    if ( l1 == 0 ) return( GLOCK_ERROR_NOPATH );
       q=fabs(q);    ss= strrchr( path, DIRSEPARATOR );            /* find last / */
       etemp=e;    if ( ss == NULL ) {                   /* no directory, so use current */
       e=d;      /*if(strrchr(path, ODIRSEPARATOR )==NULL)
       if (fabs(p) >= fabs(0.5*q*etemp) || p <= q*(a-x) || p >= q*(b-x))        printf("Warning you should use %s as a separator\n",DIRSEPARATOR);*/
         d=CGOLD*(e=(x >= xm ? a-x : b-x));      /* get current working directory */
       else {      /*    extern  char* getcwd ( char *buf , int len);*/
         d=p/q;      if ( getcwd( dirc, FILENAME_MAX ) == NULL ) {
         u=x+d;        return( GLOCK_ERROR_GETCWD );
         if (u-a < tol2 || b-u < tol2)      }
           d=SIGN(tol1,xm-x);      strcpy( name, path );               /* we've got it */
       }    } else {                              /* strip direcotry from path */
     } else {      ss++;                               /* after this, the filename */
       d=CGOLD*(e=(x >= xm ? a-x : b-x));      l2 = strlen( ss );                  /* length of filename */
     }      if ( l2 == 0 ) return( GLOCK_ERROR_NOPATH );
     u=(fabs(d) >= tol1 ? x+d : x+SIGN(tol1,d));      strcpy( name, ss );         /* save file name */
     fu=(*f)(u);      strncpy( dirc, path, l1 - l2 );     /* now the directory */
     if (fu <= fx) {      dirc[l1-l2] = 0;                    /* add zero */
       if (u >= x) a=x; else b=x;    }
       SHFT(v,w,x,u)    l1 = strlen( dirc );                  /* length of directory */
         SHFT(fv,fw,fx,fu)    /*#ifdef windows
         } else {    if ( dirc[l1-1] != '\\' ) { dirc[l1] = '\\'; dirc[l1+1] = 0; }
           if (u < x) a=u; else b=u;  #else
           if (fu <= fw || w == x) {    if ( dirc[l1-1] != '/' ) { dirc[l1] = '/'; dirc[l1+1] = 0; }
             v=w;  #endif
             w=u;    */
             fv=fw;    ss = strrchr( name, '.' );            /* find last / */
             fw=fu;    if (ss >0){
           } else if (fu <= fv || v == x || v == w) {      ss++;
             v=u;      strcpy(ext,ss);                     /* save extension */
             fv=fu;      l1= strlen( name);
           }      l2= strlen(ss)+1;
         }      strncpy( finame, name, l1-l2);
   }      finame[l1-l2]= 0;
   nrerror("Too many iterations in brent");    }
   *xmin=x;    return( 0 );                          /* we're done */
   return fx;  }
 }  
   
 /****************** mnbrak ***********************/  /******************************************/
   
 void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, double *fc,  void replace_back_to_slash(char *s, char*t)
             double (*func)(double))  {
 {    int i;
   double ulim,u,r,q, dum;    int lg=0;
   double fu;    i=0;
      lg=strlen(t);
   *fa=(*func)(*ax);    for(i=0; i<= lg; i++) {
   *fb=(*func)(*bx);      (s[i] = t[i]);
   if (*fb > *fa) {      if (t[i]== '\\') s[i]='/';
     SHFT(dum,*ax,*bx,dum)    }
       SHFT(dum,*fb,*fa,dum)  }
       }  
   *cx=(*bx)+GOLD*(*bx-*ax);  int nbocc(char *s, char occ)
   *fc=(*func)(*cx);  {
   while (*fb > *fc) {    int i,j=0;
     r=(*bx-*ax)*(*fb-*fc);    int lg=20;
     q=(*bx-*cx)*(*fb-*fa);    i=0;
     u=(*bx)-((*bx-*cx)*q-(*bx-*ax)*r)/    lg=strlen(s);
       (2.0*SIGN(FMAX(fabs(q-r),TINY),q-r));    for(i=0; i<= lg; i++) {
     ulim=(*bx)+GLIMIT*(*cx-*bx);    if  (s[i] == occ ) j++;
     if ((*bx-u)*(u-*cx) > 0.0) {    }
       fu=(*func)(u);    return j;
     } else if ((*cx-u)*(u-ulim) > 0.0) {  }
       fu=(*func)(u);  
       if (fu < *fc) {  void cutv(char *u,char *v, char*t, char occ)
         SHFT(*bx,*cx,u,*cx+GOLD*(*cx-*bx))  {
           SHFT(*fb,*fc,fu,(*func)(u))    /* cuts string t into u and v where u ends before first occurence of char 'occ' 
           }       and v starts after first occurence of char 'occ' : ex cutv(u,v,"abcdef2ghi2j",'2')
     } else if ((u-ulim)*(ulim-*cx) >= 0.0) {       gives u="abcedf" and v="ghi2j" */
       u=ulim;    int i,lg,j,p=0;
       fu=(*func)(u);    i=0;
     } else {    for(j=0; j<=strlen(t)-1; j++) {
       u=(*cx)+GOLD*(*cx-*bx);      if((t[j]!= occ) && (t[j+1]== occ)) p=j+1;
       fu=(*func)(u);    }
     }  
     SHFT(*ax,*bx,*cx,u)    lg=strlen(t);
       SHFT(*fa,*fb,*fc,fu)    for(j=0; j<p; j++) {
       }      (u[j] = t[j]);
 }    }
        u[p]='\0';
 /*************** linmin ************************/  
      for(j=0; j<= lg; j++) {
 int ncom;      if (j>=(p+1))(v[j-p-1] = t[j]);
 double *pcom,*xicom;    }
 double (*nrfunc)(double []);  }
    
 void linmin(double p[], double xi[], int n, double *fret,double (*func)(double []))  /********************** nrerror ********************/
 {  
   double brent(double ax, double bx, double cx,  void nrerror(char error_text[])
                double (*f)(double), double tol, double *xmin);  {
   double f1dim(double x);    fprintf(stderr,"ERREUR ...\n");
   void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb,    fprintf(stderr,"%s\n",error_text);
               double *fc, double (*func)(double));    exit(EXIT_FAILURE);
   int j;  }
   double xx,xmin,bx,ax;  /*********************** vector *******************/
   double fx,fb,fa;  double *vector(int nl, int nh)
    {
   ncom=n;    double *v;
   pcom=vector(1,n);    v=(double *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(double)));
   xicom=vector(1,n);    if (!v) nrerror("allocation failure in vector");
   nrfunc=func;    return v-nl+NR_END;
   for (j=1;j<=n;j++) {  }
     pcom[j]=p[j];  
     xicom[j]=xi[j];  /************************ free vector ******************/
   }  void free_vector(double*v, int nl, int nh)
   ax=0.0;  {
   xx=1.0;    free((FREE_ARG)(v+nl-NR_END));
   mnbrak(&ax,&xx,&bx,&fa,&fx,&fb,f1dim);  }
   *fret=brent(ax,xx,bx,f1dim,TOL,&xmin);  
 #ifdef DEBUG  /************************ivector *******************************/
   printf("retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);  int *ivector(long nl,long nh)
 #endif  {
   for (j=1;j<=n;j++) {    int *v;
     xi[j] *= xmin;    v=(int *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(int)));
     p[j] += xi[j];    if (!v) nrerror("allocation failure in ivector");
   }    return v-nl+NR_END;
   free_vector(xicom,1,n);  }
   free_vector(pcom,1,n);  
 }  /******************free ivector **************************/
   void free_ivector(int *v, long nl, long nh)
 /*************** powell ************************/  {
 void powell(double p[], double **xi, int n, double ftol, int *iter, double *fret,    free((FREE_ARG)(v+nl-NR_END));
             double (*func)(double []))  }
 {  
   void linmin(double p[], double xi[], int n, double *fret,  /************************lvector *******************************/
               double (*func)(double []));  long *lvector(long nl,long nh)
   int i,ibig,j;  {
   double del,t,*pt,*ptt,*xit;    long *v;
   double fp,fptt;    v=(long *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(long)));
   double *xits;    if (!v) nrerror("allocation failure in ivector");
   pt=vector(1,n);    return v-nl+NR_END;
   ptt=vector(1,n);  }
   xit=vector(1,n);  
   xits=vector(1,n);  /******************free lvector **************************/
   *fret=(*func)(p);  void free_lvector(long *v, long nl, long nh)
   for (j=1;j<=n;j++) pt[j]=p[j];  {
   for (*iter=1;;++(*iter)) {    free((FREE_ARG)(v+nl-NR_END));
     fp=(*fret);  }
     ibig=0;  
     del=0.0;  /******************* imatrix *******************************/
     printf("\nPowell iter=%d -2*LL=%.12f",*iter,*fret);  int **imatrix(long nrl, long nrh, long ncl, long nch) 
     for (i=1;i<=n;i++)       /* allocate a int matrix with subscript range m[nrl..nrh][ncl..nch] */ 
       printf(" %d %.12f",i, p[i]);  { 
     printf("\n");    long i, nrow=nrh-nrl+1,ncol=nch-ncl+1; 
     for (i=1;i<=n;i++) {    int **m; 
       for (j=1;j<=n;j++) xit[j]=xi[j][i];    
       fptt=(*fret);    /* allocate pointers to rows */ 
 #ifdef DEBUG    m=(int **) malloc((size_t)((nrow+NR_END)*sizeof(int*))); 
       printf("fret=%lf \n",*fret);    if (!m) nrerror("allocation failure 1 in matrix()"); 
 #endif    m += NR_END; 
       printf("%d",i);fflush(stdout);    m -= nrl; 
       linmin(p,xit,n,fret,func);    
       if (fabs(fptt-(*fret)) > del) {    
         del=fabs(fptt-(*fret));    /* allocate rows and set pointers to them */ 
         ibig=i;    m[nrl]=(int *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(int))); 
       }    if (!m[nrl]) nrerror("allocation failure 2 in matrix()"); 
 #ifdef DEBUG    m[nrl] += NR_END; 
       printf("%d %.12e",i,(*fret));    m[nrl] -= ncl; 
       for (j=1;j<=n;j++) {    
         xits[j]=FMAX(fabs(p[j]-pt[j]),1.e-5);    for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol; 
         printf(" x(%d)=%.12e",j,xit[j]);    
       }    /* return pointer to array of pointers to rows */ 
       for(j=1;j<=n;j++)    return m; 
         printf(" p=%.12e",p[j]);  } 
       printf("\n");  
 #endif  /****************** free_imatrix *************************/
     }  void free_imatrix(m,nrl,nrh,ncl,nch)
     if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret))) {        int **m;
 #ifdef DEBUG        long nch,ncl,nrh,nrl; 
       int k[2],l;       /* free an int matrix allocated by imatrix() */ 
       k[0]=1;  { 
       k[1]=-1;    free((FREE_ARG) (m[nrl]+ncl-NR_END)); 
       printf("Max: %.12e",(*func)(p));    free((FREE_ARG) (m+nrl-NR_END)); 
       for (j=1;j<=n;j++)  } 
         printf(" %.12e",p[j]);  
       printf("\n");  /******************* matrix *******************************/
       for(l=0;l<=1;l++) {  double **matrix(long nrl, long nrh, long ncl, long nch)
         for (j=1;j<=n;j++) {  {
           ptt[j]=p[j]+(p[j]-pt[j])*k[l];    long i, nrow=nrh-nrl+1, ncol=nch-ncl+1;
           printf("l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);    double **m;
         }  
         printf("func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));    m=(double **) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
       }    if (!m) nrerror("allocation failure 1 in matrix()");
 #endif    m += NR_END;
     m -= nrl;
   
       free_vector(xit,1,n);    m[nrl]=(double *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
       free_vector(xits,1,n);    if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
       free_vector(ptt,1,n);    m[nrl] += NR_END;
       free_vector(pt,1,n);    m[nrl] -= ncl;
       return;  
     }    for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
     if (*iter == ITMAX) nrerror("powell exceeding maximum iterations.");    return m;
     for (j=1;j<=n;j++) {    /* print *(*(m+1)+70) or print m[1][70]; print m+1 or print &(m[1]) 
       ptt[j]=2.0*p[j]-pt[j];     */
       xit[j]=p[j]-pt[j];  }
       pt[j]=p[j];  
     }  /*************************free matrix ************************/
     fptt=(*func)(ptt);  void free_matrix(double **m, long nrl, long nrh, long ncl, long nch)
     if (fptt < fp) {  {
       t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)-del*SQR(fp-fptt);    free((FREE_ARG)(m[nrl]+ncl-NR_END));
       if (t < 0.0) {    free((FREE_ARG)(m+nrl-NR_END));
         linmin(p,xit,n,fret,func);  }
         for (j=1;j<=n;j++) {  
           xi[j][ibig]=xi[j][n];  /******************* ma3x *******************************/
           xi[j][n]=xit[j];  double ***ma3x(long nrl, long nrh, long ncl, long nch, long nll, long nlh)
         }  {
 #ifdef DEBUG    long i, j, nrow=nrh-nrl+1, ncol=nch-ncl+1, nlay=nlh-nll+1;
         printf("Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);    double ***m;
         for(j=1;j<=n;j++)  
           printf(" %.12e",xit[j]);    m=(double ***) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
         printf("\n");    if (!m) nrerror("allocation failure 1 in matrix()");
 #endif    m += NR_END;
       }    m -= nrl;
     }  
   }    m[nrl]=(double **) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
 }    if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
     m[nrl] += NR_END;
 /**** Prevalence limit ****************/    m[nrl] -= ncl;
   
 double **prevalim(double **prlim, int nlstate, double x[], double age, double **oldm, double **savm, double ftolpl, int ij)    for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
 {  
   /* Computes the prevalence limit in each live state at age x by left multiplying the unit    m[nrl][ncl]=(double *) malloc((size_t)((nrow*ncol*nlay+NR_END)*sizeof(double)));
      matrix by transitions matrix until convergence is reached */    if (!m[nrl][ncl]) nrerror("allocation failure 3 in matrix()");
     m[nrl][ncl] += NR_END;
   int i, ii,j,k;    m[nrl][ncl] -= nll;
   double min, max, maxmin, maxmax,sumnew=0.;    for (j=ncl+1; j<=nch; j++) 
   double **matprod2();      m[nrl][j]=m[nrl][j-1]+nlay;
   double **out, cov[NCOVMAX], **pmij();    
   double **newm;    for (i=nrl+1; i<=nrh; i++) {
   double agefin, delaymax=50 ; /* Max number of years to converge */      m[i][ncl]=m[i-1l][ncl]+ncol*nlay;
       for (j=ncl+1; j<=nch; j++) 
   for (ii=1;ii<=nlstate+ndeath;ii++)        m[i][j]=m[i][j-1]+nlay;
     for (j=1;j<=nlstate+ndeath;j++){    }
       oldm[ii][j]=(ii==j ? 1.0 : 0.0);    return m; 
     }    /*  gdb: p *(m+1) <=> p m[1] and p (m+1) <=> p (m+1) <=> p &(m[1])
   /* Even if hstepm = 1, at least one multiplication by the unit matrix */             &(m[i][j][k]) <=> *((*(m+i) + j)+k)
   for(agefin=age-stepm/YEARM; agefin>=age-delaymax; agefin=agefin-stepm/YEARM){    */
     newm=savm;  }
     /* Covariates have to be included here again */  
     cov[1]=1.;  /*************************free ma3x ************************/
     cov[2]=agefin;  void free_ma3x(double ***m, long nrl, long nrh, long ncl, long nch,long nll, long nlh)
     if (cptcovn>0){  {
       for (k=1; k<=cptcovn;k++) {cov[2+k]=nbcode[Tvar[k]][codtab[ij][k]];/*printf("Tcode[ij]=%d nbcode=%d\n",Tcode[ij],nbcode[k][Tcode[ij]]);*/}    free((FREE_ARG)(m[nrl][ncl]+ nll-NR_END));
     }    free((FREE_ARG)(m[nrl]+ncl-NR_END));
     out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm);    free((FREE_ARG)(m+nrl-NR_END));
   }
     savm=oldm;  
     oldm=newm;  /*************** function subdirf ***********/
     maxmax=0.;  char *subdirf(char fileres[])
     for(j=1;j<=nlstate;j++){  {
       min=1.;    /* Caution optionfilefiname is hidden */
       max=0.;    strcpy(tmpout,optionfilefiname);
       for(i=1; i<=nlstate; i++) {    strcat(tmpout,"/"); /* Add to the right */
         sumnew=0;    strcat(tmpout,fileres);
         for(k=1; k<=ndeath; k++) sumnew+=newm[i][nlstate+k];    return tmpout;
         prlim[i][j]= newm[i][j]/(1-sumnew);  }
         max=FMAX(max,prlim[i][j]);  
         min=FMIN(min,prlim[i][j]);  /*************** function subdirf2 ***********/
       }  char *subdirf2(char fileres[], char *preop)
       maxmin=max-min;  {
       maxmax=FMAX(maxmax,maxmin);    
     }    /* Caution optionfilefiname is hidden */
     if(maxmax < ftolpl){    strcpy(tmpout,optionfilefiname);
       return prlim;    strcat(tmpout,"/");
     }    strcat(tmpout,preop);
   }    strcat(tmpout,fileres);
 }    return tmpout;
   }
 /*************** transition probabilities **********/  
   /*************** function subdirf3 ***********/
 double **pmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )  char *subdirf3(char fileres[], char *preop, char *preop2)
 {  {
   double s1, s2;    
   /*double t34;*/    /* Caution optionfilefiname is hidden */
   int i,j,j1, nc, ii, jj;    strcpy(tmpout,optionfilefiname);
     strcat(tmpout,"/");
     for(i=1; i<= nlstate; i++){    strcat(tmpout,preop);
     for(j=1; j<i;j++){    strcat(tmpout,preop2);
       for (nc=1, s2=0.;nc <=ncovmodel; nc++){    strcat(tmpout,fileres);
         /*s2 += param[i][j][nc]*cov[nc];*/    return tmpout;
         s2 += x[(i-1)*nlstate*ncovmodel+(j-1)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];  }
         /*printf("Int j<i s1=%.17e, s2=%.17e\n",s1,s2);*/  
       }  /***************** f1dim *************************/
       ps[i][j]=s2;  extern int ncom; 
       /*printf("s1=%.17e, s2=%.17e\n",s1,s2);*/  extern double *pcom,*xicom;
     }  extern double (*nrfunc)(double []); 
     for(j=i+1; j<=nlstate+ndeath;j++){   
       for (nc=1, s2=0.;nc <=ncovmodel; nc++){  double f1dim(double x) 
         s2 += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];  { 
         /*printf("Int j>i s1=%.17e, s2=%.17e %lx %lx\n",s1,s2,s1,s2);*/    int j; 
       }    double f;
       ps[i][j]=s2;    double *xt; 
     }   
   }    xt=vector(1,ncom); 
   for(i=1; i<= nlstate; i++){    for (j=1;j<=ncom;j++) xt[j]=pcom[j]+x*xicom[j]; 
      s1=0;    f=(*nrfunc)(xt); 
     for(j=1; j<i; j++)    free_vector(xt,1,ncom); 
       s1+=exp(ps[i][j]);    return f; 
     for(j=i+1; j<=nlstate+ndeath; j++)  } 
       s1+=exp(ps[i][j]);  
     ps[i][i]=1./(s1+1.);  /*****************brent *************************/
     for(j=1; j<i; j++)  double brent(double ax, double bx, double cx, double (*f)(double), double tol,  double *xmin) 
       ps[i][j]= exp(ps[i][j])*ps[i][i];  { 
     for(j=i+1; j<=nlstate+ndeath; j++)    int iter; 
       ps[i][j]= exp(ps[i][j])*ps[i][i];    double a,b,d,etemp;
     /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */    double fu,fv,fw,fx;
   } /* end i */    double ftemp;
     double p,q,r,tol1,tol2,u,v,w,x,xm; 
   for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){    double e=0.0; 
     for(jj=1; jj<= nlstate+ndeath; jj++){   
       ps[ii][jj]=0;    a=(ax < cx ? ax : cx); 
       ps[ii][ii]=1;    b=(ax > cx ? ax : cx); 
     }    x=w=v=bx; 
   }    fw=fv=fx=(*f)(x); 
     for (iter=1;iter<=ITMAX;iter++) { 
   /*   for(ii=1; ii<= nlstate+ndeath; ii++){      xm=0.5*(a+b); 
     for(jj=1; jj<= nlstate+ndeath; jj++){      tol2=2.0*(tol1=tol*fabs(x)+ZEPS); 
      printf("%lf ",ps[ii][jj]);      /*          if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret)))*/
    }      printf(".");fflush(stdout);
     printf("\n ");      fprintf(ficlog,".");fflush(ficlog);
     }  #ifdef DEBUG
     printf("\n ");printf("%lf ",cov[2]);*/      printf("br %d,x=%.10e xm=%.10e b=%.10e a=%.10e tol=%.10e tol1=%.10e tol2=%.10e x-xm=%.10e fx=%.12e fu=%.12e,fw=%.12e,ftemp=%.12e,ftol=%.12e\n",iter,x,xm,b,a,tol,tol1,tol2,(x-xm),fx,fu,fw,ftemp,ftol);
 /*      fprintf(ficlog,"br %d,x=%.10e xm=%.10e b=%.10e a=%.10e tol=%.10e tol1=%.10e tol2=%.10e x-xm=%.10e fx=%.12e fu=%.12e,fw=%.12e,ftemp=%.12e,ftol=%.12e\n",iter,x,xm,b,a,tol,tol1,tol2,(x-xm),fx,fu,fw,ftemp,ftol);
   for(i=1; i<= npar; i++) printf("%f ",x[i]);      /*          if ((fabs(x-xm) <= (tol2-0.5*(b-a)))||(2.0*fabs(fu-ftemp) <= ftol*1.e-2*(fabs(fu)+fabs(ftemp)))) { */
   goto end;*/  #endif
     return ps;      if (fabs(x-xm) <= (tol2-0.5*(b-a))){ 
 }        *xmin=x; 
         return fx; 
 /**************** Product of 2 matrices ******************/      } 
       ftemp=fu;
 double **matprod2(double **out, double **in,long nrl, long nrh, long ncl, long nch, long ncolol, long ncoloh, double **b)      if (fabs(e) > tol1) { 
 {        r=(x-w)*(fx-fv); 
   /* Computes the matric product of in(1,nrh-nrl+1)(1,nch-ncl+1) times        q=(x-v)*(fx-fw); 
      b(1,nch-ncl+1)(1,ncoloh-ncolol+1) into out(...) */        p=(x-v)*q-(x-w)*r; 
   /* in, b, out are matrice of pointers which should have been initialized        q=2.0*(q-r); 
      before: only the contents of out is modified. The function returns        if (q > 0.0) p = -p; 
      a pointer to pointers identical to out */        q=fabs(q); 
   long i, j, k;        etemp=e; 
   for(i=nrl; i<= nrh; i++)        e=d; 
     for(k=ncolol; k<=ncoloh; k++)        if (fabs(p) >= fabs(0.5*q*etemp) || p <= q*(a-x) || p >= q*(b-x)) 
       for(j=ncl,out[i][k]=0.; j<=nch; j++)          d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
         out[i][k] +=in[i][j]*b[j][k];        else { 
           d=p/q; 
   return out;          u=x+d; 
 }          if (u-a < tol2 || b-u < tol2) 
             d=SIGN(tol1,xm-x); 
         } 
 /************* Higher Matrix Product ***************/      } else { 
         d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
 double ***hpxij(double ***po, int nhstepm, double age, int hstepm, double *x, int nlstate, int stepm, double **oldm, double **savm, int ij )      } 
 {      u=(fabs(d) >= tol1 ? x+d : x+SIGN(tol1,d)); 
   /* Computes the transition matrix starting at age 'age' over 'nhstepm*hstepm*stepm' month      fu=(*f)(u); 
      duration (i.e. until      if (fu <= fx) { 
      age (in years)  age+nhstepm*stepm/12) by multiplying nhstepm*hstepm matrices.        if (u >= x) a=x; else b=x; 
      Output is stored in matrix po[i][j][h] for h every 'hstepm' step        SHFT(v,w,x,u) 
      (typically every 2 years instead of every month which is too big).          SHFT(fv,fw,fx,fu) 
      Model is determined by parameters x and covariates have to be          } else { 
      included manually here.            if (u < x) a=u; else b=u; 
             if (fu <= fw || w == x) { 
      */              v=w; 
               w=u; 
   int i, j, d, h, k;              fv=fw; 
   double **out, cov[NCOVMAX];              fw=fu; 
   double **newm;            } else if (fu <= fv || v == x || v == w) { 
               v=u; 
   /* Hstepm could be zero and should return the unit matrix */              fv=fu; 
   for (i=1;i<=nlstate+ndeath;i++)            } 
     for (j=1;j<=nlstate+ndeath;j++){          } 
       oldm[i][j]=(i==j ? 1.0 : 0.0);    } 
       po[i][j][0]=(i==j ? 1.0 : 0.0);    nrerror("Too many iterations in brent"); 
     }    *xmin=x; 
   /* Even if hstepm = 1, at least one multiplication by the unit matrix */    return fx; 
   for(h=1; h <=nhstepm; h++){  } 
     for(d=1; d <=hstepm; d++){  
       newm=savm;  /****************** mnbrak ***********************/
       /* Covariates have to be included here again */  
       cov[1]=1.;  void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, double *fc, 
       cov[2]=age+((h-1)*hstepm + (d-1))*stepm/YEARM;              double (*func)(double)) 
       if (cptcovn>0){  { 
       for (k=1; k<=cptcovn;k++) cov[2+k]=nbcode[Tvar[k]][codtab[ij][k]];    double ulim,u,r,q, dum;
     }    double fu; 
       /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/   
       /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/    *fa=(*func)(*ax); 
       out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath,    *fb=(*func)(*bx); 
                    pmij(pmmij,cov,ncovmodel,x,nlstate));    if (*fb > *fa) { 
       savm=oldm;      SHFT(dum,*ax,*bx,dum) 
       oldm=newm;        SHFT(dum,*fb,*fa,dum) 
     }        } 
     for(i=1; i<=nlstate+ndeath; i++)    *cx=(*bx)+GOLD*(*bx-*ax); 
       for(j=1;j<=nlstate+ndeath;j++) {    *fc=(*func)(*cx); 
         po[i][j][h]=newm[i][j];    while (*fb > *fc) { 
         /*printf("i=%d j=%d h=%d po[i][j][h]=%f ",i,j,h,po[i][j][h]);      r=(*bx-*ax)*(*fb-*fc); 
          */      q=(*bx-*cx)*(*fb-*fa); 
       }      u=(*bx)-((*bx-*cx)*q-(*bx-*ax)*r)/ 
   } /* end h */        (2.0*SIGN(FMAX(fabs(q-r),TINY),q-r)); 
   return po;      ulim=(*bx)+GLIMIT*(*cx-*bx); 
 }      if ((*bx-u)*(u-*cx) > 0.0) { 
         fu=(*func)(u); 
       } else if ((*cx-u)*(u-ulim) > 0.0) { 
 /*************** log-likelihood *************/        fu=(*func)(u); 
 double func( double *x)        if (fu < *fc) { 
 {          SHFT(*bx,*cx,u,*cx+GOLD*(*cx-*bx)) 
   int i, ii, j, k, mi, d;            SHFT(*fb,*fc,fu,(*func)(u)) 
   double l, ll[NLSTATEMAX], cov[NCOVMAX];            } 
   double **out;      } else if ((u-ulim)*(ulim-*cx) >= 0.0) { 
   double sw; /* Sum of weights */        u=ulim; 
   double lli; /* Individual log likelihood */        fu=(*func)(u); 
   long ipmx;      } else { 
   /*extern weight */        u=(*cx)+GOLD*(*cx-*bx); 
   /* We are differentiating ll according to initial status */        fu=(*func)(u); 
   /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/      } 
   /*for(i=1;i<imx;i++)      SHFT(*ax,*bx,*cx,u) 
 printf(" %d\n",s[4][i]);        SHFT(*fa,*fb,*fc,fu) 
   */        } 
   } 
   for(k=1; k<=nlstate; k++) ll[k]=0.;  
   for (i=1,ipmx=0, sw=0.; i<=imx; i++){  /*************** linmin ************************/
        for(mi=1; mi<= wav[i]-1; mi++){  
       for (ii=1;ii<=nlstate+ndeath;ii++)  int ncom; 
         for (j=1;j<=nlstate+ndeath;j++) oldm[ii][j]=(ii==j ? 1.0 : 0.0);  double *pcom,*xicom;
             for(d=0; d<dh[mi][i]; d++){  double (*nrfunc)(double []); 
         newm=savm;   
           cov[1]=1.;  void linmin(double p[], double xi[], int n, double *fret,double (*func)(double [])) 
           cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;  { 
           if (cptcovn>0){    double brent(double ax, double bx, double cx, 
             for (k=1; k<=cptcovn;k++) {                 double (*f)(double), double tol, double *xmin); 
               cov[2+k]=covar[Tvar[k]][i];    double f1dim(double x); 
               /* printf("k=%d cptcovn=%d %lf\n",k,cptcovn,covar[Tvar[k]][i]);*/    void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, 
             }                double *fc, double (*func)(double)); 
             }    int j; 
           out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,    double xx,xmin,bx,ax; 
                        1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));    double fx,fb,fa;
           savm=oldm;   
           oldm=newm;    ncom=n; 
       } /* end mult */    pcom=vector(1,n); 
        xicom=vector(1,n); 
       lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);    nrfunc=func; 
       /* printf(" %f ",out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);*/    for (j=1;j<=n;j++) { 
       ipmx +=1;      pcom[j]=p[j]; 
       sw += weight[i];      xicom[j]=xi[j]; 
       ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;    } 
     } /* end of wave */    ax=0.0; 
   } /* end of individual */    xx=1.0; 
     mnbrak(&ax,&xx,&bx,&fa,&fx,&fb,f1dim); 
   for(k=1,l=0.; k<=nlstate; k++) l += ll[k];    *fret=brent(ax,xx,bx,f1dim,TOL,&xmin); 
   /* printf("l1=%f l2=%f ",ll[1],ll[2]); */  #ifdef DEBUG
   l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */    printf("retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);
     fprintf(ficlog,"retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);
   return -l;  #endif
 }    for (j=1;j<=n;j++) { 
       xi[j] *= xmin; 
       p[j] += xi[j]; 
 /*********** Maximum Likelihood Estimation ***************/    } 
     free_vector(xicom,1,n); 
 void mlikeli(FILE *ficres,double p[], int npar, int ncovmodel, int nlstate, double ftol, double (*func)(double []))    free_vector(pcom,1,n); 
 {  } 
   int i,j, iter;  
   double **xi,*delti;  char *asc_diff_time(long time_sec, char ascdiff[])
   double fret;  {
   xi=matrix(1,npar,1,npar);    long sec_left, days, hours, minutes;
   for (i=1;i<=npar;i++)    days = (time_sec) / (60*60*24);
     for (j=1;j<=npar;j++)    sec_left = (time_sec) % (60*60*24);
       xi[i][j]=(i==j ? 1.0 : 0.0);    hours = (sec_left) / (60*60) ;
   printf("Powell\n");    sec_left = (sec_left) %(60*60);
   powell(p,xi,npar,ftol,&iter,&fret,func);    minutes = (sec_left) /60;
     sec_left = (sec_left) % (60);
    printf("\n#Number of iterations = %d, -2 Log likelihood = %.12f\n",iter,func(p));    sprintf(ascdiff,"%d day(s) %d hour(s) %d minute(s) %d second(s)",days, hours, minutes, sec_left);  
   fprintf(ficres,"#Number of iterations = %d, -2 Log likelihood = %.12f ",iter,func(p));    return ascdiff;
   }
 }  
   /*************** powell ************************/
 /**** Computes Hessian and covariance matrix ***/  void powell(double p[], double **xi, int n, double ftol, int *iter, double *fret, 
 void hesscov(double **matcov, double p[], int npar, double delti[], double ftolhess, double (*func)(double []))              double (*func)(double [])) 
 {  { 
   double  **a,**y,*x,pd;    void linmin(double p[], double xi[], int n, double *fret, 
   double **hess;                double (*func)(double [])); 
   int i, j,jk;    int i,ibig,j; 
   int *indx;    double del,t,*pt,*ptt,*xit;
     double fp,fptt;
   double hessii(double p[], double delta, int theta, double delti[]);    double *xits;
   double hessij(double p[], double delti[], int i, int j);    int niterf, itmp;
   void lubksb(double **a, int npar, int *indx, double b[]) ;  
   void ludcmp(double **a, int npar, int *indx, double *d) ;    pt=vector(1,n); 
     ptt=vector(1,n); 
     xit=vector(1,n); 
   hess=matrix(1,npar,1,npar);    xits=vector(1,n); 
     *fret=(*func)(p); 
   printf("\nCalculation of the hessian matrix. Wait...\n");    for (j=1;j<=n;j++) pt[j]=p[j]; 
   for (i=1;i<=npar;i++){    for (*iter=1;;++(*iter)) { 
     printf("%d",i);fflush(stdout);      fp=(*fret); 
     hess[i][i]=hessii(p,ftolhess,i,delti);      ibig=0; 
     /*printf(" %f ",p[i]);*/      del=0.0; 
   }      last_time=curr_time;
       (void) gettimeofday(&curr_time,&tzp);
   for (i=1;i<=npar;i++) {      printf("\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret, curr_time.tv_sec-last_time.tv_sec, curr_time.tv_sec-start_time.tv_sec);fflush(stdout);
     for (j=1;j<=npar;j++)  {      /*    fprintf(ficlog,"\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret, curr_time.tv_sec-last_time.tv_sec, curr_time.tv_sec-start_time.tv_sec);
       if (j>i) {      fprintf(ficrespow,"%d %.12f %ld",*iter,*fret,curr_time.tv_sec-start_time.tv_sec);
         printf(".%d%d",i,j);fflush(stdout);      */
         hess[i][j]=hessij(p,delti,i,j);     for (i=1;i<=n;i++) {
         hess[j][i]=hess[i][j];        printf(" %d %.12f",i, p[i]);
       }        fprintf(ficlog," %d %.12lf",i, p[i]);
     }        fprintf(ficrespow," %.12lf", p[i]);
   }      }
   printf("\n");      printf("\n");
       fprintf(ficlog,"\n");
   printf("\nInverting the hessian to get the covariance matrix. Wait...\n");      fprintf(ficrespow,"\n");fflush(ficrespow);
        if(*iter <=3){
   a=matrix(1,npar,1,npar);        tm = *localtime(&curr_time.tv_sec);
   y=matrix(1,npar,1,npar);        strcpy(strcurr,asctime(&tm));
   x=vector(1,npar);  /*       asctime_r(&tm,strcurr); */
   indx=ivector(1,npar);        forecast_time=curr_time; 
   for (i=1;i<=npar;i++)        itmp = strlen(strcurr);
     for (j=1;j<=npar;j++) a[i][j]=hess[i][j];        if(strcurr[itmp-1]=='\n')  /* Windows outputs with a new line */
   ludcmp(a,npar,indx,&pd);          strcurr[itmp-1]='\0';
         printf("\nConsidering the time needed for this last iteration #%d: %ld seconds,\n",*iter,curr_time.tv_sec-last_time.tv_sec);
   for (j=1;j<=npar;j++) {        fprintf(ficlog,"\nConsidering the time needed for this last iteration #%d: %ld seconds,\n",*iter,curr_time.tv_sec-last_time.tv_sec);
     for (i=1;i<=npar;i++) x[i]=0;        for(niterf=10;niterf<=30;niterf+=10){
     x[j]=1;          forecast_time.tv_sec=curr_time.tv_sec+(niterf-*iter)*(curr_time.tv_sec-last_time.tv_sec);
     lubksb(a,npar,indx,x);          tmf = *localtime(&forecast_time.tv_sec);
     for (i=1;i<=npar;i++){  /*      asctime_r(&tmf,strfor); */
       matcov[i][j]=x[i];          strcpy(strfor,asctime(&tmf));
     }          itmp = strlen(strfor);
   }          if(strfor[itmp-1]=='\n')
           strfor[itmp-1]='\0';
   printf("\n#Hessian matrix#\n");          printf("   - if your program needs %d iterations to converge, convergence will be \n   reached in %s i.e.\n   on %s (current time is %s);\n",niterf, asc_diff_time(forecast_time.tv_sec-curr_time.tv_sec,tmpout),strfor,strcurr);
   for (i=1;i<=npar;i++) {          fprintf(ficlog,"   - if your program needs %d iterations to converge, convergence will be \n   reached in %s i.e.\n   on %s (current time is %s);\n",niterf, asc_diff_time(forecast_time.tv_sec-curr_time.tv_sec,tmpout),strfor,strcurr);
     for (j=1;j<=npar;j++) {        }
       printf("%.3e ",hess[i][j]);      }
     }      for (i=1;i<=n;i++) { 
     printf("\n");        for (j=1;j<=n;j++) xit[j]=xi[j][i]; 
   }        fptt=(*fret); 
   #ifdef DEBUG
   /* Recompute Inverse */        printf("fret=%lf \n",*fret);
   for (i=1;i<=npar;i++)        fprintf(ficlog,"fret=%lf \n",*fret);
     for (j=1;j<=npar;j++) a[i][j]=matcov[i][j];  #endif
   ludcmp(a,npar,indx,&pd);        printf("%d",i);fflush(stdout);
         fprintf(ficlog,"%d",i);fflush(ficlog);
   /*  printf("\n#Hessian matrix recomputed#\n");        linmin(p,xit,n,fret,func); 
         if (fabs(fptt-(*fret)) > del) { 
   for (j=1;j<=npar;j++) {          del=fabs(fptt-(*fret)); 
     for (i=1;i<=npar;i++) x[i]=0;          ibig=i; 
     x[j]=1;        } 
     lubksb(a,npar,indx,x);  #ifdef DEBUG
     for (i=1;i<=npar;i++){        printf("%d %.12e",i,(*fret));
       y[i][j]=x[i];        fprintf(ficlog,"%d %.12e",i,(*fret));
       printf("%.3e ",y[i][j]);        for (j=1;j<=n;j++) {
     }          xits[j]=FMAX(fabs(p[j]-pt[j]),1.e-5);
     printf("\n");          printf(" x(%d)=%.12e",j,xit[j]);
   }          fprintf(ficlog," x(%d)=%.12e",j,xit[j]);
   */        }
         for(j=1;j<=n;j++) {
   free_matrix(a,1,npar,1,npar);          printf(" p=%.12e",p[j]);
   free_matrix(y,1,npar,1,npar);          fprintf(ficlog," p=%.12e",p[j]);
   free_vector(x,1,npar);        }
   free_ivector(indx,1,npar);        printf("\n");
   free_matrix(hess,1,npar,1,npar);        fprintf(ficlog,"\n");
   #endif
       } 
 }      if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret))) {
   #ifdef DEBUG
 /*************** hessian matrix ****************/        int k[2],l;
 double hessii( double x[], double delta, int theta, double delti[])        k[0]=1;
 {        k[1]=-1;
   int i;        printf("Max: %.12e",(*func)(p));
   int l=1, lmax=20;        fprintf(ficlog,"Max: %.12e",(*func)(p));
   double k1,k2;        for (j=1;j<=n;j++) {
   double p2[NPARMAX+1];          printf(" %.12e",p[j]);
   double res;          fprintf(ficlog," %.12e",p[j]);
   double delt, delts, nkhi=10.,nkhif=1., khi=1.e-4;        }
   double fx;        printf("\n");
   int k=0,kmax=10;        fprintf(ficlog,"\n");
   double l1;        for(l=0;l<=1;l++) {
           for (j=1;j<=n;j++) {
   fx=func(x);            ptt[j]=p[j]+(p[j]-pt[j])*k[l];
   for (i=1;i<=npar;i++) p2[i]=x[i];            printf("l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
   for(l=0 ; l <=lmax; l++){            fprintf(ficlog,"l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
     l1=pow(10,l);          }
     delts=delt;          printf("func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
     for(k=1 ; k <kmax; k=k+1){          fprintf(ficlog,"func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
       delt = delta*(l1*k);        }
       p2[theta]=x[theta] +delt;  #endif
       k1=func(p2)-fx;  
       p2[theta]=x[theta]-delt;  
       k2=func(p2)-fx;        free_vector(xit,1,n); 
       /*res= (k1-2.0*fx+k2)/delt/delt; */        free_vector(xits,1,n); 
       res= (k1+k2)/delt/delt/2.; /* Divided by because L and not 2*L */        free_vector(ptt,1,n); 
              free_vector(pt,1,n); 
 #ifdef DEBUG        return; 
       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);      } 
 #endif      if (*iter == ITMAX) nrerror("powell exceeding maximum iterations."); 
       /*if(fabs(k1-2.0*fx+k2) <1.e-13){ */      for (j=1;j<=n;j++) { 
       if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)){        ptt[j]=2.0*p[j]-pt[j]; 
         k=kmax;        xit[j]=p[j]-pt[j]; 
       }        pt[j]=p[j]; 
       else if((k1 >khi/nkhif) || (k2 >khi/nkhif)){ /* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. */      } 
         k=kmax; l=lmax*10.;      fptt=(*func)(ptt); 
       }      if (fptt < fp) { 
       else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){        t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)-del*SQR(fp-fptt); 
         delts=delt;        if (t < 0.0) { 
       }          linmin(p,xit,n,fret,func); 
     }          for (j=1;j<=n;j++) { 
   }            xi[j][ibig]=xi[j][n]; 
   delti[theta]=delts;            xi[j][n]=xit[j]; 
   return res;            }
 }  #ifdef DEBUG
           printf("Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
 double hessij( double x[], double delti[], int thetai,int thetaj)          fprintf(ficlog,"Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
 {          for(j=1;j<=n;j++){
   int i;            printf(" %.12e",xit[j]);
   int l=1, l1, lmax=20;            fprintf(ficlog," %.12e",xit[j]);
   double k1,k2,k3,k4,res,fx;          }
   double p2[NPARMAX+1];          printf("\n");
   int k;          fprintf(ficlog,"\n");
   #endif
   fx=func(x);        }
   for (k=1; k<=2; k++) {      } 
     for (i=1;i<=npar;i++) p2[i]=x[i];    } 
     p2[thetai]=x[thetai]+delti[thetai]/k;  } 
     p2[thetaj]=x[thetaj]+delti[thetaj]/k;  
     k1=func(p2)-fx;  /**** Prevalence limit (stable prevalence)  ****************/
    
