File:  [Local Repository] / imach / src / imach.c
Revision 1.162: download - view: text, annotated - select for diffs
Thu Sep 25 11:43:39 2014 UTC (9 years, 8 months ago) by brouard
Branches: MAIN
CVS tags: HEAD
Summary: temporary backup 0.99!

    1: /* $Id: imach.c,v 1.162 2014/09/25 11:43:39 brouard Exp $
    2:   $State: Exp $
    3:   $Log: imach.c,v $
    4:   Revision 1.162  2014/09/25 11:43:39  brouard
    5:   Summary: temporary backup 0.99!
    6: 
    7:   Revision 1.1  2014/09/16 11:06:58  brouard
    8:   Summary: With some code (wrong) for nlopt
    9: 
   10:   Author:
   11: 
   12:   Revision 1.161  2014/09/15 20:41:41  brouard
   13:   Summary: Problem with macro SQR on Intel compiler
   14: 
   15:   Revision 1.160  2014/09/02 09:24:05  brouard
   16:   *** empty log message ***
   17: 
   18:   Revision 1.159  2014/09/01 10:34:10  brouard
   19:   Summary: WIN32
   20:   Author: Brouard
   21: 
   22:   Revision 1.158  2014/08/27 17:11:51  brouard
   23:   *** empty log message ***
   24: 
   25:   Revision 1.157  2014/08/27 16:26:55  brouard
   26:   Summary: Preparing windows Visual studio version
   27:   Author: Brouard
   28: 
   29:   In order to compile on Visual studio, time.h is now correct and time_t
   30:   and tm struct should be used. difftime should be used but sometimes I
   31:   just make the differences in raw time format (time(&now).
   32:   Trying to suppress #ifdef LINUX
   33:   Add xdg-open for __linux in order to open default browser.
   34: 
   35:   Revision 1.156  2014/08/25 20:10:10  brouard
   36:   *** empty log message ***
   37: 
   38:   Revision 1.155  2014/08/25 18:32:34  brouard
   39:   Summary: New compile, minor changes
   40:   Author: Brouard
   41: 
   42:   Revision 1.154  2014/06/20 17:32:08  brouard
   43:   Summary: Outputs now all graphs of convergence to period prevalence
   44: 
   45:   Revision 1.153  2014/06/20 16:45:46  brouard
   46:   Summary: If 3 live state, convergence to period prevalence on same graph
   47:   Author: Brouard
   48: 
   49:   Revision 1.152  2014/06/18 17:54:09  brouard
   50:   Summary: open browser, use gnuplot on same dir than imach if not found in the path
   51: 
   52:   Revision 1.151  2014/06/18 16:43:30  brouard
   53:   *** empty log message ***
   54: 
   55:   Revision 1.150  2014/06/18 16:42:35  brouard
   56:   Summary: If gnuplot is not in the path try on same directory than imach binary (OSX)
   57:   Author: brouard
   58: 
   59:   Revision 1.149  2014/06/18 15:51:14  brouard
   60:   Summary: Some fixes in parameter files errors
   61:   Author: Nicolas Brouard
   62: 
   63:   Revision 1.148  2014/06/17 17:38:48  brouard
   64:   Summary: Nothing new
   65:   Author: Brouard
   66: 
   67:   Just a new packaging for OS/X version 0.98nS
   68: 
   69:   Revision 1.147  2014/06/16 10:33:11  brouard
   70:   *** empty log message ***
   71: 
   72:   Revision 1.146  2014/06/16 10:20:28  brouard
   73:   Summary: Merge
   74:   Author: Brouard
   75: 
   76:   Merge, before building revised version.
   77: 
   78:   Revision 1.145  2014/06/10 21:23:15  brouard
   79:   Summary: Debugging with valgrind
   80:   Author: Nicolas Brouard
   81: 
   82:   Lot of changes in order to output the results with some covariates
   83:   After the Edimburgh REVES conference 2014, it seems mandatory to
   84:   improve the code.
   85:   No more memory valgrind error but a lot has to be done in order to
   86:   continue the work of splitting the code into subroutines.
   87:   Also, decodemodel has been improved. Tricode is still not
   88:   optimal. nbcode should be improved. Documentation has been added in
   89:   the source code.
   90: 
   91:   Revision 1.143  2014/01/26 09:45:38  brouard
   92:   Summary: Version 0.98nR (to be improved, but gives same optimization results as 0.98k. Nice, promising
   93: 
   94:   * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
   95:   (Module): Version 0.98nR Running ok, but output format still only works for three covariates.
   96: 
   97:   Revision 1.142  2014/01/26 03:57:36  brouard
   98:   Summary: gnuplot changed plot w l 1 has to be changed to plot w l lt 2
   99: 
  100:   * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
  101: 
  102:   Revision 1.141  2014/01/26 02:42:01  brouard
  103:   * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
  104: 
  105:   Revision 1.140  2011/09/02 10:37:54  brouard
  106:   Summary: times.h is ok with mingw32 now.
  107: 
  108:   Revision 1.139  2010/06/14 07:50:17  brouard
  109:   After the theft of my laptop, I probably lost some lines of codes which were not uploaded to the CVS tree.
  110:   I remember having already fixed agemin agemax which are pointers now but not cvs saved.
  111: 
  112:   Revision 1.138  2010/04/30 18:19:40  brouard
  113:   *** empty log message ***
  114: 
  115:   Revision 1.137  2010/04/29 18:11:38  brouard
  116:   (Module): Checking covariates for more complex models
  117:   than V1+V2. A lot of change to be done. Unstable.
  118: 
  119:   Revision 1.136  2010/04/26 20:30:53  brouard
  120:   (Module): merging some libgsl code. Fixing computation
  121:   of likelione (using inter/intrapolation if mle = 0) in order to
  122:   get same likelihood as if mle=1.
  123:   Some cleaning of code and comments added.
  124: 
  125:   Revision 1.135  2009/10/29 15:33:14  brouard
  126:   (Module): Now imach stops if date of birth, at least year of birth, is not given. Some cleaning of the code.
  127: 
  128:   Revision 1.134  2009/10/29 13:18:53  brouard
  129:   (Module): Now imach stops if date of birth, at least year of birth, is not given. Some cleaning of the code.
  130: 
  131:   Revision 1.133  2009/07/06 10:21:25  brouard
  132:   just nforces
  133: 
  134:   Revision 1.132  2009/07/06 08:22:05  brouard
  135:   Many tings
  136: 
  137:   Revision 1.131  2009/06/20 16:22:47  brouard
  138:   Some dimensions resccaled
  139: 
  140:   Revision 1.130  2009/05/26 06:44:34  brouard
  141:   (Module): Max Covariate is now set to 20 instead of 8. A
  142:   lot of cleaning with variables initialized to 0. Trying to make
  143:   V2+V3*age+V1+V4 strb=V3*age+V1+V4 working better.
  144: 
  145:   Revision 1.129  2007/08/31 13:49:27  lievre
  146:   Modification of the way of exiting when the covariate is not binary in order to see on the window the error message before exiting
  147: 
  148:   Revision 1.128  2006/06/30 13:02:05  brouard
  149:   (Module): Clarifications on computing e.j
  150: 
  151:   Revision 1.127  2006/04/28 18:11:50  brouard
  152:   (Module): Yes the sum of survivors was wrong since
  153:   imach-114 because nhstepm was no more computed in the age
  154:   loop. Now we define nhstepma in the age loop.
  155:   (Module): In order to speed up (in case of numerous covariates) we
  156:   compute health expectancies (without variances) in a first step
  157:   and then all the health expectancies with variances or standard
  158:   deviation (needs data from the Hessian matrices) which slows the
  159:   computation.
  160:   In the future we should be able to stop the program is only health
  161:   expectancies and graph are needed without standard deviations.
  162: 
  163:   Revision 1.126  2006/04/28 17:23:28  brouard
  164:   (Module): Yes the sum of survivors was wrong since
  165:   imach-114 because nhstepm was no more computed in the age
  166:   loop. Now we define nhstepma in the age loop.
  167:   Version 0.98h
  168: 
  169:   Revision 1.125  2006/04/04 15:20:31  lievre
  170:   Errors in calculation of health expectancies. Age was not initialized.
  171:   Forecasting file added.
  172: 
  173:   Revision 1.124  2006/03/22 17:13:53  lievre
  174:   Parameters are printed with %lf instead of %f (more numbers after the comma).
  175:   The log-likelihood is printed in the log file
  176: 
  177:   Revision 1.123  2006/03/20 10:52:43  brouard
  178:   * imach.c (Module): <title> changed, corresponds to .htm file
  179:   name. <head> headers where missing.
  180: 
  181:   * imach.c (Module): Weights can have a decimal point as for
  182:   English (a comma might work with a correct LC_NUMERIC environment,
  183:   otherwise the weight is truncated).
  184:   Modification of warning when the covariates values are not 0 or
  185:   1.
  186:   Version 0.98g
  187: 
  188:   Revision 1.122  2006/03/20 09:45:41  brouard
  189:   (Module): Weights can have a decimal point as for
  190:   English (a comma might work with a correct LC_NUMERIC environment,
  191:   otherwise the weight is truncated).
  192:   Modification of warning when the covariates values are not 0 or
  193:   1.
  194:   Version 0.98g
  195: 
  196:   Revision 1.121  2006/03/16 17:45:01  lievre
  197:   * imach.c (Module): Comments concerning covariates added
  198: 
  199:   * imach.c (Module): refinements in the computation of lli if
  200:   status=-2 in order to have more reliable computation if stepm is
  201:   not 1 month. Version 0.98f
  202: 
  203:   Revision 1.120  2006/03/16 15:10:38  lievre
  204:   (Module): refinements in the computation of lli if
  205:   status=-2 in order to have more reliable computation if stepm is
  206:   not 1 month. Version 0.98f
  207: 
  208:   Revision 1.119  2006/03/15 17:42:26  brouard
  209:   (Module): Bug if status = -2, the loglikelihood was
  210:   computed as likelihood omitting the logarithm. Version O.98e
  211: 
  212:   Revision 1.118  2006/03/14 18:20:07  brouard
  213:   (Module): varevsij Comments added explaining the second
  214:   table of variances if popbased=1 .
  215:   (Module): Covariances of eij, ekl added, graphs fixed, new html link.
  216:   (Module): Function pstamp added
  217:   (Module): Version 0.98d
  218: 
  219:   Revision 1.117  2006/03/14 17:16:22  brouard
  220:   (Module): varevsij Comments added explaining the second
  221:   table of variances if popbased=1 .
  222:   (Module): Covariances of eij, ekl added, graphs fixed, new html link.
  223:   (Module): Function pstamp added
  224:   (Module): Version 0.98d
  225: 
  226:   Revision 1.116  2006/03/06 10:29:27  brouard
  227:   (Module): Variance-covariance wrong links and
  228:   varian-covariance of ej. is needed (Saito).
  229: 
  230:   Revision 1.115  2006/02/27 12:17:45  brouard
  231:   (Module): One freematrix added in mlikeli! 0.98c
  232: 
  233:   Revision 1.114  2006/02/26 12:57:58  brouard
  234:   (Module): Some improvements in processing parameter
  235:   filename with strsep.
  236: 
  237:   Revision 1.113  2006/02/24 14:20:24  brouard
  238:   (Module): Memory leaks checks with valgrind and:
  239:   datafile was not closed, some imatrix were not freed and on matrix
  240:   allocation too.
  241: 
  242:   Revision 1.112  2006/01/30 09:55:26  brouard
  243:   (Module): Back to gnuplot.exe instead of wgnuplot.exe
  244: 
  245:   Revision 1.111  2006/01/25 20:38:18  brouard
  246:   (Module): Lots of cleaning and bugs added (Gompertz)
  247:   (Module): Comments can be added in data file. Missing date values
  248:   can be a simple dot '.'.
  249: 
  250:   Revision 1.110  2006/01/25 00:51:50  brouard
  251:   (Module): Lots of cleaning and bugs added (Gompertz)
  252: 
  253:   Revision 1.109  2006/01/24 19:37:15  brouard
  254:   (Module): Comments (lines starting with a #) are allowed in data.
  255: 
  256:   Revision 1.108  2006/01/19 18:05:42  lievre
  257:   Gnuplot problem appeared...
  258:   To be fixed
  259: 
  260:   Revision 1.107  2006/01/19 16:20:37  brouard
  261:   Test existence of gnuplot in imach path
  262: 
  263:   Revision 1.106  2006/01/19 13:24:36  brouard
  264:   Some cleaning and links added in html output
  265: 
  266:   Revision 1.105  2006/01/05 20:23:19  lievre
  267:   *** empty log message ***
  268: 
  269:   Revision 1.104  2005/09/30 16:11:43  lievre
  270:   (Module): sump fixed, loop imx fixed, and simplifications.
  271:   (Module): If the status is missing at the last wave but we know
  272:   that the person is alive, then we can code his/her status as -2
  273:   (instead of missing=-1 in earlier versions) and his/her
  274:   contributions to the likelihood is 1 - Prob of dying from last
  275:   health status (= 1-p13= p11+p12 in the easiest case of somebody in
  276:   the healthy state at last known wave). Version is 0.98
  277: 
  278:   Revision 1.103  2005/09/30 15:54:49  lievre
  279:   (Module): sump fixed, loop imx fixed, and simplifications.
  280: 
  281:   Revision 1.102  2004/09/15 17:31:30  brouard
  282:   Add the possibility to read data file including tab characters.
  283: 
  284:   Revision 1.101  2004/09/15 10:38:38  brouard
  285:   Fix on curr_time
  286: 
  287:   Revision 1.100  2004/07/12 18:29:06  brouard
  288:   Add version for Mac OS X. Just define UNIX in Makefile
  289: 
  290:   Revision 1.99  2004/06/05 08:57:40  brouard
  291:   *** empty log message ***
  292: 
  293:   Revision 1.98  2004/05/16 15:05:56  brouard
  294:   New version 0.97 . First attempt to estimate force of mortality
  295:   directly from the data i.e. without the need of knowing the health
  296:   state at each age, but using a Gompertz model: log u =a + b*age .
  297:   This is the basic analysis of mortality and should be done before any
  298:   other analysis, in order to test if the mortality estimated from the
  299:   cross-longitudinal survey is different from the mortality estimated
  300:   from other sources like vital statistic data.
  301: 
  302:   The same imach parameter file can be used but the option for mle should be -3.
  303: 
  304:   Agnès, who wrote this part of the code, tried to keep most of the
  305:   former routines in order to include the new code within the former code.
  306: 
  307:   The output is very simple: only an estimate of the intercept and of
  308:   the slope with 95% confident intervals.
  309: 
  310:   Current limitations:
  311:   A) Even if you enter covariates, i.e. with the
  312:   model= V1+V2 equation for example, the programm does only estimate a unique global model without covariates.
  313:   B) There is no computation of Life Expectancy nor Life Table.
  314: 
  315:   Revision 1.97  2004/02/20 13:25:42  lievre
  316:   Version 0.96d. Population forecasting command line is (temporarily)
  317:   suppressed.
  318: 
  319:   Revision 1.96  2003/07/15 15:38:55  brouard
  320:   * imach.c (Repository): Errors in subdirf, 2, 3 while printing tmpout is
  321:   rewritten within the same printf. Workaround: many printfs.
  322: 
  323:   Revision 1.95  2003/07/08 07:54:34  brouard
  324:   * imach.c (Repository):
  325:   (Repository): Using imachwizard code to output a more meaningful covariance
  326:   matrix (cov(a12,c31) instead of numbers.
  327: 
  328:   Revision 1.94  2003/06/27 13:00:02  brouard
  329:   Just cleaning
  330: 
  331:   Revision 1.93  2003/06/25 16:33:55  brouard
  332:   (Module): On windows (cygwin) function asctime_r doesn't
  333:   exist so I changed back to asctime which exists.
  334:   (Module): Version 0.96b
  335: 
  336:   Revision 1.92  2003/06/25 16:30:45  brouard
  337:   (Module): On windows (cygwin) function asctime_r doesn't
  338:   exist so I changed back to asctime which exists.
  339: 
  340:   Revision 1.91  2003/06/25 15:30:29  brouard
  341:   * imach.c (Repository): Duplicated warning errors corrected.
  342:   (Repository): Elapsed time after each iteration is now output. It
  343:   helps to forecast when convergence will be reached. Elapsed time
  344:   is stamped in powell.  We created a new html file for the graphs
  345:   concerning matrix of covariance. It has extension -cov.htm.
  346: 
  347:   Revision 1.90  2003/06/24 12:34:15  brouard
  348:   (Module): Some bugs corrected for windows. Also, when
  349:   mle=-1 a template is output in file "or"mypar.txt with the design
  350:   of the covariance matrix to be input.
  351: 
  352:   Revision 1.89  2003/06/24 12:30:52  brouard
  353:   (Module): Some bugs corrected for windows. Also, when
  354:   mle=-1 a template is output in file "or"mypar.txt with the design
  355:   of the covariance matrix to be input.
  356: 
  357:   Revision 1.88  2003/06/23 17:54:56  brouard
  358:   * imach.c (Repository): Create a sub-directory where all the secondary files are. Only imach, htm, gp and r(imach) are on the main directory. Correct time and other things.
  359: 
  360:   Revision 1.87  2003/06/18 12:26:01  brouard
  361:   Version 0.96
  362: 
  363:   Revision 1.86  2003/06/17 20:04:08  brouard
  364:   (Module): Change position of html and gnuplot routines and added
  365:   routine fileappend.
  366: 
  367:   Revision 1.85  2003/06/17 13:12:43  brouard
  368:   * imach.c (Repository): Check when date of death was earlier that
  369:   current date of interview. It may happen when the death was just
  370:   prior to the death. In this case, dh was negative and likelihood
  371:   was wrong (infinity). We still send an "Error" but patch by
  372:   assuming that the date of death was just one stepm after the
  373:   interview.
  374:   (Repository): Because some people have very long ID (first column)
  375:   we changed int to long in num[] and we added a new lvector for
  376:   memory allocation. But we also truncated to 8 characters (left
  377:   truncation)
  378:   (Repository): No more line truncation errors.
  379: 
  380:   Revision 1.84  2003/06/13 21:44:43  brouard
  381:   * imach.c (Repository): Replace "freqsummary" at a correct
  382:   place. It differs from routine "prevalence" which may be called
  383:   many times. Probs is memory consuming and must be used with
  384:   parcimony.
  385:   Version 0.95a3 (should output exactly the same maximization than 0.8a2)
  386: 
  387:   Revision 1.83  2003/06/10 13:39:11  lievre
  388:   *** empty log message ***
  389: 
  390:   Revision 1.82  2003/06/05 15:57:20  brouard
  391:   Add log in  imach.c and  fullversion number is now printed.
  392: 
  393: */
  394: /*
  395:    Interpolated Markov Chain
  396: 
  397:   Short summary of the programme:
  398:   
  399:   This program computes Healthy Life Expectancies from
  400:   cross-longitudinal data. Cross-longitudinal data consist in: -1- a
  401:   first survey ("cross") where individuals from different ages are
  402:   interviewed on their health status or degree of disability (in the
  403:   case of a health survey which is our main interest) -2- at least a
  404:   second wave of interviews ("longitudinal") which measure each change
  405:   (if any) in individual health status.  Health expectancies are
  406:   computed from the time spent in each health state according to a
  407:   model. More health states you consider, more time is necessary to reach the
  408:   Maximum Likelihood of the parameters involved in the model.  The
  409:   simplest model is the multinomial logistic model where pij is the
  410:   probability to be observed in state j at the second wave
  411:   conditional to be observed in state i at the first wave. Therefore
  412:   the model is: log(pij/pii)= aij + bij*age+ cij*sex + etc , where
  413:   'age' is age and 'sex' is a covariate. If you want to have a more
  414:   complex model than "constant and age", you should modify the program
  415:   where the markup *Covariates have to be included here again* invites
  416:   you to do it.  More covariates you add, slower the
  417:   convergence.
  418: 
  419:   The advantage of this computer programme, compared to a simple
  420:   multinomial logistic model, is clear when the delay between waves is not
  421:   identical for each individual. Also, if a individual missed an
  422:   intermediate interview, the information is lost, but taken into
  423:   account using an interpolation or extrapolation.  
  424: 
  425:   hPijx is the probability to be observed in state i at age x+h
  426:   conditional to the observed state i at age x. The delay 'h' can be
  427:   split into an exact number (nh*stepm) of unobserved intermediate
  428:   states. This elementary transition (by month, quarter,
  429:   semester or year) is modelled as a multinomial logistic.  The hPx
  430:   matrix is simply the matrix product of nh*stepm elementary matrices
  431:   and the contribution of each individual to the likelihood is simply
  432:   hPijx.
  433: 
  434:   Also this programme outputs the covariance matrix of the parameters but also
  435:   of the life expectancies. It also computes the period (stable) prevalence. 
  436:   
  437:   Authors: Nicolas Brouard (brouard@ined.fr) and Agnès Lièvre (lievre@ined.fr).
  438:            Institut national d'études démographiques, Paris.
  439:   This software have been partly granted by Euro-REVES, a concerted action
  440:   from the European Union.
  441:   It is copyrighted identically to a GNU software product, ie programme and
  442:   software can be distributed freely for non commercial use. Latest version
  443:   can be accessed at http://euroreves.ined.fr/imach .
  444: 
  445:   Help to debug: LD_PRELOAD=/usr/local/lib/libnjamd.so ./imach foo.imach
  446:   or better on gdb : set env LD_PRELOAD=/usr/local/lib/libnjamd.so
  447:   
  448:   **********************************************************************/
  449: /*
  450:   main
  451:   read parameterfile
  452:   read datafile
  453:   concatwav
  454:   freqsummary
  455:   if (mle >= 1)
  456:     mlikeli
  457:   print results files
  458:   if mle==1 
  459:      computes hessian
  460:   read end of parameter file: agemin, agemax, bage, fage, estepm
  461:       begin-prev-date,...
  462:   open gnuplot file
  463:   open html file
  464:   period (stable) prevalence      | pl_nom    1-1 2-2 etc by covariate
  465:    for age prevalim()             | #****** V1=0  V2=1  V3=1  V4=0 ******
  466:                                   | 65 1 0 2 1 3 1 4 0  0.96326 0.03674
  467:     freexexit2 possible for memory heap.
  468: 
  469:   h Pij x                         | pij_nom  ficrestpij
  470:    # Cov Agex agex+h hpijx with i,j= 1-1 1-2     1-3     2-1     2-2     2-3
  471:        1  85   85    1.00000             0.00000 0.00000 0.00000 1.00000 0.00000
  472:        1  85   86    0.68299             0.22291 0.09410 0.71093 0.00000 0.28907
  473: 
  474:        1  65   99    0.00364             0.00322 0.99314 0.00350 0.00310 0.99340
  475:        1  65  100    0.00214             0.00204 0.99581 0.00206 0.00196 0.99597
  476:   variance of p one-step probabilities varprob  | prob_nom   ficresprob #One-step probabilities and stand. devi in ()
  477:    Standard deviation of one-step probabilities | probcor_nom   ficresprobcor #One-step probabilities and correlation matrix
  478:    Matrix of variance covariance of one-step probabilities |  probcov_nom ficresprobcov #One-step probabilities and covariance matrix
  479: 
  480:   forecasting if prevfcast==1 prevforecast call prevalence()
  481:   health expectancies
  482:   Variance-covariance of DFLE
  483:   prevalence()
  484:    movingaverage()
  485:   varevsij() 
  486:   if popbased==1 varevsij(,popbased)
  487:   total life expectancies
  488:   Variance of period (stable) prevalence
  489:  end
  490: */
  491: 
  492: 
  493: 
  494:  
  495: #include <math.h>
  496: #include <stdio.h>
  497: #include <stdlib.h>
  498: #include <string.h>
  499: 
  500: #ifdef _WIN32
  501: #include <io.h>
  502: #else
  503: #include <unistd.h>
  504: #endif
  505: 
  506: #include <limits.h>
  507: #include <sys/types.h>
  508: #include <sys/stat.h>
  509: #include <errno.h>
  510: /* extern int errno; */
  511: 
  512: /* #ifdef LINUX */
  513: /* #include <time.h> */
  514: /* #include "timeval.h" */
  515: /* #else */
  516: /* #include <sys/time.h> */
  517: /* #endif */
  518: 
  519: #include <time.h>
  520: 
  521: #ifdef GSL
  522: #include <gsl/gsl_errno.h>
  523: #include <gsl/gsl_multimin.h>
  524: #endif
  525: 
  526: #ifdef NLOPT
  527: #include <nlopt.h>
  528: typedef struct {
  529:   double (* function)(double [] );
  530: } myfunc_data ;
  531: #endif
  532: 
  533: /* #include <libintl.h> */
  534: /* #define _(String) gettext (String) */
  535: 
  536: #define MAXLINE 1024 /* Was 256. Overflow with 312 with 2 states and 4 covariates. Should be ok */
  537: 
  538: #define GNUPLOTPROGRAM "gnuplot"
  539: /*#define GNUPLOTPROGRAM "..\\gp37mgw\\wgnuplot"*/
  540: #define FILENAMELENGTH 132
  541: 
  542: #define	GLOCK_ERROR_NOPATH		-1	/* empty path */
  543: #define	GLOCK_ERROR_GETCWD		-2	/* cannot get cwd */
  544: 
  545: #define MAXPARM 128 /**< Maximum number of parameters for the optimization */
  546: #define NPARMAX 64 /**< (nlstate+ndeath-1)*nlstate*ncovmodel */
  547: 
  548: #define NINTERVMAX 8
  549: #define NLSTATEMAX 8 /**< Maximum number of live states (for func) */
  550: #define NDEATHMAX 8 /**< Maximum number of dead states (for func) */
  551: #define NCOVMAX 20 /**< Maximum number of covariates, including generated covariates V1*V2 */
  552: #define codtabm(h,k)  1 & (h-1) >> (k-1) ;
  553: #define MAXN 20000
  554: #define YEARM 12. /**< Number of months per year */
  555: #define AGESUP 130
  556: #define AGEBASE 40
  557: #define AGEGOMP 10. /**< Minimal age for Gompertz adjustment */
  558: #ifdef _WIN32
  559: #define DIRSEPARATOR '\\'
  560: #define CHARSEPARATOR "\\"
  561: #define ODIRSEPARATOR '/'
  562: #else
  563: #define DIRSEPARATOR '/'
  564: #define CHARSEPARATOR "/"
  565: #define ODIRSEPARATOR '\\'
  566: #endif
  567: 
  568: /* $Id: imach.c,v 1.162 2014/09/25 11:43:39 brouard Exp $ */
  569: /* $State: Exp $ */
  570: 
  571: char version[]="Imach version 0.99, September 2014,INED-EUROREVES-Institut de longevite-Japan Society for the Promotion of Science (Grant-in-Aid for Scientific Research 25293121)";
  572: char fullversion[]="$Revision: 1.162 $ $Date: 2014/09/25 11:43:39 $"; 
  573: char strstart[80];
  574: char optionfilext[10], optionfilefiname[FILENAMELENGTH];
  575: int erreur=0, nberr=0, nbwarn=0; /* Error number, number of errors number of warnings  */
  576: int nvar=0, nforce=0; /* Number of variables, number of forces */
  577: /* Number of covariates model=V2+V1+ V3*age+V2*V4 */
  578: int cptcovn=0; /**< cptcovn number of covariates added in the model (excepting constant and age and age*product) */
  579: int cptcovt=0; /**< cptcovt number of covariates added in the model (excepting constant and age) */
  580: int cptcovs=0; /**< cptcovs number of simple covariates V2+V1 =2 */
  581: int cptcovage=0; /**< Number of covariates with age: V3*age only =1 */
  582: int cptcovprodnoage=0; /**< Number of covariate products without age */   
  583: int cptcoveff=0; /* Total number of covariates to vary for printing results */
  584: int cptcov=0; /* Working variable */
  585: int npar=NPARMAX;
  586: int nlstate=2; /* Number of live states */
  587: int ndeath=1; /* Number of dead states */
  588: int ncovmodel=0, ncovcol=0;     /* Total number of covariables including constant a12*1 +b12*x ncovmodel=2 */
  589: int popbased=0;
  590: 
  591: int *wav; /* Number of waves for this individuual 0 is possible */
  592: int maxwav=0; /* Maxim number of waves */
  593: int jmin=0, jmax=0; /* min, max spacing between 2 waves */
  594: int ijmin=0, ijmax=0; /* Individuals having jmin and jmax */ 
  595: int gipmx=0, gsw=0; /* Global variables on the number of contributions 
  596: 		   to the likelihood and the sum of weights (done by funcone)*/
  597: int mle=1, weightopt=0;
  598: int **mw; /* mw[mi][i] is number of the mi wave for this individual */
  599: int **dh; /* dh[mi][i] is number of steps between mi,mi+1 for this individual */
  600: int **bh; /* bh[mi][i] is the bias (+ or -) for this individual if the delay between
  601: 	   * wave mi and wave mi+1 is not an exact multiple of stepm. */
  602: int countcallfunc=0;  /* Count the number of calls to func */
  603: double jmean=1; /* Mean space between 2 waves */
  604: double **matprod2(); /* test */
  605: double **oldm, **newm, **savm; /* Working pointers to matrices */
  606: double **oldms, **newms, **savms; /* Fixed working pointers to matrices */
  607: /*FILE *fic ; */ /* Used in readdata only */
  608: FILE *ficpar, *ficparo,*ficres, *ficresp, *ficrespl, *ficrespij, *ficrest,*ficresf,*ficrespop;
  609: FILE *ficlog, *ficrespow;
  610: int globpr=0; /* Global variable for printing or not */
  611: double fretone; /* Only one call to likelihood */
  612: long ipmx=0; /* Number of contributions */
  613: double sw; /* Sum of weights */
  614: char filerespow[FILENAMELENGTH];
  615: char fileresilk[FILENAMELENGTH]; /* File of individual contributions to the likelihood */
  616: FILE *ficresilk;
  617: FILE *ficgp,*ficresprob,*ficpop, *ficresprobcov, *ficresprobcor;
  618: FILE *ficresprobmorprev;
  619: FILE *fichtm, *fichtmcov; /* Html File */
  620: FILE *ficreseij;
  621: char filerese[FILENAMELENGTH];
  622: FILE *ficresstdeij;
  623: char fileresstde[FILENAMELENGTH];
  624: FILE *ficrescveij;
  625: char filerescve[FILENAMELENGTH];
  626: FILE  *ficresvij;
  627: char fileresv[FILENAMELENGTH];
  628: FILE  *ficresvpl;
  629: char fileresvpl[FILENAMELENGTH];
  630: char title[MAXLINE];
  631: char optionfile[FILENAMELENGTH], datafile[FILENAMELENGTH],  filerespl[FILENAMELENGTH];
  632: char plotcmd[FILENAMELENGTH], pplotcmd[FILENAMELENGTH];
  633: char tmpout[FILENAMELENGTH],  tmpout2[FILENAMELENGTH]; 
  634: char command[FILENAMELENGTH];
  635: int  outcmd=0;
  636: 
  637: char fileres[FILENAMELENGTH], filerespij[FILENAMELENGTH], filereso[FILENAMELENGTH], rfileres[FILENAMELENGTH];
  638: 
  639: char filelog[FILENAMELENGTH]; /* Log file */
  640: char filerest[FILENAMELENGTH];
  641: char fileregp[FILENAMELENGTH];
  642: char popfile[FILENAMELENGTH];
  643: 
  644: char optionfilegnuplot[FILENAMELENGTH], optionfilehtm[FILENAMELENGTH], optionfilehtmcov[FILENAMELENGTH] ;
  645: 
  646: /* struct timeval start_time, end_time, curr_time, last_time, forecast_time; */
  647: /* struct timezone tzp; */
  648: /* extern int gettimeofday(); */
  649: struct tm tml, *gmtime(), *localtime();
  650: 
  651: extern time_t time();
  652: 
  653: struct tm start_time, end_time, curr_time, last_time, forecast_time;
  654: time_t  rstart_time, rend_time, rcurr_time, rlast_time, rforecast_time; /* raw time */
  655: struct tm tm;
  656: 
  657: char strcurr[80], strfor[80];
  658: 
  659: char *endptr;
  660: long lval;
  661: double dval;
  662: 
  663: #define NR_END 1
  664: #define FREE_ARG char*
  665: #define FTOL 1.0e-10
  666: 
  667: #define NRANSI 
  668: #define ITMAX 200 
  669: 
  670: #define TOL 2.0e-4 
  671: 
  672: #define CGOLD 0.3819660 
  673: #define ZEPS 1.0e-10 
  674: #define SHFT(a,b,c,d) (a)=(b);(b)=(c);(c)=(d); 
  675: 
  676: #define GOLD 1.618034 
  677: #define GLIMIT 100.0 
  678: #define TINY 1.0e-20 
  679: 
  680: static double maxarg1,maxarg2;
  681: #define FMAX(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)>(maxarg2)? (maxarg1):(maxarg2))
  682: #define FMIN(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)<(maxarg2)? (maxarg1):(maxarg2))
  683:   
  684: #define SIGN(a,b) ((b)>0.0 ? fabs(a) : -fabs(a))
  685: #define rint(a) floor(a+0.5)
  686: 
  687: static double sqrarg;
  688: #define SQR(a) ((sqrarg=(a)) == 0.0 ? 0.0 :sqrarg*sqrarg)
  689: #define SWAP(a,b) {temp=(a);(a)=(b);(b)=temp;} 
  690: int agegomp= AGEGOMP;
  691: 
  692: int imx; 
  693: int stepm=1;
  694: /* Stepm, step in month: minimum step interpolation*/
  695: 
  696: int estepm;
  697: /* Estepm, step in month to interpolate survival function in order to approximate Life Expectancy*/
  698: 
  699: int m,nb;
  700: long *num;
  701: int firstpass=0, lastpass=4,*cod, *ncodemax, *Tage,*cens;
  702: double **agev,*moisnais, *annais, *moisdc, *andc,**mint, **anint;
  703: double **pmmij, ***probs;
  704: double *ageexmed,*agecens;
  705: double dateintmean=0;
  706: 
  707: double *weight;
  708: int **s; /* Status */
  709: double *agedc;
  710: double  **covar; /**< covar[j,i], value of jth covariate for individual i,
  711: 		  * covar=matrix(0,NCOVMAX,1,n); 
  712: 		  * cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2]; */
  713: double  idx; 
  714: int **nbcode, *Tvar; /**< model=V2 => Tvar[1]= 2 */
  715: int *Ndum; /** Freq of modality (tricode */
  716: int **codtab; /**< codtab=imatrix(1,100,1,10); */
  717: int **Tvard, *Tprod, cptcovprod, *Tvaraff;
  718: double *lsurv, *lpop, *tpop;
  719: 
  720: double ftol=FTOL; /**< Tolerance for computing Max Likelihood */
  721: double ftolhess; /**< Tolerance for computing hessian */
  722: 
  723: /**************** split *************************/
  724: static	int split( char *path, char *dirc, char *name, char *ext, char *finame )
  725: {
  726:   /* From a file name with (full) path (either Unix or Windows) we extract the directory (dirc)
  727:      the name of the file (name), its extension only (ext) and its first part of the name (finame)
  728:   */ 
  729:   char	*ss;				/* pointer */
  730:   int	l1, l2;				/* length counters */
  731: 
  732:   l1 = strlen(path );			/* length of path */
  733:   if ( l1 == 0 ) return( GLOCK_ERROR_NOPATH );
  734:   ss= strrchr( path, DIRSEPARATOR );		/* find last / */
  735:   if ( ss == NULL ) {			/* no directory, so determine current directory */
  736:     strcpy( name, path );		/* we got the fullname name because no directory */
  737:     /*if(strrchr(path, ODIRSEPARATOR )==NULL)
  738:       printf("Warning you should use %s as a separator\n",DIRSEPARATOR);*/
  739:     /* get current working directory */
  740:     /*    extern  char* getcwd ( char *buf , int len);*/
  741:     if ( getcwd( dirc, FILENAME_MAX ) == NULL ) {
  742:       return( GLOCK_ERROR_GETCWD );
  743:     }
  744:     /* got dirc from getcwd*/
  745:     printf(" DIRC = %s \n",dirc);
  746:   } else {				/* strip direcotry from path */
  747:     ss++;				/* after this, the filename */
  748:     l2 = strlen( ss );			/* length of filename */
  749:     if ( l2 == 0 ) return( GLOCK_ERROR_NOPATH );
  750:     strcpy( name, ss );		/* save file name */
  751:     strncpy( dirc, path, l1 - l2 );	/* now the directory */
  752:     dirc[l1-l2] = 0;			/* add zero */
  753:     printf(" DIRC2 = %s \n",dirc);
  754:   }
  755:   /* We add a separator at the end of dirc if not exists */
  756:   l1 = strlen( dirc );			/* length of directory */
  757:   if( dirc[l1-1] != DIRSEPARATOR ){
  758:     dirc[l1] =  DIRSEPARATOR;
  759:     dirc[l1+1] = 0; 
  760:     printf(" DIRC3 = %s \n",dirc);
  761:   }
  762:   ss = strrchr( name, '.' );		/* find last / */
  763:   if (ss >0){
  764:     ss++;
  765:     strcpy(ext,ss);			/* save extension */
  766:     l1= strlen( name);
  767:     l2= strlen(ss)+1;
  768:     strncpy( finame, name, l1-l2);
  769:     finame[l1-l2]= 0;
  770:   }
  771: 
  772:   return( 0 );				/* we're done */
  773: }
  774: 
  775: 
  776: /******************************************/
  777: 
  778: void replace_back_to_slash(char *s, char*t)
  779: {
  780:   int i;
  781:   int lg=0;
  782:   i=0;
  783:   lg=strlen(t);
  784:   for(i=0; i<= lg; i++) {
  785:     (s[i] = t[i]);
  786:     if (t[i]== '\\') s[i]='/';
  787:   }
  788: }
  789: 
  790: char *trimbb(char *out, char *in)
  791: { /* Trim multiple blanks in line but keeps first blanks if line starts with blanks */
  792:   char *s;
  793:   s=out;
  794:   while (*in != '\0'){
  795:     while( *in == ' ' && *(in+1) == ' '){ /* && *(in+1) != '\0'){*/
  796:       in++;
  797:     }
  798:     *out++ = *in++;
  799:   }
  800:   *out='\0';
  801:   return s;
  802: }
  803: 
  804: char *cutl(char *blocc, char *alocc, char *in, char occ)
  805: {
  806:   /* cuts string in into blocc and alocc where blocc ends before first occurence of char 'occ' 
  807:      and alocc starts after first occurence of char 'occ' : ex cutv(blocc,alocc,"abcdef2ghi2j",'2')
  808:      gives blocc="abcdef2ghi" and alocc="j".
  809:      If occ is not found blocc is null and alocc is equal to in. Returns blocc
  810:   */
  811:   char *s, *t;
  812:   t=in;s=in;
  813:   while ((*in != occ) && (*in != '\0')){
  814:     *alocc++ = *in++;
  815:   }
  816:   if( *in == occ){
  817:     *(alocc)='\0';
  818:     s=++in;
  819:   }
  820:  
  821:   if (s == t) {/* occ not found */
  822:     *(alocc-(in-s))='\0';
  823:     in=s;
  824:   }
  825:   while ( *in != '\0'){
  826:     *blocc++ = *in++;
  827:   }
  828: 
  829:   *blocc='\0';
  830:   return t;
  831: }
  832: char *cutv(char *blocc, char *alocc, char *in, char occ)
  833: {
  834:   /* cuts string in into blocc and alocc where blocc ends before last occurence of char 'occ' 
  835:      and alocc starts after last occurence of char 'occ' : ex cutv(blocc,alocc,"abcdef2ghi2j",'2')
  836:      gives blocc="abcdef2ghi" and alocc="j".
  837:      If occ is not found blocc is null and alocc is equal to in. Returns alocc
  838:   */
  839:   char *s, *t;
  840:   t=in;s=in;
  841:   while (*in != '\0'){
  842:     while( *in == occ){
  843:       *blocc++ = *in++;
  844:       s=in;
  845:     }
  846:     *blocc++ = *in++;
  847:   }
  848:   if (s == t) /* occ not found */
  849:     *(blocc-(in-s))='\0';
  850:   else
  851:     *(blocc-(in-s)-1)='\0';
  852:   in=s;
  853:   while ( *in != '\0'){
  854:     *alocc++ = *in++;
  855:   }
  856: 
  857:   *alocc='\0';
  858:   return s;
  859: }
  860: 
  861: int nbocc(char *s, char occ)
  862: {
  863:   int i,j=0;
  864:   int lg=20;
  865:   i=0;
  866:   lg=strlen(s);
  867:   for(i=0; i<= lg; i++) {
  868:   if  (s[i] == occ ) j++;
  869:   }
  870:   return j;
  871: }
  872: 
  873: /* void cutv(char *u,char *v, char*t, char occ) */
  874: /* { */
  875: /*   /\* cuts string t into u and v where u ends before last occurence of char 'occ'  */
  876: /*      and v starts after last occurence of char 'occ' : ex cutv(u,v,"abcdef2ghi2j",'2') */
  877: /*      gives u="abcdef2ghi" and v="j" *\/ */
  878: /*   int i,lg,j,p=0; */
  879: /*   i=0; */
  880: /*   lg=strlen(t); */
  881: /*   for(j=0; j<=lg-1; j++) { */
  882: /*     if((t[j]!= occ) && (t[j+1]== occ)) p=j+1; */
  883: /*   } */
  884: 
  885: /*   for(j=0; j<p; j++) { */
  886: /*     (u[j] = t[j]); */
  887: /*   } */
  888: /*      u[p]='\0'; */
  889: 
  890: /*    for(j=0; j<= lg; j++) { */
  891: /*     if (j>=(p+1))(v[j-p-1] = t[j]); */
  892: /*   } */
  893: /* } */
  894: 
  895: #ifdef _WIN32
  896: char * strsep(char **pp, const char *delim)
  897: {
  898:   char *p, *q;
  899:          
  900:   if ((p = *pp) == NULL)
  901:     return 0;
  902:   if ((q = strpbrk (p, delim)) != NULL)
  903:   {
  904:     *pp = q + 1;
  905:     *q = '\0';
  906:   }
  907:   else
  908:     *pp = 0;
  909:   return p;
  910: }
  911: #endif
  912: 
  913: /********************** nrerror ********************/
  914: 
  915: void nrerror(char error_text[])
  916: {
  917:   fprintf(stderr,"ERREUR ...\n");
  918:   fprintf(stderr,"%s\n",error_text);
  919:   exit(EXIT_FAILURE);
  920: }
  921: /*********************** vector *******************/
  922: double *vector(int nl, int nh)
  923: {
  924:   double *v;
  925:   v=(double *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(double)));
  926:   if (!v) nrerror("allocation failure in vector");
  927:   return v-nl+NR_END;
  928: }
  929: 
  930: /************************ free vector ******************/
  931: void free_vector(double*v, int nl, int nh)
  932: {
  933:   free((FREE_ARG)(v+nl-NR_END));
  934: }
  935: 
  936: /************************ivector *******************************/
  937: int *ivector(long nl,long nh)
  938: {
  939:   int *v;
  940:   v=(int *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(int)));
  941:   if (!v) nrerror("allocation failure in ivector");
  942:   return v-nl+NR_END;
  943: }
  944: 
  945: /******************free ivector **************************/
  946: void free_ivector(int *v, long nl, long nh)
  947: {
  948:   free((FREE_ARG)(v+nl-NR_END));
  949: }
  950: 
  951: /************************lvector *******************************/
  952: long *lvector(long nl,long nh)
  953: {
  954:   long *v;
  955:   v=(long *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(long)));
  956:   if (!v) nrerror("allocation failure in ivector");
  957:   return v-nl+NR_END;
  958: }
  959: 
  960: /******************free lvector **************************/
  961: void free_lvector(long *v, long nl, long nh)
  962: {
  963:   free((FREE_ARG)(v+nl-NR_END));
  964: }
  965: 
  966: /******************* imatrix *******************************/
  967: int **imatrix(long nrl, long nrh, long ncl, long nch) 
  968:      /* allocate a int matrix with subscript range m[nrl..nrh][ncl..nch] */ 
  969: { 
  970:   long i, nrow=nrh-nrl+1,ncol=nch-ncl+1; 
  971:   int **m; 
  972:   
  973:   /* allocate pointers to rows */ 
  974:   m=(int **) malloc((size_t)((nrow+NR_END)*sizeof(int*))); 
  975:   if (!m) nrerror("allocation failure 1 in matrix()"); 
  976:   m += NR_END; 
  977:   m -= nrl; 
  978:   
  979:   
  980:   /* allocate rows and set pointers to them */ 
  981:   m[nrl]=(int *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(int))); 
  982:   if (!m[nrl]) nrerror("allocation failure 2 in matrix()"); 
  983:   m[nrl] += NR_END; 
  984:   m[nrl] -= ncl; 
  985:   
  986:   for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol; 
  987:   
  988:   /* return pointer to array of pointers to rows */ 
  989:   return m; 
  990: } 
  991: 
  992: /****************** free_imatrix *************************/
  993: void free_imatrix(m,nrl,nrh,ncl,nch)
  994:       int **m;
  995:       long nch,ncl,nrh,nrl; 
  996:      /* free an int matrix allocated by imatrix() */ 
  997: { 
  998:   free((FREE_ARG) (m[nrl]+ncl-NR_END)); 
  999:   free((FREE_ARG) (m+nrl-NR_END)); 
 1000: } 
 1001: 
 1002: /******************* matrix *******************************/
 1003: double **matrix(long nrl, long nrh, long ncl, long nch)
 1004: {
 1005:   long i, nrow=nrh-nrl+1, ncol=nch-ncl+1;
 1006:   double **m;
 1007: 
 1008:   m=(double **) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
 1009:   if (!m) nrerror("allocation failure 1 in matrix()");
 1010:   m += NR_END;
 1011:   m -= nrl;
 1012: 
 1013:   m[nrl]=(double *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
 1014:   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
 1015:   m[nrl] += NR_END;
 1016:   m[nrl] -= ncl;
 1017: 
 1018:   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
 1019:   return m;
 1020:   /* print *(*(m+1)+70) or print m[1][70]; print m+1 or print &(m[1]) or &(m[1][0])
 1021: m[i] = address of ith row of the table. &(m[i]) is its value which is another adress
 1022: that of m[i][0]. In order to get the value p m[i][0] but it is unitialized.
