Diff for /imach/src/imach.c between versions 1.146 and 1.358

version 1.146, 2014/06/16 10:20:28 version 1.358, 2023/06/14 14:57:02
Line 1 Line 1
 /* $Id$  /* $Id$
   $State$    $State$
   $Log$    $Log$
     Revision 1.358  2023/06/14 14:57:02  brouard
     * imach.c (Module): Testing if conjugate gradient could be quicker when lot of variables POWELLORIGINCONJUGATE
   
     Revision 1.357  2023/06/14 14:55:52  brouard
     * imach.c (Module): Testing if conjugate gradient could be quicker when lot of variables POWELLORIGINCONJUGATE
   
     Revision 1.356  2023/05/23 12:08:43  brouard
     Summary: 0.99r46
   
     * imach.c (Module): Fixed PROB_r
   
     Revision 1.355  2023/05/22 17:03:18  brouard
     Summary: 0.99r46
   
     * imach.c (Module): In the ILK....txt file, the number of columns
     before the covariates values is dependent of the number of states (16+nlstate): 0.99r46
   
     Revision 1.354  2023/05/21 05:05:17  brouard
     Summary: Temporary change for imachprax
   
     Revision 1.353  2023/05/08 18:48:22  brouard
     *** empty log message ***
   
     Revision 1.352  2023/04/29 10:46:21  brouard
     *** empty log message ***
   
     Revision 1.351  2023/04/29 10:43:47  brouard
     Summary: 099r45
   
     Revision 1.350  2023/04/24 11:38:06  brouard
     *** empty log message ***
   
     Revision 1.349  2023/01/31 09:19:37  brouard
     Summary: Improvements in models with age*Vn*Vm
   
     Revision 1.347  2022/09/18 14:36:44  brouard
     Summary: version 0.99r42
   
     Revision 1.346  2022/09/16 13:52:36  brouard
     * src/imach.c (Module): 0.99r41 Was an error when product of timevarying and fixed. Using FixedV[of name] now. Thank you  Feinuo
   
     Revision 1.345  2022/09/16 13:40:11  brouard
     Summary: Version 0.99r41
   
     * imach.c (Module): 0.99r41 Was an error when product of timevarying and fixed. Using FixedV[of name] now. Thank you  Feinuo
   
     Revision 1.344  2022/09/14 19:33:30  brouard
     Summary: version 0.99r40
   
     * imach.c (Module): Fixing names of variables in T_ (thanks to Feinuo)
   
     Revision 1.343  2022/09/14 14:22:16  brouard
     Summary: version 0.99r39
   
     * imach.c (Module): Version 0.99r39 with colored dummy covariates
     (fixed or time varying), using new last columns of
     ILK_parameter.txt file.
   
     Revision 1.342  2022/09/11 19:54:09  brouard
     Summary: 0.99r38
   
     * imach.c (Module): Adding timevarying products of any kinds,
     should work before shifting cotvar from ncovcol+nqv columns in
     order to have a correspondance between the column of cotvar and
     the id of column.
     (Module): Some cleaning and adding covariates in ILK.txt
   
     Revision 1.341  2022/09/11 07:58:42  brouard
     Summary: Version 0.99r38
   
     After adding change in cotvar.
   
     Revision 1.340  2022/09/11 07:53:11  brouard
     Summary: Version imach 0.99r37
   
     * imach.c (Module): Adding timevarying products of any kinds,
     should work before shifting cotvar from ncovcol+nqv columns in
     order to have a correspondance between the column of cotvar and
     the id of column.
   
     Revision 1.339  2022/09/09 17:55:22  brouard
     Summary: version 0.99r37
   
     * imach.c (Module): Many improvements for fixing products of fixed
     timevarying as well as fixed * fixed, and test with quantitative
     covariate.
   
     Revision 1.338  2022/09/04 17:40:33  brouard
     Summary: 0.99r36
   
     * imach.c (Module): Now the easy runs i.e. without result or
     model=1+age only did not work. The defautl combination should be 1
     and not 0 because everything hasn't been tranformed yet.
   
     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
     1+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 ***
   
     Revision 1.261  2017/04/05 10:14:09  brouard
     Summary: Bug in E_ as well as in T_ fixed nres-1 vs k1-1
   
     Revision 1.260  2017/04/04 17:46:59  brouard
     Summary: Gnuplot indexations fixed (humm)
   
     Revision 1.259  2017/04/04 13:01:16  brouard
     Summary: Some errors to warnings only if date of death is unknown but status is death we could set to pi3
   
     Revision 1.258  2017/04/03 10:17:47  brouard
     Summary: Version 0.99r12
   
     Some cleanings, conformed with updated documentation.
   
     Revision 1.257  2017/03/29 16:53:30  brouard
     Summary: Temp
   
     Revision 1.256  2017/03/27 05:50:23  brouard
     Summary: Temporary
   
     Revision 1.255  2017/03/08 16:02:28  brouard
     Summary: IMaCh version 0.99r10 bugs in gnuplot fixed
   
     Revision 1.254  2017/03/08 07:13:00  brouard
     Summary: Fixing data parameter line
   
     Revision 1.253  2016/12/15 11:59:41  brouard
     Summary: 0.99 in progress
   
     Revision 1.252  2016/09/15 21:15:37  brouard
     *** empty log message ***
   
     Revision 1.251  2016/09/15 15:01:13  brouard
     Summary: not working
   
     Revision 1.250  2016/09/08 16:07:27  brouard
     Summary: continue
   
     Revision 1.249  2016/09/07 17:14:18  brouard
     Summary: Starting values from frequencies
   
     Revision 1.248  2016/09/07 14:10:18  brouard
     *** empty log message ***
   
     Revision 1.247  2016/09/02 11:11:21  brouard
     *** empty log message ***
   
     Revision 1.246  2016/09/02 08:49:22  brouard
     *** empty log message ***
   
     Revision 1.245  2016/09/02 07:25:01  brouard
     *** empty log message ***
   
     Revision 1.244  2016/09/02 07:17:34  brouard
     *** empty log message ***
   
     Revision 1.243  2016/09/02 06:45:35  brouard
     *** empty log message ***
   
     Revision 1.242  2016/08/30 15:01:20  brouard
     Summary: Fixing a lots
   
     Revision 1.241  2016/08/29 17:17:25  brouard
     Summary: gnuplot problem in Back projection to fix
   
     Revision 1.240  2016/08/29 07:53:18  brouard
     Summary: Better
   
     Revision 1.239  2016/08/26 15:51:03  brouard
     Summary: Improvement in Powell output in order to copy and paste
   
     Author:
   
     Revision 1.238  2016/08/26 14:23:35  brouard
     Summary: Starting tests of 0.99
   
     Revision 1.237  2016/08/26 09:20:19  brouard
     Summary: to valgrind
   
     Revision 1.236  2016/08/25 10:50:18  brouard
     *** empty log message ***
   
     Revision 1.235  2016/08/25 06:59:23  brouard
     *** empty log message ***
   
     Revision 1.234  2016/08/23 16:51:20  brouard
     *** empty log message ***
   
     Revision 1.233  2016/08/23 07:40:50  brouard
     Summary: not working
   
     Revision 1.232  2016/08/22 14:20:21  brouard
     Summary: not working
   
     Revision 1.231  2016/08/22 07:17:15  brouard
     Summary: not working
   
     Revision 1.230  2016/08/22 06:55:53  brouard
     Summary: Not working
   
     Revision 1.229  2016/07/23 09:45:53  brouard
     Summary: Completing for func too
   
     Revision 1.228  2016/07/22 17:45:30  brouard
     Summary: Fixing some arrays, still debugging
   
     Revision 1.226  2016/07/12 18:42:34  brouard
     Summary: temp
   
     Revision 1.225  2016/07/12 08:40:03  brouard
     Summary: saving but not running
   
     Revision 1.224  2016/07/01 13:16:01  brouard
     Summary: Fixes
   
     Revision 1.223  2016/02/19 09:23:35  brouard
     Summary: temporary
   
     Revision 1.222  2016/02/17 08:14:50  brouard
     Summary: Probably last 0.98 stable version 0.98r6
   
     Revision 1.221  2016/02/15 23:35:36  brouard
     Summary: minor bug
   
     Revision 1.219  2016/02/15 00:48:12  brouard
     *** empty log message ***
   
     Revision 1.218  2016/02/12 11:29:23  brouard
     Summary: 0.99 Back projections
   
     Revision 1.217  2015/12/23 17:18:31  brouard
     Summary: Experimental backcast
   
     Revision 1.216  2015/12/18 17:32:11  brouard
     Summary: 0.98r4 Warning and status=-2
   
     Version 0.98r4 is now:
      - displaying an error when status is -1, date of interview unknown and date of death known;
      - permitting a status -2 when the vital status is unknown at a known date of right truncation.
     Older changes concerning s=-2, dating from 2005 have been supersed.
   
     Revision 1.215  2015/12/16 08:52:24  brouard
     Summary: 0.98r4 working
   
     Revision 1.214  2015/12/16 06:57:54  brouard
     Summary: temporary not working
   
     Revision 1.213  2015/12/11 18:22:17  brouard
     Summary: 0.98r4
   
     Revision 1.212  2015/11/21 12:47:24  brouard
     Summary: minor typo
   
     Revision 1.211  2015/11/21 12:41:11  brouard
     Summary: 0.98r3 with some graph of projected cross-sectional
   
     Author: Nicolas Brouard
   
     Revision 1.210  2015/11/18 17:41:20  brouard
     Summary: Start working on projected prevalences  Revision 1.209  2015/11/17 22:12:03  brouard
     Summary: Adding ftolpl parameter
     Author: N Brouard
   
     We had difficulties to get smoothed confidence intervals. It was due
     to the period prevalence which wasn't computed accurately. The inner
     parameter ftolpl is now an outer parameter of the .imach parameter
     file after estepm. If ftolpl is small 1.e-4 and estepm too,
     computation are long.
   
     Revision 1.208  2015/11/17 14:31:57  brouard
     Summary: temporary
   
     Revision 1.207  2015/10/27 17:36:57  brouard
     *** empty log message ***
   
     Revision 1.206  2015/10/24 07:14:11  brouard
     *** empty log message ***
   
     Revision 1.205  2015/10/23 15:50:53  brouard
     Summary: 0.98r3 some clarification for graphs on likelihood contributions
   
     Revision 1.204  2015/10/01 16:20:26  brouard
     Summary: Some new graphs of contribution to likelihood
   
     Revision 1.203  2015/09/30 17:45:14  brouard
     Summary: looking at better estimation of the hessian
   
     Also a better criteria for convergence to the period prevalence And
     therefore adding the number of years needed to converge. (The
     prevalence in any alive state shold sum to one
   
     Revision 1.202  2015/09/22 19:45:16  brouard
     Summary: Adding some overall graph on contribution to likelihood. Might change
   
     Revision 1.201  2015/09/15 17:34:58  brouard
     Summary: 0.98r0
   
     - Some new graphs like suvival functions
     - Some bugs fixed like model=1+age+V2.
   
     Revision 1.200  2015/09/09 16:53:55  brouard
     Summary: Big bug thanks to Flavia
   
     Even model=1+age+V2. did not work anymore
   
     Revision 1.199  2015/09/07 14:09:23  brouard
     Summary: 0.98q6 changing default small png format for graph to vectorized svg.
   
     Revision 1.198  2015/09/03 07:14:39  brouard
     Summary: 0.98q5 Flavia
   
     Revision 1.197  2015/09/01 18:24:39  brouard
     *** empty log message ***
   
     Revision 1.196  2015/08/18 23:17:52  brouard
     Summary: 0.98q5
   
     Revision 1.195  2015/08/18 16:28:39  brouard
     Summary: Adding a hack for testing purpose
   
     After reading the title, ftol and model lines, if the comment line has
     a q, starting with #q, the answer at the end of the run is quit. It
     permits to run test files in batch with ctest. The former workaround was
     $ echo q | imach foo.imach
   
     Revision 1.194  2015/08/18 13:32:00  brouard
     Summary:  Adding error when the covariance matrix doesn't contain the exact number of lines required by the model line.
   
     Revision 1.193  2015/08/04 07:17:42  brouard
     Summary: 0.98q4
   
     Revision 1.192  2015/07/16 16:49:02  brouard
     Summary: Fixing some outputs
   
     Revision 1.191  2015/07/14 10:00:33  brouard
     Summary: Some fixes
   
     Revision 1.190  2015/05/05 08:51:13  brouard
     Summary: Adding digits in output parameters (7 digits instead of 6)
   
     Fix 1+age+.
   
     Revision 1.189  2015/04/30 14:45:16  brouard
     Summary: 0.98q2
   
     Revision 1.188  2015/04/30 08:27:53  brouard
     *** empty log message ***
   
     Revision 1.187  2015/04/29 09:11:15  brouard
     *** empty log message ***
   
     Revision 1.186  2015/04/23 12:01:52  brouard
     Summary: V1*age is working now, version 0.98q1
   
     Some codes had been disabled in order to simplify and Vn*age was
     working in the optimization phase, ie, giving correct MLE parameters,
     but, as usual, outputs were not correct and program core dumped.
   
     Revision 1.185  2015/03/11 13:26:42  brouard
     Summary: Inclusion of compile and links command line for Intel Compiler
   
     Revision 1.184  2015/03/11 11:52:39  brouard
     Summary: Back from Windows 8. Intel Compiler
   
     Revision 1.183  2015/03/10 20:34:32  brouard
     Summary: 0.98q0, trying with directest, mnbrak fixed
   
     We use directest instead of original Powell test; probably no
     incidence on the results, but better justifications;
     We fixed Numerical Recipes mnbrak routine which was wrong and gave
     wrong results.
   
     Revision 1.182  2015/02/12 08:19:57  brouard
     Summary: Trying to keep directest which seems simpler and more general
     Author: Nicolas Brouard
   
     Revision 1.181  2015/02/11 23:22:24  brouard
     Summary: Comments on Powell added
   
     Author:
   
     Revision 1.180  2015/02/11 17:33:45  brouard
     Summary: Finishing move from main to function (hpijx and prevalence_limit)
   
     Revision 1.179  2015/01/04 09:57:06  brouard
     Summary: back to OS/X
   
     Revision 1.178  2015/01/04 09:35:48  brouard
     *** empty log message ***
   
     Revision 1.177  2015/01/03 18:40:56  brouard
     Summary: Still testing ilc32 on OSX
   
     Revision 1.176  2015/01/03 16:45:04  brouard
     *** empty log message ***
   
     Revision 1.175  2015/01/03 16:33:42  brouard
     *** empty log message ***
   
     Revision 1.174  2015/01/03 16:15:49  brouard
     Summary: Still in cross-compilation
   
     Revision 1.173  2015/01/03 12:06:26  brouard
     Summary: trying to detect cross-compilation
   
     Revision 1.172  2014/12/27 12:07:47  brouard
     Summary: Back from Visual Studio and Intel, options for compiling for Windows XP
   
     Revision 1.171  2014/12/23 13:26:59  brouard
     Summary: Back from Visual C
   
     Still problem with utsname.h on Windows
   
     Revision 1.170  2014/12/23 11:17:12  brouard
     Summary: Cleaning some \%% back to %%
   
     The escape was mandatory for a specific compiler (which one?), but too many warnings.
   
     Revision 1.169  2014/12/22 23:08:31  brouard
     Summary: 0.98p
   
     Outputs some informations on compiler used, OS etc. Testing on different platforms.
   
     Revision 1.168  2014/12/22 15:17:42  brouard
     Summary: update
   
     Revision 1.167  2014/12/22 13:50:56  brouard
     Summary: Testing uname and compiler version and if compiled 32 or 64
   
     Testing on Linux 64
   
     Revision 1.166  2014/12/22 11:40:47  brouard
     *** empty log message ***
   
     Revision 1.165  2014/12/16 11:20:36  brouard
     Summary: After compiling on Visual C
   
     * imach.c (Module): Merging 1.61 to 1.162
   
     Revision 1.164  2014/12/16 10:52:11  brouard
     Summary: Merging with Visual C after suppressing some warnings for unused variables. Also fixing Saito's bug 0.98Xn
   
     * imach.c (Module): Merging 1.61 to 1.162
   
     Revision 1.163  2014/12/16 10:30:11  brouard
     * imach.c (Module): Merging 1.61 to 1.162
   
     Revision 1.162  2014/09/25 11:43:39  brouard
     Summary: temporary backup 0.99!
   
     Revision 1.1  2014/09/16 11:06:58  brouard
     Summary: With some code (wrong) for nlopt
   
     Author:
   
     Revision 1.161  2014/09/15 20:41:41  brouard
     Summary: Problem with macro SQR on Intel compiler
   
     Revision 1.160  2014/09/02 09:24:05  brouard
     *** empty log message ***
   
     Revision 1.159  2014/09/01 10:34:10  brouard
     Summary: WIN32
     Author: Brouard
   
     Revision 1.158  2014/08/27 17:11:51  brouard
     *** empty log message ***
   
     Revision 1.157  2014/08/27 16:26:55  brouard
     Summary: Preparing windows Visual studio version
     Author: Brouard
   
     In order to compile on Visual studio, time.h is now correct and time_t
     and tm struct should be used. difftime should be used but sometimes I
     just make the differences in raw time format (time(&now).
     Trying to suppress #ifdef LINUX
     Add xdg-open for __linux in order to open default browser.
   
     Revision 1.156  2014/08/25 20:10:10  brouard
     *** empty log message ***
   
     Revision 1.155  2014/08/25 18:32:34  brouard
     Summary: New compile, minor changes
     Author: Brouard
   
     Revision 1.154  2014/06/20 17:32:08  brouard
     Summary: Outputs now all graphs of convergence to period prevalence
   
     Revision 1.153  2014/06/20 16:45:46  brouard
     Summary: If 3 live state, convergence to period prevalence on same graph
     Author: Brouard
   
     Revision 1.152  2014/06/18 17:54:09  brouard
     Summary: open browser, use gnuplot on same dir than imach if not found in the path
   
     Revision 1.151  2014/06/18 16:43:30  brouard
     *** empty log message ***
   
     Revision 1.150  2014/06/18 16:42:35  brouard
     Summary: If gnuplot is not in the path try on same directory than imach binary (OSX)
     Author: brouard
   
     Revision 1.149  2014/06/18 15:51:14  brouard
     Summary: Some fixes in parameter files errors
     Author: Nicolas Brouard
   
     Revision 1.148  2014/06/17 17:38:48  brouard
     Summary: Nothing new
     Author: Brouard
   
     Just a new packaging for OS/X version 0.98nS
   
     Revision 1.147  2014/06/16 10:33:11  brouard
     *** empty log message ***
   
   Revision 1.146  2014/06/16 10:20:28  brouard    Revision 1.146  2014/06/16 10:20:28  brouard
   Summary: Merge    Summary: Merge
   Author: Brouard    Author: Brouard
Line 233 Line 1048
   
   The same imach parameter file can be used but the option for mle should be -3.    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.    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    The output is very simple: only an estimate of the intercept and of
Line 328 Line 1143
   
   Short summary of the programme:    Short summary of the programme:
       
   This program computes Healthy Life Expectancies from    This program computes Healthy Life Expectancies or State-specific
   cross-longitudinal data. Cross-longitudinal data consist in: -1- a    (if states aren't health statuses) Expectancies from
   first survey ("cross") where individuals from different ages are    cross-longitudinal data. Cross-longitudinal data consist in: 
   interviewed on their health status or degree of disability (in the  
   case of a health survey which is our main interest) -2- at least a    -1- a first survey ("cross") where individuals from different ages
   second wave of interviews ("longitudinal") which measure each change    are interviewed on their health status or degree of disability (in
   (if any) in individual health status.  Health expectancies are    the case of a health survey which is our main interest)
   computed from the time spent in each health state according to a  
   model. More health states you consider, more time is necessary to reach the    -2- at least a second wave of interviews ("longitudinal") which
   Maximum Likelihood of the parameters involved in the model.  The    measure each change (if any) in individual health status.  Health
   simplest model is the multinomial logistic model where pij is the    expectancies are computed from the time spent in each health state
   probability to be observed in state j at the second wave    according to a model. More health states you consider, more time is
   conditional to be observed in state i at the first wave. Therefore    necessary to reach the Maximum Likelihood of the parameters involved
   the model is: log(pij/pii)= aij + bij*age+ cij*sex + etc , where    in the model.  The simplest model is the multinomial logistic model
   'age' is age and 'sex' is a covariate. If you want to have a more    where pij is the probability to be observed in state j at the second
   complex model than "constant and age", you should modify the program    wave conditional to be observed in state i at the first
   where the markup *Covariates have to be included here again* invites    wave. Therefore the model is: log(pij/pii)= aij + bij*age+ cij*sex +
   you to do it.  More covariates you add, slower the    etc , where 'age' is age and 'sex' is a covariate. If you want to
     have a more complex model than "constant and age", you should modify
     the program where the markup *Covariates have to be included here
     again* invites you to do it.  More covariates you add, slower the
   convergence.    convergence.
   
   The advantage of this computer programme, compared to a simple    The advantage of this computer programme, compared to a simple
Line 364 Line 1182
   hPijx.    hPijx.
   
   Also this programme outputs the covariance matrix of the parameters but also    Also this programme outputs the covariance matrix of the parameters but also
   of the life expectancies. It also computes the period (stable) prevalence.     of the life expectancies. It also computes the period (stable) prevalence.
   
   Back prevalence and projections:
   
    - 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)
   
       Computes the back prevalence limit for any combination of
       covariate values k at any age between ageminpar and agemaxpar and
       returns it in **bprlim. In the loops,
   
      - **bprevalim(**bprlim, ***mobaverage, nlstate, *p, age, **oldm,
          **savm, **dnewm, **doldm, **dsavm, ftolpl, ncvyearp, k);
   
      - hBijx Back Probability to be in state i at age x-h being in j at x
      Computes for any combination of covariates k and any age between bage and fage 
      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, 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
        nhstepm*hstepm matrices. 
   
        Returns p3mat[i][j][h] after calling
        p3mat[i][j][h]=matprod2(newm,
        bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent, dnewm, doldm,
        dsavm,ij),\ 1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath,
        oldm);
   
   Important routines
   
   - func (or funcone), computes logit (pij) distinguishing
     o fixed variables (single or product dummies or quantitative);
     o varying variables by:
      (1) wave (single, product dummies, quantitative), 
      (2) by age (can be month) age (done), age*age (done), age*Vn where Vn can be:
          % fixed dummy (treated) or quantitative (not done because time-consuming);
          % varying dummy (not done) or quantitative (not done);
   - 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
       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    This software have been partly granted by Euro-REVES, a concerted action
   from the European Union.    from the European Union.
   It is copyrighted identically to a GNU software product, ie programme and    It is copyrighted identically to a GNU software product, ie programme and
Line 421 Line 1287
  end   end
 */  */
   
   /* #define DEBUG */
   /* #define DEBUGBRENT */
   /* #define DEBUGLINMIN */
   /* #define DEBUGHESS */
   #define DEBUGHESSIJ
   /* #define LINMINORIGINAL  /\* Don't use loop on scale in linmin (accepting nan) *\/ */
   #define POWELL /* Instead of NLOPT */
   #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 */
   #define POWELLORIGINCONJUGATE  /* Don't use conjugate but biggest decrease if valuable */
   
   
    
 #include <math.h>  #include <math.h>
 #include <stdio.h>  #include <stdio.h>
 #include <stdlib.h>  #include <stdlib.h>
 #include <string.h>  #include <string.h>
   #include <ctype.h>
   
   #ifdef _WIN32
   #include <io.h>
   #include <windows.h>
   #include <tchar.h>
   #else
 #include <unistd.h>  #include <unistd.h>
   #endif
   
 #include <limits.h>  #include <limits.h>
 #include <sys/types.h>  #include <sys/types.h>
   
   #if defined(__GNUC__)
   #include <sys/utsname.h> /* Doesn't work on Windows */
   #endif
   
 #include <sys/stat.h>  #include <sys/stat.h>
 #include <errno.h>  #include <errno.h>
 extern int errno;  /* extern int errno; */
   
   /* #ifdef LINUX */
   /* #include <time.h> */
   /* #include "timeval.h" */
   /* #else */
   /* #include <sys/time.h> */
   /* #endif */
   
 #ifdef LINUX  
 #include <time.h>  #include <time.h>
 #include "timeval.h"  
 #else  
 #include <sys/time.h>  
 #endif  
   
 #ifdef GSL  #ifdef GSL
 #include <gsl/gsl_errno.h>  #include <gsl/gsl_errno.h>
 #include <gsl/gsl_multimin.h>  #include <gsl/gsl_multimin.h>
 #endif  #endif
   
   
   #ifdef NLOPT
   #include <nlopt.h>
   typedef struct {
     double (* function)(double [] );
   } myfunc_data ;
   #endif
   
 /* #include <libintl.h> */  /* #include <libintl.h> */
 /* #define _(String) gettext (String) */  /* #define _(String) gettext (String) */
   
 #define MAXLINE 1024 /* Was 256. Overflow with 312 with 2 states and 4 covariates. Should be ok */  #define MAXLINE 16384 /* Was 256 and 1024 and 2048. Overflow with 312 with 2 states and 4 covariates. Should be ok */
   
 #define GNUPLOTPROGRAM "gnuplot"  #define GNUPLOTPROGRAM "gnuplot"
   #define GNUPLOTVERSION 5.1
   double gnuplotversion=GNUPLOTVERSION;
 /*#define GNUPLOTPROGRAM "..\\gp37mgw\\wgnuplot"*/  /*#define GNUPLOTPROGRAM "..\\gp37mgw\\wgnuplot"*/
 #define FILENAMELENGTH 132  #define FILENAMELENGTH 256
   
 #define GLOCK_ERROR_NOPATH              -1      /* empty path */  #define GLOCK_ERROR_NOPATH              -1      /* empty path */
 #define GLOCK_ERROR_GETCWD              -2      /* cannot get cwd */  #define GLOCK_ERROR_GETCWD              -2      /* cannot get cwd */
   
 #define MAXPARM 128 /**< Maximum number of parameters for the optimization */  #define MAXPARM 216 /**< Maximum number of parameters for the optimization was 128 */
 #define NPARMAX 64 /**< (nlstate+ndeath-1)*nlstate*ncovmodel */  #define NPARMAX 64 /**< (nlstate+ndeath-1)*nlstate*ncovmodel */
   
 #define NINTERVMAX 8  #define NINTERVMAX 8
 #define NLSTATEMAX 8 /**< Maximum number of live states (for func) */  #define NLSTATEMAX 8 /**< Maximum number of live states (for func) */
 #define NDEATHMAX 8 /**< Maximum number of dead states (for func) */  #define NDEATHMAX 8 /**< Maximum number of dead states (for func) */
 #define NCOVMAX 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) ;  #define codtabm(h,k)  (1 & (h-1) >> (k-1))+1
 #define MAXN 20000  /*#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 */ /* Should by replaced by nobs, real number of observations and unlimited */
 #define YEARM 12. /**< Number of months per year */  #define YEARM 12. /**< Number of months per year */
 #define AGESUP 130  /* #define AGESUP 130 */
   /* #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 AGEBASE 40
 #define AGEGOMP 10. /**< Minimal age for Gompertz adjustment */  #define AGEOVERFLOW 1.e20
 #ifdef UNIX  #define AGEGOMP 10 /**< Minimal age for Gompertz adjustment */
 #define DIRSEPARATOR '/'  #ifdef _WIN32
 #define CHARSEPARATOR "/"  
 #define ODIRSEPARATOR '\\'  
 #else  
 #define DIRSEPARATOR '\\'  #define DIRSEPARATOR '\\'
 #define CHARSEPARATOR "\\"  #define CHARSEPARATOR "\\"
 #define ODIRSEPARATOR '/'  #define ODIRSEPARATOR '/'
   #else
   #define DIRSEPARATOR '/'
   #define CHARSEPARATOR "/"
   #define ODIRSEPARATOR '\\'
 #endif  #endif
   
 <<<<<<< imach.c  
 /* $Id$ */  /* $Id$ */
 =======  
 /* $Id$ */  
 >>>>>>> 1.145  
 /* $State$ */  /* $State$ */
   #include "version.h"
 <<<<<<< imach.c  char version[]=__IMACH_VERSION__;
 char version[]="Imach version 0.98nR2, January 2014,INED-EUROREVES-Institut de longevite-Japan Society for the Promotion of Science (Grant-in-Aid for Scientific Research 25293121)";  char copyright[]="Testing conjugate April 2023,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 version[]="Imach version 0.98nR2, January 2014,INED-EUROREVES-Institut de longevite-Japan Society for the Promotion of Science (Grant-in-Aid for Scientific Research 25293121)";  
 char fullversion[]="$Revision$ $Date$";   char fullversion[]="$Revision$ $Date$"; 
 >>>>>>> 1.145  
 char strstart[80];  char strstart[80];
 char optionfilext[10], optionfilefiname[FILENAMELENGTH];  char optionfilext[10], optionfilefiname[FILENAMELENGTH];
 int erreur=0, nberr=0, nbwarn=0; /* Error number, number of errors number of warnings  */  int erreur=0, nberr=0, nbwarn=0; /* Error number, number of errors number of warnings  */
 int nvar=0, nforce=0; /* Number of variables, number of forces */  int debugILK=0; /* debugILK is set by a #d in a comment line */
 /* Number of covariates model=V2+V1+ V3*age+V2*V4 */  int nagesqr=0, nforce=0; /* nagesqr=1 if model is including age*age, number of forces */
 int cptcovn=0; /**< cptcovn number of covariates added in the model (excepting constant and age and age*product) */  /* Number of covariates model (1)=V2+V1+ V3*age+V2*V4 */
 int cptcovt=0; /**< cptcovt number of covariates added in the model (excepting constant and age) */  /* Model(2)  V1 + V2 + V3 + V8 + V7*V8 + V5*V6 + V8*age + V3*age + age*age */
 int cptcovs=0; /**< cptcovs number of simple covariates V2+V1 =2 */  int cptcovn=0; /**< cptcovn decodemodel: number of covariates k of the models excluding age*products =6 and age*age but including products */
   int cptcovt=0; /**< cptcovt: total number of covariates of the model (2) nbocc(+)+1 = 8 excepting constant and age and age*age */
   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 cptcovage=0; /**< Number of covariates with age: V3*age only =1 */
   int cptcovprodage=0; /**< Number of fixed covariates with age: V3*age or V2*V3*age 1 */
   int cptcovprodvage=0; /**< Number of varying covariates with age: V7*age or V7*V6*age */
   int cptcovdageprod=0; /**< Number of doubleproducts with age, since 0.99r44 only: age*Vn*Vm for gnuplot printing*/
 int cptcovprodnoage=0; /**< Number of covariate products without age */     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 ncovvt=0; /* Total number of effective (wave) varying covariates (dummy or quantitative or products [without age]) in the model */
   int ncovvta=0; /*  +age*V6 + age*V7+ age*V6*V3 +age*V7*V3 + age*V6*V4 +age*V7*V4 Total number of expandend products [with age]) in the model */
   int ncovta=0; /*age*V3*V2 +age*V2+agev3+ageV4  +age*V6 + age*V7+ age*V6*V3 +age*V7*V3 + age*V6*V4 +age*V7*V4 Total number of expandend products [with age]) in the model */
   int ncova=0; /* Total number of effective (wave and stepm) varying with age covariates (single or product, dummy or quantitative) in the model */
   int ncovva=0; /* +age*V6 + age*V7+ge*V6*V3 +age*V7*V3 + age*V6*V4 +age*V7*V4 Total number of effective (wave and stepm) varying with age covariates (single or product, dummy or quantitative) in the model */
   int nsd=0; /**< Total number of single dummy variables (output) */
   int nsq=0; /**< Total number of single quantitative variables (output) */
   int ncoveff=0; /* Total number of effective fixed dummy covariates in the model */
   int nqfveff=0; /**< nqfveff Number of Quantitative Fixed Variables Effective */
   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 cptcov=0; /* Working variable */
 int npar=NPARMAX;  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; /* Number of parameters (nlstate+ndeath-1)*nlstate*ncovmodel; */
 int nlstate=2; /* Number of live states */  int nlstate=2; /* Number of live states */
 int ndeath=1; /* Number of dead 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 */  int ncovmodel=0, ncovcol=0;     /* Total number of covariables including constant a12*1 +b12*x ncovmodel=2 */
   int nqv=0, ntv=0, nqtv=0;    /* Total number of quantitative variables, time variable (dummy), quantitative and time variable*/
   int ncovcolt=0; /* ncovcolt=ncovcol+nqv+ntv+nqtv; total of covariates in the data, not in the model equation*/ 
 int popbased=0;  int popbased=0;
   
 int *wav; /* Number of waves for this individuual 0 is possible */  int *wav; /* Number of waves for this individuual 0 is possible */
Line 526  int **mw; /* mw[mi][i] is number of the Line 1450  int **mw; /* mw[mi][i] is number of the
 int **dh; /* dh[mi][i] is number of steps between mi,mi+1 for this individual */  int **dh; /* dh[mi][i] is number of steps between mi,mi+1 for this individual */
 int **bh; /* bh[mi][i] is the bias (+ or -) for this individual if the delay between  int **bh; /* bh[mi][i] is the bias (+ or -) for this individual if the delay between
            * wave mi and wave mi+1 is not an exact multiple of stepm. */             * wave mi and wave mi+1 is not an exact multiple of stepm. */
   int countcallfunc=0;  /* Count the number of calls to func */
   int selected(int kvar); /* Is covariate kvar selected for printing results */
   
 double jmean=1; /* Mean space between 2 waves */  double jmean=1; /* Mean space between 2 waves */
 double **matprod2(); /* test */  double **matprod2(); /* test */
 double **oldm, **newm, **savm; /* Working pointers to matrices */  double **oldm, **newm, **savm; /* Working pointers to matrices */
 double **oldms, **newms, **savms; /* Fixed working pointers to matrices */  double **oldms, **newms, **savms; /* Fixed working pointers to matrices */
   double   **ddnewms, **ddoldms, **ddsavms; /* for freeing later */
   
 /*FILE *fic ; */ /* Used in readdata only */  /*FILE *fic ; */ /* Used in readdata only */
 FILE *ficpar, *ficparo,*ficres, *ficresp, *ficrespl, *ficrespij, *ficrest,*ficresf,*ficrespop;  FILE *ficpar, *ficparo,*ficres, *ficresp, *ficresphtm, *ficresphtmfr, *ficrespl, *ficresplb,*ficrespij, *ficrespijb, *ficrest,*ficresf, *ficresfb,*ficrespop;
 FILE *ficlog, *ficrespow;  FILE *ficlog, *ficrespow;
 int globpr=0; /* Global variable for printing or not */  int globpr=0; /* Global variable for printing or not */
 double fretone; /* Only one call to likelihood */  double fretone; /* Only one call to likelihood */
Line 551  FILE *ficrescveij; Line 1480  FILE *ficrescveij;
 char filerescve[FILENAMELENGTH];  char filerescve[FILENAMELENGTH];
 FILE  *ficresvij;  FILE  *ficresvij;
 char fileresv[FILENAMELENGTH];  char fileresv[FILENAMELENGTH];
 FILE  *ficresvpl;  
 char fileresvpl[FILENAMELENGTH];  
 char title[MAXLINE];  char title[MAXLINE];
 char optionfile[FILENAMELENGTH], datafile[FILENAMELENGTH],  filerespl[FILENAMELENGTH];  char model[MAXLINE]; /**< The model line */
   char optionfile[FILENAMELENGTH], datafile[FILENAMELENGTH],  filerespl[FILENAMELENGTH],  fileresplb[FILENAMELENGTH];
 char plotcmd[FILENAMELENGTH], pplotcmd[FILENAMELENGTH];  char plotcmd[FILENAMELENGTH], pplotcmd[FILENAMELENGTH];
 char tmpout[FILENAMELENGTH],  tmpout2[FILENAMELENGTH];   char tmpout[FILENAMELENGTH],  tmpout2[FILENAMELENGTH]; 
 char command[FILENAMELENGTH];  char command[FILENAMELENGTH];
 int  outcmd=0;  int  outcmd=0;
   
 char fileres[FILENAMELENGTH], filerespij[FILENAMELENGTH], filereso[FILENAMELENGTH], rfileres[FILENAMELENGTH];  char fileres[FILENAMELENGTH], filerespij[FILENAMELENGTH], filerespijb[FILENAMELENGTH], filereso[FILENAMELENGTH], rfileres[FILENAMELENGTH];
   char fileresu[FILENAMELENGTH]; /* fileres without r in front */
 char filelog[FILENAMELENGTH]; /* Log file */  char filelog[FILENAMELENGTH]; /* Log file */
 char filerest[FILENAMELENGTH];  char filerest[FILENAMELENGTH];
 char fileregp[FILENAMELENGTH];  char fileregp[FILENAMELENGTH];
Line 569  char popfile[FILENAMELENGTH]; Line 1498  char popfile[FILENAMELENGTH];
   
 char optionfilegnuplot[FILENAMELENGTH], optionfilehtm[FILENAMELENGTH], optionfilehtmcov[FILENAMELENGTH] ;  char optionfilegnuplot[FILENAMELENGTH], optionfilehtm[FILENAMELENGTH], optionfilehtmcov[FILENAMELENGTH] ;
   
 struct timeval start_time, end_time, curr_time, last_time, forecast_time;  /* struct timeval start_time, end_time, curr_time, last_time, forecast_time; */
 struct timezone tzp;  /* struct timezone tzp; */
 extern int gettimeofday();  /* extern int gettimeofday(); */
 struct tm tmg, tm, tmf, *gmtime(), *localtime();  struct tm tml, *gmtime(), *localtime();
 long time_value;  
 extern long time();  extern time_t time();
   
   struct tm start_time, end_time, curr_time, last_time, forecast_time;
   time_t  rstart_time, rend_time, rcurr_time, rlast_time, rforecast_time; /* raw time */
   time_t   rlast_btime; /* raw time */
   struct tm tm;
   
 char strcurr[80], strfor[80];  char strcurr[80], strfor[80];
   
 char *endptr;  char *endptr;
Line 586  double dval; Line 1521  double dval;
 #define FTOL 1.0e-10  #define FTOL 1.0e-10
   
 #define NRANSI   #define NRANSI 
 #define ITMAX 200   #define ITMAX 200
   #define ITPOWMAX 20 /* This is now multiplied by the number of parameters */ 
   
 #define TOL 2.0e-4   #define TOL 2.0e-4 
   
Line 604  static double maxarg1,maxarg2; Line 1540  static double maxarg1,maxarg2;
       
 #define SIGN(a,b) ((b)>0.0 ? fabs(a) : -fabs(a))  #define SIGN(a,b) ((b)>0.0 ? fabs(a) : -fabs(a))
 #define rint(a) floor(a+0.5)  #define rint(a) floor(a+0.5)
   /* http://www.thphys.uni-heidelberg.de/~robbers/cmbeasy/doc/html/myutils_8h-source.html */
   #define mytinydouble 1.0e-16
   /* #define DEQUAL(a,b) (fabs((a)-(b))<mytinydouble) */
   /* http://www.thphys.uni-heidelberg.de/~robbers/cmbeasy/doc/html/mynrutils_8h-source.html */
   /* static double dsqrarg; */
   /* #define DSQR(a) (DEQUAL((dsqrarg=(a)),0.0) ? 0.0 : dsqrarg*dsqrarg) */
 static double sqrarg;  static double sqrarg;
 #define SQR(a) ((sqrarg=(a)) == 0.0 ? 0.0 :sqrarg*sqrarg)  #define SQR(a) ((sqrarg=(a)) == 0.0 ? 0.0 :sqrarg*sqrarg)
 #define SWAP(a,b) {temp=(a);(a)=(b);(b)=temp;}   #define SWAP(a,b) {temp=(a);(a)=(b);(b)=temp;} 
Line 619  int estepm; Line 1560  int estepm;
   
 int m,nb;  int m,nb;
 long *num;  long *num;
 int firstpass=0, lastpass=4,*cod, *ncodemax, *Tage,*cens;  int firstpass=0, lastpass=4,*cod, *cens;
   int *ncodemax;  /* ncodemax[j]= Number of modalities of the j th
                      covariate for which somebody answered excluding 
                      undefined. Usually 2: 0 and 1. */
   int *ncodemaxwundef;  /* ncodemax[j]= Number of modalities of the j th
                                covariate for which somebody answered including 
                                undefined. Usually 3: -1, 0 and 1. */
 double **agev,*moisnais, *annais, *moisdc, *andc,**mint, **anint;  double **agev,*moisnais, *annais, *moisdc, *andc,**mint, **anint;
 double **pmmij, ***probs;  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 *ageexmed,*agecens;
 double dateintmean=0;  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;  double *weight;
 int **s; /* Status */  int **s; /* Status */
 double *agedc;  double *agedc;
 double  **covar; /**< covar[j,i], value of jth covariate for individual i,  double  **covar; /**< covar[j,i], value of jth covariate for individual i,
                   * covar=matrix(0,NCOVMAX,1,n);                     * covar=matrix(0,NCOVMAX,1,n); 
                   * cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2]; */                    * cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*age; */
   double **coqvar; /* Fixed quantitative covariate nqv */
   double ***cotvar; /* Time varying covariate start at ncovcol + nqv + (1 to ntv) */
   double ***cotqvar; /* Time varying quantitative covariate itqv */
 double  idx;   double  idx; 
 int **nbcode, *Tvar; /**< model=V2 => Tvar[1]= 2 */  int **nbcode, *Tvar; /**< model=V2 => Tvar[1]= 2 */
   /* Some documentation */
         /*   Design original data
          *  V1   V2   V3   V4  V5  V6  V7  V8  Weight ddb ddth d1st s1 V9 V10 V11 V12 s2 V9 V10 V11 V12 
          *  <          ncovcol=6   >   nqv=2 (V7 V8)                   dv dv  dv  qtv    dv dv  dvv qtv
          *                                                             ntv=3     nqtv=1
          *  cptcovn number of covariates (not including constant and age or age*age) = number of plus sign + 1 = 10+1=11
          * For time varying covariate, quanti or dummies
          *       cotqvar[wav][iv(1 to nqtv)][i]= [1][12][i]=(V12) quanti
          *       cotvar[wav][ncovcol+nqv+ iv(1 to nqtv)][i]= [(1 to nqtv)][i]=(V12) quanti
          *       cotvar[wav][iv(1 to ntv)][i]= [1][1][i]=(V9) dummies at wav 1
          *       cotvar[wav][iv(1 to ntv)][i]= [1][2][i]=(V10) dummies at wav 1
          *       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+V4*V3*age */
   /*    kmodel  1  2   3    4     5     6    7     8     9    10 */
   /*Typevar[k]=  0  0   0   2     1    0    2     1     0    3 *//*0 for simple covariate (dummy, quantitative,*/
                                                                  /* fixed or varying), 1 for age product, 2 for*/
                                                                  /* product without age, 3 for age and double product   */
   /*Dummy[k]=    1  0   0   1     3    1    1     2     0     3  *//*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     6 */
   /*    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[nsd]  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         3 */ /* Counting cov*age in the model equation */
   /* Tage[cptcovage]=k            5               8         10 */ /* Position in the model of ith cov*age */
   /* model="V2+V3+V4+V6+V7+V6*V2+V7*V2+V6*V3+V7*V3+V6*V4+V7*V4+age*V2+age*V3+age*V4+age*V6+age*V7+age*V6*V2+age*V6*V3+age*V7*V3+age*V6*V4+age*V7*V4\r"*/
   /*  p Tvard[1][1]@21 = {6, 2, 7, 2, 6, 3, 7, 3, 6, 4, 7, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0}*/
   /*  p Tvard[2][1]@21 = {7, 2, 6, 3, 7, 3, 6, 4, 7, 4, 0 <repeats 11 times>} */
   /* p Tvardk[1][1]@24 = {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 2, 7, 2, 6, 3, 7, 3, 6, 4, 7, 4, 0, 0}*/
   /* p Tvardk[1][1]@22 = {0, 0, 0, 0, 0, 0, 0, 0, 6, 2, 7, 2, 6, 3, 7, 3, 6, 4, 7, 4, 0, 0} */
   /* 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 MAXRESULTLINESPONE 10+1
   int nresult=0;
   int parameterline=0; /* # of the parameter (type) line */
   int TKresult[MAXRESULTLINESPONE]; /* TKresult[nres]=k for each resultline nres give the corresponding combination of dummies */
   int resultmodel[MAXRESULTLINESPONE][NCOVMAX];/* resultmodel[k1]=k3: k1th position in the model corresponds to the k3 position in the resultline */
   int modelresult[MAXRESULTLINESPONE][NCOVMAX];/* modelresult[k3]=k1: k1th position in the model corresponds to the k3 position in the resultline */
   int Tresult[MAXRESULTLINESPONE][NCOVMAX];/* Tresult[nres][result_position]= value of the dummy variable at the result_position in the nres resultline */
   int Tinvresult[MAXRESULTLINESPONE][NCOVMAX];/* Tinvresult[nres][Name of a dummy variable]= value of the variable in the result line  */
   double TinvDoQresult[MAXRESULTLINESPONE][NCOVMAX];/* TinvDoQresult[nres][Name of a Dummy or Q variable]= value of the variable in the result line */
   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 */
   int *TvarV; /**< TvarV[1]=Tvar[1]=5, TvarV[2]=Tvar[2]=4  in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
   int *TvarVind; /**< TvarVind[1]=1, TvarVind[2]=2  in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
   int *TvarA; /**< TvarA[1]=Tvar[5]=5, TvarA[2]=Tvar[8]=1  in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
   int *TvarAind; /**< TvarindA[1]=5, TvarAind[2]=8  in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
   int *TvarFD; /**< TvarFD[1]=V1 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
   int *TvarFDind; /* TvarFDind[1]=9 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
   int *TvarFQ; /* TvarFQ[1]=V2 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple fixed quantitative variable */
   int *TvarFQind; /* TvarFQind[1]=6 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple fixed quantitative variable */
   int *TvarVD; /* TvarVD[1]=V5 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple fixed quantitative variable */
   int *TvarVDind; /* TvarVDind[1]=1 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple fixed quantitative variable */
   int *TvarVQ; /* TvarVQ[1]=V5 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple time varying quantitative variable */
   int *TvarVQind; /* TvarVQind[1]=1 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple time varying quantitative variable */
   int *TvarVV; /* We count ncovvt time varying covariates (single or products without age) and put their name into TvarVV */
   int *TvarVVind; /* We count ncovvt time varying covariates (single or products without age) and put their name into TvarVV */
   int *TvarVVA; /* We count ncovvt time varying covariates (single or products with age) and put their name into TvarVVA */
   int *TvarVVAind; /* We count ncovvt time varying covariates (single or products without age) and put their name into TvarVV */
   int *TvarAVVA; /* We count ALL ncovta time varying covariates (single or products with age) and put their name into TvarVVA */
   int *TvarAVVAind; /* We count ALL ncovta time varying covariates (single or products without age) and put their name into TvarVV */
         /*#  ID           V1     V2          weight               birth   death   1st    s1      V3      V4      V5       2nd  s2 */
         /* model V1+V3+age*V1+age*V3+V1*V3 + V1*V3*age */
         /*  Tvar={1, 3, 1, 3, 6, 6}, the 6 comes from the fact that there are already V1, V2, V3, V4, V5 native covariates */
         /* TvarVV={3,1,3,1,3}, for V3 and then the product V1*V3 is decomposed into V1 and V3 */         
         /* TvarVVind={2,5,5,6,6}, for V3 and then the product V1*V3 is decomposed into V1 and V3 and V1*V3*age into 6,6 */               
   int *Tvarsel; /**< Selected covariates for output */
   double *Tvalsel; /**< Selected modality value of covariate for output */
   int *Typevar; /**< 0 for simple covariate (dummy, quantitative, fixed or varying), 1 for age product, 2 for  product, 3 age*Vn*Vm */
   int *Fixed; /** Fixed[k] 0=fixed, 1 varying, 2 fixed with age product, 3 varying with age product */ 
   int *Dummy; /** Dummy[k] 0=dummy (0 1), 1 quantitative (single or product without age), 2 dummy with age product, 3 quant with age product */ 
   int *DummyV; /** Dummy[v] 0=dummy (0 1), 1 quantitative */
   int *FixedV; /** FixedV[v] 0 fixed, 1 varying */
   int *Tage;
   int anyvaryingduminmodel=0; /**< Any varying dummy in Model=1 yes, 0 no, to avoid a loop on waves in freq */ 
   int *Tmodelind; /** Tmodelind[Tvaraff[3]]=9 for V1 position,Tvaraff[1]@9={4, 3, 1, 0, 0, 0, 0, 0, 0}, model=V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1*/
   int *TmodelInvind; /** Tmodelind[Tvaraff[3]]=9 for V1 position,Tvaraff[1]@9={4, 3, 1, 0, 0, 0, 0, 0, 0}, model=V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1*/ 
   int *TmodelInvQind; /** Tmodelqind[1]=1 for V5(quantitative varying) position,Tvaraff[1]@9={4, 3, 1, 0, 0, 0, 0, 0, 0}, model=V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1  */
 int *Ndum; /** Freq of modality (tricode */  int *Ndum; /** Freq of modality (tricode */
 int **codtab; /**< codtab=imatrix(1,100,1,10); */  /* int **codtab;*/ /**< codtab=imatrix(1,100,1,10); */
 int **Tvard, *Tprod, cptcovprod, *Tvaraff;  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 */
      /* if  V2+V1+V1*V4+age*V3+V3*V2   TProd[k1=2]=5 (V3*V2) */
      /* Tposprod[k]=k1 , Tposprod[3]=1, Tposprod[5(V3*V2)]=2 (2nd product without age) */
   int cptcovprod, *Tvaraff, *invalidvarcomb;
 double *lsurv, *lpop, *tpop;  double *lsurv, *lpop, *tpop;
   
   #define FD 1; /* Fixed dummy covariate */
   #define FQ 2; /* Fixed quantitative covariate */
   #define FP 3; /* Fixed product covariate */
   #define FPDD 7; /* Fixed product dummy*dummy covariate */
   #define FPDQ 8; /* Fixed product dummy*quantitative covariate */
   #define FPQQ 9; /* Fixed product quantitative*quantitative covariate */
   #define VD 10; /* Varying dummy covariate */
   #define VQ 11; /* Varying quantitative covariate */
   #define VP 12; /* Varying product covariate */
   #define VPDD 13; /* Varying product dummy*dummy covariate */
   #define VPDQ 14; /* Varying product dummy*quantitative covariate */
   #define VPQQ 15; /* Varying product quantitative*quantitative covariate */
   #define APFD 16; /* Age product * fixed dummy covariate */
   #define APFQ 17; /* Age product * fixed quantitative covariate */
   #define APVD 18; /* Age product * varying dummy covariate */
   #define APVQ 19; /* Age product * varying quantitative covariate */
   
   #define FTYPE 1; /* Fixed covariate */
   #define VTYPE 2; /* Varying covariate (loop in wave) */
   #define ATYPE 2; /* Age product covariate (loop in dh within wave)*/
   
   struct kmodel{
           int maintype; /* main type */
           int subtype; /* subtype */
   };
   struct kmodel modell[NCOVMAX];
   
 double ftol=FTOL; /**< Tolerance for computing Max Likelihood */  double ftol=FTOL; /**< Tolerance for computing Max Likelihood */
 double ftolhess; /**< Tolerance for computing hessian */  double ftolhess; /**< Tolerance for computing hessian */
   
Line 648  static int split( char *path, char *dirc Line 1756  static int split( char *path, char *dirc
      the name of the file (name), its extension only (ext) and its first part of the name (finame)       the name of the file (name), its extension only (ext) and its first part of the name (finame)
   */     */ 
   char  *ss;                            /* pointer */    char  *ss;                            /* pointer */
   int   l1, l2;                         /* length counters */    int   l1=0, l2=0;                             /* length counters */
   
   l1 = strlen(path );                   /* length of path */    l1 = strlen(path );                   /* length of path */
   if ( l1 == 0 ) return( GLOCK_ERROR_NOPATH );    if ( l1 == 0 ) return( GLOCK_ERROR_NOPATH );
Line 659  static int split( char *path, char *dirc Line 1767  static int split( char *path, char *dirc
       printf("Warning you should use %s as a separator\n",DIRSEPARATOR);*/        printf("Warning you should use %s as a separator\n",DIRSEPARATOR);*/
     /* get current working directory */      /* get current working directory */
     /*    extern  char* getcwd ( char *buf , int len);*/      /*    extern  char* getcwd ( char *buf , int len);*/
     if ( getcwd( dirc, FILENAME_MAX ) == NULL ) {  #ifdef WIN32
       if (_getcwd( dirc, FILENAME_MAX ) == NULL ) {
   #else
           if (getcwd(dirc, FILENAME_MAX) == NULL) {
   #endif
       return( GLOCK_ERROR_GETCWD );        return( GLOCK_ERROR_GETCWD );
     }      }
     /* got dirc from getcwd*/      /* got dirc from getcwd*/
     printf(" DIRC = %s \n",dirc);      printf(" DIRC = %s \n",dirc);
   } else {                              /* strip direcotry from path */    } else {                              /* strip directory from path */
     ss++;                               /* after this, the filename */      ss++;                               /* after this, the filename */
     l2 = strlen( ss );                  /* length of filename */      l2 = strlen( ss );                  /* length of filename */
     if ( l2 == 0 ) return( GLOCK_ERROR_NOPATH );      if ( l2 == 0 ) return( GLOCK_ERROR_NOPATH );
     strcpy( name, ss );         /* save file name */      strcpy( name, ss );         /* save file name */
     strncpy( dirc, path, l1 - l2 );     /* now the directory */      strncpy( dirc, path, l1 - l2 );     /* now the directory */
     dirc[l1-l2] = 0;                    /* add zero */      dirc[l1-l2] = '\0';                 /* add zero */
     printf(" DIRC2 = %s \n",dirc);      printf(" DIRC2 = %s \n",dirc);
   }    }
   /* We add a separator at the end of dirc if not exists */    /* We add a separator at the end of dirc if not exists */
Line 713  char *trimbb(char *out, char *in) Line 1825  char *trimbb(char *out, char *in)
   char *s;    char *s;
   s=out;    s=out;
   while (*in != '\0'){    while (*in != '\0'){
     while( *in == ' ' && *(in+1) == ' '){ /* && *(in+1) != '\0'){*/      while( *in == ' ' && *(in+1) == ' '){ /* && *(in+1) != '\0'){*/
         in++;
       }
       *out++ = *in++;
     }
     *out='\0';
     return s;
   }
   
   char *trimbtab(char *out, char *in)
   { /* Trim  blanks or tabs in line but keeps first blanks if line starts with blanks */
     char *s;
     s=out;
     while (*in != '\0'){
       while( (*in == ' ' || *in == '\t')){ /* && *(in+1) != '\0'){*/
       in++;        in++;
     }      }
     *out++ = *in++;      *out++ = *in++;
Line 722  char *trimbb(char *out, char *in) Line 1848  char *trimbb(char *out, char *in)
   return s;    return s;
 }  }
   
   /* char *substrchaine(char *out, char *in, char *chain) */
   /* { */
   /*   /\* Substract chain 'chain' from 'in', return and output 'out' *\/ */
   /*   char *s, *t; */
   /*   t=in;s=out; */
   /*   while ((*in != *chain) && (*in != '\0')){ */
   /*     *out++ = *in++; */
   /*   } */
   
   /*   /\* *in matches *chain *\/ */
   /*   while ((*in++ == *chain++) && (*in != '\0')){ */
   /*     printf("*in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
   /*   } */
   /*   in--; chain--; */
   /*   while ( (*in != '\0')){ */
   /*     printf("Bef *in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
   /*     *out++ = *in++; */
   /*     printf("Aft *in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
   /*   } */
   /*   *out='\0'; */
   /*   out=s; */
   /*   return out; */
   /* } */
   char *substrchaine(char *out, char *in, char *chain)
   {
     /* Substract chain 'chain' from 'in', return and output 'out' */
     /* in="V1+V1*age+age*age+V2", chain="+age*age" out="V1+V1*age+V2" */
   
     char *strloc;
   
     strcpy (out, in);                   /* out="V1+V1*age+age*age+V2" */
     strloc = strstr(out, chain); /* strloc points to out at "+age*age+V2"  */
     printf("Bef strloc=%s chain=%s out=%s \n", strloc, chain, out); /* strloc=+age*age+V2 chain="+age*age", out="V1+V1*age+age*age+V2" */
     if(strloc != NULL){ 
       /* will affect out */ /* strloc+strlen(chain)=|+V2 = "V1+V1*age+age*age|+V2" */ /* Will also work in Unicodek */
       memmove(strloc,strloc+strlen(chain), strlen(strloc+strlen(chain))+1); /* move number of bytes corresponding to the length of "+V2" which is 3, plus one is 4 (including the null)*/
       /* equivalent to strcpy (strloc, strloc +strlen(chain)) if no overlap; Copies from "+V2" to V1+V1*age+ */
     }
     printf("Aft strloc=%s chain=%s in=%s out=%s \n", strloc, chain, in, out);  /* strloc=+V2 chain="+age*age", in="V1+V1*age+age*age+V2", out="V1+V1*age+V2" */
     return out;
   }
   
   
 char *cutl(char *blocc, char *alocc, char *in, char occ)  char *cutl(char *blocc, char *alocc, char *in, char occ)
 {  {
   /* cuts string in into blocc and alocc where blocc ends before first occurence of char 'occ'     /* 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')       and alocc starts after first occurence of char 'occ' : ex cutl(blocc,alocc,"abcdef2ghi2j",'2')
      gives blocc="abcdef2ghi" and alocc="j".       gives alocc="abcdef" and blocc="ghi2j".
      If occ is not found blocc is null and alocc is equal to in. Returns blocc       If occ is not found blocc is null and alocc is equal to in. Returns blocc
   */    */
   char *s, *t, *bl;    char *s, *t;
   t=in;s=in;    t=in;s=in;
   while ((*in != occ) && (*in != '\0')){    while ((*in != occ) && (*in != '\0')){
     *alocc++ = *in++;      *alocc++ = *in++;
Line 752  char *cutl(char *blocc, char *alocc, cha Line 1921  char *cutl(char *blocc, char *alocc, cha
 }  }
 char *cutv(char *blocc, char *alocc, char *in, char occ)  char *cutv(char *blocc, char *alocc, char *in, char occ)
 {  {
   /* cuts string in into blocc and alocc where blocc ends before last occurence of char 'occ'     /* cuts string in into blocc and alocc where blocc ends before LAST occurence of char 'occ' 
      and alocc starts after last occurence of char 'occ' : ex cutv(blocc,alocc,"abcdef2ghi2j",'2')       and alocc starts after last occurence of char 'occ' : ex cutv(blocc,alocc,"abcdef2ghi2j",'2')
      gives blocc="abcdef2ghi" and alocc="j".       gives blocc="abcdef2ghi" and alocc="j".
      If occ is not found blocc is null and alocc is equal to in. Returns alocc       If occ is not found blocc is null and alocc is equal to in. Returns alocc
Line 786  int nbocc(char *s, char occ) Line 1955  int nbocc(char *s, char occ)
   i=0;    i=0;
   lg=strlen(s);    lg=strlen(s);
   for(i=0; i<= lg; i++) {    for(i=0; i<= lg; i++) {
   if  (s[i] == occ ) j++;      if  (s[i] == occ ) j++;
   }    }
   return j;    return j;
 }  }
   
   int nboccstr(char *textin, char *chain)
   {
     /* Counts the number of occurence of "chain"  in string textin */
     /*  in="+V7*V4+age*V2+age*V3+age*V4"  chain="age" */
     char *strloc;
     
     int i,j=0;
   
     i=0;
   
     strloc=textin; /* strloc points to "^+V7*V4+age+..." in textin */
     for(;;) {
       strloc= strstr(strloc,chain); /* strloc points to first character of chain in textin if found. Example strloc points^ to "+V7*V4+^age" in textin  */
       if(strloc != NULL){
         strloc = strloc+strlen(chain); /* strloc points to "+V7*V4+age^" in textin */
         j++;
       }else
         break;
     }
     return j;
     
   }
 /* void cutv(char *u,char *v, char*t, char occ) */  /* void cutv(char *u,char *v, char*t, char occ) */
 /* { */  /* { */
 /*   /\* cuts string t into u and v where u ends before last occurence of char 'occ'  */  /*   /\* cuts string t into u and v where u ends before last occurence of char 'occ'  */
Line 813  int nbocc(char *s, char occ) Line 2004  int nbocc(char *s, char occ)
 /*   } */  /*   } */
 /* } */  /* } */
   
   #ifdef _WIN32
   char * strsep(char **pp, const char *delim)
   {
     char *p, *q;
            
     if ((p = *pp) == NULL)
       return 0;
     if ((q = strpbrk (p, delim)) != NULL)
     {
       *pp = q + 1;
       *q = '\0';
     }
     else
       *pp = 0;
     return p;
   }
   #endif
   
 /********************** nrerror ********************/  /********************** nrerror ********************/
   
 void nrerror(char error_text[])  void nrerror(char error_text[])
Line 990  char *subdirf(char fileres[]) Line 2199  char *subdirf(char fileres[])
 /*************** function subdirf2 ***********/  /*************** function subdirf2 ***********/
 char *subdirf2(char fileres[], char *preop)  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 */    /* Caution optionfilefiname is hidden */
   strcpy(tmpout,optionfilefiname);    strcpy(tmpout,optionfilefiname);
   strcat(tmpout,"/");    strcat(tmpout,"/");
Line 1011  char *subdirf3(char fileres[], char *pre Line 2222  char *subdirf3(char fileres[], char *pre
   strcat(tmpout,fileres);    strcat(tmpout,fileres);
   return tmpout;    return tmpout;
 }  }
    
   /*************** function subdirfext ***********/
   char *subdirfext(char fileres[], char *preop, char *postop)
   {
     
     strcpy(tmpout,preop);
     strcat(tmpout,fileres);
     strcat(tmpout,postop);
     return tmpout;
   }
   
   /*************** function subdirfext3 ***********/
   char *subdirfext3(char fileres[], char *preop, char *postop)
   {
     
     /* Caution optionfilefiname is hidden */
     strcpy(tmpout,optionfilefiname);
     strcat(tmpout,"/");
     strcat(tmpout,preop);
     strcat(tmpout,fileres);
     strcat(tmpout,postop);
     return tmpout;
   }
    
   char *asc_diff_time(long time_sec, char ascdiff[])
   {
     long sec_left, days, hours, minutes;
     days = (time_sec) / (60*60*24);
     sec_left = (time_sec) % (60*60*24);
     hours = (sec_left) / (60*60) ;
     sec_left = (sec_left) %(60*60);
     minutes = (sec_left) /60;
     sec_left = (sec_left) % (60);
     sprintf(ascdiff,"%ld day(s) %ld hour(s) %ld minute(s) %ld second(s)",days, hours, minutes, sec_left);  
     return ascdiff;
   }
   
 /***************** f1dim *************************/  /***************** f1dim *************************/
 extern int ncom;   extern int ncom; 
Line 1032  double f1dim(double x) Line 2279  double f1dim(double x)
   
 /*****************brent *************************/  /*****************brent *************************/
 double brent(double ax, double bx, double cx, double (*f)(double), double tol,  double *xmin)   double brent(double ax, double bx, double cx, double (*f)(double), double tol,  double *xmin) 
 {   {
     /* Given a function f, and given a bracketing triplet of abscissas ax, bx, cx (such that bx is
      * between ax and cx, and f(bx) is less than both f(ax) and f(cx) ), this routine isolates
      * the minimum to a fractional precision of about tol using Brent’s method. The abscissa of
      * the minimum is returned as xmin, and the minimum function value is returned as brent , the
      * returned function value. 
     */
   int iter;     int iter; 
   double a,b,d,etemp;    double a,b,d,etemp;
   double fu,fv,fw,fx;    double fu=0,fv,fw,fx;
   double ftemp;    double ftemp=0.;
   double p,q,r,tol1,tol2,u,v,w,x,xm;     double p,q,r,tol1,tol2,u,v,w,x,xm; 
   double e=0.0;     double e=0.0; 
     
Line 1050  double brent(double ax, double bx, doubl Line 2303  double brent(double ax, double bx, doubl
     /*          if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret)))*/      /*          if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret)))*/
     printf(".");fflush(stdout);      printf(".");fflush(stdout);
     fprintf(ficlog,".");fflush(ficlog);      fprintf(ficlog,".");fflush(ficlog);
 #ifdef DEBUG  #ifdef DEBUGBRENT
     printf("br %d,x=%.10e xm=%.10e b=%.10e a=%.10e tol=%.10e tol1=%.10e tol2=%.10e x-xm=%.10e fx=%.12e fu=%.12e,fw=%.12e,ftemp=%.12e,ftol=%.12e\n",iter,x,xm,b,a,tol,tol1,tol2,(x-xm),fx,fu,fw,ftemp,ftol);      printf("br %d,x=%.10e xm=%.10e b=%.10e a=%.10e tol=%.10e tol1=%.10e tol2=%.10e x-xm=%.10e fx=%.12e fu=%.12e,fw=%.12e,ftemp=%.12e,ftol=%.12e\n",iter,x,xm,b,a,tol,tol1,tol2,(x-xm),fx,fu,fw,ftemp,ftol);
     fprintf(ficlog,"br %d,x=%.10e xm=%.10e b=%.10e a=%.10e tol=%.10e tol1=%.10e tol2=%.10e x-xm=%.10e fx=%.12e fu=%.12e,fw=%.12e,ftemp=%.12e,ftol=%.12e\n",iter,x,xm,b,a,tol,tol1,tol2,(x-xm),fx,fu,fw,ftemp,ftol);      fprintf(ficlog,"br %d,x=%.10e xm=%.10e b=%.10e a=%.10e tol=%.10e tol1=%.10e tol2=%.10e x-xm=%.10e fx=%.12e fu=%.12e,fw=%.12e,ftemp=%.12e,ftol=%.12e\n",iter,x,xm,b,a,tol,tol1,tol2,(x-xm),fx,fu,fw,ftemp,ftol);
     /*          if ((fabs(x-xm) <= (tol2-0.5*(b-a)))||(2.0*fabs(fu-ftemp) <= ftol*1.e-2*(fabs(fu)+fabs(ftemp)))) { */      /*          if ((fabs(x-xm) <= (tol2-0.5*(b-a)))||(2.0*fabs(fu-ftemp) <= ftol*1.e-2*(fabs(fu)+fabs(ftemp)))) { */
Line 1070  double brent(double ax, double bx, doubl Line 2323  double brent(double ax, double bx, doubl
       etemp=e;         etemp=e; 
       e=d;         e=d; 
       if (fabs(p) >= fabs(0.5*q*etemp) || p <= q*(a-x) || p >= q*(b-x))         if (fabs(p) >= fabs(0.5*q*etemp) || p <= q*(a-x) || p >= q*(b-x)) 
         d=CGOLD*(e=(x >= xm ? a-x : b-x));                                   d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
       else {         else { 
         d=p/q;                                   d=p/q; 
         u=x+d;                                   u=x+d; 
         if (u-a < tol2 || b-u < tol2)                                   if (u-a < tol2 || b-u < tol2) 
           d=SIGN(tol1,xm-x);                                           d=SIGN(tol1,xm-x); 
       }         } 
     } else {       } else { 
       d=CGOLD*(e=(x >= xm ? a-x : b-x));         d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
Line 1085  double brent(double ax, double bx, doubl Line 2338  double brent(double ax, double bx, doubl
     if (fu <= fx) {       if (fu <= fx) { 
       if (u >= x) a=x; else b=x;         if (u >= x) a=x; else b=x; 
       SHFT(v,w,x,u)         SHFT(v,w,x,u) 
         SHFT(fv,fw,fx,fu)         SHFT(fv,fw,fx,fu) 
         } else {       } else { 
           if (u < x) a=u; else b=u;         if (u < x) a=u; else b=u; 
           if (fu <= fw || w == x) {         if (fu <= fw || w == x) { 
             v=w;                                   v=w; 
             w=u;                                   w=u; 
             fv=fw;                                   fv=fw; 
             fw=fu;                                   fw=fu; 
           } else if (fu <= fv || v == x || v == w) {         } else if (fu <= fv || v == x || v == w) { 
             v=u;                                   v=u; 
             fv=fu;                                   fv=fu; 
           }         } 
         }       } 
   }     } 
   nrerror("Too many iterations in brent");     nrerror("Too many iterations in brent"); 
   *xmin=x;     *xmin=x; 
Line 1108  double brent(double ax, double bx, doubl Line 2361  double brent(double ax, double bx, doubl
   
 void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, double *fc,   void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, double *fc, 
             double (*func)(double))               double (*func)(double)) 
 {   { /* Given a function func , and given distinct initial points ax and bx , this routine searches in
   the downhill direction (defined by the function as evaluated at the initial points) and returns
   new points ax , bx , cx that bracket a minimum of the function. Also returned are the function
   values at the three points, fa, fb , and fc such that fa > fb and fb < fc.
      */
   double ulim,u,r,q, dum;    double ulim,u,r,q, dum;
   double fu;     double fu; 
    
   *fa=(*func)(*ax);     double scale=10.;
   *fb=(*func)(*bx);     int iterscale=0;
   
     *fa=(*func)(*ax); /*  xta[j]=pcom[j]+(*ax)*xicom[j]; fa=f(xta[j])*/
     *fb=(*func)(*bx); /*  xtb[j]=pcom[j]+(*bx)*xicom[j]; fb=f(xtb[j]) */
   
   
     /* while(*fb != *fb){ /\* *ax should be ok, reducing distance to *ax *\/ */
     /*   printf("Warning mnbrak *fb = %lf, *bx=%lf *ax=%lf *fa==%lf iter=%d\n",*fb, *bx, *ax, *fa, iterscale++); */
     /*   *bx = *ax - (*ax - *bx)/scale; */
     /*   *fb=(*func)(*bx);  /\*  xtb[j]=pcom[j]+(*bx)*xicom[j]; fb=f(xtb[j]) *\/ */
     /* } */
   
   if (*fb > *fa) {     if (*fb > *fa) { 
     SHFT(dum,*ax,*bx,dum)       SHFT(dum,*ax,*bx,dum) 
       SHFT(dum,*fb,*fa,dum)       SHFT(dum,*fb,*fa,dum) 
       }     } 
   *cx=(*bx)+GOLD*(*bx-*ax);     *cx=(*bx)+GOLD*(*bx-*ax); 
   *fc=(*func)(*cx);     *fc=(*func)(*cx); 
   while (*fb > *fc) {   #ifdef DEBUG
     printf("mnbrak0 a=%lf *fa=%lf, b=%lf *fb=%lf, c=%lf *fc=%lf\n",*ax,*fa,*bx,*fb,*cx, *fc);
     fprintf(ficlog,"mnbrak0 a=%lf *fa=%lf, b=%lf *fb=%lf, c=%lf *fc=%lf\n",*ax,*fa,*bx,*fb,*cx, *fc);
   #endif
     while (*fb > *fc) { /* Declining a,b,c with fa> fb > fc. If fc=inf it exits and if flat fb=fc it exits too.*/
     r=(*bx-*ax)*(*fb-*fc);       r=(*bx-*ax)*(*fb-*fc); 
     q=(*bx-*cx)*(*fb-*fa);       q=(*bx-*cx)*(*fb-*fa); /* What if fa=inf */
     u=(*bx)-((*bx-*cx)*q-(*bx-*ax)*r)/       u=(*bx)-((*bx-*cx)*q-(*bx-*ax)*r)/ 
       (2.0*SIGN(FMAX(fabs(q-r),TINY),q-r));         (2.0*SIGN(FMAX(fabs(q-r),TINY),q-r)); /* Minimum abscissa of a parabolic estimated from (a,fa), (b,fb) and (c,fc). */
     ulim=(*bx)+GLIMIT*(*cx-*bx);       ulim=(*bx)+GLIMIT*(*cx-*bx); /* Maximum abscissa where function should be evaluated */
     if ((*bx-u)*(u-*cx) > 0.0) {       if ((*bx-u)*(u-*cx) > 0.0) { /* if u_p is between b and c */
       fu=(*func)(u);         fu=(*func)(u); 
     } else if ((*cx-u)*(u-ulim) > 0.0) {   #ifdef DEBUG
         /* f(x)=A(x-u)**2+f(u) */
         double A, fparabu; 
         A= (*fb - *fa)/(*bx-*ax)/(*bx+*ax-2*u);
         fparabu= *fa - A*(*ax-u)*(*ax-u);
         printf("\nmnbrak (*ax=%.12f, *fa=%.12lf), (*bx=%.12f, *fb=%.12lf), (*cx=%.12f, *fc=%.12lf),  (*u=%.12f, fu=%.12lf, fparabu=%.12f, q=%lf < %lf=r)\n",*ax,*fa,*bx,*fb,*cx,*fc,u,fu, fparabu,q,r);
         fprintf(ficlog,"\nmnbrak (*ax=%.12f, *fa=%.12lf), (*bx=%.12f, *fb=%.12lf), (*cx=%.12f, *fc=%.12lf),  (*u=%.12f, fu=%.12lf, fparabu=%.12f, q=%lf < %lf=r)\n",*ax,*fa,*bx,*fb,*cx,*fc,u,fu, fparabu,q,r);
         /* And thus,it can be that fu > *fc even if fparabu < *fc */
         /* mnbrak (*ax=7.666299858533, *fa=299039.693133272231), (*bx=8.595447774979, *fb=298976.598289369489),
           (*cx=10.098840694817, *fc=298946.631474258087),  (*u=9.852501168332, fu=298948.773013752128, fparabu=298945.434711494134) */
         /* In that case, there is no bracket in the output! Routine is wrong with many consequences.*/
   #endif 
   #ifdef MNBRAKORIGINAL
   #else
   /*       if (fu > *fc) { */
   /* #ifdef DEBUG */
   /*       printf("mnbrak4  fu > fc \n"); */
   /*       fprintf(ficlog, "mnbrak4 fu > fc\n"); */
   /* #endif */
   /*      /\* SHFT(u,*cx,*cx,u) /\\* ie a=c, c=u and u=c; in that case, next SHFT(a,b,c,u) will give a=b=b, b=c=u, c=u=c and *\\/  *\/ */
   /*      /\* SHFT(*fa,*fc,fu,*fc) /\\* (b, u, c) is a bracket while test fb > fc will be fu > fc  will exit *\\/ *\/ */
   /*      dum=u; /\* Shifting c and u *\/ */
   /*      u = *cx; */
   /*      *cx = dum; */
   /*      dum = fu; */
   /*      fu = *fc; */
   /*      *fc =dum; */
   /*       } else { /\* end *\/ */
   /* #ifdef DEBUG */
   /*       printf("mnbrak3  fu < fc \n"); */
   /*       fprintf(ficlog, "mnbrak3 fu < fc\n"); */
   /* #endif */
   /*      dum=u; /\* Shifting c and u *\/ */
   /*      u = *cx; */
   /*      *cx = dum; */
   /*      dum = fu; */
   /*      fu = *fc; */
   /*      *fc =dum; */
   /*       } */
   #ifdef DEBUGMNBRAK
                    double A, fparabu; 
        A= (*fb - *fa)/(*bx-*ax)/(*bx+*ax-2*u);
        fparabu= *fa - A*(*ax-u)*(*ax-u);
        printf("\nmnbrak35 ax=%lf fa=%lf bx=%lf fb=%lf, u=%lf fp=%lf fu=%lf < or >= fc=%lf cx=%lf, q=%lf < %lf=r \n",*ax, *fa, *bx,*fb,u,fparabu,fu,*fc,*cx,q,r);
        fprintf(ficlog,"\nmnbrak35 ax=%lf fa=%lf bx=%lf fb=%lf, u=%lf fp=%lf fu=%lf < or >= fc=%lf cx=%lf, q=%lf < %lf=r \n",*ax, *fa, *bx,*fb,u,fparabu,fu,*fc,*cx,q,r);
   #endif
         dum=u; /* Shifting c and u */
         u = *cx;
         *cx = dum;
         dum = fu;
         fu = *fc;
         *fc =dum;
   #endif
       } else if ((*cx-u)*(u-ulim) > 0.0) { /* u is after c but before ulim */
   #ifdef DEBUG
         printf("\nmnbrak2  u=%lf after c=%lf but before ulim\n",u,*cx);
         fprintf(ficlog,"\nmnbrak2  u=%lf after c=%lf but before ulim\n",u,*cx);
   #endif
       fu=(*func)(u);         fu=(*func)(u); 
       if (fu < *fc) {         if (fu < *fc) { 
         SHFT(*bx,*cx,u,*cx+GOLD*(*cx-*bx))   #ifdef DEBUG
           SHFT(*fb,*fc,fu,(*func)(u))                                   printf("\nmnbrak2  u=%lf after c=%lf but before ulim=%lf AND fu=%lf < %lf=fc\n",u,*cx,ulim,fu, *fc);
           }                             fprintf(ficlog,"\nmnbrak2  u=%lf after c=%lf but before ulim=%lf AND fu=%lf < %lf=fc\n",u,*cx,ulim,fu, *fc);
     } else if ((u-ulim)*(ulim-*cx) >= 0.0) {   #endif
                             SHFT(*bx,*cx,u,*cx+GOLD*(*cx-*bx)) 
                                   SHFT(*fb,*fc,fu,(*func)(u)) 
   #ifdef DEBUG
                                           printf("\nmnbrak2 shift GOLD c=%lf",*cx+GOLD*(*cx-*bx));
   #endif
         } 
       } else if ((u-ulim)*(ulim-*cx) >= 0.0) { /* u outside ulim (verifying that ulim is beyond c) */
   #ifdef DEBUG
         printf("\nmnbrak2  u=%lf outside ulim=%lf (verifying that ulim is beyond c=%lf)\n",u,ulim,*cx);
         fprintf(ficlog,"\nmnbrak2  u=%lf outside ulim=%lf (verifying that ulim is beyond c=%lf)\n",u,ulim,*cx);
   #endif
       u=ulim;         u=ulim; 
       fu=(*func)(u);         fu=(*func)(u); 
     } else {       } else { /* u could be left to b (if r > q parabola has a maximum) */
   #ifdef DEBUG
         printf("\nmnbrak2  u=%lf could be left to b=%lf (if r=%lf > q=%lf parabola has a maximum)\n",u,*bx,r,q);
         fprintf(ficlog,"\nmnbrak2  u=%lf could be left to b=%lf (if r=%lf > q=%lf parabola has a maximum)\n",u,*bx,r,q);
   #endif
       u=(*cx)+GOLD*(*cx-*bx);         u=(*cx)+GOLD*(*cx-*bx); 
       fu=(*func)(u);         fu=(*func)(u); 
     }   #ifdef DEBUG
         printf("\nmnbrak2 new u=%lf fu=%lf shifted gold left from c=%lf and b=%lf \n",u,fu,*cx,*bx);
         fprintf(ficlog,"\nmnbrak2 new u=%lf fu=%lf shifted gold left from c=%lf and b=%lf \n",u,fu,*cx,*bx);
   #endif
       } /* end tests */
     SHFT(*ax,*bx,*cx,u)       SHFT(*ax,*bx,*cx,u) 
       SHFT(*fa,*fb,*fc,fu)       SHFT(*fa,*fb,*fc,fu) 
       }   #ifdef DEBUG
         printf("\nmnbrak2 shift (*ax=%.12f, *fa=%.12lf), (*bx=%.12f, *fb=%.12lf), (*cx=%.12f, *fc=%.12lf)\n",*ax,*fa,*bx,*fb,*cx,*fc);
         fprintf(ficlog, "\nmnbrak2 shift (*ax=%.12f, *fa=%.12lf), (*bx=%.12f, *fb=%.12lf), (*cx=%.12f, *fc=%.12lf)\n",*ax,*fa,*bx,*fb,*cx,*fc);
   #endif
     } /* end while; ie return (a, b, c, fa, fb, fc) such that a < b < c with f(a) > f(b) and fb < f(c) */
 }   } 
   
 /*************** linmin ************************/  /*************** linmin ************************/
   /* Given an n -dimensional point p[1..n] and an n -dimensional direction xi[1..n] , moves and
   resets p to where the function func(p) takes on a minimum along the direction xi from p ,
   and replaces xi by the actual vector displacement that p was moved. Also returns as fret
   the value of func at the returned location p . This is actually all accomplished by calling the
   routines mnbrak and brent .*/
 int ncom;   int ncom; 
 double *pcom,*xicom;  double *pcom,*xicom;
 double (*nrfunc)(double []);   double (*nrfunc)(double []); 
     
   #ifdef LINMINORIGINAL
 void linmin(double p[], double xi[], int n, double *fret,double (*func)(double []))   void linmin(double p[], double xi[], int n, double *fret,double (*func)(double [])) 
   #else
   void linmin(double p[], double xi[], int n, double *fret,double (*func)(double []), int *flat) 
   #endif
 {   { 
   double brent(double ax, double bx, double cx,     double brent(double ax, double bx, double cx, 
                double (*f)(double), double tol, double *xmin);                  double (*f)(double), double tol, double *xmin); 
Line 1162  void linmin(double p[], double xi[], int Line 2522  void linmin(double p[], double xi[], int
   int j;     int j; 
   double xx,xmin,bx,ax;     double xx,xmin,bx,ax; 
   double fx,fb,fa;    double fx,fb,fa;
    
   #ifdef LINMINORIGINAL
   #else
     double scale=10., axs, xxs; /* Scale added for infinity */
   #endif
     
   ncom=n;     ncom=n; 
   pcom=vector(1,n);     pcom=vector(1,n); 
   xicom=vector(1,n);     xicom=vector(1,n); 
   nrfunc=func;     nrfunc=func; 
   for (j=1;j<=n;j++) {     for (j=1;j<=n;j++) { 
     pcom[j]=p[j];       pcom[j]=p[j]; 
     xicom[j]=xi[j];       xicom[j]=xi[j]; /* Former scale xi[j] of currrent direction i */
   }     } 
   ax=0.0;   
   xx=1.0;   #ifdef LINMINORIGINAL
   mnbrak(&ax,&xx,&bx,&fa,&fx,&fb,f1dim);     xx=1.;
   *fret=brent(ax,xx,bx,f1dim,TOL,&xmin);   #else
     axs=0.0;
     xxs=1.;
     do{
       xx= xxs;
   #endif
       ax=0.;
       mnbrak(&ax,&xx,&bx,&fa,&fx,&fb,f1dim);  /* Outputs: xtx[j]=pcom[j]+(*xx)*xicom[j]; fx=f(xtx[j]) */
       /* brackets with inputs ax=0 and xx=1, but points, pcom=p, and directions values, xicom=xi, are sent via f1dim(x) */
       /* xt[x,j]=pcom[j]+x*xicom[j]  f(ax) = f(xt(a,j=1,n)) = f(p(j) + 0 * xi(j)) and  f(xx) = f(xt(x, j=1,n)) = f(p(j) + 1 * xi(j))   */
       /* Outputs: fa=f(p(j)) and fx=f(p(j) + xxs * xi(j) ) and f(bx)= f(p(j)+ bx* xi(j)) */
       /* Given input ax=axs and xx=xxs, xx might be too far from ax to get a finite f(xx) */
       /* Searches on line, outputs (ax, xx, bx) such that fx < min(fa and fb) */
       /* Find a bracket a,x,b in direction n=xi ie xicom, order may change. Scale is [0:xxs*xi[j]] et non plus  [0:xi[j]]*/
   #ifdef LINMINORIGINAL
   #else
       if (fx != fx){
                           xxs=xxs/scale; /* Trying a smaller xx, closer to initial ax=0 */
                           printf("|");
                           fprintf(ficlog,"|");
   #ifdef DEBUGLINMIN
                           printf("\nLinmin NAN : input [axs=%lf:xxs=%lf], mnbrak outputs fx=%lf <(fb=%lf and fa=%lf) with xx=%lf in [ax=%lf:bx=%lf] \n",  axs, xxs, fx,fb, fa, xx, ax, bx);
   #endif
       }
     }while(fx != fx && xxs > 1.e-5);
   #endif
     
   #ifdef DEBUGLINMIN
     printf("\nLinmin after mnbrak: ax=%12.7f xx=%12.7f bx=%12.7f fa=%12.2f fx=%12.2f fb=%12.2f\n",  ax,xx,bx,fa,fx,fb);
     fprintf(ficlog,"\nLinmin after mnbrak: ax=%12.7f xx=%12.7f bx=%12.7f fa=%12.2f fx=%12.2f fb=%12.2f\n",  ax,xx,bx,fa,fx,fb);
   #endif
   #ifdef LINMINORIGINAL
   #else
     if(fb == fx){ /* Flat function in the direction */
       xmin=xx;
       *flat=1;
     }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) */
     *fret=brent(ax,xx,bx,f1dim,TOL,&xmin); /* Giving a bracketting triplet (ax, xx, bx), find a minimum, xmin, according to f1dim, *fret(xmin),*/
     /* fa = f(p[j] + ax * xi[j]), fx = f(p[j] + xx * xi[j]), fb = f(p[j] + bx * xi[j]) */
     /* fmin = f(p[j] + xmin * xi[j]) */
     /* P+lambda n in that direction (lambdamin), with TOL between abscisses */
     /* f1dim(xmin): for (j=1;j<=ncom;j++) xt[j]=pcom[j]+xmin*xicom[j]; */
 #ifdef DEBUG  #ifdef DEBUG
   printf("retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);    printf("retour brent from bracket (a=%lf fa=%lf, xx=%lf fx=%lf, b=%lf fb=%lf): fret=%lf xmin=%lf\n",ax,fa,xx,fx,bx,fb,*fret,xmin);
   fprintf(ficlog,"retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);    fprintf(ficlog,"retour brent from bracket (a=%lf fa=%lf, xx=%lf fx=%lf, b=%lf fb=%lf): fret=%lf xmin=%lf\n",ax,fa,xx,fx,bx,fb,*fret,xmin);
   #endif
   #ifdef LINMINORIGINAL
   #else
                           }
   #endif
   #ifdef DEBUGLINMIN
     printf("linmin end ");
     fprintf(ficlog,"linmin end ");
 #endif  #endif
   for (j=1;j<=n;j++) {     for (j=1;j<=n;j++) { 
   #ifdef LINMINORIGINAL
     xi[j] *= xmin;       xi[j] *= xmin; 
     p[j] += xi[j];   #else
   #ifdef DEBUGLINMIN
       if(xxs <1.0)
         printf(" before xi[%d]=%12.8f", j,xi[j]);
   #endif
       xi[j] *= xmin*xxs; /* xi rescaled by xmin and number of loops: if xmin=-1.237 and xi=(1,0,...,0) xi=(-1.237,0,...,0) */
   #ifdef DEBUGLINMIN
       if(xxs <1.0)
         printf(" after xi[%d]=%12.8f, xmin=%12.8f, ax=%12.8f, xx=%12.8f, bx=%12.8f, xxs=%12.8f", j,xi[j], xmin, ax, xx, bx,xxs );
   #endif
   #endif
       p[j] += xi[j]; /* Parameters values are updated accordingly */
   }     } 
   #ifdef DEBUGLINMIN
     printf("\n");
     printf("Comparing last *frec(xmin=%12.8f)=%12.8f from Brent and frec(0.)=%12.8f \n", xmin, *fret, (*func)(p));
     fprintf(ficlog,"Comparing last *frec(xmin=%12.8f)=%12.8f from Brent and frec(0.)=%12.8f \n", xmin, *fret, (*func)(p));
     for (j=1;j<=n;j++) { 
       printf(" xi[%d]= %14.10f p[%d]= %12.7f",j,xi[j],j,p[j]);
       fprintf(ficlog," xi[%d]= %14.10f p[%d]= %12.7f",j,xi[j],j,p[j]);
       if(j % ncovmodel == 0){
         printf("\n");
         fprintf(ficlog,"\n");
       }
     }
   #else
   #endif
   free_vector(xicom,1,n);     free_vector(xicom,1,n); 
   free_vector(pcom,1,n);     free_vector(pcom,1,n); 
 }   } 
   
 char *asc_diff_time(long time_sec, char ascdiff[])  
 {  
   long sec_left, days, hours, minutes;  
   days = (time_sec) / (60*60*24);  
   sec_left = (time_sec) % (60*60*24);  
   hours = (sec_left) / (60*60) ;  
   sec_left = (sec_left) %(60*60);  
   minutes = (sec_left) /60;  
   sec_left = (sec_left) % (60);  
   sprintf(ascdiff,"%ld day(s) %ld hour(s) %ld minute(s) %ld second(s)",days, hours, minutes, sec_left);    
   return ascdiff;  
 }  
   
