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Diff for /imach/src/imach.c between versions 1.262 and 1.337

-version 1.262, 2017/04/18 16:48:12
+version 1.337, 2022/09/02 14:26:02
  Line 1
  /* $Id$
    $State$
    $Log$
+   Revision 1.337  2022/09/02 14:26:02  brouard
+   Summary: version 0.99r35
+   * src/imach.c: Version 0.99r35 because it outputs same results with
++age+V1+V1*age for females and 1+age for females only
+   (education=1 noweight)
+   Revision 1.336  2022/08/31 09:52:36  brouard
+   *** empty log message ***
+   Revision 1.335  2022/08/31 08:23:16  brouard
+   Summary: improvements...
+   Revision 1.334  2022/08/25 09:08:41  brouard
+   Summary: In progress for quantitative
+   Revision 1.333  2022/08/21 09:10:30  brouard
+   * src/imach.c (Module): Version 0.99r33 A lot of changes in
+   reassigning covariates: my first idea was that people will always
+   use the first covariate V1 into the model but in fact they are
+   producing data with many covariates and can use an equation model
+   with some of the covariate; it means that in a model V2+V3 instead
+   of codtabm(k,Tvaraff[j]) which calculates for combination k, for
+   three covariates (V1, V2, V3) the value of Tvaraff[j], but in fact
+   the equation model is restricted to two variables only (V2, V3)
+   and the combination for V2 should be codtabm(k,1) instead of
+   (codtabm(k,2), and the code should be
+   codtabm(k,TnsdVar[Tvaraff[j]]. Many many changes have been
+   made. All of these should be simplified once a day like we did in
+   hpxij() for example by using precov[nres] which is computed in
+   decoderesult for each nres of each resultline. Loop should be done
+   on the equation model globally by distinguishing only product with
+   age (which are changing with age) and no more on type of
+   covariates, single dummies, single covariates.
+   Revision 1.332  2022/08/21 09:06:25  brouard
+   Summary: Version 0.99r33
+   * src/imach.c (Module): Version 0.99r33 A lot of changes in
+   reassigning covariates: my first idea was that people will always
+   use the first covariate V1 into the model but in fact they are
+   producing data with many covariates and can use an equation model
+   with some of the covariate; it means that in a model V2+V3 instead
+   of codtabm(k,Tvaraff[j]) which calculates for combination k, for
+   three covariates (V1, V2, V3) the value of Tvaraff[j], but in fact
+   the equation model is restricted to two variables only (V2, V3)
+   and the combination for V2 should be codtabm(k,1) instead of
+   (codtabm(k,2), and the code should be
+   codtabm(k,TnsdVar[Tvaraff[j]]. Many many changes have been
+   made. All of these should be simplified once a day like we did in
+   hpxij() for example by using precov[nres] which is computed in
+   decoderesult for each nres of each resultline. Loop should be done
+   on the equation model globally by distinguishing only product with
+   age (which are changing with age) and no more on type of
+   covariates, single dummies, single covariates.
+   Revision 1.331  2022/08/07 05:40:09  brouard
+   *** empty log message ***
+   Revision 1.330  2022/08/06 07:18:25  brouard
+   Summary: last 0.99r31
+   *  imach.c (Module): Version of imach using partly decoderesult to rebuild xpxij function
+   Revision 1.329  2022/08/03 17:29:54  brouard
+   *  imach.c (Module): Many errors in graphs fixed with Vn*age covariates.
+   Revision 1.328  2022/07/27 17:40:48  brouard
+   Summary: valgrind bug fixed by initializing to zero DummyV as well as Tage
+   Revision 1.327  2022/07/27 14:47:35  brouard
+   Summary: Still a problem for one-step probabilities in case of quantitative variables
+   Revision 1.326  2022/07/26 17:33:55  brouard
+   Summary: some test with nres=1
+   Revision 1.325  2022/07/25 14:27:23  brouard
+   Summary: r30
+   * imach.c (Module): Error cptcovn instead of nsd in bmij (was
+   coredumped, revealed by Feiuno, thank you.
+   Revision 1.324  2022/07/23 17:44:26  brouard
+   *** empty log message ***
+   Revision 1.323  2022/07/22 12:30:08  brouard
+   *  imach.c (Module): Output of Wald test in the htm file and not only in the log.
+   Revision 1.322  2022/07/22 12:27:48  brouard
+   *  imach.c (Module): Output of Wald test in the htm file and not only in the log.
+   Revision 1.321  2022/07/22 12:04:24  brouard
+   Summary: r28
+   *  imach.c (Module): Output of Wald test in the htm file and not only in the log.
+   Revision 1.320  2022/06/02 05:10:11  brouard
+   *** empty log message ***
+   Revision 1.319  2022/06/02 04:45:11  brouard
+   * imach.c (Module): Adding the Wald tests from the log to the main
+   htm for better display of the maximum likelihood estimators.
+   Revision 1.318  2022/05/24 08:10:59  brouard
+   * imach.c (Module): Some attempts to find a bug of wrong estimates
+   of confidencce intervals with product in the equation modelC
+   Revision 1.317  2022/05/15 15:06:23  brouard
+   * imach.c (Module):  Some minor improvements
+   Revision 1.316  2022/05/11 15:11:31  brouard
+   Summary: r27
+   Revision 1.315  2022/05/11 15:06:32  brouard
+   *** empty log message ***
+   Revision 1.314  2022/04/13 17:43:09  brouard
+   * imach.c (Module): Adding link to text data files
+   Revision 1.313  2022/04/11 15:57:42  brouard
+   * imach.c (Module): Error in rewriting the 'r' file with yearsfproj or yearsbproj fixed
+   Revision 1.312  2022/04/05 21:24:39  brouard
+   *** empty log message ***
+   Revision 1.311  2022/04/05 21:03:51  brouard
+   Summary: Fixed quantitative covariates
+           Fixed covariates (dummy or quantitative)
+         with missing values have never been allowed but are ERRORS and
+         program quits. Standard deviations of fixed covariates were
+         wrongly computed. Mean and standard deviations of time varying
+         covariates are still not computed.
+   Revision 1.310  2022/03/17 08:45:53  brouard
+   Summary: 99r25
+   Improving detection of errors: result lines should be compatible with
+   the model.
+   Revision 1.309  2021/05/20 12:39:14  brouard
+   Summary: Version 0.99r24
+   Revision 1.308  2021/03/31 13:11:57  brouard
+   Summary: Version 0.99r23
+   * imach.c (Module): Still bugs in the result loop. Thank to Holly Benett
+   Revision 1.307  2021/03/08 18:11:32  brouard
+   Summary: 0.99r22 fixed bug on result:
+   Revision 1.306  2021/02/20 15:44:02  brouard
+   Summary: Version 0.99r21
+   * imach.c (Module): Fix bug on quitting after result lines!
+   (Module): Version 0.99r21
+   Revision 1.305  2021/02/20 15:28:30  brouard
+   * imach.c (Module): Fix bug on quitting after result lines!
+   Revision 1.304  2021/02/12 11:34:20  brouard
+   * imach.c (Module): The use of a Windows BOM (huge) file is now an error
+   Revision 1.303  2021/02/11 19:50:15  brouard
+   *  (Module): imach.c Someone entered 'results:' instead of 'result:'. Now it is an error which is printed.
+   Revision 1.302  2020/02/22 21:00:05  brouard
+   *  (Module): imach.c Update mle=-3 (for computing Life expectancy
+   and life table from the data without any state)
+   Revision 1.301  2019/06/04 13:51:20  brouard
+   Summary: Error in 'r'parameter file backcast yearsbproj instead of yearsfproj
+   Revision 1.300  2019/05/22 19:09:45  brouard
+   Summary: version 0.99r19 of May 2019
+   Revision 1.299  2019/05/22 18:37:08  brouard
+   Summary: Cleaned 0.99r19
+   Revision 1.298  2019/05/22 18:19:56  brouard
+   *** empty log message ***
+   Revision 1.297  2019/05/22 17:56:10  brouard
+   Summary: Fix bug by moving date2dmy and nhstepm which gaefin=-1
+   Revision 1.296  2019/05/20 13:03:18  brouard
+   Summary: Projection syntax simplified
+   We can now start projections, forward or backward, from the mean date
+   of inteviews up to or down to a number of years of projection:
+   prevforecast=1 yearsfproj=15.3 mobil_average=0
+   or
+   prevforecast=1 starting-proj-date=1/1/2007 final-proj-date=12/31/2017 mobil_average=0
+   or
+   prevbackcast=1 yearsbproj=12.3 mobil_average=1
+   or
+   prevbackcast=1 starting-back-date=1/10/1999 final-back-date=1/1/1985 mobil_average=1
+   Revision 1.295  2019/05/18 09:52:50  brouard
+   Summary: doxygen tex bug
+   Revision 1.294  2019/05/16 14:54:33  brouard
+   Summary: There was some wrong lines added
+   Revision 1.293  2019/05/09 15:17:34  brouard
+   *** empty log message ***
+   Revision 1.292  2019/05/09 14:17:20  brouard
+   Summary: Some updates
+   Revision 1.291  2019/05/09 13:44:18  brouard
+   Summary: Before ncovmax
+   Revision 1.290  2019/05/09 13:39:37  brouard
+   Summary: 0.99r18 unlimited number of individuals
+   The number n which was limited to 20,000 cases is now unlimited, from firstobs to lastobs. If the number is too for the virtual memory, probably an error will occur.
+   Revision 1.289  2018/12/13 09:16:26  brouard
+   Summary: Bug for young ages (<-30) will be in r17
+   Revision 1.288  2018/05/02 20:58:27  brouard
+   Summary: Some bugs fixed
+   Revision 1.287  2018/05/01 17:57:25  brouard
+   Summary: Bug fixed by providing frequencies only for non missing covariates
+   Revision 1.286  2018/04/27 14:27:04  brouard
+   Summary: some minor bugs
+   Revision 1.285  2018/04/21 21:02:16  brouard
+   Summary: Some bugs fixed, valgrind tested
+   Revision 1.284  2018/04/20 05:22:13  brouard
+   Summary: Computing mean and stdeviation of fixed quantitative variables
+   Revision 1.283  2018/04/19 14:49:16  brouard
+   Summary: Some minor bugs fixed
+   Revision 1.282  2018/02/27 22:50:02  brouard
+   *** empty log message ***
+   Revision 1.281  2018/02/27 19:25:23  brouard
+   Summary: Adding second argument for quitting
+   Revision 1.280  2018/02/21 07:58:13  brouard
+   Summary: 0.99r15
+   New Makefile with recent VirtualBox 5.26. Bug in sqrt negatve in imach.c
+   Revision 1.279  2017/07/20 13:35:01  brouard
+   Summary: temporary working
+   Revision 1.278  2017/07/19 14:09:02  brouard
+   Summary: Bug for mobil_average=0 and prevforecast fixed(?)
+   Revision 1.277  2017/07/17 08:53:49  brouard
+   Summary: BOM files can be read now
+   Revision 1.276  2017/06/30 15:48:31  brouard
+   Summary: Graphs improvements
+   Revision 1.275  2017/06/30 13:39:33  brouard
+   Summary: Saito's color
+   Revision 1.274  2017/06/29 09:47:08  brouard
+   Summary: Version 0.99r14
+   Revision 1.273  2017/06/27 11:06:02  brouard
+   Summary: More documentation on projections
+   Revision 1.272  2017/06/27 10:22:40  brouard
+   Summary: Color of backprojection changed from 6 to 5(yellow)
+   Revision 1.271  2017/06/27 10:17:50  brouard
+   Summary: Some bug with rint
+   Revision 1.270  2017/05/24 05:45:29  brouard
+   *** empty log message ***
+   Revision 1.269  2017/05/23 08:39:25  brouard
+   Summary: Code into subroutine, cleanings
+   Revision 1.268  2017/05/18 20:09:32  brouard
+   Summary: backprojection and confidence intervals of backprevalence
+   Revision 1.267  2017/05/13 10:25:05  brouard
+   Summary: temporary save for backprojection
+   Revision 1.266  2017/05/13 07:26:12  brouard
+   Summary: Version 0.99r13 (improvements and bugs fixed)
+   Revision 1.265  2017/04/26 16:22:11  brouard
+   Summary: imach 0.99r13 Some bugs fixed
+   Revision 1.264  2017/04/26 06:01:29  brouard
+   Summary: Labels in graphs
+   Revision 1.263  2017/04/24 15:23:15  brouard
+   Summary: to save
    Revision 1.262  2017/04/18 16:48:12  brouard
    *** empty log message ***
- Line 651
+ Line 954
    The same imach parameter file can be used but the option for mle should be -3.
-   Agnès, 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 806  Back prevalence and projections:
+ Line 1109  Back prevalence and projections:
     p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                          oldm=oldms;savm=savms;
-    - hbxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);
+    - hbxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k, nres);
       Computes the transition matrix starting at age 'age' over
       'nhstepm*hstepm*stepm' months (i.e. until
       age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying
- Line 830  Important routines
+ Line 1133  Important routines
  - Tricode which tests the modality of dummy variables (in order to warn with wrong or empty modalities)
    and returns the number of efficient covariates cptcoveff and modalities nbcode[Tvar[k]][1]= 0 and nbcode[Tvar[k]][2]= 1 usually.
  - printinghtml which outputs results like life expectancy in and from a state for a combination of modalities of dummy variables
-   o There are 2*cptcoveff combinations of (0,1) for cptcoveff variables. Outputting only combinations with people, éliminating 1 1 if
+   o There are 2**cptcoveff combinations of (0,1) for cptcoveff variables. Outputting only combinations with people, éliminating 1 1 if
      race White (0 0), Black vs White (1 0), Hispanic (0 1) and 1 1 being meaningless.
-   Authors: Nicolas Brouard (brouard@ined.fr) and Agnès Lièvre (lievre@ined.fr).
+   Authors: Nicolas Brouard (brouard@ined.fr) and Agnès Lièvre (lievre@ined.fr).
-            Institut national d'études démographiques, 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 900  Important routines
+ Line 1203  Important routines
  #define POWELLNOF3INFF1TEST /* Skip test */
  /* #define POWELLORIGINAL /\* Don't use Directest to decide new direction but original Powell test *\/ */
  /* #define MNBRAKORIGINAL /\* Don't use mnbrak fix *\/ */
+ /* #define FLATSUP  *//* Suppresses directions where likelihood is flat */
  #include <math.h>
  #include <stdio.h>
- Line 955  typedef struct {
+ Line 1259  typedef struct {
  #define GNUPLOTPROGRAM "gnuplot"
  /*#define GNUPLOTPROGRAM "..\\gp37mgw\\wgnuplot"*/
- #define FILENAMELENGTH 132
+ #define FILENAMELENGTH 256
  #define GLOCK_ERROR_NOPATH              -1      /* empty path */
  #define GLOCK_ERROR_GETCWD              -2      /* cannot get cwd */
- Line 966  typedef struct {
+ Line 1270  typedef struct {
  #define NINTERVMAX 8
  #define NLSTATEMAX 8 /**< Maximum number of live states (for func) */
  #define NDEATHMAX 8 /**< Maximum number of dead states (for func) */
- #define NCOVMAX 20 /**< Maximum number of covariates, including generated covariates V1*V2 */
+ #define NCOVMAX 30  /**< Maximum number of covariates used in the model, including generated covariates V1*V2 or V1*age */
  #define codtabm(h,k)  (1 & (h-1) >> (k-1))+1
  /*#define decodtabm(h,k,cptcoveff)= (h <= (1<<cptcoveff)?(((h-1) >> (k-1)) & 1) +1 : -1)*/
  #define decodtabm(h,k,cptcoveff) (((h-1) >> (k-1)) & 1) +1
- #define MAXN 20000
+ /*#define MAXN 20000 */ /* Should by replaced by nobs, real number of observations and unlimited */
  #define YEARM 12. /**< Number of months per year */
  /* #define AGESUP 130 */
- #define AGESUP 150
+ /* #define AGESUP 150 */
+ #define AGESUP 200
+ #define AGEINF 0
  #define AGEMARGE 25 /* Marge for agemin and agemax for(iage=agemin-AGEMARGE; iage <= agemax+3+AGEMARGE; iage++) */
  #define AGEBASE 40
  #define AGEOVERFLOW 1.e20
- Line 992  typedef struct {
+ Line 1298  typedef struct {
  /* $State$ */
  #include "version.h"
  char version[]=__IMACH_VERSION__;
- char copyright[]="February 2016,INED-EUROREVES-Institut de longevite-Japan Society for the Promotion of Science (Grant-in-Aid for Scientific Research 25293121), Intel Software 2015-2018";
+ char copyright[]="September 2022,INED-EUROREVES-Institut de longevite-Japan Society for the Promotion of Science (Grant-in-Aid for Scientific Research 25293121), Intel Software 2015-2020, Nihon University 2021-202, INED 2000-2022";
  char fullversion[]="$Revision$ $Date$";
  char strstart[80];
  char optionfilext[10], optionfilefiname[FILENAMELENGTH];
  int erreur=0, nberr=0, nbwarn=0; /* Error number, number of errors number of warnings  */
  int nagesqr=0, nforce=0; /* nagesqr=1 if model is including age*age, number of forces */
- /* Number of covariates model=V2+V1+ V3*age+V2*V4 */
+ /* Number of covariates model (1)=V2+V1+ V3*age+V2*V4 */
- int cptcovn=0; /**< cptcovn number of covariates added in the model (excepting constant and age and age*product) */
+ /* Model(2)  V1 + V2 + V3 + V8 + V7*V8 + V5*V6 + V8*age + V3*age + age*age */
- int cptcovt=0; /**< cptcovt number of covariates added in the model (excepting constant and age) */
+ int cptcovn=0; /**< cptcovn decodemodel: number of covariates k of the models excluding age*products =6 and age*age but including products */
- int cptcovs=0; /**< cptcovs number of simple covariates in the model V2+V1 =2 */
+ int cptcovt=0; /**< cptcovt: total number of covariates of the model (2) nbocc(+)+1 = 8 excepting constant and age and age*age */
- int cptcovsnq=0; /**< cptcovsnq number of simple covariates in the model but non quantitative V2+V1 =2 */
+ int cptcovs=0; /**< cptcovs number of SIMPLE covariates in the model V2+V1 =2 (dummy or quantit or time varying) */
+ int cptcovsnq=0; /**< cptcovsnq number of SIMPLE covariates in the model but non quantitative 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 cptcoveff=0; /* Total number of single dummy covariates (fixed or time varying) to vary for printing results (2**cptcoveff combinations of dummies)(computed in tricode as cptcov) */
  int ncovf=0; /* Total number of effective fixed covariates (dummy or quantitative) in the model */
  int ncovv=0; /* Total number of effective (wave) varying covariates (dummy or quantitative) in the model */
  int ncova=0; /* Total number of effective (wave and stepm) varying with age covariates (dummy of quantitative) in the model */
- Line 1016  int nqfveff=0; /**< nqfveff Number of Qu
+ Line 1323  int nqfveff=0; /**< nqfveff Number of Qu
  int ntveff=0; /**< ntveff number of effective time varying variables */
  int nqtveff=0; /**< ntqveff number of effective time varying quantitative variables */
  int cptcov=0; /* Working variable */
+ int firstobs=1, lastobs=10; /* nobs = lastobs-firstobs+1 declared globally ;*/
+ int nobs=10;  /* Number of observations in the data lastobs-firstobs */
  int ncovcombmax=NCOVMAX; /* Maximum calculated number of covariate combination = pow(2, cptcoveff) */
- int npar=NPARMAX;
+ int npar=NPARMAX; /* Number of parameters (nlstate+ndeath-1)*nlstate*ncovmodel; */
  int nlstate=2; /* Number of live states */
  int ndeath=1; /* Number of dead states */
  int ncovmodel=0, ncovcol=0;     /* Total number of covariables including constant a12*1 +b12*x ncovmodel=2 */
- Line 1065  FILE *ficrescveij;
+ Line 1374  FILE *ficrescveij;
  char filerescve[FILENAMELENGTH];
  FILE  *ficresvij;
  char fileresv[FILENAMELENGTH];
- FILE  *ficresvpl;
- char fileresvpl[FILENAMELENGTH];
  char title[MAXLINE];
  char model[MAXLINE]; /**< The model line */
  char optionfile[FILENAMELENGTH], datafile[FILENAMELENGTH],  filerespl[FILENAMELENGTH],  fileresplb[FILENAMELENGTH];
- Line 1155  int *ncodemaxwundef;  /* ncodemax[j]= Nu
+ Line 1463  int *ncodemaxwundef;  /* ncodemax[j]= Nu
  double **agev,*moisnais, *annais, *moisdc, *andc,**mint, **anint;
  double **pmmij, ***probs; /* Global pointer */
  double ***mobaverage, ***mobaverages; /* New global variable */
+ double **precov; /* New global variable to store for each resultline, values of model covariates given by the resultlines (in order to speed up)  */
  double *ageexmed,*agecens;
  double dateintmean=0;
+   double anprojd, mprojd, jprojd; /* For eventual projections */
+   double anprojf, mprojf, jprojf;
+   double anbackd, mbackd, jbackd; /* For eventual backprojections */
+   double anbackf, mbackf, jbackf;
+   double jintmean,mintmean,aintmean;
  double *weight;
  int **s; /* Status */
  double *agedc;
  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]*age; */
- double **coqvar; /* Fixed quantitative covariate iqv */
+ double **coqvar; /* Fixed quantitative covariate nqv */
- double ***cotvar; /* Time varying covariate itv */
+ double ***cotvar; /* Time varying covariate ntv */
  double ***cotqvar; /* Time varying quantitative covariate itqv */
  double  idx;
  int **nbcode, *Tvar; /**< model=V2 => Tvar[1]= 2 */
- /*           V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
+ /* Some documentation */
- /*k          1  2   3   4     5    6    7     8    9 */
+       /*   Design original data
- /*Tvar[k]=   5  4   3   6     5    2    7     1    1 */
+        *  V1   V2   V3   V4  V5  V6  V7  V8  Weight ddb ddth d1st s1 V9 V10 V11 V12 s2 V9 V10 V11 V12
- /* Tndvar[k]    1   2   3               4          5 */
+        *  <          ncovcol=6   >   nqv=2 (V7 V8)                   dv dv  dv  qtv    dv dv  dvv qtv
- /*TDvar         4   3   6               7          1 */ /* For outputs only; combination of dummies fixed or varying */
+        *                                                             ntv=3     nqtv=1
- /* Tns[k]    1  2   2              4               5 */ /* Number of single cova */
+        *  cptcovn number of covariates (not including constant and age or age*age) = number of plus sign + 1 = 10+1=11
- /* TvarsD[k]    1   2                              3 */ /* Number of single dummy cova */
+        * For time varying covariate, quanti or dummies
- /* TvarsDind    2   3                              9 */ /* position K of single dummy cova */
+        *       cotqvar[wav][iv(1 to nqtv)][i]= [1][12][i]=(V12) quanti
- /* TvarsQ[k] 1                     2                 */ /* Number of single quantitative cova */
+        *       cotvar[wav][ntv+iv][i]= [3+(1 to nqtv)][i]=(V12) quanti
- /* TvarsQind 1                     6                 */ /* position K of single quantitative cova */
+        *       cotvar[wav][iv(1 to ntv)][i]= [1][1][i]=(V9) dummies at wav 1
- /* Tprod[i]=k           4               7            */
+        *       cotvar[wav][iv(1 to ntv)][i]= [1][2][i]=(V10) dummies at wav 1
- /* Tage[i]=k                  5               8      */
+        *       covar[Vk,i], value of the Vkth fixed covariate dummy or quanti for individual i:
- /* */
+        *       covar[1][i]= (V1), covar[4][i]=(V4), covar[8][i]=(V8)
+        * Model V2 + V1 + V3*age + V3 + V5*V6 + V7*V8 + V8*age + V8 + V9 + V9*age + V10
+        *   k=  1    2      3       4     5       6      7        8   9     10       11
+        */
+ /* According to the model, more columns can be added to covar by the product of covariates */
+ /* ncovcol=1(Males=0 Females=1) nqv=1(raedyrs) ntv=2(withoutiadl=0 withiadl=1, witoutadl=0 withoutadl=1) nqtv=1(bmi) nlstate=3 ndeath=1
+   # States 1=Coresidence, 2 Living alone, 3 Institution
+   # V1=sex, V2=raedyrs Quant Fixed, State=livarnb4..livarnb11, V3=iadl4..iald11, V4=adlw4..adlw11, V5=r4bmi..r11bmi
+ */
+ /*             V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
+ /*    k        1  2   3   4     5    6    7     8    9 */
+ /*Typevar[k]=  0  0   0   2     1    0    2     1    0 *//*0 for simple covariate (dummy, quantitative,*/
+                                                          /* fixed or varying), 1 for age product, 2 for*/
+                                                          /* product */
+ /*Dummy[k]=    1  0   0   1     3    1    1     2    0 *//*Dummy[k] 0=dummy (0 1), 1 quantitative */
+                                                          /*(single or product without age), 2 dummy*/
+                                                          /* with age product, 3 quant with age product*/
+ /*Tvar[k]=     5  4   3   6     5    2    7     1    1 */
+ /*    nsd         1   2                              3 */ /* Counting single dummies covar fixed or tv */
+ /*TnsdVar[Tvar]   1   2                              3 */
+ /*Tvaraff[nsd]     4   3                              1 */ /* ID of single dummy cova fixed or timevary*/
+ /*TvarsD[nsd]     4   3                              1 */ /* ID of single dummy cova fixed or timevary*/
+ /*TvarsDind[k]    2   3                              9 */ /* position K of single dummy cova */
+ /*    nsq      1                     2                 */ /* Counting single quantit tv */
+ /* TvarsQ[k]   5                     2                 */ /* Number of single quantitative cova */
+ /* TvarsQind   1                     6                 */ /* position K of single quantitative cova */
+ /* Tprod[i]=k             1               2            */ /* Position in model of the ith prod without age */
+ /* cptcovage                    1               2      */ /* Counting cov*age in the model equation */
+ /* Tage[cptcovage]=k            5               8      */ /* Position in the model of ith cov*age */
+ /* Tvard[1][1]@4={4,3,1,2}    V4*V3 V1*V2              */ /* Position in model of the ith prod without age */
+ /* Tvardk[4][1]=4;Tvardk[4][2]=3;Tvardk[7][1]=1;Tvardk[7][2]=2 */ /* Variables of a prod at position in the model equation*/
+ /* TvarF TvarF[1]=Tvar[6]=2,  TvarF[2]=Tvar[7]=7, TvarF[3]=Tvar[9]=1  ID of fixed covariates or product V2, V1*V2, V1 */
+ /* TvarFind;  TvarFind[1]=6,  TvarFind[2]=7, TvarFind[3]=9 *//* Inverse V2(6) is first fixed (single or prod)  */
  /* Type                    */
  /* V         1  2  3  4  5 */
  /*           F  F  V  V  V */
  /*           D  Q  D  D  Q */
  /*                         */
  int *TvarsD;
+ int *TnsdVar;
  int *TvarsDind;
  int *TvarsQ;
  int *TvarsQind;
- #define MAXRESULTLINES 10
+ #define MAXRESULTLINESPONE 10+1
  int nresult=0;
  int parameterline=0; /* # of the parameter (type) line */
- int TKresult[MAXRESULTLINES];
+ int TKresult[MAXRESULTLINESPONE]; /* TKresult[nres]=k for each resultline nres give the corresponding combination of dummies */
- int Tresult[MAXRESULTLINES][NCOVMAX];/* For dummy variable , value (output) */
+ int resultmodel[MAXRESULTLINESPONE][NCOVMAX];/* resultmodel[k1]=k3: k1th position in the model corresponds to the k3 position in the resultline */
- int Tinvresult[MAXRESULTLINES][NCOVMAX];/* For dummy variable , value (output) */
+ int modelresult[MAXRESULTLINESPONE][NCOVMAX];/* modelresult[k3]=k1: k1th position in the model corresponds to the k3 position in the resultline */
- int Tvresult[MAXRESULTLINES][NCOVMAX]; /* For dummy variable , variable # (output) */
+ int Tresult[MAXRESULTLINESPONE][NCOVMAX];/* Tresult[nres][result_position]= value of the dummy variable at the result_position in the nres resultline */
- double Tqresult[MAXRESULTLINES][NCOVMAX]; /* For quantitative variable , value (output) */
+ int Tinvresult[MAXRESULTLINESPONE][NCOVMAX];/* Tinvresult[nres][Name of a dummy variable]= value of the variable in the result line  */
- double Tqinvresult[MAXRESULTLINES][NCOVMAX]; /* For quantitative variable , value (output) */
+ double TinvDoQresult[MAXRESULTLINESPONE][NCOVMAX];/* TinvDoQresult[nres][Name of a Dummy or Q variable]= value of the variable in the result line */
- int Tvqresult[MAXRESULTLINES][NCOVMAX]; /* For quantitative variable , variable # (output) */
+ int Tvresult[MAXRESULTLINESPONE][NCOVMAX]; /* Tvresult[nres][result_position]= name of the dummy variable at the result_position in the nres resultline */
+ double Tqresult[MAXRESULTLINESPONE][NCOVMAX]; /* Tqresult[nres][result_position]= value of the variable at the result_position in the nres resultline */
+ double Tqinvresult[MAXRESULTLINESPONE][NCOVMAX]; /* For quantitative variable , value (output) */
+ int Tvqresult[MAXRESULTLINESPONE][NCOVMAX]; /* Tvqresult[nres][result_position]= id of the variable at the result_position in the nres resultline */
+ /* ncovcol=1(Males=0 Females=1) nqv=1(raedyrs) ntv=2(withoutiadl=0 withiadl=1, witoutadl=0 withoutadl=1) nqtv=1(bmi) nlstate=3 ndeath=1
+   # States 1=Coresidence, 2 Living alone, 3 Institution
+   # V1=sex, V2=raedyrs Quant Fixed, State=livarnb4..livarnb11, V3=iadl4..iald11, V4=adlw4..adlw11, V5=r4bmi..r11bmi
+ */
  /* int *TDvar; /\**< TDvar[1]=4,  TDvarF[2]=3, TDvar[3]=6  in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 *\/ */
  int *TvarF; /**< TvarF[1]=Tvar[6]=2,  TvarF[2]=Tvar[7]=7, TvarF[3]=Tvar[9]=1  in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
  int *TvarFind; /**< TvarFind[1]=6,  TvarFind[2]=7, Tvarind[3]=9  in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
- Line 1234  int *TmodelInvQind; /** Tmodelqind[1]=1
+ Line 1588  int *TmodelInvQind; /** Tmodelqind[1]=1
  int *Ndum; /** Freq of modality (tricode */
  /* int **codtab;*/ /**< codtab=imatrix(1,100,1,10); */
  int **Tvard;
+ int **Tvardk;
  int *Tprod;/**< Gives the k position of the k1 product */
  /* Tprod[k1=1]=3(=V1*V4) for V2+V1+V1*V4+age*V3  */
  int *Tposprod; /**< Gives the k1 product from the k position */
- Line 1404  char *cutl(char *blocc, char *alocc, cha
+ Line 1759  char *cutl(char *blocc, char *alocc, cha
  {
    /* 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="abcdef" and alocc="ghi2j".
+      gives alocc="abcdef" and blocc="ghi2j".
       If occ is not found blocc is null and alocc is equal to in. Returns blocc
    */
    char *s, *t;
- Line 1686  char *subdirf(char fileres[])
+ Line 2041  char *subdirf(char fileres[])
  /*************** function subdirf2 ***********/
  char *subdirf2(char fileres[], char *preop)
  {
+   /* Example subdirf2(optionfilefiname,"FB_") with optionfilefiname="texte", result="texte/FB_texte"
+  Errors in subdirf, 2, 3 while printing tmpout is
+  rewritten within the same printf. Workaround: many printfs */
    /* Caution optionfilefiname is hidden */
    strcpy(tmpout,optionfilefiname);
    strcat(tmpout,"/");
- Line 2057  void linmin(double p[], double xi[], int
+ Line 2414  void linmin(double p[], double xi[], int
  #endif
  #ifdef LINMINORIGINAL
  #else
-         if(fb == fx){ /* Flat function in the direction */
+   if(fb == fx){ /* Flat function in the direction */
-                 xmin=xx;
+     xmin=xx;
      *flat=1;
-         }else{
+   }else{
      *flat=0;
  #endif
                  /*Flat mnbrak2 shift (*ax=0.000000000000, *fa=51626.272983130431), (*bx=-1.618034000000, *fb=51590.149499362531), (*cx=-4.236068025156, *fc=51590.149499362531) */
- Line 2118  void linmin(double p[], double xi[], int
+ Line 2475  void linmin(double p[], double xi[], int
  /*************** powell ************************/
  /*
- Minimization of a function func of n variables. Input consists of an initial starting point
+ Minimization of a function func of n variables. Input consists in an initial starting point
- p[1..n] ; an initial matrix xi[1..n][1..n] , whose columns contain the initial set of di-
+ 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
+ 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
+ such that failure to decrease by more than this amount in 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.
   */
- Line 2146  void powell(double p[], double **xi, int
+ Line 2503  void powell(double p[], double **xi, int
    double fp,fptt;
    double *xits;
    int niterf, itmp;
- #ifdef LINMINORIGINAL
- #else
-   flatdir=ivector(1,n);
-   for (j=1;j<=n;j++) flatdir[j]=0;
- #endif
    pt=vector(1,n);
    ptt=vector(1,n);
- Line 2161  void powell(double p[], double **xi, int
+ Line 2512  void powell(double p[], double **xi, int
    for (j=1;j<=n;j++) pt[j]=p[j];
    rcurr_time = time(NULL);
    for (*iter=1;;++(*iter)) {
-     fp=(*fret); /* From former iteration or initial value */
      ibig=0;
      del=0.0;
      rlast_time=rcurr_time;
      /* (void) gettimeofday(&curr_time,&tzp); */
      rcurr_time = time(NULL);
      curr_time = *localtime(&rcurr_time);
-     printf("\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret, rcurr_time-rlast_time, rcurr_time-rstart_time);fflush(stdout);
+     /* printf("\nPowell iter=%d -2*LL=%.12f gain=%.12f=%.3g %ld sec. %ld sec.",*iter,*fret, fp-*fret,fp-*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(ficlog,"\nPowell iter=%d -2*LL=%.12f gain=%.12f=%.3g %ld sec. %ld sec.",*iter,*fret, fp-*fret,fp-*fret,rcurr_time-rlast_time, rcurr_time-rstart_time); fflush(ficlog); */
+     printf("\nPowell iter=%d -2*LL=%.12f gain=%.3lg %ld sec. %ld sec.",*iter,*fret,fp-*fret, rcurr_time-rlast_time, rcurr_time-rstart_time);fflush(stdout);
+     fprintf(ficlog,"\nPowell iter=%d -2*LL=%.12f gain=%.3lg %ld sec. %ld sec.",*iter,*fret,fp-*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); */
+     fp=(*fret); /* From former iteration or initial value */
      for (i=1;i<=n;i++) {
        fprintf(ficrespow," %.12lf", p[i]);
      }
- Line 2275  void powell(double p[], double **xi, int
+ Line 2628  void powell(double p[], double **xi, int
      /* Convergence test will use last linmin estimation (fret) and compare former iteration (fp) */
      /* But p and xit have been updated at the end of linmin, *fret corresponds to new p, xit  */
      /* New value of last point Pn is not computed, P(n-1) */
-       for(j=1;j<=n;j++) {
+     for(j=1;j<=n;j++) {
-                                 if(flatdir[j] >0){
+       if(flatdir[j] >0){
-                                         printf(" p(%d)=%lf flat=%d ",j,p[j],flatdir[j]);
+         printf(" p(%d)=%lf flat=%d ",j,p[j],flatdir[j]);
-                                         fprintf(ficlog," p(%d)=%lf flat=%d ",j,p[j],flatdir[j]);
+         fprintf(ficlog," p(%d)=%lf flat=%d ",j,p[j],flatdir[j]);
-                                 }
+       }
-                                 /* printf("\n"); */
+       /* printf("\n"); */
-                                 /* fprintf(ficlog,"\n"); */
+       /* fprintf(ficlog,"\n"); */
-                         }
+     }
      /* if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret))) { /\* Did we reach enough precision? *\/ */
      if (2.0*fabs(fp-(*fret)) <= ftol) { /* Did we reach enough precision? */
        /* We could compare with a chi^2. chisquare(0.95,ddl=1)=3.84 */
- Line 2320  void powell(double p[], double **xi, int
+ Line 2673  void powell(double p[], double **xi, int
        }
  #endif
- #ifdef LINMINORIGINAL
- #else
-       free_ivector(flatdir,1,n);
- #endif
        free_vector(xit,1,n);
        free_vector(xits,1,n);
        free_vector(ptt,1,n);
- Line 2437  void powell(double p[], double **xi, int
+ Line 2786  void powell(double p[], double **xi, int
            }
            printf("\n");
            fprintf(ficlog,"\n");
+ #ifdef FLATSUP
+           free_vector(xit,1,n);
+           free_vector(xits,1,n);
+           free_vector(ptt,1,n);
+           free_vector(pt,1,n);
+           return;
+ #endif
          }
  #endif
          printf("Gaining to use new average direction of P0 P%d instead of biggest increase direction %d :\n",n,ibig);
- Line 2468  void powell(double p[], double **xi, int
+ Line 2824  void powell(double p[], double **xi, int
    double **prevalim(double **prlim, int nlstate, double x[], double age, double **oldm, double **savm, double ftolpl, int *ncvyear, int ij, int nres)
    {
-     /* Computes the prevalence limit in each live state at age x and for covariate combination ij
+     /**< Computes the prevalence limit in each live state at age x and for covariate combination ij
-        (and selected quantitative values in nres)
+      *   (and selected quantitative values in nres)
-        by left multiplying the unit
+      *  by left multiplying the unit
-        matrix by transitions matrix until convergence is reached with precision ftolpl */
+      *  matrix by transitions matrix until convergence is reached with precision ftolpl
-   /* Wx= Wx-1 Px-1= Wx-2 Px-2 Px-1  = Wx-n Px-n ... Px-2 Px-1 I */
+      * Wx= Wx-1 Px-1= Wx-2 Px-2 Px-1  = Wx-n Px-n ... Px-2 Px-1 I
-   /* Wx is row vector: population in state 1, population in state 2, population dead */
+      * Wx is row vector: population in state 1, population in state 2, population dead
-   /* or prevalence in state 1, prevalence in state 2, 0 */
+      * or prevalence in state 1, prevalence in state 2, 0
-   /* newm is the matrix after multiplications, its rows are identical at a factor */
+      * newm is the matrix after multiplications, its rows are identical at a factor.
-   /* Initial matrix pimij */
+      * Inputs are the parameter, age, a tolerance for the prevalence limit ftolpl.
+      * Output is prlim.
+      * Initial matrix pimij
+      */
    /* {0.85204250825084937, 0.13044499163996345, 0.017512500109187184, */
    /* 0.090851990222114765, 0.88271245433047185, 0.026435555447413338, */
    /*  0,                   0                  , 1} */
- Line 2490  void powell(double p[], double **xi, int
+ Line 2849  void powell(double p[], double **xi, int
    /*  0.51326036147820708, 0.48673963852179264} */
    /* If we start from prlim again, prlim tends to a constant matrix */
-   int i, ii,j,k;
+     int i, ii,j,k, k1;
    double *min, *max, *meandiff, maxmax,sumnew=0.;
    /* double **matprod2(); */ /* test */
    double **out, cov[NCOVMAX+1], **pmij(); /* **pmmij is a global variable feeded with oldms etc */
    double **newm;
    double agefin, delaymax=200. ; /* 100 Max number of years to converge */
    int ncvloop=0;
+   int first=0;
    min=vector(1,nlstate);
    max=vector(1,nlstate);
- Line 2517  void powell(double p[], double **xi, int
+ Line 2877  void powell(double p[], double **xi, int
      newm=savm;
      /* Covariates have to be included here again */
      cov[2]=agefin;
-     if(nagesqr==1)
+      if(nagesqr==1){
-       cov[3]= agefin*agefin;;
+       cov[3]= agefin*agefin;
-     for (k=1; k<=nsd;k++) { /* For single dummy covariates only */
+      }
-                         /* Here comes the value of the covariate 'ij' after renumbering k with single dummy covariates */
+      /* Model(2)  V1 + V2 + V3 + V8 + V7*V8 + V5*V6 + V8*age + V3*age + age*age */
-       cov[2+nagesqr+TvarsDind[k]]=nbcode[TvarsD[k]][codtabm(ij,k)];
+      /* total number of covariates of the model nbocc(+)+1 = 8 excepting constant and age and age*age */
-       /* printf("prevalim Dummy combi=%d k=%d TvarsD[%d]=V%d TvarsDind[%d]=%d nbcode=%d cov=%lf codtabm(%d,Tvar[%d])=%d \n",ij,k, k, TvarsD[k],k,TvarsDind[k],nbcode[TvarsD[k]][codtabm(ij,k)],cov[2+nagesqr+TvarsDind[k]], ij, k, codtabm(ij,k)); */
+      for(k1=1;k1<=cptcovt;k1++){ /* loop on model equation (including products) */
-     }
+        if(Typevar[k1]==1){ /* A product with age */
-     for (k=1; k<=nsq;k++) { /* For single varying covariates only */
+          cov[2+nagesqr+k1]=precov[nres][k1]*cov[2];
-                         /* Here comes the value of quantitative after renumbering k with single quantitative covariates */
+        }else{
-       cov[2+nagesqr+TvarsQind[k]]=Tqresult[nres][k];
+          cov[2+nagesqr+k1]=precov[nres][k1];
-       /* printf("prevalim Quantitative k=%d  TvarsQind[%d]=%d, TvarsQ[%d]=V%d,Tqresult[%d][%d]=%f\n",k,k,TvarsQind[k],k,TvarsQ[k],nres,k,Tqresult[nres][k]); */
+        }
-     }
+      }/* End of loop on model equation */
-     for (k=1; k<=cptcovage;k++){  /* For product with age */
-       if(Dummy[Tvar[Tage[k]]]){
+ /* Start of old code (replaced by a loop on position in the model equation */
-         cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
+     /* for (k=1; k<=nsd;k++) { /\* For single dummy covariates only of the model *\/ */
-       } else{
+     /*                  /\* Here comes the value of the covariate 'ij' after renumbering k with single dummy covariates *\/ */
-         cov[2+nagesqr+Tage[k]]=Tqresult[nres][k];
+     /*   /\* cov[2+nagesqr+TvarsDind[k]]=nbcode[TvarsD[k]][codtabm(ij,TvarsD[k])]; *\/ */
-       }
+     /*   cov[2+nagesqr+TvarsDind[k]]=nbcode[TvarsD[k]][codtabm(ij,TnsdVar[TvarsD[k]])]; */
-       /* printf("prevalim Age combi=%d k=%d  Tage[%d]=V%d Tqresult[%d][%d]=%f\n",ij,k,k,Tage[k],nres,k,Tqresult[nres][k]); */
+     /*   /\* model = 1 +age + V1*V3 + age*V1 + V2 + V1 + age*V2 + V3 + V3*age + V1*V2  */
-     }
+     /*    * k                  1        2      3    4      5      6     7        8 */
-     for (k=1; k<=cptcovprod;k++){ /* For product without age */
+     /*    *cov[]   1    2      3        4      5    6      7      8     9       10 */
-       /* printf("prevalim Prod ij=%d k=%d  Tprod[%d]=%d Tvard[%d][1]=V%d, Tvard[%d][2]=V%d\n",ij,k,k,Tprod[k], k,Tvard[k][1], k,Tvard[k][2]); */
+     /*    *TypeVar[k]          2        1      0    0      1      0     1        2 */
-       if(Dummy[Tvard[k][1]==0]){
+     /*    *Dummy[k]            0        2      0    0      2      0     2        0 */
-         if(Dummy[Tvard[k][2]==0]){
+     /*    *Tvar[k]             4        1      2    1      2      3     3        5 */
-           cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * nbcode[Tvard[k][2]][codtabm(ij,k)];
+     /*    *nsd=3                              (1)  (2)           (3) */
-         }else{
+     /*    *TvarsD[nsd]                      [1]=2    1             3 */
-           cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * Tqresult[nres][k];
+     /*    *TnsdVar                          [2]=2 [1]=1         [3]=3 */
-         }
+     /*    *TvarsDind[nsd](=k)               [1]=3 [2]=4         [3]=6 */
-       }else{
+     /*    *Tage[]                  [1]=1                  [2]=2      [3]=3 */
-         if(Dummy[Tvard[k][2]==0]){
+     /*    *Tvard[]       [1][1]=1                                           [2][1]=1 */
-           cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][2]][codtabm(ij,k)] * Tqinvresult[nres][Tvard[k][1]];
+     /*    *                   [1][2]=3                                           [2][2]=2 */
-         }else{
+     /*    *Tprod[](=k)     [1]=1                                              [2]=8 */
-           cov[2+nagesqr+Tprod[k]]=Tqinvresult[nres][Tvard[k][1]]*  Tqinvresult[nres][Tvard[k][2]];
+     /*    *TvarsDp(=Tvar)   [1]=1            [2]=2             [3]=3          [4]=5 */
-         }
+     /*    *TvarD (=k)       [1]=1            [2]=3 [3]=4       [3]=6          [4]=6 */
-       }
+     /*    *TvarsDpType */
-     }
+     /*    *si model= 1 + age + V3 + V2*age + V2 + V3*age */
+     /*    * nsd=1              (1)           (2) */
+     /*    *TvarsD[nsd]          3             2 */
+     /*    *TnsdVar           (3)=1          (2)=2 */
+     /*    *TvarsDind[nsd](=k)  [1]=1        [2]=3 */
+     /*    *Tage[]                  [1]=2           [2]= 3    */
+     /*    *\/ */
+     /*   /\* cov[++k1]=nbcode[TvarsD[k]][codtabm(ij,k)]; *\/ */
+     /*   /\* printf("prevalim Dummy combi=%d k=%d TvarsD[%d]=V%d TvarsDind[%d]=%d nbcode=%d cov=%lf codtabm(%d,Tvar[%d])=%d \n",ij,k, k, TvarsD[k],k,TvarsDind[k],nbcode[TvarsD[k]][codtabm(ij,k)],cov[2+nagesqr+TvarsDind[k]], ij, k, codtabm(ij,k)); *\/ */
+     /* } */
+     /* for (k=1; k<=nsq;k++) { /\* For single quantitative varying covariates only of the model *\/ */
+     /*                  /\* Here comes the value of quantitative after renumbering k with single quantitative covariates *\/ */
+     /*   /\* Tqresult[nres][result_position]= value of the variable at the result_position in the nres resultline                                 *\/ */
+     /*   /\* cov[2+nagesqr+TvarsQind[k]]=Tqresult[nres][k]; *\/ */
+     /*   cov[2+nagesqr+TvarsQind[k]]=Tqresult[nres][resultmodel[nres][k1]] */
+     /*   /\* cov[++k1]=Tqresult[nres][k];  *\/ */
+     /*   /\* printf("prevalim Quantitative k=%d  TvarsQind[%d]=%d, TvarsQ[%d]=V%d,Tqresult[%d][%d]=%f\n",k,k,TvarsQind[k],k,TvarsQ[k],nres,k,Tqresult[nres][k]); *\/ */
+     /* } */
+     /* for (k=1; k<=cptcovage;k++){  /\* For product with age *\/ */
+     /*   if(Dummy[Tage[k]]==2){ /\* dummy with age *\/ */
+     /*  cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,Tvar[Tage[k]])]*cov[2]; */
+     /*  /\* cov[++k1]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2]; *\/ */
+     /*   } else if(Dummy[Tage[k]]==3){ /\* quantitative with age *\/ */
+     /*  cov[2+nagesqr+Tage[k]]=Tqresult[nres][k]; */
+     /*  /\* cov[++k1]=Tqresult[nres][k];  *\/ */
+     /*   } */
+     /*   /\* printf("prevalim Age combi=%d k=%d  Tage[%d]=V%d Tqresult[%d][%d]=%f\n",ij,k,k,Tage[k],nres,k,Tqresult[nres][k]); *\/ */
+     /* } */
+     /* for (k=1; k<=cptcovprod;k++){ /\* For product without age *\/ */
+     /*   /\* printf("prevalim Prod ij=%d k=%d  Tprod[%d]=%d Tvard[%d][1]=V%d, Tvard[%d][2]=V%d\n",ij,k,k,Tprod[k], k,Tvard[k][1], k,Tvard[k][2]); *\/ */
+     /*   if(Dummy[Tvard[k][1]]==0){ */
+     /*  if(Dummy[Tvard[k][2]]==0){ */
+     /*    cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,Tvard[k][1])] * nbcode[Tvard[k][2]][codtabm(ij,Tvard[k][2])]; */
+     /*    /\* cov[++k1]=nbcode[Tvard[k][1]][codtabm(ij,k)] * nbcode[Tvard[k][2]][codtabm(ij,k)]; *\/ */
+     /*  }else{ */
+     /*    cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,Tvard[k][1])] * Tqresult[nres][k]; */
+     /*    /\* cov[++k1]=nbcode[Tvard[k][1]][codtabm(ij,k)] * Tqresult[nres][k]; *\/ */
+     /*  } */
+     /*   }else{ */
+     /*  if(Dummy[Tvard[k][2]]==0){ */
+     /*    cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][2]][codtabm(ij,Tvard[k][2])] * Tqinvresult[nres][Tvard[k][1]]; */
+     /*    /\* cov[++k1]=nbcode[Tvard[k][2]][codtabm(ij,k)] * Tqinvresult[nres][Tvard[k][1]]; *\/ */
+     /*  }else{ */
+     /*    cov[2+nagesqr+Tprod[k]]=Tqinvresult[nres][Tvard[k][1]]*  Tqinvresult[nres][Tvard[k][2]]; */
+     /*    /\* cov[++k1]=Tqinvresult[nres][Tvard[k][1]]*  Tqinvresult[nres][Tvard[k][2]]; *\/ */
+     /*  } */
+     /*   } */
+     /* } /\* End product without age *\/ */
+ /* ENd of old code */
      /*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 \n",ij, cov[3]);*/
      /* 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 *\/ */
-                 /* age and covariate values of ij are in 'cov' */
+     /* age and covariate values of ij are in 'cov' */
      out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /* Bug Valgrind */
      savm=oldm;
- Line 2593  void powell(double p[], double **xi, int
+ Line 3001  void powell(double p[], double **xi, int
        free_vector(meandiff,1,nlstate);
        return prlim;
      }
-   } /* age loop */
+   } /* agefin loop */
      /* After some age loop it doesn't converge */
-   printf("Warning: the stable prevalence at age %d did not converge with the required precision (%g > ftolpl=%g) within %.0f years. Try to lower 'ftolpl'. \n\
+   if(!first){
- Earliest age to start was %d-%d=%d, ncvloop=%d, ncvyear=%d\n", (int)age, maxmax, ftolpl, delaymax, (int)age, (int)delaymax, (int)agefin, ncvloop, *ncvyear);
+     first=1;
+     printf("Warning: the stable prevalence at age %d did not converge with the required precision (%g > ftolpl=%g) within %.d years and %d loops. Try to lower 'ftolpl'. Youngest age to start was %d=(%d-%d). Others in log file only...\n", (int)age, maxmax, ftolpl, *ncvyear, ncvloop, (int)(agefin+stepm/YEARM),  (int)(age-stepm/YEARM), (int)delaymax);
+     fprintf(ficlog, "Warning: the stable prevalence at age %d did not converge with the required precision (%g > ftolpl=%g) within %.d years and %d loops. Try to lower 'ftolpl'. Youngest age to start was %d=(%d-%d).\n", (int)age, maxmax, ftolpl, *ncvyear, ncvloop, (int)(agefin+stepm/YEARM),  (int)(age-stepm/YEARM), (int)delaymax);
+   }else if (first >=1 && first <10){
+     fprintf(ficlog, "Warning: the stable prevalence at age %d did not converge with the required precision (%g > ftolpl=%g) within %.d years and %d loops. Try to lower 'ftolpl'. Youngest age to start was %d=(%d-%d).\n", (int)age, maxmax, ftolpl, *ncvyear, ncvloop, (int)(agefin+stepm/YEARM),  (int)(age-stepm/YEARM), (int)delaymax);
+     first++;
+   }else if (first ==10){
+     fprintf(ficlog, "Warning: the stable prevalence at age %d did not converge with the required precision (%g > ftolpl=%g) within %.d years and %d loops. Try to lower 'ftolpl'. Youngest age to start was %d=(%d-%d).\n", (int)age, maxmax, ftolpl, *ncvyear, ncvloop, (int)(agefin+stepm/YEARM),  (int)(age-stepm/YEARM), (int)delaymax);
+     printf("Warning: the stable prevalence dit not converge. This warning came too often, IMaCh will stop notifying, even in its log file. Look at the graphs to appreciate the non convergence.\n");
+     fprintf(ficlog,"Warning: the stable prevalence no convergence; too many cases, giving up noticing, even in log file\n");
+     first++;
+   }
    /* Try to lower 'ftol', for example from 1.e-8 to 6.e-9.\n", ftolpl, (int)age, (int)delaymax, (int)agefin, ncvloop, (int)age-(int)agefin); */
    free_vector(min,1,nlstate);
    free_vector(max,1,nlstate);
- Line 2612  Earliest age to start was %d-%d=%d, ncvl
+ Line 3032  Earliest age to start was %d-%d=%d, ncvl
   /* double **bprevalim(double **bprlim, double ***prevacurrent, int nlstate, double x[], double age, double **oldm, double **savm, double **dnewm, double **doldm, double **dsavm, double ftolpl, int *ncvyear, int ij) */
    double **bprevalim(double **bprlim, double ***prevacurrent, int nlstate, double x[], double age, double ftolpl, int *ncvyear, int ij, int nres)
  {
-   /* Computes the prevalence limit in each live state at age x and covariate ij by left multiplying the unit
+   /* Computes the prevalence limit in each live state at age x and for covariate combination ij (<=2**cptcoveff) by left multiplying the unit
       matrix by transitions matrix until convergence is reached with precision ftolpl */
    /* Wx= Wx-1 Px-1= Wx-2 Px-2 Px-1  = Wx-n Px-n ... Px-2 Px-1 I */
    /* Wx is row vector: population in state 1, population in state 2, population dead */
- Line 2632  Earliest age to start was %d-%d=%d, ncvl
+ Line 3052  Earliest age to start was %d-%d=%d, ncvl
    /*  0.51326036147820708, 0.48673963852179264} */
    /* If we start from prlim again, prlim tends to a constant matrix */
-   int i, ii,j,k;
+   int i, ii,j,k, k1;
    int first=0;
    double *min, *max, *meandiff, maxmax,sumnew=0.;
    /* double **matprod2(); */ /* test */
- Line 2648  Earliest age to start was %d-%d=%d, ncvl
+ Line 3068  Earliest age to start was %d-%d=%d, ncvl
    max=vector(1,nlstate);
    meandiff=vector(1,nlstate);
-         dnewm=ddnewms; doldm=ddoldms; dsavm=ddsavms;
+   dnewm=ddnewms; doldm=ddoldms; dsavm=ddsavms;
-         oldm=oldms; savm=savms;
+   oldm=oldms; savm=savms;
-         /* Starting with matrix unity */
+   /* Starting with matrix unity */
-         for (ii=1;ii<=nlstate+ndeath;ii++)
+   for (ii=1;ii<=nlstate+ndeath;ii++)
-                 for (j=1;j<=nlstate+ndeath;j++){
+     for (j=1;j<=nlstate+ndeath;j++){
        oldm[ii][j]=(ii==j ? 1.0 : 0.0);
      }
- Line 2662  Earliest age to start was %d-%d=%d, ncvl
+ Line 3082  Earliest age to start was %d-%d=%d, ncvl
    /* Even if hstepm = 1, at least one multiplication by the unit matrix */
    /* Start at agefin= age, computes the matrix of passage and loops decreasing agefin until convergence is reached */
    /* for(agefin=age+stepm/YEARM; agefin<=age+delaymax; agefin=agefin+stepm/YEARM){ /\* A changer en age *\/ */
-   for(agefin=age; agefin<AGESUP; agefin=agefin+stepm/YEARM){ /* A changer en age */
+   /* for(agefin=age; agefin<AGESUP; agefin=agefin+stepm/YEARM){ /\* A changer en age *\/ */
+   for(agefin=age; agefin<FMIN(AGESUP,age+delaymax); agefin=agefin+stepm/YEARM){ /* A changer en age */
      ncvloop++;
      newm=savm; /* oldm should be kept from previous iteration or unity at start */
                  /* newm points to the allocated table savm passed by the function it can be written, savm could be reallocated */
      /* Covariates have to be included here again */
      cov[2]=agefin;
-     if(nagesqr==1)
+     if(nagesqr==1){
        cov[3]= agefin*agefin;;
-     for (k=1; k<=nsd;k++) { /* For single dummy covariates only */
+     }
-                         /* Here comes the value of the covariate 'ij' after renumbering k with single dummy covariates */
+     for(k1=1;k1<=cptcovt;k1++){ /* loop on model equation (including products) */
-       cov[2+nagesqr+TvarsDind[k]]=nbcode[TvarsD[k]][codtabm(ij,k)];
+       if(Typevar[k1]==1){ /* A product with age */
-       /* printf("bprevalim Dummy combi=%d k=%d TvarsD[%d]=V%d TvarsDind[%d]=%d nbcode=%d cov=%lf codtabm(%d,Tvar[%d])=%d \n",ij,k, k, TvarsD[k],k,TvarsDind[k],nbcode[TvarsD[k]][codtabm(ij,k)],cov[2+nagesqr+TvarsDind[k]], ij, k, codtabm(ij,k)); */
+         cov[2+nagesqr+k1]=precov[nres][k1]*cov[2];
-     }
-     /* for (k=1; k<=cptcovn;k++) { */
-     /*   /\* cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; *\/ */
-     /*   cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)]; */
-     /*   /\* printf("prevalim ij=%d k=%d Tvar[%d]=%d nbcode=%d cov=%lf codtabm(%d,Tvar[%d])=%d \n",ij,k, k, Tvar[k],nbcode[Tvar[k]][codtabm(ij,Tvar[k])],cov[2+k], ij, k, codtabm(ij,Tvar[k])]); *\/ */
-     /* } */
-     for (k=1; k<=nsq;k++) { /* For single varying covariates only */
-                         /* Here comes the value of quantitative after renumbering k with single quantitative covariates */
-       cov[2+nagesqr+TvarsQind[k]]=Tqresult[nres][k];
-       /* printf("prevalim Quantitative k=%d  TvarsQind[%d]=%d, TvarsQ[%d]=V%d,Tqresult[%d][%d]=%f\n",k,k,TvarsQind[k],k,TvarsQ[k],nres,k,Tqresult[nres][k]); */
-     }
-     /* for (k=1; k<=cptcovage;k++) cov[2+nagesqr+Tage[k]]=nbcode[Tvar[k]][codtabm(ij,k)]*cov[2]; */
-     /* for (k=1; k<=cptcovprod;k++) /\* Useless *\/ */
-     /*   /\* cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,Tvard[k][1])] * nbcode[Tvard[k][2]][codtabm(ij,Tvard[k][2])]; *\/ */
-     /*   cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * nbcode[Tvard[k][2]][codtabm(ij,k)]; */
-     for (k=1; k<=cptcovage;k++){  /* For product with age */
-       if(Dummy[Tvar[Tage[k]]]){
-         cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
-       } else{
-         cov[2+nagesqr+Tage[k]]=Tqresult[nres][k];
-       }
-       /* printf("prevalim Age combi=%d k=%d  Tage[%d]=V%d Tqresult[%d][%d]=%f\n",ij,k,k,Tage[k],nres,k,Tqresult[nres][k]); */
-     }
-     for (k=1; k<=cptcovprod;k++){ /* For product without age */
-       /* printf("prevalim Prod ij=%d k=%d  Tprod[%d]=%d Tvard[%d][1]=V%d, Tvard[%d][2]=V%d\n",ij,k,k,Tprod[k], k,Tvard[k][1], k,Tvard[k][2]); */
-       if(Dummy[Tvard[k][1]==0]){
-         if(Dummy[Tvard[k][2]==0]){
-           cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * nbcode[Tvard[k][2]][codtabm(ij,k)];
-         }else{
-           cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * Tqresult[nres][k];
-         }
        }else{
-         if(Dummy[Tvard[k][2]==0]){
+         cov[2+nagesqr+k1]=precov[nres][k1];
-           cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][2]][codtabm(ij,k)] * Tqinvresult[nres][Tvard[k][1]];
-         }else{
-           cov[2+nagesqr+Tprod[k]]=Tqinvresult[nres][Tvard[k][1]]*  Tqinvresult[nres][Tvard[k][2]];
-         }
        }
-     }
+     }/* End of loop on model equation */
+ /* Old code */
+     /* for (k=1; k<=nsd;k++) { /\* For single dummy covariates only *\/ */
+     /*                  /\* Here comes the value of the covariate 'ij' after renumbering k with single dummy covariates *\/ */
+     /*   cov[2+nagesqr+TvarsDind[k]]=nbcode[TvarsD[k]][codtabm(ij,TvarsD[k])]; */
+     /*   /\* printf("bprevalim Dummy agefin=%.0f combi=%d k=%d TvarsD[%d]=V%d TvarsDind[%d]=%d nbcode=%d cov[%d]=%lf codtabm(%d,Tvar[%d])=%d \n",agefin,ij,k, k, TvarsD[k],k,TvarsDind[k],nbcode[TvarsD[k]][codtabm(ij,k)],2+nagesqr+TvarsDind[k],cov[2+nagesqr+TvarsDind[k]], ij, k, codtabm(ij,k)); *\/ */
+     /* } */
+     /* /\* for (k=1; k<=cptcovn;k++) { *\/ */
+     /* /\*   /\\* cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; *\\/ *\/ */
+     /* /\*   cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)]; *\/ */
+     /* /\*   /\\* printf("prevalim ij=%d k=%d Tvar[%d]=%d nbcode=%d cov=%lf codtabm(%d,Tvar[%d])=%d \n",ij,k, k, Tvar[k],nbcode[Tvar[k]][codtabm(ij,Tvar[k])],cov[2+k], ij, k, codtabm(ij,Tvar[k])]); *\\/ *\/ */
+     /* /\* } *\/ */
+     /* for (k=1; k<=nsq;k++) { /\* For single varying covariates only *\/ */
+     /*                  /\* Here comes the value of quantitative after renumbering k with single quantitative covariates *\/ */
+     /*   cov[2+nagesqr+TvarsQind[k]]=Tqresult[nres][k];  */
+     /*   /\* printf("prevalim Quantitative k=%d  TvarsQind[%d]=%d, TvarsQ[%d]=V%d,Tqresult[%d][%d]=%f\n",k,k,TvarsQind[k],k,TvarsQ[k],nres,k,Tqresult[nres][k]); *\/ */
+     /* } */
+     /* /\* for (k=1; k<=cptcovage;k++) cov[2+nagesqr+Tage[k]]=nbcode[Tvar[k]][codtabm(ij,k)]*cov[2]; *\/ */
+     /* /\* for (k=1; k<=cptcovprod;k++) /\\* Useless *\\/ *\/ */
+     /* /\*   /\\* cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,Tvard[k][1])] * nbcode[Tvard[k][2]][codtabm(ij,Tvard[k][2])]; *\\/ *\/ */
+     /* /\*   cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * nbcode[Tvard[k][2]][codtabm(ij,k)]; *\/ */
+     /* for (k=1; k<=cptcovage;k++){  /\* For product with age *\/ */
+     /*   /\* if(Dummy[Tvar[Tage[k]]]== 2){ /\\* dummy with age *\\/ ERROR ???*\/ */
+     /*   if(Dummy[Tage[k]]== 2){ /\* dummy with age *\/ */
+     /*  cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,Tvar[Tage[k]])]*cov[2]; */
+     /*   } else if(Dummy[Tage[k]]== 3){ /\* quantitative with age *\/ */
+     /*  cov[2+nagesqr+Tage[k]]=Tqresult[nres][k]; */
+     /*   } */
+     /*   /\* printf("prevalim Age combi=%d k=%d  Tage[%d]=V%d Tqresult[%d][%d]=%f\n",ij,k,k,Tage[k],nres,k,Tqresult[nres][k]); *\/ */
+     /* } */
+     /* for (k=1; k<=cptcovprod;k++){ /\* For product without age *\/ */
+     /*   /\* printf("prevalim Prod ij=%d k=%d  Tprod[%d]=%d Tvard[%d][1]=V%d, Tvard[%d][2]=V%d\n",ij,k,k,Tprod[k], k,Tvard[k][1], k,Tvard[k][2]); *\/ */
+     /*   if(Dummy[Tvard[k][1]]==0){ */
+     /*  if(Dummy[Tvard[k][2]]==0){ */
+     /*    cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,Tvard[k][1])] * nbcode[Tvard[k][2]][codtabm(ij,Tvard[k][2])]; */
+     /*  }else{ */
+     /*    cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,Tvard[k][1])] * Tqresult[nres][k]; */
+     /*  } */
+     /*   }else{ */
+     /*  if(Dummy[Tvard[k][2]]==0){ */
+     /*    cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][2]][codtabm(ij,Tvard[k][2])] * Tqinvresult[nres][Tvard[k][1]]; */
+     /*  }else{ */
+     /*    cov[2+nagesqr+Tprod[k]]=Tqinvresult[nres][Tvard[k][1]]*  Tqinvresult[nres][Tvard[k][2]]; */
+     /*  } */
+     /*   } */
+     /* } */
      /*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]);*/
- Line 2727  Earliest age to start was %d-%d=%d, ncvl
+ Line 3160  Earliest age to start was %d-%d=%d, ncvl
      /* out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent, ageminpar, agemaxpar, dnewm, doldm, dsavm,ij)); /\* Bug Valgrind *\/ */
      /* out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent, dnewm, doldm, dsavm,ij)); /\* Bug Valgrind *\/ */
      out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent,ij)); /* Bug Valgrind */
+     /* if((int)age == 86 || (int)age == 87){ */
+     /*   printf(" Backward prevalim age=%d agefin=%d \n", (int) age, (int) agefin); */
+     /*   for(i=1; i<=nlstate+ndeath; i++) { */
+     /*  printf("%d newm= ",i); */
+     /*  for(j=1;j<=nlstate+ndeath;j++) { */
+     /*    printf("%f ",newm[i][j]); */
+     /*  } */
+     /*  printf("oldm * "); */
+     /*  for(j=1;j<=nlstate+ndeath;j++) { */
+     /*    printf("%f ",oldm[i][j]); */
+     /*  } */
+     /*  printf(" bmmij "); */
+     /*  for(j=1;j<=nlstate+ndeath;j++) { */
+     /*    printf("%f ",pmmij[i][j]); */
+     /*  } */
+     /*  printf("\n"); */
+     /*   } */
+     /* } */
      savm=oldm;
      oldm=newm;
      for(j=1; j<=nlstate; j++){
        max[j]=0.;
        min[j]=1.;
- Line 2744  Earliest age to start was %d-%d=%d, ncvl
+ Line 3196  Earliest age to start was %d-%d=%d, ncvl
      maxmax=0.;
      for(i=1; i<=nlstate; i++){
-       meandiff[i]=(max[i]-min[i])/(max[i]+min[i])*2.; /* mean difference for each column */
+       meandiff[i]=(max[i]-min[i])/(max[i]+min[i])*2.; /* mean difference for each column, could be nan! */
        maxmax=FMAX(maxmax,meandiff[i]);
        /* printf("Back age= %d meandiff[%d]=%f, agefin=%d max[%d]=%f min[%d]=%f maxmax=%f\n", (int)age, i, meandiff[i],(int)agefin, i, max[i], i, min[i],maxmax); */
-     } /* j loop */
+     } /* i loop */
      *ncvyear= -( (int)age- (int)agefin);
-     /* printf("Back maxmax=%lf ncvloop=%d, age=%d, agefin=%d ncvyear=%d \n", maxmax, ncvloop, (int)age, (int)agefin, *ncvyear);*/
+     /* printf("Back maxmax=%lf ncvloop=%d, age=%d, agefin=%d ncvyear=%d \n", maxmax, ncvloop, (int)age, (int)agefin, *ncvyear); */
      if(maxmax < ftolpl){
        /* printf("OK Back maxmax=%lf ncvloop=%d, age=%d, agefin=%d ncvyear=%d \n", maxmax, ncvloop, (int)age, (int)agefin, *ncvyear); */
        free_vector(min,1,nlstate);
- Line 2757  Earliest age to start was %d-%d=%d, ncvl
+ Line 3209  Earliest age to start was %d-%d=%d, ncvl
        free_vector(meandiff,1,nlstate);
        return bprlim;
      }
-   } /* age loop */
+   } /* agefin loop */
      /* After some age loop it doesn't converge */
-   if(first){
+   if(!first){
      first=1;
      printf("Warning: the back stable prevalence at age %d did not converge with the required precision (%g > ftolpl=%g) within %.0f years. Try to lower 'ftolpl'. Others in log file only...\n\
  Oldest age to start was %d-%d=%d, ncvloop=%d, ncvyear=%d\n", (int)age, maxmax, ftolpl, delaymax, (int)age, (int)delaymax, (int)agefin, ncvloop, *ncvyear);
- Line 2779  Oldest age to start was %d-%d=%d, ncvloo
+ Line 3231  Oldest age to start was %d-%d=%d, ncvloo
  double **pmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )
  {
    /* 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
+      computes the probability to be observed in state j (after stepm years) 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
- Line 2788  double **pmij(double **ps, double *cov,
+ Line 3240  double **pmij(double **ps, double *cov,
       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
+      Outputs ps[i][j] or probability to be observed in j being in i according to
       the values of the covariates cov[nc] and corresponding parameter values x[nc+shiftij]
+      Sum on j ps[i][j] should equal to 1.
    */
    double s1, lnpijopii;
    /*double t34;*/
- Line 2803  double **pmij(double **ps, double *cov,
+ Line 3256  double **pmij(double **ps, double *cov,
          /*       printf("Int j<i s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
        }
        ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
-       /*        printf("s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
+       /* printf("Debug pmij() i=%d j=%d nc=%d s1=%.17f, lnpijopii=%.17f\n",i,j,nc, s1,lnpijopii); */
      }
      for(j=i+1; j<=nlstate+ndeath;j++){
        for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
- Line 2812  double **pmij(double **ps, double *cov,
+ Line 3265  double **pmij(double **ps, double *cov,
          /*        printf("Int j>i s1=%.17e, lnpijopii=%.17e %lx %lx\n",s1,lnpijopii,s1,lnpijopii); */
        }
        ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
+       /* printf("Debug pmij() i=%d j=%d nc=%d s1=%.17f, lnpijopii=%.17f\n",i,j,nc, s1,lnpijopii); */
      }
    }
- Line 2819  double **pmij(double **ps, double *cov,
+ Line 3273  double **pmij(double **ps, double *cov,
      s1=0;
      for(j=1; j<i; j++){
        s1+=exp(ps[i][j]); /* In fact sums pij/pii */
-       /*printf("debug1 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
+       /* printf("debug1 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
      }
      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); */
+       /* 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];
+       ps[i][j]= exp(ps[i][j])*ps[i][i];/* Bug valgrind */
      for(j=i+1; j<=nlstate+ndeath; j++)
        ps[i][j]= exp(ps[i][j])*ps[i][i];
      /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */
- Line 2841  double **pmij(double **ps, double *cov,
+ Line 3295  double **pmij(double **ps, double *cov,
        ps[ii][ii]=1;
      }
    }
    /* for(ii=1; ii<= nlstate+ndeath; ii++){ */
    /*   for(jj=1; jj<= nlstate+ndeath; jj++){ */
    /*    printf(" pmij  ps[%d][%d]=%lf ",ii,jj,ps[ii][jj]); */
- Line 2853  double **pmij(double **ps, double *cov,
+ Line 3307  double **pmij(double **ps, double *cov,
    /*
      for(i=1; i<= npar; i++) printf("%f ",x[i]);
                  goto end;*/
-   return ps;
+   return ps; /* Pointer is unchanged since its call */
  }
  /*************** backward transition probabilities ***************/
- Line 2862  double **pmij(double **ps, double *cov,
+ Line 3316  double **pmij(double **ps, double *cov,
  /* double **bmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate,  double ***prevacurrent, double ***dnewm, double **doldm, double **dsavm, int ij ) */
   double **bmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate,  double ***prevacurrent, int ij )
  {
-   /* Computes the backward probability at age agefin and covariate ij
+   /* Computes the backward probability at age agefin, cov[2], and covariate combination 'ij'. In fact cov is already filled and x too.
-    * and returns in **ps as well as **bmij.
+    * Call to pmij(cov and x), call to cross prevalence, sums and inverses, left multiply, and returns in **ps as well as **bmij.
