Diff for /imach/src/imach.c between versions 1.4 and 1.154

version 1.4, 2001/05/02 17:34:41 version 1.154, 2014/06/20 17:32:08
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      /* $Id$
 /*********************** Imach **************************************            $State$
   This program computes Healthy Life Expectancies from cross-longitudinal    $Log$
   data. Cross-longitudinal consist in a first survey ("cross") where    Revision 1.154  2014/06/20 17:32:08  brouard
   individuals from different ages are interviewed on their health status    Summary: Outputs now all graphs of convergence to period prevalence
   or degree of  disability. At least a second wave of interviews  
   ("longitudinal") should  measure each new individual health status.    Revision 1.153  2014/06/20 16:45:46  brouard
   Health expectancies are computed from the transistions observed between    Summary: If 3 live state, convergence to period prevalence on same graph
   waves and are computed for each degree of severity of disability (number    Author: Brouard
   of life states). More degrees you consider, more time is necessary to  
   reach the Maximum Likelihood of the parameters involved in the model.    Revision 1.152  2014/06/18 17:54:09  brouard
   The simplest model is the multinomial logistic model where pij is    Summary: open browser, use gnuplot on same dir than imach if not found in the path
   the probabibility to be observed in state j at the second wave conditional  
   to be observed in state i at the first wave. Therefore the model is:    Revision 1.151  2014/06/18 16:43:30  brouard
   log(pij/pii)= aij + bij*age+ cij*sex + etc , where 'age' is age and 'sex'    *** empty log message ***
   is a covariate. If you want to have a more complex model than "constant and  
   age", you should modify the program where the markup    Revision 1.150  2014/06/18 16:42:35  brouard
     *Covariates have to be included here again* invites you to do it.    Summary: If gnuplot is not in the path try on same directory than imach binary (OSX)
   More covariates you add, less is the speed of the convergence.    Author: brouard
   
   The advantage that this computer programme claims, comes from that if the    Revision 1.149  2014/06/18 15:51:14  brouard
   delay between waves is not identical for each individual, or if some    Summary: Some fixes in parameter files errors
   individual missed an interview, the information is not rounded or lost, but    Author: Nicolas Brouard
   taken into account using an interpolation or extrapolation.  
   hPijx is the probability to be    Revision 1.148  2014/06/17 17:38:48  brouard
   observed in state i at age x+h conditional to the observed state i at age    Summary: Nothing new
   x. The delay 'h' can be split into an exact number (nh*stepm) of    Author: Brouard
   unobserved intermediate  states. This elementary transition (by month or  
   quarter trimester, semester or year) is model as a multinomial logistic.    Just a new packaging for OS/X version 0.98nS
   The hPx matrix is simply the matrix product of nh*stepm elementary matrices  
   and the contribution of each individual to the likelihood is simply hPijx.    Revision 1.147  2014/06/16 10:33:11  brouard
     *** empty log message ***
   Also this programme outputs the covariance matrix of the parameters but also  
   of the life expectancies. It also computes the prevalence limits.    Revision 1.146  2014/06/16 10:20:28  brouard
      Summary: Merge
   Authors: Nicolas Brouard (brouard@ined.fr) and Agnès Lièvre (lievre@ined.fr).    Author: Brouard
            Institut national d'études démographiques, Paris.  
   This software have been partly granted by Euro-REVES, a concerted action    Merge, before building revised version.
   from the European Union.  
   It is copyrighted identically to a GNU software product, ie programme and    Revision 1.145  2014/06/10 21:23:15  brouard
   software can be distributed freely for non commercial use. Latest version    Summary: Debugging with valgrind
   can be accessed at http://euroreves.ined.fr/imach .    Author: Nicolas Brouard
   **********************************************************************/  
      Lot of changes in order to output the results with some covariates
 #include <math.h>    After the Edimburgh REVES conference 2014, it seems mandatory to
 #include <stdio.h>    improve the code.
 #include <stdlib.h>    No more memory valgrind error but a lot has to be done in order to
 #include <unistd.h>    continue the work of splitting the code into subroutines.
     Also, decodemodel has been improved. Tricode is still not
 #define MAXLINE 256    optimal. nbcode should be improved. Documentation has been added in
 #define FILENAMELENGTH 80    the source code.
 /*#define DEBUG*/  
 #define windows    Revision 1.143  2014/01/26 09:45:38  brouard
     Summary: Version 0.98nR (to be improved, but gives same optimization results as 0.98k. Nice, promising
 #define MAXPARM 30 /* Maximum number of parameters for the optimization */  
 #define NPARMAX 64 /* (nlstate+ndeath-1)*nlstate*ncovmodel */    * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
     (Module): Version 0.98nR Running ok, but output format still only works for three covariates.
 #define NINTERVMAX 8  
 #define NLSTATEMAX 8 /* Maximum number of live states (for func) */    Revision 1.142  2014/01/26 03:57:36  brouard
 #define NDEATHMAX 8 /* Maximum number of dead states (for func) */    Summary: gnuplot changed plot w l 1 has to be changed to plot w l lt 2
 #define NCOVMAX 8 /* Maximum number of covariates */  
 #define MAXN 20000    * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
 #define YEARM 12. /* Number of months per year */  
 #define AGESUP 130    Revision 1.141  2014/01/26 02:42:01  brouard
 #define AGEBASE 40    * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
   
     Revision 1.140  2011/09/02 10:37:54  brouard
 int nvar;    Summary: times.h is ok with mingw32 now.
 static int cptcov;  
 int cptcovn;    Revision 1.139  2010/06/14 07:50:17  brouard
 int npar=NPARMAX;    After the theft of my laptop, I probably lost some lines of codes which were not uploaded to the CVS tree.
 int nlstate=2; /* Number of live states */    I remember having already fixed agemin agemax which are pointers now but not cvs saved.
 int ndeath=1; /* Number of dead states */  
 int ncovmodel, ncov;     /* Total number of covariables including constant a12*1 +b12*x ncovmodel=2 */    Revision 1.138  2010/04/30 18:19:40  brouard
     *** empty log message ***
 int *wav; /* Number of waves for this individuual 0 is possible */  
 int maxwav; /* Maxim number of waves */    Revision 1.137  2010/04/29 18:11:38  brouard
 int mle, weightopt;    (Module): Checking covariates for more complex models
 int **mw; /* mw[mi][i] is number of the mi wave for this individual */    than V1+V2. A lot of change to be done. Unstable.
 int **dh; /* dh[mi][i] is number of steps between mi,mi+1 for this individual */  
 double **oldm, **newm, **savm; /* Working pointers to matrices */    Revision 1.136  2010/04/26 20:30:53  brouard
 double **oldms, **newms, **savms; /* Fixed working pointers to matrices */    (Module): merging some libgsl code. Fixing computation
 FILE *fic,*ficpar, *ficparo,*ficres,  *ficrespl, *ficrespij, *ficrest;    of likelione (using inter/intrapolation if mle = 0) in order to
 FILE *ficgp, *fichtm;    get same likelihood as if mle=1.
 FILE *ficreseij;    Some cleaning of code and comments added.
   char filerese[FILENAMELENGTH];  
  FILE  *ficresvij;    Revision 1.135  2009/10/29 15:33:14  brouard
   char fileresv[FILENAMELENGTH];    (Module): Now imach stops if date of birth, at least year of birth, is not given. Some cleaning of the code.
  FILE  *ficresvpl;  
   char fileresvpl[FILENAMELENGTH];    Revision 1.134  2009/10/29 13:18:53  brouard
     (Module): Now imach stops if date of birth, at least year of birth, is not given. Some cleaning of the code.
   
     Revision 1.133  2009/07/06 10:21:25  brouard
     just nforces
 #define NR_END 1  
 #define FREE_ARG char*    Revision 1.132  2009/07/06 08:22:05  brouard
 #define FTOL 1.0e-10    Many tings
   
 #define NRANSI    Revision 1.131  2009/06/20 16:22:47  brouard
 #define ITMAX 200    Some dimensions resccaled
   
 #define TOL 2.0e-4    Revision 1.130  2009/05/26 06:44:34  brouard
     (Module): Max Covariate is now set to 20 instead of 8. A
 #define CGOLD 0.3819660    lot of cleaning with variables initialized to 0. Trying to make
 #define ZEPS 1.0e-10    V2+V3*age+V1+V4 strb=V3*age+V1+V4 working better.
 #define SHFT(a,b,c,d) (a)=(b);(b)=(c);(c)=(d);  
     Revision 1.129  2007/08/31 13:49:27  lievre
 #define GOLD 1.618034    Modification of the way of exiting when the covariate is not binary in order to see on the window the error message before exiting
 #define GLIMIT 100.0  
 #define TINY 1.0e-20    Revision 1.128  2006/06/30 13:02:05  brouard
     (Module): Clarifications on computing e.j
 static double maxarg1,maxarg2;  
 #define FMAX(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)>(maxarg2)? (maxarg1):(maxarg2))    Revision 1.127  2006/04/28 18:11:50  brouard
 #define FMIN(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)<(maxarg2)? (maxarg1):(maxarg2))    (Module): Yes the sum of survivors was wrong since
      imach-114 because nhstepm was no more computed in the age
 #define SIGN(a,b) ((b)>0.0 ? fabs(a) : -fabs(a))    loop. Now we define nhstepma in the age loop.
 #define rint(a) floor(a+0.5)    (Module): In order to speed up (in case of numerous covariates) we
     compute health expectancies (without variances) in a first step
 static double sqrarg;    and then all the health expectancies with variances or standard
 #define SQR(a) ((sqrarg=(a)) == 0.0 ? 0.0 :sqrarg*sqrarg)    deviation (needs data from the Hessian matrices) which slows the
 #define SWAP(a,b) {temp=(a);(a)=(b);(b)=temp;}    computation.
     In the future we should be able to stop the program is only health
 int imx;    expectancies and graph are needed without standard deviations.
 int stepm;  
 /* Stepm, step in month: minimum step interpolation*/    Revision 1.126  2006/04/28 17:23:28  brouard
     (Module): Yes the sum of survivors was wrong since
 int m,nb;    imach-114 because nhstepm was no more computed in the age
 int *num, firstpass=0, lastpass=4,*cod, *ncodemax;    loop. Now we define nhstepma in the age loop.
 double **agev,*moisnais, *annais, *moisdc, *andc,**mint, **anint;    Version 0.98h
 double **pmmij;  
     Revision 1.125  2006/04/04 15:20:31  lievre
 double *weight;    Errors in calculation of health expectancies. Age was not initialized.
 int **s; /* Status */    Forecasting file added.
 double *agedc, **covar, idx;  
 int **nbcode, *Tcode, *Tvar, **codtab;    Revision 1.124  2006/03/22 17:13:53  lievre
     Parameters are printed with %lf instead of %f (more numbers after the comma).
 double ftol=FTOL; /* Tolerance for computing Max Likelihood */    The log-likelihood is printed in the log file
 double ftolhess; /* Tolerance for computing hessian */  
     Revision 1.123  2006/03/20 10:52:43  brouard
     * imach.c (Module): <title> changed, corresponds to .htm file
 /******************************************/    name. <head> headers where missing.
   
 void replace(char *s, char*t)    * imach.c (Module): Weights can have a decimal point as for
 {    English (a comma might work with a correct LC_NUMERIC environment,
   int i;    otherwise the weight is truncated).
   int lg=20;    Modification of warning when the covariates values are not 0 or
   i=0;    1.
   lg=strlen(t);    Version 0.98g
   for(i=0; i<= lg; i++) {  
     (s[i] = t[i]);    Revision 1.122  2006/03/20 09:45:41  brouard
     if (t[i]== '\\') s[i]='/';    (Module): Weights can have a decimal point as for
   }    English (a comma might work with a correct LC_NUMERIC environment,
 }    otherwise the weight is truncated).
     Modification of warning when the covariates values are not 0 or
 int nbocc(char *s, char occ)    1.
 {    Version 0.98g
   int i,j=0;  
   int lg=20;    Revision 1.121  2006/03/16 17:45:01  lievre
   i=0;    * imach.c (Module): Comments concerning covariates added
   lg=strlen(s);  
   for(i=0; i<= lg; i++) {    * imach.c (Module): refinements in the computation of lli if
   if  (s[i] == occ ) j++;    status=-2 in order to have more reliable computation if stepm is
   }    not 1 month. Version 0.98f
   return j;  
 }    Revision 1.120  2006/03/16 15:10:38  lievre
     (Module): refinements in the computation of lli if
 void cutv(char *u,char *v, char*t, char occ)    status=-2 in order to have more reliable computation if stepm is
 {    not 1 month. Version 0.98f
   int i,lg,j,p;  
   i=0;    Revision 1.119  2006/03/15 17:42:26  brouard
   for(j=0; j<=strlen(t)-1; j++) {    (Module): Bug if status = -2, the loglikelihood was
     if((t[j]!= occ) && (t[j+1]== occ)) p=j+1;    computed as likelihood omitting the logarithm. Version O.98e
   }  
     Revision 1.118  2006/03/14 18:20:07  brouard
   lg=strlen(t);    (Module): varevsij Comments added explaining the second
   for(j=0; j<p; j++) {    table of variances if popbased=1 .
     (u[j] = t[j]);    (Module): Covariances of eij, ekl added, graphs fixed, new html link.
     u[p]='\0';    (Module): Function pstamp added
   }    (Module): Version 0.98d
   
    for(j=0; j<= lg; j++) {    Revision 1.117  2006/03/14 17:16:22  brouard
     if (j>=(p+1))(v[j-p-1] = t[j]);    (Module): varevsij Comments added explaining the second
   }    table of variances if popbased=1 .
 }    (Module): Covariances of eij, ekl added, graphs fixed, new html link.
     (Module): Function pstamp added
 /********************** nrerror ********************/    (Module): Version 0.98d
   
 void nrerror(char error_text[])    Revision 1.116  2006/03/06 10:29:27  brouard
 {    (Module): Variance-covariance wrong links and
   fprintf(stderr,"ERREUR ...\n");    varian-covariance of ej. is needed (Saito).
   fprintf(stderr,"%s\n",error_text);  
   exit(1);    Revision 1.115  2006/02/27 12:17:45  brouard
 }    (Module): One freematrix added in mlikeli! 0.98c
 /*********************** vector *******************/  
 double *vector(int nl, int nh)    Revision 1.114  2006/02/26 12:57:58  brouard
 {    (Module): Some improvements in processing parameter
   double *v;    filename with strsep.
   v=(double *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(double)));  
   if (!v) nrerror("allocation failure in vector");    Revision 1.113  2006/02/24 14:20:24  brouard
   return v-nl+NR_END;    (Module): Memory leaks checks with valgrind and:
 }    datafile was not closed, some imatrix were not freed and on matrix
     allocation too.
 /************************ free vector ******************/  
 void free_vector(double*v, int nl, int nh)    Revision 1.112  2006/01/30 09:55:26  brouard
 {    (Module): Back to gnuplot.exe instead of wgnuplot.exe
   free((FREE_ARG)(v+nl-NR_END));  
 }    Revision 1.111  2006/01/25 20:38:18  brouard
     (Module): Lots of cleaning and bugs added (Gompertz)
 /************************ivector *******************************/    (Module): Comments can be added in data file. Missing date values
 int *ivector(long nl,long nh)    can be a simple dot '.'.
 {  
   int *v;    Revision 1.110  2006/01/25 00:51:50  brouard
   v=(int *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(int)));    (Module): Lots of cleaning and bugs added (Gompertz)
   if (!v) nrerror("allocation failure in ivector");  
   return v-nl+NR_END;    Revision 1.109  2006/01/24 19:37:15  brouard
 }    (Module): Comments (lines starting with a #) are allowed in data.
   
 /******************free ivector **************************/    Revision 1.108  2006/01/19 18:05:42  lievre
 void free_ivector(int *v, long nl, long nh)    Gnuplot problem appeared...
 {    To be fixed
   free((FREE_ARG)(v+nl-NR_END));  
 }    Revision 1.107  2006/01/19 16:20:37  brouard
     Test existence of gnuplot in imach path
 /******************* imatrix *******************************/  
 int **imatrix(long nrl, long nrh, long ncl, long nch)    Revision 1.106  2006/01/19 13:24:36  brouard
      /* allocate a int matrix with subscript range m[nrl..nrh][ncl..nch] */    Some cleaning and links added in html output
 {  
   long i, nrow=nrh-nrl+1,ncol=nch-ncl+1;    Revision 1.105  2006/01/05 20:23:19  lievre
   int **m;    *** empty log message ***
    
   /* allocate pointers to rows */    Revision 1.104  2005/09/30 16:11:43  lievre
   m=(int **) malloc((size_t)((nrow+NR_END)*sizeof(int*)));    (Module): sump fixed, loop imx fixed, and simplifications.
   if (!m) nrerror("allocation failure 1 in matrix()");    (Module): If the status is missing at the last wave but we know
   m += NR_END;    that the person is alive, then we can code his/her status as -2
   m -= nrl;    (instead of missing=-1 in earlier versions) and his/her
      contributions to the likelihood is 1 - Prob of dying from last
      health status (= 1-p13= p11+p12 in the easiest case of somebody in
   /* allocate rows and set pointers to them */    the healthy state at last known wave). Version is 0.98
   m[nrl]=(int *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(int)));  
   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");    Revision 1.103  2005/09/30 15:54:49  lievre
   m[nrl] += NR_END;    (Module): sump fixed, loop imx fixed, and simplifications.
   m[nrl] -= ncl;  
      Revision 1.102  2004/09/15 17:31:30  brouard
   for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol;    Add the possibility to read data file including tab characters.
    
   /* return pointer to array of pointers to rows */    Revision 1.101  2004/09/15 10:38:38  brouard
   return m;    Fix on curr_time
 }  
     Revision 1.100  2004/07/12 18:29:06  brouard
 /****************** free_imatrix *************************/    Add version for Mac OS X. Just define UNIX in Makefile
 void free_imatrix(m,nrl,nrh,ncl,nch)  
       int **m;    Revision 1.99  2004/06/05 08:57:40  brouard
       long nch,ncl,nrh,nrl;    *** empty log message ***
      /* free an int matrix allocated by imatrix() */  
 {    Revision 1.98  2004/05/16 15:05:56  brouard
   free((FREE_ARG) (m[nrl]+ncl-NR_END));    New version 0.97 . First attempt to estimate force of mortality
   free((FREE_ARG) (m+nrl-NR_END));    directly from the data i.e. without the need of knowing the health
 }    state at each age, but using a Gompertz model: log u =a + b*age .
     This is the basic analysis of mortality and should be done before any
 /******************* matrix *******************************/    other analysis, in order to test if the mortality estimated from the
 double **matrix(long nrl, long nrh, long ncl, long nch)    cross-longitudinal survey is different from the mortality estimated
 {    from other sources like vital statistic data.
   long i, nrow=nrh-nrl+1, ncol=nch-ncl+1;  
   double **m;    The same imach parameter file can be used but the option for mle should be -3.
   
   m=(double **) malloc((size_t)((nrow+NR_END)*sizeof(double*)));    Agnès, who wrote this part of the code, tried to keep most of the
   if (!m) nrerror("allocation failure 1 in matrix()");    former routines in order to include the new code within the former code.
   m += NR_END;  
   m -= nrl;    The output is very simple: only an estimate of the intercept and of
     the slope with 95% confident intervals.
   m[nrl]=(double *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));  
   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");    Current limitations:
   m[nrl] += NR_END;    A) Even if you enter covariates, i.e. with the
   m[nrl] -= ncl;    model= V1+V2 equation for example, the programm does only estimate a unique global model without covariates.
     B) There is no computation of Life Expectancy nor Life Table.
   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;  
   return m;    Revision 1.97  2004/02/20 13:25:42  lievre
 }    Version 0.96d. Population forecasting command line is (temporarily)
     suppressed.
 /*************************free matrix ************************/  
 void free_matrix(double **m, long nrl, long nrh, long ncl, long nch)    Revision 1.96  2003/07/15 15:38:55  brouard
 {    * imach.c (Repository): Errors in subdirf, 2, 3 while printing tmpout is
   free((FREE_ARG)(m[nrl]+ncl-NR_END));    rewritten within the same printf. Workaround: many printfs.
   free((FREE_ARG)(m+nrl-NR_END));  
 }    Revision 1.95  2003/07/08 07:54:34  brouard
     * imach.c (Repository):
 /******************* ma3x *******************************/    (Repository): Using imachwizard code to output a more meaningful covariance
 double ***ma3x(long nrl, long nrh, long ncl, long nch, long nll, long nlh)    matrix (cov(a12,c31) instead of numbers.
 {  
   long i, j, nrow=nrh-nrl+1, ncol=nch-ncl+1, nlay=nlh-nll+1;    Revision 1.94  2003/06/27 13:00:02  brouard
   double ***m;    Just cleaning
   
   m=(double ***) malloc((size_t)((nrow+NR_END)*sizeof(double*)));    Revision 1.93  2003/06/25 16:33:55  brouard
   if (!m) nrerror("allocation failure 1 in matrix()");    (Module): On windows (cygwin) function asctime_r doesn't
   m += NR_END;    exist so I changed back to asctime which exists.
   m -= nrl;    (Module): Version 0.96b
   
   m[nrl]=(double **) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));    Revision 1.92  2003/06/25 16:30:45  brouard
   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");    (Module): On windows (cygwin) function asctime_r doesn't
   m[nrl] += NR_END;    exist so I changed back to asctime which exists.
   m[nrl] -= ncl;  
     Revision 1.91  2003/06/25 15:30:29  brouard
   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;    * imach.c (Repository): Duplicated warning errors corrected.
     (Repository): Elapsed time after each iteration is now output. It
   m[nrl][ncl]=(double *) malloc((size_t)((nrow*ncol*nlay+NR_END)*sizeof(double)));    helps to forecast when convergence will be reached. Elapsed time
   if (!m[nrl][ncl]) nrerror("allocation failure 3 in matrix()");    is stamped in powell.  We created a new html file for the graphs
   m[nrl][ncl] += NR_END;    concerning matrix of covariance. It has extension -cov.htm.
   m[nrl][ncl] -= nll;  
   for (j=ncl+1; j<=nch; j++)    Revision 1.90  2003/06/24 12:34:15  brouard
     m[nrl][j]=m[nrl][j-1]+nlay;    (Module): Some bugs corrected for windows. Also, when
      mle=-1 a template is output in file "or"mypar.txt with the design
   for (i=nrl+1; i<=nrh; i++) {    of the covariance matrix to be input.
     m[i][ncl]=m[i-1l][ncl]+ncol*nlay;  
     for (j=ncl+1; j<=nch; j++)    Revision 1.89  2003/06/24 12:30:52  brouard
       m[i][j]=m[i][j-1]+nlay;    (Module): Some bugs corrected for windows. Also, when
   }    mle=-1 a template is output in file "or"mypar.txt with the design
   return m;    of the covariance matrix to be input.
 }  
     Revision 1.88  2003/06/23 17:54:56  brouard
 /*************************free ma3x ************************/    * 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.
 void free_ma3x(double ***m, long nrl, long nrh, long ncl, long nch,long nll, long nlh)  
 {    Revision 1.87  2003/06/18 12:26:01  brouard
   free((FREE_ARG)(m[nrl][ncl]+ nll-NR_END));    Version 0.96
   free((FREE_ARG)(m[nrl]+ncl-NR_END));  
   free((FREE_ARG)(m+nrl-NR_END));    Revision 1.86  2003/06/17 20:04:08  brouard
 }    (Module): Change position of html and gnuplot routines and added
     routine fileappend.
 /***************** f1dim *************************/  
 extern int ncom;    Revision 1.85  2003/06/17 13:12:43  brouard
 extern double *pcom,*xicom;    * imach.c (Repository): Check when date of death was earlier that
 extern double (*nrfunc)(double []);    current date of interview. It may happen when the death was just
      prior to the death. In this case, dh was negative and likelihood
 double f1dim(double x)    was wrong (infinity). We still send an "Error" but patch by
 {    assuming that the date of death was just one stepm after the
   int j;    interview.
   double f;    (Repository): Because some people have very long ID (first column)
   double *xt;    we changed int to long in num[] and we added a new lvector for
      memory allocation. But we also truncated to 8 characters (left
   xt=vector(1,ncom);    truncation)
   for (j=1;j<=ncom;j++) xt[j]=pcom[j]+x*xicom[j];    (Repository): No more line truncation errors.
   f=(*nrfunc)(xt);  
   free_vector(xt,1,ncom);    Revision 1.84  2003/06/13 21:44:43  brouard
   return f;    * imach.c (Repository): Replace "freqsummary" at a correct
 }    place. It differs from routine "prevalence" which may be called
     many times. Probs is memory consuming and must be used with
 /*****************brent *************************/    parcimony.
 double brent(double ax, double bx, double cx, double (*f)(double), double tol,  double *xmin)    Version 0.95a3 (should output exactly the same maximization than 0.8a2)
 {  
   int iter;    Revision 1.83  2003/06/10 13:39:11  lievre
   double a,b,d,etemp;    *** empty log message ***
   double fu,fv,fw,fx;  
   double ftemp;    Revision 1.82  2003/06/05 15:57:20  brouard
   double p,q,r,tol1,tol2,u,v,w,x,xm;    Add log in  imach.c and  fullversion number is now printed.
   double e=0.0;  
    */
   a=(ax < cx ? ax : cx);  /*
   b=(ax > cx ? ax : cx);     Interpolated Markov Chain
   x=w=v=bx;  
   fw=fv=fx=(*f)(x);    Short summary of the programme:
   for (iter=1;iter<=ITMAX;iter++) {    
     xm=0.5*(a+b);    This program computes Healthy Life Expectancies from
     tol2=2.0*(tol1=tol*fabs(x)+ZEPS);    cross-longitudinal data. Cross-longitudinal data consist in: -1- a
     /*          if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret)))*/    first survey ("cross") where individuals from different ages are
     printf(".");fflush(stdout);    interviewed on their health status or degree of disability (in the
 #ifdef DEBUG    case of a health survey which is our main interest) -2- at least a
     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);    second wave of interviews ("longitudinal") which measure each change
     /*          if ((fabs(x-xm) <= (tol2-0.5*(b-a)))||(2.0*fabs(fu-ftemp) <= ftol*1.e-2*(fabs(fu)+fabs(ftemp)))) { */    (if any) in individual health status.  Health expectancies are
 #endif    computed from the time spent in each health state according to a
     if (fabs(x-xm) <= (tol2-0.5*(b-a))){    model. More health states you consider, more time is necessary to reach the
       *xmin=x;    Maximum Likelihood of the parameters involved in the model.  The
       return fx;    simplest model is the multinomial logistic model where pij is the
     }    probability to be observed in state j at the second wave
     ftemp=fu;    conditional to be observed in state i at the first wave. Therefore
     if (fabs(e) > tol1) {    the model is: log(pij/pii)= aij + bij*age+ cij*sex + etc , where
       r=(x-w)*(fx-fv);    'age' is age and 'sex' is a covariate. If you want to have a more
       q=(x-v)*(fx-fw);    complex model than "constant and age", you should modify the program
       p=(x-v)*q-(x-w)*r;    where the markup *Covariates have to be included here again* invites
       q=2.0*(q-r);    you to do it.  More covariates you add, slower the
       if (q > 0.0) p = -p;    convergence.
       q=fabs(q);  
       etemp=e;    The advantage of this computer programme, compared to a simple
       e=d;    multinomial logistic model, is clear when the delay between waves is not
       if (fabs(p) >= fabs(0.5*q*etemp) || p <= q*(a-x) || p >= q*(b-x))    identical for each individual. Also, if a individual missed an
         d=CGOLD*(e=(x >= xm ? a-x : b-x));    intermediate interview, the information is lost, but taken into
       else {    account using an interpolation or extrapolation.  
         d=p/q;  
         u=x+d;    hPijx is the probability to be observed in state i at age x+h
         if (u-a < tol2 || b-u < tol2)    conditional to the observed state i at age x. The delay 'h' can be
           d=SIGN(tol1,xm-x);    split into an exact number (nh*stepm) of unobserved intermediate
       }    states. This elementary transition (by month, quarter,
     } else {    semester or year) is modelled as a multinomial logistic.  The hPx
       d=CGOLD*(e=(x >= xm ? a-x : b-x));    matrix is simply the matrix product of nh*stepm elementary matrices
     }    and the contribution of each individual to the likelihood is simply
     u=(fabs(d) >= tol1 ? x+d : x+SIGN(tol1,d));    hPijx.
     fu=(*f)(u);  
     if (fu <= fx) {    Also this programme outputs the covariance matrix of the parameters but also
       if (u >= x) a=x; else b=x;    of the life expectancies. It also computes the period (stable) prevalence. 
       SHFT(v,w,x,u)    
         SHFT(fv,fw,fx,fu)    Authors: Nicolas Brouard (brouard@ined.fr) and Agnès Lièvre (lievre@ined.fr).
         } else {             Institut national d'études démographiques, Paris.
           if (u < x) a=u; else b=u;    This software have been partly granted by Euro-REVES, a concerted action
           if (fu <= fw || w == x) {    from the European Union.
             v=w;    It is copyrighted identically to a GNU software product, ie programme and
             w=u;    software can be distributed freely for non commercial use. Latest version
             fv=fw;    can be accessed at http://euroreves.ined.fr/imach .
             fw=fu;  
           } else if (fu <= fv || v == x || v == w) {    Help to debug: LD_PRELOAD=/usr/local/lib/libnjamd.so ./imach foo.imach
             v=u;    or better on gdb : set env LD_PRELOAD=/usr/local/lib/libnjamd.so
             fv=fu;    
           }    **********************************************************************/
         }  /*
   }    main
   nrerror("Too many iterations in brent");    read parameterfile
   *xmin=x;    read datafile
   return fx;    concatwav
 }    freqsummary
     if (mle >= 1)
 /****************** mnbrak ***********************/      mlikeli
     print results files
 void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, double *fc,    if mle==1 
             double (*func)(double))       computes hessian
 {    read end of parameter file: agemin, agemax, bage, fage, estepm
   double ulim,u,r,q, dum;        begin-prev-date,...
   double fu;    open gnuplot file
      open html file
   *fa=(*func)(*ax);    period (stable) prevalence      | pl_nom    1-1 2-2 etc by covariate
   *fb=(*func)(*bx);     for age prevalim()             | #****** V1=0  V2=1  V3=1  V4=0 ******
   if (*fb > *fa) {                                    | 65 1 0 2 1 3 1 4 0  0.96326 0.03674
     SHFT(dum,*ax,*bx,dum)      freexexit2 possible for memory heap.
       SHFT(dum,*fb,*fa,dum)  
       }    h Pij x                         | pij_nom  ficrestpij
   *cx=(*bx)+GOLD*(*bx-*ax);     # Cov Agex agex+h hpijx with i,j= 1-1 1-2     1-3     2-1     2-2     2-3
   *fc=(*func)(*cx);         1  85   85    1.00000             0.00000 0.00000 0.00000 1.00000 0.00000
   while (*fb > *fc) {         1  85   86    0.68299             0.22291 0.09410 0.71093 0.00000 0.28907
     r=(*bx-*ax)*(*fb-*fc);  
     q=(*bx-*cx)*(*fb-*fa);         1  65   99    0.00364             0.00322 0.99314 0.00350 0.00310 0.99340
     u=(*bx)-((*bx-*cx)*q-(*bx-*ax)*r)/         1  65  100    0.00214             0.00204 0.99581 0.00206 0.00196 0.99597
       (2.0*SIGN(FMAX(fabs(q-r),TINY),q-r));    variance of p one-step probabilities varprob  | prob_nom   ficresprob #One-step probabilities and stand. devi in ()
     ulim=(*bx)+GLIMIT*(*cx-*bx);     Standard deviation of one-step probabilities | probcor_nom   ficresprobcor #One-step probabilities and correlation matrix
     if ((*bx-u)*(u-*cx) > 0.0) {     Matrix of variance covariance of one-step probabilities |  probcov_nom ficresprobcov #One-step probabilities and covariance matrix
       fu=(*func)(u);  
     } else if ((*cx-u)*(u-ulim) > 0.0) {    forecasting if prevfcast==1 prevforecast call prevalence()
       fu=(*func)(u);    health expectancies
       if (fu < *fc) {    Variance-covariance of DFLE
         SHFT(*bx,*cx,u,*cx+GOLD*(*cx-*bx))    prevalence()
           SHFT(*fb,*fc,fu,(*func)(u))     movingaverage()
           }    varevsij() 
     } else if ((u-ulim)*(ulim-*cx) >= 0.0) {    if popbased==1 varevsij(,popbased)
       u=ulim;    total life expectancies
       fu=(*func)(u);    Variance of period (stable) prevalence
     } else {   end
       u=(*cx)+GOLD*(*cx-*bx);  */
       fu=(*func)(u);  
     }  
     SHFT(*ax,*bx,*cx,u)  
       SHFT(*fa,*fb,*fc,fu)   
       }  #include <math.h>
 }  #include <stdio.h>
   #include <stdlib.h>
 /*************** linmin ************************/  #include <string.h>
   #include <unistd.h>
 int ncom;  
 double *pcom,*xicom;  #include <limits.h>
 double (*nrfunc)(double []);  #include <sys/types.h>
    #include <sys/stat.h>
 void linmin(double p[], double xi[], int n, double *fret,double (*func)(double []))  #include <errno.h>
 {  extern int errno;
   double brent(double ax, double bx, double cx,  
                double (*f)(double), double tol, double *xmin);  #ifdef LINUX
   double f1dim(double x);  #include <time.h>
   void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb,  #include "timeval.h"
               double *fc, double (*func)(double));  #else
   int j;  #include <sys/time.h>
   double xx,xmin,bx,ax;  #endif
   double fx,fb,fa;  
    #ifdef GSL
   ncom=n;  #include <gsl/gsl_errno.h>
   pcom=vector(1,n);  #include <gsl/gsl_multimin.h>
   xicom=vector(1,n);  #endif
   nrfunc=func;  
   for (j=1;j<=n;j++) {  /* #include <libintl.h> */
     pcom[j]=p[j];  /* #define _(String) gettext (String) */
     xicom[j]=xi[j];  
   }  #define MAXLINE 1024 /* Was 256. Overflow with 312 with 2 states and 4 covariates. Should be ok */
   ax=0.0;  
   xx=1.0;  #define GNUPLOTPROGRAM "gnuplot"
   mnbrak(&ax,&xx,&bx,&fa,&fx,&fb,f1dim);  /*#define GNUPLOTPROGRAM "..\\gp37mgw\\wgnuplot"*/
   *fret=brent(ax,xx,bx,f1dim,TOL,&xmin);  #define FILENAMELENGTH 132
 #ifdef DEBUG  
   printf("retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);  #define GLOCK_ERROR_NOPATH              -1      /* empty path */
 #endif  #define GLOCK_ERROR_GETCWD              -2      /* cannot get cwd */
   for (j=1;j<=n;j++) {  
     xi[j] *= xmin;  #define MAXPARM 128 /**< Maximum number of parameters for the optimization */
     p[j] += xi[j];  #define NPARMAX 64 /**< (nlstate+ndeath-1)*nlstate*ncovmodel */
   }  
   free_vector(xicom,1,n);  #define NINTERVMAX 8
   free_vector(pcom,1,n);  #define NLSTATEMAX 8 /**< Maximum number of live states (for func) */
 }  #define NDEATHMAX 8 /**< Maximum number of dead states (for func) */
   #define NCOVMAX 20 /**< Maximum number of covariates, including generated covariates V1*V2 */
 /*************** powell ************************/  #define codtabm(h,k)  1 & (h-1) >> (k-1) ;
 void powell(double p[], double **xi, int n, double ftol, int *iter, double *fret,  #define MAXN 20000
             double (*func)(double []))  #define YEARM 12. /**< Number of months per year */
 {  #define AGESUP 130
   void linmin(double p[], double xi[], int n, double *fret,  #define AGEBASE 40
               double (*func)(double []));  #define AGEGOMP 10. /**< Minimal age for Gompertz adjustment */
   int i,ibig,j;  #ifdef UNIX
   double del,t,*pt,*ptt,*xit;  #define DIRSEPARATOR '/'
   double fp,fptt;  #define CHARSEPARATOR "/"
   double *xits;  #define ODIRSEPARATOR '\\'
   pt=vector(1,n);  #else
   ptt=vector(1,n);  #define DIRSEPARATOR '\\'
   xit=vector(1,n);  #define CHARSEPARATOR "\\"
   xits=vector(1,n);  #define ODIRSEPARATOR '/'
   *fret=(*func)(p);  #endif
   for (j=1;j<=n;j++) pt[j]=p[j];  
   for (*iter=1;;++(*iter)) {  /* $Id$ */
     fp=(*fret);  /* $State$ */
     ibig=0;  
     del=0.0;  char version[]="Imach version 0.98nU, January 2014,INED-EUROREVES-Institut de longevite-Japan Society for the Promotion of Science (Grant-in-Aid for Scientific Research 25293121)";
     printf("\nPowell iter=%d -2*LL=%.12f",*iter,*fret);  char fullversion[]="$Revision$ $Date$"; 
     for (i=1;i<=n;i++)  char strstart[80];
       printf(" %d %.12f",i, p[i]);  char optionfilext[10], optionfilefiname[FILENAMELENGTH];
     printf("\n");  int erreur=0, nberr=0, nbwarn=0; /* Error number, number of errors number of warnings  */
     for (i=1;i<=n;i++) {  int nvar=0, nforce=0; /* Number of variables, number of forces */
       for (j=1;j<=n;j++) xit[j]=xi[j][i];  /* Number of covariates model=V2+V1+ V3*age+V2*V4 */
       fptt=(*fret);  int cptcovn=0; /**< cptcovn number of covariates added in the model (excepting constant and age and age*product) */
 #ifdef DEBUG  int cptcovt=0; /**< cptcovt number of covariates added in the model (excepting constant and age) */
       printf("fret=%lf \n",*fret);  int cptcovs=0; /**< cptcovs number of simple covariates V2+V1 =2 */
 #endif  int cptcovage=0; /**< Number of covariates with age: V3*age only =1 */
       printf("%d",i);fflush(stdout);  int cptcovprodnoage=0; /**< Number of covariate products without age */   
       linmin(p,xit,n,fret,func);  int cptcoveff=0; /* Total number of covariates to vary for printing results */
       if (fabs(fptt-(*fret)) > del) {  int cptcov=0; /* Working variable */
         del=fabs(fptt-(*fret));  int npar=NPARMAX;
         ibig=i;  int nlstate=2; /* Number of live states */
       }  int ndeath=1; /* Number of dead states */
 #ifdef DEBUG  int ncovmodel=0, ncovcol=0;     /* Total number of covariables including constant a12*1 +b12*x ncovmodel=2 */
       printf("%d %.12e",i,(*fret));  int popbased=0;
       for (j=1;j<=n;j++) {  
         xits[j]=FMAX(fabs(p[j]-pt[j]),1.e-5);  int *wav; /* Number of waves for this individuual 0 is possible */
         printf(" x(%d)=%.12e",j,xit[j]);  int maxwav=0; /* Maxim number of waves */
       }  int jmin=0, jmax=0; /* min, max spacing between 2 waves */
       for(j=1;j<=n;j++)  int ijmin=0, ijmax=0; /* Individuals having jmin and jmax */ 
         printf(" p=%.12e",p[j]);  int gipmx=0, gsw=0; /* Global variables on the number of contributions 
       printf("\n");                     to the likelihood and the sum of weights (done by funcone)*/
 #endif  int mle=1, weightopt=0;
     }  int **mw; /* mw[mi][i] is number of the mi wave for this individual */
     if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret))) {  int **dh; /* dh[mi][i] is number of steps between mi,mi+1 for this individual */
 #ifdef DEBUG  int **bh; /* bh[mi][i] is the bias (+ or -) for this individual if the delay between
       int k[2],l;             * wave mi and wave mi+1 is not an exact multiple of stepm. */
       k[0]=1;  double jmean=1; /* Mean space between 2 waves */
       k[1]=-1;  double **matprod2(); /* test */
       printf("Max: %.12e",(*func)(p));  double **oldm, **newm, **savm; /* Working pointers to matrices */
       for (j=1;j<=n;j++)  double **oldms, **newms, **savms; /* Fixed working pointers to matrices */
         printf(" %.12e",p[j]);  /*FILE *fic ; */ /* Used in readdata only */
       printf("\n");  FILE *ficpar, *ficparo,*ficres, *ficresp, *ficrespl, *ficrespij, *ficrest,*ficresf,*ficrespop;
       for(l=0;l<=1;l++) {  FILE *ficlog, *ficrespow;
         for (j=1;j<=n;j++) {  int globpr=0; /* Global variable for printing or not */
           ptt[j]=p[j]+(p[j]-pt[j])*k[l];  double fretone; /* Only one call to likelihood */
           printf("l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);  long ipmx=0; /* Number of contributions */
         }  double sw; /* Sum of weights */
         printf("func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));  char filerespow[FILENAMELENGTH];
       }  char fileresilk[FILENAMELENGTH]; /* File of individual contributions to the likelihood */
 #endif  FILE *ficresilk;
   FILE *ficgp,*ficresprob,*ficpop, *ficresprobcov, *ficresprobcor;
   FILE *ficresprobmorprev;
       free_vector(xit,1,n);  FILE *fichtm, *fichtmcov; /* Html File */
       free_vector(xits,1,n);  FILE *ficreseij;
       free_vector(ptt,1,n);  char filerese[FILENAMELENGTH];
       free_vector(pt,1,n);  FILE *ficresstdeij;
       return;  char fileresstde[FILENAMELENGTH];
     }  FILE *ficrescveij;
     if (*iter == ITMAX) nrerror("powell exceeding maximum iterations.");  char filerescve[FILENAMELENGTH];
     for (j=1;j<=n;j++) {  FILE  *ficresvij;
       ptt[j]=2.0*p[j]-pt[j];  char fileresv[FILENAMELENGTH];
       xit[j]=p[j]-pt[j];  FILE  *ficresvpl;
       pt[j]=p[j];  char fileresvpl[FILENAMELENGTH];
     }  char title[MAXLINE];
     fptt=(*func)(ptt);  char optionfile[FILENAMELENGTH], datafile[FILENAMELENGTH],  filerespl[FILENAMELENGTH];
     if (fptt < fp) {  char plotcmd[FILENAMELENGTH], pplotcmd[FILENAMELENGTH];
       t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)-del*SQR(fp-fptt);  char tmpout[FILENAMELENGTH],  tmpout2[FILENAMELENGTH]; 
       if (t < 0.0) {  char command[FILENAMELENGTH];
         linmin(p,xit,n,fret,func);  int  outcmd=0;
         for (j=1;j<=n;j++) {  
           xi[j][ibig]=xi[j][n];  char fileres[FILENAMELENGTH], filerespij[FILENAMELENGTH], filereso[FILENAMELENGTH], rfileres[FILENAMELENGTH];
           xi[j][n]=xit[j];  
         }  char filelog[FILENAMELENGTH]; /* Log file */
 #ifdef DEBUG  char filerest[FILENAMELENGTH];
         printf("Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);  char fileregp[FILENAMELENGTH];
         for(j=1;j<=n;j++)  char popfile[FILENAMELENGTH];
           printf(" %.12e",xit[j]);  
         printf("\n");  char optionfilegnuplot[FILENAMELENGTH], optionfilehtm[FILENAMELENGTH], optionfilehtmcov[FILENAMELENGTH] ;
 #endif  
       }  struct timeval start_time, end_time, curr_time, last_time, forecast_time;
     }  struct timezone tzp;
   }  extern int gettimeofday();
 }  struct tm tmg, tm, tmf, *gmtime(), *localtime();
   long time_value;
 /**** Prevalence limit ****************/  extern long time();
   char strcurr[80], strfor[80];
 double **prevalim(double **prlim, int nlstate, double x[], double age, double **oldm, double **savm, double ftolpl, int ij)  
 {  char *endptr;
   /* Computes the prevalence limit in each live state at age x by left multiplying the unit  long lval;
      matrix by transitions matrix until convergence is reached */  double dval;
   
   int i, ii,j,k;  #define NR_END 1
   double min, max, maxmin, maxmax,sumnew=0.;  #define FREE_ARG char*
   double **matprod2();  #define FTOL 1.0e-10
   double **out, cov[NCOVMAX], **pmij();  
   double **newm;  #define NRANSI 
   double agefin, delaymax=50 ; /* Max number of years to converge */  #define ITMAX 200 
   
   for (ii=1;ii<=nlstate+ndeath;ii++)  #define TOL 2.0e-4 
     for (j=1;j<=nlstate+ndeath;j++){  
       oldm[ii][j]=(ii==j ? 1.0 : 0.0);  #define CGOLD 0.3819660 
     }  #define ZEPS 1.0e-10 
   /* Even if hstepm = 1, at least one multiplication by the unit matrix */  #define SHFT(a,b,c,d) (a)=(b);(b)=(c);(c)=(d); 
   for(agefin=age-stepm/YEARM; agefin>=age-delaymax; agefin=agefin-stepm/YEARM){  
     newm=savm;  #define GOLD 1.618034 
     /* Covariates have to be included here again */  #define GLIMIT 100.0 
     cov[1]=1.;  #define TINY 1.0e-20 
     cov[2]=agefin;  
     if (cptcovn>0){  static double maxarg1,maxarg2;
       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]]);*/}  #define FMAX(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)>(maxarg2)? (maxarg1):(maxarg2))
     }  #define FMIN(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)<(maxarg2)? (maxarg1):(maxarg2))
     out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm);    
   #define SIGN(a,b) ((b)>0.0 ? fabs(a) : -fabs(a))
     savm=oldm;  #define rint(a) floor(a+0.5)
     oldm=newm;  
     maxmax=0.;  static double sqrarg;
     for(j=1;j<=nlstate;j++){  #define SQR(a) ((sqrarg=(a)) == 0.0 ? 0.0 :sqrarg*sqrarg)
       min=1.;  #define SWAP(a,b) {temp=(a);(a)=(b);(b)=temp;} 
       max=0.;  int agegomp= AGEGOMP;
       for(i=1; i<=nlstate; i++) {  
         sumnew=0;  int imx; 
         for(k=1; k<=ndeath; k++) sumnew+=newm[i][nlstate+k];  int stepm=1;
         prlim[i][j]= newm[i][j]/(1-sumnew);  /* Stepm, step in month: minimum step interpolation*/
         max=FMAX(max,prlim[i][j]);  
         min=FMIN(min,prlim[i][j]);  int estepm;
       }  /* Estepm, step in month to interpolate survival function in order to approximate Life Expectancy*/
       maxmin=max-min;  
       maxmax=FMAX(maxmax,maxmin);  int m,nb;
     }  long *num;
     if(maxmax < ftolpl){  int firstpass=0, lastpass=4,*cod, *ncodemax, *Tage,*cens;
       return prlim;  double **agev,*moisnais, *annais, *moisdc, *andc,**mint, **anint;
     }  double **pmmij, ***probs;
   }  double *ageexmed,*agecens;
 }  double dateintmean=0;
   
