Annotation of imach/src/imach.c, revision 1.218

1.218   ! brouard     1: /* $Id: imach.c,v 1.217 2015/12/23 17:18:31 brouard Exp $
1.126     brouard     2:   $State: Exp $
1.163     brouard     3:   $Log: imach.c,v $
1.218   ! brouard     4:   Revision 1.217  2015/12/23 17:18:31  brouard
        !             5:   Summary: Experimental backcast
        !             6: 
1.217     brouard     7:   Revision 1.216  2015/12/18 17:32:11  brouard
                      8:   Summary: 0.98r4 Warning and status=-2
                      9: 
                     10:   Version 0.98r4 is now:
                     11:    - displaying an error when status is -1, date of interview unknown and date of death known;
                     12:    - permitting a status -2 when the vital status is unknown at a known date of right truncation.
                     13:   Older changes concerning s=-2, dating from 2005 have been supersed.
                     14: 
1.216     brouard    15:   Revision 1.215  2015/12/16 08:52:24  brouard
                     16:   Summary: 0.98r4 working
                     17: 
1.215     brouard    18:   Revision 1.214  2015/12/16 06:57:54  brouard
                     19:   Summary: temporary not working
                     20: 
1.214     brouard    21:   Revision 1.213  2015/12/11 18:22:17  brouard
                     22:   Summary: 0.98r4
                     23: 
1.213     brouard    24:   Revision 1.212  2015/11/21 12:47:24  brouard
                     25:   Summary: minor typo
                     26: 
1.212     brouard    27:   Revision 1.211  2015/11/21 12:41:11  brouard
                     28:   Summary: 0.98r3 with some graph of projected cross-sectional
                     29: 
                     30:   Author: Nicolas Brouard
                     31: 
1.211     brouard    32:   Revision 1.210  2015/11/18 17:41:20  brouard
                     33:   Summary: Start working on projected prevalences
                     34: 
1.210     brouard    35:   Revision 1.209  2015/11/17 22:12:03  brouard
                     36:   Summary: Adding ftolpl parameter
                     37:   Author: N Brouard
                     38: 
                     39:   We had difficulties to get smoothed confidence intervals. It was due
                     40:   to the period prevalence which wasn't computed accurately. The inner
                     41:   parameter ftolpl is now an outer parameter of the .imach parameter
                     42:   file after estepm. If ftolpl is small 1.e-4 and estepm too,
                     43:   computation are long.
                     44: 
1.209     brouard    45:   Revision 1.208  2015/11/17 14:31:57  brouard
                     46:   Summary: temporary
                     47: 
1.208     brouard    48:   Revision 1.207  2015/10/27 17:36:57  brouard
                     49:   *** empty log message ***
                     50: 
1.207     brouard    51:   Revision 1.206  2015/10/24 07:14:11  brouard
                     52:   *** empty log message ***
                     53: 
1.206     brouard    54:   Revision 1.205  2015/10/23 15:50:53  brouard
                     55:   Summary: 0.98r3 some clarification for graphs on likelihood contributions
                     56: 
1.205     brouard    57:   Revision 1.204  2015/10/01 16:20:26  brouard
                     58:   Summary: Some new graphs of contribution to likelihood
                     59: 
1.204     brouard    60:   Revision 1.203  2015/09/30 17:45:14  brouard
                     61:   Summary: looking at better estimation of the hessian
                     62: 
                     63:   Also a better criteria for convergence to the period prevalence And
                     64:   therefore adding the number of years needed to converge. (The
                     65:   prevalence in any alive state shold sum to one
                     66: 
1.203     brouard    67:   Revision 1.202  2015/09/22 19:45:16  brouard
                     68:   Summary: Adding some overall graph on contribution to likelihood. Might change
                     69: 
1.202     brouard    70:   Revision 1.201  2015/09/15 17:34:58  brouard
                     71:   Summary: 0.98r0
                     72: 
                     73:   - Some new graphs like suvival functions
                     74:   - Some bugs fixed like model=1+age+V2.
                     75: 
1.201     brouard    76:   Revision 1.200  2015/09/09 16:53:55  brouard
                     77:   Summary: Big bug thanks to Flavia
                     78: 
                     79:   Even model=1+age+V2. did not work anymore
                     80: 
1.200     brouard    81:   Revision 1.199  2015/09/07 14:09:23  brouard
                     82:   Summary: 0.98q6 changing default small png format for graph to vectorized svg.
                     83: 
1.199     brouard    84:   Revision 1.198  2015/09/03 07:14:39  brouard
                     85:   Summary: 0.98q5 Flavia
                     86: 
1.198     brouard    87:   Revision 1.197  2015/09/01 18:24:39  brouard
                     88:   *** empty log message ***
                     89: 
1.197     brouard    90:   Revision 1.196  2015/08/18 23:17:52  brouard
                     91:   Summary: 0.98q5
                     92: 
1.196     brouard    93:   Revision 1.195  2015/08/18 16:28:39  brouard
                     94:   Summary: Adding a hack for testing purpose
                     95: 
                     96:   After reading the title, ftol and model lines, if the comment line has
                     97:   a q, starting with #q, the answer at the end of the run is quit. It
                     98:   permits to run test files in batch with ctest. The former workaround was
                     99:   $ echo q | imach foo.imach
                    100: 
1.195     brouard   101:   Revision 1.194  2015/08/18 13:32:00  brouard
                    102:   Summary:  Adding error when the covariance matrix doesn't contain the exact number of lines required by the model line.
                    103: 
1.194     brouard   104:   Revision 1.193  2015/08/04 07:17:42  brouard
                    105:   Summary: 0.98q4
                    106: 
1.193     brouard   107:   Revision 1.192  2015/07/16 16:49:02  brouard
                    108:   Summary: Fixing some outputs
                    109: 
1.192     brouard   110:   Revision 1.191  2015/07/14 10:00:33  brouard
                    111:   Summary: Some fixes
                    112: 
1.191     brouard   113:   Revision 1.190  2015/05/05 08:51:13  brouard
                    114:   Summary: Adding digits in output parameters (7 digits instead of 6)
                    115: 
                    116:   Fix 1+age+.
                    117: 
1.190     brouard   118:   Revision 1.189  2015/04/30 14:45:16  brouard
                    119:   Summary: 0.98q2
                    120: 
1.189     brouard   121:   Revision 1.188  2015/04/30 08:27:53  brouard
                    122:   *** empty log message ***
                    123: 
1.188     brouard   124:   Revision 1.187  2015/04/29 09:11:15  brouard
                    125:   *** empty log message ***
                    126: 
1.187     brouard   127:   Revision 1.186  2015/04/23 12:01:52  brouard
                    128:   Summary: V1*age is working now, version 0.98q1
                    129: 
                    130:   Some codes had been disabled in order to simplify and Vn*age was
                    131:   working in the optimization phase, ie, giving correct MLE parameters,
                    132:   but, as usual, outputs were not correct and program core dumped.
                    133: 
1.186     brouard   134:   Revision 1.185  2015/03/11 13:26:42  brouard
                    135:   Summary: Inclusion of compile and links command line for Intel Compiler
                    136: 
1.185     brouard   137:   Revision 1.184  2015/03/11 11:52:39  brouard
                    138:   Summary: Back from Windows 8. Intel Compiler
                    139: 
1.184     brouard   140:   Revision 1.183  2015/03/10 20:34:32  brouard
                    141:   Summary: 0.98q0, trying with directest, mnbrak fixed
                    142: 
                    143:   We use directest instead of original Powell test; probably no
                    144:   incidence on the results, but better justifications;
                    145:   We fixed Numerical Recipes mnbrak routine which was wrong and gave
                    146:   wrong results.
                    147: 
1.183     brouard   148:   Revision 1.182  2015/02/12 08:19:57  brouard
                    149:   Summary: Trying to keep directest which seems simpler and more general
                    150:   Author: Nicolas Brouard
                    151: 
1.182     brouard   152:   Revision 1.181  2015/02/11 23:22:24  brouard
                    153:   Summary: Comments on Powell added
                    154: 
                    155:   Author:
                    156: 
1.181     brouard   157:   Revision 1.180  2015/02/11 17:33:45  brouard
                    158:   Summary: Finishing move from main to function (hpijx and prevalence_limit)
                    159: 
1.180     brouard   160:   Revision 1.179  2015/01/04 09:57:06  brouard
                    161:   Summary: back to OS/X
                    162: 
1.179     brouard   163:   Revision 1.178  2015/01/04 09:35:48  brouard
                    164:   *** empty log message ***
                    165: 
1.178     brouard   166:   Revision 1.177  2015/01/03 18:40:56  brouard
                    167:   Summary: Still testing ilc32 on OSX
                    168: 
1.177     brouard   169:   Revision 1.176  2015/01/03 16:45:04  brouard
                    170:   *** empty log message ***
                    171: 
1.176     brouard   172:   Revision 1.175  2015/01/03 16:33:42  brouard
                    173:   *** empty log message ***
                    174: 
1.175     brouard   175:   Revision 1.174  2015/01/03 16:15:49  brouard
                    176:   Summary: Still in cross-compilation
                    177: 
1.174     brouard   178:   Revision 1.173  2015/01/03 12:06:26  brouard
                    179:   Summary: trying to detect cross-compilation
                    180: 
1.173     brouard   181:   Revision 1.172  2014/12/27 12:07:47  brouard
                    182:   Summary: Back from Visual Studio and Intel, options for compiling for Windows XP
                    183: 
1.172     brouard   184:   Revision 1.171  2014/12/23 13:26:59  brouard
                    185:   Summary: Back from Visual C
                    186: 
                    187:   Still problem with utsname.h on Windows
                    188: 
1.171     brouard   189:   Revision 1.170  2014/12/23 11:17:12  brouard
                    190:   Summary: Cleaning some \%% back to %%
                    191: 
                    192:   The escape was mandatory for a specific compiler (which one?), but too many warnings.
                    193: 
1.170     brouard   194:   Revision 1.169  2014/12/22 23:08:31  brouard
                    195:   Summary: 0.98p
                    196: 
                    197:   Outputs some informations on compiler used, OS etc. Testing on different platforms.
                    198: 
1.169     brouard   199:   Revision 1.168  2014/12/22 15:17:42  brouard
1.170     brouard   200:   Summary: update
1.169     brouard   201: 
1.168     brouard   202:   Revision 1.167  2014/12/22 13:50:56  brouard
                    203:   Summary: Testing uname and compiler version and if compiled 32 or 64
                    204: 
                    205:   Testing on Linux 64
                    206: 
1.167     brouard   207:   Revision 1.166  2014/12/22 11:40:47  brouard
                    208:   *** empty log message ***
                    209: 
1.166     brouard   210:   Revision 1.165  2014/12/16 11:20:36  brouard
                    211:   Summary: After compiling on Visual C
                    212: 
                    213:   * imach.c (Module): Merging 1.61 to 1.162
                    214: 
1.165     brouard   215:   Revision 1.164  2014/12/16 10:52:11  brouard
                    216:   Summary: Merging with Visual C after suppressing some warnings for unused variables. Also fixing Saito's bug 0.98Xn
                    217: 
                    218:   * imach.c (Module): Merging 1.61 to 1.162
                    219: 
1.164     brouard   220:   Revision 1.163  2014/12/16 10:30:11  brouard
                    221:   * imach.c (Module): Merging 1.61 to 1.162
                    222: 
1.163     brouard   223:   Revision 1.162  2014/09/25 11:43:39  brouard
                    224:   Summary: temporary backup 0.99!
                    225: 
1.162     brouard   226:   Revision 1.1  2014/09/16 11:06:58  brouard
                    227:   Summary: With some code (wrong) for nlopt
                    228: 
                    229:   Author:
                    230: 
                    231:   Revision 1.161  2014/09/15 20:41:41  brouard
                    232:   Summary: Problem with macro SQR on Intel compiler
                    233: 
1.161     brouard   234:   Revision 1.160  2014/09/02 09:24:05  brouard
                    235:   *** empty log message ***
                    236: 
1.160     brouard   237:   Revision 1.159  2014/09/01 10:34:10  brouard
                    238:   Summary: WIN32
                    239:   Author: Brouard
                    240: 
1.159     brouard   241:   Revision 1.158  2014/08/27 17:11:51  brouard
                    242:   *** empty log message ***
                    243: 
1.158     brouard   244:   Revision 1.157  2014/08/27 16:26:55  brouard
                    245:   Summary: Preparing windows Visual studio version
                    246:   Author: Brouard
                    247: 
                    248:   In order to compile on Visual studio, time.h is now correct and time_t
                    249:   and tm struct should be used. difftime should be used but sometimes I
                    250:   just make the differences in raw time format (time(&now).
                    251:   Trying to suppress #ifdef LINUX
                    252:   Add xdg-open for __linux in order to open default browser.
                    253: 
1.157     brouard   254:   Revision 1.156  2014/08/25 20:10:10  brouard
                    255:   *** empty log message ***
                    256: 
1.156     brouard   257:   Revision 1.155  2014/08/25 18:32:34  brouard
                    258:   Summary: New compile, minor changes
                    259:   Author: Brouard
                    260: 
1.155     brouard   261:   Revision 1.154  2014/06/20 17:32:08  brouard
                    262:   Summary: Outputs now all graphs of convergence to period prevalence
                    263: 
1.154     brouard   264:   Revision 1.153  2014/06/20 16:45:46  brouard
                    265:   Summary: If 3 live state, convergence to period prevalence on same graph
                    266:   Author: Brouard
                    267: 
1.153     brouard   268:   Revision 1.152  2014/06/18 17:54:09  brouard
                    269:   Summary: open browser, use gnuplot on same dir than imach if not found in the path
                    270: 
1.152     brouard   271:   Revision 1.151  2014/06/18 16:43:30  brouard
                    272:   *** empty log message ***
                    273: 
1.151     brouard   274:   Revision 1.150  2014/06/18 16:42:35  brouard
                    275:   Summary: If gnuplot is not in the path try on same directory than imach binary (OSX)
                    276:   Author: brouard
                    277: 
1.150     brouard   278:   Revision 1.149  2014/06/18 15:51:14  brouard
                    279:   Summary: Some fixes in parameter files errors
                    280:   Author: Nicolas Brouard
                    281: 
1.149     brouard   282:   Revision 1.148  2014/06/17 17:38:48  brouard
                    283:   Summary: Nothing new
                    284:   Author: Brouard
                    285: 
                    286:   Just a new packaging for OS/X version 0.98nS
                    287: 
1.148     brouard   288:   Revision 1.147  2014/06/16 10:33:11  brouard
                    289:   *** empty log message ***
                    290: 
1.147     brouard   291:   Revision 1.146  2014/06/16 10:20:28  brouard
                    292:   Summary: Merge
                    293:   Author: Brouard
                    294: 
                    295:   Merge, before building revised version.
                    296: 
1.146     brouard   297:   Revision 1.145  2014/06/10 21:23:15  brouard
                    298:   Summary: Debugging with valgrind
                    299:   Author: Nicolas Brouard
                    300: 
                    301:   Lot of changes in order to output the results with some covariates
                    302:   After the Edimburgh REVES conference 2014, it seems mandatory to
                    303:   improve the code.
                    304:   No more memory valgrind error but a lot has to be done in order to
                    305:   continue the work of splitting the code into subroutines.
                    306:   Also, decodemodel has been improved. Tricode is still not
                    307:   optimal. nbcode should be improved. Documentation has been added in
                    308:   the source code.
                    309: 
1.144     brouard   310:   Revision 1.143  2014/01/26 09:45:38  brouard
                    311:   Summary: Version 0.98nR (to be improved, but gives same optimization results as 0.98k. Nice, promising
                    312: 
                    313:   * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
                    314:   (Module): Version 0.98nR Running ok, but output format still only works for three covariates.
                    315: 
1.143     brouard   316:   Revision 1.142  2014/01/26 03:57:36  brouard
                    317:   Summary: gnuplot changed plot w l 1 has to be changed to plot w l lt 2
                    318: 
                    319:   * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
                    320: 
1.142     brouard   321:   Revision 1.141  2014/01/26 02:42:01  brouard
                    322:   * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
                    323: 
1.141     brouard   324:   Revision 1.140  2011/09/02 10:37:54  brouard
                    325:   Summary: times.h is ok with mingw32 now.
                    326: 
1.140     brouard   327:   Revision 1.139  2010/06/14 07:50:17  brouard
                    328:   After the theft of my laptop, I probably lost some lines of codes which were not uploaded to the CVS tree.
                    329:   I remember having already fixed agemin agemax which are pointers now but not cvs saved.
                    330: 
1.139     brouard   331:   Revision 1.138  2010/04/30 18:19:40  brouard
                    332:   *** empty log message ***
                    333: 
1.138     brouard   334:   Revision 1.137  2010/04/29 18:11:38  brouard
                    335:   (Module): Checking covariates for more complex models
                    336:   than V1+V2. A lot of change to be done. Unstable.
                    337: 
1.137     brouard   338:   Revision 1.136  2010/04/26 20:30:53  brouard
                    339:   (Module): merging some libgsl code. Fixing computation
                    340:   of likelione (using inter/intrapolation if mle = 0) in order to
                    341:   get same likelihood as if mle=1.
                    342:   Some cleaning of code and comments added.
                    343: 
1.136     brouard   344:   Revision 1.135  2009/10/29 15:33:14  brouard
                    345:   (Module): Now imach stops if date of birth, at least year of birth, is not given. Some cleaning of the code.
                    346: 
1.135     brouard   347:   Revision 1.134  2009/10/29 13:18:53  brouard
                    348:   (Module): Now imach stops if date of birth, at least year of birth, is not given. Some cleaning of the code.
                    349: 
1.134     brouard   350:   Revision 1.133  2009/07/06 10:21:25  brouard
                    351:   just nforces
                    352: 
1.133     brouard   353:   Revision 1.132  2009/07/06 08:22:05  brouard
                    354:   Many tings
                    355: 
1.132     brouard   356:   Revision 1.131  2009/06/20 16:22:47  brouard
                    357:   Some dimensions resccaled
                    358: 
1.131     brouard   359:   Revision 1.130  2009/05/26 06:44:34  brouard
                    360:   (Module): Max Covariate is now set to 20 instead of 8. A
                    361:   lot of cleaning with variables initialized to 0. Trying to make
                    362:   V2+V3*age+V1+V4 strb=V3*age+V1+V4 working better.
                    363: 
1.130     brouard   364:   Revision 1.129  2007/08/31 13:49:27  lievre
                    365:   Modification of the way of exiting when the covariate is not binary in order to see on the window the error message before exiting
                    366: 
1.129     lievre    367:   Revision 1.128  2006/06/30 13:02:05  brouard
                    368:   (Module): Clarifications on computing e.j
                    369: 
1.128     brouard   370:   Revision 1.127  2006/04/28 18:11:50  brouard
                    371:   (Module): Yes the sum of survivors was wrong since
                    372:   imach-114 because nhstepm was no more computed in the age
                    373:   loop. Now we define nhstepma in the age loop.
                    374:   (Module): In order to speed up (in case of numerous covariates) we
                    375:   compute health expectancies (without variances) in a first step
                    376:   and then all the health expectancies with variances or standard
                    377:   deviation (needs data from the Hessian matrices) which slows the
                    378:   computation.
                    379:   In the future we should be able to stop the program is only health
                    380:   expectancies and graph are needed without standard deviations.
                    381: 
1.127     brouard   382:   Revision 1.126  2006/04/28 17:23:28  brouard
                    383:   (Module): Yes the sum of survivors was wrong since
                    384:   imach-114 because nhstepm was no more computed in the age
                    385:   loop. Now we define nhstepma in the age loop.
                    386:   Version 0.98h
                    387: 
1.126     brouard   388:   Revision 1.125  2006/04/04 15:20:31  lievre
                    389:   Errors in calculation of health expectancies. Age was not initialized.
                    390:   Forecasting file added.
                    391: 
                    392:   Revision 1.124  2006/03/22 17:13:53  lievre
                    393:   Parameters are printed with %lf instead of %f (more numbers after the comma).
                    394:   The log-likelihood is printed in the log file
                    395: 
                    396:   Revision 1.123  2006/03/20 10:52:43  brouard
                    397:   * imach.c (Module): <title> changed, corresponds to .htm file
                    398:   name. <head> headers where missing.
                    399: 
                    400:   * imach.c (Module): Weights can have a decimal point as for
                    401:   English (a comma might work with a correct LC_NUMERIC environment,
                    402:   otherwise the weight is truncated).
                    403:   Modification of warning when the covariates values are not 0 or
                    404:   1.
                    405:   Version 0.98g
                    406: 
                    407:   Revision 1.122  2006/03/20 09:45:41  brouard
                    408:   (Module): Weights can have a decimal point as for
                    409:   English (a comma might work with a correct LC_NUMERIC environment,
                    410:   otherwise the weight is truncated).
                    411:   Modification of warning when the covariates values are not 0 or
                    412:   1.
                    413:   Version 0.98g
                    414: 
                    415:   Revision 1.121  2006/03/16 17:45:01  lievre
                    416:   * imach.c (Module): Comments concerning covariates added
                    417: 
                    418:   * imach.c (Module): refinements in the computation of lli if
                    419:   status=-2 in order to have more reliable computation if stepm is
                    420:   not 1 month. Version 0.98f
                    421: 
                    422:   Revision 1.120  2006/03/16 15:10:38  lievre
                    423:   (Module): refinements in the computation of lli if
                    424:   status=-2 in order to have more reliable computation if stepm is
                    425:   not 1 month. Version 0.98f
                    426: 
                    427:   Revision 1.119  2006/03/15 17:42:26  brouard
                    428:   (Module): Bug if status = -2, the loglikelihood was
                    429:   computed as likelihood omitting the logarithm. Version O.98e
                    430: 
                    431:   Revision 1.118  2006/03/14 18:20:07  brouard
                    432:   (Module): varevsij Comments added explaining the second
                    433:   table of variances if popbased=1 .
                    434:   (Module): Covariances of eij, ekl added, graphs fixed, new html link.
                    435:   (Module): Function pstamp added
                    436:   (Module): Version 0.98d
                    437: 
                    438:   Revision 1.117  2006/03/14 17:16:22  brouard
                    439:   (Module): varevsij Comments added explaining the second
                    440:   table of variances if popbased=1 .
                    441:   (Module): Covariances of eij, ekl added, graphs fixed, new html link.
                    442:   (Module): Function pstamp added
                    443:   (Module): Version 0.98d
                    444: 
                    445:   Revision 1.116  2006/03/06 10:29:27  brouard
                    446:   (Module): Variance-covariance wrong links and
                    447:   varian-covariance of ej. is needed (Saito).
                    448: 
                    449:   Revision 1.115  2006/02/27 12:17:45  brouard
                    450:   (Module): One freematrix added in mlikeli! 0.98c
                    451: 
                    452:   Revision 1.114  2006/02/26 12:57:58  brouard
                    453:   (Module): Some improvements in processing parameter
                    454:   filename with strsep.
                    455: 
                    456:   Revision 1.113  2006/02/24 14:20:24  brouard
                    457:   (Module): Memory leaks checks with valgrind and:
                    458:   datafile was not closed, some imatrix were not freed and on matrix
                    459:   allocation too.
                    460: 
                    461:   Revision 1.112  2006/01/30 09:55:26  brouard
                    462:   (Module): Back to gnuplot.exe instead of wgnuplot.exe
                    463: 
                    464:   Revision 1.111  2006/01/25 20:38:18  brouard
                    465:   (Module): Lots of cleaning and bugs added (Gompertz)
                    466:   (Module): Comments can be added in data file. Missing date values
                    467:   can be a simple dot '.'.
                    468: 
                    469:   Revision 1.110  2006/01/25 00:51:50  brouard
                    470:   (Module): Lots of cleaning and bugs added (Gompertz)
                    471: 
                    472:   Revision 1.109  2006/01/24 19:37:15  brouard
                    473:   (Module): Comments (lines starting with a #) are allowed in data.
                    474: 
                    475:   Revision 1.108  2006/01/19 18:05:42  lievre
                    476:   Gnuplot problem appeared...
                    477:   To be fixed
                    478: 
                    479:   Revision 1.107  2006/01/19 16:20:37  brouard
                    480:   Test existence of gnuplot in imach path
                    481: 
                    482:   Revision 1.106  2006/01/19 13:24:36  brouard
                    483:   Some cleaning and links added in html output
                    484: 
                    485:   Revision 1.105  2006/01/05 20:23:19  lievre
                    486:   *** empty log message ***
                    487: 
                    488:   Revision 1.104  2005/09/30 16:11:43  lievre
                    489:   (Module): sump fixed, loop imx fixed, and simplifications.
                    490:   (Module): If the status is missing at the last wave but we know
                    491:   that the person is alive, then we can code his/her status as -2
                    492:   (instead of missing=-1 in earlier versions) and his/her
                    493:   contributions to the likelihood is 1 - Prob of dying from last
                    494:   health status (= 1-p13= p11+p12 in the easiest case of somebody in
                    495:   the healthy state at last known wave). Version is 0.98
                    496: 
                    497:   Revision 1.103  2005/09/30 15:54:49  lievre
                    498:   (Module): sump fixed, loop imx fixed, and simplifications.
                    499: 
                    500:   Revision 1.102  2004/09/15 17:31:30  brouard
                    501:   Add the possibility to read data file including tab characters.
                    502: 
                    503:   Revision 1.101  2004/09/15 10:38:38  brouard
                    504:   Fix on curr_time
                    505: 
                    506:   Revision 1.100  2004/07/12 18:29:06  brouard
                    507:   Add version for Mac OS X. Just define UNIX in Makefile
                    508: 
                    509:   Revision 1.99  2004/06/05 08:57:40  brouard
                    510:   *** empty log message ***
                    511: 
                    512:   Revision 1.98  2004/05/16 15:05:56  brouard
                    513:   New version 0.97 . First attempt to estimate force of mortality
                    514:   directly from the data i.e. without the need of knowing the health
                    515:   state at each age, but using a Gompertz model: log u =a + b*age .
                    516:   This is the basic analysis of mortality and should be done before any
                    517:   other analysis, in order to test if the mortality estimated from the
                    518:   cross-longitudinal survey is different from the mortality estimated
                    519:   from other sources like vital statistic data.
                    520: 
                    521:   The same imach parameter file can be used but the option for mle should be -3.
                    522: 
1.133     brouard   523:   Agnès, who wrote this part of the code, tried to keep most of the
1.126     brouard   524:   former routines in order to include the new code within the former code.
                    525: 
                    526:   The output is very simple: only an estimate of the intercept and of
                    527:   the slope with 95% confident intervals.
                    528: 
                    529:   Current limitations:
                    530:   A) Even if you enter covariates, i.e. with the
                    531:   model= V1+V2 equation for example, the programm does only estimate a unique global model without covariates.
                    532:   B) There is no computation of Life Expectancy nor Life Table.
                    533: 
                    534:   Revision 1.97  2004/02/20 13:25:42  lievre
                    535:   Version 0.96d. Population forecasting command line is (temporarily)
                    536:   suppressed.
                    537: 
                    538:   Revision 1.96  2003/07/15 15:38:55  brouard
                    539:   * imach.c (Repository): Errors in subdirf, 2, 3 while printing tmpout is
                    540:   rewritten within the same printf. Workaround: many printfs.
                    541: 
                    542:   Revision 1.95  2003/07/08 07:54:34  brouard
                    543:   * imach.c (Repository):
                    544:   (Repository): Using imachwizard code to output a more meaningful covariance
                    545:   matrix (cov(a12,c31) instead of numbers.
                    546: 
                    547:   Revision 1.94  2003/06/27 13:00:02  brouard
                    548:   Just cleaning
                    549: 
                    550:   Revision 1.93  2003/06/25 16:33:55  brouard
                    551:   (Module): On windows (cygwin) function asctime_r doesn't
                    552:   exist so I changed back to asctime which exists.
                    553:   (Module): Version 0.96b
                    554: 
                    555:   Revision 1.92  2003/06/25 16:30:45  brouard
                    556:   (Module): On windows (cygwin) function asctime_r doesn't
                    557:   exist so I changed back to asctime which exists.
                    558: 
                    559:   Revision 1.91  2003/06/25 15:30:29  brouard
                    560:   * imach.c (Repository): Duplicated warning errors corrected.
                    561:   (Repository): Elapsed time after each iteration is now output. It
                    562:   helps to forecast when convergence will be reached. Elapsed time
                    563:   is stamped in powell.  We created a new html file for the graphs
                    564:   concerning matrix of covariance. It has extension -cov.htm.
                    565: 
                    566:   Revision 1.90  2003/06/24 12:34:15  brouard
                    567:   (Module): Some bugs corrected for windows. Also, when
                    568:   mle=-1 a template is output in file "or"mypar.txt with the design
                    569:   of the covariance matrix to be input.
                    570: 
                    571:   Revision 1.89  2003/06/24 12:30:52  brouard
                    572:   (Module): Some bugs corrected for windows. Also, when
                    573:   mle=-1 a template is output in file "or"mypar.txt with the design
                    574:   of the covariance matrix to be input.
                    575: 
                    576:   Revision 1.88  2003/06/23 17:54:56  brouard
                    577:   * 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.
                    578: 
                    579:   Revision 1.87  2003/06/18 12:26:01  brouard
                    580:   Version 0.96
                    581: 
                    582:   Revision 1.86  2003/06/17 20:04:08  brouard
                    583:   (Module): Change position of html and gnuplot routines and added
                    584:   routine fileappend.
                    585: 
                    586:   Revision 1.85  2003/06/17 13:12:43  brouard
                    587:   * imach.c (Repository): Check when date of death was earlier that
                    588:   current date of interview. It may happen when the death was just
                    589:   prior to the death. In this case, dh was negative and likelihood
                    590:   was wrong (infinity). We still send an "Error" but patch by
                    591:   assuming that the date of death was just one stepm after the
                    592:   interview.
                    593:   (Repository): Because some people have very long ID (first column)
                    594:   we changed int to long in num[] and we added a new lvector for
                    595:   memory allocation. But we also truncated to 8 characters (left
                    596:   truncation)
                    597:   (Repository): No more line truncation errors.
                    598: 
                    599:   Revision 1.84  2003/06/13 21:44:43  brouard
                    600:   * imach.c (Repository): Replace "freqsummary" at a correct
                    601:   place. It differs from routine "prevalence" which may be called
                    602:   many times. Probs is memory consuming and must be used with
                    603:   parcimony.
                    604:   Version 0.95a3 (should output exactly the same maximization than 0.8a2)
                    605: 
                    606:   Revision 1.83  2003/06/10 13:39:11  lievre
                    607:   *** empty log message ***
                    608: 
                    609:   Revision 1.82  2003/06/05 15:57:20  brouard
                    610:   Add log in  imach.c and  fullversion number is now printed.
                    611: 
                    612: */
                    613: /*
                    614:    Interpolated Markov Chain
                    615: 
                    616:   Short summary of the programme:
                    617:   
                    618:   This program computes Healthy Life Expectancies from
                    619:   cross-longitudinal data. Cross-longitudinal data consist in: -1- a
                    620:   first survey ("cross") where individuals from different ages are
                    621:   interviewed on their health status or degree of disability (in the
                    622:   case of a health survey which is our main interest) -2- at least a
                    623:   second wave of interviews ("longitudinal") which measure each change
                    624:   (if any) in individual health status.  Health expectancies are
                    625:   computed from the time spent in each health state according to a
                    626:   model. More health states you consider, more time is necessary to reach the
                    627:   Maximum Likelihood of the parameters involved in the model.  The
                    628:   simplest model is the multinomial logistic model where pij is the
                    629:   probability to be observed in state j at the second wave
                    630:   conditional to be observed in state i at the first wave. Therefore
                    631:   the model is: log(pij/pii)= aij + bij*age+ cij*sex + etc , where
                    632:   'age' is age and 'sex' is a covariate. If you want to have a more
                    633:   complex model than "constant and age", you should modify the program
                    634:   where the markup *Covariates have to be included here again* invites
                    635:   you to do it.  More covariates you add, slower the
                    636:   convergence.
                    637: 
                    638:   The advantage of this computer programme, compared to a simple
                    639:   multinomial logistic model, is clear when the delay between waves is not
                    640:   identical for each individual. Also, if a individual missed an
                    641:   intermediate interview, the information is lost, but taken into
                    642:   account using an interpolation or extrapolation.  
                    643: 
                    644:   hPijx is the probability to be observed in state i at age x+h
                    645:   conditional to the observed state i at age x. The delay 'h' can be
                    646:   split into an exact number (nh*stepm) of unobserved intermediate
                    647:   states. This elementary transition (by month, quarter,
                    648:   semester or year) is modelled as a multinomial logistic.  The hPx
                    649:   matrix is simply the matrix product of nh*stepm elementary matrices
                    650:   and the contribution of each individual to the likelihood is simply
                    651:   hPijx.
                    652: 
                    653:   Also this programme outputs the covariance matrix of the parameters but also
1.218   ! brouard   654:   of the life expectancies. It also computes the period (stable) prevalence.
        !           655: 
        !           656: Back prevalence and projections:
        !           657:  - back_prevalence_limit(double *p, double **bprlim, double ageminpar, double agemaxpar, double ftolpl, int *ncvyearp, double dateprev1,double dateprev2, int firstpass, int lastpass, int mobilavproj)
        !           658:     Computes the back prevalence limit  for any combination    of covariate values k
        !           659:     at any age between ageminpar and agemaxpar and returns it in **bprlim. In the loops,
        !           660:    - **bprevalim(**bprlim, ***mobaverage, nlstate, *p, age, **oldm, **savm, **dnewm, **doldm, **dsavm, ftolpl, ncvyearp, k);
        !           661:  - hBijx Back Probability to be in state i at age x-h being in j at x
        !           662:    Computes for any combination of covariates k and any age between bage and fage 
        !           663:    p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
        !           664:                        oldm=oldms;savm=savms;
        !           665:         - hbxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);
        !           666:      Computes the transition matrix starting at age 'age' over
        !           667:      'nhstepm*hstepm*stepm' months (i.e. until
        !           668:      age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying
        !           669:      nhstepm*hstepm matrices. Returns p3mat[i][j][h] after calling 
        !           670:      p3mat[i][j][h]=matprod2(newm, bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent, dnewm, doldm, dsavm,ij),\
        !           671:                                                                         1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm);
        !           672: 
1.133     brouard   673:   Authors: Nicolas Brouard (brouard@ined.fr) and Agnès Lièvre (lievre@ined.fr).
                    674:            Institut national d'études démographiques, Paris.
1.126     brouard   675:   This software have been partly granted by Euro-REVES, a concerted action
                    676:   from the European Union.
                    677:   It is copyrighted identically to a GNU software product, ie programme and
                    678:   software can be distributed freely for non commercial use. Latest version
                    679:   can be accessed at http://euroreves.ined.fr/imach .
                    680: 
                    681:   Help to debug: LD_PRELOAD=/usr/local/lib/libnjamd.so ./imach foo.imach
                    682:   or better on gdb : set env LD_PRELOAD=/usr/local/lib/libnjamd.so
                    683:   
                    684:   **********************************************************************/
                    685: /*
                    686:   main
                    687:   read parameterfile
                    688:   read datafile
                    689:   concatwav
                    690:   freqsummary
                    691:   if (mle >= 1)
                    692:     mlikeli
                    693:   print results files
                    694:   if mle==1 
                    695:      computes hessian
                    696:   read end of parameter file: agemin, agemax, bage, fage, estepm
                    697:       begin-prev-date,...
                    698:   open gnuplot file
                    699:   open html file
1.145     brouard   700:   period (stable) prevalence      | pl_nom    1-1 2-2 etc by covariate
                    701:    for age prevalim()             | #****** V1=0  V2=1  V3=1  V4=0 ******
                    702:                                   | 65 1 0 2 1 3 1 4 0  0.96326 0.03674
                    703:     freexexit2 possible for memory heap.
                    704: 
                    705:   h Pij x                         | pij_nom  ficrestpij
                    706:    # Cov Agex agex+h hpijx with i,j= 1-1 1-2     1-3     2-1     2-2     2-3
                    707:        1  85   85    1.00000             0.00000 0.00000 0.00000 1.00000 0.00000
                    708:        1  85   86    0.68299             0.22291 0.09410 0.71093 0.00000 0.28907
                    709: 
                    710:        1  65   99    0.00364             0.00322 0.99314 0.00350 0.00310 0.99340
                    711:        1  65  100    0.00214             0.00204 0.99581 0.00206 0.00196 0.99597
                    712:   variance of p one-step probabilities varprob  | prob_nom   ficresprob #One-step probabilities and stand. devi in ()
                    713:    Standard deviation of one-step probabilities | probcor_nom   ficresprobcor #One-step probabilities and correlation matrix
                    714:    Matrix of variance covariance of one-step probabilities |  probcov_nom ficresprobcov #One-step probabilities and covariance matrix
                    715: 
1.126     brouard   716:   forecasting if prevfcast==1 prevforecast call prevalence()
                    717:   health expectancies
                    718:   Variance-covariance of DFLE
                    719:   prevalence()
                    720:    movingaverage()
                    721:   varevsij() 
                    722:   if popbased==1 varevsij(,popbased)
                    723:   total life expectancies
                    724:   Variance of period (stable) prevalence
                    725:  end
                    726: */
                    727: 
1.187     brouard   728: /* #define DEBUG */
                    729: /* #define DEBUGBRENT */
1.203     brouard   730: /* #define DEBUGLINMIN */
                    731: /* #define DEBUGHESS */
                    732: #define DEBUGHESSIJ
                    733: /* #define LINMINORIGINAL  /\* Don't use loop on scale in linmin (accepting nan)*\/ */
1.165     brouard   734: #define POWELL /* Instead of NLOPT */
1.192     brouard   735: #define POWELLF1F3 /* Skip test */
1.186     brouard   736: /* #define POWELLORIGINAL /\* Don't use Directest to decide new direction but original Powell test *\/ */
                    737: /* #define MNBRAKORIGINAL /\* Don't use mnbrak fix *\/ */
1.126     brouard   738: 
                    739: #include <math.h>
                    740: #include <stdio.h>
                    741: #include <stdlib.h>
                    742: #include <string.h>
1.159     brouard   743: 
                    744: #ifdef _WIN32
                    745: #include <io.h>
1.172     brouard   746: #include <windows.h>
                    747: #include <tchar.h>
1.159     brouard   748: #else
1.126     brouard   749: #include <unistd.h>
1.159     brouard   750: #endif
1.126     brouard   751: 
                    752: #include <limits.h>
                    753: #include <sys/types.h>
1.171     brouard   754: 
                    755: #if defined(__GNUC__)
                    756: #include <sys/utsname.h> /* Doesn't work on Windows */
                    757: #endif
                    758: 
1.126     brouard   759: #include <sys/stat.h>
                    760: #include <errno.h>
1.159     brouard   761: /* extern int errno; */
1.126     brouard   762: 
1.157     brouard   763: /* #ifdef LINUX */
                    764: /* #include <time.h> */
                    765: /* #include "timeval.h" */
                    766: /* #else */
                    767: /* #include <sys/time.h> */
                    768: /* #endif */
                    769: 
1.126     brouard   770: #include <time.h>
                    771: 
1.136     brouard   772: #ifdef GSL
                    773: #include <gsl/gsl_errno.h>
                    774: #include <gsl/gsl_multimin.h>
                    775: #endif
                    776: 
1.167     brouard   777: 
1.162     brouard   778: #ifdef NLOPT
                    779: #include <nlopt.h>
                    780: typedef struct {
                    781:   double (* function)(double [] );
                    782: } myfunc_data ;
                    783: #endif
                    784: 
1.126     brouard   785: /* #include <libintl.h> */
                    786: /* #define _(String) gettext (String) */
                    787: 
1.141     brouard   788: #define MAXLINE 1024 /* Was 256. Overflow with 312 with 2 states and 4 covariates. Should be ok */
1.126     brouard   789: 
                    790: #define GNUPLOTPROGRAM "gnuplot"
                    791: /*#define GNUPLOTPROGRAM "..\\gp37mgw\\wgnuplot"*/
                    792: #define FILENAMELENGTH 132
                    793: 
                    794: #define        GLOCK_ERROR_NOPATH              -1      /* empty path */
                    795: #define        GLOCK_ERROR_GETCWD              -2      /* cannot get cwd */
                    796: 
1.144     brouard   797: #define MAXPARM 128 /**< Maximum number of parameters for the optimization */
                    798: #define NPARMAX 64 /**< (nlstate+ndeath-1)*nlstate*ncovmodel */
1.126     brouard   799: 
                    800: #define NINTERVMAX 8
1.144     brouard   801: #define NLSTATEMAX 8 /**< Maximum number of live states (for func) */
                    802: #define NDEATHMAX 8 /**< Maximum number of dead states (for func) */
                    803: #define NCOVMAX 20 /**< Maximum number of covariates, including generated covariates V1*V2 */
1.197     brouard   804: #define codtabm(h,k)  (1 & (h-1) >> (k-1))+1
1.211     brouard   805: /*#define decodtabm(h,k,cptcoveff)= (h <= (1<<cptcoveff)?(((h-1) >> (k-1)) & 1) +1 : -1)*/
                    806: #define decodtabm(h,k,cptcoveff) (((h-1) >> (k-1)) & 1) +1 
1.126     brouard   807: #define MAXN 20000
1.144     brouard   808: #define YEARM 12. /**< Number of months per year */
1.218   ! brouard   809: /* #define AGESUP 130 */
        !           810: #define AGESUP 150
        !           811: #define AGEMARGE 25 /* Marge for agemin and agemax for(iage=agemin-AGEMARGE; iage <= agemax+3+AGEMARGE; iage++) */
1.126     brouard   812: #define AGEBASE 40
1.194     brouard   813: #define AGEOVERFLOW 1.e20
1.164     brouard   814: #define AGEGOMP 10 /**< Minimal age for Gompertz adjustment */
1.157     brouard   815: #ifdef _WIN32
                    816: #define DIRSEPARATOR '\\'
                    817: #define CHARSEPARATOR "\\"
                    818: #define ODIRSEPARATOR '/'
                    819: #else
1.126     brouard   820: #define DIRSEPARATOR '/'
                    821: #define CHARSEPARATOR "/"
                    822: #define ODIRSEPARATOR '\\'
                    823: #endif
                    824: 
1.218   ! brouard   825: /* $Id: imach.c,v 1.217 2015/12/23 17:18:31 brouard Exp $ */
1.126     brouard   826: /* $State: Exp $ */
1.196     brouard   827: #include "version.h"
                    828: char version[]=__IMACH_VERSION__;
1.204     brouard   829: char copyright[]="October 2015,INED-EUROREVES-Institut de longevite-Japan Society for the Promotion of Science (Grant-in-Aid for Scientific Research 25293121), Intel Software 2015";
1.218   ! brouard   830: char fullversion[]="$Revision: 1.217 $ $Date: 2015/12/23 17:18:31 $"; 
1.126     brouard   831: char strstart[80];
                    832: char optionfilext[10], optionfilefiname[FILENAMELENGTH];
1.130     brouard   833: int erreur=0, nberr=0, nbwarn=0; /* Error number, number of errors number of warnings  */
1.187     brouard   834: int nagesqr=0, nforce=0; /* nagesqr=1 if model is including age*age, number of forces */
1.145     brouard   835: /* Number of covariates model=V2+V1+ V3*age+V2*V4 */
                    836: int cptcovn=0; /**< cptcovn number of covariates added in the model (excepting constant and age and age*product) */
                    837: int cptcovt=0; /**< cptcovt number of covariates added in the model (excepting constant and age) */
                    838: int cptcovs=0; /**< cptcovs number of simple covariates V2+V1 =2 */
                    839: int cptcovage=0; /**< Number of covariates with age: V3*age only =1 */
                    840: int cptcovprodnoage=0; /**< Number of covariate products without age */   
                    841: int cptcoveff=0; /* Total number of covariates to vary for printing results */
                    842: int cptcov=0; /* Working variable */
1.218   ! brouard   843: int ncovcombmax=NCOVMAX; /* Maximum calculated number of covariate combination = pow(2, cptcoveff) */
1.126     brouard   844: int npar=NPARMAX;
                    845: int nlstate=2; /* Number of live states */
                    846: int ndeath=1; /* Number of dead states */
1.130     brouard   847: int ncovmodel=0, ncovcol=0;     /* Total number of covariables including constant a12*1 +b12*x ncovmodel=2 */
1.126     brouard   848: int popbased=0;
                    849: 
                    850: int *wav; /* Number of waves for this individuual 0 is possible */
1.130     brouard   851: int maxwav=0; /* Maxim number of waves */
                    852: int jmin=0, jmax=0; /* min, max spacing between 2 waves */
                    853: int ijmin=0, ijmax=0; /* Individuals having jmin and jmax */ 
                    854: int gipmx=0, gsw=0; /* Global variables on the number of contributions 
1.126     brouard   855:                   to the likelihood and the sum of weights (done by funcone)*/
1.130     brouard   856: int mle=1, weightopt=0;
1.126     brouard   857: int **mw; /* mw[mi][i] is number of the mi wave for this individual */
                    858: int **dh; /* dh[mi][i] is number of steps between mi,mi+1 for this individual */
                    859: int **bh; /* bh[mi][i] is the bias (+ or -) for this individual if the delay between
                    860:           * wave mi and wave mi+1 is not an exact multiple of stepm. */
1.162     brouard   861: int countcallfunc=0;  /* Count the number of calls to func */
1.130     brouard   862: double jmean=1; /* Mean space between 2 waves */
1.145     brouard   863: double **matprod2(); /* test */
1.126     brouard   864: double **oldm, **newm, **savm; /* Working pointers to matrices */
                    865: double **oldms, **newms, **savms; /* Fixed working pointers to matrices */
1.218   ! brouard   866: double  **ddnewms, **ddoldms, **ddsavms; /* for freeing later */
        !           867: 
1.136     brouard   868: /*FILE *fic ; */ /* Used in readdata only */
1.217     brouard   869: FILE *ficpar, *ficparo,*ficres, *ficresp, *ficresphtm, *ficresphtmfr, *ficrespl, *ficresplb,*ficrespij, *ficrespijb, *ficrest,*ficresf, *ficresfb,*ficrespop;
1.126     brouard   870: FILE *ficlog, *ficrespow;
1.130     brouard   871: int globpr=0; /* Global variable for printing or not */
1.126     brouard   872: double fretone; /* Only one call to likelihood */
1.130     brouard   873: long ipmx=0; /* Number of contributions */
1.126     brouard   874: double sw; /* Sum of weights */
                    875: char filerespow[FILENAMELENGTH];
                    876: char fileresilk[FILENAMELENGTH]; /* File of individual contributions to the likelihood */
                    877: FILE *ficresilk;
                    878: FILE *ficgp,*ficresprob,*ficpop, *ficresprobcov, *ficresprobcor;
                    879: FILE *ficresprobmorprev;
                    880: FILE *fichtm, *fichtmcov; /* Html File */
                    881: FILE *ficreseij;
                    882: char filerese[FILENAMELENGTH];
                    883: FILE *ficresstdeij;
                    884: char fileresstde[FILENAMELENGTH];
                    885: FILE *ficrescveij;
                    886: char filerescve[FILENAMELENGTH];
                    887: FILE  *ficresvij;
                    888: char fileresv[FILENAMELENGTH];
                    889: FILE  *ficresvpl;
                    890: char fileresvpl[FILENAMELENGTH];
                    891: char title[MAXLINE];
1.217     brouard   892: char optionfile[FILENAMELENGTH], datafile[FILENAMELENGTH],  filerespl[FILENAMELENGTH],  fileresplb[FILENAMELENGTH];
1.126     brouard   893: char plotcmd[FILENAMELENGTH], pplotcmd[FILENAMELENGTH];
                    894: char tmpout[FILENAMELENGTH],  tmpout2[FILENAMELENGTH]; 
                    895: char command[FILENAMELENGTH];
                    896: int  outcmd=0;
                    897: 
1.217     brouard   898: char fileres[FILENAMELENGTH], filerespij[FILENAMELENGTH], filerespijb[FILENAMELENGTH], filereso[FILENAMELENGTH], rfileres[FILENAMELENGTH];
1.202     brouard   899: char fileresu[FILENAMELENGTH]; /* fileres without r in front */
1.126     brouard   900: char filelog[FILENAMELENGTH]; /* Log file */
                    901: char filerest[FILENAMELENGTH];
                    902: char fileregp[FILENAMELENGTH];
                    903: char popfile[FILENAMELENGTH];
                    904: 
                    905: char optionfilegnuplot[FILENAMELENGTH], optionfilehtm[FILENAMELENGTH], optionfilehtmcov[FILENAMELENGTH] ;
                    906: 
1.157     brouard   907: /* struct timeval start_time, end_time, curr_time, last_time, forecast_time; */
                    908: /* struct timezone tzp; */
                    909: /* extern int gettimeofday(); */
                    910: struct tm tml, *gmtime(), *localtime();
                    911: 
                    912: extern time_t time();
                    913: 
                    914: struct tm start_time, end_time, curr_time, last_time, forecast_time;
                    915: time_t  rstart_time, rend_time, rcurr_time, rlast_time, rforecast_time; /* raw time */
                    916: struct tm tm;
                    917: 
1.126     brouard   918: char strcurr[80], strfor[80];
                    919: 
                    920: char *endptr;
                    921: long lval;
                    922: double dval;
                    923: 
                    924: #define NR_END 1
                    925: #define FREE_ARG char*
                    926: #define FTOL 1.0e-10
                    927: 
                    928: #define NRANSI 
                    929: #define ITMAX 200 
                    930: 
                    931: #define TOL 2.0e-4 
                    932: 
                    933: #define CGOLD 0.3819660 
                    934: #define ZEPS 1.0e-10 
                    935: #define SHFT(a,b,c,d) (a)=(b);(b)=(c);(c)=(d); 
                    936: 
                    937: #define GOLD 1.618034 
                    938: #define GLIMIT 100.0 
                    939: #define TINY 1.0e-20 
                    940: 
                    941: static double maxarg1,maxarg2;
                    942: #define FMAX(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)>(maxarg2)? (maxarg1):(maxarg2))
                    943: #define FMIN(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)<(maxarg2)? (maxarg1):(maxarg2))
                    944:   
                    945: #define SIGN(a,b) ((b)>0.0 ? fabs(a) : -fabs(a))
                    946: #define rint(a) floor(a+0.5)
1.166     brouard   947: /* http://www.thphys.uni-heidelberg.de/~robbers/cmbeasy/doc/html/myutils_8h-source.html */
1.183     brouard   948: #define mytinydouble 1.0e-16
1.166     brouard   949: /* #define DEQUAL(a,b) (fabs((a)-(b))<mytinydouble) */
                    950: /* http://www.thphys.uni-heidelberg.de/~robbers/cmbeasy/doc/html/mynrutils_8h-source.html */
                    951: /* static double dsqrarg; */
                    952: /* #define DSQR(a) (DEQUAL((dsqrarg=(a)),0.0) ? 0.0 : dsqrarg*dsqrarg) */
1.126     brouard   953: static double sqrarg;
                    954: #define SQR(a) ((sqrarg=(a)) == 0.0 ? 0.0 :sqrarg*sqrarg)
                    955: #define SWAP(a,b) {temp=(a);(a)=(b);(b)=temp;} 
                    956: int agegomp= AGEGOMP;
                    957: 
                    958: int imx; 
                    959: int stepm=1;
                    960: /* Stepm, step in month: minimum step interpolation*/
                    961: 
                    962: int estepm;
                    963: /* Estepm, step in month to interpolate survival function in order to approximate Life Expectancy*/
                    964: 
                    965: int m,nb;
                    966: long *num;
1.197     brouard   967: int firstpass=0, lastpass=4,*cod, *cens;
1.192     brouard   968: int *ncodemax;  /* ncodemax[j]= Number of modalities of the j th
                    969:                   covariate for which somebody answered excluding 
                    970:                   undefined. Usually 2: 0 and 1. */
                    971: int *ncodemaxwundef;  /* ncodemax[j]= Number of modalities of the j th
                    972:                             covariate for which somebody answered including 
                    973:                             undefined. Usually 3: -1, 0 and 1. */
1.126     brouard   974: double **agev,*moisnais, *annais, *moisdc, *andc,**mint, **anint;
1.218   ! brouard   975: double **pmmij, ***probs; /* Global pointer */
        !           976: double ***mobaverage; /* New global variable */
1.126     brouard   977: double *ageexmed,*agecens;
                    978: double dateintmean=0;
                    979: 
                    980: double *weight;
                    981: int **s; /* Status */
1.141     brouard   982: double *agedc;
1.145     brouard   983: double  **covar; /**< covar[j,i], value of jth covariate for individual i,
1.141     brouard   984:                  * covar=matrix(0,NCOVMAX,1,n); 
1.187     brouard   985:                  * cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*age; */
1.141     brouard   986: double  idx; 
                    987: int **nbcode, *Tvar; /**< model=V2 => Tvar[1]= 2 */
1.197     brouard   988: int *Tage;
1.145     brouard   989: int *Ndum; /** Freq of modality (tricode */
1.200     brouard   990: /* int **codtab;*/ /**< codtab=imatrix(1,100,1,10); */
1.141     brouard   991: int **Tvard, *Tprod, cptcovprod, *Tvaraff;
1.126     brouard   992: double *lsurv, *lpop, *tpop;
                    993: 
1.143     brouard   994: double ftol=FTOL; /**< Tolerance for computing Max Likelihood */
                    995: double ftolhess; /**< Tolerance for computing hessian */
1.126     brouard   996: 
                    997: /**************** split *************************/
                    998: static int split( char *path, char *dirc, char *name, char *ext, char *finame )
                    999: {
                   1000:   /* From a file name with (full) path (either Unix or Windows) we extract the directory (dirc)
                   1001:      the name of the file (name), its extension only (ext) and its first part of the name (finame)
                   1002:   */ 
                   1003:   char *ss;                            /* pointer */
1.186     brouard  1004:   int  l1=0, l2=0;                             /* length counters */
1.126     brouard  1005: 
                   1006:   l1 = strlen(path );                  /* length of path */
                   1007:   if ( l1 == 0 ) return( GLOCK_ERROR_NOPATH );
                   1008:   ss= strrchr( path, DIRSEPARATOR );           /* find last / */
                   1009:   if ( ss == NULL ) {                  /* no directory, so determine current directory */
                   1010:     strcpy( name, path );              /* we got the fullname name because no directory */
                   1011:     /*if(strrchr(path, ODIRSEPARATOR )==NULL)
                   1012:       printf("Warning you should use %s as a separator\n",DIRSEPARATOR);*/
                   1013:     /* get current working directory */
                   1014:     /*    extern  char* getcwd ( char *buf , int len);*/
1.184     brouard  1015: #ifdef WIN32
                   1016:     if (_getcwd( dirc, FILENAME_MAX ) == NULL ) {
                   1017: #else
                   1018:        if (getcwd(dirc, FILENAME_MAX) == NULL) {
                   1019: #endif
1.126     brouard  1020:       return( GLOCK_ERROR_GETCWD );
                   1021:     }
                   1022:     /* got dirc from getcwd*/
                   1023:     printf(" DIRC = %s \n",dirc);
1.205     brouard  1024:   } else {                             /* strip directory from path */
1.126     brouard  1025:     ss++;                              /* after this, the filename */
                   1026:     l2 = strlen( ss );                 /* length of filename */
                   1027:     if ( l2 == 0 ) return( GLOCK_ERROR_NOPATH );
                   1028:     strcpy( name, ss );                /* save file name */
                   1029:     strncpy( dirc, path, l1 - l2 );    /* now the directory */
1.186     brouard  1030:     dirc[l1-l2] = '\0';                        /* add zero */
1.126     brouard  1031:     printf(" DIRC2 = %s \n",dirc);
                   1032:   }
                   1033:   /* We add a separator at the end of dirc if not exists */
                   1034:   l1 = strlen( dirc );                 /* length of directory */
                   1035:   if( dirc[l1-1] != DIRSEPARATOR ){
                   1036:     dirc[l1] =  DIRSEPARATOR;
                   1037:     dirc[l1+1] = 0; 
                   1038:     printf(" DIRC3 = %s \n",dirc);
                   1039:   }
                   1040:   ss = strrchr( name, '.' );           /* find last / */
                   1041:   if (ss >0){
                   1042:     ss++;
                   1043:     strcpy(ext,ss);                    /* save extension */
                   1044:     l1= strlen( name);
                   1045:     l2= strlen(ss)+1;
                   1046:     strncpy( finame, name, l1-l2);
                   1047:     finame[l1-l2]= 0;
                   1048:   }
                   1049: 
                   1050:   return( 0 );                         /* we're done */
                   1051: }
                   1052: 
                   1053: 
                   1054: /******************************************/
                   1055: 
                   1056: void replace_back_to_slash(char *s, char*t)
                   1057: {
                   1058:   int i;
                   1059:   int lg=0;
                   1060:   i=0;
                   1061:   lg=strlen(t);
                   1062:   for(i=0; i<= lg; i++) {
                   1063:     (s[i] = t[i]);
                   1064:     if (t[i]== '\\') s[i]='/';
                   1065:   }
                   1066: }
                   1067: 
1.132     brouard  1068: char *trimbb(char *out, char *in)
1.137     brouard  1069: { /* Trim multiple blanks in line but keeps first blanks if line starts with blanks */
1.132     brouard  1070:   char *s;
                   1071:   s=out;
                   1072:   while (*in != '\0'){
1.137     brouard  1073:     while( *in == ' ' && *(in+1) == ' '){ /* && *(in+1) != '\0'){*/
1.132     brouard  1074:       in++;
                   1075:     }
                   1076:     *out++ = *in++;
                   1077:   }
                   1078:   *out='\0';
                   1079:   return s;
                   1080: }
                   1081: 
1.187     brouard  1082: /* char *substrchaine(char *out, char *in, char *chain) */
                   1083: /* { */
                   1084: /*   /\* Substract chain 'chain' from 'in', return and output 'out' *\/ */
                   1085: /*   char *s, *t; */
                   1086: /*   t=in;s=out; */
                   1087: /*   while ((*in != *chain) && (*in != '\0')){ */
                   1088: /*     *out++ = *in++; */
                   1089: /*   } */
                   1090: 
                   1091: /*   /\* *in matches *chain *\/ */
                   1092: /*   while ((*in++ == *chain++) && (*in != '\0')){ */
                   1093: /*     printf("*in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
                   1094: /*   } */
                   1095: /*   in--; chain--; */
                   1096: /*   while ( (*in != '\0')){ */
                   1097: /*     printf("Bef *in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
                   1098: /*     *out++ = *in++; */
                   1099: /*     printf("Aft *in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
                   1100: /*   } */
                   1101: /*   *out='\0'; */
                   1102: /*   out=s; */
                   1103: /*   return out; */
                   1104: /* } */
                   1105: char *substrchaine(char *out, char *in, char *chain)
                   1106: {
                   1107:   /* Substract chain 'chain' from 'in', return and output 'out' */
                   1108:   /* in="V1+V1*age+age*age+V2", chain="age*age" */
                   1109: 
                   1110:   char *strloc;
                   1111: 
                   1112:   strcpy (out, in); 
                   1113:   strloc = strstr(out, chain); /* strloc points to out at age*age+V2 */
                   1114:   printf("Bef strloc=%s chain=%s out=%s \n", strloc, chain, out);
                   1115:   if(strloc != NULL){ 
                   1116:     /* will affect out */ /* strloc+strlenc(chain)=+V2 */ /* Will also work in Unicode */
                   1117:     memmove(strloc,strloc+strlen(chain), strlen(strloc+strlen(chain))+1);
                   1118:     /* strcpy (strloc, strloc +strlen(chain));*/
                   1119:   }
                   1120:   printf("Aft strloc=%s chain=%s in=%s out=%s \n", strloc, chain, in, out);
                   1121:   return out;
                   1122: }
                   1123: 
                   1124: 
1.145     brouard  1125: char *cutl(char *blocc, char *alocc, char *in, char occ)
                   1126: {
1.187     brouard  1127:   /* cuts string in into blocc and alocc where blocc ends before FIRST occurence of char 'occ' 
1.145     brouard  1128:      and alocc starts after first occurence of char 'occ' : ex cutv(blocc,alocc,"abcdef2ghi2j",'2')
1.187     brouard  1129:      gives blocc="abcdef" and alocc="ghi2j".
1.145     brouard  1130:      If occ is not found blocc is null and alocc is equal to in. Returns blocc
                   1131:   */
1.160     brouard  1132:   char *s, *t;
1.145     brouard  1133:   t=in;s=in;
                   1134:   while ((*in != occ) && (*in != '\0')){
                   1135:     *alocc++ = *in++;
                   1136:   }
                   1137:   if( *in == occ){
                   1138:     *(alocc)='\0';
                   1139:     s=++in;
                   1140:   }
                   1141:  
                   1142:   if (s == t) {/* occ not found */
                   1143:     *(alocc-(in-s))='\0';
                   1144:     in=s;
                   1145:   }
                   1146:   while ( *in != '\0'){
                   1147:     *blocc++ = *in++;
                   1148:   }
                   1149: 
                   1150:   *blocc='\0';
                   1151:   return t;
                   1152: }
1.137     brouard  1153: char *cutv(char *blocc, char *alocc, char *in, char occ)
                   1154: {
1.187     brouard  1155:   /* cuts string in into blocc and alocc where blocc ends before LAST occurence of char 'occ' 
1.137     brouard  1156:      and alocc starts after last occurence of char 'occ' : ex cutv(blocc,alocc,"abcdef2ghi2j",'2')
                   1157:      gives blocc="abcdef2ghi" and alocc="j".
                   1158:      If occ is not found blocc is null and alocc is equal to in. Returns alocc
                   1159:   */
                   1160:   char *s, *t;
                   1161:   t=in;s=in;
                   1162:   while (*in != '\0'){
                   1163:     while( *in == occ){
                   1164:       *blocc++ = *in++;
                   1165:       s=in;
                   1166:     }
                   1167:     *blocc++ = *in++;
                   1168:   }
                   1169:   if (s == t) /* occ not found */
                   1170:     *(blocc-(in-s))='\0';
                   1171:   else
                   1172:     *(blocc-(in-s)-1)='\0';
                   1173:   in=s;
                   1174:   while ( *in != '\0'){
                   1175:     *alocc++ = *in++;
                   1176:   }
                   1177: 
                   1178:   *alocc='\0';
                   1179:   return s;
                   1180: }
                   1181: 
1.126     brouard  1182: int nbocc(char *s, char occ)
                   1183: {
                   1184:   int i,j=0;
                   1185:   int lg=20;
                   1186:   i=0;
                   1187:   lg=strlen(s);
                   1188:   for(i=0; i<= lg; i++) {
                   1189:   if  (s[i] == occ ) j++;
                   1190:   }
                   1191:   return j;
                   1192: }
                   1193: 
1.137     brouard  1194: /* void cutv(char *u,char *v, char*t, char occ) */
                   1195: /* { */
                   1196: /*   /\* cuts string t into u and v where u ends before last occurence of char 'occ'  */
                   1197: /*      and v starts after last occurence of char 'occ' : ex cutv(u,v,"abcdef2ghi2j",'2') */
                   1198: /*      gives u="abcdef2ghi" and v="j" *\/ */
                   1199: /*   int i,lg,j,p=0; */
                   1200: /*   i=0; */
                   1201: /*   lg=strlen(t); */
                   1202: /*   for(j=0; j<=lg-1; j++) { */
                   1203: /*     if((t[j]!= occ) && (t[j+1]== occ)) p=j+1; */
                   1204: /*   } */
1.126     brouard  1205: 
1.137     brouard  1206: /*   for(j=0; j<p; j++) { */
                   1207: /*     (u[j] = t[j]); */
                   1208: /*   } */
                   1209: /*      u[p]='\0'; */
1.126     brouard  1210: 
1.137     brouard  1211: /*    for(j=0; j<= lg; j++) { */
                   1212: /*     if (j>=(p+1))(v[j-p-1] = t[j]); */
                   1213: /*   } */
                   1214: /* } */
1.126     brouard  1215: 
1.160     brouard  1216: #ifdef _WIN32
                   1217: char * strsep(char **pp, const char *delim)
                   1218: {
                   1219:   char *p, *q;
                   1220:          
                   1221:   if ((p = *pp) == NULL)
                   1222:     return 0;
                   1223:   if ((q = strpbrk (p, delim)) != NULL)
                   1224:   {
                   1225:     *pp = q + 1;
                   1226:     *q = '\0';
                   1227:   }
                   1228:   else
                   1229:     *pp = 0;
                   1230:   return p;
                   1231: }
                   1232: #endif
                   1233: 
1.126     brouard  1234: /********************** nrerror ********************/
                   1235: 
                   1236: void nrerror(char error_text[])
                   1237: {
                   1238:   fprintf(stderr,"ERREUR ...\n");
                   1239:   fprintf(stderr,"%s\n",error_text);
                   1240:   exit(EXIT_FAILURE);
                   1241: }
                   1242: /*********************** vector *******************/
                   1243: double *vector(int nl, int nh)
                   1244: {
                   1245:   double *v;
                   1246:   v=(double *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(double)));
                   1247:   if (!v) nrerror("allocation failure in vector");
                   1248:   return v-nl+NR_END;
                   1249: }
                   1250: 
                   1251: /************************ free vector ******************/
                   1252: void free_vector(double*v, int nl, int nh)
                   1253: {
                   1254:   free((FREE_ARG)(v+nl-NR_END));
                   1255: }
                   1256: 
                   1257: /************************ivector *******************************/
                   1258: int *ivector(long nl,long nh)
                   1259: {
                   1260:   int *v;
                   1261:   v=(int *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(int)));
                   1262:   if (!v) nrerror("allocation failure in ivector");
                   1263:   return v-nl+NR_END;
                   1264: }
                   1265: 
                   1266: /******************free ivector **************************/
                   1267: void free_ivector(int *v, long nl, long nh)
                   1268: {
                   1269:   free((FREE_ARG)(v+nl-NR_END));
                   1270: }
                   1271: 
                   1272: /************************lvector *******************************/
                   1273: long *lvector(long nl,long nh)
                   1274: {
                   1275:   long *v;
                   1276:   v=(long *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(long)));
                   1277:   if (!v) nrerror("allocation failure in ivector");
                   1278:   return v-nl+NR_END;
                   1279: }
                   1280: 
                   1281: /******************free lvector **************************/
                   1282: void free_lvector(long *v, long nl, long nh)
                   1283: {
                   1284:   free((FREE_ARG)(v+nl-NR_END));
                   1285: }
                   1286: 
                   1287: /******************* imatrix *******************************/
                   1288: int **imatrix(long nrl, long nrh, long ncl, long nch) 
                   1289:      /* allocate a int matrix with subscript range m[nrl..nrh][ncl..nch] */ 
                   1290: { 
                   1291:   long i, nrow=nrh-nrl+1,ncol=nch-ncl+1; 
                   1292:   int **m; 
                   1293:   
                   1294:   /* allocate pointers to rows */ 
                   1295:   m=(int **) malloc((size_t)((nrow+NR_END)*sizeof(int*))); 
                   1296:   if (!m) nrerror("allocation failure 1 in matrix()"); 
                   1297:   m += NR_END; 
                   1298:   m -= nrl; 
                   1299:   
                   1300:   
                   1301:   /* allocate rows and set pointers to them */ 
                   1302:   m[nrl]=(int *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(int))); 
                   1303:   if (!m[nrl]) nrerror("allocation failure 2 in matrix()"); 
                   1304:   m[nrl] += NR_END; 
                   1305:   m[nrl] -= ncl; 
                   1306:   
                   1307:   for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol; 
                   1308:   
                   1309:   /* return pointer to array of pointers to rows */ 
                   1310:   return m; 
                   1311: } 
                   1312: 
                   1313: /****************** free_imatrix *************************/
                   1314: void free_imatrix(m,nrl,nrh,ncl,nch)
                   1315:       int **m;
                   1316:       long nch,ncl,nrh,nrl; 
                   1317:      /* free an int matrix allocated by imatrix() */ 
                   1318: { 
                   1319:   free((FREE_ARG) (m[nrl]+ncl-NR_END)); 
                   1320:   free((FREE_ARG) (m+nrl-NR_END)); 
                   1321: } 
                   1322: 
                   1323: /******************* matrix *******************************/
                   1324: double **matrix(long nrl, long nrh, long ncl, long nch)
                   1325: {
                   1326:   long i, nrow=nrh-nrl+1, ncol=nch-ncl+1;
                   1327:   double **m;
                   1328: 
                   1329:   m=(double **) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
                   1330:   if (!m) nrerror("allocation failure 1 in matrix()");
                   1331:   m += NR_END;
                   1332:   m -= nrl;
                   1333: 
                   1334:   m[nrl]=(double *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
                   1335:   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
                   1336:   m[nrl] += NR_END;
                   1337:   m[nrl] -= ncl;
                   1338: 
                   1339:   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
                   1340:   return m;
1.145     brouard  1341:   /* print *(*(m+1)+70) or print m[1][70]; print m+1 or print &(m[1]) or &(m[1][0])
                   1342: m[i] = address of ith row of the table. &(m[i]) is its value which is another adress
                   1343: that of m[i][0]. In order to get the value p m[i][0] but it is unitialized.
1.126     brouard  1344:    */
                   1345: }
                   1346: 
                   1347: /*************************free matrix ************************/
                   1348: void free_matrix(double **m, long nrl, long nrh, long ncl, long nch)
                   1349: {
                   1350:   free((FREE_ARG)(m[nrl]+ncl-NR_END));
                   1351:   free((FREE_ARG)(m+nrl-NR_END));
                   1352: }
                   1353: 
                   1354: /******************* ma3x *******************************/
                   1355: double ***ma3x(long nrl, long nrh, long ncl, long nch, long nll, long nlh)
                   1356: {
                   1357:   long i, j, nrow=nrh-nrl+1, ncol=nch-ncl+1, nlay=nlh-nll+1;
                   1358:   double ***m;
                   1359: 
                   1360:   m=(double ***) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
                   1361:   if (!m) nrerror("allocation failure 1 in matrix()");
                   1362:   m += NR_END;
                   1363:   m -= nrl;
                   1364: 
                   1365:   m[nrl]=(double **) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
                   1366:   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
                   1367:   m[nrl] += NR_END;
                   1368:   m[nrl] -= ncl;
                   1369: 
                   1370:   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
                   1371: 
                   1372:   m[nrl][ncl]=(double *) malloc((size_t)((nrow*ncol*nlay+NR_END)*sizeof(double)));
                   1373:   if (!m[nrl][ncl]) nrerror("allocation failure 3 in matrix()");
                   1374:   m[nrl][ncl] += NR_END;
                   1375:   m[nrl][ncl] -= nll;
                   1376:   for (j=ncl+1; j<=nch; j++) 
                   1377:     m[nrl][j]=m[nrl][j-1]+nlay;
                   1378:   
                   1379:   for (i=nrl+1; i<=nrh; i++) {
                   1380:     m[i][ncl]=m[i-1l][ncl]+ncol*nlay;
                   1381:     for (j=ncl+1; j<=nch; j++) 
                   1382:       m[i][j]=m[i][j-1]+nlay;
                   1383:   }
                   1384:   return m; 
                   1385:   /*  gdb: p *(m+1) <=> p m[1] and p (m+1) <=> p (m+1) <=> p &(m[1])
                   1386:            &(m[i][j][k]) <=> *((*(m+i) + j)+k)
                   1387:   */
                   1388: }
                   1389: 
                   1390: /*************************free ma3x ************************/
                   1391: void free_ma3x(double ***m, long nrl, long nrh, long ncl, long nch,long nll, long nlh)
                   1392: {
                   1393:   free((FREE_ARG)(m[nrl][ncl]+ nll-NR_END));
                   1394:   free((FREE_ARG)(m[nrl]+ncl-NR_END));
                   1395:   free((FREE_ARG)(m+nrl-NR_END));
                   1396: }
                   1397: 
                   1398: /*************** function subdirf ***********/
                   1399: char *subdirf(char fileres[])
                   1400: {
                   1401:   /* Caution optionfilefiname is hidden */
                   1402:   strcpy(tmpout,optionfilefiname);
                   1403:   strcat(tmpout,"/"); /* Add to the right */
                   1404:   strcat(tmpout,fileres);
                   1405:   return tmpout;
                   1406: }
                   1407: 
                   1408: /*************** function subdirf2 ***********/
                   1409: char *subdirf2(char fileres[], char *preop)
                   1410: {
                   1411:   
                   1412:   /* Caution optionfilefiname is hidden */
                   1413:   strcpy(tmpout,optionfilefiname);
                   1414:   strcat(tmpout,"/");
                   1415:   strcat(tmpout,preop);
                   1416:   strcat(tmpout,fileres);
                   1417:   return tmpout;
                   1418: }
                   1419: 
                   1420: /*************** function subdirf3 ***********/
                   1421: char *subdirf3(char fileres[], char *preop, char *preop2)
                   1422: {
                   1423:   
                   1424:   /* Caution optionfilefiname is hidden */
                   1425:   strcpy(tmpout,optionfilefiname);
                   1426:   strcat(tmpout,"/");
                   1427:   strcat(tmpout,preop);
                   1428:   strcat(tmpout,preop2);
                   1429:   strcat(tmpout,fileres);
                   1430:   return tmpout;
                   1431: }
1.213     brouard  1432:  
                   1433: /*************** function subdirfext ***********/
                   1434: char *subdirfext(char fileres[], char *preop, char *postop)
                   1435: {
                   1436:   
                   1437:   strcpy(tmpout,preop);
                   1438:   strcat(tmpout,fileres);
                   1439:   strcat(tmpout,postop);
                   1440:   return tmpout;
                   1441: }
1.126     brouard  1442: 
1.213     brouard  1443: /*************** function subdirfext3 ***********/
                   1444: char *subdirfext3(char fileres[], char *preop, char *postop)
                   1445: {
                   1446:   
                   1447:   /* Caution optionfilefiname is hidden */
                   1448:   strcpy(tmpout,optionfilefiname);
                   1449:   strcat(tmpout,"/");
                   1450:   strcat(tmpout,preop);
                   1451:   strcat(tmpout,fileres);
                   1452:   strcat(tmpout,postop);
                   1453:   return tmpout;
                   1454: }
                   1455:  
1.162     brouard  1456: char *asc_diff_time(long time_sec, char ascdiff[])
                   1457: {
                   1458:   long sec_left, days, hours, minutes;
                   1459:   days = (time_sec) / (60*60*24);
                   1460:   sec_left = (time_sec) % (60*60*24);
                   1461:   hours = (sec_left) / (60*60) ;
                   1462:   sec_left = (sec_left) %(60*60);
                   1463:   minutes = (sec_left) /60;
                   1464:   sec_left = (sec_left) % (60);
                   1465:   sprintf(ascdiff,"%ld day(s) %ld hour(s) %ld minute(s) %ld second(s)",days, hours, minutes, sec_left);  
                   1466:   return ascdiff;
                   1467: }
                   1468: 
1.126     brouard  1469: /***************** f1dim *************************/
                   1470: extern int ncom; 
                   1471: extern double *pcom,*xicom;
                   1472: extern double (*nrfunc)(double []); 
                   1473:  
                   1474: double f1dim(double x) 
                   1475: { 
                   1476:   int j; 
                   1477:   double f;
                   1478:   double *xt; 
                   1479:  
                   1480:   xt=vector(1,ncom); 
                   1481:   for (j=1;j<=ncom;j++) xt[j]=pcom[j]+x*xicom[j]; 
                   1482:   f=(*nrfunc)(xt); 
                   1483:   free_vector(xt,1,ncom); 
                   1484:   return f; 
                   1485: } 
                   1486: 
                   1487: /*****************brent *************************/
                   1488: double brent(double ax, double bx, double cx, double (*f)(double), double tol,         double *xmin) 
1.187     brouard  1489: {
                   1490:   /* Given a function f, and given a bracketing triplet of abscissas ax, bx, cx (such that bx is
                   1491:    * between ax and cx, and f(bx) is less than both f(ax) and f(cx) ), this routine isolates
                   1492:    * the minimum to a fractional precision of about tol using Brent’s method. The abscissa of
                   1493:    * the minimum is returned as xmin, and the minimum function value is returned as brent , the
                   1494:    * returned function value. 