     */
    int i, ii, j,k;
    double **out, **pmij();
    double sumnew=0.;
    double agefin;
+   double k3=0.; /* constant of the w_x diagonal matrix (in order for B to sum to 1 even for death state) */
    double **dnewm, **dsavm, **doldm;
    double **bbmij;
    doldm=ddoldms; /* global pointers */
    dnewm=ddnewms;
    dsavm=ddsavms;
+   /* Debug */
+   /* printf("Bmij ij=%d, cov[2}=%f\n", ij, cov[2]); */
    agefin=cov[2];
+   /* Bx = Diag(w_x) P_x Diag(Sum_i w^i_x p^ij_x */
    /* bmij *//* age is cov[2], ij is included in cov, but we need for
-      the observed prevalence (with this covariate ij) */
+      the observed prevalence (with this covariate ij) at beginning of transition */
-   dsavm=pmij(pmmij,cov,ncovmodel,x,nlstate);
+   /* dsavm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
-   /* We do have the matrix Px in savm  and we need pij */
+   /* P_x */
+   pmmij=pmij(pmmij,cov,ncovmodel,x,nlstate); /*This is forward probability from agefin to agefin + stepm *//* Bug valgrind */
+   /* outputs pmmij which is a stochastic matrix in row */
+   /* Diag(w_x) */
+   /* Rescaling the cross-sectional prevalence: Problem with prevacurrent which can be zero */
+   sumnew=0.;
+   /*for (ii=1;ii<=nlstate+ndeath;ii++){*/
+   for (ii=1;ii<=nlstate;ii++){ /* Only on live states */
+     /* printf(" agefin=%d, ii=%d, ij=%d, prev=%f\n",(int)agefin,ii, ij, prevacurrent[(int)agefin][ii][ij]); */
+     sumnew+=prevacurrent[(int)agefin][ii][ij];
+   }
+   if(sumnew >0.01){  /* At least some value in the prevalence */
+     for (ii=1;ii<=nlstate+ndeath;ii++){
+       for (j=1;j<=nlstate+ndeath;j++)
+         doldm[ii][j]=(ii==j ? prevacurrent[(int)agefin][ii][ij]/sumnew : 0.0);
+     }
+   }else{
+     for (ii=1;ii<=nlstate+ndeath;ii++){
+       for (j=1;j<=nlstate+ndeath;j++)
+       doldm[ii][j]=(ii==j ? 1./nlstate : 0.0);
+     }
+     /* if(sumnew <0.9){ */
+     /*   printf("Problem internal bmij B: sum on i wi <0.9: j=%d, sum_i wi=%lf,agefin=%d\n",j,sumnew, (int)agefin); */
+     /* } */
+   }
+   k3=0.0;  /* We put the last diagonal to 0 */
+   for (ii=nlstate+1;ii<=nlstate+ndeath;ii++){
+       doldm[ii][ii]= k3;
+   }
+   /* End doldm, At the end doldm is diag[(w_i)] */
+   /* Left product of this diag matrix by pmmij=Px (dnewm=dsavm*doldm): diag[(w_i)*Px */
+   bbmij=matprod2(dnewm, doldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, pmmij); /* was a Bug Valgrind */
+   /* Diag(Sum_i w^i_x p^ij_x, should be the prevalence at age x+stepm */
+   /* w1 p11 + w2 p21 only on live states N1./N..*N11/N1. + N2./N..*N21/N2.=(N11+N21)/N..=N.1/N.. */
    for (j=1;j<=nlstate+ndeath;j++){
-     sumnew=0.; /* w1 p11 + w2 p21 only on live states */
+     sumnew=0.;
      for (ii=1;ii<=nlstate;ii++){
-       sumnew+=dsavm[ii][j]*prevacurrent[(int)agefin][ii][ij];
+       /* sumnew+=dsavm[ii][j]*prevacurrent[(int)agefin][ii][ij]; */
+       sumnew+=pmmij[ii][j]*doldm[ii][ii]; /* Yes prevalence at beginning of transition */
      } /* sumnew is (N11+N21)/N..= N.1/N.. = sum on i of w_i pij */
      for (ii=1;ii<=nlstate+ndeath;ii++){
-       if(sumnew >= 1.e-10){
          /* if(agefin >= agemaxpar && agefin <= agemaxpar+stepm/YEARM){ */
-         /*      doldm[ii][j]=(ii==j ? 1./sumnew : 0.0); */
+         /*      dsavm[ii][j]=(ii==j ? 1./sumnew : 0.0); */
          /* }else if(agefin >= agemaxpar+stepm/YEARM){ */
-         /*      doldm[ii][j]=(ii==j ? 1./sumnew : 0.0); */
+         /*      dsavm[ii][j]=(ii==j ? 1./sumnew : 0.0); */
          /* }else */
-         doldm[ii][j]=(ii==j ? 1./sumnew : 0.0);
+       dsavm[ii][j]=(ii==j ? 1./sumnew : 0.0);
-       }else{
-         ;
-         /* printf("ii=%d, i=%d, doldm=%lf dsavm=%lf, probs=%lf, sumnew=%lf,agefin=%d\n",ii,j,doldm[ii][j],dsavm[ii][j],prevacurrent[(int)agefin][ii][ij],sumnew, (int)agefin); */
-       }
      } /*End ii */
-   } /* End j, At the end doldm is diag[1/(w_1p1i+w_2 p2i)] */
+   } /* End j, At the end dsavm is diag[1/(w_1p1i+w_2 p2i)] for ALL states even if the sum is only for live states */
-   /* left Product of this diag matrix by dsavm=Px (newm=dsavm*doldm) */
-   bbmij=matprod2(dnewm, dsavm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, doldm); /* Bug Valgrind */
+   ps=matprod2(ps, dnewm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, dsavm); /* was a Bug Valgrind */
-   /* dsavm=doldm; /\* dsavm is now diag [1/(w_1p1i+w_2 p2i)] but can be overwritten*\/ */
+   /* ps is now diag[w_i] * Px * diag [1/(w_1p1i+w_2 p2i)] */
-   /* doldm=dnewm; /\* doldm is now Px * diag [1/(w_1p1i+w_2 p2i)] *\/ */
-   /* dnewm=dsavm; /\* doldm is now Px * diag [1/(w_1p1i+w_2 p2i)] *\/ */
-   /* left Product of this matrix by diag matrix of prevalences (savm) */
-   for (j=1;j<=nlstate+ndeath;j++){
-     for (ii=1;ii<=nlstate+ndeath;ii++){
-       dsavm[ii][j]=(ii==j ? prevacurrent[(int)agefin][ii][ij] : 0.0);
-     }
-   } /* End j, At the end oldm is diag[1/(w_1p1i+w_2 p2i)] */
-   ps=matprod2(doldm, dsavm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, dnewm); /* Bug Valgrind */
-   /* newm or out is now diag[w_i] * Px * diag [1/(w_1p1i+w_2 p2i)] */
    /* end bmij */
-   return ps;
+   return ps; /*pointer is unchanged */
  }
  /*************** transition probabilities ***************/
- Line 2985  double **bpmij(double **ps, double *cov,
+ Line 3465  double **bpmij(double **ps, double *cov,
        ps[ii][ii]=1;
      }
    }
-   /* Added for backcast */ /* Transposed matrix too */
+   /* Added for prevbcast */ /* Transposed matrix too */
    for(jj=1; jj<= nlstate+ndeath; jj++){
      s1=0.;
      for(ii=1; ii<= nlstate+ndeath; ii++){
- Line 3041  double **matprod2(double **out, double *
+ Line 3521  double **matprod2(double **out, double *
  double ***hpxij(double ***po, int nhstepm, double age, int hstepm, double *x, int nlstate, int stepm, double **oldm, double **savm, int ij, int nres )
  {
-   /* Computes the transition matrix starting at age 'age' and combination of covariate values corresponding to ij over
+   /* Already optimized with precov.
+      Computes the transition matrix starting at age 'age' and dummies values in each resultline (loop on ij to find the corresponding combination) to over
       'nhstepm*hstepm*stepm' months (i.e. until
       age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying
       nhstepm*hstepm matrices.
- Line 3053  double ***hpxij(double ***po, int nhstep
+ Line 3534  double ***hpxij(double ***po, int nhstep
       */
-   int i, j, d, h, k;
+   int i, j, d, h, k, k1;
    double **out, cov[NCOVMAX+1];
    double **newm;
    double agexact;
- Line 3073  double ***hpxij(double ***po, int nhstep
+ Line 3554  double ***hpxij(double ***po, int nhstep
        cov[1]=1.;
        agexact=age+((h-1)*hstepm + (d-1))*stepm/YEARM; /* age just before transition */
        cov[2]=agexact;
-       if(nagesqr==1)
+       if(nagesqr==1){
          cov[3]= agexact*agexact;
-       for (k=1; k<=nsd;k++) { /* For single dummy covariates only */
-                         /* Here comes the value of the covariate 'ij' after renumbering k with single dummy covariates */
-         cov[2+nagesqr+TvarsDind[k]]=nbcode[TvarsD[k]][codtabm(ij,k)];
-         /* printf("hpxij Dummy combi=%d k=%d TvarsD[%d]=V%d TvarsDind[%d]=%d nbcode=%d cov=%lf codtabm(%d,Tvar[%d])=%d \n",ij,k, k, TvarsD[k],k,TvarsDind[k],nbcode[TvarsD[k]][codtabm(ij,k)],cov[2+nagesqr+TvarsDind[k]], ij, k, codtabm(ij,k)); */
-       }
-       for (k=1; k<=nsq;k++) { /* For single varying covariates only */
-         /* Here comes the value of quantitative after renumbering k with single quantitative covariates */
-         cov[2+nagesqr+TvarsQind[k]]=Tqresult[nres][k];
-         /* printf("hPxij Quantitative k=%d  TvarsQind[%d]=%d, TvarsQ[%d]=V%d,Tqresult[%d][%d]=%f\n",k,k,TvarsQind[k],k,TvarsQ[k],nres,k,Tqresult[nres][k]); */
-       }
-       for (k=1; k<=cptcovage;k++){
-         if(Dummy[Tvar[Tage[k]]]){
-           cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
-         } else{
-           cov[2+nagesqr+Tage[k]]=Tqresult[nres][k];
-         }
-         /* printf("hPxij Age combi=%d k=%d  Tage[%d]=V%d Tqresult[%d][%d]=%f\n",ij,k,k,Tage[k],nres,k,Tqresult[nres][k]); */
-       }
-       for (k=1; k<=cptcovprod;k++){ /*  */
-         /* printf("hPxij Prod ij=%d k=%d  Tprod[%d]=%d Tvard[%d][1]=V%d, Tvard[%d][2]=V%d\n",ij,k,k,Tprod[k], k,Tvard[k][1], k,Tvard[k][2]); */
-         cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * nbcode[Tvard[k][2]][codtabm(ij,k)];
        }
+       /* Model(2)  V1 + V2 + V3 + V8 + V7*V8 + V5*V6 + V8*age + V3*age + age*age */
+       /* total number of covariates of the model nbocc(+)+1 = 8 excepting constant and age and age*age */
+       for(k1=1;k1<=cptcovt;k1++){ /* loop on model equation (including products) */
+         if(Typevar[k1]==1){ /* A product with age */
+           cov[2+nagesqr+k1]=precov[nres][k1]*cov[2];
+         }else{
+           cov[2+nagesqr+k1]=precov[nres][k1];
+         }
+       }/* End of loop on model equation */
+         /* Old code */
+ /*      if( Dummy[k1]==0 && Typevar[k1]==0 ){ /\* Single dummy  *\/ */
+ /* /\*     V(Tvarsel)=Tvalsel=Tresult[nres][pos](value); V(Tvresult[nres][pos] (variable): V(variable)=value) *\/ */
+ /* /\*       for (k=1; k<=nsd;k++) { /\\* For single dummy covariates only *\\/ *\/ */
+ /* /\* /\\* Here comes the value of the covariate 'ij' after renumbering k with single dummy covariates *\\/ *\/ */
+ /*      /\* codtabm(ij,k)  (1 & (ij-1) >> (k-1))+1 *\/ */
+ /* /\*             V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 *\/ */
+ /* /\*    k        1  2   3   4     5    6    7     8    9 *\/ */
+ /* /\*Tvar[k]=     5  4   3   6     5    2    7     1    1 *\/ */
+ /* /\*    nsd         1   2                              3 *\/ /\* Counting single dummies covar fixed or tv *\/ */
+ /* /\*TvarsD[nsd]     4   3                              1 *\/ /\* ID of single dummy cova fixed or timevary*\/ */
+ /* /\*TvarsDind[k]    2   3                              9 *\/ /\* position K of single dummy cova *\/ */
+ /*        /\* cov[2+nagesqr+TvarsDind[k]]=nbcode[TvarsD[k]][codtabm(ij,k)];or [codtabm(ij,TnsdVar[TvarsD[k]] *\/ */
+ /*        cov[2+nagesqr+k1]=Tresult[nres][resultmodel[nres][k1]]; */
+ /*        /\* printf("hpxij Dummy combi=%d k=%d TvarsD[%d]=V%d TvarsDind[%d]=%d nbcode=%d cov=%lf codtabm(%d,TnsdVar[TvarsD[%d])=%d \n",ij,k, k, TvarsD[k],k,TvarsDind[k],nbcode[TvarsD[k]][codtabm(ij,TnsdVar[TvarsD[k]])],cov[2+nagesqr+TvarsDind[k]], ij, k, codtabm(ij,TnsdVar[TvarsD[k]])); *\/ */
+ /*        printf("hpxij Dummy combi=%d k1=%d Tvar[%d]=V%d cov[2+%d+%d]=%lf resultmodel[nres][%d]=%d nres/nresult=%d/%d \n",ij,k1,k1, Tvar[k1],nagesqr,k1,cov[2+nagesqr+k1],k1,resultmodel[nres][k1],nres,nresult); */
+ /*        printf("hpxij new Dummy precov[nres=%d][k1=%d]=%.4f\n", nres, k1, precov[nres][k1]); */
+ /*      }else if( Dummy[k1]==1 && Typevar[k1]==0 ){ /\* Single quantitative variables  *\/ */
+ /*        /\* resultmodel[nres][k1]=k3: k1th position in the model correspond to the k3 position in the resultline *\/ */
+ /*        cov[2+nagesqr+k1]=Tqresult[nres][resultmodel[nres][k1]];  */
+ /*        /\* for (k=1; k<=nsq;k++) { /\\* For single varying covariates only *\\/ *\/ */
+ /*        /\*   /\\* Here comes the value of quantitative after renumbering k with single quantitative covariates *\\/ *\/ */
+ /*        /\*   cov[2+nagesqr+TvarsQind[k]]=Tqresult[nres][k]; *\/ */
+ /*        printf("hPxij Quantitative k1=%d resultmodel[nres][%d]=%d,Tqresult[%d][%d]=%f\n",k1,k1,resultmodel[nres][k1],nres,resultmodel[nres][k1],Tqresult[nres][resultmodel[nres][k1]]); */
+ /*        printf("hpxij new Quanti precov[nres=%d][k1=%d]=%.4f\n", nres, k1, precov[nres][k1]); */
+ /*      }else if( Dummy[k1]==2 ){ /\* For dummy with age product *\/ */
+ /*        /\* Tvar[k1] Variable in the age product age*V1 is 1 *\/ */
+ /*        /\* [Tinvresult[nres][V1] is its value in the resultline nres *\/ */
+ /*        cov[2+nagesqr+k1]=TinvDoQresult[nres][Tvar[k1]]*cov[2]; */
+ /*        printf("DhPxij Dummy with age k1=%d Tvar[%d]=%d TinvDoQresult[nres=%d][%d]=%.f age=%.2f,cov[2+%d+%d]=%.3f\n",k1,k1,Tvar[k1],nres,TinvDoQresult[nres][Tvar[k1]],cov[2],nagesqr,k1,cov[2+nagesqr+k1]); */
+ /*        printf("hpxij new Dummy with age product precov[nres=%d][k1=%d]=%.4f * age=%.2f\n", nres, k1, precov[nres][k1], cov[2]); */
+ /*        /\* cov[2+nagesqr+k1]=Tresult[nres][resultmodel[nres][k1]];    *\/ */
+ /*        /\* for (k=1; k<=cptcovage;k++){ /\\* For product with age V1+V1*age +V4 +age*V3 *\\/ *\/ */
+ /*        /\* 1+2 Tage[1]=2 TVar[2]=1 Dummy[2]=2, Tage[2]=4 TVar[4]=3 Dummy[4]=3 quant*\/ */
+ /*        /\* *\/ */
+ /* /\*             V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 *\/ */
+ /* /\*    k        1  2   3   4     5    6    7     8    9 *\/ */
+ /* /\*Tvar[k]=     5  4   3   6     5    2    7     1    1 *\/ */
+ /* /\*cptcovage=2                   1               2      *\/ */
+ /* /\*Tage[k]=                      5               8      *\/   */
+ /*      }else if( Dummy[k1]==3 ){ /\* For quant with age product *\/ */
+ /*        cov[2+nagesqr+k1]=Tresult[nres][resultmodel[nres][k1]];        */
+ /*        printf("QhPxij Quant with age k1=%d resultmodel[nres][%d]=%d,Tqresult[%d][%d]=%f\n",k1,k1,resultmodel[nres][k1],nres,resultmodel[nres][k1],Tqresult[nres][resultmodel[nres][k1]]); */
+ /*        printf("hpxij new Quanti with age product precov[nres=%d][k1=%d] * age=%.2f\n", nres, k1, precov[nres][k1], cov[2]); */
+ /*        /\* if(Dummy[Tage[k]]== 2){ /\\* dummy with age *\\/ *\/ */
+ /*        /\* /\\* if(Dummy[Tvar[Tage[k]]]== 2){ /\\\* dummy with age *\\\/ *\\/ *\/ */
+ /*        /\*   /\\* cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2]; *\\/ *\/ */
+ /*        /\*   /\\* cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,TnsdVar[TvarsD[Tvar[Tage[k]]]])]*cov[2]; *\\/ *\/ */
+ /*        /\*   cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,TnsdVar[TvarsD[Tvar[Tage[k]]]])]*cov[2]; *\/ */
+ /*        /\*   printf("hPxij Age combi=%d k=%d cptcovage=%d Tage[%d]=%d Tvar[Tage[%d]]=V%d nbcode[Tvar[Tage[k]]][codtabm(ij,TnsdVar[Tvar[Tage[k]]]])]=%d nres=%d\n",ij,k,cptcovage,k,Tage[k],k,Tvar[Tage[k]], nbcode[Tvar[Tage[k]]][codtabm(ij,TnsdVar[Tvar[Tage[k]]])],nres); *\/ */
+ /*        /\* } else if(Dummy[Tage[k]]== 3){ /\\* quantitative with age *\\/ *\/ */
+ /*        /\*   cov[2+nagesqr+Tage[k]]=Tqresult[nres][k]; *\/ */
+ /*        /\* } *\/ */
+ /*        /\* printf("hPxij Age combi=%d k=%d  Tage[%d]=V%d Tqresult[%d][%d]=%f\n",ij,k,k,Tage[k],nres,k,Tqresult[nres][k]); *\/ */
+ /*      }else if(Typevar[k1]==2 ){ /\* For product (not with age) *\/ */
+ /* /\*       for (k=1; k<=cptcovprod;k++){ /\\*  For product without age *\\/ *\/ */
+ /* /\* /\\*             V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 *\\/ *\/ */
+ /* /\* /\\*    k        1  2   3   4     5    6    7     8    9 *\\/ *\/ */
+ /* /\* /\\*Tvar[k]=     5  4   3   6     5    2    7     1    1 *\\/ *\/ */
+ /* /\* /\\*cptcovprod=1            1               2            *\\/ *\/ */
+ /* /\* /\\*Tprod[]=                4               7            *\\/ *\/ */
+ /* /\* /\\*Tvard[][1]             4               1             *\\/ *\/ */
+ /* /\* /\\*Tvard[][2]               3               2           *\\/ *\/ */
+ /*        /\* printf("hPxij Prod ij=%d k=%d  Tprod[%d]=%d Tvard[%d][1]=V%d, Tvard[%d][2]=V%d nbcode[Tvard[k][1]][codtabm(ij,Tvard[k][1])]=%d nbcode[Tvard[k][2]][codtabm(ij,Tvard[k][1])]=%d\n",ij,k,k,Tprod[k], k,Tvard[k][1], k,Tvard[k][2],nbcode[Tvard[k][1]][codtabm(ij,Tvard[k][1])],nbcode[Tvard[k][2]][codtabm(ij,Tvard[k][2])]); *\/ */
+ /*        /\* cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * nbcode[Tvard[k][2]][codtabm(ij,k)]; *\/ */
+ /*        cov[2+nagesqr+k1]=TinvDoQresult[nres][Tvardk[k1][1]] * TinvDoQresult[nres][Tvardk[k1][2]];     */
+ /*        printf("hPxij Prod ij=%d k1=%d  cov[2+%d+%d]=%.5f Tvard[%d][1]=V%d * Tvard[%d][2]=V%d ; TinvDoQresult[nres][Tvardk[k1][1]]=%.4f * TinvDoQresult[nres][Tvardk[k1][1]]=%.4f\n",ij,k1,nagesqr,k1,cov[2+nagesqr+k1],k1,Tvardk[k1][1], k1,Tvardk[k1][2], TinvDoQresult[nres][Tvardk[k1][1]], TinvDoQresult[nres][Tvardk[k1][2]]); */
+ /*        printf("hpxij new Product no age product precov[nres=%d][k1=%d]=%.4f\n", nres, k1, precov[nres][k1]); */
+ /*        /\* if(Dummy[Tvardk[k1][1]]==0){ *\/ */
+ /*        /\*   if(Dummy[Tvardk[k1][2]]==0){ /\\* Product of dummies *\\/ *\/ */
+ /*            /\* cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * nbcode[Tvard[k][2]][codtabm(ij,k)]; *\/ */
+ /*            /\* cov[2+nagesqr+k1]=Tinvresult[nres][Tvardk[k1][1]] * Tinvresult[nres][Tvardk[k1][2]];   *\/ */
+ /*            /\* cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,TnsdVar[Tvard[k][1]])] * nbcode[Tvard[k][2]][codtabm(ij,TnsdVar[Tvard[k][2]])]; *\/ */
+ /*          /\* }else{ /\\* Product of dummy by quantitative *\\/ *\/ */
+ /*            /\* cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,TnsdVar[Tvard[k][1]])] * Tqresult[nres][k]; *\/ */
+ /*            /\* cov[2+nagesqr+k1]=Tresult[nres][Tinvresult[nres][Tvardk[k1][1]]] * Tqresult[nres][Tinvresult[nres][Tvardk[k1][2]]]; *\/ */
+ /*        /\*   } *\/ */
+ /*        /\* }else{ /\\* Product of quantitative by...*\\/ *\/ */
+ /*        /\*   if(Dummy[Tvard[k][2]]==0){  /\\* quant by dummy *\\/ *\/ */
+ /*        /\*     /\\* cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][2]][codtabm(ij,TnsdVar[Tvard[k][2]])] * Tqinvresult[nres][Tvard[k][1]]; *\\/ *\/ */
+ /*        /\*     cov[2+nagesqr+k1]=Tqresult[nres][Tinvresult[nres][Tvardk[k1][1]]] * Tresult[nres][Tinvresult[nres][Tvardk[k1][2]]]  ; *\/ */
+ /*        /\*   }else{ /\\* Product of two quant *\\/ *\/ */
+ /*        /\*     /\\* cov[2+nagesqr+Tprod[k]]=Tqinvresult[nres][Tvard[k][1]]*  Tqinvresult[nres][Tvard[k][2]]; *\\/ *\/ */
+ /*        /\*     cov[2+nagesqr+k1]=Tqresult[nres][Tinvresult[nres][Tvardk[k1][1]]] * Tqresult[nres][Tinvresult[nres][Tvardk[k1][2]]]  ; *\/ */
+ /*        /\*   } *\/ */
+ /*        /\* }/\\*end of products quantitative *\\/ *\/ */
+ /*      }/\*end of products *\/ */
+       /* } /\* End of loop on model equation *\/ */
        /* for (k=1; k<=cptcovn;k++)  */
        /*        cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)]; */
        /* for (k=1; k<=cptcovage;k++) /\* Should start at cptcovn+1 *\/ */
- Line 3107  double ***hpxij(double ***po, int nhstep
+ Line 3667  double ***hpxij(double ***po, int nhstep
        /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/
        /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/
-                         /* right multiplication of oldm by the current matrix */
+       /* right multiplication of oldm by the current matrix */
        out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath,
                     pmij(pmmij,cov,ncovmodel,x,nlstate));
        /* if((int)age == 70){ */
- Line 3129  double ***hpxij(double ***po, int nhstep
+ Line 3689  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];
+         po[i][j][h]=newm[i][j];
-                                 /*if(h==nhstepm) printf("po[%d][%d][%d]=%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); */
+   /*     printf("\n H=%d \n",h); */
    return po;
  }
  /************* Higher Back Matrix Product ***************/
  /* double ***hbxij(double ***po, int nhstepm, double age, int hstepm, double *x, double ***prevacurrent, int nlstate, int stepm, double **oldm, double **savm, double **dnewm, double **doldm, double **dsavm, int ij ) */
- double ***hbxij(double ***po, int nhstepm, double age, int hstepm, double *x, double ***prevacurrent, int nlstate, int stepm, int ij )
+ double ***hbxij(double ***po, int nhstepm, double age, int hstepm, double *x, double ***prevacurrent, int nlstate, int stepm, int ij, int nres )
  {
-   /* Computes the transition matrix starting at age 'age' over
+   /* For dummy covariates given in each resultline (for historical, computes the corresponding combination ij),
+      computes the transition matrix starting at age 'age' over
       'nhstepm*hstepm*stepm' months (i.e. until
       age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying
       nhstepm*hstepm matrices.
- Line 3150  double ***hbxij(double ***po, int nhstep
+ Line 3711  double ***hbxij(double ***po, int nhstep
       (typically every 2 years instead of every month which is too big
       for the memory).
       Model is determined by parameters x and covariates have to be
-      included manually here.
+      included manually here. Then we use a call to bmij(x and cov)
+      The addresss of po (p3mat allocated to the dimension of nhstepm) should be stored for output
    */
-   int i, j, d, h, k;
+   int i, j, d, h, k, k1;
-   double **out, cov[NCOVMAX+1];
+   double **out, cov[NCOVMAX+1], **bmij();
-   double **newm;
+   double **newm, ***newmm;
    double agexact;
    double agebegin, ageend;
    double **oldm, **savm;
-   oldm=oldms;savm=savms;
+   newmm=po; /* To be saved */
+   oldm=oldms;savm=savms; /* Global pointers */
    /* Hstepm could be zero and should return the unit matrix */
    for (i=1;i<=nlstate+ndeath;i++)
      for (j=1;j<=nlstate+ndeath;j++){
- Line 3174  double ***hbxij(double ***po, int nhstep
+ Line 3736  double ***hbxij(double ***po, int nhstep
        newm=savm;
        /* Covariates have to be included here again */
        cov[1]=1.;
-       agexact=age-((h-1)*hstepm + (d-1))*stepm/YEARM; /* age just before transition */
+       agexact=age-( (h-1)*hstepm + (d)  )*stepm/YEARM; /* age just before transition, d or d-1? */
        /* agexact=age+((h-1)*hstepm + (d-1))*stepm/YEARM; /\* age just before transition *\/ */
+         /* Debug */
+       /* printf("hBxij age=%lf, agexact=%lf\n", age, agexact); */
        cov[2]=agexact;
-       if(nagesqr==1)
+       if(nagesqr==1){
          cov[3]= agexact*agexact;
-       for (k=1; k<=cptcovn;k++)
+       }
-         cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)];
+       /** New code */
-       /* cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
+       for(k1=1;k1<=cptcovt;k1++){ /* loop on model equation (including products) */
-       for (k=1; k<=cptcovage;k++) /* Should start at cptcovn+1 */
+         if(Typevar[k1]==1){ /* A product with age */
-         /* cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
+           cov[2+nagesqr+k1]=precov[nres][k1]*cov[2];
-         cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
+         }else{
-       /* cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,Tvar[Tage[k]])]*cov[2]; */
+           cov[2+nagesqr+k1]=precov[nres][k1];
-       for (k=1; k<=cptcovprod;k++) /* Useless because included in cptcovn */
+         }
-         cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)]*nbcode[Tvard[k][2]][codtabm(ij,k)];
+       }/* End of loop on model equation */
-       /* cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,Tvard[k][1])]*nbcode[Tvard[k][2]][codtabm(ij,Tvard[k][2])]; */
+       /** End of new code */
+   /** This was old code */
+       /* for (k=1; k<=nsd;k++){ /\* For single dummy covariates only *\//\* cptcovn error *\/ */
-       /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/
+       /* /\*    cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)]; *\/ */
-       /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/
+       /* /\* /\\* cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; *\\/ *\/ */
+       /*        cov[2+nagesqr+TvarsDind[k]]=nbcode[TvarsD[k]][codtabm(ij,TvarsD[k])];/\* Bug valgrind *\/ */
+       /*   /\* printf("hbxij Dummy agexact=%.0f combi=%d k=%d TvarsD[%d]=V%d TvarsDind[%d]=%d nbcode=%d cov[%d]=%lf codtabm(%d,Tvar[%d])=%d \n",agexact,ij,k, k, TvarsD[k],k,TvarsDind[k],nbcode[TvarsD[k]][codtabm(ij,k)],2+nagesqr+TvarsDind[k],cov[2+nagesqr+TvarsDind[k]], ij, k, codtabm(ij,k)); *\/ */
+       /* } */
+       /* for (k=1; k<=nsq;k++) { /\* For single varying covariates only *\/ */
+       /*        /\* Here comes the value of quantitative after renumbering k with single quantitative covariates *\/ */
+       /*        cov[2+nagesqr+TvarsQind[k]]=Tqresult[nres][k];  */
+       /*        /\* printf("hPxij Quantitative k=%d  TvarsQind[%d]=%d, TvarsQ[%d]=V%d,Tqresult[%d][%d]=%f\n",k,k,TvarsQind[k],k,TvarsQ[k],nres,k,Tqresult[nres][k]); *\/ */
+       /* } */
+       /* for (k=1; k<=cptcovage;k++){ /\* Should start at cptcovn+1 *\//\* For product with age *\/ */
+       /*        /\* if(Dummy[Tvar[Tage[k]]]== 2){ /\\* dummy with age error!!!*\\/ *\/ */
+       /*        if(Dummy[Tage[k]]== 2){ /\* dummy with age *\/ */
+       /*          cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,Tvar[Tage[k]])]*cov[2]; */
+       /*        } else if(Dummy[Tage[k]]== 3){ /\* quantitative with age *\/ */
+       /*          cov[2+nagesqr+Tage[k]]=Tqresult[nres][k];  */
+       /*        } */
+       /*        /\* printf("hBxij Age combi=%d k=%d  Tage[%d]=V%d Tqresult[%d][%d]=%f\n",ij,k,k,Tage[k],nres,k,Tqresult[nres][k]); *\/ */
+       /* } */
+       /* for (k=1; k<=cptcovprod;k++){ /\* Useless because included in cptcovn *\/ */
+       /*        cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,Tvard[k][1])]*nbcode[Tvard[k][2]][codtabm(ij,Tvard[k][2])]; */
+       /*        if(Dummy[Tvard[k][1]]==0){ */
+       /*          if(Dummy[Tvard[k][2]]==0){ */
+       /*            cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,Tvard[k][1])] * nbcode[Tvard[k][2]][codtabm(ij,Tvard[k][1])]; */
+       /*          }else{ */
+       /*            cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,Tvard[k][1])] * Tqresult[nres][k]; */
+       /*          } */
+       /*        }else{ */
+       /*          if(Dummy[Tvard[k][2]]==0){ */
+       /*            cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][2]][codtabm(ij,Tvard[k][2])] * Tqinvresult[nres][Tvard[k][1]]; */
+       /*          }else{ */
+       /*            cov[2+nagesqr+Tprod[k]]=Tqinvresult[nres][Tvard[k][1]]*  Tqinvresult[nres][Tvard[k][2]]; */
+       /*          } */
+       /*        } */
+       /* }                       */
+       /* /\*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*\/ */
+       /* /\*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*\/ */
+ /** End of old code */
        /* Careful transposed matrix */
-       /* age is in cov[2] */
+       /* age is in cov[2], prevacurrent at beginning of transition. */
        /* out=matprod2(newm, bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent, dnewm, doldm, dsavm,ij),\ */
        /*                                                 1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); */
        out=matprod2(newm, bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent,ij),\
-,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm);
+,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm);/* Bug valgrind */
        /* if((int)age == 70){ */
        /*        printf(" Backward hbxij age=%d agexact=%f d=%d nhstepm=%d hstepm=%d\n", (int) age, agexact, d, nhstepm, hstepm); */
        /*        for(i=1; i<=nlstate+ndeath; i++) { */
- Line 3219  double ***hbxij(double ***po, int nhstep
+ Line 3820  double ***hbxij(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];
-         /*if(h==nhstepm) printf("po[%d][%d][%d]=%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);*/
+     /* printf("h=%d %.1f ",h, agexact); */
    } /* end h */
-   /*     printf("\n H=%d \n",h); */
+   /* printf("\n H=%d nhs=%d \n",h, nhstepm); */
    return po;
  }
- Line 3251  double ***hbxij(double ***po, int nhstep
+ Line 3853  double ***hbxij(double ***po, int nhstep
  /*************** log-likelihood *************/
  double func( double *x)
  {
-   int i, ii, j, k, mi, d, kk;
+   int i, ii, j, k, mi, d, kk, kf=0;
    int ioffset=0;
    double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1];
    double **out;
    double lli; /* Individual log likelihood */
    int s1, s2;
    int iv=0, iqv=0, itv=0, iqtv=0 ; /* Index of varying covariate, fixed quantitative cov, time varying covariate, quantitative time varying covariate */
    double bbh, survp;
-   long ipmx;
    double agexact;
+   double agebegin, ageend;
    /*extern weight */
    /* We are differentiating ll according to initial status */
    /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
- Line 3283  double func( double *x)
+ Line 3886  double func( double *x)
        */
        ioffset=2+nagesqr ;
     /* Fixed */
-       for (k=1; k<=ncovf;k++){ /* Simple and product fixed covariates without age* products */
+       for (kf=1; kf<=ncovf;kf++){ /* For each fixed covariate dummu or quant or prod */
-         cov[ioffset+TvarFind[k]]=covar[Tvar[TvarFind[k]]][i];/* V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1, only V1 is fixed (k=6)*/
+         /* # V1=sex, V2=raedyrs Quant Fixed, State=livarnb4..livarnb11, V3=iadl4..iald11, V4=adlw4..adlw11, V5=r4bmi..r11bmi */
+         /*             V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
+         /*  TvarF[1]=Tvar[6]=2,  TvarF[2]=Tvar[7]=7, TvarF[3]=Tvar[9]=1  ID of fixed covariates or product V2, V1*V2, V1 */
+         /* TvarFind;  TvarFind[1]=6,  TvarFind[2]=7, TvarFind[3]=9 *//* Inverse V2(6) is first fixed (single or prod)  */
+         cov[ioffset+TvarFind[kf]]=covar[Tvar[TvarFind[kf]]][i];/* V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1, only V1 is fixed (TvarFind[1]=6)*/
+         /* V1*V2 (7)  TvarFind[2]=7, TvarFind[3]=9 */
        }
        /* 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]
+          is 5, Tvar[3=age*V3] should not be computed because of age Tvar[4=V3*V2]=6
           has been calculated etc */
        /* For an individual i, wav[i] gives the number of effective waves */
        /* We compute the contribution to Likelihood of each effective transition
- Line 3298  double func( double *x)
+ Line 3906  double func( double *x)
           But if the variable is not in the model TTvar[iv] is the real variable effective in the model:
           meaning that decodemodel should be used cotvar[mw[mi+1][i]][TTvar[iv]][i]
        */
-       for(mi=1; mi<= wav[i]-1; mi++){
+       for(mi=1; mi<= wav[i]-1; mi++){  /* Varying with waves */
-         for(k=1; k <= ncovv ; k++){ /* Varying  covariates (single and product but no age )*/
+       /* Wave varying (but not age varying) */
-           /* cov[ioffset+TvarVind[k]]=cotvar[mw[mi][i]][Tvar[TvarVind[k]]][i]; */
+         for(k=1; k <= ncovv ; k++){ /* Varying  covariates in the model (single and product but no age )"V5+V4+V3+V4*V3+V5*age+V1*age+V1" +TvarVind 1,2,3,4(V4*V3)  Tvar[1]@7{5, 4, 3, 6, 5, 1, 1 ; 6 because the created covar is after V5 and is 6, minus 1+1, 3,2,1,4 positions in cotvar*/
+           /* cov[ioffset+TvarVind[k]]=cotvar[mw[mi][i]][Tvar[TvarVind[k]]][i]; but where is the crossproduct? */
            cov[ioffset+TvarVind[k]]=cotvar[mw[mi][i]][Tvar[TvarVind[k]]-ncovcol-nqv][i];
          }
          for (ii=1;ii<=nlstate+ndeath;ii++)
- Line 3308  double func( double *x)
+ Line 3917  double func( double *x)
              oldm[ii][j]=(ii==j ? 1.0 : 0.0);
              savm[ii][j]=(ii==j ? 1.0 : 0.0);
            }
+         agebegin=agev[mw[mi][i]][i]; /* Age at beginning of effective wave */
+         ageend=agev[mw[mi][i]][i] + (dh[mi][i])*stepm/YEARM; /* Age at end of effective wave and at the end of transition */
          for(d=0; d<dh[mi][i]; d++){
            newm=savm;
            agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
- Line 3315  double func( double *x)
+ Line 3927  double func( double *x)
            if(nagesqr==1)
              cov[3]= agexact*agexact;  /* Should be changed here */
            for (kk=1; kk<=cptcovage;kk++) {
-           if(!FixedV[Tvar[Tage[kk]]])
+             if(!FixedV[Tvar[Tage[kk]]])
-             cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact; /* Tage[kk] gives the data-covariate associated with age */
+               cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact; /* Tage[kk] gives the data-covariate associated with age */
-           else
+             else
-             cov[Tage[kk]+2+nagesqr]=cotvar[mw[mi][i]][Tvar[Tage[kk]]-ncovcol-nqv][i]*agexact;
+               cov[Tage[kk]+2+nagesqr]=cotvar[mw[mi][i]][Tvar[Tage[kk]]-ncovcol-nqv][i]*agexact;
            }
            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
 ,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
- Line 3398  double func( double *x)
+ Line 4010  double func( double *x)
            /*survp += out[s1][j]; */
            lli= log(survp);
          }
-         else if  (s2==-4) {
+         /* else if  (s2==-4) {  */
-           for (j=3,survp=0. ; j<=nlstate; j++)
+         /*   for (j=3,survp=0. ; j<=nlstate; j++)   */
-             survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
+         /*     survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j]; */
-           lli= log(survp);
+         /*   lli= log(survp);  */
-         }
+         /* }  */
-         else if  (s2==-5) {
+         /* else if  (s2==-5) {  */
-           for (j=1,survp=0. ; j<=2; j++)
+         /*   for (j=1,survp=0. ; j<=2; j++)   */
-             survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
+         /*     survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j]; */
-           lli= log(survp);
+         /*   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 3426  double func( double *x)
+ Line 4038  double func( double *x)
      } /* end of individual */
    }  else if(mle==2){
      for (i=1,ipmx=0, sw=0.; i<=imx; i++){
-       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
+       ioffset=2+nagesqr ;
+       for (k=1; k<=ncovf;k++)
+         cov[ioffset+TvarFind[k]]=covar[Tvar[TvarFind[k]]][i];
        for(mi=1; mi<= wav[i]-1; mi++){
+         for(k=1; k <= ncovv ; k++){
+           cov[ioffset+TvarVind[k]]=cotvar[mw[mi][i]][Tvar[TvarVind[k]]-ncovcol-nqv][i];
+         }
          for (ii=1;ii<=nlstate+ndeath;ii++)
            for (j=1;j<=nlstate+ndeath;j++){
              oldm[ii][j]=(ii==j ? 1.0 : 0.0);
- Line 3577  double func( double *x)
+ Line 4194  double func( double *x)
  double funcone( double *x)
  {
    /* Same as func but slower because of a lot of printf and if */
-   int i, ii, j, k, mi, d, kk;
+   int i, ii, j, k, mi, d, kk, kf=0;
    int ioffset=0;
    double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1];
    double **out;
- Line 3600  double funcone( double *x)
+ Line 4217  double funcone( double *x)
    for(k=1; k<=nlstate; k++) ll[k]=0.;
    ioffset=0;
    for (i=1,ipmx=0, sw=0.; i<=imx; i++){
+     /* Computes the values of the ncovmodel covariates of the model
+        depending if the covariates are fixed or varying (age dependent) and stores them in cov[]
+        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.
+     */
      /* ioffset=2+nagesqr+cptcovage; */
      ioffset=2+nagesqr;
      /* Fixed */
      /* for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i]; */
      /* for (k=1; k<=ncoveff;k++){ /\* Simple and product fixed Dummy covariates without age* products *\/ */
-     for (k=1; k<=ncovf;k++){ /* Simple and product fixed covariates without age* products */
+     for (kf=1; kf<=ncovf;kf++){ /* Simple and product fixed covariates without age* products *//* Missing values are set to -1 but should be dropped */
-       cov[ioffset+TvarFind[k]]=covar[Tvar[TvarFind[k]]][i];/* V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1, only V1 is fixed (k=6)*/
+       cov[ioffset+TvarFind[kf]]=covar[Tvar[TvarFind[kf]]][i];/* V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1, only V1 is fixed (k=6)*/
  /*    cov[ioffset+TvarFind[1]]=covar[Tvar[TvarFind[1]]][i];  */
  /*    cov[2+6]=covar[Tvar[6]][i];  */
  /*    cov[2+6]=covar[2][i]; V2  */
- Line 3617  double funcone( double *x)
+ Line 4239  double funcone( double *x)
  /*    cov[2+9]=covar[Tvar[9]][i];  */
  /*    cov[2+9]=covar[1][i]; V1  */
      }
-     /* for (k=1; k<=nqfveff;k++){ /\* Simple and product fixed Quantitative covariates without age* products *\/ */
+       /* In model V2+V1*V4+age*V3+V3*V2 Tvar[1] is V2, Tvar[2=V1*V4]
-     /*   cov[++ioffset]=coqvar[TvarFQ[k]][i];/\* V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1, only V2 and V1*V2 is fixed (k=6 and 7?)*\/ */
+          is 5, Tvar[3=age*V3] should not be computed because of age Tvar[4=V3*V2]=6
-     /* } */
+          has been calculated etc */
-     /* for(iqv=1; iqv <= nqfveff; iqv++){ /\* Quantitative fixed covariates *\/ */
+       /* For an individual i, wav[i] gives the number of effective waves */
-     /*   cov[++ioffset]=coqvar[Tvar[iqv]][i]; /\* Only V2 k=6 and V1*V2 7 *\/ */
+       /* We compute the contribution to Likelihood of each effective transition
-     /* } */
+          mw[mi][i] is real wave of the mi th effectve wave */
+       /* Then statuses are computed at each begin and end of an effective wave s1=s[ mw[mi][i] ][i];
+          s2=s[mw[mi+1][i]][i];
+          And the iv th varying covariate is the cotvar[mw[mi+1][i]][iv][i]
+          But if the variable is not in the model TTvar[iv] is the real variable effective in the model:
+          meaning that decodemodel should be used cotvar[mw[mi+1][i]][TTvar[iv]][i]
+       */
+     /* This part may be useless now because everythin should be in covar */
+     /* for (k=1; k<=nqfveff;k++){ /\* Simple and product fixed Quantitative covariates without age* products *\/ */
+     /*   cov[++ioffset]=coqvar[TvarFQ[k]][i];/\* V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1, only V2 and V1*V2 is fixed (k=6 and 7?)*\/ */
+     /* } */
+     /* for(iqv=1; iqv <= nqfveff; iqv++){ /\* Quantitative fixed covariates *\/ */
+     /*   cov[++ioffset]=coqvar[Tvar[iqv]][i]; /\* Only V2 k=6 and V1*V2 7 *\/ */
+     /* } */
      for(mi=1; mi<= wav[i]-1; mi++){  /* Varying with waves */
      /* Wave varying (but not age varying) */
- Line 3674  double funcone( double *x)
+ Line 4309  double funcone( double *x)
          savm=oldm;
          oldm=newm;
        } /* end mult */
+         /*lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);*/ /* Original formula */
+         /* But now since version 0.9 we anticipate for bias at large stepm.
+          * If stepm is larger than one month (smallest stepm) and if the exact delay
+          * (in months) between two waves is not a multiple of stepm, we rounded to
+          * the nearest (and in case of equal distance, to the lowest) interval but now
+          * we keep into memory the bias bh[mi][i] and also the previous matrix product
+          * (i.e to dh[mi][i]-1) saved in 'savm'. Then we inter(extra)polate the
+          * probability in order to take into account the bias as a fraction of the way
+                                  * from savm to out if bh is negative or even beyond if bh is positive. bh varies
+                                  * -stepm/2 to stepm/2 .
+                                  * For stepm=1 the results are the same as for previous versions of Imach.
+                                  * For stepm > 1 the results are less biased than in previous versions.
+                                  */
        s1=s[mw[mi][i]][i];
        s2=s[mw[mi+1][i]][i];
        /* if(s2==-1){ */
-       /*        printf(" s1=%d, s2=%d i=%d \n", s1, s2, i); */
+       /*        printf(" ERROR s1=%d, s2=%d i=%d \n", s1, s2, i); */
        /*        /\* exit(1); *\/ */
        /* } */
        bbh=(double)bh[mi][i]/(double)stepm;
- Line 3706  double funcone( double *x)
+ Line 4353  double funcone( double *x)
        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("Funcone 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],(s2==-1? -1: out[s1][s2]),(s2==-1? -1: savm[s1][s2])); */
        if(globpr){
          fprintf(ficresilk,"%09ld %6.1f %6.1f %6d %2d %2d %2d %2d %3d %15.6f %8.4f %8.3f\
   %11.6f %11.6f %11.6f ", \
                  num[i], agebegin, ageend, i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],weight[i]*gipmx/gsw,
-*weight[i]*lli,out[s1][s2],savm[s1][s2]);
+*weight[i]*lli,(s2==-1? -1: out[s1][s2]),(s2==-1? -1: savm[s1][s2]));
+  /*     printf("%09ld %6.1f %6.1f %6d %2d %2d %2d %2d %3d %15.6f %8.4f %8.3f\ */
+  /* %11.6f %11.6f %11.6f ", \ */
+  /*             num[i], agebegin, ageend, i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],weight[i]*gipmx/gsw, */
+  /*             2*weight[i]*lli,(s2==-1? -1: out[s1][s2]),(s2==-1? -1: savm[s1][s2])); */
          for(k=1,llt=0.,l=0.; k<=nlstate; k++){
            llt +=ll[k]*gipmx/gsw;
            fprintf(ficresilk," %10.6f",-ll[k]*gipmx/gsw);
+           /* printf(" %10.6f",-ll[k]*gipmx/gsw); */
          }
          fprintf(ficresilk," %10.6f\n", -llt);
+         /* printf(" %10.6f\n", -llt); */
        }
-         } /* end of wave */
+     } /* end of wave */
- } /* end of individual */
+   } /* end of individual */
- for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
+   for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
  /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
- l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
+   l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
- if(globpr==0){ /* First time we count the contributions and weights */
+   if(globpr==0){ /* First time we count the contributions and weights */
-         gipmx=ipmx;
+     gipmx=ipmx;
-         gsw=sw;
+     gsw=sw;
- }
+   }
  return -l;
  }
  /*************** function likelione ***********/
- void likelione(FILE *ficres,double p[], int npar, int nlstate, int *globpri, long *ipmx, double *sw, double *fretone, double (*funcone)(double []))
+ void likelione(FILE *ficres,double p[], int npar, int nlstate, int *globpri, long *ipmx, double *sw, double *fretone, double (*func)(double []))
  {
    /* This routine should help understanding what is done with
       the selection of individuals/waves and
- Line 3756  void likelione(FILE *ficres,double p[],
+ Line 4409  void likelione(FILE *ficres,double p[],
      fprintf(ficresilk," -2*gipw/gsw*weight*ll(total)\n");
    }
-   *fretone=(*funcone)(p);
+   *fretone=(*func)(p);
    if(*globpri !=0){
      fclose(ficresilk);
      if (mle ==0)
- Line 3764  void likelione(FILE *ficres,double p[],
+ Line 4417  void likelione(FILE *ficres,double p[],
      else if(mle >=1)
        fprintf(fichtm,"\n<br>File of contributions to the likelihood computed with optimized parameters mle = %d.",mle);
      fprintf(fichtm," You should at least run with mle >= 1 to get starting values corresponding to the optimized parameters in order to visualize the real contribution of each individual/wave: <a href=\"%s\">%s</a><br>\n",subdirf(fileresilk),subdirf(fileresilk));
+     fprintf(fichtm,"\n<br>Equation of the model: <b>model=1+age+%s</b><br>\n",model);
      for (k=1; k<= nlstate ; k++) {
        fprintf(fichtm,"<br>- Probability p<sub>%dj</sub> by origin %d and destination j. Dot's sizes are related to corresponding weight: <a href=\"%s-p%dj.png\">%s-p%dj.png</a><br> \
- Line 3784  void likelione(FILE *ficres,double p[],
+ Line 4437  void likelione(FILE *ficres,double p[],
  void mlikeli(FILE *ficres,double p[], int npar, int ncovmodel, int nlstate, double ftol, double (*func)(double []))
  {
-   int i,j, iter=0;
+   int i,j,k, jk, jkk=0, iter=0;
    double **xi;
    double fret;
    double fretone; /* Only one call to likelihood */
- Line 3818  void mlikeli(FILE *ficres,double p[], in
+ Line 4471  void mlikeli(FILE *ficres,double p[], in
        if(j!=i)fprintf(ficrespow," p%1d%1d",i,j);
    fprintf(ficrespow,"\n");
  #ifdef POWELL
+ #ifdef LINMINORIGINAL
+ #else /* LINMINORIGINAL */
+   flatdir=ivector(1,npar);
+   for (j=1;j<=npar;j++) flatdir[j]=0;
+ #endif /*LINMINORIGINAL */
+ #ifdef FLATSUP
+   powell(p,xi,npar,ftol,&iter,&fret,flatdir,func);
+   /* reorganizing p by suppressing flat directions */
+   for(i=1, jk=1; i <=nlstate; i++){
+     for(k=1; k <=(nlstate+ndeath); k++){
+       if (k != i) {
+         printf("%d%d flatdir[%d]=%d",i,k,jk, flatdir[jk]);
+         if(flatdir[jk]==1){
+           printf(" To be skipped %d%d flatdir[%d]=%d ",i,k,jk, flatdir[jk]);
+         }
+         for(j=1; j <=ncovmodel; j++){
+           printf("%12.7f ",p[jk]);
+           jk++;
+         }
+         printf("\n");
+       }
+     }
+   }
+ /* skipping */
+   /* for(i=1, jk=1, jkk=1;(flatdir[jk]==0)&& (i <=nlstate); i++){ */
+   for(i=1, jk=1, jkk=1;i <=nlstate; i++){
+     for(k=1; k <=(nlstate+ndeath); k++){
+       if (k != i) {
+         printf("%d%d flatdir[%d]=%d",i,k,jk, flatdir[jk]);
+         if(flatdir[jk]==1){
+           printf(" To be skipped %d%d flatdir[%d]=%d jk=%d p[%d] ",i,k,jk, flatdir[jk],jk, jk);
+           for(j=1; j <=ncovmodel;  jk++,j++){
+             printf(" p[%d]=%12.7f",jk, p[jk]);
+             /*q[jjk]=p[jk];*/
+           }
+         }else{
+           printf(" To be kept %d%d flatdir[%d]=%d jk=%d q[%d]=p[%d] ",i,k,jk, flatdir[jk],jk, jkk, jk);
+           for(j=1; j <=ncovmodel;  jk++,jkk++,j++){
+             printf(" p[%d]=%12.7f=q[%d]",jk, p[jk],jkk);
+             /*q[jjk]=p[jk];*/
+           }
+         }
+         printf("\n");
+       }
+       fflush(stdout);
+     }
+   }
+   powell(p,xi,npar,ftol,&iter,&fret,flatdir,func);
+ #else  /* FLATSUP */
    powell(p,xi,npar,ftol,&iter,&fret,func);
- #endif
+ #endif  /* FLATSUP */
+ #ifdef LINMINORIGINAL
+ #else
+       free_ivector(flatdir,1,npar);
+ #endif  /* LINMINORIGINAL*/
+ #endif /* POWELL */
  #ifdef NLOPT
  #ifdef NEWUOA
- Line 3847  void mlikeli(FILE *ficres,double p[], in
+ Line 4557  void mlikeli(FILE *ficres,double p[], in
    }
    nlopt_destroy(opt);
  #endif
+ #ifdef FLATSUP
+   /* npared = npar -flatd/ncovmodel; */
+   /* xired= matrix(1,npared,1,npared); */
+   /* paramred= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel); */
+   /* powell(pred,xired,npared,ftol,&iter,&fret,flatdir,func); */
+   /* free_matrix(xire,1,npared,1,npared); */
+ #else  /* FLATSUP */
+ #endif /* FLATSUP */
    free_matrix(xi,1,npar,1,npar);
    fclose(ficrespow);
    printf("\n#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
- Line 4231  void pstamp(FILE *fichier)
+ Line 4949  void pstamp(FILE *fichier)
    fprintf(fichier,"# %s.%s\n#IMaCh version %s, %s\n#%s\n# %s", optionfilefiname,optionfilext,version,copyright, fullversion, strstart);
  }
- int linreg(int ifi, int ila, int *no, const double x[], const double y[], double* a, double* b, double* r, double* sa, double * sb) {
+ void date2dmy(double date,double *day, double *month, double *year){
+   double yp=0., yp1=0., yp2=0.;
-   /* y=a+bx regression */
-   double   sumx = 0.0;                        /* sum of x                      */
-   double   sumx2 = 0.0;                       /* sum of x**2                   */
-   double   sumxy = 0.0;                       /* sum of x * y                  */
-   double   sumy = 0.0;                        /* sum of y                      */
-   double   sumy2 = 0.0;                       /* sum of y**2                   */
-   double   sume2; /* sum of square or residuals */
-   double yhat;
-   double denom=0;
-   int i;
-   int ne=*no;
-   for ( i=ifi, ne=0;i<=ila;i++) {
-     if(!isfinite(x[i]) || !isfinite(y[i])){
-       /* printf(" x[%d]=%f, y[%d]=%f\n",i,x[i],i,y[i]); */
-       continue;
-     }
-     ne=ne+1;
-     sumx  += x[i];
-     sumx2 += x[i]*x[i];
-     sumxy += x[i] * y[i];
-     sumy  += y[i];
-     sumy2 += y[i]*y[i];
-     denom = (ne * sumx2 - sumx*sumx);
-     /* printf("ne=%d, i=%d,x[%d]=%f, y[%d]=%f sumx=%f, sumx2=%f, sumxy=%f, sumy=%f, sumy2=%f, denom=%f\n",ne,i,i,x[i],i,y[i], sumx, sumx2,sumxy, sumy, sumy2,denom); */
-   }
-   denom = (ne * sumx2 - sumx*sumx);
-   if (denom == 0) {
-     // vertical, slope m is infinity
-     *b = INFINITY;
-     *a = 0;
-     if (r) *r = 0;
-     return 1;
-   }
-   *b = (ne * sumxy  -  sumx * sumy) / denom;
-   *a = (sumy * sumx2  -  sumx * sumxy) / denom;
-   if (r!=NULL) {
-     *r = (sumxy - sumx * sumy / ne) /          /* compute correlation coeff     */
-       sqrt((sumx2 - sumx*sumx/ne) *
-            (sumy2 - sumy*sumy/ne));
-   }
-   *no=ne;
-   for ( i=ifi, ne=0;i<=ila;i++) {
-     if(!isfinite(x[i]) || !isfinite(y[i])){
-       /* printf(" x[%d]=%f, y[%d]=%f\n",i,x[i],i,y[i]); */
-       continue;
-     }
-     ne=ne+1;
-     yhat = y[i] - *a -*b* x[i];
-     sume2  += yhat * yhat ;
-     denom = (ne * sumx2 - sumx*sumx);
-     /* printf("ne=%d, i=%d,x[%d]=%f, y[%d]=%f sumx=%f, sumx2=%f, sumxy=%f, sumy=%f, sumy2=%f, denom=%f\n",ne,i,i,x[i],i,y[i], sumx, sumx2,sumxy, sumy, sumy2,denom); */
-   }
-   *sb = sqrt(sume2/(ne-2)/(sumx2 - sumx * sumx /ne));
-   *sa= *sb * sqrt(sumx2/ne);
-   return 0;
+   yp1=modf(date,&yp);/* extracts integral of date in yp  and
+                         fractional in yp1 */
+   *year=yp;
+   yp2=modf((yp1*12),&yp);
+   *month=yp;
+   yp1=modf((yp2*30.5),&yp);
+   *day=yp;
+   if(*day==0) *day=1;
+   if(*month==0) *month=1;
  }
  /************ Frequencies ********************/
  void  freqsummary(char fileres[], double p[], double pstart[], int iagemin, int iagemax, int **s, double **agev, int nlstate, int imx, \
                    int *Tvaraff, int *invalidvarcomb, int **nbcode, int *ncodemax,double **mint,double **anint, char strstart[], \
                    int firstpass,  int lastpass, int stepm, int weightopt, char model[])
  {  /* Some frequencies as well as proposing some starting values */
+   /* Frequencies of any combination of dummy covariate used in the model equation */
-   int i, m, jk, j1, bool, z1,j, nj, nl, k, iv, jj=0;
+   int i, m, jk, j1, bool, z1,j, nj, nl, k, iv, jj=0, s1=1, s2=1;
    int iind=0, iage=0;
    int mi; /* Effective wave */
    int first;
    double ***freq; /* Frequencies */
-   double *x, *y, a,b,r, sa, sb; /* for regression, y=b+m*x and r is the correlation coefficient */
+   double *x, *y, a=0.,b=0.,r=1., sa=0., sb=0.; /* for regression, y=b+m*x and r is the correlation coefficient */
-   int no;
+   int no=0, linreg(int ifi, int ila, int *no, const double x[], const double y[], double* a, double* b, double* r, double* sa, double * sb);
-   double *meanq;
+   double *meanq, *stdq, *idq;
    double **meanqt;
    double *pp, **prop, *posprop, *pospropt;
    double pos=0., posproptt=0., pospropta=0., k2, dateintsum=0,k2cpt=0;
- Line 4322  void  freqsummary(char fileres[], double
+ Line 4991  void  freqsummary(char fileres[], double
    pospropt=vector(1,nlstate); /* Counting the number of transition starting from a live state */
    /* prop=matrix(1,nlstate,iagemin,iagemax+3); */
    meanq=vector(1,nqfveff); /* Number of Quantitative Fixed Variables Effective */
+   stdq=vector(1,nqfveff); /* Number of Quantitative Fixed Variables Effective */
+   idq=vector(1,nqfveff); /* Number of Quantitative Fixed Variables Effective */
    meanqt=matrix(1,lastpass,1,nqtveff);
    strcpy(fileresp,"P_");
    strcat(fileresp,fileresu);
- Line 4345  void  freqsummary(char fileres[], double
+ Line 5016  void  freqsummary(char fileres[], double
  Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s<br>\n",\
              fileresphtm,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);
    }
-   fprintf(ficresphtm,"Current page is file <a href=\"%s\">%s</a><br>\n\n<h4>Frequencies and prevalence by age at begin of transition and dummy covariate value at beginning of transition</h4>\n",fileresphtm, fileresphtm);
+   fprintf(ficresphtm,"Current page is file <a href=\"%s\">%s</a><br>\n\n<h4>Frequencies (weight=%d) and prevalence by age at begin of transition and dummy covariate value at beginning of transition</h4>\n",fileresphtm, fileresphtm, weightopt);
    strcpy(fileresphtmfr,subdirfext(optionfilefiname,"PHTMFR_",".htm"));
    if((ficresphtmfr=fopen(fileresphtmfr,"w"))==NULL) {
- Line 4355  Title=%s <br>Datafile=%s Firstpass=%d La
+ Line 5026  Title=%s <br>Datafile=%s Firstpass=%d La
      exit(70);
    } else{
      fprintf(ficresphtmfr,"<html><head>\n<title>IMaCh PHTM_Frequency table %s</title></head>\n <body><font size=\"2\">%s <br> %s</font> \
- <hr size=\"2\" color=\"#EC5E5E\"> \n                                    \
+ ,<hr size=\"2\" color=\"#EC5E5E\"> \n                                   \
  Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s<br>\n",\
              fileresphtmfr,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);
    }
-   fprintf(ficresphtmfr,"Current page is file <a href=\"%s\">%s</a><br>\n\n<h4>Frequencies of all effective transitions of the model, by age at begin of transition, and covariate value at the begin of transition (if the covariate is a varying covariate) </h4>Unknown status is -1<br/>\n",fileresphtmfr, fileresphtmfr);
+   fprintf(ficresphtmfr,"Current page is file <a href=\"%s\">%s</a><br>\n\n<h4>(weight=%d) frequencies of all effective transitions of the model, by age at begin of transition, and covariate value at the begin of transition (if the covariate is a varying covariate) </h4>Unknown status is -1<br/>\n",fileresphtmfr, fileresphtmfr,weightopt);
    y= vector(iagemin-AGEMARGE,iagemax+4+AGEMARGE);
    x= vector(iagemin-AGEMARGE,iagemax+4+AGEMARGE);
- Line 4367  Title=%s <br>Datafile=%s Firstpass=%d La
+ Line 5038  Title=%s <br>Datafile=%s Firstpass=%d La
    j1=0;
    /* j=ncoveff;  /\* Only fixed dummy covariates *\/ */
-   j=cptcoveff;  /* Only dummy covariates of the model */
+   j=cptcoveff;  /* Only simple dummy covariates used in the model */
+   /* j=cptcovn;  /\* Only dummy covariates of the model *\/ */
    if (cptcovn<1) {j=1;ncodemax[1]=1;}
- Line 4375  Title=%s <br>Datafile=%s Firstpass=%d La
+ Line 5047  Title=%s <br>Datafile=%s Firstpass=%d La
       reference=low_education V1=0,V2=0
       med_educ                V1=1 V2=0,
       high_educ               V1=0 V2=1
-      Then V1=1 and V2=1 is a noisy combination that we want to exclude for the list 2**cptcoveff
+      Then V1=1 and V2=1 is a noisy combination that we want to exclude for the list 2**cptcovn
    */
    dateintsum=0;
    k2cpt=0;
    if(cptcoveff == 0 )
-     nl=1;  /* Constant model only */
+     nl=1;  /* Constant and age model only */
    else
      nl=2;
+   /* if a constant only model, one pass to compute frequency tables and to write it on ficresp */
+   /* Loop on nj=1 or 2 if dummy covariates j!=0
+    *   Loop on j1(1 to 2**cptcoveff) covariate combination
+    *     freq[s1][s2][iage] =0.
