Annotation of imach/src/imach.c, revision 1.212

1.212   ! brouard     1: /* $Id: imach.c,v 1.211 2015/11/21 12:41:11 brouard Exp $
1.126     brouard     2:   $State: Exp $
1.163     brouard     3:   $Log: imach.c,v $
1.212   ! brouard     4:   Revision 1.211  2015/11/21 12:41:11  brouard
        !             5:   Summary: 0.98r3 with some graph of projected cross-sectional
        !             6: 
        !             7:   Author: Nicolas Brouard
        !             8: 
1.211     brouard     9:   Revision 1.210  2015/11/18 17:41:20  brouard
                     10:   Summary: Start working on projected prevalences
                     11: 
1.210     brouard    12:   Revision 1.209  2015/11/17 22:12:03  brouard
                     13:   Summary: Adding ftolpl parameter
                     14:   Author: N Brouard
                     15: 
                     16:   We had difficulties to get smoothed confidence intervals. It was due
                     17:   to the period prevalence which wasn't computed accurately. The inner
                     18:   parameter ftolpl is now an outer parameter of the .imach parameter
                     19:   file after estepm. If ftolpl is small 1.e-4 and estepm too,
                     20:   computation are long.
                     21: 
1.209     brouard    22:   Revision 1.208  2015/11/17 14:31:57  brouard
                     23:   Summary: temporary
                     24: 
1.208     brouard    25:   Revision 1.207  2015/10/27 17:36:57  brouard
                     26:   *** empty log message ***
                     27: 
1.207     brouard    28:   Revision 1.206  2015/10/24 07:14:11  brouard
                     29:   *** empty log message ***
                     30: 
1.206     brouard    31:   Revision 1.205  2015/10/23 15:50:53  brouard
                     32:   Summary: 0.98r3 some clarification for graphs on likelihood contributions
                     33: 
1.205     brouard    34:   Revision 1.204  2015/10/01 16:20:26  brouard
                     35:   Summary: Some new graphs of contribution to likelihood
                     36: 
1.204     brouard    37:   Revision 1.203  2015/09/30 17:45:14  brouard
                     38:   Summary: looking at better estimation of the hessian
                     39: 
                     40:   Also a better criteria for convergence to the period prevalence And
                     41:   therefore adding the number of years needed to converge. (The
                     42:   prevalence in any alive state shold sum to one
                     43: 
1.203     brouard    44:   Revision 1.202  2015/09/22 19:45:16  brouard
                     45:   Summary: Adding some overall graph on contribution to likelihood. Might change
                     46: 
1.202     brouard    47:   Revision 1.201  2015/09/15 17:34:58  brouard
                     48:   Summary: 0.98r0
                     49: 
                     50:   - Some new graphs like suvival functions
                     51:   - Some bugs fixed like model=1+age+V2.
                     52: 
1.201     brouard    53:   Revision 1.200  2015/09/09 16:53:55  brouard
                     54:   Summary: Big bug thanks to Flavia
                     55: 
                     56:   Even model=1+age+V2. did not work anymore
                     57: 
1.200     brouard    58:   Revision 1.199  2015/09/07 14:09:23  brouard
                     59:   Summary: 0.98q6 changing default small png format for graph to vectorized svg.
                     60: 
1.199     brouard    61:   Revision 1.198  2015/09/03 07:14:39  brouard
                     62:   Summary: 0.98q5 Flavia
                     63: 
1.198     brouard    64:   Revision 1.197  2015/09/01 18:24:39  brouard
                     65:   *** empty log message ***
                     66: 
1.197     brouard    67:   Revision 1.196  2015/08/18 23:17:52  brouard
                     68:   Summary: 0.98q5
                     69: 
1.196     brouard    70:   Revision 1.195  2015/08/18 16:28:39  brouard
                     71:   Summary: Adding a hack for testing purpose
                     72: 
                     73:   After reading the title, ftol and model lines, if the comment line has
                     74:   a q, starting with #q, the answer at the end of the run is quit. It
                     75:   permits to run test files in batch with ctest. The former workaround was
                     76:   $ echo q | imach foo.imach
                     77: 
1.195     brouard    78:   Revision 1.194  2015/08/18 13:32:00  brouard
                     79:   Summary:  Adding error when the covariance matrix doesn't contain the exact number of lines required by the model line.
                     80: 
1.194     brouard    81:   Revision 1.193  2015/08/04 07:17:42  brouard
                     82:   Summary: 0.98q4
                     83: 
1.193     brouard    84:   Revision 1.192  2015/07/16 16:49:02  brouard
                     85:   Summary: Fixing some outputs
                     86: 
1.192     brouard    87:   Revision 1.191  2015/07/14 10:00:33  brouard
                     88:   Summary: Some fixes
                     89: 
1.191     brouard    90:   Revision 1.190  2015/05/05 08:51:13  brouard
                     91:   Summary: Adding digits in output parameters (7 digits instead of 6)
                     92: 
                     93:   Fix 1+age+.
                     94: 
1.190     brouard    95:   Revision 1.189  2015/04/30 14:45:16  brouard
                     96:   Summary: 0.98q2
                     97: 
1.189     brouard    98:   Revision 1.188  2015/04/30 08:27:53  brouard
                     99:   *** empty log message ***
                    100: 
1.188     brouard   101:   Revision 1.187  2015/04/29 09:11:15  brouard
                    102:   *** empty log message ***
                    103: 
1.187     brouard   104:   Revision 1.186  2015/04/23 12:01:52  brouard
                    105:   Summary: V1*age is working now, version 0.98q1
                    106: 
                    107:   Some codes had been disabled in order to simplify and Vn*age was
                    108:   working in the optimization phase, ie, giving correct MLE parameters,
                    109:   but, as usual, outputs were not correct and program core dumped.
                    110: 
1.186     brouard   111:   Revision 1.185  2015/03/11 13:26:42  brouard
                    112:   Summary: Inclusion of compile and links command line for Intel Compiler
                    113: 
1.185     brouard   114:   Revision 1.184  2015/03/11 11:52:39  brouard
                    115:   Summary: Back from Windows 8. Intel Compiler
                    116: 
1.184     brouard   117:   Revision 1.183  2015/03/10 20:34:32  brouard
                    118:   Summary: 0.98q0, trying with directest, mnbrak fixed
                    119: 
                    120:   We use directest instead of original Powell test; probably no
                    121:   incidence on the results, but better justifications;
                    122:   We fixed Numerical Recipes mnbrak routine which was wrong and gave
                    123:   wrong results.
                    124: 
1.183     brouard   125:   Revision 1.182  2015/02/12 08:19:57  brouard
                    126:   Summary: Trying to keep directest which seems simpler and more general
                    127:   Author: Nicolas Brouard
                    128: 
1.182     brouard   129:   Revision 1.181  2015/02/11 23:22:24  brouard
                    130:   Summary: Comments on Powell added
                    131: 
                    132:   Author:
                    133: 
1.181     brouard   134:   Revision 1.180  2015/02/11 17:33:45  brouard
                    135:   Summary: Finishing move from main to function (hpijx and prevalence_limit)
                    136: 
1.180     brouard   137:   Revision 1.179  2015/01/04 09:57:06  brouard
                    138:   Summary: back to OS/X
                    139: 
1.179     brouard   140:   Revision 1.178  2015/01/04 09:35:48  brouard
                    141:   *** empty log message ***
                    142: 
1.178     brouard   143:   Revision 1.177  2015/01/03 18:40:56  brouard
                    144:   Summary: Still testing ilc32 on OSX
                    145: 
1.177     brouard   146:   Revision 1.176  2015/01/03 16:45:04  brouard
                    147:   *** empty log message ***
                    148: 
1.176     brouard   149:   Revision 1.175  2015/01/03 16:33:42  brouard
                    150:   *** empty log message ***
                    151: 
1.175     brouard   152:   Revision 1.174  2015/01/03 16:15:49  brouard
                    153:   Summary: Still in cross-compilation
                    154: 
1.174     brouard   155:   Revision 1.173  2015/01/03 12:06:26  brouard
                    156:   Summary: trying to detect cross-compilation
                    157: 
1.173     brouard   158:   Revision 1.172  2014/12/27 12:07:47  brouard
                    159:   Summary: Back from Visual Studio and Intel, options for compiling for Windows XP
                    160: 
1.172     brouard   161:   Revision 1.171  2014/12/23 13:26:59  brouard
                    162:   Summary: Back from Visual C
                    163: 
                    164:   Still problem with utsname.h on Windows
                    165: 
1.171     brouard   166:   Revision 1.170  2014/12/23 11:17:12  brouard
                    167:   Summary: Cleaning some \%% back to %%
                    168: 
                    169:   The escape was mandatory for a specific compiler (which one?), but too many warnings.
                    170: 
1.170     brouard   171:   Revision 1.169  2014/12/22 23:08:31  brouard
                    172:   Summary: 0.98p
                    173: 
                    174:   Outputs some informations on compiler used, OS etc. Testing on different platforms.
                    175: 
1.169     brouard   176:   Revision 1.168  2014/12/22 15:17:42  brouard
1.170     brouard   177:   Summary: update
1.169     brouard   178: 
1.168     brouard   179:   Revision 1.167  2014/12/22 13:50:56  brouard
                    180:   Summary: Testing uname and compiler version and if compiled 32 or 64
                    181: 
                    182:   Testing on Linux 64
                    183: 
1.167     brouard   184:   Revision 1.166  2014/12/22 11:40:47  brouard
                    185:   *** empty log message ***
                    186: 
1.166     brouard   187:   Revision 1.165  2014/12/16 11:20:36  brouard
                    188:   Summary: After compiling on Visual C
                    189: 
                    190:   * imach.c (Module): Merging 1.61 to 1.162
                    191: 
1.165     brouard   192:   Revision 1.164  2014/12/16 10:52:11  brouard
                    193:   Summary: Merging with Visual C after suppressing some warnings for unused variables. Also fixing Saito's bug 0.98Xn
                    194: 
                    195:   * imach.c (Module): Merging 1.61 to 1.162
                    196: 
1.164     brouard   197:   Revision 1.163  2014/12/16 10:30:11  brouard
                    198:   * imach.c (Module): Merging 1.61 to 1.162
                    199: 
1.163     brouard   200:   Revision 1.162  2014/09/25 11:43:39  brouard
                    201:   Summary: temporary backup 0.99!
                    202: 
1.162     brouard   203:   Revision 1.1  2014/09/16 11:06:58  brouard
                    204:   Summary: With some code (wrong) for nlopt
                    205: 
                    206:   Author:
                    207: 
                    208:   Revision 1.161  2014/09/15 20:41:41  brouard
                    209:   Summary: Problem with macro SQR on Intel compiler
                    210: 
1.161     brouard   211:   Revision 1.160  2014/09/02 09:24:05  brouard
                    212:   *** empty log message ***
                    213: 
1.160     brouard   214:   Revision 1.159  2014/09/01 10:34:10  brouard
                    215:   Summary: WIN32
                    216:   Author: Brouard
                    217: 
1.159     brouard   218:   Revision 1.158  2014/08/27 17:11:51  brouard
                    219:   *** empty log message ***
                    220: 
1.158     brouard   221:   Revision 1.157  2014/08/27 16:26:55  brouard
                    222:   Summary: Preparing windows Visual studio version
                    223:   Author: Brouard
                    224: 
                    225:   In order to compile on Visual studio, time.h is now correct and time_t
                    226:   and tm struct should be used. difftime should be used but sometimes I
                    227:   just make the differences in raw time format (time(&now).
                    228:   Trying to suppress #ifdef LINUX
                    229:   Add xdg-open for __linux in order to open default browser.
                    230: 
1.157     brouard   231:   Revision 1.156  2014/08/25 20:10:10  brouard
                    232:   *** empty log message ***
                    233: 
1.156     brouard   234:   Revision 1.155  2014/08/25 18:32:34  brouard
                    235:   Summary: New compile, minor changes
                    236:   Author: Brouard
                    237: 
1.155     brouard   238:   Revision 1.154  2014/06/20 17:32:08  brouard
                    239:   Summary: Outputs now all graphs of convergence to period prevalence
                    240: 
1.154     brouard   241:   Revision 1.153  2014/06/20 16:45:46  brouard
                    242:   Summary: If 3 live state, convergence to period prevalence on same graph
                    243:   Author: Brouard
                    244: 
1.153     brouard   245:   Revision 1.152  2014/06/18 17:54:09  brouard
                    246:   Summary: open browser, use gnuplot on same dir than imach if not found in the path
                    247: 
1.152     brouard   248:   Revision 1.151  2014/06/18 16:43:30  brouard
                    249:   *** empty log message ***
                    250: 
1.151     brouard   251:   Revision 1.150  2014/06/18 16:42:35  brouard
                    252:   Summary: If gnuplot is not in the path try on same directory than imach binary (OSX)
                    253:   Author: brouard
                    254: 
1.150     brouard   255:   Revision 1.149  2014/06/18 15:51:14  brouard
                    256:   Summary: Some fixes in parameter files errors
                    257:   Author: Nicolas Brouard
                    258: 
1.149     brouard   259:   Revision 1.148  2014/06/17 17:38:48  brouard
                    260:   Summary: Nothing new
                    261:   Author: Brouard
                    262: 
                    263:   Just a new packaging for OS/X version 0.98nS
                    264: 
1.148     brouard   265:   Revision 1.147  2014/06/16 10:33:11  brouard
                    266:   *** empty log message ***
                    267: 
1.147     brouard   268:   Revision 1.146  2014/06/16 10:20:28  brouard
                    269:   Summary: Merge
                    270:   Author: Brouard
                    271: 
                    272:   Merge, before building revised version.
                    273: 
1.146     brouard   274:   Revision 1.145  2014/06/10 21:23:15  brouard
                    275:   Summary: Debugging with valgrind
                    276:   Author: Nicolas Brouard
                    277: 
                    278:   Lot of changes in order to output the results with some covariates
                    279:   After the Edimburgh REVES conference 2014, it seems mandatory to
                    280:   improve the code.
                    281:   No more memory valgrind error but a lot has to be done in order to
                    282:   continue the work of splitting the code into subroutines.
                    283:   Also, decodemodel has been improved. Tricode is still not
                    284:   optimal. nbcode should be improved. Documentation has been added in
                    285:   the source code.
                    286: 
1.144     brouard   287:   Revision 1.143  2014/01/26 09:45:38  brouard
                    288:   Summary: Version 0.98nR (to be improved, but gives same optimization results as 0.98k. Nice, promising
                    289: 
                    290:   * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
                    291:   (Module): Version 0.98nR Running ok, but output format still only works for three covariates.
                    292: 
1.143     brouard   293:   Revision 1.142  2014/01/26 03:57:36  brouard
                    294:   Summary: gnuplot changed plot w l 1 has to be changed to plot w l lt 2
                    295: 
                    296:   * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
                    297: 
1.142     brouard   298:   Revision 1.141  2014/01/26 02:42:01  brouard
                    299:   * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
                    300: 
1.141     brouard   301:   Revision 1.140  2011/09/02 10:37:54  brouard
                    302:   Summary: times.h is ok with mingw32 now.
                    303: 
1.140     brouard   304:   Revision 1.139  2010/06/14 07:50:17  brouard
                    305:   After the theft of my laptop, I probably lost some lines of codes which were not uploaded to the CVS tree.
                    306:   I remember having already fixed agemin agemax which are pointers now but not cvs saved.
                    307: 
1.139     brouard   308:   Revision 1.138  2010/04/30 18:19:40  brouard
                    309:   *** empty log message ***
                    310: 
1.138     brouard   311:   Revision 1.137  2010/04/29 18:11:38  brouard
                    312:   (Module): Checking covariates for more complex models
                    313:   than V1+V2. A lot of change to be done. Unstable.
                    314: 
1.137     brouard   315:   Revision 1.136  2010/04/26 20:30:53  brouard
                    316:   (Module): merging some libgsl code. Fixing computation
                    317:   of likelione (using inter/intrapolation if mle = 0) in order to
                    318:   get same likelihood as if mle=1.
                    319:   Some cleaning of code and comments added.
                    320: 
1.136     brouard   321:   Revision 1.135  2009/10/29 15:33:14  brouard
                    322:   (Module): Now imach stops if date of birth, at least year of birth, is not given. Some cleaning of the code.
                    323: 
1.135     brouard   324:   Revision 1.134  2009/10/29 13:18:53  brouard
                    325:   (Module): Now imach stops if date of birth, at least year of birth, is not given. Some cleaning of the code.
                    326: 
1.134     brouard   327:   Revision 1.133  2009/07/06 10:21:25  brouard
                    328:   just nforces
                    329: 
1.133     brouard   330:   Revision 1.132  2009/07/06 08:22:05  brouard
                    331:   Many tings
                    332: 
1.132     brouard   333:   Revision 1.131  2009/06/20 16:22:47  brouard
                    334:   Some dimensions resccaled
                    335: 
1.131     brouard   336:   Revision 1.130  2009/05/26 06:44:34  brouard
                    337:   (Module): Max Covariate is now set to 20 instead of 8. A
                    338:   lot of cleaning with variables initialized to 0. Trying to make
                    339:   V2+V3*age+V1+V4 strb=V3*age+V1+V4 working better.
                    340: 
1.130     brouard   341:   Revision 1.129  2007/08/31 13:49:27  lievre
                    342:   Modification of the way of exiting when the covariate is not binary in order to see on the window the error message before exiting
                    343: 
1.129     lievre    344:   Revision 1.128  2006/06/30 13:02:05  brouard
                    345:   (Module): Clarifications on computing e.j
                    346: 
1.128     brouard   347:   Revision 1.127  2006/04/28 18:11:50  brouard
                    348:   (Module): Yes the sum of survivors was wrong since
                    349:   imach-114 because nhstepm was no more computed in the age
                    350:   loop. Now we define nhstepma in the age loop.
                    351:   (Module): In order to speed up (in case of numerous covariates) we
                    352:   compute health expectancies (without variances) in a first step
                    353:   and then all the health expectancies with variances or standard
                    354:   deviation (needs data from the Hessian matrices) which slows the
                    355:   computation.
                    356:   In the future we should be able to stop the program is only health
                    357:   expectancies and graph are needed without standard deviations.
                    358: 
1.127     brouard   359:   Revision 1.126  2006/04/28 17:23:28  brouard
                    360:   (Module): Yes the sum of survivors was wrong since
                    361:   imach-114 because nhstepm was no more computed in the age
                    362:   loop. Now we define nhstepma in the age loop.
                    363:   Version 0.98h
                    364: 
1.126     brouard   365:   Revision 1.125  2006/04/04 15:20:31  lievre
                    366:   Errors in calculation of health expectancies. Age was not initialized.
                    367:   Forecasting file added.
                    368: 
                    369:   Revision 1.124  2006/03/22 17:13:53  lievre
                    370:   Parameters are printed with %lf instead of %f (more numbers after the comma).
                    371:   The log-likelihood is printed in the log file
                    372: 
                    373:   Revision 1.123  2006/03/20 10:52:43  brouard
                    374:   * imach.c (Module): <title> changed, corresponds to .htm file
                    375:   name. <head> headers where missing.
                    376: 
                    377:   * imach.c (Module): Weights can have a decimal point as for
                    378:   English (a comma might work with a correct LC_NUMERIC environment,
                    379:   otherwise the weight is truncated).
                    380:   Modification of warning when the covariates values are not 0 or
                    381:   1.
                    382:   Version 0.98g
                    383: 
                    384:   Revision 1.122  2006/03/20 09:45:41  brouard
                    385:   (Module): Weights can have a decimal point as for
                    386:   English (a comma might work with a correct LC_NUMERIC environment,
                    387:   otherwise the weight is truncated).
                    388:   Modification of warning when the covariates values are not 0 or
                    389:   1.
                    390:   Version 0.98g
                    391: 
                    392:   Revision 1.121  2006/03/16 17:45:01  lievre
                    393:   * imach.c (Module): Comments concerning covariates added
                    394: 
                    395:   * imach.c (Module): refinements in the computation of lli if
                    396:   status=-2 in order to have more reliable computation if stepm is
                    397:   not 1 month. Version 0.98f
                    398: 
                    399:   Revision 1.120  2006/03/16 15:10:38  lievre
                    400:   (Module): refinements in the computation of lli if
                    401:   status=-2 in order to have more reliable computation if stepm is
                    402:   not 1 month. Version 0.98f
                    403: 
                    404:   Revision 1.119  2006/03/15 17:42:26  brouard
                    405:   (Module): Bug if status = -2, the loglikelihood was
                    406:   computed as likelihood omitting the logarithm. Version O.98e
                    407: 
                    408:   Revision 1.118  2006/03/14 18:20:07  brouard
                    409:   (Module): varevsij Comments added explaining the second
                    410:   table of variances if popbased=1 .
                    411:   (Module): Covariances of eij, ekl added, graphs fixed, new html link.
                    412:   (Module): Function pstamp added
                    413:   (Module): Version 0.98d
                    414: 
                    415:   Revision 1.117  2006/03/14 17:16:22  brouard
                    416:   (Module): varevsij Comments added explaining the second
                    417:   table of variances if popbased=1 .
                    418:   (Module): Covariances of eij, ekl added, graphs fixed, new html link.
                    419:   (Module): Function pstamp added
                    420:   (Module): Version 0.98d
                    421: 
                    422:   Revision 1.116  2006/03/06 10:29:27  brouard
                    423:   (Module): Variance-covariance wrong links and
                    424:   varian-covariance of ej. is needed (Saito).
                    425: 
                    426:   Revision 1.115  2006/02/27 12:17:45  brouard
                    427:   (Module): One freematrix added in mlikeli! 0.98c
                    428: 
                    429:   Revision 1.114  2006/02/26 12:57:58  brouard
                    430:   (Module): Some improvements in processing parameter
                    431:   filename with strsep.
                    432: 
                    433:   Revision 1.113  2006/02/24 14:20:24  brouard
                    434:   (Module): Memory leaks checks with valgrind and:
                    435:   datafile was not closed, some imatrix were not freed and on matrix
                    436:   allocation too.
                    437: 
                    438:   Revision 1.112  2006/01/30 09:55:26  brouard
                    439:   (Module): Back to gnuplot.exe instead of wgnuplot.exe
                    440: 
                    441:   Revision 1.111  2006/01/25 20:38:18  brouard
                    442:   (Module): Lots of cleaning and bugs added (Gompertz)
                    443:   (Module): Comments can be added in data file. Missing date values
                    444:   can be a simple dot '.'.
                    445: 
                    446:   Revision 1.110  2006/01/25 00:51:50  brouard
                    447:   (Module): Lots of cleaning and bugs added (Gompertz)
                    448: 
                    449:   Revision 1.109  2006/01/24 19:37:15  brouard
                    450:   (Module): Comments (lines starting with a #) are allowed in data.
                    451: 
                    452:   Revision 1.108  2006/01/19 18:05:42  lievre
                    453:   Gnuplot problem appeared...
                    454:   To be fixed
                    455: 
                    456:   Revision 1.107  2006/01/19 16:20:37  brouard
                    457:   Test existence of gnuplot in imach path
                    458: 
                    459:   Revision 1.106  2006/01/19 13:24:36  brouard
                    460:   Some cleaning and links added in html output
                    461: 
                    462:   Revision 1.105  2006/01/05 20:23:19  lievre
                    463:   *** empty log message ***
                    464: 
                    465:   Revision 1.104  2005/09/30 16:11:43  lievre
                    466:   (Module): sump fixed, loop imx fixed, and simplifications.
                    467:   (Module): If the status is missing at the last wave but we know
                    468:   that the person is alive, then we can code his/her status as -2
                    469:   (instead of missing=-1 in earlier versions) and his/her
                    470:   contributions to the likelihood is 1 - Prob of dying from last
                    471:   health status (= 1-p13= p11+p12 in the easiest case of somebody in
                    472:   the healthy state at last known wave). Version is 0.98
                    473: 
                    474:   Revision 1.103  2005/09/30 15:54:49  lievre
                    475:   (Module): sump fixed, loop imx fixed, and simplifications.
                    476: 
                    477:   Revision 1.102  2004/09/15 17:31:30  brouard
                    478:   Add the possibility to read data file including tab characters.
                    479: 
                    480:   Revision 1.101  2004/09/15 10:38:38  brouard
                    481:   Fix on curr_time
                    482: 
                    483:   Revision 1.100  2004/07/12 18:29:06  brouard
                    484:   Add version for Mac OS X. Just define UNIX in Makefile
                    485: 
                    486:   Revision 1.99  2004/06/05 08:57:40  brouard
                    487:   *** empty log message ***
                    488: 
                    489:   Revision 1.98  2004/05/16 15:05:56  brouard
                    490:   New version 0.97 . First attempt to estimate force of mortality
                    491:   directly from the data i.e. without the need of knowing the health
                    492:   state at each age, but using a Gompertz model: log u =a + b*age .
