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Diff for /imach/src/imach.c between versions 1.106 and 1.162

-version 1.106, 2006/01/19 13:24:36
+version 1.162, 2014/09/25 11:43:39
  Line 1
  /* $Id$
    $State$
    $Log$
+   Revision 1.162  2014/09/25 11:43:39  brouard
+   Summary: temporary backup 0.99!
+   Revision 1.1  2014/09/16 11:06:58  brouard
+   Summary: With some code (wrong) for nlopt
+   Author:
+   Revision 1.161  2014/09/15 20:41:41  brouard
+   Summary: Problem with macro SQR on Intel compiler
+   Revision 1.160  2014/09/02 09:24:05  brouard
+   *** empty log message ***
+   Revision 1.159  2014/09/01 10:34:10  brouard
+   Summary: WIN32
+   Author: Brouard
+   Revision 1.158  2014/08/27 17:11:51  brouard
+   *** empty log message ***
+   Revision 1.157  2014/08/27 16:26:55  brouard
+   Summary: Preparing windows Visual studio version
+   Author: Brouard
+   In order to compile on Visual studio, time.h is now correct and time_t
+   and tm struct should be used. difftime should be used but sometimes I
+   just make the differences in raw time format (time(&now).
+   Trying to suppress #ifdef LINUX
+   Add xdg-open for __linux in order to open default browser.
+   Revision 1.156  2014/08/25 20:10:10  brouard
+   *** empty log message ***
+   Revision 1.155  2014/08/25 18:32:34  brouard
+   Summary: New compile, minor changes
+   Author: Brouard
+   Revision 1.154  2014/06/20 17:32:08  brouard
+   Summary: Outputs now all graphs of convergence to period prevalence
+   Revision 1.153  2014/06/20 16:45:46  brouard
+   Summary: If 3 live state, convergence to period prevalence on same graph
+   Author: Brouard
+   Revision 1.152  2014/06/18 17:54:09  brouard
+   Summary: open browser, use gnuplot on same dir than imach if not found in the path
+   Revision 1.151  2014/06/18 16:43:30  brouard
+   *** empty log message ***
+   Revision 1.150  2014/06/18 16:42:35  brouard
+   Summary: If gnuplot is not in the path try on same directory than imach binary (OSX)
+   Author: brouard
+   Revision 1.149  2014/06/18 15:51:14  brouard
+   Summary: Some fixes in parameter files errors
+   Author: Nicolas Brouard
+   Revision 1.148  2014/06/17 17:38:48  brouard
+   Summary: Nothing new
+   Author: Brouard
+   Just a new packaging for OS/X version 0.98nS
+   Revision 1.147  2014/06/16 10:33:11  brouard
+   *** empty log message ***
+   Revision 1.146  2014/06/16 10:20:28  brouard
+   Summary: Merge
+   Author: Brouard
+   Merge, before building revised version.
+   Revision 1.145  2014/06/10 21:23:15  brouard
+   Summary: Debugging with valgrind
+   Author: Nicolas Brouard
+   Lot of changes in order to output the results with some covariates
+   After the Edimburgh REVES conference 2014, it seems mandatory to
+   improve the code.
+   No more memory valgrind error but a lot has to be done in order to
+   continue the work of splitting the code into subroutines.
+   Also, decodemodel has been improved. Tricode is still not
+   optimal. nbcode should be improved. Documentation has been added in
+   the source code.
+   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
+   * 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.
+   Revision 1.142  2014/01/26 03:57:36  brouard
+   Summary: gnuplot changed plot w l 1 has to be changed to plot w l lt 2
+   * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
+   Revision 1.141  2014/01/26 02:42:01  brouard
+   * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
+   Revision 1.140  2011/09/02 10:37:54  brouard
+   Summary: times.h is ok with mingw32 now.
+   Revision 1.139  2010/06/14 07:50:17  brouard
+   After the theft of my laptop, I probably lost some lines of codes which were not uploaded to the CVS tree.
+   I remember having already fixed agemin agemax which are pointers now but not cvs saved.
+   Revision 1.138  2010/04/30 18:19:40  brouard
+   *** empty log message ***
+   Revision 1.137  2010/04/29 18:11:38  brouard
+   (Module): Checking covariates for more complex models
+   than V1+V2. A lot of change to be done. Unstable.
+   Revision 1.136  2010/04/26 20:30:53  brouard
+   (Module): merging some libgsl code. Fixing computation
+   of likelione (using inter/intrapolation if mle = 0) in order to
+   get same likelihood as if mle=1.
+   Some cleaning of code and comments added.
+   Revision 1.135  2009/10/29 15:33:14  brouard
+   (Module): Now imach stops if date of birth, at least year of birth, is not given. Some cleaning of the code.
+   Revision 1.134  2009/10/29 13:18:53  brouard
+   (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
+   Revision 1.132  2009/07/06 08:22:05  brouard
+   Many tings
+   Revision 1.131  2009/06/20 16:22:47  brouard
+   Some dimensions resccaled
+   Revision 1.130  2009/05/26 06:44:34  brouard
+   (Module): Max Covariate is now set to 20 instead of 8. A
+   lot of cleaning with variables initialized to 0. Trying to make
+   V2+V3*age+V1+V4 strb=V3*age+V1+V4 working better.
+   Revision 1.129  2007/08/31 13:49:27  lievre
+   Modification of the way of exiting when the covariate is not binary in order to see on the window the error message before exiting
+   Revision 1.128  2006/06/30 13:02:05  brouard
+   (Module): Clarifications on computing e.j
+   Revision 1.127  2006/04/28 18:11:50  brouard
+   (Module): Yes the sum of survivors was wrong since
+   imach-114 because nhstepm was no more computed in the age
+   loop. Now we define nhstepma in the age loop.
+   (Module): In order to speed up (in case of numerous covariates) we
+   compute health expectancies (without variances) in a first step
+   and then all the health expectancies with variances or standard
+   deviation (needs data from the Hessian matrices) which slows the
+   computation.
+   In the future we should be able to stop the program is only health
+   expectancies and graph are needed without standard deviations.
+   Revision 1.126  2006/04/28 17:23:28  brouard
+   (Module): Yes the sum of survivors was wrong since
+   imach-114 because nhstepm was no more computed in the age
+   loop. Now we define nhstepma in the age loop.
+   Version 0.98h
+   Revision 1.125  2006/04/04 15:20:31  lievre
+   Errors in calculation of health expectancies. Age was not initialized.
+   Forecasting file added.
+   Revision 1.124  2006/03/22 17:13:53  lievre
+   Parameters are printed with %lf instead of %f (more numbers after the comma).
+   The log-likelihood is printed in the log file
+   Revision 1.123  2006/03/20 10:52:43  brouard
+   * imach.c (Module): <title> changed, corresponds to .htm file
+   name. <head> headers where missing.
+   * imach.c (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
+.
+   Version 0.98g
+   Revision 1.122  2006/03/20 09:45:41  brouard
+   (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
+.
+   Version 0.98g
+   Revision 1.121  2006/03/16 17:45:01  lievre
+   * imach.c (Module): Comments concerning covariates added
+   * imach.c (Module): refinements in the computation of lli if
+   status=-2 in order to have more reliable computation if stepm is
+   not 1 month. Version 0.98f
+   Revision 1.120  2006/03/16 15:10:38  lievre
+   (Module): refinements in the computation of lli if
+   status=-2 in order to have more reliable computation if stepm is
+   not 1 month. Version 0.98f
+   Revision 1.119  2006/03/15 17:42:26  brouard
+   (Module): Bug if status = -2, the loglikelihood was
+   computed as likelihood omitting the logarithm. Version O.98e
+   Revision 1.118  2006/03/14 18:20:07  brouard
+   (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
+   (Module): Version 0.98d
+   Revision 1.117  2006/03/14 17:16:22  brouard
+   (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
+   (Module): Version 0.98d
+   Revision 1.116  2006/03/06 10:29:27  brouard
+   (Module): Variance-covariance wrong links and
+   varian-covariance of ej. is needed (Saito).
+   Revision 1.115  2006/02/27 12:17:45  brouard
+   (Module): One freematrix added in mlikeli! 0.98c
+   Revision 1.114  2006/02/26 12:57:58  brouard
+   (Module): Some improvements in processing parameter
+   filename with strsep.
+   Revision 1.113  2006/02/24 14:20:24  brouard
+   (Module): Memory leaks checks with valgrind and:
+   datafile was not closed, some imatrix were not freed and on matrix
+   allocation too.
+   Revision 1.112  2006/01/30 09:55:26  brouard
+   (Module): Back to gnuplot.exe instead of wgnuplot.exe
+   Revision 1.111  2006/01/25 20:38:18  brouard
+   (Module): Lots of cleaning and bugs added (Gompertz)
+   (Module): Comments can be added in data file. Missing date values
+   can be a simple dot '.'.
+   Revision 1.110  2006/01/25 00:51:50  brouard
+   (Module): Lots of cleaning and bugs added (Gompertz)
+   Revision 1.109  2006/01/24 19:37:15  brouard
+   (Module): Comments (lines starting with a #) are allowed in data.
+   Revision 1.108  2006/01/19 18:05:42  lievre
+   Gnuplot problem appeared...
+   To be fixed
+   Revision 1.107  2006/01/19 16:20:37  brouard
+   Test existence of gnuplot in imach path
    Revision 1.106  2006/01/19 13:24:36  brouard
    Some cleaning and links added in html output
- Line 42
+ Line 301
    The same imach parameter file can be used but the option for mle should be -3.
-   Agn�s, who wrote this part of the code, tried to keep most of the
+   Agnès, who wrote this part of the code, tried to keep most of the
    former routines in order to include the new code within the former code.
    The output is very simple: only an estimate of the intercept and of
- Line 173
+ Line 432
    hPijx.
    Also this programme outputs the covariance matrix of the parameters but also
-   of the life expectancies. It also computes the stable prevalence.
+   of the life expectancies. It also computes the period (stable) prevalence.
-   Authors: Nicolas Brouard (brouard@ined.fr) and Agn�s Li�vre (lievre@ined.fr).
+   Authors: Nicolas Brouard (brouard@ined.fr) and Agnès Lièvre (lievre@ined.fr).
-            Institut national d'�tudes d�mographiques, Paris.
+            Institut national d'études démographiques, Paris.
    This software have been partly granted by Euro-REVES, a concerted action
    from the European Union.
    It is copyrighted identically to a GNU software product, ie programme and
- Line 202
+ Line 461
        begin-prev-date,...
    open gnuplot file
    open html file
-   stable prevalence
+   period (stable) prevalence      | pl_nom    1-1 2-2 etc by covariate
-    for age prevalim()
+    for age prevalim()             | #****** V1=0  V2=1  V3=1  V4=0 ******
-   h Pij x
+                                   | 65 1 0 2 1 3 1 4 0  0.96326 0.03674
-   variance of p varprob
+     freexexit2 possible for memory heap.
+   h Pij x                         | pij_nom  ficrestpij
+    # Cov Agex agex+h hpijx with i,j= 1-1 1-2     1-3     2-1     2-2     2-3
+ 85   85    1.00000             0.00000 0.00000 0.00000 1.00000 0.00000
+ 85   86    0.68299             0.22291 0.09410 0.71093 0.00000 0.28907
+ 65   99    0.00364             0.00322 0.99314 0.00350 0.00310 0.99340
+ 65  100    0.00214             0.00204 0.99581 0.00206 0.00196 0.99597
+   variance of p one-step probabilities varprob  | prob_nom   ficresprob #One-step probabilities and stand. devi in ()
+    Standard deviation of one-step probabilities | probcor_nom   ficresprobcor #One-step probabilities and correlation matrix
+    Matrix of variance covariance of one-step probabilities |  probcov_nom ficresprobcov #One-step probabilities and covariance matrix
    forecasting if prevfcast==1 prevforecast call prevalence()
    health expectancies
    Variance-covariance of DFLE
- Line 214
+ Line 485
    varevsij()
    if popbased==1 varevsij(,popbased)
    total life expectancies
-   Variance of stable prevalence
+   Variance of period (stable) prevalence
   end
  */
- Line 225
+ Line 496
  #include <stdio.h>
  #include <stdlib.h>
  #include <string.h>
+ #ifdef _WIN32
+ #include <io.h>
+ #else
  #include <unistd.h>
+ #endif
+ #include <limits.h>
+ #include <sys/types.h>
+ #include <sys/stat.h>
+ #include <errno.h>
+ /* extern int errno; */
+ /* #ifdef LINUX */
+ /* #include <time.h> */
+ /* #include "timeval.h" */
+ /* #else */
  /* #include <sys/time.h> */
+ /* #endif */
  #include <time.h>
- #include "timeval.h"
+ #ifdef GSL
+ #include <gsl/gsl_errno.h>
+ #include <gsl/gsl_multimin.h>
+ #endif
+ #ifdef NLOPT
+ #include <nlopt.h>
+ typedef struct {
+   double (* function)(double [] );
+ } myfunc_data ;
+ #endif
  /* #include <libintl.h> */
  /* #define _(String) gettext (String) */
- #define MAXLINE 256
+ #define MAXLINE 1024 /* Was 256. Overflow with 312 with 2 states and 4 covariates. Should be ok */
  #define GNUPLOTPROGRAM "gnuplot"
  /*#define GNUPLOTPROGRAM "..\\gp37mgw\\wgnuplot"*/
  #define FILENAMELENGTH 132
- /*#define DEBUG*/
- /*#define windows*/
  #define GLOCK_ERROR_NOPATH              -1      /* empty path */
  #define GLOCK_ERROR_GETCWD              -2      /* cannot get cwd */
- #define MAXPARM 30 /* Maximum number of parameters for the optimization */
+ #define MAXPARM 128 /**< Maximum number of parameters for the optimization */
- #define NPARMAX 64 /* (nlstate+ndeath-1)*nlstate*ncovmodel */
+ #define NPARMAX 64 /**< (nlstate+ndeath-1)*nlstate*ncovmodel */
  #define NINTERVMAX 8
- #define NLSTATEMAX 8 /* Maximum number of live states (for func) */
+ #define NLSTATEMAX 8 /**< Maximum number of live states (for func) */
- #define NDEATHMAX 8 /* Maximum number of dead states (for func) */
+ #define NDEATHMAX 8 /**< Maximum number of dead states (for func) */
- #define NCOVMAX 8 /* Maximum number of covariates */
+ #define NCOVMAX 20 /**< Maximum number of covariates, including generated covariates V1*V2 */
+ #define codtabm(h,k)  1 & (h-1) >> (k-1) ;
  #define MAXN 20000
- #define YEARM 12. /* Number of months per year */
+ #define YEARM 12. /**< Number of months per year */
  #define AGESUP 130
  #define AGEBASE 40
- #define AGEGOMP 10. /* Minimal age for Gompertz adjustment */
+ #define AGEGOMP 10. /**< Minimal age for Gompertz adjustment */
- #ifdef UNIX
+ #ifdef _WIN32
- #define DIRSEPARATOR '/'
- #define ODIRSEPARATOR '\\'
- #else
  #define DIRSEPARATOR '\\'
+ #define CHARSEPARATOR "\\"
  #define ODIRSEPARATOR '/'
+ #else
+ #define DIRSEPARATOR '/'
+ #define CHARSEPARATOR "/"
+ #define ODIRSEPARATOR '\\'
  #endif
  /* $Id$ */
  /* $State$ */
- char version[]="Imach version 0.98a, January 2006, INED-EUROREVES ";
+ char version[]="Imach version 0.99, September 2014,INED-EUROREVES-Institut de longevite-Japan Society for the Promotion of Science (Grant-in-Aid for Scientific Research 25293121)";
  char fullversion[]="$Revision$ $Date$";
- int erreur, nberr=0, nbwarn=0; /* Error number, number of errors number of warnings  */
+ char strstart[80];
- int nvar;
+ char optionfilext[10], optionfilefiname[FILENAMELENGTH];
- int cptcovn=0, cptcovage=0, cptcoveff=0,cptcov;
+ int erreur=0, nberr=0, nbwarn=0; /* Error number, number of errors number of warnings  */
+ int nvar=0, nforce=0; /* Number of variables, number of forces */
+ /* Number of covariates model=V2+V1+ V3*age+V2*V4 */
+ int cptcovn=0; /**< cptcovn number of covariates added in the model (excepting constant and age and age*product) */
+ int cptcovt=0; /**< cptcovt number of covariates added in the model (excepting constant and age) */
+ int cptcovs=0; /**< cptcovs number of simple covariates V2+V1 =2 */
+ int cptcovage=0; /**< Number of covariates with age: V3*age only =1 */
+ int cptcovprodnoage=0; /**< Number of covariate products without age */
+ int cptcoveff=0; /* Total number of covariates to vary for printing results */
+ int cptcov=0; /* Working variable */
  int npar=NPARMAX;
  int nlstate=2; /* Number of live states */
  int ndeath=1; /* Number of dead states */
- int ncovmodel, ncovcol;     /* Total number of covariables including constant a12*1 +b12*x ncovmodel=2 */
+ int ncovmodel=0, ncovcol=0;     /* Total number of covariables including constant a12*1 +b12*x ncovmodel=2 */
  int popbased=0;
  int *wav; /* Number of waves for this individuual 0 is possible */
- int maxwav; /* Maxim number of waves */
+ int maxwav=0; /* Maxim number of waves */
- int jmin, jmax; /* min, max spacing between 2 waves */