 /*************** powell ************************/  /*************** powell ************************/
   /*
   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-
   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 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.
    */
   #ifdef LINMINORIGINAL
   #else
           int *flatdir; /* Function is vanishing in that direction */
           int flat=0, flatd=0; /* Function is vanishing in that direction */
   #endif
 void powell(double p[], double **xi, int n, double ftol, int *iter, double *fret,   void powell(double p[], double **xi, int n, double ftol, int *iter, double *fret, 
             double (*func)(double []))               double (*func)(double [])) 
 {   { 
   void linmin(double p[], double xi[], int n, double *fret,   #ifdef LINMINORIGINAL
    void linmin(double p[], double xi[], int n, double *fret, 
               double (*func)(double []));                 double (*func)(double [])); 
   int i,ibig,j;   #else 
    void linmin(double p[], double xi[], int n, double *fret,
                double (*func)(double []),int *flat); 
   #endif
    int i,ibig,j,jk,k; 
   double del,t,*pt,*ptt,*xit;    double del,t,*pt,*ptt,*xit;
     double directest;
   double fp,fptt;    double fp,fptt;
   double *xits;    double *xits;
   int niterf, itmp;    int niterf, itmp;
     int Bigter=0, nBigterf=1;
     
   pt=vector(1,n);     pt=vector(1,n); 
   ptt=vector(1,n);     ptt=vector(1,n); 
   xit=vector(1,n);     xit=vector(1,n); 
   xits=vector(1,n);     xits=vector(1,n); 
   *fret=(*func)(p);     *fret=(*func)(p); 
   for (j=1;j<=n;j++) pt[j]=p[j];     for (j=1;j<=n;j++) pt[j]=p[j]; 
     rcurr_time = time(NULL);
     fp=(*fret); /* Initialisation */
   for (*iter=1;;++(*iter)) {     for (*iter=1;;++(*iter)) { 
     fp=(*fret);   
     ibig=0;       ibig=0; 
     del=0.0;       del=0.0; 
     last_time=curr_time;      rlast_time=rcurr_time;
     (void) gettimeofday(&curr_time,&tzp);      rlast_btime=rcurr_time;
     printf("\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret, curr_time.tv_sec-last_time.tv_sec, curr_time.tv_sec-start_time.tv_sec);fflush(stdout);      /* (void) gettimeofday(&curr_time,&tzp); */
     fprintf(ficlog,"\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret, curr_time.tv_sec-last_time.tv_sec, curr_time.tv_sec-start_time.tv_sec); fflush(ficlog);      rcurr_time = time(NULL);  
 /*     fprintf(ficrespow,"%d %.12f %ld",*iter,*fret,curr_time.tv_sec-start_time.tv_sec); */      curr_time = *localtime(&rcurr_time);
    for (i=1;i<=n;i++) {      /* 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); */
       printf(" %d %.12f",i, p[i]);      /* 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); */
       fprintf(ficlog," %d %.12lf",i, p[i]);      Bigter=(*iter - *iter % ncovmodel)/ncovmodel +1; /* Big iteration, i.e on ncovmodel cycle */
       printf("\nPowell iter=%d Big Iter=%d -2*LL=%.12f gain=%.3lg %ld sec. %ld sec.",*iter,Bigter,*fret,fp-*fret, rcurr_time-rlast_time, rcurr_time-rstart_time);fflush(stdout);
       fprintf(ficlog,"\nPowell iter=%d Big Iter=%d -2*LL=%.12f gain=%.3lg %ld sec. %ld sec.",*iter,Bigter,*fret,fp-*fret,rcurr_time-rlast_time, rcurr_time-rstart_time); fflush(ficlog);
       fprintf(ficrespow,"%d %d %.12f %d",*iter,Bigter, *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]);        fprintf(ficrespow," %.12lf", p[i]);
     }      }
       fprintf(ficrespow,"\n");fflush(ficrespow);
       printf("\n#model=  1      +     age ");
       fprintf(ficlog,"\n#model=  1      +     age ");
       if(nagesqr==1){
           printf("  + age*age  ");
           fprintf(ficlog,"  + age*age  ");
       }
       for(j=1;j <=ncovmodel-2;j++){
         if(Typevar[j]==0) {
           printf("  +      V%d  ",Tvar[j]);
           fprintf(ficlog,"  +      V%d  ",Tvar[j]);
         }else if(Typevar[j]==1) {
           printf("  +    V%d*age ",Tvar[j]);
           fprintf(ficlog,"  +    V%d*age ",Tvar[j]);
         }else if(Typevar[j]==2) {
           printf("  +    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]);
         }else if(Typevar[j]==3) {
           printf("  +    V%d*V%d*age ",Tvard[Tposprod[j]][1],Tvard[Tposprod[j]][2]);
           fprintf(ficlog,"  +    V%d*V%d*age ",Tvard[Tposprod[j]][1],Tvard[Tposprod[j]][2]);
         }
       }
     printf("\n");      printf("\n");
   /*     printf("12   47.0114589    0.0154322   33.2424412    0.3279905    2.3731903  */
   /* 13  -21.5392400    0.1118147    1.2680506    1.2973408   -1.0663662  */
     fprintf(ficlog,"\n");      fprintf(ficlog,"\n");
     fprintf(ficrespow,"\n");fflush(ficrespow);      for(i=1,jk=1; i <=nlstate; i++){
     if(*iter <=3){        for(k=1; k <=(nlstate+ndeath); k++){
       tm = *localtime(&curr_time.tv_sec);          if (k != i) {
       strcpy(strcurr,asctime(&tm));            printf("%d%d ",i,k);
 /*       asctime_r(&tm,strcurr); */            fprintf(ficlog,"%d%d ",i,k);
       forecast_time=curr_time;             for(j=1; j <=ncovmodel; j++){
               printf("%12.7f ",p[jk]);
               fprintf(ficlog,"%12.7f ",p[jk]);
               jk++; 
             }
             printf("\n");
             fprintf(ficlog,"\n");
           }
         }
       }
       if(*iter <=3 && *iter >1){
         tml = *localtime(&rcurr_time);
         strcpy(strcurr,asctime(&tml));
         rforecast_time=rcurr_time; 
       itmp = strlen(strcurr);        itmp = strlen(strcurr);
       if(strcurr[itmp-1]=='\n')  /* Windows outputs with a new line */        if(strcurr[itmp-1]=='\n')  /* Windows outputs with a new line */
         strcurr[itmp-1]='\0';          strcurr[itmp-1]='\0';
       printf("\nConsidering the time needed for this last iteration #%d: %ld seconds,\n",*iter,curr_time.tv_sec-last_time.tv_sec);        printf("\nConsidering the time needed for the last iteration #%d: %ld seconds,\n",*iter,rcurr_time-rlast_time);
       fprintf(ficlog,"\nConsidering the time needed for this last iteration #%d: %ld seconds,\n",*iter,curr_time.tv_sec-last_time.tv_sec);        fprintf(ficlog,"\nConsidering the time needed for this last iteration #%d: %ld seconds,\n",*iter,rcurr_time-rlast_time);
       for(niterf=10;niterf<=30;niterf+=10){        for(nBigterf=1;nBigterf<=31;nBigterf+=10){
         forecast_time.tv_sec=curr_time.tv_sec+(niterf-*iter)*(curr_time.tv_sec-last_time.tv_sec);          niterf=nBigterf*ncovmodel;
         tmf = *localtime(&forecast_time.tv_sec);          /* rforecast_time=rcurr_time+(niterf-*iter)*(rcurr_time-rlast_time); */
 /*      asctime_r(&tmf,strfor); */          rforecast_time=rcurr_time+(niterf-*iter)*(rcurr_time-rlast_time);
         strcpy(strfor,asctime(&tmf));          forecast_time = *localtime(&rforecast_time);
           strcpy(strfor,asctime(&forecast_time));
         itmp = strlen(strfor);          itmp = strlen(strfor);
         if(strfor[itmp-1]=='\n')          if(strfor[itmp-1]=='\n')
         strfor[itmp-1]='\0';            strfor[itmp-1]='\0';
         printf("   - if your program needs %d iterations to converge, convergence will be \n   reached in %s i.e.\n   on %s (current time is %s);\n",niterf, asc_diff_time(forecast_time.tv_sec-curr_time.tv_sec,tmpout),strfor,strcurr);          printf("   - if your program needs %d BIG iterations (%d iterations) to converge, convergence will be \n   reached in %s i.e.\n   on %s (current time is %s);\n",nBigterf, niterf, asc_diff_time(rforecast_time-rcurr_time,tmpout),strfor,strcurr);
         fprintf(ficlog,"   - if your program needs %d iterations to converge, convergence will be \n   reached in %s i.e.\n   on %s (current time is %s);\n",niterf, asc_diff_time(forecast_time.tv_sec-curr_time.tv_sec,tmpout),strfor,strcurr);          fprintf(ficlog,"   - if your program needs %d BIG iterations  (%d iterations) to converge, convergence will be \n   reached in %s i.e.\n   on %s (current time is %s);\n",nBigterf, niterf, asc_diff_time(rforecast_time-rcurr_time,tmpout),strfor,strcurr);
       }        }
     }      }
     for (i=1;i<=n;i++) {       for (i=1;i<=n;i++) { /* For each direction i */
       for (j=1;j<=n;j++) xit[j]=xi[j][i];         for (j=1;j<=n;j++) xit[j]=xi[j][i]; /* Directions stored from previous iteration with previous scales */
       fptt=(*fret);         fptt=(*fret); 
 #ifdef DEBUG  #ifdef DEBUG
       printf("fret=%lf \n",*fret);        printf("fret=%lf, %lf, %lf \n", *fret, *fret, *fret);
       fprintf(ficlog,"fret=%lf \n",*fret);        fprintf(ficlog, "fret=%lf, %lf, %lf \n", *fret, *fret, *fret);
 #endif  #endif
       printf("%d",i);fflush(stdout);        printf("%d",i);fflush(stdout); /* print direction (parameter) i */
       fprintf(ficlog,"%d",i);fflush(ficlog);        fprintf(ficlog,"%d",i);fflush(ficlog);
       linmin(p,xit,n,fret,func);   #ifdef LINMINORIGINAL
       if (fabs(fptt-(*fret)) > del) {         linmin(p,xit,n,fret,func); /* New point i minimizing in direction i has coordinates p[j].*/
         del=fabs(fptt-(*fret));         /* xit[j] gives the n coordinates of direction i as input.*/
         ibig=i;         /* *fret gives the maximum value on direction xit */
   #else
         linmin(p,xit,n,fret,func,&flat); /* Point p[n]. xit[n] has been loaded for direction i as input.*/
                           flatdir[i]=flat; /* Function is vanishing in that direction i */
   #endif
                           /* Outputs are fret(new point p) p is updated and xit rescaled */
         if (fabs(fptt-(*fret)) > del) { /* We are keeping the max gain on each of the n directions */
                                   /* because that direction will be replaced unless the gain del is small */
                                   /* in comparison with the 'probable' gain, mu^2, with the last average direction. */
                                   /* Unless the n directions are conjugate some gain in the determinant may be obtained */
                                   /* with the new direction. */
                                   del=fabs(fptt-(*fret)); 
                                   ibig=i; 
       }         } 
 #ifdef DEBUG  #ifdef DEBUG
       printf("%d %.12e",i,(*fret));        printf("%d %.12e",i,(*fret));
       fprintf(ficlog,"%d %.12e",i,(*fret));        fprintf(ficlog,"%d %.12e",i,(*fret));
       for (j=1;j<=n;j++) {        for (j=1;j<=n;j++) {
         xits[j]=FMAX(fabs(p[j]-pt[j]),1.e-5);                                  xits[j]=FMAX(fabs(p[j]-pt[j]),1.e-5);
         printf(" x(%d)=%.12e",j,xit[j]);                                  printf(" x(%d)=%.12e",j,xit[j]);
         fprintf(ficlog," x(%d)=%.12e",j,xit[j]);                                  fprintf(ficlog," x(%d)=%.12e",j,xit[j]);
       }        }
       for(j=1;j<=n;j++) {        for(j=1;j<=n;j++) {
         printf(" p=%.12e",p[j]);                                  printf(" p(%d)=%.12e",j,p[j]);
         fprintf(ficlog," p=%.12e",p[j]);                                  fprintf(ficlog," p(%d)=%.12e",j,p[j]);
       }        }
       printf("\n");        printf("\n");
       fprintf(ficlog,"\n");        fprintf(ficlog,"\n");
 #endif  #endif
     }       } /* end loop on each direction i */
     if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret))) {      /* Convergence test will use last linmin estimation (fret) and compare to former iteration (fp) */ 
       /* But p and xit have been updated at the end of linmin, *fret corresponds to new p, xit  */
       for(j=1;j<=n;j++) {
         if(flatdir[j] >0){
           printf(" p(%d)=%lf flat=%d ",j,p[j],flatdir[j]);
           fprintf(ficlog," p(%d)=%lf flat=%d ",j,p[j],flatdir[j]);
         }
         /* printf("\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 */
         /* By adding age*age in a model, the new -2LL should be lower and the difference follows a */
         /* a chisquare statistics with 1 degree. To be significant at the 95% level, it should have */
         /* decreased of more than 3.84  */
         /* By adding age*age and V1*age the gain (-2LL) should be more than 5.99 (ddl=2) */
         /* By using V1+V2+V3, the gain should be  7.82, compared with basic 1+age. */
         /* By adding 10 parameters more the gain should be 18.31 */
                           
         /* Starting the program with initial values given by a former maximization will simply change */
         /* the scales of the directions and the directions, because the are reset to canonical directions */
         /* Thus the first calls to linmin will give new points and better maximizations until fp-(*fret) is */
         /* under the tolerance value. If the tolerance is very small 1.e-9, it could last long.  */
 #ifdef DEBUG  #ifdef DEBUG
       int k[2],l;        int k[2],l;
       k[0]=1;        k[0]=1;
Line 1311  void powell(double p[], double **xi, int Line 2841  void powell(double p[], double **xi, int
       }        }
 #endif  #endif
   
   
       free_vector(xit,1,n);         free_vector(xit,1,n); 
       free_vector(xits,1,n);         free_vector(xits,1,n); 
       free_vector(ptt,1,n);         free_vector(ptt,1,n); 
       free_vector(pt,1,n);         free_vector(pt,1,n); 
       return;         return; 
     }       } /* enough precision */ 
     if (*iter == ITMAX) nrerror("powell exceeding maximum iterations.");       if (*iter == ITMAX*n) nrerror("powell exceeding maximum iterations."); 
     for (j=1;j<=n;j++) {       for (j=1;j<=n;j++) { /* Computes the extrapolated point P_0 + 2 (P_n-P_0) */
       ptt[j]=2.0*p[j]-pt[j];         ptt[j]=2.0*p[j]-pt[j]; 
       xit[j]=p[j]-pt[j];         xit[j]=p[j]-pt[j]; 
       pt[j]=p[j];         pt[j]=p[j]; 
     }       } 
     fptt=(*func)(ptt);       fptt=(*func)(ptt); /* f_3 */
     if (fptt < fp) {   #ifdef NODIRECTIONCHANGEDUNTILNITER  /* No change in drections until some iterations are done */
       t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)-del*SQR(fp-fptt);                   if (*iter <=4) {
       if (t < 0.0) {   #else
         linmin(p,xit,n,fret,func);   #endif
   #ifdef POWELLNOF3INFF1TEST    /* skips test F3 <F1 */
   #else
       if (fptt < fp) { /* If extrapolated point is better, decide if we keep that new direction or not */
   #endif
         /* (x1 f1=fp), (x2 f2=*fret), (x3 f3=fptt), (xm fm) */
         /* From x1 (P0) distance of x2 is at h and x3 is 2h */
         /* Let f"(x2) be the 2nd derivative equal everywhere.  */
         /* Then the parabolic through (x1,f1), (x2,f2) and (x3,f3) */
         /* will reach at f3 = fm + h^2/2 f"m  ; f" = (f1 -2f2 +f3 ) / h**2 */
         /* Conditional for using this new direction is that mu^2 = (f1-2f2+f3)^2 /2 < del or directest <0 */
         /* also  lamda^2=(f1-f2)^2/mu² is a parasite solution of powell */
         /* For powell, inclusion of this average direction is only if t(del)<0 or del inbetween mu^2 and lambda^2 */
         /* t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)-del*SQR(fp-fptt); */
         /*  Even if f3 <f1, directest can be negative and t >0 */
         /* mu² and del² are equal when f3=f1 */
                           /* f3 < f1 : mu² < del <= lambda^2 both test are equivalent */
                           /* f3 < f1 : mu² < lambda^2 < del then directtest is negative and powell t is positive */
                           /* f3 > f1 : lambda² < mu^2 < del then t is negative and directest >0  */
                           /* f3 > f1 : lambda² < del < mu^2 then t is positive and directest >0  */
   #ifdef NRCORIGINAL
         t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)- del*SQR(fp-fptt); /* Original Numerical Recipes in C*/
   #else
         t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del); /* Intel compiler doesn't work on one line; bug reported */
         t= t- del*SQR(fp-fptt);
   #endif
         directest = fp-2.0*(*fret)+fptt - 2.0 * del; /* If delta was big enough we change it for a new direction */
   #ifdef DEBUG
         printf("t1= %.12lf, t2= %.12lf, t=%.12lf  directest=%.12lf\n", 2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del),del*SQR(fp-fptt),t,directest);
         fprintf(ficlog,"t1= %.12lf, t2= %.12lf, t=%.12lf directest=%.12lf\n", 2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del),del*SQR(fp-fptt),t,directest);
         printf("t3= %.12lf, t4= %.12lf, t3*= %.12lf, t4*= %.12lf\n",SQR(fp-(*fret)-del),SQR(fp-fptt),
                (fp-(*fret)-del)*(fp-(*fret)-del),(fp-fptt)*(fp-fptt));
         fprintf(ficlog,"t3= %.12lf, t4= %.12lf, t3*= %.12lf, t4*= %.12lf\n",SQR(fp-(*fret)-del),SQR(fp-fptt),
                (fp-(*fret)-del)*(fp-(*fret)-del),(fp-fptt)*(fp-fptt));
         printf("tt= %.12lf, t=%.12lf\n",2.0*(fp-2.0*(*fret)+fptt)*(fp-(*fret)-del)*(fp-(*fret)-del)-del*(fp-fptt)*(fp-fptt),t);
         fprintf(ficlog, "tt= %.12lf, t=%.12lf\n",2.0*(fp-2.0*(*fret)+fptt)*(fp-(*fret)-del)*(fp-(*fret)-del)-del*(fp-fptt)*(fp-fptt),t);
   #endif
   #ifdef POWELLORIGINAL
         if (t < 0.0) { /* Then we use it for new direction */
   #else
         if (directest*t < 0.0) { /* Contradiction between both tests */
                                   printf("directest= %.12lf (if <0 we include P0 Pn as new direction), t= %.12lf, f1= %.12lf,f2= %.12lf,f3= %.12lf, del= %.12lf\n",directest, t, fp,(*fret),fptt,del);
           printf("f1-2f2+f3= %.12lf, f1-f2-del= %.12lf, f1-f3= %.12lf\n",fp-2.0*(*fret)+fptt, fp -(*fret) -del, fp-fptt);
           fprintf(ficlog,"directest= %.12lf (if directest<0 or t<0 we include P0 Pn as new direction), t= %.12lf, f1= %.12lf,f2= %.12lf,f3= %.12lf, del= %.12lf\n",directest, t, fp,(*fret),fptt, del);
           fprintf(ficlog,"f1-2f2+f3= %.12lf, f1-f2-del= %.12lf, f1-f3= %.12lf\n",fp-2.0*(*fret)+fptt, fp -(*fret) -del, fp-fptt);
         } 
         if (directest < 0.0) { /* Then we use it for new direction */
   #endif
   #ifdef DEBUGLINMIN
           printf("Before linmin in direction P%d-P0\n",n);
           for (j=1;j<=n;j++) {
             printf(" Before xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
             fprintf(ficlog," Before xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
             if(j % ncovmodel == 0){
               printf("\n");
               fprintf(ficlog,"\n");
             }
           }
   #endif
   #ifdef LINMINORIGINAL
           linmin(p,xit,n,fret,func); /* computes minimum on the extrapolated direction: changes p and rescales xit.*/
   #else
           linmin(p,xit,n,fret,func,&flat); /* computes minimum on the extrapolated direction: changes p and rescales xit.*/
           flatdir[i]=flat; /* Function is vanishing in that direction i */
   #endif
           
   #ifdef DEBUGLINMIN
           for (j=1;j<=n;j++) { 
             printf("After xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
             fprintf(ficlog,"After xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
             if(j % ncovmodel == 0){
               printf("\n");
               fprintf(ficlog,"\n");
             }
           }
   #endif
   #ifdef POWELLORIGINCONJUGATE
         for (j=1;j<=n;j++) {           for (j=1;j<=n;j++) { 
           xi[j][ibig]=xi[j][n];             xi[j][ibig]=xi[j][n]; /* Replace direction with biggest decrease by last direction n */
           xi[j][n]=xit[j];             xi[j][n]=xit[j];      /* and this nth direction by the by the average p_0 p_n */
           }
   #else
           for (j=1;j<=n-1;j++) { 
             xi[j][1]=xi[j][j+1]; /* Standard method of conjugate directions */
             xi[j][n]=xit[j];      /* and this nth direction by the by the average p_0 p_n */
         }          }
   #endif
   #ifdef LINMINORIGINAL
   #else
           for (j=1, flatd=0;j<=n;j++) {
             if(flatdir[j]>0)
               flatd++;
           }
           if(flatd >0){
             printf("%d flat directions: ",flatd);
             fprintf(ficlog,"%d flat directions :",flatd);
             for (j=1;j<=n;j++) { 
               if(flatdir[j]>0){
                 printf("%d ",j);
                 fprintf(ficlog,"%d ",j);
               }
             }
             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);
           fprintf(ficlog,"Gaining to use new average direction of P0 P%d instead of biggest increase direction %d :\n",n,ibig);
     /* The minimization in direction $\xi_1$ gives $P_1$. From $P_1$ minimization in direction $\xi_2$ gives */
     /* $P_2$. Minimization of line $P_2-P_1$ gives new starting point $P^{(1)}_0$ and direction $\xi_1$ is dropped and replaced by second */
     /* direction $\xi_1^{(1)}=\xi_2$. Also second direction is replaced by new direction $\xi^{(1)}_2=P_2-P_0$. */
   
     /* At the second iteration, starting from $P_0^{(1)}$, minimization amongst $\xi^{(1)}_1$ gives point $P^{(1)}_1$. */
     /* Minimization amongst $\xi^{(1)}_2=(P_2-P_0)$ gives point $P^{(1)}_2$.  As $P^{(2)}_1$ and */
     /* $P^{(1)}_0$ are minimizing in the same direction $P^{(1)}_2 - P^{(1)}_1= P_2-P_0$, directions $P^{(1)}_2-P^{(1)}_0$ */
     /* and $P_2-P_0$ (parallel to $\xi$ and $\xi^c$) are conjugate.  } */
   
           
 #ifdef DEBUG  #ifdef DEBUG
         printf("Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);          printf("Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
         fprintf(ficlog,"Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);          fprintf(ficlog,"Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
         for(j=1;j<=n;j++){          for(j=1;j<=n;j++){
           printf(" %.12e",xit[j]);            printf(" %lf",xit[j]);
           fprintf(ficlog," %.12e",xit[j]);            fprintf(ficlog," %lf",xit[j]);
         }          }
         printf("\n");          printf("\n");
         fprintf(ficlog,"\n");          fprintf(ficlog,"\n");
 #endif  #endif
         } /* end of t or directest negative */
   #ifdef POWELLNOF3INFF1TEST
   #else
         } /* end if (fptt < fp)  */
   #endif
   #ifdef NODIRECTIONCHANGEDUNTILNITER  /* No change in drections until some iterations are done */
       } /*NODIRECTIONCHANGEDUNTILNITER  No change in drections until some iterations are done */
   #else
   #endif
                   } /* loop iteration */ 
   } 
     
   /**** Prevalence limit (stable or period prevalence)  ****************/
     
     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 . Nicely done
        *   (and selected quantitative values in nres)
        *  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
        * or prevalence in state 1, prevalence in state 2, 0
        * newm is the matrix after multiplications, its rows are identical at a factor.
        * 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} */
     /*
      * and after some iteration: */
     /* {0.45504275246439968, 0.42731458730878791, 0.11764266022681241, */
     /*  0.45201005341706885, 0.42865420071559901, 0.11933574586733192, */
     /*  0,                   0                  , 1} */
     /* And prevalence by suppressing the deaths are close to identical rows in prlim: */
     /* {0.51571254859325999, 0.4842874514067399, */
     /*  0.51326036147820708, 0.48673963852179264} */
     /* If we start from prlim again, prlim tends to a constant matrix */
       
       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);
     meandiff=vector(1,nlstate);
   
           /* Starting with matrix unity */
     for (ii=1;ii<=nlstate+ndeath;ii++)
       for (j=1;j<=nlstate+ndeath;j++){
         oldm[ii][j]=(ii==j ? 1.0 : 0.0);
       }
     
     cov[1]=1.;
     
     /* 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){
       ncvloop++;
       newm=savm;
       /* Covariates have to be included here again */
       cov[2]=agefin;
        if(nagesqr==1){
         cov[3]= agefin*agefin;
        }
        /* 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 || Typevar[k1]==3){ /* 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 */
        
   /* Start of old code (replaced by a loop on position in the model equation */
       /* for (k=1; k<=nsd;k++) { /\* For single dummy covariates only of the model *\/ */
       /*                  /\* 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])]; *\/ */
       /*   cov[2+nagesqr+TvarsDind[k]]=nbcode[TvarsD[k]][codtabm(ij,TnsdVar[TvarsD[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 */
       /*    *cov[]   1    2      3        4      5    6      7      8     9       10 */
       /*    *TypeVar[k]          2        1      0    0      1      0     1        2 */
       /*    *Dummy[k]            0        2      0    0      2      0     2        0 */
       /*    *Tvar[k]             4        1      2    1      2      3     3        5 */
       /*    *nsd=3                              (1)  (2)           (3) */
       /*    *TvarsD[nsd]                      [1]=2    1             3 */
       /*    *TnsdVar                          [2]=2 [1]=1         [3]=3 */
       /*    *TvarsDind[nsd](=k)               [1]=3 [2]=4         [3]=6 */
       /*    *Tage[]                  [1]=1                  [2]=2      [3]=3 */
       /*    *Tvard[]       [1][1]=1                                           [2][1]=1 */
       /*    *                   [1][2]=3                                           [2][2]=2 */
       /*    *Tprod[](=k)     [1]=1                                              [2]=8 */
       /*    *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' */
       out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /* Bug Valgrind */
       
       savm=oldm;
       oldm=newm;
   
       for(j=1; j<=nlstate; j++){
         max[j]=0.;
         min[j]=1.;
       }
       for(i=1;i<=nlstate;i++){
         sumnew=0;
         for(k=1; k<=ndeath; k++) sumnew+=newm[i][nlstate+k];
         for(j=1; j<=nlstate; j++){ 
           prlim[i][j]= newm[i][j]/(1-sumnew);
           max[j]=FMAX(max[j],prlim[i][j]);
           min[j]=FMIN(min[j],prlim[i][j]);
       }        }
     }       }
   }   
 }   
   
 /**** Prevalence limit (stable or period prevalence)  ****************/      maxmax=0.;
       for(j=1; j<=nlstate; j++){
         meandiff[j]=(max[j]-min[j])/(max[j]+min[j])*2.; /* mean difference for each column */
         maxmax=FMAX(maxmax,meandiff[j]);
         /* printf(" age= %d meandiff[%d]=%f, agefin=%d max[%d]=%f min[%d]=%f maxmax=%f\n", (int)age, j, meandiff[j],(int)agefin, j, max[j], j, min[j],maxmax); */
       } /* j loop */
       *ncvyear= (int)age- (int)agefin;
       /* printf("maxmax=%lf maxmin=%lf ncvloop=%d, age=%d, agefin=%d ncvyear=%d \n", maxmax, maxmin, ncvloop, (int)age, (int)agefin, *ncvyear); */
       if(maxmax < ftolpl){
         /* printf("maxmax=%lf ncvloop=%ld, age=%d, agefin=%d ncvyear=%d \n", maxmax, ncvloop, (int)age, (int)agefin, *ncvyear); */
         free_vector(min,1,nlstate);
         free_vector(max,1,nlstate);
         free_vector(meandiff,1,nlstate);
         return prlim;
       }
     } /* agefin loop */
       /* After some age loop it doesn't converge */
     if(!first){
       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);
     free_vector(meandiff,1,nlstate);
     
     return prlim; /* should not reach here */
   }
   
 double **prevalim(double **prlim, int nlstate, double x[], double age, double **oldm, double **savm, double ftolpl, int ij)  
 {  
   /* Computes the prevalence limit in each live state at age x by left multiplying the unit  
      matrix by transitions matrix until convergence is reached */  
   
   int i, ii,j,k;   /**** Back Prevalence limit (stable or period prevalence)  ****************/
   double min, max, maxmin, maxmax,sumnew=0.;  
    /* double **bprevalim(double **bprlim, double ***prevacurrent, int nlstate, double x[], double age, double ageminpar, double agemaxpar, 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 **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 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 */
     /* or prevalence in state 1, prevalence in state 2, 0 */
     /* newm is the matrix after multiplications, its rows are identical at a factor */
     /* Initial matrix pimij */
     /* {0.85204250825084937, 0.13044499163996345, 0.017512500109187184, */
     /* 0.090851990222114765, 0.88271245433047185, 0.026435555447413338, */
     /*  0,                   0                  , 1} */
     /*
      * and after some iteration: */
     /* {0.45504275246439968, 0.42731458730878791, 0.11764266022681241, */
     /*  0.45201005341706885, 0.42865420071559901, 0.11933574586733192, */
     /*  0,                   0                  , 1} */
     /* And prevalence by suppressing the deaths are close to identical rows in prlim: */
     /* {0.51571254859325999, 0.4842874514067399, */
     /*  0.51326036147820708, 0.48673963852179264} */
     /* If we start from prlim again, prlim tends to a constant matrix */
   
     int i, ii,j,k, k1;
     int first=0;
     double *min, *max, *meandiff, maxmax,sumnew=0.;
   /* double **matprod2(); */ /* test */    /* double **matprod2(); */ /* test */
   double **out, cov[NCOVMAX+1], **pmij();    double **out, cov[NCOVMAX+1], **bmij();
   double **newm;    double **newm;
   double agefin, delaymax=50 ; /* Max number of years to converge */    double         **dnewm, **doldm, **dsavm;  /* for use */
     double         **oldm, **savm;  /* for use */
   
     double agefin, delaymax=200. ; /* 100 Max number of years to converge */
     int ncvloop=0;
     
     min=vector(1,nlstate);
     max=vector(1,nlstate);
     meandiff=vector(1,nlstate);
   
     dnewm=ddnewms; doldm=ddoldms; dsavm=ddsavms;
     oldm=oldms; savm=savms;
     
     /* 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);        oldm[ii][j]=(ii==j ? 1.0 : 0.0);
     }      }
     
    cov[1]=1.;    cov[1]=1.;
      
  /* Even if hstepm = 1, at least one multiplication by the unit matrix */    /* Even if hstepm = 1, at least one multiplication by the unit matrix */
   for(agefin=age-stepm/YEARM; agefin>=age-delaymax; agefin=agefin-stepm/YEARM){    /* Start at agefin= age, computes the matrix of passage and loops decreasing agefin until convergence is reached */
     newm=savm;    /* 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<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 */      /* Covariates have to be included here again */
     cov[2]=agefin;      cov[2]=agefin;
           if(nagesqr==1){
     for (k=1; k<=cptcovn;k++) {        cov[3]= agefin*agefin;;
       cov[2+k]=nbcode[Tvar[k]][codtab[ij][Tvar[k]]];      }
       /*printf("prevalim ij=%d k=%d Tvar[%d]=%d nbcode=%d cov=%lf codtab[%d][Tvar[%d]]=%d \n",ij,k, k, Tvar[k],nbcode[Tvar[k]][codtab[ij][Tvar[k]]],cov[2+k], ij, k, codtab[ij][Tvar[k]]);*/      for(k1=1;k1<=cptcovt;k1++){ /* loop on model equation (including products) */ 
     }        if(Typevar[k1]==1 || Typevar[k1]==3){ /* A product with age */
     /* for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */          cov[2+nagesqr+k1]=precov[nres][k1]*cov[2];
     /* for (k=1; k<=cptcovprod;k++) /\* Useless *\/ */        }else{
     /*   cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]] * nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]]; */          cov[2+nagesqr+k1]=precov[nres][k1];
         }
       }/* 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 cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/
     /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/      /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/
     /*printf("ij=%d cov[3]=%lf \n",ij, cov[3]);*/      /*printf("ij=%d cov[3]=%lf \n",ij, cov[3]);*/
     /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */      /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
     /* out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /\* Bug Valgrind *\/ */      /* out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /\* Bug Valgrind *\/ */
     out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /* Bug Valgrind */                  /* ij should be linked to the correct index of cov */
                       /* age and covariate values ij are in 'cov', but we need to pass
                    * ij for the observed prevalence at age and status and covariate
                    * number:  prevacurrent[(int)agefin][ii][ij]
                    */
       /* 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;      savm=oldm;
     oldm=newm;      oldm=newm;
     maxmax=0.;  
     for(j=1;j<=nlstate;j++){      for(j=1; j<=nlstate; j++){
       min=1.;        max[j]=0.;
       max=0.;        min[j]=1.;
       for(i=1; i<=nlstate; i++) {      }
         sumnew=0;      for(j=1; j<=nlstate; j++){ 
         for(k=1; k<=ndeath; k++) sumnew+=newm[i][nlstate+k];        for(i=1;i<=nlstate;i++){
         prlim[i][j]= newm[i][j]/(1-sumnew);          /* bprlim[i][j]= newm[i][j]/(1-sumnew); */
         /*printf(" prevalim i=%d, j=%d, prmlim[%d][%d]=%f, agefin=%d \n", i, j, i, j, prlim[i][j],(int)agefin);*/          bprlim[i][j]= newm[i][j];
         max=FMAX(max,prlim[i][j]);          max[i]=FMAX(max[i],bprlim[i][j]); /* Max in line */
         min=FMIN(min,prlim[i][j]);          min[i]=FMIN(min[i],bprlim[i][j]);
       }        }
       maxmin=max-min;  
       maxmax=FMAX(maxmax,maxmin);  
     }      }
                   
       maxmax=0.;
       for(i=1; i<=nlstate; i++){
         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); */
       } /* 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); */
     if(maxmax < ftolpl){      if(maxmax < ftolpl){
       return prlim;        /* 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);
   }        free_vector(max,1,nlstate);
         free_vector(meandiff,1,nlstate);
         return bprlim;
       }
     } /* agefin loop */
       /* After some age loop it doesn't converge */
     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);
     }
     fprintf(ficlog,"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'. \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);
     /* 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);
     free_vector(meandiff,1,nlstate);
     
     return bprlim; /* should not reach here */
 }  }
   
 /*************** transition probabilities ***************/   /*************** transition probabilities ***************/ 
Line 1418  double **prevalim(double **prlim, int nl Line 3415  double **prevalim(double **prlim, int nl
 double **pmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )  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,    /* 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).       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]       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       and, according on how parameters are entered, the position of the coefficient xij(nc) of the
Line 1427  double **pmij(double **ps, double *cov, Line 3424  double **pmij(double **ps, double *cov,
      j>=i nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel       j>=i nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel
      Computes ln(pij/pii) (lnpijopii), deduces pij/pii by exponentiation,       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.       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]       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 s1, lnpijopii;
   /*double t34;*/    /*double t34;*/
   int i,j,j1, nc, ii, jj;    int i,j, nc, ii, jj;
   
     for(i=1; i<= nlstate; i++){    for(i=1; i<= nlstate; i++){
       for(j=1; j<i;j++){      for(j=1; j<i;j++){
         for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){        for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
           /*lnpijopii += param[i][j][nc]*cov[nc];*/          /*lnpijopii += param[i][j][nc]*cov[nc];*/
           lnpijopii += x[nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel]*cov[nc];          lnpijopii += x[nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel]*cov[nc];
 /*       printf("Int j<i s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */          /*       printf("Int j<i s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
         }        }
         ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */        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(j=i+1; j<=nlstate+ndeath;j++){
         for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){        for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
           /*lnpijopii += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];*/          /*lnpijopii += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];*/
           lnpijopii += x[nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel]*cov[nc];          lnpijopii += x[nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel]*cov[nc];
 /*        printf("Int j>i s1=%.17e, lnpijopii=%.17e %lx %lx\n",s1,lnpijopii,s1,lnpijopii); */          /*        printf("Int j>i s1=%.17e, lnpijopii=%.17e %lx %lx\n",s1,lnpijopii,s1,lnpijopii); */
         }        }
         ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */        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); */
       }
     }
     
     for(i=1; i<= nlstate; i++){
       s1=0;
       for(j=1; j<i; j++){
         /* printf("debug1 %d %d ps=%lf exp(ps)=%lf \n",i,j,ps[i][j],exp(ps[i][j])); */
         s1+=exp(ps[i][j]); /* In fact sums pij/pii */
       }
       for(j=i+1; j<=nlstate+ndeath; j++){
         /* printf("debug2 %d %d ps=%lf exp(ps)=%lf \n",i,j,ps[i][j],exp(ps[i][j])); */
         s1+=exp(ps[i][j]); /* In fact sums pij/pii */
       }
       /* 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];/* 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 */
     } /* end i */
     
     for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){
       for(jj=1; jj<= nlstate+ndeath; jj++){
         ps[ii][jj]=0;
         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]); */
     /*   } */
     /*   printf("\n "); */
     /* } */
     /* printf("\n ");printf("%lf ",cov[2]);*/
     /*
       for(i=1; i<= npar; i++) printf("%f ",x[i]);
                   goto end;*/
     return ps; /* Pointer is unchanged since its call */
   }
   
   /*************** backward transition probabilities ***************/ 
   
    /* double **bmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate,  double ***prevacurrent, double ageminpar, double agemaxpar, double ***dnewm, double **doldm, double **dsavm, int ij ) */
   /* 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, cov[2], and covariate combination 'ij'. In fact cov is already filled and x too.
      * 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) at beginning of transition */
     /* dsavm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
   
     /* 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(i=1; i<= nlstate; i++){      for (ii=1;ii<=nlstate+ndeath;ii++){
       s1=0;        for (j=1;j<=nlstate+ndeath;j++)
       for(j=1; j<i; j++){        doldm[ii][j]=(ii==j ? 1./nlstate : 0.0);
         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); */  
       }  
       for(j=i+1; j<=nlstate+ndeath; j++){  
         s1+=exp(ps[i][j]); /* In fact sums pij/pii */  
         /*printf("debug2 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */  
       }  
       /* s1= sum_{j<>i} pij/pii=(1-pii)/pii and thus pii is known from s1 */  
       ps[i][i]=1./(s1+1.);  
       /* Computing other pijs */  
       for(j=1; j<i; j++)  
         ps[i][j]= exp(ps[i][j])*ps[i][i];  
       for(j=i+1; j<=nlstate+ndeath; j++)  
         ps[i][j]= exp(ps[i][j])*ps[i][i];  
       /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */  
     } /* end i */  
       
     for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){  
       for(jj=1; jj<= nlstate+ndeath; jj++){  
         ps[ii][jj]=0;  
         ps[ii][ii]=1;  
       }  
     }      }
           /* 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); */
     /* 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]); */  
     /*   } */  
     /*   printf("\n "); */  
     /* } */      /* } */
     /* printf("\n ");printf("%lf ",cov[2]);*/    }
     /*    k3=0.0;  /* We put the last diagonal to 0 */
       for(i=1; i<= npar; i++) printf("%f ",x[i]);    for (ii=nlstate+1;ii<=nlstate+ndeath;ii++){
       goto end;*/        doldm[ii][ii]= k3;
     return ps;    }
     /* 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.;
       for (ii=1;ii<=nlstate;ii++){
         /* 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(agefin >= agemaxpar && agefin <= agemaxpar+stepm/YEARM){ */
           /*      dsavm[ii][j]=(ii==j ? 1./sumnew : 0.0); */
           /* }else if(agefin >= agemaxpar+stepm/YEARM){ */
           /*      dsavm[ii][j]=(ii==j ? 1./sumnew : 0.0); */
           /* }else */
         dsavm[ii][j]=(ii==j ? 1./sumnew : 0.0);
       } /*End ii */
     } /* 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 */
   
     ps=matprod2(ps, dnewm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, dsavm); /* was a Bug Valgrind */
     /* ps is now diag[w_i] * Px * diag [1/(w_1p1i+w_2 p2i)] */
     /* end bmij */
     return ps; /*pointer is unchanged */
   }
   /*************** transition probabilities ***************/ 
   
   double **bpmij(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
        model to the ncovmodel covariates (including constant and age).
        lnpijopii=ln(pij/pii)= aij+bij*age+cij*v1+dij*v2+... = sum_nc=1^ncovmodel xij(nc)*cov[nc]
        and, according on how parameters are entered, the position of the coefficient xij(nc) of the
        ncth covariate in the global vector x is given by the formula:
        j<i nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel
        j>=i nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel
        Computes ln(pij/pii) (lnpijopii), deduces pij/pii by exponentiation,
        sums on j different of i to get 1-pii/pii, deduces pii, and then all pij.
        Outputs ps[i][j] the probability to be observed in j being in j according to
        the values of the covariates cov[nc] and corresponding parameter values x[nc+shiftij]
     */
     double s1, lnpijopii;
     /*double t34;*/
     int i,j, nc, ii, jj;
   
     for(i=1; i<= nlstate; i++){
       for(j=1; j<i;j++){
         for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
           /*lnpijopii += param[i][j][nc]*cov[nc];*/
           lnpijopii += x[nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel]*cov[nc];
           /*       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); */
       }
       for(j=i+1; j<=nlstate+ndeath;j++){
         for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
           /*lnpijopii += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];*/
           lnpijopii += x[nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel]*cov[nc];
           /*        printf("Int j>i s1=%.17e, lnpijopii=%.17e %lx %lx\n",s1,lnpijopii,s1,lnpijopii); */
         }
         ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
       }
     }
     
     for(i=1; i<= nlstate; i++){
       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); */
       }
       for(j=i+1; j<=nlstate+ndeath; j++){
         s1+=exp(ps[i][j]); /* In fact sums pij/pii */
         /*printf("debug2 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
       }
       /* s1= sum_{j<>i} pij/pii=(1-pii)/pii and thus pii is known from s1 */
       ps[i][i]=1./(s1+1.);
       /* Computing other pijs */
       for(j=1; j<i; j++)
         ps[i][j]= exp(ps[i][j])*ps[i][i];
       for(j=i+1; j<=nlstate+ndeath; j++)
         ps[i][j]= exp(ps[i][j])*ps[i][i];
       /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */
     } /* end i */
     
     for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){
       for(jj=1; jj<= nlstate+ndeath; jj++){
         ps[ii][jj]=0;
         ps[ii][ii]=1;
       }
     }
     /* Added for prevbcast */ /* Transposed matrix too */
     for(jj=1; jj<= nlstate+ndeath; jj++){
       s1=0.;
       for(ii=1; ii<= nlstate+ndeath; ii++){
         s1+=ps[ii][jj];
       }
       for(ii=1; ii<= nlstate; ii++){
         ps[ii][jj]=ps[ii][jj]/s1;
       }
     }
     /* Transposition */
     for(jj=1; jj<= nlstate+ndeath; jj++){
       for(ii=jj; ii<= nlstate+ndeath; ii++){
         s1=ps[ii][jj];
         ps[ii][jj]=ps[jj][ii];
         ps[jj][ii]=s1;
       }
     }
     /* 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]); */
     /*   } */
     /*   printf("\n "); */
     /* } */
     /* printf("\n ");printf("%lf ",cov[2]);*/
     /*
       for(i=1; i<= npar; i++) printf("%f ",x[i]);
       goto end;*/
     return ps;
 }  }
   
   
 /**************** Product of 2 matrices ******************/  /**************** Product of 2 matrices ******************/
   
 double **matprod2(double **out, double **in,int nrl, int nrh, int ncl, int nch, int ncolol, int ncoloh, double **b)  double **matprod2(double **out, double **in,int nrl, int nrh, int ncl, int nch, int ncolol, int ncoloh, double **b)
Line 1517  double **matprod2(double **out, double * Line 3703  double **matprod2(double **out, double *
   
 /************* Higher Matrix Product ***************/  /************* Higher Matrix Product ***************/
   
 double ***hpxij(double ***po, int nhstepm, double age, int hstepm, double *x, int nlstate, int stepm, double **oldm, double **savm, int ij )  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' 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       'nhstepm*hstepm*stepm' months (i.e. until
      age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying        age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying 
      nhstepm*hstepm matrices.        nhstepm*hstepm matrices. 
Line 1531  double ***hpxij(double ***po, int nhstep Line 3718  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 **out, cov[NCOVMAX+1];
   double **newm;    double **newm;
     double agexact;
     double agebegin, ageend;
   
   /* Hstepm could be zero and should return the unit matrix */    /* Hstepm could be zero and should return the unit matrix */
   for (i=1;i<=nlstate+ndeath;i++)    for (i=1;i<=nlstate+ndeath;i++)
Line 1547  double ***hpxij(double ***po, int nhstep Line 3736  double ***hpxij(double ***po, int nhstep
       newm=savm;        newm=savm;
       /* Covariates have to be included here again */        /* Covariates have to be included here again */
       cov[1]=1.;        cov[1]=1.;
       cov[2]=age+((h-1)*hstepm + (d-1))*stepm/YEARM;        agexact=age+((h-1)*hstepm + (d-1))*stepm/YEARM; /* age just before transition */
       for (k=1; k<=cptcovn;k++)         cov[2]=agexact;
         cov[2+k]=nbcode[Tvar[k]][codtab[ij][Tvar[k]]];        if(nagesqr==1){
       for (k=1; k<=cptcovage;k++)          cov[3]= agexact*agexact;
         cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2];        }
       for (k=1; k<=cptcovprod;k++) /* Useless because included in cptcovn */        /* Model(2)  V1 + V2 + V3 + V8 + V7*V8 + V5*V6 + V8*age + V3*age + age*age */
         cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]]*nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]];        /* 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 || Typevar[k1]==3){ /* 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 *\/ */
         /*        cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2]; */
         /* 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)]; */
         
         
       /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/        /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/
       /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/        /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/
         /* right multiplication of oldm by the current matrix */
       out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath,         out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, 
                    pmij(pmmij,cov,ncovmodel,x,nlstate));                     pmij(pmmij,cov,ncovmodel,x,nlstate));
         /* if((int)age == 70){ */
         /*        printf(" Forward hpxij age=%d agexact=%f d=%d nhstepm=%d hstepm=%d\n", (int) age, agexact, d, nhstepm, hstepm); */
         /*        for(i=1; i<=nlstate+ndeath; i++) { */
         /*          printf("%d pmmij ",i); */
         /*          for(j=1;j<=nlstate+ndeath;j++) { */
         /*            printf("%f ",pmmij[i][j]); */
         /*          } */
         /*          printf(" oldm "); */
         /*          for(j=1;j<=nlstate+ndeath;j++) { */
         /*            printf("%f ",oldm[i][j]); */
         /*          } */
         /*          printf("\n"); */
         /*        } */
         /* } */
       savm=oldm;        savm=oldm;
       oldm=newm;        oldm=newm;
     }      }
Line 1570  double ***hpxij(double ***po, int nhstep Line 3878  double ***hpxij(double ***po, int nhstep
       }        }
     /*printf("h=%d ",h);*/      /*printf("h=%d ",h);*/
   } /* end 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, int nres )
   {
     /* 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.
        Output is stored in matrix po[i][j][h] for h every 'hstepm' step
        (typically every 2 years instead of every month which is too big
        for the memory).
        Model is determined by parameters x and covariates have to be
        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, k1;
     double **out, cov[NCOVMAX+1], **bmij();
     double **newm, ***newmm;
     double agexact;
     double agebegin, ageend;
     double **oldm, **savm;
   
     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++){
         oldm[i][j]=(i==j ? 1.0 : 0.0);
         po[i][j][0]=(i==j ? 1.0 : 0.0);
       }
     /* Even if hstepm = 1, at least one multiplication by the unit matrix */
     for(h=1; h <=nhstepm; h++){
       for(d=1; d <=hstepm; d++){
         newm=savm;
         /* Covariates have to be included here again */
         cov[1]=1.;
         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){
           cov[3]= agexact*agexact;
         }
         /** New code */
         for(k1=1;k1<=cptcovt;k1++){ /* loop on model equation (including products) */ 
           if(Typevar[k1]==1 || Typevar[k1]==3){ /* 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 */
         /** End of new code */
     /** This was old code */
         /* for (k=1; k<=nsd;k++){ /\* For single dummy covariates only *\//\* cptcovn error *\/ */
         /* /\*    cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)]; *\/ */
         /* /\* /\\* 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], 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),\
                      1,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++) { */
         /*          printf("%d pmmij ",i); */
         /*          for(j=1;j<=nlstate+ndeath;j++) { */
         /*            printf("%f ",pmmij[i][j]); */
         /*          } */
         /*          printf(" oldm "); */
         /*          for(j=1;j<=nlstate+ndeath;j++) { */
         /*            printf("%f ",oldm[i][j]); */
         /*          } */
         /*          printf("\n"); */
         /*        } */
         /* } */
         savm=oldm;
         oldm=newm;
       }
       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]); */
         }
       /* printf("h=%d %.1f ",h, agexact); */
     } /* end h */
     /* printf("\n H=%d nhs=%d \n",h, nhstepm); */
   return po;    return po;
 }  }
   
   
   #ifdef NLOPT
     double  myfunc(unsigned n, const double *p1, double *grad, void *pd){
     double fret;
     double *xt;
     int j;
     myfunc_data *d2 = (myfunc_data *) pd;
   /* xt = (p1-1); */
     xt=vector(1,n); 
     for (j=1;j<=n;j++)   xt[j]=p1[j-1]; /* xt[1]=p1[0] */
   
     fret=(d2->function)(xt); /*  p xt[1]@8 is fine */
     /* fret=(*func)(xt); /\*  p xt[1]@8 is fine *\/ */
     printf("Function = %.12lf ",fret);
     for (j=1;j<=n;j++) printf(" %d %.8lf", j, xt[j]); 
     printf("\n");
    free_vector(xt,1,n);
     return fret;
   }
   #endif
   
 /*************** log-likelihood *************/  /*************** log-likelihood *************/
 double func( double *x)  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;
     int ipos=0,iposold=0,ncovv=0;
   
     double cotvarv, cotvarvold;
   double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1];    double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1];
   double **out;    double **out;
   double sw; /* Sum of weights */  
   double lli; /* Individual log likelihood */    double lli; /* Individual log likelihood */
   int s1, s2;    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;    double bbh, survp;
   long ipmx;    double agexact;
     double agebegin, ageend;
   /*extern weight */    /*extern weight */
   /* We are differentiating ll according to initial status */    /* We are differentiating ll according to initial status */
   /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/    /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
   /*for(i=1;i<imx;i++)     /*for(i=1;i<imx;i++) 
     printf(" %d\n",s[4][i]);      printf(" %d\n",s[4][i]);
   */    */
   
     ++countcallfunc;
   
   cov[1]=1.;    cov[1]=1.;
   
   for(k=1; k<=nlstate; k++) ll[k]=0.;    for(k=1; k<=nlstate; k++) ll[k]=0.;
     ioffset=0;
   if(mle==1){    if(mle==1){
     for (i=1,ipmx=0, sw=0.; i<=imx; i++){      for (i=1,ipmx=0, sw=0.; i<=imx; i++){
       /* Computes the values of the ncovmodel covariates of the model        /* Computes the values of the ncovmodel covariates of the model
          depending if the covariates are fixed or variying (age dependent) and stores them in cov[]           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           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.           to be observed in j being in i according to the model.
        */        */
       for (k=1; k<=cptcovn;k++){ /* Simple and product covariates without age* products */        ioffset=2+nagesqr ;
         cov[2+k]=covar[Tvar[k]][i];     /* Fixed */
         for (kf=1; kf<=ncovf;kf++){ /* For each fixed covariate dummy or quant or prod */
           /* # 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]         /* 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 */           has been calculated etc */
       for(mi=1; mi<= wav[i]-1; mi++){        /* For an individual i, wav[i] gives the number of effective waves */
         /* 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] because now is moved after nvocol+nqv 
            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++){  /* Varying with waves */
         /* Wave varying (but not age varying) */
           /* 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(ncovv=1, iposold=0; ncovv <= ncovvt ; ncovv++){ /* Varying  covariates (single and product but no age )*/
             itv=TvarVV[ncovv]; /*  TvarVV={3, 1, 3} gives the name of each varying covariate */
             ipos=TvarVVind[ncovv]; /* TvarVVind={2, 5, 5] gives the position in the model of the ncovv th varying covariate*/
             if(FixedV[itv]!=0){ /* Not a fixed covariate */
               cotvarv=cotvar[mw[mi][i]][TvarVV[ncovv]][i];  /* cotvar[wav][ncovcol+nqv+iv][i] */
             }else{ /* fixed covariate */
               cotvarv=covar[itv][i];  /* Error: TvarFind gives the name, that is the true column of fixed covariates, but Tvar of the model */
             }
             if(ipos!=iposold){ /* Not a product or first of a product */
               cotvarvold=cotvarv;
             }else{ /* A second product */
               cotvarv=cotvarv*cotvarvold;
             }
             iposold=ipos;
             cov[ioffset+ipos]=cotvarv;
           }
           /* for products of time varying to be done */
         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);              oldm[ii][j]=(ii==j ? 1.0 : 0.0);
             savm[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++){          for(d=0; d<dh[mi][i]; d++){
           newm=savm;            newm=savm;
           cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;            agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
           for (kk=1; kk<=cptcovage;kk++) {            cov[2]=agexact;
             cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2]; /* Tage[kk] gives the data-covariate associated with age */            if(nagesqr==1)
               cov[3]= agexact*agexact;  /* Should be changed here */
             /* for (kk=1; kk<=cptcovage;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 *\/ */
             /*   else */
             /*     cov[Tage[kk]+2+nagesqr]=cotvar[mw[mi][i]][Tvar[Tage[kk]]][i]*agexact; /\* because cotvar starts now at first ncovcol+nqv+ (1 to nqtv) *\/  */
             /* } */
             for(ncovva=1, iposold=0; ncovva <= ncovta ; ncovva++){ /* Time varying  covariates with age including individual from products, product is computed dynamically */
               itv=TvarAVVA[ncovva]; /*  TvarVV={3, 1, 3} gives the name of each varying covariate, exploding product Vn*Vm into Vn and then Vm  */
               ipos=TvarAVVAind[ncovva]; /* TvarVVind={2, 5, 5] gives the position in the model of the ncovv th varying covariate*/
               if(FixedV[itv]!=0){ /* Not a fixed covariate? Could be a fixed covariate of a product with a higher than ncovcol+nqv, itv */
                 cotvarv=cotvar[mw[mi][i]][TvarAVVA[ncovva]][i];  /* because cotvar starts now at first ncovcol+nqv+ntv+nqtv (1 to nqtv) */ 
               }else{ /* fixed covariate */
                 cotvarv=covar[itv][i];  /* Error: TvarFind gives the name, that is the true column of fixed covariates, but Tvar of the model */
               }
               if(ipos!=iposold){ /* Not a product or first of a product */
                 cotvarvold=cotvarv;
               }else{ /* A second product */
                 cotvarv=cotvarv*cotvarvold;
               }
               iposold=ipos;
               cov[ioffset+ipos]=cotvarv*agexact;
               /* For products */
           }            }
             
           out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                        1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
           savm=oldm;            savm=oldm;
           oldm=newm;            oldm=newm;
         } /* end mult */          } /* end mult */
                 
         /*lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);*/ /* Original formula */          /*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.          /* 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            * If stepm is larger than one month (smallest stepm) and if the exact delay 
Line 1635  double func( double *x) Line 4168  double func( double *x)
          * we keep into memory the bias bh[mi][i] and also the previous matrix product           * 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           * (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           * 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                                   * from savm to out if bh is negative or even beyond if bh is positive. bh varies
          * -stepm/2 to stepm/2 .                                   * -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 the same as for previous versions of Imach.
          * For stepm > 1 the results are less biased than in previous versions.                                    * For stepm > 1 the results are less biased than in previous versions. 
          */                                   */
         s1=s[mw[mi][i]][i];          s1=s[mw[mi][i]][i];
         s2=s[mw[mi+1][i]][i];          s2=s[mw[mi+1][i]][i];
         bbh=(double)bh[mi][i]/(double)stepm;           bbh=(double)bh[mi][i]/(double)stepm; 
Line 1654  double func( double *x) Line 4187  double func( double *x)
              which is also equal to probability to die before dh                which is also equal to probability to die before dh 
              minus probability to die before dh-stepm .                minus probability to die before dh-stepm . 
              In version up to 0.92 likelihood was computed               In version up to 0.92 likelihood was computed
         as if date of death was unknown. Death was treated as any other               as if date of death was unknown. Death was treated as any other
         health state: the date of the interview describes the actual state               health state: the date of the interview describes the actual state
         and not the date of a change in health state. The former idea was               and not the date of a change in health state. The former idea was
         to consider that at each interview the state was recorded               to consider that at each interview the state was recorded
         (healthy, disable or death) and IMaCh was corrected; but when we               (healthy, disable or death) and IMaCh was corrected; but when we
         introduced the exact date of death then we should have modified               introduced the exact date of death then we should have modified
         the contribution of an exact death to the likelihood. This new               the contribution of an exact death to the likelihood. This new
         contribution is smaller and very dependent of the step unit               contribution is smaller and very dependent of the step unit
         stepm. It is no more the probability to die between last interview               stepm. It is no more the probability to die between last interview
         and month of death but the probability to survive from last               and month of death but the probability to survive from last
         interview up to one month before death multiplied by the               interview up to one month before death multiplied by the
         probability to die within a month. Thanks to Chris               probability to die within a month. Thanks to Chris
         Jackson for correcting this bug.  Former versions increased               Jackson for correcting this bug.  Former versions increased
         mortality artificially. The bad side is that we add another loop               mortality artificially. The bad side is that we add another loop
         which slows down the processing. The difference can be up to 10%               which slows down the processing. The difference can be up to 10%
         lower mortality.               lower mortality.
             */
             /* If, at the beginning of the maximization mostly, the
                cumulative probability or probability to be dead is
                constant (ie = 1) over time d, the difference is equal to
                0.  out[s1][3] = savm[s1][3]: probability, being at state
                s1 at precedent wave, to be dead a month before current
                wave is equal to probability, being at state s1 at
                precedent wave, to be dead at mont of the current
                wave. Then the observed probability (that this person died)
                is null according to current estimated parameter. In fact,
                it should be very low but not zero otherwise the log go to
                infinity.
           */            */
   /* #ifdef INFINITYORIGINAL */
   /*          lli=log(out[s1][s2] - savm[s1][s2]); */
   /* #else */
   /*        if ((out[s1][s2] - savm[s1][s2]) < mytinydouble)  */
   /*          lli=log(mytinydouble); */
   /*        else */
   /*          lli=log(out[s1][s2] - savm[s1][s2]); */
   /* #endif */
           lli=log(out[s1][s2] - savm[s1][s2]);            lli=log(out[s1][s2] - savm[s1][s2]);
             
           } else if  ( s2==-1 ) { /* alive */
         } else if  (s2==-2) {  
           for (j=1,survp=0. ; j<=nlstate; j++)             for (j=1,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];
           /*survp += out[s1][j]; */            /*survp += out[s1][j]; */
           lli= log(survp);            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) {  */
           /*   for (j=1,survp=0. ; j<=2; j++)   */
         else if  (s2==-5) {           /*     survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j]; */
           for (j=1,survp=0. ; j<=2; j++)            /*   lli= log(survp);  */
             survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];          /* }  */
           lli= log(survp);   
         }   
           
         else{          else{
           lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */            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 */            /*  lli= (savm[s1][s2]>(double)1.e-8 ?log((1.+bbh)*out[s1][s2]- bbh*(savm[s1][s2])):log((1.+bbh)*out[s1][s2]));*/ /* linear interpolation */
         }           } 
         /*lli=(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]);*/          /*lli=(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]);*/
         /*if(lli ==000.0)*/          /*if(lli ==000.0)*/
         /*printf("bbh= %f lli=%f savm=%f out=%f %d\n",bbh,lli,savm[s1][s2], out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]],i); */          /* printf("num[i], i=%d, bbh= %f lli=%f savm=%f out=%f %d\n",bbh,lli,savm[s1][s2], out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]],i); */
         ipmx +=1;          ipmx +=1;
         sw += weight[i];          sw += weight[i];
         ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;          ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
           /* if (lli < log(mytinydouble)){ */
           /*   printf("Close to inf lli = %.10lf <  %.10lf i= %d mi= %d, s[%d][i]=%d s1=%d s2=%d\n", lli,log(mytinydouble), i, mi,mw[mi][i], s[mw[mi][i]][i], s1,s2); */
           /*   fprintf(ficlog,"Close to inf lli = %.10lf i= %d mi= %d, s[mw[mi][i]][i]=%d\n", lli, i, mi,s[mw[mi][i]][i]); */
           /* } */
       } /* end of wave */        } /* end of wave */
     } /* end of individual */      } /* end of individual */
   }  else if(mle==2){    }  else if(mle==2){
     for (i=1,ipmx=0, sw=0.; i<=imx; i++){      for (i=1,ipmx=0, sw=0.; i<=imx; i++){
       for (k=1; k<=cptcovn;k++) cov[2+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(mi=1; mi<= wav[i]-1; mi++){
           for(k=1; k <= ncovv ; k++){
             cov[ioffset+TvarVind[k]]=cotvar[mw[mi][i]][Tvar[TvarVind[k]]][i]; /* because cotvar starts now at first ncovcol+nqv+ (1 to nqtv) */ 
           }
         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);              oldm[ii][j]=(ii==j ? 1.0 : 0.0);
Line 1716  double func( double *x) Line 4274  double func( double *x)
           }            }
         for(d=0; d<=dh[mi][i]; d++){          for(d=0; d<=dh[mi][i]; d++){
           newm=savm;            newm=savm;
           cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;            agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
             cov[2]=agexact;
             if(nagesqr==1)
               cov[3]= agexact*agexact;
           for (kk=1; kk<=cptcovage;kk++) {            for (kk=1; kk<=cptcovage;kk++) {
             cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];              cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
           }            }
           out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                        1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
Line 1737  double func( double *x) Line 4298  double func( double *x)
     } /* end of individual */      } /* end of individual */
   }  else if(mle==3){  /* exponential inter-extrapolation */    }  else if(mle==3){  /* exponential inter-extrapolation */
     for (i=1,ipmx=0, sw=0.; i<=imx; i++){      for (i=1,ipmx=0, sw=0.; i<=imx; i++){
       for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];        for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
       for(mi=1; mi<= wav[i]-1; mi++){        for(mi=1; mi<= wav[i]-1; mi++){
         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++){
Line 1746  double func( double *x) Line 4307  double func( double *x)
           }            }
         for(d=0; d<dh[mi][i]; d++){          for(d=0; d<dh[mi][i]; d++){
           newm=savm;            newm=savm;
           cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;            agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
             cov[2]=agexact;
             if(nagesqr==1)
               cov[3]= agexact*agexact;
           for (kk=1; kk<=cptcovage;kk++) {            for (kk=1; kk<=cptcovage;kk++) {
             cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];              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 */
               else
                 cov[Tage[kk]+2+nagesqr]=cotvar[mw[mi][i]][Tvar[Tage[kk]]][i]*agexact; /* because cotvar starts now at first ncovcol+nqv+ (1 to nqtv) */ 
           }            }
           out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                        1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
Line 1767  double func( double *x) Line 4334  double func( double *x)
     } /* end of individual */      } /* end of individual */
   }else if (mle==4){  /* ml=4 no inter-extrapolation */    }else if (mle==4){  /* ml=4 no inter-extrapolation */
     for (i=1,ipmx=0, sw=0.; i<=imx; i++){      for (i=1,ipmx=0, sw=0.; i<=imx; i++){
       for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];        for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
       for(mi=1; mi<= wav[i]-1; mi++){        for(mi=1; mi<= wav[i]-1; mi++){
         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++){
Line 1776  double func( double *x) Line 4343  double func( double *x)
           }            }
         for(d=0; d<dh[mi][i]; d++){          for(d=0; d<dh[mi][i]; d++){
           newm=savm;            newm=savm;
           cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;            agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
             cov[2]=agexact;
             if(nagesqr==1)
               cov[3]= agexact*agexact;
           for (kk=1; kk<=cptcovage;kk++) {            for (kk=1; kk<=cptcovage;kk++) {
             cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];              cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
           }            }
                   
           out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
Line 1791  double func( double *x) Line 4361  double func( double *x)
         s2=s[mw[mi+1][i]][i];          s2=s[mw[mi+1][i]][i];
         if( s2 > nlstate){           if( s2 > nlstate){ 
           lli=log(out[s1][s2] - savm[s1][s2]);            lli=log(out[s1][s2] - savm[s1][s2]);
           } else if  ( s2==-1 ) { /* alive */
             for (j=1,survp=0. ; j<=nlstate; j++) 
               survp += out[s1][j];
             lli= log(survp);
         }else{          }else{
           lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */            lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
         }          }
         ipmx +=1;          ipmx +=1;
         sw += weight[i];          sw += weight[i];
         ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;          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("num[i]=%09ld, 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",num[i],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])); */
       } /* end of wave */        } /* end of wave */
     } /* end of individual */      } /* end of individual */
   }else{  /* ml=5 no inter-extrapolation no jackson =0.8a */    }else{  /* ml=5 no inter-extrapolation no jackson =0.8a */
     for (i=1,ipmx=0, sw=0.; i<=imx; i++){      for (i=1,ipmx=0, sw=0.; i<=imx; i++){
       for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];        for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
       for(mi=1; mi<= wav[i]-1; mi++){        for(mi=1; mi<= wav[i]-1; mi++){
         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++){
Line 1811  double func( double *x) Line 4385  double func( double *x)
           }            }
         for(d=0; d<dh[mi][i]; d++){          for(d=0; d<dh[mi][i]; d++){
           newm=savm;            newm=savm;
           cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;            agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
             cov[2]=agexact;
             if(nagesqr==1)
               cov[3]= agexact*agexact;
           for (kk=1; kk<=cptcovage;kk++) {            for (kk=1; kk<=cptcovage;kk++) {
             cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];              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 */
               else
                 cov[Tage[kk]+2+nagesqr]=cotvar[mw[mi][i]][Tvar[Tage[kk]]][i]*agexact; /* because cotvar starts now at first ncovcol+nqv+ (1 to nqtv) */ 
           }            }
                   
           out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
Line 1841  double func( double *x) Line 4421  double func( double *x)
 /*************** log-likelihood *************/  /*************** log-likelihood *************/
 double funcone( double *x)  double funcone( double *x)
 {  {
   /* Same as likeli but slower because of a lot of printf and if */    /* 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, kv=0, kf=0;
     int ioffset=0;
     int ipos=0,iposold=0,ncovv=0;
   
     double cotvarv, cotvarvold;
   double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1];    double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1];
   double **out;    double **out;
   double lli; /* Individual log likelihood */    double lli; /* Individual log likelihood */
   double llt;    double llt;
   int s1, s2;    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;    double bbh, survp;
     double agexact;
     double agebegin, ageend;
   /*extern weight */    /*extern weight */
   /* We are differentiating ll according to initial status */    /* We are differentiating ll according to initial status */
   /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/    /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
Line 1858  double funcone( double *x) Line 4446  double funcone( double *x)
   cov[1]=1.;    cov[1]=1.;
   
   for(k=1; k<=nlstate; k++) ll[k]=0.;    for(k=1; k<=nlstate; k++) ll[k]=0.;
     ioffset=0;
   for (i=1,ipmx=0, sw=0.; i<=imx; i++){    for (i=1,ipmx=0, sw=0.; i<=imx; i++){
     for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];      /* Computes the values of the ncovmodel covariates of the model
     for(mi=1; mi<= wav[i]-1; mi++){         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 (kf=1; kf<=ncovf;kf++){ /*  V2  +  V3  +  V4  Simple and product fixed covariates without age* products *//* Missing values are set to -1 but should be dropped */
         /* printf("Debug3 TvarFind[%d]=%d",kf, TvarFind[kf]); */
         /* printf(" Tvar[TvarFind[kf]]=%d", Tvar[TvarFind[kf]]); */
         /* printf(" i=%d covar[Tvar[TvarFind[kf]]][i]=%f\n",i,covar[Tvar[TvarFind[kf]]][i]); */
         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  */
   /*    cov[TvarFind[2]]=covar[Tvar[TvarFind[2]]][i];  */
   /*    cov[2+7]=covar[Tvar[7]][i];  */
   /*    cov[2+7]=covar[7][i]; V7=V1*V2  */
   /*    cov[TvarFind[3]]=covar[Tvar[TvarFind[3]]][i];  */
   /*    cov[2+9]=covar[Tvar[9]][i];  */
   /*    cov[2+9]=covar[1][i]; V1  */
       }
         /* In model V2+V1*V4+age*V3+V3*V2 Tvar[1] is V2, Tvar[2=V1*V4] 
            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
            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 in the DATA is the cotvar[mw[mi+1][i]][ncovcol+nqv+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) *//* V1+V3+age*V1+age*V3+V1*V3 with V4 tv and V5 tvq k= 1 to 5 and extra at V(5+1)=6 for V1*V3 */
         /* for(k=1; k <= ncovv ; k++){ /\* Varying  covariates (single and product but no age )*\/ */
         /*        /\* cov[ioffset+TvarVind[k]]=cotvar[mw[mi][i]][Tvar[TvarVind[k]]][i]; *\/ */
         /*        cov[ioffset+TvarVind[k]]=cotvar[mw[mi][i]][Tvar[TvarVind[k]]-ncovcol-nqv][i]; */
         /* } */
         
         /*#  ID           V1     V2          weight               birth   death   1st    s1      V3      V4      V5       2nd  s2 */
         /* model V1+V3+age*V1+age*V3+V1*V3 */
         /*  Tvar={1, 3, 1, 3, 6}, the 6 comes from the fact that there are already V1, V2, V3, V4, V5 native covariates */
         /*  TvarVV[1]=V3 (first time varying in the model equation, TvarVV[2]=V1 (in V1*V3) TvarVV[3]=3(V3)  */
         /* We need the position of the time varying or product in the model */
         /* TvarVVind={2,5,5}, for V3 at position 2 and then the product V1*V3 is decomposed into V1 and V3 but at same position 5 */             
         /* TvarVV gives the variable name */
         /* Other example V1 + V3 + V5 + age*V1  + age*V3 + age*V5 + V1*V3  + V3*V5  + V1*V5 
         *      k=         1   2     3     4         5        6        7       8        9
         *  varying            1     2                                 3       4        5
         *  ncovv              1     2                                3 4     5 6      7 8
         * TvarVV[ncovv]      V3     5                                1 3     3 5      1 5
         * TvarVVind           2     3                                7 7     8 8      9 9
         * TvarFind[k]     1   0     0     0         0        0        0       0        0
         */
         /* Other model ncovcol=5 nqv=0 ntv=3 nqtv=0 nlstate=3
          * V2 V3 V4 are fixed V6 V7 are timevarying so V8 and V5 are not in the model and product column will start at 9 Tvar[(v6*V2)6]=9
           * FixedV[ncovcol+qv+ntv+nqtv]       V5
           * 3           V1  V2     V3    V4   V5 V6     V7  V8 V3*V2 V7*V2  V6*V3 V7*V3 V6*V4 V7*V4
           *             0   0      0      0    0  1      1   1  0, 0, 1,1,   1, 0, 1, 0, 1, 0, 1, 0}
           * 3           0   0      0      0    0  1      1   1  0,     1      1    1      1    1}
           * model=          V2  +  V3  +  V4  +  V6  +  V7  +  V6*V2  +  V7*V2  +  V6*V3  +  V7*V3  +  V6*V4  +  V7*V4  
           *                +age*V2 +age*V3 +age*V4 +age*V6 + age*V7
           *                +age*V6*V2 + age*V6*V3 +age*V7*V3 + age*V6*V4 +age*V7*V4
           * model2=          V2  +  V3  +  V4  +  V6  +  V7  +  V3*V2  +  V7*V2  +  V6*V3  +  V7*V3  +  V6*V4  +  V7*V4  
           *                +age*V2 +age*V3 +age*V4 +age*V6 + age*V7
           *                +age*V3*V2 + age*V6*V3 +age*V7*V3 + age*V6*V4 +age*V7*V4
           * model3=          V2  +  V3  +  V4  +  V6  +  V7  + age*V3*V2  +  V7*V2  +  V6*V3  +  V7*V3  +  V6*V4  +  V7*V4  
           *                +age*V2 +age*V3 +age*V4 +age*V6 + age*V7
           *                +V3*V2 + age*V6*V3 +age*V7*V3 + age*V6*V4 +age*V7*V4
           * kmodel           1     2      3      4      5        6         7         8         9        10        11    
           *                  12       13      14      15       16
           *                    17        18         19        20         21
           * Tvar[kmodel]     2     3      4      6      7        9        10        11        12        13        14
           *                   2       3        4       6        7
           *                     9         11          12        13         14            
           * cptcovage=5+5 total of covariates with age 
           * Tage[cptcovage] age*V2=12      13      14      15       16
           *1                   17            18         19        20         21 gives the position in model of covariates associated with age
           *3 Tage[cptcovage] age*V3*V2=6  
           *3                age*V2=12         13      14      15       16
           *3                age*V6*V3=18      19    20   21
           * Tvar[Tage[cptcovage]]    Tvar[12]=2      3      4       6         Tvar[16]=7(age*V7)
           *     Tvar[17]age*V6*V2=9      Tvar[18]age*V6*V3=11  age*V7*V3=12         age*V6*V4=13        Tvar[21]age*V7*V4=14
           * 2   Tvar[17]age*V3*V2=9      Tvar[18]age*V6*V3=11  age*V7*V3=12         age*V6*V4=13        Tvar[21]age*V7*V4=14
           * 3 Tvar[Tage[cptcovage]]    Tvar[6]=9      Tvar[12]=2      3     4       6         Tvar[16]=7(age*V7)
           * 3     Tvar[18]age*V6*V3=11  age*V7*V3=12         age*V6*V4=13        Tvar[21]age*V7*V4=14
           * 3 Tage[cptcovage] age*V3*V2=6   age*V2=12 age*V3 13    14      15       16
           *                    age*V6*V3=18         19        20         21 gives the position in model of covariates associated with age
           * 3   Tvar[17]age*V3*V2=9      Tvar[18]age*V6*V3=11  age*V7*V3=12         age*V6*V4=13        Tvar[21]age*V7*V4=14
           * Tvar=                {2, 3, 4, 6, 7,
           *                       9, 10, 11, 12, 13, 14,
           *              Tvar[12]=2, 3, 4, 6, 7,
           *              Tvar[17]=9, 11, 12, 13, 14}
           * Typevar[1]@21 = {0, 0, 0, 0, 0,
           *                  2, 2, 2, 2, 2, 2,
           * 3                3, 2, 2, 2, 2, 2,
           *                  1, 1, 1, 1, 1, 
           *                  3, 3, 3, 3, 3}
           * 3                 2, 3, 3, 3, 3}
           * p Tposprod[1]@21 {0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 6, 0, 0, 0, 0, 0, 1, 3, 4, 5, 6} Id of the prod at position k in the model
           * p Tprod[1]@21 {6, 7, 8, 9, 10, 11, 0 <repeats 15 times>}
           * 3 Tposprod[1]@21 {0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 6, 0, 0, 0, 0, 0, 1, 3, 4, 5, 6}
           * 3 Tprod[1]@21 {17, 7, 8, 9, 10, 11, 0 <repeats 15 times>}
           * cptcovprod=11 (6+5)
           * FixedV[Tvar[Tage[cptcovage]]]]  FixedV[2]=0      FixedV[3]=0      0      1          (age*V7)Tvar[16]=1 FixedV[absolute] not [kmodel]
           *   FixedV[Tvar[17]=FixedV[age*V6*V2]=FixedV[9]=1        1         1          1         1  
           * 3 FixedV[Tvar[17]=FixedV[age*V3*V2]=FixedV[9]=0        [11]=1         1          1         1  
           * FixedV[]          V1=0     V2=0   V3=0  v4=0    V5=0  V6=1    V7=1 v8=1  OK then model dependent
           *                   9=1  [V7*V2]=[10]=1 11=1  12=1  13=1  14=1
           * 3                 9=0  [V7*V2]=[10]=1 11=1  12=1  13=1  14=1
           * cptcovdageprod=5  for gnuplot printing
           * cptcovprodvage=6 
           * ncova=15           1        2       3       4       5
           *                      6 7        8 9      10 11        12 13     14 15
           * TvarA              2        3       4       6       7
           *                      6 2        6 7       7 3          6 4       7 4
           * TvaAind             12 12      13 13     14 14      15 15       16 16        
           * ncovf            1     2      3
           *                                    V6       V7      V6*V2     V7*V2     V6*V3     V7*V3     V6*V4     V7*V4
           * ncovvt=14                            1      2        3 4       5 6       7 8       9 10     11 12     13 14     
           * TvarVV[1]@14 = itv               {V6=6,     7, V6*V2=6, 2,     7, 2,     6, 3,     7, 3,     6, 4,     7, 4}
           * TvarVVind[1]@14=                    {4,     5,       6, 6,     7, 7,     8, 8,      9, 9,   10, 10,   11, 11}
           * 3 ncovvt=12                        V6       V7      V7*V2     V6*V3     V7*V3     V6*V4     V7*V4
           * 3 TvarVV[1]@12 = itv                {6,     7, V7*V2=7, 2,     6, 3,     7, 3,     6, 4,     7, 4}
           * 3                                    1      2        3  4      5  6      7  8      9 10     11 12
           * TvarVVind[1]@12=         {V6 is in k=4,     5,  7,(4isV2)=7,   8, 8,      9, 9,   10,10,    11,11}TvarVVind[12]=k=11
           * TvarV              6, 7, 9, 10, 11, 12, 13, 14
           * 3 cptcovprodvage=6
           * 3 ncovta=15    +age*V3*V2+age*V2+agev3+ageV4 +age*V6 + age*V7 + age*V6*V3 +age*V7*V3 + age*V6*V4 +age*V7*V4
           * 3 TvarAVVA[1]@15= itva 3 2    2      3    4        6       7        6 3         7 3         6 4         7 4 
           * 3 ncovta             1 2      3      4    5        6       7        8 9       10 11       12 13        14 15
           *?TvarAVVAind[1]@15= V3 is in k=2 1 1  2    3        4       5        4,2         5,2,      4,3           5 3}TvarVVAind[]
           * TvarAVVAind[1]@15= V3 is in k=6 6 12  13   14      15      16       18 18       19,19,     20,20        21,21}TvarVVAind[]
           * 3 ncovvta=10     +age*V6 + age*V7 + age*V6*V3 +age*V7*V3 + age*V6*V4 +age*V7*V4
           * 3 we want to compute =cotvar[mw[mi][i]][TvarVVA[ncovva]][i] at position TvarVVAind[ncovva]
           * 3 TvarVVA[1]@10= itva   6       7        6 3         7 3         6 4         7 4 
           * 3 ncovva                1       2        3 4         5 6         7 8         9 10
           * TvarVVAind[1]@10= V6 is in k=4  5        8,8         9, 9,      10,10        11 11}TvarVVAind[]
           * TvarVVAind[1]@10=       15       16     18,18        19,19,      20,20        21 21}TvarVVAind[]
           * TvarVA              V3*V2=6 6 , 1, 2, 11, 12, 13, 14
           * TvarFind[1]@14= {1,    2,     3,     0 <repeats 12 times>}
           * Tvar[1]@21=     {2,    3,     4,    6,      7,      9,      10,        11,       12,      13,       14,
           *                   2, 3, 4, 6, 7,
           *                     6, 8, 9, 10, 11}
           * TvarFind[itv]                        0      0       0
           * FixedV[itv]                          1      1       1  0      1 0       1 0       1 0       0
           *? FixedV[itv]                          1      1       1  0      1 0       1 0       1 0      1 0     1 0
           * Tvar[TvarFind[ncovf]]=[1]=2 [2]=3 [4]=4
           * Tvar[TvarFind[itv]]                [0]=?      ?ncovv 1 à ncovvt]
           *   Not a fixed cotvar[mw][itv][i]     6       7      6  2      7, 2,     6, 3,     7, 3,     6, 4,     7, 4}
           *   fixed covar[itv]                  [6]     [7]    [6][2] 
           */
   
         for(ncovv=1, iposold=0; ncovv <= ncovvt ; ncovv++){ /*  V6       V7      V7*V2     V6*V3     V7*V3     V6*V4     V7*V4 Time varying  covariates (single and extended product but no age) including individual from products, product is computed dynamically */
           itv=TvarVV[ncovv]; /*  TvarVV={3, 1, 3} gives the name of each varying covariate, or fixed covariate of a varying product after exploding product Vn*Vm into Vn and then Vm  */
           ipos=TvarVVind[ncovv]; /* TvarVVind={2, 5, 5] gives the position in the model of the ncovv th varying covariate*/
           /* if(TvarFind[itv]==0){ /\* Not a fixed covariate? Could be a fixed covariate of a product with a higher than ncovcol+nqv, itv *\/ */
           if(FixedV[itv]!=0){ /* Not a fixed covariate? Could be a fixed covariate of a product with a higher than ncovcol+nqv, itv */
             /* printf("DEBUG ncovv=%d, Varying TvarVV[ncovv]=%d\n",ncovv, TvarVV[ncovv]); */
             cotvarv=cotvar[mw[mi][i]][TvarVV[ncovv]][i];  /* because cotvar starts now at first ncovcol+nqv+ntv+nqtv (1 to nqtv) */ 
             /* printf("DEBUG Varying cov[ioffset+ipos=%d]=%g \n",ioffset+ipos,cotvarv); */
           }else{ /* fixed covariate */
             /* cotvarv=covar[Tvar[TvarFind[itv]]][i];  /\* Error: TvarFind gives the name, that is the true column of fixed covariates, but Tvar of the model *\/ */
             /* printf("DEBUG ncovv=%d, Fixed TvarVV[ncovv]=%d\n",ncovv, TvarVV[ncovv]); */
             cotvarv=covar[itv][i];  /* Good: In V6*V3, 3 is fixed at position of the data */
             /* printf("DEBUG Fixed cov[ioffset+ipos=%d]=%g \n",ioffset+ipos,cotvarv); */
           }
           if(ipos!=iposold){ /* Not a product or first of a product */
             cotvarvold=cotvarv;
           }else{ /* A second product */
             cotvarv=cotvarv*cotvarvold;
           }
           iposold=ipos;
           cov[ioffset+ipos]=cotvarv;
           /* printf("DEBUG Product cov[ioffset+ipos=%d] \n",ioffset+ipos); */
           /* For products */
         }
         /* for(itv=1; itv <= ntveff; itv++){ /\* Varying dummy covariates single *\/ */
         /*        iv=TvarVDind[itv]; /\* iv, position in the model equation of time varying covariate itv *\/ */
         /*        /\*         "V1+V3+age*V1+age*V3+V1*V3" with V3 time varying *\/ */
         /*        /\*           1  2   3      4      5                         *\/ */
         /*        /\*itv           1                                           *\/ */
         /*        /\* TvarVInd[1]= 2                                           *\/ */
         /*        /\* iv= Tvar[Tmodelind[itv]]-ncovcol-nqv;  /\\* Counting the # varying covariate from 1 to ntveff *\\/ *\/ */
         /*        /\* iv= Tvar[Tmodelind[ioffset-2-nagesqr-cptcovage+itv]]-ncovcol-nqv; *\/ */
         /*        /\* cov[ioffset+iv]=cotvar[mw[mi][i]][iv][i]; *\/ */
         /*        /\* k=ioffset-2-nagesqr-cptcovage+itv; /\\* position in simple model *\\/ *\/ */
         /*        /\* cov[ioffset+iv]=cotvar[mw[mi][i]][TmodelInvind[itv]][i]; *\/ */
         /*        cov[ioffset+iv]=cotvar[mw[mi][i]][itv][i]; */
         /*        /\* printf(" i=%d,mi=%d,itv=%d,TmodelInvind[itv]=%d,cotvar[mw[mi][i]][itv][i]=%f\n", i, mi, itv, TvarVDind[itv],cotvar[mw[mi][i]][itv][i]); *\/ */
         /* } */
         /* for(iqtv=1; iqtv <= nqtveff; iqtv++){ /\* Varying quantitatives covariates *\/ */
         /*        iv=TmodelInvQind[iqtv]; /\* Counting the # varying covariate from 1 to ntveff *\/ */
         /*        /\* printf(" i=%d,mi=%d,iqtv=%d,TmodelInvQind[iqtv]=%d,cotqvar[mw[mi][i]][TmodelInvQind[iqtv]][i]=%f\n", i, mi, iqtv, TmodelInvQind[iqtv],cotqvar[mw[mi][i]][TmodelInvQind[iqtv]][i]); *\/ */
         /*        cov[ioffset+ntveff+iqtv]=cotqvar[mw[mi][i]][TmodelInvQind[iqtv]][i]; */
         /* } */
       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);            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
           savm[ii][j]=(ii==j ? 1.0 : 0.0);            savm[ii][j]=(ii==j ? 1.0 : 0.0);
         }          }
       for(d=0; d<dh[mi][i]; d++){        
         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++){  /* Delay between two effective waves */
         /* for(d=0; d<=0; d++){  /\* Delay between two effective waves Only one matrix to speed up*\/ */
           /*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.*/
         newm=savm;          newm=savm;
         cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;  /* Here d is needed */
         for (kk=1; kk<=cptcovage;kk++) {          cov[2]=agexact;
           cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];          if(nagesqr==1)
             cov[3]= agexact*agexact;
           for(ncovva=1, iposold=0; ncovva <= ncovta ; ncovva++){ /* Time varying  covariates with age including individual from products, product is computed dynamically */
             itv=TvarAVVA[ncovva]; /*  TvarVV={3, 1, 3} gives the name of each varying covariate, exploding product Vn*Vm into Vn and then Vm  */
             ipos=TvarAVVAind[ncovva]; /* TvarVVind={2, 5, 5] gives the position in the model of the ncovv th varying covariate*/
             /* if(TvarFind[itv]==0){ /\* Not a fixed covariate? Could be a fixed covariate of a product with a higher than ncovcol+nqv, itv *\/ */
             if(FixedV[itv]!=0){ /* Not a fixed covariate? Could be a fixed covariate of a product with a higher than ncovcol+nqv, itv */
               /* printf("DEBUG  ncovva=%d, Varying TvarAVVA[ncovva]=%d\n", ncovva, TvarAVVA[ncovva]); */
               cotvarv=cotvar[mw[mi][i]][TvarAVVA[ncovva]][i];  /* because cotvar starts now at first ncovcol+nqv+ntv+nqtv (1 to nqtv) */ 
             }else{ /* fixed covariate */
               /* cotvarv=covar[Tvar[TvarFind[itv]]][i];  /\* Error: TvarFind gives the name, that is the true column of fixed covariates, but Tvar of the model *\/ */
               /* printf("DEBUG ncovva=%d, Fixed TvarAVVA[ncovva]=%d\n", ncovva, TvarAVVA[ncovva]); */
               cotvarv=covar[itv][i];  /* Error: TvarFind gives the name, that is the true column of fixed covariates, but Tvar of the model */
             }
             if(ipos!=iposold){ /* Not a product or first of a product */
               cotvarvold=cotvarv;
             }else{ /* A second product */
               /* printf("DEBUG * \n"); */
               cotvarv=cotvarv*cotvarvold;
             }
             iposold=ipos;
             /* printf("DEBUG Product cov[ioffset+ipos=%d] \n",ioffset+ipos); */
             cov[ioffset+ipos]=cotvarv*agexact;
             /* For products */
         }          }
   
           /* printf("i=%d,mi=%d,d=%d,mw[mi][i]=%d\n",i, mi,d,mw[mi][i]); */
         /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */          /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
         out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                      1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
Line 1881  double funcone( double *x) Line 4706  double funcone( double *x)
         savm=oldm;          savm=oldm;
         oldm=newm;          oldm=newm;
       } /* end mult */        } /* 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];        s1=s[mw[mi][i]][i];
       s2=s[mw[mi+1][i]][i];        s2=s[mw[mi+1][i]][i];
         /* if(s2==-1){ */
         /*        printf(" ERROR s1=%d, s2=%d i=%d \n", s1, s2, i); */
         /*        /\* exit(1); *\/ */
         /* } */
       bbh=(double)bh[mi][i]/(double)stepm;         bbh=(double)bh[mi][i]/(double)stepm; 
       /* bias is positive if real duration        /* bias is positive if real duration
        * is higher than the multiple of stepm and negative otherwise.         * is higher than the multiple of stepm and negative otherwise.
        */         */
       if( s2 > nlstate && (mle <5) ){  /* Jackson */        if( s2 > nlstate && (mle <5) ){  /* Jackson */
         lli=log(out[s1][s2] - savm[s1][s2]);          lli=log(out[s1][s2] - savm[s1][s2]);
       } else if  (s2==-2) {        } else if  ( s2==-1 ) { /* alive */
         for (j=1,survp=0. ; j<=nlstate; j++)           for (j=1,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);
Line 1909  double funcone( double *x) Line 4750  double funcone( double *x)
       ipmx +=1;        ipmx +=1;
       sw += weight[i];        sw += weight[i];
       ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;        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]); */        /* Printing covariates values for each contribution for checking */
         /* printf("num[i]=%09ld, 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",num[i],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){        if(globpr){
         fprintf(ficresilk,"%9ld %6d %2d %2d %1d %1d %3d %11.6f %8.4f\          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 ", \   %11.6f %11.6f %11.6f ", \
                 num[i],i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],                  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,out[s1][s2],savm[s1][s2]);                  2*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++){          for(k=1,llt=0.,l=0.; k<=nlstate; k++){
           llt +=ll[k]*gipmx/gsw;            llt +=ll[k]*gipmx/gsw;
           fprintf(ficresilk," %10.6f",-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);          fprintf(ficresilk," %10.6f ", -llt);
       }          /* printf(" %10.6f\n", -llt); */
           /* if(debugILK){ /\* debugILK is set by a #d in a comment line *\/ */
           /* fprintf(ficresilk,"%09ld ", num[i]); */ /* not necessary */
           for (kf=1; kf<=ncovf;kf++){ /* Simple and product fixed covariates without age* products *//* Missing values are set to -1 but should be dropped */
             fprintf(ficresilk," %g",covar[Tvar[TvarFind[kf]]][i]);
           }
           for(ncovv=1, iposold=0; ncovv <= ncovvt ; ncovv++){ /* Varying  covariates (single and product but no age) including individual from products */
             ipos=TvarVVind[ncovv]; /* TvarVVind={2, 5, 5] gives the position in the model of the ncovv th varying covariate*/
             if(ipos!=iposold){ /* Not a product or first of a product */
               fprintf(ficresilk," %g",cov[ioffset+ipos]);
               /* printf(" %g",cov[ioffset+ipos]); */
             }else{
               fprintf(ficresilk,"*");
               /* printf("*"); */
             }
             iposold=ipos;
           }
           /* for (kk=1; kk<=cptcovage;kk++) { */
           /*   if(!FixedV[Tvar[Tage[kk]]]){ */
           /*     fprintf(ficresilk," %g*age",covar[Tvar[Tage[kk]]][i]); */
           /*     /\* printf(" %g*age",covar[Tvar[Tage[kk]]][i]); *\/ */
           /*   }else{ */
           /*     fprintf(ficresilk," %g*age",cotvar[mw[mi][i]][Tvar[Tage[kk]]][i]);/\* because cotvar starts now at first ncovcol+nqv+ (1 to nqtv) *\/  */
           /*     /\* printf(" %g*age",cotvar[mw[mi][i]][Tvar[Tage[kk]]][i]);/\\* because cotvar starts now at first ncovcol+nqv+ (1 to nqtv) *\\/  *\/ */
           /*   } */
           /* } */
           for(ncovva=1, iposold=0; ncovva <= ncovta ; ncovva++){ /* Time varying  covariates with age including individual from products, product is computed dynamically */
             itv=TvarAVVA[ncovva]; /*  TvarVV={3, 1, 3} gives the name of each varying covariate, exploding product Vn*Vm into Vn and then Vm  */
             ipos=TvarAVVAind[ncovva]; /* TvarVVind={2, 5, 5] gives the position in the model of the ncovv th varying covariate*/
             /* if(TvarFind[itv]==0){ /\* Not a fixed covariate? Could be a fixed covariate of a product with a higher than ncovcol+nqv, itv *\/ */
             if(FixedV[itv]!=0){ /* Not a fixed covariate? Could be a fixed covariate of a product with a higher than ncovcol+nqv, itv */
               /* printf("DEBUG  ncovva=%d, Varying TvarAVVA[ncovva]=%d\n", ncovva, TvarAVVA[ncovva]); */
               cotvarv=cotvar[mw[mi][i]][TvarAVVA[ncovva]][i];  /* because cotvar starts now at first ncovcol+nqv+ntv+nqtv (1 to nqtv) */ 
             }else{ /* fixed covariate */
               /* cotvarv=covar[Tvar[TvarFind[itv]]][i];  /\* Error: TvarFind gives the name, that is the true column of fixed covariates, but Tvar of the model *\/ */
               /* printf("DEBUG ncovva=%d, Fixed TvarAVVA[ncovva]=%d\n", ncovva, TvarAVVA[ncovva]); */
               cotvarv=covar[itv][i];  /* Error: TvarFind gives the name, that is the true column of fixed covariates, but Tvar of the model */
             }
             if(ipos!=iposold){ /* Not a product or first of a product */
               cotvarvold=cotvarv;
             }else{ /* A second product */
               /* printf("DEBUG * \n"); */
               cotvarv=cotvarv*cotvarvold;
             }
             cotvarv=cotvarv*agexact;
             fprintf(ficresilk," %g*age",cotvarv);
             iposold=ipos;
             /* printf("DEBUG Product cov[ioffset+ipos=%d] \n",ioffset+ipos); */
             cov[ioffset+ipos]=cotvarv;
             /* For products */
           }
           /* printf("\n"); */
           /* } /\*  End debugILK *\/ */
           fprintf(ficresilk,"\n");
         } /* End if globpr */
     } /* 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]); */  /* 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;
Line 1935  double funcone( double *x) Line 4836  double funcone( double *x)
   