                    493:   This is the basic analysis of mortality and should be done before any
                    494:   other analysis, in order to test if the mortality estimated from the
                    495:   cross-longitudinal survey is different from the mortality estimated
                    496:   from other sources like vital statistic data.
                    497: 
                    498:   The same imach parameter file can be used but the option for mle should be -3.
                    499: 
1.133     brouard   500:   Agnès, who wrote this part of the code, tried to keep most of the
1.126     brouard   501:   former routines in order to include the new code within the former code.
                    502: 
                    503:   The output is very simple: only an estimate of the intercept and of
                    504:   the slope with 95% confident intervals.
                    505: 
                    506:   Current limitations:
                    507:   A) Even if you enter covariates, i.e. with the
                    508:   model= V1+V2 equation for example, the programm does only estimate a unique global model without covariates.
                    509:   B) There is no computation of Life Expectancy nor Life Table.
                    510: 
                    511:   Revision 1.97  2004/02/20 13:25:42  lievre
                    512:   Version 0.96d. Population forecasting command line is (temporarily)
                    513:   suppressed.
                    514: 
                    515:   Revision 1.96  2003/07/15 15:38:55  brouard
                    516:   * imach.c (Repository): Errors in subdirf, 2, 3 while printing tmpout is
                    517:   rewritten within the same printf. Workaround: many printfs.
                    518: 
                    519:   Revision 1.95  2003/07/08 07:54:34  brouard
                    520:   * imach.c (Repository):
                    521:   (Repository): Using imachwizard code to output a more meaningful covariance
                    522:   matrix (cov(a12,c31) instead of numbers.
                    523: 
                    524:   Revision 1.94  2003/06/27 13:00:02  brouard
                    525:   Just cleaning
                    526: 
                    527:   Revision 1.93  2003/06/25 16:33:55  brouard
                    528:   (Module): On windows (cygwin) function asctime_r doesn't
                    529:   exist so I changed back to asctime which exists.
                    530:   (Module): Version 0.96b
                    531: 
                    532:   Revision 1.92  2003/06/25 16:30:45  brouard
                    533:   (Module): On windows (cygwin) function asctime_r doesn't
                    534:   exist so I changed back to asctime which exists.
                    535: 
                    536:   Revision 1.91  2003/06/25 15:30:29  brouard
                    537:   * imach.c (Repository): Duplicated warning errors corrected.
                    538:   (Repository): Elapsed time after each iteration is now output. It
                    539:   helps to forecast when convergence will be reached. Elapsed time
                    540:   is stamped in powell.  We created a new html file for the graphs
                    541:   concerning matrix of covariance. It has extension -cov.htm.
                    542: 
                    543:   Revision 1.90  2003/06/24 12:34:15  brouard
                    544:   (Module): Some bugs corrected for windows. Also, when
                    545:   mle=-1 a template is output in file "or"mypar.txt with the design
                    546:   of the covariance matrix to be input.
                    547: 
                    548:   Revision 1.89  2003/06/24 12:30:52  brouard
                    549:   (Module): Some bugs corrected for windows. Also, when
                    550:   mle=-1 a template is output in file "or"mypar.txt with the design
                    551:   of the covariance matrix to be input.
                    552: 
                    553:   Revision 1.88  2003/06/23 17:54:56  brouard
                    554:   * 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.
                    555: 
                    556:   Revision 1.87  2003/06/18 12:26:01  brouard
                    557:   Version 0.96
                    558: 
                    559:   Revision 1.86  2003/06/17 20:04:08  brouard
                    560:   (Module): Change position of html and gnuplot routines and added
                    561:   routine fileappend.
                    562: 
                    563:   Revision 1.85  2003/06/17 13:12:43  brouard
                    564:   * imach.c (Repository): Check when date of death was earlier that
                    565:   current date of interview. It may happen when the death was just
                    566:   prior to the death. In this case, dh was negative and likelihood
                    567:   was wrong (infinity). We still send an "Error" but patch by
                    568:   assuming that the date of death was just one stepm after the
                    569:   interview.
                    570:   (Repository): Because some people have very long ID (first column)
                    571:   we changed int to long in num[] and we added a new lvector for
                    572:   memory allocation. But we also truncated to 8 characters (left
                    573:   truncation)
                    574:   (Repository): No more line truncation errors.
                    575: 
                    576:   Revision 1.84  2003/06/13 21:44:43  brouard
                    577:   * imach.c (Repository): Replace "freqsummary" at a correct
                    578:   place. It differs from routine "prevalence" which may be called
                    579:   many times. Probs is memory consuming and must be used with
                    580:   parcimony.
                    581:   Version 0.95a3 (should output exactly the same maximization than 0.8a2)
                    582: 
                    583:   Revision 1.83  2003/06/10 13:39:11  lievre
                    584:   *** empty log message ***
                    585: 
                    586:   Revision 1.82  2003/06/05 15:57:20  brouard
                    587:   Add log in  imach.c and  fullversion number is now printed.
                    588: 
                    589: */
                    590: /*
                    591:    Interpolated Markov Chain
                    592: 
                    593:   Short summary of the programme:
                    594:   
                    595:   This program computes Healthy Life Expectancies from
                    596:   cross-longitudinal data. Cross-longitudinal data consist in: -1- a
                    597:   first survey ("cross") where individuals from different ages are
                    598:   interviewed on their health status or degree of disability (in the
                    599:   case of a health survey which is our main interest) -2- at least a
                    600:   second wave of interviews ("longitudinal") which measure each change
                    601:   (if any) in individual health status.  Health expectancies are
                    602:   computed from the time spent in each health state according to a
                    603:   model. More health states you consider, more time is necessary to reach the
                    604:   Maximum Likelihood of the parameters involved in the model.  The
                    605:   simplest model is the multinomial logistic model where pij is the
                    606:   probability to be observed in state j at the second wave
                    607:   conditional to be observed in state i at the first wave. Therefore
                    608:   the model is: log(pij/pii)= aij + bij*age+ cij*sex + etc , where
                    609:   'age' is age and 'sex' is a covariate. If you want to have a more
                    610:   complex model than "constant and age", you should modify the program
                    611:   where the markup *Covariates have to be included here again* invites
                    612:   you to do it.  More covariates you add, slower the
                    613:   convergence.
                    614: 
                    615:   The advantage of this computer programme, compared to a simple
                    616:   multinomial logistic model, is clear when the delay between waves is not
                    617:   identical for each individual. Also, if a individual missed an
                    618:   intermediate interview, the information is lost, but taken into
                    619:   account using an interpolation or extrapolation.  
                    620: 
                    621:   hPijx is the probability to be observed in state i at age x+h
                    622:   conditional to the observed state i at age x. The delay 'h' can be
                    623:   split into an exact number (nh*stepm) of unobserved intermediate
                    624:   states. This elementary transition (by month, quarter,
                    625:   semester or year) is modelled as a multinomial logistic.  The hPx
                    626:   matrix is simply the matrix product of nh*stepm elementary matrices
                    627:   and the contribution of each individual to the likelihood is simply
                    628:   hPijx.
                    629: 
                    630:   Also this programme outputs the covariance matrix of the parameters but also
                    631:   of the life expectancies. It also computes the period (stable) prevalence. 
                    632:   
1.133     brouard   633:   Authors: Nicolas Brouard (brouard@ined.fr) and Agnès Lièvre (lievre@ined.fr).
                    634:            Institut national d'études démographiques, Paris.
1.126     brouard   635:   This software have been partly granted by Euro-REVES, a concerted action
                    636:   from the European Union.
                    637:   It is copyrighted identically to a GNU software product, ie programme and
                    638:   software can be distributed freely for non commercial use. Latest version
                    639:   can be accessed at http://euroreves.ined.fr/imach .
                    640: 
                    641:   Help to debug: LD_PRELOAD=/usr/local/lib/libnjamd.so ./imach foo.imach
                    642:   or better on gdb : set env LD_PRELOAD=/usr/local/lib/libnjamd.so
                    643:   
                    644:   **********************************************************************/
                    645: /*
                    646:   main
                    647:   read parameterfile
                    648:   read datafile
                    649:   concatwav
                    650:   freqsummary
                    651:   if (mle >= 1)
                    652:     mlikeli
                    653:   print results files
                    654:   if mle==1 
                    655:      computes hessian
                    656:   read end of parameter file: agemin, agemax, bage, fage, estepm
                    657:       begin-prev-date,...
                    658:   open gnuplot file
                    659:   open html file
1.145     brouard   660:   period (stable) prevalence      | pl_nom    1-1 2-2 etc by covariate
                    661:    for age prevalim()             | #****** V1=0  V2=1  V3=1  V4=0 ******
                    662:                                   | 65 1 0 2 1 3 1 4 0  0.96326 0.03674
                    663:     freexexit2 possible for memory heap.
                    664: 
                    665:   h Pij x                         | pij_nom  ficrestpij
                    666:    # Cov Agex agex+h hpijx with i,j= 1-1 1-2     1-3     2-1     2-2     2-3
                    667:        1  85   85    1.00000             0.00000 0.00000 0.00000 1.00000 0.00000
                    668:        1  85   86    0.68299             0.22291 0.09410 0.71093 0.00000 0.28907
                    669: 
                    670:        1  65   99    0.00364             0.00322 0.99314 0.00350 0.00310 0.99340
                    671:        1  65  100    0.00214             0.00204 0.99581 0.00206 0.00196 0.99597
                    672:   variance of p one-step probabilities varprob  | prob_nom   ficresprob #One-step probabilities and stand. devi in ()
                    673:    Standard deviation of one-step probabilities | probcor_nom   ficresprobcor #One-step probabilities and correlation matrix
                    674:    Matrix of variance covariance of one-step probabilities |  probcov_nom ficresprobcov #One-step probabilities and covariance matrix
                    675: 
1.126     brouard   676:   forecasting if prevfcast==1 prevforecast call prevalence()
                    677:   health expectancies
                    678:   Variance-covariance of DFLE
                    679:   prevalence()
                    680:    movingaverage()
                    681:   varevsij() 
                    682:   if popbased==1 varevsij(,popbased)
                    683:   total life expectancies
                    684:   Variance of period (stable) prevalence
                    685:  end
                    686: */
                    687: 
1.187     brouard   688: /* #define DEBUG */
                    689: /* #define DEBUGBRENT */
1.203     brouard   690: /* #define DEBUGLINMIN */
                    691: /* #define DEBUGHESS */
                    692: #define DEBUGHESSIJ
                    693: /* #define LINMINORIGINAL  /\* Don't use loop on scale in linmin (accepting nan)*\/ */
1.165     brouard   694: #define POWELL /* Instead of NLOPT */
1.192     brouard   695: #define POWELLF1F3 /* Skip test */
1.186     brouard   696: /* #define POWELLORIGINAL /\* Don't use Directest to decide new direction but original Powell test *\/ */
                    697: /* #define MNBRAKORIGINAL /\* Don't use mnbrak fix *\/ */
1.126     brouard   698: 
                    699: #include <math.h>
                    700: #include <stdio.h>
                    701: #include <stdlib.h>
                    702: #include <string.h>
1.159     brouard   703: 
                    704: #ifdef _WIN32
                    705: #include <io.h>
1.172     brouard   706: #include <windows.h>
                    707: #include <tchar.h>
1.159     brouard   708: #else
1.126     brouard   709: #include <unistd.h>
1.159     brouard   710: #endif
1.126     brouard   711: 
                    712: #include <limits.h>
                    713: #include <sys/types.h>
1.171     brouard   714: 
                    715: #if defined(__GNUC__)
                    716: #include <sys/utsname.h> /* Doesn't work on Windows */
                    717: #endif
                    718: 
1.126     brouard   719: #include <sys/stat.h>
                    720: #include <errno.h>
1.159     brouard   721: /* extern int errno; */
1.126     brouard   722: 
1.157     brouard   723: /* #ifdef LINUX */
                    724: /* #include <time.h> */
                    725: /* #include "timeval.h" */
                    726: /* #else */
                    727: /* #include <sys/time.h> */
                    728: /* #endif */
                    729: 
1.126     brouard   730: #include <time.h>
                    731: 
1.136     brouard   732: #ifdef GSL
                    733: #include <gsl/gsl_errno.h>
                    734: #include <gsl/gsl_multimin.h>
                    735: #endif
                    736: 
1.167     brouard   737: 
1.162     brouard   738: #ifdef NLOPT
                    739: #include <nlopt.h>
                    740: typedef struct {
                    741:   double (* function)(double [] );
                    742: } myfunc_data ;
                    743: #endif
                    744: 
1.126     brouard   745: /* #include <libintl.h> */
                    746: /* #define _(String) gettext (String) */
                    747: 
1.141     brouard   748: #define MAXLINE 1024 /* Was 256. Overflow with 312 with 2 states and 4 covariates. Should be ok */
1.126     brouard   749: 
                    750: #define GNUPLOTPROGRAM "gnuplot"
                    751: /*#define GNUPLOTPROGRAM "..\\gp37mgw\\wgnuplot"*/
                    752: #define FILENAMELENGTH 132
                    753: 
                    754: #define        GLOCK_ERROR_NOPATH              -1      /* empty path */
                    755: #define        GLOCK_ERROR_GETCWD              -2      /* cannot get cwd */
                    756: 
1.144     brouard   757: #define MAXPARM 128 /**< Maximum number of parameters for the optimization */
                    758: #define NPARMAX 64 /**< (nlstate+ndeath-1)*nlstate*ncovmodel */
1.126     brouard   759: 
                    760: #define NINTERVMAX 8
1.144     brouard   761: #define NLSTATEMAX 8 /**< Maximum number of live states (for func) */
                    762: #define NDEATHMAX 8 /**< Maximum number of dead states (for func) */
                    763: #define NCOVMAX 20 /**< Maximum number of covariates, including generated covariates V1*V2 */
1.197     brouard   764: #define codtabm(h,k)  (1 & (h-1) >> (k-1))+1
1.211     brouard   765: /*#define decodtabm(h,k,cptcoveff)= (h <= (1<<cptcoveff)?(((h-1) >> (k-1)) & 1) +1 : -1)*/
                    766: #define decodtabm(h,k,cptcoveff) (((h-1) >> (k-1)) & 1) +1 
1.126     brouard   767: #define MAXN 20000
1.144     brouard   768: #define YEARM 12. /**< Number of months per year */
1.126     brouard   769: #define AGESUP 130
                    770: #define AGEBASE 40
1.194     brouard   771: #define AGEOVERFLOW 1.e20
1.164     brouard   772: #define AGEGOMP 10 /**< Minimal age for Gompertz adjustment */
1.157     brouard   773: #ifdef _WIN32
                    774: #define DIRSEPARATOR '\\'
                    775: #define CHARSEPARATOR "\\"
                    776: #define ODIRSEPARATOR '/'
                    777: #else
1.126     brouard   778: #define DIRSEPARATOR '/'
                    779: #define CHARSEPARATOR "/"
                    780: #define ODIRSEPARATOR '\\'
                    781: #endif
                    782: 
1.212   ! brouard   783: /* $Id: imach.c,v 1.211 2015/11/21 12:41:11 brouard Exp $ */
1.126     brouard   784: /* $State: Exp $ */
1.196     brouard   785: #include "version.h"
                    786: char version[]=__IMACH_VERSION__;
1.204     brouard   787: 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";
1.212   ! brouard   788: char fullversion[]="$Revision: 1.211 $ $Date: 2015/11/21 12:41:11 $"; 
1.126     brouard   789: char strstart[80];
                    790: char optionfilext[10], optionfilefiname[FILENAMELENGTH];
1.130     brouard   791: int erreur=0, nberr=0, nbwarn=0; /* Error number, number of errors number of warnings  */
1.187     brouard   792: int nagesqr=0, nforce=0; /* nagesqr=1 if model is including age*age, number of forces */
1.145     brouard   793: /* Number of covariates model=V2+V1+ V3*age+V2*V4 */
                    794: int cptcovn=0; /**< cptcovn number of covariates added in the model (excepting constant and age and age*product) */
                    795: int cptcovt=0; /**< cptcovt number of covariates added in the model (excepting constant and age) */
                    796: int cptcovs=0; /**< cptcovs number of simple covariates V2+V1 =2 */
                    797: int cptcovage=0; /**< Number of covariates with age: V3*age only =1 */
                    798: int cptcovprodnoage=0; /**< Number of covariate products without age */   
                    799: int cptcoveff=0; /* Total number of covariates to vary for printing results */
                    800: int cptcov=0; /* Working variable */
1.126     brouard   801: int npar=NPARMAX;
                    802: int nlstate=2; /* Number of live states */
                    803: int ndeath=1; /* Number of dead states */
1.130     brouard   804: int ncovmodel=0, ncovcol=0;     /* Total number of covariables including constant a12*1 +b12*x ncovmodel=2 */
1.126     brouard   805: int popbased=0;
                    806: 
                    807: int *wav; /* Number of waves for this individuual 0 is possible */
1.130     brouard   808: int maxwav=0; /* Maxim number of waves */
                    809: int jmin=0, jmax=0; /* min, max spacing between 2 waves */
                    810: int ijmin=0, ijmax=0; /* Individuals having jmin and jmax */ 
                    811: int gipmx=0, gsw=0; /* Global variables on the number of contributions 
1.126     brouard   812:                   to the likelihood and the sum of weights (done by funcone)*/
1.130     brouard   813: int mle=1, weightopt=0;
1.126     brouard   814: int **mw; /* mw[mi][i] is number of the mi wave for this individual */
                    815: int **dh; /* dh[mi][i] is number of steps between mi,mi+1 for this individual */
                    816: int **bh; /* bh[mi][i] is the bias (+ or -) for this individual if the delay between
                    817:           * wave mi and wave mi+1 is not an exact multiple of stepm. */
1.162     brouard   818: int countcallfunc=0;  /* Count the number of calls to func */
1.130     brouard   819: double jmean=1; /* Mean space between 2 waves */
1.145     brouard   820: double **matprod2(); /* test */
1.126     brouard   821: double **oldm, **newm, **savm; /* Working pointers to matrices */
                    822: double **oldms, **newms, **savms; /* Fixed working pointers to matrices */
1.136     brouard   823: /*FILE *fic ; */ /* Used in readdata only */
                    824: FILE *ficpar, *ficparo,*ficres, *ficresp, *ficrespl, *ficrespij, *ficrest,*ficresf,*ficrespop;
1.126     brouard   825: FILE *ficlog, *ficrespow;
1.130     brouard   826: int globpr=0; /* Global variable for printing or not */
1.126     brouard   827: double fretone; /* Only one call to likelihood */
1.130     brouard   828: long ipmx=0; /* Number of contributions */
1.126     brouard   829: double sw; /* Sum of weights */
                    830: char filerespow[FILENAMELENGTH];
                    831: char fileresilk[FILENAMELENGTH]; /* File of individual contributions to the likelihood */
                    832: FILE *ficresilk;
                    833: FILE *ficgp,*ficresprob,*ficpop, *ficresprobcov, *ficresprobcor;
                    834: FILE *ficresprobmorprev;
                    835: FILE *fichtm, *fichtmcov; /* Html File */
                    836: FILE *ficreseij;
                    837: char filerese[FILENAMELENGTH];
                    838: FILE *ficresstdeij;
                    839: char fileresstde[FILENAMELENGTH];
                    840: FILE *ficrescveij;
                    841: char filerescve[FILENAMELENGTH];
                    842: FILE  *ficresvij;
                    843: char fileresv[FILENAMELENGTH];
                    844: FILE  *ficresvpl;
                    845: char fileresvpl[FILENAMELENGTH];
                    846: char title[MAXLINE];
                    847: char optionfile[FILENAMELENGTH], datafile[FILENAMELENGTH],  filerespl[FILENAMELENGTH];
                    848: char plotcmd[FILENAMELENGTH], pplotcmd[FILENAMELENGTH];
                    849: char tmpout[FILENAMELENGTH],  tmpout2[FILENAMELENGTH]; 
                    850: char command[FILENAMELENGTH];
                    851: int  outcmd=0;
                    852: 
                    853: char fileres[FILENAMELENGTH], filerespij[FILENAMELENGTH], filereso[FILENAMELENGTH], rfileres[FILENAMELENGTH];
1.202     brouard   854: char fileresu[FILENAMELENGTH]; /* fileres without r in front */
1.126     brouard   855: char filelog[FILENAMELENGTH]; /* Log file */
                    856: char filerest[FILENAMELENGTH];
                    857: char fileregp[FILENAMELENGTH];
                    858: char popfile[FILENAMELENGTH];
                    859: 
                    860: char optionfilegnuplot[FILENAMELENGTH], optionfilehtm[FILENAMELENGTH], optionfilehtmcov[FILENAMELENGTH] ;
                    861: 
1.157     brouard   862: /* struct timeval start_time, end_time, curr_time, last_time, forecast_time; */
                    863: /* struct timezone tzp; */
                    864: /* extern int gettimeofday(); */
                    865: struct tm tml, *gmtime(), *localtime();
                    866: 
                    867: extern time_t time();
                    868: 
                    869: struct tm start_time, end_time, curr_time, last_time, forecast_time;
                    870: time_t  rstart_time, rend_time, rcurr_time, rlast_time, rforecast_time; /* raw time */
                    871: struct tm tm;
                    872: 
1.126     brouard   873: char strcurr[80], strfor[80];
                    874: 
                    875: char *endptr;
                    876: long lval;
                    877: double dval;
                    878: 
                    879: #define NR_END 1
                    880: #define FREE_ARG char*
                    881: #define FTOL 1.0e-10
                    882: 
                    883: #define NRANSI 
                    884: #define ITMAX 200 
                    885: 
                    886: #define TOL 2.0e-4 
                    887: 
                    888: #define CGOLD 0.3819660 
                    889: #define ZEPS 1.0e-10 
                    890: #define SHFT(a,b,c,d) (a)=(b);(b)=(c);(c)=(d); 
                    891: 
                    892: #define GOLD 1.618034 
                    893: #define GLIMIT 100.0 
                    894: #define TINY 1.0e-20 
                    895: 
                    896: static double maxarg1,maxarg2;
                    897: #define FMAX(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)>(maxarg2)? (maxarg1):(maxarg2))
                    898: #define FMIN(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)<(maxarg2)? (maxarg1):(maxarg2))
                    899:   
                    900: #define SIGN(a,b) ((b)>0.0 ? fabs(a) : -fabs(a))
                    901: #define rint(a) floor(a+0.5)
1.166     brouard   902: /* http://www.thphys.uni-heidelberg.de/~robbers/cmbeasy/doc/html/myutils_8h-source.html */
1.183     brouard   903: #define mytinydouble 1.0e-16
1.166     brouard   904: /* #define DEQUAL(a,b) (fabs((a)-(b))<mytinydouble) */
                    905: /* http://www.thphys.uni-heidelberg.de/~robbers/cmbeasy/doc/html/mynrutils_8h-source.html */
                    906: /* static double dsqrarg; */
                    907: /* #define DSQR(a) (DEQUAL((dsqrarg=(a)),0.0) ? 0.0 : dsqrarg*dsqrarg) */
1.126     brouard   908: static double sqrarg;
                    909: #define SQR(a) ((sqrarg=(a)) == 0.0 ? 0.0 :sqrarg*sqrarg)
                    910: #define SWAP(a,b) {temp=(a);(a)=(b);(b)=temp;} 
                    911: int agegomp= AGEGOMP;
                    912: 
                    913: int imx; 
                    914: int stepm=1;
                    915: /* Stepm, step in month: minimum step interpolation*/
                    916: 
                    917: int estepm;
                    918: /* Estepm, step in month to interpolate survival function in order to approximate Life Expectancy*/
                    919: 
                    920: int m,nb;
                    921: long *num;
1.197     brouard   922: int firstpass=0, lastpass=4,*cod, *cens;
1.192     brouard   923: int *ncodemax;  /* ncodemax[j]= Number of modalities of the j th
                    924:                   covariate for which somebody answered excluding 
                    925:                   undefined. Usually 2: 0 and 1. */
                    926: int *ncodemaxwundef;  /* ncodemax[j]= Number of modalities of the j th
                    927:                             covariate for which somebody answered including 
                    928:                             undefined. Usually 3: -1, 0 and 1. */
1.126     brouard   929: double **agev,*moisnais, *annais, *moisdc, *andc,**mint, **anint;
                    930: double **pmmij, ***probs;
                    931: double *ageexmed,*agecens;
                    932: double dateintmean=0;
                    933: 
                    934: double *weight;
                    935: int **s; /* Status */
1.141     brouard   936: double *agedc;
1.145     brouard   937: double  **covar; /**< covar[j,i], value of jth covariate for individual i,
1.141     brouard   938:                  * covar=matrix(0,NCOVMAX,1,n); 
1.187     brouard   939:                  * cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*age; */
1.141     brouard   940: double  idx; 
                    941: int **nbcode, *Tvar; /**< model=V2 => Tvar[1]= 2 */
1.197     brouard   942: int *Tage;
1.145     brouard   943: int *Ndum; /** Freq of modality (tricode */
1.200     brouard   944: /* int **codtab;*/ /**< codtab=imatrix(1,100,1,10); */
1.141     brouard   945: int **Tvard, *Tprod, cptcovprod, *Tvaraff;
1.126     brouard   946: double *lsurv, *lpop, *tpop;
                    947: 
1.143     brouard   948: double ftol=FTOL; /**< Tolerance for computing Max Likelihood */
                    949: double ftolhess; /**< Tolerance for computing hessian */
1.126     brouard   950: 
                    951: /**************** split *************************/
                    952: static int split( char *path, char *dirc, char *name, char *ext, char *finame )
                    953: {