 /*************** transition probabilities **********/  double *weight;
   int **s; /* Status */
 double **pmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )  double *agedc;
 {  double  **covar; /**< covar[j,i], value of jth covariate for individual i,
   double s1, s2;                    * covar=matrix(0,NCOVMAX,1,n); 
   /*double t34;*/                    * cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2]; */
   int i,j,j1, nc, ii, jj;  double  idx; 
   int **nbcode, *Tvar; /**< model=V2 => Tvar[1]= 2 */
     for(i=1; i<= nlstate; i++){  int *Ndum; /** Freq of modality (tricode */
     for(j=1; j<i;j++){  int **codtab; /**< codtab=imatrix(1,100,1,10); */
       for (nc=1, s2=0.;nc <=ncovmodel; nc++){  int **Tvard, *Tprod, cptcovprod, *Tvaraff;
         /*s2 += param[i][j][nc]*cov[nc];*/  double *lsurv, *lpop, *tpop;
         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);*/  double ftol=FTOL; /**< Tolerance for computing Max Likelihood */
       }  double ftolhess; /**< Tolerance for computing hessian */
       ps[i][j]=s2;  
       /*printf("s1=%.17e, s2=%.17e\n",s1,s2);*/  /**************** split *************************/
     }  static  int split( char *path, char *dirc, char *name, char *ext, char *finame )
     for(j=i+1; j<=nlstate+ndeath;j++){  {
       for (nc=1, s2=0.;nc <=ncovmodel; nc++){    /* From a file name with (full) path (either Unix or Windows) we extract the directory (dirc)
         s2 += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];       the name of the file (name), its extension only (ext) and its first part of the name (finame)
         /*printf("Int j>i s1=%.17e, s2=%.17e %lx %lx\n",s1,s2,s1,s2);*/    */ 
       }    char  *ss;                            /* pointer */
       ps[i][j]=s2;    int   l1, l2;                         /* length counters */
     }  
   }    l1 = strlen(path );                   /* length of path */
   for(i=1; i<= nlstate; i++){    if ( l1 == 0 ) return( GLOCK_ERROR_NOPATH );
      s1=0;    ss= strrchr( path, DIRSEPARATOR );            /* find last / */
     for(j=1; j<i; j++)    if ( ss == NULL ) {                   /* no directory, so determine current directory */
       s1+=exp(ps[i][j]);      strcpy( name, path );               /* we got the fullname name because no directory */
     for(j=i+1; j<=nlstate+ndeath; j++)      /*if(strrchr(path, ODIRSEPARATOR )==NULL)
       s1+=exp(ps[i][j]);        printf("Warning you should use %s as a separator\n",DIRSEPARATOR);*/
     ps[i][i]=1./(s1+1.);      /* get current working directory */
     for(j=1; j<i; j++)      /*    extern  char* getcwd ( char *buf , int len);*/
       ps[i][j]= exp(ps[i][j])*ps[i][i];      if ( getcwd( dirc, FILENAME_MAX ) == NULL ) {
     for(j=i+1; j<=nlstate+ndeath; j++)        return( GLOCK_ERROR_GETCWD );
       ps[i][j]= exp(ps[i][j])*ps[i][i];      }
     /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */      /* got dirc from getcwd*/
   } /* end i */      printf(" DIRC = %s \n",dirc);
     } else {                              /* strip direcotry from path */
   for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){      ss++;                               /* after this, the filename */
     for(jj=1; jj<= nlstate+ndeath; jj++){      l2 = strlen( ss );                  /* length of filename */
       ps[ii][jj]=0;      if ( l2 == 0 ) return( GLOCK_ERROR_NOPATH );
       ps[ii][ii]=1;      strcpy( name, ss );         /* save file name */
     }      strncpy( dirc, path, l1 - l2 );     /* now the directory */
   }      dirc[l1-l2] = 0;                    /* add zero */
       printf(" DIRC2 = %s \n",dirc);
   /*   for(ii=1; ii<= nlstate+ndeath; ii++){    }
     for(jj=1; jj<= nlstate+ndeath; jj++){    /* We add a separator at the end of dirc if not exists */
      printf("%lf ",ps[ii][jj]);    l1 = strlen( dirc );                  /* length of directory */
    }    if( dirc[l1-1] != DIRSEPARATOR ){
     printf("\n ");      dirc[l1] =  DIRSEPARATOR;
     }      dirc[l1+1] = 0; 
     printf("\n ");printf("%lf ",cov[2]);*/      printf(" DIRC3 = %s \n",dirc);
 /*    }
   for(i=1; i<= npar; i++) printf("%f ",x[i]);    ss = strrchr( name, '.' );            /* find last / */
   goto end;*/    if (ss >0){
     return ps;      ss++;
 }      strcpy(ext,ss);                     /* save extension */
       l1= strlen( name);
 /**************** Product of 2 matrices ******************/      l2= strlen(ss)+1;
       strncpy( finame, name, l1-l2);
 double **matprod2(double **out, double **in,long nrl, long nrh, long ncl, long nch, long ncolol, long ncoloh, double **b)      finame[l1-l2]= 0;
 {    }
   /* Computes the matric product of in(1,nrh-nrl+1)(1,nch-ncl+1) times  
      b(1,nch-ncl+1)(1,ncoloh-ncolol+1) into out(...) */    return( 0 );                          /* we're done */
   /* in, b, out are matrice of pointers which should have been initialized  }
      before: only the contents of out is modified. The function returns  
      a pointer to pointers identical to out */  
   long i, j, k;  /******************************************/
   for(i=nrl; i<= nrh; i++)  
     for(k=ncolol; k<=ncoloh; k++)  void replace_back_to_slash(char *s, char*t)
       for(j=ncl,out[i][k]=0.; j<=nch; j++)  {
         out[i][k] +=in[i][j]*b[j][k];    int i;
     int lg=0;
   return out;    i=0;
 }    lg=strlen(t);
     for(i=0; i<= lg; i++) {
       (s[i] = t[i]);
 /************* Higher Matrix Product ***************/      if (t[i]== '\\') s[i]='/';
     }
 double ***hpxij(double ***po, int nhstepm, double age, int hstepm, double *x, int nlstate, int stepm, double **oldm, double **savm, int ij )  }
 {  
   /* Computes the transition matrix starting at age 'age' over 'nhstepm*hstepm*stepm' month  char *trimbb(char *out, char *in)
      duration (i.e. until  { /* Trim multiple blanks in line but keeps first blanks if line starts with blanks */
      age (in years)  age+nhstepm*stepm/12) by multiplying nhstepm*hstepm matrices.    char *s;
      Output is stored in matrix po[i][j][h] for h every 'hstepm' step    s=out;
      (typically every 2 years instead of every month which is too big).    while (*in != '\0'){
      Model is determined by parameters x and covariates have to be      while( *in == ' ' && *(in+1) == ' '){ /* && *(in+1) != '\0'){*/
      included manually here.        in++;
       }
      */      *out++ = *in++;
     }
   int i, j, d, h, k;    *out='\0';
   double **out, cov[NCOVMAX];    return s;
   double **newm;  }
   
   /* Hstepm could be zero and should return the unit matrix */  char *cutl(char *blocc, char *alocc, char *in, char occ)
   for (i=1;i<=nlstate+ndeath;i++)  {
     for (j=1;j<=nlstate+ndeath;j++){    /* cuts string in into blocc and alocc where blocc ends before first occurence of char 'occ' 
       oldm[i][j]=(i==j ? 1.0 : 0.0);       and alocc starts after first occurence of char 'occ' : ex cutv(blocc,alocc,"abcdef2ghi2j",'2')
       po[i][j][0]=(i==j ? 1.0 : 0.0);       gives blocc="abcdef2ghi" and alocc="j".
     }       If occ is not found blocc is null and alocc is equal to in. Returns blocc
   /* Even if hstepm = 1, at least one multiplication by the unit matrix */    */
   for(h=1; h <=nhstepm; h++){    char *s, *t, *bl;
     for(d=1; d <=hstepm; d++){    t=in;s=in;
       newm=savm;    while ((*in != occ) && (*in != '\0')){
       /* Covariates have to be included here again */      *alocc++ = *in++;
       cov[1]=1.;    }
       cov[2]=age+((h-1)*hstepm + (d-1))*stepm/YEARM;    if( *in == occ){
       if (cptcovn>0){      *(alocc)='\0';
       for (k=1; k<=cptcovn;k++) cov[2+k]=nbcode[Tvar[k]][codtab[ij][k]];      s=++in;
     }    }
       /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/   
       /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/    if (s == t) {/* occ not found */
       out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath,      *(alocc-(in-s))='\0';
                    pmij(pmmij,cov,ncovmodel,x,nlstate));      in=s;
       savm=oldm;    }
       oldm=newm;    while ( *in != '\0'){
     }      *blocc++ = *in++;
     for(i=1; i<=nlstate+ndeath; i++)    }
       for(j=1;j<=nlstate+ndeath;j++) {  
         po[i][j][h]=newm[i][j];    *blocc='\0';
         /*printf("i=%d j=%d h=%d po[i][j][h]=%f ",i,j,h,po[i][j][h]);    return t;
          */  }
       }  char *cutv(char *blocc, char *alocc, char *in, char occ)
   } /* end h */  {
   return po;    /* cuts string in into blocc and alocc where blocc ends before last occurence of char 'occ' 
 }       and alocc starts after last occurence of char 'occ' : ex cutv(blocc,alocc,"abcdef2ghi2j",'2')
        gives blocc="abcdef2ghi" and alocc="j".
        If occ is not found blocc is null and alocc is equal to in. Returns alocc
 /*************** log-likelihood *************/    */
 double func( double *x)    char *s, *t;
 {    t=in;s=in;
   int i, ii, j, k, mi, d;    while (*in != '\0'){
   double l, ll[NLSTATEMAX], cov[NCOVMAX];      while( *in == occ){
   double **out;        *blocc++ = *in++;
   double sw; /* Sum of weights */        s=in;
   double lli; /* Individual log likelihood */      }
   long ipmx;      *blocc++ = *in++;
   /*extern weight */    }
   /* We are differentiating ll according to initial status */    if (s == t) /* occ not found */
   /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/      *(blocc-(in-s))='\0';
   /*for(i=1;i<imx;i++)    else
 printf(" %d\n",s[4][i]);      *(blocc-(in-s)-1)='\0';
   */    in=s;
     while ( *in != '\0'){
   for(k=1; k<=nlstate; k++) ll[k]=0.;      *alocc++ = *in++;
   for (i=1,ipmx=0, sw=0.; i<=imx; i++){    }
        for(mi=1; mi<= wav[i]-1; mi++){  
       for (ii=1;ii<=nlstate+ndeath;ii++)    *alocc='\0';
         for (j=1;j<=nlstate+ndeath;j++) oldm[ii][j]=(ii==j ? 1.0 : 0.0);    return s;
             for(d=0; d<dh[mi][i]; d++){  }
         newm=savm;  
           cov[1]=1.;  int nbocc(char *s, char occ)
           cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;  {
           if (cptcovn>0){    int i,j=0;
             for (k=1; k<=cptcovn;k++) cov[2+k]=covar[1+k-1][i];    int lg=20;
             }    i=0;
           out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,    lg=strlen(s);
                        1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));    for(i=0; i<= lg; i++) {
           savm=oldm;    if  (s[i] == occ ) j++;
           oldm=newm;    }
     return j;
   }
       } /* end mult */  
      /* void cutv(char *u,char *v, char*t, char occ) */
       lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);  /* { */
       /* printf(" %f ",out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);*/  /*   /\* cuts string t into u and v where u ends before last occurence of char 'occ'  */
       ipmx +=1;  /*      and v starts after last occurence of char 'occ' : ex cutv(u,v,"abcdef2ghi2j",'2') */
       sw += weight[i];  /*      gives u="abcdef2ghi" and v="j" *\/ */
       ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;  /*   int i,lg,j,p=0; */
     } /* end of wave */  /*   i=0; */
   } /* end of individual */  /*   lg=strlen(t); */
   /*   for(j=0; j<=lg-1; j++) { */
   for(k=1,l=0.; k<=nlstate; k++) l += ll[k];  /*     if((t[j]!= occ) && (t[j+1]== occ)) p=j+1; */
   /* printf("l1=%f l2=%f ",ll[1],ll[2]); */  /*   } */
   l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */  
   return -l;  /*   for(j=0; j<p; j++) { */
 }  /*     (u[j] = t[j]); */
   /*   } */
   /*      u[p]='\0'; */
 /*********** Maximum Likelihood Estimation ***************/  
   /*    for(j=0; j<= lg; j++) { */
 void mlikeli(FILE *ficres,double p[], int npar, int ncovmodel, int nlstate, double ftol, double (*func)(double []))  /*     if (j>=(p+1))(v[j-p-1] = t[j]); */
 {  /*   } */
   int i,j, iter;  /* } */
   double **xi,*delti;  
   double fret;  /********************** nrerror ********************/
   xi=matrix(1,npar,1,npar);  
   for (i=1;i<=npar;i++)  void nrerror(char error_text[])
     for (j=1;j<=npar;j++)  {
       xi[i][j]=(i==j ? 1.0 : 0.0);    fprintf(stderr,"ERREUR ...\n");
   printf("Powell\n");    fprintf(stderr,"%s\n",error_text);
   powell(p,xi,npar,ftol,&iter,&fret,func);    exit(EXIT_FAILURE);
   }
    printf("\n#Number of iterations = %d, -2 Log likelihood = %.12f\n",iter,func(p));  /*********************** vector *******************/
   fprintf(ficres,"#Number of iterations = %d, -2 Log likelihood = %.12f ",iter,func(p));  double *vector(int nl, int nh)
   {
 }    double *v;
     v=(double *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(double)));
 /**** Computes Hessian and covariance matrix ***/    if (!v) nrerror("allocation failure in vector");
 void hesscov(double **matcov, double p[], int npar, double delti[], double ftolhess, double (*func)(double []))    return v-nl+NR_END;
 {  }
   double  **a,**y,*x,pd;  
   double **hess;  /************************ free vector ******************/
   int i, j,jk;  void free_vector(double*v, int nl, int nh)
   int *indx;  {
     free((FREE_ARG)(v+nl-NR_END));
   double hessii(double p[], double delta, int theta, double delti[]);  }
   double hessij(double p[], double delti[], int i, int j);  
   void lubksb(double **a, int npar, int *indx, double b[]) ;  /************************ivector *******************************/
   void ludcmp(double **a, int npar, int *indx, double *d) ;  int *ivector(long nl,long nh)
   {
     int *v;
   hess=matrix(1,npar,1,npar);    v=(int *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(int)));
     if (!v) nrerror("allocation failure in ivector");
   printf("\nCalculation of the hessian matrix. Wait...\n");    return v-nl+NR_END;
   for (i=1;i<=npar;i++){  }
     printf("%d",i);fflush(stdout);  
     hess[i][i]=hessii(p,ftolhess,i,delti);  /******************free ivector **************************/
     /*printf(" %f ",p[i]);*/  void free_ivector(int *v, long nl, long nh)
   }  {
     free((FREE_ARG)(v+nl-NR_END));
   for (i=1;i<=npar;i++) {  }
     for (j=1;j<=npar;j++)  {  
       if (j>i) {  /************************lvector *******************************/
         printf(".%d%d",i,j);fflush(stdout);  long *lvector(long nl,long nh)
         hess[i][j]=hessij(p,delti,i,j);  {
         hess[j][i]=hess[i][j];    long *v;
       }    v=(long *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(long)));
     }    if (!v) nrerror("allocation failure in ivector");
   }    return v-nl+NR_END;
   printf("\n");  }
   
   printf("\nInverting the hessian to get the covariance matrix. Wait...\n");  /******************free lvector **************************/
    void free_lvector(long *v, long nl, long nh)
   a=matrix(1,npar,1,npar);  {
   y=matrix(1,npar,1,npar);    free((FREE_ARG)(v+nl-NR_END));
   x=vector(1,npar);  }
   indx=ivector(1,npar);  
   for (i=1;i<=npar;i++)  /******************* imatrix *******************************/
     for (j=1;j<=npar;j++) a[i][j]=hess[i][j];  int **imatrix(long nrl, long nrh, long ncl, long nch) 
   ludcmp(a,npar,indx,&pd);       /* allocate a int matrix with subscript range m[nrl..nrh][ncl..nch] */ 
   { 
   for (j=1;j<=npar;j++) {    long i, nrow=nrh-nrl+1,ncol=nch-ncl+1; 
     for (i=1;i<=npar;i++) x[i]=0;    int **m; 
     x[j]=1;    
     lubksb(a,npar,indx,x);    /* allocate pointers to rows */ 
     for (i=1;i<=npar;i++){    m=(int **) malloc((size_t)((nrow+NR_END)*sizeof(int*))); 
       matcov[i][j]=x[i];    if (!m) nrerror("allocation failure 1 in matrix()"); 
     }    m += NR_END; 
   }    m -= nrl; 
     
   printf("\n#Hessian matrix#\n");    
   for (i=1;i<=npar;i++) {    /* allocate rows and set pointers to them */ 
     for (j=1;j<=npar;j++) {    m[nrl]=(int *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(int))); 
       printf("%.3e ",hess[i][j]);    if (!m[nrl]) nrerror("allocation failure 2 in matrix()"); 
     }    m[nrl] += NR_END; 
     printf("\n");    m[nrl] -= ncl; 
   }    
     for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol; 
   /* Recompute Inverse */    
   for (i=1;i<=npar;i++)    /* return pointer to array of pointers to rows */ 
     for (j=1;j<=npar;j++) a[i][j]=matcov[i][j];    return m; 
   ludcmp(a,npar,indx,&pd);  } 
   
   /*  printf("\n#Hessian matrix recomputed#\n");  /****************** free_imatrix *************************/
   void free_imatrix(m,nrl,nrh,ncl,nch)
   for (j=1;j<=npar;j++) {        int **m;
     for (i=1;i<=npar;i++) x[i]=0;        long nch,ncl,nrh,nrl; 
     x[j]=1;       /* free an int matrix allocated by imatrix() */ 
     lubksb(a,npar,indx,x);  { 
     for (i=1;i<=npar;i++){    free((FREE_ARG) (m[nrl]+ncl-NR_END)); 
       y[i][j]=x[i];    free((FREE_ARG) (m+nrl-NR_END)); 
       printf("%.3e ",y[i][j]);  } 
     }  
     printf("\n");  /******************* matrix *******************************/
   }  double **matrix(long nrl, long nrh, long ncl, long nch)
   */  {
     long i, nrow=nrh-nrl+1, ncol=nch-ncl+1;
   free_matrix(a,1,npar,1,npar);    double **m;
   free_matrix(y,1,npar,1,npar);  
   free_vector(x,1,npar);    m=(double **) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
   free_ivector(indx,1,npar);    if (!m) nrerror("allocation failure 1 in matrix()");
   free_matrix(hess,1,npar,1,npar);    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()");
 /*************** hessian matrix ****************/    m[nrl] += NR_END;
 double hessii( double x[], double delta, int theta, double delti[])    m[nrl] -= ncl;
 {  
   int i;    for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
   int l=1, lmax=20;    return m;
   double k1,k2;    /* print *(*(m+1)+70) or print m[1][70]; print m+1 or print &(m[1]) or &(m[1][0])
   double p2[NPARMAX+1];  m[i] = address of ith row of the table. &(m[i]) is its value which is another adress
   double res;  that of m[i][0]. In order to get the value p m[i][0] but it is unitialized.
   double delt, delts, nkhi=10.,nkhif=1., khi=1.e-4;     */
   double fx;  }
   int k=0,kmax=10;  
   double l1;  /*************************free matrix ************************/
   void free_matrix(double **m, long nrl, long nrh, long ncl, long nch)
   fx=func(x);  {
   for (i=1;i<=npar;i++) p2[i]=x[i];    free((FREE_ARG)(m[nrl]+ncl-NR_END));
   for(l=0 ; l <=lmax; l++){    free((FREE_ARG)(m+nrl-NR_END));
     l1=pow(10,l);  }
     delts=delt;  
     for(k=1 ; k <kmax; k=k+1){  /******************* ma3x *******************************/
       delt = delta*(l1*k);  double ***ma3x(long nrl, long nrh, long ncl, long nch, long nll, long nlh)
       p2[theta]=x[theta] +delt;  {
       k1=func(p2)-fx;    long i, j, nrow=nrh-nrl+1, ncol=nch-ncl+1, nlay=nlh-nll+1;
       p2[theta]=x[theta]-delt;    double ***m;
       k2=func(p2)-fx;  
       /*res= (k1-2.0*fx+k2)/delt/delt; */    m=(double ***) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
       res= (k1+k2)/delt/delt/2.; /* Divided by because L and not 2*L */    if (!m) nrerror("allocation failure 1 in matrix()");
          m += NR_END;
 #ifdef DEBUG    m -= nrl;
       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    m[nrl]=(double **) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
       /*if(fabs(k1-2.0*fx+k2) <1.e-13){ */    if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
       if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)){    m[nrl] += NR_END;
         k=kmax;    m[nrl] -= ncl;
       }  
       else if((k1 >khi/nkhif) || (k2 >khi/nkhif)){ /* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. */    for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
         k=kmax; l=lmax*10.;  
       }    m[nrl][ncl]=(double *) malloc((size_t)((nrow*ncol*nlay+NR_END)*sizeof(double)));
       else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){    if (!m[nrl][ncl]) nrerror("allocation failure 3 in matrix()");
         delts=delt;    m[nrl][ncl] += NR_END;
       }    m[nrl][ncl] -= nll;
     }    for (j=ncl+1; j<=nch; j++) 
   }      m[nrl][j]=m[nrl][j-1]+nlay;
   delti[theta]=delts;    
   return res;    for (i=nrl+1; i<=nrh; i++) {
        m[i][ncl]=m[i-1l][ncl]+ncol*nlay;
 }      for (j=ncl+1; j<=nch; j++) 
         m[i][j]=m[i][j-1]+nlay;
 double hessij( double x[], double delti[], int thetai,int thetaj)    }
 {    return m; 
   int i;    /*  gdb: p *(m+1) <=> p m[1] and p (m+1) <=> p (m+1) <=> p &(m[1])
   int l=1, l1, lmax=20;             &(m[i][j][k]) <=> *((*(m+i) + j)+k)
   double k1,k2,k3,k4,res,fx;    */
   double p2[NPARMAX+1];  }
   int k;  
   /*************************free ma3x ************************/
   fx=func(x);  void free_ma3x(double ***m, long nrl, long nrh, long ncl, long nch,long nll, long nlh)
   for (k=1; k<=2; k++) {  {
     for (i=1;i<=npar;i++) p2[i]=x[i];    free((FREE_ARG)(m[nrl][ncl]+ nll-NR_END));
     p2[thetai]=x[thetai]+delti[thetai]/k;    free((FREE_ARG)(m[nrl]+ncl-NR_END));
     p2[thetaj]=x[thetaj]+delti[thetaj]/k;    free((FREE_ARG)(m+nrl-NR_END));
     k1=func(p2)-fx;  }
    
     p2[thetai]=x[thetai]+delti[thetai]/k;  /*************** function subdirf ***********/
     p2[thetaj]=x[thetaj]-delti[thetaj]/k;  char *subdirf(char fileres[])
     k2=func(p2)-fx;  {
      /* Caution optionfilefiname is hidden */
     p2[thetai]=x[thetai]-delti[thetai]/k;    strcpy(tmpout,optionfilefiname);
     p2[thetaj]=x[thetaj]+delti[thetaj]/k;    strcat(tmpout,"/"); /* Add to the right */
     k3=func(p2)-fx;    strcat(tmpout,fileres);
      return tmpout;
     p2[thetai]=x[thetai]-delti[thetai]/k;  }
     p2[thetaj]=x[thetaj]-delti[thetaj]/k;  
     k4=func(p2)-fx;  /*************** function subdirf2 ***********/
     res=(k1-k2-k3+k4)/4.0/delti[thetai]*k/delti[thetaj]*k/2.; /* Because of L not 2*L */  char *subdirf2(char fileres[], char *preop)
 #ifdef DEBUG  {
     printf("%d %d k=%d, k1=%.12e k2=%.12e k3=%.12e k4=%.12e delti/k=%.12e deltj/k=%.12e, xi-de/k=%.12e xj-de/k=%.12e  res=%.12e k1234=%.12e,k1-2=%.12e,k3-4=%.12e\n",thetai,thetaj,k,k1,k2,k3,k4,delti[thetai]/k,delti[thetaj]/k,x[thetai]-delti[thetai]/k,x[thetaj]-delti[thetaj]/k, res,k1-k2-k3+k4,k1-k2,k3-k4);    
 #endif    /* Caution optionfilefiname is hidden */
   }    strcpy(tmpout,optionfilefiname);
   return res;    strcat(tmpout,"/");
 }    strcat(tmpout,preop);
     strcat(tmpout,fileres);
 /************** Inverse of matrix **************/    return tmpout;
 void ludcmp(double **a, int n, int *indx, double *d)  }
 {  
   int i,imax,j,k;  /*************** function subdirf3 ***********/
   double big,dum,sum,temp;  char *subdirf3(char fileres[], char *preop, char *preop2)
   double *vv;  {
      
   vv=vector(1,n);    /* Caution optionfilefiname is hidden */
   *d=1.0;    strcpy(tmpout,optionfilefiname);
   for (i=1;i<=n;i++) {    strcat(tmpout,"/");
     big=0.0;    strcat(tmpout,preop);
     for (j=1;j<=n;j++)    strcat(tmpout,preop2);
       if ((temp=fabs(a[i][j])) > big) big=temp;    strcat(tmpout,fileres);
     if (big == 0.0) nrerror("Singular matrix in routine ludcmp");    return tmpout;
     vv[i]=1.0/big;  }
   }  
   for (j=1;j<=n;j++) {  /***************** f1dim *************************/
     for (i=1;i<j;i++) {  extern int ncom; 
       sum=a[i][j];  extern double *pcom,*xicom;
       for (k=1;k<i;k++) sum -= a[i][k]*a[k][j];  extern double (*nrfunc)(double []); 
       a[i][j]=sum;   
     }  double f1dim(double x) 
     big=0.0;  { 
     for (i=j;i<=n;i++) {    int j; 
       sum=a[i][j];    double f;
       for (k=1;k<j;k++)    double *xt; 
         sum -= a[i][k]*a[k][j];   
       a[i][j]=sum;    xt=vector(1,ncom); 
       if ( (dum=vv[i]*fabs(sum)) >= big) {    for (j=1;j<=ncom;j++) xt[j]=pcom[j]+x*xicom[j]; 
         big=dum;    f=(*nrfunc)(xt); 
         imax=i;    free_vector(xt,1,ncom); 
       }    return f; 
     }  } 
     if (j != imax) {  
       for (k=1;k<=n;k++) {  /*****************brent *************************/
         dum=a[imax][k];  double brent(double ax, double bx, double cx, double (*f)(double), double tol,  double *xmin) 
         a[imax][k]=a[j][k];  { 
         a[j][k]=dum;    int iter; 
       }    double a,b,d,etemp;
       *d = -(*d);    double fu,fv,fw,fx;
       vv[imax]=vv[j];    double ftemp;
     }    double p,q,r,tol1,tol2,u,v,w,x,xm; 
     indx[j]=imax;    double e=0.0; 
     if (a[j][j] == 0.0) a[j][j]=TINY;   
     if (j != n) {    a=(ax < cx ? ax : cx); 
       dum=1.0/(a[j][j]);    b=(ax > cx ? ax : cx); 
       for (i=j+1;i<=n;i++) a[i][j] *= dum;    x=w=v=bx; 
     }    fw=fv=fx=(*f)(x); 
   }    for (iter=1;iter<=ITMAX;iter++) { 
   free_vector(vv,1,n);  /* Doesn't work */      xm=0.5*(a+b); 
 ;      tol2=2.0*(tol1=tol*fabs(x)+ZEPS); 
 }      /*          if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret)))*/
       printf(".");fflush(stdout);
 void lubksb(double **a, int n, int *indx, double b[])      fprintf(ficlog,".");fflush(ficlog);
 {  #ifdef DEBUG
   int i,ii=0,ip,j;      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 sum;      fprintf(ficlog,"br %d,x=%.10e xm=%.10e b=%.10e a=%.10e tol=%.10e tol1=%.10e tol2=%.10e x-xm=%.10e fx=%.12e fu=%.12e,fw=%.12e,ftemp=%.12e,ftol=%.12e\n",iter,x,xm,b,a,tol,tol1,tol2,(x-xm),fx,fu,fw,ftemp,ftol);
        /*          if ((fabs(x-xm) <= (tol2-0.5*(b-a)))||(2.0*fabs(fu-ftemp) <= ftol*1.e-2*(fabs(fu)+fabs(ftemp)))) { */
   for (i=1;i<=n;i++) {  #endif
     ip=indx[i];      if (fabs(x-xm) <= (tol2-0.5*(b-a))){ 
     sum=b[ip];        *xmin=x; 
     b[ip]=b[i];        return fx; 
     if (ii)      } 
       for (j=ii;j<=i-1;j++) sum -= a[i][j]*b[j];      ftemp=fu;
     else if (sum) ii=i;      if (fabs(e) > tol1) { 
     b[i]=sum;        r=(x-w)*(fx-fv); 
   }        q=(x-v)*(fx-fw); 
   for (i=n;i>=1;i--) {        p=(x-v)*q-(x-w)*r; 
     sum=b[i];        q=2.0*(q-r); 
     for (j=i+1;j<=n;j++) sum -= a[i][j]*b[j];        if (q > 0.0) p = -p; 
     b[i]=sum/a[i][i];        q=fabs(q); 
   }        etemp=e; 
 }        e=d; 
         if (fabs(p) >= fabs(0.5*q*etemp) || p <= q*(a-x) || p >= q*(b-x)) 
 /************ Frequencies ********************/          d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
 void  freqsummary(char fileres[], int agemin, int agemax, int **s, double **agev, int nlstate, int imx, int *Tvar, int **nbcode, int *ncodemax)        else { 
 {  /* Some frequencies */          d=p/q; 
            u=x+d; 
   int i, m, jk, k1, i1, j1, bool, z1,z2,j;          if (u-a < tol2 || b-u < tol2) 
   double ***freq; /* Frequencies */            d=SIGN(tol1,xm-x); 
   double *pp;        } 
   double pos;      } else { 
   FILE *ficresp;        d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
   char fileresp[FILENAMELENGTH];      } 
       u=(fabs(d) >= tol1 ? x+d : x+SIGN(tol1,d)); 
   pp=vector(1,nlstate);      fu=(*f)(u); 
       if (fu <= fx) { 
   strcpy(fileresp,"p");        if (u >= x) a=x; else b=x; 
   strcat(fileresp,fileres);        SHFT(v,w,x,u) 
   if((ficresp=fopen(fileresp,"w"))==NULL) {          SHFT(fv,fw,fx,fu) 
     printf("Problem with prevalence resultfile: %s\n", fileresp);          } else { 
     exit(0);            if (u < x) a=u; else b=u; 
   }            if (fu <= fw || w == x) { 
   freq= ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,agemin,agemax+3);              v=w; 
   j1=0;              w=u; 
               fv=fw; 
   j=cptcovn;              fw=fu; 
   if (cptcovn<1) {j=1;ncodemax[1]=1;}            } else if (fu <= fv || v == x || v == w) { 
               v=u; 
   for(k1=1; k1<=j;k1++){              fv=fu; 
    for(i1=1; i1<=ncodemax[k1];i1++){            } 
        j1++;          } 
     } 
         for (i=-1; i<=nlstate+ndeath; i++)      nrerror("Too many iterations in brent"); 
          for (jk=-1; jk<=nlstate+ndeath; jk++)      *xmin=x; 
            for(m=agemin; m <= agemax+3; m++)    return fx; 
              freq[i][jk][m]=0;  } 
          
        for (i=1; i<=imx; i++) {  /****************** mnbrak ***********************/
          bool=1;  
          if  (cptcovn>0) {  void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, double *fc, 
            for (z1=1; z1<=cptcovn; z1++)              double (*func)(double)) 
              if (covar[Tvar[z1]][i]!= nbcode[Tvar[z1]][codtab[j1][z1]]) bool=0;  { 
          }    double ulim,u,r,q, dum;
           if (bool==1) {    double fu; 
            for(m=firstpass; m<=lastpass-1; m++){   
              if(agev[m][i]==0) agev[m][i]=agemax+1;    *fa=(*func)(*ax); 
              if(agev[m][i]==1) agev[m][i]=agemax+2;    *fb=(*func)(*bx); 
              freq[s[m][i]][s[m+1][i]][(int)agev[m][i]] += weight[i];    if (*fb > *fa) { 
              freq[s[m][i]][s[m+1][i]][(int) agemax+3] += weight[i];      SHFT(dum,*ax,*bx,dum) 
            }        SHFT(dum,*fb,*fa,dum) 
          }        } 
        }    *cx=(*bx)+GOLD*(*bx-*ax); 
         if  (cptcovn>0) {    *fc=(*func)(*cx); 
          fprintf(ficresp, "\n#Variable");    while (*fb > *fc) { 
          for (z1=1; z1<=cptcovn; z1++) fprintf(ficresp, " V%d=%d",Tvar[z1],nbcode[Tvar[z1]][codtab[j1][z1]]);      r=(*bx-*ax)*(*fb-*fc); 
        }      q=(*bx-*cx)*(*fb-*fa); 
        fprintf(ficresp, "\n#");      u=(*bx)-((*bx-*cx)*q-(*bx-*ax)*r)/ 
        for(i=1; i<=nlstate;i++)        (2.0*SIGN(FMAX(fabs(q-r),TINY),q-r)); 
          fprintf(ficresp, " Age Prev(%d) N(%d) N",i,i);      ulim=(*bx)+GLIMIT*(*cx-*bx); 
        fprintf(ficresp, "\n");      if ((*bx-u)*(u-*cx) > 0.0) { 
                fu=(*func)(u); 
   for(i=(int)agemin; i <= (int)agemax+3; i++){      } else if ((*cx-u)*(u-ulim) > 0.0) { 
     if(i==(int)agemax+3)        fu=(*func)(u); 
       printf("Total");        if (fu < *fc) { 
     else          SHFT(*bx,*cx,u,*cx+GOLD*(*cx-*bx)) 
       printf("Age %d", i);            SHFT(*fb,*fc,fu,(*func)(u)) 
     for(jk=1; jk <=nlstate ; jk++){            } 
       for(m=-1, pp[jk]=0; m <=nlstate+ndeath ; m++)      } else if ((u-ulim)*(ulim-*cx) >= 0.0) { 
         pp[jk] += freq[jk][m][i];        u=ulim; 
     }        fu=(*func)(u); 
     for(jk=1; jk <=nlstate ; jk++){      } else { 
       for(m=-1, pos=0; m <=0 ; m++)        u=(*cx)+GOLD*(*cx-*bx); 
         pos += freq[jk][m][i];        fu=(*func)(u); 
       if(pp[jk]>=1.e-10)      } 
         printf(" %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);      SHFT(*ax,*bx,*cx,u) 
       else        SHFT(*fa,*fb,*fc,fu) 
         printf(" %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);        } 
     }  } 
     for(jk=1; jk <=nlstate ; jk++){  
       for(m=1, pp[jk]=0; m <=nlstate+ndeath; m++)  /*************** linmin ************************/
         pp[jk] += freq[jk][m][i];  
     }  int ncom; 
     for(jk=1,pos=0; jk <=nlstate ; jk++)  double *pcom,*xicom;
       pos += pp[jk];  double (*nrfunc)(double []); 
     for(jk=1; jk <=nlstate ; jk++){   
       if(pos>=1.e-5)  void linmin(double p[], double xi[], int n, double *fret,double (*func)(double [])) 
         printf(" %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);  { 
       else    double brent(double ax, double bx, double cx, 
         printf(" %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);                 double (*f)(double), double tol, double *xmin); 
       if( i <= (int) agemax){    double f1dim(double x); 
         if(pos>=1.e-5)    void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, 
           fprintf(ficresp," %d %.5f %.0f %.0f",i,pp[jk]/pos, pp[jk],pos);                double *fc, double (*func)(double)); 
       else    int j; 
           fprintf(ficresp," %d NaNq %.0f %.0f",i,pp[jk],pos);    double xx,xmin,bx,ax; 
       }    double fx,fb,fa;
     }   
     for(jk=-1; jk <=nlstate+ndeath; jk++)    ncom=n; 
       for(m=-1; m <=nlstate+ndeath; m++)    pcom=vector(1,n); 
         if(freq[jk][m][i] !=0 ) printf(" %d%d=%.0f",jk,m,freq[jk][m][i]);    xicom=vector(1,n); 
     if(i <= (int) agemax)    nrfunc=func; 
       fprintf(ficresp,"\n");    for (j=1;j<=n;j++) { 
     printf("\n");      pcom[j]=p[j]; 
     }      xicom[j]=xi[j]; 
     }    } 
  }    ax=0.0; 
      xx=1.0; 
   fclose(ficresp);    mnbrak(&ax,&xx,&bx,&fa,&fx,&fb,f1dim); 
   free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath,(int) agemin,(int) agemax+3);    *fret=brent(ax,xx,bx,f1dim,TOL,&xmin); 
   free_vector(pp,1,nlstate);  #ifdef DEBUG
     printf("retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);
 }  /* End of Freq */    fprintf(ficlog,"retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);
   #endif
 /************* Waves Concatenation ***************/    for (j=1;j<=n;j++) { 
       xi[j] *= xmin; 
 void  concatwav(int wav[], int **dh, int **mw, int **s, double *agedc, double **agev, int  firstpass, int lastpass, int imx, int nlstate, int stepm)      p[j] += xi[j]; 
 {    } 
   /* Concatenates waves: wav[i] is the number of effective (useful waves) of individual i.    free_vector(xicom,1,n); 
      Death is a valid wave (if date is known).    free_vector(pcom,1,n); 
      mw[mi][i] is the mi (mi=1 to wav[i])  effective wave of individual i  } 
      dh[m][i] of dh[mw[mi][i][i] is the delay between two effective waves m=mw[mi][i]  
      and mw[mi+1][i]. dh depends on stepm.  char *asc_diff_time(long time_sec, char ascdiff[])
      */  {
     long sec_left, days, hours, minutes;
   int i, mi, m;    days = (time_sec) / (60*60*24);
   int j, k=0,jk, ju, jl,jmin=1e+5, jmax=-1;    sec_left = (time_sec) % (60*60*24);
 float sum=0.;    hours = (sec_left) / (60*60) ;
     sec_left = (sec_left) %(60*60);
   for(i=1; i<=imx; i++){    minutes = (sec_left) /60;
     mi=0;    sec_left = (sec_left) % (60);
     m=firstpass;    sprintf(ascdiff,"%ld day(s) %ld hour(s) %ld minute(s) %ld second(s)",days, hours, minutes, sec_left);  
     while(s[m][i] <= nlstate){    return ascdiff;
       if(s[m][i]>=1)  }
         mw[++mi][i]=m;  
       if(m >=lastpass)  /*************** powell ************************/
         break;  void powell(double p[], double **xi, int n, double ftol, int *iter, double *fret, 
       else              double (*func)(double [])) 
         m++;  { 
     }/* end while */    void linmin(double p[], double xi[], int n, double *fret, 
     if (s[m][i] > nlstate){                double (*func)(double [])); 
       mi++;     /* Death is another wave */    int i,ibig,j; 
       /* if(mi==0)  never been interviewed correctly before death */    double del,t,*pt,*ptt,*xit;
          /* Only death is a correct wave */    double fp,fptt;
       mw[mi][i]=m;    double *xits;
     }    int niterf, itmp;
   