   
 /*************** function likelione ***********/  /*************** 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     /* This routine should help understanding what is done with 
      the selection of individuals/waves and       the selection of individuals/waves and
      to check the exact contribution to the likelihood.       to check the exact contribution to the likelihood.
      Plotting could be done.       Plotting could be done.
    */    */
   int k;    void pstamp(FILE *ficres);
     int k, kf, kk, kvar, ncovv, iposold, ipos;
   
   if(*globpri !=0){ /* Just counts and sums, no printings */    if(*globpri !=0){ /* Just counts and sums, no printings */
     strcpy(fileresilk,"ilk");       strcpy(fileresilk,"ILK_"); 
     strcat(fileresilk,fileres);      strcat(fileresilk,fileresu);
     if((ficresilk=fopen(fileresilk,"w"))==NULL) {      if((ficresilk=fopen(fileresilk,"w"))==NULL) {
       printf("Problem with resultfile: %s\n", fileresilk);        printf("Problem with resultfile: %s\n", fileresilk);
       fprintf(ficlog,"Problem with resultfile: %s\n", fileresilk);        fprintf(ficlog,"Problem with resultfile: %s\n", fileresilk);
     }      }
     fprintf(ficresilk, "#individual(line's_record) s1 s2 wave# effective_wave# number_of_matrices_product pij weight -2ln(pij)*weight 0pij_x 0pij_(x-stepm) cumulating_loglikeli_by_health_state(reweighted=-2ll*weightXnumber_of_contribs/sum_of_weights) and_total\n");      pstamp(ficresilk);fprintf(ficresilk,"# model=1+age+%s\n",model);
     fprintf(ficresilk, "#num_i i s1 s2 mi mw dh likeli weight 2wlli out sav ");      fprintf(ficresilk, "#individual(line's_record) count ageb ageend s1 s2 wave# effective_wave# number_of_matrices_product pij weight weight/gpw -2ln(pij)*weight 0pij_x 0pij_(x-stepm) cumulating_loglikeli_by_health_state(reweighted=-2ll*weightXnumber_of_contribs/sum_of_weights) and_total\n");
       fprintf(ficresilk, "#num_i ageb agend i s1 s2 mi mw dh likeli weight %%weight 2wlli out sav ");
     /*  i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],2*weight[i]*lli,out[s1][s2],savm[s1][s2]); */      /*  i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],2*weight[i]*lli,out[s1][s2],savm[s1][s2]); */
     for(k=1; k<=nlstate; k++)       for(k=1; k<=nlstate; k++) 
       fprintf(ficresilk," -2*gipw/gsw*weight*ll[%d]++",k);        fprintf(ficresilk," -2*gipw/gsw*weight*ll[%d]++",k);
     fprintf(ficresilk," -2*gipw/gsw*weight*ll(total)\n");      fprintf(ficresilk," -2*gipw/gsw*weight*ll(total) ");
   }  
       /* if(debugILK){ /\* debugILK is set by a #d in a comment line *\/ */
         for(kf=1;kf <= ncovf; kf++){
           fprintf(ficresilk,"V%d",Tvar[TvarFind[kf]]);
           /* printf("V%d",Tvar[TvarFind[kf]]); */
         }
         for(ncovv=1, iposold=0; ncovv <= ncovvt ; ncovv++){
           ipos=TvarVVind[ncovv]; /* TvarVVind={2, 5, 5] gives the position in the model of the ncovv th varying covariate */
           if(ipos!=iposold){ /* Not a product or first of a product */
             /* printf(" %d",ipos); */
             fprintf(ficresilk," V%d",TvarVV[ncovv]);
           }else{
             /* printf("*"); */
             fprintf(ficresilk,"*");
           }
           iposold=ipos;
         }
         for (kk=1; kk<=cptcovage;kk++) {
           if(!FixedV[Tvar[Tage[kk]]]){
             /* printf(" %d*age(Fixed)",Tvar[Tage[kk]]); */
             fprintf(ficresilk," %d*age(Fixed)",Tvar[Tage[kk]]);
           }else{
             fprintf(ficresilk," %d*age(Varying)",Tvar[Tage[kk]]);/* because cotvar starts now at first ncovcol+nqv+ (1 to nqtv) */ 
             /* printf(" %d*age(Varying)",Tvar[Tage[kk]]);/\* because cotvar starts now at first ncovcol+nqv+ (1 to nqtv) *\/  */
           }
         }
       /* } /\* End if debugILK *\/ */
       /* printf("\n"); */
       fprintf(ficresilk,"\n");
     } /* End glogpri */
   
   *fretone=(*funcone)(p);    *fretone=(*func)(p);
   if(*globpri !=0){    if(*globpri !=0){
     fclose(ficresilk);      fclose(ficresilk);
     fprintf(fichtm,"\n<br>File of contributions to the likelihood: <a href=\"%s\">%s</a><br>\n",subdirf(fileresilk),subdirf(fileresilk));      if (mle ==0)
     fflush(fichtm);         fprintf(fichtm,"\n<br>File of contributions to the likelihood computed with initial parameters and mle = %d.",mle);
   }       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); 
         
       fprintf(fichtm,"<br>- The function drawn is -2Log(L) in Log scale: by state of origin <a href=\"%s-ori.png\">%s-ori.png</a><br> \
   <img src=\"%s-ori.png\">\n",subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"));
       fprintf(fichtm,"<br>- and by state of destination <a href=\"%s-dest.png\">%s-dest.png</a><br> \
   <img src=\"%s-dest.png\">\n",subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"));
       
       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>\n \
   <img src=\"%s-p%dj.png\">\n",k,k,subdirf2(optionfilefiname,"ILK_"),k,subdirf2(optionfilefiname,"ILK_"),k,subdirf2(optionfilefiname,"ILK_"),k);
         for(kf=1; kf <= ncovf; kf++){ /* For each simple dummy covariate of the model */
            kvar=Tvar[TvarFind[kf]];  /* variable */
            fprintf(fichtm,"<br>- Probability p<sub>%dj</sub> by origin %d and destination j with colored covariate V%d. Same dot size of all points but with a different color for transitions with dummy variable V%d=1 at beginning of transition (keeping former color for V%d=0): ",k,k,Tvar[TvarFind[kf]],Tvar[TvarFind[kf]],Tvar[TvarFind[kf]]);
            fprintf(fichtm,"<a href=\"%s-p%dj-%d.png\">%s-p%dj-%d.png</a><br>",subdirf2(optionfilefiname,"ILK_"),k,kvar,subdirf2(optionfilefiname,"ILK_"),k,kvar);
            fprintf(fichtm,"<img src=\"%s-p%dj-%d.png\">",subdirf2(optionfilefiname,"ILK_"),k,Tvar[TvarFind[kf]]);
         }
         for(ncovv=1, iposold=0; ncovv <= ncovvt ; ncovv++){ /* Loop on the time varying extended covariates (with extension of Vn*Vm */
           ipos=TvarVVind[ncovv]; /* TvarVVind={2, 5, 5] gives the position in the model of the ncovv th varying covariate */
           kvar=TvarVV[ncovv]; /*  TvarVV={3, 1, 3} gives the name of each varying covariate */
           /* printf("DebugILK fichtm ncovv=%d, kvar=TvarVV[ncovv]=V%d, ipos=TvarVVind[ncovv]=%d, Dummy[ipos]=%d, Typevar[ipos]=%d\n", ncovv,kvar,ipos,Dummy[ipos],Typevar[ipos]); */
           if(ipos!=iposold){ /* Not a product or first of a product */
             /* fprintf(ficresilk," V%d",TvarVV[ncovv]); */
             /* printf(" DebugILK fichtm ipos=%d != iposold=%d\n", ipos, iposold); */
             if(Dummy[ipos]==0 && Typevar[ipos]==0){ /* Only if dummy time varying: Dummy(0, 1=quant singor prod without age,2 dummy*age, 3quant*age) Typevar (0 single, 1=*age,2=Vn*vm)  */
               fprintf(fichtm,"<br>- Probability p<sub>%dj</sub> by origin %d and destination j with colored time varying dummy covariate V%d. Same dot size of all points but with a different color for transitions with dummy variable V%d=1 at beginning of transition (keeping former color for V%d=0): <a href=\"%s-p%dj.png\">%s-p%dj.png</a><br> \
   <img src=\"%s-p%dj-%d.png\">",k,k,kvar,kvar,kvar,subdirf2(optionfilefiname,"ILK_"),k,subdirf2(optionfilefiname,"ILK_"),k,subdirf2(optionfilefiname,"ILK_"),k,kvar);
             } /* End only for dummies time varying (single?) */
           }else{ /* Useless product */
             /* printf("*"); */
             /* fprintf(ficresilk,"*"); */ 
           }
           iposold=ipos;
         } /* For each time varying covariate */
       } /* End loop on states */
   
   /*     if(debugILK){ */
   /*       for(kf=1; kf <= ncovf; kf++){ /\* For each simple dummy covariate of the model *\/ */
   /*      /\* kvar=Tvar[TvarFind[kf]]; *\/ /\* variable *\/ */
   /*      for (k=1; k<= nlstate ; k++) { */
   /*        fprintf(fichtm,"<br>- Probability p<sub>%dj</sub> by origin %d and destination j with colored covariate V%. Same dot size of all points but with a different color for transitions with dummy variable V%d=1 at beginning of transition (keeping former color for V%d=0): <a href=\"%s-p%dj.png\">%s-p%dj.png</a><br> \ */
   /* <img src=\"%s-p%dj-%d.png\">",k,k,Tvar[TvarFind[kf]],Tvar[TvarFind[kf]],Tvar[TvarFind[kf]],subdirf2(optionfilefiname,"ILK_"),k,subdirf2(optionfilefiname,"ILK_"),k,subdirf2(optionfilefiname,"ILK_"),k,Tvar[TvarFind[kf]]); */
   /*      } */
   /*       } */
   /*       for(ncovv=1, iposold=0; ncovv <= ncovvt ; ncovv++){ /\* Loop on the time varying extended covariates (with extension of Vn*Vm *\/ */
   /*      ipos=TvarVVind[ncovv]; /\* TvarVVind={2, 5, 5] gives the position in the model of the ncovv th varying covariate *\/ */
   /*      kvar=TvarVV[ncovv]; /\*  TvarVV={3, 1, 3} gives the name of each varying covariate *\/ */
   /*      /\* printf("DebugILK fichtm ncovv=%d, kvar=TvarVV[ncovv]=V%d, ipos=TvarVVind[ncovv]=%d, Dummy[ipos]=%d, Typevar[ipos]=%d\n", ncovv,kvar,ipos,Dummy[ipos],Typevar[ipos]); *\/ */
   /*      if(ipos!=iposold){ /\* Not a product or first of a product *\/ */
   /*        /\* fprintf(ficresilk," V%d",TvarVV[ncovv]); *\/ */
   /*        /\* printf(" DebugILK fichtm ipos=%d != iposold=%d\n", ipos, iposold); *\/ */
   /*        if(Dummy[ipos]==0 && Typevar[ipos]==0){ /\* Only if dummy time varying: Dummy(0, 1=quant singor prod without age,2 dummy*age, 3quant*age) Typevar (0 single, 1=*age,2=Vn*vm)  *\/ */
   /*          for (k=1; k<= nlstate ; k++) { */
   /*            fprintf(fichtm,"<br>- Probability p<sub>%dj</sub> by origin %d and destination j. Same dot size of all points but with a different color for transitions with dummy variable V%d=1 at beginning of transition (keeping former color for V%d=0): <a href=\"%s-p%dj.png\">%s-p%dj.png</a><br> \ */
   /* <img src=\"%s-p%dj-%d.png\">",k,k,kvar,kvar,subdirf2(optionfilefiname,"ILK_"),k,subdirf2(optionfilefiname,"ILK_"),k,subdirf2(optionfilefiname,"ILK_"),k,kvar); */
   /*          } /\* End state *\/ */
   /*        } /\* End only for dummies time varying (single?) *\/ */
   /*      }else{ /\* Useless product *\/ */
   /*        /\* printf("*"); *\/ */
   /*        /\* fprintf(ficresilk,"*"); *\/  */
   /*      } */
   /*      iposold=ipos; */
   /*       } /\* For each time varying covariate *\/ */
   /*     }/\* End debugILK *\/ */
       fflush(fichtm);
     }/* End globpri */
   return;    return;
 }  }
   
Line 1973  void likelione(FILE *ficres,double p[], Line 4972  void likelione(FILE *ficres,double p[],
   
 void mlikeli(FILE *ficres,double p[], int npar, int ncovmodel, int nlstate, double ftol, double (*func)(double []))  void mlikeli(FILE *ficres,double p[], int npar, int ncovmodel, int nlstate, double ftol, double (*func)(double []))
 {  {
   int i,j, iter;    int i,j,k, jk, jkk=0, iter=0;
   double **xi;    double **xi;
   double fret;    double fret;
   double fretone; /* Only one call to likelihood */    double fretone; /* Only one call to likelihood */
   /*  char filerespow[FILENAMELENGTH];*/    /*  char filerespow[FILENAMELENGTH];*/
     
     double * p1; /* Shifted parameters from 0 instead of 1 */
   #ifdef NLOPT
     int creturn;
     nlopt_opt opt;
     /* double lb[9] = { -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL }; /\* lower bounds *\/ */
     double *lb;
     double minf; /* the minimum objective value, upon return */
   
     myfunc_data dinst, *d = &dinst;
   #endif
   
   
   xi=matrix(1,npar,1,npar);    xi=matrix(1,npar,1,npar);
   for (i=1;i<=npar;i++)    for (i=1;i<=npar;i++)  /* Starting with canonical directions j=1,n xi[i=1,n][j] */
     for (j=1;j<=npar;j++)      for (j=1;j<=npar;j++)
       xi[i][j]=(i==j ? 1.0 : 0.0);        xi[i][j]=(i==j ? 1.0 : 0.0);
   printf("Powell\n");  fprintf(ficlog,"Powell\n");    printf("Powell\n");  fprintf(ficlog,"Powell\n");
   strcpy(filerespow,"pow");     strcpy(filerespow,"POW_"); 
   strcat(filerespow,fileres);    strcat(filerespow,fileres);
   if((ficrespow=fopen(filerespow,"w"))==NULL) {    if((ficrespow=fopen(filerespow,"w"))==NULL) {
     printf("Problem with resultfile: %s\n", filerespow);      printf("Problem with resultfile: %s\n", filerespow);
Line 1994  void mlikeli(FILE *ficres,double p[], in Line 5006  void mlikeli(FILE *ficres,double p[], in
     for(j=1;j<=nlstate+ndeath;j++)      for(j=1;j<=nlstate+ndeath;j++)
       if(j!=i)fprintf(ficrespow," p%1d%1d",i,j);        if(j!=i)fprintf(ficrespow," p%1d%1d",i,j);
   fprintf(ficrespow,"\n");    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);    powell(p,xi,npar,ftol,&iter,&fret,func);
   #endif  /* FLATSUP */
   
   #ifdef LINMINORIGINAL
   #else
         free_ivector(flatdir,1,npar); 
   #endif  /* LINMINORIGINAL*/
   #endif /* POWELL */
   
   #ifdef NLOPT
   #ifdef NEWUOA
     opt = nlopt_create(NLOPT_LN_NEWUOA,npar);
   #else
     opt = nlopt_create(NLOPT_LN_BOBYQA,npar);
   #endif
     lb=vector(0,npar-1);
     for (i=0;i<npar;i++) lb[i]= -HUGE_VAL;
     nlopt_set_lower_bounds(opt, lb);
     nlopt_set_initial_step1(opt, 0.1);
     
     p1= (p+1); /*  p *(p+1)@8 and p *(p1)@8 are equal p1[0]=p[1] */
     d->function = func;
     printf(" Func %.12lf \n",myfunc(npar,p1,NULL,d));
     nlopt_set_min_objective(opt, myfunc, d);
     nlopt_set_xtol_rel(opt, ftol);
     if ((creturn=nlopt_optimize(opt, p1, &minf)) < 0) {
       printf("nlopt failed! %d\n",creturn); 
     }
     else {
       printf("found minimum after %d evaluations (NLOPT=%d)\n", countcallfunc ,NLOPT);
       printf("found minimum at f(%g,%g) = %0.10g\n", p[0], p[1], minf);
       iter=1; /* not equal */
     }
     nlopt_destroy(opt);
   #endif
   #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);    free_matrix(xi,1,npar,1,npar);
   fclose(ficrespow);    fclose(ficrespow);
   printf("\n#Number of iterations = %d, -2 Log likelihood = %.12f\n",iter,func(p));    printf("\n#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
   fprintf(ficlog,"\n#Number of iterations = %d, -2 Log likelihood = %.12f \n",iter,func(p));    fprintf(ficlog,"\n#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
   fprintf(ficres,"#Number of iterations = %d, -2 Log likelihood = %.12f \n",iter,func(p));    fprintf(ficres,"#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
   
 }  }
   
 /**** Computes Hessian and covariance matrix ***/  /**** Computes Hessian and covariance matrix ***/
 void hesscov(double **matcov, double p[], int npar, double delti[], double ftolhess, double (*func)(double []))  void hesscov(double **matcov, double **hess, double p[], int npar, double delti[], double ftolhess, double (*func)(double []))
 {  {
   double  **a,**y,*x,pd;    double  **a,**y,*x,pd;
   double **hess;    /* double **hess; */
   int i, j,jk;    int i, j;
   int *indx;    int *indx;
   
   double hessii(double p[], double delta, int theta, double delti[],double (*func)(double []),int npar);    double hessii(double p[], double delta, int theta, double delti[],double (*func)(double []),int npar);
   double hessij(double p[], double delti[], int i, int j,double (*func)(double []),int npar);    double hessij(double p[], double **hess, double delti[], int i, int j,double (*func)(double []),int npar);
   void lubksb(double **a, int npar, int *indx, double b[]) ;    void lubksb(double **a, int npar, int *indx, double b[]) ;
   void ludcmp(double **a, int npar, int *indx, double *d) ;    void ludcmp(double **a, int npar, int *indx, double *d) ;
   double gompertz(double p[]);    double gompertz(double p[]);
   hess=matrix(1,npar,1,npar);    /* hess=matrix(1,npar,1,npar); */
   
   printf("\nCalculation of the hessian matrix. Wait...\n");    printf("\nCalculation of the hessian matrix. Wait...\n");
   fprintf(ficlog,"\nCalculation of the hessian matrix. Wait...\n");    fprintf(ficlog,"\nCalculation of the hessian matrix. Wait...\n");
   for (i=1;i<=npar;i++){    for (i=1;i<=npar;i++){
     printf("%d",i);fflush(stdout);      printf("%d-",i);fflush(stdout);
     fprintf(ficlog,"%d",i);fflush(ficlog);      fprintf(ficlog,"%d-",i);fflush(ficlog);
         
      hess[i][i]=hessii(p,ftolhess,i,delti,func,npar);       hess[i][i]=hessii(p,ftolhess,i,delti,func,npar);
           
Line 2035  void hesscov(double **matcov, double p[] Line 5139  void hesscov(double **matcov, double p[]
   for (i=1;i<=npar;i++) {    for (i=1;i<=npar;i++) {
     for (j=1;j<=npar;j++)  {      for (j=1;j<=npar;j++)  {
       if (j>i) {         if (j>i) { 
         printf(".%d%d",i,j);fflush(stdout);          printf(".%d-%d",i,j);fflush(stdout);
         fprintf(ficlog,".%d%d",i,j);fflush(ficlog);          fprintf(ficlog,".%d-%d",i,j);fflush(ficlog);
         hess[i][j]=hessij(p,delti,i,j,func,npar);          hess[i][j]=hessij(p,hess, delti,i,j,func,npar);
                   
         hess[j][i]=hess[i][j];              hess[j][i]=hess[i][j];    
         /*printf(" %lf ",hess[i][j]);*/          /*printf(" %lf ",hess[i][j]);*/
Line 2071  void hesscov(double **matcov, double p[] Line 5175  void hesscov(double **matcov, double p[]
   fprintf(ficlog,"\n#Hessian matrix#\n");    fprintf(ficlog,"\n#Hessian matrix#\n");
   for (i=1;i<=npar;i++) {     for (i=1;i<=npar;i++) { 
     for (j=1;j<=npar;j++) {       for (j=1;j<=npar;j++) { 
       printf("%.3e ",hess[i][j]);        printf("%.6e ",hess[i][j]);
       fprintf(ficlog,"%.3e ",hess[i][j]);        fprintf(ficlog,"%.6e ",hess[i][j]);
     }      }
     printf("\n");      printf("\n");
     fprintf(ficlog,"\n");      fprintf(ficlog,"\n");
   }    }
   
     /* printf("\n#Covariance matrix#\n"); */
     /* fprintf(ficlog,"\n#Covariance matrix#\n"); */
     /* for (i=1;i<=npar;i++) {  */
     /*   for (j=1;j<=npar;j++) {  */
     /*     printf("%.6e ",matcov[i][j]); */
     /*     fprintf(ficlog,"%.6e ",matcov[i][j]); */
     /*   } */
     /*   printf("\n"); */
     /*   fprintf(ficlog,"\n"); */
     /* } */
   
   /* Recompute Inverse */    /* Recompute Inverse */
   for (i=1;i<=npar;i++)    /* for (i=1;i<=npar;i++) */
     for (j=1;j<=npar;j++) a[i][j]=matcov[i][j];    /*   for (j=1;j<=npar;j++) a[i][j]=matcov[i][j]; */
   ludcmp(a,npar,indx,&pd);    /* ludcmp(a,npar,indx,&pd); */
   
     /*  printf("\n#Hessian matrix recomputed#\n"); */
   
     /* for (j=1;j<=npar;j++) { */
     /*   for (i=1;i<=npar;i++) x[i]=0; */
     /*   x[j]=1; */
     /*   lubksb(a,npar,indx,x); */
     /*   for (i=1;i<=npar;i++){  */
     /*     y[i][j]=x[i]; */
     /*     printf("%.3e ",y[i][j]); */
     /*     fprintf(ficlog,"%.3e ",y[i][j]); */
     /*   } */
     /*   printf("\n"); */
     /*   fprintf(ficlog,"\n"); */
     /* } */
   
   /*  printf("\n#Hessian matrix recomputed#\n");    /* Verifying the inverse matrix */
   #ifdef DEBUGHESS
     y=matprod2(y,hess,1,npar,1,npar,1,npar,matcov);
   
   for (j=1;j<=npar;j++) {     printf("\n#Verification: multiplying the matrix of covariance by the Hessian matrix, should be unity:#\n");
     for (i=1;i<=npar;i++) x[i]=0;     fprintf(ficlog,"\n#Verification: multiplying the matrix of covariance by the Hessian matrix. Should be unity:#\n");
     x[j]=1;  
     lubksb(a,npar,indx,x);    for (j=1;j<=npar;j++) {
     for (i=1;i<=npar;i++){       for (i=1;i<=npar;i++){ 
       y[i][j]=x[i];        printf("%.2f ",y[i][j]);
       printf("%.3e ",y[i][j]);        fprintf(ficlog,"%.2f ",y[i][j]);
       fprintf(ficlog,"%.3e ",y[i][j]);  
     }      }
     printf("\n");      printf("\n");
     fprintf(ficlog,"\n");      fprintf(ficlog,"\n");
   }    }
   */  #endif
   
   free_matrix(a,1,npar,1,npar);    free_matrix(a,1,npar,1,npar);
   free_matrix(y,1,npar,1,npar);    free_matrix(y,1,npar,1,npar);
   free_vector(x,1,npar);    free_vector(x,1,npar);
   free_ivector(indx,1,npar);    free_ivector(indx,1,npar);
   free_matrix(hess,1,npar,1,npar);    /* free_matrix(hess,1,npar,1,npar); */
   
   
 }  }
   
 /*************** hessian matrix ****************/  /*************** hessian matrix ****************/
 double hessii(double x[], double delta, int theta, double delti[], double (*func)(double []), int npar)  double hessii(double x[], double delta, int theta, double delti[], double (*func)(double []), int npar)
 {  { /* Around values of x, computes the function func and returns the scales delti and hessian */
   int i;    int i;
   int l=1, lmax=20;    int l=1, lmax=20;
   double k1,k2;    double k1,k2, res, fx;
   double p2[MAXPARM+1]; /* identical to x */    double p2[MAXPARM+1]; /* identical to x */
   double res;  
   double delt=0.0001, delts, nkhi=10.,nkhif=1., khi=1.e-4;    double delt=0.0001, delts, nkhi=10.,nkhif=1., khi=1.e-4;
   double fx;  
   int k=0,kmax=10;    int k=0,kmax=10;
   double l1;    double l1;
   
Line 2133  double hessii(double x[], double delta, Line 5262  double hessii(double x[], double delta,
       p2[theta]=x[theta]-delt;        p2[theta]=x[theta]-delt;
       k2=func(p2)-fx;        k2=func(p2)-fx;
       /*res= (k1-2.0*fx+k2)/delt/delt; */        /*res= (k1-2.0*fx+k2)/delt/delt; */
       res= (k1+k2)/delt/delt/2.; /* Divided by because L and not 2*L */        res= (k1+k2)/delt/delt/2.; /* Divided by 2 because L and not 2*L */
               
 #ifdef DEBUGHESS  #ifdef DEBUGHESSII
       printf("%d %d k1=%.12e k2=%.12e xk1=%.12e xk2=%.12e delt=%.12e res=%.12e l=%d k=%d,fx=%.12e\n",theta,theta,k1,k2,x[theta]+delt,x[theta]-delt,delt,res, l, k,fx);        printf("%d %d k1=%.12e k2=%.12e xk1=%.12e xk2=%.12e delt=%.12e res=%.12e l=%d k=%d,fx=%.12e\n",theta,theta,k1,k2,x[theta]+delt,x[theta]-delt,delt,res, l, k,fx);
       fprintf(ficlog,"%d %d k1=%.12e k2=%.12e xk1=%.12e xk2=%.12e delt=%.12e res=%.12e l=%d k=%d,fx=%.12e\n",theta,theta,k1,k2,x[theta]+delt,x[theta]-delt,delt,res, l, k,fx);        fprintf(ficlog,"%d %d k1=%.12e k2=%.12e xk1=%.12e xk2=%.12e delt=%.12e res=%.12e l=%d k=%d,fx=%.12e\n",theta,theta,k1,k2,x[theta]+delt,x[theta]-delt,delt,res, l, k,fx);
 #endif  #endif
Line 2144  double hessii(double x[], double delta, Line 5273  double hessii(double x[], double delta,
         k=kmax;          k=kmax;
       }        }
       else if((k1 >khi/nkhif) || (k2 >khi/nkhif)){ /* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. */        else if((k1 >khi/nkhif) || (k2 >khi/nkhif)){ /* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. */
         k=kmax; l=lmax*10.;          k=kmax; l=lmax*10;
       }        }
       else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){         else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){ 
         delts=delt;          delts=delt;
       }        }
     }      } /* End loop k */
   }    }
   delti[theta]=delts;    delti[theta]=delts;
   return res;     return res; 
       
 }  }
   
 double hessij( double x[], double delti[], int thetai,int thetaj,double (*func)(double []),int npar)  double hessij( double x[], double **hess, double delti[], int thetai,int thetaj,double (*func)(double []),int npar)
 {  {
   int i;    int i;
   int l=1, l1, lmax=20;    int l=1, lmax=20;
   double k1,k2,k3,k4,res,fx;    double k1,k2,k3,k4,res,fx;
   double p2[MAXPARM+1];    double p2[MAXPARM+1];
   int k;    int k, kmax=1;
     double v1, v2, cv12, lc1, lc2;
   
     int firstime=0;
     
   fx=func(x);    fx=func(x);
   for (k=1; k<=2; k++) {    for (k=1; k<=kmax; k=k+10) {
     for (i=1;i<=npar;i++) p2[i]=x[i];      for (i=1;i<=npar;i++) p2[i]=x[i];
     p2[thetai]=x[thetai]+delti[thetai]/k;      p2[thetai]=x[thetai]+delti[thetai]*k;
     p2[thetaj]=x[thetaj]+delti[thetaj]/k;      p2[thetaj]=x[thetaj]+delti[thetaj]*k;
     k1=func(p2)-fx;      k1=func(p2)-fx;
       
     p2[thetai]=x[thetai]+delti[thetai]/k;      p2[thetai]=x[thetai]+delti[thetai]*k;
     p2[thetaj]=x[thetaj]-delti[thetaj]/k;      p2[thetaj]=x[thetaj]-delti[thetaj]*k;
     k2=func(p2)-fx;      k2=func(p2)-fx;
       
     p2[thetai]=x[thetai]-delti[thetai]/k;      p2[thetai]=x[thetai]-delti[thetai]*k;
     p2[thetaj]=x[thetaj]+delti[thetaj]/k;      p2[thetaj]=x[thetaj]+delti[thetaj]*k;
     k3=func(p2)-fx;      k3=func(p2)-fx;
       
     p2[thetai]=x[thetai]-delti[thetai]/k;      p2[thetai]=x[thetai]-delti[thetai]*k;
     p2[thetaj]=x[thetaj]-delti[thetaj]/k;      p2[thetaj]=x[thetaj]-delti[thetaj]*k;
     k4=func(p2)-fx;      k4=func(p2)-fx;
     res=(k1-k2-k3+k4)/4.0/delti[thetai]*k/delti[thetaj]*k/2.; /* Because of L not 2*L */      res=(k1-k2-k3+k4)/4.0/delti[thetai]/k/delti[thetaj]/k/2.; /* Because of L not 2*L */
 #ifdef DEBUG      if(k1*k2*k3*k4 <0.){
     printf("%d %d k=%d, k1=%.12e k2=%.12e k3=%.12e k4=%.12e delti/k=%.12e deltj/k=%.12e, xi-de/k=%.12e xj-de/k=%.12e  res=%.12e k1234=%.12e,k1-2=%.12e,k3-4=%.12e\n",thetai,thetaj,k,k1,k2,k3,k4,delti[thetai]/k,delti[thetaj]/k,x[thetai]-delti[thetai]/k,x[thetaj]-delti[thetaj]/k, res,k1-k2-k3+k4,k1-k2,k3-k4);        firstime=1;
     fprintf(ficlog,"%d %d k=%d, k1=%.12e k2=%.12e k3=%.12e k4=%.12e delti/k=%.12e deltj/k=%.12e, xi-de/k=%.12e xj-de/k=%.12e  res=%.12e k1234=%.12e,k1-2=%.12e,k3-4=%.12e\n",thetai,thetaj,k,k1,k2,k3,k4,delti[thetai]/k,delti[thetaj]/k,x[thetai]-delti[thetai]/k,x[thetaj]-delti[thetaj]/k, res,k1-k2-k3+k4,k1-k2,k3-k4);        kmax=kmax+10;
       }
       if(kmax >=10 || firstime ==1){
         /* What are the thetai and thetaj? thetai/ncovmodel thetai=(thetai-thetai%ncovmodel)/ncovmodel +thetai%ncovmodel=(line,pos)  */
         printf("Warning: directions %d-%d, you are not estimating the Hessian at the exact maximum likelihood; you could increase ftol=%.2e\n",thetai,thetaj, ftol);
         fprintf(ficlog,"Warning: directions %d-%d, you are not estimating the Hessian at the exact maximum likelihood; you could increase ftol=%.2e\n",thetai,thetaj, ftol);
         printf("%d %d k=%d, k1=%.12e k2=%.12e k3=%.12e k4=%.12e delti*k=%.12e deltj*k=%.12e, xi-de*k=%.12e xj-de*k=%.12e  res=%.12e k1234=%.12e,k1-2=%.12e,k3-4=%.12e\n",thetai,thetaj,k,k1,k2,k3,k4,delti[thetai]/k,delti[thetaj]/k,x[thetai]-delti[thetai]/k,x[thetaj]-delti[thetaj]/k, res,k1-k2-k3+k4,k1-k2,k3-k4);
         fprintf(ficlog,"%d %d k=%d, k1=%.12e k2=%.12e k3=%.12e k4=%.12e delti*k=%.12e deltj*k=%.12e, xi-de*k=%.12e xj-de*k=%.12e  res=%.12e k1234=%.12e,k1-2=%.12e,k3-4=%.12e\n",thetai,thetaj,k,k1,k2,k3,k4,delti[thetai]/k,delti[thetaj]/k,x[thetai]-delti[thetai]/k,x[thetaj]-delti[thetaj]/k, res,k1-k2-k3+k4,k1-k2,k3-k4);
       }
   #ifdef DEBUGHESSIJ
       v1=hess[thetai][thetai];
       v2=hess[thetaj][thetaj];
       cv12=res;
       /* Computing eigen value of Hessian matrix */
       lc1=((v1+v2)+sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
       lc2=((v1+v2)-sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
       if ((lc2 <0) || (lc1 <0) ){
         printf("Warning: sub Hessian matrix '%d%d' does not have positive eigen values \n",thetai,thetaj);
         fprintf(ficlog, "Warning: sub Hessian matrix '%d%d' does not have positive eigen values \n",thetai,thetaj);
         printf("%d %d k=%d, k1=%.12e k2=%.12e k3=%.12e k4=%.12e delti/k=%.12e deltj/k=%.12e, xi-de/k=%.12e xj-de/k=%.12e  res=%.12e k1234=%.12e,k1-2=%.12e,k3-4=%.12e\n",thetai,thetaj,k,k1,k2,k3,k4,delti[thetai]/k,delti[thetaj]/k,x[thetai]-delti[thetai]/k,x[thetaj]-delti[thetaj]/k, res,k1-k2-k3+k4,k1-k2,k3-k4);
         fprintf(ficlog,"%d %d k=%d, k1=%.12e k2=%.12e k3=%.12e k4=%.12e delti/k=%.12e deltj/k=%.12e, xi-de/k=%.12e xj-de/k=%.12e  res=%.12e k1234=%.12e,k1-2=%.12e,k3-4=%.12e\n",thetai,thetaj,k,k1,k2,k3,k4,delti[thetai]/k,delti[thetaj]/k,x[thetai]-delti[thetai]/k,x[thetaj]-delti[thetaj]/k, res,k1-k2-k3+k4,k1-k2,k3-k4);
       }
 #endif  #endif
   }    }
   return res;    return res;
 }  }
   
       /* Not done yet: Was supposed to fix if not exactly at the maximum */
   /* double hessij( double x[], double delti[], int thetai,int thetaj,double (*func)(double []),int npar) */
   /* { */
   /*   int i; */
   /*   int l=1, lmax=20; */
   /*   double k1,k2,k3,k4,res,fx; */
   /*   double p2[MAXPARM+1]; */
   /*   double delt=0.0001, delts, nkhi=10.,nkhif=1., khi=1.e-4; */
   /*   int k=0,kmax=10; */
   /*   double l1; */
     
   /*   fx=func(x); */
   /*   for(l=0 ; l <=lmax; l++){  /\* Enlarging the zone around the Maximum *\/ */
   /*     l1=pow(10,l); */
   /*     delts=delt; */
   /*     for(k=1 ; k <kmax; k=k+1){ */
   /*       delt = delti*(l1*k); */
   /*       for (i=1;i<=npar;i++) p2[i]=x[i]; */
   /*       p2[thetai]=x[thetai]+delti[thetai]/k; */
   /*       p2[thetaj]=x[thetaj]+delti[thetaj]/k; */
   /*       k1=func(p2)-fx; */
         
   /*       p2[thetai]=x[thetai]+delti[thetai]/k; */
   /*       p2[thetaj]=x[thetaj]-delti[thetaj]/k; */
   /*       k2=func(p2)-fx; */
         
   /*       p2[thetai]=x[thetai]-delti[thetai]/k; */
   /*       p2[thetaj]=x[thetaj]+delti[thetaj]/k; */
   /*       k3=func(p2)-fx; */
         
   /*       p2[thetai]=x[thetai]-delti[thetai]/k; */
   /*       p2[thetaj]=x[thetaj]-delti[thetaj]/k; */
   /*       k4=func(p2)-fx; */
   /*       res=(k1-k2-k3+k4)/4.0/delti[thetai]*k/delti[thetaj]*k/2.; /\* Because of L not 2*L *\/ */
   /* #ifdef DEBUGHESSIJ */
   /*       printf("%d %d k=%d, k1=%.12e k2=%.12e k3=%.12e k4=%.12e delti/k=%.12e deltj/k=%.12e, xi-de/k=%.12e xj-de/k=%.12e  res=%.12e k1234=%.12e,k1-2=%.12e,k3-4=%.12e\n",thetai,thetaj,k,k1,k2,k3,k4,delti[thetai]/k,delti[thetaj]/k,x[thetai]-delti[thetai]/k,x[thetaj]-delti[thetaj]/k, res,k1-k2-k3+k4,k1-k2,k3-k4); */
   /*       fprintf(ficlog,"%d %d k=%d, k1=%.12e k2=%.12e k3=%.12e k4=%.12e delti/k=%.12e deltj/k=%.12e, xi-de/k=%.12e xj-de/k=%.12e  res=%.12e k1234=%.12e,k1-2=%.12e,k3-4=%.12e\n",thetai,thetaj,k,k1,k2,k3,k4,delti[thetai]/k,delti[thetaj]/k,x[thetai]-delti[thetai]/k,x[thetaj]-delti[thetaj]/k, res,k1-k2-k3+k4,k1-k2,k3-k4); */
   /* #endif */
   /*       if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)|| (k4 <khi/nkhi/2.)|| (k4 <khi/nkhi/2.)){ */
   /*      k=kmax; */
   /*       } */
   /*       else if((k1 >khi/nkhif) || (k2 >khi/nkhif) || (k4 >khi/nkhif) || (k4 >khi/nkhif)){ /\* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. *\/ */
   /*      k=kmax; l=lmax*10; */
   /*       } */
   /*       else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){  */
   /*      delts=delt; */
   /*       } */
   /*     } /\* End loop k *\/ */
   /*   } */
   /*   delti[theta]=delts; */
   /*   return res;  */
   /* } */
   
   
 /************** Inverse of matrix **************/  /************** Inverse of matrix **************/
 void ludcmp(double **a, int n, int *indx, double *d)   void ludcmp(double **a, int n, int *indx, double *d) 
 {   { 
Line 2204  void ludcmp(double **a, int n, int *indx Line 5411  void ludcmp(double **a, int n, int *indx
     big=0.0;       big=0.0; 
     for (j=1;j<=n;j++)       for (j=1;j<=n;j++) 
       if ((temp=fabs(a[i][j])) > big) big=temp;         if ((temp=fabs(a[i][j])) > big) big=temp; 
     if (big == 0.0) nrerror("Singular matrix in routine ludcmp");       if (big == 0.0){
         printf(" Singular Hessian matrix at row %d:\n",i);
         for (j=1;j<=n;j++) {
           printf(" a[%d][%d]=%f,",i,j,a[i][j]);
           fprintf(ficlog," a[%d][%d]=%f,",i,j,a[i][j]);
         }
         fflush(ficlog);
         fclose(ficlog);
         nrerror("Singular matrix in routine ludcmp"); 
       }
     vv[i]=1.0/big;       vv[i]=1.0/big; 
   }     } 
   for (j=1;j<=n;j++) {     for (j=1;j<=n;j++) { 
Line 2267  void lubksb(double **a, int n, int *indx Line 5483  void lubksb(double **a, int n, int *indx
   
 void pstamp(FILE *fichier)  void pstamp(FILE *fichier)
 {  {
   fprintf(fichier,"# %s.%s\n#%s\n#%s\n# %s", optionfilefiname,optionfilext,version,fullversion,strstart);    fprintf(fichier,"# %s.%s\n#IMaCh version %s, %s\n#%s\n# %s", optionfilefiname,optionfilext,version,copyright, fullversion, strstart);
 }  }
   
 /************ Frequencies ********************/  void date2dmy(double date,double *day, double *month, double *year){
 void  freqsummary(char fileres[], int iagemin, int iagemax, int **s, double **agev, int nlstate, int imx, int *Tvaraff, int **nbcode, int *ncodemax,double **mint,double **anint, char strstart[])    double yp=0., yp1=0., yp2=0.;
 {  /* Some frequencies */  
       
   int i, m, jk, k1,i1, j1, bool, z1,j;    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, s1=1, s2=1;
     int iind=0, iage=0;
     int mi; /* Effective wave */
   int first;    int first;
   double ***freq; /* Frequencies */    double ***freq; /* Frequencies */
   double *pp, **prop;    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 */
   double pos,posprop, k2, dateintsum=0,k2cpt=0;    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);
   char fileresp[FILENAMELENGTH];    double *meanq, *stdq, *idq;
       double **meanqt;
     double *pp, **prop, *posprop, *pospropt;
     double pos=0., posproptt=0., pospropta=0., k2, dateintsum=0,k2cpt=0;
     char fileresp[FILENAMELENGTH], fileresphtm[FILENAMELENGTH], fileresphtmfr[FILENAMELENGTH];
     double agebegin, ageend;
       
   pp=vector(1,nlstate);    pp=vector(1,nlstate);
   prop=matrix(1,nlstate,iagemin,iagemax+3);    prop=matrix(1,nlstate,iagemin-AGEMARGE,iagemax+4+AGEMARGE); 
   strcpy(fileresp,"p");    posprop=vector(1,nlstate); /* Counting the number of transition starting from a live state per age */ 
   strcat(fileresp,fileres);    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);
     /*strcat(fileresphtm,fileresu);*/
   if((ficresp=fopen(fileresp,"w"))==NULL) {    if((ficresp=fopen(fileresp,"w"))==NULL) {
     printf("Problem with prevalence resultfile: %s\n", fileresp);      printf("Problem with prevalence resultfile: %s\n", fileresp);
     fprintf(ficlog,"Problem with prevalence resultfile: %s\n", fileresp);      fprintf(ficlog,"Problem with prevalence resultfile: %s\n", fileresp);
     exit(0);      exit(0);
   }    }
   freq= ma3x(-5,nlstate+ndeath,-5,nlstate+ndeath,iagemin,iagemax+3);    
     strcpy(fileresphtm,subdirfext(optionfilefiname,"PHTM_",".htm"));
     if((ficresphtm=fopen(fileresphtm,"w"))==NULL) {
       printf("Problem with prevalence HTM resultfile '%s' with errno='%s'\n",fileresphtm,strerror(errno));
       fprintf(ficlog,"Problem with prevalence HTM resultfile '%s' with errno='%s'\n",fileresphtm,strerror(errno));
       fflush(ficlog);
       exit(70); 
     }
     else{
       fprintf(ficresphtm,"<html><head>\n<title>IMaCh PHTM_ %s</title></head>\n <body><font size=\"2\">%s <br> %s</font> \
   <hr size=\"2\" color=\"#EC5E5E\"> \n                                    \
   Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=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 (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) {
       printf("Problem with frequency table HTM resultfile '%s' with errno='%s'\n",fileresphtmfr,strerror(errno));
       fprintf(ficlog,"Problem with frequency table HTM resultfile '%s' with errno='%s'\n",fileresphtmfr,strerror(errno));
       fflush(ficlog);
       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                                   \
   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>(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);
     freq= ma3x(-5,nlstate+ndeath,-5,nlstate+ndeath,iagemin-AGEMARGE,iagemax+4+AGEMARGE);
   j1=0;    j1=0;
       
   j=cptcoveff;    /* j=ncoveff;  /\* Only fixed dummy covariates *\/ */
     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;}    if (cptcovn<1) {j=1;ncodemax[1]=1;}
     
     
     /* Detects if a combination j1 is empty: for a multinomial variable like 3 education levels:
        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**cptcovn 
     */
     dateintsum=0;
     k2cpt=0;
   
   first=1;    if(cptcoveff == 0 )
       nl=1;  /* Constant and age model only */
     else
       nl=2;
   
   /* for(k1=1; k1<=j ; k1++){   /* Loop on covariates */    /* if a constant only model, one pass to compute frequency tables and to write it on ficresp */
   /*  for(i1=1; i1<=ncodemax[k1];i1++){ /* Now it is 2 */    /* Loop on nj=1 or 2 if dummy covariates j!=0
   /*    j1++;     *   Loop on j1(1 to 2**cptcoveff) covariate combination
 */     *     freq[s1][s2][iage] =0.
   for (j1 = 1; j1 <= (int) pow(2,cptcoveff); j1++){     *     Loop on iind
       /*printf("cptcoveff=%d Tvaraff=%d", cptcoveff,Tvaraff[1]);     *       ++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{
         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 all dummy covariates combination of the model, ie excluding quantitatives, V4=0, V3=0 for example, fixed or varying covariates */
         posproptt=0.;
         /*printf("cptcovn=%d Tvaraff=%d", cptcovn,Tvaraff[1]);
         scanf("%d", i);*/          scanf("%d", i);*/
       for (i=-5; i<=nlstate+ndeath; 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++)            for(m=iagemin; m <= iagemax+3; m++)
             freq[i][jk][m]=0;              freq[i][s2][m]=0;
               
       for (i=1; i<=nlstate; i++)          for (i=1; i<=nlstate; i++)  {
         for(m=iagemin; m <= iagemax+3; m++)          for(m=iagemin; m <= iagemax+3; m++)
           prop[i][m]=0;            prop[i][m]=0;
           posprop[i]=0;
           pospropt[i]=0;
         }
         for (z1=1; z1<= nqfveff; z1++) { /* zeroing for each combination j1 as well as for the total */
           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.; */
         /*        } */
         /* }       */
         /* dateintsum=0; */
         /* k2cpt=0; */
               
       dateintsum=0;        /* For that combination of covariates j1 (V4=1 V3=0 for example), we count and print the frequencies in one pass */
       k2cpt=0;        for (iind=1; iind<=imx; iind++) { /* For each individual iind */
       for (i=1; i<=imx; i++) {  
         bool=1;          bool=1;
         if  (cptcovn>0) { /* Filter is here: Must be looked at for model=V1+V2+V3+V4 */          if(j !=0){
           for (z1=1; z1<=cptcoveff; z1++)                   if(anyvaryingduminmodel==0){ /* If All fixed covariates */
             if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtab[j1][z1]]){              if (cptcoveff >0) { /* Filter is here: Must be looked at for model=V1+V2+V3+V4 */
                 /* Tests if the value of each of the covariates of i is equal to filter j1 */                for (z1=1; z1<=cptcoveff; z1++) { /* loops on covariates in the model */
               bool=0;                  /* if(Tvaraff[z1] ==-20){ */
               /* printf("bool=%d i=%d, z1=%d, Tvaraff[%d]=%d, covar[Tvarff][%d]=%2f, codtab[%d][%d]=%d, nbcode[Tvaraff][codtab[%d][%d]=%d, j1=%d\n",                   /*       /\* sumnew+=cotvar[mw[mi][iind]][z1][iind]; *\/ */
                 bool,i,z1, z1, Tvaraff[z1],i,covar[Tvaraff[z1]][i],j1,z1,codtab[j1][z1],                  /* }else  if(Tvaraff[z1] ==-10){ */
                 j1,z1,nbcode[Tvaraff[z1]][codtab[j1][z1]],j1);*/                  /*       /\* sumnew+=coqvar[z1][iind]; *\/ */
               /* For j1=7 in V1+V2+V3+V4 = 0 1 1 0 and codtab[7][3]=1 and nbcde[3][?]=1*/                  /* }else  */ /* TODO TODO codtabm(j1,z1) or codtabm(j1,Tvaraff[z1]]z1)*/
             }                   /* 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); */
         }                  if(Tvaraff[z1]<1 || Tvaraff[z1]>=NCOVMAX)
                      printf("Error Tvaraff[z1]=%d<1 or >=%d, cptcoveff=%d model=1+age+%s\n",Tvaraff[z1],NCOVMAX, cptcoveff, model);
         if (bool==1){                  if (covar[Tvaraff[z1]][iind]!= nbcode[Tvaraff[z1]][codtabm(j1,TnsdVar[Tvaraff[z1]])]){ /* for combination j1 of covariates */
           for(m=firstpass; m<=lastpass; m++){                    /* Tests if the value of the covariate z1 for this individual iind responded to combination j1 (V4=1 V3=0) */
             k2=anint[m][i]+(mint[m][i]/12.);                    bool=0; /* bool should be equal to 1 to be selected, one covariate value failed */
             /*if ((k2>=dateprev1) && (k2<=dateprev2)) {*/                    /* 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", */
               if(agev[m][i]==0) agev[m][i]=iagemax+1;                    /*   bool,i,z1, z1, Tvaraff[z1],i,covar[Tvaraff[z1]][i],j1,z1,codtabm(j1,z1),*/
               if(agev[m][i]==1) agev[m][i]=iagemax+2;                    /*   j1,z1,nbcode[Tvaraff[z1]][codtabm(j1,z1)],j1);*/
               if (s[m][i]>0 && s[m][i]<=nlstate) prop[s[m][i]][(int)agev[m][i]] += weight[i];                    /* For j1=7 in V1+V2+V3+V4 = 0 1 1 0 and codtabm(7,3)=1 and nbcde[3][?]=1*/
               if (m<lastpass) {                  } /* Onlyf fixed */
                 freq[s[m][i]][s[m+1][i]][(int)agev[m][i]] += weight[i];                } /* end z1 */
                 freq[s[m][i]][s[m+1][i]][iagemax+3] += weight[i];              } /* cptcoveff > 0 */
               }            } /* end any */
                         }/* end j==0 */
               if ((agev[m][i]>1) && (agev[m][i]< (iagemax+3))) {          if (bool==1){ /* We selected an individual iind satisfying combination j1 (V4=1 V3=0) or all fixed covariates */
                 dateintsum=dateintsum+k2;            /* for(m=firstpass; m<=lastpass; m++){ */
             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; /\* Good *\/ */
                       iv= Tvar[Tmodelind[z1]]; /* Good *//* because cotvar starts now at first at ncovcol+nqv+ntv */ 
                       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 */
                       /* 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;
                       }
                     }
                   }
                 }/* 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){ /*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*/
                 ageend=agev[m][iind]+(dh[m][iind])*stepm/YEARM; /* Age at end of wave and transition */
                 if(m >=firstpass && m <=lastpass){
                   k2=anint[m][iind]+(mint[m][iind]/12.);
                   /*if ((k2>=dateprev1) && (k2<=dateprev2)) {*/
                   if(agev[m][iind]==0) agev[m][iind]=iagemax+1;  /* All ages equal to 0 are in iagemax+1 */
                   if(agev[m][iind]==1) agev[m][iind]=iagemax+2;  /* All ages equal to 1 are in iagemax+2 */
                   if (s[m][iind]>0 && s[m][iind]<=nlstate)  /* If status at wave m is known and a live state */
                     prop[s[m][iind]][(int)agev[m][iind]] += weight[iind];  /* At age of beginning of transition, where status is known */
                   if (m<lastpass) {
                     /* if(s[m][iind]==4 && s[m+1][iind]==4) */
                     /*   printf(" num=%ld m=%d, iind=%d s1=%d s2=%d agev at m=%d\n", num[iind], m, iind,s[m][iind],s[m+1][iind], (int)agev[m][iind]); */
                     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]; */
                     freq[s[m][iind]][s[m+1][iind]][iagemax+3] += weight[iind]; /* Total is in iagemax+3 *//* At age of beginning of transition, where status is known */
                   }
                 } /* end if between passes */  
                 if ((agev[m][iind]>1) && (agev[m][iind]< (iagemax+3)) && (anint[m][iind]!=9999) && (mint[m][iind]!=99) && (j==0)) {
                   dateintsum=dateintsum+k2; /* on all covariates ?*/
                 k2cpt++;                  k2cpt++;
                   /* printf("iind=%ld dateintmean = %lf dateintsum=%lf k2cpt=%lf k2=%lf\n",iind, dateintsum/k2cpt, dateintsum,k2cpt, k2); */
               }                }
               /*}*/              }else{
           }                bool=1;
         }              }/* end bool 2 */
       } /* end i */            } /* 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 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);*/        /*      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 */
       if  (cptcovn>0) {          pstamp(ficresp);
         if  (cptcoveff>0 && j!=0){
           pstamp(ficresp);
           printf( "\n#********** Variable "); 
         fprintf(ficresp, "\n#********** Variable ");           fprintf(ficresp, "\n#********** Variable "); 
         for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresp, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);          fprintf(ficresphtm, "\n<br/><br/><h3>********** Variable "); 
         fprintf(ficresp, "**********\n#");          fprintf(ficresphtmfr, "\n<br/><br/><h3>********** Variable "); 
         fprintf(ficlog, "\n#********** Variable ");           fprintf(ficlog, "\n#********** Variable "); 
         for (z1=1; z1<=cptcoveff; z1++) fprintf(ficlog, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);          for (z1=1; z1<=cptcoveff; z1++){
         fprintf(ficlog, "**********\n#");            if(!FixedV[Tvaraff[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,TnsdVar[Tvaraff[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,TnsdVar[Tvaraff[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,TnsdVar[Tvaraff[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,TnsdVar[Tvaraff[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,TnsdVar[Tvaraff[z1]])]);
             }
           }
           printf( "**********\n#");
           fprintf(ficresp, "**********\n#");
           fprintf(ficresphtm, "**********</h3>\n");
           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++) {
           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);
       }        }
       for(i=1; i<=nlstate;i++)         if((cptcoveff==0 && nj==1)|| nj==2 ) fprintf(ficresp, "\n");
         fprintf(ficresp, " Age Prev(%d) N(%d) N",i,i);        fprintf(ficresphtm, "\n");
       fprintf(ficresp, "\n");  
               
       for(i=iagemin; i <= iagemax+3; i++){        /* Header of frequency table by age */
         if(i==iagemax+3){        fprintf(ficresphtmfr,"<table style=\"text-align:center; border: 1px solid\">");
         fprintf(ficresphtmfr,"<th>Age</th> ");
         for(s2=-1; s2 <=nlstate+ndeath; s2++){
           for(m=-1; m <=nlstate+ndeath; m++){
             if(s2!=0 && m!=0)
               fprintf(ficresphtmfr,"<th>%d%d</th> ",s2,m);
           }
         }
         fprintf(ficresphtmfr, "\n");
       
         /* For each age */
         for(iage=iagemin; iage <= iagemax+3; iage++){
           fprintf(ficresphtm,"<tr>");
           if(iage==iagemax+1){
             fprintf(ficlog,"1");
             fprintf(ficresphtmfr,"<tr><th>0</th> ");
           }else if(iage==iagemax+2){
             fprintf(ficlog,"0");
             fprintf(ficresphtmfr,"<tr><th>Unknown</th> ");
           }else if(iage==iagemax+3){
           fprintf(ficlog,"Total");            fprintf(ficlog,"Total");
             fprintf(ficresphtmfr,"<tr><th>Total</th> ");
         }else{          }else{
           if(first==1){            if(first==1){
             first=0;              first=0;
             printf("See log file for details...\n");              printf("See log file for details...\n");
           }            }
           fprintf(ficlog,"Age %d", i);            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][i];               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++)            for(m=-1, pos=0; m <=0 ; m++)
             pos += freq[jk][m][i];              pos += freq[s1][m][iage];
           if(pp[jk]>=1.e-10){            if(pp[s1]>=1.e-10){
             if(first==1){              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{            }else{
             if(first==1)              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++){ 
           for(m=0, pp[jk]=0; m <=nlstate+ndeath; m++)            /* posprop[s1]=0; */
             pp[jk] += freq[jk][m][i];            for(m=0, pp[s1]=0; m <=nlstate+ndeath; m++)/* Summing on all ages */
         }                     pp[s1] += freq[s1][m][iage];
         for(jk=1,pos=0,posprop=0; jk <=nlstate ; jk++){          }       /* pp[s1] is the total number of transitions starting from state s1 and any ending status until this age */
           pos += pp[jk];        
           posprop += prop[jk][i];          for(s1=1,pos=0, pospropta=0.; s1 <=nlstate ; s1++){
             pos += pp[s1]; /* pos is the total number of transitions until this age */
             posprop[s1] += prop[s1][iage]; /* prop is the number of transitions from a live state
                                               from s1 at age iage prop[s[m][iind]][(int)agev[m][iind]] += weight[iind] */
             pospropta += prop[s1][iage]; /* prop is the number of transitions from a live state
                                             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(pos>=1.e-5){
             if(first==1)              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{            }else{
             if(first==1)              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( i <= iagemax){            if( iage <= iagemax){
             if(pos>=1.e-5){              if(pos>=1.e-5){
               fprintf(ficresp," %d %.5f %.0f %.0f",i,prop[jk][i]/posprop, prop[jk][i],posprop);                if(cptcoveff==0 && nj==1){ /* no covariate and first pass */
               /*probs[i][jk][j1]= pp[jk]/pos;*/                  fprintf(ficresp," %.5f %.0f %.0f",prop[s1][iage]/pospropta, prop[s1][iage],pospropta);
               /*printf("\ni=%d jk=%d j1=%d %.5f %.0f %.0f %f",i,jk,j1,pp[jk]/pos, pp[jk],pos,probs[i][jk][j1]);*/                }else if( nj==2){
                   fprintf(ficresp," %.5f %.0f %.0f",prop[s1][iage]/pospropta, prop[s1][iage],pospropta);
                 }
                 fprintf(ficresphtm,"<th>%d</th><td>%.5f</td><td>%.0f</td><td>%.0f</td>",iage,prop[s1][iage]/pospropta, prop[s1][iage],pospropta);
                 /*probs[iage][s1][j1]= pp[s1]/pos;*/
                 /*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);
             }              }
             else  
               fprintf(ficresp," %d NaNq %.0f %.0f",i,prop[jk][i],posprop);  
           }            }
         }            pospropt[s1] +=posprop[s1];
                   } /* end loop s1 */
         for(jk=-1; jk <=nlstate+ndeath; jk++)          /* pospropt=0.; */
           for(m=-1; m <=nlstate+ndeath; m++)          for(s1=-1; s1 <=nlstate+ndeath; s1++){
             if(freq[jk][m][i] !=0 ) {            for(m=-1; m <=nlstate+ndeath; m++){
             if(first==1)              if(freq[s1][m][iage] !=0 ) { /* minimizing output */
               printf(" %d%d=%.0f",jk,m,freq[jk][m][i]);                if(first==1){
               fprintf(ficlog," %d%d=%.0f",jk,m,freq[jk][m][i]);                  printf(" %d%d=%.0f",s1,m,freq[s1][m][iage]);
                 }
                 /* printf(" %d%d=%.0f",s1,m,freq[s1][m][iage]); */
                 fprintf(ficlog," %d%d=%.0f",s1,m,freq[s1][m][iage]);
             }              }
         if(i <= iagemax)              if(s1!=0 && m!=0)
           fprintf(ficresp,"\n");                fprintf(ficresphtmfr,"<td>%.0f</td> ",freq[s1][m][iage]);
             }
           } /* end loop s1 */
           posproptt=0.; 
           for(s1=1; s1 <=nlstate; s1++){
             posproptt += pospropt[s1];
           }
           fprintf(ficresphtmfr,"</tr>\n ");
           fprintf(ficresphtm,"</tr>\n");
           if((cptcoveff==0 && nj==1)|| nj==2 ) {
             if(iage <= iagemax)
               fprintf(ficresp,"\n");
           }
         if(first==1)          if(first==1)
           printf("Others in log...\n");            printf("Others in log...\n");
         fprintf(ficlog,"\n");          fprintf(ficlog,"\n");
         } /* end loop age iage */
         
         fprintf(ficresphtm,"<tr><th>Tot</th>");
         for(s1=1; s1 <=nlstate ; s1++){
           if(posproptt < 1.e-5){
             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[s1]/posproptt,pospropt[s1],posproptt);  
           }
       }        }
       /*}*/        fprintf(ficresphtm,"</tr>\n");
   }        fprintf(ficresphtm,"</table>\n");
         fprintf(ficresphtmfr,"</table>\n");
         if(posproptt < 1.e-5){
           fprintf(ficresphtm,"\n <p><b> This combination (%d) is not valid and no result will be produced</b></p>",j1);
           fprintf(ficresphtmfr,"\n <p><b> This combination (%d) is not valid and no result will be produced</b></p>",j1);
           fprintf(ficlog,"#  This combination (%d) is not valid and no result will be produced\n",j1);
           printf("#  This combination (%d) is not valid and no result will be produced\n",j1);
           invalidvarcomb[j1]=1;
         }else{
           fprintf(ficresphtm,"\n <p> This combination (%d) is valid and result will be produced (or no resultline).</p>",j1);
           invalidvarcomb[j1]=0;
         }
         fprintf(ficresphtmfr,"</table>\n");
         fprintf(ficlog,"\n");
         if(j!=0){
           printf("#Freqsummary: Starting values for combination j1=%d:\n", j1);
           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 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[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[s1],freq[i][k][iagemax+3],freq[i][i][iagemax+3], 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, 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[s1]=b;
                     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[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("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]); */
                   s1++; 
                 } /* end jj */
               } /* end k!= i */
             } /* end k */
           } /* 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,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[s1]=p[s1]; /* Setting pstart to p values by default */
                 if(jj==1){ /* Age has to be done */
                   pstart[s1]= 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[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]); */
                 s1++; 
               }
               printf("\n");
               fprintf(ficlog,"\n");
             }
           }
         } /* end of state i */
         printf("#Freqsummary\n");
         fprintf(ficlog,"\n");
         for(s1=-1; s1 <=nlstate+ndeath; s1++){
           for(s2=-1; s2 <=nlstate+ndeath; s2++){
             /* param[i]|j][k]= freq[s1][s2][iagemax+3] */
             printf(" %d%d=%.0f",s1,s2,freq[s1][s2][iagemax+3]);
             fprintf(ficlog," %d%d=%.0f",s1,s2,freq[s1][s2][iagemax+3]);
             /* if(freq[s1][s2][iage] !=0 ) { /\* minimizing output *\/ */
             /*   printf(" %d%d=%.0f",s1,s2,freq[s1][s2][iagemax+3]); */
             /*   fprintf(ficlog," %d%d=%.0f",s1,s2,freq[s1][s2][iagemax+3]); */
             /* } */
           }
         } /* end loop s1 */
         
         printf("\n");
         fprintf(ficlog,"\n");
       } /* end j=0 */
     } /* end j */
   
     if(mle == -2){  /* We want to use these values as starting values */
       for(i=1, jk=1; i <=nlstate; i++){
         for(j=1; j <=nlstate+ndeath; j++){
           if(j!=i){
             /*ca[0]= k+'a'-1;ca[1]='\0';*/
             printf("%1d%1d",i,j);
             fprintf(ficparo,"%1d%1d",i,j);
             for(k=1; k<=ncovmodel;k++){
               /*    printf(" %lf",param[i][j][k]); */
               /*    fprintf(ficparo," %lf",param[i][j][k]); */
               p[jk]=pstart[jk];
               printf(" %f ",pstart[jk]);
               fprintf(ficparo," %f ",pstart[jk]);
               jk++;
             }
             printf("\n");
             fprintf(ficparo,"\n");
           }
         }
       }
     } /* end mle=-2 */
   dateintmean=dateintsum/k2cpt;     dateintmean=dateintsum/k2cpt; 
      date2dmy(dateintmean,&jintmean,&mintmean,&aintmean);
     
   fclose(ficresp);    fclose(ficresp);
   free_ma3x(freq,-5,nlstate+ndeath,-5,nlstate+ndeath, iagemin, iagemax+3);    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);
     free_ma3x(freq,-5,nlstate+ndeath,-5,nlstate+ndeath, iagemin-AGEMARGE, iagemax+4+AGEMARGE);
     free_vector(pospropt,1,nlstate);
     free_vector(posprop,1,nlstate);
     free_matrix(prop,1,nlstate,iagemin-AGEMARGE, iagemax+4+AGEMARGE);
   free_vector(pp,1,nlstate);    free_vector(pp,1,nlstate);
   free_matrix(prop,1,nlstate,iagemin, iagemax+3);    /* End of freqsummary */
   /* End of Freq */  }
   
   /* 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 ********************/  /************ Prevalence ********************/
Line 2455  void prevalence(double ***probs, double Line 6186  void prevalence(double ***probs, double
      We still use firstpass and lastpass as another selection.       We still use firstpass and lastpass as another selection.
   */    */
     
   int i, m, jk, k1, i1, j1, bool, z1,j;    int i, m, jk, j1, bool, z1,j, iv;
   double ***freq; /* Frequencies */    int mi; /* Effective wave */
   double *pp, **prop;    int iage;
   double pos,posprop;     double agebegin, ageend;
   
     double **prop;
     double posprop; 
   double  y2; /* in fractional years */    double  y2; /* in fractional years */
   int iagemin, iagemax;    int iagemin, iagemax;
   int first; /** to stop verbosity which is redirected to log file */    int first; /** to stop verbosity which is redirected to log file */
Line 2466  void prevalence(double ***probs, double Line 6200  void prevalence(double ***probs, double
   iagemin= (int) agemin;    iagemin= (int) agemin;
   iagemax= (int) agemax;    iagemax= (int) agemax;
   /*pp=vector(1,nlstate);*/    /*pp=vector(1,nlstate);*/
   prop=matrix(1,nlstate,iagemin,iagemax+3);     prop=matrix(1,nlstate,iagemin-AGEMARGE,iagemax+4+AGEMARGE); 
   /*  freq=ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,iagemin,iagemax+3);*/    /*  freq=ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,iagemin,iagemax+3);*/
   j1=0;    j1=0;
       
   /*j=cptcoveff;*/    /*j=cptcoveff;*/
   if (cptcovn<1) {j=1;ncodemax[1]=1;}    if (cptcovn<1) {j=1;ncodemax[1]=1;}
       
   first=1;    first=0;
   for(j1=1; j1<= (int) pow(2,cptcoveff);j1++){    for(j1=1; j1<= (int) pow(2,cptcoveff);j1++){ /* For each combination of simple dummy covariates */
     /*for(i1=1; i1<=ncodemax[k1];i1++){      for (i=1; i<=nlstate; i++)  
       j1++;*/        for(iage=iagemin-AGEMARGE; iage <= iagemax+4+AGEMARGE; iage++)
                 prop[i][iage]=0.0;
       for (i=1; i<=nlstate; i++)        printf("Prevalence combination of varying and fixed dummies %d\n",j1);
         for(m=iagemin; m <= iagemax+3; m++)      /* fprintf(ficlog," V%d=%d ",Tvaraff[j1],nbcode[Tvaraff[j1]][codtabm(k,j1)]); */
           prop[i][m]=0.0;      fprintf(ficlog,"Prevalence combination of varying and fixed dummies %d\n",j1);
            
       for (i=1; i<=imx; i++) { /* Each individual */      for (i=1; i<=imx; i++) { /* Each individual */
         bool=1;        bool=1;
         if  (cptcovn>0) {        /* for(m=firstpass; m<=lastpass; m++){/\* Other selection (we can limit to certain interviews*\/ */
           for (z1=1; z1<=cptcoveff; z1++)         for(mi=1; mi<wav[i];mi++){ /* For this wave too look where individual can be counted V4=0 V3=0 */
             if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtab[j1][z1]])           m=mw[mi][i];
           /* Tmodelind[z1]=k is the position of the varying covariate in the model, but which # within 1 to ntv? */
           /* Tvar[Tmodelind[z1]] is the n of Vn; n-ncovcol-nqv is the first time varying covariate or iv */
           for (z1=1; z1<=cptcoveff; z1++){
             if( Fixed[Tmodelind[z1]]==1){
               iv= Tvar[Tmodelind[z1]];/* because cotvar starts now at first ncovcol+nqv+ (1 to nqtv) */ 
               if (cotvar[m][iv][i]!= nbcode[Tvaraff[z1]][codtabm(j1,TnsdVar[Tvaraff[z1]])]) /* iv=1 to ntv, right modality */
               bool=0;                bool=0;
         }             }else if( Fixed[Tmodelind[z1]]== 0)  /* fixed */
         if (bool==1) {               if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtabm(j1,TnsdVar[Tvaraff[z1]])]) {
           for(m=firstpass; m<=lastpass; m++){/* Other selection (we can limit to certain interviews*/                bool=0;
               }
           }
           if(bool==1){ /* Otherwise we skip that wave/person */
             agebegin=agev[m][i]; /* Age at beginning of wave before transition*/
             /* ageend=agev[m][i]+(dh[m][i])*stepm/YEARM; /\* Age at end of wave and transition *\/ */
             if(m >=firstpass && m <=lastpass){
             y2=anint[m][i]+(mint[m][i]/12.); /* Fractional date in year */              y2=anint[m][i]+(mint[m][i]/12.); /* Fractional date in year */
             if ((y2>=dateprev1) && (y2<=dateprev2)) { /* Here is the main selection (fractional years) */              if ((y2>=dateprev1) && (y2<=dateprev2)) { /* Here is the main selection (fractional years) */
               if(agev[m][i]==0) agev[m][i]=iagemax+1;                if(agev[m][i]==0) agev[m][i]=iagemax+1;
               if(agev[m][i]==1) agev[m][i]=iagemax+2;                if(agev[m][i]==1) agev[m][i]=iagemax+2;
               if((int)agev[m][i] <iagemin || (int)agev[m][i] >iagemax+3) printf("Error on individual =%d agev[m][i]=%f m=%d\n",i, agev[m][i],m);                 if((int)agev[m][i] <iagemin-AGEMARGE || (int)agev[m][i] >iagemax+4+AGEMARGE){
               if (s[m][i]>0 && s[m][i]<=nlstate) {                   printf("Error on individual # %d agev[m][i]=%f <%d-%d or > %d+3+%d  m=%d; either change agemin or agemax or fix data\n",i, agev[m][i],iagemin,AGEMARGE, iagemax,AGEMARGE,m); 
                   exit(1);
                 }
                 if (s[m][i]>0 && s[m][i]<=nlstate) { 
                 /*if(i>4620) printf(" i=%d m=%d s[m][i]=%d (int)agev[m][i]=%d weight[i]=%f prop=%f\n",i,m,s[m][i],(int)agev[m][m],weight[i],prop[s[m][i]][(int)agev[m][i]]);*/                  /*if(i>4620) printf(" i=%d m=%d s[m][i]=%d (int)agev[m][i]=%d weight[i]=%f prop=%f\n",i,m,s[m][i],(int)agev[m][m],weight[i],prop[s[m][i]][(int)agev[m][i]]);*/
                 prop[s[m][i]][(int)agev[m][i]] += weight[i];                  prop[s[m][i]][(int)agev[m][i]] += weight[i];/* At age of beginning of transition, where status is known */
                 prop[s[m][i]][iagemax+3] += weight[i];                   prop[s[m][i]][iagemax+3] += weight[i]; 
               }                 } /* end valid statuses */ 
             }              } /* end selection of dates */
           } /* end selection of waves */            } /* end selection of waves */
         }          } /* end bool */
       }        } /* end wave */
       for(i=iagemin; i <= iagemax+3; i++){        } /* end individual */
         for(jk=1,posprop=0; jk <=nlstate ; jk++) {       for(i=iagemin; i <= iagemax+3; i++){  
           posprop += prop[jk][i];         for(jk=1,posprop=0; jk <=nlstate ; jk++) { 
         }           posprop += prop[jk][i]; 
                 } 
         for(jk=1; jk <=nlstate ; jk++){             
           if( i <=  iagemax){         for(jk=1; jk <=nlstate ; jk++){       
             if(posprop>=1.e-5){           if( i <=  iagemax){ 
               probs[i][jk][j1]= prop[jk][i]/posprop;            if(posprop>=1.e-5){ 
             } else{              probs[i][jk][j1]= prop[jk][i]/posprop;
               if(first==1){            } else{
                 first=0;              if(!first){
                 printf("Warning Observed prevalence probs[%d][%d][%d]=%lf because of lack of cases\nSee others on log file...\n",jk,i,j1,probs[i][jk][j1]);                first=1;
               }                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]);
             }              }
           }             }
         }/* end jk */           } 
       }/* end i */         }/* end jk */ 
     /*} *//* end i1 */      }/* end i */ 
        /*} *//* end i1 */
   } /* end j1 */    } /* end j1 */
       
   /*  free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath, iagemin, iagemax+3);*/    /*  free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath, iagemin, iagemax+3);*/
   /*free_vector(pp,1,nlstate);*/    /*free_vector(pp,1,nlstate);*/
   free_matrix(prop,1,nlstate, iagemin,iagemax+3);    free_matrix(prop,1,nlstate, iagemin-AGEMARGE,iagemax+4+AGEMARGE);
 }  /* End of prevalence */  }  /* End of prevalence */
   
 /************* Waves Concatenation ***************/  /************* Waves Concatenation ***************/
   
 void  concatwav(int wav[], int **dh, int **bh,  int **mw, int **s, double *agedc, double **agev, int  firstpass, int lastpass, int imx, int nlstate, int stepm)  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).       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       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]       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, mi, m;    int i=0, mi=0, m=0, mli=0;
   /* int j, k=0,jk, ju, jl,jmin=1e+5, jmax=-1;    /* int j, k=0,jk, ju, jl,jmin=1e+5, jmax=-1;
      double sum=0., jmean=0.;*/       double sum=0., jmean=0.;*/
   int first;    int first=0, firstwo=0, firsthree=0, firstfour=0, firstfiv=0;
   int j, k=0,jk, ju, jl;    int j, k=0,jk, ju, jl;
   double sum=0.;    double sum=0.;
   first=0;    first=0;
   jmin=1e+5;    firstwo=0;
     firsthree=0;
     firstfour=0;
     jmin=100000;
   jmax=-1;    jmax=-1;
   jmean=0.;    jmean=0.;
   for(i=1; i<=imx; i++){  
     mi=0;  /* Treating live states */
     m=firstpass;    for(i=1; i<=imx; i++){  /* For simple cases and if state is death */
     while(s[m][i] <= nlstate){      mi=0;  /* First valid wave */
       if(s[m][i]>=1 || s[m][i]==-2 || s[m][i]==-4 || s[m][i]==-5)      mli=0; /* Last valid wave */
         mw[++mi][i]=m;      m=firstpass;  /* Loop on waves */
       if(m >=lastpass)      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; /* 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 */
   #ifdef UNKNOWNSTATUSNOTCONTRIBUTING
         break;          break;
       else  #else
         m++;          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);
               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++;
             }
             mw[++mi][i]=m; /* Valid transition with unknown status */
             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?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);
             }
             break;
           }
           break;
   #endif
         }/* End m >= lastpass */
     }/* end while */      }/* end while */
     if (s[m][i] > nlstate){  
       /* mi is the last effective wave, m is lastpass, mw[j][i] gives the # of j-th effective wave for individual i */
       /* After last pass */
   /* Treating death states */
       if (s[m][i] > nlstate){  /* In a death state */
         /* if( mint[m][i]==mdc[m][i] && anint[m][i]==andc[m][i]){ /\* same date of death and date of interview *\/ */
         /* } */
       mi++;     /* Death is another wave */        mi++;     /* Death is another wave */
       /* if(mi==0)  never been interviewed correctly before death */        /* if(mi==0)  never been interviewed correctly before death */
          /* Only death is a correct wave */        /* Only death is a correct wave */
       mw[mi][i]=m;        mw[mi][i]=m;
     }      } /* else not in a death state */
   #ifndef DISPATCHINGKNOWNDEATHAFTERLASTWAVE
     wav[i]=mi;      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.)){ /* 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 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 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 );
             }
               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 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 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 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  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]=mw[mi][i];   */
     if(mi==0){      if(mi==0){
       nbwarn++;        nbwarn++;
       if(first==0){        if(first==0){
Line 2582  void  concatwav(int wav[], int **dh, int Line 6411  void  concatwav(int wav[], int **dh, int
       }        }
     } /* end mi==0 */      } /* end mi==0 */
   } /* End individuals */    } /* 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(i=1; i<=imx; i++){
     for(mi=1; mi<wav[i];mi++){      for(mi=1; mi<wav[i];mi++){
       if (stepm <=0)        if (stepm <=0)
         dh[mi][i]=1;          dh[mi][i]=1;
       else{        else{
         if (s[mw[mi+1][i]][i] > nlstate) { /* A death */          if (s[mw[mi+1][i]][i] > nlstate) { /* A death, but what if date is unknown? */
           if (agedc[i] < 2*AGESUP) {            if (agedc[i] < 2*AGESUP) {
             j= rint(agedc[i]*12-agev[mw[mi][i]][i]*12);               j= rint(agedc[i]*12-agev[mw[mi][i]][i]*12); 
             if(j==0) j=1;  /* Survives at least one month after exam */              if(j==0) j=1;  /* Survives at least one month after exam */
Line 2617  void  concatwav(int wav[], int **dh, int Line 6451  void  concatwav(int wav[], int **dh, int
         else{          else{
           j= rint( (agev[mw[mi+1][i]][i]*12 - agev[mw[mi][i]][i]*12));            j= rint( (agev[mw[mi+1][i]][i]*12 - agev[mw[mi][i]][i]*12));
 /*        if (j<0) printf("%d %lf %lf %d %d %d\n", i,agev[mw[mi+1][i]][i], agev[mw[mi][i]][i],j,s[mw[mi][i]][i] ,s[mw[mi+1][i]][i]); */  /*        if (j<0) printf("%d %lf %lf %d %d %d\n", i,agev[mw[mi+1][i]][i], agev[mw[mi][i]][i],j,s[mw[mi][i]][i] ,s[mw[mi+1][i]][i]); */
                                           
           k=k+1;            k=k+1;
           if (j >= jmax) {            if (j >= jmax) {
             jmax=j;              jmax=j;
Line 2671  void  concatwav(int wav[], int **dh, int Line 6505  void  concatwav(int wav[], int **dh, int
   jmean=sum/k;    jmean=sum/k;
   printf("Delay (in months) between two waves Min=%d (for indiviudal %ld) Max=%d (%ld) Mean=%f\n\n ",jmin, num[ijmin], jmax, num[ijmax], jmean);    printf("Delay (in months) between two waves Min=%d (for indiviudal %ld) Max=%d (%ld) Mean=%f\n\n ",jmin, num[ijmin], jmax, num[ijmax], jmean);
   fprintf(ficlog,"Delay (in months) between two waves Min=%d (for indiviudal %d) Max=%d (%d) Mean=%f\n\n ",jmin, ijmin, jmax, ijmax, jmean);    fprintf(ficlog,"Delay (in months) between two waves Min=%d (for indiviudal %d) Max=%d (%d) Mean=%f\n\n ",jmin, ijmin, jmax, ijmax, jmean);
  }  }
   
 /*********** Tricode ****************************/  /*********** Tricode ****************************/
 void tricode(int *Tvar, int **nbcode, int imx, int *Ndum)   void tricode(int *cptcov, int *Tvar, int **nbcode, int imx, int *Ndum)
 {   {
   /**< Uses cptcovn+2*cptcovprod as the number of covariates */     /**< Uses cptcovn+2*cptcovprod as the number of covariates */
   /*      Tvar[i]=atoi(stre);  find 'n' in Vn and stores in Tvar. If model=V2+V1 Tvar[1]=2 and Tvar[2]=1      /*     Tvar[i]=atoi(stre);  find 'n' in Vn and stores in Tvar. If model=V2+V1 Tvar[1]=2 and Tvar[2]=1 
   /* Boring subroutine which should only output nbcode[Tvar[j]][k]      * Boring subroutine which should only output nbcode[Tvar[j]][k]
    * Tvar[5] in V2+V1+V3*age+V2*V4 is 2 (V2)      * Tvar[5] in V2+V1+V3*age+V2*V4 is 4 (V4) even it is a time varying or quantitative variable
   /* nbcode[Tvar[j]][1]=       * nbcode[Tvar[5]][1]= nbcode[4][1]=0, nbcode[4][2]=1 (usually);
   */      */
   
   int ij=1, k=0, j=0, i=0, maxncov=NCOVMAX;     int ij=1, k=0, j=0, i=0, maxncov=NCOVMAX;
   int modmaxcovj=0; /* Modality max of covariates j */     int modmaxcovj=0; /* Modality max of covariates j */
   int cptcode=0; /* Modality max of covariates j */     int cptcode=0; /* Modality max of covariates j */
   int modmincovj=0; /* Modality min of covariates j */     int modmincovj=0; /* Modality min of covariates j */
   
   
   cptcoveff=0;      /* cptcoveff=0;  */
      /* *cptcov=0; */
     
   for (k=-1; k < maxncov; k++) Ndum[k]=0;     for (k=1; k <= maxncov; k++) ncodemax[k]=0; /* Horrible constant again replaced by NCOVMAX */
   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++)
   /* Loop on covariates without age and products */         nbcode[k][j]=0; /* Valgrind */
   for (j=1; j<=(cptcovs); j++) { /* model V1 + V2*age+ V3 + V3*V4 : V1 + V3 = 2 only */  
     for (i=1; i<=imx; i++) { /* Lopp on individuals: reads the data file to get the maximum value of the      /* Loop on covariates without age and products and no quantitative variable */
                                modality of this covariate Vj*/      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 */
       ij=(int)(covar[Tvar[j]][i]); /* ij=0 or 1 or -1. Value of the covariate Tvar[j] for individual i       for (j=-1; (j < maxncov); j++) Ndum[j]=0;
                                     * If product of Vn*Vm, still boolean *:       /* printf("Testing k=%d, cptcovt=%d\n",k, cptcovt); */
                                     * If it was coded 1, 2, 3, 4 should be splitted into 3 boolean variables       if(Dummy[k]==0 && Typevar[k] !=1 && Typevar[k] != 3  && Typevar[k] != 2){ /* Dummy covariate and not age product nor fixed product */ 
                                     * 1 => 0 0 0, 2 => 0 0 1, 3 => 0 1 1, 4=1 0 0   */         switch(Fixed[k]) {
       /* Finds for covariate j, n=Tvar[j] of Vn . ij is the         case 0: /* Testing on fixed dummy covariate, simple or product of fixed */
                                       modality of the nth covariate of individual i. */           modmaxcovj=0;
       if (ij > modmaxcovj)           modmincovj=0;
         modmaxcovj=ij;            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*/
       else if (ij < modmincovj)              /* printf("Waiting for error tricode Tvar[%d]=%d i=%d (int)(covar[Tvar[k]][i]=%d\n",k,Tvar[k], i, (int)(covar[Tvar[k]][i])); */
         modmincovj=ij;              ij=(int)(covar[Tvar[k]][i]);
       if ((ij < -1) && (ij > NCOVMAX)){             /* ij=0 or 1 or -1. Value of the covariate Tvar[j] for individual i
         printf( "Error: minimal is less than -1 or maximal is bigger than %d. Exiting. \n", NCOVMAX );              * If product of Vn*Vm, still boolean *:
         exit(1);              * If it was coded 1, 2, 3, 4 should be splitted into 3 boolean variables
       }else              * 1 => 0 0 0, 2 => 0 0 1, 3 => 0 1 1, 4=1 0 0   */
       Ndum[ij]++; /*counts and stores the occurence of this modality 0, 1, -1*/             /* Finds for covariate j, n=Tvar[j] of Vn . ij is the
       /*  If coded 1, 2, 3 , counts the number of 1 Ndum[1], number of 2, Ndum[2], etc */                modality of the nth covariate of individual i. */
       /*printf("i=%d ij=%d Ndum[ij]=%d imx=%d",i,ij,Ndum[ij],imx);*/             if (ij > modmaxcovj)
       /* getting the maximum value of the modality of the covariate               modmaxcovj=ij; 
          (should be 0 or 1 now) Tvar[j]. If V=sex and male is coded 0 and             else if (ij < modmincovj) 
          female is 1, then modmaxcovj=1.*/               modmincovj=ij; 
     }             if (ij <0 || ij >1 ){
     printf(" Minimal and maximal values of %d th covariate V%d: min=%d max=%d \n", j, Tvar[j], modmincovj, modmaxcovj);               printf("ERROR, IMaCh doesn't treat covariate with missing values V%d=-1, individual %d will be skipped.\n",Tvar[k],i);
     cptcode=modmaxcovj;               fprintf(ficlog,"ERROR, currently IMaCh doesn't treat covariate with missing values V%d=-1, individual %d will be skipped.\n",Tvar[k],i);
     /* Ndum[0] = frequency of 0 for model-covariate j, Ndum[1] frequency of 1 etc. */               fflush(ficlog);
    /*for (i=0; i<=cptcode; i++) {*/               exit(1);
     for (i=modmincovj;  i<=modmaxcovj; i++) { /* i=-1 ? 0 and 1*//* For each value of the modality of model-cov j */             }
       printf("Frequencies of covariates %d V%d %d\n", j, Tvar[j], Ndum[i]);             if ((ij < -1) || (ij > NCOVMAX)){
       if( Ndum[i] != 0 ){ /* Counts if nobody answered, empty modality */               printf( "Error: minimal is less than -1 or maximal is bigger than %d. Exiting. \n", NCOVMAX );
         ncodemax[j]++;  /* ncodemax[j]= Number of non-null modalities of the j th covariate. */               exit(1);
       }             }else
       /* In fact  ncodemax[j]=2 (dichotom. variables only) but it could be more for               Ndum[ij]++; /*counts and stores the occurence of this modality 0, 1, -1*/
          historical reasons: 3 if coded 1, 2, 3 and 4 and Ndum[2]=0 */             /*  If coded 1, 2, 3 , counts the number of 1 Ndum[1], number of 2, Ndum[2], etc */
     } /* Ndum[-1] number of undefined modalities */             /*printf("i=%d ij=%d Ndum[ij]=%d imx=%d",i,ij,Ndum[ij],imx);*/
              /* getting the maximum value of the modality of the covariate
     /* j is a covariate, n=Tvar[j] of Vn; Fills nbcode */                (should be 0 or 1 now) Tvar[j]. If V=sex and male is coded 0 and
     /* For covariate j, modalities could be 1, 2, 3, 4. If Ndum[2]=0 ncodemax[j] is not 4 but 3 */                female ies 1, then modmaxcovj=1.
     /* If Ndum[3}= 635; Ndum[4]=0; Ndum[5]=0; Ndum[6]=27; Ndum[7]=125;             */
        modmincovj=3; modmaxcovj = 7;           } /* end for loop on individuals i */
        There are only 3 modalities non empty (or 2 if 27 is too few) : ncodemax[j]=3;           printf(" Minimal and maximal values of %d th (fixed) covariate V%d: min=%d max=%d \n", k, Tvar[k], modmincovj, modmaxcovj);
        which will be coded 0, 1, 2 which in binary on 3-1 digits are 0=00 1=01, 2=10; defining two dummy            fprintf(ficlog," Minimal and maximal values of %d th (fixed) covariate V%d: min=%d max=%d \n", k, Tvar[k], modmincovj, modmaxcovj);
        variables V1_1 and V1_2.           cptcode=modmaxcovj;
        nbcode[Tvar[j]][ij]=k;           /* Ndum[0] = frequency of 0 for model-covariate j, Ndum[1] frequency of 1 etc. */
        nbcode[Tvar[j]][1]=0;           /*for (i=0; i<=cptcode; i++) {*/
        nbcode[Tvar[j]][2]=1;           for (j=modmincovj;  j<=modmaxcovj; j++) { /* j=-1 ? 0 and 1*//* For each value j of the modality of model-cov k */
        nbcode[Tvar[j]][3]=2;             printf("Frequencies of (fixed) covariate %d ie V%d with value %d: %d\n", k, Tvar[k], j, Ndum[j]);
     */             fprintf(ficlog, "Frequencies of (fixed) covariate %d ie V%d with value %d: %d\n", k, Tvar[k], j, Ndum[j]);
     ij=1; /* ij is similar to i but can jumps over null modalities */             if( Ndum[j] != 0 ){ /* Counts if nobody answered modality j ie empty modality, we skip it and reorder */
     for (i=modmincovj; i<=modmaxcovj; i++) { /* i= 1 to 2 for dichotomous, or from 1 to 3 */               if( j != -1){
       for (k=0; k<= cptcode; k++) { /* k=-1 ? k=0 to 1 *//* Could be 1 to 4 */                 ncodemax[k]++;  /* ncodemax[k]= Number of modalities of the k th
         /*recode from 0 */                                    covariate for which somebody answered excluding 
         if (Ndum[k] != 0) { /* If at least one individual responded to this modality k */                                    undefined. Usually 2: 0 and 1. */
           nbcode[Tvar[j]][ij]=k;  /* stores the modality in an array nbcode.                }
                                      k is a modality. If we have model=V1+V1*sex                ncodemaxwundef[k]++; /* ncodemax[j]= Number of modalities of the k th
                                      then: nbcode[1][1]=0 ; nbcode[1][2]=1; nbcode[2][1]=0 ; nbcode[2][2]=1; */                                       covariate for which somebody answered including 
           ij++;                                       undefined. Usually 3: -1, 0 and 1. */
         }             }    /* In fact  ncodemax[k]=2 (dichotom. variables only) but it could be more for
         if (ij > ncodemax[j]) break;                    * historical reasons: 3 if coded 1, 2, 3 and 4 and Ndum[2]=0 */
       }  /* end of loop on */           } /* Ndum[-1] number of undefined modalities */
     } /* end of loop on modality */                           
   } /* end of loop on model-covariate j. nbcode[Tvarj][1]=0 and nbcode[Tvarj][2]=1 sets the value of covariate j*/             /* j is a covariate, n=Tvar[j] of Vn; Fills nbcode */
              /* For covariate j, modalities could be 1, 2, 3, 4, 5, 6, 7. */
  for (k=-1; k< maxncov; k++) Ndum[k]=0;            /* If Ndum[1]=0, Ndum[2]=0, Ndum[3]= 635, Ndum[4]=0, Ndum[5]=0, Ndum[6]=27, Ndum[7]=125; */
              /* modmincovj=3; modmaxcovj = 7; */
   for (i=1; i<=ncovmodel-2; i++) { /* -2, cste and age */            /* There are only 3 modalities non empty 3, 6, 7 (or 2 if 27 is too few) : ncodemax[j]=3; */
    /* Listing of all covariables in statement model to see if some covariates appear twice. For example, V1 appears twice in V1+V1*V2.*/            /* which will be coded 0, 1, 2 which in binary on 2=3-1 digits are 0=00 1=01, 2=10; */
    ij=Tvar[i]; /* Tvar might be -1 if status was unknown */            /*              defining two dummy variables: variables V1_1 and V1_2.*/
    Ndum[ij]++;            /* nbcode[Tvar[j]][ij]=k; */
  }            /* nbcode[Tvar[j]][1]=0; */
            /* nbcode[Tvar[j]][2]=1; */
  ij=1;           /* nbcode[Tvar[j]][3]=2; */
  for (i=0; i<=  maxncov-1; i++) { /* modmaxcovj is unknown here. Only Ndum[2(V2),3(age*V3), 5(V3*V2) 6(V1*V4) */           /* To be continued (not working yet). */
    /*printf("Ndum[%d]=%d\n",i, Ndum[i]);*/           ij=0; /* ij is similar to i but can jump over null modalities */
    if((Ndum[i]!=0) && (i<=ncovcol)){  
      /*printf("diff Ndum[%d]=%d\n",i, Ndum[i]);*/           /* 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*/
      Tvaraff[ij]=i; /*For printing (unclear) */           /* Skipping the case of missing values by reducing nbcode to 0 and 1 and not -1, 0, 1 */
      ij++;           /* model=V1+V2+V3, if V2=-1, 0 or 1, then nbcode[2][1]=0 and nbcode[2][2]=1 instead of
    }else            * nbcode[2][1]=-1, nbcode[2][2]=0 and nbcode[2][3]=1 */
        Tvaraff[ij]=0;           /*, 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 . Could be -1*/
              cptcode = ij; /* New max modality for covar j */
            } /* end of loop on modality i=-1 to 1 or more */
            break;
          case 1: /* Testing on varying covariate, could be simple and
                   * should look at waves or product of fixed *
                   * varying. No time to test -1, assuming 0 and 1 only */
            ij=0;
            for(i=0; i<=1;i++){
              nbcode[Tvar[k]][++ij]=i;
            }
            break;
          default:
            break;
          } /* end switch */
        } /* end dummy test */
        if(Dummy[k]==1 && Typevar[k] !=1 && Typevar[k] !=3 && Fixed ==0){ /* Fixed Quantitative covariate and not age product */ 
          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*/
            if(Tvar[k]<=0 || Tvar[k]>=NCOVMAX){
              printf("Error k=%d \n",k);
              exit(1);
            }
            if(isnan(covar[Tvar[k]][i])){
              printf("ERROR, IMaCh doesn't treat fixed quantitative covariate with missing values V%d=., individual %d will be skipped.\n",Tvar[k],i);
              fprintf(ficlog,"ERROR, currently IMaCh doesn't treat covariate with missing values V%d=., individual %d will be skipped.\n",Tvar[k],i);
              fflush(ficlog);
              exit(1);
            }
          }
        } /* end Quanti */
      } /* 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 */
      for (i=1; i<=ncovmodel-2-nagesqr; i++) { /* -2, cste and age and eventually age*age */ 
        /* Listing of all covariables in statement model to see if some covariates appear twice. For example, V1 appears twice in V1+V1*V2.*/ 
        ij=Tvar[i]; /* Tvar 5,4,3,6,5,7,1,4 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V4*age */ 
        Ndum[ij]++; /* Count the # of 1, 2 etc: {1,1,1,2,2,1,1} because V1 once, V2 once, two V4 and V5 in above */
        /* V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1,  {2, 1, 1, 1, 2, 1, 1, 0, 0} */
      } /* V4+V3+V5, Ndum[1]@5={0, 0, 1, 1, 1} */
     