+ int jmin=0, jmax=0; /* min, max spacing between 2 waves */
- int gipmx, gsw; /* Global variables on the number of contributions
+ int ijmin=0, ijmax=0; /* Individuals having jmin and jmax */
+ int gipmx=0, gsw=0; /* Global variables on the number of contributions
                     to the likelihood and the sum of weights (done by funcone)*/
- int mle, weightopt;
+ int mle=1, weightopt=0;
  int **mw; /* mw[mi][i] is number of the mi wave for this individual */
  int **dh; /* dh[mi][i] is number of steps between mi,mi+1 for this individual */
  int **bh; /* bh[mi][i] is the bias (+ or -) for this individual if the delay between
             * wave mi and wave mi+1 is not an exact multiple of stepm. */
- double jmean; /* Mean space between 2 waves */
+ int countcallfunc=0;  /* Count the number of calls to func */
+ double jmean=1; /* Mean space between 2 waves */
+ double **matprod2(); /* test */
  double **oldm, **newm, **savm; /* Working pointers to matrices */
  double **oldms, **newms, **savms; /* Fixed working pointers to matrices */
- FILE *fic,*ficpar, *ficparo,*ficres,  *ficrespl, *ficrespij, *ficrest,*ficresf,*ficrespop;
+ /*FILE *fic ; */ /* Used in readdata only */
+ FILE *ficpar, *ficparo,*ficres, *ficresp, *ficrespl, *ficrespij, *ficrest,*ficresf,*ficrespop;
  FILE *ficlog, *ficrespow;
- int globpr; /* Global variable for printing or not */
+ int globpr=0; /* Global variable for printing or not */
  double fretone; /* Only one call to likelihood */
- long ipmx; /* Number of contributions */
+ long ipmx=0; /* Number of contributions */
  double sw; /* Sum of weights */
  char filerespow[FILENAMELENGTH];
  char fileresilk[FILENAMELENGTH]; /* File of individual contributions to the likelihood */
- Line 304  FILE *ficresprobmorprev;
+ Line 619  FILE *ficresprobmorprev;
  FILE *fichtm, *fichtmcov; /* Html File */
  FILE *ficreseij;
  char filerese[FILENAMELENGTH];
+ FILE *ficresstdeij;
+ char fileresstde[FILENAMELENGTH];
+ FILE *ficrescveij;
+ char filerescve[FILENAMELENGTH];
  FILE  *ficresvij;
  char fileresv[FILENAMELENGTH];
  FILE  *ficresvpl;
  char fileresvpl[FILENAMELENGTH];
  char title[MAXLINE];
  char optionfile[FILENAMELENGTH], datafile[FILENAMELENGTH],  filerespl[FILENAMELENGTH];
- char optionfilext[10], optionfilefiname[FILENAMELENGTH], plotcmd[FILENAMELENGTH];
+ char plotcmd[FILENAMELENGTH], pplotcmd[FILENAMELENGTH];
  char tmpout[FILENAMELENGTH],  tmpout2[FILENAMELENGTH];
  char command[FILENAMELENGTH];
  int  outcmd=0;
- Line 324  char popfile[FILENAMELENGTH];
+ Line 643  char popfile[FILENAMELENGTH];
  char optionfilegnuplot[FILENAMELENGTH], optionfilehtm[FILENAMELENGTH], optionfilehtmcov[FILENAMELENGTH] ;
- struct timeval start_time, end_time, curr_time, last_time, forecast_time;
+ /* struct timeval start_time, end_time, curr_time, last_time, forecast_time; */
- struct timezone tzp;
+ /* struct timezone tzp; */
- extern int gettimeofday();
+ /* extern int gettimeofday(); */
- struct tm tmg, tm, tmf, *gmtime(), *localtime();
+ struct tm tml, *gmtime(), *localtime();
- long time_value;
- extern long time();
+ extern time_t time();
+ struct tm start_time, end_time, curr_time, last_time, forecast_time;
+ time_t  rstart_time, rend_time, rcurr_time, rlast_time, rforecast_time; /* raw time */
+ struct tm tm;
  char strcurr[80], strfor[80];
+ char *endptr;
+ long lval;
+ double dval;
  #define NR_END 1
  #define FREE_ARG char*
  #define FTOL 1.0e-10
- Line 378  double dateintmean=0;
+ Line 706  double dateintmean=0;
  double *weight;
  int **s; /* Status */
- double *agedc, **covar, idx;
+ double *agedc;
- int **nbcode, *Tcode, *Tvar, **codtab, **Tvard, *Tprod, cptcovprod, *Tvaraff;
+ double  **covar; /**< covar[j,i], value of jth covariate for individual i,
+                   * covar=matrix(0,NCOVMAX,1,n);
+                   * cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2]; */
+ double  idx;
+ int **nbcode, *Tvar; /**< model=V2 => Tvar[1]= 2 */
+ int *Ndum; /** Freq of modality (tricode */
+ int **codtab; /**< codtab=imatrix(1,100,1,10); */
+ int **Tvard, *Tprod, cptcovprod, *Tvaraff;
  double *lsurv, *lpop, *tpop;
- double ftol=FTOL; /* Tolerance for computing Max Likelihood */
+ double ftol=FTOL; /**< Tolerance for computing Max Likelihood */
- double ftolhess; /* Tolerance for computing hessian */
+ double ftolhess; /**< Tolerance for computing hessian */
  /**************** split *************************/
  static  int split( char *path, char *dirc, char *name, char *ext, char *finame )
  {
-   /* From a file name with full path (either Unix or Windows) we extract the directory (dirc)
+   /* From a file name with (full) path (either Unix or Windows) we extract the directory (dirc)
       the name of the file (name), its extension only (ext) and its first part of the name (finame)
    */
    char  *ss;                            /* pointer */
- Line 397  static int split( char *path, char *dirc
+ Line 732  static int split( char *path, char *dirc
    l1 = strlen(path );                   /* length of path */
    if ( l1 == 0 ) return( GLOCK_ERROR_NOPATH );
    ss= strrchr( path, DIRSEPARATOR );            /* find last / */
-   if ( ss == NULL ) {                   /* no directory, so use current */
+   if ( ss == NULL ) {                   /* no directory, so determine current directory */
+     strcpy( name, path );               /* we got the fullname name because no directory */
      /*if(strrchr(path, ODIRSEPARATOR )==NULL)
        printf("Warning you should use %s as a separator\n",DIRSEPARATOR);*/
      /* get current working directory */
- Line 405  static int split( char *path, char *dirc
+ Line 741  static int split( char *path, char *dirc
      if ( getcwd( dirc, FILENAME_MAX ) == NULL ) {
        return( GLOCK_ERROR_GETCWD );
      }
-     strcpy( name, path );               /* we've got it */
+     /* got dirc from getcwd*/
+     printf(" DIRC = %s \n",dirc);
    } else {                              /* strip direcotry from path */
      ss++;                               /* after this, the filename */
      l2 = strlen( ss );                  /* length of filename */
- Line 413  static int split( char *path, char *dirc
+ Line 750  static int split( char *path, char *dirc
      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);
    }
+   /* We add a separator at the end of dirc if not exists */
    l1 = strlen( dirc );                  /* length of directory */
-   /*#ifdef windows
+   if( dirc[l1-1] != DIRSEPARATOR ){
-   if ( dirc[l1-1] != '\\' ) { dirc[l1] = '\\'; dirc[l1+1] = 0; }
+     dirc[l1] =  DIRSEPARATOR;
- #else
+     dirc[l1+1] = 0;
-   if ( dirc[l1-1] != '/' ) { dirc[l1] = '/'; dirc[l1+1] = 0; }
+     printf(" DIRC3 = %s \n",dirc);
- #endif
+   }
-   */
    ss = strrchr( name, '.' );            /* find last / */
    if (ss >0){
      ss++;
- Line 430  static int split( char *path, char *dirc
+ Line 768  static int split( char *path, char *dirc
      strncpy( finame, name, l1-l2);
      finame[l1-l2]= 0;
    }
    return( 0 );                          /* we're done */
  }
- Line 448  void replace_back_to_slash(char *s, char
+ Line 787  void replace_back_to_slash(char *s, char
    }
  }
+ char *trimbb(char *out, char *in)
+ { /* Trim multiple blanks in line but keeps first blanks if line starts with blanks */
+   char *s;
+   s=out;
+   while (*in != '\0'){
+     while( *in == ' ' && *(in+1) == ' '){ /* && *(in+1) != '\0'){*/
+       in++;
+     }
+     *out++ = *in++;
+   }
+   *out='\0';
+   return s;
+ }
+ char *cutl(char *blocc, char *alocc, char *in, char occ)
+ {
+   /* cuts string in into blocc and alocc where blocc ends before first occurence of char 'occ'
+      and alocc starts after first 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 blocc
+   */
+   char *s, *t;
+   t=in;s=in;
+   while ((*in != occ) && (*in != '\0')){
+     *alocc++ = *in++;
+   }
+   if( *in == occ){
+     *(alocc)='\0';
+     s=++in;
+   }
+   if (s == t) {/* occ not found */
+     *(alocc-(in-s))='\0';
+     in=s;
+   }
+   while ( *in != '\0'){
+     *blocc++ = *in++;
+   }
+   *blocc='\0';
+   return t;
+ }
+ char *cutv(char *blocc, char *alocc, char *in, char occ)
+ {
+   /* 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
+   */
+   char *s, *t;
+   t=in;s=in;
+   while (*in != '\0'){
+     while( *in == occ){
+       *blocc++ = *in++;
+       s=in;
+     }
+     *blocc++ = *in++;
+   }
+   if (s == t) /* occ not found */
+     *(blocc-(in-s))='\0';
+   else
+     *(blocc-(in-s)-1)='\0';
+   in=s;
+   while ( *in != '\0'){
+     *alocc++ = *in++;
+   }
+   *alocc='\0';
+   return s;
+ }
  int nbocc(char *s, char occ)
  {
    int i,j=0;
- Line 460  int nbocc(char *s, char occ)
+ Line 870  int nbocc(char *s, char occ)
    return j;
  }
- void cutv(char *u,char *v, char*t, char occ)
+ /* void cutv(char *u,char *v, char*t, char occ) */
- {
+ /* { */
-   /* cuts string t into u and v where u ends before first occurence of char 'occ'
+ /*   /\* cuts string t into u and v where u ends before last occurence of char 'occ'  */
-      and v starts after first occurence of char 'occ' : ex cutv(u,v,"abcdef2ghi2j",'2')
+ /*      and v starts after last occurence of char 'occ' : ex cutv(u,v,"abcdef2ghi2j",'2') */
-      gives u="abcedf" and v="ghi2j" */
+ /*      gives u="abcdef2ghi" and v="j" *\/ */
-   int i,lg,j,p=0;
+ /*   int i,lg,j,p=0; */
-   i=0;
+ /*   i=0; */
-   for(j=0; j<=strlen(t)-1; j++) {
+ /*   lg=strlen(t); */
-     if((t[j]!= occ) && (t[j+1]== occ)) p=j+1;
+ /*   for(j=0; j<=lg-1; j++) { */
-   }
+ /*     if((t[j]!= occ) && (t[j+1]== occ)) p=j+1; */
+ /*   } */
-   lg=strlen(t);
+ /*   for(j=0; j<p; j++) { */
-   for(j=0; j<p; j++) {
+ /*     (u[j] = t[j]); */
-     (u[j] = t[j]);
+ /*   } */
-   }
+ /*      u[p]='\0'; */
-      u[p]='\0';
-    for(j=0; j<= lg; j++) {
+ /*    for(j=0; j<= lg; j++) { */
-     if (j>=(p+1))(v[j-p-1] = t[j]);
+ /*     if (j>=(p+1))(v[j-p-1] = t[j]); */
-   }
+ /*   } */
+ /* } */
+ #ifdef _WIN32
+ char * strsep(char **pp, const char *delim)
+ {
+   char *p, *q;
+   if ((p = *pp) == NULL)
+     return 0;
+   if ((q = strpbrk (p, delim)) != NULL)
+   {
+     *pp = q + 1;
+     *q = '\0';
+   }
+   else
+     *pp = 0;
+   return p;
  }
+ #endif
  /********************** nrerror ********************/
- Line 589  double **matrix(long nrl, long nrh, long
+ Line 1017  double **matrix(long nrl, long nrh, long
    for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
    return m;
-   /* print *(*(m+1)+70) or print m[1][70]; print m+1 or print &(m[1])
+   /* print *(*(m+1)+70) or print m[1][70]; print m+1 or print &(m[1]) or &(m[1][0])
+ m[i] = address of ith row of the table. &(m[i]) is its value which is another adress
+ that of m[i][0]. In order to get the value p m[i][0] but it is unitialized.
     */
  }
- Line 679  char *subdirf3(char fileres[], char *pre
+ Line 1109  char *subdirf3(char fileres[], char *pre
    return tmpout;
  }
+ char *asc_diff_time(long time_sec, char ascdiff[])
+ {
+   long sec_left, days, hours, minutes;
+   days = (time_sec) / (60*60*24);
+   sec_left = (time_sec) % (60*60*24);
+   hours = (sec_left) / (60*60) ;
+   sec_left = (sec_left) %(60*60);
+   minutes = (sec_left) /60;
+   sec_left = (sec_left) % (60);
+   sprintf(ascdiff,"%ld day(s) %ld hour(s) %ld minute(s) %ld second(s)",days, hours, minutes, sec_left);
+   return ascdiff;
+ }
  /***************** f1dim *************************/
  extern int ncom;
  extern double *pcom,*xicom;
- Line 702  double brent(double ax, double bx, doubl
+ Line 1145  double brent(double ax, double bx, doubl
  {
    int iter;
    double a,b,d,etemp;
-   double fu,fv,fw,fx;
+   double fu=0,fv,fw,fx;
    double ftemp;
    double p,q,r,tol1,tol2,u,v,w,x,xm;
    double e=0.0;
- Line 717  double brent(double ax, double bx, doubl
+ Line 1160  double brent(double ax, double bx, doubl
      /*          if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret)))*/
      printf(".");fflush(stdout);
      fprintf(ficlog,".");fflush(ficlog);
- #ifdef DEBUG
+ #ifdef DEBUGBRENT
      printf("br %d,x=%.10e xm=%.10e b=%.10e a=%.10e tol=%.10e tol1=%.10e tol2=%.10e x-xm=%.10e fx=%.12e fu=%.12e,fw=%.12e,ftemp=%.12e,ftol=%.12e\n",iter,x,xm,b,a,tol,tol1,tol2,(x-xm),fx,fu,fw,ftemp,ftol);
      fprintf(ficlog,"br %d,x=%.10e xm=%.10e b=%.10e a=%.10e tol=%.10e tol1=%.10e tol2=%.10e x-xm=%.10e fx=%.12e fu=%.12e,fw=%.12e,ftemp=%.12e,ftol=%.12e\n",iter,x,xm,b,a,tol,tol1,tol2,(x-xm),fx,fu,fw,ftemp,ftol);
      /*          if ((fabs(x-xm) <= (tol2-0.5*(b-a)))||(2.0*fabs(fu-ftemp) <= ftol*1.e-2*(fabs(fu)+fabs(ftemp)))) { */
- Line 787  void mnbrak(double *ax, double *bx, doub
+ Line 1230  void mnbrak(double *ax, double *bx, doub
        }
    *cx=(*bx)+GOLD*(*bx-*ax);
    *fc=(*func)(*cx);
-   while (*fb > *fc) {
+   while (*fb > *fc) { /* Declining fa, fb, fc */
      r=(*bx-*ax)*(*fb-*fc);
      q=(*bx-*cx)*(*fb-*fa);
      u=(*bx)-((*bx-*cx)*q-(*bx-*ax)*r)/
-       (2.0*SIGN(FMAX(fabs(q-r),TINY),q-r));
+       (2.0*SIGN(FMAX(fabs(q-r),TINY),q-r)); /* Minimum abscisse of a parabolic estimated from (a,fa), (b,fb) and (c,fc). */
-     ulim=(*bx)+GLIMIT*(*cx-*bx);
+     ulim=(*bx)+GLIMIT*(*cx-*bx); /* Maximum abscisse where function can be evaluated */
-     if ((*bx-u)*(u-*cx) > 0.0) {
+     if ((*bx-u)*(u-*cx) > 0.0) { /* if u between b and c */
        fu=(*func)(u);
-     } else if ((*cx-u)*(u-ulim) > 0.0) {
+     } else if ((*cx-u)*(u-ulim) > 0.0) { /* u is after c but before ulim */
        fu=(*func)(u);
        if (fu < *fc) {
          SHFT(*bx,*cx,u,*cx+GOLD*(*cx-*bx))
            SHFT(*fb,*fc,fu,(*func)(u))
            }
-     } else if ((u-ulim)*(ulim-*cx) >= 0.0) {
+     } else if ((u-ulim)*(ulim-*cx) >= 0.0) { /* u outside ulim (verifying that ulim is beyond c) */
        u=ulim;
        fu=(*func)(u);
      } else {
- Line 814  void mnbrak(double *ax, double *bx, doub
+ Line 1257  void mnbrak(double *ax, double *bx, doub
  }
  /*************** linmin ************************/
+ /* Given an n -dimensional point p[1..n] and an n -dimensional direction xi[1..n] , moves and
+ resets p to where the function func(p) takes on a minimum along the direction xi from p ,
+ and replaces xi by the actual vector displacement that p was moved. Also returns as fret
+ the value of func at the returned location p . This is actually all accomplished by calling the
+ routines mnbrak and brent .*/
  int ncom;
  double *pcom,*xicom;
  double (*nrfunc)(double []);
- Line 840  void linmin(double p[], double xi[], int
+ Line 1287  void linmin(double p[], double xi[], int
    }
    ax=0.0;
    xx=1.0;
-   mnbrak(&ax,&xx,&bx,&fa,&fx,&fb,f1dim);
+   mnbrak(&ax,&xx,&bx,&fa,&fx,&fb,f1dim); /* Find a bracket a,x,b in direction n=xi ie xicom */
-   *fret=brent(ax,xx,bx,f1dim,TOL,&xmin);
+   *fret=brent(ax,xx,bx,f1dim,TOL,&xmin); /* Find a minimum P+lambda n in that direction (lambdamin), with TOL between abscisses */
  #ifdef DEBUG
    printf("retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);
    fprintf(ficlog,"retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);
- Line 854  void linmin(double p[], double xi[], int
+ Line 1301  void linmin(double p[], double xi[], int
    free_vector(pcom,1,n);
  }
- char *asc_diff_time(long time_sec, char ascdiff[])
- {
-   long sec_left, days, hours, minutes;
-   days = (time_sec) / (60*60*24);
-   sec_left = (time_sec) % (60*60*24);
-   hours = (sec_left) / (60*60) ;
-   sec_left = (sec_left) %(60*60);
-   minutes = (sec_left) /60;
-   sec_left = (sec_left) % (60);
-   sprintf(ascdiff,"%d day(s) %d hour(s) %d minute(s) %d second(s)",days, hours, minutes, sec_left);
-   return ascdiff;
- }
  /*************** powell ************************/
+ /*
+ Minimization of a function func of n variables. Input consists of an initial starting point
+ p[1..n] ; an initial matrix xi[1..n][1..n] , whose columns contain the initial set of di-
+ rections (usually the n unit vectors); and ftol , the fractional tolerance in the function value
+ such that failure to decrease by more than this amount on one iteration signals doneness. On
+ output, p is set to the best point found, xi is the then-current direction set, fret is the returned
+ function value at p , and iter is the number of iterations taken. The routine linmin is used.