     p2[thetai]=x[thetai]+delti[thetai]/k;  double **prevalim(double **prlim, int nlstate, double x[], double age, double **oldm, double **savm, double ftolpl, int ij)
     p2[thetaj]=x[thetaj]-delti[thetaj]/k;  {
     k2=func(p2)-fx;    /* Computes the prevalence limit in each live state at age x by left multiplying the unit
         matrix by transitions matrix until convergence is reached */
     p2[thetai]=x[thetai]-delti[thetai]/k;  
     p2[thetaj]=x[thetaj]+delti[thetaj]/k;    int i, ii,j,k;
     k3=func(p2)-fx;    double min, max, maxmin, maxmax,sumnew=0.;
      double **matprod2();
     p2[thetai]=x[thetai]-delti[thetai]/k;    double **out, cov[NCOVMAX], **pmij();
     p2[thetaj]=x[thetaj]-delti[thetaj]/k;    double **newm;
     k4=func(p2)-fx;    double agefin, delaymax=50 ; /* Max number of years to converge */
     res=(k1-k2-k3+k4)/4.0/delti[thetai]*k/delti[thetaj]*k/2.; /* Because of L not 2*L */  
 #ifdef DEBUG    for (ii=1;ii<=nlstate+ndeath;ii++)
     printf("%d %d k=%d, k1=%.12e k2=%.12e k3=%.12e k4=%.12e delti/k=%.12e deltj/k=%.12e, xi-de/k=%.12e xj-de/k=%.12e  res=%.12e k1234=%.12e,k1-2=%.12e,k3-4=%.12e\n",thetai,thetaj,k,k1,k2,k3,k4,delti[thetai]/k,delti[thetaj]/k,x[thetai]-delti[thetai]/k,x[thetaj]-delti[thetaj]/k, res,k1-k2-k3+k4,k1-k2,k3-k4);      for (j=1;j<=nlstate+ndeath;j++){
 #endif        oldm[ii][j]=(ii==j ? 1.0 : 0.0);
   }      }
   return res;  
 }     cov[1]=1.;
    
 /************** Inverse of matrix **************/   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
 void ludcmp(double **a, int n, int *indx, double *d)    for(agefin=age-stepm/YEARM; agefin>=age-delaymax; agefin=agefin-stepm/YEARM){
 {      newm=savm;
   int i,imax,j,k;      /* Covariates have to be included here again */
   double big,dum,sum,temp;       cov[2]=agefin;
   double *vv;    
          for (k=1; k<=cptcovn;k++) {
   vv=vector(1,n);          cov[2+k]=nbcode[Tvar[k]][codtab[ij][Tvar[k]]];
   *d=1.0;          /*      printf("ij=%d k=%d Tvar[k]=%d nbcode=%d cov=%lf codtab[ij][Tvar[k]]=%d \n",ij,k, Tvar[k],nbcode[Tvar[k]][codtab[ij][Tvar[k]]],cov[2+k], codtab[ij][Tvar[k]]);*/
   for (i=1;i<=n;i++) {        }
     big=0.0;        for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2];
     for (j=1;j<=n;j++)        for (k=1; k<=cptcovprod;k++)
       if ((temp=fabs(a[i][j])) > big) big=temp;          cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]]*nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]];
     if (big == 0.0) nrerror("Singular matrix in routine ludcmp");  
     vv[i]=1.0/big;        /*printf("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/
   }        /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/
   for (j=1;j<=n;j++) {        /*printf("ij=%d cov[3]=%lf \n",ij, cov[3]);*/
     for (i=1;i<j;i++) {      out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm);
       sum=a[i][j];  
       for (k=1;k<i;k++) sum -= a[i][k]*a[k][j];      savm=oldm;
       a[i][j]=sum;      oldm=newm;
     }      maxmax=0.;
     big=0.0;      for(j=1;j<=nlstate;j++){
     for (i=j;i<=n;i++) {        min=1.;
       sum=a[i][j];        max=0.;
       for (k=1;k<j;k++)        for(i=1; i<=nlstate; i++) {
         sum -= a[i][k]*a[k][j];          sumnew=0;
       a[i][j]=sum;          for(k=1; k<=ndeath; k++) sumnew+=newm[i][nlstate+k];
       if ( (dum=vv[i]*fabs(sum)) >= big) {          prlim[i][j]= newm[i][j]/(1-sumnew);
         big=dum;          max=FMAX(max,prlim[i][j]);
         imax=i;          min=FMIN(min,prlim[i][j]);
       }        }
     }        maxmin=max-min;
     if (j != imax) {        maxmax=FMAX(maxmax,maxmin);
       for (k=1;k<=n;k++) {      }
         dum=a[imax][k];      if(maxmax < ftolpl){
         a[imax][k]=a[j][k];        return prlim;
         a[j][k]=dum;      }
       }    }
       *d = -(*d);  }
       vv[imax]=vv[j];  
     }  /*************** transition probabilities ***************/ 
     indx[j]=imax;  
     if (a[j][j] == 0.0) a[j][j]=TINY;  double **pmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )
     if (j != n) {  {
       dum=1.0/(a[j][j]);    double s1, s2;
       for (i=j+1;i<=n;i++) a[i][j] *= dum;    /*double t34;*/
     }    int i,j,j1, nc, ii, jj;
   }  
   free_vector(vv,1,n);  /* Doesn't work */      for(i=1; i<= nlstate; i++){
 ;        for(j=1; j<i;j++){
 }          for (nc=1, s2=0.;nc <=ncovmodel; nc++){
             /*s2 += param[i][j][nc]*cov[nc];*/
 void lubksb(double **a, int n, int *indx, double b[])            s2 += x[(i-1)*nlstate*ncovmodel+(j-1)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];
 {  /*       printf("Int j<i s1=%.17e, s2=%.17e\n",s1,s2); */
   int i,ii=0,ip,j;          }
   double sum;          ps[i][j]=s2;
    /*      printf("s1=%.17e, s2=%.17e\n",s1,s2); */
   for (i=1;i<=n;i++) {        }
     ip=indx[i];        for(j=i+1; j<=nlstate+ndeath;j++){
     sum=b[ip];          for (nc=1, s2=0.;nc <=ncovmodel; nc++){
     b[ip]=b[i];            s2 += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];
     if (ii)  /*        printf("Int j>i s1=%.17e, s2=%.17e %lx %lx\n",s1,s2,s1,s2); */
       for (j=ii;j<=i-1;j++) sum -= a[i][j]*b[j];          }
     else if (sum) ii=i;          ps[i][j]=s2;
     b[i]=sum;        }
   }      }
   for (i=n;i>=1;i--) {      /*ps[3][2]=1;*/
     sum=b[i];      
     for (j=i+1;j<=n;j++) sum -= a[i][j]*b[j];      for(i=1; i<= nlstate; i++){
     b[i]=sum/a[i][i];        s1=0;
   }        for(j=1; j<i; j++)
 }          s1+=exp(ps[i][j]);
         for(j=i+1; j<=nlstate+ndeath; j++)
 /************ Frequencies ********************/          s1+=exp(ps[i][j]);
 void  freqsummary(char fileres[], int agemin, int agemax, int **s, double **agev, int nlstate, int imx, int *Tvar, int **nbcode, int *ncodemax)        ps[i][i]=1./(s1+1.);
 {  /* Some frequencies */        for(j=1; j<i; j++)
            ps[i][j]= exp(ps[i][j])*ps[i][i];
   int i, m, jk, k1, i1, j1, bool, z1,z2,j;        for(j=i+1; j<=nlstate+ndeath; j++)
   double ***freq; /* Frequencies */          ps[i][j]= exp(ps[i][j])*ps[i][i];
   double *pp;        /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */
   double pos;      } /* end i */
   FILE *ficresp;      
   char fileresp[FILENAMELENGTH];      for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){
         for(jj=1; jj<= nlstate+ndeath; jj++){
   pp=vector(1,nlstate);          ps[ii][jj]=0;
           ps[ii][ii]=1;
   strcpy(fileresp,"p");        }
   strcat(fileresp,fileres);      }
   if((ficresp=fopen(fileresp,"w"))==NULL) {      
     printf("Problem with prevalence resultfile: %s\n", fileresp);  
     exit(0);  /*        for(ii=1; ii<= nlstate+ndeath; ii++){ */
   }  /*       for(jj=1; jj<= nlstate+ndeath; jj++){ */
   freq= ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,agemin,agemax+3);  /*         printf("ddd %lf ",ps[ii][jj]); */
   j1=0;  /*       } */
   /*       printf("\n "); */
   j=cptcovn;  /*        } */
   if (cptcovn<1) {j=1;ncodemax[1]=1;}  /*        printf("\n ");printf("%lf ",cov[2]); */
          /*
   for(k1=1; k1<=j;k1++){        for(i=1; i<= npar; i++) printf("%f ",x[i]);
    for(i1=1; i1<=ncodemax[k1];i1++){        goto end;*/
        j1++;      return ps;
   }
         for (i=-1; i<=nlstate+ndeath; i++)    
          for (jk=-1; jk<=nlstate+ndeath; jk++)    /**************** Product of 2 matrices ******************/
            for(m=agemin; m <= agemax+3; m++)  
              freq[i][jk][m]=0;  double **matprod2(double **out, double **in,long nrl, long nrh, long ncl, long nch, long ncolol, long ncoloh, double **b)
          {
        for (i=1; i<=imx; i++) {    /* Computes the matrix product of in(1,nrh-nrl+1)(1,nch-ncl+1) times
          bool=1;       b(1,nch-ncl+1)(1,ncoloh-ncolol+1) into out(...) */
          if  (cptcovn>0) {    /* in, b, out are matrice of pointers which should have been initialized 
            for (z1=1; z1<=cptcovn; z1++)       before: only the contents of out is modified. The function returns
              if (covar[Tvar[z1]][i]!= nbcode[Tvar[z1]][codtab[j1][z1]]) bool=0;       a pointer to pointers identical to out */
          }    long i, j, k;
           if (bool==1) {    for(i=nrl; i<= nrh; i++)
            for(m=firstpass; m<=lastpass-1; m++){      for(k=ncolol; k<=ncoloh; k++)
              if(agev[m][i]==0) agev[m][i]=agemax+1;        for(j=ncl,out[i][k]=0.; j<=nch; j++)
              if(agev[m][i]==1) agev[m][i]=agemax+2;          out[i][k] +=in[i][j]*b[j][k];
              freq[s[m][i]][s[m+1][i]][(int)agev[m][i]] += weight[i];  
              freq[s[m][i]][s[m+1][i]][(int) agemax+3] += weight[i];    return out;
            }  }
          }  
        }  
         if  (cptcovn>0) {  /************* Higher Matrix Product ***************/
          fprintf(ficresp, "\n#Variable");  
          for (z1=1; z1<=cptcovn; z1++) fprintf(ficresp, " V%d=%d",Tvar[z1],nbcode[Tvar[z1]][codtab[j1][z1]]);  double ***hpxij(double ***po, int nhstepm, double age, int hstepm, double *x, int nlstate, int stepm, double **oldm, double **savm, int ij )
        }  {
        fprintf(ficresp, "\n#");    /* Computes the transition matrix starting at age 'age' over 
        for(i=1; i<=nlstate;i++)       'nhstepm*hstepm*stepm' months (i.e. until
          fprintf(ficresp, " Age Prev(%d) N(%d) N",i,i);       age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying 
        fprintf(ficresp, "\n");       nhstepm*hstepm matrices. 
               Output is stored in matrix po[i][j][h] for h every 'hstepm' step 
   for(i=(int)agemin; i <= (int)agemax+3; i++){       (typically every 2 years instead of every month which is too big 
     if(i==(int)agemax+3)       for the memory).
       printf("Total");       Model is determined by parameters x and covariates have to be 
     else       included manually here. 
       printf("Age %d", i);  
     for(jk=1; jk <=nlstate ; jk++){       */
       for(m=-1, pp[jk]=0; m <=nlstate+ndeath ; m++)  
         pp[jk] += freq[jk][m][i];    int i, j, d, h, k;
     }    double **out, cov[NCOVMAX];
     for(jk=1; jk <=nlstate ; jk++){    double **newm;
       for(m=-1, pos=0; m <=0 ; m++)  
         pos += freq[jk][m][i];    /* Hstepm could be zero and should return the unit matrix */
       if(pp[jk]>=1.e-10)    for (i=1;i<=nlstate+ndeath;i++)
         printf(" %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);      for (j=1;j<=nlstate+ndeath;j++){
       else        oldm[i][j]=(i==j ? 1.0 : 0.0);
         printf(" %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);        po[i][j][0]=(i==j ? 1.0 : 0.0);
     }      }
     for(jk=1; jk <=nlstate ; jk++){    /* Even if hstepm = 1, at least one multiplication by the unit matrix */
       for(m=1, pp[jk]=0; m <=nlstate+ndeath; m++)    for(h=1; h <=nhstepm; h++){
         pp[jk] += freq[jk][m][i];      for(d=1; d <=hstepm; d++){
     }        newm=savm;
     for(jk=1,pos=0; jk <=nlstate ; jk++)        /* Covariates have to be included here again */
       pos += pp[jk];        cov[1]=1.;
     for(jk=1; jk <=nlstate ; jk++){        cov[2]=age+((h-1)*hstepm + (d-1))*stepm/YEARM;
       if(pos>=1.e-5)        for (k=1; k<=cptcovn;k++) cov[2+k]=nbcode[Tvar[k]][codtab[ij][Tvar[k]]];
         printf(" %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);        for (k=1; k<=cptcovage;k++)
       else          cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2];
         printf(" %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);        for (k=1; k<=cptcovprod;k++)
       if( i <= (int) agemax){          cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]]*nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]];
         if(pos>=1.e-5)  
           fprintf(ficresp," %d %.5f %.0f %.0f",i,pp[jk]/pos, pp[jk],pos);  
       else        /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/
           fprintf(ficresp," %d NaNq %.0f %.0f",i,pp[jk],pos);        /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/
       }        out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, 
     }                     pmij(pmmij,cov,ncovmodel,x,nlstate));
     for(jk=-1; jk <=nlstate+ndeath; jk++)        savm=oldm;
       for(m=-1; m <=nlstate+ndeath; m++)        oldm=newm;
         if(freq[jk][m][i] !=0 ) printf(" %d%d=%.0f",jk,m,freq[jk][m][i]);      }
     if(i <= (int) agemax)      for(i=1; i<=nlstate+ndeath; i++)
       fprintf(ficresp,"\n");        for(j=1;j<=nlstate+ndeath;j++) {
     printf("\n");          po[i][j][h]=newm[i][j];
     }          /*printf("i=%d j=%d h=%d po[i][j][h]=%f ",i,j,h,po[i][j][h]);
     }           */
  }        }
      } /* end h */
   fclose(ficresp);    return po;
   free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath,(int) agemin,(int) agemax+3);  }
   free_vector(pp,1,nlstate);  
   