                   1495:   */
1.126     brouard  1496:   int iter; 
                   1497:   double a,b,d,etemp;
1.159     brouard  1498:   double fu=0,fv,fw,fx;
1.164     brouard  1499:   double ftemp=0.;
1.126     brouard  1500:   double p,q,r,tol1,tol2,u,v,w,x,xm; 
                   1501:   double e=0.0; 
                   1502:  
                   1503:   a=(ax < cx ? ax : cx); 
                   1504:   b=(ax > cx ? ax : cx); 
                   1505:   x=w=v=bx; 
                   1506:   fw=fv=fx=(*f)(x); 
                   1507:   for (iter=1;iter<=ITMAX;iter++) { 
                   1508:     xm=0.5*(a+b); 
                   1509:     tol2=2.0*(tol1=tol*fabs(x)+ZEPS); 
                   1510:     /*         if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret)))*/
                   1511:     printf(".");fflush(stdout);
                   1512:     fprintf(ficlog,".");fflush(ficlog);
1.162     brouard  1513: #ifdef DEBUGBRENT
1.126     brouard  1514:     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);
                   1515:     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);
                   1516:     /*         if ((fabs(x-xm) <= (tol2-0.5*(b-a)))||(2.0*fabs(fu-ftemp) <= ftol*1.e-2*(fabs(fu)+fabs(ftemp)))) { */
                   1517: #endif
                   1518:     if (fabs(x-xm) <= (tol2-0.5*(b-a))){ 
                   1519:       *xmin=x; 
                   1520:       return fx; 
                   1521:     } 
                   1522:     ftemp=fu;
                   1523:     if (fabs(e) > tol1) { 
                   1524:       r=(x-w)*(fx-fv); 
                   1525:       q=(x-v)*(fx-fw); 
                   1526:       p=(x-v)*q-(x-w)*r; 
                   1527:       q=2.0*(q-r); 
                   1528:       if (q > 0.0) p = -p; 
                   1529:       q=fabs(q); 
                   1530:       etemp=e; 
                   1531:       e=d; 
                   1532:       if (fabs(p) >= fabs(0.5*q*etemp) || p <= q*(a-x) || p >= q*(b-x)) 
                   1533:        d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
                   1534:       else { 
                   1535:        d=p/q; 
                   1536:        u=x+d; 
                   1537:        if (u-a < tol2 || b-u < tol2) 
                   1538:          d=SIGN(tol1,xm-x); 
                   1539:       } 
                   1540:     } else { 
                   1541:       d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
                   1542:     } 
                   1543:     u=(fabs(d) >= tol1 ? x+d : x+SIGN(tol1,d)); 
                   1544:     fu=(*f)(u); 
                   1545:     if (fu <= fx) { 
                   1546:       if (u >= x) a=x; else b=x; 
                   1547:       SHFT(v,w,x,u) 
1.183     brouard  1548:       SHFT(fv,fw,fx,fu) 
                   1549:     } else { 
                   1550:       if (u < x) a=u; else b=u; 
                   1551:       if (fu <= fw || w == x) { 
                   1552:        v=w; 
                   1553:        w=u; 
                   1554:        fv=fw; 
                   1555:        fw=fu; 
                   1556:       } else if (fu <= fv || v == x || v == w) { 
                   1557:        v=u; 
                   1558:        fv=fu; 
                   1559:       } 
                   1560:     } 
1.126     brouard  1561:   } 
                   1562:   nrerror("Too many iterations in brent"); 
                   1563:   *xmin=x; 
                   1564:   return fx; 
                   1565: } 
                   1566: 
                   1567: /****************** mnbrak ***********************/
                   1568: 
                   1569: void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, double *fc, 
                   1570:            double (*func)(double)) 
1.183     brouard  1571: { /* Given a function func , and given distinct initial points ax and bx , this routine searches in
                   1572: the downhill direction (defined by the function as evaluated at the initial points) and returns
                   1573: new points ax , bx , cx that bracket a minimum of the function. Also returned are the function
                   1574: values at the three points, fa, fb , and fc such that fa > fb and fb < fc.
                   1575:    */
1.126     brouard  1576:   double ulim,u,r,q, dum;
                   1577:   double fu; 
1.187     brouard  1578: 
                   1579:   double scale=10.;
                   1580:   int iterscale=0;
                   1581: 
                   1582:   *fa=(*func)(*ax); /*  xta[j]=pcom[j]+(*ax)*xicom[j]; fa=f(xta[j])*/
                   1583:   *fb=(*func)(*bx); /*  xtb[j]=pcom[j]+(*bx)*xicom[j]; fb=f(xtb[j]) */
                   1584: 
                   1585: 
                   1586:   /* while(*fb != *fb){ /\* *ax should be ok, reducing distance to *ax *\/ */
                   1587:   /*   printf("Warning mnbrak *fb = %lf, *bx=%lf *ax=%lf *fa==%lf iter=%d\n",*fb, *bx, *ax, *fa, iterscale++); */
                   1588:   /*   *bx = *ax - (*ax - *bx)/scale; */
                   1589:   /*   *fb=(*func)(*bx);  /\*  xtb[j]=pcom[j]+(*bx)*xicom[j]; fb=f(xtb[j]) *\/ */
                   1590:   /* } */
                   1591: 
1.126     brouard  1592:   if (*fb > *fa) { 
                   1593:     SHFT(dum,*ax,*bx,dum) 
1.183     brouard  1594:     SHFT(dum,*fb,*fa,dum) 
                   1595:   } 
1.126     brouard  1596:   *cx=(*bx)+GOLD*(*bx-*ax); 
                   1597:   *fc=(*func)(*cx); 
1.183     brouard  1598: #ifdef DEBUG
                   1599:   printf("mnbrak0 *fb=%.12e *fc=%.12e\n",*fb,*fc);
                   1600:   fprintf(ficlog,"mnbrak0 *fb=%.12e *fc=%.12e\n",*fb,*fc);
                   1601: #endif
                   1602:   while (*fb > *fc) { /* Declining a,b,c with fa> fb > fc */
1.126     brouard  1603:     r=(*bx-*ax)*(*fb-*fc); 
                   1604:     q=(*bx-*cx)*(*fb-*fa); 
                   1605:     u=(*bx)-((*bx-*cx)*q-(*bx-*ax)*r)/ 
1.183     brouard  1606:       (2.0*SIGN(FMAX(fabs(q-r),TINY),q-r)); /* Minimum abscissa of a parabolic estimated from (a,fa), (b,fb) and (c,fc). */
                   1607:     ulim=(*bx)+GLIMIT*(*cx-*bx); /* Maximum abscissa where function should be evaluated */
                   1608:     if ((*bx-u)*(u-*cx) > 0.0) { /* if u_p is between b and c */
1.126     brouard  1609:       fu=(*func)(u); 
1.163     brouard  1610: #ifdef DEBUG
                   1611:       /* f(x)=A(x-u)**2+f(u) */
                   1612:       double A, fparabu; 
                   1613:       A= (*fb - *fa)/(*bx-*ax)/(*bx+*ax-2*u);
                   1614:       fparabu= *fa - A*(*ax-u)*(*ax-u);
                   1615:       printf("mnbrak (*ax=%.12f, *fa=%.12lf), (*bx=%.12f, *fb=%.12lf), (*cx=%.12f, *fc=%.12lf),  (*u=%.12f, fu=%.12lf, fparabu=%.12f)\n",*ax,*fa,*bx,*fb,*cx,*fc,u,fu, fparabu);
                   1616:       fprintf(ficlog, "mnbrak (*ax=%.12f, *fa=%.12lf), (*bx=%.12f, *fb=%.12lf), (*cx=%.12f, *fc=%.12lf),  (*u=%.12f, fu=%.12lf, fparabu=%.12f)\n",*ax,*fa,*bx,*fb,*cx,*fc,u,fu, fparabu);
1.183     brouard  1617:       /* And thus,it can be that fu > *fc even if fparabu < *fc */
                   1618:       /* mnbrak (*ax=7.666299858533, *fa=299039.693133272231), (*bx=8.595447774979, *fb=298976.598289369489),
                   1619:         (*cx=10.098840694817, *fc=298946.631474258087),  (*u=9.852501168332, fu=298948.773013752128, fparabu=298945.434711494134) */
                   1620:       /* In that case, there is no bracket in the output! Routine is wrong with many consequences.*/
1.163     brouard  1621: #endif 
1.184     brouard  1622: #ifdef MNBRAKORIGINAL
1.183     brouard  1623: #else
1.191     brouard  1624: /*       if (fu > *fc) { */
                   1625: /* #ifdef DEBUG */
                   1626: /*       printf("mnbrak4  fu > fc \n"); */
                   1627: /*       fprintf(ficlog, "mnbrak4 fu > fc\n"); */
                   1628: /* #endif */
                   1629: /*     /\* SHFT(u,*cx,*cx,u) /\\* ie a=c, c=u and u=c; in that case, next SHFT(a,b,c,u) will give a=b=b, b=c=u, c=u=c and *\\/  *\/ */
                   1630: /*     /\* SHFT(*fa,*fc,fu,*fc) /\\* (b, u, c) is a bracket while test fb > fc will be fu > fc  will exit *\\/ *\/ */
                   1631: /*     dum=u; /\* Shifting c and u *\/ */
                   1632: /*     u = *cx; */
                   1633: /*     *cx = dum; */
                   1634: /*     dum = fu; */
                   1635: /*     fu = *fc; */
                   1636: /*     *fc =dum; */
                   1637: /*       } else { /\* end *\/ */
                   1638: /* #ifdef DEBUG */
                   1639: /*       printf("mnbrak3  fu < fc \n"); */
                   1640: /*       fprintf(ficlog, "mnbrak3 fu < fc\n"); */
                   1641: /* #endif */
                   1642: /*     dum=u; /\* Shifting c and u *\/ */
                   1643: /*     u = *cx; */
                   1644: /*     *cx = dum; */
                   1645: /*     dum = fu; */
                   1646: /*     fu = *fc; */
                   1647: /*     *fc =dum; */
                   1648: /*       } */
1.183     brouard  1649: #ifdef DEBUG
1.191     brouard  1650:       printf("mnbrak34  fu < or >= fc \n");
                   1651:       fprintf(ficlog, "mnbrak34 fu < fc\n");
1.183     brouard  1652: #endif
1.191     brouard  1653:       dum=u; /* Shifting c and u */
                   1654:       u = *cx;
                   1655:       *cx = dum;
                   1656:       dum = fu;
                   1657:       fu = *fc;
                   1658:       *fc =dum;
1.183     brouard  1659: #endif
1.162     brouard  1660:     } else if ((*cx-u)*(u-ulim) > 0.0) { /* u is after c but before ulim */
1.183     brouard  1661: #ifdef DEBUG
                   1662:       printf("mnbrak2  u after c but before ulim\n");
                   1663:       fprintf(ficlog, "mnbrak2 u after c but before ulim\n");
                   1664: #endif
1.126     brouard  1665:       fu=(*func)(u); 
                   1666:       if (fu < *fc) { 
1.183     brouard  1667: #ifdef DEBUG
                   1668:       printf("mnbrak2  u after c but before ulim AND fu < fc\n");
                   1669:       fprintf(ficlog, "mnbrak2 u after c but before ulim AND fu <fc \n");
                   1670: #endif
1.126     brouard  1671:        SHFT(*bx,*cx,u,*cx+GOLD*(*cx-*bx)) 
1.183     brouard  1672:        SHFT(*fb,*fc,fu,(*func)(u)) 
                   1673:       } 
1.162     brouard  1674:     } else if ((u-ulim)*(ulim-*cx) >= 0.0) { /* u outside ulim (verifying that ulim is beyond c) */
1.183     brouard  1675: #ifdef DEBUG
                   1676:       printf("mnbrak2  u outside ulim (verifying that ulim is beyond c)\n");
                   1677:       fprintf(ficlog, "mnbrak2 u outside ulim (verifying that ulim is beyond c)\n");
                   1678: #endif
1.126     brouard  1679:       u=ulim; 
                   1680:       fu=(*func)(u); 
1.183     brouard  1681:     } else { /* u could be left to b (if r > q parabola has a maximum) */
                   1682: #ifdef DEBUG
                   1683:       printf("mnbrak2  u could be left to b (if r > q parabola has a maximum)\n");
                   1684:       fprintf(ficlog, "mnbrak2  u could be left to b (if r > q parabola has a maximum)\n");
                   1685: #endif
1.126     brouard  1686:       u=(*cx)+GOLD*(*cx-*bx); 
                   1687:       fu=(*func)(u); 
1.183     brouard  1688:     } /* end tests */
1.126     brouard  1689:     SHFT(*ax,*bx,*cx,u) 
1.183     brouard  1690:     SHFT(*fa,*fb,*fc,fu) 
                   1691: #ifdef DEBUG
                   1692:       printf("mnbrak2 (*ax=%.12f, *fa=%.12lf), (*bx=%.12f, *fb=%.12lf), (*cx=%.12f, *fc=%.12lf),  (*u=%.12f, fu=%.12lf)\n",*ax,*fa,*bx,*fb,*cx,*fc,u,fu);
                   1693:       fprintf(ficlog, "mnbrak2 (*ax=%.12f, *fa=%.12lf), (*bx=%.12f, *fb=%.12lf), (*cx=%.12f, *fc=%.12lf),  (*u=%.12f, fu=%.12lf)\n",*ax,*fa,*bx,*fb,*cx,*fc,u,fu);
                   1694: #endif
                   1695:   } /* end while; ie return (a, b, c, fa, fb, fc) such that a < b < c with f(a) > f(b) and fb < f(c) */
1.126     brouard  1696: } 
                   1697: 
                   1698: /*************** linmin ************************/
1.162     brouard  1699: /* Given an n -dimensional point p[1..n] and an n -dimensional direction xi[1..n] , moves and
                   1700: resets p to where the function func(p) takes on a minimum along the direction xi from p ,
                   1701: and replaces xi by the actual vector displacement that p was moved. Also returns as fret
                   1702: the value of func at the returned location p . This is actually all accomplished by calling the
                   1703: routines mnbrak and brent .*/
1.126     brouard  1704: int ncom; 
                   1705: double *pcom,*xicom;
                   1706: double (*nrfunc)(double []); 
                   1707:  
                   1708: void linmin(double p[], double xi[], int n, double *fret,double (*func)(double [])) 
                   1709: { 
                   1710:   double brent(double ax, double bx, double cx, 
                   1711:               double (*f)(double), double tol, double *xmin); 
                   1712:   double f1dim(double x); 
                   1713:   void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, 
                   1714:              double *fc, double (*func)(double)); 
                   1715:   int j; 
                   1716:   double xx,xmin,bx,ax; 
                   1717:   double fx,fb,fa;
1.187     brouard  1718: 
1.203     brouard  1719: #ifdef LINMINORIGINAL
                   1720: #else
                   1721:   double scale=10., axs, xxs; /* Scale added for infinity */
                   1722: #endif
                   1723:   
1.126     brouard  1724:   ncom=n; 
                   1725:   pcom=vector(1,n); 
                   1726:   xicom=vector(1,n); 
                   1727:   nrfunc=func; 
                   1728:   for (j=1;j<=n;j++) { 
                   1729:     pcom[j]=p[j]; 
1.202     brouard  1730:     xicom[j]=xi[j]; /* Former scale xi[j] of currrent direction i */
1.126     brouard  1731:   } 
1.187     brouard  1732: 
1.203     brouard  1733: #ifdef LINMINORIGINAL
                   1734:   xx=1.;
                   1735: #else
                   1736:   axs=0.0;
                   1737:   xxs=1.;
                   1738:   do{
                   1739:     xx= xxs;
                   1740: #endif
1.187     brouard  1741:     ax=0.;
                   1742:     mnbrak(&ax,&xx,&bx,&fa,&fx,&fb,f1dim);  /* Outputs: xtx[j]=pcom[j]+(*xx)*xicom[j]; fx=f(xtx[j]) */
                   1743:     /* brackets with inputs ax=0 and xx=1, but points, pcom=p, and directions values, xicom=xi, are sent via f1dim(x) */
                   1744:     /* xt[x,j]=pcom[j]+x*xicom[j]  f(ax) = f(xt(a,j=1,n)) = f(p(j) + 0 * xi(j)) and  f(xx) = f(xt(x, j=1,n)) = f(p(j) + 1 * xi(j))   */
                   1745:     /* Outputs: fa=f(p(j)) and fx=f(p(j) + xxs * xi(j) ) and f(bx)= f(p(j)+ bx* xi(j)) */
                   1746:     /* Given input ax=axs and xx=xxs, xx might be too far from ax to get a finite f(xx) */
                   1747:     /* Searches on line, outputs (ax, xx, bx) such that fx < min(fa and fb) */
                   1748:     /* Find a bracket a,x,b in direction n=xi ie xicom, order may change. Scale is [0:xxs*xi[j]] et non plus  [0:xi[j]]*/
1.203     brouard  1749: #ifdef LINMINORIGINAL
                   1750: #else
                   1751:     if (fx != fx){
                   1752:        xxs=xxs/scale; /* Trying a smaller xx, closer to initial ax=0 */
                   1753:        printf("|");
                   1754:        fprintf(ficlog,"|");
                   1755: #ifdef DEBUGLINMIN
                   1756:        printf("\nLinmin NAN : input [axs=%lf:xxs=%lf], mnbrak outputs fx=%lf <(fb=%lf and fa=%lf) with xx=%lf in [ax=%lf:bx=%lf] \n",  axs, xxs, fx,fb, fa, xx, ax, bx);
                   1757: #endif
                   1758:     }
                   1759:   }while(fx != fx);
                   1760: #endif
                   1761:   
1.191     brouard  1762: #ifdef DEBUGLINMIN
                   1763:   printf("\nLinmin after mnbrak: ax=%12.7f xx=%12.7f bx=%12.7f fa=%12.2f fx=%12.2f fb=%12.2f\n",  ax,xx,bx,fa,fx,fb);
1.202     brouard  1764:   fprintf(ficlog,"\nLinmin after mnbrak: ax=%12.7f xx=%12.7f bx=%12.7f fa=%12.2f fx=%12.2f fb=%12.2f\n",  ax,xx,bx,fa,fx,fb);
1.191     brouard  1765: #endif
1.187     brouard  1766:   *fret=brent(ax,xx,bx,f1dim,TOL,&xmin); /* Giving a bracketting triplet (ax, xx, bx), find a minimum, xmin, according to f1dim, *fret(xmin),*/
                   1767:   /* fa = f(p[j] + ax * xi[j]), fx = f(p[j] + xx * xi[j]), fb = f(p[j] + bx * xi[j]) */
                   1768:   /* fmin = f(p[j] + xmin * xi[j]) */
                   1769:   /* P+lambda n in that direction (lambdamin), with TOL between abscisses */
                   1770:   /* f1dim(xmin): for (j=1;j<=ncom;j++) xt[j]=pcom[j]+xmin*xicom[j]; */
1.126     brouard  1771: #ifdef DEBUG
                   1772:   printf("retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);
                   1773:   fprintf(ficlog,"retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);
                   1774: #endif
1.191     brouard  1775: #ifdef DEBUGLINMIN
                   1776:   printf("linmin end ");
1.202     brouard  1777:   fprintf(ficlog,"linmin end ");
1.191     brouard  1778: #endif
1.126     brouard  1779:   for (j=1;j<=n;j++) { 
1.203     brouard  1780: #ifdef LINMINORIGINAL
                   1781:     xi[j] *= xmin; 
                   1782: #else
                   1783: #ifdef DEBUGLINMIN
                   1784:     if(xxs <1.0)
                   1785:       printf(" before xi[%d]=%12.8f", j,xi[j]);
                   1786: #endif
                   1787:     xi[j] *= xmin*xxs; /* xi rescaled by xmin and number of loops: if xmin=-1.237 and xi=(1,0,...,0) xi=(-1.237,0,...,0) */
                   1788: #ifdef DEBUGLINMIN
                   1789:     if(xxs <1.0)
                   1790:       printf(" after xi[%d]=%12.8f, xmin=%12.8f, ax=%12.8f, xx=%12.8f, bx=%12.8f, xxs=%12.8f", j,xi[j], xmin, ax, xx, bx,xxs );
                   1791: #endif
                   1792: #endif
1.187     brouard  1793:     p[j] += xi[j]; /* Parameters values are updated accordingly */
1.126     brouard  1794:   } 
1.191     brouard  1795: #ifdef DEBUGLINMIN
1.203     brouard  1796:   printf("\n");
1.191     brouard  1797:   printf("Comparing last *frec(xmin=%12.8f)=%12.8f from Brent and frec(0.)=%12.8f \n", xmin, *fret, (*func)(p));
1.202     brouard  1798:   fprintf(ficlog,"Comparing last *frec(xmin=%12.8f)=%12.8f from Brent and frec(0.)=%12.8f \n", xmin, *fret, (*func)(p));
1.191     brouard  1799:   for (j=1;j<=n;j++) { 
1.202     brouard  1800:     printf(" xi[%d]= %14.10f p[%d]= %12.7f",j,xi[j],j,p[j]);
                   1801:     fprintf(ficlog," xi[%d]= %14.10f p[%d]= %12.7f",j,xi[j],j,p[j]);
                   1802:     if(j % ncovmodel == 0){
1.191     brouard  1803:       printf("\n");
1.202     brouard  1804:       fprintf(ficlog,"\n");
                   1805:     }
1.191     brouard  1806:   }
1.203     brouard  1807: #else
1.191     brouard  1808: #endif
1.126     brouard  1809:   free_vector(xicom,1,n); 
                   1810:   free_vector(pcom,1,n); 
                   1811: } 
                   1812: 
                   1813: 
                   1814: /*************** powell ************************/
1.162     brouard  1815: /*
                   1816: Minimization of a function func of n variables. Input consists of an initial starting point
                   1817: p[1..n] ; an initial matrix xi[1..n][1..n] , whose columns contain the initial set of di-
                   1818: rections (usually the n unit vectors); and ftol , the fractional tolerance in the function value
                   1819: such that failure to decrease by more than this amount on one iteration signals doneness. On
                   1820: output, p is set to the best point found, xi is the then-current direction set, fret is the returned
                   1821: function value at p , and iter is the number of iterations taken. The routine linmin is used.
                   1822:  */
1.126     brouard  1823: void powell(double p[], double **xi, int n, double ftol, int *iter, double *fret, 
                   1824:            double (*func)(double [])) 
                   1825: { 
                   1826:   void linmin(double p[], double xi[], int n, double *fret, 
                   1827:              double (*func)(double [])); 
                   1828:   int i,ibig,j; 
                   1829:   double del,t,*pt,*ptt,*xit;
1.181     brouard  1830:   double directest;
1.126     brouard  1831:   double fp,fptt;
                   1832:   double *xits;
                   1833:   int niterf, itmp;
                   1834: 
                   1835:   pt=vector(1,n); 
                   1836:   ptt=vector(1,n); 
                   1837:   xit=vector(1,n); 
                   1838:   xits=vector(1,n); 
                   1839:   *fret=(*func)(p); 
                   1840:   for (j=1;j<=n;j++) pt[j]=p[j]; 
1.202     brouard  1841:   rcurr_time = time(NULL);  
1.126     brouard  1842:   for (*iter=1;;++(*iter)) { 
1.187     brouard  1843:     fp=(*fret); /* From former iteration or initial value */
1.126     brouard  1844:     ibig=0; 
                   1845:     del=0.0; 
1.157     brouard  1846:     rlast_time=rcurr_time;
                   1847:     /* (void) gettimeofday(&curr_time,&tzp); */
                   1848:     rcurr_time = time(NULL);  
                   1849:     curr_time = *localtime(&rcurr_time);
                   1850:     printf("\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret, rcurr_time-rlast_time, rcurr_time-rstart_time);fflush(stdout);
                   1851:     fprintf(ficlog,"\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret,rcurr_time-rlast_time, rcurr_time-rstart_time); fflush(ficlog);
                   1852: /*     fprintf(ficrespow,"%d %.12f %ld",*iter,*fret,curr_time.tm_sec-start_time.tm_sec); */
1.192     brouard  1853:     for (i=1;i<=n;i++) {
1.126     brouard  1854:       printf(" %d %.12f",i, p[i]);
                   1855:       fprintf(ficlog," %d %.12lf",i, p[i]);
                   1856:       fprintf(ficrespow," %.12lf", p[i]);
                   1857:     }
                   1858:     printf("\n");
                   1859:     fprintf(ficlog,"\n");
                   1860:     fprintf(ficrespow,"\n");fflush(ficrespow);
                   1861:     if(*iter <=3){
1.157     brouard  1862:       tml = *localtime(&rcurr_time);
                   1863:       strcpy(strcurr,asctime(&tml));
                   1864:       rforecast_time=rcurr_time; 
1.126     brouard  1865:       itmp = strlen(strcurr);
                   1866:       if(strcurr[itmp-1]=='\n')  /* Windows outputs with a new line */
                   1867:        strcurr[itmp-1]='\0';
1.162     brouard  1868:       printf("\nConsidering the time needed for the last iteration #%d: %ld seconds,\n",*iter,rcurr_time-rlast_time);
1.157     brouard  1869:       fprintf(ficlog,"\nConsidering the time needed for this last iteration #%d: %ld seconds,\n",*iter,rcurr_time-rlast_time);
1.126     brouard  1870:       for(niterf=10;niterf<=30;niterf+=10){
1.157     brouard  1871:        rforecast_time=rcurr_time+(niterf-*iter)*(rcurr_time-rlast_time);
                   1872:        forecast_time = *localtime(&rforecast_time);
                   1873:        strcpy(strfor,asctime(&forecast_time));
1.126     brouard  1874:        itmp = strlen(strfor);
                   1875:        if(strfor[itmp-1]=='\n')
                   1876:        strfor[itmp-1]='\0';
1.157     brouard  1877:        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);
                   1878:        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);
1.126     brouard  1879:       }
                   1880:     }
1.187     brouard  1881:     for (i=1;i<=n;i++) { /* For each direction i */
                   1882:       for (j=1;j<=n;j++) xit[j]=xi[j][i]; /* Directions stored from previous iteration with previous scales */
1.126     brouard  1883:       fptt=(*fret); 
                   1884: #ifdef DEBUG
1.203     brouard  1885:       printf("fret=%lf, %lf, %lf \n", *fret, *fret, *fret);
                   1886:       fprintf(ficlog, "fret=%lf, %lf, %lf \n", *fret, *fret, *fret);
1.126     brouard  1887: #endif
1.203     brouard  1888:       printf("%d",i);fflush(stdout); /* print direction (parameter) i */
1.126     brouard  1889:       fprintf(ficlog,"%d",i);fflush(ficlog);
1.188     brouard  1890:       linmin(p,xit,n,fret,func); /* Point p[n]. xit[n] has been loaded for direction i as input.*/
                   1891:                                    /* Outputs are fret(new point p) p is updated and xit rescaled */
                   1892:       if (fabs(fptt-(*fret)) > del) { /* We are keeping the max gain on each of the n directions */
                   1893:        /* because that direction will be replaced unless the gain del is small */
                   1894:        /* in comparison with the 'probable' gain, mu^2, with the last average direction. */
                   1895:        /* Unless the n directions are conjugate some gain in the determinant may be obtained */
                   1896:        /* with the new direction. */
1.126     brouard  1897:        del=fabs(fptt-(*fret)); 
                   1898:        ibig=i; 
                   1899:       } 
                   1900: #ifdef DEBUG
                   1901:       printf("%d %.12e",i,(*fret));
                   1902:       fprintf(ficlog,"%d %.12e",i,(*fret));
                   1903:       for (j=1;j<=n;j++) {
                   1904:        xits[j]=FMAX(fabs(p[j]-pt[j]),1.e-5);
                   1905:        printf(" x(%d)=%.12e",j,xit[j]);
                   1906:        fprintf(ficlog," x(%d)=%.12e",j,xit[j]);
                   1907:       }
                   1908:       for(j=1;j<=n;j++) {
1.162     brouard  1909:        printf(" p(%d)=%.12e",j,p[j]);
                   1910:        fprintf(ficlog," p(%d)=%.12e",j,p[j]);
1.126     brouard  1911:       }
                   1912:       printf("\n");
                   1913:       fprintf(ficlog,"\n");
                   1914: #endif
1.187     brouard  1915:     } /* end loop on each direction i */
                   1916:     /* Convergence test will use last linmin estimation (fret) and compare former iteration (fp) */ 
1.188     brouard  1917:     /* But p and xit have been updated at the end of linmin, *fret corresponds to new p, xit  */
1.187     brouard  1918:     /* New value of last point Pn is not computed, P(n-1) */
1.182     brouard  1919:     if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret))) { /* Did we reach enough precision? */
1.188     brouard  1920:       /* We could compare with a chi^2. chisquare(0.95,ddl=1)=3.84 */
                   1921:       /* By adding age*age in a model, the new -2LL should be lower and the difference follows a */
                   1922:       /* a chisquare statistics with 1 degree. To be significant at the 95% level, it should have */
                   1923:       /* decreased of more than 3.84  */
                   1924:       /* By adding age*age and V1*age the gain (-2LL) should be more than 5.99 (ddl=2) */
                   1925:       /* By using V1+V2+V3, the gain should be  7.82, compared with basic 1+age. */
                   1926:       /* By adding 10 parameters more the gain should be 18.31 */
                   1927: 
                   1928:       /* Starting the program with initial values given by a former maximization will simply change */
                   1929:       /* the scales of the directions and the directions, because the are reset to canonical directions */
                   1930:       /* Thus the first calls to linmin will give new points and better maximizations until fp-(*fret) is */
                   1931:       /* under the tolerance value. If the tolerance is very small 1.e-9, it could last long.  */
1.126     brouard  1932: #ifdef DEBUG
                   1933:       int k[2],l;
                   1934:       k[0]=1;
                   1935:       k[1]=-1;
                   1936:       printf("Max: %.12e",(*func)(p));
                   1937:       fprintf(ficlog,"Max: %.12e",(*func)(p));
                   1938:       for (j=1;j<=n;j++) {
                   1939:        printf(" %.12e",p[j]);
                   1940:        fprintf(ficlog," %.12e",p[j]);
                   1941:       }
                   1942:       printf("\n");
                   1943:       fprintf(ficlog,"\n");
                   1944:       for(l=0;l<=1;l++) {
                   1945:        for (j=1;j<=n;j++) {
                   1946:          ptt[j]=p[j]+(p[j]-pt[j])*k[l];
                   1947:          printf("l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
                   1948:          fprintf(ficlog,"l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
                   1949:        }
                   1950:        printf("func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
                   1951:        fprintf(ficlog,"func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
                   1952:       }
                   1953: #endif
                   1954: 
                   1955: 
                   1956:       free_vector(xit,1,n); 
                   1957:       free_vector(xits,1,n); 
                   1958:       free_vector(ptt,1,n); 
                   1959:       free_vector(pt,1,n); 
                   1960:       return; 
1.192     brouard  1961:     } /* enough precision */ 
1.126     brouard  1962:     if (*iter == ITMAX) nrerror("powell exceeding maximum iterations."); 
1.181     brouard  1963:     for (j=1;j<=n;j++) { /* Computes the extrapolated point P_0 + 2 (P_n-P_0) */
1.126     brouard  1964:       ptt[j]=2.0*p[j]-pt[j]; 
                   1965:       xit[j]=p[j]-pt[j]; 
                   1966:       pt[j]=p[j]; 
                   1967:     } 
1.181     brouard  1968:     fptt=(*func)(ptt); /* f_3 */
1.192     brouard  1969: #ifdef POWELLF1F3
                   1970: #else
1.161     brouard  1971:     if (fptt < fp) { /* If extrapolated point is better, decide if we keep that new direction or not */
1.192     brouard  1972: #endif
1.162     brouard  1973:       /* (x1 f1=fp), (x2 f2=*fret), (x3 f3=fptt), (xm fm) */
1.161     brouard  1974:       /* From x1 (P0) distance of x2 is at h and x3 is 2h */
1.162     brouard  1975:       /* Let f"(x2) be the 2nd derivative equal everywhere.  */
                   1976:       /* Then the parabolic through (x1,f1), (x2,f2) and (x3,f3) */
                   1977:       /* will reach at f3 = fm + h^2/2 f"m  ; f" = (f1 -2f2 +f3 ) / h**2 */
1.181     brouard  1978:       /* Conditional for using this new direction is that mu^2 = (f1-2f2+f3)^2 /2 < del */
1.161     brouard  1979:       /* t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)-del*SQR(fp-fptt); */
1.183     brouard  1980: #ifdef NRCORIGINAL
                   1981:       t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)- del*SQR(fp-fptt); /* Original Numerical Recipes in C*/
                   1982: #else
                   1983:       t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del); /* Intel compiler doesn't work on one line; bug reported */
1.161     brouard  1984:       t= t- del*SQR(fp-fptt);
1.183     brouard  1985: #endif
1.202     brouard  1986:       directest = fp-2.0*(*fret)+fptt - 2.0 * del; /* If delta was big enough we change it for a new direction */
1.161     brouard  1987: #ifdef DEBUG
1.181     brouard  1988:       printf("t1= %.12lf, t2= %.12lf, t=%.12lf  directest=%.12lf\n", 2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del),del*SQR(fp-fptt),t,directest);
                   1989:       fprintf(ficlog,"t1= %.12lf, t2= %.12lf, t=%.12lf directest=%.12lf\n", 2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del),del*SQR(fp-fptt),t,directest);
1.161     brouard  1990:       printf("t3= %.12lf, t4= %.12lf, t3*= %.12lf, t4*= %.12lf\n",SQR(fp-(*fret)-del),SQR(fp-fptt),
                   1991:             (fp-(*fret)-del)*(fp-(*fret)-del),(fp-fptt)*(fp-fptt));
                   1992:       fprintf(ficlog,"t3= %.12lf, t4= %.12lf, t3*= %.12lf, t4*= %.12lf\n",SQR(fp-(*fret)-del),SQR(fp-fptt),
                   1993:             (fp-(*fret)-del)*(fp-(*fret)-del),(fp-fptt)*(fp-fptt));
                   1994:       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);
                   1995:       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);
                   1996: #endif
1.183     brouard  1997: #ifdef POWELLORIGINAL
                   1998:       if (t < 0.0) { /* Then we use it for new direction */
                   1999: #else
1.182     brouard  2000:       if (directest*t < 0.0) { /* Contradiction between both tests */
1.202     brouard  2001:        printf("directest= %.12lf (if <0 we include P0 Pn as new direction), t= %.12lf, f1= %.12lf,f2= %.12lf,f3= %.12lf, del= %.12lf\n",directest, t, fp,(*fret),fptt,del);
1.192     brouard  2002:         printf("f1-2f2+f3= %.12lf, f1-f2-del= %.12lf, f1-f3= %.12lf\n",fp-2.0*(*fret)+fptt, fp -(*fret) -del, fp-fptt);
1.202     brouard  2003:         fprintf(ficlog,"directest= %.12lf (if <0 we include P0 Pn as new direction), t= %.12lf, f1= %.12lf,f2= %.12lf,f3= %.12lf, del= %.12lf\n",directest, t, fp,(*fret),fptt, del);
1.192     brouard  2004:         fprintf(ficlog,"f1-2f2+f3= %.12lf, f1-f2-del= %.12lf, f1-f3= %.12lf\n",fp-2.0*(*fret)+fptt, fp -(*fret) -del, fp-fptt);
                   2005:       } 
1.181     brouard  2006:       if (directest < 0.0) { /* Then we use it for new direction */
                   2007: #endif
1.191     brouard  2008: #ifdef DEBUGLINMIN
                   2009:        printf("Before linmin in direction P%d-P0\n",n);
                   2010:        for (j=1;j<=n;j++) { 
1.202     brouard  2011:          printf(" Before xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   2012:          fprintf(ficlog," Before xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   2013:          if(j % ncovmodel == 0){
1.191     brouard  2014:            printf("\n");
1.202     brouard  2015:            fprintf(ficlog,"\n");
                   2016:          }
1.191     brouard  2017:        }
                   2018: #endif
1.187     brouard  2019:        linmin(p,xit,n,fret,func); /* computes minimum on the extrapolated direction: changes p and rescales xit.*/
1.191     brouard  2020: #ifdef DEBUGLINMIN
                   2021:        for (j=1;j<=n;j++) { 
                   2022:          printf("After xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
1.202     brouard  2023:          fprintf(ficlog,"After xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   2024:          if(j % ncovmodel == 0){
1.191     brouard  2025:            printf("\n");
1.202     brouard  2026:            fprintf(ficlog,"\n");
                   2027:          }
1.191     brouard  2028:        }
                   2029: #endif
1.126     brouard  2030:        for (j=1;j<=n;j++) { 
1.181     brouard  2031:          xi[j][ibig]=xi[j][n]; /* Replace direction with biggest decrease by last direction n */
                   2032:          xi[j][n]=xit[j];      /* and this nth direction by the by the average p_0 p_n */
1.126     brouard  2033:        }
1.181     brouard  2034:        printf("Gaining to use new average direction of P0 P%d instead of biggest increase direction %d :\n",n,ibig);
                   2035:        fprintf(ficlog,"Gaining to use new average direction of P0 P%d instead of biggest increase direction %d :\n",n,ibig);
1.161     brouard  2036: 
1.126     brouard  2037: #ifdef DEBUG
1.164     brouard  2038:        printf("Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
                   2039:        fprintf(ficlog,"Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
1.126     brouard  2040:        for(j=1;j<=n;j++){
                   2041:          printf(" %.12e",xit[j]);
                   2042:          fprintf(ficlog," %.12e",xit[j]);
                   2043:        }
                   2044:        printf("\n");
                   2045:        fprintf(ficlog,"\n");
                   2046: #endif
1.192     brouard  2047:       } /* end of t or directest negative */
                   2048: #ifdef POWELLF1F3
                   2049: #else
1.162     brouard  2050:     } /* end if (fptt < fp)  */
1.192     brouard  2051: #endif
                   2052:   } /* loop iteration */ 
1.126     brouard  2053: } 
                   2054: 
                   2055: /**** Prevalence limit (stable or period prevalence)  ****************/
                   2056: 
1.203     brouard  2057: double **prevalim(double **prlim, int nlstate, double x[], double age, double **oldm, double **savm, double ftolpl, int *ncvyear, int ij)
1.126     brouard  2058: {
1.218   ! brouard  2059:   /* Computes the prevalence limit in each live state at age x and for covariate ij by left multiplying the unit
1.203     brouard  2060:      matrix by transitions matrix until convergence is reached with precision ftolpl */
1.206     brouard  2061:   /* Wx= Wx-1 Px-1= Wx-2 Px-2 Px-1  = Wx-n Px-n ... Px-2 Px-1 I */
                   2062:   /* Wx is row vector: population in state 1, population in state 2, population dead */
                   2063:   /* or prevalence in state 1, prevalence in state 2, 0 */
                   2064:   /* newm is the matrix after multiplications, its rows are identical at a factor */
                   2065:   /* Initial matrix pimij */
                   2066:   /* {0.85204250825084937, 0.13044499163996345, 0.017512500109187184, */
                   2067:   /* 0.090851990222114765, 0.88271245433047185, 0.026435555447413338, */
                   2068:   /*  0,                   0                  , 1} */
                   2069:   /*
                   2070:    * and after some iteration: */
                   2071:   /* {0.45504275246439968, 0.42731458730878791, 0.11764266022681241, */
                   2072:   /*  0.45201005341706885, 0.42865420071559901, 0.11933574586733192, */
                   2073:   /*  0,                   0                  , 1} */
                   2074:   /* And prevalence by suppressing the deaths are close to identical rows in prlim: */
                   2075:   /* {0.51571254859325999, 0.4842874514067399, */
                   2076:   /*  0.51326036147820708, 0.48673963852179264} */
                   2077:   /* If we start from prlim again, prlim tends to a constant matrix */
                   2078: 
1.126     brouard  2079:   int i, ii,j,k;
1.209     brouard  2080:   double *min, *max, *meandiff, maxmax,sumnew=0.;
1.145     brouard  2081:   /* double **matprod2(); */ /* test */
1.218   ! brouard  2082:   double **out, cov[NCOVMAX+1], **pmij(); /* **pmmij is a global variable feeded with oldms etc */
1.126     brouard  2083:   double **newm;
1.209     brouard  2084:   double agefin, delaymax=200. ; /* 100 Max number of years to converge */
1.203     brouard  2085:   int ncvloop=0;
1.169     brouard  2086:   
1.209     brouard  2087:   min=vector(1,nlstate);
                   2088:   max=vector(1,nlstate);
                   2089:   meandiff=vector(1,nlstate);
                   2090: 
1.218   ! brouard  2091:        /* Starting with matrix unity */
1.126     brouard  2092:   for (ii=1;ii<=nlstate+ndeath;ii++)
                   2093:     for (j=1;j<=nlstate+ndeath;j++){
                   2094:       oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2095:     }
1.169     brouard  2096:   
                   2097:   cov[1]=1.;
                   2098:   
                   2099:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
1.202     brouard  2100:   /* Start at agefin= age, computes the matrix of passage and loops decreasing agefin until convergence is reached */
1.126     brouard  2101:   for(agefin=age-stepm/YEARM; agefin>=age-delaymax; agefin=agefin-stepm/YEARM){
1.202     brouard  2102:     ncvloop++;
1.126     brouard  2103:     newm=savm;
                   2104:     /* Covariates have to be included here again */
1.138     brouard  2105:     cov[2]=agefin;
1.187     brouard  2106:     if(nagesqr==1)
                   2107:       cov[3]= agefin*agefin;;
1.138     brouard  2108:     for (k=1; k<=cptcovn;k++) {
1.200     brouard  2109:       /* cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
1.218   ! brouard  2110:                        /* Here comes the value of the covariate 'ij' */
1.200     brouard  2111:       cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)];
1.198     brouard  2112:       /* printf("prevalim ij=%d k=%d Tvar[%d]=%d nbcode=%d cov=%lf codtabm(%d,Tvar[%d])=%d \n",ij,k, k, Tvar[k],nbcode[Tvar[k]][codtabm(ij,Tvar[k])],cov[2+k], ij, k, codtabm(ij,Tvar[k])]); */
1.138     brouard  2113:     }
1.186     brouard  2114:     /*wrong? for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
1.200     brouard  2115:     /* for (k=1; k<=cptcovage;k++) cov[2+nagesqr+Tage[k]]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]*cov[2]; */
                   2116:     for (k=1; k<=cptcovage;k++) cov[2+nagesqr+Tage[k]]=nbcode[Tvar[k]][codtabm(ij,k)]*cov[2];
1.186     brouard  2117:     for (k=1; k<=cptcovprod;k++) /* Useless */
1.200     brouard  2118:       /* cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,Tvard[k][1])] * nbcode[Tvard[k][2]][codtabm(ij,Tvard[k][2])]; */
                   2119:       cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * nbcode[Tvard[k][2]][codtabm(ij,k)];
1.138     brouard  2120:     
                   2121:     /*printf("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/
                   2122:     /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/
                   2123:     /*printf("ij=%d cov[3]=%lf \n",ij, cov[3]);*/
1.145     brouard  2124:     /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
                   2125:     /* out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /\* Bug Valgrind *\/ */
1.218   ! brouard  2126:                /* age and covariate values of ij are in 'cov' */
1.142     brouard  2127:     out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /* Bug Valgrind */
1.138     brouard  2128:     
1.126     brouard  2129:     savm=oldm;
                   2130:     oldm=newm;
1.209     brouard  2131: 
                   2132:     for(j=1; j<=nlstate; j++){
                   2133:       max[j]=0.;
                   2134:       min[j]=1.;
                   2135:     }
                   2136:     for(i=1;i<=nlstate;i++){
                   2137:       sumnew=0;
                   2138:       for(k=1; k<=ndeath; k++) sumnew+=newm[i][nlstate+k];
                   2139:       for(j=1; j<=nlstate; j++){ 
                   2140:        prlim[i][j]= newm[i][j]/(1-sumnew);
                   2141:        max[j]=FMAX(max[j],prlim[i][j]);
                   2142:        min[j]=FMIN(min[j],prlim[i][j]);
                   2143:       }
                   2144:     }
                   2145: 
1.126     brouard  2146:     maxmax=0.;
1.209     brouard  2147:     for(j=1; j<=nlstate; j++){
                   2148:       meandiff[j]=(max[j]-min[j])/(max[j]+min[j])*2.; /* mean difference for each column */
                   2149:       maxmax=FMAX(maxmax,meandiff[j]);
                   2150:       /* printf(" age= %d meandiff[%d]=%f, agefin=%d max[%d]=%f min[%d]=%f maxmax=%f\n", (int)age, j, meandiff[j],(int)agefin, j, max[j], j, min[j],maxmax); */
1.169     brouard  2151:     } /* j loop */
1.203     brouard  2152:     *ncvyear= (int)age- (int)agefin;
1.208     brouard  2153:     /* printf("maxmax=%lf maxmin=%lf ncvloop=%d, age=%d, agefin=%d ncvyear=%d \n", maxmax, maxmin, ncvloop, (int)age, (int)agefin, *ncvyear); */
1.126     brouard  2154:     if(maxmax < ftolpl){
1.209     brouard  2155:       /* printf("maxmax=%lf ncvloop=%ld, age=%d, agefin=%d ncvyear=%d \n", maxmax, ncvloop, (int)age, (int)agefin, *ncvyear); */
                   2156:       free_vector(min,1,nlstate);
                   2157:       free_vector(max,1,nlstate);
                   2158:       free_vector(meandiff,1,nlstate);
1.126     brouard  2159:       return prlim;
                   2160:     }
1.169     brouard  2161:   } /* age loop */
1.208     brouard  2162:     /* After some age loop it doesn't converge */
1.209     brouard  2163:   printf("Warning: the stable prevalence at age %d did not converge with the required precision (%g > ftolpl=%g) within %.0f years. Try to lower 'ftolpl'. \n\
1.208     brouard  2164: Earliest age to start was %d-%d=%d, ncvloop=%d, ncvyear=%d\n", (int)age, maxmax, ftolpl, delaymax, (int)age, (int)delaymax, (int)agefin, ncvloop, *ncvyear);
1.209     brouard  2165:   /* Try to lower 'ftol', for example from 1.e-8 to 6.e-9.\n", ftolpl, (int)age, (int)delaymax, (int)agefin, ncvloop, (int)age-(int)agefin); */
                   2166:   free_vector(min,1,nlstate);
                   2167:   free_vector(max,1,nlstate);
                   2168:   free_vector(meandiff,1,nlstate);
1.208     brouard  2169:   
1.169     brouard  2170:   return prlim; /* should not reach here */
1.126     brouard  2171: }
                   2172: 
1.217     brouard  2173: 
                   2174:  /**** Back Prevalence limit (stable or period prevalence)  ****************/
                   2175: 
1.218   ! brouard  2176:  /* double **bprevalim(double **bprlim, double ***prevacurrent, int nlstate, double x[], double age, double ageminpar, double agemaxpar, double **oldm, double **savm, double **dnewm, double **doldm, double **dsavm, double ftolpl, int *ncvyear, int ij) */
        !          2177:  /* double **bprevalim(double **bprlim, double ***prevacurrent, int nlstate, double x[], double age, double **oldm, double **savm, double **dnewm, double **doldm, double **dsavm, double ftolpl, int *ncvyear, int ij) */
        !          2178:  double **bprevalim(double **bprlim, double ***prevacurrent, int nlstate, double x[], double age, double ftolpl, int *ncvyear, int ij)
1.217     brouard  2179: {
1.218   ! brouard  2180:   /* Computes the prevalence limit in each live state at age x and covariate ij by left multiplying the unit
1.217     brouard  2181:      matrix by transitions matrix until convergence is reached with precision ftolpl */
                   2182:   /* Wx= Wx-1 Px-1= Wx-2 Px-2 Px-1  = Wx-n Px-n ... Px-2 Px-1 I */
                   2183:   /* Wx is row vector: population in state 1, population in state 2, population dead */
                   2184:   /* or prevalence in state 1, prevalence in state 2, 0 */
                   2185:   /* newm is the matrix after multiplications, its rows are identical at a factor */
                   2186:   /* Initial matrix pimij */
                   2187:   /* {0.85204250825084937, 0.13044499163996345, 0.017512500109187184, */
                   2188:   /* 0.090851990222114765, 0.88271245433047185, 0.026435555447413338, */
                   2189:   /*  0,                   0                  , 1} */
                   2190:   /*
                   2191:    * and after some iteration: */
                   2192:   /* {0.45504275246439968, 0.42731458730878791, 0.11764266022681241, */
                   2193:   /*  0.45201005341706885, 0.42865420071559901, 0.11933574586733192, */
                   2194:   /*  0,                   0                  , 1} */
                   2195:   /* And prevalence by suppressing the deaths are close to identical rows in prlim: */
                   2196:   /* {0.51571254859325999, 0.4842874514067399, */
                   2197:   /*  0.51326036147820708, 0.48673963852179264} */
                   2198:   /* If we start from prlim again, prlim tends to a constant matrix */
                   2199: 
                   2200:   int i, ii,j,k;
                   2201:   double *min, *max, *meandiff, maxmax,sumnew=0.;
                   2202:   /* double **matprod2(); */ /* test */
                   2203:   double **out, cov[NCOVMAX+1], **bmij();
                   2204:   double **newm;
1.218   ! brouard  2205:   double        **dnewm, **doldm, **dsavm;  /* for use */
        !          2206:   double        **oldm, **savm;  /* for use */
        !          2207: 
1.217     brouard  2208:   double agefin, delaymax=200. ; /* 100 Max number of years to converge */
                   2209:   int ncvloop=0;
                   2210:   
                   2211:   min=vector(1,nlstate);
                   2212:   max=vector(1,nlstate);
                   2213:   meandiff=vector(1,nlstate);
                   2214: 
1.218   ! brouard  2215:        dnewm=ddnewms; doldm=ddoldms; dsavm=ddsavms;
        !          2216:        oldm=oldms; savm=savms;
        !          2217: 
        !          2218:        /* Starting with matrix unity */
        !          2219:        for (ii=1;ii<=nlstate+ndeath;ii++)
        !          2220:                for (j=1;j<=nlstate+ndeath;j++){
1.217     brouard  2221:       oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2222:     }
                   2223:   
                   2224:   cov[1]=1.;
                   2225:   
                   2226:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
                   2227:   /* Start at agefin= age, computes the matrix of passage and loops decreasing agefin until convergence is reached */
1.218   ! brouard  2228:   /* for(agefin=age+stepm/YEARM; agefin<=age+delaymax; agefin=agefin+stepm/YEARM){ /\* A changer en age *\/ */
        !          2229:   for(agefin=age; agefin<AGESUP; agefin=agefin+stepm/YEARM){ /* A changer en age */
1.217     brouard  2230:     ncvloop++;
1.218   ! brouard  2231:     newm=savm; /* oldm should be kept from previous iteration or unity at start */
        !          2232:                /* newm points to the allocated table savm passed by the function it can be written, savm could be reallocated */
1.217     brouard  2233:     /* Covariates have to be included here again */
                   2234:     cov[2]=agefin;
                   2235:     if(nagesqr==1)
                   2236:       cov[3]= agefin*agefin;;
                   2237:     for (k=1; k<=cptcovn;k++) {
                   2238:       /* cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
                   2239:       cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)];
                   2240:       /* printf("prevalim ij=%d k=%d Tvar[%d]=%d nbcode=%d cov=%lf codtabm(%d,Tvar[%d])=%d \n",ij,k, k, Tvar[k],nbcode[Tvar[k]][codtabm(ij,Tvar[k])],cov[2+k], ij, k, codtabm(ij,Tvar[k])]); */
                   2241:     }
                   2242:     /*wrong? for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
                   2243:     /* for (k=1; k<=cptcovage;k++) cov[2+nagesqr+Tage[k]]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]*cov[2]; */
                   2244:     for (k=1; k<=cptcovage;k++) cov[2+nagesqr+Tage[k]]=nbcode[Tvar[k]][codtabm(ij,k)]*cov[2];
                   2245:     for (k=1; k<=cptcovprod;k++) /* Useless */
                   2246:       /* cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,Tvard[k][1])] * nbcode[Tvard[k][2]][codtabm(ij,Tvard[k][2])]; */
                   2247:       cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * nbcode[Tvard[k][2]][codtabm(ij,k)];
                   2248:     
                   2249:     /*printf("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/
                   2250:     /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/
                   2251:     /*printf("ij=%d cov[3]=%lf \n",ij, cov[3]);*/
                   2252:     /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
                   2253:     /* out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /\* Bug Valgrind *\/ */
1.218   ! brouard  2254:                /* ij should be linked to the correct index of cov */
        !          2255:                /* age and covariate values ij are in 'cov', but we need to pass
        !          2256:                 * ij for the observed prevalence at age and status and covariate
        !          2257:                 * number:  prevacurrent[(int)agefin][ii][ij]
        !          2258:                 */
        !          2259:     /* out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent, ageminpar, agemaxpar, dnewm, doldm, dsavm,ij)); /\* Bug Valgrind *\/ */
        !          2260:     /* out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent, dnewm, doldm, dsavm,ij)); /\* Bug Valgrind *\/ */
        !          2261:     out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent,ij)); /* Bug Valgrind */
1.217     brouard  2262:     savm=oldm;
                   2263:     oldm=newm;
                   2264:     for(j=1; j<=nlstate; j++){
                   2265:       max[j]=0.;
                   2266:       min[j]=1.;
                   2267:     }
                   2268:     for(j=1; j<=nlstate; j++){ 
                   2269:       for(i=1;i<=nlstate;i++){
1.218   ! brouard  2270:                                /* bprlim[i][j]= newm[i][j]/(1-sumnew); */
        !          2271:                                bprlim[i][j]= newm[i][j];
        !          2272:                                max[i]=FMAX(max[i],bprlim[i][j]); /* Max in line */
        !          2273:                                min[i]=FMIN(min[i],bprlim[i][j]);
1.217     brouard  2274:       }
                   2275:     }
1.218   ! brouard  2276:                
1.217     brouard  2277:     maxmax=0.;
                   2278:     for(i=1; i<=nlstate; i++){
                   2279:       meandiff[i]=(max[i]-min[i])/(max[i]+min[i])*2.; /* mean difference for each column */
                   2280:       maxmax=FMAX(maxmax,meandiff[i]);
                   2281:       /* printf("Back age= %d meandiff[%d]=%f, agefin=%d max[%d]=%f min[%d]=%f maxmax=%f\n", (int)age, i, meandiff[i],(int)agefin, i, max[i], i, min[i],maxmax); */
                   2282:     } /* j loop */
                   2283:     *ncvyear= -( (int)age- (int)agefin);
1.218   ! brouard  2284:     /* printf("Back maxmax=%lf ncvloop=%d, age=%d, agefin=%d ncvyear=%d \n", maxmax, ncvloop, (int)age, (int)agefin, *ncvyear);*/
1.217     brouard  2285:     if(maxmax < ftolpl){
                   2286:       printf("OK Back maxmax=%lf ncvloop=%d, age=%d, agefin=%d ncvyear=%d \n", maxmax, ncvloop, (int)age, (int)agefin, *ncvyear);
                   2287:       free_vector(min,1,nlstate);
                   2288:       free_vector(max,1,nlstate);
                   2289:       free_vector(meandiff,1,nlstate);
                   2290:       return bprlim;
                   2291:     }
                   2292:   } /* age loop */
                   2293:     /* After some age loop it doesn't converge */
                   2294:   printf("Warning: the back stable prevalence at age %d did not converge with the required precision (%g > ftolpl=%g) within %.0f years. Try to lower 'ftolpl'. \n\
                   2295: Oldest age to start was %d-%d=%d, ncvloop=%d, ncvyear=%d\n", (int)age, maxmax, ftolpl, delaymax, (int)age, (int)delaymax, (int)agefin, ncvloop, *ncvyear);
                   2296:   /* Try to lower 'ftol', for example from 1.e-8 to 6.e-9.\n", ftolpl, (int)age, (int)delaymax, (int)agefin, ncvloop, (int)age-(int)agefin); */
                   2297:   free_vector(min,1,nlstate);
                   2298:   free_vector(max,1,nlstate);
                   2299:   free_vector(meandiff,1,nlstate);
                   2300:   
                   2301:   return bprlim; /* should not reach here */
                   2302: }
                   2303: 
1.126     brouard  2304: /*************** transition probabilities ***************/ 
                   2305: 
                   2306: double **pmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )
                   2307: {
1.138     brouard  2308:   /* According to parameters values stored in x and the covariate's values stored in cov,
                   2309:      computes the probability to be observed in state j being in state i by appying the
                   2310:      model to the ncovmodel covariates (including constant and age).
                   2311:      lnpijopii=ln(pij/pii)= aij+bij*age+cij*v1+dij*v2+... = sum_nc=1^ncovmodel xij(nc)*cov[nc]
                   2312:      and, according on how parameters are entered, the position of the coefficient xij(nc) of the
                   2313:      ncth covariate in the global vector x is given by the formula:
                   2314:      j<i nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel
                   2315:      j>=i nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel
                   2316:      Computes ln(pij/pii) (lnpijopii), deduces pij/pii by exponentiation,
                   2317:      sums on j different of i to get 1-pii/pii, deduces pii, and then all pij.
                   2318:      Outputs ps[i][j] the probability to be observed in j being in j according to
                   2319:      the values of the covariates cov[nc] and corresponding parameter values x[nc+shiftij]
                   2320:   */
                   2321:   double s1, lnpijopii;
1.126     brouard  2322:   /*double t34;*/
1.164     brouard  2323:   int i,j, nc, ii, jj;
1.126     brouard  2324: 
1.218   ! brouard  2325:        for(i=1; i<= nlstate; i++){
        !          2326:                for(j=1; j<i;j++){
        !          2327:                        for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
        !          2328:                                /*lnpijopii += param[i][j][nc]*cov[nc];*/
        !          2329:                                lnpijopii += x[nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel]*cov[nc];
        !          2330:                                /*       printf("Int j<i s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
        !          2331:                        }
        !          2332:                        ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
        !          2333:                        /*      printf("s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
        !          2334:                }
        !          2335:                for(j=i+1; j<=nlstate+ndeath;j++){
        !          2336:                        for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
        !          2337:                                /*lnpijopii += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];*/
        !          2338:                                lnpijopii += x[nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel]*cov[nc];
        !          2339:                                /*        printf("Int j>i s1=%.17e, lnpijopii=%.17e %lx %lx\n",s1,lnpijopii,s1,lnpijopii); */
        !          2340:                        }
        !          2341:                        ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
        !          2342:                }
        !          2343:        }
        !          2344:   
        !          2345:        for(i=1; i<= nlstate; i++){
        !          2346:                s1=0;
        !          2347:                for(j=1; j<i; j++){
        !          2348:                        s1+=exp(ps[i][j]); /* In fact sums pij/pii */
        !          2349:                        /*printf("debug1 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
        !          2350:                }
        !          2351:                for(j=i+1; j<=nlstate+ndeath; j++){
        !          2352:                        s1+=exp(ps[i][j]); /* In fact sums pij/pii */
        !          2353:                        /*printf("debug2 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
        !          2354:                }
        !          2355:                /* s1= sum_{j<>i} pij/pii=(1-pii)/pii and thus pii is known from s1 */
        !          2356:                ps[i][i]=1./(s1+1.);
        !          2357:                /* Computing other pijs */
        !          2358:                for(j=1; j<i; j++)
        !          2359:                        ps[i][j]= exp(ps[i][j])*ps[i][i];
        !          2360:                for(j=i+1; j<=nlstate+ndeath; j++)
        !          2361:                        ps[i][j]= exp(ps[i][j])*ps[i][i];
        !          2362:                /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */
        !          2363:        } /* end i */
        !          2364:   
        !          2365:        for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){
        !          2366:                for(jj=1; jj<= nlstate+ndeath; jj++){
        !          2367:                        ps[ii][jj]=0;
        !          2368:                        ps[ii][ii]=1;
        !          2369:                }
        !          2370:        }
        !          2371:   
        !          2372:   
        !          2373:        /* for(ii=1; ii<= nlstate+ndeath; ii++){ */
        !          2374:        /*   for(jj=1; jj<= nlstate+ndeath; jj++){ */
        !          2375:        /*      printf(" pmij  ps[%d][%d]=%lf ",ii,jj,ps[ii][jj]); */
        !          2376:        /*   } */
        !          2377:        /*   printf("\n "); */
        !          2378:        /* } */
        !          2379:        /* printf("\n ");printf("%lf ",cov[2]);*/
        !          2380:        /*
        !          2381:                for(i=1; i<= npar; i++) printf("%f ",x[i]);
        !          2382:                goto end;*/
        !          2383:        return ps;
1.126     brouard  2384: }
                   2385: 
1.218   ! brouard  2386: /*************** backward transition probabilities ***************/ 
        !          2387: 
        !          2388:  /* double **bmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate,  double ***prevacurrent, double ageminpar, double agemaxpar, double ***dnewm, double **doldm, double **dsavm, int ij ) */
        !          2389: /* double **bmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate,  double ***prevacurrent, double ***dnewm, double **doldm, double **dsavm, int ij ) */
        !          2390:  double **bmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate,  double ***prevacurrent, int ij )
        !          2391: {
        !          2392:        /* Computes the backward probability at age agefin and covariate ij
        !          2393:         * and returns in **ps as well as **bmij.
        !          2394:         */
        !          2395:   int i, ii, j,k;
        !          2396: 
        !          2397:        double **out, **pmij();
        !          2398:        double sumnew=0.;
        !          2399:   double agefin;
        !          2400: 
        !          2401:        double **dnewm, **dsavm, **doldm;
        !          2402:        double **bbmij;
        !          2403: 
        !          2404:   doldm=ddoldms; /* global pointers */
        !          2405:        dnewm=ddnewms;
        !          2406:        dsavm=ddsavms;
        !          2407: 
        !          2408:        agefin=cov[2];
        !          2409:        /* bmij *//* age is cov[2], ij is included in cov, but we need for
        !          2410:                 the observed prevalence (with this covariate ij) */
        !          2411:        dsavm=pmij(pmmij,cov,ncovmodel,x,nlstate);
        !          2412:        /* We do have the matrix Px in savm  and we need pij */
        !          2413:        for (j=1;j<=nlstate+ndeath;j++){
        !          2414:                sumnew=0.; /* w1 p11 + w2 p21 only on live states */
        !          2415:                for (ii=1;ii<=nlstate;ii++){
        !          2416:                        sumnew+=dsavm[ii][j]*prevacurrent[(int)agefin][ii][ij];
        !          2417:                } /* sumnew is (N11+N21)/N..= N.1/N.. = sum on i of w_i pij */
        !          2418:                for (ii=1;ii<=nlstate+ndeath;ii++){
        !          2419:                        if(sumnew >= 1.e-10){
        !          2420:                                /* if(agefin >= agemaxpar && agefin <= agemaxpar+stepm/YEARM){ */
        !          2421:                                /*      doldm[ii][j]=(ii==j ? 1./sumnew : 0.0); */
        !          2422:                                /* }else if(agefin >= agemaxpar+stepm/YEARM){ */
        !          2423:                                /*      doldm[ii][j]=(ii==j ? 1./sumnew : 0.0); */
        !          2424:                                /* }else */
        !          2425:                                        doldm[ii][j]=(ii==j ? 1./sumnew : 0.0);
        !          2426:                        }else{
        !          2427:                                printf("ii=%d, i=%d, doldm=%lf dsavm=%lf, probs=%lf, sumnew=%lf,agefin=%d\n",ii,j,doldm[ii][j],dsavm[ii][j],prevacurrent[(int)agefin][ii][ij],sumnew, (int)agefin);
        !          2428:                        }
        !          2429:                } /*End ii */
        !          2430:        } /* End j, At the end doldm is diag[1/(w_1p1i+w_2 p2i)] */
        !          2431:                /* left Product of this diag matrix by dsavm=Px (newm=dsavm*doldm) */
        !          2432:        bbmij=matprod2(dnewm, dsavm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, doldm); /* Bug Valgrind */
        !          2433:        /* dsavm=doldm; /\* dsavm is now diag [1/(w_1p1i+w_2 p2i)] but can be overwritten*\/ */
        !          2434:        /* doldm=dnewm; /\* doldm is now Px * diag [1/(w_1p1i+w_2 p2i)] *\/ */
        !          2435:        /* dnewm=dsavm; /\* doldm is now Px * diag [1/(w_1p1i+w_2 p2i)] *\/ */
        !          2436:        /* left Product of this matrix by diag matrix of prevalences (savm) */
        !          2437:        for (j=1;j<=nlstate+ndeath;j++){
        !          2438:                for (ii=1;ii<=nlstate+ndeath;ii++){
        !          2439:                        dsavm[ii][j]=(ii==j ? prevacurrent[(int)agefin][ii][ij] : 0.0);
        !          2440:                }
        !          2441:        } /* End j, At the end oldm is diag[1/(w_1p1i+w_2 p2i)] */
        !          2442:        ps=matprod2(doldm, dsavm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, dnewm); /* Bug Valgrind */
        !          2443:        /* newm or out is now diag[w_i] * Px * diag [1/(w_1p1i+w_2 p2i)] */
        !          2444:        /* end bmij */
        !          2445:        return ps; 
        !          2446: }
1.217     brouard  2447: /*************** transition probabilities ***************/ 
                   2448: 
1.218   ! brouard  2449: double **bpmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )
1.217     brouard  2450: {
                   2451:   /* According to parameters values stored in x and the covariate's values stored in cov,
                   2452:      computes the probability to be observed in state j being in state i by appying the
                   2453:      model to the ncovmodel covariates (including constant and age).
                   2454:      lnpijopii=ln(pij/pii)= aij+bij*age+cij*v1+dij*v2+... = sum_nc=1^ncovmodel xij(nc)*cov[nc]
                   2455:      and, according on how parameters are entered, the position of the coefficient xij(nc) of the
                   2456:      ncth covariate in the global vector x is given by the formula:
                   2457:      j<i nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel
                   2458:      j>=i nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel
                   2459:      Computes ln(pij/pii) (lnpijopii), deduces pij/pii by exponentiation,
                   2460:      sums on j different of i to get 1-pii/pii, deduces pii, and then all pij.
                   2461:      Outputs ps[i][j] the probability to be observed in j being in j according to
                   2462:      the values of the covariates cov[nc] and corresponding parameter values x[nc+shiftij]
                   2463:   */
                   2464:   double s1, lnpijopii;
                   2465:   /*double t34;*/
                   2466:   int i,j, nc, ii, jj;
                   2467: 
1.218   ! brouard  2468:        for(i=1; i<= nlstate; i++){
        !          2469:                for(j=1; j<i;j++){
        !          2470:                        for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
        !          2471:                                /*lnpijopii += param[i][j][nc]*cov[nc];*/
        !          2472:                                lnpijopii += x[nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel]*cov[nc];
        !          2473:                                /*       printf("Int j<i s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
        !          2474:                        }
        !          2475:                        ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
        !          2476:                        /*      printf("s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
        !          2477:                }
        !          2478:                for(j=i+1; j<=nlstate+ndeath;j++){
        !          2479:                        for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
        !          2480:                                /*lnpijopii += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];*/
        !          2481:                                lnpijopii += x[nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel]*cov[nc];
        !          2482:                                /*        printf("Int j>i s1=%.17e, lnpijopii=%.17e %lx %lx\n",s1,lnpijopii,s1,lnpijopii); */
        !          2483:                        }
        !          2484:                        ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
        !          2485:                }
        !          2486:        }
        !          2487:        
        !          2488:        for(i=1; i<= nlstate; i++){
        !          2489:                s1=0;
        !          2490:                for(j=1; j<i; j++){
        !          2491:                        s1+=exp(ps[i][j]); /* In fact sums pij/pii */
        !          2492:                        /*printf("debug1 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
        !          2493:                }
        !          2494:                for(j=i+1; j<=nlstate+ndeath; j++){
        !          2495:                        s1+=exp(ps[i][j]); /* In fact sums pij/pii */
        !          2496:                        /*printf("debug2 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
        !          2497:                }
        !          2498:                /* s1= sum_{j<>i} pij/pii=(1-pii)/pii and thus pii is known from s1 */
        !          2499:                ps[i][i]=1./(s1+1.);
        !          2500:                /* Computing other pijs */
        !          2501:                for(j=1; j<i; j++)
        !          2502:                        ps[i][j]= exp(ps[i][j])*ps[i][i];
        !          2503:                for(j=i+1; j<=nlstate+ndeath; j++)
        !          2504:                        ps[i][j]= exp(ps[i][j])*ps[i][i];
        !          2505:                /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */
        !          2506:        } /* end i */
        !          2507:        
        !          2508:        for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){
        !          2509:                for(jj=1; jj<= nlstate+ndeath; jj++){
        !          2510:                        ps[ii][jj]=0;
        !          2511:                        ps[ii][ii]=1;
        !          2512:                }
        !          2513:        }
        !          2514:        /* Added for backcast */ /* Transposed matrix too */
        !          2515:        for(jj=1; jj<= nlstate+ndeath; jj++){
        !          2516:                s1=0.;
        !          2517:                for(ii=1; ii<= nlstate+ndeath; ii++){
        !          2518:                        s1+=ps[ii][jj];
        !          2519:                }
        !          2520:                for(ii=1; ii<= nlstate; ii++){
        !          2521:                        ps[ii][jj]=ps[ii][jj]/s1;
        !          2522:                }
        !          2523:        }
        !          2524:        /* Transposition */
        !          2525:        for(jj=1; jj<= nlstate+ndeath; jj++){
        !          2526:                for(ii=jj; ii<= nlstate+ndeath; ii++){
        !          2527:                        s1=ps[ii][jj];
        !          2528:                        ps[ii][jj]=ps[jj][ii];
        !          2529:                        ps[jj][ii]=s1;
        !          2530:                }
        !          2531:        }
        !          2532:        /* for(ii=1; ii<= nlstate+ndeath; ii++){ */
        !          2533:        /*   for(jj=1; jj<= nlstate+ndeath; jj++){ */
        !          2534:        /*      printf(" pmij  ps[%d][%d]=%lf ",ii,jj,ps[ii][jj]); */
        !          2535:        /*   } */
        !          2536:        /*   printf("\n "); */
        !          2537:        /* } */
        !          2538:        /* printf("\n ");printf("%lf ",cov[2]);*/
        !          2539:        /*
        !          2540:                for(i=1; i<= npar; i++) printf("%f ",x[i]);
        !          2541:                goto end;*/
        !          2542:        return ps;
1.217     brouard  2543: }
                   2544: 
                   2545: 
1.126     brouard  2546: /**************** Product of 2 matrices ******************/
                   2547: 
1.145     brouard  2548: double **matprod2(double **out, double **in,int nrl, int nrh, int ncl, int nch, int ncolol, int ncoloh, double **b)
1.126     brouard  2549: {
                   2550:   /* Computes the matrix product of in(1,nrh-nrl+1)(1,nch-ncl+1) times
                   2551:      b(1,nch-ncl+1)(1,ncoloh-ncolol+1) into out(...) */
                   2552:   /* in, b, out are matrice of pointers which should have been initialized 
                   2553:      before: only the contents of out is modified. The function returns
                   2554:      a pointer to pointers identical to out */
1.145     brouard  2555:   int i, j, k;
1.126     brouard  2556:   for(i=nrl; i<= nrh; i++)
1.145     brouard  2557:     for(k=ncolol; k<=ncoloh; k++){
                   2558:       out[i][k]=0.;
                   2559:       for(j=ncl; j<=nch; j++)
                   2560:        out[i][k] +=in[i][j]*b[j][k];
                   2561:     }
1.126     brouard  2562:   return out;
                   2563: }
                   2564: 
                   2565: 
                   2566: /************* Higher Matrix Product ***************/
                   2567: 
                   2568: double ***hpxij(double ***po, int nhstepm, double age, int hstepm, double *x, int nlstate, int stepm, double **oldm, double **savm, int ij )
                   2569: {
1.218   ! brouard  2570:   /* Computes the transition matrix starting at age 'age' and combination of covariate values corresponding to ij over 
1.126     brouard  2571:      'nhstepm*hstepm*stepm' months (i.e. until
                   2572:      age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying 
                   2573:      nhstepm*hstepm matrices. 
                   2574:      Output is stored in matrix po[i][j][h] for h every 'hstepm' step 
                   2575:      (typically every 2 years instead of every month which is too big 
                   2576:      for the memory).
                   2577:      Model is determined by parameters x and covariates have to be 
                   2578:      included manually here. 
                   2579: 
                   2580:      */
                   2581: 
                   2582:   int i, j, d, h, k;
1.131     brouard  2583:   double **out, cov[NCOVMAX+1];
1.126     brouard  2584:   double **newm;
1.187     brouard  2585:   double agexact;
1.214     brouard  2586:   double agebegin, ageend;
1.126     brouard  2587: 
                   2588:   /* Hstepm could be zero and should return the unit matrix */
                   2589:   for (i=1;i<=nlstate+ndeath;i++)
                   2590:     for (j=1;j<=nlstate+ndeath;j++){
                   2591:       oldm[i][j]=(i==j ? 1.0 : 0.0);
                   2592:       po[i][j][0]=(i==j ? 1.0 : 0.0);
                   2593:     }
                   2594:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
                   2595:   for(h=1; h <=nhstepm; h++){
                   2596:     for(d=1; d <=hstepm; d++){
                   2597:       newm=savm;
                   2598:       /* Covariates have to be included here again */
                   2599:       cov[1]=1.;
1.214     brouard  2600:       agexact=age+((h-1)*hstepm + (d-1))*stepm/YEARM; /* age just before transition */
1.187     brouard  2601:       cov[2]=agexact;
                   2602:       if(nagesqr==1)
1.218   ! brouard  2603:                                cov[3]= agexact*agexact;
1.131     brouard  2604:       for (k=1; k<=cptcovn;k++) 
1.218   ! brouard  2605:                                cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)];
        !          2606:                        /* cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
1.186     brouard  2607:       for (k=1; k<=cptcovage;k++) /* Should start at cptcovn+1 */
1.218   ! brouard  2608:                                /* cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
        !          2609:                                cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
        !          2610:                        /* cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,Tvar[Tage[k]])]*cov[2]; */
1.145     brouard  2611:       for (k=1; k<=cptcovprod;k++) /* Useless because included in cptcovn */
1.218   ! brouard  2612:                                cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)]*nbcode[Tvard[k][2]][codtabm(ij,k)];
        !          2613:                        /* cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,Tvard[k][1])]*nbcode[Tvard[k][2]][codtabm(ij,Tvard[k][2])]; */
1.126     brouard  2614: 
                   2615: 
                   2616:       /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/
                   2617:       /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/
1.218   ! brouard  2618:                        /* right multiplication of oldm by the current matrix */
1.126     brouard  2619:       out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, 
                   2620:                   pmij(pmmij,cov,ncovmodel,x,nlstate));
1.217     brouard  2621:       /* if((int)age == 70){ */
                   2622:       /*       printf(" Forward hpxij age=%d agexact=%f d=%d nhstepm=%d hstepm=%d\n", (int) age, agexact, d, nhstepm, hstepm); */
                   2623:       /*       for(i=1; i<=nlstate+ndeath; i++) { */
                   2624:       /*         printf("%d pmmij ",i); */
                   2625:       /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   2626:       /*           printf("%f ",pmmij[i][j]); */
                   2627:       /*         } */
                   2628:       /*         printf(" oldm "); */
                   2629:       /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   2630:       /*           printf("%f ",oldm[i][j]); */
                   2631:       /*         } */
                   2632:       /*         printf("\n"); */
                   2633:       /*       } */
                   2634:       /* } */
1.126     brouard  2635:       savm=oldm;
                   2636:       oldm=newm;
                   2637:     }
                   2638:     for(i=1; i<=nlstate+ndeath; i++)
                   2639:       for(j=1;j<=nlstate+ndeath;j++) {
1.218   ! brouard  2640:                                po[i][j][h]=newm[i][j];
        !          2641:                                /*if(h==nhstepm) printf("po[%d][%d][%d]=%f ",i,j,h,po[i][j][h]);*/
1.126     brouard  2642:       }
1.128     brouard  2643:     /*printf("h=%d ",h);*/
1.126     brouard  2644:   } /* end h */
1.218   ! brouard  2645:        /*     printf("\n H=%d \n",h); */
1.126     brouard  2646:   return po;
                   2647: }
                   2648: 
1.217     brouard  2649: /************* Higher Back Matrix Product ***************/
1.218   ! brouard  2650: /* double ***hbxij(double ***po, int nhstepm, double age, int hstepm, double *x, double ***prevacurrent, int nlstate, int stepm, double **oldm, double **savm, double **dnewm, double **doldm, double **dsavm, int ij ) */
        !          2651:  double ***hbxij(double ***po, int nhstepm, double age, int hstepm, double *x, double ***prevacurrent, int nlstate, int stepm, int ij )
1.217     brouard  2652: {
1.218   ! brouard  2653:   /* Computes the transition matrix starting at age 'age' over
1.217     brouard  2654:      'nhstepm*hstepm*stepm' months (i.e. until
1.218   ! brouard  2655:      age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying
        !          2656:      nhstepm*hstepm matrices.