+    *     Loop on iind
+    *       ++freq[s1][s2][iage] weighted
+    *     end iind
+    *     if covariate and j!0
+    *       headers Variable on one line
+    *     endif cov j!=0
+    *     header of frequency table by age
+    *     Loop on age
+    *       pp[s1]+=freq[s1][s2][iage] weighted
+    *       pos+=freq[s1][s2][iage] weighted
+    *       Loop on s1 initial state
+    *         fprintf(ficresp
+    *       end s1
+    *     end age
+    *     if j!=0 computes starting values
+    *     end compute starting values
+    *   end j1
+    * end nl
+    */
    for (nj = 1; nj <= nl; nj++){   /* nj= 1 constant model, nl number of loops. */
      if(nj==1)
        j=0;  /* First pass for the constant */
-     else
+     else{
-       j=cptcoveff; /* Other passes for the covariate values */
+       j=cptcoveff; /* Other passes for the covariate values number of simple covariates in the model V2+V1 =2 (simple dummy fixed or time varying) */
+     }
      first=1;
-     for (j1 = 1; j1 <= (int) pow(2,j); j1++){ /* Loop on covariates combination in order of model, excluding quantitatives, V4=0, V3=0 for example, fixed or varying covariates */
+     for (j1 = 1; j1 <= (int) pow(2,j); j1++){ /* Loop on all dummy covariates combination of the model, ie excluding quantitatives, V4=0, V3=0 for example, fixed or varying covariates */
        posproptt=0.;
-       /*printf("cptcoveff=%d Tvaraff=%d", cptcoveff,Tvaraff[1]);
+       /*printf("cptcovn=%d Tvaraff=%d", cptcovn,Tvaraff[1]);
          scanf("%d", i);*/
        for (i=-5; i<=nlstate+ndeath; i++)
-         for (jk=-5; jk<=nlstate+ndeath; jk++)
+         for (s2=-5; s2<=nlstate+ndeath; s2++)
            for(m=iagemin; m <= iagemax+3; m++)
-             freq[i][jk][m]=0;
+             freq[i][s2][m]=0;
        for (i=1; i<=nlstate; i++)  {
          for(m=iagemin; m <= iagemax+3; m++)
- Line 4405  Title=%s <br>Datafile=%s Firstpass=%d La
+ Line 5102  Title=%s <br>Datafile=%s Firstpass=%d La
          posprop[i]=0;
          pospropt[i]=0;
        }
-       /* for (z1=1; z1<= nqfveff; z1++) {   */
+       for (z1=1; z1<= nqfveff; z1++) { /* zeroing for each combination j1 as well as for the total */
-       /*   meanq[z1]+=0.; */
+         idq[z1]=0.;
+         meanq[z1]=0.;
+         stdq[z1]=0.;
+       }
+       /* for (z1=1; z1<= nqtveff; z1++) { */
        /*   for(m=1;m<=lastpass;m++){ */
-       /*        meanqt[m][z1]=0.; */
+       /*          meanqt[m][z1]=0.; */
-       /*   } */
+       /*        } */
-       /* } */
+       /* }       */
        /* dateintsum=0; */
        /* k2cpt=0; */
-       /* For that combination of covariate j1, we count and print the frequencies in one pass */
+       /* For that combination of covariates j1 (V4=1 V3=0 for example), we count and print the frequencies in one pass */
        for (iind=1; iind<=imx; iind++) { /* For each individual iind */
          bool=1;
          if(j !=0){
            if(anyvaryingduminmodel==0){ /* If All fixed covariates */
              if (cptcoveff >0) { /* Filter is here: Must be looked at for model=V1+V2+V3+V4 */
-               /* for (z1=1; z1<= nqfveff; z1++) {   */
-               /*   meanq[z1]+=coqvar[Tvar[z1]][iind];  /\* Computes mean of quantitative with selected filter *\/ */
-               /* } */
                for (z1=1; z1<=cptcoveff; z1++) { /* loops on covariates in the model */
                  /* if(Tvaraff[z1] ==-20){ */
                  /*       /\* sumnew+=cotvar[mw[mi][iind]][z1][iind]; *\/ */
                  /* }else  if(Tvaraff[z1] ==-10){ */
                  /*       /\* sumnew+=coqvar[z1][iind]; *\/ */
-                 /* }else  */
+                 /* }else  */ /* TODO TODO codtabm(j1,z1) or codtabm(j1,Tvaraff[z1]]z1)*/
-                 if (covar[Tvaraff[z1]][iind]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]){ /* for combination j1 of covariates */
+                 /* if( iind >=imx-3) printf("Searching error iind=%d Tvaraff[z1]=%d covar[Tvaraff[z1]][iind]=%.f TnsdVar[Tvaraff[z1]]=%d, cptcoveff=%d, cptcovs=%d \n",iind, Tvaraff[z1], covar[Tvaraff[z1]][iind],TnsdVar[Tvaraff[z1]],cptcoveff, cptcovs); */
-                   /* Tests if this individual iind responded to combination j1 (V4=1 V3=0) */
+                 if(Tvaraff[z1]<1 || Tvaraff[z1]>=NCOVMAX)
+                   printf("Error Tvaraff[z1]=%d<1 or >=%d, cptcoveff=%d model=%s\n",Tvaraff[z1],NCOVMAX, cptcoveff, model);
+                 if (covar[Tvaraff[z1]][iind]!= nbcode[Tvaraff[z1]][codtabm(j1,TnsdVar[Tvaraff[z1]])]){ /* for combination j1 of covariates */
+                   /* Tests if the value of the covariate z1 for this individual iind responded to combination j1 (V4=1 V3=0) */
                    bool=0; /* bool should be equal to 1 to be selected, one covariate value failed */
-                   /* printf("bool=%d i=%d, z1=%d, Tvaraff[%d]=%d, covar[Tvarff][%d]=%2f, codtabm(%d,%d)=%d, nbcode[Tvaraff][codtabm(%d,%d)=%d, j1=%d\n",
+                   /* printf("bool=%d i=%d, z1=%d, Tvaraff[%d]=%d, covar[Tvarff][%d]=%2f, codtabm(%d,%d)=%d, nbcode[Tvaraff][codtabm(%d,%d)=%d, j1=%d\n", */
-                      bool,i,z1, z1, Tvaraff[z1],i,covar[Tvaraff[z1]][i],j1,z1,codtabm(j1,z1),
+                   /*   bool,i,z1, z1, Tvaraff[z1],i,covar[Tvaraff[z1]][i],j1,z1,codtabm(j1,z1),*/
-                      j1,z1,nbcode[Tvaraff[z1]][codtabm(j1,z1)],j1);*/
+                   /*   j1,z1,nbcode[Tvaraff[z1]][codtabm(j1,z1)],j1);*/
                    /* For j1=7 in V1+V2+V3+V4 = 0 1 1 0 and codtabm(7,3)=1 and nbcde[3][?]=1*/
                  } /* Onlyf fixed */
                } /* end z1 */
-             } /* cptcovn > 0 */
+             } /* cptcoveff > 0 */
            } /* end any */
          }/* end j==0 */
-         if (bool==1){ /* We selected an individual iind satisfying combination j1 or all fixed */
+         if (bool==1){ /* We selected an individual iind satisfying combination j1 (V4=1 V3=0) or all fixed covariates */
            /* for(m=firstpass; m<=lastpass; m++){ */
-           for(mi=1; mi<wav[iind];mi++){ /* For that wave */
+           for(mi=1; mi<wav[iind];mi++){ /* For each wave */
              m=mw[mi][iind];
              if(j!=0){
                if(anyvaryingduminmodel==1){ /* Some are varying covariates */
                  for (z1=1; z1<=cptcoveff; z1++) {
                    if( Fixed[Tmodelind[z1]]==1){
                      iv= Tvar[Tmodelind[z1]]-ncovcol-nqv;
-                     if (cotvar[m][iv][iind]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]) /* iv=1 to ntv, right modality. If covariate's
+                     if (cotvar[m][iv][iind]!= nbcode[Tvaraff[z1]][codtabm(j1,TnsdVar[Tvaraff[z1]])]) /* iv=1 to ntv, right modality. If covariate's
                                                                                        value is -1, we don't select. It differs from the
                                                                                        constant and age model which counts them. */
                        bool=0; /* not selected */
                    }else if( Fixed[Tmodelind[z1]]== 0) { /* fixed */
-                     if (covar[Tvaraff[z1]][iind]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]) {
+                     /* i1=Tvaraff[z1]; */
+                     /* i2=TnsdVar[i1]; */
+                     /* i3=nbcode[i1][i2]; */
+                     /* i4=covar[i1][iind]; */
+                     /* if(i4 != i3){ */
+                     if (covar[Tvaraff[z1]][iind]!= nbcode[Tvaraff[z1]][codtabm(j1,TnsdVar[Tvaraff[z1]])]) { /* Bug valgrind */
                        bool=0;
                      }
                    }
- Line 4464  Title=%s <br>Datafile=%s Firstpass=%d La
+ Line 5169  Title=%s <br>Datafile=%s Firstpass=%d La
                }/* Some are varying covariates, we tried to speed up if all fixed covariates in the model, avoiding waves loop  */
              } /* end j==0 */
              /* bool =0 we keep that guy which corresponds to the combination of dummy values */
-             if(bool==1){
+             if(bool==1){ /*Selected */
                /* dh[m][iind] or dh[mw[mi][iind]][iind] is the delay between two effective (mi) waves m=mw[mi][iind]
                   and mw[mi+1][iind]. dh depends on stepm. */
                agebegin=agev[m][iind]; /* Age at beginning of wave before transition*/
- Line 4482  Title=%s <br>Datafile=%s Firstpass=%d La
+ Line 5187  Title=%s <br>Datafile=%s Firstpass=%d La
                    if(s[m][iind]==-1)
                      printf(" num=%ld m=%d, iind=%d s1=%d s2=%d agev at m=%d agebegin=%.2f ageend=%.2f, agemed=%d\n", num[iind], m, iind,s[m][iind],s[m+1][iind], (int)agev[m][iind],agebegin, ageend, (int)((agebegin+ageend)/2.));
                    freq[s[m][iind]][s[m+1][iind]][(int)agev[m][iind]] += weight[iind]; /* At age of beginning of transition, where status is known */
+                   for (z1=1; z1<= nqfveff; z1++) { /* Quantitative variables, calculating mean on known values only */
+                     if(!isnan(covar[ncovcol+z1][iind])){
+                       idq[z1]=idq[z1]+weight[iind];
+                       meanq[z1]+=covar[ncovcol+z1][iind]*weight[iind];  /* Computes mean of quantitative with selected filter */
+                       /* stdq[z1]+=covar[ncovcol+z1][iind]*covar[ncovcol+z1][iind]*weight[iind]*weight[iind]; *//*error*/
+                       stdq[z1]+=covar[ncovcol+z1][iind]*covar[ncovcol+z1][iind]*weight[iind]; /* *weight[iind];*/  /* Computes mean of quantitative with selected filter */
+                     }
+                   }
                    /* if((int)agev[m][iind] == 55) */
                    /*   printf("j=%d, j1=%d Age %d, iind=%d, num=%09ld m=%d\n",j,j1,(int)agev[m][iind],iind, num[iind],m); */
                    /* freq[s[m][iind]][s[m+1][iind]][(int)((agebegin+ageend)/2.)] += weight[iind]; */
- Line 4497  Title=%s <br>Datafile=%s Firstpass=%d La
+ Line 5210  Title=%s <br>Datafile=%s Firstpass=%d La
                bool=1;
              }/* end bool 2 */
            } /* end m */
+           /* for (z1=1; z1<= nqfveff; z1++) { /\* Quantitative variables, calculating mean *\/ */
+           /*   idq[z1]=idq[z1]+weight[iind]; */
+           /*   meanq[z1]+=covar[ncovcol+z1][iind]*weight[iind];  /\* Computes mean of quantitative with selected filter *\/ */
+           /*   stdq[z1]+=covar[ncovcol+z1][iind]*covar[ncovcol+z1][iind]*weight[iind]*weight[iind]; /\* *weight[iind];*\/  /\* Computes mean of quantitative with selected filter *\/ */
+           /* } */
          } /* end bool */
        } /* end iind = 1 to imx */
-       /* prop[s][age] is feeded for any initial and valid live state as well as
+       /* prop[s][age] is fed for any initial and valid live state as well as
           freq[s1][s2][age] at single age of beginning the transition, for a combination j1 */
        /*      fprintf(ficresp, "#Count between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);*/
-       pstamp(ficresp);
+       if(cptcoveff==0 && nj==1) /* no covariate and first pass */
+         pstamp(ficresp);
        if  (cptcoveff>0 && j!=0){
+         pstamp(ficresp);
          printf( "\n#********** Variable ");
          fprintf(ficresp, "\n#********** Variable ");
          fprintf(ficresphtm, "\n<br/><br/><h3>********** Variable ");
          fprintf(ficresphtmfr, "\n<br/><br/><h3>********** Variable ");
          fprintf(ficlog, "\n#********** Variable ");
-         for (z1=1; z1<=cptcoveff; z1++){
+         for (z1=1; z1<=cptcovs; z1++){
            if(!FixedV[Tvaraff[z1]]){
-             printf( "V%d(fixed)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
+             printf( "V%d(fixed)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,TnsdVar[Tvaraff[z1]])]);
-             fprintf(ficresp, "V%d(fixed)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
+             fprintf(ficresp, "V%d(fixed)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,TnsdVar[Tvaraff[z1]])]);
-             fprintf(ficresphtm, "V%d(fixed)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
+             fprintf(ficresphtm, "V%d(fixed)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,TnsdVar[Tvaraff[z1]])]);
-             fprintf(ficresphtmfr, "V%d(fixed)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
+             fprintf(ficresphtmfr, "V%d(fixed)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,TnsdVar[Tvaraff[z1]])]);
-             fprintf(ficlog, "V%d(fixed)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
+             fprintf(ficlog, "V%d(fixed)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,TnsdVar[Tvaraff[z1]])]);
            }else{
-             printf( "V%d(varying)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
+             printf( "V%d(varying)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,TnsdVar[Tvaraff[z1]])]);
-             fprintf(ficresp, "V%d(varying)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
+             fprintf(ficresp, "V%d(varying)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,TnsdVar[Tvaraff[z1]])]);
-             fprintf(ficresphtm, "V%d(varying)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
+             fprintf(ficresphtm, "V%d(varying)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,TnsdVar[Tvaraff[z1]])]);
-             fprintf(ficresphtmfr, "V%d(varying)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
+             fprintf(ficresphtmfr, "V%d(varying)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,TnsdVar[Tvaraff[z1]])]);
-             fprintf(ficlog, "V%d(varying)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
+             fprintf(ficlog, "V%d(varying)=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,TnsdVar[Tvaraff[z1]])]);
            }
          }
          printf( "**********\n#");
- Line 4532  Title=%s <br>Datafile=%s Firstpass=%d La
+ Line 5252  Title=%s <br>Datafile=%s Firstpass=%d La
          fprintf(ficresphtmfr, "**********</h3>\n");
          fprintf(ficlog, "**********\n");
        }
+       /*
+         Printing means of quantitative variables if any
+       */
+       for (z1=1; z1<= nqfveff; z1++) {
+         fprintf(ficlog,"Mean of fixed quantitative variable V%d on %.3g (weighted) individuals sum=%f", ncovcol+z1, idq[z1], meanq[z1]);
+         fprintf(ficlog,", mean=%.3g\n",meanq[z1]/idq[z1]);
+         if(weightopt==1){
+           printf(" Weighted mean and standard deviation of");
+           fprintf(ficlog," Weighted mean and standard deviation of");
+           fprintf(ficresphtmfr," Weighted mean and standard deviation of");
+         }
+         /* mu = \frac{w x}{\sum w}
+            var = \frac{\sum w (x-mu)^2}{\sum w} = \frac{w x^2}{\sum w} - mu^2
+         */
+         printf(" fixed quantitative variable V%d on  %.3g (weighted) representatives of the population : %8.5g (%8.5g)\n", ncovcol+z1, idq[z1],meanq[z1]/idq[z1], sqrt(stdq[z1]/idq[z1]-meanq[z1]*meanq[z1]/idq[z1]/idq[z1]));
+         fprintf(ficlog," fixed quantitative variable V%d on  %.3g (weighted) representatives of the population : %8.5g (%8.5g)\n", ncovcol+z1, idq[z1],meanq[z1]/idq[z1], sqrt(stdq[z1]/idq[z1]-meanq[z1]*meanq[z1]/idq[z1]/idq[z1]));
+         fprintf(ficresphtmfr," fixed quantitative variable V%d on %.3g (weighted) representatives of the population : %8.5g (%8.5g)<p>\n", ncovcol+z1, idq[z1],meanq[z1]/idq[z1], sqrt(stdq[z1]/idq[z1]-meanq[z1]*meanq[z1]/idq[z1]/idq[z1]));
+       }
+       /* for (z1=1; z1<= nqtveff; z1++) { */
+       /*        for(m=1;m<=lastpass;m++){ */
+       /*          fprintf(ficresphtmfr,"V quantitative id %d, pass id=%d, mean=%f<p>\n", z1, m, meanqt[m][z1]); */
+       /*   } */
+       /* } */
        fprintf(ficresphtm,"<table style=\"text-align:center; border: 1px solid\">");
+       if((cptcoveff==0 && nj==1)|| nj==2 ) /* no covariate and first pass */
+         fprintf(ficresp, " Age");
+       if(nj==2) for (z1=1; z1<=cptcoveff; z1++) {
+           printf(" V%d=%d, z1=%d, Tvaraff[z1]=%d, j1=%d, TnsdVar[Tvaraff[%d]]=%d |",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,TnsdVar[Tvaraff[z1]])], z1, Tvaraff[z1], j1,z1,TnsdVar[Tvaraff[z1]]);
+           fprintf(ficresp, " V%d=%d",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,TnsdVar[Tvaraff[z1]])]);
+         }
        for(i=1; i<=nlstate;i++) {
-         fprintf(ficresp, " Age Prev(%d)  N(%d)  N  ",i,i);
+         if((cptcoveff==0 && nj==1)|| nj==2 ) fprintf(ficresp," Prev(%d)  N(%d)  N  ",i,i);
          fprintf(ficresphtm, "<th>Age</th><th>Prev(%d)</th><th>N(%d)</th><th>N</th>",i,i);
        }
-       fprintf(ficresp, "\n");
+       if((cptcoveff==0 && nj==1)|| nj==2 ) fprintf(ficresp, "\n");
        fprintf(ficresphtm, "\n");
        /* Header of frequency table by age */
        fprintf(ficresphtmfr,"<table style=\"text-align:center; border: 1px solid\">");
        fprintf(ficresphtmfr,"<th>Age</th> ");
-       for(jk=-1; jk <=nlstate+ndeath; jk++){
+       for(s2=-1; s2 <=nlstate+ndeath; s2++){
          for(m=-1; m <=nlstate+ndeath; m++){
-           if(jk!=0 && m!=0)
+           if(s2!=0 && m!=0)
-             fprintf(ficresphtmfr,"<th>%d%d</th> ",jk,m);
+             fprintf(ficresphtmfr,"<th>%d%d</th> ",s2,m);
          }
        }
        fprintf(ficresphtmfr, "\n");
- Line 4571  Title=%s <br>Datafile=%s Firstpass=%d La
+ Line 5321  Title=%s <br>Datafile=%s Firstpass=%d La
            fprintf(ficresphtmfr,"<tr><th>%d</th> ",iage);
            fprintf(ficlog,"Age %d", iage);
          }
-         for(jk=1; jk <=nlstate ; jk++){
+         for(s1=1; s1 <=nlstate ; s1++){
-           for(m=-1, pp[jk]=0; m <=nlstate+ndeath ; m++)
+           for(m=-1, pp[s1]=0; m <=nlstate+ndeath ; m++)
-             pp[jk] += freq[jk][m][iage];
+             pp[s1] += freq[s1][m][iage];
          }
-         for(jk=1; jk <=nlstate ; jk++){
+         for(s1=1; s1 <=nlstate ; s1++){
            for(m=-1, pos=0; m <=0 ; m++)
-             pos += freq[jk][m][iage];
+             pos += freq[s1][m][iage];
-           if(pp[jk]>=1.e-10){
+           if(pp[s1]>=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%%",s1,pp[s1],s1,100*pos/pp[s1]);
              }
-             fprintf(ficlog," %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);
+             fprintf(ficlog," %d.=%.0f loss[%d]=%.1f%%",s1,pp[s1],s1,100*pos/pp[s1]);
            }else{
              if(first==1)
-               printf(" %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);
+               printf(" %d.=%.0f loss[%d]=NaNQ%%",s1,pp[s1],s1);
-             fprintf(ficlog," %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);
+             fprintf(ficlog," %d.=%.0f loss[%d]=NaNQ%%",s1,pp[s1],s1);
            }
          }
-         for(jk=1; jk <=nlstate ; jk++){
+         for(s1=1; s1 <=nlstate ; s1++){
-           /* posprop[jk]=0; */
+           /* posprop[s1]=0; */
-           for(m=0, pp[jk]=0; m <=nlstate+ndeath; m++)/* Summing on all ages */
+           for(m=0, pp[s1]=0; m <=nlstate+ndeath; m++)/* Summing on all ages */
-             pp[jk] += freq[jk][m][iage];
+             pp[s1] += freq[s1][m][iage];
-         }       /* pp[jk] is the total number of transitions starting from state jk and any ending status until this age */
+         }       /* pp[s1] is the total number of transitions starting from state s1 and any ending status until this age */
-         for(jk=1,pos=0, pospropta=0.; jk <=nlstate ; jk++){
+         for(s1=1,pos=0, pospropta=0.; s1 <=nlstate ; s1++){
-           pos += pp[jk]; /* pos is the total number of transitions until this age */
+           pos += pp[s1]; /* pos is the total number of transitions until this age */
-           posprop[jk] += prop[jk][iage]; /* prop is the number of transitions from a live state
+           posprop[s1] += prop[s1][iage]; /* prop is the number of transitions from a live state
-                                             from jk at age iage prop[s[m][iind]][(int)agev[m][iind]] += weight[iind] */
+                                             from s1 at age iage prop[s[m][iind]][(int)agev[m][iind]] += weight[iind] */
-           pospropta += prop[jk][iage]; /* prop is the number of transitions from a live state
+           pospropta += prop[s1][iage]; /* prop is the number of transitions from a live state
-                                           from jk at age iage prop[s[m][iind]][(int)agev[m][iind]] += weight[iind] */
+                                           from s1 at age iage prop[s[m][iind]][(int)agev[m][iind]] += weight[iind] */
          }
-         for(jk=1; jk <=nlstate ; jk++){
+         /* Writing ficresp */
+         if(cptcoveff==0 && nj==1){ /* no covariate and first pass */
+           if( iage <= iagemax){
+             fprintf(ficresp," %d",iage);
+           }
+         }else if( nj==2){
+           if( iage <= iagemax){
+             fprintf(ficresp," %d",iage);
+             for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresp, " %d %d",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,TnsdVar[Tvaraff[z1]])]);
+           }
+         }
+         for(s1=1; s1 <=nlstate ; s1++){
            if(pos>=1.e-5){
              if(first==1)
-               printf(" %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);
+               printf(" %d.=%.0f prev[%d]=%.1f%%",s1,pp[s1],s1,100*pp[s1]/pos);
-             fprintf(ficlog," %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);
+             fprintf(ficlog," %d.=%.0f prev[%d]=%.1f%%",s1,pp[s1],s1,100*pp[s1]/pos);
            }else{
              if(first==1)
-               printf(" %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);
+               printf(" %d.=%.0f prev[%d]=NaNQ%%",s1,pp[s1],s1);
-             fprintf(ficlog," %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);
+             fprintf(ficlog," %d.=%.0f prev[%d]=NaNQ%%",s1,pp[s1],s1);
            }
            if( iage <= iagemax){
              if(pos>=1.e-5){
-               fprintf(ficresp," %d %.5f %.0f %.0f",iage,prop[jk][iage]/pospropta, prop[jk][iage],pospropta);
+               if(cptcoveff==0 && nj==1){ /* no covariate and first pass */
-               fprintf(ficresphtm,"<th>%d</th><td>%.5f</td><td>%.0f</td><td>%.0f</td>",iage,prop[jk][iage]/pospropta, prop[jk][iage],pospropta);
+                 fprintf(ficresp," %.5f %.0f %.0f",prop[s1][iage]/pospropta, prop[s1][iage],pospropta);
-               /*probs[iage][jk][j1]= pp[jk]/pos;*/
+               }else if( nj==2){
-               /*printf("\niage=%d jk=%d j1=%d %.5f %.0f %.0f %f",iage,jk,j1,pp[jk]/pos, pp[jk],pos,probs[iage][jk][j1]);*/
+                 fprintf(ficresp," %.5f %.0f %.0f",prop[s1][iage]/pospropta, prop[s1][iage],pospropta);
-             }
+               }
-             else{
+               fprintf(ficresphtm,"<th>%d</th><td>%.5f</td><td>%.0f</td><td>%.0f</td>",iage,prop[s1][iage]/pospropta, prop[s1][iage],pospropta);
-               fprintf(ficresp," %d NaNq %.0f %.0f",iage,prop[jk][iage],pospropta);
+               /*probs[iage][s1][j1]= pp[s1]/pos;*/
-               fprintf(ficresphtm,"<th>%d</th><td>NaNq</td><td>%.0f</td><td>%.0f</td>",iage, prop[jk][iage],pospropta);
+               /*printf("\niage=%d s1=%d j1=%d %.5f %.0f %.0f %f",iage,s1,j1,pp[s1]/pos, pp[s1],pos,probs[iage][s1][j1]);*/
+             } else{
+               if((cptcoveff==0 && nj==1)|| nj==2 ) fprintf(ficresp," NaNq %.0f %.0f",prop[s1][iage],pospropta);
+               fprintf(ficresphtm,"<th>%d</th><td>NaNq</td><td>%.0f</td><td>%.0f</td>",iage, prop[s1][iage],pospropta);
              }
            }
-           pospropt[jk] +=posprop[jk];
+           pospropt[s1] +=posprop[s1];
-         } /* end loop jk */
+         } /* end loop s1 */
          /* pospropt=0.; */
-         for(jk=-1; jk <=nlstate+ndeath; jk++){
+         for(s1=-1; s1 <=nlstate+ndeath; s1++){
            for(m=-1; m <=nlstate+ndeath; m++){
-             if(freq[jk][m][iage] !=0 ) { /* minimizing output */
+             if(freq[s1][m][iage] !=0 ) { /* minimizing output */
                if(first==1){
-                 printf(" %d%d=%.0f",jk,m,freq[jk][m][iage]);
+                 printf(" %d%d=%.0f",s1,m,freq[s1][m][iage]);
                }
-               /* printf(" %d%d=%.0f",jk,m,freq[jk][m][iage]); */
+               /* printf(" %d%d=%.0f",s1,m,freq[s1][m][iage]); */
-               fprintf(ficlog," %d%d=%.0f",jk,m,freq[jk][m][iage]);
+               fprintf(ficlog," %d%d=%.0f",s1,m,freq[s1][m][iage]);
              }
-             if(jk!=0 && m!=0)
+             if(s1!=0 && m!=0)
-               fprintf(ficresphtmfr,"<td>%.0f</td> ",freq[jk][m][iage]);
+               fprintf(ficresphtmfr,"<td>%.0f</td> ",freq[s1][m][iage]);
            }
-         } /* end loop jk */
+         } /* end loop s1 */
          posproptt=0.;
-         for(jk=1; jk <=nlstate; jk++){
+         for(s1=1; s1 <=nlstate; s1++){
-           posproptt += pospropt[jk];
+           posproptt += pospropt[s1];
          }
          fprintf(ficresphtmfr,"</tr>\n ");
-         if(iage <= iagemax){
+         fprintf(ficresphtm,"</tr>\n");
-           fprintf(ficresp,"\n");
+         if((cptcoveff==0 && nj==1)|| nj==2 ) {
-           fprintf(ficresphtm,"</tr>\n");
+           if(iage <= iagemax)
+             fprintf(ficresp,"\n");
          }
          if(first==1)
            printf("Others in log...\n");
          fprintf(ficlog,"\n");
        } /* end loop age iage */
        fprintf(ficresphtm,"<tr><th>Tot</th>");
-       for(jk=1; jk <=nlstate ; jk++){
+       for(s1=1; s1 <=nlstate ; s1++){
          if(posproptt < 1.e-5){
-           fprintf(ficresphtm,"<td>Nanq</td><td>%.0f</td><td>%.0f</td>",pospropt[jk],posproptt);
+           fprintf(ficresphtm,"<td>Nanq</td><td>%.0f</td><td>%.0f</td>",pospropt[s1],posproptt);
          }else{
-           fprintf(ficresphtm,"<td>%.5f</td><td>%.0f</td><td>%.0f</td>",pospropt[jk]/posproptt,pospropt[jk],posproptt);
+           fprintf(ficresphtm,"<td>%.5f</td><td>%.0f</td><td>%.0f</td>",pospropt[s1]/posproptt,pospropt[s1],posproptt);
          }
        }
        fprintf(ficresphtm,"</tr>\n");
- Line 4679  Title=%s <br>Datafile=%s Firstpass=%d La
+ Line 5446  Title=%s <br>Datafile=%s Firstpass=%d La
        fprintf(ficlog,"\n");
        if(j!=0){
          printf("#Freqsummary: Starting values for combination j1=%d:\n", j1);
-         for(i=1,jk=1; i <=nlstate; i++){
+         for(i=1,s1=1; i <=nlstate; i++){
            for(k=1; k <=(nlstate+ndeath); k++){
              if (k != i) {
-               for(jj=1; jj <=ncovmodel; jj++){ /* For counting jk */
+               for(jj=1; jj <=ncovmodel; jj++){ /* For counting s1 */
                  if(jj==1){  /* Constant case (in fact cste + age) */
                    if(j1==1){ /* All dummy covariates to zero */
                      freq[i][k][iagemax+4]=freq[i][k][iagemax+3]; /* Stores case 0 0 0 */
                      freq[i][i][iagemax+4]=freq[i][i][iagemax+3]; /* Stores case 0 0 0 */
                      printf("%d%d ",i,k);
                      fprintf(ficlog,"%d%d ",i,k);
-                     printf("%12.7f ln(%.0f/%.0f)= %f, OR=%f sd=%f \n",p[jk],freq[i][k][iagemax+3],freq[i][i][iagemax+3], log(freq[i][k][iagemax+3]/freq[i][i][iagemax+3]),freq[i][k][iagemax+3]/freq[i][i][iagemax+3], sqrt(1/freq[i][k][iagemax+3]+1/freq[i][i][iagemax+3]));
+                     printf("%12.7f ln(%.0f/%.0f)= %f, OR=%f sd=%f \n",p[s1],freq[i][k][iagemax+3],freq[i][i][iagemax+3], log(freq[i][k][iagemax+3]/freq[i][i][iagemax+3]),freq[i][k][iagemax+3]/freq[i][i][iagemax+3], sqrt(1/freq[i][k][iagemax+3]+1/freq[i][i][iagemax+3]));
-                     fprintf(ficlog,"%12.7f ln(%.0f/%.0f)= %12.7f \n",p[jk],freq[i][k][iagemax+3],freq[i][i][iagemax+3], log(freq[i][k][iagemax+3]/freq[i][i][iagemax+3]));
+                     fprintf(ficlog,"%12.7f ln(%.0f/%.0f)= %12.7f \n",p[s1],freq[i][k][iagemax+3],freq[i][i][iagemax+3], log(freq[i][k][iagemax+3]/freq[i][i][iagemax+3]));
-                     pstart[jk]= log(freq[i][k][iagemax+3]/freq[i][i][iagemax+3]);
+                     pstart[s1]= log(freq[i][k][iagemax+3]/freq[i][i][iagemax+3]);
                    }
                  }else if((j1==1) && (jj==2 || nagesqr==1)){ /* age or age*age parameter without covariate V4*age (to be done later) */
                    for(iage=iagemin; iage <= iagemax+3; iage++){
                      x[iage]= (double)iage;
                      y[iage]= log(freq[i][k][iage]/freq[i][i][iage]);
-                     /* printf("i=%d, k=%d, jk=%d, j1=%d, jj=%d, y[%d]=%f\n",i,k,jk,j1,jj, iage, y[iage]); */
+                     /* printf("i=%d, k=%d, s1=%d, j1=%d, jj=%d, y[%d]=%f\n",i,k,s1,j1,jj, iage, y[iage]); */
                    }
+                   /* Some are not finite, but linreg will ignore these ages */
+                   no=0;
                    linreg(iagemin,iagemax,&no,x,y,&a,&b,&r, &sa, &sb ); /* y= a+b*x with standard errors */
-                   pstart[jk]=b;
+                   pstart[s1]=b;
-                   pstart[jk-1]=a;
+                   pstart[s1-1]=a;
                  }else if( j1!=1 && (j1==2 || (log(j1-1.)/log(2.)-(int)(log(j1-1.)/log(2.))) <0.010) && ( TvarsDind[(int)(log(j1-1.)/log(2.))+1]+2+nagesqr == jj)  && Dummy[jj-2-nagesqr]==0){ /* We want only if the position, jj, in model corresponds to unique covariate equal to 1 in j1 combination */
                    printf("j1=%d, jj=%d, (int)(log(j1-1.)/log(2.))+1=%d, TvarsDind[(int)(log(j1-1.)/log(2.))+1]=%d\n",j1, jj,(int)(log(j1-1.)/log(2.))+1,TvarsDind[(int)(log(j1-1.)/log(2.))+1]);
                    printf("j1=%d, jj=%d, (log(j1-1.)/log(2.))+1=%f, TvarsDind[(int)(log(j1-1.)/log(2.))+1]=%d\n",j1, jj,(log(j1-1.)/log(2.))+1,TvarsDind[(int)(log(j1-1.)/log(2.))+1]);
-                   pstart[jk]= log((freq[i][k][iagemax+3]/freq[i][i][iagemax+3])/(freq[i][k][iagemax+4]/freq[i][i][iagemax+4]));
+                   pstart[s1]= log((freq[i][k][iagemax+3]/freq[i][i][iagemax+3])/(freq[i][k][iagemax+4]/freq[i][i][iagemax+4]));
                    printf("%d%d ",i,k);
                    fprintf(ficlog,"%d%d ",i,k);
-                   printf("jk=%d,i=%d,k=%d,p[%d]=%12.7f ln((%.0f/%.0f)/(%.0f/%.0f))= %f, OR=%f sd=%f \n",jk,i,k,jk,p[jk],freq[i][k][iagemax+3],freq[i][i][iagemax+3],freq[i][k][iagemax+4],freq[i][i][iagemax+4], log((freq[i][k][iagemax+3]/freq[i][i][iagemax+3])/(freq[i][k][iagemax+4]/freq[i][i][iagemax+4])),(freq[i][k][iagemax+3]/freq[i][i][iagemax+3])/(freq[i][k][iagemax+4]/freq[i][i][iagemax+4]), sqrt(1/freq[i][k][iagemax+3]+1/freq[i][i][iagemax+3]+1/freq[i][k][iagemax+4]+1/freq[i][i][iagemax+4]));
+                   printf("s1=%d,i=%d,k=%d,p[%d]=%12.7f ln((%.0f/%.0f)/(%.0f/%.0f))= %f, OR=%f sd=%f \n",s1,i,k,s1,p[s1],freq[i][k][iagemax+3],freq[i][i][iagemax+3],freq[i][k][iagemax+4],freq[i][i][iagemax+4], log((freq[i][k][iagemax+3]/freq[i][i][iagemax+3])/(freq[i][k][iagemax+4]/freq[i][i][iagemax+4])),(freq[i][k][iagemax+3]/freq[i][i][iagemax+3])/(freq[i][k][iagemax+4]/freq[i][i][iagemax+4]), sqrt(1/freq[i][k][iagemax+3]+1/freq[i][i][iagemax+3]+1/freq[i][k][iagemax+4]+1/freq[i][i][iagemax+4]));
                  }else{ /* Other cases, like quantitative fixed or varying covariates */
                    ;
                  }
                  /* printf("%12.7f )", param[i][jj][k]); */
                  /* fprintf(ficlog,"%12.7f )", param[i][jj][k]); */
-                 jk++;
+                 s1++;
                } /* end jj */
              } /* end k!= i */
            } /* end k */
-         } /* end i, jk */
+         } /* end i, s1 */
        } /* end j !=0 */
      } /* end selected combination of covariate j1 */
      if(j==0){ /* We can estimate starting values from the occurences in each case */
        printf("#Freqsummary: Starting values for the constants:\n");
        fprintf(ficlog,"\n");
-       for(i=1,jk=1; i <=nlstate; i++){
+       for(i=1,s1=1; i <=nlstate; i++){
          for(k=1; k <=(nlstate+ndeath); k++){
            if (k != i) {
              printf("%d%d ",i,k);
              fprintf(ficlog,"%d%d ",i,k);
              for(jj=1; jj <=ncovmodel; jj++){
-               pstart[jk]=p[jk]; /* Setting pstart to p values by default */
+               pstart[s1]=p[s1]; /* Setting pstart to p values by default */
                if(jj==1){ /* Age has to be done */
-                 pstart[jk]= log(freq[i][k][iagemax+3]/freq[i][i][iagemax+3]);
+                 pstart[s1]= log(freq[i][k][iagemax+3]/freq[i][i][iagemax+3]);
-                 printf("%12.7f ln(%.0f/%.0f)= %12.7f ",p[jk],freq[i][k][iagemax+3],freq[i][i][iagemax+3], log(freq[i][k][iagemax+3]/freq[i][i][iagemax+3]));
+                 printf("%12.7f ln(%.0f/%.0f)= %12.7f ",p[s1],freq[i][k][iagemax+3],freq[i][i][iagemax+3], log(freq[i][k][iagemax+3]/freq[i][i][iagemax+3]));
-                 fprintf(ficlog,"%12.7f ln(%.0f/%.0f)= %12.7f ",p[jk],freq[i][k][iagemax+3],freq[i][i][iagemax+3], log(freq[i][k][iagemax+3]/freq[i][i][iagemax+3]));
+                 fprintf(ficlog,"%12.7f ln(%.0f/%.0f)= %12.7f ",p[s1],freq[i][k][iagemax+3],freq[i][i][iagemax+3], log(freq[i][k][iagemax+3]/freq[i][i][iagemax+3]));
                }
                /* printf("%12.7f )", param[i][jj][k]); */
                /* fprintf(ficlog,"%12.7f )", param[i][jj][k]); */
-               jk++;
+               s1++;
              }
              printf("\n");
              fprintf(ficlog,"\n");
            }
          }
-       }
+       } /* end of state i */
        printf("#Freqsummary\n");
        fprintf(ficlog,"\n");
-       for(jk=-1; jk <=nlstate+ndeath; jk++){
+       for(s1=-1; s1 <=nlstate+ndeath; s1++){
-         for(m=-1; m <=nlstate+ndeath; m++){
+         for(s2=-1; s2 <=nlstate+ndeath; s2++){
-           /* param[i]|j][k]= freq[jk][m][iagemax+3] */
+           /* param[i]|j][k]= freq[s1][s2][iagemax+3] */
-           printf(" %d%d=%.0f",jk,m,freq[jk][m][iagemax+3]);
+           printf(" %d%d=%.0f",s1,s2,freq[s1][s2][iagemax+3]);
-           fprintf(ficlog," %d%d=%.0f",jk,m,freq[jk][m][iagemax+3]);
+           fprintf(ficlog," %d%d=%.0f",s1,s2,freq[s1][s2][iagemax+3]);
-           /* if(freq[jk][m][iage] !=0 ) { /\* minimizing output *\/ */
+           /* if(freq[s1][s2][iage] !=0 ) { /\* minimizing output *\/ */
-           /*   printf(" %d%d=%.0f",jk,m,freq[jk][m][iagemax+3]); */
+           /*   printf(" %d%d=%.0f",s1,s2,freq[s1][s2][iagemax+3]); */
-           /*   fprintf(ficlog," %d%d=%.0f",jk,m,freq[jk][m][iagemax+3]); */
+           /*   fprintf(ficlog," %d%d=%.0f",s1,s2,freq[s1][s2][iagemax+3]); */
            /* } */
          }
-       } /* end loop jk */
+       } /* end loop s1 */
        printf("\n");
        fprintf(ficlog,"\n");
- Line 4786  Title=%s <br>Datafile=%s Firstpass=%d La
+ Line 5555  Title=%s <br>Datafile=%s Firstpass=%d La
      }
    } /* end mle=-2 */
    dateintmean=dateintsum/k2cpt;
+   date2dmy(dateintmean,&jintmean,&mintmean,&aintmean);
    fclose(ficresp);
    fclose(ficresphtm);
    fclose(ficresphtmfr);
+   free_vector(idq,1,nqfveff);
    free_vector(meanq,1,nqfveff);
+   free_vector(stdq,1,nqfveff);
    free_matrix(meanqt,1,lastpass,1,nqtveff);
    free_vector(x, iagemin-AGEMARGE, iagemax+4+AGEMARGE);
    free_vector(y, iagemin-AGEMARGE, iagemax+4+AGEMARGE);
- Line 4802  Title=%s <br>Datafile=%s Firstpass=%d La
+ Line 5574  Title=%s <br>Datafile=%s Firstpass=%d La
    /* End of freqsummary */
  }
+ /* Simple linear regression */
+ int linreg(int ifi, int ila, int *no, const double x[], const double y[], double* a, double* b, double* r, double* sa, double * sb) {
+   /* y=a+bx regression */
+   double   sumx = 0.0;                        /* sum of x                      */
+   double   sumx2 = 0.0;                       /* sum of x**2                   */
+   double   sumxy = 0.0;                       /* sum of x * y                  */
+   double   sumy = 0.0;                        /* sum of y                      */
+   double   sumy2 = 0.0;                       /* sum of y**2                   */
+   double   sume2 = 0.0;                       /* sum of square or residuals */
+   double yhat;
+   double denom=0;
+   int i;
+   int ne=*no;
+   for ( i=ifi, ne=0;i<=ila;i++) {
+     if(!isfinite(x[i]) || !isfinite(y[i])){
+       /* printf(" x[%d]=%f, y[%d]=%f\n",i,x[i],i,y[i]); */
+       continue;
+     }
+     ne=ne+1;
+     sumx  += x[i];
+     sumx2 += x[i]*x[i];
+     sumxy += x[i] * y[i];
+     sumy  += y[i];
+     sumy2 += y[i]*y[i];
+     denom = (ne * sumx2 - sumx*sumx);
+     /* printf("ne=%d, i=%d,x[%d]=%f, y[%d]=%f sumx=%f, sumx2=%f, sumxy=%f, sumy=%f, sumy2=%f, denom=%f\n",ne,i,i,x[i],i,y[i], sumx, sumx2,sumxy, sumy, sumy2,denom); */
+   }
+   denom = (ne * sumx2 - sumx*sumx);
+   if (denom == 0) {
+     // vertical, slope m is infinity
+     *b = INFINITY;
+     *a = 0;
+     if (r) *r = 0;
+     return 1;
+   }
+   *b = (ne * sumxy  -  sumx * sumy) / denom;
+   *a = (sumy * sumx2  -  sumx * sumxy) / denom;
+   if (r!=NULL) {
+     *r = (sumxy - sumx * sumy / ne) /          /* compute correlation coeff     */
+       sqrt((sumx2 - sumx*sumx/ne) *
+            (sumy2 - sumy*sumy/ne));
+   }
+   *no=ne;
+   for ( i=ifi, ne=0;i<=ila;i++) {
+     if(!isfinite(x[i]) || !isfinite(y[i])){
+       /* printf(" x[%d]=%f, y[%d]=%f\n",i,x[i],i,y[i]); */
+       continue;
+     }
+     ne=ne+1;
+     yhat = y[i] - *a -*b* x[i];
+     sume2  += yhat * yhat ;
+     denom = (ne * sumx2 - sumx*sumx);
+     /* printf("ne=%d, i=%d,x[%d]=%f, y[%d]=%f sumx=%f, sumx2=%f, sumxy=%f, sumy=%f, sumy2=%f, denom=%f\n",ne,i,i,x[i],i,y[i], sumx, sumx2,sumxy, sumy, sumy2,denom); */
+   }
+   *sb = sqrt(sume2/(double)(ne-2)/(sumx2 - sumx * sumx /(double)ne));
+   *sa= *sb * sqrt(sumx2/ne);
+   return 0;
+ }
  /************ Prevalence ********************/
  void prevalence(double ***probs, double agemin, double agemax, int **s, double **agev, int nlstate, int imx, int *Tvar, int **nbcode, int *ncodemax,double **mint,double **anint, double dateprev1,double dateprev2, int firstpass, int lastpass)
  {
- Line 4831  void prevalence(double ***probs, double
+ Line 5669  void prevalence(double ***probs, double
    /*j=cptcoveff;*/
    if (cptcovn<1) {j=1;ncodemax[1]=1;}
-   first=1;
+   first=0;
-   for(j1=1; j1<= (int) pow(2,cptcoveff);j1++){ /* For each combination of covariate */
+   for(j1=1; j1<= (int) pow(2,cptcoveff);j1++){ /* For each combination of simple dummy covariates */
      for (i=1; i<=nlstate; i++)
        for(iage=iagemin-AGEMARGE; iage <= iagemax+4+AGEMARGE; iage++)
          prop[i][iage]=0.0;
- Line 4850  void prevalence(double ***probs, double
+ Line 5688  void prevalence(double ***probs, double
          for (z1=1; z1<=cptcoveff; z1++){
            if( Fixed[Tmodelind[z1]]==1){
              iv= Tvar[Tmodelind[z1]]-ncovcol-nqv;
-             if (cotvar[m][iv][i]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]) /* iv=1 to ntv, right modality */
+             if (cotvar[m][iv][i]!= nbcode[Tvaraff[z1]][codtabm(j1,TnsdVar[Tvaraff[z1]])]) /* iv=1 to ntv, right modality */
                bool=0;
            }else if( Fixed[Tmodelind[z1]]== 0)  /* fixed */
-             if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]) {
+             if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtabm(j1,TnsdVar[Tvaraff[z1]])]) {
                bool=0;
              }
          }
- Line 4889  void prevalence(double ***probs, double
+ Line 5727  void prevalence(double ***probs, double
            if(posprop>=1.e-5){
              probs[i][jk][j1]= prop[jk][i]/posprop;
            } else{
-             if(first==1){
+             if(!first){
-               first=0;
+               first=1;
-               printf("Warning Observed prevalence probs[%d][%d][%d]=%lf because of lack of cases\nSee others in log file...\n",jk,i,j1,probs[i][jk][j1]);
+               printf("Warning Observed prevalence doesn't sum to 1 for state %d: probs[%d][%d][%d]=%lf because of lack of cases\nSee others in log file...\n",jk,i,jk, j1,probs[i][jk][j1]);
+             }else{
+               fprintf(ficlog,"Warning Observed prevalence doesn't sum to 1 for state %d: probs[%d][%d][%d]=%lf because of lack of cases.\n",jk,i,jk, j1,probs[i][jk][j1]);
              }
            }
          }
- Line 4909  void prevalence(double ***probs, double
+ Line 5749  void prevalence(double ***probs, double
  void  concatwav(int wav[], int **dh, int **bh,  int **mw, int **s, double *agedc, double **agev, int  firstpass, int lastpass, int imx, int nlstate, int stepm)
  {
-   /* Concatenates waves: wav[i] is the number of effective (useful waves) of individual i.
+   /* Concatenates waves: wav[i] is the number of effective (useful waves in the sense that a non interview is useless) of individual i.
       Death is a valid wave (if date is known).
       mw[mi][i] is the mi (mi=1 to wav[i])  effective wave of individual i
       dh[m][i] or dh[mw[mi][i]][i] is the delay between two effective waves m=mw[mi][i]
-      and mw[mi+1][i]. dh depends on stepm.
+      and mw[mi+1][i]. dh depends on stepm. s[m][i] exists for any wave from firstpass to lastpass
    */
    int i=0, mi=0, m=0, mli=0;
- Line 4934  void  concatwav(int wav[], int **dh, int
+ Line 5774  void  concatwav(int wav[], int **dh, int
    for(i=1; i<=imx; i++){  /* For simple cases and if state is death */
      mi=0;  /* First valid wave */
      mli=0; /* Last valid wave */
-     m=firstpass;
+     m=firstpass;  /* Loop on waves */
-     while(s[m][i] <= nlstate){  /* a live state */
+     while(s[m][i] <= nlstate){  /* a live state or unknown state  */
        if(m >firstpass && s[m][i]==s[m-1][i] && mint[m][i]==mint[m-1][i] && anint[m][i]==anint[m-1][i]){/* Two succesive identical information on wave m */
          mli=m-1;/* mw[++mi][i]=m-1; */
        }else if(s[m][i]>=1 || s[m][i]==-4 || s[m][i]==-5){ /* Since 0.98r4 if status=-2 vital status is really unknown, wave should be skipped */
-         mw[++mi][i]=m;
+         mw[++mi][i]=m; /* Valid wave: incrementing mi and updating mi; mw[mi] is the wave number of mi_th valid transition   */
          mli=m;
        } /* else might be a useless wave  -1 and mi is not incremented and mw[mi] not updated */
        if(m < lastpass){ /* m < lastpass, standard case */
          m++; /* mi gives the "effective" current wave, m the current wave, go to next wave by incrementing m */
        }
-       else{ /* m >= lastpass, eventual special issue with warning */
+       else{ /* m = lastpass, eventual special issue with warning */
  #ifdef UNKNOWNSTATUSNOTCONTRIBUTING
          break;
  #else
-         if(s[m][i]==-1 && (int) andc[i] == 9999 && (int)anint[m][i] != 9999){
+         if(s[m][i]==-1 && (int) andc[i] == 9999 && (int)anint[m][i] != 9999){ /* no death date and known date of interview, case -2 (vital status unknown is warned later */
            if(firsthree == 0){
-             printf("Information! Unknown status for individual %ld line=%d occurred at last wave %d at known date %d/%d. Please, check if your unknown date of death %d/%d means a live state %d at wave %d. This case(%d)/wave(%d) contributes to the likelihood as 1-p%d%d .\nOthers in log file only\n",num[i],i,lastpass,(int)mint[m][i],(int)anint[m][i], (int) moisdc[i], (int) andc[i], s[m][i], m, i, m, s[m][i], nlstate+ndeath);
+             printf("Information! Unknown status for individual %ld line=%d occurred at last wave %d at known date %d/%d. Please, check if your unknown date of death %d/%d means a live state %d at wave %d. This case(%d)/wave(%d) contributes to the likelihood as 1-p_{%d%d} .\nOthers in log file only\n",num[i],i,lastpass,(int)mint[m][i],(int)anint[m][i], (int) moisdc[i], (int) andc[i], s[m][i], m, i, m, s[m][i], nlstate+ndeath);
              firsthree=1;
+           }else if(firsthree >=1 && firsthree < 10){
+             fprintf(ficlog,"Information! Unknown status for individual %ld line=%d occurred at last wave %d at known date %d/%d. Please, check if your unknown date of death %d/%d means a live state %d at wave %d. This case(%d)/wave(%d) contributes to the likelihood as 1-p_{%d%d} .\n",num[i],i,lastpass,(int)mint[m][i],(int)anint[m][i], (int) moisdc[i], (int) andc[i], s[m][i], m, i, m, s[m][i], nlstate+ndeath);
+             firsthree++;
+           }else if(firsthree == 10){
+             printf("Information, too many Information flags: no more reported to log either\n");
+             fprintf(ficlog,"Information, too many Information flags: no more reported to log either\n");
+             firsthree++;
+           }else{
+             firsthree++;
            }
-           fprintf(ficlog,"Information! Unknown status for individual %ld line=%d occurred at last wave %d at known date %d/%d. Please, check if your unknown date of death %d/%d means a live state %d at wave %d. This case(%d)/wave(%d) contributes to the likelihood as 1-p%d%d .\n",num[i],i,lastpass,(int)mint[m][i],(int)anint[m][i], (int) moisdc[i], (int) andc[i], s[m][i], m, i, m, s[m][i], nlstate+ndeath);
+           mw[++mi][i]=m; /* Valid transition with unknown status */
-           mw[++mi][i]=m;
            mli=m;
          }
          if(s[m][i]==-2){ /* Vital status is really unknown */
            nbwarn++;
-           if((int)anint[m][i] == 9999){  /*  Has the vital status really been verified? */
+           if((int)anint[m][i] == 9999){  /*  Has the vital status really been verified?not a transition */
              printf("Warning! Vital status for individual %ld (line=%d) at last wave %d interviewed at date %d/%d is unknown %d. Please, check if the vital status and the date of death %d/%d are really unknown. This case (%d)/wave (%d) is skipped, no contribution to likelihood.\nOthers in log file only\n",num[i],i,lastpass,(int)mint[m][i],(int)anint[m][i], s[m][i], (int) moisdc[i], (int) andc[i], i, m);
              fprintf(ficlog,"Warning! Vital status for individual %ld (line=%d) at last wave %d interviewed at date %d/%d is unknown %d. Please, check if the vital status and the date of death %d/%d are really unknown. This case (%d)/wave (%d) is skipped, no contribution to likelihood.\n",num[i],i,lastpass,(int)mint[m][i],(int)anint[m][i], s[m][i], (int) moisdc[i], (int) andc[i], i, m);
            }
- Line 4985  void  concatwav(int wav[], int **dh, int
+ Line 5833  void  concatwav(int wav[], int **dh, int
  #ifndef DISPATCHINGKNOWNDEATHAFTERLASTWAVE
      else if ((int) andc[i] != 9999) {  /* Date of death is known */
        if ((int)anint[m][i]!= 9999) { /* date of last interview is known */
-         if((andc[i]+moisdc[i]/12.) <=(anint[m][i]+mint[m][i]/12.)){ /* death occured before last wave and status should have been death instead of -1 */
+         if((andc[i]+moisdc[i]/12.) <=(anint[m][i]+mint[m][i]/12.)){ /* month of death occured before last wave month and status should have been death instead of -1 */
            nbwarn++;
            if(firstfiv==0){
-             printf("Warning! Death for individual %ld line=%d occurred at %d/%d before last wave %d interviewed at %d/%d and should have been coded as death instead of '%d'. This case (%d)/wave (%d) is contributing to likelihood.\nOthers in log file only\n",num[i],i,(int) moisdc[i], (int) andc[i], lastpass,(int)mint[m][i],(int)anint[m][i], s[m][i], i,m );
+             printf("Warning! Death for individual %ld line=%d occurred at %d/%d before last wave %d, interviewed on %d/%d and should have been coded as death instead of '%d'. This case (%d)/wave (%d) is contributing to likelihood.\nOthers in log file only\n",num[i],i,(int) moisdc[i], (int) andc[i], lastpass,(int)mint[m][i],(int)anint[m][i], s[m][i], i,m );
              firstfiv=1;
            }else{
-             fprintf(ficlog,"Warning! Death for individual %ld line=%d occurred at %d/%d before last wave %d interviewed at %d/%d and should have been coded as death instead of '%d'. This case (%d)/wave (%d) is contributing to likelihood.\n",num[i],i,(int) moisdc[i], (int) andc[i], lastpass,(int)mint[m][i],(int)anint[m][i], s[m][i], i,m );
+             fprintf(ficlog,"Warning! Death for individual %ld line=%d occurred at %d/%d before last wave %d, interviewed on %d/%d and should have been coded as death instead of '%d'. This case (%d)/wave (%d) is contributing to likelihood.\n",num[i],i,(int) moisdc[i], (int) andc[i], lastpass,(int)mint[m][i],(int)anint[m][i], s[m][i], i,m );
            }
-         }else{ /* Death occured afer last wave potential bias */
+             s[m][i]=nlstate+1; /* Fixing the status as death. Be careful if multiple death states */
+         }else{ /* Month of Death occured afer last wave month, potential bias */
            nberr++;
            if(firstwo==0){
-             printf("Error! Death for individual %ld line=%d occurred at %d/%d after last wave %d interviewed at %d/%d. Potential bias if other individuals are still alive at this date but ignored. This case (%d)/wave (%d) is skipped, no contribution to likelihood. Please add a new fictive wave at the date of last vital status scan, with a dead status or alive but unknown state status (-1). See documentation\nOthers in log file only\n",num[i],i,(int) moisdc[i], (int) andc[i], lastpass,(int)mint[m][i],(int)anint[m][i], i,m );
+             printf("Error! Death for individual %ld line=%d occurred at %d/%d after last wave %d interviewed at %d/%d with status %d. Potential bias if other individuals are still alive on this date but ignored. This case (%d)/wave (%d) is skipped, no contribution to likelihood. Please add a new fictitious wave at the date of last vital status scan, with a dead status. See documentation\nOthers in log file only\n",num[i],i,(int) moisdc[i], (int) andc[i], lastpass,(int)mint[m][i],(int)anint[m][i], s[m][i], i,m );
              firstwo=1;
            }
-           fprintf(ficlog,"Error! Death for individual %ld line=%d occurred at %d/%d after last wave %d interviewed at %d/%d. Potential bias if other individuals are still alive at this date but ignored. This case (%d)/wave (%d) is skipped, no contribution to likelihood. Please add a new fictive wave at the date of last vital status scan, with a dead status or alive but unknown state status (-1). See documentation\n\n",num[i],i,(int) moisdc[i], (int) andc[i], lastpass,(int)mint[m][i],(int)anint[m][i], i,m );
+           fprintf(ficlog,"Error! Death for individual %ld line=%d occurred at %d/%d after last wave %d interviewed at %d/%d with status %d. Potential bias if other individuals are still alive on this date but ignored. This case (%d)/wave (%d) is skipped, no contribution to likelihood. Please add a new fictitious wave at the date of last vital status scan, with a dead status. See documentation\n\n",num[i],i,(int) moisdc[i], (int) andc[i], lastpass,(int)mint[m][i],(int)anint[m][i], s[m][i], i,m );
          }
        }else{ /* if date of interview is unknown */
          /* death is known but not confirmed by death status at any wave */
          if(firstfour==0){
-           printf("Error! Death for individual %ld line=%d  occurred %d/%d but not confirmed by any death status for any wave, including last wave %d at unknown date %d/%d. Potential bias if other individuals are still alive at this date but ignored. This case (%d)/wave (%d) is skipped, no contribution to likelihood.\nOthers in log file only\n",num[i],i,(int) moisdc[i], (int) andc[i], lastpass,(int)mint[m][i],(int)anint[m][i], i,m );
+           printf("Error! Death for individual %ld line=%d  occurred %d/%d but not confirmed by any death status for any wave, including last wave %d at unknown date %d/%d with status %d. Potential bias if other individuals are still alive at this date but ignored. This case (%d)/wave (%d) is skipped, no contribution to likelihood.\nOthers in log file only\n",num[i],i,(int) moisdc[i], (int) andc[i], lastpass,(int)mint[m][i],(int)anint[m][i], s[m][i], i,m );
            firstfour=1;
          }
-         fprintf(ficlog,"Error! Death for individual %ld line=%d  occurred %d/%d but not confirmed by any death status for any wave, including last wave %d at unknown date %d/%d. Potential bias if other individuals are still alive at this date but ignored. This case (%d)/wave (%d) is skipped, no contribution to likelihood.\n",num[i],i,(int) moisdc[i], (int) andc[i], lastpass,(int)mint[m][i],(int)anint[m][i], i,m );
+         fprintf(ficlog,"Error! Death for individual %ld line=%d  occurred %d/%d but not confirmed by any death status for any wave, including last wave %d at unknown date %d/%d  with status %d. Potential bias if other individuals are still alive at this date but ignored. This case (%d)/wave (%d) is skipped, no contribution to likelihood.\n",num[i],i,(int) moisdc[i], (int) andc[i], lastpass,(int)mint[m][i],(int)anint[m][i], s[m][i], i,m );
        }
      } /* end if date of death is known */
  #endif
-     wav[i]=mi; /* mi should be the last effective wave (or mli) */
+     wav[i]=mi; /* mi should be the last effective wave (or mli),  */
-     /* wav[i]=mw[mi][i]; */
+     /* wav[i]=mw[mi][i];   */
      if(mi==0){
        nbwarn++;
        if(first==0){
- Line 5026  void  concatwav(int wav[], int **dh, int
+ Line 5875  void  concatwav(int wav[], int **dh, int
    } /* End individuals */
    /* wav and mw are no more changed */
+   printf("Information, you have to check %d informations which haven't been logged!\n",firsthree);
+   fprintf(ficlog,"Information, you have to check %d informations which haven't been logged!\n",firsthree);
    for(i=1; i<=imx; i++){
      for(mi=1; mi<wav[i];mi++){
        if (stepm <=0)
- Line 5137  void  concatwav(int wav[], int **dh, int
+ Line 5989  void  concatwav(int wav[], int **dh, int
     /* *cptcov=0; */
     for (k=1; k <= maxncov; k++) ncodemax[k]=0; /* Horrible constant again replaced by NCOVMAX */
+    for (k=1; k <= maxncov; k++)
+      for(j=1; j<=2; j++)
+        nbcode[k][j]=0; /* Valgrind */
     /* Loop on covariates without age and products and no quantitative variable */
-    /* for (j=1; j<=(cptcovs); j++) { /\* From model V1 + V2*age+ V3 + V3*V4 keeps V1 + V3 = 2 only *\/ */
+    for (k=1; k<=cptcovt; k++) { /* cptcovt: total number of covariates of the model (2) nbocc(+)+1 = 8 excepting constant and age and age*age */
-    for (k=1; k<=cptcovt; k++) { /* From model V1 + V2*age + V3 + V3*V4 keeps V1 + V3 = 2 only */
       for (j=-1; (j < maxncov); j++) Ndum[j]=0;
       if(Dummy[k]==0 && Typevar[k] !=1){ /* Dummy covariate and not age product */
         switch(Fixed[k]) {
         case 0: /* Testing on fixed dummy covariate, simple or product of fixed */
+          modmaxcovj=0;
+          modmincovj=0;
           for (i=1; i<=imx; i++) { /* Loop on individuals: reads the data file to get the maximum value of the  modality of this covariate Vj*/
             ij=(int)(covar[Tvar[k]][i]);
             /* ij=0 or 1 or -1. Value of the covariate Tvar[j] for individual i
- Line 5157  void  concatwav(int wav[], int **dh, int
+ Line 6013  void  concatwav(int wav[], int **dh, int
               modmaxcovj=ij;
             else if (ij < modmincovj)
               modmincovj=ij;
-            if ((ij < -1) && (ij > NCOVMAX)){
+            if (ij <0 || ij >1 ){
+              printf("ERROR, IMaCh doesn't treat covariate with missing values V%d=-1, individual %d will be skipped.\n",Tvar[k],i);
+              fprintf(ficlog,"ERROR, currently IMaCh doesn't treat covariate with missing values V%d=-1, individual %d will be skipped.\n",Tvar[k],i);
+              fflush(ficlog);
+              exit(1);
+            }
+            if ((ij < -1) || (ij > NCOVMAX)){
               printf( "Error: minimal is less than -1 or maximal is bigger than %d. Exiting. \n", NCOVMAX );
               exit(1);
             }else
- Line 5203  void  concatwav(int wav[], int **dh, int
+ Line 6065  void  concatwav(int wav[], int **dh, int
           /* nbcode[Tvar[j]][3]=2; */
           /* To be continued (not working yet). */
           ij=0; /* ij is similar to i but can jump over null modalities */
-          for (i=modmincovj; i<=modmaxcovj; i++) { /* i= 1 to 2 for dichotomous, or from 1 to 3 or from -1 or 0 to 1 currently*/
+          /* for (i=modmincovj; i<=modmaxcovj; i++) { */ /* i= 1 to 2 for dichotomous, or from 1 to 3 or from -1 or 0 to 1 currently*/
+          /* Skipping the case of missing values by reducing nbcode to 0 and 1 and not -1, 0, 1 */
+          /* model=V1+V2+V3, if V2=-1, 0 or 1, then nbcode[2][1]=0 and nbcode[2][2]=1 instead of
+           * nbcode[2][1]=-1, nbcode[2][2]=0 and nbcode[2][3]=1 */
+          /*, could be restored in the future */
+          for (i=0; i<=1; i++) { /* i= 1 to 2 for dichotomous, or from 1 to 3 or from -1 or 0 to 1 currently*/
             if (Ndum[i] == 0) { /* If nobody responded to this modality k */
               break;
             }
             ij++;
-            nbcode[Tvar[k]][ij]=i;  /* stores the original value of modality i in an array nbcode, ij modality from 1 to last non-nul modality. nbcode[1][1]=0 nbcode[1][2]=1*/
+            nbcode[Tvar[k]][ij]=i;  /* stores the original value of modality i in an array nbcode, ij modality from 1 to last non-nul modality. nbcode[1][1]=0 nbcode[1][2]=1 . Could be -1*/
             cptcode = ij; /* New max modality for covar j */
           } /* end of loop on modality i=-1 to 1 or more */
           break;
- Line 5224  void  concatwav(int wav[], int **dh, int
+ Line 6092  void  concatwav(int wav[], int **dh, int
           break;
         } /* end switch */
       } /* end dummy test */
+      if(Dummy[k]==1 && Typevar[k] !=1){ /* Quantitative covariate and not age product */
-      /*   for (k=0; k<= cptcode; k++) { /\* k=-1 ? k=0 to 1 *\//\* Could be 1 to 4 *\//\* cptcode=modmaxcovj *\/ */
+        for (i=1; i<=imx; i++) { /* Loop on individuals: reads the data file to get the maximum value of the  modality of this covariate Vj*/
-      /*         /\*recode from 0 *\/ */
+          if(Tvar[k]<=0 || Tvar[k]>=NCOVMAX){
-      /*                                      k is a modality. If we have model=V1+V1*sex  */
+            printf("Error k=%d \n",k);
-      /*                                      then: nbcode[1][1]=0 ; nbcode[1][2]=1; nbcode[2][1]=0 ; nbcode[2][2]=1; */
+            exit(1);
-      /*                                   But if some modality were not used, it is recoded from 0 to a newer modmaxcovj=cptcode *\/ */
+          }
-      /*         } */
+          if(isnan(covar[Tvar[k]][i])){
-      /*         /\* cptcode = ij; *\/ /\* New max modality for covar j *\/ */
+            printf("ERROR, IMaCh doesn't treat fixed quantitative covariate with missing values V%d=., individual %d will be skipped.\n",Tvar[k],i);
-      /*         if (ij > ncodemax[j]) { */
+            fprintf(ficlog,"ERROR, currently IMaCh doesn't treat covariate with missing values V%d=., individual %d will be skipped.\n",Tvar[k],i);
-      /*           printf( " Error ij=%d > ncodemax[%d]=%d\n", ij, j, ncodemax[j]);  */
+            fflush(ficlog);
-      /*           fprintf(ficlog, " Error ij=%d > ncodemax[%d]=%d\n", ij, j, ncodemax[j]); */
+            exit(1);
-      /*           break; */
+          }
-      /*         } */
+        }
-      /*   }  /\* end of loop on modality k *\/ */
+      } /* end Quanti */
-    } /* end of loop on model-covariate j. nbcode[Tvarj][1]=0 and nbcode[Tvarj][2]=1 sets the value of covariate j*/
+    } /* end of loop on model-covariate k. nbcode[Tvark][1]=-1, nbcode[Tvark][1]=0 and nbcode[Tvark][2]=1 sets the value of covariate k*/
     for (k=-1; k< maxncov; k++) Ndum[k]=0;
     /* Look at fixed dummy (single or product) covariates to check empty modalities */
- Line 5251  void  concatwav(int wav[], int **dh, int
+ Line 6119  void  concatwav(int wav[], int **dh, int
     ij=0;
     /* for (i=0; i<=  maxncov-1; i++) { /\* modmaxcovj is unknown here. Only Ndum[2(V2),3(age*V3), 5(V3*V2) 6(V1*V4) *\/ */
-    for (k=1; k<=  cptcovt; k++) { /* modmaxcovj is unknown here. Only Ndum[2(V2),3(age*V3), 5(V3*V2) 6(V1*V4) */
+    for (k=1; k<=  cptcovt; k++) { /* cptcovt: total number of covariates of the model (2) nbocc(+)+1 = 8 excepting constant and age and age*age */
+      /* 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)){  /\* Tvar[i] <= ncovmodel ? *\/ */
-      if(Ndum[Tvar[k]]!=0 && Dummy[k] == 0 && Typevar[k]==0){  /* Only Dummy and non empty in the model */
+      if(Ndum[Tvar[k]]!=0 && Dummy[k] == 0 && Typevar[k]==0){  /* Only Dummy simple and non empty in the model */
+        /* Typevar[k] =0 for simple covariate (dummy, quantitative, fixed or varying), 1 for age product, 2 for product */
+        /* Dummy[k] 0=dummy (0 1), 1 quantitative (single or product without age), 2 dummy with age product, 3 quant with age product*/
         /* If product not in single variable we don't print results */
         /*printf("diff Ndum[%d]=%d\n",i, Ndum[i]);*/
-        ++ij;/* V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1, */
+        ++ij;/*    V5 + V4 + V3 + V4*V3 + V5*age + V2 +  V1*V2 + V1*age + V1, *//* V5 quanti, V2 quanti, V4, V3, V1 dummies */
+        /* k=       1    2   3     4       5       6      7       8        9  */
+        /* Tvar[k]= 5    4    3    6       5       2      7       1        1  */
+        /* ij            1    2                                            3  */
+        /* Tvaraff[ij]=  4    3                                            1  */
+        /* Tmodelind[ij]=2    3                                            9  */
+        /* TmodelInvind[ij]=2 1                                            1  */
         Tvaraff[ij]=Tvar[k]; /* For printing combination *//* V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1, Tvar {5, 4, 3, 6, 5, 2, 7, 1, 1} Tvaraff={4, 3, 1} V4, V3, V1*/
         Tmodelind[ij]=k; /* Tmodelind: index in model of dummies Tmodelind[1]=2 V4: pos=2; V3: pos=3, V1=9 {2, 3, 9, ?, ?,} */
         TmodelInvind[ij]=Tvar[k]- ncovcol-nqv; /* Inverse TmodelInvind[2=V4]=2 second dummy varying cov (V4)4-1-1 {0, 2, 1, } TmodelInvind[3]=1 */
- Line 5273  void  concatwav(int wav[], int **dh, int
+ Line 6150  void  concatwav(int wav[], int **dh, int
     } /* Tvaraff[1]@5 {3, 4, -20, 0, 0} Very strange */
     /* ij--; */
     /* cptcoveff=ij; /\*Number of total covariates*\/ */
-    *cptcov=ij; /*Number of total real effective covariates: effective
+    *cptcov=ij; /* cptcov= Number of total real effective simple dummies (fixed or time  arying) effective (used as cptcoveff in other functions)
                  * because they can be excluded from the model and real
                  * if in the model but excluded because missing values, but how to get k from ij?*/
     for(j=ij+1; j<= cptcovt; j++){
- Line 5294  void  concatwav(int wav[], int **dh, int
+ Line 6171  void  concatwav(int wav[], int **dh, int
  {
    /* Health expectancies, no variances */
+   /* cij is the combination in the list of combination of dummy covariates */
+   /* strstart is a string of time at start of computing */
    int i, j, nhstepm, hstepm, h, nstepm;
    int nhstepma, nstepma; /* Decreasing with age */
    double age, agelim, hf;
- Line 5331  void  concatwav(int wav[], int **dh, int
+ Line 6210  void  concatwav(int wav[], int **dh, int
    /* 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 hpijx to understand the reason which relies in memory size consideration
       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
- Line 5362  void  concatwav(int wav[], int **dh, int
+ Line 6241  void  concatwav(int wav[], int **dh, int
      /* 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 */
+     /* printf("HELLO evsij Entering hpxij age=%d cij=%d hstepm=%d x[1]=%f nres=%d\n",(int) age, cij, hstepm, x[1], nres); */
      hpxij(p3mat,nhstepma,age,hstepm,x,nlstate,stepm,oldm, savm, cij, nres);
      hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
- Line 5404  void  concatwav(int wav[], int **dh, int
+ Line 6283  void  concatwav(int wav[], int **dh, int
    /* Covariances of health expectancies eij and of total life expectancies according
       to initial status i, ei. .
    */
+   /* Very time consuming function, but already optimized with precov */
    int i, j, nhstepm, hstepm, h, nstepm, k, cptj, cptj2, i2, j2, ij, ji;
    int nhstepma, nstepma; /* Decreasing with age */
    double age, agelim, hf;
- Line 5551  void  concatwav(int wav[], int **dh, int
+ Line 6431  void  concatwav(int wav[], int **dh, int
              varhe[ij][ji][(int)age] += doldm[ij][ji]*hf*hf;
        }
      }
+     /* if((int)age ==50){ */
+     /*   printf(" age=%d cij=%d nres=%d varhe[%d][%d]=%f ",(int)age, cij, nres, 1,2,varhe[1][2]); */
+     /* } */
      /* Computing expectancies */
      hpxij(p3matm,nhstepm,age,hstepm,x,nlstate,stepm,oldm, savm, cij,nres);
      for(i=1; i<=nlstate;i++)
- Line 5562  void  concatwav(int wav[], int **dh, int
+ Line 6444  void  concatwav(int wav[], int **dh, int
            /* 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]);*/
          }
+     /* Standard deviation of expectancies ij */
      fprintf(ficresstdeij,"%3.0f",age );
      for(i=1; i<=nlstate;i++){
        eip=0.;
- Line 5577  void  concatwav(int wav[], int **dh, int
+ Line 6460  void  concatwav(int wav[], int **dh, int
      }
      fprintf(ficresstdeij,"\n");
+     /* Variance of expectancies ij */
      fprintf(ficrescveij,"%3.0f",age );
      for(i=1; i<=nlstate;i++)
        for(j=1; j<=nlstate;j++){
- Line 5610  void  concatwav(int wav[], int **dh, int
+ Line 6494  void  concatwav(int wav[], int **dh, int
  /************ Variance ******************/
   void varevsij(char optionfilefiname[], double ***vareij, double **matcov, double x[], double delti[], int nlstate, int stepm, double bage, double fage, double **oldm, double **savm, double **prlim, double ftolpl, int *ncvyearp, int ij, int estepm, int cptcov, int cptcod, int popbased, int mobilav, char strstart[], int nres)
   {
-    /* Variance of health expectancies */
+    /** Variance of health expectancies
-    /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);*/
+     *  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);
-    /* double **newm;*/
+     * double **newm;
-    /* int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav)*/
+     * int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav)
+     */
     /* int movingaverage(); */
     double **dnewm,**doldm;
     double **dnewmp,**doldmp;
     int i, j, nhstepm, hstepm, h, nstepm ;
+    int first=0;
     int k;
     double *xp;
-    double **gp, **gm;  /* for var eij */
+    double **gp, **gm;  /**< for var eij */
-    double ***gradg, ***trgradg; /*for var eij */
+    double ***gradg, ***trgradg; /**< for var eij */
-    double **gradgp, **trgradgp; /* for var p point j */
+    double **gradgp, **trgradgp; /**< for var p point j */
-    double *gpp, *gmp; /* for var p point j */
+    double *gpp, *gmp; /**< for var p point j */
-    double **varppt; /* for var p point j nlstate to nlstate+ndeath */
+    double **varppt; /**< for var p point j nlstate to nlstate+ndeath */
     double ***p3mat;
     double age,agelim, hf;
     /* double ***mobaverage; */
- Line 5666  void  concatwav(int wav[], int **dh, int
+ Line 6552  void  concatwav(int wav[], int **dh, int
     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,"# Selected quantitative variables and dummies");
-    for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
-      fprintf(ficresprobmorprev," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
+    /* We use TinvDoQresult[nres][resultmodel[nres][j] we sort according to the equation model and the resultline: it is a choice */
+    /* for (j=1; j<= nsq; j++){ /\* For each selected (single) quantitative value *\/ /\* To be done*\/ */
+    /*   fprintf(ficresprobmorprev," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][resultmodel[nres][j]]); */
+    /* } */
+    for (j=1; j<= cptcovs; j++){ /* For each selected (single) quantitative value */ /* To be done*/
+      fprintf(ficresprobmorprev," V%d=%lg ",Tvresult[nres][j],TinvDoQresult[nres][Tvresult[nres][j]]);
     }
-    for(j=1;j<=cptcoveff;j++)
+    /* for(j=1;j<=cptcoveff;j++)  */
-      fprintf(ficresprobmorprev,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(ij,j)]);
+    /*   fprintf(ficresprobmorprev," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(ij,TnsdVar[Tvaraff[j]])]); */
     fprintf(ficresprobmorprev,"\n");
     fprintf(ficresprobmorprev,"# Age cov=%-d",ij);
- Line 5686  void  concatwav(int wav[], int **dh, int
+ Line 6577  void  concatwav(int wav[], int **dh, int
     /* fprintf(fichtm, "#Local time at start: %s", strstart);*/
     fprintf(fichtm,"\n<li><h4> Computing probabilities of dying over estepm months as a weighted average (i.e global mortality independent of initial healh state)</h4></li>\n");
     fprintf(fichtm,"\n<br>%s  <br>\n",digitp);
-    /*   } */
     varppt = matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
     pstamp(ficresvij);
     fprintf(ficresvij,"# Variance and covariance of health expectancies e.j \n#  (weighted average of eij where weights are ");
- Line 5741  void  concatwav(int wav[], int **dh, int
+ Line 6632  void  concatwav(int wav[], int **dh, int
         for(i=1; i<=npar; i++){ /* Computes gradient x + delta*/
           xp[i] = x[i] + (i==theta ?delti[theta]:0);
         }
+        /**< Computes the prevalence limit with parameter theta shifted of delta up to ftolpl precision and
+         * returns into prlim .
+         */
         prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij, nres);
+        /* If popbased = 1 we use crossection prevalences. Previous step is useless but prlim is created */
         if (popbased==1) {
           if(mobilav ==0){
             for(i=1; i<=nlstate;i++)
- Line 5753  void  concatwav(int wav[], int **dh, int
+ Line 6647  void  concatwav(int wav[], int **dh, int
               prlim[i][i]=mobaverage[(int)age][i][ij];
           }
         }
+        /**< Computes the shifted transition matrix \f$ {}{h}_p^{ij}x\f$ at horizon h.
-        hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij,nres);  /* Returns p3mat[i][j][h] for h=1 to nhstepm */
+         */
+        hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij,nres);  /* Returns p3mat[i][j][h] for h=0 to nhstepm */
+        /**< And for each alive state j, sums over i \f$ w^i_x {}{h}_p^{ij}x\f$, which are the probability
+         * at horizon h in state j including mortality.
+         */
         for(j=1; j<= nlstate; j++){
           for(h=0; h<=nhstepm; h++){
             for(i=1, gp[h][j]=0.;i<=nlstate;i++)
               gp[h][j] += prlim[i][i]*p3mat[i][j][h];
           }
         }
-        /* Next for computing probability of death (h=1 means
+        /* Next for computing shifted+ probability of death (h=1 means
            computed over hstepm matrices product = hstepm*stepm months)
-           as a weighted average of prlim.
+           as a weighted average of prlim(i) * p(i,j) p.3=w1*p13 + w2*p23 .
         */
         for(j=nlstate+1;j<=nlstate+ndeath;j++){
           for(i=1,gpp[j]=0.; i<= nlstate; i++)
             gpp[j] += prlim[i][i]*p3mat[i][j][1];
         }
-        /* end probability of death */
+        /* Again with minus shift */
         for(i=1; i<=npar; i++) /* Computes gradient x - delta */
           xp[i] = x[i] - (i==theta ?delti[theta]:0);
         prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp, ij, nres);
         if (popbased==1) {
- Line 5802  void  concatwav(int wav[], int **dh, int
+ Line 6701  void  concatwav(int wav[], int **dh, int
           for(i=1,gmp[j]=0.; i<= nlstate; i++)
             gmp[j] += prlim[i][i]*p3mat[i][j][1];
         }
-        /* end probability of death */
+        /* end shifting computations */
+        /**< Computing gradient matrix at horizon h
+         */
         for(j=1; j<= nlstate; j++) /* vareij */
           for(h=0; h<=nhstepm; h++){
             gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta];
           }
+        /**< Gradient of overall mortality p.3 (or p.j)
-        for(j=nlstate+1; j<= nlstate+ndeath; j++){ /* var mu */
+         */
+        for(j=nlstate+1; j<= nlstate+ndeath; j++){ /* var mu mortality from j */
           gradgp[theta][j]= (gpp[j]-gmp[j])/2./delti[theta];
         }
       } /* End theta */
+      /* We got the gradient matrix for each theta and state j */
       trgradg =ma3x(0,nhstepm,1,nlstate,1,npar); /* veij */
       for(h=0; h<=nhstepm; h++) /* veij */
- Line 5825  void  concatwav(int wav[], int **dh, int
+ Line 6728  void  concatwav(int wav[], int **dh, int
       for(j=nlstate+1; j<=nlstate+ndeath;j++) /* mu */
         for(theta=1; theta <=npar; theta++)
           trgradgp[j][theta]=gradgp[theta][j];
+      /**< as well as its transposed matrix
+       */
       hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
       for(i=1;i<=nlstate;i++)
         for(j=1;j<=nlstate;j++)
           vareij[i][j][(int)age] =0.;
+      /* Computing trgradg by matcov by gradg at age and summing over h
+       * and k (nhstepm) formula 15 of article
+       * Lievre-Brouard-Heathcote
+       */
       for(h=0;h<=nhstepm;h++){
         for(k=0;k<=nhstepm;k++){
           matprod2(dnewm,trgradg[h],1,nlstate,1,npar,1,npar,matcov);
- Line 5842  void  concatwav(int wav[], int **dh, int
+ Line 6751  void  concatwav(int wav[], int **dh, int
         }
       }
-      /* pptj */
+      /* pptj is p.3 or p.j = trgradgp by cov by gradgp, variance of
+       * p.j overall mortality formula 49 but computed directly because
+       * we compute the grad (wix pijx) instead of grad (pijx),even if
+       * wix is independent of theta.