                    954:   /* From a file name with (full) path (either Unix or Windows) we extract the directory (dirc)
                    955:      the name of the file (name), its extension only (ext) and its first part of the name (finame)
                    956:   */ 
                    957:   char *ss;                            /* pointer */
1.186     brouard   958:   int  l1=0, l2=0;                             /* length counters */
1.126     brouard   959: 
                    960:   l1 = strlen(path );                  /* length of path */
                    961:   if ( l1 == 0 ) return( GLOCK_ERROR_NOPATH );
                    962:   ss= strrchr( path, DIRSEPARATOR );           /* find last / */
                    963:   if ( ss == NULL ) {                  /* no directory, so determine current directory */
                    964:     strcpy( name, path );              /* we got the fullname name because no directory */
                    965:     /*if(strrchr(path, ODIRSEPARATOR )==NULL)
                    966:       printf("Warning you should use %s as a separator\n",DIRSEPARATOR);*/
                    967:     /* get current working directory */
                    968:     /*    extern  char* getcwd ( char *buf , int len);*/
1.184     brouard   969: #ifdef WIN32
                    970:     if (_getcwd( dirc, FILENAME_MAX ) == NULL ) {
                    971: #else
                    972:        if (getcwd(dirc, FILENAME_MAX) == NULL) {
                    973: #endif
1.126     brouard   974:       return( GLOCK_ERROR_GETCWD );
                    975:     }
                    976:     /* got dirc from getcwd*/
                    977:     printf(" DIRC = %s \n",dirc);
1.205     brouard   978:   } else {                             /* strip directory from path */
1.126     brouard   979:     ss++;                              /* after this, the filename */
                    980:     l2 = strlen( ss );                 /* length of filename */
                    981:     if ( l2 == 0 ) return( GLOCK_ERROR_NOPATH );
                    982:     strcpy( name, ss );                /* save file name */
                    983:     strncpy( dirc, path, l1 - l2 );    /* now the directory */
1.186     brouard   984:     dirc[l1-l2] = '\0';                        /* add zero */
1.126     brouard   985:     printf(" DIRC2 = %s \n",dirc);
                    986:   }
                    987:   /* We add a separator at the end of dirc if not exists */
                    988:   l1 = strlen( dirc );                 /* length of directory */
                    989:   if( dirc[l1-1] != DIRSEPARATOR ){
                    990:     dirc[l1] =  DIRSEPARATOR;
                    991:     dirc[l1+1] = 0; 
                    992:     printf(" DIRC3 = %s \n",dirc);
                    993:   }
                    994:   ss = strrchr( name, '.' );           /* find last / */
                    995:   if (ss >0){
                    996:     ss++;
                    997:     strcpy(ext,ss);                    /* save extension */
                    998:     l1= strlen( name);
                    999:     l2= strlen(ss)+1;
                   1000:     strncpy( finame, name, l1-l2);
                   1001:     finame[l1-l2]= 0;
                   1002:   }
                   1003: 
                   1004:   return( 0 );                         /* we're done */
                   1005: }
                   1006: 
                   1007: 
                   1008: /******************************************/
                   1009: 
                   1010: void replace_back_to_slash(char *s, char*t)
                   1011: {
                   1012:   int i;
                   1013:   int lg=0;
                   1014:   i=0;
                   1015:   lg=strlen(t);
                   1016:   for(i=0; i<= lg; i++) {
                   1017:     (s[i] = t[i]);
                   1018:     if (t[i]== '\\') s[i]='/';
                   1019:   }
                   1020: }
                   1021: 
1.132     brouard  1022: char *trimbb(char *out, char *in)
1.137     brouard  1023: { /* Trim multiple blanks in line but keeps first blanks if line starts with blanks */
1.132     brouard  1024:   char *s;
                   1025:   s=out;
                   1026:   while (*in != '\0'){
1.137     brouard  1027:     while( *in == ' ' && *(in+1) == ' '){ /* && *(in+1) != '\0'){*/
1.132     brouard  1028:       in++;
                   1029:     }
                   1030:     *out++ = *in++;
                   1031:   }
                   1032:   *out='\0';
                   1033:   return s;
                   1034: }
                   1035: 
1.187     brouard  1036: /* char *substrchaine(char *out, char *in, char *chain) */
                   1037: /* { */
                   1038: /*   /\* Substract chain 'chain' from 'in', return and output 'out' *\/ */
                   1039: /*   char *s, *t; */
                   1040: /*   t=in;s=out; */
                   1041: /*   while ((*in != *chain) && (*in != '\0')){ */
                   1042: /*     *out++ = *in++; */
                   1043: /*   } */
                   1044: 
                   1045: /*   /\* *in matches *chain *\/ */
                   1046: /*   while ((*in++ == *chain++) && (*in != '\0')){ */
                   1047: /*     printf("*in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
                   1048: /*   } */
                   1049: /*   in--; chain--; */
                   1050: /*   while ( (*in != '\0')){ */
                   1051: /*     printf("Bef *in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
                   1052: /*     *out++ = *in++; */
                   1053: /*     printf("Aft *in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
                   1054: /*   } */
                   1055: /*   *out='\0'; */
                   1056: /*   out=s; */
                   1057: /*   return out; */
                   1058: /* } */
                   1059: char *substrchaine(char *out, char *in, char *chain)
                   1060: {
                   1061:   /* Substract chain 'chain' from 'in', return and output 'out' */
                   1062:   /* in="V1+V1*age+age*age+V2", chain="age*age" */
                   1063: 
                   1064:   char *strloc;
                   1065: 
                   1066:   strcpy (out, in); 
                   1067:   strloc = strstr(out, chain); /* strloc points to out at age*age+V2 */
                   1068:   printf("Bef strloc=%s chain=%s out=%s \n", strloc, chain, out);
                   1069:   if(strloc != NULL){ 
                   1070:     /* will affect out */ /* strloc+strlenc(chain)=+V2 */ /* Will also work in Unicode */
                   1071:     memmove(strloc,strloc+strlen(chain), strlen(strloc+strlen(chain))+1);
                   1072:     /* strcpy (strloc, strloc +strlen(chain));*/
                   1073:   }
                   1074:   printf("Aft strloc=%s chain=%s in=%s out=%s \n", strloc, chain, in, out);
                   1075:   return out;
                   1076: }
                   1077: 
                   1078: 
1.145     brouard  1079: char *cutl(char *blocc, char *alocc, char *in, char occ)
                   1080: {
1.187     brouard  1081:   /* cuts string in into blocc and alocc where blocc ends before FIRST occurence of char 'occ' 
1.145     brouard  1082:      and alocc starts after first occurence of char 'occ' : ex cutv(blocc,alocc,"abcdef2ghi2j",'2')
1.187     brouard  1083:      gives blocc="abcdef" and alocc="ghi2j".
1.145     brouard  1084:      If occ is not found blocc is null and alocc is equal to in. Returns blocc
                   1085:   */
1.160     brouard  1086:   char *s, *t;
1.145     brouard  1087:   t=in;s=in;
                   1088:   while ((*in != occ) && (*in != '\0')){
                   1089:     *alocc++ = *in++;
                   1090:   }
                   1091:   if( *in == occ){
                   1092:     *(alocc)='\0';
                   1093:     s=++in;
                   1094:   }
                   1095:  
                   1096:   if (s == t) {/* occ not found */
                   1097:     *(alocc-(in-s))='\0';
                   1098:     in=s;
                   1099:   }
                   1100:   while ( *in != '\0'){
                   1101:     *blocc++ = *in++;
                   1102:   }
                   1103: 
                   1104:   *blocc='\0';
                   1105:   return t;
                   1106: }
1.137     brouard  1107: char *cutv(char *blocc, char *alocc, char *in, char occ)
                   1108: {
1.187     brouard  1109:   /* cuts string in into blocc and alocc where blocc ends before LAST occurence of char 'occ' 
1.137     brouard  1110:      and alocc starts after last occurence of char 'occ' : ex cutv(blocc,alocc,"abcdef2ghi2j",'2')
                   1111:      gives blocc="abcdef2ghi" and alocc="j".
                   1112:      If occ is not found blocc is null and alocc is equal to in. Returns alocc
                   1113:   */
                   1114:   char *s, *t;
                   1115:   t=in;s=in;
                   1116:   while (*in != '\0'){
                   1117:     while( *in == occ){
                   1118:       *blocc++ = *in++;
                   1119:       s=in;
                   1120:     }
                   1121:     *blocc++ = *in++;
                   1122:   }
                   1123:   if (s == t) /* occ not found */
                   1124:     *(blocc-(in-s))='\0';
                   1125:   else
                   1126:     *(blocc-(in-s)-1)='\0';
                   1127:   in=s;
                   1128:   while ( *in != '\0'){
                   1129:     *alocc++ = *in++;
                   1130:   }
                   1131: 
                   1132:   *alocc='\0';
                   1133:   return s;
                   1134: }
                   1135: 
1.126     brouard  1136: int nbocc(char *s, char occ)
                   1137: {
                   1138:   int i,j=0;
                   1139:   int lg=20;
                   1140:   i=0;
                   1141:   lg=strlen(s);
                   1142:   for(i=0; i<= lg; i++) {
                   1143:   if  (s[i] == occ ) j++;
                   1144:   }
                   1145:   return j;
                   1146: }
                   1147: 
1.137     brouard  1148: /* void cutv(char *u,char *v, char*t, char occ) */
                   1149: /* { */
                   1150: /*   /\* cuts string t into u and v where u ends before last occurence of char 'occ'  */
                   1151: /*      and v starts after last occurence of char 'occ' : ex cutv(u,v,"abcdef2ghi2j",'2') */
                   1152: /*      gives u="abcdef2ghi" and v="j" *\/ */
                   1153: /*   int i,lg,j,p=0; */
                   1154: /*   i=0; */
                   1155: /*   lg=strlen(t); */
                   1156: /*   for(j=0; j<=lg-1; j++) { */
                   1157: /*     if((t[j]!= occ) && (t[j+1]== occ)) p=j+1; */
                   1158: /*   } */
1.126     brouard  1159: 
1.137     brouard  1160: /*   for(j=0; j<p; j++) { */
                   1161: /*     (u[j] = t[j]); */
                   1162: /*   } */
                   1163: /*      u[p]='\0'; */
1.126     brouard  1164: 
1.137     brouard  1165: /*    for(j=0; j<= lg; j++) { */
                   1166: /*     if (j>=(p+1))(v[j-p-1] = t[j]); */
                   1167: /*   } */
                   1168: /* } */
1.126     brouard  1169: 
1.160     brouard  1170: #ifdef _WIN32
                   1171: char * strsep(char **pp, const char *delim)
                   1172: {
                   1173:   char *p, *q;
                   1174:          
                   1175:   if ((p = *pp) == NULL)
                   1176:     return 0;
                   1177:   if ((q = strpbrk (p, delim)) != NULL)
                   1178:   {
                   1179:     *pp = q + 1;
                   1180:     *q = '\0';
                   1181:   }
                   1182:   else
                   1183:     *pp = 0;
                   1184:   return p;
                   1185: }
                   1186: #endif
                   1187: 
1.126     brouard  1188: /********************** nrerror ********************/
                   1189: 
                   1190: void nrerror(char error_text[])
                   1191: {
                   1192:   fprintf(stderr,"ERREUR ...\n");
                   1193:   fprintf(stderr,"%s\n",error_text);
                   1194:   exit(EXIT_FAILURE);
                   1195: }
                   1196: /*********************** vector *******************/
                   1197: double *vector(int nl, int nh)
                   1198: {
                   1199:   double *v;
                   1200:   v=(double *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(double)));
                   1201:   if (!v) nrerror("allocation failure in vector");
                   1202:   return v-nl+NR_END;
                   1203: }
                   1204: 
                   1205: /************************ free vector ******************/
                   1206: void free_vector(double*v, int nl, int nh)
                   1207: {
                   1208:   free((FREE_ARG)(v+nl-NR_END));
                   1209: }
                   1210: 
                   1211: /************************ivector *******************************/
                   1212: int *ivector(long nl,long nh)
                   1213: {
                   1214:   int *v;
                   1215:   v=(int *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(int)));
                   1216:   if (!v) nrerror("allocation failure in ivector");
                   1217:   return v-nl+NR_END;
                   1218: }
                   1219: 
                   1220: /******************free ivector **************************/
                   1221: void free_ivector(int *v, long nl, long nh)
                   1222: {
                   1223:   free((FREE_ARG)(v+nl-NR_END));
                   1224: }
                   1225: 
                   1226: /************************lvector *******************************/
                   1227: long *lvector(long nl,long nh)
                   1228: {
                   1229:   long *v;
                   1230:   v=(long *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(long)));
                   1231:   if (!v) nrerror("allocation failure in ivector");
                   1232:   return v-nl+NR_END;
                   1233: }
                   1234: 
                   1235: /******************free lvector **************************/
                   1236: void free_lvector(long *v, long nl, long nh)
                   1237: {
                   1238:   free((FREE_ARG)(v+nl-NR_END));
                   1239: }
                   1240: 
                   1241: /******************* imatrix *******************************/
                   1242: int **imatrix(long nrl, long nrh, long ncl, long nch) 
                   1243:      /* allocate a int matrix with subscript range m[nrl..nrh][ncl..nch] */ 
                   1244: { 
                   1245:   long i, nrow=nrh-nrl+1,ncol=nch-ncl+1; 
                   1246:   int **m; 
                   1247:   
                   1248:   /* allocate pointers to rows */ 
                   1249:   m=(int **) malloc((size_t)((nrow+NR_END)*sizeof(int*))); 
                   1250:   if (!m) nrerror("allocation failure 1 in matrix()"); 
                   1251:   m += NR_END; 
                   1252:   m -= nrl; 
                   1253:   
                   1254:   
                   1255:   /* allocate rows and set pointers to them */ 
                   1256:   m[nrl]=(int *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(int))); 
                   1257:   if (!m[nrl]) nrerror("allocation failure 2 in matrix()"); 
                   1258:   m[nrl] += NR_END; 
                   1259:   m[nrl] -= ncl; 
                   1260:   
                   1261:   for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol; 
                   1262:   
                   1263:   /* return pointer to array of pointers to rows */ 
                   1264:   return m; 
                   1265: } 
                   1266: 
                   1267: /****************** free_imatrix *************************/
                   1268: void free_imatrix(m,nrl,nrh,ncl,nch)
                   1269:       int **m;
                   1270:       long nch,ncl,nrh,nrl; 
                   1271:      /* free an int matrix allocated by imatrix() */ 
                   1272: { 
                   1273:   free((FREE_ARG) (m[nrl]+ncl-NR_END)); 
                   1274:   free((FREE_ARG) (m+nrl-NR_END)); 
                   1275: } 
                   1276: 
                   1277: /******************* matrix *******************************/
                   1278: double **matrix(long nrl, long nrh, long ncl, long nch)
                   1279: {
                   1280:   long i, nrow=nrh-nrl+1, ncol=nch-ncl+1;
                   1281:   double **m;
                   1282: 
                   1283:   m=(double **) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
                   1284:   if (!m) nrerror("allocation failure 1 in matrix()");
                   1285:   m += NR_END;
                   1286:   m -= nrl;
                   1287: 
                   1288:   m[nrl]=(double *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
                   1289:   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
                   1290:   m[nrl] += NR_END;
                   1291:   m[nrl] -= ncl;
                   1292: 
                   1293:   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
                   1294:   return m;
1.145     brouard  1295:   /* print *(*(m+1)+70) or print m[1][70]; print m+1 or print &(m[1]) or &(m[1][0])
                   1296: m[i] = address of ith row of the table. &(m[i]) is its value which is another adress
                   1297: that of m[i][0]. In order to get the value p m[i][0] but it is unitialized.
1.126     brouard  1298:    */
                   1299: }
                   1300: 
                   1301: /*************************free matrix ************************/
                   1302: void free_matrix(double **m, long nrl, long nrh, long ncl, long nch)
                   1303: {
                   1304:   free((FREE_ARG)(m[nrl]+ncl-NR_END));
                   1305:   free((FREE_ARG)(m+nrl-NR_END));
                   1306: }
                   1307: 
                   1308: /******************* ma3x *******************************/
                   1309: double ***ma3x(long nrl, long nrh, long ncl, long nch, long nll, long nlh)
                   1310: {
                   1311:   long i, j, nrow=nrh-nrl+1, ncol=nch-ncl+1, nlay=nlh-nll+1;
                   1312:   double ***m;
                   1313: 
                   1314:   m=(double ***) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
                   1315:   if (!m) nrerror("allocation failure 1 in matrix()");
                   1316:   m += NR_END;
                   1317:   m -= nrl;
                   1318: 
                   1319:   m[nrl]=(double **) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
                   1320:   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
                   1321:   m[nrl] += NR_END;
                   1322:   m[nrl] -= ncl;
                   1323: 
                   1324:   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
                   1325: 
                   1326:   m[nrl][ncl]=(double *) malloc((size_t)((nrow*ncol*nlay+NR_END)*sizeof(double)));
                   1327:   if (!m[nrl][ncl]) nrerror("allocation failure 3 in matrix()");
                   1328:   m[nrl][ncl] += NR_END;
                   1329:   m[nrl][ncl] -= nll;
                   1330:   for (j=ncl+1; j<=nch; j++) 
                   1331:     m[nrl][j]=m[nrl][j-1]+nlay;
                   1332:   
                   1333:   for (i=nrl+1; i<=nrh; i++) {
                   1334:     m[i][ncl]=m[i-1l][ncl]+ncol*nlay;
                   1335:     for (j=ncl+1; j<=nch; j++) 
                   1336:       m[i][j]=m[i][j-1]+nlay;
                   1337:   }
                   1338:   return m; 
                   1339:   /*  gdb: p *(m+1) <=> p m[1] and p (m+1) <=> p (m+1) <=> p &(m[1])
                   1340:            &(m[i][j][k]) <=> *((*(m+i) + j)+k)
                   1341:   */
                   1342: }
                   1343: 
                   1344: /*************************free ma3x ************************/
                   1345: void free_ma3x(double ***m, long nrl, long nrh, long ncl, long nch,long nll, long nlh)
                   1346: {
                   1347:   free((FREE_ARG)(m[nrl][ncl]+ nll-NR_END));
                   1348:   free((FREE_ARG)(m[nrl]+ncl-NR_END));
                   1349:   free((FREE_ARG)(m+nrl-NR_END));
                   1350: }
                   1351: 
                   1352: /*************** function subdirf ***********/
                   1353: char *subdirf(char fileres[])
                   1354: {
                   1355:   /* Caution optionfilefiname is hidden */
                   1356:   strcpy(tmpout,optionfilefiname);
                   1357:   strcat(tmpout,"/"); /* Add to the right */
                   1358:   strcat(tmpout,fileres);
                   1359:   return tmpout;
                   1360: }
                   1361: 
                   1362: /*************** function subdirf2 ***********/
                   1363: char *subdirf2(char fileres[], char *preop)
                   1364: {
                   1365:   
                   1366:   /* Caution optionfilefiname is hidden */
                   1367:   strcpy(tmpout,optionfilefiname);
                   1368:   strcat(tmpout,"/");
                   1369:   strcat(tmpout,preop);
                   1370:   strcat(tmpout,fileres);
                   1371:   return tmpout;
                   1372: }
                   1373: 
                   1374: /*************** function subdirf3 ***********/
                   1375: char *subdirf3(char fileres[], char *preop, char *preop2)
                   1376: {
                   1377:   
                   1378:   /* Caution optionfilefiname is hidden */
                   1379:   strcpy(tmpout,optionfilefiname);
                   1380:   strcat(tmpout,"/");
                   1381:   strcat(tmpout,preop);
                   1382:   strcat(tmpout,preop2);
                   1383:   strcat(tmpout,fileres);
                   1384:   return tmpout;
                   1385: }
                   1386: 
1.162     brouard  1387: char *asc_diff_time(long time_sec, char ascdiff[])
                   1388: {
                   1389:   long sec_left, days, hours, minutes;
                   1390:   days = (time_sec) / (60*60*24);
                   1391:   sec_left = (time_sec) % (60*60*24);
                   1392:   hours = (sec_left) / (60*60) ;
                   1393:   sec_left = (sec_left) %(60*60);
                   1394:   minutes = (sec_left) /60;
                   1395:   sec_left = (sec_left) % (60);
                   1396:   sprintf(ascdiff,"%ld day(s) %ld hour(s) %ld minute(s) %ld second(s)",days, hours, minutes, sec_left);  
                   1397:   return ascdiff;
                   1398: }
                   1399: 
1.126     brouard  1400: /***************** f1dim *************************/
                   1401: extern int ncom; 
                   1402: extern double *pcom,*xicom;
                   1403: extern double (*nrfunc)(double []); 
                   1404:  
                   1405: double f1dim(double x) 
                   1406: { 
                   1407:   int j; 
                   1408:   double f;
                   1409:   double *xt; 
                   1410:  
                   1411:   xt=vector(1,ncom); 
                   1412:   for (j=1;j<=ncom;j++) xt[j]=pcom[j]+x*xicom[j]; 
                   1413:   f=(*nrfunc)(xt); 
                   1414:   free_vector(xt,1,ncom); 
                   1415:   return f; 
                   1416: } 
                   1417: 
                   1418: /*****************brent *************************/
                   1419: double brent(double ax, double bx, double cx, double (*f)(double), double tol,         double *xmin) 
1.187     brouard  1420: {
                   1421:   /* Given a function f, and given a bracketing triplet of abscissas ax, bx, cx (such that bx is
                   1422:    * between ax and cx, and f(bx) is less than both f(ax) and f(cx) ), this routine isolates
                   1423:    * the minimum to a fractional precision of about tol using Brent’s method. The abscissa of
                   1424:    * the minimum is returned as xmin, and the minimum function value is returned as brent , the
                   1425:    * returned function value. 
                   1426:   */
1.126     brouard  1427:   int iter; 
                   1428:   double a,b,d,etemp;
1.159     brouard  1429:   double fu=0,fv,fw,fx;
1.164     brouard  1430:   double ftemp=0.;
1.126     brouard  1431:   double p,q,r,tol1,tol2,u,v,w,x,xm; 
                   1432:   double e=0.0; 
                   1433:  
                   1434:   a=(ax < cx ? ax : cx); 
                   1435:   b=(ax > cx ? ax : cx); 
                   1436:   x=w=v=bx; 
                   1437:   fw=fv=fx=(*f)(x); 
                   1438:   for (iter=1;iter<=ITMAX;iter++) { 
                   1439:     xm=0.5*(a+b); 
                   1440:     tol2=2.0*(tol1=tol*fabs(x)+ZEPS); 
                   1441:     /*         if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret)))*/
                   1442:     printf(".");fflush(stdout);
                   1443:     fprintf(ficlog,".");fflush(ficlog);
1.162     brouard  1444: #ifdef DEBUGBRENT
1.126     brouard  1445:     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);
                   1446:     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);
                   1447:     /*         if ((fabs(x-xm) <= (tol2-0.5*(b-a)))||(2.0*fabs(fu-ftemp) <= ftol*1.e-2*(fabs(fu)+fabs(ftemp)))) { */
                   1448: #endif
                   1449:     if (fabs(x-xm) <= (tol2-0.5*(b-a))){ 
                   1450:       *xmin=x; 
                   1451:       return fx; 
                   1452:     } 
                   1453:     ftemp=fu;
                   1454:     if (fabs(e) > tol1) { 
                   1455:       r=(x-w)*(fx-fv); 
                   1456:       q=(x-v)*(fx-fw); 
                   1457:       p=(x-v)*q-(x-w)*r; 
                   1458:       q=2.0*(q-r); 
                   1459:       if (q > 0.0) p = -p; 
                   1460:       q=fabs(q); 
                   1461:       etemp=e; 
                   1462:       e=d; 
                   1463:       if (fabs(p) >= fabs(0.5*q*etemp) || p <= q*(a-x) || p >= q*(b-x)) 
                   1464:        d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
                   1465:       else { 
                   1466:        d=p/q; 
                   1467:        u=x+d; 
                   1468:        if (u-a < tol2 || b-u < tol2) 
                   1469:          d=SIGN(tol1,xm-x); 
                   1470:       } 
                   1471:     } else { 
                   1472:       d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
                   1473:     } 
                   1474:     u=(fabs(d) >= tol1 ? x+d : x+SIGN(tol1,d)); 
                   1475:     fu=(*f)(u); 
                   1476:     if (fu <= fx) { 
                   1477:       if (u >= x) a=x; else b=x; 
                   1478:       SHFT(v,w,x,u) 
1.183     brouard  1479:       SHFT(fv,fw,fx,fu) 
                   1480:     } else { 
                   1481:       if (u < x) a=u; else b=u; 
                   1482:       if (fu <= fw || w == x) { 
                   1483:        v=w; 
                   1484:        w=u; 
                   1485:        fv=fw; 
                   1486:        fw=fu; 
                   1487:       } else if (fu <= fv || v == x || v == w) { 
                   1488:        v=u; 
                   1489:        fv=fu; 
                   1490:       } 
                   1491:     } 
1.126     brouard  1492:   } 
                   1493:   nrerror("Too many iterations in brent"); 
                   1494:   *xmin=x; 
                   1495:   return fx; 
                   1496: } 
                   1497: 
                   1498: /****************** mnbrak ***********************/
                   1499: 
                   1500: void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, double *fc, 
                   1501:            double (*func)(double)) 
1.183     brouard  1502: { /* Given a function func , and given distinct initial points ax and bx , this routine searches in
                   1503: the downhill direction (defined by the function as evaluated at the initial points) and returns
                   1504: new points ax , bx , cx that bracket a minimum of the function. Also returned are the function
                   1505: values at the three points, fa, fb , and fc such that fa > fb and fb < fc.