        !          2657:      Output is stored in matrix po[i][j][h] for h every 'hstepm' step
        !          2658:      (typically every 2 years instead of every month which is too big
1.217     brouard  2659:      for the memory).
1.218   ! brouard  2660:      Model is determined by parameters x and covariates have to be
        !          2661:      included manually here.
1.217     brouard  2662: 
                   2663:      */
                   2664: 
                   2665:   int i, j, d, h, k;
                   2666:   double **out, cov[NCOVMAX+1];
                   2667:   double **newm;
                   2668:   double agexact;
                   2669:   double agebegin, ageend;
1.218   ! brouard  2670:        double **oldm, **savm;
1.217     brouard  2671: 
1.218   ! brouard  2672:        oldm=oldms;savm=savms;
1.217     brouard  2673:   /* Hstepm could be zero and should return the unit matrix */
                   2674:   for (i=1;i<=nlstate+ndeath;i++)
                   2675:     for (j=1;j<=nlstate+ndeath;j++){
                   2676:       oldm[i][j]=(i==j ? 1.0 : 0.0);
                   2677:       po[i][j][0]=(i==j ? 1.0 : 0.0);
                   2678:     }
                   2679:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
                   2680:   for(h=1; h <=nhstepm; h++){
                   2681:     for(d=1; d <=hstepm; d++){
                   2682:       newm=savm;
                   2683:       /* Covariates have to be included here again */
                   2684:       cov[1]=1.;
                   2685:       agexact=age-((h-1)*hstepm + (d-1))*stepm/YEARM; /* age just before transition */
                   2686:       /* agexact=age+((h-1)*hstepm + (d-1))*stepm/YEARM; /\* age just before transition *\/ */
                   2687:       cov[2]=agexact;
                   2688:       if(nagesqr==1)
1.218   ! brouard  2689:                                cov[3]= agexact*agexact;
        !          2690:       for (k=1; k<=cptcovn;k++)
        !          2691:                                cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)];
        !          2692:                        /* cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
1.217     brouard  2693:       for (k=1; k<=cptcovage;k++) /* Should start at cptcovn+1 */
1.218   ! brouard  2694:                                /* cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
        !          2695:                                cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
        !          2696:                        /* cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,Tvar[Tage[k]])]*cov[2]; */
1.217     brouard  2697:       for (k=1; k<=cptcovprod;k++) /* Useless because included in cptcovn */
1.218   ! brouard  2698:                                cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)]*nbcode[Tvard[k][2]][codtabm(ij,k)];
        !          2699:                        /* cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,Tvard[k][1])]*nbcode[Tvard[k][2]][codtabm(ij,Tvard[k][2])]; */
        !          2700:                        
        !          2701:                        
1.217     brouard  2702:       /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/
                   2703:       /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/
1.218   ! brouard  2704:       /* Careful transposed matrix */
        !          2705:                        /* age is in cov[2] */
        !          2706:       /* out=matprod2(newm, bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent, dnewm, doldm, dsavm,ij),\ */
        !          2707:                        /*                                               1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); */
        !          2708:       out=matprod2(newm, bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent,ij),\
        !          2709:                                                                         1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm);
1.217     brouard  2710:       /* if((int)age == 70){ */
                   2711:       /*       printf(" Backward hbxij age=%d agexact=%f d=%d nhstepm=%d hstepm=%d\n", (int) age, agexact, d, nhstepm, hstepm); */
                   2712:       /*       for(i=1; i<=nlstate+ndeath; i++) { */
                   2713:       /*         printf("%d pmmij ",i); */
                   2714:       /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   2715:       /*           printf("%f ",pmmij[i][j]); */
                   2716:       /*         } */
                   2717:       /*         printf(" oldm "); */
                   2718:       /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   2719:       /*           printf("%f ",oldm[i][j]); */
                   2720:       /*         } */
                   2721:       /*         printf("\n"); */
                   2722:       /*       } */
                   2723:       /* } */
                   2724:       savm=oldm;
                   2725:       oldm=newm;
                   2726:     }
                   2727:     for(i=1; i<=nlstate+ndeath; i++)
                   2728:       for(j=1;j<=nlstate+ndeath;j++) {
1.218   ! brouard  2729:                                po[i][j][h]=newm[i][j];
        !          2730:                                /*if(h==nhstepm) printf("po[%d][%d][%d]=%f ",i,j,h,po[i][j][h]);*/
1.217     brouard  2731:       }
                   2732:     /*printf("h=%d ",h);*/
                   2733:   } /* end h */
1.218   ! brouard  2734:        /*     printf("\n H=%d \n",h); */
1.217     brouard  2735:   return po;
                   2736: }
                   2737: 
                   2738: 
1.162     brouard  2739: #ifdef NLOPT
                   2740:   double  myfunc(unsigned n, const double *p1, double *grad, void *pd){
                   2741:   double fret;
                   2742:   double *xt;
                   2743:   int j;
                   2744:   myfunc_data *d2 = (myfunc_data *) pd;
                   2745: /* xt = (p1-1); */
                   2746:   xt=vector(1,n); 
                   2747:   for (j=1;j<=n;j++)   xt[j]=p1[j-1]; /* xt[1]=p1[0] */
                   2748: 
                   2749:   fret=(d2->function)(xt); /*  p xt[1]@8 is fine */
                   2750:   /* fret=(*func)(xt); /\*  p xt[1]@8 is fine *\/ */
                   2751:   printf("Function = %.12lf ",fret);
                   2752:   for (j=1;j<=n;j++) printf(" %d %.8lf", j, xt[j]); 
                   2753:   printf("\n");
                   2754:  free_vector(xt,1,n);
                   2755:   return fret;
                   2756: }
                   2757: #endif
1.126     brouard  2758: 
                   2759: /*************** log-likelihood *************/
                   2760: double func( double *x)
                   2761: {
                   2762:   int i, ii, j, k, mi, d, kk;
1.131     brouard  2763:   double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1];
1.126     brouard  2764:   double **out;
                   2765:   double sw; /* Sum of weights */
                   2766:   double lli; /* Individual log likelihood */
                   2767:   int s1, s2;
                   2768:   double bbh, survp;
                   2769:   long ipmx;
1.187     brouard  2770:   double agexact;
1.126     brouard  2771:   /*extern weight */
                   2772:   /* We are differentiating ll according to initial status */
                   2773:   /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
                   2774:   /*for(i=1;i<imx;i++) 
                   2775:     printf(" %d\n",s[4][i]);
                   2776:   */
1.162     brouard  2777: 
                   2778:   ++countcallfunc;
                   2779: 
1.126     brouard  2780:   cov[1]=1.;
                   2781: 
                   2782:   for(k=1; k<=nlstate; k++) ll[k]=0.;
                   2783: 
                   2784:   if(mle==1){
                   2785:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
1.138     brouard  2786:       /* Computes the values of the ncovmodel covariates of the model
                   2787:         depending if the covariates are fixed or variying (age dependent) and stores them in cov[]
                   2788:         Then computes with function pmij which return a matrix p[i][j] giving the elementary probability
                   2789:         to be observed in j being in i according to the model.
                   2790:        */
1.145     brouard  2791:       for (k=1; k<=cptcovn;k++){ /* Simple and product covariates without age* products */
1.187     brouard  2792:          cov[2+nagesqr+k]=covar[Tvar[k]][i];
1.145     brouard  2793:       }
1.137     brouard  2794:       /* In model V2+V1*V4+age*V3+V3*V2 Tvar[1] is V2, Tvar[2=V1*V4] 
1.138     brouard  2795:         is 6, Tvar[3=age*V3] should not be computed because of age Tvar[4=V3*V2] 
1.137     brouard  2796:         has been calculated etc */
1.126     brouard  2797:       for(mi=1; mi<= wav[i]-1; mi++){
                   2798:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   2799:          for (j=1;j<=nlstate+ndeath;j++){
                   2800:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2801:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2802:          }
                   2803:        for(d=0; d<dh[mi][i]; d++){
                   2804:          newm=savm;
1.187     brouard  2805:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   2806:          cov[2]=agexact;
                   2807:          if(nagesqr==1)
                   2808:            cov[3]= agexact*agexact;
1.126     brouard  2809:          for (kk=1; kk<=cptcovage;kk++) {
1.187     brouard  2810:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact; /* Tage[kk] gives the data-covariate associated with age */
1.126     brouard  2811:          }
                   2812:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   2813:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   2814:          savm=oldm;
                   2815:          oldm=newm;
                   2816:        } /* end mult */
                   2817:       
                   2818:        /*lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);*/ /* Original formula */
                   2819:        /* But now since version 0.9 we anticipate for bias at large stepm.
                   2820:         * If stepm is larger than one month (smallest stepm) and if the exact delay 
                   2821:         * (in months) between two waves is not a multiple of stepm, we rounded to 
                   2822:         * the nearest (and in case of equal distance, to the lowest) interval but now
                   2823:         * we keep into memory the bias bh[mi][i] and also the previous matrix product
                   2824:         * (i.e to dh[mi][i]-1) saved in 'savm'. Then we inter(extra)polate the
                   2825:         * probability in order to take into account the bias as a fraction of the way
                   2826:         * from savm to out if bh is negative or even beyond if bh is positive. bh varies
                   2827:         * -stepm/2 to stepm/2 .
                   2828:         * For stepm=1 the results are the same as for previous versions of Imach.
                   2829:         * For stepm > 1 the results are less biased than in previous versions. 
                   2830:         */
                   2831:        s1=s[mw[mi][i]][i];
                   2832:        s2=s[mw[mi+1][i]][i];
                   2833:        bbh=(double)bh[mi][i]/(double)stepm; 
                   2834:        /* bias bh is positive if real duration
                   2835:         * is higher than the multiple of stepm and negative otherwise.
                   2836:         */
                   2837:        /* lli= (savm[s1][s2]>1.e-8 ?(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]):log((1.+bbh)*out[s1][s2]));*/
                   2838:        if( s2 > nlstate){ 
                   2839:          /* i.e. if s2 is a death state and if the date of death is known 
                   2840:             then the contribution to the likelihood is the probability to 
                   2841:             die between last step unit time and current  step unit time, 
                   2842:             which is also equal to probability to die before dh 
                   2843:             minus probability to die before dh-stepm . 
                   2844:             In version up to 0.92 likelihood was computed
                   2845:        as if date of death was unknown. Death was treated as any other
                   2846:        health state: the date of the interview describes the actual state
                   2847:        and not the date of a change in health state. The former idea was
                   2848:        to consider that at each interview the state was recorded
                   2849:        (healthy, disable or death) and IMaCh was corrected; but when we
                   2850:        introduced the exact date of death then we should have modified
                   2851:        the contribution of an exact death to the likelihood. This new
                   2852:        contribution is smaller and very dependent of the step unit
                   2853:        stepm. It is no more the probability to die between last interview
                   2854:        and month of death but the probability to survive from last
                   2855:        interview up to one month before death multiplied by the
                   2856:        probability to die within a month. Thanks to Chris
                   2857:        Jackson for correcting this bug.  Former versions increased
                   2858:        mortality artificially. The bad side is that we add another loop
                   2859:        which slows down the processing. The difference can be up to 10%
                   2860:        lower mortality.
                   2861:          */
1.183     brouard  2862:        /* If, at the beginning of the maximization mostly, the
                   2863:           cumulative probability or probability to be dead is
                   2864:           constant (ie = 1) over time d, the difference is equal to
                   2865:           0.  out[s1][3] = savm[s1][3]: probability, being at state
                   2866:           s1 at precedent wave, to be dead a month before current
                   2867:           wave is equal to probability, being at state s1 at
                   2868:           precedent wave, to be dead at mont of the current
                   2869:           wave. Then the observed probability (that this person died)
                   2870:           is null according to current estimated parameter. In fact,
                   2871:           it should be very low but not zero otherwise the log go to
                   2872:           infinity.
                   2873:        */
                   2874: /* #ifdef INFINITYORIGINAL */
                   2875: /*         lli=log(out[s1][s2] - savm[s1][s2]); */
                   2876: /* #else */
                   2877: /*       if ((out[s1][s2] - savm[s1][s2]) < mytinydouble)  */
                   2878: /*         lli=log(mytinydouble); */
                   2879: /*       else */
                   2880: /*         lli=log(out[s1][s2] - savm[s1][s2]); */
                   2881: /* #endif */
1.216     brouard  2882:          lli=log(out[s1][s2] - savm[s1][s2]);
                   2883:          
                   2884:        } else if  ( s2==-1 ) { /* alive */
1.126     brouard  2885:          for (j=1,survp=0. ; j<=nlstate; j++) 
                   2886:            survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   2887:          /*survp += out[s1][j]; */
                   2888:          lli= log(survp);
                   2889:        }
                   2890:        else if  (s2==-4) { 
                   2891:          for (j=3,survp=0. ; j<=nlstate; j++)  
                   2892:            survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   2893:          lli= log(survp); 
                   2894:        } 
                   2895:        else if  (s2==-5) { 
                   2896:          for (j=1,survp=0. ; j<=2; j++)  
                   2897:            survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   2898:          lli= log(survp); 
                   2899:        } 
                   2900:        else{
                   2901:          lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
                   2902:          /*  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 */
                   2903:        } 
                   2904:        /*lli=(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]);*/
                   2905:        /*if(lli ==000.0)*/
                   2906:        /*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); */
                   2907:        ipmx +=1;
                   2908:        sw += weight[i];
                   2909:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
1.183     brouard  2910:        /* if (lli < log(mytinydouble)){ */
                   2911:        /*   printf("Close to inf lli = %.10lf <  %.10lf i= %d mi= %d, s[%d][i]=%d s1=%d s2=%d\n", lli,log(mytinydouble), i, mi,mw[mi][i], s[mw[mi][i]][i], s1,s2); */
                   2912:        /*   fprintf(ficlog,"Close to inf lli = %.10lf i= %d mi= %d, s[mw[mi][i]][i]=%d\n", lli, i, mi,s[mw[mi][i]][i]); */
                   2913:        /* } */
1.126     brouard  2914:       } /* end of wave */
                   2915:     } /* end of individual */
                   2916:   }  else if(mle==2){
                   2917:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
1.187     brouard  2918:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
1.126     brouard  2919:       for(mi=1; mi<= wav[i]-1; mi++){
                   2920:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   2921:          for (j=1;j<=nlstate+ndeath;j++){
                   2922:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2923:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2924:          }
                   2925:        for(d=0; d<=dh[mi][i]; d++){
                   2926:          newm=savm;
1.187     brouard  2927:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   2928:          cov[2]=agexact;
                   2929:          if(nagesqr==1)
                   2930:            cov[3]= agexact*agexact;
1.126     brouard  2931:          for (kk=1; kk<=cptcovage;kk++) {
1.187     brouard  2932:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
1.126     brouard  2933:          }
                   2934:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   2935:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   2936:          savm=oldm;
                   2937:          oldm=newm;
                   2938:        } /* end mult */
                   2939:       
                   2940:        s1=s[mw[mi][i]][i];
                   2941:        s2=s[mw[mi+1][i]][i];
                   2942:        bbh=(double)bh[mi][i]/(double)stepm; 
                   2943:        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 */
                   2944:        ipmx +=1;
                   2945:        sw += weight[i];
                   2946:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   2947:       } /* end of wave */
                   2948:     } /* end of individual */
                   2949:   }  else if(mle==3){  /* exponential inter-extrapolation */
                   2950:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
1.187     brouard  2951:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
1.126     brouard  2952:       for(mi=1; mi<= wav[i]-1; mi++){
                   2953:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   2954:          for (j=1;j<=nlstate+ndeath;j++){
                   2955:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2956:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2957:          }
                   2958:        for(d=0; d<dh[mi][i]; d++){
                   2959:          newm=savm;
1.187     brouard  2960:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   2961:          cov[2]=agexact;
                   2962:          if(nagesqr==1)
                   2963:            cov[3]= agexact*agexact;
1.126     brouard  2964:          for (kk=1; kk<=cptcovage;kk++) {
1.187     brouard  2965:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
1.126     brouard  2966:          }
                   2967:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   2968:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   2969:          savm=oldm;
                   2970:          oldm=newm;
                   2971:        } /* end mult */
                   2972:       
                   2973:        s1=s[mw[mi][i]][i];
                   2974:        s2=s[mw[mi+1][i]][i];
                   2975:        bbh=(double)bh[mi][i]/(double)stepm; 
                   2976:        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 */
                   2977:        ipmx +=1;
                   2978:        sw += weight[i];
                   2979:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   2980:       } /* end of wave */
                   2981:     } /* end of individual */
                   2982:   }else if (mle==4){  /* ml=4 no inter-extrapolation */
                   2983:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
1.187     brouard  2984:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
1.126     brouard  2985:       for(mi=1; mi<= wav[i]-1; mi++){
                   2986:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   2987:          for (j=1;j<=nlstate+ndeath;j++){
                   2988:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2989:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2990:          }
                   2991:        for(d=0; d<dh[mi][i]; d++){
                   2992:          newm=savm;
1.187     brouard  2993:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   2994:          cov[2]=agexact;
                   2995:          if(nagesqr==1)
                   2996:            cov[3]= agexact*agexact;
1.126     brouard  2997:          for (kk=1; kk<=cptcovage;kk++) {
1.187     brouard  2998:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
1.126     brouard  2999:          }
                   3000:        
                   3001:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3002:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3003:          savm=oldm;
                   3004:          oldm=newm;
                   3005:        } /* end mult */
                   3006:       
                   3007:        s1=s[mw[mi][i]][i];
                   3008:        s2=s[mw[mi+1][i]][i];
                   3009:        if( s2 > nlstate){ 
                   3010:          lli=log(out[s1][s2] - savm[s1][s2]);
1.216     brouard  3011:        } else if  ( s2==-1 ) { /* alive */
                   3012:          for (j=1,survp=0. ; j<=nlstate; j++) 
                   3013:            survp += out[s1][j];
                   3014:          lli= log(survp);
1.126     brouard  3015:        }else{
                   3016:          lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
                   3017:        }
                   3018:        ipmx +=1;
                   3019:        sw += weight[i];
                   3020:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   3021: /*     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]); */
                   3022:       } /* end of wave */
                   3023:     } /* end of individual */
                   3024:   }else{  /* ml=5 no inter-extrapolation no jackson =0.8a */
                   3025:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
1.187     brouard  3026:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
1.126     brouard  3027:       for(mi=1; mi<= wav[i]-1; mi++){
                   3028:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   3029:          for (j=1;j<=nlstate+ndeath;j++){
                   3030:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3031:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3032:          }
                   3033:        for(d=0; d<dh[mi][i]; d++){
                   3034:          newm=savm;
1.187     brouard  3035:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   3036:          cov[2]=agexact;
                   3037:          if(nagesqr==1)
                   3038:            cov[3]= agexact*agexact;
1.126     brouard  3039:          for (kk=1; kk<=cptcovage;kk++) {
1.187     brouard  3040:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
1.126     brouard  3041:          }
                   3042:        
                   3043:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3044:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3045:          savm=oldm;
                   3046:          oldm=newm;
                   3047:        } /* end mult */
                   3048:       
                   3049:        s1=s[mw[mi][i]][i];
                   3050:        s2=s[mw[mi+1][i]][i];
                   3051:        lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
                   3052:        ipmx +=1;
                   3053:        sw += weight[i];
                   3054:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   3055:        /*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]);*/
                   3056:       } /* end of wave */
                   3057:     } /* end of individual */
                   3058:   } /* End of if */
                   3059:   for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
                   3060:   /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
                   3061:   l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
                   3062:   return -l;
                   3063: }
                   3064: 
                   3065: /*************** log-likelihood *************/
                   3066: double funcone( double *x)
                   3067: {
                   3068:   /* Same as likeli but slower because of a lot of printf and if */
                   3069:   int i, ii, j, k, mi, d, kk;
1.131     brouard  3070:   double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1];
1.126     brouard  3071:   double **out;
                   3072:   double lli; /* Individual log likelihood */
                   3073:   double llt;
                   3074:   int s1, s2;
                   3075:   double bbh, survp;
1.187     brouard  3076:   double agexact;
1.214     brouard  3077:   double agebegin, ageend;
1.126     brouard  3078:   /*extern weight */
                   3079:   /* We are differentiating ll according to initial status */
                   3080:   /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
                   3081:   /*for(i=1;i<imx;i++) 
                   3082:     printf(" %d\n",s[4][i]);
                   3083:   */
                   3084:   cov[1]=1.;
                   3085: 
                   3086:   for(k=1; k<=nlstate; k++) ll[k]=0.;
                   3087: 
                   3088:   for (i=1,ipmx=0, sw=0.; i<=imx; i++){
1.187     brouard  3089:     for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
1.126     brouard  3090:     for(mi=1; mi<= wav[i]-1; mi++){
                   3091:       for (ii=1;ii<=nlstate+ndeath;ii++)
                   3092:        for (j=1;j<=nlstate+ndeath;j++){
                   3093:          oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3094:          savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3095:        }
1.214     brouard  3096:       
                   3097:       agebegin=agev[mw[mi][i]][i]; /* Age at beginning of effective wave */
                   3098:       ageend=agev[mw[mi][i]][i] + (dh[mi][i])*stepm/YEARM; /* Age at end of effective wave and at the end of transition */
                   3099:       for(d=0; d<dh[mi][i]; d++){  /* Delay between two effective waves */
                   3100:        /*dh[m][i] or dh[mw[mi][i]][i] is the delay between two effective waves m=mw[mi][i]
                   3101:          and mw[mi+1][i]. dh depends on stepm.*/
1.126     brouard  3102:        newm=savm;
1.187     brouard  3103:        agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   3104:        cov[2]=agexact;
                   3105:        if(nagesqr==1)
                   3106:          cov[3]= agexact*agexact;
1.126     brouard  3107:        for (kk=1; kk<=cptcovage;kk++) {
1.187     brouard  3108:          cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
1.126     brouard  3109:        }
1.187     brouard  3110: 
1.145     brouard  3111:        /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
1.126     brouard  3112:        out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3113:                     1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
1.145     brouard  3114:        /* out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath, */
                   3115:        /*           1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate)); */
1.126     brouard  3116:        savm=oldm;
                   3117:        oldm=newm;
                   3118:       } /* end mult */
                   3119:       
                   3120:       s1=s[mw[mi][i]][i];
                   3121:       s2=s[mw[mi+1][i]][i];
1.217     brouard  3122:       /* if(s2==-1){ */
                   3123:       /*       printf(" s1=%d, s2=%d i=%d \n", s1, s2, i); */
                   3124:       /*       /\* exit(1); *\/ */
                   3125:       /* } */
1.126     brouard  3126:       bbh=(double)bh[mi][i]/(double)stepm; 
                   3127:       /* bias is positive if real duration
                   3128:        * is higher than the multiple of stepm and negative otherwise.
                   3129:        */
                   3130:       if( s2 > nlstate && (mle <5) ){  /* Jackson */
                   3131:        lli=log(out[s1][s2] - savm[s1][s2]);
1.216     brouard  3132:       } else if  ( s2==-1 ) { /* alive */
1.126     brouard  3133:        for (j=1,survp=0. ; j<=nlstate; j++) 
                   3134:          survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   3135:        lli= log(survp);
                   3136:       }else if (mle==1){
                   3137:        lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
                   3138:       } else if(mle==2){
                   3139:        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 */
                   3140:       } else if(mle==3){  /* exponential inter-extrapolation */
                   3141:        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 */
                   3142:       } else if (mle==4){  /* mle=4 no inter-extrapolation */
                   3143:        lli=log(out[s1][s2]); /* Original formula */
1.136     brouard  3144:       } else{  /* mle=0 back to 1 */
                   3145:        lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
                   3146:        /*lli=log(out[s1][s2]); */ /* Original formula */
1.126     brouard  3147:       } /* End of if */
                   3148:       ipmx +=1;
                   3149:       sw += weight[i];
                   3150:       ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
1.132     brouard  3151:       /*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]); */
1.126     brouard  3152:       if(globpr){
1.214     brouard  3153:        fprintf(ficresilk,"%9ld %6.1f %6.1f %6d %2d %2d %2d %2d %3d %11.6f %8.4f %8.3f\
1.126     brouard  3154:  %11.6f %11.6f %11.6f ", \
1.214     brouard  3155:                num[i], agebegin, ageend, i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],weight[i]*gipmx/gsw,
1.126     brouard  3156:                2*weight[i]*lli,out[s1][s2],savm[s1][s2]);
                   3157:        for(k=1,llt=0.,l=0.; k<=nlstate; k++){
                   3158:          llt +=ll[k]*gipmx/gsw;
                   3159:          fprintf(ficresilk," %10.6f",-ll[k]*gipmx/gsw);
                   3160:        }
                   3161:        fprintf(ficresilk," %10.6f\n", -llt);
                   3162:       }
                   3163:     } /* end of wave */
                   3164:   } /* end of individual */
                   3165:   for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
                   3166:   /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
                   3167:   l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
                   3168:   if(globpr==0){ /* First time we count the contributions and weights */
                   3169:     gipmx=ipmx;
                   3170:     gsw=sw;
                   3171:   }
                   3172:   return -l;
                   3173: }
                   3174: 
                   3175: 
                   3176: /*************** function likelione ***********/
                   3177: void likelione(FILE *ficres,double p[], int npar, int nlstate, int *globpri, long *ipmx, double *sw, double *fretone, double (*funcone)(double []))
                   3178: {
                   3179:   /* This routine should help understanding what is done with 
                   3180:      the selection of individuals/waves and
                   3181:      to check the exact contribution to the likelihood.
                   3182:      Plotting could be done.
                   3183:    */
                   3184:   int k;
                   3185: 
                   3186:   if(*globpri !=0){ /* Just counts and sums, no printings */
1.201     brouard  3187:     strcpy(fileresilk,"ILK_"); 
1.202     brouard  3188:     strcat(fileresilk,fileresu);
1.126     brouard  3189:     if((ficresilk=fopen(fileresilk,"w"))==NULL) {
                   3190:       printf("Problem with resultfile: %s\n", fileresilk);
                   3191:       fprintf(ficlog,"Problem with resultfile: %s\n", fileresilk);
                   3192:     }
1.214     brouard  3193:     fprintf(ficresilk, "#individual(line's_record) count ageb ageend s1 s2 wave# effective_wave# number_of_matrices_product pij weight weight/gpw -2ln(pij)*weight 0pij_x 0pij_(x-stepm) cumulating_loglikeli_by_health_state(reweighted=-2ll*weightXnumber_of_contribs/sum_of_weights) and_total\n");
                   3194:     fprintf(ficresilk, "#num_i ageb agend i s1 s2 mi mw dh likeli weight %%weight 2wlli out sav ");
1.126     brouard  3195:     /*         i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],2*weight[i]*lli,out[s1][s2],savm[s1][s2]); */
                   3196:     for(k=1; k<=nlstate; k++) 
                   3197:       fprintf(ficresilk," -2*gipw/gsw*weight*ll[%d]++",k);
                   3198:     fprintf(ficresilk," -2*gipw/gsw*weight*ll(total)\n");
                   3199:   }
                   3200: 
                   3201:   *fretone=(*funcone)(p);
                   3202:   if(*globpri !=0){
                   3203:     fclose(ficresilk);
1.205     brouard  3204:     if (mle ==0)
                   3205:       fprintf(fichtm,"\n<br>File of contributions to the likelihood computed with initial parameters and mle = %d.",mle);
                   3206:     else if(mle >=1)
                   3207:       fprintf(fichtm,"\n<br>File of contributions to the likelihood computed with optimized parameters mle = %d.",mle);
                   3208:     fprintf(fichtm," You should at least run with mle >= 1 to get starting values corresponding to the optimized parameters in order to visualize the real contribution of each individual/wave: <a href=\"%s\">%s</a><br>\n",subdirf(fileresilk),subdirf(fileresilk));
1.207     brouard  3209:     
1.208     brouard  3210:       
                   3211:     for (k=1; k<= nlstate ; k++) {
1.211     brouard  3212:       fprintf(fichtm,"<br>- Probability p<sub>%dj</sub> by origin %d and destination j. Dot's sizes are related to corresponding weight: <a href=\"%s-p%dj.png\">%s-p%dj.png</a><br> \
1.208     brouard  3213: <img src=\"%s-p%dj.png\">",k,k,subdirf2(optionfilefiname,"ILK_"),k,subdirf2(optionfilefiname,"ILK_"),k,subdirf2(optionfilefiname,"ILK_"),k);
                   3214:     }
1.207     brouard  3215:     fprintf(fichtm,"<br>- The function drawn is -2Log(L) in Log scale: by state of origin <a href=\"%s-ori.png\">%s-ori.png</a><br> \
1.204     brouard  3216: <img src=\"%s-ori.png\">",subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"));
1.207     brouard  3217:     fprintf(fichtm,"<br>- and by state of destination <a href=\"%s-dest.png\">%s-dest.png</a><br> \
1.204     brouard  3218: <img src=\"%s-dest.png\">",subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"));
1.207     brouard  3219:     fflush(fichtm);
1.205     brouard  3220:   }
1.126     brouard  3221:   return;
                   3222: }
                   3223: 
                   3224: 
                   3225: /*********** Maximum Likelihood Estimation ***************/
                   3226: 
                   3227: void mlikeli(FILE *ficres,double p[], int npar, int ncovmodel, int nlstate, double ftol, double (*func)(double []))
                   3228: {
1.165     brouard  3229:   int i,j, iter=0;
1.126     brouard  3230:   double **xi;
                   3231:   double fret;
                   3232:   double fretone; /* Only one call to likelihood */
                   3233:   /*  char filerespow[FILENAMELENGTH];*/
1.162     brouard  3234: 
                   3235: #ifdef NLOPT
                   3236:   int creturn;
                   3237:   nlopt_opt opt;
                   3238:   /* double lb[9] = { -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL }; /\* lower bounds *\/ */
                   3239:   double *lb;
                   3240:   double minf; /* the minimum objective value, upon return */
                   3241:   double * p1; /* Shifted parameters from 0 instead of 1 */
                   3242:   myfunc_data dinst, *d = &dinst;
                   3243: #endif
                   3244: 
                   3245: 
1.126     brouard  3246:   xi=matrix(1,npar,1,npar);
                   3247:   for (i=1;i<=npar;i++)
                   3248:     for (j=1;j<=npar;j++)
                   3249:       xi[i][j]=(i==j ? 1.0 : 0.0);
                   3250:   printf("Powell\n");  fprintf(ficlog,"Powell\n");
1.201     brouard  3251:   strcpy(filerespow,"POW_"); 
1.126     brouard  3252:   strcat(filerespow,fileres);
                   3253:   if((ficrespow=fopen(filerespow,"w"))==NULL) {
                   3254:     printf("Problem with resultfile: %s\n", filerespow);
                   3255:     fprintf(ficlog,"Problem with resultfile: %s\n", filerespow);
                   3256:   }
                   3257:   fprintf(ficrespow,"# Powell\n# iter -2*LL");
                   3258:   for (i=1;i<=nlstate;i++)
                   3259:     for(j=1;j<=nlstate+ndeath;j++)
                   3260:       if(j!=i)fprintf(ficrespow," p%1d%1d",i,j);
                   3261:   fprintf(ficrespow,"\n");
1.162     brouard  3262: #ifdef POWELL
1.126     brouard  3263:   powell(p,xi,npar,ftol,&iter,&fret,func);
1.162     brouard  3264: #endif
1.126     brouard  3265: 
1.162     brouard  3266: #ifdef NLOPT
                   3267: #ifdef NEWUOA
                   3268:   opt = nlopt_create(NLOPT_LN_NEWUOA,npar);
                   3269: #else
                   3270:   opt = nlopt_create(NLOPT_LN_BOBYQA,npar);
                   3271: #endif
                   3272:   lb=vector(0,npar-1);
                   3273:   for (i=0;i<npar;i++) lb[i]= -HUGE_VAL;
                   3274:   nlopt_set_lower_bounds(opt, lb);
                   3275:   nlopt_set_initial_step1(opt, 0.1);
                   3276:   
                   3277:   p1= (p+1); /*  p *(p+1)@8 and p *(p1)@8 are equal p1[0]=p[1] */
                   3278:   d->function = func;
                   3279:   printf(" Func %.12lf \n",myfunc(npar,p1,NULL,d));
                   3280:   nlopt_set_min_objective(opt, myfunc, d);
                   3281:   nlopt_set_xtol_rel(opt, ftol);
                   3282:   if ((creturn=nlopt_optimize(opt, p1, &minf)) < 0) {
                   3283:     printf("nlopt failed! %d\n",creturn); 
                   3284:   }
                   3285:   else {
                   3286:     printf("found minimum after %d evaluations (NLOPT=%d)\n", countcallfunc ,NLOPT);
                   3287:     printf("found minimum at f(%g,%g) = %0.10g\n", p[0], p[1], minf);
                   3288:     iter=1; /* not equal */
                   3289:   }
                   3290:   nlopt_destroy(opt);
                   3291: #endif
1.126     brouard  3292:   free_matrix(xi,1,npar,1,npar);
                   3293:   fclose(ficrespow);
1.203     brouard  3294:   printf("\n#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
                   3295:   fprintf(ficlog,"\n#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
1.180     brouard  3296:   fprintf(ficres,"#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
1.126     brouard  3297: 
                   3298: }
                   3299: 
                   3300: /**** Computes Hessian and covariance matrix ***/
1.203     brouard  3301: void hesscov(double **matcov, double **hess, double p[], int npar, double delti[], double ftolhess, double (*func)(double []))
1.126     brouard  3302: {
                   3303:   double  **a,**y,*x,pd;
1.203     brouard  3304:   /* double **hess; */
1.164     brouard  3305:   int i, j;
1.126     brouard  3306:   int *indx;
                   3307: 
                   3308:   double hessii(double p[], double delta, int theta, double delti[],double (*func)(double []),int npar);
1.203     brouard  3309:   double hessij(double p[], double **hess, double delti[], int i, int j,double (*func)(double []),int npar);
1.126     brouard  3310:   void lubksb(double **a, int npar, int *indx, double b[]) ;
                   3311:   void ludcmp(double **a, int npar, int *indx, double *d) ;
                   3312:   double gompertz(double p[]);
1.203     brouard  3313:   /* hess=matrix(1,npar,1,npar); */
1.126     brouard  3314: 
                   3315:   printf("\nCalculation of the hessian matrix. Wait...\n");
                   3316:   fprintf(ficlog,"\nCalculation of the hessian matrix. Wait...\n");
                   3317:   for (i=1;i<=npar;i++){
1.203     brouard  3318:     printf("%d-",i);fflush(stdout);
                   3319:     fprintf(ficlog,"%d-",i);fflush(ficlog);
1.126     brouard  3320:    
                   3321:      hess[i][i]=hessii(p,ftolhess,i,delti,func,npar);
                   3322:     
                   3323:     /*  printf(" %f ",p[i]);
                   3324:        printf(" %lf %lf %lf",hess[i][i],ftolhess,delti[i]);*/
                   3325:   }
                   3326:   
                   3327:   for (i=1;i<=npar;i++) {
                   3328:     for (j=1;j<=npar;j++)  {
                   3329:       if (j>i) { 
1.203     brouard  3330:        printf(".%d-%d",i,j);fflush(stdout);
                   3331:        fprintf(ficlog,".%d-%d",i,j);fflush(ficlog);
                   3332:        hess[i][j]=hessij(p,hess, delti,i,j,func,npar);
1.126     brouard  3333:        
                   3334:        hess[j][i]=hess[i][j];    
                   3335:        /*printf(" %lf ",hess[i][j]);*/
                   3336:       }
                   3337:     }
                   3338:   }
                   3339:   printf("\n");
                   3340:   fprintf(ficlog,"\n");
                   3341: 
                   3342:   printf("\nInverting the hessian to get the covariance matrix. Wait...\n");
                   3343:   fprintf(ficlog,"\nInverting the hessian to get the covariance matrix. Wait...\n");
                   3344:   
                   3345:   a=matrix(1,npar,1,npar);
                   3346:   y=matrix(1,npar,1,npar);
                   3347:   x=vector(1,npar);
                   3348:   indx=ivector(1,npar);
                   3349:   for (i=1;i<=npar;i++)
                   3350:     for (j=1;j<=npar;j++) a[i][j]=hess[i][j];
                   3351:   ludcmp(a,npar,indx,&pd);
                   3352: 
                   3353:   for (j=1;j<=npar;j++) {
                   3354:     for (i=1;i<=npar;i++) x[i]=0;
                   3355:     x[j]=1;
                   3356:     lubksb(a,npar,indx,x);
                   3357:     for (i=1;i<=npar;i++){ 
                   3358:       matcov[i][j]=x[i];
                   3359:     }
                   3360:   }
                   3361: 
                   3362:   printf("\n#Hessian matrix#\n");
                   3363:   fprintf(ficlog,"\n#Hessian matrix#\n");
                   3364:   for (i=1;i<=npar;i++) { 
                   3365:     for (j=1;j<=npar;j++) { 
1.203     brouard  3366:       printf("%.6e ",hess[i][j]);
                   3367:       fprintf(ficlog,"%.6e ",hess[i][j]);
1.126     brouard  3368:     }
                   3369:     printf("\n");
                   3370:     fprintf(ficlog,"\n");
                   3371:   }
                   3372: 
1.203     brouard  3373:   /* printf("\n#Covariance matrix#\n"); */
                   3374:   /* fprintf(ficlog,"\n#Covariance matrix#\n"); */
                   3375:   /* for (i=1;i<=npar;i++) {  */
                   3376:   /*   for (j=1;j<=npar;j++) {  */
                   3377:   /*     printf("%.6e ",matcov[i][j]); */
                   3378:   /*     fprintf(ficlog,"%.6e ",matcov[i][j]); */
                   3379:   /*   } */
                   3380:   /*   printf("\n"); */
                   3381:   /*   fprintf(ficlog,"\n"); */
                   3382:   /* } */
                   3383: 
1.126     brouard  3384:   /* Recompute Inverse */
1.203     brouard  3385:   /* for (i=1;i<=npar;i++) */
                   3386:   /*   for (j=1;j<=npar;j++) a[i][j]=matcov[i][j]; */
                   3387:   /* ludcmp(a,npar,indx,&pd); */
                   3388: 
                   3389:   /*  printf("\n#Hessian matrix recomputed#\n"); */
                   3390: 
                   3391:   /* for (j=1;j<=npar;j++) { */
                   3392:   /*   for (i=1;i<=npar;i++) x[i]=0; */
                   3393:   /*   x[j]=1; */
                   3394:   /*   lubksb(a,npar,indx,x); */
                   3395:   /*   for (i=1;i<=npar;i++){  */
                   3396:   /*     y[i][j]=x[i]; */
                   3397:   /*     printf("%.3e ",y[i][j]); */
                   3398:   /*     fprintf(ficlog,"%.3e ",y[i][j]); */
                   3399:   /*   } */
                   3400:   /*   printf("\n"); */
                   3401:   /*   fprintf(ficlog,"\n"); */
                   3402:   /* } */
                   3403: 
                   3404:   /* Verifying the inverse matrix */
                   3405: #ifdef DEBUGHESS
                   3406:   y=matprod2(y,hess,1,npar,1,npar,1,npar,matcov);
1.126     brouard  3407: 
1.203     brouard  3408:    printf("\n#Verification: multiplying the matrix of covariance by the Hessian matrix, should be unity:#\n");
                   3409:    fprintf(ficlog,"\n#Verification: multiplying the matrix of covariance by the Hessian matrix. Should be unity:#\n");
1.126     brouard  3410: 
                   3411:   for (j=1;j<=npar;j++) {
                   3412:     for (i=1;i<=npar;i++){ 
1.203     brouard  3413:       printf("%.2f ",y[i][j]);
                   3414:       fprintf(ficlog,"%.2f ",y[i][j]);
1.126     brouard  3415:     }
                   3416:     printf("\n");
                   3417:     fprintf(ficlog,"\n");
                   3418:   }
1.203     brouard  3419: #endif
1.126     brouard  3420: 
                   3421:   free_matrix(a,1,npar,1,npar);
                   3422:   free_matrix(y,1,npar,1,npar);
                   3423:   free_vector(x,1,npar);
                   3424:   free_ivector(indx,1,npar);
1.203     brouard  3425:   /* free_matrix(hess,1,npar,1,npar); */
1.126     brouard  3426: 
                   3427: 
                   3428: }
                   3429: 
                   3430: /*************** hessian matrix ****************/
                   3431: double hessii(double x[], double delta, int theta, double delti[], double (*func)(double []), int npar)
1.203     brouard  3432: { /* Around values of x, computes the function func and returns the scales delti and hessian */
1.126     brouard  3433:   int i;
                   3434:   int l=1, lmax=20;
1.203     brouard  3435:   double k1,k2, res, fx;
1.132     brouard  3436:   double p2[MAXPARM+1]; /* identical to x */
1.126     brouard  3437:   double delt=0.0001, delts, nkhi=10.,nkhif=1., khi=1.e-4;
                   3438:   int k=0,kmax=10;
                   3439:   double l1;
                   3440: 
                   3441:   fx=func(x);
                   3442:   for (i=1;i<=npar;i++) p2[i]=x[i];
1.145     brouard  3443:   for(l=0 ; l <=lmax; l++){  /* Enlarging the zone around the Maximum */
1.126     brouard  3444:     l1=pow(10,l);
                   3445:     delts=delt;
                   3446:     for(k=1 ; k <kmax; k=k+1){
                   3447:       delt = delta*(l1*k);
                   3448:       p2[theta]=x[theta] +delt;
1.145     brouard  3449:       k1=func(p2)-fx;   /* Might be negative if too close to the theoretical maximum */
1.126     brouard  3450:       p2[theta]=x[theta]-delt;
                   3451:       k2=func(p2)-fx;
                   3452:       /*res= (k1-2.0*fx+k2)/delt/delt; */
1.203     brouard  3453:       res= (k1+k2)/delt/delt/2.; /* Divided by 2 because L and not 2*L */
1.126     brouard  3454:       
1.203     brouard  3455: #ifdef DEBUGHESSII
1.126     brouard  3456:       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);
                   3457:       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);
                   3458: #endif
                   3459:       /*if(fabs(k1-2.0*fx+k2) <1.e-13){ */
                   3460:       if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)){
                   3461:        k=kmax;
                   3462:       }
                   3463:       else if((k1 >khi/nkhif) || (k2 >khi/nkhif)){ /* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. */
1.164     brouard  3464:        k=kmax; l=lmax*10;
1.126     brouard  3465:       }
                   3466:       else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){ 
                   3467:        delts=delt;
                   3468:       }
1.203     brouard  3469:     } /* End loop k */
1.126     brouard  3470:   }
                   3471:   delti[theta]=delts;
                   3472:   return res; 
                   3473:   
                   3474: }
                   3475: 
1.203     brouard  3476: double hessij( double x[], double **hess, double delti[], int thetai,int thetaj,double (*func)(double []),int npar)
1.126     brouard  3477: {
                   3478:   int i;
1.164     brouard  3479:   int l=1, lmax=20;
1.126     brouard  3480:   double k1,k2,k3,k4,res,fx;
1.132     brouard  3481:   double p2[MAXPARM+1];
1.203     brouard  3482:   int k, kmax=1;
                   3483:   double v1, v2, cv12, lc1, lc2;
1.208     brouard  3484: 
                   3485:   int firstime=0;
1.203     brouard  3486:   
1.126     brouard  3487:   fx=func(x);
1.203     brouard  3488:   for (k=1; k<=kmax; k=k+10) {
1.126     brouard  3489:     for (i=1;i<=npar;i++) p2[i]=x[i];
1.203     brouard  3490:     p2[thetai]=x[thetai]+delti[thetai]*k;
                   3491:     p2[thetaj]=x[thetaj]+delti[thetaj]*k;
1.126     brouard  3492:     k1=func(p2)-fx;
                   3493:   
1.203     brouard  3494:     p2[thetai]=x[thetai]+delti[thetai]*k;
                   3495:     p2[thetaj]=x[thetaj]-delti[thetaj]*k;
1.126     brouard  3496:     k2=func(p2)-fx;
                   3497:   
1.203     brouard  3498:     p2[thetai]=x[thetai]-delti[thetai]*k;
                   3499:     p2[thetaj]=x[thetaj]+delti[thetaj]*k;
1.126     brouard  3500:     k3=func(p2)-fx;
                   3501:   
1.203     brouard  3502:     p2[thetai]=x[thetai]-delti[thetai]*k;
                   3503:     p2[thetaj]=x[thetaj]-delti[thetaj]*k;
1.126     brouard  3504:     k4=func(p2)-fx;
1.203     brouard  3505:     res=(k1-k2-k3+k4)/4.0/delti[thetai]/k/delti[thetaj]/k/2.; /* Because of L not 2*L */
                   3506:     if(k1*k2*k3*k4 <0.){
1.208     brouard  3507:       firstime=1;
1.203     brouard  3508:       kmax=kmax+10;
1.208     brouard  3509:     }
                   3510:     if(kmax >=10 || firstime ==1){
1.218   ! brouard  3511:       printf("Warning: directions %d-%d, you are not estimating the Hessian at the exact maximum likelihood; you may increase ftol=%.2e\n",thetai,thetaj, ftol);
        !          3512:       fprintf(ficlog,"Warning: directions %d-%d, you are not estimating the Hessian at the exact maximum likelihood; you may increase ftol=%.2e\n",thetai,thetaj, ftol);
1.203     brouard  3513:       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);
                   3514:       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);
                   3515:     }
                   3516: #ifdef DEBUGHESSIJ
                   3517:     v1=hess[thetai][thetai];
                   3518:     v2=hess[thetaj][thetaj];
                   3519:     cv12=res;
                   3520:     /* Computing eigen value of Hessian matrix */
                   3521:     lc1=((v1+v2)+sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                   3522:     lc2=((v1+v2)-sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                   3523:     if ((lc2 <0) || (lc1 <0) ){
                   3524:       printf("Warning: sub Hessian matrix '%d%d' does not have positive eigen values \n",thetai,thetaj);
                   3525:       fprintf(ficlog, "Warning: sub Hessian matrix '%d%d' does not have positive eigen values \n",thetai,thetaj);
                   3526:       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);
                   3527:       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);
                   3528:     }
1.126     brouard  3529: #endif
                   3530:   }
                   3531:   return res;
                   3532: }
                   3533: 
1.203     brouard  3534:     /* Not done yet: Was supposed to fix if not exactly at the maximum */
                   3535: /* double hessij( double x[], double delti[], int thetai,int thetaj,double (*func)(double []),int npar) */
                   3536: /* { */
                   3537: /*   int i; */
                   3538: /*   int l=1, lmax=20; */
                   3539: /*   double k1,k2,k3,k4,res,fx; */
                   3540: /*   double p2[MAXPARM+1]; */
                   3541: /*   double delt=0.0001, delts, nkhi=10.,nkhif=1., khi=1.e-4; */
                   3542: /*   int k=0,kmax=10; */
                   3543: /*   double l1; */
                   3544:   
                   3545: /*   fx=func(x); */
                   3546: /*   for(l=0 ; l <=lmax; l++){  /\* Enlarging the zone around the Maximum *\/ */
                   3547: /*     l1=pow(10,l); */
                   3548: /*     delts=delt; */
                   3549: /*     for(k=1 ; k <kmax; k=k+1){ */
                   3550: /*       delt = delti*(l1*k); */
                   3551: /*       for (i=1;i<=npar;i++) p2[i]=x[i]; */
                   3552: /*       p2[thetai]=x[thetai]+delti[thetai]/k; */
                   3553: /*       p2[thetaj]=x[thetaj]+delti[thetaj]/k; */
                   3554: /*       k1=func(p2)-fx; */
                   3555:       
                   3556: /*       p2[thetai]=x[thetai]+delti[thetai]/k; */
                   3557: /*       p2[thetaj]=x[thetaj]-delti[thetaj]/k; */
                   3558: /*       k2=func(p2)-fx; */
                   3559:       
                   3560: /*       p2[thetai]=x[thetai]-delti[thetai]/k; */
                   3561: /*       p2[thetaj]=x[thetaj]+delti[thetaj]/k; */
                   3562: /*       k3=func(p2)-fx; */
                   3563:       
                   3564: /*       p2[thetai]=x[thetai]-delti[thetai]/k; */
                   3565: /*       p2[thetaj]=x[thetaj]-delti[thetaj]/k; */
                   3566: /*       k4=func(p2)-fx; */
                   3567: /*       res=(k1-k2-k3+k4)/4.0/delti[thetai]*k/delti[thetaj]*k/2.; /\* Because of L not 2*L *\/ */
                   3568: /* #ifdef DEBUGHESSIJ */
                   3569: /*       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); */
                   3570: /*       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); */
                   3571: /* #endif */
                   3572: /*       if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)|| (k4 <khi/nkhi/2.)|| (k4 <khi/nkhi/2.)){ */
                   3573: /*     k=kmax; */
                   3574: /*       } */
                   3575: /*       else if((k1 >khi/nkhif) || (k2 >khi/nkhif) || (k4 >khi/nkhif) || (k4 >khi/nkhif)){ /\* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. *\/ */
                   3576: /*     k=kmax; l=lmax*10; */
                   3577: /*       } */
                   3578: /*       else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){  */
                   3579: /*     delts=delt; */
                   3580: /*       } */
                   3581: /*     } /\* End loop k *\/ */
                   3582: /*   } */
                   3583: /*   delti[theta]=delts; */
                   3584: /*   return res;  */
                   3585: /* } */
                   3586: 
                   3587: 
1.126     brouard  3588: /************** Inverse of matrix **************/
                   3589: void ludcmp(double **a, int n, int *indx, double *d) 
                   3590: { 
                   3591:   int i,imax,j,k; 
                   3592:   double big,dum,sum,temp; 
                   3593:   double *vv; 
                   3594:  
                   3595:   vv=vector(1,n); 
                   3596:   *d=1.0; 
                   3597:   for (i=1;i<=n;i++) { 
                   3598:     big=0.0; 
                   3599:     for (j=1;j<=n;j++) 
                   3600:       if ((temp=fabs(a[i][j])) > big) big=temp; 
                   3601:     if (big == 0.0) nrerror("Singular matrix in routine ludcmp"); 
                   3602:     vv[i]=1.0/big; 
                   3603:   } 
                   3604:   for (j=1;j<=n;j++) { 
                   3605:     for (i=1;i<j;i++) { 
                   3606:       sum=a[i][j]; 
                   3607:       for (k=1;k<i;k++) sum -= a[i][k]*a[k][j]; 
                   3608:       a[i][j]=sum; 
                   3609:     } 
                   3610:     big=0.0; 
                   3611:     for (i=j;i<=n;i++) { 
                   3612:       sum=a[i][j]; 
                   3613:       for (k=1;k<j;k++) 
                   3614:        sum -= a[i][k]*a[k][j]; 
                   3615:       a[i][j]=sum; 
                   3616:       if ( (dum=vv[i]*fabs(sum)) >= big) { 
                   3617:        big=dum; 
                   3618:        imax=i; 
                   3619:       } 
                   3620:     } 
                   3621:     if (j != imax) { 
                   3622:       for (k=1;k<=n;k++) { 
                   3623:        dum=a[imax][k]; 
                   3624:        a[imax][k]=a[j][k]; 
                   3625:        a[j][k]=dum; 
                   3626:       } 
                   3627:       *d = -(*d); 
                   3628:       vv[imax]=vv[j]; 
                   3629:     } 
                   3630:     indx[j]=imax; 
                   3631:     if (a[j][j] == 0.0) a[j][j]=TINY; 
                   3632:     if (j != n) { 
                   3633:       dum=1.0/(a[j][j]); 
                   3634:       for (i=j+1;i<=n;i++) a[i][j] *= dum; 
                   3635:     } 
                   3636:   } 
                   3637:   free_vector(vv,1,n);  /* Doesn't work */
                   3638: ;
                   3639: } 
                   3640: 
                   3641: void lubksb(double **a, int n, int *indx, double b[]) 
                   3642: { 
                   3643:   int i,ii=0,ip,j; 
                   3644:   double sum; 
                   3645:  
                   3646:   for (i=1;i<=n;i++) { 
                   3647:     ip=indx[i]; 
                   3648:     sum=b[ip]; 
                   3649:     b[ip]=b[i]; 
                   3650:     if (ii) 
                   3651:       for (j=ii;j<=i-1;j++) sum -= a[i][j]*b[j]; 
                   3652:     else if (sum) ii=i; 
                   3653:     b[i]=sum; 
                   3654:   } 
                   3655:   for (i=n;i>=1;i--) { 
                   3656:     sum=b[i]; 
                   3657:     for (j=i+1;j<=n;j++) sum -= a[i][j]*b[j]; 
                   3658:     b[i]=sum/a[i][i]; 
                   3659:   } 
                   3660: } 
                   3661: 
                   3662: void pstamp(FILE *fichier)
                   3663: {
1.196     brouard  3664:   fprintf(fichier,"# %s.%s\n#IMaCh version %s, %s\n#%s\n# %s", optionfilefiname,optionfilext,version,copyright, fullversion, strstart);
1.126     brouard  3665: }
                   3666: 
                   3667: /************ Frequencies ********************/
1.214     brouard  3668: void  freqsummary(char fileres[], int iagemin, int iagemax, int **s, double **agev, int nlstate, int imx, \
                   3669:                  int *Tvaraff, int **nbcode, int *ncodemax,double **mint,double **anint, char strstart[],\
                   3670:                  int firstpass,  int lastpass, int stepm, int weightopt, char model[])
1.126     brouard  3671: {  /* Some frequencies */
                   3672:   
1.164     brouard  3673:   int i, m, jk, j1, bool, z1,j;
1.214     brouard  3674:   int mi; /* Effective wave */
1.126     brouard  3675:   int first;
                   3676:   double ***freq; /* Frequencies */
                   3677:   double *pp, **prop;
                   3678:   double pos,posprop, k2, dateintsum=0,k2cpt=0;
1.214     brouard  3679:   char fileresp[FILENAMELENGTH], fileresphtm[FILENAMELENGTH], fileresphtmfr[FILENAMELENGTH];
                   3680:   double agebegin, ageend;
                   3681:     
1.126     brouard  3682:   pp=vector(1,nlstate);
1.218   ! brouard  3683:   prop=matrix(1,nlstate,iagemin-AGEMARGE,iagemax+3+AGEMARGE); 
        !          3684:   /* prop=matrix(1,nlstate,iagemin,iagemax+3); */
1.201     brouard  3685:   strcpy(fileresp,"P_");
                   3686:   strcat(fileresp,fileresu);
1.213     brouard  3687:   /*strcat(fileresphtm,fileresu);*/
1.126     brouard  3688:   if((ficresp=fopen(fileresp,"w"))==NULL) {
                   3689:     printf("Problem with prevalence resultfile: %s\n", fileresp);
                   3690:     fprintf(ficlog,"Problem with prevalence resultfile: %s\n", fileresp);
                   3691:     exit(0);
                   3692:   }
1.214     brouard  3693: 
1.213     brouard  3694:   strcpy(fileresphtm,subdirfext(optionfilefiname,"PHTM_",".htm"));
                   3695:   if((ficresphtm=fopen(fileresphtm,"w"))==NULL) {
                   3696:     printf("Problem with prevalence HTM resultfile '%s' with errno='%s'\n",fileresphtm,strerror(errno));
                   3697:     fprintf(ficlog,"Problem with prevalence HTM resultfile '%s' with errno='%s'\n",fileresphtm,strerror(errno));
                   3698:     fflush(ficlog);
                   3699:     exit(70); 
                   3700:   }
1.214     brouard  3701:   else{
                   3702:     fprintf(ficresphtm,"<html><head>\n<title>IMaCh PHTM_ %s</title></head>\n <body><font size=\"2\">%s <br> %s</font> \
                   3703: <hr size=\"2\" color=\"#EC5E5E\"> \n\
                   3704: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s<br>\n",\
                   3705:          fileresphtm,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);
                   3706:   }
                   3707:     fprintf(ficresphtm,"Current page is file <a href=\"%s\">%s</a><br>\n\n<h4>Frequencies and prevalence by age at begin of transition</h4>\n",fileresphtm, fileresphtm);
                   3708:     
                   3709:   strcpy(fileresphtmfr,subdirfext(optionfilefiname,"PHTMFR_",".htm"));
                   3710:   if((ficresphtmfr=fopen(fileresphtmfr,"w"))==NULL) {
                   3711:     printf("Problem with frequency table HTM resultfile '%s' with errno='%s'\n",fileresphtmfr,strerror(errno));
                   3712:     fprintf(ficlog,"Problem with frequency table HTM resultfile '%s' with errno='%s'\n",fileresphtmfr,strerror(errno));
                   3713:     fflush(ficlog);
                   3714:     exit(70); 
                   3715:   }
                   3716:   else{
                   3717:     fprintf(ficresphtmfr,"<html><head>\n<title>IMaCh PHTM_Frequency table %s</title></head>\n <body><font size=\"2\">%s <br> %s</font> \
                   3718: <hr size=\"2\" color=\"#EC5E5E\"> \n\
                   3719: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s<br>\n",\
                   3720:          fileresphtmfr,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);
                   3721:   }
                   3722:   fprintf(ficresphtmfr,"Current page is file <a href=\"%s\">%s</a><br>\n\n<h4>Frequencies of all effective transitions by age at begin of transition </h4>Unknown status is -1<br/>\n",fileresphtmfr, fileresphtmfr);
                   3723: 
1.218   ! brouard  3724:   freq= ma3x(-5,nlstate+ndeath,-5,nlstate+ndeath,iagemin-AGEMARGE,iagemax+3+AGEMARGE);
1.126     brouard  3725:   j1=0;
                   3726:   
                   3727:   j=cptcoveff;
                   3728:   if (cptcovn<1) {j=1;ncodemax[1]=1;}
                   3729: 
                   3730:   first=1;
                   3731: 
1.214     brouard  3732:   for (j1 = 1; j1 <= (int) pow(2,cptcoveff); j1++){ /* Loop on covariates combination */
1.126     brouard  3733:       /*printf("cptcoveff=%d Tvaraff=%d", cptcoveff,Tvaraff[1]);
                   3734:        scanf("%d", i);*/
                   3735:       for (i=-5; i<=nlstate+ndeath; i++)  
                   3736:        for (jk=-5; jk<=nlstate+ndeath; jk++)  
                   3737:          for(m=iagemin; m <= iagemax+3; m++)
                   3738:            freq[i][jk][m]=0;
1.143     brouard  3739:       
                   3740:       for (i=1; i<=nlstate; i++)  
                   3741:        for(m=iagemin; m <= iagemax+3; m++)
                   3742:          prop[i][m]=0;
1.126     brouard  3743:       
                   3744:       dateintsum=0;
                   3745:       k2cpt=0;
1.214     brouard  3746:       for (i=1; i<=imx; i++) { /* For each individual i */
1.126     brouard  3747:        bool=1;
1.210     brouard  3748:        if (cptcovn>0) { /* Filter is here: Must be looked at for model=V1+V2+V3+V4 */
1.144     brouard  3749:          for (z1=1; z1<=cptcoveff; z1++)       
1.198     brouard  3750:             if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]){
1.145     brouard  3751:                 /* Tests if the value of each of the covariates of i is equal to filter j1 */
1.144     brouard  3752:               bool=0;
1.198     brouard  3753:               /* printf("bool=%d i=%d, z1=%d, Tvaraff[%d]=%d, covar[Tvarff][%d]=%2f, codtabm(%d,%d)=%d, nbcode[Tvaraff][codtabm(%d,%d)=%d, j1=%d\n", 
                   3754:                 bool,i,z1, z1, Tvaraff[z1],i,covar[Tvaraff[z1]][i],j1,z1,codtabm(j1,z1),
                   3755:                 j1,z1,nbcode[Tvaraff[z1]][codtabm(j1,z1)],j1);*/
                   3756:               /* For j1=7 in V1+V2+V3+V4 = 0 1 1 0 and codtabm(7,3)=1 and nbcde[3][?]=1*/
1.144     brouard  3757:             } 
1.210     brouard  3758:        } /* cptcovn > 0 */
1.214     brouard  3759: 
1.126     brouard  3760:        if (bool==1){
1.214     brouard  3761:          /* for(m=firstpass; m<=lastpass; m++){ */
                   3762:          for(mi=1; mi<wav[i];mi++){
                   3763:            m=mw[mi][i];
                   3764:            /* dh[m][i] or dh[mw[mi][i]][i] is the delay between two effective (mi) waves m=mw[mi][i]
                   3765:               and mw[mi+1][i]. dh depends on stepm. */
                   3766:            agebegin=agev[m][i]; /* Age at beginning of wave before transition*/
                   3767:            ageend=agev[m][i]+(dh[m][i])*stepm/YEARM; /* Age at end of wave and transition */
                   3768:            if(m >=firstpass && m <=lastpass){
                   3769:              k2=anint[m][i]+(mint[m][i]/12.);
                   3770:              /*if ((k2>=dateprev1) && (k2<=dateprev2)) {*/
                   3771:              if(agev[m][i]==0) agev[m][i]=iagemax+1;  /* All ages equal to 0 are in iagemax+1 */
                   3772:              if(agev[m][i]==1) agev[m][i]=iagemax+2;  /* All ages equal to 1 are in iagemax+2 */
                   3773:              if (s[m][i]>0 && s[m][i]<=nlstate)  /* If status at wave m is known and a live state */
                   3774:                prop[s[m][i]][(int)agev[m][i]] += weight[i];  /* At age of beginning of transition, where status is known */
1.126     brouard  3775:              if (m<lastpass) {
1.214     brouard  3776:                /* if(s[m][i]==4 && s[m+1][i]==4) */
                   3777:                /*   printf(" num=%ld m=%d, i=%d s1=%d s2=%d agev at m=%d\n", num[i], m, i,s[m][i],s[m+1][i], (int)agev[m][i]); */
                   3778:                if(s[m][i]==-1)
                   3779:                  printf(" num=%ld m=%d, i=%d s1=%d s2=%d agev at m=%d agebegin=%.2f ageend=%.2f, agemed=%d\n", num[i], m, i,s[m][i],s[m+1][i], (int)agev[m][i],agebegin, ageend, (int)((agebegin+ageend)/2.));
                   3780:                freq[s[m][i]][s[m+1][i]][(int)agev[m][i]] += weight[i]; /* At age of beginning of transition, where status is known */
                   3781:                /* freq[s[m][i]][s[m+1][i]][(int)((agebegin+ageend)/2.)] += weight[i]; */
                   3782:                freq[s[m][i]][s[m+1][i]][iagemax+3] += weight[i]; /* Total is in iagemax+3 *//* At age of beginning of transition, where status is known */
1.126     brouard  3783:              }
1.214     brouard  3784:            }  
                   3785:            if ((agev[m][i]>1) && (agev[m][i]< (iagemax+3)) && (anint[m][i]!=9999) && (mint[m][i]!=99)) {
                   3786:              dateintsum=dateintsum+k2;
                   3787:              k2cpt++;
                   3788:              /* printf("i=%ld dateintmean = %lf dateintsum=%lf k2cpt=%lf k2=%lf\n",i, dateintsum/k2cpt, dateintsum,k2cpt, k2); */
                   3789:            }
                   3790:            /*}*/
1.210     brouard  3791:          } /* end m */
                   3792:        } /* end bool */
                   3793:       } /* end i = 1 to imx */
1.126     brouard  3794:        
                   3795:       /*      fprintf(ficresp, "#Count between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);*/
                   3796:       pstamp(ficresp);
                   3797:       if  (cptcovn>0) {
                   3798:        fprintf(ficresp, "\n#********** Variable "); 
1.214     brouard  3799:        fprintf(ficresphtm, "\n<br/><br/><h3>********** Variable "); 
                   3800:        fprintf(ficresphtmfr, "\n<br/><br/><h3>********** Variable "); 
1.213     brouard  3801:        for (z1=1; z1<=cptcoveff; z1++){
                   3802:          fprintf(ficresp, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   3803:          fprintf(ficresphtm, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.214     brouard  3804:          fprintf(ficresphtmfr, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.213     brouard  3805:        }
                   3806:          fprintf(ficresp, "**********\n#");
1.214     brouard  3807:        fprintf(ficresphtm, "**********</h3>\n");
                   3808:        fprintf(ficresphtmfr, "**********</h3>\n");
1.143     brouard  3809:        fprintf(ficlog, "\n#********** Variable "); 
1.198     brouard  3810:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficlog, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.214     brouard  3811:        fprintf(ficlog, "**********\n");
1.126     brouard  3812:       }
1.214     brouard  3813:       fprintf(ficresphtm,"<table style=\"text-align:center; border: 1px solid\">");
1.213     brouard  3814:       for(i=1; i<=nlstate;i++) {
1.126     brouard  3815:        fprintf(ficresp, " Age Prev(%d) N(%d) N",i,i);
1.213     brouard  3816:        fprintf(ficresphtm, "<th>Age</th><th>Prev(%d)</th><th>N(%d)</th><th>N</th>",i,i);
                   3817:       }
1.126     brouard  3818:       fprintf(ficresp, "\n");
1.213     brouard  3819:       fprintf(ficresphtm, "\n");
1.126     brouard  3820:       
1.214     brouard  3821:       /* Header of frequency table by age */
                   3822:       fprintf(ficresphtmfr,"<table style=\"text-align:center; border: 1px solid\">");
                   3823:       fprintf(ficresphtmfr,"<th>Age</th> ");
                   3824:       for(jk=-1; jk <=nlstate+ndeath; jk++){
                   3825:        for(m=-1; m <=nlstate+ndeath; m++){
                   3826:          if(jk!=0 && m!=0)
                   3827:            fprintf(ficresphtmfr,"<th>%d%d</th> ",jk,m);
                   3828:        }
                   3829:       }
                   3830:       fprintf(ficresphtmfr, "\n");
                   3831:       
                   3832:       /* For each age */
1.126     brouard  3833:       for(i=iagemin; i <= iagemax+3; i++){
1.213     brouard  3834:        fprintf(ficresphtm,"<tr>");
1.214     brouard  3835:        if(i==iagemax+1){
                   3836:          fprintf(ficlog,"1");
                   3837:          fprintf(ficresphtmfr,"<tr><th>0</th> ");
                   3838:        }else if(i==iagemax+2){
                   3839:          fprintf(ficlog,"0");
                   3840:          fprintf(ficresphtmfr,"<tr><th>Unknown</th> ");
                   3841:        }else if(i==iagemax+3){
1.126     brouard  3842:          fprintf(ficlog,"Total");
1.214     brouard  3843:          fprintf(ficresphtmfr,"<tr><th>Total</th> ");
1.126     brouard  3844:        }else{
                   3845:          if(first==1){
                   3846:            first=0;
                   3847:            printf("See log file for details...\n");
                   3848:          }
1.214     brouard  3849:          fprintf(ficresphtmfr,"<tr><th>%d</th> ",i);
1.126     brouard  3850:          fprintf(ficlog,"Age %d", i);
                   3851:        }
                   3852:        for(jk=1; jk <=nlstate ; jk++){
                   3853:          for(m=-1, pp[jk]=0; m <=nlstate+ndeath ; m++)
                   3854:            pp[jk] += freq[jk][m][i]; 
                   3855:        }
                   3856:        for(jk=1; jk <=nlstate ; jk++){
                   3857:          for(m=-1, pos=0; m <=0 ; m++)
                   3858:            pos += freq[jk][m][i];
                   3859:          if(pp[jk]>=1.e-10){
                   3860:            if(first==1){
1.132     brouard  3861:              printf(" %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);
1.126     brouard  3862:            }
                   3863:            fprintf(ficlog," %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);
                   3864:          }else{
                   3865:            if(first==1)
                   3866:              printf(" %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);
                   3867:            fprintf(ficlog," %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);
                   3868:          }
                   3869:        }
                   3870: 
                   3871:        for(jk=1; jk <=nlstate ; jk++){
                   3872:          for(m=0, pp[jk]=0; m <=nlstate+ndeath; m++)
                   3873:            pp[jk] += freq[jk][m][i];
                   3874:        }       
                   3875:        for(jk=1,pos=0,posprop=0; jk <=nlstate ; jk++){
                   3876:          pos += pp[jk];
                   3877:          posprop += prop[jk][i];
                   3878:        }
                   3879:        for(jk=1; jk <=nlstate ; jk++){
                   3880:          if(pos>=1.e-5){
                   3881:            if(first==1)
                   3882:              printf(" %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);
                   3883:            fprintf(ficlog," %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);
                   3884:          }else{
                   3885:            if(first==1)
                   3886:              printf(" %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);
                   3887:            fprintf(ficlog," %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);
                   3888:          }
                   3889:          if( i <= iagemax){
                   3890:            if(pos>=1.e-5){
                   3891:              fprintf(ficresp," %d %.5f %.0f %.0f",i,prop[jk][i]/posprop, prop[jk][i],posprop);
1.213     brouard  3892:              fprintf(ficresphtm,"<th>%d</th><td>%.5f</td><td>%.0f</td><td>%.0f</td>",i,prop[jk][i]/posprop, prop[jk][i],posprop);
1.126     brouard  3893:              /*probs[i][jk][j1]= pp[jk]/pos;*/
                   3894:              /*printf("\ni=%d jk=%d j1=%d %.5f %.0f %.0f %f",i,jk,j1,pp[jk]/pos, pp[jk],pos,probs[i][jk][j1]);*/
                   3895:            }
1.213     brouard  3896:            else{
1.126     brouard  3897:              fprintf(ficresp," %d NaNq %.0f %.0f",i,prop[jk][i],posprop);
1.213     brouard  3898:              fprintf(ficresphtm,"<th>%d</th><td>NaNq</td><td>%.0f</td><td>%.0f</td>",i, prop[jk][i],posprop);
                   3899:            }
1.126     brouard  3900:          }
                   3901:        }
                   3902:        
1.214     brouard  3903:        for(jk=-1; jk <=nlstate+ndeath; jk++){
                   3904:          for(m=-1; m <=nlstate+ndeath; m++){
                   3905:            if(freq[jk][m][i] !=0 ) { /* minimizing output */
                   3906:              if(first==1){
                   3907:                printf(" %d%d=%.0f",jk,m,freq[jk][m][i]);
                   3908:              }
1.126     brouard  3909:              fprintf(ficlog," %d%d=%.0f",jk,m,freq[jk][m][i]);
                   3910:            }
1.214     brouard  3911:            if(jk!=0 && m!=0)
                   3912:              fprintf(ficresphtmfr,"<td>%.0f</td> ",freq[jk][m][i]);
                   3913:          }
                   3914:        }
                   3915:        fprintf(ficresphtmfr,"</tr>\n ");
1.213     brouard  3916:        if(i <= iagemax){
1.126     brouard  3917:          fprintf(ficresp,"\n");
1.213     brouard  3918:          fprintf(ficresphtm,"</tr>\n");
                   3919:        }
1.126     brouard  3920:        if(first==1)
                   3921:          printf("Others in log...\n");
                   3922:        fprintf(ficlog,"\n");
1.210     brouard  3923:       } /* end loop i */
1.213     brouard  3924:       fprintf(ficresphtm,"</table>\n");
1.214     brouard  3925:       fprintf(ficresphtmfr,"</table>\n");
1.145     brouard  3926:       /*}*/
1.210     brouard  3927:   } /* end j1 */
1.126     brouard  3928:   dateintmean=dateintsum/k2cpt; 
                   3929:  
                   3930:   fclose(ficresp);
1.213     brouard  3931:   fclose(ficresphtm);
1.214     brouard  3932:   fclose(ficresphtmfr);
1.218   ! brouard  3933:   free_ma3x(freq,-5,nlstate+ndeath,-5,nlstate+ndeath, iagemin-AGEMARGE, iagemax+3+AGEMARGE);
1.126     brouard  3934:   free_vector(pp,1,nlstate);
1.218   ! brouard  3935:   free_matrix(prop,1,nlstate,iagemin-AGEMARGE, iagemax+3+AGEMARGE);
1.126     brouard  3936:   /* End of Freq */
                   3937: }
                   3938: 
                   3939: /************ Prevalence ********************/
                   3940: 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)
                   3941: {  
                   3942:   /* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people
                   3943:      in each health status at the date of interview (if between dateprev1 and dateprev2).
                   3944:      We still use firstpass and lastpass as another selection.