+       */
       matprod2(dnewmp,trgradgp,nlstate+1,nlstate+ndeath,1,npar,1,npar,matcov);
       matprod2(doldmp,dnewmp,nlstate+1,nlstate+ndeath,1,npar,nlstate+1,nlstate+ndeath,gradgp);
       for(j=nlstate+1;j<=nlstate+ndeath;j++)
- Line 5930  void  concatwav(int wav[], int **dh, int
+ Line 6843  void  concatwav(int wav[], int **dh, int
   }  /* end varevsij */
  /************ Variance of prevlim ******************/
-  void varprevlim(char fileres[], double **varpl, double **matcov, double x[], double delti[], int nlstate, int stepm, double bage, double fage, double **oldm, double **savm, double **prlim, double ftolpl, int *ncvyearp, int ij, char strstart[], int nres)
+  void varprevlim(char fileresvpl[], FILE *ficresvpl, double **varpl, double **matcov, double x[], double delti[], int nlstate, int stepm, double bage, double fage, double **oldm, double **savm, double **prlim, double ftolpl, int *ncvyearp, int ij, char strstart[], int nres)
  {
    /* Variance of prevalence limit  for each state ij using current parameters x[] and estimates of neighbourhood give by delti*/
    /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double **savm,double ftolpl);*/
-   double **dnewm,**doldm;
+   double **dnewmpar,**doldm;
    int i, j, nhstepm, hstepm;
    double *xp;
    double *gp, *gm;
- Line 5945  void  concatwav(int wav[], int **dh, int
+ Line 6858  void  concatwav(int wav[], int **dh, int
    int theta;
    pstamp(ficresvpl);
-   fprintf(ficresvpl,"# Standard deviation of period (stable) prevalences \n");
+   fprintf(ficresvpl,"# Standard deviation of period (forward stable) prevalences \n");
    fprintf(ficresvpl,"# Age ");
    if(nresult >=1)
      fprintf(ficresvpl," Result# ");
- Line 5954  void  concatwav(int wav[], int **dh, int
+ Line 6867  void  concatwav(int wav[], int **dh, int
    fprintf(ficresvpl,"\n");
    xp=vector(1,npar);
-   dnewm=matrix(1,nlstate,1,npar);
+   dnewmpar=matrix(1,nlstate,1,npar);
    doldm=matrix(1,nlstate,1,nlstate);
    hstepm=1*YEARM; /* Every year of age */
- Line 5974  void  concatwav(int wav[], int **dh, int
+ Line 6887  void  concatwav(int wav[], int **dh, int
        for(i=1; i<=npar; i++){ /* Computes gradient */
          xp[i] = x[i] + (i==theta ?delti[theta]:0);
        }
-       if((int)age==79 ||(int)age== 80 ||(int)age== 81 )
+       /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ) */
-         prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij,nres);
+       /*        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij,nres); */
-       else
+       /* else */
-         prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij,nres);
+       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij,nres);
        for(i=1;i<=nlstate;i++){
          gp[i] = prlim[i][i];
          mgp[theta][i] = prlim[i][i];
        }
        for(i=1; i<=npar; i++) /* Computes gradient */
          xp[i] = x[i] - (i==theta ?delti[theta]:0);
-       if((int)age==79 ||(int)age== 80 ||(int)age== 81 )
+       /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ) */
-         prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij,nres);
+       /*        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij,nres); */
-       else
+       /* else */
-         prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij,nres);
+       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij,nres);
        for(i=1;i<=nlstate;i++){
          gm[i] = prlim[i][i];
          mgm[theta][i] = prlim[i][i];
- Line 6024  void  concatwav(int wav[], int **dh, int
+ Line 6937  void  concatwav(int wav[], int **dh, int
      for(i=1;i<=nlstate;i++)
        varpl[i][(int)age] =0.;
      if((int)age==79 ||(int)age== 80  ||(int)age== 81){
-     matprod2(dnewm,trgradg,1,nlstate,1,npar,1,npar,matcov);
+     matprod2(dnewmpar,trgradg,1,nlstate,1,npar,1,npar,matcov);
-     matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg);
+     matprod2(doldm,dnewmpar,1,nlstate,1,npar,1,nlstate,gradg);
      }else{
-     matprod2(dnewm,trgradg,1,nlstate,1,npar,1,npar,matcov);
+     matprod2(dnewmpar,trgradg,1,nlstate,1,npar,1,npar,matcov);
-     matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg);
+     matprod2(doldm,dnewmpar,1,nlstate,1,npar,1,nlstate,gradg);
      }
      for(i=1;i<=nlstate;i++)
        varpl[i][(int)age] = doldm[i][i]; /* Covariances are useless */
- Line 6036  void  concatwav(int wav[], int **dh, int
+ Line 6949  void  concatwav(int wav[], int **dh, int
      fprintf(ficresvpl,"%.0f ",age );
      if(nresult >=1)
        fprintf(ficresvpl,"%d ",nres );
-     for(i=1; i<=nlstate;i++)
+     for(i=1; i<=nlstate;i++){
        fprintf(ficresvpl," %.5f (%.5f)",prlim[i][i],sqrt(varpl[i][(int)age]));
+       /* for(j=1;j<=nlstate;j++) */
+       /*        fprintf(ficresvpl," %d %.5f ",j,prlim[j][i]); */
+     }
      fprintf(ficresvpl,"\n");
      free_vector(gp,1,nlstate);
      free_vector(gm,1,nlstate);
- Line 6049  void  concatwav(int wav[], int **dh, int
+ Line 6965  void  concatwav(int wav[], int **dh, int
    free_vector(xp,1,npar);
    free_matrix(doldm,1,nlstate,1,npar);
-   free_matrix(dnewm,1,nlstate,1,nlstate);
+   free_matrix(dnewmpar,1,nlstate,1,nlstate);
+ }
+ /************ Variance of backprevalence limit ******************/
+  void varbrevlim(char fileresvbl[], FILE  *ficresvbl, double **varbpl, double **matcov, double x[], double delti[], int nlstate, int stepm, double bage, double fage, double **oldm, double **savm, double **bprlim, double ftolpl, int mobilavproj, int *ncvyearp, int ij, char strstart[], int nres)
+ {
+   /* Variance of backward prevalence limit  for each state ij using current parameters x[] and estimates of neighbourhood give by delti*/
+   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double **savm,double ftolpl);*/
+   double **dnewmpar,**doldm;
+   int i, j, nhstepm, hstepm;
+   double *xp;
+   double *gp, *gm;
+   double **gradg, **trgradg;
+   double **mgm, **mgp;
+   double age,agelim;
+   int theta;
+   pstamp(ficresvbl);
+   fprintf(ficresvbl,"# Standard deviation of back (stable) prevalences \n");
+   fprintf(ficresvbl,"# Age ");
+   if(nresult >=1)
+     fprintf(ficresvbl," Result# ");
+   for(i=1; i<=nlstate;i++)
+       fprintf(ficresvbl," %1d-%1d",i,i);
+   fprintf(ficresvbl,"\n");
+   xp=vector(1,npar);
+   dnewmpar=matrix(1,nlstate,1,npar);
+   doldm=matrix(1,nlstate,1,nlstate);
+   hstepm=1*YEARM; /* Every year of age */
+   hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */
+   agelim = AGEINF;
+   for (age=fage; age>=bage; age --){ /* If stepm=6 months */
+     nhstepm=(int) rint((age-agelim)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */
+     if (stepm >= YEARM) hstepm=1;
+     nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
+     gradg=matrix(1,npar,1,nlstate);
+     mgp=matrix(1,npar,1,nlstate);
+     mgm=matrix(1,npar,1,nlstate);
+     gp=vector(1,nlstate);
+     gm=vector(1,nlstate);
+     for(theta=1; theta <=npar; theta++){
+       for(i=1; i<=npar; i++){ /* Computes gradient */
+         xp[i] = x[i] + (i==theta ?delti[theta]:0);
+       }
+       if(mobilavproj > 0 )
+         bprevalim(bprlim, mobaverage,nlstate,xp,age,ftolpl,ncvyearp,ij,nres);
+       else
+         bprevalim(bprlim, mobaverage,nlstate,xp,age,ftolpl,ncvyearp,ij,nres);
+       for(i=1;i<=nlstate;i++){
+         gp[i] = bprlim[i][i];
+         mgp[theta][i] = bprlim[i][i];
+       }
+      for(i=1; i<=npar; i++) /* Computes gradient */
+         xp[i] = x[i] - (i==theta ?delti[theta]:0);
+        if(mobilavproj > 0 )
+         bprevalim(bprlim, mobaverage,nlstate,xp,age,ftolpl,ncvyearp,ij,nres);
+        else
+         bprevalim(bprlim, mobaverage,nlstate,xp,age,ftolpl,ncvyearp,ij,nres);
+       for(i=1;i<=nlstate;i++){
+         gm[i] = bprlim[i][i];
+         mgm[theta][i] = bprlim[i][i];
+       }
+       for(i=1;i<=nlstate;i++)
+         gradg[theta][i]= (gp[i]-gm[i])/2./delti[theta];
+       /* gradg[theta][2]= -gradg[theta][1]; */ /* For testing if nlstate=2 */
+     } /* End theta */
+     trgradg =matrix(1,nlstate,1,npar);
+     for(j=1; j<=nlstate;j++)
+       for(theta=1; theta <=npar; theta++)
+         trgradg[j][theta]=gradg[theta][j];
+     /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ){ */
+     /*   printf("\nmgm mgp %d ",(int)age); */
+     /*   for(j=1; j<=nlstate;j++){ */
+     /*  printf(" %d ",j); */
+     /*  for(theta=1; theta <=npar; theta++) */
+     /*    printf(" %d %lf %lf",theta,mgm[theta][j],mgp[theta][j]); */
+     /*  printf("\n "); */
+     /*   } */
+     /* } */
+     /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ){ */
+     /*   printf("\n gradg %d ",(int)age); */
+     /*   for(j=1; j<=nlstate;j++){ */
+     /*  printf("%d ",j); */
+     /*  for(theta=1; theta <=npar; theta++) */
+     /*    printf("%d %lf ",theta,gradg[theta][j]); */
+     /*  printf("\n "); */
+     /*   } */
+     /* } */
+     for(i=1;i<=nlstate;i++)
+       varbpl[i][(int)age] =0.;
+     if((int)age==79 ||(int)age== 80  ||(int)age== 81){
+     matprod2(dnewmpar,trgradg,1,nlstate,1,npar,1,npar,matcov);
+     matprod2(doldm,dnewmpar,1,nlstate,1,npar,1,nlstate,gradg);
+     }else{
+     matprod2(dnewmpar,trgradg,1,nlstate,1,npar,1,npar,matcov);
+     matprod2(doldm,dnewmpar,1,nlstate,1,npar,1,nlstate,gradg);
+     }
+     for(i=1;i<=nlstate;i++)
+       varbpl[i][(int)age] = doldm[i][i]; /* Covariances are useless */
+     fprintf(ficresvbl,"%.0f ",age );
+     if(nresult >=1)
+       fprintf(ficresvbl,"%d ",nres );
+     for(i=1; i<=nlstate;i++)
+       fprintf(ficresvbl," %.5f (%.5f)",bprlim[i][i],sqrt(varbpl[i][(int)age]));
+     fprintf(ficresvbl,"\n");
+     free_vector(gp,1,nlstate);
+     free_vector(gm,1,nlstate);
+     free_matrix(mgm,1,npar,1,nlstate);
+     free_matrix(mgp,1,npar,1,nlstate);
+     free_matrix(gradg,1,npar,1,nlstate);
+     free_matrix(trgradg,1,nlstate,1,npar);
+   } /* End age */
+   free_vector(xp,1,npar);
+   free_matrix(doldm,1,nlstate,1,npar);
+   free_matrix(dnewmpar,1,nlstate,1,nlstate);
  }
- Line 6060  void varprob(char optionfilefiname[], do
+ Line 7101  void varprob(char optionfilefiname[], do
     int k2, l2, j1,  z1;
     int k=0, l;
     int first=1, first1, first2;
+    int nres=0; /* New */
     double cv12, mu1, mu2, lc1, lc2, v12, v21, v11, v22,v1,v2, c12, tnalp;
     double **dnewm,**doldm;
     double *xp;
- Line 6129  void varprob(char optionfilefiname[], do
+ Line 7171  void varprob(char optionfilefiname[], do
     fprintf(fichtm,"\n<li><h4> Computing and drawing one step probabilities with their confidence intervals</h4></li>\n");
     fprintf(fichtm,"\n");
-    fprintf(fichtm,"\n<li><h4> <a href=\"%s\">Matrix of variance-covariance of one-step probabilities (drawings)</a></h4> this page is important in order to visualize confidence intervals and especially correlation between disability and recovery, or more generally, way in and way back.</li>\n",optionfilehtmcov);
+    fprintf(fichtm,"\n<li><h4> <a href=\"%s\">Matrix of variance-covariance of one-step probabilities (drawings)</a></h4> this page is important in order to visualize confidence intervals and especially correlation between disability and recovery, or more generally, way in and way back. File %s</li>\n",optionfilehtmcov,optionfilehtmcov);
     fprintf(fichtmcov,"Current page is file <a href=\"%s\">%s</a><br>\n\n<h4>Matrix of variance-covariance of pairs of step probabilities</h4>\n",optionfilehtmcov, optionfilehtmcov);
     fprintf(fichtmcov,"\nEllipsoids of confidence centered on point (p<inf>ij</inf>, p<inf>kl</inf>) are estimated \
  and drawn. It helps understanding how is the covariance between two incidences.\
- Line 6147  To be simple, these graphs help to under
+ Line 7189  To be simple, these graphs help to under
     tj = (int) pow(2,cptcoveff);
     if (cptcovn<1) {tj=1;ncodemax[1]=1;}
     j1=0;
-    for(j1=1; j1<=tj;j1++){  /* For each valid combination of covariates or only once*/
+    for(nres=1;nres <=nresult; nres++){ /* For each resultline */
+    for(j1=1; j1<=tj;j1++){ /* For any combination of dummy covariates, fixed and varying */
+      printf("Varprob  TKresult[nres]=%d j1=%d, nres=%d, cptcovn=%d, cptcoveff=%d tj=%d cptcovs=%d\n",  TKresult[nres], j1, nres, cptcovn, cptcoveff, tj, cptcovs);
+      if(tj != 1 && TKresult[nres]!= j1)
+        continue;
+    /* for(j1=1; j1<=tj;j1++){  /\* For each valid combination of covariates or only once*\/ */
+      /* for(nres=1;nres <=1; nres++){ /\* For each resultline *\/ */
+      /* /\* for(nres=1;nres <=nresult; nres++){ /\\* For each resultline *\\/ *\/ */
       if  (cptcovn>0) {
         fprintf(ficresprob, "\n#********** Variable ");
-        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprob, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
-        fprintf(ficresprob, "**********\n#\n");
         fprintf(ficresprobcov, "\n#********** Variable ");
-        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcov, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
+        fprintf(ficgp, "\n#********** Variable ");
+        fprintf(fichtmcov, "\n<hr  size=\"2\" color=\"#EC5E5E\">********** Variable ");
+        fprintf(ficresprobcor, "\n#********** Variable ");
+        /* Including quantitative variables of the resultline to be done */
+        for (z1=1; z1<=cptcovs; z1++){ /* Loop on each variable of this resultline  */
+          printf("Varprob modelresult[%d][%d]=%d model=%s \n",nres, z1, modelresult[nres][z1], model);
+          fprintf(ficlog,"Varprob modelresult[%d][%d]=%d model=%s \n",nres, z1, modelresult[nres][z1], model);
+          /* fprintf(ficlog,"Varprob modelresult[%d][%d]=%d model=%s resultline[%d]=%s \n",nres, z1, modelresult[nres][z1], model, nres, resultline[nres]); */
+          if(Dummy[modelresult[nres][z1]]==0){/* Dummy variable of the variable in position modelresult in the model corresponding to z1 in resultline  */
+            if(Fixed[modelresult[nres][z1]]==0){ /* Fixed referenced to model equation */
+              fprintf(ficresprob,"V%d=%d ",Tvresult[nres][z1],Tresult[nres][z1]); /* Output of each value for the combination TKresult[nres], ordere by the covariate values in the resultline  */
+              fprintf(ficresprobcov,"V%d=%d ",Tvresult[nres][z1],Tresult[nres][z1]); /* Output of each value for the combination TKresult[nres], ordere by the covariate values in the resultline  */
+              fprintf(ficgp,"V%d=%d ",Tvresult[nres][z1],Tresult[nres][z1]); /* Output of each value for the combination TKresult[nres], ordere by the covariate values in the resultline  */
+              fprintf(fichtmcov,"V%d=%d ",Tvresult[nres][z1],Tresult[nres][z1]); /* Output of each value for the combination TKresult[nres], ordere by the covariate values in the resultline  */
+              fprintf(ficresprobcor,"V%d=%d ",Tvresult[nres][z1],Tresult[nres][z1]); /* Output of each value for the combination TKresult[nres], ordere by the covariate values in the resultline  */
+              fprintf(ficresprob,"fixed ");
+              fprintf(ficresprobcov,"fixed ");
+              fprintf(ficgp,"fixed ");
+              fprintf(fichtmcov,"fixed ");
+              fprintf(ficresprobcor,"fixed ");
+            }else{
+              fprintf(ficresprob,"varyi ");
+              fprintf(ficresprobcov,"varyi ");
+              fprintf(ficgp,"varyi ");
+              fprintf(fichtmcov,"varyi ");
+              fprintf(ficresprobcor,"varyi ");
+            }
+          }else if(Dummy[modelresult[nres][z1]]==1){ /* Quanti variable */
+            /* For each selected (single) quantitative value */
+            fprintf(ficresprob," V%d=%lg ",Tvqresult[nres][z1],Tqresult[nres][z1]);
+            if(Fixed[modelresult[nres][z1]]==0){ /* Fixed */
+              fprintf(ficresprob,"fixed ");
+              fprintf(ficresprobcov,"fixed ");
+              fprintf(ficgp,"fixed ");
+              fprintf(fichtmcov,"fixed ");
+              fprintf(ficresprobcor,"fixed ");
+            }else{
+              fprintf(ficresprob,"varyi ");
+              fprintf(ficresprobcov,"varyi ");
+              fprintf(ficgp,"varyi ");
+              fprintf(fichtmcov,"varyi ");
+              fprintf(ficresprobcor,"varyi ");
+            }
+          }else{
+            printf("Error in varprob() Dummy[modelresult[%d][%d]]=%d, modelresult[%d][%d]=V%d cptcovs=%d, cptcoveff=%d \n", nres, z1, Dummy[modelresult[nres][z1]],nres,z1,modelresult[nres][z1],cptcovs, cptcoveff);  /* end if dummy  or quanti */
+            fprintf(ficlog,"Error in varprob() Dummy[modelresult[%d][%d]]=%d, modelresult[%d][%d]=V%d cptcovs=%d, cptcoveff=%d \n", nres, z1, Dummy[modelresult[nres][z1]],nres,z1,modelresult[nres][z1],cptcovs, cptcoveff);  /* end if dummy  or quanti */
+            exit(1);
+          }
+        } /* End loop on variable of this resultline */
+        /* for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprob, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,TnsdVar[Tvaraff[z1]])]); */
+        fprintf(ficresprob, "**********\n#\n");
         fprintf(ficresprobcov, "**********\n#\n");
-        fprintf(ficgp, "\n#********** Variable ");
-        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficgp, " V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
         fprintf(ficgp, "**********\n#\n");
-        fprintf(fichtmcov, "\n<hr  size=\"2\" color=\"#EC5E5E\">********** Variable ");
-        for (z1=1; z1<=cptcoveff; z1++) fprintf(fichtm, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
         fprintf(fichtmcov, "**********\n<hr size=\"2\" color=\"#EC5E5E\">");
-        fprintf(ficresprobcor, "\n#********** Variable ");
-        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcor, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
         fprintf(ficresprobcor, "**********\n#");
         if(invalidvarcomb[j1]){
           fprintf(ficgp,"\n#Combination (%d) ignored because no cases \n",j1);
- Line 6178  To be simple, these graphs help to under
+ Line 7268  To be simple, these graphs help to under
       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 ++){
+      for (age=bage; age<=fage; age ++){ /* Fo each age we feed the model equation with covariates, using precov as in hpxij() ? */
         cov[2]=age;
         if(nagesqr==1)
           cov[3]= age*age;
-        for (k=1; k<=cptcovn;k++) {
+        /* New code end of combination but for each resultline */
-          cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(j1,k)];
+        for(k1=1;k1<=cptcovt;k1++){ /* loop on model equation (including products) */
-          /*cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(j1,Tvar[k])];*//* j1 1 2 3 4
+          if(Typevar[k1]==1){ /* A product with age */
-                                                                     * 1  1 1 1 1
+            cov[2+nagesqr+k1]=precov[nres][k1]*cov[2];
-                                                                     * 2  2 1 1 1
+          }else{
-                                                                     * 3  1 2 1 1
+            cov[2+nagesqr+k1]=precov[nres][k1];
-                                                                     */
+          }
-          /* nbcode[1][1]=0 nbcode[1][2]=1;*/
+        }/* End of loop on model equation */
-        }
+ /* Old code */
-        /* for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
+        /* /\* for (k=1; k<=cptcovn;k++) { *\/ */
-        for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
+        /* /\*    cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(j1,k)]; *\/ */
-        for (k=1; k<=cptcovprod;k++)
+        /* for (k=1; k<=nsd;k++) { /\* For single dummy covariates only *\/ */
-          cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)]*nbcode[Tvard[k][2]][codtabm(ij,k)];
+        /*        /\* Here comes the value of the covariate 'j1' after renumbering k with single dummy covariates *\/ */
+        /*        cov[2+nagesqr+TvarsDind[k]]=nbcode[TvarsD[k]][codtabm(j1,TnsdVar[TvarsD[k]])]; */
+        /*        /\*cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(j1,Tvar[k])];*\//\* j1 1 2 3 4 */
+        /*                                                                   * 1  1 1 1 1 */
+        /*                                                                   * 2  2 1 1 1 */
+        /*                                                                   * 3  1 2 1 1 */
+        /*                                                                   *\/ */
+        /*        /\* nbcode[1][1]=0 nbcode[1][2]=1;*\/ */
+        /* } */
+        /* /\* V2+V1+V4+V3*age Tvar[4]=3 ; V1+V2*age Tvar[2]=2; V1+V1*age Tvar[2]=1, Tage[1]=2 *\/ */
+        /* /\* ) p nbcode[Tvar[Tage[k]]][(1 & (ij-1) >> (k-1))+1] *\/ */
+        /* /\*for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; *\/ */
+        /* for (k=1; k<=cptcovage;k++){  /\* For product with age *\/ */
+        /*        if(Dummy[Tage[k]]==2){ /\* dummy with age *\/ */
+        /*          cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(j1,TnsdVar[Tvar[Tage[k]]])]*cov[2]; */
+        /*          /\* cov[++k1]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2]; *\/ */
+        /*        } else if(Dummy[Tage[k]]==3){ /\* quantitative with age *\/ */
+        /*          printf("Internal IMaCh error, don't know which value for quantitative covariate with age, Tage[k]%d, k=%d, Tvar[Tage[k]]=V%d, age=%d\n",Tage[k],k ,Tvar[Tage[k]], (int)cov[2]); */
+        /*          /\* cov[2+nagesqr+Tage[k]]=meanq[k]/idq[k]*cov[2];/\\* Using the mean of quantitative variable Tvar[Tage[k]] /\\* Tqresult[nres][k]; *\\/ *\/ */
+        /*          /\* exit(1); *\/ */
+        /*          /\* cov[++k1]=Tqresult[nres][k];  *\/ */
+        /*        } */
+        /*        /\* cov[2+Tage[k]+nagesqr]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2]; *\/ */
+        /* } */
+        /* for (k=1; k<=cptcovprod;k++){/\* For product without age *\/ */
+        /*        if(Dummy[Tvard[k][1]]==0){ */
+        /*          if(Dummy[Tvard[k][2]]==0){ */
+        /*            cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(j1,TnsdVar[Tvard[k][1]])] * nbcode[Tvard[k][2]][codtabm(j1,TnsdVar[Tvard[k][2]])]; */
+        /*            /\* cov[++k1]=nbcode[Tvard[k][1]][codtabm(ij,k)] * nbcode[Tvard[k][2]][codtabm(ij,k)]; *\/ */
+        /*          }else{ /\* Should we use the mean of the quantitative variables? *\/ */
+        /*            cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(j1,TnsdVar[Tvard[k][1]])] * Tqresult[nres][resultmodel[nres][k]]; */
+        /*            /\* cov[++k1]=nbcode[Tvard[k][1]][codtabm(ij,k)] * Tqresult[nres][k]; *\/ */
+        /*          } */
+        /*        }else{ */
+        /*          if(Dummy[Tvard[k][2]]==0){ */
+        /*            cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][2]][codtabm(j1,TnsdVar[Tvard[k][2]])] * Tqinvresult[nres][TnsdVar[Tvard[k][1]]]; */
+        /*            /\* cov[++k1]=nbcode[Tvard[k][2]][codtabm(ij,k)] * Tqinvresult[nres][Tvard[k][1]]; *\/ */
+        /*          }else{ */
+        /*            cov[2+nagesqr+Tprod[k]]=Tqinvresult[nres][TnsdVar[Tvard[k][1]]]*  Tqinvresult[nres][TnsdVar[Tvard[k][2]]]; */
+        /*            /\* cov[++k1]=Tqinvresult[nres][Tvard[k][1]]*  Tqinvresult[nres][Tvard[k][2]]; *\/ */
+        /*          } */
+        /*        } */
+        /*        /\* cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)]*nbcode[Tvard[k][2]][codtabm(ij,k)]; *\/ */
+        /* } */
+ /* For each age and combination of dummy covariates we slightly move the parameters of delti in order to get the gradient*/
         for(theta=1; theta <=npar; theta++){
           for(i=1; i<=npar; i++)
             xp[i] = x[i] + (i==theta ?delti[theta]:(double)0);
- Line 6326  To be simple, these graphs help to under
+ Line 7458  To be simple, these graphs help to under
                   }
                   /* Eigen vectors */
-                  v11=(1./sqrt(1+(v1-lc1)*(v1-lc1)/cv12/cv12));
+                  if(1+(v1-lc1)*(v1-lc1)/cv12/cv12 <1.e-5){
+                    printf(" Error sqrt of a negative number: %lf\n",1+(v1-lc1)*(v1-lc1)/cv12/cv12);
+                    fprintf(ficlog," Error sqrt of a negative number: %lf\n",1+(v1-lc1)*(v1-lc1)/cv12/cv12);
+                    v11=(1./sqrt(fabs(1+(v1-lc1)*(v1-lc1)/cv12/cv12)));
+                  }else
+                    v11=(1./sqrt(1+(v1-lc1)*(v1-lc1)/cv12/cv12));
                   /*v21=sqrt(1.-v11*v11); *//* error */
                   v21=(lc1-v1)/cv12*v11;
                   v12=-v21;
- Line 6346  To be simple, these graphs help to under
+ Line 7483  To be simple, these graphs help to under
                     fprintf(ficgp,"\nset parametric;unset label");
                     fprintf(ficgp,"\nset log y;set log x; set xlabel \"p%1d%1d (year-1)\";set ylabel \"p%1d%1d (year-1)\"",k1,l1,k2,l2);
                     fprintf(ficgp,"\nset ter svg size 640, 480");
-                    fprintf(fichtmcov,"\n<br>Ellipsoids of confidence cov(p%1d%1d,p%1d%1d) expressed in year<sup>-1</sup>\
+                    fprintf(fichtmcov,"\n<p><br>Ellipsoids of confidence cov(p%1d%1d,p%1d%1d) expressed in year<sup>-1</sup>\
   :<a href=\"%s_%d%1d%1d-%1d%1d.svg\">                                                                                                                                           \
  %s_%d%1d%1d-%1d%1d.svg</A>, ",k1,l1,k2,l2,\
                             subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2,      \
- Line 6357  To be simple, these graphs help to under
+ Line 7494  To be simple, these graphs help to under
                     fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);
                     fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);
                     fprintf(ficgp,"\nplot [-pi:pi] %11.3e+ %.3f*(%11.3e*%11.3e*cos(t)+%11.3e*%11.3e*sin(t)), %11.3e +%.3f*(%11.3e*%11.3e*cos(t)+%11.3e*%11.3e*sin(t)) not",      \
-                            mu1,std,v11,sqrt(lc1),v12,sqrt(lc2),                                                                         \
+                            mu1,std,v11,sqrt(fabs(lc1)),v12,sqrt(fabs(lc2)), \
-                            mu2,std,v21,sqrt(lc1),v22,sqrt(lc2));
+                            mu2,std,v21,sqrt(fabs(lc1)),v22,sqrt(fabs(lc2))); /* For gnuplot only */
                   }else{
                     first=0;
                     fprintf(fichtmcov," %d (%.3f),",(int) age, c12);
                     fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);
                     fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);
                     fprintf(ficgp,"\nreplot %11.3e+ %.3f*(%11.3e*%11.3e*cos(t)+%11.3e*%11.3e*sin(t)), %11.3e +%.3f*(%11.3e*%11.3e*cos(t)+%11.3e*%11.3e*sin(t)) not", \
-                            mu1,std,v11,sqrt(lc1),v12,sqrt(lc2),                                 \
+                            mu1,std,v11,sqrt(lc1),v12,sqrt(fabs(lc2)),   \
-                            mu2,std,v21,sqrt(lc1),v22,sqrt(lc2));
+                            mu2,std,v21,sqrt(lc1),v22,sqrt(fabs(lc2)));
                   }/* if first */
                 } /* age mod 5 */
               } /* end loop age */
- Line 6377  To be simple, these graphs help to under
+ Line 7514  To be simple, these graphs help to under
         } /*l1 */
       }/* k1 */
     }  /* loop on combination of covariates j1 */
+    } /* loop on nres */
     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));
- Line 6394  To be simple, these graphs help to under
+ Line 7532  To be simple, these graphs help to under
  void printinghtml(char fileresu[], char title[], char datafile[], int firstpass, \
                    int lastpass, int stepm, int weightopt, char model[],\
                    int imx,int jmin, int jmax, double jmeanint,char rfileres[],\
-                   int popforecast, int mobilav, int prevfcast, int mobilavproj, int backcast, int estepm , \
+                   int popforecast, int mobilav, int prevfcast, int mobilavproj, int prevbcast, int estepm , \
-                   double jprev1, double mprev1,double anprev1, double dateprev1, \
+                   double jprev1, double mprev1,double anprev1, double dateprev1, double dateprojd, double dateback1, \
-                   double jprev2, double mprev2,double anprev2, double dateprev2){
+                   double jprev2, double mprev2,double anprev2, double dateprev2, double dateprojf, double dateback2){
    int jj1, k1, i1, cpt, k4, nres;
+   /* In fact some results are already printed in fichtm which is open */
     fprintf(fichtm,"<ul><li><a href='#firstorder'>Result files (first order: no variance)</a>\n \
     <li><a href='#secondorder'>Result files (second order (variance)</a>\n \
  </ul>");
-    fprintf(fichtm,"<ul><li> model=1+age+%s\n \
+ /*    fprintf(fichtm,"<ul><li> model=1+age+%s\n \ */
- </ul>", model);
+ /* </ul>", model); */
     fprintf(fichtm,"<ul><li><h4><a name='firstorder'>Result files (first order: no variance)</a></h4>\n");
     fprintf(fichtm,"<li>- Observed frequency between two states (during the period defined between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf): <a href=\"%s\">%s</a> (html file)<br/>\n",
             jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,subdirfext3(optionfilefiname,"PHTMFR_",".htm"),subdirfext3(optionfilefiname,"PHTMFR_",".htm"));
-    fprintf(fichtm,"<li> - Observed prevalence in each state (during the period defined between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf): <a href=\"%s\">%s</a> (html file) ",
+    fprintf(fichtm,"<li> - Observed prevalence (cross-sectional prevalence) in each state (during the period defined between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf): <a href=\"%s\">%s</a> (html file) ",
             jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,subdirfext3(optionfilefiname,"PHTM_",".htm"),subdirfext3(optionfilefiname,"PHTM_",".htm"));
     fprintf(fichtm,",  <a href=\"%s\">%s</a> (text file) <br>\n",subdirf2(fileresu,"P_"),subdirf2(fileresu,"P_"));
     fprintf(fichtm,"\
- Line 6417  void printinghtml(char fileresu[], char
+ Line 7555  void printinghtml(char fileresu[], char
   - Estimated back transition probabilities over %d (stepm) months: <a href=\"%s\">%s</a><br>\n ",
             stepm,subdirf2(fileresu,"PIJB_"),subdirf2(fileresu,"PIJB_"));
     fprintf(fichtm,"\
-  - Period (stable) prevalence in each health state: <a href=\"%s\">%s</a> <br>\n",
+  - Period (forward) prevalence in each health state: <a href=\"%s\">%s</a> <br>\n",
             subdirf2(fileresu,"PL_"),subdirf2(fileresu,"PL_"));
     fprintf(fichtm,"\
-  - Period (stable) back prevalence in each health state: <a href=\"%s\">%s</a> <br>\n",
+  - Backward prevalence in each health state: <a href=\"%s\">%s</a> <br>\n",
             subdirf2(fileresu,"PLB_"),subdirf2(fileresu,"PLB_"));
     fprintf(fichtm,"\
   - (a) Life expectancies by health status at initial age, e<sub>i.</sub> (b) health expectancies by health status at initial age, e<sub>ij</sub> . If one or more covariates are included, specific tables for each value of the covariate are output in sequences within the same file (estepm=%2d months): \
- Line 6432  void printinghtml(char fileresu[], char
+ Line 7570  void printinghtml(char fileresu[], char
     <a href=\"%s\">%s</a> <br>\n</li>", subdirf2(fileresu,"F_"),subdirf2(fileresu,"F_"));
     }
-    fprintf(fichtm," \n<ul><li><b>Graphs</b></li><p>");
     m=pow(2,cptcoveff);
     if (cptcovn < 1) {m=1;ncodemax[1]=1;}
+    fprintf(fichtm," \n<ul><li><b>Graphs (first order)</b></li><p>");
     jj1=0;
-    for(nres=1; nres <= nresult; nres++) /* For each resultline */
+    fprintf(fichtm," \n<ul>");
-    for(k1=1; k1<=m;k1++){ /* For each combination of covariate */
+    for(nres=1; nres <= nresult; nres++){ /* For each resultline */
-      if(m != 1 && TKresult[nres]!= k1)
+      /* k1=nres; */
-        continue;
+      k1= TKresult[nres];
+    /* for(k1=1; k1<=m;k1++){ /\* For each combination of covariate *\/ */
+    /*   if(m != 1 && TKresult[nres]!= k1) */
+    /*     continue; */
+      jj1++;
+      if (cptcovn > 0) {
+        fprintf(fichtm,"\n<li><a  size=\"1\" color=\"#EC5E5E\" href=\"#rescov");
+        for (cpt=1; cpt<=cptcovs;cpt++){ /**< cptcovs number of SIMPLE covariates in the model V2+V1 =2 (dummy or quantit or time varying) */
+          fprintf(fichtm,"_V%d=%lg_",Tvresult[nres][cpt],TinvDoQresult[nres][Tvresult[nres][cpt]]);
+        }
+        /* for (cpt=1; cpt<=cptcoveff;cpt++){  */
+        /*        fprintf(fichtm,"_V%d=%d_",Tvresult[nres][cpt],(int)Tresult[nres][cpt]); */
+        /* } */
+        /* for (k4=1; k4<= nsq; k4++){ /\* For each selected (single) quantitative value *\/ */
+        /*        fprintf(fichtm,"_V%d=%f_",Tvqresult[nres][k4],Tqresult[nres][k4]); */
+        /* } */
+        fprintf(fichtm,"\">");
+        /* if(nqfveff+nqtveff 0) */ /* Test to be done */
+        fprintf(fichtm,"************ Results for covariates");
+        for (cpt=1; cpt<=cptcovs;cpt++){
+          fprintf(fichtm," V%d=%lg ",Tvresult[nres][cpt],TinvDoQresult[nres][Tvresult[nres][cpt]]);
+        }
+        /* fprintf(fichtm,"************ Results for covariates"); */
+        /* for (cpt=1; cpt<=cptcoveff;cpt++){  */
+        /*        fprintf(fichtm," V%d=%d ",Tvresult[nres][cpt],(int)Tresult[nres][cpt]); */
+        /* } */
+        /* for (k4=1; k4<= nsq; k4++){ /\* For each selected (single) quantitative value *\/ */
+        /*        fprintf(fichtm," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]); */
+        /* } */
+        if(invalidvarcomb[k1]){
+          fprintf(fichtm," Warning Combination (%d) ignored because no cases ",k1);
+          continue;
+        }
+        fprintf(fichtm,"</a></li>");
+      } /* cptcovn >0 */
+    }
+    fprintf(fichtm," \n</ul>");
+    jj1=0;
+    for(nres=1; nres <= nresult; nres++){ /* For each resultline */
+      /* k1=nres; */
+      k1= TKresult[nres];
+    /* for(k1=1; k1<=m;k1++){ /\* For each combination of covariate *\/ */
+    /*   if(m != 1 && TKresult[nres]!= k1) */
+    /*     continue; */
       /* for(i1=1; i1<=ncodemax[k1];i1++){ */
       jj1++;
       if (cptcovn > 0) {
+        fprintf(fichtm,"\n<p><a name=\"rescov");
+        for (cpt=1; cpt<=cptcovs;cpt++){
+          fprintf(fichtm,"_V%d=%lg_",Tvresult[nres][cpt],TinvDoQresult[nres][Tvresult[nres][cpt]]);
+        }
+        /* for (k4=1; k4<= nsq; k4++){ /\* For each selected (single) quantitative value *\/ */
+        /*        fprintf(fichtm,"_V%d=%f_",Tvqresult[nres][k4],Tqresult[nres][k4]); */
+        /* } */
+        fprintf(fichtm,"\"</a>");
         fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");
-        for (cpt=1; cpt<=cptcoveff;cpt++){
+        for (cpt=1; cpt<=cptcovs;cpt++){
-          fprintf(fichtm," V%d=%d ",Tvresult[nres][cpt],(int)Tresult[nres][cpt]);
+          fprintf(fichtm," V%d=%lg ",Tvresult[nres][cpt],TinvDoQresult[nres][Tvresult[nres][cpt]]);
-          printf(" V%d=%d ",Tvresult[nres][cpt],Tresult[nres][cpt]);fflush(stdout);
+          printf(" V%d=%lg ",Tvresult[nres][cpt],TinvDoQresult[nres][Tvresult[nres][cpt]]);
           /* fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]); */
           /* printf(" V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]);fflush(stdout); */
         }
-        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
-         fprintf(fichtm," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
-         printf(" V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);fflush(stdout);
-       }
         /* if(nqfveff+nqtveff 0) */ /* Test to be done */
-        fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");
+        fprintf(fichtm," (model=%s) ************\n<hr size=\"2\" color=\"#EC5E5E\">",model);
         if(invalidvarcomb[k1]){
           fprintf(fichtm,"\n<h3>Combination (%d) ignored because no cases </h3>\n",k1);
           printf("\nCombination (%d) ignored because no cases \n",k1);
- Line 6481  divided by h: <sub>h</sub>P<sub>ij</sub>
+ Line 7670  divided by h: <sub>h</sub>P<sub>ij</sub>
  <img src=\"%s_%d-3-%d.svg\">",stepm,subdirf2(optionfilefiname,"PE_"),k1,nres,subdirf2(optionfilefiname,"PE_"),k1,nres,subdirf2(optionfilefiname,"PE_"),k1,nres);
       /* Survival functions (period) in state j */
       for(cpt=1; cpt<=nlstate;cpt++){
-        fprintf(fichtm,"<br>\n- Survival functions in state %d. Or probability to survive in state %d being in state (1 to %d) at different ages. <a href=\"%s_%d-%d-%d.svg\">%s_%d-%d-%d.svg</a><br> \
+        fprintf(fichtm,"<br>\n- Survival functions in state %d. And probability to be observed in state %d being in state (1 to %d) at different ages. <a href=\"%s_%d-%d-%d.svg\">%s_%d-%d-%d.svg</a><br>", cpt, cpt, nlstate, subdirf2(optionfilefiname,"LIJ_"),cpt,k1,nres,subdirf2(optionfilefiname,"LIJ_"),cpt,k1,nres);
- <img src=\"%s_%d-%d-%d.svg\">", cpt, cpt, nlstate, subdirf2(optionfilefiname,"LIJ_"),cpt,k1,nres,subdirf2(optionfilefiname,"LIJ_"),cpt,k1,nres,subdirf2(optionfilefiname,"LIJ_"),cpt,k1,nres);
+        fprintf(fichtm," (data from text file  <a href=\"%s.txt\">%s.txt</a>)\n<br>",subdirf2(optionfilefiname,"PIJ_"),subdirf2(optionfilefiname,"PIJ_"));
+        fprintf(fichtm,"<img src=\"%s_%d-%d-%d.svg\">",subdirf2(optionfilefiname,"LIJ_"),cpt,k1,nres);
       }
       /* State specific survival functions (period) */
       for(cpt=1; cpt<=nlstate;cpt++){
-        fprintf(fichtm,"<br>\n- Survival functions from state %d in each live state and total.\
+        fprintf(fichtm,"<br>\n- Survival functions in state %d and in any other live state (total).\
-  Or probability to survive in various states (1 to %d) being in state %d at different ages.     \
+  And probability to be observed in various states (up to %d) being in state %d at different ages.       \
-  <a href=\"%s_%d-%d-%d.svg\">%s_%d%d-%d.svg</a><br> <img src=\"%s_%d-%d-%d.svg\">", cpt, nlstate, cpt, subdirf2(optionfilefiname,"LIJT_"),cpt,k1,nres,subdirf2(optionfilefiname,"LIJT_"),cpt,k1,nres,subdirf2(optionfilefiname,"LIJT_"),cpt,k1,nres);
+  <a href=\"%s_%d-%d-%d.svg\">%s_%d-%d-%d.svg</a><br> ", cpt, nlstate, cpt, subdirf2(optionfilefiname,"LIJT_"),cpt,k1,nres,subdirf2(optionfilefiname,"LIJT_"),cpt,k1,nres);
+        fprintf(fichtm," (data from text file  <a href=\"%s.txt\">%s.txt</a>)\n<br>",subdirf2(optionfilefiname,"PIJ_"),subdirf2(optionfilefiname,"PIJ_"));
+        fprintf(fichtm,"<img src=\"%s_%d-%d-%d.svg\">",subdirf2(optionfilefiname,"LIJT_"),cpt,k1,nres);
       }
-      /* Period (stable) prevalence in each health state */
+      /* Period (forward stable) prevalence in each health state */
       for(cpt=1; cpt<=nlstate;cpt++){
-        fprintf(fichtm,"<br>\n- Convergence to period (stable) prevalence in state %d. Or probability to be in state %d some years earlier, knowing that we will be in state (1 to %d) at different ages. <a href=\"%s_%d-%d-%d.svg\">%s_%d-%d-%d.svg</a><br> \
+        fprintf(fichtm,"<br>\n- Convergence to period (stable) prevalence in state %d. Or probability for a person being in state (1 to %d) at different ages, to be in state %d some years after. <a href=\"%s_%d-%d-%d.svg\">%s_%d-%d-%d.svg</a><br>", cpt, nlstate, cpt, subdirf2(optionfilefiname,"P_"),cpt,k1,nres,subdirf2(optionfilefiname,"P_"),cpt,k1,nres);
- <img src=\"%s_%d-%d-%d.svg\">", cpt, cpt, nlstate, subdirf2(optionfilefiname,"P_"),cpt,k1,nres,subdirf2(optionfilefiname,"P_"),cpt,k1,nres,subdirf2(optionfilefiname,"P_"),cpt,k1,nres);
+        fprintf(fichtm," (data from text file  <a href=\"%s.txt\">%s.txt</a>)\n<br>",subdirf2(optionfilefiname,"P_"),subdirf2(optionfilefiname,"P_"));
+       fprintf(fichtm,"<img src=\"%s_%d-%d-%d.svg\">" ,subdirf2(optionfilefiname,"P_"),cpt,k1,nres);
       }
-      if(backcast==1){
+      if(prevbcast==1){
-        /* Period (stable) back prevalence in each health state */
+        /* Backward prevalence in each health state */
         for(cpt=1; cpt<=nlstate;cpt++){
-          fprintf(fichtm,"<br>\n- Convergence to mixed (stable) back prevalence in state %d. Or probability to be in state %d at a younger age, knowing that we will be in state (1 to %d) at different older ages. <a href=\"%s_%d-%d-%d.svg\">%s_%d-%d-%d.svg</a><br> \
+          fprintf(fichtm,"<br>\n- Convergence to mixed (stable) back prevalence in state %d. Or probability for a person to be in state %d at a younger age, knowing that she/he was in state (1 to %d) at different older ages. <a href=\"%s_%d-%d-%d.svg\">%s_%d-%d-%d.svg</a><br> \
  <img src=\"%s_%d-%d-%d.svg\">", cpt, cpt, nlstate, subdirf2(optionfilefiname,"PB_"),cpt,k1,nres,subdirf2(optionfilefiname,"PB_"),cpt,k1,nres,subdirf2(optionfilefiname,"PB_"),cpt,k1,nres);
         }
       }
       if(prevfcast==1){
-        /* Projection of prevalence up to period (stable) prevalence in each health state */
+        /* Projection of prevalence up to period (forward stable) prevalence in each health state */
+        for(cpt=1; cpt<=nlstate;cpt++){
+          fprintf(fichtm,"<br>\n- Projection of cross-sectional prevalence (estimated with cases observed from %.1f to %.1f and mobil_average=%d), from year %.1f up to year %.1f tending to period (stable) forward prevalence in state %d. Or probability to be in state %d being in an observed weighted state (from 1 to %d). <a href=\"%s_%d-%d-%d.svg\">%s_%d-%d-%d.svg</a>", dateprev1, dateprev2, mobilavproj, dateprojd, dateprojf, cpt, cpt, nlstate, subdirf2(optionfilefiname,"PROJ_"),cpt,k1,nres,subdirf2(optionfilefiname,"PROJ_"),cpt,k1,nres);
+          fprintf(fichtm," (data from text file  <a href=\"%s.txt\">%s.txt</a>)\n<br>",subdirf2(optionfilefiname,"F_"),subdirf2(optionfilefiname,"F_"));
+          fprintf(fichtm,"<img src=\"%s_%d-%d-%d.svg\">",
+                  subdirf2(optionfilefiname,"PROJ_"),cpt,k1,nres);
+        }
+      }
+      if(prevbcast==1){
+       /* Back projection of prevalence up to stable (mixed) back-prevalence in each health state */
         for(cpt=1; cpt<=nlstate;cpt++){
-          fprintf(fichtm,"<br>\n- Projection of cross-sectional prevalence (estimated with cases observed from %.1f to %.1f and mobil_average=%d) up to period (stable) prevalence in state %d. Or probability to be in state %d being in state (1 to %d) at different ages. <a href=\"%s_%d-%d-%d.svg\">%s_%d-%d-%d.svg</a><br> \
+          fprintf(fichtm,"<br>\n- Back projection of cross-sectional prevalence (estimated with cases observed from %.1f to %.1f and mobil_average=%d), \
- <img src=\"%s_%d-%d-%d.svg\">", dateprev1, dateprev2, mobilavproj, cpt, cpt, nlstate, subdirf2(optionfilefiname,"PROJ_"),cpt,k1,nres,subdirf2(optionfilefiname,"PROJ_"),cpt,k1,nres,subdirf2(optionfilefiname,"PROJ_"),cpt,k1,nres);
+  from year %.1f up to year %.1f (probably close to stable [mixed] back prevalence in state %d (randomness in cross-sectional prevalence is not taken into \
+  account but can visually be appreciated). Or probability to have been in an state %d, knowing that the person was in either state (1 or %d) \
+ with weights corresponding to observed prevalence at different ages. <a href=\"%s_%d-%d-%d.svg\">%s_%d-%d-%d.svg</a>", dateprev1, dateprev2, mobilavproj, dateback1, dateback2, cpt, cpt, nlstate, subdirf2(optionfilefiname,"PROJB_"),cpt,k1,nres,subdirf2(optionfilefiname,"PROJB_"),cpt,k1,nres);
+          fprintf(fichtm," (data from text file  <a href=\"%s.txt\">%s.txt</a>)\n<br>",subdirf2(optionfilefiname,"FB_"),subdirf2(optionfilefiname,"FB_"));
+          fprintf(fichtm," <img src=\"%s_%d-%d-%d.svg\">", subdirf2(optionfilefiname,"PROJB_"),cpt,k1,nres);
         }
       }
       for(cpt=1; cpt<=nlstate;cpt++) {
-        fprintf(fichtm,"\n<br>- Life expectancy by health state (%d) at initial age and its decomposition into health expectancies in each alive state (1 to %d) (or area under each survival functions): <a href=\"%s_%d-%d-%d.svg\">%s_%d-%d-%d.svg</a> <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) (or area under each survival functions): <a href=\"%s_%d-%d-%d.svg\">%s_%d-%d-%d.svg</a>",cpt,nlstate,subdirf2(optionfilefiname,"EXP_"),cpt,k1,nres,subdirf2(optionfilefiname,"EXP_"),cpt,k1,nres);
- <img src=\"%s_%d-%d-%d.svg\">",cpt,nlstate,subdirf2(optionfilefiname,"EXP_"),cpt,k1,nres,subdirf2(optionfilefiname,"EXP_"),cpt,k1,nres,subdirf2(optionfilefiname,"EXP_"),cpt,k1,nres);
+        fprintf(fichtm," (data from text file  <a href=\"%s.txt\"> %s.txt</a>)\n<br>",subdirf2(optionfilefiname,"E_"),subdirf2(optionfilefiname,"E_"));
+        fprintf(fichtm,"<img src=\"%s_%d-%d-%d.svg\">", subdirf2(optionfilefiname,"EXP_"),cpt,k1,nres );
       }
       /* } /\* end i1 *\/ */
-    }/* End k1 */
+    }/* End k1=nres */
     fprintf(fichtm,"</ul>");
     fprintf(fichtm,"\
- Line 6548  See page 'Matrix of variance-covariance
+ Line 7755  See page 'Matrix of variance-covariance
     <a href=\"%s\">%s</a> <br>\n</li>",
             estepm,subdirf2(fileresu,"STDE_"),subdirf2(fileresu,"STDE_"));
     fprintf(fichtm,"\
-  - Variances and covariances of health expectancies by age. Status (i) based health expectancies (in state j), e<sup>ij</sup> are weighted by the period prevalences in each state i (if popbased=1, an additional computation is done using the cross-sectional prevalences, i.e population based) (estepm=%d months): <a href=\"%s\">%s</a><br>\n",
+  - Variances and covariances of health expectancies by age. Status (i) based health expectancies (in state j), e<sup>ij</sup> are weighted by the forward (period) prevalences in each state i (if popbased=1, an additional computation is done using the cross-sectional prevalences, i.e population based) (estepm=%d months): <a href=\"%s\">%s</a><br>\n",
             estepm, subdirf2(fileresu,"V_"),subdirf2(fileresu,"V_"));
     fprintf(fichtm,"\
   - Total life expectancy and total health expectancies to be spent in each health state e<sup>.j</sup> with their standard errors (if popbased=1, an additional computation is done using the cross-sectional prevalences, i.e population based) (estepm=%d months): <a href=\"%s\">%s</a> <br>\n",
             estepm, subdirf2(fileresu,"T_"),subdirf2(fileresu,"T_"));
     fprintf(fichtm,"\
-  - Standard deviation of period (stable) prevalences: <a href=\"%s\">%s</a> <br>\n",\
+  - Standard deviation of forward (period) prevalences: <a href=\"%s\">%s</a> <br>\n",\
             subdirf2(fileresu,"VPL_"),subdirf2(fileresu,"VPL_"));
  /*  if(popforecast==1) fprintf(fichtm,"\n */
- Line 6564  See page 'Matrix of variance-covariance
+ Line 7771  See page 'Matrix of variance-covariance
  /*  else  */
  /*    fprintf(fichtm,"\n No population forecast: popforecast = %d (instead of 1) or stepm = %d (instead of 1) or model=%s (instead of .)<br><br></li>\n",popforecast, stepm, model); */
     fflush(fichtm);
-    fprintf(fichtm," <ul><li><b>Graphs</b></li><p>");
     m=pow(2,cptcoveff);
     if (cptcovn < 1) {m=1;ncodemax[1]=1;}
+    fprintf(fichtm," <ul><li><b>Graphs (second order)</b></li><p>");
+   jj1=0;
+    fprintf(fichtm," \n<ul>");
+    for(nres=1; nres <= nresult; nres++){ /* For each resultline */
+      /* k1=nres; */
+      k1= TKresult[nres];
+      /* for(k1=1; k1<=m;k1++){ /\* For each combination of covariate *\/ */
+      /* if(m != 1 && TKresult[nres]!= k1) */
+      /*   continue; */
+      jj1++;
+      if (cptcovn > 0) {
+        fprintf(fichtm,"\n<li><a  size=\"1\" color=\"#EC5E5E\" href=\"#rescovsecond");
+        for (cpt=1; cpt<=cptcovs;cpt++){
+          fprintf(fichtm,"_V%d=%lg_",Tvresult[nres][cpt],TinvDoQresult[nres][Tvresult[nres][cpt]]);
+        }
+        fprintf(fichtm,"\">");
+        /* if(nqfveff+nqtveff 0) */ /* Test to be done */
+        fprintf(fichtm,"************ Results for covariates");
+        for (cpt=1; cpt<=cptcovs;cpt++){
+          fprintf(fichtm," V%d=%lg ",Tvresult[nres][cpt],TinvDoQresult[nres][Tvresult[nres][cpt]]);
+        }
+        if(invalidvarcomb[k1]){
+          fprintf(fichtm," Warning Combination (%d) ignored because no cases ",k1);
+          continue;
+        }
+        fprintf(fichtm,"</a></li>");
+      } /* cptcovn >0 */
+    } /* End nres */
+    fprintf(fichtm," \n</ul>");
     jj1=0;
     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
-    for(k1=1; k1<=m;k1++){
+      /* k1=nres; */
-      if(m != 1 && TKresult[nres]!= k1)
+      k1= TKresult[nres];
-        continue;
+      /* for(k1=1; k1<=m;k1++){ */
+      /* if(m != 1 && TKresult[nres]!= k1) */
+      /*   continue; */
       /* for(i1=1; i1<=ncodemax[k1];i1++){ */
       jj1++;
       if (cptcovn > 0) {
+        fprintf(fichtm,"\n<p><a name=\"rescovsecond");
+        for (cpt=1; cpt<=cptcovs;cpt++){
+          fprintf(fichtm,"_V%d=%lg_",Tvresult[nres][cpt],TinvDoQresult[nres][Tvresult[nres][cpt]]);
+        }
+        fprintf(fichtm,"\"</a>");
         fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");
-        for (cpt=1; cpt<=cptcoveff;cpt++)  /**< cptcoveff number of variables */
+        for (cpt=1; cpt<=cptcovs;cpt++){  /**< cptcoveff number of variables */
-          fprintf(fichtm," V%d=%d ",Tvresult[nres][cpt],Tresult[nres][cpt]);
+          fprintf(fichtm," V%d=%lg ",Tvresult[nres][cpt],TinvDoQresult[nres][Tvresult[nres][cpt]]);
+          printf(" V%d=%lg ",Tvresult[nres][cpt],TinvDoQresult[nres][Tvresult[nres][cpt]]);
           /* fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]); */
-        for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
+        }
-         fprintf(fichtm," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
-       }
-        fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");
+        fprintf(fichtm," (model=%s) ************\n<hr size=\"2\" color=\"#EC5E5E\">",model);
         if(invalidvarcomb[k1]){
           fprintf(fichtm,"\n<h4>Combination (%d) ignored because no cases </h4>\n",k1);
           continue;
         }
-      }
+      } /* If cptcovn >0 */
       for(cpt=1; cpt<=nlstate;cpt++) {
         fprintf(fichtm,"\n<br>- Observed (cross-sectional with mov_average=%d) and period (incidence based) \
- prevalence (with 95%% confidence interval) in state (%d): <a href=\"%s_%d-%d-%d.svg\"> %s_%d-%d-%d.svg</a>\n <br>\
+ prevalence (with 95%% confidence interval) in state (%d): <a href=\"%s_%d-%d-%d.svg\"> %s_%d-%d-%d.svg</a>",mobilav,cpt,subdirf2(optionfilefiname,"V_"),cpt,k1,nres,subdirf2(optionfilefiname,"V_"),cpt,k1,nres);
- <img src=\"%s_%d-%d-%d.svg\">",mobilav,cpt,subdirf2(optionfilefiname,"V_"),cpt,k1,nres,subdirf2(optionfilefiname,"V_"),cpt,k1,nres,subdirf2(optionfilefiname,"V_"),cpt,k1,nres);
+        fprintf(fichtm," (data from text file  <a href=\"%s\">%s</a>)\n <br>",subdirf2(fileresu,"VPL_"),subdirf2(fileresu,"VPL_"));
+        fprintf(fichtm,"<img src=\"%s_%d-%d-%d.svg\">",subdirf2(optionfilefiname,"V_"), cpt,k1,nres);
       }
       fprintf(fichtm,"\n<br>- Total life expectancy by age and \
- health expectancies in states (1) and (2). If popbased=1 the smooth (due to the model) \
+ health expectancies in each live states (1 to %d). If popbased=1 the smooth (due to the model) \
  true period expectancies (those weighted with period prevalences are also\
   drawn in addition to the population based expectancies computed using\
-  observed and cahotic prevalences:  <a href=\"%s_%d-%d.svg\">%s_%d-%d.svg</a>\n<br>\
+  observed and cahotic prevalences:  <a href=\"%s_%d-%d.svg\">%s_%d-%d.svg</a>",nlstate, subdirf2(optionfilefiname,"E_"),k1,nres,subdirf2(optionfilefiname,"E_"),k1,nres);
- <img src=\"%s_%d-%d.svg\">",subdirf2(optionfilefiname,"E_"),k1,nres,subdirf2(optionfilefiname,"E_"),k1,nres,subdirf2(optionfilefiname,"E_"),k1,nres);
+      fprintf(fichtm," (data from text file <a href=\"%s.txt\">%s.txt</a>) \n<br>",subdirf2(optionfilefiname,"T_"),subdirf2(optionfilefiname,"T_"));
+      fprintf(fichtm,"<img src=\"%s_%d-%d.svg\">",subdirf2(optionfilefiname,"E_"),k1,nres);
       /* } /\* end i1 *\/ */
-    }/* End k1 */
    }/* End nres */
     fprintf(fichtm,"</ul>");
     fflush(fichtm);
  }
  /******************* Gnuplot file **************/
- void printinggnuplot(char fileresu[], char optionfilefiname[], double ageminpar, double agemaxpar, double fage , int prevfcast, int backcast, char pathc[], double p[]){
+ void printinggnuplot(char fileresu[], char optionfilefiname[], double ageminpar, double agemaxpar, double bage, double fage , int prevfcast, int prevbcast, char pathc[], double p[], int offyear, int offbyear){
    char dirfileres[132],optfileres[132];
-   char gplotcondition[132];
+   char gplotcondition[132], gplotlabel[132];
    int cpt=0,k1=0,i=0,k=0,j=0,jk=0,k2=0,k3=0,k4=0,ij=0, ijp=0, l=0;
    int lv=0, vlv=0, kl=0;
    int ng=0;
    int vpopbased;
    int ioffset; /* variable offset for columns */
+   int iyearc=1; /* variable column for year of projection  */
+   int iagec=1; /* variable column for age of projection  */
    int nres=0; /* Index of resultline */
+   int istart=1; /* For starting graphs in projections */
  /*   if((ficgp=fopen(optionfilegnuplot,"a"))==NULL) { */
  /*     printf("Problem with file %s",optionfilegnuplot); */
- Line 6633  void printinggnuplot(char fileresu[], ch
+ Line 7883  void printinggnuplot(char fileresu[], ch
    /*#endif */
    m=pow(2,cptcoveff);
+   /* diagram of the model */
+   fprintf(ficgp,"\n#Diagram of the model \n");
+   fprintf(ficgp,"\ndelta=0.03;delta2=0.07;unset arrow;\n");
+   fprintf(ficgp,"yoff=(%d > 2? 0:1);\n",nlstate);
+   fprintf(ficgp,"\n#Peripheral arrows\nset for [i=1:%d] for [j=1:%d] arrow i*10+j from cos(pi*((1-(%d/2)*2./%d)/2+(i-1)*2./%d))-(i!=j?(i-j)/abs(i-j)*delta:0), yoff +sin(pi*((1-(%d/2)*2./%d)/2+(i-1)*2./%d)) + (i!=j?(i-j)/abs(i-j)*delta:0) rto -0.95*(cos(pi*((1-(%d/2)*2./%d)/2+(i-1)*2./%d))+(i!=j?(i-j)/abs(i-j)*delta:0) - cos(pi*((1-(%d/2)*2./%d)/2+(j-1)*2./%d)) + (i!=j?(i-j)/abs(i-j)*delta2:0)), -0.95*(sin(pi*((1-(%d/2)*2./%d)/2+(i-1)*2./%d)) + (i!=j?(i-j)/abs(i-j)*delta:0) - sin(pi*((1-(%d/2)*2./%d)/2+(j-1)*2./%d))+( i!=j?(i-j)/abs(i-j)*delta2:0)) ls (i < j? 1:2)\n",nlstate,nlstate,nlstate,nlstate,nlstate,nlstate,nlstate,nlstate,nlstate,nlstate,nlstate,nlstate,nlstate,nlstate,nlstate,nlstate,nlstate,nlstate,nlstate,nlstate);
+   fprintf(ficgp,"\n#Centripete arrows (turning in other direction (1-i) instead of (i-1)) \nset for [i=1:%d] arrow (%d+1)*10+i from cos(pi*((1-(%d/2)*2./%d)/2+(1-i)*2./%d))-(i!=j?(i-j)/abs(i-j)*delta:0), yoff +sin(pi*((1-(%d/2)*2./%d)/2+(1-i)*2./%d)) + (i!=j?(i-j)/abs(i-j)*delta:0) rto -0.80*(cos(pi*((1-(%d/2)*2./%d)/2+(1-i)*2./%d))+(i!=j?(i-j)/abs(i-j)*delta:0)  ), -0.80*(sin(pi*((1-(%d/2)*2./%d)/2+(1-i)*2./%d)) + (i!=j?(i-j)/abs(i-j)*delta:0) + yoff ) ls 4\n",nlstate,nlstate,nlstate,nlstate,nlstate,nlstate,nlstate,nlstate,nlstate,nlstate,nlstate,nlstate,nlstate,nlstate);
+   fprintf(ficgp,"\n#show arrow\nunset label\n");
+   fprintf(ficgp,"\n#States labels, starting from 2 (2-i) instead of (1-i), was (i-1)\nset for [i=1:%d] label i sprintf(\"State %%d\",i) center at cos(pi*((1-(%d/2)*2./%d)/2+(2-i)*2./%d)), yoff+sin(pi*((1-(%d/2)*2./%d)/2+(2-i)*2./%d)) font \"helvetica, 16\" tc rgbcolor \"blue\"\n",nlstate,nlstate,nlstate,nlstate,nlstate,nlstate,nlstate);
+   fprintf(ficgp,"\nset label %d+1 sprintf(\"State %%d\",%d+1) center at 0.,0.  font \"helvetica, 16\" tc rgbcolor \"red\"\n",nlstate,nlstate);
+   fprintf(ficgp,"\n#show label\nunset border;unset xtics; unset ytics;\n");
+   fprintf(ficgp,"\n\nset ter svg size 640, 480;set out \"%s_.svg\" \n",subdirf2(optionfilefiname,"D_"));
+   fprintf(ficgp,"unset log y; plot [-1.2:1.2][yoff-1.2:1.2] 1/0 not; set out;reset;\n");
    /* Contribution to likelihood */
    /* Plot the probability implied in the likelihood */
    fprintf(ficgp,"\n# Contributions to the Likelihood, mle >=1. For mle=4 no interpolation, pure matrix products.\n#\n");
- Line 6666  void printinggnuplot(char fileresu[], ch
+ Line 7930  void printinggnuplot(char fileresu[], ch
    strcpy(optfileres,"vpl");
    /* 1eme*/
    for (cpt=1; cpt<= nlstate ; cpt ++){ /* For each live state */
-     for (k1=1; k1<= m ; k1 ++){ /* For each valid combination of covariate */
+     /* for (k1=1; k1<= m ; k1 ++){ /\* For each valid combination of covariate *\/ */
        for(nres=1; nres <= nresult; nres++){ /* For each resultline */
+         k1=TKresult[nres];
          /* plot [100000000000000000000:-100000000000000000000] "mysbiaspar/vplrmysbiaspar.txt to check */
-         if(m != 1 && TKresult[nres]!= k1)
+         /* if(m != 1 && TKresult[nres]!= k1) */
-           continue;
+         /*   continue; */
          /* We are interested in selected combination by the resultline */
          /* printf("\n# 1st: Period (stable) prevalence with CI: 'VPL_' files and live state =%d ", cpt); */
-         fprintf(ficgp,"\n# 1st: Period (stable) prevalence with CI: 'VPL_' files  and live state =%d ", cpt);
+         fprintf(ficgp,"\n# 1st: Forward (stable period) prevalence with CI: 'VPL_' files  and live state =%d ", cpt);
-         for (k=1; k<=cptcoveff; k++){    /* For each covariate k get corresponding value lv for combination k1 */
+         strcpy(gplotlabel,"(");
-           lv= decodtabm(k1,k,cptcoveff); /* Should be the value of the covariate corresponding to k1 combination */
+         for (k=1; k<=cptcovs; k++){    /* For each covariate k get corresponding value lv for combination k1 */
-           /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
+           fprintf(ficgp," V%d=%lg ",Tvresult[nres][k],TinvDoQresult[nres][Tvresult[nres][k]]);
-           /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
+           sprintf(gplotlabel+strlen(gplotlabel)," V%d=%lg ",Tvresult[nres][k],TinvDoQresult[nres][Tvresult[nres][k]]);
-           /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
-           vlv= nbcode[Tvaraff[k]][lv]; /* vlv is the value of the covariate lv, 0 or 1 */
+         /* for (k=1; k<=cptcoveff; k++){    /\* For each covariate k get corresponding value lv for combination k1 *\/ */
-           /* For each combination of covariate k1 (V1=1, V3=0), we printed the current covariate k and its value vlv */
+         /*   /\* lv= decodtabm(k1,k,cptcoveff); /\\* Should be the value of the covariate corresponding to k1 combination *\\/ *\/ */
-           /* printf(" V%d=%d ",Tvaraff[k],vlv); */
+         /*   lv=codtabm(k1,TnsdVar[Tvaraff[k]]); */
-           fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
+         /*   /\* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 *\/ */
-         }
+         /*   /\* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 *\/ */
-         for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
+         /*   /\* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 *\/ */
-           /* printf(" V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]); */
+         /*   vlv= nbcode[Tvaraff[k]][lv]; /\* vlv is the value of the covariate lv, 0 or 1 *\/ */
-           fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
+         /*   /\* For each combination of covariate k1 (V1=1, V3=0), we printed the current covariate k and its value vlv *\/ */
-         }
+         /*   /\* printf(" V%d=%d ",Tvaraff[k],vlv); *\/ */
+         /*   fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv); */
+         /*   sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv); */
+         /* } */
+         /* for (k4=1; k4<= nsq; k4++){ /\* For each selected (single) quantitative value *\/ */
+         /*   /\* printf(" V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]); *\/ */
+         /*   fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]); */
+         /*   sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]); */
+         }
+         strcpy(gplotlabel+strlen(gplotlabel),")");
          /* printf("\n#\n"); */
          fprintf(ficgp,"\n#\n");
          if(invalidvarcomb[k1]){
- Line 6698  void printinggnuplot(char fileresu[], ch
+ Line 7972  void printinggnuplot(char fileresu[], ch
          fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"V_"),cpt,k1,nres);
          fprintf(ficgp,"\n#set out \"V_%s_%d-%d-%d.svg\" \n",optionfilefiname,cpt,k1,nres);
+         /* fprintf(ficgp,"set label \"Alive state %d %s\" at graph 0.98,0.5 center rotate font \"Helvetica,12\"\n",cpt,gplotlabel); */
+         fprintf(ficgp,"set title \"Alive state %d %s model=%s\" font \"Helvetica,12\"\n",cpt,gplotlabel,model);
          fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \nset ter svg size 640, 480\nplot [%.f:%.f] \"%s\" every :::%d::%d u 1:($2==%d ? $3:1/0) \"%%lf %%lf",ageminpar,fage,subdirf2(fileresu,"VPL_"),nres-1,nres-1,nres);
          /* fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \nset ter svg size 640, 480\nplot [%.f:%.f] \"%s\" every :::%d::%d u 1:($2==%d ? $3:1/0) \"%%lf %%lf",ageminpar,fage,subdirf2(fileresu,"VPL_"),k1-1,k1-1,nres); */
        /* k1-1 error should be nres-1*/
- Line 6705  void printinggnuplot(char fileresu[], ch
+ Line 7981  void printinggnuplot(char fileresu[], ch
            if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
            else        fprintf(ficgp," %%*lf (%%*lf)");
          }
-         fprintf(ficgp,"\" t\"Period (stable) prevalence\" w l lt 0,\"%s\" every :::%d::%d u 1:($2==%d ? $3+1.96*$4 : 1/0) \"%%lf %%lf",subdirf2(fileresu,"VPL_"),nres-1,nres-1,nres);
+         fprintf(ficgp,"\" t\"Forward prevalence\" w l lt 0,\"%s\" every :::%d::%d u 1:($2==%d ? $3+1.96*$4 : 1/0) \"%%lf %%lf",subdirf2(fileresu,"VPL_"),nres-1,nres-1,nres);
          for (i=1; i<= nlstate ; i ++) {
            if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
            else fprintf(ficgp," %%*lf (%%*lf)");
- Line 6715  void printinggnuplot(char fileresu[], ch
+ Line 7991  void printinggnuplot(char fileresu[], ch
            if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
            else fprintf(ficgp," %%*lf (%%*lf)");
          }
-         fprintf(ficgp,"\" t\"\" w l lt 1,\"%s\" every :::%d::%d u 1:($%d) t\"Observed prevalence\" w l lt 2",subdirf2(fileresu,"P_"),k1-1,k1-1,2+4*(cpt-1));
+         /* fprintf(ficgp,"\" t\"\" w l lt 1,\"%s\" every :::%d::%d u 1:($%d) t\"Observed prevalence\" w l lt 2",subdirf2(fileresu,"P_"),k1-1,k1-1,2+4*(cpt-1)); */
-         if(backcast==1){ /* We need to get the corresponding values of the covariates involved in this combination k1 */
+         fprintf(ficgp,"\" t\"\" w l lt 1,\"%s\" u 1:((",subdirf2(fileresu,"P_"));
+         if(cptcoveff ==0){
+           fprintf(ficgp,"$%d)) t 'Observed prevalence in state %d' with line lt 3",      2+3*(cpt-1),  cpt );
+         }else{
+           kl=0;
+           for (k=1; k<=cptcoveff; k++){    /* For each combination of covariate  */
+             /* lv= decodtabm(k1,k,cptcoveff); /\* Should be the covariate value corresponding to k1 combination and kth covariate *\/ */
+             lv=codtabm(k1,TnsdVar[Tvaraff[k]]);
+             /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
+             /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
+             /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
+             vlv= nbcode[Tvaraff[k]][lv];
+             kl++;
+             /* kl=6+(cpt-1)*(nlstate+1)+1+(i-1); /\* 6+(1-1)*(2+1)+1+(1-1)=7, 6+(2-1)(2+1)+1+(1-1)=10 *\/ */
+             /*6+(cpt-1)*(nlstate+1)+1+(i-1)+(nlstate+1)*nlstate; 6+(1-1)*(2+1)+1+(1-1) +(2+1)*2=13 */
+             /*6+1+(i-1)+(nlstate+1)*nlstate; 6+1+(1-1) +(2+1)*2=13 */
+             /* ''  u 6:(($1==1 && $2==0 && $3==2 && $4==0)? $9/(1.-$15) : 1/0):($5==2000? 3:2) t 'p.1' with line lc variable*/
+             if(k==cptcoveff){
+               fprintf(ficgp,"$%d==%d && $%d==%d)? $%d : 1/0) t 'Observed prevalence in state %d' w l lt 2",kl+1, Tvaraff[k],kl+1+1,nbcode[Tvaraff[k]][lv], \
++cptcoveff*2+3*(cpt-1),  cpt );  /* 4 or 6 ?*/
+             }else{
+               fprintf(ficgp,"$%d==%d && $%d==%d && ",kl+1, Tvaraff[k],kl+1+1,nbcode[Tvaraff[k]][lv]);
+               kl++;
+             }
+           } /* end covariate */
+         } /* end if no covariate */
+         if(prevbcast==1){ /* We need to get the corresponding values of the covariates involved in this combination k1 */
            /* fprintf(ficgp,",\"%s\" every :::%d::%d u 1:($%d) t\"Backward stable prevalence\" w l lt 3",subdirf2(fileresu,"PLB_"),k1-1,k1-1,1+cpt); */
            fprintf(ficgp,",\"%s\" u 1:((",subdirf2(fileresu,"PLB_")); /* Age is in 1, nres in 2 to be fixed */
            if(cptcoveff ==0){
- Line 6724  void printinggnuplot(char fileresu[], ch
+ Line 8028  void printinggnuplot(char fileresu[], ch
            }else{
              kl=0;
              for (k=1; k<=cptcoveff; k++){    /* For each combination of covariate  */
-               lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to k1 combination and kth covariate */
+               /* lv= decodtabm(k1,k,cptcoveff); /\* Should be the covariate value corresponding to k1 combination and kth covariate *\/ */
+               lv=codtabm(k1,TnsdVar[Tvaraff[k]]);
                /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
-               vlv= nbcode[Tvaraff[k]][lv];
+               /* vlv= nbcode[Tvaraff[k]][lv]; */
+               vlv= nbcode[Tvaraff[k]][codtabm(k1,TnsdVar[Tvaraff[k]])];
                kl++;
                /* kl=6+(cpt-1)*(nlstate+1)+1+(i-1); /\* 6+(1-1)*(2+1)+1+(1-1)=7, 6+(2-1)(2+1)+1+(1-1)=10 *\/ */
                /*6+(cpt-1)*(nlstate+1)+1+(i-1)+(nlstate+1)*nlstate; 6+(1-1)*(2+1)+1+(1-1) +(2+1)*2=13 */
- Line 6738  void printinggnuplot(char fileresu[], ch
+ Line 8044  void printinggnuplot(char fileresu[], ch
                  fprintf(ficgp,"$%d==%d && $%d==%d)? $%d : 1/0) t 'Backward prevalence in state %d' w l lt 3",kl+1, Tvaraff[k],kl+1+1,nbcode[Tvaraff[k]][lv], \
 +cptcoveff*2+(cpt-1),  cpt );  /* 4 or 6 ?*/
                }else{
-                 fprintf(ficgp,"$%d==%d && $%d==%d && ",kl+1, Tvaraff[k],kl+1+1,nbcode[Tvaraff[k]][lv]);
+                 fprintf(ficgp,"$%d==%d && $%d==%d && ",kl+1, Tvaraff[k],kl+1+1,nbcode[Tvaraff[k]][codtabm(k1,TnsdVar[Tvaraff[k]])]);
                  kl++;
                }
              } /* end covariate */
            } /* end if no covariate */
-         } /* end if backcast */
+           if(prevbcast == 1){
-         fprintf(ficgp,"\nset out \n");
+             fprintf(ficgp,", \"%s\" every :::%d::%d u 1:($2==%d ? $3:1/0) \"%%lf %%lf",subdirf2(fileresu,"VBL_"),nres-1,nres-1,nres);
+             /* k1-1 error should be nres-1*/
+             for (i=1; i<= nlstate ; i ++) {
+               if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
+               else        fprintf(ficgp," %%*lf (%%*lf)");
+             }
+             fprintf(ficgp,"\" t\"Backward (stable) prevalence\" w l lt 6 dt 3,\"%s\" every :::%d::%d u 1:($2==%d ? $3+1.96*$4 : 1/0) \"%%lf %%lf",subdirf2(fileresu,"VBL_"),nres-1,nres-1,nres);
+             for (i=1; i<= nlstate ; i ++) {
+               if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
+               else fprintf(ficgp," %%*lf (%%*lf)");
+             }
+             fprintf(ficgp,"\" t\"95%% CI\" w l lt 4,\"%s\" every :::%d::%d u 1:($2==%d ? $3-1.96*$4 : 1/0) \"%%lf %%lf",subdirf2(fileresu,"VBL_"),nres-1,nres-1,nres);
+             for (i=1; i<= nlstate ; i ++) {
+               if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
+               else fprintf(ficgp," %%*lf (%%*lf)");
+             }
+             fprintf(ficgp,"\" t\"\" w l lt 4");
+           } /* end if backprojcast */
+         } /* end if prevbcast */
+         /* fprintf(ficgp,"\nset out ;unset label;\n"); */
+         fprintf(ficgp,"\nset out ;unset title;\n");
        } /* nres */
-     } /* k1 */
+     /* } /\* k1 *\/ */
    } /* cpt */
    /*2 eme*/
-   for (k1=1; k1<= m ; k1 ++){
+   /* for (k1=1; k1<= m ; k1 ++){   */
      for(nres=1; nres <= nresult; nres++){ /* For each resultline */
-       if(m != 1 && TKresult[nres]!= k1)
+       k1=TKresult[nres];
-         continue;
+       /* if(m != 1 && TKresult[nres]!= k1) */
+       /*        continue; */
        fprintf(ficgp,"\n# 2nd: Total life expectancy with CI: 't' files ");
-       for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
+       strcpy(gplotlabel,"(");
-         lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
+       for (k=1; k<=cptcovs; k++){    /* For each covariate k get corresponding value lv for combination k1 */
-         /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
+         fprintf(ficgp," V%d=%lg ",Tvresult[nres][k],TinvDoQresult[nres][Tvresult[nres][k]]);
-         /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
+         sprintf(gplotlabel+strlen(gplotlabel)," V%d=%lg ",Tvresult[nres][k],TinvDoQresult[nres][Tvresult[nres][k]]);
-         /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
+       /* for (k=1; k<=cptcoveff; k++){    /\* For each covariate and each value *\/ */
-         vlv= nbcode[Tvaraff[k]][lv];
+       /*        /\* lv= decodtabm(k1,k,cptcoveff); /\\* Should be the covariate number corresponding to k1 combination *\\/ *\/ */
-         fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
+       /*        lv=codtabm(k1,TnsdVar[Tvaraff[k]]); */
-       }
+       /*        /\* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 *\/ */
-       /* for(k=1; k <= ncovds; k++){ */
+       /*        /\* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 *\/ */
-       for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
+       /*        /\* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 *\/ */
-         printf(" V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
+       /*        /\* vlv= nbcode[Tvaraff[k]][lv]; *\/ */
-         fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
+       /*        vlv= nbcode[Tvaraff[k]][codtabm(k1,TnsdVar[Tvaraff[k]])]; */
+       /*        fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv); */
+       /*        sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv); */
+       /* } */
+       /* /\* for(k=1; k <= ncovds; k++){ *\/ */
+       /* for (k4=1; k4<= nsq; k4++){ /\* For each selected (single) quantitative value *\/ */
+       /*        printf(" V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]); */
+       /*        fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]); */
+       /*        sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]); */
        }
+       strcpy(gplotlabel+strlen(gplotlabel),")");
        fprintf(ficgp,"\n#\n");
        if(invalidvarcomb[k1]){
          fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1);
- Line 6777  void printinggnuplot(char fileresu[], ch
+ Line 8113  void printinggnuplot(char fileresu[], ch
        fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" \n",subdirf2(optionfilefiname,"E_"),k1,nres);
        for(vpopbased=0; vpopbased <= popbased; vpopbased++){ /* Done for vpopbased=0 and vpopbased=1 if popbased==1*/
-         if(vpopbased==0)
+         fprintf(ficgp,"\nset label \"popbased %d %s\" at graph 0.98,0.5 center rotate font \"Helvetica,12\"\n",vpopbased,gplotlabel);
+         if(vpopbased==0){
            fprintf(ficgp,"set ylabel \"Years\" \nset ter svg size 640, 480\nplot [%.f:%.f] ",ageminpar,fage);
-         else
+         }else
            fprintf(ficgp,"\nreplot ");
          for (i=1; i<= nlstate+1 ; i ++) {
            k=2*i;
- Line 6805  void printinggnuplot(char fileresu[], ch
+ Line 8142  void printinggnuplot(char fileresu[], ch
            else fprintf(ficgp,"\" t\"\" w l lt 0,\\\n");
          } /* state */
        } /* vpopbased */
-       fprintf(ficgp,"\nset out;set out \"%s_%d-%d.svg\"; replot; set out; \n",subdirf2(optionfilefiname,"E_"),k1,nres); /* Buggy gnuplot */
+       fprintf(ficgp,"\nset out;set out \"%s_%d-%d.svg\"; replot; set out; unset label;\n",subdirf2(optionfilefiname,"E_"),k1,nres); /* Buggy gnuplot */
      } /* end nres */
-   } /* k1 end 2 eme*/
+   /* } /\* k1 end 2 eme*\/ */
    /*3eme*/
-   for (k1=1; k1<= m ; k1 ++){
+   /* for (k1=1; k1<= m ; k1 ++){ */
      for(nres=1; nres <= nresult; nres++){ /* For each resultline */
-       if(m != 1 && TKresult[nres]!= k1)
+       k1=TKresult[nres];
-         continue;
+       /* if(m != 1 && TKresult[nres]!= k1) */
+       /*        continue; */
-       for (cpt=1; cpt<= nlstate ; cpt ++) {
+       for (cpt=1; cpt<= nlstate ; cpt ++) { /* Fragile no verification of covariate values */
          fprintf(ficgp,"\n\n# 3d: Life expectancy with EXP_ files:  combination=%d state=%d",k1, cpt);
-         for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
+         strcpy(gplotlabel,"(");
-           lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
+         for (k=1; k<=cptcovs; k++){    /* For each covariate k get corresponding value lv for combination k1 */
-           /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
+           fprintf(ficgp," V%d=%lg ",Tvresult[nres][k],TinvDoQresult[nres][Tvresult[nres][k]]);
-           /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
+           sprintf(gplotlabel+strlen(gplotlabel)," V%d=%lg ",Tvresult[nres][k],TinvDoQresult[nres][Tvresult[nres][k]]);
-           /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
+         /* for (k=1; k<=cptcoveff; k++){    /\* For each covariate and each value *\/ */
-           vlv= nbcode[Tvaraff[k]][lv];
+         /*   /\* lv= decodtabm(k1,k,cptcoveff); /\\* Should be the covariate number corresponding to k1 combination *\\/ *\/ */
-           fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
+         /*   lv= codtabm(k1,TnsdVar[Tvaraff[k]]); /\* Should be the covariate value corresponding to combination k1 and covariate k *\/ */
+         /*   /\* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 *\/ */
+         /*   /\* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 *\/ */
+         /*   /\* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 *\/ */
+         /*   /\* vlv= nbcode[Tvaraff[k]][lv]; *\/ */
+         /*   vlv= nbcode[Tvaraff[k]][codtabm(k1,TnsdVar[Tvaraff[k]])]; */
+         /*   fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv); */
+         /*   sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv); */
+         /* } */
+         /* for (k4=1; k4<= nsq; k4++){ /\* For each selected (single) quantitative value *\/ */
+         /*   fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][resultmodel[nres][k4]]); */
+         /*   sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][resultmodel[nres][k4]]); */
          }
-         for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
+         strcpy(gplotlabel+strlen(gplotlabel),")");
-           fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
-         }
          fprintf(ficgp,"\n#\n");
          if(invalidvarcomb[k1]){
            fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1);
- Line 6838  void printinggnuplot(char fileresu[], ch
+ Line 8185  void printinggnuplot(char fileresu[], ch
          /*       k=2+nlstate*(2*cpt-2); */
          k=2+(nlstate+1)*(cpt-1);
          fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"EXP_"),cpt,k1,nres);
+         fprintf(ficgp,"set label \"%s\" at graph 0.98,0.5 center rotate font \"Helvetica,12\"\n",gplotlabel);
          fprintf(ficgp,"set ter svg size 640, 480\n\
  plot [%.f:%.f] \"%s\" every :::%d::%d u 1:%d t \"e%d1\" w l",ageminpar,fage,subdirf2(fileresu,"E_"),nres-1,nres-1,k,cpt);
          /*fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d-2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);
- Line 6855  plot [%.f:%.f] \"%s\" every :::%d::%d u
+ Line 8203  plot [%.f:%.f] \"%s\" every :::%d::%d u
          }
          fprintf(ficgp," ,\"%s\" every :::%d::%d u 1:%d t \"e%d.\" w l",subdirf2(fileresu,"E_"),nres-1,nres-1,k+nlstate,cpt);
        }
+       fprintf(ficgp,"\nunset label;\n");
      } /* end nres */
-   } /* end kl 3eme */
+   /* } /\* end kl 3eme *\/ */
    /* 4eme */
    /* Survival functions (period) from state i in state j by initial state i */
-   for (k1=1; k1<=m; k1++){    /* For each covariate and each value */
+   /* for (k1=1; k1<=m; k1++){    /\* For each covariate and each value *\/ */
      for(nres=1; nres <= nresult; nres++){ /* For each resultline */
-       if(m != 1 && TKresult[nres]!= k1)
+       k1=TKresult[nres];
-         continue;
+       /* if(m != 1 && TKresult[nres]!= k1) */
+       /*        continue; */
        for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state cpt*/
-         fprintf(ficgp,"\n#\n#\n# Survival functions in state j : 'LIJ_' files, cov=%d state=%d",k1, cpt);
+         strcpy(gplotlabel,"(");
-         for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
+         fprintf(ficgp,"\n#\n#\n# Survival functions in state %d : 'LIJ_' files, cov=%d state=%d", cpt, k1, cpt);
-           lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
+         for (k=1; k<=cptcovs; k++){    /* For each covariate k get corresponding value lv for combination k1 */
-           /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
+           fprintf(ficgp," V%d=%lg ",Tvresult[nres][k],TinvDoQresult[nres][Tvresult[nres][k]]);
-           /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
+           sprintf(gplotlabel+strlen(gplotlabel)," V%d=%lg ",Tvresult[nres][k],TinvDoQresult[nres][Tvresult[nres][k]]);
-           /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
+         /* for (k=1; k<=cptcoveff; k++){    /\* For each covariate and each value *\/ */
-           vlv= nbcode[Tvaraff[k]][lv];
+         /*   lv=codtabm(k1,TnsdVar[Tvaraff[k]]); */
-           fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
+         /*   /\* lv= decodtabm(k1,k,cptcoveff); /\\* Should be the covariate number corresponding to k1 combination *\\/ *\/ */
-         }
+         /*   /\* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 *\/ */
-         for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
+         /*   /\* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 *\/ */
-           fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
+         /*   /\* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 *\/ */
+         /*   /\* vlv= nbcode[Tvaraff[k]][lv]; *\/ */
+         /*   vlv= nbcode[Tvaraff[k]][codtabm(k1,TnsdVar[Tvaraff[k]])]; */
+         /*   fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv); */
+         /*   sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv); */
+         /* } */
+         /* for (k4=1; k4<= nsq; k4++){ /\* For each selected (single) quantitative value *\/ */
+         /*   fprintf(ficgp," V%d=%f ",Tvqresult[nres][resultmodel[nres][k4]],Tqresult[nres][resultmodel[nres][k4]]); */
+         /*   sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][resultmodel[nres][k4]],Tqresult[nres][resultmodel[nres][k4]]); */
          }
+         strcpy(gplotlabel+strlen(gplotlabel),")");
          fprintf(ficgp,"\n#\n");
          if(invalidvarcomb[k1]){
            fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1);
- Line 6884  plot [%.f:%.f] \"%s\" every :::%d::%d u
+ Line 8243  plot [%.f:%.f] \"%s\" every :::%d::%d u
          }
          fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"LIJ_"),cpt,k1,nres);
+         fprintf(ficgp,"set label \"Alive state %d %s\" at graph 0.98,0.5 center rotate font \"Helvetica,12\"\n",cpt,gplotlabel);
          fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability to be alive\" \n\
  set ter svg size 640, 480\nunset log y\nplot [%.f:%.f]  ", ageminpar, agemaxpar);
          k=3;
- Line 6899  set ter svg size 640, 480\nunset log y\n
+ Line 8259  set ter svg size 640, 480\nunset log y\n
              fprintf(ficgp,"+$%d",k+l+j-1);
            fprintf(ficgp,")) t \"l(%d,%d)\" w l",i,cpt);
          } /* nlstate */
-         fprintf(ficgp,"\nset out\n");
+         fprintf(ficgp,"\nset out; unset label;\n");
        } /* end cpt state*/
      } /* end nres */
-   } /* end covariate k1 */
+   /* } /\* end covariate k1 *\/   */
  /* 5eme */
    /* Survival functions (period) from state i in state j by final state j */
-   for (k1=1; k1<= m ; k1++){ /* For each covariate combination if any */
+   /* for (k1=1; k1<= m ; k1++){ /\* For each covariate combination if any *\/ */
      for(nres=1; nres <= nresult; nres++){ /* For each resultline */
-       if(m != 1 && TKresult[nres]!= k1)
+       k1=TKresult[nres];
-         continue;
+       /* if(m != 1 && TKresult[nres]!= k1) */
+       /*        continue; */
        for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each inital state  */
+         strcpy(gplotlabel,"(");
          fprintf(ficgp,"\n#\n#\n# Survival functions in state j and all livestates from state i by final state j: 'lij' files, cov=%d state=%d",k1, cpt);
-         for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
+         for (k=1; k<=cptcovs; k++){    /* For each covariate k get corresponding value lv for combination k1 */
-           lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
+           fprintf(ficgp," V%d=%lg ",Tvresult[nres][k],TinvDoQresult[nres][Tvresult[nres][k]]);
-           /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
+           sprintf(gplotlabel+strlen(gplotlabel)," V%d=%lg ",Tvresult[nres][k],TinvDoQresult[nres][Tvresult[nres][k]]);
-           /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
+         /* for (k=1; k<=cptcoveff; k++){    /\* For each covariate and each value *\/ */
-           /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
+         /*   lv=codtabm(k1,TnsdVar[Tvaraff[k]]); */
-           vlv= nbcode[Tvaraff[k]][lv];
+         /*   /\* lv= decodtabm(k1,k,cptcoveff); /\\* Should be the covariate number corresponding to k1 combination *\\/ *\/ */
-           fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
+         /*   /\* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 *\/ */
-         }
+         /*   /\* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 *\/ */
-         for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
+         /*   /\* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 *\/ */
-           fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
+         /*   /\* vlv= nbcode[Tvaraff[k]][lv]; *\/ */
+         /*   vlv= nbcode[Tvaraff[k]][codtabm(k1,TnsdVar[Tvaraff[k]])]; */
+         /*   fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv); */
+         /*   sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv); */
+         /* } */
+         /* for (k4=1; k4<= nsq; k4++){ /\* For each selected (single) quantitative value *\/ */
+         /*   fprintf(ficgp," V%d=%f ",Tvqresult[nres][resultmodel[nres][k4]],Tqresult[nres][resultmodel[nres][k4]]); */
+         /*   sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][resultmodel[nres][k4]],Tqresult[nres][resultmodel[nres][k4]]); */
          }
+         strcpy(gplotlabel+strlen(gplotlabel),")");
          fprintf(ficgp,"\n#\n");
          if(invalidvarcomb[k1]){
            fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1);
- Line 6930  set ter svg size 640, 480\nunset log y\n
+ Line 8300  set ter svg size 640, 480\nunset log y\n
          }
          fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"LIJT_"),cpt,k1,nres);
+         fprintf(ficgp,"set label \"Alive state %d %s\" at graph 0.98,0.5 center rotate font \"Helvetica,12\"\n",cpt,gplotlabel);
          fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability to be alive\" \n\
  set ter svg size 640, 480\nunset log y\nplot [%.f:%.f]  ", ageminpar, agemaxpar);
          k=3;
- Line 6953  set ter svg size 640, 480\nunset log y\n
+ Line 8324  set ter svg size 640, 480\nunset log y\n
            else
              fprintf(ficgp,"$%d) t\"l(%d,.)\" w l",k+l,cpt);
          }
-         fprintf(ficgp,"\nset out\n");
+         fprintf(ficgp,"\nset out; unset label;\n");
        } /* end cpt state*/
-     } /* end covariate */
+     /* } /\* end covariate *\/   */
    } /* end nres */
  /* 6eme */
    /* CV preval stable (period) for each covariate */
-   for (k1=1; k1<= m ; k1 ++) /* For each covariate combination if any */
+   /* for (k1=1; k1<= m ; k1 ++) /\* For each covariate combination if any *\/ */
    for(nres=1; nres <= nresult; nres++){ /* For each resultline */
-     if(m != 1 && TKresult[nres]!= k1)
+      k1=TKresult[nres];
-       continue;
+      /* if(m != 1 && TKresult[nres]!= k1) */
+      /*  continue; */
      for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state of arrival */
+       strcpy(gplotlabel,"(");
-       fprintf(ficgp,"\n#\n#\n#CV preval stable (period): 'pij' files, covariatecombination#=%d state=%d",k1, cpt);
+       fprintf(ficgp,"\n#\n#\n#CV preval stable (forward): 'pij' files, covariatecombination#=%d state=%d",k1, cpt);
-       for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
+       for (k=1; k<=cptcovs; k++){    /* For each covariate k get corresponding value lv for combination k1 */
-         lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
+         fprintf(ficgp," V%d=%lg ",Tvresult[nres][k],TinvDoQresult[nres][Tvresult[nres][k]]);
-         /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
+         sprintf(gplotlabel+strlen(gplotlabel)," V%d=%lg ",Tvresult[nres][k],TinvDoQresult[nres][Tvresult[nres][k]]);
-         /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
+       /* for (k=1; k<=cptcoveff; k++){    /\* For each covariate and each value *\/ */
-         /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
+       /*        /\* lv= decodtabm(k1,k,cptcoveff); /\\* Should be the covariate number corresponding to k1 combination *\\/ *\/ */
-         vlv= nbcode[Tvaraff[k]][lv];
+       /*        lv=codtabm(k1,TnsdVar[Tvaraff[k]]); */
-         fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
+       /*        /\* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 *\/ */
-       }
+       /*        /\* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 *\/ */
-       for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
+       /*        /\* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 *\/ */
-         fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
+       /*        /\* vlv= nbcode[Tvaraff[k]][lv]; *\/ */
+       /*        vlv= nbcode[Tvaraff[k]][codtabm(k1,TnsdVar[Tvaraff[k]])]; */
+       /*        fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv); */
+       /*        sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv); */
+       /* } */
+       /* for (k4=1; k4<= nsq; k4++){ /\* For each selected (single) quantitative value *\/ */
+       /*        fprintf(ficgp," V%d=%f ",Tvqresult[nres][resultmodel[nres][k4]],Tqresult[nres][resultmodel[nres][k4]]); */
+       /*        sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][resultmodel[nres][k4]],Tqresult[nres][resultmodel[nres][k4]]); */
        }
+       strcpy(gplotlabel+strlen(gplotlabel),")");
        fprintf(ficgp,"\n#\n");
        if(invalidvarcomb[k1]){
          fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1);
- Line 6985  set ter svg size 640, 480\nunset log y\n
+ Line 8365  set ter svg size 640, 480\nunset log y\n
        }
        fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"P_"),cpt,k1,nres);
+       fprintf(ficgp,"set label \"Alive state %d %s\" at graph 0.98,0.5 center rotate font \"Helvetica,12\"\n",cpt,gplotlabel);
        fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \n\
  set ter svg size 640, 480\nunset log y\nplot [%.f:%.f]  ", ageminpar, agemaxpar);
        k=3; /* Offset */
- Line 6999  set ter svg size 640, 480\nunset log y\n
+ Line 8380  set ter svg size 640, 480\nunset log y\n
            fprintf(ficgp,"+$%d",k+l+j-1);
          fprintf(ficgp,")) t \"prev(%d,%d)\" w l",i,cpt);
        } /* nlstate */
-       fprintf(ficgp,"\nset out\n");
+       fprintf(ficgp,"\nset out; unset label;\n");
      } /* end cpt state*/
    } /* end covariate */
  /* 7eme */
-   if(backcast == 1){
+   if(prevbcast == 1){
-     /* CV back preval stable (period) for each covariate */
+     /* CV backward prevalence  for each covariate */
-     for (k1=1; k1<= m ; k1 ++) /* For each covariate combination if any */
+     /* for (k1=1; k1<= m ; k1 ++) /\* For each covariate combination if any *\/ */
      for(nres=1; nres <= nresult; nres++){ /* For each resultline */
-       if(m != 1 && TKresult[nres]!= k1)
+       k1=TKresult[nres];
-         continue;
+       /* if(m != 1 && TKresult[nres]!= k1) */
-       for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life ending state */
+       /*        continue; */
-         fprintf(ficgp,"\n#\n#\n#CV Back preval stable (period): 'pijb' files, covariatecombination#=%d state=%d",k1, cpt);
+       for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life origin state */
-         for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
+         strcpy(gplotlabel,"(");
-           lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
+         fprintf(ficgp,"\n#\n#\n#CV Backward stable prevalence: 'pijb' files, covariatecombination#=%d state=%d",k1, cpt);
-           /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
+         for (k=1; k<=cptcovs; k++){    /* For each covariate k get corresponding value lv for combination k1 */
-           /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
+           fprintf(ficgp," V%d=%lg ",Tvresult[nres][k],TinvDoQresult[nres][Tvresult[nres][k]]);
-           /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
+           sprintf(gplotlabel+strlen(gplotlabel)," V%d=%lg ",Tvresult[nres][k],TinvDoQresult[nres][Tvresult[nres][k]]);
-           vlv= nbcode[Tvaraff[k]][lv];
+         /* for (k=1; k<=cptcoveff; k++){    /\* For each covariate and each value *\/ */
-           fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
+         /*   /\* lv= decodtabm(k1,k,cptcoveff); /\\* Should be the covariate number corresponding to k1 combination *\\/ *\/ */
-         }
+         /*   lv=codtabm(k1,TnsdVar[Tvaraff[k]]); */
-         for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
+         /*   /\* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 *\/ */
-           fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
+         /*   /\* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 *\/ */
+         /*   /\* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 *\/ */
+         /*   /\* vlv= nbcode[Tvaraff[k]][lv]; *\/ */
+         /*   vlv= nbcode[Tvaraff[k]][codtabm(k1,TnsdVar[Tvaraff[k]])]; */
+         /*   fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv); */
+         /*   sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv); */
+         /* } */
+         /* for (k4=1; k4<= nsq; k4++){ /\* For each selected (single) quantitative value *\/ */
+         /*   fprintf(ficgp," V%d=%f ",Tvqresult[nres][resultmodel[nres][k4]],Tqresult[nres][resultmodel[nres][k4]]); */
+         /*   sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][resultmodel[nres][k4]],Tqresult[nres][resultmodel[nres][k4]]); */
          }
+         strcpy(gplotlabel+strlen(gplotlabel),")");
          fprintf(ficgp,"\n#\n");
          if(invalidvarcomb[k1]){
            fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1);
- Line 7031  set ter svg size 640, 480\nunset log y\n
+ Line 8422  set ter svg size 640, 480\nunset log y\n
          }
          fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"PB_"),cpt,k1,nres);
+         fprintf(ficgp,"set label \"Origin alive state %d %s\" at graph 0.98,0.5 center rotate font \"Helvetica,12\"\n",cpt,gplotlabel);
          fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \n\
  set ter svg size 640, 480\nunset log y\nplot [%.f:%.f]  ", ageminpar, agemaxpar);
          k=3; /* Offset */
-         for (i=1; i<= nlstate ; i ++){ /* State of origin */
+         for (i=1; i<= nlstate ; i ++){ /* State of arrival */
            if(i==1)
              fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJB_"));
            else
              fprintf(ficgp,", '' ");
            /* l=(nlstate+ndeath)*(i-1)+1; */
            l=(nlstate+ndeath)*(cpt-1)+1; /* fixed for i; cpt=1 1, cpt=2 1+ nlstate+ndeath, 1+2*(nlstate+ndeath) */
-           /* fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l); /\* a vérifier *\/ */
+           /* fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l); /\* a vérifier *\/ */
-           /* fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l+(cpt-1)+i-1); /\* a vérifier *\/ */
+           /* fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l+(cpt-1)+i-1); /\* a vérifier *\/ */
            fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d",k1,k+l+i-1); /* To be verified */
            /* for (j=2; j<= nlstate ; j ++) */
            /*    fprintf(ficgp,"+$%d",k+l+j-1); */
            /*    /\* fprintf(ficgp,"+$%d",k+l+j-1); *\/ */
-           fprintf(ficgp,") t \"bprev(%d,%d)\" w l",i,cpt);
+           fprintf(ficgp,") t \"bprev(%d,%d)\" w l",cpt,i);
          } /* nlstate */
-         fprintf(ficgp,"\nset out\n");
+         fprintf(ficgp,"\nset out; unset label;\n");
        } /* end cpt state*/
      } /* end covariate */
-   } /* End if backcast */
+   } /* End if prevbcast */
    /* 8eme */
    if(prevfcast==1){
-     /* Projection from cross-sectional to stable (period) for each covariate */
+     /* Projection from cross-sectional to forward stable (period) prevalence for each covariate */
-     for (k1=1; k1<= m ; k1 ++) /* For each covariate combination if any */
+     /* for (k1=1; k1<= m ; k1 ++) /\* For each covariate combination if any *\/ */
      for(nres=1; nres <= nresult; nres++){ /* For each resultline */
-       if(m != 1 && TKresult[nres]!= k1)
+       k1=TKresult[nres];
-         continue;
+       /* if(m != 1 && TKresult[nres]!= k1) */
+       /*        continue; */
        for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state */
-         fprintf(ficgp,"\n#\n#\n#Projection of prevalence to stable (period): 'PROJ_' files, covariatecombination#=%d state=%d",k1, cpt);
+         strcpy(gplotlabel,"(");
-         for (k=1; k<=cptcoveff; k++){    /* For each correspondig covariate value  */
+         fprintf(ficgp,"\n#\n#\n#Projection of prevalence to forward stable prevalence (period): 'PROJ_' files, covariatecombination#=%d state=%d",k1, cpt);
-           lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to k1 combination and kth covariate */
+         for (k=1; k<=cptcovs; k++){    /* For each covariate k get corresponding value lv for combination k1 */
-           /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
+           fprintf(ficgp," V%d=%lg ",Tvresult[nres][k],TinvDoQresult[nres][Tvresult[nres][k]]);
-           /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
+           sprintf(gplotlabel+strlen(gplotlabel)," V%d=%lg ",Tvresult[nres][k],TinvDoQresult[nres][Tvresult[nres][k]]);
-           /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
+         /* for (k=1; k<=cptcoveff; k++){    /\* For each correspondig covariate value  *\/ */
-           vlv= nbcode[Tvaraff[k]][lv];
+         /*   /\* lv= decodtabm(k1,k,cptcoveff); /\\* Should be the covariate value corresponding to k1 combination and kth covariate *\\/ *\/ */
-           fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
+         /*   lv=codtabm(k1,TnsdVar[Tvaraff[k]]); */
-         }
+         /*   /\* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 *\/ */
-         for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
+         /*   /\* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 *\/ */
-           fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
+         /*   /\* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 *\/ */
+         /*   /\* vlv= nbcode[Tvaraff[k]][lv]; *\/ */
+         /*   vlv= nbcode[Tvaraff[k]][codtabm(k1,TnsdVar[Tvaraff[k]])]; */
+         /*   fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv); */
+         /*   sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv); */
+         /* } */
+         /* for (k4=1; k4<= nsq; k4++){ /\* For each selected (single) quantitative value *\/ */
+         /*   fprintf(ficgp," V%d=%f ",Tvqresult[nres][resultmodel[nres][k4]],Tqresult[nres][resultmodel[nres][k4]]); */
+         /*   sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][resultmodel[nres][k4]],Tqresult[nres][resultmodel[nres][k4]]); */
          }
+         strcpy(gplotlabel+strlen(gplotlabel),")");
          fprintf(ficgp,"\n#\n");
          if(invalidvarcomb[k1]){
            fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1);
- Line 7083  set ter svg size 640, 480\nunset log y\n
+ Line 8485  set ter svg size 640, 480\nunset log y\n
          fprintf(ficgp,"# hpijx=probability over h years, hp.jx is weighted by observed prev\n ");
          fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"PROJ_"),cpt,k1,nres);
+         fprintf(ficgp,"set label \"Alive state %d %s\" at graph 0.98,0.5 center rotate font \"Helvetica,12\"\n",cpt,gplotlabel);
          fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Prevalence\" \n\
  set ter svg size 640, 480\nunset log y\nplot [%.f:%.f]  ", ageminpar, agemaxpar);
-         for (i=1; i<= nlstate+1 ; i ++){  /* nlstate +1 p11 p21 p.1 */
+         /* for (i=1; i<= nlstate+1 ; i ++){  /\* nlstate +1 p11 p21 p.1 *\/ */
+         istart=nlstate+1; /* Could be one if by state, but nlstate+1 is w.i projection only */
+         /*istart=1;*/ /* Could be one if by state, but nlstate+1 is w.i projection only */
+         for (i=istart; i<= nlstate+1 ; i ++){  /* nlstate +1 p11 p21 p.1 */
            /*#  V1  = 1  V2 =  0 yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
            /*#   1    2   3    4    5      6  7   8   9   10   11 12  13   14  15 */
            /*# yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
            /*#   1       2   3    4    5      6  7   8   9   10   11 12  13   14  15 */
-           if(i==1){
+           if(i==istart){
              fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"F_"));
            }else{
              fprintf(ficgp,",\\\n '' ");
- Line 7102  set ter svg size 640, 480\nunset log y\n
+ Line 8509  set ter svg size 640, 480\nunset log y\n
              /*# V1  = 1 yearproj age p11 p21 p31 p.1 p12 p22 p32 p.2 p13 p23 p33 p.3 p14 p24 p34 p.4*/
              /*#  1    2        3   4   5  6    7  8   9   10  11  12  13  14  15  16  17  18 */
              fprintf(ficgp," u %d:(", ioffset);
-             if(i==nlstate+1)
+             if(i==nlstate+1){
-               fprintf(ficgp," $%d/(1.-$%d)) t 'pw.%d' with line ",      \
+               fprintf(ficgp," $%d/(1.-$%d)):1 t 'pw.%d' with line lc variable ",        \
                        ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate,cpt );
-             else
+               fprintf(ficgp,",\\\n '' ");
+               fprintf(ficgp," u %d:(",ioffset);
+               fprintf(ficgp," (($1-$2) == %d ) ? $%d/(1.-$%d) : 1/0):1 with labels center not ", \
+                      offyear,                           \
+                       ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate );
+             }else
                fprintf(ficgp," $%d/(1.-$%d)) t 'p%d%d' with line ",      \
                        ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate,i,cpt );
            }else{ /* more than 2 covariates */
-             if(cptcoveff ==1){
+             ioffset=2*cptcoveff+2; /* Age is in 4 or 6 or etc.*/
-               ioffset=4; /* Age is in 4 */
+             /*#  V1  = 1  V2 =  0 yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
-             }else{
+             /*#   1    2   3    4    5      6  7   8   9   10   11 12  13   14  15 */
-               ioffset=6; /* Age is in 6 */
+             iyearc=ioffset-1;
-               /*#  V1  = 1  V2 =  0 yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
+             iagec=ioffset;
-               /*#   1    2   3    4    5      6  7   8   9   10   11 12  13   14  15 */
-             }
              fprintf(ficgp," u %d:(",ioffset);
              kl=0;
              strcpy(gplotcondition,"(");
              for (k=1; k<=cptcoveff; k++){    /* For each covariate writing the chain of conditions */
-               lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to combination k1 and covariate k */
+               /* lv= decodtabm(k1,k,cptcoveff); /\* Should be the covariate value corresponding to combination k1 and covariate k *\/ */
+               lv=codtabm(k1,TnsdVar[Tvaraff[k]]);
                /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
-               vlv= nbcode[Tvaraff[k]][lv]; /* Value of the modality of Tvaraff[k] */
+               /* vlv= nbcode[Tvaraff[k]][lv]; /\* Value of the modality of Tvaraff[k] *\/ */
+               vlv= nbcode[Tvaraff[k]][codtabm(k1,TnsdVar[Tvaraff[k]])];
                kl++;
                sprintf(gplotcondition+strlen(gplotcondition),"$%d==%d && $%d==%d " ,kl,Tvaraff[k], kl+1, nbcode[Tvaraff[k]][lv]);
                kl++;
- Line 7137  set ter svg size 640, 480\nunset log y\n
+ Line 8549  set ter svg size 640, 480\nunset log y\n
              /*6+1+(i-1)+(nlstate+1)*nlstate; 6+1+(1-1) +(2+1)*2=13 */
              /* ''  u 6:(($1==1 && $2==0 && $3==2 && $4==0)? $9/(1.-$15) : 1/0):($5==2000? 3:2) t 'p.1' with line lc variable*/
              if(i==nlstate+1){
-               fprintf(ficgp,"%s ? $%d/(1.-$%d) : 1/0) t 'p.%d' with line ", gplotcondition, \
+               fprintf(ficgp,"%s ? $%d/(1.-$%d) : 1/0):%d t 'p.%d' with line lc variable", gplotcondition, \
-                       ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate,cpt );
+                       ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate,iyearc, cpt );
+               fprintf(ficgp,",\\\n '' ");
+               fprintf(ficgp," u %d:(",iagec);
+               fprintf(ficgp,"%s && (($%d-$%d) == %d ) ? $%d/(1.-$%d) : 1/0):%d with labels center not ", gplotcondition, \
+                       iyearc, iagec, offyear,                           \
+                       ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate, iyearc );
+ /*  '' u 6:(($1==1 && $2==0  && $3==2 && $4==0) && (($5-$6) == 1947) ? $10/(1.-$22) : 1/0):5 with labels center boxed not*/
              }else{
                fprintf(ficgp,"%s ? $%d/(1.-$%d) : 1/0) t 'p%d%d' with line ", gplotcondition, \
                        ioffset+(cpt-1)*(nlstate+1)+1+(i-1), ioffset +1+(i-1)+(nlstate+1)*nlstate,i,cpt );
              }
            } /* end if covariate */
          } /* nlstate */
-         fprintf(ficgp,"\nset out\n");
+         fprintf(ficgp,"\nset out; unset label;\n");
        } /* end cpt state*/
      } /* end covariate */
    } /* End if prevfcast */
+   if(prevbcast==1){
-   /* 9eme writing MLE parameters */
+     /* Back projection from cross-sectional to stable (mixed) for each covariate */
-   fprintf(ficgp,"\n##############\n#9eme MLE estimated parameters\n#############\n");
-   for(i=1,jk=1; i <=nlstate; i++){
+     /* for (k1=1; k1<= m ; k1 ++) /\* For each covariate combination if any *\/ */
-     fprintf(ficgp,"# initial state %d\n",i);
-     for(k=1; k <=(nlstate+ndeath); k++){
-       if (k != i) {
-         fprintf(ficgp,"#   current state %d\n",k);
-         for(j=1; j <=ncovmodel; j++){
-           fprintf(ficgp,"p%d=%f; ",jk,p[jk]);
-           jk++;
-         }
-         fprintf(ficgp,"\n");
-       }
-     }
-   }
-   fprintf(ficgp,"##############\n#\n");
-   /*goto avoid;*/
-   /* 10eme Graphics of probabilities or incidences using written MLE parameters */
-   fprintf(ficgp,"\n##############\n#10eme Graphics of probabilities or incidences\n#############\n");
-   fprintf(ficgp,"# logi(p12/p11)=a12+b12*age+c12age*age+d12*V1+e12*V1*age\n");
-   fprintf(ficgp,"# logi(p12/p11)=p1 +p2*age +p3*age*age+ p4*V1+ p5*V1*age\n");
-   fprintf(ficgp,"# logi(p13/p11)=a13+b13*age+c13age*age+d13*V1+e13*V1*age\n");
-   fprintf(ficgp,"# logi(p13/p11)=p6 +p7*age +p8*age*age+ p9*V1+ p10*V1*age\n");
-   fprintf(ficgp,"# p12+p13+p14+p11=1=p11(1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
-   fprintf(ficgp,"#                      +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age)+...)\n");
-   fprintf(ficgp,"# p11=1/(1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
-   fprintf(ficgp,"#                      +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age)+...)\n");
-   fprintf(ficgp,"# p12=exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)/\n");
-   fprintf(ficgp,"#     (1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
-   fprintf(ficgp,"#       +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age))\n");
-   fprintf(ficgp,"#       +exp(a14+b14*age+c14age*age+d14*V1+e14*V1*age)+...)\n");
-   fprintf(ficgp,"#\n");
-   for(ng=1; ng<=3;ng++){ /* Number of graphics: first is logit, 2nd is probabilities, third is incidences per year*/
-     fprintf(ficgp,"#Number of graphics: first is logit, 2nd is probabilities, third is incidences per year\n");
-     fprintf(ficgp,"#model=%s \n",model);
-     fprintf(ficgp,"# Type of graphic ng=%d\n",ng);
-     fprintf(ficgp,"#   jk=1 to 2^%d=%d\n",cptcoveff,m);/* to be checked */
-     for(jk=1; jk <=m; jk++)  /* For each combination of covariate */
      for(nres=1; nres <= nresult; nres++){ /* For each resultline */
-       if(m != 1 && TKresult[nres]!= jk)
+      k1=TKresult[nres];
-         continue;
+        /* if(m != 1 && TKresult[nres]!= k1) */
-       fprintf(ficgp,"# Combination of dummy  jk=%d and ",jk);
+        /*       continue; */
-       for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
+       for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state */
-         fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
+         strcpy(gplotlabel,"(");
-       }
+         fprintf(ficgp,"\n#\n#\n#Back projection of prevalence to stable (mixed) back prevalence: 'BPROJ_' files, covariatecombination#=%d originstate=%d",k1, cpt);
-       fprintf(ficgp,"\n#\n");
+         for (k=1; k<=cptcovs; k++){    /* For each covariate k get corresponding value lv for combination k1 */
-       fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" ",subdirf2(optionfilefiname,"PE_"),jk,ng,nres);
+           fprintf(ficgp," V%d=%lg ",Tvresult[nres][k],TinvDoQresult[nres][Tvresult[nres][k]]);
+           sprintf(gplotlabel+strlen(gplotlabel)," V%d=%lg ",Tvresult[nres][k],TinvDoQresult[nres][Tvresult[nres][k]]);
+         /* for (k=1; k<=cptcoveff; k++){    /\* For each correspondig covariate value  *\/ */
+         /*   /\* lv= decodtabm(k1,k,cptcoveff); /\\* Should be the covariate value corresponding to k1 combination and kth covariate *\\/ *\/ */
+         /*   lv= codtabm(k1,TnsdVar[Tvaraff[k]]); /\* Should be the covariate value corresponding to combination k1 and covariate k *\/ */
+         /*   /\* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 *\/ */
+         /*   /\* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 *\/ */
+         /*   /\* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 *\/ */
+         /*   /\* vlv= nbcode[Tvaraff[k]][lv]; *\/ */
+         /*   vlv= nbcode[Tvaraff[k]][codtabm(k1,TnsdVar[Tvaraff[k]])]; */
+         /*   fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv); */
+         /*   sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv); */
+         /* } */
+         /* for (k4=1; k4<= nsq; k4++){ /\* For each selected (single) quantitative value *\/ */
+         /*   fprintf(ficgp," V%d=%f ",Tvqresult[nres][resultmodel[nres][k4]],Tqresult[nres][resultmodel[nres][k4]]); */
+         /*   sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][resultmodel[nres][k4]],Tqresult[nres][resultmodel[nres][k4]]); */
+         }
+         strcpy(gplotlabel+strlen(gplotlabel),")");
+         fprintf(ficgp,"\n#\n");
+         if(invalidvarcomb[k1]){
+           fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1);
+           continue;
+         }
+         fprintf(ficgp,"# hbijx=backprobability over h years, hb.jx is weighted by observed prev at destination state\n ");
+         fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"PROJB_"),cpt,k1,nres);
+         fprintf(ficgp,"set label \"Origin alive state %d %s\" at graph 0.98,0.5 center rotate font \"Helvetica,12\"\n",cpt,gplotlabel);
+         fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Prevalence\" \n\
+ set ter svg size 640, 480\nunset log y\nplot [%.f:%.f]  ", ageminpar, agemaxpar);
+         /* for (i=1; i<= nlstate+1 ; i ++){  /\* nlstate +1 p11 p21 p.1 *\/ */
+         istart=nlstate+1; /* Could be one if by state, but nlstate+1 is w.i projection only */
+         /*istart=1;*/ /* Could be one if by state, but nlstate+1 is w.i projection only */
+         for (i=istart; i<= nlstate+1 ; i ++){  /* nlstate +1 p11 p21 p.1 */
+           /*#  V1  = 1  V2 =  0 yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
+           /*#   1    2   3    4    5      6  7   8   9   10   11 12  13   14  15 */
+           /*# yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
+           /*#   1       2   3    4    5      6  7   8   9   10   11 12  13   14  15 */
+           if(i==istart){
+             fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"FB_"));
+           }else{
+             fprintf(ficgp,",\\\n '' ");
+           }
+           if(cptcoveff ==0){ /* No covariate */
+             ioffset=2; /* Age is in 2 */
+             /*# yearproj age p11 p21 p31 p.1 p12 p22 p32 p.2 p13 p23 p33 p.3 p14 p24 p34 p.4*/
+             /*#   1       2   3   4   5  6    7  8   9   10  11  12  13  14  15  16  17  18 */
+             /*# V1  = 1 yearproj age p11 p21 p31 p.1 p12 p22 p32 p.2 p13 p23 p33 p.3 p14 p24 p34 p.4*/
+             /*#  1    2        3   4   5  6    7  8   9   10  11  12  13  14  15  16  17  18 */
+             fprintf(ficgp," u %d:(", ioffset);
+             if(i==nlstate+1){
+               fprintf(ficgp," $%d/(1.-$%d)):1 t 'bw%d' with line lc variable ", \
+                       ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate,cpt );
+               fprintf(ficgp,",\\\n '' ");
+               fprintf(ficgp," u %d:(",ioffset);
+               fprintf(ficgp," (($1-$2) == %d ) ? $%d : 1/0):1 with labels center not ", \
+                      offbyear,                          \
+                       ioffset+(cpt-1)*(nlstate+1)+1+(i-1) );
+             }else
+               fprintf(ficgp," $%d/(1.-$%d)) t 'b%d%d' with line ",      \
+                       ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate,cpt,i );
+           }else{ /* more than 2 covariates */
+             ioffset=2*cptcoveff+2; /* Age is in 4 or 6 or etc.*/
+             /*#  V1  = 1  V2 =  0 yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
+             /*#   1    2   3    4    5      6  7   8   9   10   11 12  13   14  15 */
+             iyearc=ioffset-1;
+             iagec=ioffset;
+             fprintf(ficgp," u %d:(",ioffset);
+             kl=0;
+             strcpy(gplotcondition,"(");
+             for (k=1; k<=cptcovs; k++){    /* For each covariate k of the resultline, get corresponding value lv for combination k1 */
+               if(Dummy[Tvresult[nres][k]]==0){  /* To be verified */
+                 /* for (k=1; k<=cptcoveff; k++){    /\* For each covariate writing the chain of conditions *\/ */
+                 /* lv= decodtabm(k1,k,cptcoveff); /\* Should be the covariate value corresponding to combination k1 and covariate k *\/ */
+                 /* lv= codtabm(k1,TnsdVar[Tvaraff[k]]); /\* Should be the covariate value corresponding to combination k1 and covariate k *\/ */
+                 lv=Tvresult[nres][k];
+                 vlv=TinvDoQresult[nres][Tvresult[nres][k]];
+                 /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
+                 /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
+                 /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
+                 /* vlv= nbcode[Tvaraff[k]][lv]; /\* Value of the modality of Tvaraff[k] *\/ */
+                 /* vlv= nbcode[Tvaraff[k]][codtabm(k1,TnsdVar[Tvaraff[k]])]; */
+                 kl++;
+                 /* sprintf(gplotcondition+strlen(gplotcondition),"$%d==%d && $%d==%d " ,kl,Tvaraff[k], kl+1, nbcode[Tvaraff[k]][lv]); */
+                 sprintf(gplotcondition+strlen(gplotcondition),"$%d==%d && $%d==%lg " ,kl,Tvresult[nres][k], kl+1,TinvDoQresult[nres][Tvresult[nres][k]]);
+                 kl++;
+                 if(k <cptcoveff && cptcoveff>1)
+                   sprintf(gplotcondition+strlen(gplotcondition)," && ");
+               }
+             }
+             strcpy(gplotcondition+strlen(gplotcondition),")");
+             /* kl=6+(cpt-1)*(nlstate+1)+1+(i-1); /\* 6+(1-1)*(2+1)+1+(1-1)=7, 6+(2-1)(2+1)+1+(1-1)=10 *\/ */
+             /*6+(cpt-1)*(nlstate+1)+1+(i-1)+(nlstate+1)*nlstate; 6+(1-1)*(2+1)+1+(1-1) +(2+1)*2=13 */
+             /*6+1+(i-1)+(nlstate+1)*nlstate; 6+1+(1-1) +(2+1)*2=13 */
+             /* ''  u 6:(($1==1 && $2==0 && $3==2 && $4==0)? $9/(1.-$15) : 1/0):($5==2000? 3:2) t 'p.1' with line lc variable*/
+             if(i==nlstate+1){
+               fprintf(ficgp,"%s ? $%d : 1/0):%d t 'bw%d' with line lc variable", gplotcondition, \
+                       ioffset+(cpt-1)*(nlstate+1)+1+(i-1),iyearc,cpt );
+               fprintf(ficgp,",\\\n '' ");
+               fprintf(ficgp," u %d:(",iagec);
+               /* fprintf(ficgp,"%s && (($5-$6) == %d ) ? $%d/(1.-$%d) : 1/0):5 with labels center not ", gplotcondition, \ */
+               fprintf(ficgp,"%s && (($%d-$%d) == %d ) ? $%d : 1/0):%d with labels center not ", gplotcondition, \
+                       iyearc,iagec,offbyear,                            \
+                       ioffset+(cpt-1)*(nlstate+1)+1+(i-1), iyearc );
+ /*  '' u 6:(($1==1 && $2==0  && $3==2 && $4==0) && (($5-$6) == 1947) ? $10/(1.-$22) : 1/0):5 with labels center boxed not*/
+             }else{
+               /* fprintf(ficgp,"%s ? $%d/(1.-$%d) : 1/0) t 'p%d%d' with line ", gplotcondition, \ */
+               fprintf(ficgp,"%s ? $%d : 1/0) t 'b%d%d' with line ", gplotcondition, \
+                       ioffset+(cpt-1)*(nlstate+1)+1+(i-1), cpt,i );
+             }
+           } /* end if covariate */
+         } /* nlstate */
+         fprintf(ficgp,"\nset out; unset label;\n");
+       } /* end cpt state*/
+     } /* end covariate */
+   } /* End if prevbcast */
+   /* 9eme writing MLE parameters */
+   fprintf(ficgp,"\n##############\n#9eme MLE estimated parameters\n#############\n");
+   for(i=1,jk=1; i <=nlstate; i++){
+     fprintf(ficgp,"# initial state %d\n",i);
+     for(k=1; k <=(nlstate+ndeath); k++){
+       if (k != i) {
+         fprintf(ficgp,"#   current state %d\n",k);
+         for(j=1; j <=ncovmodel; j++){
+           fprintf(ficgp,"p%d=%f; ",jk,p[jk]);
+           jk++;
+         }
+         fprintf(ficgp,"\n");
+       }
+     }
+   }
+   fprintf(ficgp,"##############\n#\n");
+   /*goto avoid;*/
+   /* 10eme Graphics of probabilities or incidences using written MLE parameters */
+   fprintf(ficgp,"\n##############\n#10eme Graphics of probabilities or incidences\n#############\n");
+   fprintf(ficgp,"# logi(p12/p11)=a12+b12*age+c12age*age+d12*V1+e12*V1*age\n");
+   fprintf(ficgp,"# logi(p12/p11)=p1 +p2*age +p3*age*age+ p4*V1+ p5*V1*age\n");
+   fprintf(ficgp,"# logi(p13/p11)=a13+b13*age+c13age*age+d13*V1+e13*V1*age\n");
+   fprintf(ficgp,"# logi(p13/p11)=p6 +p7*age +p8*age*age+ p9*V1+ p10*V1*age\n");
+   fprintf(ficgp,"# p12+p13+p14+p11=1=p11(1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
+   fprintf(ficgp,"#                      +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age)+...)\n");
+   fprintf(ficgp,"# p11=1/(1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
+   fprintf(ficgp,"#                      +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age)+...)\n");
+   fprintf(ficgp,"# p12=exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)/\n");
+   fprintf(ficgp,"#     (1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
+   fprintf(ficgp,"#       +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age))\n");
+   fprintf(ficgp,"#       +exp(a14+b14*age+c14age*age+d14*V1+e14*V1*age)+...)\n");
+   fprintf(ficgp,"#\n");
+   for(ng=1; ng<=3;ng++){ /* Number of graphics: first is logit, 2nd is probabilities, third is incidences per year*/
+     fprintf(ficgp,"#Number of graphics: first is logit, 2nd is probabilities, third is incidences per year\n");
+     fprintf(ficgp,"#model=%s \n",model);
+     fprintf(ficgp,"# Type of graphic ng=%d\n",ng);
+     fprintf(ficgp,"#   k1=1 to 2^%d=%d\n",cptcoveff,m);/* to be checked */
+     /* for(k1=1; k1 <=m; k1++)  /\* For each combination of covariate *\/ */
+     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
+      /* k1=nres; */
+       k1= TKresult[nres];
+       fprintf(ficgp,"\n\n# Resultline k1=%d ",k1);
+       strcpy(gplotlabel,"(");
+       /*sprintf(gplotlabel+strlen(gplotlabel)," Dummy combination %d ",k1);*/
+       for (k=1; k<=cptcovs; k++){  /**< cptcovs number of SIMPLE covariates in the model V2+V1 =2 (dummy or quantit or time varying) */
+         /* for each resultline nres, and position k, Tvresult[nres][k] gives the name of the variable and
+            TinvDoQresult[nres][Tvresult[nres][k]] gives its value double or integer) */
+         fprintf(ficgp," V%d=%lg ",Tvresult[nres][k],TinvDoQresult[nres][Tvresult[nres][k]]);
+         sprintf(gplotlabel+strlen(gplotlabel)," V%d=%lg ",Tvresult[nres][k],TinvDoQresult[nres][Tvresult[nres][k]]);
+       }
+       /* if(m != 1 && TKresult[nres]!= k1) */
+       /*        continue; */
+       /* fprintf(ficgp,"\n\n# Combination of dummy  k1=%d which is ",k1); */
+       /* strcpy(gplotlabel,"("); */
+       /* /\*sprintf(gplotlabel+strlen(gplotlabel)," Dummy combination %d ",k1);*\/ */
+       /* for (k=1; k<=cptcoveff; k++){    /\* For each correspondig covariate value  *\/ */
+       /*        /\* lv= decodtabm(k1,k,cptcoveff); /\\* Should be the covariate value corresponding to k1 combination and kth covariate *\\/ *\/ */
+       /*        lv= codtabm(k1,TnsdVar[Tvaraff[k]]); /\* Should be the covariate value corresponding to combination k1 and covariate k *\/ */
+       /*        /\* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 *\/ */
+       /*        /\* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 *\/ */
+       /*        /\* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 *\/ */
+       /*        /\* vlv= nbcode[Tvaraff[k]][lv]; *\/ */
+       /*        vlv= nbcode[Tvaraff[k]][codtabm(k1,TnsdVar[Tvaraff[k]])]; */
+       /*        fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv); */
+       /*        sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv); */
+       /* } */
+       /* for (k4=1; k4<= nsq; k4++){ /\* For each selected (single) quantitative value *\/ */
+       /*        fprintf(ficgp," V%d=%f ",Tvqresult[nres][resultmodel[nres][k4]],Tqresult[nres][resultmodel[nres][k4]]); */
+       /*        sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][resultmodel[nres][k4]],Tqresult[nres][resultmodel[nres][k4]]); */
+       /* }       */
+       strcpy(gplotlabel+strlen(gplotlabel),")");
+       fprintf(ficgp,"\n#\n");
+       fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" ",subdirf2(optionfilefiname,"PE_"),k1,ng,nres);
+       fprintf(ficgp,"\nset key outside ");
+       /* fprintf(ficgp,"\nset label \"%s\" at graph 1.2,0.5 center rotate font \"Helvetica,12\"\n",gplotlabel); */
+       fprintf(ficgp,"\nset title \"%s\" font \"Helvetica,12\"\n",gplotlabel);
        fprintf(ficgp,"\nset ter svg size 640, 480 ");
        if (ng==1){
          fprintf(ficgp,"\nset ylabel \"Value of the logit of the model\"\n"); /* exp(a12+b12*x) could be nice */
- Line 7242  set ter svg size 640, 480\nunset log y\n
+ Line 8818  set ter svg size 640, 480\nunset log y\n
              /* for(j=3; j <=ncovmodel-nagesqr; j++) { */
              for(j=1; j <=cptcovt; j++) { /* For each covariate of the simplified model */
                /* printf("Tage[%d]=%d, j=%d\n", ij, Tage[ij], j); */
-               if(j==Tage[ij]) { /* Product by age */
+               switch(Typevar[j]){
-                 if(ij <=cptcovage) { /* V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1, 2 V5 and V1 */
+               case 1:
-                   if(DummyV[j]==0){
+                 if(cptcovage >0){ /* V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1, 2 V5 and V1 */
-                     fprintf(ficgp,"+p%d*%d*x",i+j+2+nagesqr-1,Tinvresult[nres][Tvar[j]]);;
+                   if(j==Tage[ij]) { /* Product by age  To be looked at!!*//* Bug valgrind */
-                   }else{ /* quantitative */
+                     if(ij <=cptcovage) { /* V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1, 2 V5 and V1 */
-                     fprintf(ficgp,"+p%d*%f*x",i+j+2+nagesqr-1,Tqinvresult[nres][Tvar[j]]); /* Tqinvresult in decoderesult */
+                       if(DummyV[j]==0){/* Bug valgrind */
-                     /* fprintf(ficgp,"+p%d*%d*x",i+j+nagesqr-1,nbcode[Tvar[j-2]][codtabm(jk,Tvar[j-2])]); */
+                         fprintf(ficgp,"+p%d*%d*x",i+j+2+nagesqr-1,Tinvresult[nres][Tvar[j]]);;
+                       }else{ /* quantitative */
+                         fprintf(ficgp,"+p%d*%f*x",i+j+2+nagesqr-1,Tqinvresult[nres][Tvar[j]]); /* Tqinvresult in decoderesult */
+                         /* fprintf(ficgp,"+p%d*%d*x",i+j+nagesqr-1,nbcode[Tvar[j-2]][codtabm(k1,Tvar[j-2])]); */
+                       }
+                       ij++;
+                     }
                    }
-                   ij++;
                  }
-               }else if(j==Tprod[ijp]) { /* */
+                 break;
-                 /* printf("Tprod[%d]=%d, j=%d\n", ij, Tprod[ijp], j); */
+               case 2:
-                 if(ijp <=cptcovprod) { /* Product */
+                 if(cptcovprod >0){
-                   if(DummyV[Tvard[ijp][1]]==0){/* Vn is dummy */
+                   if(j==Tprod[ijp]) { /* */
-                     if(DummyV[Tvard[ijp][2]]==0){/* Vn and Vm are dummy */
+                     /* printf("Tprod[%d]=%d, j=%d\n", ij, Tprod[ijp], j); */
-                       /* fprintf(ficgp,"+p%d*%d*%d",i+j+2+nagesqr-1,nbcode[Tvard[ijp][1]][codtabm(jk,j)],nbcode[Tvard[ijp][2]][codtabm(jk,j)]); */
+                     if(ijp <=cptcovprod) { /* Product */
-                       fprintf(ficgp,"+p%d*%d*%d",i+j+2+nagesqr-1,Tinvresult[nres][Tvard[ijp][1]],Tinvresult[nres][Tvard[ijp][2]]);
+                       if(DummyV[Tvard[ijp][1]]==0){/* Vn is dummy */
-                     }else{ /* Vn is dummy and Vm is quanti */
+                         if(DummyV[Tvard[ijp][2]]==0){/* Vn and Vm are dummy */
-                       /* fprintf(ficgp,"+p%d*%d*%f",i+j+2+nagesqr-1,nbcode[Tvard[ijp][1]][codtabm(jk,j)],Tqinvresult[nres][Tvard[ijp][2]]); */
+                           /* fprintf(ficgp,"+p%d*%d*%d",i+j+2+nagesqr-1,nbcode[Tvard[ijp][1]][codtabm(k1,j)],nbcode[Tvard[ijp][2]][codtabm(k1,j)]); */
-                       fprintf(ficgp,"+p%d*%d*%f",i+j+2+nagesqr-1,Tinvresult[nres][Tvard[ijp][1]],Tqinvresult[nres][Tvard[ijp][2]]);
+                           fprintf(ficgp,"+p%d*%d*%d",i+j+2+nagesqr-1,Tinvresult[nres][Tvard[ijp][1]],Tinvresult[nres][Tvard[ijp][2]]);
-                     }
+                         }else{ /* Vn is dummy and Vm is quanti */
-                   }else{ /* Vn*Vm Vn is quanti */
+                           /* fprintf(ficgp,"+p%d*%d*%f",i+j+2+nagesqr-1,nbcode[Tvard[ijp][1]][codtabm(k1,j)],Tqinvresult[nres][Tvard[ijp][2]]); */
-                     if(DummyV[Tvard[ijp][2]]==0){
+                           fprintf(ficgp,"+p%d*%d*%f",i+j+2+nagesqr-1,Tinvresult[nres][Tvard[ijp][1]],Tqinvresult[nres][Tvard[ijp][2]]);
-                       fprintf(ficgp,"+p%d*%d*%f",i+j+2+nagesqr-1,Tinvresult[nres][Tvard[ijp][2]],Tqinvresult[nres][Tvard[ijp][1]]);
+                         }
-                     }else{ /* Both quanti */
+                       }else{ /* Vn*Vm Vn is quanti */
-                       fprintf(ficgp,"+p%d*%f*%f",i+j+2+nagesqr-1,Tqinvresult[nres][Tvard[ijp][1]],Tqinvresult[nres][Tvard[ijp][2]]);
+                         if(DummyV[Tvard[ijp][2]]==0){
+                           fprintf(ficgp,"+p%d*%d*%f",i+j+2+nagesqr-1,Tinvresult[nres][Tvard[ijp][2]],Tqinvresult[nres][Tvard[ijp][1]]);
+                         }else{ /* Both quanti */
+                           fprintf(ficgp,"+p%d*%f*%f",i+j+2+nagesqr-1,Tqinvresult[nres][Tvard[ijp][1]],Tqinvresult[nres][Tvard[ijp][2]]);
+                         }
+                       }
+                       ijp++;
                      }
-                   }
+                   } /* end Tprod */
-                   ijp++;
+                 }
-                 }
+                 break;
-               } else{  /* simple covariate */
+               case 0:
-                 /* fprintf(ficgp,"+p%d*%d",i+j+2+nagesqr-1,nbcode[Tvar[j]][codtabm(jk,j)]); /\* Valgrind bug nbcode *\/ */
+                 /* simple covariate */
+                 /* fprintf(ficgp,"+p%d*%d",i+j+2+nagesqr-1,nbcode[Tvar[j]][codtabm(k1,j)]); /\* Valgrind bug nbcode *\/ */
                  if(Dummy[j]==0){
                    fprintf(ficgp,"+p%d*%d",i+j+2+nagesqr-1,Tinvresult[nres][Tvar[j]]); /*  */
                  }else{ /* quantitative */
                    fprintf(ficgp,"+p%d*%f",i+j+2+nagesqr-1,Tqinvresult[nres][Tvar[j]]); /* */
-                   /* fprintf(ficgp,"+p%d*%d*x",i+j+nagesqr-1,nbcode[Tvar[j-2]][codtabm(jk,Tvar[j-2])]); */
+                   /* fprintf(ficgp,"+p%d*%d*x",i+j+nagesqr-1,nbcode[Tvar[j-2]][codtabm(k1,Tvar[j-2])]); */
                  }
-               } /* end simple */
+                /* end simple */
+                 break;
+               default:
+                 break;
+               } /* end switch */
              } /* end j */
-           }else{
+           }else{ /* k=k2 */
-             i=i-ncovmodel;
+             if(ng !=1 ){ /* For logit formula of log p11 is more difficult to get */
-             if(ng !=1 ) /* For logit formula of log p11 is more difficult to get */
+               fprintf(ficgp," (1.");i=i-ncovmodel;
-               fprintf(ficgp," (1.");
+             }else
+               i=i-ncovmodel;
            }
            if(ng != 1){
              fprintf(ficgp,")/(1");
-             for(k1=1; k1 <=nlstate; k1++){
+             for(cpt=1; cpt <=nlstate; cpt++){
                if(nagesqr==0)
-                 fprintf(ficgp,"+exp(p%d+p%d*x",k3+(k1-1)*ncovmodel,k3+(k1-1)*ncovmodel+1);
+                 fprintf(ficgp,"+exp(p%d+p%d*x",k3+(cpt-1)*ncovmodel,k3+(cpt-1)*ncovmodel+1);
                else /* nagesqr =1 */
-                 fprintf(ficgp,"+exp(p%d+p%d*x+p%d*x*x",k3+(k1-1)*ncovmodel,k3+(k1-1)*ncovmodel+1,k3+(k1-1)*ncovmodel+1+nagesqr);
+                 fprintf(ficgp,"+exp(p%d+p%d*x+p%d*x*x",k3+(cpt-1)*ncovmodel,k3+(cpt-1)*ncovmodel+1,k3+(cpt-1)*ncovmodel+1+nagesqr);
                ij=1;
-               for(j=3; j <=ncovmodel-nagesqr; j++){
+               ijp=1;
-                 if((j-2)==Tage[ij]) { /* Bug valgrind */
+               /* for(j=3; j <=ncovmodel-nagesqr; j++){ */
-                   if(ij <=cptcovage) { /* Bug valgrind */
+               for(j=1; j <=cptcovt; j++) { /* For each covariate of the simplified model */
-                     fprintf(ficgp,"+p%d*%d*x",k3+(k1-1)*ncovmodel+1+j-2+nagesqr,nbcode[Tvar[j-2]][codtabm(jk,j-2)]);
+                 switch(Typevar[j]){
-                     /* fprintf(ficgp,"+p%d*%d*x",k3+(k1-1)*ncovmodel+1+j-2+nagesqr,nbcode[Tvar[j-2]][codtabm(jk,Tvar[j-2])]); */
+                 case 1:
-                     ij++;
+                   if(cptcovage >0){
+                     if(j==Tage[ij]) { /* Bug valgrind */
+                       if(ij <=cptcovage) { /* Bug valgrind */
+                         if(DummyV[j]==0){/* Bug valgrind */
+                           /* fprintf(ficgp,"+p%d*%d*x",k3+(cpt-1)*ncovmodel+1+j-2+nagesqr,nbcode[Tvar[j-2]][codtabm(k1,j-2)]); */
+                           /* fprintf(ficgp,"+p%d*%d*x",k3+(cpt-1)*ncovmodel+1+j+nagesqr,nbcode[Tvar[j]][codtabm(k1,j)]); */
+                           fprintf(ficgp,"+p%d*%d*x",k3+(cpt-1)*ncovmodel+1+j+nagesqr,Tinvresult[nres][Tvar[j]]);
+                           /* fprintf(ficgp,"+p%d*%d*x",i+j+2+nagesqr-1,Tinvresult[nres][Tvar[j]]);; */
+                           /* fprintf(ficgp,"+p%d*%d*x",k3+(cpt-1)*ncovmodel+1+j-2+nagesqr,nbcode[Tvar[j-2]][codtabm(k1,Tvar[j-2])]); */
+                         }else{ /* quantitative */
+                           /* fprintf(ficgp,"+p%d*%f*x",i+j+2+nagesqr-1,Tqinvresult[nres][Tvar[j]]); /\* Tqinvresult in decoderesult *\/ */
+                           fprintf(ficgp,"+p%d*%f*x",k3+(cpt-1)*ncovmodel+1+j+nagesqr,Tqinvresult[nres][Tvar[j]]); /* Tqinvresult in decoderesult */
+                           /* fprintf(ficgp,"+p%d*%f*x",i+j+2+nagesqr-1,Tqinvresult[nres][Tvar[j]]); /\* Tqinvresult in decoderesult *\/ */
+                           /* fprintf(ficgp,"+p%d*%d*x",i+j+nagesqr-1,nbcode[Tvar[j-2]][codtabm(k1,Tvar[j-2])]); */
+                         }
+                         ij++;
+                       }
+                     }
                    }
-                 }
+                   break;
-                 else
+                 case 2:
-                   fprintf(ficgp,"+p%d*%d",k3+(k1-1)*ncovmodel+1+j-2+nagesqr,nbcode[Tvar[j-2]][codtabm(jk,j-2)]);/* Valgrind bug nbcode */
+                   if(cptcovprod >0){
+                     if(j==Tprod[ijp]) { /* */
+                       /* printf("Tprod[%d]=%d, j=%d\n", ij, Tprod[ijp], j); */
+                       if(ijp <=cptcovprod) { /* Product */
+                         if(DummyV[Tvard[ijp][1]]==0){/* Vn is dummy */
+                           if(DummyV[Tvard[ijp][2]]==0){/* Vn and Vm are dummy */
+                             /* fprintf(ficgp,"+p%d*%d*%d",i+j+2+nagesqr-1,nbcode[Tvard[ijp][1]][codtabm(k1,j)],nbcode[Tvard[ijp][2]][codtabm(k1,j)]); */
+                             fprintf(ficgp,"+p%d*%d*%d",k3+(cpt-1)*ncovmodel+1+j+nagesqr,Tinvresult[nres][Tvard[ijp][1]],Tinvresult[nres][Tvard[ijp][2]]);
+                             /* fprintf(ficgp,"+p%d*%d*%d",i+j+2+nagesqr-1,Tinvresult[nres][Tvard[ijp][1]],Tinvresult[nres][Tvard[ijp][2]]); */
+                           }else{ /* Vn is dummy and Vm is quanti */
+                             /* fprintf(ficgp,"+p%d*%d*%f",i+j+2+nagesqr-1,nbcode[Tvard[ijp][1]][codtabm(k1,j)],Tqinvresult[nres][Tvard[ijp][2]]); */
+                             fprintf(ficgp,"+p%d*%d*%f",k3+(cpt-1)*ncovmodel+1+j+nagesqr,Tinvresult[nres][Tvard[ijp][1]],Tqinvresult[nres][Tvard[ijp][2]]);
+                             /* fprintf(ficgp,"+p%d*%d*%f",i+j+2+nagesqr-1,Tinvresult[nres][Tvard[ijp][1]],Tqinvresult[nres][Tvard[ijp][2]]); */
+                           }
+                         }else{ /* Vn*Vm Vn is quanti */
+                           if(DummyV[Tvard[ijp][2]]==0){
+                             fprintf(ficgp,"+p%d*%d*%f",k3+(cpt-1)*ncovmodel+1+j+nagesqr,Tinvresult[nres][Tvard[ijp][2]],Tqinvresult[nres][Tvard[ijp][1]]);
+                             /* fprintf(ficgp,"+p%d*%d*%f",i+j+2+nagesqr-1,Tinvresult[nres][Tvard[ijp][2]],Tqinvresult[nres][Tvard[ijp][1]]); */
+                           }else{ /* Both quanti */
+                             fprintf(ficgp,"+p%d*%f*%f",k3+(cpt-1)*ncovmodel+1+j+nagesqr,Tqinvresult[nres][Tvard[ijp][1]],Tqinvresult[nres][Tvard[ijp][2]]);
+                             /* fprintf(ficgp,"+p%d*%f*%f",i+j+2+nagesqr-1,Tqinvresult[nres][Tvard[ijp][1]],Tqinvresult[nres][Tvard[ijp][2]]); */
+                           }
+                         }
+                         ijp++;
+                       }
+                     } /* end Tprod */
+                   } /* end if */
+                   break;
+                 case 0:
+                   /* simple covariate */
+                   /* fprintf(ficgp,"+p%d*%d",i+j+2+nagesqr-1,nbcode[Tvar[j]][codtabm(k1,j)]); /\* Valgrind bug nbcode *\/ */
+                   if(Dummy[j]==0){
+                     /* fprintf(ficgp,"+p%d*%d",i+j+2+nagesqr-1,Tinvresult[nres][Tvar[j]]); /\*  *\/ */
+                     fprintf(ficgp,"+p%d*%d",k3+(cpt-1)*ncovmodel+1+j+nagesqr,Tinvresult[nres][Tvar[j]]); /*  */
+                     /* fprintf(ficgp,"+p%d*%d",i+j+2+nagesqr-1,Tinvresult[nres][Tvar[j]]); /\*  *\/ */
+                   }else{ /* quantitative */
+                     fprintf(ficgp,"+p%d*%f",k3+(cpt-1)*ncovmodel+1+j+nagesqr,Tqinvresult[nres][Tvar[j]]); /* */
+                     /* fprintf(ficgp,"+p%d*%f",i+j+2+nagesqr-1,Tqinvresult[nres][Tvar[j]]); /\* *\/ */
+                     /* fprintf(ficgp,"+p%d*%d*x",i+j+nagesqr-1,nbcode[Tvar[j-2]][codtabm(k1,Tvar[j-2])]); */
+                   }
+                   /* end simple */
+                   /* fprintf(ficgp,"+p%d*%d",k3+(cpt-1)*ncovmodel+1+j-2+nagesqr,nbcode[Tvar[j-2]][codtabm(k1,j-2)]);/\* Valgrind bug nbcode *\/ */
+                   break;
+                 default:
+                   break;
+                 } /* end switch */
                }
                fprintf(ficgp,")");
              }
              fprintf(ficgp,")");
              if(ng ==2)
-               fprintf(ficgp," t \"p%d%d\" ", k2,k);
+               fprintf(ficgp," w l lw 2 lt (%d*%d+%d)%%%d+1 dt %d t \"p%d%d\" ", nlstate+ndeath, k2, k, nlstate+ndeath, k2, k2,k);
              else /* ng= 3 */
-               fprintf(ficgp," t \"i%d%d\" ", k2,k);
+               fprintf(ficgp," w l lw 2 lt (%d*%d+%d)%%%d+1 dt %d t \"i%d%d\" ",  nlstate+ndeath, k2, k, nlstate+ndeath, k2, k2,k);
            }else{ /* end ng <> 1 */
              if( k !=k2) /* logit p11 is hard to draw */
-               fprintf(ficgp," t \"logit(p%d%d)\" ", k2,k);
+               fprintf(ficgp," w l lw 2 lt (%d*%d+%d)%%%d+1 dt %d t \"logit(p%d%d)\" ",  nlstate+ndeath, k2, k, nlstate+ndeath, k2, k2,k);
            }
            if ((k+k2)!= (nlstate*2+ndeath) && ng != 1)
              fprintf(ficgp,",");
- Line 7327  set ter svg size 640, 480\nunset log y\n
+ Line 8982  set ter svg size 640, 480\nunset log y\n
            i=i+ncovmodel;
          } /* end k */
        } /* end k2 */
-       fprintf(ficgp,"\n set out\n");
+       /* fprintf(ficgp,"\n set out; unset label;set key default;\n"); */
-     } /* end jk */
+       fprintf(ficgp,"\n set out; unset title;set key default;\n");
+     } /* end resultline */
    } /* end ng */
    /* avoid: */
    fflush(ficgp);
- Line 7343  set ter svg size 640, 480\nunset log y\n
+ Line 8999  set ter svg size 640, 480\nunset log y\n
     int modcovmax =1;
     int mobilavrange, mob;
     int iage=0;
+    int firstA1=0, firstA2=0;
-    double sum=0.;
+    double sum=0., sumr=0.;
     double age;
-    double *sumnewp, *sumnewm;
+    double *sumnewp, *sumnewm, *sumnewmr;
-    double *agemingood, *agemaxgood; /* Currently identical for all covariates */
+    double *agemingood, *agemaxgood;
+    double *agemingoodr, *agemaxgoodr;
-    /* modcovmax=2*cptcoveff;/\* Max number of modalities. We suppose  */
+    /* modcovmax=2*cptcoveff;  Max number of modalities. We suppose  */
-    /*              a covariate has 2 modalities, should be equal to ncovcombmax  *\/ */
+    /*              a covariate has 2 modalities, should be equal to ncovcombmax   */
     sumnewp = vector(1,ncovcombmax);
     sumnewm = vector(1,ncovcombmax);
+    sumnewmr = vector(1,ncovcombmax);
     agemingood = vector(1,ncovcombmax);
+    agemingoodr = vector(1,ncovcombmax);
     agemaxgood = vector(1,ncovcombmax);
+    agemaxgoodr = vector(1,ncovcombmax);
     for (cptcod=1;cptcod<=ncovcombmax;cptcod++){
-      sumnewm[cptcod]=0.;
+      sumnewm[cptcod]=0.; sumnewmr[cptcod]=0.;
       sumnewp[cptcod]=0.;
-      agemingood[cptcod]=0;
+      agemingood[cptcod]=0, agemingoodr[cptcod]=0;
-      agemaxgood[cptcod]=0;
+      agemaxgood[cptcod]=0, agemaxgoodr[cptcod]=0;
     }
     if (cptcovn<1) ncovcombmax=1; /* At least 1 pass */
-    if(mobilav==1||mobilav ==3 ||mobilav==5 ||mobilav== 7){
+    if(mobilav==-1 || mobilav==1||mobilav ==3 ||mobilav==5 ||mobilav== 7){
-      if(mobilav==1) mobilavrange=5; /* default */
+      if(mobilav==1 || mobilav==-1) mobilavrange=5; /* default */
       else mobilavrange=mobilav;
       for (age=bage; age<=fage; age++)
         for (i=1; i<=nlstate;i++)
- Line 7379  set ter svg size 640, 480\nunset log y\n
+ Line 9040  set ter svg size 640, 480\nunset log y\n
       */
       for (mob=3;mob <=mobilavrange;mob=mob+2){
         for (age=bage+(mob-1)/2; age<=fage-(mob-1)/2; age++){
-          for (i=1; i<=nlstate;i++){
+          for (cptcod=1;cptcod<=ncovcombmax;cptcod++){
-            for (cptcod=1;cptcod<=ncovcombmax;cptcod++){
+            sumnewm[cptcod]=0.;
+            for (i=1; i<=nlstate;i++){
               mobaverage[(int)age][i][cptcod] =probs[(int)age][i][cptcod];
               for (cpt=1;cpt<=(mob-1)/2;cpt++){
                 mobaverage[(int)age][i][cptcod] +=probs[(int)age-cpt][i][cptcod];
                 mobaverage[(int)age][i][cptcod] +=probs[(int)age+cpt][i][cptcod];
               }
               mobaverage[(int)age][i][cptcod]=mobaverage[(int)age][i][cptcod]/mob;
-            }
+              sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
-          }
+            } /* end i */
+            if(sumnewm[cptcod] >1.e-3) mobaverage[(int)age][i][cptcod]=mobaverage[(int)age][i][cptcod]/sumnewm[cptcod]; /* Rescaling to sum one */
+          } /* end cptcod */
         }/* end age */
       }/* end mob */
-    }else
+    }else{
+      printf("Error internal in movingaverage, mobilav=%d.\n",mobilav);
       return -1;
-    for (cptcod=1;cptcod<=ncovcombmax;cptcod++){
+    }
+    for (cptcod=1;cptcod<=ncovcombmax;cptcod++){ /* for each combination */
       /* for (age=bage+(mob-1)/2; age<=fage-(mob-1)/2; age++){ */
       if(invalidvarcomb[cptcod]){
         printf("\nCombination (%d) ignored because no cases \n",cptcod);
         continue;
       }
-      agemingood[cptcod]=fage-(mob-1)/2;
+      for (age=fage-(mob-1)/2; age>=bage+(mob-1)/2; age--){ /*looking for the youngest and oldest good age */
-      for (age=fage-(mob-1)/2; age>=bage; age--){/* From oldest to youngest, finding the youngest wrong */
         sumnewm[cptcod]=0.;
+        sumnewmr[cptcod]=0.;
         for (i=1; i<=nlstate;i++){
           sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
+          sumnewmr[cptcod]+=probs[(int)age][i][cptcod];
+        }
+        if(fabs(sumnewmr[cptcod] - 1.) <= 1.e-3) { /* good without smoothing */
+          agemingoodr[cptcod]=age;
         }
         if(fabs(sumnewm[cptcod] - 1.) <= 1.e-3) { /* good */
-          agemingood[cptcod]=age;
+            agemingood[cptcod]=age;
-        }else{ /* bad */
+        }
-          for (i=1; i<=nlstate;i++){
+      } /* age */
-            mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemingood[cptcod]][i][cptcod];
+      for (age=bage+(mob-1)/2; age<=fage-(mob-1)/2; age++){ /*looking for the youngest and oldest good age */
-          } /* i */
-        } /* end bad */
-      }/* age */
-      sum=0.;
-      for (i=1; i<=nlstate;i++){
-        sum+=mobaverage[(int)agemingood[cptcod]][i][cptcod];
-      }
-      if(fabs(sum - 1.) > 1.e-3) { /* bad */
-        printf("For this combination of covariate cptcod=%d, we can't get a smoothed prevalence which sums to one at any descending age!\n",cptcod);
-        /* for (i=1; i<=nlstate;i++){ */
-        /*   mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemingood[cptcod]][i][cptcod]; */
-        /* } /\* i *\/ */
-      } /* end bad */
-      /* else{ /\* We found some ages summing to one, we will smooth the oldest *\/ */
-      /* From youngest, finding the oldest wrong */
-      agemaxgood[cptcod]=bage+(mob-1)/2;
-      for (age=bage+(mob-1)/2; age<=fage; age++){
         sumnewm[cptcod]=0.;
+        sumnewmr[cptcod]=0.;
         for (i=1; i<=nlstate;i++){
           sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
+          sumnewmr[cptcod]+=probs[(int)age][i][cptcod];
+        }
+        if(fabs(sumnewmr[cptcod] - 1.) <= 1.e-3) { /* good without smoothing */
+          agemaxgoodr[cptcod]=age;
         }
         if(fabs(sumnewm[cptcod] - 1.) <= 1.e-3) { /* good */
           agemaxgood[cptcod]=age;
-        }else{ /* bad */
+        }
-          for (i=1; i<=nlstate;i++){
+      } /* age */
-            mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemaxgood[cptcod]][i][cptcod];
+      /* Thus we have agemingood and agemaxgood as well as goodr for raw (preobs) */
-          } /* i */
+      /* but they will change */
+      firstA1=0;firstA2=0;
+      for (age=fage-(mob-1)/2; age>=bage; age--){/* From oldest to youngest, filling up to the youngest */
+        sumnewm[cptcod]=0.;
+        sumnewmr[cptcod]=0.;
+        for (i=1; i<=nlstate;i++){
+          sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
+          sumnewmr[cptcod]+=probs[(int)age][i][cptcod];
+        }
+        if(mobilav==-1){ /* Forcing raw ages if good else agemingood */
+          if(fabs(sumnewmr[cptcod] - 1.) <= 1.e-3) { /* good without smoothing */
+            agemaxgoodr[cptcod]=age;  /* age min */
+            for (i=1; i<=nlstate;i++)
+              mobaverage[(int)age][i][cptcod]=probs[(int)age][i][cptcod];
+          }else{ /* bad we change the value with the values of good ages */
+            for (i=1; i<=nlstate;i++){
+              mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemaxgoodr[cptcod]][i][cptcod];
+            } /* i */
+          } /* end bad */
+        }else{
+          if(fabs(sumnewm[cptcod] - 1.) <= 1.e-3) { /* good */
+            agemaxgood[cptcod]=age;
+          }else{ /* bad we change the value with the values of good ages */
+            for (i=1; i<=nlstate;i++){
+              mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemaxgood[cptcod]][i][cptcod];
+            } /* i */
+          } /* end bad */
+        }/* end else */
+        sum=0.;sumr=0.;
+        for (i=1; i<=nlstate;i++){
+          sum+=mobaverage[(int)age][i][cptcod];
+          sumr+=probs[(int)age][i][cptcod];
+        }
+        if(fabs(sum - 1.) > 1.e-3) { /* bad */
+          if(!firstA1){
+            firstA1=1;
+            printf("Moving average A1: For this combination of covariate cptcod=%d, we can't get a smoothed prevalence which sums to one (%f) at any descending age! age=%d, could you increase bage=%d. Others in log file...\n",cptcod,sumr, (int)age, (int)bage);
+          }
+          fprintf(ficlog,"Moving average A1: For this combination of covariate cptcod=%d, we can't get a smoothed prevalence which sums to one (%f) at any descending age! age=%d, could you increase bage=%d\n",cptcod,sumr, (int)age, (int)bage);
+        } /* end bad */
+        /* else{ /\* We found some ages summing to one, we will smooth the oldest *\/ */
+        if(fabs(sumr - 1.) > 1.e-3) { /* bad */
+          if(!firstA2){
+            firstA2=1;
+            printf("Moving average A2: For this combination of covariate cptcod=%d, the raw prevalence doesn't sums to one (%f) even with smoothed values at young ages! age=%d, could you increase bage=%d. Others in log file...\n",cptcod,sumr, (int)age, (int)bage);
+          }
+          fprintf(ficlog,"Moving average A2: For this combination of covariate cptcod=%d, the raw prevalence doesn't sums to one (%f) even with smoothed values at young ages! age=%d, could you increase bage=%d\n",cptcod,sumr, (int)age, (int)bage);
         } /* end bad */
       }/* age */
-      sum=0.;
-      for (i=1; i<=nlstate;i++){
+      for (age=bage+(mob-1)/2; age<=fage; age++){/* From youngest, finding the oldest wrong */
-        sum+=mobaverage[(int)agemaxgood[cptcod]][i][cptcod];
+        sumnewm[cptcod]=0.;
-      }
+        sumnewmr[cptcod]=0.;
-      if(fabs(sum - 1.) > 1.e-3) { /* bad */
+        for (i=1; i<=nlstate;i++){
-        printf("For this combination of covariate cptcod=%d, we can't get a smoothed prevalence which sums to one at any ascending age!\n",cptcod);
+          sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
-        /* for (i=1; i<=nlstate;i++){ */
+          sumnewmr[cptcod]+=probs[(int)age][i][cptcod];
-        /*   mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemingood[cptcod]][i][cptcod]; */
+        }
-        /* } /\* i *\/ */
+        if(mobilav==-1){ /* Forcing raw ages if good else agemingood */
-      } /* end bad */
+          if(fabs(sumnewmr[cptcod] - 1.) <= 1.e-3) { /* good */
+            agemingoodr[cptcod]=age;
+            for (i=1; i<=nlstate;i++)
+              mobaverage[(int)age][i][cptcod]=probs[(int)age][i][cptcod];
+          }else{ /* bad we change the value with the values of good ages */
+            for (i=1; i<=nlstate;i++){
+              mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemingoodr[cptcod]][i][cptcod];
+            } /* i */
+          } /* end bad */
+        }else{
+          if(fabs(sumnewm[cptcod] - 1.) <= 1.e-3) { /* good */
+            agemingood[cptcod]=age;
+          }else{ /* bad */
+            for (i=1; i<=nlstate;i++){
+              mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemingood[cptcod]][i][cptcod];
+            } /* i */
+          } /* end bad */
+        }/* end else */
+        sum=0.;sumr=0.;
+        for (i=1; i<=nlstate;i++){
+          sum+=mobaverage[(int)age][i][cptcod];
+          sumr+=mobaverage[(int)age][i][cptcod];
+        }
+        if(fabs(sum - 1.) > 1.e-3) { /* bad */
+          printf("Moving average B1: For this combination of covariate cptcod=%d, we can't get a smoothed prevalence which sums to one (%f) at any descending age! age=%d, could you decrease fage=%d?\n",cptcod, sum, (int) age, (int)fage);
+        } /* end bad */
+        /* else{ /\* We found some ages summing to one, we will smooth the oldest *\/ */
+        if(fabs(sumr - 1.) > 1.e-3) { /* bad */
+          printf("Moving average B2: For this combination of covariate cptcod=%d, the raw prevalence doesn't sums to one (%f) even with smoothed values at young ages! age=%d, could you increase fage=%d\n",cptcod,sumr, (int)age, (int)fage);
+        } /* end bad */
+      }/* age */
       for (age=bage; age<=fage; age++){
         /* printf("%d %d ", cptcod, (int)age); */
- Line 7464  set ter svg size 640, 480\nunset log y\n
+ Line 9200  set ter svg size 640, 480\nunset log y\n
       }
       /* printf("\n"); */
       /* } */
       /* brutal averaging */
-      for (i=1; i<=nlstate;i++){
+      /* for (i=1; i<=nlstate;i++){ */
-        for (age=1; age<=bage; age++){
+      /*   for (age=1; age<=bage; age++){ */
-          mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemingood[cptcod]][i][cptcod];
+      /*          mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemingood[cptcod]][i][cptcod]; */
-          /* printf("age=%d i=%d cptcod=%d mobaverage=%.4f \n",(int)age,i, cptcod, mobaverage[(int)age][i][cptcod]); */
+      /*          /\* printf("age=%d i=%d cptcod=%d mobaverage=%.4f \n",(int)age,i, cptcod, mobaverage[(int)age][i][cptcod]); *\/ */
-        }
+      /*   }      */
-        for (age=fage; age<=AGESUP; age++){
+      /*   for (age=fage; age<=AGESUP; age++){ */
-          mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemaxgood[cptcod]][i][cptcod];
+      /*          mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemaxgood[cptcod]][i][cptcod]; */
-          /* printf("age=%d i=%d cptcod=%d mobaverage=%.4f \n",(int)age,i, cptcod, mobaverage[(int)age][i][cptcod]); */
+      /*          /\* printf("age=%d i=%d cptcod=%d mobaverage=%.4f \n",(int)age,i, cptcod, mobaverage[(int)age][i][cptcod]); *\/ */
-        }
+      /*   } */
-      } /* end i status */
+      /* } /\* end i status *\/ */
-      for (i=nlstate+1; i<=nlstate+ndeath;i++){
+      /* for (i=nlstate+1; i<=nlstate+ndeath;i++){ */
-        for (age=1; age<=AGESUP; age++){
+      /*   for (age=1; age<=AGESUP; age++){ */
-          /*printf("i=%d, age=%d, cptcod=%d\n",i, (int)age, cptcod);*/
+      /*          /\*printf("i=%d, age=%d, cptcod=%d\n",i, (int)age, cptcod);*\/ */
-          mobaverage[(int)age][i][cptcod]=0.;
+      /*          mobaverage[(int)age][i][cptcod]=0.; */
-        }
+      /*   } */
-      }
+      /* } */
     }/* end cptcod */
-    free_vector(sumnewm,1, ncovcombmax);
+    free_vector(agemaxgoodr,1, ncovcombmax);
-    free_vector(sumnewp,1, ncovcombmax);
     free_vector(agemaxgood,1, ncovcombmax);
     free_vector(agemingood,1, ncovcombmax);
+    free_vector(agemingoodr,1, ncovcombmax);
+    free_vector(sumnewmr,1, ncovcombmax);
+    free_vector(sumnewm,1, ncovcombmax);
+    free_vector(sumnewp,1, ncovcombmax);
     return 0;
   }/* End movingaverage */
  /************** Forecasting ******************/
-  void prevforecast(char fileres[], double anproj1, double mproj1, double jproj1, double ageminpar, double agemax, double dateprev1, double dateprev2, int mobilav, double bage, double fage, int firstpass, int lastpass, double anproj2, double p[], int cptcoveff){
+ /* void prevforecast(char fileres[], double dateintmean, double anprojd, double mprojd, double jprojd, double ageminpar, double agemax, double dateprev1, double dateprev2, int mobilav, double ***prev, double bage, double fage, int firstpass, int lastpass, double anprojf, double p[], int cptcoveff)*/
-   /* proj1, year, month, day of starting projection
+ void prevforecast(char fileres[], double dateintmean, double dateprojd, double dateprojf, double ageminpar, double agemax, double dateprev1, double dateprev2, int mobilav, double ***prev, double bage, double fage, int firstpass, int lastpass, double p[], int cptcoveff){
+   /* dateintemean, mean date of interviews
+      dateprojd, year, month, day of starting projection
+      dateprojf date of end of projection;year of end of projection (same day and month as proj1).