+  */
  void powell(double p[], double **xi, int n, double ftol, int *iter, double *fret,
              double (*func)(double []))
  {
- Line 885  void powell(double p[], double **xi, int
+ Line 1328  void powell(double p[], double **xi, int
    xits=vector(1,n);
    *fret=(*func)(p);
    for (j=1;j<=n;j++) pt[j]=p[j];
+     rcurr_time = time(NULL);
    for (*iter=1;;++(*iter)) {
      fp=(*fret);
      ibig=0;
      del=0.0;
-     last_time=curr_time;
+     rlast_time=rcurr_time;
-     (void) gettimeofday(&curr_time,&tzp);
+     /* (void) gettimeofday(&curr_time,&tzp); */
-     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);
+     rcurr_time = time(NULL);
-     /*    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);
+     curr_time = *localtime(&rcurr_time);
-     fprintf(ficrespow,"%d %.12f %ld",*iter,*fret,curr_time.tv_sec-start_time.tv_sec);
+     printf("\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret, rcurr_time-rlast_time, rcurr_time-rstart_time);fflush(stdout);
-     */
+     fprintf(ficlog,"\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret,rcurr_time-rlast_time, rcurr_time-rstart_time); fflush(ficlog);
+ /*     fprintf(ficrespow,"%d %.12f %ld",*iter,*fret,curr_time.tm_sec-start_time.tm_sec); */
     for (i=1;i<=n;i++) {
        printf(" %d %.12f",i, p[i]);
        fprintf(ficlog," %d %.12lf",i, p[i]);
- Line 904  void powell(double p[], double **xi, int
+ Line 1349  void powell(double p[], double **xi, int
      fprintf(ficlog,"\n");
      fprintf(ficrespow,"\n");fflush(ficrespow);
      if(*iter <=3){
-       tm = *localtime(&curr_time.tv_sec);
+       tml = *localtime(&rcurr_time);
-       strcpy(strcurr,asctime(&tm));
+       strcpy(strcurr,asctime(&tml));
- /*       asctime_r(&tm,strcurr); */
+       rforecast_time=rcurr_time;
-       forecast_time=curr_time;
        itmp = strlen(strcurr);
        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);
+       printf("\nConsidering the time needed for the last iteration #%d: %ld seconds,\n",*iter,rcurr_time-rlast_time);
-       fprintf(ficlog,"\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,rcurr_time-rlast_time);
        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);
+         rforecast_time=rcurr_time+(niterf-*iter)*(rcurr_time-rlast_time);
-         tmf = *localtime(&forecast_time.tv_sec);
+         forecast_time = *localtime(&rforecast_time);
- /*      asctime_r(&tmf,strfor); */
+         strcpy(strfor,asctime(&forecast_time));
-         strcpy(strfor,asctime(&tmf));
          itmp = strlen(strfor);
          if(strfor[itmp-1]=='\n')
          strfor[itmp-1]='\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);
+         printf("   - if your program needs %d iterations to converge, convergence will be \n   reached in %s i.e.\n   on %s (current time is %s);\n",niterf, asc_diff_time(rforecast_time-rcurr_time,tmpout),strfor,strcurr);
-         fprintf(ficlog,"   - if your program needs %d iterations to converge, convergence will be \n   reached in %s i.e.\n   on %s (current time is %s);\n",niterf, asc_diff_time(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(rforecast_time-rcurr_time,tmpout),strfor,strcurr);
        }
      }
      for (i=1;i<=n;i++) {
- Line 948  void powell(double p[], double **xi, int
+ Line 1391  void powell(double p[], double **xi, int
          fprintf(ficlog," x(%d)=%.12e",j,xit[j]);
        }
        for(j=1;j<=n;j++) {
-         printf(" p=%.12e",p[j]);
+         printf(" p(%d)=%.12e",j,p[j]);
-         fprintf(ficlog," p=%.12e",p[j]);
+         fprintf(ficlog," p(%d)=%.12e",j,p[j]);
        }
        printf("\n");
        fprintf(ficlog,"\n");
  #endif
-     }
+     } /* end i */
      if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret))) {
  #ifdef DEBUG
        int k[2],l;
- Line 987  void powell(double p[], double **xi, int
+ Line 1430  void powell(double p[], double **xi, int
        return;
      }
      if (*iter == ITMAX) nrerror("powell exceeding maximum iterations.");
-     for (j=1;j<=n;j++) {
+     for (j=1;j<=n;j++) { /* Computes an extrapolated point */
        ptt[j]=2.0*p[j]-pt[j];
        xit[j]=p[j]-pt[j];
        pt[j]=p[j];
      }
      fptt=(*func)(ptt);
-     if (fptt < fp) {
+     if (fptt < fp) { /* If extrapolated point is better, decide if we keep that new direction or not */
-       t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)-del*SQR(fp-fptt);
+       /* (x1 f1=fp), (x2 f2=*fret), (x3 f3=fptt), (xm fm) */
-       if (t < 0.0) {
+       /* From x1 (P0) distance of x2 is at h and x3 is 2h */
-         linmin(p,xit,n,fret,func);
+       /* Let f"(x2) be the 2nd derivative equal everywhere.  */
+       /* Then the parabolic through (x1,f1), (x2,f2) and (x3,f3) */
+       /* will reach at f3 = fm + h^2/2 f"m  ; f" = (f1 -2f2 +f3 ) / h**2 */
+       /* f1-f3 = delta(2h) = 2 h**2 f'' = 2(f1- 2f2 +f3) */
+       /* Thus we compare delta(2h) with observed f1-f3 */
+       /* or best gain on one ancient line 'del' with total  */
+       /* gain f1-f2 = f1 - f2 - 'del' with del  */
+       /* t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)-del*SQR(fp-fptt); */
+       t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del);
+       t= t- del*SQR(fp-fptt);
+       printf("t1= %.12lf, t2= %.12lf, t=%.12lf\n", 2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del),del*SQR(fp-fptt),t);
+       fprintf(ficlog,"t1= %.12lf, t2= %.12lf, t=%.12lf\n", 2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del),del*SQR(fp-fptt),t);
+ #ifdef DEBUG
+       printf("t3= %.12lf, t4= %.12lf, t3*= %.12lf, t4*= %.12lf\n",SQR(fp-(*fret)-del),SQR(fp-fptt),
+              (fp-(*fret)-del)*(fp-(*fret)-del),(fp-fptt)*(fp-fptt));
+       fprintf(ficlog,"t3= %.12lf, t4= %.12lf, t3*= %.12lf, t4*= %.12lf\n",SQR(fp-(*fret)-del),SQR(fp-fptt),
+              (fp-(*fret)-del)*(fp-(*fret)-del),(fp-fptt)*(fp-fptt));
+       printf("tt= %.12lf, t=%.12lf\n",2.0*(fp-2.0*(*fret)+fptt)*(fp-(*fret)-del)*(fp-(*fret)-del)-del*(fp-fptt)*(fp-fptt),t);
+       fprintf(ficlog, "tt= %.12lf, t=%.12lf\n",2.0*(fp-2.0*(*fret)+fptt)*(fp-(*fret)-del)*(fp-(*fret)-del)-del*(fp-fptt)*(fp-fptt),t);
+ #endif
+       if (t < 0.0) { /* Then we use it for last direction */
+         linmin(p,xit,n,fret,func); /* computes mean on the extrapolated direction.*/
          for (j=1;j<=n;j++) {
-           xi[j][ibig]=xi[j][n];
+           xi[j][ibig]=xi[j][n]; /* Replace the direction with biggest decrease by n */
-           xi[j][n]=xit[j];
+           xi[j][n]=xit[j];      /* and nth direction by the extrapolated */
          }
+         printf("Gaining to use average direction of P0 P%d instead of biggest increase direction %d :\n",n,ibig);
+         fprintf(ficlog,"Gaining to use average direction of P0 P%d instead of biggest increase direction :\n",n,ibig);
  #ifdef DEBUG
-         printf("Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
-         fprintf(ficlog,"Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
          for(j=1;j<=n;j++){
            printf(" %.12e",xit[j]);
            fprintf(ficlog," %.12e",xit[j]);
- Line 1011  void powell(double p[], double **xi, int
+ Line 1477  void powell(double p[], double **xi, int
          printf("\n");
          fprintf(ficlog,"\n");
  #endif
-       }
+       } /* end of t negative */
-     }
+     } /* end if (fptt < fp)  */
    }
  }
- /**** Prevalence limit (stable prevalence)  ****************/
+ /**** Prevalence limit (stable or period prevalence)  ****************/
  double **prevalim(double **prlim, int nlstate, double x[], double age, double **oldm, double **savm, double ftolpl, int ij)
  {
- Line 1025  double **prevalim(double **prlim, int nl
+ Line 1491  double **prevalim(double **prlim, int nl
    int i, ii,j,k;
    double min, max, maxmin, maxmax,sumnew=0.;
-   double **matprod2();
+   /* double **matprod2(); */ /* test */
-   double **out, cov[NCOVMAX], **pmij();
+   double **out, cov[NCOVMAX+1], **pmij();
    double **newm;
    double agefin, delaymax=50 ; /* Max number of years to converge */
- Line 1041  double **prevalim(double **prlim, int nl
+ Line 1507  double **prevalim(double **prlim, int nl
    for(agefin=age-stepm/YEARM; agefin>=age-delaymax; agefin=agefin-stepm/YEARM){
      newm=savm;
      /* Covariates have to be included here again */
-      cov[2]=agefin;
+     cov[2]=agefin;
-       for (k=1; k<=cptcovn;k++) {
+     for (k=1; k<=cptcovn;k++) {
-         cov[2+k]=nbcode[Tvar[k]][codtab[ij][Tvar[k]]];
+       cov[2+k]=nbcode[Tvar[k]][codtab[ij][Tvar[k]]];
-         /*      printf("ij=%d k=%d Tvar[k]=%d nbcode=%d cov=%lf codtab[ij][Tvar[k]]=%d \n",ij,k, Tvar[k],nbcode[Tvar[k]][codtab[ij][Tvar[k]]],cov[2+k], codtab[ij][Tvar[k]]);*/
+       /*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]]);*/
-       }
+     }
-       for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2];
+     /* for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
-       for (k=1; k<=cptcovprod;k++)
+     /* 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]]];
+     /*   cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]] * nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]]; */
-       /*printf("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/
+     /*printf("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/
-       /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/
+     /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/
-       /*printf("ij=%d cov[3]=%lf \n",ij, cov[3]);*/
+     /*printf("ij=%d cov[3]=%lf \n",ij, cov[3]);*/
-     out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm);
+     /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
+     /* out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /\* Bug Valgrind *\/ */
+     out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /* Bug Valgrind */
      savm=oldm;
      oldm=newm;
      maxmax=0.;
- Line 1066  double **prevalim(double **prlim, int nl
+ Line 1534  double **prevalim(double **prlim, int nl
          sumnew=0;
          for(k=1; k<=ndeath; k++) sumnew+=newm[i][nlstate+k];
          prlim[i][j]= newm[i][j]/(1-sumnew);
+         /*printf(" prevalim i=%d, j=%d, prmlim[%d][%d]=%f, agefin=%d \n", i, j, i, j, prlim[i][j],(int)agefin);*/
          max=FMAX(max,prlim[i][j]);
          min=FMIN(min,prlim[i][j]);
        }
- Line 1082  double **prevalim(double **prlim, int nl
+ Line 1551  double **prevalim(double **prlim, int nl
  double **pmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )
  {
-   double s1, s2;
+   /* According to parameters values stored in x and the covariate's values stored in cov,
+      computes the probability to be observed in state j being in state i by appying the
+      model to the ncovmodel covariates (including constant and age).
+      lnpijopii=ln(pij/pii)= aij+bij*age+cij*v1+dij*v2+... = sum_nc=1^ncovmodel xij(nc)*cov[nc]
+      and, according on how parameters are entered, the position of the coefficient xij(nc) of the
+      ncth covariate in the global vector x is given by the formula:
+      j<i nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel
+      j>=i nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel
+      Computes ln(pij/pii) (lnpijopii), deduces pij/pii by exponentiation,
+      sums on j different of i to get 1-pii/pii, deduces pii, and then all pij.
+      Outputs ps[i][j] the probability to be observed in j being in j according to
+      the values of the covariates cov[nc] and corresponding parameter values x[nc+shiftij]
+   */
+   double s1, lnpijopii;
    /*double t34;*/
    int i,j,j1, nc, ii, jj;
      for(i=1; i<= nlstate; i++){
        for(j=1; j<i;j++){
-         for (nc=1, s2=0.;nc <=ncovmodel; nc++){
+         for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
-           /*s2 += param[i][j][nc]*cov[nc];*/
+           /*lnpijopii += param[i][j][nc]*cov[nc];*/
-           s2 += x[(i-1)*nlstate*ncovmodel+(j-1)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];
+           lnpijopii += x[nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel]*cov[nc];
- /*       printf("Int j<i s1=%.17e, s2=%.17e\n",s1,s2); */
+ /*       printf("Int j<i s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
          }
-         ps[i][j]=s2;
+         ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
- /*      printf("s1=%.17e, s2=%.17e\n",s1,s2); */
+ /*      printf("s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
        }
        for(j=i+1; j<=nlstate+ndeath;j++){
-         for (nc=1, s2=0.;nc <=ncovmodel; nc++){
+         for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
-           s2 += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];
+           /*lnpijopii += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];*/
- /*        printf("Int j>i s1=%.17e, s2=%.17e %lx %lx\n",s1,s2,s1,s2); */
+           lnpijopii += x[nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel]*cov[nc];
+ /*        printf("Int j>i s1=%.17e, lnpijopii=%.17e %lx %lx\n",s1,lnpijopii,s1,lnpijopii); */
          }
-         ps[i][j]=s2;
+         ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
        }
      }
-     /*ps[3][2]=1;*/
      for(i=1; i<= nlstate; i++){
        s1=0;
-       for(j=1; j<i; j++)
+       for(j=1; j<i; j++){
-         s1+=exp(ps[i][j]);
+         s1+=exp(ps[i][j]); /* In fact sums pij/pii */
-       for(j=i+1; j<=nlstate+ndeath; j++)
+         /*printf("debug1 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
-         s1+=exp(ps[i][j]);
+       }
+       for(j=i+1; j<=nlstate+ndeath; j++){
+         s1+=exp(ps[i][j]); /* In fact sums pij/pii */
+         /*printf("debug2 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
+       }
+       /* s1= sum_{j<>i} pij/pii=(1-pii)/pii and thus pii is known from s1 */
        ps[i][i]=1./(s1+1.);
+       /* Computing other pijs */
        for(j=1; j<i; j++)
          ps[i][j]= exp(ps[i][j])*ps[i][i];
        for(j=i+1; j<=nlstate+ndeath; j++)
- Line 1127  double **pmij(double **ps, double *cov,
+ Line 1615  double **pmij(double **ps, double *cov,
        }
      }
- /*        for(ii=1; ii<= nlstate+ndeath; ii++){ */
+     /* for(ii=1; ii<= nlstate+ndeath; ii++){ */
- /*       for(jj=1; jj<= nlstate+ndeath; jj++){ */
+     /*   for(jj=1; jj<= nlstate+ndeath; jj++){ */
- /*         printf("ddd %lf ",ps[ii][jj]); */
+     /*  printf(" pmij  ps[%d][%d]=%lf ",ii,jj,ps[ii][jj]); */
- /*       } */
+     /*   } */
- /*       printf("\n "); */
+     /*   printf("\n "); */
- /*        } */
+     /* } */
- /*        printf("\n ");printf("%lf ",cov[2]); */
+     /* printf("\n ");printf("%lf ",cov[2]);*/
-        /*
+     /*
        for(i=1; i<= npar; i++) printf("%f ",x[i]);
        goto end;*/
      return ps;
- Line 1143  double **pmij(double **ps, double *cov,
+ Line 1631  double **pmij(double **ps, double *cov,
  /**************** Product of 2 matrices ******************/
- double **matprod2(double **out, double **in,long nrl, long nrh, long ncl, long nch, long ncolol, long ncoloh, double **b)
+ double **matprod2(double **out, double **in,int nrl, int nrh, int ncl, int nch, int ncolol, int ncoloh, double **b)
  {
    /* Computes the matrix product of in(1,nrh-nrl+1)(1,nch-ncl+1) times
       b(1,nch-ncl+1)(1,ncoloh-ncolol+1) into out(...) */
    /* in, b, out are matrice of pointers which should have been initialized
       before: only the contents of out is modified. The function returns
       a pointer to pointers identical to out */
-   long i, j, k;
+   int i, j, k;
    for(i=nrl; i<= nrh; i++)
-     for(k=ncolol; k<=ncoloh; k++)
+     for(k=ncolol; k<=ncoloh; k++){
-       for(j=ncl,out[i][k]=0.; j<=nch; j++)
+       out[i][k]=0.;
-         out[i][k] +=in[i][j]*b[j][k];
+       for(j=ncl; j<=nch; j++)
+         out[i][k] +=in[i][j]*b[j][k];
+     }
    return out;
  }
- Line 1177  double ***hpxij(double ***po, int nhstep
+ Line 1666  double ***hpxij(double ***po, int nhstep
       */
    int i, j, d, h, k;
-   double **out, cov[NCOVMAX];
+   double **out, cov[NCOVMAX+1];
    double **newm;
    /* Hstepm could be zero and should return the unit matrix */
- Line 1193  double ***hpxij(double ***po, int nhstep
+ Line 1682  double ***hpxij(double ***po, int nhstep
        /* Covariates have to be included here again */
        cov[1]=1.;
        cov[2]=age+((h-1)*hstepm + (d-1))*stepm/YEARM;
-       for (k=1; k<=cptcovn;k++) cov[2+k]=nbcode[Tvar[k]][codtab[ij][Tvar[k]]];
+       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];
-       for (k=1; k<=cptcovprod;k++)
+       for (k=1; k<=cptcovprod;k++) /* Useless because included in cptcovn */
          cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]]*nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]];
- Line 1210  double ***hpxij(double ***po, int nhstep
+ Line 1700  double ***hpxij(double ***po, int nhstep
      for(i=1; i<=nlstate+ndeath; i++)
        for(j=1;j<=nlstate+ndeath;j++) {
          po[i][j][h]=newm[i][j];
-         /*printf("i=%d j=%d h=%d po[i][j][h]=%f ",i,j,h,po[i][j][h]);
+         /*if(h==nhstepm) printf("po[%d][%d][%d]=%f ",i,j,h,po[i][j][h]);*/
-          */
        }
+     /*printf("h=%d ",h);*/
    } /* end h */
+ /*     printf("\n H=%d \n",h); */
    return po;
  }
+ #ifdef NLOPT
+   double  myfunc(unsigned n, const double *p1, double *grad, void *pd){
+   double fret;
+   double *xt;
+   int j;
+   myfunc_data *d2 = (myfunc_data *) pd;
+ /* xt = (p1-1); */
+   xt=vector(1,n);
+   for (j=1;j<=n;j++)   xt[j]=p1[j-1]; /* xt[1]=p1[0] */
+   fret=(d2->function)(xt); /*  p xt[1]@8 is fine */
+   /* fret=(*func)(xt); /\*  p xt[1]@8 is fine *\/ */
+   printf("Function = %.12lf ",fret);
+   for (j=1;j<=n;j++) printf(" %d %.8lf", j, xt[j]);
+   printf("\n");
+  free_vector(xt,1,n);
+   return fret;
+ }
+ #endif
  /*************** log-likelihood *************/
  double func( double *x)
  {
    int i, ii, j, k, mi, d, kk;
-   double l, ll[NLSTATEMAX], cov[NCOVMAX];
+   double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1];
    double **out;
    double sw; /* Sum of weights */
    double lli; /* Individual log likelihood */
- Line 1235  double func( double *x)
+ Line 1745  double func( double *x)
    /*for(i=1;i<imx;i++)
      printf(" %d\n",s[4][i]);
    */
+   ++countcallfunc;
    cov[1]=1.;
    for(k=1; k<=nlstate; k++) ll[k]=0.;
    if(mle==1){
      for (i=1,ipmx=0, sw=0.; i<=imx; i++){
-       for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];
+       /* Computes the values of the ncovmodel covariates of the model
+          depending if the covariates are fixed or variying (age dependent) and stores them in cov[]
+          Then computes with function pmij which return a matrix p[i][j] giving the elementary probability
+          to be observed in j being in i according to the model.