      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++) { /* 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 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, *//* 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 */
          if(Fixed[k]!=0)
            anyvaryingduminmodel=1;
          /* }else if((Ndum[i]!=0) && (i<=ncovcol+nqv)){ */
          /*   Tvaraff[++ij]=-10; /\* Dont'n know how to treat quantitative variables yet *\/ */
          /* }else if((Ndum[i]!=0) && (i<=ncovcol+nqv+ntv)){ */
          /*   Tvaraff[++ij]=i; /\*For printing (unclear) *\/ */
          /* }else if((Ndum[i]!=0) && (i<=ncovcol+nqv+ntv+nqtv)){ */
          /*   Tvaraff[++ij]=-20; /\* Dont'n know how to treat quantitative variables yet *\/ */
        } 
      } /* Tvaraff[1]@5 {3, 4, -20, 0, 0} Very strange */
      /* ij--; */
      /* cptcoveff=ij; /\*Number of total covariates*\/ */
      *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++){
        Tvaraff[j]=0;
        Tmodelind[j]=0;
      }
      for(j=ntveff+1; j<= cptcovt; j++){
        TmodelInvind[j]=0;
      }
      /* To be sorted */
      ;
  }   }
  ij--;  
  cptcoveff=ij; /*Number of total covariates*/  
   
 }  
   
   
 /*********** Health Expectancies ****************/  /*********** Health Expectancies ****************/
   
 void evsij(double ***eij, double x[], int nlstate, int stepm, int bage, int fage, double **oldm, double **savm, int cij, int estepm,char strstart[] )   void evsij(double ***eij, double x[], int nlstate, int stepm, int bage, int fage, double **oldm, double **savm, int cij, int estepm,char strstart[], int nres )
   
 {  {
   /* Health expectancies, no variances */    /* Health expectancies, no variances */
   int i, j, nhstepm, hstepm, h, nstepm, k, cptj, cptj2, i2, j2;    /* 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 */    int nhstepma, nstepma; /* Decreasing with age */
   double age, agelim, hf;    double age, agelim, hf;
   double ***p3mat;    double ***p3mat;
   double eip;    double eip;
   
   pstamp(ficreseij);    /* pstamp(ficreseij); */
   fprintf(ficreseij,"# (a) Life expectancies by health status at initial age and (b) health expectancies by health status at initial age\n");    fprintf(ficreseij,"# (a) Life expectancies by health status at initial age and (b) health expectancies by health status at initial age\n");
   fprintf(ficreseij,"# Age");    fprintf(ficreseij,"# Age");
   for(i=1; i<=nlstate;i++){    for(i=1; i<=nlstate;i++){
Line 2826  void evsij(double ***eij, double x[], in Line 6750  void evsij(double ***eij, double x[], in
   /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm.     /* 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        nhstepm is the number of hstepm from age to agelim 
      nstepm is the number of stepm from age to agelin.        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 */       and note for a fixed period like estepm months */
   /* We decided (b) to get a life expectancy respecting the most precise curvature of the    /* 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       survival function given by stepm (the optimization length). Unfortunately it
Line 2857  void evsij(double ***eij, double x[], in Line 6781  void evsij(double ***eij, double x[], in
     /* If stepm=6 months */      /* If stepm=6 months */
     /* Computed by stepm unit matrices, product of hstepma matrices, stored      /* Computed by stepm unit matrices, product of hstepma matrices, stored
        in an array of nhstepma length: nhstepma=10, hstepm=4, stepm=6 months */         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);        hpxij(p3mat,nhstepma,age,hstepm,x,nlstate,stepm,oldm, savm, cij, nres);  
           
     hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */      hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
           
Line 2893  void evsij(double ***eij, double x[], in Line 6817  void evsij(double ***eij, double x[], in
       
 }  }
   
 void cvevsij(double ***eij, double x[], int nlstate, int stepm, int bage, int fage, double **oldm, double **savm, int cij, int estepm,double delti[],double **matcov,char strstart[] )   void cvevsij(double ***eij, double x[], int nlstate, int stepm, int bage, int fage, double **oldm, double **savm, int cij, int estepm,double delti[],double **matcov,char strstart[], int nres )
   
 {  {
   /* Covariances of health expectancies eij and of total life expectancies according    /* Covariances of health expectancies eij and of total life expectancies according
    to initial status i, ei. .       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 i, j, nhstepm, hstepm, h, nstepm, k, cptj, cptj2, i2, j2, ij, ji;
   int nhstepma, nstepma; /* Decreasing with age */    int nhstepma, nstepma; /* Decreasing with age */
   double age, agelim, hf;    double age, agelim, hf;
Line 2991  void cvevsij(double ***eij, double x[], Line 6916  void cvevsij(double ***eij, double x[],
     /* Typically if 20 years nstepm = 20*12/6=40 stepm */       /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
     /* if (stepm >= YEARM) hstepm=1;*/      /* if (stepm >= YEARM) hstepm=1;*/
     nhstepma = nstepma/hstepm;/* Expressed in hstepm, typically nhstepma=40/4=10 */      nhstepma = nstepma/hstepm;/* Expressed in hstepm, typically nhstepma=40/4=10 */
                   
     /* If stepm=6 months */      /* If stepm=6 months */
     /* Computed by stepm unit matrices, product of hstepma matrices, stored      /* Computed by stepm unit matrices, product of hstepma matrices, stored
        in an array of nhstepma length: nhstepma=10, hstepm=4, stepm=6 months */         in an array of nhstepma length: nhstepma=10, hstepm=4, stepm=6 months */
           
     hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */      hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
                   
     /* Computing  Variances of health expectancies */      /* Computing  Variances of health expectancies */
     /* Gradient is computed with plus gp and minus gm. Code is duplicated in order to      /* Gradient is computed with plus gp and minus gm. Code is duplicated in order to
        decrease memory allocation */         decrease memory allocation */
Line 3006  void cvevsij(double ***eij, double x[], Line 6931  void cvevsij(double ***eij, double x[],
         xp[i] = x[i] + (i==theta ?delti[theta]:0);          xp[i] = x[i] + (i==theta ?delti[theta]:0);
         xm[i] = x[i] - (i==theta ?delti[theta]:0);          xm[i] = x[i] - (i==theta ?delti[theta]:0);
       }        }
       hpxij(p3matp,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, cij);          hpxij(p3matp,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, cij, nres);  
       hpxij(p3matm,nhstepm,age,hstepm,xm,nlstate,stepm,oldm,savm, cij);          hpxij(p3matm,nhstepm,age,hstepm,xm,nlstate,stepm,oldm,savm, cij, nres);  
                             
       for(j=1; j<= nlstate; j++){        for(j=1; j<= nlstate; j++){
         for(i=1; i<=nlstate; i++){          for(i=1; i<=nlstate; i++){
           for(h=0; h<=nhstepm-1; h++){            for(h=0; h<=nhstepm-1; h++){
Line 3017  void cvevsij(double ***eij, double x[], Line 6942  void cvevsij(double ***eij, double x[],
           }            }
         }          }
       }        }
                                
       for(ij=1; ij<= nlstate*nlstate; ij++)        for(ij=1; ij<= nlstate*nlstate; ij++)
         for(h=0; h<=nhstepm-1; h++){          for(h=0; h<=nhstepm-1; h++){
           gradg[h][theta][ij]= (gp[h][ij]-gm[h][ij])/2./delti[theta];            gradg[h][theta][ij]= (gp[h][ij]-gm[h][ij])/2./delti[theta];
Line 3030  void cvevsij(double ***eij, double x[], Line 6955  void cvevsij(double ***eij, double x[],
         for(theta=1; theta <=npar; theta++)          for(theta=1; theta <=npar; theta++)
           trgradg[h][j][theta]=gradg[h][theta][j];            trgradg[h][j][theta]=gradg[h][theta][j];
           
                   
      for(ij=1;ij<=nlstate*nlstate;ij++)      for(ij=1;ij<=nlstate*nlstate;ij++)
       for(ji=1;ji<=nlstate*nlstate;ji++)        for(ji=1;ji<=nlstate*nlstate;ji++)
         varhe[ij][ji][(int)age] =0.;          varhe[ij][ji][(int)age] =0.;
                   
      printf("%d|",(int)age);fflush(stdout);      printf("%d|",(int)age);fflush(stdout);
      fprintf(ficlog,"%d|",(int)age);fflush(ficlog);      fprintf(ficlog,"%d|",(int)age);fflush(ficlog);
      for(h=0;h<=nhstepm-1;h++){      for(h=0;h<=nhstepm-1;h++){
       for(k=0;k<=nhstepm-1;k++){        for(k=0;k<=nhstepm-1;k++){
         matprod2(dnewm,trgradg[h],1,nlstate*nlstate,1,npar,1,npar,matcov);          matprod2(dnewm,trgradg[h],1,nlstate*nlstate,1,npar,1,npar,matcov);
         matprod2(doldm,dnewm,1,nlstate*nlstate,1,npar,1,nlstate*nlstate,gradg[k]);          matprod2(doldm,dnewm,1,nlstate*nlstate,1,npar,1,nlstate*nlstate,gradg[k]);
Line 3046  void cvevsij(double ***eij, double x[], Line 6971  void cvevsij(double ***eij, double x[],
             varhe[ij][ji][(int)age] += doldm[ij][ji]*hf*hf;              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 */      /* Computing expectancies */
     hpxij(p3matm,nhstepm,age,hstepm,x,nlstate,stepm,oldm, savm, cij);        hpxij(p3matm,nhstepm,age,hstepm,x,nlstate,stepm,oldm, savm, cij,nres);  
     for(i=1; i<=nlstate;i++)      for(i=1; i<=nlstate;i++)
       for(j=1; j<=nlstate;j++)        for(j=1; j<=nlstate;j++)
         for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){          for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){
           eij[i][j][(int)age] += (p3matm[i][j][h]+p3matm[i][j][h+1])/2.0*hf;            eij[i][j][(int)age] += (p3matm[i][j][h]+p3matm[i][j][h+1])/2.0*hf;
                                                     
           /* if((int)age==70)printf("i=%2d,j=%2d,h=%2d,age=%3d,%9.4f,%9.4f,%9.4f\n",i,j,h,(int)age,p3mat[i][j][h],hf,eij[i][j][(int)age]);*/            /* if((int)age==70)printf("i=%2d,j=%2d,h=%2d,age=%3d,%9.4f,%9.4f,%9.4f\n",i,j,h,(int)age,p3mat[i][j][h],hf,eij[i][j][(int)age]);*/
                                           
         }          }
   
       /* Standard deviation of expectancies ij */         
     fprintf(ficresstdeij,"%3.0f",age );      fprintf(ficresstdeij,"%3.0f",age );
     for(i=1; i<=nlstate;i++){      for(i=1; i<=nlstate;i++){
       eip=0.;        eip=0.;
Line 3071  void cvevsij(double ***eij, double x[], Line 6999  void cvevsij(double ***eij, double x[],
       fprintf(ficresstdeij," %9.4f (%.4f)", eip, sqrt(vip));        fprintf(ficresstdeij," %9.4f (%.4f)", eip, sqrt(vip));
     }      }
     fprintf(ficresstdeij,"\n");      fprintf(ficresstdeij,"\n");
                   
       /* Variance of expectancies ij */           
     fprintf(ficrescveij,"%3.0f",age );      fprintf(ficrescveij,"%3.0f",age );
     for(i=1; i<=nlstate;i++)      for(i=1; i<=nlstate;i++)
       for(j=1; j<=nlstate;j++){        for(j=1; j<=nlstate;j++){
Line 3084  void cvevsij(double ***eij, double x[], Line 7013  void cvevsij(double ***eij, double x[],
           }            }
       }        }
     fprintf(ficrescveij,"\n");      fprintf(ficrescveij,"\n");
                      
   }    }
   free_matrix(gm,0,nhstepm,1,nlstate*nlstate);    free_matrix(gm,0,nhstepm,1,nlstate*nlstate);
   free_matrix(gp,0,nhstepm,1,nlstate*nlstate);    free_matrix(gp,0,nhstepm,1,nlstate*nlstate);
Line 3094  void cvevsij(double ***eij, double x[], Line 7023  void cvevsij(double ***eij, double x[],
   free_ma3x(p3matp,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);    free_ma3x(p3matp,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
   printf("\n");    printf("\n");
   fprintf(ficlog,"\n");    fprintf(ficlog,"\n");
           
     free_vector(xm,1,npar);
     free_vector(xp,1,npar);
     free_matrix(dnewm,1,nlstate*nlstate,1,npar);
     free_matrix(doldm,1,nlstate*nlstate,1,nlstate*nlstate);
     free_ma3x(varhe,1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int)fage);
   }
    
   /************ Variance ******************/
    void varevsij(char optionfilefiname[], double ***vareij, double **matcov, double x[], double delti[], int nlstate, int stepm, double bage, double fage, double **oldm, double **savm, double **prlim, double ftolpl, int *ncvyearp, int ij, int estepm, int cptcov, int cptcod, int popbased, int mobilav, char strstart[], int nres)
    {
      /** Variance of health expectancies 
       *  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);
       * double **newm;
       * int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav) 
       */
     
      /* int movingaverage(); */
      double **dnewm,**doldm;
      double **dnewmp,**doldmp;
      int i, j, nhstepm, hstepm, h, nstepm ;
      int first=0;
      int k;
      double *xp;
      double **gp, **gm;  /**< for var eij */
      double ***gradg, ***trgradg; /**< for var eij */
      double **gradgp, **trgradgp; /**< for var p point j */
      double *gpp, *gmp; /**< for var p point j */
      double **varppt; /**< for var p point j nlstate to nlstate+ndeath */
      double ***p3mat;
      double age,agelim, hf;
      /* double ***mobaverage; */
      int theta;
      char digit[4];
      char digitp[25];
   
      char fileresprobmorprev[FILENAMELENGTH];
   
      if(popbased==1){
        if(mobilav!=0)
          strcpy(digitp,"-POPULBASED-MOBILAV_");
        else strcpy(digitp,"-POPULBASED-NOMOBIL_");
      }
      else 
        strcpy(digitp,"-STABLBASED_");
   
      /* if (mobilav!=0) { */
      /*   mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
      /*   if (movingaverage(probs, bage, fage, mobaverage,mobilav)!=0){ */
      /*     fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav); */
      /*     printf(" Error in movingaverage mobilav=%d\n",mobilav); */
      /*   } */
      /* } */
   
      strcpy(fileresprobmorprev,"PRMORPREV-"); 
      sprintf(digit,"%-d",ij);
      /*printf("DIGIT=%s, ij=%d ijr=%-d|\n",digit, ij,ij);*/
      strcat(fileresprobmorprev,digit); /* Tvar to be done */
      strcat(fileresprobmorprev,digitp); /* Popbased or not, mobilav or not */
      strcat(fileresprobmorprev,fileresu);
      if((ficresprobmorprev=fopen(fileresprobmorprev,"w"))==NULL) {
        printf("Problem with resultfile: %s\n", fileresprobmorprev);
        fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobmorprev);
      }
      printf("Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
      fprintf(ficlog,"Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
      pstamp(ficresprobmorprev);
      fprintf(ficresprobmorprev,"# probabilities of dying before estepm=%d months for people of exact age and weighted probabilities w1*p1j+w2*p2j+... stand dev in()\n",estepm);
      fprintf(ficresprobmorprev,"# Selected quantitative variables and dummies");
   
      /* 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]]); */
        fprintf(ficresprobmorprev," V%d=%lg ",Tvresult[nres][j],TinvDoQresult[nres][Tvresult[nres][j]]);
      }
      /* for(j=1;j<=cptcoveff;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);
      for(j=nlstate+1; j<=(nlstate+ndeath);j++){
        fprintf(ficresprobmorprev," p.%-d SE",j);
        for(i=1; i<=nlstate;i++)
          fprintf(ficresprobmorprev," w%1d p%-d%-d",i,i,j);
      }  
      fprintf(ficresprobmorprev,"\n");
     
      fprintf(ficgp,"\n# Routine varevsij");
      fprintf(ficgp,"\nunset title \n");
      /* fprintf(fichtm, "#Local time at start: %s", strstart);*/
      fprintf(fichtm,"\n<li><h4> Computing probabilities of dying over estepm months as a weighted average (i.e global mortality independent of initial healh state)</h4></li>\n");
      fprintf(fichtm,"\n<br>%s  <br>\n",digitp);
   
      varppt = matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
      pstamp(ficresvij);
      fprintf(ficresvij,"# Variance and covariance of health expectancies e.j \n#  (weighted average of eij where weights are ");
      if(popbased==1)
        fprintf(ficresvij,"the age specific prevalence observed (cross-sectionally) in the population i.e cross-sectionally\n in each health state (popbased=1) (mobilav=%d\n",mobilav);
      else
        fprintf(ficresvij,"the age specific period (stable) prevalences in each health state \n");
      fprintf(ficresvij,"# Age");
      for(i=1; i<=nlstate;i++)
        for(j=1; j<=nlstate;j++)
          fprintf(ficresvij," Cov(e.%1d, e.%1d)",i,j);
      fprintf(ficresvij,"\n");
   
      xp=vector(1,npar);
      dnewm=matrix(1,nlstate,1,npar);
      doldm=matrix(1,nlstate,1,nlstate);
      dnewmp= matrix(nlstate+1,nlstate+ndeath,1,npar);
      doldmp= matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
   
      gradgp=matrix(1,npar,nlstate+1,nlstate+ndeath);
      gpp=vector(nlstate+1,nlstate+ndeath);
      gmp=vector(nlstate+1,nlstate+ndeath);
      trgradgp =matrix(nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
     
      if(estepm < stepm){
        printf ("Problem %d lower than %d\n",estepm, stepm);
      }
      else  hstepm=estepm;   
      /* For example we decided to compute the life expectancy with the smallest unit */
      /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
         nhstepm is the number of hstepm from age to agelim 
         nstepm is the number of stepm from age to agelim. 
         Look at function hpijx to understand why because of memory size limitations, 
         we decided (b) to get a life expectancy respecting the most precise curvature of the
         survival function given by stepm (the optimization length). Unfortunately it
         means that if the survival funtion is printed every two years of age and if
         you sum them up and add 1 year (area under the trapezoids) you won't get the same 
         results. So we changed our mind and took the option of the best precision.
      */
      hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
      agelim = AGESUP;
      for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
        nstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
        nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
        p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
        gradg=ma3x(0,nhstepm,1,npar,1,nlstate);
        gp=matrix(0,nhstepm,1,nlstate);
        gm=matrix(0,nhstepm,1,nlstate);
                   
                   
        for(theta=1; theta <=npar; theta++){
          for(i=1; i<=npar; i++){ /* Computes gradient x + delta*/
            xp[i] = x[i] + (i==theta ?delti[theta]:0);
          }
          /**< 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++)
                prlim[i][i]=probs[(int)age][i][ij];
            }else{ /* mobilav */ 
              for(i=1; i<=nlstate;i++)
                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=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 shifted+ probability of death (h=1 means
             computed over hstepm matrices product = hstepm*stepm months) 
             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];
          }
          
          /* 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) {
            if(mobilav ==0){
              for(i=1; i<=nlstate;i++)
                prlim[i][i]=probs[(int)age][i][ij];
            }else{ /* mobilav */ 
              for(i=1; i<=nlstate;i++)
                prlim[i][i]=mobaverage[(int)age][i][ij];
            }
          }
                           
          hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij,nres);  
                           
          for(j=1; j<= nlstate; j++){  /* Sum of wi * eij = e.j */
            for(h=0; h<=nhstepm; h++){
              for(i=1, gm[h][j]=0.;i<=nlstate;i++)
                gm[h][j] += prlim[i][i]*p3mat[i][j][h];
            }
          }
          /* This for computing probability of death (h=1 means
             computed over hstepm matrices product = hstepm*stepm months) 
             as a weighted average of prlim.
          */
          for(j=nlstate+1;j<=nlstate+ndeath;j++){
            for(i=1,gmp[j]=0.; i<= nlstate; i++)
              gmp[j] += prlim[i][i]*p3mat[i][j][1];
          }    
          /* end 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 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 */
          for(j=1; j<=nlstate;j++)
            for(theta=1; theta <=npar; theta++)
              trgradg[h][j][theta]=gradg[h][theta][j];
                   
        for(j=nlstate+1; j<=nlstate+ndeath;j++) /* mu */
          for(theta=1; theta <=npar; theta++)
            trgradgp[j][theta]=gradgp[theta][j];
        /**< 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);
            matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg[k]);
            for(i=1;i<=nlstate;i++)
              for(j=1;j<=nlstate;j++)
                vareij[i][j][(int)age] += doldm[i][j]*hf*hf;
          }
        }
                   
        /* pptj 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++)
          for(i=nlstate+1;i<=nlstate+ndeath;i++)
            varppt[j][i]=doldmp[j][i];
        /* end ppptj */
        /*  x centered again */
                   
        prevalim(prlim,nlstate,x,age,oldm,savm,ftolpl,ncvyearp,ij, nres);
                   
        if (popbased==1) {
          if(mobilav ==0){
            for(i=1; i<=nlstate;i++)
              prlim[i][i]=probs[(int)age][i][ij];
          }else{ /* mobilav */ 
            for(i=1; i<=nlstate;i++)
              prlim[i][i]=mobaverage[(int)age][i][ij];
          }
        }
                   
        /* This for computing probability of death (h=1 means
           computed over hstepm (estepm) matrices product = hstepm*stepm months) 
           as a weighted average of prlim.
        */
        hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm,savm, ij, nres);  
        for(j=nlstate+1;j<=nlstate+ndeath;j++){
          for(i=1,gmp[j]=0.;i<= nlstate; i++) 
            gmp[j] += prlim[i][i]*p3mat[i][j][1]; 
        }    
        /* end probability of death */
                   
        fprintf(ficresprobmorprev,"%3d %d ",(int) age, ij);
        for(j=nlstate+1; j<=(nlstate+ndeath);j++){
          fprintf(ficresprobmorprev," %11.3e %11.3e",gmp[j], sqrt(varppt[j][j]));
          for(i=1; i<=nlstate;i++){
            fprintf(ficresprobmorprev," %11.3e %11.3e ",prlim[i][i],p3mat[i][j][1]);
          }
        } 
        fprintf(ficresprobmorprev,"\n");
                   
        fprintf(ficresvij,"%.0f ",age );
        for(i=1; i<=nlstate;i++)
          for(j=1; j<=nlstate;j++){
            fprintf(ficresvij," %.4f", vareij[i][j][(int)age]);
          }
        fprintf(ficresvij,"\n");
        free_matrix(gp,0,nhstepm,1,nlstate);
        free_matrix(gm,0,nhstepm,1,nlstate);
        free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate);
        free_ma3x(trgradg,0,nhstepm,1,nlstate,1,npar);
        free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
      } /* End age */
      free_vector(gpp,nlstate+1,nlstate+ndeath);
      free_vector(gmp,nlstate+1,nlstate+ndeath);
      free_matrix(gradgp,1,npar,nlstate+1,nlstate+ndeath);
      free_matrix(trgradgp,nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
      /* fprintf(ficgp,"\nunset parametric;unset label; set ter png small size 320, 240"); */
      fprintf(ficgp,"\nunset parametric;unset label; set ter svg size 640, 480");
      /* for(j=nlstate+1; j<= nlstate+ndeath; j++){ *//* Only the first actually */
      fprintf(ficgp,"\n set log y; unset log x;set xlabel \"Age\"; set ylabel \"Force of mortality (year-1)\";");
      fprintf(ficgp,"\nset out \"%s%s.svg\";",subdirf3(optionfilefiname,"VARMUPTJGR-",digitp),digit);
      /*   fprintf(ficgp,"\n plot \"%s\"  u 1:($3*%6.3f) not w l 1 ",fileresprobmorprev,YEARM/estepm); */
      /*   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)*%6.3f) t \"95\%% interval\" w l 2 ",fileresprobmorprev,YEARM/estepm); */
      /*   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)*%6.3f) not w l 2 ",fileresprobmorprev,YEARM/estepm); */
      fprintf(ficgp,"\n plot \"%s\"  u 1:($3) not w l lt 1 ",subdirf(fileresprobmorprev));
      fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)) t \"95%% interval\" w l lt 2 ",subdirf(fileresprobmorprev));
      fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)) not w l lt 2 ",subdirf(fileresprobmorprev));
      fprintf(fichtm,"\n<br> File (multiple files are possible if covariates are present): <A href=\"%s\">%s</a>\n",subdirf(fileresprobmorprev),subdirf(fileresprobmorprev));
      fprintf(fichtm,"\n<br> Probability is computed over estepm=%d months. <br> <img src=\"%s%s.svg\"> <br>\n", estepm,subdirf3(optionfilefiname,"VARMUPTJGR-",digitp),digit);
      /*  fprintf(fichtm,"\n<br> Probability is computed over estepm=%d months and then divided by estepm and multiplied by %.0f in order to have the probability to die over a year <br> <img src=\"varmuptjgr%s%s.svg\"> <br>\n", stepm,YEARM,digitp,digit);
       */
      /*   fprintf(ficgp,"\nset out \"varmuptjgr%s%s%s.svg\";replot;",digitp,optionfilefiname,digit); */
      fprintf(ficgp,"\nset out;\nset out \"%s%s.svg\";replot;set out;\n",subdirf3(optionfilefiname,"VARMUPTJGR-",digitp),digit);
   
   free_vector(xm,1,npar);     free_vector(xp,1,npar);
   free_vector(xp,1,npar);     free_matrix(doldm,1,nlstate,1,nlstate);
   free_matrix(dnewm,1,nlstate*nlstate,1,npar);     free_matrix(dnewm,1,nlstate,1,npar);
   free_matrix(doldm,1,nlstate*nlstate,1,nlstate*nlstate);     free_matrix(doldmp,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
   free_ma3x(varhe,1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int)fage);     free_matrix(dnewmp,nlstate+1,nlstate+ndeath,1,npar);
 }     free_matrix(varppt,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
      /* if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
      fclose(ficresprobmorprev);
      fflush(ficgp);
      fflush(fichtm); 
    }  /* end varevsij */
   
 /************ Variance ******************/  /************ Variance of prevlim ******************/
 void varevsij(char optionfilefiname[], double ***vareij, double **matcov, double x[], double delti[], int nlstate, int stepm, double bage, double fage, double **oldm, double **savm, double **prlim, double ftolpl, int ij, int estepm, int cptcov, int cptcod, int popbased, int mobilav, char strstart[])   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 health expectancies */    /* 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 **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double **savm,double ftolpl);*/
   /* double **newm;*/  
   double **dnewm,**doldm;    double **dnewmpar,**doldm;
   double **dnewmp,**doldmp;    int i, j, nhstepm, hstepm;
   int i, j, nhstepm, hstepm, h, nstepm ;  
   int k, cptcode;  
   double *xp;    double *xp;
   double **gp, **gm;  /* for var eij */    double *gp, *gm;
   double ***gradg, ***trgradg; /*for var eij */    double **gradg, **trgradg;
   double **gradgp, **trgradgp; /* for var p point j */    double **mgm, **mgp;
   double *gpp, *gmp; /* for var p point j */    double age,agelim;
   double **varppt; /* for var p point j nlstate to nlstate+ndeath */  
   double ***p3mat;  
   double age,agelim, hf;  
   double ***mobaverage;  
   int theta;    int theta;
   char digit[4];    
   char digitp[25];    pstamp(ficresvpl);
     fprintf(ficresvpl,"# Standard deviation of period (forward stable) prevalences \n");
   char fileresprobmorprev[FILENAMELENGTH];    fprintf(ficresvpl,"# Age ");
     if(nresult >=1)
   if(popbased==1){      fprintf(ficresvpl," Result# ");
     if(mobilav!=0)  
       strcpy(digitp,"-populbased-mobilav-");  
     else strcpy(digitp,"-populbased-nomobil-");  
   }  
   else   
     strcpy(digitp,"-stablbased-");  
   
   if (mobilav!=0) {  
     mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);  
     if (movingaverage(probs, bage, fage, mobaverage,mobilav)!=0){  
       fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);  
       printf(" Error in movingaverage mobilav=%d\n",mobilav);  
     }  
   }  
   
   strcpy(fileresprobmorprev,"prmorprev");   
   sprintf(digit,"%-d",ij);  
   /*printf("DIGIT=%s, ij=%d ijr=%-d|\n",digit, ij,ij);*/  
   strcat(fileresprobmorprev,digit); /* Tvar to be done */  
   strcat(fileresprobmorprev,digitp); /* Popbased or not, mobilav or not */  
   strcat(fileresprobmorprev,fileres);  
   if((ficresprobmorprev=fopen(fileresprobmorprev,"w"))==NULL) {  
     printf("Problem with resultfile: %s\n", fileresprobmorprev);  
     fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobmorprev);  
   }  
   printf("Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);  
    
   fprintf(ficlog,"Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);  
   pstamp(ficresprobmorprev);  
   fprintf(ficresprobmorprev,"# probabilities of dying before estepm=%d months for people of exact age and weighted probabilities w1*p1j+w2*p2j+... stand dev in()\n",estepm);  
   fprintf(ficresprobmorprev,"# Age cov=%-d",ij);  
   for(j=nlstate+1; j<=(nlstate+ndeath);j++){  
     fprintf(ficresprobmorprev," p.%-d SE",j);  
     for(i=1; i<=nlstate;i++)  
       fprintf(ficresprobmorprev," w%1d p%-d%-d",i,i,j);  
   }    
   fprintf(ficresprobmorprev,"\n");  
   fprintf(ficgp,"\n# Routine varevsij");  
   /* fprintf(fichtm, "#Local time at start: %s", strstart);*/  
   fprintf(fichtm,"\n<li><h4> Computing probabilities of dying over estepm months as a weighted average (i.e global mortality independent of initial healh state)</h4></li>\n");  
   fprintf(fichtm,"\n<br>%s  <br>\n",digitp);  
 /*   } */  
   varppt = matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);  
   pstamp(ficresvij);  
   fprintf(ficresvij,"# Variance and covariance of health expectancies e.j \n#  (weighted average of eij where weights are ");  
   if(popbased==1)  
     fprintf(ficresvij,"the age specific prevalence observed (cross-sectionally) in the population i.e cross-sectionally\n in each health state (popbased=1) (mobilav=%d\n",mobilav);  
   else  
     fprintf(ficresvij,"the age specific period (stable) prevalences in each health state \n");  
   fprintf(ficresvij,"# Age");  
   for(i=1; i<=nlstate;i++)    for(i=1; i<=nlstate;i++)
     for(j=1; j<=nlstate;j++)        fprintf(ficresvpl," %1d-%1d",i,i);
       fprintf(ficresvij," Cov(e.%1d, e.%1d)",i,j);    fprintf(ficresvpl,"\n");
   fprintf(ficresvij,"\n");  
   
   xp=vector(1,npar);    xp=vector(1,npar);
   dnewm=matrix(1,nlstate,1,npar);    dnewmpar=matrix(1,nlstate,1,npar);
   doldm=matrix(1,nlstate,1,nlstate);    doldm=matrix(1,nlstate,1,nlstate);
   dnewmp= matrix(nlstate+1,nlstate+ndeath,1,npar);  
   doldmp= matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);  
   
   gradgp=matrix(1,npar,nlstate+1,nlstate+ndeath);  
   gpp=vector(nlstate+1,nlstate+ndeath);  
   gmp=vector(nlstate+1,nlstate+ndeath);  
   trgradgp =matrix(nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/  
       
   if(estepm < stepm){    hstepm=1*YEARM; /* Every year of age */
     printf ("Problem %d lower than %d\n",estepm, stepm);    hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */ 
   }  
   else  hstepm=estepm;     
   /* For example we decided to compute the life expectancy with the smallest unit */  
   /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm.   
      nhstepm is the number of hstepm from age to agelim   
      nstepm is the number of stepm from age to agelin.   
      Look at function hpijx to understand why (it is linked to memory size questions) */  
   /* We decided (b) to get a life expectancy respecting the most precise curvature of the  
      survival function given by stepm (the optimization length). Unfortunately it  
      means that if the survival funtion is printed every two years of age and if  
      you sum them up and add 1 year (area under the trapezoids) you won't get the same   
      results. So we changed our mind and took the option of the best precision.  
   */  
   hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */   
   agelim = AGESUP;    agelim = AGESUP;
   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */    for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
     nstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */       nhstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
     nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */      if (stepm >= YEARM) hstepm=1;
     p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);      nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
     gradg=ma3x(0,nhstepm,1,npar,1,nlstate);      gradg=matrix(1,npar,1,nlstate);
     gp=matrix(0,nhstepm,1,nlstate);      mgp=matrix(1,npar,1,nlstate);
     gm=matrix(0,nhstepm,1,nlstate);      mgm=matrix(1,npar,1,nlstate);
       gp=vector(1,nlstate);
       gm=vector(1,nlstate);
   
     for(theta=1; theta <=npar; theta++){      for(theta=1; theta <=npar; theta++){
       for(i=1; i<=npar; i++){ /* Computes gradient x + delta*/        for(i=1; i<=npar; i++){ /* Computes gradient */
         xp[i] = x[i] + (i==theta ?delti[theta]:0);          xp[i] = x[i] + (i==theta ?delti[theta]:0);
       }        }
       hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);          /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ) */
       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);        /*        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij,nres); */
         /* else */
       if (popbased==1) {        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij,nres);
         if(mobilav ==0){        for(i=1;i<=nlstate;i++){
           for(i=1; i<=nlstate;i++)          gp[i] = prlim[i][i];
             prlim[i][i]=probs[(int)age][i][ij];          mgp[theta][i] = prlim[i][i];
         }else{ /* mobilav */   
           for(i=1; i<=nlstate;i++)  
             prlim[i][i]=mobaverage[(int)age][i][ij];  
         }  
       }  
     
       for(j=1; j<= nlstate; j++){  
         for(h=0; h<=nhstepm; h++){  
           for(i=1, gp[h][j]=0.;i<=nlstate;i++)  
             gp[h][j] += prlim[i][i]*p3mat[i][j][h];  
         }  
       }        }
       /* This for computing probability of death (h=1 means        for(i=1; i<=npar; i++) /* Computes gradient */
          computed over hstepm matrices product = hstepm*stepm months)   
          as a weighted average of prlim.  
       */  
       for(j=nlstate+1;j<=nlstate+ndeath;j++){  
         for(i=1,gpp[j]=0.; i<= nlstate; i++)  
           gpp[j] += prlim[i][i]*p3mat[i][j][1];  
       }      
       /* end probability of death */  
   
       for(i=1; i<=npar; i++) /* Computes gradient x - delta */  
         xp[i] = x[i] - (i==theta ?delti[theta]:0);          xp[i] = x[i] - (i==theta ?delti[theta]:0);
       hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);          /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ) */
       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);        /*        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij,nres); */
          /* else */
       if (popbased==1) {        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij,nres);
         if(mobilav ==0){        for(i=1;i<=nlstate;i++){
           for(i=1; i<=nlstate;i++)          gm[i] = prlim[i][i];
             prlim[i][i]=probs[(int)age][i][ij];          mgm[theta][i] = prlim[i][i];
         }else{ /* mobilav */   
           for(i=1; i<=nlstate;i++)  
             prlim[i][i]=mobaverage[(int)age][i][ij];  
         }  
       }  
   
       for(j=1; j<= nlstate; j++){  /* Sum of wi * eij = e.j */  
         for(h=0; h<=nhstepm; h++){  
           for(i=1, gm[h][j]=0.;i<=nlstate;i++)  
             gm[h][j] += prlim[i][i]*p3mat[i][j][h];  
         }  
       }  
       /* This for computing probability of death (h=1 means  
          computed over hstepm matrices product = hstepm*stepm months)   
          as a weighted average of prlim.  
       */  
       for(j=nlstate+1;j<=nlstate+ndeath;j++){  
         for(i=1,gmp[j]=0.; i<= nlstate; i++)  
          gmp[j] += prlim[i][i]*p3mat[i][j][1];  
       }      
       /* end probability of death */  
   
       for(j=1; j<= nlstate; j++) /* vareij */  
         for(h=0; h<=nhstepm; h++){  
           gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta];  
         }  
   
       for(j=nlstate+1; j<= nlstate+ndeath; j++){ /* var mu */  
         gradgp[theta][j]= (gpp[j]-gmp[j])/2./delti[theta];  
       }        }
         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 */      } /* End theta */
   
     trgradg =ma3x(0,nhstepm,1,nlstate,1,npar); /* veij */      trgradg =matrix(1,nlstate,1,npar);
   
     for(h=0; h<=nhstepm; h++) /* veij */  
       for(j=1; j<=nlstate;j++)  
         for(theta=1; theta <=npar; theta++)  
           trgradg[h][j][theta]=gradg[h][theta][j];  
   
     for(j=nlstate+1; j<=nlstate+ndeath;j++) /* mu */      for(j=1; j<=nlstate;j++)
       for(theta=1; theta <=npar; theta++)        for(theta=1; theta <=npar; theta++)
         trgradgp[j][theta]=gradgp[theta][j];          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 "); */
       /*   } */
       /* } */
   
     hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */  
     for(i=1;i<=nlstate;i++)      for(i=1;i<=nlstate;i++)
       for(j=1;j<=nlstate;j++)        varpl[i][(int)age] =0.;
         vareij[i][j][(int)age] =0.;      if((int)age==79 ||(int)age== 80  ||(int)age== 81){
       matprod2(dnewmpar,trgradg,1,nlstate,1,npar,1,npar,matcov);
     for(h=0;h<=nhstepm;h++){      matprod2(doldm,dnewmpar,1,nlstate,1,npar,1,nlstate,gradg);
       for(k=0;k<=nhstepm;k++){      }else{
         matprod2(dnewm,trgradg[h],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[k]);      matprod2(doldm,dnewmpar,1,nlstate,1,npar,1,nlstate,gradg);
         for(i=1;i<=nlstate;i++)  
           for(j=1;j<=nlstate;j++)  
             vareij[i][j][(int)age] += doldm[i][j]*hf*hf;  
       }  
     }  
     
     /* pptj */  
     matprod2(dnewmp,trgradgp,nlstate+1,nlstate+ndeath,1,npar,1,npar,matcov);  
     matprod2(doldmp,dnewmp,nlstate+1,nlstate+ndeath,1,npar,nlstate+1,nlstate+ndeath,gradgp);  
     for(j=nlstate+1;j<=nlstate+ndeath;j++)  
       for(i=nlstate+1;i<=nlstate+ndeath;i++)  
         varppt[j][i]=doldmp[j][i];  
     /* end ppptj */  
     /*  x centered again */  
     hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm,savm, ij);    
     prevalim(prlim,nlstate,x,age,oldm,savm,ftolpl,ij);  
    
     if (popbased==1) {  
       if(mobilav ==0){  
         for(i=1; i<=nlstate;i++)  
           prlim[i][i]=probs[(int)age][i][ij];  
       }else{ /* mobilav */   
         for(i=1; i<=nlstate;i++)  
           prlim[i][i]=mobaverage[(int)age][i][ij];  
       }  
     }      }
                    for(i=1;i<=nlstate;i++)
     /* This for computing probability of death (h=1 means        varpl[i][(int)age] = doldm[i][i]; /* Covariances are useless */
        computed over hstepm (estepm) matrices product = hstepm*stepm months)   
        as a weighted average of prlim.  
     */  
     for(j=nlstate+1;j<=nlstate+ndeath;j++){  
       for(i=1,gmp[j]=0.;i<= nlstate; i++)   
         gmp[j] += prlim[i][i]*p3mat[i][j][1];   
     }      
     /* end probability of death */  
   
     fprintf(ficresprobmorprev,"%3d %d ",(int) age, ij);  
     for(j=nlstate+1; j<=(nlstate+ndeath);j++){  
       fprintf(ficresprobmorprev," %11.3e %11.3e",gmp[j], sqrt(varppt[j][j]));  
       for(i=1; i<=nlstate;i++){  
         fprintf(ficresprobmorprev," %11.3e %11.3e ",prlim[i][i],p3mat[i][j][1]);  
       }  
     }   
     fprintf(ficresprobmorprev,"\n");  
   
     fprintf(ficresvij,"%.0f ",age );      fprintf(ficresvpl,"%.0f ",age );
     for(i=1; i<=nlstate;i++)      if(nresult >=1)
       for(j=1; j<=nlstate;j++){        fprintf(ficresvpl,"%d ",nres );
         fprintf(ficresvij," %.4f", vareij[i][j][(int)age]);      for(i=1; i<=nlstate;i++){
       }        fprintf(ficresvpl," %.5f (%.5f)",prlim[i][i],sqrt(varpl[i][(int)age]));
     fprintf(ficresvij,"\n");        /* for(j=1;j<=nlstate;j++) */
     free_matrix(gp,0,nhstepm,1,nlstate);        /*        fprintf(ficresvpl," %d %.5f ",j,prlim[j][i]); */
     free_matrix(gm,0,nhstepm,1,nlstate);      }
     free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate);      fprintf(ficresvpl,"\n");
     free_ma3x(trgradg,0,nhstepm,1,nlstate,1,npar);      free_vector(gp,1,nlstate);
     free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);      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 */    } /* End age */
   free_vector(gpp,nlstate+1,nlstate+ndeath);  
   free_vector(gmp,nlstate+1,nlstate+ndeath);  
   free_matrix(gradgp,1,npar,nlstate+1,nlstate+ndeath);  
   free_matrix(trgradgp,nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/  
   fprintf(ficgp,"\nunset parametric;unset label; set ter png small size 320, 240");  
   /* for(j=nlstate+1; j<= nlstate+ndeath; j++){ *//* Only the first actually */  
   fprintf(ficgp,"\n set log y; unset log x;set xlabel \"Age\"; set ylabel \"Force of mortality (year-1)\";");  
 /*   fprintf(ficgp,"\n plot \"%s\"  u 1:($3*%6.3f) not w l 1 ",fileresprobmorprev,YEARM/estepm); */  
 /*   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)*%6.3f) t \"95\%% interval\" w l 2 ",fileresprobmorprev,YEARM/estepm); */  
 /*   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)*%6.3f) not w l 2 ",fileresprobmorprev,YEARM/estepm); */  
   fprintf(ficgp,"\n plot \"%s\"  u 1:($3) not w l lt 1 ",subdirf(fileresprobmorprev));  
   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)) t \"95\%% interval\" w l lt 2 ",subdirf(fileresprobmorprev));  
   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)) not w l lt 2 ",subdirf(fileresprobmorprev));  
   fprintf(fichtm,"\n<br> File (multiple files are possible if covariates are present): <A href=\"%s\">%s</a>\n",subdirf(fileresprobmorprev),subdirf(fileresprobmorprev));  
   fprintf(fichtm,"\n<br> Probability is computed over estepm=%d months. <br> <img src=\"%s%s.png\"> <br>\n", estepm,subdirf3(optionfilefiname,"varmuptjgr",digitp),digit);  
   /*  fprintf(fichtm,"\n<br> Probability is computed over estepm=%d months and then divided by estepm and multiplied by %.0f in order to have the probability to die over a year <br> <img src=\"varmuptjgr%s%s.png\"> <br>\n", stepm,YEARM,digitp,digit);  
 */  
 /*   fprintf(ficgp,"\nset out \"varmuptjgr%s%s%s.png\";replot;",digitp,optionfilefiname,digit); */  
   fprintf(ficgp,"\nset out \"%s%s.png\";replot;\n",subdirf3(optionfilefiname,"varmuptjgr",digitp),digit);  
   
   free_vector(xp,1,npar);    free_vector(xp,1,npar);
   free_matrix(doldm,1,nlstate,1,nlstate);    free_matrix(doldm,1,nlstate,1,npar);
   free_matrix(dnewm,1,nlstate,1,npar);    free_matrix(dnewmpar,1,nlstate,1,nlstate);
   free_matrix(doldmp,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);  
   free_matrix(dnewmp,nlstate+1,nlstate+ndeath,1,npar);  
   free_matrix(varppt,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);  
   if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);  
   fclose(ficresprobmorprev);  
   fflush(ficgp);  
   fflush(fichtm);   
 }  /* end varevsij */  
   
 /************ Variance of prevlim ******************/  }
 void varprevlim(char fileres[], double **varpl, double **matcov, double x[], double delti[], int nlstate, int stepm, double bage, double fage, double **oldm, double **savm, double **prlim, double ftolpl, int ij, char strstart[])  
   
   /************ Variance of 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 prevalence limit */    /* 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 **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double **savm,double ftolpl);*/
   double **newm;  
   double **dnewm,**doldm;    double **dnewmpar,**doldm;
   int i, j, nhstepm, hstepm;    int i, j, nhstepm, hstepm;
   int k, cptcode;  
   double *xp;    double *xp;
   double *gp, *gm;    double *gp, *gm;
   double **gradg, **trgradg;    double **gradg, **trgradg;
     double **mgm, **mgp;
   double age,agelim;    double age,agelim;
   int theta;    int theta;
       
   pstamp(ficresvpl);    pstamp(ficresvbl);
   fprintf(ficresvpl,"# Standard deviation of period (stable) prevalences \n");    fprintf(ficresvbl,"# Standard deviation of back (stable) prevalences \n");
   fprintf(ficresvpl,"# Age");    fprintf(ficresvbl,"# Age ");
     if(nresult >=1)
       fprintf(ficresvbl," Result# ");
   for(i=1; i<=nlstate;i++)    for(i=1; i<=nlstate;i++)
       fprintf(ficresvpl," %1d-%1d",i,i);        fprintf(ficresvbl," %1d-%1d",i,i);
   fprintf(ficresvpl,"\n");    fprintf(ficresvbl,"\n");
   
   xp=vector(1,npar);    xp=vector(1,npar);
   dnewm=matrix(1,nlstate,1,npar);    dnewmpar=matrix(1,nlstate,1,npar);
   doldm=matrix(1,nlstate,1,nlstate);    doldm=matrix(1,nlstate,1,nlstate);
       
   hstepm=1*YEARM; /* Every year of age */    hstepm=1*YEARM; /* Every year of age */
   hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */     hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */ 
   agelim = AGESUP;    agelim = AGEINF;
   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */    for (age=fage; age>=bage; age --){ /* If stepm=6 months */
     nhstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */       nhstepm=(int) rint((age-agelim)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
     if (stepm >= YEARM) hstepm=1;      if (stepm >= YEARM) hstepm=1;
     nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */      nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
     gradg=matrix(1,npar,1,nlstate);      gradg=matrix(1,npar,1,nlstate);
       mgp=matrix(1,npar,1,nlstate);
       mgm=matrix(1,npar,1,nlstate);
     gp=vector(1,nlstate);      gp=vector(1,nlstate);
     gm=vector(1,nlstate);      gm=vector(1,nlstate);
   
Line 3447  void varprevlim(char fileres[], double * Line 7556  void varprevlim(char fileres[], double *
       for(i=1; i<=npar; i++){ /* Computes gradient */        for(i=1; i<=npar; i++){ /* Computes gradient */
         xp[i] = x[i] + (i==theta ?delti[theta]:0);          xp[i] = x[i] + (i==theta ?delti[theta]:0);
       }        }
       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);        if(mobilavproj > 0 )
       for(i=1;i<=nlstate;i++)          bprevalim(bprlim, mobaverage,nlstate,xp,age,ftolpl,ncvyearp,ij,nres);
         gp[i] = prlim[i][i];        else
               bprevalim(bprlim, mobaverage,nlstate,xp,age,ftolpl,ncvyearp,ij,nres);
       for(i=1; i<=npar; i++) /* Computes gradient */        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);          xp[i] = x[i] - (i==theta ?delti[theta]:0);
       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);         if(mobilavproj > 0 )
       for(i=1;i<=nlstate;i++)          bprevalim(bprlim, mobaverage,nlstate,xp,age,ftolpl,ncvyearp,ij,nres);
         gm[i] = prlim[i][i];         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++)        for(i=1;i<=nlstate;i++)
         gradg[theta][i]= (gp[i]-gm[i])/2./delti[theta];          gradg[theta][i]= (gp[i]-gm[i])/2./delti[theta];
         /* gradg[theta][2]= -gradg[theta][1]; */ /* For testing if nlstate=2 */
     } /* End theta */      } /* End theta */
   
     trgradg =matrix(1,nlstate,1,npar);      trgradg =matrix(1,nlstate,1,npar);
Line 3466  void varprevlim(char fileres[], double * Line 7584  void varprevlim(char fileres[], double *
     for(j=1; j<=nlstate;j++)      for(j=1; j<=nlstate;j++)
       for(theta=1; theta <=npar; theta++)        for(theta=1; theta <=npar; theta++)
         trgradg[j][theta]=gradg[theta][j];          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++)      for(i=1;i<=nlstate;i++)
       varpl[i][(int)age] =0.;        varbpl[i][(int)age] =0.;
     matprod2(dnewm,trgradg,1,nlstate,1,npar,1,npar,matcov);      if((int)age==79 ||(int)age== 80  ||(int)age== 81){
     matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg);      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++)      for(i=1;i<=nlstate;i++)
       varpl[i][(int)age] = doldm[i][i]; /* Covariances are useless */        varbpl[i][(int)age] = doldm[i][i]; /* Covariances are useless */
   
     fprintf(ficresvpl,"%.0f ",age );      fprintf(ficresvbl,"%.0f ",age );
       if(nresult >=1)
         fprintf(ficresvbl,"%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]));        fprintf(ficresvbl," %.5f (%.5f)",bprlim[i][i],sqrt(varbpl[i][(int)age]));
     fprintf(ficresvpl,"\n");      fprintf(ficresvbl,"\n");
     free_vector(gp,1,nlstate);      free_vector(gp,1,nlstate);
     free_vector(gm,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(gradg,1,npar,1,nlstate);
     free_matrix(trgradg,1,nlstate,1,npar);      free_matrix(trgradg,1,nlstate,1,npar);
   } /* End age */    } /* End age */
   
   free_vector(xp,1,npar);    free_vector(xp,1,npar);
   free_matrix(doldm,1,nlstate,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 one-step probabilities  ******************/  /************ Variance of one-step probabilities  ******************/
 void varprob(char optionfilefiname[], double **matcov, double x[], double delti[], int nlstate, double bage, double fage, int ij, int *Tvar, int **nbcode, int *ncodemax, char strstart[])  void varprob(char optionfilefiname[], double **matcov, double x[], double delti[], int nlstate, double bage, double fage, int ij, int *Tvar, int **nbcode, int *ncodemax, char strstart[])
 {   {
   int i, j=0,  i1, k1, l1, t, tj;     int i, j=0,  k1, l1, tj;
   int k2, l2, j1,  z1;     int k2, l2, j1,  z1;
   int k=0,l, cptcode;     int k=0, l;
   int first=1, first1, first2;     int first=1, first1, first2;
   double cv12, mu1, mu2, lc1, lc2, v12, v21, v11, v22,v1,v2, c12, tnalp;     int nres=0; /* New */
   double **dnewm,**doldm;     double cv12, mu1, mu2, lc1, lc2, v12, v21, v11, v22,v1,v2, c12, tnalp;
   double *xp;     double **dnewm,**doldm;
   double *gp, *gm;     double *xp;
   double **gradg, **trgradg;     double *gp, *gm;
   double **mu;     double **gradg, **trgradg;
   double age,agelim, cov[NCOVMAX+1];     double **mu;
   double std=2.0; /* Number of standard deviation wide of confidence ellipsoids */     double age, cov[NCOVMAX+1];
   int theta;     double std=2.0; /* Number of standard deviation wide of confidence ellipsoids */
   char fileresprob[FILENAMELENGTH];     int theta;
   char fileresprobcov[FILENAMELENGTH];     char fileresprob[FILENAMELENGTH];
   char fileresprobcor[FILENAMELENGTH];     char fileresprobcov[FILENAMELENGTH];
   double ***varpij;     char fileresprobcor[FILENAMELENGTH];
      double ***varpij;
   strcpy(fileresprob,"prob");   
   strcat(fileresprob,fileres);     strcpy(fileresprob,"PROB_"); 
   if((ficresprob=fopen(fileresprob,"w"))==NULL) {     strcat(fileresprob,fileresu);
     printf("Problem with resultfile: %s\n", fileresprob);     if((ficresprob=fopen(fileresprob,"w"))==NULL) {
     fprintf(ficlog,"Problem with resultfile: %s\n", fileresprob);       printf("Problem with resultfile: %s\n", fileresprob);
   }       fprintf(ficlog,"Problem with resultfile: %s\n", fileresprob);
   strcpy(fileresprobcov,"probcov");      }
   strcat(fileresprobcov,fileres);     strcpy(fileresprobcov,"PROBCOV_"); 
   if((ficresprobcov=fopen(fileresprobcov,"w"))==NULL) {     strcat(fileresprobcov,fileresu);
     printf("Problem with resultfile: %s\n", fileresprobcov);     if((ficresprobcov=fopen(fileresprobcov,"w"))==NULL) {
     fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcov);       printf("Problem with resultfile: %s\n", fileresprobcov);
   }       fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcov);
   strcpy(fileresprobcor,"probcor");      }
   strcat(fileresprobcor,fileres);     strcpy(fileresprobcor,"PROBCOR_"); 
   if((ficresprobcor=fopen(fileresprobcor,"w"))==NULL) {     strcat(fileresprobcor,fileresu);
     printf("Problem with resultfile: %s\n", fileresprobcor);     if((ficresprobcor=fopen(fileresprobcor,"w"))==NULL) {
     fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcor);       printf("Problem with resultfile: %s\n", fileresprobcor);
   }       fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcor);
   printf("Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);     }
   fprintf(ficlog,"Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);     printf("Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);
   printf("Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);     fprintf(ficlog,"Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);
   fprintf(ficlog,"Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);     printf("Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);
   printf("and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);     fprintf(ficlog,"Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);
   fprintf(ficlog,"and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);     printf("and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);
   pstamp(ficresprob);     fprintf(ficlog,"and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);
   fprintf(ficresprob,"#One-step probabilities and stand. devi in ()\n");     pstamp(ficresprob);
   fprintf(ficresprob,"# Age");     fprintf(ficresprob,"#One-step probabilities and stand. devi in ()\n");
   pstamp(ficresprobcov);     fprintf(ficresprob,"# Age");
   fprintf(ficresprobcov,"#One-step probabilities and covariance matrix\n");     pstamp(ficresprobcov);
   fprintf(ficresprobcov,"# Age");     fprintf(ficresprobcov,"#One-step probabilities and covariance matrix\n");
   pstamp(ficresprobcor);     fprintf(ficresprobcov,"# Age");
   fprintf(ficresprobcor,"#One-step probabilities and correlation matrix\n");     pstamp(ficresprobcor);
   fprintf(ficresprobcor,"# Age");     fprintf(ficresprobcor,"#One-step probabilities and correlation matrix\n");
      fprintf(ficresprobcor,"# Age");
   
   for(i=1; i<=nlstate;i++)  
     for(j=1; j<=(nlstate+ndeath);j++){     for(i=1; i<=nlstate;i++)
       fprintf(ficresprob," p%1d-%1d (SE)",i,j);       for(j=1; j<=(nlstate+ndeath);j++){
       fprintf(ficresprobcov," p%1d-%1d ",i,j);         fprintf(ficresprob," p%1d-%1d (SE)",i,j);
       fprintf(ficresprobcor," p%1d-%1d ",i,j);         fprintf(ficresprobcov," p%1d-%1d ",i,j);
     }           fprintf(ficresprobcor," p%1d-%1d ",i,j);
  /* fprintf(ficresprob,"\n");       }  
   fprintf(ficresprobcov,"\n");     /* fprintf(ficresprob,"\n");
   fprintf(ficresprobcor,"\n");        fprintf(ficresprobcov,"\n");
  */        fprintf(ficresprobcor,"\n");
   xp=vector(1,npar);     */
   dnewm=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);     xp=vector(1,npar);
   doldm=matrix(1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath));     dnewm=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);
   mu=matrix(1,(nlstate)*(nlstate+ndeath), (int) bage, (int)fage);     doldm=matrix(1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath));
   varpij=ma3x(1,nlstate*(nlstate+ndeath),1,nlstate*(nlstate+ndeath),(int) bage, (int) fage);     mu=matrix(1,(nlstate)*(nlstate+ndeath), (int) bage, (int)fage);
   first=1;     varpij=ma3x(1,nlstate*(nlstate+ndeath),1,nlstate*(nlstate+ndeath),(int) bage, (int) fage);
   fprintf(ficgp,"\n# Routine varprob");     first=1;
   fprintf(fichtm,"\n<li><h4> Computing and drawing one step probabilities with their confidence intervals</h4></li>\n");     fprintf(ficgp,"\n# Routine varprob");
   fprintf(fichtm,"\n");     fprintf(fichtm,"\n<li><h4> Computing and drawing one step probabilities with their confidence intervals</h4></li>\n");
      fprintf(fichtm,"\n");
   fprintf(fichtm,"\n<li><h4> <a href=\"%s\">Matrix of variance-covariance of pairs of step probabilities (drawings)</a></h4></li>\n",optionfilehtmcov);  
   fprintf(fichtmcov,"\n<h4>Matrix of variance-covariance of pairs of step probabilities</h4>\n\     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);
   file %s<br>\n",optionfilehtmcov);     fprintf(fichtmcov,"Current page is file <a href=\"%s\">%s</a><br>\n\n<h4>Matrix of variance-covariance of pairs of step probabilities</h4>\n",optionfilehtmcov, optionfilehtmcov);
   fprintf(fichtmcov,"\nEllipsoids of confidence centered on point (p<inf>ij</inf>, p<inf>kl</inf>) are estimated\     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.\  and drawn. It helps understanding how is the covariance between two incidences.\
  They are expressed in year<sup>-1</sup> in order to be less dependent of stepm.<br>\n");   They are expressed in year<sup>-1</sup> in order to be less dependent of stepm.<br>\n");
   fprintf(fichtmcov,"\n<br> Contour plot corresponding to x'cov<sup>-1</sup>x = 4 (where x is the column vector (pij,pkl)) are drawn. \     fprintf(fichtmcov,"\n<br> Contour plot corresponding to x'cov<sup>-1</sup>x = 4 (where x is the column vector (pij,pkl)) are drawn. \
 It can be understood this way: if pij and pkl where uncorrelated the (2x2) matrix of covariance \  It can be understood this way: if pij and pkl where uncorrelated the (2x2) matrix of covariance \
 would have been (1/(var pij), 0 , 0, 1/(var pkl)), and the confidence interval would be 2 \  would have been (1/(var pij), 0 , 0, 1/(var pkl)), and the confidence interval would be 2 \
 standard deviations wide on each axis. <br>\  standard deviations wide on each axis. <br>\
Line 3580  standard deviations wide on each axis. < Line 7725  standard deviations wide on each axis. <
  and made the appropriate rotation to look at the uncorrelated principal directions.<br>\   and made the appropriate rotation to look at the uncorrelated principal directions.<br>\
 To be simple, these graphs help to understand the significativity of each parameter in relation to a second other one.<br> \n");  To be simple, these graphs help to understand the significativity of each parameter in relation to a second other one.<br> \n");
   
   cov[1]=1;     cov[1]=1;
   /* tj=cptcoveff; */     /* tj=cptcoveff; */
   tj = (int) pow(2,cptcoveff);     tj = (int) pow(2,cptcoveff);
   if (cptcovn<1) {tj=1;ncodemax[1]=1;}     if (cptcovn<1) {tj=1;ncodemax[1]=1;}
   j1=0;     j1=0;
   for(j1=1; j1<=tj;j1++){  
     /*for(i1=1; i1<=ncodemax[t];i1++){ */     for(nres=1;nres <=nresult; nres++){ /* For each resultline */
     /*j1++;*/     for(j1=1; j1<=tj;j1++){ /* For any combination of dummy covariates, fixed and varying */
       if  (cptcovn>0) {       /* 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); */
         fprintf(ficresprob, "\n#********** Variable ");        if(tj != 1 && TKresult[nres]!= j1)
         for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprob, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);         continue;
         fprintf(ficresprob, "**********\n#\n");  
         fprintf(ficresprobcov, "\n#********** Variable ");      /* for(j1=1; j1<=tj;j1++){  /\* For each valid combination of covariates or only once*\/ */
         for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcov, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);       /* for(nres=1;nres <=1; nres++){ /\* For each resultline *\/ */
         fprintf(ficresprobcov, "**********\n#\n");       /* /\* for(nres=1;nres <=nresult; nres++){ /\\* For each resultline *\\/ *\/ */
                if  (cptcovn>0) {
         fprintf(ficgp, "\n#********** Variable ");          fprintf(ficresprob, "\n#********** Variable ");
         for (z1=1; z1<=cptcoveff; z1++) fprintf(ficgp, " V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);         fprintf(ficresprobcov, "\n#********** Variable "); 
         fprintf(ficgp, "**********\n#\n");         fprintf(ficgp, "\n#********** Variable ");
                  fprintf(fichtmcov, "\n<hr  size=\"2\" color=\"#EC5E5E\">********** Variable "); 
                  fprintf(ficresprobcor, "\n#********** Variable ");    
         fprintf(fichtmcov, "\n<hr  size=\"2\" color=\"#EC5E5E\">********** Variable ");   
         for (z1=1; z1<=cptcoveff; z1++) fprintf(fichtm, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);         /* Including quantitative variables of the resultline to be done */
         fprintf(fichtmcov, "**********\n<hr size=\"2\" color=\"#EC5E5E\">");         for (z1=1; z1<=cptcovs; z1++){ /* Loop on each variable of this resultline  */
                    /* printf("Varprob modelresult[%d][%d]=%d model=1+age+%s \n",nres, z1, modelresult[nres][z1], model); */
         fprintf(ficresprobcor, "\n#********** Variable ");               fprintf(ficlog,"Varprob modelresult[%d][%d]=%d model=1+age+%s \n",nres, z1, modelresult[nres][z1], model);
         for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcor, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);           /* fprintf(ficlog,"Varprob modelresult[%d][%d]=%d model=1+age+%s resultline[%d]=%s \n",nres, z1, modelresult[nres][z1], model, nres, resultline[nres]); */
         fprintf(ficresprobcor, "**********\n#");               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  */
       gradg=matrix(1,npar,1,(nlstate)*(nlstate+ndeath));               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  */
       trgradg=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);               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  */
       gp=vector(1,(nlstate)*(nlstate+ndeath));               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  */
       gm=vector(1,(nlstate)*(nlstate+ndeath));               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  */
       for (age=bage; age<=fage; age ++){                fprintf(ficresprob,"fixed ");
         cov[2]=age;               fprintf(ficresprobcov,"fixed ");
         for (k=1; k<=cptcovn;k++) {               fprintf(ficgp,"fixed ");
           cov[2+k]=nbcode[Tvar[k]][codtab[j1][Tvar[k]]];/* j1 1 2 3 4               fprintf(fichtmcov,"fixed ");
                                                          * 1  1 1 1 1               fprintf(ficresprobcor,"fixed ");
                                                          * 2  2 1 1 1             }else{
                                                          * 3  1 2 1 1               fprintf(ficresprob,"varyi ");
                                                          */               fprintf(ficresprobcov,"varyi ");
           /* nbcode[1][1]=0 nbcode[1][2]=1;*/               fprintf(ficgp,"varyi ");
         }               fprintf(fichtmcov,"varyi ");
         for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2];               fprintf(ficresprobcor,"varyi ");
         for (k=1; k<=cptcovprod;k++)             }
           cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]]*nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]];           }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]);
         for(theta=1; theta <=npar; theta++){             if(Fixed[modelresult[nres][z1]]==0){ /* Fixed */
           for(i=1; i<=npar; i++)               fprintf(ficresprob,"fixed ");
             xp[i] = x[i] + (i==theta ?delti[theta]:(double)0);               fprintf(ficresprobcov,"fixed ");
                          fprintf(ficgp,"fixed ");
           pmij(pmmij,cov,ncovmodel,xp,nlstate);               fprintf(fichtmcov,"fixed ");
                          fprintf(ficresprobcor,"fixed ");
           k=0;             }else{
           for(i=1; i<= (nlstate); i++){               fprintf(ficresprob,"varyi ");
             for(j=1; j<=(nlstate+ndeath);j++){               fprintf(ficresprobcov,"varyi ");
               k=k+1;               fprintf(ficgp,"varyi ");
               gp[k]=pmmij[i][j];               fprintf(fichtmcov,"varyi ");
             }               fprintf(ficresprobcor,"varyi ");
           }             }
                      }else{
           for(i=1; i<=npar; i++)             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 */
             xp[i] = x[i] - (i==theta ?delti[theta]:(double)0);             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);
           pmij(pmmij,cov,ncovmodel,xp,nlstate);           }
           k=0;         } /* End loop on variable of this resultline */
           for(i=1; i<=(nlstate); i++){         /* for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprob, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,TnsdVar[Tvaraff[z1]])]); */
             for(j=1; j<=(nlstate+ndeath);j++){         fprintf(ficresprob, "**********\n#\n");
               k=k+1;         fprintf(ficresprobcov, "**********\n#\n");
               gm[k]=pmmij[i][j];         fprintf(ficgp, "**********\n#\n");
             }         fprintf(fichtmcov, "**********\n<hr size=\"2\" color=\"#EC5E5E\">");
           }         fprintf(ficresprobcor, "**********\n#");    
               if(invalidvarcomb[j1]){
           for(i=1; i<= (nlstate)*(nlstate+ndeath); i++)            fprintf(ficgp,"\n#Combination (%d) ignored because no cases \n",j1); 
             gradg[theta][i]=(gp[i]-gm[i])/(double)2./delti[theta];             fprintf(fichtmcov,"\n<h3>Combination (%d) ignored because no cases </h3>\n",j1); 
         }           continue;
          }
         for(j=1; j<=(nlstate)*(nlstate+ndeath);j++)       }
           for(theta=1; theta <=npar; theta++)       gradg=matrix(1,npar,1,(nlstate)*(nlstate+ndeath));
             trgradg[j][theta]=gradg[theta][j];       trgradg=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);
                gp=vector(1,(nlstate)*(nlstate+ndeath));
         matprod2(dnewm,trgradg,1,(nlstate)*(nlstate+ndeath),1,npar,1,npar,matcov);        gm=vector(1,(nlstate)*(nlstate+ndeath));
         matprod2(doldm,dnewm,1,(nlstate)*(nlstate+ndeath),1,npar,1,(nlstate)*(nlstate+ndeath),gradg);       for (age=bage; age<=fage; age ++){ /* Fo each age we feed the model equation with covariates, using precov as in hpxij() ? */
          cov[2]=age;
         pmij(pmmij,cov,ncovmodel,x,nlstate);         if(nagesqr==1)
                    cov[3]= age*age;
         k=0;         /* New code end of combination but for each resultline */
         for(i=1; i<=(nlstate); i++){         for(k1=1;k1<=cptcovt;k1++){ /* loop on model equation (including products) */ 
           for(j=1; j<=(nlstate+ndeath);j++){           if(Typevar[k1]==1 || Typevar[k1] ==3){ /* A product with age */
             k=k+1;             cov[2+nagesqr+k1]=precov[nres][k1]*cov[2];
             mu[k][(int) age]=pmmij[i][j];           }else{
           }             cov[2+nagesqr+k1]=precov[nres][k1];
         }           }
         for(i=1;i<=(nlstate)*(nlstate+ndeath);i++)         }/* End of loop on model equation */
           for(j=1;j<=(nlstate)*(nlstate+ndeath);j++)  /* Old code */
             varpij[i][j][(int)age] = doldm[i][j];         /* /\* for (k=1; k<=cptcovn;k++) { *\/ */
          /* /\*    cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(j1,k)]; *\/ */
         /*printf("\n%d ",(int)age);         /* for (k=1; k<=nsd;k++) { /\* For single dummy covariates only *\/ */
           for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){         /*        /\* Here comes the value of the covariate 'j1' after renumbering k with single dummy covariates *\/ */
           printf("%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));         /*        cov[2+nagesqr+TvarsDind[k]]=nbcode[TvarsD[k]][codtabm(j1,TnsdVar[TvarsD[k]])]; */
           fprintf(ficlog,"%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));         /*        /\*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 */
         fprintf(ficresprob,"\n%d ",(int)age);         /*                                                                   * 3  1 2 1 1 */
         fprintf(ficresprobcov,"\n%d ",(int)age);         /*                                                                   *\/ */
         fprintf(ficresprobcor,"\n%d ",(int)age);         /*        /\* nbcode[1][1]=0 nbcode[1][2]=1;*\/ */
          /* } */
         for (i=1; i<=(nlstate)*(nlstate+ndeath);i++)         /* /\* V2+V1+V4+V3*age Tvar[4]=3 ; V1+V2*age Tvar[2]=2; V1+V1*age Tvar[2]=1, Tage[1]=2 *\/ */
           fprintf(ficresprob,"%11.3e (%11.3e) ",mu[i][(int) age],sqrt(varpij[i][i][(int)age]));         /* /\* ) p nbcode[Tvar[Tage[k]]][(1 & (ij-1) >> (k-1))+1] *\/ */
         for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){         /* /\*for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; *\/ */
           fprintf(ficresprobcov,"%11.3e ",mu[i][(int) age]);         /* for (k=1; k<=cptcovage;k++){  /\* For product with age *\/ */
           fprintf(ficresprobcor,"%11.3e ",mu[i][(int) 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]; */
         i=0;         /*          /\* cov[++k1]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2]; *\/ */
         for (k=1; k<=(nlstate);k++){         /*        } else if(Dummy[Tage[k]]==3){ /\* quantitative with age *\/ */
           for (l=1; l<=(nlstate+ndeath);l++){          /*          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]); */
             i++;         /*          /\* cov[2+nagesqr+Tage[k]]=meanq[k]/idq[k]*cov[2];/\\* Using the mean of quantitative variable Tvar[Tage[k]] /\\* Tqresult[nres][k]; *\\/ *\/ */
             fprintf(ficresprobcov,"\n%d %d-%d",(int)age,k,l);         /*          /\* exit(1); *\/ */
             fprintf(ficresprobcor,"\n%d %d-%d",(int)age,k,l);         /*          /\* cov[++k1]=Tqresult[nres][k];  *\/ */
             for (j=1; j<=i;j++){         /*        } */
               /* printf(" k=%d l=%d i=%d j=%d\n",k,l,i,j);fflush(stdout); */         /*        /\* cov[2+Tage[k]+nagesqr]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2]; *\/ */
               fprintf(ficresprobcov," %11.3e",varpij[i][j][(int)age]);         /* } */
               fprintf(ficresprobcor," %11.3e",varpij[i][j][(int) age]/sqrt(varpij[i][i][(int) age])/sqrt(varpij[j][j][(int)age]));         /* for (k=1; k<=cptcovprod;k++){/\* For product without age *\/ */
             }         /*        if(Dummy[Tvard[k][1]]==0){ */
           }         /*          if(Dummy[Tvard[k][2]]==0){ */
         }/* end of loop for state */         /*            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]])]; */
       } /* end of loop for age */         /*            /\* cov[++k1]=nbcode[Tvard[k][1]][codtabm(ij,k)] * nbcode[Tvard[k][2]][codtabm(ij,k)]; *\/ */
       free_vector(gp,1,(nlstate+ndeath)*(nlstate+ndeath));         /*          }else{ /\* Should we use the mean of the quantitative variables? *\/ */
       free_vector(gm,1,(nlstate+ndeath)*(nlstate+ndeath));         /*            cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(j1,TnsdVar[Tvard[k][1]])] * Tqresult[nres][resultmodel[nres][k]]; */
       free_matrix(trgradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);         /*            /\* cov[++k1]=nbcode[Tvard[k][1]][codtabm(ij,k)] * Tqresult[nres][k]; *\/ */
       free_matrix(gradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);         /*          } */
                /*        }else{ */
       /* Confidence intervalle of pij  */         /*          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]]]; */
         fprintf(ficgp,"\nunset parametric;unset label");         /*            /\* cov[++k1]=nbcode[Tvard[k][2]][codtabm(ij,k)] * Tqinvresult[nres][Tvard[k][1]]; *\/ */
         fprintf(ficgp,"\nset log y;unset log x; set xlabel \"Age\";set ylabel \"probability (year-1)\"");         /*          }else{ */
         fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65");         /*            cov[2+nagesqr+Tprod[k]]=Tqinvresult[nres][TnsdVar[Tvard[k][1]]]*  Tqinvresult[nres][TnsdVar[Tvard[k][2]]]; */
         fprintf(fichtm,"\n<br>Probability with  confidence intervals expressed in year<sup>-1</sup> :<a href=\"pijgr%s.png\">pijgr%s.png</A>, ",optionfilefiname,optionfilefiname);         /*            /\* cov[++k1]=Tqinvresult[nres][Tvard[k][1]]*  Tqinvresult[nres][Tvard[k][2]]; *\/ */
         fprintf(fichtm,"\n<br><img src=\"pijgr%s.png\"> ",optionfilefiname);         /*          } */
         fprintf(ficgp,"\nset out \"pijgr%s.png\"",optionfilefiname);         /*        } */
         fprintf(ficgp,"\nplot \"%s\" every :::%d::%d u 1:2 \"\%%lf",k1,k2,xfilevarprob);         /*        /\* 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*/                     
       /* Drawing ellipsoids of confidence of two variables p(k1-l1,k2-l2)*/         for(theta=1; theta <=npar; theta++){
       first1=1;first2=2;           for(i=1; i<=npar; i++)
       for (k2=1; k2<=(nlstate);k2++){             xp[i] = x[i] + (i==theta ?delti[theta]:(double)0);
         for (l2=1; l2<=(nlstate+ndeath);l2++){                                   
           if(l2==k2) continue;           pmij(pmmij,cov,ncovmodel,xp,nlstate);
           j=(k2-1)*(nlstate+ndeath)+l2;                                  
           for (k1=1; k1<=(nlstate);k1++){           k=0;
             for (l1=1; l1<=(nlstate+ndeath);l1++){            for(i=1; i<= (nlstate); i++){
               if(l1==k1) continue;             for(j=1; j<=(nlstate+ndeath);j++){
               i=(k1-1)*(nlstate+ndeath)+l1;               k=k+1;
               if(i<=j) continue;               gp[k]=pmmij[i][j];
               for (age=bage; age<=fage; age ++){              }
                 if ((int)age %5==0){           }
                   v1=varpij[i][i][(int)age]/stepm*YEARM/stepm*YEARM;                                  
                   v2=varpij[j][j][(int)age]/stepm*YEARM/stepm*YEARM;           for(i=1; i<=npar; i++)
                   cv12=varpij[i][j][(int)age]/stepm*YEARM/stepm*YEARM;             xp[i] = x[i] - (i==theta ?delti[theta]:(double)0);
                   mu1=mu[i][(int) age]/stepm*YEARM ;                                  
                   mu2=mu[j][(int) age]/stepm*YEARM;           pmij(pmmij,cov,ncovmodel,xp,nlstate);
                   c12=cv12/sqrt(v1*v2);           k=0;
                   /* Computing eigen value of matrix of covariance */           for(i=1; i<=(nlstate); i++){
                   lc1=((v1+v2)+sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;             for(j=1; j<=(nlstate+ndeath);j++){
                   lc2=((v1+v2)-sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;               k=k+1;
                   if ((lc2 <0) || (lc1 <0) ){               gm[k]=pmmij[i][j];
                     if(first2==1){             }
                       first1=0;           }
                     printf("Strange: j1=%d One eigen value of 2x2 matrix of covariance is negative, lc1=%11.3e, lc2=%11.3e, v1=%11.3e, v2=%11.3e, cv12=%11.3e.\n It means that the matrix was not well estimated (varpij), for i=%2d, j=%2d, age=%4d .\n See files %s and %s. Probably WRONG RESULTS. See log file for details...\n", j1, lc1, lc2, v1, v2, cv12, i, j, (int)age,fileresprobcov, fileresprobcor);                                  
                     }           for(i=1; i<= (nlstate)*(nlstate+ndeath); i++) 
                     fprintf(ficlog,"Strange: j1=%d One eigen value of 2x2 matrix of covariance is negative, lc1=%11.3e, lc2=%11.3e, v1=%11.3e, v2=%11.3e, cv12=%11.3e.\n It means that the matrix was not well estimated (varpij), for i=%2d, j=%2d, age=%4d .\n See files %s and %s. Probably WRONG RESULTS.\n", j1, lc1, lc2, v1, v2, cv12, i, j, (int)age,fileresprobcov, fileresprobcor);fflush(ficlog);             gradg[theta][i]=(gp[i]-gm[i])/(double)2./delti[theta];  
                     /* lc1=fabs(lc1); */ /* If we want to have them positive */         }
                     /* lc2=fabs(lc2); */  
                   }  
   
                   /* Eigen vectors */         for(j=1; j<=(nlstate)*(nlstate+ndeath);j++)
                   v11=(1./sqrt(1+(v1-lc1)*(v1-lc1)/cv12/cv12));           for(theta=1; theta <=npar; theta++)
                   /*v21=sqrt(1.-v11*v11); *//* error */             trgradg[j][theta]=gradg[theta][j];
                   v21=(lc1-v1)/cv12*v11;                          
                   v12=-v21;         matprod2(dnewm,trgradg,1,(nlstate)*(nlstate+ndeath),1,npar,1,npar,matcov); 
                   v22=v11;         matprod2(doldm,dnewm,1,(nlstate)*(nlstate+ndeath),1,npar,1,(nlstate)*(nlstate+ndeath),gradg);
                   tnalp=v21/v11;                          
                   if(first1==1){         pmij(pmmij,cov,ncovmodel,x,nlstate);
                     first1=0;                          
                     printf("%d %d%d-%d%d mu %.4e %.4e Var %.4e %.4e cor %.3f cov %.4e Eig %.3e %.3e 1stv %.3f %.3f tang %.3f\nOthers in log...\n",(int) age,k1,l1,k2,l2,mu1,mu2,v1,v2,c12,cv12,lc1,lc2,v11,v21,tnalp);         k=0;
                   }         for(i=1; i<=(nlstate); i++){
                   fprintf(ficlog,"%d %d%d-%d%d mu %.4e %.4e Var %.4e %.4e cor %.3f cov %.4e Eig %.3e %.3e 1stv %.3f %.3f tan %.3f\n",(int) age,k1,l1,k2,l2,mu1,mu2,v1,v2,c12,cv12,lc1,lc2,v11,v21,tnalp);           for(j=1; j<=(nlstate+ndeath);j++){
                   /*printf(fignu*/             k=k+1;
                   /* mu1+ v11*lc1*cost + v12*lc2*sin(t) */             mu[k][(int) age]=pmmij[i][j];
                   /* mu2+ v21*lc1*cost + v22*lc2*sin(t) */           }
                   if(first==1){         }
                     first=0;         for(i=1;i<=(nlstate)*(nlstate+ndeath);i++)
                     fprintf(ficgp,"\nset parametric;unset label");           for(j=1;j<=(nlstate)*(nlstate+ndeath);j++)
                     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);             varpij[i][j][(int)age] = doldm[i][j];
                     fprintf(ficgp,"\nset ter png small size 320, 240");                          
                     fprintf(fichtmcov,"\n<br>Ellipsoids of confidence cov(p%1d%1d,p%1d%1d) expressed in year<sup>-1</sup>\         /*printf("\n%d ",(int)age);
  :<a href=\"%s%d%1d%1d-%1d%1d.png\">\           for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){
 %s%d%1d%1d-%1d%1d.png</A>, ",k1,l1,k2,l2,\           printf("%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));
                             subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2,\           fprintf(ficlog,"%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));
                             subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2);           }*/
                     fprintf(fichtmcov,"\n<br><img src=\"%s%d%1d%1d-%1d%1d.png\"> ",subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2);                          
                     fprintf(fichtmcov,"\n<br> Correlation at age %d (%.3f),",(int) age, c12);         fprintf(ficresprob,"\n%d ",(int)age);
                     fprintf(ficgp,"\nset out \"%s%d%1d%1d-%1d%1d.png\"",subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2);         fprintf(ficresprobcov,"\n%d ",(int)age);
                     fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);         fprintf(ficresprobcor,"\n%d ",(int)age);
                     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",\         for (i=1; i<=(nlstate)*(nlstate+ndeath);i++)
                             mu1,std,v11,sqrt(lc1),v12,sqrt(lc2),\           fprintf(ficresprob,"%11.3e (%11.3e) ",mu[i][(int) age],sqrt(varpij[i][i][(int)age]));
                             mu2,std,v21,sqrt(lc1),v22,sqrt(lc2));         for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){
                   }else{           fprintf(ficresprobcov,"%11.3e ",mu[i][(int) age]);
                     first=0;           fprintf(ficresprobcor,"%11.3e ",mu[i][(int) age]);
                     fprintf(fichtmcov," %d (%.3f),",(int) age, c12);         }
                     fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);         i=0;
                     fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);         for (k=1; k<=(nlstate);k++){
                     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",\           for (l=1; l<=(nlstate+ndeath);l++){ 
                             mu1,std,v11,sqrt(lc1),v12,sqrt(lc2),\             i++;
                             mu2,std,v21,sqrt(lc1),v22,sqrt(lc2));             fprintf(ficresprobcov,"\n%d %d-%d",(int)age,k,l);
                   }/* if first */             fprintf(ficresprobcor,"\n%d %d-%d",(int)age,k,l);
                 } /* age mod 5 */             for (j=1; j<=i;j++){
               } /* end loop age */               /* printf(" k=%d l=%d i=%d j=%d\n",k,l,i,j);fflush(stdout); */
               fprintf(ficgp,"\nset out \"%s%d%1d%1d-%1d%1d.png\";replot;",subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2);               fprintf(ficresprobcov," %11.3e",varpij[i][j][(int)age]);
               first=1;               fprintf(ficresprobcor," %11.3e",varpij[i][j][(int) age]/sqrt(varpij[i][i][(int) age])/sqrt(varpij[j][j][(int)age]));
             } /*l12 */             }
           } /* k12 */           }
         } /*l1 */         }/* end of loop for state */
       }/* k1 */       } /* end of loop for age */
       /* } /* loop covariates */       free_vector(gp,1,(nlstate+ndeath)*(nlstate+ndeath));
   }       free_vector(gm,1,(nlstate+ndeath)*(nlstate+ndeath));
   free_ma3x(varpij,1,nlstate,1,nlstate+ndeath,(int) bage, (int)fage);       free_matrix(trgradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);
   free_matrix(mu,1,(nlstate+ndeath)*(nlstate+ndeath),(int) bage, (int)fage);       free_matrix(gradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);
   free_matrix(doldm,1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath));      
   free_matrix(dnewm,1,(nlstate)*(nlstate+ndeath),1,npar);       /* Confidence intervalle of pij  */
   free_vector(xp,1,npar);       /*
   fclose(ficresprob);         fprintf(ficgp,"\nunset parametric;unset label");
   fclose(ficresprobcov);         fprintf(ficgp,"\nset log y;unset log x; set xlabel \"Age\";set ylabel \"probability (year-1)\"");
   fclose(ficresprobcor);         fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65");
   fflush(ficgp);         fprintf(fichtm,"\n<br>Probability with  confidence intervals expressed in year<sup>-1</sup> :<a href=\"pijgr%s.png\">pijgr%s.png</A>, ",optionfilefiname,optionfilefiname);
   fflush(fichtmcov);         fprintf(fichtm,"\n<br><img src=\"pijgr%s.png\"> ",optionfilefiname);
 }         fprintf(ficgp,"\nset out \"pijgr%s.png\"",optionfilefiname);
          fprintf(ficgp,"\nplot \"%s\" every :::%d::%d u 1:2 \"\%%lf",k1,k2,xfilevarprob);
        */
                   
        /* Drawing ellipsoids of confidence of two variables p(k1-l1,k2-l2)*/
        first1=1;first2=2;
        for (k2=1; k2<=(nlstate);k2++){
          for (l2=1; l2<=(nlstate+ndeath);l2++){ 
            if(l2==k2) continue;
            j=(k2-1)*(nlstate+ndeath)+l2;
            for (k1=1; k1<=(nlstate);k1++){
              for (l1=1; l1<=(nlstate+ndeath);l1++){ 
                if(l1==k1) continue;
                i=(k1-1)*(nlstate+ndeath)+l1;
                if(i<=j) continue;
                for (age=bage; age<=fage; age ++){ 
                  if ((int)age %5==0){
                    v1=varpij[i][i][(int)age]/stepm*YEARM/stepm*YEARM;
                    v2=varpij[j][j][(int)age]/stepm*YEARM/stepm*YEARM;
                    cv12=varpij[i][j][(int)age]/stepm*YEARM/stepm*YEARM;
                    mu1=mu[i][(int) age]/stepm*YEARM ;
                    mu2=mu[j][(int) age]/stepm*YEARM;
                    c12=cv12/sqrt(v1*v2);
                    /* Computing eigen value of matrix of covariance */
                    lc1=((v1+v2)+sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                    lc2=((v1+v2)-sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                    if ((lc2 <0) || (lc1 <0) ){
                      if(first2==1){
                        first1=0;
                        printf("Strange: j1=%d One eigen value of 2x2 matrix of covariance is negative, lc1=%11.3e, lc2=%11.3e, v1=%11.3e, v2=%11.3e, cv12=%11.3e.\n It means that the matrix was not well estimated (varpij), for i=%2d, j=%2d, age=%4d .\n See files %s and %s. Probably WRONG RESULTS. See log file for details...\n", j1, lc1, lc2, v1, v2, cv12, i, j, (int)age,fileresprobcov, fileresprobcor);
                      }
                      fprintf(ficlog,"Strange: j1=%d One eigen value of 2x2 matrix of covariance is negative, lc1=%11.3e, lc2=%11.3e, v1=%11.3e, v2=%11.3e, cv12=%11.3e.\n It means that the matrix was not well estimated (varpij), for i=%2d, j=%2d, age=%4d .\n See files %s and %s. Probably WRONG RESULTS.\n", j1, lc1, lc2, v1, v2, cv12, i, j, (int)age,fileresprobcov, fileresprobcor);fflush(ficlog);
                      /* lc1=fabs(lc1); */ /* If we want to have them positive */
                      /* lc2=fabs(lc2); */
                    }
                                                                   