       agemin, agemax range of age
       dateprev1 dateprev2 range of dates during which prevalence is computed
-      anproj2 year of en of projection (same day and month as proj1).
    */
-    int yearp, stepsize, hstepm, nhstepm, j, k, cptcod, i, h, i1, k4, nres=0;
+   /* double anprojd, mprojd, jprojd; */
+   /* double anprojf, mprojf, jprojf; */
+   int yearp, stepsize, hstepm, nhstepm, j, k, cptcod, i, h, i1, k4, nres=0;
    double agec; /* generic age */
-   double agelim, ppij, yp,yp1,yp2,jprojmean,mprojmean,anprojmean;
+   double agelim, ppij, yp,yp1,yp2;
    double *popeffectif,*popcount;
    double ***p3mat;
    /* double ***mobaverage; */
- Line 7530  set ter svg size 640, 480\nunset log y\n
+ Line 9275  set ter svg size 640, 480\nunset log y\n
    if(estepm < stepm){
      printf ("Problem %d lower than %d\n",estepm, stepm);
    }
-   else  hstepm=estepm;
+   else{
+     hstepm=estepm;
+   }
+   if(estepm > stepm){ /* Yes every two year */
+     stepsize=2;
+   }
+   hstepm=hstepm/stepm;
+   /* yp1=modf(dateintmean,&yp);/\* extracts integral of datemean in yp  and */
+   /*                              fractional in yp1 *\/ */
+   /* aintmean=yp; */
+   /* yp2=modf((yp1*12),&yp); */
+   /* mintmean=yp; */
+   /* yp1=modf((yp2*30.5),&yp); */
+   /* jintmean=yp; */
+   /* if(jintmean==0) jintmean=1; */
+   /* if(mintmean==0) mintmean=1; */
-   hstepm=hstepm/stepm;
-   yp1=modf(dateintmean,&yp);/* extracts integral of datemean in yp  and
-                                fractional in yp1 */
-   anprojmean=yp;
-   yp2=modf((yp1*12),&yp);
-   mprojmean=yp;
-   yp1=modf((yp2*30.5),&yp);
-   jprojmean=yp;
-   if(jprojmean==0) jprojmean=1;
-   if(mprojmean==0) jprojmean=1;
+   /* date2dmy(dateintmean,&jintmean,&mintmean,&aintmean); */
+   /* date2dmy(dateprojd,&jprojd, &mprojd, &anprojd); */
+   /* date2dmy(dateprojf,&jprojf, &mprojf, &anprojf); */
    i1=pow(2,cptcoveff);
    if (cptcovn < 1){i1=1;}
-   fprintf(ficresf,"# Mean day of interviews %.lf/%.lf/%.lf (%.2f) between %.2f and %.2f \n",jprojmean,mprojmean,anprojmean,dateintmean,dateprev1,dateprev2);
+   fprintf(ficresf,"# Mean day of interviews %.lf/%.lf/%.lf (%.2f) between %.2f and %.2f \n",jintmean,mintmean,aintmean,dateintmean,dateprev1,dateprev2);
    fprintf(ficresf,"#****** Routine prevforecast **\n");
  /*            if (h==(int)(YEARM*yearp)){ */
    for(nres=1; nres <= nresult; nres++) /* For each resultline */
-   for(k=1; k<=i1;k++){
+     for(k=1; k<=i1;k++){ /* We want to find the combination k corresponding to the values of the dummies given in this resut line (to be cleaned one day) */
      if(i1 != 1 && TKresult[nres]!= k)
        continue;
      if(invalidvarcomb[k]){
- Line 7561  set ter svg size 640, 480\nunset log y\n
+ Line 9316  set ter svg size 640, 480\nunset log y\n
      }
      fprintf(ficresf,"\n#****** hpijx=probability over h years, hp.jx is weighted by observed prev \n#");
      for(j=1;j<=cptcoveff;j++) {
-       fprintf(ficresf," V%d (=) %d",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
+       /* fprintf(ficresf," V%d (=) %d",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,Tvaraff[j])]); */
+       fprintf(ficresf," V%d (=) %d",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,TnsdVar[Tvaraff[j]])]);
      }
      for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
        fprintf(ficresf," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
- Line 7572  set ter svg size 640, 480\nunset log y\n
+ Line 9328  set ter svg size 640, 480\nunset log y\n
          fprintf(ficresf," p%d%d",i,j);
        fprintf(ficresf," wp.%d",j);
      }
-     for (yearp=0; yearp<=(anproj2-anproj1);yearp +=stepsize) {
+     for (yearp=0; yearp<=(anprojf-anprojd);yearp +=stepsize) {
        fprintf(ficresf,"\n");
-       fprintf(ficresf,"\n# Forecasting at date %.lf/%.lf/%.lf ",jproj1,mproj1,anproj1+yearp);
+       fprintf(ficresf,"\n# Forecasting at date %.lf/%.lf/%.lf ",jprojd,mprojd,anprojd+yearp);
-       for (agec=fage; agec>=(ageminpar-1); agec--){
+       /* for (agec=fage; agec>=(ageminpar-1); agec--){  */
+       for (agec=fage; agec>=(bage); agec--){
          nhstepm=(int) rint((agelim-agec)*YEARM/stepm);
          nhstepm = nhstepm/hstepm;
          p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
          oldm=oldms;savm=savms;
+         /* We compute pii at age agec over nhstepm);*/
          hpxij(p3mat,nhstepm,agec,hstepm,p,nlstate,stepm,oldm,savm, k,nres);
+         /* Then we print p3mat for h corresponding to the right agec+h*stepms=yearp */
          for (h=0; h<=nhstepm; h++){
            if (h*hstepm/YEARM*stepm ==yearp) {
-             fprintf(ficresf,"\n");
+             break;
-             for(j=1;j<=cptcoveff;j++)
+           }
-               fprintf(ficresf,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
+         }
-             fprintf(ficresf,"%.f %.f ",anproj1+yearp,agec+h*hstepm/YEARM*stepm);
+         fprintf(ficresf,"\n");
-           }
+         for(j=1;j<=cptcoveff;j++)
-           for(j=1; j<=nlstate+ndeath;j++) {
+           /* fprintf(ficresf,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,Tvaraff[j])]); /\* Tvaraff not correct *\/ */
-             ppij=0.;
+           fprintf(ficresf,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,TnsdVar[Tvaraff[j]])]); /* TnsdVar[Tvaraff]  correct */
-             for(i=1; i<=nlstate;i++) {
+         fprintf(ficresf,"%.f %.f ",anprojd+yearp,agec+h*hstepm/YEARM*stepm);
-               if (mobilav==1)
-                 ppij=ppij+p3mat[i][j][h]*mobaverage[(int)agec][i][k];
+         for(j=1; j<=nlstate+ndeath;j++) {
-               else {
+           ppij=0.;
-                 ppij=ppij+p3mat[i][j][h]*probs[(int)(agec)][i][k];
+           for(i=1; i<=nlstate;i++) {
-               }
+             if (mobilav>=1)
-               if (h*hstepm/YEARM*stepm== yearp) {
+              ppij=ppij+p3mat[i][j][h]*prev[(int)agec][i][k];
-                 fprintf(ficresf," %.3f", p3mat[i][j][h]);
+             else { /* even if mobilav==-1 we use mobaverage, probs may not sums to 1 */
-               }
+                 ppij=ppij+p3mat[i][j][h]*probs[(int)(agec)][i][k];
-             } /* end i */
-             if (h*hstepm/YEARM*stepm==yearp) {
-               fprintf(ficresf," %.3f", ppij);
              }
-           }/* end j */
+             fprintf(ficresf," %.3f", p3mat[i][j][h]);
-         } /* end h */
+           } /* end i */
+           fprintf(ficresf," %.3f", ppij);
+         }/* end j */
          free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
        } /* end agec */
+       /* diffyear=(int) anproj1+yearp-ageminpar-1; */
+       /*printf("Prevforecast %d+%d-%d=diffyear=%d\n",(int) anproj1, (int)yearp,(int)ageminpar,(int) anproj1-(int)ageminpar);*/
      } /* end yearp */
    } /* end  k */
- Line 7617  set ter svg size 640, 480\nunset log y\n
+ Line 9376  set ter svg size 640, 480\nunset log y\n
  }
- /* /\************** Back Forecasting ******************\/ */
+ /************** Back Forecasting ******************/
- /* void prevbackforecast(char fileres[], double anback1, double mback1, double jback1, double ageminpar, double agemax, double dateprev1, double dateprev2, int mobilav, double bage, double fage, int firstpass, int lastpass, double anback2, double p[], int cptcoveff){ */
+  /* void prevbackforecast(char fileres[], double ***prevacurrent, double anback1, double mback1, double jback1, double ageminpar, double agemax, double dateprev1, double dateprev2, int mobilav, double bage, double fage, int firstpass, int lastpass, double anback2, double p[], int cptcoveff){ */
- /*   /\* back1, year, month, day of starting backection  */
+  void prevbackforecast(char fileres[], double ***prevacurrent, double dateintmean, double dateprojd, double dateprojf, double ageminpar, double agemax, double dateprev1, double dateprev2, int mobilav, double bage, double fage, int firstpass, int lastpass, double p[], int cptcoveff){
- /*      agemin, agemax range of age */
+   /* back1, year, month, day of starting backprojection
- /*      dateprev1 dateprev2 range of dates during which prevalence is computed */
+      agemin, agemax range of age
- /*      anback2 year of en of backection (same day and month as back1). */
+      dateprev1 dateprev2 range of dates during which prevalence is computed
- /*   *\/ */
+      anback2 year of end of backprojection (same day and month as back1).
- /*   int yearp, stepsize, hstepm, nhstepm, j, k, cptcod, i, h, i1; */
+      prevacurrent and prev are prevalences.
- /*   double agec; /\* generic age *\/ */
+   */
- /*   double agelim, ppij, yp,yp1,yp2,jprojmean,mprojmean,anprojmean; */
+   int yearp, stepsize, hstepm, nhstepm, j, k, cptcod, i, h, i1, k4, nres=0;
- /*   double *popeffectif,*popcount; */
+   double agec; /* generic age */
- /*   double ***p3mat; */
+   double agelim, ppij, ppi, yp,yp1,yp2; /* ,jintmean,mintmean,aintmean;*/
- /*   /\* double ***mobaverage; *\/ */
+   double *popeffectif,*popcount;
- /*   char fileresfb[FILENAMELENGTH]; */
+   double ***p3mat;
+   /* double ***mobaverage; */
- /*   agelim=AGESUP; */
+   char fileresfb[FILENAMELENGTH];
- /*   /\* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people */
- /*      in each health status at the date of interview (if between dateprev1 and dateprev2). */
+   agelim=AGEINF;
- /*      We still use firstpass and lastpass as another selection. */
+   /* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people
- /*   *\/ */
+      in each health status at the date of interview (if between dateprev1 and dateprev2).
- /*   /\* freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint,strstart,\ *\/ */
+      We still use firstpass and lastpass as another selection.
- /*   /\*              firstpass, lastpass,  stepm,  weightopt, model); *\/ */
+   */
- /*   prevalence(probs, ageminpar, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass); */
+   /* freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint,strstart,\ */
+   /*          firstpass, lastpass,  stepm,  weightopt, model); */
- /*   strcpy(fileresfb,"FB_");  */
- /*   strcat(fileresfb,fileresu); */
+   /*Do we need to compute prevalence again?*/
- /*   if((ficresfb=fopen(fileresfb,"w"))==NULL) { */
- /*     printf("Problem with back forecast resultfile: %s\n", fileresfb); */
+   /* prevalence(probs, ageminpar, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass); */
- /*     fprintf(ficlog,"Problem with back forecast resultfile: %s\n", fileresfb); */
- /*   } */
- /*   printf("Computing back forecasting: result on file '%s', please wait... \n", fileresfb); */
- /*   fprintf(ficlog,"Computing back forecasting: result on file '%s', please wait... \n", fileresfb); */
- /*   if (cptcoveff==0) ncodemax[cptcoveff]=1; */
- /*   /\* if (mobilav!=0) { *\/ */
- /*   /\*   mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); *\/ */
- /*   /\*   if (movingaverage(probs, ageminpar, fage, mobaverage,mobilav)!=0){ *\/ */
- /*   /\*     fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav); *\/ */
- /*   /\*     printf(" Error in movingaverage mobilav=%d\n",mobilav); *\/ */
- /*   /\*   } *\/ */
- /*   /\* } *\/ */
- /*   stepsize=(int) (stepm+YEARM-1)/YEARM; */
- /*   if (stepm<=12) stepsize=1; */
- /*   if(estepm < stepm){ */
- /*     printf ("Problem %d lower than %d\n",estepm, stepm); */
- /*   } */
- /*   else  hstepm=estepm;    */
- /*   hstepm=hstepm/stepm;  */
- /*   yp1=modf(dateintmean,&yp);/\* extracts integral of datemean in yp  and */
- /*                                fractional in yp1 *\/ */
- /*   anprojmean=yp; */
- /*   yp2=modf((yp1*12),&yp); */
- /*   mprojmean=yp; */
- /*   yp1=modf((yp2*30.5),&yp); */
- /*   jprojmean=yp; */
- /*   if(jprojmean==0) jprojmean=1; */
- /*   if(mprojmean==0) jprojmean=1; */
- /*   i1=cptcoveff; */
- /*   if (cptcovn < 1){i1=1;} */
- /*   fprintf(ficresfb,"# Mean day of interviews %.lf/%.lf/%.lf (%.2f) between %.2f and %.2f \n",jprojmean,mprojmean,anprojmean,dateintmean,dateprev1,dateprev2);  */
+   strcpy(fileresfb,"FB_");
+   strcat(fileresfb,fileresu);
+   if((ficresfb=fopen(fileresfb,"w"))==NULL) {
+     printf("Problem with back forecast resultfile: %s\n", fileresfb);
+     fprintf(ficlog,"Problem with back forecast resultfile: %s\n", fileresfb);
+   }
+   printf("\nComputing back forecasting: result on file '%s', please wait... \n", fileresfb);
+   fprintf(ficlog,"\nComputing back forecasting: result on file '%s', please wait... \n", fileresfb);
- /*   fprintf(ficresfb,"#****** Routine prevbackforecast **\n"); */
+   if (cptcoveff==0) ncodemax[cptcoveff]=1;
- /*      /\*           if (h==(int)(YEARM*yearp)){ *\/ */
- /*   for(cptcov=1, k=0;cptcov<=i1;cptcov++){ */
+   stepsize=(int) (stepm+YEARM-1)/YEARM;
- /*     for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){ */
+   if (stepm<=12) stepsize=1;
- /*       k=k+1; */
+   if(estepm < stepm){
- /*       fprintf(ficresfb,"\n#****** hbijx=probability over h years, hp.jx is weighted by observed prev \n#"); */
+     printf ("Problem %d lower than %d\n",estepm, stepm);
- /*       for(j=1;j<=cptcoveff;j++) { */
+   }
- /*                              fprintf(ficresfb," V%d (=) %d",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]); */
+   else{
- /*       } */
+     hstepm=estepm;
- /*       fprintf(ficresfb," yearbproj age"); */
+   }
- /*       for(j=1; j<=nlstate+ndeath;j++){  */
+   if(estepm >= stepm){ /* Yes every two year */
- /*                              for(i=1; i<=nlstate;i++)               */
+     stepsize=2;
- /*           fprintf(ficresfb," p%d%d",i,j); */
+   }
- /*                              fprintf(ficresfb," p.%d",j); */
- /*       } */
+   hstepm=hstepm/stepm;
- /*       for (yearp=0; yearp>=(anback2-anback1);yearp -=stepsize) {  */
+   /* yp1=modf(dateintmean,&yp);/\* extracts integral of datemean in yp  and */
- /*                              /\* for (yearp=0; yearp<=(anproj2-anproj1);yearp +=stepsize) {  *\/ */
+   /*                              fractional in yp1 *\/ */
- /*                              fprintf(ficresfb,"\n"); */
+   /* aintmean=yp; */
- /*                              fprintf(ficresfb,"\n# Back Forecasting at date %.lf/%.lf/%.lf ",jback1,mback1,anback1+yearp);    */
+   /* yp2=modf((yp1*12),&yp); */
- /*                              for (agec=fage; agec>=(ageminpar-1); agec--){  */
+   /* mintmean=yp; */
- /*                                      nhstepm=(int) rint((agelim-agec)*YEARM/stepm);  */
+   /* yp1=modf((yp2*30.5),&yp); */
- /*                                      nhstepm = nhstepm/hstepm;  */
+   /* jintmean=yp; */
- /*                                      p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); */
+   /* if(jintmean==0) jintmean=1; */
- /*                                      oldm=oldms;savm=savms; */
+   /* if(mintmean==0) jintmean=1; */
- /*                                      hbxij(p3mat,nhstepm,agec,hstepm,p,prevacurrent,nlstate,stepm,oldm,savm,oldm,savm, dnewm, doldm, dsavm, k);       */
- /*                                      for (h=0; h<=nhstepm; h++){ */
+   i1=pow(2,cptcoveff);
- /*                                              if (h*hstepm/YEARM*stepm ==yearp) { */
+   if (cptcovn < 1){i1=1;}
- /*               fprintf(ficresfb,"\n"); */
- /*               for(j=1;j<=cptcoveff;j++)  */
+   fprintf(ficresfb,"# Mean day of interviews %.lf/%.lf/%.lf (%.2f) between %.2f and %.2f \n",jintmean,mintmean,aintmean,dateintmean,dateprev1,dateprev2);
- /*                 fprintf(ficresfb,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]); */
+   printf("# Mean day of interviews %.lf/%.lf/%.lf (%.2f) between %.2f and %.2f \n",jintmean,mintmean,aintmean,dateintmean,dateprev1,dateprev2);
- /*                                                      fprintf(ficresfb,"%.f %.f ",anback1+yearp,agec+h*hstepm/YEARM*stepm); */
- /*                                              }  */
+   fprintf(ficresfb,"#****** Routine prevbackforecast **\n");
- /*                                              for(j=1; j<=nlstate+ndeath;j++) { */
- /*                                                      ppij=0.; */
+   for(nres=1; nres <= nresult; nres++) /* For each resultline */
- /*                                                      for(i=1; i<=nlstate;i++) { */
+   for(k=1; k<=i1;k++){
- /*                                                              if (mobilav==1)  */
+     if(i1 != 1 && TKresult[nres]!= k)
- /*                                                                      ppij=ppij+p3mat[i][j][h]*mobaverage[(int)agec][i][cptcod]; */
+       continue;
- /*                                                              else { */
+     if(invalidvarcomb[k]){
- /*                                                                      ppij=ppij+p3mat[i][j][h]*probs[(int)(agec)][i][cptcod]; */
+       printf("\nCombination (%d) projection ignored because no cases \n",k);
- /*                                                              } */
+       continue;
- /*                                                              if (h*hstepm/YEARM*stepm== yearp) { */
+     }
- /*                                                                      fprintf(ficresfb," %.3f", p3mat[i][j][h]); */
+     fprintf(ficresfb,"\n#****** hbijx=probability over h years, hb.jx is weighted by observed prev \n#");
- /*                                                              } */
+     for(j=1;j<=cptcoveff;j++) {
- /*                                                      } /\* end i *\/ */
+       fprintf(ficresfb," V%d (=) %d",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,TnsdVar[Tvaraff[j]])]);
- /*                                                      if (h*hstepm/YEARM*stepm==yearp) { */
+     }
- /*                                                              fprintf(ficresfb," %.3f", ppij); */
+     for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
- /*                                                      } */
+       fprintf(ficresf," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
- /*                                              }/\* end j *\/ */
+     }
- /*                                      } /\* end h *\/ */
+     fprintf(ficresfb," yearbproj age");
- /*                                      free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); */
+     for(j=1; j<=nlstate+ndeath;j++){
- /*                              } /\* end agec *\/ */
+       for(i=1; i<=nlstate;i++)
- /*       } /\* end yearp *\/ */
+         fprintf(ficresfb," b%d%d",i,j);
- /*     } /\* end cptcod *\/ */
+       fprintf(ficresfb," b.%d",j);
- /*   } /\* end  cptcov *\/ */
+     }
+     for (yearp=0; yearp>=(anbackf-anbackd);yearp -=stepsize) {
- /*   /\* if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); *\/ */
+       /* for (yearp=0; yearp<=(anproj2-anproj1);yearp +=stepsize) {  */
+       fprintf(ficresfb,"\n");
- /*   fclose(ficresfb); */
+       fprintf(ficresfb,"\n# Back Forecasting at date %.lf/%.lf/%.lf ",jbackd,mbackd,anbackd+yearp);
- /*   printf("End of Computing Back forecasting \n"); */
+       /* printf("\n# Back Forecasting at date %.lf/%.lf/%.lf ",jback1,mback1,anback1+yearp); */
- /*   fprintf(ficlog,"End of Computing Back forecasting\n"); */
+       /* for (agec=bage; agec<=agemax-1; agec++){  /\* testing *\/ */
+       for (agec=bage; agec<=fage; agec++){  /* testing */
+         /* We compute bij at age agec over nhstepm, nhstepm decreases when agec increases because of agemax;*/
+         nhstepm=(int) (agec-agelim) *YEARM/stepm;/*     nhstepm=(int) rint((agec-agelim)*YEARM/stepm);*/
+         nhstepm = nhstepm/hstepm;
+         p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
+         oldm=oldms;savm=savms;
+         /* computes hbxij at age agec over 1 to nhstepm */
+         /* printf("####prevbackforecast debug  agec=%.2f nhstepm=%d\n",agec, nhstepm);fflush(stdout); */
+         hbxij(p3mat,nhstepm,agec,hstepm,p,prevacurrent,nlstate,stepm, k, nres);
+         /* hpxij(p3mat,nhstepm,agec,hstepm,p,             nlstate,stepm,oldm,savm, k,nres); */
+         /* Then we print p3mat for h corresponding to the right agec+h*stepms=yearp */
+         /* printf(" agec=%.2f\n",agec);fflush(stdout); */
+         for (h=0; h<=nhstepm; h++){
+           if (h*hstepm/YEARM*stepm ==-yearp) {
+             break;
+           }
+         }
+         fprintf(ficresfb,"\n");
+         for(j=1;j<=cptcoveff;j++)
+           fprintf(ficresfb,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,TnsdVar[Tvaraff[j]])]);
+         fprintf(ficresfb,"%.f %.f ",anbackd+yearp,agec-h*hstepm/YEARM*stepm);
+         for(i=1; i<=nlstate+ndeath;i++) {
+           ppij=0.;ppi=0.;
+           for(j=1; j<=nlstate;j++) {
+             /* if (mobilav==1) */
+             ppij=ppij+p3mat[i][j][h]*prevacurrent[(int)agec][j][k];
+             ppi=ppi+prevacurrent[(int)agec][j][k];
+             /* ppij=ppij+p3mat[i][j][h]*mobaverage[(int)agec][j][k]; */
+             /* ppi=ppi+mobaverage[(int)agec][j][k]; */
+               /* else { */
+               /*        ppij=ppij+p3mat[i][j][h]*probs[(int)(agec)][i][k]; */
+               /* } */
+             fprintf(ficresfb," %.3f", p3mat[i][j][h]);
+           } /* end j */
+           if(ppi <0.99){
+             printf("Error in prevbackforecast, prevalence doesn't sum to 1 for state %d: %3f\n",i, ppi);
+             fprintf(ficlog,"Error in prevbackforecast, prevalence doesn't sum to 1 for state %d: %3f\n",i, ppi);
+           }
+           fprintf(ficresfb," %.3f", ppij);
+         }/* end j */
+         free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
+       } /* end agec */
+     } /* end yearp */
+   } /* end k */
+   /* if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
+   fclose(ficresfb);
+   printf("End of Computing Back forecasting \n");
+   fprintf(ficlog,"End of Computing Back forecasting\n");
- /* } */
+ }
+ /* Variance of prevalence limit: varprlim */
+  void varprlim(char fileresu[], int nresult, double ***prevacurrent, int mobilavproj, double bage, double fage, double **prlim, int *ncvyearp, double ftolpl, double p[], double **matcov, double *delti, int stepm, int cptcoveff){
+     /*------- Variance of forward period (stable) prevalence------*/
+    char fileresvpl[FILENAMELENGTH];
+    FILE *ficresvpl;
+    double **oldm, **savm;
+    double **varpl; /* Variances of prevalence limits by age */
+    int i1, k, nres, j ;
+     strcpy(fileresvpl,"VPL_");
+     strcat(fileresvpl,fileresu);
+     if((ficresvpl=fopen(fileresvpl,"w"))==NULL) {
+       printf("Problem with variance of forward period (stable) prevalence  resultfile: %s\n", fileresvpl);
+       exit(0);
+     }
+     printf("Computing Variance-covariance of forward period (stable) prevalence: file '%s' ...", fileresvpl);fflush(stdout);
+     fprintf(ficlog, "Computing Variance-covariance of forward period (stable) prevalence: file '%s' ...", fileresvpl);fflush(ficlog);
+     /*for(cptcov=1,k=0;cptcov<=i1;cptcov++){
+       for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*/
+     i1=pow(2,cptcoveff);
+     if (cptcovn < 1){i1=1;}
+     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
+        k=TKresult[nres];
+      /* for(k=1; k<=i1;k++){ /\* We find the combination equivalent to result line values of dummies *\/ */
+       if(i1 != 1 && TKresult[nres]!= k)
+         continue;
+       fprintf(ficresvpl,"\n#****** ");
+       printf("\n#****** ");
+       fprintf(ficlog,"\n#****** ");
+       for(j=1;j<=cptcovs;j++) {
+         fprintf(ficresvpl,"V%d=%lg ",Tvresult[nres][j],TinvDoQresult[nres][Tvresult[nres][j]]);
+         fprintf(ficlog,"V%d=%lg ",Tvresult[nres][j],TinvDoQresult[nres][Tvresult[nres][j]]);
+         printf("V%d=%lg ",Tvresult[nres][j],TinvDoQresult[nres][Tvresult[nres][j]]);
+         /* fprintf(ficlog,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,TnsdVar[Tvaraff[j]])]); */
+         /* printf("V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,TnsdVar[Tvaraff[j]])]); */
+       }
+       /* for (j=1; j<= nsq; j++){ /\* For each selected (single) quantitative value *\/ */
+       /*        printf(" V%d=%f ",Tvqresult[nres][j],Tqresult[nres][resultmodel[nres][j]]); */
+       /*        fprintf(ficresvpl," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][resultmodel[nres][j]]); */
+       /*        fprintf(ficlog," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][resultmodel[nres][j]]); */
+       /* }       */
+       fprintf(ficresvpl,"******\n");
+       printf("******\n");
+       fprintf(ficlog,"******\n");
+       varpl=matrix(1,nlstate,(int) bage, (int) fage);
+       oldm=oldms;savm=savms;
+       varprevlim(fileresvpl, ficresvpl, varpl, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl, ncvyearp, k, strstart, nres);
+       free_matrix(varpl,1,nlstate,(int) bage, (int)fage);
+       /*}*/
+     }
+     fclose(ficresvpl);
+     printf("done variance-covariance of forward period prevalence\n");fflush(stdout);
+     fprintf(ficlog,"done variance-covariance of forward period prevalence\n");fflush(ficlog);
+  }
+ /* Variance of back prevalence: varbprlim */
+  void varbprlim(char fileresu[], int nresult, double ***prevacurrent, int mobilavproj, double bage, double fage, double **bprlim, int *ncvyearp, double ftolpl, double p[], double **matcov, double *delti, int stepm, int cptcoveff){
+       /*------- Variance of back (stable) prevalence------*/
+    char fileresvbl[FILENAMELENGTH];
+    FILE  *ficresvbl;
+    double **oldm, **savm;
+    double **varbpl; /* Variances of back prevalence limits by age */
+    int i1, k, nres, j ;
+    strcpy(fileresvbl,"VBL_");
+    strcat(fileresvbl,fileresu);
+    if((ficresvbl=fopen(fileresvbl,"w"))==NULL) {
+      printf("Problem with variance of back (stable) prevalence  resultfile: %s\n", fileresvbl);
+      exit(0);
+    }
+    printf("Computing Variance-covariance of back (stable) prevalence: file '%s' ...", fileresvbl);fflush(stdout);
+    fprintf(ficlog, "Computing Variance-covariance of back (stable) prevalence: file '%s' ...", fileresvbl);fflush(ficlog);
+    i1=pow(2,cptcoveff);
+    if (cptcovn < 1){i1=1;}
+    for(nres=1; nres <= nresult; nres++){ /* For each resultline */
+      k=TKresult[nres];
+     /* for(k=1; k<=i1;k++){ */
+     /*    if(i1 != 1 && TKresult[nres]!= k) */
+     /*   continue; */
+        fprintf(ficresvbl,"\n#****** ");
+        printf("\n#****** ");
+        fprintf(ficlog,"\n#****** ");
+        for (j=1; j<= cptcovs; j++){ /* For each selected (single) quantitative value */
+          printf(" V%d=%lg ",Tvqresult[nres][j],TinvDoQresult[nres][resultmodel[nres][j]]);
+          fprintf(ficresvbl," V%d=%lg ",Tvqresult[nres][j],TinvDoQresult[nres][resultmodel[nres][j]]);
+          fprintf(ficlog," V%d=%lg ",Tvqresult[nres][j],TinvDoQresult[nres][resultmodel[nres][j]]);
+        /* for(j=1;j<=cptcoveff;j++) { */
+        /*        fprintf(ficresvbl,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,TnsdVar[Tvaraff[j]])]); */
+        /*        fprintf(ficlog,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,TnsdVar[Tvaraff[j]])]); */
+        /*        printf("V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,TnsdVar[Tvaraff[j]])]); */
+        /* } */
+        /* for (j=1; j<= nsq; j++){ /\* For each selected (single) quantitative value *\/ */
+        /*        printf(" V%d=%f ",Tvqresult[nres][j],Tqresult[nres][resultmodel[nres][j]]); */
+        /*        fprintf(ficresvbl," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][resultmodel[nres][j]]); */
+        /*        fprintf(ficlog," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][resultmodel[nres][j]]); */
+        }
+        fprintf(ficresvbl,"******\n");
+        printf("******\n");
+        fprintf(ficlog,"******\n");
+        varbpl=matrix(1,nlstate,(int) bage, (int) fage);
+        oldm=oldms;savm=savms;
+        varbrevlim(fileresvbl, ficresvbl, varbpl, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, bprlim, ftolpl, mobilavproj, ncvyearp, k, strstart, nres);
+        free_matrix(varbpl,1,nlstate,(int) bage, (int)fage);
+        /*}*/
+      }
+    fclose(ficresvbl);
+    printf("done variance-covariance of back prevalence\n");fflush(stdout);
+    fprintf(ficlog,"done variance-covariance of back prevalence\n");fflush(ficlog);
+  } /* End of varbprlim */
  /************** Forecasting *****not tested NB*************/
  /* void populforecast(char fileres[], double anpyram,double mpyram,double jpyram,double ageminpar, double agemax,double dateprev1, double dateprev2s, int mobilav, double agedeb, double fage, int popforecast, char popfile[], double anpyram1,double p[], int i2){ */
- Line 8045  void prwizard(int ncovmodel, int nlstate
+ Line 9951  void prwizard(int ncovmodel, int nlstate
  /******************* Gompertz Likelihood ******************************/
  double gompertz(double x[])
  {
-   double A,B,L=0.0,sump=0.,num=0.;
+   double A=0.0,B=0.,L=0.0,sump=0.,num=0.;
    int i,n=0; /* n is the size of the sample */
    for (i=1;i<=imx ; i++) {
- Line 8053  double gompertz(double x[])
+ Line 9959  double gompertz(double x[])
      /*    sump=sump+1;*/
      num=num+1;
    }
+   L=0.0;
+   /* agegomp=AGEGOMP; */
    /* for (i=0; i<=imx; i++)
       if (wav[i]>0) printf("i=%d ageex=%lf agecens=%lf agedc=%lf cens=%d %d\n" ,i,ageexmed[i],agecens[i],agedc[i],cens[i],wav[i]);*/
-   for (i=1;i<=imx ; i++)
+   for (i=1;i<=imx ; i++) {
-     {
+     /* mu(a)=mu(agecomp)*exp(teta*(age-agegomp))
-       if (cens[i] == 1 && wav[i]>1)
+        mu(a)=x[1]*exp(x[2]*(age-agegomp)); x[1] and x[2] are per year.
-         A=-x[1]/(x[2])*(exp(x[2]*(agecens[i]-agegomp))-exp(x[2]*(ageexmed[i]-agegomp)));
+      * L= Product mu(agedeces)exp(-\int_ageexam^agedc mu(u) du ) for a death between agedc (in month)
+      *   and agedc +1 month, cens[i]=0: log(x[1]/YEARM)
-       if (cens[i] == 0 && wav[i]>1)
+      * +
+      * exp(-\int_ageexam^agecens mu(u) du ) when censored, cens[i]=1
+      */
+      if (wav[i] > 1 || agedc[i] < AGESUP) {
+        if (cens[i] == 1){
+          A=-x[1]/(x[2])*(exp(x[2]*(agecens[i]-agegomp))-exp(x[2]*(ageexmed[i]-agegomp)));
+        } else if (cens[i] == 0){
          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);
+           +log(x[1]/YEARM) +x[2]*(agedc[i]-agegomp)+log(YEARM);
+       } else
+          printf("Gompertz cens[%d] neither 1 nor 0\n",i);
        /*if (wav[i] > 1 && agecens[i] > 15) {*/ /* ??? */
-       if (wav[i] > 1 ) { /* ??? */
+        L=L+A*weight[i];
-         L=L+A*weight[i];
          /*      printf("\ni=%d A=%f L=%lf x[1]=%lf x[2]=%lf ageex=%lf agecens=%lf cens=%d agedc=%lf weight=%lf\n",i,A,L,x[1],x[2],ageexmed[i]*12,agecens[i]*12,cens[i],agedc[i]*12,weight[i]);*/
-       }
+      }
-     }
+   }
-  /*printf("x1=%2.9f x2=%2.9f x3=%2.9f L=%f\n",x[1],x[2],x[3],L);*/
+   /*printf("x1=%2.9f x2=%2.9f x3=%2.9f L=%f\n",x[1],x[2],x[3],L);*/
    return -2*L*num/sump;
  }
- Line 8083  double gompertz(double x[])
+ Line 9995  double gompertz(double x[])
  /******************* Gompertz_f Likelihood ******************************/
  double gompertz_f(const gsl_vector *v, void *params)
  {
-   double A,B,LL=0.0,sump=0.,num=0.;
+   double A=0.,B=0.,LL=0.0,sump=0.,num=0.;
    double *x= (double *) v->data;
    int i,n=0; /* n is the size of the sample */
- Line 8176  int readdata(char datafile[], int firsto
+ Line 10088  int readdata(char datafile[], int firsto
    int i=0, j=0, n=0, iv=0, v;
    int lstra;
    int linei, month, year,iout;
+   int noffset=0; /* This is the offset if BOM data file */
    char line[MAXLINE], linetmp[MAXLINE];
    char stra[MAXLINE], strb[MAXLINE];
    char *stratrunc;
    DummyV=ivector(1,NCOVMAX); /* 1 to 3 */
    FixedV=ivector(1,NCOVMAX); /* 1 to 3 */
+   for(v=1;v<NCOVMAX;v++){
+     DummyV[v]=0;
+     FixedV[v]=0;
+   }
    for(v=1; v <=ncovcol;v++){
      DummyV[v]=0;
- Line 8209  int readdata(char datafile[], int firsto
+ Line 10126  int readdata(char datafile[], int firsto
      fprintf(ficlog,"Problem while opening datafile: %s with errno='%s'\n", datafile,strerror(errno));fflush(ficlog);return 1;
    }
-   i=1;
+     /* Is it a BOM UTF-8 Windows file? */
+   /* First data line */
    linei=0;
+   while(fgets(line, MAXLINE, fic)) {
+     noffset=0;
+     if( line[0] == (char)0xEF && line[1] == (char)0xBB) /* EF BB BF */
+     {
+       noffset=noffset+3;
+       printf("# Data file '%s'  is an UTF8 BOM file, please convert to UTF8 or ascii file and rerun.\n",datafile);fflush(stdout);
+       fprintf(ficlog,"# Data file '%s'  is an UTF8 BOM file, please convert to UTF8 or ascii file and rerun.\n",datafile);
+       fflush(ficlog); return 1;
+     }
+     /*    else if( line[0] == (char)0xFE && line[1] == (char)0xFF)*/
+     else if( line[0] == (char)0xFF && line[1] == (char)0xFE)
+     {
+       noffset=noffset+2;
+       printf("# Error Data file '%s'  is a huge UTF16BE BOM file, please convert to UTF8 or ascii file (for example with dos2unix) and rerun.\n",datafile);fflush(stdout);
+       fprintf(ficlog,"# Error Data file '%s'  is a huge UTF16BE BOM file, please convert to UTF8 or ascii file (for example with dos2unix) and rerun.\n",datafile);
+       fflush(ficlog); return 1;
+     }
+     else if( line[0] == 0 && line[1] == 0)
+     {
+       if( line[2] == (char)0xFE && line[3] == (char)0xFF){
+         noffset=noffset+4;
+         printf("# Error Data file '%s'  is a huge UTF16BE BOM file, please convert to UTF8 or ascii file (for example with dos2unix) and rerun.\n",datafile);fflush(stdout);
+         fprintf(ficlog,"# Error Data file '%s'  is a huge UTF16BE BOM file, please convert to UTF8 or ascii file (for example with dos2unix) and rerun.\n",datafile);
+         fflush(ficlog); return 1;
+       }
+     } else{
+       ;/*printf(" Not a BOM file\n");*/
+     }
+         /* If line starts with a # it is a comment */
+     if (line[noffset] == '#') {
+       linei=linei+1;
+       break;
+     }else{
+       break;
+     }
+   }
+   fclose(fic);
+   if((fic=fopen(datafile,"r"))==NULL)    {
+     printf("Problem while opening datafile: %s with errno='%s'\n", datafile,strerror(errno));fflush(stdout);
+     fprintf(ficlog,"Problem while opening datafile: %s with errno='%s'\n", datafile,strerror(errno));fflush(ficlog);return 1;
+   }
+   /* Not a Bom file */
+   i=1;
    while ((fgets(line, MAXLINE, fic) != NULL) &&((i >= firstobs) && (i <=lastobs))) {
      linei=linei+1;
      for(j=strlen(line); j>=0;j--){  /* Untabifies line */
- Line 8277  int readdata(char datafile[], int firsto
+ Line 10239  int readdata(char datafile[], int firsto
          }
          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 \
+  Should be a value of %d(nth) covariate of wave %d (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);
+  Exiting.\n",lval,linei, i,line,iv,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 \
+  Should be a value of %d(nth) covariate of wave %d (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);
+  Exiting.\n",lval,linei, i,line,iv,j);fflush(ficlog);
            return 1;
          }
          cotvar[j][iv][i]=(double)(lval);
- Line 8331  int readdata(char datafile[], int firsto
+ Line 10293  int readdata(char datafile[], int firsto
          return 1;
        }
        anint[j][i]= (double) year;
        mint[j][i]= (double)month;
+       /* if( (int)anint[j][i]+ (int)(mint[j][i])/12. < (int) (moisnais[i]/12.+annais[i])){ */
+       /*        printf("Warning reading data around '%s' at line number %d for individual %d, '%s'\nThe date of interview (%2d/%4d) at wave %d occurred before the date of birth (%2d/%4d).\n",strb, linei,i, line, mint[j][i],anint[j][i], moisnais[i],annais[i]); */
+       /*        fprintf(ficlog,"Warning reading data around '%s' at line number %d for individual %d, '%s'\nThe date of interview (%2d/%4d) at wave %d occurred before the date of birth (%2d/%4d).\n",strb, linei,i, line, mint[j][i],anint[j][i], moisnais[i],annais[i]); */
+       /* } */
        strcpy(line,stra);
      } /* End loop on waves */
- Line 8370  int readdata(char datafile[], int firsto
+ Line 10336  int readdata(char datafile[], int firsto
      }
      annais[i]=(double)(year);
      moisnais[i]=(double)(month);
+     for (j=1;j<=maxwav;j++){
+       if( (int)anint[j][i]+ (int)(mint[j][i])/12. < (int) (moisnais[i]/12.+annais[i])){
+         printf("Warning reading data around '%s' at line number %d for individual %d, '%s'\nThe date of interview (%2d/%4d) at wave %d occurred before the date of birth (%2d/%4d).\n",strb, linei,i, line, (int)mint[j][i],(int)anint[j][i], j,(int)moisnais[i],(int)annais[i]);
+         fprintf(ficlog,"Warning reading data around '%s' at line number %d for individual %d, '%s'\nThe date of interview (%2d/%4d) at wave %d occurred before the date of birth (%2d/%4d).\n",strb, linei,i, line, (int)mint[j][i],(int)anint[j][i], j, (int)moisnais[i],(int)annais[i]);
+       }
+     }
      strcpy(line,stra);
      /* Sample weight */
- Line 8390  int readdata(char datafile[], int firsto
+ Line 10363  int readdata(char datafile[], int firsto
        cutv(stra, strb, line, ' ');
        if(strb[0]=='.') { /* Missing value */
          lval=-1;
+         coqvar[iv][i]=NAN;
+         covar[ncovcol+iv][i]=NAN; /* including qvar in standard covar for performance reasons */
        }else{
          errno=0;
          /* what_kind_of_number(strb); */
- Line 8483  void removefirstspace(char **stri){/*, c
+ Line 10458  void removefirstspace(char **stri){/*, c
    *stri=p2;
  }
- int decoderesult ( char resultline[], int nres)
+ int decoderesult( char resultline[], int nres)
  /**< This routine decode one result line and returns the combination # of dummy covariates only **/
  {
    int j=0, k=0, k1=0, k2=0, k3=0, k4=0, match=0, k2q=0, k3q=0, k4q=0;
    char resultsav[MAXLINE];
-   int resultmodel[MAXLINE];
+   /* int resultmodel[MAXLINE]; */
-   int modelresult[MAXLINE];
+   /* int modelresult[MAXLINE]; */
    char stra[80], strb[80], strc[80], strd[80],stre[80];
    removefirstspace(&resultline);
    printf("decoderesult:%s\n",resultline);
-   if (strstr(resultline,"v") !=0){
+   strcpy(resultsav,resultline);
-     printf("Error. 'v' must be in upper case 'V' result: %s ",resultline);
+   printf("Decoderesult resultsav=\"%s\" resultline=\"%s\"\n", resultsav, resultline);
-     fprintf(ficlog,"Error. 'v' must be in upper case result: %s ",resultline);fflush(ficlog);
-     return 1;
-   }
-   trimbb(resultsav, resultline);
    if (strlen(resultsav) >1){
-     j=nbocc(resultsav,'='); /**< j=Number of covariate values'=' */
+     j=nbocc(resultsav,'='); /**< j=Number of covariate values'=' in this resultline */
    }
    if(j == 0){ /* Resultline but no = */
      TKresult[nres]=0; /* Combination for the nresult and the model */
      return (0);
    }
    if( j != cptcovs ){ /* Be careful if a variable is in a product but not single */
-     printf("ERROR: the number of variable in the resultline, %d, differs from the number of variable used in the model line, %d.\n",j, cptcovs);
+     printf("ERROR: the number of variables in the resultline which is %d, differs from the number %d of single variables used in the model line, %s.\n",j, cptcovs, model);
-     fprintf(ficlog,"ERROR: the number of variable in the resultline, %d, differs from the number of variable used in the model line, %d.\n",j, cptcovs);
+     fprintf(ficlog,"ERROR: the number of variables in the resultline which is %d, differs from the number %d of single variables used in the model line, %s.\n",j, cptcovs, model);
+     /* return 1;*/
    }
-   for(k=1; k<=j;k++){ /* Loop on any covariate of the result line */
+   for(k=1; k<=j;k++){ /* Loop on any covariate of the RESULT LINE */
      if(nbocc(resultsav,'=') >1){
-        cutl(stra,strb,resultsav,' '); /* keeps in strb after the first ' '
+       cutl(stra,strb,resultsav,' '); /* keeps in strb after the first ' ' (stra is the rest of the resultline to be analyzed in the next loop *//*     resultsav= "V4=1 V5=25.1 V3=0" stra= "V5=25.1 V3=0" strb= "V4=1" */
-                                       resultsav= V4=1 V5=25.1 V3=0 strb=V3=0 stra= V4=1 V5=25.1 */
+       /* If resultsav= "V4= 1 V5=25.1 V3=0" with a blank then strb="V4=" and stra="1 V5=25.1 V3=0" */
-        cutl(strc,strd,strb,'=');  /* strb:V4=1 strc=1 strd=V4 */
+       cutl(strc,strd,strb,'=');  /* strb:"V4=1" strc="1" strd="V4" */
+       /* If a blank, then strc="V4=" and strd='\0' */
+       if(strc[0]=='\0'){
+       printf("Error in resultline, probably a blank after the \"%s\", \"result:%s\", stra=\"%s\" resultsav=\"%s\"\n",strb,resultline, stra, resultsav);
+         fprintf(ficlog,"Error in resultline, probably a blank after the \"V%s=\", resultline=%s\n",strb,resultline);
+         return 1;
+       }
      }else
        cutl(strc,strd,resultsav,'=');
-     Tvalsel[k]=atof(strc); /* 1 */
+     Tvalsel[k]=atof(strc); /* 1 */ /* Tvalsel of k is the float value of the kth covariate appearing in this result line */
      cutl(strc,stre,strd,'V'); /* strd='V4' strc=4 stre='V' */;
-     Tvarsel[k]=atoi(strc);
+     Tvarsel[k]=atoi(strc);  /* 4 */ /* Tvarsel is the id of the kth covariate in the result line Tvarsel[1] in "V4=1.." is 4.*/
      /* Typevarsel[k]=1;  /\* 1 for age product *\/ */
      /* cptcovsel++;     */
      if (nbocc(stra,'=') >0)
        strcpy(resultsav,stra); /* and analyzes it */
    }
    /* Checking for missing or useless values in comparison of current model needs */
-   for(k1=1; k1<= cptcovt ;k1++){ /* model line V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
+   /* Feeds resultmodel[nres][k1]=k2 for k1th product covariate with age in the model equation fed by the index k2 of the resutline*/
+   for(k1=1; k1<= cptcovt ;k1++){ /* Loop on MODEL LINE V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
      if(Typevar[k1]==0){ /* Single covariate in model */
+       /* 0 for simple covariate (dummy, quantitative, fixed or varying), 1 for age product, 2 for  product */
+       match=0;
+       for(k2=1; k2 <=j;k2++){/* Loop on resultline. In result line V4=1 V5=24.1 V3=1  V2=8 V1=0 */
+         if(Tvar[k1]==Tvarsel[k2]) {/* Tvar is coming from the model, Tvarsel from the result. Tvar[1]=5 == Tvarsel[2]=5   */
+           modelresult[nres][k2]=k1;/* modelresult[2]=1 modelresult[1]=2  modelresult[3]=3  modelresult[6]=4 modelresult[9]=5 */
+           match=1; /* modelresult of k2 variable of resultline is identical to k1 variable of the model good */
+           break;
+         }
+       }
+       if(match == 0){
+         printf("Error in result line (Dummy single): V%d is missing in result: %s according to model=%s. Tvar[k1=%d]=%d is different from Tvarsel[k2=%d]=%d.\n",Tvar[k1], resultline, model,k1, Tvar[k1], k2, Tvarsel[k2]);
+         fprintf(ficlog,"Error in result line (Dummy single): V%d is missing in result: %s according to model=%s\n",Tvar[k1], resultline, model);
+         return 1;
+       }
+     }else if(Typevar[k1]==1){ /* Product with age We want to get the position k2 in the resultline of the product k1 in the model line*/
+       /* We feed resultmodel[k1]=k2; */
+       match=0;
+       for(k2=1; k2 <=j;k2++){/* Loop on resultline.  jth occurence of = signs in the result line. In result line V4=1 V5=24.1 V3=1  V2=8 V1=0 */
+         if(Tvar[k1]==Tvarsel[k2]) {/* Tvar is coming from the model, Tvarsel from the result. Tvar[1]=5 == Tvarsel[2]=5   */
+           modelresult[nres][k2]=k1;/* we found a Vn=1 corrresponding to Vn*age in the model modelresult[2]=1 modelresult[1]=2  modelresult[3]=3  modelresult[6]=4 modelresult[9]=5 */
+           resultmodel[nres][k1]=k2; /* Added here */
+           printf("Decoderesult first modelresult[k2=%d]=%d (k1) V%d*AGE\n",k2,k1,Tvar[k1]);
+           match=1; /* modelresult of k2 variable of resultline is identical to k1 variable of the model good */
+           break;
+         }
+       }
+       if(match == 0){
+         printf("Error in result line (Product with age): V%d is missing in result: %s according to model=%s (Tvarsel[k2=%d]=%d)\n",Tvar[k1], resultline, model, k2, Tvarsel[k2]);
+         fprintf(ficlog,"Error in result line (Product with age): V%d is missing in result: %s according to model=%s (Tvarsel[k2=%d]=%d)\n",Tvar[k1], resultline, model, k2, Tvarsel[k2]);
+       return 1;
+       }
+     }else if(Typevar[k1]==2){ /* Product No age We want to get the position in the resultline of the product in the model line*/
+       /* resultmodel[nres][of such a Vn * Vm product k1] is not unique, so can't exist, we feed Tvard[k1][1] and [2] */
+       match=0;
+       printf("Decoderesult very first Product Tvardk[k1=%d][1]=%d Tvardk[k1=%d][2]=%d V%d * V%d\n",k1,Tvardk[k1][1],k1,Tvardk[k1][2],Tvardk[k1][1],Tvardk[k1][2]);
+       for(k2=1; k2 <=j;k2++){/* Loop on resultline. In result line V4=1 V5=24.1 V3=1  V2=8 V1=0 */
+         if(Tvardk[k1][1]==Tvarsel[k2]) {/* Tvardk is coming from the model, Tvarsel from the result. Tvar[1]=5 == Tvarsel[2]=5   */
+           /* modelresult[k2]=k1; */
+           printf("Decoderesult first Product modelresult[k2=%d]=%d (k1) V%d * \n",k2,k1,Tvarsel[k2]);
+           match=1; /* modelresult of k2 variable of resultline is identical to k1 variable of the model good */
+         }
+       }
+       if(match == 0){
+         printf("Error in result line (Product without age first variable): V%d is missing in result: %s according to model=%s\n",Tvardk[k1][1], resultline, model);
+         fprintf(ficlog,"Error in result line (Product without age first variable): V%d is missing in result: %s according to model=%s\n",Tvardk[k1][1], resultline, model);
+         return 1;
+       }
        match=0;
-       for(k2=1; k2 <=j;k2++){/* result line V4=1 V5=24.1 V3=1  V2=8 V1=0 */
+       for(k2=1; k2 <=j;k2++){/* Loop on resultline. In result line V4=1 V5=24.1 V3=1  V2=8 V1=0 */
-         if(Tvar[k1]==Tvarsel[k2]) {/* Tvar[1]=5 == Tvarsel[2]=5   */
+         if(Tvardk[k1][2]==Tvarsel[k2]) {/* Tvardk is coming from the model, Tvarsel from the result. Tvar[1]=5 == Tvarsel[2]=5   */
-           modelresult[k2]=k1;/* modelresult[2]=1 modelresult[1]=2  modelresult[3]=3  modelresult[6]=4 modelresult[9]=5 */
+           /* modelresult[k2]=k1;*/
-           match=1;
+           printf("Decoderesult second Product modelresult[k2=%d]=%d (k1) * V%d \n ",k2,k1,Tvarsel[k2]);
+           match=1; /* modelresult of k2 variable of resultline is identical to k1 variable of the model good */
            break;
          }
        }
        if(match == 0){
-         printf("Error in result line: %d value missing; result: %s, model=%s\n",k1, resultline, model);
+         printf("Error in result line (Product without age second variable): V%d is missing in result: %s according to model=%s\n",Tvardk[k1][2], resultline, model);
+         fprintf(ficlog,"Error in result line (Product without age second variable): V%d is missing in result : %s according to model=%s\n",Tvardk[k1][2], resultline, model);
+         return 1;
        }
-     }
+     }/* End of testing */
-   }
+   }/* End loop cptcovt */
    /* Checking for missing or useless values in comparison of current model needs */
-   for(k2=1; k2 <=j;k2++){ /* result line V4=1 V5=24.1 V3=1  V2=8 V1=0 */
+   /* Feeds resultmodel[nres][k1]=k2 for single covariate (k1) in the model equation */
+   for(k2=1; k2 <=j;k2++){ /* j or cptcovs is the number of single covariates used either in the model line as well as in the result line (dummy or quantitative)
+                            * Loop on resultline variables: result line V4=1 V5=24.1 V3=1  V2=8 V1=0 */
      match=0;
-     for(k1=1; k1<= cptcovt ;k1++){ /* model line V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
+     for(k1=1; k1<= cptcovt ;k1++){ /* loop on model: model line V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
-       if(Typevar[k1]==0){ /* Single */
+       if(Typevar[k1]==0){ /* Single only */
          if(Tvar[k1]==Tvarsel[k2]) { /* Tvar[2]=4 == Tvarsel[1]=4   */
-           resultmodel[k1]=k2;  /* resultmodel[2]=1 resultmodel[1]=2  resultmodel[3]=3  resultmodel[6]=4 resultmodel[9]=5 */
+           resultmodel[nres][k1]=k2;  /* k1th position in the model equation corresponds to k2th position in the result line. resultmodel[2]=1 resultmodel[1]=2  resultmodel[3]=3  resultmodel[6]=4 resultmodel[9]=5 */
+           modelresult[nres][k2]=k1; /* k1th position in the model equation corresponds to k2th position in the result line. modelresult[1]=2 modelresult[2]=1  modelresult[3]=3  remodelresult[4]=6 modelresult[5]=9 */
            ++match;
          }
        }
      }
      if(match == 0){
-       printf("Error in result line: %d value missing; result: %s, model=%s\n",k1, resultline, model);
+       printf("Error in result line: variable V%d is missing in model; result: %s, model=%s\n",Tvarsel[k2], resultline, model);
+       fprintf(ficlog,"Error in result line: variable V%d is missing in model; result: %s, model=%s\n",Tvarsel[k2], resultline, model);
+       return 1;
      }else if(match > 1){
        printf("Error in result line: %d doubled; result: %s, model=%s\n",k2, resultline, model);
+       fprintf(ficlog,"Error in result line: %d doubled; result: %s, model=%s\n",k2, resultline, model);
+       return 1;
      }
    }
+   /* cptcovres=j /\* Number of variables in the resultline is equal to cptcovs and thus useless *\/     */
    /* We need to deduce which combination number is chosen and save quantitative values */
    /* model line V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
-   /* result line V4=1 V5=25.1 V3=0  V2=8 V1=1 */
+   /* nres=1st result line: V4=1 V5=25.1 V3=0  V2=8 V1=1 */
-   /* should give a combination of dummy V4=1, V3=0, V1=1 => V4*2**(0) + V3*2**(1) + V1*2**(2) = 5 + (1offset) = 6*/
+   /* should correspond to the combination 6 of dummy: V4=1, V3=0, V1=1 => V4*2**(0) + V3*2**(1) + V1*2**(2) = 1*1 + 0*2 + 1*4 = 5 + (1offset) = 6*/
-   /* result line V4=1 V5=24.1 V3=1  V2=8 V1=0 */
+   /* nres=2nd result line: V4=1 V5=24.1 V3=1  V2=8 V1=0 */
    /* should give a combination of dummy V4=1, V3=1, V1=0 => V4*2**(0) + V3*2**(1) + V1*2**(2) = 3 + (1offset) = 4*/
    /*    1 0 0 0 */
    /*    2 1 0 0 */
    /*    3 0 1 0 */
-   /*    4 1 1 0 */ /* V4=1, V3=1, V1=0 */
+   /*    4 1 1 0 */ /* V4=1, V3=1, V1=0 (nres=2)*/
    /*    5 0 0 1 */
-   /*    6 1 0 1 */ /* V4=1, V3=0, V1=1 */
+   /*    6 1 0 1 */ /* V4=1, V3=0, V1=1 (nres=1)*/
    /*    7 0 1 1 */
    /*    8 1 1 1 */
    /* V(Tvresult)=Tresult V4=1 V3=0 V1=1 Tresult[nres=1][2]=0 */
    /* V(Tvqresult)=Tqresult V5=25.1 V2=8 Tqresult[nres=1][1]=25.1 */
    /* V5*age V5 known which value for nres?  */
    /* Tqinvresult[2]=8 Tqinvresult[1]=25.1  */
-   for(k1=1, k=0, k4=0, k4q=0; k1 <=cptcovt;k1++){ /* model line */
+   for(k1=1, k=0, k4=0, k4q=0; k1 <=cptcovt;k1++){ /* cptcovt number of covariates (excluding 1 and age or age*age) in the MODEL equation.