+        */
+       for (k=1; k<=cptcovn;k++){ /* Simple and product covariates without age* products */
+         cov[2+k]=covar[Tvar[k]][i];
+       }
+       /* In model V2+V1*V4+age*V3+V3*V2 Tvar[1] is V2, Tvar[2=V1*V4]
+          is 6, Tvar[3=age*V3] should not be computed because of age Tvar[4=V3*V2]
+          has been calculated etc */
        for(mi=1; mi<= wav[i]-1; mi++){
          for (ii=1;ii<=nlstate+ndeath;ii++)
            for (j=1;j<=nlstate+ndeath;j++){
- Line 1252  double func( double *x)
+ Line 1775  double func( double *x)
            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];
+             cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2]; /* Tage[kk] gives the data-covariate associated with age */
            }
            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
 ,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
- Line 1309  double func( double *x)
+ Line 1832  double func( double *x)
          } else if  (s2==-2) {
            for (j=1,survp=0. ; j<=nlstate; j++)
-             survp += out[s1][j];
+             survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
-           lli= survp;
+           /*survp += out[s1][j]; */
+           lli= log(survp);
          }
          else if  (s2==-4) {
            for (j=3,survp=0. ; j<=nlstate; j++)
-             survp += out[s1][j];
+             survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
-           lli= survp;
+           lli= log(survp);
          }
-         else if  (s2==-5) {
-           for (j=1,survp=0. ; j<=2; j++)
-             survp += out[s1][j];
-           lli= survp;
-         }
+         else if  (s2==-5) {
+           for (j=1,survp=0. ; j<=2; j++)
+             survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
+           lli= log(survp);
+         }
          else{
            lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
            /*  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 */
- Line 1476  double funcone( double *x)
+ Line 1999  double funcone( double *x)
  {
    /* Same as likeli but slower because of a lot of printf and if */
    int i, ii, j, k, mi, d, kk;
-   double l, ll[NLSTATEMAX], cov[NCOVMAX];
+   double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1];
    double **out;
    double lli; /* Individual log likelihood */
    double llt;
- Line 1506  double funcone( double *x)
+ Line 2029  double funcone( double *x)
          for (kk=1; kk<=cptcovage;kk++) {
            cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
          }
+         /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
 ,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
+         /* 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 */
- Line 1520  double funcone( double *x)
+ Line 2046  double funcone( double *x)
         */
        if( s2 > nlstate && (mle <5) ){  /* Jackson */
          lli=log(out[s1][s2] - savm[s1][s2]);
-       } else if (mle==1){
+       } else if  (s2==-2) {
+         for (j=1,survp=0. ; j<=nlstate; j++)
+           survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
+         lli= log(survp);
+       }else if (mle==1){
          lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
        } else if(mle==2){
          lli= (savm[s1][s2]>(double)1.e-8 ?log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]):log((1.+bbh)*out[s1][s2])); /* linear interpolation */
- Line 1528  double funcone( double *x)
+ Line 2058  double funcone( double *x)
          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 */
          lli=log(out[s1][s2]); /* Original formula */
-       } else{  /* ml>=5 no inter-extrapolation no jackson =0.8a */
+       } else{  /* mle=0 back to 1 */
-         lli=log(out[s1][s2]); /* Original formula */
+         lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
+         /*lli=log(out[s1][s2]); */ /* Original formula */
        } /* End of if */
        ipmx +=1;
        sw += weight[i];
        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]); */
+       /*printf("i=%6d s1=%1d s2=%1d mi=%1d mw=%1d dh=%3d prob=%10.6f w=%6.4f out=%10.6f sav=%10.6f\n",i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],out[s1][s2],savm[s1][s2]); */
        if(globpr){
-         fprintf(ficresilk,"%9d %6d %1d %1d %1d %1d %3d %10.6f %6.4f\
+         fprintf(ficresilk,"%9ld %6d %2d %2d %1d %1d %3d %11.6f %8.4f\
-  %10.6f %10.6f %10.6f ", \
+  %11.6f %11.6f %11.6f ", \
                  num[i],i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],
 *weight[i]*lli,out[s1][s2],savm[s1][s2]);
          for(k=1,llt=0.,l=0.; k<=nlstate; k++){
- Line 1603  void mlikeli(FILE *ficres,double p[], in
+ Line 2134  void mlikeli(FILE *ficres,double p[], in
    double fret;
    double fretone; /* Only one call to likelihood */
    /*  char filerespow[FILENAMELENGTH];*/
+ #ifdef NLOPT
+   int creturn;
+   nlopt_opt opt;
+   /* double lb[9] = { -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL }; /\* lower bounds *\/ */
+   double *lb;
+   double minf; /* the minimum objective value, upon return */
+   double * p1; /* Shifted parameters from 0 instead of 1 */
+   myfunc_data dinst, *d = &dinst;
+ #endif
    xi=matrix(1,npar,1,npar);
    for (i=1;i<=npar;i++)
      for (j=1;j<=npar;j++)
- Line 1619  void mlikeli(FILE *ficres,double p[], in
+ Line 2162  void mlikeli(FILE *ficres,double p[], in
      for(j=1;j<=nlstate+ndeath;j++)
        if(j!=i)fprintf(ficrespow," p%1d%1d",i,j);
    fprintf(ficrespow,"\n");
+ #ifdef POWELL
    powell(p,xi,npar,ftol,&iter,&fret,func);
+ #endif
+ #ifdef NLOPT
+ #ifdef NEWUOA
+   opt = nlopt_create(NLOPT_LN_NEWUOA,npar);
+ #else
+   opt = nlopt_create(NLOPT_LN_BOBYQA,npar);
+ #endif
+   lb=vector(0,npar-1);
+   for (i=0;i<npar;i++) lb[i]= -HUGE_VAL;
+   nlopt_set_lower_bounds(opt, lb);
+   nlopt_set_initial_step1(opt, 0.1);
+   p1= (p+1); /*  p *(p+1)@8 and p *(p1)@8 are equal p1[0]=p[1] */
+   d->function = func;
+   printf(" Func %.12lf \n",myfunc(npar,p1,NULL,d));
+   nlopt_set_min_objective(opt, myfunc, d);
+   nlopt_set_xtol_rel(opt, ftol);
+   if ((creturn=nlopt_optimize(opt, p1, &minf)) < 0) {
+     printf("nlopt failed! %d\n",creturn);
+   }
+   else {
+     printf("found minimum after %d evaluations (NLOPT=%d)\n", countcallfunc ,NLOPT);
+     printf("found minimum at f(%g,%g) = %0.10g\n", p[0], p[1], minf);
+     iter=1; /* not equal */
+   }
+   nlopt_destroy(opt);
+ #endif
+   free_matrix(xi,1,npar,1,npar);
    fclose(ficrespow);
-   printf("\n#Number of iterations = %d, -2 Log likelihood = %.12f\n",iter,func(p));
+   printf("\n#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
-   fprintf(ficlog,"\n#Number of iterations = %d, -2 Log likelihood = %.12f \n",iter,func(p));
+   fprintf(ficlog,"\n#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
-   fprintf(ficres,"#Number of iterations = %d, -2 Log likelihood = %.12f \n",iter,func(p));
+   fprintf(ficres,"\n#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
  }
- Line 1738  double hessii(double x[], double delta,
+ Line 2309  double hessii(double x[], double delta,
    int i;
    int l=1, lmax=20;
    double k1,k2;
-   double p2[NPARMAX+1];
+   double p2[MAXPARM+1]; /* identical to x */
    double res;
    double delt=0.0001, delts, nkhi=10.,nkhif=1., khi=1.e-4;
    double fx;
- Line 1747  double hessii(double x[], double delta,
+ Line 2318  double hessii(double x[], double delta,
    fx=func(x);
    for (i=1;i<=npar;i++) p2[i]=x[i];
-   for(l=0 ; l <=lmax; l++){
+   for(l=0 ; l <=lmax; l++){  /* Enlarging the zone around the Maximum */
      l1=pow(10,l);
      delts=delt;
      for(k=1 ; k <kmax; k=k+1){
        delt = delta*(l1*k);
        p2[theta]=x[theta] +delt;
-       k1=func(p2)-fx;
+       k1=func(p2)-fx;   /* Might be negative if too close to the theoretical maximum */
        p2[theta]=x[theta]-delt;
        k2=func(p2)-fx;
        /*res= (k1-2.0*fx+k2)/delt/delt; */
        res= (k1+k2)/delt/delt/2.; /* Divided by because L and not 2*L */
- #ifdef DEBUG
+ #ifdef DEBUGHESS
        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);
        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);
  #endif
- Line 1785  double hessij( double x[], double delti[
+ Line 2356  double hessij( double x[], double delti[
    int i;
    int l=1, l1, lmax=20;
    double k1,k2,k3,k4,res,fx;
-   double p2[NPARMAX+1];
+   double p2[MAXPARM+1];
    int k;
    fx=func(x);
- Line 1889  void lubksb(double **a, int n, int *indx
+ Line 2460  void lubksb(double **a, int n, int *indx
    }
  }
+ void pstamp(FILE *fichier)
+ {
+   fprintf(fichier,"# %s.%s\n#%s\n#%s\n# %s", optionfilefiname,optionfilext,version,fullversion,strstart);
+ }
  /************ 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[])
  {  /* Some frequencies */
-   int i, m, jk, k1,i1, j1, bool, z1,z2,j;
+   int i, m, jk, k1,i1, j1, bool, z1,j;
    int first;
    double ***freq; /* Frequencies */
    double *pp, **prop;
    double pos,posprop, k2, dateintsum=0,k2cpt=0;
-   FILE *ficresp;
    char fileresp[FILENAMELENGTH];
    pp=vector(1,nlstate);
- Line 1918  void  freqsummary(char fileres[], int ia
+ Line 2493  void  freqsummary(char fileres[], int ia
    first=1;
-   for(k1=1; k1<=j;k1++){
+   /* for(k1=1; k1<=j ; k1++){   /* Loop on covariates */
-     for(i1=1; i1<=ncodemax[k1];i1++){
+   /*  for(i1=1; i1<=ncodemax[k1];i1++){ /* Now it is 2 */
-       j1++;
+   /*    j1++;
+ */
+   for (j1 = 1; j1 <= (int) pow(2,cptcoveff); j1++){
        /*printf("cptcoveff=%d Tvaraff=%d", cptcoveff,Tvaraff[1]);
          scanf("%d", i);*/
        for (i=-5; i<=nlstate+ndeath; i++)
          for (jk=-5; jk<=nlstate+ndeath; jk++)
            for(m=iagemin; m <= iagemax+3; m++)
              freq[i][jk][m]=0;
-     for (i=1; i<=nlstate; i++)
+       for (i=1; i<=nlstate; i++)
-       for(m=iagemin; m <= iagemax+3; m++)
+         for(m=iagemin; m <= iagemax+3; m++)
-         prop[i][m]=0;
+           prop[i][m]=0;
        dateintsum=0;
        k2cpt=0;
        for (i=1; i<=imx; i++) {
          bool=1;
-         if  (cptcovn>0) {
+         if  (cptcovn>0) { /* Filter is here: Must be looked at for model=V1+V2+V3+V4 */
            for (z1=1; z1<=cptcoveff; z1++)
-             if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtab[j1][z1]])
+             if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtab[j1][z1]]){
-               bool=0;
+                 /* Tests if the value of each of the covariates of i is equal to filter j1 */
+               bool=0;
+               /* 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],
+                 j1,z1,nbcode[Tvaraff[z1]][codtab[j1][z1]],j1);*/
+               /* For j1=7 in V1+V2+V3+V4 = 0 1 1 0 and codtab[7][3]=1 and nbcde[3][?]=1*/
+             }
          }
          if (bool==1){
            for(m=firstpass; m<=lastpass; m++){
              k2=anint[m][i]+(mint[m][i]/12.);
- Line 1960  void  freqsummary(char fileres[], int ia
+ Line 2544  void  freqsummary(char fileres[], int ia
                /*}*/
            }
          }
-       }
+       } /* end i */
        /*      fprintf(ficresp, "#Count between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);*/
- fprintf(ficresp, "#Local time at start: %s", strstart);
+       pstamp(ficresp);
        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 ");
+         for (z1=1; z1<=cptcoveff; z1++) fprintf(ficlog, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
+         fprintf(ficlog, "**********\n#");
        }
        for(i=1; i<=nlstate;i++)
          fprintf(ficresp, " Age Prev(%d) N(%d) N",i,i);
- Line 1992  fprintf(ficresp, "#Local time at start:
+ Line 2579  fprintf(ficresp, "#Local time at start:
              pos += freq[jk][m][i];
            if(pp[jk]>=1.e-10){
              if(first==1){
-             printf(" %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);
+               printf(" %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);
              }
              fprintf(ficlog," %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);
            }else{
- Line 2044  fprintf(ficresp, "#Local time at start:
+ Line 2631  fprintf(ficresp, "#Local time at start:
            printf("Others in log...\n");
          fprintf(ficlog,"\n");
        }
-     }
+       /*}*/
    }
    dateintmean=dateintsum/k2cpt;
- Line 2063  void prevalence(double ***probs, double
+ Line 2650  void prevalence(double ***probs, double
       We still use firstpass and lastpass as another selection.
    */
-   int i, m, jk, k1, i1, j1, bool, z1,z2,j;
+   int i, m, jk, k1, i1, j1, bool, z1,j;
    double ***freq; /* Frequencies */
    double *pp, **prop;
    double pos,posprop;
    double  y2; /* in fractional years */
    int iagemin, iagemax;
+   int first; /** to stop verbosity which is redirected to log file */
    iagemin= (int) agemin;
    iagemax= (int) agemax;
- Line 2077  void prevalence(double ***probs, double
+ Line 2665  void prevalence(double ***probs, double
    /*  freq=ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,iagemin,iagemax+3);*/
    j1=0;
-   j=cptcoveff;
+   /*j=cptcoveff;*/
    if (cptcovn<1) {j=1;ncodemax[1]=1;}
-   for(k1=1; k1<=j;k1++){
+   first=1;
-     for(i1=1; i1<=ncodemax[k1];i1++){
+   for(j1=1; j1<= (int) pow(2,cptcoveff);j1++){
-       j1++;
+     /*for(i1=1; i1<=ncodemax[k1];i1++){
+       j1++;*/
        for (i=1; i<=nlstate; i++)
          for(m=iagemin; m <= iagemax+3; m++)
- Line 2112  void prevalence(double ***probs, double
+ Line 2701  void prevalence(double ***probs, double
          }
        }
        for(i=iagemin; i <= iagemax+3; i++){
          for(jk=1,posprop=0; jk <=nlstate ; jk++) {
            posprop += prop[jk][i];
          }
          for(jk=1; jk <=nlstate ; jk++){
            if( i <=  iagemax){
              if(posprop>=1.e-5){
                probs[i][jk][j1]= prop[jk][i]/posprop;
-             }
+             } else{
+               if(first==1){
+                 first=0;
+                 printf("Warning Observed prevalence probs[%d][%d][%d]=%lf because of lack of cases\nSee others on log file...\n",jk,i,j1,probs[i][jk][j1]);
+               }
+             }
            }
          }/* end jk */
        }/* end i */
-     } /* end i1 */
+     /*} *//* end i1 */
-   } /* end k1 */
+   } /* end j1 */
    /*  free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath, iagemin, iagemax+3);*/
    /*free_vector(pp,1,nlstate);*/
- Line 2176  void  concatwav(int wav[], int **dh, int
+ Line 2769  void  concatwav(int wav[], int **dh, int
      if(mi==0){
        nbwarn++;
        if(first==0){
-         printf("Warning! None valid information for:%ld line=%d (skipped) and may be others, see log file\n",num[i],i);
+         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! None valid information for:%ld line=%d (skipped)\n",num[i],i);
+         fprintf(ficlog,"Warning! No valid information for individual %ld line=%d (skipped)\n",num[i],i);
        }
      } /* end mi==0 */
    } /* End individuals */
- Line 2203  void  concatwav(int wav[], int **dh, int
+ Line 2796  void  concatwav(int wav[], int **dh, int
                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;
+             if (j >= jmax){
-             if (j <= jmin) jmin=j;
+               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);*/
- Line 2215  void  concatwav(int wav[], int **dh, int
+ Line 2814  void  concatwav(int wav[], int **dh, int
  /*        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;
+           if (j >= jmax) {
-           else if (j <= jmin)jmin=j;
+             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){
- Line 2234  void  concatwav(int wav[], int **dh, int
+ Line 2839  void  concatwav(int wav[], int **dh, int
              dh[mi][i]=jk;
              bh[mi][i]=0;
            }else{ /* We want a negative bias in order to only have interpolation ie
-                   * at the price of an extra matrix product in likelihood */
+                   * to avoid the price of an extra matrix product in likelihood */
              dh[mi][i]=jk+1;
              bh[mi][i]=ju;
            }
- Line 2259  void  concatwav(int wav[], int **dh, int
+ Line 2864  void  concatwav(int wav[], int **dh, int
      } /* end wave */
    }
    jmean=sum/k;
-   printf("Delay (in months) between two waves Min=%d Max=%d Mean=%f\n\n ",jmin, jmax,jmean);
+   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 Max=%d Mean=%f\n\n ",jmin, jmax,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)
+ void tricode(int *Tvar, int **nbcode, int imx, int *Ndum)
  {
+   /**< Uses cptcovn+2*cptcovprod as the number of covariates */
-   int Ndum[20],ij=1, k, j, i, maxncov=19;
+   /*      Tvar[i]=atoi(stre);  find 'n' in Vn and stores in Tvar. If model=V2+V1 Tvar[1]=2 and Tvar[2]=1
-   int cptcode=0;
+   /* 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=0; k<maxncov; k++) Ndum[k]=0;
+   for (k=-1; k < maxncov; k++) Ndum[k]=0;
-   for (k=1; k<=7; k++) ncodemax[k]=0;
+   for (k=1; k <= maxncov; k++) ncodemax[k]=0; /* Horrible constant again replaced by NCOVMAX */
-   for (j=1; j<=(cptcovn+2*cptcovprod); j++) {
+   /* Loop on covariates without age and products */
-     for (i=1; i<=imx; i++) { /*reads the data file to get the maximum
+   for (j=1; j<=(cptcovs); j++) { /* model V1 + V2*age+ V3 + V3*V4 : V1 + V3 = 2 only */
-                                modality*/
+     for (i=1; i<=imx; i++) { /* Lopp on individuals: reads the data file to get the maximum value of the
-       ij=(int)(covar[Tvar[j]][i]); /* ij is the modality of this individual*/
+                                modality of this covariate Vj*/
-       Ndum[ij]++; /*store the modality */
+       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);*/
-       if (ij > cptcode) cptcode=ij; /* getting the maximum of covariable
+       /* getting the maximum value of the modality of the covariate
-                                        Tvar[j]. If V=sex and male is 0 and
+          (should be 0 or 1 now) Tvar[j]. If V=sex and male is coded 0 and
-                                        female is 1, then  cptcode=1.*/
+          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);
-     for (i=0; i<=cptcode; i++) {
+     cptcode=modmaxcovj;
-       if(Ndum[i]!=0) ncodemax[j]++; /* Nomber of modalities of the j th covariates. In fact ncodemax[j]=2 (dichotom. variables) but it can be more */
+     /* 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 */
-     ij=1;
+       printf("Frequencies of covariates %d V%d %d\n", j, Tvar[j], Ndum[i]);
-     for (i=1; i<=ncodemax[j]; i++) {
+       if( Ndum[i] != 0 ){ /* Counts if nobody answered, empty modality */
-       for (k=0; k<= maxncov; k++) {
+         ncodemax[j]++;  /* ncodemax[j]= Number of non-null modalities of the j th covariate. */
-         if (Ndum[k] != 0) {
+       }
-           nbcode[Tvar[j]][ij]=k;
+       /* In fact  ncodemax[j]=2 (dichotom. variables only) but it could be more for
-           /* store the modality in an array. k is a modality. If we have model=V1+V1*sex then: nbcode[1][1]=0 ; nbcode[1][2]=1; nbcode[2][1]=0 ; nbcode[2][2]=1; */
+          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=0; k< maxncov; k++) Ndum[k]=0;
+  for (k=-1; k< maxncov; k++) Ndum[k]=0;
-  for (i=1; i<=ncovmodel-2; i++) {
+   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];
+    ij=Tvar[i]; /* Tvar might be -1 if status was unknown */
     Ndum[ij]++;
   }
   ij=1;
-  for (i=1; i<= maxncov; i++) {
+  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)){
-      Tvaraff[ij]=i; /*For printing */
+      /*printf("diff Ndum[%d]=%d\n",i, Ndum[i]);*/
+      Tvaraff[ij]=i; /*For printing (unclear) */
       ij++;
-    }
+    }else
+        Tvaraff[ij]=0;
   }
+  ij--;
-  cptcoveff=ij-1; /*Number of simple covariates*/
+  cptcoveff=ij; /*Number of total covariates*/
  }
  /*********** Health Expectancies ****************/
- void evsij(char fileres[], double ***eij, double x[], int nlstate, int stepm, int bage, int fage, double **oldm, double **savm, int ij, int estepm,double delti[],double **matcov,char strstart[] )
+ 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 */
+   /* Health expectancies, no variances */
-   int i, j, nhstepm, hstepm, h, nstepm, k, cptj;
+   int i, j, nhstepm, hstepm, h, nstepm, k, cptj, cptj2, i2, j2;
+   int nhstepma, nstepma; /* Decreasing with age */
    double age, agelim, hf;
-   double ***p3mat,***varhe;
+   double ***p3mat;
-   double **dnewm,**doldm;
+   double eip;
-   double *xp;
-   double **gp, **gm;
-   double ***gradg, ***trgradg;
-   int theta;
-   varhe=ma3x(1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int) fage);
+   pstamp(ficreseij);
-   xp=vector(1,npar);
+   fprintf(ficreseij,"# (a) Life expectancies by health status at initial age and (b) health expectancies by health status at initial age\n");
-   dnewm=matrix(1,nlstate*nlstate,1,npar);
-   doldm=matrix(1,nlstate*nlstate,1,nlstate*nlstate);
-   fprintf(ficreseij,"# Local time at start: %s", strstart);
-   fprintf(ficreseij,"# Health expectancies\n");
    fprintf(ficreseij,"# Age");
-   for(i=1; i<=nlstate;i++)
+   for(i=1; i<=nlstate;i++){
-     for(j=1; j<=nlstate;j++)
+     for(j=1; j<=nlstate;j++){
-       fprintf(ficreseij," %1d-%1d (SE)",i,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);
    }
- Line 2380  void evsij(char fileres[], double ***eij
+ Line 3032  void evsij(char fileres[], double ***eij
    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 */
+   /* If stepm=6 months */
-     /* nhstepm age range expressed in number of stepm */
-     nstepm=(int) rint((agelim-age)*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 */
-     p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
-     gradg=ma3x(0,nhstepm,1,npar,1,nlstate*nlstate);