     wav[i]=mi;    pt=vector(1,n); 
     if(mi==0)    ptt=vector(1,n); 
       printf("Warning, no any valid information for:%d line=%d\n",num[i],i);    xit=vector(1,n); 
   }    xits=vector(1,n); 
     *fret=(*func)(p); 
   for(i=1; i<=imx; i++){    for (j=1;j<=n;j++) pt[j]=p[j]; 
     for(mi=1; mi<wav[i];mi++){    for (*iter=1;;++(*iter)) { 
       if (stepm <=0)      fp=(*fret); 
         dh[mi][i]=1;      ibig=0; 
       else{      del=0.0; 
         if (s[mw[mi+1][i]][i] > nlstate) {      last_time=curr_time;
           j= rint(agedc[i]*12-agev[mw[mi][i]][i]*12);      (void) gettimeofday(&curr_time,&tzp);
           if(j=0) j=1;  /* Survives at least one month after exam */      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);
         }      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); fflush(ficlog);
         else{  /*     fprintf(ficrespow,"%d %.12f %ld",*iter,*fret,curr_time.tv_sec-start_time.tv_sec); */
           j= rint( (agev[mw[mi+1][i]][i]*12 - agev[mw[mi][i]][i]*12));     for (i=1;i<=n;i++) {
           k=k+1;        printf(" %d %.12f",i, p[i]);
           if (j >= jmax) jmax=j;        fprintf(ficlog," %d %.12lf",i, p[i]);
           else if (j <= jmin)jmin=j;        fprintf(ficrespow," %.12lf", p[i]);
           sum=sum+j;      }
         }      printf("\n");
         jk= j/stepm;      fprintf(ficlog,"\n");
         jl= j -jk*stepm;      fprintf(ficrespow,"\n");fflush(ficrespow);
         ju= j -(jk+1)*stepm;      if(*iter <=3){
         if(jl <= -ju)        tm = *localtime(&curr_time.tv_sec);
           dh[mi][i]=jk;        strcpy(strcurr,asctime(&tm));
         else  /*       asctime_r(&tm,strcurr); */
           dh[mi][i]=jk+1;        forecast_time=curr_time; 
         if(dh[mi][i]==0)        itmp = strlen(strcurr);
           dh[mi][i]=1; /* At least one step */        if(strcurr[itmp-1]=='\n')  /* Windows outputs with a new line */
       }          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);
   }        fprintf(ficlog,"\nConsidering the time needed for this last iteration #%d: %ld seconds,\n",*iter,curr_time.tv_sec-last_time.tv_sec);
   printf("Delay (in months) between two waves Min=%d Max=%d Mean=%f\n\n ",jmin, jmax,sum/k);        for(niterf=10;niterf<=30;niterf+=10){
 }          forecast_time.tv_sec=curr_time.tv_sec+(niterf-*iter)*(curr_time.tv_sec-last_time.tv_sec);
 /*********** Tricode ****************************/          tmf = *localtime(&forecast_time.tv_sec);
 void tricode(int *Tvar, int **nbcode, int imx)  /*      asctime_r(&tmf,strfor); */
 {          strcpy(strfor,asctime(&tmf));
   int Ndum[80],ij, k, j, i;          itmp = strlen(strfor);
   int cptcode=0;          if(strfor[itmp-1]=='\n')
   for (k=0; k<79; k++) Ndum[k]=0;          strfor[itmp-1]='\0';
   for (k=1; k<=7; k++) ncodemax[k]=0;          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);
            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<=cptcovn; j++) {        }
     for (i=1; i<=imx; i++) {      }
       ij=(int)(covar[Tvar[j]][i]);      for (i=1;i<=n;i++) { 
       Ndum[ij]++;        for (j=1;j<=n;j++) xit[j]=xi[j][i]; 
       if (ij > cptcode) cptcode=ij;        fptt=(*fret); 
     }  #ifdef DEBUG
     /*printf("cptcode=%d cptcovn=%d ",cptcode,cptcovn);*/        printf("fret=%lf \n",*fret);
     for (i=0; i<=cptcode; i++) {        fprintf(ficlog,"fret=%lf \n",*fret);
       if(Ndum[i]!=0) ncodemax[j]++;  #endif
     }        printf("%d",i);fflush(stdout);
          fprintf(ficlog,"%d",i);fflush(ficlog);
     ij=1;        linmin(p,xit,n,fret,func); 
     for (i=1; i<=ncodemax[j]; i++) {        if (fabs(fptt-(*fret)) > del) { 
       for (k=0; k<=79; k++) {          del=fabs(fptt-(*fret)); 
         if (Ndum[k] != 0) {          ibig=i; 
           nbcode[Tvar[j]][ij]=k;        } 
           ij++;  #ifdef DEBUG
         }        printf("%d %.12e",i,(*fret));
         if (ij > ncodemax[j]) break;        fprintf(ficlog,"%d %.12e",i,(*fret));
       }          for (j=1;j<=n;j++) {
     }          xits[j]=FMAX(fabs(p[j]-pt[j]),1.e-5);
   }            printf(" x(%d)=%.12e",j,xit[j]);
           fprintf(ficlog," x(%d)=%.12e",j,xit[j]);
   }        }
         for(j=1;j<=n;j++) {
 /*********** Health Expectancies ****************/          printf(" p=%.12e",p[j]);
           fprintf(ficlog," p=%.12e",p[j]);
 void evsij(char fileres[], double ***eij, double x[], int nlstate, int stepm, int bage, int fage, double **oldm, double **savm, int ij)        }
 {        printf("\n");
   /* Health expectancies */        fprintf(ficlog,"\n");
   int i, j, nhstepm, hstepm, h;  #endif
   double age, agelim,hf;      } 
   double ***p3mat;      if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret))) {
    #ifdef DEBUG
   fprintf(ficreseij,"# Health expectancies\n");        int k[2],l;
   fprintf(ficreseij,"# Age");        k[0]=1;
   for(i=1; i<=nlstate;i++)        k[1]=-1;
     for(j=1; j<=nlstate;j++)        printf("Max: %.12e",(*func)(p));
       fprintf(ficreseij," %1d-%1d",i,j);        fprintf(ficlog,"Max: %.12e",(*func)(p));
   fprintf(ficreseij,"\n");        for (j=1;j<=n;j++) {
           printf(" %.12e",p[j]);
   hstepm=1*YEARM; /*  Every j years of age (in month) */          fprintf(ficlog," %.12e",p[j]);
   hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */        }
         printf("\n");
   agelim=AGESUP;        fprintf(ficlog,"\n");
   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */        for(l=0;l<=1;l++) {
     /* nhstepm age range expressed in number of stepm */          for (j=1;j<=n;j++) {
     nhstepm=(int) rint((agelim-age)*YEARM/stepm);            ptt[j]=p[j]+(p[j]-pt[j])*k[l];
     /* Typically if 20 years = 20*12/6=40 stepm */            printf("l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
     if (stepm >= YEARM) hstepm=1;            fprintf(ficlog,"l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
     nhstepm = nhstepm/hstepm;/* Expressed in hstepm, typically 40/4=10 */          }
     p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);          printf("func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
     /* Computed by stepm unit matrices, product of hstepm matrices, stored          fprintf(ficlog,"func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
        in an array of nhstepm length: nhstepm=10, hstepm=4, stepm=6 months */        }
     hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm, savm, ij);    #endif
   
   
     for(i=1; i<=nlstate;i++)        free_vector(xit,1,n); 
       for(j=1; j<=nlstate;j++)        free_vector(xits,1,n); 
         for (h=0, eij[i][j][(int)age]=0; h<=nhstepm; h++){        free_vector(ptt,1,n); 
           eij[i][j][(int)age] +=p3mat[i][j][h];        free_vector(pt,1,n); 
         }        return; 
          } 
     hf=1;      if (*iter == ITMAX) nrerror("powell exceeding maximum iterations."); 
     if (stepm >= YEARM) hf=stepm/YEARM;      for (j=1;j<=n;j++) { 
     fprintf(ficreseij,"%.0f",age );        ptt[j]=2.0*p[j]-pt[j]; 
     for(i=1; i<=nlstate;i++)        xit[j]=p[j]-pt[j]; 
       for(j=1; j<=nlstate;j++){        pt[j]=p[j]; 
         fprintf(ficreseij," %.4f", hf*eij[i][j][(int)age]);      } 
       }      fptt=(*func)(ptt); 
     fprintf(ficreseij,"\n");      if (fptt < fp) { 
     free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);        t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)-del*SQR(fp-fptt); 
   }        if (t < 0.0) { 
 }          linmin(p,xit,n,fret,func); 
           for (j=1;j<=n;j++) { 
 /************ Variance ******************/            xi[j][ibig]=xi[j][n]; 
 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)            xi[j][n]=xit[j]; 
 {          }
   /* Variance of health expectancies */  #ifdef DEBUG
   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);*/          printf("Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
   double **newm;          fprintf(ficlog,"Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
   double **dnewm,**doldm;          for(j=1;j<=n;j++){
   int i, j, nhstepm, hstepm, h;            printf(" %.12e",xit[j]);
   int k, cptcode;            fprintf(ficlog," %.12e",xit[j]);
    double *xp;          }
   double **gp, **gm;          printf("\n");
   double ***gradg, ***trgradg;          fprintf(ficlog,"\n");
   double ***p3mat;  #endif
   double age,agelim;        }
   int theta;      } 
     } 
    fprintf(ficresvij,"# Covariances of life expectancies\n");  } 
   fprintf(ficresvij,"# Age");  
   for(i=1; i<=nlstate;i++)  /**** Prevalence limit (stable or period prevalence)  ****************/
     for(j=1; j<=nlstate;j++)  
       fprintf(ficresvij," Cov(e%1d, e%1d)",i,j);  double **prevalim(double **prlim, int nlstate, double x[], double age, double **oldm, double **savm, double ftolpl, int ij)
   fprintf(ficresvij,"\n");  {
     /* Computes the prevalence limit in each live state at age x by left multiplying the unit
   xp=vector(1,npar);       matrix by transitions matrix until convergence is reached */
   dnewm=matrix(1,nlstate,1,npar);  
   doldm=matrix(1,nlstate,1,nlstate);    int i, ii,j,k;
      double min, max, maxmin, maxmax,sumnew=0.;
   hstepm=1*YEARM; /* Every year of age */    /* double **matprod2(); */ /* test */
   hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */    double **out, cov[NCOVMAX+1], **pmij();
   agelim = AGESUP;    double **newm;
   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */    double agefin, delaymax=50 ; /* Max number of years to converge */
     nhstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */  
     if (stepm >= YEARM) hstepm=1;    for (ii=1;ii<=nlstate+ndeath;ii++)
     nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */      for (j=1;j<=nlstate+ndeath;j++){
     p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);        oldm[ii][j]=(ii==j ? 1.0 : 0.0);
     gradg=ma3x(0,nhstepm,1,npar,1,nlstate);      }
     gp=matrix(0,nhstepm,1,nlstate);  
     gm=matrix(0,nhstepm,1,nlstate);     cov[1]=1.;
    
     for(theta=1; theta <=npar; theta++){   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
       for(i=1; i<=npar; i++){ /* Computes gradient */    for(agefin=age-stepm/YEARM; agefin>=age-delaymax; agefin=agefin-stepm/YEARM){
         xp[i] = x[i] + (i==theta ?delti[theta]:0);      newm=savm;
       }      /* Covariates have to be included here again */
       hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);        cov[2]=agefin;
       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);      
       for(j=1; j<= nlstate; j++){      for (k=1; k<=cptcovn;k++) {
         for(h=0; h<=nhstepm; h++){        cov[2+k]=nbcode[Tvar[k]][codtab[ij][Tvar[k]]];
           for(i=1, gp[h][j]=0.;i<=nlstate;i++)        /*printf("prevalim ij=%d k=%d Tvar[%d]=%d nbcode=%d cov=%lf codtab[%d][Tvar[%d]]=%d \n",ij,k, k, Tvar[k],nbcode[Tvar[k]][codtab[ij][Tvar[k]]],cov[2+k], ij, k, codtab[ij][Tvar[k]]);*/
             gp[h][j] += prlim[i][i]*p3mat[i][j][h];      }
         }      /* for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
       }      /* for (k=1; k<=cptcovprod;k++) /\* Useless *\/ */
          /*   cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]] * nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]]; */
       for(i=1; i<=npar; i++) /* Computes gradient */      
         xp[i] = x[i] - (i==theta ?delti[theta]:0);      /*printf("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/
       hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);        /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/
       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);      /*printf("ij=%d cov[3]=%lf \n",ij, cov[3]);*/
       for(j=1; j<= nlstate; j++){      /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
         for(h=0; h<=nhstepm; h++){      /* out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /\* Bug Valgrind *\/ */
           for(i=1, gm[h][j]=0.;i<=nlstate;i++)      out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /* Bug Valgrind */
             gm[h][j] += prlim[i][i]*p3mat[i][j][h];      
         }      savm=oldm;
       }      oldm=newm;
       for(j=1; j<= nlstate; j++)      maxmax=0.;
         for(h=0; h<=nhstepm; h++){      for(j=1;j<=nlstate;j++){
           gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta];        min=1.;
         }        max=0.;
     } /* End theta */        for(i=1; i<=nlstate; i++) {
           sumnew=0;
     trgradg =ma3x(0,nhstepm,1,nlstate,1,npar);          for(k=1; k<=ndeath; k++) sumnew+=newm[i][nlstate+k];
           prlim[i][j]= newm[i][j]/(1-sumnew);
     for(h=0; h<=nhstepm; h++)          /*printf(" prevalim i=%d, j=%d, prmlim[%d][%d]=%f, agefin=%d \n", i, j, i, j, prlim[i][j],(int)agefin);*/
       for(j=1; j<=nlstate;j++)          max=FMAX(max,prlim[i][j]);
         for(theta=1; theta <=npar; theta++)          min=FMIN(min,prlim[i][j]);
           trgradg[h][j][theta]=gradg[h][theta][j];        }
         maxmin=max-min;
     for(i=1;i<=nlstate;i++)        maxmax=FMAX(maxmax,maxmin);
       for(j=1;j<=nlstate;j++)      }
         vareij[i][j][(int)age] =0.;      if(maxmax < ftolpl){
     for(h=0;h<=nhstepm;h++){        return prlim;
       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++)  /*************** transition probabilities ***************/ 
             vareij[i][j][(int)age] += doldm[i][j];  
       }  double **pmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )
     }  {
     h=1;    /* According to parameters values stored in x and the covariate's values stored in cov,
     if (stepm >= YEARM) h=stepm/YEARM;       computes the probability to be observed in state j being in state i by appying the
     fprintf(ficresvij,"%.0f ",age );       model to the ncovmodel covariates (including constant and age).
     for(i=1; i<=nlstate;i++)       lnpijopii=ln(pij/pii)= aij+bij*age+cij*v1+dij*v2+... = sum_nc=1^ncovmodel xij(nc)*cov[nc]
       for(j=1; j<=nlstate;j++){       and, according on how parameters are entered, the position of the coefficient xij(nc) of the
         fprintf(ficresvij," %.4f", h*vareij[i][j][(int)age]);       ncth covariate in the global vector x is given by the formula:
       }       j<i nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel
     fprintf(ficresvij,"\n");       j>=i nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel
     free_matrix(gp,0,nhstepm,1,nlstate);       Computes ln(pij/pii) (lnpijopii), deduces pij/pii by exponentiation,
     free_matrix(gm,0,nhstepm,1,nlstate);       sums on j different of i to get 1-pii/pii, deduces pii, and then all pij.
     free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate);       Outputs ps[i][j] the probability to be observed in j being in j according to
     free_ma3x(trgradg,0,nhstepm,1,nlstate,1,npar);       the values of the covariates cov[nc] and corresponding parameter values x[nc+shiftij]
     free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);    */
   } /* End age */    double s1, lnpijopii;
      /*double t34;*/
   free_vector(xp,1,npar);    int i,j,j1, nc, ii, jj;
   free_matrix(doldm,1,nlstate,1,npar);  
   free_matrix(dnewm,1,nlstate,1,nlstate);      for(i=1; i<= nlstate; i++){
         for(j=1; j<i;j++){
 }          for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
             /*lnpijopii += param[i][j][nc]*cov[nc];*/
 /************ Variance of prevlim ******************/            lnpijopii += x[nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel]*cov[nc];
 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)  /*       printf("Int j<i s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
 {          }
   /* Variance of prevalence limit */          ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);*/  /*      printf("s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
   double **newm;        }
   double **dnewm,**doldm;        for(j=i+1; j<=nlstate+ndeath;j++){
   int i, j, nhstepm, hstepm;          for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
   int k, cptcode;            /*lnpijopii += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];*/
   double *xp;            lnpijopii += x[nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel]*cov[nc];
   double *gp, *gm;  /*        printf("Int j>i s1=%.17e, lnpijopii=%.17e %lx %lx\n",s1,lnpijopii,s1,lnpijopii); */
   double **gradg, **trgradg;          }
   double age,agelim;          ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
   int theta;        }
          }
   fprintf(ficresvpl,"# Standard deviation of prevalences limit\n");      
   fprintf(ficresvpl,"# Age");      for(i=1; i<= nlstate; i++){
   for(i=1; i<=nlstate;i++)        s1=0;
       fprintf(ficresvpl," %1d-%1d",i,i);        for(j=1; j<i; j++){
   fprintf(ficresvpl,"\n");          s1+=exp(ps[i][j]); /* In fact sums pij/pii */
           /*printf("debug1 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
   xp=vector(1,npar);        }
   dnewm=matrix(1,nlstate,1,npar);        for(j=i+1; j<=nlstate+ndeath; j++){
   doldm=matrix(1,nlstate,1,nlstate);          s1+=exp(ps[i][j]); /* In fact sums pij/pii */
            /*printf("debug2 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
   hstepm=1*YEARM; /* Every year of age */        }
   hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */        /* s1= sum_{j<>i} pij/pii=(1-pii)/pii and thus pii is known from s1 */
   agelim = AGESUP;        ps[i][i]=1./(s1+1.);
   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */        /* Computing other pijs */
     nhstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */        for(j=1; j<i; j++)
     if (stepm >= YEARM) hstepm=1;          ps[i][j]= exp(ps[i][j])*ps[i][i];
     nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */        for(j=i+1; j<=nlstate+ndeath; j++)
     gradg=matrix(1,npar,1,nlstate);          ps[i][j]= exp(ps[i][j])*ps[i][i];
     gp=vector(1,nlstate);        /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */
     gm=vector(1,nlstate);      } /* end i */
       
     for(theta=1; theta <=npar; theta++){      for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){
       for(i=1; i<=npar; i++){ /* Computes gradient */        for(jj=1; jj<= nlstate+ndeath; jj++){
         xp[i] = x[i] + (i==theta ?delti[theta]:0);          ps[ii][jj]=0;
       }          ps[ii][ii]=1;
       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 */      /* for(ii=1; ii<= nlstate+ndeath; ii++){ */
         xp[i] = x[i] - (i==theta ?delti[theta]:0);      /*   for(jj=1; jj<= nlstate+ndeath; jj++){ */
       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);      /*  printf(" pmij  ps[%d][%d]=%lf ",ii,jj,ps[ii][jj]); */
       for(i=1;i<=nlstate;i++)      /*   } */
         gm[i] = prlim[i][i];      /*   printf("\n "); */
       /* } */
       for(i=1;i<=nlstate;i++)      /* printf("\n ");printf("%lf ",cov[2]);*/
         gradg[theta][i]= (gp[i]-gm[i])/2./delti[theta];      /*
     } /* End theta */        for(i=1; i<= npar; i++) printf("%f ",x[i]);
         goto end;*/
     trgradg =matrix(1,nlstate,1,npar);      return ps;
   }
     for(j=1; j<=nlstate;j++)  
       for(theta=1; theta <=npar; theta++)  /**************** Product of 2 matrices ******************/
         trgradg[j][theta]=gradg[theta][j];  
   double **matprod2(double **out, double **in,int nrl, int nrh, int ncl, int nch, int ncolol, int ncoloh, double **b)
     for(i=1;i<=nlstate;i++)  {
       varpl[i][(int)age] =0.;    /* Computes the matrix product of in(1,nrh-nrl+1)(1,nch-ncl+1) times
     matprod2(dnewm,trgradg,1,nlstate,1,npar,1,npar,matcov);       b(1,nch-ncl+1)(1,ncoloh-ncolol+1) into out(...) */
     matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg);    /* in, b, out are matrice of pointers which should have been initialized 
     for(i=1;i<=nlstate;i++)       before: only the contents of out is modified. The function returns
       varpl[i][(int)age] = doldm[i][i]; /* Covariances are useless */       a pointer to pointers identical to out */
     int i, j, k;
     fprintf(ficresvpl,"%.0f ",age );    for(i=nrl; i<= nrh; i++)
     for(i=1; i<=nlstate;i++)      for(k=ncolol; k<=ncoloh; k++){
       fprintf(ficresvpl," %.5f (%.5f)",prlim[i][i],sqrt(varpl[i][(int)age]));        out[i][k]=0.;
     fprintf(ficresvpl,"\n");        for(j=ncl; j<=nch; j++)
     free_vector(gp,1,nlstate);          out[i][k] +=in[i][j]*b[j][k];
     free_vector(gm,1,nlstate);      }
     free_matrix(gradg,1,npar,1,nlstate);    return out;
     free_matrix(trgradg,1,nlstate,1,npar);  }
   } /* End age */  
   
   free_vector(xp,1,npar);  /************* Higher Matrix Product ***************/
   free_matrix(doldm,1,nlstate,1,npar);  
   free_matrix(dnewm,1,nlstate,1,nlstate);  double ***hpxij(double ***po, int nhstepm, double age, int hstepm, double *x, int nlstate, int stepm, double **oldm, double **savm, int ij )
   {
 }    /* Computes the transition matrix starting at age 'age' over 
        'nhstepm*hstepm*stepm' months (i.e. until
        age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying 
        nhstepm*hstepm matrices. 
 /***********************************************/       Output is stored in matrix po[i][j][h] for h every 'hstepm' step 
 /**************** Main Program *****************/       (typically every 2 years instead of every month which is too big 
 /***********************************************/       for the memory).
        Model is determined by parameters x and covariates have to be 
 /*int main(int argc, char *argv[])*/       included manually here. 
 int main()  
 {       */
   
   int i,j, k, n=MAXN,iter,m,size,cptcode, aaa, cptcod;    int i, j, d, h, k;
   double agedeb, agefin,hf;    double **out, cov[NCOVMAX+1];
   double agemin=1.e20, agemax=-1.e20;    double **newm;
   
   double fret;    /* Hstepm could be zero and should return the unit matrix */
   double **xi,tmp,delta;    for (i=1;i<=nlstate+ndeath;i++)
       for (j=1;j<=nlstate+ndeath;j++){
   double dum; /* Dummy variable */        oldm[i][j]=(i==j ? 1.0 : 0.0);
   double ***p3mat;        po[i][j][0]=(i==j ? 1.0 : 0.0);
   int *indx;      }
   char line[MAXLINE], linepar[MAXLINE];    /* Even if hstepm = 1, at least one multiplication by the unit matrix */
   char title[MAXLINE];    for(h=1; h <=nhstepm; h++){
   char optionfile[FILENAMELENGTH], datafile[FILENAMELENGTH],  filerespl[FILENAMELENGTH];      for(d=1; d <=hstepm; d++){
   char fileres[FILENAMELENGTH], filerespij[FILENAMELENGTH], filereso[FILENAMELENGTH];        newm=savm;
   char filerest[FILENAMELENGTH];        /* Covariates have to be included here again */
   char fileregp[FILENAMELENGTH];        cov[1]=1.;
   char path[80],pathc[80],pathcd[80],pathtot[80],model[20];        cov[2]=age+((h-1)*hstepm + (d-1))*stepm/YEARM;
   int firstobs=1, lastobs=10;        for (k=1; k<=cptcovn;k++) 
   int sdeb, sfin; /* Status at beginning and end */          cov[2+k]=nbcode[Tvar[k]][codtab[ij][Tvar[k]]];
   int c,  h , cpt,l;        for (k=1; k<=cptcovage;k++)
   int ju,jl, mi;          cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2];
   int i1,j1, k1,jk,aa,bb, stepsize;        for (k=1; k<=cptcovprod;k++) /* Useless because included in cptcovn */
   int jnais,jdc,jint4,jint1,jint2,jint3,**outcome,**adl,*tab;          cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]]*nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]];
    
   int hstepm, nhstepm;  
   double bage, fage, age, agelim, agebase;        /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/
   double ftolpl=FTOL;        /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/
   double **prlim;        out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, 
   double *severity;                     pmij(pmmij,cov,ncovmodel,x,nlstate));
   double ***param; /* Matrix of parameters */        savm=oldm;
   double  *p;        oldm=newm;
   double **matcov; /* Matrix of covariance */      }
   double ***delti3; /* Scale */      for(i=1; i<=nlstate+ndeath; i++)
   double *delti; /* Scale */        for(j=1;j<=nlstate+ndeath;j++) {
   double ***eij, ***vareij;          po[i][j][h]=newm[i][j];
   double **varpl; /* Variances of prevalence limits by age */          /*if(h==nhstepm) printf("po[%d][%d][%d]=%f ",i,j,h,po[i][j][h]);*/
   double *epj, vepp;        }
   char version[80]="Imach version 0.64, May 2000, INED-EUROREVES ";      /*printf("h=%d ",h);*/
   char *alph[]={"a","a","b","c","d","e"}, str[4];    } /* end h */
   char z[1]="c", occ;  /*     printf("\n H=%d \n",h); */
 #include <sys/time.h>    return po;
 #include <time.h>  }
   char stra[80], strb[80], strc[80], strd[80],stre[80],modelsav[80];  
   /* long total_usecs;  
   struct timeval start_time, end_time;  /*************** log-likelihood *************/
    double func( double *x)
   gettimeofday(&start_time, (struct timezone*)0); */ /* at first time */  {
     int i, ii, j, k, mi, d, kk;
     double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1];
   printf("\nIMACH, Version 0.64a");    double **out;
   printf("\nEnter the parameter file name: ");    double sw; /* Sum of weights */
     double lli; /* Individual log likelihood */
 #ifdef windows    int s1, s2;
   scanf("%s",pathtot);    double bbh, survp;
   cygwin_split_path(pathtot,path,optionfile);    long ipmx;
      printf("pathtot=%s, path=%s, optionfile=%s\n",pathtot,path,optionfile);    /*extern weight */
      chdir(path);    /* We are differentiating ll according to initial status */
      /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
   /*size=30;    /*for(i=1;i<imx;i++) 
   getcwd(pathcd, size);        printf(" %d\n",s[4][i]);
   printf("pathcd=%s, path=%s, optionfile=%s\n",pathcd,path,optionfile);    */
   cutv(path,optionfile,pathtot,'\\');    cov[1]=1.;
   chdir(path);  
   replace(pathc,path);    for(k=1; k<=nlstate; k++) ll[k]=0.;
   printf("pathtot=%s, path=%s, optionfile=%s\n",pathtot,path,optionfile);  
   */    if(mle==1){
 #endif      for (i=1,ipmx=0, sw=0.; i<=imx; i++){
 #ifdef unix        /* Computes the values of the ncovmodel covariates of the model
   scanf("%s",optionfile);           depending if the covariates are fixed or variying (age dependent) and stores them in cov[]
 #endif           Then computes with function pmij which return a matrix p[i][j] giving the elementary probability
            to be observed in j being in i according to the model.
 /*-------- arguments in the command line --------*/         */
         for (k=1; k<=cptcovn;k++){ /* Simple and product covariates without age* products */
   strcpy(fileres,"r");          cov[2+k]=covar[Tvar[k]][i];
   strcat(fileres, optionfile);        }
         /* In model V2+V1*V4+age*V3+V3*V2 Tvar[1] is V2, Tvar[2=V1*V4] 
   /*---------arguments file --------*/           is 6, Tvar[3=age*V3] should not be computed because of age Tvar[4=V3*V2] 
            has been calculated etc */
   if((ficpar=fopen(optionfile,"r"))==NULL)    {        for(mi=1; mi<= wav[i]-1; mi++){
     printf("Problem with optionfile %s\n",optionfile);          for (ii=1;ii<=nlstate+ndeath;ii++)
     goto end;            for (j=1;j<=nlstate+ndeath;j++){
   }              oldm[ii][j]=(ii==j ? 1.0 : 0.0);
               savm[ii][j]=(ii==j ? 1.0 : 0.0);
   strcpy(filereso,"o");            }
   strcat(filereso,fileres);          for(d=0; d<dh[mi][i]; d++){
   if((ficparo=fopen(filereso,"w"))==NULL) {            newm=savm;
     printf("Problem with Output resultfile: %s\n", filereso);goto end;            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]; /* Tage[kk] gives the data-covariate associated with age */
   /* Reads comments: lines beginning with '#' */            }
   while((c=getc(ficpar))=='#' && c!= EOF){            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
     ungetc(c,ficpar);                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
     fgets(line, MAXLINE, ficpar);            savm=oldm;
     puts(line);            oldm=newm;
     fputs(line,ficparo);          } /* end mult */
   }        
   ungetc(c,ficpar);          /*lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);*/ /* Original formula */
           /* But now since version 0.9 we anticipate for bias at large stepm.
   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);           * If stepm is larger than one month (smallest stepm) and if the exact delay 
   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);           * (in months) between two waves is not a multiple of stepm, we rounded to 
   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);           * the nearest (and in case of equal distance, to the lowest) interval but now
            * we keep into memory the bias bh[mi][i] and also the previous matrix product
   covar=matrix(1,NCOVMAX,1,n);               * (i.e to dh[mi][i]-1) saved in 'savm'. Then we inter(extra)polate the
   if (strlen(model)<=1) cptcovn=0;           * probability in order to take into account the bias as a fraction of the way
   else {           * from savm to out if bh is negative or even beyond if bh is positive. bh varies
     j=0;           * -stepm/2 to stepm/2 .
     j=nbocc(model,'+');           * For stepm=1 the results are the same as for previous versions of Imach.
     cptcovn=j+1;           * For stepm > 1 the results are less biased than in previous versions. 
   }           */
           s1=s[mw[mi][i]][i];
   ncovmodel=2+cptcovn;          s2=s[mw[mi+1][i]][i];
   nvar=ncovmodel-1; /* Suppressing age as a basic covariate */          bbh=(double)bh[mi][i]/(double)stepm; 
            /* bias bh is positive if real duration
   /* Read guess parameters */           * is higher than the multiple of stepm and negative otherwise.
   /* Reads comments: lines beginning with '#' */           */
   while((c=getc(ficpar))=='#' && c!= EOF){          /* lli= (savm[s1][s2]>1.e-8 ?(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]):log((1.+bbh)*out[s1][s2]));*/
     ungetc(c,ficpar);          if( s2 > nlstate){ 
     fgets(line, MAXLINE, ficpar);            /* i.e. if s2 is a death state and if the date of death is known 
     puts(line);               then the contribution to the likelihood is the probability to 
     fputs(line,ficparo);               die between last step unit time and current  step unit time, 
   }               which is also equal to probability to die before dh 
   ungetc(c,ficpar);               minus probability to die before dh-stepm . 
                 In version up to 0.92 likelihood was computed
   param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);          as if date of death was unknown. Death was treated as any other
     for(i=1; i <=nlstate; i++)          health state: the date of the interview describes the actual state
     for(j=1; j <=nlstate+ndeath-1; j++){          and not the date of a change in health state. The former idea was
       fscanf(ficpar,"%1d%1d",&i1,&j1);          to consider that at each interview the state was recorded
       fprintf(ficparo,"%1d%1d",i1,j1);          (healthy, disable or death) and IMaCh was corrected; but when we
       printf("%1d%1d",i,j);          introduced the exact date of death then we should have modified
       for(k=1; k<=ncovmodel;k++){          the contribution of an exact death to the likelihood. This new
         fscanf(ficpar," %lf",&param[i][j][k]);          contribution is smaller and very dependent of the step unit
         printf(" %lf",param[i][j][k]);          stepm. It is no more the probability to die between last interview
         fprintf(ficparo," %lf",param[i][j][k]);          and month of death but the probability to survive from last
       }          interview up to one month before death multiplied by the
       fscanf(ficpar,"\n");          probability to die within a month. Thanks to Chris
       printf("\n");          Jackson for correcting this bug.  Former versions increased
       fprintf(ficparo,"\n");          mortality artificially. The bad side is that we add another loop
     }          which slows down the processing. The difference can be up to 10%
            lower mortality.
   npar= (nlstate+ndeath-1)*nlstate*ncovmodel;            */
   p=param[1][1];            lli=log(out[s1][s2] - savm[s1][s2]);
    
   /* Reads comments: lines beginning with '#' */  
   while((c=getc(ficpar))=='#' && c!= EOF){          } else if  (s2==-2) {
     ungetc(c,ficpar);            for (j=1,survp=0. ; j<=nlstate; j++) 
     fgets(line, MAXLINE, ficpar);              survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
     puts(line);            /*survp += out[s1][j]; */
     fputs(line,ficparo);            lli= log(survp);
   }          }
   ungetc(c,ficpar);          
           else if  (s2==-4) { 
   delti3= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);            for (j=3,survp=0. ; j<=nlstate; j++)  
   delti=vector(1,npar); /* Scale of each paramater (output from hesscov) */              survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
   for(i=1; i <=nlstate; i++){            lli= log(survp); 
     for(j=1; j <=nlstate+ndeath-1; j++){          } 
       fscanf(ficpar,"%1d%1d",&i1,&j1);  
       printf("%1d%1d",i,j);          else if  (s2==-5) { 
       fprintf(ficparo,"%1d%1d",i1,j1);            for (j=1,survp=0. ; j<=2; j++)  
       for(k=1; k<=ncovmodel;k++){              survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
         fscanf(ficpar,"%le",&delti3[i][j][k]);            lli= log(survp); 
         printf(" %le",delti3[i][j][k]);          } 
         fprintf(ficparo," %le",delti3[i][j][k]);          
       }          else{
       fscanf(ficpar,"\n");            lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
       printf("\n");            /*  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 */
       fprintf(ficparo,"\n");          } 
     }          /*lli=(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]);*/
   }          /*if(lli ==000.0)*/
   delti=delti3[1][1];          /*printf("bbh= %f lli=%f savm=%f out=%f %d\n",bbh,lli,savm[s1][s2], out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]],i); */
            ipmx +=1;
   /* Reads comments: lines beginning with '#' */          sw += weight[i];
   while((c=getc(ficpar))=='#' && c!= EOF){          ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
     ungetc(c,ficpar);        } /* end of wave */
     fgets(line, MAXLINE, ficpar);      } /* end of individual */
     puts(line);    }  else if(mle==2){
     fputs(line,ficparo);      for (i=1,ipmx=0, sw=0.; i<=imx; i++){
   }        for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];
   ungetc(c,ficpar);        for(mi=1; mi<= wav[i]-1; mi++){
            for (ii=1;ii<=nlstate+ndeath;ii++)
   matcov=matrix(1,npar,1,npar);            for (j=1;j<=nlstate+ndeath;j++){
   for(i=1; i <=npar; i++){              oldm[ii][j]=(ii==j ? 1.0 : 0.0);
     fscanf(ficpar,"%s",&str);              savm[ii][j]=(ii==j ? 1.0 : 0.0);
     printf("%s",str);            }
     fprintf(ficparo,"%s",str);          for(d=0; d<=dh[mi][i]; d++){
     for(j=1; j <=i; j++){            newm=savm;
       fscanf(ficpar," %le",&matcov[i][j]);            cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;
       printf(" %.5le",matcov[i][j]);            for (kk=1; kk<=cptcovage;kk++) {
       fprintf(ficparo," %.5le",matcov[i][j]);              cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
     }            }
     fscanf(ficpar,"\n");            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
     printf("\n");                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
     fprintf(ficparo,"\n");            savm=oldm;
   }            oldm=newm;
   for(i=1; i <=npar; i++)          } /* end mult */
     for(j=i+1;j<=npar;j++)        
       matcov[i][j]=matcov[j][i];          s1=s[mw[mi][i]][i];
              s2=s[mw[mi+1][i]][i];
   printf("\n");          bbh=(double)bh[mi][i]/(double)stepm; 
           lli= (savm[s1][s2]>(double)1.e-8 ?log((1.+bbh)*out[s1][s2]- bbh*(savm[s1][s2])):log((1.+bbh)*out[s1][s2])); /* linear interpolation */
           ipmx +=1;
    if(mle==1){          sw += weight[i];
     /*-------- data file ----------*/          ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
     if((ficres =fopen(fileres,"w"))==NULL) {        } /* end of wave */
       printf("Problem with resultfile: %s\n", fileres);goto end;      } /* end of individual */
     }    }  else if(mle==3){  /* exponential inter-extrapolation */
     fprintf(ficres,"#%s\n",version);      for (i=1,ipmx=0, sw=0.; i<=imx; i++){
            for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];
     if((fic=fopen(datafile,"r"))==NULL)    {        for(mi=1; mi<= wav[i]-1; mi++){
       printf("Problem with datafile: %s\n", datafile);goto end;          for (ii=1;ii<=nlstate+ndeath;ii++)
     }            for (j=1;j<=nlstate+ndeath;j++){
               oldm[ii][j]=(ii==j ? 1.0 : 0.0);
     n= lastobs;              savm[ii][j]=(ii==j ? 1.0 : 0.0);
     severity = vector(1,maxwav);            }
     outcome=imatrix(1,maxwav+1,1,n);          for(d=0; d<dh[mi][i]; d++){
     num=ivector(1,n);            newm=savm;
     moisnais=vector(1,n);            cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;
     annais=vector(1,n);            for (kk=1; kk<=cptcovage;kk++) {
     moisdc=vector(1,n);              cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
     andc=vector(1,n);            }
     agedc=vector(1,n);            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
     cod=ivector(1,n);                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
     weight=vector(1,n);            savm=oldm;
     for(i=1;i<=n;i++) weight[i]=1.0; /* Equal weights, 1 by default */            oldm=newm;
     mint=matrix(1,maxwav,1,n);          } /* end mult */
     anint=matrix(1,maxwav,1,n);        
     s=imatrix(1,maxwav+1,1,n);          s1=s[mw[mi][i]][i];
     adl=imatrix(1,maxwav+1,1,n);              s2=s[mw[mi+1][i]][i];
     tab=ivector(1,NCOVMAX);          bbh=(double)bh[mi][i]/(double)stepm; 
     ncodemax=ivector(1,8);          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;
     i=1;          sw += weight[i];
     while (fgets(line, MAXLINE, fic) != NULL)    {          ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
       if ((i >= firstobs) && (i <=lastobs)) {        } /* end of wave */
              } /* end of individual */
         for (j=maxwav;j>=1;j--){    }else if (mle==4){  /* ml=4 no inter-extrapolation */
           cutv(stra, strb,line,' '); s[j][i]=atoi(strb);      for (i=1,ipmx=0, sw=0.; i<=imx; i++){
           strcpy(line,stra);        for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];
           cutv(stra, strb,line,'/'); anint[j][i]=(double)(atoi(strb)); strcpy(line,stra);        for(mi=1; mi<= wav[i]-1; mi++){
           cutv(stra, strb,line,' '); mint[j][i]=(double)(atoi(strb)); strcpy(line,stra);          for (ii=1;ii<=nlstate+ndeath;ii++)
         }            for (j=1;j<=nlstate+ndeath;j++){
                      oldm[ii][j]=(ii==j ? 1.0 : 0.0);
         cutv(stra, strb,line,'/'); andc[i]=(double)(atoi(strb)); strcpy(line,stra);              savm[ii][j]=(ii==j ? 1.0 : 0.0);
         cutv(stra, strb,line,' '); moisdc[i]=(double)(atoi(strb)); strcpy(line,stra);            }
           for(d=0; d<dh[mi][i]; d++){
         cutv(stra, strb,line,'/'); annais[i]=(double)(atoi(strb)); strcpy(line,stra);            newm=savm;
         cutv(stra, strb,line,' '); moisnais[i]=(double)(atoi(strb)); strcpy(line,stra);            cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;
             for (kk=1; kk<=cptcovage;kk++) {
         cutv(stra, strb,line,' '); weight[i]=(double)(atoi(strb)); strcpy(line,stra);              cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
         for (j=ncov;j>=1;j--){            }
           cutv(stra, strb,line,' '); covar[j][i]=(double)(atoi(strb)); strcpy(line,stra);          
         }            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
         num[i]=atol(stra);                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
             savm=oldm;
         /*printf("%d %.lf %.lf %.lf %.lf/%.lf %.lf/%.lf %.lf/%.lf %d %.lf/%.lf %d %.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]),  (mint[5][i]), (anint[5][i]), (s[5][i]),  (mint[6][i]), (anint[6][i]), (s[6][i]));*/            oldm=newm;
           } /* end mult */
         i=i+1;        
       }          s1=s[mw[mi][i]][i];
     }          s2=s[mw[mi+1][i]][i];
           if( s2 > nlstate){ 
     /*scanf("%d",i);*/            lli=log(out[s1][s2] - savm[s1][s2]);
   imx=i-1; /* Number of individuals */          }else{
             lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
   /* Calculation of the number of parameter from char model*/          }
   Tvar=ivector(1,8);              ipmx +=1;
              sw += weight[i];
   if (strlen(model) >1){          ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
     j=0;  /*      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]); */
     j=nbocc(model,'+');        } /* end of wave */
     cptcovn=j+1;      } /* end of individual */
        }else{  /* ml=5 no inter-extrapolation no jackson =0.8a */
     strcpy(modelsav,model);      for (i=1,ipmx=0, sw=0.; i<=imx; i++){
     if (j==0) {        for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];
       cutv(stra,strb,modelsav,'V'); Tvar[1]=atoi(strb);        for(mi=1; mi<= wav[i]-1; mi++){
     }          for (ii=1;ii<=nlstate+ndeath;ii++)
     else {            for (j=1;j<=nlstate+ndeath;j++){
       for(i=j; i>=1;i--){              oldm[ii][j]=(ii==j ? 1.0 : 0.0);
         cutv(stra,strb,modelsav,'+');              savm[ii][j]=(ii==j ? 1.0 : 0.0);
         if (strchr(strb,'*')) {            }
           cutv(strd,strc,strb,'*');          for(d=0; d<dh[mi][i]; d++){
           cutv(strb,stre,strc,'V');Tvar[i+1]=ncov+1;            newm=savm;
           cutv(strb,strc,strd,'V');            cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;
           for (k=1; k<=lastobs;k++)            for (kk=1; kk<=cptcovage;kk++) {
             covar[ncov+1][k]=covar[atoi(stre)][k]*covar[atoi(strc)][k];              cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
         }            }
         else {cutv(strd,strc,strb,'V');          
         Tvar[i+1]=atoi(strc);            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
         }                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
         strcpy(modelsav,stra);              savm=oldm;
       }            oldm=newm;
       cutv(strd,strc,stra,'V');          } /* end mult */
       Tvar[1]=atoi(strc);        
     }          s1=s[mw[mi][i]][i];
   }          s2=s[mw[mi+1][i]][i];
   /*printf("tvar=%d ",Tvar[1]);          lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
   scanf("%d ",i);*/          ipmx +=1;
     fclose(fic);          sw += weight[i];
           ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
     if (weightopt != 1) { /* Maximisation without weights*/          /*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]);*/
       for(i=1;i<=n;i++) weight[i]=1.0;        } /* end of wave */
     }      } /* end of individual */
     /*-calculation of age at interview from date of interview and age at death -*/    } /* End of if */
     agev=matrix(1,maxwav,1,imx);    for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
        /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
     for (i=1; i<=imx; i++)  {    l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
       agedc[i]=(moisdc[i]/12.+andc[i])-(moisnais[i]/12.+annais[i]);    return -l;
       for(m=1; (m<= maxwav); m++){  }
         if(s[m][i] >0){  
           if (s[m][i] == nlstate+1) {  /*************** log-likelihood *************/
             if(agedc[i]>0)  double funcone( double *x)
               if(moisdc[i]!=99 && andc[i]!=9999)  {
               agev[m][i]=agedc[i];    /* Same as likeli but slower because of a lot of printf and if */
             else{    int i, ii, j, k, mi, d, kk;
               printf("Warning negative age at death: %d line:%d\n",num[i],i);    double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1];
               agev[m][i]=-1;    double **out;
             }    double lli; /* Individual log likelihood */
           }    double llt;
           else if(s[m][i] !=9){ /* Should no more exist */    int s1, s2;
             agev[m][i]=(mint[m][i]/12.+1./24.+anint[m][i])-(moisnais[i]/12.+1./24.+annais[i]);    double bbh, survp;
             if(mint[m][i]==99 || anint[m][i]==9999)    /*extern weight */
               agev[m][i]=1;    /* We are differentiating ll according to initial status */
             else if(agev[m][i] <agemin){    /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
               agemin=agev[m][i];    /*for(i=1;i<imx;i++) 
               /*printf(" Min anint[%d][%d]=%.2f annais[%d]=%.2f, agemin=%.2f\n",m,i,anint[m][i], i,annais[i], agemin);*/      printf(" %d\n",s[4][i]);
             }    */
             else if(agev[m][i] >agemax){    cov[1]=1.;
               agemax=agev[m][i];  
              /* printf(" anint[%d][%d]=%.0f annais[%d]=%.0f, agemax=%.0f\n",m,i,anint[m][i], i,annais[i], agemax);*/    for(k=1; k<=nlstate; k++) ll[k]=0.;
             }  
             /*agev[m][i]=anint[m][i]-annais[i];*/    for (i=1,ipmx=0, sw=0.; i<=imx; i++){
             /*   agev[m][i] = age[i]+2*m;*/      for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];
           }      for(mi=1; mi<= wav[i]-1; mi++){
           else { /* =9 */        for (ii=1;ii<=nlstate+ndeath;ii++)
             agev[m][i]=1;          for (j=1;j<=nlstate+ndeath;j++){
             s[m][i]=-1;            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
           }            savm[ii][j]=(ii==j ? 1.0 : 0.0);
         }          }
         else /*= 0 Unknown */        for(d=0; d<dh[mi][i]; d++){
           agev[m][i]=1;          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<=imx; i++)  {          }
       for(m=1; (m<= maxwav); m++){          /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
         if (s[m][i] > (nlstate+ndeath)) {          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
           printf("Error: Wrong value in nlstate or ndeath\n");                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
           goto end;          /* out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath, */
         }          /*           1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate)); */
       }          savm=oldm;
     }          oldm=newm;
         } /* end mult */
 printf("Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, agemin, agemax);        
         s1=s[mw[mi][i]][i];
     free_vector(severity,1,maxwav);        s2=s[mw[mi+1][i]][i];
     free_imatrix(outcome,1,maxwav+1,1,n);        bbh=(double)bh[mi][i]/(double)stepm; 
     free_vector(moisnais,1,n);        /* bias is positive if real duration
     free_vector(annais,1,n);         * is higher than the multiple of stepm and negative otherwise.
     free_matrix(mint,1,maxwav,1,n);         */
     free_matrix(anint,1,maxwav,1,n);        if( s2 > nlstate && (mle <5) ){  /* Jackson */
     free_vector(moisdc,1,n);          lli=log(out[s1][s2] - savm[s1][s2]);
     free_vector(andc,1,n);        } else if  (s2==-2) {
           for (j=1,survp=0. ; j<=nlstate; j++) 
                survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
     wav=ivector(1,imx);          lli= log(survp);
     dh=imatrix(1,lastpass-firstpass+1,1,imx);        }else if (mle==1){
     mw=imatrix(1,lastpass-firstpass+1,1,imx);          lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
            } else if(mle==2){
     /* Concatenates waves */          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 */
       concatwav(wav, dh, mw, s, agedc, agev,  firstpass, lastpass, imx, nlstate, stepm);        } else if(mle==3){  /* exponential inter-extrapolation */
           lli= (savm[s1][s2]>(double)1.e-8 ?(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]):log((1.+bbh)*out[s1][s2])); /* exponential inter-extrapolation */
         } else if (mle==4){  /* mle=4 no inter-extrapolation */
 Tcode=ivector(1,100);          lli=log(out[s1][s2]); /* Original formula */
    nbcode=imatrix(1,nvar,1,8);          } else{  /* mle=0 back to 1 */
    ncodemax[1]=1;          lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
    if (cptcovn > 0) tricode(Tvar,nbcode,imx);          /*lli=log(out[s1][s2]); */ /* Original formula */
          } /* End of if */
    codtab=imatrix(1,100,1,10);        ipmx +=1;
    h=0;        sw += weight[i];
    m=pow(2,cptcovn);        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
          /*printf("i=%6d s1=%1d s2=%1d mi=%1d mw=%1d dh=%3d prob=%10.6f w=%6.4f out=%10.6f sav=%10.6f\n",i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],out[s1][s2],savm[s1][s2]); */
    for(k=1;k<=cptcovn; k++){        if(globpr){
      for(i=1; i <=(m/pow(2,k));i++){          fprintf(ficresilk,"%9ld %6d %2d %2d %1d %1d %3d %11.6f %8.4f\
        for(j=1; j <= ncodemax[k]; j++){   %11.6f %11.6f %11.6f ", \
          for(cpt=1; cpt <=(m/pow(2,cptcovn+1-k)); cpt++){                  num[i],i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],
            h++;                  2*weight[i]*lli,out[s1][s2],savm[s1][s2]);
            if (h>m) h=1;codtab[h][k]=j;          for(k=1,llt=0.,l=0.; k<=nlstate; k++){
          }            llt +=ll[k]*gipmx/gsw;
        }            fprintf(ficresilk," %10.6f",-ll[k]*gipmx/gsw);
      }          }
    }          fprintf(ficresilk," %10.6f\n", -llt);
         }
    /*for(i=1; i <=m ;i++){      } /* end of wave */
      for(k=1; k <=cptcovn; k++){    } /* end of individual */
        printf("i=%d k=%d %d ",i,k,codtab[i][k]);    for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
      }    /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
      printf("\n");    l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
    }*/    if(globpr==0){ /* First time we count the contributions and weights */
    /*scanf("%d",i);*/      gipmx=ipmx;
          gsw=sw;
    /* Calculates basic frequencies. Computes observed prevalence at single age    }
        and prints on file fileres'p'. */    return -l;
   freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvar,nbcode, ncodemax);  }
   