                   1506:    */
1.126     brouard  1507:   double ulim,u,r,q, dum;
                   1508:   double fu; 
1.187     brouard  1509: 
                   1510:   double scale=10.;
                   1511:   int iterscale=0;
                   1512: 
                   1513:   *fa=(*func)(*ax); /*  xta[j]=pcom[j]+(*ax)*xicom[j]; fa=f(xta[j])*/
                   1514:   *fb=(*func)(*bx); /*  xtb[j]=pcom[j]+(*bx)*xicom[j]; fb=f(xtb[j]) */
                   1515: 
                   1516: 
                   1517:   /* while(*fb != *fb){ /\* *ax should be ok, reducing distance to *ax *\/ */
                   1518:   /*   printf("Warning mnbrak *fb = %lf, *bx=%lf *ax=%lf *fa==%lf iter=%d\n",*fb, *bx, *ax, *fa, iterscale++); */
                   1519:   /*   *bx = *ax - (*ax - *bx)/scale; */
                   1520:   /*   *fb=(*func)(*bx);  /\*  xtb[j]=pcom[j]+(*bx)*xicom[j]; fb=f(xtb[j]) *\/ */
                   1521:   /* } */
                   1522: 
1.126     brouard  1523:   if (*fb > *fa) { 
                   1524:     SHFT(dum,*ax,*bx,dum) 
1.183     brouard  1525:     SHFT(dum,*fb,*fa,dum) 
                   1526:   } 
1.126     brouard  1527:   *cx=(*bx)+GOLD*(*bx-*ax); 
                   1528:   *fc=(*func)(*cx); 
1.183     brouard  1529: #ifdef DEBUG
                   1530:   printf("mnbrak0 *fb=%.12e *fc=%.12e\n",*fb,*fc);
                   1531:   fprintf(ficlog,"mnbrak0 *fb=%.12e *fc=%.12e\n",*fb,*fc);
                   1532: #endif
                   1533:   while (*fb > *fc) { /* Declining a,b,c with fa> fb > fc */
1.126     brouard  1534:     r=(*bx-*ax)*(*fb-*fc); 
                   1535:     q=(*bx-*cx)*(*fb-*fa); 
                   1536:     u=(*bx)-((*bx-*cx)*q-(*bx-*ax)*r)/ 
1.183     brouard  1537:       (2.0*SIGN(FMAX(fabs(q-r),TINY),q-r)); /* Minimum abscissa of a parabolic estimated from (a,fa), (b,fb) and (c,fc). */
                   1538:     ulim=(*bx)+GLIMIT*(*cx-*bx); /* Maximum abscissa where function should be evaluated */
                   1539:     if ((*bx-u)*(u-*cx) > 0.0) { /* if u_p is between b and c */
1.126     brouard  1540:       fu=(*func)(u); 
1.163     brouard  1541: #ifdef DEBUG
                   1542:       /* f(x)=A(x-u)**2+f(u) */
                   1543:       double A, fparabu; 
                   1544:       A= (*fb - *fa)/(*bx-*ax)/(*bx+*ax-2*u);
                   1545:       fparabu= *fa - A*(*ax-u)*(*ax-u);
                   1546:       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);
                   1547:       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  1548:       /* And thus,it can be that fu > *fc even if fparabu < *fc */
                   1549:       /* mnbrak (*ax=7.666299858533, *fa=299039.693133272231), (*bx=8.595447774979, *fb=298976.598289369489),
                   1550:         (*cx=10.098840694817, *fc=298946.631474258087),  (*u=9.852501168332, fu=298948.773013752128, fparabu=298945.434711494134) */
                   1551:       /* In that case, there is no bracket in the output! Routine is wrong with many consequences.*/
1.163     brouard  1552: #endif 
1.184     brouard  1553: #ifdef MNBRAKORIGINAL
1.183     brouard  1554: #else
1.191     brouard  1555: /*       if (fu > *fc) { */
                   1556: /* #ifdef DEBUG */
                   1557: /*       printf("mnbrak4  fu > fc \n"); */
                   1558: /*       fprintf(ficlog, "mnbrak4 fu > fc\n"); */
                   1559: /* #endif */
                   1560: /*     /\* 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 *\\/  *\/ */
                   1561: /*     /\* SHFT(*fa,*fc,fu,*fc) /\\* (b, u, c) is a bracket while test fb > fc will be fu > fc  will exit *\\/ *\/ */
                   1562: /*     dum=u; /\* Shifting c and u *\/ */
                   1563: /*     u = *cx; */
                   1564: /*     *cx = dum; */
                   1565: /*     dum = fu; */
                   1566: /*     fu = *fc; */
                   1567: /*     *fc =dum; */
                   1568: /*       } else { /\* end *\/ */
                   1569: /* #ifdef DEBUG */
                   1570: /*       printf("mnbrak3  fu < fc \n"); */
                   1571: /*       fprintf(ficlog, "mnbrak3 fu < fc\n"); */
                   1572: /* #endif */
                   1573: /*     dum=u; /\* Shifting c and u *\/ */
                   1574: /*     u = *cx; */
                   1575: /*     *cx = dum; */
                   1576: /*     dum = fu; */
                   1577: /*     fu = *fc; */
                   1578: /*     *fc =dum; */
                   1579: /*       } */
1.183     brouard  1580: #ifdef DEBUG
1.191     brouard  1581:       printf("mnbrak34  fu < or >= fc \n");
                   1582:       fprintf(ficlog, "mnbrak34 fu < fc\n");
1.183     brouard  1583: #endif
1.191     brouard  1584:       dum=u; /* Shifting c and u */
                   1585:       u = *cx;
                   1586:       *cx = dum;
                   1587:       dum = fu;
                   1588:       fu = *fc;
                   1589:       *fc =dum;
1.183     brouard  1590: #endif
1.162     brouard  1591:     } else if ((*cx-u)*(u-ulim) > 0.0) { /* u is after c but before ulim */
1.183     brouard  1592: #ifdef DEBUG
                   1593:       printf("mnbrak2  u after c but before ulim\n");
                   1594:       fprintf(ficlog, "mnbrak2 u after c but before ulim\n");
                   1595: #endif
1.126     brouard  1596:       fu=(*func)(u); 
                   1597:       if (fu < *fc) { 
1.183     brouard  1598: #ifdef DEBUG
                   1599:       printf("mnbrak2  u after c but before ulim AND fu < fc\n");
                   1600:       fprintf(ficlog, "mnbrak2 u after c but before ulim AND fu <fc \n");
                   1601: #endif
1.126     brouard  1602:        SHFT(*bx,*cx,u,*cx+GOLD*(*cx-*bx)) 
1.183     brouard  1603:        SHFT(*fb,*fc,fu,(*func)(u)) 
                   1604:       } 
1.162     brouard  1605:     } else if ((u-ulim)*(ulim-*cx) >= 0.0) { /* u outside ulim (verifying that ulim is beyond c) */
1.183     brouard  1606: #ifdef DEBUG
                   1607:       printf("mnbrak2  u outside ulim (verifying that ulim is beyond c)\n");
                   1608:       fprintf(ficlog, "mnbrak2 u outside ulim (verifying that ulim is beyond c)\n");
                   1609: #endif
1.126     brouard  1610:       u=ulim; 
                   1611:       fu=(*func)(u); 
1.183     brouard  1612:     } else { /* u could be left to b (if r > q parabola has a maximum) */
                   1613: #ifdef DEBUG
                   1614:       printf("mnbrak2  u could be left to b (if r > q parabola has a maximum)\n");
                   1615:       fprintf(ficlog, "mnbrak2  u could be left to b (if r > q parabola has a maximum)\n");
                   1616: #endif
1.126     brouard  1617:       u=(*cx)+GOLD*(*cx-*bx); 
                   1618:       fu=(*func)(u); 
1.183     brouard  1619:     } /* end tests */
1.126     brouard  1620:     SHFT(*ax,*bx,*cx,u) 
1.183     brouard  1621:     SHFT(*fa,*fb,*fc,fu) 
                   1622: #ifdef DEBUG
                   1623:       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);
                   1624:       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);
                   1625: #endif
                   1626:   } /* 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  1627: } 
                   1628: 
                   1629: /*************** linmin ************************/
1.162     brouard  1630: /* Given an n -dimensional point p[1..n] and an n -dimensional direction xi[1..n] , moves and
                   1631: resets p to where the function func(p) takes on a minimum along the direction xi from p ,
                   1632: and replaces xi by the actual vector displacement that p was moved. Also returns as fret
                   1633: the value of func at the returned location p . This is actually all accomplished by calling the
                   1634: routines mnbrak and brent .*/
1.126     brouard  1635: int ncom; 
                   1636: double *pcom,*xicom;
                   1637: double (*nrfunc)(double []); 
                   1638:  
                   1639: void linmin(double p[], double xi[], int n, double *fret,double (*func)(double [])) 
                   1640: { 
                   1641:   double brent(double ax, double bx, double cx, 
                   1642:               double (*f)(double), double tol, double *xmin); 
                   1643:   double f1dim(double x); 
                   1644:   void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, 
                   1645:              double *fc, double (*func)(double)); 
                   1646:   int j; 
                   1647:   double xx,xmin,bx,ax; 
                   1648:   double fx,fb,fa;
1.187     brouard  1649: 
1.203     brouard  1650: #ifdef LINMINORIGINAL
                   1651: #else
                   1652:   double scale=10., axs, xxs; /* Scale added for infinity */
                   1653: #endif
                   1654:   
1.126     brouard  1655:   ncom=n; 
                   1656:   pcom=vector(1,n); 
                   1657:   xicom=vector(1,n); 
                   1658:   nrfunc=func; 
                   1659:   for (j=1;j<=n;j++) { 
                   1660:     pcom[j]=p[j]; 
1.202     brouard  1661:     xicom[j]=xi[j]; /* Former scale xi[j] of currrent direction i */
1.126     brouard  1662:   } 
1.187     brouard  1663: 
1.203     brouard  1664: #ifdef LINMINORIGINAL
                   1665:   xx=1.;
                   1666: #else
                   1667:   axs=0.0;
                   1668:   xxs=1.;
                   1669:   do{
                   1670:     xx= xxs;
                   1671: #endif
1.187     brouard  1672:     ax=0.;
                   1673:     mnbrak(&ax,&xx,&bx,&fa,&fx,&fb,f1dim);  /* Outputs: xtx[j]=pcom[j]+(*xx)*xicom[j]; fx=f(xtx[j]) */
                   1674:     /* brackets with inputs ax=0 and xx=1, but points, pcom=p, and directions values, xicom=xi, are sent via f1dim(x) */
                   1675:     /* 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))   */
                   1676:     /* Outputs: fa=f(p(j)) and fx=f(p(j) + xxs * xi(j) ) and f(bx)= f(p(j)+ bx* xi(j)) */
                   1677:     /* Given input ax=axs and xx=xxs, xx might be too far from ax to get a finite f(xx) */
                   1678:     /* Searches on line, outputs (ax, xx, bx) such that fx < min(fa and fb) */
                   1679:     /* 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  1680: #ifdef LINMINORIGINAL
                   1681: #else
                   1682:     if (fx != fx){
                   1683:        xxs=xxs/scale; /* Trying a smaller xx, closer to initial ax=0 */
                   1684:        printf("|");
                   1685:        fprintf(ficlog,"|");
                   1686: #ifdef DEBUGLINMIN
                   1687:        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);
                   1688: #endif
                   1689:     }
                   1690:   }while(fx != fx);
                   1691: #endif
                   1692:   
1.191     brouard  1693: #ifdef DEBUGLINMIN
                   1694:   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  1695:   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  1696: #endif
1.187     brouard  1697:   *fret=brent(ax,xx,bx,f1dim,TOL,&xmin); /* Giving a bracketting triplet (ax, xx, bx), find a minimum, xmin, according to f1dim, *fret(xmin),*/
                   1698:   /* fa = f(p[j] + ax * xi[j]), fx = f(p[j] + xx * xi[j]), fb = f(p[j] + bx * xi[j]) */
                   1699:   /* fmin = f(p[j] + xmin * xi[j]) */
                   1700:   /* P+lambda n in that direction (lambdamin), with TOL between abscisses */
                   1701:   /* f1dim(xmin): for (j=1;j<=ncom;j++) xt[j]=pcom[j]+xmin*xicom[j]; */
1.126     brouard  1702: #ifdef DEBUG
                   1703:   printf("retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);
                   1704:   fprintf(ficlog,"retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);
                   1705: #endif
1.191     brouard  1706: #ifdef DEBUGLINMIN
                   1707:   printf("linmin end ");
1.202     brouard  1708:   fprintf(ficlog,"linmin end ");
1.191     brouard  1709: #endif
1.126     brouard  1710:   for (j=1;j<=n;j++) { 
1.203     brouard  1711: #ifdef LINMINORIGINAL
                   1712:     xi[j] *= xmin; 
                   1713: #else
                   1714: #ifdef DEBUGLINMIN
                   1715:     if(xxs <1.0)
                   1716:       printf(" before xi[%d]=%12.8f", j,xi[j]);
                   1717: #endif
                   1718:     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) */
                   1719: #ifdef DEBUGLINMIN
                   1720:     if(xxs <1.0)
                   1721:       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 );
                   1722: #endif
                   1723: #endif
1.187     brouard  1724:     p[j] += xi[j]; /* Parameters values are updated accordingly */
1.126     brouard  1725:   } 
1.191     brouard  1726: #ifdef DEBUGLINMIN
1.203     brouard  1727:   printf("\n");
1.191     brouard  1728:   printf("Comparing last *frec(xmin=%12.8f)=%12.8f from Brent and frec(0.)=%12.8f \n", xmin, *fret, (*func)(p));
1.202     brouard  1729:   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  1730:   for (j=1;j<=n;j++) { 
1.202     brouard  1731:     printf(" xi[%d]= %14.10f p[%d]= %12.7f",j,xi[j],j,p[j]);
                   1732:     fprintf(ficlog," xi[%d]= %14.10f p[%d]= %12.7f",j,xi[j],j,p[j]);
                   1733:     if(j % ncovmodel == 0){
1.191     brouard  1734:       printf("\n");
1.202     brouard  1735:       fprintf(ficlog,"\n");
                   1736:     }
1.191     brouard  1737:   }
1.203     brouard  1738: #else
1.191     brouard  1739: #endif
1.126     brouard  1740:   free_vector(xicom,1,n); 
                   1741:   free_vector(pcom,1,n); 
                   1742: } 
                   1743: 
                   1744: 
                   1745: /*************** powell ************************/
1.162     brouard  1746: /*
                   1747: Minimization of a function func of n variables. Input consists of an initial starting point
                   1748: p[1..n] ; an initial matrix xi[1..n][1..n] , whose columns contain the initial set of di-
                   1749: rections (usually the n unit vectors); and ftol , the fractional tolerance in the function value
                   1750: such that failure to decrease by more than this amount on one iteration signals doneness. On
                   1751: output, p is set to the best point found, xi is the then-current direction set, fret is the returned
                   1752: function value at p , and iter is the number of iterations taken. The routine linmin is used.
                   1753:  */
1.126     brouard  1754: void powell(double p[], double **xi, int n, double ftol, int *iter, double *fret, 
                   1755:            double (*func)(double [])) 
                   1756: { 
                   1757:   void linmin(double p[], double xi[], int n, double *fret, 
                   1758:              double (*func)(double [])); 
                   1759:   int i,ibig,j; 
                   1760:   double del,t,*pt,*ptt,*xit;
1.181     brouard  1761:   double directest;
1.126     brouard  1762:   double fp,fptt;
                   1763:   double *xits;
                   1764:   int niterf, itmp;
                   1765: 
                   1766:   pt=vector(1,n); 
                   1767:   ptt=vector(1,n); 
                   1768:   xit=vector(1,n); 
                   1769:   xits=vector(1,n); 
                   1770:   *fret=(*func)(p); 
                   1771:   for (j=1;j<=n;j++) pt[j]=p[j]; 
1.202     brouard  1772:   rcurr_time = time(NULL);  
1.126     brouard  1773:   for (*iter=1;;++(*iter)) { 
1.187     brouard  1774:     fp=(*fret); /* From former iteration or initial value */
1.126     brouard  1775:     ibig=0; 
                   1776:     del=0.0; 
1.157     brouard  1777:     rlast_time=rcurr_time;
                   1778:     /* (void) gettimeofday(&curr_time,&tzp); */
                   1779:     rcurr_time = time(NULL);  
                   1780:     curr_time = *localtime(&rcurr_time);
                   1781:     printf("\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret, rcurr_time-rlast_time, rcurr_time-rstart_time);fflush(stdout);
                   1782:     fprintf(ficlog,"\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret,rcurr_time-rlast_time, rcurr_time-rstart_time); fflush(ficlog);
                   1783: /*     fprintf(ficrespow,"%d %.12f %ld",*iter,*fret,curr_time.tm_sec-start_time.tm_sec); */
1.192     brouard  1784:     for (i=1;i<=n;i++) {
1.126     brouard  1785:       printf(" %d %.12f",i, p[i]);
                   1786:       fprintf(ficlog," %d %.12lf",i, p[i]);
                   1787:       fprintf(ficrespow," %.12lf", p[i]);
                   1788:     }
                   1789:     printf("\n");
                   1790:     fprintf(ficlog,"\n");
                   1791:     fprintf(ficrespow,"\n");fflush(ficrespow);
                   1792:     if(*iter <=3){
1.157     brouard  1793:       tml = *localtime(&rcurr_time);
                   1794:       strcpy(strcurr,asctime(&tml));
                   1795:       rforecast_time=rcurr_time; 
1.126     brouard  1796:       itmp = strlen(strcurr);
                   1797:       if(strcurr[itmp-1]=='\n')  /* Windows outputs with a new line */
                   1798:        strcurr[itmp-1]='\0';
1.162     brouard  1799:       printf("\nConsidering the time needed for the last iteration #%d: %ld seconds,\n",*iter,rcurr_time-rlast_time);
1.157     brouard  1800:       fprintf(ficlog,"\nConsidering the time needed for this last iteration #%d: %ld seconds,\n",*iter,rcurr_time-rlast_time);
1.126     brouard  1801:       for(niterf=10;niterf<=30;niterf+=10){
1.157     brouard  1802:        rforecast_time=rcurr_time+(niterf-*iter)*(rcurr_time-rlast_time);
                   1803:        forecast_time = *localtime(&rforecast_time);
                   1804:        strcpy(strfor,asctime(&forecast_time));
1.126     brouard  1805:        itmp = strlen(strfor);
                   1806:        if(strfor[itmp-1]=='\n')
                   1807:        strfor[itmp-1]='\0';
1.157     brouard  1808:        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);
                   1809:        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  1810:       }
                   1811:     }
1.187     brouard  1812:     for (i=1;i<=n;i++) { /* For each direction i */
                   1813:       for (j=1;j<=n;j++) xit[j]=xi[j][i]; /* Directions stored from previous iteration with previous scales */
1.126     brouard  1814:       fptt=(*fret); 
                   1815: #ifdef DEBUG
1.203     brouard  1816:       printf("fret=%lf, %lf, %lf \n", *fret, *fret, *fret);
                   1817:       fprintf(ficlog, "fret=%lf, %lf, %lf \n", *fret, *fret, *fret);
1.126     brouard  1818: #endif
1.203     brouard  1819:       printf("%d",i);fflush(stdout); /* print direction (parameter) i */
1.126     brouard  1820:       fprintf(ficlog,"%d",i);fflush(ficlog);
1.188     brouard  1821:       linmin(p,xit,n,fret,func); /* Point p[n]. xit[n] has been loaded for direction i as input.*/
                   1822:                                    /* Outputs are fret(new point p) p is updated and xit rescaled */
                   1823:       if (fabs(fptt-(*fret)) > del) { /* We are keeping the max gain on each of the n directions */
                   1824:        /* because that direction will be replaced unless the gain del is small */
                   1825:        /* in comparison with the 'probable' gain, mu^2, with the last average direction. */
                   1826:        /* Unless the n directions are conjugate some gain in the determinant may be obtained */
                   1827:        /* with the new direction. */
1.126     brouard  1828:        del=fabs(fptt-(*fret)); 
                   1829:        ibig=i; 
                   1830:       } 
                   1831: #ifdef DEBUG
                   1832:       printf("%d %.12e",i,(*fret));
                   1833:       fprintf(ficlog,"%d %.12e",i,(*fret));
                   1834:       for (j=1;j<=n;j++) {
                   1835:        xits[j]=FMAX(fabs(p[j]-pt[j]),1.e-5);
                   1836:        printf(" x(%d)=%.12e",j,xit[j]);
                   1837:        fprintf(ficlog," x(%d)=%.12e",j,xit[j]);
                   1838:       }
                   1839:       for(j=1;j<=n;j++) {
1.162     brouard  1840:        printf(" p(%d)=%.12e",j,p[j]);
                   1841:        fprintf(ficlog," p(%d)=%.12e",j,p[j]);
1.126     brouard  1842:       }
                   1843:       printf("\n");
                   1844:       fprintf(ficlog,"\n");
                   1845: #endif
1.187     brouard  1846:     } /* end loop on each direction i */
                   1847:     /* Convergence test will use last linmin estimation (fret) and compare former iteration (fp) */ 
1.188     brouard  1848:     /* But p and xit have been updated at the end of linmin, *fret corresponds to new p, xit  */
1.187     brouard  1849:     /* New value of last point Pn is not computed, P(n-1) */
1.182     brouard  1850:     if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret))) { /* Did we reach enough precision? */
1.188     brouard  1851:       /* We could compare with a chi^2. chisquare(0.95,ddl=1)=3.84 */
                   1852:       /* By adding age*age in a model, the new -2LL should be lower and the difference follows a */
                   1853:       /* a chisquare statistics with 1 degree. To be significant at the 95% level, it should have */
                   1854:       /* decreased of more than 3.84  */
                   1855:       /* By adding age*age and V1*age the gain (-2LL) should be more than 5.99 (ddl=2) */
                   1856:       /* By using V1+V2+V3, the gain should be  7.82, compared with basic 1+age. */
                   1857:       /* By adding 10 parameters more the gain should be 18.31 */
                   1858: 
                   1859:       /* Starting the program with initial values given by a former maximization will simply change */
                   1860:       /* the scales of the directions and the directions, because the are reset to canonical directions */
                   1861:       /* Thus the first calls to linmin will give new points and better maximizations until fp-(*fret) is */
                   1862:       /* under the tolerance value. If the tolerance is very small 1.e-9, it could last long.  */
1.126     brouard  1863: #ifdef DEBUG
                   1864:       int k[2],l;
                   1865:       k[0]=1;
                   1866:       k[1]=-1;
                   1867:       printf("Max: %.12e",(*func)(p));
                   1868:       fprintf(ficlog,"Max: %.12e",(*func)(p));
                   1869:       for (j=1;j<=n;j++) {
                   1870:        printf(" %.12e",p[j]);
                   1871:        fprintf(ficlog," %.12e",p[j]);
                   1872:       }
                   1873:       printf("\n");
                   1874:       fprintf(ficlog,"\n");
                   1875:       for(l=0;l<=1;l++) {
                   1876:        for (j=1;j<=n;j++) {
                   1877:          ptt[j]=p[j]+(p[j]-pt[j])*k[l];
                   1878:          printf("l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
                   1879:          fprintf(ficlog,"l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
                   1880:        }
                   1881:        printf("func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
                   1882:        fprintf(ficlog,"func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
                   1883:       }
                   1884: #endif
                   1885: 
                   1886: 
                   1887:       free_vector(xit,1,n); 
                   1888:       free_vector(xits,1,n); 
                   1889:       free_vector(ptt,1,n); 
                   1890:       free_vector(pt,1,n); 
                   1891:       return; 
1.192     brouard  1892:     } /* enough precision */ 
1.126     brouard  1893:     if (*iter == ITMAX) nrerror("powell exceeding maximum iterations."); 
1.181     brouard  1894:     for (j=1;j<=n;j++) { /* Computes the extrapolated point P_0 + 2 (P_n-P_0) */
1.126     brouard  1895:       ptt[j]=2.0*p[j]-pt[j]; 
                   1896:       xit[j]=p[j]-pt[j]; 
                   1897:       pt[j]=p[j]; 
                   1898:     } 
1.181     brouard  1899:     fptt=(*func)(ptt); /* f_3 */
1.192     brouard  1900: #ifdef POWELLF1F3
                   1901: #else
1.161     brouard  1902:     if (fptt < fp) { /* If extrapolated point is better, decide if we keep that new direction or not */
1.192     brouard  1903: #endif
1.162     brouard  1904:       /* (x1 f1=fp), (x2 f2=*fret), (x3 f3=fptt), (xm fm) */
1.161     brouard  1905:       /* From x1 (P0) distance of x2 is at h and x3 is 2h */
1.162     brouard  1906:       /* Let f"(x2) be the 2nd derivative equal everywhere.  */
                   1907:       /* Then the parabolic through (x1,f1), (x2,f2) and (x3,f3) */
                   1908:       /* will reach at f3 = fm + h^2/2 f"m  ; f" = (f1 -2f2 +f3 ) / h**2 */
1.181     brouard  1909:       /* Conditional for using this new direction is that mu^2 = (f1-2f2+f3)^2 /2 < del */
1.161     brouard  1910:       /* t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)-del*SQR(fp-fptt); */
1.183     brouard  1911: #ifdef NRCORIGINAL
                   1912:       t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)- del*SQR(fp-fptt); /* Original Numerical Recipes in C*/