-     gp=matrix(0,nhstepm,1,nlstate*nlstate);
-     gm=matrix(0,nhstepm,1,nlstate*nlstate);
      /* Computed by stepm unit matrices, product of hstepm matrices, stored
         in an array of nhstepm length: nhstepm=10, hstepm=4, stepm=6 months */
-     hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm, savm, ij);
+ /* nhstepm age range expressed in number of stepm */
+   nstepm=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
-     hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
+   /* 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);
-     /* Computing  Variances of health expectancies */
+   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 */
-      for(theta=1; theta <=npar; theta++){
+     /* If stepm=6 months */
-       for(i=1; i<=npar; i++){
+     /* Computed by stepm unit matrices, product of hstepma matrices, stored
-         xp[i] = x[i] + (i==theta ?delti[theta]:0);
+        in an array of nhstepma length: nhstepma=10, hstepm=4, stepm=6 months */
-       }
-       hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);
+     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");
-       cptj=0;
+ }
-       for(j=1; j<= nlstate; j++){
-         for(i=1; i<=nlstate; i++){
+ 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[] )
-           cptj=cptj+1;
-           for(h=0, gp[h][cptj]=0.; h<=nhstepm-1; h++){
+ {
-             gp[h][cptj] = (p3mat[i][j][h]+p3mat[i][j][h+1])/2.;
+   /* 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(i=1; i<=npar; i++)
-         xp[i] = x[i] - (i==theta ?delti[theta]:0);
-       hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);
-       cptj=0;
        for(j=1; j<= nlstate; j++){
-         for(i=1;i<=nlstate;i++){
+         for(i=1; i<=nlstate; i++){
-           cptj=cptj+1;
+           for(h=0; h<=nhstepm-1; h++){
-           for(h=0, gm[h][cptj]=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.;
-             gm[h][cptj] = (p3mat[i][j][h]+p3mat[i][j][h+1])/2.;
            }
          }
        }
-       for(j=1; j<= nlstate*nlstate; j++)
+       for(ij=1; ij<= nlstate*nlstate; ij++)
          for(h=0; h<=nhstepm-1; h++){
-           gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta];
+           gradg[h][theta][ij]= (gp[h][ij]-gm[h][ij])/2./delti[theta];
          }
-      }
+     }/* End theta */
- /* End theta */
+     for(h=0; h<=nhstepm-1; h++)
-      trgradg =ma3x(0,nhstepm,1,nlstate*nlstate,1,npar);
-      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(i=1;i<=nlstate*nlstate;i++)
+      for(ij=1;ij<=nlstate*nlstate;ij++)
-       for(j=1;j<=nlstate*nlstate;j++)
+       for(ji=1;ji<=nlstate*nlstate;ji++)
-         varhe[i][j][(int)age] =0.;
+         varhe[ij][ji][(int)age] =0.;
       printf("%d|",(int)age);fflush(stdout);
       fprintf(ficlog,"%d|",(int)age);fflush(ficlog);
- Line 2457  void evsij(char fileres[], double ***eij
+ Line 3236  void evsij(char fileres[], double ***eij
        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(i=1;i<=nlstate*nlstate;i++)
+         for(ij=1;ij<=nlstate*nlstate;ij++)
-           for(j=1;j<=nlstate*nlstate;j++)
+           for(ji=1;ji<=nlstate*nlstate;ji++)
-             varhe[i][j][(int)age] += doldm[i][j]*hf*hf;
+             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] += (p3mat[i][j][h]+p3mat[i][j][h+1])/2.0*hf;
+           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]);*/
+           /* 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 );
+     fprintf(ficresstdeij,"%3.0f",age );
-     cptj=0;
+     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++;
+         cptj= (j-1)*nlstate+i;
-         fprintf(ficreseij," %9.4f (%.4f)", eij[i][j][(int)age], sqrt(varhe[cptj][cptj][(int)age]) );
+         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(ficreseij,"\n");
+     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(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
    }
+   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);
- Line 2550  void varevsij(char optionfilefiname[], d
+ Line 3351  void varevsij(char optionfilefiname[], d
    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);
-   fprintf(ficresprobmorprev, "#Local time at start: %s", strstart);
+   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++){
- Line 2565  void varevsij(char optionfilefiname[], d
+ Line 3366  void varevsij(char optionfilefiname[], d
    fprintf(fichtm,"\n<br>%s  <br>\n",digitp);
  /*   } */
    varppt = matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
-  fprintf(ficresvij, "#Local time at start: %s", strstart);
+   pstamp(ficresvij);
-   fprintf(ficresvij,"# Variance and covariance of health expectancies e.j \n#  (weighted average of eij where weights are the stable prevalence in health states i\n");
+   fprintf(ficresvij,"# 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," Cov(e.%1d, e.%1d)",i,j);
    fprintf(ficresvij,"\n");
    xp=vector(1,npar);
- Line 2592  void varevsij(char optionfilefiname[], d
+ Line 3397  void varevsij(char optionfilefiname[], d
    /* 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
+      Look at function hpijx to understand why (it is linked to memory size questions) */
-      and note for a fixed period like k years */
    /* We decided (b) to get a life expectancy respecting the most precise curvature of the
       survival function given by stepm (the optimization length). Unfortunately it
       means that if the survival funtion is printed every two years of age and if
- Line 2659  void varevsij(char optionfilefiname[], d
+ Line 3463  void varevsij(char optionfilefiname[], d
          }
        }
-       for(j=1; j<= nlstate; j++){
+       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];
- Line 2769  void varevsij(char optionfilefiname[], d
+ Line 3573  void varevsij(char optionfilefiname[], d
    free_vector(gmp,nlstate+1,nlstate+ndeath);
    free_matrix(gradgp,1,npar,nlstate+1,nlstate+ndeath);
    free_matrix(trgradgp,nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
-   fprintf(ficgp,"\nset noparametric;set nolabel; set ter png small;set size 0.65, 0.65");
+   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; set nolog x;set xlabel \"Age\"; set ylabel \"Force of mortality (year-1)\";");
+   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 1 ",subdirf(fileresprobmorprev));
+   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 2 ",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 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);
- Line 2811  void varprevlim(char fileres[], double *
+ Line 3615  void varprevlim(char fileres[], double *
    double **gradg, **trgradg;
    double age,agelim;
    int theta;
-   fprintf(ficresvpl, "#Local time at start: %s", strstart);
-   fprintf(ficresvpl,"# Standard deviation of stable prevalences \n");
+   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);
- Line 2886  void varprob(char optionfilefiname[], do
+ Line 3691  void varprob(char optionfilefiname[], do
    int i, j=0,  i1, k1, l1, t, tj;
    int k2, l2, j1,  z1;
    int k=0,l, cptcode;
-   int first=1, first1;
+   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];
+   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");
- Line 2926  void varprob(char optionfilefiname[], do
+ Line 3730  void varprob(char optionfilefiname[], do
    fprintf(ficlog,"Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);
    printf("and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);
    fprintf(ficlog,"and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);
-   fprintf(ficresprob, "#Local time at start: %s", strstart);
+   pstamp(ficresprob);
    fprintf(ficresprob,"#One-step probabilities and stand. devi in ()\n");
    fprintf(ficresprob,"# Age");
-   fprintf(ficresprobcov, "#Local time at start: %s", strstart);
+   pstamp(ficresprobcov);
    fprintf(ficresprobcov,"#One-step probabilities and covariance matrix\n");
    fprintf(ficresprobcov,"# Age");
-   fprintf(ficresprobcor, "#Local time at start: %s", strstart);
+   pstamp(ficresprobcor);
    fprintf(ficresprobcor,"#One-step probabilities and correlation matrix\n");
-   fprintf(ficresprobcov,"# Age");
+   fprintf(ficresprobcor,"# Age");
    for(i=1; i<=nlstate;i++)
- Line 2947  void varprob(char optionfilefiname[], do
+ Line 3751  void varprob(char optionfilefiname[], do
    fprintf(ficresprobcov,"\n");
    fprintf(ficresprobcor,"\n");
   */
-  xp=vector(1,npar);
+   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);
- Line 2972  standard deviations wide on each axis. <
+ Line 3776  standard deviations wide on each axis. <
  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=cptcoveff; */
+   tj = (int) pow(2,cptcoveff);
    if (cptcovn<1) {tj=1;ncodemax[1]=1;}
    j1=0;
-   for(t=1; t<=tj;t++){
+   for(j1=1; j1<=tj;j1++){
-     for(i1=1; i1<=ncodemax[t];i1++){
+     /*for(i1=1; i1<=ncodemax[t];i1++){ */
-       j1++;
+     /*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]]);
- Line 3000  To be simple, these graphs help to under
+ Line 3805  To be simple, these graphs help to under
          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]]];
+           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]]];
-         gradg=matrix(1,npar,1,(nlstate)*(nlstate+ndeath));
-         trgradg=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);
-         gp=vector(1,(nlstate)*(nlstate+ndeath));
-         gm=vector(1,(nlstate)*(nlstate+ndeath));
          for(theta=1; theta <=npar; theta++){
            for(i=1; i<=npar; i++)
- Line 3050  To be simple, these graphs help to under
+ Line 3860  To be simple, these graphs help to under
          matprod2(dnewm,trgradg,1,(nlstate)*(nlstate+ndeath),1,npar,1,npar,matcov);
          matprod2(doldm,dnewm,1,(nlstate)*(nlstate+ndeath),1,npar,1,(nlstate)*(nlstate+ndeath),gradg);
-         free_vector(gp,1,(nlstate+ndeath)*(nlstate+ndeath));
-         free_vector(gm,1,(nlstate+ndeath)*(nlstate+ndeath));
-         free_matrix(trgradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);
-         free_matrix(gradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);
          pmij(pmmij,cov,ncovmodel,x,nlstate);
- Line 3087  To be simple, these graphs help to under
+ Line 3893  To be simple, these graphs help to under
          i=0;
          for (k=1; k<=(nlstate);k++){
            for (l=1; l<=(nlstate+ndeath);l++){
-             i=i++;
+             i++;
              fprintf(ficresprobcov,"\n%d %d-%d",(int)age,k,l);
              fprintf(ficresprobcor,"\n%d %d-%d",(int)age,k,l);
              for (j=1; j<=i;j++){
+               /* 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,"\nset noparametric;unset label");
+         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);
- Line 3110  To be simple, these graphs help to under
+ Line 3921  To be simple, these graphs help to under
        */
        /* Drawing ellipsoids of confidence of two variables p(k1-l1,k2-l2)*/
-       first1=1;
+       first1=1;first2=2;
        for (k2=1; k2<=(nlstate);k2++){
          for (l2=1; l2<=(nlstate+ndeath);l2++){
            if(l2==k2) continue;
- Line 3131  To be simple, these graphs help to under
+ Line 3942  To be simple, these graphs help to under
                    /* 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 */
- Line 3150  To be simple, these graphs help to under
+ Line 3971  To be simple, these graphs help to under
                      first=0;
                      fprintf(ficgp,"\nset parametric;unset label");
                      fprintf(ficgp,"\nset log y;set log x; set xlabel \"p%1d%1d (year-1)\";set ylabel \"p%1d%1d (year-1)\"",k1,l1,k2,l2);
-                     fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65");
+                     fprintf(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,\
- Line 3181  To be simple, these graphs help to under
+ Line 4002  To be simple, these graphs help to under
            } /* k12 */
          } /*l1 */
        }/* k1 */
-     } /* loop covariates */
+       /* } /* 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);
- Line 3203  void printinghtml(char fileres[], char t
+ Line 4026  void printinghtml(char fileres[], char t
                    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 \
+    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 \
+    <li><a href='#secondorder'>Result files (second order (variance)</a>\n \
  </ul>");
-    fprintf(fichtm,"<ul><li><h4><a name="firstorder">Result files (first order: no variance)</a></h4>\n \
+    fprintf(fichtm,"<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,"\
-  - Stable prevalence in each health state: <a href=\"%s\">%s</a> <br>\n",
+  - Period (stable) prevalence in each health state: <a href=\"%s\">%s</a> <br>\n",
             subdirf2(fileres,"pl"),subdirf2(fileres,"pl"));
     fprintf(fichtm,"\
-  - Life expectancies by age and initial health status (estepm=%2d months): \
+  - (a) 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</li>",
+    <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=cptcoveff;
+  m=pow(2,cptcoveff);
   if (cptcovn < 1) {m=1;ncodemax[1]=1;}
   jj1=0;
- Line 3236  fprintf(fichtm," \n<ul><li><b>Graphs</b>
+ Line 4062  fprintf(fichtm," \n<ul><li><b>Graphs</b>
         fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");
       }
       /* Pij */
-      fprintf(fichtm,"<br>- Pij or Conditional probabilities to be observed in state j being in state i, %d (stepm) months before: %s%d1.png<br> \
+      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%d1.png\">",stepm,subdirf2(optionfilefiname,"pe"),jj1,subdirf2(optionfilefiname,"pe"),jj1);
+ <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: %s%d2.png<br> \
+  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%d2.png\">",stepm,subdirf2(optionfilefiname,"pe"),jj1,subdirf2(optionfilefiname,"pe"),jj1);
+ <img src=\"%s%d_2.png\">",stepm,subdirf2(optionfilefiname,"pe"),jj1,subdirf2(optionfilefiname,"pe"),jj1,subdirf2(optionfilefiname,"pe"),jj1);
-        /* Stable prevalence in each health state */
+        /* Period (stable) prevalence in each health state */
-        for(cpt=1; cpt<nlstate;cpt++){
+        for(cpt=1; cpt<=nlstate;cpt++){
-          fprintf(fichtm,"<br>- Stable prevalence in each health state : p%s%d%d.png<br> \
+          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\">",subdirf2(optionfilefiname,"p"),cpt,jj1,subdirf2(optionfilefiname,"p"),cpt,jj1);
+ <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>- Health life expectancies by age and initial health state (%d): %s%d%d.png <br> \
+         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,subdirf2(optionfilefiname,"exp"),cpt,jj1,subdirf2(optionfilefiname,"exp"),cpt,jj1);
+ <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 */
- Line 3257  fprintf(fichtm," \n<ul><li><b>Graphs</b>
+ Line 4083  fprintf(fichtm," \n<ul><li><b>Graphs</b>
   fprintf(fichtm,"\
- \n<br><li><h4> <a name="secondorder">Result files (second order: variances)</a></h4>\n\
+ \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",
- Line 3270  fprintf(fichtm," \n<ul><li><b>Graphs</b>
+ Line 4096  fprintf(fichtm," \n<ul><li><b>Graphs</b>
   - Correlation matrix of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
           subdirf2(fileres,"probcor"),subdirf2(fileres,"probcor"));
   fprintf(fichtm,"\
-  - Variances and covariances of life expectancies by age and initial health status (estepm=%d months): <a href=\"%s\">%s</a><br>\n",
+  - 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,"\
-  - Health expectancies with their variances (no covariance): <a href=\"%s\">%s</a> <br>\n",
+  - 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",
-          subdirf2(fileres,"t"),subdirf2(fileres,"t"));
+          estepm, subdirf2(fileres,"t"),subdirf2(fileres,"t"));
   fprintf(fichtm,"\
-  - Standard deviation of stable prevalences: <a href=\"%s\">%s</a> <br>\n",\
+  - 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 */
- Line 3288  fprintf(fichtm," \n<ul><li><b>Graphs</b>
+ Line 4122  fprintf(fichtm," \n<ul><li><b>Graphs</b>
   fflush(fichtm);
   fprintf(fichtm," <ul><li><b>Graphs</b></li><p>");
-  m=cptcoveff;
+  m=pow(2,cptcoveff);
   if (cptcovn < 1) {m=1;ncodemax[1]=1;}
   jj1=0;
- Line 3303  fprintf(fichtm," \n<ul><li><b>Graphs</b>
+ Line 4137  fprintf(fichtm," \n<ul><li><b>Graphs</b>
       }
       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>\
+ 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);
+ <img src=\"%s%d_%d.png\">",cpt,subdirf2(optionfilefiname,"v"),cpt,jj1,subdirf2(optionfilefiname,"v"),cpt,jj1);
       }
       fprintf(fichtm,"\n<br>- Total life expectancy by age and \
- health expectancies in states (1) and (2): %s%d.png<br>\
+ 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 */
- Line 3319  health expectancies in states (1) and (2
+ Line 4156  health expectancies in states (1) and (2
  void printinggnuplot(char fileres[], char optionfilefiname[], double ageminpar, double agemaxpar, double fage , char pathc[], double p[]){
    char dirfileres[132],optfileres[132];
-   int m,cpt,k1,i,k,j,jk,k2,k3,ij,l;
+   int m0,cpt=0,k1=0,i=0,k=0,j=0,jk=0,k2=0,k3=0,ij=0,l=0;
-   int ng;
+   int ng=0;
  /*   if((ficgp=fopen(optionfilegnuplot,"a"))==NULL) { */
  /*     printf("Problem with file %s",optionfilegnuplot); */
  /*     fprintf(ficlog,"Problem with file %s",optionfilegnuplot); */
- Line 3334  void printinggnuplot(char fileres[], cha
+ Line 4171  void printinggnuplot(char fileres[], cha
    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 ++) {
+     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,"\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,"\n#set out \"v%s%d_%d.png\" \n",optionfilefiname,cpt,k1);
       fprintf(ficgp,"set xlabel \"Age\" \n\
  set ylabel \"Probability\" \n\
- set ter png small\n\
+ set ter png small size 320, 240\n\
- set size 0.65,0.65\n\
  plot [%.f:%.f] \"%s\" every :::%d::%d u 1:2 \"\%%lf",ageminpar,fage,subdirf2(fileres,"vpl"),k1-1,k1-1);
       for (i=1; i<= nlstate ; i ++) {
         if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");
-        else fprintf(ficgp," \%%*lf (\%%*lf)");
+        else        fprintf(ficgp," \%%*lf (\%%*lf)");
       }
-      fprintf(ficgp,"\" t\"Stable prevalence\" w l 0,\"%s\" every :::%d::%d u 1:($2+1.96*$3) \"\%%lf",subdirf2(fileres,"vpl"),k1-1,k1-1);
+      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 1,\"%s\" every :::%d::%d u 1:($2-1.96*$3) \"\%%lf",subdirf2(fileres,"vpl"),k1-1,k1-1);
+      fprintf(ficgp,"\" t\"95\%% CI\" w l lt 1,\"%s\" every :::%d::%d u 1:($2-1.96*$3) \"\%%lf",subdirf2(fileres,"vpl"),k1-1,k1-1);
       for (i=1; i<= nlstate ; i ++) {
         if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");
         else fprintf(ficgp," \%%*lf (\%%*lf)");
       }
-      fprintf(ficgp,"\" t\"\" w l 1,\"%s\" every :::%d::%d u 1:($%d) t\"Observed prevalence \" w l 2",subdirf2(fileres,"p"),k1-1,k1-1,2+4*(cpt-1));
+      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\nset size 0.65,0.65\nplot [%.f:%.f] ",ageminpar,fage);
+     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;
- Line 3381  plot [%.f:%.f] \"%s\" every :::%d::%d u
+ Line 4218  plot [%.f:%.f] \"%s\" every :::%d::%d u
          if (j==i) fprintf(ficgp," \%%lf (\%%lf)");
          else fprintf(ficgp," \%%*lf (\%%*lf)");
        }
-       fprintf(ficgp,"\" t\"\" w l 0,");
+       fprintf(ficgp,"\" t\"\" w l lt 0,");
        fprintf(ficgp,"\"%s\" every :::%d::%d u 1:($2+$3*2) \"\%%lf",subdirf2(fileres,"t"),k1-1,k1-1);
        for (j=1; j<= nlstate+1 ; j ++) {
          if (j==i) fprintf(ficgp," \%%lf (\%%lf)");
          else fprintf(ficgp," \%%*lf (\%%*lf)");
        }
-       if (i== (nlstate+1)) fprintf(ficgp,"\" t\"\" w l 0");
+       if (i== (nlstate+1)) fprintf(ficgp,"\" t\"\" w l lt 0");
-       else fprintf(ficgp,"\" t\"\" w l 0,");
+       else fprintf(ficgp,"\" t\"\" w l lt 0,");
      }
    }
- Line 3396  plot [%.f:%.f] \"%s\" every :::%d::%d u
+ Line 4233  plot [%.f:%.f] \"%s\" every :::%d::%d u
    for (k1=1; k1<= m ; k1 ++) {
      for (cpt=1; cpt<= nlstate ; cpt ++) {
-       k=2+nlstate*(2*cpt-2);
+       /*       k=2+nlstate*(2*cpt-2); */
+       k=2+(nlstate+1)*(cpt-1);
        fprintf(ficgp,"\nset out \"%s%d%d.png\" \n",subdirf2(optionfilefiname,"exp"),cpt,k1);
-       fprintf(ficgp,"set ter png small\n\
+       fprintf(ficgp,"set ter png small size 320, 240\n\
- set size 0.65,0.65\n\
  plot [%.f:%.f] \"%s\" every :::%d::%d u 1:%d t \"e%d1\" w l",ageminpar,fage,subdirf2(fileres,"e"),k1-1,k1-1,k,cpt);
        /*fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d-2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);
          for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");
- Line 3410  plot [%.f:%.f] \"%s\" every :::%d::%d u
+ Line 4247  plot [%.f:%.f] \"%s\" every :::%d::%d u
        */
        for (i=1; i< nlstate ; i ++) {
-         fprintf(ficgp," ,\"%s\" every :::%d::%d u 1:%d t \"e%d%d\" w l",subdirf2(fileres,"e"),k1-1,k1-1,k+2*i,cpt,i+1);
+         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 (k1=1; k1<= m ; k1 ++) { /* For each multivariate if any */
-     for (cpt=1; cpt<=nlstate ; cpt ++) {
+     for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state */
        k=3;
-       fprintf(ficgp,"\nset out \"%s%d%d.png\" \n",subdirf2(optionfilefiname,"p"),cpt,k1);
+       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\nset size 0.65,0.65\n\
+ set ter png small size 320, 240\n\
  unset log y\n\
- plot [%.f:%.f] \"%s\" u ($1==%d ? ($3):1/0):($%d/($%d",ageminpar,agemaxpar,subdirf2(fileres,"pij"),k1,k+cpt+1,k+1);
+ plot [%.f:%.f]  ", ageminpar, agemaxpar);
+       for (i=1; i<= nlstate ; i ++){
-       for (i=1; i< nlstate ; i ++)
+         if(i==1)