   
   /*scanf("%d ",i);*/  /*************** function likelione ***********/
   void likelione(FILE *ficres,double p[], int npar, int nlstate, int *globpri, long *ipmx, double *sw, double *fretone, double (*funcone)(double []))
   {
     pmmij= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */    /* This routine should help understanding what is done with 
     oldms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */       the selection of individuals/waves and
     newms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */       to check the exact contribution to the likelihood.
     savms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */       Plotting could be done.
     oldm=oldms; newm=newms; savm=savms; /* Keeps fixed addresses to free */     */
        int k;
     /* 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] */    if(*globpri !=0){ /* Just counts and sums, no printings */
     p=param[1][1]; /* *(*(*(param +1)+1)+0) */      strcpy(fileresilk,"ilk"); 
          strcat(fileresilk,fileres);
     mlikeli(ficres,p, npar, ncovmodel, nlstate, ftol, func);      if((ficresilk=fopen(fileresilk,"w"))==NULL) {
         printf("Problem with resultfile: %s\n", fileresilk);
            fprintf(ficlog,"Problem with resultfile: %s\n", fileresilk);
     /*--------- 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);      fprintf(ficresilk, "#individual(line's_record) s1 s2 wave# effective_wave# number_of_matrices_product pij weight -2ln(pij)*weight 0pij_x 0pij_(x-stepm) cumulating_loglikeli_by_health_state(reweighted=-2ll*weightXnumber_of_contribs/sum_of_weights) and_total\n");
          fprintf(ficresilk, "#num_i i s1 s2 mi mw dh likeli weight 2wlli out sav ");
    jk=1;      /*  i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],2*weight[i]*lli,out[s1][s2],savm[s1][s2]); */
    fprintf(ficres,"# Parameters\n");      for(k=1; k<=nlstate; k++) 
    printf("# Parameters\n");        fprintf(ficresilk," -2*gipw/gsw*weight*ll[%d]++",k);
    for(i=1,jk=1; i <=nlstate; i++){      fprintf(ficresilk," -2*gipw/gsw*weight*ll(total)\n");
      for(k=1; k <=(nlstate+ndeath); k++){    }
        if (k != i)  
          {    *fretone=(*funcone)(p);
            printf("%d%d ",i,k);    if(*globpri !=0){
            fprintf(ficres,"%1d%1d ",i,k);      fclose(ficresilk);
            for(j=1; j <=ncovmodel; j++){      fprintf(fichtm,"\n<br>File of contributions to the likelihood: <a href=\"%s\">%s</a><br>\n",subdirf(fileresilk),subdirf(fileresilk));
              printf("%f ",p[jk]);      fflush(fichtm); 
              fprintf(ficres,"%f ",p[jk]);    } 
              jk++;    return;
            }  }
            printf("\n");  
            fprintf(ficres,"\n");  
          }  /*********** Maximum Likelihood Estimation ***************/
      }  
    }  void mlikeli(FILE *ficres,double p[], int npar, int ncovmodel, int nlstate, double ftol, double (*func)(double []))
   {
     /* Computing hessian and covariance matrix */    int i,j, iter;
     ftolhess=ftol; /* Usually correct */    double **xi;
     hesscov(matcov, p, npar, delti, ftolhess, func);    double fret;
     fprintf(ficres,"# Scales\n");    double fretone; /* Only one call to likelihood */
     printf("# Scales\n");    /*  char filerespow[FILENAMELENGTH];*/
      for(i=1,jk=1; i <=nlstate; i++){    xi=matrix(1,npar,1,npar);
       for(j=1; j <=nlstate+ndeath; j++){    for (i=1;i<=npar;i++)
         if (j!=i) {      for (j=1;j<=npar;j++)
           fprintf(ficres,"%1d%1d",i,j);        xi[i][j]=(i==j ? 1.0 : 0.0);
           printf("%1d%1d",i,j);    printf("Powell\n");  fprintf(ficlog,"Powell\n");
           for(k=1; k<=ncovmodel;k++){    strcpy(filerespow,"pow"); 
             printf(" %.5e",delti[jk]);    strcat(filerespow,fileres);
             fprintf(ficres," %.5e",delti[jk]);    if((ficrespow=fopen(filerespow,"w"))==NULL) {
             jk++;      printf("Problem with resultfile: %s\n", filerespow);
           }      fprintf(ficlog,"Problem with resultfile: %s\n", filerespow);
           printf("\n");    }
           fprintf(ficres,"\n");    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");
     k=1;  
     fprintf(ficres,"# Covariance\n");    powell(p,xi,npar,ftol,&iter,&fret,func);
     printf("# Covariance\n");  
     for(i=1;i<=npar;i++){    free_matrix(xi,1,npar,1,npar);
       /*  if (k>nlstate) k=1;    fclose(ficrespow);
       i1=(i-1)/(ncovmodel*nlstate)+1;    printf("\n#Number of iterations = %d, -2 Log likelihood = %.12f\n",iter,func(p));
       fprintf(ficres,"%s%d%d",alph[k],i1,tab[i]);    fprintf(ficlog,"\n#Number of iterations = %d, -2 Log likelihood = %.12f \n",iter,func(p));
       printf("%s%d%d",alph[k],i1,tab[i]);*/    fprintf(ficres,"#Number of iterations = %d, -2 Log likelihood = %.12f \n",iter,func(p));
       fprintf(ficres,"%3d",i);  
       printf("%3d",i);  }
       for(j=1; j<=i;j++){  
         fprintf(ficres," %.5e",matcov[i][j]);  /**** Computes Hessian and covariance matrix ***/
         printf(" %.5e",matcov[i][j]);  void hesscov(double **matcov, double p[], int npar, double delti[], double ftolhess, double (*func)(double []))
       }  {
       fprintf(ficres,"\n");    double  **a,**y,*x,pd;
       printf("\n");    double **hess;
       k++;    int i, j,jk;
     }    int *indx;
      
     while((c=getc(ficpar))=='#' && c!= EOF){    double hessii(double p[], double delta, int theta, double delti[],double (*func)(double []),int npar);
       ungetc(c,ficpar);    double hessij(double p[], double delti[], int i, int j,double (*func)(double []),int npar);
       fgets(line, MAXLINE, ficpar);    void lubksb(double **a, int npar, int *indx, double b[]) ;
       puts(line);    void ludcmp(double **a, int npar, int *indx, double *d) ;
       fputs(line,ficparo);    double gompertz(double p[]);
     }    hess=matrix(1,npar,1,npar);
     ungetc(c,ficpar);  
      printf("\nCalculation of the hessian matrix. Wait...\n");
     fscanf(ficpar,"agemin=%lf agemax=%lf bage=%lf fage=%lf\n",&agemin,&agemax, &bage, &fage);    fprintf(ficlog,"\nCalculation of the hessian matrix. Wait...\n");
        for (i=1;i<=npar;i++){
     if (fage <= 2) {      printf("%d",i);fflush(stdout);
       bage = agemin;      fprintf(ficlog,"%d",i);fflush(ficlog);
       fage = agemax;     
     }       hess[i][i]=hessii(p,ftolhess,i,delti,func,npar);
       
     fprintf(ficres,"# agemin agemax for life expectancy, bage fage (if mle==0 ie no data nor Max likelihood).\n");      /*  printf(" %f ",p[i]);
     fprintf(ficres,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f\n",agemin,agemax,bage,fage);          printf(" %lf %lf %lf",hess[i][i],ftolhess,delti[i]);*/
 /*------------ gnuplot -------------*/    }
 chdir(pathcd);    
   if((ficgp=fopen("graph.plt","w"))==NULL) {    for (i=1;i<=npar;i++) {
     printf("Problem with file graph.plt");goto end;      for (j=1;j<=npar;j++)  {
   }        if (j>i) { 
 #ifdef windows          printf(".%d%d",i,j);fflush(stdout);
   fprintf(ficgp,"cd \"%s\" \n",pathc);          fprintf(ficlog,".%d%d",i,j);fflush(ficlog);
 #endif          hess[i][j]=hessij(p,delti,i,j,func,npar);
 m=pow(2,cptcovn);          
            hess[j][i]=hess[i][j];    
  /* 1eme*/          /*printf(" %lf ",hess[i][j]);*/
   for (cpt=1; cpt<= nlstate ; cpt ++) {        }
    for (k1=1; k1<= m ; k1 ++) {      }
     }
 #ifdef windows    printf("\n");
     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);    fprintf(ficlog,"\n");
 #endif  
 #ifdef unix    printf("\nInverting the hessian to get the covariance matrix. Wait...\n");
 fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \nplot [%.f:%.f] \"vpl%s\" u 1:2 \"\%%lf",agemin,fage,fileres);    fprintf(ficlog,"\nInverting the hessian to get the covariance matrix. Wait...\n");
 #endif    
     a=matrix(1,npar,1,npar);
 for (i=1; i<= nlstate ; i ++) {    y=matrix(1,npar,1,npar);
   if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");    x=vector(1,npar);
   else fprintf(ficgp," \%%*lf (\%%*lf)");    indx=ivector(1,npar);
 }    for (i=1;i<=npar;i++)
     fprintf(ficgp,"\" t\"Stationary prevalence\" w l 0,\"vpl%s\" every :::%d::%d u 1:($2+2*$3) \"\%%lf",fileres,k1-1,k1-1);      for (j=1;j<=npar;j++) a[i][j]=hess[i][j];
     for (i=1; i<= nlstate ; i ++) {    ludcmp(a,npar,indx,&pd);
   if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");  
   else fprintf(ficgp," \%%*lf (\%%*lf)");    for (j=1;j<=npar;j++) {
 }      for (i=1;i<=npar;i++) x[i]=0;
   fprintf(ficgp,"\" t\"95\%% CI\" w l 1,\"vpl%s\" every :::%d::%d u 1:($2-2*$3) \"\%%lf",fileres,k1-1,k1-1);      x[j]=1;
      for (i=1; i<= nlstate ; i ++) {      lubksb(a,npar,indx,x);
   if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");      for (i=1;i<=npar;i++){ 
   else fprintf(ficgp," \%%*lf (\%%*lf)");        matcov[i][j]=x[i];
 }        }
      fprintf(ficgp,"\" t\"\" w l 1,\"p%s\" every :::%d::%d u 1:($%d) t\"Observed prevalence \" w l 2",fileres,k1-1,k1-1,2+4*(cpt-1));    }
 #ifdef unix  
 fprintf(ficgp,"\nset ter gif small size 400,300");    printf("\n#Hessian matrix#\n");
 #endif    fprintf(ficlog,"\n#Hessian matrix#\n");
 fprintf(ficgp,"\nset out \"v%s%d%d.gif\" \nreplot\n\n",strtok(optionfile, "."),cpt,k1);    for (i=1;i<=npar;i++) { 
    }      for (j=1;j<=npar;j++) { 
   }        printf("%.3e ",hess[i][j]);
   /*2 eme*/        fprintf(ficlog,"%.3e ",hess[i][j]);
       }
   for (k1=1; k1<= m ; k1 ++) {      printf("\n");
     fprintf(ficgp,"set ylabel \"Years\" \nset ter gif small size 400,300\nplot [%.f:%.f] ",agemin,fage);      fprintf(ficlog,"\n");
        }
     for (i=1; i<= nlstate+1 ; i ++) {  
       k=2*i;    /* Recompute Inverse */
       fprintf(ficgp,"\"t%s\" every :::%d::%d u 1:2 \"\%%lf",fileres,k1-1,k1-1);    for (i=1;i<=npar;i++)
       for (j=1; j<= nlstate+1 ; j ++) {      for (j=1;j<=npar;j++) a[i][j]=matcov[i][j];
   if (j==i) fprintf(ficgp," \%%lf (\%%lf)");    ludcmp(a,npar,indx,&pd);
   else fprintf(ficgp," \%%*lf (\%%*lf)");  
 }      /*  printf("\n#Hessian matrix recomputed#\n");
       if (i== 1) fprintf(ficgp,"\" t\"TLE\" w l ,");  
       else fprintf(ficgp,"\" t\"LE in state (%d)\" w l ,",i-1);    for (j=1;j<=npar;j++) {
     fprintf(ficgp,"\"t%s\" every :::%d::%d u 1:($2-$3*2) \"\%%lf",fileres,k1-1,k1-1);      for (i=1;i<=npar;i++) x[i]=0;
       for (j=1; j<= nlstate+1 ; j ++) {      x[j]=1;
         if (j==i) fprintf(ficgp," \%%lf (\%%lf)");      lubksb(a,npar,indx,x);
         else fprintf(ficgp," \%%*lf (\%%*lf)");      for (i=1;i<=npar;i++){ 
 }          y[i][j]=x[i];
       fprintf(ficgp,"\" t\"\" w l 0,");        printf("%.3e ",y[i][j]);
      fprintf(ficgp,"\"t%s\" every :::%d::%d u 1:($2+$3*2) \"\%%lf",fileres,k1-1,k1-1);        fprintf(ficlog,"%.3e ",y[i][j]);
       for (j=1; j<= nlstate+1 ; j ++) {      }
   if (j==i) fprintf(ficgp," \%%lf (\%%lf)");      printf("\n");
   else fprintf(ficgp," \%%*lf (\%%*lf)");      fprintf(ficlog,"\n");
 }      }
       if (i== (nlstate+1)) fprintf(ficgp,"\" t\"\" w l 0");    */
       else fprintf(ficgp,"\" t\"\" w l 0,");  
     }    free_matrix(a,1,npar,1,npar);
     fprintf(ficgp,"\nset out \"e%s%d.gif\" \nreplot\n\n",strtok(optionfile, "."),k1);    free_matrix(y,1,npar,1,npar);
   }    free_vector(x,1,npar);
      free_ivector(indx,1,npar);
   /*3eme*/    free_matrix(hess,1,npar,1,npar);
   
    for (k1=1; k1<= m ; k1 ++) {  
     for (cpt=1; cpt<= nlstate ; cpt ++) {  }
       k=2+nlstate*(cpt-1);  
       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);  /*************** hessian matrix ****************/
       for (i=1; i< nlstate ; i ++) {  double hessii(double x[], double delta, int theta, double delti[], double (*func)(double []), int npar)
         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);  {
       }    int i;
       fprintf(ficgp,"\nset out \"exp%s%d%d.gif\" \nreplot\n\n",strtok(optionfile, "."),cpt,k1);    int l=1, lmax=20;
     }    double k1,k2;
    }    double p2[MAXPARM+1]; /* identical to x */
      double res;
   /* CV preval stat */    double delt=0.0001, delts, nkhi=10.,nkhif=1., khi=1.e-4;
     for (k1=1; k1<= m ; k1 ++) {    double fx;
     for (cpt=1; cpt<nlstate ; cpt ++) {    int k=0,kmax=10;
       k=3;    double l1;
       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/($%d",agemin,agemax,fileres,k1,k+cpt+1,k+1);  
       for (i=1; i< nlstate ; i ++)    fx=func(x);
         fprintf(ficgp,"+$%d",k+i+1);    for (i=1;i<=npar;i++) p2[i]=x[i];
       fprintf(ficgp,")) t\"prev(%d,%d)\" w l",cpt,cpt+1);    for(l=0 ; l <=lmax; l++){  /* Enlarging the zone around the Maximum */
            l1=pow(10,l);
       l=3+(nlstate+ndeath)*cpt;      delts=delt;
       fprintf(ficgp,",\"pij%s\" u ($1==%d ? ($3):1/0):($%d/($%d",fileres,k1,l+cpt+1,l+1);      for(k=1 ; k <kmax; k=k+1){
       for (i=1; i< nlstate ; i ++) {        delt = delta*(l1*k);
         l=3+(nlstate+ndeath)*cpt;        p2[theta]=x[theta] +delt;
         fprintf(ficgp,"+$%d",l+i+1);        k1=func(p2)-fx;   /* Might be negative if too close to the theoretical maximum */
       }        p2[theta]=x[theta]-delt;
       fprintf(ficgp,")) t\"prev(%d,%d)\" w l\n",cpt+1,cpt+1);          k2=func(p2)-fx;
       fprintf(ficgp,"set out \"p%s%d%d.gif\" \nreplot\n\n",strtok(optionfile, "."),cpt,k1);        /*res= (k1-2.0*fx+k2)/delt/delt; */
     }        res= (k1+k2)/delt/delt/2.; /* Divided by because L and not 2*L */
   }        
    #ifdef DEBUGHESS
   /* proba elementaires */        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);
   for(i=1,jk=1; i <=nlstate; i++){        fprintf(ficlog,"%d %d k1=%.12e k2=%.12e xk1=%.12e xk2=%.12e delt=%.12e res=%.12e l=%d k=%d,fx=%.12e\n",theta,theta,k1,k2,x[theta]+delt,x[theta]-delt,delt,res, l, k,fx);
     for(k=1; k <=(nlstate+ndeath); k++){  #endif
       if (k != i) {        /*if(fabs(k1-2.0*fx+k2) <1.e-13){ */
         /*  fprintf(ficgp,"%1d%1d ",i,k);*/        if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)){
         for(j=1; j <=ncovmodel; j++){          k=kmax;
           fprintf(ficgp,"%s%1d%1d=%f ",alph[j],i,k,p[jk]);        }
           jk++;        else if((k1 >khi/nkhif) || (k2 >khi/nkhif)){ /* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. */
           fprintf(ficgp,"\n");          k=kmax; l=lmax*10.;
         }        }
       }        else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){ 
     }          delts=delt;
   }        }
   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++) {    delti[theta]=delts;
     for(k=1; k <=(nlstate+ndeath); k++){    return res; 
       if (k != i) {    
         fprintf(ficgp," exp(a%d%d+b%d%d*x",i,k,i,k);  }
         for(j=3; j <=ncovmodel; j++)  
           fprintf(ficgp,"+%s%d%d*%d",alph[j],i,k,nbcode[Tvar[j-2]][codtab[jk][j-2]]);  double hessij( double x[], double delti[], int thetai,int thetaj,double (*func)(double []),int npar)
         fprintf(ficgp,")/(1");  {
         for(k1=1; k1 <=(nlstate+ndeath); k1++)    int i;
           if (k1 != i) {    int l=1, l1, lmax=20;
             fprintf(ficgp,"+exp(a%d%d+b%d%d*x",i,k1,i,k1);    double k1,k2,k3,k4,res,fx;
             for(j=3; j <=ncovmodel; j++)    double p2[MAXPARM+1];
               fprintf(ficgp,"+%s%d%d*%d",alph[j],i,k,nbcode[Tvar[j-2]][codtab[jk][j-2]]);    int k;
             fprintf(ficgp,")");  
           }    fx=func(x);
         fprintf(ficgp,") t \"p%d%d\" ", i,k);    for (k=1; k<=2; k++) {
       if ((i+k)!= (nlstate*2+ndeath)) fprintf(ficgp,",");      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;
 fprintf(ficgp,"\nset out \"pe%s%d.gif\" \nreplot\n\n",strtok(optionfile, "."),jk);      
   }      p2[thetai]=x[thetai]+delti[thetai]/k;
        p2[thetaj]=x[thetaj]-delti[thetaj]/k;
  fclose(ficgp);      k2=func(p2)-fx;
     
     chdir(path);      p2[thetai]=x[thetai]-delti[thetai]/k;
     free_matrix(agev,1,maxwav,1,imx);      p2[thetaj]=x[thetaj]+delti[thetaj]/k;
     free_ivector(wav,1,imx);      k3=func(p2)-fx;
     free_imatrix(dh,1,lastpass-firstpass+1,1,imx);    
     free_imatrix(mw,1,lastpass-firstpass+1,1,imx);      p2[thetai]=x[thetai]-delti[thetai]/k;
          p2[thetaj]=x[thetaj]-delti[thetaj]/k;
     free_imatrix(s,1,maxwav+1,1,n);      k4=func(p2)-fx;
          res=(k1-k2-k3+k4)/4.0/delti[thetai]*k/delti[thetaj]*k/2.; /* Because of L not 2*L */
      #ifdef DEBUG
     free_ivector(num,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);
     free_vector(agedc,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);
     free_vector(weight,1,n);  #endif
     /*free_matrix(covar,1,NCOVMAX,1,n);*/    }
     fclose(ficparo);    return res;
     fclose(ficres);  }
    }  
      /************** Inverse of matrix **************/
    /*________fin mle=1_________*/  void ludcmp(double **a, int n, int *indx, double *d) 
      { 
     int i,imax,j,k; 
      double big,dum,sum,temp; 
     /* No more information from the sample is required now */    double *vv; 
   /* Reads comments: lines beginning with '#' */   
   while((c=getc(ficpar))=='#' && c!= EOF){    vv=vector(1,n); 
     ungetc(c,ficpar);    *d=1.0; 
     fgets(line, MAXLINE, ficpar);    for (i=1;i<=n;i++) { 
     puts(line);      big=0.0; 
     fputs(line,ficparo);      for (j=1;j<=n;j++) 
   }        if ((temp=fabs(a[i][j])) > big) big=temp; 
   ungetc(c,ficpar);      if (big == 0.0) nrerror("Singular matrix in routine ludcmp"); 
        vv[i]=1.0/big; 
     } 
   fscanf(ficpar,"agemin=%lf agemax=%lf bage=%lf fage=%lf\n",&agemin,&agemax, &bage, &fage);    for (j=1;j<=n;j++) { 
   printf("agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f\n",agemin,agemax, bage, fage);      for (i=1;i<j;i++) { 
   fprintf(ficparo,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f\n",agemin,agemax,bage,fage);        sum=a[i][j]; 
 /*--------- index.htm --------*/        for (k=1;k<i;k++) sum -= a[i][k]*a[k][j]; 
         a[i][j]=sum; 
   if((fichtm=fopen("index.htm","w"))==NULL)    {      } 
     printf("Problem with index.htm \n");goto end;      big=0.0; 
   }      for (i=j;i<=n;i++) { 
         sum=a[i][j]; 
  fprintf(fichtm,"<body><ul> Imach, Version 0.63<hr> <li>Outputs files<br><br>\n        for (k=1;k<j;k++) 
         - Observed prevalence in each state: <a href=\"p%s\">p%s</a> <br>\n          sum -= a[i][k]*a[k][j]; 
 - Estimated parameters and the covariance matrix: <a href=\"%s\">%s</a> <br>        a[i][j]=sum; 
         - Stationary prevalence in each state: <a href=\"pl%s\">pl%s</a> <br>        if ( (dum=vv[i]*fabs(sum)) >= big) { 
         - Transition probabilities: <a href=\"pij%s\">pij%s</a><br>          big=dum; 
         - Copy of the parameter file: <a href=\"o%s\">o%s</a><br>          imax=i; 
         - Life expectancies by age and initial health status: <a href=\"e%s\">e%s</a> <br>        } 
         - Variances of life expectancies by age and initial health status: <a href=\"v%s\">v%s</a><br>      } 
         - Health expectancies with their variances: <a href=\"t%s\">t%s</a> <br>      if (j != imax) { 
         - 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);        for (k=1;k<=n;k++) { 
           dum=a[imax][k]; 
  fprintf(fichtm," <li>Graphs</li>\n<p>");          a[imax][k]=a[j][k]; 
           a[j][k]=dum; 
  m=cptcovn;        } 
  if (cptcovn < 1) {m=1;ncodemax[1]=1;}        *d = -(*d); 
         vv[imax]=vv[j]; 
  j1=0;      } 
  for(k1=1; k1<=m;k1++){      indx[j]=imax; 
    for(i1=1; i1<=ncodemax[k1];i1++){      if (a[j][j] == 0.0) a[j][j]=TINY; 
        j1++;      if (j != n) { 
        if (cptcovn > 0) {        dum=1.0/(a[j][j]); 
          fprintf(fichtm,"<hr>************ Results for covariates");        for (i=j+1;i<=n;i++) a[i][j] *= dum; 
          for (cpt=1; cpt<=cptcovn;cpt++)      } 
            fprintf(fichtm," V%d=%d ",Tvar[cpt],nbcode[Tvar[cpt]][codtab[j1][cpt]]);    } 
          fprintf(fichtm," ************\n<hr>");    free_vector(vv,1,n);  /* Doesn't work */
        }  ;
        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++){  void lubksb(double **a, int n, int *indx, double b[]) 
          fprintf(fichtm,"<br>- Prevalence of disability : p%s%d%d.gif<br>  { 
 <img src=\"p%s%d%d.gif\">",strtok(optionfile, "."),cpt,j1,strtok(optionfile, "."),cpt,j1);    int i,ii=0,ip,j; 
        }    double sum; 
     for(cpt=1; cpt<=nlstate;cpt++) {   
        fprintf(fichtm,"<br>- Observed and stationary prevalence (with confident    for (i=1;i<=n;i++) { 
 interval) in state (%d): v%s%d%d.gif <br>      ip=indx[i]; 
 <img src=\"v%s%d%d.gif\">",cpt,strtok(optionfile, "."),cpt,j1,strtok(optionfile, "."),cpt,j1);        sum=b[ip]; 
      }      b[ip]=b[i]; 
      for(cpt=1; cpt<=nlstate;cpt++) {      if (ii) 
         fprintf(fichtm,"\n<br>- Health life expectancies by age and initial health state (%d): exp%s%d%d.gif <br>        for (j=ii;j<=i-1;j++) sum -= a[i][j]*b[j]; 
 <img src=\"ex%s%d%d.gif\">",cpt,strtok(optionfile, "."),cpt,j1,strtok(optionfile, "."),cpt,j1);      else if (sum) ii=i; 
      }      b[i]=sum; 
      fprintf(fichtm,"\n<br>- Total life expectancy by age and    } 
 health expectancies in states (1) and (2): e%s%d.gif<br>    for (i=n;i>=1;i--) { 
 <img src=\"e%s%d.gif\">",strtok(optionfile, "."),j1,strtok(optionfile, "."),j1);      sum=b[i]; 
 fprintf(fichtm,"\n</body>");      for (j=i+1;j<=n;j++) sum -= a[i][j]*b[j]; 
    }      b[i]=sum/a[i][i]; 
  }    } 
 fclose(fichtm);  } 
   
   /*--------------- Prevalence limit --------------*/  void pstamp(FILE *fichier)
    {
   strcpy(filerespl,"pl");    fprintf(fichier,"# %s.%s\n#%s\n#%s\n# %s", optionfilefiname,optionfilext,version,fullversion,strstart);
   strcat(filerespl,fileres);  }
   if((ficrespl=fopen(filerespl,"w"))==NULL) {  
     printf("Problem with Prev limit resultfile: %s\n", filerespl);goto end;  /************ 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, char strstart[])
   printf("Computing prevalence limit: result on file '%s' \n", filerespl);  {  /* Some frequencies */
   fprintf(ficrespl,"#Prevalence limit\n");    
   fprintf(ficrespl,"#Age ");    int i, m, jk, k1,i1, j1, bool, z1,j;
   for(i=1; i<=nlstate;i++) fprintf(ficrespl,"%d-%d ",i,i);    int first;
   fprintf(ficrespl,"\n");    double ***freq; /* Frequencies */
      double *pp, **prop;
   prlim=matrix(1,nlstate,1,nlstate);    double pos,posprop, k2, dateintsum=0,k2cpt=0;
   pmmij= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */    char fileresp[FILENAMELENGTH];
   oldms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */    
   newms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */    pp=vector(1,nlstate);
   savms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */    prop=matrix(1,nlstate,iagemin,iagemax+3);
   oldm=oldms; newm=newms; savm=savms; /* Keeps fixed addresses to free */    strcpy(fileresp,"p");
   k=0;    strcat(fileresp,fileres);
   agebase=agemin;    if((ficresp=fopen(fileresp,"w"))==NULL) {
   agelim=agemax;      printf("Problem with prevalence resultfile: %s\n", fileresp);
   ftolpl=1.e-10;      fprintf(ficlog,"Problem with prevalence resultfile: %s\n", fileresp);
   i1=cptcovn;      exit(0);
   if (cptcovn < 1){i1=1;}    }
     freq= ma3x(-5,nlstate+ndeath,-5,nlstate+ndeath,iagemin,iagemax+3);
   for(cptcov=1;cptcov<=i1;cptcov++){    j1=0;
     for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){    
         k=k+1;    j=cptcoveff;
         /*printf("cptcov=%d cptcod=%d codtab=%d nbcode=%d\n",cptcov, cptcod,Tcode[cptcode],codtab[cptcod][cptcov]);*/    if (cptcovn<1) {j=1;ncodemax[1]=1;}
         fprintf(ficrespl,"\n#****** ");  
         for(j=1;j<=cptcovn;j++)    first=1;
           fprintf(ficrespl,"V%d=%d ",Tvar[j],nbcode[Tvar[j]][codtab[k][j]]);  
         fprintf(ficrespl,"******\n");    /* for(k1=1; k1<=j ; k1++){   /* Loop on covariates */
            /*  for(i1=1; i1<=ncodemax[k1];i1++){ /* Now it is 2 */
         for (age=agebase; age<=agelim; age++){    /*    j1++;
           prevalim(prlim, nlstate, p, age, oldm, savm,ftolpl,k);  */
           fprintf(ficrespl,"%.0f",age );    for (j1 = 1; j1 <= (int) pow(2,cptcoveff); j1++){
           for(i=1; i<=nlstate;i++)        /*printf("cptcoveff=%d Tvaraff=%d", cptcoveff,Tvaraff[1]);
           fprintf(ficrespl," %.5f", prlim[i][i]);          scanf("%d", i);*/
           fprintf(ficrespl,"\n");        for (i=-5; i<=nlstate+ndeath; i++)  
         }          for (jk=-5; jk<=nlstate+ndeath; jk++)  
       }            for(m=iagemin; m <= iagemax+3; m++)
     }              freq[i][jk][m]=0;
   fclose(ficrespl);        
   /*------------- h Pij x at various ages ------------*/        for (i=1; i<=nlstate; i++)  
            for(m=iagemin; m <= iagemax+3; m++)
   strcpy(filerespij,"pij");  strcat(filerespij,fileres);            prop[i][m]=0;
   if((ficrespij=fopen(filerespij,"w"))==NULL) {        
     printf("Problem with Pij resultfile: %s\n", filerespij);goto end;        dateintsum=0;
   }        k2cpt=0;
   printf("Computing pij: result on file '%s' \n", filerespij);        for (i=1; i<=imx; i++) {
            bool=1;
   stepsize=(int) (stepm+YEARM-1)/YEARM;          if  (cptcovn>0) { /* Filter is here: Must be looked at for model=V1+V2+V3+V4 */
   if (stepm<=24) stepsize=2;            for (z1=1; z1<=cptcoveff; z1++)       
               if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtab[j1][z1]]){
   agelim=AGESUP;                  /* Tests if the value of each of the covariates of i is equal to filter j1 */
   hstepm=stepsize*YEARM; /* Every year of age */                bool=0;
   hstepm=hstepm/stepm; /* Typically 2 years, = 2/6 months = 4 */                /* printf("bool=%d i=%d, z1=%d, Tvaraff[%d]=%d, covar[Tvarff][%d]=%2f, codtab[%d][%d]=%d, nbcode[Tvaraff][codtab[%d][%d]=%d, j1=%d\n", 
                    bool,i,z1, z1, Tvaraff[z1],i,covar[Tvaraff[z1]][i],j1,z1,codtab[j1][z1],
   k=0;                  j1,z1,nbcode[Tvaraff[z1]][codtab[j1][z1]],j1);*/
   for(cptcov=1;cptcov<=i1;cptcov++){                /* For j1=7 in V1+V2+V3+V4 = 0 1 1 0 and codtab[7][3]=1 and nbcde[3][?]=1*/
     for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){              } 
       k=k+1;          }
         fprintf(ficrespij,"\n#****** ");   
         for(j=1;j<=cptcovn;j++)          if (bool==1){
           fprintf(ficrespij,"V%d=%d ",Tvar[j],nbcode[Tvar[j]][codtab[k][j]]);            for(m=firstpass; m<=lastpass; m++){
         fprintf(ficrespij,"******\n");              k2=anint[m][i]+(mint[m][i]/12.);
                      /*if ((k2>=dateprev1) && (k2<=dateprev2)) {*/
         for (agedeb=fage; agedeb>=bage; agedeb--){ /* If stepm=6 months */                if(agev[m][i]==0) agev[m][i]=iagemax+1;
           nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */                if(agev[m][i]==1) agev[m][i]=iagemax+2;
           nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */                if (s[m][i]>0 && s[m][i]<=nlstate) prop[s[m][i]][(int)agev[m][i]] += weight[i];
           p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);                if (m<lastpass) {
           oldm=oldms;savm=savms;                  freq[s[m][i]][s[m+1][i]][(int)agev[m][i]] += weight[i];
           hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);                    freq[s[m][i]][s[m+1][i]][iagemax+3] += weight[i];
           fprintf(ficrespij,"# Age");                }
           for(i=1; i<=nlstate;i++)                
             for(j=1; j<=nlstate+ndeath;j++)                if ((agev[m][i]>1) && (agev[m][i]< (iagemax+3))) {
               fprintf(ficrespij," %1d-%1d",i,j);                  dateintsum=dateintsum+k2;
           fprintf(ficrespij,"\n");                  k2cpt++;
           for (h=0; h<=nhstepm; h++){                }
             fprintf(ficrespij,"%d %.0f %.0f",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]);        } /* end i */
             fprintf(ficrespij,"\n");         
           }        /*      fprintf(ficresp, "#Count between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);*/
           free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);        pstamp(ficresp);
           fprintf(ficrespij,"\n");        if  (cptcovn>0) {
         }          fprintf(ficresp, "\n#********** Variable "); 
     }          for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresp, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
   }          fprintf(ficresp, "**********\n#");
           fprintf(ficlog, "\n#********** Variable "); 
   fclose(ficrespij);          for (z1=1; z1<=cptcoveff; z1++) fprintf(ficlog, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
           fprintf(ficlog, "**********\n#");
   /*---------- Health expectancies and variances ------------*/        }
         for(i=1; i<=nlstate;i++) 
   strcpy(filerest,"t");          fprintf(ficresp, " Age Prev(%d) N(%d) N",i,i);
   strcat(filerest,fileres);        fprintf(ficresp, "\n");
   if((ficrest=fopen(filerest,"w"))==NULL) {        
     printf("Problem with total LE resultfile: %s\n", filerest);goto end;        for(i=iagemin; i <= iagemax+3; i++){
   }          if(i==iagemax+3){
   printf("Computing Total LEs with variances: file '%s' \n", filerest);            fprintf(ficlog,"Total");
           }else{
             if(first==1){
   strcpy(filerese,"e");              first=0;
   strcat(filerese,fileres);              printf("See log file for details...\n");
   if((ficreseij=fopen(filerese,"w"))==NULL) {            }
     printf("Problem with Health Exp. resultfile: %s\n", filerese); exit(0);            fprintf(ficlog,"Age %d", i);
   }          }
   printf("Computing Health Expectancies: result on file '%s' \n", filerese);          for(jk=1; jk <=nlstate ; jk++){
             for(m=-1, pp[jk]=0; m <=nlstate+ndeath ; m++)
  strcpy(fileresv,"v");              pp[jk] += freq[jk][m][i]; 
   strcat(fileresv,fileres);          }
   if((ficresvij=fopen(fileresv,"w"))==NULL) {          for(jk=1; jk <=nlstate ; jk++){
     printf("Problem with variance resultfile: %s\n", fileresv);exit(0);            for(m=-1, pos=0; m <=0 ; m++)
   }              pos += freq[jk][m][i];
   printf("Computing Variance-covariance of DFLEs: file '%s' \n", fileresv);            if(pp[jk]>=1.e-10){
               if(first==1){
   k=0;                printf(" %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);
   for(cptcov=1;cptcov<=i1;cptcov++){              }
     for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){              fprintf(ficlog," %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);
       k=k+1;            }else{
       fprintf(ficrest,"\n#****** ");              if(first==1)
       for(j=1;j<=cptcovn;j++)                printf(" %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);
         fprintf(ficrest,"V%d=%d ",Tvar[j],nbcode[Tvar[j]][codtab[k][j]]);              fprintf(ficlog," %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);
       fprintf(ficrest,"******\n");            }
           }
       fprintf(ficreseij,"\n#****** ");  
       for(j=1;j<=cptcovn;j++)          for(jk=1; jk <=nlstate ; jk++){
         fprintf(ficreseij,"V%d=%d ",j,nbcode[j][codtab[k][j]]);            for(m=0, pp[jk]=0; m <=nlstate+ndeath; m++)
       fprintf(ficreseij,"******\n");              pp[jk] += freq[jk][m][i];
           }       
       fprintf(ficresvij,"\n#****** ");          for(jk=1,pos=0,posprop=0; jk <=nlstate ; jk++){
       for(j=1;j<=cptcovn;j++)            pos += pp[jk];
         fprintf(ficresvij,"V%d=%d ",j,nbcode[j][codtab[k][j]]);            posprop += prop[jk][i];
       fprintf(ficresvij,"******\n");          }
           for(jk=1; jk <=nlstate ; jk++){
       eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);            if(pos>=1.e-5){
       oldm=oldms;savm=savms;              if(first==1)
       evsij(fileres, eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k);                  printf(" %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);
       vareij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);              fprintf(ficlog," %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);
       oldm=oldms;savm=savms;            }else{
       varevsij(fileres, vareij, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k);              if(first==1)
                      printf(" %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);
       fprintf(ficrest,"#Total LEs with variances: e.. (std) ");              fprintf(ficlog," %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);
       for (i=1;i<=nlstate;i++) fprintf(ficrest,"e.%d (std) ",i);            }
       fprintf(ficrest,"\n");            if( i <= iagemax){
                      if(pos>=1.e-5){
       hf=1;                fprintf(ficresp," %d %.5f %.0f %.0f",i,prop[jk][i]/posprop, prop[jk][i],posprop);
       if (stepm >= YEARM) hf=stepm/YEARM;                /*probs[i][jk][j1]= pp[jk]/pos;*/
       epj=vector(1,nlstate+1);                /*printf("\ni=%d jk=%d j1=%d %.5f %.0f %.0f %f",i,jk,j1,pp[jk]/pos, pp[jk],pos,probs[i][jk][j1]);*/
       for(age=bage; age <=fage ;age++){              }
         prevalim(prlim, nlstate, p, age, oldm, savm,ftolpl,k);              else
         fprintf(ficrest," %.0f",age);                fprintf(ficresp," %d NaNq %.0f %.0f",i,prop[jk][i],posprop);
         for(j=1, epj[nlstate+1]=0.;j <=nlstate;j++){            }
           for(i=1, epj[j]=0.;i <=nlstate;i++) {          }
             epj[j] += prlim[i][i]*hf*eij[i][j][(int)age];          
           }          for(jk=-1; jk <=nlstate+ndeath; jk++)
           epj[nlstate+1] +=epj[j];            for(m=-1; m <=nlstate+ndeath; m++)
         }              if(freq[jk][m][i] !=0 ) {
         for(i=1, vepp=0.;i <=nlstate;i++)              if(first==1)
           for(j=1;j <=nlstate;j++)                printf(" %d%d=%.0f",jk,m,freq[jk][m][i]);
             vepp += vareij[i][j][(int)age];                fprintf(ficlog," %d%d=%.0f",jk,m,freq[jk][m][i]);
         fprintf(ficrest," %.2f (%.2f)", epj[nlstate+1],hf*sqrt(vepp));              }
         for(j=1;j <=nlstate;j++){          if(i <= iagemax)
           fprintf(ficrest," %.2f (%.2f)", epj[j],hf*sqrt(vareij[j][j][(int)age]));            fprintf(ficresp,"\n");
         }          if(first==1)
         fprintf(ficrest,"\n");            printf("Others in log...\n");
       }          fprintf(ficlog,"\n");
     }        }
   }        /*}*/
            }
  fclose(ficreseij);    dateintmean=dateintsum/k2cpt; 
  fclose(ficresvij);   
   fclose(ficrest);    fclose(ficresp);
   fclose(ficpar);    free_ma3x(freq,-5,nlstate+ndeath,-5,nlstate+ndeath, iagemin, iagemax+3);
   free_vector(epj,1,nlstate+1);    free_vector(pp,1,nlstate);
   /*scanf("%d ",i); */    free_matrix(prop,1,nlstate,iagemin, iagemax+3);
     /* End of Freq */
   /*------- Variance limit prevalence------*/    }
   
 strcpy(fileresvpl,"vpl");  /************ Prevalence ********************/
   strcat(fileresvpl,fileres);  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((ficresvpl=fopen(fileresvpl,"w"))==NULL) {  {  
     printf("Problem with variance prev lim resultfile: %s\n", fileresvpl);    /* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people
     exit(0);       in each health status at the date of interview (if between dateprev1 and dateprev2).
   }       We still use firstpass and lastpass as another selection.
   printf("Computing Variance-covariance of Prevalence limit: file '%s' \n", fileresvpl);    */
    
  k=0;    int i, m, jk, k1, i1, j1, bool, z1,j;
  for(cptcov=1;cptcov<=i1;cptcov++){    double ***freq; /* Frequencies */
    for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){    double *pp, **prop;
      k=k+1;    double pos,posprop; 
      fprintf(ficresvpl,"\n#****** ");    double  y2; /* in fractional years */
      for(j=1;j<=cptcovn;j++)    int iagemin, iagemax;
        fprintf(ficresvpl,"V%d=%d ",Tvar[j],nbcode[Tvar[j]][codtab[k][j]]);    int first; /** to stop verbosity which is redirected to log file */
      fprintf(ficresvpl,"******\n");  
          iagemin= (int) agemin;
      varpl=matrix(1,nlstate,(int) bage, (int) fage);    iagemax= (int) agemax;
      oldm=oldms;savm=savms;    /*pp=vector(1,nlstate);*/
      varprevlim(fileres, varpl, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k);    prop=matrix(1,nlstate,iagemin,iagemax+3); 
    }    /*  freq=ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,iagemin,iagemax+3);*/
  }    j1=0;
     
   fclose(ficresvpl);    /*j=cptcoveff;*/
     if (cptcovn<1) {j=1;ncodemax[1]=1;}
   /*---------- End : free ----------------*/    
   free_matrix(varpl,1,nlstate,(int) bage, (int)fage);    first=1;
      for(j1=1; j1<= (int) pow(2,cptcoveff);j1++){
   free_ma3x(vareij,1,nlstate,1,nlstate,(int) bage, (int)fage);      /*for(i1=1; i1<=ncodemax[k1];i1++){
   free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);        j1++;*/
          
          for (i=1; i<=nlstate; i++)  
   free_matrix(pmmij,1,nlstate+ndeath,1,nlstate+ndeath);          for(m=iagemin; m <= iagemax+3; m++)
   free_matrix(oldms, 1,nlstate+ndeath,1,nlstate+ndeath);            prop[i][m]=0.0;
   free_matrix(newms, 1,nlstate+ndeath,1,nlstate+ndeath);       
   free_matrix(savms, 1,nlstate+ndeath,1,nlstate+ndeath);        for (i=1; i<=imx; i++) { /* Each individual */
            bool=1;
   free_matrix(matcov,1,npar,1,npar);          if  (cptcovn>0) {
   free_vector(delti,1,npar);            for (z1=1; z1<=cptcoveff; z1++) 
                if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtab[j1][z1]]) 
   free_ma3x(param,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel);                bool=0;
           } 
   printf("End of Imach\n");          if (bool==1) { 
   /*  gettimeofday(&end_time, (struct timezone*)0);*/  /* after time */            for(m=firstpass; m<=lastpass; m++){/* Other selection (we can limit to certain interviews*/
                y2=anint[m][i]+(mint[m][i]/12.); /* Fractional date in year */
   /* 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);*/              if ((y2>=dateprev1) && (y2<=dateprev2)) { /* Here is the main selection (fractional years) */
   /*printf("Total time was %d uSec.\n", total_usecs);*/                if(agev[m][i]==0) agev[m][i]=iagemax+1;
   /*------ End -----------*/                if(agev[m][i]==1) agev[m][i]=iagemax+2;
                 if((int)agev[m][i] <iagemin || (int)agev[m][i] >iagemax+3) printf("Error on individual =%d agev[m][i]=%f m=%d\n",i, agev[m][i],m); 
  end:                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]]);*/
  chdir(pathcd);                  prop[s[m][i]][(int)agev[m][i]] += weight[i];
 #endif                  prop[s[m][i]][iagemax+3] += weight[i]; 
  system("wgnuplot graph.plt");                } 
               }
 #ifdef windows            } /* end selection of waves */
   while (z[0] != 'q') {          }
     chdir(pathcd);        }
     printf("\nType e to edit output files, c to start again, and q for exiting: ");        for(i=iagemin; i <= iagemax+3; i++){  
     scanf("%s",z);          for(jk=1,posprop=0; jk <=nlstate ; jk++) { 
     if (z[0] == 'c') system("./imach");            posprop += prop[jk][i]; 
     else if (z[0] == 'e') {          } 
       chdir(path);          
       system("index.htm");          for(jk=1; jk <=nlstate ; jk++){     
     }            if( i <=  iagemax){ 
     else if (z[0] == 'q') exit(0);              if(posprop>=1.e-5){ 
   }                probs[i][jk][j1]= prop[jk][i]/posprop;
 #endif              } else{
 }                if(first==1){
                   first=0;
                   printf("Warning Observed prevalence probs[%d][%d][%d]=%lf because of lack of cases\nSee others on log file...\n",jk,i,j1,probs[i][jk][j1]);
                 }
               }
             } 
           }/* end jk */ 
         }/* end i */ 
       /*} *//* end i1 */
     } /* end j1 */
     