-     if( Dummy[k1]==0 && Typevar[k1]==0 ){ /* Single dummy */
+                                                    * loop on position k1 in the MODEL LINE */
-       k3= resultmodel[k1]; /* resultmodel[2(V4)] = 1=k3 */
+     /* k counting number of combination of single dummies in the equation model */
-       k2=(int)Tvarsel[k3]; /*  Tvarsel[resultmodel[2]]= Tvarsel[1] = 4=k2 */
+     /* k4 counting single dummies in the equation model */
-       k+=Tvalsel[k3]*pow(2,k4);  /*  Tvalsel[1]=1  */
+     /* k4q counting single quantitatives in the equation model */
-       Tresult[nres][k4+1]=Tvalsel[k3];/* Tresult[nres][1]=1(V4=1)  Tresult[nres][2]=0(V3=0) */
+     if( Dummy[k1]==0 && Typevar[k1]==0 ){ /* Dummy and Single, k1 is sorting according to MODEL, but k3 to resultline */
-       Tvresult[nres][k4+1]=(int)Tvarsel[k3];/* Tvresult[nres][1]=4 Tvresult[nres][3]=1 */
+        /* k4+1= (not always if quant in model) position in the resultline V(Tvarsel)=Tvalsel=Tresult[nres][pos](value); V(Tvresult[nres][pos] (variable): V(variable)=value) */
+       /* modelresult[k3]=k1: k3th position in the result line corresponds to the k1 position in the model line (doesn't work with products)*/
+       /* Value in the (current nres) resultline of the variable at the k1th position in the model equation resultmodel[nres][k1]= k3 */
+       /* resultmodel[nres][k1]=k3: k1th position in the model correspond to the k3 position in the resultline                        */
+       /*      k3 is the position in the nres result line of the k1th variable of the model equation                                  */
+       /* Tvarsel[k3]: Name of the variable at the k3th position in the result line.                                                  */
+       /* Tvalsel[k3]: Value of the variable at the k3th position in the result line.                                                 */
+       /* Tresult[nres][result_position]= value of the dummy variable at the result_position in the nres resultline                   */
+       /* Tvresult[nres][result_position]= name of the dummy variable at the result_position in the nres resultline                     */
+       /* Tinvresult[nres][Name of a dummy variable]= value of the variable in the result line                                        */
+       /* TinvDoQresult[nres][Name of a Dummy or Q variable]= value of the variable in the result line                                                      */
+       k3= resultmodel[nres][k1]; /* From position k1 in model get position k3 in result line */
+       /* nres=1 k1=2 resultmodel[2(V4)] = 1=k3 ; k1=3 resultmodel[3(V3)] = 2=k3*/
+       k2=(int)Tvarsel[k3]; /* from position k3 in resultline get name k2: nres=1 k1=2=>k3=1 Tvarsel[resultmodel[2]]= Tvarsel[1] = 4=k2 (V4); k1=3=>k3=2 Tvarsel[2]=3 (V3)*/
+       k+=Tvalsel[k3]*pow(2,k4);  /* nres=1 k1=2 Tvalsel[1]=1 (V4=1); k1=3 k3=2 Tvalsel[2]=0 (V3=0) */
+       TinvDoQresult[nres][(int)Tvarsel[k3]]=Tvalsel[k3]; /* TinvDoQresult[nres][Name]=Value; stores the value into the name of the variable. */
+       /* Tinvresult[nres][4]=1 */
+       /* Tresult[nres][k4+1]=Tvalsel[k3];/\* Tresult[nres=2][1]=1(V4=1)  Tresult[nres=2][2]=0(V3=0) *\/ */
+       Tresult[nres][k3]=Tvalsel[k3];/* Tresult[nres=2][1]=1(V4=1)  Tresult[nres=2][2]=0(V3=0) */
+       /* Tvresult[nres][k4+1]=(int)Tvarsel[k3];/\* Tvresult[nres][1]=4 Tvresult[nres][3]=1 *\/ */
+       Tvresult[nres][k3]=(int)Tvarsel[k3];/* Tvresult[nres][1]=4 Tvresult[nres][3]=1 */
        Tinvresult[nres][(int)Tvarsel[k3]]=Tvalsel[k3]; /* Tinvresult[nres][4]=1 */
-       printf("Decoderesult Dummy k=%d, V(k2=V%d)= Tvalsel[%d]=%d, 2**(%d)\n",k, k2, k3, (int)Tvalsel[k3], k4);
+       precov[nres][k1]=Tvalsel[k3]; /* Value from resultline of the variable at the k1 position in the model */
+       printf("Decoderesult Dummy k=%d, k1=%d precov[nres=%d][k1=%d]=%.f V(k2=V%d)= Tvalsel[%d]=%d, 2**(%d)\n",k, k1, nres, k1,precov[nres][k1], k2, k3, (int)Tvalsel[k3], k4);
        k4++;;
-     }  else if( Dummy[k1]==1 && Typevar[k1]==0 ){ /* Single quantitative */
+     }else if( Dummy[k1]==1 && Typevar[k1]==0 ){ /* Quantitative and single */
-       k3q= resultmodel[k1]; /* resultmodel[2] = 1=k3 */
+       /* Tqresult[nres][result_position]= value of the variable at the result_position in the nres resultline                                 */
-       k2q=(int)Tvarsel[k3q]; /*  Tvarsel[resultmodel[2]]= Tvarsel[1] = 4=k2 */
+       /* Tvqresult[nres][result_position]= id of the variable at the result_position in the nres resultline                                 */
-       Tqresult[nres][k4q+1]=Tvalsel[k3q]; /* Tqresult[nres][1]=25.1 */
+       /* Tqinvresult[nres][Name of a quantitative variable]= value of the variable in the result line                                                      */
-       Tvqresult[nres][k4q+1]=(int)Tvarsel[k3q]; /* Tvqresult[nres][1]=5 */
+       k3q= resultmodel[nres][k1]; /* resultmodel[1(V5)] = 5 =k3q */
+       k2q=(int)Tvarsel[k3q]; /*  Name of variable at k3q th position in the resultline */
+       /* Tvarsel[resultmodel[1]]= Tvarsel[1] = 4=k2 */
+       /* Tqresult[nres][k4q+1]=Tvalsel[k3q]; /\* Tqresult[nres][1]=25.1 *\/ */
+       /* Tvresult[nres][k4q+1]=(int)Tvarsel[k3q];/\* Tvresult[nres][1]=4 Tvresult[nres][3]=1 *\/ */
+       /* Tvqresult[nres][k4q+1]=(int)Tvarsel[k3q]; /\* Tvqresult[nres][1]=5 *\/ */
+       Tqresult[nres][k3q]=Tvalsel[k3q]; /* Tqresult[nres][1]=25.1 */
+       Tvresult[nres][k3q]=(int)Tvarsel[k3q];/* Tvresult[nres][1]=4 Tvresult[nres][3]=1 */
+       Tvqresult[nres][k3q]=(int)Tvarsel[k3q]; /* Tvqresult[nres][1]=5 */
        Tqinvresult[nres][(int)Tvarsel[k3q]]=Tvalsel[k3q]; /* Tqinvresult[nres][5]=25.1 */
-       printf("Decoderesult Quantitative nres=%d, V(k2q=V%d)= Tvalsel[%d]=%d, Tvarsel[%d]=%f\n",nres, k2q, k3q, Tvarsel[k3q], k3q, Tvalsel[k3q]);
+       TinvDoQresult[nres][(int)Tvarsel[k3q]]=Tvalsel[k3q]; /* Tqinvresult[nres][5]=25.1 */
+       precov[nres][k1]=Tvalsel[k3q];
+       printf("Decoderesult Quantitative nres=%d,precov[nres=%d][k1=%d]=%.f V(k2q=V%d)= Tvalsel[%d]=%d, Tvarsel[%d]=%f\n",nres, nres, k1,precov[nres][k1], k2q, k3q, Tvarsel[k3q], k3q, Tvalsel[k3q]);
        k4q++;;
+     }else if( Dummy[k1]==2 ){ /* For dummy with age product */
+       /* Tvar[k1]; */ /* Age variable */
+       /* Wrong we want the value of variable name Tvar[k1] */
+       k3= resultmodel[nres][k1]; /* nres=1 k1=2 resultmodel[2(V4)] = 1=k3 ; k1=3 resultmodel[3(V3)] = 2=k3*/
+       k2=(int)Tvarsel[k3]; /* nres=1 k1=2=>k3=1 Tvarsel[resultmodel[2]]= Tvarsel[1] = 4=k2 (V4); k1=3=>k3=2 Tvarsel[2]=3 (V3)*/
+       TinvDoQresult[nres][(int)Tvarsel[k3]]=Tvalsel[k3]; /* TinvDoQresult[nres][4]=1 */
+       precov[nres][k1]=Tvalsel[k3];
+       printf("Decoderesult Dummy with age k=%d, k1=%d precov[nres=%d][k1=%d]=%.f Tvar[%d]=V%d k2=Tvarsel[%d]=%d Tvalsel[%d]=%d\n",k, k1, nres, k1,precov[nres][k1], k1, Tvar[k1], k3,(int)Tvarsel[k3], k3, (int)Tvalsel[k3]);
+     }else if( Dummy[k1]==3 ){ /* For quant with age product */
+       k3q= resultmodel[nres][k1]; /* resultmodel[1(V5)] = 25.1=k3q */
+       k2q=(int)Tvarsel[k3q]; /*  Tvarsel[resultmodel[1]]= Tvarsel[1] = 4=k2 */
+       TinvDoQresult[nres][(int)Tvarsel[k3q]]=Tvalsel[k3q]; /* TinvDoQresult[nres][5]=25.1 */
+       precov[nres][k1]=Tvalsel[k3q];
+       printf("Decoderesult Quantitative with age nres=%d, k1=%d, precov[nres=%d][k1=%d]=%f Tvar[%d]=V%d V(k2q=%d)= Tvarsel[%d]=%d, Tvalsel[%d]=%f\n",nres, k1, nres, k1,precov[nres][k1], k1,  Tvar[k1], k2q, k3q, Tvarsel[k3q], k3q, Tvalsel[k3q]);
+     }else if(Typevar[k1]==2 ){ /* For product quant or dummy (not with age) */
+       precov[nres][k1]=TinvDoQresult[nres][Tvardk[k1][1]] * TinvDoQresult[nres][Tvardk[k1][2]];
+       printf("Decoderesult Quantitative or Dummy (not with age) nres=%d k1=%d precov[nres=%d][k1=%d]=%.f V%d(=%.f) * V%d(=%.f) \n",nres, k1, nres, k1,precov[nres][k1], Tvardk[k1][1], TinvDoQresult[nres][Tvardk[k1][1]], Tvardk[k1][2], TinvDoQresult[nres][Tvardk[k1][2]]);
+     }else{
+       printf("Error Decoderesult probably a product  Dummy[%d]==%d && Typevar[%d]==%d\n", k1, Dummy[k1], k1, Typevar[k1]);
+       fprintf(ficlog,"Error Decoderesult probably a product  Dummy[%d]==%d && Typevar[%d]==%d\n", k1, Dummy[k1], k1, Typevar[k1]);
      }
    }
-   TKresult[nres]=++k; /* Combination for the nresult and the model */
+   TKresult[nres]=++k; /* Number of combinations of dummies for the nresult and the model =Tvalsel[k3]*pow(2,k4) + 1*/
    return (0);
  }
- Line 8616  int decodemodel( char model[], int lasto
+ Line 10703  int decodemodel( char model[], int lasto
          * - 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
+         * - 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 .
          */
+ /* V2+V1+V4+V3*age Tvar[4]=3 ; V1+V2*age Tvar[2]=2; V1+V1*age Tvar[2]=1, Tage[1]=2 */
  {
    int i, j, k, ks, v;
    int  j1, k1, k2, k3, k4;
- Line 8698  int decodemodel( char model[], int lasto
+ Line 10786  int decodemodel( char model[], int lasto
         *       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 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?
+        *How to reorganize? Tvars(orted)
         * 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}
- Line 8728  int decodemodel( char model[], int lasto
+ Line 10816  int decodemodel( char model[], int lasto
          Tvar[k]=0; Tprod[k]=0; Tposprod[k]=0;
        }
        cptcovage=0;
-       for(k=1; k<=cptcovt;k++){ /* Loop on total covariates of the model */
+       for(k=1; k<=cptcovt;k++){ /* Loop on total covariates of the model line */
-         cutl(stra,strb,modelsav,'+'); /* keeps in strb after the first '+'
+         cutl(stra,strb,modelsav,'+'); /* keeps in strb after the first '+' cutl from left to right
-                                          modelsav==V2+V1+V4+V3*age strb=V3*age stra=V2+V1+V4 */
+                                          modelsav==V2+V1+V5*age+V4+V3*age strb=V3*age stra=V2+V1V5*age+V4 */    /* <model> "V5+V4+V3+V4*V3+V5*age+V1*age+V1" strb="V5" stra="V4+V3+V4*V3+V5*age+V1*age+V1" */
-         if (nbocc(modelsav,'+')==0) strcpy(strb,modelsav); /* and analyzes it */
+         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 */
+         if (strchr(strb,'*')) {  /**< Model includes a product V2+V1+V5*age+ 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 */
+           cutl(strc,strd,strb,'*'); /**< k=1 strd*strc  Vm*Vn: strb=V3*age(input) strc=age strd=V3 ; V3*V2 strc=V2, strd=V3 */
            if (strcmp(strc,"age")==0) { /**< Model includes age: Vn*age */
              /* covar is not filled and then is empty */
              cptcovprod--;
              cutl(stre,strb,strd,'V'); /* strd=V3(input): stre="3" */
-             Tvar[k]=atoi(stre);  /* V2+V1+V4+V3*age Tvar[4]=3 ; V1+V2*age Tvar[2]=2; V1+V1*age Tvar[2]=1 */
+             Tvar[k]=atoi(stre);  /* V2+V1+V5*age+V4+V3*age Tvar[5]=3 ; V1+V2*age Tvar[2]=2; V1+V1*age Tvar[2]=1 */
              Typevar[k]=1;  /* 1 for age product */
-             cptcovage++; /* Sums the number of covariates which include age as a product */
+             cptcovage++; /* Counts the number of covariates which include age as a product */
-             Tage[cptcovage]=k;  /* Tvar[4]=3, Tage[1] = 4 or V1+V1*age Tvar[2]=1, Tage[1]=2 */
+             Tage[cptcovage]=k;  /*  V2+V1+V4+V3*age Tvar[4]=3, Tage[1] = 4 or V1+V1*age Tvar[2]=1, Tage[1]=2 */
              /*printf("stre=%s ", stre);*/
            } else if (strcmp(strd,"age")==0) { /* or age*Vn */
              cptcovprod--;
- Line 8760  int decodemodel( char model[], int lasto
+ Line 10849  int decodemodel( char model[], int lasto
              Tvar[k]=ncovcol+nqv+ntv+nqtv+k1; /* For model-covariate k tells which data-covariate to use but
                                                  because this model-covariate is a construction we invent a new column
                                                  which is after existing variables ncovcol+nqv+ntv+nqtv + k1
-                                                 If already ncovcol=4 and model=V2+V1+V1*V4+age*V3+V3*V2
+                                                 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 */
+                                                 thus after V4 we invent V5 and V6 because age*V3 will be computed in 4
+                                                 Tvar[3=V1*V4]=4+1=5 Tvar[5=V3*V2]=4 + 2= 6, Tvar[4=age*V3]=4 etc */
+             /* Please remark that the new variables are model dependent */
+             /* If we have 4 variable but the model uses only 3, like in
+              * model= V1 + age*V1 + V2 + V3 + age*V2 + age*V3 + V1*V2 + V1*V3
+              *  k=     1     2       3   4     5        6        7       8
+              * Tvar[k]=1     1       2   3     2        3       (5       6) (and not 4 5 because of V4 missing)
+              * Tage[kk]    [1]= 2           [2]=5      [3]=6                  kk=1 to cptcovage=3
+              * Tvar[Tage[kk]][1]=2          [2]=2      [3]=3
+              */
              Typevar[k]=2;  /* 2 for double fixed dummy covariates */
              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  */
-             Tposprod[k]=k1; /* Tpsprod[3]=1, Tposprod[2]=5 */
+             Tposprod[k]=k1; /* Tposprod[3]=1, Tposprod[2]=5 */
              Tvard[k1][1] =atoi(strc); /* m 1 for V1*/
+             Tvardk[k][1] =atoi(strc); /* m 1 for V1*/
              Tvard[k1][2] =atoi(stre); /* n 4 for V4*/
+             Tvardk[k][2] =atoi(stre); /* n 4 for V4*/
              k2=k2+2;  /* k2 is initialize to -1, We want to store the n and m in Vn*Vm at the end of Tvar */
              /* 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) *\/ */
- Line 8780  int decodemodel( char model[], int lasto
+ Line 10880  int decodemodel( char model[], int lasto
              }
            } /* End age is not in the model */
          } /* End if model includes a product */
-         else { /* no more sum */
+         else { /* not a product */
            /*printf("d=%s c=%s b=%s\n", strd,strc,strb);*/
            /*  scanf("%d",i);*/
            cutl(strd,strc,strb,'V');
- Line 8811  int decodemodel( char model[], int lasto
+ Line 10911  int decodemodel( char model[], int lasto
     model=        V5 + V4 +V3 + V4*V3 + V5*age + V2 + V1*V2 + V1*age + V5*age, V1 is not used saving its place
     k =           1    2   3     4       5       6      7      8        9
     Tvar[k]=      5    4   3 1+1+2+1+1=6 5       2      7      1        5
-    Typevar[k]=   0    0   0     2       1       0      2      1        1
+    Typevar[k]=   0    0   0     2       1       0      2      1        0
     Fixed[k]      1    1   1     1       3       0    0 or 2   2        3
     Dummy[k]      1    0   0     0       3       1      1      2        3
            Tmodelind[combination of covar]=k;
- Line 8820  int decodemodel( char model[], int lasto
+ Line 10920  int decodemodel( char model[], int lasto
    /* If Tvar[k] >ncovcol it is a product */
    /* Tvar[k] is the value n of Vn with n varying for 1 to nvcol, or p  Vp=Vn*Vm for product */
          /* Computing effective variables, ie used by the model, that is from the cptcovt variables */
-   printf("Model=%s\n\
+   printf("Model=1+age+%s\n\
  Typevar: 0 for simple covariate (dummy, quantitative, fixed or varying), 1 for age product, 2 for  product \n\
  Fixed[k] 0=fixed (product or simple), 1 varying, 2 fixed with age product, 3 varying with age product \n\
  Dummy[k] 0=dummy (0 1), 1 quantitative (single or product without age), 2 dummy with age product, 3 quant with age product\n",model);
-   fprintf(ficlog,"Model=%s\n\
+   fprintf(ficlog,"Model=1+age+%s\n\
  Typevar: 0 for simple covariate (dummy, quantitative, fixed or varying), 1 for age product, 2 for  product \n\
  Fixed[k] 0=fixed (product or simple), 1 varying, 2 fixed with age product, 3 varying with age product \n\
  Dummy[k] 0=dummy (0 1), 1 quantitative (single or product without age), 2 dummy with age product, 3 quant with age product\n",model);
-   for(k=1;k<=cptcovt; k++){ Fixed[k]=0; Dummy[k]=0;}
+   for(k=-1;k<=cptcovt; k++){ Fixed[k]=0; Dummy[k]=0;}
    for(k=1, ncovf=0, nsd=0, nsq=0, ncovv=0, ncova=0, ncoveff=0, nqfveff=0, ntveff=0, nqtveff=0;k<=cptcovt; k++){ /* or cptocvt */
      if (Tvar[k] <=ncovcol && Typevar[k]==0 ){ /* Simple fixed dummy (<=ncovcol) covariates */
        Fixed[k]= 0;
- Line 8839  Dummy[k] 0=dummy (0 1), 1 quantitative (
+ Line 10939  Dummy[k] 0=dummy (0 1), 1 quantitative (
        modell[k].maintype= FTYPE;
        TvarsD[nsd]=Tvar[k];
        TvarsDind[nsd]=k;
+       TnsdVar[Tvar[k]]=nsd;
        TvarF[ncovf]=Tvar[k];
        TvarFind[ncovf]=k;
        TvarFD[ncoveff]=Tvar[k]; /* TvarFD[1]=V1 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
- Line 8850  Dummy[k] 0=dummy (0 1), 1 quantitative (
+ Line 10951  Dummy[k] 0=dummy (0 1), 1 quantitative (
        ncovf++;
        modell[k].maintype= FTYPE;
        TvarF[ncovf]=Tvar[k];
+       /* TnsdVar[Tvar[k]]=nsd; */ /* To be done */
        TvarFind[ncovf]=k;
        TvarFD[ncoveff]=Tvar[k]; /* TvarFD[1]=V1 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
        TvarFDind[ncoveff]=k; /* TvarFDind[1]=9 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
- Line 8860  Dummy[k] 0=dummy (0 1), 1 quantitative (
+ Line 10962  Dummy[k] 0=dummy (0 1), 1 quantitative (
        modell[k].maintype= FTYPE;
        modell[k].subtype= FQ;
        nsq++;
-       TvarsQ[nsq]=Tvar[k];
+       TvarsQ[nsq]=Tvar[k]; /* Gives the variable name (extended to products) of first nsq simple quantitative covariates (fixed or time vary see below */
-       TvarsQind[nsq]=k;
+       TvarsQind[nsq]=k;    /* Gives the position in the model equation of the first nsq simple quantitative covariates (fixed or time vary) */
        ncovf++;
        TvarF[ncovf]=Tvar[k];
        TvarFind[ncovf]=k;
- Line 8876  Dummy[k] 0=dummy (0 1), 1 quantitative (
+ Line 10978  Dummy[k] 0=dummy (0 1), 1 quantitative (
        nsd++;
        TvarsD[nsd]=Tvar[k];
        TvarsDind[nsd]=k;
+       TnsdVar[Tvar[k]]=nsd; /* To be verified */
        ncovv++; /* Only simple time varying variables */
        TvarV[ncovv]=Tvar[k];
        TvarVind[ncovv]=k; /* TvarVind[2]=2  TvarVind[3]=3 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Any time varying singele */
- Line 8891  Dummy[k] 0=dummy (0 1), 1 quantitative (
+ Line 10994  Dummy[k] 0=dummy (0 1), 1 quantitative (
        modell[k].subtype= VQ;
        ncovv++; /* Only simple time varying variables */
        nsq++;
-       TvarsQ[nsq]=Tvar[k];
+       TvarsQ[nsq]=Tvar[k]; /* k=1 Tvar=5 nsq=1 TvarsQ[1]=5 */ /* Gives the variable name (extended to products) of first nsq simple quantitative covariates (fixed or time vary here) */
-       TvarsQind[nsq]=k;
+       TvarsQind[nsq]=k; /* For single quantitative covariate gives the model position of each single quantitative covariate *//* Gives the position in the model equation of the first nsq simple quantitative covariates (fixed or time vary) */
        TvarV[ncovv]=Tvar[k];
        TvarVind[ncovv]=k; /* TvarVind[1]=1 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Any time varying singele */
        TvarVQ[nqtveff]=Tvar[k]; /* TvarVQ[1]=V5 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple time varying quantitative variable */
- Line 9078  Dummy[k] 0=dummy (0 1), 1 quantitative (
+ Line 11181  Dummy[k] 0=dummy (0 1), 1 quantitative (
    /* Searching for doublons in the model */
    for(k1=1; k1<= cptcovt;k1++){
      for(k2=1; k2 <k1;k2++){
-       if((Typevar[k1]==Typevar[k2]) && (Fixed[Tvar[k1]]==Fixed[Tvar[k2]]) && (Dummy[Tvar[k1]]==Dummy[Tvar[k2]] )){
+       /* if((Typevar[k1]==Typevar[k2]) && (Fixed[Tvar[k1]]==Fixed[Tvar[k2]]) && (Dummy[Tvar[k1]]==Dummy[Tvar[k2]] )){ */
+       if((Typevar[k1]==Typevar[k2]) && (Fixed[k1]==Fixed[k2]) && (Dummy[k1]==Dummy[k2] )){
          if((Typevar[k1] == 0 || Typevar[k1] == 1)){ /* Simple or age product */
            if(Tvar[k1]==Tvar[k2]){
-             printf("Error duplication in the model=%s at positions (+) %d and %d, Tvar[%d]=V%d, Tvar[%d]=V%d, Typevar=%d, Fixed=%d, Dummy=%d\n", model, k1,k2, k1, Tvar[k1], k2, Tvar[k2],Typevar[k1],Fixed[Tvar[k1]],Dummy[Tvar[k1]]);
+             printf("Error duplication in the model=%s at positions (+) %d and %d, Tvar[%d]=V%d, Tvar[%d]=V%d, Typevar=%d, Fixed=%d, Dummy=%d\n", model, k1,k2, k1, Tvar[k1], k2, Tvar[k2],Typevar[k1],Fixed[k1],Dummy[k1]);
-             fprintf(ficlog,"Error duplication in the model=%s at positions (+) %d and %d, Tvar[%d]=V%d, Tvar[%d]=V%d, Typevar=%d, Fixed=%d, Dummy=%d\n", model, k1,k2, k1, Tvar[k1], k2, Tvar[k2],Typevar[k1],Fixed[Tvar[k1]],Dummy[Tvar[k1]]); fflush(ficlog);
+             fprintf(ficlog,"Error duplication in the model=%s at positions (+) %d and %d, Tvar[%d]=V%d, Tvar[%d]=V%d, Typevar=%d, Fixed=%d, Dummy=%d\n", model, k1,k2, k1, Tvar[k1], k2, Tvar[k2],Typevar[k1],Fixed[k1],Dummy[k1]); fflush(ficlog);
              return(1);
            }
          }else if (Typevar[k1] ==2){
- Line 9254  BOOL IsWow64()
+ Line 11358  BOOL IsWow64()
  #endif
  void syscompilerinfo(int logged)
-  {
+ {
-    /* #include "syscompilerinfo.h"*/
+ #include <stdint.h>
+   /* #include "syscompilerinfo.h"*/
     /* command line Intel compiler 32bit windows, XP compatible:*/
     /* /GS /W3 /Gy
        /Zc:wchar_t /Zi /O2 /Fd"Release\vc120.pdb" /D "WIN32" /D "NDEBUG" /D
- Line 9290  void syscompilerinfo(int logged)
+ Line 11396  void syscompilerinfo(int logged)
        /ManifestFile:"Release\IMaCh.exe.intermediate.manifest" /OPT:ICF
        /NOLOGO /TLBID:1
     */
  #if defined __INTEL_COMPILER
  #if defined(__GNUC__)
          struct utsname sysInfo;  /* For Intel on Linux and OS/X */
- Line 9306  void syscompilerinfo(int logged)
+ Line 11414  void syscompilerinfo(int logged)
     }
  #endif
- #include <stdint.h>
     printf("Compiled with:");if(logged)fprintf(ficlog,"Compiled with:");
  #if defined(__clang__)
     printf(" Clang/LLVM");if(logged)fprintf(ficlog," Clang/LLVM");       /* Clang/LLVM. ---------------------------------------------- */
- Line 9393  void syscompilerinfo(int logged)
+ Line 11499  void syscompilerinfo(int logged)
  #endif
  #endif
-    //   void main()
+    //   void main ()
     //   {
  #if defined(_MSC_VER)
     if (IsWow64()){
- Line 9414  void syscompilerinfo(int logged)
+ Line 11520  void syscompilerinfo(int logged)
  }
  int prevalence_limit(double *p, double **prlim, double ageminpar, double agemaxpar, double ftolpl, int *ncvyearp){
-   /*--------------- Prevalence limit  (period or stable prevalence) --------------*/
+   /*--------------- Prevalence limit  (forward period or forward stable prevalence) --------------*/
+   /* Computes the prevalence limit for each combination of the dummy covariates */
    int i, j, k, i1, k4=0, nres=0 ;
    /* double ftolpl = 1.e-10; */
    double age, agebase, agelim;
- Line 9423  int prevalence_limit(double *p, double *
+ Line 11530  int prevalence_limit(double *p, double *
    strcpy(filerespl,"PL_");
    strcat(filerespl,fileresu);
    if((ficrespl=fopen(filerespl,"w"))==NULL) {
-     printf("Problem with period (stable) prevalence resultfile: %s\n", filerespl);return 1;
+     printf("Problem with forward period (stable) prevalence resultfile: %s\n", filerespl);return 1;
-     fprintf(ficlog,"Problem with period (stable) prevalence resultfile: %s\n", filerespl);return 1;
+     fprintf(ficlog,"Problem with forward period (stable) prevalence resultfile: %s\n", filerespl);return 1;
    }
-   printf("\nComputing period (stable) prevalence: result on file '%s' \n", filerespl);
+   printf("\nComputing forward period (stable) prevalence: result on file '%s' \n", filerespl);
-   fprintf(ficlog,"\nComputing period (stable) prevalence: result on file '%s' \n", filerespl);
+   fprintf(ficlog,"\nComputing forward period (stable) prevalence: result on file '%s' \n", filerespl);
    pstamp(ficrespl);
-   fprintf(ficrespl,"# Period (stable) prevalence. Precision given by ftolpl=%g \n", ftolpl);
+   fprintf(ficrespl,"# Forward period (stable) prevalence. Precision given by ftolpl=%g \n", ftolpl);
    fprintf(ficrespl,"#Age ");
    for(i=1; i<=nlstate;i++) fprintf(ficrespl,"%d-%d ",i,i);
    fprintf(ficrespl,"\n");
- Line 9443  int prevalence_limit(double *p, double *
+ Line 11550  int prevalence_limit(double *p, double *
    i1=pow(2,cptcoveff); /* Number of combination of dummy covariates */
    if (cptcovn < 1){i1=1;}
-   for(k=1; k<=i1;k++){ /* For each combination k of dummy covariates in the model */
+   /* for(k=1; k<=i1;k++){ /\* For each combination k of dummy covariates in the model *\/ */
      for(nres=1; nres <= nresult; nres++){ /* For each resultline */
-       if(i1 != 1 && TKresult[nres]!= k)
+       k=TKresult[nres];
-         continue;
+       /* if(i1 != 1 && TKresult[nres]!= k) /\* We found the combination k corresponding to the resultline value of dummies *\/ */
+       /*        continue; */
        /* for(cptcov=1,k=0;cptcov<=i1;cptcov++){ */
        /* for(cptcov=1,k=0;cptcov<=1;cptcov++){ */
        //for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){
        /* k=k+1; */
        /* to clean */
-       //printf("cptcov=%d cptcod=%d codtab=%d\n",cptcov, cptcod,codtabm(cptcod,cptcov));
+       /*printf("cptcov=%d cptcod=%d codtab=%d\n",cptcov, cptcod,codtabm(cptcod,cptcov));*/
        fprintf(ficrespl,"#******");
        printf("#******");
        fprintf(ficlog,"#******");
-       for(j=1;j<=cptcoveff ;j++) {/* all covariates */
+       for(j=1;j<=cptcovs ;j++) {/**< cptcovs number of SIMPLE covariates in the model or resultline V2+V1 =2 (dummy or quantit or time varying) */
-         fprintf(ficrespl," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]); /* Here problem for varying dummy*/
+         /* fprintf(ficrespl," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,Tvaraff[j])]); /\* Here problem for varying dummy*\/ */
-         printf(" V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
+         /* printf(" V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,TnsdVar[Tvaraff[j]])]); */
-         fprintf(ficlog," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
+         /* fprintf(ficlog," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,TnsdVar[Tvaraff[j]])]); */
-       }
+         fprintf(ficrespl," V%d=%lg ",Tvresult[nres][j],TinvDoQresult[nres][Tvresult[nres][j]]);
-       for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
+         printf(" V%d=%lg ",Tvresult[nres][j],TinvDoQresult[nres][Tvresult[nres][j]]);
-         printf(" V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
+         fprintf(ficlog," V%d=%lg ",Tvresult[nres][j],TinvDoQresult[nres][Tvresult[nres][j]]);
-         fprintf(ficrespl," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
+       }
-         fprintf(ficlog," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
+       /* for (k4=1; k4<= nsq; k4++){ /\* For each selected (single) quantitative value *\/ */
-       }
+       /*        printf(" V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]); */
+       /*        fprintf(ficrespl," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]); */
+       /*        fprintf(ficlog," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]); */
+       /* } */
        fprintf(ficrespl,"******\n");
        printf("******\n");
        fprintf(ficlog,"******\n");
- Line 9478  int prevalence_limit(double *p, double *
+ Line 11589  int prevalence_limit(double *p, double *
        }
        fprintf(ficrespl,"#Age ");
-       for(j=1;j<=cptcoveff;j++) {
+       /* for(j=1;j<=cptcoveff;j++) { */
-         fprintf(ficrespl,"V%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
+       /*        fprintf(ficrespl,"V%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,TnsdVar[Tvaraff[j]])]); */
+       /* } */
+       for(j=1;j<=cptcovs;j++) { /* New the quanti variable is added */
+         fprintf(ficrespl,"V%d %lg ",Tvresult[nres][j],TinvDoQresult[nres][Tvresult[nres][j]]);
        }
        for(i=1; i<=nlstate;i++) fprintf(ficrespl,"  %d-%d   ",i,i);
        fprintf(ficrespl,"Total Years_to_converge\n");
        for (age=agebase; age<=agelim; age++){
          /* for (age=agebase; age<=agebase; age++){ */
-         prevalim(prlim, nlstate, p, age, oldm, savm, ftolpl, ncvyearp, k, nres);
+         /**< Computes the prevalence limit in each live state at age x and for covariate combination (k and) nres */
+         prevalim(prlim, nlstate, p, age, oldm, savm, ftolpl, ncvyearp, k, nres); /* Nicely done */
          fprintf(ficrespl,"%.0f ",age );
-         for(j=1;j<=cptcoveff;j++)
+         /* for(j=1;j<=cptcoveff;j++) */
-           fprintf(ficrespl,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
+         /*   fprintf(ficrespl,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,TnsdVar[Tvaraff[j]])]); */
+         for(j=1;j<=cptcovs;j++)
+           fprintf(ficrespl,"%d %lg ",Tvresult[nres][j],TinvDoQresult[nres][Tvresult[nres][j]]);
          tot=0.;
          for(i=1; i<=nlstate;i++){
            tot +=  prlim[i][i];
- Line 9498  int prevalence_limit(double *p, double *
+ Line 11615  int prevalence_limit(double *p, double *
          fprintf(ficrespl," %.3f %d\n", tot, *ncvyearp);
        } /* Age */
        /* was end of cptcod */
-     } /* cptcov */
+     } /* nres */
-   } /* nres */
+   /* } /\* for each combination *\/ */
    return 0;
  }
  int back_prevalence_limit(double *p, double **bprlim, double ageminpar, double agemaxpar, double ftolpl, int *ncvyearp, double dateprev1,double dateprev2, int firstpass, int lastpass, int mobilavproj){
-         /*--------------- Back Prevalence limit  (period or stable prevalence) --------------*/
+         /*--------------- Back Prevalence limit  (backward stable prevalence) --------------*/
          /* Computes the back prevalence limit  for any combination      of covariate values
     * at any age between ageminpar and agemaxpar
- Line 9519  int back_prevalence_limit(double *p, dou
+ Line 11636  int back_prevalence_limit(double *p, dou
    strcpy(fileresplb,"PLB_");
    strcat(fileresplb,fileresu);
    if((ficresplb=fopen(fileresplb,"w"))==NULL) {
-     printf("Problem with period (stable) back prevalence resultfile: %s\n", fileresplb);return 1;
+     printf("Problem with backward prevalence resultfile: %s\n", fileresplb);return 1;
-     fprintf(ficlog,"Problem with period (stable) back prevalence resultfile: %s\n", fileresplb);return 1;
+     fprintf(ficlog,"Problem with backward prevalence resultfile: %s\n", fileresplb);return 1;
    }
-   printf("Computing period (stable) back prevalence: result on file '%s' \n", fileresplb);
+   printf("Computing backward prevalence: result on file '%s' \n", fileresplb);
-   fprintf(ficlog,"Computing period (stable) back prevalence: result on file '%s' \n", fileresplb);
+   fprintf(ficlog,"Computing backward prevalence: result on file '%s' \n", fileresplb);
    pstamp(ficresplb);
-   fprintf(ficresplb,"# Period (stable) back prevalence. Precision given by ftolpl=%g \n", ftolpl);
+   fprintf(ficresplb,"# Backward prevalence. Precision given by ftolpl=%g \n", ftolpl);
    fprintf(ficresplb,"#Age ");
    for(i=1; i<=nlstate;i++) fprintf(ficresplb,"%d-%d ",i,i);
    fprintf(ficresplb,"\n");
- Line 9544  int back_prevalence_limit(double *p, dou
+ Line 11661  int back_prevalence_limit(double *p, dou
      for(k=1; k<=i1;k++){ /* For any combination of dummy covariates, fixed and varying */
       if(i1 != 1 && TKresult[nres]!= k)
          continue;
-       //printf("cptcov=%d cptcod=%d codtab=%d\n",cptcov, cptcod,codtabm(cptcod,cptcov));
+      /*printf("cptcov=%d cptcod=%d codtab=%d\n",cptcov, cptcod,codtabm(cptcod,cptcov));*/
        fprintf(ficresplb,"#******");
        printf("#******");
        fprintf(ficlog,"#******");
        for(j=1;j<=cptcoveff ;j++) {/* all covariates */
-         fprintf(ficresplb," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
+         fprintf(ficresplb," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,TnsdVar[Tvaraff[j]])]);
-         printf(" V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
+         printf(" V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,TnsdVar[Tvaraff[j]])]);
-         fprintf(ficlog," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
+         fprintf(ficlog," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,TnsdVar[Tvaraff[j]])]);
        }
        for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
-         printf(" V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
+         printf(" V%d=%f ",Tvqresult[nres][j],Tqresult[nres][resultmodel[nres][j]]);
-         fprintf(ficresplb," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
+         fprintf(ficresplb," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][resultmodel[nres][j]]);
-         fprintf(ficlog," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
+         fprintf(ficlog," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][resultmodel[nres][j]]);
        }
        fprintf(ficresplb,"******\n");
        printf("******\n");
- Line 9570  int back_prevalence_limit(double *p, dou
+ Line 11687  int back_prevalence_limit(double *p, dou
        fprintf(ficresplb,"#Age ");
        for(j=1;j<=cptcoveff;j++) {
-         fprintf(ficresplb,"V%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
+         fprintf(ficresplb,"V%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,TnsdVar[Tvaraff[j]])]);
        }
        for(i=1; i<=nlstate;i++) fprintf(ficresplb,"  %d-%d   ",i,i);
        fprintf(ficresplb,"Total Years_to_converge\n");
- Line 9589  int back_prevalence_limit(double *p, dou
+ Line 11706  int back_prevalence_limit(double *p, dou
          }else{
            /* bprevalim(bprlim, probs, nlstate, p, age, oldm, savm, dnewm, doldm, dsavm, ftolpl, ncvyearp, k); */
            bprevalim(bprlim, probs, nlstate, p, age, ftolpl, ncvyearp, k,nres);
+           /* printf("TOTOT\n"); */
+           /* exit(1); */
          }
          fprintf(ficresplb,"%.0f ",age );
          for(j=1;j<=cptcoveff;j++)
-           fprintf(ficresplb,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
+           fprintf(ficresplb,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,TnsdVar[Tvaraff[j]])]);
          tot=0.;
          for(i=1; i<=nlstate;i++){
            tot +=  bprlim[i][i];
- Line 9612  int back_prevalence_limit(double *p, dou
+ Line 11731  int back_prevalence_limit(double *p, dou
  int hPijx(double *p, int bage, int fage){
      /*------------- h Pij x at various ages ------------*/
+   /* to be optimized with precov */
    int stepsize;
    int agelim;
    int hstepm;
- Line 9622  int hPijx(double *p, int bage, int fage)
+ Line 11741  int hPijx(double *p, int bage, int fage)
    double agedeb;
    double ***p3mat;
-     strcpy(filerespij,"PIJ_");  strcat(filerespij,fileresu);
+   strcpy(filerespij,"PIJ_");  strcat(filerespij,fileresu);
-     if((ficrespij=fopen(filerespij,"w"))==NULL) {
+   if((ficrespij=fopen(filerespij,"w"))==NULL) {
-       printf("Problem with Pij resultfile: %s\n", filerespij); return 1;
+     printf("Problem with Pij resultfile: %s\n", filerespij); return 1;
-       fprintf(ficlog,"Problem with Pij resultfile: %s\n", filerespij); return 1;
+     fprintf(ficlog,"Problem with Pij resultfile: %s\n", filerespij); return 1;
-     }
+   }
-     printf("Computing pij: result on file '%s' \n", filerespij);
+   printf("Computing pij: result on file '%s' \n", filerespij);
-     fprintf(ficlog,"Computing pij: result on file '%s' \n", filerespij);
+   fprintf(ficlog,"Computing pij: result on file '%s' \n", filerespij);
-     stepsize=(int) (stepm+YEARM-1)/YEARM;
+   stepsize=(int) (stepm+YEARM-1)/YEARM;
-     /*if (stepm<=24) stepsize=2;*/
+   /*if (stepm<=24) stepsize=2;*/
-     agelim=AGESUP;
+   agelim=AGESUP;
-     hstepm=stepsize*YEARM; /* Every year of age */
+   hstepm=stepsize*YEARM; /* Every year of age */
-     hstepm=hstepm/stepm; /* Typically 2 years, = 2/6 months = 4 */
+   hstepm=hstepm/stepm; /* Typically 2 years, = 2/6 months = 4 */
-     /* hstepm=1;   aff par mois*/
+   /* hstepm=1;   aff par mois*/
-     pstamp(ficrespij);
+   pstamp(ficrespij);
-     fprintf(ficrespij,"#****** h Pij x Probability to be in state j at age x+h being in i at x ");
+   fprintf(ficrespij,"#****** h Pij x Probability to be in state j at age x+h being in i at x ");
-     i1= pow(2,cptcoveff);
+   i1= pow(2,cptcoveff);
-                 /* 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;  */
+   /*    k=k+1;  */
-     for(nres=1; nres <= nresult; nres++) /* For each resultline */
+   for(nres=1; nres <= nresult; nres++){ /* For each resultline */
-     for(k=1; k<=i1;k++){
+     k=TKresult[nres];
-       if(i1 != 1 && TKresult[nres]!= k)
+     /* for(k=1; k<=i1;k++){ */
-         continue;
+     /* if(i1 != 1 && TKresult[nres]!= k) */
-       fprintf(ficrespij,"\n#****** ");
+     /*  continue; */
-       for(j=1;j<=cptcoveff;j++)
+     fprintf(ficrespij,"\n#****** ");
-         fprintf(ficrespij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
+     for(j=1;j<=cptcovs;j++){
-       for (k4=1; k4<= nsq; k4++){ /* For each selected (single) quantitative value */
+       fprintf(ficrespij," V%d=%lg ",Tvresult[nres][j],TinvDoQresult[nres][Tvresult[nres][j]]);
-         printf(" V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
+       /* fprintf(ficrespij,"@wV%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,TnsdVar[Tvaraff[j]])]); */
-         fprintf(ficrespij," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]);
+       /* for (k4=1; k4<= nsq; k4++){ /\* For each selected (single) quantitative value *\/ */
-       }
+       /*        printf(" V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]); */
-       fprintf(ficrespij,"******\n");
+       /*        fprintf(ficrespij," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]); */
+     }
-       for (agedeb=fage; agedeb>=bage; agedeb--){ /* If stepm=6 months */
+     fprintf(ficrespij,"******\n");
-         nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */
-         nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
+     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*YEARM; aff par mois*/
+       nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
-         p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
+       /*          nhstepm=nhstepm*YEARM; aff par mois*/
-         oldm=oldms;savm=savms;
-         hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k, nres);
+       p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
-         fprintf(ficrespij,"# Cov Agex agex+h hpijx with i,j=");
+       oldm=oldms;savm=savms;
+       hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k, nres);
+       fprintf(ficrespij,"# Cov Agex agex+h hpijx with i,j=");
+       for(i=1; i<=nlstate;i++)
+         for(j=1; j<=nlstate+ndeath;j++)
+           fprintf(ficrespij," %1d-%1d",i,j);
+       fprintf(ficrespij,"\n");
+       for (h=0; h<=nhstepm; h++){
+         /*agedebphstep = agedeb + h*hstepm/YEARM*stepm;*/
+         fprintf(ficrespij,"%d %3.f %3.f",k, agedeb, agedeb + h*hstepm/YEARM*stepm );
          for(i=1; i<=nlstate;i++)
            for(j=1; j<=nlstate+ndeath;j++)
-             fprintf(ficrespij," %1d-%1d",i,j);
+             fprintf(ficrespij," %.5f", p3mat[i][j][h]);
-         fprintf(ficrespij,"\n");
-         for (h=0; h<=nhstepm; h++){
-           /*agedebphstep = agedeb + h*hstepm/YEARM*stepm;*/
-           fprintf(ficrespij,"%d %3.f %3.f",k, agedeb, agedeb + h*hstepm/YEARM*stepm );
-           for(i=1; i<=nlstate;i++)
-             for(j=1; j<=nlstate+ndeath;j++)
-               fprintf(ficrespij," %.5f", p3mat[i][j][h]);
-           fprintf(ficrespij,"\n");
-         }
-         free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
          fprintf(ficrespij,"\n");
        }
-       /*}*/
+       free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
+       fprintf(ficrespij,"\n");
      }
-     return 0;
+   }
+   /*}*/
+   return 0;
  }
   int hBijx(double *p, int bage, int fage, double ***prevacurrent){
      /*------------- h Bij x at various ages ------------*/
+     /* To be optimized with precov */
    int stepsize;
    /* int agelim; */
          int ageminl;
- Line 9712  int hPijx(double *p, int bage, int fage)
+ Line 11833  int hPijx(double *p, int bage, int fage)
    /*if (stepm<=24) stepsize=2;*/
    /* agelim=AGESUP; */
-   ageminl=30;
+   ageminl=AGEINF; /* was 30 */
    hstepm=stepsize*YEARM; /* Every year of age */
    hstepm=hstepm/stepm; /* Typically 2 years, = 2/6 months = 4 */
- Line 9724  int hPijx(double *p, int bage, int fage)
+ Line 11845  int hPijx(double *p, int bage, int fage)
    /*    /\*for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*\/ */
    /*    k=k+1;  */
    for(nres=1; nres <= nresult; nres++){ /* For each resultline */
-     for(k=1; k<=i1;k++){ /* For any combination of dummy covariates, fixed and varying */
+     k=TKresult[nres];
-       if(i1 != 1 && TKresult[nres]!= k)
+     /* for(k=1; k<=i1;k++){ /\* For any combination of dummy covariates, fixed and varying *\/ */
-         continue;
+     /*    if(i1 != 1 && TKresult[nres]!= k) */
-       fprintf(ficrespijb,"\n#****** ");
+     /*  continue; */
-       for(j=1;j<=cptcoveff;j++)
+     fprintf(ficrespijb,"\n#****** ");
-         fprintf(ficrespijb,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
+     for(j=1;j<=cptcovs;j++){
-       for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
+       fprintf(ficrespij," V%d=%lg ",Tvresult[nres][j],TinvDoQresult[nres][Tvresult[nres][j]]);
-         fprintf(ficrespijb," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
+       /* for(j=1;j<=cptcoveff;j++) */
-       }
+       /*        fprintf(ficrespijb,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,TnsdVar[Tvaraff[j]])]); */
-       fprintf(ficrespijb,"******\n");
+       /* for (j=1; j<= nsq; j++){ /\* For each selected (single) quantitative value *\/ */
-       if(invalidvarcomb[k]){
+       /*        fprintf(ficrespijb," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][resultmodel[nres][j]]); */
-         fprintf(ficrespijb,"\n#Combination (%d) ignored because no cases \n",k);
+     }
-         continue;
+     fprintf(ficrespijb,"******\n");
-       }
+     if(invalidvarcomb[k]){  /* Is it necessary here? */
+       fprintf(ficrespijb,"\n#Combination (%d) ignored because no cases \n",k);
-       /* for (agedeb=fage; agedeb>=bage; agedeb--){ /\* If stepm=6 months *\/ */
+       continue;
-       for (agedeb=bage; agedeb<=fage; agedeb++){ /* If stepm=6 months and estepm=24 (2 years) */
+     }
-         /* nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); /\* Typically 20 years = 20*12/6=40 *\/ */
-         nhstepm=(int) rint((agedeb-ageminl)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */
+     /* for (agedeb=fage; agedeb>=bage; agedeb--){ /\* If stepm=6 months *\/ */
-         nhstepm = nhstepm/hstepm; /* Typically 40/4=10, because estepm=24 stepm=6 => hstepm=24/6=4 */
+     for (agedeb=bage; agedeb<=fage; agedeb++){ /* If stepm=6 months and estepm=24 (2 years) */
+       /* nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); /\* Typically 20 years = 20*12/6=40 *\/ */
-         /*        nhstepm=nhstepm*YEARM; aff par mois*/
+       nhstepm=(int) rint((agedeb-ageminl)*YEARM/stepm+0.1)-1; /* Typically 20 years = 20*12/6=40 or 55*12/24=27.5-1.1=>27 */
+       nhstepm = nhstepm/hstepm; /* Typically 40/4=10, because estepm=24 stepm=6 => hstepm=24/6=4 or 28*/
-         p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
-         /* oldm=oldms;savm=savms; */
+       /*          nhstepm=nhstepm*YEARM; aff par mois*/
-         /* hbxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);   */
-         hbxij(p3mat,nhstepm,agedeb,hstepm,p,prevacurrent,nlstate,stepm, k);
+       p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); /* We can't have it at an upper level because of nhstepm */
-         /* hbxij(p3mat,nhstepm,agedeb,hstepm,p,prevacurrent,nlstate,stepm,oldm,savm, dnewm, doldm, dsavm, k); */
+       /* and memory limitations if stepm is small */
-         fprintf(ficrespijb,"# Cov Agex agex-h hbijx with i,j=");
+       /* oldm=oldms;savm=savms; */
+       /* hbxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);   */
+       hbxij(p3mat,nhstepm,agedeb,hstepm,p,prevacurrent,nlstate,stepm, k, nres);/* Bug valgrind */
+       /* hbxij(p3mat,nhstepm,agedeb,hstepm,p,prevacurrent,nlstate,stepm,oldm,savm, dnewm, doldm, dsavm, k); */
+       fprintf(ficrespijb,"# Cov Agex agex-h hbijx with i,j=");
+       for(i=1; i<=nlstate;i++)
+         for(j=1; j<=nlstate+ndeath;j++)
+           fprintf(ficrespijb," %1d-%1d",i,j);
+       fprintf(ficrespijb,"\n");
+       for (h=0; h<=nhstepm; h++){
+         /*agedebphstep = agedeb + h*hstepm/YEARM*stepm;*/
+         fprintf(ficrespijb,"%d %3.f %3.f",k, agedeb, agedeb - h*hstepm/YEARM*stepm );
+         /* fprintf(ficrespijb,"%d %3.f %3.f",k, agedeb, agedeb + h*hstepm/YEARM*stepm ); */
          for(i=1; i<=nlstate;i++)
            for(j=1; j<=nlstate+ndeath;j++)
-             fprintf(ficrespijb," %1d-%1d",i,j);
+             fprintf(ficrespijb," %.5f", p3mat[i][j][h]);/* Bug valgrind */
-         fprintf(ficrespijb,"\n");
-         for (h=0; h<=nhstepm; h++){
-           /*agedebphstep = agedeb + h*hstepm/YEARM*stepm;*/
-           fprintf(ficrespijb,"%d %3.f %3.f",k, agedeb, agedeb - h*hstepm/YEARM*stepm );
-           /* fprintf(ficrespijb,"%d %3.f %3.f",k, agedeb, agedeb + h*hstepm/YEARM*stepm ); */
-           for(i=1; i<=nlstate;i++)
-             for(j=1; j<=nlstate+ndeath;j++)
-               fprintf(ficrespijb," %.5f", p3mat[i][j][h]);
-           fprintf(ficrespijb,"\n");
-         }
-         free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
          fprintf(ficrespijb,"\n");
-       } /* end age deb */
+       }
-     } /* end combination */
+       free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
+       fprintf(ficrespijb,"\n");
+     } /* end age deb */
+     /* } /\* end combination *\/ */
    } /* end nres */
    return 0;
   } /*  hBijx */
- Line 9789  int main(int argc, char *argv[])
+ Line 11915  int main(int argc, char *argv[])
    double ssval;
  #endif
    int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav);
-   int i,j, k, n=MAXN,iter=0,m,size=100, cptcod;
+   int i,j, k, iter=0,m,size=100, cptcod; /* Suppressing because nobs */
+   /* int i,j, k, n=MAXN,iter=0,m,size=100, cptcod; */
    int ncvyear=0; /* Number of years needed for the period prevalence to converge */
    int jj, ll, li, lj, lk;
    int numlinepar=0; /* Current linenumber of parameter file */
- Line 9799  int main(int argc, char *argv[])
+ Line 11926  int main(int argc, char *argv[])
    int vpopbased=0;
    int nres=0;
    int endishere=0;
+   int noffset=0;
+   int ncurrv=0; /* Temporary variable */
    char ca[32], cb[32];
    /*  FILE *fichtm; *//* Html File */
    /* FILE *ficgp;*/ /*Gnuplot File */
- Line 9813  int main(int argc, char *argv[])
+ Line 11942  int main(int argc, char *argv[])
    double dum=0.; /* Dummy variable */
    double ***p3mat;
    /* double ***mobaverage; */
+   double wald;
    char line[MAXLINE];
    char path[MAXLINE],pathc[MAXLINE],pathcd[MAXLINE],pathtot[MAXLINE];
    char  modeltemp[MAXLINE];
-   char resultline[MAXLINE];
+   char resultline[MAXLINE], resultlineori[MAXLINE];
    char pathr[MAXLINE], pathimach[MAXLINE];
    char *tok, *val; /* pathtot */
-   int firstobs=1, lastobs=10;
+   /* int firstobs=1, lastobs=10; /\* nobs = lastobs-firstobs declared globally ;*\/ */
    int c,  h , cpt, c2;
    int jl=0;
    int i1, j1, jk, stepsize=0;
- Line 9830  int main(int argc, char *argv[])
+ Line 11960  int main(int argc, char *argv[])
    int *tab;
    int mobilavproj=0 , prevfcast=0 ; /* moving average of prev, If prevfcast=1 prevalence projection */
-   int backcast=0;
+   /* double anprojd, mprojd, jprojd; /\* For eventual projections *\/ */
+   /* double anprojf, mprojf, jprojf; */
+   /* double jintmean,mintmean,aintmean;   */
+   int prvforecast = 0; /* Might be 1 (date of beginning of projection is a choice or 2 is the dateintmean */
+   int prvbackcast = 0; /* Might be 1 (date of beginning of projection is a choice or 2 is the dateintmean */
+   double yrfproj= 10.0; /* Number of years of forward projections */
+   double yrbproj= 10.0; /* Number of years of backward projections */
+   int prevbcast=0; /* defined as global for mlikeli and mle, replacing backcast */
    int mobilav=0,popforecast=0;
    int hstepm=0, nhstepm=0;
    int agemortsup;
- Line 9842  int main(int argc, char *argv[])
+ Line 11979  int main(int argc, char *argv[])
    double ftolpl=FTOL;
    double **prlim;
    double **bprlim;
-   double ***param; /* Matrix of parameters */
+   double ***param; /* Matrix of parameters, param[i][j][k] param=ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel)
+                     state of origin, state of destination including death, for each covariate: constante, age, and V1 V2 etc. */
    double ***paramstart; /* Matrix of starting parameter values */
    double  *p, *pstart; /* p=param[1][1] pstart is for starting values guessed by freqsummary */
    double **matcov; /* Matrix of covariance */
- Line 9851  int main(int argc, char *argv[])
+ Line 11989  int main(int argc, char *argv[])
    double *delti; /* Scale */
    double ***eij, ***vareij;
    double **varpl; /* Variances of prevalence limits by age */
    double *epj, vepp;
-   double dateprev1, dateprev2,jproj1=1,mproj1=1,anproj1=2000,jproj2=1,mproj2=1,anproj2=2000;
+   double dateprev1, dateprev2;
-   double jback1=1,mback1=1,anback1=2000,jback2=1,mback2=1,anback2=2000;
+   double jproj1=1,mproj1=1,anproj1=2000,jproj2=1,mproj2=1,anproj2=2000, dateproj1=0, dateproj2=0, dateprojd=0, dateprojf=0;
+   double jback1=1,mback1=1,anback1=2000,jback2=1,mback2=1,anback2=2000, dateback1=0, dateback2=0, datebackd=0, datebackf=0;
    double **ximort;
    char *alph[]={"a","a","b","c","d","e"}, str[4]="1234";
- Line 9932  int main(int argc, char *argv[])
+ Line 12073  int main(int argc, char *argv[])
        if(pathr[0] == '\0') break; /* Dirty */
      }
    }
+   else if (argc<=2){
+     strcpy(pathtot,argv[1]);
+   }
    else{
      strcpy(pathtot,argv[1]);
+     strcpy(z,argv[2]);
+     printf("\nargv[2]=%s z=%c\n",argv[2],z[0]);
    }
    /*if(getcwd(pathcd, MAXLINE)!= NULL)printf ("Error pathcd\n");*/
    /*cygwin_split_path(pathtot,path,optionfile);
- Line 10011  int main(int argc, char *argv[])
+ Line 12157  int main(int argc, char *argv[])
      exit(70);
    }
    strcpy(filereso,"o");
    strcat(filereso,fileresu);
    if((ficparo=fopen(filereso,"w"))==NULL) { /* opened on subdirectory */
- Line 10021  int main(int argc, char *argv[])
+ Line 12165  int main(int argc, char *argv[])
      fflush(ficlog);
      goto end;
    }
+       /*-------- Rewriting parameter file ----------*/
+   strcpy(rfileres,"r");    /* "Rparameterfile */
+   strcat(rfileres,optionfilefiname);    /* Parameter file first name */
+   strcat(rfileres,".");    /* */
+   strcat(rfileres,optionfilext);    /* Other files have txt extension */
+   if((ficres =fopen(rfileres,"w"))==NULL) {
+     printf("Problem writing new parameter file: %s\n", rfileres);goto end;
+     fprintf(ficlog,"Problem writing new parameter file: %s\n", rfileres);goto end;
+     fflush(ficlog);
+     goto end;
+   }
+   fprintf(ficres,"#IMaCh %s\n",version);
    /* Reads comments: lines beginning with '#' */
    numlinepar=0;
+   /* Is it a BOM UTF-8 Windows file? */
-     /* First parameter line */
+   /* First parameter line */
    while(fgets(line, MAXLINE, ficpar)) {
+     noffset=0;
+     if( line[0] == (char)0xEF && line[1] == (char)0xBB) /* EF BB BF */
+     {
+       noffset=noffset+3;
+       printf("# File is an UTF8 Bom.\n"); // 0xBF
+     }
+ /*    else if( line[0] == (char)0xFE && line[1] == (char)0xFF)*/
+     else if( line[0] == (char)0xFF && line[1] == (char)0xFE)
+     {
+       noffset=noffset+2;
+       printf("# File is an UTF16BE BOM file\n");
+     }
+     else if( line[0] == 0 && line[1] == 0)
+     {
+       if( line[2] == (char)0xFE && line[3] == (char)0xFF){
+         noffset=noffset+4;
+         printf("# File is an UTF16BE BOM file\n");
+       }
+     } else{
+       ;/*printf(" Not a BOM file\n");*/
+     }
      /* If line starts with a # it is a comment */
-     if (line[0] == '#') {
+     if (line[noffset] == '#') {
        numlinepar++;
        fputs(line,stdout);
        fputs(line,ficparo);
+       fputs(line,ficres);
        fputs(line,ficlog);
        continue;
      }else
- Line 10041  int main(int argc, char *argv[])
+ Line 12221  int main(int argc, char *argv[])
                          title, datafile, &lastobs, &firstpass,&lastpass)) !=EOF){
      if (num_filled != 5) {
        printf("Should be 5 parameters\n");
+       fprintf(ficlog,"Should be 5 parameters\n");
      }
      numlinepar++;
      printf("title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", title, datafile, lastobs, firstpass,lastpass);
+     fprintf(ficparo,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", title, datafile, lastobs, firstpass,lastpass);
+     fprintf(ficres,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", title, datafile, lastobs, firstpass,lastpass);
+     fprintf(ficlog,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", title, datafile, lastobs, firstpass,lastpass);
    }
    /* Second parameter line */
    while(fgets(line, MAXLINE, ficpar)) {
-     /* If line starts with a # it is a comment */
+     /* while(fscanf(ficpar,"%[^\n]", line)) { */
+     /* If line starts with a # it is a comment. Strangely fgets reads the EOL and fputs doesn't */
      if (line[0] == '#') {
        numlinepar++;
-       fputs(line,stdout);
+       printf("%s",line);
-       fputs(line,ficparo);
+       fprintf(ficres,"%s",line);
-       fputs(line,ficlog);
+       fprintf(ficparo,"%s",line);
+       fprintf(ficlog,"%s",line);
        continue;
      }else
        break;
- Line 10062  int main(int argc, char *argv[])
+ Line 12248  int main(int argc, char *argv[])
      if (num_filled != 11) {
        printf("Not 11 parameters, for example:ftol=1.e-8 stepm=12 ncovcol=2 nqv=1 ntv=2 nqtv=1  nlstate=2 ndeath=1 maxwav=3 mle=1 weight=1\n");
        printf("but line=%s\n",line);
+       fprintf(ficlog,"Not 11 parameters, for example:ftol=1.e-8 stepm=12 ncovcol=2 nqv=1 ntv=2 nqtv=1  nlstate=2 ndeath=1 maxwav=3 mle=1 weight=1\n");
+       fprintf(ficlog,"but line=%s\n",line);
+     }
+     if( lastpass > maxwav){
+       printf("Error (lastpass = %d) > (maxwav = %d)\n",lastpass, maxwav);
+       fprintf(ficlog,"Error (lastpass = %d) > (maxwav = %d)\n",lastpass, maxwav);
+       fflush(ficlog);
+       goto end;
      }
-     printf("ftol=%e stepm=%d ncovcol=%d nqv=%d ntv=%d nqtv=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\n",ftol, stepm, ncovcol, nqv, ntv, nqtv, nlstate, ndeath, maxwav, mle, weightopt);
+       printf("ftol=%e stepm=%d ncovcol=%d nqv=%d ntv=%d nqtv=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\n",ftol, stepm, ncovcol, nqv, ntv, nqtv, nlstate, ndeath, maxwav, mle, weightopt);
+     fprintf(ficparo,"ftol=%e stepm=%d ncovcol=%d nqv=%d ntv=%d nqtv=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\n",ftol, stepm, ncovcol, nqv, ntv, nqtv, nlstate, ndeath, maxwav, mle, weightopt);
+     fprintf(ficres,"ftol=%e stepm=%d ncovcol=%d nqv=%d ntv=%d nqtv=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\n",ftol, stepm, ncovcol, nqv, ntv, nqtv, nlstate, ndeath, maxwav, 0, weightopt);
+     fprintf(ficlog,"ftol=%e stepm=%d ncovcol=%d nqv=%d ntv=%d nqtv=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\n",ftol, stepm, ncovcol, nqv, ntv, nqtv, nlstate, ndeath, maxwav, mle, weightopt);
    }
    /* ftolpl=6*ftol*1.e5; /\* 6.e-3 make convergences in less than 80 loops for the prevalence limit *\/ */
    /*ftolpl=6.e-4; *//* 6.e-3 make convergences in less than 80 loops for the prevalence limit */
- Line 10072  int main(int argc, char *argv[])
+ Line 12269  int main(int argc, char *argv[])
      /* If line starts with a # it is a comment */
      if (line[0] == '#') {
        numlinepar++;
-       fputs(line,stdout);
+       printf("%s",line);
-       fputs(line,ficparo);
+       fprintf(ficres,"%s",line);
-       fputs(line,ficlog);
+       fprintf(ficparo,"%s",line);
+       fprintf(ficlog,"%s",line);
        continue;
      }else
        break;
    }
    if((num_filled=sscanf(line,"model=1+age%[^.\n]", model)) !=EOF){
-     if (num_filled == 0)
+     if (num_filled != 1){
-             model[0]='\0';
+       printf("ERROR %d: Model should be at minimum 'model=1+age+' instead of '%s'\n",num_filled, line);
-     else if (num_filled != 1){
+       fprintf(ficlog,"ERROR %d: Model should be at minimum 'model=1+age+' instead of '%s'\n",num_filled, line);
-       printf("ERROR %d: Model should be at minimum 'model=1+age.' %s\n",num_filled, line);
-       fprintf(ficlog,"ERROR %d: Model should be at minimum 'model=1+age.' %s\n",num_filled, line);
        model[0]='\0';
        goto end;
      }
- Line 10097  int main(int argc, char *argv[])
+ Line 12293  int main(int argc, char *argv[])
      }
      /* printf(" model=1+age%s modeltemp= %s, model=%s\n",model, modeltemp, model);fflush(stdout); */
      printf("model=1+age+%s\n",model);fflush(stdout);
+     fprintf(ficparo,"model=1+age+%s\n",model);fflush(stdout);
+     fprintf(ficres,"model=1+age+%s\n",model);fflush(stdout);
+     fprintf(ficlog,"model=1+age+%s\n",model);fflush(stdout);
    }
    /* fscanf(ficpar,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%lf stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d model=1+age+%s\n",title, datafile, &lastobs, &firstpass,&lastpass,&ftol, &stepm, &ncovcol, &nlstate,&ndeath, &maxwav, &mle, &weightopt,model); */
    /* numlinepar=numlinepar+3; /\* In general *\/ */
    /* printf("title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\nmodel=1+age+%s\n", title, datafile, lastobs, firstpass,lastpass,ftol, stepm, ncovcol, nlstate,ndeath, maxwav, mle, weightopt,model); */
-   fprintf(ficparo,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncovcol=%d nqv=%d ntv=%d nqtv=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\nmodel=1+age+%s.\n", title, datafile, lastobs, firstpass,lastpass,ftol,stepm,ncovcol, nqv, ntv, nqtv, nlstate,ndeath,maxwav, mle, weightopt,model);
+   /* fprintf(ficparo,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncovcol=%d nqv=%d ntv=%d nqtv=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\nmodel=1+age+%s.\n", title, datafile, lastobs, firstpass,lastpass,ftol,stepm,ncovcol, nqv, ntv, nqtv, nlstate,ndeath,maxwav, mle, weightopt,model); */
-   fprintf(ficlog,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncovcol=%d nqv=%d ntv=%d nqtv=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\nmodel=1+age+%s.\n", title, datafile, lastobs, firstpass,lastpass,ftol,stepm,ncovcol, nqv, ntv, nqtv, nlstate,ndeath,maxwav, mle, weightopt,model);
+   /* fprintf(ficlog,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncovcol=%d nqv=%d ntv=%d nqtv=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\nmodel=1+age+%s.\n", title, datafile, lastobs, firstpass,lastpass,ftol,stepm,ncovcol, nqv, ntv, nqtv, nlstate,ndeath,maxwav, mle, weightopt,model); */
    fflush(ficlog);
    /* if(model[0]=='#'|| model[0]== '\0'){ */
    if(model[0]=='#'){
-     printf("Error in 'model' line: model should start with 'model=1+age+' and end with '.' \n \
+     printf("Error in 'model' line: model should start with 'model=1+age+' and end without space \n \
-  'model=1+age+.' or 'model=1+age+V1.' or 'model=1+age+age*age+V1+V1*age.' or \n \
+  'model=1+age+' or 'model=1+age+V1.' or 'model=1+age+age*age+V1+V1*age' or \n \
-  'model=1+age+V1+V2.' or 'model=1+age+V1+V2+V1*V2.' etc. \n");          \
+  'model=1+age+V1+V2' or 'model=1+age+V1+V2+V1*V2' etc. \n");            \
      if(mle != -1){
-       printf("Fix the model line and run imach with mle=-1 to get a correct template of the parameter file.\n");
+       printf("Fix the model line and run imach with mle=-1 to get a correct template of the parameter vectors and subdiagonal covariance matrix.\n");
        exit(1);
      }
    }
- Line 10130  int main(int argc, char *argv[])
+ Line 12329  int main(int argc, char *argv[])
    ungetc(c,ficpar);
-   covar=matrix(0,NCOVMAX,1,n);  /**< used in readdata */
+   covar=matrix(0,NCOVMAX,firstobs,lastobs);  /**< used in readdata */
-   coqvar=matrix(1,nqv,1,n);  /**< Fixed quantitative covariate */
+   if(nqv>=1)coqvar=matrix(1,nqv,firstobs,lastobs);  /**< Fixed quantitative covariate */
-   cotvar=ma3x(1,maxwav,1,ntv+nqtv,1,n);  /**< Time varying covariate (dummy and quantitative)*/
+   if(nqtv>=1)cotqvar=ma3x(1,maxwav,1,nqtv,firstobs,lastobs);  /**< Time varying quantitative covariate */
-   cotqvar=ma3x(1,maxwav,1,nqtv,1,n);  /**< Time varying quantitative covariate */
+   if(ntv+nqtv>=1)cotvar=ma3x(1,maxwav,1,ntv+nqtv,firstobs,lastobs);  /**< Time varying covariate (dummy and quantitative)*/
    cptcovn=0; /*Number of covariates, i.e. number of '+' in model statement plus one, indepently of n in Vn*/
    /* v1+v2+v3+v2*v4+v5*age makes cptcovn = 5
       v1+v2*age+v2*v3 makes cptcovn = 3
- Line 10196  int main(int argc, char *argv[])
+ Line 12395  int main(int argc, char *argv[])
        for(jj=1; jj <=nlstate+ndeath; jj++){
          if(jj==i) continue;
          j++;
+         while((c=getc(ficpar))=='#' && c!= EOF){
+           ungetc(c,ficpar);
+           fgets(line, MAXLINE, ficpar);
+           numlinepar++;
+           fputs(line,stdout);
+           fputs(line,ficparo);
+           fputs(line,ficlog);
+         }
+         ungetc(c,ficpar);
          fscanf(ficpar,"%1d%1d",&i1,&j1);
          if ((i1 != i) || (j1 != jj)){
            printf("Error in line parameters number %d, %1d%1d instead of %1d%1d \n \
- Line 10332  Please run with mle=-1 to get a correct
+ Line 12540  Please run with mle=-1 to get a correct
      fflush(ficlog);
-     /*-------- Rewriting parameter file ----------*/
-     strcpy(rfileres,"r");    /* "Rparameterfile */
-     strcat(rfileres,optionfilefiname);    /* Parameter file first name*/
-     strcat(rfileres,".");    /* */
-     strcat(rfileres,optionfilext);    /* Other files have txt extension */
-     if((ficres =fopen(rfileres,"w"))==NULL) {
-       printf("Problem writing new parameter file: %s\n", rfileres);goto end;
-       fprintf(ficlog,"Problem writing new parameter file: %s\n", rfileres);goto end;
-     }
-     fprintf(ficres,"#%s\n",version);
    }    /* End of mle != -3 */
    /*  Main data
     */
-   n= lastobs;
+   nobs=lastobs-firstobs+1; /* was = lastobs;*/
-   num=lvector(1,n);
+   /* num=lvector(1,n); */
-   moisnais=vector(1,n);
+   /* moisnais=vector(1,n); */
-   annais=vector(1,n);
+   /* annais=vector(1,n); */
-   moisdc=vector(1,n);
+   /* moisdc=vector(1,n); */
-   andc=vector(1,n);
+   /* andc=vector(1,n); */
-   weight=vector(1,n);
+   /* weight=vector(1,n); */
-   agedc=vector(1,n);
+   /* agedc=vector(1,n); */
-   cod=ivector(1,n);
+   /* cod=ivector(1,n); */
-   for(i=1;i<=n;i++){
+   /* for(i=1;i<=n;i++){ */
+   num=lvector(firstobs,lastobs);
+   moisnais=vector(firstobs,lastobs);
+   annais=vector(firstobs,lastobs);
+   moisdc=vector(firstobs,lastobs);
+   andc=vector(firstobs,lastobs);
+   weight=vector(firstobs,lastobs);
+   agedc=vector(firstobs,lastobs);
+   cod=ivector(firstobs,lastobs);
+   for(i=firstobs;i<=lastobs;i++){
      num[i]=0;
      moisnais[i]=0;
      annais[i]=0;
- Line 10365  Please run with mle=-1 to get a correct
+ Line 12572  Please run with mle=-1 to get a correct
      cod[i]=0;
      weight[i]=1.0; /* Equal weights, 1 by default */
    }
-   mint=matrix(1,maxwav,1,n);
+   mint=matrix(1,maxwav,firstobs,lastobs);
-   anint=matrix(1,maxwav,1,n);
+   anint=matrix(1,maxwav,firstobs,lastobs);
-   s=imatrix(1,maxwav+1,1,n); /* s[i][j] health state for wave i and individual j */
+   s=imatrix(1,maxwav+1,firstobs,lastobs); /* s[i][j] health state for wave i and individual j */
+   /* printf("BUG ncovmodel=%d NCOVMAX=%d 2**ncovmodel=%f BUG\n",ncovmodel,NCOVMAX,pow(2,ncovmodel)); */
    tab=ivector(1,NCOVMAX);
    ncodemax=ivector(1,NCOVMAX); /* Number of code per covariate; if O and 1 only, 2**ncov; V1+V2+V3+V4=>16 */
    ncodemaxwundef=ivector(1,NCOVMAX); /* Number of code per covariate; if - 1 O and 1 only, 2**ncov; V1+V2+V3+V4=>16 */
- Line 10386  Please run with mle=-1 to get a correct
+ Line 12594  Please run with mle=-1 to get a correct
    Tvar=ivector(1,NCOVMAX); /* Was 15 changed to NCOVMAX. */
    TvarsDind=ivector(1,NCOVMAX); /*  */
+   TnsdVar=ivector(1,NCOVMAX); /*  */
+     /* for(i=1; i<=NCOVMAX;i++) TnsdVar[i]=3; */
    TvarsD=ivector(1,NCOVMAX); /*  */
    TvarsQind=ivector(1,NCOVMAX); /*  */
    TvarsQ=ivector(1,NCOVMAX); /*  */
- Line 10428  Please run with mle=-1 to get a correct
+ Line 12638  Please run with mle=-1 to get a correct
    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) */
+   Tvardk=imatrix(1,NCOVMAX,1,2);
    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
-                       */
+                            */
+   for(i=1;i<NCOVMAX;i++)
+     Tage[i]=0;
    Tmodelind=ivector(1,NCOVMAX);/** gives the k model position of an
                                  * individual dummy, fixed or varying:
                                  * Tmodelind[Tvaraff[3]]=9,Tvaraff[1]@9={4,
- Line 10469  Please run with mle=-1 to get a correct
+ Line 12682  Please run with mle=-1 to get a correct
    agegomp=(int)agemin;
-   free_vector(moisnais,1,n);
+   free_vector(moisnais,firstobs,lastobs);
-   free_vector(annais,1,n);
+   free_vector(annais,firstobs,lastobs);
    /* free_matrix(mint,1,maxwav,1,n);
       free_matrix(anint,1,maxwav,1,n);*/
    /* free_vector(moisdc,1,n); */
- Line 10496  Please run with mle=-1 to get a correct
+ Line 12709  Please run with mle=-1 to get a correct
    concatwav(wav, dh, bh, mw, s, agedc, agev,  firstpass, lastpass, imx, nlstate, stepm);
    /* Concatenates waves */
-   free_vector(moisdc,1,n);
+   free_vector(moisdc,firstobs,lastobs);
-   free_vector(andc,1,n);
+   free_vector(andc,firstobs,lastobs);
    /* Routine tricode is to calculate cptcoveff (real number of unique covariates) and to associate covariable number and modality */
    nbcode=imatrix(0,NCOVMAX,0,NCOVMAX);
- Line 10505  Please run with mle=-1 to get a correct
+ Line 12718  Please run with mle=-1 to get a correct
    Ndum =ivector(-1,NCOVMAX);
    cptcoveff=0;
    if (ncovmodel-nagesqr > 2 ){ /* That is if covariate other than cst, age and age*age */
-     tricode(&cptcoveff,Tvar,nbcode,imx, Ndum); /**< Fills nbcode[Tvar[j]][l]; */
+     tricode(&cptcoveff,Tvar,nbcode,imx, Ndum); /**< Fills nbcode[Tvar[j]][l]; as well as calculate cptcoveff or number of total effective dummy covariates*/
    }
    ncovcombmax=pow(2,cptcoveff);
- Line 10535  Please run with mle=-1 to get a correct
+ Line 12748  Please run with mle=-1 to get a correct
             * For k=4 covariates, h goes from 1 to m=2**k
             * codtabm(h,k)=  (1 & (h-1) >> (k-1)) + 1;
             * #define codtabm(h,k)  (1 & (h-1) >> (k-1))+1
-            *     h\k   1     2     3     4
+            *     h\k   1     2     3     4   *  h-1\k-1  4  3  2  1
-            *______________________________
+            *______________________________   *______________________
-            *     1 i=1 1 i=1 1 i=1 1 i=1 1
+            *     1 i=1 1 i=1 1 i=1 1 i=1 1   *     0     0  0  0  0
-            *     2     2     1     1     1
+            *     2     2     1     1     1   *     1     0  0  0  1
-            *     3 i=2 1     2     1     1
+            *     3 i=2 1     2     1     1   *     2     0  0  1  0
-            *     4     2     2     1     1
+            *     4     2     2     1     1   *     3     0  0  1  1
-            *     5 i=3 1 i=2 1     2     1
+            *     5 i=3 1 i=2 1     2     1   *     4     0  1  0  0
-            *     6     2     1     2     1
+            *     6     2     1     2     1   *     5     0  1  0  1
-            *     7 i=4 1     2     2     1
+            *     7 i=4 1     2     2     1   *     6     0  1  1  0
-            *     8     2     2     2     1
+            *     8     2     2     2     1   *     7     0  1  1  1
-            *     9 i=5 1 i=3 1 i=2 1     2
+            *     9 i=5 1 i=3 1 i=2 1     2   *     8     1  0  0  0
-            *    10     2     1     1     2
+            *    10     2     1     1     2   *     9     1  0  0  1
-            *    11 i=6 1     2     1     2
+            *    11 i=6 1     2     1     2   *    10     1  0  1  0
-            *    12     2     2     1     2
+            *    12     2     2     1     2   *    11     1  0  1  1
-            *    13 i=7 1 i=4 1     2     2
+            *    13 i=7 1 i=4 1     2     2   *    12     1  1  0  0
-            *    14     2     1     2     2
+            *    14     2     1     2     2   *    13     1  1  0  1
-            *    15 i=8 1     2     2     2
+            *    15 i=8 1     2     2     2   *    14     1  1  1  0
-            *    16     2     2     2     2
+            *    16     2     2     2     2   *    15     1  1  1  1
             */
    /* How to do the opposite? From combination h (=1 to 2**k) how to get the value on the covariates? */
       /* from h=5 and m, we get then number of covariates k=log(m)/log(2)=4
       * and the value of each covariate?