 }  /* End of Freq */  /*************** log-likelihood *************/
   double func( double *x)
 /************* Waves Concatenation ***************/  {
     int i, ii, j, k, mi, d, kk;
 void  concatwav(int wav[], int **dh, int **mw, int **s, double *agedc, double **agev, int  firstpass, int lastpass, int imx, int nlstate, int stepm)    double l, ll[NLSTATEMAX], cov[NCOVMAX];
 {    double **out;
   /* Concatenates waves: wav[i] is the number of effective (useful waves) of individual i.    double sw; /* Sum of weights */
      Death is a valid wave (if date is known).    double lli; /* Individual log likelihood */
      mw[mi][i] is the mi (mi=1 to wav[i])  effective wave of individual i    int s1, s2;
      dh[m][i] of dh[mw[mi][i][i] is the delay between two effective waves m=mw[mi][i]    double bbh, survp;
      and mw[mi+1][i]. dh depends on stepm.    long ipmx;
      */    /*extern weight */
     /* We are differentiating ll according to initial status */
   int i, mi, m;    /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
   int j, k=0,jk, ju, jl,jmin=1e+5, jmax=-1;    /*for(i=1;i<imx;i++) 
 float sum=0.;      printf(" %d\n",s[4][i]);
     */
   for(i=1; i<=imx; i++){    cov[1]=1.;
     mi=0;  
     m=firstpass;    for(k=1; k<=nlstate; k++) ll[k]=0.;
     while(s[m][i] <= nlstate){  
       if(s[m][i]>=1)    if(mle==1){
         mw[++mi][i]=m;      for (i=1,ipmx=0, sw=0.; i<=imx; i++){
       if(m >=lastpass)        for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];
         break;        for(mi=1; mi<= wav[i]-1; mi++){
       else          for (ii=1;ii<=nlstate+ndeath;ii++)
         m++;            for (j=1;j<=nlstate+ndeath;j++){
     }/* end while */              oldm[ii][j]=(ii==j ? 1.0 : 0.0);
     if (s[m][i] > nlstate){              savm[ii][j]=(ii==j ? 1.0 : 0.0);
       mi++;     /* Death is another wave */            }
       /* if(mi==0)  never been interviewed correctly before death */          for(d=0; d<dh[mi][i]; d++){
          /* Only death is a correct wave */            newm=savm;
       mw[mi][i]=m;            cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;
     }            for (kk=1; kk<=cptcovage;kk++) {
               cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
     wav[i]=mi;            }
     if(mi==0)            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
       printf("Warning, no any valid information for:%d line=%d\n",num[i],i);                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
   }            savm=oldm;
             oldm=newm;
   for(i=1; i<=imx; i++){          } /* end mult */
     for(mi=1; mi<wav[i];mi++){        
       if (stepm <=0)          /*lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);*/ /* Original formula */
         dh[mi][i]=1;          /* But now since version 0.9 we anticipate for bias at large stepm.
       else{           * If stepm is larger than one month (smallest stepm) and if the exact delay 
         if (s[mw[mi+1][i]][i] > nlstate) {           * (in months) between two waves is not a multiple of stepm, we rounded to 
           j= rint(agedc[i]*12-agev[mw[mi][i]][i]*12);           * the nearest (and in case of equal distance, to the lowest) interval but now
           if(j=0) j=1;  /* Survives at least one month after exam */           * we keep into memory the bias bh[mi][i] and also the previous matrix product
         }           * (i.e to dh[mi][i]-1) saved in 'savm'. Then we inter(extra)polate the
         else{           * probability in order to take into account the bias as a fraction of the way
           j= rint( (agev[mw[mi+1][i]][i]*12 - agev[mw[mi][i]][i]*12));           * from savm to out if bh is negative or even beyond if bh is positive. bh varies
           /*printf("i=%d agevi+1=%lf agevi=%lf j=%d\n", i,agev[mw[mi+1][i]][i],agev[mw[mi][i]][i],j);*/           * -stepm/2 to stepm/2 .
            * For stepm=1 the results are the same as for previous versions of Imach.
           k=k+1;           * For stepm > 1 the results are less biased than in previous versions. 
           if (j >= jmax) jmax=j;           */
           else if (j <= jmin)jmin=j;          s1=s[mw[mi][i]][i];
           sum=sum+j;          s2=s[mw[mi+1][i]][i];
         }          bbh=(double)bh[mi][i]/(double)stepm; 
         jk= j/stepm;          /* bias bh is positive if real duration
         jl= j -jk*stepm;           * is higher than the multiple of stepm and negative otherwise.
         ju= j -(jk+1)*stepm;           */
         if(jl <= -ju)          /* lli= (savm[s1][s2]>1.e-8 ?(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]):log((1.+bbh)*out[s1][s2]));*/
           dh[mi][i]=jk;          if( s2 > nlstate){ 
         else            /* i.e. if s2 is a death state and if the date of death is known then the contribution
           dh[mi][i]=jk+1;               to the likelihood is the probability to die between last step unit time and current 
         if(dh[mi][i]==0)               step unit time, which is also equal to probability to die before dh 
           dh[mi][i]=1; /* At least one step */               minus probability to die before dh-stepm . 
       }               In version up to 0.92 likelihood was computed
     }          as if date of death was unknown. Death was treated as any other
   }          health state: the date of the interview describes the actual state
   printf("Delay (in months) between two waves Min=%d Max=%d Mean=%f\n\n ",jmin, jmax,sum/k);          and not the date of a change in health state. The former idea was
 }          to consider that at each interview the state was recorded
 /*********** Tricode ****************************/          (healthy, disable or death) and IMaCh was corrected; but when we
 void tricode(int *Tvar, int **nbcode, int imx)          introduced the exact date of death then we should have modified
 {          the contribution of an exact death to the likelihood. This new
   int Ndum[80],ij, k, j, i;          contribution is smaller and very dependent of the step unit
   int cptcode=0;          stepm. It is no more the probability to die between last interview
   for (k=0; k<79; k++) Ndum[k]=0;          and month of death but the probability to survive from last
   for (k=1; k<=7; k++) ncodemax[k]=0;          interview up to one month before death multiplied by the
            probability to die within a month. Thanks to Chris
   for (j=1; j<=cptcovn; j++) {          Jackson for correcting this bug.  Former versions increased
     for (i=1; i<=imx; i++) {          mortality artificially. The bad side is that we add another loop
       ij=(int)(covar[Tvar[j]][i]);          which slows down the processing. The difference can be up to 10%
       Ndum[ij]++;          lower mortality.
       if (ij > cptcode) cptcode=ij;            */
     }            lli=log(out[s1][s2] - savm[s1][s2]);
     /*printf("cptcode=%d cptcovn=%d ",cptcode,cptcovn);*/          }else{
     for (i=0; i<=cptcode; i++) {            lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
       if(Ndum[i]!=0) ncodemax[j]++;            /*  lli= (savm[s1][s2]>(double)1.e-8 ?log((1.+bbh)*out[s1][s2]- bbh*(savm[s1][s2])):log((1.+bbh)*out[s1][s2]));*/ /* linear interpolation */
     }          } 
            /*lli=(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]);*/
     ij=1;          /*if(lli ==000.0)*/
     for (i=1; i<=ncodemax[j]; i++) {          /*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); */
       for (k=0; k<=79; k++) {          ipmx +=1;
         if (Ndum[k] != 0) {          sw += weight[i];
           nbcode[Tvar[j]][ij]=k;          ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
           ij++;        } /* end of wave */
         }      } /* end of individual */
         if (ij > ncodemax[j]) break;    }  else if(mle==2){
       }        for (i=1,ipmx=0, sw=0.; i<=imx; i++){
     }        for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];
   }          for(mi=1; mi<= wav[i]-1; mi++){
           for (ii=1;ii<=nlstate+ndeath;ii++)
   }            for (j=1;j<=nlstate+ndeath;j++){
               oldm[ii][j]=(ii==j ? 1.0 : 0.0);
 /*********** Health Expectancies ****************/              savm[ii][j]=(ii==j ? 1.0 : 0.0);
             }
 void evsij(char fileres[], double ***eij, double x[], int nlstate, int stepm, int bage, int fage, double **oldm, double **savm, int ij)          for(d=0; d<=dh[mi][i]; d++){
 {            newm=savm;
   /* Health expectancies */            cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;
   int i, j, nhstepm, hstepm, h;            for (kk=1; kk<=cptcovage;kk++) {
   double age, agelim,hf;              cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
   double ***p3mat;            }
              out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
   fprintf(ficreseij,"# Health expectancies\n");                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
   fprintf(ficreseij,"# Age");            savm=oldm;
   for(i=1; i<=nlstate;i++)            oldm=newm;
     for(j=1; j<=nlstate;j++)          } /* end mult */
       fprintf(ficreseij," %1d-%1d",i,j);        
   fprintf(ficreseij,"\n");          s1=s[mw[mi][i]][i];
           s2=s[mw[mi+1][i]][i];
   hstepm=1*YEARM; /*  Every j years of age (in month) */          bbh=(double)bh[mi][i]/(double)stepm; 
   hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */          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 */
           ipmx +=1;
   agelim=AGESUP;          sw += weight[i];
   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */          ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
     /* nhstepm age range expressed in number of stepm */        } /* end of wave */
     nhstepm=(int) rint((agelim-age)*YEARM/stepm);      } /* end of individual */
     /* Typically if 20 years = 20*12/6=40 stepm */    }  else if(mle==3){  /* exponential inter-extrapolation */
     if (stepm >= YEARM) hstepm=1;      for (i=1,ipmx=0, sw=0.; i<=imx; i++){
     nhstepm = nhstepm/hstepm;/* Expressed in hstepm, typically 40/4=10 */        for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];
     p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);        for(mi=1; mi<= wav[i]-1; mi++){
     /* Computed by stepm unit matrices, product of hstepm matrices, stored          for (ii=1;ii<=nlstate+ndeath;ii++)
        in an array of nhstepm length: nhstepm=10, hstepm=4, stepm=6 months */            for (j=1;j<=nlstate+ndeath;j++){
     hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm, savm, ij);                oldm[ii][j]=(ii==j ? 1.0 : 0.0);
               savm[ii][j]=(ii==j ? 1.0 : 0.0);
             }
     for(i=1; i<=nlstate;i++)          for(d=0; d<dh[mi][i]; d++){
       for(j=1; j<=nlstate;j++)            newm=savm;
         for (h=0, eij[i][j][(int)age]=0; h<=nhstepm; h++){            cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;
           eij[i][j][(int)age] +=p3mat[i][j][h];            for (kk=1; kk<=cptcovage;kk++) {
         }              cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
                }
     hf=1;            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
     if (stepm >= YEARM) hf=stepm/YEARM;                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
     fprintf(ficreseij,"%.0f",age );            savm=oldm;
     for(i=1; i<=nlstate;i++)            oldm=newm;
       for(j=1; j<=nlstate;j++){          } /* end mult */
         fprintf(ficreseij," %.4f", hf*eij[i][j][(int)age]);        
       }          s1=s[mw[mi][i]][i];
     fprintf(ficreseij,"\n");          s2=s[mw[mi+1][i]][i];
     free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);          bbh=(double)bh[mi][i]/(double)stepm; 
   }          lli= (savm[s1][s2]>1.e-8 ?(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]):log((1.+bbh)*out[s1][s2])); /* exponential inter-extrapolation */
 }          ipmx +=1;
           sw += weight[i];
 /************ Variance ******************/          ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
 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)        } /* end of wave */
 {      } /* end of individual */
   /* Variance of health expectancies */    }else if (mle==4){  /* ml=4 no inter-extrapolation */
   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);*/      for (i=1,ipmx=0, sw=0.; i<=imx; i++){
   double **newm;        for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];
   double **dnewm,**doldm;        for(mi=1; mi<= wav[i]-1; mi++){
   int i, j, nhstepm, hstepm, h;          for (ii=1;ii<=nlstate+ndeath;ii++)
   int k, cptcode;            for (j=1;j<=nlstate+ndeath;j++){
    double *xp;              oldm[ii][j]=(ii==j ? 1.0 : 0.0);
   double **gp, **gm;              savm[ii][j]=(ii==j ? 1.0 : 0.0);
   double ***gradg, ***trgradg;            }
   double ***p3mat;          for(d=0; d<dh[mi][i]; d++){
   double age,agelim;            newm=savm;
   int theta;            cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;
             for (kk=1; kk<=cptcovage;kk++) {
    fprintf(ficresvij,"# Covariances of life expectancies\n");              cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
   fprintf(ficresvij,"# Age");            }
   for(i=1; i<=nlstate;i++)          
     for(j=1; j<=nlstate;j++)            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
       fprintf(ficresvij," Cov(e%1d, e%1d)",i,j);                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
   fprintf(ficresvij,"\n");            savm=oldm;
             oldm=newm;
   xp=vector(1,npar);          } /* end mult */
   dnewm=matrix(1,nlstate,1,npar);        
   doldm=matrix(1,nlstate,1,nlstate);          s1=s[mw[mi][i]][i];
            s2=s[mw[mi+1][i]][i];
   hstepm=1*YEARM; /* Every year of age */          if( s2 > nlstate){ 
   hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */            lli=log(out[s1][s2] - savm[s1][s2]);
   agelim = AGESUP;          }else{
   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */            lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
     nhstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */          }
     if (stepm >= YEARM) hstepm=1;          ipmx +=1;
     nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */          sw += weight[i];
     p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);          ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
     gradg=ma3x(0,nhstepm,1,npar,1,nlstate);  /*      printf("i=%6d s1=%1d s2=%1d mi=%1d mw=%1d dh=%3d prob=%10.6f w=%6.4f out=%10.6f sav=%10.6f\n",i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],out[s1][s2],savm[s1][s2]); */
     gp=matrix(0,nhstepm,1,nlstate);        } /* end of wave */
     gm=matrix(0,nhstepm,1,nlstate);      } /* end of individual */
     }else{  /* ml=5 no inter-extrapolation no jackson =0.8a */
     for(theta=1; theta <=npar; theta++){      for (i=1,ipmx=0, sw=0.; i<=imx; i++){
       for(i=1; i<=npar; i++){ /* Computes gradient */        for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];
         xp[i] = x[i] + (i==theta ?delti[theta]:0);        for(mi=1; mi<= wav[i]-1; mi++){
       }          for (ii=1;ii<=nlstate+ndeath;ii++)
       hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);              for (j=1;j<=nlstate+ndeath;j++){
       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);              oldm[ii][j]=(ii==j ? 1.0 : 0.0);
       for(j=1; j<= nlstate; j++){              savm[ii][j]=(ii==j ? 1.0 : 0.0);
         for(h=0; h<=nhstepm; h++){            }
           for(i=1, gp[h][j]=0.;i<=nlstate;i++)          for(d=0; d<dh[mi][i]; d++){
             gp[h][j] += prlim[i][i]*p3mat[i][j][h];            newm=savm;
         }            cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;
       }            for (kk=1; kk<=cptcovage;kk++) {
                  cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
       for(i=1; i<=npar; i++) /* Computes gradient */            }
         xp[i] = x[i] - (i==theta ?delti[theta]:0);          
       hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);              out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
       for(j=1; j<= nlstate; j++){            savm=oldm;
         for(h=0; h<=nhstepm; h++){            oldm=newm;
           for(i=1, gm[h][j]=0.;i<=nlstate;i++)          } /* end mult */
             gm[h][j] += prlim[i][i]*p3mat[i][j][h];        
         }          s1=s[mw[mi][i]][i];
       }          s2=s[mw[mi+1][i]][i];
       for(j=1; j<= nlstate; j++)          lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
         for(h=0; h<=nhstepm; h++){          ipmx +=1;
           gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta];          sw += weight[i];
         }          ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
     } /* End theta */          /*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 */
     trgradg =ma3x(0,nhstepm,1,nlstate,1,npar);      } /* end of individual */
     } /* End of if */
     for(h=0; h<=nhstepm; h++)    for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
       for(j=1; j<=nlstate;j++)    /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
         for(theta=1; theta <=npar; theta++)    l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
           trgradg[h][j][theta]=gradg[h][theta][j];    return -l;
   }
     for(i=1;i<=nlstate;i++)  
       for(j=1;j<=nlstate;j++)  /*************** log-likelihood *************/
         vareij[i][j][(int)age] =0.;  double funcone( double *x)
     for(h=0;h<=nhstepm;h++){  {
       for(k=0;k<=nhstepm;k++){    /* Same as likeli but slower because of a lot of printf and if */
         matprod2(dnewm,trgradg[h],1,nlstate,1,npar,1,npar,matcov);    int i, ii, j, k, mi, d, kk;
         matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg[k]);    double l, ll[NLSTATEMAX], cov[NCOVMAX];
         for(i=1;i<=nlstate;i++)    double **out;
           for(j=1;j<=nlstate;j++)    double lli; /* Individual log likelihood */
             vareij[i][j][(int)age] += doldm[i][j];    double llt;
       }    int s1, s2;
     }    double bbh, survp;
     h=1;    /*extern weight */
     if (stepm >= YEARM) h=stepm/YEARM;    /* We are differentiating ll according to initial status */
     fprintf(ficresvij,"%.0f ",age );    /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
     for(i=1; i<=nlstate;i++)    /*for(i=1;i<imx;i++) 
       for(j=1; j<=nlstate;j++){      printf(" %d\n",s[4][i]);
         fprintf(ficresvij," %.4f", h*vareij[i][j][(int)age]);    */
       }    cov[1]=1.;
     fprintf(ficresvij,"\n");  
     free_matrix(gp,0,nhstepm,1,nlstate);    for(k=1; k<=nlstate; k++) ll[k]=0.;
     free_matrix(gm,0,nhstepm,1,nlstate);  
     free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate);    for (i=1,ipmx=0, sw=0.; i<=imx; i++){
     free_ma3x(trgradg,0,nhstepm,1,nlstate,1,npar);      for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];
     free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);      for(mi=1; mi<= wav[i]-1; mi++){
   } /* End age */        for (ii=1;ii<=nlstate+ndeath;ii++)
            for (j=1;j<=nlstate+ndeath;j++){
   free_vector(xp,1,npar);            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
   free_matrix(doldm,1,nlstate,1,npar);            savm[ii][j]=(ii==j ? 1.0 : 0.0);
   free_matrix(dnewm,1,nlstate,1,nlstate);          }
         for(d=0; d<dh[mi][i]; d++){
 }          newm=savm;
           cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;
 /************ Variance of prevlim ******************/          for (kk=1; kk<=cptcovage;kk++) {
 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)            cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
 {          }
   /* Variance of prevalence limit */          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);*/                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
   double **newm;          savm=oldm;
   double **dnewm,**doldm;          oldm=newm;
   int i, j, nhstepm, hstepm;        } /* end mult */
   int k, cptcode;        
   double *xp;        s1=s[mw[mi][i]][i];
   double *gp, *gm;        s2=s[mw[mi+1][i]][i];
   double **gradg, **trgradg;        bbh=(double)bh[mi][i]/(double)stepm; 
   double age,agelim;        /* bias is positive if real duration
   int theta;         * is higher than the multiple of stepm and negative otherwise.
             */
   fprintf(ficresvpl,"# Standard deviation of prevalences limit\n");        if( s2 > nlstate && (mle <5) ){  /* Jackson */
   fprintf(ficresvpl,"# Age");          lli=log(out[s1][s2] - savm[s1][s2]);
   for(i=1; i<=nlstate;i++)        } else if (mle==1){
       fprintf(ficresvpl," %1d-%1d",i,i);          lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
   fprintf(ficresvpl,"\n");        } else if(mle==2){
           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 */
   xp=vector(1,npar);        } else if(mle==3){  /* exponential inter-extrapolation */
   dnewm=matrix(1,nlstate,1,npar);          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 */
   doldm=matrix(1,nlstate,1,nlstate);        } else if (mle==4){  /* mle=4 no inter-extrapolation */
            lli=log(out[s1][s2]); /* Original formula */
   hstepm=1*YEARM; /* Every year of age */        } else{  /* ml>=5 no inter-extrapolation no jackson =0.8a */
   hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */          lli=log(out[s1][s2]); /* Original formula */
   agelim = AGESUP;        } /* End of if */
   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */        ipmx +=1;
     nhstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */        sw += weight[i];
     if (stepm >= YEARM) hstepm=1;        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
     nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */  /*       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]); */
     gradg=matrix(1,npar,1,nlstate);        if(globpr){
     gp=vector(1,nlstate);          fprintf(ficresilk,"%9d %6d %1d %1d %1d %1d %3d %10.6f %6.4f\
     gm=vector(1,nlstate);   %10.6f %10.6f %10.6f ", \
                   num[i],i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],
     for(theta=1; theta <=npar; theta++){                  2*weight[i]*lli,out[s1][s2],savm[s1][s2]);
       for(i=1; i<=npar; i++){ /* Computes gradient */          for(k=1,llt=0.,l=0.; k<=nlstate; k++){
         xp[i] = x[i] + (i==theta ?delti[theta]:0);            llt +=ll[k]*gipmx/gsw;
       }            fprintf(ficresilk," %10.6f",-ll[k]*gipmx/gsw);
       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);          }
       for(i=1;i<=nlstate;i++)          fprintf(ficresilk," %10.6f\n", -llt);
         gp[i] = prlim[i][i];        }
          } /* end of wave */
       for(i=1; i<=npar; i++) /* Computes gradient */    } /* end of individual */
         xp[i] = x[i] - (i==theta ?delti[theta]:0);    for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);    /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
       for(i=1;i<=nlstate;i++)    l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
         gm[i] = prlim[i][i];    if(globpr==0){ /* First time we count the contributions and weights */
       gipmx=ipmx;
       for(i=1;i<=nlstate;i++)      gsw=sw;
         gradg[theta][i]= (gp[i]-gm[i])/2./delti[theta];    }
     } /* End theta */    return -l;
   }
     trgradg =matrix(1,nlstate,1,npar);  
   
     for(j=1; j<=nlstate;j++)  /*************** function likelione ***********/
       for(theta=1; theta <=npar; theta++)  void likelione(FILE *ficres,double p[], int npar, int nlstate, int *globpri, long *ipmx, double *sw, double *fretone, double (*funcone)(double []))
         trgradg[j][theta]=gradg[theta][j];  {
     /* This routine should help understanding what is done with 
     for(i=1;i<=nlstate;i++)       the selection of individuals/waves and
       varpl[i][(int)age] =0.;       to check the exact contribution to the likelihood.
     matprod2(dnewm,trgradg,1,nlstate,1,npar,1,npar,matcov);       Plotting could be done.
     matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg);     */
     for(i=1;i<=nlstate;i++)    int k;
       varpl[i][(int)age] = doldm[i][i]; /* Covariances are useless */  
     if(*globpri !=0){ /* Just counts and sums, no printings */
     fprintf(ficresvpl,"%.0f ",age );      strcpy(fileresilk,"ilk"); 
     for(i=1; i<=nlstate;i++)      strcat(fileresilk,fileres);
       fprintf(ficresvpl," %.5f (%.5f)",prlim[i][i],sqrt(varpl[i][(int)age]));      if((ficresilk=fopen(fileresilk,"w"))==NULL) {
     fprintf(ficresvpl,"\n");        printf("Problem with resultfile: %s\n", fileresilk);
     free_vector(gp,1,nlstate);        fprintf(ficlog,"Problem with resultfile: %s\n", fileresilk);
     free_vector(gm,1,nlstate);      }
     free_matrix(gradg,1,npar,1,nlstate);      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");
     free_matrix(trgradg,1,nlstate,1,npar);      fprintf(ficresilk, "#num_i i s1 s2 mi mw dh likeli weight 2wlli out sav ");
   } /* End age */      /*  i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],2*weight[i]*lli,out[s1][s2],savm[s1][s2]); */
       for(k=1; k<=nlstate; k++) 
   free_vector(xp,1,npar);        fprintf(ficresilk," -2*gipw/gsw*weight*ll[%d]++",k);
   free_matrix(doldm,1,nlstate,1,npar);      fprintf(ficresilk," -2*gipw/gsw*weight*ll(total)\n");
   free_matrix(dnewm,1,nlstate,1,nlstate);    }
   
 }    *fretone=(*funcone)(p);
     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); 
 /**************** Main Program *****************/    } 
 /***********************************************/    return;
   }
 /*int main(int argc, char *argv[])*/  
 int main()  
 {  /*********** Maximum Likelihood Estimation ***************/
   
   int i,j, k, n=MAXN,iter,m,size,cptcode, aaa, cptcod;  void mlikeli(FILE *ficres,double p[], int npar, int ncovmodel, int nlstate, double ftol, double (*func)(double []))
   double agedeb, agefin,hf;  {
   double agemin=1.e20, agemax=-1.e20;    int i,j, iter;
     double **xi;
   double fret;    double fret;
   double **xi,tmp,delta;    double fretone; /* Only one call to likelihood */
     /*  char filerespow[FILENAMELENGTH];*/
   double dum; /* Dummy variable */    xi=matrix(1,npar,1,npar);
   double ***p3mat;    for (i=1;i<=npar;i++)
   int *indx;      for (j=1;j<=npar;j++)
   char line[MAXLINE], linepar[MAXLINE];        xi[i][j]=(i==j ? 1.0 : 0.0);
   char title[MAXLINE];    printf("Powell\n");  fprintf(ficlog,"Powell\n");
   char optionfile[FILENAMELENGTH], datafile[FILENAMELENGTH],  filerespl[FILENAMELENGTH];    strcpy(filerespow,"pow"); 
   char fileres[FILENAMELENGTH], filerespij[FILENAMELENGTH], filereso[FILENAMELENGTH];    strcat(filerespow,fileres);
   char filerest[FILENAMELENGTH];    if((ficrespow=fopen(filerespow,"w"))==NULL) {
   char fileregp[FILENAMELENGTH];      printf("Problem with resultfile: %s\n", filerespow);
   char path[80],pathc[80],pathcd[80],pathtot[80],model[20];      fprintf(ficlog,"Problem with resultfile: %s\n", filerespow);
   int firstobs=1, lastobs=10;    }
   int sdeb, sfin; /* Status at beginning and end */    fprintf(ficrespow,"# Powell\n# iter -2*LL");
   int c,  h , cpt,l;    for (i=1;i<=nlstate;i++)
   int ju,jl, mi;      for(j=1;j<=nlstate+ndeath;j++)
   int i1,j1, k1,jk,aa,bb, stepsize;        if(j!=i)fprintf(ficrespow," p%1d%1d",i,j);
   int jnais,jdc,jint4,jint1,jint2,jint3,**outcome,**adl,*tab;    fprintf(ficrespow,"\n");
    
   int hstepm, nhstepm;    powell(p,xi,npar,ftol,&iter,&fret,func);
   double bage, fage, age, agelim, agebase;  
   double ftolpl=FTOL;    fclose(ficrespow);
   double **prlim;    printf("\n#Number of iterations = %d, -2 Log likelihood = %.12f\n",iter,func(p));
   double *severity;    fprintf(ficlog,"\n#Number of iterations = %d, -2 Log likelihood = %.12f \n",iter,func(p));
   double ***param; /* Matrix of parameters */    fprintf(ficres,"#Number of iterations = %d, -2 Log likelihood = %.12f \n",iter,func(p));
   double  *p;  
   double **matcov; /* Matrix of covariance */  }
   double ***delti3; /* Scale */  
   double *delti; /* Scale */  /**** Computes Hessian and covariance matrix ***/
   double ***eij, ***vareij;  void hesscov(double **matcov, double p[], int npar, double delti[], double ftolhess, double (*func)(double []))
   double **varpl; /* Variances of prevalence limits by age */  {
   double *epj, vepp;    double  **a,**y,*x,pd;
   char version[80]="Imach version 62c, May 1999, INED-EUROREVES ";    double **hess;
   char *alph[]={"a","a","b","c","d","e"}, str[4];    int i, j,jk;
   char z[1]="c", occ;    int *indx;
 #include <sys/time.h>  
 #include <time.h>    double hessii(double p[], double delta, int theta, double delti[],double (*func)(double []),int npar);
   char stra[80], strb[80], strc[80], strd[80],stre[80],modelsav[80];    double hessij(double p[], double delti[], int i, int j,double (*func)(double []),int npar);
   /* long total_usecs;    void lubksb(double **a, int npar, int *indx, double b[]) ;
   struct timeval start_time, end_time;    void ludcmp(double **a, int npar, int *indx, double *d) ;
      double gompertz(double p[]);
   gettimeofday(&start_time, (struct timezone*)0); */ /* at first time */    hess=matrix(1,npar,1,npar);
   
     printf("\nCalculation of the hessian matrix. Wait...\n");
   printf("\nIMACH, Version 0.63");    fprintf(ficlog,"\nCalculation of the hessian matrix. Wait...\n");
   printf("\nEnter the parameter file name: ");    for (i=1;i<=npar;i++){
       printf("%d",i);fflush(stdout);
 #ifdef windows      fprintf(ficlog,"%d",i);fflush(ficlog);
   scanf("%s",pathtot);     
   getcwd(pathcd, size);       hess[i][i]=hessii(p,ftolhess,i,delti,func,npar);
   cutv(path,optionfile,pathtot,'\\');      
   chdir(path);      /*  printf(" %f ",p[i]);
   replace(pathc,path);          printf(" %lf %lf %lf",hess[i][i],ftolhess,delti[i]);*/
 #endif    }
 #ifdef unix    
   scanf("%s",optionfile);    for (i=1;i<=npar;i++) {
 #endif      for (j=1;j<=npar;j++)  {
         if (j>i) { 
 /*-------- arguments in the command line --------*/          printf(".%d%d",i,j);fflush(stdout);
           fprintf(ficlog,".%d%d",i,j);fflush(ficlog);
   strcpy(fileres,"r");          hess[i][j]=hessij(p,delti,i,j,func,npar);
   strcat(fileres, optionfile);          
           hess[j][i]=hess[i][j];    
   /*---------arguments file --------*/          /*printf(" %lf ",hess[i][j]);*/
         }
   if((ficpar=fopen(optionfile,"r"))==NULL)    {      }
     printf("Problem with optionfile %s\n",optionfile);    }
     goto end;    printf("\n");
   }    fprintf(ficlog,"\n");
   
   strcpy(filereso,"o");    printf("\nInverting the hessian to get the covariance matrix. Wait...\n");
   strcat(filereso,fileres);    fprintf(ficlog,"\nInverting the hessian to get the covariance matrix. Wait...\n");
   if((ficparo=fopen(filereso,"w"))==NULL) {    
     printf("Problem with Output resultfile: %s\n", filereso);goto end;    a=matrix(1,npar,1,npar);
   }    y=matrix(1,npar,1,npar);
     x=vector(1,npar);
   /* Reads comments: lines beginning with '#' */    indx=ivector(1,npar);
   while((c=getc(ficpar))=='#' && c!= EOF){    for (i=1;i<=npar;i++)
     ungetc(c,ficpar);      for (j=1;j<=npar;j++) a[i][j]=hess[i][j];
     fgets(line, MAXLINE, ficpar);    ludcmp(a,npar,indx,&pd);
     puts(line);  
     fputs(line,ficparo);    for (j=1;j<=npar;j++) {
   }      for (i=1;i<=npar;i++) x[i]=0;
   ungetc(c,ficpar);      x[j]=1;
       lubksb(a,npar,indx,x);
   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);      for (i=1;i<=npar;i++){ 
   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);        matcov[i][j]=x[i];
   fprintf(ficparo,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncov=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\nmodel=%s\n", title, datafile, lastobs, firstpass,lastpass,ftol,stepm,ncov,nlstate,ndeath,maxwav, mle, weightopt,model);      }
     }
   covar=matrix(1,NCOVMAX,1,n);      
   if (strlen(model)<=1) cptcovn=0;    printf("\n#Hessian matrix#\n");
   else {    fprintf(ficlog,"\n#Hessian matrix#\n");
     j=0;    for (i=1;i<=npar;i++) { 
     j=nbocc(model,'+');      for (j=1;j<=npar;j++) { 
     cptcovn=j+1;        printf("%.3e ",hess[i][j]);
   }        fprintf(ficlog,"%.3e ",hess[i][j]);
       }
   ncovmodel=2+cptcovn;      printf("\n");
   nvar=ncovmodel-1; /* Suppressing age as a basic covariate */      fprintf(ficlog,"\n");
      }
   /* Read guess parameters */  
   /* Reads comments: lines beginning with '#' */    /* Recompute Inverse */
   while((c=getc(ficpar))=='#' && c!= EOF){    for (i=1;i<=npar;i++)
     ungetc(c,ficpar);      for (j=1;j<=npar;j++) a[i][j]=matcov[i][j];
     fgets(line, MAXLINE, ficpar);    ludcmp(a,npar,indx,&pd);
     puts(line);  
     fputs(line,ficparo);    /*  printf("\n#Hessian matrix recomputed#\n");
   }  
   ungetc(c,ficpar);    for (j=1;j<=npar;j++) {
        for (i=1;i<=npar;i++) x[i]=0;
   param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);      x[j]=1;
     for(i=1; i <=nlstate; i++)      lubksb(a,npar,indx,x);
     for(j=1; j <=nlstate+ndeath-1; j++){      for (i=1;i<=npar;i++){ 
       fscanf(ficpar,"%1d%1d",&i1,&j1);        y[i][j]=x[i];
       fprintf(ficparo,"%1d%1d",i1,j1);        printf("%.3e ",y[i][j]);
       printf("%1d%1d",i,j);        fprintf(ficlog,"%.3e ",y[i][j]);
       for(k=1; k<=ncovmodel;k++){      }
         fscanf(ficpar," %lf",&param[i][j][k]);      printf("\n");
         printf(" %lf",param[i][j][k]);      fprintf(ficlog,"\n");
         fprintf(ficparo," %lf",param[i][j][k]);    }
       }    */
       fscanf(ficpar,"\n");  
       printf("\n");    free_matrix(a,1,npar,1,npar);
       fprintf(ficparo,"\n");    free_matrix(y,1,npar,1,npar);
     }    free_vector(x,1,npar);
      free_ivector(indx,1,npar);
   npar= (nlstate+ndeath-1)*nlstate*ncovmodel;    free_matrix(hess,1,npar,1,npar);
   p=param[1][1];  
    
   /* Reads comments: lines beginning with '#' */  }
   while((c=getc(ficpar))=='#' && c!= EOF){  
     ungetc(c,ficpar);  /*************** hessian matrix ****************/
     fgets(line, MAXLINE, ficpar);  double hessii(double x[], double delta, int theta, double delti[], double (*func)(double []), int npar)
     puts(line);  {
     fputs(line,ficparo);    int i;
   }    int l=1, lmax=20;
   ungetc(c,ficpar);    double k1,k2;
     double p2[NPARMAX+1];
   delti3= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);    double res;
   delti=vector(1,npar); /* Scale of each paramater (output from hesscov) */    double delt=0.0001, delts, nkhi=10.,nkhif=1., khi=1.e-4;
   for(i=1; i <=nlstate; i++){    double fx;
     for(j=1; j <=nlstate+ndeath-1; j++){    int k=0,kmax=10;
       fscanf(ficpar,"%1d%1d",&i1,&j1);    double l1;
       printf("%1d%1d",i,j);  
       fprintf(ficparo,"%1d%1d",i1,j1);    fx=func(x);
       for(k=1; k<=ncovmodel;k++){    for (i=1;i<=npar;i++) p2[i]=x[i];
         fscanf(ficpar,"%le",&delti3[i][j][k]);    for(l=0 ; l <=lmax; l++){
         printf(" %le",delti3[i][j][k]);      l1=pow(10,l);
         fprintf(ficparo," %le",delti3[i][j][k]);      delts=delt;
       }      for(k=1 ; k <kmax; k=k+1){
       fscanf(ficpar,"\n");        delt = delta*(l1*k);
       printf("\n");        p2[theta]=x[theta] +delt;
       fprintf(ficparo,"\n");        k1=func(p2)-fx;
     }        p2[theta]=x[theta]-delt;
   }        k2=func(p2)-fx;
   delti=delti3[1][1];        /*res= (k1-2.0*fx+k2)/delt/delt; */
          res= (k1+k2)/delt/delt/2.; /* Divided by because L and not 2*L */
   /* Reads comments: lines beginning with '#' */        
   while((c=getc(ficpar))=='#' && c!= EOF){  #ifdef DEBUG
     ungetc(c,ficpar);        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);
     fgets(line, MAXLINE, ficpar);        fprintf(ficlog,"%d %d k1=%.12e k2=%.12e xk1=%.12e xk2=%.12e delt=%.12e res=%.12e l=%d k=%d,fx=%.12e\n",theta,theta,k1,k2,x[theta]+delt,x[theta]-delt,delt,res, l, k,fx);
     puts(line);  #endif
     fputs(line,ficparo);        /*if(fabs(k1-2.0*fx+k2) <1.e-13){ */
   }        if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)){
   ungetc(c,ficpar);          k=kmax;
          }
   matcov=matrix(1,npar,1,npar);        else if((k1 >khi/nkhif) || (k2 >khi/nkhif)){ /* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. */
   for(i=1; i <=npar; i++){          k=kmax; l=lmax*10.;
     fscanf(ficpar,"%s",&str);        }
     printf("%s",str);        else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){ 
     fprintf(ficparo,"%s",str);          delts=delt;
     for(j=1; j <=i; j++){        }
       fscanf(ficpar," %le",&matcov[i][j]);      }
       printf(" %.5le",matcov[i][j]);    }
       fprintf(ficparo," %.5le",matcov[i][j]);    delti[theta]=delts;
     }    return res; 
     fscanf(ficpar,"\n");    
     printf("\n");  }
     fprintf(ficparo,"\n");  
   }  double hessij( double x[], double delti[], int thetai,int thetaj,double (*func)(double []),int npar)
   for(i=1; i <=npar; i++)  {
     for(j=i+1;j<=npar;j++)    int i;
       matcov[i][j]=matcov[j][i];    int l=1, l1, lmax=20;
        double k1,k2,k3,k4,res,fx;
   printf("\n");    double p2[NPARMAX+1];
     int k;
   
    if(mle==1){    fx=func(x);
     /*-------- data file ----------*/    for (k=1; k<=2; k++) {
     if((ficres =fopen(fileres,"w"))==NULL) {      for (i=1;i<=npar;i++) p2[i]=x[i];
       printf("Problem with resultfile: %s\n", fileres);goto end;      p2[thetai]=x[thetai]+delti[thetai]/k;
     }      p2[thetaj]=x[thetaj]+delti[thetaj]/k;
     fprintf(ficres,"#%s\n",version);      k1=func(p2)-fx;
        
     if((fic=fopen(datafile,"r"))==NULL)    {      p2[thetai]=x[thetai]+delti[thetai]/k;
       printf("Problem with datafile: %s\n", datafile);goto end;      p2[thetaj]=x[thetaj]-delti[thetaj]/k;
     }      k2=func(p2)-fx;
     
     n= lastobs;      p2[thetai]=x[thetai]-delti[thetai]/k;
     severity = vector(1,maxwav);      p2[thetaj]=x[thetaj]+delti[thetaj]/k;
     outcome=imatrix(1,maxwav+1,1,n);      k3=func(p2)-fx;
     num=ivector(1,n);    
     moisnais=vector(1,n);      p2[thetai]=x[thetai]-delti[thetai]/k;
     annais=vector(1,n);      p2[thetaj]=x[thetaj]-delti[thetaj]/k;
     moisdc=vector(1,n);      k4=func(p2)-fx;
     andc=vector(1,n);      res=(k1-k2-k3+k4)/4.0/delti[thetai]*k/delti[thetaj]*k/2.; /* Because of L not 2*L */
     agedc=vector(1,n);  #ifdef DEBUG
     cod=ivector(1,n);      printf("%d %d k=%d, k1=%.12e k2=%.12e k3=%.12e k4=%.12e delti/k=%.12e deltj/k=%.12e, xi-de/k=%.12e xj-de/k=%.12e  res=%.12e k1234=%.12e,k1-2=%.12e,k3-4=%.12e\n",thetai,thetaj,k,k1,k2,k3,k4,delti[thetai]/k,delti[thetaj]/k,x[thetai]-delti[thetai]/k,x[thetaj]-delti[thetaj]/k, res,k1-k2-k3+k4,k1-k2,k3-k4);
     weight=vector(1,n);      fprintf(ficlog,"%d %d k=%d, k1=%.12e k2=%.12e k3=%.12e k4=%.12e delti/k=%.12e deltj/k=%.12e, xi-de/k=%.12e xj-de/k=%.12e  res=%.12e k1234=%.12e,k1-2=%.12e,k3-4=%.12e\n",thetai,thetaj,k,k1,k2,k3,k4,delti[thetai]/k,delti[thetaj]/k,x[thetai]-delti[thetai]/k,x[thetaj]-delti[thetaj]/k, res,k1-k2-k3+k4,k1-k2,k3-k4);
     for(i=1;i<=n;i++) weight[i]=1.0; /* Equal weights, 1 by default */  #endif
     mint=matrix(1,maxwav,1,n);    }
     anint=matrix(1,maxwav,1,n);    return res;
     s=imatrix(1,maxwav+1,1,n);  }
     adl=imatrix(1,maxwav+1,1,n);      
     tab=ivector(1,NCOVMAX);  /************** Inverse of matrix **************/
     ncodemax=ivector(1,NCOVMAX);  void ludcmp(double **a, int n, int *indx, double *d) 
   { 
     i=1;    int i,imax,j,k; 
     while (fgets(line, MAXLINE, fic) != NULL)    {    double big,dum,sum,temp; 
       if ((i >= firstobs) && (i <=lastobs)) {    double *vv; 
           