-         fprintf(ficgp,"+$%d",k+i+1);
+           fprintf(ficgp,"\"%s\"",subdirf2(fileres,"pij"));
-       fprintf(ficgp,")) t\"prev(%d,%d)\" w l",cpt,cpt+1);
+         else
+           fprintf(ficgp,", '' ");
-       l=3+(nlstate+ndeath)*cpt;
+         l=(nlstate+ndeath)*(i-1)+1;
-       fprintf(ficgp,",\"%s\" u ($1==%d ? ($3):1/0):($%d/($%d",subdirf2(fileres,"pij"),k1,l+cpt+1,l+1);
+         fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l);
-       for (i=1; i< nlstate ; i ++) {
+         for (j=1; j<= (nlstate-1) ; j ++)
-         l=3+(nlstate+ndeath)*cpt;
+           fprintf(ficgp,"+$%d",k+l+j);
-         fprintf(ficgp,"+$%d",l+i+1);
+         fprintf(ficgp,")) t \"prev(%d,%d)\" w l",i,cpt);
-       }
+       } /* nlstate */
-       fprintf(ficgp,")) t\"prev(%d,%d)\" w l\n",cpt+1,cpt+1);
+       fprintf(ficgp,"\n");
-     }
+     } /* end cpt state*/
-   }
+   } /* end covariate */
    /* proba elementaires */
    for(i=1,jk=1; i <=nlstate; i++){
- Line 3452  plot [%.f:%.f] \"%s\" u ($1==%d ? ($3):1
+ Line 4292  plot [%.f:%.f] \"%s\" u ($1==%d ? ($3):1
        }
      }
     }
+   /*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);
+        fprintf(ficgp,"\nset out \"%s%d_%d.png\" \n",subdirf2(optionfilefiname,"pe"),jk,ng);
         if (ng==2)
           fprintf(ficgp,"\nset ylabel \"Quasi-incidence per year\"\n");
         else
           fprintf(ficgp,"\nset title \"Probability\"\n");
-        fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65\nset log y\nplot  [%.f:%.f] ",ageminpar,agemaxpar);
+        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;
- Line 3470  plot [%.f:%.f] \"%s\" u ($1==%d ? ($3):1
+ Line 4310  plot [%.f:%.f] \"%s\" u ($1==%d ? ($3):1
                 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;
+              ij=1;/* To be checked else nbcode[0][0] wrong */
               for(j=3; j <=ncovmodel; j++) {
-                if(((j-2)==Tage[ij]) &&(ij <=cptcovage)) {
+                /* 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]]]);
+                /*        /\*fprintf(ficgp,"+p%d*%d*x",i+j-1,nbcode[Tvar[j-2]][codtab[jk][Tvar[j-2]]]);*\/ */
-                  ij++;
+                /*        ij++; */
-                }
+                /* } */
-                else
+                /* else */
                   fprintf(ficgp,"+p%d*%d",i+j-1,nbcode[Tvar[j-2]][codtab[jk][j-2]]);
               }
               fprintf(ficgp,")/(1");
- Line 3485  plot [%.f:%.f] \"%s\" u ($1==%d ? ($3):1
+ Line 4325  plot [%.f:%.f] \"%s\" u ($1==%d ? ($3):1
                 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)) {
+                  /* 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]]]);
+                  /*   fprintf(ficgp,"+p%d*%d*x",k3+(k1-1)*ncovmodel+1+j-2,nbcode[Tvar[j-2]][codtab[jk][Tvar[j-2]]]); */
-                    ij++;
+                  /*   ij++; */
-                  }
+                  /* } */
-                  else
+                  /* else */
                     fprintf(ficgp,"+p%d*%d",k3+(k1-1)*ncovmodel+1+j-2,nbcode[Tvar[j-2]][codtab[jk][j-2]]);
                 }
                 fprintf(ficgp,")");
- Line 3502  plot [%.f:%.f] \"%s\" u ($1==%d ? ($3):1
+ Line 4342  plot [%.f:%.f] \"%s\" u ($1==%d ? ($3):1
         } /* end k2 */
       } /* end jk */
     } /* end ng */
+  avoid:
     fflush(ficgp);
  }  /* end gnuplot */
- Line 3971  double gompertz(double x[])
+ Line 4812  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;*/
- Line 3983  double gompertz(double x[])
+ Line 4825  double gompertz(double x[])
    for (i=1;i<=imx ; i++)
      {
-       if (cens[i]==1 & wav[i]>1)
+       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)
+       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 && 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]);*/
        }
- Line 4001  double gompertz(double x[])
+ Line 4844  double gompertz(double x[])
    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[],\
- Line 4042  void printinggnuplotmort(char fileres[],
+ Line 4926  void printinggnuplotmort(char fileres[],
    strcpy(optfileres,"vpl");
    fprintf(ficgp,"set out \"graphmort.png\"\n ");
    fprintf(ficgp,"set xlabel \"Age\"\n set ylabel \"Force of mortality (per year)\" \n ");
-   fprintf(ficgp, "set ter png small\n set log y\n");
+   fprintf(ficgp, "set ter png small size 320, 240\n set log y\n");
-   fprintf(ficgp, "set size 0.65,0.65\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)    {
- /**************** Main Program *****************/
+     printf("Problem while opening datafile: %s\n", datafile);return 1;
- /***********************************************/
+     fprintf(ficlog,"Problem while opening datafile: %s\n", datafile);return 1;
+   }
- int main(int argc, char *argv[])
+   i=1;
- {
+   linei=0;
-   int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav);
+   while ((fgets(line, MAXLINE, fic) != NULL) &&((i >= firstobs) && (i <=lastobs))) {
-   int i,j, k, n=MAXN,iter,m,size=100,cptcode, cptcod;
+     linei=linei+1;
-   int jj, ll, li, lj, lk, imk;
+     for(j=strlen(line); j>=0;j--){  /* Untabifies line */
-   int numlinepar=0; /* Current linenumber of parameter file */
+       if(line[j] == '\t')
-   int itimes;
+         line[j] = ' ';
-   int NDIM=2;
+     }
+     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];
+     }
-   char ca[32], cb[32], cc[32];
+     for (j=maxwav;j>=1;j--){
-   /*  FILE *fichtm; *//* Html File */
+       cutv(stra, strb, line, ' ');
-   /* FILE *ficgp;*/ /*Gnuplot File */
+       if(strb[0]=='.') { /* Missing status */
-   double agedeb, agefin,hf;
+         lval=-1;
-   double ageminpar=1.e20,agemin=1.e20, agemaxpar=-1.e20, agemax=-1.e20;
+       }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 */
-   double fret;
+   *imax=i-1; /* Number of individuals */
-   double **xi,tmp,delta;
+   fclose(fic);
+   return (0);
+   endread:
+     printf("Exiting readdata: ");
+     fclose(fic);
+     return (1);
-   double dum; /* Dummy variable */
-   double ***p3mat;
-   double ***mobaverage;
-   int *indx;
-   char line[MAXLINE], linepar[MAXLINE];
-   char path[MAXLINE],pathc[MAXLINE],pathcd[MAXLINE],pathtot[MAXLINE],model[MAXLINE];
-   char pathr[MAXLINE], pathimach[MAXLINE];
-   int firstobs=1, lastobs=10;
-   int sdeb, sfin; /* Status at beginning and end */
-   int c,  h , cpt,l;
-   int ju,jl, mi;
-   int i1,j1, k1,k2,k3,jk,aa,bb, stepsize, ij;
-   int jnais,jdc,jint4,jint1,jint2,jint3,**outcome,*tab;
-   int mobilavproj=0 , prevfcast=0 ; /* moving average of prev, If prevfcast=1 prevalence projection */
-   int mobilav=0,popforecast=0;
-   int hstepm, nhstepm;
-   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 *severity;
-   double ***param; /* Matrix of parameters */
-   double  *p;
-   double **matcov; /* Matrix of covariance */
-   double ***delti3; /* Scale */
-   double *delti; /* Scale */
-   double ***eij, ***vareij;
-   double **varpl; /* Variances of prevalence limits by age */
-   double *epj, vepp;
-   double kk1, kk2;
-   double dateprev1, dateprev2,jproj1=1,mproj1=1,anproj1=2000,jproj2=1,mproj2=1,anproj2=2000;
-   double **ximort;
-   char *alph[]={"a","a","b","c","d","e"}, str[4];
-   int *dcwave;
-   char z[1]="c", occ;
+ }
+ 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];
-   char stra[80], strb[80], strc[80], strd[80],stre[80],modelsav[80];
+   /*removespace(model);*/
-   char strstart[80], *strt, strtend[80];
+   if (strlen(model) >1){ /* If there is at least 1 covariate */
-   char *stratrunc;
+     j=0, j1=0, k1=0, k2=-1, ks=0, cptcovn=0;
-   int lstra;
+     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 []
+      */
-   long total_usecs;
+     /* 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 */
- /*   setlocale (LC_ALL, ""); */
+     /*   modelsav=V2+V1+V4+age*V3 strb=age*V3 stra=V2+V1+V4  */
- /*   bindtextdomain (PACKAGE, LOCALEDIR); */
+     /*  k=4 (age*V3) Tvar[k=4]= 3 (from V3) Tage[cptcovage=1]=4 */
- /*   textdomain (PACKAGE); */
+     /*  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);
+   rstart_time = time(NULL);
+   /*  (void) gettimeofday(&start_time,&tzp);*/
+   start_time = *localtime(&rstart_time);
    curr_time=start_time;
-   tm = *localtime(&start_time.tv_sec);
+   /*tml = *localtime(&start_time.tm_sec);*/
-   tmg = *gmtime(&start_time.tv_sec);
+   /* strcpy(strstart,asctime(&tml)); */
-   strcpy(strstart,asctime(&tm));
+   strcpy(strstart,asctime(&start_time));
  /*  printf("Localtime (at start)=%s",strstart); */
- /*  tp.tv_sec = tp.tv_sec +86400; */
+ /*  tp.tm_sec = tp.tm_sec +86400; */
- /*  tm = *localtime(&start_time.tv_sec); */
+ /*  tm = *localtime(&start_time.tm_sec); */
  /*   tmg.tm_year=tmg.tm_year +dsign*dyear; */
  /*   tmg.tm_mon=tmg.tm_mon +dsign*dmonth; */
  /*   tmg.tm_hour=tmg.tm_hour + 1; */
- /*   tp.tv_sec = mktime(&tmg); */
+ /*   tp.tm_sec = mktime(&tmg); */
  /*   strt=asctime(&tmg); */
  /*   printf("Time(after) =%s",strstart);  */
  /*  (void) time (&time_value);
- Line 4157  int main(int argc, char *argv[])
+ Line 5509  int main(int argc, char *argv[])
    printf("\n%s\n%s",version,fullversion);
    if(argc <=1){
      printf("\nEnter the parameter file name: ");
-     scanf("%s",pathtot);
+     fgets(pathr,FILENAMELENGTH,stdin);
+     i=strlen(pathr);
+     if(pathr[i-1]=='\n')
+       pathr[i-1]='\0';
+     i=strlen(pathr);
+     if(pathr[i-1]==' ') /* This may happen when dragging on oS/X! */
+       pathr[i-1]='\0';
+    for (tok = pathr; tok != NULL; ){
+       printf("Pathr |%s|\n",pathr);
+       while ((val = strsep(&tok, "\"" )) != NULL && *val == '\0');
+       printf("val= |%s| pathr=%s\n",val,pathr);
+       strcpy (pathtot, val);
+       if(pathr[0] == '\0') break; /* Dirty */
+     }
    }
    else{
      strcpy(pathtot,argv[1]);
- Line 4167  int main(int argc, char *argv[])
+ Line 5532  int main(int argc, char *argv[])
      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("pathimach=%s, pathtot=%s,\npath=%s,\noptionfile=%s \noptionfilext=%s \noptionfilefiname=%s\n",pathimach,pathtot,path,optionfile,optionfilext,optionfilefiname);
+   printf("\npathtot=%s,\npath=%s,\noptionfile=%s \noptionfilext=%s \noptionfilefiname=%s\n",pathtot,path,optionfile,optionfilext,optionfilefiname);
-   chdir(path);
+   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){
- Line 4200  int main(int argc, char *argv[])
+ Line 5571  int main(int argc, char *argv[])
   path=%s \n\
   optionfile=%s\n\
   optionfilext=%s\n\
-  optionfilefiname=%s\n",pathimach,pathtot,path,optionfile,optionfilext,optionfilefiname);
+  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)); */
+ /*   printf("Elapsed time %d\n", asc_diff_time(curr_time.tm_sec-start_time.tm_sec,tmpout)); */
    /* */
    strcpy(fileres,"r");
- Line 4216  int main(int argc, char *argv[])
+ Line 5587  int main(int argc, char *argv[])
    /*---------arguments file --------*/
    if((ficpar=fopen(optionfile,"r"))==NULL)    {
-     printf("Problem with optionfile %s\n",optionfile);
+     printf("Problem with optionfile '%s' with errno='%s'\n",optionfile,strerror(errno));
-     fprintf(ficlog,"Problem with optionfile %s\n",optionfile);
+     fprintf(ficlog,"Problem with optionfile '%s' with errno='%s'\n",optionfile,strerror(errno));
      fflush(ficlog);
-     goto end;
+     /* goto end; */
+     exit(70);
    }
- Line 4239  int main(int argc, char *argv[])
+ Line 5611  int main(int argc, char *argv[])
      ungetc(c,ficpar);
      fgets(line, MAXLINE, ficpar);
      numlinepar++;
-     puts(line);
+     fputs(line,stdout);
      fputs(line,ficparo);
      fputs(line,ficlog);
    }
- Line 4255  int main(int argc, char *argv[])
+ Line 5627  int main(int argc, char *argv[])
      ungetc(c,ficpar);
      fgets(line, MAXLINE, ficpar);
      numlinepar++;
-     puts(line);
+     fputs(line, stdout);
+     //puts(line);
      fputs(line,ficparo);
      fputs(line,ficlog);
    }
    ungetc(c,ficpar);
-   covar=matrix(0,NCOVMAX,1,n);
+   covar=matrix(0,NCOVMAX,1,n);  /**< used in readdata */
-   cptcovn=0; /*Number of covariates, i.e. number of '+' in model statement*/
+   cptcovn=0; /*Number of covariates, i.e. number of '+' in model statement plus one, indepently of n in Vn*/
-   if (strlen(model)>1) cptcovn=nbocc(model,'+')+1;
+   /* v1+v2+v3+v2*v4+v5*age makes cptcovn = 5
+      v1+v2*age+v2*v3 makes cptcovn = 3
-   ncovmodel=2+cptcovn; /*Number of variables = cptcovn + intercept + age */
+   */
+   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 */
-   npar= (nlstate+ndeath-1)*nlstate*ncovmodel; /* Number of parameters*/
+   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)*/
- Line 4280  int main(int argc, char *argv[])
+ Line 5664  int main(int argc, char *argv[])
      free_ma3x(delti3,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel);
      fclose (ficparo);
      fclose (ficlog);
+     goto end;
      exit(0);
    }
    else if(mle==-3) {
- Line 4290  int main(int argc, char *argv[])
+ Line 5675  int main(int argc, char *argv[])
      matcov=matrix(1,npar,1,npar);
    }
    else{
-     /* Read guess parameters */
+     /* Read guessed parameters */
      /* Reads comments: lines beginning with '#' */
      while((c=getc(ficpar))=='#' && c!= EOF){
        ungetc(c,ficpar);
        fgets(line, MAXLINE, ficpar);
        numlinepar++;
-       puts(line);
+       fputs(line,stdout);
        fputs(line,ficparo);
        fputs(line,ficlog);
      }
- Line 4310  int main(int argc, char *argv[])
+ Line 5695  int main(int argc, char *argv[])
          j++;
          fscanf(ficpar,"%1d%1d",&i1,&j1);
          if ((i1 != i) && (j1 != j)){
-           printf("Error in line parameters number %d, %1d%1d instead of %1d%1d \n",numlinepar, i,j, i1, j1);
+           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);
- Line 4337  int main(int argc, char *argv[])
+ Line 5724  int main(int argc, char *argv[])
      }
      fflush(ficlog);
+     /* Reads scales values */
      p=param[1][1];
      /* Reads comments: lines beginning with '#' */
- Line 4345  int main(int argc, char *argv[])
+ Line 5732  int main(int argc, char *argv[])
        ungetc(c,ficpar);
        fgets(line, MAXLINE, ficpar);
        numlinepar++;
-       puts(line);
+       fputs(line,stdout);
        fputs(line,ficparo);
        fputs(line,ficlog);
      }
- Line 4376  int main(int argc, char *argv[])
+ Line 5763  int main(int argc, char *argv[])
      }
      fflush(ficlog);
+     /* Reads covariance matrix */
      delti=delti3[1][1];
- Line 4386  int main(int argc, char *argv[])
+ Line 5774  int main(int argc, char *argv[])
        ungetc(c,ficpar);
        fgets(line, MAXLINE, ficpar);
        numlinepar++;
-       puts(line);
+       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);
+       fscanf(ficpar,"%s",str);
        if(mle==1)
          printf("%s",str);
        fprintf(ficlog,"%s",str);
- Line 4426  int main(int argc, char *argv[])
+ Line 5817  int main(int argc, char *argv[])
      /*-------- Rewriting parameter file ----------*/
      strcpy(rfileres,"r");    /* "Rparameterfile */
      strcat(rfileres,optionfilefiname);    /* Parameter file first name*/
      strcat(rfileres,".");    /* */
      strcat(rfileres,optionfilext);    /* Other files have txt extension */
      if((ficres =fopen(rfileres,"w"))==NULL) {
        printf("Problem writing new parameter file: %s\n", fileres);goto end;
        fprintf(ficlog,"Problem writing new parameter file: %s\n", fileres);goto end;
-     }
-     fprintf(ficres,"#%s\n",version);
-   }    /* End of mle != -3 */
-   /*-------- data file ----------*/
-   if((fic=fopen(datafile,"r"))==NULL)    {
-     printf("Problem with datafile: %s\n", datafile);goto end;
-     fprintf(ficlog,"Problem with datafile: %s\n", datafile);goto end;
-   }
-   n= lastobs;
-   severity = vector(1,maxwav);
-   outcome=imatrix(1,maxwav+1,1,n);
-   num=lvector(1,n);
-   moisnais=vector(1,n);
-   annais=vector(1,n);
-   moisdc=vector(1,n);
-   andc=vector(1,n);
-   agedc=vector(1,n);
-   cod=ivector(1,n);
-   weight=vector(1,n);
-   for(i=1;i<=n;i++) weight[i]=1.0; /* Equal weights, 1 by default */
-   mint=matrix(1,maxwav,1,n);
-   anint=matrix(1,maxwav,1,n);
-   s=imatrix(1,maxwav+1,1,n);
-   tab=ivector(1,NCOVMAX);
-   ncodemax=ivector(1,8);
-   i=1;
-   while (fgets(line, MAXLINE, fic) != NULL)    {
-     if ((i >= firstobs) && (i <=lastobs)) {
-       for(j=0; line[j] != '\n';j++){  /* Untabifies line */
-         if(line[j] == '\t')
-           line[j] = ' ';
-       }
-       for (j=maxwav;j>=1;j--){
-         cutv(stra, strb,line,' '); s[j][i]=atoi(strb);
-         strcpy(line,stra);
-         cutv(stra, strb,line,'/'); anint[j][i]=(double)(atoi(strb)); strcpy(line,stra);
-         cutv(stra, strb,line,' '); mint[j][i]=(double)(atoi(strb)); strcpy(line,stra);
-       }
-       cutv(stra, strb,line,'/'); andc[i]=(double)(atoi(strb)); strcpy(line,stra);
-       cutv(stra, strb,line,' '); moisdc[i]=(double)(atoi(strb)); strcpy(line,stra);
-       cutv(stra, strb,line,'/'); annais[i]=(double)(atoi(strb)); strcpy(line,stra);
-       cutv(stra, strb,line,' '); moisnais[i]=(double)(atoi(strb)); strcpy(line,stra);
-       cutv(stra, strb,line,' '); weight[i]=(double)(atoi(strb)); strcpy(line,stra);
-       for (j=ncovcol;j>=1;j--){
-         cutv(stra, strb,line,' '); covar[j][i]=(double)(atoi(strb)); strcpy(line,stra);
-       }
-       lstra=strlen(stra);
-       if(lstra > 9){ /* More than 2**32 or max of what printf can write with %ld */
-         stratrunc = &(stra[lstra-9]);
-         num[i]=atol(stratrunc);
-       }
-       else
-         num[i]=atol(stra);
-       /*if((s[2][i]==2) && (s[3][i]==-1)&&(s[4][i]==9)){
-         printf("%ld %.lf %.lf %.lf %.lf/%.lf %.lf/%.lf %.lf/%.lf %d %.lf/%.lf %d %.lf/%.lf %d %.lf/%.lf %d\n",num[i],(covar[1][i]), (covar[2][i]),weight[i], (moisnais[i]), (annais[i]), (moisdc[i]), (andc[i]), (mint[1][i]), (anint[1][i]), (s[1][i]),  (mint[2][i]), (anint[2][i]), (s[2][i]),  (mint[3][i]), (anint[3][i]), (s[3][i]),  (mint[4][i]), (anint[4][i]), (s[4][i])); ij=ij+1;}*/
-       i=i+1;
-     }
-   }
-   /* printf("ii=%d", ij);
-      scanf("%d",i);*/
-   imx=i-1; /* Number of individuals */
-   /* for (i=1; i<=imx; i++){
-     if ((s[1][i]==3) && (s[2][i]==2)) s[2][i]=3;
-     if ((s[2][i]==3) && (s[3][i]==2)) s[3][i]=3;
-     if ((s[3][i]==3) && (s[4][i]==2)) s[4][i]=3;
-     }*/
-    /*  for (i=1; i<=imx; i++){
-      if (s[4][i]==9)  s[4][i]=-1;
-      printf("%ld %.lf %.lf %.lf %.lf/%.lf %.lf/%.lf %.lf/%.lf %d %.lf/%.lf %d %.lf/%.lf %d %.lf/%.lf %d\n",num[i],(covar[1][i]), (covar[2][i]), (weight[i]), (moisnais[i]), (annais[i]), (moisdc[i]), (andc[i]), (mint[1][i]), (anint[1][i]), (s[1][i]),  (mint[2][i]), (anint[2][i]), (s[2][i]),  (mint[3][i]), (anint[3][i]), (s[3][i]),  (mint[4][i]), (anint[4][i]), (s[4][i]));}*/
-   /* for (i=1; i<=imx; i++) */
-    /*if ((s[3][i]==3) ||  (s[4][i]==3)) weight[i]=0.08;
-      else weight[i]=1;*/
-   /* Calculation of the number of parameters from char model */
-   Tvar=ivector(1,15); /* stores the number n of the covariates in Vm+Vn at 1 and m at 2 */
-   Tprod=ivector(1,15);
-   Tvaraff=ivector(1,15);
-   Tvard=imatrix(1,15,1,2);
-   Tage=ivector(1,15);
-   if (strlen(model) >1){ /* If there is at least 1 covariate */
-     j=0, j1=0, k1=1, k2=1;
-     j=nbocc(model,'+'); /* j=Number of '+' */
-     j1=nbocc(model,'*'); /* j1=Number of '*' */
-     cptcovn=j+1;
-     cptcovprod=j1; /*Number of products */
-     strcpy(modelsav,model);
-     if ((strcmp(model,"age")==0) || (strcmp(model,"age*age")==0)){
-       printf("Error. Non available option model=%s ",model);
-       fprintf(ficlog,"Error. Non available option model=%s ",model);
-       goto end;
-     }
-     /* This loop fills the array Tvar from the string 'model'.*/
-     for(i=(j+1); i>=1;i--){
-       cutv(stra,strb,modelsav,'+'); /* keeps in strb after the last + */
-       if (nbocc(modelsav,'+')==0) strcpy(strb,modelsav); /* and analyzes it */
-       /*      printf("i=%d a=%s b=%s sav=%s\n",i, stra,strb,modelsav);*/
-       /*scanf("%d",i);*/
-       if (strchr(strb,'*')) {  /* Model includes a product */
-         cutv(strd,strc,strb,'*'); /* strd*strc  Vm*Vn (if not *age)*/
-         if (strcmp(strc,"age")==0) { /* Vn*age */
-           cptcovprod--;
-           cutv(strb,stre,strd,'V');
-           Tvar[i]=atoi(stre); /* computes n in Vn and stores in Tvar*/
-           cptcovage++;
-             Tage[cptcovage]=i;
-             /*printf("stre=%s ", stre);*/
-         }
-         else if (strcmp(strd,"age")==0) { /* or age*Vn */
-           cptcovprod--;
-           cutv(strb,stre,strc,'V');
-           Tvar[i]=atoi(stre);
-           cptcovage++;
-           Tage[cptcovage]=i;
-         }
-         else {  /* Age is not in the model */
-           cutv(strb,stre,strc,'V'); /* strc= Vn, stre is n*/
-           Tvar[i]=ncovcol+k1;
-           cutv(strb,strc,strd,'V'); /* strd was Vm, strc is m */
-           Tprod[k1]=i;
-           Tvard[k1][1]=atoi(strc); /* m*/
-           Tvard[k1][2]=atoi(stre); /* n */
-           Tvar[cptcovn+k2]=Tvard[k1][1];
-           Tvar[cptcovn+k2+1]=Tvard[k1][2];
-           for (k=1; k<=lastobs;k++)
-             covar[ncovcol+k1][k]=covar[atoi(stre)][k]*covar[atoi(strc)][k];
-           k1++;
-           k2=k2+2;
-         }
-       }
-       else { /* no more sum */
-         /*printf("d=%s c=%s b=%s\n", strd,strc,strb);*/
-        /*  scanf("%d",i);*/
-       cutv(strd,strc,strb,'V');
-       Tvar[i]=atoi(strc);
-       }
-       strcpy(modelsav,stra);
-       /*printf("a=%s b=%s sav=%s\n", stra,strb,modelsav);
-         scanf("%d",i);*/
-     } /* end of loop + */
-   } /* end model */
-   /*The number n of Vn is stored in Tvar. cptcovage =number of age covariate. Tage gives the position of age. cptcovprod= number of products.