                   1913: #else
                   1914:       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  1915:       t= t- del*SQR(fp-fptt);
1.183     brouard  1916: #endif
1.202     brouard  1917:       directest = fp-2.0*(*fret)+fptt - 2.0 * del; /* If delta was big enough we change it for a new direction */
1.161     brouard  1918: #ifdef DEBUG
1.181     brouard  1919:       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);
                   1920:       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  1921:       printf("t3= %.12lf, t4= %.12lf, t3*= %.12lf, t4*= %.12lf\n",SQR(fp-(*fret)-del),SQR(fp-fptt),
                   1922:             (fp-(*fret)-del)*(fp-(*fret)-del),(fp-fptt)*(fp-fptt));
                   1923:       fprintf(ficlog,"t3= %.12lf, t4= %.12lf, t3*= %.12lf, t4*= %.12lf\n",SQR(fp-(*fret)-del),SQR(fp-fptt),
                   1924:             (fp-(*fret)-del)*(fp-(*fret)-del),(fp-fptt)*(fp-fptt));
                   1925:       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);
                   1926:       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);
                   1927: #endif
1.183     brouard  1928: #ifdef POWELLORIGINAL
                   1929:       if (t < 0.0) { /* Then we use it for new direction */
                   1930: #else
1.182     brouard  1931:       if (directest*t < 0.0) { /* Contradiction between both tests */
1.202     brouard  1932:        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  1933:         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  1934:         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  1935:         fprintf(ficlog,"f1-2f2+f3= %.12lf, f1-f2-del= %.12lf, f1-f3= %.12lf\n",fp-2.0*(*fret)+fptt, fp -(*fret) -del, fp-fptt);
                   1936:       } 
1.181     brouard  1937:       if (directest < 0.0) { /* Then we use it for new direction */
                   1938: #endif
1.191     brouard  1939: #ifdef DEBUGLINMIN
                   1940:        printf("Before linmin in direction P%d-P0\n",n);
                   1941:        for (j=1;j<=n;j++) { 
1.202     brouard  1942:          printf(" Before xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   1943:          fprintf(ficlog," Before xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   1944:          if(j % ncovmodel == 0){
1.191     brouard  1945:            printf("\n");
1.202     brouard  1946:            fprintf(ficlog,"\n");
                   1947:          }
1.191     brouard  1948:        }
                   1949: #endif
1.187     brouard  1950:        linmin(p,xit,n,fret,func); /* computes minimum on the extrapolated direction: changes p and rescales xit.*/
1.191     brouard  1951: #ifdef DEBUGLINMIN
                   1952:        for (j=1;j<=n;j++) { 
                   1953:          printf("After xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
1.202     brouard  1954:          fprintf(ficlog,"After xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   1955:          if(j % ncovmodel == 0){
1.191     brouard  1956:            printf("\n");
1.202     brouard  1957:            fprintf(ficlog,"\n");
                   1958:          }
1.191     brouard  1959:        }
                   1960: #endif
1.126     brouard  1961:        for (j=1;j<=n;j++) { 
1.181     brouard  1962:          xi[j][ibig]=xi[j][n]; /* Replace direction with biggest decrease by last direction n */
                   1963:          xi[j][n]=xit[j];      /* and this nth direction by the by the average p_0 p_n */
1.126     brouard  1964:        }
1.181     brouard  1965:        printf("Gaining to use new average direction of P0 P%d instead of biggest increase direction %d :\n",n,ibig);
                   1966:        fprintf(ficlog,"Gaining to use new average direction of P0 P%d instead of biggest increase direction %d :\n",n,ibig);
1.161     brouard  1967: 
1.126     brouard  1968: #ifdef DEBUG
1.164     brouard  1969:        printf("Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
                   1970:        fprintf(ficlog,"Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
1.126     brouard  1971:        for(j=1;j<=n;j++){
                   1972:          printf(" %.12e",xit[j]);
                   1973:          fprintf(ficlog," %.12e",xit[j]);
                   1974:        }
                   1975:        printf("\n");
                   1976:        fprintf(ficlog,"\n");
                   1977: #endif
1.192     brouard  1978:       } /* end of t or directest negative */
                   1979: #ifdef POWELLF1F3
                   1980: #else
1.162     brouard  1981:     } /* end if (fptt < fp)  */
1.192     brouard  1982: #endif
                   1983:   } /* loop iteration */ 
1.126     brouard  1984: } 
                   1985: 
                   1986: /**** Prevalence limit (stable or period prevalence)  ****************/
                   1987: 
1.203     brouard  1988: double **prevalim(double **prlim, int nlstate, double x[], double age, double **oldm, double **savm, double ftolpl, int *ncvyear, int ij)
1.126     brouard  1989: {
                   1990:   /* Computes the prevalence limit in each live state at age x by left multiplying the unit
1.203     brouard  1991:      matrix by transitions matrix until convergence is reached with precision ftolpl */
1.206     brouard  1992:   /* Wx= Wx-1 Px-1= Wx-2 Px-2 Px-1  = Wx-n Px-n ... Px-2 Px-1 I */
                   1993:   /* Wx is row vector: population in state 1, population in state 2, population dead */
                   1994:   /* or prevalence in state 1, prevalence in state 2, 0 */
                   1995:   /* newm is the matrix after multiplications, its rows are identical at a factor */
                   1996:   /* Initial matrix pimij */
                   1997:   /* {0.85204250825084937, 0.13044499163996345, 0.017512500109187184, */
                   1998:   /* 0.090851990222114765, 0.88271245433047185, 0.026435555447413338, */
                   1999:   /*  0,                   0                  , 1} */
                   2000:   /*
                   2001:    * and after some iteration: */
                   2002:   /* {0.45504275246439968, 0.42731458730878791, 0.11764266022681241, */
                   2003:   /*  0.45201005341706885, 0.42865420071559901, 0.11933574586733192, */
                   2004:   /*  0,                   0                  , 1} */
                   2005:   /* And prevalence by suppressing the deaths are close to identical rows in prlim: */
                   2006:   /* {0.51571254859325999, 0.4842874514067399, */
                   2007:   /*  0.51326036147820708, 0.48673963852179264} */
                   2008:   /* If we start from prlim again, prlim tends to a constant matrix */
                   2009: 
1.126     brouard  2010:   int i, ii,j,k;
1.209     brouard  2011:   double *min, *max, *meandiff, maxmax,sumnew=0.;
1.145     brouard  2012:   /* double **matprod2(); */ /* test */
1.131     brouard  2013:   double **out, cov[NCOVMAX+1], **pmij();
1.126     brouard  2014:   double **newm;
1.209     brouard  2015:   double agefin, delaymax=200. ; /* 100 Max number of years to converge */
1.203     brouard  2016:   int ncvloop=0;
1.169     brouard  2017:   
1.209     brouard  2018:   min=vector(1,nlstate);
                   2019:   max=vector(1,nlstate);
                   2020:   meandiff=vector(1,nlstate);
                   2021: 
1.126     brouard  2022:   for (ii=1;ii<=nlstate+ndeath;ii++)
                   2023:     for (j=1;j<=nlstate+ndeath;j++){
                   2024:       oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2025:     }
1.169     brouard  2026:   
                   2027:   cov[1]=1.;
                   2028:   
                   2029:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
1.202     brouard  2030:   /* Start at agefin= age, computes the matrix of passage and loops decreasing agefin until convergence is reached */
1.126     brouard  2031:   for(agefin=age-stepm/YEARM; agefin>=age-delaymax; agefin=agefin-stepm/YEARM){
1.202     brouard  2032:     ncvloop++;
1.126     brouard  2033:     newm=savm;
                   2034:     /* Covariates have to be included here again */
1.138     brouard  2035:     cov[2]=agefin;
1.187     brouard  2036:     if(nagesqr==1)
                   2037:       cov[3]= agefin*agefin;;
1.138     brouard  2038:     for (k=1; k<=cptcovn;k++) {
1.200     brouard  2039:       /* cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
                   2040:       cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)];
1.198     brouard  2041:       /* 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  2042:     }
1.186     brouard  2043:     /*wrong? for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
1.200     brouard  2044:     /* for (k=1; k<=cptcovage;k++) cov[2+nagesqr+Tage[k]]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]*cov[2]; */
                   2045:     for (k=1; k<=cptcovage;k++) cov[2+nagesqr+Tage[k]]=nbcode[Tvar[k]][codtabm(ij,k)]*cov[2];
1.186     brouard  2046:     for (k=1; k<=cptcovprod;k++) /* Useless */
1.200     brouard  2047:       /* cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,Tvard[k][1])] * nbcode[Tvard[k][2]][codtabm(ij,Tvard[k][2])]; */
                   2048:       cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * nbcode[Tvard[k][2]][codtabm(ij,k)];
1.138     brouard  2049:     
                   2050:     /*printf("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/
                   2051:     /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/
                   2052:     /*printf("ij=%d cov[3]=%lf \n",ij, cov[3]);*/
1.145     brouard  2053:     /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
                   2054:     /* out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /\* Bug Valgrind *\/ */
1.142     brouard  2055:     out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /* Bug Valgrind */
1.138     brouard  2056:     
1.126     brouard  2057:     savm=oldm;
                   2058:     oldm=newm;
1.209     brouard  2059: 
                   2060:     for(j=1; j<=nlstate; j++){
                   2061:       max[j]=0.;
                   2062:       min[j]=1.;
                   2063:     }
                   2064:     for(i=1;i<=nlstate;i++){
                   2065:       sumnew=0;
                   2066:       for(k=1; k<=ndeath; k++) sumnew+=newm[i][nlstate+k];
                   2067:       for(j=1; j<=nlstate; j++){ 
                   2068:        prlim[i][j]= newm[i][j]/(1-sumnew);
                   2069:        max[j]=FMAX(max[j],prlim[i][j]);
                   2070:        min[j]=FMIN(min[j],prlim[i][j]);
                   2071:       }
                   2072:     }
                   2073: 
1.126     brouard  2074:     maxmax=0.;
1.209     brouard  2075:     for(j=1; j<=nlstate; j++){
                   2076:       meandiff[j]=(max[j]-min[j])/(max[j]+min[j])*2.; /* mean difference for each column */
                   2077:       maxmax=FMAX(maxmax,meandiff[j]);
                   2078:       /* 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  2079:     } /* j loop */
1.203     brouard  2080:     *ncvyear= (int)age- (int)agefin;
1.208     brouard  2081:     /* 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  2082:     if(maxmax < ftolpl){
1.209     brouard  2083:       /* printf("maxmax=%lf ncvloop=%ld, age=%d, agefin=%d ncvyear=%d \n", maxmax, ncvloop, (int)age, (int)agefin, *ncvyear); */
                   2084:       free_vector(min,1,nlstate);
                   2085:       free_vector(max,1,nlstate);
                   2086:       free_vector(meandiff,1,nlstate);
1.126     brouard  2087:       return prlim;
                   2088:     }
1.169     brouard  2089:   } /* age loop */
1.208     brouard  2090:     /* After some age loop it doesn't converge */
1.209     brouard  2091:   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  2092: 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  2093:   /* 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); */
                   2094:   free_vector(min,1,nlstate);
                   2095:   free_vector(max,1,nlstate);
                   2096:   free_vector(meandiff,1,nlstate);
1.208     brouard  2097:   
1.169     brouard  2098:   return prlim; /* should not reach here */
1.126     brouard  2099: }
                   2100: 
                   2101: /*************** transition probabilities ***************/ 
                   2102: 
                   2103: double **pmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )
                   2104: {
1.138     brouard  2105:   /* According to parameters values stored in x and the covariate's values stored in cov,
                   2106:      computes the probability to be observed in state j being in state i by appying the
                   2107:      model to the ncovmodel covariates (including constant and age).
                   2108:      lnpijopii=ln(pij/pii)= aij+bij*age+cij*v1+dij*v2+... = sum_nc=1^ncovmodel xij(nc)*cov[nc]
                   2109:      and, according on how parameters are entered, the position of the coefficient xij(nc) of the
                   2110:      ncth covariate in the global vector x is given by the formula:
                   2111:      j<i nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel
                   2112:      j>=i nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel
                   2113:      Computes ln(pij/pii) (lnpijopii), deduces pij/pii by exponentiation,
                   2114:      sums on j different of i to get 1-pii/pii, deduces pii, and then all pij.
                   2115:      Outputs ps[i][j] the probability to be observed in j being in j according to
                   2116:      the values of the covariates cov[nc] and corresponding parameter values x[nc+shiftij]
                   2117:   */
                   2118:   double s1, lnpijopii;
1.126     brouard  2119:   /*double t34;*/
1.164     brouard  2120:   int i,j, nc, ii, jj;
1.126     brouard  2121: 
                   2122:     for(i=1; i<= nlstate; i++){
                   2123:       for(j=1; j<i;j++){
1.138     brouard  2124:        for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
                   2125:          /*lnpijopii += param[i][j][nc]*cov[nc];*/
                   2126:          lnpijopii += x[nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel]*cov[nc];
                   2127: /*      printf("Int j<i s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
1.126     brouard  2128:        }
1.138     brouard  2129:        ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
                   2130: /*     printf("s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
1.126     brouard  2131:       }
                   2132:       for(j=i+1; j<=nlstate+ndeath;j++){
1.138     brouard  2133:        for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
                   2134:          /*lnpijopii += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];*/
                   2135:          lnpijopii += x[nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel]*cov[nc];
                   2136: /*       printf("Int j>i s1=%.17e, lnpijopii=%.17e %lx %lx\n",s1,lnpijopii,s1,lnpijopii); */
1.126     brouard  2137:        }
1.138     brouard  2138:        ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
1.126     brouard  2139:       }
                   2140:     }
                   2141:     
                   2142:     for(i=1; i<= nlstate; i++){
                   2143:       s1=0;
1.131     brouard  2144:       for(j=1; j<i; j++){
1.138     brouard  2145:        s1+=exp(ps[i][j]); /* In fact sums pij/pii */
1.131     brouard  2146:        /*printf("debug1 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
                   2147:       }
                   2148:       for(j=i+1; j<=nlstate+ndeath; j++){
1.138     brouard  2149:        s1+=exp(ps[i][j]); /* In fact sums pij/pii */
1.131     brouard  2150:        /*printf("debug2 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
                   2151:       }
1.138     brouard  2152:       /* s1= sum_{j<>i} pij/pii=(1-pii)/pii and thus pii is known from s1 */
1.126     brouard  2153:       ps[i][i]=1./(s1+1.);
1.138     brouard  2154:       /* Computing other pijs */
1.126     brouard  2155:       for(j=1; j<i; j++)
                   2156:        ps[i][j]= exp(ps[i][j])*ps[i][i];
                   2157:       for(j=i+1; j<=nlstate+ndeath; j++)
                   2158:        ps[i][j]= exp(ps[i][j])*ps[i][i];
                   2159:       /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */
                   2160:     } /* end i */
                   2161:     
                   2162:     for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){
                   2163:       for(jj=1; jj<= nlstate+ndeath; jj++){
                   2164:        ps[ii][jj]=0;
                   2165:        ps[ii][ii]=1;
                   2166:       }
                   2167:     }
                   2168:     
1.145     brouard  2169:     
                   2170:     /* for(ii=1; ii<= nlstate+ndeath; ii++){ */
                   2171:     /*   for(jj=1; jj<= nlstate+ndeath; jj++){ */
                   2172:     /*         printf(" pmij  ps[%d][%d]=%lf ",ii,jj,ps[ii][jj]); */
                   2173:     /*   } */
                   2174:     /*   printf("\n "); */
                   2175:     /* } */
                   2176:     /* printf("\n ");printf("%lf ",cov[2]);*/
                   2177:     /*
1.126     brouard  2178:       for(i=1; i<= npar; i++) printf("%f ",x[i]);
                   2179:       goto end;*/
                   2180:     return ps;
                   2181: }
                   2182: 
                   2183: /**************** Product of 2 matrices ******************/
                   2184: 
1.145     brouard  2185: double **matprod2(double **out, double **in,int nrl, int nrh, int ncl, int nch, int ncolol, int ncoloh, double **b)
1.126     brouard  2186: {
                   2187:   /* Computes the matrix product of in(1,nrh-nrl+1)(1,nch-ncl+1) times
                   2188:      b(1,nch-ncl+1)(1,ncoloh-ncolol+1) into out(...) */
                   2189:   /* in, b, out are matrice of pointers which should have been initialized 
                   2190:      before: only the contents of out is modified. The function returns
                   2191:      a pointer to pointers identical to out */
1.145     brouard  2192:   int i, j, k;
1.126     brouard  2193:   for(i=nrl; i<= nrh; i++)
1.145     brouard  2194:     for(k=ncolol; k<=ncoloh; k++){
                   2195:       out[i][k]=0.;
                   2196:       for(j=ncl; j<=nch; j++)
                   2197:        out[i][k] +=in[i][j]*b[j][k];
                   2198:     }
1.126     brouard  2199:   return out;
                   2200: }
                   2201: 
                   2202: 
                   2203: /************* Higher Matrix Product ***************/
                   2204: 
                   2205: double ***hpxij(double ***po, int nhstepm, double age, int hstepm, double *x, int nlstate, int stepm, double **oldm, double **savm, int ij )
                   2206: {
                   2207:   /* Computes the transition matrix starting at age 'age' over 
                   2208:      'nhstepm*hstepm*stepm' months (i.e. until
                   2209:      age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying 
                   2210:      nhstepm*hstepm matrices. 
                   2211:      Output is stored in matrix po[i][j][h] for h every 'hstepm' step 
                   2212:      (typically every 2 years instead of every month which is too big 
                   2213:      for the memory).
                   2214:      Model is determined by parameters x and covariates have to be 
                   2215:      included manually here. 
                   2216: 
                   2217:      */
                   2218: 
                   2219:   int i, j, d, h, k;
1.131     brouard  2220:   double **out, cov[NCOVMAX+1];
1.126     brouard  2221:   double **newm;
1.187     brouard  2222:   double agexact;
1.126     brouard  2223: 
                   2224:   /* Hstepm could be zero and should return the unit matrix */
                   2225:   for (i=1;i<=nlstate+ndeath;i++)
                   2226:     for (j=1;j<=nlstate+ndeath;j++){
                   2227:       oldm[i][j]=(i==j ? 1.0 : 0.0);
                   2228:       po[i][j][0]=(i==j ? 1.0 : 0.0);
                   2229:     }
                   2230:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
                   2231:   for(h=1; h <=nhstepm; h++){
                   2232:     for(d=1; d <=hstepm; d++){
                   2233:       newm=savm;
                   2234:       /* Covariates have to be included here again */
                   2235:       cov[1]=1.;
1.187     brouard  2236:       agexact=age+((h-1)*hstepm + (d-1))*stepm/YEARM;
                   2237:       cov[2]=agexact;
                   2238:       if(nagesqr==1)
                   2239:        cov[3]= agexact*agexact;
1.131     brouard  2240:       for (k=1; k<=cptcovn;k++) 
1.200     brouard  2241:        cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)];
                   2242:        /* cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
1.186     brouard  2243:       for (k=1; k<=cptcovage;k++) /* Should start at cptcovn+1 */
                   2244:        /* cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
1.200     brouard  2245:        cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
                   2246:        /* cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,Tvar[Tage[k]])]*cov[2]; */
1.145     brouard  2247:       for (k=1; k<=cptcovprod;k++) /* Useless because included in cptcovn */
1.200     brouard  2248:        cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)]*nbcode[Tvard[k][2]][codtabm(ij,k)];
                   2249:        /* 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  2250: 
                   2251: 
                   2252:       /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/
                   2253:       /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/
                   2254:       out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, 
                   2255:                   pmij(pmmij,cov,ncovmodel,x,nlstate));
                   2256:       savm=oldm;
                   2257:       oldm=newm;
                   2258:     }
                   2259:     for(i=1; i<=nlstate+ndeath; i++)
                   2260:       for(j=1;j<=nlstate+ndeath;j++) {
                   2261:        po[i][j][h]=newm[i][j];
1.128     brouard  2262:        /*if(h==nhstepm) printf("po[%d][%d][%d]=%f ",i,j,h,po[i][j][h]);*/
1.126     brouard  2263:       }
1.128     brouard  2264:     /*printf("h=%d ",h);*/
1.126     brouard  2265:   } /* end h */
1.128     brouard  2266: /*     printf("\n H=%d \n",h); */
1.126     brouard  2267:   return po;
                   2268: }
                   2269: 
1.162     brouard  2270: #ifdef NLOPT
                   2271:   double  myfunc(unsigned n, const double *p1, double *grad, void *pd){
                   2272:   double fret;
                   2273:   double *xt;
                   2274:   int j;
                   2275:   myfunc_data *d2 = (myfunc_data *) pd;
                   2276: /* xt = (p1-1); */
                   2277:   xt=vector(1,n); 
                   2278:   for (j=1;j<=n;j++)   xt[j]=p1[j-1]; /* xt[1]=p1[0] */
                   2279: 
                   2280:   fret=(d2->function)(xt); /*  p xt[1]@8 is fine */
                   2281:   /* fret=(*func)(xt); /\*  p xt[1]@8 is fine *\/ */
                   2282:   printf("Function = %.12lf ",fret);
                   2283:   for (j=1;j<=n;j++) printf(" %d %.8lf", j, xt[j]); 
                   2284:   printf("\n");
                   2285:  free_vector(xt,1,n);
                   2286:   return fret;
                   2287: }
                   2288: #endif
1.126     brouard  2289: 
                   2290: /*************** log-likelihood *************/
                   2291: double func( double *x)
                   2292: {
                   2293:   int i, ii, j, k, mi, d, kk;
1.131     brouard  2294:   double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1];
1.126     brouard  2295:   double **out;
                   2296:   double sw; /* Sum of weights */
                   2297:   double lli; /* Individual log likelihood */
                   2298:   int s1, s2;
                   2299:   double bbh, survp;
                   2300:   long ipmx;
1.187     brouard  2301:   double agexact;
1.126     brouard  2302:   /*extern weight */
                   2303:   /* We are differentiating ll according to initial status */
                   2304:   /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
                   2305:   /*for(i=1;i<imx;i++) 
                   2306:     printf(" %d\n",s[4][i]);
                   2307:   */
1.162     brouard  2308: 
                   2309:   ++countcallfunc;
                   2310: 
1.126     brouard  2311:   cov[1]=1.;
                   2312: 
                   2313:   for(k=1; k<=nlstate; k++) ll[k]=0.;
                   2314: 
                   2315:   if(mle==1){
                   2316:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
1.138     brouard  2317:       /* Computes the values of the ncovmodel covariates of the model
                   2318:         depending if the covariates are fixed or variying (age dependent) and stores them in cov[]
                   2319:         Then computes with function pmij which return a matrix p[i][j] giving the elementary probability
                   2320:         to be observed in j being in i according to the model.