         for (j=maxwav;j>=1;j--){    vv=vector(1,n); 
           cutv(stra, strb,line,' '); s[j][i]=atoi(strb);    *d=1.0; 
           strcpy(line,stra);    for (i=1;i<=n;i++) { 
           cutv(stra, strb,line,'/'); anint[j][i]=(double)(atoi(strb)); strcpy(line,stra);      big=0.0; 
           cutv(stra, strb,line,' '); mint[j][i]=(double)(atoi(strb)); strcpy(line,stra);      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"); 
         cutv(stra, strb,line,'/'); andc[i]=(double)(atoi(strb)); strcpy(line,stra);      vv[i]=1.0/big; 
         cutv(stra, strb,line,' '); moisdc[i]=(double)(atoi(strb)); strcpy(line,stra);    } 
     for (j=1;j<=n;j++) { 
         cutv(stra, strb,line,'/'); annais[i]=(double)(atoi(strb)); strcpy(line,stra);      for (i=1;i<j;i++) { 
         cutv(stra, strb,line,' '); moisnais[i]=(double)(atoi(strb)); strcpy(line,stra);        sum=a[i][j]; 
         for (k=1;k<i;k++) sum -= a[i][k]*a[k][j]; 
         cutv(stra, strb,line,' '); weight[i]=(double)(atoi(strb)); strcpy(line,stra);        a[i][j]=sum; 
         for (j=ncov;j>=1;j--){      } 
           cutv(stra, strb,line,' '); covar[j][i]=(double)(atoi(strb)); strcpy(line,stra);      big=0.0; 
         }      for (i=j;i<=n;i++) { 
         num[i]=atol(stra);        sum=a[i][j]; 
         for (k=1;k<j;k++) 
         /* 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]));*/          sum -= a[i][k]*a[k][j]; 
         a[i][j]=sum; 
         /*printf("%d %.lf %.lf %.lf %.lf %.lf %.lf/%.lf %.lf/%.lf %.lf/%.lf %d %.lf/%.lf %d\n",num[i],(covar[1][i]), (covar[2][i]),(covar[3][i]), (covar[4][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]));*/        if ( (dum=vv[i]*fabs(sum)) >= big) { 
           big=dum; 
         i=i+1;          imax=i; 
       }        } 
     }      } 
     /*scanf("%d",i);*/      if (j != imax) { 
         for (k=1;k<=n;k++) { 
   imx=i-1; /* Number of individuals */          dum=a[imax][k]; 
            a[imax][k]=a[j][k]; 
   /* Calculation of the number of parameter from char model*/          a[j][k]=dum; 
   Tvar=ivector(1,8);            } 
            *d = -(*d); 
   if (strlen(model) >1){        vv[imax]=vv[j]; 
     j=0;      } 
     j=nbocc(model,'+');      indx[j]=imax; 
     cptcovn=j+1;      if (a[j][j] == 0.0) a[j][j]=TINY; 
        if (j != n) { 
     strcpy(modelsav,model);        dum=1.0/(a[j][j]); 
     if (j==0) {        for (i=j+1;i<=n;i++) a[i][j] *= dum; 
       cutv(stra,strb,modelsav,'V'); Tvar[1]=atoi(strb);      } 
     }    } 
     else {    free_vector(vv,1,n);  /* Doesn't work */
       for(i=j; i>=1;i--){  ;
         cutv(stra,strb,modelsav,'+');  } 
         if (strchr(strb,'*')) {  
           cutv(strd,strc,strb,'*');  void lubksb(double **a, int n, int *indx, double b[]) 
           cutv(strb,stre,strc,'V');Tvar[i+1]=ncov+1;  { 
           cutv(strb,strc,strd,'V');    int i,ii=0,ip,j; 
           for (k=1; k<=lastobs;k++)    double sum; 
             covar[ncov+1][k]=covar[atoi(stre)][k]*covar[atoi(strc)][k];   
         }    for (i=1;i<=n;i++) { 
         else {      ip=indx[i]; 
           cutv(strd,strc,strb,'V');      sum=b[ip]; 
           Tvar[i+1]=atoi(strc);      b[ip]=b[i]; 
         }      if (ii) 
         strcpy(modelsav,stra);          for (j=ii;j<=i-1;j++) sum -= a[i][j]*b[j]; 
       }      else if (sum) ii=i; 
       /*cutv(strd,strc,stra,'V');*/      b[i]=sum; 
       Tvar[1]=atoi(strc);    } 
     }    for (i=n;i>=1;i--) { 
   }      sum=b[i]; 
   /*printf("tvar=%d ",Tvar[1]);*/      for (j=i+1;j<=n;j++) sum -= a[i][j]*b[j]; 
   /*scanf("%d ",i);*/      b[i]=sum/a[i][i]; 
     fclose(fic);    } 
   } 
     if (weightopt != 1) { /* Maximisation without weights*/  
       for(i=1;i<=n;i++) weight[i]=1.0;  /************ Frequencies ********************/
     }  void  freqsummary(char fileres[], int iagemin, int iagemax, int **s, double **agev, int nlstate, int imx, int *Tvaraff, int **nbcode, int *ncodemax,double **mint,double **anint)
     /*-calculation of age at interview from date of interview and age at death -*/  {  /* Some frequencies */
     agev=matrix(1,maxwav,1,imx);    
        int i, m, jk, k1,i1, j1, bool, z1,z2,j;
     for (i=1; i<=imx; i++)  {    int first;
       agedc[i]=(moisdc[i]/12.+andc[i])-(moisnais[i]/12.+annais[i]);    double ***freq; /* Frequencies */
       for(m=1; (m<= maxwav); m++){    double *pp, **prop;
         if (mint[m][i]==99 || anint[m][i]==9999) s[m][i]=-1;      double pos,posprop, k2, dateintsum=0,k2cpt=0;
         if(s[m][i] >0){    FILE *ficresp;
           if (s[m][i] == nlstate+1) {    char fileresp[FILENAMELENGTH];
             if(agedc[i]>0)    
               if(moisdc[i]!=99 && andc[i]!=9999)    pp=vector(1,nlstate);
               agev[m][i]=agedc[i];    prop=matrix(1,nlstate,iagemin,iagemax+3);
             else{    strcpy(fileresp,"p");
               printf("Warning negative age at death: %d line:%d\n",num[i],i);    strcat(fileresp,fileres);
               agev[m][i]=-1;    if((ficresp=fopen(fileresp,"w"))==NULL) {
             }      printf("Problem with prevalence resultfile: %s\n", fileresp);
           }      fprintf(ficlog,"Problem with prevalence resultfile: %s\n", fileresp);
           else if(s[m][i] !=9){ /* Should no more exist */      exit(0);
             agev[m][i]=(mint[m][i]/12.+1./24.+anint[m][i])-(moisnais[i]/12.+1./24.+annais[i]);    }
             if(mint[m][i]==99 || anint[m][i]==9999){    freq= ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,iagemin,iagemax+3);
               agev[m][i]=1;    j1=0;
               /* printf("i=%d m=%d agev=%lf \n",i,m, agev[m][i]);    */    
             }    j=cptcoveff;
             else if(agev[m][i] <agemin){    if (cptcovn<1) {j=1;ncodemax[1]=1;}
               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);*/    first=1;
             }  
             else if(agev[m][i] >agemax){    for(k1=1; k1<=j;k1++){
               agemax=agev[m][i];      for(i1=1; i1<=ncodemax[k1];i1++){
              /* printf(" anint[%d][%d]=%.0f annais[%d]=%.0f, agemax=%.0f\n",m,i,anint[m][i], i,annais[i], agemax);*/        j1++;
             }        /*printf("cptcoveff=%d Tvaraff=%d", cptcoveff,Tvaraff[1]);
             /*agev[m][i]=anint[m][i]-annais[i];*/          scanf("%d", i);*/
             /*   agev[m][i] = age[i]+2*m;*/        for (i=-1; i<=nlstate+ndeath; i++)  
           }          for (jk=-1; jk<=nlstate+ndeath; jk++)  
           else { /* =9 */            for(m=iagemin; m <= iagemax+3; m++)
             agev[m][i]=1;              freq[i][jk][m]=0;
             s[m][i]=-1;  
           }      for (i=1; i<=nlstate; i++)  
         }        for(m=iagemin; m <= iagemax+3; m++)
         else /*= 0 Unknown */          prop[i][m]=0;
           agev[m][i]=1;        
       }        dateintsum=0;
            k2cpt=0;
     }        for (i=1; i<=imx; i++) {
     for (i=1; i<=imx; i++)  {          bool=1;
       for(m=1; (m<= maxwav); m++){          if  (cptcovn>0) {
         if (s[m][i] > (nlstate+ndeath)) {            for (z1=1; z1<=cptcoveff; z1++) 
           printf("Error: Wrong value in nlstate or ndeath\n");                if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtab[j1][z1]]) 
           goto end;                bool=0;
         }          }
       }          if (bool==1){
     }            for(m=firstpass; m<=lastpass; m++){
               k2=anint[m][i]+(mint[m][i]/12.);
 printf("Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, agemin, agemax);              /*if ((k2>=dateprev1) && (k2<=dateprev2)) {*/
                 if(agev[m][i]==0) agev[m][i]=iagemax+1;
     free_vector(severity,1,maxwav);                if(agev[m][i]==1) agev[m][i]=iagemax+2;
     free_imatrix(outcome,1,maxwav+1,1,n);                if (s[m][i]>0 && s[m][i]<=nlstate) prop[s[m][i]][(int)agev[m][i]] += weight[i];
     free_vector(moisnais,1,n);                if (m<lastpass) {
     free_vector(annais,1,n);                  freq[s[m][i]][s[m+1][i]][(int)agev[m][i]] += weight[i];
     free_matrix(mint,1,maxwav,1,n);                  freq[s[m][i]][s[m+1][i]][iagemax+3] += weight[i];
     free_matrix(anint,1,maxwav,1,n);                }
     free_vector(moisdc,1,n);                
     free_vector(andc,1,n);                if ((agev[m][i]>1) && (agev[m][i]< (iagemax+3))) {
                   dateintsum=dateintsum+k2;
                      k2cpt++;
     wav=ivector(1,imx);                }
     dh=imatrix(1,lastpass-firstpass+1,1,imx);                /*}*/
     mw=imatrix(1,lastpass-firstpass+1,1,imx);            }
              }
     /* Concatenates waves */        }
       concatwav(wav, dh, mw, s, agedc, agev,  firstpass, lastpass, imx, nlstate, stepm);         
         /*      fprintf(ficresp, "#Count between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);*/
   
 Tcode=ivector(1,100);        if  (cptcovn>0) {
    nbcode=imatrix(1,nvar,1,8);            fprintf(ficresp, "\n#********** Variable "); 
    ncodemax[1]=1;          for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresp, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
    if (cptcovn > 0) tricode(Tvar,nbcode,imx);          fprintf(ficresp, "**********\n#");
          }
    codtab=imatrix(1,100,1,10);        for(i=1; i<=nlstate;i++) 
    h=0;          fprintf(ficresp, " Age Prev(%d) N(%d) N",i,i);
    m=pow(2,cptcovn);        fprintf(ficresp, "\n");
          
    for(k=1;k<=cptcovn; k++){        for(i=iagemin; i <= iagemax+3; i++){
      for(i=1; i <=(m/pow(2,k));i++){          if(i==iagemax+3){
        for(j=1; j <= ncodemax[k]; j++){            fprintf(ficlog,"Total");
          for(cpt=1; cpt <=(m/pow(2,cptcovn+1-k)); cpt++){          }else{
            h++;            if(first==1){
            if (h>m) h=1;codtab[h][k]=j;              first=0;
          }              printf("See log file for details...\n");
        }            }
      }            fprintf(ficlog,"Age %d", i);
    }          }
           for(jk=1; jk <=nlstate ; jk++){
    /*for(i=1; i <=m ;i++){            for(m=-1, pp[jk]=0; m <=nlstate+ndeath ; m++)
      for(k=1; k <=cptcovn; k++){              pp[jk] += freq[jk][m][i]; 
        printf("i=%d k=%d %d ",i,k,codtab[i][k]);          }
      }          for(jk=1; jk <=nlstate ; jk++){
      printf("\n");            for(m=-1, pos=0; m <=0 ; m++)
    }              pos += freq[jk][m][i];
   scanf("%d",i);*/            if(pp[jk]>=1.e-10){
                  if(first==1){
    /* Calculates basic frequencies. Computes observed prevalence at single age              printf(" %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);
        and prints on file fileres'p'. */              }
   freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvar,nbcode, ncodemax);              fprintf(ficlog," %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);
             }else{
     pmmij= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */              if(first==1)
     oldms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */                printf(" %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);
     newms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */              fprintf(ficlog," %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);
     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]          for(jk=1; jk <=nlstate ; jk++){
        so we point p on param[1][1] so that p[1] maps on param[1][1][1] */            for(m=0, pp[jk]=0; m <=nlstate+ndeath; m++)
     p=param[1][1]; /* *(*(*(param +1)+1)+0) */              pp[jk] += freq[jk][m][i];
     /*scanf("%d",i);*/          }       
     mlikeli(ficres,p, npar, ncovmodel, nlstate, ftol, func);          for(jk=1,pos=0,posprop=0; jk <=nlstate ; jk++){
             pos += pp[jk];
                posprop += prop[jk][i];
     /*--------- results files --------------*/          }
     fprintf(ficres,"\ntitle=%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);          for(jk=1; jk <=nlstate ; jk++){
                if(pos>=1.e-5){
    jk=1;              if(first==1)
    fprintf(ficres,"# Parameters\n");                printf(" %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);
    printf("# Parameters\n");              fprintf(ficlog," %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);
    for(i=1,jk=1; i <=nlstate; i++){            }else{
      for(k=1; k <=(nlstate+ndeath); k++){              if(first==1)
        if (k != i)                printf(" %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);
          {              fprintf(ficlog," %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);
            printf("%d%d ",i,k);            }
            fprintf(ficres,"%1d%1d ",i,k);            if( i <= iagemax){
            for(j=1; j <=ncovmodel; j++){              if(pos>=1.e-5){
              printf("%f ",p[jk]);                fprintf(ficresp," %d %.5f %.0f %.0f",i,prop[jk][i]/posprop, prop[jk][i],posprop);
              fprintf(ficres,"%f ",p[jk]);                /*probs[i][jk][j1]= pp[jk]/pos;*/
              jk++;                /*printf("\ni=%d jk=%d j1=%d %.5f %.0f %.0f %f",i,jk,j1,pp[jk]/pos, pp[jk],pos,probs[i][jk][j1]);*/
            }              }
            printf("\n");              else
            fprintf(ficres,"\n");                fprintf(ficresp," %d NaNq %.0f %.0f",i,prop[jk][i],posprop);
          }            }
      }          }
    }          
           for(jk=-1; jk <=nlstate+ndeath; jk++)
     /* Computing hessian and covariance matrix */            for(m=-1; m <=nlstate+ndeath; m++)
     ftolhess=ftol; /* Usually correct */              if(freq[jk][m][i] !=0 ) {
     hesscov(matcov, p, npar, delti, ftolhess, func);              if(first==1)
     fprintf(ficres,"# Scales\n");                printf(" %d%d=%.0f",jk,m,freq[jk][m][i]);
     printf("# Scales\n");                fprintf(ficlog," %d%d=%.0f",jk,m,freq[jk][m][i]);
      for(i=1,jk=1; i <=nlstate; i++){              }
       for(j=1; j <=nlstate+ndeath; j++){          if(i <= iagemax)
         if (j!=i) {            fprintf(ficresp,"\n");
           fprintf(ficres,"%1d%1d",i,j);          if(first==1)
           printf("%1d%1d",i,j);            printf("Others in log...\n");
           for(k=1; k<=ncovmodel;k++){          fprintf(ficlog,"\n");
             printf(" %.5e",delti[jk]);        }
             fprintf(ficres," %.5e",delti[jk]);      }
             jk++;    }
           }    dateintmean=dateintsum/k2cpt; 
           printf("\n");   
           fprintf(ficres,"\n");    fclose(ficresp);
         }    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 Freq */
     k=1;  }
     fprintf(ficres,"# Covariance\n");  
     printf("# Covariance\n");  /************ Prevalence ********************/
     for(i=1;i<=npar;i++){  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)
       /*  if (k>nlstate) k=1;  {  
       i1=(i-1)/(ncovmodel*nlstate)+1;    /* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people
       fprintf(ficres,"%s%d%d",alph[k],i1,tab[i]);       in each health status at the date of interview (if between dateprev1 and dateprev2).
       printf("%s%d%d",alph[k],i1,tab[i]);*/       We still use firstpass and lastpass as another selection.
       fprintf(ficres,"%3d",i);    */
       printf("%3d",i);   
       for(j=1; j<=i;j++){    int i, m, jk, k1, i1, j1, bool, z1,z2,j;
         fprintf(ficres," %.5e",matcov[i][j]);    double ***freq; /* Frequencies */
         printf(" %.5e",matcov[i][j]);    double *pp, **prop;
       }    double pos,posprop; 
       fprintf(ficres,"\n");    double  y2; /* in fractional years */
       printf("\n");    int iagemin, iagemax;
       k++;  
     }    iagemin= (int) agemin;
        iagemax= (int) agemax;
     while((c=getc(ficpar))=='#' && c!= EOF){    /*pp=vector(1,nlstate);*/
       ungetc(c,ficpar);    prop=matrix(1,nlstate,iagemin,iagemax+3); 
       fgets(line, MAXLINE, ficpar);    /*  freq=ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,iagemin,iagemax+3);*/
       puts(line);    j1=0;
       fputs(line,ficparo);    
     }    j=cptcoveff;
     ungetc(c,ficpar);    if (cptcovn<1) {j=1;ncodemax[1]=1;}
      
     fscanf(ficpar,"agemin=%lf agemax=%lf bage=%lf fage=%lf\n",&agemin,&agemax, &bage, &fage);    for(k1=1; k1<=j;k1++){
          for(i1=1; i1<=ncodemax[k1];i1++){
     if (fage <= 2) {        j1++;
       bage = agemin;        
       fage = agemax;        for (i=1; i<=nlstate; i++)  
     }          for(m=iagemin; m <= iagemax+3; m++)
             prop[i][m]=0.0;
     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\n",agemin,agemax,bage,fage);        for (i=1; i<=imx; i++) { /* Each individual */
 /*------------ gnuplot -------------*/          bool=1;
 chdir(pathcd);          if  (cptcovn>0) {
   if((ficgp=fopen("graph.plt","w"))==NULL) {            for (z1=1; z1<=cptcoveff; z1++) 
     printf("Problem with file graph.gp");goto end;              if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtab[j1][z1]]) 
   }                bool=0;
 #ifdef windows          } 
   fprintf(ficgp,"cd \"%s\" \n",pathc);          if (bool==1) { 
 #endif            for(m=firstpass; m<=lastpass; m++){/* Other selection (we can limit to certain interviews*/
 m=pow(2,cptcovn);              y2=anint[m][i]+(mint[m][i]/12.); /* Fractional date in year */
                if ((y2>=dateprev1) && (y2<=dateprev2)) { /* Here is the main selection (fractional years) */
  /* 1eme*/                if(agev[m][i]==0) agev[m][i]=iagemax+1;
   for (cpt=1; cpt<= nlstate ; cpt ++) {                if(agev[m][i]==1) agev[m][i]=iagemax+2;
    for (k1=1; k1<= m ; k1 ++) {                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) { 
 #ifdef windows                  /*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]]);*/
     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);                  prop[s[m][i]][(int)agev[m][i]] += weight[i];
 #endif                  prop[s[m][i]][iagemax+3] += weight[i]; 
 #ifdef unix                } 
 fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \nplot [%.f:%.f] \"vpl%s\" u 1:2 \"\%%lf",agemin,fage,fileres);              }
 #endif            } /* end selection of waves */
           }
 for (i=1; i<= nlstate ; i ++) {        }
   if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");        for(i=iagemin; i <= iagemax+3; i++){  
   else fprintf(ficgp," \%%*lf (\%%*lf)");          
 }          for(jk=1,posprop=0; jk <=nlstate ; jk++) { 
     fprintf(ficgp,"\" t\"Stationary prevalence\" w l 0,\"vpl%s\" every :::%d::%d u 1:($2+2*$3) \"\%%lf",fileres,k1-1,k1-1);            posprop += prop[jk][i]; 
     for (i=1; i<= nlstate ; i ++) {          } 
   if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");  
   else fprintf(ficgp," \%%*lf (\%%*lf)");          for(jk=1; jk <=nlstate ; jk++){     
 }            if( i <=  iagemax){ 
   fprintf(ficgp,"\" t\"95\%% CI\" w l 1,\"vpl%s\" every :::%d::%d u 1:($2-2*$3) \"\%%lf",fileres,k1-1,k1-1);              if(posprop>=1.e-5){ 
      for (i=1; i<= nlstate ; i ++) {                probs[i][jk][j1]= prop[jk][i]/posprop;
   if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");              } 
   else fprintf(ficgp," \%%*lf (\%%*lf)");            } 
 }            }/* end jk */ 
      fprintf(ficgp,"\" t\"\" w l 1,\"p%s\" every :::%d::%d u 1:($%d) t\"Observed prevalence \" w l 2",fileres,k1-1,k1-1,2+4*(cpt-1));        }/* end i */ 
 #ifdef unix      } /* end i1 */
 fprintf(ficgp,"\nset ter gif small size 400,300");    } /* end k1 */
 #endif    
 fprintf(ficgp,"\nset out \"v%s%d%d.gif\" \nreplot\n\n",strtok(optionfile, "."),cpt,k1);    /*  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);
   /*2 eme*/  }  /* End of prevalence */
   
   for (k1=1; k1<= m ; k1 ++) {  /************* Waves Concatenation ***************/
     fprintf(ficgp,"set ylabel \"Years\" \nset ter gif small size 400,300\nplot [%.f:%.f] ",agemin,fage);  
      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)
     for (i=1; i<= nlstate+1 ; i ++) {  {
       k=2*i;    /* Concatenates waves: wav[i] is the number of effective (useful waves) of individual i.
       fprintf(ficgp,"\"t%s\" every :::%d::%d u 1:2 \"\%%lf",fileres,k1-1,k1-1);       Death is a valid wave (if date is known).
       for (j=1; j<= nlstate+1 ; j ++) {       mw[mi][i] is the mi (mi=1 to wav[i])  effective wave of individual i
   if (j==i) fprintf(ficgp," \%%lf (\%%lf)");       dh[m][i] or dh[mw[mi][i]][i] is the delay between two effective waves m=mw[mi][i]
   else fprintf(ficgp," \%%*lf (\%%*lf)");       and mw[mi+1][i]. dh depends on stepm.
 }         */
       if (i== 1) fprintf(ficgp,"\" t\"TLE\" w l ,");  
       else fprintf(ficgp,"\" t\"LE in state (%d)\" w l ,",i-1);    int i, mi, m;
     fprintf(ficgp,"\"t%s\" every :::%d::%d u 1:($2-$3*2) \"\%%lf",fileres,k1-1,k1-1);    /* int j, k=0,jk, ju, jl,jmin=1e+5, jmax=-1;
       for (j=1; j<= nlstate+1 ; j ++) {       double sum=0., jmean=0.;*/
         if (j==i) fprintf(ficgp," \%%lf (\%%lf)");    int first;
         else fprintf(ficgp," \%%*lf (\%%*lf)");    int j, k=0,jk, ju, jl;
 }      double sum=0.;
       fprintf(ficgp,"\" t\"\" w l 0,");    first=0;
      fprintf(ficgp,"\"t%s\" every :::%d::%d u 1:($2+$3*2) \"\%%lf",fileres,k1-1,k1-1);    jmin=1e+5;
       for (j=1; j<= nlstate+1 ; j ++) {    jmax=-1;
   if (j==i) fprintf(ficgp," \%%lf (\%%lf)");    jmean=0.;
   else fprintf(ficgp," \%%*lf (\%%*lf)");    for(i=1; i<=imx; i++){
 }        mi=0;
       if (i== (nlstate+1)) fprintf(ficgp,"\" t\"\" w l 0");      m=firstpass;
       else fprintf(ficgp,"\" t\"\" w l 0,");      while(s[m][i] <= nlstate){
     }        if(s[m][i]>=1)
     fprintf(ficgp,"\nset out \"e%s%d.gif\" \nreplot\n\n",strtok(optionfile, "."),k1);          mw[++mi][i]=m;
   }        if(m >=lastpass)
            break;
   /*3eme*/        else
           m++;
   for (k1=1; k1<= m ; k1 ++) {      }/* end while */
     for (cpt=1; cpt<= nlstate ; cpt ++) {      if (s[m][i] > nlstate){
       k=2+nlstate*(cpt-1);        mi++;     /* Death is another wave */
       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);        /* if(mi==0)  never been interviewed correctly before death */
       for (i=1; i< nlstate ; i ++) {           /* Only death is a correct wave */
         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);        mw[mi][i]=m;
       }      }
       fprintf(ficgp,"\nset out \"exp%s%d%d.gif\" \nreplot\n\n",strtok(optionfile, "."),cpt,k1);  
     }      wav[i]=mi;
   }      if(mi==0){
          nbwarn++;
   /* CV preval stat */        if(first==0){
   for (k1=1; k1<= m ; k1 ++) {          printf("Warning! None valid information for:%ld line=%d (skipped) and may be others, see log file\n",num[i],i);
     for (cpt=1; cpt<nlstate ; cpt ++) {          first=1;
       k=3;        }
       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/($%d",agemin,agemax,fileres,k1,k+cpt+1,k+1);        if(first==1){
       for (i=1; i< nlstate ; i ++)          fprintf(ficlog,"Warning! None valid information for:%ld line=%d (skipped)\n",num[i],i);
         fprintf(ficgp,"+$%d",k+i+1);        }
       fprintf(ficgp,")) t\"prev(%d,%d)\" w l",cpt,cpt+1);      } /* end mi==0 */
          } /* End individuals */
       l=3+(nlstate+ndeath)*cpt;  
       fprintf(ficgp,",\"pij%s\" u ($1==%d ? ($3):1/0):($%d/($%d",fileres,k1,l+cpt+1,l+1);    for(i=1; i<=imx; i++){
       for (i=1; i< nlstate ; i ++) {      for(mi=1; mi<wav[i];mi++){
         l=3+(nlstate+ndeath)*cpt;        if (stepm <=0)
         fprintf(ficgp,"+$%d",l+i+1);          dh[mi][i]=1;
       }        else{
       fprintf(ficgp,")) t\"prev(%d,%d)\" w l\n",cpt+1,cpt+1);            if (s[mw[mi+1][i]][i] > nlstate) { /* A death */
       fprintf(ficgp,"set out \"p%s%d%d.gif\" \nreplot\n\n",strtok(optionfile, "."),cpt,k1);            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){
   /* proba elementaires */                nberr++;
   for(i=1,jk=1; i <=nlstate; i++){                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]);
     for(k=1; k <=(nlstate+ndeath); k++){                j=1; /* Temporary Dangerous patch */
       if (k != i) {                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.\n  You MUST fix the contradiction between dates.\n",stepm);
         /*  fprintf(ficgp,"%1d%1d ",i,k);*/                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]);
         for(j=1; j <=ncovmodel; j++){                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.\n  You MUST fix the contradiction between dates.\n",stepm);
           fprintf(ficgp,"%s%1d%1d=%f ",alph[j],i,k,p[jk]);              }
           jk++;              k=k+1;
           fprintf(ficgp,"\n");              if (j >= jmax) jmax=j;
         }              if (j <= jmin) jmin=j;
       }              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);*/
   for(jk=1; jk <=m; jk++) {            }
   fprintf(ficgp,"\nset ter gif small size 400,300\nset log y\nplot  [%.f:%.f] ",agemin,agemax);          }
   for(i=1; i <=nlstate; i++) {          else{
     for(k=1; k <=(nlstate+ndeath); k++){            j= rint( (agev[mw[mi+1][i]][i]*12 - agev[mw[mi][i]][i]*12));
       if (k != i) {            /*      printf("%d %d %d %d\n", s[mw[mi][i]][i] ,s[mw[mi+1][i]][i],j,i);*/
         fprintf(ficgp," exp(a%d%d+b%d%d*x",i,k,i,k);            k=k+1;
         for(j=3; j <=ncovmodel; j++)            if (j >= jmax) jmax=j;
           fprintf(ficgp,"+%s%d%d*%d",alph[j],i,k,nbcode[Tvar[j-2]][codtab[jk][j-2]]);            else if (j <= jmin)jmin=j;
         fprintf(ficgp,")/(1");            /*        if (j<10) printf("j=%d jmin=%d num=%d ",j,jmin,i); */
         for(k1=1; k1 <=(nlstate+ndeath); k1++)            /*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 (k1 != i) {            if(j<0){
             fprintf(ficgp,"+exp(a%d%d+b%d%d*x",i,k1,i,k1);              nberr++;
             for(j=3; j <=ncovmodel; j++)              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(ficgp,"+%s%d%d*%d",alph[j],i,k,nbcode[Tvar[j-2]][codtab[jk][j-2]]);              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]);
             fprintf(ficgp,")");            }
           }            sum=sum+j;
         fprintf(ficgp,") t \"p%d%d\" ", i,k);          }
       if ((i+k)!= (nlstate*2+ndeath)) fprintf(ficgp,",");          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 */
 fprintf(ficgp,"\nset out \"pe%s%d.gif\" \nreplot\n\n",strtok(optionfile, "."),jk);              if(jl==0){
   }              dh[mi][i]=jk;
   fclose(ficgp);              bh[mi][i]=0;
                }else{ /* We want a negative bias in order to only have interpolation ie
 chdir(path);                    * at the price of an extra matrix product in likelihood */
     free_matrix(agev,1,maxwav,1,imx);              dh[mi][i]=jk+1;
     free_ivector(wav,1,imx);              bh[mi][i]=ju;
     free_imatrix(dh,1,lastpass-firstpass+1,1,imx);            }
     free_imatrix(mw,1,lastpass-firstpass+1,1,imx);          }else{
                if(jl <= -ju){
     free_imatrix(s,1,maxwav+1,1,n);              dh[mi][i]=jk;
                  bh[mi][i]=jl;       /* bias is positive if real duration
                                       * is higher than the multiple of stepm and negative otherwise.
     free_ivector(num,1,n);                                   */
     free_vector(agedc,1,n);            }
     free_vector(weight,1,n);            else{
     /*free_matrix(covar,1,NCOVMAX,1,n);*/              dh[mi][i]=jk+1;
     fclose(ficparo);              bh[mi][i]=ju;
     fclose(ficres);            }
    }            if(dh[mi][i]==0){
                  dh[mi][i]=1; /* At least one step */
    /*________fin mle=1_________*/              bh[mi][i]=ju; /* At least one step */
                  /*  printf(" bh=%d ju=%d jl=%d dh=%d jk=%d stepm=%d %d\n",bh[mi][i],ju,jl,dh[mi][i],jk,stepm,i);*/
             }
            } /* end if mle */
     /* No more information from the sample is required now */        }
   /* Reads comments: lines beginning with '#' */      } /* end wave */
   while((c=getc(ficpar))=='#' && c!= EOF){    }
     ungetc(c,ficpar);    jmean=sum/k;
     fgets(line, MAXLINE, ficpar);    printf("Delay (in months) between two waves Min=%d Max=%d Mean=%f\n\n ",jmin, jmax,jmean);
     puts(line);    fprintf(ficlog,"Delay (in months) between two waves Min=%d Max=%d Mean=%f\n\n ",jmin, jmax,jmean);
     fputs(line,ficparo);   }
   }  
   ungetc(c,ficpar);  /*********** Tricode ****************************/
    void tricode(int *Tvar, int **nbcode, int imx)
   fscanf(ficpar,"agemin=%lf agemax=%lf bage=%lf fage=%lf\n",&agemin,&agemax, &bage, &fage);  {
   printf("agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f\n",agemin,agemax, bage, fage);    
   fprintf(ficparo,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f\n",agemin,agemax,bage,fage);    int Ndum[20],ij=1, k, j, i, maxncov=19;
 /*--------- index.htm --------*/    int cptcode=0;
     cptcoveff=0; 
   if((fichtm=fopen("index.htm","w"))==NULL)    {   
     printf("Problem with index.htm \n");goto end;    for (k=0; k<maxncov; k++) Ndum[k]=0;
   }    for (k=1; k<=7; k++) ncodemax[k]=0;
   
  fprintf(fichtm,"<body><ul> Imach, Version 0.63<hr> <li>Outputs files<br><br>\n    for (j=1; j<=(cptcovn+2*cptcovprod); j++) {
         - Observed prevalence in each state: <a href=\"p%s\">p%s</a> <br>\n      for (i=1; i<=imx; i++) { /*reads the data file to get the maximum 
 - Estimated parameters and the covariance matrix: <a href=\"%s\">%s</a> <br>                                 modality*/ 
         - Stationary prevalence in each state: <a href=\"pl%s\">pl%s</a> <br>        ij=(int)(covar[Tvar[j]][i]); /* ij is the modality of this individual*/
         - Transition probabilities: <a href=\"pij%s\">pij%s</a><br>        Ndum[ij]++; /*store the modality */
         - Copy of the parameter file: <a href=\"o%s\">o%s</a><br>        /*printf("i=%d ij=%d Ndum[ij]=%d imx=%d",i,ij,Ndum[ij],imx);*/
         - Life expectancies by age and initial health status: <a href=\"e%s\">e%s</a> <br>        if (ij > cptcode) cptcode=ij; /* getting the maximum of covariable 
         - Variances of life expectancies by age and initial health status: <a href=\"v%s\">v%s</a><br>                                         Tvar[j]. If V=sex and male is 0 and 
         - Health expectancies with their variances: <a href=\"t%s\">t%s</a> <br>                                         female is 1, then  cptcode=1.*/
         - Standard deviation of stationary prevalences: <a href=\"vpl%s\">vpl%s</a> <br><br>",fileres,fileres,fileres,fileres,fileres,fileres,fileres,fileres,fileres,fileres,fileres,fileres,fileres,fileres,fileres,fileres,fileres,fileres);      }
   