                   3945:   */
                   3946:  
1.164     brouard  3947:   int i, m, jk, j1, bool, z1,j;
1.214     brouard  3948:   int mi; /* Effective wave */
                   3949:   int iage;
                   3950:   double agebegin, ageend;
1.164     brouard  3951: 
                   3952:   double **prop;
                   3953:   double posprop; 
1.126     brouard  3954:   double  y2; /* in fractional years */
                   3955:   int iagemin, iagemax;
1.145     brouard  3956:   int first; /** to stop verbosity which is redirected to log file */
1.126     brouard  3957: 
                   3958:   iagemin= (int) agemin;
                   3959:   iagemax= (int) agemax;
                   3960:   /*pp=vector(1,nlstate);*/
1.218   ! brouard  3961:   prop=matrix(1,nlstate,iagemin-AGEMARGE,iagemax+3+AGEMARGE); 
1.126     brouard  3962:   /*  freq=ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,iagemin,iagemax+3);*/
                   3963:   j1=0;
                   3964:   
1.145     brouard  3965:   /*j=cptcoveff;*/
1.126     brouard  3966:   if (cptcovn<1) {j=1;ncodemax[1]=1;}
                   3967:   
1.145     brouard  3968:   first=1;
                   3969:   for(j1=1; j1<= (int) pow(2,cptcoveff);j1++){
1.214     brouard  3970:     for (i=1; i<=nlstate; i++)  
1.218   ! brouard  3971:       for(iage=iagemin-AGEMARGE; iage <= iagemax+3+AGEMARGE; iage++)
        !          3972:                                prop[i][iage]=0.0;
1.214     brouard  3973:     
                   3974:     for (i=1; i<=imx; i++) { /* Each individual */
                   3975:       bool=1;
                   3976:       if  (cptcovn>0) {  /* Filter is here: Must be looked at for model=V1+V2+V3+V4 */
1.218   ! brouard  3977:                                for (z1=1; z1<=cptcoveff; z1++) 
        !          3978:                                        if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]) 
        !          3979:                                                bool=0;
1.214     brouard  3980:       } 
                   3981:       if (bool==1) { 
1.218   ! brouard  3982:                                /* for(m=firstpass; m<=lastpass; m++){/\* Other selection (we can limit to certain interviews*\/ */
        !          3983:                                for(mi=1; mi<wav[i];mi++){
        !          3984:                                        m=mw[mi][i];
        !          3985:                                        agebegin=agev[m][i]; /* Age at beginning of wave before transition*/
        !          3986:                                        /* ageend=agev[m][i]+(dh[m][i])*stepm/YEARM; /\* Age at end of wave and transition *\/ */
        !          3987:                                        if(m >=firstpass && m <=lastpass){
        !          3988:                                                y2=anint[m][i]+(mint[m][i]/12.); /* Fractional date in year */
        !          3989:                                                if ((y2>=dateprev1) && (y2<=dateprev2)) { /* Here is the main selection (fractional years) */
        !          3990:                                                        if(agev[m][i]==0) agev[m][i]=iagemax+1;
        !          3991:                                                        if(agev[m][i]==1) agev[m][i]=iagemax+2;
        !          3992:                                                        if((int)agev[m][i] <iagemin-AGEMARGE || (int)agev[m][i] >iagemax+3+AGEMARGE){
        !          3993:                                                                printf("Error on individual # %d agev[m][i]=%f <%d-%d or > %d+3+%d  m=%d; either change agemin or agemax or fix data\n",i, agev[m][i],iagemin,AGEMARGE, iagemax,AGEMARGE,m); 
        !          3994:                                                                exit(1);
        !          3995:                                                        }
        !          3996:                                                        if (s[m][i]>0 && s[m][i]<=nlstate) { 
        !          3997:                                                                /*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]]);*/
        !          3998:                                                                prop[s[m][i]][(int)agev[m][i]] += weight[i];/* At age of beginning of transition, where status is known */
        !          3999:                                                                prop[s[m][i]][iagemax+3] += weight[i]; 
        !          4000:                                                        } /* end valid statuses */ 
        !          4001:                                                } /* end selection of dates */
        !          4002:                                        } /* end selection of waves */
        !          4003:                                } /* end effective waves */
1.214     brouard  4004:       } /* end bool */
                   4005:     }
                   4006:     for(i=iagemin; i <= iagemax+3; i++){  
                   4007:       for(jk=1,posprop=0; jk <=nlstate ; jk++) { 
1.218   ! brouard  4008:                                posprop += prop[jk][i]; 
1.214     brouard  4009:       } 
                   4010:       
                   4011:       for(jk=1; jk <=nlstate ; jk++){      
1.218   ! brouard  4012:                                if( i <=  iagemax){ 
        !          4013:                                        if(posprop>=1.e-5){ 
        !          4014:                                                probs[i][jk][j1]= prop[jk][i]/posprop;
        !          4015:                                        } else{
        !          4016:                                                if(first==1){
        !          4017:                                                        first=0;
        !          4018:                                                        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]);
        !          4019:                                                }
        !          4020:                                        }
        !          4021:                                } 
1.214     brouard  4022:       }/* end jk */ 
                   4023:     }/* end i */ 
1.145     brouard  4024:     /*} *//* end i1 */
                   4025:   } /* end j1 */
1.126     brouard  4026:   
                   4027:   /*  free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath, iagemin, iagemax+3);*/
                   4028:   /*free_vector(pp,1,nlstate);*/
1.218   ! brouard  4029:   free_matrix(prop,1,nlstate, iagemin-AGEMARGE,iagemax+3+AGEMARGE);
1.126     brouard  4030: }  /* End of prevalence */
                   4031: 
                   4032: /************* Waves Concatenation ***************/
                   4033: 
                   4034: 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)
                   4035: {
                   4036:   /* Concatenates waves: wav[i] is the number of effective (useful waves) of individual i.
                   4037:      Death is a valid wave (if date is known).
                   4038:      mw[mi][i] is the mi (mi=1 to wav[i])  effective wave of individual i
                   4039:      dh[m][i] or dh[mw[mi][i]][i] is the delay between two effective waves m=mw[mi][i]
                   4040:      and mw[mi+1][i]. dh depends on stepm.
                   4041:      */
                   4042: 
                   4043:   int i, mi, m;
                   4044:   /* int j, k=0,jk, ju, jl,jmin=1e+5, jmax=-1;
                   4045:      double sum=0., jmean=0.;*/
1.218   ! brouard  4046:   int first, firstwo, firsthree, firstfour;
1.126     brouard  4047:   int j, k=0,jk, ju, jl;
                   4048:   double sum=0.;
                   4049:   first=0;
1.214     brouard  4050:   firstwo=0;
1.217     brouard  4051:   firsthree=0;
1.218   ! brouard  4052:   firstfour=0;
1.164     brouard  4053:   jmin=100000;
1.126     brouard  4054:   jmax=-1;
                   4055:   jmean=0.;
1.214     brouard  4056:   for(i=1; i<=imx; i++){  /* For simple cases and if state is death */
1.126     brouard  4057:     mi=0;
                   4058:     m=firstpass;
1.214     brouard  4059:     while(s[m][i] <= nlstate){  /* a live state */
1.216     brouard  4060:       if(s[m][i]>=1 || s[m][i]==-4 || s[m][i]==-5){ /* Since 0.98r4 if status=-2 vital status is really unknown, wave should be skipped */
1.126     brouard  4061:        mw[++mi][i]=m;
1.216     brouard  4062:       }
                   4063:       if(m >=lastpass){
                   4064:        if(s[m][i]==-1 && (int) andc[i] == 9999 && (int)anint[m][i] != 9999){
1.217     brouard  4065:          if(firsthree == 0){
                   4066:            printf("Information! Unknown health status for individual %ld line=%d occurred at last wave %d at known date %d/%d. Please, check if your unknown date of death %d/%d means a live state %d at wave %d. This case(%d)/wave(%d) contributes to the likelihood.\nOthers in log file only\n",num[i],i,lastpass,(int)mint[m][i],(int)anint[m][i], (int) moisdc[i], (int) andc[i], s[m][i], m, i, m);
                   4067:            firsthree=1;
                   4068:          }
1.218   ! brouard  4069:          fprintf(ficlog,"Information! Unknown status for individual %ld line=%d occurred at last wave %d at known date %d/%d. Please, check if your unknown date of death %d/%d means a live state %d at wave %d. This case(%d)/wave(%d) contributes to the likelihood.\n",num[i],i,lastpass,(int)mint[m][i],(int)anint[m][i], (int) moisdc[i], (int) andc[i], s[m][i], m, i, m);
1.216     brouard  4070:          mw[++mi][i]=m;
                   4071:        }
                   4072:        if(s[m][i]==-2){ /* Vital status is really unknown */
                   4073:          nbwarn++;
                   4074:          if((int)anint[m][i] == 9999){  /*  Has the vital status really been verified? */
                   4075:            printf("Warning! Vital status for individual %ld (line=%d) at last wave %d interviewed at date %d/%d is unknown %d. Please, check if the vital status and the date of death %d/%d are really unknown. This case (%d)/wave (%d) is skipped, no contribution to likelihood.\nOthers in log file only\n",num[i],i,lastpass,(int)mint[m][i],(int)anint[m][i], s[m][i], (int) moisdc[i], (int) andc[i], i, m);
                   4076:            fprintf(ficlog,"Warning! Vital status for individual %ld (line=%d) at last wave %d interviewed at date %d/%d is unknown %d. Please, check if the vital status and the date of death %d/%d are really unknown. This case (%d)/wave (%d) is skipped, no contribution to likelihood.\nOthers in log file only\n",num[i],i,lastpass,(int)mint[m][i],(int)anint[m][i], s[m][i], (int) moisdc[i], (int) andc[i], i, m);
                   4077:          }
                   4078:          break;
                   4079:        }
1.126     brouard  4080:        break;
1.216     brouard  4081:       }
1.126     brouard  4082:       else
                   4083:        m++;
                   4084:     }/* end while */
1.216     brouard  4085:     
                   4086:     /* After last pass */
1.214     brouard  4087:     if (s[m][i] > nlstate){  /* In a death state */
1.126     brouard  4088:       mi++;    /* Death is another wave */
                   4089:       /* if(mi==0)  never been interviewed correctly before death */
                   4090:         /* Only death is a correct wave */
                   4091:       mw[mi][i]=m;
1.216     brouard  4092:     }else if ((int) andc[i] != 9999) { /* Status is either death or negative. A death occured after lastpass, we can't take it into account because of potential bias */
                   4093:       /* m++; */
                   4094:       /* mi++; */
                   4095:       /* s[m][i]=nlstate+1;  /\* We are setting the status to the last of non live state *\/ */
                   4096:       /* mw[mi][i]=m; */
                   4097:       nberr++;
1.218   ! brouard  4098:       if ((int)anint[m][i]!= 9999) { /* date of last interview is known */
        !          4099:        if(firstwo==0){
        !          4100:          printf("Error! Death for individual %ld line=%d  occurred %d/%d after last wave %d interviewed at %d/%d. Potential bias if other individuals are still alive at this date but ignored. This case (%d)/wave (%d) is skipped, no contribution to likelihood.\nOthers in log file only\n",num[i],i,(int) moisdc[i], (int) andc[i], lastpass,(int)mint[m][i],(int)anint[m][i], i,m );
        !          4101:          firstwo=1;
        !          4102:        }
        !          4103:        fprintf(ficlog,"Error! Death for individual %ld line=%d  occurred %d/%d after last wave %d interviewed at %d/%d. Potential bias if other individuals are still alive at this date but ignored. This case (%d)/wave (%d) is skipped, no contribution to likelihood.\n",num[i],i,(int) moisdc[i], (int) andc[i], lastpass,(int)mint[m][i],(int)anint[m][i], i,m );
        !          4104:       }else{ /* end date of interview is known */
        !          4105:        /* death is known but not confirmed by death status at any wave */
        !          4106:        if(firstfour==0){
        !          4107:          printf("Error! Death for individual %ld line=%d  occurred %d/%d but not confirmed by any death status for any wave, including last wave %d at unknown date %d/%d. Potential bias if other individuals are still alive at this date but ignored. This case (%d)/wave (%d) is skipped, no contribution to likelihood.\nOthers in log file only\n",num[i],i,(int) moisdc[i], (int) andc[i], lastpass,(int)mint[m][i],(int)anint[m][i], i,m );
        !          4108:          firstfour=1;
        !          4109:        }
        !          4110:        fprintf(ficlog,"Error! Death for individual %ld line=%d  occurred %d/%d but not confirmed by any death status for any wave, including last wave %d at unknown date %d/%d. Potential bias if other individuals are still alive at this date but ignored. This case (%d)/wave (%d) is skipped, no contribution to likelihood.\n",num[i],i,(int) moisdc[i], (int) andc[i], lastpass,(int)mint[m][i],(int)anint[m][i], i,m );
1.214     brouard  4111:       }
1.126     brouard  4112:     }
                   4113:     wav[i]=mi;
                   4114:     if(mi==0){
                   4115:       nbwarn++;
                   4116:       if(first==0){
                   4117:        printf("Warning! No valid information for individual %ld line=%d (skipped) and may be others, see log file\n",num[i],i);
                   4118:        first=1;
                   4119:       }
                   4120:       if(first==1){
                   4121:        fprintf(ficlog,"Warning! No valid information for individual %ld line=%d (skipped)\n",num[i],i);
                   4122:       }
                   4123:     } /* end mi==0 */
                   4124:   } /* End individuals */
1.214     brouard  4125:   /* wav and mw are no more changed */
1.126     brouard  4126: 
1.214     brouard  4127:   
1.126     brouard  4128:   for(i=1; i<=imx; i++){
                   4129:     for(mi=1; mi<wav[i];mi++){
                   4130:       if (stepm <=0)
                   4131:        dh[mi][i]=1;
                   4132:       else{
                   4133:        if (s[mw[mi+1][i]][i] > nlstate) { /* A death */
                   4134:          if (agedc[i] < 2*AGESUP) {
                   4135:            j= rint(agedc[i]*12-agev[mw[mi][i]][i]*12); 
                   4136:            if(j==0) j=1;  /* Survives at least one month after exam */
                   4137:            else if(j<0){
                   4138:              nberr++;
                   4139:              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]);
                   4140:              j=1; /* Temporary Dangerous patch */
                   4141:              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);
                   4142:              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]);
                   4143:              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);
                   4144:            }
                   4145:            k=k+1;
                   4146:            if (j >= jmax){
                   4147:              jmax=j;
                   4148:              ijmax=i;
                   4149:            }
                   4150:            if (j <= jmin){
                   4151:              jmin=j;
                   4152:              ijmin=i;
                   4153:            }
                   4154:            sum=sum+j;
                   4155:            /*if (j<0) printf("j=%d num=%d \n",j,i);*/
                   4156:            /*    printf("%d %d %d %d\n", s[mw[mi][i]][i] ,s[mw[mi+1][i]][i],j,i);*/
                   4157:          }
                   4158:        }
                   4159:        else{
                   4160:          j= rint( (agev[mw[mi+1][i]][i]*12 - agev[mw[mi][i]][i]*12));
                   4161: /*       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]); */
                   4162: 
                   4163:          k=k+1;
                   4164:          if (j >= jmax) {
                   4165:            jmax=j;
                   4166:            ijmax=i;
                   4167:          }
                   4168:          else if (j <= jmin){
                   4169:            jmin=j;
                   4170:            ijmin=i;
                   4171:          }
                   4172:          /*        if (j<10) printf("j=%d jmin=%d num=%d ",j,jmin,i); */
                   4173:          /*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]);*/
                   4174:          if(j<0){
                   4175:            nberr++;
                   4176:            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]);
                   4177:            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]);
                   4178:          }
                   4179:          sum=sum+j;
                   4180:        }
                   4181:        jk= j/stepm;
                   4182:        jl= j -jk*stepm;
                   4183:        ju= j -(jk+1)*stepm;
                   4184:        if(mle <=1){ /* only if we use a the linear-interpoloation pseudo-likelihood */
                   4185:          if(jl==0){
                   4186:            dh[mi][i]=jk;
                   4187:            bh[mi][i]=0;
                   4188:          }else{ /* We want a negative bias in order to only have interpolation ie
1.136     brouard  4189:                  * to avoid the price of an extra matrix product in likelihood */
1.126     brouard  4190:            dh[mi][i]=jk+1;
                   4191:            bh[mi][i]=ju;
                   4192:          }
                   4193:        }else{
                   4194:          if(jl <= -ju){
                   4195:            dh[mi][i]=jk;
                   4196:            bh[mi][i]=jl;       /* bias is positive if real duration
                   4197:                                 * is higher than the multiple of stepm and negative otherwise.
                   4198:                                 */
                   4199:          }
                   4200:          else{
                   4201:            dh[mi][i]=jk+1;
                   4202:            bh[mi][i]=ju;
                   4203:          }
                   4204:          if(dh[mi][i]==0){
                   4205:            dh[mi][i]=1; /* At least one step */
                   4206:            bh[mi][i]=ju; /* At least one step */
                   4207:            /*  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);*/
                   4208:          }
                   4209:        } /* end if mle */
                   4210:       }
                   4211:     } /* end wave */
                   4212:   }
                   4213:   jmean=sum/k;
                   4214:   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);
1.141     brouard  4215:   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);
1.126     brouard  4216:  }
                   4217: 
                   4218: /*********** Tricode ****************************/
1.145     brouard  4219: void tricode(int *Tvar, int **nbcode, int imx, int *Ndum)
1.126     brouard  4220: {
1.144     brouard  4221:   /**< Uses cptcovn+2*cptcovprod as the number of covariates */
                   4222:   /*     Tvar[i]=atoi(stre);  find 'n' in Vn and stores in Tvar. If model=V2+V1 Tvar[1]=2 and Tvar[2]=1 
1.169     brouard  4223:    * Boring subroutine which should only output nbcode[Tvar[j]][k]
1.145     brouard  4224:    * Tvar[5] in V2+V1+V3*age+V2*V4 is 2 (V2)
1.169     brouard  4225:    * nbcode[Tvar[j]][1]= 
1.144     brouard  4226:   */
1.130     brouard  4227: 
1.145     brouard  4228:   int ij=1, k=0, j=0, i=0, maxncov=NCOVMAX;
1.136     brouard  4229:   int modmaxcovj=0; /* Modality max of covariates j */
1.145     brouard  4230:   int cptcode=0; /* Modality max of covariates j */
                   4231:   int modmincovj=0; /* Modality min of covariates j */
                   4232: 
                   4233: 
1.126     brouard  4234:   cptcoveff=0; 
                   4235:  
1.144     brouard  4236:   for (k=1; k <= maxncov; k++) ncodemax[k]=0; /* Horrible constant again replaced by NCOVMAX */
1.126     brouard  4237: 
1.145     brouard  4238:   /* Loop on covariates without age and products */
1.186     brouard  4239:   for (j=1; j<=(cptcovs); j++) { /* From model V1 + V2*age+ V3 + V3*V4 keeps V1 + V3 = 2 only */
1.192     brouard  4240:     for (k=-1; k < maxncov; k++) Ndum[k]=0;
1.186     brouard  4241:     for (i=1; i<=imx; i++) { /* Loop on individuals: reads the data file to get the maximum value of the 
1.136     brouard  4242:                               modality of this covariate Vj*/ 
1.145     brouard  4243:       ij=(int)(covar[Tvar[j]][i]); /* ij=0 or 1 or -1. Value of the covariate Tvar[j] for individual i
                   4244:                                    * If product of Vn*Vm, still boolean *:
                   4245:                                    * If it was coded 1, 2, 3, 4 should be splitted into 3 boolean variables
                   4246:                                    * 1 => 0 0 0, 2 => 0 0 1, 3 => 0 1 1, 4=1 0 0   */
                   4247:       /* Finds for covariate j, n=Tvar[j] of Vn . ij is the
1.136     brouard  4248:                                      modality of the nth covariate of individual i. */
1.145     brouard  4249:       if (ij > modmaxcovj)
                   4250:         modmaxcovj=ij; 
                   4251:       else if (ij < modmincovj) 
                   4252:        modmincovj=ij; 
                   4253:       if ((ij < -1) && (ij > NCOVMAX)){
                   4254:        printf( "Error: minimal is less than -1 or maximal is bigger than %d. Exiting. \n", NCOVMAX );
                   4255:        exit(1);
                   4256:       }else
1.136     brouard  4257:       Ndum[ij]++; /*counts and stores the occurence of this modality 0, 1, -1*/
1.145     brouard  4258:       /*  If coded 1, 2, 3 , counts the number of 1 Ndum[1], number of 2, Ndum[2], etc */
1.126     brouard  4259:       /*printf("i=%d ij=%d Ndum[ij]=%d imx=%d",i,ij,Ndum[ij],imx);*/
1.136     brouard  4260:       /* getting the maximum value of the modality of the covariate
                   4261:         (should be 0 or 1 now) Tvar[j]. If V=sex and male is coded 0 and
                   4262:         female is 1, then modmaxcovj=1.*/
1.192     brouard  4263:     } /* end for loop on individuals i */
1.145     brouard  4264:     printf(" Minimal and maximal values of %d th covariate V%d: min=%d max=%d \n", j, Tvar[j], modmincovj, modmaxcovj);
1.192     brouard  4265:     fprintf(ficlog," Minimal and maximal values of %d th covariate V%d: min=%d max=%d \n", j, Tvar[j], modmincovj, modmaxcovj);
1.145     brouard  4266:     cptcode=modmaxcovj;
1.137     brouard  4267:     /* Ndum[0] = frequency of 0 for model-covariate j, Ndum[1] frequency of 1 etc. */
1.145     brouard  4268:    /*for (i=0; i<=cptcode; i++) {*/
1.192     brouard  4269:     for (k=modmincovj;  k<=modmaxcovj; k++) { /* k=-1 ? 0 and 1*//* For each value k of the modality of model-cov j */
                   4270:       printf("Frequencies of covariates %d ie V%d with value %d: %d\n", j, Tvar[j], k, Ndum[k]);
                   4271:       fprintf(ficlog, "Frequencies of covariates %d ie V%d with value %d: %d\n", j, Tvar[j], k, Ndum[k]);
                   4272:       if( Ndum[k] != 0 ){ /* Counts if nobody answered modality k ie empty modality, we skip it and reorder */
                   4273:        if( k != -1){
                   4274:          ncodemax[j]++;  /* ncodemax[j]= Number of modalities of the j th
                   4275:                             covariate for which somebody answered excluding 
                   4276:                             undefined. Usually 2: 0 and 1. */
                   4277:        }
                   4278:        ncodemaxwundef[j]++; /* ncodemax[j]= Number of modalities of the j th
                   4279:                             covariate for which somebody answered including 
                   4280:                             undefined. Usually 3: -1, 0 and 1. */
1.145     brouard  4281:       }
                   4282:       /* In fact  ncodemax[j]=2 (dichotom. variables only) but it could be more for
                   4283:         historical reasons: 3 if coded 1, 2, 3 and 4 and Ndum[2]=0 */
1.131     brouard  4284:     } /* Ndum[-1] number of undefined modalities */
1.126     brouard  4285: 
1.136     brouard  4286:     /* j is a covariate, n=Tvar[j] of Vn; Fills nbcode */
1.186     brouard  4287:     /* For covariate j, modalities could be 1, 2, 3, 4, 5, 6, 7. 
                   4288:        If Ndum[1]=0, Ndum[2]=0, Ndum[3]= 635, Ndum[4]=0, Ndum[5]=0, Ndum[6]=27, Ndum[7]=125;
1.145     brouard  4289:        modmincovj=3; modmaxcovj = 7;
1.186     brouard  4290:        There are only 3 modalities non empty 3, 6, 7 (or 2 if 27 is too few) : ncodemax[j]=3;
                   4291:        which will be coded 0, 1, 2 which in binary on 2=3-1 digits are 0=00 1=01, 2=10;
                   4292:        defining two dummy variables: variables V1_1 and V1_2.
1.145     brouard  4293:        nbcode[Tvar[j]][ij]=k;
                   4294:        nbcode[Tvar[j]][1]=0;
                   4295:        nbcode[Tvar[j]][2]=1;
                   4296:        nbcode[Tvar[j]][3]=2;
1.197     brouard  4297:        To be continued (not working yet).
1.145     brouard  4298:     */
1.197     brouard  4299:     ij=0; /* ij is similar to i but can jump over null modalities */
                   4300:     for (i=modmincovj; i<=modmaxcovj; i++) { /* i= 1 to 2 for dichotomous, or from 1 to 3 or from -1 or 0 to 1 currently*/
                   4301:        if (Ndum[i] == 0) { /* If nobody responded to this modality k */
1.192     brouard  4302:          break;
                   4303:        }
                   4304:        ij++;
1.197     brouard  4305:        nbcode[Tvar[j]][ij]=i;  /* stores the original value of modality i in an array nbcode, ij modality from 1 to last non-nul modality.*/
1.192     brouard  4306:        cptcode = ij; /* New max modality for covar j */
                   4307:     } /* end of loop on modality i=-1 to 1 or more */
                   4308:       
                   4309:     /*   for (k=0; k<= cptcode; k++) { /\* k=-1 ? k=0 to 1 *\//\* Could be 1 to 4 *\//\* cptcode=modmaxcovj *\/ */
                   4310:     /*         /\*recode from 0 *\/ */
                   4311:     /*                                      k is a modality. If we have model=V1+V1*sex  */
                   4312:     /*                                      then: nbcode[1][1]=0 ; nbcode[1][2]=1; nbcode[2][1]=0 ; nbcode[2][2]=1; */
                   4313:     /*                                   But if some modality were not used, it is recoded from 0 to a newer modmaxcovj=cptcode *\/ */
                   4314:     /*         } */
                   4315:     /*         /\* cptcode = ij; *\/ /\* New max modality for covar j *\/ */
                   4316:     /*         if (ij > ncodemax[j]) { */
                   4317:     /*           printf( " Error ij=%d > ncodemax[%d]=%d\n", ij, j, ncodemax[j]);  */
                   4318:     /*           fprintf(ficlog, " Error ij=%d > ncodemax[%d]=%d\n", ij, j, ncodemax[j]); */
                   4319:     /*           break; */
                   4320:     /*         } */
                   4321:     /*   }  /\* end of loop on modality k *\/ */
1.137     brouard  4322:   } /* end of loop on model-covariate j. nbcode[Tvarj][1]=0 and nbcode[Tvarj][2]=1 sets the value of covariate j*/  
                   4323:   
1.145     brouard  4324:  for (k=-1; k< maxncov; k++) Ndum[k]=0; 
1.137     brouard  4325:   
1.187     brouard  4326:   for (i=1; i<=ncovmodel-2-nagesqr; i++) { /* -2, cste and age and eventually age*age */ 
1.145     brouard  4327:    /* Listing of all covariables in statement model to see if some covariates appear twice. For example, V1 appears twice in V1+V1*V2.*/ 
                   4328:    ij=Tvar[i]; /* Tvar might be -1 if status was unknown */ 
1.187     brouard  4329:    Ndum[ij]++; /* Might be supersed V1 + V1*age */
1.145     brouard  4330:  } 
1.126     brouard  4331: 
1.192     brouard  4332:  ij=0;
1.145     brouard  4333:  for (i=0; i<=  maxncov-1; i++) { /* modmaxcovj is unknown here. Only Ndum[2(V2),3(age*V3), 5(V3*V2) 6(V1*V4) */
                   4334:    /*printf("Ndum[%d]=%d\n",i, Ndum[i]);*/
1.126     brouard  4335:    if((Ndum[i]!=0) && (i<=ncovcol)){
1.192     brouard  4336:      ij++;
1.145     brouard  4337:      /*printf("diff Ndum[%d]=%d\n",i, Ndum[i]);*/
                   4338:      Tvaraff[ij]=i; /*For printing (unclear) */
1.192     brouard  4339:    }else{
                   4340:        /* Tvaraff[ij]=0; */
                   4341:    }
1.126     brouard  4342:  }
1.192     brouard  4343:  /* ij--; */
1.144     brouard  4344:  cptcoveff=ij; /*Number of total covariates*/
1.145     brouard  4345: 
1.126     brouard  4346: }
                   4347: 
1.145     brouard  4348: 
1.126     brouard  4349: /*********** Health Expectancies ****************/
                   4350: 
1.127     brouard  4351: void evsij(double ***eij, double x[], int nlstate, int stepm, int bage, int fage, double **oldm, double **savm, int cij, int estepm,char strstart[] )
1.126     brouard  4352: 
                   4353: {
                   4354:   /* Health expectancies, no variances */
1.164     brouard  4355:   int i, j, nhstepm, hstepm, h, nstepm;
1.126     brouard  4356:   int nhstepma, nstepma; /* Decreasing with age */
                   4357:   double age, agelim, hf;
                   4358:   double ***p3mat;
                   4359:   double eip;
                   4360: 
                   4361:   pstamp(ficreseij);
                   4362:   fprintf(ficreseij,"# (a) Life expectancies by health status at initial age and (b) health expectancies by health status at initial age\n");
                   4363:   fprintf(ficreseij,"# Age");
                   4364:   for(i=1; i<=nlstate;i++){
                   4365:     for(j=1; j<=nlstate;j++){
                   4366:       fprintf(ficreseij," e%1d%1d ",i,j);
                   4367:     }
                   4368:     fprintf(ficreseij," e%1d. ",i);
                   4369:   }
                   4370:   fprintf(ficreseij,"\n");
                   4371: 
                   4372:   
                   4373:   if(estepm < stepm){
                   4374:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   4375:   }
                   4376:   else  hstepm=estepm;   
                   4377:   /* We compute the life expectancy from trapezoids spaced every estepm months
                   4378:    * This is mainly to measure the difference between two models: for example
                   4379:    * if stepm=24 months pijx are given only every 2 years and by summing them
                   4380:    * we are calculating an estimate of the Life Expectancy assuming a linear 
                   4381:    * progression in between and thus overestimating or underestimating according
                   4382:    * to the curvature of the survival function. If, for the same date, we 
                   4383:    * estimate the model with stepm=1 month, we can keep estepm to 24 months
                   4384:    * to compare the new estimate of Life expectancy with the same linear 
                   4385:    * hypothesis. A more precise result, taking into account a more precise
                   4386:    * curvature will be obtained if estepm is as small as stepm. */
                   4387: 
                   4388:   /* For example we decided to compute the life expectancy with the smallest unit */
                   4389:   /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
                   4390:      nhstepm is the number of hstepm from age to agelim 
                   4391:      nstepm is the number of stepm from age to agelin. 
                   4392:      Look at hpijx to understand the reason of that which relies in memory size
                   4393:      and note for a fixed period like estepm months */
                   4394:   /* We decided (b) to get a life expectancy respecting the most precise curvature of the
                   4395:      survival function given by stepm (the optimization length). Unfortunately it
                   4396:      means that if the survival funtion is printed only each two years of age and if
                   4397:      you sum them up and add 1 year (area under the trapezoids) you won't get the same 
                   4398:      results. So we changed our mind and took the option of the best precision.
                   4399:   */
                   4400:   hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
                   4401: 
                   4402:   agelim=AGESUP;
                   4403:   /* If stepm=6 months */
                   4404:     /* Computed by stepm unit matrices, product of hstepm matrices, stored
                   4405:        in an array of nhstepm length: nhstepm=10, hstepm=4, stepm=6 months */
                   4406:     
                   4407: /* nhstepm age range expressed in number of stepm */
                   4408:   nstepm=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
                   4409:   /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   4410:   /* if (stepm >= YEARM) hstepm=1;*/
                   4411:   nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
                   4412:   p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   4413: 
                   4414:   for (age=bage; age<=fage; age ++){ 
                   4415:     nstepma=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
                   4416:     /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   4417:     /* if (stepm >= YEARM) hstepm=1;*/
                   4418:     nhstepma = nstepma/hstepm;/* Expressed in hstepm, typically nhstepma=40/4=10 */
                   4419: 
                   4420:     /* If stepm=6 months */
                   4421:     /* Computed by stepm unit matrices, product of hstepma matrices, stored
                   4422:        in an array of nhstepma length: nhstepma=10, hstepm=4, stepm=6 months */
                   4423:     
                   4424:     hpxij(p3mat,nhstepma,age,hstepm,x,nlstate,stepm,oldm, savm, cij);  
                   4425:     
                   4426:     hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
                   4427:     
                   4428:     printf("%d|",(int)age);fflush(stdout);
                   4429:     fprintf(ficlog,"%d|",(int)age);fflush(ficlog);
                   4430:     
                   4431:     /* Computing expectancies */
                   4432:     for(i=1; i<=nlstate;i++)
                   4433:       for(j=1; j<=nlstate;j++)
                   4434:        for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){
                   4435:          eij[i][j][(int)age] += (p3mat[i][j][h]+p3mat[i][j][h+1])/2.0*hf;
                   4436:          
                   4437:          /* 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]);*/
                   4438: 
                   4439:        }
                   4440: 
                   4441:     fprintf(ficreseij,"%3.0f",age );
                   4442:     for(i=1; i<=nlstate;i++){
                   4443:       eip=0;
                   4444:       for(j=1; j<=nlstate;j++){
                   4445:        eip +=eij[i][j][(int)age];
                   4446:        fprintf(ficreseij,"%9.4f", eij[i][j][(int)age] );
                   4447:       }
                   4448:       fprintf(ficreseij,"%9.4f", eip );
                   4449:     }
                   4450:     fprintf(ficreseij,"\n");
                   4451:     
                   4452:   }
                   4453:   free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   4454:   printf("\n");
                   4455:   fprintf(ficlog,"\n");
                   4456:   
                   4457: }
                   4458: 
1.127     brouard  4459: 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[] )
1.126     brouard  4460: 
                   4461: {
                   4462:   /* Covariances of health expectancies eij and of total life expectancies according
                   4463:    to initial status i, ei. .
                   4464:   */
                   4465:   int i, j, nhstepm, hstepm, h, nstepm, k, cptj, cptj2, i2, j2, ij, ji;
                   4466:   int nhstepma, nstepma; /* Decreasing with age */
                   4467:   double age, agelim, hf;
                   4468:   double ***p3matp, ***p3matm, ***varhe;
                   4469:   double **dnewm,**doldm;
                   4470:   double *xp, *xm;
                   4471:   double **gp, **gm;
                   4472:   double ***gradg, ***trgradg;
                   4473:   int theta;
                   4474: 
                   4475:   double eip, vip;
                   4476: 
                   4477:   varhe=ma3x(1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int) fage);
                   4478:   xp=vector(1,npar);
                   4479:   xm=vector(1,npar);
                   4480:   dnewm=matrix(1,nlstate*nlstate,1,npar);
                   4481:   doldm=matrix(1,nlstate*nlstate,1,nlstate*nlstate);
                   4482:   
                   4483:   pstamp(ficresstdeij);
                   4484:   fprintf(ficresstdeij,"# Health expectancies with standard errors\n");
                   4485:   fprintf(ficresstdeij,"# Age");
                   4486:   for(i=1; i<=nlstate;i++){
                   4487:     for(j=1; j<=nlstate;j++)
                   4488:       fprintf(ficresstdeij," e%1d%1d (SE)",i,j);
                   4489:     fprintf(ficresstdeij," e%1d. ",i);
                   4490:   }
                   4491:   fprintf(ficresstdeij,"\n");
                   4492: 
                   4493:   pstamp(ficrescveij);
                   4494:   fprintf(ficrescveij,"# Subdiagonal matrix of covariances of health expectancies by age: cov(eij,ekl)\n");
                   4495:   fprintf(ficrescveij,"# Age");
                   4496:   for(i=1; i<=nlstate;i++)
                   4497:     for(j=1; j<=nlstate;j++){
                   4498:       cptj= (j-1)*nlstate+i;
                   4499:       for(i2=1; i2<=nlstate;i2++)
                   4500:        for(j2=1; j2<=nlstate;j2++){
                   4501:          cptj2= (j2-1)*nlstate+i2;
                   4502:          if(cptj2 <= cptj)
                   4503:            fprintf(ficrescveij,"  %1d%1d,%1d%1d",i,j,i2,j2);
                   4504:        }
                   4505:     }
                   4506:   fprintf(ficrescveij,"\n");
                   4507:   
                   4508:   if(estepm < stepm){
                   4509:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   4510:   }
                   4511:   else  hstepm=estepm;   
                   4512:   /* We compute the life expectancy from trapezoids spaced every estepm months
                   4513:    * This is mainly to measure the difference between two models: for example
                   4514:    * if stepm=24 months pijx are given only every 2 years and by summing them
                   4515:    * we are calculating an estimate of the Life Expectancy assuming a linear 
                   4516:    * progression in between and thus overestimating or underestimating according
                   4517:    * to the curvature of the survival function. If, for the same date, we 
                   4518:    * estimate the model with stepm=1 month, we can keep estepm to 24 months
                   4519:    * to compare the new estimate of Life expectancy with the same linear 
                   4520:    * hypothesis. A more precise result, taking into account a more precise
                   4521:    * curvature will be obtained if estepm is as small as stepm. */
                   4522: 
                   4523:   /* For example we decided to compute the life expectancy with the smallest unit */
                   4524:   /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
                   4525:      nhstepm is the number of hstepm from age to agelim 
                   4526:      nstepm is the number of stepm from age to agelin. 
                   4527:      Look at hpijx to understand the reason of that which relies in memory size
                   4528:      and note for a fixed period like estepm months */
                   4529:   /* We decided (b) to get a life expectancy respecting the most precise curvature of the
                   4530:      survival function given by stepm (the optimization length). Unfortunately it
                   4531:      means that if the survival funtion is printed only each two years of age and if
                   4532:      you sum them up and add 1 year (area under the trapezoids) you won't get the same 
                   4533:      results. So we changed our mind and took the option of the best precision.
                   4534:   */
                   4535:   hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
                   4536: 
                   4537:   /* If stepm=6 months */
                   4538:   /* nhstepm age range expressed in number of stepm */
                   4539:   agelim=AGESUP;
                   4540:   nstepm=(int) rint((agelim-bage)*YEARM/stepm); 
                   4541:   /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   4542:   /* if (stepm >= YEARM) hstepm=1;*/
                   4543:   nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
                   4544:   
                   4545:   p3matp=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   4546:   p3matm=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   4547:   gradg=ma3x(0,nhstepm,1,npar,1,nlstate*nlstate);
                   4548:   trgradg =ma3x(0,nhstepm,1,nlstate*nlstate,1,npar);
                   4549:   gp=matrix(0,nhstepm,1,nlstate*nlstate);
                   4550:   gm=matrix(0,nhstepm,1,nlstate*nlstate);
                   4551: 
                   4552:   for (age=bage; age<=fage; age ++){ 
                   4553:     nstepma=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
                   4554:     /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   4555:     /* if (stepm >= YEARM) hstepm=1;*/
                   4556:     nhstepma = nstepma/hstepm;/* Expressed in hstepm, typically nhstepma=40/4=10 */
1.218   ! brouard  4557:                
1.126     brouard  4558:     /* If stepm=6 months */
                   4559:     /* Computed by stepm unit matrices, product of hstepma matrices, stored
                   4560:        in an array of nhstepma length: nhstepma=10, hstepm=4, stepm=6 months */
                   4561:     
                   4562:     hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
1.218   ! brouard  4563:                
1.126     brouard  4564:     /* Computing  Variances of health expectancies */
                   4565:     /* Gradient is computed with plus gp and minus gm. Code is duplicated in order to
                   4566:        decrease memory allocation */
                   4567:     for(theta=1; theta <=npar; theta++){
                   4568:       for(i=1; i<=npar; i++){ 
1.218   ! brouard  4569:                                xp[i] = x[i] + (i==theta ?delti[theta]:0);
        !          4570:                                xm[i] = x[i] - (i==theta ?delti[theta]:0);
1.126     brouard  4571:       }
                   4572:       hpxij(p3matp,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, cij);  
                   4573:       hpxij(p3matm,nhstepm,age,hstepm,xm,nlstate,stepm,oldm,savm, cij);  
1.218   ! brouard  4574:                        
1.126     brouard  4575:       for(j=1; j<= nlstate; j++){
1.218   ! brouard  4576:                                for(i=1; i<=nlstate; i++){
        !          4577:                                        for(h=0; h<=nhstepm-1; h++){
        !          4578:                                                gp[h][(j-1)*nlstate + i] = (p3matp[i][j][h]+p3matp[i][j][h+1])/2.;
        !          4579:                                                gm[h][(j-1)*nlstate + i] = (p3matm[i][j][h]+p3matm[i][j][h+1])/2.;
        !          4580:                                        }
        !          4581:                                }
1.126     brouard  4582:       }
1.218   ! brouard  4583:                        
1.126     brouard  4584:       for(ij=1; ij<= nlstate*nlstate; ij++)
1.218   ! brouard  4585:                                for(h=0; h<=nhstepm-1; h++){
        !          4586:                                        gradg[h][theta][ij]= (gp[h][ij]-gm[h][ij])/2./delti[theta];
        !          4587:                                }
1.126     brouard  4588:     }/* End theta */
                   4589:     
                   4590:     
                   4591:     for(h=0; h<=nhstepm-1; h++)
                   4592:       for(j=1; j<=nlstate*nlstate;j++)
1.218   ! brouard  4593:                                for(theta=1; theta <=npar; theta++)
        !          4594:                                        trgradg[h][j][theta]=gradg[h][theta][j];
1.126     brouard  4595:     
1.218   ! brouard  4596:                
        !          4597:                for(ij=1;ij<=nlstate*nlstate;ij++)
1.126     brouard  4598:       for(ji=1;ji<=nlstate*nlstate;ji++)
1.218   ! brouard  4599:                                varhe[ij][ji][(int)age] =0.;
        !          4600:                
        !          4601:                printf("%d|",(int)age);fflush(stdout);
        !          4602:                fprintf(ficlog,"%d|",(int)age);fflush(ficlog);
        !          4603:                for(h=0;h<=nhstepm-1;h++){
1.126     brouard  4604:       for(k=0;k<=nhstepm-1;k++){
1.218   ! brouard  4605:                                matprod2(dnewm,trgradg[h],1,nlstate*nlstate,1,npar,1,npar,matcov);
        !          4606:                                matprod2(doldm,dnewm,1,nlstate*nlstate,1,npar,1,nlstate*nlstate,gradg[k]);
        !          4607:                                for(ij=1;ij<=nlstate*nlstate;ij++)
        !          4608:                                        for(ji=1;ji<=nlstate*nlstate;ji++)
        !          4609:                                                varhe[ij][ji][(int)age] += doldm[ij][ji]*hf*hf;
1.126     brouard  4610:       }
                   4611:     }
1.218   ! brouard  4612:                
1.126     brouard  4613:     /* Computing expectancies */
                   4614:     hpxij(p3matm,nhstepm,age,hstepm,x,nlstate,stepm,oldm, savm, cij);  
                   4615:     for(i=1; i<=nlstate;i++)
                   4616:       for(j=1; j<=nlstate;j++)
1.218   ! brouard  4617:                                for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){
        !          4618:                                        eij[i][j][(int)age] += (p3matm[i][j][h]+p3matm[i][j][h+1])/2.0*hf;
        !          4619:                                        
        !          4620:                                        /* 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]);*/
        !          4621:                                        
        !          4622:                                }
        !          4623:                
1.126     brouard  4624:     fprintf(ficresstdeij,"%3.0f",age );
                   4625:     for(i=1; i<=nlstate;i++){
                   4626:       eip=0.;
                   4627:       vip=0.;
                   4628:       for(j=1; j<=nlstate;j++){
1.218   ! brouard  4629:                                eip += eij[i][j][(int)age];
        !          4630:                                for(k=1; k<=nlstate;k++) /* Sum on j and k of cov(eij,eik) */
        !          4631:                                        vip += varhe[(j-1)*nlstate+i][(k-1)*nlstate+i][(int)age];
        !          4632:                                fprintf(ficresstdeij," %9.4f (%.4f)", eij[i][j][(int)age], sqrt(varhe[(j-1)*nlstate+i][(j-1)*nlstate+i][(int)age]) );
1.126     brouard  4633:       }
                   4634:       fprintf(ficresstdeij," %9.4f (%.4f)", eip, sqrt(vip));
                   4635:     }
                   4636:     fprintf(ficresstdeij,"\n");
1.218   ! brouard  4637:                
1.126     brouard  4638:     fprintf(ficrescveij,"%3.0f",age );
                   4639:     for(i=1; i<=nlstate;i++)
                   4640:       for(j=1; j<=nlstate;j++){
1.218   ! brouard  4641:                                cptj= (j-1)*nlstate+i;
        !          4642:                                for(i2=1; i2<=nlstate;i2++)
        !          4643:                                        for(j2=1; j2<=nlstate;j2++){
        !          4644:                                                cptj2= (j2-1)*nlstate+i2;
        !          4645:                                                if(cptj2 <= cptj)
        !          4646:                                                        fprintf(ficrescveij," %.4f", varhe[cptj][cptj2][(int)age]);
        !          4647:                                        }
1.126     brouard  4648:       }
                   4649:     fprintf(ficrescveij,"\n");
1.218   ! brouard  4650:                
1.126     brouard  4651:   }
                   4652:   free_matrix(gm,0,nhstepm,1,nlstate*nlstate);
                   4653:   free_matrix(gp,0,nhstepm,1,nlstate*nlstate);
                   4654:   free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate*nlstate);
                   4655:   free_ma3x(trgradg,0,nhstepm,1,nlstate*nlstate,1,npar);
                   4656:   free_ma3x(p3matm,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   4657:   free_ma3x(p3matp,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   4658:   printf("\n");
                   4659:   fprintf(ficlog,"\n");
1.218   ! brouard  4660:        
1.126     brouard  4661:   free_vector(xm,1,npar);
                   4662:   free_vector(xp,1,npar);
                   4663:   free_matrix(dnewm,1,nlstate*nlstate,1,npar);
                   4664:   free_matrix(doldm,1,nlstate*nlstate,1,nlstate*nlstate);
                   4665:   free_ma3x(varhe,1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int)fage);
                   4666: }
1.218   ! brouard  4667:  
1.126     brouard  4668: /************ Variance ******************/
1.209     brouard  4669:  void varevsij(char optionfilefiname[], double ***vareij, double **matcov, double x[], double delti[], int nlstate, int stepm, double bage, double fage, double **oldm, double **savm, double **prlim, double ftolpl, int *ncvyearp, int ij, int estepm, int cptcov, int cptcod, int popbased, int mobilav, char strstart[])
1.218   ! brouard  4670:  {
        !          4671:    /* Variance of health expectancies */
        !          4672:    /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);*/
        !          4673:    /* double **newm;*/
        !          4674:    /* int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav)*/
        !          4675:   
        !          4676:    /* int movingaverage(); */
        !          4677:    double **dnewm,**doldm;
        !          4678:    double **dnewmp,**doldmp;
        !          4679:    int i, j, nhstepm, hstepm, h, nstepm ;
        !          4680:    int k;
        !          4681:    double *xp;
        !          4682:    double **gp, **gm;  /* for var eij */
        !          4683:    double ***gradg, ***trgradg; /*for var eij */
        !          4684:    double **gradgp, **trgradgp; /* for var p point j */
        !          4685:    double *gpp, *gmp; /* for var p point j */
        !          4686:    double **varppt; /* for var p point j nlstate to nlstate+ndeath */
        !          4687:    double ***p3mat;
        !          4688:    double age,agelim, hf;
        !          4689:    /* double ***mobaverage; */
        !          4690:    int theta;
        !          4691:    char digit[4];
        !          4692:    char digitp[25];
        !          4693: 
        !          4694:    char fileresprobmorprev[FILENAMELENGTH];
        !          4695: 
        !          4696:    if(popbased==1){
        !          4697:      if(mobilav!=0)
        !          4698:        strcpy(digitp,"-POPULBASED-MOBILAV_");
        !          4699:      else strcpy(digitp,"-POPULBASED-NOMOBIL_");
        !          4700:    }
        !          4701:    else 
        !          4702:      strcpy(digitp,"-STABLBASED_");
1.126     brouard  4703: 
1.218   ! brouard  4704:    /* if (mobilav!=0) { */
        !          4705:    /*   mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
        !          4706:    /*   if (movingaverage(probs, bage, fage, mobaverage,mobilav)!=0){ */
        !          4707:    /*     fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav); */
        !          4708:    /*     printf(" Error in movingaverage mobilav=%d\n",mobilav); */
        !          4709:    /*   } */
        !          4710:    /* } */
        !          4711: 
        !          4712:    strcpy(fileresprobmorprev,"PRMORPREV-"); 
        !          4713:    sprintf(digit,"%-d",ij);
        !          4714:    /*printf("DIGIT=%s, ij=%d ijr=%-d|\n",digit, ij,ij);*/
        !          4715:    strcat(fileresprobmorprev,digit); /* Tvar to be done */
        !          4716:    strcat(fileresprobmorprev,digitp); /* Popbased or not, mobilav or not */
        !          4717:    strcat(fileresprobmorprev,fileresu);
        !          4718:    if((ficresprobmorprev=fopen(fileresprobmorprev,"w"))==NULL) {
        !          4719:      printf("Problem with resultfile: %s\n", fileresprobmorprev);
        !          4720:      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobmorprev);
        !          4721:    }
        !          4722:    printf("Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
        !          4723:    fprintf(ficlog,"Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
        !          4724:    pstamp(ficresprobmorprev);
        !          4725:    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);
        !          4726:    fprintf(ficresprobmorprev,"# Age cov=%-d",ij);
        !          4727:    for(j=nlstate+1; j<=(nlstate+ndeath);j++){
        !          4728:      fprintf(ficresprobmorprev," p.%-d SE",j);
        !          4729:      for(i=1; i<=nlstate;i++)
        !          4730:        fprintf(ficresprobmorprev," w%1d p%-d%-d",i,i,j);
        !          4731:    }  
        !          4732:    fprintf(ficresprobmorprev,"\n");
        !          4733:   
        !          4734:    fprintf(ficgp,"\n# Routine varevsij");
        !          4735:    fprintf(ficgp,"\nunset title \n");
        !          4736:    /* fprintf(fichtm, "#Local time at start: %s", strstart);*/
        !          4737:    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");
        !          4738:    fprintf(fichtm,"\n<br>%s  <br>\n",digitp);
        !          4739:    /*   } */
        !          4740:    varppt = matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
        !          4741:    pstamp(ficresvij);
        !          4742:    fprintf(ficresvij,"# Variance and covariance of health expectancies e.j \n#  (weighted average of eij where weights are ");
        !          4743:    if(popbased==1)
        !          4744:      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);
        !          4745:    else
        !          4746:      fprintf(ficresvij,"the age specific period (stable) prevalences in each health state \n");
        !          4747:    fprintf(ficresvij,"# Age");
        !          4748:    for(i=1; i<=nlstate;i++)
        !          4749:      for(j=1; j<=nlstate;j++)
        !          4750:        fprintf(ficresvij," Cov(e.%1d, e.%1d)",i,j);
        !          4751:    fprintf(ficresvij,"\n");
        !          4752: 
        !          4753:    xp=vector(1,npar);
        !          4754:    dnewm=matrix(1,nlstate,1,npar);
        !          4755:    doldm=matrix(1,nlstate,1,nlstate);
        !          4756:    dnewmp= matrix(nlstate+1,nlstate+ndeath,1,npar);
        !          4757:    doldmp= matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
        !          4758: 
        !          4759:    gradgp=matrix(1,npar,nlstate+1,nlstate+ndeath);
        !          4760:    gpp=vector(nlstate+1,nlstate+ndeath);
        !          4761:    gmp=vector(nlstate+1,nlstate+ndeath);
        !          4762:    trgradgp =matrix(nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
1.126     brouard  4763:   
1.218   ! brouard  4764:    if(estepm < stepm){
        !          4765:      printf ("Problem %d lower than %d\n",estepm, stepm);
        !          4766:    }
        !          4767:    else  hstepm=estepm;   
        !          4768:    /* For example we decided to compute the life expectancy with the smallest unit */
        !          4769:    /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
        !          4770:       nhstepm is the number of hstepm from age to agelim 
        !          4771:       nstepm is the number of stepm from age to agelim. 
        !          4772:       Look at function hpijx to understand why because of memory size limitations, 
        !          4773:       we decided (b) to get a life expectancy respecting the most precise curvature of the
        !          4774:       survival function given by stepm (the optimization length). Unfortunately it
        !          4775:       means that if the survival funtion is printed every two years of age and if
        !          4776:       you sum them up and add 1 year (area under the trapezoids) you won't get the same 
        !          4777:       results. So we changed our mind and took the option of the best precision.
        !          4778:    */
        !          4779:    hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
        !          4780:    agelim = AGESUP;
        !          4781:    for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
        !          4782:      nstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
        !          4783:      nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
        !          4784:      p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
        !          4785:      gradg=ma3x(0,nhstepm,1,npar,1,nlstate);
        !          4786:      gp=matrix(0,nhstepm,1,nlstate);
        !          4787:      gm=matrix(0,nhstepm,1,nlstate);
        !          4788:                
        !          4789:                
        !          4790:      for(theta=1; theta <=npar; theta++){
        !          4791:        for(i=1; i<=npar; i++){ /* Computes gradient x + delta*/
        !          4792:         xp[i] = x[i] + (i==theta ?delti[theta]:0);
        !          4793:        }
        !          4794:                        
        !          4795:        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij);
        !          4796:                        
        !          4797:        if (popbased==1) {
        !          4798:         if(mobilav ==0){
        !          4799:           for(i=1; i<=nlstate;i++)
        !          4800:             prlim[i][i]=probs[(int)age][i][ij];
        !          4801:         }else{ /* mobilav */ 
        !          4802:           for(i=1; i<=nlstate;i++)
        !          4803:             prlim[i][i]=mobaverage[(int)age][i][ij];
        !          4804:         }
        !          4805:        }
        !          4806:                        
        !          4807:        hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);  /* Returns p3mat[i][j][h] for h=1 to nhstepm */
        !          4808:        for(j=1; j<= nlstate; j++){
        !          4809:         for(h=0; h<=nhstepm; h++){
        !          4810:           for(i=1, gp[h][j]=0.;i<=nlstate;i++)
        !          4811:             gp[h][j] += prlim[i][i]*p3mat[i][j][h];
        !          4812:         }
        !          4813:        }
        !          4814:        /* Next for computing probability of death (h=1 means
        !          4815:          computed over hstepm matrices product = hstepm*stepm months) 
        !          4816:          as a weighted average of prlim.
        !          4817:        */
        !          4818:        for(j=nlstate+1;j<=nlstate+ndeath;j++){
        !          4819:         for(i=1,gpp[j]=0.; i<= nlstate; i++)
        !          4820:           gpp[j] += prlim[i][i]*p3mat[i][j][1];
        !          4821:        }    
        !          4822:        /* end probability of death */
        !          4823:                        
        !          4824:        for(i=1; i<=npar; i++) /* Computes gradient x - delta */
        !          4825:         xp[i] = x[i] - (i==theta ?delti[theta]:0);
        !          4826:                        
        !          4827:        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp, ij);
        !          4828:                        
        !          4829:        if (popbased==1) {
        !          4830:         if(mobilav ==0){
        !          4831:           for(i=1; i<=nlstate;i++)
        !          4832:             prlim[i][i]=probs[(int)age][i][ij];
        !          4833:         }else{ /* mobilav */ 
        !          4834:           for(i=1; i<=nlstate;i++)
        !          4835:             prlim[i][i]=mobaverage[(int)age][i][ij];
        !          4836:         }
        !          4837:        }
        !          4838:                        
        !          4839:        hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);  
        !          4840:                        
        !          4841:        for(j=1; j<= nlstate; j++){  /* Sum of wi * eij = e.j */
        !          4842:         for(h=0; h<=nhstepm; h++){
        !          4843:           for(i=1, gm[h][j]=0.;i<=nlstate;i++)
        !          4844:             gm[h][j] += prlim[i][i]*p3mat[i][j][h];
        !          4845:         }
        !          4846:        }
        !          4847:        /* This for computing probability of death (h=1 means
        !          4848:          computed over hstepm matrices product = hstepm*stepm months) 
        !          4849:          as a weighted average of prlim.
        !          4850:        */
        !          4851:        for(j=nlstate+1;j<=nlstate+ndeath;j++){
        !          4852:         for(i=1,gmp[j]=0.; i<= nlstate; i++)
        !          4853:           gmp[j] += prlim[i][i]*p3mat[i][j][1];
        !          4854:        }    
        !          4855:        /* end probability of death */
        !          4856:                        
        !          4857:        for(j=1; j<= nlstate; j++) /* vareij */
        !          4858:         for(h=0; h<=nhstepm; h++){
        !          4859:           gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta];
        !          4860:         }
        !          4861:                        
        !          4862:        for(j=nlstate+1; j<= nlstate+ndeath; j++){ /* var mu */
        !          4863:         gradgp[theta][j]= (gpp[j]-gmp[j])/2./delti[theta];
        !          4864:        }
        !          4865:                        
        !          4866:      } /* End theta */
        !          4867:                
        !          4868:      trgradg =ma3x(0,nhstepm,1,nlstate,1,npar); /* veij */
        !          4869:                
        !          4870:      for(h=0; h<=nhstepm; h++) /* veij */
        !          4871:        for(j=1; j<=nlstate;j++)
        !          4872:         for(theta=1; theta <=npar; theta++)
        !          4873:           trgradg[h][j][theta]=gradg[h][theta][j];
        !          4874:                
        !          4875:      for(j=nlstate+1; j<=nlstate+ndeath;j++) /* mu */
        !          4876:        for(theta=1; theta <=npar; theta++)
        !          4877:         trgradgp[j][theta]=gradgp[theta][j];
        !          4878:                
        !          4879:                
        !          4880:      hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
        !          4881:      for(i=1;i<=nlstate;i++)
        !          4882:        for(j=1;j<=nlstate;j++)
        !          4883:         vareij[i][j][(int)age] =0.;
        !          4884:                
        !          4885:      for(h=0;h<=nhstepm;h++){
        !          4886:        for(k=0;k<=nhstepm;k++){
        !          4887:         matprod2(dnewm,trgradg[h],1,nlstate,1,npar,1,npar,matcov);
        !          4888:         matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg[k]);
        !          4889:         for(i=1;i<=nlstate;i++)
        !          4890:           for(j=1;j<=nlstate;j++)
        !          4891:             vareij[i][j][(int)age] += doldm[i][j]*hf*hf;
        !          4892:        }
        !          4893:      }
        !          4894:                
        !          4895:      /* pptj */
        !          4896:      matprod2(dnewmp,trgradgp,nlstate+1,nlstate+ndeath,1,npar,1,npar,matcov);
        !          4897:      matprod2(doldmp,dnewmp,nlstate+1,nlstate+ndeath,1,npar,nlstate+1,nlstate+ndeath,gradgp);
        !          4898:      for(j=nlstate+1;j<=nlstate+ndeath;j++)
        !          4899:        for(i=nlstate+1;i<=nlstate+ndeath;i++)
        !          4900:         varppt[j][i]=doldmp[j][i];
        !          4901:      /* end ppptj */
        !          4902:      /*  x centered again */
        !          4903:                
        !          4904:      prevalim(prlim,nlstate,x,age,oldm,savm,ftolpl,ncvyearp,ij);
        !          4905:                
        !          4906:      if (popbased==1) {
        !          4907:        if(mobilav ==0){
        !          4908:         for(i=1; i<=nlstate;i++)
        !          4909:           prlim[i][i]=probs[(int)age][i][ij];
        !          4910:        }else{ /* mobilav */ 
        !          4911:         for(i=1; i<=nlstate;i++)
        !          4912:           prlim[i][i]=mobaverage[(int)age][i][ij];
        !          4913:        }
        !          4914:      }
        !          4915:                
        !          4916:      /* This for computing probability of death (h=1 means
        !          4917:        computed over hstepm (estepm) matrices product = hstepm*stepm months) 
        !          4918:        as a weighted average of prlim.