 1023:    */
 1024: }
 1025: 
 1026: /*************************free matrix ************************/
 1027: void free_matrix(double **m, long nrl, long nrh, long ncl, long nch)
 1028: {
 1029:   free((FREE_ARG)(m[nrl]+ncl-NR_END));
 1030:   free((FREE_ARG)(m+nrl-NR_END));
 1031: }
 1032: 
 1033: /******************* ma3x *******************************/
 1034: double ***ma3x(long nrl, long nrh, long ncl, long nch, long nll, long nlh)
 1035: {
 1036:   long i, j, nrow=nrh-nrl+1, ncol=nch-ncl+1, nlay=nlh-nll+1;
 1037:   double ***m;
 1038: 
 1039:   m=(double ***) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
 1040:   if (!m) nrerror("allocation failure 1 in matrix()");
 1041:   m += NR_END;
 1042:   m -= nrl;
 1043: 
 1044:   m[nrl]=(double **) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
 1045:   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
 1046:   m[nrl] += NR_END;
 1047:   m[nrl] -= ncl;
 1048: 
 1049:   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
 1050: 
 1051:   m[nrl][ncl]=(double *) malloc((size_t)((nrow*ncol*nlay+NR_END)*sizeof(double)));
 1052:   if (!m[nrl][ncl]) nrerror("allocation failure 3 in matrix()");
 1053:   m[nrl][ncl] += NR_END;
 1054:   m[nrl][ncl] -= nll;
 1055:   for (j=ncl+1; j<=nch; j++) 
 1056:     m[nrl][j]=m[nrl][j-1]+nlay;
 1057:   
 1058:   for (i=nrl+1; i<=nrh; i++) {
 1059:     m[i][ncl]=m[i-1l][ncl]+ncol*nlay;
 1060:     for (j=ncl+1; j<=nch; j++) 
 1061:       m[i][j]=m[i][j-1]+nlay;
 1062:   }
 1063:   return m; 
 1064:   /*  gdb: p *(m+1) <=> p m[1] and p (m+1) <=> p (m+1) <=> p &(m[1])
 1065:            &(m[i][j][k]) <=> *((*(m+i) + j)+k)
 1066:   */
 1067: }
 1068: 
 1069: /*************************free ma3x ************************/
 1070: void free_ma3x(double ***m, long nrl, long nrh, long ncl, long nch,long nll, long nlh)
 1071: {
 1072:   free((FREE_ARG)(m[nrl][ncl]+ nll-NR_END));
 1073:   free((FREE_ARG)(m[nrl]+ncl-NR_END));
 1074:   free((FREE_ARG)(m+nrl-NR_END));
 1075: }
 1076: 
 1077: /*************** function subdirf ***********/
 1078: char *subdirf(char fileres[])
 1079: {
 1080:   /* Caution optionfilefiname is hidden */
 1081:   strcpy(tmpout,optionfilefiname);
 1082:   strcat(tmpout,"/"); /* Add to the right */
 1083:   strcat(tmpout,fileres);
 1084:   return tmpout;
 1085: }
 1086: 
 1087: /*************** function subdirf2 ***********/
 1088: char *subdirf2(char fileres[], char *preop)
 1089: {
 1090:   
 1091:   /* Caution optionfilefiname is hidden */
 1092:   strcpy(tmpout,optionfilefiname);
 1093:   strcat(tmpout,"/");
 1094:   strcat(tmpout,preop);
 1095:   strcat(tmpout,fileres);
 1096:   return tmpout;
 1097: }
 1098: 
 1099: /*************** function subdirf3 ***********/
 1100: char *subdirf3(char fileres[], char *preop, char *preop2)
 1101: {
 1102:   
 1103:   /* Caution optionfilefiname is hidden */
 1104:   strcpy(tmpout,optionfilefiname);
 1105:   strcat(tmpout,"/");
 1106:   strcat(tmpout,preop);
 1107:   strcat(tmpout,preop2);
 1108:   strcat(tmpout,fileres);
 1109:   return tmpout;
 1110: }
 1111: 
 1112: char *asc_diff_time(long time_sec, char ascdiff[])
 1113: {
 1114:   long sec_left, days, hours, minutes;
 1115:   days = (time_sec) / (60*60*24);
 1116:   sec_left = (time_sec) % (60*60*24);
 1117:   hours = (sec_left) / (60*60) ;
 1118:   sec_left = (sec_left) %(60*60);
 1119:   minutes = (sec_left) /60;
 1120:   sec_left = (sec_left) % (60);
 1121:   sprintf(ascdiff,"%ld day(s) %ld hour(s) %ld minute(s) %ld second(s)",days, hours, minutes, sec_left);  
 1122:   return ascdiff;
 1123: }
 1124: 
 1125: /***************** f1dim *************************/
 1126: extern int ncom; 
 1127: extern double *pcom,*xicom;
 1128: extern double (*nrfunc)(double []); 
 1129:  
 1130: double f1dim(double x) 
 1131: { 
 1132:   int j; 
 1133:   double f;
 1134:   double *xt; 
 1135:  
 1136:   xt=vector(1,ncom); 
 1137:   for (j=1;j<=ncom;j++) xt[j]=pcom[j]+x*xicom[j]; 
 1138:   f=(*nrfunc)(xt); 
 1139:   free_vector(xt,1,ncom); 
 1140:   return f; 
 1141: } 
 1142: 
 1143: /*****************brent *************************/
 1144: double brent(double ax, double bx, double cx, double (*f)(double), double tol, 	double *xmin) 
 1145: { 
 1146:   int iter; 
 1147:   double a,b,d,etemp;
 1148:   double fu=0,fv,fw,fx;
 1149:   double ftemp;
 1150:   double p,q,r,tol1,tol2,u,v,w,x,xm; 
 1151:   double e=0.0; 
 1152:  
 1153:   a=(ax < cx ? ax : cx); 
 1154:   b=(ax > cx ? ax : cx); 
 1155:   x=w=v=bx; 
 1156:   fw=fv=fx=(*f)(x); 
 1157:   for (iter=1;iter<=ITMAX;iter++) { 
 1158:     xm=0.5*(a+b); 
 1159:     tol2=2.0*(tol1=tol*fabs(x)+ZEPS); 
 1160:     /*		if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret)))*/
 1161:     printf(".");fflush(stdout);
 1162:     fprintf(ficlog,".");fflush(ficlog);
 1163: #ifdef DEBUGBRENT
 1164:     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);
 1165:     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);
 1166:     /*		if ((fabs(x-xm) <= (tol2-0.5*(b-a)))||(2.0*fabs(fu-ftemp) <= ftol*1.e-2*(fabs(fu)+fabs(ftemp)))) { */
 1167: #endif
 1168:     if (fabs(x-xm) <= (tol2-0.5*(b-a))){ 
 1169:       *xmin=x; 
 1170:       return fx; 
 1171:     } 
 1172:     ftemp=fu;
 1173:     if (fabs(e) > tol1) { 
 1174:       r=(x-w)*(fx-fv); 
 1175:       q=(x-v)*(fx-fw); 
 1176:       p=(x-v)*q-(x-w)*r; 
 1177:       q=2.0*(q-r); 
 1178:       if (q > 0.0) p = -p; 
 1179:       q=fabs(q); 
 1180:       etemp=e; 
 1181:       e=d; 
 1182:       if (fabs(p) >= fabs(0.5*q*etemp) || p <= q*(a-x) || p >= q*(b-x)) 
 1183: 	d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
 1184:       else { 
 1185: 	d=p/q; 
 1186: 	u=x+d; 
 1187: 	if (u-a < tol2 || b-u < tol2) 
 1188: 	  d=SIGN(tol1,xm-x); 
 1189:       } 
 1190:     } else { 
 1191:       d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
 1192:     } 
 1193:     u=(fabs(d) >= tol1 ? x+d : x+SIGN(tol1,d)); 
 1194:     fu=(*f)(u); 
 1195:     if (fu <= fx) { 
 1196:       if (u >= x) a=x; else b=x; 
 1197:       SHFT(v,w,x,u) 
 1198: 	SHFT(fv,fw,fx,fu) 
 1199: 	} else { 
 1200: 	  if (u < x) a=u; else b=u; 
 1201: 	  if (fu <= fw || w == x) { 
 1202: 	    v=w; 
 1203: 	    w=u; 
 1204: 	    fv=fw; 
 1205: 	    fw=fu; 
 1206: 	  } else if (fu <= fv || v == x || v == w) { 
 1207: 	    v=u; 
 1208: 	    fv=fu; 
 1209: 	  } 
 1210: 	} 
 1211:   } 
 1212:   nrerror("Too many iterations in brent"); 
 1213:   *xmin=x; 
 1214:   return fx; 
 1215: } 
 1216: 
 1217: /****************** mnbrak ***********************/
 1218: 
 1219: void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, double *fc, 
 1220: 	    double (*func)(double)) 
 1221: { 
 1222:   double ulim,u,r,q, dum;
 1223:   double fu; 
 1224:  
 1225:   *fa=(*func)(*ax); 
 1226:   *fb=(*func)(*bx); 
 1227:   if (*fb > *fa) { 
 1228:     SHFT(dum,*ax,*bx,dum) 
 1229:       SHFT(dum,*fb,*fa,dum) 
 1230:       } 
 1231:   *cx=(*bx)+GOLD*(*bx-*ax); 
 1232:   *fc=(*func)(*cx); 
 1233:   while (*fb > *fc) { /* Declining fa, fb, fc */
 1234:     r=(*bx-*ax)*(*fb-*fc); 
 1235:     q=(*bx-*cx)*(*fb-*fa); 
 1236:     u=(*bx)-((*bx-*cx)*q-(*bx-*ax)*r)/ 
 1237:       (2.0*SIGN(FMAX(fabs(q-r),TINY),q-r)); /* Minimum abscisse of a parabolic estimated from (a,fa), (b,fb) and (c,fc). */
 1238:     ulim=(*bx)+GLIMIT*(*cx-*bx); /* Maximum abscisse where function can be evaluated */
 1239:     if ((*bx-u)*(u-*cx) > 0.0) { /* if u between b and c */
 1240:       fu=(*func)(u); 
 1241:     } else if ((*cx-u)*(u-ulim) > 0.0) { /* u is after c but before ulim */
 1242:       fu=(*func)(u); 
 1243:       if (fu < *fc) { 
 1244: 	SHFT(*bx,*cx,u,*cx+GOLD*(*cx-*bx)) 
 1245: 	  SHFT(*fb,*fc,fu,(*func)(u)) 
 1246: 	  } 
 1247:     } else if ((u-ulim)*(ulim-*cx) >= 0.0) { /* u outside ulim (verifying that ulim is beyond c) */
 1248:       u=ulim; 
 1249:       fu=(*func)(u); 
 1250:     } else { 
 1251:       u=(*cx)+GOLD*(*cx-*bx); 
 1252:       fu=(*func)(u); 
 1253:     } 
 1254:     SHFT(*ax,*bx,*cx,u) 
 1255:       SHFT(*fa,*fb,*fc,fu) 
 1256:       } 
 1257: } 
 1258: 
 1259: /*************** linmin ************************/
 1260: /* Given an n -dimensional point p[1..n] and an n -dimensional direction xi[1..n] , moves and
 1261: resets p to where the function func(p) takes on a minimum along the direction xi from p ,
 1262: and replaces xi by the actual vector displacement that p was moved. Also returns as fret
 1263: the value of func at the returned location p . This is actually all accomplished by calling the
 1264: routines mnbrak and brent .*/
 1265: int ncom; 
 1266: double *pcom,*xicom;
 1267: double (*nrfunc)(double []); 
 1268:  
 1269: void linmin(double p[], double xi[], int n, double *fret,double (*func)(double [])) 
 1270: { 
 1271:   double brent(double ax, double bx, double cx, 
 1272: 	       double (*f)(double), double tol, double *xmin); 
 1273:   double f1dim(double x); 
 1274:   void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, 
 1275: 	      double *fc, double (*func)(double)); 
 1276:   int j; 
 1277:   double xx,xmin,bx,ax; 
 1278:   double fx,fb,fa;
 1279:  
 1280:   ncom=n; 
 1281:   pcom=vector(1,n); 
 1282:   xicom=vector(1,n); 
 1283:   nrfunc=func; 
 1284:   for (j=1;j<=n;j++) { 
 1285:     pcom[j]=p[j]; 
 1286:     xicom[j]=xi[j]; 
 1287:   } 
 1288:   ax=0.0; 
 1289:   xx=1.0; 
 1290:   mnbrak(&ax,&xx,&bx,&fa,&fx,&fb,f1dim); /* Find a bracket a,x,b in direction n=xi ie xicom */
 1291:   *fret=brent(ax,xx,bx,f1dim,TOL,&xmin); /* Find a minimum P+lambda n in that direction (lambdamin), with TOL between abscisses */
 1292: #ifdef DEBUG
 1293:   printf("retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);
 1294:   fprintf(ficlog,"retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);
 1295: #endif
 1296:   for (j=1;j<=n;j++) { 
 1297:     xi[j] *= xmin; 
 1298:     p[j] += xi[j]; 
 1299:   } 
 1300:   free_vector(xicom,1,n); 
 1301:   free_vector(pcom,1,n); 
 1302: } 
 1303: 
 1304: 
 1305: /*************** powell ************************/
 1306: /*
 1307: Minimization of a function func of n variables. Input consists of an initial starting point
 1308: p[1..n] ; an initial matrix xi[1..n][1..n] , whose columns contain the initial set of di-
 1309: rections (usually the n unit vectors); and ftol , the fractional tolerance in the function value
 1310: such that failure to decrease by more than this amount on one iteration signals doneness. On
 1311: output, p is set to the best point found, xi is the then-current direction set, fret is the returned
 1312: function value at p , and iter is the number of iterations taken. The routine linmin is used.
 1313:  */
 1314: void powell(double p[], double **xi, int n, double ftol, int *iter, double *fret, 
 1315: 	    double (*func)(double [])) 
 1316: { 
 1317:   void linmin(double p[], double xi[], int n, double *fret, 
 1318: 	      double (*func)(double [])); 
 1319:   int i,ibig,j; 
 1320:   double del,t,*pt,*ptt,*xit;
 1321:   double fp,fptt;
 1322:   double *xits;
 1323:   int niterf, itmp;
 1324: 
 1325:   pt=vector(1,n); 
 1326:   ptt=vector(1,n); 
 1327:   xit=vector(1,n); 
 1328:   xits=vector(1,n); 
 1329:   *fret=(*func)(p); 
 1330:   for (j=1;j<=n;j++) pt[j]=p[j]; 
 1331:     rcurr_time = time(NULL);  
 1332:   for (*iter=1;;++(*iter)) { 
 1333:     fp=(*fret); 
 1334:     ibig=0; 
 1335:     del=0.0; 
 1336:     rlast_time=rcurr_time;
 1337:     /* (void) gettimeofday(&curr_time,&tzp); */
 1338:     rcurr_time = time(NULL);  
 1339:     curr_time = *localtime(&rcurr_time);
 1340:     printf("\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret, rcurr_time-rlast_time, rcurr_time-rstart_time);fflush(stdout);
 1341:     fprintf(ficlog,"\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret,rcurr_time-rlast_time, rcurr_time-rstart_time); fflush(ficlog);
 1342: /*     fprintf(ficrespow,"%d %.12f %ld",*iter,*fret,curr_time.tm_sec-start_time.tm_sec); */
 1343:    for (i=1;i<=n;i++) {
 1344:       printf(" %d %.12f",i, p[i]);
 1345:       fprintf(ficlog," %d %.12lf",i, p[i]);
 1346:       fprintf(ficrespow," %.12lf", p[i]);
 1347:     }
 1348:     printf("\n");
 1349:     fprintf(ficlog,"\n");
 1350:     fprintf(ficrespow,"\n");fflush(ficrespow);
 1351:     if(*iter <=3){
 1352:       tml = *localtime(&rcurr_time);
 1353:       strcpy(strcurr,asctime(&tml));
 1354:       rforecast_time=rcurr_time; 
 1355:       itmp = strlen(strcurr);
 1356:       if(strcurr[itmp-1]=='\n')  /* Windows outputs with a new line */
 1357: 	strcurr[itmp-1]='\0';
 1358:       printf("\nConsidering the time needed for the last iteration #%d: %ld seconds,\n",*iter,rcurr_time-rlast_time);
 1359:       fprintf(ficlog,"\nConsidering the time needed for this last iteration #%d: %ld seconds,\n",*iter,rcurr_time-rlast_time);
 1360:       for(niterf=10;niterf<=30;niterf+=10){
 1361: 	rforecast_time=rcurr_time+(niterf-*iter)*(rcurr_time-rlast_time);
 1362: 	forecast_time = *localtime(&rforecast_time);
 1363: 	strcpy(strfor,asctime(&forecast_time));
 1364: 	itmp = strlen(strfor);
 1365: 	if(strfor[itmp-1]=='\n')
 1366: 	strfor[itmp-1]='\0';
 1367: 	printf("   - if your program needs %d iterations to converge, convergence will be \n   reached in %s i.e.\n   on %s (current time is %s);\n",niterf, asc_diff_time(rforecast_time-rcurr_time,tmpout),strfor,strcurr);
 1368: 	fprintf(ficlog,"   - if your program needs %d iterations to converge, convergence will be \n   reached in %s i.e.\n   on %s (current time is %s);\n",niterf, asc_diff_time(rforecast_time-rcurr_time,tmpout),strfor,strcurr);
 1369:       }
 1370:     }
 1371:     for (i=1;i<=n;i++) { 
 1372:       for (j=1;j<=n;j++) xit[j]=xi[j][i]; 
 1373:       fptt=(*fret); 
 1374: #ifdef DEBUG
 1375:       printf("fret=%lf \n",*fret);
 1376:       fprintf(ficlog,"fret=%lf \n",*fret);
 1377: #endif
 1378:       printf("%d",i);fflush(stdout);
 1379:       fprintf(ficlog,"%d",i);fflush(ficlog);
 1380:       linmin(p,xit,n,fret,func); 
 1381:       if (fabs(fptt-(*fret)) > del) { 
 1382: 	del=fabs(fptt-(*fret)); 
 1383: 	ibig=i; 
 1384:       } 
 1385: #ifdef DEBUG
 1386:       printf("%d %.12e",i,(*fret));
 1387:       fprintf(ficlog,"%d %.12e",i,(*fret));
 1388:       for (j=1;j<=n;j++) {
 1389: 	xits[j]=FMAX(fabs(p[j]-pt[j]),1.e-5);
 1390: 	printf(" x(%d)=%.12e",j,xit[j]);
 1391: 	fprintf(ficlog," x(%d)=%.12e",j,xit[j]);
 1392:       }
 1393:       for(j=1;j<=n;j++) {
 1394: 	printf(" p(%d)=%.12e",j,p[j]);
 1395: 	fprintf(ficlog," p(%d)=%.12e",j,p[j]);
 1396:       }
 1397:       printf("\n");
 1398:       fprintf(ficlog,"\n");
 1399: #endif
 1400:     } /* end i */
 1401:     if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret))) {
 1402: #ifdef DEBUG
 1403:       int k[2],l;
 1404:       k[0]=1;
 1405:       k[1]=-1;
 1406:       printf("Max: %.12e",(*func)(p));
 1407:       fprintf(ficlog,"Max: %.12e",(*func)(p));
 1408:       for (j=1;j<=n;j++) {
 1409: 	printf(" %.12e",p[j]);
 1410: 	fprintf(ficlog," %.12e",p[j]);
 1411:       }
 1412:       printf("\n");
 1413:       fprintf(ficlog,"\n");
 1414:       for(l=0;l<=1;l++) {
 1415: 	for (j=1;j<=n;j++) {
 1416: 	  ptt[j]=p[j]+(p[j]-pt[j])*k[l];
 1417: 	  printf("l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
 1418: 	  fprintf(ficlog,"l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
 1419: 	}
 1420: 	printf("func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
 1421: 	fprintf(ficlog,"func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
 1422:       }
 1423: #endif
 1424: 
 1425: 
 1426:       free_vector(xit,1,n); 
 1427:       free_vector(xits,1,n); 
 1428:       free_vector(ptt,1,n); 
 1429:       free_vector(pt,1,n); 
 1430:       return; 
 1431:     } 
 1432:     if (*iter == ITMAX) nrerror("powell exceeding maximum iterations."); 
 1433:     for (j=1;j<=n;j++) { /* Computes an extrapolated point */
 1434:       ptt[j]=2.0*p[j]-pt[j]; 
 1435:       xit[j]=p[j]-pt[j]; 
 1436:       pt[j]=p[j]; 
 1437:     } 
 1438:     fptt=(*func)(ptt); 
 1439:     if (fptt < fp) { /* If extrapolated point is better, decide if we keep that new direction or not */
 1440:       /* (x1 f1=fp), (x2 f2=*fret), (x3 f3=fptt), (xm fm) */
 1441:       /* From x1 (P0) distance of x2 is at h and x3 is 2h */
 1442:       /* Let f"(x2) be the 2nd derivative equal everywhere.  */
 1443:       /* Then the parabolic through (x1,f1), (x2,f2) and (x3,f3) */
 1444:       /* will reach at f3 = fm + h^2/2 f"m  ; f" = (f1 -2f2 +f3 ) / h**2 */
 1445:       /* f1-f3 = delta(2h) = 2 h**2 f'' = 2(f1- 2f2 +f3) */
 1446:       /* Thus we compare delta(2h) with observed f1-f3 */
 1447:       /* or best gain on one ancient line 'del' with total  */
 1448:       /* gain f1-f2 = f1 - f2 - 'del' with del  */
 1449:       /* t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)-del*SQR(fp-fptt); */
 1450: 
 1451:       t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del);
 1452:       t= t- del*SQR(fp-fptt);
 1453:       printf("t1= %.12lf, t2= %.12lf, t=%.12lf\n", 2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del),del*SQR(fp-fptt),t);
 1454:       fprintf(ficlog,"t1= %.12lf, t2= %.12lf, t=%.12lf\n", 2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del),del*SQR(fp-fptt),t);
 1455: #ifdef DEBUG
 1456:       printf("t3= %.12lf, t4= %.12lf, t3*= %.12lf, t4*= %.12lf\n",SQR(fp-(*fret)-del),SQR(fp-fptt),
 1457: 	     (fp-(*fret)-del)*(fp-(*fret)-del),(fp-fptt)*(fp-fptt));
 1458:       fprintf(ficlog,"t3= %.12lf, t4= %.12lf, t3*= %.12lf, t4*= %.12lf\n",SQR(fp-(*fret)-del),SQR(fp-fptt),
 1459: 	     (fp-(*fret)-del)*(fp-(*fret)-del),(fp-fptt)*(fp-fptt));
 1460:       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);
 1461:       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);
 1462: #endif
 1463:       if (t < 0.0) { /* Then we use it for last direction */
 1464: 	linmin(p,xit,n,fret,func); /* computes mean on the extrapolated direction.*/
 1465: 	for (j=1;j<=n;j++) { 
 1466: 	  xi[j][ibig]=xi[j][n]; /* Replace the direction with biggest decrease by n */
 1467: 	  xi[j][n]=xit[j];      /* and nth direction by the extrapolated */
 1468: 	}
 1469: 	printf("Gaining to use average direction of P0 P%d instead of biggest increase direction %d :\n",n,ibig);
 1470: 	fprintf(ficlog,"Gaining to use average direction of P0 P%d instead of biggest increase direction :\n",n,ibig);
 1471: 
 1472: #ifdef DEBUG
 1473: 	for(j=1;j<=n;j++){
 1474: 	  printf(" %.12e",xit[j]);
 1475: 	  fprintf(ficlog," %.12e",xit[j]);
 1476: 	}
 1477: 	printf("\n");
 1478: 	fprintf(ficlog,"\n");
 1479: #endif
 1480:       } /* end of t negative */
 1481:     } /* end if (fptt < fp)  */
 1482:   } 
 1483: } 
 1484: 
 1485: /**** Prevalence limit (stable or period prevalence)  ****************/
 1486: 
 1487: double **prevalim(double **prlim, int nlstate, double x[], double age, double **oldm, double **savm, double ftolpl, int ij)
 1488: {
 1489:   /* Computes the prevalence limit in each live state at age x by left multiplying the unit
 1490:      matrix by transitions matrix until convergence is reached */
 1491: 
 1492:   int i, ii,j,k;
 1493:   double min, max, maxmin, maxmax,sumnew=0.;
 1494:   /* double **matprod2(); */ /* test */
 1495:   double **out, cov[NCOVMAX+1], **pmij();
 1496:   double **newm;
 1497:   double agefin, delaymax=50 ; /* Max number of years to converge */
 1498: 
 1499:   for (ii=1;ii<=nlstate+ndeath;ii++)
 1500:     for (j=1;j<=nlstate+ndeath;j++){
 1501:       oldm[ii][j]=(ii==j ? 1.0 : 0.0);
 1502:     }
 1503: 
 1504:    cov[1]=1.;
 1505:  
 1506:  /* Even if hstepm = 1, at least one multiplication by the unit matrix */
 1507:   for(agefin=age-stepm/YEARM; agefin>=age-delaymax; agefin=agefin-stepm/YEARM){
 1508:     newm=savm;
 1509:     /* Covariates have to be included here again */
 1510:     cov[2]=agefin;
 1511:     
 1512:     for (k=1; k<=cptcovn;k++) {
 1513:       cov[2+k]=nbcode[Tvar[k]][codtab[ij][Tvar[k]]];
 1514:       /*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]]);*/
 1515:     }
 1516:     /* for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
 1517:     /* for (k=1; k<=cptcovprod;k++) /\* Useless *\/ */
 1518:     /*   cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]] * nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]]; */
 1519:     
 1520:     /*printf("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/
 1521:     /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/
 1522:     /*printf("ij=%d cov[3]=%lf \n",ij, cov[3]);*/
 1523:     /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
 1524:     /* out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /\* Bug Valgrind *\/ */
 1525:     out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /* Bug Valgrind */
 1526:     
 1527:     savm=oldm;
 1528:     oldm=newm;
 1529:     maxmax=0.;
 1530:     for(j=1;j<=nlstate;j++){
 1531:       min=1.;
 1532:       max=0.;
 1533:       for(i=1; i<=nlstate; i++) {
 1534: 	sumnew=0;
 1535: 	for(k=1; k<=ndeath; k++) sumnew+=newm[i][nlstate+k];
 1536: 	prlim[i][j]= newm[i][j]/(1-sumnew);
 1537:         /*printf(" prevalim i=%d, j=%d, prmlim[%d][%d]=%f, agefin=%d \n", i, j, i, j, prlim[i][j],(int)agefin);*/
 1538: 	max=FMAX(max,prlim[i][j]);
 1539: 	min=FMIN(min,prlim[i][j]);
 1540:       }
 1541:       maxmin=max-min;
 1542:       maxmax=FMAX(maxmax,maxmin);
 1543:     }
 1544:     if(maxmax < ftolpl){
 1545:       return prlim;
 1546:     }
 1547:   }
 1548: }
 1549: 
 1550: /*************** transition probabilities ***************/ 
 1551: 
 1552: double **pmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )
 1553: {
 1554:   /* According to parameters values stored in x and the covariate's values stored in cov,
 1555:      computes the probability to be observed in state j being in state i by appying the
 1556:      model to the ncovmodel covariates (including constant and age).
 1557:      lnpijopii=ln(pij/pii)= aij+bij*age+cij*v1+dij*v2+... = sum_nc=1^ncovmodel xij(nc)*cov[nc]
 1558:      and, according on how parameters are entered, the position of the coefficient xij(nc) of the
 1559:      ncth covariate in the global vector x is given by the formula:
 1560:      j<i nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel
 1561:      j>=i nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel
 1562:      Computes ln(pij/pii) (lnpijopii), deduces pij/pii by exponentiation,
 1563:      sums on j different of i to get 1-pii/pii, deduces pii, and then all pij.
 1564:      Outputs ps[i][j] the probability to be observed in j being in j according to
 1565:      the values of the covariates cov[nc] and corresponding parameter values x[nc+shiftij]
 1566:   */
 1567:   double s1, lnpijopii;
 1568:   /*double t34;*/
 1569:   int i,j,j1, nc, ii, jj;
 1570: 
 1571:     for(i=1; i<= nlstate; i++){
 1572:       for(j=1; j<i;j++){
 1573: 	for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
 1574: 	  /*lnpijopii += param[i][j][nc]*cov[nc];*/
 1575: 	  lnpijopii += x[nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel]*cov[nc];
 1576: /* 	 printf("Int j<i s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
 1577: 	}
 1578: 	ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
 1579: /* 	printf("s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
 1580:       }
 1581:       for(j=i+1; j<=nlstate+ndeath;j++){
 1582: 	for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
 1583: 	  /*lnpijopii += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];*/
 1584: 	  lnpijopii += x[nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel]*cov[nc];
 1585: /* 	  printf("Int j>i s1=%.17e, lnpijopii=%.17e %lx %lx\n",s1,lnpijopii,s1,lnpijopii); */
 1586: 	}
 1587: 	ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
 1588:       }
 1589:     }
 1590:     
 1591:     for(i=1; i<= nlstate; i++){
 1592:       s1=0;
 1593:       for(j=1; j<i; j++){
 1594: 	s1+=exp(ps[i][j]); /* In fact sums pij/pii */
 1595: 	/*printf("debug1 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
 1596:       }
 1597:       for(j=i+1; j<=nlstate+ndeath; j++){
 1598: 	s1+=exp(ps[i][j]); /* In fact sums pij/pii */
 1599: 	/*printf("debug2 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
 1600:       }
 1601:       /* s1= sum_{j<>i} pij/pii=(1-pii)/pii and thus pii is known from s1 */
 1602:       ps[i][i]=1./(s1+1.);
 1603:       /* Computing other pijs */
 1604:       for(j=1; j<i; j++)
 1605: 	ps[i][j]= exp(ps[i][j])*ps[i][i];
 1606:       for(j=i+1; j<=nlstate+ndeath; j++)
 1607: 	ps[i][j]= exp(ps[i][j])*ps[i][i];
 1608:       /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */
 1609:     } /* end i */
 1610:     
 1611:     for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){
 1612:       for(jj=1; jj<= nlstate+ndeath; jj++){
 1613: 	ps[ii][jj]=0;
 1614: 	ps[ii][ii]=1;
 1615:       }
 1616:     }
 1617:     
 1618:     
 1619:     /* for(ii=1; ii<= nlstate+ndeath; ii++){ */
 1620:     /*   for(jj=1; jj<= nlstate+ndeath; jj++){ */
 1621:     /* 	printf(" pmij  ps[%d][%d]=%lf ",ii,jj,ps[ii][jj]); */
 1622:     /*   } */
 1623:     /*   printf("\n "); */
 1624:     /* } */
 1625:     /* printf("\n ");printf("%lf ",cov[2]);*/
 1626:     /*
 1627:       for(i=1; i<= npar; i++) printf("%f ",x[i]);
 1628:       goto end;*/
 1629:     return ps;
 1630: }
 1631: 
 1632: /**************** Product of 2 matrices ******************/
 1633: 
 1634: double **matprod2(double **out, double **in,int nrl, int nrh, int ncl, int nch, int ncolol, int ncoloh, double **b)
 1635: {
 1636:   /* Computes the matrix product of in(1,nrh-nrl+1)(1,nch-ncl+1) times
 1637:      b(1,nch-ncl+1)(1,ncoloh-ncolol+1) into out(...) */
 1638:   /* in, b, out are matrice of pointers which should have been initialized 
 1639:      before: only the contents of out is modified. The function returns
 1640:      a pointer to pointers identical to out */
 1641:   int i, j, k;
 1642:   for(i=nrl; i<= nrh; i++)
 1643:     for(k=ncolol; k<=ncoloh; k++){
 1644:       out[i][k]=0.;
 1645:       for(j=ncl; j<=nch; j++)
 1646:   	out[i][k] +=in[i][j]*b[j][k];
 1647:     }
 1648:   return out;
 1649: }
 1650: 
 1651: 
 1652: /************* Higher Matrix Product ***************/
 1653: 
 1654: double ***hpxij(double ***po, int nhstepm, double age, int hstepm, double *x, int nlstate, int stepm, double **oldm, double **savm, int ij )
 1655: {
 1656:   /* Computes the transition matrix starting at age 'age' over 
 1657:      'nhstepm*hstepm*stepm' months (i.e. until
 1658:      age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying 
 1659:      nhstepm*hstepm matrices. 
 1660:      Output is stored in matrix po[i][j][h] for h every 'hstepm' step 
 1661:      (typically every 2 years instead of every month which is too big 
 1662:      for the memory).
 1663:      Model is determined by parameters x and covariates have to be 
 1664:      included manually here. 
 1665: 
 1666:      */
 1667: 
 1668:   int i, j, d, h, k;
 1669:   double **out, cov[NCOVMAX+1];
 1670:   double **newm;
 1671: 
 1672:   /* Hstepm could be zero and should return the unit matrix */
 1673:   for (i=1;i<=nlstate+ndeath;i++)
 1674:     for (j=1;j<=nlstate+ndeath;j++){
 1675:       oldm[i][j]=(i==j ? 1.0 : 0.0);
 1676:       po[i][j][0]=(i==j ? 1.0 : 0.0);
 1677:     }
 1678:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
 1679:   for(h=1; h <=nhstepm; h++){
 1680:     for(d=1; d <=hstepm; d++){
 1681:       newm=savm;
 1682:       /* Covariates have to be included here again */
 1683:       cov[1]=1.;
 1684:       cov[2]=age+((h-1)*hstepm + (d-1))*stepm/YEARM;
 1685:       for (k=1; k<=cptcovn;k++) 
 1686: 	cov[2+k]=nbcode[Tvar[k]][codtab[ij][Tvar[k]]];
 1687:       for (k=1; k<=cptcovage;k++)
 1688: 	cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2];
 1689:       for (k=1; k<=cptcovprod;k++) /* Useless because included in cptcovn */
 1690: 	cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]]*nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]];
 1691: 
 1692: 
 1693:       /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/
 1694:       /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/
 1695:       out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, 
 1696: 		   pmij(pmmij,cov,ncovmodel,x,nlstate));
 1697:       savm=oldm;
 1698:       oldm=newm;
 1699:     }
 1700:     for(i=1; i<=nlstate+ndeath; i++)
 1701:       for(j=1;j<=nlstate+ndeath;j++) {
 1702: 	po[i][j][h]=newm[i][j];
 1703: 	/*if(h==nhstepm) printf("po[%d][%d][%d]=%f ",i,j,h,po[i][j][h]);*/
 1704:       }
 1705:     /*printf("h=%d ",h);*/
 1706:   } /* end h */
 1707: /*     printf("\n H=%d \n",h); */
 1708:   return po;
 1709: }
 1710: 
 1711: #ifdef NLOPT
 1712:   double  myfunc(unsigned n, const double *p1, double *grad, void *pd){
 1713:   double fret;
 1714:   double *xt;
 1715:   int j;
 1716:   myfunc_data *d2 = (myfunc_data *) pd;
 1717: /* xt = (p1-1); */
 1718:   xt=vector(1,n); 
 1719:   for (j=1;j<=n;j++)   xt[j]=p1[j-1]; /* xt[1]=p1[0] */
 1720: 
 1721:   fret=(d2->function)(xt); /*  p xt[1]@8 is fine */
 1722:   /* fret=(*func)(xt); /\*  p xt[1]@8 is fine *\/ */
 1723:   printf("Function = %.12lf ",fret);
 1724:   for (j=1;j<=n;j++) printf(" %d %.8lf", j, xt[j]); 
 1725:   printf("\n");
 1726:  free_vector(xt,1,n);
 1727:   return fret;
 1728: }
 1729: #endif
 1730: 
 1731: /*************** log-likelihood *************/
 1732: double func( double *x)
 1733: {
 1734:   int i, ii, j, k, mi, d, kk;
 1735:   double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1];
 1736:   double **out;
 1737:   double sw; /* Sum of weights */
 1738:   double lli; /* Individual log likelihood */
 1739:   int s1, s2;
 1740:   double bbh, survp;
 1741:   long ipmx;
 1742:   /*extern weight */
 1743:   /* We are differentiating ll according to initial status */
 1744:   /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
 1745:   /*for(i=1;i<imx;i++) 
 1746:     printf(" %d\n",s[4][i]);
 1747:   */
 1748: 
 1749:   ++countcallfunc;
 1750: 
 1751:   cov[1]=1.;
 1752: 
 1753:   for(k=1; k<=nlstate; k++) ll[k]=0.;
 1754: 
 1755:   if(mle==1){
 1756:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
 1757:       /* Computes the values of the ncovmodel covariates of the model
 1758: 	 depending if the covariates are fixed or variying (age dependent) and stores them in cov[]
 1759: 	 Then computes with function pmij which return a matrix p[i][j] giving the elementary probability
 1760: 	 to be observed in j being in i according to the model.
 1761:        */
 1762:       for (k=1; k<=cptcovn;k++){ /* Simple and product covariates without age* products */
 1763: 	cov[2+k]=covar[Tvar[k]][i];
 1764:       }
 1765:       /* In model V2+V1*V4+age*V3+V3*V2 Tvar[1] is V2, Tvar[2=V1*V4] 
 1766: 	 is 6, Tvar[3=age*V3] should not be computed because of age Tvar[4=V3*V2] 
 1767: 	 has been calculated etc */
 1768:       for(mi=1; mi<= wav[i]-1; mi++){
 1769: 	for (ii=1;ii<=nlstate+ndeath;ii++)
 1770: 	  for (j=1;j<=nlstate+ndeath;j++){
 1771: 	    oldm[ii][j]=(ii==j ? 1.0 : 0.0);
 1772: 	    savm[ii][j]=(ii==j ? 1.0 : 0.0);
 1773: 	  }
 1774: 	for(d=0; d<dh[mi][i]; d++){
 1775: 	  newm=savm;
 1776: 	  cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;
 1777: 	  for (kk=1; kk<=cptcovage;kk++) {
 1778: 	    cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2]; /* Tage[kk] gives the data-covariate associated with age */
 1779: 	  }
 1780: 	  out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
 1781: 		       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
 1782: 	  savm=oldm;
 1783: 	  oldm=newm;
 1784: 	} /* end mult */
 1785:       
 1786: 	/*lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);*/ /* Original formula */
 1787: 	/* But now since version 0.9 we anticipate for bias at large stepm.
 1788: 	 * If stepm is larger than one month (smallest stepm) and if the exact delay 
 1789: 	 * (in months) between two waves is not a multiple of stepm, we rounded to 
 1790: 	 * the nearest (and in case of equal distance, to the lowest) interval but now
 1791: 	 * we keep into memory the bias bh[mi][i] and also the previous matrix product
 1792: 	 * (i.e to dh[mi][i]-1) saved in 'savm'. Then we inter(extra)polate the
 1793: 	 * probability in order to take into account the bias as a fraction of the way
 1794: 	 * from savm to out if bh is negative or even beyond if bh is positive. bh varies
 1795: 	 * -stepm/2 to stepm/2 .
 1796: 	 * For stepm=1 the results are the same as for previous versions of Imach.
 1797: 	 * For stepm > 1 the results are less biased than in previous versions. 
 1798: 	 */
 1799: 	s1=s[mw[mi][i]][i];
 1800: 	s2=s[mw[mi+1][i]][i];
 1801: 	bbh=(double)bh[mi][i]/(double)stepm; 
 1802: 	/* bias bh is positive if real duration
 1803: 	 * is higher than the multiple of stepm and negative otherwise.
 1804: 	 */
 1805: 	/* lli= (savm[s1][s2]>1.e-8 ?(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]):log((1.+bbh)*out[s1][s2]));*/
 1806: 	if( s2 > nlstate){ 
 1807: 	  /* i.e. if s2 is a death state and if the date of death is known 
 1808: 	     then the contribution to the likelihood is the probability to 
 1809: 	     die between last step unit time and current  step unit time, 
 1810: 	     which is also equal to probability to die before dh 
 1811: 	     minus probability to die before dh-stepm . 
 1812: 	     In version up to 0.92 likelihood was computed
 1813: 	as if date of death was unknown. Death was treated as any other
 1814: 	health state: the date of the interview describes the actual state
 1815: 	and not the date of a change in health state. The former idea was
 1816: 	to consider that at each interview the state was recorded
 1817: 	(healthy, disable or death) and IMaCh was corrected; but when we
 1818: 	introduced the exact date of death then we should have modified
 1819: 	the contribution of an exact death to the likelihood. This new
 1820: 	contribution is smaller and very dependent of the step unit
 1821: 	stepm. It is no more the probability to die between last interview
 1822: 	and month of death but the probability to survive from last
 1823: 	interview up to one month before death multiplied by the
 1824: 	probability to die within a month. Thanks to Chris
 1825: 	Jackson for correcting this bug.  Former versions increased
 1826: 	mortality artificially. The bad side is that we add another loop
 1827: 	which slows down the processing. The difference can be up to 10%
 1828: 	lower mortality.