                    /* Eigen vectors */
                    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;
                    v22=v11;
                    tnalp=v21/v11;
                    if(first1==1){
                      first1=0;
                      printf("%d %d%d-%d%d mu %.4e %.4e Var %.4e %.4e cor %.3f cov %.4e Eig %.3e %.3e 1stv %.3f %.3f tang %.3f\nOthers in log...\n",(int) age,k1,l1,k2,l2,mu1,mu2,v1,v2,c12,cv12,lc1,lc2,v11,v21,tnalp);
                    }
                    fprintf(ficlog,"%d %d%d-%d%d mu %.4e %.4e Var %.4e %.4e cor %.3f cov %.4e Eig %.3e %.3e 1stv %.3f %.3f tan %.3f\n",(int) age,k1,l1,k2,l2,mu1,mu2,v1,v2,c12,cv12,lc1,lc2,v11,v21,tnalp);
                    /*printf(fignu*/
                    /* mu1+ v11*lc1*cost + v12*lc2*sin(t) */
                    /* mu2+ v21*lc1*cost + v22*lc2*sin(t) */
                    if(first==1){
                      first=0;
                      fprintf(ficgp,"\n# Ellipsoids of confidence\n#\n");
                      fprintf(ficgp,"\nset parametric;unset label");
                      fprintf(ficgp,"\nset log y;set log x; set xlabel \"p%1d%1d (year-1)\";set ylabel \"p%1d%1d (year-1)\"",k1,l1,k2,l2);
                      fprintf(ficgp,"\nset ter svg size 640, 480");
                      fprintf(fichtmcov,"\n<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,      \
                              subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
                      fprintf(fichtmcov,"\n<br><img src=\"%s_%d%1d%1d-%1d%1d.svg\"> ",subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
                      fprintf(fichtmcov,"\n<br> Correlation at age %d (%.3f),",(int) age, c12);
                      fprintf(ficgp,"\nset out \"%s_%d%1d%1d-%1d%1d.svg\"",subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
                      fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);
                      fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);
                      fprintf(ficgp,"\nplot [-pi:pi] %11.3e+ %.3f*(%11.3e*%11.3e*cos(t)+%11.3e*%11.3e*sin(t)), %11.3e +%.3f*(%11.3e*%11.3e*cos(t)+%11.3e*%11.3e*sin(t)) not",      \
                              mu1,std,v11,sqrt(fabs(lc1)),v12,sqrt(fabs(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(fabs(lc2)),   \
                              mu2,std,v21,sqrt(lc1),v22,sqrt(fabs(lc2)));
                    }/* if first */
                  } /* age mod 5 */
                } /* end loop age */
                fprintf(ficgp,"\nset out;\nset out \"%s_%d%1d%1d-%1d%1d.svg\";replot;set out;",subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
                first=1;
              } /*l12 */
            } /* k12 */
          } /*l1 */
        }/* k1 */
      }  /* loop 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));
      free_matrix(dnewm,1,(nlstate)*(nlstate+ndeath),1,npar);
      free_vector(xp,1,npar);
      fclose(ficresprob);
      fclose(ficresprobcov);
      fclose(ficresprobcor);
      fflush(ficgp);
      fflush(fichtmcov);
    }
   
   
 /******************* Printing html file ***********/  /******************* Printing html file ***********/
 void printinghtml(char fileres[], char title[], char datafile[], int firstpass, \  void printinghtml(char fileresu[], char title[], char datafile[], int firstpass, \
                   int lastpass, int stepm, int weightopt, char model[],\                    int lastpass, int stepm, int weightopt, char model[],\
                   int imx,int jmin, int jmax, double jmeanint,char rfileres[],\                    int imx,int jmin, int jmax, double jmeanint,char rfileres[],\
                   int popforecast, int estepm ,\                    int popforecast, int mobilav, int prevfcast, int mobilavproj, int prevbcast, int estepm , \
                   double jprev1, double mprev1,double anprev1, \                    double jprev1, double mprev1,double anprev1, double dateprev1, double dateprojd, double dateback1, \
                   double jprev2, double mprev2,double anprev2){                    double jprev2, double mprev2,double anprev2, double dateprev2, double dateprojf, double dateback2){
   int jj1, k1, i1, cpt;    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 \     fprintf(fichtm,"<ul><li><a href='#firstorder'>Result files (first order: no variance)</a>\n \
    <li><a href='#secondorder'>Result files (second order (variance)</a>\n \     <li><a href='#secondorder'>Result files (second order (variance)</a>\n \
 </ul>");  </ul>");
    fprintf(fichtm,"<ul><li><h4><a name='firstorder'>Result files (first order: no variance)</a></h4>\n \  /*    fprintf(fichtm,"<ul><li> model=1+age+%s\n \ */
  - Observed prevalence in each state (during the period defined between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf): <a href=\"%s\">%s</a> <br>\n ",  /* </ul>", model); */
            jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,subdirf2(fileres,"p"),subdirf2(fileres,"p"));     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 (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,"\     fprintf(fichtm,"\
  - Estimated transition probabilities over %d (stepm) months: <a href=\"%s\">%s</a><br>\n ",   - Estimated transition probabilities over %d (stepm) months: <a href=\"%s\">%s</a><br>\n ",
            stepm,subdirf2(fileres,"pij"),subdirf2(fileres,"pij"));             stepm,subdirf2(fileresu,"PIJ_"),subdirf2(fileresu,"PIJ_"));
    fprintf(fichtm,"\     fprintf(fichtm,"\
  - Period (stable) prevalence in each health state: <a href=\"%s\">%s</a> <br>\n",   - Estimated back transition probabilities over %d (stepm) months: <a href=\"%s\">%s</a><br>\n ",
            subdirf2(fileres,"pl"),subdirf2(fileres,"pl"));             stepm,subdirf2(fileresu,"PIJB_"),subdirf2(fileresu,"PIJB_"));
    fprintf(fichtm,"\     fprintf(fichtm,"\
  - (a) Life expectancies by health status at initial age, ei. (b) health expectancies by health status at initial age, eij . If one or more covariates are included, specific tables for each value of the covariate are output in sequences within the same file (estepm=%2d months): \   - Period (forward) prevalence in each health state: <a href=\"%s\">%s</a> <br>\n",
    <a href=\"%s\">%s</a> <br>\n",             subdirf2(fileresu,"PL_"),subdirf2(fileresu,"PL_"));
            estepm,subdirf2(fileres,"e"),subdirf2(fileres,"e"));  
    fprintf(fichtm,"\     fprintf(fichtm,"\
  - Population projections by age and states: \   - Backward prevalence in each health state: <a href=\"%s\">%s</a> <br>\n",
    <a href=\"%s\">%s</a> <br>\n</li>", subdirf2(fileres,"f"),subdirf2(fileres,"f"));             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): \
      <a href=\"%s\">%s</a> <br>\n",
              estepm,subdirf2(fileresu,"E_"),subdirf2(fileresu,"E_"));
      if(prevfcast==1){
        fprintf(fichtm,"\
    - Prevalence projections by age and states:                            \
      <a href=\"%s\">%s</a> <br>\n</li>", subdirf2(fileresu,"F_"),subdirf2(fileresu,"F_"));
      }
   
   
      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;
   
      fprintf(fichtm," \n<ul>");
      for(nres=1; nres <= nresult; nres++){ /* For each resultline */
        /* k1=nres; */
        k1=TKresult[nres];
        if(TKresult[nres]==0)k1=1; /* To be checked for no result */
      /* 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>");
   
 fprintf(fichtm," \n<ul><li><b>Graphs</b></li><p>");     jj1=0;
   
  m=pow(2,cptcoveff);     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
  if (cptcovn < 1) {m=1;ncodemax[1]=1;}       /* k1=nres; */
        k1=TKresult[nres];
        if(TKresult[nres]==0) k1=1; /* To be checked for noresult */
      /* for(k1=1; k1<=m;k1++){ /\* For each combination of covariate *\/ */
      /*   if(m != 1 && TKresult[nres]!= k1) */
      /*     continue; */
   
  jj1=0;       /* for(i1=1; i1<=ncodemax[k1];i1++){ */
  for(k1=1; k1<=m;k1++){  
    for(i1=1; i1<=ncodemax[k1];i1++){  
      jj1++;       jj1++;
      if (cptcovn > 0) {       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");         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 ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtab[jj1][cpt]]);           fprintf(fichtm," V%d=%lg ",Tvresult[nres][cpt],TinvDoQresult[nres][Tvresult[nres][cpt]]);
        fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");           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); */
          }
          /* if(nqfveff+nqtveff 0) */ /* Test to be done */
          fprintf(fichtm," (model=1+age+%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); 
            continue;
          }
      }       }
        /* aij, bij */
        fprintf(fichtm,"<br>- Logit model (yours is: logit(pij)=log(pij/pii)= aij+ bij age+%s) as a function of age: <a href=\"%s_%d-1-%d.svg\">%s_%d-1-%d.svg</a><br> \
   <img src=\"%s_%d-1-%d.svg\">",model,subdirf2(optionfilefiname,"PE_"),k1,nres,subdirf2(optionfilefiname,"PE_"),k1,nres,subdirf2(optionfilefiname,"PE_"),k1,nres);
      /* Pij */       /* Pij */
      fprintf(fichtm,"<br>- Pij or Conditional probabilities to be observed in state j being in state i, %d (stepm) months before: <a href=\"%s%d_1.png\">%s%d_1.png</a><br> \       fprintf(fichtm,"<br>\n- P<sub>ij</sub> or conditional probabilities to be observed in state j being in state i, %d (stepm) months before: <a href=\"%s_%d-2-%d.svg\">%s_%d-2-%d.svg</a><br> \
 <img src=\"%s%d_1.png\">",stepm,subdirf2(optionfilefiname,"pe"),jj1,subdirf2(optionfilefiname,"pe"),jj1,subdirf2(optionfilefiname,"pe"),jj1);       <img src=\"%s_%d-2-%d.svg\">",stepm,subdirf2(optionfilefiname,"PE_"),k1,nres,subdirf2(optionfilefiname,"PE_"),k1,nres,subdirf2(optionfilefiname,"PE_"),k1,nres);     
      /* Quasi-incidences */       /* Quasi-incidences */
      fprintf(fichtm,"<br>- Pij or Conditional probabilities to be observed in state j being in state i %d (stepm) months\       fprintf(fichtm,"<br>\n- I<sub>ij</sub> or Conditional probabilities to be observed in state j being in state i %d (stepm) months\
  before but expressed in per year i.e. quasi incidences if stepm is small and probabilities too: <a href=\"%s%d_2.png\">%s%d_2.png</a><br> \   before but expressed in per year i.e. quasi incidences if stepm is small and probabilities too, \
 <img src=\"%s%d_2.png\">",stepm,subdirf2(optionfilefiname,"pe"),jj1,subdirf2(optionfilefiname,"pe"),jj1,subdirf2(optionfilefiname,"pe"),jj1);    incidence (rates) are the limit when h tends to zero of the ratio of the probability  <sub>h</sub>P<sub>ij</sub> \
        /* Period (stable) prevalence in each health state */  divided by h: <sub>h</sub>P<sub>ij</sub>/h : <a href=\"%s_%d-3-%d.svg\">%s_%d-3-%d.svg</a><br> \
        for(cpt=1; cpt<nlstate;cpt++){  <img src=\"%s_%d-3-%d.svg\">",stepm,subdirf2(optionfilefiname,"PE_"),k1,nres,subdirf2(optionfilefiname,"PE_"),k1,nres,subdirf2(optionfilefiname,"PE_"),k1,nres); 
          fprintf(fichtm,"<br>- Period (stable) prevalence in each health state : <a href=\"%s%d_%d.png\">%s%d_%d.png</a><br> \       /* Survival functions (period) in state j */
 <img src=\"%s%d_%d.png\">",subdirf2(optionfilefiname,"p"),cpt,jj1,subdirf2(optionfilefiname,"p"),cpt,jj1,subdirf2(optionfilefiname,"p"),cpt,jj1);       for(cpt=1; cpt<=nlstate;cpt++){
          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);
          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 in state %d and in any other live state (total).\
    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> ", 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 (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 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);
          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,"P_"),cpt,k1,nres);
        }
        if(prevbcast==1){
          /* 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 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>", cpt, cpt, nlstate, subdirf2(optionfilefiname,"PB_"),cpt,k1,nres,subdirf2(optionfilefiname,"PB_"),cpt,k1,nres);
            fprintf(fichtm," (data from text file  <a href=\"%s.txt\">%s.txt</a>)\n<br>",subdirf2(optionfilefiname,"PIJB_"),subdirf2(optionfilefiname,"PIJB_"));
            fprintf(fichtm,"<img src=\"%s_%d-%d-%d.svg\">" ,subdirf2(optionfilefiname,"PB_"),cpt,k1,nres);
          }
        }
        if(prevfcast==1){
          /* 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- Back projection of cross-sectional prevalence (estimated with cases observed from %.1f to %.1f and mobil_average=%d), \
    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++) {       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 : <a href=\"%s%d%d.png\">%s%d%d.png</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.png\">",cpt,subdirf2(optionfilefiname,"exp"),cpt,jj1,subdirf2(optionfilefiname,"exp"),cpt,jj1,subdirf2(optionfilefiname,"exp"),cpt,jj1);         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 i1 *\/ */
  }/* End k1 */     }/* End k1=nres */
  fprintf(fichtm,"</ul>");     fprintf(fichtm,"</ul>");
   
   
  fprintf(fichtm,"\     fprintf(fichtm,"\
 \n<br><li><h4> <a name='secondorder'>Result files (second order: variances)</a></h4>\n\  \n<br><li><h4> <a name='secondorder'>Result files (second order: variances)</a></h4>\n\
  - Parameter file with estimated parameters and covariance matrix: <a href=\"%s\">%s</a> <br>\n", rfileres,rfileres);   - Parameter file with estimated parameters and covariance matrix: <a href=\"%s\">%s</a> <br> \
    - 95%% confidence intervals and Wald tests of the estimated parameters are in the log file if optimization has been done (mle != 0).<br> \
   But because parameters are usually highly correlated (a higher incidence of disability \
   and a higher incidence of recovery can give very close observed transition) it might \
   be very useful to look not only at linear confidence intervals estimated from the \
   variances but at the covariance matrix. And instead of looking at the estimated coefficients \
   (parameters) of the logistic regression, it might be more meaningful to visualize the \
   covariance matrix of the one-step probabilities. \
   See page 'Matrix of variance-covariance of one-step probabilities' below. \n", rfileres,rfileres);
   
  fprintf(fichtm," - Variance of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",     fprintf(fichtm," - Standard deviation of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
          subdirf2(fileres,"prob"),subdirf2(fileres,"prob"));             subdirf2(fileresu,"PROB_"),subdirf2(fileresu,"PROB_"));
  fprintf(fichtm,"\     fprintf(fichtm,"\
  - Variance-covariance of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",   - Variance-covariance of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
          subdirf2(fileres,"probcov"),subdirf2(fileres,"probcov"));             subdirf2(fileresu,"PROBCOV_"),subdirf2(fileresu,"PROBCOV_"));
   
  fprintf(fichtm,"\     fprintf(fichtm,"\
  - Correlation matrix of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",   - Correlation matrix of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
          subdirf2(fileres,"probcor"),subdirf2(fileres,"probcor"));             subdirf2(fileresu,"PROBCOR_"),subdirf2(fileresu,"PROBCOR_"));
  fprintf(fichtm,"\     fprintf(fichtm,"\
  - Variances and covariances of health expectancies by age and <b>initial health status</b> (cov(e<sup>ij</sup>,e<sup>kl</sup>)(estepm=%2d months): \   - Variances and covariances of health expectancies by age and <b>initial health status</b> (cov(e<sup>ij</sup>,e<sup>kl</sup>)(estepm=%2d months): \
    <a href=\"%s\">%s</a> <br>\n</li>",     <a href=\"%s\">%s</a> <br>\n</li>",
            estepm,subdirf2(fileres,"cve"),subdirf2(fileres,"cve"));             estepm,subdirf2(fileresu,"CVE_"),subdirf2(fileresu,"CVE_"));
  fprintf(fichtm,"\     fprintf(fichtm,"\
  - (a) Health expectancies by health status at initial age (e<sup>ij</sup>) and standard errors (in parentheses) (b) life expectancies and standard errors (e<sup>i.</sup>=e<sup>i1</sup>+e<sup>i2</sup>+...)(estepm=%2d months): \   - (a) Health expectancies by health status at initial age (e<sup>ij</sup>) and standard errors (in parentheses) (b) life expectancies and standard errors (e<sup>i.</sup>=e<sup>i1</sup>+e<sup>i2</sup>+...)(estepm=%2d months): \
    <a href=\"%s\">%s</a> <br>\n</li>",     <a href=\"%s\">%s</a> <br>\n</li>",
            estepm,subdirf2(fileres,"stde"),subdirf2(fileres,"stde"));             estepm,subdirf2(fileresu,"STDE_"),subdirf2(fileresu,"STDE_"));
  fprintf(fichtm,"\     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(fileres,"v"),subdirf2(fileres,"v"));             estepm, subdirf2(fileresu,"V_"),subdirf2(fileresu,"V_"));
  fprintf(fichtm,"\     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",   - Total life expectancy and total health expectancies to be spent in each health state e<sup>.j</sup> with their standard errors (if popbased=1, an additional computation is done using the cross-sectional prevalences, i.e population based) (estepm=%d months): <a href=\"%s\">%s</a> <br>\n",
          estepm, subdirf2(fileres,"t"),subdirf2(fileres,"t"));             estepm, subdirf2(fileresu,"T_"),subdirf2(fileresu,"T_"));
  fprintf(fichtm,"\     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(fileres,"vpl"),subdirf2(fileres,"vpl"));             subdirf2(fileresu,"VPL_"),subdirf2(fileresu,"VPL_"));
   
 /*  if(popforecast==1) fprintf(fichtm,"\n */  /*  if(popforecast==1) fprintf(fichtm,"\n */
 /*  - Prevalences forecasting: <a href=\"f%s\">f%s</a> <br>\n */  /*  - Prevalences forecasting: <a href=\"f%s\">f%s</a> <br>\n */
 /*  - Population forecasting (if popforecast=1): <a href=\"pop%s\">pop%s</a> <br>\n */  /*  - Population forecasting (if popforecast=1): <a href=\"pop%s\">pop%s</a> <br>\n */
 /*      <br>",fileres,fileres,fileres,fileres); */  /*      <br>",fileres,fileres,fileres,fileres); */
 /*  else  */  /*  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); */  /*    fprintf(fichtm,"\n No population forecast: popforecast = %d (instead of 1) or stepm = %d (instead of 1) or model=1+age+%s (instead of .)<br><br></li>\n",popforecast, stepm, model); */
  fflush(fichtm);     fflush(fichtm);
  fprintf(fichtm," <ul><li><b>Graphs</b></li><p>");  
      m=pow(2,cptcoveff);
  m=pow(2,cptcoveff);     if (cptcovn < 1) {m=1;ncodemax[1]=1;}
  if (cptcovn < 1) {m=1;ncodemax[1]=1;}  
      fprintf(fichtm," <ul><li><b>Graphs (second order)</b></li><p>");
  jj1=0;  
  for(k1=1; k1<=m;k1++){    jj1=0;
    for(i1=1; i1<=ncodemax[k1];i1++){  
      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 */
        /* k1=nres; */
        k1=TKresult[nres];
        if(TKresult[nres]==0) k1=1; /* To be checked for noresult */
        /* for(k1=1; k1<=m;k1++){ */
        /* if(m != 1 && TKresult[nres]!= k1) */
        /*   continue; */
        /* for(i1=1; i1<=ncodemax[k1];i1++){ */
      jj1++;       jj1++;
      if (cptcovn > 0) {       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");         fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");
        for (cpt=1; cpt<=cptcoveff;cpt++)          for (cpt=1; cpt<=cptcovs;cpt++){  /**< cptcoveff number of variables */
          fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtab[jj1][cpt]]);           fprintf(fichtm," V%d=%lg ",Tvresult[nres][cpt],TinvDoQresult[nres][Tvresult[nres][cpt]]);
        fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");           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)]); */
          }
   
          fprintf(fichtm," (model=1+age+%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++) {       for(cpt=1; cpt<=nlstate;cpt++) {
        fprintf(fichtm,"<br>- Observed (cross-sectional) and period (incidence based) \         fprintf(fichtm,"\n<br>- Observed (cross-sectional with mov_average=%d) and period (incidence based) \
 prevalence (with 95%% confidence interval) in state (%d): %s%d_%d.png <br>\  prevalence (with 95%% confidence interval) in state (%d): <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.png\">",cpt,subdirf2(optionfilefiname,"v"),cpt,jj1,subdirf2(optionfilefiname,"v"),cpt,jj1);           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 \       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\  true period expectancies (those weighted with period prevalences are also\
  drawn in addition to the population based expectancies computed using\   drawn in addition to the population based expectancies computed using\
  observed and cahotic prevalences: %s%d.png<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.png\">",subdirf2(optionfilefiname,"e"),jj1,subdirf2(optionfilefiname,"e"),jj1);       fprintf(fichtm," (data from text file <a href=\"%s.txt\">%s.txt</a>) \n<br>",subdirf2(optionfilefiname,"T_"),subdirf2(optionfilefiname,"T_"));
    } /* end i1 */       fprintf(fichtm,"<img src=\"%s_%d-%d.svg\">",subdirf2(optionfilefiname,"E_"),k1,nres);
  }/* End k1 */       /* } /\* end i1 *\/ */
  fprintf(fichtm,"</ul>");    }/* End nres */
  fflush(fichtm);     fprintf(fichtm,"</ul>");
      fflush(fichtm);
 }  }
   
 /******************* Gnuplot file **************/  /******************* Gnuplot file **************/
 void printinggnuplot(char fileres[], char optionfilefiname[], double ageminpar, double agemaxpar, double fage , 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 dirfileres[256],optfileres[256];
   int m0,cpt=0,k1=0,i=0,k=0,j=0,jk=0,k2=0,k3=0,ij=0,l=0;    char gplotcondition[256], gplotlabel[256];
     int cpt=0,k1=0,i=0,k=0,j=0,jk=0,k2=0,k3=0,k4=0,kf=0,kvar=0,kk=0,ipos=0,iposold=0,ij=0, ijp=0, l=0;
     int lv=0, vlv=0, kl=0;
   int ng=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) { */  /*   if((ficgp=fopen(optionfilegnuplot,"a"))==NULL) { */
 /*     printf("Problem with file %s",optionfilegnuplot); */  /*     printf("Problem with file %s",optionfilegnuplot); */
 /*     fprintf(ficlog,"Problem with file %s",optionfilegnuplot); */  /*     fprintf(ficlog,"Problem with file %s",optionfilegnuplot); */
Line 3970  void printinggnuplot(char fileres[], cha Line 8425  void printinggnuplot(char fileres[], cha
   
   /*#ifdef windows */    /*#ifdef windows */
   fprintf(ficgp,"cd \"%s\" \n",pathc);    fprintf(ficgp,"cd \"%s\" \n",pathc);
     /*#endif */    /*#endif */
   m=pow(2,cptcoveff);    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] for [j=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,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");
     fprintf(ficgp,"\n set log y; unset log x;set xlabel \"Age\"; set ylabel \"Likelihood (-2Log(L))\";");
     /* fprintf(ficgp,"\nset ter svg size 640, 480"); */ /* Too big for svg */
     fprintf(ficgp,"\nset ter pngcairo size 640, 480");
   /* nice for mle=4 plot by number of matrix products.
      replot  "rrtest1/toto.txt" u 2:($4 == 1 && $5==2 ? $9 : 1/0):5 t "p12" with point lc 1 */
   /* replot exp(p1+p2*x)/(1+exp(p1+p2*x)+exp(p3+p4*x)+exp(p5+p6*x)) t "p12(x)"  */
     /* fprintf(ficgp,"\nset out \"%s.svg\";",subdirf2(optionfilefiname,"ILK_")); */
     fprintf(ficgp,"\nset out \"%s-dest.png\";",subdirf2(optionfilefiname,"ILK_"));
     fprintf(ficgp,"\nset log y;plot  \"%s\" u 2:(-$13):6 t \"All sample, transitions colored by destination\" with dots lc variable; set out;\n",subdirf(fileresilk));
     fprintf(ficgp,"\nset out \"%s-ori.png\";",subdirf2(optionfilefiname,"ILK_"));
     fprintf(ficgp,"\nset log y;plot  \"%s\" u 2:(-$13):5 t \"All sample, transitions colored by origin\" with dots lc variable; set out;\n\n",subdirf(fileresilk));
     for (i=1; i<= nlstate ; i ++) {
       fprintf(ficgp,"\nset out \"%s-p%dj.png\";set ylabel \"Probability for each individual/wave\";",subdirf2(optionfilefiname,"ILK_"),i);
       fprintf(ficgp,"unset log;\n# plot weighted, mean weight should have point size of 0.5\n plot  \"%s\"",subdirf(fileresilk));
       fprintf(ficgp,"  u  2:($5 == %d && $6==%d ? $10 : 1/0):($12/4.):6 t \"p%d%d\" with points pointtype 7 ps variable lc variable \\\n",i,1,i,1);
       for (j=2; j<= nlstate+ndeath ; j ++) {
         fprintf(ficgp,",\\\n \"\" u  2:($5 == %d && $6==%d ? $10 : 1/0):($12/4.):6 t \"p%d%d\" with points pointtype 7 ps variable lc variable ",i,j,i,j);
       }
       fprintf(ficgp,";\nset out; unset ylabel;\n"); 
     }
     /* unset log; plot  "rrtest1_sorted_4/ILK_rrtest1_sorted_4.txt" u  2:($4 == 1 && $5==2 ? $9 : 1/0):5 t "p12" with points lc variable */                
     /* fprintf(ficgp,"\nset log y;plot  \"%s\" u 2:(-$11):3 t \"All sample, all transitions\" with dots lc variable",subdirf(fileresilk)); */
     /* fprintf(ficgp,"\nreplot  \"%s\" u 2:($3 <= 3 ? -$11 : 1/0):3 t \"First 3 individuals\" with line lc variable", subdirf(fileresilk)); */
     fprintf(ficgp,"\nset out;unset log\n");
     /* fprintf(ficgp,"\nset out \"%s.svg\"; replot; set out; # bug gnuplot",subdirf2(optionfilefiname,"ILK_")); */
   
     /* Plot the probability implied in the likelihood by covariate value */
     fprintf(ficgp,"\nset ter pngcairo size 640, 480");
     /* if(debugILK==1){ */
     for(kf=1; kf <= ncovf; kf++){ /* For each simple dummy covariate of the model */
       kvar=Tvar[TvarFind[kf]]; /* variable name */
       /* k=18+Tvar[TvarFind[kf]];/\*offset because there are 18 columns in the ILK_ file but could be placed else where *\/ */
       /* k=18+kf;/\*offset because there are 18 columns in the ILK_ file *\/ */
       /* k=19+kf;/\*offset because there are 19 columns in the ILK_ file *\/ */
       k=16+nlstate+kf;/*offset because there are 19 columns in the ILK_ file, first cov Vn on col 21 with 4 living states */
       for (i=1; i<= nlstate ; i ++) {
         fprintf(ficgp,"\nset out \"%s-p%dj-%d.png\";set ylabel \"Probability for each individual/wave\";",subdirf2(optionfilefiname,"ILK_"),i,kvar);
         fprintf(ficgp,"unset log;\n# For each simple dummy covariate of the model \n plot  \"%s\"",subdirf(fileresilk));
         if(gnuplotversion >=5.2){ /* Former gnuplot versions do not have variable pointsize!! */
           fprintf(ficgp,"  u  2:($5 == %d && $6==%d ? $10 : 1/0):($%d==0 ? 7 : 9):($%d==0 ? $6 : $6+4) t \"p%d%d V%d\" with points pt variable ps 0.4 lc variable \\\n",i,1,k,k,i,1,kvar);
           for (j=2; j<= nlstate+ndeath ; j ++) {
             fprintf(ficgp,",\\\n \"\" u  2:($5 == %d && $6==%d ? $10 : 1/0):($%d==0 ? 7 : 9):($%d==0 ? $6 : $6+4) t \"p%d%d V%d\" with points pt variable ps 0.4 lc variable ",i,j,k,k,i,j,kvar);
           }
         }else{
           fprintf(ficgp,"  u  2:($5 == %d && $6==%d ? $10 : 1/0):($%d==0 ? $6 : $6+4) t \"p%d%d V%d\" with points pt 7 ps 0.4 lc variable \\\n",i,1,k,i,1,kvar);
           for (j=2; j<= nlstate+ndeath ; j ++) {
             fprintf(ficgp,",\\\n \"\" u  2:($5 == %d && $6==%d ? $10 : 1/0):($%d==0 ? $6 : $6+4) t \"p%d%d V%d\" with points pt 7 ps 0.4 lc variable ",i,j,k,i,j,kvar);
           }
         }
         fprintf(ficgp,";\nset out; unset ylabel;\n"); 
       }
     } /* End of each covariate dummy */
     for(ncovv=1, iposold=0, kk=0; ncovv <= ncovvt ; ncovv++){
       /* Other example        V1 + V3 + V5 + age*V1  + age*V3 + age*V5 + V1*V3  + V3*V5  + V1*V5 
        *     kmodel       =     1   2     3     4         5        6        7       8        9
        *  varying                   1     2                                 3       4        5
        *  ncovv                     1     2                                3 4     5 6      7 8
        * TvarVV[ncovv]             V3     5                                1 3     3 5      1 5
        * TvarVVind[ncovv]=kmodel    2     3                                7 7     8 8      9 9
        * TvarFind[kmodel]       1   0     0     0         0        0        0       0        0
        * kdata     ncovcol=[V1 V2] nqv=0 ntv=[V3 V4] nqtv=V5
        * Dummy[kmodel]          0   0     1     2         2        3        1       1        1
        */
       ipos=TvarVVind[ncovv]; /* TvarVVind={2, 5, 5] gives the position in the model of the ncovv th varying covariate */
       kvar=TvarVV[ncovv]; /*  TvarVV={3, 1, 3} gives the name of each varying covariate */
       /* printf("DebugILK ficgp ncovv=%d, kvar=TvarVV[ncovv]=%d, ipos=TvarVVind[ncovv]=%d, Dummy[ipos]=%d, Typevar[ipos]=%d\n", ncovv,kvar,ipos,Dummy[ipos],Typevar[ipos]); */
       if(ipos!=iposold){ /* Not a product or first of a product */
         /* printf(" %d",ipos); */
         /* fprintf(ficresilk," V%d",TvarVV[ncovv]); */
         /* printf(" DebugILK ficgp suite ipos=%d != iposold=%d\n", ipos, iposold); */
         kk++; /* Position of the ncovv column in ILK_ */
         k=18+ncovf+kk; /*offset because there are 18 columns in the ILK_ file plus ncovf fixed covariate */
         if(Dummy[ipos]==0 && Typevar[ipos]==0){ /* Only if dummy time varying: Dummy(0, 1=quant singor prod without age,2 dummy*age, 3quant*age) Typevar (0 single, 1=*age,2=Vn*vm)  */
           for (i=1; i<= nlstate ; i ++) {
             fprintf(ficgp,"\nset out \"%s-p%dj-%d.png\";set ylabel \"Probability for each individual/wave\";",subdirf2(optionfilefiname,"ILK_"),i,kvar);
             fprintf(ficgp,"unset log;\n# For each simple dummy covariate of the model \n plot  \"%s\"",subdirf(fileresilk));
   
               /* printf("Before DebugILK gnuplotversion=%g >=5.2\n",gnuplotversion); */
             if(gnuplotversion >=5.2){ /* Former gnuplot versions do not have variable pointsize!! */
               /* printf("DebugILK gnuplotversion=%g >=5.2\n",gnuplotversion); */
               fprintf(ficgp,"  u  2:($5 == %d && $6==%d ? $10 : 1/0):($%d==0 ? 7 : 9):($%d==0 ? $6 : $6+4) t \"p%d%d V%d\" with points pt variable ps 0.4 lc variable \\\n",i,1,k,k,i,1,kvar);
               for (j=2; j<= nlstate+ndeath ; j ++) {
                 fprintf(ficgp,",\\\n \"\" u  2:($5 == %d && $6==%d ? $10 : 1/0):($%d==0 ? 7 : 9):($%d==0 ? $6 : $6+4) t \"p%d%d V%d\" with points pt variable ps 0.4 lc variable ",i,j,k,k,i,j,kvar);
               }
             }else{
               /* printf("DebugILK gnuplotversion=%g <5.2\n",gnuplotversion); */
               fprintf(ficgp,"  u  2:($5 == %d && $6==%d ? $10 : 1/0):($%d==0 ? $6 : $6+4) t \"p%d%d V%d\" with points pt 7 ps 0.4 lc variable \\\n",i,1,k,i,1,kvar);
               for (j=2; j<= nlstate+ndeath ; j ++) {
                 fprintf(ficgp,",\\\n \"\" u  2:($5 == %d && $6==%d ? $10 : 1/0):($%d==0 ? $6 : $6+4) t \"p%d%d V%d\" with points pt 7 ps 0.4 lc variable ",i,j,k,i,j,kvar);
               }
             }
             fprintf(ficgp,";\nset out; unset ylabel;\n"); 
           }
         }/* End if dummy varying */
       }else{ /*Product */
         /* printf("*"); */
         /* fprintf(ficresilk,"*"); */
       }
       iposold=ipos;
     } /* For each time varying covariate */
     /* } /\* debugILK==1 *\/ */
     /* unset log; plot  "rrtest1_sorted_4/ILK_rrtest1_sorted_4.txt" u  2:($4 == 1 && $5==2 ? $9 : 1/0):5 t "p12" with points lc variable */                
     /* fprintf(ficgp,"\nset log y;plot  \"%s\" u 2:(-$11):3 t \"All sample, all transitions\" with dots lc variable",subdirf(fileresilk)); */
     /* fprintf(ficgp,"\nreplot  \"%s\" u 2:($3 <= 3 ? -$11 : 1/0):3 t \"First 3 individuals\" with line lc variable", subdirf(fileresilk)); */
     fprintf(ficgp,"\nset out;unset log\n");
     /* fprintf(ficgp,"\nset out \"%s.svg\"; replot; set out; # bug gnuplot",subdirf2(optionfilefiname,"ILK_")); */
   
   
     
   strcpy(dirfileres,optionfilefiname);    strcpy(dirfileres,optionfilefiname);
   strcpy(optfileres,"vpl");    strcpy(optfileres,"vpl");
  /* 1eme*/    /* 1eme*/
   for (cpt=1; cpt<= nlstate ; cpt ++) {    for (cpt=1; cpt<= nlstate ; cpt ++){ /* For each live state */
     for (k1=1; k1<= m ; k1 ++) { /* plot [100000000000000000000:-100000000000000000000] "mysbiaspar/vplrmysbiaspar.txt to check */      /* for (k1=1; k1<= m ; k1 ++){ /\* For each valid combination of covariate *\/ */
      fprintf(ficgp,"\nset out \"%s%d_%d.png\" \n",subdirf2(optionfilefiname,"v"),cpt,k1);        for(nres=1; nres <= nresult; nres++){ /* For each resultline */
      fprintf(ficgp,"\n#set out \"v%s%d_%d.png\" \n",optionfilefiname,cpt,k1);          k1=TKresult[nres];
      fprintf(ficgp,"set xlabel \"Age\" \n\          if(TKresult[nres]==0) k1=1; /* To be checked for noresult */
 set ylabel \"Probability\" \n\          /* plot [100000000000000000000:-100000000000000000000] "mysbiaspar/vplrmysbiaspar.txt to check */
 set ter png small size 320, 240\n\          /* if(m != 1 && TKresult[nres]!= k1) */
 plot [%.f:%.f] \"%s\" every :::%d::%d u 1:2 \"\%%lf",ageminpar,fage,subdirf2(fileres,"vpl"),k1-1,k1-1);          /*   continue; */
           /* We are interested in selected combination by the resultline */
      for (i=1; i<= nlstate ; i ++) {          /* printf("\n# 1st: Period (stable) prevalence with CI: 'VPL_' files and live state =%d ", cpt); */
        if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");          fprintf(ficgp,"\n# 1st: Forward (stable period) prevalence with CI: 'VPL_' files  and live state =%d ", cpt);
        else        fprintf(ficgp," \%%*lf (\%%*lf)");          strcpy(gplotlabel,"(");
      }          for (k=1; k<=cptcovs; k++){    /* For each covariate k get corresponding value lv for combination k1 */
      fprintf(ficgp,"\" t\"Period (stable) prevalence\" w l lt 0,\"%s\" every :::%d::%d u 1:($2+1.96*$3) \"\%%lf",subdirf2(fileres,"vpl"),k1-1,k1-1);            fprintf(ficgp," V%d=%lg ",Tvresult[nres][k],TinvDoQresult[nres][Tvresult[nres][k]]);
      for (i=1; i<= nlstate ; i ++) {            sprintf(gplotlabel+strlen(gplotlabel)," V%d=%lg ",Tvresult[nres][k],TinvDoQresult[nres][Tvresult[nres][k]]);
        if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");  
        else fprintf(ficgp," \%%*lf (\%%*lf)");          /* for (k=1; k<=cptcoveff; k++){    /\* For each covariate k get corresponding value lv for combination k1 *\/ */
      }           /*   /\* lv= decodtabm(k1,k,cptcoveff); /\\* Should be the value of the covariate corresponding to k1 combination *\\/ *\/ */
      fprintf(ficgp,"\" t\"95\%% CI\" w l lt 1,\"%s\" every :::%d::%d u 1:($2-1.96*$3) \"\%%lf",subdirf2(fileres,"vpl"),k1-1,k1-1);           /*   lv=codtabm(k1,TnsdVar[Tvaraff[k]]); */
      for (i=1; i<= nlstate ; i ++) {          /*   /\* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 *\/ */
        if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");          /*   /\* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 *\/ */
        else fprintf(ficgp," \%%*lf (\%%*lf)");          /*   /\* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 *\/ */
      }            /*   vlv= nbcode[Tvaraff[k]][lv]; /\* vlv is the value of the covariate lv, 0 or 1 *\/ */
      fprintf(ficgp,"\" t\"\" w l lt 1,\"%s\" every :::%d::%d u 1:($%d) t\"Observed prevalence \" w l lt 2",subdirf2(fileres,"p"),k1-1,k1-1,2+4*(cpt-1));          /*   /\* 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); */
   /*2 eme*/          /*   sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv); */
             /* } */
   for (k1=1; k1<= m ; k1 ++) {           /* for (k4=1; k4<= nsq; k4++){ /\* For each selected (single) quantitative value *\/ */
     fprintf(ficgp,"\nset out \"%s%d.png\" \n",subdirf2(optionfilefiname,"e"),k1);          /*   /\* printf(" V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]); *\/ */
     fprintf(ficgp,"set ylabel \"Years\" \nset ter png small size 320, 240\nplot [%.f:%.f] ",ageminpar,fage);          /*   fprintf(ficgp," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]); */
               /*   sprintf(gplotlabel+strlen(gplotlabel)," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]); */
     for (i=1; i<= nlstate+1 ; i ++) {          }
       k=2*i;          strcpy(gplotlabel+strlen(gplotlabel),")");
       fprintf(ficgp,"\"%s\" every :::%d::%d u 1:2 \"\%%lf",subdirf2(fileres,"t"),k1-1,k1-1);          /* printf("\n#\n"); */
       for (j=1; j<= nlstate+1 ; j ++) {          fprintf(ficgp,"\n#\n");
         if (j==i) fprintf(ficgp," \%%lf (\%%lf)");          if(invalidvarcomb[k1]){
         else fprintf(ficgp," \%%*lf (\%%*lf)");            /*k1=k1-1;*/ /* To be checked */
       }               fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
       if (i== 1) fprintf(ficgp,"\" t\"TLE\" w l ,");            continue;
       else fprintf(ficgp,"\" t\"LE in state (%d)\" w l ,",i-1);          }
       fprintf(ficgp,"\"%s\" every :::%d::%d u 1:($2-$3*2) \"\%%lf",subdirf2(fileres,"t"),k1-1,k1-1);        
       for (j=1; j<= nlstate+1 ; j ++) {          fprintf(ficgp,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"V_"),cpt,k1,nres);
         if (j==i) fprintf(ficgp," \%%lf (\%%lf)");          fprintf(ficgp,"\n#set out \"V_%s_%d-%d-%d.svg\" \n",optionfilefiname,cpt,k1,nres);
         else fprintf(ficgp," \%%*lf (\%%*lf)");          /* 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=1+age+%s\" font \"Helvetica,12\"\n",cpt,gplotlabel,model);
       fprintf(ficgp,"\" t\"\" w l lt 0,");          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,"\"%s\" every :::%d::%d u 1:($2+$3*2) \"\%%lf",subdirf2(fileres,"t"),k1-1,k1-1);          /* 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); */
       for (j=1; j<= nlstate+1 ; j ++) {        /* k1-1 error should be nres-1*/
         if (j==i) fprintf(ficgp," \%%lf (\%%lf)");          for (i=1; i<= nlstate ; i ++) {
         else fprintf(ficgp," \%%*lf (\%%*lf)");            if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
       }               else        fprintf(ficgp," %%*lf (%%*lf)");
       if (i== (nlstate+1)) fprintf(ficgp,"\" t\"\" w l lt 0");          }
       else fprintf(ficgp,"\" t\"\" w l lt 0,");          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)");
           } 
           fprintf(ficgp,"\" t\"95%% CI\" w l lt 1,\"%s\" every :::%d::%d u 1:($2==%d ? $3-1.96*$4 : 1/0) \"%%lf %%lf",subdirf2(fileresu,"VPL_"),nres-1,nres-1,nres); 
           for (i=1; i<= nlstate ; i ++) {
             if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
             else fprintf(ficgp," %%*lf (%%*lf)");
           }  
           /* fprintf(ficgp,"\" t\"\" w l lt 1,\"%s\" every :::%d::%d u 1:($%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\" 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)? $%d : 1/0) t 'Observed prevalence in state %d' w l lt 2",kl+1, Tvaraff[k],kl+1+1,nbcode[Tvaraff[k]][lv], \
                         2+cptcoveff*2+3*(cpt-1),  cpt );  /* 4 or 6 ?*/
               }else{
                 fprintf(ficgp,"$%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:($%d) t\"Backward stable prevalence\" w l lt 3",subdirf2(fileresu,"PLB_"),k1-1,k1-1,1+cpt); */
             fprintf(ficgp,",\"%s\" u 1:((",subdirf2(fileresu,"PLB_")); /* Age is in 1, nres in 2 to be fixed */
             if(cptcoveff ==0){
               fprintf(ficgp,"$%d)) t 'Backward prevalence in state %d' with line lt 3",    2+(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]; */
                 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 */ 
                 /*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)? $%d : 1/0) t 'Backward prevalence in state %d' w l lt 3",kl+1, Tvaraff[k],kl+1+1,nbcode[Tvaraff[k]][lv], \
                           2+cptcoveff*2+(cpt-1),  cpt );  /* 4 or 6 ?*/
                 }else{
                   fprintf(ficgp,"$%d==%d && $%d==%d && ",kl+1, Tvaraff[k],kl+1+1,nbcode[Tvaraff[k]][codtabm(k1,TnsdVar[Tvaraff[k]])]);
                   kl++;
                 }
               } /* end covariate */
             } /* end if no covariate */
             if(prevbcast == 1){
               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 *\/ */
     } /* cpt */
   
       
     /*2 eme*/
     /* for (k1=1; k1<= m ; k1 ++){   */
       for(nres=1; nres <= nresult; nres++){ /* For each resultline */
         k1=TKresult[nres];
         if(TKresult[nres]==0) k1=1; /* To be checked for noresult */
         /* if(m != 1 && TKresult[nres]!= k1) */
         /*        continue; */
         fprintf(ficgp,"\n# 2nd: Total life expectancy with CI: 't' files ");
         strcpy(gplotlabel,"(");
         for (k=1; k<=cptcovs; k++){    /* For each covariate k get corresponding value lv for combination k1 */
           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 covariate and each value *\/ */
         /*        /\* lv= decodtabm(k1,k,cptcoveff); /\\* Should be the covariate number corresponding to k1 combination *\\/ *\/ */
         /*        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]][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); 
           continue;
         }
                           
         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*/
           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
             fprintf(ficgp,"\nreplot ");
           for (i=1; i<= nlstate+1 ; i ++) {
             k=2*i;
             fprintf(ficgp,"\"%s\" every :::%d::%d u 1:($2==%d && $4!=0 ?$4 : 1/0) \"%%lf %%lf %%lf",subdirf2(fileresu,"T_"),nres-1,nres-1, vpopbased);
             for (j=1; j<= nlstate+1 ; j ++) {
               if (j==i) fprintf(ficgp," %%lf (%%lf)");
               else fprintf(ficgp," %%*lf (%%*lf)");
             }   
             if (i== 1) fprintf(ficgp,"\" t\"TLE\" w l lt %d, \\\n",i);
             else fprintf(ficgp,"\" t\"LE in state (%d)\" w l lt %d, \\\n",i-1,i+1);
             fprintf(ficgp,"\"%s\" every :::%d::%d u 1:($2==%d && $4!=0 ? $4-$5*2 : 1/0) \"%%lf %%lf %%lf",subdirf2(fileresu,"T_"),nres-1,nres-1,vpopbased);
             for (j=1; j<= nlstate+1 ; j ++) {
               if (j==i) fprintf(ficgp," %%lf (%%lf)");
               else fprintf(ficgp," %%*lf (%%*lf)");
             }   
             fprintf(ficgp,"\" t\"\" w l lt 0,");
             fprintf(ficgp,"\"%s\" every :::%d::%d u 1:($2==%d && $4!=0 ? $4+$5*2 : 1/0) \"%%lf %%lf %%lf",subdirf2(fileresu,"T_"),nres-1,nres-1,vpopbased);
             for (j=1; j<= nlstate+1 ; j ++) {
               if (j==i) fprintf(ficgp," %%lf (%%lf)");
               else fprintf(ficgp," %%*lf (%%*lf)");
             }   
             if (i== (nlstate+1)) fprintf(ficgp,"\" t\"\" w l lt 0");
             else fprintf(ficgp,"\" t\"\" w l lt 0,\\\n");
           } /* state */
         } /* vpopbased */
         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*\/ */
           
           
   /*3eme*/    /*3eme*/
       /* for (k1=1; k1<= m ; k1 ++){ */
   for (k1=1; k1<= m ; k1 ++) {       for(nres=1; nres <= nresult; nres++){ /* For each resultline */
     for (cpt=1; cpt<= nlstate ; cpt ++) {        k1=TKresult[nres];
       /*       k=2+nlstate*(2*cpt-2); */        if(TKresult[nres]==0) k1=1; /* To be checked for noresult */
       k=2+(nlstate+1)*(cpt-1);        /* if(m != 1 && TKresult[nres]!= k1) */
       fprintf(ficgp,"\nset out \"%s%d%d.png\" \n",subdirf2(optionfilefiname,"exp"),cpt,k1);        /*        continue; */
       fprintf(ficgp,"set ter png small size 320, 240\n\  
 plot [%.f:%.f] \"%s\" every :::%d::%d u 1:%d t \"e%d1\" w l",ageminpar,fage,subdirf2(fileres,"e"),k1-1,k1-1,k,cpt);        for (cpt=1; cpt<= nlstate ; cpt ++) { /* Fragile no verification of covariate values */
       /*fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d-2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);          fprintf(ficgp,"\n\n# 3d: Life expectancy with EXP_ files:  combination=%d state=%d",k1, cpt);
         for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");          strcpy(gplotlabel,"(");
         fprintf(ficgp,"\" t \"e%d1\" w l",cpt);          for (k=1; k<=cptcovs; k++){    /* For each covariate k get corresponding value lv for combination k1 */
         fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d+2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);            fprintf(ficgp," V%d=%lg ",Tvresult[nres][k],TinvDoQresult[nres][Tvresult[nres][k]]);
         for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");            sprintf(gplotlabel+strlen(gplotlabel)," V%d=%lg ",Tvresult[nres][k],TinvDoQresult[nres][Tvresult[nres][k]]);
         fprintf(ficgp,"\" t \"e%d1\" w l",cpt);          /* for (k=1; k<=cptcoveff; k++){    /\* For each covariate and each value *\/ */
           /*   /\* lv= decodtabm(k1,k,cptcoveff); /\\* Should be the covariate number corresponding to k1 combination *\\/ *\/ */
           /*   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]]); */
           }
           strcpy(gplotlabel+strlen(gplotlabel),")");
           fprintf(ficgp,"\n#\n");
           if(invalidvarcomb[k1]){
             fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
             continue;
           }
                           
           /*       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);
             for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");
             fprintf(ficgp,"\" t \"e%d1\" w l",cpt);
             fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d+2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);
             for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");
             fprintf(ficgp,"\" t \"e%d1\" w l",cpt);
                                   
           */
           for (i=1; i< nlstate ; i ++) {
             fprintf(ficgp," ,\"%s\" every :::%d::%d u 1:%d t \"e%d%d\" w l",subdirf2(fileresu,"E_"),nres-1,nres-1,k+i,cpt,i+1);
             /*    fprintf(ficgp," ,\"%s\" every :::%d::%d u 1:%d t \"e%d%d\" w l",subdirf2(fileres,"e"),k1-1,k1-1,k+2*i,cpt,i+1);*/
                                   
           } 
           fprintf(ficgp," ,\"%s\" every :::%d::%d u 1:%d t \"e%d.\" w l",subdirf2(fileresu,"E_"),nres-1,nres-1,k+nlstate,cpt);
         }
         fprintf(ficgp,"\nunset label;\n");
       } /* end nres */
     /* } /\* 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(nres=1; nres <= nresult; nres++){ /* For each resultline */
         k1=TKresult[nres];
         if(TKresult[nres]==0) k1=1; /* To be checked for noresult */
         /* if(m != 1 && TKresult[nres]!= k1) */
         /*        continue; */
         for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state cpt*/
           strcpy(gplotlabel,"(");
           fprintf(ficgp,"\n#\n#\n# Survival functions in state %d : 'LIJ_' files, cov=%d state=%d", cpt, k1, cpt);
           for (k=1; k<=cptcovs; k++){    /* For each covariate k get corresponding value lv for combination k1 */
             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 covariate and each value *\/ */
           /*   lv=codtabm(k1,TnsdVar[Tvaraff[k]]); */
           /*   /\* 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 *\/ */
           /*   /\* 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,"\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;
           for (i=1; i<= nlstate ; i ++){
             if(i==1){
               fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJ_"));
             }else{
               fprintf(ficgp,", '' ");
             }
             l=(nlstate+ndeath)*(i-1)+1;
             fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l);
             for (j=2; j<= nlstate+ndeath ; j ++)
               fprintf(ficgp,"+$%d",k+l+j-1);
             fprintf(ficgp,")) t \"l(%d,%d)\" w l",i,cpt);
           } /* nlstate */
           fprintf(ficgp,"\nset out; unset label;\n");
         } /* end cpt state*/ 
       } /* end nres */
     /* } /\* 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(nres=1; nres <= nresult; nres++){ /* For each resultline */
         k1=TKresult[nres];
         if(TKresult[nres]==0) k1=1; /* To be checked for noresult */
         /* 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<=cptcovs; k++){    /* For each covariate k get corresponding value lv for combination k1 */
             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 covariate and each value *\/ */
           /*   lv=codtabm(k1,TnsdVar[Tvaraff[k]]); */
           /*   /\* 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 *\/ */
           /*   /\* 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,"\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;
           for (j=1; j<= nlstate ; j ++){ /* Lived in state j */
             if(j==1)
               fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJ_"));
             else
               fprintf(ficgp,", '' ");
             l=(nlstate+ndeath)*(cpt-1) +j;
             fprintf(ficgp," u (($1==%d && (floor($2)%%5 == 0)) ? ($3):1/0):($%d",k1,k+l);
             /* for (i=2; i<= nlstate+ndeath ; i ++) */
             /*   fprintf(ficgp,"+$%d",k+l+i-1); */
             fprintf(ficgp,") t \"l(%d,%d)\" w l",cpt,j);
           } /* nlstate */
           fprintf(ficgp,", '' ");
           fprintf(ficgp," u (($1==%d && (floor($2)%%5 == 0)) ? ($3):1/0):(",k1);
           for (j=1; j<= nlstate ; j ++){ /* Lived in state j */
             l=(nlstate+ndeath)*(cpt-1) +j;
             if(j < nlstate)
               fprintf(ficgp,"$%d +",k+l);
             else
               fprintf(ficgp,"$%d) t\"l(%d,.)\" w l",k+l,cpt);
           }
           fprintf(ficgp,"\nset out; unset label;\n");
         } /* end cpt state*/ 
       /* } /\* 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(nres=1; nres <= nresult; nres++){ /* For each resultline */
        k1=TKresult[nres];
        if(TKresult[nres]==0) k1=1; /* To be checked for noresult */
        /* 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 (forward): 'pij' files, covariatecombination#=%d state=%d",k1, cpt);
         for (k=1; k<=cptcovs; k++){    /* For each covariate k get corresponding value lv for combination k1 */
           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 covariate and each value *\/ */
         /*        /\* lv= decodtabm(k1,k,cptcoveff); /\\* Should be the covariate number corresponding to k1 combination *\\/ *\/ */
         /*        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]][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,"\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 */
         for (i=1; i<= nlstate ; i ++){ /* State of origin */
           if(i==1)
             fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJ_"));
           else
             fprintf(ficgp,", '' ");
           l=(nlstate+ndeath)*(i-1)+1; /* 1, 1+ nlstate+ndeath, 1+2*(nlstate+ndeath) */
           fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l);
           for (j=2; j<= nlstate ; j ++)
             fprintf(ficgp,"+$%d",k+l+j-1);
           fprintf(ficgp,")) t \"prev(%d,%d)\" w l",i,cpt);
         } /* nlstate */
         fprintf(ficgp,"\nset out; unset label;\n");
       } /* end cpt state*/ 
     } /* end covariate */  
     
     
   /* 7eme */
     if(prevbcast == 1){
       /* CV backward prevalence  for each covariate */
       /* for (k1=1; k1<= m ; k1 ++) /\* For each covariate combination if any *\/ */
       for(nres=1; nres <= nresult; nres++){ /* For each resultline */
         k1=TKresult[nres];
         if(TKresult[nres]==0) k1=1; /* To be checked for noresult */
         /* if(m != 1 && TKresult[nres]!= k1) */
         /*        continue; */
         for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life origin state */
           strcpy(gplotlabel,"(");      
           fprintf(ficgp,"\n#\n#\n#CV Backward stable prevalence: 'pijb' files, covariatecombination#=%d state=%d",k1, cpt);
           for (k=1; k<=cptcovs; k++){    /* For each covariate k get corresponding value lv for combination k1 */
             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 covariate and each value *\/ */
           /*   /\* lv= decodtabm(k1,k,cptcoveff); /\\* Should be the covariate number corresponding to k1 combination *\\/ *\/ */
           /*   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]][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,"\nset out \"%s_%d-%d-%d.svg\" \n",subdirf2(optionfilefiname,"PB_"),cpt,k1,nres);
       for (i=1; i< nlstate ; i ++) {          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," ,\"%s\" every :::%d::%d u 1:%d t \"e%d%d\" w l",subdirf2(fileres,"e"),k1-1,k1-1,k+i,cpt,i+1);          fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \n\
         /*      fprintf(ficgp," ,\"%s\" every :::%d::%d u 1:%d t \"e%d%d\" w l",subdirf2(fileres,"e"),k1-1,k1-1,k+2*i,cpt,i+1);*/  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 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+(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",cpt,i);
           } /* nlstate */
           fprintf(ficgp,"\nset out; unset label;\n");
         } /* end cpt state*/ 
       } /* end covariate */  
     } /* End if prevbcast */
     
     /* 8eme */
     if(prevfcast==1){
       /* 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(nres=1; nres <= nresult; nres++){ /* For each resultline */
         k1=TKresult[nres];
         if(TKresult[nres]==0) k1=1; /* To be checked for noresult */
         /* if(m != 1 && TKresult[nres]!= k1) */
         /*        continue; */
         for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state */
           strcpy(gplotlabel,"(");      
           fprintf(ficgp,"\n#\n#\n#Projection of prevalence to forward stable prevalence (period): 'PROJ_' files, covariatecombination#=%d state=%d",k1, cpt);
           for (k=1; k<=cptcovs; k++){    /* For each covariate k get corresponding value lv for combination k1 */
             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]]); */
           /*   /\* 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,"# hpijx=probability over h years, hp.jx is weighted by observed prev\n ");
       fprintf(ficgp," ,\"%s\" every :::%d::%d u 1:%d t \"e%d.\" w l",subdirf2(fileres,"e"),k1-1,k1-1,k+nlstate,cpt);          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 *\/ */
           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,"F_"));
             }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 'pw.%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 ) ? $%d/(1.-$%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 */
               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<=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 *\/ */
               for (k=1; k<=cptcovs; k++){    /* For each covariate k get corresponding value lv for combination k1 */
                 /* lv=codtabm(k1,TnsdVar[Tvaraff[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==%d " ,kl,lv, kl+1, vlv );
                 kl++;
                 if(k <cptcovs && cptcovs>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 ? $%d/(1.-$%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,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; unset label;\n");
         } /* end cpt state*/
       } /* end covariate */
     } /* End if prevfcast */
     
     if(prevbcast==1){
       /* Back projection from cross-sectional to stable (mixed) for each covariate */
       
       /* for (k1=1; k1<= m ; k1 ++) /\* For each covariate combination if any *\/ */
       for(nres=1; nres <= nresult; nres++){ /* For each resultline */
        k1=TKresult[nres];
        if(TKresult[nres]==0) k1=1; /* To be checked for noresult */
          /* if(m != 1 && TKresult[nres]!= k1) */
          /*       continue; */
         for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state */
           strcpy(gplotlabel,"(");      
           fprintf(ficgp,"\n#\n#\n#Back projection of prevalence to stable (mixed) back prevalence: 'BPROJ_' files, covariatecombination#=%d originstate=%d",k1, cpt);
           for (k=1; k<=cptcovs; k++){    /* For each covariate k get corresponding value lv for combination k1 */
             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 *\/ */
             if(cptcovs ==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[modelresult[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 <cptcovs && cptcovs>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 */
       
   /* CV preval stable (period) */  
   for (k1=1; k1<= m ; k1 ++) {   
     for (cpt=1; cpt<=nlstate ; cpt ++) {  
       k=3;  
       fprintf(ficgp,"\nset out \"%s%d_%d.png\" \n",subdirf2(optionfilefiname,"p"),cpt,k1);  
       fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \n\  
 set ter png small size 320, 240\n\  
 unset log y\n\  
 plot [%.f:%.f] \"%s\" u ($1==%d ? ($3):1/0):($%d/($%d",ageminpar,agemaxpar,subdirf2(fileres,"pij"),k1,k+cpt+1,k+1);  
         
       for (i=1; i< nlstate ; i ++)  
         fprintf(ficgp,"+$%d",k+i+1);  
       fprintf(ficgp,")) t\"prev(%d,%d)\" w l",cpt,cpt+1);  
         
       l=3+(nlstate+ndeath)*cpt;  
       fprintf(ficgp,",\"%s\" u ($1==%d ? ($3):1/0):($%d/($%d",subdirf2(fileres,"pij"),k1,l+cpt+1,l+1);  
       for (i=1; i< nlstate ; i ++) {  
         l=3+(nlstate+ndeath)*cpt;  
         fprintf(ficgp,"+$%d",l+i+1);  
       }  
       fprintf(ficgp,")) t\"prev(%d,%d)\" w l\n",cpt+1,cpt+1);     
     }   
   }    
       
   /* proba elementaires */    /* 9eme writing MLE parameters */
     fprintf(ficgp,"\n##############\n#9eme MLE estimated parameters\n#############\n");
   for(i=1,jk=1; i <=nlstate; i++){    for(i=1,jk=1; i <=nlstate; i++){
       fprintf(ficgp,"# initial state %d\n",i);
     for(k=1; k <=(nlstate+ndeath); k++){      for(k=1; k <=(nlstate+ndeath); k++){
       if (k != i) {        if (k != i) {
           fprintf(ficgp,"#   current state %d\n",k);
         for(j=1; j <=ncovmodel; j++){          for(j=1; j <=ncovmodel; j++){
           fprintf(ficgp,"p%d=%f ",jk,p[jk]);            fprintf(ficgp,"p%d=%f; ",jk,p[jk]);
           jk++;             jk++; 
           fprintf(ficgp,"\n");  
         }          }
           fprintf(ficgp,"\n");
       }        }
     }      }
    }    }
     fprintf(ficgp,"##############\n#\n");
     
   /*goto avoid;*/    /*goto avoid;*/
    for(ng=1; ng<=2;ng++){ /* Number of graphics: first is probabilities second is incidence per year*/    /* 10eme Graphics of probabilities or incidences using written MLE parameters */
      for(jk=1; jk <=m; jk++) {    fprintf(ficgp,"\n##############\n#10eme Graphics of probabilities or incidences\n#############\n");
        fprintf(ficgp,"\nset out \"%s%d_%d.png\" \n",subdirf2(optionfilefiname,"pe"),jk,ng);     fprintf(ficgp,"# logi(p12/p11)=a12+b12*age+c12age*age+d12*V1+e12*V1*age\n");
        if (ng==2)    fprintf(ficgp,"# logi(p12/p11)=p1 +p2*age +p3*age*age+ p4*V1+ p5*V1*age\n");
          fprintf(ficgp,"\nset ylabel \"Quasi-incidence per year\"\n");    fprintf(ficgp,"# logi(p13/p11)=a13+b13*age+c13age*age+d13*V1+e13*V1*age\n");
        else    fprintf(ficgp,"# logi(p13/p11)=p6 +p7*age +p8*age*age+ p9*V1+ p10*V1*age\n");
          fprintf(ficgp,"\nset title \"Probability\"\n");    fprintf(ficgp,"# p12+p13+p14+p11=1=p11(1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
        fprintf(ficgp,"\nset ter png small size 320, 240\nset log y\nplot  [%.f:%.f] ",ageminpar,agemaxpar);    fprintf(ficgp,"#                      +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age)+...)\n");
        i=1;    fprintf(ficgp,"# p11=1/(1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
        for(k2=1; k2<=nlstate; k2++) {    fprintf(ficgp,"#                      +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age)+...)\n");
          k3=i;    fprintf(ficgp,"# p12=exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)/\n");
          for(k=1; k<=(nlstate+ndeath); k++) {    fprintf(ficgp,"#     (1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
            if (k != k2){    fprintf(ficgp,"#       +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age))\n");
              if(ng==2)    fprintf(ficgp,"#       +exp(a14+b14*age+c14age*age+d14*V1+e14*V1*age)+...)\n");
                fprintf(ficgp," %f*exp(p%d+p%d*x",YEARM/stepm,i,i+1);    fprintf(ficgp,"#\n");
              else    for(ng=1; ng<=3;ng++){ /* Number of graphics: first is logit, 2nd is probabilities, third is incidences per year*/
                fprintf(ficgp," exp(p%d+p%d*x",i,i+1);      fprintf(ficgp,"#Number of graphics: first is logit, 2nd is probabilities, third is incidences per year\n");
              ij=1;/* To be checked else nbcode[0][0] wrong */      fprintf(ficgp,"#model=1+age+%s \n",model);
              for(j=3; j <=ncovmodel; j++) {      fprintf(ficgp,"# Type of graphic ng=%d\n",ng);
                /* if(((j-2)==Tage[ij]) &&(ij <=cptcovage)) { /\* Bug valgrind *\/ */      /* fprintf(ficgp,"#   k1=1 to 2^%d=%d\n",cptcoveff,m);/\* to be checked *\/ */
                /*        /\*fprintf(ficgp,"+p%d*%d*x",i+j-1,nbcode[Tvar[j-2]][codtab[jk][Tvar[j-2]]]);*\/ */      fprintf(ficgp,"#   k1=1 to 2^%d=%d\n",cptcovs,m);/* to be checked */
                /*        ij++; */      /* for(k1=1; k1 <=m; k1++)  /\* For each combination of covariate *\/ */
                /* } */      for(nres=1; nres <= nresult; nres++){ /* For each resultline */
                /* else */       /* k1=nres; */
                  fprintf(ficgp,"+p%d*%d",i+j-1,nbcode[Tvar[j-2]][codtab[jk][j-2]]);        k1=TKresult[nres];
              }        if(TKresult[nres]==0) k1=1; /* To be checked for noresult */
              fprintf(ficgp,")/(1");        fprintf(ficgp,"\n\n# Resultline k1=%d ",k1);
                      strcpy(gplotlabel,"(");
              for(k1=1; k1 <=nlstate; k1++){           /*sprintf(gplotlabel+strlen(gplotlabel)," Dummy combination %d ",k1);*/
                fprintf(ficgp,"+exp(p%d+p%d*x",k3+(k1-1)*ncovmodel,k3+(k1-1)*ncovmodel+1);        for (k=1; k<=cptcovs; k++){  /**< cptcovs number of SIMPLE covariates in the model V2+V1 =2 (dummy or quantit or time varying) */
                ij=1;          /* for each resultline nres, and position k, Tvresult[nres][k] gives the name of the variable and
                for(j=3; j <=ncovmodel; j++){             TinvDoQresult[nres][Tvresult[nres][k]] gives its value double or integer) */
                  /* if(((j-2)==Tage[ij]) &&(ij <=cptcovage)) { */          fprintf(ficgp," V%d=%lg ",Tvresult[nres][k],TinvDoQresult[nres][Tvresult[nres][k]]);
                  /*   fprintf(ficgp,"+p%d*%d*x",k3+(k1-1)*ncovmodel+1+j-2,nbcode[Tvar[j-2]][codtab[jk][Tvar[j-2]]]); */          sprintf(gplotlabel+strlen(gplotlabel)," V%d=%lg ",Tvresult[nres][k],TinvDoQresult[nres][Tvresult[nres][k]]);
                  /*   ij++; */        }
                  /* } */        /* if(m != 1 && TKresult[nres]!= k1) */
                  /* else */        /*        continue; */
                    fprintf(ficgp,"+p%d*%d",k3+(k1-1)*ncovmodel+1+j-2,nbcode[Tvar[j-2]][codtab[jk][j-2]]);        /* fprintf(ficgp,"\n\n# Combination of dummy  k1=%d which is ",k1); */
                }        /* strcpy(gplotlabel,"("); */
                fprintf(ficgp,")");        /* /\*sprintf(gplotlabel+strlen(gplotlabel)," Dummy combination %d ",k1);*\/ */
              }        /* for (k=1; k<=cptcoveff; k++){    /\* For each correspondig covariate value  *\/ */
              fprintf(ficgp,") t \"p%d%d\" ", k2,k);        /*        /\* lv= decodtabm(k1,k,cptcoveff); /\\* Should be the covariate value corresponding to k1 combination and kth covariate *\\/ *\/ */
              if ((k+k2)!= (nlstate*2+ndeath)) fprintf(ficgp,",");        /*        lv= codtabm(k1,TnsdVar[Tvaraff[k]]); /\* Should be the covariate value corresponding to combination k1 and covariate k *\/ */
              i=i+ncovmodel;        /*        /\* 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 *\/ */
          } /* end k */        /*        /\* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 *\/ */
        } /* end k2 */        /*        /\* vlv= nbcode[Tvaraff[k]][lv]; *\/ */
      } /* end jk */        /*        vlv= nbcode[Tvaraff[k]][codtabm(k1,TnsdVar[Tvaraff[k]])]; */
    } /* end ng */        /*        fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv); */
  avoid:        /*        sprintf(gplotlabel+strlen(gplotlabel)," V%d=%d ",Tvaraff[k],vlv); */
    fflush(ficgp);         /* } */
         /* 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 */
           fprintf(ficgp,"\nunset log y");
         }else if (ng==2){
           fprintf(ficgp,"\nset ylabel \"Probability\"\n");
           fprintf(ficgp,"\nset log y");
         }else if (ng==3){
           fprintf(ficgp,"\nset ylabel \"Quasi-incidence per year\"\n");
           fprintf(ficgp,"\nset log y");
         }else
           fprintf(ficgp,"\nunset title ");
         fprintf(ficgp,"\nplot  [%.f:%.f] ",ageminpar,agemaxpar);
         i=1;
         for(k2=1; k2<=nlstate; k2++) {
           k3=i;
           for(k=1; k<=(nlstate+ndeath); k++) {
             if (k != k2){
               switch( ng) {
               case 1:
                 if(nagesqr==0)
                   fprintf(ficgp," p%d+p%d*x",i,i+1);
                 else /* nagesqr =1 */
                   fprintf(ficgp," p%d+p%d*x+p%d*x*x",i,i+1,i+1+nagesqr);
                 break;
               case 2: /* ng=2 */
                 if(nagesqr==0)
                   fprintf(ficgp," exp(p%d+p%d*x",i,i+1);
                 else /* nagesqr =1 */
                   fprintf(ficgp," exp(p%d+p%d*x+p%d*x*x",i,i+1,i+1+nagesqr);
                 break;
               case 3:
                 if(nagesqr==0)
                   fprintf(ficgp," %f*exp(p%d+p%d*x",YEARM/stepm,i,i+1);
                 else /* nagesqr =1 */
                   fprintf(ficgp," %f*exp(p%d+p%d*x+p%d*x*x",YEARM/stepm,i,i+1,i+1+nagesqr);
                 break;
               }
               ij=1;/* To be checked else nbcode[0][0] wrong */
               ijp=1; /* product no age */
               /* 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); */
                 switch(Typevar[j]){
                 case 1:
                   if(cptcovage >0){ /* V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1, 2 V5 and V1 */
                     if(j==Tage[ij]) { /* Product by age  To be looked at!!*//* Bug valgrind */
                       if(ij <=cptcovage) { /* V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1, 2 V5 and V1 */
                         if(DummyV[j]==0){/* Bug valgrind */
                           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++;
                       }
                     }
                   }
                   break;
                 case 2:
                   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",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",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",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 */
                   }
                   break;
                 case 3:
                   if(cptcovdageprod >0){
                     /* if(j==Tprod[ijp]) { */ /* not necessary */ 
                       /* printf("Tprod[%d]=%d, j=%d\n", ij, Tprod[ijp], j); */
                       if(ijp <=cptcovprod) { /* Product Vn*Vm and age*VN*Vm*/
                         if(DummyV[Tvardk[ijp][1]]==0){/* Vn is dummy */
                           if(DummyV[Tvardk[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*x",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*x",i+j+2+nagesqr-1,Tinvresult[nres][Tvardk[ijp][1]],Tqinvresult[nres][Tvardk[ijp][2]]);
                           }
                         }else{ /* age* Vn*Vm Vn is quanti HERE */
                           if(DummyV[Tvard[ijp][2]]==0){
                             fprintf(ficgp,"+p%d*%d*%f*x",i+j+2+nagesqr-1,Tinvresult[nres][Tvardk[ijp][2]],Tqinvresult[nres][Tvardk[ijp][1]]);
                           }else{ /* Both quanti */
                             fprintf(ficgp,"+p%d*%f*%f*x",i+j+2+nagesqr-1,Tqinvresult[nres][Tvardk[ijp][1]],Tqinvresult[nres][Tvardk[ijp][2]]);
                           }
                         }
                         ijp++;
                       }
                       /* } */ /* end Tprod */
                   }
                   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]]); /*  */
                   }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(k1,Tvar[j-2])]); */
                   }
                  /* end simple */
                   break;
                 default:
                   break;
                 } /* end switch */
               } /* end j */
             }else{ /* k=k2 */
               if(ng !=1 ){ /* For logit formula of log p11 is more difficult to get */
                 fprintf(ficgp," (1.");i=i-ncovmodel;
               }else
                 i=i-ncovmodel;
             }
             
             if(ng != 1){
               fprintf(ficgp,")/(1");
               
               for(cpt=1; cpt <=nlstate; cpt++){ 
                 if(nagesqr==0)
                   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+(cpt-1)*ncovmodel,k3+(cpt-1)*ncovmodel+1,k3+(cpt-1)*ncovmodel+1+nagesqr);
                  
                 ij=1;
                 ijp=1;
                 /* for(j=3; j <=ncovmodel-nagesqr; j++){ */
                 for(j=1; j <=cptcovt; j++) { /* For each covariate of the simplified model */
                   switch(Typevar[j]){
                   case 1:
                     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;
                   case 2:
                     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 3:
                     if(cptcovdageprod >0){
                       /* if(j==Tprod[ijp]) { /\* *\/  */
                         /* printf("Tprod[%d]=%d, j=%d\n", ij, Tprod[ijp], j); */
                         if(ijp <=cptcovprod) { /* Product */
                           if(DummyV[Tvardk[ijp][1]]==0){/* Vn is dummy */
                             if(DummyV[Tvardk[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*x",k3+(cpt-1)*ncovmodel+1+j+nagesqr,Tinvresult[nres][Tvardk[ijp][1]],Tinvresult[nres][Tvardk[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*x",k3+(cpt-1)*ncovmodel+1+j+nagesqr,Tinvresult[nres][Tvardk[ijp][1]],Tqinvresult[nres][Tvardk[ijp][2]]);
                               /* fprintf(ficgp,"+p%d*%d*%f*x",i+j+2+nagesqr-1,Tinvresult[nres][Tvard[ijp][1]],Tqinvresult[nres][Tvard[ijp][2]]); */
                             }
                           }else{ /* Vn*Vm Vn is quanti */
                             if(DummyV[Tvardk[ijp][2]]==0){
                               fprintf(ficgp,"+p%d*%d*%f",k3+(cpt-1)*ncovmodel+1+j+nagesqr,Tinvresult[nres][Tvardk[ijp][2]],Tqinvresult[nres][Tvardk[ijp][1]]);
                               /* fprintf(ficgp,"+p%d*%d*%f*x",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][Tvardk[ijp][1]],Tqinvresult[nres][Tvardk[ijp][2]]);
                               /* fprintf(ficgp,"+p%d*%f*%f*x",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," 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," 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," 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,",");
             if (ng == 1 && k!=k2 && (k+k2)!= (nlstate*2+ndeath))
               fprintf(ficgp,",");
             i=i+ncovmodel;
           } /* end k */
         } /* end k2 */
         /* fprintf(ficgp,"\n set out; unset label;set key default;\n"); */
         fprintf(ficgp,"\n set out; unset title;set key default;\n");
       } /* end resultline */
     } /* end ng */
     /* avoid: */
     fflush(ficgp); 
 }  /* end gnuplot */  }  /* end gnuplot */
   
   
 /*************** Moving average **************/  /*************** Moving average **************/
 int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav){  /* int movingaverage(double ***probs, double bage, double fage, double ***mobaverage, int mobilav, double bageout, double fageout){ */
    int movingaverage(double ***probs, double bage, double fage, double ***mobaverage, int mobilav){
      
      int i, cpt, cptcod;
      int modcovmax =1;
      int mobilavrange, mob;
      int iage=0;
      int firstA1=0, firstA2=0;
   
      double sum=0., sumr=0.;
      double age;
      double *sumnewp, *sumnewm, *sumnewmr;
      double *agemingood, *agemaxgood; 
      double *agemingoodr, *agemaxgoodr; 
     
     
      /* modcovmax=2*cptcoveff;  Max number of modalities. We suppose  */
      /*              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.; sumnewmr[cptcod]=0.;
        sumnewp[cptcod]=0.;
        agemingood[cptcod]=0, agemingoodr[cptcod]=0;
        agemaxgood[cptcod]=0, agemaxgoodr[cptcod]=0;
      }
      if (cptcovn<1) ncovcombmax=1; /* At least 1 pass */
     
      if(mobilav==-1 || mobilav==1||mobilav ==3 ||mobilav==5 ||mobilav== 7){
        if(mobilav==1 || mobilav==-1) mobilavrange=5; /* default */
        else mobilavrange=mobilav;
        for (age=bage; age<=fage; age++)
          for (i=1; i<=nlstate;i++)
            for (cptcod=1;cptcod<=ncovcombmax;cptcod++)
              mobaverage[(int)age][i][cptcod]=probs[(int)age][i][cptcod];
        /* We keep the original values on the extreme ages bage, fage and for 
           fage+1 and bage-1 we use a 3 terms moving average; for fage+2 bage+2
           we use a 5 terms etc. until the borders are no more concerned. 
        */ 
        for (mob=3;mob <=mobilavrange;mob=mob+2){
          for (age=bage+(mob-1)/2; age<=fage-(mob-1)/2; age++){
            for (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{
        printf("Error internal in movingaverage, mobilav=%d.\n",mobilav);
        return -1;
      }
   
   int i, cpt, cptcod;     for (cptcod=1;cptcod<=ncovcombmax;cptcod++){ /* for each combination */
   int modcovmax =1;       /* for (age=bage+(mob-1)/2; age<=fage-(mob-1)/2; age++){ */
   int mobilavrange, mob;       if(invalidvarcomb[cptcod]){
   double age;         printf("\nCombination (%d) ignored because no cases \n",cptcod); 
          continue;
   modcovmax=2*cptcoveff;/* Max number of modalities. We suppose        }
                            a covariate has 2 modalities */  
   if (cptcovn<1) modcovmax=1; /* At least 1 pass */  
   
   if(mobilav==1||mobilav ==3 ||mobilav==5 ||mobilav== 7){  
     if(mobilav==1) mobilavrange=5; /* default */  
     else mobilavrange=mobilav;  
     for (age=bage; age<=fage; age++)  
       for (i=1; i<=nlstate;i++)  
         for (cptcod=1;cptcod<=modcovmax;cptcod++)  
           mobaverage[(int)age][i][cptcod]=probs[(int)age][i][cptcod];  
     /* We keep the original values on the extreme ages bage, fage and for   
        fage+1 and bage-1 we use a 3 terms moving average; for fage+2 bage+2  
        we use a 5 terms etc. until the borders are no more concerned.   
     */   
     for (mob=3;mob <=mobilavrange;mob=mob+2){  
       for (age=bage+(mob-1)/2; age<=fage-(mob-1)/2; age++){  
         for (i=1; i<=nlstate;i++){  
           for (cptcod=1;cptcod<=modcovmax;cptcod++){  
             mobaverage[(int)age][i][cptcod] =probs[(int)age][i][cptcod];  
               for (cpt=1;cpt<=(mob-1)/2;cpt++){  
                 mobaverage[(int)age][i][cptcod] +=probs[(int)age-cpt][i][cptcod];  
                 mobaverage[(int)age][i][cptcod] +=probs[(int)age+cpt][i][cptcod];  
               }  
             mobaverage[(int)age][i][cptcod]=mobaverage[(int)age][i][cptcod]/mob;  
           }  
         }  
       }/* end age */  
     }/* end mob */  
   }else return -1;  
   return 0;  
 }/* End movingaverage */  
   
        for (age=fage-(mob-1)/2; age>=bage+(mob-1)/2; age--){ /*looking for the youngest and oldest good 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 */
            agemingoodr[cptcod]=age;
          }
          if(fabs(sumnewm[cptcod] - 1.) <= 1.e-3) { /* good */
              agemingood[cptcod]=age;
          }
        } /* age */
        for (age=bage+(mob-1)/2; age<=fage-(mob-1)/2; age++){ /*looking for the youngest and oldest good 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;
          }
        } /* age */
        /* Thus we have agemingood and agemaxgood as well as goodr for raw (preobs) */
        /* 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 */
   
        for (age=bage+(mob-1)/2; age<=fage; age++){/* From youngest, finding the oldest 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(mobilav==-1){ /* Forcing raw ages if good else agemingood */
            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); */
          sumnewp[cptcod]=0.;
          sumnewm[cptcod]=0.;
          for (i=1; i<=nlstate;i++){
            sumnewp[cptcod]+=probs[(int)age][i][cptcod];
            sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
            /* printf("%.4f %.4f ",probs[(int)age][i][cptcod], mobaverage[(int)age][i][cptcod]); */
          }
          /* printf("%.4f %.4f \n",sumnewp[cptcod], sumnewm[cptcod]); */
        }
        /* printf("\n"); */
        /* } */
   
        /* brutal averaging */
        /* for (i=1; i<=nlstate;i++){ */
        /*   for (age=1; age<=bage; age++){ */
        /*          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]); *\/ */
        /*   }      */
        /*   for (age=fage; age<=AGESUP; age++){ */
        /*          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]); *\/ */
        /*   } */
        /* } /\* end i status *\/ */
        /* for (i=nlstate+1; i<=nlstate+ndeath;i++){ */
        /*   for (age=1; age<=AGESUP; age++){ */
        /*          /\*printf("i=%d, age=%d, cptcod=%d\n",i, (int)age, cptcod);*\/ */
        /*          mobaverage[(int)age][i][cptcod]=0.; */
        /*   } */
        /* } */
      }/* end cptcod */
      free_vector(agemaxgoodr,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 ******************/  /************** Forecasting ******************/
 prevforecast(char fileres[], double anproj1, double mproj1, double jproj1, double ageminpar, double agemax, double dateprev1, double dateprev2, int mobilav, double bage, double fage, int firstpass, int lastpass, double anproj2, double p[], int cptcoveff){  /* 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       agemin, agemax range of age
      dateprev1 dateprev2 range of dates during which prevalence is computed       dateprev1 dateprev2 range of dates during which prevalence is computed
      anproj2 year of en of projection (same day and month as proj1).  
   */    */
   int yearp, stepsize, hstepm, nhstepm, j, k, c, cptcod, i, h, i1;    /* double anprojd, mprojd, jprojd; */
   int *popage;    /* double anprojf, mprojf, jprojf; */
     int yearp, stepsize, hstepm, nhstepm, j, k, cptcod, i, h, i1, k4, nres=0;
   double agec; /* generic age */    double agec; /* generic age */
   double agelim, ppij, yp,yp1,yp2,jprojmean,mprojmean,anprojmean;    double agelim, ppij, yp,yp1,yp2;
   double *popeffectif,*popcount;    double *popeffectif,*popcount;
   double ***p3mat;    double ***p3mat;
   double ***mobaverage;    /* double ***mobaverage; */
   char fileresf[FILENAMELENGTH];    char fileresf[FILENAMELENGTH];
   
   agelim=AGESUP;    agelim=AGESUP;
   prevalence(probs, ageminpar, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass);    /* 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).
        We still use firstpass and lastpass as another selection.
     */
     /* freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint,strstart,\ */
     /*          firstpass, lastpass,  stepm,  weightopt, model); */
     
   strcpy(fileresf,"f");     strcpy(fileresf,"F_"); 
   strcat(fileresf,fileres);    strcat(fileresf,fileresu);
   if((ficresf=fopen(fileresf,"w"))==NULL) {    if((ficresf=fopen(fileresf,"w"))==NULL) {
     printf("Problem with forecast resultfile: %s\n", fileresf);      printf("Problem with forecast resultfile: %s\n", fileresf);
     fprintf(ficlog,"Problem with forecast resultfile: %s\n", fileresf);      fprintf(ficlog,"Problem with forecast resultfile: %s\n", fileresf);
   }    }
   printf("Computing forecasting: result on file '%s' \n", fileresf);    printf("\nComputing forecasting: result on file '%s', please wait... \n", fileresf);
   fprintf(ficlog,"Computing forecasting: result on file '%s' \n", fileresf);    fprintf(ficlog,"\nComputing forecasting: result on file '%s', please wait... \n", fileresf);
   
   if (cptcoveff==0) ncodemax[cptcoveff]=1;    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;    stepsize=(int) (stepm+YEARM-1)/YEARM;
   if (stepm<=12) stepsize=1;    if (stepm<=12) stepsize=1;
   if(estepm < stepm){    if(estepm < stepm){
     printf ("Problem %d lower than %d\n",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;
   
   hstepm=hstepm/stepm;     
   yp1=modf(dateintmean,&yp);/* extracts integral of datemean in yp  and    /* yp1=modf(dateintmean,&yp);/\* extracts integral of datemean in yp  and */
                                fractional in yp1 */    /*                              fractional in yp1 *\/ */
   anprojmean=yp;    /* aintmean=yp; */
   yp2=modf((yp1*12),&yp);    /* yp2=modf((yp1*12),&yp); */
   mprojmean=yp;    /* mintmean=yp; */
   yp1=modf((yp2*30.5),&yp);    /* yp1=modf((yp2*30.5),&yp); */
   jprojmean=yp;    /* jintmean=yp; */
   if(jprojmean==0) jprojmean=1;    /* if(jintmean==0) jintmean=1; */
   if(mprojmean==0) jprojmean=1;    /* if(mintmean==0) mintmean=1; */
   
   i1=cptcoveff;  
   if (cptcovn < 1){i1=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");    fprintf(ficresf,"#****** Routine prevforecast **\n");
     
 /*            if (h==(int)(YEARM*yearp)){ */  /*            if (h==(int)(YEARM*yearp)){ */
   for(cptcov=1, k=0;cptcov<=i1;cptcov++){    for(nres=1; nres <= nresult; nres++){ /* For each resultline */
     for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){      k=TKresult[nres];
       k=k+1;      if(TKresult[nres]==0) k=1; /* To be checked for noresult */
       fprintf(ficresf,"\n#******");      /*  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) *\/ */
       for(j=1;j<=cptcoveff;j++) {      /* if(i1 != 1 && TKresult[nres]!= k) */
         fprintf(ficresf," V%d=%d, hpijx=probability over h years, hp.jx is weighted by observed prev ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);      /*   continue; */
       }      /* if(invalidvarcomb[k]){ */
       fprintf(ficresf,"******\n");      /*   printf("\nCombination (%d) projection ignored because no cases \n",k);  */
       fprintf(ficresf,"# Covariate valuofcovar yearproj age");      /*   continue; */
       for(j=1; j<=nlstate+ndeath;j++){       /* } */
         for(i=1; i<=nlstate;i++)                    fprintf(ficresf,"\n#****** hpijx=probability over h years, hp.jx is weighted by observed prev \n#");
           fprintf(ficresf," p%d%d",i,j);      for(j=1;j<=cptcovs;j++){
         fprintf(ficresf," p.%d",j);        /* for(j=1;j<=cptcoveff;j++) { */
       }      /*   /\* fprintf(ficresf," V%d (=) %d",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,Tvaraff[j])]); *\/ */
       for (yearp=0; yearp<=(anproj2-anproj1);yearp +=stepsize) {       /*   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]); */
       /* } */
         fprintf(ficresf," V%d=%lg ",Tvresult[nres][j],TinvDoQresult[nres][Tvresult[nres][j]]);
       }
    
       fprintf(ficresf," yearproj age");
       for(j=1; j<=nlstate+ndeath;j++){ 
         for(i=1; i<=nlstate;i++)        
           fprintf(ficresf," p%d%d",i,j);
         fprintf(ficresf," wp.%d",j);
       }
       for (yearp=0; yearp<=(anprojf-anprojd);yearp +=stepsize) {
         fprintf(ficresf,"\n");
         fprintf(ficresf,"\n# Forecasting at date %.lf/%.lf/%.lf ",jprojd,mprojd,anprojd+yearp);   
         /* 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) {
               break;
             }
           }
         fprintf(ficresf,"\n");          fprintf(ficresf,"\n");
         fprintf(ficresf,"\n# Forecasting at date %.lf/%.lf/%.lf ",jproj1,mproj1,anproj1+yearp);             /* for(j=1;j<=cptcoveff;j++)  */
           for(j=1;j<=cptcovs;j++) 
             fprintf(ficresf,"%d %lg ",Tvresult[nres][j],TinvDoQresult[nres][Tvresult[nres][j]]);
             /* fprintf(ficresf,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,Tvaraff[j])]); /\* Tvaraff not correct *\/ */
             /* fprintf(ficresf,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,TnsdVar[Tvaraff[j]])]); /\* TnsdVar[Tvaraff]  correct *\/ */
           fprintf(ficresf,"%.f %.f ",anprojd+yearp,agec+h*hstepm/YEARM*stepm);
           
           for(j=1; j<=nlstate+ndeath;j++) {
             ppij=0.;
             for(i=1; i<=nlstate;i++) {
               if (mobilav>=1)
                ppij=ppij+p3mat[i][j][h]*prev[(int)agec][i][k];
               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];
               }
               fprintf(ficresf," %.3f", p3mat[i][j][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 */
           
     fclose(ficresf);
     printf("End of Computing forecasting \n");
     fprintf(ficlog,"End of Computing forecasting\n");
   
   }
   
   /************** Back Forecasting ******************/
    /* 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){ */
    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){
     /* back1, year, month, day of starting backprojection
        agemin, agemax range of age
        dateprev1 dateprev2 range of dates during which prevalence is computed
        anback2 year of end of backprojection (same day and month as back1).
        prevacurrent and prev are prevalences.
     */
     int yearp, stepsize, hstepm, nhstepm, j, k, cptcod, i, h, i1, k4, nres=0;
     double agec; /* generic age */
     double agelim, ppij, ppi, yp,yp1,yp2; /* ,jintmean,mintmean,aintmean;*/
     double *popeffectif,*popcount;
     double ***p3mat;
     /* double ***mobaverage; */
     char fileresfb[FILENAMELENGTH];
    
     agelim=AGEINF;
     /* 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).
        We still use firstpass and lastpass as another selection.
     */
     /* freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint,strstart,\ */
     /*          firstpass, lastpass,  stepm,  weightopt, model); */
   
     /*Do we need to compute prevalence again?*/
   
     /* prevalence(probs, ageminpar, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass); */
     
     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);
     
     if (cptcoveff==0) ncodemax[cptcoveff]=1;
     
      
     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;   
     }
     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) jintmean=1; */
     
     /* i1=pow(2,cptcoveff); */
     /* if (cptcovn < 1){i1=1;} */
     
     fprintf(ficresfb,"# Mean day of interviews %.lf/%.lf/%.lf (%.2f) between %.2f and %.2f \n",jintmean,mintmean,aintmean,dateintmean,dateprev1,dateprev2);
     printf("# Mean day of interviews %.lf/%.lf/%.lf (%.2f) between %.2f and %.2f \n",jintmean,mintmean,aintmean,dateintmean,dateprev1,dateprev2);
     
     fprintf(ficresfb,"#****** Routine prevbackforecast **\n");
     