     /*  free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath, iagemin, iagemax+3);*/
     /*free_vector(pp,1,nlstate);*/
     free_matrix(prop,1,nlstate, iagemin,iagemax+3);
   }  /* End of prevalence */
   
   /************* Waves Concatenation ***************/
   
   void  concatwav(int wav[], int **dh, int **bh,  int **mw, int **s, double *agedc, double **agev, int  firstpass, int lastpass, int imx, int nlstate, int stepm)
   {
     /* Concatenates waves: wav[i] is the number of effective (useful waves) of individual i.
        Death is a valid wave (if date is known).
        mw[mi][i] is the mi (mi=1 to wav[i])  effective wave of individual i
        dh[m][i] or dh[mw[mi][i]][i] is the delay between two effective waves m=mw[mi][i]
        and mw[mi+1][i]. dh depends on stepm.
        */
   
     int i, mi, m;
     /* int j, k=0,jk, ju, jl,jmin=1e+5, jmax=-1;
        double sum=0., jmean=0.;*/
     int first;
     int j, k=0,jk, ju, jl;
     double sum=0.;
     first=0;
     jmin=1e+5;
     jmax=-1;
     jmean=0.;
     for(i=1; i<=imx; i++){
       mi=0;
       m=firstpass;
       while(s[m][i] <= nlstate){
         if(s[m][i]>=1 || s[m][i]==-2 || s[m][i]==-4 || s[m][i]==-5)
           mw[++mi][i]=m;
         if(m >=lastpass)
           break;
         else
           m++;
       }/* end while */
       if (s[m][i] > nlstate){
         mi++;     /* Death is another wave */
         /* if(mi==0)  never been interviewed correctly before death */
            /* Only death is a correct wave */
         mw[mi][i]=m;
       }
   
       wav[i]=mi;
       if(mi==0){
         nbwarn++;
         if(first==0){
           printf("Warning! No valid information for individual %ld line=%d (skipped) and may be others, see log file\n",num[i],i);
           first=1;
         }
         if(first==1){
           fprintf(ficlog,"Warning! No valid information for individual %ld line=%d (skipped)\n",num[i],i);
         }
       } /* end mi==0 */
     } /* End individuals */
   
     for(i=1; i<=imx; i++){
       for(mi=1; mi<wav[i];mi++){
         if (stepm <=0)
           dh[mi][i]=1;
         else{
           if (s[mw[mi+1][i]][i] > nlstate) { /* A death */
             if (agedc[i] < 2*AGESUP) {
               j= rint(agedc[i]*12-agev[mw[mi][i]][i]*12); 
               if(j==0) j=1;  /* Survives at least one month after exam */
               else if(j<0){
                 nberr++;
                 printf("Error! Negative delay (%d to death) between waves %d and %d of individual %ld at line %d who is aged %.1f with statuses from %d to %d\n ",j,mw[mi][i],mw[mi+1][i],num[i], i,agev[mw[mi][i]][i],s[mw[mi][i]][i] ,s[mw[mi+1][i]][i]);
                 j=1; /* Temporary Dangerous patch */
                 printf("   We assumed that the date of interview was correct (and not the date of death) and postponed the death %d month(s) (one stepm) after the interview. You MUST fix the contradiction between dates.\n",stepm);
                 fprintf(ficlog,"Error! Negative delay (%d to death) between waves %d and %d of individual %ld at line %d who is aged %.1f with statuses from %d to %d\n ",j,mw[mi][i],mw[mi+1][i],num[i], i,agev[mw[mi][i]][i],s[mw[mi][i]][i] ,s[mw[mi+1][i]][i]);
                 fprintf(ficlog,"   We assumed that the date of interview was correct (and not the date of death) and postponed the death %d month(s) (one stepm) after the interview. You MUST fix the contradiction between dates.\n",stepm);
               }
               k=k+1;
               if (j >= jmax){
                 jmax=j;
                 ijmax=i;
               }
               if (j <= jmin){
                 jmin=j;
                 ijmin=i;
               }
               sum=sum+j;
               /*if (j<0) printf("j=%d num=%d \n",j,i);*/
               /*    printf("%d %d %d %d\n", s[mw[mi][i]][i] ,s[mw[mi+1][i]][i],j,i);*/
             }
           }
           else{
             j= rint( (agev[mw[mi+1][i]][i]*12 - agev[mw[mi][i]][i]*12));
   /*        if (j<0) printf("%d %lf %lf %d %d %d\n", i,agev[mw[mi+1][i]][i], agev[mw[mi][i]][i],j,s[mw[mi][i]][i] ,s[mw[mi+1][i]][i]); */
   
             k=k+1;
             if (j >= jmax) {
               jmax=j;
               ijmax=i;
             }
             else if (j <= jmin){
               jmin=j;
               ijmin=i;
             }
             /*        if (j<10) printf("j=%d jmin=%d num=%d ",j,jmin,i); */
             /*printf("%d %lf %d %d %d\n", i,agev[mw[mi][i]][i],j,s[mw[mi][i]][i] ,s[mw[mi+1][i]][i]);*/
             if(j<0){
               nberr++;
               printf("Error! Negative delay (%d) between waves %d and %d of individual %ld at line %d who is aged %.1f with statuses from %d to %d\n ",j,mw[mi][i],mw[mi+1][i],num[i], i,agev[mw[mi][i]][i],s[mw[mi][i]][i] ,s[mw[mi+1][i]][i]);
               fprintf(ficlog,"Error! Negative delay (%d) between waves %d and %d of individual %ld at line %d who is aged %.1f with statuses from %d to %d\n ",j,mw[mi][i],mw[mi+1][i],num[i], i,agev[mw[mi][i]][i],s[mw[mi][i]][i] ,s[mw[mi+1][i]][i]);
             }
             sum=sum+j;
           }
           jk= j/stepm;
           jl= j -jk*stepm;
           ju= j -(jk+1)*stepm;
           if(mle <=1){ /* only if we use a the linear-interpoloation pseudo-likelihood */
             if(jl==0){
               dh[mi][i]=jk;
               bh[mi][i]=0;
             }else{ /* We want a negative bias in order to only have interpolation ie
                     * to avoid the price of an extra matrix product in likelihood */
               dh[mi][i]=jk+1;
               bh[mi][i]=ju;
             }
           }else{
             if(jl <= -ju){
               dh[mi][i]=jk;
               bh[mi][i]=jl;       /* bias is positive if real duration
                                    * is higher than the multiple of stepm and negative otherwise.
                                    */
             }
             else{
               dh[mi][i]=jk+1;
               bh[mi][i]=ju;
             }
             if(dh[mi][i]==0){
               dh[mi][i]=1; /* At least one step */
               bh[mi][i]=ju; /* At least one step */
               /*  printf(" bh=%d ju=%d jl=%d dh=%d jk=%d stepm=%d %d\n",bh[mi][i],ju,jl,dh[mi][i],jk,stepm,i);*/
             }
           } /* end if mle */
         }
       } /* end wave */
     }
     jmean=sum/k;
     printf("Delay (in months) between two waves Min=%d (for indiviudal %ld) Max=%d (%ld) Mean=%f\n\n ",jmin, num[ijmin], jmax, num[ijmax], jmean);
     fprintf(ficlog,"Delay (in months) between two waves Min=%d (for indiviudal %d) Max=%d (%d) Mean=%f\n\n ",jmin, ijmin, jmax, ijmax, jmean);
    }
   
   /*********** Tricode ****************************/
   void tricode(int *Tvar, int **nbcode, int imx, int *Ndum)
   {
     /**< Uses cptcovn+2*cptcovprod as the number of covariates */
     /*      Tvar[i]=atoi(stre);  find 'n' in Vn and stores in Tvar. If model=V2+V1 Tvar[1]=2 and Tvar[2]=1 
     /* Boring subroutine which should only output nbcode[Tvar[j]][k]
      * Tvar[5] in V2+V1+V3*age+V2*V4 is 2 (V2)
     /* nbcode[Tvar[j]][1]= 
     */
   
     int ij=1, k=0, j=0, i=0, maxncov=NCOVMAX;
     int modmaxcovj=0; /* Modality max of covariates j */
     int cptcode=0; /* Modality max of covariates j */
     int modmincovj=0; /* Modality min of covariates j */
   
   
     cptcoveff=0; 
    
     for (k=-1; k < maxncov; k++) Ndum[k]=0;
     for (k=1; k <= maxncov; k++) ncodemax[k]=0; /* Horrible constant again replaced by NCOVMAX */
   
     /* Loop on covariates without age and products */
     for (j=1; j<=(cptcovs); j++) { /* model V1 + V2*age+ V3 + V3*V4 : V1 + V3 = 2 only */
       for (i=1; i<=imx; i++) { /* Lopp on individuals: reads the data file to get the maximum value of the 
                                  modality of this covariate Vj*/ 
         ij=(int)(covar[Tvar[j]][i]); /* ij=0 or 1 or -1. Value of the covariate Tvar[j] for individual i
                                       * If product of Vn*Vm, still boolean *:
                                       * If it was coded 1, 2, 3, 4 should be splitted into 3 boolean variables
                                       * 1 => 0 0 0, 2 => 0 0 1, 3 => 0 1 1, 4=1 0 0   */
         /* Finds for covariate j, n=Tvar[j] of Vn . ij is the
                                         modality of the nth covariate of individual i. */
         if (ij > modmaxcovj)
           modmaxcovj=ij; 
         else if (ij < modmincovj) 
           modmincovj=ij; 
         if ((ij < -1) && (ij > NCOVMAX)){
           printf( "Error: minimal is less than -1 or maximal is bigger than %d. Exiting. \n", NCOVMAX );
           exit(1);
         }else
         Ndum[ij]++; /*counts and stores the occurence of this modality 0, 1, -1*/
         /*  If coded 1, 2, 3 , counts the number of 1 Ndum[1], number of 2, Ndum[2], etc */
         /*printf("i=%d ij=%d Ndum[ij]=%d imx=%d",i,ij,Ndum[ij],imx);*/
         /* getting the maximum value of the modality of the covariate
            (should be 0 or 1 now) Tvar[j]. If V=sex and male is coded 0 and
            female is 1, then modmaxcovj=1.*/
       }
       printf(" Minimal and maximal values of %d th covariate V%d: min=%d max=%d \n", j, Tvar[j], modmincovj, modmaxcovj);
       cptcode=modmaxcovj;
       /* Ndum[0] = frequency of 0 for model-covariate j, Ndum[1] frequency of 1 etc. */
      /*for (i=0; i<=cptcode; i++) {*/
       for (i=modmincovj;  i<=modmaxcovj; i++) { /* i=-1 ? 0 and 1*//* For each value of the modality of model-cov j */
         printf("Frequencies of covariates %d V%d %d\n", j, Tvar[j], Ndum[i]);
         if( Ndum[i] != 0 ){ /* Counts if nobody answered, empty modality */
           ncodemax[j]++;  /* ncodemax[j]= Number of non-null modalities of the j th covariate. */
         }
         /* In fact  ncodemax[j]=2 (dichotom. variables only) but it could be more for
            historical reasons: 3 if coded 1, 2, 3 and 4 and Ndum[2]=0 */
       } /* Ndum[-1] number of undefined modalities */
   
       /* j is a covariate, n=Tvar[j] of Vn; Fills nbcode */
       /* For covariate j, modalities could be 1, 2, 3, 4. If Ndum[2]=0 ncodemax[j] is not 4 but 3 */
       /* If Ndum[3}= 635; Ndum[4]=0; Ndum[5]=0; Ndum[6]=27; Ndum[7]=125;
          modmincovj=3; modmaxcovj = 7;
          There are only 3 modalities non empty (or 2 if 27 is too few) : ncodemax[j]=3;
          which will be coded 0, 1, 2 which in binary on 3-1 digits are 0=00 1=01, 2=10; defining two dummy 
          variables V1_1 and V1_2.
          nbcode[Tvar[j]][ij]=k;
          nbcode[Tvar[j]][1]=0;
          nbcode[Tvar[j]][2]=1;
          nbcode[Tvar[j]][3]=2;
       */
       ij=1; /* ij is similar to i but can jumps over null modalities */
       for (i=modmincovj; i<=modmaxcovj; i++) { /* i= 1 to 2 for dichotomous, or from 1 to 3 */
         for (k=0; k<= cptcode; k++) { /* k=-1 ? k=0 to 1 *//* Could be 1 to 4 */
           /*recode from 0 */
           if (Ndum[k] != 0) { /* If at least one individual responded to this modality k */
             nbcode[Tvar[j]][ij]=k;  /* stores the modality in an array nbcode. 
                                        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; */
             ij++;
           }
           if (ij > ncodemax[j]) break; 
         }  /* end of loop on */
       } /* end of loop on modality */ 
     } /* end of loop on model-covariate j. nbcode[Tvarj][1]=0 and nbcode[Tvarj][2]=1 sets the value of covariate j*/  
     
    for (k=-1; k< maxncov; k++) Ndum[k]=0; 
     
     for (i=1; i<=ncovmodel-2; i++) { /* -2, cste and age */ 
      /* Listing of all covariables in statement model to see if some covariates appear twice. For example, V1 appears twice in V1+V1*V2.*/ 
      ij=Tvar[i]; /* Tvar might be -1 if status was unknown */ 
      Ndum[ij]++; 
    } 
   
    ij=1;
    for (i=0; i<=  maxncov-1; i++) { /* modmaxcovj is unknown here. Only Ndum[2(V2),3(age*V3), 5(V3*V2) 6(V1*V4) */
      /*printf("Ndum[%d]=%d\n",i, Ndum[i]);*/
      if((Ndum[i]!=0) && (i<=ncovcol)){
        /*printf("diff Ndum[%d]=%d\n",i, Ndum[i]);*/
        Tvaraff[ij]=i; /*For printing (unclear) */
        ij++;
      }else
          Tvaraff[ij]=0;
    }
    ij--;
    cptcoveff=ij; /*Number of total covariates*/
   
   }
   
   
   /*********** Health Expectancies ****************/
   
   void evsij(double ***eij, double x[], int nlstate, int stepm, int bage, int fage, double **oldm, double **savm, int cij, int estepm,char strstart[] )
   
   {
     /* Health expectancies, no variances */
     int i, j, nhstepm, hstepm, h, nstepm, k, cptj, cptj2, i2, j2;
     int nhstepma, nstepma; /* Decreasing with age */
     double age, agelim, hf;
     double ***p3mat;
     double eip;
   
     pstamp(ficreseij);
     fprintf(ficreseij,"# (a) Life expectancies by health status at initial age and (b) health expectancies by health status at initial age\n");
     fprintf(ficreseij,"# Age");
     for(i=1; i<=nlstate;i++){
       for(j=1; j<=nlstate;j++){
         fprintf(ficreseij," e%1d%1d ",i,j);
       }
       fprintf(ficreseij," e%1d. ",i);
     }
     fprintf(ficreseij,"\n");
   
     
     if(estepm < stepm){
       printf ("Problem %d lower than %d\n",estepm, stepm);
     }
     else  hstepm=estepm;   
     /* We compute the life expectancy from trapezoids spaced every estepm months
      * This is mainly to measure the difference between two models: for example
      * if stepm=24 months pijx are given only every 2 years and by summing them
      * we are calculating an estimate of the Life Expectancy assuming a linear 
      * progression in between and thus overestimating or underestimating according
      * to the curvature of the survival function. If, for the same date, we 
      * estimate the model with stepm=1 month, we can keep estepm to 24 months
      * to compare the new estimate of Life expectancy with the same linear 
      * hypothesis. A more precise result, taking into account a more precise
      * curvature will be obtained if estepm is as small as stepm. */
   
     /* For example we decided to compute the life expectancy with the smallest unit */
     /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
        nhstepm is the number of hstepm from age to agelim 
        nstepm is the number of stepm from age to agelin. 
        Look at hpijx to understand the reason of that which relies in memory size
        and note for a fixed period like estepm months */
     /* We decided (b) to get a life expectancy respecting the most precise curvature of the
        survival function given by stepm (the optimization length). Unfortunately it
        means that if the survival funtion is printed only each two years of age and if
        you sum them up and add 1 year (area under the trapezoids) you won't get the same 
        results. So we changed our mind and took the option of the best precision.
     */
     hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
   
     agelim=AGESUP;
     /* If stepm=6 months */
       /* Computed by stepm unit matrices, product of hstepm matrices, stored
          in an array of nhstepm length: nhstepm=10, hstepm=4, stepm=6 months */
       
   /* nhstepm age range expressed in number of stepm */
     nstepm=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
     /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
     /* if (stepm >= YEARM) hstepm=1;*/
     nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
     p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
   
     for (age=bage; age<=fage; age ++){ 
       nstepma=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
       /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
       /* if (stepm >= YEARM) hstepm=1;*/
       nhstepma = nstepma/hstepm;/* Expressed in hstepm, typically nhstepma=40/4=10 */
   
       /* If stepm=6 months */
       /* Computed by stepm unit matrices, product of hstepma matrices, stored
          in an array of nhstepma length: nhstepma=10, hstepm=4, stepm=6 months */
       
       hpxij(p3mat,nhstepma,age,hstepm,x,nlstate,stepm,oldm, savm, cij);  
       
       hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
       
       printf("%d|",(int)age);fflush(stdout);
       fprintf(ficlog,"%d|",(int)age);fflush(ficlog);
       
       /* Computing expectancies */
       for(i=1; i<=nlstate;i++)
         for(j=1; j<=nlstate;j++)
           for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){
             eij[i][j][(int)age] += (p3mat[i][j][h]+p3mat[i][j][h+1])/2.0*hf;
             
             /* if((int)age==70)printf("i=%2d,j=%2d,h=%2d,age=%3d,%9.4f,%9.4f,%9.4f\n",i,j,h,(int)age,p3mat[i][j][h],hf,eij[i][j][(int)age]);*/
   
           }
   
       fprintf(ficreseij,"%3.0f",age );
       for(i=1; i<=nlstate;i++){
         eip=0;
         for(j=1; j<=nlstate;j++){
           eip +=eij[i][j][(int)age];
           fprintf(ficreseij,"%9.4f", eij[i][j][(int)age] );
         }
         fprintf(ficreseij,"%9.4f", eip );
       }
       fprintf(ficreseij,"\n");
       
     }
     free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
     printf("\n");
     fprintf(ficlog,"\n");
     
   }
   
   void cvevsij(double ***eij, double x[], int nlstate, int stepm, int bage, int fage, double **oldm, double **savm, int cij, int estepm,double delti[],double **matcov,char strstart[] )
   
   {
     /* Covariances of health expectancies eij and of total life expectancies according
      to initial status i, ei. .
     */
     int i, j, nhstepm, hstepm, h, nstepm, k, cptj, cptj2, i2, j2, ij, ji;
     int nhstepma, nstepma; /* Decreasing with age */
     double age, agelim, hf;
     double ***p3matp, ***p3matm, ***varhe;
     double **dnewm,**doldm;
     double *xp, *xm;
     double **gp, **gm;
     double ***gradg, ***trgradg;
     int theta;
   
     double eip, vip;
   
     varhe=ma3x(1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int) fage);
     xp=vector(1,npar);
     xm=vector(1,npar);
     dnewm=matrix(1,nlstate*nlstate,1,npar);
     doldm=matrix(1,nlstate*nlstate,1,nlstate*nlstate);
     
     pstamp(ficresstdeij);
     fprintf(ficresstdeij,"# Health expectancies with standard errors\n");
     fprintf(ficresstdeij,"# Age");
     for(i=1; i<=nlstate;i++){
       for(j=1; j<=nlstate;j++)
         fprintf(ficresstdeij," e%1d%1d (SE)",i,j);
       fprintf(ficresstdeij," e%1d. ",i);
     }
     fprintf(ficresstdeij,"\n");
   
     pstamp(ficrescveij);
     fprintf(ficrescveij,"# Subdiagonal matrix of covariances of health expectancies by age: cov(eij,ekl)\n");
     fprintf(ficrescveij,"# Age");
     for(i=1; i<=nlstate;i++)
       for(j=1; j<=nlstate;j++){
         cptj= (j-1)*nlstate+i;
         for(i2=1; i2<=nlstate;i2++)
           for(j2=1; j2<=nlstate;j2++){
             cptj2= (j2-1)*nlstate+i2;
             if(cptj2 <= cptj)
               fprintf(ficrescveij,"  %1d%1d,%1d%1d",i,j,i2,j2);
           }
       }
     fprintf(ficrescveij,"\n");
     
     if(estepm < stepm){
       printf ("Problem %d lower than %d\n",estepm, stepm);
     }
     else  hstepm=estepm;   
     /* We compute the life expectancy from trapezoids spaced every estepm months
      * This is mainly to measure the difference between two models: for example
      * if stepm=24 months pijx are given only every 2 years and by summing them
      * we are calculating an estimate of the Life Expectancy assuming a linear 
      * progression in between and thus overestimating or underestimating according
      * to the curvature of the survival function. If, for the same date, we 
      * estimate the model with stepm=1 month, we can keep estepm to 24 months
      * to compare the new estimate of Life expectancy with the same linear 
      * hypothesis. A more precise result, taking into account a more precise
      * curvature will be obtained if estepm is as small as stepm. */
   
     /* For example we decided to compute the life expectancy with the smallest unit */
     /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
        nhstepm is the number of hstepm from age to agelim 
        nstepm is the number of stepm from age to agelin. 
        Look at hpijx to understand the reason of that which relies in memory size
        and note for a fixed period like estepm months */
     /* We decided (b) to get a life expectancy respecting the most precise curvature of the
        survival function given by stepm (the optimization length). Unfortunately it
        means that if the survival funtion is printed only each two years of age and if
        you sum them up and add 1 year (area under the trapezoids) you won't get the same 
        results. So we changed our mind and took the option of the best precision.
     */
     hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
   
     /* If stepm=6 months */
     /* nhstepm age range expressed in number of stepm */
     agelim=AGESUP;
     nstepm=(int) rint((agelim-bage)*YEARM/stepm); 
     /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
     /* if (stepm >= YEARM) hstepm=1;*/
     nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
     
     p3matp=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
     p3matm=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
     gradg=ma3x(0,nhstepm,1,npar,1,nlstate*nlstate);
     trgradg =ma3x(0,nhstepm,1,nlstate*nlstate,1,npar);
     gp=matrix(0,nhstepm,1,nlstate*nlstate);
     gm=matrix(0,nhstepm,1,nlstate*nlstate);
   
     for (age=bage; age<=fage; age ++){ 
       nstepma=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
       /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
       /* if (stepm >= YEARM) hstepm=1;*/
       nhstepma = nstepma/hstepm;/* Expressed in hstepm, typically nhstepma=40/4=10 */
   
       /* If stepm=6 months */
       /* Computed by stepm unit matrices, product of hstepma matrices, stored
          in an array of nhstepma length: nhstepma=10, hstepm=4, stepm=6 months */
       
       hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
   
       /* Computing  Variances of health expectancies */
       /* Gradient is computed with plus gp and minus gm. Code is duplicated in order to
          decrease memory allocation */
       for(theta=1; theta <=npar; theta++){
         for(i=1; i<=npar; i++){ 
           xp[i] = x[i] + (i==theta ?delti[theta]:0);
           xm[i] = x[i] - (i==theta ?delti[theta]:0);
         }
         hpxij(p3matp,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, cij);  
         hpxij(p3matm,nhstepm,age,hstepm,xm,nlstate,stepm,oldm,savm, cij);  
     
         for(j=1; j<= nlstate; j++){
           for(i=1; i<=nlstate; i++){
             for(h=0; h<=nhstepm-1; h++){
               gp[h][(j-1)*nlstate + i] = (p3matp[i][j][h]+p3matp[i][j][h+1])/2.;
               gm[h][(j-1)*nlstate + i] = (p3matm[i][j][h]+p3matm[i][j][h+1])/2.;
             }
           }
         }
        
         for(ij=1; ij<= nlstate*nlstate; ij++)
           for(h=0; h<=nhstepm-1; h++){
             gradg[h][theta][ij]= (gp[h][ij]-gm[h][ij])/2./delti[theta];
           }
       }/* End theta */
       
       
       for(h=0; h<=nhstepm-1; h++)
         for(j=1; j<=nlstate*nlstate;j++)
           for(theta=1; theta <=npar; theta++)
             trgradg[h][j][theta]=gradg[h][theta][j];
       
   
        for(ij=1;ij<=nlstate*nlstate;ij++)
         for(ji=1;ji<=nlstate*nlstate;ji++)
           varhe[ij][ji][(int)age] =0.;
   
        printf("%d|",(int)age);fflush(stdout);
        fprintf(ficlog,"%d|",(int)age);fflush(ficlog);
        for(h=0;h<=nhstepm-1;h++){
         for(k=0;k<=nhstepm-1;k++){
           matprod2(dnewm,trgradg[h],1,nlstate*nlstate,1,npar,1,npar,matcov);
           matprod2(doldm,dnewm,1,nlstate*nlstate,1,npar,1,nlstate*nlstate,gradg[k]);
           for(ij=1;ij<=nlstate*nlstate;ij++)
             for(ji=1;ji<=nlstate*nlstate;ji++)
               varhe[ij][ji][(int)age] += doldm[ij][ji]*hf*hf;
         }
       }
   
       /* Computing expectancies */
       hpxij(p3matm,nhstepm,age,hstepm,x,nlstate,stepm,oldm, savm, cij);  
       for(i=1; i<=nlstate;i++)
         for(j=1; j<=nlstate;j++)
           for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){
             eij[i][j][(int)age] += (p3matm[i][j][h]+p3matm[i][j][h+1])/2.0*hf;
             
             /* if((int)age==70)printf("i=%2d,j=%2d,h=%2d,age=%3d,%9.4f,%9.4f,%9.4f\n",i,j,h,(int)age,p3mat[i][j][h],hf,eij[i][j][(int)age]);*/
   
           }
   
       fprintf(ficresstdeij,"%3.0f",age );
       for(i=1; i<=nlstate;i++){
         eip=0.;
         vip=0.;
         for(j=1; j<=nlstate;j++){
           eip += eij[i][j][(int)age];
           for(k=1; k<=nlstate;k++) /* Sum on j and k of cov(eij,eik) */
             vip += varhe[(j-1)*nlstate+i][(k-1)*nlstate+i][(int)age];
           fprintf(ficresstdeij," %9.4f (%.4f)", eij[i][j][(int)age], sqrt(varhe[(j-1)*nlstate+i][(j-1)*nlstate+i][(int)age]) );
         }
         fprintf(ficresstdeij," %9.4f (%.4f)", eip, sqrt(vip));
       }
       fprintf(ficresstdeij,"\n");
   
       fprintf(ficrescveij,"%3.0f",age );
       for(i=1; i<=nlstate;i++)
         for(j=1; j<=nlstate;j++){
           cptj= (j-1)*nlstate+i;
           for(i2=1; i2<=nlstate;i2++)
             for(j2=1; j2<=nlstate;j2++){
               cptj2= (j2-1)*nlstate+i2;
               if(cptj2 <= cptj)
                 fprintf(ficrescveij," %.4f", varhe[cptj][cptj2][(int)age]);
             }
         }
       fprintf(ficrescveij,"\n");
      
     }
     free_matrix(gm,0,nhstepm,1,nlstate*nlstate);
     free_matrix(gp,0,nhstepm,1,nlstate*nlstate);
     free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate*nlstate);
     free_ma3x(trgradg,0,nhstepm,1,nlstate*nlstate,1,npar);
     free_ma3x(p3matm,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
     free_ma3x(p3matp,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
     printf("\n");
     fprintf(ficlog,"\n");
   
     free_vector(xm,1,npar);
     free_vector(xp,1,npar);
     free_matrix(dnewm,1,nlstate*nlstate,1,npar);
     free_matrix(doldm,1,nlstate*nlstate,1,nlstate*nlstate);
     free_ma3x(varhe,1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int)fage);
   }
   
   /************ Variance ******************/
   void varevsij(char optionfilefiname[], double ***vareij, double **matcov, double x[], double delti[], int nlstate, int stepm, double bage, double fage, double **oldm, double **savm, double **prlim, double ftolpl, int ij, int estepm, int cptcov, int cptcod, int popbased, int mobilav, char strstart[])
   {
     /* Variance of health expectancies */
     /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);*/
     /* double **newm;*/
     double **dnewm,**doldm;
     double **dnewmp,**doldmp;
     int i, j, nhstepm, hstepm, h, nstepm ;
     int k, cptcode;
     double *xp;
     double **gp, **gm;  /* for var eij */
     double ***gradg, ***trgradg; /*for var eij */
     double **gradgp, **trgradgp; /* for var p point j */
     double *gpp, *gmp; /* for var p point j */
     double **varppt; /* for var p point j nlstate to nlstate+ndeath */
     double ***p3mat;
     double age,agelim, hf;
     double ***mobaverage;
     int theta;
     char digit[4];
     char digitp[25];
   
     char fileresprobmorprev[FILENAMELENGTH];
   
     if(popbased==1){
       if(mobilav!=0)
         strcpy(digitp,"-populbased-mobilav-");
       else strcpy(digitp,"-populbased-nomobil-");
     }
     else 
       strcpy(digitp,"-stablbased-");
   
     if (mobilav!=0) {
       mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
       if (movingaverage(probs, bage, fage, mobaverage,mobilav)!=0){
         fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
         printf(" Error in movingaverage mobilav=%d\n",mobilav);
       }
     }
   
     strcpy(fileresprobmorprev,"prmorprev"); 
     sprintf(digit,"%-d",ij);
     /*printf("DIGIT=%s, ij=%d ijr=%-d|\n",digit, ij,ij);*/
     strcat(fileresprobmorprev,digit); /* Tvar to be done */
     strcat(fileresprobmorprev,digitp); /* Popbased or not, mobilav or not */
     strcat(fileresprobmorprev,fileres);
     if((ficresprobmorprev=fopen(fileresprobmorprev,"w"))==NULL) {
       printf("Problem with resultfile: %s\n", fileresprobmorprev);
       fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobmorprev);
     }
     printf("Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
    
     fprintf(ficlog,"Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
     pstamp(ficresprobmorprev);
     fprintf(ficresprobmorprev,"# probabilities of dying before estepm=%d months for people of exact age and weighted probabilities w1*p1j+w2*p2j+... stand dev in()\n",estepm);
     fprintf(ficresprobmorprev,"# Age cov=%-d",ij);
     for(j=nlstate+1; j<=(nlstate+ndeath);j++){
       fprintf(ficresprobmorprev," p.%-d SE",j);
       for(i=1; i<=nlstate;i++)
         fprintf(ficresprobmorprev," w%1d p%-d%-d",i,i,j);
     }  
     fprintf(ficresprobmorprev,"\n");
     fprintf(ficgp,"\n# Routine varevsij");
     /* fprintf(fichtm, "#Local time at start: %s", strstart);*/
     fprintf(fichtm,"\n<li><h4> Computing probabilities of dying over estepm months as a weighted average (i.e global mortality independent of initial healh state)</h4></li>\n");
     fprintf(fichtm,"\n<br>%s  <br>\n",digitp);
   /*   } */
     varppt = matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
     pstamp(ficresvij);
     fprintf(ficresvij,"# Variance and covariance of health expectancies e.j \n#  (weighted average of eij where weights are ");
     if(popbased==1)
       fprintf(ficresvij,"the age specific prevalence observed (cross-sectionally) in the population i.e cross-sectionally\n in each health state (popbased=1) (mobilav=%d\n",mobilav);
     else
       fprintf(ficresvij,"the age specific period (stable) prevalences in each health state \n");
     fprintf(ficresvij,"# Age");
     for(i=1; i<=nlstate;i++)
       for(j=1; j<=nlstate;j++)
         fprintf(ficresvij," Cov(e.%1d, e.%1d)",i,j);
     fprintf(ficresvij,"\n");
   
     xp=vector(1,npar);
     dnewm=matrix(1,nlstate,1,npar);
     doldm=matrix(1,nlstate,1,nlstate);
     dnewmp= matrix(nlstate+1,nlstate+ndeath,1,npar);
     doldmp= matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
   
     gradgp=matrix(1,npar,nlstate+1,nlstate+ndeath);
     gpp=vector(nlstate+1,nlstate+ndeath);
     gmp=vector(nlstate+1,nlstate+ndeath);
     trgradgp =matrix(nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
     
     if(estepm < stepm){
       printf ("Problem %d lower than %d\n",estepm, stepm);
     }
     else  hstepm=estepm;   
     /* For example we decided to compute the life expectancy with the smallest unit */
     /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
        nhstepm is the number of hstepm from age to agelim 
        nstepm is the number of stepm from age to agelin. 
        Look at function hpijx to understand why (it is linked to memory size questions) */
     /* We decided (b) to get a life expectancy respecting the most precise curvature of the
        survival function given by stepm (the optimization length). Unfortunately it
        means that if the survival funtion is printed every two years of age and if
        you sum them up and add 1 year (area under the trapezoids) you won't get the same 
        results. So we changed our mind and took the option of the best precision.
     */
     hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
     agelim = AGESUP;
     for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
       nstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
       nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
       p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
       gradg=ma3x(0,nhstepm,1,npar,1,nlstate);
       gp=matrix(0,nhstepm,1,nlstate);
       gm=matrix(0,nhstepm,1,nlstate);
   
   
       for(theta=1; theta <=npar; theta++){
         for(i=1; i<=npar; i++){ /* Computes gradient x + delta*/
           xp[i] = x[i] + (i==theta ?delti[theta]:0);
         }
         hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);  
         prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);
   
         if (popbased==1) {
           if(mobilav ==0){
             for(i=1; i<=nlstate;i++)
               prlim[i][i]=probs[(int)age][i][ij];
           }else{ /* mobilav */ 
             for(i=1; i<=nlstate;i++)
               prlim[i][i]=mobaverage[(int)age][i][ij];
           }
         }
     
         for(j=1; j<= nlstate; j++){
           for(h=0; h<=nhstepm; h++){
             for(i=1, gp[h][j]=0.;i<=nlstate;i++)
               gp[h][j] += prlim[i][i]*p3mat[i][j][h];
           }
         }
         /* This for computing probability of death (h=1 means
            computed over hstepm matrices product = hstepm*stepm months) 
            as a weighted average of prlim.
         */
         for(j=nlstate+1;j<=nlstate+ndeath;j++){
           for(i=1,gpp[j]=0.; i<= nlstate; i++)
             gpp[j] += prlim[i][i]*p3mat[i][j][1];
         }    
         /* end probability of death */
   
         for(i=1; i<=npar; i++) /* Computes gradient x - delta */
           xp[i] = x[i] - (i==theta ?delti[theta]:0);
         hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);  
         prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);
    
         if (popbased==1) {
           if(mobilav ==0){
             for(i=1; i<=nlstate;i++)
               prlim[i][i]=probs[(int)age][i][ij];
           }else{ /* mobilav */ 
             for(i=1; i<=nlstate;i++)
               prlim[i][i]=mobaverage[(int)age][i][ij];
           }
         }
   
         for(j=1; j<= nlstate; j++){  /* Sum of wi * eij = e.j */
           for(h=0; h<=nhstepm; h++){
             for(i=1, gm[h][j]=0.;i<=nlstate;i++)
               gm[h][j] += prlim[i][i]*p3mat[i][j][h];
           }
         }
         /* This for computing probability of death (h=1 means
            computed over hstepm matrices product = hstepm*stepm months) 
            as a weighted average of prlim.
         */
         for(j=nlstate+1;j<=nlstate+ndeath;j++){
           for(i=1,gmp[j]=0.; i<= nlstate; i++)
            gmp[j] += prlim[i][i]*p3mat[i][j][1];
         }    
         /* end probability of death */
   
         for(j=1; j<= nlstate; j++) /* vareij */
           for(h=0; h<=nhstepm; h++){
             gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta];
           }
   
         for(j=nlstate+1; j<= nlstate+ndeath; j++){ /* var mu */
           gradgp[theta][j]= (gpp[j]-gmp[j])/2./delti[theta];
         }
   
       } /* End theta */
   
       trgradg =ma3x(0,nhstepm,1,nlstate,1,npar); /* veij */
   
       for(h=0; h<=nhstepm; h++) /* veij */
         for(j=1; j<=nlstate;j++)
           for(theta=1; theta <=npar; theta++)
             trgradg[h][j][theta]=gradg[h][theta][j];
   
       for(j=nlstate+1; j<=nlstate+ndeath;j++) /* mu */
         for(theta=1; theta <=npar; theta++)
           trgradgp[j][theta]=gradgp[theta][j];
     
   
       hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
       for(i=1;i<=nlstate;i++)
         for(j=1;j<=nlstate;j++)
           vareij[i][j][(int)age] =0.;
   
       for(h=0;h<=nhstepm;h++){
         for(k=0;k<=nhstepm;k++){
           matprod2(dnewm,trgradg[h],1,nlstate,1,npar,1,npar,matcov);
           matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg[k]);
           for(i=1;i<=nlstate;i++)
             for(j=1;j<=nlstate;j++)
               vareij[i][j][(int)age] += doldm[i][j]*hf*hf;
         }
       }
     
       /* pptj */
       matprod2(dnewmp,trgradgp,nlstate+1,nlstate+ndeath,1,npar,1,npar,matcov);
       matprod2(doldmp,dnewmp,nlstate+1,nlstate+ndeath,1,npar,nlstate+1,nlstate+ndeath,gradgp);
       for(j=nlstate+1;j<=nlstate+ndeath;j++)
         for(i=nlstate+1;i<=nlstate+ndeath;i++)
           varppt[j][i]=doldmp[j][i];
       /* end ppptj */
       /*  x centered again */
       hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm,savm, ij);  
       prevalim(prlim,nlstate,x,age,oldm,savm,ftolpl,ij);
    
       if (popbased==1) {
         if(mobilav ==0){
           for(i=1; i<=nlstate;i++)
             prlim[i][i]=probs[(int)age][i][ij];
         }else{ /* mobilav */ 
           for(i=1; i<=nlstate;i++)
             prlim[i][i]=mobaverage[(int)age][i][ij];
         }
       }
                
       /* This for computing probability of death (h=1 means
          computed over hstepm (estepm) matrices product = hstepm*stepm months) 
          as a weighted average of prlim.
       */
       for(j=nlstate+1;j<=nlstate+ndeath;j++){
         for(i=1,gmp[j]=0.;i<= nlstate; i++) 
           gmp[j] += prlim[i][i]*p3mat[i][j][1]; 
       }    
       /* end probability of death */
   
       fprintf(ficresprobmorprev,"%3d %d ",(int) age, ij);
       for(j=nlstate+1; j<=(nlstate+ndeath);j++){
         fprintf(ficresprobmorprev," %11.3e %11.3e",gmp[j], sqrt(varppt[j][j]));
         for(i=1; i<=nlstate;i++){
           fprintf(ficresprobmorprev," %11.3e %11.3e ",prlim[i][i],p3mat[i][j][1]);
         }
       } 
       fprintf(ficresprobmorprev,"\n");
   
       fprintf(ficresvij,"%.0f ",age );
       for(i=1; i<=nlstate;i++)
         for(j=1; j<=nlstate;j++){
           fprintf(ficresvij," %.4f", vareij[i][j][(int)age]);
         }
       fprintf(ficresvij,"\n");
       free_matrix(gp,0,nhstepm,1,nlstate);
       free_matrix(gm,0,nhstepm,1,nlstate);
       free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate);
       free_ma3x(trgradg,0,nhstepm,1,nlstate,1,npar);
       free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
     } /* End age */
     free_vector(gpp,nlstate+1,nlstate+ndeath);
     free_vector(gmp,nlstate+1,nlstate+ndeath);
     free_matrix(gradgp,1,npar,nlstate+1,nlstate+ndeath);
     free_matrix(trgradgp,nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
     fprintf(ficgp,"\nunset parametric;unset label; set ter png small size 320, 240");
     /* for(j=nlstate+1; j<= nlstate+ndeath; j++){ *//* Only the first actually */
     fprintf(ficgp,"\n set log y; unset log x;set xlabel \"Age\"; set ylabel \"Force of mortality (year-1)\";");
   /*   fprintf(ficgp,"\n plot \"%s\"  u 1:($3*%6.3f) not w l 1 ",fileresprobmorprev,YEARM/estepm); */
   /*   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)*%6.3f) t \"95\%% interval\" w l 2 ",fileresprobmorprev,YEARM/estepm); */
   /*   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)*%6.3f) not w l 2 ",fileresprobmorprev,YEARM/estepm); */
     fprintf(ficgp,"\n plot \"%s\"  u 1:($3) not w l lt 1 ",subdirf(fileresprobmorprev));
     fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)) t \"95\%% interval\" w l lt 2 ",subdirf(fileresprobmorprev));
     fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)) not w l lt 2 ",subdirf(fileresprobmorprev));
     fprintf(fichtm,"\n<br> File (multiple files are possible if covariates are present): <A href=\"%s\">%s</a>\n",subdirf(fileresprobmorprev),subdirf(fileresprobmorprev));
     fprintf(fichtm,"\n<br> Probability is computed over estepm=%d months. <br> <img src=\"%s%s.png\"> <br>\n", estepm,subdirf3(optionfilefiname,"varmuptjgr",digitp),digit);
     /*  fprintf(fichtm,"\n<br> Probability is computed over estepm=%d months and then divided by estepm and multiplied by %.0f in order to have the probability to die over a year <br> <img src=\"varmuptjgr%s%s.png\"> <br>\n", stepm,YEARM,digitp,digit);
   */
   /*   fprintf(ficgp,"\nset out \"varmuptjgr%s%s%s.png\";replot;",digitp,optionfilefiname,digit); */
     fprintf(ficgp,"\nset out \"%s%s.png\";replot;\n",subdirf3(optionfilefiname,"varmuptjgr",digitp),digit);
   
     free_vector(xp,1,npar);
     free_matrix(doldm,1,nlstate,1,nlstate);
     free_matrix(dnewm,1,nlstate,1,npar);
     free_matrix(doldmp,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
     free_matrix(dnewmp,nlstate+1,nlstate+ndeath,1,npar);
     free_matrix(varppt,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
     if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
     fclose(ficresprobmorprev);
     fflush(ficgp);
     fflush(fichtm); 
   }  /* end varevsij */
   