 1829: 	  */
 1830: 	  lli=log(out[s1][s2] - savm[s1][s2]);
 1831: 
 1832: 
 1833: 	} else if  (s2==-2) {
 1834: 	  for (j=1,survp=0. ; j<=nlstate; j++) 
 1835: 	    survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
 1836: 	  /*survp += out[s1][j]; */
 1837: 	  lli= log(survp);
 1838: 	}
 1839: 	
 1840:  	else if  (s2==-4) { 
 1841: 	  for (j=3,survp=0. ; j<=nlstate; j++)  
 1842: 	    survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
 1843:  	  lli= log(survp); 
 1844:  	} 
 1845: 
 1846:  	else if  (s2==-5) { 
 1847:  	  for (j=1,survp=0. ; j<=2; j++)  
 1848: 	    survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
 1849:  	  lli= log(survp); 
 1850:  	} 
 1851: 	
 1852: 	else{
 1853: 	  lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
 1854: 	  /*  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 */
 1855: 	} 
 1856: 	/*lli=(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]);*/
 1857: 	/*if(lli ==000.0)*/
 1858: 	/*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); */
 1859:   	ipmx +=1;
 1860: 	sw += weight[i];
 1861: 	ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
 1862:       } /* end of wave */
 1863:     } /* end of individual */
 1864:   }  else if(mle==2){
 1865:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
 1866:       for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];
 1867:       for(mi=1; mi<= wav[i]-1; mi++){
 1868: 	for (ii=1;ii<=nlstate+ndeath;ii++)
 1869: 	  for (j=1;j<=nlstate+ndeath;j++){
 1870: 	    oldm[ii][j]=(ii==j ? 1.0 : 0.0);
 1871: 	    savm[ii][j]=(ii==j ? 1.0 : 0.0);
 1872: 	  }
 1873: 	for(d=0; d<=dh[mi][i]; d++){
 1874: 	  newm=savm;
 1875: 	  cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;
 1876: 	  for (kk=1; kk<=cptcovage;kk++) {
 1877: 	    cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
 1878: 	  }
 1879: 	  out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
 1880: 		       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
 1881: 	  savm=oldm;
 1882: 	  oldm=newm;
 1883: 	} /* end mult */
 1884:       
 1885: 	s1=s[mw[mi][i]][i];
 1886: 	s2=s[mw[mi+1][i]][i];
 1887: 	bbh=(double)bh[mi][i]/(double)stepm; 
 1888: 	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 */
 1889: 	ipmx +=1;
 1890: 	sw += weight[i];
 1891: 	ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
 1892:       } /* end of wave */
 1893:     } /* end of individual */
 1894:   }  else if(mle==3){  /* exponential inter-extrapolation */
 1895:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
 1896:       for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];
 1897:       for(mi=1; mi<= wav[i]-1; mi++){
 1898: 	for (ii=1;ii<=nlstate+ndeath;ii++)
 1899: 	  for (j=1;j<=nlstate+ndeath;j++){
 1900: 	    oldm[ii][j]=(ii==j ? 1.0 : 0.0);
 1901: 	    savm[ii][j]=(ii==j ? 1.0 : 0.0);
 1902: 	  }
 1903: 	for(d=0; d<dh[mi][i]; d++){
 1904: 	  newm=savm;
 1905: 	  cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;
 1906: 	  for (kk=1; kk<=cptcovage;kk++) {
 1907: 	    cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
 1908: 	  }
 1909: 	  out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
 1910: 		       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
 1911: 	  savm=oldm;
 1912: 	  oldm=newm;
 1913: 	} /* end mult */
 1914:       
 1915: 	s1=s[mw[mi][i]][i];
 1916: 	s2=s[mw[mi+1][i]][i];
 1917: 	bbh=(double)bh[mi][i]/(double)stepm; 
 1918: 	lli= (savm[s1][s2]>1.e-8 ?(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]):log((1.+bbh)*out[s1][s2])); /* exponential inter-extrapolation */
 1919: 	ipmx +=1;
 1920: 	sw += weight[i];
 1921: 	ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
 1922:       } /* end of wave */
 1923:     } /* end of individual */
 1924:   }else if (mle==4){  /* ml=4 no inter-extrapolation */
 1925:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
 1926:       for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];
 1927:       for(mi=1; mi<= wav[i]-1; mi++){
 1928: 	for (ii=1;ii<=nlstate+ndeath;ii++)
 1929: 	  for (j=1;j<=nlstate+ndeath;j++){
 1930: 	    oldm[ii][j]=(ii==j ? 1.0 : 0.0);
 1931: 	    savm[ii][j]=(ii==j ? 1.0 : 0.0);
 1932: 	  }
 1933: 	for(d=0; d<dh[mi][i]; d++){
 1934: 	  newm=savm;
 1935: 	  cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;
 1936: 	  for (kk=1; kk<=cptcovage;kk++) {
 1937: 	    cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
 1938: 	  }
 1939: 	
 1940: 	  out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
 1941: 		       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
 1942: 	  savm=oldm;
 1943: 	  oldm=newm;
 1944: 	} /* end mult */
 1945:       
 1946: 	s1=s[mw[mi][i]][i];
 1947: 	s2=s[mw[mi+1][i]][i];
 1948: 	if( s2 > nlstate){ 
 1949: 	  lli=log(out[s1][s2] - savm[s1][s2]);
 1950: 	}else{
 1951: 	  lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
 1952: 	}
 1953: 	ipmx +=1;
 1954: 	sw += weight[i];
 1955: 	ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
 1956: /* 	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]); */
 1957:       } /* end of wave */
 1958:     } /* end of individual */
 1959:   }else{  /* ml=5 no inter-extrapolation no jackson =0.8a */
 1960:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
 1961:       for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];
 1962:       for(mi=1; mi<= wav[i]-1; mi++){
 1963: 	for (ii=1;ii<=nlstate+ndeath;ii++)
 1964: 	  for (j=1;j<=nlstate+ndeath;j++){
 1965: 	    oldm[ii][j]=(ii==j ? 1.0 : 0.0);
 1966: 	    savm[ii][j]=(ii==j ? 1.0 : 0.0);
 1967: 	  }
 1968: 	for(d=0; d<dh[mi][i]; d++){
 1969: 	  newm=savm;
 1970: 	  cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;
 1971: 	  for (kk=1; kk<=cptcovage;kk++) {
 1972: 	    cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
 1973: 	  }
 1974: 	
 1975: 	  out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
 1976: 		       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
 1977: 	  savm=oldm;
 1978: 	  oldm=newm;
 1979: 	} /* end mult */
 1980:       
 1981: 	s1=s[mw[mi][i]][i];
 1982: 	s2=s[mw[mi+1][i]][i];
 1983: 	lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
 1984: 	ipmx +=1;
 1985: 	sw += weight[i];
 1986: 	ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
 1987: 	/*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]);*/
 1988:       } /* end of wave */
 1989:     } /* end of individual */
 1990:   } /* End of if */
 1991:   for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
 1992:   /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
 1993:   l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
 1994:   return -l;
 1995: }
 1996: 
 1997: /*************** log-likelihood *************/
 1998: double funcone( double *x)
 1999: {
 2000:   /* Same as likeli but slower because of a lot of printf and if */
 2001:   int i, ii, j, k, mi, d, kk;
 2002:   double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1];
 2003:   double **out;
 2004:   double lli; /* Individual log likelihood */
 2005:   double llt;
 2006:   int s1, s2;
 2007:   double bbh, survp;
 2008:   /*extern weight */
 2009:   /* We are differentiating ll according to initial status */
 2010:   /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
 2011:   /*for(i=1;i<imx;i++) 
 2012:     printf(" %d\n",s[4][i]);
 2013:   */
 2014:   cov[1]=1.;
 2015: 
 2016:   for(k=1; k<=nlstate; k++) ll[k]=0.;
 2017: 
 2018:   for (i=1,ipmx=0, sw=0.; i<=imx; i++){
 2019:     for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];
 2020:     for(mi=1; mi<= wav[i]-1; mi++){
 2021:       for (ii=1;ii<=nlstate+ndeath;ii++)
 2022: 	for (j=1;j<=nlstate+ndeath;j++){
 2023: 	  oldm[ii][j]=(ii==j ? 1.0 : 0.0);
 2024: 	  savm[ii][j]=(ii==j ? 1.0 : 0.0);
 2025: 	}
 2026:       for(d=0; d<dh[mi][i]; d++){
 2027: 	newm=savm;
 2028: 	cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;
 2029: 	for (kk=1; kk<=cptcovage;kk++) {
 2030: 	  cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
 2031: 	}
 2032: 	/* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
 2033: 	out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
 2034: 		     1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
 2035: 	/* out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath, */
 2036: 	/* 	     1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate)); */
 2037: 	savm=oldm;
 2038: 	oldm=newm;
 2039:       } /* end mult */
 2040:       
 2041:       s1=s[mw[mi][i]][i];
 2042:       s2=s[mw[mi+1][i]][i];
 2043:       bbh=(double)bh[mi][i]/(double)stepm; 
 2044:       /* bias is positive if real duration
 2045:        * is higher than the multiple of stepm and negative otherwise.
 2046:        */
 2047:       if( s2 > nlstate && (mle <5) ){  /* Jackson */
 2048: 	lli=log(out[s1][s2] - savm[s1][s2]);
 2049:       } else if  (s2==-2) {
 2050: 	for (j=1,survp=0. ; j<=nlstate; j++) 
 2051: 	  survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
 2052: 	lli= log(survp);
 2053:       }else if (mle==1){
 2054: 	lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
 2055:       } else if(mle==2){
 2056: 	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 */
 2057:       } else if(mle==3){  /* exponential inter-extrapolation */
 2058: 	lli= (savm[s1][s2]>(double)1.e-8 ?(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]):log((1.+bbh)*out[s1][s2])); /* exponential inter-extrapolation */
 2059:       } else if (mle==4){  /* mle=4 no inter-extrapolation */
 2060: 	lli=log(out[s1][s2]); /* Original formula */
 2061:       } else{  /* mle=0 back to 1 */
 2062: 	lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
 2063: 	/*lli=log(out[s1][s2]); */ /* Original formula */
 2064:       } /* End of if */
 2065:       ipmx +=1;
 2066:       sw += weight[i];
 2067:       ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
 2068:       /*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]); */
 2069:       if(globpr){
 2070: 	fprintf(ficresilk,"%9ld %6d %2d %2d %1d %1d %3d %11.6f %8.4f\
 2071:  %11.6f %11.6f %11.6f ", \
 2072: 		num[i],i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],
 2073: 		2*weight[i]*lli,out[s1][s2],savm[s1][s2]);
 2074: 	for(k=1,llt=0.,l=0.; k<=nlstate; k++){
 2075: 	  llt +=ll[k]*gipmx/gsw;
 2076: 	  fprintf(ficresilk," %10.6f",-ll[k]*gipmx/gsw);
 2077: 	}
 2078: 	fprintf(ficresilk," %10.6f\n", -llt);
 2079:       }
 2080:     } /* end of wave */
 2081:   } /* end of individual */
 2082:   for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
 2083:   /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
 2084:   l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
 2085:   if(globpr==0){ /* First time we count the contributions and weights */
 2086:     gipmx=ipmx;
 2087:     gsw=sw;
 2088:   }
 2089:   return -l;
 2090: }
 2091: 
 2092: 
 2093: /*************** function likelione ***********/
 2094: void likelione(FILE *ficres,double p[], int npar, int nlstate, int *globpri, long *ipmx, double *sw, double *fretone, double (*funcone)(double []))
 2095: {
 2096:   /* This routine should help understanding what is done with 
 2097:      the selection of individuals/waves and
 2098:      to check the exact contribution to the likelihood.
 2099:      Plotting could be done.
 2100:    */
 2101:   int k;
 2102: 
 2103:   if(*globpri !=0){ /* Just counts and sums, no printings */
 2104:     strcpy(fileresilk,"ilk"); 
 2105:     strcat(fileresilk,fileres);
 2106:     if((ficresilk=fopen(fileresilk,"w"))==NULL) {
 2107:       printf("Problem with resultfile: %s\n", fileresilk);
 2108:       fprintf(ficlog,"Problem with resultfile: %s\n", fileresilk);
 2109:     }
 2110:     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");
 2111:     fprintf(ficresilk, "#num_i i s1 s2 mi mw dh likeli weight 2wlli out sav ");
 2112:     /* 	i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],2*weight[i]*lli,out[s1][s2],savm[s1][s2]); */
 2113:     for(k=1; k<=nlstate; k++) 
 2114:       fprintf(ficresilk," -2*gipw/gsw*weight*ll[%d]++",k);
 2115:     fprintf(ficresilk," -2*gipw/gsw*weight*ll(total)\n");
 2116:   }
 2117: 
 2118:   *fretone=(*funcone)(p);
 2119:   if(*globpri !=0){
 2120:     fclose(ficresilk);
 2121:     fprintf(fichtm,"\n<br>File of contributions to the likelihood: <a href=\"%s\">%s</a><br>\n",subdirf(fileresilk),subdirf(fileresilk));
 2122:     fflush(fichtm); 
 2123:   } 
 2124:   return;
 2125: }
 2126: 
 2127: 
 2128: /*********** Maximum Likelihood Estimation ***************/
 2129: 
 2130: void mlikeli(FILE *ficres,double p[], int npar, int ncovmodel, int nlstate, double ftol, double (*func)(double []))
 2131: {
 2132:   int i,j, iter;
 2133:   double **xi;
 2134:   double fret;
 2135:   double fretone; /* Only one call to likelihood */
 2136:   /*  char filerespow[FILENAMELENGTH];*/
 2137: 
 2138: #ifdef NLOPT
 2139:   int creturn;
 2140:   nlopt_opt opt;
 2141:   /* double lb[9] = { -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL }; /\* lower bounds *\/ */
 2142:   double *lb;
 2143:   double minf; /* the minimum objective value, upon return */
 2144:   double * p1; /* Shifted parameters from 0 instead of 1 */
 2145:   myfunc_data dinst, *d = &dinst;
 2146: #endif
 2147: 
 2148: 
 2149:   xi=matrix(1,npar,1,npar);
 2150:   for (i=1;i<=npar;i++)
 2151:     for (j=1;j<=npar;j++)
 2152:       xi[i][j]=(i==j ? 1.0 : 0.0);
 2153:   printf("Powell\n");  fprintf(ficlog,"Powell\n");
 2154:   strcpy(filerespow,"pow"); 
 2155:   strcat(filerespow,fileres);
 2156:   if((ficrespow=fopen(filerespow,"w"))==NULL) {
 2157:     printf("Problem with resultfile: %s\n", filerespow);
 2158:     fprintf(ficlog,"Problem with resultfile: %s\n", filerespow);
 2159:   }
 2160:   fprintf(ficrespow,"# Powell\n# iter -2*LL");
 2161:   for (i=1;i<=nlstate;i++)
 2162:     for(j=1;j<=nlstate+ndeath;j++)
 2163:       if(j!=i)fprintf(ficrespow," p%1d%1d",i,j);
 2164:   fprintf(ficrespow,"\n");
 2165: #ifdef POWELL
 2166:   powell(p,xi,npar,ftol,&iter,&fret,func);
 2167: #endif
 2168: 
 2169: #ifdef NLOPT
 2170: #ifdef NEWUOA
 2171:   opt = nlopt_create(NLOPT_LN_NEWUOA,npar);
 2172: #else
 2173:   opt = nlopt_create(NLOPT_LN_BOBYQA,npar);
 2174: #endif
 2175:   lb=vector(0,npar-1);
 2176:   for (i=0;i<npar;i++) lb[i]= -HUGE_VAL;
 2177:   nlopt_set_lower_bounds(opt, lb);
 2178:   nlopt_set_initial_step1(opt, 0.1);
 2179:   
 2180:   p1= (p+1); /*  p *(p+1)@8 and p *(p1)@8 are equal p1[0]=p[1] */
 2181:   d->function = func;
 2182:   printf(" Func %.12lf \n",myfunc(npar,p1,NULL,d));
 2183:   nlopt_set_min_objective(opt, myfunc, d);
 2184:   nlopt_set_xtol_rel(opt, ftol);
 2185:   if ((creturn=nlopt_optimize(opt, p1, &minf)) < 0) {
 2186:     printf("nlopt failed! %d\n",creturn); 
 2187:   }
 2188:   else {
 2189:     printf("found minimum after %d evaluations (NLOPT=%d)\n", countcallfunc ,NLOPT);
 2190:     printf("found minimum at f(%g,%g) = %0.10g\n", p[0], p[1], minf);
 2191:     iter=1; /* not equal */
 2192:   }
 2193:   nlopt_destroy(opt);
 2194: #endif
 2195:   free_matrix(xi,1,npar,1,npar);
 2196:   fclose(ficrespow);
 2197:   printf("\n#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
 2198:   fprintf(ficlog,"\n#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
 2199:   fprintf(ficres,"\n#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
 2200: 
 2201: }
 2202: 
 2203: /**** Computes Hessian and covariance matrix ***/
 2204: void hesscov(double **matcov, double p[], int npar, double delti[], double ftolhess, double (*func)(double []))
 2205: {
 2206:   double  **a,**y,*x,pd;
 2207:   double **hess;
 2208:   int i, j,jk;
 2209:   int *indx;
 2210: 
 2211:   double hessii(double p[], double delta, int theta, double delti[],double (*func)(double []),int npar);
 2212:   double hessij(double p[], double delti[], int i, int j,double (*func)(double []),int npar);
 2213:   void lubksb(double **a, int npar, int *indx, double b[]) ;
 2214:   void ludcmp(double **a, int npar, int *indx, double *d) ;
 2215:   double gompertz(double p[]);
 2216:   hess=matrix(1,npar,1,npar);
 2217: 
 2218:   printf("\nCalculation of the hessian matrix. Wait...\n");
 2219:   fprintf(ficlog,"\nCalculation of the hessian matrix. Wait...\n");
 2220:   for (i=1;i<=npar;i++){
 2221:     printf("%d",i);fflush(stdout);
 2222:     fprintf(ficlog,"%d",i);fflush(ficlog);
 2223:    
 2224:      hess[i][i]=hessii(p,ftolhess,i,delti,func,npar);
 2225:     
 2226:     /*  printf(" %f ",p[i]);
 2227: 	printf(" %lf %lf %lf",hess[i][i],ftolhess,delti[i]);*/
 2228:   }
 2229:   
 2230:   for (i=1;i<=npar;i++) {
 2231:     for (j=1;j<=npar;j++)  {
 2232:       if (j>i) { 
 2233: 	printf(".%d%d",i,j);fflush(stdout);
 2234: 	fprintf(ficlog,".%d%d",i,j);fflush(ficlog);
 2235: 	hess[i][j]=hessij(p,delti,i,j,func,npar);
 2236: 	
 2237: 	hess[j][i]=hess[i][j];    
 2238: 	/*printf(" %lf ",hess[i][j]);*/
 2239:       }
 2240:     }
 2241:   }
 2242:   printf("\n");
 2243:   fprintf(ficlog,"\n");
 2244: 
 2245:   printf("\nInverting the hessian to get the covariance matrix. Wait...\n");
 2246:   fprintf(ficlog,"\nInverting the hessian to get the covariance matrix. Wait...\n");
 2247:   
 2248:   a=matrix(1,npar,1,npar);
 2249:   y=matrix(1,npar,1,npar);
 2250:   x=vector(1,npar);
 2251:   indx=ivector(1,npar);
 2252:   for (i=1;i<=npar;i++)
 2253:     for (j=1;j<=npar;j++) a[i][j]=hess[i][j];
 2254:   ludcmp(a,npar,indx,&pd);
 2255: 
 2256:   for (j=1;j<=npar;j++) {
 2257:     for (i=1;i<=npar;i++) x[i]=0;
 2258:     x[j]=1;
 2259:     lubksb(a,npar,indx,x);
 2260:     for (i=1;i<=npar;i++){ 
 2261:       matcov[i][j]=x[i];
 2262:     }
 2263:   }
 2264: 
 2265:   printf("\n#Hessian matrix#\n");
 2266:   fprintf(ficlog,"\n#Hessian matrix#\n");
 2267:   for (i=1;i<=npar;i++) { 
 2268:     for (j=1;j<=npar;j++) { 
 2269:       printf("%.3e ",hess[i][j]);
 2270:       fprintf(ficlog,"%.3e ",hess[i][j]);
 2271:     }
 2272:     printf("\n");
 2273:     fprintf(ficlog,"\n");
 2274:   }
 2275: 
 2276:   /* Recompute Inverse */
 2277:   for (i=1;i<=npar;i++)
 2278:     for (j=1;j<=npar;j++) a[i][j]=matcov[i][j];
 2279:   ludcmp(a,npar,indx,&pd);
 2280: 
 2281:   /*  printf("\n#Hessian matrix recomputed#\n");
 2282: 
 2283:   for (j=1;j<=npar;j++) {
 2284:     for (i=1;i<=npar;i++) x[i]=0;
 2285:     x[j]=1;
 2286:     lubksb(a,npar,indx,x);
 2287:     for (i=1;i<=npar;i++){ 
 2288:       y[i][j]=x[i];
 2289:       printf("%.3e ",y[i][j]);
 2290:       fprintf(ficlog,"%.3e ",y[i][j]);
 2291:     }
 2292:     printf("\n");
 2293:     fprintf(ficlog,"\n");
 2294:   }
 2295:   */
 2296: 
 2297:   free_matrix(a,1,npar,1,npar);
 2298:   free_matrix(y,1,npar,1,npar);
 2299:   free_vector(x,1,npar);
 2300:   free_ivector(indx,1,npar);
 2301:   free_matrix(hess,1,npar,1,npar);
 2302: 
 2303: 
 2304: }
 2305: 
 2306: /*************** hessian matrix ****************/
 2307: double hessii(double x[], double delta, int theta, double delti[], double (*func)(double []), int npar)
 2308: {
 2309:   int i;
 2310:   int l=1, lmax=20;
 2311:   double k1,k2;
 2312:   double p2[MAXPARM+1]; /* identical to x */
 2313:   double res;
 2314:   double delt=0.0001, delts, nkhi=10.,nkhif=1., khi=1.e-4;
 2315:   double fx;
 2316:   int k=0,kmax=10;
 2317:   double l1;
 2318: 
 2319:   fx=func(x);
 2320:   for (i=1;i<=npar;i++) p2[i]=x[i];
 2321:   for(l=0 ; l <=lmax; l++){  /* Enlarging the zone around the Maximum */
 2322:     l1=pow(10,l);
 2323:     delts=delt;
 2324:     for(k=1 ; k <kmax; k=k+1){
 2325:       delt = delta*(l1*k);
 2326:       p2[theta]=x[theta] +delt;
 2327:       k1=func(p2)-fx;   /* Might be negative if too close to the theoretical maximum */
 2328:       p2[theta]=x[theta]-delt;
 2329:       k2=func(p2)-fx;
 2330:       /*res= (k1-2.0*fx+k2)/delt/delt; */
 2331:       res= (k1+k2)/delt/delt/2.; /* Divided by because L and not 2*L */
 2332:       
 2333: #ifdef DEBUGHESS
 2334:       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);
 2335:       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);
 2336: #endif
 2337:       /*if(fabs(k1-2.0*fx+k2) <1.e-13){ */
 2338:       if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)){
 2339: 	k=kmax;
 2340:       }
 2341:       else if((k1 >khi/nkhif) || (k2 >khi/nkhif)){ /* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. */
 2342: 	k=kmax; l=lmax*10.;
 2343:       }
 2344:       else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){ 
 2345: 	delts=delt;
 2346:       }
 2347:     }
 2348:   }
 2349:   delti[theta]=delts;
 2350:   return res; 
 2351:   
 2352: }
 2353: 
 2354: double hessij( double x[], double delti[], int thetai,int thetaj,double (*func)(double []),int npar)
 2355: {
 2356:   int i;
 2357:   int l=1, l1, lmax=20;
 2358:   double k1,k2,k3,k4,res,fx;
 2359:   double p2[MAXPARM+1];
 2360:   int k;
 2361: 
 2362:   fx=func(x);
 2363:   for (k=1; k<=2; k++) {
 2364:     for (i=1;i<=npar;i++) p2[i]=x[i];
 2365:     p2[thetai]=x[thetai]+delti[thetai]/k;
 2366:     p2[thetaj]=x[thetaj]+delti[thetaj]/k;
 2367:     k1=func(p2)-fx;
 2368:   
 2369:     p2[thetai]=x[thetai]+delti[thetai]/k;
 2370:     p2[thetaj]=x[thetaj]-delti[thetaj]/k;
 2371:     k2=func(p2)-fx;
 2372:   
 2373:     p2[thetai]=x[thetai]-delti[thetai]/k;
 2374:     p2[thetaj]=x[thetaj]+delti[thetaj]/k;
 2375:     k3=func(p2)-fx;
 2376:   
 2377:     p2[thetai]=x[thetai]-delti[thetai]/k;
 2378:     p2[thetaj]=x[thetaj]-delti[thetaj]/k;
 2379:     k4=func(p2)-fx;
 2380:     res=(k1-k2-k3+k4)/4.0/delti[thetai]*k/delti[thetaj]*k/2.; /* Because of L not 2*L */
 2381: #ifdef DEBUG
 2382:     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);
 2383:     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);
 2384: #endif
 2385:   }
 2386:   return res;
 2387: }
 2388: 
 2389: /************** Inverse of matrix **************/
 2390: void ludcmp(double **a, int n, int *indx, double *d) 
 2391: { 
 2392:   int i,imax,j,k; 
 2393:   double big,dum,sum,temp; 
 2394:   double *vv; 
 2395:  
 2396:   vv=vector(1,n); 
 2397:   *d=1.0; 
 2398:   for (i=1;i<=n;i++) { 
 2399:     big=0.0; 
 2400:     for (j=1;j<=n;j++) 
 2401:       if ((temp=fabs(a[i][j])) > big) big=temp; 
 2402:     if (big == 0.0) nrerror("Singular matrix in routine ludcmp"); 
 2403:     vv[i]=1.0/big; 
 2404:   } 
 2405:   for (j=1;j<=n;j++) { 
 2406:     for (i=1;i<j;i++) { 
 2407:       sum=a[i][j]; 
 2408:       for (k=1;k<i;k++) sum -= a[i][k]*a[k][j]; 
 2409:       a[i][j]=sum; 
 2410:     } 
 2411:     big=0.0; 
 2412:     for (i=j;i<=n;i++) { 
 2413:       sum=a[i][j]; 
 2414:       for (k=1;k<j;k++) 
 2415: 	sum -= a[i][k]*a[k][j]; 
 2416:       a[i][j]=sum; 
 2417:       if ( (dum=vv[i]*fabs(sum)) >= big) { 
 2418: 	big=dum; 
 2419: 	imax=i; 
 2420:       } 
 2421:     } 
 2422:     if (j != imax) { 
 2423:       for (k=1;k<=n;k++) { 
 2424: 	dum=a[imax][k]; 
 2425: 	a[imax][k]=a[j][k]; 
 2426: 	a[j][k]=dum; 
 2427:       } 
 2428:       *d = -(*d); 
 2429:       vv[imax]=vv[j]; 
 2430:     } 
 2431:     indx[j]=imax; 
 2432:     if (a[j][j] == 0.0) a[j][j]=TINY; 
 2433:     if (j != n) { 
 2434:       dum=1.0/(a[j][j]); 
 2435:       for (i=j+1;i<=n;i++) a[i][j] *= dum; 
 2436:     } 
 2437:   } 
 2438:   free_vector(vv,1,n);  /* Doesn't work */
 2439: ;
 2440: } 
 2441: 
 2442: void lubksb(double **a, int n, int *indx, double b[]) 
 2443: { 
 2444:   int i,ii=0,ip,j; 
 2445:   double sum; 
 2446:  
 2447:   for (i=1;i<=n;i++) { 
 2448:     ip=indx[i]; 
 2449:     sum=b[ip]; 
 2450:     b[ip]=b[i]; 
 2451:     if (ii) 
 2452:       for (j=ii;j<=i-1;j++) sum -= a[i][j]*b[j]; 
 2453:     else if (sum) ii=i; 
 2454:     b[i]=sum; 
 2455:   } 
 2456:   for (i=n;i>=1;i--) { 
 2457:     sum=b[i]; 
 2458:     for (j=i+1;j<=n;j++) sum -= a[i][j]*b[j]; 
 2459:     b[i]=sum/a[i][i]; 
 2460:   } 
 2461: } 
 2462: 
 2463: void pstamp(FILE *fichier)
 2464: {
 2465:   fprintf(fichier,"# %s.%s\n#%s\n#%s\n# %s", optionfilefiname,optionfilext,version,fullversion,strstart);
 2466: }
 2467: 
 2468: /************ Frequencies ********************/
 2469: 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[])
 2470: {  /* Some frequencies */
 2471:   
 2472:   int i, m, jk, k1,i1, j1, bool, z1,j;
 2473:   int first;
 2474:   double ***freq; /* Frequencies */
 2475:   double *pp, **prop;
 2476:   double pos,posprop, k2, dateintsum=0,k2cpt=0;
 2477:   char fileresp[FILENAMELENGTH];
 2478:   
 2479:   pp=vector(1,nlstate);
 2480:   prop=matrix(1,nlstate,iagemin,iagemax+3);
 2481:   strcpy(fileresp,"p");
 2482:   strcat(fileresp,fileres);
 2483:   if((ficresp=fopen(fileresp,"w"))==NULL) {
 2484:     printf("Problem with prevalence resultfile: %s\n", fileresp);
 2485:     fprintf(ficlog,"Problem with prevalence resultfile: %s\n", fileresp);
 2486:     exit(0);
 2487:   }
 2488:   freq= ma3x(-5,nlstate+ndeath,-5,nlstate+ndeath,iagemin,iagemax+3);
 2489:   j1=0;
 2490:   
 2491:   j=cptcoveff;
 2492:   if (cptcovn<1) {j=1;ncodemax[1]=1;}
 2493: 
 2494:   first=1;
 2495: 
 2496:   /* for(k1=1; k1<=j ; k1++){   /* Loop on covariates */
 2497:   /*  for(i1=1; i1<=ncodemax[k1];i1++){ /* Now it is 2 */
 2498:   /*    j1++;
 2499: */
 2500:   for (j1 = 1; j1 <= (int) pow(2,cptcoveff); j1++){
 2501:       /*printf("cptcoveff=%d Tvaraff=%d", cptcoveff,Tvaraff[1]);
 2502: 	scanf("%d", i);*/
 2503:       for (i=-5; i<=nlstate+ndeath; i++)  
 2504: 	for (jk=-5; jk<=nlstate+ndeath; jk++)  
 2505: 	  for(m=iagemin; m <= iagemax+3; m++)
 2506: 	    freq[i][jk][m]=0;
 2507:       
 2508:       for (i=1; i<=nlstate; i++)  
 2509: 	for(m=iagemin; m <= iagemax+3; m++)
 2510: 	  prop[i][m]=0;
 2511:       
 2512:       dateintsum=0;
 2513:       k2cpt=0;
 2514:       for (i=1; i<=imx; i++) {
 2515: 	bool=1;
 2516: 	if  (cptcovn>0) { /* Filter is here: Must be looked at for model=V1+V2+V3+V4 */
 2517: 	  for (z1=1; z1<=cptcoveff; z1++)       
 2518:             if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtab[j1][z1]]){
 2519:                 /* Tests if the value of each of the covariates of i is equal to filter j1 */
 2520:               bool=0;
 2521:               /* 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", 
 2522:                 bool,i,z1, z1, Tvaraff[z1],i,covar[Tvaraff[z1]][i],j1,z1,codtab[j1][z1],
 2523:                 j1,z1,nbcode[Tvaraff[z1]][codtab[j1][z1]],j1);*/
 2524:               /* For j1=7 in V1+V2+V3+V4 = 0 1 1 0 and codtab[7][3]=1 and nbcde[3][?]=1*/
 2525:             } 
 2526: 	}
 2527:  
 2528: 	if (bool==1){
 2529: 	  for(m=firstpass; m<=lastpass; m++){
 2530: 	    k2=anint[m][i]+(mint[m][i]/12.);
 2531: 	    /*if ((k2>=dateprev1) && (k2<=dateprev2)) {*/
 2532: 	      if(agev[m][i]==0) agev[m][i]=iagemax+1;
 2533: 	      if(agev[m][i]==1) agev[m][i]=iagemax+2;
 2534: 	      if (s[m][i]>0 && s[m][i]<=nlstate) prop[s[m][i]][(int)agev[m][i]] += weight[i];
 2535: 	      if (m<lastpass) {
 2536: 		freq[s[m][i]][s[m+1][i]][(int)agev[m][i]] += weight[i];
 2537: 		freq[s[m][i]][s[m+1][i]][iagemax+3] += weight[i];
 2538: 	      }
 2539: 	      
 2540: 	      if ((agev[m][i]>1) && (agev[m][i]< (iagemax+3))) {
 2541: 		dateintsum=dateintsum+k2;
 2542: 		k2cpt++;
 2543: 	      }
 2544: 	      /*}*/
 2545: 	  }
 2546: 	}
 2547:       } /* end i */
 2548:        
 2549:       /*      fprintf(ficresp, "#Count between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);*/
 2550:       pstamp(ficresp);
 2551:       if  (cptcovn>0) {
 2552: 	fprintf(ficresp, "\n#********** Variable "); 
 2553: 	for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresp, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
 2554: 	fprintf(ficresp, "**********\n#");
 2555: 	fprintf(ficlog, "\n#********** Variable "); 
 2556: 	for (z1=1; z1<=cptcoveff; z1++) fprintf(ficlog, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
 2557: 	fprintf(ficlog, "**********\n#");
 2558:       }
 2559:       for(i=1; i<=nlstate;i++) 
 2560: 	fprintf(ficresp, " Age Prev(%d) N(%d) N",i,i);
 2561:       fprintf(ficresp, "\n");
 2562:       
 2563:       for(i=iagemin; i <= iagemax+3; i++){
 2564: 	if(i==iagemax+3){
 2565: 	  fprintf(ficlog,"Total");
 2566: 	}else{
 2567: 	  if(first==1){
 2568: 	    first=0;
 2569: 	    printf("See log file for details...\n");
 2570: 	  }
 2571: 	  fprintf(ficlog,"Age %d", i);
 2572: 	}
 2573: 	for(jk=1; jk <=nlstate ; jk++){
 2574: 	  for(m=-1, pp[jk]=0; m <=nlstate+ndeath ; m++)
 2575: 	    pp[jk] += freq[jk][m][i]; 
 2576: 	}
 2577: 	for(jk=1; jk <=nlstate ; jk++){
 2578: 	  for(m=-1, pos=0; m <=0 ; m++)
 2579: 	    pos += freq[jk][m][i];
 2580: 	  if(pp[jk]>=1.e-10){
 2581: 	    if(first==1){
 2582: 	      printf(" %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);
 2583: 	    }
 2584: 	    fprintf(ficlog," %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);
 2585: 	  }else{
 2586: 	    if(first==1)
 2587: 	      printf(" %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);
 2588: 	    fprintf(ficlog," %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);
 2589: 	  }
 2590: 	}
 2591: 
 2592: 	for(jk=1; jk <=nlstate ; jk++){
 2593: 	  for(m=0, pp[jk]=0; m <=nlstate+ndeath; m++)
 2594: 	    pp[jk] += freq[jk][m][i];
 2595: 	}	
 2596: 	for(jk=1,pos=0,posprop=0; jk <=nlstate ; jk++){
 2597: 	  pos += pp[jk];
 2598: 	  posprop += prop[jk][i];
 2599: 	}
 2600: 	for(jk=1; jk <=nlstate ; jk++){
 2601: 	  if(pos>=1.e-5){
 2602: 	    if(first==1)
 2603: 	      printf(" %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);
 2604: 	    fprintf(ficlog," %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);
 2605: 	  }else{
 2606: 	    if(first==1)
 2607: 	      printf(" %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);
 2608: 	    fprintf(ficlog," %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);
 2609: 	  }
 2610: 	  if( i <= iagemax){
 2611: 	    if(pos>=1.e-5){
 2612: 	      fprintf(ficresp," %d %.5f %.0f %.0f",i,prop[jk][i]/posprop, prop[jk][i],posprop);
 2613: 	      /*probs[i][jk][j1]= pp[jk]/pos;*/
 2614: 	      /*printf("\ni=%d jk=%d j1=%d %.5f %.0f %.0f %f",i,jk,j1,pp[jk]/pos, pp[jk],pos,probs[i][jk][j1]);*/
 2615: 	    }
 2616: 	    else
 2617: 	      fprintf(ficresp," %d NaNq %.0f %.0f",i,prop[jk][i],posprop);
 2618: 	  }
 2619: 	}
 2620: 	
 2621: 	for(jk=-1; jk <=nlstate+ndeath; jk++)
 2622: 	  for(m=-1; m <=nlstate+ndeath; m++)
 2623: 	    if(freq[jk][m][i] !=0 ) {
 2624: 	    if(first==1)
 2625: 	      printf(" %d%d=%.0f",jk,m,freq[jk][m][i]);
 2626: 	      fprintf(ficlog," %d%d=%.0f",jk,m,freq[jk][m][i]);
 2627: 	    }
 2628: 	if(i <= iagemax)
 2629: 	  fprintf(ficresp,"\n");
 2630: 	if(first==1)
 2631: 	  printf("Others in log...\n");
 2632: 	fprintf(ficlog,"\n");
 2633:       }
 2634:       /*}*/
 2635:   }
 2636:   dateintmean=dateintsum/k2cpt; 
 2637:  
 2638:   fclose(ficresp);
 2639:   free_ma3x(freq,-5,nlstate+ndeath,-5,nlstate+ndeath, iagemin, iagemax+3);
 2640:   free_vector(pp,1,nlstate);
 2641:   free_matrix(prop,1,nlstate,iagemin, iagemax+3);
 2642:   /* End of Freq */
 2643: }
 2644: 
 2645: /************ Prevalence ********************/
 2646: void prevalence(double ***probs, double agemin, double agemax, int **s, double **agev, int nlstate, int imx, int *Tvar, int **nbcode, int *ncodemax,double **mint,double **anint, double dateprev1,double dateprev2, int firstpass, int lastpass)
 2647: {  
 2648:   /* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people
 2649:      in each health status at the date of interview (if between dateprev1 and dateprev2).
 2650:      We still use firstpass and lastpass as another selection.
 2651:   */
 2652:  
 2653:   int i, m, jk, k1, i1, j1, bool, z1,j;
 2654:   double ***freq; /* Frequencies */
 2655:   double *pp, **prop;
 2656:   double pos,posprop; 
 2657:   double  y2; /* in fractional years */
 2658:   int iagemin, iagemax;
 2659:   int first; /** to stop verbosity which is redirected to log file */
 2660: 
 2661:   iagemin= (int) agemin;
 2662:   iagemax= (int) agemax;
 2663:   /*pp=vector(1,nlstate);*/
 2664:   prop=matrix(1,nlstate,iagemin,iagemax+3); 
 2665:   /*  freq=ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,iagemin,iagemax+3);*/
 2666:   j1=0;
 2667:   
 2668:   /*j=cptcoveff;*/
 2669:   if (cptcovn<1) {j=1;ncodemax[1]=1;}
 2670:   
 2671:   first=1;
 2672:   for(j1=1; j1<= (int) pow(2,cptcoveff);j1++){
 2673:     /*for(i1=1; i1<=ncodemax[k1];i1++){
 2674:       j1++;*/
 2675:       
 2676:       for (i=1; i<=nlstate; i++)  
 2677: 	for(m=iagemin; m <= iagemax+3; m++)
 2678: 	  prop[i][m]=0.0;
 2679:      
 2680:       for (i=1; i<=imx; i++) { /* Each individual */
 2681: 	bool=1;
 2682: 	if  (cptcovn>0) {
 2683: 	  for (z1=1; z1<=cptcoveff; z1++) 
 2684: 	    if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtab[j1][z1]]) 
 2685: 	      bool=0;
 2686: 	} 
 2687: 	if (bool==1) { 
 2688: 	  for(m=firstpass; m<=lastpass; m++){/* Other selection (we can limit to certain interviews*/
 2689: 	    y2=anint[m][i]+(mint[m][i]/12.); /* Fractional date in year */
 2690: 	    if ((y2>=dateprev1) && (y2<=dateprev2)) { /* Here is the main selection (fractional years) */
 2691: 	      if(agev[m][i]==0) agev[m][i]=iagemax+1;
 2692: 	      if(agev[m][i]==1) agev[m][i]=iagemax+2;
 2693: 	      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); 
 2694:  	      if (s[m][i]>0 && s[m][i]<=nlstate) { 
 2695: 		/*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]]);*/
 2696:  		prop[s[m][i]][(int)agev[m][i]] += weight[i];
 2697:  		prop[s[m][i]][iagemax+3] += weight[i]; 
 2698:  	      } 
 2699: 	    }
 2700: 	  } /* end selection of waves */
 2701: 	}
 2702:       }
 2703:       for(i=iagemin; i <= iagemax+3; i++){  
 2704:  	for(jk=1,posprop=0; jk <=nlstate ; jk++) { 
 2705:  	  posprop += prop[jk][i]; 
 2706:  	} 
 2707: 	
 2708:  	for(jk=1; jk <=nlstate ; jk++){	    
 2709:  	  if( i <=  iagemax){ 
 2710:  	    if(posprop>=1.e-5){ 
 2711:  	      probs[i][jk][j1]= prop[jk][i]/posprop;
 2712:  	    } else{
 2713: 	      if(first==1){
 2714: 		first=0;
 2715: 		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]);
 2716: 	      }
 2717: 	    }
 2718:  	  } 
 2719:  	}/* end jk */ 
 2720:       }/* end i */ 
 2721:     /*} *//* end i1 */
 2722:   } /* end j1 */
 2723:   
 2724:   /*  free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath, iagemin, iagemax+3);*/
 2725:   /*free_vector(pp,1,nlstate);*/
 2726:   free_matrix(prop,1,nlstate, iagemin,iagemax+3);
 2727: }  /* End of prevalence */
 2728: 
 2729: /************* Waves Concatenation ***************/
 2730: 
 2731: 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)
 2732: {
 2733:   /* Concatenates waves: wav[i] is the number of effective (useful waves) of individual i.
 2734:      Death is a valid wave (if date is known).
 2735:      mw[mi][i] is the mi (mi=1 to wav[i])  effective wave of individual i
 2736:      dh[m][i] or dh[mw[mi][i]][i] is the delay between two effective waves m=mw[mi][i]
 2737:      and mw[mi+1][i]. dh depends on stepm.
 2738:      */
 2739: 
 2740:   int i, mi, m;
 2741:   /* int j, k=0,jk, ju, jl,jmin=1e+5, jmax=-1;
 2742:      double sum=0., jmean=0.;*/
 2743:   int first;
 2744:   int j, k=0,jk, ju, jl;
 2745:   double sum=0.;
 2746:   first=0;
 2747:   jmin=1e+5;
 2748:   jmax=-1;
 2749:   jmean=0.;
 2750:   for(i=1; i<=imx; i++){
 2751:     mi=0;
 2752:     m=firstpass;
 2753:     while(s[m][i] <= nlstate){
 2754:       if(s[m][i]>=1 || s[m][i]==-2 || s[m][i]==-4 || s[m][i]==-5)
 2755: 	mw[++mi][i]=m;
 2756:       if(m >=lastpass)
 2757: 	break;
 2758:       else
 2759: 	m++;
 2760:     }/* end while */
 2761:     if (s[m][i] > nlstate){
 2762:       mi++;	/* Death is another wave */
 2763:       /* if(mi==0)  never been interviewed correctly before death */
 2764: 	 /* Only death is a correct wave */
 2765:       mw[mi][i]=m;
 2766:     }
 2767: 
 2768:     wav[i]=mi;
 2769:     if(mi==0){
 2770:       nbwarn++;
 2771:       if(first==0){
 2772: 	printf("Warning! No valid information for individual %ld line=%d (skipped) and may be others, see log file\n",num[i],i);
 2773: 	first=1;
 2774:       }
 2775:       if(first==1){
 2776: 	fprintf(ficlog,"Warning! No valid information for individual %ld line=%d (skipped)\n",num[i],i);
 2777:       }
 2778:     } /* end mi==0 */
 2779:   } /* End individuals */
 2780: 
 2781:   for(i=1; i<=imx; i++){
 2782:     for(mi=1; mi<wav[i];mi++){
 2783:       if (stepm <=0)
 2784: 	dh[mi][i]=1;
 2785:       else{
 2786: 	if (s[mw[mi+1][i]][i] > nlstate) { /* A death */
 2787: 	  if (agedc[i] < 2*AGESUP) {
 2788: 	    j= rint(agedc[i]*12-agev[mw[mi][i]][i]*12); 
 2789: 	    if(j==0) j=1;  /* Survives at least one month after exam */
 2790: 	    else if(j<0){
 2791: 	      nberr++;
 2792: 	      printf("Error! Negative delay (%d to death) between waves %d and %d of individual %ld at line %d who is aged %.1f with statuses from %d to %d\n ",j,mw[mi][i],mw[mi+1][i],num[i], i,agev[mw[mi][i]][i],s[mw[mi][i]][i] ,s[mw[mi+1][i]][i]);
 2793: 	      j=1; /* Temporary Dangerous patch */
 2794: 	      printf("   We assumed that the date of interview was correct (and not the date of death) and postponed the death %d month(s) (one stepm) after the interview. You MUST fix the contradiction between dates.\n",stepm);
 2795: 	      fprintf(ficlog,"Error! Negative delay (%d to death) between waves %d and %d of individual %ld at line %d who is aged %.1f with statuses from %d to %d\n ",j,mw[mi][i],mw[mi+1][i],num[i], i,agev[mw[mi][i]][i],s[mw[mi][i]][i] ,s[mw[mi+1][i]][i]);
 2796: 	      fprintf(ficlog,"   We assumed that the date of interview was correct (and not the date of death) and postponed the death %d month(s) (one stepm) after the interview. You MUST fix the contradiction between dates.\n",stepm);
 2797: 	    }
 2798: 	    k=k+1;
 2799: 	    if (j >= jmax){
 2800: 	      jmax=j;
 2801: 	      ijmax=i;
 2802: 	    }
 2803: 	    if (j <= jmin){
 2804: 	      jmin=j;
 2805: 	      ijmin=i;
 2806: 	    }
 2807: 	    sum=sum+j;
 2808: 	    /*if (j<0) printf("j=%d num=%d \n",j,i);*/
 2809: 	    /*	  printf("%d %d %d %d\n", s[mw[mi][i]][i] ,s[mw[mi+1][i]][i],j,i);*/
 2810: 	  }
 2811: 	}
 2812: 	else{
 2813: 	  j= rint( (agev[mw[mi+1][i]][i]*12 - agev[mw[mi][i]][i]*12));
 2814: /* 	  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]); */
 2815: 
 2816: 	  k=k+1;
 2817: 	  if (j >= jmax) {
 2818: 	    jmax=j;
 2819: 	    ijmax=i;
 2820: 	  }
 2821: 	  else if (j <= jmin){
 2822: 	    jmin=j;
 2823: 	    ijmin=i;
 2824: 	  }
 2825: 	  /*	    if (j<10) printf("j=%d jmin=%d num=%d ",j,jmin,i); */
 2826: 	  /*printf("%d %lf %d %d %d\n", i,agev[mw[mi][i]][i],j,s[mw[mi][i]][i] ,s[mw[mi+1][i]][i]);*/
 2827: 	  if(j<0){
 2828: 	    nberr++;
 2829: 	    printf("Error! Negative delay (%d) between waves %d and %d of individual %ld at line %d who is aged %.1f with statuses from %d to %d\n ",j,mw[mi][i],mw[mi+1][i],num[i], i,agev[mw[mi][i]][i],s[mw[mi][i]][i] ,s[mw[mi+1][i]][i]);
 2830: 	    fprintf(ficlog,"Error! Negative delay (%d) between waves %d and %d of individual %ld at line %d who is aged %.1f with statuses from %d to %d\n ",j,mw[mi][i],mw[mi+1][i],num[i], i,agev[mw[mi][i]][i],s[mw[mi][i]][i] ,s[mw[mi+1][i]][i]);
 2831: 	  }
 2832: 	  sum=sum+j;
 2833: 	}
 2834: 	jk= j/stepm;
 2835: 	jl= j -jk*stepm;
 2836: 	ju= j -(jk+1)*stepm;
 2837: 	if(mle <=1){ /* only if we use a the linear-interpoloation pseudo-likelihood */
 2838: 	  if(jl==0){
 2839: 	    dh[mi][i]=jk;
 2840: 	    bh[mi][i]=0;
 2841: 	  }else{ /* We want a negative bias in order to only have interpolation ie
 2842: 		  * to avoid the price of an extra matrix product in likelihood */
 2843: 	    dh[mi][i]=jk+1;
 2844: 	    bh[mi][i]=ju;
 2845: 	  }
 2846: 	}else{
 2847: 	  if(jl <= -ju){
 2848: 	    dh[mi][i]=jk;
 2849: 	    bh[mi][i]=jl;	/* bias is positive if real duration
 2850: 				 * is higher than the multiple of stepm and negative otherwise.