        !          4919:      */
        !          4920:      hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm,savm, ij);  
        !          4921:      for(j=nlstate+1;j<=nlstate+ndeath;j++){
        !          4922:        for(i=1,gmp[j]=0.;i<= nlstate; i++) 
        !          4923:         gmp[j] += prlim[i][i]*p3mat[i][j][1]; 
        !          4924:      }    
        !          4925:      /* end probability of death */
        !          4926:                
        !          4927:      fprintf(ficresprobmorprev,"%3d %d ",(int) age, ij);
        !          4928:      for(j=nlstate+1; j<=(nlstate+ndeath);j++){
        !          4929:        fprintf(ficresprobmorprev," %11.3e %11.3e",gmp[j], sqrt(varppt[j][j]));
        !          4930:        for(i=1; i<=nlstate;i++){
        !          4931:         fprintf(ficresprobmorprev," %11.3e %11.3e ",prlim[i][i],p3mat[i][j][1]);
        !          4932:        }
        !          4933:      } 
        !          4934:      fprintf(ficresprobmorprev,"\n");
        !          4935:                
        !          4936:      fprintf(ficresvij,"%.0f ",age );
        !          4937:      for(i=1; i<=nlstate;i++)
        !          4938:        for(j=1; j<=nlstate;j++){
        !          4939:         fprintf(ficresvij," %.4f", vareij[i][j][(int)age]);
        !          4940:        }
        !          4941:      fprintf(ficresvij,"\n");
        !          4942:      free_matrix(gp,0,nhstepm,1,nlstate);
        !          4943:      free_matrix(gm,0,nhstepm,1,nlstate);
        !          4944:      free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate);
        !          4945:      free_ma3x(trgradg,0,nhstepm,1,nlstate,1,npar);
        !          4946:      free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
        !          4947:    } /* End age */
        !          4948:    free_vector(gpp,nlstate+1,nlstate+ndeath);
        !          4949:    free_vector(gmp,nlstate+1,nlstate+ndeath);
        !          4950:    free_matrix(gradgp,1,npar,nlstate+1,nlstate+ndeath);
        !          4951:    free_matrix(trgradgp,nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
        !          4952:    /* fprintf(ficgp,"\nunset parametric;unset label; set ter png small size 320, 240"); */
        !          4953:    fprintf(ficgp,"\nunset parametric;unset label; set ter svg size 640, 480");
        !          4954:    /* for(j=nlstate+1; j<= nlstate+ndeath; j++){ *//* Only the first actually */
        !          4955:    fprintf(ficgp,"\n set log y; unset log x;set xlabel \"Age\"; set ylabel \"Force of mortality (year-1)\";");
        !          4956:    fprintf(ficgp,"\nset out \"%s%s.svg\";",subdirf3(optionfilefiname,"VARMUPTJGR-",digitp),digit);
        !          4957:    /*   fprintf(ficgp,"\n plot \"%s\"  u 1:($3*%6.3f) not w l 1 ",fileresprobmorprev,YEARM/estepm); */
        !          4958:    /*   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)*%6.3f) t \"95\%% interval\" w l 2 ",fileresprobmorprev,YEARM/estepm); */
        !          4959:    /*   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)*%6.3f) not w l 2 ",fileresprobmorprev,YEARM/estepm); */
        !          4960:    fprintf(ficgp,"\n plot \"%s\"  u 1:($3) not w l lt 1 ",subdirf(fileresprobmorprev));
        !          4961:    fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)) t \"95%% interval\" w l lt 2 ",subdirf(fileresprobmorprev));
        !          4962:    fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)) not w l lt 2 ",subdirf(fileresprobmorprev));
        !          4963:    fprintf(fichtm,"\n<br> File (multiple files are possible if covariates are present): <A href=\"%s\">%s</a>\n",subdirf(fileresprobmorprev),subdirf(fileresprobmorprev));
        !          4964:    fprintf(fichtm,"\n<br> Probability is computed over estepm=%d months. <br> <img src=\"%s%s.svg\"> <br>\n", estepm,subdirf3(optionfilefiname,"VARMUPTJGR-",digitp),digit);
        !          4965:    /*  fprintf(fichtm,"\n<br> Probability is computed over estepm=%d months and then divided by estepm and multiplied by %.0f in order to have the probability to die over a year <br> <img src=\"varmuptjgr%s%s.svg\"> <br>\n", stepm,YEARM,digitp,digit);
1.126     brouard  4966:     */
1.218   ! brouard  4967:    /*   fprintf(ficgp,"\nset out \"varmuptjgr%s%s%s.svg\";replot;",digitp,optionfilefiname,digit); */
        !          4968:    fprintf(ficgp,"\nset out;\nset out \"%s%s.svg\";replot;set out;\n",subdirf3(optionfilefiname,"VARMUPTJGR-",digitp),digit);
1.126     brouard  4969: 
1.218   ! brouard  4970:    free_vector(xp,1,npar);
        !          4971:    free_matrix(doldm,1,nlstate,1,nlstate);
        !          4972:    free_matrix(dnewm,1,nlstate,1,npar);
        !          4973:    free_matrix(doldmp,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
        !          4974:    free_matrix(dnewmp,nlstate+1,nlstate+ndeath,1,npar);
        !          4975:    free_matrix(varppt,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
        !          4976:    /* if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
        !          4977:    fclose(ficresprobmorprev);
        !          4978:    fflush(ficgp);
        !          4979:    fflush(fichtm); 
        !          4980:  }  /* end varevsij */
1.126     brouard  4981: 
                   4982: /************ Variance of prevlim ******************/
1.209     brouard  4983:  void varprevlim(char fileres[], double **varpl, double **matcov, double x[], double delti[], int nlstate, int stepm, double bage, double fage, double **oldm, double **savm, double **prlim, double ftolpl, int *ncvyearp, int ij, char strstart[])
1.126     brouard  4984: {
1.205     brouard  4985:   /* Variance of prevalence limit  for each state ij using current parameters x[] and estimates of neighbourhood give by delti*/
1.126     brouard  4986:   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double **savm,double ftolpl);*/
1.164     brouard  4987: 
1.126     brouard  4988:   double **dnewm,**doldm;
                   4989:   int i, j, nhstepm, hstepm;
                   4990:   double *xp;
                   4991:   double *gp, *gm;
                   4992:   double **gradg, **trgradg;
1.208     brouard  4993:   double **mgm, **mgp;
1.126     brouard  4994:   double age,agelim;
                   4995:   int theta;
                   4996:   
                   4997:   pstamp(ficresvpl);
                   4998:   fprintf(ficresvpl,"# Standard deviation of period (stable) prevalences \n");
                   4999:   fprintf(ficresvpl,"# Age");
                   5000:   for(i=1; i<=nlstate;i++)
                   5001:       fprintf(ficresvpl," %1d-%1d",i,i);
                   5002:   fprintf(ficresvpl,"\n");
                   5003: 
                   5004:   xp=vector(1,npar);
                   5005:   dnewm=matrix(1,nlstate,1,npar);
                   5006:   doldm=matrix(1,nlstate,1,nlstate);
                   5007:   
                   5008:   hstepm=1*YEARM; /* Every year of age */
                   5009:   hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */ 
                   5010:   agelim = AGESUP;
                   5011:   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
                   5012:     nhstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
                   5013:     if (stepm >= YEARM) hstepm=1;
                   5014:     nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
                   5015:     gradg=matrix(1,npar,1,nlstate);
1.208     brouard  5016:     mgp=matrix(1,npar,1,nlstate);
                   5017:     mgm=matrix(1,npar,1,nlstate);
1.126     brouard  5018:     gp=vector(1,nlstate);
                   5019:     gm=vector(1,nlstate);
                   5020: 
                   5021:     for(theta=1; theta <=npar; theta++){
                   5022:       for(i=1; i<=npar; i++){ /* Computes gradient */
                   5023:        xp[i] = x[i] + (i==theta ?delti[theta]:0);
                   5024:       }
1.209     brouard  5025:       if((int)age==79 ||(int)age== 80 ||(int)age== 81 )
                   5026:        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij);
                   5027:       else
                   5028:        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij);
1.208     brouard  5029:       for(i=1;i<=nlstate;i++){
1.126     brouard  5030:        gp[i] = prlim[i][i];
1.208     brouard  5031:        mgp[theta][i] = prlim[i][i];
                   5032:       }
1.126     brouard  5033:       for(i=1; i<=npar; i++) /* Computes gradient */
                   5034:        xp[i] = x[i] - (i==theta ?delti[theta]:0);
1.209     brouard  5035:       if((int)age==79 ||(int)age== 80 ||(int)age== 81 )
                   5036:        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij);
                   5037:       else
                   5038:        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij);
1.208     brouard  5039:       for(i=1;i<=nlstate;i++){
1.126     brouard  5040:        gm[i] = prlim[i][i];
1.208     brouard  5041:        mgm[theta][i] = prlim[i][i];
                   5042:       }
1.126     brouard  5043:       for(i=1;i<=nlstate;i++)
                   5044:        gradg[theta][i]= (gp[i]-gm[i])/2./delti[theta];
1.209     brouard  5045:       /* gradg[theta][2]= -gradg[theta][1]; */ /* For testing if nlstate=2 */
1.126     brouard  5046:     } /* End theta */
                   5047: 
                   5048:     trgradg =matrix(1,nlstate,1,npar);
                   5049: 
                   5050:     for(j=1; j<=nlstate;j++)
                   5051:       for(theta=1; theta <=npar; theta++)
                   5052:        trgradg[j][theta]=gradg[theta][j];
1.209     brouard  5053:     /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ){ */
                   5054:     /*   printf("\nmgm mgp %d ",(int)age); */
                   5055:     /*   for(j=1; j<=nlstate;j++){ */
                   5056:     /*         printf(" %d ",j); */
                   5057:     /*         for(theta=1; theta <=npar; theta++) */
                   5058:     /*           printf(" %d %lf %lf",theta,mgm[theta][j],mgp[theta][j]); */
                   5059:     /*         printf("\n "); */
                   5060:     /*   } */
                   5061:     /* } */
                   5062:     /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ){ */
                   5063:     /*   printf("\n gradg %d ",(int)age); */
                   5064:     /*   for(j=1; j<=nlstate;j++){ */
                   5065:     /*         printf("%d ",j); */
                   5066:     /*         for(theta=1; theta <=npar; theta++) */
                   5067:     /*           printf("%d %lf ",theta,gradg[theta][j]); */
                   5068:     /*         printf("\n "); */
                   5069:     /*   } */
                   5070:     /* } */
1.126     brouard  5071: 
                   5072:     for(i=1;i<=nlstate;i++)
                   5073:       varpl[i][(int)age] =0.;
1.209     brouard  5074:     if((int)age==79 ||(int)age== 80  ||(int)age== 81){
1.205     brouard  5075:     matprod2(dnewm,trgradg,1,nlstate,1,npar,1,npar,matcov);
                   5076:     matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg);
                   5077:     }else{
1.126     brouard  5078:     matprod2(dnewm,trgradg,1,nlstate,1,npar,1,npar,matcov);
                   5079:     matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg);
1.205     brouard  5080:     }
1.126     brouard  5081:     for(i=1;i<=nlstate;i++)
                   5082:       varpl[i][(int)age] = doldm[i][i]; /* Covariances are useless */
                   5083: 
                   5084:     fprintf(ficresvpl,"%.0f ",age );
                   5085:     for(i=1; i<=nlstate;i++)
                   5086:       fprintf(ficresvpl," %.5f (%.5f)",prlim[i][i],sqrt(varpl[i][(int)age]));
                   5087:     fprintf(ficresvpl,"\n");
                   5088:     free_vector(gp,1,nlstate);
                   5089:     free_vector(gm,1,nlstate);
1.208     brouard  5090:     free_matrix(mgm,1,npar,1,nlstate);
                   5091:     free_matrix(mgp,1,npar,1,nlstate);
1.126     brouard  5092:     free_matrix(gradg,1,npar,1,nlstate);
                   5093:     free_matrix(trgradg,1,nlstate,1,npar);
                   5094:   } /* End age */
                   5095: 
                   5096:   free_vector(xp,1,npar);
                   5097:   free_matrix(doldm,1,nlstate,1,npar);
                   5098:   free_matrix(dnewm,1,nlstate,1,nlstate);
                   5099: 
                   5100: }
                   5101: 
                   5102: /************ Variance of one-step probabilities  ******************/
                   5103: 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[])
                   5104: {
1.164     brouard  5105:   int i, j=0,  k1, l1, tj;
1.126     brouard  5106:   int k2, l2, j1,  z1;
1.164     brouard  5107:   int k=0, l;
1.145     brouard  5108:   int first=1, first1, first2;
1.126     brouard  5109:   double cv12, mu1, mu2, lc1, lc2, v12, v21, v11, v22,v1,v2, c12, tnalp;
                   5110:   double **dnewm,**doldm;
                   5111:   double *xp;
                   5112:   double *gp, *gm;
                   5113:   double **gradg, **trgradg;
                   5114:   double **mu;
1.164     brouard  5115:   double age, cov[NCOVMAX+1];
1.126     brouard  5116:   double std=2.0; /* Number of standard deviation wide of confidence ellipsoids */
                   5117:   int theta;
                   5118:   char fileresprob[FILENAMELENGTH];
                   5119:   char fileresprobcov[FILENAMELENGTH];
                   5120:   char fileresprobcor[FILENAMELENGTH];
                   5121:   double ***varpij;
                   5122: 
1.201     brouard  5123:   strcpy(fileresprob,"PROB_"); 
1.126     brouard  5124:   strcat(fileresprob,fileres);
                   5125:   if((ficresprob=fopen(fileresprob,"w"))==NULL) {
                   5126:     printf("Problem with resultfile: %s\n", fileresprob);
                   5127:     fprintf(ficlog,"Problem with resultfile: %s\n", fileresprob);
                   5128:   }
1.201     brouard  5129:   strcpy(fileresprobcov,"PROBCOV_"); 
1.202     brouard  5130:   strcat(fileresprobcov,fileresu);
1.126     brouard  5131:   if((ficresprobcov=fopen(fileresprobcov,"w"))==NULL) {
                   5132:     printf("Problem with resultfile: %s\n", fileresprobcov);
                   5133:     fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcov);
                   5134:   }
1.201     brouard  5135:   strcpy(fileresprobcor,"PROBCOR_"); 
1.202     brouard  5136:   strcat(fileresprobcor,fileresu);
1.126     brouard  5137:   if((ficresprobcor=fopen(fileresprobcor,"w"))==NULL) {
                   5138:     printf("Problem with resultfile: %s\n", fileresprobcor);
                   5139:     fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcor);
                   5140:   }
                   5141:   printf("Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);
                   5142:   fprintf(ficlog,"Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);
                   5143:   printf("Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);
                   5144:   fprintf(ficlog,"Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);
                   5145:   printf("and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);
                   5146:   fprintf(ficlog,"and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);
                   5147:   pstamp(ficresprob);
                   5148:   fprintf(ficresprob,"#One-step probabilities and stand. devi in ()\n");
                   5149:   fprintf(ficresprob,"# Age");
                   5150:   pstamp(ficresprobcov);
                   5151:   fprintf(ficresprobcov,"#One-step probabilities and covariance matrix\n");
                   5152:   fprintf(ficresprobcov,"# Age");
                   5153:   pstamp(ficresprobcor);
                   5154:   fprintf(ficresprobcor,"#One-step probabilities and correlation matrix\n");
                   5155:   fprintf(ficresprobcor,"# Age");
                   5156: 
                   5157: 
                   5158:   for(i=1; i<=nlstate;i++)
                   5159:     for(j=1; j<=(nlstate+ndeath);j++){
                   5160:       fprintf(ficresprob," p%1d-%1d (SE)",i,j);
                   5161:       fprintf(ficresprobcov," p%1d-%1d ",i,j);
                   5162:       fprintf(ficresprobcor," p%1d-%1d ",i,j);
                   5163:     }  
                   5164:  /* fprintf(ficresprob,"\n");
                   5165:   fprintf(ficresprobcov,"\n");
                   5166:   fprintf(ficresprobcor,"\n");
                   5167:  */
1.131     brouard  5168:   xp=vector(1,npar);
1.126     brouard  5169:   dnewm=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);
                   5170:   doldm=matrix(1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath));
                   5171:   mu=matrix(1,(nlstate)*(nlstate+ndeath), (int) bage, (int)fage);
                   5172:   varpij=ma3x(1,nlstate*(nlstate+ndeath),1,nlstate*(nlstate+ndeath),(int) bage, (int) fage);
                   5173:   first=1;
                   5174:   fprintf(ficgp,"\n# Routine varprob");
                   5175:   fprintf(fichtm,"\n<li><h4> Computing and drawing one step probabilities with their confidence intervals</h4></li>\n");
                   5176:   fprintf(fichtm,"\n");
                   5177: 
1.200     brouard  5178:   fprintf(fichtm,"\n<li><h4> <a href=\"%s\">Matrix of variance-covariance of one-step probabilities (drawings)</a></h4> this page is important in order to visualize confidence intervals and especially correlation between disability and recovery, or more generally, way in and way back.</li>\n",optionfilehtmcov);
1.197     brouard  5179:   fprintf(fichtmcov,"Current page is file <a href=\"%s\">%s</a><br>\n\n<h4>Matrix of variance-covariance of pairs of step probabilities</h4>\n",optionfilehtmcov, optionfilehtmcov);
                   5180:   fprintf(fichtmcov,"\nEllipsoids of confidence centered on point (p<inf>ij</inf>, p<inf>kl</inf>) are estimated \
1.126     brouard  5181: and drawn. It helps understanding how is the covariance between two incidences.\
                   5182:  They are expressed in year<sup>-1</sup> in order to be less dependent of stepm.<br>\n");
                   5183:   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. \
                   5184: It can be understood this way: if pij and pkl where uncorrelated the (2x2) matrix of covariance \
                   5185: would have been (1/(var pij), 0 , 0, 1/(var pkl)), and the confidence interval would be 2 \
                   5186: standard deviations wide on each axis. <br>\
                   5187:  Now, if both incidences are correlated (usual case) we diagonalised the inverse of the covariance matrix\
                   5188:  and made the appropriate rotation to look at the uncorrelated principal directions.<br>\
                   5189: To be simple, these graphs help to understand the significativity of each parameter in relation to a second other one.<br> \n");
                   5190: 
                   5191:   cov[1]=1;
1.145     brouard  5192:   /* tj=cptcoveff; */
                   5193:   tj = (int) pow(2,cptcoveff);
1.126     brouard  5194:   if (cptcovn<1) {tj=1;ncodemax[1]=1;}
                   5195:   j1=0;
1.145     brouard  5196:   for(j1=1; j1<=tj;j1++){
                   5197:     /*for(i1=1; i1<=ncodemax[t];i1++){ */
                   5198:     /*j1++;*/
1.126     brouard  5199:       if  (cptcovn>0) {
                   5200:        fprintf(ficresprob, "\n#********** Variable "); 
1.198     brouard  5201:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprob, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.126     brouard  5202:        fprintf(ficresprob, "**********\n#\n");
                   5203:        fprintf(ficresprobcov, "\n#********** Variable "); 
1.198     brouard  5204:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcov, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.126     brouard  5205:        fprintf(ficresprobcov, "**********\n#\n");
                   5206:        
                   5207:        fprintf(ficgp, "\n#********** Variable "); 
1.198     brouard  5208:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficgp, " V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.126     brouard  5209:        fprintf(ficgp, "**********\n#\n");
                   5210:        
                   5211:        
                   5212:        fprintf(fichtmcov, "\n<hr  size=\"2\" color=\"#EC5E5E\">********** Variable "); 
1.198     brouard  5213:        for (z1=1; z1<=cptcoveff; z1++) fprintf(fichtm, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.126     brouard  5214:        fprintf(fichtmcov, "**********\n<hr size=\"2\" color=\"#EC5E5E\">");
                   5215:        
                   5216:        fprintf(ficresprobcor, "\n#********** Variable ");    
1.198     brouard  5217:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcor, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.126     brouard  5218:        fprintf(ficresprobcor, "**********\n#");    
                   5219:       }
                   5220:       
1.145     brouard  5221:       gradg=matrix(1,npar,1,(nlstate)*(nlstate+ndeath));
                   5222:       trgradg=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);
                   5223:       gp=vector(1,(nlstate)*(nlstate+ndeath));
                   5224:       gm=vector(1,(nlstate)*(nlstate+ndeath));
1.126     brouard  5225:       for (age=bage; age<=fage; age ++){ 
                   5226:        cov[2]=age;
1.187     brouard  5227:        if(nagesqr==1)
                   5228:          cov[3]= age*age;
1.126     brouard  5229:        for (k=1; k<=cptcovn;k++) {
1.200     brouard  5230:          cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(j1,k)];
                   5231:          /*cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(j1,Tvar[k])];*//* j1 1 2 3 4
1.145     brouard  5232:                                                         * 1  1 1 1 1
                   5233:                                                         * 2  2 1 1 1
                   5234:                                                         * 3  1 2 1 1
                   5235:                                                         */
                   5236:          /* nbcode[1][1]=0 nbcode[1][2]=1;*/
1.126     brouard  5237:        }
1.186     brouard  5238:        /* for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
1.200     brouard  5239:        for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
1.126     brouard  5240:        for (k=1; k<=cptcovprod;k++)
1.200     brouard  5241:          cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)]*nbcode[Tvard[k][2]][codtabm(ij,k)];
1.126     brouard  5242:        
                   5243:     
                   5244:        for(theta=1; theta <=npar; theta++){
                   5245:          for(i=1; i<=npar; i++)
                   5246:            xp[i] = x[i] + (i==theta ?delti[theta]:(double)0);
                   5247:          
                   5248:          pmij(pmmij,cov,ncovmodel,xp,nlstate);
                   5249:          
                   5250:          k=0;
                   5251:          for(i=1; i<= (nlstate); i++){
                   5252:            for(j=1; j<=(nlstate+ndeath);j++){
                   5253:              k=k+1;
                   5254:              gp[k]=pmmij[i][j];
                   5255:            }
                   5256:          }
                   5257:          
                   5258:          for(i=1; i<=npar; i++)
                   5259:            xp[i] = x[i] - (i==theta ?delti[theta]:(double)0);
                   5260:     
                   5261:          pmij(pmmij,cov,ncovmodel,xp,nlstate);
                   5262:          k=0;
                   5263:          for(i=1; i<=(nlstate); i++){
                   5264:            for(j=1; j<=(nlstate+ndeath);j++){
                   5265:              k=k+1;
                   5266:              gm[k]=pmmij[i][j];
                   5267:            }
                   5268:          }
                   5269:      
                   5270:          for(i=1; i<= (nlstate)*(nlstate+ndeath); i++) 
                   5271:            gradg[theta][i]=(gp[i]-gm[i])/(double)2./delti[theta];  
                   5272:        }
                   5273: 
                   5274:        for(j=1; j<=(nlstate)*(nlstate+ndeath);j++)
                   5275:          for(theta=1; theta <=npar; theta++)
                   5276:            trgradg[j][theta]=gradg[theta][j];
                   5277:        
                   5278:        matprod2(dnewm,trgradg,1,(nlstate)*(nlstate+ndeath),1,npar,1,npar,matcov); 
                   5279:        matprod2(doldm,dnewm,1,(nlstate)*(nlstate+ndeath),1,npar,1,(nlstate)*(nlstate+ndeath),gradg);
                   5280: 
                   5281:        pmij(pmmij,cov,ncovmodel,x,nlstate);
                   5282:        
                   5283:        k=0;
                   5284:        for(i=1; i<=(nlstate); i++){
                   5285:          for(j=1; j<=(nlstate+ndeath);j++){
                   5286:            k=k+1;
                   5287:            mu[k][(int) age]=pmmij[i][j];
                   5288:          }
                   5289:        }
                   5290:        for(i=1;i<=(nlstate)*(nlstate+ndeath);i++)
                   5291:          for(j=1;j<=(nlstate)*(nlstate+ndeath);j++)
                   5292:            varpij[i][j][(int)age] = doldm[i][j];
                   5293: 
                   5294:        /*printf("\n%d ",(int)age);
                   5295:          for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){
                   5296:          printf("%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));
                   5297:          fprintf(ficlog,"%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));
                   5298:          }*/
                   5299: 
                   5300:        fprintf(ficresprob,"\n%d ",(int)age);
                   5301:        fprintf(ficresprobcov,"\n%d ",(int)age);
                   5302:        fprintf(ficresprobcor,"\n%d ",(int)age);
                   5303: 
                   5304:        for (i=1; i<=(nlstate)*(nlstate+ndeath);i++)
                   5305:          fprintf(ficresprob,"%11.3e (%11.3e) ",mu[i][(int) age],sqrt(varpij[i][i][(int)age]));
                   5306:        for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){
                   5307:          fprintf(ficresprobcov,"%11.3e ",mu[i][(int) age]);
                   5308:          fprintf(ficresprobcor,"%11.3e ",mu[i][(int) age]);
                   5309:        }
                   5310:        i=0;
                   5311:        for (k=1; k<=(nlstate);k++){
                   5312:          for (l=1; l<=(nlstate+ndeath);l++){ 
1.145     brouard  5313:            i++;
1.126     brouard  5314:            fprintf(ficresprobcov,"\n%d %d-%d",(int)age,k,l);
                   5315:            fprintf(ficresprobcor,"\n%d %d-%d",(int)age,k,l);
                   5316:            for (j=1; j<=i;j++){
1.145     brouard  5317:              /* printf(" k=%d l=%d i=%d j=%d\n",k,l,i,j);fflush(stdout); */
1.126     brouard  5318:              fprintf(ficresprobcov," %11.3e",varpij[i][j][(int)age]);
                   5319:              fprintf(ficresprobcor," %11.3e",varpij[i][j][(int) age]/sqrt(varpij[i][i][(int) age])/sqrt(varpij[j][j][(int)age]));
                   5320:            }
                   5321:          }
                   5322:        }/* end of loop for state */
                   5323:       } /* end of loop for age */
1.145     brouard  5324:       free_vector(gp,1,(nlstate+ndeath)*(nlstate+ndeath));
                   5325:       free_vector(gm,1,(nlstate+ndeath)*(nlstate+ndeath));
                   5326:       free_matrix(trgradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);
                   5327:       free_matrix(gradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);
                   5328:       
1.126     brouard  5329:       /* Confidence intervalle of pij  */
                   5330:       /*
1.131     brouard  5331:        fprintf(ficgp,"\nunset parametric;unset label");
1.126     brouard  5332:        fprintf(ficgp,"\nset log y;unset log x; set xlabel \"Age\";set ylabel \"probability (year-1)\"");
                   5333:        fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65");
                   5334:        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);
                   5335:        fprintf(fichtm,"\n<br><img src=\"pijgr%s.png\"> ",optionfilefiname);
                   5336:        fprintf(ficgp,"\nset out \"pijgr%s.png\"",optionfilefiname);
                   5337:        fprintf(ficgp,"\nplot \"%s\" every :::%d::%d u 1:2 \"\%%lf",k1,k2,xfilevarprob);
                   5338:       */
                   5339: 
                   5340:       /* Drawing ellipsoids of confidence of two variables p(k1-l1,k2-l2)*/
1.145     brouard  5341:       first1=1;first2=2;
1.126     brouard  5342:       for (k2=1; k2<=(nlstate);k2++){
                   5343:        for (l2=1; l2<=(nlstate+ndeath);l2++){ 
                   5344:          if(l2==k2) continue;
                   5345:          j=(k2-1)*(nlstate+ndeath)+l2;
                   5346:          for (k1=1; k1<=(nlstate);k1++){
                   5347:            for (l1=1; l1<=(nlstate+ndeath);l1++){ 
                   5348:              if(l1==k1) continue;
                   5349:              i=(k1-1)*(nlstate+ndeath)+l1;
                   5350:              if(i<=j) continue;
                   5351:              for (age=bage; age<=fage; age ++){ 
                   5352:                if ((int)age %5==0){
                   5353:                  v1=varpij[i][i][(int)age]/stepm*YEARM/stepm*YEARM;
                   5354:                  v2=varpij[j][j][(int)age]/stepm*YEARM/stepm*YEARM;
                   5355:                  cv12=varpij[i][j][(int)age]/stepm*YEARM/stepm*YEARM;
                   5356:                  mu1=mu[i][(int) age]/stepm*YEARM ;
                   5357:                  mu2=mu[j][(int) age]/stepm*YEARM;
                   5358:                  c12=cv12/sqrt(v1*v2);
                   5359:                  /* Computing eigen value of matrix of covariance */
                   5360:                  lc1=((v1+v2)+sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                   5361:                  lc2=((v1+v2)-sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
1.135     brouard  5362:                  if ((lc2 <0) || (lc1 <0) ){
1.145     brouard  5363:                    if(first2==1){
                   5364:                      first1=0;
                   5365:                    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);
                   5366:                    }
                   5367:                    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);
                   5368:                    /* lc1=fabs(lc1); */ /* If we want to have them positive */
                   5369:                    /* lc2=fabs(lc2); */
1.135     brouard  5370:                  }
                   5371: 
1.126     brouard  5372:                  /* Eigen vectors */
                   5373:                  v11=(1./sqrt(1+(v1-lc1)*(v1-lc1)/cv12/cv12));
                   5374:                  /*v21=sqrt(1.-v11*v11); *//* error */
                   5375:                  v21=(lc1-v1)/cv12*v11;
                   5376:                  v12=-v21;
                   5377:                  v22=v11;
                   5378:                  tnalp=v21/v11;
                   5379:                  if(first1==1){
                   5380:                    first1=0;
                   5381:                    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);
                   5382:                  }
                   5383:                  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);
                   5384:                  /*printf(fignu*/
                   5385:                  /* mu1+ v11*lc1*cost + v12*lc2*sin(t) */
                   5386:                  /* mu2+ v21*lc1*cost + v22*lc2*sin(t) */
                   5387:                  if(first==1){
                   5388:                    first=0;
1.200     brouard  5389:                    fprintf(ficgp,"\n# Ellipsoids of confidence\n#\n");
1.126     brouard  5390:                    fprintf(ficgp,"\nset parametric;unset label");
                   5391:                    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);
1.199     brouard  5392:                    fprintf(ficgp,"\nset ter svg size 640, 480");
1.126     brouard  5393:                    fprintf(fichtmcov,"\n<br>Ellipsoids of confidence cov(p%1d%1d,p%1d%1d) expressed in year<sup>-1</sup>\
1.201     brouard  5394:  :<a href=\"%s_%d%1d%1d-%1d%1d.svg\">\
                   5395: %s_%d%1d%1d-%1d%1d.svg</A>, ",k1,l1,k2,l2,\
                   5396:                            subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2,\
                   5397:                            subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
                   5398:                    fprintf(fichtmcov,"\n<br><img src=\"%s_%d%1d%1d-%1d%1d.svg\"> ",subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
1.126     brouard  5399:                    fprintf(fichtmcov,"\n<br> Correlation at age %d (%.3f),",(int) age, c12);
1.201     brouard  5400:                    fprintf(ficgp,"\nset out \"%s_%d%1d%1d-%1d%1d.svg\"",subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
1.126     brouard  5401:                    fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);
                   5402:                    fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);
                   5403:                    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",\
                   5404:                            mu1,std,v11,sqrt(lc1),v12,sqrt(lc2),\
                   5405:                            mu2,std,v21,sqrt(lc1),v22,sqrt(lc2));
                   5406:                  }else{
                   5407:                    first=0;
                   5408:                    fprintf(fichtmcov," %d (%.3f),",(int) age, c12);
                   5409:                    fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);
                   5410:                    fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);
                   5411:                    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",\
                   5412:                            mu1,std,v11,sqrt(lc1),v12,sqrt(lc2),\
                   5413:                            mu2,std,v21,sqrt(lc1),v22,sqrt(lc2));
                   5414:                  }/* if first */
                   5415:                } /* age mod 5 */
                   5416:              } /* end loop age */
1.201     brouard  5417:              fprintf(ficgp,"\nset out;\nset out \"%s_%d%1d%1d-%1d%1d.svg\";replot;set out;",subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
1.126     brouard  5418:              first=1;
                   5419:            } /*l12 */
                   5420:          } /* k12 */
                   5421:        } /*l1 */
                   5422:       }/* k1 */
1.169     brouard  5423:       /* } */ /* loop covariates */
1.126     brouard  5424:   }
                   5425:   free_ma3x(varpij,1,nlstate,1,nlstate+ndeath,(int) bage, (int)fage);
                   5426:   free_matrix(mu,1,(nlstate+ndeath)*(nlstate+ndeath),(int) bage, (int)fage);
                   5427:   free_matrix(doldm,1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath));
                   5428:   free_matrix(dnewm,1,(nlstate)*(nlstate+ndeath),1,npar);
                   5429:   free_vector(xp,1,npar);
                   5430:   fclose(ficresprob);
                   5431:   fclose(ficresprobcov);
                   5432:   fclose(ficresprobcor);
                   5433:   fflush(ficgp);
                   5434:   fflush(fichtmcov);
                   5435: }
                   5436: 
                   5437: 
                   5438: /******************* Printing html file ***********/
1.201     brouard  5439: void printinghtml(char fileresu[], char title[], char datafile[], int firstpass, \
1.126     brouard  5440:                  int lastpass, int stepm, int weightopt, char model[],\
                   5441:                  int imx,int jmin, int jmax, double jmeanint,char rfileres[],\
1.217     brouard  5442:                  int popforecast, int prevfcast, int backcast, int estepm , \
1.213     brouard  5443:                  double jprev1, double mprev1,double anprev1, double dateprev1, \
                   5444:                  double jprev2, double mprev2,double anprev2, double dateprev2){
1.126     brouard  5445:   int jj1, k1, i1, cpt;
                   5446: 
                   5447:    fprintf(fichtm,"<ul><li><a href='#firstorder'>Result files (first order: no variance)</a>\n \
                   5448:    <li><a href='#secondorder'>Result files (second order (variance)</a>\n \
                   5449: </ul>");
1.214     brouard  5450:    fprintf(fichtm,"<ul><li><h4><a name='firstorder'>Result files (first order: no variance)</a></h4>\n");
                   5451:    fprintf(fichtm,"<li>- Observed frequency between two states (during the period defined between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf): <a href=\"%s\">%s</a> (html file)<br/>\n",
                   5452:           jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,subdirfext3(optionfilefiname,"PHTMFR_",".htm"),subdirfext3(optionfilefiname,"PHTMFR_",".htm"));
                   5453:    fprintf(fichtm,"<li> - Observed prevalence in each state (during the period defined between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf): <a href=\"%s\">%s</a> (html file) ",
1.213     brouard  5454:           jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,subdirfext3(optionfilefiname,"PHTM_",".htm"),subdirfext3(optionfilefiname,"PHTM_",".htm"));
                   5455:    fprintf(fichtm,",  <a href=\"%s\">%s</a> (text file) <br>\n",subdirf2(fileresu,"P_"),subdirf2(fileresu,"P_"));
1.126     brouard  5456:    fprintf(fichtm,"\
                   5457:  - Estimated transition probabilities over %d (stepm) months: <a href=\"%s\">%s</a><br>\n ",
1.201     brouard  5458:           stepm,subdirf2(fileresu,"PIJ_"),subdirf2(fileresu,"PIJ_"));
1.126     brouard  5459:    fprintf(fichtm,"\
1.217     brouard  5460:  - Estimated back transition probabilities over %d (stepm) months: <a href=\"%s\">%s</a><br>\n ",
                   5461:           stepm,subdirf2(fileresu,"PIJB_"),subdirf2(fileresu,"PIJB_"));
                   5462:    fprintf(fichtm,"\
1.126     brouard  5463:  - Period (stable) prevalence in each health state: <a href=\"%s\">%s</a> <br>\n",
1.201     brouard  5464:           subdirf2(fileresu,"PL_"),subdirf2(fileresu,"PL_"));
1.126     brouard  5465:    fprintf(fichtm,"\
1.217     brouard  5466:  - Period (stable) back prevalence in each health state: <a href=\"%s\">%s</a> <br>\n",
                   5467:           subdirf2(fileresu,"PLB_"),subdirf2(fileresu,"PLB_"));
                   5468:    fprintf(fichtm,"\
1.211     brouard  5469:  - (a) Life expectancies by health status at initial age, e<sub>i.</sub> (b) health expectancies by health status at initial age, e<sub>ij</sub> . If one or more covariates are included, specific tables for each value of the covariate are output in sequences within the same file (estepm=%2d months): \
1.126     brouard  5470:    <a href=\"%s\">%s</a> <br>\n",
1.201     brouard  5471:           estepm,subdirf2(fileresu,"E_"),subdirf2(fileresu,"E_"));
1.211     brouard  5472:    if(prevfcast==1){
                   5473:      fprintf(fichtm,"\
                   5474:  - Prevalence projections by age and states:                           \
1.201     brouard  5475:    <a href=\"%s\">%s</a> <br>\n</li>", subdirf2(fileresu,"F_"),subdirf2(fileresu,"F_"));
1.211     brouard  5476:    }
1.126     brouard  5477: 
                   5478: fprintf(fichtm," \n<ul><li><b>Graphs</b></li><p>");
                   5479: 
1.145     brouard  5480:  m=pow(2,cptcoveff);
1.126     brouard  5481:  if (cptcovn < 1) {m=1;ncodemax[1]=1;}
                   5482: 
                   5483:  jj1=0;
                   5484:  for(k1=1; k1<=m;k1++){
1.192     brouard  5485:    /* for(i1=1; i1<=ncodemax[k1];i1++){ */
1.126     brouard  5486:      jj1++;
                   5487:      if (cptcovn > 0) {
                   5488:        fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");
1.192     brouard  5489:        for (cpt=1; cpt<=cptcoveff;cpt++){ 
1.198     brouard  5490:         fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]);
                   5491:         printf(" V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]);fflush(stdout);
1.192     brouard  5492:        }
1.126     brouard  5493:        fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");
                   5494:      }
1.201     brouard  5495:      /* aij, bij */
1.211     brouard  5496:      fprintf(fichtm,"<br>- Logit model (yours is: 1+age+%s), for example: logit(pij)=log(pij/pii)= aij+ bij age + V1 age + etc. as a function of age: <a href=\"%s_%d-1.svg\">%s_%d-1.svg</a><br> \
                   5497: <img src=\"%s_%d-1.svg\">",model,subdirf2(optionfilefiname,"PE_"),jj1,subdirf2(optionfilefiname,"PE_"),jj1,subdirf2(optionfilefiname,"PE_"),jj1);
1.126     brouard  5498:      /* Pij */
1.211     brouard  5499:      fprintf(fichtm,"<br>\n- P<sub>ij</sub> or conditional probabilities to be observed in state j being in state i, %d (stepm) months before: <a href=\"%s_%d-2.svg\">%s_%d-2.svg</a><br> \
1.201     brouard  5500: <img src=\"%s_%d-2.svg\">",stepm,subdirf2(optionfilefiname,"PE_"),jj1,subdirf2(optionfilefiname,"PE_"),jj1,subdirf2(optionfilefiname,"PE_"),jj1);     
1.126     brouard  5501:      /* Quasi-incidences */
1.211     brouard  5502:      fprintf(fichtm,"<br>\n- I<sub>ij</sub> or Conditional probabilities to be observed in state j being in state i %d (stepm) months\
1.201     brouard  5503:  before but expressed in per year i.e. quasi incidences if stepm is small and probabilities too,\
1.211     brouard  5504:  incidence (rates) are the limit when h tends to zero of the ratio of the probability  <sub>h</sub>P<sub>ij</sub> \
                   5505: divided by h: <sub>h</sub>P<sub>ij</sub>/h : <a href=\"%s_%d-3.svg\">%s_%d-3.svg</a><br> \
1.201     brouard  5506: <img src=\"%s_%d-3.svg\">",stepm,subdirf2(optionfilefiname,"PE_"),jj1,subdirf2(optionfilefiname,"PE_"),jj1,subdirf2(optionfilefiname,"PE_"),jj1); 
                   5507:      /* Survival functions (period) in state j */
                   5508:      for(cpt=1; cpt<=nlstate;cpt++){
                   5509:        fprintf(fichtm,"<br>\n- Survival functions in state %d. Or probability to survive in state %d being in state (1 to %d) at different ages. <a href=\"%s%d_%d.svg\">%s%d_%d.svg</a><br> \
                   5510: <img src=\"%s_%d-%d.svg\">", cpt, cpt, nlstate, subdirf2(optionfilefiname,"LIJ_"),cpt,jj1,subdirf2(optionfilefiname,"LIJ_"),cpt,jj1,subdirf2(optionfilefiname,"LIJ_"),cpt,jj1);
                   5511:      }
                   5512:      /* State specific survival functions (period) */
                   5513:      for(cpt=1; cpt<=nlstate;cpt++){
1.208     brouard  5514:        fprintf(fichtm,"<br>\n- Survival functions from state %d in each live state and total.\
1.201     brouard  5515:  Or probability to survive in various states (1 to %d) being in state %d at different ages.\
                   5516:  <a href=\"%s%d_%d.svg\">%s%d_%d.svg</a><br> <img src=\"%s_%d-%d.svg\">", cpt, nlstate, cpt, subdirf2(optionfilefiname,"LIJT_"),cpt,jj1,subdirf2(optionfilefiname,"LIJT_"),cpt,jj1,subdirf2(optionfilefiname,"LIJT_"),cpt,jj1);
                   5517:      }
                   5518:      /* Period (stable) prevalence in each health state */
                   5519:      for(cpt=1; cpt<=nlstate;cpt++){
1.217     brouard  5520:        fprintf(fichtm,"<br>\n- Convergence to period (stable) prevalence in state %d. Or probability to be in state %d being in state (1 to %d) at different ages. <a href=\"%s_%d-%d.svg\">%s_%d-%d.svg</a><br> \
1.201     brouard  5521: <img src=\"%s_%d-%d.svg\">", cpt, cpt, nlstate, subdirf2(optionfilefiname,"P_"),cpt,jj1,subdirf2(optionfilefiname,"P_"),cpt,jj1,subdirf2(optionfilefiname,"P_"),cpt,jj1);
                   5522:      }
1.217     brouard  5523:     if(backcast==1){
                   5524:      /* Period (stable) back prevalence in each health state */
                   5525:      for(cpt=1; cpt<=nlstate;cpt++){
                   5526:        fprintf(fichtm,"<br>\n- Convergence to period (stable) back prevalence in state %d. Or probability to be in state %d being in state (1 to %d) at different ages. <a href=\"%s_%d-%d.svg\">%s_%d-%d.svg</a><br> \
                   5527: <img src=\"%s_%d-%d.svg\">", cpt, cpt, nlstate, subdirf2(optionfilefiname,"PB_"),cpt,jj1,subdirf2(optionfilefiname,"PB_"),cpt,jj1,subdirf2(optionfilefiname,"PB_"),cpt,jj1);
                   5528:      }
                   5529:     }
1.211     brouard  5530:     if(prevfcast==1){
                   5531:       /* Projection of prevalence up to period (stable) prevalence in each health state */
                   5532:       for(cpt=1; cpt<=nlstate;cpt++){
1.214     brouard  5533:        fprintf(fichtm,"<br>\n- Projection of cross-sectional prevalence (estimated with cases observed from %.1f to %.1f) up to period (stable) prevalence in state %d. Or probability to be in state %d being in state (1 to %d) at different ages. <a href=\"%s%d_%d.svg\">%s%d_%d.svg</a><br> \
1.213     brouard  5534: <img src=\"%s_%d-%d.svg\">", dateprev1, dateprev2, cpt, cpt, nlstate, subdirf2(optionfilefiname,"PROJ_"),cpt,jj1,subdirf2(optionfilefiname,"PROJ_"),cpt,jj1,subdirf2(optionfilefiname,"PROJ_"),cpt,jj1);
1.211     brouard  5535:       }
                   5536:     }
                   5537: 
1.126     brouard  5538:      for(cpt=1; cpt<=nlstate;cpt++) {
1.205     brouard  5539:        fprintf(fichtm,"\n<br>- Life expectancy by health state (%d) at initial age and its decomposition into health expectancies in each alive state (1 to %d) (or area under each survival functions): <a href=\"%s_%d%d.svg\">%s_%d%d.svg</a> <br> \
1.201     brouard  5540: <img src=\"%s_%d%d.svg\">",cpt,nlstate,subdirf2(optionfilefiname,"EXP_"),cpt,jj1,subdirf2(optionfilefiname,"EXP_"),cpt,jj1,subdirf2(optionfilefiname,"EXP_"),cpt,jj1);
1.126     brouard  5541:      }
1.192     brouard  5542:    /* } /\* end i1 *\/ */
1.126     brouard  5543:  }/* End k1 */
                   5544:  fprintf(fichtm,"</ul>");
                   5545: 
                   5546:  fprintf(fichtm,"\
                   5547: \n<br><li><h4> <a name='secondorder'>Result files (second order: variances)</a></h4>\n\
1.193     brouard  5548:  - Parameter file with estimated parameters and covariance matrix: <a href=\"%s\">%s</a> <br> \
1.203     brouard  5549:  - 95%% confidence intervals and Wald tests of the estimated parameters are in the log file if optimization has been done (mle != 0).<br> \
1.197     brouard  5550: But because parameters are usually highly correlated (a higher incidence of disability \
                   5551: and a higher incidence of recovery can give very close observed transition) it might \
                   5552: be very useful to look not only at linear confidence intervals estimated from the \
                   5553: variances but at the covariance matrix. And instead of looking at the estimated coefficients \
                   5554: (parameters) of the logistic regression, it might be more meaningful to visualize the \
                   5555: covariance matrix of the one-step probabilities. \
                   5556: See page 'Matrix of variance-covariance of one-step probabilities' below. \n", rfileres,rfileres);
1.126     brouard  5557: 
1.193     brouard  5558:  fprintf(fichtm," - Standard deviation of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
1.201     brouard  5559:         subdirf2(fileresu,"PROB_"),subdirf2(fileresu,"PROB_"));
1.126     brouard  5560:  fprintf(fichtm,"\
                   5561:  - Variance-covariance of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
1.201     brouard  5562:         subdirf2(fileresu,"PROBCOV_"),subdirf2(fileresu,"PROBCOV_"));
1.126     brouard  5563: 
                   5564:  fprintf(fichtm,"\
                   5565:  - Correlation matrix of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
1.201     brouard  5566:         subdirf2(fileresu,"PROBCOR_"),subdirf2(fileresu,"PROBCOR_"));
1.126     brouard  5567:  fprintf(fichtm,"\
                   5568:  - 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): \
                   5569:    <a href=\"%s\">%s</a> <br>\n</li>",
1.201     brouard  5570:           estepm,subdirf2(fileresu,"CVE_"),subdirf2(fileresu,"CVE_"));
1.126     brouard  5571:  fprintf(fichtm,"\
                   5572:  - (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): \
                   5573:    <a href=\"%s\">%s</a> <br>\n</li>",
1.201     brouard  5574:           estepm,subdirf2(fileresu,"STDE_"),subdirf2(fileresu,"STDE_"));
1.126     brouard  5575:  fprintf(fichtm,"\
1.128     brouard  5576:  - 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",
1.201     brouard  5577:         estepm, subdirf2(fileresu,"V_"),subdirf2(fileresu,"V_"));
1.126     brouard  5578:  fprintf(fichtm,"\
1.128     brouard  5579:  - 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",
1.201     brouard  5580:         estepm, subdirf2(fileresu,"T_"),subdirf2(fileresu,"T_"));
1.126     brouard  5581:  fprintf(fichtm,"\
                   5582:  - Standard deviation of period (stable) prevalences: <a href=\"%s\">%s</a> <br>\n",\
1.201     brouard  5583:         subdirf2(fileresu,"VPL_"),subdirf2(fileresu,"VPL_"));
1.126     brouard  5584: 
                   5585: /*  if(popforecast==1) fprintf(fichtm,"\n */
                   5586: /*  - Prevalences forecasting: <a href=\"f%s\">f%s</a> <br>\n */
                   5587: /*  - Population forecasting (if popforecast=1): <a href=\"pop%s\">pop%s</a> <br>\n */
                   5588: /*     <br>",fileres,fileres,fileres,fileres); */
                   5589: /*  else  */
                   5590: /*    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); */
                   5591:  fflush(fichtm);
                   5592:  fprintf(fichtm," <ul><li><b>Graphs</b></li><p>");
                   5593: 
1.145     brouard  5594:  m=pow(2,cptcoveff);
1.126     brouard  5595:  if (cptcovn < 1) {m=1;ncodemax[1]=1;}
                   5596: 
                   5597:  jj1=0;
                   5598:  for(k1=1; k1<=m;k1++){
1.192     brouard  5599:    /* for(i1=1; i1<=ncodemax[k1];i1++){ */
1.126     brouard  5600:      jj1++;
                   5601:      if (cptcovn > 0) {
                   5602:        fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");
                   5603:        for (cpt=1; cpt<=cptcoveff;cpt++) 
1.198     brouard  5604:         fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]);
1.126     brouard  5605:        fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");
                   5606:      }
                   5607:      for(cpt=1; cpt<=nlstate;cpt++) {
1.218   ! brouard  5608:        fprintf(fichtm,"\n<br>- Observed (cross-sectional) and period (incidence based) \
        !          5609: prevalence (with 95%% confidence interval) in state (%d): <a href=\"%s_%d-%d.svg\"> %s_%d-%d.svg</a>\n <br>\
1.205     brouard  5610: <img src=\"%s_%d-%d.svg\">",cpt,subdirf2(optionfilefiname,"V_"),cpt,jj1,subdirf2(optionfilefiname,"V_"),cpt,jj1,subdirf2(optionfilefiname,"V_"),cpt,jj1);  
1.126     brouard  5611:      }
                   5612:      fprintf(fichtm,"\n<br>- Total life expectancy by age and \
1.128     brouard  5613: health expectancies in states (1) and (2). If popbased=1 the smooth (due to the model) \
                   5614: true period expectancies (those weighted with period prevalences are also\
                   5615:  drawn in addition to the population based expectancies computed using\
1.218   ! brouard  5616:  observed and cahotic prevalences:  <a href=\"%s_%d.svg\">%s_%d.svg</a>\n<br>\
1.205     brouard  5617: <img src=\"%s_%d.svg\">",subdirf2(optionfilefiname,"E_"),jj1,subdirf2(optionfilefiname,"E_"),jj1,subdirf2(optionfilefiname,"E_"),jj1);
1.192     brouard  5618:    /* } /\* end i1 *\/ */
1.126     brouard  5619:  }/* End k1 */
                   5620:  fprintf(fichtm,"</ul>");
                   5621:  fflush(fichtm);
                   5622: }
                   5623: 
                   5624: /******************* Gnuplot file **************/
1.218   ! brouard  5625:  void printinggnuplot(char fileresu[], char optionfilefiname[], double ageminpar, double agemaxpar, double fage , int prevfcast, int backcast, char pathc[], double p[]){
1.126     brouard  5626: 
                   5627:   char dirfileres[132],optfileres[132];
1.164     brouard  5628:   int cpt=0,k1=0,i=0,k=0,j=0,jk=0,k2=0,k3=0,ij=0,l=0;
1.211     brouard  5629:   int lv=0, vlv=0, kl=0;
1.130     brouard  5630:   int ng=0;
1.201     brouard  5631:   int vpopbased;
1.126     brouard  5632: /*   if((ficgp=fopen(optionfilegnuplot,"a"))==NULL) { */
                   5633: /*     printf("Problem with file %s",optionfilegnuplot); */
                   5634: /*     fprintf(ficlog,"Problem with file %s",optionfilegnuplot); */
                   5635: /*   } */
                   5636: 
                   5637:   /*#ifdef windows */
                   5638:   fprintf(ficgp,"cd \"%s\" \n",pathc);
                   5639:     /*#endif */
                   5640:   m=pow(2,cptcoveff);
                   5641: 
1.202     brouard  5642:   /* Contribution to likelihood */
                   5643:   /* Plot the probability implied in the likelihood */
                   5644:     fprintf(ficgp,"\n# Contributions to the Likelihood, mle >=1. For mle=4 no interpolation, pure matrix products.\n#\n");
                   5645:     fprintf(ficgp,"\n set log y; unset log x;set xlabel \"Age\"; set ylabel \"Likelihood (-2Log(L))\";");
                   5646:     /* fprintf(ficgp,"\nset ter svg size 640, 480"); */ /* Too big for svg */
1.205     brouard  5647:     fprintf(ficgp,"\nset ter pngcairo size 640, 480");
1.204     brouard  5648: /* nice for mle=4 plot by number of matrix products.
1.202     brouard  5649:    replot  "rrtest1/toto.txt" u 2:($4 == 1 && $5==2 ? $9 : 1/0):5 t "p12" with point lc 1 */
                   5650: /* replot exp(p1+p2*x)/(1+exp(p1+p2*x)+exp(p3+p4*x)+exp(p5+p6*x)) t "p12(x)"  */
                   5651:     /* fprintf(ficgp,"\nset out \"%s.svg\";",subdirf2(optionfilefiname,"ILK_")); */
1.204     brouard  5652:     fprintf(ficgp,"\nset out \"%s-dest.png\";",subdirf2(optionfilefiname,"ILK_"));
1.214     brouard  5653:     fprintf(ficgp,"\nset log y;plot  \"%s\" u 2:(-$13):6 t \"All sample, transitions colored by destination\" with dots lc variable; set out;\n",subdirf(fileresilk));
1.204     brouard  5654:     fprintf(ficgp,"\nset out \"%s-ori.png\";",subdirf2(optionfilefiname,"ILK_"));
1.214     brouard  5655:     fprintf(ficgp,"\nset log y;plot  \"%s\" u 2:(-$13):5 t \"All sample, transitions colored by origin\" with dots lc variable; set out;\n\n",subdirf(fileresilk));
1.204     brouard  5656:     for (i=1; i<= nlstate ; i ++) {
                   5657:       fprintf(ficgp,"\nset out \"%s-p%dj.png\";set ylabel \"Probability for each individual/wave\";",subdirf2(optionfilefiname,"ILK_"),i);
1.205     brouard  5658:       fprintf(ficgp,"unset log;\n# plot weighted, mean weight should have point size of 0.5\n plot  \"%s\"",subdirf(fileresilk));
1.214     brouard  5659:       fprintf(ficgp,"  u  2:($5 == %d && $6==%d ? $10 : 1/0):($12/4.):6 t \"p%d%d\" with points pointtype 7 ps variable lc variable \\\n",i,1,i,1);
1.204     brouard  5660:       for (j=2; j<= nlstate+ndeath ; j ++) {
1.214     brouard  5661:        fprintf(ficgp,",\\\n \"\" u  2:($5 == %d && $6==%d ? $10 : 1/0):($12/4.):6 t \"p%d%d\" with points pointtype 7 ps variable lc variable ",i,j,i,j);
1.204     brouard  5662:       }
                   5663:       fprintf(ficgp,";\nset out; unset ylabel;\n"); 
                   5664:     }
                   5665:     /* unset log; plot  "rrtest1_sorted_4/ILK_rrtest1_sorted_4.txt" u  2:($4 == 1 && $5==2 ? $9 : 1/0):5 t "p12" with points lc variable */             
                   5666:     /* fprintf(ficgp,"\nset log y;plot  \"%s\" u 2:(-$11):3 t \"All sample, all transitions\" with dots lc variable",subdirf(fileresilk)); */
                   5667:     /* fprintf(ficgp,"\nreplot  \"%s\" u 2:($3 <= 3 ? -$11 : 1/0):3 t \"First 3 individuals\" with line lc variable", subdirf(fileresilk)); */
1.203     brouard  5668:     fprintf(ficgp,"\nset out;unset log\n");
1.202     brouard  5669:     /* fprintf(ficgp,"\nset out \"%s.svg\"; replot; set out; # bug gnuplot",subdirf2(optionfilefiname,"ILK_")); */
                   5670: 
1.126     brouard  5671:   strcpy(dirfileres,optionfilefiname);
                   5672:   strcpy(optfileres,"vpl");
                   5673:  /* 1eme*/
1.211     brouard  5674:   for (cpt=1; cpt<= nlstate ; cpt ++) { /* For each live state */
                   5675:     for (k1=1; k1<= m ; k1 ++) { /* For each combination of covariate */
                   5676:       /* plot [100000000000000000000:-100000000000000000000] "mysbiaspar/vplrmysbiaspar.txt to check */
                   5677:       fprintf(ficgp,"\n# 1st: Period (stable) prevalence with CI: 'VPL_' files ");
                   5678:       for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
                   5679:        lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
                   5680:        /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   5681:        /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   5682:        /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   5683:        vlv= nbcode[Tvaraff[lv]][lv];
                   5684:        fprintf(ficgp," V%d=%d ",k,vlv);
                   5685:       }
                   5686:       fprintf(ficgp,"\n#\n");
                   5687: 
1.201     brouard  5688:      fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" \n",subdirf2(optionfilefiname,"V_"),cpt,k1);
                   5689:      fprintf(ficgp,"\n#set out \"V_%s_%d-%d.svg\" \n",optionfilefiname,cpt,k1);
1.126     brouard  5690:      fprintf(ficgp,"set xlabel \"Age\" \n\
                   5691: set ylabel \"Probability\" \n\
1.199     brouard  5692: set ter svg size 640, 480\n\
1.201     brouard  5693: plot [%.f:%.f] \"%s\" every :::%d::%d u 1:2 \"%%lf",ageminpar,fage,subdirf2(fileresu,"VPL_"),k1-1,k1-1);
1.126     brouard  5694: 
                   5695:      for (i=1; i<= nlstate ; i ++) {
1.170     brouard  5696:        if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   5697:        else        fprintf(ficgp," %%*lf (%%*lf)");
1.126     brouard  5698:      }
1.201     brouard  5699:      fprintf(ficgp,"\" t\"Period (stable) prevalence\" w l lt 0,\"%s\" every :::%d::%d u 1:($2+1.96*$3) \"%%lf",subdirf2(fileresu,"VPL_"),k1-1,k1-1);
1.126     brouard  5700:      for (i=1; i<= nlstate ; i ++) {
1.170     brouard  5701:        if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   5702:        else fprintf(ficgp," %%*lf (%%*lf)");
1.126     brouard  5703:      } 
1.201     brouard  5704:      fprintf(ficgp,"\" t\"95%% CI\" w l lt 1,\"%s\" every :::%d::%d u 1:($2-1.96*$3) \"%%lf",subdirf2(fileresu,"VPL_"),k1-1,k1-1); 
1.126     brouard  5705:      for (i=1; i<= nlstate ; i ++) {
1.170     brouard  5706:        if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   5707:        else fprintf(ficgp," %%*lf (%%*lf)");
1.126     brouard  5708:      }  
1.218   ! brouard  5709:      fprintf(ficgp,"\" t\"\" w l lt 1,\"%s\" every :::%d::%d u 1:($%d) t\"Observed prevalence\" w l lt 2",subdirf2(fileresu,"P_"),k1-1,k1-1,2+4*(cpt-1));
        !          5710:                 if(backcast==1){
        !          5711:                         fprintf(ficgp,",\"%s\" every :::%d::%d u 1:($%d) t\"Backward stable prevalence\" w l lt 3",subdirf2(fileresu,"PLB_"),k1-1,k1-1,1+cpt);
        !          5712:                 }
1.201     brouard  5713:      fprintf(ficgp,"\nset out \n");
                   5714:     } /* k1 */
                   5715:   } /* cpt */
1.126     brouard  5716:   /*2 eme*/
                   5717:   for (k1=1; k1<= m ; k1 ++) { 
1.211     brouard  5718:       fprintf(ficgp,"\n# 2nd: Total life expectancy with CI: 't' files ");
                   5719:       for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
                   5720:        lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
                   5721:        /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   5722:        /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   5723:        /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   5724:        vlv= nbcode[Tvaraff[lv]][lv];
                   5725:        fprintf(ficgp," V%d=%d ",k,vlv);
                   5726:       }
                   5727:       fprintf(ficgp,"\n#\n");
                   5728: 
1.201     brouard  5729:     fprintf(ficgp,"\nset out \"%s_%d.svg\" \n",subdirf2(optionfilefiname,"E_"),k1);
                   5730:     for(vpopbased=0; vpopbased <= popbased; vpopbased++){ /* Done for vpopbased=0 and vpopbased=1 if popbased==1*/
                   5731:       if(vpopbased==0)
                   5732:        fprintf(ficgp,"set ylabel \"Years\" \nset ter svg size 640, 480\nplot [%.f:%.f] ",ageminpar,fage);
                   5733:       else
                   5734:        fprintf(ficgp,"\nreplot ");
                   5735:       for (i=1; i<= nlstate+1 ; i ++) {
                   5736:        k=2*i;
                   5737:        fprintf(ficgp,"\"%s\" every :::%d::%d u 1:($2==%d && $4!=0 ?$4 : 1/0) \"%%lf %%lf %%lf",subdirf2(fileresu,"T_"),k1-1,k1-1, vpopbased);
                   5738:        for (j=1; j<= nlstate+1 ; j ++) {
                   5739:          if (j==i) fprintf(ficgp," %%lf (%%lf)");
                   5740:          else fprintf(ficgp," %%*lf (%%*lf)");
                   5741:        }   
                   5742:        if (i== 1) fprintf(ficgp,"\" t\"TLE\" w l lt %d, \\\n",i);
                   5743:        else fprintf(ficgp,"\" t\"LE in state (%d)\" w l lt %d, \\\n",i-1,i+1);
                   5744:        fprintf(ficgp,"\"%s\" every :::%d::%d u 1:($2==%d && $4!=0 ? $4-$5*2 : 1/0) \"%%lf %%lf %%lf",subdirf2(fileresu,"T_"),k1-1,k1-1,vpopbased);
                   5745:        for (j=1; j<= nlstate+1 ; j ++) {
                   5746:          if (j==i) fprintf(ficgp," %%lf (%%lf)");
                   5747:          else fprintf(ficgp," %%*lf (%%*lf)");
                   5748:        }   
                   5749:        fprintf(ficgp,"\" t\"\" w l lt 0,");
                   5750:        fprintf(ficgp,"\"%s\" every :::%d::%d u 1:($2==%d && $4!=0 ? $4+$5*2 : 1/0) \"%%lf %%lf %%lf",subdirf2(fileresu,"T_"),k1-1,k1-1,vpopbased);
                   5751:        for (j=1; j<= nlstate+1 ; j ++) {
                   5752:          if (j==i) fprintf(ficgp," %%lf (%%lf)");
                   5753:          else fprintf(ficgp," %%*lf (%%*lf)");
                   5754:        }   
                   5755:        if (i== (nlstate+1)) fprintf(ficgp,"\" t\"\" w l lt 0");
                   5756:        else fprintf(ficgp,"\" t\"\" w l lt 0,\\\n");
                   5757:       } /* state */
                   5758:     } /* vpopbased */
                   5759:     fprintf(ficgp,"\nset out;set out \"%s_%d.svg\"; replot; set out; \n",subdirf2(optionfilefiname,"E_"),k1); /* Buggy gnuplot */
                   5760:   } /* k1 */
1.211     brouard  5761: 
                   5762: 
1.126     brouard  5763:   /*3eme*/
                   5764:   for (k1=1; k1<= m ; k1 ++) { 
                   5765:     for (cpt=1; cpt<= nlstate ; cpt ++) {
1.211     brouard  5766:       fprintf(ficgp,"\n# 3d: Life expectancy with EXP_ files:  cov=%d state=%d",k1, cpt);
                   5767:       for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
                   5768:        lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
                   5769:        /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   5770:        /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   5771:        /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   5772:        vlv= nbcode[Tvaraff[lv]][lv];
                   5773:        fprintf(ficgp," V%d=%d ",k,vlv);
                   5774:       }
                   5775:       fprintf(ficgp,"\n#\n");
                   5776: 
1.126     brouard  5777:       /*       k=2+nlstate*(2*cpt-2); */
                   5778:       k=2+(nlstate+1)*(cpt-1);
1.201     brouard  5779:       fprintf(ficgp,"\nset out \"%s_%d%d.svg\" \n",subdirf2(optionfilefiname,"EXP_"),cpt,k1);
1.199     brouard  5780:       fprintf(ficgp,"set ter svg size 640, 480\n\
1.201     brouard  5781: plot [%.f:%.f] \"%s\" every :::%d::%d u 1:%d t \"e%d1\" w l",ageminpar,fage,subdirf2(fileresu,"E_"),k1-1,k1-1,k,cpt);
1.126     brouard  5782:       /*fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d-2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);
                   5783:        for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");
                   5784:        fprintf(ficgp,"\" t \"e%d1\" w l",cpt);
                   5785:        fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d+2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);
                   5786:        for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");
                   5787:        fprintf(ficgp,"\" t \"e%d1\" w l",cpt);
                   5788:        
                   5789:       */
                   5790:       for (i=1; i< nlstate ; i ++) {
1.201     brouard  5791:        fprintf(ficgp," ,\"%s\" every :::%d::%d u 1:%d t \"e%d%d\" w l",subdirf2(fileresu,"E_"),k1-1,k1-1,k+i,cpt,i+1);
1.126     brouard  5792:        /*      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);*/
                   5793:        
                   5794:       } 
1.201     brouard  5795:       fprintf(ficgp," ,\"%s\" every :::%d::%d u 1:%d t \"e%d.\" w l",subdirf2(fileresu,"E_"),k1-1,k1-1,k+nlstate,cpt);
1.126     brouard  5796:     }
                   5797:   }
                   5798:   
1.201     brouard  5799:   /* Survival functions (period) from state i in state j by initial state i */
                   5800:   for (k1=1; k1<= m ; k1 ++) { /* For each multivariate if any */
                   5801:     for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state */
1.211     brouard  5802:       fprintf(ficgp,"\n#\n#\n# Survival functions in state j : 'LIJ_' files, cov=%d state=%d",k1, cpt);
                   5803:       for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
                   5804:        lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
                   5805:        /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   5806:        /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   5807:        /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   5808:        vlv= nbcode[Tvaraff[lv]][lv];
                   5809:        fprintf(ficgp," V%d=%d ",k,vlv);
                   5810:       }
                   5811:       fprintf(ficgp,"\n#\n");
                   5812: 
1.201     brouard  5813:       fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" \n",subdirf2(optionfilefiname,"LIJ_"),cpt,k1);
                   5814:       fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability to be alive\" \n\
                   5815: set ter svg size 640, 480\n\
                   5816: unset log y\n\
                   5817: plot [%.f:%.f]  ", ageminpar, agemaxpar);
1.211     brouard  5818:       k=3;
1.201     brouard  5819:       for (i=1; i<= nlstate ; i ++){
1.217     brouard  5820:        if(i==1){
1.201     brouard  5821:          fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJ_"));
1.217     brouard  5822:        }else{
1.201     brouard  5823:          fprintf(ficgp,", '' ");
1.217     brouard  5824:        }
1.201     brouard  5825:        l=(nlstate+ndeath)*(i-1)+1;
                   5826:        fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l);
                   5827:        for (j=2; j<= nlstate+ndeath ; j ++)
                   5828:          fprintf(ficgp,"+$%d",k+l+j-1);
                   5829:        fprintf(ficgp,")) t \"l(%d,%d)\" w l",i,cpt);
                   5830:       } /* nlstate */
                   5831:       fprintf(ficgp,"\nset out\n");
                   5832:     } /* end cpt state*/ 
                   5833:   } /* end covariate */  
                   5834: 
                   5835:   /* Survival functions (period) from state i in state j by final state j */
1.202     brouard  5836:   for (k1=1; k1<= m ; k1 ++) { /* For each covariate if any */
1.201     brouard  5837:     for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each inital state  */
                   5838:       fprintf(ficgp,"\n#\n#\n# Survival functions in state j and all livestates from state i by final state j: 'lij' files, cov=%d state=%d",k1, cpt);
1.211     brouard  5839:       for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
                   5840:        lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
                   5841:        /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   5842:        /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   5843:        /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   5844:        vlv= nbcode[Tvaraff[lv]][lv];
                   5845:        fprintf(ficgp," V%d=%d ",k,vlv);
                   5846:       }
                   5847:       fprintf(ficgp,"\n#\n");
                   5848: 
1.201     brouard  5849:       fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" \n",subdirf2(optionfilefiname,"LIJT_"),cpt,k1);
                   5850:       fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability to be alive\" \n\
                   5851: set ter svg size 640, 480\n\
                   5852: unset log y\n\
                   5853: plot [%.f:%.f]  ", ageminpar, agemaxpar);
1.211     brouard  5854:       k=3;
1.201     brouard  5855:       for (j=1; j<= nlstate ; j ++){ /* Lived in state j */
                   5856:        if(j==1)
                   5857:          fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJ_"));
                   5858:        else
                   5859:          fprintf(ficgp,", '' ");
                   5860:        l=(nlstate+ndeath)*(cpt-1) +j;
                   5861:        fprintf(ficgp," u (($1==%d && (floor($2)%%5 == 0)) ? ($3):1/0):($%d",k1,k+l);
                   5862:        /* for (i=2; i<= nlstate+ndeath ; i ++) */
                   5863:        /*   fprintf(ficgp,"+$%d",k+l+i-1); */
                   5864:        fprintf(ficgp,") t \"l(%d,%d)\" w l",cpt,j);
                   5865:       } /* nlstate */
                   5866:       fprintf(ficgp,", '' ");
                   5867:       fprintf(ficgp," u (($1==%d && (floor($2)%%5 == 0)) ? ($3):1/0):(",k1);
                   5868:       for (j=1; j<= nlstate ; j ++){ /* Lived in state j */
                   5869:        l=(nlstate+ndeath)*(cpt-1) +j;
                   5870:        if(j < nlstate)
                   5871:          fprintf(ficgp,"$%d +",k+l);
                   5872:        else
                   5873:          fprintf(ficgp,"$%d) t\"l(%d,.)\" w l",k+l,cpt);
                   5874:       }
                   5875:       fprintf(ficgp,"\nset out\n");
                   5876:     } /* end cpt state*/ 
                   5877:   } /* end covariate */  
                   5878: 
1.202     brouard  5879:   /* CV preval stable (period) for each covariate */
1.211     brouard  5880:   for (k1=1; k1<= m ; k1 ++) { /* For each covariate combination (1 to m=2**k), if any covariate is present */
1.153     brouard  5881:     for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state */
1.211     brouard  5882:       fprintf(ficgp,"\n#\n#\n#CV preval stable (period): 'pij' files, covariatecombination#=%d state=%d",k1, cpt);
                   5883:       for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
                   5884:        lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
                   5885:        /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   5886:        /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   5887:        /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   5888:        vlv= nbcode[Tvaraff[lv]][lv];
                   5889:        fprintf(ficgp," V%d=%d ",k,vlv);
                   5890:       }
                   5891:       fprintf(ficgp,"\n#\n");
                   5892: 
1.201     brouard  5893:       fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" \n",subdirf2(optionfilefiname,"P_"),cpt,k1);
1.126     brouard  5894:       fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \n\
1.199     brouard  5895: set ter svg size 640, 480\n\
1.126     brouard  5896: unset log y\n\
1.153     brouard  5897: plot [%.f:%.f]  ", ageminpar, agemaxpar);
1.211     brouard  5898:       k=3; /* Offset */
1.153     brouard  5899:       for (i=1; i<= nlstate ; i ++){
                   5900:        if(i==1)
1.201     brouard  5901:          fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJ_"));
1.153     brouard  5902:        else
                   5903:          fprintf(ficgp,", '' ");
1.154     brouard  5904:        l=(nlstate+ndeath)*(i-1)+1;
                   5905:        fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l);
1.201     brouard  5906:        for (j=2; j<= nlstate ; j ++)
                   5907:          fprintf(ficgp,"+$%d",k+l+j-1);
1.153     brouard  5908:        fprintf(ficgp,")) t \"prev(%d,%d)\" w l",i,cpt);
                   5909:       } /* nlstate */
1.201     brouard  5910:       fprintf(ficgp,"\nset out\n");
1.153     brouard  5911:     } /* end cpt state*/ 
                   5912:   } /* end covariate */  
1.218   ! brouard  5913:   if(backcast == 1){
1.217     brouard  5914:     /* CV back preval stable (period) for each covariate */
1.218   ! brouard  5915:     for (k1=1; k1<= m ; k1 ++) { /* For each covariate combination (1 to m=2**k), if any covariate is present */
        !          5916:       for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state */
        !          5917:        fprintf(ficgp,"\n#\n#\n#CV Back preval stable (period): 'pij' files, covariatecombination#=%d state=%d",k1, cpt);
        !          5918:        for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
        !          5919:          lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
        !          5920:          /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
        !          5921:          /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
        !          5922:          /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
        !          5923:          vlv= nbcode[Tvaraff[lv]][lv];
        !          5924:          fprintf(ficgp," V%d=%d ",k,vlv);
        !          5925:        }
        !          5926:        fprintf(ficgp,"\n#\n");
        !          5927:        
        !          5928:        fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" \n",subdirf2(optionfilefiname,"PB_"),cpt,k1);
        !          5929:        fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \n\
        !          5930: set ter svg size 640, 480\n                                            \
        !          5931: unset log y\n                                                          \
        !          5932: plot [%.f:%.f]  ", ageminpar, agemaxpar);
        !          5933:        k=3; /* Offset */
        !          5934:        for (i=1; i<= nlstate ; i ++){
        !          5935:          if(i==1)
        !          5936:            fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJB_"));
        !          5937:          else
        !          5938:            fprintf(ficgp,", '' ");
        !          5939:          /* l=(nlstate+ndeath)*(i-1)+1; */
        !          5940:          l=(nlstate+ndeath)*(cpt-1)+1;
        !          5941:          /* fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l); /\* a vérifier *\/ */
        !          5942:          /* fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l+(cpt-1)+i-1); /\* a vérifier *\/ */
        !          5943:          fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d",k1,k+l+(cpt-1)+i-1); /* a vérifier */
        !          5944:          /* for (j=2; j<= nlstate ; j ++) */
        !          5945:          /*    fprintf(ficgp,"+$%d",k+l+j-1); */
        !          5946:          /*    /\* fprintf(ficgp,"+$%d",k+l+j-1); *\/ */
        !          5947:          fprintf(ficgp,") t \"bprev(%d,%d)\" w l",i,cpt);
        !          5948:        } /* nlstate */
        !          5949:        fprintf(ficgp,"\nset out\n");
        !          5950:       } /* end cpt state*/ 
        !          5951:     } /* end covariate */  
        !          5952:   } /* End if backcast */
        !          5953:   
        !          5954:   if(prevfcast==1){
        !          5955:     /* Projection from cross-sectional to stable (period) for each covariate */
        !          5956:     
        !          5957:     for (k1=1; k1<= m ; k1 ++) { /* For each covariate combination (1 to m=2**k), if any covariate is present */
1.211     brouard  5958:       for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state */
                   5959:        fprintf(ficgp,"\n#\n#\n#Projection of prevalence to stable (period): 'PROJ_' files, covariatecombination#=%d state=%d",k1, cpt);
                   5960:        for (k=1; k<=cptcoveff; k++){    /* For each correspondig covariate value  */
                   5961:          lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to k1 combination and kth covariate */
                   5962:          /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   5963:          /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   5964:          /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   5965:          vlv= nbcode[Tvaraff[lv]][lv];
                   5966:          fprintf(ficgp," V%d=%d ",k,vlv);
                   5967:        }
                   5968:        fprintf(ficgp,"\n#\n");
                   5969:        
                   5970:        fprintf(ficgp,"# hpijx=probability over h years, hp.jx is weighted by observed prev\n ");
                   5971:        fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" \n",subdirf2(optionfilefiname,"PROJ_"),cpt,k1);
                   5972:        fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Prevalence\" \n\
                   5973: set ter svg size 640, 480\n\
                   5974: unset log y\n\
                   5975: plot [%.f:%.f]  ", ageminpar, agemaxpar);
                   5976:        for (i=1; i<= nlstate+1 ; i ++){  /* nlstate +1 p11 p21 p.1 */
                   5977:          /*#  V1  = 1  V2 =  0 yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
                   5978:          /*#   1    2   3    4    5      6  7   8   9   10   11 12  13   14  15 */   
                   5979:          /*# yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
                   5980:          /*#   1       2   3    4    5      6  7   8   9   10   11 12  13   14  15 */   
                   5981:          if(i==1){
                   5982:            fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"F_"));
                   5983:          }else{
                   5984:            fprintf(ficgp,",\\\n '' ");
                   5985:          }
                   5986:          if(cptcoveff ==0){ /* No covariate */
                   5987:            fprintf(ficgp," u 2:("); /* Age is in 2 */
                   5988:            /*# yearproj age p11 p21 p31 p.1 p12 p22 p32 p.2 p13 p23 p33 p.3 p14 p24 p34 p.4*/
                   5989:            /*#   1       2   3   4   5  6    7  8   9   10  11  12  13  14  15  16  17  18 */
                   5990:            if(i==nlstate+1)
                   5991:              fprintf(ficgp," $%d/(1.-$%d)) t 'p.%d' with line ", \
                   5992:                        2+(cpt-1)*(nlstate+1)+1+(i-1),  2+1+(i-1)+(nlstate+1)*nlstate,cpt );
                   5993:            else
                   5994:              fprintf(ficgp," $%d/(1.-$%d)) t 'p%d%d' with line ", \
                   5995:                      2+(cpt-1)*(nlstate+1)+1+(i-1),  2+1+(i-1)+(nlstate+1)*nlstate,i,cpt );
                   5996:          }else{
                   5997:            fprintf(ficgp,"u 6:(("); /* Age is in 6 */
                   5998:            /*#  V1  = 1  V2 =  0 yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
                   5999:            /*#   1    2   3    4    5      6  7   8   9   10   11 12  13   14  15 */   
                   6000:            kl=0;
                   6001:            for (k=1; k<=cptcoveff; k++){    /* For each covariate  */
                   6002:              lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to k1 combination and kth covariate */
                   6003:              /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   6004:              /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   6005:              /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   6006:              vlv= nbcode[Tvaraff[lv]][lv];
                   6007:              kl++;
                   6008:              /* kl=6+(cpt-1)*(nlstate+1)+1+(i-1); /\* 6+(1-1)*(2+1)+1+(1-1)=7, 6+(2-1)(2+1)+1+(1-1)=10 *\/ */
                   6009:              /*6+(cpt-1)*(nlstate+1)+1+(i-1)+(nlstate+1)*nlstate; 6+(1-1)*(2+1)+1+(1-1) +(2+1)*2=13 */ 
                   6010:              /*6+1+(i-1)+(nlstate+1)*nlstate; 6+1+(1-1) +(2+1)*2=13 */ 
                   6011:              /* ''  u 6:(($1==1 && $2==0 && $3==2 && $4==0)? $9/(1.-$15) : 1/0):($5==2000? 3:2) t 'p.1' with line lc variable*/
                   6012:              if(k==cptcoveff)
                   6013:                if(i==nlstate+1)
                   6014:                  fprintf(ficgp,"$%d==%d && $%d==%d)? $%d/(1.-$%d) : 1/0) t 'p.%d' with line ",kl, k,kl+1,nbcode[Tvaraff[lv]][lv], \
                   6015:                          6+(cpt-1)*(nlstate+1)+1+(i-1),  6+1+(i-1)+(nlstate+1)*nlstate,cpt );
                   6016:                else
                   6017:                  fprintf(ficgp,"$%d==%d && $%d==%d)? $%d/(1.-$%d) : 1/0) t 'p%d%d' with line ",kl, k,kl+1,nbcode[Tvaraff[lv]][lv], \
                   6018:                          6+(cpt-1)*(nlstate+1)+1+(i-1),  6+1+(i-1)+(nlstate+1)*nlstate,i,cpt );
                   6019:              else{
                   6020:                fprintf(ficgp,"$%d==%d && $%d==%d && ",kl, k,kl+1,nbcode[Tvaraff[lv]][lv]);
                   6021:                kl++;
                   6022:              }
                   6023:            } /* end covariate */
                   6024:          } /* end if covariate */
                   6025:        } /* nlstate */
                   6026:        fprintf(ficgp,"\nset out\n");
                   6027:       } /* end cpt state*/
                   6028:     } /* end covariate */
                   6029:   } /* End if prevfcast */
                   6030: 
                   6031: 
1.126     brouard  6032:   /* proba elementaires */
1.187     brouard  6033:   fprintf(ficgp,"\n##############\n#MLE estimated parameters\n#############\n");
1.126     brouard  6034:   for(i=1,jk=1; i <=nlstate; i++){
1.187     brouard  6035:     fprintf(ficgp,"# initial state %d\n",i);
1.126     brouard  6036:     for(k=1; k <=(nlstate+ndeath); k++){
                   6037:       if (k != i) {
1.187     brouard  6038:        fprintf(ficgp,"#   current state %d\n",k);
1.126     brouard  6039:        for(j=1; j <=ncovmodel; j++){
1.187     brouard  6040:          fprintf(ficgp,"p%d=%f; ",jk,p[jk]);
1.126     brouard  6041:          jk++; 
                   6042:        }
1.187     brouard  6043:        fprintf(ficgp,"\n");
1.126     brouard  6044:       }
                   6045:     }
                   6046:    }
1.187     brouard  6047:   fprintf(ficgp,"##############\n#\n");
                   6048: 
1.145     brouard  6049:   /*goto avoid;*/
1.200     brouard  6050:   fprintf(ficgp,"\n##############\n#Graphics of probabilities or incidences\n#############\n");
1.187     brouard  6051:   fprintf(ficgp,"# logi(p12/p11)=a12+b12*age+c12age*age+d12*V1+e12*V1*age\n");
                   6052:   fprintf(ficgp,"# logi(p12/p11)=p1 +p2*age +p3*age*age+ p4*V1+ p5*V1*age\n");
                   6053:   fprintf(ficgp,"# logi(p13/p11)=a13+b13*age+c13age*age+d13*V1+e13*V1*age\n");
                   6054:   fprintf(ficgp,"# logi(p13/p11)=p6 +p7*age +p8*age*age+ p9*V1+ p10*V1*age\n");
                   6055:   fprintf(ficgp,"# p12+p13+p14+p11=1=p11(1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
                   6056:   fprintf(ficgp,"#                      +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age)+...)\n");
                   6057:   fprintf(ficgp,"# p11=1/(1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
                   6058:   fprintf(ficgp,"#                      +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age)+...)\n");
                   6059:   fprintf(ficgp,"# p12=exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)/\n");
                   6060:   fprintf(ficgp,"#     (1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
                   6061:   fprintf(ficgp,"#       +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age))\n");
                   6062:   fprintf(ficgp,"#       +exp(a14+b14*age+c14age*age+d14*V1+e14*V1*age)+...)\n");
                   6063:   fprintf(ficgp,"#\n");
1.201     brouard  6064:    for(ng=1; ng<=3;ng++){ /* Number of graphics: first is logit, 2nd is probabilities, third is incidences per year*/
1.187     brouard  6065:      fprintf(ficgp,"# ng=%d\n",ng);
                   6066:      fprintf(ficgp,"#   jk=1 to 2^%d=%d\n",cptcoveff,m);
1.126     brouard  6067:      for(jk=1; jk <=m; jk++) {
1.187     brouard  6068:        fprintf(ficgp,"#    jk=%d\n",jk);
1.201     brouard  6069:        fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" ",subdirf2(optionfilefiname,"PE_"),jk,ng);
                   6070:        fprintf(ficgp,"\nset ter svg size 640, 480 ");
                   6071:        if (ng==1){
                   6072:         fprintf(ficgp,"\nset ylabel \"Value of the logit of the model\"\n"); /* exp(a12+b12*x) could be nice */
                   6073:         fprintf(ficgp,"\nunset log y");
                   6074:        }else if (ng==2){
                   6075:         fprintf(ficgp,"\nset ylabel \"Probability\"\n");
                   6076:         fprintf(ficgp,"\nset log y");
                   6077:        }else if (ng==3){
1.126     brouard  6078:         fprintf(ficgp,"\nset ylabel \"Quasi-incidence per year\"\n");
1.201     brouard  6079:         fprintf(ficgp,"\nset log y");
                   6080:        }else
                   6081:         fprintf(ficgp,"\nunset title ");
                   6082:        fprintf(ficgp,"\nplot  [%.f:%.f] ",ageminpar,agemaxpar);
1.126     brouard  6083:        i=1;
                   6084:        for(k2=1; k2<=nlstate; k2++) {
                   6085:         k3=i;
                   6086:         for(k=1; k<=(nlstate+ndeath); k++) {
                   6087:           if (k != k2){
1.201     brouard  6088:             switch( ng) {
                   6089:             case 1:
1.187     brouard  6090:               if(nagesqr==0)
1.201     brouard  6091:                 fprintf(ficgp," p%d+p%d*x",i,i+1);
1.187     brouard  6092:               else /* nagesqr =1 */
1.201     brouard  6093:                 fprintf(ficgp," p%d+p%d*x+p%d*x*x",i,i+1,i+1+nagesqr);
                   6094:               break;
                   6095:             case 2: /* ng=2 */
1.187     brouard  6096:               if(nagesqr==0)
                   6097:                 fprintf(ficgp," exp(p%d+p%d*x",i,i+1);
                   6098:               else /* nagesqr =1 */
1.201     brouard  6099:                   fprintf(ficgp," exp(p%d+p%d*x+p%d*x*x",i,i+1,i+1+nagesqr);
                   6100:               break;
                   6101:             case 3:
                   6102:               if(nagesqr==0)
                   6103:                 fprintf(ficgp," %f*exp(p%d+p%d*x",YEARM/stepm,i,i+1);
                   6104:               else /* nagesqr =1 */
                   6105:                 fprintf(ficgp," %f*exp(p%d+p%d*x+p%d*x*x",YEARM/stepm,i,i+1,i+1+nagesqr);
                   6106:               break;
                   6107:             }
1.141     brouard  6108:             ij=1;/* To be checked else nbcode[0][0] wrong */
1.187     brouard  6109:             for(j=3; j <=ncovmodel-nagesqr; j++) {
1.197     brouard  6110:               /* printf("Tage[%d]=%d, j=%d\n", ij, Tage[ij], j); */
                   6111:               if(ij <=cptcovage) { /* Bug valgrind */
                   6112:                 if((j-2)==Tage[ij]) { /* Bug valgrind */
1.200     brouard  6113:                   fprintf(ficgp,"+p%d*%d*x",i+j+nagesqr-1,nbcode[Tvar[j-2]][codtabm(jk,j-2)]);
                   6114:                   /* fprintf(ficgp,"+p%d*%d*x",i+j+nagesqr-1,nbcode[Tvar[j-2]][codtabm(jk,Tvar[j-2])]); */
1.197     brouard  6115:                   ij++;
                   6116:                 }
1.186     brouard  6117:               }
                   6118:               else
1.198     brouard  6119:                 fprintf(ficgp,"+p%d*%d",i+j+nagesqr-1,nbcode[Tvar[j-2]][codtabm(jk,j-2)]);
1.126     brouard  6120:             }
1.217     brouard  6121:           }else{
                   6122:             i=i-ncovmodel;
                   6123:             if(ng !=1 ) /* For logit formula of log p11 is more difficult to get */
                   6124:               fprintf(ficgp," (1.");
                   6125:           }
                   6126:           
                   6127:           if(ng != 1){
                   6128:             fprintf(ficgp,")/(1");
1.126     brouard  6129:             
1.217     brouard  6130:             for(k1=1; k1 <=nlstate; k1++){ 
                   6131:               if(nagesqr==0)
                   6132:                 fprintf(ficgp,"+exp(p%d+p%d*x",k3+(k1-1)*ncovmodel,k3+(k1-1)*ncovmodel+1);
                   6133:               else /* nagesqr =1 */
                   6134:                 fprintf(ficgp,"+exp(p%d+p%d*x+p%d*x*x",k3+(k1-1)*ncovmodel,k3+(k1-1)*ncovmodel+1,k3+(k1-1)*ncovmodel+1+nagesqr);
                   6135:               
                   6136:               ij=1;
                   6137:               for(j=3; j <=ncovmodel-nagesqr; j++){
                   6138:                 if(ij <=cptcovage) { /* Bug valgrind */
                   6139:                   if((j-2)==Tage[ij]) { /* Bug valgrind */
                   6140:                     fprintf(ficgp,"+p%d*%d*x",k3+(k1-1)*ncovmodel+1+j-2+nagesqr,nbcode[Tvar[j-2]][codtabm(jk,j-2)]);
                   6141:                     /* fprintf(ficgp,"+p%d*%d*x",k3+(k1-1)*ncovmodel+1+j-2+nagesqr,nbcode[Tvar[j-2]][codtabm(jk,Tvar[j-2])]); */
                   6142:                     ij++;
1.197     brouard  6143:                   }
1.186     brouard  6144:                 }
1.217     brouard  6145:                 else
                   6146:                   fprintf(ficgp,"+p%d*%d",k3+(k1-1)*ncovmodel+1+j-2+nagesqr,nbcode[Tvar[j-2]][codtabm(jk,j-2)]);
1.126     brouard  6147:               }
                   6148:               fprintf(ficgp,")");
1.217     brouard  6149:             }
                   6150:             fprintf(ficgp,")");
                   6151:             if(ng ==2)
                   6152:               fprintf(ficgp," t \"p%d%d\" ", k2,k);
                   6153:             else /* ng= 3 */
                   6154:               fprintf(ficgp," t \"i%d%d\" ", k2,k);
                   6155:           }else{ /* end ng <> 1 */
                   6156:             if( k !=k2) /* logit p11 is hard to draw */
1.201     brouard  6157:               fprintf(ficgp," t \"logit(p%d%d)\" ", k2,k);
1.126     brouard  6158:           }
1.217     brouard  6159:           if ((k+k2)!= (nlstate*2+ndeath) && ng != 1)
                   6160:             fprintf(ficgp,",");
                   6161:           if (ng == 1 && k!=k2 && (k+k2)!= (nlstate*2+ndeath))
                   6162:             fprintf(ficgp,",");
                   6163:           i=i+ncovmodel;
1.126     brouard  6164:         } /* end k */
                   6165:        } /* end k2 */
1.201     brouard  6166:        fprintf(ficgp,"\n set out\n");
1.126     brouard  6167:      } /* end jk */
                   6168:    } /* end ng */
1.164     brouard  6169:  /* avoid: */
1.126     brouard  6170:    fflush(ficgp); 
                   6171: }  /* end gnuplot */
                   6172: 
                   6173: 
                   6174: /*************** Moving average **************/
1.218   ! brouard  6175:                /* int movingaverage(double ***probs, double bage, double fage, double ***mobaverage, int mobilav, double bageout, double fageout){ */
        !          6176: int movingaverage(double ***probs, double bage, double fage, double ***mobaverage, int mobilav){
        !          6177:    
1.126     brouard  6178:   int i, cpt, cptcod;
                   6179:   int modcovmax =1;
                   6180:   int mobilavrange, mob;
                   6181:   double age;
1.218   ! brouard  6182:   int iage=0;
        !          6183:   double *sumnewp, *sumnewm;
        !          6184:   double *agemingood, *agemaxgood; /* Currently identical for all covariates */
        !          6185:   
        !          6186:   sumnewp = vector(1,modcovmax);
        !          6187:   sumnewm = vector(1,modcovmax);
        !          6188:   agemingood = vector(1,modcovmax);    
        !          6189:   agemaxgood = vector(1,modcovmax);
        !          6190:   
        !          6191:   
1.126     brouard  6192:   modcovmax=2*cptcoveff;/* Max number of modalities. We suppose 
1.218   ! brouard  6193:                           a covariate has 2 modalities, should be equal to ncovcombmax  */
1.126     brouard  6194:   if (cptcovn<1) modcovmax=1; /* At least 1 pass */
1.218   ! brouard  6195:   
1.126     brouard  6196:   if(mobilav==1||mobilav ==3 ||mobilav==5 ||mobilav== 7){
                   6197:     if(mobilav==1) mobilavrange=5; /* default */
                   6198:     else mobilavrange=mobilav;
                   6199:     for (age=bage; age<=fage; age++)
                   6200:       for (i=1; i<=nlstate;i++)
                   6201:        for (cptcod=1;cptcod<=modcovmax;cptcod++)
                   6202:          mobaverage[(int)age][i][cptcod]=probs[(int)age][i][cptcod];
                   6203:     /* We keep the original values on the extreme ages bage, fage and for 
                   6204:        fage+1 and bage-1 we use a 3 terms moving average; for fage+2 bage+2
                   6205:        we use a 5 terms etc. until the borders are no more concerned. 