                   2321:        */
1.145     brouard  2322:       for (k=1; k<=cptcovn;k++){ /* Simple and product covariates without age* products */
1.187     brouard  2323:          cov[2+nagesqr+k]=covar[Tvar[k]][i];
1.145     brouard  2324:       }
1.137     brouard  2325:       /* In model V2+V1*V4+age*V3+V3*V2 Tvar[1] is V2, Tvar[2=V1*V4] 
1.138     brouard  2326:         is 6, Tvar[3=age*V3] should not be computed because of age Tvar[4=V3*V2] 
1.137     brouard  2327:         has been calculated etc */
1.126     brouard  2328:       for(mi=1; mi<= wav[i]-1; mi++){
                   2329:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   2330:          for (j=1;j<=nlstate+ndeath;j++){
                   2331:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2332:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2333:          }
                   2334:        for(d=0; d<dh[mi][i]; d++){
                   2335:          newm=savm;
1.187     brouard  2336:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   2337:          cov[2]=agexact;
                   2338:          if(nagesqr==1)
                   2339:            cov[3]= agexact*agexact;
1.126     brouard  2340:          for (kk=1; kk<=cptcovage;kk++) {
1.187     brouard  2341:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact; /* Tage[kk] gives the data-covariate associated with age */
1.126     brouard  2342:          }
                   2343:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   2344:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   2345:          savm=oldm;
                   2346:          oldm=newm;
                   2347:        } /* end mult */
                   2348:       
                   2349:        /*lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);*/ /* Original formula */
                   2350:        /* But now since version 0.9 we anticipate for bias at large stepm.
                   2351:         * If stepm is larger than one month (smallest stepm) and if the exact delay 
                   2352:         * (in months) between two waves is not a multiple of stepm, we rounded to 
                   2353:         * the nearest (and in case of equal distance, to the lowest) interval but now
                   2354:         * we keep into memory the bias bh[mi][i] and also the previous matrix product
                   2355:         * (i.e to dh[mi][i]-1) saved in 'savm'. Then we inter(extra)polate the
                   2356:         * probability in order to take into account the bias as a fraction of the way
                   2357:         * from savm to out if bh is negative or even beyond if bh is positive. bh varies
                   2358:         * -stepm/2 to stepm/2 .
                   2359:         * For stepm=1 the results are the same as for previous versions of Imach.
                   2360:         * For stepm > 1 the results are less biased than in previous versions. 
                   2361:         */
                   2362:        s1=s[mw[mi][i]][i];
                   2363:        s2=s[mw[mi+1][i]][i];
                   2364:        bbh=(double)bh[mi][i]/(double)stepm; 
                   2365:        /* bias bh is positive if real duration
                   2366:         * is higher than the multiple of stepm and negative otherwise.
                   2367:         */
                   2368:        /* lli= (savm[s1][s2]>1.e-8 ?(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]):log((1.+bbh)*out[s1][s2]));*/
                   2369:        if( s2 > nlstate){ 
                   2370:          /* i.e. if s2 is a death state and if the date of death is known 
                   2371:             then the contribution to the likelihood is the probability to 
                   2372:             die between last step unit time and current  step unit time, 
                   2373:             which is also equal to probability to die before dh 
                   2374:             minus probability to die before dh-stepm . 
                   2375:             In version up to 0.92 likelihood was computed
                   2376:        as if date of death was unknown. Death was treated as any other
                   2377:        health state: the date of the interview describes the actual state
                   2378:        and not the date of a change in health state. The former idea was
                   2379:        to consider that at each interview the state was recorded
                   2380:        (healthy, disable or death) and IMaCh was corrected; but when we
                   2381:        introduced the exact date of death then we should have modified
                   2382:        the contribution of an exact death to the likelihood. This new
                   2383:        contribution is smaller and very dependent of the step unit
                   2384:        stepm. It is no more the probability to die between last interview
                   2385:        and month of death but the probability to survive from last
                   2386:        interview up to one month before death multiplied by the
                   2387:        probability to die within a month. Thanks to Chris
                   2388:        Jackson for correcting this bug.  Former versions increased
                   2389:        mortality artificially. The bad side is that we add another loop
                   2390:        which slows down the processing. The difference can be up to 10%
                   2391:        lower mortality.
                   2392:          */
1.183     brouard  2393:        /* If, at the beginning of the maximization mostly, the
                   2394:           cumulative probability or probability to be dead is
                   2395:           constant (ie = 1) over time d, the difference is equal to
                   2396:           0.  out[s1][3] = savm[s1][3]: probability, being at state
                   2397:           s1 at precedent wave, to be dead a month before current
                   2398:           wave is equal to probability, being at state s1 at
                   2399:           precedent wave, to be dead at mont of the current
                   2400:           wave. Then the observed probability (that this person died)
                   2401:           is null according to current estimated parameter. In fact,
                   2402:           it should be very low but not zero otherwise the log go to
                   2403:           infinity.
                   2404:        */
                   2405: /* #ifdef INFINITYORIGINAL */
                   2406: /*         lli=log(out[s1][s2] - savm[s1][s2]); */
                   2407: /* #else */
                   2408: /*       if ((out[s1][s2] - savm[s1][s2]) < mytinydouble)  */
                   2409: /*         lli=log(mytinydouble); */
                   2410: /*       else */
                   2411: /*         lli=log(out[s1][s2] - savm[s1][s2]); */
                   2412: /* #endif */
                   2413:            lli=log(out[s1][s2] - savm[s1][s2]);
1.126     brouard  2414: 
                   2415:        } else if  (s2==-2) {
                   2416:          for (j=1,survp=0. ; j<=nlstate; j++) 
                   2417:            survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   2418:          /*survp += out[s1][j]; */
                   2419:          lli= log(survp);
                   2420:        }
                   2421:        
                   2422:        else if  (s2==-4) { 
                   2423:          for (j=3,survp=0. ; j<=nlstate; j++)  
                   2424:            survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   2425:          lli= log(survp); 
                   2426:        } 
                   2427: 
                   2428:        else if  (s2==-5) { 
                   2429:          for (j=1,survp=0. ; j<=2; j++)  
                   2430:            survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   2431:          lli= log(survp); 
                   2432:        } 
                   2433:        
                   2434:        else{
                   2435:          lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
                   2436:          /*  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 */
                   2437:        } 
                   2438:        /*lli=(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]);*/
                   2439:        /*if(lli ==000.0)*/
                   2440:        /*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); */
                   2441:        ipmx +=1;
                   2442:        sw += weight[i];
                   2443:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
1.183     brouard  2444:        /* if (lli < log(mytinydouble)){ */
                   2445:        /*   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); */
                   2446:        /*   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]); */
                   2447:        /* } */
1.126     brouard  2448:       } /* end of wave */
                   2449:     } /* end of individual */
                   2450:   }  else if(mle==2){
                   2451:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
1.187     brouard  2452:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
1.126     brouard  2453:       for(mi=1; mi<= wav[i]-1; mi++){
                   2454:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   2455:          for (j=1;j<=nlstate+ndeath;j++){
                   2456:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2457:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2458:          }
                   2459:        for(d=0; d<=dh[mi][i]; d++){
                   2460:          newm=savm;
1.187     brouard  2461:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   2462:          cov[2]=agexact;
                   2463:          if(nagesqr==1)
                   2464:            cov[3]= agexact*agexact;
1.126     brouard  2465:          for (kk=1; kk<=cptcovage;kk++) {
1.187     brouard  2466:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
1.126     brouard  2467:          }
                   2468:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   2469:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   2470:          savm=oldm;
                   2471:          oldm=newm;
                   2472:        } /* end mult */
                   2473:       
                   2474:        s1=s[mw[mi][i]][i];
                   2475:        s2=s[mw[mi+1][i]][i];
                   2476:        bbh=(double)bh[mi][i]/(double)stepm; 
                   2477:        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 */
                   2478:        ipmx +=1;
                   2479:        sw += weight[i];
                   2480:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   2481:       } /* end of wave */
                   2482:     } /* end of individual */
                   2483:   }  else if(mle==3){  /* exponential inter-extrapolation */
                   2484:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
1.187     brouard  2485:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
1.126     brouard  2486:       for(mi=1; mi<= wav[i]-1; mi++){
                   2487:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   2488:          for (j=1;j<=nlstate+ndeath;j++){
                   2489:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2490:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2491:          }
                   2492:        for(d=0; d<dh[mi][i]; d++){
                   2493:          newm=savm;
1.187     brouard  2494:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   2495:          cov[2]=agexact;
                   2496:          if(nagesqr==1)
                   2497:            cov[3]= agexact*agexact;
1.126     brouard  2498:          for (kk=1; kk<=cptcovage;kk++) {
1.187     brouard  2499:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
1.126     brouard  2500:          }
                   2501:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   2502:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   2503:          savm=oldm;
                   2504:          oldm=newm;
                   2505:        } /* end mult */
                   2506:       
                   2507:        s1=s[mw[mi][i]][i];
                   2508:        s2=s[mw[mi+1][i]][i];
                   2509:        bbh=(double)bh[mi][i]/(double)stepm; 
                   2510:        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 */
                   2511:        ipmx +=1;
                   2512:        sw += weight[i];
                   2513:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   2514:       } /* end of wave */
                   2515:     } /* end of individual */
                   2516:   }else if (mle==4){  /* ml=4 no inter-extrapolation */
                   2517:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
1.187     brouard  2518:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
1.126     brouard  2519:       for(mi=1; mi<= wav[i]-1; mi++){
                   2520:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   2521:          for (j=1;j<=nlstate+ndeath;j++){
                   2522:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2523:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2524:          }
                   2525:        for(d=0; d<dh[mi][i]; d++){
                   2526:          newm=savm;
1.187     brouard  2527:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   2528:          cov[2]=agexact;
                   2529:          if(nagesqr==1)
                   2530:            cov[3]= agexact*agexact;
1.126     brouard  2531:          for (kk=1; kk<=cptcovage;kk++) {
1.187     brouard  2532:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
1.126     brouard  2533:          }
                   2534:        
                   2535:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   2536:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   2537:          savm=oldm;
                   2538:          oldm=newm;
                   2539:        } /* end mult */
                   2540:       
                   2541:        s1=s[mw[mi][i]][i];
                   2542:        s2=s[mw[mi+1][i]][i];
                   2543:        if( s2 > nlstate){ 
                   2544:          lli=log(out[s1][s2] - savm[s1][s2]);
                   2545:        }else{
                   2546:          lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
                   2547:        }
                   2548:        ipmx +=1;
                   2549:        sw += weight[i];
                   2550:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   2551: /*     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]); */
                   2552:       } /* end of wave */
                   2553:     } /* end of individual */
                   2554:   }else{  /* ml=5 no inter-extrapolation no jackson =0.8a */
                   2555:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
1.187     brouard  2556:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
1.126     brouard  2557:       for(mi=1; mi<= wav[i]-1; mi++){
                   2558:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   2559:          for (j=1;j<=nlstate+ndeath;j++){
                   2560:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2561:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2562:          }
                   2563:        for(d=0; d<dh[mi][i]; d++){
                   2564:          newm=savm;
1.187     brouard  2565:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   2566:          cov[2]=agexact;
                   2567:          if(nagesqr==1)
                   2568:            cov[3]= agexact*agexact;
1.126     brouard  2569:          for (kk=1; kk<=cptcovage;kk++) {
1.187     brouard  2570:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
1.126     brouard  2571:          }
                   2572:        
                   2573:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   2574:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   2575:          savm=oldm;
                   2576:          oldm=newm;
                   2577:        } /* end mult */
                   2578:       
                   2579:        s1=s[mw[mi][i]][i];
                   2580:        s2=s[mw[mi+1][i]][i];
                   2581:        lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
                   2582:        ipmx +=1;
                   2583:        sw += weight[i];
                   2584:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   2585:        /*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]);*/
                   2586:       } /* end of wave */
                   2587:     } /* end of individual */
                   2588:   } /* End of if */
                   2589:   for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
                   2590:   /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
                   2591:   l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
                   2592:   return -l;
                   2593: }
                   2594: 
                   2595: /*************** log-likelihood *************/
                   2596: double funcone( double *x)
                   2597: {
                   2598:   /* Same as likeli but slower because of a lot of printf and if */
                   2599:   int i, ii, j, k, mi, d, kk;
1.131     brouard  2600:   double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1];
1.126     brouard  2601:   double **out;
                   2602:   double lli; /* Individual log likelihood */
                   2603:   double llt;
                   2604:   int s1, s2;
                   2605:   double bbh, survp;
1.187     brouard  2606:   double agexact;
1.126     brouard  2607:   /*extern weight */
                   2608:   /* We are differentiating ll according to initial status */
                   2609:   /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
                   2610:   /*for(i=1;i<imx;i++) 
                   2611:     printf(" %d\n",s[4][i]);
                   2612:   */
                   2613:   cov[1]=1.;
                   2614: 
                   2615:   for(k=1; k<=nlstate; k++) ll[k]=0.;
                   2616: 
                   2617:   for (i=1,ipmx=0, sw=0.; i<=imx; i++){
1.187     brouard  2618:     for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
1.126     brouard  2619:     for(mi=1; mi<= wav[i]-1; mi++){
                   2620:       for (ii=1;ii<=nlstate+ndeath;ii++)
                   2621:        for (j=1;j<=nlstate+ndeath;j++){
                   2622:          oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2623:          savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2624:        }
                   2625:       for(d=0; d<dh[mi][i]; d++){
                   2626:        newm=savm;
1.187     brouard  2627:        agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   2628:        cov[2]=agexact;
                   2629:        if(nagesqr==1)
                   2630:          cov[3]= agexact*agexact;
1.126     brouard  2631:        for (kk=1; kk<=cptcovage;kk++) {
1.187     brouard  2632:          cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
1.126     brouard  2633:        }
1.187     brouard  2634: 
1.145     brouard  2635:        /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
1.126     brouard  2636:        out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   2637:                     1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
1.145     brouard  2638:        /* out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath, */
                   2639:        /*           1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate)); */
1.126     brouard  2640:        savm=oldm;
                   2641:        oldm=newm;
                   2642:       } /* end mult */
                   2643:       
                   2644:       s1=s[mw[mi][i]][i];
                   2645:       s2=s[mw[mi+1][i]][i];
                   2646:       bbh=(double)bh[mi][i]/(double)stepm; 
                   2647:       /* bias is positive if real duration
                   2648:        * is higher than the multiple of stepm and negative otherwise.
                   2649:        */
                   2650:       if( s2 > nlstate && (mle <5) ){  /* Jackson */
                   2651:        lli=log(out[s1][s2] - savm[s1][s2]);
                   2652:       } else if  (s2==-2) {
                   2653:        for (j=1,survp=0. ; j<=nlstate; j++) 
                   2654:          survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   2655:        lli= log(survp);
                   2656:       }else if (mle==1){
                   2657:        lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
                   2658:       } else if(mle==2){
                   2659:        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 */
                   2660:       } else if(mle==3){  /* exponential inter-extrapolation */
                   2661:        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 */
                   2662:       } else if (mle==4){  /* mle=4 no inter-extrapolation */
                   2663:        lli=log(out[s1][s2]); /* Original formula */
1.136     brouard  2664:       } else{  /* mle=0 back to 1 */
                   2665:        lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
                   2666:        /*lli=log(out[s1][s2]); */ /* Original formula */
1.126     brouard  2667:       } /* End of if */
                   2668:       ipmx +=1;
                   2669:       sw += weight[i];
                   2670:       ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
1.132     brouard  2671:       /*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  2672:       if(globpr){
1.205     brouard  2673:        fprintf(ficresilk,"%9ld %6.1f %6d %2d %2d %2d %2d %3d %11.6f %8.4f %8.3f\
1.126     brouard  2674:  %11.6f %11.6f %11.6f ", \
1.205     brouard  2675:                num[i], agexact, i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],weight[i]*gipmx/gsw,
1.126     brouard  2676:                2*weight[i]*lli,out[s1][s2],savm[s1][s2]);
                   2677:        for(k=1,llt=0.,l=0.; k<=nlstate; k++){
                   2678:          llt +=ll[k]*gipmx/gsw;
                   2679:          fprintf(ficresilk," %10.6f",-ll[k]*gipmx/gsw);
                   2680:        }
                   2681:        fprintf(ficresilk," %10.6f\n", -llt);
                   2682:       }
                   2683:     } /* end of wave */
                   2684:   } /* end of individual */
                   2685:   for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
                   2686:   /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
                   2687:   l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
                   2688:   if(globpr==0){ /* First time we count the contributions and weights */
                   2689:     gipmx=ipmx;
                   2690:     gsw=sw;
                   2691:   }
                   2692:   return -l;
                   2693: }
                   2694: 
                   2695: 
                   2696: /*************** function likelione ***********/
                   2697: void likelione(FILE *ficres,double p[], int npar, int nlstate, int *globpri, long *ipmx, double *sw, double *fretone, double (*funcone)(double []))
                   2698: {
                   2699:   /* This routine should help understanding what is done with 
                   2700:      the selection of individuals/waves and
                   2701:      to check the exact contribution to the likelihood.
                   2702:      Plotting could be done.