 2851: 				 */
 2852: 	  }
 2853: 	  else{
 2854: 	    dh[mi][i]=jk+1;
 2855: 	    bh[mi][i]=ju;
 2856: 	  }
 2857: 	  if(dh[mi][i]==0){
 2858: 	    dh[mi][i]=1; /* At least one step */
 2859: 	    bh[mi][i]=ju; /* At least one step */
 2860: 	    /*  printf(" bh=%d ju=%d jl=%d dh=%d jk=%d stepm=%d %d\n",bh[mi][i],ju,jl,dh[mi][i],jk,stepm,i);*/
 2861: 	  }
 2862: 	} /* end if mle */
 2863:       }
 2864:     } /* end wave */
 2865:   }
 2866:   jmean=sum/k;
 2867:   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);
 2868:   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);
 2869:  }
 2870: 
 2871: /*********** Tricode ****************************/
 2872: void tricode(int *Tvar, int **nbcode, int imx, int *Ndum)
 2873: {
 2874:   /**< Uses cptcovn+2*cptcovprod as the number of covariates */
 2875:   /*	  Tvar[i]=atoi(stre);  find 'n' in Vn and stores in Tvar. If model=V2+V1 Tvar[1]=2 and Tvar[2]=1 
 2876:   /* Boring subroutine which should only output nbcode[Tvar[j]][k]
 2877:    * Tvar[5] in V2+V1+V3*age+V2*V4 is 2 (V2)
 2878:   /* nbcode[Tvar[j]][1]= 
 2879:   */
 2880: 
 2881:   int ij=1, k=0, j=0, i=0, maxncov=NCOVMAX;
 2882:   int modmaxcovj=0; /* Modality max of covariates j */
 2883:   int cptcode=0; /* Modality max of covariates j */
 2884:   int modmincovj=0; /* Modality min of covariates j */
 2885: 
 2886: 
 2887:   cptcoveff=0; 
 2888:  
 2889:   for (k=-1; k < maxncov; k++) Ndum[k]=0;
 2890:   for (k=1; k <= maxncov; k++) ncodemax[k]=0; /* Horrible constant again replaced by NCOVMAX */
 2891: 
 2892:   /* Loop on covariates without age and products */
 2893:   for (j=1; j<=(cptcovs); j++) { /* model V1 + V2*age+ V3 + V3*V4 : V1 + V3 = 2 only */
 2894:     for (i=1; i<=imx; i++) { /* Lopp on individuals: reads the data file to get the maximum value of the 
 2895: 			       modality of this covariate Vj*/ 
 2896:       ij=(int)(covar[Tvar[j]][i]); /* ij=0 or 1 or -1. Value of the covariate Tvar[j] for individual i
 2897: 				    * If product of Vn*Vm, still boolean *:
 2898: 				    * If it was coded 1, 2, 3, 4 should be splitted into 3 boolean variables
 2899: 				    * 1 => 0 0 0, 2 => 0 0 1, 3 => 0 1 1, 4=1 0 0   */
 2900:       /* Finds for covariate j, n=Tvar[j] of Vn . ij is the
 2901: 				      modality of the nth covariate of individual i. */
 2902:       if (ij > modmaxcovj)
 2903:         modmaxcovj=ij; 
 2904:       else if (ij < modmincovj) 
 2905: 	modmincovj=ij; 
 2906:       if ((ij < -1) && (ij > NCOVMAX)){
 2907: 	printf( "Error: minimal is less than -1 or maximal is bigger than %d. Exiting. \n", NCOVMAX );
 2908: 	exit(1);
 2909:       }else
 2910:       Ndum[ij]++; /*counts and stores the occurence of this modality 0, 1, -1*/
 2911:       /*  If coded 1, 2, 3 , counts the number of 1 Ndum[1], number of 2, Ndum[2], etc */
 2912:       /*printf("i=%d ij=%d Ndum[ij]=%d imx=%d",i,ij,Ndum[ij],imx);*/
 2913:       /* getting the maximum value of the modality of the covariate
 2914: 	 (should be 0 or 1 now) Tvar[j]. If V=sex and male is coded 0 and
 2915: 	 female is 1, then modmaxcovj=1.*/
 2916:     }
 2917:     printf(" Minimal and maximal values of %d th covariate V%d: min=%d max=%d \n", j, Tvar[j], modmincovj, modmaxcovj);
 2918:     cptcode=modmaxcovj;
 2919:     /* Ndum[0] = frequency of 0 for model-covariate j, Ndum[1] frequency of 1 etc. */
 2920:    /*for (i=0; i<=cptcode; i++) {*/
 2921:     for (i=modmincovj;  i<=modmaxcovj; i++) { /* i=-1 ? 0 and 1*//* For each value of the modality of model-cov j */
 2922:       printf("Frequencies of covariates %d V%d %d\n", j, Tvar[j], Ndum[i]);
 2923:       if( Ndum[i] != 0 ){ /* Counts if nobody answered, empty modality */
 2924: 	ncodemax[j]++;  /* ncodemax[j]= Number of non-null modalities of the j th covariate. */
 2925:       }
 2926:       /* In fact  ncodemax[j]=2 (dichotom. variables only) but it could be more for
 2927: 	 historical reasons: 3 if coded 1, 2, 3 and 4 and Ndum[2]=0 */
 2928:     } /* Ndum[-1] number of undefined modalities */
 2929: 
 2930:     /* j is a covariate, n=Tvar[j] of Vn; Fills nbcode */
 2931:     /* For covariate j, modalities could be 1, 2, 3, 4. If Ndum[2]=0 ncodemax[j] is not 4 but 3 */
 2932:     /* If Ndum[3}= 635; Ndum[4]=0; Ndum[5]=0; Ndum[6]=27; Ndum[7]=125;
 2933:        modmincovj=3; modmaxcovj = 7;
 2934:        There are only 3 modalities non empty (or 2 if 27 is too few) : ncodemax[j]=3;
 2935:        which will be coded 0, 1, 2 which in binary on 3-1 digits are 0=00 1=01, 2=10; defining two dummy 
 2936:        variables V1_1 and V1_2.
 2937:        nbcode[Tvar[j]][ij]=k;
 2938:        nbcode[Tvar[j]][1]=0;
 2939:        nbcode[Tvar[j]][2]=1;
 2940:        nbcode[Tvar[j]][3]=2;
 2941:     */
 2942:     ij=1; /* ij is similar to i but can jumps over null modalities */
 2943:     for (i=modmincovj; i<=modmaxcovj; i++) { /* i= 1 to 2 for dichotomous, or from 1 to 3 */
 2944:       for (k=0; k<= cptcode; k++) { /* k=-1 ? k=0 to 1 *//* Could be 1 to 4 */
 2945: 	/*recode from 0 */
 2946: 	if (Ndum[k] != 0) { /* If at least one individual responded to this modality k */
 2947: 	  nbcode[Tvar[j]][ij]=k;  /* stores the modality in an array nbcode. 
 2948: 				     k is a modality. If we have model=V1+V1*sex 
 2949: 				     then: nbcode[1][1]=0 ; nbcode[1][2]=1; nbcode[2][1]=0 ; nbcode[2][2]=1; */
 2950: 	  ij++;
 2951: 	}
 2952: 	if (ij > ncodemax[j]) break; 
 2953:       }  /* end of loop on */
 2954:     } /* end of loop on modality */ 
 2955:   } /* end of loop on model-covariate j. nbcode[Tvarj][1]=0 and nbcode[Tvarj][2]=1 sets the value of covariate j*/  
 2956:   
 2957:  for (k=-1; k< maxncov; k++) Ndum[k]=0; 
 2958:   
 2959:   for (i=1; i<=ncovmodel-2; i++) { /* -2, cste and age */ 
 2960:    /* Listing of all covariables in statement model to see if some covariates appear twice. For example, V1 appears twice in V1+V1*V2.*/ 
 2961:    ij=Tvar[i]; /* Tvar might be -1 if status was unknown */ 
 2962:    Ndum[ij]++; 
 2963:  } 
 2964: 
 2965:  ij=1;
 2966:  for (i=0; i<=  maxncov-1; i++) { /* modmaxcovj is unknown here. Only Ndum[2(V2),3(age*V3), 5(V3*V2) 6(V1*V4) */
 2967:    /*printf("Ndum[%d]=%d\n",i, Ndum[i]);*/
 2968:    if((Ndum[i]!=0) && (i<=ncovcol)){
 2969:      /*printf("diff Ndum[%d]=%d\n",i, Ndum[i]);*/
 2970:      Tvaraff[ij]=i; /*For printing (unclear) */
 2971:      ij++;
 2972:    }else
 2973:        Tvaraff[ij]=0;
 2974:  }
 2975:  ij--;
 2976:  cptcoveff=ij; /*Number of total covariates*/
 2977: 
 2978: }
 2979: 
 2980: 
 2981: /*********** Health Expectancies ****************/
 2982: 
 2983: void evsij(double ***eij, double x[], int nlstate, int stepm, int bage, int fage, double **oldm, double **savm, int cij, int estepm,char strstart[] )
 2984: 
 2985: {
 2986:   /* Health expectancies, no variances */
 2987:   int i, j, nhstepm, hstepm, h, nstepm, k, cptj, cptj2, i2, j2;
 2988:   int nhstepma, nstepma; /* Decreasing with age */
 2989:   double age, agelim, hf;
 2990:   double ***p3mat;
 2991:   double eip;
 2992: 
 2993:   pstamp(ficreseij);
 2994:   fprintf(ficreseij,"# (a) Life expectancies by health status at initial age and (b) health expectancies by health status at initial age\n");
 2995:   fprintf(ficreseij,"# Age");
 2996:   for(i=1; i<=nlstate;i++){
 2997:     for(j=1; j<=nlstate;j++){
 2998:       fprintf(ficreseij," e%1d%1d ",i,j);
 2999:     }
 3000:     fprintf(ficreseij," e%1d. ",i);
 3001:   }
 3002:   fprintf(ficreseij,"\n");
 3003: 
 3004:   
 3005:   if(estepm < stepm){
 3006:     printf ("Problem %d lower than %d\n",estepm, stepm);
 3007:   }
 3008:   else  hstepm=estepm;   
 3009:   /* We compute the life expectancy from trapezoids spaced every estepm months
 3010:    * This is mainly to measure the difference between two models: for example
 3011:    * if stepm=24 months pijx are given only every 2 years and by summing them
 3012:    * we are calculating an estimate of the Life Expectancy assuming a linear 
 3013:    * progression in between and thus overestimating or underestimating according
 3014:    * to the curvature of the survival function. If, for the same date, we 
 3015:    * estimate the model with stepm=1 month, we can keep estepm to 24 months
 3016:    * to compare the new estimate of Life expectancy with the same linear 
 3017:    * hypothesis. A more precise result, taking into account a more precise
 3018:    * curvature will be obtained if estepm is as small as stepm. */
 3019: 
 3020:   /* For example we decided to compute the life expectancy with the smallest unit */
 3021:   /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
 3022:      nhstepm is the number of hstepm from age to agelim 
 3023:      nstepm is the number of stepm from age to agelin. 
 3024:      Look at hpijx to understand the reason of that which relies in memory size
 3025:      and note for a fixed period like estepm months */
 3026:   /* We decided (b) to get a life expectancy respecting the most precise curvature of the
 3027:      survival function given by stepm (the optimization length). Unfortunately it
 3028:      means that if the survival funtion is printed only each two years of age and if
 3029:      you sum them up and add 1 year (area under the trapezoids) you won't get the same 
 3030:      results. So we changed our mind and took the option of the best precision.
 3031:   */
 3032:   hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
 3033: 
 3034:   agelim=AGESUP;
 3035:   /* If stepm=6 months */
 3036:     /* Computed by stepm unit matrices, product of hstepm matrices, stored
 3037:        in an array of nhstepm length: nhstepm=10, hstepm=4, stepm=6 months */
 3038:     
 3039: /* nhstepm age range expressed in number of stepm */
 3040:   nstepm=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
 3041:   /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
 3042:   /* if (stepm >= YEARM) hstepm=1;*/
 3043:   nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
 3044:   p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
 3045: 
 3046:   for (age=bage; age<=fage; age ++){ 
 3047:     nstepma=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
 3048:     /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
 3049:     /* if (stepm >= YEARM) hstepm=1;*/
 3050:     nhstepma = nstepma/hstepm;/* Expressed in hstepm, typically nhstepma=40/4=10 */
 3051: 
 3052:     /* If stepm=6 months */
 3053:     /* Computed by stepm unit matrices, product of hstepma matrices, stored
 3054:        in an array of nhstepma length: nhstepma=10, hstepm=4, stepm=6 months */
 3055:     
 3056:     hpxij(p3mat,nhstepma,age,hstepm,x,nlstate,stepm,oldm, savm, cij);  
 3057:     
 3058:     hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
 3059:     
 3060:     printf("%d|",(int)age);fflush(stdout);
 3061:     fprintf(ficlog,"%d|",(int)age);fflush(ficlog);
 3062:     
 3063:     /* Computing expectancies */
 3064:     for(i=1; i<=nlstate;i++)
 3065:       for(j=1; j<=nlstate;j++)
 3066: 	for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){
 3067: 	  eij[i][j][(int)age] += (p3mat[i][j][h]+p3mat[i][j][h+1])/2.0*hf;
 3068: 	  
 3069: 	  /* 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]);*/
 3070: 
 3071: 	}
 3072: 
 3073:     fprintf(ficreseij,"%3.0f",age );
 3074:     for(i=1; i<=nlstate;i++){
 3075:       eip=0;
 3076:       for(j=1; j<=nlstate;j++){
 3077: 	eip +=eij[i][j][(int)age];
 3078: 	fprintf(ficreseij,"%9.4f", eij[i][j][(int)age] );
 3079:       }
 3080:       fprintf(ficreseij,"%9.4f", eip );
 3081:     }
 3082:     fprintf(ficreseij,"\n");
 3083:     
 3084:   }
 3085:   free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
 3086:   printf("\n");
 3087:   fprintf(ficlog,"\n");
 3088:   
 3089: }
 3090: 
 3091: 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[] )
 3092: 
 3093: {
 3094:   /* Covariances of health expectancies eij and of total life expectancies according
 3095:    to initial status i, ei. .
 3096:   */
 3097:   int i, j, nhstepm, hstepm, h, nstepm, k, cptj, cptj2, i2, j2, ij, ji;
 3098:   int nhstepma, nstepma; /* Decreasing with age */
 3099:   double age, agelim, hf;
 3100:   double ***p3matp, ***p3matm, ***varhe;
 3101:   double **dnewm,**doldm;
 3102:   double *xp, *xm;
 3103:   double **gp, **gm;
 3104:   double ***gradg, ***trgradg;
 3105:   int theta;
 3106: 
 3107:   double eip, vip;
 3108: 
 3109:   varhe=ma3x(1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int) fage);
 3110:   xp=vector(1,npar);
 3111:   xm=vector(1,npar);
 3112:   dnewm=matrix(1,nlstate*nlstate,1,npar);
 3113:   doldm=matrix(1,nlstate*nlstate,1,nlstate*nlstate);
 3114:   
 3115:   pstamp(ficresstdeij);
 3116:   fprintf(ficresstdeij,"# Health expectancies with standard errors\n");
 3117:   fprintf(ficresstdeij,"# Age");
 3118:   for(i=1; i<=nlstate;i++){
 3119:     for(j=1; j<=nlstate;j++)
 3120:       fprintf(ficresstdeij," e%1d%1d (SE)",i,j);
 3121:     fprintf(ficresstdeij," e%1d. ",i);
 3122:   }
 3123:   fprintf(ficresstdeij,"\n");
 3124: 
 3125:   pstamp(ficrescveij);
 3126:   fprintf(ficrescveij,"# Subdiagonal matrix of covariances of health expectancies by age: cov(eij,ekl)\n");
 3127:   fprintf(ficrescveij,"# Age");
 3128:   for(i=1; i<=nlstate;i++)
 3129:     for(j=1; j<=nlstate;j++){
 3130:       cptj= (j-1)*nlstate+i;
 3131:       for(i2=1; i2<=nlstate;i2++)
 3132: 	for(j2=1; j2<=nlstate;j2++){
 3133: 	  cptj2= (j2-1)*nlstate+i2;
 3134: 	  if(cptj2 <= cptj)
 3135: 	    fprintf(ficrescveij,"  %1d%1d,%1d%1d",i,j,i2,j2);
 3136: 	}
 3137:     }
 3138:   fprintf(ficrescveij,"\n");
 3139:   
 3140:   if(estepm < stepm){
 3141:     printf ("Problem %d lower than %d\n",estepm, stepm);
 3142:   }
 3143:   else  hstepm=estepm;   
 3144:   /* We compute the life expectancy from trapezoids spaced every estepm months
 3145:    * This is mainly to measure the difference between two models: for example
 3146:    * if stepm=24 months pijx are given only every 2 years and by summing them
 3147:    * we are calculating an estimate of the Life Expectancy assuming a linear 
 3148:    * progression in between and thus overestimating or underestimating according
 3149:    * to the curvature of the survival function. If, for the same date, we 
 3150:    * estimate the model with stepm=1 month, we can keep estepm to 24 months
 3151:    * to compare the new estimate of Life expectancy with the same linear 
 3152:    * hypothesis. A more precise result, taking into account a more precise
 3153:    * curvature will be obtained if estepm is as small as stepm. */
 3154: 
 3155:   /* For example we decided to compute the life expectancy with the smallest unit */
 3156:   /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
 3157:      nhstepm is the number of hstepm from age to agelim 
 3158:      nstepm is the number of stepm from age to agelin. 
 3159:      Look at hpijx to understand the reason of that which relies in memory size
 3160:      and note for a fixed period like estepm months */
 3161:   /* We decided (b) to get a life expectancy respecting the most precise curvature of the
 3162:      survival function given by stepm (the optimization length). Unfortunately it
 3163:      means that if the survival funtion is printed only each two years of age and if
 3164:      you sum them up and add 1 year (area under the trapezoids) you won't get the same 
 3165:      results. So we changed our mind and took the option of the best precision.
 3166:   */
 3167:   hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
 3168: 
 3169:   /* If stepm=6 months */
 3170:   /* nhstepm age range expressed in number of stepm */
 3171:   agelim=AGESUP;
 3172:   nstepm=(int) rint((agelim-bage)*YEARM/stepm); 
 3173:   /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
 3174:   /* if (stepm >= YEARM) hstepm=1;*/
 3175:   nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
 3176:   
 3177:   p3matp=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
 3178:   p3matm=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
 3179:   gradg=ma3x(0,nhstepm,1,npar,1,nlstate*nlstate);
 3180:   trgradg =ma3x(0,nhstepm,1,nlstate*nlstate,1,npar);
 3181:   gp=matrix(0,nhstepm,1,nlstate*nlstate);
 3182:   gm=matrix(0,nhstepm,1,nlstate*nlstate);
 3183: 
 3184:   for (age=bage; age<=fage; age ++){ 
 3185:     nstepma=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
 3186:     /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
 3187:     /* if (stepm >= YEARM) hstepm=1;*/
 3188:     nhstepma = nstepma/hstepm;/* Expressed in hstepm, typically nhstepma=40/4=10 */
 3189: 
 3190:     /* If stepm=6 months */
 3191:     /* Computed by stepm unit matrices, product of hstepma matrices, stored
 3192:        in an array of nhstepma length: nhstepma=10, hstepm=4, stepm=6 months */
 3193:     
 3194:     hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
 3195: 
 3196:     /* Computing  Variances of health expectancies */
 3197:     /* Gradient is computed with plus gp and minus gm. Code is duplicated in order to
 3198:        decrease memory allocation */
 3199:     for(theta=1; theta <=npar; theta++){
 3200:       for(i=1; i<=npar; i++){ 
 3201: 	xp[i] = x[i] + (i==theta ?delti[theta]:0);
 3202: 	xm[i] = x[i] - (i==theta ?delti[theta]:0);
 3203:       }
 3204:       hpxij(p3matp,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, cij);  
 3205:       hpxij(p3matm,nhstepm,age,hstepm,xm,nlstate,stepm,oldm,savm, cij);  
 3206:   
 3207:       for(j=1; j<= nlstate; j++){
 3208: 	for(i=1; i<=nlstate; i++){
 3209: 	  for(h=0; h<=nhstepm-1; h++){
 3210: 	    gp[h][(j-1)*nlstate + i] = (p3matp[i][j][h]+p3matp[i][j][h+1])/2.;
 3211: 	    gm[h][(j-1)*nlstate + i] = (p3matm[i][j][h]+p3matm[i][j][h+1])/2.;
 3212: 	  }
 3213: 	}
 3214:       }
 3215:      
 3216:       for(ij=1; ij<= nlstate*nlstate; ij++)
 3217: 	for(h=0; h<=nhstepm-1; h++){
 3218: 	  gradg[h][theta][ij]= (gp[h][ij]-gm[h][ij])/2./delti[theta];
 3219: 	}
 3220:     }/* End theta */
 3221:     
 3222:     
 3223:     for(h=0; h<=nhstepm-1; h++)
 3224:       for(j=1; j<=nlstate*nlstate;j++)
 3225: 	for(theta=1; theta <=npar; theta++)
 3226: 	  trgradg[h][j][theta]=gradg[h][theta][j];
 3227:     
 3228: 
 3229:      for(ij=1;ij<=nlstate*nlstate;ij++)
 3230:       for(ji=1;ji<=nlstate*nlstate;ji++)
 3231: 	varhe[ij][ji][(int)age] =0.;
 3232: 
 3233:      printf("%d|",(int)age);fflush(stdout);
 3234:      fprintf(ficlog,"%d|",(int)age);fflush(ficlog);
 3235:      for(h=0;h<=nhstepm-1;h++){
 3236:       for(k=0;k<=nhstepm-1;k++){
 3237: 	matprod2(dnewm,trgradg[h],1,nlstate*nlstate,1,npar,1,npar,matcov);
 3238: 	matprod2(doldm,dnewm,1,nlstate*nlstate,1,npar,1,nlstate*nlstate,gradg[k]);
 3239: 	for(ij=1;ij<=nlstate*nlstate;ij++)
 3240: 	  for(ji=1;ji<=nlstate*nlstate;ji++)
 3241: 	    varhe[ij][ji][(int)age] += doldm[ij][ji]*hf*hf;
 3242:       }
 3243:     }
 3244: 
 3245:     /* Computing expectancies */
 3246:     hpxij(p3matm,nhstepm,age,hstepm,x,nlstate,stepm,oldm, savm, cij);  
 3247:     for(i=1; i<=nlstate;i++)
 3248:       for(j=1; j<=nlstate;j++)
 3249: 	for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){
 3250: 	  eij[i][j][(int)age] += (p3matm[i][j][h]+p3matm[i][j][h+1])/2.0*hf;
 3251: 	  
 3252: 	  /* 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]);*/
 3253: 
 3254: 	}
 3255: 
 3256:     fprintf(ficresstdeij,"%3.0f",age );
 3257:     for(i=1; i<=nlstate;i++){
 3258:       eip=0.;
 3259:       vip=0.;
 3260:       for(j=1; j<=nlstate;j++){
 3261: 	eip += eij[i][j][(int)age];
 3262: 	for(k=1; k<=nlstate;k++) /* Sum on j and k of cov(eij,eik) */
 3263: 	  vip += varhe[(j-1)*nlstate+i][(k-1)*nlstate+i][(int)age];
 3264: 	fprintf(ficresstdeij," %9.4f (%.4f)", eij[i][j][(int)age], sqrt(varhe[(j-1)*nlstate+i][(j-1)*nlstate+i][(int)age]) );
 3265:       }
 3266:       fprintf(ficresstdeij," %9.4f (%.4f)", eip, sqrt(vip));
 3267:     }
 3268:     fprintf(ficresstdeij,"\n");
 3269: 
 3270:     fprintf(ficrescveij,"%3.0f",age );
 3271:     for(i=1; i<=nlstate;i++)
 3272:       for(j=1; j<=nlstate;j++){
 3273: 	cptj= (j-1)*nlstate+i;
 3274: 	for(i2=1; i2<=nlstate;i2++)
 3275: 	  for(j2=1; j2<=nlstate;j2++){
 3276: 	    cptj2= (j2-1)*nlstate+i2;
 3277: 	    if(cptj2 <= cptj)
 3278: 	      fprintf(ficrescveij," %.4f", varhe[cptj][cptj2][(int)age]);
 3279: 	  }
 3280:       }
 3281:     fprintf(ficrescveij,"\n");
 3282:    
 3283:   }
 3284:   free_matrix(gm,0,nhstepm,1,nlstate*nlstate);
 3285:   free_matrix(gp,0,nhstepm,1,nlstate*nlstate);
 3286:   free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate*nlstate);
 3287:   free_ma3x(trgradg,0,nhstepm,1,nlstate*nlstate,1,npar);
 3288:   free_ma3x(p3matm,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
 3289:   free_ma3x(p3matp,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
 3290:   printf("\n");
 3291:   fprintf(ficlog,"\n");
 3292: 
 3293:   free_vector(xm,1,npar);
 3294:   free_vector(xp,1,npar);
 3295:   free_matrix(dnewm,1,nlstate*nlstate,1,npar);
 3296:   free_matrix(doldm,1,nlstate*nlstate,1,nlstate*nlstate);
 3297:   free_ma3x(varhe,1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int)fage);
 3298: }
 3299: 
 3300: /************ Variance ******************/
 3301: 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[])
 3302: {
 3303:   /* Variance of health expectancies */
 3304:   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);*/
 3305:   /* double **newm;*/
 3306:   double **dnewm,**doldm;
 3307:   double **dnewmp,**doldmp;
 3308:   int i, j, nhstepm, hstepm, h, nstepm ;
 3309:   int k, cptcode;
 3310:   double *xp;
 3311:   double **gp, **gm;  /* for var eij */
 3312:   double ***gradg, ***trgradg; /*for var eij */
 3313:   double **gradgp, **trgradgp; /* for var p point j */
 3314:   double *gpp, *gmp; /* for var p point j */
 3315:   double **varppt; /* for var p point j nlstate to nlstate+ndeath */
 3316:   double ***p3mat;
 3317:   double age,agelim, hf;
 3318:   double ***mobaverage;
 3319:   int theta;
 3320:   char digit[4];
 3321:   char digitp[25];
 3322: 
 3323:   char fileresprobmorprev[FILENAMELENGTH];
 3324: 
 3325:   if(popbased==1){
 3326:     if(mobilav!=0)
 3327:       strcpy(digitp,"-populbased-mobilav-");
 3328:     else strcpy(digitp,"-populbased-nomobil-");
 3329:   }
 3330:   else 
 3331:     strcpy(digitp,"-stablbased-");
 3332: 
 3333:   if (mobilav!=0) {
 3334:     mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
 3335:     if (movingaverage(probs, bage, fage, mobaverage,mobilav)!=0){
 3336:       fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
 3337:       printf(" Error in movingaverage mobilav=%d\n",mobilav);
 3338:     }
 3339:   }
 3340: 
 3341:   strcpy(fileresprobmorprev,"prmorprev"); 
 3342:   sprintf(digit,"%-d",ij);
 3343:   /*printf("DIGIT=%s, ij=%d ijr=%-d|\n",digit, ij,ij);*/
 3344:   strcat(fileresprobmorprev,digit); /* Tvar to be done */
 3345:   strcat(fileresprobmorprev,digitp); /* Popbased or not, mobilav or not */
 3346:   strcat(fileresprobmorprev,fileres);
 3347:   if((ficresprobmorprev=fopen(fileresprobmorprev,"w"))==NULL) {
 3348:     printf("Problem with resultfile: %s\n", fileresprobmorprev);
 3349:     fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobmorprev);
 3350:   }
 3351:   printf("Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
 3352:  
 3353:   fprintf(ficlog,"Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
 3354:   pstamp(ficresprobmorprev);
 3355:   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);
 3356:   fprintf(ficresprobmorprev,"# Age cov=%-d",ij);
 3357:   for(j=nlstate+1; j<=(nlstate+ndeath);j++){
 3358:     fprintf(ficresprobmorprev," p.%-d SE",j);
 3359:     for(i=1; i<=nlstate;i++)
 3360:       fprintf(ficresprobmorprev," w%1d p%-d%-d",i,i,j);
 3361:   }  
 3362:   fprintf(ficresprobmorprev,"\n");
 3363:   fprintf(ficgp,"\n# Routine varevsij");
 3364:   /* fprintf(fichtm, "#Local time at start: %s", strstart);*/
 3365:   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");
 3366:   fprintf(fichtm,"\n<br>%s  <br>\n",digitp);
 3367: /*   } */
 3368:   varppt = matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
 3369:   pstamp(ficresvij);
 3370:   fprintf(ficresvij,"# Variance and covariance of health expectancies e.j \n#  (weighted average of eij where weights are ");
 3371:   if(popbased==1)
 3372:     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);
 3373:   else
 3374:     fprintf(ficresvij,"the age specific period (stable) prevalences in each health state \n");
 3375:   fprintf(ficresvij,"# Age");
 3376:   for(i=1; i<=nlstate;i++)
 3377:     for(j=1; j<=nlstate;j++)
 3378:       fprintf(ficresvij," Cov(e.%1d, e.%1d)",i,j);
 3379:   fprintf(ficresvij,"\n");
 3380: 
 3381:   xp=vector(1,npar);
 3382:   dnewm=matrix(1,nlstate,1,npar);
 3383:   doldm=matrix(1,nlstate,1,nlstate);
 3384:   dnewmp= matrix(nlstate+1,nlstate+ndeath,1,npar);
 3385:   doldmp= matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
 3386: 
 3387:   gradgp=matrix(1,npar,nlstate+1,nlstate+ndeath);
 3388:   gpp=vector(nlstate+1,nlstate+ndeath);
 3389:   gmp=vector(nlstate+1,nlstate+ndeath);
 3390:   trgradgp =matrix(nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
 3391:   
 3392:   if(estepm < stepm){
 3393:     printf ("Problem %d lower than %d\n",estepm, stepm);
 3394:   }
 3395:   else  hstepm=estepm;   
 3396:   /* For example we decided to compute the life expectancy with the smallest unit */
 3397:   /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
 3398:      nhstepm is the number of hstepm from age to agelim 
 3399:      nstepm is the number of stepm from age to agelin. 
 3400:      Look at function hpijx to understand why (it is linked to memory size questions) */
 3401:   /* We decided (b) to get a life expectancy respecting the most precise curvature of the
 3402:      survival function given by stepm (the optimization length). Unfortunately it
 3403:      means that if the survival funtion is printed every two years of age and if
 3404:      you sum them up and add 1 year (area under the trapezoids) you won't get the same 
 3405:      results. So we changed our mind and took the option of the best precision.
 3406:   */
 3407:   hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
 3408:   agelim = AGESUP;
 3409:   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
 3410:     nstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
 3411:     nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
 3412:     p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
 3413:     gradg=ma3x(0,nhstepm,1,npar,1,nlstate);
 3414:     gp=matrix(0,nhstepm,1,nlstate);
 3415:     gm=matrix(0,nhstepm,1,nlstate);
 3416: 
 3417: 
 3418:     for(theta=1; theta <=npar; theta++){
 3419:       for(i=1; i<=npar; i++){ /* Computes gradient x + delta*/
 3420: 	xp[i] = x[i] + (i==theta ?delti[theta]:0);
 3421:       }
 3422:       hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);  
 3423:       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);
 3424: 
 3425:       if (popbased==1) {
 3426: 	if(mobilav ==0){
 3427: 	  for(i=1; i<=nlstate;i++)
 3428: 	    prlim[i][i]=probs[(int)age][i][ij];
 3429: 	}else{ /* mobilav */ 
 3430: 	  for(i=1; i<=nlstate;i++)
 3431: 	    prlim[i][i]=mobaverage[(int)age][i][ij];
 3432: 	}
 3433:       }
 3434:   
 3435:       for(j=1; j<= nlstate; j++){
 3436: 	for(h=0; h<=nhstepm; h++){
 3437: 	  for(i=1, gp[h][j]=0.;i<=nlstate;i++)
 3438: 	    gp[h][j] += prlim[i][i]*p3mat[i][j][h];
 3439: 	}
 3440:       }
 3441:       /* This for computing probability of death (h=1 means
 3442:          computed over hstepm matrices product = hstepm*stepm months) 
 3443:          as a weighted average of prlim.
 3444:       */
 3445:       for(j=nlstate+1;j<=nlstate+ndeath;j++){
 3446: 	for(i=1,gpp[j]=0.; i<= nlstate; i++)
 3447: 	  gpp[j] += prlim[i][i]*p3mat[i][j][1];
 3448:       }    
 3449:       /* end probability of death */
 3450: 
 3451:       for(i=1; i<=npar; i++) /* Computes gradient x - delta */
 3452: 	xp[i] = x[i] - (i==theta ?delti[theta]:0);
 3453:       hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);  
 3454:       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);
 3455:  
 3456:       if (popbased==1) {
 3457: 	if(mobilav ==0){
 3458: 	  for(i=1; i<=nlstate;i++)
 3459: 	    prlim[i][i]=probs[(int)age][i][ij];
 3460: 	}else{ /* mobilav */ 
 3461: 	  for(i=1; i<=nlstate;i++)
 3462: 	    prlim[i][i]=mobaverage[(int)age][i][ij];
 3463: 	}
 3464:       }
 3465: 
 3466:       for(j=1; j<= nlstate; j++){  /* Sum of wi * eij = e.j */
 3467: 	for(h=0; h<=nhstepm; h++){
 3468: 	  for(i=1, gm[h][j]=0.;i<=nlstate;i++)
 3469: 	    gm[h][j] += prlim[i][i]*p3mat[i][j][h];
 3470: 	}
 3471:       }
 3472:       /* This for computing probability of death (h=1 means
 3473:          computed over hstepm matrices product = hstepm*stepm months) 
 3474:          as a weighted average of prlim.
 3475:       */
 3476:       for(j=nlstate+1;j<=nlstate+ndeath;j++){
 3477: 	for(i=1,gmp[j]=0.; i<= nlstate; i++)
 3478:          gmp[j] += prlim[i][i]*p3mat[i][j][1];
 3479:       }    
 3480:       /* end probability of death */
 3481: 
 3482:       for(j=1; j<= nlstate; j++) /* vareij */
 3483: 	for(h=0; h<=nhstepm; h++){
 3484: 	  gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta];
 3485: 	}
 3486: 
 3487:       for(j=nlstate+1; j<= nlstate+ndeath; j++){ /* var mu */
 3488: 	gradgp[theta][j]= (gpp[j]-gmp[j])/2./delti[theta];
 3489:       }
 3490: 
 3491:     } /* End theta */
 3492: 
 3493:     trgradg =ma3x(0,nhstepm,1,nlstate,1,npar); /* veij */
 3494: 
 3495:     for(h=0; h<=nhstepm; h++) /* veij */
 3496:       for(j=1; j<=nlstate;j++)
 3497: 	for(theta=1; theta <=npar; theta++)
 3498: 	  trgradg[h][j][theta]=gradg[h][theta][j];
 3499: 
 3500:     for(j=nlstate+1; j<=nlstate+ndeath;j++) /* mu */
 3501:       for(theta=1; theta <=npar; theta++)
 3502: 	trgradgp[j][theta]=gradgp[theta][j];
 3503:   
 3504: 
 3505:     hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
 3506:     for(i=1;i<=nlstate;i++)
 3507:       for(j=1;j<=nlstate;j++)
 3508: 	vareij[i][j][(int)age] =0.;
 3509: 
 3510:     for(h=0;h<=nhstepm;h++){
 3511:       for(k=0;k<=nhstepm;k++){
 3512: 	matprod2(dnewm,trgradg[h],1,nlstate,1,npar,1,npar,matcov);
 3513: 	matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg[k]);
 3514: 	for(i=1;i<=nlstate;i++)
 3515: 	  for(j=1;j<=nlstate;j++)
 3516: 	    vareij[i][j][(int)age] += doldm[i][j]*hf*hf;
 3517:       }
 3518:     }
 3519:   
 3520:     /* pptj */
 3521:     matprod2(dnewmp,trgradgp,nlstate+1,nlstate+ndeath,1,npar,1,npar,matcov);
 3522:     matprod2(doldmp,dnewmp,nlstate+1,nlstate+ndeath,1,npar,nlstate+1,nlstate+ndeath,gradgp);
 3523:     for(j=nlstate+1;j<=nlstate+ndeath;j++)
 3524:       for(i=nlstate+1;i<=nlstate+ndeath;i++)
 3525: 	varppt[j][i]=doldmp[j][i];
 3526:     /* end ppptj */
 3527:     /*  x centered again */
 3528:     hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm,savm, ij);  
 3529:     prevalim(prlim,nlstate,x,age,oldm,savm,ftolpl,ij);
 3530:  
 3531:     if (popbased==1) {
 3532:       if(mobilav ==0){
 3533: 	for(i=1; i<=nlstate;i++)
 3534: 	  prlim[i][i]=probs[(int)age][i][ij];
 3535:       }else{ /* mobilav */ 
 3536: 	for(i=1; i<=nlstate;i++)
 3537: 	  prlim[i][i]=mobaverage[(int)age][i][ij];
 3538:       }
 3539:     }
 3540:              
 3541:     /* This for computing probability of death (h=1 means
 3542:        computed over hstepm (estepm) matrices product = hstepm*stepm months) 
 3543:        as a weighted average of prlim.