                   6206:     */ 
                   6207:     for (mob=3;mob <=mobilavrange;mob=mob+2){
                   6208:       for (age=bage+(mob-1)/2; age<=fage-(mob-1)/2; age++){
                   6209:        for (i=1; i<=nlstate;i++){
                   6210:          for (cptcod=1;cptcod<=modcovmax;cptcod++){
                   6211:            mobaverage[(int)age][i][cptcod] =probs[(int)age][i][cptcod];
1.218   ! brouard  6212:            for (cpt=1;cpt<=(mob-1)/2;cpt++){
        !          6213:              mobaverage[(int)age][i][cptcod] +=probs[(int)age-cpt][i][cptcod];
        !          6214:              mobaverage[(int)age][i][cptcod] +=probs[(int)age+cpt][i][cptcod];
        !          6215:            }
1.126     brouard  6216:            mobaverage[(int)age][i][cptcod]=mobaverage[(int)age][i][cptcod]/mob;
                   6217:          }
                   6218:        }
                   6219:       }/* end age */
                   6220:     }/* end mob */
1.218   ! brouard  6221:   }else
        !          6222:     return -1;
        !          6223:   for (cptcod=1;cptcod<=modcovmax;cptcod++){
        !          6224:     /* for (age=bage+(mob-1)/2; age<=fage-(mob-1)/2; age++){ */
        !          6225:     agemingood[cptcod]=fage+(mob-1)/2;
        !          6226:     for (age=fage-(mob-1)/2; age>=bage; age--){/* From oldest to youngest, finding the youngest wrong */
        !          6227:       sumnewm[cptcod]=0.;
        !          6228:       for (i=1; i<=nlstate;i++){
        !          6229:         sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
        !          6230:       }
        !          6231:       if(fabs(sumnewm[cptcod] - 1.) <= 1.e-3) { /* good */
        !          6232:        agemingood[cptcod]=age;
        !          6233:       }else{ /* bad */
        !          6234:        for (i=1; i<=nlstate;i++){
        !          6235:          mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemingood[cptcod]][i][cptcod];
        !          6236:        } /* i */
        !          6237:       } /* end bad */
        !          6238:     }/* age */
        !          6239:     /* From youngest, finding the oldest wrong */
        !          6240:     agemaxgood[cptcod]=bage+(mob-1)/2;
        !          6241:     for (age=bage+(mob-1)/2; age<=fage; age++){
        !          6242:       sumnewm[cptcod]=0.;
        !          6243:       for (i=1; i<=nlstate;i++){
        !          6244:         sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
        !          6245:       }
        !          6246:       if(fabs(sumnewm[cptcod] - 1.) <= 1.e-3) { /* good */
        !          6247:        agemaxgood[cptcod]=age;
        !          6248:       }else{ /* bad */
        !          6249:        for (i=1; i<=nlstate;i++){
        !          6250:          mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemaxgood[cptcod]][i][cptcod];
        !          6251:        } /* i */
        !          6252:       } /* end bad */
        !          6253:     }/* age */
        !          6254:     for (age=bage; age<=fage; age++){
        !          6255:       printf("%d %d ", cptcod, (int)age);
        !          6256:       sumnewp[cptcod]=0.;
        !          6257:       sumnewm[cptcod]=0.;
        !          6258:       for (i=1; i<=nlstate;i++){
        !          6259:        sumnewp[cptcod]+=probs[(int)age][i][cptcod];
        !          6260:         sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
        !          6261:        printf("%.4f %.4f ",probs[(int)age][i][cptcod], mobaverage[(int)age][i][cptcod]);
        !          6262:       }
        !          6263:       printf("%.4f %.4f \n",sumnewp[cptcod], sumnewm[cptcod]);
        !          6264:     }
        !          6265:     printf("\n");
        !          6266:     /* brutal averaging */
        !          6267:     for (i=1; i<=nlstate;i++){
        !          6268:       for (age=1; age<=bage; age++){
        !          6269:        mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemingood[cptcod]][i][cptcod];
        !          6270:        printf("age=%d i=%d cptcod=%d mobaverage=%.4f \n",(int)age,i, cptcod, mobaverage[(int)age][i][cptcod]);
        !          6271:       }        
        !          6272:       for (age=fage; age<=AGESUP; age++){
        !          6273:        mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemaxgood[cptcod]][i][cptcod];
        !          6274:        printf("age=%d i=%d cptcod=%d mobaverage=%.4f \n",(int)age,i, cptcod, mobaverage[(int)age][i][cptcod]);
        !          6275:       }
        !          6276:     } /* end i status */
        !          6277:     for (i=nlstate+1; i<=nlstate+ndeath;i++){
        !          6278:       for (age=1; age<=AGESUP; age++){
        !          6279:        /*printf("i=%d, age=%d, cptcod=%d\n",i, (int)age, cptcod);*/
        !          6280:        mobaverage[(int)age][i][cptcod]=0.;
        !          6281:       }
        !          6282:     }
        !          6283:   }/* end cptcod */
        !          6284:   free_vector(sumnewm,1, modcovmax);
        !          6285:   free_vector(sumnewp,1, modcovmax);
        !          6286:   free_vector(agemaxgood,1, modcovmax);
        !          6287:   free_vector(agemingood,1, modcovmax);
1.126     brouard  6288:   return 0;
                   6289: }/* End movingaverage */
1.218   ! brouard  6290:  
1.126     brouard  6291: 
                   6292: /************** Forecasting ******************/
1.169     brouard  6293: void prevforecast(char fileres[], double anproj1, double mproj1, double jproj1, double ageminpar, double agemax, double dateprev1, double dateprev2, int mobilav, double bage, double fage, int firstpass, int lastpass, double anproj2, double p[], int cptcoveff){
1.126     brouard  6294:   /* proj1, year, month, day of starting projection 
                   6295:      agemin, agemax range of age
                   6296:      dateprev1 dateprev2 range of dates during which prevalence is computed
                   6297:      anproj2 year of en of projection (same day and month as proj1).
                   6298:   */
1.164     brouard  6299:   int yearp, stepsize, hstepm, nhstepm, j, k, cptcod, i, h, i1;
1.126     brouard  6300:   double agec; /* generic age */
                   6301:   double agelim, ppij, yp,yp1,yp2,jprojmean,mprojmean,anprojmean;
                   6302:   double *popeffectif,*popcount;
                   6303:   double ***p3mat;
1.218   ! brouard  6304:   /* double ***mobaverage; */
1.126     brouard  6305:   char fileresf[FILENAMELENGTH];
                   6306: 
                   6307:   agelim=AGESUP;
1.211     brouard  6308:   /* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people
                   6309:      in each health status at the date of interview (if between dateprev1 and dateprev2).
                   6310:      We still use firstpass and lastpass as another selection.
                   6311:   */
1.214     brouard  6312:   /* freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint,strstart,\ */
                   6313:   /*         firstpass, lastpass,  stepm,  weightopt, model); */
1.126     brouard  6314:  
1.201     brouard  6315:   strcpy(fileresf,"F_"); 
                   6316:   strcat(fileresf,fileresu);
1.126     brouard  6317:   if((ficresf=fopen(fileresf,"w"))==NULL) {
                   6318:     printf("Problem with forecast resultfile: %s\n", fileresf);
                   6319:     fprintf(ficlog,"Problem with forecast resultfile: %s\n", fileresf);
                   6320:   }
1.215     brouard  6321:   printf("Computing forecasting: result on file '%s', please wait... \n", fileresf);
                   6322:   fprintf(ficlog,"Computing forecasting: result on file '%s', please wait... \n", fileresf);
1.126     brouard  6323: 
                   6324:   if (cptcoveff==0) ncodemax[cptcoveff]=1;
                   6325: 
                   6326: 
                   6327:   stepsize=(int) (stepm+YEARM-1)/YEARM;
                   6328:   if (stepm<=12) stepsize=1;
                   6329:   if(estepm < stepm){
                   6330:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   6331:   }
                   6332:   else  hstepm=estepm;   
                   6333: 
                   6334:   hstepm=hstepm/stepm; 
                   6335:   yp1=modf(dateintmean,&yp);/* extracts integral of datemean in yp  and
                   6336:                                fractional in yp1 */
                   6337:   anprojmean=yp;
                   6338:   yp2=modf((yp1*12),&yp);
                   6339:   mprojmean=yp;
                   6340:   yp1=modf((yp2*30.5),&yp);
                   6341:   jprojmean=yp;
                   6342:   if(jprojmean==0) jprojmean=1;
                   6343:   if(mprojmean==0) jprojmean=1;
                   6344: 
                   6345:   i1=cptcoveff;
                   6346:   if (cptcovn < 1){i1=1;}
                   6347:   
                   6348:   fprintf(ficresf,"# Mean day of interviews %.lf/%.lf/%.lf (%.2f) between %.2f and %.2f \n",jprojmean,mprojmean,anprojmean,dateintmean,dateprev1,dateprev2); 
                   6349:   
                   6350:   fprintf(ficresf,"#****** Routine prevforecast **\n");
                   6351: 
                   6352: /*           if (h==(int)(YEARM*yearp)){ */
                   6353:   for(cptcov=1, k=0;cptcov<=i1;cptcov++){
                   6354:     for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){
                   6355:       k=k+1;
1.211     brouard  6356:       fprintf(ficresf,"\n#****** hpijx=probability over h years, hp.jx is weighted by observed prev \n#");
1.126     brouard  6357:       for(j=1;j<=cptcoveff;j++) {
1.211     brouard  6358:        fprintf(ficresf," V%d (=) %d",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.126     brouard  6359:       }
1.211     brouard  6360:       fprintf(ficresf," yearproj age");
1.126     brouard  6361:       for(j=1; j<=nlstate+ndeath;j++){ 
                   6362:        for(i=1; i<=nlstate;i++)              
                   6363:           fprintf(ficresf," p%d%d",i,j);
                   6364:        fprintf(ficresf," p.%d",j);
                   6365:       }
1.217     brouard  6366:       for (yearp=0; yearp<=(anproj2-anproj1);yearp +=stepsize) {
1.126     brouard  6367:        fprintf(ficresf,"\n");
                   6368:        fprintf(ficresf,"\n# Forecasting at date %.lf/%.lf/%.lf ",jproj1,mproj1,anproj1+yearp);   
                   6369:        for (agec=fage; agec>=(ageminpar-1); agec--){ 
                   6370:          nhstepm=(int) rint((agelim-agec)*YEARM/stepm); 
                   6371:          nhstepm = nhstepm/hstepm; 
                   6372:          p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   6373:          oldm=oldms;savm=savms;
1.217     brouard  6374:          hpxij(p3mat,nhstepm,agec,hstepm,p,nlstate,stepm,oldm,savm, k);
1.126     brouard  6375:        
                   6376:          for (h=0; h<=nhstepm; h++){
                   6377:            if (h*hstepm/YEARM*stepm ==yearp) {
                   6378:               fprintf(ficresf,"\n");
                   6379:               for(j=1;j<=cptcoveff;j++) 
1.198     brouard  6380:                 fprintf(ficresf,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.126     brouard  6381:              fprintf(ficresf,"%.f %.f ",anproj1+yearp,agec+h*hstepm/YEARM*stepm);
                   6382:            } 
                   6383:            for(j=1; j<=nlstate+ndeath;j++) {
                   6384:              ppij=0.;
                   6385:              for(i=1; i<=nlstate;i++) {
                   6386:                if (mobilav==1) 
                   6387:                  ppij=ppij+p3mat[i][j][h]*mobaverage[(int)agec][i][cptcod];
                   6388:                else {
                   6389:                  ppij=ppij+p3mat[i][j][h]*probs[(int)(agec)][i][cptcod];
                   6390:                }
                   6391:                if (h*hstepm/YEARM*stepm== yearp) {
                   6392:                  fprintf(ficresf," %.3f", p3mat[i][j][h]);
                   6393:                }
                   6394:              } /* end i */
                   6395:              if (h*hstepm/YEARM*stepm==yearp) {
                   6396:                fprintf(ficresf," %.3f", ppij);
                   6397:              }
                   6398:            }/* end j */
                   6399:          } /* end h */
                   6400:          free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   6401:        } /* end agec */
                   6402:       } /* end yearp */
                   6403:     } /* end cptcod */
                   6404:   } /* end  cptcov */
                   6405:        
                   6406:   fclose(ficresf);
1.215     brouard  6407:   printf("End of Computing forecasting \n");
                   6408:   fprintf(ficlog,"End of Computing forecasting\n");
                   6409: 
1.126     brouard  6410: }
                   6411: 
1.218   ! brouard  6412: /* /\************** Back Forecasting ******************\/ */
        !          6413: /* void prevbackforecast(char fileres[], double anback1, double mback1, double jback1, double ageminpar, double agemax, double dateprev1, double dateprev2, int mobilav, double bage, double fage, int firstpass, int lastpass, double anback2, double p[], int cptcoveff){ */
        !          6414: /*   /\* back1, year, month, day of starting backection  */
        !          6415: /*      agemin, agemax range of age */
        !          6416: /*      dateprev1 dateprev2 range of dates during which prevalence is computed */
        !          6417: /*      anback2 year of en of backection (same day and month as back1). */
        !          6418: /*   *\/ */
        !          6419: /*   int yearp, stepsize, hstepm, nhstepm, j, k, cptcod, i, h, i1; */
        !          6420: /*   double agec; /\* generic age *\/ */
        !          6421: /*   double agelim, ppij, yp,yp1,yp2,jprojmean,mprojmean,anprojmean; */
        !          6422: /*   double *popeffectif,*popcount; */
        !          6423: /*   double ***p3mat; */
        !          6424: /*   /\* double ***mobaverage; *\/ */
        !          6425: /*   char fileresfb[FILENAMELENGTH]; */
        !          6426:        
        !          6427: /*   agelim=AGESUP; */
        !          6428: /*   /\* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people */
        !          6429: /*      in each health status at the date of interview (if between dateprev1 and dateprev2). */
        !          6430: /*      We still use firstpass and lastpass as another selection. */
        !          6431: /*   *\/ */
        !          6432: /*   /\* freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint,strstart,\ *\/ */
        !          6433: /*   /\*             firstpass, lastpass,  stepm,  weightopt, model); *\/ */
        !          6434: /*   prevalence(probs, ageminpar, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass); */
        !          6435:        
        !          6436: /*   strcpy(fileresfb,"FB_");  */
        !          6437: /*   strcat(fileresfb,fileresu); */
        !          6438: /*   if((ficresfb=fopen(fileresfb,"w"))==NULL) { */
        !          6439: /*     printf("Problem with back forecast resultfile: %s\n", fileresfb); */
        !          6440: /*     fprintf(ficlog,"Problem with back forecast resultfile: %s\n", fileresfb); */
        !          6441: /*   } */
        !          6442: /*   printf("Computing back forecasting: result on file '%s', please wait... \n", fileresfb); */
        !          6443: /*   fprintf(ficlog,"Computing back forecasting: result on file '%s', please wait... \n", fileresfb); */
        !          6444:        
        !          6445: /*   if (cptcoveff==0) ncodemax[cptcoveff]=1; */
        !          6446:        
        !          6447: /*   /\* if (mobilav!=0) { *\/ */
        !          6448: /*   /\*   mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); *\/ */
        !          6449: /*   /\*   if (movingaverage(probs, ageminpar, fage, mobaverage,mobilav)!=0){ *\/ */
        !          6450: /*   /\*     fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav); *\/ */
        !          6451: /*   /\*     printf(" Error in movingaverage mobilav=%d\n",mobilav); *\/ */
        !          6452: /*   /\*   } *\/ */
        !          6453: /*   /\* } *\/ */
        !          6454:        
        !          6455: /*   stepsize=(int) (stepm+YEARM-1)/YEARM; */
        !          6456: /*   if (stepm<=12) stepsize=1; */
        !          6457: /*   if(estepm < stepm){ */
        !          6458: /*     printf ("Problem %d lower than %d\n",estepm, stepm); */
        !          6459: /*   } */
        !          6460: /*   else  hstepm=estepm;    */
        !          6461:        
        !          6462: /*   hstepm=hstepm/stepm;  */
        !          6463: /*   yp1=modf(dateintmean,&yp);/\* extracts integral of datemean in yp  and */
        !          6464: /*                                fractional in yp1 *\/ */
        !          6465: /*   anprojmean=yp; */
        !          6466: /*   yp2=modf((yp1*12),&yp); */
        !          6467: /*   mprojmean=yp; */
        !          6468: /*   yp1=modf((yp2*30.5),&yp); */
        !          6469: /*   jprojmean=yp; */
        !          6470: /*   if(jprojmean==0) jprojmean=1; */
        !          6471: /*   if(mprojmean==0) jprojmean=1; */
        !          6472:        
        !          6473: /*   i1=cptcoveff; */
        !          6474: /*   if (cptcovn < 1){i1=1;} */
1.217     brouard  6475:   
1.218   ! brouard  6476: /*   fprintf(ficresfb,"# Mean day of interviews %.lf/%.lf/%.lf (%.2f) between %.2f and %.2f \n",jprojmean,mprojmean,anprojmean,dateintmean,dateprev1,dateprev2);  */
1.217     brouard  6477:   
1.218   ! brouard  6478: /*   fprintf(ficresfb,"#****** Routine prevbackforecast **\n"); */
        !          6479:        
        !          6480: /*     /\*           if (h==(int)(YEARM*yearp)){ *\/ */
        !          6481: /*   for(cptcov=1, k=0;cptcov<=i1;cptcov++){ */
        !          6482: /*     for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){ */
        !          6483: /*       k=k+1; */
        !          6484: /*       fprintf(ficresfb,"\n#****** hbijx=probability over h years, hp.jx is weighted by observed prev \n#"); */
        !          6485: /*       for(j=1;j<=cptcoveff;j++) { */
        !          6486: /*                             fprintf(ficresfb," V%d (=) %d",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]); */
        !          6487: /*       } */
        !          6488: /*       fprintf(ficresfb," yearbproj age"); */
        !          6489: /*       for(j=1; j<=nlstate+ndeath;j++){  */
        !          6490: /*                             for(i=1; i<=nlstate;i++)               */
        !          6491: /*           fprintf(ficresfb," p%d%d",i,j); */
        !          6492: /*                             fprintf(ficresfb," p.%d",j); */
        !          6493: /*       } */
        !          6494: /*       for (yearp=0; yearp>=(anback2-anback1);yearp -=stepsize) {  */
        !          6495: /*                             /\* for (yearp=0; yearp<=(anproj2-anproj1);yearp +=stepsize) {  *\/ */
        !          6496: /*                             fprintf(ficresfb,"\n"); */
        !          6497: /*                             fprintf(ficresfb,"\n# Back Forecasting at date %.lf/%.lf/%.lf ",jback1,mback1,anback1+yearp);    */
        !          6498: /*                             for (agec=fage; agec>=(ageminpar-1); agec--){  */
        !          6499: /*                                     nhstepm=(int) rint((agelim-agec)*YEARM/stepm);  */
        !          6500: /*                                     nhstepm = nhstepm/hstepm;  */
        !          6501: /*                                     p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); */
        !          6502: /*                                     oldm=oldms;savm=savms; */
        !          6503: /*                                     hbxij(p3mat,nhstepm,agec,hstepm,p,prevacurrent,nlstate,stepm,oldm,savm,oldm,savm, dnewm, doldm, dsavm, k);       */
        !          6504: /*                                     for (h=0; h<=nhstepm; h++){ */
        !          6505: /*                                             if (h*hstepm/YEARM*stepm ==yearp) { */
        !          6506: /*               fprintf(ficresfb,"\n"); */
        !          6507: /*               for(j=1;j<=cptcoveff;j++)  */
        !          6508: /*                 fprintf(ficresfb,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]); */
        !          6509: /*                                                     fprintf(ficresfb,"%.f %.f ",anback1+yearp,agec+h*hstepm/YEARM*stepm); */
        !          6510: /*                                             }  */
        !          6511: /*                                             for(j=1; j<=nlstate+ndeath;j++) { */
        !          6512: /*                                                     ppij=0.; */
        !          6513: /*                                                     for(i=1; i<=nlstate;i++) { */
        !          6514: /*                                                             if (mobilav==1)  */
        !          6515: /*                                                                     ppij=ppij+p3mat[i][j][h]*mobaverage[(int)agec][i][cptcod]; */
        !          6516: /*                                                             else { */
        !          6517: /*                                                                     ppij=ppij+p3mat[i][j][h]*probs[(int)(agec)][i][cptcod]; */
        !          6518: /*                                                             } */
        !          6519: /*                                                             if (h*hstepm/YEARM*stepm== yearp) { */
        !          6520: /*                                                                     fprintf(ficresfb," %.3f", p3mat[i][j][h]); */
        !          6521: /*                                                             } */
        !          6522: /*                                                     } /\* end i *\/ */
        !          6523: /*                                                     if (h*hstepm/YEARM*stepm==yearp) { */
        !          6524: /*                                                             fprintf(ficresfb," %.3f", ppij); */
        !          6525: /*                                                     } */
        !          6526: /*                                             }/\* end j *\/ */
        !          6527: /*                                     } /\* end h *\/ */
        !          6528: /*                                     free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); */
        !          6529: /*                             } /\* end agec *\/ */
        !          6530: /*       } /\* end yearp *\/ */
        !          6531: /*     } /\* end cptcod *\/ */
        !          6532: /*   } /\* end  cptcov *\/ */
        !          6533:        
        !          6534: /*   /\* if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); *\/ */
        !          6535:        
        !          6536: /*   fclose(ficresfb); */
        !          6537: /*   printf("End of Computing Back forecasting \n"); */
        !          6538: /*   fprintf(ficlog,"End of Computing Back forecasting\n"); */
1.217     brouard  6539:        
1.218   ! brouard  6540: /* } */
1.217     brouard  6541: 
1.126     brouard  6542: /************** Forecasting *****not tested NB*************/
1.169     brouard  6543: void 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){
1.126     brouard  6544:   
                   6545:   int cpt, stepsize, hstepm, nhstepm, j,k,c, cptcod, i,h;
                   6546:   int *popage;
                   6547:   double calagedatem, agelim, kk1, kk2;
                   6548:   double *popeffectif,*popcount;
                   6549:   double ***p3mat,***tabpop,***tabpopprev;
1.218   ! brouard  6550:   /* double ***mobaverage; */
1.126     brouard  6551:   char filerespop[FILENAMELENGTH];
                   6552: 
                   6553:   tabpop= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   6554:   tabpopprev= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   6555:   agelim=AGESUP;
                   6556:   calagedatem=(anpyram+mpyram/12.+jpyram/365.-dateintmean)*YEARM;
                   6557:   
                   6558:   prevalence(probs, ageminpar, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass);
                   6559:   
                   6560:   
1.201     brouard  6561:   strcpy(filerespop,"POP_"); 
                   6562:   strcat(filerespop,fileresu);
1.126     brouard  6563:   if((ficrespop=fopen(filerespop,"w"))==NULL) {
                   6564:     printf("Problem with forecast resultfile: %s\n", filerespop);
                   6565:     fprintf(ficlog,"Problem with forecast resultfile: %s\n", filerespop);
                   6566:   }
                   6567:   printf("Computing forecasting: result on file '%s' \n", filerespop);
                   6568:   fprintf(ficlog,"Computing forecasting: result on file '%s' \n", filerespop);
                   6569: 
                   6570:   if (cptcoveff==0) ncodemax[cptcoveff]=1;
                   6571: 
1.218   ! brouard  6572:   /* if (mobilav!=0) { */
        !          6573:   /*   mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
        !          6574:   /*   if (movingaverage(probs, ageminpar, fage, mobaverage,mobilav)!=0){ */
        !          6575:   /*     fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav); */
        !          6576:   /*     printf(" Error in movingaverage mobilav=%d\n",mobilav); */
        !          6577:   /*   } */
        !          6578:   /* } */
1.126     brouard  6579: 
                   6580:   stepsize=(int) (stepm+YEARM-1)/YEARM;
                   6581:   if (stepm<=12) stepsize=1;
                   6582:   
                   6583:   agelim=AGESUP;
                   6584:   
                   6585:   hstepm=1;
                   6586:   hstepm=hstepm/stepm; 
1.218   ! brouard  6587:        
1.126     brouard  6588:   if (popforecast==1) {
                   6589:     if((ficpop=fopen(popfile,"r"))==NULL) {
                   6590:       printf("Problem with population file : %s\n",popfile);exit(0);
                   6591:       fprintf(ficlog,"Problem with population file : %s\n",popfile);exit(0);
                   6592:     } 
                   6593:     popage=ivector(0,AGESUP);
                   6594:     popeffectif=vector(0,AGESUP);
                   6595:     popcount=vector(0,AGESUP);
                   6596:     
                   6597:     i=1;   
                   6598:     while ((c=fscanf(ficpop,"%d %lf\n",&popage[i],&popcount[i])) != EOF) i=i+1;
1.218   ! brouard  6599:     
1.126     brouard  6600:     imx=i;
                   6601:     for (i=1; i<imx;i++) popeffectif[popage[i]]=popcount[i];
                   6602:   }
1.218   ! brouard  6603:   
1.126     brouard  6604:   for(cptcov=1,k=0;cptcov<=i2;cptcov++){
1.218   ! brouard  6605:     for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){
1.126     brouard  6606:       k=k+1;
                   6607:       fprintf(ficrespop,"\n#******");
                   6608:       for(j=1;j<=cptcoveff;j++) {
1.198     brouard  6609:        fprintf(ficrespop," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.126     brouard  6610:       }
                   6611:       fprintf(ficrespop,"******\n");
                   6612:       fprintf(ficrespop,"# Age");
                   6613:       for(j=1; j<=nlstate+ndeath;j++) fprintf(ficrespop," P.%d",j);
                   6614:       if (popforecast==1)  fprintf(ficrespop," [Population]");
                   6615:       
                   6616:       for (cpt=0; cpt<=0;cpt++) { 
                   6617:        fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);   
                   6618:        
1.218   ! brouard  6619:        for (agedeb=(fage-((int)calagedatem %12/12.)); agedeb>=(ageminpar-((int)calagedatem %12)/12.); agedeb--){ 
1.126     brouard  6620:          nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); 
                   6621:          nhstepm = nhstepm/hstepm; 
                   6622:          
                   6623:          p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   6624:          oldm=oldms;savm=savms;
                   6625:          hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);  
1.218   ! brouard  6626:          
1.126     brouard  6627:          for (h=0; h<=nhstepm; h++){
                   6628:            if (h==(int) (calagedatem+YEARM*cpt)) {
                   6629:              fprintf(ficrespop,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm);
                   6630:            } 
                   6631:            for(j=1; j<=nlstate+ndeath;j++) {
                   6632:              kk1=0.;kk2=0;
                   6633:              for(i=1; i<=nlstate;i++) {              
                   6634:                if (mobilav==1) 
                   6635:                  kk1=kk1+p3mat[i][j][h]*mobaverage[(int)agedeb+1][i][cptcod];
                   6636:                else {
                   6637:                  kk1=kk1+p3mat[i][j][h]*probs[(int)(agedeb+1)][i][cptcod];
                   6638:                }
                   6639:              }
                   6640:              if (h==(int)(calagedatem+12*cpt)){
                   6641:                tabpop[(int)(agedeb)][j][cptcod]=kk1;
1.218   ! brouard  6642:                /*fprintf(ficrespop," %.3f", kk1);
        !          6643:                  if (popforecast==1) fprintf(ficrespop," [%.f]", kk1*popeffectif[(int)agedeb+1]);*/
1.126     brouard  6644:              }
                   6645:            }
                   6646:            for(i=1; i<=nlstate;i++){
                   6647:              kk1=0.;
1.218   ! brouard  6648:              for(j=1; j<=nlstate;j++){
        !          6649:                kk1= kk1+tabpop[(int)(agedeb)][j][cptcod]; 
        !          6650:              }
        !          6651:              tabpopprev[(int)(agedeb)][i][cptcod]=tabpop[(int)(agedeb)][i][cptcod]/kk1*popeffectif[(int)(agedeb+(calagedatem+12*cpt)*hstepm/YEARM*stepm-1)];
1.126     brouard  6652:            }
1.218   ! brouard  6653:            
        !          6654:            if (h==(int)(calagedatem+12*cpt))
        !          6655:              for(j=1; j<=nlstate;j++) 
        !          6656:                fprintf(ficrespop," %15.2f",tabpopprev[(int)(agedeb+1)][j][cptcod]);
1.126     brouard  6657:          }
                   6658:          free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   6659:        }
                   6660:       }
1.218   ! brouard  6661:       
        !          6662:       /******/
        !          6663:       
1.126     brouard  6664:       for (cpt=1; cpt<=(anpyram1-anpyram);cpt++) { 
                   6665:        fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);   
                   6666:        for (agedeb=(fage-((int)calagedatem %12/12.)); agedeb>=(ageminpar-((int)calagedatem %12)/12.); agedeb--){ 
                   6667:          nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); 
                   6668:          nhstepm = nhstepm/hstepm; 
                   6669:          
                   6670:          p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   6671:          oldm=oldms;savm=savms;
                   6672:          hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);  
                   6673:          for (h=0; h<=nhstepm; h++){
                   6674:            if (h==(int) (calagedatem+YEARM*cpt)) {
                   6675:              fprintf(ficresf,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm);
                   6676:            } 
                   6677:            for(j=1; j<=nlstate+ndeath;j++) {
                   6678:              kk1=0.;kk2=0;
                   6679:              for(i=1; i<=nlstate;i++) {              
                   6680:                kk1=kk1+p3mat[i][j][h]*tabpopprev[(int)agedeb+1][i][cptcod];    
                   6681:              }
                   6682:              if (h==(int)(calagedatem+12*cpt)) fprintf(ficresf," %15.2f", kk1);        
                   6683:            }
                   6684:          }
                   6685:          free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   6686:        }
                   6687:       }
1.218   ! brouard  6688:     } 
1.126     brouard  6689:   }
1.218   ! brouard  6690:   
        !          6691:   /* if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
        !          6692:   
1.126     brouard  6693:   if (popforecast==1) {
                   6694:     free_ivector(popage,0,AGESUP);
                   6695:     free_vector(popeffectif,0,AGESUP);
                   6696:     free_vector(popcount,0,AGESUP);
                   6697:   }
                   6698:   free_ma3x(tabpop,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   6699:   free_ma3x(tabpopprev,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   6700:   fclose(ficrespop);
                   6701: } /* End of popforecast */
1.218   ! brouard  6702:  
1.126     brouard  6703: int fileappend(FILE *fichier, char *optionfich)
                   6704: {
                   6705:   if((fichier=fopen(optionfich,"a"))==NULL) {
                   6706:     printf("Problem with file: %s\n", optionfich);
                   6707:     fprintf(ficlog,"Problem with file: %s\n", optionfich);
                   6708:     return (0);
                   6709:   }
                   6710:   fflush(fichier);
                   6711:   return (1);
                   6712: }
                   6713: 
                   6714: 
                   6715: /**************** function prwizard **********************/
                   6716: void prwizard(int ncovmodel, int nlstate, int ndeath,  char model[], FILE *ficparo)
                   6717: {
                   6718: 
                   6719:   /* Wizard to print covariance matrix template */
                   6720: 
1.164     brouard  6721:   char ca[32], cb[32];
                   6722:   int i,j, k, li, lj, lk, ll, jj, npar, itimes;
1.126     brouard  6723:   int numlinepar;
                   6724: 
                   6725:   printf("# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   6726:   fprintf(ficparo,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   6727:   for(i=1; i <=nlstate; i++){
                   6728:     jj=0;
                   6729:     for(j=1; j <=nlstate+ndeath; j++){
                   6730:       if(j==i) continue;
                   6731:       jj++;
                   6732:       /*ca[0]= k+'a'-1;ca[1]='\0';*/
                   6733:       printf("%1d%1d",i,j);
                   6734:       fprintf(ficparo,"%1d%1d",i,j);
                   6735:       for(k=1; k<=ncovmodel;k++){
                   6736:        /*        printf(" %lf",param[i][j][k]); */
                   6737:        /*        fprintf(ficparo," %lf",param[i][j][k]); */
                   6738:        printf(" 0.");
                   6739:        fprintf(ficparo," 0.");
                   6740:       }
                   6741:       printf("\n");
                   6742:       fprintf(ficparo,"\n");
                   6743:     }
                   6744:   }
                   6745:   printf("# Scales (for hessian or gradient estimation)\n");
                   6746:   fprintf(ficparo,"# Scales (for hessian or gradient estimation)\n");
                   6747:   npar= (nlstate+ndeath-1)*nlstate*ncovmodel; /* Number of parameters*/ 
                   6748:   for(i=1; i <=nlstate; i++){
                   6749:     jj=0;
                   6750:     for(j=1; j <=nlstate+ndeath; j++){
                   6751:       if(j==i) continue;
                   6752:       jj++;
                   6753:       fprintf(ficparo,"%1d%1d",i,j);
                   6754:       printf("%1d%1d",i,j);
                   6755:       fflush(stdout);
                   6756:       for(k=1; k<=ncovmodel;k++){
                   6757:        /*      printf(" %le",delti3[i][j][k]); */
                   6758:        /*      fprintf(ficparo," %le",delti3[i][j][k]); */
                   6759:        printf(" 0.");
                   6760:        fprintf(ficparo," 0.");
                   6761:       }
                   6762:       numlinepar++;
                   6763:       printf("\n");
                   6764:       fprintf(ficparo,"\n");
                   6765:     }
                   6766:   }
                   6767:   printf("# Covariance matrix\n");
                   6768: /* # 121 Var(a12)\n\ */
                   6769: /* # 122 Cov(b12,a12) Var(b12)\n\ */
                   6770: /* # 131 Cov(a13,a12) Cov(a13,b12, Var(a13)\n\ */
                   6771: /* # 132 Cov(b13,a12) Cov(b13,b12, Cov(b13,a13) Var(b13)\n\ */
                   6772: /* # 212 Cov(a21,a12) Cov(a21,b12, Cov(a21,a13) Cov(a21,b13) Var(a21)\n\ */
                   6773: /* # 212 Cov(b21,a12) Cov(b21,b12, Cov(b21,a13) Cov(b21,b13) Cov(b21,a21) Var(b21)\n\ */
                   6774: /* # 232 Cov(a23,a12) Cov(a23,b12, Cov(a23,a13) Cov(a23,b13) Cov(a23,a21) Cov(a23,b21) Var(a23)\n\ */
                   6775: /* # 232 Cov(b23,a12) Cov(b23,b12) ... Var (b23)\n" */
                   6776:   fflush(stdout);
                   6777:   fprintf(ficparo,"# Covariance matrix\n");
                   6778:   /* # 121 Var(a12)\n\ */
                   6779:   /* # 122 Cov(b12,a12) Var(b12)\n\ */
                   6780:   /* #   ...\n\ */
                   6781:   /* # 232 Cov(b23,a12)  Cov(b23,b12) ... Var (b23)\n" */
                   6782:   
                   6783:   for(itimes=1;itimes<=2;itimes++){
                   6784:     jj=0;
                   6785:     for(i=1; i <=nlstate; i++){
                   6786:       for(j=1; j <=nlstate+ndeath; j++){
                   6787:        if(j==i) continue;
                   6788:        for(k=1; k<=ncovmodel;k++){
                   6789:          jj++;
                   6790:          ca[0]= k+'a'-1;ca[1]='\0';
                   6791:          if(itimes==1){
                   6792:            printf("#%1d%1d%d",i,j,k);
                   6793:            fprintf(ficparo,"#%1d%1d%d",i,j,k);
                   6794:          }else{
                   6795:            printf("%1d%1d%d",i,j,k);
                   6796:            fprintf(ficparo,"%1d%1d%d",i,j,k);
                   6797:            /*  printf(" %.5le",matcov[i][j]); */
                   6798:          }
                   6799:          ll=0;
                   6800:          for(li=1;li <=nlstate; li++){
                   6801:            for(lj=1;lj <=nlstate+ndeath; lj++){
                   6802:              if(lj==li) continue;
                   6803:              for(lk=1;lk<=ncovmodel;lk++){
                   6804:                ll++;
                   6805:                if(ll<=jj){
                   6806:                  cb[0]= lk +'a'-1;cb[1]='\0';
                   6807:                  if(ll<jj){
                   6808:                    if(itimes==1){
                   6809:                      printf(" Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   6810:                      fprintf(ficparo," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   6811:                    }else{
                   6812:                      printf(" 0.");
                   6813:                      fprintf(ficparo," 0.");
                   6814:                    }
                   6815:                  }else{
                   6816:                    if(itimes==1){
                   6817:                      printf(" Var(%s%1d%1d)",ca,i,j);
                   6818:                      fprintf(ficparo," Var(%s%1d%1d)",ca,i,j);
                   6819:                    }else{
                   6820:                      printf(" 0.");
                   6821:                      fprintf(ficparo," 0.");
                   6822:                    }
                   6823:                  }
                   6824:                }
                   6825:              } /* end lk */
                   6826:            } /* end lj */
                   6827:          } /* end li */
                   6828:          printf("\n");
                   6829:          fprintf(ficparo,"\n");
                   6830:          numlinepar++;
                   6831:        } /* end k*/
                   6832:       } /*end j */
                   6833:     } /* end i */
                   6834:   } /* end itimes */
                   6835: 
                   6836: } /* end of prwizard */
                   6837: /******************* Gompertz Likelihood ******************************/
                   6838: double gompertz(double x[])
                   6839: { 
                   6840:   double A,B,L=0.0,sump=0.,num=0.;
                   6841:   int i,n=0; /* n is the size of the sample */
                   6842: 
                   6843:   for (i=0;i<=imx-1 ; i++) {
                   6844:     sump=sump+weight[i];
                   6845:     /*    sump=sump+1;*/
                   6846:     num=num+1;
                   6847:   }
                   6848:  
                   6849:  
                   6850:   /* for (i=0; i<=imx; i++) 
                   6851:      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]);*/
                   6852: 
                   6853:   for (i=1;i<=imx ; i++)
                   6854:     {
                   6855:       if (cens[i] == 1 && wav[i]>1)
                   6856:        A=-x[1]/(x[2])*(exp(x[2]*(agecens[i]-agegomp))-exp(x[2]*(ageexmed[i]-agegomp)));
                   6857:       
                   6858:       if (cens[i] == 0 && wav[i]>1)
                   6859:        A=-x[1]/(x[2])*(exp(x[2]*(agedc[i]-agegomp))-exp(x[2]*(ageexmed[i]-agegomp)))
                   6860:             +log(x[1]/YEARM)+x[2]*(agedc[i]-agegomp)+log(YEARM);  
                   6861:       
                   6862:       /*if (wav[i] > 1 && agecens[i] > 15) {*/ /* ??? */
                   6863:       if (wav[i] > 1 ) { /* ??? */
                   6864:        L=L+A*weight[i];
                   6865:        /*      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]);*/
                   6866:       }
                   6867:     }
                   6868: 
                   6869:  /*printf("x1=%2.9f x2=%2.9f x3=%2.9f L=%f\n",x[1],x[2],x[3],L);*/
                   6870:  
                   6871:   return -2*L*num/sump;
                   6872: }
                   6873: 
1.136     brouard  6874: #ifdef GSL
                   6875: /******************* Gompertz_f Likelihood ******************************/
                   6876: double gompertz_f(const gsl_vector *v, void *params)
                   6877: { 
                   6878:   double A,B,LL=0.0,sump=0.,num=0.;
                   6879:   double *x= (double *) v->data;
                   6880:   int i,n=0; /* n is the size of the sample */
                   6881: 
                   6882:   for (i=0;i<=imx-1 ; i++) {
                   6883:     sump=sump+weight[i];
                   6884:     /*    sump=sump+1;*/
                   6885:     num=num+1;
                   6886:   }
                   6887:  
                   6888:  
                   6889:   /* for (i=0; i<=imx; i++) 
                   6890:      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]);*/
                   6891:   printf("x[0]=%lf x[1]=%lf\n",x[0],x[1]);
                   6892:   for (i=1;i<=imx ; i++)
                   6893:     {
                   6894:       if (cens[i] == 1 && wav[i]>1)
                   6895:        A=-x[0]/(x[1])*(exp(x[1]*(agecens[i]-agegomp))-exp(x[1]*(ageexmed[i]-agegomp)));
                   6896:       
                   6897:       if (cens[i] == 0 && wav[i]>1)
                   6898:        A=-x[0]/(x[1])*(exp(x[1]*(agedc[i]-agegomp))-exp(x[1]*(ageexmed[i]-agegomp)))
                   6899:             +log(x[0]/YEARM)+x[1]*(agedc[i]-agegomp)+log(YEARM);  
                   6900:       
                   6901:       /*if (wav[i] > 1 && agecens[i] > 15) {*/ /* ??? */
                   6902:       if (wav[i] > 1 ) { /* ??? */
                   6903:        LL=LL+A*weight[i];
                   6904:        /*      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]);*/
                   6905:       }
                   6906:     }
                   6907: 
                   6908:  /*printf("x1=%2.9f x2=%2.9f x3=%2.9f L=%f\n",x[1],x[2],x[3],L);*/
                   6909:   printf("x[0]=%lf x[1]=%lf -2*LL*num/sump=%lf\n",x[0],x[1],-2*LL*num/sump);
                   6910:  
                   6911:   return -2*LL*num/sump;
                   6912: }
                   6913: #endif
                   6914: 
1.126     brouard  6915: /******************* Printing html file ***********/
1.201     brouard  6916: void printinghtmlmort(char fileresu[], char title[], char datafile[], int firstpass, \
1.126     brouard  6917:                  int lastpass, int stepm, int weightopt, char model[],\
                   6918:                  int imx,  double p[],double **matcov,double agemortsup){
                   6919:   int i,k;
                   6920: 
                   6921:   fprintf(fichtm,"<ul><li><h4>Result files </h4>\n Force of mortality. Parameters of the Gompertz fit (with confidence interval in brackets):<br>");
                   6922:   fprintf(fichtm,"  mu(age) =%lf*exp(%lf*(age-%d)) per year<br><br>",p[1],p[2],agegomp);
                   6923:   for (i=1;i<=2;i++) 
                   6924:     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]));
1.199     brouard  6925:   fprintf(fichtm,"<br><br><img src=\"graphmort.svg\">");
1.126     brouard  6926:   fprintf(fichtm,"</ul>");
                   6927: 
                   6928: fprintf(fichtm,"<ul><li><h4>Life table</h4>\n <br>");
                   6929: 
                   6930:  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>");
                   6931: 
                   6932:  for (k=agegomp;k<(agemortsup-2);k++) 
                   6933:    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]);
                   6934: 
                   6935:  
                   6936:   fflush(fichtm);
                   6937: }
                   6938: 
                   6939: /******************* Gnuplot file **************/
1.201     brouard  6940: void printinggnuplotmort(char fileresu[], char optionfilefiname[], double ageminpar, double agemaxpar, double fage , char pathc[], double p[]){
1.126     brouard  6941: 
                   6942:   char dirfileres[132],optfileres[132];
1.164     brouard  6943: 
1.126     brouard  6944:   int ng;
                   6945: 
                   6946: 
                   6947:   /*#ifdef windows */
                   6948:   fprintf(ficgp,"cd \"%s\" \n",pathc);
                   6949:     /*#endif */
                   6950: 
                   6951: 
                   6952:   strcpy(dirfileres,optionfilefiname);
                   6953:   strcpy(optfileres,"vpl");
1.199     brouard  6954:   fprintf(ficgp,"set out \"graphmort.svg\"\n "); 
1.126     brouard  6955:   fprintf(ficgp,"set xlabel \"Age\"\n set ylabel \"Force of mortality (per year)\" \n "); 
1.199     brouard  6956:   fprintf(ficgp, "set ter svg size 640, 480\n set log y\n"); 
1.145     brouard  6957:   /* fprintf(ficgp, "set size 0.65,0.65\n"); */
1.126     brouard  6958:   fprintf(ficgp,"plot [%d:100] %lf*exp(%lf*(x-%d))",agegomp,p[1],p[2],agegomp);
                   6959: 
                   6960: } 
                   6961: 
1.136     brouard  6962: int readdata(char datafile[], int firstobs, int lastobs, int *imax)
                   6963: {
1.126     brouard  6964: 
1.136     brouard  6965:   /*-------- data file ----------*/
                   6966:   FILE *fic;
                   6967:   char dummy[]="                         ";
1.164     brouard  6968:   int i=0, j=0, n=0;
1.136     brouard  6969:   int linei, month, year,iout;
                   6970:   char line[MAXLINE], linetmp[MAXLINE];
1.164     brouard  6971:   char stra[MAXLINE], strb[MAXLINE];
1.136     brouard  6972:   char *stratrunc;
                   6973:   int lstra;
1.126     brouard  6974: 
                   6975: 
1.136     brouard  6976:   if((fic=fopen(datafile,"r"))==NULL)    {
1.218   ! brouard  6977:     printf("Problem while opening datafile: %s with errno='%s'\n", datafile,strerror(errno));fflush(stdout);
        !          6978:     fprintf(ficlog,"Problem while opening datafile: %s with errno='%s'\n", datafile,strerror(errno));fflush(ficlog);return 1;
1.136     brouard  6979:   }
1.126     brouard  6980: 
1.136     brouard  6981:   i=1;
                   6982:   linei=0;
                   6983:   while ((fgets(line, MAXLINE, fic) != NULL) &&((i >= firstobs) && (i <=lastobs))) {
                   6984:     linei=linei+1;
                   6985:     for(j=strlen(line); j>=0;j--){  /* Untabifies line */
                   6986:       if(line[j] == '\t')
                   6987:        line[j] = ' ';
                   6988:     }
                   6989:     for(j=strlen(line)-1; (line[j]==' ')||(line[j]==10)||(line[j]==13);j--){
                   6990:       ;
                   6991:     };
                   6992:     line[j+1]=0;  /* Trims blanks at end of line */
                   6993:     if(line[0]=='#'){
                   6994:       fprintf(ficlog,"Comment line\n%s\n",line);
                   6995:       printf("Comment line\n%s\n",line);
                   6996:       continue;
                   6997:     }
                   6998:     trimbb(linetmp,line); /* Trims multiple blanks in line */
1.164     brouard  6999:     strcpy(line, linetmp);
1.136     brouard  7000:   
1.126     brouard  7001: 
1.136     brouard  7002:     for (j=maxwav;j>=1;j--){
1.137     brouard  7003:       cutv(stra, strb, line, ' '); 
1.136     brouard  7004:       if(strb[0]=='.') { /* Missing status */
                   7005:        lval=-1;
                   7006:       }else{
                   7007:        errno=0;
                   7008:        lval=strtol(strb,&endptr,10); 
                   7009:       /*       if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN))*/
                   7010:        if( strb[0]=='\0' || (*endptr != '\0')){
1.141     brouard  7011:          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);
                   7012:          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);
1.136     brouard  7013:          return 1;
                   7014:        }
                   7015:       }
                   7016:       s[j][i]=lval;
                   7017:       
                   7018:       strcpy(line,stra);
                   7019:       cutv(stra, strb,line,' ');
1.169     brouard  7020:       if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
1.136     brouard  7021:       }
1.169     brouard  7022:       else  if( (iout=sscanf(strb,"%s.",dummy)) != 0){
1.136     brouard  7023:        month=99;
                   7024:        year=9999;
                   7025:       }else{
1.141     brouard  7026:        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);
                   7027:        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);
1.136     brouard  7028:        return 1;
                   7029:       }
                   7030:       anint[j][i]= (double) year; 
                   7031:       mint[j][i]= (double)month; 
                   7032:       strcpy(line,stra);
                   7033:     } /* ENd Waves */
                   7034:     
                   7035:     cutv(stra, strb,line,' '); 
1.169     brouard  7036:     if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
1.136     brouard  7037:     }
1.169     brouard  7038:     else  if( (iout=sscanf(strb,"%s.",dummy)) != 0){
1.136     brouard  7039:       month=99;
                   7040:       year=9999;
                   7041:     }else{
1.141     brouard  7042:       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);
                   7043:        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);
1.136     brouard  7044:        return 1;
                   7045:     }
                   7046:     andc[i]=(double) year; 
                   7047:     moisdc[i]=(double) month; 
                   7048:     strcpy(line,stra);
                   7049:     
                   7050:     cutv(stra, strb,line,' '); 
1.169     brouard  7051:     if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
1.136     brouard  7052:     }
1.169     brouard  7053:     else  if( (iout=sscanf(strb,"%s.", dummy)) != 0){
1.136     brouard  7054:       month=99;
                   7055:       year=9999;
                   7056:     }else{
1.141     brouard  7057:       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);
                   7058:       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);
1.136     brouard  7059:        return 1;
                   7060:     }
                   7061:     if (year==9999) {
1.141     brouard  7062:       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);
                   7063:       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);
1.136     brouard  7064:        return 1;
1.126     brouard  7065: 
1.136     brouard  7066:     }
                   7067:     annais[i]=(double)(year);
                   7068:     moisnais[i]=(double)(month); 
                   7069:     strcpy(line,stra);
                   7070:     
                   7071:     cutv(stra, strb,line,' '); 
                   7072:     errno=0;
                   7073:     dval=strtod(strb,&endptr); 
                   7074:     if( strb[0]=='\0' || (*endptr != '\0')){
1.141     brouard  7075:       printf("Error reading data around '%f' at line number %d, \"%s\" for individual %d\nShould be a weight.  Exiting.\n",dval, i,line,linei);
                   7076:       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);
1.136     brouard  7077:       fflush(ficlog);
                   7078:       return 1;
                   7079:     }
                   7080:     weight[i]=dval; 
                   7081:     strcpy(line,stra);
                   7082:     
                   7083:     for (j=ncovcol;j>=1;j--){
                   7084:       cutv(stra, strb,line,' '); 
                   7085:       if(strb[0]=='.') { /* Missing status */
                   7086:        lval=-1;
                   7087:       }else{
                   7088:        errno=0;
                   7089:        lval=strtol(strb,&endptr,10); 
                   7090:        if( strb[0]=='\0' || (*endptr != '\0')){
1.141     brouard  7091:          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);
                   7092:          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);
1.136     brouard  7093:          return 1;
                   7094:        }
                   7095:       }
                   7096:       if(lval <-1 || lval >1){
1.141     brouard  7097:        printf("Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
1.136     brouard  7098:  Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
                   7099:  for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
                   7100:  For example, for multinomial values like 1, 2 and 3,\n \
                   7101:  build V1=0 V2=0 for the reference value (1),\n \
                   7102:         V1=1 V2=0 for (2) \n \
                   7103:  and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
                   7104:  output of IMaCh is often meaningless.\n \
                   7105:  Exiting.\n",lval,linei, i,line,j);
1.141     brouard  7106:        fprintf(ficlog,"Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
1.136     brouard  7107:  Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
                   7108:  for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
                   7109:  For example, for multinomial values like 1, 2 and 3,\n \
                   7110:  build V1=0 V2=0 for the reference value (1),\n \
                   7111:         V1=1 V2=0 for (2) \n \
                   7112:  and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
                   7113:  output of IMaCh is often meaningless.\n \
                   7114:  Exiting.\n",lval,linei, i,line,j);fflush(ficlog);
                   7115:        return 1;
                   7116:       }
                   7117:       covar[j][i]=(double)(lval);
                   7118:       strcpy(line,stra);
                   7119:     }  
                   7120:     lstra=strlen(stra);
                   7121:      
                   7122:     if(lstra > 9){ /* More than 2**32 or max of what printf can write with %ld */
                   7123:       stratrunc = &(stra[lstra-9]);
                   7124:       num[i]=atol(stratrunc);
                   7125:     }
                   7126:     else
                   7127:       num[i]=atol(stra);
                   7128:     /*if((s[2][i]==2) && (s[3][i]==-1)&&(s[4][i]==9)){
                   7129:       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;}*/
                   7130:     
                   7131:     i=i+1;
                   7132:   } /* End loop reading  data */
1.126     brouard  7133: 
1.136     brouard  7134:   *imax=i-1; /* Number of individuals */
                   7135:   fclose(fic);
                   7136:  
                   7137:   return (0);
1.164     brouard  7138:   /* endread: */
1.136     brouard  7139:     printf("Exiting readdata: ");
                   7140:     fclose(fic);
                   7141:     return (1);
1.126     brouard  7142: 
                   7143: 
                   7144: 
1.136     brouard  7145: }
1.145     brouard  7146: void removespace(char *str) {
                   7147:   char *p1 = str, *p2 = str;
                   7148:   do
                   7149:     while (*p2 == ' ')
                   7150:       p2++;
1.169     brouard  7151:   while (*p1++ == *p2++);
1.145     brouard  7152: }
                   7153: 
                   7154: int decodemodel ( char model[], int lastobs) /**< This routine decode the model and returns:
1.187     brouard  7155:    * Model  V1+V2+V3+V8+V7*V8+V5*V6+V8*age+V3*age+age*age
                   7156:    * - nagesqr = 1 if age*age in the model, otherwise 0.
                   7157:    * - cptcovt total number of covariates of the model nbocc(+)+1 = 8 excepting constant and age and age*age
                   7158:    * - cptcovn or number of covariates k of the models excluding age*products =6 and age*age
1.145     brouard  7159:    * - cptcovage number of covariates with age*products =2
                   7160:    * - cptcovs number of simple covariates
                   7161:    * - 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
                   7162:    *     which is a new column after the 9 (ncovcol) variables. 
                   7163:    * - if k is a product Vn*Vm covar[k][i] is filled with correct values for each individual
                   7164:    * - Tprod[l] gives the kth covariates of the product Vn*Vm l=1 to cptcovprod-cptcovage
                   7165:    *    Tprod[1]@2 {5, 6}: position of first product V7*V8 is 5, and second V5*V6 is 6.
                   7166:    * - Tvard[k]  p Tvard[1][1]@4 {7, 8, 5, 6} for V7*V8 and V5*V6 .
                   7167:  */
1.136     brouard  7168: {
1.145     brouard  7169:   int i, j, k, ks;
1.164     brouard  7170:   int  j1, k1, k2;
1.136     brouard  7171:   char modelsav[80];
1.145     brouard  7172:   char stra[80], strb[80], strc[80], strd[80],stre[80];
1.187     brouard  7173:   char *strpt;
1.136     brouard  7174: 
1.145     brouard  7175:   /*removespace(model);*/
1.136     brouard  7176:   if (strlen(model) >1){ /* If there is at least 1 covariate */
1.145     brouard  7177:     j=0, j1=0, k1=0, k2=-1, ks=0, cptcovn=0;
1.137     brouard  7178:     if (strstr(model,"AGE") !=0){
1.192     brouard  7179:       printf("Error. AGE must be in lower case 'age' model=1+age+%s. ",model);
                   7180:       fprintf(ficlog,"Error. AGE must be in lower case model=1+age+%s. ",model);fflush(ficlog);
1.136     brouard  7181:       return 1;
                   7182:     }
1.141     brouard  7183:     if (strstr(model,"v") !=0){
                   7184:       printf("Error. 'v' must be in upper case 'V' model=%s ",model);
                   7185:       fprintf(ficlog,"Error. 'v' must be in upper case model=%s ",model);fflush(ficlog);
                   7186:       return 1;
                   7187:     }
1.187     brouard  7188:     strcpy(modelsav,model); 
                   7189:     if ((strpt=strstr(model,"age*age")) !=0){
                   7190:       printf(" strpt=%s, model=%s\n",strpt, model);
                   7191:       if(strpt != model){
                   7192:       printf("Error in model: 'model=%s'; 'age*age' should in first place before other covariates\n \
1.192     brouard  7193:  'model=1+age+age*age+V1.' or 'model=1+age+age*age+V1+V1*age.', please swap as well as \n \
1.187     brouard  7194:  corresponding column of parameters.\n",model);
                   7195:       fprintf(ficlog,"Error in model: 'model=%s'; 'age*age' should in first place before other covariates\n \
1.192     brouard  7196:  'model=1+age+age*age+V1.' or 'model=1+age+age*age+V1+V1*age.', please swap as well as \n \
1.187     brouard  7197:  corresponding column of parameters.\n",model); fflush(ficlog);
                   7198:       return 1;
                   7199:     }
                   7200: 
                   7201:       nagesqr=1;
                   7202:       if (strstr(model,"+age*age") !=0)
                   7203:        substrchaine(modelsav, model, "+age*age");
                   7204:       else if (strstr(model,"age*age+") !=0)
                   7205:        substrchaine(modelsav, model, "age*age+");
                   7206:       else 
                   7207:        substrchaine(modelsav, model, "age*age");
                   7208:     }else
                   7209:       nagesqr=0;
                   7210:     if (strlen(modelsav) >1){
                   7211:       j=nbocc(modelsav,'+'); /**< j=Number of '+' */
                   7212:       j1=nbocc(modelsav,'*'); /**< j1=Number of '*' */
                   7213:       cptcovs=j+1-j1; /**<  Number of simple covariates V1+V1*age+V3 +V3*V4+age*age=> V1 + V3 =2  */
                   7214:       cptcovt= j+1; /* Number of total covariates in the model, not including
                   7215:                   * cst, age and age*age 
                   7216:                   * V1+V1*age+ V3 + V3*V4+age*age=> 4*/
                   7217:                   /* including age products which are counted in cptcovage.
                   7218:                  * but the covariates which are products must be treated 
                   7219:                  * separately: ncovn=4- 2=2 (V1+V3). */
                   7220:       cptcovprod=j1; /**< Number of products  V1*V2 +v3*age = 2 */
                   7221:       cptcovprodnoage=0; /**< Number of covariate products without age: V3*V4 =1  */
                   7222: 
                   7223:     
                   7224:       /*   Design
                   7225:        *  V1   V2   V3   V4  V5  V6  V7  V8  V9 Weight
                   7226:        *  <          ncovcol=8                >
                   7227:        * Model V2 + V1 + V3*age + V3 + V5*V6 + V7*V8 + V8*age + V8
                   7228:        *   k=  1    2      3       4     5       6      7        8
                   7229:        *  cptcovn number of covariates (not including constant and age ) = # of + plus 1 = 7+1=8
                   7230:        *  covar[k,i], value of kth covariate if not including age for individual i:
                   7231:        *       covar[1][i]= (V2), covar[4][i]=(V3), covar[8][i]=(V8)
                   7232:        *  Tvar[k] # of the kth covariate:  Tvar[1]=2  Tvar[4]=3 Tvar[8]=8
                   7233:        *       if multiplied by age: V3*age Tvar[3=V3*age]=3 (V3) Tvar[7]=8 and 
                   7234:        *  Tage[++cptcovage]=k
                   7235:        *       if products, new covar are created after ncovcol with k1
                   7236:        *  Tvar[k]=ncovcol+k1; # of the kth covariate product:  Tvar[5]=ncovcol+1=10  Tvar[6]=ncovcol+1=11
                   7237:        *  Tprod[k1]=k; Tprod[1]=5 Tprod[2]= 6; gives the position of the k1th product
                   7238:        *  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
                   7239:        *  Tvar[cptcovn+k2]=Tvard[k1][1];Tvar[cptcovn+k2+1]=Tvard[k1][2];
                   7240:        *  Tvar[8+1]=5;Tvar[8+2]=6;Tvar[8+3]=7;Tvar[8+4]=8 inverted
                   7241:        *  V1   V2   V3   V4  V5  V6  V7  V8  V9  V10  V11
                   7242:        *  <          ncovcol=8                >
                   7243:        *       Model V2 + V1 + V3*age + V3 + V5*V6 + V7*V8 + V8*age + V8    d1   d1   d2  d2
                   7244:        *          k=  1    2      3       4     5       6      7        8    9   10   11  12
                   7245:        *     Tvar[k]= 2    1      3       3    10      11      8        8    5    6    7   8
                   7246:        * p Tvar[1]@12={2,   1,     3,      3,   11,     10,     8,       8,   7,   8,   5,  6}
                   7247:        * p Tprod[1]@2={                         6, 5}
                   7248:        *p Tvard[1][1]@4= {7, 8, 5, 6}
                   7249:        * covar[k][i]= V2   V1      ?      V3    V5*V6?   V7*V8?  ?       V8   
                   7250:        *  cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
                   7251:        *How to reorganize?
                   7252:        * Model V1 + V2 + V3 + V8 + V5*V6 + V7*V8 + V3*age + V8*age
                   7253:        * Tvars {2,   1,     3,      3,   11,     10,     8,       8,   7,   8,   5,  6}
                   7254:        *       {2,   1,     4,      8,    5,      6,     3,       7}
                   7255:        * Struct []
                   7256:        */
1.145     brouard  7257: 
1.187     brouard  7258:       /* This loop fills the array Tvar from the string 'model'.*/
                   7259:       /* j is the number of + signs in the model V1+V2+V3 j=2 i=3 to 1 */
                   7260:       /*   modelsav=V2+V1+V4+age*V3 strb=age*V3 stra=V2+V1+V4  */
                   7261:       /*       k=4 (age*V3) Tvar[k=4]= 3 (from V3) Tage[cptcovage=1]=4 */
                   7262:       /*       k=3 V4 Tvar[k=3]= 4 (from V4) */
                   7263:       /*       k=2 V1 Tvar[k=2]= 1 (from V1) */
                   7264:       /*       k=1 Tvar[1]=2 (from V2) */
                   7265:       /*       k=5 Tvar[5] */
                   7266:       /* for (k=1; k<=cptcovn;k++) { */
1.198     brouard  7267:       /*       cov[2+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
1.187     brouard  7268:       /*       } */
1.198     brouard  7269:       /* for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,Tvar[Tage[k])]]*cov[2]; */
1.187     brouard  7270:       /*
                   7271:        * Treating invertedly V2+V1+V3*age+V2*V4 is as if written V2*V4 +V3*age + V1 + V2 */
                   7272:       for(k=cptcovt; k>=1;k--) /**< Number of covariates */
1.145     brouard  7273:         Tvar[k]=0;
1.187     brouard  7274:       cptcovage=0;
                   7275:       for(k=1; k<=cptcovt;k++){ /* Loop on total covariates of the model */
                   7276:        cutl(stra,strb,modelsav,'+'); /* keeps in strb after the first '+' 
                   7277:                                         modelsav==V2+V1+V4+V3*age strb=V3*age stra=V2+V1+V4 */ 
                   7278:        if (nbocc(modelsav,'+')==0) strcpy(strb,modelsav); /* and analyzes it */
                   7279:        /*      printf("i=%d a=%s b=%s sav=%s\n",i, stra,strb,modelsav);*/
                   7280:        /*scanf("%d",i);*/
                   7281:        if (strchr(strb,'*')) {  /**< Model includes a product V2+V1+V4+V3*age strb=V3*age */
                   7282:          cutl(strc,strd,strb,'*'); /**< strd*strc  Vm*Vn: strb=V3*age(input) strc=age strd=V3 ; V3*V2 strc=V2, strd=V3 */
                   7283:          if (strcmp(strc,"age")==0) { /**< Model includes age: Vn*age */
                   7284:            /* covar is not filled and then is empty */
                   7285:            cptcovprod--;
                   7286:            cutl(stre,strb,strd,'V'); /* strd=V3(input): stre="3" */
                   7287:            Tvar[k]=atoi(stre);  /* V2+V1+V4+V3*age Tvar[4]=3 ; V1+V2*age Tvar[2]=2; V1+V1*age Tvar[2]=1 */
                   7288:            cptcovage++; /* Sums the number of covariates which include age as a product */
                   7289:            Tage[cptcovage]=k;  /* Tvar[4]=3, Tage[1] = 4 or V1+V1*age Tvar[2]=1, Tage[1]=2 */
                   7290:            /*printf("stre=%s ", stre);*/
                   7291:          } else if (strcmp(strd,"age")==0) { /* or age*Vn */
                   7292:            cptcovprod--;
                   7293:            cutl(stre,strb,strc,'V');
                   7294:            Tvar[k]=atoi(stre);
                   7295:            cptcovage++;
                   7296:            Tage[cptcovage]=k;
                   7297:          } else {  /* Age is not in the model product V2+V1+V1*V4+V3*age+V3*V2  strb=V3*V2*/
                   7298:            /* loops on k1=1 (V3*V2) and k1=2 V4*V3 */
                   7299:            cptcovn++;
                   7300:            cptcovprodnoage++;k1++;
                   7301:            cutl(stre,strb,strc,'V'); /* strc= Vn, stre is n; strb=V3*V2 stre=3 strc=*/
                   7302:            Tvar[k]=ncovcol+k1; /* For model-covariate k tells which data-covariate to use but
                   7303:                                   because this model-covariate is a construction we invent a new column
                   7304:                                   ncovcol + k1
                   7305:                                   If already ncovcol=4 and model=V2+V1+V1*V4+age*V3+V3*V2
                   7306:                                   Tvar[3=V1*V4]=4+1 Tvar[5=V3*V2]=4 + 2= 6, etc */
                   7307:            cutl(strc,strb,strd,'V'); /* strd was Vm, strc is m */
                   7308:            Tprod[k1]=k;  /* Tprod[1]=3(=V1*V4) for V2+V1+V1*V4+age*V3+V3*V2  */
                   7309:            Tvard[k1][1] =atoi(strc); /* m 1 for V1*/
                   7310:            Tvard[k1][2] =atoi(stre); /* n 4 for V4*/
                   7311:            k2=k2+2;
                   7312:            Tvar[cptcovt+k2]=Tvard[k1][1]; /* Tvar[(cptcovt=4+k2=1)=5]= 1 (V1) */
                   7313:            Tvar[cptcovt+k2+1]=Tvard[k1][2];  /* Tvar[(cptcovt=4+(k2=1)+1)=6]= 4 (V4) */
                   7314:            for (i=1; i<=lastobs;i++){
                   7315:              /* Computes the new covariate which is a product of
                   7316:                 covar[n][i]* covar[m][i] and stores it at ncovol+k1 May not be defined */
                   7317:              covar[ncovcol+k1][i]=covar[atoi(stre)][i]*covar[atoi(strc)][i];
                   7318:            }
                   7319:          } /* End age is not in the model */
                   7320:        } /* End if model includes a product */
                   7321:        else { /* no more sum */
                   7322:          /*printf("d=%s c=%s b=%s\n", strd,strc,strb);*/
                   7323:          /*  scanf("%d",i);*/
                   7324:          cutl(strd,strc,strb,'V');
                   7325:          ks++; /**< Number of simple covariates */
1.145     brouard  7326:          cptcovn++;
1.187     brouard  7327:          Tvar[k]=atoi(strd);
                   7328:        }
                   7329:        strcpy(modelsav,stra);  /* modelsav=V2+V1+V4 stra=V2+V1+V4 */ 
                   7330:        /*printf("a=%s b=%s sav=%s\n", stra,strb,modelsav);
                   7331:          scanf("%d",i);*/
                   7332:       } /* end of loop + on total covariates */
                   7333:     } /* end if strlen(modelsave == 0) age*age might exist */
                   7334:   } /* end if strlen(model == 0) */
1.136     brouard  7335:   
                   7336:   /*The number n of Vn is stored in Tvar. cptcovage =number of age covariate. Tage gives the position of age. cptcovprod= number of products.
                   7337:     If model=V1+V1*age then Tvar[1]=1 Tvar[2]=1 cptcovage=1 Tage[1]=2 cptcovprod=0*/
                   7338: 
                   7339:   /* printf("tvar1=%d tvar2=%d tvar3=%d cptcovage=%d Tage=%d",Tvar[1],Tvar[2],Tvar[3],cptcovage,Tage[1]);
                   7340:   printf("cptcovprod=%d ", cptcovprod);
                   7341:   fprintf(ficlog,"cptcovprod=%d ", cptcovprod);
                   7342: 
                   7343:   scanf("%d ",i);*/
                   7344: 
                   7345: 
1.137     brouard  7346:   return (0); /* with covar[new additional covariate if product] and Tage if age */ 
1.164     brouard  7347:   /*endread:*/
1.136     brouard  7348:     printf("Exiting decodemodel: ");
                   7349:     return (1);
                   7350: }
                   7351: 
1.169     brouard  7352: int calandcheckages(int imx, int maxwav, double *agemin, double *agemax, int *nberr, int *nbwarn )
1.136     brouard  7353: {
                   7354:   int i, m;
1.218   ! brouard  7355:   int firstone=0;
        !          7356:   
1.136     brouard  7357:   for (i=1; i<=imx; i++) {
                   7358:     for(m=2; (m<= maxwav); m++) {
                   7359:       if (((int)mint[m][i]== 99) && (s[m][i] <= nlstate)){
                   7360:        anint[m][i]=9999;
1.216     brouard  7361:        if (s[m][i] != -2) /* Keeping initial status of unknown vital status */
                   7362:          s[m][i]=-1;
1.136     brouard  7363:       }
                   7364:       if((int)moisdc[i]==99 && (int)andc[i]==9999 && s[m][i]>nlstate){
1.169     brouard  7365:        *nberr = *nberr + 1;
1.218   ! brouard  7366:        if(firstone == 0){
        !          7367:          firstone=1;
        !          7368:        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 can be biased (%d) because status is a death state %d at wave %d. Wave dropped.\nOther similar cases in log file\n",(int)moisdc[i],(int)andc[i],num[i],i, *nberr,s[m][i],m);
        !          7369:        }
        !          7370:        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 can be biased (%d) because status is a death state %d at wave %d. Wave dropped.\n",(int)moisdc[i],(int)andc[i],num[i],i, *nberr,s[m][i],m);
1.136     brouard  7371:        s[m][i]=-1;
                   7372:       }
                   7373:       if((int)moisdc[i]==99 && (int)andc[i]!=9999 && s[m][i]>nlstate){
1.169     brouard  7374:        (*nberr)++;
1.136     brouard  7375:        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]); 
                   7376:        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]); 
                   7377:        s[m][i]=-1; /* We prefer to skip it (and to skip it in version 0.8a1 too */
                   7378:       }
                   7379:     }
                   7380:   }
                   7381: 
                   7382:   for (i=1; i<=imx; i++)  {
                   7383:     agedc[i]=(moisdc[i]/12.+andc[i])-(moisnais[i]/12.+annais[i]);
                   7384:     for(m=firstpass; (m<= lastpass); m++){
1.214     brouard  7385:       if(s[m][i] >0  || s[m][i]==-1 || s[m][i]==-2 || s[m][i]==-4 || s[m][i]==-5){ /* What if s[m][i]=-1 */
1.136     brouard  7386:        if (s[m][i] >= nlstate+1) {
1.169     brouard  7387:          if(agedc[i]>0){
                   7388:            if((int)moisdc[i]!=99 && (int)andc[i]!=9999){
1.136     brouard  7389:              agev[m][i]=agedc[i];
1.214     brouard  7390:              /*if(moisdc[i]==99 && andc[i]==9999) s[m][i]=-1;*/
1.169     brouard  7391:            }else {
1.136     brouard  7392:              if ((int)andc[i]!=9999){
                   7393:                nbwarn++;
                   7394:                printf("Warning negative age at death: %ld line:%d\n",num[i],i);
                   7395:                fprintf(ficlog,"Warning negative age at death: %ld line:%d\n",num[i],i);
                   7396:                agev[m][i]=-1;
                   7397:              }
                   7398:            }
1.169     brouard  7399:          } /* agedc > 0 */
1.214     brouard  7400:        } /* end if */
1.136     brouard  7401:        else if(s[m][i] !=9){ /* Standard case, age in fractional
                   7402:                                 years but with the precision of a month */
                   7403:          agev[m][i]=(mint[m][i]/12.+1./24.+anint[m][i])-(moisnais[i]/12.+1./24.+annais[i]);
                   7404:          if((int)mint[m][i]==99 || (int)anint[m][i]==9999)
                   7405:            agev[m][i]=1;
                   7406:          else if(agev[m][i] < *agemin){ 
                   7407:            *agemin=agev[m][i];
                   7408:            printf(" Min anint[%d][%d]=%.2f annais[%d]=%.2f, agemin=%.2f\n",m,i,anint[m][i], i,annais[i], *agemin);
                   7409:          }
                   7410:          else if(agev[m][i] >*agemax){
                   7411:            *agemax=agev[m][i];
1.156     brouard  7412:            /* printf(" Max anint[%d][%d]=%.0f annais[%d]=%.0f, agemax=%.2f\n",m,i,anint[m][i], i,annais[i], *agemax);*/
1.136     brouard  7413:          }
                   7414:          /*agev[m][i]=anint[m][i]-annais[i];*/
                   7415:          /*     agev[m][i] = age[i]+2*m;*/
1.214     brouard  7416:        } /* en if 9*/
1.136     brouard  7417:        else { /* =9 */
1.214     brouard  7418:          /* printf("Debug num[%d]=%ld s[%d][%d]=%d\n",i,num[i], m,i, s[m][i]); */
1.136     brouard  7419:          agev[m][i]=1;
                   7420:          s[m][i]=-1;
                   7421:        }
                   7422:       }
1.214     brouard  7423:       else if(s[m][i]==0) /*= 0 Unknown */
1.136     brouard  7424:        agev[m][i]=1;
1.214     brouard  7425:       else{
                   7426:        printf("Warning, num[%d]=%ld, s[%d][%d]=%d\n", i, num[i], m, i,s[m][i]); 
                   7427:        fprintf(ficlog, "Warning, num[%d]=%ld, s[%d][%d]=%d\n", i, num[i], m, i,s[m][i]); 
                   7428:        agev[m][i]=0;
                   7429:       }
                   7430:     } /* End for lastpass */
                   7431:   }
1.136     brouard  7432:     
                   7433:   for (i=1; i<=imx; i++)  {
                   7434:     for(m=firstpass; (m<=lastpass); m++){
                   7435:       if (s[m][i] > (nlstate+ndeath)) {
1.169     brouard  7436:        (*nberr)++;
1.136     brouard  7437:        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);     
                   7438:        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);     
                   7439:        return 1;
                   7440:       }
                   7441:     }
                   7442:   }
                   7443: 
                   7444:   /*for (i=1; i<=imx; i++){
                   7445:   for (m=firstpass; (m<lastpass); m++){
                   7446:      printf("%ld %d %.lf %d %d\n", num[i],(covar[1][i]),agev[m][i],s[m][i],s[m+1][i]);
                   7447: }
                   7448: 
                   7449: }*/
                   7450: 
                   7451: 
1.139     brouard  7452:   printf("Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, *agemin, *agemax);
                   7453:   fprintf(ficlog,"Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, *agemin, *agemax); 
1.136     brouard  7454: 
                   7455:   return (0);
1.164     brouard  7456:  /* endread:*/
1.136     brouard  7457:     printf("Exiting calandcheckages: ");
                   7458:     return (1);
                   7459: }
                   7460: 
1.172     brouard  7461: #if defined(_MSC_VER)
                   7462: /*printf("Visual C++ compiler: %s \n;", _MSC_FULL_VER);*/
                   7463: /*fprintf(ficlog, "Visual C++ compiler: %s \n;", _MSC_FULL_VER);*/
                   7464: //#include "stdafx.h"
                   7465: //#include <stdio.h>
                   7466: //#include <tchar.h>
                   7467: //#include <windows.h>
                   7468: //#include <iostream>
                   7469: typedef BOOL(WINAPI *LPFN_ISWOW64PROCESS) (HANDLE, PBOOL);
                   7470: 
                   7471: LPFN_ISWOW64PROCESS fnIsWow64Process;
                   7472: 
                   7473: BOOL IsWow64()
                   7474: {
                   7475:        BOOL bIsWow64 = FALSE;
                   7476: 
                   7477:        //typedef BOOL (APIENTRY *LPFN_ISWOW64PROCESS)
                   7478:        //  (HANDLE, PBOOL);
                   7479: 
                   7480:        //LPFN_ISWOW64PROCESS fnIsWow64Process;
                   7481: 
                   7482:        HMODULE module = GetModuleHandle(_T("kernel32"));
                   7483:        const char funcName[] = "IsWow64Process";
                   7484:        fnIsWow64Process = (LPFN_ISWOW64PROCESS)
                   7485:                GetProcAddress(module, funcName);
                   7486: 
                   7487:        if (NULL != fnIsWow64Process)
                   7488:        {
                   7489:                if (!fnIsWow64Process(GetCurrentProcess(),
                   7490:                        &bIsWow64))
                   7491:                        //throw std::exception("Unknown error");
                   7492:                        printf("Unknown error\n");
                   7493:        }
                   7494:        return bIsWow64 != FALSE;
                   7495: }
                   7496: #endif
1.177     brouard  7497: 
1.191     brouard  7498: void syscompilerinfo(int logged)
1.167     brouard  7499:  {
                   7500:    /* #include "syscompilerinfo.h"*/
1.185     brouard  7501:    /* command line Intel compiler 32bit windows, XP compatible:*/
                   7502:    /* /GS /W3 /Gy
                   7503:       /Zc:wchar_t /Zi /O2 /Fd"Release\vc120.pdb" /D "WIN32" /D "NDEBUG" /D
                   7504:       "_CONSOLE" /D "_LIB" /D "_USING_V110_SDK71_" /D "_UNICODE" /D
                   7505:       "UNICODE" /Qipo /Zc:forScope /Gd /Oi /MT /Fa"Release\" /EHsc /nologo
1.186     brouard  7506:       /Fo"Release\" /Qprof-dir "Release\" /Fp"Release\IMaCh.pch"
                   7507:    */ 
                   7508:    /* 64 bits */
1.185     brouard  7509:    /*
                   7510:      /GS /W3 /Gy
                   7511:      /Zc:wchar_t /Zi /O2 /Fd"x64\Release\vc120.pdb" /D "WIN32" /D "NDEBUG"
                   7512:      /D "_CONSOLE" /D "_LIB" /D "_UNICODE" /D "UNICODE" /Qipo /Zc:forScope
                   7513:      /Oi /MD /Fa"x64\Release\" /EHsc /nologo /Fo"x64\Release\" /Qprof-dir
                   7514:      "x64\Release\" /Fp"x64\Release\IMaCh.pch" */
                   7515:    /* Optimization are useless and O3 is slower than O2 */
                   7516:    /*
                   7517:      /GS /W3 /Gy /Zc:wchar_t /Zi /O3 /Fd"x64\Release\vc120.pdb" /D "WIN32" 
                   7518:      /D "NDEBUG" /D "_CONSOLE" /D "_LIB" /D "_UNICODE" /D "UNICODE" /Qipo 
                   7519:      /Zc:forScope /Oi /MD /Fa"x64\Release\" /EHsc /nologo /Qparallel 
                   7520:      /Fo"x64\Release\" /Qprof-dir "x64\Release\" /Fp"x64\Release\IMaCh.pch" 
                   7521:    */
1.186     brouard  7522:    /* Link is */ /* /OUT:"visual studio
1.185     brouard  7523:       2013\Projects\IMaCh\Release\IMaCh.exe" /MANIFEST /NXCOMPAT
                   7524:       /PDB:"visual studio
                   7525:       2013\Projects\IMaCh\Release\IMaCh.pdb" /DYNAMICBASE
                   7526:       "kernel32.lib" "user32.lib" "gdi32.lib" "winspool.lib"
                   7527:       "comdlg32.lib" "advapi32.lib" "shell32.lib" "ole32.lib"
                   7528:       "oleaut32.lib" "uuid.lib" "odbc32.lib" "odbccp32.lib"
                   7529:       /MACHINE:X86 /OPT:REF /SAFESEH /INCREMENTAL:NO
                   7530:       /SUBSYSTEM:CONSOLE",5.01" /MANIFESTUAC:"level='asInvoker'
                   7531:       uiAccess='false'"
                   7532:       /ManifestFile:"Release\IMaCh.exe.intermediate.manifest" /OPT:ICF
                   7533:       /NOLOGO /TLBID:1
                   7534:    */
1.177     brouard  7535: #if defined __INTEL_COMPILER
1.178     brouard  7536: #if defined(__GNUC__)
                   7537:        struct utsname sysInfo;  /* For Intel on Linux and OS/X */
                   7538: #endif
1.177     brouard  7539: #elif defined(__GNUC__) 
1.179     brouard  7540: #ifndef  __APPLE__
1.174     brouard  7541: #include <gnu/libc-version.h>  /* Only on gnu */
1.179     brouard  7542: #endif
1.177     brouard  7543:    struct utsname sysInfo;
1.178     brouard  7544:    int cross = CROSS;
                   7545:    if (cross){
                   7546:           printf("Cross-");
1.191     brouard  7547:           if(logged) fprintf(ficlog, "Cross-");
1.178     brouard  7548:    }
1.174     brouard  7549: #endif
                   7550: 
1.171     brouard  7551: #include <stdint.h>
1.178     brouard  7552: 
1.191     brouard  7553:    printf("Compiled with:");if(logged)fprintf(ficlog,"Compiled with:");
1.169     brouard  7554: #if defined(__clang__)
1.191     brouard  7555:    printf(" Clang/LLVM");if(logged)fprintf(ficlog," Clang/LLVM");      /* Clang/LLVM. ---------------------------------------------- */
1.169     brouard  7556: #endif
                   7557: #if defined(__ICC) || defined(__INTEL_COMPILER)
1.191     brouard  7558:    printf(" Intel ICC/ICPC");if(logged)fprintf(ficlog," Intel ICC/ICPC");/* Intel ICC/ICPC. ------------------------------------------ */
1.169     brouard  7559: #endif
                   7560: #if defined(__GNUC__) || defined(__GNUG__)
1.191     brouard  7561:    printf(" GNU GCC/G++");if(logged)fprintf(ficlog," GNU GCC/G++");/* GNU GCC/G++. --------------------------------------------- */
1.169     brouard  7562: #endif
                   7563: #if defined(__HP_cc) || defined(__HP_aCC)
1.191     brouard  7564:    printf(" Hewlett-Packard C/aC++");if(logged)fprintf(fcilog," Hewlett-Packard C/aC++"); /* Hewlett-Packard C/aC++. ---------------------------------- */
1.169     brouard  7565: #endif
                   7566: #if defined(__IBMC__) || defined(__IBMCPP__)
1.191     brouard  7567:    printf(" IBM XL C/C++"); if(logged) fprintf(ficlog," IBM XL C/C++");/* IBM XL C/C++. -------------------------------------------- */
1.169     brouard  7568: #endif
                   7569: #if defined(_MSC_VER)
1.191     brouard  7570:    printf(" Microsoft Visual Studio");if(logged)fprintf(ficlog," Microsoft Visual Studio");/* Microsoft Visual Studio. --------------------------------- */
1.169     brouard  7571: #endif
                   7572: #if defined(__PGI)
1.191     brouard  7573:    printf(" Portland Group PGCC/PGCPP");if(logged) fprintf(ficlog," Portland Group PGCC/PGCPP");/* Portland Group PGCC/PGCPP. ------------------------------- */
1.169     brouard  7574: #endif
                   7575: #if defined(__SUNPRO_C) || defined(__SUNPRO_CC)
1.191     brouard  7576:    printf(" Oracle Solaris Studio");if(logged)fprintf(ficlog," Oracle Solaris Studio\n");/* Oracle Solaris Studio. ----------------------------------- */
1.167     brouard  7577: #endif
1.191     brouard  7578:    printf(" for "); if (logged) fprintf(ficlog, " for ");
1.169     brouard  7579:    
1.167     brouard  7580: // http://stackoverflow.com/questions/4605842/how-to-identify-platform-compiler-from-preprocessor-macros
                   7581: #ifdef _WIN32 // note the underscore: without it, it's not msdn official!