     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
       k=TKresult[nres];
       if(TKresult[nres]==0) k=1; /* To be checked for noresult */
     /* for(k=1; k<=i1;k++){ */
     /*   if(i1 != 1 && TKresult[nres]!= k) */
     /*     continue; */
     /*   if(invalidvarcomb[k]){ */
     /*     printf("\nCombination (%d) projection ignored because no cases \n",k);  */
     /*     continue; */
     /*   } */
       fprintf(ficresfb,"\n#****** hbijx=probability over h years, hb.jx is weighted by observed prev \n#");
       for(j=1;j<=cptcovs;j++){
       /* for(j=1;j<=cptcoveff;j++) { */
       /*   fprintf(ficresfb," V%d (=) %d",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,TnsdVar[Tvaraff[j]])]); */
       /* } */
         fprintf(ficresfb," V%d=%lg ",Tvresult[nres][j],TinvDoQresult[nres][Tvresult[nres][j]]);
       }
      /*  fprintf(ficrespij,"******\n"); */
      /* for (k4=1; k4<= nsq; k4++){ /\* For each selected (single) quantitative value *\/ */
      /*    fprintf(ficresfb," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]); */
      /*  } */
       fprintf(ficresfb," yearbproj age");
       for(j=1; j<=nlstate+ndeath;j++){
         for(i=1; i<=nlstate;i++)
           fprintf(ficresfb," b%d%d",i,j);
         fprintf(ficresfb," b.%d",j);
       }
       for (yearp=0; yearp>=(anbackf-anbackd);yearp -=stepsize) {
         /* for (yearp=0; yearp<=(anproj2-anproj1);yearp +=stepsize) {  */
         fprintf(ficresfb,"\n");
         fprintf(ficresfb,"\n# Back Forecasting at date %.lf/%.lf/%.lf ",jbackd,mbackd,anbackd+yearp);
         /* printf("\n# Back Forecasting at date %.lf/%.lf/%.lf ",jback1,mback1,anback1+yearp); */
         /* 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++) */
           for(j=1;j<=cptcovs;j++)
             fprintf(ficresfb,"%d %lg ",Tvresult[nres][j],TinvDoQresult[nres][Tvresult[nres][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];
          if(TKresult[nres]==0) k=1; /* To be checked for noresult */
        /* 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);
   
         for (agec=fage; agec>=(ageminpar-1); agec--){    }
           nhstepm=(int) rint((agelim-agec)*YEARM/stepm);   /* Variance of back prevalence: varbprlim */
           nhstepm = nhstepm/hstepm;    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){
           p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);        /*------- Variance of back (stable) prevalence------*/
           oldm=oldms;savm=savms;  
           hpxij(p3mat,nhstepm,agec,hstepm,p,nlstate,stepm,oldm,savm, k);       char fileresvbl[FILENAMELENGTH];  
              FILE  *ficresvbl;
           for (h=0; h<=nhstepm; h++){  
             if (h*hstepm/YEARM*stepm ==yearp) {     double **oldm, **savm;
               fprintf(ficresf,"\n");     double **varbpl; /* Variances of back prevalence limits by age */   
               for(j=1;j<=cptcoveff;j++)      int i1, k, nres, j ;
                 fprintf(ficresf,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);  
               fprintf(ficresf,"%.f %.f ",anproj1+yearp,agec+h*hstepm/YEARM*stepm);     strcpy(fileresvbl,"VBL_");
             }      strcat(fileresvbl,fileresu);
             for(j=1; j<=nlstate+ndeath;j++) {     if((ficresvbl=fopen(fileresvbl,"w"))==NULL) {
               ppij=0.;       printf("Problem with variance of back (stable) prevalence  resultfile: %s\n", fileresvbl);
               for(i=1; i<=nlstate;i++) {       exit(0);
                 if (mobilav==1)      }
                   ppij=ppij+p3mat[i][j][h]*mobaverage[(int)agec][i][cptcod];     printf("Computing Variance-covariance of back (stable) prevalence: file '%s' ...", fileresvbl);fflush(stdout);
                 else {     fprintf(ficlog, "Computing Variance-covariance of back (stable) prevalence: file '%s' ...", fileresvbl);fflush(ficlog);
                   ppij=ppij+p3mat[i][j][h]*probs[(int)(agec)][i][cptcod];     
                 }     
                 if (h*hstepm/YEARM*stepm== yearp) {     i1=pow(2,cptcoveff);
                   fprintf(ficresf," %.3f", p3mat[i][j][h]);     if (cptcovn < 1){i1=1;}
                 }     
               } /* end i */     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
               if (h*hstepm/YEARM*stepm==yearp) {       k=TKresult[nres];
                 fprintf(ficresf," %.3f", ppij);       if(TKresult[nres]==0) k=1; /* To be checked for noresult */
               }      /* for(k=1; k<=i1;k++){ */
             }/* end j */      /*    if(i1 != 1 && TKresult[nres]!= k) */
           } /* end h */      /*   continue; */
           free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);         fprintf(ficresvbl,"\n#****** ");
         } /* end agec */         printf("\n#****** ");
       } /* end yearp */         fprintf(ficlog,"\n#****** ");
     } /* end cptcod */         for (j=1; j<= cptcovs; j++){ /* For each selected (single) quantitative value */
   } /* end  cptcov */           printf(" V%d=%lg ",Tvresult[nres][j],TinvDoQresult[nres][resultmodel[nres][j]]);
            fprintf(ficresvbl," V%d=%lg ",Tvresult[nres][j],TinvDoQresult[nres][resultmodel[nres][j]]);
            fprintf(ficlog," V%d=%lg ",Tvresult[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");
                 
   if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);         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);
   
   fclose(ficresf);   } /* End of varbprlim */
 }  
   
 /************** Forecasting *****not tested NB*************/  /************** Forecasting *****not tested NB*************/
 populforecast(char fileres[], double anpyram,double mpyram,double jpyram,double ageminpar, double agemax,double dateprev1, double dateprev2, int mobilav, double agedeb, double fage, int popforecast, char popfile[], double anpyram1,double p[], int i2){  /* 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){ */
     
   int cpt, stepsize, hstepm, nhstepm, j,k,c, cptcod, i,h;  
   int *popage;  
   double calagedatem, agelim, kk1, kk2;  
   double *popeffectif,*popcount;  
   double ***p3mat,***tabpop,***tabpopprev;  
   double ***mobaverage;  
   char filerespop[FILENAMELENGTH];  
   
   tabpop= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);  
   tabpopprev= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);  
   agelim=AGESUP;  
   calagedatem=(anpyram+mpyram/12.+jpyram/365.-dateintmean)*YEARM;  
     
   prevalence(probs, ageminpar, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass);  
       
     /*   int cpt, stepsize, hstepm, nhstepm, j,k,c, cptcod, i,h; */
   strcpy(filerespop,"pop");   /*   int *popage; */
   strcat(filerespop,fileres);  /*   double calagedatem, agelim, kk1, kk2; */
   if((ficrespop=fopen(filerespop,"w"))==NULL) {  /*   double *popeffectif,*popcount; */
     printf("Problem with forecast resultfile: %s\n", filerespop);  /*   double ***p3mat,***tabpop,***tabpopprev; */
     fprintf(ficlog,"Problem with forecast resultfile: %s\n", filerespop);  /*   /\* double ***mobaverage; *\/ */
   }  /*   char filerespop[FILENAMELENGTH]; */
   printf("Computing forecasting: result on file '%s' \n", filerespop);  
   fprintf(ficlog,"Computing forecasting: result on file '%s' \n", filerespop);  /*   tabpop= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
   /*   tabpopprev= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
   /*   agelim=AGESUP; */
   /*   calagedatem=(anpyram+mpyram/12.+jpyram/365.-dateintmean)*YEARM; */
     
   /*   prevalence(probs, ageminpar, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass); */
     
     
   /*   strcpy(filerespop,"POP_");  */
   /*   strcat(filerespop,fileresu); */
   /*   if((ficrespop=fopen(filerespop,"w"))==NULL) { */
   /*     printf("Problem with forecast resultfile: %s\n", filerespop); */
   /*     fprintf(ficlog,"Problem with forecast resultfile: %s\n", filerespop); */
   /*   } */
   /*   printf("Computing forecasting: result on file '%s' \n", filerespop); */
   /*   fprintf(ficlog,"Computing forecasting: result on file '%s' \n", filerespop); */
   
   if (cptcoveff==0) ncodemax[cptcoveff]=1;  /*   if (cptcoveff==0) ncodemax[cptcoveff]=1; */
   
   if (mobilav!=0) {  /*   /\* if (mobilav!=0) { *\/ */
     mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);  /*   /\*   mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); *\/ */
     if (movingaverage(probs, ageminpar, fage, mobaverage,mobilav)!=0){  /*   /\*   if (movingaverage(probs, ageminpar, fage, mobaverage,mobilav)!=0){ *\/ */
       fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);  /*   /\*     fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav); *\/ */
       printf(" Error in movingaverage mobilav=%d\n",mobilav);  /*   /\*     printf(" Error in movingaverage mobilav=%d\n",mobilav); *\/ */
     }  /*   /\*   } *\/ */
   }  /*   /\* } *\/ */
   
   stepsize=(int) (stepm+YEARM-1)/YEARM;  /*   stepsize=(int) (stepm+YEARM-1)/YEARM; */
   if (stepm<=12) stepsize=1;  /*   if (stepm<=12) stepsize=1; */
     
   agelim=AGESUP;  
       
   hstepm=1;  /*   agelim=AGESUP; */
   hstepm=hstepm/stepm;   
       
   if (popforecast==1) {  /*   hstepm=1; */
     if((ficpop=fopen(popfile,"r"))==NULL) {  /*   hstepm=hstepm/stepm;  */
       printf("Problem with population file : %s\n",popfile);exit(0);          
       fprintf(ficlog,"Problem with population file : %s\n",popfile);exit(0);  /*   if (popforecast==1) { */
     }   /*     if((ficpop=fopen(popfile,"r"))==NULL) { */
     popage=ivector(0,AGESUP);  /*       printf("Problem with population file : %s\n",popfile);exit(0); */
     popeffectif=vector(0,AGESUP);  /*       fprintf(ficlog,"Problem with population file : %s\n",popfile);exit(0); */
     popcount=vector(0,AGESUP);  /*     }  */
   /*     popage=ivector(0,AGESUP); */
   /*     popeffectif=vector(0,AGESUP); */
   /*     popcount=vector(0,AGESUP); */
           
     i=1;     /*     i=1;    */
     while ((c=fscanf(ficpop,"%d %lf\n",&popage[i],&popcount[i])) != EOF) i=i+1;  /*     while ((c=fscanf(ficpop,"%d %lf\n",&popage[i],&popcount[i])) != EOF) i=i+1; */
          
     imx=i;  /*     imx=i; */
     for (i=1; i<imx;i++) popeffectif[popage[i]]=popcount[i];  /*     for (i=1; i<imx;i++) popeffectif[popage[i]]=popcount[i]; */
   }  /*   } */
     
   for(cptcov=1,k=0;cptcov<=i2;cptcov++){  /*   for(cptcov=1,k=0;cptcov<=i2;cptcov++){ */
    for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){  /*     for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){ */
       k=k+1;  /*       k=k+1; */
       fprintf(ficrespop,"\n#******");  /*       fprintf(ficrespop,"\n#******"); */
       for(j=1;j<=cptcoveff;j++) {  /*       for(j=1;j<=cptcoveff;j++) { */
         fprintf(ficrespop," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);  /*      fprintf(ficrespop," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]); */
       }  /*       } */
       fprintf(ficrespop,"******\n");  /*       fprintf(ficrespop,"******\n"); */
       fprintf(ficrespop,"# Age");  /*       fprintf(ficrespop,"# Age"); */
       for(j=1; j<=nlstate+ndeath;j++) fprintf(ficrespop," P.%d",j);  /*       for(j=1; j<=nlstate+ndeath;j++) fprintf(ficrespop," P.%d",j); */
       if (popforecast==1)  fprintf(ficrespop," [Population]");  /*       if (popforecast==1)  fprintf(ficrespop," [Population]"); */
               
       for (cpt=0; cpt<=0;cpt++) {   /*       for (cpt=0; cpt<=0;cpt++) {  */
         fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);     /*      fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);    */
                   
         for (agedeb=(fage-((int)calagedatem %12/12.)); agedeb>=(ageminpar-((int)calagedatem %12)/12.); agedeb--){   /*      for (agedeb=(fage-((int)calagedatem %12/12.)); agedeb>=(ageminpar-((int)calagedatem %12)/12.); agedeb--){  */
           nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm);   /*        nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm);  */
           nhstepm = nhstepm/hstepm;   /*        nhstepm = nhstepm/hstepm;  */
                       
           p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);  /*        p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); */
           oldm=oldms;savm=savms;  /*        oldm=oldms;savm=savms; */
           hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);    /*        hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);   */
           
           for (h=0; h<=nhstepm; h++){  
             if (h==(int) (calagedatem+YEARM*cpt)) {  
               fprintf(ficrespop,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm);  
             }   
             for(j=1; j<=nlstate+ndeath;j++) {  
               kk1=0.;kk2=0;  
               for(i=1; i<=nlstate;i++) {                
                 if (mobilav==1)   
                   kk1=kk1+p3mat[i][j][h]*mobaverage[(int)agedeb+1][i][cptcod];  
                 else {  
                   kk1=kk1+p3mat[i][j][h]*probs[(int)(agedeb+1)][i][cptcod];  
                 }  
               }  
               if (h==(int)(calagedatem+12*cpt)){  
                 tabpop[(int)(agedeb)][j][cptcod]=kk1;  
                   /*fprintf(ficrespop," %.3f", kk1);  
                     if (popforecast==1) fprintf(ficrespop," [%.f]", kk1*popeffectif[(int)agedeb+1]);*/  
               }  
             }  
             for(i=1; i<=nlstate;i++){  
               kk1=0.;  
                 for(j=1; j<=nlstate;j++){  
                   kk1= kk1+tabpop[(int)(agedeb)][j][cptcod];   
                 }  
                   tabpopprev[(int)(agedeb)][i][cptcod]=tabpop[(int)(agedeb)][i][cptcod]/kk1*popeffectif[(int)(agedeb+(calagedatem+12*cpt)*hstepm/YEARM*stepm-1)];  
             }  
   
             if (h==(int)(calagedatem+12*cpt)) for(j=1; j<=nlstate;j++)   
               fprintf(ficrespop," %15.2f",tabpopprev[(int)(agedeb+1)][j][cptcod]);  
           }  
           free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);  
         }  
       }  
    
   /******/  
   
       for (cpt=1; cpt<=(anpyram1-anpyram);cpt++) {   
         fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);     
         for (agedeb=(fage-((int)calagedatem %12/12.)); agedeb>=(ageminpar-((int)calagedatem %12)/12.); agedeb--){   
           nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm);   
           nhstepm = nhstepm/hstepm;   
                       
           p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);  /*        for (h=0; h<=nhstepm; h++){ */
           oldm=oldms;savm=savms;  /*          if (h==(int) (calagedatem+YEARM*cpt)) { */
           hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);    /*            fprintf(ficrespop,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm); */
           for (h=0; h<=nhstepm; h++){  /*          }  */
             if (h==(int) (calagedatem+YEARM*cpt)) {  /*          for(j=1; j<=nlstate+ndeath;j++) { */
               fprintf(ficresf,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm);  /*            kk1=0.;kk2=0; */
             }   /*            for(i=1; i<=nlstate;i++) {               */
             for(j=1; j<=nlstate+ndeath;j++) {  /*              if (mobilav==1)  */
               kk1=0.;kk2=0;  /*                kk1=kk1+p3mat[i][j][h]*mobaverage[(int)agedeb+1][i][cptcod]; */
               for(i=1; i<=nlstate;i++) {                /*              else { */
                 kk1=kk1+p3mat[i][j][h]*tabpopprev[(int)agedeb+1][i][cptcod];      /*                kk1=kk1+p3mat[i][j][h]*probs[(int)(agedeb+1)][i][cptcod]; */
               }  /*              } */
               if (h==(int)(calagedatem+12*cpt)) fprintf(ficresf," %15.2f", kk1);          /*            } */
             }  /*            if (h==(int)(calagedatem+12*cpt)){ */
           }  /*              tabpop[(int)(agedeb)][j][cptcod]=kk1; */
           free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);  /*              /\*fprintf(ficrespop," %.3f", kk1); */
         }  /*                if (popforecast==1) fprintf(ficrespop," [%.f]", kk1*popeffectif[(int)agedeb+1]);*\/ */
       }  /*            } */
    }   /*          } */
   }  /*          for(i=1; i<=nlstate;i++){ */
   /*            kk1=0.; */
   /*            for(j=1; j<=nlstate;j++){ */
   /*              kk1= kk1+tabpop[(int)(agedeb)][j][cptcod];  */
   /*            } */
   /*            tabpopprev[(int)(agedeb)][i][cptcod]=tabpop[(int)(agedeb)][i][cptcod]/kk1*popeffectif[(int)(agedeb+(calagedatem+12*cpt)*hstepm/YEARM*stepm-1)]; */
   /*          } */
               
   /*          if (h==(int)(calagedatem+12*cpt)) */
   /*            for(j=1; j<=nlstate;j++)  */
   /*              fprintf(ficrespop," %15.2f",tabpopprev[(int)(agedeb+1)][j][cptcod]); */
   /*        } */
   /*        free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); */
   /*      } */
   /*       } */
         
   /*       /\******\/ */
         
   /*       for (cpt=1; cpt<=(anpyram1-anpyram);cpt++) {  */
   /*      fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);    */
   /*      for (agedeb=(fage-((int)calagedatem %12/12.)); agedeb>=(ageminpar-((int)calagedatem %12)/12.); agedeb--){  */
   /*        nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm);  */
   /*        nhstepm = nhstepm/hstepm;  */
             
   /*        p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); */
   /*        oldm=oldms;savm=savms; */
   /*        hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);   */
   /*        for (h=0; h<=nhstepm; h++){ */
   /*          if (h==(int) (calagedatem+YEARM*cpt)) { */
   /*            fprintf(ficresf,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm); */
   /*          }  */
   /*          for(j=1; j<=nlstate+ndeath;j++) { */
   /*            kk1=0.;kk2=0; */
   /*            for(i=1; i<=nlstate;i++) {               */
   /*              kk1=kk1+p3mat[i][j][h]*tabpopprev[(int)agedeb+1][i][cptcod];     */
   /*            } */
   /*            if (h==(int)(calagedatem+12*cpt)) fprintf(ficresf," %15.2f", kk1);         */
   /*          } */
   /*        } */
   /*        free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); */
   /*      } */
   /*       } */
   /*     }  */
   /*   } */
     
   /*   /\* if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); *\/ */
     
   /*   if (popforecast==1) { */
   /*     free_ivector(popage,0,AGESUP); */
   /*     free_vector(popeffectif,0,AGESUP); */
   /*     free_vector(popcount,0,AGESUP); */
   /*   } */
   /*   free_ma3x(tabpop,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
   /*   free_ma3x(tabpopprev,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
   /*   fclose(ficrespop); */
   /* } /\* End of popforecast *\/ */
     
   if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);  
   
   if (popforecast==1) {  
     free_ivector(popage,0,AGESUP);  
     free_vector(popeffectif,0,AGESUP);  
     free_vector(popcount,0,AGESUP);  
   }  
   free_ma3x(tabpop,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);  
   free_ma3x(tabpopprev,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);  
   fclose(ficrespop);  
 } /* End of popforecast */  
   
 int fileappend(FILE *fichier, char *optionfich)  int fileappend(FILE *fichier, char *optionfich)
 {  {
   if((fichier=fopen(optionfich,"a"))==NULL) {    if((fichier=fopen(optionfich,"a"))==NULL) {
Line 4494  void prwizard(int ncovmodel, int nlstate Line 10548  void prwizard(int ncovmodel, int nlstate
   
   /* Wizard to print covariance matrix template */    /* Wizard to print covariance matrix template */
   
   char ca[32], cb[32], cc[32];    char ca[32], cb[32];
   int i,j, k, l, li, lj, lk, ll, jj, npar, itimes;    int i,j, k, li, lj, lk, ll, jj, npar, itimes;
   int numlinepar;    int numlinepar;
   
   printf("# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");    printf("# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
Line 4613  void prwizard(int ncovmodel, int nlstate Line 10667  void prwizard(int ncovmodel, int nlstate
 /******************* Gompertz Likelihood ******************************/  /******************* Gompertz Likelihood ******************************/
 double gompertz(double x[])  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 */    int i,n=0; /* n is the size of the sample */
   
   for (i=0;i<=imx-1 ; i++) {    for (i=1;i<=imx ; i++) {
     sump=sump+weight[i];      sump=sump+weight[i];
     /*    sump=sump+1;*/      /*    sump=sump+1;*/
     num=num+1;      num=num+1;
   }    }
      L=0.0;
      /* agegomp=AGEGOMP; */
   /* for (i=0; i<=imx; i++)     /* 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]);*/       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)))          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 && 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("\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;    return -2*L*num/sump;
 }  }
Line 4651  double gompertz(double x[]) Line 10711  double gompertz(double x[])
 /******************* Gompertz_f Likelihood ******************************/  /******************* Gompertz_f Likelihood ******************************/
 double gompertz_f(const gsl_vector *v, void *params)  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;    double *x= (double *) v->data;
   int i,n=0; /* n is the size of the sample */    int i,n=0; /* n is the size of the sample */
   
Line 4689  double gompertz_f(const gsl_vector *v, v Line 10749  double gompertz_f(const gsl_vector *v, v
 #endif  #endif
   
 /******************* Printing html file ***********/  /******************* Printing html file ***********/
 void printinghtmlmort(char fileres[], char title[], char datafile[], int firstpass, \  void printinghtmlmort(char fileresu[], char title[], char datafile[], int firstpass, \
                   int lastpass, int stepm, int weightopt, char model[],\                    int lastpass, int stepm, int weightopt, char model[],\
                   int imx,  double p[],double **matcov,double agemortsup){                    int imx,  double p[],double **matcov,double agemortsup){
   int i,k;    int i,k;
Line 4698  void printinghtmlmort(char fileres[], ch Line 10758  void printinghtmlmort(char fileres[], ch
   fprintf(fichtm,"  mu(age) =%lf*exp(%lf*(age-%d)) per year<br><br>",p[1],p[2],agegomp);    fprintf(fichtm,"  mu(age) =%lf*exp(%lf*(age-%d)) per year<br><br>",p[1],p[2],agegomp);
   for (i=1;i<=2;i++)     for (i=1;i<=2;i++) 
     fprintf(fichtm," p[%d] = %lf [%f ; %f]<br>\n",i,p[i],p[i]-2*sqrt(matcov[i][i]),p[i]+2*sqrt(matcov[i][i]));      fprintf(fichtm," p[%d] = %lf [%f ; %f]<br>\n",i,p[i],p[i]-2*sqrt(matcov[i][i]),p[i]+2*sqrt(matcov[i][i]));
   fprintf(fichtm,"<br><br><img src=\"graphmort.png\">");    fprintf(fichtm,"<br><br><img src=\"graphmort.svg\">");
   fprintf(fichtm,"</ul>");    fprintf(fichtm,"</ul>");
   
 fprintf(fichtm,"<ul><li><h4>Life table</h4>\n <br>");  fprintf(fichtm,"<ul><li><h4>Life table</h4>\n <br>");
Line 4713  fprintf(fichtm,"<ul><li><h4>Life table</ Line 10773  fprintf(fichtm,"<ul><li><h4>Life table</
 }  }
   
 /******************* Gnuplot file **************/  /******************* Gnuplot file **************/
 void printinggnuplotmort(char fileres[], char optionfilefiname[], double ageminpar, double agemaxpar, double fage , char pathc[], double p[]){  void printinggnuplotmort(char fileresu[], char optionfilefiname[], double ageminpar, double agemaxpar, double fage , char pathc[], double p[]){
   
   char dirfileres[132],optfileres[132];    char dirfileres[132],optfileres[132];
   int m,cpt,k1,i,k,j,jk,k2,k3,ij,l;  
   int ng;    int ng;
   
   
Line 4727  void printinggnuplotmort(char fileres[], Line 10787  void printinggnuplotmort(char fileres[],
   
   strcpy(dirfileres,optionfilefiname);    strcpy(dirfileres,optionfilefiname);
   strcpy(optfileres,"vpl");    strcpy(optfileres,"vpl");
   fprintf(ficgp,"set out \"graphmort.png\"\n ");     fprintf(ficgp,"set out \"graphmort.svg\"\n "); 
   fprintf(ficgp,"set xlabel \"Age\"\n set ylabel \"Force of mortality (per year)\" \n ");     fprintf(ficgp,"set xlabel \"Age\"\n set ylabel \"Force of mortality (per year)\" \n "); 
   fprintf(ficgp, "set ter png small size 320, 240\n set log y\n");     fprintf(ficgp, "set ter svg size 640, 480\n set log y\n"); 
   /* fprintf(ficgp, "set size 0.65,0.65\n"); */    /* fprintf(ficgp, "set size 0.65,0.65\n"); */
   fprintf(ficgp,"plot [%d:100] %lf*exp(%lf*(x-%d))",agegomp,p[1],p[2],agegomp);    fprintf(ficgp,"plot [%d:100] %lf*exp(%lf*(x-%d))",agegomp,p[1],p[2],agegomp);
   
Line 4741  int readdata(char datafile[], int firsto Line 10801  int readdata(char datafile[], int firsto
   /*-------- data file ----------*/    /*-------- data file ----------*/
   FILE *fic;    FILE *fic;
   char dummy[]="                         ";    char dummy[]="                         ";
   int i, j, n;    int i=0, j=0, n=0, iv=0, v;
     int lstra;
   int linei, month, year,iout;    int linei, month, year,iout;
     int noffset=0; /* This is the offset if BOM data file */
   char line[MAXLINE], linetmp[MAXLINE];    char line[MAXLINE], linetmp[MAXLINE];
   char stra[80], strb[80];    char stra[MAXLINE], strb[MAXLINE];
   char *stratrunc;    char *stratrunc;
   int lstra;  
   
   
     /* DummyV=ivector(-1,NCOVMAX); /\* 1 to 3 *\/ */
     /* FixedV=ivector(-1,NCOVMAX); /\* 1 to 3 *\/ */
     
     ncovcolt=ncovcol+nqv+ntv+nqtv; /* total of covariates in the data, not in the model equation */
     
   if((fic=fopen(datafile,"r"))==NULL)    {    if((fic=fopen(datafile,"r"))==NULL)    {
     printf("Problem while opening datafile: %s\n", datafile);return 1;      printf("Problem while opening datafile: %s with errno='%s'\n", datafile,strerror(errno));fflush(stdout);
     fprintf(ficlog,"Problem while opening datafile: %s\n", datafile);return 1;      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;    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))) {    while ((fgets(line, MAXLINE, fic) != NULL) &&((i >= firstobs) && (i <=lastobs))) {
     linei=linei+1;      linei=linei+1;
     for(j=strlen(line); j>=0;j--){  /* Untabifies line */      for(j=strlen(line); j>=0;j--){  /* Untabifies line */
Line 4772  int readdata(char datafile[], int firsto Line 10882  int readdata(char datafile[], int firsto
       continue;        continue;
     }      }
     trimbb(linetmp,line); /* Trims multiple blanks in line */      trimbb(linetmp,line); /* Trims multiple blanks in line */
     for (j=0; line[j]!='\0';j++){      strcpy(line, linetmp);
       line[j]=linetmp[j];      
     }      /* Loops on waves */
     
   
     for (j=maxwav;j>=1;j--){      for (j=maxwav;j>=1;j--){
         for (iv=nqtv;iv>=1;iv--){  /* Loop  on time varying quantitative variables */
           cutv(stra, strb, line, ' '); 
           if(strb[0]=='.') { /* Missing value */
             lval=-1;
             cotqvar[j][iv][i]=-1; /* 0.0/0.0 */
             cotvar[j][ncovcol+nqv+ntv+iv][i]=-1; /* For performance reasons */
             if(isalpha(strb[1])) { /* .m or .d Really Missing value */
               printf("Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be the %d th quantitative value out of %d measured at wave %d. If missing, you should remove this individual or impute a value.  Exiting.\n", strb, linei,i,line,iv, nqtv, j);
               fprintf(ficlog,"Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be the %d th quantitative value out of %d measured at wave %d. If missing, you should remove this individual or impute a value.  Exiting.\n", strb, linei,i,line,iv, nqtv, j);fflush(ficlog);
               return 1;
             }
           }else{
             errno=0;
             /* what_kind_of_number(strb); */
             dval=strtod(strb,&endptr); 
             /* if( strb[0]=='\0' || (*endptr != '\0')){ */
             /* if(strb != endptr && *endptr == '\0') */
             /*    dval=dlval; */
             /* if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN)) */
             if( strb[0]=='\0' || (*endptr != '\0')){
               printf("Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be the %d th quantitative value out of %d measured at wave %d. Setting maxwav=%d might be wrong.  Exiting.\n", strb, linei,i,line,iv, nqtv, j,maxwav);
               fprintf(ficlog,"Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be the %d th quantitative value out of %d measured at wave %d. Setting maxwav=%d might be wrong.  Exiting.\n", strb, linei,i,line, iv, nqtv, j,maxwav);fflush(ficlog);
               return 1;
             }
             cotqvar[j][iv][i]=dval; 
             cotvar[j][ncovcol+nqv+ntv+iv][i]=dval; /* because cotvar starts now at first ntv */ 
           }
           strcpy(line,stra);
         }/* end loop ntqv */
         
         for (iv=ntv;iv>=1;iv--){  /* Loop  on time varying dummies */
           cutv(stra, strb, line, ' '); 
           if(strb[0]=='.') { /* Missing value */
             lval=-1;
           }else{
             errno=0;
             lval=strtol(strb,&endptr,10); 
             /*    if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN))*/
             if( strb[0]=='\0' || (*endptr != '\0')){
               printf("Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be the %d th dummy covariate out of %d measured at wave %d. Setting maxwav=%d might be wrong.  Exiting.\n", strb, linei,i,line,iv, ntv, j,maxwav);
               fprintf(ficlog,"Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be the %d dummy covariate out of %d measured wave %d. Setting maxwav=%d might be wrong.  Exiting.\n", strb, linei,i,line,iv, ntv,j,maxwav);fflush(ficlog);
               return 1;
             }
           }
           if(lval <-1 || lval >1){
             printf("Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
    Should be a value of %d(nth) covariate 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,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 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,iv,j);fflush(ficlog);
             return 1;
           }
           cotvar[j][ncovcol+nqv+iv][i]=(double)(lval);
           strcpy(line,stra);
         }/* end loop ntv */
         
         /* Statuses  at wave */
       cutv(stra, strb, line, ' ');         cutv(stra, strb, line, ' '); 
       if(strb[0]=='.') { /* Missing status */        if(strb[0]=='.') { /* Missing value */
         lval=-1;          lval=-1;
       }else{        }else{
         errno=0;          errno=0;
         lval=strtol(strb,&endptr,10);           lval=strtol(strb,&endptr,10); 
       /*        if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN))*/          /*      if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN))*/
         if( strb[0]=='\0' || (*endptr != '\0')){          if( strb[0]=='\0' || (*endptr != '\0' )){
           printf("Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be a status of wave %d. Setting maxwav=%d might be wrong.  Exiting.\n", strb, linei,i,line,j,maxwav);            printf("Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be a status of wave %d. Setting maxwav=%d might be wrong. Exiting.\n", strb, linei,i,line,j,maxwav);
           fprintf(ficlog,"Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be a status of wave %d. Setting maxwav=%d might be wrong.  Exiting.\n", strb, linei,i,line,j,maxwav);fflush(ficlog);            fprintf(ficlog,"Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be a status of wave %d. Setting maxwav=%d might be wrong. Exiting.\n", strb, linei,i,line,j,maxwav);fflush(ficlog);
             return 1;
           }else if( lval==0 || lval > nlstate+ndeath){
             printf("Error in data around '%s' at line number %d for individual %d, '%s'\n Should be a state at wave %d. A state should be 1 to %d and not %ld.\n Fix your data file '%s'!  Exiting.\n", strb, linei,i,line,j,nlstate+ndeath, lval, datafile);fflush(stdout);
             fprintf(ficlog,"Error in data around '%s' at line number %d for individual %d, '%s'\n Should be a state at wave %d. A state should be 1 to %d and not %ld.\n Fix your data file '%s'!  Exiting.\n", strb, linei,i,line,j,nlstate+ndeath, lval, datafile); fflush(ficlog);
           return 1;            return 1;
         }          }
       }        }
         
       s[j][i]=lval;        s[j][i]=lval;
               
         /* Date of Interview */
       strcpy(line,stra);        strcpy(line,stra);
       cutv(stra, strb,line,' ');        cutv(stra, strb,line,' ');
       if(iout=sscanf(strb,"%d/%d",&month, &year) != 0){        if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
       }        }
       else  if(iout=sscanf(strb,"%s.",dummy) != 0){        else  if( (iout=sscanf(strb,"%s.",dummy)) != 0){
         month=99;          month=99;
         year=9999;          year=9999;
       }else{        }else{
Line 4806  int readdata(char datafile[], int firsto Line 10990  int readdata(char datafile[], int firsto
         return 1;          return 1;
       }        }
       anint[j][i]= (double) year;         anint[j][i]= (double) year; 
       mint[j][i]= (double)month;         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);        strcpy(line,stra);
     } /* ENd Waves */      } /* End loop on waves */
           
       /* Date of death */
     cutv(stra, strb,line,' ');       cutv(stra, strb,line,' '); 
     if(iout=sscanf(strb,"%d/%d",&month, &year) != 0){      if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
     }      }
     else  if(iout=sscanf(strb,"%s.",dummy) != 0){      else  if( (iout=sscanf(strb,"%s.",dummy)) != 0){
       month=99;        month=99;
       year=9999;        year=9999;
     }else{      }else{
       printf("Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be a date of death (mm/yyyy or .).  Exiting.\n",strb, linei,i,line);        printf("Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be a date of death (mm/yyyy or .).  Exiting.\n",strb, linei,i,line);
         fprintf(ficlog,"Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be a date of death (mm/yyyy or .).  Exiting.\n",strb, linei,i,line);fflush(ficlog);        fprintf(ficlog,"Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be a date of death (mm/yyyy or .).  Exiting.\n",strb, linei,i,line);fflush(ficlog);
         return 1;        return 1;
     }      }
     andc[i]=(double) year;       andc[i]=(double) year; 
     moisdc[i]=(double) month;       moisdc[i]=(double) month; 
     strcpy(line,stra);      strcpy(line,stra);
           
       /* Date of birth */
     cutv(stra, strb,line,' ');       cutv(stra, strb,line,' '); 
     if(iout=sscanf(strb,"%d/%d",&month, &year) != 0){      if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
     }      }
     else  if(iout=sscanf(strb,"%s.", dummy) != 0){      else  if( (iout=sscanf(strb,"%s.", dummy)) != 0){
       month=99;        month=99;
       year=9999;        year=9999;
     }else{      }else{
       printf("Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be a date of birth (mm/yyyy or .).  Exiting.\n",strb, linei,i,line);        printf("Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be a date of birth (mm/yyyy or .).  Exiting.\n",strb, linei,i,line);
       fprintf(ficlog,"Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be a date of birth (mm/yyyy or .).  Exiting.\n",strb, linei,i,line);fflush(ficlog);        fprintf(ficlog,"Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be a date of birth (mm/yyyy or .).  Exiting.\n",strb, linei,i,line);fflush(ficlog);
         return 1;        return 1;
     }      }
     if (year==9999) {      if (year==9999) {
       printf("Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be a date of birth (mm/yyyy) but at least the year of birth should be given.  Exiting.\n",strb, linei,i,line);        printf("Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be a date of birth (mm/yyyy) but at least the year of birth should be given.  Exiting.\n",strb, linei,i,line);
       fprintf(ficlog,"Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be a date of birth (mm/yyyy) but at least the year of birth should be given. Exiting.\n",strb, linei,i,line);fflush(ficlog);        fprintf(ficlog,"Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be a date of birth (mm/yyyy) but at least the year of birth should be given. Exiting.\n",strb, linei,i,line);fflush(ficlog);
         return 1;        return 1;
         
     }      }
     annais[i]=(double)(year);      annais[i]=(double)(year);
     moisnais[i]=(double)(month);       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);      strcpy(line,stra);
           
       /* Sample weight */
     cutv(stra, strb,line,' ');       cutv(stra, strb,line,' '); 
     errno=0;      errno=0;
     dval=strtod(strb,&endptr);       dval=strtod(strb,&endptr); 
Line 4858  int readdata(char datafile[], int firsto Line 11056  int readdata(char datafile[], int firsto
     weight[i]=dval;       weight[i]=dval; 
     strcpy(line,stra);      strcpy(line,stra);
           
       for (iv=nqv;iv>=1;iv--){  /* Loop  on fixed quantitative variables */
         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); */
           dval=strtod(strb,&endptr);
           /* if(strb != endptr && *endptr == '\0') */
           /*   dval=dlval; */
           /* if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN)) */
           if( strb[0]=='\0' || (*endptr != '\0')){
             printf("Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be the %d th quantitative value (out of %d) constant for all waves. Setting maxwav=%d might be wrong.  Exiting.\n", strb, linei,i,line, iv, nqv, maxwav);
             fprintf(ficlog,"Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be the %d th quantitative value (out of %d) constant for all waves. Setting maxwav=%d might be wrong.  Exiting.\n", strb, linei,i,line, iv, nqv, maxwav);fflush(ficlog);
             return 1;
           }
           coqvar[iv][i]=dval; 
           covar[ncovcol+iv][i]=dval; /* including qvar in standard covar for performance reasons */ 
         }
         strcpy(line,stra);
       }/* end loop nqv */
       
       /* Covariate values */
     for (j=ncovcol;j>=1;j--){      for (j=ncovcol;j>=1;j--){
       cutv(stra, strb,line,' ');         cutv(stra, strb,line,' '); 
       if(strb[0]=='.') { /* Missing status */        if(strb[0]=='.') { /* Missing covariate value */
         lval=-1;          lval=-1;
       }else{        }else{
         errno=0;          errno=0;
Line 4875  int readdata(char datafile[], int firsto Line 11098  int readdata(char datafile[], int firsto
         printf("Error reading data around '%ld' at line number %d for individual %d, '%s'\n \          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 (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 the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
  For example, for multinomial values like 1, 2 and 3,\n \   For example, for multinomial values like 1, 2 and 3,\n                 \
  build V1=0 V2=0 for the reference value (1),\n \   build V1=0 V2=0 for the reference value (1),\n                         \
         V1=1 V2=0 for (2) \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 \   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 \   output of IMaCh is often meaningless.\n                                \
  Exiting.\n",lval,linei, i,line,j);   Exiting.\n",lval,linei, i,line,j);
         fprintf(ficlog,"Error reading data around '%ld' at line number %d for individual %d, '%s'\n \          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 (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 the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
  For example, for multinomial values like 1, 2 and 3,\n \   For example, for multinomial values like 1, 2 and 3,\n                 \
  build V1=0 V2=0 for the reference value (1),\n \   build V1=0 V2=0 for the reference value (1),\n                         \
         V1=1 V2=0 for (2) \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 \   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 \   output of IMaCh is often meaningless.\n                                \
  Exiting.\n",lval,linei, i,line,j);fflush(ficlog);   Exiting.\n",lval,linei, i,line,j);fflush(ficlog);
         return 1;          return 1;
       }        }
Line 4896  int readdata(char datafile[], int firsto Line 11119  int readdata(char datafile[], int firsto
       strcpy(line,stra);        strcpy(line,stra);
     }        }  
     lstra=strlen(stra);      lstra=strlen(stra);
            
     if(lstra > 9){ /* More than 2**32 or max of what printf can write with %ld */      if(lstra > 9){ /* More than 2**32 or max of what printf can write with %ld */
       stratrunc = &(stra[lstra-9]);        stratrunc = &(stra[lstra-9]);
       num[i]=atol(stratrunc);        num[i]=atol(stratrunc);
Line 4908  int readdata(char datafile[], int firsto Line 11131  int readdata(char datafile[], int firsto
           
     i=i+1;      i=i+1;
   } /* End loop reading  data */    } /* End loop reading  data */
     
   *imax=i-1; /* Number of individuals */    *imax=i-1; /* Number of individuals */
   fclose(fic);    fclose(fic);
      
   return (0);    return (0);
   endread:    /* endread: */
     printf("Exiting readdata: ");    printf("Exiting readdata: ");
     fclose(fic);    fclose(fic);
     return (1);    return (1);
   }
   
   void removefirstspace(char **stri){/*, char stro[]) {*/
     char *p1 = *stri, *p2 = *stri;
     while (*p2 == ' ')
       p2++; 
     /* while ((*p1++ = *p2++) !=0) */
     /*   ; */
     /* do */
     /*   while (*p2 == ' ') */
     /*     p2++; */
     /* while (*p1++ == *p2++); */
     *stri=p2; 
   }
   
   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 modelresult[MAXLINE]; */
     char stra[80], strb[80], strc[80], strd[80],stre[80];
   
     removefirstspace(&resultline);
     printf("decoderesult:%s\n",resultline);
   
     strcpy(resultsav,resultline);
     /* printf("Decoderesult resultsav=\"%s\" resultline=\"%s\"\n", resultsav, resultline); */
     if (strlen(resultsav) >1){
       j=nbocc(resultsav,'='); /**< j=Number of covariate values'=' in this resultline */
     }
     if(j == 0 && cptcovs== 0){ /* Resultline but no =  and no covariate in the model */
       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 */
       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, 1+age+%s.\n",j, cptcovs, model);fflush(ficlog);
       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, 1+age+%s.\n",j, cptcovs, model);fflush(stdout);
       if(j==0)
         return 1;
     }
     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 ' ' (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" */
         /* 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" */
         /* 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 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);  /* 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 */
     /* 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=1+age+%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=1+age+%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=1+age+%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=1+age+%s (Tvarsel[k2=%d]=%d)\n",Tvar[k1], resultline, model, k2, Tvarsel[k2]);
         return 1;
         }
       }else if(Typevar[k1]==2 || Typevar[k1]==3){ /* Product with or without 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 or double product with age): V%d is missing in result: %s according to model=1+age+%s\n",Tvardk[k1][1], resultline, model);
           fprintf(ficlog,"Error in result line (Product without age first variable or double product with age): V%d is missing in result: %s according to model=1+age+%s\n",Tvardk[k1][1], resultline, model);
           return 1;
         }
         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(Tvardk[k1][2]==Tvarsel[k2]) {/* Tvardk is coming from the model, Tvarsel from the result. Tvar[1]=5 == Tvarsel[2]=5   */
             /* modelresult[k2]=k1;*/
             /* 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 (Product without age second variable or double product with age): V%d is missing in result: %s according to model=1+age+%s\n",Tvardk[k1][2], resultline, model);
           fprintf(ficlog,"Error in result line (Product without age second variable or double product with age): V%d is missing in result : %s according to model=1+age+%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 */
     /* 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++){ /* loop on model: model line V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
         if(Typevar[k1]==0){ /* Single only */
           if(Tvar[k1]==Tvarsel[k2]) { /* Tvar[2]=4 == Tvarsel[1]=4  What if a product?  */
             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: variable V%d is missing in model; result: %s, model=1+age+%s\n",Tvarsel[k2], resultline, model);
         fprintf(ficlog,"Error in result line: variable V%d is missing in model; result: %s, model=1+age+%s\n",Tvarsel[k2], resultline, model);
         return 1;
       }else if(match > 1){
         printf("Error in result line: %d doubled; result: %s, model=1+age+%s\n",k2, resultline, model);
         fprintf(ficlog,"Error in result line: %d doubled; result: %s, model=1+age+%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 */
     /* nres=1st result line: V4=1 V5=25.1 V3=0  V2=8 V1=1 */
     /* 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*/
     /* 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 (nres=2)*/
     /*    5 0 0 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++){ /* cptcovt number of covariates (excluding 1 and age or age*age) in the MODEL equation.
                                                      * loop on position k1 in the MODEL LINE */
       /* k counting number of combination of single dummies in the equation model */
       /* k4 counting single dummies in the equation model */
       /* k4q counting single quantitatives in the equation model */
       if( Dummy[k1]==0 && Typevar[k1]==0 ){ /* Dummy and Single, fixed or timevarying, k1 is sorting according to MODEL, but k3 to resultline */
          /* 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 */
         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 ){ /* Quantitative and single */
         /* Tqresult[nres][result_position]= value of the 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                                 */
         /* Tqinvresult[nres][Name of a quantitative variable]= value of the variable in the result line                                                      */
         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 */
         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 "V2+V3+V4+V6+V7+V6*V2+V7*V2+V6*V3+V7*V3+V6*V4+V7*V4+age*V2+age*V3+age*V4+age*V6+age*V7+age*V6*V2+age*V6*V3+age*V7*V3+age*V6*V4+age*V7*V4\r"*/
         /* Tvar[k1]; */ /* Age variable */ /* 17 age*V6*V2 ?*/
         /* Wrong we want the value of variable name Tvar[k1] */
         if(Typevar[k1]==2 || Typevar[k1]==3 ){ /* For product quant or dummy (with or without 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{
           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 */
         if(Typevar[k1]==2 || Typevar[k1]==3 ){ /* For product quant or dummy (with or without 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{
           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 || Typevar[k1]==3 ){ /* For product quant or dummy (with or without 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; /* Number of combinations of dummies for the nresult and the model =Tvalsel[k3]*pow(2,k4) + 1*/
     return (0);
 }  }
 void removespace(char *str) {  
   char *p1 = str, *p2 = str;  
   do  
     while (*p2 == ' ')  
       p2++;  
   while (*p1++ = *p2++);  
 }  
   
 int decodemodel ( char model[], int lastobs) /**< This routine decode the model and returns:  
    * Model  V1+V2+V3+V8+V7*V8+V5*V6+V8*age+V3*age  
    * - cptcovt total number of covariates of the model nbocc(+)+1 = 8  
    * - cptcovn or number of covariates k of the models excluding age*products =6  
    * - cptcovage number of covariates with age*products =2  
    * - cptcovs number of simple covariates  
    * - Tvar[k] is the id of the kth covariate Tvar[1]@12 {1, 2, 3, 8, 10, 11, 8, 3, 7, 8, 5, 6}, thus Tvar[5=V7*V8]=10  
    *     which is a new column after the 9 (ncovcol) variables.   
    * - if k is a product Vn*Vm covar[k][i] is filled with correct values for each individual  
    * - Tprod[l] gives the kth covariates of the product Vn*Vm l=1 to cptcovprod-cptcovage  
    *    Tprod[1]@2 {5, 6}: position of first product V7*V8 is 5, and second V5*V6 is 6.  
    * - Tvard[k]  p Tvard[1][1]@4 {7, 8, 5, 6} for V7*V8 and V5*V6 .  
  */  
 {  
   int i, j, k, ks;  
   int i1, j1, k1, k2;  
   char modelsav[80];  
   char stra[80], strb[80], strc[80], strd[80],stre[80];  
   
   int decodemodel( char model[], int lastobs)
    /**< This routine decodes the model and returns:
           * Model  V1+V2+V3+V8+V7*V8+V5*V6+V8*age+V3*age+age*age
           * - nagesqr = 1 if age*age in the model, otherwise 0.
           * - cptcovt total number of covariates of the model nbocc(+)+1 = 8 excepting constant and age and age*age
           * - cptcovn or number of covariates k of the models excluding age*products =6 and age*age
           * - cptcovage number of covariates with age*products =2
           * - cptcovs number of simple covariates
           * ncovcolt=ncovcol+nqv+ntv+nqtv total of covariates in the data, not in the model equation
           * - 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+nqv+ntv+nqtv) variables. 
           * - if k is a product Vn*Vm, covar[k][i] is filled with correct values for each individual
           * - Tprod[l] gives the kth covariates of the product Vn*Vm l=1 to cptcovprod-cptcovage
           *    Tprod[1]@2 {5, 6}: position of first product V7*V8 is 5, and second V5*V6 is 6.
           * - Tvard[k]  p Tvard[1][1]@4 {7, 8, 5, 6} for V7*V8 and V5*V6 .
           */
   /* 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 n,m;
     int  j1, k1, k11, k12, k2, k3, k4;
     char modelsav[300];
     char stra[300], strb[300], strc[300], strd[300],stre[300],strf[300];
     char *strpt;
     int  **existcomb;
     
     existcomb=imatrix(1,NCOVMAX,1,NCOVMAX);
     for(i=1;i<=NCOVMAX;i++)
       for(j=1;j<=NCOVMAX;j++)
         existcomb[i][j]=0;
       
   /*removespace(model);*/    /*removespace(model);*/
   if (strlen(model) >1){ /* If there is at least 1 covariate */    if (strlen(model) >1){ /* If there is at least 1 covariate */
     j=0, j1=0, k1=0, k2=-1, ks=0, cptcovn=0;      j=0, j1=0, k1=0, k12=0, k2=-1, ks=0, cptcovn=0;
     j=nbocc(model,'+'); /**< j=Number of '+' */  
     j1=nbocc(model,'*'); /**< j1=Number of '*' */  
     cptcovs=j+1-j1; /**<  Number of simple covariates V1+V2*age+V3 +V3*V4=> V1 + V3 =2  */  
     cptcovt= j+1; /* Number of total covariates in the model V1 + V2*age+ V3 + V3*V4=> 4*/  
                   /* including age products which are counted in cptcovage.  
                   /* but the covariates which are products must be treated separately: ncovn=4- 2=2 (V1+V3). */  
     cptcovprod=j1; /**< Number of products  V1*V2 +v3*age = 2 */  
     cptcovprodnoage=0; /**< Number of covariate products without age: V3*V4 =1  */  
     strcpy(modelsav,model);   
     if (strstr(model,"AGE") !=0){      if (strstr(model,"AGE") !=0){
       printf("Error. AGE must be in lower case 'age' model=%s ",model);        printf("Error. AGE must be in lower case 'age' model=1+age+%s. ",model);
       fprintf(ficlog,"Error. AGE must be in lower case model=%s ",model);fflush(ficlog);        fprintf(ficlog,"Error. AGE must be in lower case model=1+age+%s. ",model);fflush(ficlog);
       return 1;        return 1;
     }      }
     if (strstr(model,"v") !=0){      if (strstr(model,"v") !=0){
       printf("Error. 'v' must be in upper case 'V' model=%s ",model);        printf("Error. 'v' must be in upper case 'V' model=1+age+%s ",model);
       fprintf(ficlog,"Error. 'v' must be in upper case model=%s ",model);fflush(ficlog);        fprintf(ficlog,"Error. 'v' must be in upper case model=1+age+%s ",model);fflush(ficlog);
       return 1;        return 1;
     }      }
           strcpy(modelsav,model); 
     /*   Design      if ((strpt=strstr(model,"age*age")) !=0){
      *  V1   V2   V3   V4  V5  V6  V7  V8  V9 Weight        printf(" strpt=%s, model=1+age+%s\n",strpt, model);
      *  <          ncovcol=8                >        if(strpt != model){
      * Model V2 + V1 + V3*age + V3 + V5*V6 + V7*V8 + V8*age + V8          printf("Error in model: 'model=1+age+%s'; 'age*age' should in first place before other covariates\n \
      *   k=  1    2      3       4     5       6      7        8   'model=1+age+age*age+V1.' or 'model=1+age+age*age+V1+V1*age.', please swap as well as \n \
      *  cptcovn number of covariates (not including constant and age ) = # of + plus 1 = 7+1=8   corresponding column of parameters.\n",model);
      *  covar[k,i], value of kth covariate if not including age for individual i:          fprintf(ficlog,"Error in model: 'model=1+age+%s'; 'age*age' should in first place before other covariates\n \
      *       covar[1][i]= (V2), covar[4][i]=(V3), covar[8][i]=(V8)   'model=1+age+age*age+V1.' or 'model=1+age+age*age+V1+V1*age.', please swap as well as \n \
      *  Tvar[k] # of the kth covariate:  Tvar[1]=2  Tvar[4]=3 Tvar[8]=8   corresponding column of parameters.\n",model); fflush(ficlog);
      *       if multiplied by age: V3*age Tvar[3=V3*age]=3 (V3) Tvar[7]=8 and           return 1;
      *  Tage[++cptcovage]=k        }
      *       if products, new covar are created after ncovcol with k1        nagesqr=1;
      *  Tvar[k]=ncovcol+k1; # of the kth covariate product:  Tvar[5]=ncovcol+1=10  Tvar[6]=ncovcol+1=11        if (strstr(model,"+age*age") !=0)
      *  Tprod[k1]=k; Tprod[1]=5 Tprod[2]= 6; gives the position of the k1th product          substrchaine(modelsav, model, "+age*age");
      *  Tvard[k1][1]=m Tvard[k1][2]=m; Tvard[1][1]=5 (V5) Tvard[1][2]=6 Tvard[2][1]=7 (V7) Tvard[2][2]=8        else if (strstr(model,"age*age+") !=0)
      *  Tvar[cptcovn+k2]=Tvard[k1][1];Tvar[cptcovn+k2+1]=Tvard[k1][2];          substrchaine(modelsav, model, "age*age+");
      *  Tvar[8+1]=5;Tvar[8+2]=6;Tvar[8+3]=7;Tvar[8+4]=8 inverted        else 
      *  V1   V2   V3   V4  V5  V6  V7  V8  V9  V10  V11          substrchaine(modelsav, model, "age*age");
      *  <          ncovcol=8                >      }else
      *       Model V2 + V1 + V3*age + V3 + V5*V6 + V7*V8 + V8*age + V8    d1   d1   d2  d2        nagesqr=0;
      *          k=  1    2      3       4     5       6      7        8    9   10   11  12      if (strlen(modelsav) >1){ /* V2 +V3 +V4 +V6 +V7 +V6*V2 +V7*V2 +V6*V3 +V7*V3 +V6*V4 +V7*V4 +age*V2 +age*V3 +age*V4 +age*V6 +age*V7 +age*V6*V2 +V7*V2 +age*V6*V3 +age*V7*V3 +age*V6*V4 +age*V7*V4 */
      *     Tvar[k]= 2    1      3       3    10      11      8        8    5    6    7   8        j=nbocc(modelsav,'+'); /**< j=Number of '+' */
      * p Tvar[1]@12={2,   1,     3,      3,   11,     10,     8,       8,   7,   8,   5,  6}        j1=nbocc(modelsav,'*'); /**< j1=Number of '*' */
      * p Tprod[1]@2={                         6, 5}        cptcovs=0; /**<  Number of simple covariates V1 +V1*age +V3 +V3*V4 +age*age => V1 + V3 =4+1-3=2  Wrong */
      *p Tvard[1][1]@4= {7, 8, 5, 6}        cptcovt= j+1; /* Number of total covariates in the model, not including
      * covar[k][i]= V2   V1      ?      V3    V5*V6?   V7*V8?  ?       V8                          * cst, age and age*age 
      *  cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];                       * V1+V1*age+ V3 + V3*V4+age*age=> 3+1=4*/
      *How to reorganize?        /* including age products which are counted in cptcovage.
      * Model V1 + V2 + V3 + V8 + V5*V6 + V7*V8 + V3*age + V8*age         * but the covariates which are products must be treated 
      * Tvars {2,   1,     3,      3,   11,     10,     8,       8,   7,   8,   5,  6}         * separately: ncovn=4- 2=2 (V1+V3). */
      *       {2,   1,     4,      8,    5,      6,     3,       7}        cptcovprod=0; /**< Number of products  V1*V2 +v3*age = 2 */
      * Struct []        cptcovdageprod=0; /* Number of doouble products with age age*Vn*VM or Vn*age*Vm or Vn*Vm*age */
      */        cptcovprodnoage=0; /**< Number of covariate products without age: V3*V4 =1  */
         cptcovprodage=0;
         /* cptcovprodage=nboccstr(modelsav,"age");*/
         
         /*   Design
          *  V1   V2   V3   V4  V5  V6  V7  V8  V9 Weight
          *  <          ncovcol=8                >
          * Model V2 + V1 + V3*age + V3 + V5*V6 + V7*V8 + V8*age + V8
          *   k=  1    2      3       4     5       6      7        8
          *  cptcovn number of covariates (not including constant and age ) = # of + plus 1 = 7+1=8
          *  covar[k,i], are for fixed covariates, value of kth covariate if not including age for individual i:
          *       covar[1][i]= (V1), covar[4][i]=(V4), covar[8][i]=(V8)
          *  Tvar[k] # of the kth covariate:  Tvar[1]=2  Tvar[2]=1 Tvar[4]=3 Tvar[8]=8
          *       if multiplied by age: V3*age Tvar[3=V3*age]=3 (V3) Tvar[7]=8 and 
          *  Tage[++cptcovage]=k
          *       if products, new covar are created after ncovcol + nqv (quanti fixed) with k1
          *  Tvar[k]=ncovcol+k1; # of the kth covariate product:  Tvar[5]=ncovcol+1=10  Tvar[6]=ncovcol+1=11
          *  Tprod[k1]=k; Tprod[1]=5 Tprod[2]= 6; gives the position of the k1th product
          *  Tvard[k1][1]=m Tvard[k1][2]=m; Tvard[1][1]=5 (V5) Tvard[1][2]=6 Tvard[2][1]=7 (V7) Tvard[2][2]=8
          *  Tvar[cptcovn+k2]=Tvard[k1][1];Tvar[cptcovn+k2+1]=Tvard[k1][2];
          *  Tvar[8+1]=5;Tvar[8+2]=6;Tvar[8+3]=7;Tvar[8+4]=8 inverted
          *  V1   V2   V3   V4  V5  V6  V7  V8  V9  V10  V11
          *  <          ncovcol=8  8 fixed covariate. Additional starts at 9 (V5*V6) and 10(V7*V8)              >
          *       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
          *     Tvard[k]= 2    1      3       3    10      11      8        8    5    6    7   8
          * p Tvar[1]@12={2,   1,     3,      3,   9,     10,     8,       8}
          * 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? 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}
          * Struct []
          */
         
         /* This loop fills the array Tvar from the string 'model'.*/
         /* j is the number of + signs in the model V1+V2+V3 j=2 i=3 to 1 */
         /*   modelsav=V2+V1+V4+age*V3 strb=age*V3 stra=V2+V1+V4  */
         /*        k=4 (age*V3) Tvar[k=4]= 3 (from V3) Tage[cptcovage=1]=4 */
         /*        k=3 V4 Tvar[k=3]= 4 (from V4) */
         /*        k=2 V1 Tvar[k=2]= 1 (from V1) */
         /*        k=1 Tvar[1]=2 (from V2) */
         /*        k=5 Tvar[5] */
         /* for (k=1; k<=cptcovn;k++) { */
         /*        cov[2+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
         /*        } */
         /* for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,Tvar[Tage[k])]]*cov[2]; */
         /*
          * Treating invertedly V2+V1+V3*age+V2*V4 is as if written V2*V4 +V3*age + V1 + V2 */
         for(k=cptcovt; k>=1;k--){ /**< Number of covariates not including constant and age, neither age*age*/
           Tvar[k]=0; Tprod[k]=0; Tposprod[k]=0;
         }
         cptcovage=0;
   
         /* First loop in order to calculate */
         /* for age*VN*Vm
          * Provides, Typevar[k], Tage[cptcovage], existcomb[n][m], FixedV[ncovcolt+k12]
          * Tprod[k1]=k  Tposprod[k]=k1;    Tvard[k1][1] =m;
         */
         /* Needs  FixedV[Tvardk[k][1]] */
         /* For others:
          * Sets   Typevar[k];
          * Tvar[k]=ncovcol+nqv+ntv+nqtv+k11;
          *        Tposprod[k]=k11;
          *        Tprod[k11]=k;
          *        Tvardk[k][1] =m;
          * Needs FixedV[Tvardk[k][1]] == 0
         */
         
         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 from left to right
                                            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 */
           /*      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+V5*age+ V4+V3*age strb=V3*age OR double product with age strb=age*V6*V2 or V6*V2*age or V6*age*V2 */
             cutl(strc,strd,strb,'*'); /**< k=1 strd*strc  Vm*Vn: strb=V3*age(input) strc=age strd=V3 ; V3*V2 strc=V2, strd=V3 OR strb=age*V6*V2 strc=V6*V2 strd=age OR c=V2*age OR c=age*V2  */
             if(strchr(strc,'*')) { /**< Model with age and DOUBLE product: allowed since 0.99r44, strc=V6*V2 or V2*age or age*V2, strd=age or V6 or V6   */
               Typevar[k]=3;  /* 3 for age and double product age*Vn*Vm varying of fixed */
               if(strstr(strc,"age")!=0) { /* It means that strc=V2*age or age*V2 and thus that strd=Vn */
                 cutl(stre,strf,strc,'*') ; /* strf=age or Vm, stre=Vm or age. If strc=V6*V2 then strf=V6 and stre=V2 */
                 strcpy(strc,strb); /* save strb(=age*Vn*Vm) into strc */
                 /* We want strb=Vn*Vm */
                 if(strcmp(strf,"age")==0){ /* strf is "age" so that stre=Vm =V2 . */
                   strcpy(strb,strd);
                   strcat(strb,"*");
                   strcat(strb,stre);
                 }else{  /* strf=Vm  If strf=V6 then stre=V2 */
                   strcpy(strb,strf);
                   strcat(strb,"*");
                   strcat(strb,stre);
                   strcpy(strd,strb); /* in order for strd to not be "age"  for next test (will be Vn*Vm */
                 }
                 /* printf("DEBUG FIXED k=%d, Tage[k]=%d, Tvar[Tage[k]=%d,FixedV[Tvar[Tage[k]]]=%d\n",k,Tage[k],Tvar[Tage[k]],FixedV[Tvar[Tage[k]]]); */
                 /* FixedV[Tvar[Tage[k]]]=0; /\* HERY not sure if V7*V4*age Fixed might not exist  yet*\/ */
               }else{  /* strc=Vn*Vm (and strd=age) and should be strb=Vn*Vm but want to keep original strb double product  */
                 strcpy(stre,strb); /* save full b in stre */
                 strcpy(strb,strc); /* save short c in new short b for next block strb=Vn*Vm*/
                 strcpy(strf,strc); /* save short c in new short f */
                 cutl(strc,strd,strf,'*'); /* We get strd=Vn and strc=Vm for next block (strb=Vn*Vm)*/
                 /* strcpy(strc,stre);*/ /* save full e in c for future */
               }
               cptcovdageprod++; /* double product with age  Which product is it? */
               /* strcpy(strb,strc);  /\* strb was age*V6*V2 or V6*V2*age or V6*age*V2 IS now V6*V2 or V2*age or age*V2 *\/ */
               /* cutl(strc,strd,strb,'*'); /\* strd=  V6    or   V2     or    age and  strc=  V2 or    age or    V2 *\/ */
               cutl(stre,strb,strc,'V'); /* strc= Vn, stre is n; strb=V3*V2 stre=3 strc=*/
               n=atoi(stre);
               cutl(strc,strb,strd,'V'); /* strd was Vm, strc is m */
               m=atoi(strc);
               cptcovage++; /* Counts the number of covariates which include age as a product */
               Tage[cptcovage]=k; /* For age*V3*V2 gives the position in model of covariates associated with age Tage[1]=6 HERY too*/
               if(existcomb[n][m] == 0){
                 /*  r /home/brouard/Documents/Recherches/REVES/Zachary/Zach-2022/Feinuo_Sun/Feinuo-threeway/femV12V15_3wayintNBe.imach */
                 printf("Warning in model combination V%d*V%d should exist in the model before adding V%d*V%d*age !\n",n,m,n,m);
                 fprintf(ficlog,"Warning in model combination V%d*V%d should exist in the model before adding V%d*V%d*age !\n",n,m,n,m);
                 fflush(ficlog);
                 k1++;  /* The combination Vn*Vm will be in the model so we create it at k1 */
                 k12++;
                 existcomb[n][m]=k1;
                 existcomb[m][n]=k1;
                 Tvar[k]=ncovcol+nqv+ntv+nqtv+k1;
                 Tprod[k1]=k;  /* Tprod[1]=3(=V1*V4) for V2+V1+V1*V4+age*V3+V3*V2+ age*V6*V3 Gives the k position of the k1 double product Vn*Vm or age*Vn*Vm*/
                 Tposprod[k]=k1; /* Tposprod[3]=1, Tposprod[2]=5 Gives the k1 double product  Vn*Vm or age*Vn*Vm at the k position */
                 Tvard[k1][1] =m; /* m 1 for V1*/
                 Tvardk[k][1] =m; /* m 1 for V1*/
                 Tvard[k1][2] =n; /* n 4 for V4*/
                 Tvardk[k][2] =n; /* n 4 for V4*/
   /*            Tvar[Tage[cptcovage]]=k1;*/ /* Tvar[6=age*V3*V2]=9 (new fixed covariate) */ /* We don't know about Fixed yet HERE */
                 if( FixedV[Tvardk[k][1]] == 0 && FixedV[Tvardk[k][2]] == 0){ /* If the product is a fixed covariate then we feed the new column with Vn*Vm */
                   for (i=1; i<=lastobs;i++){/* For fixed product */
                     /* Computes the new covariate which is a product of
                        covar[n][i]* covar[m][i] and stores it at ncovol+k1 May not be defined */
                     covar[ncovcolt+k1][i]=covar[atoi(stre)][i]*covar[atoi(strc)][i];
                   }
                   cptcovprodage++; /* Counting the number of fixed covariate with age */
                   FixedV[ncovcolt+k12]=0; /* We expand Vn*Vm */
                   k12++;
                   FixedV[ncovcolt+k12]=0;
                 }else{ /*End of FixedV */
                   cptcovprodvage++; /* Counting the number of varying covariate with age */
                   FixedV[ncovcolt+k12]=1; /* We expand Vn*Vm */
                   k12++;
                   FixedV[ncovcolt+k12]=1;
                 }
               }else{  /* k1 Vn*Vm already exists */
                 k11=existcomb[n][m];
                 Tposprod[k]=k11; /* OK */
                 Tvar[k]=Tvar[Tprod[k11]]; /* HERY */
                 Tvardk[k][1]=m;
                 Tvardk[k][2]=n;
                 if( FixedV[Tvardk[k][1]] == 0 && FixedV[Tvardk[k][2]] == 0){ /* If the product is a fixed covariate then we feed the new column with Vn*Vm */
                   /*cptcovage++;*/ /* Counts the number of covariates which include age as a product */
                   cptcovprodage++; /* Counting the number of fixed covariate with age */
                   /*Tage[cptcovage]=k;*/ /* For age*V3*V2 Tage[1]=V3*V3=9 HERY too*/
                   Tvar[Tage[cptcovage]]=k1;
                   FixedV[ncovcolt+k12]=0; /* We expand Vn*Vm */
                   k12++;
                   FixedV[ncovcolt+k12]=0;
                 }else{ /* Already exists but time varying (and age) */
                   /*cptcovage++;*/ /* Counts the number of covariates which include age as a product */
                   /*Tage[cptcovage]=k;*/ /* For age*V3*V2 Tage[1]=V3*V3=9 HERY too*/
                   /* Tvar[Tage[cptcovage]]=k1; */
                   cptcovprodvage++;
                   FixedV[ncovcolt+k12]=1; /* We expand Vn*Vm */
                   k12++;
                   FixedV[ncovcolt+k12]=1;
                 }
               }
               /* Tage[cptcovage]=k;  /\*  V2+V1+V4+V3*age Tvar[4]=3, Tage[1] = 4 or V1+V1*age Tvar[2]=1, Tage[1]=2 *\/ */
               /* Tvar[k]=k11; /\* HERY *\/ */
             } else {/* simple product strb=age*Vn so that c=Vn and d=age, or strb=Vn*age so that c=age and d=Vn, or b=Vn*Vm so that c=Vm and d=Vn */
               cptcovprod++;
               if (strcmp(strc,"age")==0) { /**< Model includes age: strb= Vn*age c=age d=Vn*/
                 /* covar is not filled and then is empty */
                 cutl(stre,strb,strd,'V'); /* strd=V3(input): stre="3" */
                 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++; /* Counts the number of covariates which include age as a product */
                 Tage[cptcovage]=k;  /*  V2+V1+V4+V3*age Tvar[4]=3, Tage[1] = 4 or V1+V1*age Tvar[2]=1, Tage[1]=2 */
                 if( FixedV[Tvar[k]] == 0){
                   cptcovprodage++; /* Counting the number of fixed covariate with age */
                 }else{
                   cptcovprodvage++; /* Counting the number of fixedvarying covariate with age */
                 }
                 /*printf("stre=%s ", stre);*/
               } else if (strcmp(strd,"age")==0) { /* strb= age*Vn c=Vn */
                 cutl(stre,strb,strc,'V');
                 Tvar[k]=atoi(stre);
                 Typevar[k]=1;  /* 1 for age product */
                 cptcovage++;
                 Tage[cptcovage]=k;
                 if( FixedV[Tvar[k]] == 0){
                   cptcovprodage++; /* Counting the number of fixed covariate with age */
                 }else{
                   cptcovprodvage++; /* Counting the number of fixedvarying covariate with age */
                 }
               }else{ /*  for product Vn*Vm */
                 Typevar[k]=2;  /* 2 for product Vn*Vm */
                 cutl(stre,strb,strc,'V'); /* strc= Vn, stre is n; strb=V3*V2 stre=3 strc=*/
                 n=atoi(stre);
                 cutl(strc,strb,strd,'V'); /* strd was Vm, strc is m */
                 m=atoi(strc);
                 k1++;
                 cptcovprodnoage++;
                 if(existcomb[n][m] != 0 || existcomb[m][n] != 0){
                   printf("Warning in model combination V%d*V%d already exists in the model in position k1=%d!\n",n,m,existcomb[n][m]);
                   fprintf(ficlog,"Warning in model combination V%d*V%d already exists in the model in position k1=%d!\n",n,m,existcomb[n][m]);
                   fflush(ficlog);
                   k11=existcomb[n][m];
                   Tvar[k]=ncovcol+nqv+ntv+nqtv+k11;
                   Tposprod[k]=k11;
                   Tprod[k11]=k;
                   Tvardk[k][1] =m; /* m 1 for V1*/
                   /* Tvard[k11][1] =m; /\* n 4 for V4*\/ */
                   Tvardk[k][2] =n; /* n 4 for V4*/                
                   /* Tvard[k11][2] =n; /\* n 4 for V4*\/ */
                 }else{ /* combination Vn*Vm doesn't exist we create it (no age)*/
                   existcomb[n][m]=k1;
                   existcomb[m][n]=k1;
                   Tvar[k]=ncovcol+nqv+ntv+nqtv+k1; /* ncovcolt+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
                                                       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]=3 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
                    */
                   /* We need to feed some variables like TvarVV, but later on next loop because of ncovv (k2) is not correct */
                   Tprod[k1]=k;  /* Tprod[1]=3(=V1*V4) for V2+V1+V1*V4+age*V3+V3*V2 +V6*V2*age  */
                   Tposprod[k]=k1; /* Tposprod[3]=1, Tposprod[2]=5 */
                   Tvard[k1][1] =m; /* m 1 for V1*/
                   Tvardk[k][1] =m; /* m 1 for V1*/
                   Tvard[k1][2] =n; /* n 4 for V4*/
                   Tvardk[k][2] =n; /* 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) *\/ */
                   /*ncovcol=4 and model=V2+V1+V1*V4+age*V3+V3*V2, Tvar[3]=5, Tvar[4]=6, cptcovt=5 */
                   /*                     1  2   3      4     5 | Tvar[5+1)=1, Tvar[7]=2   */
                   if( FixedV[Tvardk[k][1]] == 0 && FixedV[Tvardk[k][2]] == 0){ /* If the product is a fixed covariate then we feed the new column with Vn*Vm */
                     for (i=1; i<=lastobs;i++){/* For fixed product */
                       /* Computes the new covariate which is a product of
                          covar[n][i]* covar[m][i] and stores it at ncovol+k1 May not be defined */
                       covar[ncovcolt+k1][i]=covar[atoi(stre)][i]*covar[atoi(strc)][i];
                     }
                     /* TvarVV[k2]=n; */
                     /* FixedV[ncovcolt+k2]=0; /\* or FixedV[Tvar[k]]=0; FixedV[TvarVV[ncovv]]=0 HERE *\/ */
                     /* TvarVV[k2+1]=m; */
                     /* FixedV[ncovcolt+k2]=0; /\* or FixedV[Tvar[k]]=0; FixedV[TvarVV[ncovv]]=0 HERE *\/ */
                   }else{ /* not FixedV */
                     /* TvarVV[k2]=n; */
                     /* FixedV[ncovcolt+k2]=0; /\* or FixedV[Tvar[k]]=0; FixedV[TvarVV[ncovv]]=0 HERE *\/ */
                     /* TvarVV[k2+1]=m; */
                     /* FixedV[ncovcolt+k2]=0; /\* or FixedV[Tvar[k]]=0; FixedV[TvarVV[ncovv]]=0 HERE *\/ */
                   }                 
                 }  /* End of creation of Vn*Vm if not created by age*Vn*Vm earlier  */
               } /*  End of product Vn*Vm */
             } /* End of age*double product or simple product */
           }else { /* not a product */
             /*printf("d=%s c=%s b=%s\n", strd,strc,strb);*/
             /*  scanf("%d",i);*/
             cutl(strd,strc,strb,'V');
             ks++; /**< Number of simple covariates dummy or quantitative, fixe or varying */
             cptcovn++; /** V4+V3+V5: V4 and V3 timevarying dummy covariates, V5 timevarying quantitative */
             Tvar[k]=atoi(strd);
             Typevar[k]=0;  /* 0 for simple covariates */
           }
           strcpy(modelsav,stra);  /* modelsav=V2+V1+V4 stra=V2+V1+V4 */ 
                                   /*printf("a=%s b=%s sav=%s\n", stra,strb,modelsav);
                                     scanf("%d",i);*/
         } /* end of loop + on total covariates */
   
         
       } /* end if strlen(modelsave == 0) age*age might exist */
     } /* end if strlen(model == 0) */
     cptcovs=cptcovt - cptcovdageprod - cptcovprod;/**<  Number of simple covariates V1 +V1*age +V3 +V3*V4 +age*age + age*v4*V3=> V1 + V3 =4+1-3=2  */
   
     /* This loop fills the array Tvar from the string 'model'.*/  
     /* j is the number of + signs in the model V1+V2+V3 j=2 i=3 to 1 */  
     /*   modelsav=V2+V1+V4+age*V3 strb=age*V3 stra=V2+V1+V4  */  
     /*  k=4 (age*V3) Tvar[k=4]= 3 (from V3) Tage[cptcovage=1]=4 */  
     /*  k=3 V4 Tvar[k=3]= 4 (from V4) */  
     /*  k=2 V1 Tvar[k=2]= 1 (from V1) */  
     /*  k=1 Tvar[1]=2 (from V2) */  
     /*  k=5 Tvar[5] */  
     /* for (k=1; k<=cptcovn;k++) { */  
     /*  cov[2+k]=nbcode[Tvar[k]][codtab[ij][Tvar[k]]]; */  
     /*  } */  
     /* for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */  
     /*  
      * Treating invertedly V2+V1+V3*age+V2*V4 is as if written V2*V4 +V3*age + V1 + V2 */  
     for(k=cptcovt; k>=1;k--) /**< Number of covariates */  
         Tvar[k]=0;  
     cptcovage=0;  
     for(k=1; k<=cptcovt;k++){ /* Loop on total covariates of the model */  
       cutl(stra,strb,modelsav,'+'); /* keeps in strb after the first '+'   
                                      modelsav==V2+V1+V4+V3*age strb=V3*age stra=V2+V1+V4 */   
       if (nbocc(modelsav,'+')==0) strcpy(strb,modelsav); /* and analyzes it */  
       /*      printf("i=%d a=%s b=%s sav=%s\n",i, stra,strb,modelsav);*/  
       /*scanf("%d",i);*/  
       if (strchr(strb,'*')) {  /**< Model includes a product V2+V1+V4+V3*age strb=V3*age */  
         cutl(strc,strd,strb,'*'); /**< strd*strc  Vm*Vn: strb=V3*age(input) strc=age strd=V3 ; V3*V2 strc=V2, strd=V3 */  
         if (strcmp(strc,"age")==0) { /**< Model includes age: Vn*age */  
           /* covar is not filled and then is empty */  
           cptcovprod--;  
           cutl(stre,strb,strd,'V'); /* strd=V3(input): stre="3" */  
           Tvar[k]=atoi(stre);  /* V2+V1+V4+V3*age Tvar[4]=3 ; V1+V2*age Tvar[2]=2 */  
           cptcovage++; /* Sums the number of covariates which include age as a product */  
           Tage[cptcovage]=k;  /* Tage[1] = 4 */  
           /*printf("stre=%s ", stre);*/  
         } else if (strcmp(strd,"age")==0) { /* or age*Vn */  
           cptcovprod--;  
           cutl(stre,strb,strc,'V');  
           Tvar[k]=atoi(stre);  
           cptcovage++;  
           Tage[cptcovage]=k;  
         } else {  /* Age is not in the model product V2+V1+V1*V4+V3*age+V3*V2  strb=V3*V2*/  
           /* loops on k1=1 (V3*V2) and k1=2 V4*V3 */  
           cptcovn++;  
           cptcovprodnoage++;k1++;  
           cutl(stre,strb,strc,'V'); /* strc= Vn, stre is n; strb=V3*V2 stre=3 strc=*/  
           Tvar[k]=ncovcol+k1; /* For model-covariate k tells which data-covariate to use but  
                                   because this model-covariate is a construction we invent a new column  
                                   ncovcol + k1  
                                   If already ncovcol=4 and model=V2+V1+V1*V4+age*V3+V3*V2  
                                   Tvar[3=V1*V4]=4+1 Tvar[5=V3*V2]=4 + 2= 6, etc */  
           cutl(strc,strb,strd,'V'); /* strd was Vm, strc is m */  
           Tprod[k1]=k;  /* Tprod[1]=3(=V1*V4) for V2+V1+V1*V4+age*V3+V3*V2  */  
           Tvard[k1][1] =atoi(strc); /* m 1 for V1*/  
           Tvard[k1][2] =atoi(stre); /* n 4 for V4*/  
           k2=k2+2;  
           Tvar[cptcovt+k2]=Tvard[k1][1]; /* Tvar[(cptcovt=4+k2=1)=5]= 1 (V1) */  
           Tvar[cptcovt+k2+1]=Tvard[k1][2];  /* Tvar[(cptcovt=4+(k2=1)+1)=6]= 4 (V4) */  
           for (i=1; i<=lastobs;i++){  
             /* Computes the new covariate which is a product of  
                covar[n][i]* covar[m][i] and stores it at ncovol+k1 May not be defined */  
             covar[ncovcol+k1][i]=covar[atoi(stre)][i]*covar[atoi(strc)][i];  
           }  
         } /* End age is not in the model */  
       } /* End if model includes a product */  
       else { /* no more sum */  
         /*printf("d=%s c=%s b=%s\n", strd,strc,strb);*/  
        /*  scanf("%d",i);*/  
         cutl(strd,strc,strb,'V');  
         ks++; /**< Number of simple covariates */  
         cptcovn++;  
         Tvar[k]=atoi(strd);  
       }  
       strcpy(modelsav,stra);  /* modelsav=V2+V1+V4 stra=V2+V1+V4 */   
       /*printf("a=%s b=%s sav=%s\n", stra,strb,modelsav);  
         scanf("%d",i);*/  
     } /* end of loop + */  
   } /* end model */  
     
   /*The number n of Vn is stored in Tvar. cptcovage =number of age covariate. Tage gives the position of age. cptcovprod= number of products.    /*The number n of Vn is stored in Tvar. cptcovage =number of age covariate. Tage gives the position of age. cptcovprod= number of products.
     If model=V1+V1*age then Tvar[1]=1 Tvar[2]=1 cptcovage=1 Tage[1]=2 cptcovprod=0*/      If model=V1+V1*age then Tvar[1]=1 Tvar[2]=1 cptcovage=1 Tage[1]=2 cptcovprod=0*/
     
   /* printf("tvar1=%d tvar2=%d tvar3=%d cptcovage=%d Tage=%d",Tvar[1],Tvar[2],Tvar[3],cptcovage,Tage[1]);    /* printf("tvar1=%d tvar2=%d tvar3=%d cptcovage=%d Tage=%d",Tvar[1],Tvar[2],Tvar[3],cptcovage,Tage[1]);
   printf("cptcovprod=%d ", cptcovprod);       printf("cptcovprod=%d ", cptcovprod);
   fprintf(ficlog,"cptcovprod=%d ", cptcovprod);       fprintf(ficlog,"cptcovprod=%d ", cptcovprod);
        scanf("%d ",i);*/
   scanf("%d ",i);*/  
   
   /* Until here, decodemodel knows only the grammar (simple, product, age*) of the model but not what kind
      of variable (dummy vs quantitative, fixed vs time varying) is behind. But we know the # of each. */
   /* ncovcol= 1, nqv=1 | ntv=2, nqtv= 1  = 5 possible variables data: 2 fixed 3, varying
      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        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;
   */  
   /* Dispatching between quantitative and time varying covariates */
     /* 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=1+age+%s\n\
   Typevar: 0 for simple covariate (dummy, quantitative, fixed or varying), 1 for age product, 2 for  product, 3 for double product with age \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=1+age+%s\n\
   Typevar: 0 for simple covariate (dummy, quantitative, fixed or varying), 1 for age product, 2 for  product, 3 for double product with age  \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<=NCOVMAX; k++){ Fixed[k]=0; Dummy[k]=0;}
     for(k=1;k<=NCOVMAX; k++){TvarFind[k]=0; TvarVind[k]=0;}
   
   
     /* Second loop for calculating  Fixed[k], Dummy[k]*/
   
     
     for(k=1, ncovf=0, nsd=0, nsq=0, ncovv=0,ncovva=0,ncovvta=0, ncova=0, ncoveff=0, nqfveff=0, ntveff=0, nqtveff=0, ncovvt=0;k<=cptcovt; k++){ /* or cptocvt loop on k from model */
       if (Tvar[k] <=ncovcol && Typevar[k]==0 ){ /* Simple fixed dummy (<=ncovcol) covariates */
         Fixed[k]= 0;
         Dummy[k]= 0;
         ncoveff++;
         ncovf++;
         nsd++;
         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 */
         TvarFDind[ncoveff]=k; /* TvarFDind[1]=9 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
       /* }else if( Tvar[k] <=ncovcol &&  Typevar[k]==2){ /\* Product of fixed dummy (<=ncovcol) covariates For a fixed product k is higher than ncovcol *\/ */
       }else if( Tvar[k] <=ncovcol+nqv && Typevar[k]==0){/* Remind that product Vn*Vm are added in k Only simple fixed quantitative variable */
         Fixed[k]= 0;
         Dummy[k]= 1;
         nqfveff++;
         modell[k].maintype= FTYPE;
         modell[k].subtype= FQ;
         nsq++;
         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;    /* 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;
         TvarFQ[nqfveff]=Tvar[k]-ncovcol; /* TvarFQ[1]=V2-1=1st in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple fixed quantitative variable */
         TvarFQind[nqfveff]=k; /* TvarFQind[1]=6 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple fixed quantitative variable */
       }else if( Tvar[k] <=ncovcol+nqv+ntv && Typevar[k]==0){/* Only simple time varying dummy variables */
         /*#  ID           V1     V2          weight               birth   death   1st    s1      V3      V4      V5       2nd  s2 */
         /* model V1+V3+age*V1+age*V3+V1*V3 */
         /*  Tvar={1, 3, 1, 3, 6}, the 6 comes from the fact that there are already V1, V2, V3, V4, V5 native covariates */
         ncovvt++;
         TvarVV[ncovvt]=Tvar[k];  /*  TvarVV[1]=V3 (first time varying in the model equation  */
         TvarVVind[ncovvt]=k;    /*  TvarVVind[1]=2 (second position in the model equation  */
   
         Fixed[k]= 1;
         Dummy[k]= 0;
         ntveff++; /* Only simple time varying dummy variable */
         modell[k].maintype= VTYPE;
         modell[k].subtype= VD;
         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 */
         TvarVD[ntveff]=Tvar[k]; /* TvarVD[1]=V4  TvarVD[2]=V3 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple time varying dummy variable */
         TvarVDind[ntveff]=k; /* TvarVDind[1]=2 TvarVDind[2]=3 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple time varying dummy variable */
         printf("Quasi Tmodelind[%d]=%d,Tvar[Tmodelind[%d]]=V%d, ncovcol=%d, nqv=%d,Tvar[k]- ncovcol-nqv=%d\n",ntveff,k,ntveff,Tvar[k], ncovcol, nqv,Tvar[k]- ncovcol-nqv);
         printf("Quasi TmodelInvind[%d]=%d\n",k,Tvar[k]- ncovcol-nqv);
       }else if( Tvar[k] <=ncovcol+nqv+ntv+nqtv  && Typevar[k]==0){ /* Only simple time varying quantitative variable V5*/
         /*#  ID           V1     V2          weight               birth   death   1st    s1      V3      V4      V5       2nd  s2 */
         /* model V1+V3+age*V1+age*V3+V1*V3 */
         /*  Tvar={1, 3, 1, 3, 6}, the 6 comes from the fact that there are already V1, V2, V3, V4, V5 native covariates */
         ncovvt++;
         TvarVV[ncovvt]=Tvar[k];  /*  TvarVV[1]=V3 (first time varying in the model equation  */
         TvarVVind[ncovvt]=k;  /*  TvarVV[1]=V3 (first time varying in the model equation  */
         
         Fixed[k]= 1;
         Dummy[k]= 1;
         nqtveff++;
         modell[k].maintype= VTYPE;
         modell[k].subtype= VQ;
         ncovv++; /* Only simple time varying variables */
         nsq++;
         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; /* 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 */
         TvarVQind[nqtveff]=k; /* TvarVQind[1]=1 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple time varying quantitative variable */
         TmodelInvQind[nqtveff]=Tvar[k]- ncovcol-nqv-ntv;/* Only simple time varying quantitative variable */
         /* Tmodeliqind[k]=nqtveff;/\* Only simple time varying quantitative variable *\/ */
         /* printf("Quasi TmodelQind[%d]=%d,Tvar[TmodelQind[%d]]=V%d, ncovcol=%d, nqv=%d, ntv=%Ad,Tvar[k]- ncovcol-nqv-ntv=%d\n",nqtveff,k,nqtveff,Tvar[k], ncovcol, nqv, ntv, Tvar[k]- ncovcol-nqv-ntv); */
         /* printf("Quasi TmodelInvQind[%d]=%d\n",k,Tvar[k]- ncovcol-nqv-ntv); */
       }else if (Typevar[k] == 1) {  /* product with age */
         ncova++;
         TvarA[ncova]=Tvar[k];
         TvarAind[ncova]=k;
         /** Fixed[k] 0=fixed, 1 varying, 2 fixed with age product, 3 varying with age 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 (Tvar[k] <=ncovcol ){ /* Product age with fixed dummy covariatee */
           Fixed[k]= 2;
           Dummy[k]= 2;
           modell[k].maintype= ATYPE;
           modell[k].subtype= APFD;
           ncovta++;
           TvarAVVA[ncovta]=Tvar[k]; /*  (2)age*V3 */
           TvarAVVAind[ncovta]=k;
           /* ncoveff++; */
         }else if( Tvar[k] <=ncovcol+nqv) { /* Remind that product Vn*Vm are added in k*/
           Fixed[k]= 2;
           Dummy[k]= 3;
           modell[k].maintype= ATYPE;
           modell[k].subtype= APFQ;                /*      Product age * fixed quantitative */
           ncovta++;
           TvarAVVA[ncovta]=Tvar[k]; /*   */
           TvarAVVAind[ncovta]=k;
           /* nqfveff++;  /\* Only simple fixed quantitative variable *\/ */
         }else if( Tvar[k] <=ncovcol+nqv+ntv ){
           Fixed[k]= 3;
           Dummy[k]= 2;
           modell[k].maintype= ATYPE;
           modell[k].subtype= APVD;                /*      Product age * varying dummy */
           ncovva++;
           TvarVVA[ncovva]=Tvar[k]; /*  (1)+age*V6 + (2)age*V7 */
           TvarVVAind[ncovva]=k;
           ncovta++;
           TvarAVVA[ncovta]=Tvar[k]; /*   */
           TvarAVVAind[ncovta]=k;
           /* ntveff++; /\* Only simple time varying dummy variable *\/ */
         }else if( Tvar[k] <=ncovcol+nqv+ntv+nqtv){
           Fixed[k]= 3;
           Dummy[k]= 3;
           modell[k].maintype= ATYPE;
           modell[k].subtype= APVQ;                /*      Product age * varying quantitative */
           ncovva++;
           TvarVVA[ncovva]=Tvar[k]; /*   */
           TvarVVAind[ncovva]=k;
           ncovta++;
           TvarAVVA[ncovta]=Tvar[k]; /*  (1)+age*V6 + (2)age*V7 */
           TvarAVVAind[ncovta]=k;
           /* nqtveff++;/\* Only simple time varying quantitative variable *\/ */
         }
       }else if( Tposprod[k]>0  &&  Typevar[k]==2){  /* Detects if fixed product no age Vm*Vn */
         printf("MEMORY ERRORR k=%d  Tposprod[k]=%d, Typevar[k]=%d\n ",k, Tposprod[k], Typevar[k]);
         if(FixedV[Tvardk[k][1]] == 0 && FixedV[Tvardk[k][2]] == 0){ /* Needs a fixed product Product of fixed dummy (<=ncovcol) covariates For a fixed product k is higher than ncovcol V3*V2 */
         printf("MEMORY ERRORR k=%d Tvardk[k][1]=%d, Tvardk[k][2]=%d, FixedV[Tvardk[k][1]]=%d,FixedV[Tvardk[k][2]]=%d\n ",k,Tvardk[k][1],Tvardk[k][2],FixedV[Tvardk[k][1]],FixedV[Tvardk[k][2]]);
           Fixed[k]= 0;
           Dummy[k]= 0;
           ncoveff++;
           ncovf++;
           /* ncovv++; */
           /* TvarVV[ncovv]=Tvardk[k][1]; */
           /* FixedV[ncovcolt+ncovv]=0; /\* or FixedV[TvarVV[ncovv]]=0 HERE *\/ */
           /* ncovv++; */
           /* TvarVV[ncovv]=Tvardk[k][2]; */
           /* FixedV[ncovcolt+ncovv]=0; /\* or FixedV[TvarVV[ncovv]]=0 HERE *\/ */
           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 */
         }else{/* product varying Vn * Vm without age, V1+V3+age*V1+age*V3+V1*V3 looking at V1*V3, Typevar={0, 0, 1, 1, 2}, k=5, V1 is fixed, V3 is timevary, V5 is a product  */
           /*#  ID           V1     V2          weight               birth   death   1st    s1      V3      V4      V5       2nd  s2 */
           /* model V1+V3+age*V1+age*V3+V1*V3 + V1*V3*age*/
           /*  Tvar={1, 3, 1, 3, 6, 6}, the 6 comes from the fact that there are already V1, V2, V3, V4, V5 native covariates */
           k1=Tposprod[k];  /* Position in the products of product k, Tposprod={0, 0, 0, 0, 1, 1} k1=1 first product but second time varying because of V3 */
           ncovvt++;
           TvarVV[ncovvt]=Tvard[k1][1];  /*  TvarVV[2]=V1 (because TvarVV[1] was V3, first time varying covariates */
           TvarVVind[ncovvt]=k;  /*  TvarVVind[2]=5 (because TvarVVind[2] was V1*V3 at position 5 */
           ncovvt++;
           TvarVV[ncovvt]=Tvard[k1][2];  /*  TvarVV[3]=V3 */
           TvarVVind[ncovvt]=k;  /*  TvarVVind[2]=5 (because TvarVVind[2] was V1*V3 at position 5 */
           