 3544:     */
 3545:     for(j=nlstate+1;j<=nlstate+ndeath;j++){
 3546:       for(i=1,gmp[j]=0.;i<= nlstate; i++) 
 3547: 	gmp[j] += prlim[i][i]*p3mat[i][j][1]; 
 3548:     }    
 3549:     /* end probability of death */
 3550: 
 3551:     fprintf(ficresprobmorprev,"%3d %d ",(int) age, ij);
 3552:     for(j=nlstate+1; j<=(nlstate+ndeath);j++){
 3553:       fprintf(ficresprobmorprev," %11.3e %11.3e",gmp[j], sqrt(varppt[j][j]));
 3554:       for(i=1; i<=nlstate;i++){
 3555: 	fprintf(ficresprobmorprev," %11.3e %11.3e ",prlim[i][i],p3mat[i][j][1]);
 3556:       }
 3557:     } 
 3558:     fprintf(ficresprobmorprev,"\n");
 3559: 
 3560:     fprintf(ficresvij,"%.0f ",age );
 3561:     for(i=1; i<=nlstate;i++)
 3562:       for(j=1; j<=nlstate;j++){
 3563: 	fprintf(ficresvij," %.4f", vareij[i][j][(int)age]);
 3564:       }
 3565:     fprintf(ficresvij,"\n");
 3566:     free_matrix(gp,0,nhstepm,1,nlstate);
 3567:     free_matrix(gm,0,nhstepm,1,nlstate);
 3568:     free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate);
 3569:     free_ma3x(trgradg,0,nhstepm,1,nlstate,1,npar);
 3570:     free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
 3571:   } /* End age */
 3572:   free_vector(gpp,nlstate+1,nlstate+ndeath);
 3573:   free_vector(gmp,nlstate+1,nlstate+ndeath);
 3574:   free_matrix(gradgp,1,npar,nlstate+1,nlstate+ndeath);
 3575:   free_matrix(trgradgp,nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
 3576:   fprintf(ficgp,"\nunset parametric;unset label; set ter png small size 320, 240");
 3577:   /* for(j=nlstate+1; j<= nlstate+ndeath; j++){ *//* Only the first actually */
 3578:   fprintf(ficgp,"\n set log y; unset log x;set xlabel \"Age\"; set ylabel \"Force of mortality (year-1)\";");
 3579: /*   fprintf(ficgp,"\n plot \"%s\"  u 1:($3*%6.3f) not w l 1 ",fileresprobmorprev,YEARM/estepm); */
 3580: /*   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)*%6.3f) t \"95\%% interval\" w l 2 ",fileresprobmorprev,YEARM/estepm); */
 3581: /*   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)*%6.3f) not w l 2 ",fileresprobmorprev,YEARM/estepm); */
 3582:   fprintf(ficgp,"\n plot \"%s\"  u 1:($3) not w l lt 1 ",subdirf(fileresprobmorprev));
 3583:   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)) t \"95\%% interval\" w l lt 2 ",subdirf(fileresprobmorprev));
 3584:   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)) not w l lt 2 ",subdirf(fileresprobmorprev));
 3585:   fprintf(fichtm,"\n<br> File (multiple files are possible if covariates are present): <A href=\"%s\">%s</a>\n",subdirf(fileresprobmorprev),subdirf(fileresprobmorprev));
 3586:   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);
 3587:   /*  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);
 3588: */
 3589: /*   fprintf(ficgp,"\nset out \"varmuptjgr%s%s%s.png\";replot;",digitp,optionfilefiname,digit); */
 3590:   fprintf(ficgp,"\nset out \"%s%s.png\";replot;\n",subdirf3(optionfilefiname,"varmuptjgr",digitp),digit);
 3591: 
 3592:   free_vector(xp,1,npar);
 3593:   free_matrix(doldm,1,nlstate,1,nlstate);
 3594:   free_matrix(dnewm,1,nlstate,1,npar);
 3595:   free_matrix(doldmp,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
 3596:   free_matrix(dnewmp,nlstate+1,nlstate+ndeath,1,npar);
 3597:   free_matrix(varppt,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
 3598:   if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
 3599:   fclose(ficresprobmorprev);
 3600:   fflush(ficgp);
 3601:   fflush(fichtm); 
 3602: }  /* end varevsij */
 3603: 
 3604: /************ Variance of prevlim ******************/
 3605: 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[])
 3606: {
 3607:   /* Variance of prevalence limit */
 3608:   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double **savm,double ftolpl);*/
 3609:   double **newm;
 3610:   double **dnewm,**doldm;
 3611:   int i, j, nhstepm, hstepm;
 3612:   int k, cptcode;
 3613:   double *xp;
 3614:   double *gp, *gm;
 3615:   double **gradg, **trgradg;
 3616:   double age,agelim;
 3617:   int theta;
 3618:   
 3619:   pstamp(ficresvpl);
 3620:   fprintf(ficresvpl,"# Standard deviation of period (stable) prevalences \n");
 3621:   fprintf(ficresvpl,"# Age");
 3622:   for(i=1; i<=nlstate;i++)
 3623:       fprintf(ficresvpl," %1d-%1d",i,i);
 3624:   fprintf(ficresvpl,"\n");
 3625: 
 3626:   xp=vector(1,npar);
 3627:   dnewm=matrix(1,nlstate,1,npar);
 3628:   doldm=matrix(1,nlstate,1,nlstate);
 3629:   
 3630:   hstepm=1*YEARM; /* Every year of age */
 3631:   hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */ 
 3632:   agelim = AGESUP;
 3633:   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
 3634:     nhstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
 3635:     if (stepm >= YEARM) hstepm=1;
 3636:     nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
 3637:     gradg=matrix(1,npar,1,nlstate);
 3638:     gp=vector(1,nlstate);
 3639:     gm=vector(1,nlstate);
 3640: 
 3641:     for(theta=1; theta <=npar; theta++){
 3642:       for(i=1; i<=npar; i++){ /* Computes gradient */
 3643: 	xp[i] = x[i] + (i==theta ?delti[theta]:0);
 3644:       }
 3645:       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);
 3646:       for(i=1;i<=nlstate;i++)
 3647: 	gp[i] = prlim[i][i];
 3648:     
 3649:       for(i=1; i<=npar; i++) /* Computes gradient */
 3650: 	xp[i] = x[i] - (i==theta ?delti[theta]:0);
 3651:       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);
 3652:       for(i=1;i<=nlstate;i++)
 3653: 	gm[i] = prlim[i][i];
 3654: 
 3655:       for(i=1;i<=nlstate;i++)
 3656: 	gradg[theta][i]= (gp[i]-gm[i])/2./delti[theta];
 3657:     } /* End theta */
 3658: 
 3659:     trgradg =matrix(1,nlstate,1,npar);
 3660: 
 3661:     for(j=1; j<=nlstate;j++)
 3662:       for(theta=1; theta <=npar; theta++)
 3663: 	trgradg[j][theta]=gradg[theta][j];
 3664: 
 3665:     for(i=1;i<=nlstate;i++)
 3666:       varpl[i][(int)age] =0.;
 3667:     matprod2(dnewm,trgradg,1,nlstate,1,npar,1,npar,matcov);
 3668:     matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg);
 3669:     for(i=1;i<=nlstate;i++)
 3670:       varpl[i][(int)age] = doldm[i][i]; /* Covariances are useless */
 3671: 
 3672:     fprintf(ficresvpl,"%.0f ",age );
 3673:     for(i=1; i<=nlstate;i++)
 3674:       fprintf(ficresvpl," %.5f (%.5f)",prlim[i][i],sqrt(varpl[i][(int)age]));
 3675:     fprintf(ficresvpl,"\n");
 3676:     free_vector(gp,1,nlstate);
 3677:     free_vector(gm,1,nlstate);
 3678:     free_matrix(gradg,1,npar,1,nlstate);
 3679:     free_matrix(trgradg,1,nlstate,1,npar);
 3680:   } /* End age */
 3681: 
 3682:   free_vector(xp,1,npar);
 3683:   free_matrix(doldm,1,nlstate,1,npar);
 3684:   free_matrix(dnewm,1,nlstate,1,nlstate);
 3685: 
 3686: }
 3687: 
 3688: /************ Variance of one-step probabilities  ******************/
 3689: 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[])
 3690: {
 3691:   int i, j=0,  i1, k1, l1, t, tj;
 3692:   int k2, l2, j1,  z1;
 3693:   int k=0,l, cptcode;
 3694:   int first=1, first1, first2;
 3695:   double cv12, mu1, mu2, lc1, lc2, v12, v21, v11, v22,v1,v2, c12, tnalp;
 3696:   double **dnewm,**doldm;
 3697:   double *xp;
 3698:   double *gp, *gm;
 3699:   double **gradg, **trgradg;
 3700:   double **mu;
 3701:   double age,agelim, cov[NCOVMAX+1];
 3702:   double std=2.0; /* Number of standard deviation wide of confidence ellipsoids */
 3703:   int theta;
 3704:   char fileresprob[FILENAMELENGTH];
 3705:   char fileresprobcov[FILENAMELENGTH];
 3706:   char fileresprobcor[FILENAMELENGTH];
 3707:   double ***varpij;
 3708: 
 3709:   strcpy(fileresprob,"prob"); 
 3710:   strcat(fileresprob,fileres);
 3711:   if((ficresprob=fopen(fileresprob,"w"))==NULL) {
 3712:     printf("Problem with resultfile: %s\n", fileresprob);
 3713:     fprintf(ficlog,"Problem with resultfile: %s\n", fileresprob);
 3714:   }
 3715:   strcpy(fileresprobcov,"probcov"); 
 3716:   strcat(fileresprobcov,fileres);
 3717:   if((ficresprobcov=fopen(fileresprobcov,"w"))==NULL) {
 3718:     printf("Problem with resultfile: %s\n", fileresprobcov);
 3719:     fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcov);
 3720:   }
 3721:   strcpy(fileresprobcor,"probcor"); 
 3722:   strcat(fileresprobcor,fileres);
 3723:   if((ficresprobcor=fopen(fileresprobcor,"w"))==NULL) {
 3724:     printf("Problem with resultfile: %s\n", fileresprobcor);
 3725:     fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcor);
 3726:   }
 3727:   printf("Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);
 3728:   fprintf(ficlog,"Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);
 3729:   printf("Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);
 3730:   fprintf(ficlog,"Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);
 3731:   printf("and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);
 3732:   fprintf(ficlog,"and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);
 3733:   pstamp(ficresprob);
 3734:   fprintf(ficresprob,"#One-step probabilities and stand. devi in ()\n");
 3735:   fprintf(ficresprob,"# Age");
 3736:   pstamp(ficresprobcov);
 3737:   fprintf(ficresprobcov,"#One-step probabilities and covariance matrix\n");
 3738:   fprintf(ficresprobcov,"# Age");
 3739:   pstamp(ficresprobcor);
 3740:   fprintf(ficresprobcor,"#One-step probabilities and correlation matrix\n");
 3741:   fprintf(ficresprobcor,"# Age");
 3742: 
 3743: 
 3744:   for(i=1; i<=nlstate;i++)
 3745:     for(j=1; j<=(nlstate+ndeath);j++){
 3746:       fprintf(ficresprob," p%1d-%1d (SE)",i,j);
 3747:       fprintf(ficresprobcov," p%1d-%1d ",i,j);
 3748:       fprintf(ficresprobcor," p%1d-%1d ",i,j);
 3749:     }  
 3750:  /* fprintf(ficresprob,"\n");
 3751:   fprintf(ficresprobcov,"\n");
 3752:   fprintf(ficresprobcor,"\n");
 3753:  */
 3754:   xp=vector(1,npar);
 3755:   dnewm=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);
 3756:   doldm=matrix(1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath));
 3757:   mu=matrix(1,(nlstate)*(nlstate+ndeath), (int) bage, (int)fage);
 3758:   varpij=ma3x(1,nlstate*(nlstate+ndeath),1,nlstate*(nlstate+ndeath),(int) bage, (int) fage);
 3759:   first=1;
 3760:   fprintf(ficgp,"\n# Routine varprob");
 3761:   fprintf(fichtm,"\n<li><h4> Computing and drawing one step probabilities with their confidence intervals</h4></li>\n");
 3762:   fprintf(fichtm,"\n");
 3763: 
 3764:   fprintf(fichtm,"\n<li><h4> <a href=\"%s\">Matrix of variance-covariance of pairs of step probabilities (drawings)</a></h4></li>\n",optionfilehtmcov);
 3765:   fprintf(fichtmcov,"\n<h4>Matrix of variance-covariance of pairs of step probabilities</h4>\n\
 3766:   file %s<br>\n",optionfilehtmcov);
 3767:   fprintf(fichtmcov,"\nEllipsoids of confidence centered on point (p<inf>ij</inf>, p<inf>kl</inf>) are estimated\
 3768: and drawn. It helps understanding how is the covariance between two incidences.\
 3769:  They are expressed in year<sup>-1</sup> in order to be less dependent of stepm.<br>\n");
 3770:   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. \
 3771: It can be understood this way: if pij and pkl where uncorrelated the (2x2) matrix of covariance \
 3772: would have been (1/(var pij), 0 , 0, 1/(var pkl)), and the confidence interval would be 2 \
 3773: standard deviations wide on each axis. <br>\
 3774:  Now, if both incidences are correlated (usual case) we diagonalised the inverse of the covariance matrix\
 3775:  and made the appropriate rotation to look at the uncorrelated principal directions.<br>\
 3776: To be simple, these graphs help to understand the significativity of each parameter in relation to a second other one.<br> \n");
 3777: 
 3778:   cov[1]=1;
 3779:   /* tj=cptcoveff; */
 3780:   tj = (int) pow(2,cptcoveff);
 3781:   if (cptcovn<1) {tj=1;ncodemax[1]=1;}
 3782:   j1=0;
 3783:   for(j1=1; j1<=tj;j1++){
 3784:     /*for(i1=1; i1<=ncodemax[t];i1++){ */
 3785:     /*j1++;*/
 3786:       if  (cptcovn>0) {
 3787: 	fprintf(ficresprob, "\n#********** Variable "); 
 3788: 	for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprob, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
 3789: 	fprintf(ficresprob, "**********\n#\n");
 3790: 	fprintf(ficresprobcov, "\n#********** Variable "); 
 3791: 	for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcov, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
 3792: 	fprintf(ficresprobcov, "**********\n#\n");
 3793: 	
 3794: 	fprintf(ficgp, "\n#********** Variable "); 
 3795: 	for (z1=1; z1<=cptcoveff; z1++) fprintf(ficgp, " V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
 3796: 	fprintf(ficgp, "**********\n#\n");
 3797: 	
 3798: 	
 3799: 	fprintf(fichtmcov, "\n<hr  size=\"2\" color=\"#EC5E5E\">********** Variable "); 
 3800: 	for (z1=1; z1<=cptcoveff; z1++) fprintf(fichtm, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
 3801: 	fprintf(fichtmcov, "**********\n<hr size=\"2\" color=\"#EC5E5E\">");
 3802: 	
 3803: 	fprintf(ficresprobcor, "\n#********** Variable ");    
 3804: 	for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcor, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
 3805: 	fprintf(ficresprobcor, "**********\n#");    
 3806:       }
 3807:       
 3808:       gradg=matrix(1,npar,1,(nlstate)*(nlstate+ndeath));
 3809:       trgradg=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);
 3810:       gp=vector(1,(nlstate)*(nlstate+ndeath));
 3811:       gm=vector(1,(nlstate)*(nlstate+ndeath));
 3812:       for (age=bage; age<=fage; age ++){ 
 3813: 	cov[2]=age;
 3814: 	for (k=1; k<=cptcovn;k++) {
 3815: 	  cov[2+k]=nbcode[Tvar[k]][codtab[j1][Tvar[k]]];/* j1 1 2 3 4
 3816: 							 * 1  1 1 1 1
 3817: 							 * 2  2 1 1 1
 3818: 							 * 3  1 2 1 1
 3819: 							 */
 3820: 	  /* nbcode[1][1]=0 nbcode[1][2]=1;*/
 3821: 	}
 3822: 	for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2];
 3823: 	for (k=1; k<=cptcovprod;k++)
 3824: 	  cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]]*nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]];
 3825: 	
 3826:     
 3827: 	for(theta=1; theta <=npar; theta++){
 3828: 	  for(i=1; i<=npar; i++)
 3829: 	    xp[i] = x[i] + (i==theta ?delti[theta]:(double)0);
 3830: 	  
 3831: 	  pmij(pmmij,cov,ncovmodel,xp,nlstate);
 3832: 	  
 3833: 	  k=0;
 3834: 	  for(i=1; i<= (nlstate); i++){
 3835: 	    for(j=1; j<=(nlstate+ndeath);j++){
 3836: 	      k=k+1;
 3837: 	      gp[k]=pmmij[i][j];
 3838: 	    }
 3839: 	  }
 3840: 	  
 3841: 	  for(i=1; i<=npar; i++)
 3842: 	    xp[i] = x[i] - (i==theta ?delti[theta]:(double)0);
 3843:     
 3844: 	  pmij(pmmij,cov,ncovmodel,xp,nlstate);
 3845: 	  k=0;
 3846: 	  for(i=1; i<=(nlstate); i++){
 3847: 	    for(j=1; j<=(nlstate+ndeath);j++){
 3848: 	      k=k+1;
 3849: 	      gm[k]=pmmij[i][j];
 3850: 	    }
 3851: 	  }
 3852:      
 3853: 	  for(i=1; i<= (nlstate)*(nlstate+ndeath); i++) 
 3854: 	    gradg[theta][i]=(gp[i]-gm[i])/(double)2./delti[theta];  
 3855: 	}
 3856: 
 3857: 	for(j=1; j<=(nlstate)*(nlstate+ndeath);j++)
 3858: 	  for(theta=1; theta <=npar; theta++)
 3859: 	    trgradg[j][theta]=gradg[theta][j];
 3860: 	
 3861: 	matprod2(dnewm,trgradg,1,(nlstate)*(nlstate+ndeath),1,npar,1,npar,matcov); 
 3862: 	matprod2(doldm,dnewm,1,(nlstate)*(nlstate+ndeath),1,npar,1,(nlstate)*(nlstate+ndeath),gradg);
 3863: 
 3864: 	pmij(pmmij,cov,ncovmodel,x,nlstate);
 3865: 	
 3866: 	k=0;
 3867: 	for(i=1; i<=(nlstate); i++){
 3868: 	  for(j=1; j<=(nlstate+ndeath);j++){
 3869: 	    k=k+1;
 3870: 	    mu[k][(int) age]=pmmij[i][j];
 3871: 	  }
 3872: 	}
 3873:      	for(i=1;i<=(nlstate)*(nlstate+ndeath);i++)
 3874: 	  for(j=1;j<=(nlstate)*(nlstate+ndeath);j++)
 3875: 	    varpij[i][j][(int)age] = doldm[i][j];
 3876: 
 3877: 	/*printf("\n%d ",(int)age);
 3878: 	  for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){
 3879: 	  printf("%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));
 3880: 	  fprintf(ficlog,"%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));
 3881: 	  }*/
 3882: 
 3883: 	fprintf(ficresprob,"\n%d ",(int)age);
 3884: 	fprintf(ficresprobcov,"\n%d ",(int)age);
 3885: 	fprintf(ficresprobcor,"\n%d ",(int)age);
 3886: 
 3887: 	for (i=1; i<=(nlstate)*(nlstate+ndeath);i++)
 3888: 	  fprintf(ficresprob,"%11.3e (%11.3e) ",mu[i][(int) age],sqrt(varpij[i][i][(int)age]));
 3889: 	for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){
 3890: 	  fprintf(ficresprobcov,"%11.3e ",mu[i][(int) age]);
 3891: 	  fprintf(ficresprobcor,"%11.3e ",mu[i][(int) age]);
 3892: 	}
 3893: 	i=0;
 3894: 	for (k=1; k<=(nlstate);k++){
 3895:  	  for (l=1; l<=(nlstate+ndeath);l++){ 
 3896:  	    i++;
 3897: 	    fprintf(ficresprobcov,"\n%d %d-%d",(int)age,k,l);
 3898: 	    fprintf(ficresprobcor,"\n%d %d-%d",(int)age,k,l);
 3899: 	    for (j=1; j<=i;j++){
 3900: 	      /* printf(" k=%d l=%d i=%d j=%d\n",k,l,i,j);fflush(stdout); */
 3901: 	      fprintf(ficresprobcov," %11.3e",varpij[i][j][(int)age]);
 3902: 	      fprintf(ficresprobcor," %11.3e",varpij[i][j][(int) age]/sqrt(varpij[i][i][(int) age])/sqrt(varpij[j][j][(int)age]));
 3903: 	    }
 3904: 	  }
 3905: 	}/* end of loop for state */
 3906:       } /* end of loop for age */
 3907:       free_vector(gp,1,(nlstate+ndeath)*(nlstate+ndeath));
 3908:       free_vector(gm,1,(nlstate+ndeath)*(nlstate+ndeath));
 3909:       free_matrix(trgradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);
 3910:       free_matrix(gradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);
 3911:       
 3912:       /* Confidence intervalle of pij  */
 3913:       /*
 3914: 	fprintf(ficgp,"\nunset parametric;unset label");
 3915: 	fprintf(ficgp,"\nset log y;unset log x; set xlabel \"Age\";set ylabel \"probability (year-1)\"");
 3916: 	fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65");
 3917: 	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);
 3918: 	fprintf(fichtm,"\n<br><img src=\"pijgr%s.png\"> ",optionfilefiname);
 3919: 	fprintf(ficgp,"\nset out \"pijgr%s.png\"",optionfilefiname);
 3920: 	fprintf(ficgp,"\nplot \"%s\" every :::%d::%d u 1:2 \"\%%lf",k1,k2,xfilevarprob);
 3921:       */
 3922: 
 3923:       /* Drawing ellipsoids of confidence of two variables p(k1-l1,k2-l2)*/
 3924:       first1=1;first2=2;
 3925:       for (k2=1; k2<=(nlstate);k2++){
 3926: 	for (l2=1; l2<=(nlstate+ndeath);l2++){ 
 3927: 	  if(l2==k2) continue;
 3928: 	  j=(k2-1)*(nlstate+ndeath)+l2;
 3929: 	  for (k1=1; k1<=(nlstate);k1++){
 3930: 	    for (l1=1; l1<=(nlstate+ndeath);l1++){ 
 3931: 	      if(l1==k1) continue;
 3932: 	      i=(k1-1)*(nlstate+ndeath)+l1;
 3933: 	      if(i<=j) continue;
 3934: 	      for (age=bage; age<=fage; age ++){ 
 3935: 		if ((int)age %5==0){
 3936: 		  v1=varpij[i][i][(int)age]/stepm*YEARM/stepm*YEARM;
 3937: 		  v2=varpij[j][j][(int)age]/stepm*YEARM/stepm*YEARM;
 3938: 		  cv12=varpij[i][j][(int)age]/stepm*YEARM/stepm*YEARM;
 3939: 		  mu1=mu[i][(int) age]/stepm*YEARM ;
 3940: 		  mu2=mu[j][(int) age]/stepm*YEARM;
 3941: 		  c12=cv12/sqrt(v1*v2);
 3942: 		  /* Computing eigen value of matrix of covariance */
 3943: 		  lc1=((v1+v2)+sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
 3944: 		  lc2=((v1+v2)-sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
 3945: 		  if ((lc2 <0) || (lc1 <0) ){
 3946: 		    if(first2==1){
 3947: 		      first1=0;
 3948: 		    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);
 3949: 		    }
 3950: 		    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);
 3951: 		    /* lc1=fabs(lc1); */ /* If we want to have them positive */
 3952: 		    /* lc2=fabs(lc2); */
 3953: 		  }
 3954: 
 3955: 		  /* Eigen vectors */
 3956: 		  v11=(1./sqrt(1+(v1-lc1)*(v1-lc1)/cv12/cv12));
 3957: 		  /*v21=sqrt(1.-v11*v11); *//* error */
 3958: 		  v21=(lc1-v1)/cv12*v11;
 3959: 		  v12=-v21;
 3960: 		  v22=v11;
 3961: 		  tnalp=v21/v11;
 3962: 		  if(first1==1){
 3963: 		    first1=0;
 3964: 		    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);
 3965: 		  }
 3966: 		  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);
 3967: 		  /*printf(fignu*/
 3968: 		  /* mu1+ v11*lc1*cost + v12*lc2*sin(t) */
 3969: 		  /* mu2+ v21*lc1*cost + v22*lc2*sin(t) */
 3970: 		  if(first==1){
 3971: 		    first=0;
 3972:  		    fprintf(ficgp,"\nset parametric;unset label");
 3973: 		    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);
 3974: 		    fprintf(ficgp,"\nset ter png small size 320, 240");
 3975: 		    fprintf(fichtmcov,"\n<br>Ellipsoids of confidence cov(p%1d%1d,p%1d%1d) expressed in year<sup>-1</sup>\
 3976:  :<a href=\"%s%d%1d%1d-%1d%1d.png\">\
 3977: %s%d%1d%1d-%1d%1d.png</A>, ",k1,l1,k2,l2,\
 3978: 			    subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2,\
 3979: 			    subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2);
 3980: 		    fprintf(fichtmcov,"\n<br><img src=\"%s%d%1d%1d-%1d%1d.png\"> ",subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2);
 3981: 		    fprintf(fichtmcov,"\n<br> Correlation at age %d (%.3f),",(int) age, c12);
 3982: 		    fprintf(ficgp,"\nset out \"%s%d%1d%1d-%1d%1d.png\"",subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2);
 3983: 		    fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);
 3984: 		    fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);
 3985: 		    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",\
 3986: 			    mu1,std,v11,sqrt(lc1),v12,sqrt(lc2),\
 3987: 			    mu2,std,v21,sqrt(lc1),v22,sqrt(lc2));
 3988: 		  }else{
 3989: 		    first=0;
 3990: 		    fprintf(fichtmcov," %d (%.3f),",(int) age, c12);
 3991: 		    fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);
 3992: 		    fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);
 3993: 		    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",\
 3994: 			    mu1,std,v11,sqrt(lc1),v12,sqrt(lc2),\
 3995: 			    mu2,std,v21,sqrt(lc1),v22,sqrt(lc2));
 3996: 		  }/* if first */
 3997: 		} /* age mod 5 */
 3998: 	      } /* end loop age */
 3999: 	      fprintf(ficgp,"\nset out \"%s%d%1d%1d-%1d%1d.png\";replot;",subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2);
 4000: 	      first=1;
 4001: 	    } /*l12 */
 4002: 	  } /* k12 */
 4003: 	} /*l1 */
 4004:       }/* k1 */
 4005:       /* } /* loop covariates */
 4006:   }
 4007:   free_ma3x(varpij,1,nlstate,1,nlstate+ndeath,(int) bage, (int)fage);
 4008:   free_matrix(mu,1,(nlstate+ndeath)*(nlstate+ndeath),(int) bage, (int)fage);
 4009:   free_matrix(doldm,1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath));
 4010:   free_matrix(dnewm,1,(nlstate)*(nlstate+ndeath),1,npar);
 4011:   free_vector(xp,1,npar);
 4012:   fclose(ficresprob);
 4013:   fclose(ficresprobcov);
 4014:   fclose(ficresprobcor);
 4015:   fflush(ficgp);
 4016:   fflush(fichtmcov);
 4017: }
 4018: 
 4019: 
 4020: /******************* Printing html file ***********/
 4021: void printinghtml(char fileres[], char title[], char datafile[], int firstpass, \
 4022: 		  int lastpass, int stepm, int weightopt, char model[],\
 4023: 		  int imx,int jmin, int jmax, double jmeanint,char rfileres[],\
 4024: 		  int popforecast, int estepm ,\
 4025: 		  double jprev1, double mprev1,double anprev1, \
 4026: 		  double jprev2, double mprev2,double anprev2){
 4027:   int jj1, k1, i1, cpt;
 4028: 
 4029:    fprintf(fichtm,"<ul><li><a href='#firstorder'>Result files (first order: no variance)</a>\n \
 4030:    <li><a href='#secondorder'>Result files (second order (variance)</a>\n \
 4031: </ul>");
 4032:    fprintf(fichtm,"<ul><li><h4><a name='firstorder'>Result files (first order: no variance)</a></h4>\n \
 4033:  - Observed prevalence in each state (during the period defined between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf): <a href=\"%s\">%s</a> <br>\n ",
 4034: 	   jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,subdirf2(fileres,"p"),subdirf2(fileres,"p"));
 4035:    fprintf(fichtm,"\
 4036:  - Estimated transition probabilities over %d (stepm) months: <a href=\"%s\">%s</a><br>\n ",
 4037: 	   stepm,subdirf2(fileres,"pij"),subdirf2(fileres,"pij"));
 4038:    fprintf(fichtm,"\
 4039:  - Period (stable) prevalence in each health state: <a href=\"%s\">%s</a> <br>\n",
 4040: 	   subdirf2(fileres,"pl"),subdirf2(fileres,"pl"));
 4041:    fprintf(fichtm,"\
 4042:  - (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): \
 4043:    <a href=\"%s\">%s</a> <br>\n",
 4044: 	   estepm,subdirf2(fileres,"e"),subdirf2(fileres,"e"));
 4045:    fprintf(fichtm,"\
 4046:  - Population projections by age and states: \
 4047:    <a href=\"%s\">%s</a> <br>\n</li>", subdirf2(fileres,"f"),subdirf2(fileres,"f"));
 4048: 
 4049: fprintf(fichtm," \n<ul><li><b>Graphs</b></li><p>");
 4050: 
 4051:  m=pow(2,cptcoveff);
 4052:  if (cptcovn < 1) {m=1;ncodemax[1]=1;}
 4053: 
 4054:  jj1=0;
 4055:  for(k1=1; k1<=m;k1++){
 4056:    for(i1=1; i1<=ncodemax[k1];i1++){
 4057:      jj1++;
 4058:      if (cptcovn > 0) {
 4059:        fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");
 4060:        for (cpt=1; cpt<=cptcoveff;cpt++) 
 4061: 	 fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtab[jj1][cpt]]);
 4062:        fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");
 4063:      }
 4064:      /* Pij */
 4065:      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> \
 4066: <img src=\"%s%d_1.png\">",stepm,subdirf2(optionfilefiname,"pe"),jj1,subdirf2(optionfilefiname,"pe"),jj1,subdirf2(optionfilefiname,"pe"),jj1);     
 4067:      /* Quasi-incidences */
 4068:      fprintf(fichtm,"<br>- Pij or Conditional probabilities to be observed in state j being in state i %d (stepm) months\
 4069:  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> \
 4070: <img src=\"%s%d_2.png\">",stepm,subdirf2(optionfilefiname,"pe"),jj1,subdirf2(optionfilefiname,"pe"),jj1,subdirf2(optionfilefiname,"pe"),jj1); 
 4071:        /* Period (stable) prevalence in each health state */
 4072:        for(cpt=1; cpt<=nlstate;cpt++){
 4073: 	 fprintf(fichtm,"<br>- Convergence from each state (1 to %d) to period (stable) prevalence in state %d <a href=\"%s%d_%d.png\">%s%d_%d.png</a><br> \
 4074: <img src=\"%s%d_%d.png\">",nlstate, cpt, subdirf2(optionfilefiname,"p"),cpt,jj1,subdirf2(optionfilefiname,"p"),cpt,jj1,subdirf2(optionfilefiname,"p"),cpt,jj1);
 4075:        }
 4076:      for(cpt=1; cpt<=nlstate;cpt++) {
 4077:         fprintf(fichtm,"\n<br>- Life expectancy by health state (%d) at initial age and its decomposition into health expectancies in each alive state (1 to %d) : <a href=\"%s%d%d.png\">%s%d%d.png</a> <br> \
 4078: <img src=\"%s%d%d.png\">",cpt,nlstate,subdirf2(optionfilefiname,"exp"),cpt,jj1,subdirf2(optionfilefiname,"exp"),cpt,jj1,subdirf2(optionfilefiname,"exp"),cpt,jj1);
 4079:      }
 4080:    } /* end i1 */
 4081:  }/* End k1 */
 4082:  fprintf(fichtm,"</ul>");
 4083: 
 4084: 
 4085:  fprintf(fichtm,"\
 4086: \n<br><li><h4> <a name='secondorder'>Result files (second order: variances)</a></h4>\n\
 4087:  - Parameter file with estimated parameters and covariance matrix: <a href=\"%s\">%s</a> <br>\n", rfileres,rfileres);
 4088: 
 4089:  fprintf(fichtm," - Variance of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
 4090: 	 subdirf2(fileres,"prob"),subdirf2(fileres,"prob"));
 4091:  fprintf(fichtm,"\
 4092:  - Variance-covariance of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
 4093: 	 subdirf2(fileres,"probcov"),subdirf2(fileres,"probcov"));
 4094: 
 4095:  fprintf(fichtm,"\
 4096:  - Correlation matrix of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
 4097: 	 subdirf2(fileres,"probcor"),subdirf2(fileres,"probcor"));
 4098:  fprintf(fichtm,"\
 4099:  - 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): \
 4100:    <a href=\"%s\">%s</a> <br>\n</li>",
 4101: 	   estepm,subdirf2(fileres,"cve"),subdirf2(fileres,"cve"));
 4102:  fprintf(fichtm,"\
 4103:  - (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): \
 4104:    <a href=\"%s\">%s</a> <br>\n</li>",
 4105: 	   estepm,subdirf2(fileres,"stde"),subdirf2(fileres,"stde"));
 4106:  fprintf(fichtm,"\
 4107:  - 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",
 4108: 	 estepm, subdirf2(fileres,"v"),subdirf2(fileres,"v"));
 4109:  fprintf(fichtm,"\
 4110:  - 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",
 4111: 	 estepm, subdirf2(fileres,"t"),subdirf2(fileres,"t"));
 4112:  fprintf(fichtm,"\
 4113:  - Standard deviation of period (stable) prevalences: <a href=\"%s\">%s</a> <br>\n",\
 4114: 	 subdirf2(fileres,"vpl"),subdirf2(fileres,"vpl"));
 4115: 
 4116: /*  if(popforecast==1) fprintf(fichtm,"\n */
 4117: /*  - Prevalences forecasting: <a href=\"f%s\">f%s</a> <br>\n */
 4118: /*  - Population forecasting (if popforecast=1): <a href=\"pop%s\">pop%s</a> <br>\n */
 4119: /* 	<br>",fileres,fileres,fileres,fileres); */
 4120: /*  else  */
 4121: /*    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); */
 4122:  fflush(fichtm);
 4123:  fprintf(fichtm," <ul><li><b>Graphs</b></li><p>");
 4124: 
 4125:  m=pow(2,cptcoveff);
 4126:  if (cptcovn < 1) {m=1;ncodemax[1]=1;}
 4127: 
 4128:  jj1=0;
 4129:  for(k1=1; k1<=m;k1++){
 4130:    for(i1=1; i1<=ncodemax[k1];i1++){
 4131:      jj1++;
 4132:      if (cptcovn > 0) {
 4133:        fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");
 4134:        for (cpt=1; cpt<=cptcoveff;cpt++) 
 4135: 	 fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtab[jj1][cpt]]);
 4136:        fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");
 4137:      }
 4138:      for(cpt=1; cpt<=nlstate;cpt++) {
 4139:        fprintf(fichtm,"<br>- Observed (cross-sectional) and period (incidence based) \
 4140: prevalence (with 95%% confidence interval) in state (%d): %s%d_%d.png <br>\
 4141: <img src=\"%s%d_%d.png\">",cpt,subdirf2(optionfilefiname,"v"),cpt,jj1,subdirf2(optionfilefiname,"v"),cpt,jj1);  
 4142:      }
 4143:      fprintf(fichtm,"\n<br>- Total life expectancy by age and \
 4144: health expectancies in states (1) and (2). If popbased=1 the smooth (due to the model) \
 4145: true period expectancies (those weighted with period prevalences are also\
 4146:  drawn in addition to the population based expectancies computed using\
 4147:  observed and cahotic prevalences: %s%d.png<br>\
 4148: <img src=\"%s%d.png\">",subdirf2(optionfilefiname,"e"),jj1,subdirf2(optionfilefiname,"e"),jj1);
 4149:    } /* end i1 */
 4150:  }/* End k1 */
 4151:  fprintf(fichtm,"</ul>");
 4152:  fflush(fichtm);
 4153: }
 4154: 
 4155: /******************* Gnuplot file **************/
 4156: void printinggnuplot(char fileres[], char optionfilefiname[], double ageminpar, double agemaxpar, double fage , char pathc[], double p[]){
 4157: 
 4158:   char dirfileres[132],optfileres[132];
 4159:   int m0,cpt=0,k1=0,i=0,k=0,j=0,jk=0,k2=0,k3=0,ij=0,l=0;
 4160:   int ng=0;
 4161: /*   if((ficgp=fopen(optionfilegnuplot,"a"))==NULL) { */
 4162: /*     printf("Problem with file %s",optionfilegnuplot); */
 4163: /*     fprintf(ficlog,"Problem with file %s",optionfilegnuplot); */
 4164: /*   } */
 4165: 
 4166:   /*#ifdef windows */
 4167:   fprintf(ficgp,"cd \"%s\" \n",pathc);
 4168:     /*#endif */
 4169:   m=pow(2,cptcoveff);
 4170: 
 4171:   strcpy(dirfileres,optionfilefiname);
 4172:   strcpy(optfileres,"vpl");
 4173:  /* 1eme*/
 4174:   fprintf(ficgp,"\n# 1st: Period (stable) prevalence with CI: 'vpl' files\n");
 4175:   for (cpt=1; cpt<= nlstate ; cpt ++) {
 4176:     for (k1=1; k1<= m ; k1 ++) { /* plot [100000000000000000000:-100000000000000000000] "mysbiaspar/vplrmysbiaspar.txt to check */
 4177:      fprintf(ficgp,"\nset out \"%s%d_%d.png\" \n",subdirf2(optionfilefiname,"v"),cpt,k1);
 4178:      fprintf(ficgp,"\n#set out \"v%s%d_%d.png\" \n",optionfilefiname,cpt,k1);
 4179:      fprintf(ficgp,"set xlabel \"Age\" \n\
 4180: set ylabel \"Probability\" \n\
 4181: set ter png small size 320, 240\n\
 4182: plot [%.f:%.f] \"%s\" every :::%d::%d u 1:2 \"\%%lf",ageminpar,fage,subdirf2(fileres,"vpl"),k1-1,k1-1);
 4183: 
 4184:      for (i=1; i<= nlstate ; i ++) {
 4185:        if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");
 4186:        else        fprintf(ficgp," \%%*lf (\%%*lf)");
 4187:      }
 4188:      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);
 4189:      for (i=1; i<= nlstate ; i ++) {
 4190:        if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");
 4191:        else fprintf(ficgp," \%%*lf (\%%*lf)");
 4192:      } 
 4193:      fprintf(ficgp,"\" t\"95\%% CI\" w l lt 1,\"%s\" every :::%d::%d u 1:($2-1.96*$3) \"\%%lf",subdirf2(fileres,"vpl"),k1-1,k1-1); 
 4194:      for (i=1; i<= nlstate ; i ++) {
 4195:        if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");
 4196:        else fprintf(ficgp," \%%*lf (\%%*lf)");
 4197:      }  
 4198:      fprintf(ficgp,"\" t\"\" w l lt 1,\"%s\" every :::%d::%d u 1:($%d) t\"Observed prevalence \" w l lt 2",subdirf2(fileres,"p"),k1-1,k1-1,2+4*(cpt-1));
 4199:    }
 4200:   }
 4201:   /*2 eme*/
 4202:   fprintf(ficgp,"\n# 2nd: Total life expectancy with CI: 't' files\n");
 4203:   for (k1=1; k1<= m ; k1 ++) { 
 4204:     fprintf(ficgp,"\nset out \"%s%d.png\" \n",subdirf2(optionfilefiname,"e"),k1);
 4205:     fprintf(ficgp,"set ylabel \"Years\" \nset ter png small size 320, 240\nplot [%.f:%.f] ",ageminpar,fage);
 4206:     
 4207:     for (i=1; i<= nlstate+1 ; i ++) {
 4208:       k=2*i;
 4209:       fprintf(ficgp,"\"%s\" every :::%d::%d u 1:2 \"\%%lf",subdirf2(fileres,"t"),k1-1,k1-1);
 4210:       for (j=1; j<= nlstate+1 ; j ++) {
 4211: 	if (j==i) fprintf(ficgp," \%%lf (\%%lf)");
 4212: 	else fprintf(ficgp," \%%*lf (\%%*lf)");
 4213:       }   
 4214:       if (i== 1) fprintf(ficgp,"\" t\"TLE\" w l ,");
 4215:       else fprintf(ficgp,"\" t\"LE in state (%d)\" w l ,",i-1);
 4216:       fprintf(ficgp,"\"%s\" every :::%d::%d u 1:($2-$3*2) \"\%%lf",subdirf2(fileres,"t"),k1-1,k1-1);
 4217:       for (j=1; j<= nlstate+1 ; j ++) {
 4218: 	if (j==i) fprintf(ficgp," \%%lf (\%%lf)");
 4219: 	else fprintf(ficgp," \%%*lf (\%%*lf)");
 4220:       }   
 4221:       fprintf(ficgp,"\" t\"\" w l lt 0,");
 4222:       fprintf(ficgp,"\"%s\" every :::%d::%d u 1:($2+$3*2) \"\%%lf",subdirf2(fileres,"t"),k1-1,k1-1);
 4223:       for (j=1; j<= nlstate+1 ; j ++) {
 4224: 	if (j==i) fprintf(ficgp," \%%lf (\%%lf)");
 4225: 	else fprintf(ficgp," \%%*lf (\%%*lf)");
 4226:       }   
 4227:       if (i== (nlstate+1)) fprintf(ficgp,"\" t\"\" w l lt 0");
 4228:       else fprintf(ficgp,"\" t\"\" w l lt 0,");
 4229:     }
 4230:   }
 4231:   
 4232:   /*3eme*/
 4233:   
 4234:   for (k1=1; k1<= m ; k1 ++) { 
 4235:     for (cpt=1; cpt<= nlstate ; cpt ++) {
 4236:       /*       k=2+nlstate*(2*cpt-2); */
 4237:       k=2+(nlstate+1)*(cpt-1);
 4238:       fprintf(ficgp,"\nset out \"%s%d%d.png\" \n",subdirf2(optionfilefiname,"exp"),cpt,k1);
 4239:       fprintf(ficgp,"set ter png small size 320, 240\n\
 4240: plot [%.f:%.f] \"%s\" every :::%d::%d u 1:%d t \"e%d1\" w l",ageminpar,fage,subdirf2(fileres,"e"),k1-1,k1-1,k,cpt);
 4241:       /*fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d-2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);
 4242: 	for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");
 4243: 	fprintf(ficgp,"\" t \"e%d1\" w l",cpt);
 4244: 	fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d+2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);
 4245: 	for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");
 4246: 	fprintf(ficgp,"\" t \"e%d1\" w l",cpt);
 4247: 	
 4248:       */
 4249:       for (i=1; i< nlstate ; i ++) {
 4250: 	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);
 4251: 	/*	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);*/
 4252: 	
 4253:       } 
 4254:       fprintf(ficgp," ,\"%s\" every :::%d::%d u 1:%d t \"e%d.\" w l",subdirf2(fileres,"e"),k1-1,k1-1,k+nlstate,cpt);
 4255:     }
 4256:   }
 4257:   
 4258:   /* CV preval stable (period) */
 4259:   for (k1=1; k1<= m ; k1 ++) { /* For each multivariate if any */
 4260:     for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state */
 4261:       k=3;
 4262:       fprintf(ficgp,"\n#\n#\n#CV preval stable (period): 'pij' files, cov=%d state=%d",k1, cpt);
 4263:       fprintf(ficgp,"\nset out \"%s%d_%d.png\" \n",subdirf2(optionfilefiname,"p"),cpt,k1);
 4264:       fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \n\
 4265: set ter png small size 320, 240\n\
 4266: unset log y\n\
 4267: plot [%.f:%.f]  ", ageminpar, agemaxpar);
 4268:       for (i=1; i<= nlstate ; i ++){
 4269: 	if(i==1)
 4270: 	  fprintf(ficgp,"\"%s\"",subdirf2(fileres,"pij"));
 4271: 	else
 4272: 	  fprintf(ficgp,", '' ");
 4273: 	l=(nlstate+ndeath)*(i-1)+1;
 4274: 	fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l);
 4275: 	for (j=1; j<= (nlstate-1) ; j ++)
 4276: 	  fprintf(ficgp,"+$%d",k+l+j);
 4277: 	fprintf(ficgp,")) t \"prev(%d,%d)\" w l",i,cpt);
 4278:       } /* nlstate */
 4279:       fprintf(ficgp,"\n");
 4280:     } /* end cpt state*/ 
 4281:   } /* end covariate */  
 4282:   
 4283:   /* proba elementaires */
 4284:   for(i=1,jk=1; i <=nlstate; i++){
 4285:     for(k=1; k <=(nlstate+ndeath); k++){
 4286:       if (k != i) {
 4287: 	for(j=1; j <=ncovmodel; j++){
 4288: 	  fprintf(ficgp,"p%d=%f ",jk,p[jk]);
 4289: 	  jk++; 
 4290: 	  fprintf(ficgp,"\n");
 4291: 	}
 4292:       }
 4293:     }
 4294:    }
 4295:   /*goto avoid;*/
 4296:    for(ng=1; ng<=2;ng++){ /* Number of graphics: first is probabilities second is incidence per year*/
 4297:      for(jk=1; jk <=m; jk++) {
 4298:        fprintf(ficgp,"\nset out \"%s%d_%d.png\" \n",subdirf2(optionfilefiname,"pe"),jk,ng); 
 4299:        if (ng==2)
 4300: 	 fprintf(ficgp,"\nset ylabel \"Quasi-incidence per year\"\n");
 4301:        else
 4302: 	 fprintf(ficgp,"\nset title \"Probability\"\n");
 4303:        fprintf(ficgp,"\nset ter png small size 320, 240\nset log y\nplot  [%.f:%.f] ",ageminpar,agemaxpar);
 4304:        i=1;
 4305:        for(k2=1; k2<=nlstate; k2++) {
 4306: 	 k3=i;
 4307: 	 for(k=1; k<=(nlstate+ndeath); k++) {
 4308: 	   if (k != k2){
 4309: 	     if(ng==2)
 4310: 	       fprintf(ficgp," %f*exp(p%d+p%d*x",YEARM/stepm,i,i+1);
 4311: 	     else
 4312: 	       fprintf(ficgp," exp(p%d+p%d*x",i,i+1);
 4313: 	     ij=1;/* To be checked else nbcode[0][0] wrong */
 4314: 	     for(j=3; j <=ncovmodel; j++) {
 4315: 	       /* if(((j-2)==Tage[ij]) &&(ij <=cptcovage)) { /\* Bug valgrind *\/ */
 4316: 	       /* 	 /\*fprintf(ficgp,"+p%d*%d*x",i+j-1,nbcode[Tvar[j-2]][codtab[jk][Tvar[j-2]]]);*\/ */
 4317: 	       /* 	 ij++; */
 4318: 	       /* } */
 4319: 	       /* else */
 4320: 		 fprintf(ficgp,"+p%d*%d",i+j-1,nbcode[Tvar[j-2]][codtab[jk][j-2]]);
 4321: 	     }
 4322: 	     fprintf(ficgp,")/(1");
 4323: 	     
 4324: 	     for(k1=1; k1 <=nlstate; k1++){   
 4325: 	       fprintf(ficgp,"+exp(p%d+p%d*x",k3+(k1-1)*ncovmodel,k3+(k1-1)*ncovmodel+1);
 4326: 	       ij=1;
 4327: 	       for(j=3; j <=ncovmodel; j++){
 4328: 		 /* if(((j-2)==Tage[ij]) &&(ij <=cptcovage)) { */
 4329: 		 /*   fprintf(ficgp,"+p%d*%d*x",k3+(k1-1)*ncovmodel+1+j-2,nbcode[Tvar[j-2]][codtab[jk][Tvar[j-2]]]); */
 4330: 		 /*   ij++; */
 4331: 		 /* } */
 4332: 		 /* else */
 4333: 		   fprintf(ficgp,"+p%d*%d",k3+(k1-1)*ncovmodel+1+j-2,nbcode[Tvar[j-2]][codtab[jk][j-2]]);
 4334: 	       }
 4335: 	       fprintf(ficgp,")");
 4336: 	     }
 4337: 	     fprintf(ficgp,") t \"p%d%d\" ", k2,k);
 4338: 	     if ((k+k2)!= (nlstate*2+ndeath)) fprintf(ficgp,",");
 4339: 	     i=i+ncovmodel;
 4340: 	   }
 4341: 	 } /* end k */
 4342:        } /* end k2 */
 4343:      } /* end jk */
 4344:    } /* end ng */
 4345:  avoid:
 4346:    fflush(ficgp); 
 4347: }  /* end gnuplot */
 4348: 
 4349: 
 4350: /*************** Moving average **************/
 4351: int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav){
 4352: 
 4353:   int i, cpt, cptcod;
 4354:   int modcovmax =1;
 4355:   int mobilavrange, mob;
 4356:   double age;
 4357: 
 4358:   modcovmax=2*cptcoveff;/* Max number of modalities. We suppose 
 4359: 			   a covariate has 2 modalities */
 4360:   if (cptcovn<1) modcovmax=1; /* At least 1 pass */
 4361: 
 4362:   if(mobilav==1||mobilav ==3 ||mobilav==5 ||mobilav== 7){
 4363:     if(mobilav==1) mobilavrange=5; /* default */
 4364:     else mobilavrange=mobilav;
 4365:     for (age=bage; age<=fage; age++)
 4366:       for (i=1; i<=nlstate;i++)
 4367: 	for (cptcod=1;cptcod<=modcovmax;cptcod++)
 4368: 	  mobaverage[(int)age][i][cptcod]=probs[(int)age][i][cptcod];
 4369:     /* We keep the original values on the extreme ages bage, fage and for 
 4370:        fage+1 and bage-1 we use a 3 terms moving average; for fage+2 bage+2
 4371:        we use a 5 terms etc. until the borders are no more concerned. 