-     If model=V1+V1*age then Tvar[1]=1 Tvar[2]=1 cptcovage=1 Tage[1]=2 cptcovprod=0*/
-   /* printf("tvar1=%d tvar2=%d tvar3=%d cptcovage=%d Tage=%d",Tvar[1],Tvar[2],Tvar[3],cptcovage,Tage[1]);
-   printf("cptcovprod=%d ", cptcovprod);
-   fprintf(ficlog,"cptcovprod=%d ", cptcovprod);
-   scanf("%d ",i);
-   fclose(fic);*/
-     /*  if(mle==1){*/
-   if (weightopt != 1) { /* Maximisation without weights*/
-     for(i=1;i<=n;i++) weight[i]=1.0;
-   }
-     /*-calculation of age at interview from date of interview and age at death -*/
-   agev=matrix(1,maxwav,1,imx);
-   for (i=1; i<=imx; i++) {
-     for(m=2; (m<= maxwav); m++) {
-       if (((int)mint[m][i]== 99) && (s[m][i] <= nlstate)){
-         anint[m][i]=9999;
-         s[m][i]=-1;
-       }
-       if((int)moisdc[i]==99 && (int)andc[i]==9999 && s[m][i]>nlstate){
-         nberr++;
-         printf("Error! Date of death (month %2d and year %4d) of individual %ld on line %d was unknown, you must set an arbitrary year of death or he/she is skipped and results are biased\n",(int)moisdc[i],(int)andc[i],num[i],i);
-         fprintf(ficlog,"Error! Date of death (month %2d and year %4d) of individual %ld on line %d was unknown, you must set an arbitrary year of death or he/she is skipped and results are biased\n",(int)moisdc[i],(int)andc[i],num[i],i);
-         s[m][i]=-1;
-       }
-       if((int)moisdc[i]==99 && (int)andc[i]!=9999 && s[m][i]>nlstate){
-         nberr++;
-         printf("Error! Month of death of individual %ld on line %d was unknown %2d, you should set it otherwise the information on the death is skipped and results are biased.\n",num[i],i,(int)moisdc[i]);
-         fprintf(ficlog,"Error! Month of death of individual %ld on line %d was unknown %f, you should set it otherwise the information on the death is skipped and results are biased.\n",num[i],i,moisdc[i]);
-         s[m][i]=-1; /* We prefer to skip it (and to skip it in version 0.8a1 too */
-       }
-     }
-   }
-   for (i=1; i<=imx; i++)  {
-     agedc[i]=(moisdc[i]/12.+andc[i])-(moisnais[i]/12.+annais[i]);
-     for(m=firstpass; (m<= lastpass); m++){
-       if(s[m][i] >0 || 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(" anint[%d][%d]=%.0f annais[%d]=%.0f, agemax=%.0f\n",m,i,anint[m][i], i,annais[i], agemax);*/
-           }
-           /*agev[m][i]=anint[m][i]-annais[i];*/
-           /*     agev[m][i] = age[i]+2*m;*/
-         }
-         else { /* =9 */
-           agev[m][i]=1;
-           s[m][i]=-1;
-         }
-       }
-       else /*= 0 Unknown */
-         agev[m][i]=1;
      }
+     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
+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);
    }
-   for (i=1; i<=imx; i++)  {
+     /*  if(mle==1){*/
-     for(m=firstpass; (m<=lastpass); m++){
+   if (weightopt != 1) { /* Maximisation without weights. We can have weights different from 1 but want no weight*/
-       if (s[m][i] > (nlstate+ndeath)) {
+     for(i=1;i<=imx;i++) weight[i]=1.0; /* changed to imx */
-         nberr++;
-         printf("Error: on wave %d of individual %d status %d > (nlstate+ndeath)=(%d+%d)=%d\n",m,i,s[m][i],nlstate, ndeath, nlstate+ndeath);
-         fprintf(ficlog,"Error: on wave %d of individual %d status %d > (nlstate+ndeath)=(%d+%d)=%d\n",m,i,s[m][i],nlstate, ndeath, nlstate+ndeath);
-         goto end;
-       }
-     }
    }
-   /*for (i=1; i<=imx; i++){
+     /*-calculation of age at interview from date of interview and age at death -*/
-   for (m=firstpass; (m<lastpass); m++){
+   agev=matrix(1,maxwav,1,imx);
-      printf("%ld %d %.lf %d %d\n", num[i],(covar[1][i]),agev[m][i],s[m][i],s[m+1][i]);
- }
- }*/
+   if(calandcheckages(imx, maxwav, &agemin, &agemax, &nberr, &nbwarn) == 1)
+     goto end;
-   printf("Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, agemin, agemax);
-   fprintf(ficlog,"Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, agemin, agemax);
    agegomp=(int)agemin;
-   free_vector(severity,1,maxwav);
-   free_imatrix(outcome,1,maxwav+1,1,n);
    free_vector(moisnais,1,n);
    free_vector(annais,1,n);
    /* free_matrix(mint,1,maxwav,1,n);
       free_matrix(anint,1,maxwav,1,n);*/
    free_vector(moisdc,1,n);
    free_vector(andc,1,n);
+   /* */
    wav=ivector(1,imx);
    dh=imatrix(1,lastpass-firstpass+1,1,imx);
    bh=imatrix(1,lastpass-firstpass+1,1,imx);
- Line 4711  int main(int argc, char *argv[])
+ Line 5914  int main(int argc, char *argv[])
    /* Concatenates waves */
    concatwav(wav, dh, bh, mw, s, agedc, agev,  firstpass, lastpass, imx, nlstate, stepm);
+   /* */
    /* Routine tricode is to calculate cptcoveff (real number of unique covariates) and to associate covariable number and modality */
-   Tcode=ivector(1,100);
    nbcode=imatrix(0,NCOVMAX,0,NCOVMAX);
    ncodemax[1]=1;
-   if (cptcovn > 0) tricode(Tvar,nbcode,imx);
+   Ndum =ivector(-1,NCOVMAX);
+   if (ncovmodel > 2)
-   codtab=imatrix(1,100,1,10); /* Cross tabulation to get the order of
+     tricode(Tvar,nbcode,imx, Ndum); /**< Fills nbcode[Tvar[j]][l]; */
-                                  the estimations*/
+   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++){
+   for(k=1;k<=cptcoveff; k++){ /* scans any effective covariate */
-     for(i=1; i <=(m/pow(2,k));i++){
+     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(j=1; j <= ncodemax[k]; j++){ /* For each modality of this covariate ncodemax=2*/
-         for(cpt=1; cpt <=(m/pow(2,cptcoveff+1-k)); cpt++){
+         for(cpt=1; cpt <=pow(2,k-1); cpt++){  /* cpt=1 to 8/2**(3+1-1 or 3+1-3) =1 or 4 */
            h++;
-           if (h>m) h=1;codtab[h][k]=j;codtab[h][Tvar[k]]=j;
+           if (h>m)
-           /*  printf("h=%d k=%d j=%d codtab[h][k]=%d tvar[k]=%d \n",h, k,j,codtab[h][k],Tvar[k]);*/
+             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]]);
          }
        }
      }
- Line 4739  int main(int argc, char *argv[])
+ Line 5972  int main(int argc, char *argv[])
       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("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);
- Line 4757  int main(int argc, char *argv[])
+ Line 5994  int main(int argc, char *argv[])
    else{
      fprintf(ficgp,"\n# %s\n", version);
      fprintf(ficgp,"# %s\n", optionfilegnuplot);
-     fprintf(ficgp,"set missing 'NaNq'\n");
+     //fprintf(ficgp,"set missing 'NaNq'\n");
+     fprintf(ficgp,"set datafile missing 'NaNq'\n");
    }
    /*  fclose(ficgp);*/
    /*--------- index.htm --------*/
- Line 4767  int main(int argc, char *argv[])
+ Line 6005  int main(int argc, char *argv[])
      strcat(optionfilehtm,"-mort");
    strcat(optionfilehtm,".htm");
    if((fichtm=fopen(optionfilehtm,"w"))==NULL)    {
-     printf("Problem with %s \n",optionfilehtm), exit(0);
+     printf("Problem with %s \n",optionfilehtm);
+     exit(0);
    }
    strcpy(optionfilehtmcov,optionfilefiname); /* Only for matrix of covariance */
- Line 4776  int main(int argc, char *argv[])
+ Line 6015  int main(int argc, char *argv[])
      printf("Problem with %s \n",optionfilehtmcov), exit(0);
    }
    else{
-   fprintf(fichtmcov,"<body>\n<title>IMaCh Cov %s</title>\n <font size=\"2\">%s <br> %s</font> \
+   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",\
-           fileres,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);
+           optionfilehtmcov,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);
    }
-   fprintf(fichtm,"<body>\n<title>IMaCh %s</title>\n <font size=\"2\">%s <br> %s</font> \
+   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",\
-           fileres,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model,\
+           optionfilehtm,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model,\
+           optionfilefiname,optionfilext,optionfilefiname,optionfilext,\
            fileres,fileres,\
            filelog,filelog,optionfilegnuplot,optionfilegnuplot,strstart);
    fflush(fichtm);
- Line 4822  Interval (in months) between two waves:
+ Line 6063  Interval (in months) between two waves:
    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);
- Line 4831  Interval (in months) between two waves:
+ Line 6074  Interval (in months) between two waves:
      for (i=1; i<=imx; i++){
        dcwave[i]=-1;
-       for (j=1; j<=lastpass; j++)
+       for (m=firstpass; m<=lastpass; m++)
-         if (s[j][i]>nlstate) {
+         if (s[m][i]>nlstate) {
-           dcwave[i]=j;
+           dcwave[i]=m;
            /*    printf("i=%d j=%d s=%d dcwave=%d\n",i,j, s[j][i],dcwave[i]);*/
            break;
          }
- Line 4842  Interval (in months) between two waves:
+ Line 6085  Interval (in months) between two waves:
      for (i=1; i<=imx; i++) {
        if (wav[i]>0){
          ageexmed[i]=agev[mw[1][i]][i];
-         j=wav[i];agecens[i]=1.;
+         j=wav[i];
-         if (ageexmed[i]>1 & wav[i]>0) agecens[i]=agev[mw[j][i]][i];
+         agecens[i]=1.;
-         cens[i]=1;
+         if (ageexmed[i]> 1 && wav[i] > 0){
-         if (ageexmed[i]<1) cens[i]=-1;
+           agecens[i]=agev[mw[j][i]][i];
-         if (agedc[i]< AGESUP & agedc[i]>1 & dcwave[i]>firstpass & dcwave[i]<=lastpass) cens[i]=0 ;
+           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;
      }
- Line 4856  Interval (in months) between two waves:
+ Line 6103  Interval (in months) between two waves:
        for (j=1;j<=NDIM;j++)
          ximort[i][j]=(i == j ? 1.0 : 0.0);
      }
-     p[1]=0.1; p[2]=0.1;
+     /*p[1]=0.0268; p[NDIM]=0.083;*/
      /*printf("%lf %lf", p[1], p[2]);*/
-   printf("Powell\n");  fprintf(ficlog,"Powell\n");
+ #ifdef GSL
-   strcpy(filerespow,"pow-mort");
+     printf("GSL optimization\n");  fprintf(ficlog,"Powell\n");
-   strcat(filerespow,fileres);
+ #else
-   if((ficrespow=fopen(filerespow,"w"))==NULL) {
+     printf("Powell\n");  fprintf(ficlog,"Powell\n");
-     printf("Problem with resultfile: %s\n", filerespow);
+ #endif
-     fprintf(ficlog,"Problem with resultfile: %s\n", filerespow);
+     strcpy(filerespow,"pow-mort");
-   }
+     strcat(filerespow,fileres);
-   fprintf(ficrespow,"# Powell\n# iter -2*LL");
+     if((ficrespow=fopen(filerespow,"w"))==NULL) {
-   /*  for (i=1;i<=nlstate;i++)
+       printf("Problem with resultfile: %s\n", filerespow);
-     for(j=1;j<=nlstate+ndeath;j++)
+       fprintf(ficlog,"Problem with resultfile: %s\n", filerespow);
-       if(j!=i)fprintf(ficrespow," p%1d%1d",i,j);
+     }
-   */
+ #ifdef GSL
-   fprintf(ficrespow,"\n");
+     fprintf(ficrespow,"# GSL optimization\n# iter -2*LL");
+ #else
+     fprintf(ficrespow,"# Powell\n# iter -2*LL");
+ #endif
+     /*  for (i=1;i<=nlstate;i++)
+         for(j=1;j<=nlstate+ndeath;j++)
+         if(j!=i)fprintf(ficrespow," p%1d%1d",i,j);
+     */
+     fprintf(ficrespow,"\n");
+ #ifdef GSL
+     /* gsl starts here */
+     T = gsl_multimin_fminimizer_nmsimplex;
+     gsl_multimin_fminimizer *sfm = NULL;
+     gsl_vector *ss, *x;
+     gsl_multimin_function minex_func;
+     /* Initial vertex size vector */
+     ss = gsl_vector_alloc (NDIM);
+     if (ss == NULL){
+       GSL_ERROR_VAL ("failed to allocate space for ss", GSL_ENOMEM, 0);
+     }
+     /* Set all step sizes to 1 */
+     gsl_vector_set_all (ss, 0.001);
+     /* Starting point */
+     x = gsl_vector_alloc (NDIM);
+     if (x == NULL){
+       gsl_vector_free(ss);
+       GSL_ERROR_VAL ("failed to allocate space for x", GSL_ENOMEM, 0);
+     }
+     /* Initialize method and iterate */
+     /*     p[1]=0.0268; p[NDIM]=0.083; */
+ /*     gsl_vector_set(x, 0, 0.0268); */
+ /*     gsl_vector_set(x, 1, 0.083); */
+     gsl_vector_set(x, 0, p[1]);
+     gsl_vector_set(x, 1, p[2]);
+     minex_func.f = &gompertz_f;
+     minex_func.n = NDIM;
+     minex_func.params = (void *)&p; /* ??? */
+     sfm = gsl_multimin_fminimizer_alloc (T, NDIM);
+     gsl_multimin_fminimizer_set (sfm, &minex_func, x, ss);
+     printf("Iterations beginning .....\n\n");
+     printf("Iter. #    Intercept       Slope     -Log Likelihood     Simplex size\n");
-     powell(p,ximort,NDIM,ftol,&iter,&fret,gompertz);
+     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);
+     hesscov(matcov, p, NDIM, delti, 1e-4, gompertz);
      for(i=1; i <=NDIM; i++)
        for(j=i+1;j<=NDIM;j++)
- Line 4896  Interval (in months) between two waves:
+ Line 6228  Interval (in months) between two waves:
      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);
+     lsurv=vector(1,AGESUP);
      lpop=vector(1,AGESUP);
      tpop=vector(1,AGESUP);
      lsurv[agegomp]=100000;
-      for (k=agegomp;k<=AGESUP;k++) {
+     for (k=agegomp;k<=AGESUP;k++) {
        agemortsup=k;
        if (p[1]*exp(p[2]*(k-agegomp))>1) break;
      }
-       for (k=agegomp;k<agemortsup;k++)
+     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;
+     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");
+     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,path); /* Even gnuplot wants a / */
+     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 */
+   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++)
- Line 4969  lsurv=vector(1,AGESUP);
+ Line 6307  lsurv=vector(1,AGESUP);
            fprintf(ficlog,"%d%d ",i,k);
            fprintf(ficres,"%1d%1d ",i,k);
            for(j=1; j <=ncovmodel; j++){
-             printf("%f ",p[jk]);
+             printf("%lf ",p[jk]);
-             fprintf(ficlog,"%f ",p[jk]);
+             fprintf(ficlog,"%lf ",p[jk]);
-             fprintf(ficres,"%f ",p[jk]);
+             fprintf(ficres,"%lf ",p[jk]);
              jk++;
            }
            printf("\n");
- Line 5096  lsurv=vector(1,AGESUP);
+ Line 6434  lsurv=vector(1,AGESUP);
      while((c=getc(ficpar))=='#' && c!= EOF){
        ungetc(c,ficpar);
        fgets(line, MAXLINE, ficpar);
-       puts(line);
+       fputs(line,stdout);
        fputs(line,ficparo);
      }
      ungetc(c,ficpar);
- Line 5116  lsurv=vector(1,AGESUP);
+ Line 6454  lsurv=vector(1,AGESUP);
      while((c=getc(ficpar))=='#' && c!= EOF){
        ungetc(c,ficpar);
        fgets(line, MAXLINE, ficpar);
-       puts(line);
+       fputs(line,stdout);
        fputs(line,ficparo);
      }
      ungetc(c,ficpar);
- Line 5130  lsurv=vector(1,AGESUP);
+ Line 6468  lsurv=vector(1,AGESUP);
      while((c=getc(ficpar))=='#' && c!= EOF){
        ungetc(c,ficpar);
        fgets(line, MAXLINE, ficpar);
-       puts(line);
+       fputs(line,stdout);
        fputs(line,ficparo);
      }
      ungetc(c,ficpar);
- Line 5146  lsurv=vector(1,AGESUP);
+ Line 6484  lsurv=vector(1,AGESUP);
      while((c=getc(ficpar))=='#' && c!= EOF){
        ungetc(c,ficpar);
        fgets(line, MAXLINE, ficpar);
-       puts(line);
+       fputs(line,stdout);
        fputs(line,ficparo);
      }
      ungetc(c,ficpar);
- Line 5160  lsurv=vector(1,AGESUP);
+ Line 6498  lsurv=vector(1,AGESUP);
-     /*  freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint);*/
+      /* freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint); */
-     /*,dateprev1,dateprev2,jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);*/
+     /* ,dateprev1,dateprev2,jprev1, mprev1,anprev1,jprev2, mprev2,anprev2); */
-     replace_back_to_slash(pathc,path); /* Even gnuplot wants a / */
+     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,\
- Line 5185  lsurv=vector(1,AGESUP);
+ Line 6523  lsurv=vector(1,AGESUP);
      fclose(ficres);
-     /*--------------- Prevalence limit  (stable prevalence) --------------*/
+     /*--------------- Prevalence limit  (period or stable prevalence) --------------*/
+ #include "prevlim.h"  /* Use ficrespl, ficlog */
-     strcpy(filerespl,"pl");
-     strcat(filerespl,fileres);
-     if((ficrespl=fopen(filerespl,"w"))==NULL) {
-       printf("Problem with stable prevalence resultfile: %s\n", filerespl);goto end;
-       fprintf(ficlog,"Problem with stable prevalence resultfile: %s\n", filerespl);goto end;
-     }
-     printf("Computing stable prevalence: result on file '%s' \n", filerespl);
-     fprintf(ficlog,"Computing stable prevalence: result on file '%s' \n", filerespl);
-     fprintf(ficrespl, "#Local time at start: %s", strstart);
-     fprintf(ficrespl,"#Stable prevalence \n");
-     fprintf(ficrespl,"#Age ");
-     for(i=1; i<=nlstate;i++) fprintf(ficrespl,"%d-%d ",i,i);
-     fprintf(ficrespl,"\n");
-     prlim=matrix(1,nlstate,1,nlstate);
-     agebase=ageminpar;
-     agelim=agemaxpar;
-     ftolpl=1.e-10;
-     i1=cptcoveff;
-     if (cptcovn < 1){i1=1;}
-     for(cptcov=1,k=0;cptcov<=i1;cptcov++){
-       for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){
-         k=k+1;
-         /*printf("cptcov=%d cptcod=%d codtab=%d nbcode=%d\n",cptcov, cptcod,Tcode[cptcode],codtab[cptcod][cptcov]);*/
-         fprintf(ficrespl,"\n#******");
-         printf("\n#******");
-         fprintf(ficlog,"\n#******");
-         for(j=1;j<=cptcoveff;j++) {
-           fprintf(ficrespl," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
-           printf(" V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
-           fprintf(ficlog," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
-         }