                   2703:    */
                   2704:   int k;
                   2705: 
                   2706:   if(*globpri !=0){ /* Just counts and sums, no printings */
1.201     brouard  2707:     strcpy(fileresilk,"ILK_"); 
1.202     brouard  2708:     strcat(fileresilk,fileresu);
1.126     brouard  2709:     if((ficresilk=fopen(fileresilk,"w"))==NULL) {
                   2710:       printf("Problem with resultfile: %s\n", fileresilk);
                   2711:       fprintf(ficlog,"Problem with resultfile: %s\n", fileresilk);
                   2712:     }
1.205     brouard  2713:     fprintf(ficresilk, "#individual(line's_record) count age 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");
1.207     brouard  2714:     fprintf(ficresilk, "#num_i age i s1 s2 mi mw dh likeli weight %%weight 2wlli out sav ");
1.126     brouard  2715:     /*         i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],2*weight[i]*lli,out[s1][s2],savm[s1][s2]); */
                   2716:     for(k=1; k<=nlstate; k++) 
                   2717:       fprintf(ficresilk," -2*gipw/gsw*weight*ll[%d]++",k);
                   2718:     fprintf(ficresilk," -2*gipw/gsw*weight*ll(total)\n");
                   2719:   }
                   2720: 
                   2721:   *fretone=(*funcone)(p);
                   2722:   if(*globpri !=0){
                   2723:     fclose(ficresilk);
1.205     brouard  2724:     if (mle ==0)
                   2725:       fprintf(fichtm,"\n<br>File of contributions to the likelihood computed with initial parameters and mle = %d.",mle);
                   2726:     else if(mle >=1)
                   2727:       fprintf(fichtm,"\n<br>File of contributions to the likelihood computed with optimized parameters mle = %d.",mle);
                   2728:     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  2729:     
1.208     brouard  2730:       
                   2731:     for (k=1; k<= nlstate ; k++) {
1.211     brouard  2732:       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  2733: <img src=\"%s-p%dj.png\">",k,k,subdirf2(optionfilefiname,"ILK_"),k,subdirf2(optionfilefiname,"ILK_"),k,subdirf2(optionfilefiname,"ILK_"),k);
                   2734:     }
1.207     brouard  2735:     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  2736: <img src=\"%s-ori.png\">",subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"));
1.207     brouard  2737:     fprintf(fichtm,"<br>- and by state of destination <a href=\"%s-dest.png\">%s-dest.png</a><br> \
1.204     brouard  2738: <img src=\"%s-dest.png\">",subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"));
1.207     brouard  2739:     fflush(fichtm);
1.205     brouard  2740:   }
1.126     brouard  2741:   return;
                   2742: }
                   2743: 
                   2744: 
                   2745: /*********** Maximum Likelihood Estimation ***************/
                   2746: 
                   2747: void mlikeli(FILE *ficres,double p[], int npar, int ncovmodel, int nlstate, double ftol, double (*func)(double []))
                   2748: {
1.165     brouard  2749:   int i,j, iter=0;
1.126     brouard  2750:   double **xi;
                   2751:   double fret;
                   2752:   double fretone; /* Only one call to likelihood */
                   2753:   /*  char filerespow[FILENAMELENGTH];*/
1.162     brouard  2754: 
                   2755: #ifdef NLOPT
                   2756:   int creturn;
                   2757:   nlopt_opt opt;
                   2758:   /* double lb[9] = { -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL }; /\* lower bounds *\/ */
                   2759:   double *lb;
                   2760:   double minf; /* the minimum objective value, upon return */
                   2761:   double * p1; /* Shifted parameters from 0 instead of 1 */
                   2762:   myfunc_data dinst, *d = &dinst;
                   2763: #endif
                   2764: 
                   2765: 
1.126     brouard  2766:   xi=matrix(1,npar,1,npar);
                   2767:   for (i=1;i<=npar;i++)
                   2768:     for (j=1;j<=npar;j++)
                   2769:       xi[i][j]=(i==j ? 1.0 : 0.0);
                   2770:   printf("Powell\n");  fprintf(ficlog,"Powell\n");
1.201     brouard  2771:   strcpy(filerespow,"POW_"); 
1.126     brouard  2772:   strcat(filerespow,fileres);
                   2773:   if((ficrespow=fopen(filerespow,"w"))==NULL) {
                   2774:     printf("Problem with resultfile: %s\n", filerespow);
                   2775:     fprintf(ficlog,"Problem with resultfile: %s\n", filerespow);
                   2776:   }
                   2777:   fprintf(ficrespow,"# Powell\n# iter -2*LL");
                   2778:   for (i=1;i<=nlstate;i++)
                   2779:     for(j=1;j<=nlstate+ndeath;j++)
                   2780:       if(j!=i)fprintf(ficrespow," p%1d%1d",i,j);
                   2781:   fprintf(ficrespow,"\n");
1.162     brouard  2782: #ifdef POWELL
1.126     brouard  2783:   powell(p,xi,npar,ftol,&iter,&fret,func);
1.162     brouard  2784: #endif
1.126     brouard  2785: 
1.162     brouard  2786: #ifdef NLOPT
                   2787: #ifdef NEWUOA
                   2788:   opt = nlopt_create(NLOPT_LN_NEWUOA,npar);
                   2789: #else
                   2790:   opt = nlopt_create(NLOPT_LN_BOBYQA,npar);
                   2791: #endif
                   2792:   lb=vector(0,npar-1);
                   2793:   for (i=0;i<npar;i++) lb[i]= -HUGE_VAL;
                   2794:   nlopt_set_lower_bounds(opt, lb);
                   2795:   nlopt_set_initial_step1(opt, 0.1);
                   2796:   
                   2797:   p1= (p+1); /*  p *(p+1)@8 and p *(p1)@8 are equal p1[0]=p[1] */
                   2798:   d->function = func;
                   2799:   printf(" Func %.12lf \n",myfunc(npar,p1,NULL,d));
                   2800:   nlopt_set_min_objective(opt, myfunc, d);
                   2801:   nlopt_set_xtol_rel(opt, ftol);
                   2802:   if ((creturn=nlopt_optimize(opt, p1, &minf)) < 0) {
                   2803:     printf("nlopt failed! %d\n",creturn); 
                   2804:   }
                   2805:   else {
                   2806:     printf("found minimum after %d evaluations (NLOPT=%d)\n", countcallfunc ,NLOPT);
                   2807:     printf("found minimum at f(%g,%g) = %0.10g\n", p[0], p[1], minf);
                   2808:     iter=1; /* not equal */
                   2809:   }
                   2810:   nlopt_destroy(opt);
                   2811: #endif
1.126     brouard  2812:   free_matrix(xi,1,npar,1,npar);
                   2813:   fclose(ficrespow);
1.203     brouard  2814:   printf("\n#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
                   2815:   fprintf(ficlog,"\n#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
1.180     brouard  2816:   fprintf(ficres,"#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
1.126     brouard  2817: 
                   2818: }
                   2819: 
                   2820: /**** Computes Hessian and covariance matrix ***/
1.203     brouard  2821: void hesscov(double **matcov, double **hess, double p[], int npar, double delti[], double ftolhess, double (*func)(double []))
1.126     brouard  2822: {
                   2823:   double  **a,**y,*x,pd;
1.203     brouard  2824:   /* double **hess; */
1.164     brouard  2825:   int i, j;
1.126     brouard  2826:   int *indx;
                   2827: 
                   2828:   double hessii(double p[], double delta, int theta, double delti[],double (*func)(double []),int npar);
1.203     brouard  2829:   double hessij(double p[], double **hess, double delti[], int i, int j,double (*func)(double []),int npar);
1.126     brouard  2830:   void lubksb(double **a, int npar, int *indx, double b[]) ;
                   2831:   void ludcmp(double **a, int npar, int *indx, double *d) ;
                   2832:   double gompertz(double p[]);
1.203     brouard  2833:   /* hess=matrix(1,npar,1,npar); */
1.126     brouard  2834: 
                   2835:   printf("\nCalculation of the hessian matrix. Wait...\n");
                   2836:   fprintf(ficlog,"\nCalculation of the hessian matrix. Wait...\n");
                   2837:   for (i=1;i<=npar;i++){
1.203     brouard  2838:     printf("%d-",i);fflush(stdout);
                   2839:     fprintf(ficlog,"%d-",i);fflush(ficlog);
1.126     brouard  2840:    
                   2841:      hess[i][i]=hessii(p,ftolhess,i,delti,func,npar);
                   2842:     
                   2843:     /*  printf(" %f ",p[i]);
                   2844:        printf(" %lf %lf %lf",hess[i][i],ftolhess,delti[i]);*/
                   2845:   }
                   2846:   
                   2847:   for (i=1;i<=npar;i++) {
                   2848:     for (j=1;j<=npar;j++)  {
                   2849:       if (j>i) { 
1.203     brouard  2850:        printf(".%d-%d",i,j);fflush(stdout);
                   2851:        fprintf(ficlog,".%d-%d",i,j);fflush(ficlog);
                   2852:        hess[i][j]=hessij(p,hess, delti,i,j,func,npar);
1.126     brouard  2853:        
                   2854:        hess[j][i]=hess[i][j];    
                   2855:        /*printf(" %lf ",hess[i][j]);*/
                   2856:       }
                   2857:     }
                   2858:   }
                   2859:   printf("\n");
                   2860:   fprintf(ficlog,"\n");
                   2861: 
                   2862:   printf("\nInverting the hessian to get the covariance matrix. Wait...\n");
                   2863:   fprintf(ficlog,"\nInverting the hessian to get the covariance matrix. Wait...\n");
                   2864:   
                   2865:   a=matrix(1,npar,1,npar);
                   2866:   y=matrix(1,npar,1,npar);
                   2867:   x=vector(1,npar);
                   2868:   indx=ivector(1,npar);
                   2869:   for (i=1;i<=npar;i++)
                   2870:     for (j=1;j<=npar;j++) a[i][j]=hess[i][j];
                   2871:   ludcmp(a,npar,indx,&pd);
                   2872: 
                   2873:   for (j=1;j<=npar;j++) {
                   2874:     for (i=1;i<=npar;i++) x[i]=0;
                   2875:     x[j]=1;
                   2876:     lubksb(a,npar,indx,x);
                   2877:     for (i=1;i<=npar;i++){ 
                   2878:       matcov[i][j]=x[i];
                   2879:     }
                   2880:   }
                   2881: 
                   2882:   printf("\n#Hessian matrix#\n");
                   2883:   fprintf(ficlog,"\n#Hessian matrix#\n");
                   2884:   for (i=1;i<=npar;i++) { 
                   2885:     for (j=1;j<=npar;j++) { 
1.203     brouard  2886:       printf("%.6e ",hess[i][j]);
                   2887:       fprintf(ficlog,"%.6e ",hess[i][j]);
1.126     brouard  2888:     }
                   2889:     printf("\n");
                   2890:     fprintf(ficlog,"\n");
                   2891:   }
                   2892: 
1.203     brouard  2893:   /* printf("\n#Covariance matrix#\n"); */
                   2894:   /* fprintf(ficlog,"\n#Covariance matrix#\n"); */
                   2895:   /* for (i=1;i<=npar;i++) {  */
                   2896:   /*   for (j=1;j<=npar;j++) {  */
                   2897:   /*     printf("%.6e ",matcov[i][j]); */
                   2898:   /*     fprintf(ficlog,"%.6e ",matcov[i][j]); */
                   2899:   /*   } */
                   2900:   /*   printf("\n"); */
                   2901:   /*   fprintf(ficlog,"\n"); */
                   2902:   /* } */
                   2903: 
1.126     brouard  2904:   /* Recompute Inverse */
1.203     brouard  2905:   /* for (i=1;i<=npar;i++) */
                   2906:   /*   for (j=1;j<=npar;j++) a[i][j]=matcov[i][j]; */
                   2907:   /* ludcmp(a,npar,indx,&pd); */
                   2908: 
                   2909:   /*  printf("\n#Hessian matrix recomputed#\n"); */
                   2910: 
                   2911:   /* for (j=1;j<=npar;j++) { */
                   2912:   /*   for (i=1;i<=npar;i++) x[i]=0; */
                   2913:   /*   x[j]=1; */
                   2914:   /*   lubksb(a,npar,indx,x); */
                   2915:   /*   for (i=1;i<=npar;i++){  */
                   2916:   /*     y[i][j]=x[i]; */
                   2917:   /*     printf("%.3e ",y[i][j]); */
                   2918:   /*     fprintf(ficlog,"%.3e ",y[i][j]); */
                   2919:   /*   } */
                   2920:   /*   printf("\n"); */
                   2921:   /*   fprintf(ficlog,"\n"); */
                   2922:   /* } */
                   2923: 
                   2924:   /* Verifying the inverse matrix */
                   2925: #ifdef DEBUGHESS
                   2926:   y=matprod2(y,hess,1,npar,1,npar,1,npar,matcov);
1.126     brouard  2927: 
1.203     brouard  2928:    printf("\n#Verification: multiplying the matrix of covariance by the Hessian matrix, should be unity:#\n");
                   2929:    fprintf(ficlog,"\n#Verification: multiplying the matrix of covariance by the Hessian matrix. Should be unity:#\n");
1.126     brouard  2930: 
                   2931:   for (j=1;j<=npar;j++) {
                   2932:     for (i=1;i<=npar;i++){ 
1.203     brouard  2933:       printf("%.2f ",y[i][j]);
                   2934:       fprintf(ficlog,"%.2f ",y[i][j]);
1.126     brouard  2935:     }
                   2936:     printf("\n");
                   2937:     fprintf(ficlog,"\n");
                   2938:   }
1.203     brouard  2939: #endif
1.126     brouard  2940: 
                   2941:   free_matrix(a,1,npar,1,npar);
                   2942:   free_matrix(y,1,npar,1,npar);
                   2943:   free_vector(x,1,npar);
                   2944:   free_ivector(indx,1,npar);
1.203     brouard  2945:   /* free_matrix(hess,1,npar,1,npar); */
1.126     brouard  2946: 
                   2947: 
                   2948: }
                   2949: 
                   2950: /*************** hessian matrix ****************/
                   2951: double hessii(double x[], double delta, int theta, double delti[], double (*func)(double []), int npar)
1.203     brouard  2952: { /* Around values of x, computes the function func and returns the scales delti and hessian */
1.126     brouard  2953:   int i;
                   2954:   int l=1, lmax=20;
1.203     brouard  2955:   double k1,k2, res, fx;
1.132     brouard  2956:   double p2[MAXPARM+1]; /* identical to x */
1.126     brouard  2957:   double delt=0.0001, delts, nkhi=10.,nkhif=1., khi=1.e-4;
                   2958:   int k=0,kmax=10;
                   2959:   double l1;
                   2960: 
                   2961:   fx=func(x);
                   2962:   for (i=1;i<=npar;i++) p2[i]=x[i];
1.145     brouard  2963:   for(l=0 ; l <=lmax; l++){  /* Enlarging the zone around the Maximum */
1.126     brouard  2964:     l1=pow(10,l);
                   2965:     delts=delt;
                   2966:     for(k=1 ; k <kmax; k=k+1){
                   2967:       delt = delta*(l1*k);
                   2968:       p2[theta]=x[theta] +delt;
1.145     brouard  2969:       k1=func(p2)-fx;   /* Might be negative if too close to the theoretical maximum */
1.126     brouard  2970:       p2[theta]=x[theta]-delt;
                   2971:       k2=func(p2)-fx;
                   2972:       /*res= (k1-2.0*fx+k2)/delt/delt; */
1.203     brouard  2973:       res= (k1+k2)/delt/delt/2.; /* Divided by 2 because L and not 2*L */
1.126     brouard  2974:       
1.203     brouard  2975: #ifdef DEBUGHESSII
1.126     brouard  2976:       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);
                   2977:       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);
                   2978: #endif
                   2979:       /*if(fabs(k1-2.0*fx+k2) <1.e-13){ */
                   2980:       if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)){
                   2981:        k=kmax;
                   2982:       }
                   2983:       else if((k1 >khi/nkhif) || (k2 >khi/nkhif)){ /* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. */
1.164     brouard  2984:        k=kmax; l=lmax*10;
1.126     brouard  2985:       }
                   2986:       else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){ 
                   2987:        delts=delt;
                   2988:       }
1.203     brouard  2989:     } /* End loop k */
1.126     brouard  2990:   }
                   2991:   delti[theta]=delts;
                   2992:   return res; 
                   2993:   
                   2994: }
                   2995: 
1.203     brouard  2996: double hessij( double x[], double **hess, double delti[], int thetai,int thetaj,double (*func)(double []),int npar)
1.126     brouard  2997: {
                   2998:   int i;
1.164     brouard  2999:   int l=1, lmax=20;
1.126     brouard  3000:   double k1,k2,k3,k4,res,fx;
1.132     brouard  3001:   double p2[MAXPARM+1];
1.203     brouard  3002:   int k, kmax=1;
                   3003:   double v1, v2, cv12, lc1, lc2;
1.208     brouard  3004: 
                   3005:   int firstime=0;
1.203     brouard  3006:   
1.126     brouard  3007:   fx=func(x);
1.203     brouard  3008:   for (k=1; k<=kmax; k=k+10) {
1.126     brouard  3009:     for (i=1;i<=npar;i++) p2[i]=x[i];
1.203     brouard  3010:     p2[thetai]=x[thetai]+delti[thetai]*k;
                   3011:     p2[thetaj]=x[thetaj]+delti[thetaj]*k;
1.126     brouard  3012:     k1=func(p2)-fx;
                   3013:   
1.203     brouard  3014:     p2[thetai]=x[thetai]+delti[thetai]*k;
                   3015:     p2[thetaj]=x[thetaj]-delti[thetaj]*k;
1.126     brouard  3016:     k2=func(p2)-fx;
                   3017:   
1.203     brouard  3018:     p2[thetai]=x[thetai]-delti[thetai]*k;
                   3019:     p2[thetaj]=x[thetaj]+delti[thetaj]*k;
1.126     brouard  3020:     k3=func(p2)-fx;
                   3021:   
1.203     brouard  3022:     p2[thetai]=x[thetai]-delti[thetai]*k;
                   3023:     p2[thetaj]=x[thetaj]-delti[thetaj]*k;
1.126     brouard  3024:     k4=func(p2)-fx;
1.203     brouard  3025:     res=(k1-k2-k3+k4)/4.0/delti[thetai]/k/delti[thetaj]/k/2.; /* Because of L not 2*L */
                   3026:     if(k1*k2*k3*k4 <0.){
1.208     brouard  3027:       firstime=1;
1.203     brouard  3028:       kmax=kmax+10;
1.208     brouard  3029:     }
                   3030:     if(kmax >=10 || firstime ==1){
1.203     brouard  3031:       printf("Warning: directions %d-%d, you are not estimating the Hessian at the exact maximum likelihood; increase ftol=%.2e\n",thetai,thetaj, ftol);
                   3032:       fprintf(ficlog,"Warning: directions %d-%d, you are not estimating the Hessian at the exact maximum likelihood; increase ftol=%.2e\n",thetai,thetaj, ftol);
                   3033:       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);
                   3034:       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);
                   3035:     }
                   3036: #ifdef DEBUGHESSIJ
                   3037:     v1=hess[thetai][thetai];
                   3038:     v2=hess[thetaj][thetaj];
                   3039:     cv12=res;
                   3040:     /* Computing eigen value of Hessian matrix */
                   3041:     lc1=((v1+v2)+sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                   3042:     lc2=((v1+v2)-sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                   3043:     if ((lc2 <0) || (lc1 <0) ){
                   3044:       printf("Warning: sub Hessian matrix '%d%d' does not have positive eigen values \n",thetai,thetaj);
                   3045:       fprintf(ficlog, "Warning: sub Hessian matrix '%d%d' does not have positive eigen values \n",thetai,thetaj);
                   3046:       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);
                   3047:       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);
                   3048:     }
1.126     brouard  3049: #endif
                   3050:   }
                   3051:   return res;
                   3052: }
                   3053: 
1.203     brouard  3054:     /* Not done yet: Was supposed to fix if not exactly at the maximum */
                   3055: /* double hessij( double x[], double delti[], int thetai,int thetaj,double (*func)(double []),int npar) */
                   3056: /* { */
                   3057: /*   int i; */
                   3058: /*   int l=1, lmax=20; */
                   3059: /*   double k1,k2,k3,k4,res,fx; */
                   3060: /*   double p2[MAXPARM+1]; */
                   3061: /*   double delt=0.0001, delts, nkhi=10.,nkhif=1., khi=1.e-4; */
                   3062: /*   int k=0,kmax=10; */
                   3063: /*   double l1; */
                   3064:   
                   3065: /*   fx=func(x); */
                   3066: /*   for(l=0 ; l <=lmax; l++){  /\* Enlarging the zone around the Maximum *\/ */
                   3067: /*     l1=pow(10,l); */
                   3068: /*     delts=delt; */
                   3069: /*     for(k=1 ; k <kmax; k=k+1){ */
                   3070: /*       delt = delti*(l1*k); */
                   3071: /*       for (i=1;i<=npar;i++) p2[i]=x[i]; */
                   3072: /*       p2[thetai]=x[thetai]+delti[thetai]/k; */
                   3073: /*       p2[thetaj]=x[thetaj]+delti[thetaj]/k; */
                   3074: /*       k1=func(p2)-fx; */
                   3075:       
                   3076: /*       p2[thetai]=x[thetai]+delti[thetai]/k; */
                   3077: /*       p2[thetaj]=x[thetaj]-delti[thetaj]/k; */
                   3078: /*       k2=func(p2)-fx; */
                   3079:       
                   3080: /*       p2[thetai]=x[thetai]-delti[thetai]/k; */
                   3081: /*       p2[thetaj]=x[thetaj]+delti[thetaj]/k; */
                   3082: /*       k3=func(p2)-fx; */
                   3083:       
                   3084: /*       p2[thetai]=x[thetai]-delti[thetai]/k; */
                   3085: /*       p2[thetaj]=x[thetaj]-delti[thetaj]/k; */
                   3086: /*       k4=func(p2)-fx; */
                   3087: /*       res=(k1-k2-k3+k4)/4.0/delti[thetai]*k/delti[thetaj]*k/2.; /\* Because of L not 2*L *\/ */
                   3088: /* #ifdef DEBUGHESSIJ */
                   3089: /*       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); */
                   3090: /*       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); */
                   3091: /* #endif */
                   3092: /*       if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)|| (k4 <khi/nkhi/2.)|| (k4 <khi/nkhi/2.)){ */
                   3093: /*     k=kmax; */
                   3094: /*       } */
                   3095: /*       else if((k1 >khi/nkhif) || (k2 >khi/nkhif) || (k4 >khi/nkhif) || (k4 >khi/nkhif)){ /\* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. *\/ */
                   3096: /*     k=kmax; l=lmax*10; */
                   3097: /*       } */
                   3098: /*       else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){  */
                   3099: /*     delts=delt; */
                   3100: /*       } */
                   3101: /*     } /\* End loop k *\/ */
                   3102: /*   } */
                   3103: /*   delti[theta]=delts; */
                   3104: /*   return res;  */
                   3105: /* } */
                   3106: 
                   3107: 
1.126     brouard  3108: /************** Inverse of matrix **************/
                   3109: void ludcmp(double **a, int n, int *indx, double *d) 
                   3110: { 
                   3111:   int i,imax,j,k; 
                   3112:   double big,dum,sum,temp; 
                   3113:   double *vv; 
                   3114:  
                   3115:   vv=vector(1,n); 
                   3116:   *d=1.0; 
                   3117:   for (i=1;i<=n;i++) { 
                   3118:     big=0.0; 
                   3119:     for (j=1;j<=n;j++) 
                   3120:       if ((temp=fabs(a[i][j])) > big) big=temp; 
                   3121:     if (big == 0.0) nrerror("Singular matrix in routine ludcmp"); 
                   3122:     vv[i]=1.0/big; 
                   3123:   } 
                   3124:   for (j=1;j<=n;j++) { 
                   3125:     for (i=1;i<j;i++) { 
                   3126:       sum=a[i][j]; 
                   3127:       for (k=1;k<i;k++) sum -= a[i][k]*a[k][j]; 
                   3128:       a[i][j]=sum; 
                   3129:     } 
                   3130:     big=0.0; 
                   3131:     for (i=j;i<=n;i++) { 
                   3132:       sum=a[i][j]; 
                   3133:       for (k=1;k<j;k++) 
                   3134:        sum -= a[i][k]*a[k][j]; 
                   3135:       a[i][j]=sum; 
                   3136:       if ( (dum=vv[i]*fabs(sum)) >= big) { 
                   3137:        big=dum; 
                   3138:        imax=i; 
                   3139:       } 
                   3140:     } 
                   3141:     if (j != imax) { 
                   3142:       for (k=1;k<=n;k++) { 
                   3143:        dum=a[imax][k]; 
                   3144:        a[imax][k]=a[j][k]; 
                   3145:        a[j][k]=dum; 
                   3146:       } 
                   3147:       *d = -(*d); 
                   3148:       vv[imax]=vv[j]; 
                   3149:     } 
                   3150:     indx[j]=imax; 
                   3151:     if (a[j][j] == 0.0) a[j][j]=TINY; 
                   3152:     if (j != n) { 
                   3153:       dum=1.0/(a[j][j]); 
                   3154:       for (i=j+1;i<=n;i++) a[i][j] *= dum; 
                   3155:     } 
                   3156:   } 
                   3157:   free_vector(vv,1,n);  /* Doesn't work */
                   3158: ;
                   3159: } 
                   3160: 
                   3161: void lubksb(double **a, int n, int *indx, double b[]) 
                   3162: { 
                   3163:   int i,ii=0,ip,j; 
                   3164:   double sum; 
                   3165:  
                   3166:   for (i=1;i<=n;i++) { 
                   3167:     ip=indx[i]; 
                   3168:     sum=b[ip]; 
                   3169:     b[ip]=b[i]; 
                   3170:     if (ii) 
                   3171:       for (j=ii;j<=i-1;j++) sum -= a[i][j]*b[j]; 
                   3172:     else if (sum) ii=i; 
                   3173:     b[i]=sum; 
                   3174:   } 
                   3175:   for (i=n;i>=1;i--) { 
                   3176:     sum=b[i]; 
                   3177:     for (j=i+1;j<=n;j++) sum -= a[i][j]*b[j]; 
                   3178:     b[i]=sum/a[i][i]; 
                   3179:   } 
                   3180: } 
                   3181: 
                   3182: void pstamp(FILE *fichier)
                   3183: {
1.196     brouard  3184:   fprintf(fichier,"# %s.%s\n#IMaCh version %s, %s\n#%s\n# %s", optionfilefiname,optionfilext,version,copyright, fullversion, strstart);
1.126     brouard  3185: }
                   3186: 
                   3187: /************ Frequencies ********************/
                   3188: void  freqsummary(char fileres[], int iagemin, int iagemax, int **s, double **agev, int nlstate, int imx, int *Tvaraff, int **nbcode, int *ncodemax,double **mint,double **anint, char strstart[])
                   3189: {  /* Some frequencies */
                   3190:   
1.164     brouard  3191:   int i, m, jk, j1, bool, z1,j;
1.126     brouard  3192:   int first;
                   3193:   double ***freq; /* Frequencies */
                   3194:   double *pp, **prop;
                   3195:   double pos,posprop, k2, dateintsum=0,k2cpt=0;
                   3196:   char fileresp[FILENAMELENGTH];
                   3197:   
                   3198:   pp=vector(1,nlstate);
                   3199:   prop=matrix(1,nlstate,iagemin,iagemax+3);
1.201     brouard  3200:   strcpy(fileresp,"P_");
                   3201:   strcat(fileresp,fileresu);
1.126     brouard  3202:   if((ficresp=fopen(fileresp,"w"))==NULL) {
                   3203:     printf("Problem with prevalence resultfile: %s\n", fileresp);
                   3204:     fprintf(ficlog,"Problem with prevalence resultfile: %s\n", fileresp);
                   3205:     exit(0);
                   3206:   }
                   3207:   freq= ma3x(-5,nlstate+ndeath,-5,nlstate+ndeath,iagemin,iagemax+3);
                   3208:   j1=0;
                   3209:   
                   3210:   j=cptcoveff;
                   3211:   if (cptcovn<1) {j=1;ncodemax[1]=1;}
                   3212: 
                   3213:   first=1;
                   3214: 
1.169     brouard  3215:   /* for(k1=1; k1<=j ; k1++){ */  /* Loop on covariates */
                   3216:   /*  for(i1=1; i1<=ncodemax[k1];i1++){ */ /* Now it is 2 */
                   3217:   /*    j1++; */
1.145     brouard  3218:   for (j1 = 1; j1 <= (int) pow(2,cptcoveff); j1++){
1.126     brouard  3219:       /*printf("cptcoveff=%d Tvaraff=%d", cptcoveff,Tvaraff[1]);
                   3220:        scanf("%d", i);*/
                   3221:       for (i=-5; i<=nlstate+ndeath; i++)  
                   3222:        for (jk=-5; jk<=nlstate+ndeath; jk++)  
                   3223:          for(m=iagemin; m <= iagemax+3; m++)
                   3224:            freq[i][jk][m]=0;
1.143     brouard  3225:       
                   3226:       for (i=1; i<=nlstate; i++)  
                   3227:        for(m=iagemin; m <= iagemax+3; m++)
                   3228:          prop[i][m]=0;
1.126     brouard  3229:       
                   3230:       dateintsum=0;
                   3231:       k2cpt=0;
                   3232:       for (i=1; i<=imx; i++) {
                   3233:        bool=1;
1.210     brouard  3234:        if (cptcovn>0) { /* Filter is here: Must be looked at for model=V1+V2+V3+V4 */
1.144     brouard  3235:          for (z1=1; z1<=cptcoveff; z1++)       
1.198     brouard  3236:             if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]){
1.145     brouard  3237:                 /* Tests if the value of each of the covariates of i is equal to filter j1 */
1.144     brouard  3238:               bool=0;
1.198     brouard  3239:               /* 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", 
                   3240:                 bool,i,z1, z1, Tvaraff[z1],i,covar[Tvaraff[z1]][i],j1,z1,codtabm(j1,z1),
                   3241:                 j1,z1,nbcode[Tvaraff[z1]][codtabm(j1,z1)],j1);*/
                   3242:               /* For j1=7 in V1+V2+V3+V4 = 0 1 1 0 and codtabm(7,3)=1 and nbcde[3][?]=1*/
1.144     brouard  3243:             } 
1.210     brouard  3244:        } /* cptcovn > 0 */
1.144     brouard  3245:  
1.126     brouard  3246:        if (bool==1){
                   3247:          for(m=firstpass; m<=lastpass; m++){
                   3248:            k2=anint[m][i]+(mint[m][i]/12.);
                   3249:            /*if ((k2>=dateprev1) && (k2<=dateprev2)) {*/
                   3250:              if(agev[m][i]==0) agev[m][i]=iagemax+1;
                   3251:              if(agev[m][i]==1) agev[m][i]=iagemax+2;
                   3252:              if (s[m][i]>0 && s[m][i]<=nlstate) prop[s[m][i]][(int)agev[m][i]] += weight[i];
                   3253:              if (m<lastpass) {
                   3254:                freq[s[m][i]][s[m+1][i]][(int)agev[m][i]] += weight[i];
                   3255:                freq[s[m][i]][s[m+1][i]][iagemax+3] += weight[i];
                   3256:              }
                   3257:              
1.210     brouard  3258:              if ((agev[m][i]>1) && (agev[m][i]< (iagemax+3)) && (anint[m][i]!=9999) && (mint[m][i]!=99)) {
1.126     brouard  3259:                dateintsum=dateintsum+k2;
                   3260:                k2cpt++;
1.210     brouard  3261:                /* printf("i=%ld dateintmean = %lf dateintsum=%lf k2cpt=%lf k2=%lf\n",i, dateintsum/k2cpt, dateintsum,k2cpt, k2); */
1.126     brouard  3262:              }
                   3263:              /*}*/
1.210     brouard  3264:          } /* end m */
                   3265:        } /* end bool */
                   3266:       } /* end i = 1 to imx */
1.126     brouard  3267:        
                   3268:       /*      fprintf(ficresp, "#Count between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);*/
                   3269:       pstamp(ficresp);
                   3270:       if  (cptcovn>0) {
                   3271:        fprintf(ficresp, "\n#********** Variable "); 
1.198     brouard  3272:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresp, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.126     brouard  3273:        fprintf(ficresp, "**********\n#");
1.143     brouard  3274:        fprintf(ficlog, "\n#********** Variable "); 
1.198     brouard  3275:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficlog, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.143     brouard  3276:        fprintf(ficlog, "**********\n#");
1.126     brouard  3277:       }
                   3278:       for(i=1; i<=nlstate;i++) 
                   3279:        fprintf(ficresp, " Age Prev(%d) N(%d) N",i,i);
                   3280:       fprintf(ficresp, "\n");
                   3281:       
                   3282:       for(i=iagemin; i <= iagemax+3; i++){
                   3283:        if(i==iagemax+3){
                   3284:          fprintf(ficlog,"Total");
                   3285:        }else{
                   3286:          if(first==1){
                   3287:            first=0;
                   3288:            printf("See log file for details...\n");
                   3289:          }
                   3290:          fprintf(ficlog,"Age %d", i);
                   3291:        }
                   3292:        for(jk=1; jk <=nlstate ; jk++){
                   3293:          for(m=-1, pp[jk]=0; m <=nlstate+ndeath ; m++)
                   3294:            pp[jk] += freq[jk][m][i]; 
                   3295:        }
                   3296:        for(jk=1; jk <=nlstate ; jk++){
                   3297:          for(m=-1, pos=0; m <=0 ; m++)
                   3298:            pos += freq[jk][m][i];
                   3299:          if(pp[jk]>=1.e-10){
                   3300:            if(first==1){
1.132     brouard  3301:              printf(" %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);
1.126     brouard  3302:            }
                   3303:            fprintf(ficlog," %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);
                   3304:          }else{
                   3305:            if(first==1)
                   3306:              printf(" %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);
                   3307:            fprintf(ficlog," %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);
                   3308:          }
                   3309:        }
                   3310: 
                   3311:        for(jk=1; jk <=nlstate ; jk++){
                   3312:          for(m=0, pp[jk]=0; m <=nlstate+ndeath; m++)
                   3313:            pp[jk] += freq[jk][m][i];
                   3314:        }       
                   3315:        for(jk=1,pos=0,posprop=0; jk <=nlstate ; jk++){
                   3316:          pos += pp[jk];
                   3317:          posprop += prop[jk][i];
                   3318:        }
                   3319:        for(jk=1; jk <=nlstate ; jk++){
                   3320:          if(pos>=1.e-5){
                   3321:            if(first==1)
                   3322:              printf(" %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);
                   3323:            fprintf(ficlog," %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);
                   3324:          }else{
                   3325:            if(first==1)
                   3326:              printf(" %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);
                   3327:            fprintf(ficlog," %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);
                   3328:          }
                   3329:          if( i <= iagemax){
                   3330:            if(pos>=1.e-5){
                   3331:              fprintf(ficresp," %d %.5f %.0f %.0f",i,prop[jk][i]/posprop, prop[jk][i],posprop);
                   3332:              /*probs[i][jk][j1]= pp[jk]/pos;*/
                   3333:              /*printf("\ni=%d jk=%d j1=%d %.5f %.0f %.0f %f",i,jk,j1,pp[jk]/pos, pp[jk],pos,probs[i][jk][j1]);*/
                   3334:            }
                   3335:            else
                   3336:              fprintf(ficresp," %d NaNq %.0f %.0f",i,prop[jk][i],posprop);
                   3337:          }
                   3338:        }
                   3339:        
                   3340:        for(jk=-1; jk <=nlstate+ndeath; jk++)
                   3341:          for(m=-1; m <=nlstate+ndeath; m++)
                   3342:            if(freq[jk][m][i] !=0 ) {
                   3343:            if(first==1)
                   3344:              printf(" %d%d=%.0f",jk,m,freq[jk][m][i]);
                   3345:              fprintf(ficlog," %d%d=%.0f",jk,m,freq[jk][m][i]);
                   3346:            }
                   3347:        if(i <= iagemax)
                   3348:          fprintf(ficresp,"\n");
                   3349:        if(first==1)
                   3350:          printf("Others in log...\n");
                   3351:        fprintf(ficlog,"\n");
1.210     brouard  3352:       } /* end loop i */
1.145     brouard  3353:       /*}*/
1.210     brouard  3354:   } /* end j1 */
1.126     brouard  3355:   dateintmean=dateintsum/k2cpt; 
                   3356:  
                   3357:   fclose(ficresp);
                   3358:   free_ma3x(freq,-5,nlstate+ndeath,-5,nlstate+ndeath, iagemin, iagemax+3);
                   3359:   free_vector(pp,1,nlstate);
                   3360:   free_matrix(prop,1,nlstate,iagemin, iagemax+3);
                   3361:   /* End of Freq */
                   3362: }
                   3363: 
                   3364: /************ Prevalence ********************/
                   3365: 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)
                   3366: {  
                   3367:   /* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people
                   3368:      in each health status at the date of interview (if between dateprev1 and dateprev2).