 4372:     */ 
 4373:     for (mob=3;mob <=mobilavrange;mob=mob+2){
 4374:       for (age=bage+(mob-1)/2; age<=fage-(mob-1)/2; age++){
 4375: 	for (i=1; i<=nlstate;i++){
 4376: 	  for (cptcod=1;cptcod<=modcovmax;cptcod++){
 4377: 	    mobaverage[(int)age][i][cptcod] =probs[(int)age][i][cptcod];
 4378: 	      for (cpt=1;cpt<=(mob-1)/2;cpt++){
 4379: 		mobaverage[(int)age][i][cptcod] +=probs[(int)age-cpt][i][cptcod];
 4380: 		mobaverage[(int)age][i][cptcod] +=probs[(int)age+cpt][i][cptcod];
 4381: 	      }
 4382: 	    mobaverage[(int)age][i][cptcod]=mobaverage[(int)age][i][cptcod]/mob;
 4383: 	  }
 4384: 	}
 4385:       }/* end age */
 4386:     }/* end mob */
 4387:   }else return -1;
 4388:   return 0;
 4389: }/* End movingaverage */
 4390: 
 4391: 
 4392: /************** Forecasting ******************/
 4393: 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){
 4394:   /* proj1, year, month, day of starting projection 
 4395:      agemin, agemax range of age
 4396:      dateprev1 dateprev2 range of dates during which prevalence is computed
 4397:      anproj2 year of en of projection (same day and month as proj1).
 4398:   */
 4399:   int yearp, stepsize, hstepm, nhstepm, j, k, c, cptcod, i, h, i1;
 4400:   int *popage;
 4401:   double agec; /* generic age */
 4402:   double agelim, ppij, yp,yp1,yp2,jprojmean,mprojmean,anprojmean;
 4403:   double *popeffectif,*popcount;
 4404:   double ***p3mat;
 4405:   double ***mobaverage;
 4406:   char fileresf[FILENAMELENGTH];
 4407: 
 4408:   agelim=AGESUP;
 4409:   prevalence(probs, ageminpar, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass);
 4410:  
 4411:   strcpy(fileresf,"f"); 
 4412:   strcat(fileresf,fileres);
 4413:   if((ficresf=fopen(fileresf,"w"))==NULL) {
 4414:     printf("Problem with forecast resultfile: %s\n", fileresf);
 4415:     fprintf(ficlog,"Problem with forecast resultfile: %s\n", fileresf);
 4416:   }
 4417:   printf("Computing forecasting: result on file '%s' \n", fileresf);
 4418:   fprintf(ficlog,"Computing forecasting: result on file '%s' \n", fileresf);
 4419: 
 4420:   if (cptcoveff==0) ncodemax[cptcoveff]=1;
 4421: 
 4422:   if (mobilav!=0) {
 4423:     mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
 4424:     if (movingaverage(probs, ageminpar, fage, mobaverage,mobilav)!=0){
 4425:       fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
 4426:       printf(" Error in movingaverage mobilav=%d\n",mobilav);
 4427:     }
 4428:   }
 4429: 
 4430:   stepsize=(int) (stepm+YEARM-1)/YEARM;
 4431:   if (stepm<=12) stepsize=1;
 4432:   if(estepm < stepm){
 4433:     printf ("Problem %d lower than %d\n",estepm, stepm);
 4434:   }
 4435:   else  hstepm=estepm;   
 4436: 
 4437:   hstepm=hstepm/stepm; 
 4438:   yp1=modf(dateintmean,&yp);/* extracts integral of datemean in yp  and
 4439:                                fractional in yp1 */
 4440:   anprojmean=yp;
 4441:   yp2=modf((yp1*12),&yp);
 4442:   mprojmean=yp;
 4443:   yp1=modf((yp2*30.5),&yp);
 4444:   jprojmean=yp;
 4445:   if(jprojmean==0) jprojmean=1;
 4446:   if(mprojmean==0) jprojmean=1;
 4447: 
 4448:   i1=cptcoveff;
 4449:   if (cptcovn < 1){i1=1;}
 4450:   
 4451:   fprintf(ficresf,"# Mean day of interviews %.lf/%.lf/%.lf (%.2f) between %.2f and %.2f \n",jprojmean,mprojmean,anprojmean,dateintmean,dateprev1,dateprev2); 
 4452:   
 4453:   fprintf(ficresf,"#****** Routine prevforecast **\n");
 4454: 
 4455: /* 	      if (h==(int)(YEARM*yearp)){ */
 4456:   for(cptcov=1, k=0;cptcov<=i1;cptcov++){
 4457:     for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){
 4458:       k=k+1;
 4459:       fprintf(ficresf,"\n#******");
 4460:       for(j=1;j<=cptcoveff;j++) {
 4461: 	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]]);
 4462:       }
 4463:       fprintf(ficresf,"******\n");
 4464:       fprintf(ficresf,"# Covariate valuofcovar yearproj age");
 4465:       for(j=1; j<=nlstate+ndeath;j++){ 
 4466: 	for(i=1; i<=nlstate;i++) 	      
 4467:           fprintf(ficresf," p%d%d",i,j);
 4468: 	fprintf(ficresf," p.%d",j);
 4469:       }
 4470:       for (yearp=0; yearp<=(anproj2-anproj1);yearp +=stepsize) { 
 4471: 	fprintf(ficresf,"\n");
 4472: 	fprintf(ficresf,"\n# Forecasting at date %.lf/%.lf/%.lf ",jproj1,mproj1,anproj1+yearp);   
 4473: 
 4474:      	for (agec=fage; agec>=(ageminpar-1); agec--){ 
 4475: 	  nhstepm=(int) rint((agelim-agec)*YEARM/stepm); 
 4476: 	  nhstepm = nhstepm/hstepm; 
 4477: 	  p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
 4478: 	  oldm=oldms;savm=savms;
 4479: 	  hpxij(p3mat,nhstepm,agec,hstepm,p,nlstate,stepm,oldm,savm, k);  
 4480: 	
 4481: 	  for (h=0; h<=nhstepm; h++){
 4482: 	    if (h*hstepm/YEARM*stepm ==yearp) {
 4483:               fprintf(ficresf,"\n");
 4484:               for(j=1;j<=cptcoveff;j++) 
 4485:                 fprintf(ficresf,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
 4486: 	      fprintf(ficresf,"%.f %.f ",anproj1+yearp,agec+h*hstepm/YEARM*stepm);
 4487: 	    } 
 4488: 	    for(j=1; j<=nlstate+ndeath;j++) {
 4489: 	      ppij=0.;
 4490: 	      for(i=1; i<=nlstate;i++) {
 4491: 		if (mobilav==1) 
 4492: 		  ppij=ppij+p3mat[i][j][h]*mobaverage[(int)agec][i][cptcod];
 4493: 		else {
 4494: 		  ppij=ppij+p3mat[i][j][h]*probs[(int)(agec)][i][cptcod];
 4495: 		}
 4496: 		if (h*hstepm/YEARM*stepm== yearp) {
 4497: 		  fprintf(ficresf," %.3f", p3mat[i][j][h]);
 4498: 		}
 4499: 	      } /* end i */
 4500: 	      if (h*hstepm/YEARM*stepm==yearp) {
 4501: 		fprintf(ficresf," %.3f", ppij);
 4502: 	      }
 4503: 	    }/* end j */
 4504: 	  } /* end h */
 4505: 	  free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
 4506: 	} /* end agec */
 4507:       } /* end yearp */
 4508:     } /* end cptcod */
 4509:   } /* end  cptcov */
 4510:        
 4511:   if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
 4512: 
 4513:   fclose(ficresf);
 4514: }
 4515: 
 4516: /************** Forecasting *****not tested NB*************/
 4517: 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){
 4518:   
 4519:   int cpt, stepsize, hstepm, nhstepm, j,k,c, cptcod, i,h;
 4520:   int *popage;
 4521:   double calagedatem, agelim, kk1, kk2;
 4522:   double *popeffectif,*popcount;
 4523:   double ***p3mat,***tabpop,***tabpopprev;
 4524:   double ***mobaverage;
 4525:   char filerespop[FILENAMELENGTH];
 4526: 
 4527:   tabpop= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
 4528:   tabpopprev= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
 4529:   agelim=AGESUP;
 4530:   calagedatem=(anpyram+mpyram/12.+jpyram/365.-dateintmean)*YEARM;
 4531:   
 4532:   prevalence(probs, ageminpar, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass);
 4533:   
 4534:   
 4535:   strcpy(filerespop,"pop"); 
 4536:   strcat(filerespop,fileres);
 4537:   if((ficrespop=fopen(filerespop,"w"))==NULL) {
 4538:     printf("Problem with forecast resultfile: %s\n", filerespop);
 4539:     fprintf(ficlog,"Problem with forecast resultfile: %s\n", filerespop);
 4540:   }
 4541:   printf("Computing forecasting: result on file '%s' \n", filerespop);
 4542:   fprintf(ficlog,"Computing forecasting: result on file '%s' \n", filerespop);
 4543: 
 4544:   if (cptcoveff==0) ncodemax[cptcoveff]=1;
 4545: 
 4546:   if (mobilav!=0) {
 4547:     mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
 4548:     if (movingaverage(probs, ageminpar, fage, mobaverage,mobilav)!=0){
 4549:       fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
 4550:       printf(" Error in movingaverage mobilav=%d\n",mobilav);
 4551:     }
 4552:   }
 4553: 
 4554:   stepsize=(int) (stepm+YEARM-1)/YEARM;
 4555:   if (stepm<=12) stepsize=1;
 4556:   
 4557:   agelim=AGESUP;
 4558:   
 4559:   hstepm=1;
 4560:   hstepm=hstepm/stepm; 
 4561:   
 4562:   if (popforecast==1) {
 4563:     if((ficpop=fopen(popfile,"r"))==NULL) {
 4564:       printf("Problem with population file : %s\n",popfile);exit(0);
 4565:       fprintf(ficlog,"Problem with population file : %s\n",popfile);exit(0);
 4566:     } 
 4567:     popage=ivector(0,AGESUP);
 4568:     popeffectif=vector(0,AGESUP);
 4569:     popcount=vector(0,AGESUP);
 4570:     
 4571:     i=1;   
 4572:     while ((c=fscanf(ficpop,"%d %lf\n",&popage[i],&popcount[i])) != EOF) i=i+1;
 4573:    
 4574:     imx=i;
 4575:     for (i=1; i<imx;i++) popeffectif[popage[i]]=popcount[i];
 4576:   }
 4577: 
 4578:   for(cptcov=1,k=0;cptcov<=i2;cptcov++){
 4579:    for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){
 4580:       k=k+1;
 4581:       fprintf(ficrespop,"\n#******");
 4582:       for(j=1;j<=cptcoveff;j++) {
 4583: 	fprintf(ficrespop," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
 4584:       }
 4585:       fprintf(ficrespop,"******\n");
 4586:       fprintf(ficrespop,"# Age");
 4587:       for(j=1; j<=nlstate+ndeath;j++) fprintf(ficrespop," P.%d",j);
 4588:       if (popforecast==1)  fprintf(ficrespop," [Population]");
 4589:       
 4590:       for (cpt=0; cpt<=0;cpt++) { 
 4591: 	fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);   
 4592: 	
 4593:      	for (agedeb=(fage-((int)calagedatem %12/12.)); agedeb>=(ageminpar-((int)calagedatem %12)/12.); agedeb--){ 
 4594: 	  nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); 
 4595: 	  nhstepm = nhstepm/hstepm; 
 4596: 	  
 4597: 	  p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
 4598: 	  oldm=oldms;savm=savms;
 4599: 	  hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);  
 4600: 	
 4601: 	  for (h=0; h<=nhstepm; h++){
 4602: 	    if (h==(int) (calagedatem+YEARM*cpt)) {
 4603: 	      fprintf(ficrespop,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm);
 4604: 	    } 
 4605: 	    for(j=1; j<=nlstate+ndeath;j++) {
 4606: 	      kk1=0.;kk2=0;
 4607: 	      for(i=1; i<=nlstate;i++) {	      
 4608: 		if (mobilav==1) 
 4609: 		  kk1=kk1+p3mat[i][j][h]*mobaverage[(int)agedeb+1][i][cptcod];
 4610: 		else {
 4611: 		  kk1=kk1+p3mat[i][j][h]*probs[(int)(agedeb+1)][i][cptcod];
 4612: 		}
 4613: 	      }
 4614: 	      if (h==(int)(calagedatem+12*cpt)){
 4615: 		tabpop[(int)(agedeb)][j][cptcod]=kk1;
 4616: 		  /*fprintf(ficrespop," %.3f", kk1);
 4617: 		    if (popforecast==1) fprintf(ficrespop," [%.f]", kk1*popeffectif[(int)agedeb+1]);*/
 4618: 	      }
 4619: 	    }
 4620: 	    for(i=1; i<=nlstate;i++){
 4621: 	      kk1=0.;
 4622: 		for(j=1; j<=nlstate;j++){
 4623: 		  kk1= kk1+tabpop[(int)(agedeb)][j][cptcod]; 
 4624: 		}
 4625: 		  tabpopprev[(int)(agedeb)][i][cptcod]=tabpop[(int)(agedeb)][i][cptcod]/kk1*popeffectif[(int)(agedeb+(calagedatem+12*cpt)*hstepm/YEARM*stepm-1)];
 4626: 	    }
 4627: 
 4628: 	    if (h==(int)(calagedatem+12*cpt)) for(j=1; j<=nlstate;j++) 
 4629: 	      fprintf(ficrespop," %15.2f",tabpopprev[(int)(agedeb+1)][j][cptcod]);
 4630: 	  }
 4631: 	  free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
 4632: 	}
 4633:       }
 4634:  
 4635:   /******/
 4636: 
 4637:       for (cpt=1; cpt<=(anpyram1-anpyram);cpt++) { 
 4638: 	fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);   
 4639: 	for (agedeb=(fage-((int)calagedatem %12/12.)); agedeb>=(ageminpar-((int)calagedatem %12)/12.); agedeb--){ 
 4640: 	  nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); 
 4641: 	  nhstepm = nhstepm/hstepm; 
 4642: 	  
 4643: 	  p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
 4644: 	  oldm=oldms;savm=savms;
 4645: 	  hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);  
 4646: 	  for (h=0; h<=nhstepm; h++){
 4647: 	    if (h==(int) (calagedatem+YEARM*cpt)) {
 4648: 	      fprintf(ficresf,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm);
 4649: 	    } 
 4650: 	    for(j=1; j<=nlstate+ndeath;j++) {
 4651: 	      kk1=0.;kk2=0;
 4652: 	      for(i=1; i<=nlstate;i++) {	      
 4653: 		kk1=kk1+p3mat[i][j][h]*tabpopprev[(int)agedeb+1][i][cptcod];	
 4654: 	      }
 4655: 	      if (h==(int)(calagedatem+12*cpt)) fprintf(ficresf," %15.2f", kk1);	
 4656: 	    }
 4657: 	  }
 4658: 	  free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
 4659: 	}
 4660:       }
 4661:    } 
 4662:   }
 4663:  
 4664:   if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
 4665: 
 4666:   if (popforecast==1) {
 4667:     free_ivector(popage,0,AGESUP);
 4668:     free_vector(popeffectif,0,AGESUP);
 4669:     free_vector(popcount,0,AGESUP);
 4670:   }
 4671:   free_ma3x(tabpop,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
 4672:   free_ma3x(tabpopprev,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
 4673:   fclose(ficrespop);
 4674: } /* End of popforecast */
 4675: 
 4676: int fileappend(FILE *fichier, char *optionfich)
 4677: {
 4678:   if((fichier=fopen(optionfich,"a"))==NULL) {
 4679:     printf("Problem with file: %s\n", optionfich);
 4680:     fprintf(ficlog,"Problem with file: %s\n", optionfich);
 4681:     return (0);
 4682:   }
 4683:   fflush(fichier);
 4684:   return (1);
 4685: }
 4686: 
 4687: 
 4688: /**************** function prwizard **********************/
 4689: void prwizard(int ncovmodel, int nlstate, int ndeath,  char model[], FILE *ficparo)
 4690: {
 4691: 
 4692:   /* Wizard to print covariance matrix template */
 4693: 
 4694:   char ca[32], cb[32], cc[32];
 4695:   int i,j, k, l, li, lj, lk, ll, jj, npar, itimes;
 4696:   int numlinepar;
 4697: 
 4698:   printf("# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
 4699:   fprintf(ficparo,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
 4700:   for(i=1; i <=nlstate; i++){
 4701:     jj=0;
 4702:     for(j=1; j <=nlstate+ndeath; j++){
 4703:       if(j==i) continue;
 4704:       jj++;
 4705:       /*ca[0]= k+'a'-1;ca[1]='\0';*/
 4706:       printf("%1d%1d",i,j);
 4707:       fprintf(ficparo,"%1d%1d",i,j);
 4708:       for(k=1; k<=ncovmodel;k++){
 4709: 	/* 	  printf(" %lf",param[i][j][k]); */
 4710: 	/* 	  fprintf(ficparo," %lf",param[i][j][k]); */
 4711: 	printf(" 0.");
 4712: 	fprintf(ficparo," 0.");
 4713:       }
 4714:       printf("\n");
 4715:       fprintf(ficparo,"\n");
 4716:     }
 4717:   }
 4718:   printf("# Scales (for hessian or gradient estimation)\n");
 4719:   fprintf(ficparo,"# Scales (for hessian or gradient estimation)\n");
 4720:   npar= (nlstate+ndeath-1)*nlstate*ncovmodel; /* Number of parameters*/ 
 4721:   for(i=1; i <=nlstate; i++){
 4722:     jj=0;
 4723:     for(j=1; j <=nlstate+ndeath; j++){
 4724:       if(j==i) continue;
 4725:       jj++;
 4726:       fprintf(ficparo,"%1d%1d",i,j);
 4727:       printf("%1d%1d",i,j);
 4728:       fflush(stdout);
 4729:       for(k=1; k<=ncovmodel;k++){
 4730: 	/* 	printf(" %le",delti3[i][j][k]); */
 4731: 	/* 	fprintf(ficparo," %le",delti3[i][j][k]); */
 4732: 	printf(" 0.");
 4733: 	fprintf(ficparo," 0.");
 4734:       }
 4735:       numlinepar++;
 4736:       printf("\n");
 4737:       fprintf(ficparo,"\n");
 4738:     }
 4739:   }
 4740:   printf("# Covariance matrix\n");
 4741: /* # 121 Var(a12)\n\ */
 4742: /* # 122 Cov(b12,a12) Var(b12)\n\ */
 4743: /* # 131 Cov(a13,a12) Cov(a13,b12, Var(a13)\n\ */
 4744: /* # 132 Cov(b13,a12) Cov(b13,b12, Cov(b13,a13) Var(b13)\n\ */
 4745: /* # 212 Cov(a21,a12) Cov(a21,b12, Cov(a21,a13) Cov(a21,b13) Var(a21)\n\ */
 4746: /* # 212 Cov(b21,a12) Cov(b21,b12, Cov(b21,a13) Cov(b21,b13) Cov(b21,a21) Var(b21)\n\ */
 4747: /* # 232 Cov(a23,a12) Cov(a23,b12, Cov(a23,a13) Cov(a23,b13) Cov(a23,a21) Cov(a23,b21) Var(a23)\n\ */
 4748: /* # 232 Cov(b23,a12) Cov(b23,b12) ... Var (b23)\n" */
 4749:   fflush(stdout);
 4750:   fprintf(ficparo,"# Covariance matrix\n");
 4751:   /* # 121 Var(a12)\n\ */
 4752:   /* # 122 Cov(b12,a12) Var(b12)\n\ */
 4753:   /* #   ...\n\ */
 4754:   /* # 232 Cov(b23,a12)  Cov(b23,b12) ... Var (b23)\n" */
 4755:   
 4756:   for(itimes=1;itimes<=2;itimes++){
 4757:     jj=0;
 4758:     for(i=1; i <=nlstate; i++){
 4759:       for(j=1; j <=nlstate+ndeath; j++){
 4760: 	if(j==i) continue;
 4761: 	for(k=1; k<=ncovmodel;k++){
 4762: 	  jj++;
 4763: 	  ca[0]= k+'a'-1;ca[1]='\0';
 4764: 	  if(itimes==1){
 4765: 	    printf("#%1d%1d%d",i,j,k);
 4766: 	    fprintf(ficparo,"#%1d%1d%d",i,j,k);
 4767: 	  }else{
 4768: 	    printf("%1d%1d%d",i,j,k);
 4769: 	    fprintf(ficparo,"%1d%1d%d",i,j,k);
 4770: 	    /* 	printf(" %.5le",matcov[i][j]); */
 4771: 	  }
 4772: 	  ll=0;
 4773: 	  for(li=1;li <=nlstate; li++){
 4774: 	    for(lj=1;lj <=nlstate+ndeath; lj++){
 4775: 	      if(lj==li) continue;
 4776: 	      for(lk=1;lk<=ncovmodel;lk++){
 4777: 		ll++;
 4778: 		if(ll<=jj){
 4779: 		  cb[0]= lk +'a'-1;cb[1]='\0';
 4780: 		  if(ll<jj){
 4781: 		    if(itimes==1){
 4782: 		      printf(" Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
 4783: 		      fprintf(ficparo," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
 4784: 		    }else{
 4785: 		      printf(" 0.");
 4786: 		      fprintf(ficparo," 0.");
 4787: 		    }
 4788: 		  }else{
 4789: 		    if(itimes==1){
 4790: 		      printf(" Var(%s%1d%1d)",ca,i,j);
 4791: 		      fprintf(ficparo," Var(%s%1d%1d)",ca,i,j);
 4792: 		    }else{
 4793: 		      printf(" 0.");
 4794: 		      fprintf(ficparo," 0.");
 4795: 		    }
 4796: 		  }
 4797: 		}
 4798: 	      } /* end lk */
 4799: 	    } /* end lj */
 4800: 	  } /* end li */
 4801: 	  printf("\n");
 4802: 	  fprintf(ficparo,"\n");
 4803: 	  numlinepar++;
 4804: 	} /* end k*/
 4805:       } /*end j */
 4806:     } /* end i */
 4807:   } /* end itimes */
 4808: 
 4809: } /* end of prwizard */
 4810: /******************* Gompertz Likelihood ******************************/
 4811: double gompertz(double x[])
 4812: { 
 4813:   double A,B,L=0.0,sump=0.,num=0.;
 4814:   int i,n=0; /* n is the size of the sample */
 4815: 
 4816:   for (i=0;i<=imx-1 ; i++) {
 4817:     sump=sump+weight[i];
 4818:     /*    sump=sump+1;*/
 4819:     num=num+1;
 4820:   }
 4821:  
 4822:  
 4823:   /* for (i=0; i<=imx; i++) 
 4824:      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]);*/
 4825: 
 4826:   for (i=1;i<=imx ; i++)
 4827:     {
 4828:       if (cens[i] == 1 && wav[i]>1)
 4829: 	A=-x[1]/(x[2])*(exp(x[2]*(agecens[i]-agegomp))-exp(x[2]*(ageexmed[i]-agegomp)));
 4830:       
 4831:       if (cens[i] == 0 && wav[i]>1)
 4832: 	A=-x[1]/(x[2])*(exp(x[2]*(agedc[i]-agegomp))-exp(x[2]*(ageexmed[i]-agegomp)))
 4833: 	     +log(x[1]/YEARM)+x[2]*(agedc[i]-agegomp)+log(YEARM);  
 4834:       
 4835:       /*if (wav[i] > 1 && agecens[i] > 15) {*/ /* ??? */
 4836:       if (wav[i] > 1 ) { /* ??? */
 4837: 	L=L+A*weight[i];
 4838: 	/* 	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]);*/
 4839:       }
 4840:     }
 4841: 
 4842:  /*printf("x1=%2.9f x2=%2.9f x3=%2.9f L=%f\n",x[1],x[2],x[3],L);*/
 4843:  
 4844:   return -2*L*num/sump;
 4845: }
 4846: 
 4847: #ifdef GSL
 4848: /******************* Gompertz_f Likelihood ******************************/
 4849: double gompertz_f(const gsl_vector *v, void *params)
 4850: { 
 4851:   double A,B,LL=0.0,sump=0.,num=0.;
 4852:   double *x= (double *) v->data;
 4853:   int i,n=0; /* n is the size of the sample */
 4854: 
 4855:   for (i=0;i<=imx-1 ; i++) {
 4856:     sump=sump+weight[i];
 4857:     /*    sump=sump+1;*/
 4858:     num=num+1;
 4859:   }
 4860:  
 4861:  
 4862:   /* for (i=0; i<=imx; i++) 
 4863:      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]);*/
 4864:   printf("x[0]=%lf x[1]=%lf\n",x[0],x[1]);
 4865:   for (i=1;i<=imx ; i++)
 4866:     {
 4867:       if (cens[i] == 1 && wav[i]>1)
 4868: 	A=-x[0]/(x[1])*(exp(x[1]*(agecens[i]-agegomp))-exp(x[1]*(ageexmed[i]-agegomp)));
 4869:       
 4870:       if (cens[i] == 0 && wav[i]>1)
 4871: 	A=-x[0]/(x[1])*(exp(x[1]*(agedc[i]-agegomp))-exp(x[1]*(ageexmed[i]-agegomp)))
 4872: 	     +log(x[0]/YEARM)+x[1]*(agedc[i]-agegomp)+log(YEARM);  
 4873:       
 4874:       /*if (wav[i] > 1 && agecens[i] > 15) {*/ /* ??? */
 4875:       if (wav[i] > 1 ) { /* ??? */
 4876: 	LL=LL+A*weight[i];
 4877: 	/* 	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]);*/
 4878:       }
 4879:     }
 4880: 
 4881:  /*printf("x1=%2.9f x2=%2.9f x3=%2.9f L=%f\n",x[1],x[2],x[3],L);*/
 4882:   printf("x[0]=%lf x[1]=%lf -2*LL*num/sump=%lf\n",x[0],x[1],-2*LL*num/sump);
 4883:  
 4884:   return -2*LL*num/sump;
 4885: }
 4886: #endif
 4887: 
 4888: /******************* Printing html file ***********/
 4889: void printinghtmlmort(char fileres[], char title[], char datafile[], int firstpass, \
 4890: 		  int lastpass, int stepm, int weightopt, char model[],\
 4891: 		  int imx,  double p[],double **matcov,double agemortsup){
 4892:   int i,k;
 4893: 
 4894:   fprintf(fichtm,"<ul><li><h4>Result files </h4>\n Force of mortality. Parameters of the Gompertz fit (with confidence interval in brackets):<br>");
 4895:   fprintf(fichtm,"  mu(age) =%lf*exp(%lf*(age-%d)) per year<br><br>",p[1],p[2],agegomp);
 4896:   for (i=1;i<=2;i++) 
 4897:     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]));
 4898:   fprintf(fichtm,"<br><br><img src=\"graphmort.png\">");
 4899:   fprintf(fichtm,"</ul>");
 4900: 
 4901: fprintf(fichtm,"<ul><li><h4>Life table</h4>\n <br>");
 4902: 
 4903:  fprintf(fichtm,"\nAge   l<inf>x</inf>     q<inf>x</inf> d(x,x+1)    L<inf>x</inf>     T<inf>x</inf>     e<infx</inf><br>");
 4904: 
 4905:  for (k=agegomp;k<(agemortsup-2);k++) 
 4906:    fprintf(fichtm,"%d %.0lf %lf %.0lf %.0lf %.0lf %lf<br>\n",k,lsurv[k],p[1]*exp(p[2]*(k-agegomp)),(p[1]*exp(p[2]*(k-agegomp)))*lsurv[k],lpop[k],tpop[k],tpop[k]/lsurv[k]);
 4907: 
 4908:  
 4909:   fflush(fichtm);
 4910: }
 4911: 
 4912: /******************* Gnuplot file **************/
 4913: void printinggnuplotmort(char fileres[], char optionfilefiname[], double ageminpar, double agemaxpar, double fage , char pathc[], double p[]){
 4914: 
 4915:   char dirfileres[132],optfileres[132];
 4916:   int m,cpt,k1,i,k,j,jk,k2,k3,ij,l;
 4917:   int ng;
 4918: 
 4919: 
 4920:   /*#ifdef windows */
 4921:   fprintf(ficgp,"cd \"%s\" \n",pathc);
 4922:     /*#endif */
 4923: 
 4924: 
 4925:   strcpy(dirfileres,optionfilefiname);
 4926:   strcpy(optfileres,"vpl");
 4927:   fprintf(ficgp,"set out \"graphmort.png\"\n "); 
 4928:   fprintf(ficgp,"set xlabel \"Age\"\n set ylabel \"Force of mortality (per year)\" \n "); 
 4929:   fprintf(ficgp, "set ter png small size 320, 240\n set log y\n"); 
 4930:   /* fprintf(ficgp, "set size 0.65,0.65\n"); */
 4931:   fprintf(ficgp,"plot [%d:100] %lf*exp(%lf*(x-%d))",agegomp,p[1],p[2],agegomp);
 4932: 
 4933: } 
 4934: 
 4935: int readdata(char datafile[], int firstobs, int lastobs, int *imax)
 4936: {
 4937: 
 4938:   /*-------- data file ----------*/
 4939:   FILE *fic;
 4940:   char dummy[]="                         ";
 4941:   int i, j, n;
 4942:   int linei, month, year,iout;
 4943:   char line[MAXLINE], linetmp[MAXLINE];
 4944:   char stra[80], strb[80];
 4945:   char *stratrunc;
 4946:   int lstra;
 4947: 
 4948: 
 4949:   if((fic=fopen(datafile,"r"))==NULL)    {
 4950:     printf("Problem while opening datafile: %s\n", datafile);return 1;
 4951:     fprintf(ficlog,"Problem while opening datafile: %s\n", datafile);return 1;
 4952:   }
 4953: 
 4954:   i=1;
 4955:   linei=0;
 4956:   while ((fgets(line, MAXLINE, fic) != NULL) &&((i >= firstobs) && (i <=lastobs))) {
 4957:     linei=linei+1;
 4958:     for(j=strlen(line); j>=0;j--){  /* Untabifies line */
 4959:       if(line[j] == '\t')
 4960: 	line[j] = ' ';
 4961:     }
 4962:     for(j=strlen(line)-1; (line[j]==' ')||(line[j]==10)||(line[j]==13);j--){
 4963:       ;
 4964:     };
 4965:     line[j+1]=0;  /* Trims blanks at end of line */
 4966:     if(line[0]=='#'){
 4967:       fprintf(ficlog,"Comment line\n%s\n",line);
 4968:       printf("Comment line\n%s\n",line);
 4969:       continue;
 4970:     }
 4971:     trimbb(linetmp,line); /* Trims multiple blanks in line */
 4972:     for (j=0; line[j]!='\0';j++){
 4973:       line[j]=linetmp[j];
 4974:     }
 4975:   
 4976: 
 4977:     for (j=maxwav;j>=1;j--){
 4978:       cutv(stra, strb, line, ' '); 
 4979:       if(strb[0]=='.') { /* Missing status */
 4980: 	lval=-1;
 4981:       }else{
 4982: 	errno=0;
 4983: 	lval=strtol(strb,&endptr,10); 
 4984:       /*	if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN))*/
 4985: 	if( strb[0]=='\0' || (*endptr != '\0')){
 4986: 	  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);
 4987: 	  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);
 4988: 	  return 1;
 4989: 	}
 4990:       }
 4991:       s[j][i]=lval;
 4992:       
 4993:       strcpy(line,stra);
 4994:       cutv(stra, strb,line,' ');
 4995:       if(iout=sscanf(strb,"%d/%d",&month, &year) != 0){
 4996:       }
 4997:       else  if(iout=sscanf(strb,"%s.",dummy) != 0){
 4998: 	month=99;
 4999: 	year=9999;
 5000:       }else{
 5001: 	printf("Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be a date of interview (mm/yyyy or .) at wave %d.  Exiting.\n",strb, linei,i, line,j);
 5002: 	fprintf(ficlog,"Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be a date of interview (mm/yyyy or .) at wave %d.  Exiting.\n",strb, linei,i, line,j);fflush(ficlog);
 5003: 	return 1;
 5004:       }
 5005:       anint[j][i]= (double) year; 
 5006:       mint[j][i]= (double)month; 
 5007:       strcpy(line,stra);
 5008:     } /* ENd Waves */
 5009:     
 5010:     cutv(stra, strb,line,' '); 
 5011:     if(iout=sscanf(strb,"%d/%d",&month, &year) != 0){
 5012:     }
 5013:     else  if(iout=sscanf(strb,"%s.",dummy) != 0){
 5014:       month=99;
 5015:       year=9999;
 5016:     }else{
 5017:       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);
 5018: 	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);
 5019: 	return 1;
 5020:     }
 5021:     andc[i]=(double) year; 
 5022:     moisdc[i]=(double) month; 
 5023:     strcpy(line,stra);
 5024:     
 5025:     cutv(stra, strb,line,' '); 
 5026:     if(iout=sscanf(strb,"%d/%d",&month, &year) != 0){
 5027:     }
 5028:     else  if(iout=sscanf(strb,"%s.", dummy) != 0){
 5029:       month=99;
 5030:       year=9999;
 5031:     }else{
 5032:       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);
 5033:       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);
 5034: 	return 1;
 5035:     }
 5036:     if (year==9999) {
 5037:       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);
 5038:       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);
 5039: 	return 1;
 5040: 
 5041:     }
 5042:     annais[i]=(double)(year);
 5043:     moisnais[i]=(double)(month); 
 5044:     strcpy(line,stra);
 5045:     
 5046:     cutv(stra, strb,line,' '); 
 5047:     errno=0;
 5048:     dval=strtod(strb,&endptr); 
 5049:     if( strb[0]=='\0' || (*endptr != '\0')){
 5050:       printf("Error reading data around '%f' at line number %d, \"%s\" for individual %d\nShould be a weight.  Exiting.\n",dval, i,line,linei);
 5051:       fprintf(ficlog,"Error reading data around '%f' at line number %d, \"%s\" for individual %d\nShould be a weight.  Exiting.\n",dval, i,line,linei);
 5052:       fflush(ficlog);
 5053:       return 1;
 5054:     }
 5055:     weight[i]=dval; 
 5056:     strcpy(line,stra);
 5057:     
 5058:     for (j=ncovcol;j>=1;j--){
 5059:       cutv(stra, strb,line,' '); 
 5060:       if(strb[0]=='.') { /* Missing status */
 5061: 	lval=-1;
 5062:       }else{
 5063: 	errno=0;
 5064: 	lval=strtol(strb,&endptr,10); 
 5065: 	if( strb[0]=='\0' || (*endptr != '\0')){
 5066: 	  printf("Error reading data around '%ld' at line number %d for individual %d, '%s'\nShould be a covariate value (=0 for the reference or 1 for alternative).  Exiting.\n",lval, linei,i, line);
 5067: 	  fprintf(ficlog,"Error reading data around '%ld' at line number %d for individual %d, '%s'\nShould be a covariate value (=0 for the reference or 1 for alternative).  Exiting.\n",lval, linei,i, line);fflush(ficlog);
 5068: 	  return 1;
 5069: 	}
 5070:       }
 5071:       if(lval <-1 || lval >1){
 5072: 	printf("Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
 5073:  Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
 5074:  for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
 5075:  For example, for multinomial values like 1, 2 and 3,\n \
 5076:  build V1=0 V2=0 for the reference value (1),\n \
 5077:         V1=1 V2=0 for (2) \n \
 5078:  and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
 5079:  output of IMaCh is often meaningless.\n \
 5080:  Exiting.\n",lval,linei, i,line,j);
 5081: 	fprintf(ficlog,"Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
 5082:  Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
 5083:  for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
 5084:  For example, for multinomial values like 1, 2 and 3,\n \
 5085:  build V1=0 V2=0 for the reference value (1),\n \
 5086:         V1=1 V2=0 for (2) \n \
 5087:  and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
 5088:  output of IMaCh is often meaningless.\n \
 5089:  Exiting.\n",lval,linei, i,line,j);fflush(ficlog);
 5090: 	return 1;
 5091:       }
 5092:       covar[j][i]=(double)(lval);
 5093:       strcpy(line,stra);
 5094:     }  
 5095:     lstra=strlen(stra);
 5096:      
 5097:     if(lstra > 9){ /* More than 2**32 or max of what printf can write with %ld */
 5098:       stratrunc = &(stra[lstra-9]);
 5099:       num[i]=atol(stratrunc);
 5100:     }
 5101:     else
 5102:       num[i]=atol(stra);
 5103:     /*if((s[2][i]==2) && (s[3][i]==-1)&&(s[4][i]==9)){
 5104:       printf("%ld %.lf %.lf %.lf %.lf/%.lf %.lf/%.lf %.lf/%.lf %d %.lf/%.lf %d %.lf/%.lf %d %.lf/%.lf %d\n",num[i],(covar[1][i]), (covar[2][i]),weight[i], (moisnais[i]), (annais[i]), (moisdc[i]), (andc[i]), (mint[1][i]), (anint[1][i]), (s[1][i]),  (mint[2][i]), (anint[2][i]), (s[2][i]),  (mint[3][i]), (anint[3][i]), (s[3][i]),  (mint[4][i]), (anint[4][i]), (s[4][i])); ij=ij+1;}*/
 5105:     
 5106:     i=i+1;
 5107:   } /* End loop reading  data */
 5108: 
 5109:   *imax=i-1; /* Number of individuals */
 5110:   fclose(fic);
 5111:  
 5112:   return (0);
 5113:   endread:
 5114:     printf("Exiting readdata: ");
 5115:     fclose(fic);
 5116:     return (1);
 5117: 
 5118: 
 5119: 
 5120: }
 5121: void removespace(char *str) {
 5122:   char *p1 = str, *p2 = str;
 5123:   do
 5124:     while (*p2 == ' ')
 5125:       p2++;
 5126:   while (*p1++ = *p2++);
 5127: }
 5128: 
 5129: int decodemodel ( char model[], int lastobs) /**< This routine decode the model and returns:
 5130:    * Model  V1+V2+V3+V8+V7*V8+V5*V6+V8*age+V3*age
 5131:    * - cptcovt total number of covariates of the model nbocc(+)+1 = 8
 5132:    * - cptcovn or number of covariates k of the models excluding age*products =6
 5133:    * - cptcovage number of covariates with age*products =2
 5134:    * - cptcovs number of simple covariates
 5135:    * - 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
 5136:    *     which is a new column after the 9 (ncovcol) variables. 
 5137:    * - if k is a product Vn*Vm covar[k][i] is filled with correct values for each individual
 5138:    * - Tprod[l] gives the kth covariates of the product Vn*Vm l=1 to cptcovprod-cptcovage
 5139:    *    Tprod[1]@2 {5, 6}: position of first product V7*V8 is 5, and second V5*V6 is 6.
 5140:    * - Tvard[k]  p Tvard[1][1]@4 {7, 8, 5, 6} for V7*V8 and V5*V6 .
 5141:  */
 5142: {
 5143:   int i, j, k, ks;
 5144:   int i1, j1, k1, k2;
 5145:   char modelsav[80];
 5146:   char stra[80], strb[80], strc[80], strd[80],stre[80];
 5147: 
 5148:   /*removespace(model);*/
 5149:   if (strlen(model) >1){ /* If there is at least 1 covariate */
 5150:     j=0, j1=0, k1=0, k2=-1, ks=0, cptcovn=0;
 5151:     j=nbocc(model,'+'); /**< j=Number of '+' */
 5152:     j1=nbocc(model,'*'); /**< j1=Number of '*' */
 5153:     cptcovs=j+1-j1; /**<  Number of simple covariates V1+V2*age+V3 +V3*V4=> V1 + V3 =2  */
 5154:     cptcovt= j+1; /* Number of total covariates in the model V1 + V2*age+ V3 + V3*V4=> 4*/
 5155:                   /* including age products which are counted in cptcovage.
 5156: 		  /* but the covariates which are products must be treated separately: ncovn=4- 2=2 (V1+V3). */
 5157:     cptcovprod=j1; /**< Number of products  V1*V2 +v3*age = 2 */
 5158:     cptcovprodnoage=0; /**< Number of covariate products without age: V3*V4 =1  */
 5159:     strcpy(modelsav,model); 
 5160:     if (strstr(model,"AGE") !=0){
 5161:       printf("Error. AGE must be in lower case 'age' model=%s ",model);
 5162:       fprintf(ficlog,"Error. AGE must be in lower case model=%s ",model);fflush(ficlog);
 5163:       return 1;
 5164:     }
 5165:     if (strstr(model,"v") !=0){
 5166:       printf("Error. 'v' must be in upper case 'V' model=%s ",model);
 5167:       fprintf(ficlog,"Error. 'v' must be in upper case model=%s ",model);fflush(ficlog);
 5168:       return 1;
 5169:     }
 5170:     
 5171:     /*   Design
 5172:      *  V1   V2   V3   V4  V5  V6  V7  V8  V9 Weight
 5173:      *  <          ncovcol=8                >
 5174:      * Model V2 + V1 + V3*age + V3 + V5*V6 + V7*V8 + V8*age + V8
 5175:      *   k=  1    2      3       4     5       6      7        8
 5176:      *  cptcovn number of covariates (not including constant and age ) = # of + plus 1 = 7+1=8
 5177:      *  covar[k,i], value of kth covariate if not including age for individual i:
 5178:      *       covar[1][i]= (V2), covar[4][i]=(V3), covar[8][i]=(V8)
 5179:      *  Tvar[k] # of the kth covariate:  Tvar[1]=2  Tvar[4]=3 Tvar[8]=8
 5180:      *       if multiplied by age: V3*age Tvar[3=V3*age]=3 (V3) Tvar[7]=8 and 
 5181:      *  Tage[++cptcovage]=k
 5182:      *       if products, new covar are created after ncovcol with k1
 5183:      *  Tvar[k]=ncovcol+k1; # of the kth covariate product:  Tvar[5]=ncovcol+1=10  Tvar[6]=ncovcol+1=11
 5184:      *  Tprod[k1]=k; Tprod[1]=5 Tprod[2]= 6; gives the position of the k1th product
 5185:      *  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
 5186:      *  Tvar[cptcovn+k2]=Tvard[k1][1];Tvar[cptcovn+k2+1]=Tvard[k1][2];
 5187:      *  Tvar[8+1]=5;Tvar[8+2]=6;Tvar[8+3]=7;Tvar[8+4]=8 inverted
 5188:      *  V1   V2   V3   V4  V5  V6  V7  V8  V9  V10  V11
 5189:      *  <          ncovcol=8                >
 5190:      *       Model V2 + V1 + V3*age + V3 + V5*V6 + V7*V8 + V8*age + V8    d1   d1   d2  d2
 5191:      *          k=  1    2      3       4     5       6      7        8    9   10   11  12
 5192:      *     Tvar[k]= 2    1      3       3    10      11      8        8    5    6    7   8
 5193:      * p Tvar[1]@12={2,   1,     3,      3,   11,     10,     8,       8,   7,   8,   5,  6}
 5194:      * p Tprod[1]@2={                         6, 5}
 5195:      *p Tvard[1][1]@4= {7, 8, 5, 6}
 5196:      * covar[k][i]= V2   V1      ?      V3    V5*V6?   V7*V8?  ?       V8   
 5197:      *  cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
 5198:      *How to reorganize?