  fprintf(fichtm," <li>Graphs</li>\n<p>");      for (i=0; i<=cptcode; i++) {
         if(Ndum[i]!=0) ncodemax[j]++; /* Nomber of modalities of the j th covariates. In fact ncodemax[j]=2 (dichotom. variables) but it can be more */
  m=cptcovn;      }
  if (cptcovn < 1) {m=1;ncodemax[1]=1;}  
       ij=1; 
  j1=0;      for (i=1; i<=ncodemax[j]; i++) {
  for(k1=1; k1<=m;k1++){        for (k=0; k<= maxncov; k++) {
    for(i1=1; i1<=ncodemax[k1];i1++){          if (Ndum[k] != 0) {
        j1++;            nbcode[Tvar[j]][ij]=k; 
        if (cptcovn > 0) {            /* store the modality in an array. 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; */
          fprintf(fichtm,"<hr>************ Results for covariates");            
          for (cpt=1; cpt<=cptcovn;cpt++)            ij++;
            fprintf(fichtm," V%d=%d ",Tvar[cpt],nbcode[Tvar[cpt]][codtab[j1][cpt]]);          }
          fprintf(fichtm," ************\n<hr>");          if (ij > ncodemax[j]) break; 
        }        }  
        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>   for (k=0; k< maxncov; k++) Ndum[k]=0;
 <img src=\"p%s%d%d.gif\">",strtok(optionfile, "."),cpt,j1,strtok(optionfile, "."),cpt,j1);  
        }   for (i=1; i<=ncovmodel-2; i++) { 
     for(cpt=1; cpt<=nlstate;cpt++) {     /* Listing of all covariables in staement model to see if some covariates appear twice. For example, V1 appears twice in V1+V1*V2.*/
        fprintf(fichtm,"<br>- Observed and stationary prevalence (with confident     ij=Tvar[i];
 interval) in state (%d): v%s%d%d.gif <br>     Ndum[ij]++;
 <img src=\"v%s%d%d.gif\">",cpt,strtok(optionfile, "."),cpt,j1,strtok(optionfile, "."),cpt,j1);     }
      }  
      for(cpt=1; cpt<=nlstate;cpt++) {   ij=1;
         fprintf(fichtm,"\n<br>- Health life expectancies by age and initial health state (%d): exp%s%d%d.gif <br>   for (i=1; i<= maxncov; i++) {
 <img src=\"exp%s%d%d.gif\">",cpt,strtok(optionfile, "."),cpt,j1,strtok(optionfile, "."),cpt,j1);     if((Ndum[i]!=0) && (i<=ncovcol)){
      }       Tvaraff[ij]=i; /*For printing */
      fprintf(fichtm,"\n<br>- Total life expectancy by age and       ij++;
 health expectancies in states (1) and (2): e%s%d.gif<br>     }
 <img src=\"e%s%d.gif\">",strtok(optionfile, "."),j1,strtok(optionfile, "."),j1);   }
 fprintf(fichtm,"\n</body>");   
    }   cptcoveff=ij-1; /*Number of simple covariates*/
  }  }
 fclose(fichtm);  
   /*********** Health Expectancies ****************/
   /*--------------- Prevalence limit --------------*/  
    void evsij(char fileres[], double ***eij, double x[], int nlstate, int stepm, int bage, int fage, double **oldm, double **savm, int ij, int estepm,double delti[],double **matcov )
   strcpy(filerespl,"pl");  
   strcat(filerespl,fileres);  {
   if((ficrespl=fopen(filerespl,"w"))==NULL) {    /* Health expectancies */
     printf("Problem with Prev limit resultfile: %s\n", filerespl);goto end;    int i, j, nhstepm, hstepm, h, nstepm, k, cptj;
   }    double age, agelim, hf;
   printf("Computing prevalence limit: result on file '%s' \n", filerespl);    double ***p3mat,***varhe;
   fprintf(ficrespl,"#Prevalence limit\n");    double **dnewm,**doldm;
   fprintf(ficrespl,"#Age ");    double *xp;
   for(i=1; i<=nlstate;i++) fprintf(ficrespl,"%d-%d ",i,i);    double **gp, **gm;
   fprintf(ficrespl,"\n");    double ***gradg, ***trgradg;
      int theta;
   prlim=matrix(1,nlstate,1,nlstate);  
   pmmij= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */    varhe=ma3x(1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int) fage);
   oldms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */    xp=vector(1,npar);
   newms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */    dnewm=matrix(1,nlstate*nlstate,1,npar);
   savms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */    doldm=matrix(1,nlstate*nlstate,1,nlstate*nlstate);
   oldm=oldms; newm=newms; savm=savms; /* Keeps fixed addresses to free */    
   k=0;    fprintf(ficreseij,"# Health expectancies\n");
   agebase=agemin;    fprintf(ficreseij,"# Age");
   agelim=agemax;    for(i=1; i<=nlstate;i++)
   ftolpl=1.e-10;      for(j=1; j<=nlstate;j++)
   i1=cptcovn;        fprintf(ficreseij," %1d-%1d (SE)",i,j);
   if (cptcovn < 1){i1=1;}    fprintf(ficreseij,"\n");
   
   for(cptcov=1;cptcov<=i1;cptcov++){    if(estepm < stepm){
     for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){      printf ("Problem %d lower than %d\n",estepm, stepm);
         k=k+1;    }
         /*printf("cptcov=%d cptcod=%d codtab=%d nbcode=%d\n",cptcov, cptcod,Tcode[cptcode],codtab[cptcod][cptcov]);*/    else  hstepm=estepm;   
         fprintf(ficrespl,"\n#****** ");    /* We compute the life expectancy from trapezoids spaced every estepm months
         for(j=1;j<=cptcovn;j++)     * This is mainly to measure the difference between two models: for example
           fprintf(ficrespl,"V%d=%d ",Tvar[j],nbcode[Tvar[j]][codtab[k][j]]);     * if stepm=24 months pijx are given only every 2 years and by summing them
         fprintf(ficrespl,"******\n");     * we are calculating an estimate of the Life Expectancy assuming a linear 
             * progression in between and thus overestimating or underestimating according
         for (age=agebase; age<=agelim; age++){     * to the curvature of the survival function. If, for the same date, we 
           prevalim(prlim, nlstate, p, age, oldm, savm,ftolpl,k);     * estimate the model with stepm=1 month, we can keep estepm to 24 months
           fprintf(ficrespl,"%.0f",age );     * to compare the new estimate of Life expectancy with the same linear 
           for(i=1; i<=nlstate;i++)     * hypothesis. A more precise result, taking into account a more precise
           fprintf(ficrespl," %.5f", prlim[i][i]);     * curvature will be obtained if estepm is as small as stepm. */
           fprintf(ficrespl,"\n");  
         }    /* For example we decided to compute the life expectancy with the smallest unit */
       }    /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
     }       nhstepm is the number of hstepm from age to agelim 
   fclose(ficrespl);       nstepm is the number of stepm from age to agelin. 
   /*------------- h Pij x at various ages ------------*/       Look at hpijx to understand the reason of that which relies in memory size
         and note for a fixed period like estepm months */
   strcpy(filerespij,"pij");  strcat(filerespij,fileres);    /* We decided (b) to get a life expectancy respecting the most precise curvature of the
   if((ficrespij=fopen(filerespij,"w"))==NULL) {       survival function given by stepm (the optimization length). Unfortunately it
     printf("Problem with Pij resultfile: %s\n", filerespij);goto end;       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 
   printf("Computing pij: result on file '%s' \n", filerespij);       results. So we changed our mind and took the option of the best precision.
      */
   stepsize=(int) (stepm+YEARM-1)/YEARM;    hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
   if (stepm<=24) stepsize=2;  
     agelim=AGESUP;
   agelim=AGESUP;    for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
   hstepm=stepsize*YEARM; /* Every year of age */      /* nhstepm age range expressed in number of stepm */
   hstepm=hstepm/stepm; /* Typically 2 years, = 2/6 months = 4 */      nstepm=(int) rint((agelim-age)*YEARM/stepm); 
        /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
   k=0;      /* if (stepm >= YEARM) hstepm=1;*/
   for(cptcov=1;cptcov<=i1;cptcov++){      nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
     for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){      p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
       k=k+1;      gradg=ma3x(0,nhstepm,1,npar,1,nlstate*nlstate);
         fprintf(ficrespij,"\n#****** ");      gp=matrix(0,nhstepm,1,nlstate*nlstate);
         for(j=1;j<=cptcovn;j++)      gm=matrix(0,nhstepm,1,nlstate*nlstate);
           fprintf(ficrespij,"V%d=%d ",Tvar[j],nbcode[Tvar[j]][codtab[k][j]]);  
         fprintf(ficrespij,"******\n");      /* Computed by stepm unit matrices, product of hstepm matrices, stored
                 in an array of nhstepm length: nhstepm=10, hstepm=4, stepm=6 months */
         for (agedeb=fage; agedeb>=bage; agedeb--){ /* If stepm=6 months */      hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm, savm, ij);  
           nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */   
           nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */  
           p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);      hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
           oldm=oldms;savm=savms;  
           hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);        /* Computing  Variances of health expectancies */
           fprintf(ficrespij,"# Age");  
           for(i=1; i<=nlstate;i++)       for(theta=1; theta <=npar; theta++){
             for(j=1; j<=nlstate+ndeath;j++)        for(i=1; i<=npar; i++){ 
               fprintf(ficrespij," %1d-%1d",i,j);          xp[i] = x[i] + (i==theta ?delti[theta]:0);
           fprintf(ficrespij,"\n");        }
           for (h=0; h<=nhstepm; h++){        hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);  
             fprintf(ficrespij,"%d %.0f %.0f",k,agedeb, agedeb+ h*hstepm/YEARM*stepm );    
             for(i=1; i<=nlstate;i++)        cptj=0;
               for(j=1; j<=nlstate+ndeath;j++)        for(j=1; j<= nlstate; j++){
                 fprintf(ficrespij," %.5f", p3mat[i][j][h]);          for(i=1; i<=nlstate; i++){
             fprintf(ficrespij,"\n");            cptj=cptj+1;
           }            for(h=0, gp[h][cptj]=0.; h<=nhstepm-1; h++){
           free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);              gp[h][cptj] = (p3mat[i][j][h]+p3mat[i][j][h+1])/2.;
           fprintf(ficrespij,"\n");            }
         }          }
     }        }
   }       
        
   fclose(ficrespij);        for(i=1; i<=npar; i++) 
           xp[i] = x[i] - (i==theta ?delti[theta]:0);
   /*---------- Health expectancies and variances ------------*/        hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);  
         
   strcpy(filerest,"t");        cptj=0;
   strcat(filerest,fileres);        for(j=1; j<= nlstate; j++){
   if((ficrest=fopen(filerest,"w"))==NULL) {          for(i=1;i<=nlstate;i++){
     printf("Problem with total LE resultfile: %s\n", filerest);goto end;            cptj=cptj+1;
   }            for(h=0, gm[h][cptj]=0.; h<=nhstepm-1; h++){
   printf("Computing Total LEs with variances: file '%s' \n", filerest);  
               gm[h][cptj] = (p3mat[i][j][h]+p3mat[i][j][h+1])/2.;
             }
   strcpy(filerese,"e");          }
   strcat(filerese,fileres);        }
   if((ficreseij=fopen(filerese,"w"))==NULL) {        for(j=1; j<= nlstate*nlstate; j++)
     printf("Problem with Health Exp. resultfile: %s\n", filerese); exit(0);          for(h=0; h<=nhstepm-1; h++){
   }            gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta];
   printf("Computing Health Expectancies: result on file '%s' \n", filerese);          }
        } 
  strcpy(fileresv,"v");     
   strcat(fileresv,fileres);  /* End theta */
   if((ficresvij=fopen(fileresv,"w"))==NULL) {  
     printf("Problem with variance resultfile: %s\n", fileresv);exit(0);       trgradg =ma3x(0,nhstepm,1,nlstate*nlstate,1,npar);
   }  
   printf("Computing Variance-covariance of DFLEs: file '%s' \n", fileresv);       for(h=0; h<=nhstepm-1; h++)
         for(j=1; j<=nlstate*nlstate;j++)
   k=0;          for(theta=1; theta <=npar; theta++)
   for(cptcov=1;cptcov<=i1;cptcov++){            trgradg[h][j][theta]=gradg[h][theta][j];
     for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){       
       k=k+1;  
       fprintf(ficrest,"\n#****** ");       for(i=1;i<=nlstate*nlstate;i++)
       for(j=1;j<=cptcovn;j++)        for(j=1;j<=nlstate*nlstate;j++)
         fprintf(ficrest,"V%d=%d ",Tvar[j],nbcode[Tvar[j]][codtab[k][j]]);          varhe[i][j][(int)age] =0.;
       fprintf(ficrest,"******\n");  
        printf("%d|",(int)age);fflush(stdout);
       fprintf(ficreseij,"\n#****** ");       fprintf(ficlog,"%d|",(int)age);fflush(ficlog);
       for(j=1;j<=cptcovn;j++)       for(h=0;h<=nhstepm-1;h++){
         fprintf(ficreseij,"V%d=%d ",j,nbcode[j][codtab[k][j]]);        for(k=0;k<=nhstepm-1;k++){
       fprintf(ficreseij,"******\n");          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]);
       fprintf(ficresvij,"\n#****** ");          for(i=1;i<=nlstate*nlstate;i++)
       for(j=1;j<=cptcovn;j++)            for(j=1;j<=nlstate*nlstate;j++)
         fprintf(ficresvij,"V%d=%d ",j,nbcode[j][codtab[k][j]]);              varhe[i][j][(int)age] += doldm[i][j]*hf*hf;
       fprintf(ficresvij,"******\n");        }
       }
       eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);      /* Computing expectancies */
       oldm=oldms;savm=savms;      for(i=1; i<=nlstate;i++)
       evsij(fileres, eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k);          for(j=1; j<=nlstate;j++)
       vareij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);          for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){
       oldm=oldms;savm=savms;            eij[i][j][(int)age] += (p3mat[i][j][h]+p3mat[i][j][h+1])/2.0*hf;
       varevsij(fileres, vareij, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k);            
        /* 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(ficrest,"#Total LEs with variances: e.. (std) ");  
       for (i=1;i<=nlstate;i++) fprintf(ficrest,"e.%d (std) ",i);          }
       fprintf(ficrest,"\n");  
              fprintf(ficreseij,"%3.0f",age );
       hf=1;      cptj=0;
       if (stepm >= YEARM) hf=stepm/YEARM;      for(i=1; i<=nlstate;i++)
       epj=vector(1,nlstate+1);        for(j=1; j<=nlstate;j++){
       for(age=bage; age <=fage ;age++){          cptj++;
         prevalim(prlim, nlstate, p, age, oldm, savm,ftolpl,k);          fprintf(ficreseij," %9.4f (%.4f)", eij[i][j][(int)age], sqrt(varhe[cptj][cptj][(int)age]) );
         fprintf(ficrest," %.0f",age);        }
         for(j=1, epj[nlstate+1]=0.;j <=nlstate;j++){      fprintf(ficreseij,"\n");
           for(i=1, epj[j]=0.;i <=nlstate;i++) {     
             epj[j] += prlim[i][i]*hf*eij[i][j][(int)age];      free_matrix(gm,0,nhstepm,1,nlstate*nlstate);
           }      free_matrix(gp,0,nhstepm,1,nlstate*nlstate);
           epj[nlstate+1] +=epj[j];      free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate*nlstate);
         }      free_ma3x(trgradg,0,nhstepm,1,nlstate*nlstate,1,npar);
         for(i=1, vepp=0.;i <=nlstate;i++)      free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
           for(j=1;j <=nlstate;j++)    }
             vepp += vareij[i][j][(int)age];    printf("\n");
         fprintf(ficrest," %.2f (%.2f)", epj[nlstate+1],hf*sqrt(vepp));    fprintf(ficlog,"\n");
         for(j=1;j <=nlstate;j++){  
           fprintf(ficrest," %.2f (%.2f)", epj[j],hf*sqrt(vareij[j][j][(int)age]));    free_vector(xp,1,npar);
         }    free_matrix(dnewm,1,nlstate*nlstate,1,npar);
         fprintf(ficrest,"\n");    free_matrix(doldm,1,nlstate*nlstate,1,nlstate*nlstate);
       }    free_ma3x(varhe,1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int)fage);
     }  }
   }  
          /************ Variance ******************/
  fclose(ficreseij);  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)
  fclose(ficresvij);  {
   fclose(ficrest);    /* Variance of health expectancies */
   fclose(ficpar);    /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);*/
   free_vector(epj,1,nlstate+1);    /* double **newm;*/
   /*  scanf("%d ",i); */    double **dnewm,**doldm;
     double **dnewmp,**doldmp;
   /*------- Variance limit prevalence------*/      int i, j, nhstepm, hstepm, h, nstepm ;
     int k, cptcode;
 strcpy(fileresvpl,"vpl");    double *xp;
   strcat(fileresvpl,fileres);    double **gp, **gm;  /* for var eij */
   if((ficresvpl=fopen(fileresvpl,"w"))==NULL) {    double ***gradg, ***trgradg; /*for var eij */
     printf("Problem with variance prev lim resultfile: %s\n", fileresvpl);    double **gradgp, **trgradgp; /* for var p point j */
     exit(0);    double *gpp, *gmp; /* for var p point j */
   }    double **varppt; /* for var p point j nlstate to nlstate+ndeath */
   printf("Computing Variance-covariance of Prevalence limit: file '%s' \n", fileresvpl);    double ***p3mat;
     double age,agelim, hf;
  k=0;    double ***mobaverage;
  for(cptcov=1;cptcov<=i1;cptcov++){    int theta;
    for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){    char digit[4];
      k=k+1;    char digitp[25];
      fprintf(ficresvpl,"\n#****** ");  
      for(j=1;j<=cptcovn;j++)    char fileresprobmorprev[FILENAMELENGTH];
        fprintf(ficresvpl,"V%d=%d ",Tvar[j],nbcode[Tvar[j]][codtab[k][j]]);  
      fprintf(ficresvpl,"******\n");    if(popbased==1){
            if(mobilav!=0)
      varpl=matrix(1,nlstate,(int) bage, (int) fage);        strcpy(digitp,"-populbased-mobilav-");
      oldm=oldms;savm=savms;      else strcpy(digitp,"-populbased-nomobil-");
      varprevlim(fileres, varpl, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k);    }
    }    else 
  }      strcpy(digitp,"-stablbased-");
   
   fclose(ficresvpl);    if (mobilav!=0) {
       mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
   /*---------- End : free ----------------*/      if (movingaverage(probs, bage, fage, mobaverage,mobilav)!=0){
   free_matrix(varpl,1,nlstate,(int) bage, (int)fage);        fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
          printf(" Error in movingaverage mobilav=%d\n",mobilav);
   free_ma3x(vareij,1,nlstate,1,nlstate,(int) bage, (int)fage);      }
   free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);    }
    
      strcpy(fileresprobmorprev,"prmorprev"); 
   free_matrix(pmmij,1,nlstate+ndeath,1,nlstate+ndeath);    sprintf(digit,"%-d",ij);
   free_matrix(oldms, 1,nlstate+ndeath,1,nlstate+ndeath);    /*printf("DIGIT=%s, ij=%d ijr=%-d|\n",digit, ij,ij);*/
   free_matrix(newms, 1,nlstate+ndeath,1,nlstate+ndeath);    strcat(fileresprobmorprev,digit); /* Tvar to be done */
   free_matrix(savms, 1,nlstate+ndeath,1,nlstate+ndeath);    strcat(fileresprobmorprev,digitp); /* Popbased or not, mobilav or not */
      strcat(fileresprobmorprev,fileres);
   free_matrix(matcov,1,npar,1,npar);    if((ficresprobmorprev=fopen(fileresprobmorprev,"w"))==NULL) {
   free_vector(delti,1,npar);      printf("Problem with resultfile: %s\n", fileresprobmorprev);
        fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobmorprev);
   free_ma3x(param,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel);    }
     printf("Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
   printf("End of Imach\n");    fprintf(ficlog,"Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
   /*  gettimeofday(&end_time, (struct timezone*)0);*/  /* after time */    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);
   /* printf("Total time was %d Sec. %d uSec.\n", end_time.tv_sec -start_time.tv_sec, end_time.tv_usec -start_time.tv_usec);*/    for(j=nlstate+1; j<=(nlstate+ndeath);j++){
   /*printf("Total time was %d uSec.\n", total_usecs);*/      fprintf(ficresprobmorprev," p.%-d SE",j);
   /*------ End -----------*/      for(i=1; i<=nlstate;i++)
         fprintf(ficresprobmorprev," w%1d p%-d%-d",i,i,j);
  end:    }  
 #ifdef windows    fprintf(ficresprobmorprev,"\n");
  chdir(pathcd);    fprintf(ficgp,"\n# Routine varevsij");
 #endif    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");
  system("wgnuplot ../gp37mgw/graph.plt");    fprintf(fichtm,"\n<br>%s  <br>\n",digitp);
   /*   } */
 #ifdef windows    varppt = matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
   while (z[0] != 'q') {  
     chdir(pathcd);    fprintf(ficresvij,"# Variance and covariance of health expectancies e.j \n#  (weighted average of eij where weights are the stable prevalence in health states i\n");
     printf("\nType e to edit output files, c to start again, and q for exiting: ");    fprintf(ficresvij,"# Age");
     scanf("%s",z);    for(i=1; i<=nlstate;i++)
     if (z[0] == 'c') system("./imach");      for(j=1; j<=nlstate;j++)
     else if (z[0] == 'e') {        fprintf(ficresvij," Cov(e%1d, e%1d)",i,j);
       chdir(path);    fprintf(ficresvij,"\n");
       system("index.htm");  
     }    xp=vector(1,npar);
     else if (z[0] == 'q') exit(0);    dnewm=matrix(1,nlstate,1,npar);
   }    doldm=matrix(1,nlstate,1,nlstate);
 #endif    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 hpijx to understand the reason of that which relies in memory size
        and note for a fixed period like k years */
     /* 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++){
           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,"\nset noparametric;set nolabel; set ter png small;set size 0.65, 0.65");
     /* for(j=nlstate+1; j<= nlstate+ndeath; j++){ *//* Only the first actually */
     fprintf(ficgp,"\n set log y; set nolog x;set xlabel \"Age\"; set ylabel \"Force of mortality (year-1)\";");
   /*   fprintf(ficgp,"\n plot \"%s\"  u 1:($3*%6.3f) not w l 1 ",fileresprobmorprev,YEARM/estepm); */
   /*   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)*%6.3f) t \"95\%% interval\" w l 2 ",fileresprobmorprev,YEARM/estepm); */
   /*   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)*%6.3f) not w l 2 ",fileresprobmorprev,YEARM/estepm); */
     fprintf(ficgp,"\n plot \"%s\"  u 1:($3) not w l 1 ",subdirf(fileresprobmorprev));
     fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)) t \"95\%% interval\" w l 2 ",subdirf(fileresprobmorprev));
     fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)) not w l 2 ",subdirf(fileresprobmorprev));
     fprintf(fichtm,"\n<br> File (multiple files are possible if covariates are present): <A href=\"%s\">%s</a>\n",subdirf(fileresprobmorprev),subdirf(fileresprobmorprev));
     fprintf(fichtm,"\n<br> Probability is computed over estepm=%d months. <br> <img src=\"%s%s.png\"> <br>\n", estepm,subdirf3(optionfilefiname,"varmuptjgr",digitp),digit);
     /*  fprintf(fichtm,"\n<br> Probability is computed over estepm=%d months and then divided by estepm and multiplied by %.0f in order to have the probability to die over a year <br> <img src=\"varmuptjgr%s%s.png\"> <br>\n", stepm,YEARM,digitp,digit);
   */
   /*   fprintf(ficgp,"\nset out \"varmuptjgr%s%s%s.png\";replot;",digitp,optionfilefiname,digit); */
     fprintf(ficgp,"\nset out \"%s%s.png\";replot;\n",subdirf3(optionfilefiname,"varmuptjgr",digitp),digit);
   
     free_vector(xp,1,npar);
     free_matrix(doldm,1,nlstate,1,nlstate);
     free_matrix(dnewm,1,nlstate,1,npar);
     free_matrix(doldmp,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
     free_matrix(dnewmp,nlstate+1,nlstate+ndeath,1,npar);
     free_matrix(varppt,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
     if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
     fclose(ficresprobmorprev);
     fflush(ficgp);
     fflush(fichtm); 
   }  /* end varevsij */
   
   /************ Variance of prevlim ******************/
   void varprevlim(char fileres[], double **varpl, double **matcov, double x[], double delti[], int nlstate, int stepm, double bage, double fage, double **oldm, double **savm, double **prlim, double ftolpl, int ij)
   {
     /* Variance of prevalence limit */
     /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double **savm,double ftolpl);*/
     double **newm;
     double **dnewm,**doldm;
     int i, j, nhstepm, hstepm;
     int k, cptcode;
     double *xp;
     double *gp, *gm;
     double **gradg, **trgradg;
     double age,agelim;
     int theta;
      
     fprintf(ficresvpl,"# Standard deviation of 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)
   {
     int i, j=0,  i1, k1, l1, t, tj;
     int k2, l2, j1,  z1;
     int k=0,l, cptcode;
     int first=1, first1;
     double cv12, mu1, mu2, lc1, lc2, v12, v21, v11, v22,v1,v2, c12, tnalp;
     double **dnewm,**doldm;
     double *xp;
     double *gp, *gm;
     double **gradg, **trgradg;
     double **mu;
     double age,agelim, cov[NCOVMAX];
     double std=2.0; /* Number of standard deviation wide of confidence ellipsoids */
     int theta;
     char fileresprob[FILENAMELENGTH];
     char fileresprobcov[FILENAMELENGTH];
     char fileresprobcor[FILENAMELENGTH];
   
     double ***varpij;
   
     strcpy(fileresprob,"prob"); 
     strcat(fileresprob,fileres);
     if((ficresprob=fopen(fileresprob,"w"))==NULL) {
       printf("Problem with resultfile: %s\n", fileresprob);
       fprintf(ficlog,"Problem with resultfile: %s\n", fileresprob);
     }
     strcpy(fileresprobcov,"probcov"); 
     strcat(fileresprobcov,fileres);
     if((ficresprobcov=fopen(fileresprobcov,"w"))==NULL) {
       printf("Problem with resultfile: %s\n", fileresprobcov);
       fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcov);
     }
     strcpy(fileresprobcor,"probcor"); 
     strcat(fileresprobcor,fileres);
     if((ficresprobcor=fopen(fileresprobcor,"w"))==NULL) {
       printf("Problem with resultfile: %s\n", fileresprobcor);
       fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcor);
     }
     printf("Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);
     fprintf(ficlog,"Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);
     printf("Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);
     fprintf(ficlog,"Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);
     printf("and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);
     fprintf(ficlog,"and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);
     
     fprintf(ficresprob,"#One-step probabilities and stand. devi in ()\n");
     fprintf(ficresprob,"# Age");
     fprintf(ficresprobcov,"#One-step probabilities and covariance matrix\n");
     fprintf(ficresprobcov,"# Age");
     fprintf(ficresprobcor,"#One-step probabilities and correlation matrix\n");
     fprintf(ficresprobcov,"# Age");
   
   
     for(i=1; i<=nlstate;i++)
       for(j=1; j<=(nlstate+ndeath);j++){
         fprintf(ficresprob," p%1d-%1d (SE)",i,j);
         fprintf(ficresprobcov," p%1d-%1d ",i,j);
         fprintf(ficresprobcor," p%1d-%1d ",i,j);
       }  
    /* fprintf(ficresprob,"\n");
     fprintf(ficresprobcov,"\n");
     fprintf(ficresprobcor,"\n");
    */
    xp=vector(1,npar);
     dnewm=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);
     doldm=matrix(1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath));
     mu=matrix(1,(nlstate)*(nlstate+ndeath), (int) bage, (int)fage);
     varpij=ma3x(1,nlstate*(nlstate+ndeath),1,nlstate*(nlstate+ndeath),(int) bage, (int) fage);
     first=1;
     fprintf(ficgp,"\n# Routine varprob");
     fprintf(fichtm,"\n<li><h4> Computing and drawing one step probabilities with their confidence intervals</h4></li>\n");
     fprintf(fichtm,"\n");
   
     fprintf(fichtm,"\n<li><h4> <a href=\"%s\">Matrix of variance-covariance of pairs of step probabilities (drawings)</a></h4></li>\n",optionfilehtmcov);
     fprintf(fichtmcov,"\n<h4>Matrix of variance-covariance of pairs of step probabilities</h4>\n\
     file %s<br>\n",optionfilehtmcov);
     fprintf(fichtmcov,"\nEllipsoids of confidence centered on point (p<inf>ij</inf>, p<inf>kl</inf>) are estimated\
   and drawn. It helps understanding how is the covariance between two incidences.\
    They are expressed in year<sup>-1</sup> in order to be less dependent of stepm.<br>\n");
     fprintf(fichtmcov,"\n<br> Contour plot corresponding to x'cov<sup>-1</sup>x = 4 (where x is the column vector (pij,pkl)) are drawn. \
   It can be understood this way: if pij and pkl where uncorrelated the (2x2) matrix of covariance \
   would have been (1/(var pij), 0 , 0, 1/(var pkl)), and the confidence interval would be 2 \
   standard deviations wide on each axis. <br>\
    Now, if both incidences are correlated (usual case) we diagonalised the inverse of the covariance matrix\
    and made the appropriate rotation to look at the uncorrelated principal directions.<br>\
   To be simple, these graphs help to understand the significativity of each parameter in relation to a second other one.<br> \n");
   
     cov[1]=1;
     tj=cptcoveff;
     if (cptcovn<1) {tj=1;ncodemax[1]=1;}
     j1=0;
     for(t=1; t<=tj;t++){
       for(i1=1; i1<=ncodemax[t];i1++){ 
         j1++;
         if  (cptcovn>0) {
           fprintf(ficresprob, "\n#********** Variable "); 
           for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprob, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
           fprintf(ficresprob, "**********\n#\n");
           fprintf(ficresprobcov, "\n#********** Variable "); 
           for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcov, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
           fprintf(ficresprobcov, "**********\n#\n");
           
           fprintf(ficgp, "\n#********** Variable "); 
           for (z1=1; z1<=cptcoveff; z1++) fprintf(ficgp, " V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
           fprintf(ficgp, "**********\n#\n");
           
           
           fprintf(fichtmcov, "\n<hr  size=\"2\" color=\"#EC5E5E\">********** Variable "); 
           for (z1=1; z1<=cptcoveff; z1++) fprintf(fichtm, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
           fprintf(fichtmcov, "**********\n<hr size=\"2\" color=\"#EC5E5E\">");
           
           fprintf(ficresprobcor, "\n#********** Variable ");    
           for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcor, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
           fprintf(ficresprobcor, "**********\n#");    
         }
         
         for (age=bage; age<=fage; age ++){ 
           cov[2]=age;
           for (k=1; k<=cptcovn;k++) {
             cov[2+k]=nbcode[Tvar[k]][codtab[j1][Tvar[k]]];
           }
           for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2];
           for (k=1; k<=cptcovprod;k++)
             cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]]*nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]];
           
           gradg=matrix(1,npar,1,(nlstate)*(nlstate+ndeath));
           trgradg=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);
           gp=vector(1,(nlstate)*(nlstate+ndeath));
           gm=vector(1,(nlstate)*(nlstate+ndeath));
       
           for(theta=1; theta <=npar; theta++){
             for(i=1; i<=npar; i++)
               xp[i] = x[i] + (i==theta ?delti[theta]:(double)0);
             
             pmij(pmmij,cov,ncovmodel,xp,nlstate);
             
             k=0;
             for(i=1; i<= (nlstate); i++){
               for(j=1; j<=(nlstate+ndeath);j++){
                 k=k+1;
                 gp[k]=pmmij[i][j];
               }
             }
             
             for(i=1; i<=npar; i++)
               xp[i] = x[i] - (i==theta ?delti[theta]:(double)0);
       
             pmij(pmmij,cov,ncovmodel,xp,nlstate);
             k=0;
             for(i=1; i<=(nlstate); i++){
               for(j=1; j<=(nlstate+ndeath);j++){
                 k=k+1;
                 gm[k]=pmmij[i][j];
               }
             }
        
             for(i=1; i<= (nlstate)*(nlstate+ndeath); i++) 
               gradg[theta][i]=(gp[i]-gm[i])/(double)2./delti[theta];  
           }
   
           for(j=1; j<=(nlstate)*(nlstate+ndeath);j++)
             for(theta=1; theta <=npar; theta++)
               trgradg[j][theta]=gradg[theta][j];
           
           matprod2(dnewm,trgradg,1,(nlstate)*(nlstate+ndeath),1,npar,1,npar,matcov); 
           matprod2(doldm,dnewm,1,(nlstate)*(nlstate+ndeath),1,npar,1,(nlstate)*(nlstate+ndeath),gradg);
           free_vector(gp,1,(nlstate+ndeath)*(nlstate+ndeath));
           free_vector(gm,1,(nlstate+ndeath)*(nlstate+ndeath));
           free_matrix(trgradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);
           free_matrix(gradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);
   
           pmij(pmmij,cov,ncovmodel,x,nlstate);
           
           k=0;
           for(i=1; i<=(nlstate); i++){
             for(j=1; j<=(nlstate+ndeath);j++){
               k=k+1;
               mu[k][(int) age]=pmmij[i][j];
             }
           }
           for(i=1;i<=(nlstate)*(nlstate+ndeath);i++)
             for(j=1;j<=(nlstate)*(nlstate+ndeath);j++)
               varpij[i][j][(int)age] = doldm[i][j];
   
           /*printf("\n%d ",(int)age);
             for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){
             printf("%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));
             fprintf(ficlog,"%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));
             }*/
   
           fprintf(ficresprob,"\n%d ",(int)age);
           fprintf(ficresprobcov,"\n%d ",(int)age);
           fprintf(ficresprobcor,"\n%d ",(int)age);
   
           for (i=1; i<=(nlstate)*(nlstate+ndeath);i++)
             fprintf(ficresprob,"%11.3e (%11.3e) ",mu[i][(int) age],sqrt(varpij[i][i][(int)age]));
           for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){
             fprintf(ficresprobcov,"%11.3e ",mu[i][(int) age]);
             fprintf(ficresprobcor,"%11.3e ",mu[i][(int) age]);
           }
           i=0;
           for (k=1; k<=(nlstate);k++){
             for (l=1; l<=(nlstate+ndeath);l++){ 
               i=i++;
               fprintf(ficresprobcov,"\n%d %d-%d",(int)age,k,l);
               fprintf(ficresprobcor,"\n%d %d-%d",(int)age,k,l);
               for (j=1; j<=i;j++){
                 fprintf(ficresprobcov," %11.3e",varpij[i][j][(int)age]);
                 fprintf(ficresprobcor," %11.3e",varpij[i][j][(int) age]/sqrt(varpij[i][i][(int) age])/sqrt(varpij[j][j][(int)age]));
               }
             }
           }/* end of loop for state */
         } /* end of loop for age */
   
         /* Confidence intervalle of pij  */
         /*
           fprintf(ficgp,"\nset noparametric;unset label");
           fprintf(ficgp,"\nset log y;unset log x; set xlabel \"Age\";set ylabel \"probability (year-1)\"");
           fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65");
           fprintf(fichtm,"\n<br>Probability with  confidence intervals expressed in year<sup>-1</sup> :<a href=\"pijgr%s.png\">pijgr%s.png</A>, ",optionfilefiname,optionfilefiname);
           fprintf(fichtm,"\n<br><img src=\"pijgr%s.png\"> ",optionfilefiname);
           fprintf(ficgp,"\nset out \"pijgr%s.png\"",optionfilefiname);
           fprintf(ficgp,"\nplot \"%s\" every :::%d::%d u 1:2 \"\%%lf",k1,k2,xfilevarprob);
         */
   