           /** Fixed[k] 0=fixed, 1 varying, 2 fixed with age product, 3 varying with age 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(Tvard[k1][1] <=ncovcol){ /* Vn is dummy fixed, (Tvard[1][1]=V1), (Tvard[1][1]=V3 time varying) */
             if(Tvard[k1][2] <=ncovcol){ /* Vm is dummy fixed */
               Fixed[k]= 1;
               Dummy[k]= 0;
               modell[k].maintype= FTYPE;
               modell[k].subtype= FPDD;            /*      Product fixed dummy * fixed dummy */
               ncovf++; /* Fixed variables without age */
               TvarF[ncovf]=Tvar[k];
               TvarFind[ncovf]=k;
             }else if(Tvard[k1][2] <=ncovcol+nqv){ /* Vm is quanti fixed */
               Fixed[k]= 0;  /* Fixed product */
               Dummy[k]= 1;
               modell[k].maintype= FTYPE;
               modell[k].subtype= FPDQ;            /*      Product fixed dummy * fixed quantitative */
               ncovf++; /* Varying variables without age */
               TvarF[ncovf]=Tvar[k];
               TvarFind[ncovf]=k;
             }else if(Tvard[k1][2] <=ncovcol+nqv+ntv){ /* Vm is a time varying dummy covariate */
               Fixed[k]= 1;
               Dummy[k]= 0;
               modell[k].maintype= VTYPE;
               modell[k].subtype= VPDD;            /*      Product fixed dummy * varying dummy */
               ncovv++; /* Varying variables without age */
               TvarV[ncovv]=Tvar[k];  /* TvarV[1]=Tvar[5]=5 because there is a V4 */
               TvarVind[ncovv]=k;/* TvarVind[1]=5 */ 
             }else if(Tvard[k1][2] <=ncovcol+nqv+ntv+nqtv){ /* Vm is a time varying quantitative covariate */
               Fixed[k]= 1;
               Dummy[k]= 1;
               modell[k].maintype= VTYPE;
               modell[k].subtype= VPDQ;            /*      Product fixed dummy * varying quantitative */
               ncovv++; /* Varying variables without age */
               TvarV[ncovv]=Tvar[k];
               TvarVind[ncovv]=k;
             }
           }else if(Tvard[k1][1] <=ncovcol+nqv){ /* Vn is fixed quanti  */
             if(Tvard[k1][2] <=ncovcol){ /* Vm is fixed dummy */
               Fixed[k]= 0;  /*  Fixed product */
               Dummy[k]= 1;
               modell[k].maintype= FTYPE;
               modell[k].subtype= FPDQ;            /*      Product fixed quantitative * fixed dummy */
               ncovf++; /* Fixed variables without age */
               TvarF[ncovf]=Tvar[k];
               TvarFind[ncovf]=k;
             }else if(Tvard[k1][2] <=ncovcol+nqv+ntv){ /* Vm is time varying */
               Fixed[k]= 1;
               Dummy[k]= 1;
               modell[k].maintype= VTYPE;
               modell[k].subtype= VPDQ;            /*      Product fixed quantitative * varying dummy */
               ncovv++; /* Varying variables without age */
               TvarV[ncovv]=Tvar[k];
               TvarVind[ncovv]=k;
             }else if(Tvard[k1][2] <=ncovcol+nqv+ntv+nqtv){ /* Vm is time varying quanti */
               Fixed[k]= 1;
               Dummy[k]= 1;
               modell[k].maintype= VTYPE;
               modell[k].subtype= VPQQ;            /*      Product fixed quantitative * varying quantitative */
               ncovv++; /* Varying variables without age */
               TvarV[ncovv]=Tvar[k];
               TvarVind[ncovv]=k;
               ncovv++; /* Varying variables without age */
               TvarV[ncovv]=Tvar[k];
               TvarVind[ncovv]=k;
             }
           }else if(Tvard[k1][1] <=ncovcol+nqv+ntv){ /* Vn is time varying dummy */
             if(Tvard[k1][2] <=ncovcol){
               Fixed[k]= 1;
               Dummy[k]= 1;
               modell[k].maintype= VTYPE;
               modell[k].subtype= VPDD;            /*      Product time varying dummy * fixed dummy */
               ncovv++; /* Varying variables without age */
               TvarV[ncovv]=Tvar[k];
               TvarVind[ncovv]=k;
             }else if(Tvard[k1][2] <=ncovcol+nqv){
               Fixed[k]= 1;
               Dummy[k]= 1;
               modell[k].maintype= VTYPE;
               modell[k].subtype= VPDQ;            /*      Product time varying dummy * fixed quantitative */
               ncovv++; /* Varying variables without age */
               TvarV[ncovv]=Tvar[k];
               TvarVind[ncovv]=k;
             }else if(Tvard[k1][2] <=ncovcol+nqv+ntv){
               Fixed[k]= 1;
               Dummy[k]= 0;
               modell[k].maintype= VTYPE;
               modell[k].subtype= VPDD;            /*      Product time varying dummy * time varying dummy */
               ncovv++; /* Varying variables without age */
               TvarV[ncovv]=Tvar[k];
               TvarVind[ncovv]=k;
             }else if(Tvard[k1][2] <=ncovcol+nqv+ntv+nqtv){
               Fixed[k]= 1;
               Dummy[k]= 1;
               modell[k].maintype= VTYPE;
               modell[k].subtype= VPDQ;            /*      Product time varying dummy * time varying quantitative */
               ncovv++; /* Varying variables without age */
               TvarV[ncovv]=Tvar[k];
               TvarVind[ncovv]=k;
             }
           }else if(Tvard[k1][1] <=ncovcol+nqv+ntv+nqtv){ /* Vn is time varying quanti */
             if(Tvard[k1][2] <=ncovcol){
               Fixed[k]= 1;
               Dummy[k]= 1;
               modell[k].maintype= VTYPE;
               modell[k].subtype= VPDQ;            /*      Product time varying quantitative * fixed dummy */
               ncovv++; /* Varying variables without age */
               TvarV[ncovv]=Tvar[k];
               TvarVind[ncovv]=k;
             }else if(Tvard[k1][2] <=ncovcol+nqv){
               Fixed[k]= 1;
               Dummy[k]= 1;
               modell[k].maintype= VTYPE;
               modell[k].subtype= VPQQ;            /*      Product time varying quantitative * fixed quantitative */
               ncovv++; /* Varying variables without age */
               TvarV[ncovv]=Tvar[k];
               TvarVind[ncovv]=k;
             }else if(Tvard[k1][2] <=ncovcol+nqv+ntv){
               Fixed[k]= 1;
               Dummy[k]= 1;
               modell[k].maintype= VTYPE;
               modell[k].subtype= VPDQ;            /*      Product time varying quantitative * time varying dummy */
               ncovv++; /* Varying variables without age */
               TvarV[ncovv]=Tvar[k];
               TvarVind[ncovv]=k;
             }else if(Tvard[k1][2] <=ncovcol+nqv+ntv+nqtv){
               Fixed[k]= 1;
               Dummy[k]= 1;
               modell[k].maintype= VTYPE;
               modell[k].subtype= VPQQ;            /*      Product time varying quantitative * time varying quantitative */
               ncovv++; /* Varying variables without age */
               TvarV[ncovv]=Tvar[k];
               TvarVind[ncovv]=k;
             }
           }else{
             printf("Error unknown type of covariate: Tvard[%d][1]=%d,Tvard[%d][2]=%d\n",k1,Tvard[k1][1],k1,Tvard[k1][2]);
             fprintf(ficlog,"Error unknown type of covariate: Tvard[%d][1]=%d,Tvard[%d][2]=%d\n",k1,Tvard[k1][1],k1,Tvard[k1][2]);
           } /*end k1*/
         }
       }else if(Typevar[k] == 3){  /* product Vn * Vm with age, V1+V3+age*V1+age*V3+V1*V3 looking at V1*V3, Typevar={0, 0, 1, 1, 2}, k=5, V1 is fixed, V3 is timevary, V5 is a product  */
         /*#  ID           V1     V2          weight               birth   death   1st    s1      V3      V4      V5       2nd  s2 */
         /* model V1+V3+age*V1+age*V3+V1*V3 + V1*V3*age*/
         /*  Tvar={1, 3, 1, 3, 6, 6}, the 6 comes from the fact that there are already V1, V2, V3, V4, V5 native covariates */
         k1=Tposprod[k];  /* Position in the products of product k, Tposprod={0, 0, 0, 0, 1, 1} k1=1 first product but second time varying because of V3 */
         ncova++;
         TvarA[ncova]=Tvard[k1][1];  /*  TvarVV[2]=V1 (because TvarVV[1] was V3, first time varying covariates */
         TvarAind[ncova]=k;  /*  TvarVVind[2]=5 (because TvarVVind[2] was V1*V3 at position 5 */
         ncova++;
         TvarA[ncova]=Tvard[k1][2];  /*  TvarVV[3]=V3 */
         TvarAind[ncova]=k;  /*  TvarVVind[2]=5 (because TvarVVind[2] was V1*V3 at position 5 */
   
         /** Fixed[k] 0=fixed, 1 varying, 2 fixed with age product, 3 varying with age 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( FixedV[Tvardk[k][1]] == 0 && FixedV[Tvardk[k][2]] == 0){
           ncovta++;
           TvarAVVA[ncovta]=Tvard[k1][1]; /*   age*V6*V3 +age*V7*V3 + age*V6*V4 +age*V7*V4 */
           TvarAVVAind[ncovta]=k;
           ncovta++;
           TvarAVVA[ncovta]=Tvard[k1][2]; /*   age*V6*V3 +age*V7*V3 + age*V6*V4 +age*V7*V4 */
           TvarAVVAind[ncovta]=k;
         }else{
           ncovva++;  /* HERY  reached */
           TvarVVA[ncovva]=Tvard[k1][1]; /*  age*V6*V3 +age*V7*V3 + age*V6*V4 +age*V7*V4  */
           TvarVVAind[ncovva]=k;
           ncovva++;
           TvarVVA[ncovva]=Tvard[k1][2]; /*   */
           TvarVVAind[ncovva]=k;
           ncovta++;
           TvarAVVA[ncovta]=Tvard[k1][1]; /*   age*V6*V3 +age*V7*V3 + age*V6*V4 +age*V7*V4 */
           TvarAVVAind[ncovta]=k;
           ncovta++;
           TvarAVVA[ncovta]=Tvard[k1][2]; /*   age*V6*V3 +age*V7*V3 + age*V6*V4 +age*V7*V4 */
           TvarAVVAind[ncovta]=k;
         }
         if(Tvard[k1][1] <=ncovcol){ /* Vn is dummy fixed, (Tvard[1][1]=V1), (Tvard[1][1]=V3 time varying) */
           if(Tvard[k1][2] <=ncovcol){ /* Vm is dummy fixed */
             Fixed[k]= 2;
             Dummy[k]= 2;
             modell[k].maintype= FTYPE;
             modell[k].subtype= FPDD;              /*      Product fixed dummy * fixed dummy */
             /* TvarF[ncova]=Tvar[k];   /\* Problem to solve *\/ */
             /* TvarFind[ncova]=k; */
           }else if(Tvard[k1][2] <=ncovcol+nqv){ /* Vm is quanti fixed */
             Fixed[k]= 2;  /* Fixed product */
             Dummy[k]= 3;
             modell[k].maintype= FTYPE;
             modell[k].subtype= FPDQ;              /*      Product fixed dummy * fixed quantitative */
             /* TvarF[ncova]=Tvar[k]; */
             /* TvarFind[ncova]=k; */
           }else if(Tvard[k1][2] <=ncovcol+nqv+ntv){ /* Vm is a time varying dummy covariate */
             Fixed[k]= 3;
             Dummy[k]= 2;
             modell[k].maintype= VTYPE;
             modell[k].subtype= VPDD;              /*      Product fixed dummy * varying dummy */
             TvarV[ncova]=Tvar[k];  /* TvarV[1]=Tvar[5]=5 because there is a V4 */
             TvarVind[ncova]=k;/* TvarVind[1]=5 */ 
           }else if(Tvard[k1][2] <=ncovcol+nqv+ntv+nqtv){ /* Vm is a time varying quantitative covariate */
             Fixed[k]= 3;
             Dummy[k]= 3;
             modell[k].maintype= VTYPE;
             modell[k].subtype= VPDQ;              /*      Product fixed dummy * varying quantitative */
             /* ncovv++; /\* Varying variables without age *\/ */
             /* TvarV[ncovv]=Tvar[k]; */
             /* TvarVind[ncovv]=k; */
           }
         }else if(Tvard[k1][1] <=ncovcol+nqv){ /* Vn is fixed quanti  */
           if(Tvard[k1][2] <=ncovcol){ /* Vm is fixed dummy */
             Fixed[k]= 2;  /*  Fixed product */
             Dummy[k]= 2;
             modell[k].maintype= FTYPE;
             modell[k].subtype= FPDQ;              /*      Product fixed quantitative * fixed dummy */
             /* ncova++; /\* Fixed variables with age *\/ */
             /* TvarF[ncovf]=Tvar[k]; */
             /* TvarFind[ncovf]=k; */
           }else if(Tvard[k1][2] <=ncovcol+nqv+ntv){ /* Vm is time varying */
             Fixed[k]= 2;
             Dummy[k]= 3;
             modell[k].maintype= VTYPE;
             modell[k].subtype= VPDQ;              /*      Product fixed quantitative * varying dummy */
             /* ncova++; /\* Varying variables with age *\/ */
             /* TvarV[ncova]=Tvar[k]; */
             /* TvarVind[ncova]=k; */
           }else if(Tvard[k1][2] <=ncovcol+nqv+ntv+nqtv){ /* Vm is time varying quanti */
             Fixed[k]= 3;
             Dummy[k]= 2;
             modell[k].maintype= VTYPE;
             modell[k].subtype= VPQQ;              /*      Product fixed quantitative * varying quantitative */
             ncova++; /* Varying variables without age */
             TvarV[ncova]=Tvar[k];
             TvarVind[ncova]=k;
             /* ncova++; /\* Varying variables without age *\/ */
             /* TvarV[ncova]=Tvar[k]; */
             /* TvarVind[ncova]=k; */
           }
         }else if(Tvard[k1][1] <=ncovcol+nqv+ntv){ /* Vn is time varying dummy */
           if(Tvard[k1][2] <=ncovcol){
             Fixed[k]= 2;
             Dummy[k]= 2;
             modell[k].maintype= VTYPE;
             modell[k].subtype= VPDD;              /*      Product time varying dummy * fixed dummy */
             /* ncova++; /\* Varying variables with age *\/ */
             /* TvarV[ncova]=Tvar[k]; */
             /* TvarVind[ncova]=k; */
           }else if(Tvard[k1][2] <=ncovcol+nqv){
             Fixed[k]= 2;
             Dummy[k]= 3;
             modell[k].maintype= VTYPE;
             modell[k].subtype= VPDQ;              /*      Product time varying dummy * fixed quantitative */
             /* ncova++; /\* Varying variables with age *\/ */
             /* TvarV[ncova]=Tvar[k]; */
             /* TvarVind[ncova]=k; */
           }else if(Tvard[k1][2] <=ncovcol+nqv+ntv){
             Fixed[k]= 3;
             Dummy[k]= 2;
             modell[k].maintype= VTYPE;
             modell[k].subtype= VPDD;              /*      Product time varying dummy * time varying dummy */
             /* ncova++; /\* Varying variables with age *\/ */
             /* TvarV[ncova]=Tvar[k]; */
             /* TvarVind[ncova]=k; */
           }else if(Tvard[k1][2] <=ncovcol+nqv+ntv+nqtv){
             Fixed[k]= 3;
             Dummy[k]= 3;
             modell[k].maintype= VTYPE;
             modell[k].subtype= VPDQ;              /*      Product time varying dummy * time varying quantitative */
             /* ncova++; /\* Varying variables with age *\/ */
             /* TvarV[ncova]=Tvar[k]; */
             /* TvarVind[ncova]=k; */
           }
         }else if(Tvard[k1][1] <=ncovcol+nqv+ntv+nqtv){ /* Vn is time varying quanti */
           if(Tvard[k1][2] <=ncovcol){
             Fixed[k]= 2;
             Dummy[k]= 2;
             modell[k].maintype= VTYPE;
             modell[k].subtype= VPDQ;              /*      Product time varying quantitative * fixed dummy */
             /* ncova++; /\* Varying variables with age *\/ */
             /* TvarV[ncova]=Tvar[k]; */
             /* TvarVind[ncova]=k; */
           }else if(Tvard[k1][2] <=ncovcol+nqv){
             Fixed[k]= 2;
             Dummy[k]= 3;
             modell[k].maintype= VTYPE;
             modell[k].subtype= VPQQ;              /*      Product time varying quantitative * fixed quantitative */
             /* ncova++; /\* Varying variables with age *\/ */
             /* TvarV[ncova]=Tvar[k]; */
             /* TvarVind[ncova]=k; */
           }else if(Tvard[k1][2] <=ncovcol+nqv+ntv){
             Fixed[k]= 3;
             Dummy[k]= 2;
             modell[k].maintype= VTYPE;
             modell[k].subtype= VPDQ;              /*      Product time varying quantitative * time varying dummy */
             /* ncova++; /\* Varying variables with age *\/ */
             /* TvarV[ncova]=Tvar[k]; */
             /* TvarVind[ncova]=k; */
           }else if(Tvard[k1][2] <=ncovcol+nqv+ntv+nqtv){
             Fixed[k]= 3;
             Dummy[k]= 3;
             modell[k].maintype= VTYPE;
             modell[k].subtype= VPQQ;              /*      Product time varying quantitative * time varying quantitative */
             /* ncova++; /\* Varying variables with age *\/ */
             /* TvarV[ncova]=Tvar[k]; */
             /* TvarVind[ncova]=k; */
           }
         }else{
           printf("Error unknown type of covariate: Tvard[%d][1]=%d,Tvard[%d][2]=%d\n",k1,Tvard[k1][1],k1,Tvard[k1][2]);
           fprintf(ficlog,"Error unknown type of covariate: Tvard[%d][1]=%d,Tvard[%d][2]=%d\n",k1,Tvard[k1][1],k1,Tvard[k1][2]);
         } /*end k1*/
       } else{
         printf("Error, current version can't treat for performance reasons, Tvar[%d]=%d, Typevar[%d]=%d\n", k, Tvar[k], k, Typevar[k]);
         fprintf(ficlog,"Error, current version can't treat for performance reasons, Tvar[%d]=%d, Typevar[%d]=%d\n", k, Tvar[k], k, Typevar[k]);
       }
       /* printf("Decodemodel, k=%d, Tvar[%d]=V%d,Typevar=%d, Fixed=%d, Dummy=%d\n",k, k,Tvar[k],Typevar[k],Fixed[k],Dummy[k]); */
       /* printf("           modell[%d].maintype=%d, modell[%d].subtype=%d\n",k,modell[k].maintype,k,modell[k].subtype); */
       fprintf(ficlog,"Decodemodel, k=%d, Tvar[%d]=V%d,Typevar=%d, Fixed=%d, Dummy=%d\n",k, k,Tvar[k],Typevar[k],Fixed[k],Dummy[k]);
     }
     ncovvta=ncovva;
     /* 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[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=1+age+%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=1+age+%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){
             k3=Tposprod[k1];
             k4=Tposprod[k2];
             if( ((Tvard[k3][1]== Tvard[k4][1])&&(Tvard[k3][2]== Tvard[k4][2])) || ((Tvard[k3][1]== Tvard[k4][2])&&(Tvard[k3][2]== Tvard[k4][1])) ){
               printf("Error duplication in the model=1+age+%s at positions (+) %d and %d, V%d*V%d, Typevar=%d, Fixed=%d, Dummy=%d\n",model, k1,k2, Tvard[k3][1], Tvard[k3][2],Typevar[k1],Fixed[Tvar[k1]],Dummy[Tvar[k1]]);
               fprintf(ficlog,"Error duplication in the model=1+age+%s at positions (+) %d and %d, V%d*V%d, Typevar=%d, Fixed=%d, Dummy=%d\n",model, k1,k2, Tvard[k3][1], Tvard[k3][2],Typevar[k1],Fixed[Tvar[k1]],Dummy[Tvar[k1]]); fflush(ficlog);
               return(1);
             }
           }
         }
       }
     }
     printf("ncoveff=%d, nqfveff=%d, ntveff=%d, nqtveff=%d, cptcovn=%d\n",ncoveff,nqfveff,ntveff,nqtveff,cptcovn);
     fprintf(ficlog,"ncoveff=%d, nqfveff=%d, ntveff=%d, nqtveff=%d, cptcovn=%d\n",ncoveff,nqfveff,ntveff,nqtveff,cptcovn);
     printf("ncovf=%d, ncovv=%d, ncova=%d, nsd=%d, nsq=%d\n",ncovf,ncovv,ncova,nsd,nsq);
     fprintf(ficlog,"ncovf=%d, ncovv=%d, ncova=%d, nsd=%d, nsq=%d\n",ncovf,ncovv,ncova,nsd, nsq);
   
     free_imatrix(existcomb,1,NCOVMAX,1,NCOVMAX);
   return (0); /* with covar[new additional covariate if product] and Tage if age */     return (0); /* with covar[new additional covariate if product] and Tage if age */ 
   endread:    /*endread:*/
     printf("Exiting decodemodel: ");    printf("Exiting decodemodel: ");
     return (1);    return (1);
 }  }
   
 calandcheckages(int imx, int maxwav, double *agemin, double *agemax, int *nberr, int *nbwarn )  int calandcheckages(int imx, int maxwav, double *agemin, double *agemax, int *nberr, int *nbwarn )
 {  {/* Check ages at death */
   int i, m;    int i, m;
     int firstone=0;
     
   for (i=1; i<=imx; i++) {    for (i=1; i<=imx; i++) {
     for(m=2; (m<= maxwav); m++) {      for(m=2; (m<= maxwav); m++) {
       if (((int)mint[m][i]== 99) && (s[m][i] <= nlstate)){        if (((int)mint[m][i]== 99) && (s[m][i] <= nlstate)){
         anint[m][i]=9999;          anint[m][i]=9999;
         s[m][i]=-1;          if (s[m][i] != -2) /* Keeping initial status of unknown vital status */
             s[m][i]=-1;
       }        }
       if((int)moisdc[i]==99 && (int)andc[i]==9999 && s[m][i]>nlstate){        if((int)moisdc[i]==99 && (int)andc[i]==9999 && s[m][i]>nlstate){
         *nberr++;          *nberr = *nberr + 1;
         printf("Error! Date of death (month %2d and year %4d) of individual %ld on line %d was unknown, you must set an arbitrary year of death or he/she is skipped and results are biased\n",(int)moisdc[i],(int)andc[i],num[i],i);          if(firstone == 0){
         fprintf(ficlog,"Error! Date of death (month %2d and year %4d) of individual %ld on line %d was unknown, you must set an arbitrary year of death or he/she is skipped and results are biased\n",(int)moisdc[i],(int)andc[i],num[i],i);            firstone=1;
         s[m][i]=-1;          printf("Warning (#%d)! Date of death (month %2d and year %4d) of individual %ld on line %d was unknown but status is a death state %d at wave %d. If you don't know the vital status, please enter -2. If he/she is still alive but don't know the state, please code with '-1 or '.'. Here, we do not believe in a death, skipped.\nOther similar cases in log file\n", *nberr,(int)moisdc[i],(int)andc[i],num[i],i,s[m][i],m);
           }
           fprintf(ficlog,"Warning (#%d)! Date of death (month %2d and year %4d) of individual %ld on line %d was unknown but status is a death state %d at wave %d. If you don't know the vital status, please enter -2. If he/she is still alive but don't know the state, please code with '-1 or '.'. Here, we do not believe in a death, skipped.\n", *nberr,(int)moisdc[i],(int)andc[i],num[i],i,s[m][i],m);
           s[m][i]=-1;  /* Droping the death status */
       }        }
       if((int)moisdc[i]==99 && (int)andc[i]!=9999 && s[m][i]>nlstate){        if((int)moisdc[i]==99 && (int)andc[i]!=9999 && s[m][i]>nlstate){
         *nberr++;          (*nberr)++;
         printf("Error! Month of death of individual %ld on line %d was unknown %2d, you should set it otherwise the information on the death is skipped and results are biased.\n",num[i],i,(int)moisdc[i]);           printf("Error (#%d)! Month of death of individual %ld on line %d was unknown (%2d) (year of death is %4d) and status is a death state %d at wave %d. Please impute an arbitrary (or not) month and rerun. Currently this transition to death will be skipped (status is set to -2).\nOther similar cases in log file\n", *nberr, num[i],i,(int)moisdc[i],(int)andc[i],s[m][i],m);
         fprintf(ficlog,"Error! Month of death of individual %ld on line %d was unknown %f, you should set it otherwise the information on the death is skipped and results are biased.\n",num[i],i,moisdc[i]);           fprintf(ficlog,"Error (#%d)! Month of death of individual %ld on line %d was unknown (%2d) (year of death is %4d) and status is a death state %d at wave %d. Please impute an arbitrary (or not) month and rerun. Currently this transition to death will be skipped (status is set to -2).\n", *nberr, num[i],i,(int)moisdc[i],(int)andc[i],s[m][i],m);
         s[m][i]=-1; /* We prefer to skip it (and to skip it in version 0.8a1 too */          s[m][i]=-2; /* We prefer to skip it (and to skip it in version 0.8a1 too */
       }        }
     }      }
   }    }
Line 5126  calandcheckages(int imx, int maxwav, dou Line 12346  calandcheckages(int imx, int maxwav, dou
   for (i=1; i<=imx; i++)  {    for (i=1; i<=imx; i++)  {
     agedc[i]=(moisdc[i]/12.+andc[i])-(moisnais[i]/12.+annais[i]);      agedc[i]=(moisdc[i]/12.+andc[i])-(moisnais[i]/12.+annais[i]);
     for(m=firstpass; (m<= lastpass); m++){      for(m=firstpass; (m<= lastpass); m++){
       if(s[m][i] >0 || s[m][i]==-2 || s[m][i]==-4 || s[m][i]==-5){        if(s[m][i] >0  || s[m][i]==-1 || s[m][i]==-2 || s[m][i]==-4 || s[m][i]==-5){ /* What if s[m][i]=-1 */
         if (s[m][i] >= nlstate+1) {          if (s[m][i] >= nlstate+1) {
           if(agedc[i]>0)            if(agedc[i]>0){
             if((int)moisdc[i]!=99 && (int)andc[i]!=9999)              if((int)moisdc[i]!=99 && (int)andc[i]!=9999){
               agev[m][i]=agedc[i];                agev[m][i]=agedc[i];
           /*if(moisdc[i]==99 && andc[i]==9999) s[m][i]=-1;*/                /*if(moisdc[i]==99 && andc[i]==9999) s[m][i]=-1;*/
             else {              }else {
               if ((int)andc[i]!=9999){                if ((int)andc[i]!=9999){
                 nbwarn++;                  nbwarn++;
                 printf("Warning negative age at death: %ld line:%d\n",num[i],i);                  printf("Warning negative age at death: %ld line:%d\n",num[i],i);
Line 5140  calandcheckages(int imx, int maxwav, dou Line 12360  calandcheckages(int imx, int maxwav, dou
                 agev[m][i]=-1;                  agev[m][i]=-1;
               }                }
             }              }
         }            } /* agedc > 0 */
           } /* end if */
         else if(s[m][i] !=9){ /* Standard case, age in fractional          else if(s[m][i] !=9){ /* Standard case, age in fractional
                                  years but with the precision of a month */                                   years but with the precision of a month */
           agev[m][i]=(mint[m][i]/12.+1./24.+anint[m][i])-(moisnais[i]/12.+1./24.+annais[i]);            agev[m][i]=(mint[m][i]/12.+1./24.+anint[m][i])-(moisnais[i]/12.+1./24.+annais[i]);
Line 5152  calandcheckages(int imx, int maxwav, dou Line 12373  calandcheckages(int imx, int maxwav, dou
           }            }
           else if(agev[m][i] >*agemax){            else if(agev[m][i] >*agemax){
             *agemax=agev[m][i];              *agemax=agev[m][i];
             printf(" Max anint[%d][%d]=%.0f annais[%d]=%.0f, agemax=%.2f\n",m,i,anint[m][i], i,annais[i], *agemax);              /* printf(" Max anint[%d][%d]=%.0f annais[%d]=%.0f, agemax=%.2f\n",m,i,anint[m][i], i,annais[i], *agemax);*/
           }            }
           /*agev[m][i]=anint[m][i]-annais[i];*/            /*agev[m][i]=anint[m][i]-annais[i];*/
           /*     agev[m][i] = age[i]+2*m;*/            /*     agev[m][i] = age[i]+2*m;*/
         }          } /* en if 9*/
         else { /* =9 */          else { /* =9 */
             /* printf("Debug num[%d]=%ld s[%d][%d]=%d\n",i,num[i], m,i, s[m][i]); */
           agev[m][i]=1;            agev[m][i]=1;
           s[m][i]=-1;            s[m][i]=-1;
         }          }
       }        }
       else /*= 0 Unknown */        else if(s[m][i]==0) /*= 0 Unknown */
         agev[m][i]=1;          agev[m][i]=1;
     }        else{
               printf("Warning, num[%d]=%ld, s[%d][%d]=%d\n", i, num[i], m, i,s[m][i]); 
           fprintf(ficlog, "Warning, num[%d]=%ld, s[%d][%d]=%d\n", i, num[i], m, i,s[m][i]); 
           agev[m][i]=0;
         }
       } /* End for lastpass */
   }    }
       
   for (i=1; i<=imx; i++)  {    for (i=1; i<=imx; i++)  {
     for(m=firstpass; (m<=lastpass); m++){      for(m=firstpass; (m<=lastpass); m++){
       if (s[m][i] > (nlstate+ndeath)) {        if (s[m][i] > (nlstate+ndeath)) {
         *nberr++;          (*nberr)++;
         printf("Error: on wave %d of individual %d status %d > (nlstate+ndeath)=(%d+%d)=%d\n",m,i,s[m][i],nlstate, ndeath, nlstate+ndeath);               printf("Error: on wave %d of individual %d status %d > (nlstate+ndeath)=(%d+%d)=%d\n",m,i,s[m][i],nlstate, ndeath, nlstate+ndeath);     
         fprintf(ficlog,"Error: on wave %d of individual %d status %d > (nlstate+ndeath)=(%d+%d)=%d\n",m,i,s[m][i],nlstate, ndeath, nlstate+ndeath);               fprintf(ficlog,"Error: on wave %d of individual %d status %d > (nlstate+ndeath)=(%d+%d)=%d\n",m,i,s[m][i],nlstate, ndeath, nlstate+ndeath);     
         return 1;          return 1;
Line 5190  calandcheckages(int imx, int maxwav, dou Line 12417  calandcheckages(int imx, int maxwav, dou
   fprintf(ficlog,"Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, *agemin, *agemax);     fprintf(ficlog,"Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, *agemin, *agemax); 
   
   return (0);    return (0);
   endread:   /* endread:*/
     printf("Exiting calandcheckages: ");      printf("Exiting calandcheckages: ");
     return (1);      return (1);
 }  }
   
   #if defined(_MSC_VER)
   /*printf("Visual C++ compiler: %s \n;", _MSC_FULL_VER);*/
   /*fprintf(ficlog, "Visual C++ compiler: %s \n;", _MSC_FULL_VER);*/
   //#include "stdafx.h"
   //#include <stdio.h>
   //#include <tchar.h>
   //#include <windows.h>
   //#include <iostream>
   typedef BOOL(WINAPI *LPFN_ISWOW64PROCESS) (HANDLE, PBOOL);
   
   LPFN_ISWOW64PROCESS fnIsWow64Process;
   
   BOOL IsWow64()
   {
           BOOL bIsWow64 = FALSE;
   
           //typedef BOOL (APIENTRY *LPFN_ISWOW64PROCESS)
           //  (HANDLE, PBOOL);
   
           //LPFN_ISWOW64PROCESS fnIsWow64Process;
   
           HMODULE module = GetModuleHandle(_T("kernel32"));
           const char funcName[] = "IsWow64Process";
           fnIsWow64Process = (LPFN_ISWOW64PROCESS)
                   GetProcAddress(module, funcName);
   
           if (NULL != fnIsWow64Process)
           {
                   if (!fnIsWow64Process(GetCurrentProcess(),
                           &bIsWow64))
                           //throw std::exception("Unknown error");
                           printf("Unknown error\n");
           }
           return bIsWow64 != FALSE;
   }
   #endif
   
   void syscompilerinfo(int logged)
   {
   #include <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
         "_CONSOLE" /D "_LIB" /D "_USING_V110_SDK71_" /D "_UNICODE" /D
         "UNICODE" /Qipo /Zc:forScope /Gd /Oi /MT /Fa"Release\" /EHsc /nologo
         /Fo"Release\" /Qprof-dir "Release\" /Fp"Release\IMaCh.pch"
      */ 
      /* 64 bits */
      /*
        /GS /W3 /Gy
        /Zc:wchar_t /Zi /O2 /Fd"x64\Release\vc120.pdb" /D "WIN32" /D "NDEBUG"
        /D "_CONSOLE" /D "_LIB" /D "_UNICODE" /D "UNICODE" /Qipo /Zc:forScope
        /Oi /MD /Fa"x64\Release\" /EHsc /nologo /Fo"x64\Release\" /Qprof-dir
        "x64\Release\" /Fp"x64\Release\IMaCh.pch" */
      /* Optimization are useless and O3 is slower than O2 */
      /*
        /GS /W3 /Gy /Zc:wchar_t /Zi /O3 /Fd"x64\Release\vc120.pdb" /D "WIN32" 
        /D "NDEBUG" /D "_CONSOLE" /D "_LIB" /D "_UNICODE" /D "UNICODE" /Qipo 
        /Zc:forScope /Oi /MD /Fa"x64\Release\" /EHsc /nologo /Qparallel 
        /Fo"x64\Release\" /Qprof-dir "x64\Release\" /Fp"x64\Release\IMaCh.pch" 
      */
      /* Link is */ /* /OUT:"visual studio
         2013\Projects\IMaCh\Release\IMaCh.exe" /MANIFEST /NXCOMPAT
         /PDB:"visual studio
         2013\Projects\IMaCh\Release\IMaCh.pdb" /DYNAMICBASE
         "kernel32.lib" "user32.lib" "gdi32.lib" "winspool.lib"
         "comdlg32.lib" "advapi32.lib" "shell32.lib" "ole32.lib"
         "oleaut32.lib" "uuid.lib" "odbc32.lib" "odbccp32.lib"
         /MACHINE:X86 /OPT:REF /SAFESEH /INCREMENTAL:NO
         /SUBSYSTEM:CONSOLE",5.01" /MANIFESTUAC:"level='asInvoker'
         uiAccess='false'"
         /ManifestFile:"Release\IMaCh.exe.intermediate.manifest" /OPT:ICF
         /NOLOGO /TLBID:1
      */
   
   
   #if defined __INTEL_COMPILER
   #if defined(__GNUC__)
           struct utsname sysInfo;  /* For Intel on Linux and OS/X */
   #endif
   #elif defined(__GNUC__) 
   #ifndef  __APPLE__
   #include <gnu/libc-version.h>  /* Only on gnu */
   #endif
      struct utsname sysInfo;
      int cross = CROSS;
      if (cross){
              printf("Cross-");
              if(logged) fprintf(ficlog, "Cross-");
      }
   #endif
   
      printf("Compiled with:");if(logged)fprintf(ficlog,"Compiled with:");
   #if defined(__clang__)
      printf(" Clang/LLVM");if(logged)fprintf(ficlog," Clang/LLVM");       /* Clang/LLVM. ---------------------------------------------- */
   #endif
   #if defined(__ICC) || defined(__INTEL_COMPILER)
      printf(" Intel ICC/ICPC");if(logged)fprintf(ficlog," Intel ICC/ICPC");/* Intel ICC/ICPC. ------------------------------------------ */
   #endif
   #if defined(__GNUC__) || defined(__GNUG__)
      printf(" GNU GCC/G++");if(logged)fprintf(ficlog," GNU GCC/G++");/* GNU GCC/G++. --------------------------------------------- */
   #endif
   #if defined(__HP_cc) || defined(__HP_aCC)
      printf(" Hewlett-Packard C/aC++");if(logged)fprintf(fcilog," Hewlett-Packard C/aC++"); /* Hewlett-Packard C/aC++. ---------------------------------- */
   #endif
   #if defined(__IBMC__) || defined(__IBMCPP__)
      printf(" IBM XL C/C++"); if(logged) fprintf(ficlog," IBM XL C/C++");/* IBM XL C/C++. -------------------------------------------- */
   #endif
   #if defined(_MSC_VER)
      printf(" Microsoft Visual Studio");if(logged)fprintf(ficlog," Microsoft Visual Studio");/* Microsoft Visual Studio. --------------------------------- */
   #endif
   #if defined(__PGI)
      printf(" Portland Group PGCC/PGCPP");if(logged) fprintf(ficlog," Portland Group PGCC/PGCPP");/* Portland Group PGCC/PGCPP. ------------------------------- */
   #endif
   #if defined(__SUNPRO_C) || defined(__SUNPRO_CC)
      printf(" Oracle Solaris Studio");if(logged)fprintf(ficlog," Oracle Solaris Studio\n");/* Oracle Solaris Studio. ----------------------------------- */
   #endif
      printf(" for "); if (logged) fprintf(ficlog, " for ");
      
   // http://stackoverflow.com/questions/4605842/how-to-identify-platform-compiler-from-preprocessor-macros
   #ifdef _WIN32 // note the underscore: without it, it's not msdn official!
       // Windows (x64 and x86)
      printf("Windows (x64 and x86) ");if(logged) fprintf(ficlog,"Windows (x64 and x86) ");
   #elif __unix__ // all unices, not all compilers
       // Unix
      printf("Unix ");if(logged) fprintf(ficlog,"Unix ");
   #elif __linux__
       // linux
      printf("linux ");if(logged) fprintf(ficlog,"linux ");
   #elif __APPLE__
       // Mac OS, not sure if this is covered by __posix__ and/or __unix__ though..
      printf("Mac OS ");if(logged) fprintf(ficlog,"Mac OS ");
   #endif
   
   /*  __MINGW32__   */
   /*  __CYGWIN__   */
   /* __MINGW64__  */
   // http://msdn.microsoft.com/en-us/library/b0084kay.aspx
   /* _MSC_VER  //the Visual C++ compiler is 17.00.51106.1, the _MSC_VER macro evaluates to 1700. Type cl /?  */
   /* _MSC_FULL_VER //the Visual C++ compiler is 15.00.20706.01, the _MSC_FULL_VER macro evaluates to 150020706 */
   /* _WIN64  // Defined for applications for Win64. */
   /* _M_X64 // Defined for compilations that target x64 processors. */
   /* _DEBUG // Defined when you compile with /LDd, /MDd, and /MTd. */
   
   #if UINTPTR_MAX == 0xffffffff
      printf(" 32-bit"); if(logged) fprintf(ficlog," 32-bit");/* 32-bit */
   #elif UINTPTR_MAX == 0xffffffffffffffff
      printf(" 64-bit"); if(logged) fprintf(ficlog," 64-bit");/* 64-bit */
   #else
      printf(" wtf-bit"); if(logged) fprintf(ficlog," wtf-bit");/* wtf */
   #endif
   
   #if defined(__GNUC__)
   # if defined(__GNUC_PATCHLEVEL__)
   #  define __GNUC_VERSION__ (__GNUC__ * 10000 \
                               + __GNUC_MINOR__ * 100 \
                               + __GNUC_PATCHLEVEL__)
   # else
   #  define __GNUC_VERSION__ (__GNUC__ * 10000 \
                               + __GNUC_MINOR__ * 100)
   # endif
      printf(" using GNU C version %d.\n", __GNUC_VERSION__);
      if(logged) fprintf(ficlog, " using GNU C version %d.\n", __GNUC_VERSION__);
   
      if (uname(&sysInfo) != -1) {
        printf("Running on: %s %s %s %s %s\n",sysInfo.sysname, sysInfo.nodename, sysInfo.release, sysInfo.version, sysInfo.machine);
            if(logged) fprintf(ficlog,"Running on: %s %s %s %s %s\n ",sysInfo.sysname, sysInfo.nodename, sysInfo.release, sysInfo.version, sysInfo.machine);
      }
      else
         perror("uname() error");
      //#ifndef __INTEL_COMPILER 
   #if !defined (__INTEL_COMPILER) && !defined(__APPLE__)
      printf("GNU libc version: %s\n", gnu_get_libc_version()); 
      if(logged) fprintf(ficlog,"GNU libc version: %s\n", gnu_get_libc_version());
   #endif
   #endif
   
      //   void main ()
      //   {
   #if defined(_MSC_VER)
      if (IsWow64()){
              printf("\nThe program (probably compiled for 32bit) is running under WOW64 (64bit) emulation.\n");
              if (logged) fprintf(ficlog, "\nThe program (probably compiled for 32bit) is running under WOW64 (64bit) emulation.\n");
      }
      else{
              printf("\nThe program is not running under WOW64 (i.e probably on a 64bit Windows).\n");
              if (logged) fprintf(ficlog, "\nThe programm is not running under WOW64 (i.e probably on a 64bit Windows).\n");
      }
      //      printf("\nPress Enter to continue...");
      //      getchar();
      //   }
   
   #endif
      
   
   }
   
   int prevalence_limit(double *p, double **prlim, double ageminpar, double agemaxpar, double ftolpl, int *ncvyearp){
     /*--------------- 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;
     double tot;
   
     strcpy(filerespl,"PL_");
     strcat(filerespl,fileresu);
     if((ficrespl=fopen(filerespl,"w"))==NULL) {
       printf("Problem with forward 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 forward 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,"# 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");
     
     /* prlim=matrix(1,nlstate,1,nlstate);*/ /* back in main */
   
     agebase=ageminpar;
     agelim=agemaxpar;
   
     /* i1=pow(2,ncoveff); */
     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(nres=1; nres <= nresult; nres++){ /* For each resultline */
         k=TKresult[nres];
         if(TKresult[nres]==0) k=1; /* To be checked for noresult */
         /* 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));*/
         fprintf(ficrespl,"#******");
         printf("#******");
         fprintf(ficlog,"#******");
         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,Tvaraff[j])]); /\* Here problem for varying dummy*\/ */
           /* 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,TnsdVar[Tvaraff[j]])]); */
           fprintf(ficrespl," 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=%lg ",Tvresult[nres][j],TinvDoQresult[nres][Tvresult[nres][j]]);
         }
         /* 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");
         if(invalidvarcomb[k]){
           printf("\nCombination (%d) ignored because no case \n",k); 
           fprintf(ficrespl,"#Combination (%d) ignored because no case \n",k); 
           fprintf(ficlog,"\nCombination (%d) ignored because no case \n",k); 
           continue;
         }
   
         fprintf(ficrespl,"#Age ");
         /* for(j=1;j<=cptcoveff;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++){ */
           /**< 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++) */
           /*   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];
             fprintf(ficrespl," %.5f", prlim[i][i]);
           }
           fprintf(ficrespl," %.3f %d\n", tot, *ncvyearp);
         } /* Age */
         /* was end of cptcod */
       } /* 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  (backward stable prevalence) --------------*/
           
           /* Computes the back prevalence limit  for any combination      of covariate values 
      * at any age between ageminpar and agemaxpar
            */
     int i, j, k, i1, nres=0 ;
     /* double ftolpl = 1.e-10; */
     double age, agebase, agelim;
     double tot;
     /* double ***mobaverage; */
     /* double      **dnewm, **doldm, **dsavm;  /\* for use *\/ */
   
     strcpy(fileresplb,"PLB_");
     strcat(fileresplb,fileresu);
     if((ficresplb=fopen(fileresplb,"w"))==NULL) {
       printf("Problem with backward prevalence resultfile: %s\n", fileresplb);return 1;
       fprintf(ficlog,"Problem with backward prevalence resultfile: %s\n", fileresplb);return 1;
     }
     printf("Computing backward prevalence: result on file '%s' \n", fileresplb);
     fprintf(ficlog,"Computing backward prevalence: result on file '%s' \n", fileresplb);
     pstamp(ficresplb);
     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");
     
     
     /* prlim=matrix(1,nlstate,1,nlstate);*/ /* back in main */
     
     agebase=ageminpar;
     agelim=agemaxpar;
     
     
     i1=pow(2,cptcoveff);
     if (cptcovn < 1){i1=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(TKresult[nres]==0) k=1; /* To be checked for noresult */
        /* if(i1 != 1 && TKresult[nres]!= k) */
        /*         continue; */
        /* /\*printf("cptcov=%d cptcod=%d codtab=%d\n",cptcov, cptcod,codtabm(cptcod,cptcov));*\/ */
         fprintf(ficresplb,"#******");
         printf("#******");
         fprintf(ficlog,"#******");
         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) */
           printf(" V%d=%lg ",Tvresult[nres][j],TinvDoQresult[nres][Tvresult[nres][j]]);
           fprintf(ficresplb," V%d=%lg ",Tvresult[nres][j],TinvDoQresult[nres][Tvresult[nres][j]]);
           fprintf(ficlog," V%d=%lg ",Tvresult[nres][j],TinvDoQresult[nres][Tvresult[nres][j]]);
         }
         /* for(j=1;j<=cptcoveff ;j++) {/\* all covariates *\/ */
         /*        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,TnsdVar[Tvaraff[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][resultmodel[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][resultmodel[nres][j]]); */
         /* } */
         fprintf(ficresplb,"******\n");
         printf("******\n");
         fprintf(ficlog,"******\n");
         if(invalidvarcomb[k]){
           printf("\nCombination (%d) ignored because no cases \n",k); 
           fprintf(ficresplb,"#Combination (%d) ignored because no cases \n",k); 
           fprintf(ficlog,"\nCombination (%d) ignored because no cases \n",k); 
           continue;
         }
       
         fprintf(ficresplb,"#Age ");
         for(j=1;j<=cptcovs;j++) {
           fprintf(ficresplb,"V%d %lg ",Tvresult[nres][j],TinvDoQresult[nres][Tvresult[nres][j]]);
         }
         for(i=1; i<=nlstate;i++) fprintf(ficresplb,"  %d-%d   ",i,i);
         fprintf(ficresplb,"Total Years_to_converge\n");
       
       
         for (age=agebase; age<=agelim; age++){
           /* for (age=agebase; age<=agebase; age++){ */
           if(mobilavproj > 0){
             /* bprevalim(bprlim, mobaverage, nlstate, p, age, ageminpar, agemaxpar, oldm, savm, doldm, dsavm, ftolpl, ncvyearp, k); */
             /* bprevalim(bprlim, mobaverage, nlstate, p, age, oldm, savm, dnewm, doldm, dsavm, ftolpl, ncvyearp, k); */
             bprevalim(bprlim, mobaverage, nlstate, p, age, ftolpl, ncvyearp, k, nres);
           }else if (mobilavproj == 0){
             printf("There is no chance to get back prevalence limit if data aren't non zero and summing to 1, please try a non null mobil_average(=%d) parameter or mobil_average=-1 if you want to try at your own risk.\n",mobilavproj);
             fprintf(ficlog,"There is no chance to get back prevalence limit if data aren't non zero and summing to 1, please try a non null mobil_average(=%d) parameter or mobil_average=-1 if you want to try at your own risk.\n",mobilavproj);
             exit(1);
           }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<=cptcovs;j++)
             fprintf(ficresplb,"%d %lg ",Tvresult[nres][j],TinvDoQresult[nres][Tvresult[nres][j]]);
           tot=0.;
           for(i=1; i<=nlstate;i++){
             tot +=  bprlim[i][i];
             fprintf(ficresplb," %.5f", bprlim[i][i]);
           }
           fprintf(ficresplb," %.3f %d\n", tot, *ncvyearp);
         } /* Age */
         /* was end of cptcod */
         /*fprintf(ficresplb,"\n");*/ /* Seems to be necessary for gnuplot only if two result lines and no covariate. */
       /* } /\* end of any combination *\/ */
     } /* end of nres */  
     /* hBijx(p, bage, fage); */
     /* fclose(ficrespijb); */
     
     return 0;
   }
    
   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;
     int nhstepm;
     int h, i, i1, j, k, k4, nres=0;
   
     double agedeb;
     double ***p3mat;
   
     strcpy(filerespij,"PIJ_");  strcat(filerespij,fileresu);
     if((ficrespij=fopen(filerespij,"w"))==NULL) {
       printf("Problem with Pij resultfile: %s\n", filerespij); return 1;
       fprintf(ficlog,"Problem with Pij resultfile: %s\n", filerespij); return 1;
     }
     printf("Computing pij: result on file '%s' \n", filerespij);
     fprintf(ficlog,"Computing pij: result on file '%s' \n", filerespij);
     
     stepsize=(int) (stepm+YEARM-1)/YEARM;
     /*if (stepm<=24) stepsize=2;*/
     
     agelim=AGESUP;
     hstepm=stepsize*YEARM; /* Every year of age */
     hstepm=hstepm/stepm; /* Typically 2 years, = 2/6 months = 4 */ 
     
     /* hstepm=1;   aff par mois*/
     pstamp(ficrespij);
     fprintf(ficrespij,"#****** h Pij x Probability to be in state j at age x+h being in i at x ");
     i1= pow(2,cptcoveff);
     /* for(cptcov=1,k=0;cptcov<=i1;cptcov++){ */
     /*    /\*for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*\/ */
     /*    k=k+1;  */
     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
       k=TKresult[nres];
       if(TKresult[nres]==0) k=1; /* To be checked for noresult */
       /* for(k=1; k<=i1;k++){ */
       /* if(i1 != 1 && TKresult[nres]!= k) */
       /*  continue; */
       fprintf(ficrespij,"\n#****** ");
       for(j=1;j<=cptcovs;j++){
         fprintf(ficrespij," V%d=%lg ",Tvresult[nres][j],TinvDoQresult[nres][Tvresult[nres][j]]);
         /* fprintf(ficrespij,"@wV%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,TnsdVar[Tvaraff[j]])]); */
         /* for (k4=1; k4<= nsq; k4++){ /\* For each selected (single) quantitative value *\/ */
         /*        printf(" V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]); */
         /*        fprintf(ficrespij," V%d=%f ",Tvqresult[nres][k4],Tqresult[nres][k4]); */
       }
       fprintf(ficrespij,"******\n");
       
       for (agedeb=fage; agedeb>=bage; agedeb--){ /* If stepm=6 months */
         nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
         nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
         
         /*          nhstepm=nhstepm*YEARM; aff par mois*/
         
         p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
         oldm=oldms;savm=savms;
         hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k, 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," %.5f", p3mat[i][j][h]);
           fprintf(ficrespij,"\n");
         }
         free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
         fprintf(ficrespij,"\n");
       }
     }
     /*}*/
     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;
     int hstepm;
     int nhstepm;
     int h, i, i1, j, k, nres;
           
     double agedeb;
     double ***p3mat;
           
     strcpy(filerespijb,"PIJB_");  strcat(filerespijb,fileresu);
     if((ficrespijb=fopen(filerespijb,"w"))==NULL) {
       printf("Problem with Pij back resultfile: %s\n", filerespijb); return 1;
       fprintf(ficlog,"Problem with Pij back resultfile: %s\n", filerespijb); return 1;
     }
     printf("Computing pij back: result on file '%s' \n", filerespijb);
     fprintf(ficlog,"Computing pij back: result on file '%s' \n", filerespijb);
     
     stepsize=(int) (stepm+YEARM-1)/YEARM;
     /*if (stepm<=24) stepsize=2;*/
     
     /* agelim=AGESUP; */
     ageminl=AGEINF; /* was 30 */
     hstepm=stepsize*YEARM; /* Every year of age */
     hstepm=hstepm/stepm; /* Typically 2 years, = 2/6 months = 4 */
     
     /* hstepm=1;   aff par mois*/
     pstamp(ficrespijb);
     fprintf(ficrespijb,"#****** h Bij x Back probability to be in state i at age x-h being in j at x: B1j+B2j+...=1 ");
     i1= pow(2,cptcoveff);
     /* for(cptcov=1,k=0;cptcov<=i1;cptcov++){ */
     /*    /\*for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*\/ */
     /*    k=k+1;  */
     for(nres=1; nres <= nresult; nres++){ /* For each resultline */
       k=TKresult[nres];
       if(TKresult[nres]==0) k=1; /* To be checked for noresult */
       /* for(k=1; k<=i1;k++){ /\* For any combination of dummy covariates, fixed and varying *\/ */
       /*    if(i1 != 1 && TKresult[nres]!= k) */
       /*  continue; */
       fprintf(ficrespijb,"\n#****** ");
       for(j=1;j<=cptcovs;j++){
         fprintf(ficrespijb," V%d=%lg ",Tvresult[nres][j],TinvDoQresult[nres][Tvresult[nres][j]]);
         /* for(j=1;j<=cptcoveff;j++) */
         /*        fprintf(ficrespijb,"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(ficrespijb," V%d=%f ",Tvqresult[nres][j],Tqresult[nres][resultmodel[nres][j]]); */
       }
       fprintf(ficrespijb,"******\n");
       if(invalidvarcomb[k]){  /* Is it necessary here? */
         fprintf(ficrespijb,"\n#Combination (%d) ignored because no cases \n",k); 
         continue;
       }
       
       /* for (agedeb=fage; agedeb>=bage; agedeb--){ /\* If stepm=6 months *\/ */
       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+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*/
         
         /*          nhstepm=nhstepm*YEARM; aff par mois*/
         
         p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); /* We can't have it at an upper level because of nhstepm */
         /* and memory limitations if stepm is small */
         
         /* 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," %.5f", p3mat[i][j][h]);/* Bug valgrind */
           fprintf(ficrespijb,"\n");
         }
         free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
         fprintf(ficrespijb,"\n");
       } /* end age deb */
       /* } /\* end combination *\/ */
     } /* end nres */
     return 0;
    } /*  hBijx */
   
   
 /***********************************************/  /***********************************************/
 /**************** Main Program *****************/  /**************** Main Program *****************/
Line 5210  int main(int argc, char *argv[]) Line 13027  int main(int argc, char *argv[])
   double ssval;    double ssval;
 #endif  #endif
   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 i,j, k, n=MAXN,iter,m,size=100,cptcode, cptcod;    int i,j, k, iter=0,m,size=100, cptcod; /* Suppressing because nobs */
   int linei, month, year,iout;    /* int i,j, k, n=MAXN,iter=0,m,size=100, cptcod; */
   int jj, ll, li, lj, lk, imk;    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 */    int numlinepar=0; /* Current linenumber of parameter file */
     int num_filled;
   int itimes;    int itimes;
   int NDIM=2;    int NDIM=2;
   int vpopbased=0;    int vpopbased=0;
     int nres=0;
   char ca[32], cb[32], cc[32];    int endishere=0;
     int noffset=0;
     int ncurrv=0; /* Temporary variable */
     
     char ca[32], cb[32];
   /*  FILE *fichtm; *//* Html File */    /*  FILE *fichtm; *//* Html File */
   /* FILE *ficgp;*/ /*Gnuplot File */    /* FILE *ficgp;*/ /*Gnuplot File */
   struct stat info;    struct stat info;
   double agedeb, agefin,hf;    double agedeb=0.;
   double ageminpar=1.e20,agemin=1.e20, agemaxpar=-1.e20, agemax=-1.e20;  
   
   double fret;    double ageminpar=AGEOVERFLOW,agemin=AGEOVERFLOW, agemaxpar=-AGEOVERFLOW, agemax=-AGEOVERFLOW;
   double **xi,tmp,delta;    double ageminout=-AGEOVERFLOW,agemaxout=AGEOVERFLOW; /* Smaller Age range redefined after movingaverage */
   
   double dum; /* Dummy variable */    double fret;
     double dum=0.; /* Dummy variable */
   double ***p3mat;    double ***p3mat;
   double ***mobaverage;    /* double ***mobaverage; */
   int *indx;    double wald;
   char line[MAXLINE], linepar[MAXLINE];  
   char path[MAXLINE],pathc[MAXLINE],pathcd[MAXLINE],pathtot[MAXLINE],model[MAXLINE];    char line[MAXLINE], linetmp[MAXLINE];
     char path[MAXLINE],pathc[MAXLINE],pathcd[MAXLINE],pathtot[MAXLINE];
   
     char  modeltemp[MAXLINE];
     char resultline[MAXLINE], resultlineori[MAXLINE];
     
   char pathr[MAXLINE], pathimach[MAXLINE];     char pathr[MAXLINE], pathimach[MAXLINE]; 
   char **bp, *tok, *val; /* pathtot */    char *tok, *val; /* pathtot */
   int firstobs=1, lastobs=10;    /* int firstobs=1, lastobs=10; /\* nobs = lastobs-firstobs declared globally ;*\/ */
   int sdeb, sfin; /* Status at beginning and end */    int c,  h , cpt, c2;
   int c,  h , cpt,l;    int jl=0;
   int ju,jl, mi;    int i1, j1, jk, stepsize=0;
   int i1,j1, jk,aa,bb, stepsize, ij;    int count=0;
   int jnais,jdc,jint4,jint1,jint2,jint3,*tab;   
     int *tab; 
   int mobilavproj=0 , prevfcast=0 ; /* moving average of prev, If prevfcast=1 prevalence projection */    int mobilavproj=0 , prevfcast=0 ; /* moving average of prev, If prevfcast=1 prevalence projection */
     /* 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 mobilav=0,popforecast=0;
   int hstepm, nhstepm;    int hstepm=0, nhstepm=0;
   int agemortsup;    int agemortsup;
   float  sumlpop=0.;    float  sumlpop=0.;
   double jprev1=1, mprev1=1,anprev1=2000,jprev2=1, mprev2=1,anprev2=2000;    double jprev1=1, mprev1=1,anprev1=2000,jprev2=1, mprev2=1,anprev2=2000;
   double jpyram=1, mpyram=1,anpyram=2000,jpyram1=1, mpyram1=1,anpyram1=2000;    double jpyram=1, mpyram=1,anpyram=2000,jpyram1=1, mpyram1=1,anpyram1=2000;
   
   double bage, fage, age, agelim, agebase;    double bage=0, fage=110., age, agelim=0., agebase=0.;
   double ftolpl=FTOL;    double ftolpl=FTOL;
   double **prlim;    double **prlim;
   double ***param; /* Matrix of parameters */    double **bprlim;
   double  *p;    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 */    double **matcov; /* Matrix of covariance */
     double **hess; /* Hessian matrix */
   double ***delti3; /* Scale */    double ***delti3; /* Scale */
   double *delti; /* Scale */    double *delti; /* Scale */
   double ***eij, ***vareij;    double ***eij, ***vareij;
   double **varpl; /* Variances of prevalence limits by age */    double **varpl; /* Variances of prevalence limits by age */
   
   double *epj, vepp;    double *epj, vepp;
   double kk1, kk2;  
   double dateprev1, dateprev2,jproj1=1,mproj1=1,anproj1=2000,jproj2=1,mproj2=1,anproj2=2000;    double dateprev1, dateprev2;
     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;    double **ximort;
   char *alph[]={"a","a","b","c","d","e"}, str[4]="1234";    char *alph[]={"a","a","b","c","d","e"}, str[4]="1234";
   int *dcwave;    int *dcwave;
   
   char z[1]="c", occ;    char z[1]="c";
   
   /*char  *strt;*/    /*char  *strt;*/
   char strtend[80];    char strtend[80];
   
   long total_usecs;  
    
 /*   setlocale (LC_ALL, ""); */  /*   setlocale (LC_ALL, ""); */
 /*   bindtextdomain (PACKAGE, LOCALEDIR); */  /*   bindtextdomain (PACKAGE, LOCALEDIR); */
 /*   textdomain (PACKAGE); */  /*   textdomain (PACKAGE); */
Line 5281  int main(int argc, char *argv[]) Line 13126  int main(int argc, char *argv[])
 /*   setlocale (LC_MESSAGES, ""); */  /*   setlocale (LC_MESSAGES, ""); */
   
   /*   gettimeofday(&start_time, (struct timezone*)0); */ /* at first time */    /*   gettimeofday(&start_time, (struct timezone*)0); */ /* at first time */
   (void) gettimeofday(&start_time,&tzp);    rstart_time = time(NULL);  
     /*  (void) gettimeofday(&start_time,&tzp);*/
     start_time = *localtime(&rstart_time);
   curr_time=start_time;    curr_time=start_time;
   tm = *localtime(&start_time.tv_sec);    /*tml = *localtime(&start_time.tm_sec);*/
   tmg = *gmtime(&start_time.tv_sec);    /* strcpy(strstart,asctime(&tml)); */
   strcpy(strstart,asctime(&tm));    strcpy(strstart,asctime(&start_time));
   
 /*  printf("Localtime (at start)=%s",strstart); */  /*  printf("Localtime (at start)=%s",strstart); */
 /*  tp.tv_sec = tp.tv_sec +86400; */  /*  tp.tm_sec = tp.tm_sec +86400; */
 /*  tm = *localtime(&start_time.tv_sec); */  /*  tm = *localtime(&start_time.tm_sec); */
 /*   tmg.tm_year=tmg.tm_year +dsign*dyear; */  /*   tmg.tm_year=tmg.tm_year +dsign*dyear; */
 /*   tmg.tm_mon=tmg.tm_mon +dsign*dmonth; */  /*   tmg.tm_mon=tmg.tm_mon +dsign*dmonth; */
 /*   tmg.tm_hour=tmg.tm_hour + 1; */  /*   tmg.tm_hour=tmg.tm_hour + 1; */
 /*   tp.tv_sec = mktime(&tmg); */  /*   tp.tm_sec = mktime(&tmg); */
 /*   strt=asctime(&tmg); */  /*   strt=asctime(&tmg); */
 /*   printf("Time(after) =%s",strstart);  */  /*   printf("Time(after) =%s",strstart);  */
 /*  (void) time (&time_value);  /*  (void) time (&time_value);
Line 5305  int main(int argc, char *argv[]) Line 13152  int main(int argc, char *argv[])
   
   nberr=0; /* Number of errors and warnings */    nberr=0; /* Number of errors and warnings */
   nbwarn=0;    nbwarn=0;
   #ifdef WIN32
     _getcwd(pathcd, size);
   #else
   getcwd(pathcd, size);    getcwd(pathcd, size);
   #endif
   printf("\n%s\n%s",version,fullversion);    syscompilerinfo(0);
     printf("\nIMaCh version %s, %s\n%s",version, copyright, fullversion);
   if(argc <=1){    if(argc <=1){
     printf("\nEnter the parameter file name: ");      printf("\nEnter the parameter file name: ");
     fgets(pathr,FILENAMELENGTH,stdin);      if(!fgets(pathr,FILENAMELENGTH,stdin)){
         printf("ERROR Empty parameter file name\n");
         goto end;
       }
     i=strlen(pathr);      i=strlen(pathr);
     if(pathr[i-1]=='\n')      if(pathr[i-1]=='\n')
       pathr[i-1]='\0';        pathr[i-1]='\0';
    for (tok = pathr; tok != NULL; ){      i=strlen(pathr);
       if(i >= 1 && pathr[i-1]==' ') {/* This may happen when dragging on oS/X! */
         pathr[i-1]='\0';
       }
       i=strlen(pathr);
       if( i==0 ){
         printf("ERROR Empty parameter file name\n");
         goto end;
       }
       for (tok = pathr; tok != NULL; ){
       printf("Pathr |%s|\n",pathr);        printf("Pathr |%s|\n",pathr);
       while ((val = strsep(&tok, "\"" )) != NULL && *val == '\0');        while ((val = strsep(&tok, "\"" )) != NULL && *val == '\0');
       printf("val= |%s| pathr=%s\n",val,pathr);        printf("val= |%s| pathr=%s\n",val,pathr);
Line 5322  int main(int argc, char *argv[]) Line 13185  int main(int argc, char *argv[])
       if(pathr[0] == '\0') break; /* Dirty */        if(pathr[0] == '\0') break; /* Dirty */
     }      }
   }    }
     else if (argc<=2){
       strcpy(pathtot,argv[1]);
     }
   else{    else{
     strcpy(pathtot,argv[1]);      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");*/    /*if(getcwd(pathcd, MAXLINE)!= NULL)printf ("Error pathcd\n");*/
   /*cygwin_split_path(pathtot,path,optionfile);    /*cygwin_split_path(pathtot,path,optionfile);
Line 5338  int main(int argc, char *argv[]) Line 13206  int main(int argc, char *argv[])
   /* Split argv[1]=pathtot, parameter file name to get path, optionfile, extension and name */    /* Split argv[1]=pathtot, parameter file name to get path, optionfile, extension and name */
   split(pathtot,path,optionfile,optionfilext,optionfilefiname);    split(pathtot,path,optionfile,optionfilext,optionfilefiname);
   printf("\npathtot=%s,\npath=%s,\noptionfile=%s \noptionfilext=%s \noptionfilefiname=%s\n",pathtot,path,optionfile,optionfilext,optionfilefiname);    printf("\npathtot=%s,\npath=%s,\noptionfile=%s \noptionfilext=%s \noptionfilefiname=%s\n",pathtot,path,optionfile,optionfilext,optionfilefiname);
   #ifdef WIN32
     _chdir(path); /* Can be a relative path */
     if(_getcwd(pathcd,MAXLINE) > 0) /* So pathcd is the full path */
   #else
   chdir(path); /* Can be a relative path */    chdir(path); /* Can be a relative path */
   if(getcwd(pathcd,MAXLINE) > 0) /* So pathcd is the full path */    if (getcwd(pathcd, MAXLINE) > 0) /* So pathcd is the full path */
     printf("Current directory %s!\n",pathcd);  #endif
     printf("Current directory %s!\n",pathcd);
   strcpy(command,"mkdir ");    strcpy(command,"mkdir ");
   strcat(command,optionfilefiname);    strcat(command,optionfilefiname);
   if((outcmd=system(command)) != 0){    if((outcmd=system(command)) != 0){
     printf("Problem creating directory or it already exists %s%s, err=%d\n",path,optionfilefiname,outcmd);      printf("Directory already exists (or can't create it) %s%s, err=%d\n",path,optionfilefiname,outcmd);
     /* fprintf(ficlog,"Problem creating directory %s%s\n",path,optionfilefiname); */      /* fprintf(ficlog,"Problem creating directory %s%s\n",path,optionfilefiname); */
     /* fclose(ficlog); */      /* fclose(ficlog); */
 /*     exit(1); */  /*     exit(1); */
Line 5355  int main(int argc, char *argv[]) Line 13228  int main(int argc, char *argv[])
   
   /*-------- arguments in the command line --------*/    /*-------- arguments in the command line --------*/
   
   /* Log file */    /* Main Log file */
   strcat(filelog, optionfilefiname);    strcat(filelog, optionfilefiname);
   strcat(filelog,".log");    /* */    strcat(filelog,".log");    /* */
   if((ficlog=fopen(filelog,"w"))==NULL)    {    if((ficlog=fopen(filelog,"w"))==NULL)    {
Line 5363  int main(int argc, char *argv[]) Line 13236  int main(int argc, char *argv[])
     goto end;      goto end;
   }    }
   fprintf(ficlog,"Log filename:%s\n",filelog);    fprintf(ficlog,"Log filename:%s\n",filelog);
   fprintf(ficlog,"\n%s\n%s",version,fullversion);    fprintf(ficlog,"Version %s %s",version,fullversion);
   fprintf(ficlog,"\nEnter the parameter file name: \n");    fprintf(ficlog,"\nEnter the parameter file name: \n");
   fprintf(ficlog,"pathimach=%s\npathtot=%s\n\    fprintf(ficlog,"pathimach=%s\npathtot=%s\n\
  path=%s \n\   path=%s \n\
  optionfile=%s\n\   optionfile=%s\n\
  optionfilext=%s\n\   optionfilext=%s\n\
  optionfilefiname=%s\n",pathimach,pathtot,path,optionfile,optionfilext,optionfilefiname);   optionfilefiname='%s'\n",pathimach,pathtot,path,optionfile,optionfilext,optionfilefiname);
   
     syscompilerinfo(1);
   
   printf("Local time (at start):%s",strstart);    printf("Local time (at start):%s",strstart);
   fprintf(ficlog,"Local time (at start): %s",strstart);    fprintf(ficlog,"Local time (at start): %s",strstart);
   fflush(ficlog);    fflush(ficlog);
 /*   (void) gettimeofday(&curr_time,&tzp); */  /*   (void) gettimeofday(&curr_time,&tzp); */
 /*   printf("Elapsed time %d\n", asc_diff_time(curr_time.tv_sec-start_time.tv_sec,tmpout)); */  /*   printf("Elapsed time %d\n", asc_diff_time(curr_time.tm_sec-start_time.tm_sec,tmpout)); */
   
   /* */    /* */
   strcpy(fileres,"r");    strcpy(fileres,"r");
   strcat(fileres, optionfilefiname);    strcat(fileres, optionfilefiname);
     strcat(fileresu, optionfilefiname); /* Without r in front */
   strcat(fileres,".txt");    /* Other files have txt extension */    strcat(fileres,".txt");    /* Other files have txt extension */
     strcat(fileresu,".txt");    /* Other files have txt extension */
   
   /*---------arguments file --------*/    /* Main ---------arguments file --------*/
   
   if((ficpar=fopen(optionfile,"r"))==NULL)    {    if((ficpar=fopen(optionfile,"r"))==NULL)    {
     printf("Problem with optionfile %s\n",optionfile);      printf("Problem with optionfile '%s' with errno='%s'\n",optionfile,strerror(errno));
     fprintf(ficlog,"Problem with optionfile %s\n",optionfile);      fprintf(ficlog,"Problem with optionfile '%s' with errno='%s'\n",optionfile,strerror(errno));
     fflush(ficlog);      fflush(ficlog);
     goto end;      /* goto end; */
       exit(70); 
   }    }
   
   
   
   strcpy(filereso,"o");    strcpy(filereso,"o");
   strcat(filereso,fileres);    strcat(filereso,fileresu);
   if((ficparo=fopen(filereso,"w"))==NULL) { /* opened on subdirectory */    if((ficparo=fopen(filereso,"w"))==NULL) { /* opened on subdirectory */
     printf("Problem with Output resultfile: %s\n", filereso);      printf("Problem with Output resultfile: %s\n", filereso);
     fprintf(ficlog,"Problem with Output resultfile: %s\n", filereso);      fprintf(ficlog,"Problem with Output resultfile: %s\n", filereso);
     fflush(ficlog);      fflush(ficlog);
     goto end;      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 '#' */    /* Reads comments: lines beginning with '#' */
   numlinepar=0;    numlinepar=0;
   while((c=getc(ficpar))=='#' && c!= EOF){    /* Is it a BOM UTF-8 Windows file? */
     ungetc(c,ficpar);    /* First parameter line */
     fgets(line, MAXLINE, ficpar);    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[noffset] == '#') {
         numlinepar++;
         fputs(line,stdout);
         fputs(line,ficparo);
         fputs(line,ficres);
         fputs(line,ficlog);
         continue;
       }else
         break;
     }
     if((num_filled=sscanf(line,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", \
                           title, datafile, &lastobs, &firstpass,&lastpass)) !=EOF){
       if (num_filled != 5) {
         printf("Should be 5 parameters\n");
         fprintf(ficlog,"Should be 5 parameters\n");
       }
     numlinepar++;      numlinepar++;
     fputs(line,stdout);      printf("title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", title, datafile, lastobs, firstpass,lastpass);
     fputs(line,ficparo);      fprintf(ficparo,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", title, datafile, lastobs, firstpass,lastpass);
     fputs(line,ficlog);      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)) {
       /* 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++;
         printf("%s",line);
         fprintf(ficres,"%s",line);
         fprintf(ficparo,"%s",line);
         fprintf(ficlog,"%s",line);
         continue;
       }else
         break;
   }    }
   ungetc(c,ficpar);    if((num_filled=sscanf(line,"ftol=%lf 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)) !=EOF){
   fscanf(ficpar,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%lf stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d model=%s\n",title, datafile, &lastobs, &firstpass,&lastpass,&ftol, &stepm, &ncovcol, &nlstate,&ndeath, &maxwav, &mle, &weightopt,model);      if (num_filled != 11) {
   numlinepar++;        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("title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\nmodel=%s\n", title, datafile, lastobs, firstpass,lastpass,ftol, stepm, ncovcol, nlstate,ndeath, maxwav, mle, weightopt,model);        printf("but line=%s\n",line);
   fprintf(ficparo,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\nmodel=%s\n", title, datafile, lastobs, firstpass,lastpass,ftol,stepm,ncovcol,nlstate,ndeath,maxwav, mle, weightopt,model);        fprintf(ficlog,"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,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\nmodel=%s\n", title, datafile, lastobs, firstpass,lastpass,ftol,stepm,ncovcol,nlstate,ndeath,maxwav, mle, weightopt,model);        fprintf(ficlog,"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);
       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 */
     /* Third parameter line */
     while(fgets(line, MAXLINE, ficpar)) {
       /* If line starts with a # it is a comment */
       if (line[0] == '#') {
         numlinepar++;
         printf("%s",line);
         fprintf(ficres,"%s",line);
         fprintf(ficparo,"%s",line);
         fprintf(ficlog,"%s",line);
         continue;
       }else
         break;
     }
     if((num_filled=sscanf(line,"model=%[^.\n]", model)) !=EOF){ /* Every character after model but dot and  return */
       if (num_filled != 1){
         printf("ERROR %d: Model should be at minimum 'model=1+age+' instead of '%s'\n",num_filled, line);
         fprintf(ficlog,"ERROR %d: Model should be at minimum 'model=1+age+' instead of '%s'\n",num_filled, line);
         model[0]='\0';
         goto end;
       }else{
         trimbtab(linetmp,line); /* Trims multiple blanks in line */
         strcpy(line, linetmp);
       }
     }
     if((num_filled=sscanf(line,"model=1+age%[^.\n]", model)) !=EOF){ /* Every character after 1+age but dot and  return */
       if (num_filled != 1){
         printf("ERROR %d: Model should be at minimum 'model=1+age+' instead of '%s'\n",num_filled, line);
         fprintf(ficlog,"ERROR %d: Model should be at minimum 'model=1+age+' instead of '%s'\n",num_filled, line);
         model[0]='\0';
         goto end;
       }
       else{
         if (model[0]=='+'){
           for(i=1; i<=strlen(model);i++)
             modeltemp[i-1]=model[i];
           strcpy(model,modeltemp); 
         }
       }
       /* printf(" model=1+age%s modeltemp= %s, model=1+age+%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(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);    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 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+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 vectors and subdiagonal covariance matrix.\n");
         exit(1);
       }
     }
   while((c=getc(ficpar))=='#' && c!= EOF){    while((c=getc(ficpar))=='#' && c!= EOF){
     ungetc(c,ficpar);      ungetc(c,ficpar);
     fgets(line, MAXLINE, ficpar);      fgets(line, MAXLINE, ficpar);
     numlinepar++;      numlinepar++;
       if(line[1]=='q'){ /* This #q will quit imach (the answer is q) */
         z[0]=line[1];
       }else if(line[1]=='d'){ /* For debugging individual values of covariates in ficresilk */
         debugILK=1;printf("DebugILK\n");
       }
       /* printf("****line [1] = %c \n",line[1]); */
     fputs(line, stdout);      fputs(line, stdout);
     //puts(line);      //puts(line);
     fputs(line,ficparo);      fputs(line,ficparo);
Line 5432  int main(int argc, char *argv[]) Line 13454  int main(int argc, char *argv[])
   ungetc(c,ficpar);    ungetc(c,ficpar);
   
         
   covar=matrix(0,NCOVMAX,1,n);  /**< used in readdata */    covar=matrix(0,NCOVMAX,firstobs,lastobs);  /**< used in readdata */
     if(nqv>=1)coqvar=matrix(1,nqv,firstobs,lastobs);  /**< Fixed quantitative covariate */
     if(nqtv>=1)cotqvar=ma3x(1,maxwav,1,nqtv,firstobs,lastobs);  /**< Time varying quantitative covariate */
     /* if(ntv+nqtv>=1)cotvar=ma3x(1,maxwav,1,ntv+nqtv,firstobs,lastobs);  /\**< Time varying covariate (dummy and quantitative)*\/ */
     if(ntv+nqtv>=1)cotvar=ma3x(1,maxwav,ncovcol+nqv+1,ncovcol+nqv+ntv+nqtv,firstobs,lastobs);  /**< Might be better */
   cptcovn=0; /*Number of covariates, i.e. number of '+' in model statement plus one, indepently of n in Vn*/    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+v3+v2*v4+v5*age makes cptcovn = 5
      v1+v2*age+v2*v3 makes cptcovn = 3       v1+v2*age+v2*v3 makes cptcovn = 3
   */    */
   if (strlen(model)>1)     if (strlen(model)>1) 
     ncovmodel=2+nbocc(model,'+')+1; /*Number of variables including intercept and age = cptcovn + intercept + age : v1+v2+v3+v2*v4+v5*age makes 5+2=7*/      ncovmodel=2+nbocc(model,'+')+1; /*Number of variables including intercept and age = cptcovn + intercept + age : v1+v2+v3+v2*v4+v5*age makes 5+2=7,age*age makes 3*/
   else    else
     ncovmodel=2;      ncovmodel=2; /* Constant and age */
   nvar=ncovmodel-1; /* Suppressing age as a basic covariate */  
   nforce= (nlstate+ndeath-1)*nlstate; /* Number of forces ij from state i to j */    nforce= (nlstate+ndeath-1)*nlstate; /* Number of forces ij from state i to j */
   npar= nforce*ncovmodel; /* Number of parameters like aij*/    npar= nforce*ncovmodel; /* Number of parameters like aij*/
   if(npar >MAXPARM || nlstate >NLSTATEMAX || ndeath >NDEATHMAX || ncovmodel>NCOVMAX){    if(npar >MAXPARM || nlstate >NLSTATEMAX || ndeath >NDEATHMAX || ncovmodel>NCOVMAX){
Line 5455  int main(int argc, char *argv[]) Line 13480  int main(int argc, char *argv[])
   delti=delti3[1][1];    delti=delti3[1][1];
   /*delti=vector(1,npar); *//* Scale of each paramater (output from hesscov)*/    /*delti=vector(1,npar); *//* Scale of each paramater (output from hesscov)*/
   if(mle==-1){ /* Print a wizard for help writing covariance matrix */    if(mle==-1){ /* Print a wizard for help writing covariance matrix */
   /* We could also provide initial parameters values giving by simple logistic regression 
    * only one way, that is without matrix product. We will have nlstate maximizations */
         /* for(i=1;i<nlstate;i++){ */
         /*        /\*reducing xi for 1 to npar to 1 to ncovmodel; *\/ */
         /*    mlikeli(ficres,p, ncovmodel, ncovmodel, nlstate, ftol, funcnoprod); */
         /* } */
     prwizard(ncovmodel, nlstate, ndeath, model, ficparo);      prwizard(ncovmodel, nlstate, ndeath, model, ficparo);
     printf(" You choose mle=-1, look at file %s for a template of covariance matrix \n",filereso);      printf(" You chose mle=-1, look at file %s for a template of covariance matrix \n",filereso);
     fprintf(ficlog," You choose mle=-1, look at file %s for a template of covariance matrix \n",filereso);      fprintf(ficlog," You chose mle=-1, look at file %s for a template of covariance matrix \n",filereso);
     free_ma3x(delti3,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel);       free_ma3x(delti3,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel); 
     fclose (ficparo);      fclose (ficparo);
     fclose (ficlog);      fclose (ficlog);
     goto end;      goto end;
     exit(0);      exit(0);
   }    }  else if(mle==-5) { /* Main Wizard */
   else if(mle==-3) {  
     prwizard(ncovmodel, nlstate, ndeath, model, ficparo);      prwizard(ncovmodel, nlstate, ndeath, model, ficparo);
     printf(" You choose mle=-3, look at file %s for a template of covariance matrix \n",filereso);      printf(" You chose mle=-3, look at file %s for a template of covariance matrix \n",filereso);
     fprintf(ficlog," You choose mle=-3, look at file %s for a template of covariance matrix \n",filereso);      fprintf(ficlog," You chose mle=-3, look at file %s for a template of covariance matrix \n",filereso);
     param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);      param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
     matcov=matrix(1,npar,1,npar);      matcov=matrix(1,npar,1,npar);
   }      hess=matrix(1,npar,1,npar);
   else{    }  else{ /* Begin of mle != -1 or -5 */
     /* Read guessed parameters */      /* Read guessed parameters */
     /* Reads comments: lines beginning with '#' */      /* Reads comments: lines beginning with '#' */
     while((c=getc(ficpar))=='#' && c!= EOF){      while((c=getc(ficpar))=='#' && c!= EOF){
Line 5485  int main(int argc, char *argv[]) Line 13515  int main(int argc, char *argv[])
     ungetc(c,ficpar);      ungetc(c,ficpar);
           
     param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);      param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
       paramstart= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
     for(i=1; i <=nlstate; i++){      for(i=1; i <=nlstate; i++){
       j=0;        j=0;
       for(jj=1; jj <=nlstate+ndeath; jj++){        for(jj=1; jj <=nlstate+ndeath; jj++){
         if(jj==i) continue;          if(jj==i) continue;
         j++;          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);          fscanf(ficpar,"%1d%1d",&i1,&j1);
         if ((i1 != i) && (j1 != j)){          if ((i1 != i) || (j1 != jj)){
           printf("Error in line parameters number %d, %1d%1d instead of %1d%1d \n \            printf("Error in line parameters number %d, %1d%1d instead of %1d%1d \n \
 It might be a problem of design; if ncovcol and the model are correct\n \  It might be a problem of design; if ncovcol and the model are correct\n \
 run imach with mle=-1 to get a correct template of the parameter file.\n",numlinepar, i,j, i1, j1);  run imach with mle=-1 to get a correct template of the parameter file.\n",numlinepar, i,j, i1, j1);
Line 5499  run imach with mle=-1 to get a correct t Line 13539  run imach with mle=-1 to get a correct t
         }          }
         fprintf(ficparo,"%1d%1d",i1,j1);          fprintf(ficparo,"%1d%1d",i1,j1);
         if(mle==1)          if(mle==1)
           printf("%1d%1d",i,j);            printf("%1d%1d",i,jj);
         fprintf(ficlog,"%1d%1d",i,j);          fprintf(ficlog,"%1d%1d",i,jj);
         for(k=1; k<=ncovmodel;k++){          for(k=1; k<=ncovmodel;k++){
           fscanf(ficpar," %lf",&param[i][j][k]);            fscanf(ficpar," %lf",&param[i][j][k]);
           if(mle==1){            if(mle==1){
Line 5520  run imach with mle=-1 to get a correct t Line 13560  run imach with mle=-1 to get a correct t
       }        }
     }        }  
     fflush(ficlog);      fflush(ficlog);
       
     /* Reads scales values */      /* Reads parameters values */
     p=param[1][1];      p=param[1][1];
       pstart=paramstart[1][1];
           
     /* Reads comments: lines beginning with '#' */      /* Reads comments: lines beginning with '#' */
     while((c=getc(ficpar))=='#' && c!= EOF){      while((c=getc(ficpar))=='#' && c!= EOF){
Line 5538  run imach with mle=-1 to get a correct t Line 13579  run imach with mle=-1 to get a correct t
     for(i=1; i <=nlstate; i++){      for(i=1; i <=nlstate; i++){
       for(j=1; j <=nlstate+ndeath-1; j++){        for(j=1; j <=nlstate+ndeath-1; j++){
         fscanf(ficpar,"%1d%1d",&i1,&j1);          fscanf(ficpar,"%1d%1d",&i1,&j1);
         if ((i1-i)*(j1-j)!=0){          if ( (i1-i) * (j1-j) != 0){
           printf("Error in line parameters number %d, %1d%1d instead of %1d%1d \n",numlinepar, i,j, i1, j1);            printf("Error in line parameters number %d, %1d%1d instead of %1d%1d \n",numlinepar, i,j, i1, j1);
           exit(1);            exit(1);
         }          }
Line 5559  run imach with mle=-1 to get a correct t Line 13600  run imach with mle=-1 to get a correct t
       }        }
     }      }
     fflush(ficlog);      fflush(ficlog);
       
     /* Reads covariance matrix */      /* Reads covariance matrix */
     delti=delti3[1][1];      delti=delti3[1][1];
                   
                   
     /* free_ma3x(delti3,1,nlstate,1,nlstate+ndeath-1,1,ncovmodel); */ /* Hasn't to to freed here otherwise delti is no more allocated */      /* free_ma3x(delti3,1,nlstate,1,nlstate+ndeath-1,1,ncovmodel); */ /* Hasn't to to freed here otherwise delti is no more allocated */
                     
     /* Reads comments: lines beginning with '#' */      /* Reads comments: lines beginning with '#' */
     while((c=getc(ficpar))=='#' && c!= EOF){      while((c=getc(ficpar))=='#' && c!= EOF){
       ungetc(c,ficpar);        ungetc(c,ficpar);
Line 5576  run imach with mle=-1 to get a correct t Line 13617  run imach with mle=-1 to get a correct t
       fputs(line,ficlog);        fputs(line,ficlog);
     }      }
     ungetc(c,ficpar);      ungetc(c,ficpar);
                     
     matcov=matrix(1,npar,1,npar);      matcov=matrix(1,npar,1,npar);
       hess=matrix(1,npar,1,npar);
     for(i=1; i <=npar; i++)      for(i=1; i <=npar; i++)
       for(j=1; j <=npar; j++) matcov[i][j]=0.;        for(j=1; j <=npar; j++) matcov[i][j]=0.;
                         
       /* Scans npar lines */
     for(i=1; i <=npar; i++){      for(i=1; i <=npar; i++){
       fscanf(ficpar,"%s",str);        count=fscanf(ficpar,"%1d%1d%d",&i1,&j1,&jk);
       if(mle==1)        if(count != 3){
         printf("%s",str);          printf("Error! Error in parameter file %s at line %d after line starting with %1d%1d%1d\n\
       fprintf(ficlog,"%s",str);  This is probably because your covariance matrix doesn't \n  contain exactly %d lines corresponding to your model line '1+age+%s'.\n\
       fprintf(ficparo,"%s",str);  Please run with mle=-1 to get a correct covariance matrix.\n",optionfile,numlinepar, i1,j1,jk, npar, model);
           fprintf(ficlog,"Error! Error in parameter file %s at line %d after line starting with %1d%1d%1d\n\
   This is probably because your covariance matrix doesn't \n  contain exactly %d lines corresponding to your model line '1+age+%s'.\n\
   Please run with mle=-1 to get a correct covariance matrix.\n",optionfile,numlinepar, i1,j1,jk, npar, model);
           exit(1);
         }else{
           if(mle==1)
             printf("%1d%1d%d",i1,j1,jk);
         }
         fprintf(ficlog,"%1d%1d%d",i1,j1,jk);
         fprintf(ficparo,"%1d%1d%d",i1,j1,jk);
       for(j=1; j <=i; j++){        for(j=1; j <=i; j++){
         fscanf(ficpar," %le",&matcov[i][j]);          fscanf(ficpar," %le",&matcov[i][j]);
         if(mle==1){          if(mle==1){
Line 5598  run imach with mle=-1 to get a correct t Line 13651  run imach with mle=-1 to get a correct t
       fscanf(ficpar,"\n");        fscanf(ficpar,"\n");
       numlinepar++;        numlinepar++;
       if(mle==1)        if(mle==1)
         printf("\n");                                  printf("\n");
       fprintf(ficlog,"\n");        fprintf(ficlog,"\n");
       fprintf(ficparo,"\n");        fprintf(ficparo,"\n");
     }      }
       /* End of read covariance matrix npar lines */
     for(i=1; i <=npar; i++)      for(i=1; i <=npar; i++)
       for(j=i+1;j<=npar;j++)        for(j=i+1;j<=npar;j++)
         matcov[i][j]=matcov[j][i];          matcov[i][j]=matcov[j][i];
Line 5612  run imach with mle=-1 to get a correct t Line 13666  run imach with mle=-1 to get a correct t
           
     fflush(ficlog);      fflush(ficlog);
           
     /*-------- Rewriting parameter file ----------*/  
     strcpy(rfileres,"r");    /* "Rparameterfile */  
     strcat(rfileres,optionfilefiname);    /* Parameter file first name*/  
     strcat(rfileres,".");    /* */  
     strcat(rfileres,optionfilext);    /* Other files have txt extension */  
     if((ficres =fopen(rfileres,"w"))==NULL) {  
       printf("Problem writing new parameter file: %s\n", fileres);goto end;  
       fprintf(ficlog,"Problem writing new parameter file: %s\n", fileres);goto end;  
     }  
     fprintf(ficres,"#%s\n",version);  
   }    /* End of mle != -3 */    }    /* End of mle != -3 */
     
     /*  Main data
   n= lastobs;     */
   num=lvector(1,n);    nobs=lastobs-firstobs+1; /* was = lastobs;*/
   moisnais=vector(1,n);    /* num=lvector(1,n); */
   annais=vector(1,n);    /* moisnais=vector(1,n); */
   moisdc=vector(1,n);    /* annais=vector(1,n); */
   andc=vector(1,n);    /* moisdc=vector(1,n); */
   agedc=vector(1,n);    /* andc=vector(1,n); */
   cod=ivector(1,n);    /* weight=vector(1,n); */
   weight=vector(1,n);    /* agedc=vector(1,n); */
   for(i=1;i<=n;i++) weight[i]=1.0; /* Equal weights, 1 by default */    /* cod=ivector(1,n); */
   mint=matrix(1,maxwav,1,n);    /* for(i=1;i<=n;i++){ */
   anint=matrix(1,maxwav,1,n);    num=lvector(firstobs,lastobs);
   s=imatrix(1,maxwav+1,1,n); /* s[i][j] health state for wave i and individual j */     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;
       moisdc[i]=0;
       andc[i]=0;
       agedc[i]=0;
       cod[i]=0;
       weight[i]=1.0; /* Equal weights, 1 by default */
     }
     mint=matrix(1,maxwav,firstobs,lastobs);
     anint=matrix(1,maxwav,firstobs,lastobs);
     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);    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 */    ncodemax=ivector(1,NCOVMAX); /* Number of code per covariate; if O and 1 only, 2**ncov; V1+V2+V3+V4=>16 */
     ncodemaxwundef=ivector(1,NCOVMAX); /* Number of code per covariate; if - 1 O and 1 only, 2**ncov; V1+V2+V3+V4=>16 */
   
   /* Reads data from file datafile */    /* Reads data from file datafile */
   if (readdata(datafile, firstobs, lastobs, &imx)==1)    if (readdata(datafile, firstobs, lastobs, &imx)==1)
     goto end;      goto end;
   
   /* Calculation of the number of parameters from char model */    /* Calculation of the number of parameters from char model */
     /*    modelsav=V2+V1+V4+age*V3 strb=age*V3 stra=V2+V1+V4     /*    modelsav=V2+V1+V4+age*V3 strb=age*V3 stra=V2+V1+V4 
         k=4 (age*V3) Tvar[k=4]= 3 (from V3) Tag[cptcovage=1]=4          k=4 (age*V3) Tvar[k=4]= 3 (from V3) Tag[cptcovage=1]=4
         k=3 V4 Tvar[k=3]= 4 (from V4)          k=3 V4 Tvar[k=3]= 4 (from V4)
         k=2 V1 Tvar[k=2]= 1 (from V1)          k=2 V1 Tvar[k=2]= 1 (from V1)
         k=1 Tvar[1]=2 (from V2)          k=1 Tvar[1]=2 (from V2)
     */    */
     