 5199:      * Model V1 + V2 + V3 + V8 + V5*V6 + V7*V8 + V3*age + V8*age
 5200:      * Tvars {2,   1,     3,      3,   11,     10,     8,       8,   7,   8,   5,  6}
 5201:      *       {2,   1,     4,      8,    5,      6,     3,       7}
 5202:      * Struct []
 5203:      */
 5204: 
 5205:     /* This loop fills the array Tvar from the string 'model'.*/
 5206:     /* j is the number of + signs in the model V1+V2+V3 j=2 i=3 to 1 */
 5207:     /*   modelsav=V2+V1+V4+age*V3 strb=age*V3 stra=V2+V1+V4  */
 5208:     /* 	k=4 (age*V3) Tvar[k=4]= 3 (from V3) Tage[cptcovage=1]=4 */
 5209:     /* 	k=3 V4 Tvar[k=3]= 4 (from V4) */
 5210:     /* 	k=2 V1 Tvar[k=2]= 1 (from V1) */
 5211:     /* 	k=1 Tvar[1]=2 (from V2) */
 5212:     /* 	k=5 Tvar[5] */
 5213:     /* for (k=1; k<=cptcovn;k++) { */
 5214:     /* 	cov[2+k]=nbcode[Tvar[k]][codtab[ij][Tvar[k]]]; */
 5215:     /* 	} */
 5216:     /* for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
 5217:     /*
 5218:      * Treating invertedly V2+V1+V3*age+V2*V4 is as if written V2*V4 +V3*age + V1 + V2 */
 5219:     for(k=cptcovt; k>=1;k--) /**< Number of covariates */
 5220:         Tvar[k]=0;
 5221:     cptcovage=0;
 5222:     for(k=1; k<=cptcovt;k++){ /* Loop on total covariates of the model */
 5223:       cutl(stra,strb,modelsav,'+'); /* keeps in strb after the first '+' 
 5224: 				     modelsav==V2+V1+V4+V3*age strb=V3*age stra=V2+V1+V4 */ 
 5225:       if (nbocc(modelsav,'+')==0) strcpy(strb,modelsav); /* and analyzes it */
 5226:       /*      printf("i=%d a=%s b=%s sav=%s\n",i, stra,strb,modelsav);*/
 5227:       /*scanf("%d",i);*/
 5228:       if (strchr(strb,'*')) {  /**< Model includes a product V2+V1+V4+V3*age strb=V3*age */
 5229: 	cutl(strc,strd,strb,'*'); /**< strd*strc  Vm*Vn: strb=V3*age(input) strc=age strd=V3 ; V3*V2 strc=V2, strd=V3 */
 5230: 	if (strcmp(strc,"age")==0) { /**< Model includes age: Vn*age */
 5231: 	  /* covar is not filled and then is empty */
 5232: 	  cptcovprod--;
 5233: 	  cutl(stre,strb,strd,'V'); /* strd=V3(input): stre="3" */
 5234: 	  Tvar[k]=atoi(stre);  /* V2+V1+V4+V3*age Tvar[4]=3 ; V1+V2*age Tvar[2]=2 */
 5235: 	  cptcovage++; /* Sums the number of covariates which include age as a product */
 5236: 	  Tage[cptcovage]=k;  /* Tage[1] = 4 */
 5237: 	  /*printf("stre=%s ", stre);*/
 5238: 	} else if (strcmp(strd,"age")==0) { /* or age*Vn */
 5239: 	  cptcovprod--;
 5240: 	  cutl(stre,strb,strc,'V');
 5241: 	  Tvar[k]=atoi(stre);
 5242: 	  cptcovage++;
 5243: 	  Tage[cptcovage]=k;
 5244: 	} else {  /* Age is not in the model product V2+V1+V1*V4+V3*age+V3*V2  strb=V3*V2*/
 5245: 	  /* loops on k1=1 (V3*V2) and k1=2 V4*V3 */
 5246: 	  cptcovn++;
 5247: 	  cptcovprodnoage++;k1++;
 5248: 	  cutl(stre,strb,strc,'V'); /* strc= Vn, stre is n; strb=V3*V2 stre=3 strc=*/
 5249: 	  Tvar[k]=ncovcol+k1; /* For model-covariate k tells which data-covariate to use but
 5250: 				  because this model-covariate is a construction we invent a new column
 5251: 				  ncovcol + k1
 5252: 				  If already ncovcol=4 and model=V2+V1+V1*V4+age*V3+V3*V2
 5253: 				  Tvar[3=V1*V4]=4+1 Tvar[5=V3*V2]=4 + 2= 6, etc */
 5254: 	  cutl(strc,strb,strd,'V'); /* strd was Vm, strc is m */
 5255: 	  Tprod[k1]=k;  /* Tprod[1]=3(=V1*V4) for V2+V1+V1*V4+age*V3+V3*V2  */
 5256: 	  Tvard[k1][1] =atoi(strc); /* m 1 for V1*/
 5257: 	  Tvard[k1][2] =atoi(stre); /* n 4 for V4*/
 5258: 	  k2=k2+2;
 5259: 	  Tvar[cptcovt+k2]=Tvard[k1][1]; /* Tvar[(cptcovt=4+k2=1)=5]= 1 (V1) */
 5260: 	  Tvar[cptcovt+k2+1]=Tvard[k1][2];  /* Tvar[(cptcovt=4+(k2=1)+1)=6]= 4 (V4) */
 5261: 	  for (i=1; i<=lastobs;i++){
 5262: 	    /* Computes the new covariate which is a product of
 5263: 	       covar[n][i]* covar[m][i] and stores it at ncovol+k1 May not be defined */
 5264: 	    covar[ncovcol+k1][i]=covar[atoi(stre)][i]*covar[atoi(strc)][i];
 5265: 	  }
 5266: 	} /* End age is not in the model */
 5267:       } /* End if model includes a product */
 5268:       else { /* no more sum */
 5269: 	/*printf("d=%s c=%s b=%s\n", strd,strc,strb);*/
 5270:        /*  scanf("%d",i);*/
 5271: 	cutl(strd,strc,strb,'V');
 5272: 	ks++; /**< Number of simple covariates */
 5273: 	cptcovn++;
 5274: 	Tvar[k]=atoi(strd);
 5275:       }
 5276:       strcpy(modelsav,stra);  /* modelsav=V2+V1+V4 stra=V2+V1+V4 */ 
 5277:       /*printf("a=%s b=%s sav=%s\n", stra,strb,modelsav);
 5278: 	scanf("%d",i);*/
 5279:     } /* end of loop + */
 5280:   } /* end model */
 5281:   
 5282:   /*The number n of Vn is stored in Tvar. cptcovage =number of age covariate. Tage gives the position of age. cptcovprod= number of products.
 5283:     If model=V1+V1*age then Tvar[1]=1 Tvar[2]=1 cptcovage=1 Tage[1]=2 cptcovprod=0*/
 5284: 
 5285:   /* printf("tvar1=%d tvar2=%d tvar3=%d cptcovage=%d Tage=%d",Tvar[1],Tvar[2],Tvar[3],cptcovage,Tage[1]);
 5286:   printf("cptcovprod=%d ", cptcovprod);
 5287:   fprintf(ficlog,"cptcovprod=%d ", cptcovprod);
 5288: 
 5289:   scanf("%d ",i);*/
 5290: 
 5291: 
 5292:   return (0); /* with covar[new additional covariate if product] and Tage if age */ 
 5293:   endread:
 5294:     printf("Exiting decodemodel: ");
 5295:     return (1);
 5296: }
 5297: 
 5298: calandcheckages(int imx, int maxwav, double *agemin, double *agemax, int *nberr, int *nbwarn )
 5299: {
 5300:   int i, m;
 5301: 
 5302:   for (i=1; i<=imx; i++) {
 5303:     for(m=2; (m<= maxwav); m++) {
 5304:       if (((int)mint[m][i]== 99) && (s[m][i] <= nlstate)){
 5305: 	anint[m][i]=9999;
 5306: 	s[m][i]=-1;
 5307:       }
 5308:       if((int)moisdc[i]==99 && (int)andc[i]==9999 && s[m][i]>nlstate){
 5309: 	*nberr++;
 5310: 	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);
 5311: 	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);
 5312: 	s[m][i]=-1;
 5313:       }
 5314:       if((int)moisdc[i]==99 && (int)andc[i]!=9999 && s[m][i]>nlstate){
 5315: 	*nberr++;
 5316: 	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]); 
 5317: 	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]); 
 5318: 	s[m][i]=-1; /* We prefer to skip it (and to skip it in version 0.8a1 too */
 5319:       }
 5320:     }
 5321:   }
 5322: 
 5323:   for (i=1; i<=imx; i++)  {
 5324:     agedc[i]=(moisdc[i]/12.+andc[i])-(moisnais[i]/12.+annais[i]);
 5325:     for(m=firstpass; (m<= lastpass); m++){
 5326:       if(s[m][i] >0 || s[m][i]==-2 || s[m][i]==-4 || s[m][i]==-5){
 5327: 	if (s[m][i] >= nlstate+1) {
 5328: 	  if(agedc[i]>0)
 5329: 	    if((int)moisdc[i]!=99 && (int)andc[i]!=9999)
 5330: 	      agev[m][i]=agedc[i];
 5331: 	  /*if(moisdc[i]==99 && andc[i]==9999) s[m][i]=-1;*/
 5332: 	    else {
 5333: 	      if ((int)andc[i]!=9999){
 5334: 		nbwarn++;
 5335: 		printf("Warning negative age at death: %ld line:%d\n",num[i],i);
 5336: 		fprintf(ficlog,"Warning negative age at death: %ld line:%d\n",num[i],i);
 5337: 		agev[m][i]=-1;
 5338: 	      }
 5339: 	    }
 5340: 	}
 5341: 	else if(s[m][i] !=9){ /* Standard case, age in fractional
 5342: 				 years but with the precision of a month */
 5343: 	  agev[m][i]=(mint[m][i]/12.+1./24.+anint[m][i])-(moisnais[i]/12.+1./24.+annais[i]);
 5344: 	  if((int)mint[m][i]==99 || (int)anint[m][i]==9999)
 5345: 	    agev[m][i]=1;
 5346: 	  else if(agev[m][i] < *agemin){ 
 5347: 	    *agemin=agev[m][i];
 5348: 	    printf(" Min anint[%d][%d]=%.2f annais[%d]=%.2f, agemin=%.2f\n",m,i,anint[m][i], i,annais[i], *agemin);
 5349: 	  }
 5350: 	  else if(agev[m][i] >*agemax){
 5351: 	    *agemax=agev[m][i];
 5352: 	    /* printf(" Max anint[%d][%d]=%.0f annais[%d]=%.0f, agemax=%.2f\n",m,i,anint[m][i], i,annais[i], *agemax);*/
 5353: 	  }
 5354: 	  /*agev[m][i]=anint[m][i]-annais[i];*/
 5355: 	  /*	 agev[m][i] = age[i]+2*m;*/
 5356: 	}
 5357: 	else { /* =9 */
 5358: 	  agev[m][i]=1;
 5359: 	  s[m][i]=-1;
 5360: 	}
 5361:       }
 5362:       else /*= 0 Unknown */
 5363: 	agev[m][i]=1;
 5364:     }
 5365:     
 5366:   }
 5367:   for (i=1; i<=imx; i++)  {
 5368:     for(m=firstpass; (m<=lastpass); m++){
 5369:       if (s[m][i] > (nlstate+ndeath)) {
 5370: 	*nberr++;
 5371: 	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);	
 5372: 	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);	
 5373: 	return 1;
 5374:       }
 5375:     }
 5376:   }
 5377: 
 5378:   /*for (i=1; i<=imx; i++){
 5379:   for (m=firstpass; (m<lastpass); m++){
 5380:      printf("%ld %d %.lf %d %d\n", num[i],(covar[1][i]),agev[m][i],s[m][i],s[m+1][i]);
 5381: }
 5382: 
 5383: }*/
 5384: 
 5385: 
 5386:   printf("Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, *agemin, *agemax);
 5387:   fprintf(ficlog,"Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, *agemin, *agemax); 
 5388: 
 5389:   return (0);
 5390:   endread:
 5391:     printf("Exiting calandcheckages: ");
 5392:     return (1);
 5393: }
 5394: 
 5395: 
 5396: /***********************************************/
 5397: /**************** Main Program *****************/
 5398: /***********************************************/
 5399: 
 5400: int main(int argc, char *argv[])
 5401: {
 5402: #ifdef GSL
 5403:   const gsl_multimin_fminimizer_type *T;
 5404:   size_t iteri = 0, it;
 5405:   int rval = GSL_CONTINUE;
 5406:   int status = GSL_SUCCESS;
 5407:   double ssval;
 5408: #endif
 5409:   int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav);
 5410:   int i,j, k, n=MAXN,iter,m,size=100,cptcode, cptcod;
 5411:   int linei, month, year,iout;
 5412:   int jj, ll, li, lj, lk, imk;
 5413:   int numlinepar=0; /* Current linenumber of parameter file */
 5414:   int itimes;
 5415:   int NDIM=2;
 5416:   int vpopbased=0;
 5417: 
 5418:   char ca[32], cb[32], cc[32];
 5419:   /*  FILE *fichtm; *//* Html File */
 5420:   /* FILE *ficgp;*/ /*Gnuplot File */
 5421:   struct stat info;
 5422:   double agedeb, agefin,hf;
 5423:   double ageminpar=1.e20,agemin=1.e20, agemaxpar=-1.e20, agemax=-1.e20;
 5424: 
 5425:   double fret;
 5426:   double **xi,tmp,delta;
 5427: 
 5428:   double dum; /* Dummy variable */
 5429:   double ***p3mat;
 5430:   double ***mobaverage;
 5431:   int *indx;
 5432:   char line[MAXLINE], linepar[MAXLINE];
 5433:   char path[MAXLINE],pathc[MAXLINE],pathcd[MAXLINE],pathtot[MAXLINE],model[MAXLINE];
 5434:   char pathr[MAXLINE], pathimach[MAXLINE]; 
 5435:   char **bp, *tok, *val; /* pathtot */
 5436:   int firstobs=1, lastobs=10;
 5437:   int sdeb, sfin; /* Status at beginning and end */
 5438:   int c,  h , cpt,l;
 5439:   int ju,jl, mi;
 5440:   int i1,j1, jk,aa,bb, stepsize, ij;
 5441:   int jnais,jdc,jint4,jint1,jint2,jint3,*tab; 
 5442:   int mobilavproj=0 , prevfcast=0 ; /* moving average of prev, If prevfcast=1 prevalence projection */
 5443:   int mobilav=0,popforecast=0;
 5444:   int hstepm, nhstepm;
 5445:   int agemortsup;
 5446:   float  sumlpop=0.;
 5447:   double jprev1=1, mprev1=1,anprev1=2000,jprev2=1, mprev2=1,anprev2=2000;
 5448:   double jpyram=1, mpyram=1,anpyram=2000,jpyram1=1, mpyram1=1,anpyram1=2000;
 5449: 
 5450:   double bage, fage, age, agelim, agebase;
 5451:   double ftolpl=FTOL;
 5452:   double **prlim;
 5453:   double ***param; /* Matrix of parameters */
 5454:   double  *p;
 5455:   double **matcov; /* Matrix of covariance */
 5456:   double ***delti3; /* Scale */
 5457:   double *delti; /* Scale */
 5458:   double ***eij, ***vareij;
 5459:   double **varpl; /* Variances of prevalence limits by age */
 5460:   double *epj, vepp;
 5461:   double kk1, kk2;
 5462:   double dateprev1, dateprev2,jproj1=1,mproj1=1,anproj1=2000,jproj2=1,mproj2=1,anproj2=2000;
 5463:   double **ximort;
 5464:   char *alph[]={"a","a","b","c","d","e"}, str[4]="1234";
 5465:   int *dcwave;
 5466: 
 5467:   char z[1]="c", occ;
 5468: 
 5469:   /*char  *strt;*/
 5470:   char strtend[80];
 5471: 
 5472:   long total_usecs;
 5473:  
 5474: /*   setlocale (LC_ALL, ""); */
 5475: /*   bindtextdomain (PACKAGE, LOCALEDIR); */
 5476: /*   textdomain (PACKAGE); */
 5477: /*   setlocale (LC_CTYPE, ""); */
 5478: /*   setlocale (LC_MESSAGES, ""); */
 5479: 
 5480:   /*   gettimeofday(&start_time, (struct timezone*)0); */ /* at first time */
 5481:   rstart_time = time(NULL);  
 5482:   /*  (void) gettimeofday(&start_time,&tzp);*/
 5483:   start_time = *localtime(&rstart_time);
 5484:   curr_time=start_time;
 5485:   /*tml = *localtime(&start_time.tm_sec);*/
 5486:   /* strcpy(strstart,asctime(&tml)); */
 5487:   strcpy(strstart,asctime(&start_time));
 5488: 
 5489: /*  printf("Localtime (at start)=%s",strstart); */
 5490: /*  tp.tm_sec = tp.tm_sec +86400; */
 5491: /*  tm = *localtime(&start_time.tm_sec); */
 5492: /*   tmg.tm_year=tmg.tm_year +dsign*dyear; */
 5493: /*   tmg.tm_mon=tmg.tm_mon +dsign*dmonth; */
 5494: /*   tmg.tm_hour=tmg.tm_hour + 1; */
 5495: /*   tp.tm_sec = mktime(&tmg); */
 5496: /*   strt=asctime(&tmg); */
 5497: /*   printf("Time(after) =%s",strstart);  */
 5498: /*  (void) time (&time_value);
 5499: *  printf("time=%d,t-=%d\n",time_value,time_value-86400);
 5500: *  tm = *localtime(&time_value);
 5501: *  strstart=asctime(&tm);
 5502: *  printf("tim_value=%d,asctime=%s\n",time_value,strstart); 
 5503: */
 5504: 
 5505:   nberr=0; /* Number of errors and warnings */
 5506:   nbwarn=0;
 5507:   getcwd(pathcd, size);
 5508: 
 5509:   printf("\n%s\n%s",version,fullversion);
 5510:   if(argc <=1){
 5511:     printf("\nEnter the parameter file name: ");
 5512:     fgets(pathr,FILENAMELENGTH,stdin);
 5513:     i=strlen(pathr);
 5514:     if(pathr[i-1]=='\n')
 5515:       pathr[i-1]='\0';
 5516:     i=strlen(pathr);
 5517:     if(pathr[i-1]==' ') /* This may happen when dragging on oS/X! */
 5518:       pathr[i-1]='\0';
 5519:    for (tok = pathr; tok != NULL; ){
 5520:       printf("Pathr |%s|\n",pathr);
 5521:       while ((val = strsep(&tok, "\"" )) != NULL && *val == '\0');
 5522:       printf("val= |%s| pathr=%s\n",val,pathr);
 5523:       strcpy (pathtot, val);
 5524:       if(pathr[0] == '\0') break; /* Dirty */
 5525:     }
 5526:   }
 5527:   else{
 5528:     strcpy(pathtot,argv[1]);
 5529:   }
 5530:   /*if(getcwd(pathcd, MAXLINE)!= NULL)printf ("Error pathcd\n");*/
 5531:   /*cygwin_split_path(pathtot,path,optionfile);
 5532:     printf("pathtot=%s, path=%s, optionfile=%s\n",pathtot,path,optionfile);*/
 5533:   /* cutv(path,optionfile,pathtot,'\\');*/
 5534: 
 5535:   /* Split argv[0], imach program to get pathimach */
 5536:   printf("\nargv[0]=%s argv[1]=%s, \n",argv[0],argv[1]);
 5537:   split(argv[0],pathimach,optionfile,optionfilext,optionfilefiname);
 5538:   printf("\nargv[0]=%s pathimach=%s, \noptionfile=%s \noptionfilext=%s \noptionfilefiname=%s\n",argv[0],pathimach,optionfile,optionfilext,optionfilefiname);
 5539:  /*   strcpy(pathimach,argv[0]); */
 5540:   /* Split argv[1]=pathtot, parameter file name to get path, optionfile, extension and name */
 5541:   split(pathtot,path,optionfile,optionfilext,optionfilefiname);
 5542:   printf("\npathtot=%s,\npath=%s,\noptionfile=%s \noptionfilext=%s \noptionfilefiname=%s\n",pathtot,path,optionfile,optionfilext,optionfilefiname);
 5543:   chdir(path); /* Can be a relative path */
 5544:   if(getcwd(pathcd,MAXLINE) > 0) /* So pathcd is the full path */
 5545:     printf("Current directory %s!\n",pathcd);
 5546:   strcpy(command,"mkdir ");
 5547:   strcat(command,optionfilefiname);
 5548:   if((outcmd=system(command)) != 0){
 5549:     printf("Problem creating directory or it already exists %s%s, err=%d\n",path,optionfilefiname,outcmd);
 5550:     /* fprintf(ficlog,"Problem creating directory %s%s\n",path,optionfilefiname); */
 5551:     /* fclose(ficlog); */
 5552: /*     exit(1); */
 5553:   }
 5554: /*   if((imk=mkdir(optionfilefiname))<0){ */
 5555: /*     perror("mkdir"); */
 5556: /*   } */
 5557: 
 5558:   /*-------- arguments in the command line --------*/
 5559: 
 5560:   /* Log file */
 5561:   strcat(filelog, optionfilefiname);
 5562:   strcat(filelog,".log");    /* */
 5563:   if((ficlog=fopen(filelog,"w"))==NULL)    {
 5564:     printf("Problem with logfile %s\n",filelog);
 5565:     goto end;
 5566:   }
 5567:   fprintf(ficlog,"Log filename:%s\n",filelog);
 5568:   fprintf(ficlog,"\n%s\n%s",version,fullversion);
 5569:   fprintf(ficlog,"\nEnter the parameter file name: \n");
 5570:   fprintf(ficlog,"pathimach=%s\npathtot=%s\n\
 5571:  path=%s \n\
 5572:  optionfile=%s\n\
 5573:  optionfilext=%s\n\
 5574:  optionfilefiname='%s'\n",pathimach,pathtot,path,optionfile,optionfilext,optionfilefiname);
 5575: 
 5576:   printf("Local time (at start):%s",strstart);
 5577:   fprintf(ficlog,"Local time (at start): %s",strstart);
 5578:   fflush(ficlog);
 5579: /*   (void) gettimeofday(&curr_time,&tzp); */
 5580: /*   printf("Elapsed time %d\n", asc_diff_time(curr_time.tm_sec-start_time.tm_sec,tmpout)); */
 5581: 
 5582:   /* */
 5583:   strcpy(fileres,"r");
 5584:   strcat(fileres, optionfilefiname);
 5585:   strcat(fileres,".txt");    /* Other files have txt extension */
 5586: 
 5587:   /*---------arguments file --------*/
 5588: 
 5589:   if((ficpar=fopen(optionfile,"r"))==NULL)    {
 5590:     printf("Problem with optionfile '%s' with errno='%s'\n",optionfile,strerror(errno));
 5591:     fprintf(ficlog,"Problem with optionfile '%s' with errno='%s'\n",optionfile,strerror(errno));
 5592:     fflush(ficlog);
 5593:     /* goto end; */
 5594:     exit(70); 
 5595:   }
 5596: 
 5597: 
 5598: 
 5599:   strcpy(filereso,"o");
 5600:   strcat(filereso,fileres);
 5601:   if((ficparo=fopen(filereso,"w"))==NULL) { /* opened on subdirectory */
 5602:     printf("Problem with Output resultfile: %s\n", filereso);
 5603:     fprintf(ficlog,"Problem with Output resultfile: %s\n", filereso);
 5604:     fflush(ficlog);
 5605:     goto end;
 5606:   }
 5607: 
 5608:   /* Reads comments: lines beginning with '#' */
 5609:   numlinepar=0;
 5610:   while((c=getc(ficpar))=='#' && c!= EOF){
 5611:     ungetc(c,ficpar);
 5612:     fgets(line, MAXLINE, ficpar);
 5613:     numlinepar++;
 5614:     fputs(line,stdout);
 5615:     fputs(line,ficparo);
 5616:     fputs(line,ficlog);
 5617:   }
 5618:   ungetc(c,ficpar);
 5619: 
 5620:   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);
 5621:   numlinepar++;
 5622:   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);
 5623:   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);
 5624:   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);
 5625:   fflush(ficlog);
 5626:   while((c=getc(ficpar))=='#' && c!= EOF){
 5627:     ungetc(c,ficpar);
 5628:     fgets(line, MAXLINE, ficpar);
 5629:     numlinepar++;
 5630:     fputs(line, stdout);
 5631:     //puts(line);
 5632:     fputs(line,ficparo);
 5633:     fputs(line,ficlog);
 5634:   }
 5635:   ungetc(c,ficpar);
 5636: 
 5637:    
 5638:   covar=matrix(0,NCOVMAX,1,n);  /**< used in readdata */
 5639:   cptcovn=0; /*Number of covariates, i.e. number of '+' in model statement plus one, indepently of n in Vn*/
 5640:   /* v1+v2+v3+v2*v4+v5*age makes cptcovn = 5
 5641:      v1+v2*age+v2*v3 makes cptcovn = 3
 5642:   */
 5643:   if (strlen(model)>1) 
 5644:     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*/
 5645:   else
 5646:     ncovmodel=2;
 5647:   nvar=ncovmodel-1; /* Suppressing age as a basic covariate */
 5648:   nforce= (nlstate+ndeath-1)*nlstate; /* Number of forces ij from state i to j */
 5649:   npar= nforce*ncovmodel; /* Number of parameters like aij*/
 5650:   if(npar >MAXPARM || nlstate >NLSTATEMAX || ndeath >NDEATHMAX || ncovmodel>NCOVMAX){
 5651:     printf("Too complex model for current IMaCh: npar=(nlstate+ndeath-1)*nlstate*ncovmodel=%d >= %d(MAXPARM) or nlstate=%d >= %d(NLSTATEMAX) or ndeath=%d >= %d(NDEATHMAX) or ncovmodel=(k+age+#of+signs)=%d(NCOVMAX) >= %d\n",npar, MAXPARM, nlstate, NLSTATEMAX, ndeath, NDEATHMAX, ncovmodel, NCOVMAX);
 5652:     fprintf(ficlog,"Too complex model for current IMaCh: %d >=%d(MAXPARM) or %d >=%d(NLSTATEMAX) or %d >=%d(NDEATHMAX) or %d(NCOVMAX) >=%d\n",npar, MAXPARM, nlstate, NLSTATEMAX, ndeath, NDEATHMAX, ncovmodel, NCOVMAX);
 5653:     fflush(stdout);
 5654:     fclose (ficlog);
 5655:     goto end;
 5656:   }
 5657:   delti3= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
 5658:   delti=delti3[1][1];
 5659:   /*delti=vector(1,npar); *//* Scale of each paramater (output from hesscov)*/
 5660:   if(mle==-1){ /* Print a wizard for help writing covariance matrix */
 5661:     prwizard(ncovmodel, nlstate, ndeath, model, ficparo);
 5662:     printf(" You choose mle=-1, look at file %s for a template of covariance matrix \n",filereso);
 5663:     fprintf(ficlog," You choose mle=-1, look at file %s for a template of covariance matrix \n",filereso);
 5664:     free_ma3x(delti3,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel); 
 5665:     fclose (ficparo);
 5666:     fclose (ficlog);
 5667:     goto end;
 5668:     exit(0);
 5669:   }
 5670:   else if(mle==-3) {
 5671:     prwizard(ncovmodel, nlstate, ndeath, model, ficparo);
 5672:     printf(" You choose mle=-3, look at file %s for a template of covariance matrix \n",filereso);
 5673:     fprintf(ficlog," You choose mle=-3, look at file %s for a template of covariance matrix \n",filereso);
 5674:     param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
 5675:     matcov=matrix(1,npar,1,npar);
 5676:   }
 5677:   else{
 5678:     /* Read guessed parameters */
 5679:     /* Reads comments: lines beginning with '#' */
 5680:     while((c=getc(ficpar))=='#' && c!= EOF){
 5681:       ungetc(c,ficpar);
 5682:       fgets(line, MAXLINE, ficpar);
 5683:       numlinepar++;
 5684:       fputs(line,stdout);
 5685:       fputs(line,ficparo);
 5686:       fputs(line,ficlog);
 5687:     }
 5688:     ungetc(c,ficpar);
 5689:     
 5690:     param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
 5691:     for(i=1; i <=nlstate; i++){
 5692:       j=0;
 5693:       for(jj=1; jj <=nlstate+ndeath; jj++){
 5694: 	if(jj==i) continue;
 5695: 	j++;
 5696: 	fscanf(ficpar,"%1d%1d",&i1,&j1);
 5697: 	if ((i1 != i) && (j1 != j)){
 5698: 	  printf("Error in line parameters number %d, %1d%1d instead of %1d%1d \n \
 5699: It might be a problem of design; if ncovcol and the model are correct\n \
 5700: run imach with mle=-1 to get a correct template of the parameter file.\n",numlinepar, i,j, i1, j1);
 5701: 	  exit(1);
 5702: 	}
 5703: 	fprintf(ficparo,"%1d%1d",i1,j1);
 5704: 	if(mle==1)
 5705: 	  printf("%1d%1d",i,j);
 5706: 	fprintf(ficlog,"%1d%1d",i,j);
 5707: 	for(k=1; k<=ncovmodel;k++){
 5708: 	  fscanf(ficpar," %lf",&param[i][j][k]);
 5709: 	  if(mle==1){
 5710: 	    printf(" %lf",param[i][j][k]);
 5711: 	    fprintf(ficlog," %lf",param[i][j][k]);
 5712: 	  }
 5713: 	  else
 5714: 	    fprintf(ficlog," %lf",param[i][j][k]);
 5715: 	  fprintf(ficparo," %lf",param[i][j][k]);
 5716: 	}
 5717: 	fscanf(ficpar,"\n");
 5718: 	numlinepar++;
 5719: 	if(mle==1)
 5720: 	  printf("\n");
 5721: 	fprintf(ficlog,"\n");
 5722: 	fprintf(ficparo,"\n");
 5723:       }
 5724:     }  
 5725:     fflush(ficlog);
 5726: 
 5727:     /* Reads scales values */
 5728:     p=param[1][1];
 5729:     
 5730:     /* Reads comments: lines beginning with '#' */
 5731:     while((c=getc(ficpar))=='#' && c!= EOF){
 5732:       ungetc(c,ficpar);
 5733:       fgets(line, MAXLINE, ficpar);
 5734:       numlinepar++;
 5735:       fputs(line,stdout);
 5736:       fputs(line,ficparo);
 5737:       fputs(line,ficlog);
 5738:     }
 5739:     ungetc(c,ficpar);
 5740: 
 5741:     for(i=1; i <=nlstate; i++){
 5742:       for(j=1; j <=nlstate+ndeath-1; j++){
 5743: 	fscanf(ficpar,"%1d%1d",&i1,&j1);
 5744: 	if ((i1-i)*(j1-j)!=0){
 5745: 	  printf("Error in line parameters number %d, %1d%1d instead of %1d%1d \n",numlinepar, i,j, i1, j1);
 5746: 	  exit(1);
 5747: 	}
 5748: 	printf("%1d%1d",i,j);
 5749: 	fprintf(ficparo,"%1d%1d",i1,j1);
 5750: 	fprintf(ficlog,"%1d%1d",i1,j1);
 5751: 	for(k=1; k<=ncovmodel;k++){
 5752: 	  fscanf(ficpar,"%le",&delti3[i][j][k]);
 5753: 	  printf(" %le",delti3[i][j][k]);
 5754: 	  fprintf(ficparo," %le",delti3[i][j][k]);
 5755: 	  fprintf(ficlog," %le",delti3[i][j][k]);
 5756: 	}
 5757: 	fscanf(ficpar,"\n");
 5758: 	numlinepar++;
 5759: 	printf("\n");
 5760: 	fprintf(ficparo,"\n");
 5761: 	fprintf(ficlog,"\n");
 5762:       }
 5763:     }
 5764:     fflush(ficlog);
 5765: 
 5766:     /* Reads covariance matrix */
 5767:     delti=delti3[1][1];
 5768: 
 5769: 
 5770:     /* free_ma3x(delti3,1,nlstate,1,nlstate+ndeath-1,1,ncovmodel); */ /* Hasn't to to freed here otherwise delti is no more allocated */
 5771:   
 5772:     /* Reads comments: lines beginning with '#' */
 5773:     while((c=getc(ficpar))=='#' && c!= EOF){
 5774:       ungetc(c,ficpar);
 5775:       fgets(line, MAXLINE, ficpar);
 5776:       numlinepar++;
 5777:       fputs(line,stdout);
 5778:       fputs(line,ficparo);
 5779:       fputs(line,ficlog);
 5780:     }
 5781:     ungetc(c,ficpar);
 5782:   
 5783:     matcov=matrix(1,npar,1,npar);
 5784:     for(i=1; i <=npar; i++)
 5785:       for(j=1; j <=npar; j++) matcov[i][j]=0.;
 5786:       
 5787:     for(i=1; i <=npar; i++){
 5788:       fscanf(ficpar,"%s",str);
 5789:       if(mle==1)
 5790: 	printf("%s",str);
 5791:       fprintf(ficlog,"%s",str);
 5792:       fprintf(ficparo,"%s",str);
 5793:       for(j=1; j <=i; j++){
 5794: 	fscanf(ficpar," %le",&matcov[i][j]);
 5795: 	if(mle==1){
 5796: 	  printf(" %.5le",matcov[i][j]);
 5797: 	}
 5798: 	fprintf(ficlog," %.5le",matcov[i][j]);
 5799: 	fprintf(ficparo," %.5le",matcov[i][j]);
 5800:       }
 5801:       fscanf(ficpar,"\n");
 5802:       numlinepar++;
 5803:       if(mle==1)
 5804: 	printf("\n");
 5805:       fprintf(ficlog,"\n");
 5806:       fprintf(ficparo,"\n");
 5807:     }
 5808:     for(i=1; i <=npar; i++)
 5809:       for(j=i+1;j<=npar;j++)
 5810: 	matcov[i][j]=matcov[j][i];
 5811:     
 5812:     if(mle==1)
 5813:       printf("\n");
 5814:     fprintf(ficlog,"\n");
 5815:     
 5816:     fflush(ficlog);
 5817:     
 5818:     /*-------- Rewriting parameter file ----------*/
 5819:     strcpy(rfileres,"r");    /* "Rparameterfile */
 5820:     strcat(rfileres,optionfilefiname);    /* Parameter file first name*/
 5821:     strcat(rfileres,".");    /* */
 5822:     strcat(rfileres,optionfilext);    /* Other files have txt extension */
 5823:     if((ficres =fopen(rfileres,"w"))==NULL) {
 5824:       printf("Problem writing new parameter file: %s\n", fileres);goto end;
 5825:       fprintf(ficlog,"Problem writing new parameter file: %s\n", fileres);goto end;
 5826:     }
 5827:     fprintf(ficres,"#%s\n",version);
 5828:   }    /* End of mle != -3 */
 5829: 
 5830: 
 5831:   n= lastobs;
 5832:   num=lvector(1,n);
 5833:   moisnais=vector(1,n);
 5834:   annais=vector(1,n);
 5835:   moisdc=vector(1,n);
 5836:   andc=vector(1,n);
 5837:   agedc=vector(1,n);
 5838:   cod=ivector(1,n);
 5839:   weight=vector(1,n);
 5840:   for(i=1;i<=n;i++) weight[i]=1.0; /* Equal weights, 1 by default */
 5841:   mint=matrix(1,maxwav,1,n);
 5842:   anint=matrix(1,maxwav,1,n);
 5843:   s=imatrix(1,maxwav+1,1,n); /* s[i][j] health state for wave i and individual j */ 
 5844:   tab=ivector(1,NCOVMAX);
 5845:   ncodemax=ivector(1,NCOVMAX); /* Number of code per covariate; if O and 1 only, 2**ncov; V1+V2+V3+V4=>16 */
 5846: 
 5847:   /* Reads data from file datafile */
 5848:   if (readdata(datafile, firstobs, lastobs, &imx)==1)
 5849:     goto end;
 5850: 
 5851:   /* Calculation of the number of parameters from char model */
 5852:     /*    modelsav=V2+V1+V4+age*V3 strb=age*V3 stra=V2+V1+V4 
 5853: 	k=4 (age*V3) Tvar[k=4]= 3 (from V3) Tag[cptcovage=1]=4
 5854: 	k=3 V4 Tvar[k=3]= 4 (from V4)
 5855: 	k=2 V1 Tvar[k=2]= 1 (from V1)
 5856: 	k=1 Tvar[1]=2 (from V2)
 5857:     */
 5858:   Tvar=ivector(1,NCOVMAX); /* Was 15 changed to NCOVMAX. */
 5859:   /*  V2+V1+V4+age*V3 is a model with 4 covariates (3 plus signs). 
 5860:       For each model-covariate stores the data-covariate id. Tvar[1]=2, Tvar[2]=1, Tvar[3]=4, 
 5861:       Tvar[4=age*V3] is 3 and 'age' is recorded in Tage.
 5862:   */
 5863:   /* For model-covariate k tells which data-covariate to use but
 5864:     because this model-covariate is a construction we invent a new column
 5865:     ncovcol + k1
 5866:     If already ncovcol=4 and model=V2+V1+V1*V4+age*V3
 5867:     Tvar[3=V1*V4]=4+1 etc */
 5868:   Tprod=ivector(1,NCOVMAX); /* Gives the position of a product */
 5869:   /* Tprod[k1=1]=3(=V1*V4) for V2+V1+V1*V4+age*V3
 5870:      if  V2+V1+V1*V4+age*V3+V3*V2   TProd[k1=2]=5 (V3*V2)
 5871:   */
 5872:   Tvaraff=ivector(1,NCOVMAX); /* Unclear */
 5873:   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
 5874: 			    * For V3*V2 (in V2+V1+V1*V4+age*V3+V3*V2), V3*V2 position is 2nd. 