         /* Drawing ellipsoids of confidence of two variables p(k1-l1,k2-l2)*/
         first1=1;
         for (k2=1; k2<=(nlstate);k2++){
           for (l2=1; l2<=(nlstate+ndeath);l2++){ 
             if(l2==k2) continue;
             j=(k2-1)*(nlstate+ndeath)+l2;
             for (k1=1; k1<=(nlstate);k1++){
               for (l1=1; l1<=(nlstate+ndeath);l1++){ 
                 if(l1==k1) continue;
                 i=(k1-1)*(nlstate+ndeath)+l1;
                 if(i<=j) continue;
                 for (age=bage; age<=fage; age ++){ 
                   if ((int)age %5==0){
                     v1=varpij[i][i][(int)age]/stepm*YEARM/stepm*YEARM;
                     v2=varpij[j][j][(int)age]/stepm*YEARM/stepm*YEARM;
                     cv12=varpij[i][j][(int)age]/stepm*YEARM/stepm*YEARM;
                     mu1=mu[i][(int) age]/stepm*YEARM ;
                     mu2=mu[j][(int) age]/stepm*YEARM;
                     c12=cv12/sqrt(v1*v2);
                     /* Computing eigen value of matrix of covariance */
                     lc1=((v1+v2)+sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                     lc2=((v1+v2)-sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                     /* Eigen vectors */
                     v11=(1./sqrt(1+(v1-lc1)*(v1-lc1)/cv12/cv12));
                     /*v21=sqrt(1.-v11*v11); *//* error */
                     v21=(lc1-v1)/cv12*v11;
                     v12=-v21;
                     v22=v11;
                     tnalp=v21/v11;
                     if(first1==1){
                       first1=0;
                       printf("%d %d%d-%d%d mu %.4e %.4e Var %.4e %.4e cor %.3f cov %.4e Eig %.3e %.3e 1stv %.3f %.3f tang %.3f\nOthers in log...\n",(int) age,k1,l1,k2,l2,mu1,mu2,v1,v2,c12,cv12,lc1,lc2,v11,v21,tnalp);
                     }
                     fprintf(ficlog,"%d %d%d-%d%d mu %.4e %.4e Var %.4e %.4e cor %.3f cov %.4e Eig %.3e %.3e 1stv %.3f %.3f tan %.3f\n",(int) age,k1,l1,k2,l2,mu1,mu2,v1,v2,c12,cv12,lc1,lc2,v11,v21,tnalp);
                     /*printf(fignu*/
                     /* mu1+ v11*lc1*cost + v12*lc2*sin(t) */
                     /* mu2+ v21*lc1*cost + v22*lc2*sin(t) */
                     if(first==1){
                       first=0;
                       fprintf(ficgp,"\nset parametric;unset label");
                       fprintf(ficgp,"\nset log y;set log x; set xlabel \"p%1d%1d (year-1)\";set ylabel \"p%1d%1d (year-1)\"",k1,l1,k2,l2);
                       fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65");
                       fprintf(fichtmcov,"\n<br>Ellipsoids of confidence cov(p%1d%1d,p%1d%1d) expressed in year<sup>-1</sup>\
    :<a href=\"%s%d%1d%1d-%1d%1d.png\">\
   %s%d%1d%1d-%1d%1d.png</A>, ",k1,l1,k2,l2,\
                               subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2,\
                               subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2);
                       fprintf(fichtmcov,"\n<br><img src=\"%s%d%1d%1d-%1d%1d.png\"> ",subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2);
                       fprintf(fichtmcov,"\n<br> Correlation at age %d (%.3f),",(int) age, c12);
                       fprintf(ficgp,"\nset out \"%s%d%1d%1d-%1d%1d.png\"",subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2);
                       fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);
                       fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);
                       fprintf(ficgp,"\nplot [-pi:pi] %11.3e+ %.3f*(%11.3e*%11.3e*cos(t)+%11.3e*%11.3e*sin(t)), %11.3e +%.3f*(%11.3e*%11.3e*cos(t)+%11.3e*%11.3e*sin(t)) not",\
                               mu1,std,v11,sqrt(lc1),v12,sqrt(lc2),\
                               mu2,std,v21,sqrt(lc1),v22,sqrt(lc2));
                     }else{
                       first=0;
                       fprintf(fichtmcov," %d (%.3f),",(int) age, c12);
                       fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);
                       fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);
                       fprintf(ficgp,"\nreplot %11.3e+ %.3f*(%11.3e*%11.3e*cos(t)+%11.3e*%11.3e*sin(t)), %11.3e +%.3f*(%11.3e*%11.3e*cos(t)+%11.3e*%11.3e*sin(t)) not",\
                               mu1,std,v11,sqrt(lc1),v12,sqrt(lc2),\
                               mu2,std,v21,sqrt(lc1),v22,sqrt(lc2));
                     }/* if first */
                   } /* age mod 5 */
                 } /* end loop age */
                 fprintf(ficgp,"\nset out \"%s%d%1d%1d-%1d%1d.png\";replot;",subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2);
                 first=1;
               } /*l12 */
             } /* k12 */
           } /*l1 */
         }/* k1 */
       } /* loop covariates */
     }
     free_ma3x(varpij,1,nlstate,1,nlstate+ndeath,(int) bage, (int)fage);
     free_matrix(mu,1,(nlstate+ndeath)*(nlstate+ndeath),(int) bage, (int)fage);
     free_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><h4>Result files (first order: no variance)</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,"\
    - Stable prevalence in each health state: <a href=\"%s\">%s</a> <br>\n",
              subdirf2(fileres,"pl"),subdirf2(fileres,"pl"));
      fprintf(fichtm,"\
    - Life expectancies by age and initial health status (estepm=%2d months): \
      <a href=\"%s\">%s</a> <br>\n</li>",
              estepm,subdirf2(fileres,"e"),subdirf2(fileres,"e"));
   
   fprintf(fichtm," \n<ul><li><b>Graphs</b></li><p>");
   
    m=cptcoveff;
    if (cptcovn < 1) {m=1;ncodemax[1]=1;}
   
    jj1=0;
    for(k1=1; k1<=m;k1++){
      for(i1=1; i1<=ncodemax[k1];i1++){
        jj1++;
        if (cptcovn > 0) {
          fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");
          for (cpt=1; cpt<=cptcoveff;cpt++) 
            fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtab[jj1][cpt]]);
          fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");
        }
        /* Pij */
        fprintf(fichtm,"<br>- Pij or Conditional probabilities to be observed in state j being in state i, %d (stepm) months before: %s%d1.png<br> \
   <img src=\"%s%d1.png\">",stepm,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: %s%d2.png<br> \
   <img src=\"%s%d2.png\">",stepm,subdirf2(optionfilefiname,"pe"),jj1,subdirf2(optionfilefiname,"pe"),jj1); 
          /* Stable prevalence in each health state */
          for(cpt=1; cpt<nlstate;cpt++){
            fprintf(fichtm,"<br>- Stable prevalence in each health state : p%s%d%d.png<br> \
   <img src=\"%s%d%d.png\">",subdirf2(optionfilefiname,"p"),cpt,jj1,subdirf2(optionfilefiname,"p"),cpt,jj1);
          }
        for(cpt=1; cpt<=nlstate;cpt++) {
           fprintf(fichtm,"\n<br>- Health life expectancies by age and initial health state (%d): %s%d%d.png <br> \
   <img src=\"%s%d%d.png\">",cpt,subdirf2(optionfilefiname,"exp"),cpt,jj1,subdirf2(optionfilefiname,"exp"),cpt,jj1);
        }
      } /* end i1 */
    }/* End k1 */
    fprintf(fichtm,"</ul>");
   
   
    fprintf(fichtm,"\
   \n<br><li><h4> Result files (second order: variances)</h4>\n\
    - Parameter file with estimated parameters and covariance matrix: <a href=\"%s\">%s</a> <br>\n", rfileres,rfileres);
   
    fprintf(fichtm," - Variance of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
            subdirf2(fileres,"prob"),subdirf2(fileres,"prob"));
    fprintf(fichtm,"\
    - Variance-covariance of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
            subdirf2(fileres,"probcov"),subdirf2(fileres,"probcov"));
   
    fprintf(fichtm,"\
    - Correlation matrix of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
            subdirf2(fileres,"probcor"),subdirf2(fileres,"probcor"));
    fprintf(fichtm,"\
    - Variances and covariances of life expectancies by age and initial health status (estepm=%d months): <a href=\"%s\">%s</a><br>\n",
            estepm, subdirf2(fileres,"v"),subdirf2(fileres,"v"));
    fprintf(fichtm,"\
    - Health expectancies with their variances (no covariance): <a href=\"%s\">%s</a> <br>\n",
            subdirf2(fileres,"t"),subdirf2(fileres,"t"));
    fprintf(fichtm,"\
    - Standard deviation of stable prevalences: <a href=\"%s\">%s</a> <br>\n",\
            subdirf2(fileres,"vpl"),subdirf2(fileres,"vpl"));
   
   /*  if(popforecast==1) fprintf(fichtm,"\n */
   /*  - Prevalences forecasting: <a href=\"f%s\">f%s</a> <br>\n */
   /*  - Population forecasting (if popforecast=1): <a href=\"pop%s\">pop%s</a> <br>\n */
   /*      <br>",fileres,fileres,fileres,fileres); */
   /*  else  */
   /*    fprintf(fichtm,"\n No population forecast: popforecast = %d (instead of 1) or stepm = %d (instead of 1) or model=%s (instead of .)<br><br></li>\n",popforecast, stepm, model); */
    fflush(fichtm);
    fprintf(fichtm," <ul><li><b>Graphs</b></li><p>");
   
    m=cptcoveff;
    if (cptcovn < 1) {m=1;ncodemax[1]=1;}
   
    jj1=0;
    for(k1=1; k1<=m;k1++){
      for(i1=1; i1<=ncodemax[k1];i1++){
        jj1++;
        if (cptcovn > 0) {
          fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");
          for (cpt=1; cpt<=cptcoveff;cpt++) 
            fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtab[jj1][cpt]]);
          fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");
        }
        for(cpt=1; cpt<=nlstate;cpt++) {
          fprintf(fichtm,"<br>- Observed (cross-sectional) and period (incidence based) \
   prevalence (with 95%% confidence interval) in state (%d): %s%d%d.png <br>\
   <img src=\"%s%d%d.png\">",cpt,subdirf2(optionfilefiname,"v"),cpt,jj1,subdirf2(optionfilefiname,"v"),cpt,jj1);  
        }
        fprintf(fichtm,"\n<br>- Total life expectancy by age and \
   health expectancies in states (1) and (2): %s%d.png<br>\
   <img src=\"%s%d.png\">",subdirf2(optionfilefiname,"e"),jj1,subdirf2(optionfilefiname,"e"),jj1);
      } /* end i1 */
    }/* End k1 */
    fprintf(fichtm,"</ul>");
    fflush(fichtm);
   }
   
   /******************* Gnuplot file **************/
   void printinggnuplot(char fileres[], char optionfilefiname[], double ageminpar, double agemaxpar, double fage , char pathc[], double p[]){
   
     char dirfileres[132],optfileres[132];
     int m,cpt,k1,i,k,j,jk,k2,k3,ij,l;
     int ng;
   /*   if((ficgp=fopen(optionfilegnuplot,"a"))==NULL) { */
   /*     printf("Problem with file %s",optionfilegnuplot); */
   /*     fprintf(ficlog,"Problem with file %s",optionfilegnuplot); */
   /*   } */
   
     /*#ifdef windows */
     fprintf(ficgp,"cd \"%s\" \n",pathc);
       /*#endif */
     m=pow(2,cptcoveff);
   
     strcpy(dirfileres,optionfilefiname);
     strcpy(optfileres,"vpl");
    /* 1eme*/
     for (cpt=1; cpt<= nlstate ; cpt ++) {
      for (k1=1; k1<= m ; k1 ++) {
        fprintf(ficgp,"\nset out \"%s%d%d.png\" \n",subdirf2(optionfilefiname,"v"),cpt,k1);
        fprintf(ficgp,"\n#set out \"v%s%d%d.png\" \n",optionfilefiname,cpt,k1);
        fprintf(ficgp,"set xlabel \"Age\" \n\
   set ylabel \"Probability\" \n\
   set ter png small\n\
   set size 0.65,0.65\n\
   plot [%.f:%.f] \"%s\" every :::%d::%d u 1:2 \"\%%lf",ageminpar,fage,subdirf2(fileres,"vpl"),k1-1,k1-1);
   
        for (i=1; i<= nlstate ; i ++) {
          if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");
          else fprintf(ficgp," \%%*lf (\%%*lf)");
        }
        fprintf(ficgp,"\" t\"Stable prevalence\" w l 0,\"%s\" every :::%d::%d u 1:($2+1.96*$3) \"\%%lf",subdirf2(fileres,"vpl"),k1-1,k1-1);
        for (i=1; i<= nlstate ; i ++) {
          if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");
          else fprintf(ficgp," \%%*lf (\%%*lf)");
        } 
        fprintf(ficgp,"\" t\"95\%% CI\" w l 1,\"%s\" every :::%d::%d u 1:($2-1.96*$3) \"\%%lf",subdirf2(fileres,"vpl"),k1-1,k1-1); 
        for (i=1; i<= nlstate ; i ++) {
          if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");
          else fprintf(ficgp," \%%*lf (\%%*lf)");
        }  
        fprintf(ficgp,"\" t\"\" w l 1,\"%s\" every :::%d::%d u 1:($%d) t\"Observed prevalence \" w l 2",subdirf2(fileres,"p"),k1-1,k1-1,2+4*(cpt-1));
      }
     }
     /*2 eme*/
     
     for (k1=1; k1<= m ; k1 ++) { 
       fprintf(ficgp,"\nset out \"%s%d.png\" \n",subdirf2(optionfilefiname,"e"),k1);
       fprintf(ficgp,"set ylabel \"Years\" \nset ter png small\nset size 0.65,0.65\nplot [%.f:%.f] ",ageminpar,fage);
       
       for (i=1; i<= nlstate+1 ; i ++) {
         k=2*i;
         fprintf(ficgp,"\"%s\" every :::%d::%d u 1:2 \"\%%lf",subdirf2(fileres,"t"),k1-1,k1-1);
         for (j=1; j<= nlstate+1 ; j ++) {
           if (j==i) fprintf(ficgp," \%%lf (\%%lf)");
           else fprintf(ficgp," \%%*lf (\%%*lf)");
         }   
         if (i== 1) fprintf(ficgp,"\" t\"TLE\" w l ,");
         else fprintf(ficgp,"\" t\"LE in state (%d)\" w l ,",i-1);
         fprintf(ficgp,"\"%s\" every :::%d::%d u 1:($2-$3*2) \"\%%lf",subdirf2(fileres,"t"),k1-1,k1-1);
         for (j=1; j<= nlstate+1 ; j ++) {
           if (j==i) fprintf(ficgp," \%%lf (\%%lf)");
           else fprintf(ficgp," \%%*lf (\%%*lf)");
         }   
         fprintf(ficgp,"\" t\"\" w l 0,");
         fprintf(ficgp,"\"%s\" every :::%d::%d u 1:($2+$3*2) \"\%%lf",subdirf2(fileres,"t"),k1-1,k1-1);
         for (j=1; j<= nlstate+1 ; j ++) {
           if (j==i) fprintf(ficgp," \%%lf (\%%lf)");
           else fprintf(ficgp," \%%*lf (\%%*lf)");
         }   
         if (i== (nlstate+1)) fprintf(ficgp,"\" t\"\" w l 0");
         else fprintf(ficgp,"\" t\"\" w l 0,");
       }
     }
     
     /*3eme*/
     
     for (k1=1; k1<= m ; k1 ++) { 
       for (cpt=1; cpt<= nlstate ; cpt ++) {
         k=2+nlstate*(2*cpt-2);
         fprintf(ficgp,"\nset out \"%s%d%d.png\" \n",subdirf2(optionfilefiname,"exp"),cpt,k1);
         fprintf(ficgp,"set ter png small\n\
   set size 0.65,0.65\n\
   plot [%.f:%.f] \"%s\" every :::%d::%d u 1:%d t \"e%d1\" w l",ageminpar,fage,subdirf2(fileres,"e"),k1-1,k1-1,k,cpt);
         /*fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d-2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);
           for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");
           fprintf(ficgp,"\" t \"e%d1\" w l",cpt);
           fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d+2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);
           for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");
           fprintf(ficgp,"\" t \"e%d1\" w l",cpt);
           
         */
         for (i=1; i< nlstate ; i ++) {
           fprintf(ficgp," ,\"%s\" every :::%d::%d u 1:%d t \"e%d%d\" w l",subdirf2(fileres,"e"),k1-1,k1-1,k+2*i,cpt,i+1);
           
         } 
       }
     }
     
     /* CV preval stable (period) */
     for (k1=1; k1<= m ; k1 ++) { 
       for (cpt=1; cpt<=nlstate ; cpt ++) {
         k=3;
         fprintf(ficgp,"\nset out \"%s%d%d.png\" \n",subdirf2(optionfilefiname,"p"),cpt,k1);
         fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \n\
   set ter png small\nset size 0.65,0.65\n\
   unset log y\n\
   plot [%.f:%.f] \"%s\" u ($1==%d ? ($3):1/0):($%d/($%d",ageminpar,agemaxpar,subdirf2(fileres,"pij"),k1,k+cpt+1,k+1);
         
         for (i=1; i< nlstate ; i ++)
           fprintf(ficgp,"+$%d",k+i+1);
         fprintf(ficgp,")) t\"prev(%d,%d)\" w l",cpt,cpt+1);
         
         l=3+(nlstate+ndeath)*cpt;
         fprintf(ficgp,",\"%s\" u ($1==%d ? ($3):1/0):($%d/($%d",subdirf2(fileres,"pij"),k1,l+cpt+1,l+1);
         for (i=1; i< nlstate ; i ++) {
           l=3+(nlstate+ndeath)*cpt;
           fprintf(ficgp,"+$%d",l+i+1);
         }
         fprintf(ficgp,")) t\"prev(%d,%d)\" w l\n",cpt+1,cpt+1);   
       } 
     }  
     
     /* proba elementaires */
     for(i=1,jk=1; i <=nlstate; i++){
       for(k=1; k <=(nlstate+ndeath); k++){
         if (k != i) {
           for(j=1; j <=ncovmodel; j++){
             fprintf(ficgp,"p%d=%f ",jk,p[jk]);
             jk++; 
             fprintf(ficgp,"\n");
           }
         }
       }
      }
   
      for(ng=1; ng<=2;ng++){ /* Number of graphics: first is probabilities second is incidence per year*/
        for(jk=1; jk <=m; jk++) {
          fprintf(ficgp,"\nset out \"%s%d%d.png\" \n",subdirf2(optionfilefiname,"pe"),jk,ng); 
          if (ng==2)
            fprintf(ficgp,"\nset ylabel \"Quasi-incidence per year\"\n");
          else
            fprintf(ficgp,"\nset title \"Probability\"\n");
          fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65\nset log y\nplot  [%.f:%.f] ",ageminpar,agemaxpar);
          i=1;
          for(k2=1; k2<=nlstate; k2++) {
            k3=i;
            for(k=1; k<=(nlstate+ndeath); k++) {
              if (k != k2){
                if(ng==2)
                  fprintf(ficgp," %f*exp(p%d+p%d*x",YEARM/stepm,i,i+1);
                else
                  fprintf(ficgp," exp(p%d+p%d*x",i,i+1);
                ij=1;
                for(j=3; j <=ncovmodel; j++) {
                  if(((j-2)==Tage[ij]) &&(ij <=cptcovage)) {
                    fprintf(ficgp,"+p%d*%d*x",i+j-1,nbcode[Tvar[j-2]][codtab[jk][Tvar[j-2]]]);
                    ij++;
                  }
                  else
                    fprintf(ficgp,"+p%d*%d",i+j-1,nbcode[Tvar[j-2]][codtab[jk][j-2]]);
                }
                fprintf(ficgp,")/(1");
                
                for(k1=1; k1 <=nlstate; k1++){   
                  fprintf(ficgp,"+exp(p%d+p%d*x",k3+(k1-1)*ncovmodel,k3+(k1-1)*ncovmodel+1);
                  ij=1;
                  for(j=3; j <=ncovmodel; j++){
                    if(((j-2)==Tage[ij]) &&(ij <=cptcovage)) {
                      fprintf(ficgp,"+p%d*%d*x",k3+(k1-1)*ncovmodel+1+j-2,nbcode[Tvar[j-2]][codtab[jk][Tvar[j-2]]]);
                      ij++;
                    }
                    else
                      fprintf(ficgp,"+p%d*%d",k3+(k1-1)*ncovmodel+1+j-2,nbcode[Tvar[j-2]][codtab[jk][j-2]]);
                  }
                  fprintf(ficgp,")");
                }
                fprintf(ficgp,") t \"p%d%d\" ", k2,k);
                if ((k+k2)!= (nlstate*2+ndeath)) fprintf(ficgp,",");
                i=i+ncovmodel;
              }
            } /* end k */
          } /* end k2 */
        } /* end jk */
      } /* end ng */
      fflush(ficgp); 
   }  /* end gnuplot */
   
   
   /*************** Moving average **************/
   int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav){
   
     int i, cpt, cptcod;
     int modcovmax =1;
     int mobilavrange, mob;
     double age;
   
     modcovmax=2*cptcoveff;/* Max number of modalities. We suppose 
                              a covariate has 2 modalities */
     if (cptcovn<1) modcovmax=1; /* At least 1 pass */
   
     if(mobilav==1||mobilav ==3 ||mobilav==5 ||mobilav== 7){
       if(mobilav==1) mobilavrange=5; /* default */
       else mobilavrange=mobilav;
       for (age=bage; age<=fage; age++)
         for (i=1; i<=nlstate;i++)
           for (cptcod=1;cptcod<=modcovmax;cptcod++)
             mobaverage[(int)age][i][cptcod]=probs[(int)age][i][cptcod];
       /* We keep the original values on the extreme ages bage, fage and for 
          fage+1 and bage-1 we use a 3 terms moving average; for fage+2 bage+2
          we use a 5 terms etc. until the borders are no more concerned. 
       */ 
       for (mob=3;mob <=mobilavrange;mob=mob+2){
         for (age=bage+(mob-1)/2; age<=fage-(mob-1)/2; age++){
           for (i=1; i<=nlstate;i++){
             for (cptcod=1;cptcod<=modcovmax;cptcod++){
               mobaverage[(int)age][i][cptcod] =probs[(int)age][i][cptcod];
                 for (cpt=1;cpt<=(mob-1)/2;cpt++){
                   mobaverage[(int)age][i][cptcod] +=probs[(int)age-cpt][i][cptcod];
                   mobaverage[(int)age][i][cptcod] +=probs[(int)age+cpt][i][cptcod];
                 }
               mobaverage[(int)age][i][cptcod]=mobaverage[(int)age][i][cptcod]/mob;
             }
           }
         }/* end age */
       }/* end mob */
     }else return -1;
     return 0;
   }/* End movingaverage */
   
   
   /************** Forecasting ******************/
   prevforecast(char fileres[], double anproj1, double mproj1, double jproj1, double ageminpar, double agemax, double dateprev1, double dateprev2, int mobilav, double bage, double fage, int firstpass, int lastpass, double anproj2, double p[], int cptcoveff){
     /* proj1, year, month, day of starting projection 
        agemin, agemax range of age
        dateprev1 dateprev2 range of dates during which prevalence is computed
        anproj2 year of en of projection (same day and month as proj1).
     */
     int yearp, stepsize, hstepm, nhstepm, j, k, c, cptcod, i, h, i1;
     int *popage;
     double agec; /* generic age */
     double agelim, ppij, yp,yp1,yp2,jprojmean,mprojmean,anprojmean;
     double *popeffectif,*popcount;
     double ***p3mat;
     double ***mobaverage;
     char fileresf[FILENAMELENGTH];
   
     agelim=AGESUP;
     prevalence(probs, ageminpar, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass);
    
     strcpy(fileresf,"f"); 
     strcat(fileresf,fileres);
     if((ficresf=fopen(fileresf,"w"))==NULL) {
       printf("Problem with forecast resultfile: %s\n", fileresf);
       fprintf(ficlog,"Problem with forecast resultfile: %s\n", fileresf);
     }
     printf("Computing forecasting: result on file '%s' \n", fileresf);
     fprintf(ficlog,"Computing forecasting: result on file '%s' \n", fileresf);
   
     if (cptcoveff==0) ncodemax[cptcoveff]=1;
   
     if (mobilav!=0) {
       mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
       if (movingaverage(probs, ageminpar, fage, mobaverage,mobilav)!=0){
         fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
         printf(" Error in movingaverage mobilav=%d\n",mobilav);
       }
     }
   
     stepsize=(int) (stepm+YEARM-1)/YEARM;
     if (stepm<=12) stepsize=1;
     if(estepm < stepm){
       printf ("Problem %d lower than %d\n",estepm, stepm);
     }
     else  hstepm=estepm;   
   
     hstepm=hstepm/stepm; 
     yp1=modf(dateintmean,&yp);/* extracts integral of datemean in yp  and
                                  fractional in yp1 */
     anprojmean=yp;
     yp2=modf((yp1*12),&yp);
     mprojmean=yp;
     yp1=modf((yp2*30.5),&yp);
     jprojmean=yp;
     if(jprojmean==0) jprojmean=1;
     if(mprojmean==0) jprojmean=1;
   
     i1=cptcoveff;
     if (cptcovn < 1){i1=1;}
     
     fprintf(ficresf,"# Mean day of interviews %.lf/%.lf/%.lf (%.2f) between %.2f and %.2f \n",jprojmean,mprojmean,anprojmean,dateintmean,dateprev1,dateprev2); 
     
     fprintf(ficresf,"#****** Routine prevforecast **\n");
   
   /*            if (h==(int)(YEARM*yearp)){ */
     for(cptcov=1, k=0;cptcov<=i1;cptcov++){
       for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){
         k=k+1;
         fprintf(ficresf,"\n#******");
         for(j=1;j<=cptcoveff;j++) {
           fprintf(ficresf," V%d=%d, hpijx=probability over h years, hp.jx is weighted by observed prev ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
         }
         fprintf(ficresf,"******\n");
         fprintf(ficresf,"# Covariate valuofcovar yearproj age");
         for(j=1; j<=nlstate+ndeath;j++){ 
           for(i=1; i<=nlstate;i++)              
             fprintf(ficresf," p%d%d",i,j);
           fprintf(ficresf," p.%d",j);
         }
         for (yearp=0; yearp<=(anproj2-anproj1);yearp +=stepsize) { 
           fprintf(ficresf,"\n");
           fprintf(ficresf,"\n# Forecasting at date %.lf/%.lf/%.lf ",jproj1,mproj1,anproj1+yearp);   
   
           for (agec=fage; agec>=(ageminpar-1); agec--){ 
             nhstepm=(int) rint((agelim-agec)*YEARM/stepm); 
             nhstepm = nhstepm/hstepm; 
             p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
             oldm=oldms;savm=savms;
             hpxij(p3mat,nhstepm,agec,hstepm,p,nlstate,stepm,oldm,savm, k);  
           
             for (h=0; h<=nhstepm; h++){
               if (h*hstepm/YEARM*stepm ==yearp) {
                 fprintf(ficresf,"\n");
                 for(j=1;j<=cptcoveff;j++) 
                   fprintf(ficresf,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
                 fprintf(ficresf,"%.f %.f ",anproj1+yearp,agec+h*hstepm/YEARM*stepm);
               } 
               for(j=1; j<=nlstate+ndeath;j++) {
                 ppij=0.;
                 for(i=1; i<=nlstate;i++) {
                   if (mobilav==1) 
                     ppij=ppij+p3mat[i][j][h]*mobaverage[(int)agec][i][cptcod];
                   else {
                     ppij=ppij+p3mat[i][j][h]*probs[(int)(agec)][i][cptcod];
                   }
                   if (h*hstepm/YEARM*stepm== yearp) {
                     fprintf(ficresf," %.3f", p3mat[i][j][h]);
                   }
                 } /* end i */
                 if (h*hstepm/YEARM*stepm==yearp) {
                   fprintf(ficresf," %.3f", ppij);
                 }
               }/* end j */
             } /* end h */
             free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
           } /* end agec */
         } /* end yearp */
       } /* end cptcod */
     } /* end  cptcov */
          
     if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
   
     fclose(ficresf);
   }
   
   /************** Forecasting *****not tested NB*************/
   populforecast(char fileres[], double anpyram,double mpyram,double jpyram,double ageminpar, double agemax,double dateprev1, double dateprev2, int mobilav, double agedeb, double fage, int popforecast, char popfile[], double anpyram1,double p[], int i2){
     
     int cpt, stepsize, hstepm, nhstepm, j,k,c, cptcod, i,h;
     int *popage;
     double calagedatem, agelim, kk1, kk2;
     double *popeffectif,*popcount;
     double ***p3mat,***tabpop,***tabpopprev;
     double ***mobaverage;
     char filerespop[FILENAMELENGTH];
   
     tabpop= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
     tabpopprev= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
     agelim=AGESUP;
     calagedatem=(anpyram+mpyram/12.+jpyram/365.-dateintmean)*YEARM;
     
     prevalence(probs, ageminpar, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass);
     
     
     strcpy(filerespop,"pop"); 
     strcat(filerespop,fileres);
     if((ficrespop=fopen(filerespop,"w"))==NULL) {
       printf("Problem with forecast resultfile: %s\n", filerespop);
       fprintf(ficlog,"Problem with forecast resultfile: %s\n", filerespop);
     }
     printf("Computing forecasting: result on file '%s' \n", filerespop);
     fprintf(ficlog,"Computing forecasting: result on file '%s' \n", filerespop);
   
     if (cptcoveff==0) ncodemax[cptcoveff]=1;
   
     if (mobilav!=0) {
       mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
       if (movingaverage(probs, ageminpar, fage, mobaverage,mobilav)!=0){
         fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
         printf(" Error in movingaverage mobilav=%d\n",mobilav);
       }
     }
   
     stepsize=(int) (stepm+YEARM-1)/YEARM;
     if (stepm<=12) stepsize=1;
     
     agelim=AGESUP;
     
     hstepm=1;
     hstepm=hstepm/stepm; 
     
     if (popforecast==1) {
       if((ficpop=fopen(popfile,"r"))==NULL) {
         printf("Problem with population file : %s\n",popfile);exit(0);
         fprintf(ficlog,"Problem with population file : %s\n",popfile);exit(0);
       } 
       popage=ivector(0,AGESUP);
       popeffectif=vector(0,AGESUP);
       popcount=vector(0,AGESUP);
       
       i=1;   
       while ((c=fscanf(ficpop,"%d %lf\n",&popage[i],&popcount[i])) != EOF) i=i+1;
      
       imx=i;
       for (i=1; i<imx;i++) popeffectif[popage[i]]=popcount[i];
     }
   
     for(cptcov=1,k=0;cptcov<=i2;cptcov++){
      for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){
         k=k+1;
         fprintf(ficrespop,"\n#******");
         for(j=1;j<=cptcoveff;j++) {
           fprintf(ficrespop," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
         }
         fprintf(ficrespop,"******\n");
         fprintf(ficrespop,"# Age");
         for(j=1; j<=nlstate+ndeath;j++) fprintf(ficrespop," P.%d",j);
         if (popforecast==1)  fprintf(ficrespop," [Population]");
         
         for (cpt=0; cpt<=0;cpt++) { 
           fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);   
           
           for (agedeb=(fage-((int)calagedatem %12/12.)); agedeb>=(ageminpar-((int)calagedatem %12)/12.); agedeb--){ 
             nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); 
             nhstepm = nhstepm/hstepm; 
             
             p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
             oldm=oldms;savm=savms;
             hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);  
           
             for (h=0; h<=nhstepm; h++){
               if (h==(int) (calagedatem+YEARM*cpt)) {
                 fprintf(ficrespop,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm);
               } 
               for(j=1; j<=nlstate+ndeath;j++) {
                 kk1=0.;kk2=0;
                 for(i=1; i<=nlstate;i++) {              
                   if (mobilav==1) 
                     kk1=kk1+p3mat[i][j][h]*mobaverage[(int)agedeb+1][i][cptcod];
                   else {
                     kk1=kk1+p3mat[i][j][h]*probs[(int)(agedeb+1)][i][cptcod];
                   }
                 }
                 if (h==(int)(calagedatem+12*cpt)){
                   tabpop[(int)(agedeb)][j][cptcod]=kk1;
                     /*fprintf(ficrespop," %.3f", kk1);
                       if (popforecast==1) fprintf(ficrespop," [%.f]", kk1*popeffectif[(int)agedeb+1]);*/
                 }
               }
               for(i=1; i<=nlstate;i++){
                 kk1=0.;
                   for(j=1; j<=nlstate;j++){
                     kk1= kk1+tabpop[(int)(agedeb)][j][cptcod]; 
                   }
                     tabpopprev[(int)(agedeb)][i][cptcod]=tabpop[(int)(agedeb)][i][cptcod]/kk1*popeffectif[(int)(agedeb+(calagedatem+12*cpt)*hstepm/YEARM*stepm-1)];
               }
   
               if (h==(int)(calagedatem+12*cpt)) for(j=1; j<=nlstate;j++) 
                 fprintf(ficrespop," %15.2f",tabpopprev[(int)(agedeb+1)][j][cptcod]);
             }
             free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
           }
         }
    