   /************ Variance of prevlim ******************/
   void varprevlim(char fileres[], double **varpl, double **matcov, double x[], double delti[], int nlstate, int stepm, double bage, double fage, double **oldm, double **savm, double **prlim, double ftolpl, int ij, char strstart[])
   {
     /* Variance of prevalence limit */
     /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double **savm,double ftolpl);*/
     double **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;
     
     pstamp(ficresvpl);
     fprintf(ficresvpl,"# Standard deviation of period (stable) prevalences \n");
     fprintf(ficresvpl,"# Age");
     for(i=1; i<=nlstate;i++)
         fprintf(ficresvpl," %1d-%1d",i,i);
     fprintf(ficresvpl,"\n");
   
     xp=vector(1,npar);
     dnewm=matrix(1,nlstate,1,npar);
     doldm=matrix(1,nlstate,1,nlstate);
     
     hstepm=1*YEARM; /* Every year of age */
     hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */ 
     agelim = AGESUP;
     for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
       nhstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
       if (stepm >= YEARM) hstepm=1;
       nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
       gradg=matrix(1,npar,1,nlstate);
       gp=vector(1,nlstate);
       gm=vector(1,nlstate);
   
       for(theta=1; theta <=npar; theta++){
         for(i=1; i<=npar; i++){ /* Computes gradient */
           xp[i] = x[i] + (i==theta ?delti[theta]:0);
         }
         prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);
         for(i=1;i<=nlstate;i++)
           gp[i] = prlim[i][i];
       
         for(i=1; i<=npar; i++) /* Computes gradient */
           xp[i] = x[i] - (i==theta ?delti[theta]:0);
         prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);
         for(i=1;i<=nlstate;i++)
           gm[i] = prlim[i][i];
   
         for(i=1;i<=nlstate;i++)
           gradg[theta][i]= (gp[i]-gm[i])/2./delti[theta];
       } /* End theta */
   
       trgradg =matrix(1,nlstate,1,npar);
   
       for(j=1; j<=nlstate;j++)
         for(theta=1; theta <=npar; theta++)
           trgradg[j][theta]=gradg[theta][j];
   
       for(i=1;i<=nlstate;i++)
         varpl[i][(int)age] =0.;
       matprod2(dnewm,trgradg,1,nlstate,1,npar,1,npar,matcov);
       matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg);
       for(i=1;i<=nlstate;i++)
         varpl[i][(int)age] = doldm[i][i]; /* Covariances are useless */
   
       fprintf(ficresvpl,"%.0f ",age );
       for(i=1; i<=nlstate;i++)
         fprintf(ficresvpl," %.5f (%.5f)",prlim[i][i],sqrt(varpl[i][(int)age]));
       fprintf(ficresvpl,"\n");
       free_vector(gp,1,nlstate);
       free_vector(gm,1,nlstate);
       free_matrix(gradg,1,npar,1,nlstate);
       free_matrix(trgradg,1,nlstate,1,npar);
     } /* End age */
   
     free_vector(xp,1,npar);
     free_matrix(doldm,1,nlstate,1,npar);
     free_matrix(dnewm,1,nlstate,1,nlstate);
   
   }
   
   /************ Variance of one-step probabilities  ******************/
   void varprob(char optionfilefiname[], double **matcov, double x[], double delti[], int nlstate, double bage, double fage, int ij, int *Tvar, int **nbcode, int *ncodemax, char strstart[])
   {
     int i, j=0,  i1, k1, l1, t, tj;
     int k2, l2, j1,  z1;
     int k=0,l, cptcode;
     int first=1, first1, first2;
     double cv12, mu1, mu2, lc1, lc2, v12, v21, v11, v22,v1,v2, c12, tnalp;
     double **dnewm,**doldm;
     double *xp;
     double *gp, *gm;
     double **gradg, **trgradg;
     double **mu;
     double age,agelim, cov[NCOVMAX+1];
     double std=2.0; /* Number of standard deviation wide of confidence ellipsoids */
     int theta;
     char fileresprob[FILENAMELENGTH];
     char fileresprobcov[FILENAMELENGTH];
     char fileresprobcor[FILENAMELENGTH];
     double ***varpij;
   
     strcpy(fileresprob,"prob"); 
     strcat(fileresprob,fileres);
     if((ficresprob=fopen(fileresprob,"w"))==NULL) {
       printf("Problem with resultfile: %s\n", fileresprob);
       fprintf(ficlog,"Problem with resultfile: %s\n", fileresprob);
     }
     strcpy(fileresprobcov,"probcov"); 
     strcat(fileresprobcov,fileres);
     if((ficresprobcov=fopen(fileresprobcov,"w"))==NULL) {
       printf("Problem with resultfile: %s\n", fileresprobcov);
       fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcov);
     }
     strcpy(fileresprobcor,"probcor"); 
     strcat(fileresprobcor,fileres);
     if((ficresprobcor=fopen(fileresprobcor,"w"))==NULL) {
       printf("Problem with resultfile: %s\n", fileresprobcor);
       fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcor);
     }
     printf("Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);
     fprintf(ficlog,"Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);
     printf("Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);
     fprintf(ficlog,"Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);
     printf("and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);
     fprintf(ficlog,"and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);
     pstamp(ficresprob);
     fprintf(ficresprob,"#One-step probabilities and stand. devi in ()\n");
     fprintf(ficresprob,"# Age");
     pstamp(ficresprobcov);
     fprintf(ficresprobcov,"#One-step probabilities and covariance matrix\n");
     fprintf(ficresprobcov,"# Age");
     pstamp(ficresprobcor);
     fprintf(ficresprobcor,"#One-step probabilities and correlation matrix\n");
     fprintf(ficresprobcor,"# Age");
   
   
     for(i=1; i<=nlstate;i++)
       for(j=1; j<=(nlstate+ndeath);j++){
         fprintf(ficresprob," p%1d-%1d (SE)",i,j);
         fprintf(ficresprobcov," p%1d-%1d ",i,j);
         fprintf(ficresprobcor," p%1d-%1d ",i,j);
       }  
    /* fprintf(ficresprob,"\n");
     fprintf(ficresprobcov,"\n");
     fprintf(ficresprobcor,"\n");
    */
     xp=vector(1,npar);
     dnewm=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);
     doldm=matrix(1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath));
     mu=matrix(1,(nlstate)*(nlstate+ndeath), (int) bage, (int)fage);
     varpij=ma3x(1,nlstate*(nlstate+ndeath),1,nlstate*(nlstate+ndeath),(int) bage, (int) fage);
     first=1;
     fprintf(ficgp,"\n# Routine varprob");
     fprintf(fichtm,"\n<li><h4> Computing and drawing one step probabilities with their confidence intervals</h4></li>\n");
     fprintf(fichtm,"\n");
   
     fprintf(fichtm,"\n<li><h4> <a href=\"%s\">Matrix of variance-covariance of pairs of step probabilities (drawings)</a></h4></li>\n",optionfilehtmcov);
     fprintf(fichtmcov,"\n<h4>Matrix of variance-covariance of pairs of step probabilities</h4>\n\
     file %s<br>\n",optionfilehtmcov);
     fprintf(fichtmcov,"\nEllipsoids of confidence centered on point (p<inf>ij</inf>, p<inf>kl</inf>) are estimated\
   and drawn. It helps understanding how is the covariance between two incidences.\
    They are expressed in year<sup>-1</sup> in order to be less dependent of stepm.<br>\n");
     fprintf(fichtmcov,"\n<br> Contour plot corresponding to x'cov<sup>-1</sup>x = 4 (where x is the column vector (pij,pkl)) are drawn. \
   It can be understood this way: if pij and pkl where uncorrelated the (2x2) matrix of covariance \
   would have been (1/(var pij), 0 , 0, 1/(var pkl)), and the confidence interval would be 2 \
   standard deviations wide on each axis. <br>\
    Now, if both incidences are correlated (usual case) we diagonalised the inverse of the covariance matrix\
    and made the appropriate rotation to look at the uncorrelated principal directions.<br>\
   To be simple, these graphs help to understand the significativity of each parameter in relation to a second other one.<br> \n");
   
     cov[1]=1;
     /* tj=cptcoveff; */
     tj = (int) pow(2,cptcoveff);
     if (cptcovn<1) {tj=1;ncodemax[1]=1;}
     j1=0;
     for(j1=1; j1<=tj;j1++){
       /*for(i1=1; i1<=ncodemax[t];i1++){ */
       /*j1++;*/
         if  (cptcovn>0) {
           fprintf(ficresprob, "\n#********** Variable "); 
           for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprob, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
           fprintf(ficresprob, "**********\n#\n");
           fprintf(ficresprobcov, "\n#********** Variable "); 
           for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcov, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
           fprintf(ficresprobcov, "**********\n#\n");
           
           fprintf(ficgp, "\n#********** Variable "); 
           for (z1=1; z1<=cptcoveff; z1++) fprintf(ficgp, " V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
           fprintf(ficgp, "**********\n#\n");
           
           
           fprintf(fichtmcov, "\n<hr  size=\"2\" color=\"#EC5E5E\">********** Variable "); 
           for (z1=1; z1<=cptcoveff; z1++) fprintf(fichtm, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
           fprintf(fichtmcov, "**********\n<hr size=\"2\" color=\"#EC5E5E\">");
           
           fprintf(ficresprobcor, "\n#********** Variable ");    
           for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcor, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
           fprintf(ficresprobcor, "**********\n#");    
         }
         
         gradg=matrix(1,npar,1,(nlstate)*(nlstate+ndeath));
         trgradg=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);
         gp=vector(1,(nlstate)*(nlstate+ndeath));
         gm=vector(1,(nlstate)*(nlstate+ndeath));
         for (age=bage; age<=fage; age ++){ 
           cov[2]=age;
           for (k=1; k<=cptcovn;k++) {
             cov[2+k]=nbcode[Tvar[k]][codtab[j1][Tvar[k]]];/* j1 1 2 3 4
                                                            * 1  1 1 1 1
                                                            * 2  2 1 1 1
                                                            * 3  1 2 1 1
                                                            */
             /* nbcode[1][1]=0 nbcode[1][2]=1;*/
           }
           for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2];
           for (k=1; k<=cptcovprod;k++)
             cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]]*nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]];
           
       
           for(theta=1; theta <=npar; theta++){
             for(i=1; i<=npar; i++)
               xp[i] = x[i] + (i==theta ?delti[theta]:(double)0);
             
             pmij(pmmij,cov,ncovmodel,xp,nlstate);
             
             k=0;
             for(i=1; i<= (nlstate); i++){
               for(j=1; j<=(nlstate+ndeath);j++){
                 k=k+1;
                 gp[k]=pmmij[i][j];
               }
             }
             
             for(i=1; i<=npar; i++)
               xp[i] = x[i] - (i==theta ?delti[theta]:(double)0);
       
             pmij(pmmij,cov,ncovmodel,xp,nlstate);
             k=0;
             for(i=1; i<=(nlstate); i++){
               for(j=1; j<=(nlstate+ndeath);j++){
                 k=k+1;
                 gm[k]=pmmij[i][j];
               }
             }
        
             for(i=1; i<= (nlstate)*(nlstate+ndeath); i++) 
               gradg[theta][i]=(gp[i]-gm[i])/(double)2./delti[theta];  
           }
   
           for(j=1; j<=(nlstate)*(nlstate+ndeath);j++)
             for(theta=1; theta <=npar; theta++)
               trgradg[j][theta]=gradg[theta][j];
           
           matprod2(dnewm,trgradg,1,(nlstate)*(nlstate+ndeath),1,npar,1,npar,matcov); 
           matprod2(doldm,dnewm,1,(nlstate)*(nlstate+ndeath),1,npar,1,(nlstate)*(nlstate+ndeath),gradg);
   
           pmij(pmmij,cov,ncovmodel,x,nlstate);
           
           k=0;
           for(i=1; i<=(nlstate); i++){
             for(j=1; j<=(nlstate+ndeath);j++){
               k=k+1;
               mu[k][(int) age]=pmmij[i][j];
             }
           }
           for(i=1;i<=(nlstate)*(nlstate+ndeath);i++)
             for(j=1;j<=(nlstate)*(nlstate+ndeath);j++)
               varpij[i][j][(int)age] = doldm[i][j];
   
           /*printf("\n%d ",(int)age);
             for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){
             printf("%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));
             fprintf(ficlog,"%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));
             }*/
   
           fprintf(ficresprob,"\n%d ",(int)age);
           fprintf(ficresprobcov,"\n%d ",(int)age);
           fprintf(ficresprobcor,"\n%d ",(int)age);
   
           for (i=1; i<=(nlstate)*(nlstate+ndeath);i++)
             fprintf(ficresprob,"%11.3e (%11.3e) ",mu[i][(int) age],sqrt(varpij[i][i][(int)age]));
           for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){
             fprintf(ficresprobcov,"%11.3e ",mu[i][(int) age]);
             fprintf(ficresprobcor,"%11.3e ",mu[i][(int) age]);
           }
           i=0;
           for (k=1; k<=(nlstate);k++){
             for (l=1; l<=(nlstate+ndeath);l++){ 
               i++;
               fprintf(ficresprobcov,"\n%d %d-%d",(int)age,k,l);
               fprintf(ficresprobcor,"\n%d %d-%d",(int)age,k,l);
               for (j=1; j<=i;j++){
                 /* printf(" k=%d l=%d i=%d j=%d\n",k,l,i,j);fflush(stdout); */
                 fprintf(ficresprobcov," %11.3e",varpij[i][j][(int)age]);
                 fprintf(ficresprobcor," %11.3e",varpij[i][j][(int) age]/sqrt(varpij[i][i][(int) age])/sqrt(varpij[j][j][(int)age]));
               }
             }
           }/* end of loop for state */
         } /* end of loop for age */
         free_vector(gp,1,(nlstate+ndeath)*(nlstate+ndeath));
         free_vector(gm,1,(nlstate+ndeath)*(nlstate+ndeath));
         free_matrix(trgradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);
         free_matrix(gradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);
         
         /* Confidence intervalle of pij  */
         /*
           fprintf(ficgp,"\nunset parametric;unset label");
           fprintf(ficgp,"\nset log y;unset log x; set xlabel \"Age\";set ylabel \"probability (year-1)\"");
           fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65");
           fprintf(fichtm,"\n<br>Probability with  confidence intervals expressed in year<sup>-1</sup> :<a href=\"pijgr%s.png\">pijgr%s.png</A>, ",optionfilefiname,optionfilefiname);
           fprintf(fichtm,"\n<br><img src=\"pijgr%s.png\"> ",optionfilefiname);
           fprintf(ficgp,"\nset out \"pijgr%s.png\"",optionfilefiname);
           fprintf(ficgp,"\nplot \"%s\" every :::%d::%d u 1:2 \"\%%lf",k1,k2,xfilevarprob);
         */
   
         /* Drawing ellipsoids of confidence of two variables p(k1-l1,k2-l2)*/
         first1=1;first2=2;
         for (k2=1; k2<=(nlstate);k2++){
           for (l2=1; l2<=(nlstate+ndeath);l2++){ 
             if(l2==k2) continue;
             j=(k2-1)*(nlstate+ndeath)+l2;
             for (k1=1; k1<=(nlstate);k1++){
               for (l1=1; l1<=(nlstate+ndeath);l1++){ 
                 if(l1==k1) continue;
                 i=(k1-1)*(nlstate+ndeath)+l1;
                 if(i<=j) continue;
                 for (age=bage; age<=fage; age ++){ 
                   if ((int)age %5==0){
                     v1=varpij[i][i][(int)age]/stepm*YEARM/stepm*YEARM;
                     v2=varpij[j][j][(int)age]/stepm*YEARM/stepm*YEARM;
                     cv12=varpij[i][j][(int)age]/stepm*YEARM/stepm*YEARM;
                     mu1=mu[i][(int) age]/stepm*YEARM ;
                     mu2=mu[j][(int) age]/stepm*YEARM;
                     c12=cv12/sqrt(v1*v2);
                     /* Computing eigen value of matrix of covariance */
                     lc1=((v1+v2)+sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                     lc2=((v1+v2)-sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                     if ((lc2 <0) || (lc1 <0) ){
                       if(first2==1){
                         first1=0;
                       printf("Strange: j1=%d One eigen value of 2x2 matrix of covariance is negative, lc1=%11.3e, lc2=%11.3e, v1=%11.3e, v2=%11.3e, cv12=%11.3e.\n It means that the matrix was not well estimated (varpij), for i=%2d, j=%2d, age=%4d .\n See files %s and %s. Probably WRONG RESULTS. See log file for details...\n", j1, lc1, lc2, v1, v2, cv12, i, j, (int)age,fileresprobcov, fileresprobcor);
                       }
                       fprintf(ficlog,"Strange: j1=%d One eigen value of 2x2 matrix of covariance is negative, lc1=%11.3e, lc2=%11.3e, v1=%11.3e, v2=%11.3e, cv12=%11.3e.\n It means that the matrix was not well estimated (varpij), for i=%2d, j=%2d, age=%4d .\n See files %s and %s. Probably WRONG RESULTS.\n", j1, lc1, lc2, v1, v2, cv12, i, j, (int)age,fileresprobcov, fileresprobcor);fflush(ficlog);
                       /* lc1=fabs(lc1); */ /* If we want to have them positive */
                       /* lc2=fabs(lc2); */
                     }
   
                     /* Eigen vectors */
                     v11=(1./sqrt(1+(v1-lc1)*(v1-lc1)/cv12/cv12));
                     /*v21=sqrt(1.-v11*v11); *//* error */
                     v21=(lc1-v1)/cv12*v11;
                     v12=-v21;
                     v22=v11;
                     tnalp=v21/v11;
                     if(first1==1){
                       first1=0;
                       printf("%d %d%d-%d%d mu %.4e %.4e Var %.4e %.4e cor %.3f cov %.4e Eig %.3e %.3e 1stv %.3f %.3f tang %.3f\nOthers in log...\n",(int) age,k1,l1,k2,l2,mu1,mu2,v1,v2,c12,cv12,lc1,lc2,v11,v21,tnalp);
                     }
                     fprintf(ficlog,"%d %d%d-%d%d mu %.4e %.4e Var %.4e %.4e cor %.3f cov %.4e Eig %.3e %.3e 1stv %.3f %.3f tan %.3f\n",(int) age,k1,l1,k2,l2,mu1,mu2,v1,v2,c12,cv12,lc1,lc2,v11,v21,tnalp);
                     /*printf(fignu*/
                     /* mu1+ v11*lc1*cost + v12*lc2*sin(t) */
                     /* mu2+ v21*lc1*cost + v22*lc2*sin(t) */
                     if(first==1){
                       first=0;
                       fprintf(ficgp,"\nset parametric;unset label");
                       fprintf(ficgp,"\nset log y;set log x; set xlabel \"p%1d%1d (year-1)\";set ylabel \"p%1d%1d (year-1)\"",k1,l1,k2,l2);
                       fprintf(ficgp,"\nset ter png small size 320, 240");
                       fprintf(fichtmcov,"\n<br>Ellipsoids of confidence cov(p%1d%1d,p%1d%1d) expressed in year<sup>-1</sup>\
    :<a href=\"%s%d%1d%1d-%1d%1d.png\">\
   %s%d%1d%1d-%1d%1d.png</A>, ",k1,l1,k2,l2,\
                               subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2,\
                               subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2);
                       fprintf(fichtmcov,"\n<br><img src=\"%s%d%1d%1d-%1d%1d.png\"> ",subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2);
                       fprintf(fichtmcov,"\n<br> Correlation at age %d (%.3f),",(int) age, c12);
                       fprintf(ficgp,"\nset out \"%s%d%1d%1d-%1d%1d.png\"",subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2);
                       fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);
                       fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);
                       fprintf(ficgp,"\nplot [-pi:pi] %11.3e+ %.3f*(%11.3e*%11.3e*cos(t)+%11.3e*%11.3e*sin(t)), %11.3e +%.3f*(%11.3e*%11.3e*cos(t)+%11.3e*%11.3e*sin(t)) not",\
                               mu1,std,v11,sqrt(lc1),v12,sqrt(lc2),\
                               mu2,std,v21,sqrt(lc1),v22,sqrt(lc2));
                     }else{
                       first=0;
                       fprintf(fichtmcov," %d (%.3f),",(int) age, c12);
                       fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);
                       fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);
                       fprintf(ficgp,"\nreplot %11.3e+ %.3f*(%11.3e*%11.3e*cos(t)+%11.3e*%11.3e*sin(t)), %11.3e +%.3f*(%11.3e*%11.3e*cos(t)+%11.3e*%11.3e*sin(t)) not",\
                               mu1,std,v11,sqrt(lc1),v12,sqrt(lc2),\
                               mu2,std,v21,sqrt(lc1),v22,sqrt(lc2));
                     }/* if first */
                   } /* age mod 5 */
                 } /* end loop age */
                 fprintf(ficgp,"\nset out \"%s%d%1d%1d-%1d%1d.png\";replot;",subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2);
                 first=1;
               } /*l12 */
             } /* k12 */
           } /*l1 */
         }/* k1 */
         /* } /* loop covariates */
     }
     free_ma3x(varpij,1,nlstate,1,nlstate+ndeath,(int) bage, (int)fage);
     free_matrix(mu,1,(nlstate+ndeath)*(nlstate+ndeath),(int) bage, (int)fage);
     free_matrix(doldm,1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath));
     free_matrix(dnewm,1,(nlstate)*(nlstate+ndeath),1,npar);
     free_vector(xp,1,npar);
     fclose(ficresprob);
     fclose(ficresprobcov);
     fclose(ficresprobcor);
     fflush(ficgp);
     fflush(fichtmcov);
   }
   
   
   /******************* Printing html file ***********/
   void printinghtml(char fileres[], char title[], char datafile[], int firstpass, \
                     int lastpass, int stepm, int weightopt, char model[],\
                     int imx,int jmin, int jmax, double jmeanint,char rfileres[],\
                     int popforecast, int estepm ,\
                     double jprev1, double mprev1,double anprev1, \
                     double jprev2, double mprev2,double anprev2){
     int jj1, k1, i1, cpt;
   
      fprintf(fichtm,"<ul><li><a href='#firstorder'>Result files (first order: no variance)</a>\n \
      <li><a href='#secondorder'>Result files (second order (variance)</a>\n \
   </ul>");
      fprintf(fichtm,"<ul><li><h4><a name='firstorder'>Result files (first order: no variance)</a></h4>\n \
    - Observed prevalence in each state (during the period defined between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf): <a href=\"%s\">%s</a> <br>\n ",
              jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,subdirf2(fileres,"p"),subdirf2(fileres,"p"));
      fprintf(fichtm,"\
    - Estimated transition probabilities over %d (stepm) months: <a href=\"%s\">%s</a><br>\n ",
              stepm,subdirf2(fileres,"pij"),subdirf2(fileres,"pij"));
      fprintf(fichtm,"\
    - Period (stable) prevalence in each health state: <a href=\"%s\">%s</a> <br>\n",
              subdirf2(fileres,"pl"),subdirf2(fileres,"pl"));
      fprintf(fichtm,"\
    - (a) Life expectancies by health status at initial age, ei. (b) health expectancies by health status at initial age, eij . If one or more covariates are included, specific tables for each value of the covariate are output in sequences within the same file (estepm=%2d months): \
      <a href=\"%s\">%s</a> <br>\n",
              estepm,subdirf2(fileres,"e"),subdirf2(fileres,"e"));
      fprintf(fichtm,"\
    - Population projections by age and states: \
      <a href=\"%s\">%s</a> <br>\n</li>", subdirf2(fileres,"f"),subdirf2(fileres,"f"));
   
   fprintf(fichtm," \n<ul><li><b>Graphs</b></li><p>");
   
    m=pow(2,cptcoveff);
    if (cptcovn < 1) {m=1;ncodemax[1]=1;}
   
    jj1=0;
    for(k1=1; k1<=m;k1++){
      for(i1=1; i1<=ncodemax[k1];i1++){
        jj1++;
        if (cptcovn > 0) {
          fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");
          for (cpt=1; cpt<=cptcoveff;cpt++) 
            fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtab[jj1][cpt]]);
          fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");
        }
        /* Pij */
        fprintf(fichtm,"<br>- Pij or Conditional probabilities to be observed in state j being in state i, %d (stepm) months before: <a href=\"%s%d_1.png\">%s%d_1.png</a><br> \
   <img src=\"%s%d_1.png\">",stepm,subdirf2(optionfilefiname,"pe"),jj1,subdirf2(optionfilefiname,"pe"),jj1,subdirf2(optionfilefiname,"pe"),jj1);     
        /* Quasi-incidences */
        fprintf(fichtm,"<br>- Pij or Conditional probabilities to be observed in state j being in state i %d (stepm) months\
    before but expressed in per year i.e. quasi incidences if stepm is small and probabilities too: <a href=\"%s%d_2.png\">%s%d_2.png</a><br> \
   <img src=\"%s%d_2.png\">",stepm,subdirf2(optionfilefiname,"pe"),jj1,subdirf2(optionfilefiname,"pe"),jj1,subdirf2(optionfilefiname,"pe"),jj1); 
          /* Period (stable) prevalence in each health state */
          for(cpt=1; cpt<=nlstate;cpt++){
            fprintf(fichtm,"<br>- Convergence from each state (1 to %d) to period (stable) prevalence in state %d <a href=\"%s%d_%d.png\">%s%d_%d.png</a><br> \
   <img src=\"%s%d_%d.png\">",nlstate, cpt, subdirf2(optionfilefiname,"p"),cpt,jj1,subdirf2(optionfilefiname,"p"),cpt,jj1,subdirf2(optionfilefiname,"p"),cpt,jj1);
          }
        for(cpt=1; cpt<=nlstate;cpt++) {
           fprintf(fichtm,"\n<br>- Life expectancy by health state (%d) at initial age and its decomposition into health expectancies in each alive state (1 to %d) : <a href=\"%s%d%d.png\">%s%d%d.png</a> <br> \
   <img src=\"%s%d%d.png\">",cpt,nlstate,subdirf2(optionfilefiname,"exp"),cpt,jj1,subdirf2(optionfilefiname,"exp"),cpt,jj1,subdirf2(optionfilefiname,"exp"),cpt,jj1);
        }
      } /* end i1 */
    }/* End k1 */
    fprintf(fichtm,"</ul>");
   
   
    fprintf(fichtm,"\
   \n<br><li><h4> <a name='secondorder'>Result files (second order: variances)</a></h4>\n\
    - Parameter file with estimated parameters and covariance matrix: <a href=\"%s\">%s</a> <br>\n", rfileres,rfileres);
   
    fprintf(fichtm," - Variance of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
            subdirf2(fileres,"prob"),subdirf2(fileres,"prob"));
    fprintf(fichtm,"\
    - Variance-covariance of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
            subdirf2(fileres,"probcov"),subdirf2(fileres,"probcov"));
   
    fprintf(fichtm,"\
    - Correlation matrix of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
            subdirf2(fileres,"probcor"),subdirf2(fileres,"probcor"));
    fprintf(fichtm,"\
    - Variances and covariances of health expectancies by age and <b>initial health status</b> (cov(e<sup>ij</sup>,e<sup>kl</sup>)(estepm=%2d months): \
      <a href=\"%s\">%s</a> <br>\n</li>",
              estepm,subdirf2(fileres,"cve"),subdirf2(fileres,"cve"));
    fprintf(fichtm,"\
    - (a) Health expectancies by health status at initial age (e<sup>ij</sup>) and standard errors (in parentheses) (b) life expectancies and standard errors (e<sup>i.</sup>=e<sup>i1</sup>+e<sup>i2</sup>+...)(estepm=%2d months): \
      <a href=\"%s\">%s</a> <br>\n</li>",
              estepm,subdirf2(fileres,"stde"),subdirf2(fileres,"stde"));
    fprintf(fichtm,"\
    - Variances and covariances of health expectancies by age. Status (i) based health expectancies (in state j), e<sup>ij</sup> are weighted by the period prevalences in each state i (if popbased=1, an additional computation is done using the cross-sectional prevalences, i.e population based) (estepm=%d months): <a href=\"%s\">%s</a><br>\n",
            estepm, subdirf2(fileres,"v"),subdirf2(fileres,"v"));
    fprintf(fichtm,"\
    - Total life expectancy and total health expectancies to be spent in each health state e<sup>.j</sup> with their standard errors (if popbased=1, an additional computation is done using the cross-sectional prevalences, i.e population based) (estepm=%d months): <a href=\"%s\">%s</a> <br>\n",
            estepm, subdirf2(fileres,"t"),subdirf2(fileres,"t"));
    fprintf(fichtm,"\
    - Standard deviation of period (stable) prevalences: <a href=\"%s\">%s</a> <br>\n",\
            subdirf2(fileres,"vpl"),subdirf2(fileres,"vpl"));
   
   /*  if(popforecast==1) fprintf(fichtm,"\n */
   /*  - Prevalences forecasting: <a href=\"f%s\">f%s</a> <br>\n */
   /*  - Population forecasting (if popforecast=1): <a href=\"pop%s\">pop%s</a> <br>\n */
   /*      <br>",fileres,fileres,fileres,fileres); */
   /*  else  */
   /*    fprintf(fichtm,"\n No population forecast: popforecast = %d (instead of 1) or stepm = %d (instead of 1) or model=%s (instead of .)<br><br></li>\n",popforecast, stepm, model); */
    fflush(fichtm);
    fprintf(fichtm," <ul><li><b>Graphs</b></li><p>");
   
    m=pow(2,cptcoveff);
    if (cptcovn < 1) {m=1;ncodemax[1]=1;}
   
    jj1=0;
    for(k1=1; k1<=m;k1++){
      for(i1=1; i1<=ncodemax[k1];i1++){
        jj1++;
        if (cptcovn > 0) {
          fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");
          for (cpt=1; cpt<=cptcoveff;cpt++) 
            fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtab[jj1][cpt]]);
          fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");
        }
        for(cpt=1; cpt<=nlstate;cpt++) {
          fprintf(fichtm,"<br>- Observed (cross-sectional) and period (incidence based) \
   prevalence (with 95%% confidence interval) in state (%d): %s%d_%d.png <br>\
   <img src=\"%s%d_%d.png\">",cpt,subdirf2(optionfilefiname,"v"),cpt,jj1,subdirf2(optionfilefiname,"v"),cpt,jj1);  
        }
        fprintf(fichtm,"\n<br>- Total life expectancy by age and \
   health expectancies in states (1) and (2). If popbased=1 the smooth (due to the model) \
   true period expectancies (those weighted with period prevalences are also\
    drawn in addition to the population based expectancies computed using\
    observed and cahotic prevalences: %s%d.png<br>\
   <img src=\"%s%d.png\">",subdirf2(optionfilefiname,"e"),jj1,subdirf2(optionfilefiname,"e"),jj1);
      } /* end i1 */
    }/* End k1 */
    fprintf(fichtm,"</ul>");
    fflush(fichtm);
   }
   
   /******************* Gnuplot file **************/
   void printinggnuplot(char fileres[], char optionfilefiname[], double ageminpar, double agemaxpar, double fage , char pathc[], double p[]){
   
     char dirfileres[132],optfileres[132];
     int m0,cpt=0,k1=0,i=0,k=0,j=0,jk=0,k2=0,k3=0,ij=0,l=0;
     int ng=0;
   /*   if((ficgp=fopen(optionfilegnuplot,"a"))==NULL) { */
   /*     printf("Problem with file %s",optionfilegnuplot); */
   /*     fprintf(ficlog,"Problem with file %s",optionfilegnuplot); */
   /*   } */
   
     /*#ifdef windows */
     fprintf(ficgp,"cd \"%s\" \n",pathc);
       /*#endif */
     m=pow(2,cptcoveff);
   
     strcpy(dirfileres,optionfilefiname);
     strcpy(optfileres,"vpl");
    /* 1eme*/
     fprintf(ficgp,"\n# 1st: Period (stable) prevalence with CI: 'vpl' files\n");
     for (cpt=1; cpt<= nlstate ; cpt ++) {
       for (k1=1; k1<= m ; k1 ++) { /* plot [100000000000000000000:-100000000000000000000] "mysbiaspar/vplrmysbiaspar.txt to check */
        fprintf(ficgp,"\nset out \"%s%d_%d.png\" \n",subdirf2(optionfilefiname,"v"),cpt,k1);
        fprintf(ficgp,"\n#set out \"v%s%d_%d.png\" \n",optionfilefiname,cpt,k1);
        fprintf(ficgp,"set xlabel \"Age\" \n\
   set ylabel \"Probability\" \n\
   set ter png small size 320, 240\n\
   plot [%.f:%.f] \"%s\" every :::%d::%d u 1:2 \"\%%lf",ageminpar,fage,subdirf2(fileres,"vpl"),k1-1,k1-1);
   
        for (i=1; i<= nlstate ; i ++) {
          if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");
          else        fprintf(ficgp," \%%*lf (\%%*lf)");
        }
        fprintf(ficgp,"\" t\"Period (stable) prevalence\" w l lt 0,\"%s\" every :::%d::%d u 1:($2+1.96*$3) \"\%%lf",subdirf2(fileres,"vpl"),k1-1,k1-1);
        for (i=1; i<= nlstate ; i ++) {
          if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");
          else fprintf(ficgp," \%%*lf (\%%*lf)");
        } 
        fprintf(ficgp,"\" t\"95\%% CI\" w l lt 1,\"%s\" every :::%d::%d u 1:($2-1.96*$3) \"\%%lf",subdirf2(fileres,"vpl"),k1-1,k1-1); 
        for (i=1; i<= nlstate ; i ++) {
          if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");
          else fprintf(ficgp," \%%*lf (\%%*lf)");
        }  
        fprintf(ficgp,"\" t\"\" w l lt 1,\"%s\" every :::%d::%d u 1:($%d) t\"Observed prevalence \" w l lt 2",subdirf2(fileres,"p"),k1-1,k1-1,2+4*(cpt-1));
      }
     }
     /*2 eme*/
     fprintf(ficgp,"\n# 2nd: Total life expectancy with CI: 't' files\n");
     for (k1=1; k1<= m ; k1 ++) { 
       fprintf(ficgp,"\nset out \"%s%d.png\" \n",subdirf2(optionfilefiname,"e"),k1);
       fprintf(ficgp,"set ylabel \"Years\" \nset ter png small size 320, 240\nplot [%.f:%.f] ",ageminpar,fage);
       
       for (i=1; i<= nlstate+1 ; i ++) {
         k=2*i;
         fprintf(ficgp,"\"%s\" every :::%d::%d u 1:2 \"\%%lf",subdirf2(fileres,"t"),k1-1,k1-1);
         for (j=1; j<= nlstate+1 ; j ++) {
           if (j==i) fprintf(ficgp," \%%lf (\%%lf)");
           else fprintf(ficgp," \%%*lf (\%%*lf)");
         }   
         if (i== 1) fprintf(ficgp,"\" t\"TLE\" w l ,");
         else fprintf(ficgp,"\" t\"LE in state (%d)\" w l ,",i-1);
         fprintf(ficgp,"\"%s\" every :::%d::%d u 1:($2-$3*2) \"\%%lf",subdirf2(fileres,"t"),k1-1,k1-1);
         for (j=1; j<= nlstate+1 ; j ++) {
           if (j==i) fprintf(ficgp," \%%lf (\%%lf)");
           else fprintf(ficgp," \%%*lf (\%%*lf)");
         }   
         fprintf(ficgp,"\" t\"\" w l lt 0,");
         fprintf(ficgp,"\"%s\" every :::%d::%d u 1:($2+$3*2) \"\%%lf",subdirf2(fileres,"t"),k1-1,k1-1);
         for (j=1; j<= nlstate+1 ; j ++) {
           if (j==i) fprintf(ficgp," \%%lf (\%%lf)");
           else fprintf(ficgp," \%%*lf (\%%*lf)");
         }   
         if (i== (nlstate+1)) fprintf(ficgp,"\" t\"\" w l lt 0");
         else fprintf(ficgp,"\" t\"\" w l lt 0,");
       }
     }
     
     /*3eme*/
     
     for (k1=1; k1<= m ; k1 ++) { 
       for (cpt=1; cpt<= nlstate ; cpt ++) {
         /*       k=2+nlstate*(2*cpt-2); */
         k=2+(nlstate+1)*(cpt-1);
         fprintf(ficgp,"\nset out \"%s%d%d.png\" \n",subdirf2(optionfilefiname,"exp"),cpt,k1);
         fprintf(ficgp,"set ter png small size 320, 240\n\
   plot [%.f:%.f] \"%s\" every :::%d::%d u 1:%d t \"e%d1\" w l",ageminpar,fage,subdirf2(fileres,"e"),k1-1,k1-1,k,cpt);
         /*fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d-2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);
           for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");
           fprintf(ficgp,"\" t \"e%d1\" w l",cpt);
           fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d+2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);
           for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");
           fprintf(ficgp,"\" t \"e%d1\" w l",cpt);
           
         */
         for (i=1; i< nlstate ; i ++) {
           fprintf(ficgp," ,\"%s\" every :::%d::%d u 1:%d t \"e%d%d\" w l",subdirf2(fileres,"e"),k1-1,k1-1,k+i,cpt,i+1);
           /*      fprintf(ficgp," ,\"%s\" every :::%d::%d u 1:%d t \"e%d%d\" w l",subdirf2(fileres,"e"),k1-1,k1-1,k+2*i,cpt,i+1);*/
           
         } 
         fprintf(ficgp," ,\"%s\" every :::%d::%d u 1:%d t \"e%d.\" w l",subdirf2(fileres,"e"),k1-1,k1-1,k+nlstate,cpt);
       }
     }
     
     /* CV preval stable (period) */
     for (k1=1; k1<= m ; k1 ++) { /* For each multivariate if any */
       for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state */
         k=3;
         fprintf(ficgp,"\n#\n#\n#CV preval stable (period): 'pij' files, cov=%d state=%d",k1, cpt);
         fprintf(ficgp,"\nset out \"%s%d_%d.png\" \n",subdirf2(optionfilefiname,"p"),cpt,k1);
         fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \n\
   set ter png small size 320, 240\n\
   unset log y\n\
   plot [%.f:%.f]  ", ageminpar, agemaxpar);
         for (i=1; i<= nlstate ; i ++){
           if(i==1)
             fprintf(ficgp,"\"%s\"",subdirf2(fileres,"pij"));
           else
             fprintf(ficgp,", '' ");
           l=(nlstate+ndeath)*(i-1)+1;
           fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l);
           for (j=1; j<= (nlstate-1) ; j ++)
             fprintf(ficgp,"+$%d",k+l+j);
           fprintf(ficgp,")) t \"prev(%d,%d)\" w l",i,cpt);
         } /* nlstate */
         fprintf(ficgp,"\n");
       } /* end cpt state*/ 
     } /* end covariate */  
     
     /* proba elementaires */
     for(i=1,jk=1; i <=nlstate; i++){
       for(k=1; k <=(nlstate+ndeath); k++){
         if (k != i) {
           for(j=1; j <=ncovmodel; j++){
             fprintf(ficgp,"p%d=%f ",jk,p[jk]);
             jk++; 
             fprintf(ficgp,"\n");
           }
         }
       }
      }
     /*goto avoid;*/
      for(ng=1; ng<=2;ng++){ /* Number of graphics: first is probabilities second is incidence per year*/
        for(jk=1; jk <=m; jk++) {
          fprintf(ficgp,"\nset out \"%s%d_%d.png\" \n",subdirf2(optionfilefiname,"pe"),jk,ng); 
          if (ng==2)
            fprintf(ficgp,"\nset ylabel \"Quasi-incidence per year\"\n");
          else
            fprintf(ficgp,"\nset title \"Probability\"\n");
          fprintf(ficgp,"\nset ter png small size 320, 240\nset log y\nplot  [%.f:%.f] ",ageminpar,agemaxpar);
          i=1;
          for(k2=1; k2<=nlstate; k2++) {
            k3=i;
            for(k=1; k<=(nlstate+ndeath); k++) {
              if (k != k2){
                if(ng==2)
                  fprintf(ficgp," %f*exp(p%d+p%d*x",YEARM/stepm,i,i+1);
                else
                  fprintf(ficgp," exp(p%d+p%d*x",i,i+1);
                ij=1;/* To be checked else nbcode[0][0] wrong */
                for(j=3; j <=ncovmodel; j++) {
                  /* if(((j-2)==Tage[ij]) &&(ij <=cptcovage)) { /\* Bug valgrind *\/ */
                  /*        /\*fprintf(ficgp,"+p%d*%d*x",i+j-1,nbcode[Tvar[j-2]][codtab[jk][Tvar[j-2]]]);*\/ */
                  /*        ij++; */
                  /* } */
                  /* else */
                    fprintf(ficgp,"+p%d*%d",i+j-1,nbcode[Tvar[j-2]][codtab[jk][j-2]]);
                }
                fprintf(ficgp,")/(1");
                
                for(k1=1; k1 <=nlstate; k1++){   
                  fprintf(ficgp,"+exp(p%d+p%d*x",k3+(k1-1)*ncovmodel,k3+(k1-1)*ncovmodel+1);
                  ij=1;
                  for(j=3; j <=ncovmodel; j++){
                    /* if(((j-2)==Tage[ij]) &&(ij <=cptcovage)) { */
                    /*   fprintf(ficgp,"+p%d*%d*x",k3+(k1-1)*ncovmodel+1+j-2,nbcode[Tvar[j-2]][codtab[jk][Tvar[j-2]]]); */
                    /*   ij++; */
                    /* } */
                    /* else */
                      fprintf(ficgp,"+p%d*%d",k3+(k1-1)*ncovmodel+1+j-2,nbcode[Tvar[j-2]][codtab[jk][j-2]]);
                  }
                  fprintf(ficgp,")");
                }
                fprintf(ficgp,") t \"p%d%d\" ", k2,k);
                if ((k+k2)!= (nlstate*2+ndeath)) fprintf(ficgp,",");
                i=i+ncovmodel;
              }
            } /* end k */
          } /* end k2 */
        } /* end jk */
      } /* end ng */
    avoid:
      fflush(ficgp); 
   }  /* end gnuplot */
   
   
   /*************** Moving average **************/
   int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav){
   
     int i, cpt, cptcod;
     int modcovmax =1;
     int mobilavrange, mob;
     double age;
   
     modcovmax=2*cptcoveff;/* Max number of modalities. We suppose 
                              a covariate has 2 modalities */
     if (cptcovn<1) modcovmax=1; /* At least 1 pass */
   
     if(mobilav==1||mobilav ==3 ||mobilav==5 ||mobilav== 7){
       if(mobilav==1) mobilavrange=5; /* default */
       else mobilavrange=mobilav;
       for (age=bage; age<=fage; age++)
         for (i=1; i<=nlstate;i++)
           for (cptcod=1;cptcod<=modcovmax;cptcod++)
             mobaverage[(int)age][i][cptcod]=probs[(int)age][i][cptcod];
       /* We keep the original values on the extreme ages bage, fage and for 
          fage+1 and bage-1 we use a 3 terms moving average; for fage+2 bage+2
          we use a 5 terms etc. until the borders are no more concerned. 
       */ 
       for (mob=3;mob <=mobilavrange;mob=mob+2){
         for (age=bage+(mob-1)/2; age<=fage-(mob-1)/2; age++){
           for (i=1; i<=nlstate;i++){
             for (cptcod=1;cptcod<=modcovmax;cptcod++){
               mobaverage[(int)age][i][cptcod] =probs[(int)age][i][cptcod];
                 for (cpt=1;cpt<=(mob-1)/2;cpt++){
                   mobaverage[(int)age][i][cptcod] +=probs[(int)age-cpt][i][cptcod];
                   mobaverage[(int)age][i][cptcod] +=probs[(int)age+cpt][i][cptcod];
                 }
               mobaverage[(int)age][i][cptcod]=mobaverage[(int)age][i][cptcod]/mob;
             }
           }
         }/* end age */
       }/* end mob */
     }else return -1;
     return 0;
   }/* End movingaverage */
   
   
   /************** Forecasting ******************/
   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) {*/ /* ??? */
         if (wav[i] > 1 ) { /* ??? */
           L=L+A*weight[i];
           /*      printf("\ni=%d A=%f L=%lf x[1]=%lf x[2]=%lf ageex=%lf agecens=%lf cens=%d agedc=%lf weight=%lf\n",i,A,L,x[1],x[2],ageexmed[i]*12,agecens[i]*12,cens[i],agedc[i]*12,weight[i]);*/
         }
       }
   
    /*printf("x1=%2.9f x2=%2.9f x3=%2.9f L=%f\n",x[1],x[2],x[3],L);*/
    
     return -2*L*num/sump;
   }
   
   #ifdef GSL
   /******************* Gompertz_f Likelihood ******************************/
   double gompertz_f(const gsl_vector *v, void *params)
   { 
     double A,B,LL=0.0,sump=0.,num=0.;
     double *x= (double *) v->data;
     int i,n=0; /* n is the size of the sample */
   
     for (i=0;i<=imx-1 ; i++) {
       sump=sump+weight[i];
       /*    sump=sump+1;*/
       num=num+1;
     }
    
    
     /* for (i=0; i<=imx; i++) 
        if (wav[i]>0) printf("i=%d ageex=%lf agecens=%lf agedc=%lf cens=%d %d\n" ,i,ageexmed[i],agecens[i],agedc[i],cens[i],wav[i]);*/
     printf("x[0]=%lf x[1]=%lf\n",x[0],x[1]);
     for (i=1;i<=imx ; i++)
       {
         if (cens[i] == 1 && wav[i]>1)
           A=-x[0]/(x[1])*(exp(x[1]*(agecens[i]-agegomp))-exp(x[1]*(ageexmed[i]-agegomp)));
         
         if (cens[i] == 0 && wav[i]>1)
           A=-x[0]/(x[1])*(exp(x[1]*(agedc[i]-agegomp))-exp(x[1]*(ageexmed[i]-agegomp)))
                +log(x[0]/YEARM)+x[1]*(agedc[i]-agegomp)+log(YEARM);  
         