 5875: 			    * Tvard[k1=2][1]=3 (V3) Tvard[k1=2][2]=2(V2) */
 5876:   Tage=ivector(1,NCOVMAX); /* Gives the covariate id of covariates associated with age: V2 + V1 + age*V4 + V3*age
 5877: 			 4 covariates (3 plus signs)
 5878: 			 Tage[1=V3*age]= 4; Tage[2=age*V4] = 3
 5879: 		      */  
 5880: 
 5881:   if(decodemodel(model, lastobs) == 1)
 5882:     goto end;
 5883: 
 5884:   if((double)(lastobs-imx)/(double)imx > 1.10){
 5885:     nbwarn++;
 5886:     printf("Warning: The value of parameter lastobs=%d is big compared to the \n  effective number of cases imx=%d, please adjust, \n  otherwise you are allocating more memory than necessary.\n",lastobs, imx); 
 5887:     fprintf(ficlog,"Warning: The value of parameter lastobs=%d is big compared to the \n  effective number of cases imx=%d, please adjust, \n  otherwise you are allocating more memory than necessary.\n",lastobs, imx); 
 5888:   }
 5889:     /*  if(mle==1){*/
 5890:   if (weightopt != 1) { /* Maximisation without weights. We can have weights different from 1 but want no weight*/
 5891:     for(i=1;i<=imx;i++) weight[i]=1.0; /* changed to imx */
 5892:   }
 5893: 
 5894:     /*-calculation of age at interview from date of interview and age at death -*/
 5895:   agev=matrix(1,maxwav,1,imx);
 5896: 
 5897:   if(calandcheckages(imx, maxwav, &agemin, &agemax, &nberr, &nbwarn) == 1)
 5898:     goto end;
 5899: 
 5900: 
 5901:   agegomp=(int)agemin;
 5902:   free_vector(moisnais,1,n);
 5903:   free_vector(annais,1,n);
 5904:   /* free_matrix(mint,1,maxwav,1,n);
 5905:      free_matrix(anint,1,maxwav,1,n);*/
 5906:   free_vector(moisdc,1,n);
 5907:   free_vector(andc,1,n);
 5908:   /* */
 5909:   
 5910:   wav=ivector(1,imx);
 5911:   dh=imatrix(1,lastpass-firstpass+1,1,imx);
 5912:   bh=imatrix(1,lastpass-firstpass+1,1,imx);
 5913:   mw=imatrix(1,lastpass-firstpass+1,1,imx);
 5914:    
 5915:   /* Concatenates waves */
 5916:   concatwav(wav, dh, bh, mw, s, agedc, agev,  firstpass, lastpass, imx, nlstate, stepm);
 5917:   /* */
 5918:  
 5919:   /* Routine tricode is to calculate cptcoveff (real number of unique covariates) and to associate covariable number and modality */
 5920: 
 5921:   nbcode=imatrix(0,NCOVMAX,0,NCOVMAX); 
 5922:   ncodemax[1]=1;
 5923:   Ndum =ivector(-1,NCOVMAX);  
 5924:   if (ncovmodel > 2)
 5925:     tricode(Tvar,nbcode,imx, Ndum); /**< Fills nbcode[Tvar[j]][l]; */
 5926: 
 5927:   codtab=imatrix(1,100,1,10); /* codtab[h,k]=( (h-1) - mod(k-1,2**(k-1) )/2**(k-1) */
 5928:   /*printf(" codtab[1,1],codtab[100,10]=%d,%d\n", codtab[1][1],codtab[100][10]);*/
 5929:   h=0;
 5930: 
 5931: 
 5932:   /*if (cptcovn > 0) */
 5933:       
 5934:  
 5935:   m=pow(2,cptcoveff);
 5936:  
 5937:   for(k=1;k<=cptcoveff; k++){ /* scans any effective covariate */
 5938:     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 */ 
 5939:       for(j=1; j <= ncodemax[k]; j++){ /* For each modality of this covariate ncodemax=2*/
 5940: 	for(cpt=1; cpt <=pow(2,k-1); cpt++){  /* cpt=1 to 8/2**(3+1-1 or 3+1-3) =1 or 4 */ 
 5941: 	  h++;
 5942: 	  if (h>m) 
 5943: 	    h=1;
 5944: 	  /**< codtab(h,k)  k   = codtab[h,k]=( (h-1) - mod(k-1,2**(k-1) )/2**(k-1) + 1
 5945: 	   *     h     1     2     3     4
 5946: 	   *______________________________  
 5947: 	   *     1 i=1 1 i=1 1 i=1 1 i=1 1
 5948: 	   *     2     2     1     1     1
 5949: 	   *     3 i=2 1     2     1     1
 5950: 	   *     4     2     2     1     1
 5951: 	   *     5 i=3 1 i=2 1     2     1
 5952: 	   *     6     2     1     2     1
 5953: 	   *     7 i=4 1     2     2     1
 5954: 	   *     8     2     2     2     1
 5955: 	   *     9 i=5 1 i=3 1 i=2 1     1
 5956: 	   *    10     2     1     1     1
 5957: 	   *    11 i=6 1     2     1     1
 5958: 	   *    12     2     2     1     1
 5959: 	   *    13 i=7 1 i=4 1     2     1    
 5960: 	   *    14     2     1     2     1
 5961: 	   *    15 i=8 1     2     2     1
 5962: 	   *    16     2     2     2     1
 5963: 	   */
 5964: 	  codtab[h][k]=j;
 5965: 	  /*codtab[h][Tvar[k]]=j;*/
 5966: 	  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]]);
 5967: 	} 
 5968:       }
 5969:     }
 5970:   } 
 5971:   /* printf("codtab[1][2]=%d codtab[2][2]=%d",codtab[1][2],codtab[2][2]); 
 5972:      codtab[1][2]=1;codtab[2][2]=2; */
 5973:   /* for(i=1; i <=m ;i++){ 
 5974:      for(k=1; k <=cptcovn; k++){
 5975:        printf("i=%d k=%d %d %d ",i,k,codtab[i][k], cptcoveff);
 5976:      }
 5977:      printf("\n");
 5978:      }
 5979:      scanf("%d",i);*/
 5980: 
 5981:  free_ivector(Ndum,-1,NCOVMAX);
 5982: 
 5983: 
 5984:     
 5985:   /*------------ gnuplot -------------*/
 5986:   strcpy(optionfilegnuplot,optionfilefiname);
 5987:   if(mle==-3)
 5988:     strcat(optionfilegnuplot,"-mort");
 5989:   strcat(optionfilegnuplot,".gp");
 5990: 
 5991:   if((ficgp=fopen(optionfilegnuplot,"w"))==NULL) {
 5992:     printf("Problem with file %s",optionfilegnuplot);
 5993:   }
 5994:   else{
 5995:     fprintf(ficgp,"\n# %s\n", version); 
 5996:     fprintf(ficgp,"# %s\n", optionfilegnuplot); 
 5997:     //fprintf(ficgp,"set missing 'NaNq'\n");
 5998:     fprintf(ficgp,"set datafile missing 'NaNq'\n");
 5999:   }
 6000:   /*  fclose(ficgp);*/
 6001:   /*--------- index.htm --------*/
 6002: 
 6003:   strcpy(optionfilehtm,optionfilefiname); /* Main html file */
 6004:   if(mle==-3)
 6005:     strcat(optionfilehtm,"-mort");
 6006:   strcat(optionfilehtm,".htm");
 6007:   if((fichtm=fopen(optionfilehtm,"w"))==NULL)    {
 6008:     printf("Problem with %s \n",optionfilehtm);
 6009:     exit(0);
 6010:   }
 6011: 
 6012:   strcpy(optionfilehtmcov,optionfilefiname); /* Only for matrix of covariance */
 6013:   strcat(optionfilehtmcov,"-cov.htm");
 6014:   if((fichtmcov=fopen(optionfilehtmcov,"w"))==NULL)    {
 6015:     printf("Problem with %s \n",optionfilehtmcov), exit(0);
 6016:   }
 6017:   else{
 6018:   fprintf(fichtmcov,"<html><head>\n<title>IMaCh Cov %s</title></head>\n <body><font size=\"2\">%s <br> %s</font> \
 6019: <hr size=\"2\" color=\"#EC5E5E\"> \n\
 6020: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=%s<br>\n",\
 6021: 	  optionfilehtmcov,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);
 6022:   }
 6023: 
 6024:   fprintf(fichtm,"<html><head>\n<title>IMaCh %s</title></head>\n <body><font size=\"2\">%s <br> %s</font> \
 6025: <hr size=\"2\" color=\"#EC5E5E\"> \n\
 6026: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=%s<br>\n\
 6027: \n\
 6028: <hr  size=\"2\" color=\"#EC5E5E\">\
 6029:  <ul><li><h4>Parameter files</h4>\n\
 6030:  - Parameter file: <a href=\"%s.%s\">%s.%s</a><br>\n\
 6031:  - Copy of the parameter file: <a href=\"o%s\">o%s</a><br>\n\
 6032:  - Log file of the run: <a href=\"%s\">%s</a><br>\n\
 6033:  - Gnuplot file name: <a href=\"%s\">%s</a><br>\n\
 6034:  - Date and time at start: %s</ul>\n",\
 6035: 	  optionfilehtm,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model,\
 6036: 	  optionfilefiname,optionfilext,optionfilefiname,optionfilext,\
 6037: 	  fileres,fileres,\
 6038: 	  filelog,filelog,optionfilegnuplot,optionfilegnuplot,strstart);
 6039:   fflush(fichtm);
 6040: 
 6041:   strcpy(pathr,path);
 6042:   strcat(pathr,optionfilefiname);
 6043:   chdir(optionfilefiname); /* Move to directory named optionfile */
 6044:   
 6045:   /* Calculates basic frequencies. Computes observed prevalence at single age
 6046:      and prints on file fileres'p'. */
 6047:   freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint,strstart);
 6048: 
 6049:   fprintf(fichtm,"\n");
 6050:   fprintf(fichtm,"<br>Total number of observations=%d <br>\n\
 6051: Youngest age at first (selected) pass %.2f, oldest age %.2f<br>\n\
 6052: Interval (in months) between two waves: Min=%d Max=%d Mean=%.2lf<br>\n",\
 6053: 	  imx,agemin,agemax,jmin,jmax,jmean);
 6054:   pmmij= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
 6055:     oldms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
 6056:     newms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
 6057:     savms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
 6058:     oldm=oldms; newm=newms; savm=savms; /* Keeps fixed addresses to free */
 6059:     
 6060:    
 6061:   /* For Powell, parameters are in a vector p[] starting at p[1]
 6062:      so we point p on param[1][1] so that p[1] maps on param[1][1][1] */
 6063:   p=param[1][1]; /* *(*(*(param +1)+1)+0) */
 6064: 
 6065:   globpr=0; /* To get the number ipmx of contributions and the sum of weights*/
 6066: 
 6067:   if (mle==-3){
 6068:     ximort=matrix(1,NDIM,1,NDIM); 
 6069: /*     ximort=gsl_matrix_alloc(1,NDIM,1,NDIM); */
 6070:     cens=ivector(1,n);
 6071:     ageexmed=vector(1,n);
 6072:     agecens=vector(1,n);
 6073:     dcwave=ivector(1,n);
 6074:  
 6075:     for (i=1; i<=imx; i++){
 6076:       dcwave[i]=-1;
 6077:       for (m=firstpass; m<=lastpass; m++)
 6078: 	if (s[m][i]>nlstate) {
 6079: 	  dcwave[i]=m;
 6080: 	  /*	printf("i=%d j=%d s=%d dcwave=%d\n",i,j, s[j][i],dcwave[i]);*/
 6081: 	  break;
 6082: 	}
 6083:     }
 6084: 
 6085:     for (i=1; i<=imx; i++) {
 6086:       if (wav[i]>0){
 6087: 	ageexmed[i]=agev[mw[1][i]][i];
 6088: 	j=wav[i];
 6089: 	agecens[i]=1.; 
 6090: 
 6091: 	if (ageexmed[i]> 1 && wav[i] > 0){
 6092: 	  agecens[i]=agev[mw[j][i]][i];
 6093: 	  cens[i]= 1;
 6094: 	}else if (ageexmed[i]< 1) 
 6095: 	  cens[i]= -1;
 6096: 	if (agedc[i]< AGESUP && agedc[i]>1 && dcwave[i]>firstpass && dcwave[i]<=lastpass)
 6097: 	  cens[i]=0 ;
 6098:       }
 6099:       else cens[i]=-1;
 6100:     }
 6101:     
 6102:     for (i=1;i<=NDIM;i++) {
 6103:       for (j=1;j<=NDIM;j++)
 6104: 	ximort[i][j]=(i == j ? 1.0 : 0.0);
 6105:     }
 6106:     
 6107:     /*p[1]=0.0268; p[NDIM]=0.083;*/
 6108:     /*printf("%lf %lf", p[1], p[2]);*/
 6109:     
 6110:     
 6111: #ifdef GSL
 6112:     printf("GSL optimization\n");  fprintf(ficlog,"Powell\n");
 6113: #else
 6114:     printf("Powell\n");  fprintf(ficlog,"Powell\n");
 6115: #endif
 6116:     strcpy(filerespow,"pow-mort"); 
 6117:     strcat(filerespow,fileres);
 6118:     if((ficrespow=fopen(filerespow,"w"))==NULL) {
 6119:       printf("Problem with resultfile: %s\n", filerespow);
 6120:       fprintf(ficlog,"Problem with resultfile: %s\n", filerespow);
 6121:     }
 6122: #ifdef GSL
 6123:     fprintf(ficrespow,"# GSL optimization\n# iter -2*LL");
 6124: #else
 6125:     fprintf(ficrespow,"# Powell\n# iter -2*LL");
 6126: #endif
 6127:     /*  for (i=1;i<=nlstate;i++)
 6128: 	for(j=1;j<=nlstate+ndeath;j++)
 6129: 	if(j!=i)fprintf(ficrespow," p%1d%1d",i,j);
 6130:     */
 6131:     fprintf(ficrespow,"\n");
 6132: #ifdef GSL
 6133:     /* gsl starts here */ 
 6134:     T = gsl_multimin_fminimizer_nmsimplex;
 6135:     gsl_multimin_fminimizer *sfm = NULL;
 6136:     gsl_vector *ss, *x;
 6137:     gsl_multimin_function minex_func;
 6138: 
 6139:     /* Initial vertex size vector */
 6140:     ss = gsl_vector_alloc (NDIM);
 6141:     
 6142:     if (ss == NULL){
 6143:       GSL_ERROR_VAL ("failed to allocate space for ss", GSL_ENOMEM, 0);
 6144:     }
 6145:     /* Set all step sizes to 1 */
 6146:     gsl_vector_set_all (ss, 0.001);
 6147: 
 6148:     /* Starting point */
 6149:     
 6150:     x = gsl_vector_alloc (NDIM);
 6151:     
 6152:     if (x == NULL){
 6153:       gsl_vector_free(ss);
 6154:       GSL_ERROR_VAL ("failed to allocate space for x", GSL_ENOMEM, 0);
 6155:     }
 6156:   
 6157:     /* Initialize method and iterate */
 6158:     /*     p[1]=0.0268; p[NDIM]=0.083; */
 6159: /*     gsl_vector_set(x, 0, 0.0268); */
 6160: /*     gsl_vector_set(x, 1, 0.083); */
 6161:     gsl_vector_set(x, 0, p[1]);
 6162:     gsl_vector_set(x, 1, p[2]);
 6163: 
 6164:     minex_func.f = &gompertz_f;
 6165:     minex_func.n = NDIM;
 6166:     minex_func.params = (void *)&p; /* ??? */
 6167:     
 6168:     sfm = gsl_multimin_fminimizer_alloc (T, NDIM);
 6169:     gsl_multimin_fminimizer_set (sfm, &minex_func, x, ss);
 6170:     
 6171:     printf("Iterations beginning .....\n\n");
 6172:     printf("Iter. #    Intercept       Slope     -Log Likelihood     Simplex size\n");
 6173: 
 6174:     iteri=0;
 6175:     while (rval == GSL_CONTINUE){
 6176:       iteri++;
 6177:       status = gsl_multimin_fminimizer_iterate(sfm);
 6178:       
 6179:       if (status) printf("error: %s\n", gsl_strerror (status));
 6180:       fflush(0);
 6181:       
 6182:       if (status) 
 6183:         break;
 6184:       
 6185:       rval = gsl_multimin_test_size (gsl_multimin_fminimizer_size (sfm), 1e-6);
 6186:       ssval = gsl_multimin_fminimizer_size (sfm);
 6187:       
 6188:       if (rval == GSL_SUCCESS)
 6189:         printf ("converged to a local maximum at\n");
 6190:       
 6191:       printf("%5d ", iteri);
 6192:       for (it = 0; it < NDIM; it++){
 6193: 	printf ("%10.5f ", gsl_vector_get (sfm->x, it));
 6194:       }
 6195:       printf("f() = %-10.5f ssize = %.7f\n", sfm->fval, ssval);
 6196:     }
 6197:     
 6198:     printf("\n\n Please note: Program should be run many times with varying starting points to detemine global maximum\n\n");
 6199:     
 6200:     gsl_vector_free(x); /* initial values */
 6201:     gsl_vector_free(ss); /* inital step size */
 6202:     for (it=0; it<NDIM; it++){
 6203:       p[it+1]=gsl_vector_get(sfm->x,it);
 6204:       fprintf(ficrespow," %.12lf", p[it]);
 6205:     }
 6206:     gsl_multimin_fminimizer_free (sfm); /* p *(sfm.x.data) et p *(sfm.x.data+1)  */
 6207: #endif
 6208: #ifdef POWELL
 6209:      powell(p,ximort,NDIM,ftol,&iter,&fret,gompertz);
 6210: #endif  
 6211:     fclose(ficrespow);
 6212:     
 6213:     hesscov(matcov, p, NDIM, delti, 1e-4, gompertz); 
 6214: 
 6215:     for(i=1; i <=NDIM; i++)
 6216:       for(j=i+1;j<=NDIM;j++)
 6217: 	matcov[i][j]=matcov[j][i];
 6218:     
 6219:     printf("\nCovariance matrix\n ");
 6220:     for(i=1; i <=NDIM; i++) {
 6221:       for(j=1;j<=NDIM;j++){ 
 6222: 	printf("%f ",matcov[i][j]);
 6223:       }
 6224:       printf("\n ");
 6225:     }
 6226:     
 6227:     printf("iter=%d MLE=%f Eq=%lf*exp(%lf*(age-%d))\n",iter,-gompertz(p),p[1],p[2],agegomp);
 6228:     for (i=1;i<=NDIM;i++) 
 6229:       printf("%f [%f ; %f]\n",p[i],p[i]-2*sqrt(matcov[i][i]),p[i]+2*sqrt(matcov[i][i]));
 6230: 
 6231:     lsurv=vector(1,AGESUP);
 6232:     lpop=vector(1,AGESUP);
 6233:     tpop=vector(1,AGESUP);
 6234:     lsurv[agegomp]=100000;
 6235:     
 6236:     for (k=agegomp;k<=AGESUP;k++) {
 6237:       agemortsup=k;
 6238:       if (p[1]*exp(p[2]*(k-agegomp))>1) break;
 6239:     }
 6240:     
 6241:     for (k=agegomp;k<agemortsup;k++)
 6242:       lsurv[k+1]=lsurv[k]-lsurv[k]*(p[1]*exp(p[2]*(k-agegomp)));
 6243:     
 6244:     for (k=agegomp;k<agemortsup;k++){
 6245:       lpop[k]=(lsurv[k]+lsurv[k+1])/2.;
 6246:       sumlpop=sumlpop+lpop[k];
 6247:     }
 6248:     
 6249:     tpop[agegomp]=sumlpop;
 6250:     for (k=agegomp;k<(agemortsup-3);k++){
 6251:       /*  tpop[k+1]=2;*/
 6252:       tpop[k+1]=tpop[k]-lpop[k];
 6253:     }
 6254:     
 6255:     
 6256:     printf("\nAge   lx     qx    dx    Lx     Tx     e(x)\n");
 6257:     for (k=agegomp;k<(agemortsup-2);k++) 
 6258:       printf("%d %.0lf %lf %.0lf %.0lf %.0lf %lf\n",k,lsurv[k],p[1]*exp(p[2]*(k-agegomp)),(p[1]*exp(p[2]*(k-agegomp)))*lsurv[k],lpop[k],tpop[k],tpop[k]/lsurv[k]);
 6259:     
 6260:     
 6261:     replace_back_to_slash(pathc,pathcd); /* Even gnuplot wants a / */
 6262:     printinggnuplotmort(fileres, optionfilefiname,ageminpar,agemaxpar,fage, pathc,p);
 6263:     
 6264:     printinghtmlmort(fileres,title,datafile, firstpass, lastpass, \
 6265: 		     stepm, weightopt,\
 6266: 		     model,imx,p,matcov,agemortsup);
 6267:     
 6268:     free_vector(lsurv,1,AGESUP);
 6269:     free_vector(lpop,1,AGESUP);
 6270:     free_vector(tpop,1,AGESUP);
 6271: #ifdef GSL
 6272:     free_ivector(cens,1,n);
 6273:     free_vector(agecens,1,n);
 6274:     free_ivector(dcwave,1,n);
 6275:     free_matrix(ximort,1,NDIM,1,NDIM);
 6276: #endif
 6277:   } /* Endof if mle==-3 */
 6278:   
 6279:   else{ /* For mle >=1 */
 6280:     globpr=0;/* debug */
 6281:     likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
 6282:     printf("First Likeli=%12.6f ipmx=%ld sw=%12.6f",fretone,ipmx,sw);
 6283:     for (k=1; k<=npar;k++)
 6284:       printf(" %d %8.5f",k,p[k]);
 6285:     printf("\n");
 6286:     globpr=1; /* to print the contributions */
 6287:     likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
 6288:     printf("Second Likeli=%12.6f ipmx=%ld sw=%12.6f",fretone,ipmx,sw);
 6289:     for (k=1; k<=npar;k++)
 6290:       printf(" %d %8.5f",k,p[k]);
 6291:     printf("\n");
 6292:     if(mle>=1){ /* Could be 1 or 2 */
 6293:       mlikeli(ficres,p, npar, ncovmodel, nlstate, ftol, func);
 6294:     }
 6295:     
 6296:     /*--------- results files --------------*/
 6297:     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);
 6298:     
 6299:     
 6300:     fprintf(ficres,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
 6301:     printf("# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
 6302:     fprintf(ficlog,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
 6303:     for(i=1,jk=1; i <=nlstate; i++){
 6304:       for(k=1; k <=(nlstate+ndeath); k++){
 6305: 	if (k != i) {
 6306: 	  printf("%d%d ",i,k);
 6307: 	  fprintf(ficlog,"%d%d ",i,k);
 6308: 	  fprintf(ficres,"%1d%1d ",i,k);
 6309: 	  for(j=1; j <=ncovmodel; j++){
 6310: 	    printf("%lf ",p[jk]);
 6311: 	    fprintf(ficlog,"%lf ",p[jk]);
 6312: 	    fprintf(ficres,"%lf ",p[jk]);
 6313: 	    jk++; 
 6314: 	  }
 6315: 	  printf("\n");
 6316: 	  fprintf(ficlog,"\n");
 6317: 	  fprintf(ficres,"\n");
 6318: 	}
 6319:       }
 6320:     }
 6321:     if(mle!=0){
 6322:       /* Computing hessian and covariance matrix */
 6323:       ftolhess=ftol; /* Usually correct */
 6324:       hesscov(matcov, p, npar, delti, ftolhess, func);
 6325:     }
 6326:     fprintf(ficres,"# Scales (for hessian or gradient estimation)\n");
 6327:     printf("# Scales (for hessian or gradient estimation)\n");
 6328:     fprintf(ficlog,"# Scales (for hessian or gradient estimation)\n");
 6329:     for(i=1,jk=1; i <=nlstate; i++){
 6330:       for(j=1; j <=nlstate+ndeath; j++){
 6331: 	if (j!=i) {
 6332: 	  fprintf(ficres,"%1d%1d",i,j);
 6333: 	  printf("%1d%1d",i,j);
 6334: 	  fprintf(ficlog,"%1d%1d",i,j);
 6335: 	  for(k=1; k<=ncovmodel;k++){
 6336: 	    printf(" %.5e",delti[jk]);
 6337: 	    fprintf(ficlog," %.5e",delti[jk]);
 6338: 	    fprintf(ficres," %.5e",delti[jk]);
 6339: 	    jk++;
 6340: 	  }
 6341: 	  printf("\n");
 6342: 	  fprintf(ficlog,"\n");
 6343: 	  fprintf(ficres,"\n");
 6344: 	}
 6345:       }
 6346:     }
 6347:     
 6348:     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");
 6349:     if(mle>=1)
 6350:       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");
 6351:     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");
 6352:     /* # 121 Var(a12)\n\ */
 6353:     /* # 122 Cov(b12,a12) Var(b12)\n\ */
 6354:     /* # 131 Cov(a13,a12) Cov(a13,b12, Var(a13)\n\ */
 6355:     /* # 132 Cov(b13,a12) Cov(b13,b12, Cov(b13,a13) Var(b13)\n\ */
 6356:     /* # 212 Cov(a21,a12) Cov(a21,b12, Cov(a21,a13) Cov(a21,b13) Var(a21)\n\ */
 6357:     /* # 212 Cov(b21,a12) Cov(b21,b12, Cov(b21,a13) Cov(b21,b13) Cov(b21,a21) Var(b21)\n\ */
 6358:     /* # 232 Cov(a23,a12) Cov(a23,b12, Cov(a23,a13) Cov(a23,b13) Cov(a23,a21) Cov(a23,b21) Var(a23)\n\ */
 6359:     /* # 232 Cov(b23,a12) Cov(b23,b12) ... Var (b23)\n" */
 6360:     
 6361:     
 6362:     /* Just to have a covariance matrix which will be more understandable
 6363:        even is we still don't want to manage dictionary of variables
 6364:     */
 6365:     for(itimes=1;itimes<=2;itimes++){
 6366:       jj=0;
 6367:       for(i=1; i <=nlstate; i++){
 6368: 	for(j=1; j <=nlstate+ndeath; j++){
 6369: 	  if(j==i) continue;
 6370: 	  for(k=1; k<=ncovmodel;k++){
 6371: 	    jj++;
 6372: 	    ca[0]= k+'a'-1;ca[1]='\0';
 6373: 	    if(itimes==1){
 6374: 	      if(mle>=1)
 6375: 		printf("#%1d%1d%d",i,j,k);
 6376: 	      fprintf(ficlog,"#%1d%1d%d",i,j,k);
 6377: 	      fprintf(ficres,"#%1d%1d%d",i,j,k);
 6378: 	    }else{
 6379: 	      if(mle>=1)
 6380: 		printf("%1d%1d%d",i,j,k);
 6381: 	      fprintf(ficlog,"%1d%1d%d",i,j,k);
 6382: 	      fprintf(ficres,"%1d%1d%d",i,j,k);
 6383: 	    }
 6384: 	    ll=0;
 6385: 	    for(li=1;li <=nlstate; li++){
 6386: 	      for(lj=1;lj <=nlstate+ndeath; lj++){
 6387: 		if(lj==li) continue;
 6388: 		for(lk=1;lk<=ncovmodel;lk++){
 6389: 		  ll++;
 6390: 		  if(ll<=jj){
 6391: 		    cb[0]= lk +'a'-1;cb[1]='\0';
 6392: 		    if(ll<jj){
 6393: 		      if(itimes==1){
 6394: 			if(mle>=1)
 6395: 			  printf(" Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
 6396: 			fprintf(ficlog," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
 6397: 			fprintf(ficres," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
 6398: 		      }else{
 6399: 			if(mle>=1)
 6400: 			  printf(" %.5e",matcov[jj][ll]); 
 6401: 			fprintf(ficlog," %.5e",matcov[jj][ll]); 
 6402: 			fprintf(ficres," %.5e",matcov[jj][ll]); 
 6403: 		      }
 6404: 		    }else{
 6405: 		      if(itimes==1){
 6406: 			if(mle>=1)
 6407: 			  printf(" Var(%s%1d%1d)",ca,i,j);
 6408: 			fprintf(ficlog," Var(%s%1d%1d)",ca,i,j);
 6409: 			fprintf(ficres," Var(%s%1d%1d)",ca,i,j);
 6410: 		      }else{
 6411: 			if(mle>=1)
 6412: 			  printf(" %.5e",matcov[jj][ll]); 
 6413: 			fprintf(ficlog," %.5e",matcov[jj][ll]); 
 6414: 			fprintf(ficres," %.5e",matcov[jj][ll]); 
 6415: 		      }
 6416: 		    }
 6417: 		  }
 6418: 		} /* end lk */
 6419: 	      } /* end lj */
 6420: 	    } /* end li */
 6421: 	    if(mle>=1)
 6422: 	      printf("\n");
 6423: 	    fprintf(ficlog,"\n");
 6424: 	    fprintf(ficres,"\n");
 6425: 	    numlinepar++;
 6426: 	  } /* end k*/
 6427: 	} /*end j */
 6428:       } /* end i */
 6429:     } /* end itimes */
 6430:     
 6431:     fflush(ficlog);
 6432:     fflush(ficres);
 6433:     
 6434:     while((c=getc(ficpar))=='#' && c!= EOF){
 6435:       ungetc(c,ficpar);
 6436:       fgets(line, MAXLINE, ficpar);
 6437:       fputs(line,stdout);
 6438:       fputs(line,ficparo);
 6439:     }
 6440:     ungetc(c,ficpar);
 6441:     
 6442:     estepm=0;
 6443:     fscanf(ficpar,"agemin=%lf agemax=%lf bage=%lf fage=%lf estepm=%d\n",&ageminpar,&agemaxpar, &bage, &fage, &estepm);
 6444:     if (estepm==0 || estepm < stepm) estepm=stepm;
 6445:     if (fage <= 2) {
 6446:       bage = ageminpar;
 6447:       fage = agemaxpar;
 6448:     }
 6449:     
 6450:     fprintf(ficres,"# agemin agemax for life expectancy, bage fage (if mle==0 ie no data nor Max likelihood).\n");
 6451:     fprintf(ficres,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d\n",ageminpar,agemaxpar,bage,fage, estepm);
 6452:     fprintf(ficparo,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d\n",ageminpar,agemaxpar,bage,fage, estepm);
 6453:     
 6454:     while((c=getc(ficpar))=='#' && c!= EOF){
 6455:       ungetc(c,ficpar);
 6456:       fgets(line, MAXLINE, ficpar);
 6457:       fputs(line,stdout);
 6458:       fputs(line,ficparo);
 6459:     }
 6460:     ungetc(c,ficpar);
 6461:     
 6462:     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);
 6463:     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);
 6464:     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);
 6465:     printf("begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf mov_average=%d\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,mobilav);
 6466:     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);
 6467:     
 6468:     while((c=getc(ficpar))=='#' && c!= EOF){
 6469:       ungetc(c,ficpar);
 6470:       fgets(line, MAXLINE, ficpar);
 6471:       fputs(line,stdout);
 6472:       fputs(line,ficparo);
 6473:     }
 6474:     ungetc(c,ficpar);
 6475:     
 6476:     
 6477:     dateprev1=anprev1+(mprev1-1)/12.+(jprev1-1)/365.;
 6478:     dateprev2=anprev2+(mprev2-1)/12.+(jprev2-1)/365.;
 6479:     
 6480:     fscanf(ficpar,"pop_based=%d\n",&popbased);
 6481:     fprintf(ficparo,"pop_based=%d\n",popbased);   
 6482:     fprintf(ficres,"pop_based=%d\n",popbased);   
 6483:     
 6484:     while((c=getc(ficpar))=='#' && c!= EOF){
 6485:       ungetc(c,ficpar);
 6486:       fgets(line, MAXLINE, ficpar);
 6487:       fputs(line,stdout);
 6488:       fputs(line,ficparo);
 6489:     }
 6490:     ungetc(c,ficpar);
 6491:     
 6492:     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);
 6493:     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);
 6494:     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);
 6495:     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);
 6496:     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);
 6497:     /* day and month of proj2 are not used but only year anproj2.*/
 6498:     
 6499:     
 6500:     
 6501:      /* freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint); */
 6502:     /* ,dateprev1,dateprev2,jprev1, mprev1,anprev1,jprev2, mprev2,anprev2); */
 6503:     
 6504:     replace_back_to_slash(pathc,pathcd); /* Even gnuplot wants a / */
 6505:     printinggnuplot(fileres, optionfilefiname,ageminpar,agemaxpar,fage, pathc,p);
 6506:     
 6507:     printinghtml(fileres,title,datafile, firstpass, lastpass, stepm, weightopt,\
 6508: 		 model,imx,jmin,jmax,jmean,rfileres,popforecast,estepm,\
 6509: 		 jprev1,mprev1,anprev1,jprev2,mprev2,anprev2);
 6510:       
 6511:    /*------------ free_vector  -------------*/
 6512:    /*  chdir(path); */
 6513:  
 6514:     free_ivector(wav,1,imx);
 6515:     free_imatrix(dh,1,lastpass-firstpass+1,1,imx);
 6516:     free_imatrix(bh,1,lastpass-firstpass+1,1,imx);
 6517:     free_imatrix(mw,1,lastpass-firstpass+1,1,imx);   
 6518:     free_lvector(num,1,n);
 6519:     free_vector(agedc,1,n);
 6520:     /*free_matrix(covar,0,NCOVMAX,1,n);*/
 6521:     /*free_matrix(covar,1,NCOVMAX,1,n);*/
 6522:     fclose(ficparo);
 6523:     fclose(ficres);
 6524: 
 6525: 
 6526:     /*--------------- Prevalence limit  (period or stable prevalence) --------------*/
 6527: #include "prevlim.h"  /* Use ficrespl, ficlog */
 6528:     fclose(ficrespl);
 6529: 
 6530: #ifdef FREEEXIT2
 6531: #include "freeexit2.h"
 6532: #endif
 6533: 
 6534:     /*------------- h Pij x at various ages ------------*/
 6535: #include "hpijx.h"
 6536:     fclose(ficrespij);
 6537: 
 6538:   /*-------------- Variance of one-step probabilities---*/
 6539:     k=1;
 6540:     varprob(optionfilefiname, matcov, p, delti, nlstate, bage, fage,k,Tvar,nbcode, ncodemax,strstart);
 6541: 
 6542: 
 6543:     probs= ma3x(1,AGESUP,1,NCOVMAX, 1,NCOVMAX);
 6544:     for(i=1;i<=AGESUP;i++)
 6545:       for(j=1;j<=NCOVMAX;j++)
 6546: 	for(k=1;k<=NCOVMAX;k++)
 6547: 	  probs[i][j][k]=0.;
 6548: 
 6549:     /*---------- Forecasting ------------------*/
 6550:     /*if((stepm == 1) && (strcmp(model,".")==0)){*/
 6551:     if(prevfcast==1){
 6552:       /*    if(stepm ==1){*/
 6553:       prevforecast(fileres, anproj1, mproj1, jproj1, agemin, agemax, dateprev1, dateprev2, mobilavproj, bage, fage, firstpass, lastpass, anproj2, p, cptcoveff);
 6554:       /* (popforecast==1) populforecast(fileres, anpyram,mpyram,jpyram, agemin,agemax, dateprev1, dateprev2,mobilav, agedeb, fage, popforecast, popfile, anpyram1,p, i1);*/
 6555:       /*      }  */
 6556:       /*      else{ */
 6557:       /*        erreur=108; */
 6558:       /*        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); */
 6559:       /*        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); */
 6560:       /*      } */
 6561:     }
 6562:   
 6563: 
 6564:     /* Computes prevalence between agemin (i.e minimal age computed) and no more ageminpar */
 6565: 
 6566:     prevalence(probs, agemin, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass);
 6567:     /*  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",\
 6568: 	ageminpar, agemax, s[lastpass][imx], agev[lastpass][imx], nlstate, imx, mint[lastpass][imx],anint[lastpass][imx], dateprev1, dateprev2, firstpass, lastpass);
 6569:     */
 6570: 
 6571:     if (mobilav!=0) {
 6572:       mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
 6573:       if (movingaverage(probs, bage, fage, mobaverage,mobilav)!=0){
 6574: 	fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
 6575: 	printf(" Error in movingaverage mobilav=%d\n",mobilav);
 6576:       }
 6577:     }
 6578: 
 6579: 
 6580:     /*---------- Health expectancies, no variances ------------*/
 6581: 
 6582:     strcpy(filerese,"e");
 6583:     strcat(filerese,fileres);
 6584:     if((ficreseij=fopen(filerese,"w"))==NULL) {
 6585:       printf("Problem with Health Exp. resultfile: %s\n", filerese); exit(0);
 6586:       fprintf(ficlog,"Problem with Health Exp. resultfile: %s\n", filerese); exit(0);
 6587:     }
 6588:     printf("Computing Health Expectancies: result on file '%s' \n", filerese);
 6589:     fprintf(ficlog,"Computing Health Expectancies: result on file '%s' \n", filerese);
 6590:     /*for(cptcov=1,k=0;cptcov<=i1;cptcov++){
 6591:       for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*/
 6592:           
 6593:     for (k=1; k <= (int) pow(2,cptcoveff); k++){
 6594: 	fprintf(ficreseij,"\n#****** ");
 6595: 	for(j=1;j<=cptcoveff;j++) {
 6596: 	  fprintf(ficreseij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
 6597: 	}
 6598: 	fprintf(ficreseij,"******\n");
 6599: 
 6600: 	eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
 6601: 	oldm=oldms;savm=savms;
 6602: 	evsij(eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k, estepm, strstart);  
 6603:       
 6604: 	free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);
 6605:       /*}*/
 6606:     }
 6607:     fclose(ficreseij);
 6608: 
 6609: 
 6610:     /*---------- Health expectancies and variances ------------*/
 6611: 
 6612: 
 6613:     strcpy(filerest,"t");
 6614:     strcat(filerest,fileres);
 6615:     if((ficrest=fopen(filerest,"w"))==NULL) {
 6616:       printf("Problem with total LE resultfile: %s\n", filerest);goto end;
 6617:       fprintf(ficlog,"Problem with total LE resultfile: %s\n", filerest);goto end;
 6618:     }
 6619:     printf("Computing Total Life expectancies with their standard errors: file '%s' \n", filerest); 
 6620:     fprintf(ficlog,"Computing Total Life expectancies with their standard errors: file '%s' \n", filerest); 
 6621: 
 6622: 
 6623:     strcpy(fileresstde,"stde");
 6624:     strcat(fileresstde,fileres);
 6625:     if((ficresstdeij=fopen(fileresstde,"w"))==NULL) {
 6626:       printf("Problem with Health Exp. and std errors resultfile: %s\n", fileresstde); exit(0);
 6627:       fprintf(ficlog,"Problem with Health Exp. and std errors resultfile: %s\n", fileresstde); exit(0);
 6628:     }
 6629:     printf("Computing Health Expectancies and standard errors: result on file '%s' \n", fileresstde);
 6630:     fprintf(ficlog,"Computing Health Expectancies and standard errors: result on file '%s' \n", fileresstde);
 6631: 
 6632:     strcpy(filerescve,"cve");
 6633:     strcat(filerescve,fileres);
 6634:     if((ficrescveij=fopen(filerescve,"w"))==NULL) {
 6635:       printf("Problem with Covar. Health Exp. resultfile: %s\n", filerescve); exit(0);
 6636:       fprintf(ficlog,"Problem with Covar. Health Exp. resultfile: %s\n", filerescve); exit(0);
 6637:     }
 6638:     printf("Computing Covar. of Health Expectancies: result on file '%s' \n", filerescve);
 6639:     fprintf(ficlog,"Computing Covar. of Health Expectancies: result on file '%s' \n", filerescve);
 6640: 
 6641:     strcpy(fileresv,"v");
 6642:     strcat(fileresv,fileres);
 6643:     if((ficresvij=fopen(fileresv,"w"))==NULL) {
 6644:       printf("Problem with variance resultfile: %s\n", fileresv);exit(0);
 6645:       fprintf(ficlog,"Problem with variance resultfile: %s\n", fileresv);exit(0);
 6646:     }
 6647:     printf("Computing Variance-covariance of DFLEs: file '%s' \n", fileresv);
 6648:     fprintf(ficlog,"Computing Variance-covariance of DFLEs: file '%s' \n", fileresv);
 6649: 
 6650:     /*for(cptcov=1,k=0;cptcov<=i1;cptcov++){
 6651:       for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*/
 6652:           
 6653:     for (k=1; k <= (int) pow(2,cptcoveff); k++){
 6654:     	fprintf(ficrest,"\n#****** ");
 6655: 	for(j=1;j<=cptcoveff;j++) 
 6656: 	  fprintf(ficrest,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
 6657: 	fprintf(ficrest,"******\n");
 6658: 
 6659: 	fprintf(ficresstdeij,"\n#****** ");
 6660: 	fprintf(ficrescveij,"\n#****** ");
 6661: 	for(j=1;j<=cptcoveff;j++) {
 6662: 	  fprintf(ficresstdeij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
 6663: 	  fprintf(ficrescveij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
 6664: 	}
 6665: 	fprintf(ficresstdeij,"******\n");
 6666: 	fprintf(ficrescveij,"******\n");
 6667: 
 6668: 	fprintf(ficresvij,"\n#****** ");
 6669: 	for(j=1;j<=cptcoveff;j++) 
 6670: 	  fprintf(ficresvij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
 6671: 	fprintf(ficresvij,"******\n");
 6672: 
 6673: 	eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
 6674: 	oldm=oldms;savm=savms;
 6675: 	cvevsij(eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k, estepm, delti, matcov, strstart);  
 6676: 	/*
 6677: 	 */
 6678: 	/* goto endfree; */
 6679:  
 6680: 	vareij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
 6681: 	pstamp(ficrest);
 6682: 
 6683: 
 6684: 	for(vpopbased=0; vpopbased <= popbased; vpopbased++){ /* Done for vpopbased=0 and vpopbased=1 if popbased==1*/
 6685: 	  oldm=oldms;savm=savms; /* Segmentation fault */
 6686: 	  cptcod= 0; /* To be deleted */
 6687: 	  varevsij(optionfilefiname, vareij, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k, estepm, cptcov,cptcod,vpopbased,mobilav, strstart); /* cptcod not initialized Intel */
 6688: 	  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 ");
 6689: 	  if(vpopbased==1)
 6690: 	    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);
 6691: 	  else
 6692: 	    fprintf(ficrest,"the age specific period (stable) prevalences in each health state \n");
 6693: 	  fprintf(ficrest,"# Age e.. (std) ");
 6694: 	  for (i=1;i<=nlstate;i++) fprintf(ficrest,"e.%d (std) ",i);
 6695: 	  fprintf(ficrest,"\n");
 6696: 
 6697: 	  epj=vector(1,nlstate+1);
 6698: 	  for(age=bage; age <=fage ;age++){
 6699: 	    prevalim(prlim, nlstate, p, age, oldm, savm,ftolpl,k);
 6700: 	    if (vpopbased==1) {
 6701: 	      if(mobilav ==0){
 6702: 		for(i=1; i<=nlstate;i++)
 6703: 		  prlim[i][i]=probs[(int)age][i][k];
 6704: 	      }else{ /* mobilav */ 
 6705: 		for(i=1; i<=nlstate;i++)
 6706: 		  prlim[i][i]=mobaverage[(int)age][i][k];
 6707: 	      }
 6708: 	    }
 6709: 	
 6710: 	    fprintf(ficrest," %4.0f",age);
 6711: 	    for(j=1, epj[nlstate+1]=0.;j <=nlstate;j++){
 6712: 	      for(i=1, epj[j]=0.;i <=nlstate;i++) {
 6713: 		epj[j] += prlim[i][i]*eij[i][j][(int)age];
 6714: 		/*  printf("%lf %lf ", prlim[i][i] ,eij[i][j][(int)age]);*/
 6715: 	      }
 6716: 	      epj[nlstate+1] +=epj[j];
 6717: 	    }
 6718: 
 6719: 	    for(i=1, vepp=0.;i <=nlstate;i++)
 6720: 	      for(j=1;j <=nlstate;j++)
 6721: 		vepp += vareij[i][j][(int)age];
 6722: 	    fprintf(ficrest," %7.3f (%7.3f)", epj[nlstate+1],sqrt(vepp));
 6723: 	    for(j=1;j <=nlstate;j++){
 6724: 	      fprintf(ficrest," %7.3f (%7.3f)", epj[j],sqrt(vareij[j][j][(int)age]));
 6725: 	    }
 6726: 	    fprintf(ficrest,"\n");
 6727: 	  }
 6728: 	}
 6729: 	free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);
 6730: 	free_ma3x(vareij,1,nlstate,1,nlstate,(int) bage, (int)fage);
 6731: 	free_vector(epj,1,nlstate+1);
 6732:       /*}*/
 6733:     }
 6734:     free_vector(weight,1,n);
 6735:     free_imatrix(Tvard,1,NCOVMAX,1,2);
 6736:     free_imatrix(s,1,maxwav+1,1,n);
 6737:     free_matrix(anint,1,maxwav,1,n); 
 6738:     free_matrix(mint,1,maxwav,1,n);
 6739:     free_ivector(cod,1,n);
 6740:     free_ivector(tab,1,NCOVMAX);
 6741:     fclose(ficresstdeij);
 6742:     fclose(ficrescveij);
 6743:     fclose(ficresvij);
 6744:     fclose(ficrest);
 6745:     fclose(ficpar);
 6746:   
 6747:     /*------- Variance of period (stable) prevalence------*/   
 6748: 
 6749:     strcpy(fileresvpl,"vpl");
 6750:     strcat(fileresvpl,fileres);
 6751:     if((ficresvpl=fopen(fileresvpl,"w"))==NULL) {
 6752:       printf("Problem with variance of period (stable) prevalence  resultfile: %s\n", fileresvpl);
 6753:       exit(0);
 6754:     }
 6755:     printf("Computing Variance-covariance of period (stable) prevalence: file '%s' \n", fileresvpl);
 6756: 
 6757:     /*for(cptcov=1,k=0;cptcov<=i1;cptcov++){
 6758:       for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*/
 6759:           
 6760:     for (k=1; k <= (int) pow(2,cptcoveff); k++){
 6761:     	fprintf(ficresvpl,"\n#****** ");
 6762: 	for(j=1;j<=cptcoveff;j++) 
 6763: 	  fprintf(ficresvpl,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
 6764: 	fprintf(ficresvpl,"******\n");
 6765:       
 6766: 	varpl=matrix(1,nlstate,(int) bage, (int) fage);
 6767: 	oldm=oldms;savm=savms;
 6768: 	varprevlim(fileres, varpl, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k,strstart);
 6769: 	free_matrix(varpl,1,nlstate,(int) bage, (int)fage);
 6770:       /*}*/
 6771:     }
 6772: 
 6773:     fclose(ficresvpl);
 6774: 
 6775:     /*---------- End : free ----------------*/
 6776:     if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
 6777:     free_ma3x(probs,1,AGESUP,1,NCOVMAX, 1,NCOVMAX);
 6778:   }  /* mle==-3 arrives here for freeing */
 6779:  endfree:
 6780:     free_matrix(prlim,1,nlstate,1,nlstate); /*here or after loop ? */
 6781:     free_matrix(pmmij,1,nlstate+ndeath,1,nlstate+ndeath);
 6782:     free_matrix(oldms, 1,nlstate+ndeath,1,nlstate+ndeath);
 6783:     free_matrix(newms, 1,nlstate+ndeath,1,nlstate+ndeath);
 6784:     free_matrix(savms, 1,nlstate+ndeath,1,nlstate+ndeath);
 6785:     free_matrix(covar,0,NCOVMAX,1,n);
 6786:     free_matrix(matcov,1,npar,1,npar);
 6787:     /*free_vector(delti,1,npar);*/
 6788:     free_ma3x(delti3,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel); 
 6789:     free_matrix(agev,1,maxwav,1,imx);
 6790:     free_ma3x(param,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel);
 6791: 
 6792:     free_ivector(ncodemax,1,NCOVMAX);
 6793:     free_ivector(Tvar,1,NCOVMAX);
 6794:     free_ivector(Tprod,1,NCOVMAX);
 6795:     free_ivector(Tvaraff,1,NCOVMAX);
 6796:     free_ivector(Tage,1,NCOVMAX);
 6797: 
 6798:     free_imatrix(nbcode,0,NCOVMAX,0,NCOVMAX);
 6799:     free_imatrix(codtab,1,100,1,10);
 6800:   fflush(fichtm);
 6801:   fflush(ficgp);
 6802:   
 6803: 
 6804:   if((nberr >0) || (nbwarn>0)){
 6805:     printf("End of Imach with %d errors and/or %d warnings\n",nberr,nbwarn);
 6806:     fprintf(ficlog,"End of Imach with %d errors and/or warnings %d\n",nberr,nbwarn);
 6807:   }else{
 6808:     printf("End of Imach\n");
 6809:     fprintf(ficlog,"End of Imach\n");
 6810:   }
 6811:   printf("See log file on %s\n",filelog);
 6812:   /*  gettimeofday(&end_time, (struct timezone*)0);*/  /* after time */
 6813:   /*(void) gettimeofday(&end_time,&tzp);*/
 6814:   rend_time = time(NULL);  
 6815:   end_time = *localtime(&rend_time);
 6816:   /* tml = *localtime(&end_time.tm_sec); */
 6817:   strcpy(strtend,asctime(&end_time));
 6818:   printf("Local time at start %s\nLocal time at end   %s",strstart, strtend); 
 6819:   fprintf(ficlog,"Local time at start %s\nLocal time at end   %s\n",strstart, strtend); 
 6820:   printf("Total time used %s\n", asc_diff_time(rend_time -rstart_time,tmpout));
 6821: 
 6822:   printf("Total time was %.0lf Sec.\n", difftime(rend_time,rstart_time));
 6823:   fprintf(ficlog,"Total time used %s\n", asc_diff_time(rend_time -rstart_time,tmpout));
 6824:   fprintf(ficlog,"Total time was %.0lf Sec.\n", difftime(rend_time,rstart_time));
 6825:   /*  printf("Total time was %d uSec.\n", total_usecs);*/
 6826: /*   if(fileappend(fichtm,optionfilehtm)){ */
 6827:   fprintf(fichtm,"<br>Local time at start %s<br>Local time at end   %s<br>\n</body></html>",strstart, strtend);
 6828:   fclose(fichtm);
 6829:   fprintf(fichtmcov,"<br>Local time at start %s<br>Local time at end   %s<br>\n</body></html>",strstart, strtend);
 6830:   fclose(fichtmcov);
 6831:   fclose(ficgp);
 6832:   fclose(ficlog);
 6833:   /*------ End -----------*/
 6834: 
 6835: 
 6836:    printf("Before Current directory %s!\n",pathcd);
 6837:    if(chdir(pathcd) != 0)
 6838:     printf("Can't move to directory %s!\n",path);
 6839:   if(getcwd(pathcd,MAXLINE) > 0)
 6840:     printf("Current directory %s!\n",pathcd);
 6841:   /*strcat(plotcmd,CHARSEPARATOR);*/
 6842:   sprintf(plotcmd,"gnuplot");
 6843: #ifdef _WIN32
 6844:   sprintf(plotcmd,"\"%sgnuplot.exe\"",pathimach);
 6845: #endif
 6846:   if(!stat(plotcmd,&info)){
 6847:     printf("Error or gnuplot program not found: '%s'\n",plotcmd);fflush(stdout);
 6848:     if(!stat(getenv("GNUPLOTBIN"),&info)){
 6849:       printf("Error or gnuplot program not found: '%s' Environment GNUPLOTBIN not set.\n",plotcmd);fflush(stdout);
 6850:     }else
 6851:       strcpy(pplotcmd,plotcmd);
 6852: #ifdef __unix
 6853:     strcpy(plotcmd,GNUPLOTPROGRAM);
 6854:     if(!stat(plotcmd,&info)){
 6855:       printf("Error gnuplot program not found: '%s'\n",plotcmd);fflush(stdout);
 6856:     }else
 6857:       strcpy(pplotcmd,plotcmd);
 6858: #endif
 6859:   }else
 6860:     strcpy(pplotcmd,plotcmd);
 6861:   
 6862:   sprintf(plotcmd,"%s %s",pplotcmd, optionfilegnuplot);
 6863:   printf("Starting graphs with: '%s'\n",plotcmd);fflush(stdout);
 6864: 
 6865:   if((outcmd=system(plotcmd)) != 0){
 6866:     printf("gnuplot command might not be in your path: '%s', err=%d\n", plotcmd, outcmd);
 6867:     printf("\n Trying if gnuplot resides on the same directory that IMaCh\n");
 6868:     sprintf(plotcmd,"%sgnuplot %s", pathimach, optionfilegnuplot);
 6869:     if((outcmd=system(plotcmd)) != 0)
 6870:       printf("\n Still a problem with gnuplot command %s, err=%d\n", plotcmd, outcmd);
 6871:   }
 6872:   printf(" Successful, please wait...");
 6873:   while (z[0] != 'q') {
 6874:     /* chdir(path); */
 6875:     printf("\nType e to edit results with your browser, g to graph again and q for exit: ");
 6876:     scanf("%s",z);
 6877: /*     if (z[0] == 'c') system("./imach"); */
 6878:     if (z[0] == 'e') {
 6879: #ifdef __APPLE__
 6880:       sprintf(pplotcmd, "open %s", optionfilehtm);
 6881: #elif __linux
 6882:       sprintf(pplotcmd, "xdg-open %s", optionfilehtm);
 6883: #else
 6884:       sprintf(pplotcmd, "%s", optionfilehtm);
 6885: #endif
 6886:       printf("Starting browser with: %s",pplotcmd);fflush(stdout);
 6887:       system(pplotcmd);
 6888:     }
 6889:     else if (z[0] == 'g') system(plotcmd);
 6890:     else if (z[0] == 'q') exit(0);
 6891:   }
 6892:   end:
 6893:   while (z[0] != 'q') {
 6894:     printf("\nType  q for exiting: ");
 6895:     scanf("%s",z);
 6896:   }
 6897: }

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