                   7582:     // Windows (x64 and x86)
1.191     brouard  7583:    printf("Windows (x64 and x86) ");if(logged) fprintf(ficlog,"Windows (x64 and x86) ");
1.167     brouard  7584: #elif __unix__ // all unices, not all compilers
                   7585:     // Unix
1.191     brouard  7586:    printf("Unix ");if(logged) fprintf(ficlog,"Unix ");
1.167     brouard  7587: #elif __linux__
                   7588:     // linux
1.191     brouard  7589:    printf("linux ");if(logged) fprintf(ficlog,"linux ");
1.167     brouard  7590: #elif __APPLE__
1.174     brouard  7591:     // Mac OS, not sure if this is covered by __posix__ and/or __unix__ though..
1.191     brouard  7592:    printf("Mac OS ");if(logged) fprintf(ficlog,"Mac OS ");
1.167     brouard  7593: #endif
                   7594: 
                   7595: /*  __MINGW32__          */
                   7596: /*  __CYGWIN__  */
                   7597: /* __MINGW64__  */
                   7598: // http://msdn.microsoft.com/en-us/library/b0084kay.aspx
                   7599: /* _MSC_VER  //the Visual C++ compiler is 17.00.51106.1, the _MSC_VER macro evaluates to 1700. Type cl /?  */
                   7600: /* _MSC_FULL_VER //the Visual C++ compiler is 15.00.20706.01, the _MSC_FULL_VER macro evaluates to 150020706 */
                   7601: /* _WIN64  // Defined for applications for Win64. */
                   7602: /* _M_X64 // Defined for compilations that target x64 processors. */
                   7603: /* _DEBUG // Defined when you compile with /LDd, /MDd, and /MTd. */
1.171     brouard  7604: 
1.167     brouard  7605: #if UINTPTR_MAX == 0xffffffff
1.191     brouard  7606:    printf(" 32-bit"); if(logged) fprintf(ficlog," 32-bit");/* 32-bit */
1.167     brouard  7607: #elif UINTPTR_MAX == 0xffffffffffffffff
1.191     brouard  7608:    printf(" 64-bit"); if(logged) fprintf(ficlog," 64-bit");/* 64-bit */
1.167     brouard  7609: #else
1.191     brouard  7610:    printf(" wtf-bit"); if(logged) fprintf(ficlog," wtf-bit");/* wtf */
1.167     brouard  7611: #endif
                   7612: 
1.169     brouard  7613: #if defined(__GNUC__)
                   7614: # if defined(__GNUC_PATCHLEVEL__)
                   7615: #  define __GNUC_VERSION__ (__GNUC__ * 10000 \
                   7616:                             + __GNUC_MINOR__ * 100 \
                   7617:                             + __GNUC_PATCHLEVEL__)
                   7618: # else
                   7619: #  define __GNUC_VERSION__ (__GNUC__ * 10000 \
                   7620:                             + __GNUC_MINOR__ * 100)
                   7621: # endif
1.174     brouard  7622:    printf(" using GNU C version %d.\n", __GNUC_VERSION__);
1.191     brouard  7623:    if(logged) fprintf(ficlog, " using GNU C version %d.\n", __GNUC_VERSION__);
1.176     brouard  7624: 
                   7625:    if (uname(&sysInfo) != -1) {
                   7626:      printf("Running on: %s %s %s %s %s\n",sysInfo.sysname, sysInfo.nodename, sysInfo.release, sysInfo.version, sysInfo.machine);
1.191     brouard  7627:         if(logged) fprintf(ficlog,"Running on: %s %s %s %s %s\n ",sysInfo.sysname, sysInfo.nodename, sysInfo.release, sysInfo.version, sysInfo.machine);
1.176     brouard  7628:    }
                   7629:    else
                   7630:       perror("uname() error");
1.179     brouard  7631:    //#ifndef __INTEL_COMPILER 
                   7632: #if !defined (__INTEL_COMPILER) && !defined(__APPLE__)
1.174     brouard  7633:    printf("GNU libc version: %s\n", gnu_get_libc_version()); 
1.191     brouard  7634:    if(logged) fprintf(ficlog,"GNU libc version: %s\n", gnu_get_libc_version());
1.177     brouard  7635: #endif
1.169     brouard  7636: #endif
1.172     brouard  7637: 
                   7638:    //   void main()
                   7639:    //   {
1.169     brouard  7640: #if defined(_MSC_VER)
1.174     brouard  7641:    if (IsWow64()){
1.191     brouard  7642:           printf("\nThe program (probably compiled for 32bit) is running under WOW64 (64bit) emulation.\n");
                   7643:           if (logged) fprintf(ficlog, "\nThe program (probably compiled for 32bit) is running under WOW64 (64bit) emulation.\n");
1.174     brouard  7644:    }
                   7645:    else{
1.191     brouard  7646:           printf("\nThe program is not running under WOW64 (i.e probably on a 64bit Windows).\n");
                   7647:           if (logged) fprintf(ficlog, "\nThe programm is not running under WOW64 (i.e probably on a 64bit Windows).\n");
1.174     brouard  7648:    }
1.172     brouard  7649:    //     printf("\nPress Enter to continue...");
                   7650:    //     getchar();
                   7651:    //   }
                   7652: 
1.169     brouard  7653: #endif
                   7654:    
1.167     brouard  7655: 
                   7656:  }
1.136     brouard  7657: 
1.209     brouard  7658:  int prevalence_limit(double *p, double **prlim, double ageminpar, double agemaxpar, double ftolpl, int *ncvyearp){
1.180     brouard  7659:   /*--------------- Prevalence limit  (period or stable prevalence) --------------*/
                   7660:   int i, j, k, i1 ;
1.202     brouard  7661:   /* double ftolpl = 1.e-10; */
1.180     brouard  7662:   double age, agebase, agelim;
1.203     brouard  7663:   double tot;
1.180     brouard  7664: 
1.202     brouard  7665:   strcpy(filerespl,"PL_");
                   7666:   strcat(filerespl,fileresu);
                   7667:   if((ficrespl=fopen(filerespl,"w"))==NULL) {
                   7668:     printf("Problem with period (stable) prevalence resultfile: %s\n", filerespl);return 1;
                   7669:     fprintf(ficlog,"Problem with period (stable) prevalence resultfile: %s\n", filerespl);return 1;
                   7670:   }
                   7671:   printf("Computing period (stable) prevalence: result on file '%s' \n", filerespl);
                   7672:   fprintf(ficlog,"Computing period (stable) prevalence: result on file '%s' \n", filerespl);
                   7673:   pstamp(ficrespl);
1.203     brouard  7674:   fprintf(ficrespl,"# Period (stable) prevalence. Precision given by ftolpl=%g \n", ftolpl);
1.202     brouard  7675:   fprintf(ficrespl,"#Age ");
                   7676:   for(i=1; i<=nlstate;i++) fprintf(ficrespl,"%d-%d ",i,i);
                   7677:   fprintf(ficrespl,"\n");
1.180     brouard  7678:   
                   7679:     /* prlim=matrix(1,nlstate,1,nlstate);*/ /* back in main */
                   7680: 
                   7681:     agebase=ageminpar;
                   7682:     agelim=agemaxpar;
                   7683: 
                   7684:     i1=pow(2,cptcoveff);
                   7685:     if (cptcovn < 1){i1=1;}
                   7686: 
                   7687:     for(cptcov=1,k=0;cptcov<=i1;cptcov++){
                   7688:     /* for(cptcov=1,k=0;cptcov<=1;cptcov++){ */
                   7689:       //for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){
                   7690:        k=k+1;
                   7691:        /* to clean */
1.198     brouard  7692:        //printf("cptcov=%d cptcod=%d codtab=%d\n",cptcov, cptcod,codtabm(cptcod,cptcov));
1.200     brouard  7693:        fprintf(ficrespl,"#******");
                   7694:        printf("#******");
                   7695:        fprintf(ficlog,"#******");
1.180     brouard  7696:        for(j=1;j<=cptcoveff;j++) {
1.198     brouard  7697:          fprintf(ficrespl," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   7698:          printf(" V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   7699:          fprintf(ficlog," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.180     brouard  7700:        }
                   7701:        fprintf(ficrespl,"******\n");
                   7702:        printf("******\n");
                   7703:        fprintf(ficlog,"******\n");
                   7704: 
                   7705:        fprintf(ficrespl,"#Age ");
                   7706:        for(j=1;j<=cptcoveff;j++) {
1.200     brouard  7707:          fprintf(ficrespl,"V%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.180     brouard  7708:        }
1.203     brouard  7709:        for(i=1; i<=nlstate;i++) fprintf(ficrespl,"  %d-%d   ",i,i);
                   7710:        fprintf(ficrespl,"Total Years_to_converge\n");
1.180     brouard  7711:        
                   7712:        for (age=agebase; age<=agelim; age++){
                   7713:        /* for (age=agebase; age<=agebase; age++){ */
1.209     brouard  7714:          prevalim(prlim, nlstate, p, age, oldm, savm, ftolpl, ncvyearp, k);
1.180     brouard  7715:          fprintf(ficrespl,"%.0f ",age );
                   7716:          for(j=1;j<=cptcoveff;j++)
1.198     brouard  7717:            fprintf(ficrespl,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.203     brouard  7718:          tot=0.;
                   7719:          for(i=1; i<=nlstate;i++){
                   7720:            tot +=  prlim[i][i];
1.180     brouard  7721:            fprintf(ficrespl," %.5f", prlim[i][i]);
1.203     brouard  7722:          }
1.209     brouard  7723:          fprintf(ficrespl," %.3f %d\n", tot, *ncvyearp);
1.180     brouard  7724:        } /* Age */
                   7725:        /* was end of cptcod */
                   7726:     } /* cptcov */
1.184     brouard  7727:        return 0;
1.180     brouard  7728: }
                   7729: 
1.218   ! brouard  7730: int back_prevalence_limit(double *p, double **bprlim, double ageminpar, double agemaxpar, double ftolpl, int *ncvyearp, double dateprev1,double dateprev2, int firstpass, int lastpass, int mobilavproj){
        !          7731:        /*--------------- Back Prevalence limit  (period or stable prevalence) --------------*/
        !          7732:        
        !          7733:        /* Computes the back prevalence limit  for any combination      of covariate values 
        !          7734:    * at any age between ageminpar and agemaxpar
        !          7735:         */
1.217     brouard  7736:   int i, j, k, i1 ;
                   7737:   /* double ftolpl = 1.e-10; */
                   7738:   double age, agebase, agelim;
                   7739:   double tot;
1.218   ! brouard  7740:   /* double ***mobaverage; */
        !          7741:   /* double     **dnewm, **doldm, **dsavm;  /\* for use *\/ */
1.217     brouard  7742: 
                   7743:   strcpy(fileresplb,"PLB_");
                   7744:   strcat(fileresplb,fileresu);
                   7745:   if((ficresplb=fopen(fileresplb,"w"))==NULL) {
                   7746:     printf("Problem with period (stable) back prevalence resultfile: %s\n", fileresplb);return 1;
                   7747:     fprintf(ficlog,"Problem with period (stable) back prevalence resultfile: %s\n", fileresplb);return 1;
                   7748:   }
                   7749:   printf("Computing period (stable) back prevalence: result on file '%s' \n", fileresplb);
                   7750:   fprintf(ficlog,"Computing period (stable) back prevalence: result on file '%s' \n", fileresplb);
                   7751:   pstamp(ficresplb);
                   7752:   fprintf(ficresplb,"# Period (stable) back prevalence. Precision given by ftolpl=%g \n", ftolpl);
                   7753:   fprintf(ficresplb,"#Age ");
                   7754:   for(i=1; i<=nlstate;i++) fprintf(ficresplb,"%d-%d ",i,i);
                   7755:   fprintf(ficresplb,"\n");
                   7756:   
1.218   ! brouard  7757:   
        !          7758:   /* prlim=matrix(1,nlstate,1,nlstate);*/ /* back in main */
        !          7759:   
        !          7760:   agebase=ageminpar;
        !          7761:   agelim=agemaxpar;
        !          7762:   
        !          7763:   
        !          7764:   i1=pow(2,cptcoveff);
        !          7765:   if (cptcovn < 1){i1=1;}
        !          7766:   
        !          7767:   for(cptcov=1,k=0;cptcov<=i1;cptcov++){
1.217     brouard  7768:     /* for(cptcov=1,k=0;cptcov<=1;cptcov++){ */
1.218   ! brouard  7769:     //for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){
        !          7770:     k=k+1;
        !          7771:     /* to clean */
        !          7772:     //printf("cptcov=%d cptcod=%d codtab=%d\n",cptcov, cptcod,codtabm(cptcod,cptcov));
        !          7773:     fprintf(ficresplb,"#******");
        !          7774:     printf("#******");
        !          7775:     fprintf(ficlog,"#******");
        !          7776:     for(j=1;j<=cptcoveff;j++) {
        !          7777:       fprintf(ficresplb," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
        !          7778:       printf(" V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
        !          7779:       fprintf(ficlog," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
        !          7780:     }
        !          7781:     fprintf(ficresplb,"******\n");
        !          7782:     printf("******\n");
        !          7783:     fprintf(ficlog,"******\n");
        !          7784:     
        !          7785:     fprintf(ficresplb,"#Age ");
        !          7786:     for(j=1;j<=cptcoveff;j++) {
        !          7787:       fprintf(ficresplb,"V%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
        !          7788:     }
        !          7789:     for(i=1; i<=nlstate;i++) fprintf(ficresplb,"  %d-%d   ",i,i);
        !          7790:     fprintf(ficresplb,"Total Years_to_converge\n");
        !          7791:     
        !          7792:     
        !          7793:     for (age=agebase; age<=agelim; age++){
        !          7794:       /* for (age=agebase; age<=agebase; age++){ */
        !          7795:       if(mobilavproj > 0){
        !          7796:        /* bprevalim(bprlim, mobaverage, nlstate, p, age, ageminpar, agemaxpar, oldm, savm, doldm, dsavm, ftolpl, ncvyearp, k); */
        !          7797:        /* bprevalim(bprlim, mobaverage, nlstate, p, age, oldm, savm, dnewm, doldm, dsavm, ftolpl, ncvyearp, k); */
        !          7798:        bprevalim(bprlim, mobaverage, nlstate, p, age, ftolpl, ncvyearp, k);
        !          7799:       }else if (mobilavproj == 0){
        !          7800:        printf("There is no chance to get back prevalence limit if data aren't non zero and summing to 1, please try a non null mobil_average(=%d) parameter or mobil_average=-1 if you want to try at your own risk.\n",mobilavproj);
        !          7801:        fprintf(ficlog,"There is no chance to get back prevalence limit if data aren't non zero and summing to 1, please try a non null mobil_average(=%d) parameter or mobil_average=-1 if you want to try at your own risk.\n",mobilavproj);
        !          7802:        exit(1);
        !          7803:       }else{
        !          7804:        /* bprevalim(bprlim, probs, nlstate, p, age, oldm, savm, dnewm, doldm, dsavm, ftolpl, ncvyearp, k); */
        !          7805:        bprevalim(bprlim, probs, nlstate, p, age, ftolpl, ncvyearp, k);
        !          7806:       }
        !          7807:       fprintf(ficresplb,"%.0f ",age );
        !          7808:       for(j=1;j<=cptcoveff;j++)
        !          7809:        fprintf(ficresplb,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
        !          7810:       tot=0.;
        !          7811:       for(i=1; i<=nlstate;i++){
        !          7812:        tot +=  bprlim[i][i];
        !          7813:        fprintf(ficresplb," %.5f", bprlim[i][i]);
        !          7814:       }
        !          7815:       fprintf(ficresplb," %.3f %d\n", tot, *ncvyearp);
        !          7816:     } /* Age */
        !          7817:     /* was end of cptcod */
        !          7818:   } /* cptcov */
        !          7819:   
        !          7820:   /* hBijx(p, bage, fage); */
        !          7821:   /* fclose(ficrespijb); */
        !          7822:   
        !          7823:   return 0;
1.217     brouard  7824: }
1.218   ! brouard  7825:  
1.180     brouard  7826: int hPijx(double *p, int bage, int fage){
                   7827:     /*------------- h Pij x at various ages ------------*/
                   7828: 
                   7829:   int stepsize;
                   7830:   int agelim;
                   7831:   int hstepm;
                   7832:   int nhstepm;
                   7833:   int h, i, i1, j, k;
                   7834: 
                   7835:   double agedeb;
                   7836:   double ***p3mat;
                   7837: 
1.201     brouard  7838:     strcpy(filerespij,"PIJ_");  strcat(filerespij,fileresu);
1.180     brouard  7839:     if((ficrespij=fopen(filerespij,"w"))==NULL) {
                   7840:       printf("Problem with Pij resultfile: %s\n", filerespij); return 1;
                   7841:       fprintf(ficlog,"Problem with Pij resultfile: %s\n", filerespij); return 1;
                   7842:     }
                   7843:     printf("Computing pij: result on file '%s' \n", filerespij);
                   7844:     fprintf(ficlog,"Computing pij: result on file '%s' \n", filerespij);
                   7845:   
                   7846:     stepsize=(int) (stepm+YEARM-1)/YEARM;
                   7847:     /*if (stepm<=24) stepsize=2;*/
                   7848: 
                   7849:     agelim=AGESUP;
                   7850:     hstepm=stepsize*YEARM; /* Every year of age */
                   7851:     hstepm=hstepm/stepm; /* Typically 2 years, = 2/6 months = 4 */ 
1.218   ! brouard  7852:                
1.180     brouard  7853:     /* hstepm=1;   aff par mois*/
                   7854:     pstamp(ficrespij);
                   7855:     fprintf(ficrespij,"#****** h Pij x Probability to be in state j at age x+h being in i at x ");
                   7856:     i1= pow(2,cptcoveff);
1.218   ! brouard  7857:                /* for(cptcov=1,k=0;cptcov<=i1;cptcov++){ */
        !          7858:                /*    /\*for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*\/ */
        !          7859:                /*      k=k+1;  */
1.183     brouard  7860:     for (k=1; k <= (int) pow(2,cptcoveff); k++){
                   7861:       fprintf(ficrespij,"\n#****** ");
                   7862:       for(j=1;j<=cptcoveff;j++) 
1.198     brouard  7863:        fprintf(ficrespij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.183     brouard  7864:       fprintf(ficrespij,"******\n");
                   7865:       
                   7866:       for (agedeb=fage; agedeb>=bage; agedeb--){ /* If stepm=6 months */
                   7867:        nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
                   7868:        nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
                   7869:        
                   7870:        /*        nhstepm=nhstepm*YEARM; aff par mois*/
1.180     brouard  7871:        
1.183     brouard  7872:        p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   7873:        oldm=oldms;savm=savms;
                   7874:        hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);  
                   7875:        fprintf(ficrespij,"# Cov Agex agex+h hpijx with i,j=");
                   7876:        for(i=1; i<=nlstate;i++)
                   7877:          for(j=1; j<=nlstate+ndeath;j++)
                   7878:            fprintf(ficrespij," %1d-%1d",i,j);
                   7879:        fprintf(ficrespij,"\n");
                   7880:        for (h=0; h<=nhstepm; h++){
                   7881:          /*agedebphstep = agedeb + h*hstepm/YEARM*stepm;*/
                   7882:          fprintf(ficrespij,"%d %3.f %3.f",k, agedeb, agedeb + h*hstepm/YEARM*stepm );
1.180     brouard  7883:          for(i=1; i<=nlstate;i++)
                   7884:            for(j=1; j<=nlstate+ndeath;j++)
1.183     brouard  7885:              fprintf(ficrespij," %.5f", p3mat[i][j][h]);
1.180     brouard  7886:          fprintf(ficrespij,"\n");
                   7887:        }
1.183     brouard  7888:        free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   7889:        fprintf(ficrespij,"\n");
                   7890:       }
1.180     brouard  7891:       /*}*/
                   7892:     }
1.218   ! brouard  7893:     return 0;
1.180     brouard  7894: }
1.218   ! brouard  7895:  
        !          7896:  int hBijx(double *p, int bage, int fage, double ***prevacurrent){
1.217     brouard  7897:     /*------------- h Bij x at various ages ------------*/
                   7898: 
                   7899:   int stepsize;
1.218   ! brouard  7900:   /* int agelim; */
        !          7901:        int ageminl;
1.217     brouard  7902:   int hstepm;
                   7903:   int nhstepm;
                   7904:   int h, i, i1, j, k;
1.218   ! brouard  7905:        
1.217     brouard  7906:   double agedeb;
                   7907:   double ***p3mat;
1.218   ! brouard  7908:        
        !          7909:   strcpy(filerespijb,"PIJB_");  strcat(filerespijb,fileresu);
        !          7910:   if((ficrespijb=fopen(filerespijb,"w"))==NULL) {
        !          7911:     printf("Problem with Pij back resultfile: %s\n", filerespijb); return 1;
        !          7912:     fprintf(ficlog,"Problem with Pij back resultfile: %s\n", filerespijb); return 1;
        !          7913:   }
        !          7914:   printf("Computing pij back: result on file '%s' \n", filerespijb);
        !          7915:   fprintf(ficlog,"Computing pij back: result on file '%s' \n", filerespijb);
        !          7916:   
        !          7917:   stepsize=(int) (stepm+YEARM-1)/YEARM;
        !          7918:   /*if (stepm<=24) stepsize=2;*/
1.217     brouard  7919:   
1.218   ! brouard  7920:   /* agelim=AGESUP; */
        !          7921:   ageminl=30;
        !          7922:   hstepm=stepsize*YEARM; /* Every year of age */
        !          7923:   hstepm=hstepm/stepm; /* Typically 2 years, = 2/6 months = 4 */
        !          7924:   
        !          7925:   /* hstepm=1;   aff par mois*/
        !          7926:   pstamp(ficrespijb);
        !          7927:   fprintf(ficrespijb,"#****** h Pij x Back Probability to be in state i at age x-h being in j at x ");
        !          7928:   i1= pow(2,cptcoveff);
        !          7929:   /* for(cptcov=1,k=0;cptcov<=i1;cptcov++){ */
        !          7930:   /*    /\*for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*\/ */
        !          7931:   /*   k=k+1;  */
        !          7932:   for (k=1; k <= (int) pow(2,cptcoveff); k++){
        !          7933:     fprintf(ficrespijb,"\n#****** ");
        !          7934:     for(j=1;j<=cptcoveff;j++)
        !          7935:       fprintf(ficrespijb,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
        !          7936:     fprintf(ficrespijb,"******\n");
        !          7937:     
        !          7938:     /* for (agedeb=fage; agedeb>=bage; agedeb--){ /\* If stepm=6 months *\/ */
        !          7939:     for (agedeb=bage; agedeb<=fage; agedeb++){ /* If stepm=6 months and estepm=24 (2 years) */
        !          7940:       /* nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); /\* Typically 20 years = 20*12/6=40 *\/ */
        !          7941:       nhstepm=(int) rint((agedeb-ageminl)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */
        !          7942:       nhstepm = nhstepm/hstepm; /* Typically 40/4=10, because estepm=24 stepm=6 => hstepm=24/6=4 */
        !          7943:       
        !          7944:       /*         nhstepm=nhstepm*YEARM; aff par mois*/
        !          7945:       
        !          7946:       p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
        !          7947:       /* oldm=oldms;savm=savms; */
        !          7948:       /* hbxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);   */
        !          7949:       hbxij(p3mat,nhstepm,agedeb,hstepm,p,prevacurrent,nlstate,stepm, k);
        !          7950:       /* hbxij(p3mat,nhstepm,agedeb,hstepm,p,prevacurrent,nlstate,stepm,oldm,savm, dnewm, doldm, dsavm, k); */
        !          7951:       fprintf(ficrespijb,"# Cov Agex agex-h hpijx with i,j=");
        !          7952:       for(i=1; i<=nlstate;i++)
        !          7953:        for(j=1; j<=nlstate+ndeath;j++)
        !          7954:          fprintf(ficrespijb," %1d-%1d",i,j);
        !          7955:       fprintf(ficrespijb,"\n");
        !          7956:       for (h=0; h<=nhstepm; h++){
        !          7957:        /*agedebphstep = agedeb + h*hstepm/YEARM*stepm;*/
        !          7958:        fprintf(ficrespijb,"%d %3.f %3.f",k, agedeb, agedeb - h*hstepm/YEARM*stepm );
        !          7959:        /* fprintf(ficrespijb,"%d %3.f %3.f",k, agedeb, agedeb + h*hstepm/YEARM*stepm ); */
1.217     brouard  7960:        for(i=1; i<=nlstate;i++)
                   7961:          for(j=1; j<=nlstate+ndeath;j++)
1.218   ! brouard  7962:            fprintf(ficrespijb," %.5f", p3mat[i][j][h]);
1.217     brouard  7963:        fprintf(ficrespijb,"\n");
                   7964:       }
1.218   ! brouard  7965:       free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
        !          7966:       fprintf(ficrespijb,"\n");
1.217     brouard  7967:     }
1.218   ! brouard  7968:     /*}*/
        !          7969:   }
        !          7970:   return 0;
        !          7971:  } /*  hBijx */
1.217     brouard  7972: 
1.180     brouard  7973: 
1.136     brouard  7974: /***********************************************/
                   7975: /**************** Main Program *****************/
                   7976: /***********************************************/
                   7977: 
                   7978: int main(int argc, char *argv[])
                   7979: {
                   7980: #ifdef GSL
                   7981:   const gsl_multimin_fminimizer_type *T;
                   7982:   size_t iteri = 0, it;
                   7983:   int rval = GSL_CONTINUE;
                   7984:   int status = GSL_SUCCESS;
                   7985:   double ssval;
                   7986: #endif
                   7987:   int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav);
1.164     brouard  7988:   int i,j, k, n=MAXN,iter=0,m,size=100, cptcod;
1.209     brouard  7989:   int ncvyear=0; /* Number of years needed for the period prevalence to converge */
1.164     brouard  7990:   int jj, ll, li, lj, lk;
1.136     brouard  7991:   int numlinepar=0; /* Current linenumber of parameter file */
1.197     brouard  7992:   int num_filled;
1.136     brouard  7993:   int itimes;
                   7994:   int NDIM=2;
                   7995:   int vpopbased=0;
                   7996: 
1.164     brouard  7997:   char ca[32], cb[32];
1.136     brouard  7998:   /*  FILE *fichtm; *//* Html File */
                   7999:   /* FILE *ficgp;*/ /*Gnuplot File */
                   8000:   struct stat info;
1.191     brouard  8001:   double agedeb=0.;
1.194     brouard  8002: 
                   8003:   double ageminpar=AGEOVERFLOW,agemin=AGEOVERFLOW, agemaxpar=-AGEOVERFLOW, agemax=-AGEOVERFLOW;
1.218   ! brouard  8004:        double ageminout=-AGEOVERFLOW,agemaxout=AGEOVERFLOW; /* Smaller Age range redefined after movingaverage */
1.136     brouard  8005: 
1.165     brouard  8006:   double fret;
1.191     brouard  8007:   double dum=0.; /* Dummy variable */
1.136     brouard  8008:   double ***p3mat;
1.218   ! brouard  8009:   /* double ***mobaverage; */
1.164     brouard  8010: 
                   8011:   char line[MAXLINE];
1.197     brouard  8012:   char path[MAXLINE],pathc[MAXLINE],pathcd[MAXLINE],pathtot[MAXLINE];
                   8013: 
                   8014:   char model[MAXLINE], modeltemp[MAXLINE];
1.136     brouard  8015:   char pathr[MAXLINE], pathimach[MAXLINE]; 
1.164     brouard  8016:   char *tok, *val; /* pathtot */
1.136     brouard  8017:   int firstobs=1, lastobs=10;
1.195     brouard  8018:   int c,  h , cpt, c2;
1.191     brouard  8019:   int jl=0;
                   8020:   int i1, j1, jk, stepsize=0;
1.194     brouard  8021:   int count=0;
                   8022: 
1.164     brouard  8023:   int *tab; 
1.136     brouard  8024:   int mobilavproj=0 , prevfcast=0 ; /* moving average of prev, If prevfcast=1 prevalence projection */
1.217     brouard  8025:   int backcast=0;
1.136     brouard  8026:   int mobilav=0,popforecast=0;
1.191     brouard  8027:   int hstepm=0, nhstepm=0;
1.136     brouard  8028:   int agemortsup;
                   8029:   float  sumlpop=0.;
                   8030:   double jprev1=1, mprev1=1,anprev1=2000,jprev2=1, mprev2=1,anprev2=2000;
                   8031:   double jpyram=1, mpyram=1,anpyram=2000,jpyram1=1, mpyram1=1,anpyram1=2000;
                   8032: 
1.191     brouard  8033:   double bage=0, fage=110., age, agelim=0., agebase=0.;
1.136     brouard  8034:   double ftolpl=FTOL;
                   8035:   double **prlim;
1.217     brouard  8036:   double **bprlim;
1.136     brouard  8037:   double ***param; /* Matrix of parameters */
                   8038:   double  *p;
                   8039:   double **matcov; /* Matrix of covariance */
1.203     brouard  8040:   double **hess; /* Hessian matrix */
1.136     brouard  8041:   double ***delti3; /* Scale */
                   8042:   double *delti; /* Scale */
                   8043:   double ***eij, ***vareij;
                   8044:   double **varpl; /* Variances of prevalence limits by age */
                   8045:   double *epj, vepp;
1.164     brouard  8046: 
1.136     brouard  8047:   double dateprev1, dateprev2,jproj1=1,mproj1=1,anproj1=2000,jproj2=1,mproj2=1,anproj2=2000;
1.217     brouard  8048:   double jback1=1,mback1=1,anback1=2000,jback2=1,mback2=1,anback2=2000;
                   8049: 
1.136     brouard  8050:   double **ximort;
1.145     brouard  8051:   char *alph[]={"a","a","b","c","d","e"}, str[4]="1234";
1.136     brouard  8052:   int *dcwave;
                   8053: 
1.164     brouard  8054:   char z[1]="c";
1.136     brouard  8055: 
                   8056:   /*char  *strt;*/
                   8057:   char strtend[80];
1.126     brouard  8058: 
1.164     brouard  8059: 
1.126     brouard  8060: /*   setlocale (LC_ALL, ""); */
                   8061: /*   bindtextdomain (PACKAGE, LOCALEDIR); */
                   8062: /*   textdomain (PACKAGE); */
                   8063: /*   setlocale (LC_CTYPE, ""); */
                   8064: /*   setlocale (LC_MESSAGES, ""); */
                   8065: 
                   8066:   /*   gettimeofday(&start_time, (struct timezone*)0); */ /* at first time */
1.157     brouard  8067:   rstart_time = time(NULL);  
                   8068:   /*  (void) gettimeofday(&start_time,&tzp);*/
                   8069:   start_time = *localtime(&rstart_time);
1.126     brouard  8070:   curr_time=start_time;
1.157     brouard  8071:   /*tml = *localtime(&start_time.tm_sec);*/
                   8072:   /* strcpy(strstart,asctime(&tml)); */
                   8073:   strcpy(strstart,asctime(&start_time));
1.126     brouard  8074: 
                   8075: /*  printf("Localtime (at start)=%s",strstart); */
1.157     brouard  8076: /*  tp.tm_sec = tp.tm_sec +86400; */
                   8077: /*  tm = *localtime(&start_time.tm_sec); */
1.126     brouard  8078: /*   tmg.tm_year=tmg.tm_year +dsign*dyear; */
                   8079: /*   tmg.tm_mon=tmg.tm_mon +dsign*dmonth; */
                   8080: /*   tmg.tm_hour=tmg.tm_hour + 1; */
1.157     brouard  8081: /*   tp.tm_sec = mktime(&tmg); */
1.126     brouard  8082: /*   strt=asctime(&tmg); */
                   8083: /*   printf("Time(after) =%s",strstart);  */
                   8084: /*  (void) time (&time_value);
                   8085: *  printf("time=%d,t-=%d\n",time_value,time_value-86400);
                   8086: *  tm = *localtime(&time_value);
                   8087: *  strstart=asctime(&tm);
                   8088: *  printf("tim_value=%d,asctime=%s\n",time_value,strstart); 
                   8089: */
                   8090: 
                   8091:   nberr=0; /* Number of errors and warnings */
                   8092:   nbwarn=0;
1.184     brouard  8093: #ifdef WIN32
                   8094:   _getcwd(pathcd, size);
                   8095: #else
1.126     brouard  8096:   getcwd(pathcd, size);
1.184     brouard  8097: #endif
1.191     brouard  8098:   syscompilerinfo(0);
1.196     brouard  8099:   printf("\nIMaCh version %s, %s\n%s",version, copyright, fullversion);
1.126     brouard  8100:   if(argc <=1){
                   8101:     printf("\nEnter the parameter file name: ");
1.205     brouard  8102:     if(!fgets(pathr,FILENAMELENGTH,stdin)){
                   8103:       printf("ERROR Empty parameter file name\n");
                   8104:       goto end;
                   8105:     }
1.126     brouard  8106:     i=strlen(pathr);
                   8107:     if(pathr[i-1]=='\n')
                   8108:       pathr[i-1]='\0';
1.156     brouard  8109:     i=strlen(pathr);
1.205     brouard  8110:     if(i >= 1 && pathr[i-1]==' ') {/* This may happen when dragging on oS/X! */
1.156     brouard  8111:       pathr[i-1]='\0';
1.205     brouard  8112:     }
                   8113:     i=strlen(pathr);
                   8114:     if( i==0 ){
                   8115:       printf("ERROR Empty parameter file name\n");
                   8116:       goto end;
                   8117:     }
                   8118:     for (tok = pathr; tok != NULL; ){
1.126     brouard  8119:       printf("Pathr |%s|\n",pathr);
                   8120:       while ((val = strsep(&tok, "\"" )) != NULL && *val == '\0');
                   8121:       printf("val= |%s| pathr=%s\n",val,pathr);
                   8122:       strcpy (pathtot, val);
                   8123:       if(pathr[0] == '\0') break; /* Dirty */
                   8124:     }
                   8125:   }
                   8126:   else{
                   8127:     strcpy(pathtot,argv[1]);
                   8128:   }
                   8129:   /*if(getcwd(pathcd, MAXLINE)!= NULL)printf ("Error pathcd\n");*/
                   8130:   /*cygwin_split_path(pathtot,path,optionfile);
                   8131:     printf("pathtot=%s, path=%s, optionfile=%s\n",pathtot,path,optionfile);*/
                   8132:   /* cutv(path,optionfile,pathtot,'\\');*/
                   8133: 
                   8134:   /* Split argv[0], imach program to get pathimach */
                   8135:   printf("\nargv[0]=%s argv[1]=%s, \n",argv[0],argv[1]);
                   8136:   split(argv[0],pathimach,optionfile,optionfilext,optionfilefiname);
                   8137:   printf("\nargv[0]=%s pathimach=%s, \noptionfile=%s \noptionfilext=%s \noptionfilefiname=%s\n",argv[0],pathimach,optionfile,optionfilext,optionfilefiname);
                   8138:  /*   strcpy(pathimach,argv[0]); */
                   8139:   /* Split argv[1]=pathtot, parameter file name to get path, optionfile, extension and name */
                   8140:   split(pathtot,path,optionfile,optionfilext,optionfilefiname);
                   8141:   printf("\npathtot=%s,\npath=%s,\noptionfile=%s \noptionfilext=%s \noptionfilefiname=%s\n",pathtot,path,optionfile,optionfilext,optionfilefiname);
1.184     brouard  8142: #ifdef WIN32
                   8143:   _chdir(path); /* Can be a relative path */
                   8144:   if(_getcwd(pathcd,MAXLINE) > 0) /* So pathcd is the full path */
                   8145: #else
1.126     brouard  8146:   chdir(path); /* Can be a relative path */
1.184     brouard  8147:   if (getcwd(pathcd, MAXLINE) > 0) /* So pathcd is the full path */
                   8148: #endif
                   8149:   printf("Current directory %s!\n",pathcd);
1.126     brouard  8150:   strcpy(command,"mkdir ");
                   8151:   strcat(command,optionfilefiname);
                   8152:   if((outcmd=system(command)) != 0){
1.169     brouard  8153:     printf("Directory already exists (or can't create it) %s%s, err=%d\n",path,optionfilefiname,outcmd);
1.126     brouard  8154:     /* fprintf(ficlog,"Problem creating directory %s%s\n",path,optionfilefiname); */
                   8155:     /* fclose(ficlog); */
                   8156: /*     exit(1); */
                   8157:   }
                   8158: /*   if((imk=mkdir(optionfilefiname))<0){ */
                   8159: /*     perror("mkdir"); */
                   8160: /*   } */
                   8161: 
                   8162:   /*-------- arguments in the command line --------*/
                   8163: 
1.186     brouard  8164:   /* Main Log file */
1.126     brouard  8165:   strcat(filelog, optionfilefiname);
                   8166:   strcat(filelog,".log");    /* */
                   8167:   if((ficlog=fopen(filelog,"w"))==NULL)    {
                   8168:     printf("Problem with logfile %s\n",filelog);
                   8169:     goto end;
                   8170:   }
                   8171:   fprintf(ficlog,"Log filename:%s\n",filelog);
1.197     brouard  8172:   fprintf(ficlog,"Version %s %s",version,fullversion);
1.126     brouard  8173:   fprintf(ficlog,"\nEnter the parameter file name: \n");
                   8174:   fprintf(ficlog,"pathimach=%s\npathtot=%s\n\
                   8175:  path=%s \n\
                   8176:  optionfile=%s\n\
                   8177:  optionfilext=%s\n\
1.156     brouard  8178:  optionfilefiname='%s'\n",pathimach,pathtot,path,optionfile,optionfilext,optionfilefiname);
1.126     brouard  8179: 
1.197     brouard  8180:   syscompilerinfo(1);
1.167     brouard  8181: 
1.126     brouard  8182:   printf("Local time (at start):%s",strstart);
                   8183:   fprintf(ficlog,"Local time (at start): %s",strstart);
                   8184:   fflush(ficlog);
                   8185: /*   (void) gettimeofday(&curr_time,&tzp); */
1.157     brouard  8186: /*   printf("Elapsed time %d\n", asc_diff_time(curr_time.tm_sec-start_time.tm_sec,tmpout)); */
1.126     brouard  8187: 
                   8188:   /* */
                   8189:   strcpy(fileres,"r");
                   8190:   strcat(fileres, optionfilefiname);
1.201     brouard  8191:   strcat(fileresu, optionfilefiname); /* Without r in front */
1.126     brouard  8192:   strcat(fileres,".txt");    /* Other files have txt extension */
1.201     brouard  8193:   strcat(fileresu,".txt");    /* Other files have txt extension */
1.126     brouard  8194: 
1.186     brouard  8195:   /* Main ---------arguments file --------*/
1.126     brouard  8196: 
                   8197:   if((ficpar=fopen(optionfile,"r"))==NULL)    {
1.155     brouard  8198:     printf("Problem with optionfile '%s' with errno='%s'\n",optionfile,strerror(errno));
                   8199:     fprintf(ficlog,"Problem with optionfile '%s' with errno='%s'\n",optionfile,strerror(errno));
1.126     brouard  8200:     fflush(ficlog);
1.149     brouard  8201:     /* goto end; */
                   8202:     exit(70); 
1.126     brouard  8203:   }
                   8204: 
                   8205: 
                   8206: 
                   8207:   strcpy(filereso,"o");
1.201     brouard  8208:   strcat(filereso,fileresu);
1.126     brouard  8209:   if((ficparo=fopen(filereso,"w"))==NULL) { /* opened on subdirectory */
                   8210:     printf("Problem with Output resultfile: %s\n", filereso);
                   8211:     fprintf(ficlog,"Problem with Output resultfile: %s\n", filereso);
                   8212:     fflush(ficlog);
                   8213:     goto end;
                   8214:   }
                   8215: 
                   8216:   /* Reads comments: lines beginning with '#' */
                   8217:   numlinepar=0;
1.197     brouard  8218: 
                   8219:     /* First parameter line */
                   8220:   while(fgets(line, MAXLINE, ficpar)) {
                   8221:     /* If line starts with a # it is a comment */
                   8222:     if (line[0] == '#') {
                   8223:       numlinepar++;
                   8224:       fputs(line,stdout);
                   8225:       fputs(line,ficparo);
                   8226:       fputs(line,ficlog);
                   8227:       continue;
                   8228:     }else
                   8229:       break;
                   8230:   }
                   8231:   if((num_filled=sscanf(line,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", \
                   8232:                        title, datafile, &lastobs, &firstpass,&lastpass)) !=EOF){
                   8233:     if (num_filled != 5) {
                   8234:       printf("Should be 5 parameters\n");
                   8235:     }
1.126     brouard  8236:     numlinepar++;
1.197     brouard  8237:     printf("title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", title, datafile, lastobs, firstpass,lastpass);
                   8238:   }
                   8239:   /* Second parameter line */
                   8240:   while(fgets(line, MAXLINE, ficpar)) {
                   8241:     /* If line starts with a # it is a comment */
                   8242:     if (line[0] == '#') {
                   8243:       numlinepar++;
                   8244:       fputs(line,stdout);
                   8245:       fputs(line,ficparo);
                   8246:       fputs(line,ficlog);
                   8247:       continue;
                   8248:     }else
                   8249:       break;
                   8250:   }
                   8251:   if((num_filled=sscanf(line,"ftol=%lf stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\n", \
                   8252:                        &ftol, &stepm, &ncovcol, &nlstate, &ndeath, &maxwav, &mle, &weightopt)) !=EOF){
                   8253:     if (num_filled != 8) {
1.209     brouard  8254:       printf("Not 8 parameters, for example:ftol=1.e-8 stepm=12 ncovcol=2 nlstate=2 ndeath=1 maxwav=3 mle=1 weight=1\n");
                   8255:       printf("but line=%s\n",line);
1.197     brouard  8256:     }
                   8257:     printf("ftol=%e stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\n",ftol, stepm, ncovcol, nlstate,ndeath, maxwav, mle, weightopt);
1.126     brouard  8258:   }
1.203     brouard  8259:   /* ftolpl=6*ftol*1.e5; /\* 6.e-3 make convergences in less than 80 loops for the prevalence limit *\/ */
1.209     brouard  8260:   /*ftolpl=6.e-4; *//* 6.e-3 make convergences in less than 80 loops for the prevalence limit */
1.197     brouard  8261:   /* Third parameter line */
                   8262:   while(fgets(line, MAXLINE, ficpar)) {
                   8263:     /* If line starts with a # it is a comment */
                   8264:     if (line[0] == '#') {
                   8265:       numlinepar++;
                   8266:       fputs(line,stdout);
                   8267:       fputs(line,ficparo);
                   8268:       fputs(line,ficlog);
                   8269:       continue;
                   8270:     }else
                   8271:       break;
                   8272:   }
1.201     brouard  8273:   if((num_filled=sscanf(line,"model=1+age%[^.\n]", model)) !=EOF){
                   8274:     if (num_filled == 0)
                   8275:             model[0]='\0';
                   8276:     else if (num_filled != 1){
1.197     brouard  8277:       printf("ERROR %d: Model should be at minimum 'model=1+age.' %s\n",num_filled, line);
                   8278:       fprintf(ficlog,"ERROR %d: Model should be at minimum 'model=1+age.' %s\n",num_filled, line);
                   8279:       model[0]='\0';
                   8280:       goto end;
                   8281:     }
                   8282:     else{
                   8283:       if (model[0]=='+'){
                   8284:        for(i=1; i<=strlen(model);i++)
                   8285:          modeltemp[i-1]=model[i];
1.201     brouard  8286:        strcpy(model,modeltemp); 
1.197     brouard  8287:       }
                   8288:     }
1.199     brouard  8289:     /* printf(" model=1+age%s modeltemp= %s, model=%s\n",model, modeltemp, model);fflush(stdout); */
1.203     brouard  8290:     printf("model=1+age+%s\n",model);fflush(stdout);
1.197     brouard  8291:   }
                   8292:   /* fscanf(ficpar,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%lf stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d model=1+age+%s\n",title, datafile, &lastobs, &firstpass,&lastpass,&ftol, &stepm, &ncovcol, &nlstate,&ndeath, &maxwav, &mle, &weightopt,model); */
                   8293:   /* numlinepar=numlinepar+3; /\* In general *\/ */
                   8294:   /* printf("title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\nmodel=1+age+%s\n", title, datafile, lastobs, firstpass,lastpass,ftol, stepm, ncovcol, nlstate,ndeath, maxwav, mle, weightopt,model); */
1.203     brouard  8295:   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=1+age+%s.\n", title, datafile, lastobs, firstpass,lastpass,ftol,stepm,ncovcol,nlstate,ndeath,maxwav, mle, weightopt,model);
                   8296:   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=1+age+%s.\n", title, datafile, lastobs, firstpass,lastpass,ftol,stepm,ncovcol,nlstate,ndeath,maxwav, mle, weightopt,model);
1.126     brouard  8297:   fflush(ficlog);
1.190     brouard  8298:   /* if(model[0]=='#'|| model[0]== '\0'){ */
                   8299:   if(model[0]=='#'){
1.187     brouard  8300:     printf("Error in 'model' line: model should start with 'model=1+age+' and end with '.' \n \
                   8301:  'model=1+age+.' or 'model=1+age+V1.' or 'model=1+age+age*age+V1+V1*age.' or \n \
                   8302:  'model=1+age+V1+V2.' or 'model=1+age+V1+V2+V1*V2.' etc. \n");         \
                   8303:     if(mle != -1){
                   8304:       printf("Fix the model line and run imach with mle=-1 to get a correct template of the parameter file.\n");
                   8305:       exit(1);
                   8306:     }
                   8307:   }
1.126     brouard  8308:   while((c=getc(ficpar))=='#' && c!= EOF){
                   8309:     ungetc(c,ficpar);
                   8310:     fgets(line, MAXLINE, ficpar);
                   8311:     numlinepar++;
1.195     brouard  8312:     if(line[1]=='q'){ /* This #q will quit imach (the answer is q) */
                   8313:       z[0]=line[1];
                   8314:     }
                   8315:     /* printf("****line [1] = %c \n",line[1]); */
1.141     brouard  8316:     fputs(line, stdout);
                   8317:     //puts(line);
1.126     brouard  8318:     fputs(line,ficparo);
                   8319:     fputs(line,ficlog);
                   8320:   }
                   8321:   ungetc(c,ficpar);
                   8322: 
                   8323:    
1.145     brouard  8324:   covar=matrix(0,NCOVMAX,1,n);  /**< used in readdata */
1.136     brouard  8325:   cptcovn=0; /*Number of covariates, i.e. number of '+' in model statement plus one, indepently of n in Vn*/
                   8326:   /* v1+v2+v3+v2*v4+v5*age makes cptcovn = 5
                   8327:      v1+v2*age+v2*v3 makes cptcovn = 3
                   8328:   */
                   8329:   if (strlen(model)>1) 
1.187     brouard  8330:     ncovmodel=2+nbocc(model,'+')+1; /*Number of variables including intercept and age = cptcovn + intercept + age : v1+v2+v3+v2*v4+v5*age makes 5+2=7,age*age makes 3*/
1.145     brouard  8331:   else
1.187     brouard  8332:     ncovmodel=2; /* Constant and age */
1.133     brouard  8333:   nforce= (nlstate+ndeath-1)*nlstate; /* Number of forces ij from state i to j */
                   8334:   npar= nforce*ncovmodel; /* Number of parameters like aij*/
1.131     brouard  8335:   if(npar >MAXPARM || nlstate >NLSTATEMAX || ndeath >NDEATHMAX || ncovmodel>NCOVMAX){
                   8336:     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);
                   8337:     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);
                   8338:     fflush(stdout);
                   8339:     fclose (ficlog);
                   8340:     goto end;
                   8341:   }
1.126     brouard  8342:   delti3= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
                   8343:   delti=delti3[1][1];
                   8344:   /*delti=vector(1,npar); *//* Scale of each paramater (output from hesscov)*/
                   8345:   if(mle==-1){ /* Print a wizard for help writing covariance matrix */
                   8346:     prwizard(ncovmodel, nlstate, ndeath, model, ficparo);
1.191     brouard  8347:     printf(" You chose mle=-1, look at file %s for a template of covariance matrix \n",filereso);
                   8348:     fprintf(ficlog," You chose mle=-1, look at file %s for a template of covariance matrix \n",filereso);
1.126     brouard  8349:     free_ma3x(delti3,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel); 
                   8350:     fclose (ficparo);
                   8351:     fclose (ficlog);
                   8352:     goto end;
                   8353:     exit(0);
                   8354:   }
1.186     brouard  8355:   else if(mle==-3) { /* Main Wizard */
1.126     brouard  8356:     prwizard(ncovmodel, nlstate, ndeath, model, ficparo);
1.192     brouard  8357:     printf(" You chose mle=-3, look at file %s for a template of covariance matrix \n",filereso);
                   8358:     fprintf(ficlog," You chose mle=-3, look at file %s for a template of covariance matrix \n",filereso);
1.126     brouard  8359:     param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
                   8360:     matcov=matrix(1,npar,1,npar);
1.203     brouard  8361:     hess=matrix(1,npar,1,npar);
1.126     brouard  8362:   }
                   8363:   else{
1.145     brouard  8364:     /* Read guessed parameters */
1.126     brouard  8365:     /* Reads comments: lines beginning with '#' */
                   8366:     while((c=getc(ficpar))=='#' && c!= EOF){
                   8367:       ungetc(c,ficpar);
                   8368:       fgets(line, MAXLINE, ficpar);
                   8369:       numlinepar++;
1.141     brouard  8370:       fputs(line,stdout);
1.126     brouard  8371:       fputs(line,ficparo);
                   8372:       fputs(line,ficlog);
                   8373:     }
                   8374:     ungetc(c,ficpar);
                   8375:     
                   8376:     param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
                   8377:     for(i=1; i <=nlstate; i++){
                   8378:       j=0;
                   8379:       for(jj=1; jj <=nlstate+ndeath; jj++){
                   8380:        if(jj==i) continue;
                   8381:        j++;
                   8382:        fscanf(ficpar,"%1d%1d",&i1,&j1);
1.193     brouard  8383:        if ((i1 != i) || (j1 != jj)){
1.126     brouard  8384:          printf("Error in line parameters number %d, %1d%1d instead of %1d%1d \n \
                   8385: It might be a problem of design; if ncovcol and the model are correct\n \
                   8386: run imach with mle=-1 to get a correct template of the parameter file.\n",numlinepar, i,j, i1, j1);
                   8387:          exit(1);
                   8388:        }
                   8389:        fprintf(ficparo,"%1d%1d",i1,j1);
                   8390:        if(mle==1)
1.193     brouard  8391:          printf("%1d%1d",i,jj);
                   8392:        fprintf(ficlog,"%1d%1d",i,jj);
1.126     brouard  8393:        for(k=1; k<=ncovmodel;k++){
                   8394:          fscanf(ficpar," %lf",&param[i][j][k]);
                   8395:          if(mle==1){
                   8396:            printf(" %lf",param[i][j][k]);
                   8397:            fprintf(ficlog," %lf",param[i][j][k]);
                   8398:          }
                   8399:          else
                   8400:            fprintf(ficlog," %lf",param[i][j][k]);
                   8401:          fprintf(ficparo," %lf",param[i][j][k]);
                   8402:        }
                   8403:        fscanf(ficpar,"\n");
                   8404:        numlinepar++;
                   8405:        if(mle==1)
                   8406:          printf("\n");
                   8407:        fprintf(ficlog,"\n");
                   8408:        fprintf(ficparo,"\n");
                   8409:       }
                   8410:     }  
                   8411:     fflush(ficlog);
                   8412: 
1.145     brouard  8413:     /* Reads scales values */
1.126     brouard  8414:     p=param[1][1];
                   8415:     
                   8416:     /* Reads comments: lines beginning with '#' */
                   8417:     while((c=getc(ficpar))=='#' && c!= EOF){
                   8418:       ungetc(c,ficpar);
                   8419:       fgets(line, MAXLINE, ficpar);
                   8420:       numlinepar++;
1.141     brouard  8421:       fputs(line,stdout);
1.126     brouard  8422:       fputs(line,ficparo);
                   8423:       fputs(line,ficlog);
                   8424:     }
                   8425:     ungetc(c,ficpar);
                   8426: 
                   8427:     for(i=1; i <=nlstate; i++){
                   8428:       for(j=1; j <=nlstate+ndeath-1; j++){
                   8429:        fscanf(ficpar,"%1d%1d",&i1,&j1);
1.164     brouard  8430:        if ( (i1-i) * (j1-j) != 0){
1.126     brouard  8431:          printf("Error in line parameters number %d, %1d%1d instead of %1d%1d \n",numlinepar, i,j, i1, j1);
                   8432:          exit(1);
                   8433:        }
                   8434:        printf("%1d%1d",i,j);
                   8435:        fprintf(ficparo,"%1d%1d",i1,j1);
                   8436:        fprintf(ficlog,"%1d%1d",i1,j1);
                   8437:        for(k=1; k<=ncovmodel;k++){
                   8438:          fscanf(ficpar,"%le",&delti3[i][j][k]);
                   8439:          printf(" %le",delti3[i][j][k]);
                   8440:          fprintf(ficparo," %le",delti3[i][j][k]);
                   8441:          fprintf(ficlog," %le",delti3[i][j][k]);
                   8442:        }
                   8443:        fscanf(ficpar,"\n");
                   8444:        numlinepar++;
                   8445:        printf("\n");
                   8446:        fprintf(ficparo,"\n");
                   8447:        fprintf(ficlog,"\n");
                   8448:       }
                   8449:     }
                   8450:     fflush(ficlog);
                   8451: 
1.145     brouard  8452:     /* Reads covariance matrix */
1.126     brouard  8453:     delti=delti3[1][1];
                   8454: 
                   8455: 
                   8456:     /* free_ma3x(delti3,1,nlstate,1,nlstate+ndeath-1,1,ncovmodel); */ /* Hasn't to to freed here otherwise delti is no more allocated */
                   8457:   
                   8458:     /* Reads comments: lines beginning with '#' */
                   8459:     while((c=getc(ficpar))=='#' && c!= EOF){
                   8460:       ungetc(c,ficpar);
                   8461:       fgets(line, MAXLINE, ficpar);
                   8462:       numlinepar++;
1.141     brouard  8463:       fputs(line,stdout);
1.126     brouard  8464:       fputs(line,ficparo);
                   8465:       fputs(line,ficlog);
                   8466:     }
                   8467:     ungetc(c,ficpar);
                   8468:   
                   8469:     matcov=matrix(1,npar,1,npar);
1.203     brouard  8470:     hess=matrix(1,npar,1,npar);
1.131     brouard  8471:     for(i=1; i <=npar; i++)
                   8472:       for(j=1; j <=npar; j++) matcov[i][j]=0.;
                   8473:       
1.194     brouard  8474:     /* Scans npar lines */
1.126     brouard  8475:     for(i=1; i <=npar; i++){
1.194     brouard  8476:       count=fscanf(ficpar,"%1d%1d%1d",&i1,&j1,&jk);
                   8477:       if(count != 3){
                   8478:        printf("Error! Error in parameter file %s at line %d after line starting with %1d%1d%1d\n\
                   8479: This is probably because your covariance matrix doesn't \n  contain exactly %d lines corresponding to your model line '1+age+%s'.\n\
                   8480: Please run with mle=-1 to get a correct covariance matrix.\n",optionfile,numlinepar, i1,j1,jk, npar, model);
                   8481:        fprintf(ficlog,"Error! Error in parameter file %s at line %d after line starting with %1d%1d%1d\n\
                   8482: This is probably because your covariance matrix doesn't \n  contain exactly %d lines corresponding to your model line '1+age+%s'.\n\
                   8483: Please run with mle=-1 to get a correct covariance matrix.\n",optionfile,numlinepar, i1,j1,jk, npar, model);
                   8484:        exit(1);
                   8485:       }else
1.218   ! brouard  8486:        if(mle==1)
        !          8487:          printf("%1d%1d%1d",i1,j1,jk);
1.194     brouard  8488:       fprintf(ficlog,"%1d%1d%1d",i1,j1,jk);
                   8489:       fprintf(ficparo,"%1d%1d%1d",i1,j1,jk);
1.126     brouard  8490:       for(j=1; j <=i; j++){
                   8491:        fscanf(ficpar," %le",&matcov[i][j]);
                   8492:        if(mle==1){
                   8493:          printf(" %.5le",matcov[i][j]);
                   8494:        }
                   8495:        fprintf(ficlog," %.5le",matcov[i][j]);
                   8496:        fprintf(ficparo," %.5le",matcov[i][j]);
                   8497:       }
                   8498:       fscanf(ficpar,"\n");
                   8499:       numlinepar++;
                   8500:       if(mle==1)
                   8501:        printf("\n");
                   8502:       fprintf(ficlog,"\n");
                   8503:       fprintf(ficparo,"\n");
                   8504:     }
1.194     brouard  8505:     /* End of read covariance matrix npar lines */
1.126     brouard  8506:     for(i=1; i <=npar; i++)
                   8507:       for(j=i+1;j<=npar;j++)
                   8508:        matcov[i][j]=matcov[j][i];
                   8509:     
                   8510:     if(mle==1)
                   8511:       printf("\n");
                   8512:     fprintf(ficlog,"\n");
                   8513:     
                   8514:     fflush(ficlog);
                   8515:     
                   8516:     /*-------- Rewriting parameter file ----------*/
                   8517:     strcpy(rfileres,"r");    /* "Rparameterfile */
                   8518:     strcat(rfileres,optionfilefiname);    /* Parameter file first name*/
                   8519:     strcat(rfileres,".");    /* */
                   8520:     strcat(rfileres,optionfilext);    /* Other files have txt extension */
                   8521:     if((ficres =fopen(rfileres,"w"))==NULL) {
1.201     brouard  8522:       printf("Problem writing new parameter file: %s\n", rfileres);goto end;
                   8523:       fprintf(ficlog,"Problem writing new parameter file: %s\n", rfileres);goto end;
1.126     brouard  8524:     }
                   8525:     fprintf(ficres,"#%s\n",version);
                   8526:   }    /* End of mle != -3 */
1.218   ! brouard  8527:   
1.186     brouard  8528:   /*  Main data
                   8529:    */
1.126     brouard  8530:   n= lastobs;
                   8531:   num=lvector(1,n);
                   8532:   moisnais=vector(1,n);
                   8533:   annais=vector(1,n);
                   8534:   moisdc=vector(1,n);
                   8535:   andc=vector(1,n);
                   8536:   agedc=vector(1,n);
                   8537:   cod=ivector(1,n);
                   8538:   weight=vector(1,n);
                   8539:   for(i=1;i<=n;i++) weight[i]=1.0; /* Equal weights, 1 by default */
                   8540:   mint=matrix(1,maxwav,1,n);
                   8541:   anint=matrix(1,maxwav,1,n);
1.131     brouard  8542:   s=imatrix(1,maxwav+1,1,n); /* s[i][j] health state for wave i and individual j */ 
1.126     brouard  8543:   tab=ivector(1,NCOVMAX);
1.144     brouard  8544:   ncodemax=ivector(1,NCOVMAX); /* Number of code per covariate; if O and 1 only, 2**ncov; V1+V2+V3+V4=>16 */
1.192     brouard  8545:   ncodemaxwundef=ivector(1,NCOVMAX); /* Number of code per covariate; if - 1 O and 1 only, 2**ncov; V1+V2+V3+V4=>16 */
1.126     brouard  8546: 
1.136     brouard  8547:   /* Reads data from file datafile */
                   8548:   if (readdata(datafile, firstobs, lastobs, &imx)==1)
                   8549:     goto end;
                   8550: 
                   8551:   /* Calculation of the number of parameters from char model */
1.137     brouard  8552:     /*    modelsav=V2+V1+V4+age*V3 strb=age*V3 stra=V2+V1+V4 
                   8553:        k=4 (age*V3) Tvar[k=4]= 3 (from V3) Tag[cptcovage=1]=4
                   8554:        k=3 V4 Tvar[k=3]= 4 (from V4)
                   8555:        k=2 V1 Tvar[k=2]= 1 (from V1)
                   8556:        k=1 Tvar[1]=2 (from V2)
                   8557:     */
                   8558:   Tvar=ivector(1,NCOVMAX); /* Was 15 changed to NCOVMAX. */
                   8559:   /*  V2+V1+V4+age*V3 is a model with 4 covariates (3 plus signs). 
                   8560:       For each model-covariate stores the data-covariate id. Tvar[1]=2, Tvar[2]=1, Tvar[3]=4, 
                   8561:       Tvar[4=age*V3] is 3 and 'age' is recorded in Tage.
                   8562:   */
                   8563:   /* For model-covariate k tells which data-covariate to use but
                   8564:     because this model-covariate is a construction we invent a new column
                   8565:     ncovcol + k1
                   8566:     If already ncovcol=4 and model=V2+V1+V1*V4+age*V3
                   8567:     Tvar[3=V1*V4]=4+1 etc */
1.145     brouard  8568:   Tprod=ivector(1,NCOVMAX); /* Gives the position of a product */
1.137     brouard  8569:   /* Tprod[k1=1]=3(=V1*V4) for V2+V1+V1*V4+age*V3
                   8570:      if  V2+V1+V1*V4+age*V3+V3*V2   TProd[k1=2]=5 (V3*V2)
                   8571:   */
1.145     brouard  8572:   Tvaraff=ivector(1,NCOVMAX); /* Unclear */
                   8573:   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
1.141     brouard  8574:                            * For V3*V2 (in V2+V1+V1*V4+age*V3+V3*V2), V3*V2 position is 2nd. 
                   8575:                            * Tvard[k1=2][1]=3 (V3) Tvard[k1=2][2]=2(V2) */
1.145     brouard  8576:   Tage=ivector(1,NCOVMAX); /* Gives the covariate id of covariates associated with age: V2 + V1 + age*V4 + V3*age
1.137     brouard  8577:                         4 covariates (3 plus signs)
                   8578:                         Tage[1=V3*age]= 4; Tage[2=age*V4] = 3
                   8579:                      */  
1.136     brouard  8580: 
1.186     brouard  8581: /* Main decodemodel */
                   8582: 
1.187     brouard  8583: 
1.136     brouard  8584:   if(decodemodel(model, lastobs) == 1)
                   8585:     goto end;
                   8586: 
1.137     brouard  8587:   if((double)(lastobs-imx)/(double)imx > 1.10){
                   8588:     nbwarn++;
                   8589:     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); 
                   8590:     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); 
                   8591:   }
1.136     brouard  8592:     /*  if(mle==1){*/
1.137     brouard  8593:   if (weightopt != 1) { /* Maximisation without weights. We can have weights different from 1 but want no weight*/
                   8594:     for(i=1;i<=imx;i++) weight[i]=1.0; /* changed to imx */
1.136     brouard  8595:   }
                   8596: 
                   8597:     /*-calculation of age at interview from date of interview and age at death -*/
                   8598:   agev=matrix(1,maxwav,1,imx);
                   8599: 
                   8600:   if(calandcheckages(imx, maxwav, &agemin, &agemax, &nberr, &nbwarn) == 1)
                   8601:     goto end;
                   8602: 
1.126     brouard  8603: 
1.136     brouard  8604:   agegomp=(int)agemin;
                   8605:   free_vector(moisnais,1,n);
                   8606:   free_vector(annais,1,n);
1.126     brouard  8607:   /* free_matrix(mint,1,maxwav,1,n);
                   8608:      free_matrix(anint,1,maxwav,1,n);*/
1.215     brouard  8609:   /* free_vector(moisdc,1,n); */
                   8610:   /* free_vector(andc,1,n); */
1.145     brouard  8611:   /* */
                   8612:   
1.126     brouard  8613:   wav=ivector(1,imx);
1.214     brouard  8614:   /* dh=imatrix(1,lastpass-firstpass+1,1,imx); */
                   8615:   /* bh=imatrix(1,lastpass-firstpass+1,1,imx); */
                   8616:   /* mw=imatrix(1,lastpass-firstpass+1,1,imx); */
                   8617:   dh=imatrix(1,lastpass-firstpass+2,1,imx); /* We are adding a wave if status is unknown at last wave but death occurs after last wave.*/
                   8618:   bh=imatrix(1,lastpass-firstpass+2,1,imx);
                   8619:   mw=imatrix(1,lastpass-firstpass+2,1,imx);
1.126     brouard  8620:    
                   8621:   /* Concatenates waves */
1.214     brouard  8622:   /* Concatenates waves: wav[i] is the number of effective (useful waves) of individual i.
                   8623:      Death is a valid wave (if date is known).
                   8624:      mw[mi][i] is the number of (mi=1 to wav[i]) effective wave out of mi of individual i
                   8625:      dh[m][i] or dh[mw[mi][i]][i] is the delay between two effective waves m=mw[mi][i]
                   8626:      and mw[mi+1][i]. dh depends on stepm.
                   8627:   */
                   8628: 
1.126     brouard  8629:   concatwav(wav, dh, bh, mw, s, agedc, agev,  firstpass, lastpass, imx, nlstate, stepm);
1.145     brouard  8630:   /* */
                   8631:  
1.215     brouard  8632:   free_vector(moisdc,1,n);
                   8633:   free_vector(andc,1,n);
                   8634: 
1.126     brouard  8635:   /* Routine tricode is to calculate cptcoveff (real number of unique covariates) and to associate covariable number and modality */
                   8636: 
                   8637:   nbcode=imatrix(0,NCOVMAX,0,NCOVMAX); 
                   8638:   ncodemax[1]=1;
1.145     brouard  8639:   Ndum =ivector(-1,NCOVMAX);  
1.187     brouard  8640:   if (ncovmodel-nagesqr > 2 ) /* That is if covariate other than cst, age and age*age */
1.145     brouard  8641:     tricode(Tvar,nbcode,imx, Ndum); /**< Fills nbcode[Tvar[j]][l]; */
1.211     brouard  8642:   /* Nbcode gives the value of the lth modality (currently 1 to 2) of jth covariate, in
1.186     brouard  8643:      V2+V1*age, there are 3 covariates Tvar[2]=1 (V1).*/
1.211     brouard  8644:   /* 1 to ncodemax[j] which is the maximum value of this jth covariate */
1.145     brouard  8645: 
1.200     brouard  8646:   /*  codtab=imatrix(1,100,1,10);*/ /* codtab[h,k]=( (h-1) - mod(k-1,2**(k-1) )/2**(k-1) */
1.198     brouard  8647:   /*printf(" codtab[1,1],codtab[100,10]=%d,%d\n", codtab[1][1],codtabm(100,10));*/
1.186     brouard  8648:   /* codtab gives the value 1 or 2 of the hth combination of k covariates (1 or 2).*/
1.211     brouard  8649:   /* nbcode[Tvaraff[j]][codtabm(h,j)]) : if there are only 2 modalities for a covariate j, 
                   8650:    * codtabm(h,j) gives its value classified at position h and nbcode gives how it is coded 
                   8651:    * (currently 0 or 1) in the data.
                   8652:    * In a loop on h=1 to 2**k, and a loop on j (=1 to k), we get the value of 
                   8653:    * corresponding modality (h,j).