         /*if (wav[i] > 1 && agecens[i] > 15) {*/ /* ??? */
         if (wav[i] > 1 ) { /* ??? */
           LL=LL+A*weight[i];
           /*      printf("\ni=%d A=%f L=%lf x[1]=%lf x[2]=%lf ageex=%lf agecens=%lf cens=%d agedc=%lf weight=%lf\n",i,A,L,x[1],x[2],ageexmed[i]*12,agecens[i]*12,cens[i],agedc[i]*12,weight[i]);*/
         }
       }
   
    /*printf("x1=%2.9f x2=%2.9f x3=%2.9f L=%f\n",x[1],x[2],x[3],L);*/
     printf("x[0]=%lf x[1]=%lf -2*LL*num/sump=%lf\n",x[0],x[1],-2*LL*num/sump);
    
     return -2*LL*num/sump;
   }
   #endif
   
   /******************* Printing html file ***********/
   void printinghtmlmort(char fileres[], char title[], char datafile[], int firstpass, \
                     int lastpass, int stepm, int weightopt, char model[],\
                     int imx,  double p[],double **matcov,double agemortsup){
     int i,k;
   
     fprintf(fichtm,"<ul><li><h4>Result files </h4>\n Force of mortality. Parameters of the Gompertz fit (with confidence interval in brackets):<br>");
     fprintf(fichtm,"  mu(age) =%lf*exp(%lf*(age-%d)) per year<br><br>",p[1],p[2],agegomp);
     for (i=1;i<=2;i++) 
       fprintf(fichtm," p[%d] = %lf [%f ; %f]<br>\n",i,p[i],p[i]-2*sqrt(matcov[i][i]),p[i]+2*sqrt(matcov[i][i]));
     fprintf(fichtm,"<br><br><img src=\"graphmort.png\">");
     fprintf(fichtm,"</ul>");
   
   fprintf(fichtm,"<ul><li><h4>Life table</h4>\n <br>");
   
    fprintf(fichtm,"\nAge   l<inf>x</inf>     q<inf>x</inf> d(x,x+1)    L<inf>x</inf>     T<inf>x</inf>     e<infx</inf><br>");
   
    for (k=agegomp;k<(agemortsup-2);k++) 
      fprintf(fichtm,"%d %.0lf %lf %.0lf %.0lf %.0lf %lf<br>\n",k,lsurv[k],p[1]*exp(p[2]*(k-agegomp)),(p[1]*exp(p[2]*(k-agegomp)))*lsurv[k],lpop[k],tpop[k],tpop[k]/lsurv[k]);
   
    
     fflush(fichtm);
   }
   
   /******************* Gnuplot file **************/
   void printinggnuplotmort(char fileres[], char optionfilefiname[], double ageminpar, double agemaxpar, double fage , char pathc[], double p[]){
   
     char dirfileres[132],optfileres[132];
     int 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 size 320, 240\n set log y\n"); 
     /* fprintf(ficgp, "set size 0.65,0.65\n"); */
     fprintf(ficgp,"plot [%d:100] %lf*exp(%lf*(x-%d))",agegomp,p[1],p[2],agegomp);
   
   } 
   
   int readdata(char datafile[], int firstobs, int lastobs, int *imax)
   {
   
     /*-------- data file ----------*/
     FILE *fic;
     char dummy[]="                         ";
     int i, j, n;
     int linei, month, year,iout;
     char line[MAXLINE], linetmp[MAXLINE];
     char stra[80], strb[80];
     char *stratrunc;
     int lstra;
   
   
     if((fic=fopen(datafile,"r"))==NULL)    {
       printf("Problem while opening datafile: %s\n", datafile);return 1;
       fprintf(ficlog,"Problem while opening datafile: %s\n", datafile);return 1;
     }
   
     i=1;
     linei=0;
     while ((fgets(line, MAXLINE, fic) != NULL) &&((i >= firstobs) && (i <=lastobs))) {
       linei=linei+1;
       for(j=strlen(line); j>=0;j--){  /* Untabifies line */
         if(line[j] == '\t')
           line[j] = ' ';
       }
       for(j=strlen(line)-1; (line[j]==' ')||(line[j]==10)||(line[j]==13);j--){
         ;
       };
       line[j+1]=0;  /* Trims blanks at end of line */
       if(line[0]=='#'){
         fprintf(ficlog,"Comment line\n%s\n",line);
         printf("Comment line\n%s\n",line);
         continue;
       }
       trimbb(linetmp,line); /* Trims multiple blanks in line */
       for (j=0; line[j]!='\0';j++){
         line[j]=linetmp[j];
       }
     
   
       for (j=maxwav;j>=1;j--){
         cutv(stra, strb, line, ' '); 
         if(strb[0]=='.') { /* Missing status */
           lval=-1;
         }else{
           errno=0;
           lval=strtol(strb,&endptr,10); 
         /*        if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN))*/
           if( strb[0]=='\0' || (*endptr != '\0')){
             printf("Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be a status of wave %d. Setting maxwav=%d might be wrong.  Exiting.\n", strb, linei,i,line,j,maxwav);
             fprintf(ficlog,"Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be a status of wave %d. Setting maxwav=%d might be wrong.  Exiting.\n", strb, linei,i,line,j,maxwav);fflush(ficlog);
             return 1;
           }
         }
         s[j][i]=lval;
         
         strcpy(line,stra);
         cutv(stra, strb,line,' ');
         if(iout=sscanf(strb,"%d/%d",&month, &year) != 0){
         }
         else  if(iout=sscanf(strb,"%s.",dummy) != 0){
           month=99;
           year=9999;
         }else{
           printf("Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be a date of interview (mm/yyyy or .) at wave %d.  Exiting.\n",strb, linei,i, line,j);
           fprintf(ficlog,"Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be a date of interview (mm/yyyy or .) at wave %d.  Exiting.\n",strb, linei,i, line,j);fflush(ficlog);
           return 1;
         }
         anint[j][i]= (double) year; 
         mint[j][i]= (double)month; 
         strcpy(line,stra);
       } /* ENd Waves */
       
       cutv(stra, strb,line,' '); 
       if(iout=sscanf(strb,"%d/%d",&month, &year) != 0){
       }
       else  if(iout=sscanf(strb,"%s.",dummy) != 0){
         month=99;
         year=9999;
       }else{
         printf("Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be a date of death (mm/yyyy or .).  Exiting.\n",strb, linei,i,line);
           fprintf(ficlog,"Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be a date of death (mm/yyyy or .).  Exiting.\n",strb, linei,i,line);fflush(ficlog);
           return 1;
       }
       andc[i]=(double) year; 
       moisdc[i]=(double) month; 
       strcpy(line,stra);
       
       cutv(stra, strb,line,' '); 
       if(iout=sscanf(strb,"%d/%d",&month, &year) != 0){
       }
       else  if(iout=sscanf(strb,"%s.", dummy) != 0){
         month=99;
         year=9999;
       }else{
         printf("Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be a date of birth (mm/yyyy or .).  Exiting.\n",strb, linei,i,line);
         fprintf(ficlog,"Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be a date of birth (mm/yyyy or .).  Exiting.\n",strb, linei,i,line);fflush(ficlog);
           return 1;
       }
       if (year==9999) {
         printf("Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be a date of birth (mm/yyyy) but at least the year of birth should be given.  Exiting.\n",strb, linei,i,line);
         fprintf(ficlog,"Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be a date of birth (mm/yyyy) but at least the year of birth should be given. Exiting.\n",strb, linei,i,line);fflush(ficlog);
           return 1;
   
       }
       annais[i]=(double)(year);
       moisnais[i]=(double)(month); 
       strcpy(line,stra);
       
       cutv(stra, strb,line,' '); 
       errno=0;
       dval=strtod(strb,&endptr); 
       if( strb[0]=='\0' || (*endptr != '\0')){
         printf("Error reading data around '%f' at line number %d, \"%s\" for individual %d\nShould be a weight.  Exiting.\n",dval, i,line,linei);
         fprintf(ficlog,"Error reading data around '%f' at line number %d, \"%s\" for individual %d\nShould be a weight.  Exiting.\n",dval, i,line,linei);
         fflush(ficlog);
         return 1;
       }
       weight[i]=dval; 
       strcpy(line,stra);
       
       for (j=ncovcol;j>=1;j--){
         cutv(stra, strb,line,' '); 
         if(strb[0]=='.') { /* Missing status */
           lval=-1;
         }else{
           errno=0;
           lval=strtol(strb,&endptr,10); 
           if( strb[0]=='\0' || (*endptr != '\0')){
             printf("Error reading data around '%ld' at line number %d for individual %d, '%s'\nShould be a covariate value (=0 for the reference or 1 for alternative).  Exiting.\n",lval, linei,i, line);
             fprintf(ficlog,"Error reading data around '%ld' at line number %d for individual %d, '%s'\nShould be a covariate value (=0 for the reference or 1 for alternative).  Exiting.\n",lval, linei,i, line);fflush(ficlog);
             return 1;
           }
         }
         if(lval <-1 || lval >1){
           printf("Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
    Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
    for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
    For example, for multinomial values like 1, 2 and 3,\n \
    build V1=0 V2=0 for the reference value (1),\n \
           V1=1 V2=0 for (2) \n \
    and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
    output of IMaCh is often meaningless.\n \
    Exiting.\n",lval,linei, i,line,j);
           fprintf(ficlog,"Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
    Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
    for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
    For example, for multinomial values like 1, 2 and 3,\n \
    build V1=0 V2=0 for the reference value (1),\n \
           V1=1 V2=0 for (2) \n \
    and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
    output of IMaCh is often meaningless.\n \
    Exiting.\n",lval,linei, i,line,j);fflush(ficlog);
           return 1;
         }
         covar[j][i]=(double)(lval);
         strcpy(line,stra);
       }  
       lstra=strlen(stra);
        
       if(lstra > 9){ /* More than 2**32 or max of what printf can write with %ld */
         stratrunc = &(stra[lstra-9]);
         num[i]=atol(stratrunc);
       }
       else
         num[i]=atol(stra);
       /*if((s[2][i]==2) && (s[3][i]==-1)&&(s[4][i]==9)){
         printf("%ld %.lf %.lf %.lf %.lf/%.lf %.lf/%.lf %.lf/%.lf %d %.lf/%.lf %d %.lf/%.lf %d %.lf/%.lf %d\n",num[i],(covar[1][i]), (covar[2][i]),weight[i], (moisnais[i]), (annais[i]), (moisdc[i]), (andc[i]), (mint[1][i]), (anint[1][i]), (s[1][i]),  (mint[2][i]), (anint[2][i]), (s[2][i]),  (mint[3][i]), (anint[3][i]), (s[3][i]),  (mint[4][i]), (anint[4][i]), (s[4][i])); ij=ij+1;}*/
       
       i=i+1;
     } /* End loop reading  data */
   
     *imax=i-1; /* Number of individuals */
     fclose(fic);
    
     return (0);
     endread:
       printf("Exiting readdata: ");
       fclose(fic);
       return (1);
   
   
   
   }
   void removespace(char *str) {
     char *p1 = str, *p2 = str;
     do
       while (*p2 == ' ')
         p2++;
     while (*p1++ = *p2++);
   }
   
   int decodemodel ( char model[], int lastobs) /**< This routine decode the model and returns:
      * Model  V1+V2+V3+V8+V7*V8+V5*V6+V8*age+V3*age
      * - cptcovt total number of covariates of the model nbocc(+)+1 = 8
      * - cptcovn or number of covariates k of the models excluding age*products =6
      * - cptcovage number of covariates with age*products =2
      * - cptcovs number of simple covariates
      * - Tvar[k] is the id of the kth covariate Tvar[1]@12 {1, 2, 3, 8, 10, 11, 8, 3, 7, 8, 5, 6}, thus Tvar[5=V7*V8]=10
      *     which is a new column after the 9 (ncovcol) variables. 
      * - if k is a product Vn*Vm covar[k][i] is filled with correct values for each individual
      * - Tprod[l] gives the kth covariates of the product Vn*Vm l=1 to cptcovprod-cptcovage
      *    Tprod[1]@2 {5, 6}: position of first product V7*V8 is 5, and second V5*V6 is 6.
      * - Tvard[k]  p Tvard[1][1]@4 {7, 8, 5, 6} for V7*V8 and V5*V6 .
    */
   {
     int i, j, k, ks;
     int i1, j1, k1, k2;
     char modelsav[80];
     char stra[80], strb[80], strc[80], strd[80],stre[80];
   
     /*removespace(model);*/
     if (strlen(model) >1){ /* If there is at least 1 covariate */
       j=0, j1=0, k1=0, k2=-1, ks=0, cptcovn=0;
       j=nbocc(model,'+'); /**< j=Number of '+' */
       j1=nbocc(model,'*'); /**< j1=Number of '*' */
       cptcovs=j+1-j1; /**<  Number of simple covariates V1+V2*age+V3 +V3*V4=> V1 + V3 =2  */
       cptcovt= j+1; /* Number of total covariates in the model V1 + V2*age+ V3 + V3*V4=> 4*/
                     /* including age products which are counted in cptcovage.
                     /* but the covariates which are products must be treated separately: ncovn=4- 2=2 (V1+V3). */
       cptcovprod=j1; /**< Number of products  V1*V2 +v3*age = 2 */
       cptcovprodnoage=0; /**< Number of covariate products without age: V3*V4 =1  */
       strcpy(modelsav,model); 
       if (strstr(model,"AGE") !=0){
         printf("Error. AGE must be in lower case 'age' model=%s ",model);
         fprintf(ficlog,"Error. AGE must be in lower case model=%s ",model);fflush(ficlog);
         return 1;
       }
       if (strstr(model,"v") !=0){
         printf("Error. 'v' must be in upper case 'V' model=%s ",model);
         fprintf(ficlog,"Error. 'v' must be in upper case model=%s ",model);fflush(ficlog);
         return 1;
       }
       
       /*   Design
        *  V1   V2   V3   V4  V5  V6  V7  V8  V9 Weight
        *  <          ncovcol=8                >
        * Model V2 + V1 + V3*age + V3 + V5*V6 + V7*V8 + V8*age + V8
        *   k=  1    2      3       4     5       6      7        8
        *  cptcovn number of covariates (not including constant and age ) = # of + plus 1 = 7+1=8
        *  covar[k,i], value of kth covariate if not including age for individual i:
        *       covar[1][i]= (V2), covar[4][i]=(V3), covar[8][i]=(V8)
        *  Tvar[k] # of the kth covariate:  Tvar[1]=2  Tvar[4]=3 Tvar[8]=8
        *       if multiplied by age: V3*age Tvar[3=V3*age]=3 (V3) Tvar[7]=8 and 
        *  Tage[++cptcovage]=k
        *       if products, new covar are created after ncovcol with k1
        *  Tvar[k]=ncovcol+k1; # of the kth covariate product:  Tvar[5]=ncovcol+1=10  Tvar[6]=ncovcol+1=11
        *  Tprod[k1]=k; Tprod[1]=5 Tprod[2]= 6; gives the position of the k1th product
        *  Tvard[k1][1]=m Tvard[k1][2]=m; Tvard[1][1]=5 (V5) Tvard[1][2]=6 Tvard[2][1]=7 (V7) Tvard[2][2]=8
        *  Tvar[cptcovn+k2]=Tvard[k1][1];Tvar[cptcovn+k2+1]=Tvard[k1][2];
        *  Tvar[8+1]=5;Tvar[8+2]=6;Tvar[8+3]=7;Tvar[8+4]=8 inverted
        *  V1   V2   V3   V4  V5  V6  V7  V8  V9  V10  V11
        *  <          ncovcol=8                >
        *       Model V2 + V1 + V3*age + V3 + V5*V6 + V7*V8 + V8*age + V8    d1   d1   d2  d2
        *          k=  1    2      3       4     5       6      7        8    9   10   11  12
        *     Tvar[k]= 2    1      3       3    10      11      8        8    5    6    7   8
        * p Tvar[1]@12={2,   1,     3,      3,   11,     10,     8,       8,   7,   8,   5,  6}
        * p Tprod[1]@2={                         6, 5}
        *p Tvard[1][1]@4= {7, 8, 5, 6}
        * covar[k][i]= V2   V1      ?      V3    V5*V6?   V7*V8?  ?       V8   
        *  cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
        *How to reorganize?
        * Model V1 + V2 + V3 + V8 + V5*V6 + V7*V8 + V3*age + V8*age
        * Tvars {2,   1,     3,      3,   11,     10,     8,       8,   7,   8,   5,  6}
        *       {2,   1,     4,      8,    5,      6,     3,       7}
        * Struct []
        */
   
       /* This loop fills the array Tvar from the string 'model'.*/
       /* j is the number of + signs in the model V1+V2+V3 j=2 i=3 to 1 */
       /*   modelsav=V2+V1+V4+age*V3 strb=age*V3 stra=V2+V1+V4  */
       /*  k=4 (age*V3) Tvar[k=4]= 3 (from V3) Tage[cptcovage=1]=4 */
       /*  k=3 V4 Tvar[k=3]= 4 (from V4) */
       /*  k=2 V1 Tvar[k=2]= 1 (from V1) */
       /*  k=1 Tvar[1]=2 (from V2) */
       /*  k=5 Tvar[5] */
       /* for (k=1; k<=cptcovn;k++) { */
       /*  cov[2+k]=nbcode[Tvar[k]][codtab[ij][Tvar[k]]]; */
       /*  } */
       /* for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
       /*
        * Treating invertedly V2+V1+V3*age+V2*V4 is as if written V2*V4 +V3*age + V1 + V2 */
       for(k=cptcovt; k>=1;k--) /**< Number of covariates */
           Tvar[k]=0;
       cptcovage=0;
       for(k=1; k<=cptcovt;k++){ /* Loop on total covariates of the model */
         cutl(stra,strb,modelsav,'+'); /* keeps in strb after the first '+' 
                                        modelsav==V2+V1+V4+V3*age strb=V3*age stra=V2+V1+V4 */ 
         if (nbocc(modelsav,'+')==0) strcpy(strb,modelsav); /* and analyzes it */
         /*      printf("i=%d a=%s b=%s sav=%s\n",i, stra,strb,modelsav);*/
         /*scanf("%d",i);*/
         if (strchr(strb,'*')) {  /**< Model includes a product V2+V1+V4+V3*age strb=V3*age */
           cutl(strc,strd,strb,'*'); /**< strd*strc  Vm*Vn: strb=V3*age(input) strc=age strd=V3 ; V3*V2 strc=V2, strd=V3 */
           if (strcmp(strc,"age")==0) { /**< Model includes age: Vn*age */
             /* covar is not filled and then is empty */
             cptcovprod--;
             cutl(stre,strb,strd,'V'); /* strd=V3(input): stre="3" */
             Tvar[k]=atoi(stre);  /* V2+V1+V4+V3*age Tvar[4]=3 ; V1+V2*age Tvar[2]=2 */
             cptcovage++; /* Sums the number of covariates which include age as a product */
             Tage[cptcovage]=k;  /* Tage[1] = 4 */
             /*printf("stre=%s ", stre);*/
           } else if (strcmp(strd,"age")==0) { /* or age*Vn */
             cptcovprod--;
             cutl(stre,strb,strc,'V');
             Tvar[k]=atoi(stre);
             cptcovage++;
             Tage[cptcovage]=k;
           } else {  /* Age is not in the model product V2+V1+V1*V4+V3*age+V3*V2  strb=V3*V2*/
             /* loops on k1=1 (V3*V2) and k1=2 V4*V3 */
             cptcovn++;
             cptcovprodnoage++;k1++;
             cutl(stre,strb,strc,'V'); /* strc= Vn, stre is n; strb=V3*V2 stre=3 strc=*/
             Tvar[k]=ncovcol+k1; /* For model-covariate k tells which data-covariate to use but
                                     because this model-covariate is a construction we invent a new column
                                     ncovcol + k1
                                     If already ncovcol=4 and model=V2+V1+V1*V4+age*V3+V3*V2
                                     Tvar[3=V1*V4]=4+1 Tvar[5=V3*V2]=4 + 2= 6, etc */
             cutl(strc,strb,strd,'V'); /* strd was Vm, strc is m */
             Tprod[k1]=k;  /* Tprod[1]=3(=V1*V4) for V2+V1+V1*V4+age*V3+V3*V2  */
             Tvard[k1][1] =atoi(strc); /* m 1 for V1*/
             Tvard[k1][2] =atoi(stre); /* n 4 for V4*/
             k2=k2+2;
             Tvar[cptcovt+k2]=Tvard[k1][1]; /* Tvar[(cptcovt=4+k2=1)=5]= 1 (V1) */
             Tvar[cptcovt+k2+1]=Tvard[k1][2];  /* Tvar[(cptcovt=4+(k2=1)+1)=6]= 4 (V4) */
             for (i=1; i<=lastobs;i++){
               /* Computes the new covariate which is a product of
                  covar[n][i]* covar[m][i] and stores it at ncovol+k1 May not be defined */
               covar[ncovcol+k1][i]=covar[atoi(stre)][i]*covar[atoi(strc)][i];
             }
           } /* End age is not in the model */
         } /* End if model includes a product */
         else { /* no more sum */
           /*printf("d=%s c=%s b=%s\n", strd,strc,strb);*/
          /*  scanf("%d",i);*/
           cutl(strd,strc,strb,'V');
           ks++; /**< Number of simple covariates */
           cptcovn++;
           Tvar[k]=atoi(strd);
         }
         strcpy(modelsav,stra);  /* modelsav=V2+V1+V4 stra=V2+V1+V4 */ 
         /*printf("a=%s b=%s sav=%s\n", stra,strb,modelsav);
           scanf("%d",i);*/
       } /* end of loop + */
     } /* end model */
     
     /*The number n of Vn is stored in Tvar. cptcovage =number of age covariate. Tage gives the position of age. cptcovprod= number of products.
       If model=V1+V1*age then Tvar[1]=1 Tvar[2]=1 cptcovage=1 Tage[1]=2 cptcovprod=0*/
   
     /* printf("tvar1=%d tvar2=%d tvar3=%d cptcovage=%d Tage=%d",Tvar[1],Tvar[2],Tvar[3],cptcovage,Tage[1]);
     printf("cptcovprod=%d ", cptcovprod);
     fprintf(ficlog,"cptcovprod=%d ", cptcovprod);
   
     scanf("%d ",i);*/
   
   
     return (0); /* with covar[new additional covariate if product] and Tage if age */ 
     endread:
       printf("Exiting decodemodel: ");
       return (1);
   }
   
   calandcheckages(int imx, int maxwav, double *agemin, double *agemax, int *nberr, int *nbwarn )
   {
     int i, m;
   
     for (i=1; i<=imx; i++) {
       for(m=2; (m<= maxwav); m++) {
         if (((int)mint[m][i]== 99) && (s[m][i] <= nlstate)){
           anint[m][i]=9999;
           s[m][i]=-1;
         }
         if((int)moisdc[i]==99 && (int)andc[i]==9999 && s[m][i]>nlstate){
           *nberr++;
           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 || s[m][i]==-2 || s[m][i]==-4 || s[m][i]==-5){
           if (s[m][i] >= nlstate+1) {
             if(agedc[i]>0)
               if((int)moisdc[i]!=99 && (int)andc[i]!=9999)
                 agev[m][i]=agedc[i];
             /*if(moisdc[i]==99 && andc[i]==9999) s[m][i]=-1;*/
               else {
                 if ((int)andc[i]!=9999){
                   nbwarn++;
                   printf("Warning negative age at death: %ld line:%d\n",num[i],i);
                   fprintf(ficlog,"Warning negative age at death: %ld line:%d\n",num[i],i);
                   agev[m][i]=-1;
                 }
               }
           }
           else if(s[m][i] !=9){ /* Standard case, age in fractional
                                    years but with the precision of a month */
             agev[m][i]=(mint[m][i]/12.+1./24.+anint[m][i])-(moisnais[i]/12.+1./24.+annais[i]);
             if((int)mint[m][i]==99 || (int)anint[m][i]==9999)
               agev[m][i]=1;
             else if(agev[m][i] < *agemin){ 
               *agemin=agev[m][i];
               printf(" Min anint[%d][%d]=%.2f annais[%d]=%.2f, agemin=%.2f\n",m,i,anint[m][i], i,annais[i], *agemin);
             }
             else if(agev[m][i] >*agemax){
               *agemax=agev[m][i];
               printf(" Max anint[%d][%d]=%.0f annais[%d]=%.0f, agemax=%.2f\n",m,i,anint[m][i], i,annais[i], *agemax);
             }
             /*agev[m][i]=anint[m][i]-annais[i];*/
             /*     agev[m][i] = age[i]+2*m;*/
           }
           else { /* =9 */
             agev[m][i]=1;
             s[m][i]=-1;
           }
         }
         else /*= 0 Unknown */
           agev[m][i]=1;
       }
       
     }
     for (i=1; i<=imx; i++)  {
       for(m=firstpass; (m<=lastpass); m++){
         if (s[m][i] > (nlstate+ndeath)) {
           *nberr++;
           printf("Error: on wave %d of individual %d status %d > (nlstate+ndeath)=(%d+%d)=%d\n",m,i,s[m][i],nlstate, ndeath, nlstate+ndeath);     
           fprintf(ficlog,"Error: on wave %d of individual %d status %d > (nlstate+ndeath)=(%d+%d)=%d\n",m,i,s[m][i],nlstate, ndeath, nlstate+ndeath);     
           return 1;
         }
       }
     }
   
     /*for (i=1; i<=imx; i++){
     for (m=firstpass; (m<lastpass); m++){
        printf("%ld %d %.lf %d %d\n", num[i],(covar[1][i]),agev[m][i],s[m][i],s[m+1][i]);
   }
   
   }*/
   
   
     printf("Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, *agemin, *agemax);
     fprintf(ficlog,"Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, *agemin, *agemax); 
   
     return (0);
     endread:
       printf("Exiting calandcheckages: ");
       return (1);
   }
   
   
   /***********************************************/
   /**************** Main Program *****************/
   /***********************************************/
   
   int main(int argc, char *argv[])
   {
   #ifdef GSL
     const gsl_multimin_fminimizer_type *T;
     size_t iteri = 0, it;
     int rval = GSL_CONTINUE;
     int status = GSL_SUCCESS;
     double ssval;
   #endif
     int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav);
     int i,j, k, n=MAXN,iter,m,size=100,cptcode, cptcod;
     int linei, month, year,iout;
     int jj, ll, li, lj, lk, imk;
     int numlinepar=0; /* Current linenumber of parameter file */
     int itimes;
     int NDIM=2;
     int vpopbased=0;
   
     char ca[32], cb[32], cc[32];
     /*  FILE *fichtm; *//* Html File */
     /* FILE *ficgp;*/ /*Gnuplot File */
     struct stat info;
     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]; 
     char **bp, *tok, *val; /* pathtot */
     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, jk,aa,bb, stepsize, ij;
     int jnais,jdc,jint4,jint1,jint2,jint3,*tab; 
     int mobilavproj=0 , prevfcast=0 ; /* moving average of prev, If prevfcast=1 prevalence projection */
     int mobilav=0,popforecast=0;
     int hstepm, nhstepm;
     int agemortsup;
     float  sumlpop=0.;
     double jprev1=1, mprev1=1,anprev1=2000,jprev2=1, mprev2=1,anprev2=2000;
     double jpyram=1, mpyram=1,anpyram=2000,jpyram1=1, mpyram1=1,anpyram1=2000;
   
     double bage, fage, age, agelim, agebase;
     double ftolpl=FTOL;
     double **prlim;
     double ***param; /* Matrix of parameters */
     double  *p;
     double **matcov; /* Matrix of covariance */
     double ***delti3; /* Scale */
     double *delti; /* Scale */
     double ***eij, ***vareij;
     double **varpl; /* Variances of prevalence limits by age */
     double *epj, vepp;
     double 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]="1234";
     int *dcwave;
   
     char z[1]="c", occ;
   
     /*char  *strt;*/
     char strtend[80];
   
     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: ");
       fgets(pathr,FILENAMELENGTH,stdin);
       i=strlen(pathr);
       if(pathr[i-1]=='\n')
         pathr[i-1]='\0';
      for (tok = pathr; tok != NULL; ){
         printf("Pathr |%s|\n",pathr);
         while ((val = strsep(&tok, "\"" )) != NULL && *val == '\0');
         printf("val= |%s| pathr=%s\n",val,pathr);
         strcpy (pathtot, val);
         if(pathr[0] == '\0') break; /* Dirty */
       }
     }
     else{
       strcpy(pathtot,argv[1]);
     }
     /*if(getcwd(pathcd, MAXLINE)!= NULL)printf ("Error pathcd\n");*/
     /*cygwin_split_path(pathtot,path,optionfile);
       printf("pathtot=%s, path=%s, optionfile=%s\n",pathtot,path,optionfile);*/
     /* cutv(path,optionfile,pathtot,'\\');*/
   
     /* Split argv[0], imach program to get pathimach */
     printf("\nargv[0]=%s argv[1]=%s, \n",argv[0],argv[1]);
     split(argv[0],pathimach,optionfile,optionfilext,optionfilefiname);
     printf("\nargv[0]=%s pathimach=%s, \noptionfile=%s \noptionfilext=%s \noptionfilefiname=%s\n",argv[0],pathimach,optionfile,optionfilext,optionfilefiname);
    /*   strcpy(pathimach,argv[0]); */
     /* Split argv[1]=pathtot, parameter file name to get path, optionfile, extension and name */
     split(pathtot,path,optionfile,optionfilext,optionfilefiname);
     printf("\npathtot=%s,\npath=%s,\noptionfile=%s \noptionfilext=%s \noptionfilefiname=%s\n",pathtot,path,optionfile,optionfilext,optionfilefiname);
     chdir(path); /* Can be a relative path */
     if(getcwd(pathcd,MAXLINE) > 0) /* So pathcd is the full path */
       printf("Current directory %s!\n",pathcd);
     strcpy(command,"mkdir ");
     strcat(command,optionfilefiname);
     if((outcmd=system(command)) != 0){
       printf("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 with errno=%s\n",optionfile,strerror(errno));
       fprintf(ficlog,"Problem with optionfile %s with errno=%s\n",optionfile,strerror(errno));
       fflush(ficlog);
       /* goto end; */
       exit(70); 
     }
   
   
   
     strcpy(filereso,"o");
     strcat(filereso,fileres);
     if((ficparo=fopen(filereso,"w"))==NULL) { /* opened on subdirectory */
       printf("Problem with Output resultfile: %s\n", filereso);
       fprintf(ficlog,"Problem with Output resultfile: %s\n", filereso);
       fflush(ficlog);
       goto end;
     }
   
     /* Reads comments: lines beginning with '#' */
     numlinepar=0;
     while((c=getc(ficpar))=='#' && c!= EOF){
       ungetc(c,ficpar);
       fgets(line, MAXLINE, ficpar);
       numlinepar++;
       fputs(line,stdout);
       fputs(line,ficparo);
       fputs(line,ficlog);
     }
     ungetc(c,ficpar);
   
     fscanf(ficpar,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%lf stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d model=%s\n",title, datafile, &lastobs, &firstpass,&lastpass,&ftol, &stepm, &ncovcol, &nlstate,&ndeath, &maxwav, &mle, &weightopt,model);
     numlinepar++;
     printf("title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\nmodel=%s\n", title, datafile, lastobs, firstpass,lastpass,ftol, stepm, ncovcol, nlstate,ndeath, maxwav, mle, weightopt,model);
     fprintf(ficparo,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\nmodel=%s\n", title, datafile, lastobs, firstpass,lastpass,ftol,stepm,ncovcol,nlstate,ndeath,maxwav, mle, weightopt,model);
     fprintf(ficlog,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\nmodel=%s\n", title, datafile, lastobs, firstpass,lastpass,ftol,stepm,ncovcol,nlstate,ndeath,maxwav, mle, weightopt,model);
     fflush(ficlog);
     while((c=getc(ficpar))=='#' && c!= EOF){
       ungetc(c,ficpar);
       fgets(line, MAXLINE, ficpar);
       numlinepar++;
       fputs(line, stdout);
       //puts(line);
       fputs(line,ficparo);
       fputs(line,ficlog);
     }
     ungetc(c,ficpar);
   
      
     covar=matrix(0,NCOVMAX,1,n);  /**< used in readdata */
     cptcovn=0; /*Number of covariates, i.e. number of '+' in model statement plus one, indepently of n in Vn*/
     /* v1+v2+v3+v2*v4+v5*age makes cptcovn = 5
        v1+v2*age+v2*v3 makes cptcovn = 3
     */
     if (strlen(model)>1) 
       ncovmodel=2+nbocc(model,'+')+1; /*Number of variables including intercept and age = cptcovn + intercept + age : v1+v2+v3+v2*v4+v5*age makes 5+2=7*/
     else
       ncovmodel=2;
     nvar=ncovmodel-1; /* Suppressing age as a basic covariate */
     nforce= (nlstate+ndeath-1)*nlstate; /* Number of forces ij from state i to j */
     npar= nforce*ncovmodel; /* Number of parameters like aij*/
     if(npar >MAXPARM || nlstate >NLSTATEMAX || ndeath >NDEATHMAX || ncovmodel>NCOVMAX){
       printf("Too complex model for current IMaCh: npar=(nlstate+ndeath-1)*nlstate*ncovmodel=%d >= %d(MAXPARM) or nlstate=%d >= %d(NLSTATEMAX) or ndeath=%d >= %d(NDEATHMAX) or ncovmodel=(k+age+#of+signs)=%d(NCOVMAX) >= %d\n",npar, MAXPARM, nlstate, NLSTATEMAX, ndeath, NDEATHMAX, ncovmodel, NCOVMAX);
       fprintf(ficlog,"Too complex model for current IMaCh: %d >=%d(MAXPARM) or %d >=%d(NLSTATEMAX) or %d >=%d(NDEATHMAX) or %d(NCOVMAX) >=%d\n",npar, MAXPARM, nlstate, NLSTATEMAX, ndeath, NDEATHMAX, ncovmodel, NCOVMAX);
       fflush(stdout);
       fclose (ficlog);
       goto end;
     }
     delti3= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
     delti=delti3[1][1];
     /*delti=vector(1,npar); *//* Scale of each paramater (output from hesscov)*/
     if(mle==-1){ /* Print a wizard for help writing covariance matrix */
       prwizard(ncovmodel, nlstate, ndeath, model, ficparo);
       printf(" You choose mle=-1, look at file %s for a template of covariance matrix \n",filereso);
       fprintf(ficlog," You choose mle=-1, look at file %s for a template of covariance matrix \n",filereso);
       free_ma3x(delti3,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel); 
       fclose (ficparo);
       fclose (ficlog);
       goto end;
       exit(0);
     }
     else if(mle==-3) {
       prwizard(ncovmodel, nlstate, ndeath, model, ficparo);
       printf(" You choose mle=-3, look at file %s for a template of covariance matrix \n",filereso);
       fprintf(ficlog," You choose mle=-3, look at file %s for a template of covariance matrix \n",filereso);
       param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
       matcov=matrix(1,npar,1,npar);
     }
     else{
       /* Read guessed parameters */
       /* Reads comments: lines beginning with '#' */
       while((c=getc(ficpar))=='#' && c!= EOF){
         ungetc(c,ficpar);
         fgets(line, MAXLINE, ficpar);
         numlinepar++;
         fputs(line,stdout);
         fputs(line,ficparo);
         fputs(line,ficlog);
       }
       ungetc(c,ficpar);
       
       param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
       for(i=1; i <=nlstate; i++){
         j=0;
         for(jj=1; jj <=nlstate+ndeath; jj++){
           if(jj==i) continue;
           j++;
           fscanf(ficpar,"%1d%1d",&i1,&j1);
           if ((i1 != i) && (j1 != j)){
             printf("Error in line parameters number %d, %1d%1d instead of %1d%1d \n \
   It might be a problem of design; if ncovcol and the model are correct\n \
   run imach with mle=-1 to get a correct template of the parameter file.\n",numlinepar, i,j, i1, j1);
             exit(1);
           }
           fprintf(ficparo,"%1d%1d",i1,j1);
           if(mle==1)
             printf("%1d%1d",i,j);
           fprintf(ficlog,"%1d%1d",i,j);
           for(k=1; k<=ncovmodel;k++){
             fscanf(ficpar," %lf",&param[i][j][k]);
             if(mle==1){
               printf(" %lf",param[i][j][k]);
               fprintf(ficlog," %lf",param[i][j][k]);
             }
             else
               fprintf(ficlog," %lf",param[i][j][k]);
             fprintf(ficparo," %lf",param[i][j][k]);
           }
           fscanf(ficpar,"\n");
           numlinepar++;
           if(mle==1)
             printf("\n");
           fprintf(ficlog,"\n");
           fprintf(ficparo,"\n");
         }
       }  
       fflush(ficlog);
   
       /* Reads scales values */
       p=param[1][1];
       
       /* Reads comments: lines beginning with '#' */
       while((c=getc(ficpar))=='#' && c!= EOF){
         ungetc(c,ficpar);
         fgets(line, MAXLINE, ficpar);
         numlinepar++;
         fputs(line,stdout);
         fputs(line,ficparo);
         fputs(line,ficlog);
       }
       ungetc(c,ficpar);
   
       for(i=1; i <=nlstate; i++){
         for(j=1; j <=nlstate+ndeath-1; j++){
           fscanf(ficpar,"%1d%1d",&i1,&j1);
           if ((i1-i)*(j1-j)!=0){
             printf("Error in line parameters number %d, %1d%1d instead of %1d%1d \n",numlinepar, i,j, i1, j1);
             exit(1);
           }
           printf("%1d%1d",i,j);
           fprintf(ficparo,"%1d%1d",i1,j1);
           fprintf(ficlog,"%1d%1d",i1,j1);
           for(k=1; k<=ncovmodel;k++){
             fscanf(ficpar,"%le",&delti3[i][j][k]);
             printf(" %le",delti3[i][j][k]);
             fprintf(ficparo," %le",delti3[i][j][k]);
             fprintf(ficlog," %le",delti3[i][j][k]);
           }
           fscanf(ficpar,"\n");
           numlinepar++;
           printf("\n");
           fprintf(ficparo,"\n");
           fprintf(ficlog,"\n");
         }
       }
       fflush(ficlog);
   
       /* Reads covariance matrix */
       delti=delti3[1][1];
   
   
       /* free_ma3x(delti3,1,nlstate,1,nlstate+ndeath-1,1,ncovmodel); */ /* Hasn't to to freed here otherwise delti is no more allocated */
     
       /* Reads comments: lines beginning with '#' */
       while((c=getc(ficpar))=='#' && c!= EOF){
         ungetc(c,ficpar);
         fgets(line, MAXLINE, ficpar);
         numlinepar++;
         fputs(line,stdout);
         fputs(line,ficparo);
         fputs(line,ficlog);
       }
       ungetc(c,ficpar);
     
       matcov=matrix(1,npar,1,npar);
       for(i=1; i <=npar; i++)
         for(j=1; j <=npar; j++) matcov[i][j]=0.;
         
       for(i=1; i <=npar; i++){
         fscanf(ficpar,"%s",str);
         if(mle==1)
           printf("%s",str);
         fprintf(ficlog,"%s",str);
         fprintf(ficparo,"%s",str);
         for(j=1; j <=i; j++){
           fscanf(ficpar," %le",&matcov[i][j]);
           if(mle==1){
             printf(" %.5le",matcov[i][j]);
           }
           fprintf(ficlog," %.5le",matcov[i][j]);
           fprintf(ficparo," %.5le",matcov[i][j]);
         }
         fscanf(ficpar,"\n");
         numlinepar++;
         if(mle==1)
           printf("\n");
         fprintf(ficlog,"\n");
         fprintf(ficparo,"\n");
       }
       for(i=1; i <=npar; i++)
         for(j=i+1;j<=npar;j++)
           matcov[i][j]=matcov[j][i];
       
       if(mle==1)
         printf("\n");
       fprintf(ficlog,"\n");
       
       fflush(ficlog);
       
       /*-------- Rewriting parameter file ----------*/
       strcpy(rfileres,"r");    /* "Rparameterfile */
       strcat(rfileres,optionfilefiname);    /* Parameter file first name*/
       strcat(rfileres,".");    /* */
       strcat(rfileres,optionfilext);    /* Other files have txt extension */
       if((ficres =fopen(rfileres,"w"))==NULL) {
         printf("Problem writing new parameter file: %s\n", fileres);goto end;
         fprintf(ficlog,"Problem writing new parameter file: %s\n", fileres);goto end;
       }
       fprintf(ficres,"#%s\n",version);
     }    /* End of mle != -3 */
   
   
     n= lastobs;
     num=lvector(1,n);
     moisnais=vector(1,n);
     annais=vector(1,n);
     moisdc=vector(1,n);
     andc=vector(1,n);
     agedc=vector(1,n);
     cod=ivector(1,n);
     weight=vector(1,n);
     for(i=1;i<=n;i++) weight[i]=1.0; /* Equal weights, 1 by default */
     mint=matrix(1,maxwav,1,n);
     anint=matrix(1,maxwav,1,n);
     s=imatrix(1,maxwav+1,1,n); /* s[i][j] health state for wave i and individual j */ 
     tab=ivector(1,NCOVMAX);
     ncodemax=ivector(1,NCOVMAX); /* Number of code per covariate; if O and 1 only, 2**ncov; V1+V2+V3+V4=>16 */
   
     /* Reads data from file datafile */
     if (readdata(datafile, firstobs, lastobs, &imx)==1)
       goto end;
   
     /* Calculation of the number of parameters from char model */
       /*    modelsav=V2+V1+V4+age*V3 strb=age*V3 stra=V2+V1+V4 
           k=4 (age*V3) Tvar[k=4]= 3 (from V3) Tag[cptcovage=1]=4
           k=3 V4 Tvar[k=3]= 4 (from V4)
           k=2 V1 Tvar[k=2]= 1 (from V1)
           k=1 Tvar[1]=2 (from V2)
       */
     Tvar=ivector(1,NCOVMAX); /* Was 15 changed to NCOVMAX. */
     /*  V2+V1+V4+age*V3 is a model with 4 covariates (3 plus signs). 
         For each model-covariate stores the data-covariate id. Tvar[1]=2, Tvar[2]=1, Tvar[3]=4, 
         Tvar[4=age*V3] is 3 and 'age' is recorded in Tage.
     */
     /* For model-covariate k tells which data-covariate to use but
       because this model-covariate is a construction we invent a new column
       ncovcol + k1
       If already ncovcol=4 and model=V2+V1+V1*V4+age*V3
       Tvar[3=V1*V4]=4+1 etc */
     Tprod=ivector(1,NCOVMAX); /* Gives the position of a product */
     /* Tprod[k1=1]=3(=V1*V4) for V2+V1+V1*V4+age*V3
        if  V2+V1+V1*V4+age*V3+V3*V2   TProd[k1=2]=5 (V3*V2)
     */
     Tvaraff=ivector(1,NCOVMAX); /* Unclear */
     Tvard=imatrix(1,NCOVMAX,1,2); /* n=Tvard[k1][1]  and m=Tvard[k1][2] gives the couple n,m of the k1 th product Vn*Vm
                               * For V3*V2 (in V2+V1+V1*V4+age*V3+V3*V2), V3*V2 position is 2nd. 
                               * Tvard[k1=2][1]=3 (V3) Tvard[k1=2][2]=2(V2) */
     Tage=ivector(1,NCOVMAX); /* Gives the covariate id of covariates associated with age: V2 + V1 + age*V4 + V3*age
                            4 covariates (3 plus signs)
                            Tage[1=V3*age]= 4; Tage[2=age*V4] = 3
                         */  
   
     if(decodemodel(model, lastobs) == 1)
       goto end;
   
     if((double)(lastobs-imx)/(double)imx > 1.10){
       nbwarn++;
       printf("Warning: The value of parameter lastobs=%d is big compared to the \n  effective number of cases imx=%d, please adjust, \n  otherwise you are allocating more memory than necessary.\n",lastobs, imx); 
       fprintf(ficlog,"Warning: The value of parameter lastobs=%d is big compared to the \n  effective number of cases imx=%d, please adjust, \n  otherwise you are allocating more memory than necessary.\n",lastobs, imx); 
     }
       /*  if(mle==1){*/
     if (weightopt != 1) { /* Maximisation without weights. We can have weights different from 1 but want no weight*/
       for(i=1;i<=imx;i++) weight[i]=1.0; /* changed to imx */
     }
   
       /*-calculation of age at interview from date of interview and age at death -*/
     agev=matrix(1,maxwav,1,imx);
   
     if(calandcheckages(imx, maxwav, &agemin, &agemax, &nberr, &nbwarn) == 1)
       goto end;
   
   
     agegomp=(int)agemin;
     free_vector(moisnais,1,n);
     free_vector(annais,1,n);
     /* free_matrix(mint,1,maxwav,1,n);
        free_matrix(anint,1,maxwav,1,n);*/
     free_vector(moisdc,1,n);
     free_vector(andc,1,n);
     /* */
     
     wav=ivector(1,imx);
     dh=imatrix(1,lastpass-firstpass+1,1,imx);
     bh=imatrix(1,lastpass-firstpass+1,1,imx);
     mw=imatrix(1,lastpass-firstpass+1,1,imx);
      