   Tvar=ivector(1,NCOVMAX); /* Was 15 changed to NCOVMAX. */    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); /*  */
     TvarF=ivector(1,NCOVMAX); /*  */
     TvarFind=ivector(1,NCOVMAX); /*  */
     TvarV=ivector(1,NCOVMAX); /*  */
     TvarVind=ivector(1,NCOVMAX); /*  */
     TvarA=ivector(1,NCOVMAX); /*  */
     TvarAind=ivector(1,NCOVMAX); /*  */
     TvarFD=ivector(1,NCOVMAX); /*  */
     TvarFDind=ivector(1,NCOVMAX); /*  */
     TvarFQ=ivector(1,NCOVMAX); /*  */
     TvarFQind=ivector(1,NCOVMAX); /*  */
     TvarVD=ivector(1,NCOVMAX); /*  */
     TvarVDind=ivector(1,NCOVMAX); /*  */
     TvarVQ=ivector(1,NCOVMAX); /*  */
     TvarVQind=ivector(1,NCOVMAX); /*  */
     TvarVV=ivector(1,NCOVMAX); /*  */
     TvarVVind=ivector(1,NCOVMAX); /*  */
     TvarVVA=ivector(1,NCOVMAX); /*  */
     TvarVVAind=ivector(1,NCOVMAX); /*  */
     TvarAVVA=ivector(1,NCOVMAX); /*  */
     TvarAVVAind=ivector(1,NCOVMAX); /*  */
   
     Tvalsel=vector(1,NCOVMAX); /*  */
     Tvarsel=ivector(1,NCOVMAX); /*  */
     Typevar=ivector(-1,NCOVMAX); /* -1 to 2 */
     Fixed=ivector(-1,NCOVMAX); /* -1 to 3 */
     Dummy=ivector(-1,NCOVMAX); /* -1 to 3 */
     DummyV=ivector(-1,NCOVMAX); /* 1 to 3 */
     FixedV=ivector(-1,NCOVMAX); /* 1 to 3 */
   
   /*  V2+V1+V4+age*V3 is a model with 4 covariates (3 plus signs).     /*  V2+V1+V4+age*V3 is a model with 4 covariates (3 plus signs). 
       For each model-covariate stores the data-covariate id. Tvar[1]=2, Tvar[2]=1, Tvar[3]=4,         For each model-covariate stores the data-covariate id. Tvar[1]=2, Tvar[2]=1, Tvar[3]=4, 
       Tvar[4=age*V3] is 3 and 'age' is recorded in Tage.        Tvar[4=age*V3] is 3 and 'age' is recorded in Tage.
Line 5662  run imach with mle=-1 to get a correct t Line 13763  run imach with mle=-1 to get a correct t
     ncovcol + k1      ncovcol + k1
     If already ncovcol=4 and model=V2+V1+V1*V4+age*V3      If already ncovcol=4 and model=V2+V1+V1*V4+age*V3
     Tvar[3=V1*V4]=4+1 etc */      Tvar[3=V1*V4]=4+1 etc */
   Tprod=ivector(1,NCOVMAX); /* Gives the position of a product */    Tprod=ivector(1,NCOVMAX); /* Gives the k position of the k1 product */
     Tposprod=ivector(1,NCOVMAX); /* Gives the k1 product from the k position */
   /* Tprod[k1=1]=3(=V1*V4) for V2+V1+V1*V4+age*V3    /* Tprod[k1=1]=3(=V1*V4) for V2+V1+V1*V4+age*V3
      if  V2+V1+V1*V4+age*V3+V3*V2   TProd[k1=2]=5 (V3*V2)       if  V2+V1+V1*V4+age*V3+V3*V2   TProd[k1=2]=5 (V3*V2)
        Tposprod[k]=k1 , Tposprod[3]=1, Tposprod[5]=2 
   */    */
   Tvaraff=ivector(1,NCOVMAX); /* Unclear */    Tvaraff=ivector(1,NCOVMAX); /* Unclear */
   Tvard=imatrix(1,NCOVMAX,1,2); /* n=Tvard[k1][1]  and m=Tvard[k1][2] gives the couple n,m of the k1 th product Vn*Vm    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.                               * 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) */                              * Tvard[k1=2][1]=3 (V3) Tvard[k1=2][2]=2(V2) */
     Tvardk=imatrix(0,NCOVMAX,1,2);
   Tage=ivector(1,NCOVMAX); /* Gives the covariate id of covariates associated with age: V2 + V1 + age*V4 + V3*age    Tage=ivector(1,NCOVMAX); /* Gives the covariate id of covariates associated with age: V2 + V1 + age*V4 + V3*age
                          4 covariates (3 plus signs)                           4 covariates (3 plus signs)
                          Tage[1=V3*age]= 4; Tage[2=age*V4] = 3                           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,
                                   * 3, 1, 0, 0, 0, 0, 0, 0},
                                   * model=V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 , 
                                   * V1 df, V2 qf, V3 & V4 dv, V5 qv
                                   * Tmodelind[1]@9={9,0,3,2,}*/
     TmodelInvind=ivector(1,NCOVMAX); /* TmodelInvind=Tvar[k]- ncovcol-nqv={5-2-1=2,*/
     TmodelInvQind=ivector(1,NCOVMAX);/** gives the k model position of an
                                   * individual quantitative, fixed or varying:
                                   * Tmodelqind[1]=1,Tvaraff[1]@9={4,
                                   * 3, 1, 0, 0, 0, 0, 0, 0},
                                   * model=V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1*/
   
   /* Probably useless zeroes */
     for(i=1;i<NCOVMAX;i++){
       DummyV[i]=0;
       FixedV[i]=0;
     }
   
     for(i=1; i <=ncovcol;i++){
       DummyV[i]=0;
       FixedV[i]=0;
     }
     for(i=ncovcol+1; i <=ncovcol+nqv;i++){
       DummyV[i]=1;
       FixedV[i]=0;
     }
     for(i=ncovcol+nqv+1; i <=ncovcol+nqv+ntv;i++){
       DummyV[i]=0;
       FixedV[i]=1;
     }
     for(i=ncovcol+nqv+ntv+1; i <=ncovcol+nqv+ntv+nqtv;i++){
       DummyV[i]=1;
       FixedV[i]=1;
     }
     for(i=1; i <=ncovcol+nqv+ntv+nqtv;i++){
       printf("Covariate type in the data: V%d, DummyV(V%d)=%d, FixedV(V%d)=%d\n",i,i,DummyV[i],i,FixedV[i]);
       fprintf(ficlog,"Covariate type in the data: V%d, DummyV(V%d)=%d, FixedV(V%d)=%d\n",i,i,DummyV[i],i,FixedV[i]);
     }
   
   
   
   /* Main decodemodel */
   
   
   if(decodemodel(model, lastobs) == 1)    if(decodemodel(model, lastobs) == 1) /* In order to get Tvar[k] V4+V3+V5 p Tvar[1]@3  = {4, 3, 5}*/
     goto end;      goto end;
   
   if((double)(lastobs-imx)/(double)imx > 1.10){    if((double)(lastobs-imx)/(double)imx > 1.10){
Line 5696  run imach with mle=-1 to get a correct t Line 13847  run imach with mle=-1 to get a correct t
   
   
   agegomp=(int)agemin;    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(mint,1,maxwav,1,n);
      free_matrix(anint,1,maxwav,1,n);*/       free_matrix(anint,1,maxwav,1,n);*/
   free_vector(moisdc,1,n);    /* free_vector(moisdc,1,n); */
   free_vector(andc,1,n);    /* free_vector(andc,1,n); */
   /* */    /* */
       
   wav=ivector(1,imx);    wav=ivector(1,imx);
   dh=imatrix(1,lastpass-firstpass+1,1,imx);    /* dh=imatrix(1,lastpass-firstpass+1,1,imx); */
   bh=imatrix(1,lastpass-firstpass+1,1,imx);    /* bh=imatrix(1,lastpass-firstpass+1,1,imx); */
   mw=imatrix(1,lastpass-firstpass+1,1,imx);    /* mw=imatrix(1,lastpass-firstpass+1,1,imx); */
     dh=imatrix(1,lastpass-firstpass+2,1,imx); /* We are adding a wave if status is unknown at last wave but death occurs after last wave.*/
     bh=imatrix(1,lastpass-firstpass+2,1,imx);
     mw=imatrix(1,lastpass-firstpass+2,1,imx);
         
   /* Concatenates waves */    /* Concatenates waves */
     /* Concatenates waves: wav[i] is the number of effective (useful waves) of individual i.
        Death is a valid wave (if date is known).
        mw[mi][i] is the number of (mi=1 to wav[i]) effective wave out of mi 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.
     */
   
   concatwav(wav, dh, bh, mw, s, agedc, agev,  firstpass, lastpass, imx, nlstate, stepm);    concatwav(wav, dh, bh, mw, s, agedc, agev,  firstpass, lastpass, imx, nlstate, stepm);
   /* */    /* Concatenates waves */
     
   /* Routine tricode is to calculate cptcoveff (real number of unique covariates) and to associate covariable number and modality */    free_vector(moisdc,firstobs,lastobs);
     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);     nbcode=imatrix(0,NCOVMAX,0,NCOVMAX); 
   ncodemax[1]=1;    ncodemax[1]=1;
   Ndum =ivector(-1,NCOVMAX);      Ndum =ivector(-1,NCOVMAX);  
   if (ncovmodel > 2)    cptcoveff=0;
     tricode(Tvar,nbcode,imx, Ndum); /**< Fills nbcode[Tvar[j]][l]; */    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]; as well as calculate cptcoveff or number of total effective dummy covariates*/
     }
     
     ncovcombmax=pow(2,cptcoveff);
     invalidvarcomb=ivector(0, ncovcombmax); 
     for(i=0;i<ncovcombmax;i++)
       invalidvarcomb[i]=0;
     
     /* Nbcode gives the value of the lth modality (currently 1 to 2) of jth covariate, in
        V2+V1*age, there are 3 covariates Tvar[2]=1 (V1).*/
     /* 1 to ncodemax[j] which is the maximum value of this jth covariate */
     
     /*  codtab=imatrix(1,100,1,10);*/ /* codtab[h,k]=( (h-1) - mod(k-1,2**(k-1) )/2**(k-1) */
     /*printf(" codtab[1,1],codtab[100,10]=%d,%d\n", codtab[1][1],codtabm(100,10));*/
     /* codtab gives the value 1 or 2 of the hth combination of k covariates (1 or 2).*/
     /* nbcode[Tvaraff[j]][codtabm(h,j)]) : if there are only 2 modalities for a covariate j, 
      * codtabm(h,j) gives its value classified at position h and nbcode gives how it is coded 
      * (currently 0 or 1) in the data.
      * In a loop on h=1 to 2**k, and a loop on j (=1 to k), we get the value of 
      * corresponding modality (h,j).
      */
   
   codtab=imatrix(1,100,1,10); /* codtab[h,k]=( (h-1) - mod(k-1,2**(k-1) )/2**(k-1) */  
   /*printf(" codtab[1,1],codtab[100,10]=%d,%d\n", codtab[1][1],codtab[100][10]);*/  
   h=0;    h=0;
   
   
   /*if (cptcovn > 0) */    /*if (cptcovn > 0) */
         
    
   m=pow(2,cptcoveff);    m=pow(2,cptcoveff);
     
   for(k=1;k<=cptcoveff; k++){ /* scans any effective covariate */  
     for(i=1; i <=pow(2,cptcoveff-k);i++){ /* i=1 to 8/1=8; i=1 to 8/2=4; i=1 to 8/8=1 */   
       for(j=1; j <= ncodemax[k]; j++){ /* For each modality of this covariate ncodemax=2*/  
         for(cpt=1; cpt <=pow(2,k-1); cpt++){  /* cpt=1 to 8/2**(3+1-1 or 3+1-3) =1 or 4 */   
           h++;  
           if (h>m)   
             h=1;  
           /**< codtab(h,k)  k   = codtab[h,k]=( (h-1) - mod(k-1,2**(k-1) )/2**(k-1) + 1            /**< codtab(h,k)  k   = codtab[h,k]=( (h-1) - mod(k-1,2**(k-1) )/2**(k-1) + 1
            *     h     1     2     3     4             * For k=4 covariates, h goes from 1 to m=2**k
            *______________________________               * codtabm(h,k)=  (1 & (h-1) >> (k-1)) + 1;
            *     1 i=1 1 i=1 1 i=1 1 i=1 1             * #define codtabm(h,k)  (1 & (h-1) >> (k-1))+1
            *     2     2     1     1     1             *     h\k   1     2     3     4   *  h-1\k-1  4  3  2  1          
            *     3 i=2 1     2     1     1             *______________________________   *______________________
            *     4     2     2     1     1             *     1 i=1 1 i=1 1 i=1 1 i=1 1   *     0     0  0  0  0 
            *     5 i=3 1 i=2 1     2     1             *     2     2     1     1     1   *     1     0  0  0  1 
            *     6     2     1     2     1             *     3 i=2 1     2     1     1   *     2     0  0  1  0 
            *     7 i=4 1     2     2     1             *     4     2     2     1     1   *     3     0  0  1  1 
            *     8     2     2     2     1             *     5 i=3 1 i=2 1     2     1   *     4     0  1  0  0 
            *     9 i=5 1 i=3 1 i=2 1     1             *     6     2     1     2     1   *     5     0  1  0  1 
            *    10     2     1     1     1             *     7 i=4 1     2     2     1   *     6     0  1  1  0 
            *    11 i=6 1     2     1     1             *     8     2     2     2     1   *     7     0  1  1  1 
            *    12     2     2     1     1             *     9 i=5 1 i=3 1 i=2 1     2   *     8     1  0  0  0 
            *    13 i=7 1 i=4 1     2     1                 *    10     2     1     1     2   *     9     1  0  0  1 
            *    14     2     1     2     1             *    11 i=6 1     2     1     2   *    10     1  0  1  0 
            *    15 i=8 1     2     2     1             *    12     2     2     1     2   *    11     1  0  1  1 
            *    16     2     2     2     1             *    13 i=7 1 i=4 1     2     2   *    12     1  1  0  0  
            */             *    14     2     1     2     2   *    13     1  1  0  1 
           codtab[h][k]=j;             *    15 i=8 1     2     2     2   *    14     1  1  1  0 
           /*codtab[h][Tvar[k]]=j;*/             *    16     2     2     2     2   *    15     1  1  1  1          
           printf("h=%d k=%d j=%d codtab[h][k]=%d Tvar[k]=%d codtab[h][Tvar[k]]=%d \n",h, k,j,codtab[h][k],Tvar[k],codtab[h][Tvar[k]]);             */                                     
         }     /* 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?
   }        * V1=1, V2=1, V3=2, V4=1 ?
   /* printf("codtab[1][2]=%d codtab[2][2]=%d",codtab[1][2],codtab[2][2]);        * h-1=4 and 4 is 0100 or reverse 0010, and +1 is 1121 ok.
      codtab[1][2]=1;codtab[2][2]=2; */       * h=6, 6-1=5, 5 is 0101, 1010, 2121, V1=2nd, V2=1st, V3=2nd, V4=1st.
   /* for(i=1; i <=m ;i++){        * In order to get the real value in the data, we use nbcode
      for(k=1; k <=cptcovn; k++){       * nbcode[Tvar[3][2nd]]=1 and nbcode[Tvar[4][1]]=0
        printf("i=%d k=%d %d %d ",i,k,codtab[i][k], cptcoveff);       * We are keeping this crazy system in order to be able (in the future?) 
      }       * to have more than 2 values (0 or 1) for a covariate.
      printf("\n");       * #define codtabm(h,k)  (1 & (h-1) >> (k-1))+1
      }       * h=6, k=2? h-1=5=0101, reverse 1010, +1=2121, k=2nd position: value is 1: codtabm(6,2)=1
      scanf("%d",i);*/       *              bbbbbbbb
        *              76543210     
        *   h-1        00000101 (6-1=5)
        *(h-1)>>(k-1)= 00000010 >> (2-1) = 1 right shift
        *           &
        *     1        00000001 (1)
        *              00000000        = 1 & ((h-1) >> (k-1))
        *          +1= 00000001 =1 
        *
        * h=14, k=3 => h'=h-1=13, k'=k-1=2
        *          h'      1101 =2^3+2^2+0x2^1+2^0
        *    >>k'            11
        *          &   00000001
        *            = 00000001
        *      +1    = 00000010=2    =  codtabm(14,3)   
        * Reverse h=6 and m=16?
        * cptcoveff=log(16)/log(2)=4 covariate: 6-1=5=0101 reversed=1010 +1=2121 =>V1=2, V2=1, V3=2, V4=1.
        * for (j=1 to cptcoveff) Vj=decodtabm(j,h,cptcoveff)
        * decodtabm(h,j,cptcoveff)= (((h-1) >> (j-1)) & 1) +1 
        * decodtabm(h,j,cptcoveff)= (h <= (1<<cptcoveff)?(((h-1) >> (j-1)) & 1) +1 : -1)
        * V3=decodtabm(14,3,2**4)=2
        *          h'=13   1101 =2^3+2^2+0x2^1+2^0
        *(h-1) >> (j-1)    0011 =13 >> 2
        *          &1 000000001
        *           = 000000001
        *         +1= 000000010 =2
        *                  2211
        *                  V1=1+1, V2=0+1, V3=1+1, V4=1+1
        *                  V3=2
                    * codtabm and decodtabm are identical
        */
   
   
  free_ivector(Ndum,-1,NCOVMAX);   free_ivector(Ndum,-1,NCOVMAX);
   
   
           
   /*------------ gnuplot -------------*/    /* Initialisation of ----------- gnuplot -------------*/
   strcpy(optionfilegnuplot,optionfilefiname);    strcpy(optionfilegnuplot,optionfilefiname);
   if(mle==-3)    if(mle==-3)
     strcat(optionfilegnuplot,"-mort");      strcat(optionfilegnuplot,"-MORT_");
   strcat(optionfilegnuplot,".gp");    strcat(optionfilegnuplot,".gp");
   
   if((ficgp=fopen(optionfilegnuplot,"w"))==NULL) {    if((ficgp=fopen(optionfilegnuplot,"w"))==NULL) {
     printf("Problem with file %s",optionfilegnuplot);      printf("Problem with file %s",optionfilegnuplot);
   }    }
   else{    else{
     fprintf(ficgp,"\n# %s\n", version);       fprintf(ficgp,"\n# IMaCh-%s\n", version); 
     fprintf(ficgp,"# %s\n", optionfilegnuplot);       fprintf(ficgp,"# %s\n", optionfilegnuplot); 
     //fprintf(ficgp,"set missing 'NaNq'\n");      //fprintf(ficgp,"set missing 'NaNq'\n");
     fprintf(ficgp,"set datafile missing 'NaNq'\n");      fprintf(ficgp,"set datafile missing 'NaNq'\n");
   }    }
   /*  fclose(ficgp);*/    /*  fclose(ficgp);*/
   /*--------- index.htm --------*/  
   
     /* Initialisation of --------- index.htm --------*/
   
   strcpy(optionfilehtm,optionfilefiname); /* Main html file */    strcpy(optionfilehtm,optionfilefiname); /* Main html file */
   if(mle==-3)    if(mle==-3)
     strcat(optionfilehtm,"-mort");      strcat(optionfilehtm,"-MORT_");
   strcat(optionfilehtm,".htm");    strcat(optionfilehtm,".htm");
   if((fichtm=fopen(optionfilehtm,"w"))==NULL)    {    if((fichtm=fopen(optionfilehtm,"w"))==NULL)    {
     printf("Problem with %s \n",optionfilehtm);      printf("Problem with %s \n",optionfilehtm);
Line 5814  run imach with mle=-1 to get a correct t Line 14018  run imach with mle=-1 to get a correct t
   else{    else{
   fprintf(fichtmcov,"<html><head>\n<title>IMaCh Cov %s</title></head>\n <body><font size=\"2\">%s <br> %s</font> \    fprintf(fichtmcov,"<html><head>\n<title>IMaCh Cov %s</title></head>\n <body><font size=\"2\">%s <br> %s</font> \
 <hr size=\"2\" color=\"#EC5E5E\"> \n\  <hr size=\"2\" color=\"#EC5E5E\"> \n\
 Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=%s<br>\n",\  Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s<br>\n",\
           optionfilehtmcov,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);            optionfilehtmcov,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);
   }    }
   
   fprintf(fichtm,"<html><head>\n<title>IMaCh %s</title></head>\n <body><font size=\"2\">%s <br> %s</font> \    fprintf(fichtm,"<html><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-2013-2022-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\  <hr size=\"2\" color=\"#EC5E5E\"> \n\
 Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=%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\  \n\
 <hr  size=\"2\" color=\"#EC5E5E\">\  <hr  size=\"2\" color=\"#EC5E5E\">\
  <ul><li><h4>Parameter files</h4>\n\   <ul><li><h4>Parameter files</h4>\n\
Line 5829  Title=%s <br>Datafile=%s Firstpass=%d La Line 14042  Title=%s <br>Datafile=%s Firstpass=%d La
  - Log file of the run: <a href=\"%s\">%s</a><br>\n\   - Log file of the run: <a href=\"%s\">%s</a><br>\n\
  - Gnuplot file name: <a href=\"%s\">%s</a><br>\n\   - Gnuplot file name: <a href=\"%s\">%s</a><br>\n\
  - Date and time at start: %s</ul>\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,\            optionfilefiname,optionfilext,optionfilefiname,optionfilext,\
           fileres,fileres,\            fileres,fileres,\
           filelog,filelog,optionfilegnuplot,optionfilegnuplot,strstart);            filelog,filelog,optionfilegnuplot,optionfilegnuplot,strstart);
Line 5837  Title=%s <br>Datafile=%s Firstpass=%d La Line 14050  Title=%s <br>Datafile=%s Firstpass=%d La
   
   strcpy(pathr,path);    strcpy(pathr,path);
   strcat(pathr,optionfilefiname);    strcat(pathr,optionfilefiname);
   #ifdef WIN32
     _chdir(optionfilefiname); /* Move to directory named optionfile */
   #else
   chdir(optionfilefiname); /* Move to directory named optionfile */    chdir(optionfilefiname); /* Move to directory named optionfile */
   #endif
             
       
   /* Calculates basic frequencies. Computes observed prevalence at single age    /* Calculates basic frequencies. Computes observed prevalence at single age 
                    and for any valid combination of covariates
      and prints on file fileres'p'. */       and prints on file fileres'p'. */
   freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint,strstart);    freqsummary(fileres, p, pstart, agemin, agemax, s, agev, nlstate, imx, Tvaraff, invalidvarcomb, nbcode, ncodemax,mint,anint,strstart, \
                 firstpass, lastpass,  stepm,  weightopt, model);
   
   fprintf(fichtm,"\n");    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\  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",\  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 */    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]    /* 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] */       so we point p on param[1][1] so that p[1] maps on param[1][1][1] */
   p=param[1][1]; /* *(*(*(param +1)+1)+0) */    p=param[1][1]; /* *(*(*(param +1)+1)+0) */
   
   globpr=0; /* To get the number ipmx of contributions and the sum of weights*/    globpr=0; /* To get the number ipmx of contributions and the sum of weights*/
     /* For mortality only */
   if (mle==-3){    if (mle==-3){
     ximort=matrix(1,NDIM,1,NDIM);       ximort=matrix(1,NDIM,1,NDIM); 
 /*     ximort=gsl_matrix_alloc(1,NDIM,1,NDIM); */      for(i=1;i<=NDIM;i++)
     cens=ivector(1,n);        for(j=1;j<=NDIM;j++)
     ageexmed=vector(1,n);          ximort[i][j]=0.;
     agecens=vector(1,n);      /*     ximort=gsl_matrix_alloc(1,NDIM,1,NDIM); */
     dcwave=ivector(1,n);      cens=ivector(firstobs,lastobs);
        ageexmed=vector(firstobs,lastobs);
       agecens=vector(firstobs,lastobs);
       dcwave=ivector(firstobs,lastobs);
                   
     for (i=1; i<=imx; i++){      for (i=1; i<=imx; i++){
       dcwave[i]=-1;        dcwave[i]=-1;
       for (m=firstpass; m<=lastpass; m++)        for (m=firstpass; m<=lastpass; m++)
Line 5878  Interval (in months) between two waves: Line 14121  Interval (in months) between two waves:
           break;            break;
         }          }
     }      }
       
     for (i=1; i<=imx; i++) {      for (i=1; i<=imx; i++) {
       if (wav[i]>0){        if (wav[i]>0){
         ageexmed[i]=agev[mw[1][i]][i];          ageexmed[i]=agev[mw[1][i]][i];
         j=wav[i];          j=wav[i];
         agecens[i]=1.;           agecens[i]=1.; 
           
         if (ageexmed[i]> 1 && wav[i] > 0){          if (ageexmed[i]> 1 && wav[i] > 0){
           agecens[i]=agev[mw[j][i]][i];            agecens[i]=agev[mw[j][i]][i];
           cens[i]= 1;            cens[i]= 1;
Line 5901  Interval (in months) between two waves: Line 14144  Interval (in months) between two waves:
         ximort[i][j]=(i == j ? 1.0 : 0.0);          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  #ifdef GSL
     printf("GSL optimization\n");  fprintf(ficlog,"Powell\n");      printf("GSL optimization\n");  fprintf(ficlog,"Powell\n");
 #elsedef  #else
     printf("Powell\n");  fprintf(ficlog,"Powell\n");      printf("Powell\n");  fprintf(ficlog,"Powell\n");
 #endif  #endif
     strcpy(filerespow,"pow-mort");       strcpy(filerespow,"POW-MORT_"); 
     strcat(filerespow,fileres);      strcat(filerespow,fileresu);
     if((ficrespow=fopen(filerespow,"w"))==NULL) {      if((ficrespow=fopen(filerespow,"w"))==NULL) {
       printf("Problem with resultfile: %s\n", filerespow);        printf("Problem with resultfile: %s\n", filerespow);
       fprintf(ficlog,"Problem with resultfile: %s\n", filerespow);        fprintf(ficlog,"Problem with resultfile: %s\n", filerespow);
     }      }
 #ifdef GSL  #ifdef GSL
     fprintf(ficrespow,"# GSL optimization\n# iter -2*LL");      fprintf(ficrespow,"# GSL optimization\n# iter -2*LL");
 #elsedef  #else
     fprintf(ficrespow,"# Powell\n# iter -2*LL");      fprintf(ficrespow,"# Powell\n# iter -2*LL");
 #endif  #endif
     /*  for (i=1;i<=nlstate;i++)      /*  for (i=1;i<=nlstate;i++)
Line 5953  Interval (in months) between two waves: Line 14196  Interval (in months) between two waves:
       
     /* Initialize method and iterate */      /* Initialize method and iterate */
     /*     p[1]=0.0268; p[NDIM]=0.083; */      /*     p[1]=0.0268; p[NDIM]=0.083; */
 /*     gsl_vector_set(x, 0, 0.0268); */      /*     gsl_vector_set(x, 0, 0.0268); */
 /*     gsl_vector_set(x, 1, 0.083); */      /*     gsl_vector_set(x, 1, 0.083); */
     gsl_vector_set(x, 0, p[1]);      gsl_vector_set(x, 0, p[1]);
     gsl_vector_set(x, 1, p[2]);      gsl_vector_set(x, 1, p[2]);
   
Line 6007  Interval (in months) between two waves: Line 14250  Interval (in months) between two waves:
 #endif    #endif  
     fclose(ficrespow);      fclose(ficrespow);
           
     hesscov(matcov, p, NDIM, delti, 1e-4, gompertz);       hesscov(matcov, hess, p, NDIM, delti, 1e-4, gompertz); 
   
     for(i=1; i <=NDIM; i++)      for(i=1; i <=NDIM; i++)
       for(j=i+1;j<=NDIM;j++)        for(j=i+1;j<=NDIM;j++)
         matcov[i][j]=matcov[j][i];                                  matcov[i][j]=matcov[j][i];
           
     printf("\nCovariance matrix\n ");      printf("\nCovariance matrix\n ");
       fprintf(ficlog,"\nCovariance matrix\n ");
     for(i=1; i <=NDIM; i++) {      for(i=1; i <=NDIM; i++) {
       for(j=1;j<=NDIM;j++){         for(j=1;j<=NDIM;j++){ 
         printf("%f ",matcov[i][j]);                                  printf("%f ",matcov[i][j]);
                                   fprintf(ficlog,"%f ",matcov[i][j]);
       }        }
       printf("\n ");        printf("\n ");  fprintf(ficlog,"\n ");
     }      }
           
     printf("iter=%d MLE=%f Eq=%lf*exp(%lf*(age-%d))\n",iter,-gompertz(p),p[1],p[2],agegomp);      printf("iter=%d MLE=%f Eq=%lf*exp(%lf*(age-%d))\n",iter,-gompertz(p),p[1],p[2],agegomp);
     for (i=1;i<=NDIM;i++)       for (i=1;i<=NDIM;i++) {
       printf("%f [%f ; %f]\n",p[i],p[i]-2*sqrt(matcov[i][i]),p[i]+2*sqrt(matcov[i][i]));        printf("%f [%f ; %f]\n",p[i],p[i]-2*sqrt(matcov[i][i]),p[i]+2*sqrt(matcov[i][i]));
         fprintf(ficlog,"%f [%f ; %f]\n",p[i],p[i]-2*sqrt(matcov[i][i]),p[i]+2*sqrt(matcov[i][i]));
     lsurv=vector(1,AGESUP);      }
     lpop=vector(1,AGESUP);      lsurv=vector(agegomp,AGESUP);
     tpop=vector(1,AGESUP);      lpop=vector(agegomp,AGESUP);
       tpop=vector(agegomp,AGESUP);
     lsurv[agegomp]=100000;      lsurv[agegomp]=100000;
           
     for (k=agegomp;k<=AGESUP;k++) {      for (k=agegomp;k<=AGESUP;k++) {
Line 6056  Interval (in months) between two waves: Line 14302  Interval (in months) between two waves:
           
           
     replace_back_to_slash(pathc,pathcd); /* Even gnuplot wants a / */      replace_back_to_slash(pathc,pathcd); /* Even gnuplot wants a / */
     printinggnuplotmort(fileres, optionfilefiname,ageminpar,agemaxpar,fage, pathc,p);                  ageminpar=50;
                       agemaxpar=100;
     printinghtmlmort(fileres,title,datafile, firstpass, lastpass, \      if(ageminpar == AGEOVERFLOW ||agemaxpar == AGEOVERFLOW){
           printf("Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
   This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
   Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
           fprintf(ficlog,"Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
   This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
   Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
       }else{
                           printf("Warning! ageminpar %f and agemaxpar %f have been fixed because for simplification until it is fixed...\n\n",ageminpar,agemaxpar);
                           fprintf(ficlog,"Warning! ageminpar %f and agemaxpar %f have been fixed because for simplification until it is fixed...\n\n",ageminpar,agemaxpar);
         printinggnuplotmort(fileresu, optionfilefiname,ageminpar,agemaxpar,fage, pathc,p);
                   }
       printinghtmlmort(fileresu,title,datafile, firstpass, lastpass, \
                      stepm, weightopt,\                       stepm, weightopt,\
                      model,imx,p,matcov,agemortsup);                       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);
 #ifdef GSL  
     free_ivector(cens,1,n);  
     free_vector(agecens,1,n);  
     free_ivector(dcwave,1,n);  
     free_matrix(ximort,1,NDIM,1,NDIM);      free_matrix(ximort,1,NDIM,1,NDIM);
       free_ivector(dcwave,firstobs,lastobs);
       free_vector(agecens,firstobs,lastobs);
       free_vector(ageexmed,firstobs,lastobs);
       free_ivector(cens,firstobs,lastobs);
   #ifdef GSL
 #endif  #endif
   } /* Endof if mle==-3 */    } /* Endof if mle==-3 mortality only */
       /* Standard  */
   else{ /* For mle >=1 */    else{ /* For mle !=- 3, could be 0 or 1 or 4 etc. */
     globpr=0;/* debug */      globpr=0;/* Computes sum of likelihood for globpr=1 and funcone */
       /* Computes likelihood for initial parameters, uses funcone to compute gpimx and gsw */
     likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */      likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
     printf("First Likeli=%12.6f ipmx=%ld sw=%12.6f",fretone,ipmx,sw);      printf("First Likeli=%12.6f ipmx=%ld sw=%12.6f",fretone,ipmx,sw);
     for (k=1; k<=npar;k++)      for (k=1; k<=npar;k++)
       printf(" %d %8.5f",k,p[k]);        printf(" %d %8.5f",k,p[k]);
     printf("\n");      printf("\n");
     globpr=1; /* to print the contributions */      if(mle>=1){ /* Could be 1 or 2, Real Maximization */
         /* mlikeli uses func not funcone */
         /* for(i=1;i<nlstate;i++){ */
         /*        /\*reducing xi for 1 to npar to 1 to ncovmodel; *\/ */
         /*    mlikeli(ficres,p, ncovmodel, ncovmodel, nlstate, ftol, funcnoprod); */
         /* } */
         mlikeli(ficres,p, npar, ncovmodel, nlstate, ftol, func);
       }
       if(mle==0) {/* No optimization, will print the likelihoods for the datafile */
         globpr=0;/* Computes sum of likelihood for globpr=1 and funcone */
         /* Computes likelihood for initial parameters, uses funcone to compute gpimx and gsw */
         likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
       }
       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 */      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);      printf("Second Likeli=%12.6f ipmx=%ld sw=%12.6f",fretone,ipmx,sw);
             /* exit(0); */
     for (k=1; k<=npar;k++)      for (k=1; k<=npar;k++)
       printf(" %d %8.5f",k,p[k]);        printf(" %d %8.5f",k,p[k]);
     printf("\n");      printf("\n");
     if(mle>=1){ /* Could be 1 or 2 */  
       mlikeli(ficres,p, npar, ncovmodel, nlstate, ftol, func);  
     }  
           
     /*--------- results files --------------*/      /*--------- results files --------------*/
     fprintf(ficres,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle= 0 weight=%d\nmodel=%s\n", title, datafile, lastobs, firstpass,lastpass,ftol, stepm, ncovcol, nlstate, ndeath, maxwav, weightopt,model);      /* fprintf(ficres,"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");      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");      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]);
         }else if(Typevar[j]==3) { /* TO VERIFY */
           printf("  +    V%d*V%d*age ",Tvard[Tposprod[j]][1],Tvard[Tposprod[j]][2]);
           fprintf(ficres,"  +    V%d*V%d*age ",Tvard[Tposprod[j]][1],Tvard[Tposprod[j]][2]);
           fprintf(ficlog,"  +    V%d*V%d*age ",Tvard[Tposprod[j]][1],Tvard[Tposprod[j]][2]);
           fprintf(fichtm, "<th>+  V%d*V%d*age</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(i=1,jk=1; i <=nlstate; i++){
       for(k=1; k <=(nlstate+ndeath); k++){        for(k=1; k <=(nlstate+ndeath); k++){
         if (k != i) {          if (k != i) {
             fprintf(fichtm, "<tr>");
           printf("%d%d ",i,k);            printf("%d%d ",i,k);
           fprintf(ficlog,"%d%d ",i,k);            fprintf(ficlog,"%d%d ",i,k);
           fprintf(ficres,"%1d%1d ",i,k);            fprintf(ficres,"%1d%1d ",i,k);
             fprintf(fichtm, "<td>%1d%1d</td>",i,k);
           for(j=1; j <=ncovmodel; j++){            for(j=1; j <=ncovmodel; j++){
             printf("%lf ",p[jk]);              printf("%12.7f ",p[jk]);
             fprintf(ficlog,"%lf ",p[jk]);              fprintf(ficlog,"%12.7f ",p[jk]);
             fprintf(ficres,"%lf ",p[jk]);              fprintf(ficres,"%12.7f ",p[jk]);
               fprintf(fichtm, "<td>%12.7f</td>",p[jk]);
             jk++;               jk++; 
           }            }
           printf("\n");            printf("\n");
           fprintf(ficlog,"\n");            fprintf(ficlog,"\n");
           fprintf(ficres,"\n");            fprintf(ficres,"\n");
             fprintf(fichtm, "</tr>\n");
         }          }
       }        }
     }      }
     if(mle!=0){      /* fprintf(fichtm,"</tr>\n"); */
       /* Computing hessian and covariance matrix */      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 */        ftolhess=ftol; /* Usually correct */
       hesscov(matcov, p, npar, delti, ftolhess, func);        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]);
           }else if(Typevar[j]==3) { /* TO VERIFY */
             fprintf(fichtm, "<th>+  V%d*V%d*age</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++){
                 wald=p[jk]/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");      fprintf(ficres,"# Scales (for hessian or gradient estimation)\n");
     printf("# Scales (for hessian or gradient estimation)\n");      printf("# Scales (for hessian or gradient estimation)\n");
     fprintf(ficlog,"# Scales (for hessian or gradient estimation)\n");      fprintf(ficlog,"# Scales (for hessian or gradient estimation)\n");
Line 6143  Interval (in months) between two waves: Line 14522  Interval (in months) between two waves:
     }      }
           
     fprintf(ficres,"# Covariance matrix \n# 121 Var(a12)\n# 122 Cov(b12,a12) Var(b12)\n#   ...\n# 232 Cov(b23,a12)  Cov(b23,b12) ... Var (b23)\n");      fprintf(ficres,"# Covariance matrix \n# 121 Var(a12)\n# 122 Cov(b12,a12) Var(b12)\n#   ...\n# 232 Cov(b23,a12)  Cov(b23,b12) ... Var (b23)\n");
     if(mle>=1)      if(mle >= 1) /* Too big for the screen */
       printf("# Covariance matrix \n# 121 Var(a12)\n# 122 Cov(b12,a12) Var(b12)\n#   ...\n# 232 Cov(b23,a12)  Cov(b23,b12) ... Var (b23)\n");        printf("# Covariance matrix \n# 121 Var(a12)\n# 122 Cov(b12,a12) Var(b12)\n#   ...\n# 232 Cov(b23,a12)  Cov(b23,b12) ... Var (b23)\n");
     fprintf(ficlog,"# Covariance matrix \n# 121 Var(a12)\n# 122 Cov(b12,a12) Var(b12)\n#   ...\n# 232 Cov(b23,a12)  Cov(b23,b12) ... Var (b23)\n");      fprintf(ficlog,"# Covariance matrix \n# 121 Var(a12)\n# 122 Cov(b12,a12) Var(b12)\n#   ...\n# 232 Cov(b23,a12)  Cov(b23,b12) ... Var (b23)\n");
     /* # 121 Var(a12)\n\ */      /* # 121 Var(a12)\n\ */
Line 6206  Interval (in months) between two waves: Line 14585  Interval (in months) between two waves:
                         fprintf(ficres," Var(%s%1d%1d)",ca,i,j);                          fprintf(ficres," Var(%s%1d%1d)",ca,i,j);
                       }else{                        }else{
                         if(mle>=1)                          if(mle>=1)
                           printf(" %.5e",matcov[jj][ll]);                             printf(" %.7e",matcov[jj][ll]); 
                         fprintf(ficlog," %.5e",matcov[jj][ll]);                           fprintf(ficlog," %.7e",matcov[jj][ll]); 
                         fprintf(ficres," %.5e",matcov[jj][ll]);                           fprintf(ficres," %.7e",matcov[jj][ll]); 
                       }                        }
                     }                      }
                   }                    }
Line 6227  Interval (in months) between two waves: Line 14606  Interval (in months) between two waves:
           
     fflush(ficlog);      fflush(ficlog);
     fflush(ficres);      fflush(ficres);
           while(fgets(line, MAXLINE, ficpar)) {
     while((c=getc(ficpar))=='#' && c!= EOF){        /* If line starts with a # it is a comment */
       ungetc(c,ficpar);        if (line[0] == '#') {
       fgets(line, MAXLINE, ficpar);          numlinepar++;
       fputs(line,stdout);          fputs(line,stdout);
       fputs(line,ficparo);          fputs(line,ficparo);
           fputs(line,ficlog);
           fputs(line,ficres);
           continue;
         }else
           break;
     }      }
     ungetc(c,ficpar);      
       /* while((c=getc(ficpar))=='#' && c!= EOF){ */
       /*   ungetc(c,ficpar); */
       /*   fgets(line, MAXLINE, ficpar); */
       /*   fputs(line,stdout); */
       /*   fputs(line,ficparo); */
       /* } */
       /* ungetc(c,ficpar); */
           
     estepm=0;      estepm=0;
     fscanf(ficpar,"agemin=%lf agemax=%lf bage=%lf fage=%lf estepm=%d\n",&ageminpar,&agemaxpar, &bage, &fage, &estepm);      if((num_filled=sscanf(line,"agemin=%lf agemax=%lf bage=%lf fage=%lf estepm=%d ftolpl=%lf\n",&ageminpar,&agemaxpar, &bage, &fage, &estepm, &ftolpl)) !=EOF){
         
         if (num_filled != 6) {
           printf("Error: Not 6 parameters in line, for example:agemin=60 agemax=95 bage=55 fage=95 estepm=24 ftolpl=6e-4\n, your line=%s . Probably you are running an older format.\n",line);
           fprintf(ficlog,"Error: Not 6 parameters in line, for example:agemin=60 agemax=95 bage=55 fage=95 estepm=24 ftolpl=6e-4\n, your line=%s . Probably you are running an older format.\n",line);
           goto end;
         }
         printf("agemin=%lf agemax=%lf bage=%lf fage=%lf estepm=%d ftolpl=%lf\n",ageminpar,agemaxpar, bage, fage, estepm, ftolpl);
       }
       /* 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 */
       
       /* fscanf(ficpar,"agemin=%lf agemax=%lf bage=%lf fage=%lf estepm=%d ftolpl=%\n",&ageminpar,&agemaxpar, &bage, &fage, &estepm); */
     if (estepm==0 || estepm < stepm) estepm=stepm;      if (estepm==0 || estepm < stepm) estepm=stepm;
     if (fage <= 2) {      if (fage <= 2) {
       bage = ageminpar;        bage = ageminpar;
Line 6245  Interval (in months) between two waves: Line 14648  Interval (in months) between two waves:
     }      }
           
     fprintf(ficres,"# agemin agemax for life expectancy, bage fage (if mle==0 ie no data nor Max likelihood).\n");      fprintf(ficres,"# agemin agemax for life expectancy, bage fage (if mle==0 ie no data nor Max likelihood).\n");
     fprintf(ficres,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d\n",ageminpar,agemaxpar,bage,fage, estepm);      fprintf(ficres,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d ftolpl=%e\n",ageminpar,agemaxpar,bage,fage, estepm, ftolpl);
     fprintf(ficparo,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d\n",ageminpar,agemaxpar,bage,fage, estepm);      fprintf(ficparo,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d, ftolpl=%e\n",ageminpar,agemaxpar,bage,fage, estepm, ftolpl);
                       
     while((c=getc(ficpar))=='#' && c!= EOF){      /* Other stuffs, more or less useful */    
       ungetc(c,ficpar);      while(fgets(line, MAXLINE, ficpar)) {
       fgets(line, MAXLINE, ficpar);        /* If line starts with a # it is a comment */
       fputs(line,stdout);        if (line[0] == '#') {
       fputs(line,ficparo);          numlinepar++;
           fputs(line,stdout);
           fputs(line,ficparo);
           fputs(line,ficlog);
           fputs(line,ficres);
           continue;
         }else
           break;
     }      }
     ungetc(c,ficpar);  
           if((num_filled=sscanf(line,"begin-prev-date=%lf/%lf/%lf end-prev-date=%lf/%lf/%lf mov_average=%d\n",&jprev1, &mprev1,&anprev1,&jprev2, &mprev2,&anprev2,&mobilav)) !=EOF){
     fscanf(ficpar,"begin-prev-date=%lf/%lf/%lf end-prev-date=%lf/%lf/%lf mov_average=%d\n",&jprev1, &mprev1,&anprev1,&jprev2, &mprev2,&anprev2,&mobilav);        
     fprintf(ficparo,"begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf mov_average=%d\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,mobilav);        if (num_filled != 7) {
     fprintf(ficres,"begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf mov_average=%d\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,mobilav);          printf("Error: Not 7 (data)parameters in line but %d, for example:begin-prev-date=1/1/1990 end-prev-date=1/6/2004  mov_average=0\n, your line=%s . Probably you are running an older format.\n",num_filled,line);
     printf("begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf mov_average=%d\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,mobilav);          fprintf(ficlog,"Error: Not 7 (data)parameters in line but %d, for example:begin-prev-date=1/1/1990 end-prev-date=1/6/2004  mov_average=0\n, your line=%s . Probably you are running an older format.\n",num_filled,line);
     fprintf(ficlog,"begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf mov_average=%d\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,mobilav);          goto end;
             }
     while((c=getc(ficpar))=='#' && c!= EOF){        printf("begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf mov_average=%d\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,mobilav);
       ungetc(c,ficpar);        fprintf(ficparo,"begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf mov_average=%d\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,mobilav);
       fgets(line, MAXLINE, ficpar);        fprintf(ficres,"begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf mov_average=%d\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,mobilav);
       fputs(line,stdout);        fprintf(ficlog,"begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf mov_average=%d\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,mobilav);
       fputs(line,ficparo);      }
   
       while(fgets(line, MAXLINE, ficpar)) {
         /* If line starts with a # it is a comment */
         if (line[0] == '#') {
           numlinepar++;
           fputs(line,stdout);
           fputs(line,ficparo);
           fputs(line,ficlog);
           fputs(line,ficres);
           continue;
         }else
           break;
     }      }
     ungetc(c,ficpar);  
           
           
     dateprev1=anprev1+(mprev1-1)/12.+(jprev1-1)/365.;      dateprev1=anprev1+(mprev1-1)/12.+(jprev1-1)/365.;
     dateprev2=anprev2+(mprev2-1)/12.+(jprev2-1)/365.;      dateprev2=anprev2+(mprev2-1)/12.+(jprev2-1)/365.;
           
     fscanf(ficpar,"pop_based=%d\n",&popbased);      if((num_filled=sscanf(line,"pop_based=%d\n",&popbased)) !=EOF){
     fprintf(ficparo,"pop_based=%d\n",popbased);           if (num_filled != 1) {
     fprintf(ficres,"pop_based=%d\n",popbased);             printf("Error: Not 1 (data)parameters in line but %d, for example:pop_based=0\n, your line=%s . Probably you are running an older format.\n",num_filled,line);
               fprintf(ficlog,"Error: Not 1 (data)parameters in line but %d, for example: pop_based=1\n, your line=%s . Probably you are running an older format.\n",num_filled,line);
     while((c=getc(ficpar))=='#' && c!= EOF){          goto end;
       ungetc(c,ficpar);        }
       fgets(line, MAXLINE, ficpar);        printf("pop_based=%d\n",popbased);
       fputs(line,stdout);        fprintf(ficlog,"pop_based=%d\n",popbased);
       fputs(line,ficparo);        fprintf(ficparo,"pop_based=%d\n",popbased);   
         fprintf(ficres,"pop_based=%d\n",popbased);   
     }      }
     ungetc(c,ficpar);       
           /* Results */
     fscanf(ficpar,"prevforecast=%d starting-proj-date=%lf/%lf/%lf final-proj-date=%lf/%lf/%lf mobil_average=%d\n",&prevfcast,&jproj1,&mproj1,&anproj1,&jproj2,&mproj2,&anproj2,&mobilavproj);      /* Value of covariate in each resultine will be compututed (if product) and sorted according to model rank */
     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);      /* It is precov[] because we need the varying age in order to compute the real cov[] of the model equation */  
     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);      precov=matrix(1,MAXRESULTLINESPONE,1,NCOVMAX+1);
     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);      endishere=0;
     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);      nresult=0;
     /* day and month of proj2 are not used but only year anproj2.*/      parameterline=0;
           do{
             if(!fgets(line, MAXLINE, ficpar)){
           endishere=1;
           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,"prevbackcast=%[^\n]\n",modeltemp))
           parameterline=12;
         else if(sscanf(line,"result:%[^\n]\n",modeltemp)){
           parameterline=13;
         }
         else{
           parameterline=14;
         }
         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 && (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("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:
           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)){
             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);
             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);
             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(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);
             /* day and month of back2 are not used but only year anback2.*/
             dateback1=anback1+(mback1-1)/12.+(jback1-1)/365.;
             dateback2=anback2+(mback2-1)/12.+(jback2-1)/365.;
             prvbackcast = 1;
           } 
           else if((num_filled=sscanf(line,"prevbackcast=%d yearsbproj=%lf mobil_average=%d\n",&prevbcast,&yrbproj,&mobilavproj)) ==3){/* && (num_filled == 3))*/
             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:
           num_filled=sscanf(line,"result:%[^\n]\n",resultlineori);
           nresult++; /* Sum of resultlines */
           /* printf("Result %d: result:%s\n",nresult, resultlineori); */
           /* removefirstspace(&resultlineori); */
           
           if(strstr(resultlineori,"v") !=0){
             printf("Error. 'v' must be in upper case 'V' result: %s ",resultlineori);
             fprintf(ficlog,"Error. 'v' must be in upper case result: %s ",resultlineori);fflush(ficlog);
             return 1;
           }
           trimbb(resultline, resultlineori); /* Suppressing double blank in the resultline */
           /* printf("Decoderesult resultline=\"%s\" resultlineori=\"%s\"\n", resultline, resultlineori); */
           if(nresult > MAXRESULTLINESPONE-1){
             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\nYou can use the 'r' parameter file '%s' which uses option mle=0 to get other results. ",MAXRESULTLINESPONE-1,nresult,rfileres);
             goto end;
           }
           
           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);
           } else
             goto end;
           break;
         case 14:
           printf("Error: Unknown command '%s'\n",line);
           fprintf(ficlog,"Error: Unknown command '%s'\n",line);
           if(line[0] == ' ' || line[0] == '\n'){
             printf("It should not be an empty line '%s'\n",line);
             fprintf(ficlog,"It should not be an empty line '%s'\n",line);
           }         
           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 */
           
      /* freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint); */      /* freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint); */
     /* ,dateprev1,dateprev2,jprev1, mprev1,anprev1,jprev2, mprev2,anprev2); */      /* ,dateprev1,dateprev2,jprev1, mprev1,anprev1,jprev2, mprev2,anprev2); */
           
     replace_back_to_slash(pathc,pathcd); /* Even gnuplot wants a / */      replace_back_to_slash(pathc,pathcd); /* Even gnuplot wants a / */
     printinggnuplot(fileres, optionfilefiname,ageminpar,agemaxpar,fage, pathc,p);      if(ageminpar == AGEOVERFLOW ||agemaxpar == -AGEOVERFLOW){
             printf("Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
     printinghtml(fileres,title,datafile, firstpass, lastpass, stepm, weightopt,\  This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                  model,imx,jmin,jmax,jmean,rfileres,popforecast,estepm,\  Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
                  jprev1,mprev1,anprev1,jprev2,mprev2,anprev2);        fprintf(ficlog,"Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
   This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
   Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
       }else{
         /* printinggnuplot(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);
         }
               
    /*------------ free_vector  -------------*/        printinggnuplot(fileresu, optionfilefiname,ageminpar,agemaxpar,bage, fage, prevfcast, prevbcast, pathc,p, (int)anprojd-bage, (int)anbackd-fage);/* HERE valgrind Tvard*/
    /*  chdir(path); */      }
        printinghtml(fileresu,title,datafile, firstpass, lastpass, stepm, weightopt, \
     free_ivector(wav,1,imx);                   model,imx,jmin,jmax,jmean,rfileres,popforecast,mobilav,prevfcast,mobilavproj,prevbcast, estepm, \
     free_imatrix(dh,1,lastpass-firstpass+1,1,imx);                   jprev1,mprev1,anprev1,dateprev1, dateprojd, datebackd,jprev2,mprev2,anprev2,dateprev2,dateprojf, datebackf);
     free_imatrix(bh,1,lastpass-firstpass+1,1,imx);                  
     free_imatrix(mw,1,lastpass-firstpass+1,1,imx);         /*------------ free_vector  -------------*/
     free_lvector(num,1,n);      /*  chdir(path); */
     free_vector(agedc,1,n);                  
       /* free_ivector(wav,1,imx); */  /* Moved after last prevalence call */
       /* 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,firstobs,lastobs);
       free_vector(agedc,firstobs,lastobs);
     /*free_matrix(covar,0,NCOVMAX,1,n);*/      /*free_matrix(covar,0,NCOVMAX,1,n);*/
     /*free_matrix(covar,1,NCOVMAX,1,n);*/      /*free_matrix(covar,1,NCOVMAX,1,n);*/
     fclose(ficparo);      fclose(ficparo);
     fclose(ficres);      fclose(ficres);
                   
                   
       /* Other results (useful)*/
                   
                   
     /*--------------- Prevalence limit  (period or stable prevalence) --------------*/      /*--------------- Prevalence limit  (period or stable prevalence) --------------*/
 #include "prevlim.h"  /* Use ficrespl, ficlog */      /*#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);      fclose(ficrespl);
   
 #ifdef FREEEXIT2  
 #include "freeexit2.h"  
 #endif  
   
     /*------------- h Pij x at various ages ------------*/      /*------------- h Pij x at various ages ------------*/
 #include "hpijx.h"      /*#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);      fclose(ficrespij);
       
   /*-------------- Variance of one-step probabilities---*/      /* ncovcombmax=  pow(2,cptcoveff); */
       /*-------------- Variance of one-step probabilities for a combination ij or for nres ?---*/
     k=1;      k=1;
     varprob(optionfilefiname, matcov, p, delti, nlstate, bage, fage,k,Tvar,nbcode, ncodemax,strstart);      varprob(optionfilefiname, matcov, p, delti, nlstate, bage, fage,k,Tvar,nbcode, ncodemax,strstart);
       
       /* Prevalence for each covariate combination in probs[age][status][cov] */
     probs= ma3x(1,AGESUP,1,NCOVMAX, 1,NCOVMAX);      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<=NCOVMAX;j++)        for(j=1;j<=nlstate+ndeath;j++) /* ndeath is useless but a necessity to be compared with mobaverages */
         for(k=1;k<=NCOVMAX;k++)          for(k=1;k<=ncovcombmax;k++)
           probs[i][j][k]=0.;            probs[i][j][k]=0.;
       prevalence(probs, ageminpar, agemaxpar, s, agev, nlstate, imx, Tvar, nbcode, 
                  ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass);
       if (mobilav!=0 ||mobilavproj !=0 ) {
         mobaverages= ma3x(AGEINF, AGESUP,1,nlstate+ndeath, 1,ncovcombmax);
         for(i=AGEINF;i<=AGESUP;i++)
           for(j=1;j<=nlstate+ndeath;j++)
             for(k=1;k<=ncovcombmax;k++)
               mobaverages[i][j][k]=0.;
         mobaverage=mobaverages;
         if (mobilav!=0) {
           printf("Movingaveraging observed prevalence\n");
           fprintf(ficlog,"Movingaveraging observed prevalence\n");
           if (movingaverage(probs, ageminpar, agemaxpar, mobaverage, mobilav)!=0){
             fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
             printf(" Error in movingaverage mobilav=%d\n",mobilav);
           }
         } 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 ------------------*/      /*---------- 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(fileres, anproj1, mproj1, jproj1, agemin, agemax, dateprev1, dateprev2, mobilavproj, bage, fage, firstpass, lastpass, anproj2, p, cptcoveff);        /*This done previously after freqsummary.*/
       /* (popforecast==1) populforecast(fileres, anpyram,mpyram,jpyram, agemin,agemax, dateprev1, dateprev2,mobilav, agedeb, fage, popforecast, popfile, anpyram1,p, i1);*/        /*   dateprojd=(jproj1+12*mproj1+365*anproj1)/365; */
       /*      }  */        /*   dateprojf=(jproj2+12*mproj2+365*anproj2)/365; */
       /*      else{ */        
       /*        erreur=108; */        /* } else if (prvforecast==2){ */
       /*        printf("Warning %d!! You can only forecast the prevalences if the optimization\n  has been performed with stepm = 1 (month) instead of %d or model=. instead of '%s'\n", erreur, stepm, model); */        /*   /\*    if(stepm ==1){*\/ */
       /*        fprintf(ficlog,"Warning %d!! You can only forecast the prevalences if the optimization\n  has been performed with stepm = 1 (month) instead of %d or model=. instead of '%s'\n", erreur, stepm, model); */        /*   /\*  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);
       }
     /* Computes prevalence between agemin (i.e minimal age computed) and no more ageminpar */  
       /* Prevbcasting */
     prevalence(probs, agemin, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass);      if(prevbcast==1){
     /*  printf("ageminpar=%f, agemax=%f, s[lastpass][imx]=%d, agev[lastpass][imx]=%f, nlstate=%d, imx=%d,  mint[lastpass][imx]=%f, anint[lastpass][imx]=%f,dateprev1=%f, dateprev2=%f, firstpass=%d, lastpass=%d\n",\        ddnewms=matrix(1,nlstate+ndeath,1,nlstate+ndeath);        
         ageminpar, agemax, s[lastpass][imx], agev[lastpass][imx], nlstate, imx, mint[lastpass][imx],anint[lastpass][imx], dateprev1, dateprev2, firstpass, lastpass);        ddoldms=matrix(1,nlstate+ndeath,1,nlstate+ndeath);        
     */        ddsavms=matrix(1,nlstate+ndeath,1,nlstate+ndeath);
   
         /*--------------- 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);
   
         /* /\* prevbackforecast(fileresu, mobaverage, anback1, mback1, jback1, agemin, agemax, dateprev1, dateprev2, *\/ */
         /* /\*                   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);
   
     if (mobilav!=0) {        
       mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);        varbprlim(fileresu, nresult, mobaverage, mobilavproj, bage, fage, bprlim, &ncvyear, ftolpl, p, matcov, delti, stepm, cptcoveff);
       if (movingaverage(probs, bage, fage, mobaverage,mobilav)!=0){  
         fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);  
         printf(" Error in movingaverage mobilav=%d\n",mobilav);  
       }  
     }  
   
         
         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------------ */
   
       free_ivector(wav,1,imx);
       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);   
                   
                   
     /*---------- Health expectancies, no variances ------------*/      /*---------- Health expectancies, no variances ------------*/
                   
     strcpy(filerese,"e");      strcpy(filerese,"E_");
     strcat(filerese,fileres);      strcat(filerese,fileresu);
     if((ficreseij=fopen(filerese,"w"))==NULL) {      if((ficreseij=fopen(filerese,"w"))==NULL) {
       printf("Problem with Health Exp. resultfile: %s\n", filerese); exit(0);        printf("Problem with Health Exp. resultfile: %s\n", filerese); exit(0);
       fprintf(ficlog,"Problem with Health Exp. resultfile: %s\n", filerese); exit(0);        fprintf(ficlog,"Problem with Health Exp. resultfile: %s\n", filerese); exit(0);
     }      }
     printf("Computing Health Expectancies: result on file '%s' \n", filerese);      printf("Computing Health Expectancies: result on file '%s' ...", filerese);fflush(stdout);
     fprintf(ficlog,"Computing Health Expectancies: result on file '%s' \n", filerese);      fprintf(ficlog,"Computing Health Expectancies: result on file '%s' ...", filerese);fflush(ficlog);
     /*for(cptcov=1,k=0;cptcov<=i1;cptcov++){  
       for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*/  
             
     for (k=1; k <= (int) pow(2,cptcoveff); k++){  
         fprintf(ficreseij,"\n#****** ");  
         for(j=1;j<=cptcoveff;j++) {  
           fprintf(ficreseij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);  
         }  
         fprintf(ficreseij,"******\n");  
   
         eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);      pstamp(ficreseij);
         oldm=oldms;savm=savms;                  
         evsij(eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k, estepm, strstart);        /* 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(k=1; k<=i1;k++){ /\* For any combination of dummy covariates, fixed and varying *\/ */
         /* if(i1 != 1 && TKresult[nres]!= k) */
         /*        continue; */
         fprintf(ficreseij,"\n#****** ");
         printf("\n#****** ");
         for(j=1;j<=cptcovs;j++){
         /* for(j=1;j<=cptcoveff;j++) { */
           /* fprintf(ficreseij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,TnsdVar[Tvaraff[j]])]); */
           fprintf(ficreseij," V%d=%lg ",Tvresult[nres][j],TinvDoQresult[nres][Tvresult[nres][j]]);
           printf(" V%d=%lg ",Tvresult[nres][j],TinvDoQresult[nres][Tvresult[nres][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=%lg ",TvarsQ[j], TinvDoQresult[nres][TvarsQ[j]]); /* TvarsQ[j] gives the name of the jth quantitative (fixed or time v) */
           fprintf(ficreseij,"V%d=%lg ",TvarsQ[j], TinvDoQresult[nres][TvarsQ[j]]);
         }
         fprintf(ficreseij,"******\n");
         printf("******\n");
               
         free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);        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);
     }      }
     fclose(ficreseij);      fclose(ficreseij);
       printf("done evsij\n");fflush(stdout);
       fprintf(ficlog,"done evsij\n");fflush(ficlog);
   
                   
     /*---------- Health expectancies and variances ------------*/      /*---------- State-specific expectancies and variances ------------*/
       /* Should be moved in a function */         
       strcpy(filerest,"T_");
     strcpy(filerest,"t");      strcat(filerest,fileresu);
     strcat(filerest,fileres);  
     if((ficrest=fopen(filerest,"w"))==NULL) {      if((ficrest=fopen(filerest,"w"))==NULL) {
       printf("Problem with total LE resultfile: %s\n", filerest);goto end;        printf("Problem with total LE resultfile: %s\n", filerest);goto end;
       fprintf(ficlog,"Problem with total LE resultfile: %s\n", filerest);goto end;        fprintf(ficlog,"Problem with total LE resultfile: %s\n", filerest);goto end;
     }      }
     printf("Computing Total Life expectancies with their standard errors: file '%s' \n", filerest);       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);       fprintf(ficlog,"Computing Total Life expectancies with their standard errors: file '%s' ...\n", filerest); fflush(ficlog);
       strcpy(fileresstde,"STDE_");
       strcat(fileresstde,fileresu);
     strcpy(fileresstde,"stde");  
     strcat(fileresstde,fileres);  
     if((ficresstdeij=fopen(fileresstde,"w"))==NULL) {      if((ficresstdeij=fopen(fileresstde,"w"))==NULL) {
       printf("Problem with Health Exp. and std errors resultfile: %s\n", fileresstde); exit(0);        printf("Problem with State specific Exp. and std errors resultfile: %s\n", fileresstde); exit(0);
       fprintf(ficlog,"Problem with Health Exp. and std errors resultfile: %s\n", fileresstde); exit(0);        fprintf(ficlog,"Problem with State specific Exp. and std errors resultfile: %s\n", fileresstde); exit(0);
     }      }
     printf("Computing Health Expectancies and standard errors: result on file '%s' \n", fileresstde);      printf("  Computing State-specific Expectancies and standard errors: result on file '%s' \n", fileresstde);
     fprintf(ficlog,"Computing Health Expectancies and standard errors: result on file '%s' \n", fileresstde);      fprintf(ficlog,"  Computing State-specific Expectancies and standard errors: result on file '%s' \n", fileresstde);
   
     strcpy(filerescve,"cve");      strcpy(filerescve,"CVE_");
     strcat(filerescve,fileres);      strcat(filerescve,fileresu);
     if((ficrescveij=fopen(filerescve,"w"))==NULL) {      if((ficrescveij=fopen(filerescve,"w"))==NULL) {
       printf("Problem with Covar. Health Exp. resultfile: %s\n", filerescve); exit(0);        printf("Problem with Covar. State-specific Exp. resultfile: %s\n", filerescve); exit(0);
       fprintf(ficlog,"Problem with Covar. Health Exp. resultfile: %s\n", filerescve); exit(0);        fprintf(ficlog,"Problem with Covar. State-specific Exp. resultfile: %s\n", filerescve); exit(0);
     }      }
     printf("Computing Covar. of Health Expectancies: result on file '%s' \n", filerescve);      printf("    Computing Covar. of State-specific Expectancies: result on file '%s' \n", filerescve);
     fprintf(ficlog,"Computing Covar. of Health Expectancies: result on file '%s' \n", filerescve);      fprintf(ficlog,"    Computing Covar. of State-specific Expectancies: result on file '%s' \n", filerescve);
   
     strcpy(fileresv,"v");      strcpy(fileresv,"V_");
     strcat(fileresv,fileres);      strcat(fileresv,fileresu);
     if((ficresvij=fopen(fileresv,"w"))==NULL) {      if((ficresvij=fopen(fileresv,"w"))==NULL) {
       printf("Problem with variance resultfile: %s\n", fileresv);exit(0);        printf("Problem with variance resultfile: %s\n", fileresv);exit(0);
       fprintf(ficlog,"Problem with variance resultfile: %s\n", fileresv);exit(0);        fprintf(ficlog,"Problem with variance resultfile: %s\n", fileresv);exit(0);
     }      }
     printf("Computing Variance-covariance of DFLEs: file '%s' \n", fileresv);      printf("      Computing Variance-covariance of State-specific Expectancies: file '%s' ... ", fileresv);fflush(stdout);
     fprintf(ficlog,"Computing Variance-covariance of DFLEs: file '%s' \n", fileresv);      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++){*/  
             
     for (k=1; k <= (int) pow(2,cptcoveff); k++){  
         fprintf(ficrest,"\n#****** ");  
         for(j=1;j<=cptcoveff;j++)   
           fprintf(ficrest,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);  
         fprintf(ficrest,"******\n");  
   
         fprintf(ficresstdeij,"\n#****** ");  
         fprintf(ficrescveij,"\n#****** ");  
         for(j=1;j<=cptcoveff;j++) {  
           fprintf(ficresstdeij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);  
           fprintf(ficrescveij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);  
         }  
         fprintf(ficresstdeij,"******\n");  
         fprintf(ficrescveij,"******\n");  
   
         fprintf(ficresvij,"\n#****** ");  
         for(j=1;j<=cptcoveff;j++)   
           fprintf(ficresvij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);  
         fprintf(ficresvij,"******\n");  
   
         eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);      i1=pow(2,cptcoveff); /* Number of combination of dummy covariates */
         oldm=oldms;savm=savms;      if (cptcovn < 1){i1=1;}
         cvevsij(eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k, estepm, delti, matcov, strstart);        
         /*      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 each nres and each value at position 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# model %s \n#****** Result for:", model);  /* HERE model is empty */
         fprintf(ficrest,"\n# model %s \n#****** Result for:", model);
         fprintf(ficlog,"\n# model %s \n#****** Result for:", model);
         /* It might not be a good idea to mix dummies and quantitative */
         /* 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 *\/ */
         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 */
           /* 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:
            * Tvaraff[1]@9={4, 3, 0, 0, 0, 0, 0, 0, 0}, in model=V5+V4+V3+V4*V3+V5*age
            * (V5 is quanti) V4 and V3 are dummies
            * TnsdVar[4] is the position 1 and TnsdVar[3]=2 in codtabm(k,l)(V4  V3)=V4  V3
            *                                                              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
          */           */
         /* goto endfree; */          /* 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  */
         vareij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);  /* We give up with the combinations!! */
         pstamp(ficrest);          /* if(debugILK) */
           /*   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 *\/ */
   
         for(vpopbased=0; vpopbased <= popbased; vpopbased++){ /* Done for vpopbased=0 and vpopbased=1 if popbased==1*/          if(Dummy[modelresult[nres][j]]==0){/* Dummy variable of the variable in position modelresult in the model corresponding to j in resultline  */
           oldm=oldms;savm=savms; /* Segmentation fault */            /* 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  *\/ */ /* TinvDoQresult[nres][Name of the variable] */
           varevsij(optionfilefiname, vareij, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k, estepm, cptcov,cptcod,vpopbased,mobilav, strstart);            printf("V%d=%lg ",Tvresult[nres][j],TinvDoQresult[nres][Tvresult[nres][j]]); /* Output of each value for the combination TKresult[nres], ordered by the covariate values in the resultline  */
           fprintf(ficrest,"# Total life expectancy with std error and decomposition into time to be expected in each health state\n#  (weighted average of eij where weights are ");            fprintf(ficlog,"V%d=%lg ",Tvresult[nres][j],TinvDoQresult[nres][Tvresult[nres][j]]); /* Output of each value for the combination TKresult[nres], ordere by the covariate values in the resultline  */
           if(vpopbased==1)            fprintf(ficrest,"V%d=%lg ",Tvresult[nres][j],TinvDoQresult[nres][Tvresult[nres][j]]); /* Output of each value for the combination TKresult[nres], ordere by the covariate values in the resultline  */
             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);            if(Fixed[modelresult[nres][j]]==0){ /* Fixed */
           else              printf("fixed ");fprintf(ficlog,"fixed ");fprintf(ficrest,"fixed ");
             fprintf(ficrest,"the age specific period (stable) prevalences in each health state \n");            }else{
           fprintf(ficrest,"# Age e.. (std) ");              printf("varyi ");fprintf(ficlog,"varyi ");fprintf(ficrest,"varyi ");
           for (i=1;i<=nlstate;i++) fprintf(ficrest,"e.%d (std) ",i);            }
           fprintf(ficrest,"\n");            /* 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]])]); */
           epj=vector(1,nlstate+1);          }else if(Dummy[modelresult[nres][j]]==1){ /* Quanti variable */
           for(age=bage; age <=fage ;age++){            /* For each selected (single) quantitative value */
             prevalim(prlim, nlstate, p, age, oldm, savm,ftolpl,k);            printf(" V%d=%lg ",Tvqresult[nres][j],Tqresult[nres][j]);
             if (vpopbased==1) {            fprintf(ficlog," V%d=%lg ",Tvqresult[nres][j],Tqresult[nres][j]);
               if(mobilav ==0){            fprintf(ficrest," V%d=%lg ",Tvqresult[nres][j],Tqresult[nres][j]);
                 for(i=1; i<=nlstate;i++)            if(Fixed[modelresult[nres][j]]==0){ /* Fixed */
                   prlim[i][i]=probs[(int)age][i][k];              printf("fixed ");fprintf(ficlog,"fixed ");fprintf(ficrest,"fixed ");
               }else{ /* mobilav */             }else{
                 for(i=1; i<=nlstate;i++)              printf("varyi ");fprintf(ficlog,"varyi ");fprintf(ficrest,"varyi ");
                   prlim[i][i]=mobaverage[(int)age][i][k];            }
               }          }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 */
             fprintf(ficrest," %4.0f",age);            exit(1);
             for(j=1, epj[nlstate+1]=0.;j <=nlstate;j++){          }
               for(i=1, epj[j]=0.;i <=nlstate;i++) {        } /* End loop for each variable in the resultline */
                 epj[j] += prlim[i][i]*eij[i][j][(int)age];        /* for (j=1; j<= nsq; j++){ /\* For each selected (single) quantitative value *\/ */
                 /*  printf("%lf %lf ", prlim[i][i] ,eij[i][j][(int)age]);*/        /*        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]]); */
               epj[nlstate+1] +=epj[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 ",Tvresult[nres][j],Tresult[nres][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, TvarsQind gives the position of a quantitative in model equation  */
           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");
         
         fprintf(ficresvij,"\n#****** ");
         /* pstamp(ficresvij); */
         for(j=1;j<=cptcoveff;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]); /\* To solve *\/ */
           fprintf(ficresvij," V%d=%lg ",Tvqresult[nres][j],Tqresult[nres][resultmodel[nres][j]]); /* Solved */
         } 
         fprintf(ficresvij,"******\n");
         
         eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
         oldm=oldms;savm=savms;
         printf(" cvevsij ");
         fprintf(ficlog, " cvevsij ");
         cvevsij(eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k, estepm, delti, matcov, strstart, nres);
         printf(" end cvevsij \n ");
         fprintf(ficlog, " end cvevsij \n ");
         
         /*
          */
         /* goto endfree; */
         
         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 */
           printf("varevsij vpopbased=%d \n",vpopbased);
           fprintf(ficlog, "varevsij vpopbased=%d \n",vpopbased);
           varevsij(optionfilefiname, vareij, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl, &ncvyear, k, estepm, cptcov,cptcod,vpopbased,mobilav, strstart, nres); /* cptcod not initialized Intel */
           fprintf(ficrest,"# Total life expectancy with std error and decomposition into time to be expected in each health state\n#  (weighted average of eij where weights are ");
           if(vpopbased==1)
             fprintf(ficrest,"the age specific prevalence observed (cross-sectionally) in the population i.e cross-sectionally\n in each health state (popbased=1) (mobilav=%d)\n",mobilav);
           else
             fprintf(ficrest,"the age specific forward period (stable) prevalences in each health state \n");
           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"); */
           printf("Computing age specific forward period (stable) prevalences in each health state \n");
           fprintf(ficlog,"Computing age specific forward 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) {
               if(mobilav ==0){
                 for(i=1; i<=nlstate;i++)
                   prlim[i][i]=probs[(int)age][i][k];
               }else{ /* mobilav */ 
                 for(i=1; i<=nlstate;i++)
                   prlim[i][i]=mobaverage[(int)age][i][k];
             }              }
             }
             for(i=1, vepp=0.;i <=nlstate;i++)            
               for(j=1;j <=nlstate;j++)            fprintf(ficrest," %4.0f %d %d",age, vpopbased, mobilav);
                 vepp += vareij[i][j][(int)age];            /* fprintf(ficrest," %4.0f %d %d %d %d",age, vpopbased, mobilav,Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]); */ /* to be done */
             fprintf(ficrest," %7.3f (%7.3f)", epj[nlstate+1],sqrt(vepp));            /* printf(" age %4.0f ",age); */
             for(j=1;j <=nlstate;j++){            for(j=1, epj[nlstate+1]=0.;j <=nlstate;j++){
               fprintf(ficrest," %7.3f (%7.3f)", epj[j],sqrt(vareij[j][j][(int)age]));              for(i=1, epj[j]=0.;i <=nlstate;i++) {
                 epj[j] += prlim[i][i]*eij[i][j][(int)age];
                 /*ZZZ  printf("%lf %lf ", prlim[i][i] ,eij[i][j][(int)age]);*/
                 /* printf("%lf %lf ", prlim[i][i] ,eij[i][j][(int)age]); */
             }              }
             fprintf(ficrest,"\n");              epj[nlstate+1] +=epj[j];
             }
             /* printf(" age %4.0f \n",age); */
             
             for(i=1, vepp=0.;i <=nlstate;i++)
               for(j=1;j <=nlstate;j++)
                 vepp += vareij[i][j][(int)age];
             fprintf(ficrest," %7.3f (%7.3f)", epj[nlstate+1],sqrt(vepp));
             for(j=1;j <=nlstate;j++){
               fprintf(ficrest," %7.3f (%7.3f)", epj[j],sqrt(vareij[j][j][(int)age]));
           }            }
             fprintf(ficrest,"\n");
         }          }
         free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);        } /* End vpopbased */
         free_ma3x(vareij,1,nlstate,1,nlstate,(int) bage, (int)fage);        free_vector(epj,1,nlstate+1);
         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);
     }        printf("done selection\n");fflush(stdout);
     free_vector(weight,1,n);        fprintf(ficlog,"done selection\n");fflush(ficlog);
         
       } /* End k selection or end covariate selection for nres */
   
       printf("done State-specific expectancies\n");fflush(stdout);
       fprintf(ficlog,"done State-specific expectancies\n");fflush(ficlog);
   
       /* variance-covariance of forward period prevalence */
       varprlim(fileresu, nresult, mobaverage, mobilavproj, bage, fage, prlim, &ncvyear, ftolpl, p, matcov, delti, stepm, cptcoveff);
   
       
       free_vector(weight,firstobs,lastobs);
       free_imatrix(Tvardk,0,NCOVMAX,1,2);
     free_imatrix(Tvard,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);      free_ivector(tab,1,NCOVMAX);
     fclose(ficresstdeij);      fclose(ficresstdeij);
     fclose(ficrescveij);      fclose(ficrescveij);
     fclose(ficresvij);      fclose(ficresvij);
     fclose(ficrest);      fclose(ficrest);
     fclose(ficpar);      fclose(ficpar);
         
     /*------- Variance of period (stable) prevalence------*/         
   
     strcpy(fileresvpl,"vpl");  
     strcat(fileresvpl,fileres);  
     if((ficresvpl=fopen(fileresvpl,"w"))==NULL) {  
       printf("Problem with variance of period (stable) prevalence  resultfile: %s\n", fileresvpl);  
       exit(0);  
     }  
     printf("Computing Variance-covariance of period (stable) prevalence: file '%s' \n", fileresvpl);  
   
     /*for(cptcov=1,k=0;cptcov<=i1;cptcov++){  
       for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*/  
             
     for (k=1; k <= (int) pow(2,cptcoveff); k++){  
         fprintf(ficresvpl,"\n#****** ");  
         for(j=1;j<=cptcoveff;j++)   
           fprintf(ficresvpl,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);  
         fprintf(ficresvpl,"******\n");  
         
         varpl=matrix(1,nlstate,(int) bage, (int) fage);  
         oldm=oldms;savm=savms;  
         varprevlim(fileres, varpl, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k,strstart);  
         free_matrix(varpl,1,nlstate,(int) bage, (int)fage);  
       /*}*/  
     }  
   
     fclose(ficresvpl);  
   
     /*---------- End : free ----------------*/      /*---------- End : free ----------------*/
     if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);      if (mobilav!=0 ||mobilavproj !=0)
     free_ma3x(probs,1,AGESUP,1,NCOVMAX, 1,NCOVMAX);        free_ma3x(mobaverages,AGEINF, AGESUP,1,nlstate+ndeath, 1,ncovcombmax); /* We need to have a squared matrix with prevalence of the dead! */
   }  /* mle==-3 arrives here for freeing */      free_ma3x(probs,AGEINF,AGESUP,1,nlstate+ndeath, 1,ncovcombmax);
  endfree:  
     free_matrix(prlim,1,nlstate,1,nlstate); /*here or after loop ? */      free_matrix(prlim,1,nlstate,1,nlstate); /*here or after loop ? */
     free_matrix(pmmij,1,nlstate+ndeath,1,nlstate+ndeath);      free_matrix(pmmij,1,nlstate+ndeath,1,nlstate+ndeath);
     free_matrix(oldms, 1,nlstate+ndeath,1,nlstate+ndeath);    }  /* mle==-3 arrives here for freeing */
     free_matrix(newms, 1,nlstate+ndeath,1,nlstate+ndeath);    /* endfree:*/
     free_matrix(savms, 1,nlstate+ndeath,1,nlstate+ndeath);    free_matrix(oldms, 1,nlstate+ndeath,1,nlstate+ndeath);
     free_matrix(covar,0,NCOVMAX,1,n);    free_matrix(newms, 1,nlstate+ndeath,1,nlstate+ndeath);
     free_matrix(matcov,1,npar,1,npar);    free_matrix(savms, 1,nlstate+ndeath,1,nlstate+ndeath);
     /*free_vector(delti,1,npar);*/    /* if(ntv+nqtv>=1)free_ma3x(cotvar,1,maxwav,1,ntv+nqtv,firstobs,lastobs); */
     free_ma3x(delti3,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel);     if(ntv+nqtv>=1)free_ma3x(cotvar,1,maxwav,ncovcol+nqv+1,ncovcol+nqv+ntv+nqtv,firstobs,lastobs);
     free_matrix(agev,1,maxwav,1,imx);    if(nqtv>=1)free_ma3x(cotqvar,1,maxwav,1,nqtv,firstobs,lastobs);
     free_ma3x(param,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel);    if(nqv>=1)free_matrix(coqvar,1,nqv,firstobs,lastobs);
     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);
     free_ivector(ncodemaxwundef,1,NCOVMAX);
     free_ivector(Dummy,-1,NCOVMAX);
     free_ivector(Fixed,-1,NCOVMAX);
     free_ivector(DummyV,-1,NCOVMAX);
     free_ivector(FixedV,-1,NCOVMAX);
     free_ivector(Typevar,-1,NCOVMAX);
     free_ivector(Tvar,1,NCOVMAX);
     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);
     free_ivector(TvarF,1,NCOVMAX);
     free_ivector(TvarFind,1,NCOVMAX);
     free_ivector(TvarV,1,NCOVMAX);
     free_ivector(TvarVind,1,NCOVMAX);
     free_ivector(TvarA,1,NCOVMAX);
     free_ivector(TvarAind,1,NCOVMAX);
     free_ivector(TvarFQ,1,NCOVMAX);
     free_ivector(TvarFQind,1,NCOVMAX);
     free_ivector(TvarVD,1,NCOVMAX);
     free_ivector(TvarVDind,1,NCOVMAX);
     free_ivector(TvarVQ,1,NCOVMAX);
     free_ivector(TvarVQind,1,NCOVMAX);
     free_ivector(TvarAVVA,1,NCOVMAX);
     free_ivector(TvarAVVAind,1,NCOVMAX);
     free_ivector(TvarVVA,1,NCOVMAX);
     free_ivector(TvarVVAind,1,NCOVMAX);
     free_ivector(TvarVV,1,NCOVMAX);
     free_ivector(TvarVVind,1,NCOVMAX);
     
     free_ivector(Tvarsel,1,NCOVMAX);
     free_vector(Tvalsel,1,NCOVMAX);
     free_ivector(Tposprod,1,NCOVMAX);
     free_ivector(Tprod,1,NCOVMAX);
     free_ivector(Tvaraff,1,NCOVMAX);
     free_ivector(invalidvarcomb,0,ncovcombmax);
     free_ivector(Tage,1,NCOVMAX);
     free_ivector(Tmodelind,1,NCOVMAX);
     free_ivector(TmodelInvind,1,NCOVMAX);
     free_ivector(TmodelInvQind,1,NCOVMAX);
   
     free_ivector(ncodemax,1,NCOVMAX);    free_matrix(precov, 1,MAXRESULTLINESPONE,1,NCOVMAX+1); /* Could be elsewhere ?*/
     free_ivector(Tvar,1,NCOVMAX);  
     free_ivector(Tprod,1,NCOVMAX);  
     free_ivector(Tvaraff,1,NCOVMAX);  
     free_ivector(Tage,1,NCOVMAX);  
   
     free_imatrix(nbcode,0,NCOVMAX,0,NCOVMAX);    free_imatrix(nbcode,0,NCOVMAX,0,NCOVMAX);
     free_imatrix(codtab,1,100,1,10);    /* free_imatrix(codtab,1,100,1,10); */
   fflush(fichtm);    fflush(fichtm);
   fflush(ficgp);    fflush(ficgp);
       
     
   if((nberr >0) || (nbwarn>0)){    if((nberr >0) || (nbwarn>0)){
     printf("End of Imach with %d errors and/or %d warnings\n",nberr,nbwarn);      printf("End of Imach with %d errors and/or %d warnings. Please look at the log file for details.\n",nberr,nbwarn);
     fprintf(ficlog,"End of Imach with %d errors and/or warnings %d\n",nberr,nbwarn);      fprintf(ficlog,"End of Imach with %d errors and/or warnings %d. Please look at the log file for details.\n",nberr,nbwarn);
   }else{    }else{
     printf("End of Imach\n");      printf("End of Imach\n");
     fprintf(ficlog,"End of Imach\n");      fprintf(ficlog,"End of Imach\n");
   }    }
   printf("See log file on %s\n",filelog);    printf("See log file on %s\n",filelog);
   /*  gettimeofday(&end_time, (struct timezone*)0);*/  /* after time */    /*  gettimeofday(&end_time, (struct timezone*)0);*/  /* after time */
   (void) gettimeofday(&end_time,&tzp);    /*(void) gettimeofday(&end_time,&tzp);*/
   tm = *localtime(&end_time.tv_sec);    rend_time = time(NULL);  
   tmg = *gmtime(&end_time.tv_sec);    end_time = *localtime(&rend_time);
   strcpy(strtend,asctime(&tm));    /* tml = *localtime(&end_time.tm_sec); */
     strcpy(strtend,asctime(&end_time));
   printf("Local time at start %s\nLocal time at end   %s",strstart, strtend);     printf("Local time at start %s\nLocal time at end   %s",strstart, strtend); 
   fprintf(ficlog,"Local time at start %s\nLocal time at end   %s\n",strstart, strtend);     fprintf(ficlog,"Local time at start %s\nLocal time at end   %s\n",strstart, strtend); 
   printf("Total time used %s\n", asc_diff_time(end_time.tv_sec -start_time.tv_sec,tmpout));    printf("Total time used %s\n", asc_diff_time(rend_time -rstart_time,tmpout));
     
   printf("Total time was %ld Sec.\n", end_time.tv_sec -start_time.tv_sec);    printf("Total time was %.0lf Sec.\n", difftime(rend_time,rstart_time));
   fprintf(ficlog,"Total time used %s\n", asc_diff_time(end_time.tv_sec -start_time.tv_sec,tmpout));    fprintf(ficlog,"Total time used %s\n", asc_diff_time(rend_time -rstart_time,tmpout));
   fprintf(ficlog,"Total time was %ld Sec.\n", end_time.tv_sec -start_time.tv_sec);    fprintf(ficlog,"Total time was %.0lf Sec.\n", difftime(rend_time,rstart_time));
   /*  printf("Total time was %d uSec.\n", total_usecs);*/    /*  printf("Total time was %d uSec.\n", total_usecs);*/
 /*   if(fileappend(fichtm,optionfilehtm)){ */  /*   if(fileappend(fichtm,optionfilehtm)){ */
   fprintf(fichtm,"<br>Local time at start %s<br>Local time at end   %s<br>\n</body></html>",strstart, strtend);    fprintf(fichtm,"<br>Local time at start %s<br>Local time at end   %s<br>\n</body></html>",strstart, strtend);
Line 6626  Interval (in months) between two waves: Line 15407  Interval (in months) between two waves:
   fclose(ficgp);    fclose(ficgp);
   fclose(ficlog);    fclose(ficlog);
   /*------ End -----------*/    /*------ End -----------*/
     
   
   /* Executes gnuplot */
    printf("Before Current directory %s!\n",pathcd);    
    if(chdir(pathcd) != 0)    printf("Before Current directory %s!\n",pathcd);
   #ifdef WIN32
     if (_chdir(pathcd) != 0)
     printf("Can't move to directory %s!\n",path);      printf("Can't move to directory %s!\n",path);
   if(getcwd(pathcd,MAXLINE) > 0)    if(_getcwd(pathcd,MAXLINE) > 0)
   #else
       if(chdir(pathcd) != 0)
         printf("Can't move to directory %s!\n", path);
     if (getcwd(pathcd, MAXLINE) > 0)
   #endif 
     printf("Current directory %s!\n",pathcd);      printf("Current directory %s!\n",pathcd);
   /*strcat(plotcmd,CHARSEPARATOR);*/    /*strcat(plotcmd,CHARSEPARATOR);*/
   sprintf(plotcmd,"gnuplot");    sprintf(plotcmd,"gnuplot");
 #ifndef UNIX  #ifdef _WIN32
   sprintf(plotcmd,"\"%sgnuplot.exe\"",pathimach);    sprintf(plotcmd,"\"%sgnuplot.exe\"",pathimach);
 #endif  #endif
   if(!stat(plotcmd,&info)){    if(!stat(plotcmd,&info)){
     printf("Error gnuplot program not found: %s\n",plotcmd);fflush(stdout);      printf("Error or gnuplot program not found: '%s'\n",plotcmd);fflush(stdout);
     if(!stat(getenv("GNUPLOTBIN"),&info)){      if(!stat(getenv("GNUPLOTBIN"),&info)){
       printf("Error gnuplot program not found: %s Environment GNUPLOTBIN not set.\n",plotcmd);fflush(stdout);        printf("Error or gnuplot program not found: '%s' Environment GNUPLOTBIN not set.\n",plotcmd);fflush(stdout);
     }else      }else
       strcpy(pplotcmd,plotcmd);        strcpy(pplotcmd,plotcmd);
 #ifdef UNIX  #ifdef __unix
     strcpy(plotcmd,GNUPLOTPROGRAM);      strcpy(plotcmd,GNUPLOTPROGRAM);
     if(!stat(plotcmd,&info)){      if(!stat(plotcmd,&info)){
       printf("Error gnuplot program not found: %s\n",plotcmd);fflush(stdout);        printf("Error gnuplot program not found: '%s'\n",plotcmd);fflush(stdout);
     }else      }else
       strcpy(pplotcmd,plotcmd);        strcpy(pplotcmd,plotcmd);
 #endif  #endif
Line 6655  Interval (in months) between two waves: Line 15444  Interval (in months) between two waves:
     strcpy(pplotcmd,plotcmd);      strcpy(pplotcmd,plotcmd);
       
   sprintf(plotcmd,"%s %s",pplotcmd, optionfilegnuplot);    sprintf(plotcmd,"%s %s",pplotcmd, optionfilegnuplot);
   printf("Starting graphs with: %s\n",plotcmd);fflush(stdout);    printf("Starting graphs with: '%s'\n",plotcmd);fflush(stdout);
     strcpy(pplotcmd,plotcmd);
     
   if((outcmd=system(plotcmd)) != 0){    if((outcmd=system(plotcmd)) != 0){
     printf("\n Problem with gnuplot\n");      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){
         printf("\n Still a problem with gnuplot command %s, err=%d\n", plotcmd, outcmd);
         strcpy(plotcmd,pplotcmd);
       }
   }    }
   printf(" Wait...");    printf(" Successful, please wait...");
   while (z[0] != 'q') {    while (z[0] != 'q') {
     /* chdir(path); */      /* chdir(path); */
     printf("\nType e to edit output files, g to graph again and q for exiting: ");      printf("\nType e to edit results with your browser, g to graph again and q for exit: ");
     scanf("%s",z);      scanf("%s",z);
 /*     if (z[0] == 'c') system("./imach"); */  /*     if (z[0] == 'c') system("./imach"); */
     if (z[0] == 'e') {      if (z[0] == 'e') {
       printf("Starting browser with: %s",optionfilehtm);fflush(stdout);  #ifdef __APPLE__
       system(optionfilehtm);        sprintf(pplotcmd, "open %s", optionfilehtm);
   #elif __linux
         sprintf(pplotcmd, "xdg-open %s", optionfilehtm);
   #else
         sprintf(pplotcmd, "%s", optionfilehtm);
   #endif
         printf("Starting browser with: %s",pplotcmd);fflush(stdout);
         system(pplotcmd);
     }      }
     else if (z[0] == 'g') system(plotcmd);      else if (z[0] == 'g') system(plotcmd);
     else if (z[0] == 'q') exit(0);      else if (z[0] == 'q') exit(0);
   }    }
   end:  end:
   while (z[0] != 'q') {    while (z[0] != 'q') {
     printf("\nType  q for exiting: ");      printf("\nType  q for exiting: "); fflush(stdout);
     scanf("%s",z);      scanf("%s",z);
   }    }
     printf("End\n");
     exit(0);
 }  }
   
   
   

Removed from v.1.146  
changed lines
  Added in v.1.358


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