- Line 10644  Title=%s <br>Datafile=%s Firstpass=%d La
+ Line 12857  Title=%s <br>Datafile=%s Firstpass=%d La
            optionfilehtmcov,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);
    }
-   fprintf(fichtm,"<html><head>\n<head>\n<meta charset=\"utf-8\"/><meta http-equiv=\"Content-Type\" content=\"text/html; charset=utf-8\" />\n<title>IMaCh %s</title></head>\n <body><font size=\"7\"><a href=http:/euroreves.ined.fr/imach>IMaCh for Interpolated Markov Chain</a> </font><br>\n<font size=\"3\">Sponsored by Copyright (C)  2002-2015 <a href=http://www.ined.fr>INED</a>-EUROREVES-Institut de longévité-2013-2016-Japan Society for the Promotion of Sciences 日本学術振興会 (<a href=https://www.jsps.go.jp/english/e-grants/>Grant-in-Aid for Scientific Research 25293121</a>) - <a href=https://software.intel.com/en-us>Intel Software 2015-2018</a></font><br>  \
+   fprintf(fichtm,"<html><head>\n<meta charset=\"utf-8\"/><meta http-equiv=\"Content-Type\" content=\"text/html; charset=utf-8\" />\n\
- <hr size=\"2\" color=\"#EC5E5E\"> \n\
+ <title>IMaCh %s</title></head>\n\
+  <body><font size=\"7\"><a href=http:/euroreves.ined.fr/imach>IMaCh for Interpolated Markov Chain</a> </font><br>\n\
+ <font size=\"3\">Sponsored by Copyright (C)  2002-2015 <a href=http://www.ined.fr>INED</a>\
+ -EUROREVES-Institut de longévité-2013-2022-Japan Society for the Promotion of Sciences 日本学術振興会 \
+ (<a href=https://www.jsps.go.jp/english/e-grants/>Grant-in-Aid for Scientific Research 25293121</a>) - \
+ <a href=https://software.intel.com/en-us>Intel Software 2015-2018</a></font><br> \n", optionfilehtm);
+   fprintf(fichtm,"<hr size=\"2\" color=\"#EC5E5E\"> \n\
  <font size=\"2\">IMaCh-%s <br> %s</font> \
  <hr size=\"2\" color=\"#EC5E5E\"> \n\
- Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s<br>\n\
+ This file: <a href=\"%s\">%s</a></br>Title=%s <br>Datafile=<a href=\"%s\">%s</a> Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s<br>\n\
  \n\
  <hr  size=\"2\" color=\"#EC5E5E\">\
   <ul><li><h4>Parameter files</h4>\n\
- Line 10657  Title=%s <br>Datafile=%s Firstpass=%d La
+ Line 12877  Title=%s <br>Datafile=%s Firstpass=%d La
   - Log file of the run: <a href=\"%s\">%s</a><br>\n\
   - Gnuplot file name: <a href=\"%s\">%s</a><br>\n\
   - Date and time at start: %s</ul>\n",\
-           optionfilehtm,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model,\
+           version,fullversion,optionfilehtm,optionfilehtm,title,datafile,datafile,firstpass,lastpass,stepm, weightopt, model, \
            optionfilefiname,optionfilext,optionfilefiname,optionfilext,\
            fileres,fileres,\
            filelog,filelog,optionfilegnuplot,optionfilegnuplot,strstart);
- Line 10679  Title=%s <br>Datafile=%s Firstpass=%d La
+ Line 12899  Title=%s <br>Datafile=%s Firstpass=%d La
                firstpass, lastpass,  stepm,  weightopt, model);
    fprintf(fichtm,"\n");
-   fprintf(fichtm,"<br>Total number of observations=%d <br>\n\
+   fprintf(fichtm,"<h4>Parameter line 2</h4><ul><li>Tolerance for the convergence of the likelihood: ftol=%g \n<li>Interval for the elementary matrix (in month): stepm=%d",\
+           ftol, stepm);
+   fprintf(fichtm,"\n<li>Number of fixed dummy covariates: ncovcol=%d ", ncovcol);
+   ncurrv=1;
+   for(i=ncurrv; i <=ncovcol; i++) fprintf(fichtm,"V%d ", i);
+   fprintf(fichtm,"\n<li> Number of fixed quantitative variables: nqv=%d ", nqv);
+   ncurrv=i;
+   for(i=ncurrv; i <=ncurrv-1+nqv; i++) fprintf(fichtm,"V%d ", i);
+   fprintf(fichtm,"\n<li> Number of time varying (wave varying) dummy covariates: ntv=%d ", ntv);
+   ncurrv=i;
+   for(i=ncurrv; i <=ncurrv-1+ntv; i++) fprintf(fichtm,"V%d ", i);
+   fprintf(fichtm,"\n<li>Number of time varying  quantitative covariates: nqtv=%d ", nqtv);
+   ncurrv=i;
+   for(i=ncurrv; i <=ncurrv-1+nqtv; i++) fprintf(fichtm,"V%d ", i);
+   fprintf(fichtm,"\n<li>Weights column \n<br>Number of alive states: nlstate=%d <br>Number of death states (not really implemented): ndeath=%d \n<li>Number of waves: maxwav=%d \n<li>Parameter for maximization (1), using parameter values (0), for design of parameters and variance-covariance matrix: mle=%d \n<li>Does the weight column be taken into account (1), or not (0): weight=%d</ul>\n", \
+            nlstate, ndeath, maxwav, mle, weightopt);
+   fprintf(fichtm,"<h4> Diagram of states <a href=\"%s_.svg\">%s_.svg</a></h4> \n\
+ <img src=\"%s_.svg\">", subdirf2(optionfilefiname,"D_"),subdirf2(optionfilefiname,"D_"),subdirf2(optionfilefiname,"D_"));
+   fprintf(fichtm,"\n<h4>Some descriptive statistics </h4>\n<br>Number of (used) observations=%d <br>\n\
  Youngest age at first (selected) pass %.2f, oldest age %.2f<br>\n\
  Interval (in months) between two waves: Min=%d Max=%d Mean=%.2lf<br>\n",\
-           imx,agemin,agemax,jmin,jmax,jmean);
+   imx,agemin,agemax,jmin,jmax,jmean);
    pmmij= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
-         oldms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
+   oldms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
-         newms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
+   newms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
-         savms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
+   savms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
-         oldm=oldms; newm=newms; savm=savms; /* Keeps fixed addresses to free */
+   oldm=oldms; newm=newms; savm=savms; /* Keeps fixed addresses to free */
    /* For Powell, parameters are in a vector p[] starting at p[1]
       so we point p on param[1][1] so that p[1] maps on param[1][1][1] */
- Line 10701  Interval (in months) between two waves:
+ Line 12942  Interval (in months) between two waves:
        for(j=1;j<=NDIM;j++)
          ximort[i][j]=0.;
      /*     ximort=gsl_matrix_alloc(1,NDIM,1,NDIM); */
-     cens=ivector(1,n);
+     cens=ivector(firstobs,lastobs);
-     ageexmed=vector(1,n);
+     ageexmed=vector(firstobs,lastobs);
-     agecens=vector(1,n);
+     agecens=vector(firstobs,lastobs);
-     dcwave=ivector(1,n);
+     dcwave=ivector(firstobs,lastobs);
      for (i=1; i<=imx; i++){
        dcwave[i]=-1;
- Line 10738  Interval (in months) between two waves:
+ Line 12979  Interval (in months) between two waves:
          ximort[i][j]=(i == j ? 1.0 : 0.0);
      }
-     /*p[1]=0.0268; p[NDIM]=0.083;*/
+     p[1]=0.0268; p[NDIM]=0.083;
-     /*printf("%lf %lf", p[1], p[2]);*/
+     /* printf("%lf %lf", p[1], p[2]); */
  #ifdef GSL
- Line 10865  Interval (in months) between two waves:
+ Line 13106  Interval (in months) between two waves:
        printf("%f [%f ; %f]\n",p[i],p[i]-2*sqrt(matcov[i][i]),p[i]+2*sqrt(matcov[i][i]));
        fprintf(ficlog,"%f [%f ; %f]\n",p[i],p[i]-2*sqrt(matcov[i][i]),p[i]+2*sqrt(matcov[i][i]));
      }
-     lsurv=vector(1,AGESUP);
+     lsurv=vector(agegomp,AGESUP);
-     lpop=vector(1,AGESUP);
+     lpop=vector(agegomp,AGESUP);
-     tpop=vector(1,AGESUP);
+     tpop=vector(agegomp,AGESUP);
      lsurv[agegomp]=100000;
      for (k=agegomp;k<=AGESUP;k++) {
- Line 10914  Please run with mle=-1 to get a correct
+ Line 13155  Please run with mle=-1 to get a correct
                       stepm, weightopt,\
                       model,imx,p,matcov,agemortsup);
-     free_vector(lsurv,1,AGESUP);
+     free_vector(lsurv,agegomp,AGESUP);
-     free_vector(lpop,1,AGESUP);
+     free_vector(lpop,agegomp,AGESUP);
-     free_vector(tpop,1,AGESUP);
+     free_vector(tpop,agegomp,AGESUP);
      free_matrix(ximort,1,NDIM,1,NDIM);
-     free_ivector(cens,1,n);
+     free_ivector(dcwave,firstobs,lastobs);
-     free_vector(agecens,1,n);
+     free_vector(agecens,firstobs,lastobs);
-     free_ivector(dcwave,1,n);
+     free_vector(ageexmed,firstobs,lastobs);
+     free_ivector(cens,firstobs,lastobs);
  #ifdef GSL
  #endif
    } /* Endof if mle==-3 mortality only */
- Line 10949  Please run with mle=-1 to get a correct
+ Line 13191  Please run with mle=-1 to get a correct
      globpr=1; /* again, to print the individual contributions using computed gpimx and gsw */
      likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
      printf("Second Likeli=%12.6f ipmx=%ld sw=%12.6f",fretone,ipmx,sw);
+           /* exit(0); */
      for (k=1; k<=npar;k++)
        printf(" %d %8.5f",k,p[k]);
      printf("\n");
      /*--------- results files --------------*/
-     fprintf(ficres,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncovcol=%d nqv=%d ntv=%d nqtv=%d nlstate=%d ndeath=%d maxwav=%d mle= 0 weight=%d\nmodel=1+age+%s.\n", title, datafile, lastobs, firstpass,lastpass,ftol, stepm, ncovcol, nqv, ntv, nqtv, nlstate, ndeath, maxwav, weightopt,model);
+     /* fprintf(ficres,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncovcol=%d nqv=%d ntv=%d nqtv=%d nlstate=%d ndeath=%d maxwav=%d mle= 0 weight=%d\nmodel=1+age+%s.\n", title, datafile, lastobs, firstpass,lastpass,ftol, stepm, ncovcol, nqv, ntv, nqtv, nlstate, ndeath, maxwav, weightopt,model); */
      fprintf(ficres,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
-     printf("# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
+     printf("# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n"); /* Printing model equation */
      fprintf(ficlog,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
+     printf("#model=  1      +     age ");
+     fprintf(ficres,"#model=  1      +     age ");
+     fprintf(ficlog,"#model=  1      +     age ");
+     fprintf(fichtm,"\n<ul><li> model=1+age+%s\n \
+ </ul>", model);
+     fprintf(fichtm,"\n<table style=\"text-align:center; border: 1px solid\">\n");
+     fprintf(fichtm, "<tr><th>Model=</th><th>1</th><th>+ age</th>");
+     if(nagesqr==1){
+       printf("  + age*age  ");
+       fprintf(ficres,"  + age*age  ");
+       fprintf(ficlog,"  + age*age  ");
+       fprintf(fichtm, "<th>+ age*age</th>");
+     }
+     for(j=1;j <=ncovmodel-2;j++){
+       if(Typevar[j]==0) {
+         printf("  +      V%d  ",Tvar[j]);
+         fprintf(ficres,"  +      V%d  ",Tvar[j]);
+         fprintf(ficlog,"  +      V%d  ",Tvar[j]);
+         fprintf(fichtm, "<th>+ V%d</th>",Tvar[j]);
+       }else if(Typevar[j]==1) {
+         printf("  +    V%d*age ",Tvar[j]);
+         fprintf(ficres,"  +    V%d*age ",Tvar[j]);
+         fprintf(ficlog,"  +    V%d*age ",Tvar[j]);
+         fprintf(fichtm, "<th>+  V%d*age</th>",Tvar[j]);
+       }else if(Typevar[j]==2) {
+         printf("  +    V%d*V%d ",Tvard[Tposprod[j]][1],Tvard[Tposprod[j]][2]);
+         fprintf(ficres,"  +    V%d*V%d ",Tvard[Tposprod[j]][1],Tvard[Tposprod[j]][2]);
+         fprintf(ficlog,"  +    V%d*V%d ",Tvard[Tposprod[j]][1],Tvard[Tposprod[j]][2]);
+         fprintf(fichtm, "<th>+  V%d*V%d</th>",Tvard[Tposprod[j]][1],Tvard[Tposprod[j]][2]);
+       }
+     }
+     printf("\n");
+     fprintf(ficres,"\n");
+     fprintf(ficlog,"\n");
+     fprintf(fichtm, "</tr>");
+     fprintf(fichtm, "\n");
      for(i=1,jk=1; i <=nlstate; i++){
        for(k=1; k <=(nlstate+ndeath); k++){
          if (k != i) {
+           fprintf(fichtm, "<tr>");
            printf("%d%d ",i,k);
            fprintf(ficlog,"%d%d ",i,k);
            fprintf(ficres,"%1d%1d ",i,k);
+           fprintf(fichtm, "<td>%1d%1d</td>",i,k);
            for(j=1; j <=ncovmodel; j++){
              printf("%12.7f ",p[jk]);
              fprintf(ficlog,"%12.7f ",p[jk]);
              fprintf(ficres,"%12.7f ",p[jk]);
+             fprintf(fichtm, "<td>%12.7f</td>",p[jk]);
              jk++;
            }
            printf("\n");
            fprintf(ficlog,"\n");
            fprintf(ficres,"\n");
+           fprintf(fichtm, "</tr>\n");
          }
        }
      }
+     /* fprintf(fichtm,"</tr>\n"); */
+     fprintf(fichtm,"</table>\n");
+     fprintf(fichtm, "\n");
      if(mle != 0){
        /* Computing hessian and covariance matrix only at a peak of the Likelihood, that is after optimization */
        ftolhess=ftol; /* Usually correct */
        hesscov(matcov, hess, p, npar, delti, ftolhess, func);
        printf("Parameters and 95%% confidence intervals\n W is simply the result of the division of the parameter by the square root of covariance of the parameter.\n And Wald-based confidence intervals plus and minus 1.96 * W .\n But be careful that parameters are highly correlated because incidence of disability is highly correlated to incidence of recovery.\n It might be better to visualize the covariance matrix. See the page 'Matrix of variance-covariance of one-step probabilities' and its graphs.\n");
        fprintf(ficlog, "Parameters, Wald tests and Wald-based confidence intervals\n W is simply the result of the division of the parameter by the square root of covariance of the parameter.\n And Wald-based confidence intervals plus and minus 1.96 * W \n  It might be better to visualize the covariance matrix. See the page 'Matrix of variance-covariance of one-step probabilities' and its graphs.\n");
+       fprintf(fichtm, "\n<p>The Wald test results are output only if the maximimzation of the Likelihood is performed (mle=1)\n</br>Parameters, Wald tests and Wald-based confidence intervals\n</br> W is simply the result of the division of the parameter by the square root of covariance of the parameter.\n</br> And Wald-based confidence intervals plus and minus 1.96 * W \n </br> It might be better to visualize the covariance matrix. See the page '<a href=\"%s\">Matrix of variance-covariance of one-step probabilities and its graphs</a>'.\n</br>",optionfilehtmcov);
+       fprintf(fichtm,"\n<table style=\"text-align:center; border: 1px solid\">");
+       fprintf(fichtm, "\n<tr><th>Model=</th><th>1</th><th>+ age</th>");
+       if(nagesqr==1){
+         printf("  + age*age  ");
+         fprintf(ficres,"  + age*age  ");
+         fprintf(ficlog,"  + age*age  ");
+         fprintf(fichtm, "<th>+ age*age</th>");
+       }
+       for(j=1;j <=ncovmodel-2;j++){
+         if(Typevar[j]==0) {
+           printf("  +      V%d  ",Tvar[j]);
+           fprintf(fichtm, "<th>+ V%d</th>",Tvar[j]);
+         }else if(Typevar[j]==1) {
+           printf("  +    V%d*age ",Tvar[j]);
+           fprintf(fichtm, "<th>+  V%d*age</th>",Tvar[j]);
+         }else if(Typevar[j]==2) {
+           fprintf(fichtm, "<th>+  V%d*V%d</th>",Tvard[Tposprod[j]][1],Tvard[Tposprod[j]][2]);
+         }
+       }
+       fprintf(fichtm, "</tr>\n");
        for(i=1,jk=1; i <=nlstate; i++){
          for(k=1; k <=(nlstate+ndeath); k++){
            if (k != i) {
+             fprintf(fichtm, "<tr valign=top>");
              printf("%d%d ",i,k);
              fprintf(ficlog,"%d%d ",i,k);
+             fprintf(fichtm, "<td>%1d%1d</td>",i,k);
              for(j=1; j <=ncovmodel; j++){
-               printf("%12.7f W=%8.3f CI=[%12.7f ; %12.7f] ",p[jk], p[jk]/sqrt(matcov[jk][jk]), p[jk]-1.96*sqrt(matcov[jk][jk]),p[jk]+1.96*sqrt(matcov[jk][jk]));
+               wald=p[jk]/sqrt(matcov[jk][jk]);
-               fprintf(ficlog,"%12.7f W=%8.3f CI=[%12.7f ; %12.7f] ",p[jk], p[jk]/sqrt(matcov[jk][jk]), p[jk]-1.96*sqrt(matcov[jk][jk]),p[jk]+1.96*sqrt(matcov[jk][jk]));
+               printf("%12.7f(%12.7f) W=%8.3f CI=[%12.7f ; %12.7f] ",p[jk],sqrt(matcov[jk][jk]), p[jk]/sqrt(matcov[jk][jk]), p[jk]-1.96*sqrt(matcov[jk][jk]),p[jk]+1.96*sqrt(matcov[jk][jk]));
+               fprintf(ficlog,"%12.7f(%12.7f) W=%8.3f CI=[%12.7f ; %12.7f] ",p[jk],sqrt(matcov[jk][jk]), p[jk]/sqrt(matcov[jk][jk]), p[jk]-1.96*sqrt(matcov[jk][jk]),p[jk]+1.96*sqrt(matcov[jk][jk]));
+               if(fabs(wald) > 1.96){
+                 fprintf(fichtm, "<td><b>%12.7f</b></br> (%12.7f)</br>",p[jk],sqrt(matcov[jk][jk]));
+               }else{
+                 fprintf(fichtm, "<td>%12.7f (%12.7f)</br>",p[jk],sqrt(matcov[jk][jk]));
+               }
+               fprintf(fichtm,"W=%8.3f</br>",wald);
+               fprintf(fichtm,"[%12.7f;%12.7f]</br></td>", p[jk]-1.96*sqrt(matcov[jk][jk]),p[jk]+1.96*sqrt(matcov[jk][jk]));
                jk++;
              }
              printf("\n");
              fprintf(ficlog,"\n");
+             fprintf(fichtm, "</tr>\n");
            }
          }
        }
      } /* end of hesscov and Wald tests */
+     fprintf(fichtm,"</table>\n");
      /*  */
      fprintf(ficres,"# Scales (for hessian or gradient estimation)\n");
- Line 11116  Please run with mle=-1 to get a correct
+ Line 13441  Please run with mle=-1 to get a correct
          fputs(line,stdout);
          fputs(line,ficparo);
          fputs(line,ficlog);
+         fputs(line,ficres);
          continue;
        }else
          break;
- Line 11161  Please run with mle=-1 to get a correct
+ Line 13487  Please run with mle=-1 to get a correct
          fputs(line,stdout);
          fputs(line,ficparo);
          fputs(line,ficlog);
+         fputs(line,ficres);
          continue;
        }else
          break;
- Line 11186  Please run with mle=-1 to get a correct
+ Line 13513  Please run with mle=-1 to get a correct
          fputs(line,stdout);
          fputs(line,ficparo);
          fputs(line,ficlog);
+         fputs(line,ficres);
          continue;
        }else
          break;
- Line 11208  Please run with mle=-1 to get a correct
+ Line 13536  Please run with mle=-1 to get a correct
      }
      /* Results */
+     /* Value of covariate in each resultine will be compututed (if product) and sorted according to model rank */
+     /* It is precov[] because we need the varying age in order to compute the real cov[] of the model equation */
+     precov=matrix(1,MAXRESULTLINESPONE,1,NCOVMAX+1);
+     endishere=0;
      nresult=0;
+     parameterline=0;
      do{
        if(!fgets(line, MAXLINE, ficpar)){
          endishere=1;
-         parameterline=14;
+         parameterline=15;
        }else if (line[0] == '#') {
          /* If line starts with a # it is a comment */
          numlinepar++;
          fputs(line,stdout);
          fputs(line,ficparo);
          fputs(line,ficlog);
+         fputs(line,ficres);
          continue;
        }else if(sscanf(line,"prevforecast=%[^\n]\n",modeltemp))
          parameterline=11;
-       else if(sscanf(line,"backcast=%[^\n]\n",modeltemp))
+       else if(sscanf(line,"prevbackcast=%[^\n]\n",modeltemp))
          parameterline=12;
-       else if(sscanf(line,"result:%[^\n]\n",modeltemp))
+       else if(sscanf(line,"result:%[^\n]\n",modeltemp)){
          parameterline=13;
+       }
        else{
          parameterline=14;
        }
-       switch (parameterline){
+       switch (parameterline){ /* =0 only if only comments */
        case 11:
-         if((num_filled=sscanf(line,"prevforecast=%d starting-proj-date=%lf/%lf/%lf final-proj-date=%lf/%lf/%lf mobil_average=%d\n",&prevfcast,&jproj1,&mproj1,&anproj1,&jproj2,&mproj2,&anproj2,&mobilavproj)) !=EOF){
+         if((num_filled=sscanf(line,"prevforecast=%d starting-proj-date=%lf/%lf/%lf final-proj-date=%lf/%lf/%lf mobil_average=%d\n",&prevfcast,&jproj1,&mproj1,&anproj1,&jproj2,&mproj2,&anproj2,&mobilavproj)) !=EOF && (num_filled == 8)){
-           if (num_filled != 8) {
+                   fprintf(ficparo,"prevforecast=%d starting-proj-date=%.lf/%.lf/%.lf final-proj-date=%.lf/%.lf/%.lf mobil_average=%d\n",prevfcast,jproj1,mproj1,anproj1,jproj2,mproj2,anproj2,mobilavproj);
-             printf("Error: Not 8 (data)parameters in line but %d, for example:prevforecast=1 starting-proj-date=1/1/1990 final-proj-date=1/1/2000 mobil_average=0\n, your line=%s . Probably you are running an older format.\n",num_filled,line);
-             fprintf(ficlog,"Error: Not 8 (data)parameters in line but %d, for example:prevforecast=1 starting-proj-date=1/1/1990 final-proj-date=1/1/2000 mov_average=0\n, your line=%s . Probably you are running an older format.\n",num_filled,line);
-             goto end;
-           }
-           fprintf(ficparo,"prevforecast=%d starting-proj-date=%.lf/%.lf/%.lf final-proj-date=%.lf/%.lf/%.lf mobil_average=%d\n",prevfcast,jproj1,mproj1,anproj1,jproj2,mproj2,anproj2,mobilavproj);
            printf("prevforecast=%d starting-proj-date=%.lf/%.lf/%.lf final-proj-date=%.lf/%.lf/%.lf mobil_average=%d\n",prevfcast,jproj1,mproj1,anproj1,jproj2,mproj2,anproj2,mobilavproj);
            fprintf(ficlog,"prevforecast=%d starting-proj-date=%.lf/%.lf/%.lf final-proj-date=%.lf/%.lf/%.lf mobil_average=%d\n",prevfcast,jproj1,mproj1,anproj1,jproj2,mproj2,anproj2,mobilavproj);
            fprintf(ficres,"prevforecast=%d starting-proj-date=%.lf/%.lf/%.lf final-proj-date=%.lf/%.lf/%.lf mobil_average=%d\n",prevfcast,jproj1,mproj1,anproj1,jproj2,mproj2,anproj2,mobilavproj);
            /* day and month of proj2 are not used but only year anproj2.*/
+           dateproj1=anproj1+(mproj1-1)/12.+(jproj1-1)/365.;
+           dateproj2=anproj2+(mproj2-1)/12.+(jproj2-1)/365.;
+           prvforecast = 1;
+         }
+         else if((num_filled=sscanf(line,"prevforecast=%d yearsfproj=%lf mobil_average=%d\n",&prevfcast,&yrfproj,&mobilavproj)) !=EOF){/* && (num_filled == 3))*/
+           printf("prevforecast=%d yearsfproj=%.2lf mobil_average=%d\n",prevfcast,yrfproj,mobilavproj);
+           fprintf(ficlog,"prevforecast=%d yearsfproj=%.2lf mobil_average=%d\n",prevfcast,yrfproj,mobilavproj);
+           fprintf(ficres,"prevforecast=%d yearsfproj=%.2lf mobil_average=%d\n",prevfcast,yrfproj,mobilavproj);
+           prvforecast = 2;
+         }
+         else {
+           printf("Error: Not 8 (data)parameters in line but %d, for example:prevforecast=1 starting-proj-date=1/1/1990 final-proj-date=1/1/2000 mobil_average=0\nnor 3 (data)parameters, for example:prevforecast=1 yearsfproj=10 mobil_average=0. Your line=%s . You are running probably an older format.\n, ",num_filled,line);
+           fprintf(ficlog,"Error: Not 8 (data)parameters in line but %d, for example:prevforecast=1 starting-proj-date=1/1/1990 final-proj-date=1/1/2000 mobil_average=0\nnor 3 (data)parameters, for example:prevforecast=1 yearproj=10 mobil_average=0. Your line=%s . You are running probably an older format.\n, ",num_filled,line);
+           goto end;
          }
          break;
        case 12:
-         /*fscanf(ficpar,"backcast=%d starting-back-date=%lf/%lf/%lf final-back-date=%lf/%lf/%lf mobil_average=%d\n",&backcast,&jback1,&mback1,&anback1,&jback2,&mback2,&anback2,&mobilavproj);*/
+         if((num_filled=sscanf(line,"prevbackcast=%d starting-back-date=%lf/%lf/%lf final-back-date=%lf/%lf/%lf mobil_average=%d\n",&prevbcast,&jback1,&mback1,&anback1,&jback2,&mback2,&anback2,&mobilavproj)) !=EOF && (num_filled == 8)){
-         if((num_filled=sscanf(line,"backcast=%d starting-back-date=%lf/%lf/%lf final-back-date=%lf/%lf/%lf mobil_average=%d\n",&backcast,&jback1,&mback1,&anback1,&jback2,&mback2,&anback2,&mobilavproj)) !=EOF){
+           fprintf(ficparo,"prevbackcast=%d starting-back-date=%.lf/%.lf/%.lf final-back-date=%.lf/%.lf/%.lf mobil_average=%d\n",prevbcast,jback1,mback1,anback1,jback2,mback2,anback2,mobilavproj);
-           if (num_filled != 8) {
+           printf("prevbackcast=%d starting-back-date=%.lf/%.lf/%.lf final-back-date=%.lf/%.lf/%.lf mobil_average=%d\n",prevbcast,jback1,mback1,anback1,jback2,mback2,anback2,mobilavproj);
-             printf("Error: Not 8 (data)parameters in line but %d, for example:backcast=1 starting-back-date=1/1/1990 final-back-date=1/1/1970 mobil_average=1\n, your line=%s . Probably you are running an older format.\n",num_filled,line);
+           fprintf(ficlog,"prevbackcast=%d starting-back-date=%.lf/%.lf/%.lf final-back-date=%.lf/%.lf/%.lf mobil_average=%d\n",prevbcast,jback1,mback1,anback1,jback2,mback2,anback2,mobilavproj);
-             fprintf(ficlog,"Error: Not 8 (data)parameters in line but %d, for example:backcast=1 starting-back-date=1/1/1990 final-back-date=1/1/1970 mobil_average=1\n, your line=%s . Probably you are running an older format.\n",num_filled,line);
+           fprintf(ficres,"prevbackcast=%d starting-back-date=%.lf/%.lf/%.lf final-back-date=%.lf/%.lf/%.lf mobil_average=%d\n",prevbcast,jback1,mback1,anback1,jback2,mback2,anback2,mobilavproj);
-             goto end;
+           /* day and month of back2 are not used but only year anback2.*/
-           }
+           dateback1=anback1+(mback1-1)/12.+(jback1-1)/365.;
-           printf("backcast=%d starting-back-date=%.lf/%.lf/%.lf final-back-date=%.lf/%.lf/%.lf mobil_average=%d\n",backcast,jback1,mback1,anback1,jback2,mback2,anback2,mobilavproj);
+           dateback2=anback2+(mback2-1)/12.+(jback2-1)/365.;
-           fprintf(ficparo,"backcast=%d starting-back-date=%.lf/%.lf/%.lf final-back-date=%.lf/%.lf/%.lf mobil_average=%d\n",backcast,jback1,mback1,anback1,jback2,mback2,anback2,mobilavproj);
+           prvbackcast = 1;
-           fprintf(ficlog,"backcast=%d starting-back-date=%.lf/%.lf/%.lf final-back-date=%.lf/%.lf/%.lf mobil_average=%d\n",backcast,jback1,mback1,anback1,jback2,mback2,anback2,mobilavproj);
+         }
-           fprintf(ficres,"backcast=%d starting-back-date=%.lf/%.lf/%.lf final-back-date=%.lf/%.lf/%.lf mobil_average=%d\n",backcast,jback1,mback1,anback1,jback2,mback2,anback2,mobilavproj);
+         else if((num_filled=sscanf(line,"prevbackcast=%d yearsbproj=%lf mobil_average=%d\n",&prevbcast,&yrbproj,&mobilavproj)) ==3){/* && (num_filled == 3))*/
-           /* day and month of proj2 are not used but only year anproj2.*/
+           printf("prevbackcast=%d yearsbproj=%.2lf mobil_average=%d\n",prevbcast,yrbproj,mobilavproj);
+           fprintf(ficlog,"prevbackcast=%d yearsbproj=%.2lf mobil_average=%d\n",prevbcast,yrbproj,mobilavproj);
+           fprintf(ficres,"prevbackcast=%d yearsbproj=%.2lf mobil_average=%d\n",prevbcast,yrbproj,mobilavproj);
+           prvbackcast = 2;
+         }
+         else {
+           printf("Error: Not 8 (data)parameters in line but %d, for example:prevbackcast=1 starting-back-date=1/1/1990 final-back-date=1/1/2000 mobil_average=0\nnor 3 (data)parameters, for example:prevbackcast=1 yearsbproj=10 mobil_average=0. Your line=%s . You are running probably an older format.\n, ",num_filled,line);
+           fprintf(ficlog,"Error: Not 8 (data)parameters in line but %d, for example:prevbackcast=1 starting-back-date=1/1/1990 final-back-date=1/1/2000 mobil_average=0\nnor 3 (data)parameters, for example:prevbackcast=1 yearbproj=10 mobil_average=0. Your line=%s . You are running probably an older format.\n, ",num_filled,line);
+           goto end;
          }
          break;
        case 13:
-         if((num_filled=sscanf(line,"result:%[^\n]\n",resultline)) !=EOF){
+         num_filled=sscanf(line,"result:%[^\n]\n",resultlineori);
-           if (num_filled == 0){
+         nresult++; /* Sum of resultlines */
-             resultline[0]='\0';
+         printf("Result %d: result:%s\n",nresult, resultlineori);
-             printf("Warning %d: no result line! It should be at minimum 'result: V2=0 V1=1 or result:.\n%s\n", num_filled, line);
+         /* removefirstspace(&resultlineori); */
-             fprintf(ficlog,"Warning %d: no result line! It should be at minimum 'result: V2=0 V1=1 or result:.\n%s\n", num_filled, line);
-             break;
+         if(strstr(resultlineori,"v") !=0){
-           } else if (num_filled != 1){
+           printf("Error. 'v' must be in upper case 'V' result: %s ",resultlineori);
-             printf("ERROR %d: result line! It should be at minimum 'result: V2=0 V1=1 or result:.' %s\n",num_filled, line);
+           fprintf(ficlog,"Error. 'v' must be in upper case result: %s ",resultlineori);fflush(ficlog);
-             fprintf(ficlog,"ERROR %d: result line! It should be at minimum 'result: V2=0 V1=1 or result:.' %s\n",num_filled, line);
+           return 1;
-           }
+         }
-           nresult++; /* Sum of resultlines */
+         trimbb(resultline, resultlineori); /* Suppressing double blank in the resultline */
-           printf("Result %d: result=%s\n",nresult, resultline);
+         printf("Decoderesult resultline=\"%s\" resultlineori=\"%s\"\n", resultline, resultlineori);
-           if(nresult > MAXRESULTLINES){
+         if(nresult > MAXRESULTLINESPONE-1){
-             printf("ERROR: Current version of IMaCh limits the number of resultlines to %d, you used %d\n",MAXRESULTLINES,nresult);
+           printf("ERROR: Current version of IMaCh limits the number of resultlines to %d, you used %d\nYou can use the 'r' parameter file '%s' which uses option mle=0 to get other results. ",MAXRESULTLINESPONE-1,nresult,rfileres);
-             fprintf(ficlog,"ERROR: Current version of IMaCh limits the number of resultlines to %d, you used %d\n",MAXRESULTLINES,nresult);
+           fprintf(ficlog,"ERROR: Current version of IMaCh limits the number of resultlines to %d, you used %d\nYou can use the 'r' parameter file '%s' which uses option mle=0 to get other results. ",MAXRESULTLINESPONE-1,nresult,rfileres);
-             goto end;
+           goto end;
-           }
+         }
-           decoderesult(resultline, nresult); /* Fills TKresult[nresult] combination and Tresult[nresult][k4+1] combination values */
+         if(!decoderesult(resultline, nresult)){ /* Fills TKresult[nresult] combination and Tresult[nresult][k4+1] combination values */
            fprintf(ficparo,"result: %s\n",resultline);
            fprintf(ficres,"result: %s\n",resultline);
            fprintf(ficlog,"result: %s\n",resultline);
-           break;
+         } else
-         case 14:
+           goto end;
-           if(ncovmodel >2 && nresult==0 ){
+         break;
-             printf("ERROR: no result lines! It should be at minimum 'result: V2=0 V1=1 or result:.' %s\n",line);
+       case 14:
-             goto end;
+         printf("Error: Unknown command '%s'\n",line);
-           }
+         fprintf(ficlog,"Error: Unknown command '%s'\n",line);
-           break;
+         if(line[0] == ' ' || line[0] == '\n'){
-         default:
+           printf("It should not be an empty line '%s'\n",line);
-           nresult=1;
+           fprintf(ficlog,"It should not be an empty line '%s'\n",line);
-           decoderesult(".",nresult ); /* No covariate */
+         }
+         if(ncovmodel >=2 && nresult==0 ){
+           printf("ERROR: no result lines! It should be at minimum 'result: V2=0 V1=1 or result:.' %s\n",line);
+           fprintf(ficlog,"ERROR: no result lines! It should be at minimum 'result: V2=0 V1=1 or result:.' %s\n",line);
          }
+         /* goto end; */
+         break;
+       case 15:
+         printf("End of resultlines.\n");
+         fprintf(ficlog,"End of resultlines.\n");
+         break;
+       default: /* parameterline =0 */
+         nresult=1;
+         decoderesult(".",nresult ); /* No covariate */
        } /* End switch parameterline */
      }while(endishere==0); /* End do */
- Line 11307  Please run with mle=-1 to get a correct
+ Line 13672  Please run with mle=-1 to get a correct
  This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
  Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
      }else{
-       printinggnuplot(fileresu, optionfilefiname,ageminpar,agemaxpar,fage, prevfcast, backcast, pathc,p);
+       /* printinggnuplot(fileresu, optionfilefiname,ageminpar,agemaxpar,fage, prevfcast, backcast, pathc,p, (int)anproj1-(int)agemin, (int)anback1-(int)agemax+1); */
+       /* It seems that anprojd which is computed from the mean year at interview which is known yet because of freqsummary */
+       /* date2dmy(dateintmean,&jintmean,&mintmean,&aintmean); */ /* Done in freqsummary */
+       if(prvforecast==1){
+         dateprojd=(jproj1+12*mproj1+365*anproj1)/365;
+         jprojd=jproj1;
+         mprojd=mproj1;
+         anprojd=anproj1;
+         dateprojf=(jproj2+12*mproj2+365*anproj2)/365;
+         jprojf=jproj2;
+         mprojf=mproj2;
+         anprojf=anproj2;
+       } else if(prvforecast == 2){
+         dateprojd=dateintmean;
+         date2dmy(dateprojd,&jprojd, &mprojd, &anprojd);
+         dateprojf=dateintmean+yrfproj;
+         date2dmy(dateprojf,&jprojf, &mprojf, &anprojf);
+       }
+       if(prvbackcast==1){
+         datebackd=(jback1+12*mback1+365*anback1)/365;
+         jbackd=jback1;
+         mbackd=mback1;
+         anbackd=anback1;
+         datebackf=(jback2+12*mback2+365*anback2)/365;
+         jbackf=jback2;
+         mbackf=mback2;
+         anbackf=anback2;
+       } else if(prvbackcast == 2){
+         datebackd=dateintmean;
+         date2dmy(datebackd,&jbackd, &mbackd, &anbackd);
+         datebackf=dateintmean-yrbproj;
+         date2dmy(datebackf,&jbackf, &mbackf, &anbackf);
+       }
+       printinggnuplot(fileresu, optionfilefiname,ageminpar,agemaxpar,bage, fage, prevfcast, prevbcast, pathc,p, (int)anprojd-bage, (int)anbackd-fage);
      }
      printinghtml(fileresu,title,datafile, firstpass, lastpass, stepm, weightopt, \
-                  model,imx,jmin,jmax,jmean,rfileres,popforecast,mobilav,prevfcast,mobilavproj,backcast, estepm, \
+                  model,imx,jmin,jmax,jmean,rfileres,popforecast,mobilav,prevfcast,mobilavproj,prevbcast, estepm, \
-                  jprev1,mprev1,anprev1,dateprev1,jprev2,mprev2,anprev2,dateprev2);
+                  jprev1,mprev1,anprev1,dateprev1, dateprojd, datebackd,jprev2,mprev2,anprev2,dateprev2,dateprojf, datebackf);
      /*------------ free_vector  -------------*/
      /*  chdir(path); */
- Line 11320  Please run with mle=-1 to get a correct
+ Line 13719  Please run with mle=-1 to get a correct
      /* free_imatrix(dh,1,lastpass-firstpass+2,1,imx); */
      /* free_imatrix(bh,1,lastpass-firstpass+2,1,imx); */
      /* free_imatrix(mw,1,lastpass-firstpass+2,1,imx);    */
-     free_lvector(num,1,n);
+     free_lvector(num,firstobs,lastobs);
-     free_vector(agedc,1,n);
+     free_vector(agedc,firstobs,lastobs);
      /*free_matrix(covar,0,NCOVMAX,1,n);*/
      /*free_matrix(covar,1,NCOVMAX,1,n);*/
      fclose(ficparo);
- Line 11334  Please run with mle=-1 to get a correct
+ Line 13733  Please run with mle=-1 to get a correct
      /*--------------- Prevalence limit  (period or stable prevalence) --------------*/
      /*#include "prevlim.h"*/  /* Use ficrespl, ficlog */
      prlim=matrix(1,nlstate,1,nlstate);
+     /* Computes the prevalence limit for each combination k of the dummy covariates by calling prevalim(k) */
      prevalence_limit(p, prlim,  ageminpar, agemaxpar, ftolpl, &ncvyear);
      fclose(ficrespl);
      /*------------- h Pij x at various ages ------------*/
      /*#include "hpijx.h"*/
+     /** h Pij x Probability to be in state j at age x+h being in i at x, for each combination k of dummies in the model line or to nres?*/
+     /* calls hpxij with combination k */
      hPijx(p, bage, fage);
      fclose(ficrespij);
      /* ncovcombmax=  pow(2,cptcoveff); */
-     /*-------------- Variance of one-step probabilities---*/
+     /*-------------- Variance of one-step probabilities for a combination ij or for nres ?---*/
      k=1;
      varprob(optionfilefiname, matcov, p, delti, nlstate, bage, fage,k,Tvar,nbcode, ncodemax,strstart);
-     /* Prevalence for each covariates in probs[age][status][cov] */
+     /* Prevalence for each covariate combination in probs[age][status][cov] */
-     probs= ma3x(1,AGESUP,1,nlstate+ndeath, 1,ncovcombmax);
+     probs= ma3x(AGEINF,AGESUP,1,nlstate+ndeath, 1,ncovcombmax);
-     for(i=1;i<=AGESUP;i++)
+     for(i=AGEINF;i<=AGESUP;i++)
        for(j=1;j<=nlstate+ndeath;j++) /* ndeath is useless but a necessity to be compared with mobaverages */
          for(k=1;k<=ncovcombmax;k++)
            probs[i][j][k]=0.;
-     prevalence(probs, ageminpar, agemaxpar, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass);
+     prevalence(probs, ageminpar, agemaxpar, s, agev, nlstate, imx, Tvar, nbcode,
+                ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass);
      if (mobilav!=0 ||mobilavproj !=0 ) {
-       mobaverages= ma3x(1, AGESUP,1,nlstate+ndeath, 1,ncovcombmax);
+       mobaverages= ma3x(AGEINF, AGESUP,1,nlstate+ndeath, 1,ncovcombmax);
-       for(i=1;i<=AGESUP;i++)
+       for(i=AGEINF;i<=AGESUP;i++)
-         for(j=1;j<=nlstate;j++)
+         for(j=1;j<=nlstate+ndeath;j++)
            for(k=1;k<=ncovcombmax;k++)
              mobaverages[i][j][k]=0.;
        mobaverage=mobaverages;
- Line 11368  Please run with mle=-1 to get a correct
+ Line 13771  Please run with mle=-1 to get a correct
            fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
            printf(" Error in movingaverage mobilav=%d\n",mobilav);
          }
-       }
+       } else if (mobilavproj !=0) {
-       /* /\* Prevalence for each covariates in probs[age][status][cov] *\/ */
-       /* prevalence(probs, ageminpar, agemaxpar, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass); */
-       else if (mobilavproj !=0) {
          printf("Movingaveraging projected observed prevalence\n");
          fprintf(ficlog,"Movingaveraging projected observed prevalence\n");
          if (movingaverage(probs, ageminpar, agemaxpar, mobaverage, mobilavproj)!=0){
            fprintf(ficlog," Error in movingaverage mobilavproj=%d\n",mobilavproj);
            printf(" Error in movingaverage mobilavproj=%d\n",mobilavproj);
          }
+       }else{
+         printf("Internal error moving average\n");
+         fflush(stdout);
+         exit(1);
        }
      }/* end if moving average */
      /*---------- Forecasting ------------------*/
-     /*if((stepm == 1) && (strcmp(model,".")==0)){*/
+     if(prevfcast==1){
-     if(prevfcast==1){
+       /*   /\*    if(stepm ==1){*\/ */
-       /*    if(stepm ==1){*/
+       /*   /\*  anproj1, mproj1, jproj1 either read explicitly or yrfproj *\/ */
-       prevforecast(fileresu, anproj1, mproj1, jproj1, agemin, agemax, dateprev1, dateprev2, mobilavproj, bage, fage, firstpass, lastpass, anproj2, p, cptcoveff);
+       /*This done previously after freqsummary.*/
+       /*   dateprojd=(jproj1+12*mproj1+365*anproj1)/365; */
+       /*   dateprojf=(jproj2+12*mproj2+365*anproj2)/365; */
+       /* } else if (prvforecast==2){ */
+       /*   /\*    if(stepm ==1){*\/ */
+       /*   /\*  anproj1, mproj1, jproj1 either read explicitly or yrfproj *\/ */
+       /* } */
+       /*prevforecast(fileresu, dateintmean, anproj1, mproj1, jproj1, agemin, agemax, dateprev1, dateprev2, mobilavproj, mobaverage, bage, fage, firstpass, lastpass, anproj2, p, cptcoveff);*/
+       prevforecast(fileresu,dateintmean, dateprojd, dateprojf, agemin, agemax, dateprev1, dateprev2, mobilavproj, mobaverage, bage, fage, firstpass, lastpass, p, cptcoveff);
      }
-     if(backcast==1){
+     /* Prevbcasting */
+     if(prevbcast==1){
        ddnewms=matrix(1,nlstate+ndeath,1,nlstate+ndeath);
        ddoldms=matrix(1,nlstate+ndeath,1,nlstate+ndeath);
        ddsavms=matrix(1,nlstate+ndeath,1,nlstate+ndeath);
- Line 11395  Please run with mle=-1 to get a correct
+ Line 13810  Please run with mle=-1 to get a correct
        /*--------------- Back Prevalence limit  (period or stable prevalence) --------------*/
        bprlim=matrix(1,nlstate,1,nlstate);
        back_prevalence_limit(p, bprlim,  ageminpar, agemaxpar, ftolpl, &ncvyear, dateprev1, dateprev2, firstpass, lastpass, mobilavproj);
        fclose(ficresplb);
        hBijx(p, bage, fage, mobaverage);
        fclose(ficrespijb);
-       free_matrix(bprlim,1,nlstate,1,nlstate); /*here or after loop ? */
-       /* prevbackforecast(fileresu, anback1, mback1, jback1, agemin, agemax, dateprev1, dateprev2, mobilavproj,
+       /* /\* prevbackforecast(fileresu, mobaverage, anback1, mback1, jback1, agemin, agemax, dateprev1, dateprev2, *\/ */
-          bage, fage, firstpass, lastpass, anback2, p, cptcoveff); */
+       /* /\*                   mobilavproj, bage, fage, firstpass, lastpass, anback2, p, cptcoveff); *\/ */
+       /* prevbackforecast(fileresu, mobaverage, anback1, mback1, jback1, agemin, agemax, dateprev1, dateprev2, */
+       /*                       mobilavproj, bage, fage, firstpass, lastpass, anback2, p, cptcoveff); */
+       prevbackforecast(fileresu, mobaverage, dateintmean, dateprojd, dateprojf, agemin, agemax, dateprev1, dateprev2,
+                        mobilavproj, bage, fage, firstpass, lastpass, p, cptcoveff);
+       varbprlim(fileresu, nresult, mobaverage, mobilavproj, bage, fage, bprlim, &ncvyear, ftolpl, p, matcov, delti, stepm, cptcoveff);
+       free_matrix(bprlim,1,nlstate,1,nlstate); /*here or after loop ? */
        free_matrix(ddnewms, 1, nlstate+ndeath, 1, nlstate+ndeath);
        free_matrix(ddsavms, 1, nlstate+ndeath, 1, nlstate+ndeath);
        free_matrix(ddoldms, 1, nlstate+ndeath, 1, nlstate+ndeath);
-     }
+     }    /* end  Prevbcasting */
      /* ------ Other prevalence ratios------------ */
- Line 11441  Please run with mle=-1 to get a correct
+ Line 13866  Please run with mle=-1 to get a correct
        fprintf(ficreseij,"\n#****** ");
        printf("\n#****** ");
        for(j=1;j<=cptcoveff;j++) {
-         fprintf(ficreseij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
+         fprintf(ficreseij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,TnsdVar[Tvaraff[j]])]);
-         printf("V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
+         printf("V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,TnsdVar[Tvaraff[j]])]);
        }
        for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
-         printf(" V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
+         printf(" V%d=%lg ",TvarsQ[j], TinvDoQresult[nres][TvarsQ[j]]); /* TvarsQ[j] gives the name of the jth quantitative (fixed or time v) */
-         fprintf(ficreseij," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
+         fprintf(ficreseij,"V%d=%lg ",TvarsQ[j], TinvDoQresult[nres][TvarsQ[j]]);
        }
        fprintf(ficreseij,"******\n");
        printf("******\n");
        eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
        oldm=oldms;savm=savms;
+       /* printf("HELLO Entering evsij bage=%d fage=%d k=%d estepm=%d nres=%d\n",(int) bage, (int)fage, k, estepm, nres); */
        evsij(eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k, estepm, strstart, nres);
        free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);
- Line 11460  Please run with mle=-1 to get a correct
+ Line 13886  Please run with mle=-1 to get a correct
      fclose(ficreseij);
      printf("done evsij\n");fflush(stdout);
      fprintf(ficlog,"done evsij\n");fflush(ficlog);
      /*---------- State-specific expectancies and variances ------------*/
+     /* Should be moved in a function */
      strcpy(filerest,"T_");
      strcat(filerest,fileresu);
      if((ficrest=fopen(filerest,"w"))==NULL) {
- Line 11472  Please run with mle=-1 to get a correct
+ Line 13898  Please run with mle=-1 to get a correct
      }
      printf("Computing Total Life expectancies with their standard errors: file '%s' ...\n", filerest); fflush(stdout);
      fprintf(ficlog,"Computing Total Life expectancies with their standard errors: file '%s' ...\n", filerest); fflush(ficlog);
      strcpy(fileresstde,"STDE_");
      strcat(fileresstde,fileresu);
      if((ficresstdeij=fopen(fileresstde,"w"))==NULL) {
- Line 11501  Please run with mle=-1 to get a correct
+ Line 13925  Please run with mle=-1 to get a correct
      printf("      Computing Variance-covariance of State-specific Expectancies: file '%s' ... ", fileresv);fflush(stdout);
      fprintf(ficlog,"      Computing Variance-covariance of State-specific Expectancies: file '%s' ... ", fileresv);fflush(ficlog);
-     /*for(cptcov=1,k=0;cptcov<=i1;cptcov++){
-       for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*/
      i1=pow(2,cptcoveff); /* Number of combination of dummy covariates */
      if (cptcovn < 1){i1=1;}
-     for(nres=1; nres <= nresult; nres++) /* For each resultline */
+     for(nres=1; nres <= nresult; nres++) /* For each resultline, find the combination and output results according to the values of dummies and then quanti.  */
-     for(k=1; k<=i1;k++){ /* For any combination of dummy covariates, fixed and varying */
+     for(k=1; k<=i1;k++){ /* For any combination of dummy covariates, fixed and varying. For each nres and each value at position k
-       if(i1 != 1 && TKresult[nres]!= k)
+                           * we know Tresult[nres][result_position]= value of the dummy variable at the result_position in the nres resultline
+                           * Tvqresult[nres][result_position]= id of the variable at the result_position in the nres resultline
+                           * and Tqresult[nres][result_position]= value of the variable at the result_position in the nres resultline */
+       /* */
+       if(i1 != 1 && TKresult[nres]!= k) /* TKresult[nres] is the combination of this nres resultline. All the i1 combinations are not output */
          continue;
-       printf("\n#****** Result for:");
+       printf("\n# model %s \n#****** Result for:", model);
-       fprintf(ficrest,"\n#****** Result for:");
+       fprintf(ficrest,"\n# model %s \n#****** Result for:", model);
-       fprintf(ficlog,"\n#****** Result for:");
+       fprintf(ficlog,"\n# model %s \n#****** Result for:", model);
-       for(j=1;j<=cptcoveff;j++){
+       /* It might not be a good idea to mix dummies and quantitative */
-         printf("V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
+       /* for(j=1;j<=cptcoveff;j++){ /\* j=resultpos. Could be a loop on cptcovs: number of single dummy covariate in the result line as well as in the model *\/ */
-         fprintf(ficrest,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
+       for(j=1;j<=cptcovs;j++){ /* j=resultpos. Could be a loop on cptcovs: number of single covariate (dummy or quantitative) in the result line as well as in the model */
-         fprintf(ficlog,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
+         /* printf("V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,TnsdVar[Tvaraff[j]])]); /\* Output by variables in the resultline *\/ */
-       }
+         /* Tvaraff[j] is the name of the dummy variable in position j in the equation model:
-       for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
+          * Tvaraff[1]@9={4, 3, 0, 0, 0, 0, 0, 0, 0}, in model=V5+V4+V3+V4*V3+V5*age
-         printf(" V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
+          * (V5 is quanti) V4 and V3 are dummies
-         fprintf(ficrest," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
+          * TnsdVar[4] is the position 1 and TnsdVar[3]=2 in codtabm(k,l)(V4  V3)=V4  V3
-         fprintf(ficlog," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
+          *                                                              l=1 l=2
-       }
+          *                                                           k=1  1   1   0   0
+          *                                                           k=2  2   1   1   0
+          *                                                           k=3 [1] [2]  0   1
+          *                                                           k=4  2   2   1   1
+          * If nres=1 result: V3=1 V4=0 then k=3 and outputs
+          * If nres=2 result: V4=1 V3=0 then k=2 and outputs
+          * nres=1 =>k=3 j=1 V4= nbcode[4][codtabm(3,1)=1)=0; j=2  V3= nbcode[3][codtabm(3,2)=2]=1
+          * nres=2 =>k=2 j=1 V4= nbcode[4][codtabm(2,1)=2)=1; j=2  V3= nbcode[3][codtabm(2,2)=1]=0
+          */
+         /* Tvresult[nres][j] Name of the variable at position j in this resultline */
+         /* Tresult[nres][j] Value of this variable at position j could be a float if quantitative  */
+ /* We give up with the combinations!! */
+         printf("\n j=%d In computing T_ Dummy[modelresult[%d][%d]]=%d, modelresult[%d][%d]=%d cptcovs=%d, cptcoveff=%d Fixed[modelresult[nres][j]]=%d\n", j, nres, j, Dummy[modelresult[nres][j]],nres,j,modelresult[nres][j],cptcovs, cptcoveff,Fixed[modelresult[nres][j]]);  /* end if dummy  or quanti */
+         if(Dummy[modelresult[nres][j]]==0){/* Dummy variable of the variable in position modelresult in the model corresponding to j in resultline  */
+           printf("V%d=%lg ",Tvresult[nres][j],TinvDoQresult[nres][j]); /* Output of each value for the combination TKresult[nres], ordere by the covariate values in the resultline  */
+           fprintf(ficlog,"V%d=%lg ",Tvresult[nres][j],TinvDoQresult[nres][j]); /* Output of each value for the combination TKresult[nres], ordere by the covariate values in the resultline  */
+           fprintf(ficrest,"V%d=%lg ",Tvresult[nres][j],TinvDoQresult[nres][j]); /* Output of each value for the combination TKresult[nres], ordere by the covariate values in the resultline  */
+           if(Fixed[modelresult[nres][j]]==0){ /* Fixed */
+             printf("fixed ");fprintf(ficlog,"fixed ");fprintf(ficrest,"fixed ");
+           }else{
+             printf("varyi ");fprintf(ficlog,"varyi ");fprintf(ficrest,"varyi ");
+           }
+           /* fprintf(ficrest,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,TnsdVar[Tvaraff[j]])]); */
+           /* fprintf(ficlog,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,TnsdVar[Tvaraff[j]])]); */
+         }else if(Dummy[modelresult[nres][j]]==1){ /* Quanti variable */
+           /* For each selected (single) quantitative value */
+           printf(" V%d=%lg ",Tvqresult[nres][j],Tqresult[nres][j]);
+           fprintf(ficlog," V%d=%lg ",Tvqresult[nres][j],Tqresult[nres][j]);
+           fprintf(ficrest," V%d=%lg ",Tvqresult[nres][j],Tqresult[nres][j]);
+           if(Fixed[modelresult[nres][j]]==0){ /* Fixed */
+             printf("fixed ");fprintf(ficlog,"fixed ");fprintf(ficrest,"fixed ");
+           }else{
+             printf("varyi ");fprintf(ficlog,"varyi ");fprintf(ficrest,"varyi ");
+           }
+         }else{
+           printf("Error in computing T_ Dummy[modelresult[%d][%d]]=%d, modelresult[%d][%d]=%d cptcovs=%d, cptcoveff=%d \n", nres, j, Dummy[modelresult[nres][j]],nres,j,modelresult[nres][j],cptcovs, cptcoveff);  /* end if dummy  or quanti */
+           fprintf(ficlog,"Error in computing T_ Dummy[modelresult[%d][%d]]=%d, modelresult[%d][%d]=%d cptcovs=%d, cptcoveff=%d \n", nres, j, Dummy[modelresult[nres][j]],nres,j,modelresult[nres][j],cptcovs, cptcoveff);  /* end if dummy  or quanti */
+           exit(1);
+         }
+       } /* End loop for each variable in the resultline */
+       /* for (j=1; j<= nsq; j++){ /\* For each selected (single) quantitative value *\/ */
+       /*        printf(" V%d=%f ",Tvqresult[nres][j],Tqresult[nres][resultmodel[nres][j]]); /\* Wrong j is not in the equation model *\/ */
+       /*        fprintf(ficrest," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][resultmodel[nres][j]]); */
+       /*        fprintf(ficlog," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][resultmodel[nres][j]]); */
+       /* }       */
        fprintf(ficrest,"******\n");
        fprintf(ficlog,"******\n");
        printf("******\n");
        fprintf(ficresstdeij,"\n#****** ");
        fprintf(ficrescveij,"\n#****** ");
+       /* It could have been: for(j=1;j<=cptcoveff;j++) {printf("V=%d=%lg",Tvresult[nres][cpt],TinvDoQresult[nres][Tvresult[nres][cpt]]);} */
+       /* But it won't be sorted and depends on how the resultline is ordered */
        for(j=1;j<=cptcoveff;j++) {
-         fprintf(ficresstdeij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
+         fprintf(ficresstdeij,"V%d=%d ",Tvresult[nres][j],Tresult[nres][j]);
-         fprintf(ficrescveij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
+         /* fprintf(ficresstdeij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,TnsdVar[Tvaraff[j]])]); */
-       }
+         /* fprintf(ficrescveij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,TnsdVar[Tvaraff[j]])]); */
-       for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
+       }
-         fprintf(ficresstdeij," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
+       for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value, TvarsQind gives the position of a quantitative in model equation  */
-         fprintf(ficrescveij," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
+         fprintf(ficresstdeij," V%d=%lg ",Tvar[TvarsQind[j]],Tqresult[nres][resultmodel[nres][TvarsQind[j]]]);
+         fprintf(ficrescveij," V%d=%lg ",Tvar[TvarsQind[j]],Tqresult[nres][resultmodel[nres][TvarsQind[j]]]);
        }
        fprintf(ficresstdeij,"******\n");
        fprintf(ficrescveij,"******\n");
- Line 11544  Please run with mle=-1 to get a correct
+ Line 14017  Please run with mle=-1 to get a correct
        fprintf(ficresvij,"\n#****** ");
        /* pstamp(ficresvij); */
        for(j=1;j<=cptcoveff;j++)
-         fprintf(ficresvij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
+         fprintf(ficresvij,"V%d=%d ",Tvresult[nres][j],Tresult[nres][j]);
+         /* fprintf(ficresvij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,TnsdVar[TnsdVar[Tvaraff[j]]])]); */
        for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
-         fprintf(ficresvij," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
+         /* fprintf(ficresvij," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]); /\* To solve *\/ */
+         fprintf(ficresvij," V%d=%lg ",Tvqresult[nres][j],Tqresult[nres][resultmodel[nres][j]]); /* Solved */
        }
        fprintf(ficresvij,"******\n");
- Line 11565  Please run with mle=-1 to get a correct
+ Line 14040  Please run with mle=-1 to get a correct
        vareij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
        pstamp(ficrest);
+       epj=vector(1,nlstate+1);
        for(vpopbased=0; vpopbased <= popbased; vpopbased++){ /* Done for vpopbased=0 and vpopbased=1 if popbased==1*/
          oldm=oldms;savm=savms; /* ZZ Segmentation fault */
          cptcod= 0; /* To be deleted */
- Line 11576  Please run with mle=-1 to get a correct
+ Line 14051  Please run with mle=-1 to get a correct
          if(vpopbased==1)
            fprintf(ficrest,"the age specific prevalence observed (cross-sectionally) in the population i.e cross-sectionally\n in each health state (popbased=1) (mobilav=%d)\n",mobilav);
          else
-           fprintf(ficrest,"the age specific period (stable) prevalences in each health state \n");
+           fprintf(ficrest,"the age specific forward period (stable) prevalences in each health state \n");
-         fprintf(ficrest,"# Age popbased mobilav e.. (std) ");
+         fprintf(ficrest,"# Age popbased mobilav e.. (std) "); /* Adding covariate values? */
          for (i=1;i<=nlstate;i++) fprintf(ficrest,"e.%d (std) ",i);
          fprintf(ficrest,"\n");
          /* printf("Which p?\n"); for(i=1;i<=npar;i++)printf("p[i=%d]=%lf,",i,p[i]);printf("\n"); */
-         epj=vector(1,nlstate+1);
+         printf("Computing age specific forward period (stable) prevalences in each health state \n");
-         printf("Computing age specific period (stable) prevalences in each health state \n");
+         fprintf(ficlog,"Computing age specific forward period (stable) prevalences in each health state \n");
-         fprintf(ficlog,"Computing age specific period (stable) prevalences in each health state \n");
          for(age=bage; age <=fage ;age++){
            prevalim(prlim, nlstate, p, age, oldm, savm, ftolpl, &ncvyear, k, nres); /*ZZ Is it the correct prevalim */
            if (vpopbased==1) {
- Line 11619  Please run with mle=-1 to get a correct
+ Line 14093  Please run with mle=-1 to get a correct
            fprintf(ficrest,"\n");
          }
        } /* End vpopbased */
+       free_vector(epj,1,nlstate+1);
        free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);
        free_ma3x(vareij,1,nlstate,1,nlstate,(int) bage, (int)fage);
-       free_vector(epj,1,nlstate+1);
        printf("done selection\n");fflush(stdout);
        fprintf(ficlog,"done selection\n");fflush(ficlog);
-       /*}*/
+     } /* End k selection or end covariate selection for nres */
-     } /* End k selection */
      printf("done State-specific expectancies\n");fflush(stdout);
      fprintf(ficlog,"done State-specific expectancies\n");fflush(ficlog);
-     /*------- Variance of period (stable) prevalence------*/
+     /* variance-covariance of forward period prevalence */
+     varprlim(fileresu, nresult, mobaverage, mobilavproj, bage, fage, prlim, &ncvyear, ftolpl, p, matcov, delti, stepm, cptcoveff);
-     strcpy(fileresvpl,"VPL_");
-     strcat(fileresvpl,fileresu);
-     if((ficresvpl=fopen(fileresvpl,"w"))==NULL) {
-       printf("Problem with variance of period (stable) prevalence  resultfile: %s\n", fileresvpl);
-       exit(0);
-     }
-     printf("Computing Variance-covariance of period (stable) prevalence: file '%s' ...", fileresvpl);fflush(stdout);
-     fprintf(ficlog, "Computing Variance-covariance of period (stable) prevalence: file '%s' ...", fileresvpl);fflush(ficlog);
-     /*for(cptcov=1,k=0;cptcov<=i1;cptcov++){
-       for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*/
-     i1=pow(2,cptcoveff);
-     if (cptcovn < 1){i1=1;}
-     for(nres=1; nres <= nresult; nres++) /* For each resultline */
-     for(k=1; k<=i1;k++){
-       if(i1 != 1 && TKresult[nres]!= k)
-         continue;
-       fprintf(ficresvpl,"\n#****** ");
-       printf("\n#****** ");
-       fprintf(ficlog,"\n#****** ");
-       for(j=1;j<=cptcoveff;j++) {
-         fprintf(ficresvpl,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
-         fprintf(ficlog,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
-         printf("V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
-       }
-       for (j=1; j<= nsq; j++){ /* For each selected (single) quantitative value */
-         printf(" V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
-         fprintf(ficresvpl," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
-         fprintf(ficlog," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][j]);
-       }
-       fprintf(ficresvpl,"******\n");
-       printf("******\n");
-       fprintf(ficlog,"******\n");
-       varpl=matrix(1,nlstate,(int) bage, (int) fage);
-       oldm=oldms;savm=savms;
-       varprevlim(fileres, varpl, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl, &ncvyear, k, strstart, nres);
-       free_matrix(varpl,1,nlstate,(int) bage, (int)fage);
-       /*}*/
-     }
-     fclose(ficresvpl);
-     printf("done variance-covariance of period prevalence\n");fflush(stdout);
-     fprintf(ficlog,"done variance-covariance of period prevalence\n");fflush(ficlog);
-     free_vector(weight,1,n);
+     free_vector(weight,firstobs,lastobs);
+     free_imatrix(Tvardk,1,NCOVMAX,1,2);
      free_imatrix(Tvard,1,NCOVMAX,1,2);
-     free_imatrix(s,1,maxwav+1,1,n);
+     free_imatrix(s,1,maxwav+1,firstobs,lastobs);
-     free_matrix(anint,1,maxwav,1,n);
+     free_matrix(anint,1,maxwav,firstobs,lastobs);
-     free_matrix(mint,1,maxwav,1,n);
+     free_matrix(mint,1,maxwav,firstobs,lastobs);
-     free_ivector(cod,1,n);
+     free_ivector(cod,firstobs,lastobs);
      free_ivector(tab,1,NCOVMAX);
      fclose(ficresstdeij);
      fclose(ficrescveij);
- Line 11696  Please run with mle=-1 to get a correct
+ Line 14125  Please run with mle=-1 to get a correct
      /*---------- End : free ----------------*/
      if (mobilav!=0 ||mobilavproj !=0)
-       free_ma3x(mobaverages,1, AGESUP,1,nlstate+ndeath, 1,ncovcombmax); /* We need to have a squared matrix with prevalence of the dead! */
+       free_ma3x(mobaverages,AGEINF, AGESUP,1,nlstate+ndeath, 1,ncovcombmax); /* We need to have a squared matrix with prevalence of the dead! */
-     free_ma3x(probs,1,AGESUP,1,nlstate+ndeath, 1,ncovcombmax);
+     free_ma3x(probs,AGEINF,AGESUP,1,nlstate+ndeath, 1,ncovcombmax);
      free_matrix(prlim,1,nlstate,1,nlstate); /*here or after loop ? */
      free_matrix(pmmij,1,nlstate+ndeath,1,nlstate+ndeath);
    }  /* mle==-3 arrives here for freeing */
- Line 11705  Please run with mle=-1 to get a correct
+ Line 14134  Please run with mle=-1 to get a correct
    free_matrix(oldms, 1,nlstate+ndeath,1,nlstate+ndeath);
    free_matrix(newms, 1,nlstate+ndeath,1,nlstate+ndeath);
    free_matrix(savms, 1,nlstate+ndeath,1,nlstate+ndeath);
-   free_ma3x(cotqvar,1,maxwav,1,nqtv,1,n);
+   if(ntv+nqtv>=1)free_ma3x(cotvar,1,maxwav,1,ntv+nqtv,firstobs,lastobs);
-   free_ma3x(cotvar,1,maxwav,1,ntv+nqtv,1,n);
+   if(nqtv>=1)free_ma3x(cotqvar,1,maxwav,1,nqtv,firstobs,lastobs);
-   free_matrix(coqvar,1,maxwav,1,n);
+   if(nqv>=1)free_matrix(coqvar,1,nqv,firstobs,lastobs);
-   free_matrix(covar,0,NCOVMAX,1,n);
+   free_matrix(covar,0,NCOVMAX,firstobs,lastobs);
    free_matrix(matcov,1,npar,1,npar);
    free_matrix(hess,1,npar,1,npar);
    /*free_vector(delti,1,npar);*/
    free_ma3x(delti3,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel);
    free_matrix(agev,1,maxwav,1,imx);
+   free_ma3x(paramstart,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel);
    free_ma3x(param,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel);
    free_ivector(ncodemax,1,NCOVMAX);
- Line 11727  Please run with mle=-1 to get a correct
+ Line 14157  Please run with mle=-1 to get a correct
    free_ivector(TvarsQ,1,NCOVMAX);
    free_ivector(TvarsQind,1,NCOVMAX);
    free_ivector(TvarsD,1,NCOVMAX);
+   free_ivector(TnsdVar,1,NCOVMAX);
    free_ivector(TvarsDind,1,NCOVMAX);
    free_ivector(TvarFD,1,NCOVMAX);
    free_ivector(TvarFDind,1,NCOVMAX);
- Line 11752  Please run with mle=-1 to get a correct
+ Line 14183  Please run with mle=-1 to get a correct
    free_ivector(Tmodelind,1,NCOVMAX);
    free_ivector(TmodelInvind,1,NCOVMAX);
    free_ivector(TmodelInvQind,1,NCOVMAX);
+   free_matrix(precov, 1,MAXRESULTLINESPONE,1,NCOVMAX+1); /* Could be elsewhere ?*/
    free_imatrix(nbcode,0,NCOVMAX,0,NCOVMAX);
    /* free_imatrix(codtab,1,100,1,10); */
    fflush(fichtm);
- Line 11790  Please run with mle=-1 to get a correct
+ Line 14223  Please run with mle=-1 to get a correct
    fclose(ficlog);
    /*------ End -----------*/
+ /* Executes gnuplot */
    printf("Before Current directory %s!\n",pathcd);
  #ifdef WIN32
- Line 11825  Please run with mle=-1 to get a correct
+ Line 14260  Please run with mle=-1 to get a correct
    sprintf(plotcmd,"%s %s",pplotcmd, optionfilegnuplot);
    printf("Starting graphs with: '%s'\n",plotcmd);fflush(stdout);
+   strcpy(pplotcmd,plotcmd);
    if((outcmd=system(plotcmd)) != 0){
-     printf("gnuplot command might not be in your path: '%s', err=%d\n", plotcmd, outcmd);
+     printf("Error in 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)
+     if((outcmd=system(plotcmd)) != 0){
        printf("\n Still a problem with gnuplot command %s, err=%d\n", plotcmd, outcmd);
+       strcpy(plotcmd,pplotcmd);
+     }
    }
    printf(" Successful, please wait...");
    while (z[0] != 'q') {
- Line 11858  end:
+ Line 14296  end:
      printf("\nType  q for exiting: "); fflush(stdout);
      scanf("%s",z);
    }
+   printf("End\n");
+   exit(0);
  }

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