                   8654:    */
                   8655: 
1.145     brouard  8656:   h=0;
                   8657: 
                   8658: 
                   8659:   /*if (cptcovn > 0) */
1.126     brouard  8660:       
1.145     brouard  8661:  
1.126     brouard  8662:   m=pow(2,cptcoveff);
                   8663:  
1.144     brouard  8664:          /**< codtab(h,k)  k   = codtab[h,k]=( (h-1) - mod(k-1,2**(k-1) )/2**(k-1) + 1
1.211     brouard  8665:           * For k=4 covariates, h goes from 1 to m=2**k
                   8666:           * codtabm(h,k)=  (1 & (h-1) >> (k-1)) + 1;
                   8667:            * #define codtabm(h,k)  (1 & (h-1) >> (k-1))+1
1.186     brouard  8668:           *     h\k   1     2     3     4
1.143     brouard  8669:           *______________________________  
                   8670:           *     1 i=1 1 i=1 1 i=1 1 i=1 1
                   8671:           *     2     2     1     1     1
                   8672:           *     3 i=2 1     2     1     1
                   8673:           *     4     2     2     1     1
                   8674:           *     5 i=3 1 i=2 1     2     1
                   8675:           *     6     2     1     2     1
                   8676:           *     7 i=4 1     2     2     1
                   8677:           *     8     2     2     2     1
1.197     brouard  8678:           *     9 i=5 1 i=3 1 i=2 1     2
                   8679:           *    10     2     1     1     2
                   8680:           *    11 i=6 1     2     1     2
                   8681:           *    12     2     2     1     2
                   8682:           *    13 i=7 1 i=4 1     2     2    
                   8683:           *    14     2     1     2     2
                   8684:           *    15 i=8 1     2     2     2
                   8685:           *    16     2     2     2     2
1.143     brouard  8686:           */
1.212     brouard  8687:   /* How to do the opposite? From combination h (=1 to 2**k) how to get the value on the covariates? */
1.211     brouard  8688:      /* from h=5 and m, we get then number of covariates k=log(m)/log(2)=4
                   8689:      * and the value of each covariate?
                   8690:      * V1=1, V2=1, V3=2, V4=1 ?
                   8691:      * h-1=4 and 4 is 0100 or reverse 0010, and +1 is 1121 ok.
                   8692:      * h=6, 6-1=5, 5 is 0101, 1010, 2121, V1=2nd, V2=1st, V3=2nd, V4=1st.
                   8693:      * In order to get the real value in the data, we use nbcode
                   8694:      * nbcode[Tvar[3][2nd]]=1 and nbcode[Tvar[4][1]]=0
                   8695:      * We are keeping this crazy system in order to be able (in the future?) 
                   8696:      * to have more than 2 values (0 or 1) for a covariate.
                   8697:      * #define codtabm(h,k)  (1 & (h-1) >> (k-1))+1
                   8698:      * h=6, k=2? h-1=5=0101, reverse 1010, +1=2121, k=2nd position: value is 1: codtabm(6,2)=1
                   8699:      *              bbbbbbbb
                   8700:      *              76543210     
                   8701:      *   h-1        00000101 (6-1=5)
                   8702:      *(h-1)>>(k-1)= 00000001 >> (2-1) = 1 right shift
                   8703:      *           &
                   8704:      *     1        00000001 (1)
                   8705:      *              00000001        = 1 & ((h-1) >> (k-1))
                   8706:      *          +1= 00000010 =2 
                   8707:      *
                   8708:      * h=14, k=3 => h'=h-1=13, k'=k-1=2
                   8709:      *          h'      1101 =2^3+2^2+0x2^1+2^0
                   8710:      *    >>k'            11
                   8711:      *          &   00000001
                   8712:      *            = 00000001
                   8713:      *      +1    = 00000010=2    =  codtabm(14,3)   
                   8714:      * Reverse h=6 and m=16?
                   8715:      * cptcoveff=log(16)/log(2)=4 covariate: 6-1=5=0101 reversed=1010 +1=2121 =>V1=2, V2=1, V3=2, V4=1.
                   8716:      * for (j=1 to cptcoveff) Vj=decodtabm(j,h,cptcoveff)
                   8717:      * decodtabm(h,j,cptcoveff)= (((h-1) >> (j-1)) & 1) +1 
                   8718:      * decodtabm(h,j,cptcoveff)= (h <= (1<<cptcoveff)?(((h-1) >> (j-1)) & 1) +1 : -1)
                   8719:      * V3=decodtabm(14,3,2**4)=2
                   8720:      *          h'=13   1101 =2^3+2^2+0x2^1+2^0
                   8721:      *(h-1) >> (j-1)    0011 =13 >> 2
                   8722:      *          &1 000000001
                   8723:      *           = 000000001
                   8724:      *         +1= 000000010 =2
                   8725:      *                  2211
                   8726:      *                  V1=1+1, V2=0+1, V3=1+1, V4=1+1
                   8727:      *                  V3=2
                   8728:      */
                   8729: 
1.202     brouard  8730:   /* /\* for(h=1; h <=100 ;h++){  *\/ */
                   8731:   /*   /\* printf("h=%2d ", h); *\/ */
                   8732:   /*    /\* for(k=1; k <=10; k++){ *\/ */
                   8733:   /*      /\* printf("k=%d %d ",k,codtabm(h,k)); *\/ */
                   8734:   /*    /\*   codtab[h][k]=codtabm(h,k); *\/ */
                   8735:   /*    /\* } *\/ */
                   8736:   /*    /\* printf("\n"); *\/ */
                   8737:   /* } */
1.197     brouard  8738:   /* for(k=1;k<=cptcoveff; k++){ /\* scans any effective covariate *\/ */
                   8739:   /*   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 *\/  */
                   8740:   /*     for(j=1; j <= ncodemax[k]; j++){ /\* For each modality of this covariate ncodemax=2*\/ */
                   8741:   /*   for(cpt=1; cpt <=pow(2,k-1); cpt++){  /\* cpt=1 to 8/2**(3+1-1 or 3+1-3) =1 or 4 *\/  */
                   8742:   /*     h++; */
                   8743:   /*     if (h>m)  */
                   8744:   /*       h=1; */
                   8745:   /*     codtab[h][k]=j; */
                   8746:   /*     /\* codtab[12][3]=1; *\/ */
                   8747:   /*     /\*codtab[h][Tvar[k]]=j;*\/ */
                   8748:   /*     /\* 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]]); *\/ */
                   8749:   /*   }  */
                   8750:   /*     } */
                   8751:   /*   } */
                   8752:   /* }  */
1.126     brouard  8753:   /* printf("codtab[1][2]=%d codtab[2][2]=%d",codtab[1][2],codtab[2][2]); 
                   8754:      codtab[1][2]=1;codtab[2][2]=2; */
1.197     brouard  8755:   /* for(i=1; i <=m ;i++){  */
                   8756:   /*    for(k=1; k <=cptcovn; k++){ */
                   8757:   /*      printf("i=%d k=%d %d %d ",i,k,codtab[i][k], cptcoveff); */
                   8758:   /*    } */
                   8759:   /*    printf("\n"); */
                   8760:   /* } */
                   8761:   /*   scanf("%d",i);*/
1.145     brouard  8762: 
                   8763:  free_ivector(Ndum,-1,NCOVMAX);
                   8764: 
                   8765: 
1.126     brouard  8766:     
1.186     brouard  8767:   /* Initialisation of ----------- gnuplot -------------*/
1.126     brouard  8768:   strcpy(optionfilegnuplot,optionfilefiname);
                   8769:   if(mle==-3)
1.201     brouard  8770:     strcat(optionfilegnuplot,"-MORT_");
1.126     brouard  8771:   strcat(optionfilegnuplot,".gp");
                   8772: 
                   8773:   if((ficgp=fopen(optionfilegnuplot,"w"))==NULL) {
                   8774:     printf("Problem with file %s",optionfilegnuplot);
                   8775:   }
                   8776:   else{
1.204     brouard  8777:     fprintf(ficgp,"\n# IMaCh-%s\n", version); 
1.126     brouard  8778:     fprintf(ficgp,"# %s\n", optionfilegnuplot); 
1.141     brouard  8779:     //fprintf(ficgp,"set missing 'NaNq'\n");
                   8780:     fprintf(ficgp,"set datafile missing 'NaNq'\n");
1.126     brouard  8781:   }
                   8782:   /*  fclose(ficgp);*/
1.186     brouard  8783: 
                   8784: 
                   8785:   /* Initialisation of --------- index.htm --------*/
1.126     brouard  8786: 
                   8787:   strcpy(optionfilehtm,optionfilefiname); /* Main html file */
                   8788:   if(mle==-3)
1.201     brouard  8789:     strcat(optionfilehtm,"-MORT_");
1.126     brouard  8790:   strcat(optionfilehtm,".htm");
                   8791:   if((fichtm=fopen(optionfilehtm,"w"))==NULL)    {
1.131     brouard  8792:     printf("Problem with %s \n",optionfilehtm);
                   8793:     exit(0);
1.126     brouard  8794:   }
                   8795: 
                   8796:   strcpy(optionfilehtmcov,optionfilefiname); /* Only for matrix of covariance */
                   8797:   strcat(optionfilehtmcov,"-cov.htm");
                   8798:   if((fichtmcov=fopen(optionfilehtmcov,"w"))==NULL)    {
                   8799:     printf("Problem with %s \n",optionfilehtmcov), exit(0);
                   8800:   }
                   8801:   else{
                   8802:   fprintf(fichtmcov,"<html><head>\n<title>IMaCh Cov %s</title></head>\n <body><font size=\"2\">%s <br> %s</font> \
                   8803: <hr size=\"2\" color=\"#EC5E5E\"> \n\
1.204     brouard  8804: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s<br>\n",\
1.126     brouard  8805:          optionfilehtmcov,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);
                   8806:   }
                   8807: 
1.213     brouard  8808:   fprintf(fichtm,"<html><head>\n<head>\n<meta charset=\"utf-8\"/><meta http-equiv=\"Content-Type\" content=\"text/html; charset=utf-8\" />\n<title>IMaCh %s</title></head>\n <body><font size=\"7\"><a href=http:/euroreves.ined.fr/imach>IMaCh for Interpolated Markov Chain</a> </font><br>\n<font size=\"3\">Sponsored by Copyright (C)  2002-2015 <a href=http://www.ined.fr>INED</a>-EUROREVES-Institut de longévité-2013-2016-Japan Society for the Promotion of Sciences 日本学術振興会 (<a href=https://www.jsps.go.jp/english/e-grants/>Grant-in-Aid for Scientific Research 25293121</a>) - <a href=https://software.intel.com/en-us>Intel Software 2015-2018</a></font><br>  \
1.204     brouard  8809: <hr size=\"2\" color=\"#EC5E5E\"> \n\
                   8810: <font size=\"2\">IMaCh-%s <br> %s</font> \
1.126     brouard  8811: <hr size=\"2\" color=\"#EC5E5E\"> \n\
1.204     brouard  8812: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s<br>\n\
1.126     brouard  8813: \n\
                   8814: <hr  size=\"2\" color=\"#EC5E5E\">\
                   8815:  <ul><li><h4>Parameter files</h4>\n\
                   8816:  - Parameter file: <a href=\"%s.%s\">%s.%s</a><br>\n\
                   8817:  - Copy of the parameter file: <a href=\"o%s\">o%s</a><br>\n\
                   8818:  - Log file of the run: <a href=\"%s\">%s</a><br>\n\
                   8819:  - Gnuplot file name: <a href=\"%s\">%s</a><br>\n\
                   8820:  - Date and time at start: %s</ul>\n",\
                   8821:          optionfilehtm,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model,\
                   8822:          optionfilefiname,optionfilext,optionfilefiname,optionfilext,\
                   8823:          fileres,fileres,\
                   8824:          filelog,filelog,optionfilegnuplot,optionfilegnuplot,strstart);
                   8825:   fflush(fichtm);
                   8826: 
                   8827:   strcpy(pathr,path);
                   8828:   strcat(pathr,optionfilefiname);
1.184     brouard  8829: #ifdef WIN32
                   8830:   _chdir(optionfilefiname); /* Move to directory named optionfile */
                   8831: #else
1.126     brouard  8832:   chdir(optionfilefiname); /* Move to directory named optionfile */
1.184     brouard  8833: #endif
                   8834:          
1.126     brouard  8835:   
                   8836:   /* Calculates basic frequencies. Computes observed prevalence at single age
                   8837:      and prints on file fileres'p'. */
1.214     brouard  8838:   freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint,strstart,\
                   8839:              firstpass, lastpass,  stepm,  weightopt, model);
1.126     brouard  8840: 
                   8841:   fprintf(fichtm,"\n");
                   8842:   fprintf(fichtm,"<br>Total number of observations=%d <br>\n\
                   8843: Youngest age at first (selected) pass %.2f, oldest age %.2f<br>\n\
                   8844: Interval (in months) between two waves: Min=%d Max=%d Mean=%.2lf<br>\n",\
                   8845:          imx,agemin,agemax,jmin,jmax,jmean);
                   8846:   pmmij= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
                   8847:     oldms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
                   8848:     newms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
                   8849:     savms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
                   8850:     oldm=oldms; newm=newms; savm=savms; /* Keeps fixed addresses to free */
1.218   ! brouard  8851: 
1.126     brouard  8852:   /* For Powell, parameters are in a vector p[] starting at p[1]
                   8853:      so we point p on param[1][1] so that p[1] maps on param[1][1][1] */
                   8854:   p=param[1][1]; /* *(*(*(param +1)+1)+0) */
                   8855: 
                   8856:   globpr=0; /* To get the number ipmx of contributions and the sum of weights*/
1.186     brouard  8857:   /* For mortality only */
1.126     brouard  8858:   if (mle==-3){
1.136     brouard  8859:     ximort=matrix(1,NDIM,1,NDIM); 
1.186     brouard  8860:     /*     ximort=gsl_matrix_alloc(1,NDIM,1,NDIM); */
1.126     brouard  8861:     cens=ivector(1,n);
                   8862:     ageexmed=vector(1,n);
                   8863:     agecens=vector(1,n);
                   8864:     dcwave=ivector(1,n);
                   8865:  
                   8866:     for (i=1; i<=imx; i++){
                   8867:       dcwave[i]=-1;
                   8868:       for (m=firstpass; m<=lastpass; m++)
1.218   ! brouard  8869:                                if (s[m][i]>nlstate) {
        !          8870:                                        dcwave[i]=m;
        !          8871:                                        /*      printf("i=%d j=%d s=%d dcwave=%d\n",i,j, s[j][i],dcwave[i]);*/
        !          8872:                                        break;
        !          8873:                                }
1.126     brouard  8874:     }
1.218   ! brouard  8875:                
1.126     brouard  8876:     for (i=1; i<=imx; i++) {
                   8877:       if (wav[i]>0){
1.218   ! brouard  8878:                                ageexmed[i]=agev[mw[1][i]][i];
        !          8879:                                j=wav[i];
        !          8880:                                agecens[i]=1.; 
        !          8881:                                
        !          8882:                                if (ageexmed[i]> 1 && wav[i] > 0){
        !          8883:                                        agecens[i]=agev[mw[j][i]][i];
        !          8884:                                        cens[i]= 1;
        !          8885:                                }else if (ageexmed[i]< 1) 
        !          8886:                                        cens[i]= -1;
        !          8887:                                if (agedc[i]< AGESUP && agedc[i]>1 && dcwave[i]>firstpass && dcwave[i]<=lastpass)
        !          8888:                                        cens[i]=0 ;
1.126     brouard  8889:       }
                   8890:       else cens[i]=-1;
                   8891:     }
                   8892:     
                   8893:     for (i=1;i<=NDIM;i++) {
                   8894:       for (j=1;j<=NDIM;j++)
1.218   ! brouard  8895:                                ximort[i][j]=(i == j ? 1.0 : 0.0);
1.126     brouard  8896:     }
                   8897:     
1.145     brouard  8898:     /*p[1]=0.0268; p[NDIM]=0.083;*/
1.126     brouard  8899:     /*printf("%lf %lf", p[1], p[2]);*/
                   8900:     
                   8901:     
1.136     brouard  8902: #ifdef GSL
                   8903:     printf("GSL optimization\n");  fprintf(ficlog,"Powell\n");
1.162     brouard  8904: #else
1.126     brouard  8905:     printf("Powell\n");  fprintf(ficlog,"Powell\n");
1.136     brouard  8906: #endif
1.201     brouard  8907:     strcpy(filerespow,"POW-MORT_"); 
                   8908:     strcat(filerespow,fileresu);
1.126     brouard  8909:     if((ficrespow=fopen(filerespow,"w"))==NULL) {
                   8910:       printf("Problem with resultfile: %s\n", filerespow);
                   8911:       fprintf(ficlog,"Problem with resultfile: %s\n", filerespow);
                   8912:     }
1.136     brouard  8913: #ifdef GSL
                   8914:     fprintf(ficrespow,"# GSL optimization\n# iter -2*LL");
1.162     brouard  8915: #else
1.126     brouard  8916:     fprintf(ficrespow,"# Powell\n# iter -2*LL");
1.136     brouard  8917: #endif
1.126     brouard  8918:     /*  for (i=1;i<=nlstate;i++)
                   8919:        for(j=1;j<=nlstate+ndeath;j++)
                   8920:        if(j!=i)fprintf(ficrespow," p%1d%1d",i,j);
                   8921:     */
                   8922:     fprintf(ficrespow,"\n");
1.136     brouard  8923: #ifdef GSL
                   8924:     /* gsl starts here */ 
                   8925:     T = gsl_multimin_fminimizer_nmsimplex;
                   8926:     gsl_multimin_fminimizer *sfm = NULL;
                   8927:     gsl_vector *ss, *x;
                   8928:     gsl_multimin_function minex_func;
                   8929: 
                   8930:     /* Initial vertex size vector */
                   8931:     ss = gsl_vector_alloc (NDIM);
                   8932:     
                   8933:     if (ss == NULL){
                   8934:       GSL_ERROR_VAL ("failed to allocate space for ss", GSL_ENOMEM, 0);
                   8935:     }
                   8936:     /* Set all step sizes to 1 */
                   8937:     gsl_vector_set_all (ss, 0.001);
                   8938: 
                   8939:     /* Starting point */
1.126     brouard  8940:     
1.136     brouard  8941:     x = gsl_vector_alloc (NDIM);
                   8942:     
                   8943:     if (x == NULL){
                   8944:       gsl_vector_free(ss);
                   8945:       GSL_ERROR_VAL ("failed to allocate space for x", GSL_ENOMEM, 0);
                   8946:     }
                   8947:   
                   8948:     /* Initialize method and iterate */
                   8949:     /*     p[1]=0.0268; p[NDIM]=0.083; */
1.186     brouard  8950:     /*     gsl_vector_set(x, 0, 0.0268); */
                   8951:     /*     gsl_vector_set(x, 1, 0.083); */
1.136     brouard  8952:     gsl_vector_set(x, 0, p[1]);
                   8953:     gsl_vector_set(x, 1, p[2]);
                   8954: 
                   8955:     minex_func.f = &gompertz_f;
                   8956:     minex_func.n = NDIM;
                   8957:     minex_func.params = (void *)&p; /* ??? */
                   8958:     
                   8959:     sfm = gsl_multimin_fminimizer_alloc (T, NDIM);
                   8960:     gsl_multimin_fminimizer_set (sfm, &minex_func, x, ss);
                   8961:     
                   8962:     printf("Iterations beginning .....\n\n");
                   8963:     printf("Iter. #    Intercept       Slope     -Log Likelihood     Simplex size\n");
                   8964: 
                   8965:     iteri=0;
                   8966:     while (rval == GSL_CONTINUE){
                   8967:       iteri++;
                   8968:       status = gsl_multimin_fminimizer_iterate(sfm);
                   8969:       
                   8970:       if (status) printf("error: %s\n", gsl_strerror (status));
                   8971:       fflush(0);
                   8972:       
                   8973:       if (status) 
                   8974:         break;
                   8975:       
                   8976:       rval = gsl_multimin_test_size (gsl_multimin_fminimizer_size (sfm), 1e-6);
                   8977:       ssval = gsl_multimin_fminimizer_size (sfm);
                   8978:       
                   8979:       if (rval == GSL_SUCCESS)
                   8980:         printf ("converged to a local maximum at\n");
                   8981:       
                   8982:       printf("%5d ", iteri);
                   8983:       for (it = 0; it < NDIM; it++){
                   8984:        printf ("%10.5f ", gsl_vector_get (sfm->x, it));
                   8985:       }
                   8986:       printf("f() = %-10.5f ssize = %.7f\n", sfm->fval, ssval);
                   8987:     }
                   8988:     
                   8989:     printf("\n\n Please note: Program should be run many times with varying starting points to detemine global maximum\n\n");
                   8990:     
                   8991:     gsl_vector_free(x); /* initial values */
                   8992:     gsl_vector_free(ss); /* inital step size */
                   8993:     for (it=0; it<NDIM; it++){
                   8994:       p[it+1]=gsl_vector_get(sfm->x,it);
                   8995:       fprintf(ficrespow," %.12lf", p[it]);
                   8996:     }
                   8997:     gsl_multimin_fminimizer_free (sfm); /* p *(sfm.x.data) et p *(sfm.x.data+1)  */
                   8998: #endif
                   8999: #ifdef POWELL
                   9000:      powell(p,ximort,NDIM,ftol,&iter,&fret,gompertz);
                   9001: #endif  
1.126     brouard  9002:     fclose(ficrespow);
                   9003:     
1.203     brouard  9004:     hesscov(matcov, hess, p, NDIM, delti, 1e-4, gompertz); 
1.126     brouard  9005: 
                   9006:     for(i=1; i <=NDIM; i++)
                   9007:       for(j=i+1;j<=NDIM;j++)
                   9008:        matcov[i][j]=matcov[j][i];
                   9009:     
                   9010:     printf("\nCovariance matrix\n ");
1.203     brouard  9011:     fprintf(ficlog,"\nCovariance matrix\n ");
1.126     brouard  9012:     for(i=1; i <=NDIM; i++) {
                   9013:       for(j=1;j<=NDIM;j++){ 
                   9014:        printf("%f ",matcov[i][j]);
1.203     brouard  9015:        fprintf(ficlog,"%f ",matcov[i][j]);
1.126     brouard  9016:       }
1.203     brouard  9017:       printf("\n ");  fprintf(ficlog,"\n ");
1.126     brouard  9018:     }
                   9019:     
                   9020:     printf("iter=%d MLE=%f Eq=%lf*exp(%lf*(age-%d))\n",iter,-gompertz(p),p[1],p[2],agegomp);
1.193     brouard  9021:     for (i=1;i<=NDIM;i++) {
1.126     brouard  9022:       printf("%f [%f ; %f]\n",p[i],p[i]-2*sqrt(matcov[i][i]),p[i]+2*sqrt(matcov[i][i]));
1.193     brouard  9023:       fprintf(ficlog,"%f [%f ; %f]\n",p[i],p[i]-2*sqrt(matcov[i][i]),p[i]+2*sqrt(matcov[i][i]));
                   9024:     }
1.126     brouard  9025:     lsurv=vector(1,AGESUP);
                   9026:     lpop=vector(1,AGESUP);
                   9027:     tpop=vector(1,AGESUP);
                   9028:     lsurv[agegomp]=100000;
                   9029:     
                   9030:     for (k=agegomp;k<=AGESUP;k++) {
                   9031:       agemortsup=k;
                   9032:       if (p[1]*exp(p[2]*(k-agegomp))>1) break;
                   9033:     }
                   9034:     
                   9035:     for (k=agegomp;k<agemortsup;k++)
                   9036:       lsurv[k+1]=lsurv[k]-lsurv[k]*(p[1]*exp(p[2]*(k-agegomp)));
                   9037:     
                   9038:     for (k=agegomp;k<agemortsup;k++){
                   9039:       lpop[k]=(lsurv[k]+lsurv[k+1])/2.;
                   9040:       sumlpop=sumlpop+lpop[k];
                   9041:     }
                   9042:     
                   9043:     tpop[agegomp]=sumlpop;
                   9044:     for (k=agegomp;k<(agemortsup-3);k++){
                   9045:       /*  tpop[k+1]=2;*/
                   9046:       tpop[k+1]=tpop[k]-lpop[k];
                   9047:     }
                   9048:     
                   9049:     
                   9050:     printf("\nAge   lx     qx    dx    Lx     Tx     e(x)\n");
                   9051:     for (k=agegomp;k<(agemortsup-2);k++) 
                   9052:       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]);
                   9053:     
                   9054:     
                   9055:     replace_back_to_slash(pathc,pathcd); /* Even gnuplot wants a / */
1.194     brouard  9056:     if(ageminpar == AGEOVERFLOW ||agemaxpar == AGEOVERFLOW){
                   9057:        printf("Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
                   9058: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   9059: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
                   9060:        fprintf(ficlog,"Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
                   9061: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   9062: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
                   9063:     }else
1.201     brouard  9064:       printinggnuplotmort(fileresu, optionfilefiname,ageminpar,agemaxpar,fage, pathc,p);
                   9065:     printinghtmlmort(fileresu,title,datafile, firstpass, lastpass, \
1.126     brouard  9066:                     stepm, weightopt,\
                   9067:                     model,imx,p,matcov,agemortsup);
                   9068:     
                   9069:     free_vector(lsurv,1,AGESUP);
                   9070:     free_vector(lpop,1,AGESUP);
                   9071:     free_vector(tpop,1,AGESUP);
1.136     brouard  9072: #ifdef GSL
                   9073:     free_ivector(cens,1,n);
                   9074:     free_vector(agecens,1,n);
                   9075:     free_ivector(dcwave,1,n);
                   9076:     free_matrix(ximort,1,NDIM,1,NDIM);
                   9077: #endif
1.186     brouard  9078:   } /* Endof if mle==-3 mortality only */
1.205     brouard  9079:   /* Standard  */
                   9080:   else{ /* For mle !=- 3, could be 0 or 1 or 4 etc. */
                   9081:     globpr=0;/* Computes sum of likelihood for globpr=1 and funcone */
                   9082:     /* Computes likelihood for initial parameters, uses funcone to compute gpimx and gsw */
1.132     brouard  9083:     likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
1.126     brouard  9084:     printf("First Likeli=%12.6f ipmx=%ld sw=%12.6f",fretone,ipmx,sw);
                   9085:     for (k=1; k<=npar;k++)
                   9086:       printf(" %d %8.5f",k,p[k]);
                   9087:     printf("\n");
1.205     brouard  9088:     if(mle>=1){ /* Could be 1 or 2, Real Maximization */
                   9089:       /* mlikeli uses func not funcone */
                   9090:       mlikeli(ficres,p, npar, ncovmodel, nlstate, ftol, func);
                   9091:     }
                   9092:     if(mle==0) {/* No optimization, will print the likelihoods for the datafile */
                   9093:       globpr=0;/* Computes sum of likelihood for globpr=1 and funcone */
                   9094:       /* Computes likelihood for initial parameters, uses funcone to compute gpimx and gsw */
                   9095:       likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
                   9096:     }
                   9097:     globpr=1; /* again, to print the individual contributions using computed gpimx and gsw */
1.126     brouard  9098:     likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
                   9099:     printf("Second Likeli=%12.6f ipmx=%ld sw=%12.6f",fretone,ipmx,sw);
                   9100:     for (k=1; k<=npar;k++)
                   9101:       printf(" %d %8.5f",k,p[k]);
                   9102:     printf("\n");
                   9103:     
                   9104:     /*--------- results files --------------*/
1.192     brouard  9105:     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=1+age+%s.\n", title, datafile, lastobs, firstpass,lastpass,ftol, stepm, ncovcol, nlstate, ndeath, maxwav, weightopt,model);
1.126     brouard  9106:     
                   9107:     
                   9108:     fprintf(ficres,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   9109:     printf("# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   9110:     fprintf(ficlog,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   9111:     for(i=1,jk=1; i <=nlstate; i++){
                   9112:       for(k=1; k <=(nlstate+ndeath); k++){
                   9113:        if (k != i) {
                   9114:          printf("%d%d ",i,k);
                   9115:          fprintf(ficlog,"%d%d ",i,k);
                   9116:          fprintf(ficres,"%1d%1d ",i,k);
                   9117:          for(j=1; j <=ncovmodel; j++){
1.190     brouard  9118:            printf("%12.7f ",p[jk]);
                   9119:            fprintf(ficlog,"%12.7f ",p[jk]);
                   9120:            fprintf(ficres,"%12.7f ",p[jk]);
1.126     brouard  9121:            jk++; 
                   9122:          }
                   9123:          printf("\n");
                   9124:          fprintf(ficlog,"\n");
                   9125:          fprintf(ficres,"\n");
                   9126:        }
                   9127:       }
                   9128:     }
1.203     brouard  9129:     if(mle != 0){
                   9130:       /* Computing hessian and covariance matrix only at a peak of the Likelihood, that is after optimization */
1.126     brouard  9131:       ftolhess=ftol; /* Usually correct */
1.203     brouard  9132:       hesscov(matcov, hess, p, npar, delti, ftolhess, func);
                   9133:       printf("Parameters and 95%% confidence intervals\n W is simply the result of the division of the parameter by the square root of covariance of the parameter.\n And Wald-based confidence intervals plus and minus 1.96 * W .\n But be careful that parameters are highly correlated because incidence of disability is highly correlated to incidence of recovery.\n It might be better to visualize the covariance matrix. See the page 'Matrix of variance-covariance of one-step probabilities' and its graphs.\n");
                   9134:       fprintf(ficlog, "Parameters, Wald tests and Wald-based confidence intervals\n W is simply the result of the division of the parameter by the square root of covariance of the parameter.\n And Wald-based confidence intervals plus and minus 1.96 * W \n  It might be better to visualize the covariance matrix. See the page 'Matrix of variance-covariance of one-step probabilities' and its graphs.\n");
                   9135:       for(i=1,jk=1; i <=nlstate; i++){
                   9136:        for(k=1; k <=(nlstate+ndeath); k++){
                   9137:          if (k != i) {
                   9138:            printf("%d%d ",i,k);
                   9139:            fprintf(ficlog,"%d%d ",i,k);
                   9140:            for(j=1; j <=ncovmodel; j++){
                   9141:              printf("%12.7f W=%8.3f CI=[%12.7f ; %12.7f] ",p[jk], p[jk]/sqrt(matcov[jk][jk]), p[jk]-1.96*sqrt(matcov[jk][jk]),p[jk]+1.96*sqrt(matcov[jk][jk]));
                   9142:              fprintf(ficlog,"%12.7f W=%8.3f CI=[%12.7f ; %12.7f] ",p[jk], p[jk]/sqrt(matcov[jk][jk]), p[jk]-1.96*sqrt(matcov[jk][jk]),p[jk]+1.96*sqrt(matcov[jk][jk]));
                   9143:              jk++; 
                   9144:            }
                   9145:            printf("\n");
                   9146:            fprintf(ficlog,"\n");
1.193     brouard  9147:          }
                   9148:        }
                   9149:       }
1.203     brouard  9150:     } /* end of hesscov and Wald tests */
1.193     brouard  9151: 
1.203     brouard  9152:     /*  */
1.126     brouard  9153:     fprintf(ficres,"# Scales (for hessian or gradient estimation)\n");
                   9154:     printf("# Scales (for hessian or gradient estimation)\n");
                   9155:     fprintf(ficlog,"# Scales (for hessian or gradient estimation)\n");
                   9156:     for(i=1,jk=1; i <=nlstate; i++){
                   9157:       for(j=1; j <=nlstate+ndeath; j++){
                   9158:        if (j!=i) {
                   9159:          fprintf(ficres,"%1d%1d",i,j);
                   9160:          printf("%1d%1d",i,j);
                   9161:          fprintf(ficlog,"%1d%1d",i,j);
                   9162:          for(k=1; k<=ncovmodel;k++){
                   9163:            printf(" %.5e",delti[jk]);
                   9164:            fprintf(ficlog," %.5e",delti[jk]);
                   9165:            fprintf(ficres," %.5e",delti[jk]);
                   9166:            jk++;
                   9167:          }
                   9168:          printf("\n");
                   9169:          fprintf(ficlog,"\n");
                   9170:          fprintf(ficres,"\n");
                   9171:        }
                   9172:       }
                   9173:     }
                   9174:     
                   9175:     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");
1.203     brouard  9176:     if(mle >= 1) /* To big for the screen */
1.126     brouard  9177:       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");
                   9178:     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");
                   9179:     /* # 121 Var(a12)\n\ */
                   9180:     /* # 122 Cov(b12,a12) Var(b12)\n\ */
                   9181:     /* # 131 Cov(a13,a12) Cov(a13,b12, Var(a13)\n\ */
                   9182:     /* # 132 Cov(b13,a12) Cov(b13,b12, Cov(b13,a13) Var(b13)\n\ */
                   9183:     /* # 212 Cov(a21,a12) Cov(a21,b12, Cov(a21,a13) Cov(a21,b13) Var(a21)\n\ */
                   9184:     /* # 212 Cov(b21,a12) Cov(b21,b12, Cov(b21,a13) Cov(b21,b13) Cov(b21,a21) Var(b21)\n\ */
                   9185:     /* # 232 Cov(a23,a12) Cov(a23,b12, Cov(a23,a13) Cov(a23,b13) Cov(a23,a21) Cov(a23,b21) Var(a23)\n\ */
                   9186:     /* # 232 Cov(b23,a12) Cov(b23,b12) ... Var (b23)\n" */
                   9187:     
                   9188:     
                   9189:     /* Just to have a covariance matrix which will be more understandable
                   9190:        even is we still don't want to manage dictionary of variables
                   9191:     */
                   9192:     for(itimes=1;itimes<=2;itimes++){
                   9193:       jj=0;
                   9194:       for(i=1; i <=nlstate; i++){
                   9195:        for(j=1; j <=nlstate+ndeath; j++){
                   9196:          if(j==i) continue;
                   9197:          for(k=1; k<=ncovmodel;k++){
                   9198:            jj++;
                   9199:            ca[0]= k+'a'-1;ca[1]='\0';
                   9200:            if(itimes==1){
                   9201:              if(mle>=1)
                   9202:                printf("#%1d%1d%d",i,j,k);
                   9203:              fprintf(ficlog,"#%1d%1d%d",i,j,k);
                   9204:              fprintf(ficres,"#%1d%1d%d",i,j,k);
                   9205:            }else{
                   9206:              if(mle>=1)
                   9207:                printf("%1d%1d%d",i,j,k);
                   9208:              fprintf(ficlog,"%1d%1d%d",i,j,k);
                   9209:              fprintf(ficres,"%1d%1d%d",i,j,k);
                   9210:            }
                   9211:            ll=0;
                   9212:            for(li=1;li <=nlstate; li++){
                   9213:              for(lj=1;lj <=nlstate+ndeath; lj++){
                   9214:                if(lj==li) continue;
                   9215:                for(lk=1;lk<=ncovmodel;lk++){
                   9216:                  ll++;
                   9217:                  if(ll<=jj){
                   9218:                    cb[0]= lk +'a'-1;cb[1]='\0';
                   9219:                    if(ll<jj){
                   9220:                      if(itimes==1){
                   9221:                        if(mle>=1)
                   9222:                          printf(" Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   9223:                        fprintf(ficlog," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   9224:                        fprintf(ficres," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   9225:                      }else{
                   9226:                        if(mle>=1)
                   9227:                          printf(" %.5e",matcov[jj][ll]); 
                   9228:                        fprintf(ficlog," %.5e",matcov[jj][ll]); 
                   9229:                        fprintf(ficres," %.5e",matcov[jj][ll]); 
                   9230:                      }
                   9231:                    }else{
                   9232:                      if(itimes==1){
                   9233:                        if(mle>=1)
                   9234:                          printf(" Var(%s%1d%1d)",ca,i,j);
                   9235:                        fprintf(ficlog," Var(%s%1d%1d)",ca,i,j);
                   9236:                        fprintf(ficres," Var(%s%1d%1d)",ca,i,j);
                   9237:                      }else{
                   9238:                        if(mle>=1)
1.203     brouard  9239:                          printf(" %.7e",matcov[jj][ll]); 
                   9240:                        fprintf(ficlog," %.7e",matcov[jj][ll]); 
                   9241:                        fprintf(ficres," %.7e",matcov[jj][ll]); 
1.126     brouard  9242:                      }
                   9243:                    }
                   9244:                  }
                   9245:                } /* end lk */
                   9246:              } /* end lj */
                   9247:            } /* end li */
                   9248:            if(mle>=1)
                   9249:              printf("\n");
                   9250:            fprintf(ficlog,"\n");
                   9251:            fprintf(ficres,"\n");
                   9252:            numlinepar++;
                   9253:          } /* end k*/
                   9254:        } /*end j */
                   9255:       } /* end i */
                   9256:     } /* end itimes */
                   9257:     
                   9258:     fflush(ficlog);
                   9259:     fflush(ficres);
1.209     brouard  9260:       while(fgets(line, MAXLINE, ficpar)) {
                   9261:     /* If line starts with a # it is a comment */
                   9262:     if (line[0] == '#') {
                   9263:       numlinepar++;
1.141     brouard  9264:       fputs(line,stdout);
1.126     brouard  9265:       fputs(line,ficparo);
1.209     brouard  9266:       fputs(line,ficlog);
                   9267:       continue;
                   9268:     }else
                   9269:       break;
                   9270:   }
                   9271: 
                   9272:     /* while((c=getc(ficpar))=='#' && c!= EOF){ */
                   9273:     /*   ungetc(c,ficpar); */
                   9274:     /*   fgets(line, MAXLINE, ficpar); */
                   9275:     /*   fputs(line,stdout); */
                   9276:     /*   fputs(line,ficparo); */
                   9277:     /* } */
                   9278:     /* ungetc(c,ficpar); */
1.126     brouard  9279:     
                   9280:     estepm=0;
1.209     brouard  9281:     if((num_filled=sscanf(line,"agemin=%lf agemax=%lf bage=%lf fage=%lf estepm=%d ftolpl=%lf\n",&ageminpar,&agemaxpar, &bage, &fage, &estepm, &ftolpl)) !=EOF){
                   9282: 
                   9283:     if (num_filled != 6) {
                   9284:       printf("Not 6 parameters in line, for example:agemin=60 agemax=95 bage=55 fage=95 estepm=24 ftolpl=6e-4\n");
                   9285:       printf("but line=%s\n",line);
                   9286:       goto end;
                   9287:     }
                   9288:     printf("agemin=%lf agemax=%lf bage=%lf fage=%lf estepm=%d ftolpl=%lf\n",ageminpar,agemaxpar, bage, fage, estepm, ftolpl);
                   9289:   }
                   9290:   /* ftolpl=6*ftol*1.e5; /\* 6.e-3 make convergences in less than 80 loops for the prevalence limit *\/ */
                   9291:   /*ftolpl=6.e-4;*/ /* 6.e-3 make convergences in less than 80 loops for the prevalence limit */
                   9292: 
                   9293:     /* fscanf(ficpar,"agemin=%lf agemax=%lf bage=%lf fage=%lf estepm=%d ftolpl=%\n",&ageminpar,&agemaxpar, &bage, &fage, &estepm); */
1.126     brouard  9294:     if (estepm==0 || estepm < stepm) estepm=stepm;
                   9295:     if (fage <= 2) {
                   9296:       bage = ageminpar;
                   9297:       fage = agemaxpar;
                   9298:     }
                   9299:     
                   9300:     fprintf(ficres,"# agemin agemax for life expectancy, bage fage (if mle==0 ie no data nor Max likelihood).\n");
1.211     brouard  9301:     fprintf(ficres,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d ftolpl=%e\n",ageminpar,agemaxpar,bage,fage, estepm, ftolpl);
                   9302:     fprintf(ficparo,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d, ftolpl=%e\n",ageminpar,agemaxpar,bage,fage, estepm, ftolpl);
1.186     brouard  9303: 
                   9304:     /* Other stuffs, more or less useful */    
1.126     brouard  9305:     while((c=getc(ficpar))=='#' && c!= EOF){
                   9306:       ungetc(c,ficpar);
                   9307:       fgets(line, MAXLINE, ficpar);
1.141     brouard  9308:       fputs(line,stdout);
1.126     brouard  9309:       fputs(line,ficparo);
                   9310:     }
                   9311:     ungetc(c,ficpar);
                   9312:     
                   9313:     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);
                   9314:     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);
                   9315:     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);
                   9316:     printf("begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf mov_average=%d\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,mobilav);
                   9317:     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);
                   9318:     
                   9319:     while((c=getc(ficpar))=='#' && c!= EOF){
                   9320:       ungetc(c,ficpar);
                   9321:       fgets(line, MAXLINE, ficpar);
1.141     brouard  9322:       fputs(line,stdout);
1.126     brouard  9323:       fputs(line,ficparo);
                   9324:     }
                   9325:     ungetc(c,ficpar);
                   9326:     
                   9327:     
                   9328:     dateprev1=anprev1+(mprev1-1)/12.+(jprev1-1)/365.;
                   9329:     dateprev2=anprev2+(mprev2-1)/12.+(jprev2-1)/365.;
                   9330:     
                   9331:     fscanf(ficpar,"pop_based=%d\n",&popbased);
1.193     brouard  9332:     fprintf(ficlog,"pop_based=%d\n",popbased);
1.126     brouard  9333:     fprintf(ficparo,"pop_based=%d\n",popbased);   
                   9334:     fprintf(ficres,"pop_based=%d\n",popbased);   
                   9335:     
                   9336:     while((c=getc(ficpar))=='#' && c!= EOF){
                   9337:       ungetc(c,ficpar);
                   9338:       fgets(line, MAXLINE, ficpar);
1.141     brouard  9339:       fputs(line,stdout);
1.126     brouard  9340:       fputs(line,ficparo);
                   9341:     }
                   9342:     ungetc(c,ficpar);
                   9343:     
                   9344:     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);
                   9345:     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);
                   9346:     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);
                   9347:     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);
                   9348:     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);
                   9349:     /* day and month of proj2 are not used but only year anproj2.*/
                   9350:     
1.217     brouard  9351:     while((c=getc(ficpar))=='#' && c!= EOF){
                   9352:       ungetc(c,ficpar);
                   9353:       fgets(line, MAXLINE, ficpar);
                   9354:       fputs(line,stdout);
                   9355:       fputs(line,ficparo);
                   9356:     }
                   9357:     ungetc(c,ficpar);
                   9358:     
                   9359:     fscanf(ficpar,"backcast=%d starting-back-date=%lf/%lf/%lf final-back-date=%lf/%lf/%lf mobil_average=%d\n",&backcast,&jback1,&mback1,&anback1,&jback2,&mback2,&anback2,&mobilavproj);
                   9360:     fscanf(ficparo,"backcast=%d starting-back-date=%lf/%lf/%lf final-back-date=%lf/%lf/%lf mobil_average=%d\n",&backcast,&jback1,&mback1,&anback1,&jback2,&mback2,&anback2,&mobilavproj);
                   9361:     fscanf(ficlog,"backcast=%d starting-back-date=%lf/%lf/%lf final-back-date=%lf/%lf/%lf mobil_average=%d\n",&backcast,&jback1,&mback1,&anback1,&jback2,&mback2,&anback2,&mobilavproj);
                   9362:     fscanf(ficres,"backcast=%d starting-back-date=%lf/%lf/%lf final-back-date=%lf/%lf/%lf mobil_average=%d\n",&backcast,&jback1,&mback1,&anback1,&jback2,&mback2,&anback2,&mobilavproj);
                   9363:     /* day and month of proj2 are not used but only year anproj2.*/
1.126     brouard  9364:     
                   9365:     
1.145     brouard  9366:      /* freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint); */
                   9367:     /* ,dateprev1,dateprev2,jprev1, mprev1,anprev1,jprev2, mprev2,anprev2); */
1.126     brouard  9368:     
                   9369:     replace_back_to_slash(pathc,pathcd); /* Even gnuplot wants a / */
1.194     brouard  9370:     if(ageminpar == AGEOVERFLOW ||agemaxpar == -AGEOVERFLOW){
                   9371:        printf("Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
                   9372: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   9373: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
                   9374:        fprintf(ficlog,"Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
                   9375: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   9376: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
                   9377:     }else
1.218   ! brouard  9378:       printinggnuplot(fileresu, optionfilefiname,ageminpar,agemaxpar,fage, prevfcast, backcast, pathc,p);
1.126     brouard  9379:     
1.201     brouard  9380:     printinghtml(fileresu,title,datafile, firstpass, lastpass, stepm, weightopt,\
1.217     brouard  9381:                 model,imx,jmin,jmax,jmean,rfileres,popforecast,prevfcast,backcast, estepm, \
1.213     brouard  9382:                 jprev1,mprev1,anprev1,dateprev1,jprev2,mprev2,anprev2,dateprev2);
1.126     brouard  9383:       
                   9384:    /*------------ free_vector  -------------*/
                   9385:    /*  chdir(path); */
                   9386:  
1.215     brouard  9387:     /* free_ivector(wav,1,imx); */  /* Moved after last prevalence call */
                   9388:     /* free_imatrix(dh,1,lastpass-firstpass+2,1,imx); */
                   9389:     /* free_imatrix(bh,1,lastpass-firstpass+2,1,imx); */
                   9390:     /* free_imatrix(mw,1,lastpass-firstpass+2,1,imx);    */
1.126     brouard  9391:     free_lvector(num,1,n);
                   9392:     free_vector(agedc,1,n);
                   9393:     /*free_matrix(covar,0,NCOVMAX,1,n);*/
                   9394:     /*free_matrix(covar,1,NCOVMAX,1,n);*/
                   9395:     fclose(ficparo);
                   9396:     fclose(ficres);
                   9397: 
                   9398: 
1.186     brouard  9399:     /* Other results (useful)*/
                   9400: 
                   9401: 
1.126     brouard  9402:     /*--------------- Prevalence limit  (period or stable prevalence) --------------*/
1.180     brouard  9403:     /*#include "prevlim.h"*/  /* Use ficrespl, ficlog */
                   9404:     prlim=matrix(1,nlstate,1,nlstate);
1.209     brouard  9405:     prevalence_limit(p, prlim,  ageminpar, agemaxpar, ftolpl, &ncvyear);
1.126     brouard  9406:     fclose(ficrespl);
                   9407: 
                   9408:     /*------------- h Pij x at various ages ------------*/
1.180     brouard  9409:     /*#include "hpijx.h"*/
                   9410:     hPijx(p, bage, fage);
1.145     brouard  9411:     fclose(ficrespij);
1.126     brouard  9412: 
1.218   ! brouard  9413:                ncovcombmax=  pow(2,cptcoveff);
1.145     brouard  9414:   /*-------------- Variance of one-step probabilities---*/
                   9415:     k=1;
1.126     brouard  9416:     varprob(optionfilefiname, matcov, p, delti, nlstate, bage, fage,k,Tvar,nbcode, ncodemax,strstart);
                   9417: 
1.218   ! brouard  9418:                /* Prevalence for each covariates in probs[age][status][cov] */
        !          9419:     probs= ma3x(1,AGESUP,1,nlstate+ndeath, 1,ncovcombmax);
1.126     brouard  9420:     for(i=1;i<=AGESUP;i++)
1.218   ! brouard  9421:       for(j=1;j<=nlstate;j++)
        !          9422:                                for(k=1;k<=ncovcombmax;k++)
        !          9423:                                        probs[i][j][k]=0.;
        !          9424:                prevalence(probs, ageminpar, agemaxpar, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass);
        !          9425:                if (mobilav!=0 ||mobilavproj !=0 ) {
        !          9426:                        mobaverage= ma3x(1, AGESUP,1,nlstate+ndeath, 1,ncovcombmax);
        !          9427:                        if (mobilav!=0) {
        !          9428:                                if (movingaverage(probs, ageminpar, agemaxpar, mobaverage, mobilav)!=0){
        !          9429:                                        fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
        !          9430:                                        printf(" Error in movingaverage mobilav=%d\n",mobilav);
        !          9431:                                }
        !          9432:                        }
        !          9433:                        /* /\* Prevalence for each covariates in probs[age][status][cov] *\/ */
        !          9434:                        /* prevalence(probs, ageminpar, agemaxpar, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass); */
        !          9435:                        else if (mobilavproj !=0) {
        !          9436:                                if (movingaverage(probs, ageminpar, agemaxpar, mobaverage, mobilavproj)!=0){
        !          9437:                                        fprintf(ficlog," Error in movingaverage mobilavproj=%d\n",mobilavproj);
        !          9438:                                        printf(" Error in movingaverage mobilavproj=%d\n",mobilavproj);
        !          9439:                                }
        !          9440:                        }
        !          9441:                }/* end if moving average */
1.126     brouard  9442: 
                   9443:     /*---------- Forecasting ------------------*/
                   9444:     /*if((stepm == 1) && (strcmp(model,".")==0)){*/
                   9445:     if(prevfcast==1){
                   9446:       /*    if(stepm ==1){*/
1.201     brouard  9447:       prevforecast(fileresu, anproj1, mproj1, jproj1, agemin, agemax, dateprev1, dateprev2, mobilavproj, bage, fage, firstpass, lastpass, anproj2, p, cptcoveff);
1.126     brouard  9448:     }
1.217     brouard  9449:     if(backcast==1){
1.218   ! brouard  9450:                ddnewms=matrix(1,nlstate+ndeath,1,nlstate+ndeath);      
        !          9451:                ddoldms=matrix(1,nlstate+ndeath,1,nlstate+ndeath);      
        !          9452:                ddsavms=matrix(1,nlstate+ndeath,1,nlstate+ndeath);
        !          9453: 
        !          9454:                        /*--------------- Back Prevalence limit  (period or stable prevalence) --------------*/
        !          9455:                        /*#include "prevlim.h"*/  /* Use ficresplb, ficlog */
        !          9456:                        bprlim=matrix(1,nlstate,1,nlstate);
        !          9457:                        back_prevalence_limit(p, bprlim,  ageminpar, agemaxpar, ftolpl, &ncvyear, dateprev1, dateprev2, firstpass, lastpass, mobilavproj);
        !          9458:                        fclose(ficresplb);
        !          9459: 
        !          9460:                        hBijx(p, bage, fage, mobaverage);
        !          9461:                        fclose(ficrespijb);
        !          9462:                        free_matrix(bprlim,1,nlstate,1,nlstate); /*here or after loop ? */
        !          9463: 
        !          9464:       /* prevbackforecast(fileresu, anback1, mback1, jback1, agemin, agemax, dateprev1, dateprev2, mobilavproj, bage, fage, firstpass, lastpass, anback2, p, cptcoveff); */
        !          9465:                        free_matrix(ddnewms, 1, nlstate+ndeath, 1, nlstate+ndeath);
        !          9466:                        free_matrix(ddsavms, 1, nlstate+ndeath, 1, nlstate+ndeath);
        !          9467:                        free_matrix(ddoldms, 1, nlstate+ndeath, 1, nlstate+ndeath);
        !          9468:                }
        !          9469:   /* if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
        !          9470:   /* if (mobilavproj!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
        !          9471: 
1.217     brouard  9472:     /* (popforecast==1) populforecast(fileres, anpyram,mpyram,jpyram, agemin,agemax, dateprev1, dateprev2,mobilav, agedeb, fage, popforecast, popfile, anpyram1,p, i1);*/
                   9473:     /*      }  */
                   9474:     /*      else{ */
                   9475:     /*        erreur=108; */
                   9476:     /*        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); */
                   9477:     /*        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); */
                   9478:     /*      } */
                   9479:     
1.186     brouard  9480:  
                   9481:     /* ------ Other prevalence ratios------------ */
1.126     brouard  9482: 
1.127     brouard  9483:     /* Computes prevalence between agemin (i.e minimal age computed) and no more ageminpar */
                   9484: 
1.218   ! brouard  9485:     /* prevalence(probs, agemin, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass); */
1.127     brouard  9486:     /*  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",\
                   9487:        ageminpar, agemax, s[lastpass][imx], agev[lastpass][imx], nlstate, imx, mint[lastpass][imx],anint[lastpass][imx], dateprev1, dateprev2, firstpass, lastpass);
                   9488:     */
1.215     brouard  9489:     free_ivector(wav,1,imx);
                   9490:     free_imatrix(dh,1,lastpass-firstpass+2,1,imx);
                   9491:     free_imatrix(bh,1,lastpass-firstpass+2,1,imx);
                   9492:     free_imatrix(mw,1,lastpass-firstpass+2,1,imx);   
1.218   ! brouard  9493:                
        !          9494:                
        !          9495:                /*   if (mobilav!=0) { */
        !          9496:                /*     mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
        !          9497:                /*     if (movingaverage(probs, bage, fage, mobaverage,mobilav)!=0){ */
        !          9498:                /* fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav); */
        !          9499:                /* printf(" Error in movingaverage mobilav=%d\n",mobilav); */
        !          9500:                /*     } */
        !          9501:                /*   } */
        !          9502:                
        !          9503:                
1.127     brouard  9504:     /*---------- Health expectancies, no variances ------------*/
1.218   ! brouard  9505:                
1.201     brouard  9506:     strcpy(filerese,"E_");
                   9507:     strcat(filerese,fileresu);
1.126     brouard  9508:     if((ficreseij=fopen(filerese,"w"))==NULL) {
                   9509:       printf("Problem with Health Exp. resultfile: %s\n", filerese); exit(0);
                   9510:       fprintf(ficlog,"Problem with Health Exp. resultfile: %s\n", filerese); exit(0);
                   9511:     }
1.208     brouard  9512:     printf("Computing Health Expectancies: result on file '%s' ...", filerese);fflush(stdout);
                   9513:     fprintf(ficlog,"Computing Health Expectancies: result on file '%s' ...", filerese);fflush(ficlog);
1.145     brouard  9514:     /*for(cptcov=1,k=0;cptcov<=i1;cptcov++){
                   9515:       for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*/
1.218   ! brouard  9516:                
1.145     brouard  9517:     for (k=1; k <= (int) pow(2,cptcoveff); k++){
1.218   ! brouard  9518:                        fprintf(ficreseij,"\n#****** ");
        !          9519:                        for(j=1;j<=cptcoveff;j++) {
        !          9520:                                fprintf(ficreseij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
        !          9521:                        }
        !          9522:                        fprintf(ficreseij,"******\n");
        !          9523:                        
        !          9524:                        eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
        !          9525:                        oldm=oldms;savm=savms;
        !          9526:                        evsij(eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k, estepm, strstart);  
1.127     brouard  9527:       
1.218   ! brouard  9528:                        free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);
1.145     brouard  9529:       /*}*/
1.127     brouard  9530:     }
                   9531:     fclose(ficreseij);
1.208     brouard  9532:     printf("done evsij\n");fflush(stdout);
                   9533:     fprintf(ficlog,"done evsij\n");fflush(ficlog);
1.218   ! brouard  9534:                
1.127     brouard  9535:     /*---------- Health expectancies and variances ------------*/
1.218   ! brouard  9536:                
        !          9537:                
1.201     brouard  9538:     strcpy(filerest,"T_");
                   9539:     strcat(filerest,fileresu);
1.127     brouard  9540:     if((ficrest=fopen(filerest,"w"))==NULL) {
                   9541:       printf("Problem with total LE resultfile: %s\n", filerest);goto end;
                   9542:       fprintf(ficlog,"Problem with total LE resultfile: %s\n", filerest);goto end;
                   9543:     }
1.208     brouard  9544:     printf("Computing Total Life expectancies with their standard errors: file '%s' ...\n", filerest); fflush(stdout);
                   9545:     fprintf(ficlog,"Computing Total Life expectancies with their standard errors: file '%s' ...\n", filerest); fflush(ficlog);
1.218   ! brouard  9546:                
1.126     brouard  9547: 
1.201     brouard  9548:     strcpy(fileresstde,"STDE_");
                   9549:     strcat(fileresstde,fileresu);
1.126     brouard  9550:     if((ficresstdeij=fopen(fileresstde,"w"))==NULL) {
                   9551:       printf("Problem with Health Exp. and std errors resultfile: %s\n", fileresstde); exit(0);
                   9552:       fprintf(ficlog,"Problem with Health Exp. and std errors resultfile: %s\n", fileresstde); exit(0);
                   9553:     }
1.208     brouard  9554:     printf("  Computing Health Expectancies and standard errors: result on file '%s' \n", fileresstde);
                   9555:     fprintf(ficlog,"  Computing Health Expectancies and standard errors: result on file '%s' \n", fileresstde);
1.126     brouard  9556: 
1.201     brouard  9557:     strcpy(filerescve,"CVE_");
                   9558:     strcat(filerescve,fileresu);
1.126     brouard  9559:     if((ficrescveij=fopen(filerescve,"w"))==NULL) {
                   9560:       printf("Problem with Covar. Health Exp. resultfile: %s\n", filerescve); exit(0);
                   9561:       fprintf(ficlog,"Problem with Covar. Health Exp. resultfile: %s\n", filerescve); exit(0);
                   9562:     }
1.208     brouard  9563:     printf("    Computing Covar. of Health Expectancies: result on file '%s' \n", filerescve);
                   9564:     fprintf(ficlog,"    Computing Covar. of Health Expectancies: result on file '%s' \n", filerescve);
1.126     brouard  9565: 
1.201     brouard  9566:     strcpy(fileresv,"V_");
                   9567:     strcat(fileresv,fileresu);
1.126     brouard  9568:     if((ficresvij=fopen(fileresv,"w"))==NULL) {
                   9569:       printf("Problem with variance resultfile: %s\n", fileresv);exit(0);
                   9570:       fprintf(ficlog,"Problem with variance resultfile: %s\n", fileresv);exit(0);
                   9571:     }
1.208     brouard  9572:     printf("      Computing Variance-covariance of DFLEs: file '%s' ... ", fileresv);fflush(stdout);
                   9573:     fprintf(ficlog,"      Computing Variance-covariance of DFLEs: file '%s' ... ", fileresv);fflush(ficlog);
1.126     brouard  9574: 
1.145     brouard  9575:     /*for(cptcov=1,k=0;cptcov<=i1;cptcov++){
                   9576:       for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*/
                   9577:           
                   9578:     for (k=1; k <= (int) pow(2,cptcoveff); k++){
1.208     brouard  9579:       fprintf(ficrest,"\n#****** ");
                   9580:       for(j=1;j<=cptcoveff;j++) 
1.218   ! brouard  9581:                                fprintf(ficrest,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.208     brouard  9582:       fprintf(ficrest,"******\n");
                   9583:       
                   9584:       fprintf(ficresstdeij,"\n#****** ");
                   9585:       fprintf(ficrescveij,"\n#****** ");
                   9586:       for(j=1;j<=cptcoveff;j++) {
1.218   ! brouard  9587:                                fprintf(ficresstdeij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
        !          9588:                                fprintf(ficrescveij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.208     brouard  9589:       }
                   9590:       fprintf(ficresstdeij,"******\n");
                   9591:       fprintf(ficrescveij,"******\n");
                   9592:       
                   9593:       fprintf(ficresvij,"\n#****** ");
                   9594:       for(j=1;j<=cptcoveff;j++) 
1.218   ! brouard  9595:                                fprintf(ficresvij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.208     brouard  9596:       fprintf(ficresvij,"******\n");
                   9597:       
                   9598:       eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
                   9599:       oldm=oldms;savm=savms;
                   9600:       printf(" cvevsij %d, ",k);
                   9601:       fprintf(ficlog, " cvevsij %d, ",k);
                   9602:       cvevsij(eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k, estepm, delti, matcov, strstart);
                   9603:       printf(" end cvevsij \n ");
                   9604:       fprintf(ficlog, " end cvevsij \n ");
                   9605:       
                   9606:       /*
                   9607:        */
                   9608:       /* goto endfree; */
                   9609:       
                   9610:       vareij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
                   9611:       pstamp(ficrest);
                   9612:       
                   9613:       
                   9614:       for(vpopbased=0; vpopbased <= popbased; vpopbased++){ /* Done for vpopbased=0 and vpopbased=1 if popbased==1*/
1.218   ! brouard  9615:                                oldm=oldms;savm=savms; /* ZZ Segmentation fault */
        !          9616:                                cptcod= 0; /* To be deleted */
        !          9617:                                printf("varevsij %d \n",vpopbased);
        !          9618:                                fprintf(ficlog, "varevsij %d \n",vpopbased);
        !          9619:                                varevsij(optionfilefiname, vareij, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl, &ncvyear, k, estepm, cptcov,cptcod,vpopbased,mobilav, strstart); /* cptcod not initialized Intel */
        !          9620:                                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 ");
        !          9621:                                if(vpopbased==1)
        !          9622:                                        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);
        !          9623:                                else
        !          9624:                                        fprintf(ficrest,"the age specific period (stable) prevalences in each health state \n");
        !          9625:                                fprintf(ficrest,"# Age popbased mobilav e.. (std) ");
        !          9626:                                for (i=1;i<=nlstate;i++) fprintf(ficrest,"e.%d (std) ",i);
        !          9627:                                fprintf(ficrest,"\n");
        !          9628:                                /* printf("Which p?\n"); for(i=1;i<=npar;i++)printf("p[i=%d]=%lf,",i,p[i]);printf("\n"); */
        !          9629:                                epj=vector(1,nlstate+1);
        !          9630:                                printf("Computing age specific period (stable) prevalences in each health state \n");
        !          9631:                                fprintf(ficlog,"Computing age specific period (stable) prevalences in each health state \n");
        !          9632:                                for(age=bage; age <=fage ;age++){
        !          9633:                                        prevalim(prlim, nlstate, p, age, oldm, savm, ftolpl, &ncvyear, k); /*ZZ Is it the correct prevalim */
        !          9634:                                        if (vpopbased==1) {
        !          9635:                                                if(mobilav ==0){
        !          9636:                                                        for(i=1; i<=nlstate;i++)
        !          9637:                                                                prlim[i][i]=probs[(int)age][i][k];
        !          9638:                                                }else{ /* mobilav */ 
        !          9639:                                                        for(i=1; i<=nlstate;i++)
        !          9640:                                                                prlim[i][i]=mobaverage[(int)age][i][k];
        !          9641:                                                }
        !          9642:                                        }
        !          9643:                                        
        !          9644:                                        fprintf(ficrest," %4.0f %d %d",age, vpopbased, mobilav);
        !          9645:                                        /* fprintf(ficrest," %4.0f %d %d %d %d",age, vpopbased, mobilav,Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]); */ /* to be done */
        !          9646:                                        /* printf(" age %4.0f ",age); */
        !          9647:                                        for(j=1, epj[nlstate+1]=0.;j <=nlstate;j++){
        !          9648:                                                for(i=1, epj[j]=0.;i <=nlstate;i++) {
        !          9649:                                                        epj[j] += prlim[i][i]*eij[i][j][(int)age];
        !          9650:                                                        /*ZZZ  printf("%lf %lf ", prlim[i][i] ,eij[i][j][(int)age]);*/
        !          9651:                                                        /* printf("%lf %lf ", prlim[i][i] ,eij[i][j][(int)age]); */
        !          9652:                                                }
        !          9653:                                                epj[nlstate+1] +=epj[j];
        !          9654:                                        }
        !          9655:                                        /* printf(" age %4.0f \n",age); */
        !          9656:                                        
        !          9657:                                        for(i=1, vepp=0.;i <=nlstate;i++)
        !          9658:                                                for(j=1;j <=nlstate;j++)
        !          9659:                                                        vepp += vareij[i][j][(int)age];
        !          9660:                                        fprintf(ficrest," %7.3f (%7.3f)", epj[nlstate+1],sqrt(vepp));
        !          9661:                                        for(j=1;j <=nlstate;j++){
        !          9662:                                                fprintf(ficrest," %7.3f (%7.3f)", epj[j],sqrt(vareij[j][j][(int)age]));
        !          9663:                                        }
        !          9664:                                        fprintf(ficrest,"\n");
        !          9665:                                }
1.208     brouard  9666:       } /* End vpopbased */
                   9667:       free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);
                   9668:       free_ma3x(vareij,1,nlstate,1,nlstate,(int) bage, (int)fage);
                   9669:       free_vector(epj,1,nlstate+1);
                   9670:       printf("done \n");fflush(stdout);
                   9671:       fprintf(ficlog,"done\n");fflush(ficlog);
                   9672:       
1.145     brouard  9673:       /*}*/
1.208     brouard  9674:     } /* End k */
1.126     brouard  9675:     free_vector(weight,1,n);
1.145     brouard  9676:     free_imatrix(Tvard,1,NCOVMAX,1,2);
1.126     brouard  9677:     free_imatrix(s,1,maxwav+1,1,n);
                   9678:     free_matrix(anint,1,maxwav,1,n); 
                   9679:     free_matrix(mint,1,maxwav,1,n);
                   9680:     free_ivector(cod,1,n);
                   9681:     free_ivector(tab,1,NCOVMAX);
                   9682:     fclose(ficresstdeij);
                   9683:     fclose(ficrescveij);
                   9684:     fclose(ficresvij);
                   9685:     fclose(ficrest);
1.208     brouard  9686:     printf("done Health expectancies\n");fflush(stdout);
                   9687:     fprintf(ficlog,"done Health expectancies\n");fflush(ficlog);
1.126     brouard  9688:     fclose(ficpar);
                   9689:   
                   9690:     /*------- Variance of period (stable) prevalence------*/   
                   9691: 
1.201     brouard  9692:     strcpy(fileresvpl,"VPL_");
                   9693:     strcat(fileresvpl,fileresu);
1.126     brouard  9694:     if((ficresvpl=fopen(fileresvpl,"w"))==NULL) {
                   9695:       printf("Problem with variance of period (stable) prevalence  resultfile: %s\n", fileresvpl);
                   9696:       exit(0);
                   9697:     }
1.208     brouard  9698:     printf("Computing Variance-covariance of period (stable) prevalence: file '%s' ...", fileresvpl);fflush(stdout);
                   9699:     fprintf(ficlog, "Computing Variance-covariance of period (stable) prevalence: file '%s' ...", fileresvpl);fflush(ficlog);
1.126     brouard  9700: 
1.145     brouard  9701:     /*for(cptcov=1,k=0;cptcov<=i1;cptcov++){
                   9702:       for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*/
                   9703:           
                   9704:     for (k=1; k <= (int) pow(2,cptcoveff); k++){
                   9705:        fprintf(ficresvpl,"\n#****** ");
1.218   ! brouard  9706:                        for(j=1;j<=cptcoveff;j++) 
        !          9707:                                fprintf(ficresvpl,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
        !          9708:                        fprintf(ficresvpl,"******\n");
        !          9709:       
        !          9710:                        varpl=matrix(1,nlstate,(int) bage, (int) fage);
        !          9711:                        oldm=oldms;savm=savms;
        !          9712:                        varprevlim(fileres, varpl, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl, &ncvyear, k, strstart);
        !          9713:                        free_matrix(varpl,1,nlstate,(int) bage, (int)fage);
1.145     brouard  9714:       /*}*/
1.126     brouard  9715:     }
1.218   ! brouard  9716:                
1.126     brouard  9717:     fclose(ficresvpl);
1.208     brouard  9718:     printf("done variance-covariance of period prevalence\n");fflush(stdout);
                   9719:     fprintf(ficlog,"done variance-covariance of period prevalence\n");fflush(ficlog);
1.126     brouard  9720: 
                   9721:     /*---------- End : free ----------------*/
1.218   ! brouard  9722:     if (mobilav!=0 ||mobilavproj !=0) free_ma3x(mobaverage,1, AGESUP,1,nlstate+ndeath, 1,ncovcombmax); /* We need to have a squared matrix with prevalence of the dead! */
        !          9723:     free_ma3x(probs,1,AGESUP,1,nlstate+ndeath, 1,ncovcombmax);
1.126     brouard  9724:   }  /* mle==-3 arrives here for freeing */
1.164     brouard  9725:  /* endfree:*/
1.141     brouard  9726:     free_matrix(prlim,1,nlstate,1,nlstate); /*here or after loop ? */
1.126     brouard  9727:     free_matrix(pmmij,1,nlstate+ndeath,1,nlstate+ndeath);
                   9728:     free_matrix(oldms, 1,nlstate+ndeath,1,nlstate+ndeath);
                   9729:     free_matrix(newms, 1,nlstate+ndeath,1,nlstate+ndeath);
                   9730:     free_matrix(savms, 1,nlstate+ndeath,1,nlstate+ndeath);
                   9731:     free_matrix(covar,0,NCOVMAX,1,n);
                   9732:     free_matrix(matcov,1,npar,1,npar);
1.203     brouard  9733:     free_matrix(hess,1,npar,1,npar);
1.126     brouard  9734:     /*free_vector(delti,1,npar);*/
                   9735:     free_ma3x(delti3,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel); 
                   9736:     free_matrix(agev,1,maxwav,1,imx);
                   9737:     free_ma3x(param,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel);
                   9738: 
1.145     brouard  9739:     free_ivector(ncodemax,1,NCOVMAX);
1.192     brouard  9740:     free_ivector(ncodemaxwundef,1,NCOVMAX);
1.145     brouard  9741:     free_ivector(Tvar,1,NCOVMAX);
                   9742:     free_ivector(Tprod,1,NCOVMAX);
                   9743:     free_ivector(Tvaraff,1,NCOVMAX);
                   9744:     free_ivector(Tage,1,NCOVMAX);
1.126     brouard  9745: 
                   9746:     free_imatrix(nbcode,0,NCOVMAX,0,NCOVMAX);
1.200     brouard  9747:     /* free_imatrix(codtab,1,100,1,10); */
1.126     brouard  9748:   fflush(fichtm);
                   9749:   fflush(ficgp);
                   9750:   
                   9751: 
                   9752:   if((nberr >0) || (nbwarn>0)){
1.216     brouard  9753:     printf("End of Imach with %d errors and/or %d warnings. Please look at the log file for details.\n",nberr,nbwarn);
                   9754:     fprintf(ficlog,"End of Imach with %d errors and/or warnings %d. Please look at the log file for details.\n",nberr,nbwarn);
1.126     brouard  9755:   }else{
                   9756:     printf("End of Imach\n");
                   9757:     fprintf(ficlog,"End of Imach\n");
                   9758:   }
                   9759:   printf("See log file on %s\n",filelog);
                   9760:   /*  gettimeofday(&end_time, (struct timezone*)0);*/  /* after time */
1.157     brouard  9761:   /*(void) gettimeofday(&end_time,&tzp);*/
                   9762:   rend_time = time(NULL);  
                   9763:   end_time = *localtime(&rend_time);
                   9764:   /* tml = *localtime(&end_time.tm_sec); */
                   9765:   strcpy(strtend,asctime(&end_time));
1.126     brouard  9766:   printf("Local time at start %s\nLocal time at end   %s",strstart, strtend); 
                   9767:   fprintf(ficlog,"Local time at start %s\nLocal time at end   %s\n",strstart, strtend); 
1.157     brouard  9768:   printf("Total time used %s\n", asc_diff_time(rend_time -rstart_time,tmpout));
1.126     brouard  9769: 
1.157     brouard  9770:   printf("Total time was %.0lf Sec.\n", difftime(rend_time,rstart_time));
                   9771:   fprintf(ficlog,"Total time used %s\n", asc_diff_time(rend_time -rstart_time,tmpout));
                   9772:   fprintf(ficlog,"Total time was %.0lf Sec.\n", difftime(rend_time,rstart_time));
1.126     brouard  9773:   /*  printf("Total time was %d uSec.\n", total_usecs);*/
                   9774: /*   if(fileappend(fichtm,optionfilehtm)){ */
                   9775:   fprintf(fichtm,"<br>Local time at start %s<br>Local time at end   %s<br>\n</body></html>",strstart, strtend);
                   9776:   fclose(fichtm);
                   9777:   fprintf(fichtmcov,"<br>Local time at start %s<br>Local time at end   %s<br>\n</body></html>",strstart, strtend);
                   9778:   fclose(fichtmcov);
                   9779:   fclose(ficgp);
                   9780:   fclose(ficlog);
                   9781:   /*------ End -----------*/
                   9782: 
                   9783: 
                   9784:    printf("Before Current directory %s!\n",pathcd);
1.184     brouard  9785: #ifdef WIN32
                   9786:    if (_chdir(pathcd) != 0)
                   9787:           printf("Can't move to directory %s!\n",path);
                   9788:    if(_getcwd(pathcd,MAXLINE) > 0)
                   9789: #else
1.126     brouard  9790:    if(chdir(pathcd) != 0)
1.184     brouard  9791:           printf("Can't move to directory %s!\n", path);
                   9792:    if (getcwd(pathcd, MAXLINE) > 0)
                   9793: #endif 
1.126     brouard  9794:     printf("Current directory %s!\n",pathcd);
                   9795:   /*strcat(plotcmd,CHARSEPARATOR);*/
                   9796:   sprintf(plotcmd,"gnuplot");
1.157     brouard  9797: #ifdef _WIN32
1.126     brouard  9798:   sprintf(plotcmd,"\"%sgnuplot.exe\"",pathimach);
                   9799: #endif
                   9800:   if(!stat(plotcmd,&info)){
1.158     brouard  9801:     printf("Error or gnuplot program not found: '%s'\n",plotcmd);fflush(stdout);
1.126     brouard  9802:     if(!stat(getenv("GNUPLOTBIN"),&info)){
1.158     brouard  9803:       printf("Error or gnuplot program not found: '%s' Environment GNUPLOTBIN not set.\n",plotcmd);fflush(stdout);
1.126     brouard  9804:     }else
                   9805:       strcpy(pplotcmd,plotcmd);
1.157     brouard  9806: #ifdef __unix
1.126     brouard  9807:     strcpy(plotcmd,GNUPLOTPROGRAM);
                   9808:     if(!stat(plotcmd,&info)){
1.158     brouard  9809:       printf("Error gnuplot program not found: '%s'\n",plotcmd);fflush(stdout);
1.126     brouard  9810:     }else
                   9811:       strcpy(pplotcmd,plotcmd);
                   9812: #endif
                   9813:   }else
                   9814:     strcpy(pplotcmd,plotcmd);
                   9815:   
                   9816:   sprintf(plotcmd,"%s %s",pplotcmd, optionfilegnuplot);
1.158     brouard  9817:   printf("Starting graphs with: '%s'\n",plotcmd);fflush(stdout);
1.126     brouard  9818: 
                   9819:   if((outcmd=system(plotcmd)) != 0){
1.158     brouard  9820:     printf("gnuplot command might not be in your path: '%s', err=%d\n", plotcmd, outcmd);
1.154     brouard  9821:     printf("\n Trying if gnuplot resides on the same directory that IMaCh\n");
1.152     brouard  9822:     sprintf(plotcmd,"%sgnuplot %s", pathimach, optionfilegnuplot);
1.150     brouard  9823:     if((outcmd=system(plotcmd)) != 0)
1.153     brouard  9824:       printf("\n Still a problem with gnuplot command %s, err=%d\n", plotcmd, outcmd);
1.126     brouard  9825:   }
1.158     brouard  9826:   printf(" Successful, please wait...");
1.126     brouard  9827:   while (z[0] != 'q') {
                   9828:     /* chdir(path); */
1.154     brouard  9829:     printf("\nType e to edit results with your browser, g to graph again and q for exit: ");
1.126     brouard  9830:     scanf("%s",z);
                   9831: /*     if (z[0] == 'c') system("./imach"); */
                   9832:     if (z[0] == 'e') {
1.158     brouard  9833: #ifdef __APPLE__
1.152     brouard  9834:       sprintf(pplotcmd, "open %s", optionfilehtm);
1.157     brouard  9835: #elif __linux
                   9836:       sprintf(pplotcmd, "xdg-open %s", optionfilehtm);
1.153     brouard  9837: #else
1.152     brouard  9838:       sprintf(pplotcmd, "%s", optionfilehtm);
1.153     brouard  9839: #endif
                   9840:       printf("Starting browser with: %s",pplotcmd);fflush(stdout);
                   9841:       system(pplotcmd);
1.126     brouard  9842:     }
                   9843:     else if (z[0] == 'g') system(plotcmd);
                   9844:     else if (z[0] == 'q') exit(0);
                   9845:   }
                   9846:   end:
                   9847:   while (z[0] != 'q') {
1.195     brouard  9848:     printf("\nType  q for exiting: "); fflush(stdout);
1.126     brouard  9849:     scanf("%s",z);
                   9850:   }
                   9851: }

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