     /******/
   
         for (cpt=1; cpt<=(anpyram1-anpyram);cpt++) { 
           fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);   
           for (agedeb=(fage-((int)calagedatem %12/12.)); agedeb>=(ageminpar-((int)calagedatem %12)/12.); agedeb--){ 
             nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); 
             nhstepm = nhstepm/hstepm; 
             
             p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
             oldm=oldms;savm=savms;
             hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);  
             for (h=0; h<=nhstepm; h++){
               if (h==(int) (calagedatem+YEARM*cpt)) {
                 fprintf(ficresf,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm);
               } 
               for(j=1; j<=nlstate+ndeath;j++) {
                 kk1=0.;kk2=0;
                 for(i=1; i<=nlstate;i++) {              
                   kk1=kk1+p3mat[i][j][h]*tabpopprev[(int)agedeb+1][i][cptcod];    
                 }
                 if (h==(int)(calagedatem+12*cpt)) fprintf(ficresf," %15.2f", kk1);        
               }
             }
             free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
           }
         }
      } 
     }
    
     if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
   
     if (popforecast==1) {
       free_ivector(popage,0,AGESUP);
       free_vector(popeffectif,0,AGESUP);
       free_vector(popcount,0,AGESUP);
     }
     free_ma3x(tabpop,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
     free_ma3x(tabpopprev,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
     fclose(ficrespop);
   } /* End of popforecast */
   
   int fileappend(FILE *fichier, char *optionfich)
   {
     if((fichier=fopen(optionfich,"a"))==NULL) {
       printf("Problem with file: %s\n", optionfich);
       fprintf(ficlog,"Problem with file: %s\n", optionfich);
       return (0);
     }
     fflush(fichier);
     return (1);
   }
   
   
   /**************** function prwizard **********************/
   void prwizard(int ncovmodel, int nlstate, int ndeath,  char model[], FILE *ficparo)
   {
   
     /* Wizard to print covariance matrix template */
   
     char ca[32], cb[32], cc[32];
     int i,j, k, l, li, lj, lk, ll, jj, npar, itimes;
     int numlinepar;
   
     printf("# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
     fprintf(ficparo,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
     for(i=1; i <=nlstate; i++){
       jj=0;
       for(j=1; j <=nlstate+ndeath; j++){
         if(j==i) continue;
         jj++;
         /*ca[0]= k+'a'-1;ca[1]='\0';*/
         printf("%1d%1d",i,j);
         fprintf(ficparo,"%1d%1d",i,j);
         for(k=1; k<=ncovmodel;k++){
           /*        printf(" %lf",param[i][j][k]); */
           /*        fprintf(ficparo," %lf",param[i][j][k]); */
           printf(" 0.");
           fprintf(ficparo," 0.");
         }
         printf("\n");
         fprintf(ficparo,"\n");
       }
     }
     printf("# Scales (for hessian or gradient estimation)\n");
     fprintf(ficparo,"# Scales (for hessian or gradient estimation)\n");
     npar= (nlstate+ndeath-1)*nlstate*ncovmodel; /* Number of parameters*/ 
     for(i=1; i <=nlstate; i++){
       jj=0;
       for(j=1; j <=nlstate+ndeath; j++){
         if(j==i) continue;
         jj++;
         fprintf(ficparo,"%1d%1d",i,j);
         printf("%1d%1d",i,j);
         fflush(stdout);
         for(k=1; k<=ncovmodel;k++){
           /*      printf(" %le",delti3[i][j][k]); */
           /*      fprintf(ficparo," %le",delti3[i][j][k]); */
           printf(" 0.");
           fprintf(ficparo," 0.");
         }
         numlinepar++;
         printf("\n");
         fprintf(ficparo,"\n");
       }
     }
     printf("# Covariance matrix\n");
   /* # 121 Var(a12)\n\ */
   /* # 122 Cov(b12,a12) Var(b12)\n\ */
   /* # 131 Cov(a13,a12) Cov(a13,b12, Var(a13)\n\ */
   /* # 132 Cov(b13,a12) Cov(b13,b12, Cov(b13,a13) Var(b13)\n\ */
   /* # 212 Cov(a21,a12) Cov(a21,b12, Cov(a21,a13) Cov(a21,b13) Var(a21)\n\ */
   /* # 212 Cov(b21,a12) Cov(b21,b12, Cov(b21,a13) Cov(b21,b13) Cov(b21,a21) Var(b21)\n\ */
   /* # 232 Cov(a23,a12) Cov(a23,b12, Cov(a23,a13) Cov(a23,b13) Cov(a23,a21) Cov(a23,b21) Var(a23)\n\ */
   /* # 232 Cov(b23,a12) Cov(b23,b12) ... Var (b23)\n" */
     fflush(stdout);
     fprintf(ficparo,"# Covariance matrix\n");
     /* # 121 Var(a12)\n\ */
     /* # 122 Cov(b12,a12) Var(b12)\n\ */
     /* #   ...\n\ */
     /* # 232 Cov(b23,a12)  Cov(b23,b12) ... Var (b23)\n" */
     
     for(itimes=1;itimes<=2;itimes++){
       jj=0;
       for(i=1; i <=nlstate; i++){
         for(j=1; j <=nlstate+ndeath; j++){
           if(j==i) continue;
           for(k=1; k<=ncovmodel;k++){
             jj++;
             ca[0]= k+'a'-1;ca[1]='\0';
             if(itimes==1){
               printf("#%1d%1d%d",i,j,k);
               fprintf(ficparo,"#%1d%1d%d",i,j,k);
             }else{
               printf("%1d%1d%d",i,j,k);
               fprintf(ficparo,"%1d%1d%d",i,j,k);
               /*  printf(" %.5le",matcov[i][j]); */
             }
             ll=0;
             for(li=1;li <=nlstate; li++){
               for(lj=1;lj <=nlstate+ndeath; lj++){
                 if(lj==li) continue;
                 for(lk=1;lk<=ncovmodel;lk++){
                   ll++;
                   if(ll<=jj){
                     cb[0]= lk +'a'-1;cb[1]='\0';
                     if(ll<jj){
                       if(itimes==1){
                         printf(" Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                         fprintf(ficparo," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                       }else{
                         printf(" 0.");
                         fprintf(ficparo," 0.");
                       }
                     }else{
                       if(itimes==1){
                         printf(" Var(%s%1d%1d)",ca,i,j);
                         fprintf(ficparo," Var(%s%1d%1d)",ca,i,j);
                       }else{
                         printf(" 0.");
                         fprintf(ficparo," 0.");
                       }
                     }
                   }
                 } /* end lk */
               } /* end lj */
             } /* end li */
             printf("\n");
             fprintf(ficparo,"\n");
             numlinepar++;
           } /* end k*/
         } /*end j */
       } /* end i */
     } /* end itimes */
   
   } /* end of prwizard */
   /******************* Gompertz Likelihood ******************************/
   double gompertz(double x[])
   { 
     double A,B,L=0.0,sump=0.,num=0.;
     int i,n=0; /* n is the size of the sample */
     for (i=0;i<=imx-1 ; i++) {
       sump=sump+weight[i];
       /*    sump=sump+1;*/
       num=num+1;
     }
    
    
     /* for (i=0; i<=imx; i++) 
        if (wav[i]>0) printf("i=%d ageex=%lf agecens=%lf agedc=%lf cens=%d %d\n" ,i,ageexmed[i],agecens[i],agedc[i],cens[i],wav[i]);*/
   
     for (i=1;i<=imx ; i++)
       {
         if (cens[i]==1 & wav[i]>1)
           A=-x[1]/(x[2])*(exp(x[2]*(agecens[i]-agegomp))-exp(x[2]*(ageexmed[i]-agegomp)));
         
         if (cens[i]==0 & wav[i]>1)
           A=-x[1]/(x[2])*(exp(x[2]*(agedc[i]-agegomp))-exp(x[2]*(ageexmed[i]-agegomp)))
                +log(x[1]/YEARM)+x[2]*(agedc[i]-agegomp)+log(YEARM);  
         
         if (wav[i]>1 & agecens[i]>15) {
           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;
   }
   
   /******************* 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){
     int i;
   
     fprintf(fichtm,"<ul><li><h4>Result files </h4>\n Force of mortality. Parameters of the Gompertz fit (with confidence interval in brackets):<br>");
     fprintf(fichtm,"  mu(age) =%lf*exp(%lf*(age-%d)) per year<br><br>",p[1],p[2],agegomp);
     for (i=1;i<=2;i++) 
       fprintf(fichtm," p[%d] = %lf [%f ; %f]<br>\n",i,p[i],p[i]-2*sqrt(matcov[i][i]),p[i]+2*sqrt(matcov[i][i]));
     fprintf(fichtm,"<br><br><img src=\"graphmort.png\">");
     fprintf(fichtm,"</ul>");
     fflush(fichtm);
   }
   
   /******************* Gnuplot file **************/
   void printinggnuplotmort(char fileres[], char optionfilefiname[], double ageminpar, double agemaxpar, double fage , char pathc[], double p[]){
   
     char dirfileres[132],optfileres[132];
     int m,cpt,k1,i,k,j,jk,k2,k3,ij,l;
     int ng;
   
   
     /*#ifdef windows */
     fprintf(ficgp,"cd \"%s\" \n",pathc);
       /*#endif */
   
   
     strcpy(dirfileres,optionfilefiname);
     strcpy(optfileres,"vpl");
     fprintf(ficgp,"set out \"graphmort.png\"\n "); 
     fprintf(ficgp,"set xlabel \"Age\"\n set ylabel \"Force of mortality (per year)\" \n "); 
     fprintf(ficgp, "set ter png small\n set log y\n"); 
     fprintf(ficgp, "set size 0.65,0.65\n");
     fprintf(ficgp,"plot [%d:100] %lf*exp(%lf*(x-%d))",agegomp,p[1],p[2],agegomp);
   
   } 
   
   
   
   
   /***********************************************/
   /**************** Main Program *****************/
   /***********************************************/
   
   int main(int argc, char *argv[])
   {
     int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav);
     int i,j, k, n=MAXN,iter,m,size=100,cptcode, cptcod;
     int jj, ll, li, lj, lk, imk;
     int numlinepar=0; /* Current linenumber of parameter file */
     int itimes;
     int NDIM=2;
   
     char ca[32], cb[32], cc[32];
     /*  FILE *fichtm; *//* Html File */
     /* FILE *ficgp;*/ /*Gnuplot File */
     double agedeb, agefin,hf;
     double ageminpar=1.e20,agemin=1.e20, agemaxpar=-1.e20, agemax=-1.e20;
   
     double fret;
     double **xi,tmp,delta;
   
     double dum; /* Dummy variable */
     double ***p3mat;
     double ***mobaverage;
     int *indx;
     char line[MAXLINE], linepar[MAXLINE];
     char path[MAXLINE],pathc[MAXLINE],pathcd[MAXLINE],pathtot[MAXLINE],model[MAXLINE];
     char pathr[MAXLINE], pathimach[MAXLINE]; 
     int firstobs=1, lastobs=10;
     int sdeb, sfin; /* Status at beginning and end */
     int c,  h , cpt,l;
     int ju,jl, mi;
     int i1,j1, k1,k2,k3,jk,aa,bb, stepsize, ij;
     int jnais,jdc,jint4,jint1,jint2,jint3,**outcome,*tab; 
     int mobilavproj=0 , prevfcast=0 ; /* moving average of prev, If prevfcast=1 prevalence projection */
     int mobilav=0,popforecast=0;
     int hstepm, nhstepm;
     double jprev1=1, mprev1=1,anprev1=2000,jprev2=1, mprev2=1,anprev2=2000;
     double jpyram=1, mpyram=1,anpyram=2000,jpyram1=1, mpyram1=1,anpyram1=2000;
   
     double bage, fage, age, agelim, agebase;
     double ftolpl=FTOL;
     double **prlim;
     double *severity;
     double ***param; /* Matrix of parameters */
     double  *p;
     double **matcov; /* Matrix of covariance */
     double ***delti3; /* Scale */
     double *delti; /* Scale */
     double ***eij, ***vareij;
     double **varpl; /* Variances of prevalence limits by age */
     double *epj, vepp;
     double kk1, kk2;
     double dateprev1, dateprev2,jproj1=1,mproj1=1,anproj1=2000,jproj2=1,mproj2=1,anproj2=2000;
     double **ximort;
     char *alph[]={"a","a","b","c","d","e"}, str[4];
     int *dcwave;
   
     char z[1]="c", occ;
   
     char stra[80], strb[80], strc[80], strd[80],stre[80],modelsav[80];
     char strstart[80], *strt, strtend[80];
     char *stratrunc;
     int lstra;
   
     long total_usecs;
    
   /*   setlocale (LC_ALL, ""); */
   /*   bindtextdomain (PACKAGE, LOCALEDIR); */
   /*   textdomain (PACKAGE); */
   /*   setlocale (LC_CTYPE, ""); */
   /*   setlocale (LC_MESSAGES, ""); */
   
     /*   gettimeofday(&start_time, (struct timezone*)0); */ /* at first time */
     (void) gettimeofday(&start_time,&tzp);
     curr_time=start_time;
     tm = *localtime(&start_time.tv_sec);
     tmg = *gmtime(&start_time.tv_sec);
     strcpy(strstart,asctime(&tm));
   
   /*  printf("Localtime (at start)=%s",strstart); */
   /*  tp.tv_sec = tp.tv_sec +86400; */
   /*  tm = *localtime(&start_time.tv_sec); */
   /*   tmg.tm_year=tmg.tm_year +dsign*dyear; */
   /*   tmg.tm_mon=tmg.tm_mon +dsign*dmonth; */
   /*   tmg.tm_hour=tmg.tm_hour + 1; */
   /*   tp.tv_sec = mktime(&tmg); */
   /*   strt=asctime(&tmg); */
   /*   printf("Time(after) =%s",strstart);  */
   /*  (void) time (&time_value);
   *  printf("time=%d,t-=%d\n",time_value,time_value-86400);
   *  tm = *localtime(&time_value);
   *  strstart=asctime(&tm);
   *  printf("tim_value=%d,asctime=%s\n",time_value,strstart); 
   */
   
     nberr=0; /* Number of errors and warnings */
     nbwarn=0;
     getcwd(pathcd, size);
   
     printf("\n%s\n%s",version,fullversion);
     if(argc <=1){
       printf("\nEnter the parameter file name: ");
       scanf("%s",pathtot);
     }
     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],pathimach,optionfile,optionfilext,optionfilefiname);
    /*   strcpy(pathimach,argv[0]); */
     split(pathtot,path,optionfile,optionfilext,optionfilefiname);
     printf("pathimach=%s, pathtot=%s,\npath=%s,\noptionfile=%s \noptionfilext=%s \noptionfilefiname=%s\n",pathimach,pathtot,path,optionfile,optionfilext,optionfilefiname);
     chdir(path);
     strcpy(command,"mkdir ");
     strcat(command,optionfilefiname);
     if((outcmd=system(command)) != 0){
       printf("Problem creating directory or it already exists %s%s, err=%d\n",path,optionfilefiname,outcmd);
       /* fprintf(ficlog,"Problem creating directory %s%s\n",path,optionfilefiname); */
       /* fclose(ficlog); */
   /*     exit(1); */
     }
   /*   if((imk=mkdir(optionfilefiname))<0){ */
   /*     perror("mkdir"); */
   /*   } */
   
     /*-------- arguments in the command line --------*/
   
     /* Log file */
     strcat(filelog, optionfilefiname);
     strcat(filelog,".log");    /* */
     if((ficlog=fopen(filelog,"w"))==NULL)    {
       printf("Problem with logfile %s\n",filelog);
       goto end;
     }
     fprintf(ficlog,"Log filename:%s\n",filelog);
     fprintf(ficlog,"\n%s\n%s",version,fullversion);
     fprintf(ficlog,"\nEnter the parameter file name: \n");
     fprintf(ficlog,"pathimach=%s\npathtot=%s\n\
    path=%s \n\
    optionfile=%s\n\
    optionfilext=%s\n\
    optionfilefiname=%s\n",pathimach,pathtot,path,optionfile,optionfilext,optionfilefiname);
   
     printf("Local time (at start):%s",strstart);
     fprintf(ficlog,"Local time (at start): %s",strstart);
     fflush(ficlog);
   /*   (void) gettimeofday(&curr_time,&tzp); */
   /*   printf("Elapsed time %d\n", asc_diff_time(curr_time.tv_sec-start_time.tv_sec,tmpout)); */
   
     /* */
     strcpy(fileres,"r");
     strcat(fileres, optionfilefiname);
     strcat(fileres,".txt");    /* Other files have txt extension */
   
     /*---------arguments file --------*/
   
     if((ficpar=fopen(optionfile,"r"))==NULL)    {
       printf("Problem with optionfile %s\n",optionfile);
       fprintf(ficlog,"Problem with optionfile %s\n",optionfile);
       fflush(ficlog);
       goto end;
     }
   
   
   
     strcpy(filereso,"o");
     strcat(filereso,fileres);
     if((ficparo=fopen(filereso,"w"))==NULL) { /* opened on subdirectory */
       printf("Problem with Output resultfile: %s\n", filereso);
       fprintf(ficlog,"Problem with Output resultfile: %s\n", filereso);
       fflush(ficlog);
       goto end;
     }
   
     /* Reads comments: lines beginning with '#' */
     numlinepar=0;
     while((c=getc(ficpar))=='#' && c!= EOF){
       ungetc(c,ficpar);
       fgets(line, MAXLINE, ficpar);
       numlinepar++;
       puts(line);
       fputs(line,ficparo);
       fputs(line,ficlog);
     }
     ungetc(c,ficpar);
   
     fscanf(ficpar,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%lf stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d model=%s\n",title, datafile, &lastobs, &firstpass,&lastpass,&ftol, &stepm, &ncovcol, &nlstate,&ndeath, &maxwav, &mle, &weightopt,model);
     numlinepar++;
     printf("title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\nmodel=%s\n", title, datafile, lastobs, firstpass,lastpass,ftol, stepm, ncovcol, nlstate,ndeath, maxwav, mle, weightopt,model);
     fprintf(ficparo,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\nmodel=%s\n", title, datafile, lastobs, firstpass,lastpass,ftol,stepm,ncovcol,nlstate,ndeath,maxwav, mle, weightopt,model);
     fprintf(ficlog,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\nmodel=%s\n", title, datafile, lastobs, firstpass,lastpass,ftol,stepm,ncovcol,nlstate,ndeath,maxwav, mle, weightopt,model);
     fflush(ficlog);
     while((c=getc(ficpar))=='#' && c!= EOF){
       ungetc(c,ficpar);
       fgets(line, MAXLINE, ficpar);
       numlinepar++;
       puts(line);
       fputs(line,ficparo);
       fputs(line,ficlog);
     }
     ungetc(c,ficpar);
   
      
     covar=matrix(0,NCOVMAX,1,n); 
     cptcovn=0; /*Number of covariates, i.e. number of '+' in model statement*/
     if (strlen(model)>1) cptcovn=nbocc(model,'+')+1;
   
     ncovmodel=2+cptcovn; /*Number of variables = cptcovn + intercept + age */
     nvar=ncovmodel-1; /* Suppressing age as a basic covariate */
     npar= (nlstate+ndeath-1)*nlstate*ncovmodel; /* Number of parameters*/
   
     delti3= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
     delti=delti3[1][1];
     /*delti=vector(1,npar); *//* Scale of each paramater (output from hesscov)*/
     if(mle==-1){ /* Print a wizard for help writing covariance matrix */
       prwizard(ncovmodel, nlstate, ndeath, model, ficparo);
       printf(" You choose mle=-1, look at file %s for a template of covariance matrix \n",filereso);
       fprintf(ficlog," You choose mle=-1, look at file %s for a template of covariance matrix \n",filereso);
       free_ma3x(delti3,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel); 
       fclose (ficparo);
       fclose (ficlog);
       exit(0);
     }
     else if(mle==-3) {
       prwizard(ncovmodel, nlstate, ndeath, model, ficparo);
       printf(" You choose mle=-3, look at file %s for a template of covariance matrix \n",filereso);
       fprintf(ficlog," You choose mle=-3, look at file %s for a template of covariance matrix \n",filereso);
       param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
       matcov=matrix(1,npar,1,npar);
     }
     else{
       /* Read guess parameters */
       /* Reads comments: lines beginning with '#' */
       while((c=getc(ficpar))=='#' && c!= EOF){
         ungetc(c,ficpar);
         fgets(line, MAXLINE, ficpar);
         numlinepar++;
         puts(line);
         fputs(line,ficparo);
         fputs(line,ficlog);
       }
       ungetc(c,ficpar);
       
       param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
       for(i=1; i <=nlstate; i++){
         j=0;
         for(jj=1; jj <=nlstate+ndeath; jj++){
           if(jj==i) continue;
           j++;
           fscanf(ficpar,"%1d%1d",&i1,&j1);
           if ((i1 != i) && (j1 != j)){
             printf("Error in line parameters number %d, %1d%1d instead of %1d%1d \n",numlinepar, i,j, i1, j1);
             exit(1);
           }
           fprintf(ficparo,"%1d%1d",i1,j1);
           if(mle==1)
             printf("%1d%1d",i,j);
           fprintf(ficlog,"%1d%1d",i,j);
           for(k=1; k<=ncovmodel;k++){
             fscanf(ficpar," %lf",&param[i][j][k]);
             if(mle==1){
               printf(" %lf",param[i][j][k]);
               fprintf(ficlog," %lf",param[i][j][k]);
             }
             else
               fprintf(ficlog," %lf",param[i][j][k]);
             fprintf(ficparo," %lf",param[i][j][k]);
           }
           fscanf(ficpar,"\n");
           numlinepar++;
           if(mle==1)
             printf("\n");
           fprintf(ficlog,"\n");
           fprintf(ficparo,"\n");
         }
       }  
       fflush(ficlog);
   
   
       p=param[1][1];
       
       /* Reads comments: lines beginning with '#' */
       while((c=getc(ficpar))=='#' && c!= EOF){
         ungetc(c,ficpar);
         fgets(line, MAXLINE, ficpar);
         numlinepar++;
         puts(line);
         fputs(line,ficparo);
         fputs(line,ficlog);
       }
       ungetc(c,ficpar);
   
       for(i=1; i <=nlstate; i++){
         for(j=1; j <=nlstate+ndeath-1; j++){
           fscanf(ficpar,"%1d%1d",&i1,&j1);
           if ((i1-i)*(j1-j)!=0){
             printf("Error in line parameters number %d, %1d%1d instead of %1d%1d \n",numlinepar, i,j, i1, j1);
             exit(1);
           }
           printf("%1d%1d",i,j);
           fprintf(ficparo,"%1d%1d",i1,j1);
           fprintf(ficlog,"%1d%1d",i1,j1);
           for(k=1; k<=ncovmodel;k++){
             fscanf(ficpar,"%le",&delti3[i][j][k]);
             printf(" %le",delti3[i][j][k]);
             fprintf(ficparo," %le",delti3[i][j][k]);
             fprintf(ficlog," %le",delti3[i][j][k]);
           }
           fscanf(ficpar,"\n");
           numlinepar++;
           printf("\n");
           fprintf(ficparo,"\n");
           fprintf(ficlog,"\n");
         }
       }
       fflush(ficlog);
   
       delti=delti3[1][1];
   
   
       /* free_ma3x(delti3,1,nlstate,1,nlstate+ndeath-1,1,ncovmodel); */ /* Hasn't to to freed here otherwise delti is no more allocated */
     
       /* Reads comments: lines beginning with '#' */
       while((c=getc(ficpar))=='#' && c!= EOF){
         ungetc(c,ficpar);
         fgets(line, MAXLINE, ficpar);
         numlinepar++;
         puts(line);
         fputs(line,ficparo);
         fputs(line,ficlog);
       }
       ungetc(c,ficpar);
     
       matcov=matrix(1,npar,1,npar);
       for(i=1; i <=npar; i++){
         fscanf(ficpar,"%s",&str);
         if(mle==1)
           printf("%s",str);
         fprintf(ficlog,"%s",str);
         fprintf(ficparo,"%s",str);
         for(j=1; j <=i; j++){
           fscanf(ficpar," %le",&matcov[i][j]);
           if(mle==1){
             printf(" %.5le",matcov[i][j]);
           }
           fprintf(ficlog," %.5le",matcov[i][j]);
           fprintf(ficparo," %.5le",matcov[i][j]);
         }
         fscanf(ficpar,"\n");
         numlinepar++;
         if(mle==1)
           printf("\n");
         fprintf(ficlog,"\n");
         fprintf(ficparo,"\n");
       }
       for(i=1; i <=npar; i++)
         for(j=i+1;j<=npar;j++)
           matcov[i][j]=matcov[j][i];
       
       if(mle==1)
         printf("\n");
       fprintf(ficlog,"\n");
       
       fflush(ficlog);
       
       /*-------- Rewriting parameter file ----------*/
       strcpy(rfileres,"r");    /* "Rparameterfile */
       strcat(rfileres,optionfilefiname);    /* Parameter file first name*/
       strcat(rfileres,".");    /* */
       strcat(rfileres,optionfilext);    /* Other files have txt extension */
       if((ficres =fopen(rfileres,"w"))==NULL) {
         printf("Problem writing new parameter file: %s\n", fileres);goto end;
         fprintf(ficlog,"Problem writing new parameter file: %s\n", fileres);goto end;
       }
       fprintf(ficres,"#%s\n",version);
     }    /* End of mle != -3 */
   
     /*-------- data file ----------*/
     if((fic=fopen(datafile,"r"))==NULL)    {
       printf("Problem with datafile: %s\n", datafile);goto end;
       fprintf(ficlog,"Problem with datafile: %s\n", datafile);goto end;
     }
   
     n= lastobs;
     severity = vector(1,maxwav);
     outcome=imatrix(1,maxwav+1,1,n);
     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);
     tab=ivector(1,NCOVMAX);
     ncodemax=ivector(1,8);
   
     i=1;
     while (fgets(line, MAXLINE, fic) != NULL)    {
       if ((i >= firstobs) && (i <=lastobs)) {
         for(j=0; line[j] != '\n';j++){  /* Untabifies line */
           if(line[j] == '\t')
             line[j] = ' ';
         }
         for (j=maxwav;j>=1;j--){
           cutv(stra, strb,line,' '); s[j][i]=atoi(strb); 
           strcpy(line,stra);
           cutv(stra, strb,line,'/'); anint[j][i]=(double)(atoi(strb)); strcpy(line,stra);
           cutv(stra, strb,line,' '); mint[j][i]=(double)(atoi(strb)); strcpy(line,stra);
         }
           
         cutv(stra, strb,line,'/'); andc[i]=(double)(atoi(strb)); strcpy(line,stra);
         cutv(stra, strb,line,' '); moisdc[i]=(double)(atoi(strb)); strcpy(line,stra);
   
         cutv(stra, strb,line,'/'); annais[i]=(double)(atoi(strb)); strcpy(line,stra);
         cutv(stra, strb,line,' '); moisnais[i]=(double)(atoi(strb)); strcpy(line,stra);
   
         cutv(stra, strb,line,' '); weight[i]=(double)(atoi(strb)); strcpy(line,stra);
         for (j=ncovcol;j>=1;j--){
           cutv(stra, strb,line,' '); covar[j][i]=(double)(atoi(strb)); 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;
       }
     }
     /* printf("ii=%d", ij);
        scanf("%d",i);*/
     imx=i-1; /* Number of individuals */
   
     /* for (i=1; i<=imx; i++){
       if ((s[1][i]==3) && (s[2][i]==2)) s[2][i]=3;
       if ((s[2][i]==3) && (s[3][i]==2)) s[3][i]=3;
       if ((s[3][i]==3) && (s[4][i]==2)) s[4][i]=3;
       }*/
      /*  for (i=1; i<=imx; i++){
        if (s[4][i]==9)  s[4][i]=-1; 
        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]));}*/
     
    for (i=1; i<=imx; i++)
    
      /*if ((s[3][i]==3) ||  (s[4][i]==3)) weight[i]=0.08;
        else weight[i]=1;*/
   
     /* Calculation of the number of parameter from char model*/
     Tvar=ivector(1,15); /* stores the number n of the covariates in Vm+Vn at 1 and m at 2 */
     Tprod=ivector(1,15); 
     Tvaraff=ivector(1,15); 
     Tvard=imatrix(1,15,1,2);
     Tage=ivector(1,15);      
      
     if (strlen(model) >1){ /* If there is at least 1 covariate */
       j=0, j1=0, k1=1, k2=1;
       j=nbocc(model,'+'); /* j=Number of '+' */
       j1=nbocc(model,'*'); /* j1=Number of '*' */
       cptcovn=j+1; 
       cptcovprod=j1; /*Number of products */
       
       strcpy(modelsav,model); 
       if ((strcmp(model,"age")==0) || (strcmp(model,"age*age")==0)){
         printf("Error. Non available option model=%s ",model);
         fprintf(ficlog,"Error. Non available option model=%s ",model);
         goto end;
       }
       
       /* This loop fills the array Tvar from the string 'model'.*/
   
       for(i=(j+1); i>=1;i--){
         cutv(stra,strb,modelsav,'+'); /* keeps in strb after the last + */ 
         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 */
           cutv(strd,strc,strb,'*'); /* strd*strc  Vm*Vn (if not *age)*/
           if (strcmp(strc,"age")==0) { /* Vn*age */
             cptcovprod--;
             cutv(strb,stre,strd,'V');
             Tvar[i]=atoi(stre); /* computes n in Vn and stores in Tvar*/
             cptcovage++;
               Tage[cptcovage]=i;
               /*printf("stre=%s ", stre);*/
           }
           else if (strcmp(strd,"age")==0) { /* or age*Vn */
             cptcovprod--;
             cutv(strb,stre,strc,'V');
             Tvar[i]=atoi(stre);
             cptcovage++;
             Tage[cptcovage]=i;
           }
           else {  /* Age is not in the model */
             cutv(strb,stre,strc,'V'); /* strc= Vn, stre is n*/
             Tvar[i]=ncovcol+k1;
             cutv(strb,strc,strd,'V'); /* strd was Vm, strc is m */
             Tprod[k1]=i;
             Tvard[k1][1]=atoi(strc); /* m*/
             Tvard[k1][2]=atoi(stre); /* n */
             Tvar[cptcovn+k2]=Tvard[k1][1];
             Tvar[cptcovn+k2+1]=Tvard[k1][2]; 
             for (k=1; k<=lastobs;k++) 
               covar[ncovcol+k1][k]=covar[atoi(stre)][k]*covar[atoi(strc)][k];
             k1++;
             k2=k2+2;
           }
         }
         else { /* no more sum */
           /*printf("d=%s c=%s b=%s\n", strd,strc,strb);*/
          /*  scanf("%d",i);*/
         cutv(strd,strc,strb,'V');
         Tvar[i]=atoi(strc);
         }
         strcpy(modelsav,stra);  
         /*printf("a=%s b=%s sav=%s\n", stra,strb,modelsav);
           scanf("%d",i);*/
       } /* end of loop + */
     } /* end model */
     
     /*The number n of Vn is stored in Tvar. cptcovage =number of age covariate. Tage gives the position of age. cptcovprod= number of products.
       If model=V1+V1*age then Tvar[1]=1 Tvar[2]=1 cptcovage=1 Tage[1]=2 cptcovprod=0*/
   
     /* printf("tvar1=%d tvar2=%d tvar3=%d cptcovage=%d Tage=%d",Tvar[1],Tvar[2],Tvar[3],cptcovage,Tage[1]);
     printf("cptcovprod=%d ", cptcovprod);
     fprintf(ficlog,"cptcovprod=%d ", cptcovprod);
   
     scanf("%d ",i);
     fclose(fic);*/
   
       /*  if(mle==1){*/
     if (weightopt != 1) { /* Maximisation without weights*/
       for(i=1;i<=n;i++) weight[i]=1.0;
     }
       /*-calculation of age at interview from date of interview and age at death -*/
     agev=matrix(1,maxwav,1,imx);
   
     for (i=1; i<=imx; i++) {
       for(m=2; (m<= maxwav); m++) {
         if (((int)mint[m][i]== 99) && (s[m][i] <= nlstate)){
           anint[m][i]=9999;
           s[m][i]=-1;
         }
         if((int)moisdc[i]==99 && (int)andc[i]==9999 && s[m][i]>nlstate){
           nberr++;
           printf("Error! Date of death (month %2d and year %4d) of individual %ld on line %d was unknown, you must set an arbitrary year of death or he/she is skipped and results are biased\n",(int)moisdc[i],(int)andc[i],num[i],i);
           fprintf(ficlog,"Error! Date of death (month %2d and year %4d) of individual %ld on line %d was unknown, you must set an arbitrary year of death or he/she is skipped and results are biased\n",(int)moisdc[i],(int)andc[i],num[i],i);
           s[m][i]=-1;
         }
         if((int)moisdc[i]==99 && (int)andc[i]!=9999 && s[m][i]>nlstate){
           nberr++;
           printf("Error! Month of death of individual %ld on line %d was unknown %2d, you should set it otherwise the information on the death is skipped and results are biased.\n",num[i],i,(int)moisdc[i]); 
           fprintf(ficlog,"Error! Month of death of individual %ld on line %d was unknown %f, you should set it otherwise the information on the death is skipped and results are biased.\n",num[i],i,moisdc[i]); 
           s[m][i]=-1; /* We prefer to skip it (and to skip it in version 0.8a1 too */
         }
       }
     }
   
     for (i=1; i<=imx; i++)  {
       agedc[i]=(moisdc[i]/12.+andc[i])-(moisnais[i]/12.+annais[i]);
       for(m=firstpass; (m<= lastpass); m++){
         if(s[m][i] >0){
           if (s[m][i] >= nlstate+1) {
             if(agedc[i]>0)
               if((int)moisdc[i]!=99 && (int)andc[i]!=9999)
                 agev[m][i]=agedc[i];
             /*if(moisdc[i]==99 && andc[i]==9999) s[m][i]=-1;*/
               else {
                 if ((int)andc[i]!=9999){
                   nbwarn++;
                   printf("Warning negative age at death: %ld line:%d\n",num[i],i);
                   fprintf(ficlog,"Warning negative age at death: %ld line:%d\n",num[i],i);
                   agev[m][i]=-1;
                 }
               }
           }
           else if(s[m][i] !=9){ /* Standard case, age in fractional
                                    years but with the precision of a
                                    month */
             agev[m][i]=(mint[m][i]/12.+1./24.+anint[m][i])-(moisnais[i]/12.+1./24.+annais[i]);
             if((int)mint[m][i]==99 || (int)anint[m][i]==9999)
               agev[m][i]=1;
             else if(agev[m][i] <agemin){ 
               agemin=agev[m][i];
               /*printf(" Min anint[%d][%d]=%.2f annais[%d]=%.2f, agemin=%.2f\n",m,i,anint[m][i], i,annais[i], agemin);*/
             }
             else if(agev[m][i] >agemax){
               agemax=agev[m][i];
               /* printf(" anint[%d][%d]=%.0f annais[%d]=%.0f, agemax=%.0f\n",m,i,anint[m][i], i,annais[i], agemax);*/
             }
             /*agev[m][i]=anint[m][i]-annais[i];*/
             /*     agev[m][i] = age[i]+2*m;*/
           }
           else { /* =9 */
             agev[m][i]=1;
             s[m][i]=-1;
           }
         }
         else /*= 0 Unknown */
           agev[m][i]=1;
       }
       