-         fprintf(ficrespl,"******\n");
-         printf("******\n");
-         fprintf(ficlog,"******\n");
-         for (age=agebase; age<=agelim; age++){
-           prevalim(prlim, nlstate, p, age, oldm, savm,ftolpl,k);
-           fprintf(ficrespl,"%.0f ",age );
-           for(j=1;j<=cptcoveff;j++)
-             fprintf(ficrespl,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
-           for(i=1; i<=nlstate;i++)
-             fprintf(ficrespl," %.5f", prlim[i][i]);
-           fprintf(ficrespl,"\n");
-         }
-       }
-     }
      fclose(ficrespl);
-     /*------------- h Pij x at various ages ------------*/
+ #ifdef FREEEXIT2
+ #include "freeexit2.h"
-     strcpy(filerespij,"pij");  strcat(filerespij,fileres);
+ #endif
-     if((ficrespij=fopen(filerespij,"w"))==NULL) {
-       printf("Problem with Pij resultfile: %s\n", filerespij);goto end;
-       fprintf(ficlog,"Problem with Pij resultfile: %s\n", filerespij);goto end;
-     }
-     printf("Computing pij: result on file '%s' \n", filerespij);
-     fprintf(ficlog,"Computing pij: result on file '%s' \n", filerespij);
-     stepsize=(int) (stepm+YEARM-1)/YEARM;
-     /*if (stepm<=24) stepsize=2;*/
-     agelim=AGESUP;
-     hstepm=stepsize*YEARM; /* Every year of age */
-     hstepm=hstepm/stepm; /* Typically 2 years, = 2/6 months = 4 */
-     /* hstepm=1;   aff par mois*/
-     fprintf(ficrespij, "#Local time at start: %s", strstart);
-     fprintf(ficrespij,"#****** h Pij x Probability to be in state j at age x+h being in i at x ");
-     for(cptcov=1,k=0;cptcov<=i1;cptcov++){
-       for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){
-         k=k+1;
-         fprintf(ficrespij,"\n#****** ");
-         for(j=1;j<=cptcoveff;j++)
-           fprintf(ficrespij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
-         fprintf(ficrespij,"******\n");
-         for (agedeb=fage; agedeb>=bage; agedeb--){ /* If stepm=6 months */
-           nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */
-           nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
-           /*      nhstepm=nhstepm*YEARM; aff par mois*/
-           p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
+     /*------------- h Pij x at various ages ------------*/
-           oldm=oldms;savm=savms;
+ #include "hpijx.h"
-           hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);
+     fclose(ficrespij);
-           fprintf(ficrespij,"# Cov Agex agex+h hpijx with i,j=");
-           for(i=1; i<=nlstate;i++)
-             for(j=1; j<=nlstate+ndeath;j++)
-               fprintf(ficrespij," %1d-%1d",i,j);
-           fprintf(ficrespij,"\n");
-           for (h=0; h<=nhstepm; h++){
-             fprintf(ficrespij,"%d %3.f %3.f",k,agedeb, agedeb+ h*hstepm/YEARM*stepm );
-             for(i=1; i<=nlstate;i++)
-               for(j=1; j<=nlstate+ndeath;j++)
-                 fprintf(ficrespij," %.5f", p3mat[i][j][h]);
-             fprintf(ficrespij,"\n");
-           }
-           free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
-           fprintf(ficrespij,"\n");
-         }
-       }
-     }
+   /*-------------- Variance of one-step probabilities---*/
+     k=1;
      varprob(optionfilefiname, matcov, p, delti, nlstate, bage, fage,k,Tvar,nbcode, ncodemax,strstart);
-     fclose(ficrespij);
      probs= ma3x(1,AGESUP,1,NCOVMAX, 1,NCOVMAX);
      for(i=1;i<=AGESUP;i++)
- Line 5318  lsurv=vector(1,AGESUP);
+ Line 6561  lsurv=vector(1,AGESUP);
      }
-     /*---------- Health expectancies and variances ------------*/
+     /* Computes prevalence between agemin (i.e minimal age computed) and no more ageminpar */
-     strcpy(filerest,"t");
+     prevalence(probs, agemin, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass);
-     strcat(filerest,fileres);
+     /*  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",\
-     if((ficrest=fopen(filerest,"w"))==NULL) {
+         ageminpar, agemax, s[lastpass][imx], agev[lastpass][imx], nlstate, imx, mint[lastpass][imx],anint[lastpass][imx], dateprev1, dateprev2, firstpass, lastpass);
-       printf("Problem with total LE resultfile: %s\n", filerest);goto end;
+     */
-       fprintf(ficlog,"Problem with total LE resultfile: %s\n", filerest);goto end;
+     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);
+       }
      }
-     printf("Computing Total LEs with variances: file '%s' \n", filerest);
-     fprintf(ficlog,"Computing Total LEs with variances: file '%s' \n", filerest);
+     /*---------- Health expectancies, no variances ------------*/
      strcpy(filerese,"e");
      strcat(filerese,fileres);
      if((ficreseij=fopen(filerese,"w"))==NULL) {
- Line 5338  lsurv=vector(1,AGESUP);
+ Line 6587  lsurv=vector(1,AGESUP);
      }
      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);
- Line 5348  lsurv=vector(1,AGESUP);
+ Line 6647  lsurv=vector(1,AGESUP);
      printf("Computing Variance-covariance of DFLEs: file '%s' \n", fileresv);
      fprintf(ficlog,"Computing Variance-covariance of DFLEs: file '%s' \n", fileresv);
-     /* Computes prevalence between agemin (i.e minimal age computed) and no more ageminpar */
+     /*for(cptcov=1,k=0;cptcov<=i1;cptcov++){
-     prevalence(probs, agemin, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass);
+       for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*/
-     /*  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);
+     for (k=1; k <= (int) pow(2,cptcoveff); k++){
-     */
+         fprintf(ficrest,"\n#****** ");
-     if (mobilav!=0) {
-       mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
-       if (movingaverage(probs, bage, fage, mobaverage,mobilav)!=0){
-         fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
-         printf(" Error in movingaverage mobilav=%d\n",mobilav);
-       }
-     }
-     for(cptcov=1,k=0;cptcov<=i1;cptcov++){
-       for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){
-         k=k+1;
-         fprintf(ficrest,"\n#****** ");
          for(j=1;j<=cptcoveff;j++)
            fprintf(ficrest,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
          fprintf(ficrest,"******\n");
-         fprintf(ficreseij,"\n#****** ");
+         fprintf(ficresstdeij,"\n#****** ");
-         for(j=1;j<=cptcoveff;j++)
+         fprintf(ficrescveij,"\n#****** ");
-           fprintf(ficreseij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
+         for(j=1;j<=cptcoveff;j++) {
-         fprintf(ficreseij,"******\n");
+           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++)
- Line 5382  lsurv=vector(1,AGESUP);
+ Line 6672  lsurv=vector(1,AGESUP);
          eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
          oldm=oldms;savm=savms;
-         evsij(fileres, eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k, estepm, delti, matcov, strstart);
+         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);
-         oldm=oldms;savm=savms;
+         pstamp(ficrest);
-         varevsij(optionfilefiname, vareij, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k, estepm, cptcov,cptcod,0, mobilav, strstart);
-         if(popbased==1){
-           varevsij(optionfilefiname, vareij, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k, estepm, cptcov,cptcod,popbased,mobilav, strstart);
+         for(vpopbased=0; vpopbased <= popbased; vpopbased++){ /* Done for vpopbased=0 and vpopbased=1 if popbased==1*/
-         }
+           oldm=oldms;savm=savms; /* Segmentation fault */
+           cptcod= 0; /* To be deleted */
-         fprintf(ficrest, "#Local time at start: %s", strstart);
+           varevsij(optionfilefiname, vareij, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k, estepm, cptcov,cptcod,vpopbased,mobilav, strstart); /* cptcod not initialized Intel */
-         fprintf(ficrest,"#Total LEs with variances: e.. (std) ");
+           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 ");
-         for (i=1;i<=nlstate;i++) fprintf(ficrest,"e.%d (std) ",i);
+           if(vpopbased==1)
-         fprintf(ficrest,"\n");
+             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
-         epj=vector(1,nlstate+1);
+             fprintf(ficrest,"the age specific period (stable) prevalences in each health state \n");
-         for(age=bage; age <=fage ;age++){
+           fprintf(ficrest,"# Age e.. (std) ");
-           prevalim(prlim, nlstate, p, age, oldm, savm,ftolpl,k);
+           for (i=1;i<=nlstate;i++) fprintf(ficrest,"e.%d (std) ",i);
-           if (popbased==1) {
+           fprintf(ficrest,"\n");
-             if(mobilav ==0){
-               for(i=1; i<=nlstate;i++)
+           epj=vector(1,nlstate+1);
-                 prlim[i][i]=probs[(int)age][i][k];
+           for(age=bage; age <=fage ;age++){
-             }else{ /* mobilav */
+             prevalim(prlim, nlstate, p, age, oldm, savm,ftolpl,k);
-               for(i=1; i<=nlstate;i++)
+             if (vpopbased==1) {
-                 prlim[i][i]=mobaverage[(int)age][i][k];
+               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);
+             fprintf(ficrest," %4.0f",age);
-           for(j=1, epj[nlstate+1]=0.;j <=nlstate;j++){
+             for(j=1, epj[nlstate+1]=0.;j <=nlstate;j++){
-             for(i=1, epj[j]=0.;i <=nlstate;i++) {
+               for(i=1, epj[j]=0.;i <=nlstate;i++) {
-               epj[j] += prlim[i][i]*eij[i][j][(int)age];
+                 epj[j] += prlim[i][i]*eij[i][j][(int)age];
-               /*  printf("%lf %lf ", prlim[i][i] ,eij[i][j][(int)age]);*/
+                 /*  printf("%lf %lf ", prlim[i][i] ,eij[i][j][(int)age]);*/
+               }
+               epj[nlstate+1] +=epj[j];
              }
-             epj[nlstate+1] +=epj[j];
-           }
-           for(i=1, vepp=0.;i <=nlstate;i++)
+             for(i=1, vepp=0.;i <=nlstate;i++)
-             for(j=1;j <=nlstate;j++)
+               for(j=1;j <=nlstate;j++)
-               vepp += vareij[i][j][(int)age];
+                 vepp += vareij[i][j][(int)age];
-           fprintf(ficrest," %7.3f (%7.3f)", epj[nlstate+1],sqrt(vepp));
+             fprintf(ficrest," %7.3f (%7.3f)", epj[nlstate+1],sqrt(vepp));
-           for(j=1;j <=nlstate;j++){
+             for(j=1;j <=nlstate;j++){
-             fprintf(ficrest," %7.3f (%7.3f)", epj[j],sqrt(vareij[j][j][(int)age]));
+               fprintf(ficrest," %7.3f (%7.3f)", epj[j],sqrt(vareij[j][j][(int)age]));
+             }
+             fprintf(ficrest,"\n");
            }
-           fprintf(ficrest,"\n");
          }
          free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);
          free_ma3x(vareij,1,nlstate,1,nlstate,(int) bage, (int)fage);
          free_vector(epj,1,nlstate+1);
-       }
+       /*}*/
      }
      free_vector(weight,1,n);
-     free_imatrix(Tvard,1,15,1,2);
+     free_imatrix(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(ficreseij);
+     fclose(ficresstdeij);
+     fclose(ficrescveij);
      fclose(ficresvij);
      fclose(ficrest);
      fclose(ficpar);
-     /*------- Variance of stable prevalence------*/
+     /*------- Variance of period (stable) prevalence------*/
      strcpy(fileresvpl,"vpl");
      strcat(fileresvpl,fileres);
      if((ficresvpl=fopen(fileresvpl,"w"))==NULL) {
-       printf("Problem with variance of stable prevalence  resultfile: %s\n", fileresvpl);
+       printf("Problem with variance of period (stable) prevalence  resultfile: %s\n", fileresvpl);
        exit(0);
      }
-     printf("Computing Variance-covariance of stable prevalence: file '%s' \n", fileresvpl);
+     printf("Computing Variance-covariance of period (stable) prevalence: file '%s' \n", fileresvpl);
-     for(cptcov=1,k=0;cptcov<=i1;cptcov++){
+     /*for(cptcov=1,k=0;cptcov<=i1;cptcov++){
-       for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){
+       for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*/
-         k=k+1;
-         fprintf(ficresvpl,"\n#****** ");
+     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");
- Line 5466  lsurv=vector(1,AGESUP);
+ Line 6767  lsurv=vector(1,AGESUP);
          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);
- Line 5474  lsurv=vector(1,AGESUP);
+ Line 6775  lsurv=vector(1,AGESUP);
      /*---------- 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);*/
- Line 5488  lsurv=vector(1,AGESUP);
+ Line 6789  lsurv=vector(1,AGESUP);
      free_matrix(agev,1,maxwav,1,imx);
      free_ma3x(param,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel);
-     free_ivector(ncodemax,1,8);
+     free_ivector(ncodemax,1,NCOVMAX);
-     free_ivector(Tvar,1,15);
+     free_ivector(Tvar,1,NCOVMAX);
-     free_ivector(Tprod,1,15);
+     free_ivector(Tprod,1,NCOVMAX);
-     free_ivector(Tvaraff,1,15);
+     free_ivector(Tvaraff,1,NCOVMAX);
-     free_ivector(Tage,1,15);
+     free_ivector(Tage,1,NCOVMAX);
-     free_ivector(Tcode,1,100);
+     free_imatrix(nbcode,0,NCOVMAX,0,NCOVMAX);
+     free_imatrix(codtab,1,100,1,10);
    fflush(fichtm);
    fflush(ficgp);
- Line 5509  lsurv=vector(1,AGESUP);
+ Line 6810  lsurv=vector(1,AGESUP);
    }
    printf("See log file on %s\n",filelog);
    /*  gettimeofday(&end_time, (struct timezone*)0);*/  /* after time */
-   (void) gettimeofday(&end_time,&tzp);
+   /*(void) gettimeofday(&end_time,&tzp);*/
-   tm = *localtime(&end_time.tv_sec);
+   rend_time = time(NULL);
-   tmg = *gmtime(&end_time.tv_sec);
+   end_time = *localtime(&rend_time);
-   strcpy(strtend,asctime(&tm));
+   /* tml = *localtime(&end_time.tm_sec); */
+   strcpy(strtend,asctime(&end_time));
    printf("Local time at start %s\nLocal time at end   %s",strstart, strtend);
    fprintf(ficlog,"Local time at start %s\nLocal time at end   %s\n",strstart, strtend);
-   printf("Total time used %s\n", asc_diff_time(end_time.tv_sec -start_time.tv_sec,tmpout));
+   printf("Total time used %s\n", asc_diff_time(rend_time -rstart_time,tmpout));
-   printf("Total time was %d Sec.\n", end_time.tv_sec -start_time.tv_sec);
+   printf("Total time was %.0lf Sec.\n", difftime(rend_time,rstart_time));
-   fprintf(ficlog,"Total time used %s\n", asc_diff_time(end_time.tv_sec -start_time.tv_sec,tmpout));
+   fprintf(ficlog,"Total time used %s\n", asc_diff_time(rend_time -rstart_time,tmpout));
-   fprintf(ficlog,"Total time was %d Sec.\n", end_time.tv_sec -start_time.tv_sec);
+   fprintf(ficlog,"Total time was %.0lf Sec.\n", difftime(rend_time,rstart_time));
    /*  printf("Total time was %d uSec.\n", total_usecs);*/
  /*   if(fileappend(fichtm,optionfilehtm)){ */
-   fprintf(fichtm,"<br>Local time at start %s<br>Local time at end   %s<br>",strstart, strtend);
+   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 -----------*/
-   chdir(path);
-   strcpy(plotcmd,"\"");
+    printf("Before Current directory %s!\n",pathcd);
-   strcat(plotcmd,pathimach);
+    if(chdir(pathcd) != 0)
-   strcat(plotcmd,GNUPLOTPROGRAM);
+     printf("Can't move to directory %s!\n",path);
-   strcat(plotcmd,"\"");
+   if(getcwd(pathcd,MAXLINE) > 0)
-   strcat(plotcmd," ");
+     printf("Current directory %s!\n",pathcd);
-   strcat(plotcmd,optionfilegnuplot);
+   /*strcat(plotcmd,CHARSEPARATOR);*/
-   printf("Starting graphs with: %s",plotcmd);fflush(stdout);
+   sprintf(plotcmd,"gnuplot");
+ #ifdef _WIN32
+   sprintf(plotcmd,"\"%sgnuplot.exe\"",pathimach);
+ #endif
+   if(!stat(plotcmd,&info)){
+     printf("Error or gnuplot program not found: '%s'\n",plotcmd);fflush(stdout);
+     if(!stat(getenv("GNUPLOTBIN"),&info)){
+       printf("Error or gnuplot program not found: '%s' Environment GNUPLOTBIN not set.\n",plotcmd);fflush(stdout);
+     }else
+       strcpy(pplotcmd,plotcmd);
+ #ifdef __unix
+     strcpy(plotcmd,GNUPLOTPROGRAM);
+     if(!stat(plotcmd,&info)){
+       printf("Error gnuplot program not found: '%s'\n",plotcmd);fflush(stdout);
+     }else
+       strcpy(pplotcmd,plotcmd);
+ #endif
+   }else
+     strcpy(pplotcmd,plotcmd);
+   sprintf(plotcmd,"%s %s",pplotcmd, optionfilegnuplot);
+   printf("Starting graphs with: '%s'\n",plotcmd);fflush(stdout);
    if((outcmd=system(plotcmd)) != 0){
-     printf(" Problem with gnuplot\n");
+     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(" Wait...");
+   printf(" Successful, please wait...");
    while (z[0] != 'q') {
      /* chdir(path); */
-     printf("\nType e to edit output files, g to graph again and q for exiting: ");
+     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') {
-       printf("Starting browser with: %s",optionfilehtm);fflush(stdout);
+ #ifdef __APPLE__
-       system(optionfilehtm);
+       sprintf(pplotcmd, "open %s", optionfilehtm);
+ #elif __linux
+       sprintf(pplotcmd, "xdg-open %s", optionfilehtm);
+ #else
+       sprintf(pplotcmd, "%s", optionfilehtm);
+ #endif
+       printf("Starting browser with: %s",pplotcmd);fflush(stdout);
+       system(pplotcmd);
      }
      else if (z[0] == 'g') system(plotcmd);
      else if (z[0] == 'q') exit(0);
- Line 5559  lsurv=vector(1,AGESUP);
+ Line 6895  lsurv=vector(1,AGESUP);
      scanf("%s",z);
    }
  }

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	Added in v.1.162