     /* Concatenates waves */
     concatwav(wav, dh, bh, mw, s, agedc, agev,  firstpass, lastpass, imx, nlstate, stepm);
     /* */
    
     /* Routine tricode is to calculate cptcoveff (real number of unique covariates) and to associate covariable number and modality */
   
     nbcode=imatrix(0,NCOVMAX,0,NCOVMAX); 
     ncodemax[1]=1;
     Ndum =ivector(-1,NCOVMAX);  
     if (ncovmodel > 2)
       tricode(Tvar,nbcode,imx, Ndum); /**< Fills nbcode[Tvar[j]][l]; */
   
     codtab=imatrix(1,100,1,10); /* codtab[h,k]=( (h-1) - mod(k-1,2**(k-1) )/2**(k-1) */
     /*printf(" codtab[1,1],codtab[100,10]=%d,%d\n", codtab[1][1],codtab[100][10]);*/
     h=0;
   
   
     /*if (cptcovn > 0) */
         
    
     m=pow(2,cptcoveff);
    
     for(k=1;k<=cptcoveff; k++){ /* scans any effective covariate */
       for(i=1; i <=pow(2,cptcoveff-k);i++){ /* i=1 to 8/1=8; i=1 to 8/2=4; i=1 to 8/8=1 */ 
         for(j=1; j <= ncodemax[k]; j++){ /* For each modality of this covariate ncodemax=2*/
           for(cpt=1; cpt <=pow(2,k-1); cpt++){  /* cpt=1 to 8/2**(3+1-1 or 3+1-3) =1 or 4 */ 
             h++;
             if (h>m) 
               h=1;
             /**< codtab(h,k)  k   = codtab[h,k]=( (h-1) - mod(k-1,2**(k-1) )/2**(k-1) + 1
              *     h     1     2     3     4
              *______________________________  
              *     1 i=1 1 i=1 1 i=1 1 i=1 1
              *     2     2     1     1     1
              *     3 i=2 1     2     1     1
              *     4     2     2     1     1
              *     5 i=3 1 i=2 1     2     1
              *     6     2     1     2     1
              *     7 i=4 1     2     2     1
              *     8     2     2     2     1
              *     9 i=5 1 i=3 1 i=2 1     1
              *    10     2     1     1     1
              *    11 i=6 1     2     1     1
              *    12     2     2     1     1
              *    13 i=7 1 i=4 1     2     1    
              *    14     2     1     2     1
              *    15 i=8 1     2     2     1
              *    16     2     2     2     1
              */
             codtab[h][k]=j;
             /*codtab[h][Tvar[k]]=j;*/
             printf("h=%d k=%d j=%d codtab[h][k]=%d Tvar[k]=%d codtab[h][Tvar[k]]=%d \n",h, k,j,codtab[h][k],Tvar[k],codtab[h][Tvar[k]]);
           } 
         }
       }
     } 
     /* printf("codtab[1][2]=%d codtab[2][2]=%d",codtab[1][2],codtab[2][2]); 
        codtab[1][2]=1;codtab[2][2]=2; */
     /* for(i=1; i <=m ;i++){ 
        for(k=1; k <=cptcovn; k++){
          printf("i=%d k=%d %d %d ",i,k,codtab[i][k], cptcoveff);
        }
        printf("\n");
        }
        scanf("%d",i);*/
   
    free_ivector(Ndum,-1,NCOVMAX);
   
   
       
     /*------------ gnuplot -------------*/
     strcpy(optionfilegnuplot,optionfilefiname);
     if(mle==-3)
       strcat(optionfilegnuplot,"-mort");
     strcat(optionfilegnuplot,".gp");
   
     if((ficgp=fopen(optionfilegnuplot,"w"))==NULL) {
       printf("Problem with file %s",optionfilegnuplot);
     }
     else{
       fprintf(ficgp,"\n# %s\n", version); 
       fprintf(ficgp,"# %s\n", optionfilegnuplot); 
       //fprintf(ficgp,"set missing 'NaNq'\n");
       fprintf(ficgp,"set datafile missing 'NaNq'\n");
     }
     /*  fclose(ficgp);*/
     /*--------- index.htm --------*/
   
     strcpy(optionfilehtm,optionfilefiname); /* Main html file */
     if(mle==-3)
       strcat(optionfilehtm,"-mort");
     strcat(optionfilehtm,".htm");
     if((fichtm=fopen(optionfilehtm,"w"))==NULL)    {
       printf("Problem with %s \n",optionfilehtm);
       exit(0);
     }
   
     strcpy(optionfilehtmcov,optionfilefiname); /* Only for matrix of covariance */
     strcat(optionfilehtmcov,"-cov.htm");
     if((fichtmcov=fopen(optionfilehtmcov,"w"))==NULL)    {
       printf("Problem with %s \n",optionfilehtmcov), exit(0);
     }
     else{
     fprintf(fichtmcov,"<html><head>\n<title>IMaCh Cov %s</title></head>\n <body><font size=\"2\">%s <br> %s</font> \
   <hr size=\"2\" color=\"#EC5E5E\"> \n\
   Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=%s<br>\n",\
             optionfilehtmcov,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);
     }
   
     fprintf(fichtm,"<html><head>\n<title>IMaCh %s</title></head>\n <body><font size=\"2\">%s <br> %s</font> \
   <hr size=\"2\" color=\"#EC5E5E\"> \n\
   Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=%s<br>\n\
   \n\
   <hr  size=\"2\" color=\"#EC5E5E\">\
    <ul><li><h4>Parameter files</h4>\n\
    - Parameter file: <a href=\"%s.%s\">%s.%s</a><br>\n\
    - Copy of the parameter file: <a href=\"o%s\">o%s</a><br>\n\
    - Log file of the run: <a href=\"%s\">%s</a><br>\n\
    - Gnuplot file name: <a href=\"%s\">%s</a><br>\n\
    - Date and time at start: %s</ul>\n",\
             optionfilehtm,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model,\
             optionfilefiname,optionfilext,optionfilefiname,optionfilext,\
             fileres,fileres,\
             filelog,filelog,optionfilegnuplot,optionfilegnuplot,strstart);
     fflush(fichtm);
   
     strcpy(pathr,path);
     strcat(pathr,optionfilefiname);
     chdir(optionfilefiname); /* Move to directory named optionfile */
     
     /* Calculates basic frequencies. Computes observed prevalence at single age
        and prints on file fileres'p'. */
     freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint,strstart);
   
     fprintf(fichtm,"\n");
     fprintf(fichtm,"<br>Total number of observations=%d <br>\n\
   Youngest age at first (selected) pass %.2f, oldest age %.2f<br>\n\
   Interval (in months) between two waves: Min=%d Max=%d Mean=%.2lf<br>\n",\
             imx,agemin,agemax,jmin,jmax,jmean);
     pmmij= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
       oldms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
       newms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
       savms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
       oldm=oldms; newm=newms; savm=savms; /* Keeps fixed addresses to free */
       
      
     /* For Powell, parameters are in a vector p[] starting at p[1]
        so we point p on param[1][1] so that p[1] maps on param[1][1][1] */
     p=param[1][1]; /* *(*(*(param +1)+1)+0) */
   
     globpr=0; /* To get the number ipmx of contributions and the sum of weights*/
   
     if (mle==-3){
       ximort=matrix(1,NDIM,1,NDIM); 
   /*     ximort=gsl_matrix_alloc(1,NDIM,1,NDIM); */
       cens=ivector(1,n);
       ageexmed=vector(1,n);
       agecens=vector(1,n);
       dcwave=ivector(1,n);
    
       for (i=1; i<=imx; i++){
         dcwave[i]=-1;
         for (m=firstpass; m<=lastpass; m++)
           if (s[m][i]>nlstate) {
             dcwave[i]=m;
             /*    printf("i=%d j=%d s=%d dcwave=%d\n",i,j, s[j][i],dcwave[i]);*/
             break;
           }
       }
   
       for (i=1; i<=imx; i++) {
         if (wav[i]>0){
           ageexmed[i]=agev[mw[1][i]][i];
           j=wav[i];
           agecens[i]=1.; 
   
           if (ageexmed[i]> 1 && wav[i] > 0){
             agecens[i]=agev[mw[j][i]][i];
             cens[i]= 1;
           }else if (ageexmed[i]< 1) 
             cens[i]= -1;
           if (agedc[i]< AGESUP && agedc[i]>1 && dcwave[i]>firstpass && dcwave[i]<=lastpass)
             cens[i]=0 ;
         }
         else cens[i]=-1;
       }
       
       for (i=1;i<=NDIM;i++) {
         for (j=1;j<=NDIM;j++)
           ximort[i][j]=(i == j ? 1.0 : 0.0);
       }
       
       /*p[1]=0.0268; p[NDIM]=0.083;*/
       /*printf("%lf %lf", p[1], p[2]);*/
       
       
   #ifdef GSL
       printf("GSL optimization\n");  fprintf(ficlog,"Powell\n");
   #elsedef
       printf("Powell\n");  fprintf(ficlog,"Powell\n");
   #endif
       strcpy(filerespow,"pow-mort"); 
       strcat(filerespow,fileres);
       if((ficrespow=fopen(filerespow,"w"))==NULL) {
         printf("Problem with resultfile: %s\n", filerespow);
         fprintf(ficlog,"Problem with resultfile: %s\n", filerespow);
       }
   #ifdef GSL
       fprintf(ficrespow,"# GSL optimization\n# iter -2*LL");
   #elsedef
       fprintf(ficrespow,"# Powell\n# iter -2*LL");
   #endif
       /*  for (i=1;i<=nlstate;i++)
           for(j=1;j<=nlstate+ndeath;j++)
           if(j!=i)fprintf(ficrespow," p%1d%1d",i,j);
       */
       fprintf(ficrespow,"\n");
   #ifdef GSL
       /* gsl starts here */ 
       T = gsl_multimin_fminimizer_nmsimplex;
       gsl_multimin_fminimizer *sfm = NULL;
       gsl_vector *ss, *x;
       gsl_multimin_function minex_func;
   
       /* Initial vertex size vector */
       ss = gsl_vector_alloc (NDIM);
       
       if (ss == NULL){
         GSL_ERROR_VAL ("failed to allocate space for ss", GSL_ENOMEM, 0);
       }
       /* Set all step sizes to 1 */
       gsl_vector_set_all (ss, 0.001);
   
       /* Starting point */
       
       x = gsl_vector_alloc (NDIM);
       
       if (x == NULL){
         gsl_vector_free(ss);
         GSL_ERROR_VAL ("failed to allocate space for x", GSL_ENOMEM, 0);
       }
     
       /* Initialize method and iterate */
       /*     p[1]=0.0268; p[NDIM]=0.083; */
   /*     gsl_vector_set(x, 0, 0.0268); */
   /*     gsl_vector_set(x, 1, 0.083); */
       gsl_vector_set(x, 0, p[1]);
       gsl_vector_set(x, 1, p[2]);
   
       minex_func.f = &gompertz_f;
       minex_func.n = NDIM;
       minex_func.params = (void *)&p; /* ??? */
       
       sfm = gsl_multimin_fminimizer_alloc (T, NDIM);
       gsl_multimin_fminimizer_set (sfm, &minex_func, x, ss);
       
       printf("Iterations beginning .....\n\n");
       printf("Iter. #    Intercept       Slope     -Log Likelihood     Simplex size\n");
   
       iteri=0;
       while (rval == GSL_CONTINUE){
         iteri++;
         status = gsl_multimin_fminimizer_iterate(sfm);
         
         if (status) printf("error: %s\n", gsl_strerror (status));
         fflush(0);
         
         if (status) 
           break;
         
         rval = gsl_multimin_test_size (gsl_multimin_fminimizer_size (sfm), 1e-6);
         ssval = gsl_multimin_fminimizer_size (sfm);
         
         if (rval == GSL_SUCCESS)
           printf ("converged to a local maximum at\n");
         
         printf("%5d ", iteri);
         for (it = 0; it < NDIM; it++){
           printf ("%10.5f ", gsl_vector_get (sfm->x, it));
         }
         printf("f() = %-10.5f ssize = %.7f\n", sfm->fval, ssval);
       }
       
       printf("\n\n Please note: Program should be run many times with varying starting points to detemine global maximum\n\n");
       
       gsl_vector_free(x); /* initial values */
       gsl_vector_free(ss); /* inital step size */
       for (it=0; it<NDIM; it++){
         p[it+1]=gsl_vector_get(sfm->x,it);
         fprintf(ficrespow," %.12lf", p[it]);
       }
       gsl_multimin_fminimizer_free (sfm); /* p *(sfm.x.data) et p *(sfm.x.data+1)  */
   #endif
   #ifdef POWELL
        powell(p,ximort,NDIM,ftol,&iter,&fret,gompertz);
   #endif  
       fclose(ficrespow);
       
       hesscov(matcov, p, NDIM, delti, 1e-4, gompertz); 
   
       for(i=1; i <=NDIM; i++)
         for(j=i+1;j<=NDIM;j++)
           matcov[i][j]=matcov[j][i];
       
       printf("\nCovariance matrix\n ");
       for(i=1; i <=NDIM; i++) {
         for(j=1;j<=NDIM;j++){ 
           printf("%f ",matcov[i][j]);
         }
         printf("\n ");
       }
       
       printf("iter=%d MLE=%f Eq=%lf*exp(%lf*(age-%d))\n",iter,-gompertz(p),p[1],p[2],agegomp);
       for (i=1;i<=NDIM;i++) 
         printf("%f [%f ; %f]\n",p[i],p[i]-2*sqrt(matcov[i][i]),p[i]+2*sqrt(matcov[i][i]));
   
       lsurv=vector(1,AGESUP);
       lpop=vector(1,AGESUP);
       tpop=vector(1,AGESUP);
       lsurv[agegomp]=100000;
       
       for (k=agegomp;k<=AGESUP;k++) {
         agemortsup=k;
         if (p[1]*exp(p[2]*(k-agegomp))>1) break;
       }
       
       for (k=agegomp;k<agemortsup;k++)
         lsurv[k+1]=lsurv[k]-lsurv[k]*(p[1]*exp(p[2]*(k-agegomp)));
       
       for (k=agegomp;k<agemortsup;k++){
         lpop[k]=(lsurv[k]+lsurv[k+1])/2.;
         sumlpop=sumlpop+lpop[k];
       }
       
       tpop[agegomp]=sumlpop;
       for (k=agegomp;k<(agemortsup-3);k++){
         /*  tpop[k+1]=2;*/
         tpop[k+1]=tpop[k]-lpop[k];
       }
       
       
       printf("\nAge   lx     qx    dx    Lx     Tx     e(x)\n");
       for (k=agegomp;k<(agemortsup-2);k++) 
         printf("%d %.0lf %lf %.0lf %.0lf %.0lf %lf\n",k,lsurv[k],p[1]*exp(p[2]*(k-agegomp)),(p[1]*exp(p[2]*(k-agegomp)))*lsurv[k],lpop[k],tpop[k],tpop[k]/lsurv[k]);
       
       
       replace_back_to_slash(pathc,pathcd); /* Even gnuplot wants a / */
       printinggnuplotmort(fileres, optionfilefiname,ageminpar,agemaxpar,fage, pathc,p);
       
       printinghtmlmort(fileres,title,datafile, firstpass, lastpass, \
                        stepm, weightopt,\
                        model,imx,p,matcov,agemortsup);
       
       free_vector(lsurv,1,AGESUP);
       free_vector(lpop,1,AGESUP);
       free_vector(tpop,1,AGESUP);
   #ifdef GSL
       free_ivector(cens,1,n);
       free_vector(agecens,1,n);
       free_ivector(dcwave,1,n);
       free_matrix(ximort,1,NDIM,1,NDIM);
   #endif
     } /* Endof if mle==-3 */
     
     else{ /* For mle >=1 */
       globpr=0;/* debug */
       likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
       printf("First Likeli=%12.6f ipmx=%ld sw=%12.6f",fretone,ipmx,sw);
       for (k=1; k<=npar;k++)
         printf(" %d %8.5f",k,p[k]);
       printf("\n");
       globpr=1; /* to print the contributions */
       likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
       printf("Second Likeli=%12.6f ipmx=%ld sw=%12.6f",fretone,ipmx,sw);
       for (k=1; k<=npar;k++)
         printf(" %d %8.5f",k,p[k]);
       printf("\n");
       if(mle>=1){ /* Could be 1 or 2 */
         mlikeli(ficres,p, npar, ncovmodel, nlstate, ftol, func);
       }
       
       /*--------- results files --------------*/
       fprintf(ficres,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle= 0 weight=%d\nmodel=%s\n", title, datafile, lastobs, firstpass,lastpass,ftol, stepm, ncovcol, nlstate, ndeath, maxwav, weightopt,model);
       
       
       fprintf(ficres,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
       printf("# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
       fprintf(ficlog,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
       for(i=1,jk=1; i <=nlstate; i++){
         for(k=1; k <=(nlstate+ndeath); k++){
           if (k != i) {
             printf("%d%d ",i,k);
             fprintf(ficlog,"%d%d ",i,k);
             fprintf(ficres,"%1d%1d ",i,k);
             for(j=1; j <=ncovmodel; j++){
               printf("%lf ",p[jk]);
               fprintf(ficlog,"%lf ",p[jk]);
               fprintf(ficres,"%lf ",p[jk]);
               jk++; 
             }
             printf("\n");
             fprintf(ficlog,"\n");
             fprintf(ficres,"\n");
           }
         }
       }
       if(mle!=0){
         /* Computing hessian and covariance matrix */
         ftolhess=ftol; /* Usually correct */
         hesscov(matcov, p, npar, delti, ftolhess, func);
       }
       fprintf(ficres,"# Scales (for hessian or gradient estimation)\n");
       printf("# Scales (for hessian or gradient estimation)\n");
       fprintf(ficlog,"# Scales (for hessian or gradient estimation)\n");
       for(i=1,jk=1; i <=nlstate; i++){
         for(j=1; j <=nlstate+ndeath; j++){
           if (j!=i) {
             fprintf(ficres,"%1d%1d",i,j);
             printf("%1d%1d",i,j);
             fprintf(ficlog,"%1d%1d",i,j);
             for(k=1; k<=ncovmodel;k++){
               printf(" %.5e",delti[jk]);
               fprintf(ficlog," %.5e",delti[jk]);
               fprintf(ficres," %.5e",delti[jk]);
               jk++;
             }
             printf("\n");
             fprintf(ficlog,"\n");
             fprintf(ficres,"\n");
           }
         }
       }
       
       fprintf(ficres,"# Covariance matrix \n# 121 Var(a12)\n# 122 Cov(b12,a12) Var(b12)\n#   ...\n# 232 Cov(b23,a12)  Cov(b23,b12) ... Var (b23)\n");
       if(mle>=1)
         printf("# Covariance matrix \n# 121 Var(a12)\n# 122 Cov(b12,a12) Var(b12)\n#   ...\n# 232 Cov(b23,a12)  Cov(b23,b12) ... Var (b23)\n");
       fprintf(ficlog,"# Covariance matrix \n# 121 Var(a12)\n# 122 Cov(b12,a12) Var(b12)\n#   ...\n# 232 Cov(b23,a12)  Cov(b23,b12) ... Var (b23)\n");
       /* # 121 Var(a12)\n\ */
       /* # 122 Cov(b12,a12) Var(b12)\n\ */
       /* # 131 Cov(a13,a12) Cov(a13,b12, Var(a13)\n\ */
       /* # 132 Cov(b13,a12) Cov(b13,b12, Cov(b13,a13) Var(b13)\n\ */
       /* # 212 Cov(a21,a12) Cov(a21,b12, Cov(a21,a13) Cov(a21,b13) Var(a21)\n\ */
       /* # 212 Cov(b21,a12) Cov(b21,b12, Cov(b21,a13) Cov(b21,b13) Cov(b21,a21) Var(b21)\n\ */
       /* # 232 Cov(a23,a12) Cov(a23,b12, Cov(a23,a13) Cov(a23,b13) Cov(a23,a21) Cov(a23,b21) Var(a23)\n\ */
       /* # 232 Cov(b23,a12) Cov(b23,b12) ... Var (b23)\n" */
       
       
       /* Just to have a covariance matrix which will be more understandable
          even is we still don't want to manage dictionary of variables
       */
       for(itimes=1;itimes<=2;itimes++){
         jj=0;
         for(i=1; i <=nlstate; i++){
           for(j=1; j <=nlstate+ndeath; j++){
             if(j==i) continue;
             for(k=1; k<=ncovmodel;k++){
               jj++;
               ca[0]= k+'a'-1;ca[1]='\0';
               if(itimes==1){
                 if(mle>=1)
                   printf("#%1d%1d%d",i,j,k);
                 fprintf(ficlog,"#%1d%1d%d",i,j,k);
                 fprintf(ficres,"#%1d%1d%d",i,j,k);
               }else{
                 if(mle>=1)
                   printf("%1d%1d%d",i,j,k);
                 fprintf(ficlog,"%1d%1d%d",i,j,k);
                 fprintf(ficres,"%1d%1d%d",i,j,k);
               }
               ll=0;
               for(li=1;li <=nlstate; li++){
                 for(lj=1;lj <=nlstate+ndeath; lj++){
                   if(lj==li) continue;
                   for(lk=1;lk<=ncovmodel;lk++){
                     ll++;
                     if(ll<=jj){
                       cb[0]= lk +'a'-1;cb[1]='\0';
                       if(ll<jj){
                         if(itimes==1){
                           if(mle>=1)
                             printf(" Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                           fprintf(ficlog," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                           fprintf(ficres," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                         }else{
                           if(mle>=1)
                             printf(" %.5e",matcov[jj][ll]); 
                           fprintf(ficlog," %.5e",matcov[jj][ll]); 
                           fprintf(ficres," %.5e",matcov[jj][ll]); 
                         }
                       }else{
                         if(itimes==1){
                           if(mle>=1)
                             printf(" Var(%s%1d%1d)",ca,i,j);
                           fprintf(ficlog," Var(%s%1d%1d)",ca,i,j);
                           fprintf(ficres," Var(%s%1d%1d)",ca,i,j);
                         }else{
                           if(mle>=1)
                             printf(" %.5e",matcov[jj][ll]); 
                           fprintf(ficlog," %.5e",matcov[jj][ll]); 
                           fprintf(ficres," %.5e",matcov[jj][ll]); 
                         }
                       }
                     }
                   } /* end lk */
                 } /* end lj */
               } /* end li */
               if(mle>=1)
                 printf("\n");
               fprintf(ficlog,"\n");
               fprintf(ficres,"\n");
               numlinepar++;
             } /* end k*/
           } /*end j */
         } /* end i */
       } /* end itimes */
       
       fflush(ficlog);
       fflush(ficres);
       
       while((c=getc(ficpar))=='#' && c!= EOF){
         ungetc(c,ficpar);
         fgets(line, MAXLINE, ficpar);
         fputs(line,stdout);
         fputs(line,ficparo);
       }
       ungetc(c,ficpar);
       
       estepm=0;
       fscanf(ficpar,"agemin=%lf agemax=%lf bage=%lf fage=%lf estepm=%d\n",&ageminpar,&agemaxpar, &bage, &fage, &estepm);
       if (estepm==0 || estepm < stepm) estepm=stepm;
       if (fage <= 2) {
         bage = ageminpar;
         fage = agemaxpar;
       }
       
       fprintf(ficres,"# agemin agemax for life expectancy, bage fage (if mle==0 ie no data nor Max likelihood).\n");
       fprintf(ficres,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d\n",ageminpar,agemaxpar,bage,fage, estepm);
       fprintf(ficparo,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d\n",ageminpar,agemaxpar,bage,fage, estepm);
       
       while((c=getc(ficpar))=='#' && c!= EOF){
         ungetc(c,ficpar);
         fgets(line, MAXLINE, ficpar);
         fputs(line,stdout);
         fputs(line,ficparo);
       }
       ungetc(c,ficpar);
       
       fscanf(ficpar,"begin-prev-date=%lf/%lf/%lf end-prev-date=%lf/%lf/%lf mov_average=%d\n",&jprev1, &mprev1,&anprev1,&jprev2, &mprev2,&anprev2,&mobilav);
       fprintf(ficparo,"begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf mov_average=%d\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,mobilav);
       fprintf(ficres,"begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf mov_average=%d\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,mobilav);
       printf("begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf mov_average=%d\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,mobilav);
       fprintf(ficlog,"begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf mov_average=%d\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,mobilav);
       
       while((c=getc(ficpar))=='#' && c!= EOF){
         ungetc(c,ficpar);
         fgets(line, MAXLINE, ficpar);
         fputs(line,stdout);
         fputs(line,ficparo);
       }
       ungetc(c,ficpar);
       
       
       dateprev1=anprev1+(mprev1-1)/12.+(jprev1-1)/365.;
       dateprev2=anprev2+(mprev2-1)/12.+(jprev2-1)/365.;
       
       fscanf(ficpar,"pop_based=%d\n",&popbased);
       fprintf(ficparo,"pop_based=%d\n",popbased);   
       fprintf(ficres,"pop_based=%d\n",popbased);   
       
       while((c=getc(ficpar))=='#' && c!= EOF){
         ungetc(c,ficpar);
         fgets(line, MAXLINE, ficpar);
         fputs(line,stdout);
         fputs(line,ficparo);
       }
       ungetc(c,ficpar);
       
       fscanf(ficpar,"prevforecast=%d starting-proj-date=%lf/%lf/%lf final-proj-date=%lf/%lf/%lf mobil_average=%d\n",&prevfcast,&jproj1,&mproj1,&anproj1,&jproj2,&mproj2,&anproj2,&mobilavproj);
       fprintf(ficparo,"prevforecast=%d starting-proj-date=%.lf/%.lf/%.lf final-proj-date=%.lf/%.lf/%.lf mobil_average=%d\n",prevfcast,jproj1,mproj1,anproj1,jproj2,mproj2,anproj2,mobilavproj);
       printf("prevforecast=%d starting-proj-date=%.lf/%.lf/%.lf final-proj-date=%.lf/%.lf/%.lf mobil_average=%d\n",prevfcast,jproj1,mproj1,anproj1,jproj2,mproj2,anproj2,mobilavproj);
       fprintf(ficlog,"prevforecast=%d starting-proj-date=%.lf/%.lf/%.lf final-proj-date=%.lf/%.lf/%.lf mobil_average=%d\n",prevfcast,jproj1,mproj1,anproj1,jproj2,mproj2,anproj2,mobilavproj);
       fprintf(ficres,"prevforecast=%d starting-proj-date=%.lf/%.lf/%.lf final-proj-date=%.lf/%.lf/%.lf mobil_average=%d\n",prevfcast,jproj1,mproj1,anproj1,jproj2,mproj2,anproj2,mobilavproj);
       /* day and month of proj2 are not used but only year anproj2.*/
       
       
       
        /* freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint); */
       /* ,dateprev1,dateprev2,jprev1, mprev1,anprev1,jprev2, mprev2,anprev2); */
       
       replace_back_to_slash(pathc,pathcd); /* Even gnuplot wants a / */
       printinggnuplot(fileres, optionfilefiname,ageminpar,agemaxpar,fage, pathc,p);
       
       printinghtml(fileres,title,datafile, firstpass, lastpass, stepm, weightopt,\
                    model,imx,jmin,jmax,jmean,rfileres,popforecast,estepm,\
                    jprev1,mprev1,anprev1,jprev2,mprev2,anprev2);
         
      /*------------ free_vector  -------------*/
      /*  chdir(path); */
    
       free_ivector(wav,1,imx);
       free_imatrix(dh,1,lastpass-firstpass+1,1,imx);
       free_imatrix(bh,1,lastpass-firstpass+1,1,imx);
       free_imatrix(mw,1,lastpass-firstpass+1,1,imx);   
       free_lvector(num,1,n);
       free_vector(agedc,1,n);
       /*free_matrix(covar,0,NCOVMAX,1,n);*/
       /*free_matrix(covar,1,NCOVMAX,1,n);*/
       fclose(ficparo);
       fclose(ficres);
   
   
       /*--------------- Prevalence limit  (period or stable prevalence) --------------*/
   #include "prevlim.h"  /* Use ficrespl, ficlog */
       fclose(ficrespl);
   
   #ifdef FREEEXIT2
   #include "freeexit2.h"
   #endif
   
       /*------------- h Pij x at various ages ------------*/
   #include "hpijx.h"
       fclose(ficrespij);
   
     /*-------------- Variance of one-step probabilities---*/
       k=1;
       varprob(optionfilefiname, matcov, p, delti, nlstate, bage, fage,k,Tvar,nbcode, ncodemax,strstart);
   
   
       probs= ma3x(1,AGESUP,1,NCOVMAX, 1,NCOVMAX);
       for(i=1;i<=AGESUP;i++)
         for(j=1;j<=NCOVMAX;j++)
           for(k=1;k<=NCOVMAX;k++)
             probs[i][j][k]=0.;
   
       /*---------- Forecasting ------------------*/
       /*if((stepm == 1) && (strcmp(model,".")==0)){*/
       if(prevfcast==1){
         /*    if(stepm ==1){*/
         prevforecast(fileres, anproj1, mproj1, jproj1, agemin, agemax, dateprev1, dateprev2, mobilavproj, bage, fage, firstpass, lastpass, anproj2, p, cptcoveff);
         /* (popforecast==1) populforecast(fileres, anpyram,mpyram,jpyram, agemin,agemax, dateprev1, dateprev2,mobilav, agedeb, fage, popforecast, popfile, anpyram1,p, i1);*/
         /*      }  */
         /*      else{ */
         /*        erreur=108; */
         /*        printf("Warning %d!! You can only forecast the prevalences if the optimization\n  has been performed with stepm = 1 (month) instead of %d or model=. instead of '%s'\n", erreur, stepm, model); */
         /*        fprintf(ficlog,"Warning %d!! You can only forecast the prevalences if the optimization\n  has been performed with stepm = 1 (month) instead of %d or model=. instead of '%s'\n", erreur, stepm, model); */
         /*      } */
       }
     
   
       /* Computes prevalence between agemin (i.e minimal age computed) and no more ageminpar */
   
       prevalence(probs, agemin, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass);
       /*  printf("ageminpar=%f, agemax=%f, s[lastpass][imx]=%d, agev[lastpass][imx]=%f, nlstate=%d, imx=%d,  mint[lastpass][imx]=%f, anint[lastpass][imx]=%f,dateprev1=%f, dateprev2=%f, firstpass=%d, lastpass=%d\n",\
           ageminpar, agemax, s[lastpass][imx], agev[lastpass][imx], nlstate, imx, mint[lastpass][imx],anint[lastpass][imx], dateprev1, dateprev2, firstpass, lastpass);
       */
   
       if (mobilav!=0) {
         mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
         if (movingaverage(probs, bage, fage, mobaverage,mobilav)!=0){
           fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
           printf(" Error in movingaverage mobilav=%d\n",mobilav);
         }
       }
   
   
       /*---------- Health expectancies, no variances ------------*/
   
       strcpy(filerese,"e");
       strcat(filerese,fileres);
       if((ficreseij=fopen(filerese,"w"))==NULL) {
         printf("Problem with Health Exp. resultfile: %s\n", filerese); exit(0);
         fprintf(ficlog,"Problem with Health Exp. resultfile: %s\n", filerese); exit(0);
       }
       printf("Computing Health Expectancies: result on file '%s' \n", filerese);
       fprintf(ficlog,"Computing Health Expectancies: result on file '%s' \n", filerese);
       /*for(cptcov=1,k=0;cptcov<=i1;cptcov++){
         for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*/
             
       for (k=1; k <= (int) pow(2,cptcoveff); k++){
           fprintf(ficreseij,"\n#****** ");
           for(j=1;j<=cptcoveff;j++) {
             fprintf(ficreseij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
           }
           fprintf(ficreseij,"******\n");
   
           eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
           oldm=oldms;savm=savms;
           evsij(eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k, estepm, strstart);  
         
           free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);
         /*}*/
       }
       fclose(ficreseij);
   
   
       /*---------- Health expectancies and variances ------------*/
   
   
       strcpy(filerest,"t");
       strcat(filerest,fileres);
       if((ficrest=fopen(filerest,"w"))==NULL) {
         printf("Problem with total LE resultfile: %s\n", filerest);goto end;
         fprintf(ficlog,"Problem with total LE resultfile: %s\n", filerest);goto end;
       }
       printf("Computing Total Life expectancies with their standard errors: file '%s' \n", filerest); 
       fprintf(ficlog,"Computing Total Life expectancies with their standard errors: file '%s' \n", filerest); 
   
   
       strcpy(fileresstde,"stde");
       strcat(fileresstde,fileres);
       if((ficresstdeij=fopen(fileresstde,"w"))==NULL) {
         printf("Problem with Health Exp. and std errors resultfile: %s\n", fileresstde); exit(0);
         fprintf(ficlog,"Problem with Health Exp. and std errors resultfile: %s\n", fileresstde); exit(0);
       }
       printf("Computing Health Expectancies and standard errors: result on file '%s' \n", fileresstde);
       fprintf(ficlog,"Computing Health Expectancies and standard errors: result on file '%s' \n", fileresstde);
   
       strcpy(filerescve,"cve");
       strcat(filerescve,fileres);
       if((ficrescveij=fopen(filerescve,"w"))==NULL) {
         printf("Problem with Covar. Health Exp. resultfile: %s\n", filerescve); exit(0);
         fprintf(ficlog,"Problem with Covar. Health Exp. resultfile: %s\n", filerescve); exit(0);
       }
       printf("Computing Covar. of Health Expectancies: result on file '%s' \n", filerescve);
       fprintf(ficlog,"Computing Covar. of Health Expectancies: result on file '%s' \n", filerescve);
   
       strcpy(fileresv,"v");
       strcat(fileresv,fileres);
       if((ficresvij=fopen(fileresv,"w"))==NULL) {
         printf("Problem with variance resultfile: %s\n", fileresv);exit(0);
         fprintf(ficlog,"Problem with variance resultfile: %s\n", fileresv);exit(0);
       }
       printf("Computing Variance-covariance of DFLEs: file '%s' \n", fileresv);
       fprintf(ficlog,"Computing Variance-covariance of DFLEs: file '%s' \n", fileresv);
   
       /*for(cptcov=1,k=0;cptcov<=i1;cptcov++){
         for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*/
             
       for (k=1; k <= (int) pow(2,cptcoveff); k++){
           fprintf(ficrest,"\n#****** ");
           for(j=1;j<=cptcoveff;j++) 
             fprintf(ficrest,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
           fprintf(ficrest,"******\n");
   
           fprintf(ficresstdeij,"\n#****** ");
           fprintf(ficrescveij,"\n#****** ");
           for(j=1;j<=cptcoveff;j++) {
             fprintf(ficresstdeij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
             fprintf(ficrescveij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
           }
           fprintf(ficresstdeij,"******\n");
           fprintf(ficrescveij,"******\n");
   
           fprintf(ficresvij,"\n#****** ");
           for(j=1;j<=cptcoveff;j++) 
             fprintf(ficresvij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
           fprintf(ficresvij,"******\n");
   
           eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
           oldm=oldms;savm=savms;
           cvevsij(eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k, estepm, delti, matcov, strstart);  
           /*
            */
           /* goto endfree; */
    
           vareij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
           pstamp(ficrest);
   
   
           for(vpopbased=0; vpopbased <= popbased; vpopbased++){ /* Done for vpopbased=0 and vpopbased=1 if popbased==1*/
             oldm=oldms;savm=savms; /* Segmentation fault */
             varevsij(optionfilefiname, vareij, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k, estepm, cptcov,cptcod,vpopbased,mobilav, strstart);
             fprintf(ficrest,"# Total life expectancy with std error and decomposition into time to be expected in each health state\n#  (weighted average of eij where weights are ");
             if(vpopbased==1)
               fprintf(ficrest,"the age specific prevalence observed (cross-sectionally) in the population i.e cross-sectionally\n in each health state (popbased=1) (mobilav=%d)\n",mobilav);
             else
               fprintf(ficrest,"the age specific period (stable) prevalences in each health state \n");
             fprintf(ficrest,"# Age e.. (std) ");
             for (i=1;i<=nlstate;i++) fprintf(ficrest,"e.%d (std) ",i);
             fprintf(ficrest,"\n");
   
             epj=vector(1,nlstate+1);
             for(age=bage; age <=fage ;age++){
               prevalim(prlim, nlstate, p, age, oldm, savm,ftolpl,k);
               if (vpopbased==1) {
                 if(mobilav ==0){
                   for(i=1; i<=nlstate;i++)
                     prlim[i][i]=probs[(int)age][i][k];
                 }else{ /* mobilav */ 
                   for(i=1; i<=nlstate;i++)
                     prlim[i][i]=mobaverage[(int)age][i][k];
                 }
               }
           
               fprintf(ficrest," %4.0f",age);
               for(j=1, epj[nlstate+1]=0.;j <=nlstate;j++){
                 for(i=1, epj[j]=0.;i <=nlstate;i++) {
                   epj[j] += prlim[i][i]*eij[i][j][(int)age];
                   /*  printf("%lf %lf ", prlim[i][i] ,eij[i][j][(int)age]);*/
                 }
                 epj[nlstate+1] +=epj[j];
               }
   
               for(i=1, vepp=0.;i <=nlstate;i++)
                 for(j=1;j <=nlstate;j++)
                   vepp += vareij[i][j][(int)age];
               fprintf(ficrest," %7.3f (%7.3f)", epj[nlstate+1],sqrt(vepp));
               for(j=1;j <=nlstate;j++){
                 fprintf(ficrest," %7.3f (%7.3f)", epj[j],sqrt(vareij[j][j][(int)age]));
               }
               fprintf(ficrest,"\n");
             }
           }
           free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);
           free_ma3x(vareij,1,nlstate,1,nlstate,(int) bage, (int)fage);
           free_vector(epj,1,nlstate+1);
         /*}*/
       }
       free_vector(weight,1,n);
       free_imatrix(Tvard,1,NCOVMAX,1,2);
       free_imatrix(s,1,maxwav+1,1,n);
       free_matrix(anint,1,maxwav,1,n); 
       free_matrix(mint,1,maxwav,1,n);
       free_ivector(cod,1,n);
       free_ivector(tab,1,NCOVMAX);
       fclose(ficresstdeij);
       fclose(ficrescveij);
       fclose(ficresvij);
       fclose(ficrest);
       fclose(ficpar);
     
       /*------- Variance of period (stable) prevalence------*/   
   
       strcpy(fileresvpl,"vpl");
       strcat(fileresvpl,fileres);
       if((ficresvpl=fopen(fileresvpl,"w"))==NULL) {
         printf("Problem with variance of period (stable) prevalence  resultfile: %s\n", fileresvpl);
         exit(0);
       }
       printf("Computing Variance-covariance of period (stable) prevalence: file '%s' \n", fileresvpl);
   
       /*for(cptcov=1,k=0;cptcov<=i1;cptcov++){
         for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*/
             
       for (k=1; k <= (int) pow(2,cptcoveff); k++){
           fprintf(ficresvpl,"\n#****** ");
           for(j=1;j<=cptcoveff;j++) 
             fprintf(ficresvpl,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
           fprintf(ficresvpl,"******\n");
         
           varpl=matrix(1,nlstate,(int) bage, (int) fage);
           oldm=oldms;savm=savms;
           varprevlim(fileres, varpl, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k,strstart);
           free_matrix(varpl,1,nlstate,(int) bage, (int)fage);
         /*}*/
       }
   
       fclose(ficresvpl);
   
       /*---------- End : free ----------------*/
       if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
       free_ma3x(probs,1,AGESUP,1,NCOVMAX, 1,NCOVMAX);
     }  /* mle==-3 arrives here for freeing */
    endfree:
       free_matrix(prlim,1,nlstate,1,nlstate); /*here or after loop ? */
       free_matrix(pmmij,1,nlstate+ndeath,1,nlstate+ndeath);
       free_matrix(oldms, 1,nlstate+ndeath,1,nlstate+ndeath);
       free_matrix(newms, 1,nlstate+ndeath,1,nlstate+ndeath);
       free_matrix(savms, 1,nlstate+ndeath,1,nlstate+ndeath);
       free_matrix(covar,0,NCOVMAX,1,n);
       free_matrix(matcov,1,npar,1,npar);
       /*free_vector(delti,1,npar);*/
       free_ma3x(delti3,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel); 
       free_matrix(agev,1,maxwav,1,imx);
       free_ma3x(param,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel);
   
       free_ivector(ncodemax,1,NCOVMAX);
       free_ivector(Tvar,1,NCOVMAX);
       free_ivector(Tprod,1,NCOVMAX);
       free_ivector(Tvaraff,1,NCOVMAX);
       free_ivector(Tage,1,NCOVMAX);
   
       free_imatrix(nbcode,0,NCOVMAX,0,NCOVMAX);
       free_imatrix(codtab,1,100,1,10);
     fflush(fichtm);
     fflush(ficgp);
     
   
     if((nberr >0) || (nbwarn>0)){
       printf("End of Imach with %d errors and/or %d warnings\n",nberr,nbwarn);
       fprintf(ficlog,"End of Imach with %d errors and/or warnings %d\n",nberr,nbwarn);
     }else{
       printf("End of Imach\n");
       fprintf(ficlog,"End of Imach\n");
     }
     printf("See log file on %s\n",filelog);
     /*  gettimeofday(&end_time, (struct timezone*)0);*/  /* after time */
     (void) gettimeofday(&end_time,&tzp);
     tm = *localtime(&end_time.tv_sec);
     tmg = *gmtime(&end_time.tv_sec);
     strcpy(strtend,asctime(&tm));
     printf("Local time at start %s\nLocal time at end   %s",strstart, strtend); 
     fprintf(ficlog,"Local time at start %s\nLocal time at end   %s\n",strstart, strtend); 
     printf("Total time used %s\n", asc_diff_time(end_time.tv_sec -start_time.tv_sec,tmpout));
   
     printf("Total time was %ld 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 %ld 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>\n</body></html>",strstart, strtend);
     fclose(fichtm);
     fprintf(fichtmcov,"<br>Local time at start %s<br>Local time at end   %s<br>\n</body></html>",strstart, strtend);
     fclose(fichtmcov);
     fclose(ficgp);
     fclose(ficlog);
     /*------ End -----------*/
   
   
      printf("Before Current directory %s!\n",pathcd);
      if(chdir(pathcd) != 0)
       printf("Can't move to directory %s!\n",path);
     if(getcwd(pathcd,MAXLINE) > 0)
       printf("Current directory %s!\n",pathcd);
     /*strcat(plotcmd,CHARSEPARATOR);*/
     sprintf(plotcmd,"gnuplot");
   #ifndef UNIX
     sprintf(plotcmd,"\"%sgnuplot.exe\"",pathimach);
   #endif
     if(!stat(plotcmd,&info)){
       printf("Error gnuplot program not found: %s\n",plotcmd);fflush(stdout);
       if(!stat(getenv("GNUPLOTBIN"),&info)){
         printf("Error gnuplot program not found: %s Environment GNUPLOTBIN not set.\n",plotcmd);fflush(stdout);
       }else
         strcpy(pplotcmd,plotcmd);
   #ifdef UNIX
       strcpy(plotcmd,GNUPLOTPROGRAM);
       if(!stat(plotcmd,&info)){
         printf("Error gnuplot program not found: %s\n",plotcmd);fflush(stdout);
       }else
         strcpy(pplotcmd,plotcmd);
   #endif
     }else
       strcpy(pplotcmd,plotcmd);
     
     sprintf(plotcmd,"%s %s",pplotcmd, optionfilegnuplot);
     printf("Starting graphs with: %s\n",plotcmd);fflush(stdout);
   
     if((outcmd=system(plotcmd)) != 0){
       printf("gnuplot command might not be in your path: %s, err=%d\n", plotcmd, outcmd);
       printf("\n Trying if gnuplot resides on the same directory that IMaCh\n");
       sprintf(plotcmd,"%sgnuplot %s", pathimach, optionfilegnuplot);
       if((outcmd=system(plotcmd)) != 0)
         printf("\n Still a problem with gnuplot command %s, err=%d\n", plotcmd, outcmd);
     }
     printf(" Successul, please wait...");
     while (z[0] != 'q') {
       /* chdir(path); */
       printf("\nType e to edit results with your browser, g to graph again and q for exit: ");
       scanf("%s",z);
   /*     if (z[0] == 'c') system("./imach"); */
       if (z[0] == 'e') {
   #ifdef OSX
         sprintf(pplotcmd, "open %s", optionfilehtm);
   #else
         sprintf(pplotcmd, "%s", optionfilehtm);
   #endif
         printf("Starting browser with: %s",pplotcmd);fflush(stdout);
         system(pplotcmd);
       }
       else if (z[0] == 'g') system(plotcmd);
       else if (z[0] == 'q') exit(0);
     }
     end:
     while (z[0] != 'q') {
       printf("\nType  q for exiting: ");
       scanf("%s",z);
     }
   }
   
   
   

Removed from v.1.4  
changed lines
  Added in v.1.154


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