     }
     for (i=1; i<=imx; i++)  {
       for(m=firstpass; (m<=lastpass); m++){
         if (s[m][i] > (nlstate+ndeath)) {
           nberr++;
           printf("Error: on wave %d of individual %d status %d > (nlstate+ndeath)=(%d+%d)=%d\n",m,i,s[m][i],nlstate, ndeath, nlstate+ndeath);     
           fprintf(ficlog,"Error: on wave %d of individual %d status %d > (nlstate+ndeath)=(%d+%d)=%d\n",m,i,s[m][i],nlstate, ndeath, nlstate+ndeath);     
           goto end;
         }
       }
     }
   
     /*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); 
   
     agegomp=(int)agemin;
     free_vector(severity,1,maxwav);
     free_imatrix(outcome,1,maxwav+1,1,n);
     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 */
   
     Tcode=ivector(1,100);
     nbcode=imatrix(0,NCOVMAX,0,NCOVMAX); 
     ncodemax[1]=1;
     if (cptcovn > 0) tricode(Tvar,nbcode,imx);
         
     codtab=imatrix(1,100,1,10); /* Cross tabulation to get the order of 
                                    the estimations*/
     h=0;
     m=pow(2,cptcoveff);
    
     for(k=1;k<=cptcoveff; k++){
       for(i=1; i <=(m/pow(2,k));i++){
         for(j=1; j <= ncodemax[k]; j++){
           for(cpt=1; cpt <=(m/pow(2,cptcoveff+1-k)); cpt++){
             h++;
             if (h>m) h=1;codtab[h][k]=j;codtab[h][Tvar[k]]=j;
             /*  printf("h=%d k=%d j=%d codtab[h][k]=%d tvar[k]=%d \n",h, k,j,codtab[h][k],Tvar[k]);*/
           } 
         }
       }
     } 
     /* printf("codtab[1][2]=%d codtab[2][2]=%d",codtab[1][2],codtab[2][2]); 
        codtab[1][2]=1;codtab[2][2]=2; */
     /* for(i=1; i <=m ;i++){ 
        for(k=1; k <=cptcovn; k++){
        printf("i=%d k=%d %d %d ",i,k,codtab[i][k], cptcoveff);
        }
        printf("\n");
        }
        scanf("%d",i);*/
       
     /*------------ gnuplot -------------*/
     strcpy(optionfilegnuplot,optionfilefiname);
     if(mle==-3)
       strcat(optionfilegnuplot,"-mort");
     strcat(optionfilegnuplot,".gp");
   
     if((ficgp=fopen(optionfilegnuplot,"w"))==NULL) {
       printf("Problem with file %s",optionfilegnuplot);
     }
     else{
       fprintf(ficgp,"\n# %s\n", version); 
       fprintf(ficgp,"# %s\n", optionfilegnuplot); 
       fprintf(ficgp,"set missing 'NaNq'\n");
     }
     /*  fclose(ficgp);*/
     /*--------- index.htm --------*/
   
     strcpy(optionfilehtm,optionfilefiname); /* Main html file */
     if(mle==-3)
       strcat(optionfilehtm,"-mort");
     strcat(optionfilehtm,".htm");
     if((fichtm=fopen(optionfilehtm,"w"))==NULL)    {
       printf("Problem with %s \n",optionfilehtm), exit(0);
     }
   
     strcpy(optionfilehtmcov,optionfilefiname); /* Only for matrix of covariance */
     strcat(optionfilehtmcov,"-cov.htm");
     if((fichtmcov=fopen(optionfilehtmcov,"w"))==NULL)    {
       printf("Problem with %s \n",optionfilehtmcov), exit(0);
     }
     else{
     fprintf(fichtmcov,"<body>\n<title>IMaCh Cov %s</title>\n <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",\
             fileres,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);
     }
   
     fprintf(fichtm,"<body>\n<title>IMaCh %s</title>\n <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\
    - 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",\
             fileres,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model,\
             fileres,fileres,\
             filelog,filelog,optionfilegnuplot,optionfilegnuplot,strstart);
     fflush(fichtm);
   
     strcpy(pathr,path);
     strcat(pathr,optionfilefiname);
     chdir(optionfilefiname); /* Move to directory named optionfile */
     
     /* Calculates basic frequencies. Computes observed prevalence at single age
        and prints on file fileres'p'. */
     freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint);
   
     fprintf(fichtm,"\n");
     fprintf(fichtm,"<br>Total number of observations=%d <br>\n\
   Youngest age at first (selected) pass %.2f, oldest age %.2f<br>\n\
   Interval (in months) between two waves: Min=%d Max=%d Mean=%.2lf<br>\n",\
             imx,agemin,agemax,jmin,jmax,jmean);
     pmmij= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
       oldms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
       newms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
       savms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
       oldm=oldms; newm=newms; savm=savms; /* Keeps fixed addresses to free */
       
      
     /* For Powell, parameters are in a vector p[] starting at p[1]
        so we point p on param[1][1] so that p[1] maps on param[1][1][1] */
     p=param[1][1]; /* *(*(*(param +1)+1)+0) */
   
     globpr=0; /* To get the number ipmx of contributions and the sum of weights*/
     if (mle==-3){
       ximort=matrix(1,NDIM,1,NDIM);
       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 (j=1; j<=lastpass; j++)
           if (s[j][i]>nlstate) {
             dcwave[i]=j;
             /*    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;
           
           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]=0.1; p[2]=0.1;
       /*printf("%lf %lf", p[1], p[2]);*/
       
       
     printf("Powell\n");  fprintf(ficlog,"Powell\n");
     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);
     }
     fprintf(ficrespow,"# Powell\n# iter -2*LL");
     /*  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");
   
       powell(p,ximort,NDIM,ftol,&iter,&fret,gompertz);
       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]));
       replace_back_to_slash(pathc,path); /* Even gnuplot wants a / */
       printinggnuplotmort(fileres, optionfilefiname,ageminpar,agemaxpar,fage, pathc,p);
       
       printinghtmlmort(fileres,title,datafile, firstpass, lastpass, \
                        stepm, weightopt,\
                        model,imx,p,matcov);
     } /* Endof if mle==-3 */
   
     else{ /* For mle >=1 */
     
       likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
       printf("First Likeli=%12.6f ipmx=%ld sw=%12.6f",fretone,ipmx,sw);
       for (k=1; k<=npar;k++)
         printf(" %d %8.5f",k,p[k]);
       printf("\n");
       globpr=1; /* to print the contributions */
       likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
       printf("Second Likeli=%12.6f ipmx=%ld sw=%12.6f",fretone,ipmx,sw);
       for (k=1; k<=npar;k++)
         printf(" %d %8.5f",k,p[k]);
       printf("\n");
       if(mle>=1){ /* Could be 1 or 2 */
         mlikeli(ficres,p, npar, ncovmodel, nlstate, ftol, func);
       }
       
       /*--------- results files --------------*/
       fprintf(ficres,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle= 0 weight=%d\nmodel=%s\n", title, datafile, lastobs, firstpass,lastpass,ftol, stepm, ncovcol, nlstate, ndeath, maxwav, weightopt,model);
       
       
       fprintf(ficres,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
       printf("# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
       fprintf(ficlog,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
       for(i=1,jk=1; i <=nlstate; i++){
         for(k=1; k <=(nlstate+ndeath); k++){
           if (k != i) {
             printf("%d%d ",i,k);
             fprintf(ficlog,"%d%d ",i,k);
             fprintf(ficres,"%1d%1d ",i,k);
             for(j=1; j <=ncovmodel; j++){
               printf("%f ",p[jk]);
               fprintf(ficlog,"%f ",p[jk]);
               fprintf(ficres,"%f ",p[jk]);
               jk++; 
             }
             printf("\n");
             fprintf(ficlog,"\n");
             fprintf(ficres,"\n");
           }
         }
       }
       if(mle!=0){
         /* Computing hessian and covariance matrix */
         ftolhess=ftol; /* Usually correct */
         hesscov(matcov, p, npar, delti, ftolhess, func);
       }
       fprintf(ficres,"# Scales (for hessian or gradient estimation)\n");
       printf("# Scales (for hessian or gradient estimation)\n");
       fprintf(ficlog,"# Scales (for hessian or gradient estimation)\n");
       for(i=1,jk=1; i <=nlstate; i++){
         for(j=1; j <=nlstate+ndeath; j++){
           if (j!=i) {
             fprintf(ficres,"%1d%1d",i,j);
             printf("%1d%1d",i,j);
             fprintf(ficlog,"%1d%1d",i,j);
             for(k=1; k<=ncovmodel;k++){
               printf(" %.5e",delti[jk]);
               fprintf(ficlog," %.5e",delti[jk]);
               fprintf(ficres," %.5e",delti[jk]);
               jk++;
             }
             printf("\n");
             fprintf(ficlog,"\n");
             fprintf(ficres,"\n");
           }
         }
       }
       
       fprintf(ficres,"# Covariance matrix \n# 121 Var(a12)\n# 122 Cov(b12,a12) Var(b12)\n#   ...\n# 232 Cov(b23,a12)  Cov(b23,b12) ... Var (b23)\n");
       if(mle>=1)
         printf("# Covariance matrix \n# 121 Var(a12)\n# 122 Cov(b12,a12) Var(b12)\n#   ...\n# 232 Cov(b23,a12)  Cov(b23,b12) ... Var (b23)\n");
       fprintf(ficlog,"# Covariance matrix \n# 121 Var(a12)\n# 122 Cov(b12,a12) Var(b12)\n#   ...\n# 232 Cov(b23,a12)  Cov(b23,b12) ... Var (b23)\n");
       /* # 121 Var(a12)\n\ */
       /* # 122 Cov(b12,a12) Var(b12)\n\ */
       /* # 131 Cov(a13,a12) Cov(a13,b12, Var(a13)\n\ */
       /* # 132 Cov(b13,a12) Cov(b13,b12, Cov(b13,a13) Var(b13)\n\ */
       /* # 212 Cov(a21,a12) Cov(a21,b12, Cov(a21,a13) Cov(a21,b13) Var(a21)\n\ */
       /* # 212 Cov(b21,a12) Cov(b21,b12, Cov(b21,a13) Cov(b21,b13) Cov(b21,a21) Var(b21)\n\ */
       /* # 232 Cov(a23,a12) Cov(a23,b12, Cov(a23,a13) Cov(a23,b13) Cov(a23,a21) Cov(a23,b21) Var(a23)\n\ */
       /* # 232 Cov(b23,a12) Cov(b23,b12) ... Var (b23)\n" */
       
       
       /* Just to have a covariance matrix which will be more understandable
          even is we still don't want to manage dictionary of variables
       */
       for(itimes=1;itimes<=2;itimes++){
         jj=0;
         for(i=1; i <=nlstate; i++){
           for(j=1; j <=nlstate+ndeath; j++){
             if(j==i) continue;
             for(k=1; k<=ncovmodel;k++){
               jj++;
               ca[0]= k+'a'-1;ca[1]='\0';
               if(itimes==1){
                 if(mle>=1)
                   printf("#%1d%1d%d",i,j,k);
                 fprintf(ficlog,"#%1d%1d%d",i,j,k);
                 fprintf(ficres,"#%1d%1d%d",i,j,k);
               }else{
                 if(mle>=1)
                   printf("%1d%1d%d",i,j,k);
                 fprintf(ficlog,"%1d%1d%d",i,j,k);
                 fprintf(ficres,"%1d%1d%d",i,j,k);
               }
               ll=0;
               for(li=1;li <=nlstate; li++){
                 for(lj=1;lj <=nlstate+ndeath; lj++){
                   if(lj==li) continue;
                   for(lk=1;lk<=ncovmodel;lk++){
                     ll++;
                     if(ll<=jj){
                       cb[0]= lk +'a'-1;cb[1]='\0';
                       if(ll<jj){
                         if(itimes==1){
                           if(mle>=1)
                             printf(" Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                           fprintf(ficlog," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                           fprintf(ficres," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                         }else{
                           if(mle>=1)
                             printf(" %.5e",matcov[jj][ll]); 
                           fprintf(ficlog," %.5e",matcov[jj][ll]); 
                           fprintf(ficres," %.5e",matcov[jj][ll]); 
                         }
                       }else{
                         if(itimes==1){
                           if(mle>=1)
                             printf(" Var(%s%1d%1d)",ca,i,j);
                           fprintf(ficlog," Var(%s%1d%1d)",ca,i,j);
                           fprintf(ficres," Var(%s%1d%1d)",ca,i,j);
                         }else{
                           if(mle>=1)
                             printf(" %.5e",matcov[jj][ll]); 
                           fprintf(ficlog," %.5e",matcov[jj][ll]); 
                           fprintf(ficres," %.5e",matcov[jj][ll]); 
                         }
                       }
                     }
                   } /* end lk */
                 } /* end lj */
               } /* end li */
               if(mle>=1)
                 printf("\n");
               fprintf(ficlog,"\n");
               fprintf(ficres,"\n");
               numlinepar++;
             } /* end k*/
           } /*end j */
         } /* end i */
       } /* end itimes */
       
       fflush(ficlog);
       fflush(ficres);
       
       while((c=getc(ficpar))=='#' && c!= EOF){
         ungetc(c,ficpar);
         fgets(line, MAXLINE, ficpar);
         puts(line);
         fputs(line,ficparo);
       }
       ungetc(c,ficpar);
       
       estepm=0;
       fscanf(ficpar,"agemin=%lf agemax=%lf bage=%lf fage=%lf estepm=%d\n",&ageminpar,&agemaxpar, &bage, &fage, &estepm);
       if (estepm==0 || estepm < stepm) estepm=stepm;
       if (fage <= 2) {
         bage = ageminpar;
         fage = agemaxpar;
       }
       
       fprintf(ficres,"# agemin agemax for life expectancy, bage fage (if mle==0 ie no data nor Max likelihood).\n");
       fprintf(ficres,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d\n",ageminpar,agemaxpar,bage,fage, estepm);
       fprintf(ficparo,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d\n",ageminpar,agemaxpar,bage,fage, estepm);
       
       while((c=getc(ficpar))=='#' && c!= EOF){
         ungetc(c,ficpar);
         fgets(line, MAXLINE, ficpar);
         puts(line);
         fputs(line,ficparo);
       }
       ungetc(c,ficpar);
       
       fscanf(ficpar,"begin-prev-date=%lf/%lf/%lf end-prev-date=%lf/%lf/%lf mov_average=%d\n",&jprev1, &mprev1,&anprev1,&jprev2, &mprev2,&anprev2,&mobilav);
       fprintf(ficparo,"begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf mov_average=%d\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,mobilav);
       fprintf(ficres,"begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf mov_average=%d\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,mobilav);
       printf("begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf mov_average=%d\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,mobilav);
       fprintf(ficlog,"begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf mov_average=%d\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,mobilav);
       
       while((c=getc(ficpar))=='#' && c!= EOF){
         ungetc(c,ficpar);
         fgets(line, MAXLINE, ficpar);
         puts(line);
         fputs(line,ficparo);
       }
       ungetc(c,ficpar);
       
       
       dateprev1=anprev1+(mprev1-1)/12.+(jprev1-1)/365.;
       dateprev2=anprev2+(mprev2-1)/12.+(jprev2-1)/365.;
       
       fscanf(ficpar,"pop_based=%d\n",&popbased);
       fprintf(ficparo,"pop_based=%d\n",popbased);   
       fprintf(ficres,"pop_based=%d\n",popbased);   
       
       while((c=getc(ficpar))=='#' && c!= EOF){
         ungetc(c,ficpar);
         fgets(line, MAXLINE, ficpar);
         puts(line);
         fputs(line,ficparo);
       }
       ungetc(c,ficpar);
       
       fscanf(ficpar,"prevforecast=%d starting-proj-date=%lf/%lf/%lf final-proj-date=%lf/%lf/%lf mobil_average=%d\n",&prevfcast,&jproj1,&mproj1,&anproj1,&jproj2,&mproj2,&anproj2,&mobilavproj);
       fprintf(ficparo,"prevforecast=%d starting-proj-date=%.lf/%.lf/%.lf final-proj-date=%.lf/%.lf/%.lf mobil_average=%d\n",prevfcast,jproj1,mproj1,anproj1,jproj2,mproj2,anproj2,mobilavproj);
       printf("prevforecast=%d starting-proj-date=%.lf/%.lf/%.lf final-proj-date=%.lf/%.lf/%.lf mobil_average=%d\n",prevfcast,jproj1,mproj1,anproj1,jproj2,mproj2,anproj2,mobilavproj);
       fprintf(ficlog,"prevforecast=%d starting-proj-date=%.lf/%.lf/%.lf final-proj-date=%.lf/%.lf/%.lf mobil_average=%d\n",prevfcast,jproj1,mproj1,anproj1,jproj2,mproj2,anproj2,mobilavproj);
       fprintf(ficres,"prevforecast=%d starting-proj-date=%.lf/%.lf/%.lf final-proj-date=%.lf/%.lf/%.lf mobil_average=%d\n",prevfcast,jproj1,mproj1,anproj1,jproj2,mproj2,anproj2,mobilavproj);
       /* day and month of proj2 are not used but only year anproj2.*/
       
       
       
       /*  freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint);*/
       /*,dateprev1,dateprev2,jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);*/
       
       replace_back_to_slash(pathc,path); /* Even gnuplot wants a / */
       printinggnuplot(fileres, optionfilefiname,ageminpar,agemaxpar,fage, pathc,p);
       
       printinghtml(fileres,title,datafile, firstpass, lastpass, stepm, weightopt,\
                    model,imx,jmin,jmax,jmean,rfileres,popforecast,estepm,\
                    jprev1,mprev1,anprev1,jprev2,mprev2,anprev2);
         
      /*------------ free_vector  -------------*/
      /*  chdir(path); */
    
       free_ivector(wav,1,imx);
       free_imatrix(dh,1,lastpass-firstpass+1,1,imx);
       free_imatrix(bh,1,lastpass-firstpass+1,1,imx);
       free_imatrix(mw,1,lastpass-firstpass+1,1,imx);   
       free_lvector(num,1,n);
       free_vector(agedc,1,n);
       /*free_matrix(covar,0,NCOVMAX,1,n);*/
       /*free_matrix(covar,1,NCOVMAX,1,n);*/
       fclose(ficparo);
       fclose(ficres);
   
   
       /*--------------- Prevalence limit  (stable prevalence) --------------*/
     
       strcpy(filerespl,"pl");
       strcat(filerespl,fileres);
       if((ficrespl=fopen(filerespl,"w"))==NULL) {
         printf("Problem with stable prevalence resultfile: %s\n", filerespl);goto end;
         fprintf(ficlog,"Problem with stable prevalence resultfile: %s\n", filerespl);goto end;
       }
       printf("Computing stable prevalence: result on file '%s' \n", filerespl);
       fprintf(ficlog,"Computing stable prevalence: result on file '%s' \n", filerespl);
       fprintf(ficrespl,"#Stable prevalence \n");
       fprintf(ficrespl,"#Age ");
       for(i=1; i<=nlstate;i++) fprintf(ficrespl,"%d-%d ",i,i);
       fprintf(ficrespl,"\n");
     
       prlim=matrix(1,nlstate,1,nlstate);
   
       agebase=ageminpar;
       agelim=agemaxpar;
       ftolpl=1.e-10;
       i1=cptcoveff;
       if (cptcovn < 1){i1=1;}
   
       for(cptcov=1,k=0;cptcov<=i1;cptcov++){
         for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){
           k=k+1;
           /*printf("cptcov=%d cptcod=%d codtab=%d nbcode=%d\n",cptcov, cptcod,Tcode[cptcode],codtab[cptcod][cptcov]);*/
           fprintf(ficrespl,"\n#******");
           printf("\n#******");
           fprintf(ficlog,"\n#******");
           for(j=1;j<=cptcoveff;j++) {
             fprintf(ficrespl," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
             printf(" V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
             fprintf(ficlog," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
           }
           fprintf(ficrespl,"******\n");
           printf("******\n");
           fprintf(ficlog,"******\n");
           
           for (age=agebase; age<=agelim; age++){
             prevalim(prlim, nlstate, p, age, oldm, savm,ftolpl,k);
             fprintf(ficrespl,"%.0f ",age );
             for(j=1;j<=cptcoveff;j++)
               fprintf(ficrespl,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
             for(i=1; i<=nlstate;i++)
               fprintf(ficrespl," %.5f", prlim[i][i]);
             fprintf(ficrespl,"\n");
           }
         }
       }
       fclose(ficrespl);
   
       /*------------- h Pij x at various ages ------------*/
     
       strcpy(filerespij,"pij");  strcat(filerespij,fileres);
       if((ficrespij=fopen(filerespij,"w"))==NULL) {
         printf("Problem with Pij resultfile: %s\n", filerespij);goto end;
         fprintf(ficlog,"Problem with Pij resultfile: %s\n", filerespij);goto end;
       }
       printf("Computing pij: result on file '%s' \n", filerespij);
       fprintf(ficlog,"Computing pij: result on file '%s' \n", filerespij);
     
       stepsize=(int) (stepm+YEARM-1)/YEARM;
       /*if (stepm<=24) stepsize=2;*/
   
       agelim=AGESUP;
       hstepm=stepsize*YEARM; /* Every year of age */
       hstepm=hstepm/stepm; /* Typically 2 years, = 2/6 months = 4 */ 
   
       /* hstepm=1;   aff par mois*/
   
       fprintf(ficrespij,"#****** h Pij x Probability to be in state j at age x+h being in i at x ");
       for(cptcov=1,k=0;cptcov<=i1;cptcov++){
         for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){
           k=k+1;
           fprintf(ficrespij,"\n#****** ");
           for(j=1;j<=cptcoveff;j++) 
             fprintf(ficrespij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
           fprintf(ficrespij,"******\n");
           
           for (agedeb=fage; agedeb>=bage; agedeb--){ /* If stepm=6 months */
             nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
             nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
   
             /*      nhstepm=nhstepm*YEARM; aff par mois*/
   
             p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
             oldm=oldms;savm=savms;
             hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);  
             fprintf(ficrespij,"# Cov Agex agex+h hpijx with i,j=");
             for(i=1; i<=nlstate;i++)
               for(j=1; j<=nlstate+ndeath;j++)
                 fprintf(ficrespij," %1d-%1d",i,j);
             fprintf(ficrespij,"\n");
             for (h=0; h<=nhstepm; h++){
               fprintf(ficrespij,"%d %3.f %3.f",k,agedeb, agedeb+ h*hstepm/YEARM*stepm );
               for(i=1; i<=nlstate;i++)
                 for(j=1; j<=nlstate+ndeath;j++)
                   fprintf(ficrespij," %.5f", p3mat[i][j][h]);
               fprintf(ficrespij,"\n");
             }
             free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
             fprintf(ficrespij,"\n");
           }
         }
       }
   
       varprob(optionfilefiname, matcov, p, delti, nlstate, bage, fage,k,Tvar,nbcode, ncodemax);
   
       fclose(ficrespij);
   
       probs= ma3x(1,AGESUP,1,NCOVMAX, 1,NCOVMAX);
       for(i=1;i<=AGESUP;i++)
         for(j=1;j<=NCOVMAX;j++)
           for(k=1;k<=NCOVMAX;k++)
             probs[i][j][k]=0.;
   
       /*---------- Forecasting ------------------*/
       /*if((stepm == 1) && (strcmp(model,".")==0)){*/
       if(prevfcast==1){
         /*    if(stepm ==1){*/
         prevforecast(fileres, anproj1, mproj1, jproj1, agemin, agemax, dateprev1, dateprev2, mobilavproj, bage, fage, firstpass, lastpass, anproj2, p, cptcoveff);
         /* (popforecast==1) populforecast(fileres, anpyram,mpyram,jpyram, agemin,agemax, dateprev1, dateprev2,mobilav, agedeb, fage, popforecast, popfile, anpyram1,p, i1);*/
         /*      }  */
         /*      else{ */
         /*        erreur=108; */
         /*        printf("Warning %d!! You can only forecast the prevalences if the optimization\n  has been performed with stepm = 1 (month) instead of %d or model=. instead of '%s'\n", erreur, stepm, model); */
         /*        fprintf(ficlog,"Warning %d!! You can only forecast the prevalences if the optimization\n  has been performed with stepm = 1 (month) instead of %d or model=. instead of '%s'\n", erreur, stepm, model); */
         /*      } */
       }
     
   
       /*---------- 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 LEs with variances: file '%s' \n", filerest); 
       fprintf(ficlog,"Computing Total LEs with variances: file '%s' \n", filerest); 
   
   
       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);
   
       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);
   
       /* 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);
         }
       }
   
       for(cptcov=1,k=0;cptcov<=i1;cptcov++){
         for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){
           k=k+1; 
           fprintf(ficrest,"\n#****** ");
           for(j=1;j<=cptcoveff;j++) 
             fprintf(ficrest,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
           fprintf(ficrest,"******\n");
   
           fprintf(ficreseij,"\n#****** ");
           for(j=1;j<=cptcoveff;j++) 
             fprintf(ficreseij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
           fprintf(ficreseij,"******\n");
   
           fprintf(ficresvij,"\n#****** ");
           for(j=1;j<=cptcoveff;j++) 
             fprintf(ficresvij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
           fprintf(ficresvij,"******\n");
   
           eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
           oldm=oldms;savm=savms;
           evsij(fileres, eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k, estepm, delti, matcov);  
    
           vareij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
           oldm=oldms;savm=savms;
           varevsij(optionfilefiname, vareij, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k, estepm, cptcov,cptcod,0, mobilav);
           if(popbased==1){
             varevsij(optionfilefiname, vareij, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k, estepm, cptcov,cptcod,popbased,mobilav);
           }
   
    
           fprintf(ficrest,"#Total LEs with variances: e.. (std) ");
           for (i=1;i<=nlstate;i++) fprintf(ficrest,"e.%d (std) ",i);
           fprintf(ficrest,"\n");
   
           epj=vector(1,nlstate+1);
           for(age=bage; age <=fage ;age++){
             prevalim(prlim, nlstate, p, age, oldm, savm,ftolpl,k);
             if (popbased==1) {
               if(mobilav ==0){
                 for(i=1; i<=nlstate;i++)
                   prlim[i][i]=probs[(int)age][i][k];
               }else{ /* mobilav */ 
                 for(i=1; i<=nlstate;i++)
                   prlim[i][i]=mobaverage[(int)age][i][k];
               }
             }
           
             fprintf(ficrest," %4.0f",age);
             for(j=1, epj[nlstate+1]=0.;j <=nlstate;j++){
               for(i=1, epj[j]=0.;i <=nlstate;i++) {
                 epj[j] += prlim[i][i]*eij[i][j][(int)age];
                 /*  printf("%lf %lf ", prlim[i][i] ,eij[i][j][(int)age]);*/
               }
               epj[nlstate+1] +=epj[j];
             }
   
             for(i=1, vepp=0.;i <=nlstate;i++)
               for(j=1;j <=nlstate;j++)
                 vepp += vareij[i][j][(int)age];
             fprintf(ficrest," %7.3f (%7.3f)", epj[nlstate+1],sqrt(vepp));
             for(j=1;j <=nlstate;j++){
               fprintf(ficrest," %7.3f (%7.3f)", epj[j],sqrt(vareij[j][j][(int)age]));
             }
             fprintf(ficrest,"\n");
           }
           free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);
           free_ma3x(vareij,1,nlstate,1,nlstate,(int) bage, (int)fage);
           free_vector(epj,1,nlstate+1);
         }
       }
       free_vector(weight,1,n);
       free_imatrix(Tvard,1,15,1,2);
       free_imatrix(s,1,maxwav+1,1,n);
       free_matrix(anint,1,maxwav,1,n); 
       free_matrix(mint,1,maxwav,1,n);
       free_ivector(cod,1,n);
       free_ivector(tab,1,NCOVMAX);
       fclose(ficreseij);
       fclose(ficresvij);
       fclose(ficrest);
       fclose(ficpar);
     
       /*------- Variance of stable prevalence------*/   
   
       strcpy(fileresvpl,"vpl");
       strcat(fileresvpl,fileres);
       if((ficresvpl=fopen(fileresvpl,"w"))==NULL) {
         printf("Problem with variance of stable prevalence  resultfile: %s\n", fileresvpl);
         exit(0);
       }
       printf("Computing Variance-covariance of stable prevalence: file '%s' \n", fileresvpl);
   
       for(cptcov=1,k=0;cptcov<=i1;cptcov++){
         for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){
           k=k+1;
           fprintf(ficresvpl,"\n#****** ");
           for(j=1;j<=cptcoveff;j++) 
             fprintf(ficresvpl,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
           fprintf(ficresvpl,"******\n");
         
           varpl=matrix(1,nlstate,(int) bage, (int) fage);
           oldm=oldms;savm=savms;
           varprevlim(fileres, varpl, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k);
           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 */
       free_matrix(pmmij,1,nlstate+ndeath,1,nlstate+ndeath);
       free_matrix(oldms, 1,nlstate+ndeath,1,nlstate+ndeath);
       free_matrix(newms, 1,nlstate+ndeath,1,nlstate+ndeath);
       free_matrix(savms, 1,nlstate+ndeath,1,nlstate+ndeath);
     
       free_matrix(covar,0,NCOVMAX,1,n);
       free_matrix(matcov,1,npar,1,npar);
       /*free_vector(delti,1,npar);*/
       free_ma3x(delti3,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel); 
       free_matrix(agev,1,maxwav,1,imx);
       free_ma3x(param,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel);
   
       free_ivector(ncodemax,1,8);
       free_ivector(Tvar,1,15);
       free_ivector(Tprod,1,15);
       free_ivector(Tvaraff,1,15);
       free_ivector(Tage,1,15);
       free_ivector(Tcode,1,100);
   
   
     fflush(fichtm);
     fflush(ficgp);
     
   
     if((nberr >0) || (nbwarn>0)){
       printf("End of Imach with %d errors and/or %d warnings\n",nberr,nbwarn);
       fprintf(ficlog,"End of Imach with %d errors and/or warnings %d\n",nberr,nbwarn);
     }else{
       printf("End of Imach\n");
       fprintf(ficlog,"End of Imach\n");
     }
     printf("See log file on %s\n",filelog);
     /*  gettimeofday(&end_time, (struct timezone*)0);*/  /* after time */
     (void) gettimeofday(&end_time,&tzp);
     tm = *localtime(&end_time.tv_sec);
     tmg = *gmtime(&end_time.tv_sec);
     strcpy(strtend,asctime(&tm));
     printf("Local time at start %s\nLocaltime at end   %s",strstart, strtend); 
     fprintf(ficlog,"Local time at start %s\nLocal time at end   %s\n",strstart, strtend); 
     printf("Total time used %s\n", asc_diff_time(end_time.tv_sec -start_time.tv_sec,tmpout));
   
     printf("Total time was %d Sec.\n", end_time.tv_sec -start_time.tv_sec);
     fprintf(ficlog,"Total time used %s\n", asc_diff_time(end_time.tv_sec -start_time.tv_sec,tmpout));
     fprintf(ficlog,"Total time was %d Sec.\n", end_time.tv_sec -start_time.tv_sec);
     /*  printf("Total time was %d uSec.\n", total_usecs);*/
   /*   if(fileappend(fichtm,optionfilehtm)){ */
     fprintf(fichtm,"<br>Local time at start %s<br>Local time at end   %s<br>",strstart, strtend);
     fclose(fichtm);
     fclose(fichtmcov);
     fclose(ficgp);
     fclose(ficlog);
     /*------ End -----------*/
   
     chdir(path);
     strcpy(plotcmd,"\"");
     strcat(plotcmd,pathimach);
     strcat(plotcmd,GNUPLOTPROGRAM);
     strcat(plotcmd,"\"");
     strcat(plotcmd," ");
     strcat(plotcmd,optionfilegnuplot);
     printf("Starting graphs with: %s",plotcmd);fflush(stdout);
     if((outcmd=system(plotcmd)) != 0){
       printf(" Problem with gnuplot\n");
     }
     printf(" Wait...");
     while (z[0] != 'q') {
       /* chdir(path); */
       printf("\nType e to edit output files, g to graph again and q for exiting: ");
       scanf("%s",z);
   /*     if (z[0] == 'c') system("./imach"); */
       if (z[0] == 'e') {
         printf("Starting browser with: %s",optionfilehtm);fflush(stdout);
         system(optionfilehtm);
       }
       else if (z[0] == 'g') system(plotcmd);
       else if (z[0] == 'q') exit(0);
     }
     end:
     while (z[0] != 'q') {
       printf("\nType  q for exiting: ");
       scanf("%s",z);
     }
   }
   
   
   

Removed from v.1.2  
changed lines
  Added in v.1.103


FreeBSD-CVSweb <freebsd-cvsweb@FreeBSD.org>