                   3369:      We still use firstpass and lastpass as another selection.
                   3370:   */
                   3371:  
1.164     brouard  3372:   int i, m, jk, j1, bool, z1,j;
                   3373: 
                   3374:   double **prop;
                   3375:   double posprop; 
1.126     brouard  3376:   double  y2; /* in fractional years */
                   3377:   int iagemin, iagemax;
1.145     brouard  3378:   int first; /** to stop verbosity which is redirected to log file */
1.126     brouard  3379: 
                   3380:   iagemin= (int) agemin;
                   3381:   iagemax= (int) agemax;
                   3382:   /*pp=vector(1,nlstate);*/
                   3383:   prop=matrix(1,nlstate,iagemin,iagemax+3); 
                   3384:   /*  freq=ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,iagemin,iagemax+3);*/
                   3385:   j1=0;
                   3386:   
1.145     brouard  3387:   /*j=cptcoveff;*/
1.126     brouard  3388:   if (cptcovn<1) {j=1;ncodemax[1]=1;}
                   3389:   
1.145     brouard  3390:   first=1;
                   3391:   for(j1=1; j1<= (int) pow(2,cptcoveff);j1++){
                   3392:     /*for(i1=1; i1<=ncodemax[k1];i1++){
                   3393:       j1++;*/
1.126     brouard  3394:       
                   3395:       for (i=1; i<=nlstate; i++)  
                   3396:        for(m=iagemin; m <= iagemax+3; m++)
                   3397:          prop[i][m]=0.0;
                   3398:      
                   3399:       for (i=1; i<=imx; i++) { /* Each individual */
                   3400:        bool=1;
                   3401:        if  (cptcovn>0) {
                   3402:          for (z1=1; z1<=cptcoveff; z1++) 
1.198     brouard  3403:            if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]) 
1.126     brouard  3404:              bool=0;
                   3405:        } 
                   3406:        if (bool==1) { 
                   3407:          for(m=firstpass; m<=lastpass; m++){/* Other selection (we can limit to certain interviews*/
                   3408:            y2=anint[m][i]+(mint[m][i]/12.); /* Fractional date in year */
                   3409:            if ((y2>=dateprev1) && (y2<=dateprev2)) { /* Here is the main selection (fractional years) */
                   3410:              if(agev[m][i]==0) agev[m][i]=iagemax+1;
                   3411:              if(agev[m][i]==1) agev[m][i]=iagemax+2;
                   3412:              if((int)agev[m][i] <iagemin || (int)agev[m][i] >iagemax+3) printf("Error on individual =%d agev[m][i]=%f m=%d\n",i, agev[m][i],m); 
                   3413:              if (s[m][i]>0 && s[m][i]<=nlstate) { 
                   3414:                /*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]]);*/
                   3415:                prop[s[m][i]][(int)agev[m][i]] += weight[i];
                   3416:                prop[s[m][i]][iagemax+3] += weight[i]; 
                   3417:              } 
                   3418:            }
                   3419:          } /* end selection of waves */
                   3420:        }
                   3421:       }
                   3422:       for(i=iagemin; i <= iagemax+3; i++){  
                   3423:        for(jk=1,posprop=0; jk <=nlstate ; jk++) { 
                   3424:          posprop += prop[jk][i]; 
                   3425:        } 
1.145     brouard  3426:        
1.126     brouard  3427:        for(jk=1; jk <=nlstate ; jk++){     
                   3428:          if( i <=  iagemax){ 
                   3429:            if(posprop>=1.e-5){ 
                   3430:              probs[i][jk][j1]= prop[jk][i]/posprop;
1.145     brouard  3431:            } else{
                   3432:              if(first==1){
                   3433:                first=0;
                   3434:                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]);
                   3435:              }
                   3436:            }
1.126     brouard  3437:          } 
                   3438:        }/* end jk */ 
                   3439:       }/* end i */ 
1.145     brouard  3440:     /*} *//* end i1 */
                   3441:   } /* end j1 */
1.126     brouard  3442:   
                   3443:   /*  free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath, iagemin, iagemax+3);*/
                   3444:   /*free_vector(pp,1,nlstate);*/
                   3445:   free_matrix(prop,1,nlstate, iagemin,iagemax+3);
                   3446: }  /* End of prevalence */
                   3447: 
                   3448: /************* Waves Concatenation ***************/
                   3449: 
                   3450: 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)
                   3451: {
                   3452:   /* Concatenates waves: wav[i] is the number of effective (useful waves) of individual i.
                   3453:      Death is a valid wave (if date is known).
                   3454:      mw[mi][i] is the mi (mi=1 to wav[i])  effective wave of individual i
                   3455:      dh[m][i] or dh[mw[mi][i]][i] is the delay between two effective waves m=mw[mi][i]
                   3456:      and mw[mi+1][i]. dh depends on stepm.
                   3457:      */
                   3458: 
                   3459:   int i, mi, m;
                   3460:   /* int j, k=0,jk, ju, jl,jmin=1e+5, jmax=-1;
                   3461:      double sum=0., jmean=0.;*/
                   3462:   int first;
                   3463:   int j, k=0,jk, ju, jl;
                   3464:   double sum=0.;
                   3465:   first=0;
1.164     brouard  3466:   jmin=100000;
1.126     brouard  3467:   jmax=-1;
                   3468:   jmean=0.;
                   3469:   for(i=1; i<=imx; i++){
                   3470:     mi=0;
                   3471:     m=firstpass;
                   3472:     while(s[m][i] <= nlstate){
                   3473:       if(s[m][i]>=1 || s[m][i]==-2 || s[m][i]==-4 || s[m][i]==-5)
                   3474:        mw[++mi][i]=m;
                   3475:       if(m >=lastpass)
                   3476:        break;
                   3477:       else
                   3478:        m++;
                   3479:     }/* end while */
                   3480:     if (s[m][i] > nlstate){
                   3481:       mi++;    /* Death is another wave */
                   3482:       /* if(mi==0)  never been interviewed correctly before death */
                   3483:         /* Only death is a correct wave */
                   3484:       mw[mi][i]=m;
                   3485:     }
                   3486: 
                   3487:     wav[i]=mi;
                   3488:     if(mi==0){
                   3489:       nbwarn++;
                   3490:       if(first==0){
                   3491:        printf("Warning! No valid information for individual %ld line=%d (skipped) and may be others, see log file\n",num[i],i);
                   3492:        first=1;
                   3493:       }
                   3494:       if(first==1){
                   3495:        fprintf(ficlog,"Warning! No valid information for individual %ld line=%d (skipped)\n",num[i],i);
                   3496:       }
                   3497:     } /* end mi==0 */
                   3498:   } /* End individuals */
                   3499: 
                   3500:   for(i=1; i<=imx; i++){
                   3501:     for(mi=1; mi<wav[i];mi++){
                   3502:       if (stepm <=0)
                   3503:        dh[mi][i]=1;
                   3504:       else{
                   3505:        if (s[mw[mi+1][i]][i] > nlstate) { /* A death */
                   3506:          if (agedc[i] < 2*AGESUP) {
                   3507:            j= rint(agedc[i]*12-agev[mw[mi][i]][i]*12); 
                   3508:            if(j==0) j=1;  /* Survives at least one month after exam */
                   3509:            else if(j<0){
                   3510:              nberr++;
                   3511:              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]);
                   3512:              j=1; /* Temporary Dangerous patch */
                   3513:              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);
                   3514:              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]);
                   3515:              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);
                   3516:            }
                   3517:            k=k+1;
                   3518:            if (j >= jmax){
                   3519:              jmax=j;
                   3520:              ijmax=i;
                   3521:            }
                   3522:            if (j <= jmin){
                   3523:              jmin=j;
                   3524:              ijmin=i;
                   3525:            }
                   3526:            sum=sum+j;
                   3527:            /*if (j<0) printf("j=%d num=%d \n",j,i);*/
                   3528:            /*    printf("%d %d %d %d\n", s[mw[mi][i]][i] ,s[mw[mi+1][i]][i],j,i);*/
                   3529:          }
                   3530:        }
                   3531:        else{
                   3532:          j= rint( (agev[mw[mi+1][i]][i]*12 - agev[mw[mi][i]][i]*12));
                   3533: /*       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]); */
                   3534: 
                   3535:          k=k+1;
                   3536:          if (j >= jmax) {
                   3537:            jmax=j;
                   3538:            ijmax=i;
                   3539:          }
                   3540:          else if (j <= jmin){
                   3541:            jmin=j;
                   3542:            ijmin=i;
                   3543:          }
                   3544:          /*        if (j<10) printf("j=%d jmin=%d num=%d ",j,jmin,i); */
                   3545:          /*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]);*/
                   3546:          if(j<0){
                   3547:            nberr++;
                   3548:            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]);
                   3549:            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]);
                   3550:          }
                   3551:          sum=sum+j;
                   3552:        }
                   3553:        jk= j/stepm;
                   3554:        jl= j -jk*stepm;
                   3555:        ju= j -(jk+1)*stepm;
                   3556:        if(mle <=1){ /* only if we use a the linear-interpoloation pseudo-likelihood */
                   3557:          if(jl==0){
                   3558:            dh[mi][i]=jk;
                   3559:            bh[mi][i]=0;
                   3560:          }else{ /* We want a negative bias in order to only have interpolation ie
1.136     brouard  3561:                  * to avoid the price of an extra matrix product in likelihood */
1.126     brouard  3562:            dh[mi][i]=jk+1;
                   3563:            bh[mi][i]=ju;
                   3564:          }
                   3565:        }else{
                   3566:          if(jl <= -ju){
                   3567:            dh[mi][i]=jk;
                   3568:            bh[mi][i]=jl;       /* bias is positive if real duration
                   3569:                                 * is higher than the multiple of stepm and negative otherwise.
                   3570:                                 */
                   3571:          }
                   3572:          else{
                   3573:            dh[mi][i]=jk+1;
                   3574:            bh[mi][i]=ju;
                   3575:          }
                   3576:          if(dh[mi][i]==0){
                   3577:            dh[mi][i]=1; /* At least one step */
                   3578:            bh[mi][i]=ju; /* At least one step */
                   3579:            /*  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);*/
                   3580:          }
                   3581:        } /* end if mle */
                   3582:       }
                   3583:     } /* end wave */
                   3584:   }
                   3585:   jmean=sum/k;
                   3586:   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  3587:   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  3588:  }
                   3589: 
                   3590: /*********** Tricode ****************************/
1.145     brouard  3591: void tricode(int *Tvar, int **nbcode, int imx, int *Ndum)
1.126     brouard  3592: {
1.144     brouard  3593:   /**< Uses cptcovn+2*cptcovprod as the number of covariates */
                   3594:   /*     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  3595:    * Boring subroutine which should only output nbcode[Tvar[j]][k]
1.145     brouard  3596:    * Tvar[5] in V2+V1+V3*age+V2*V4 is 2 (V2)
1.169     brouard  3597:    * nbcode[Tvar[j]][1]= 
1.144     brouard  3598:   */
1.130     brouard  3599: 
1.145     brouard  3600:   int ij=1, k=0, j=0, i=0, maxncov=NCOVMAX;
1.136     brouard  3601:   int modmaxcovj=0; /* Modality max of covariates j */
1.145     brouard  3602:   int cptcode=0; /* Modality max of covariates j */
                   3603:   int modmincovj=0; /* Modality min of covariates j */
                   3604: 
                   3605: 
1.126     brouard  3606:   cptcoveff=0; 
                   3607:  
1.144     brouard  3608:   for (k=1; k <= maxncov; k++) ncodemax[k]=0; /* Horrible constant again replaced by NCOVMAX */
1.126     brouard  3609: 
1.145     brouard  3610:   /* Loop on covariates without age and products */
1.186     brouard  3611:   for (j=1; j<=(cptcovs); j++) { /* From model V1 + V2*age+ V3 + V3*V4 keeps V1 + V3 = 2 only */
1.192     brouard  3612:     for (k=-1; k < maxncov; k++) Ndum[k]=0;
1.186     brouard  3613:     for (i=1; i<=imx; i++) { /* Loop on individuals: reads the data file to get the maximum value of the 
1.136     brouard  3614:                               modality of this covariate Vj*/ 
1.145     brouard  3615:       ij=(int)(covar[Tvar[j]][i]); /* ij=0 or 1 or -1. Value of the covariate Tvar[j] for individual i
                   3616:                                    * If product of Vn*Vm, still boolean *:
                   3617:                                    * If it was coded 1, 2, 3, 4 should be splitted into 3 boolean variables
                   3618:                                    * 1 => 0 0 0, 2 => 0 0 1, 3 => 0 1 1, 4=1 0 0   */
                   3619:       /* Finds for covariate j, n=Tvar[j] of Vn . ij is the
1.136     brouard  3620:                                      modality of the nth covariate of individual i. */
1.145     brouard  3621:       if (ij > modmaxcovj)
                   3622:         modmaxcovj=ij; 
                   3623:       else if (ij < modmincovj) 
                   3624:        modmincovj=ij; 
                   3625:       if ((ij < -1) && (ij > NCOVMAX)){
                   3626:        printf( "Error: minimal is less than -1 or maximal is bigger than %d. Exiting. \n", NCOVMAX );
                   3627:        exit(1);
                   3628:       }else
1.136     brouard  3629:       Ndum[ij]++; /*counts and stores the occurence of this modality 0, 1, -1*/
1.145     brouard  3630:       /*  If coded 1, 2, 3 , counts the number of 1 Ndum[1], number of 2, Ndum[2], etc */
1.126     brouard  3631:       /*printf("i=%d ij=%d Ndum[ij]=%d imx=%d",i,ij,Ndum[ij],imx);*/
1.136     brouard  3632:       /* getting the maximum value of the modality of the covariate
                   3633:         (should be 0 or 1 now) Tvar[j]. If V=sex and male is coded 0 and
                   3634:         female is 1, then modmaxcovj=1.*/
1.192     brouard  3635:     } /* end for loop on individuals i */
1.145     brouard  3636:     printf(" Minimal and maximal values of %d th covariate V%d: min=%d max=%d \n", j, Tvar[j], modmincovj, modmaxcovj);
1.192     brouard  3637:     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  3638:     cptcode=modmaxcovj;
1.137     brouard  3639:     /* Ndum[0] = frequency of 0 for model-covariate j, Ndum[1] frequency of 1 etc. */
1.145     brouard  3640:    /*for (i=0; i<=cptcode; i++) {*/
1.192     brouard  3641:     for (k=modmincovj;  k<=modmaxcovj; k++) { /* k=-1 ? 0 and 1*//* For each value k of the modality of model-cov j */
                   3642:       printf("Frequencies of covariates %d ie V%d with value %d: %d\n", j, Tvar[j], k, Ndum[k]);
                   3643:       fprintf(ficlog, "Frequencies of covariates %d ie V%d with value %d: %d\n", j, Tvar[j], k, Ndum[k]);
                   3644:       if( Ndum[k] != 0 ){ /* Counts if nobody answered modality k ie empty modality, we skip it and reorder */
                   3645:        if( k != -1){
                   3646:          ncodemax[j]++;  /* ncodemax[j]= Number of modalities of the j th
                   3647:                             covariate for which somebody answered excluding 
                   3648:                             undefined. Usually 2: 0 and 1. */
                   3649:        }
                   3650:        ncodemaxwundef[j]++; /* ncodemax[j]= Number of modalities of the j th
                   3651:                             covariate for which somebody answered including 
                   3652:                             undefined. Usually 3: -1, 0 and 1. */
1.145     brouard  3653:       }
                   3654:       /* In fact  ncodemax[j]=2 (dichotom. variables only) but it could be more for
                   3655:         historical reasons: 3 if coded 1, 2, 3 and 4 and Ndum[2]=0 */
1.131     brouard  3656:     } /* Ndum[-1] number of undefined modalities */
1.126     brouard  3657: 
1.136     brouard  3658:     /* j is a covariate, n=Tvar[j] of Vn; Fills nbcode */
1.186     brouard  3659:     /* For covariate j, modalities could be 1, 2, 3, 4, 5, 6, 7. 
                   3660:        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  3661:        modmincovj=3; modmaxcovj = 7;
1.186     brouard  3662:        There are only 3 modalities non empty 3, 6, 7 (or 2 if 27 is too few) : ncodemax[j]=3;
                   3663:        which will be coded 0, 1, 2 which in binary on 2=3-1 digits are 0=00 1=01, 2=10;
                   3664:        defining two dummy variables: variables V1_1 and V1_2.
1.145     brouard  3665:        nbcode[Tvar[j]][ij]=k;
                   3666:        nbcode[Tvar[j]][1]=0;
                   3667:        nbcode[Tvar[j]][2]=1;
                   3668:        nbcode[Tvar[j]][3]=2;
1.197     brouard  3669:        To be continued (not working yet).
1.145     brouard  3670:     */
1.197     brouard  3671:     ij=0; /* ij is similar to i but can jump over null modalities */
                   3672:     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*/
                   3673:        if (Ndum[i] == 0) { /* If nobody responded to this modality k */
1.192     brouard  3674:          break;
                   3675:        }
                   3676:        ij++;
1.197     brouard  3677:        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  3678:        cptcode = ij; /* New max modality for covar j */
                   3679:     } /* end of loop on modality i=-1 to 1 or more */
                   3680:       
                   3681:     /*   for (k=0; k<= cptcode; k++) { /\* k=-1 ? k=0 to 1 *\//\* Could be 1 to 4 *\//\* cptcode=modmaxcovj *\/ */
                   3682:     /*         /\*recode from 0 *\/ */
                   3683:     /*                                      k is a modality. If we have model=V1+V1*sex  */
                   3684:     /*                                      then: nbcode[1][1]=0 ; nbcode[1][2]=1; nbcode[2][1]=0 ; nbcode[2][2]=1; */
                   3685:     /*                                   But if some modality were not used, it is recoded from 0 to a newer modmaxcovj=cptcode *\/ */
                   3686:     /*         } */
                   3687:     /*         /\* cptcode = ij; *\/ /\* New max modality for covar j *\/ */
                   3688:     /*         if (ij > ncodemax[j]) { */
                   3689:     /*           printf( " Error ij=%d > ncodemax[%d]=%d\n", ij, j, ncodemax[j]);  */
                   3690:     /*           fprintf(ficlog, " Error ij=%d > ncodemax[%d]=%d\n", ij, j, ncodemax[j]); */
                   3691:     /*           break; */
                   3692:     /*         } */
                   3693:     /*   }  /\* end of loop on modality k *\/ */
1.137     brouard  3694:   } /* end of loop on model-covariate j. nbcode[Tvarj][1]=0 and nbcode[Tvarj][2]=1 sets the value of covariate j*/  
                   3695:   
1.145     brouard  3696:  for (k=-1; k< maxncov; k++) Ndum[k]=0; 
1.137     brouard  3697:   
1.187     brouard  3698:   for (i=1; i<=ncovmodel-2-nagesqr; i++) { /* -2, cste and age and eventually age*age */ 
1.145     brouard  3699:    /* Listing of all covariables in statement model to see if some covariates appear twice. For example, V1 appears twice in V1+V1*V2.*/ 
                   3700:    ij=Tvar[i]; /* Tvar might be -1 if status was unknown */ 
1.187     brouard  3701:    Ndum[ij]++; /* Might be supersed V1 + V1*age */
1.145     brouard  3702:  } 
1.126     brouard  3703: 
1.192     brouard  3704:  ij=0;
1.145     brouard  3705:  for (i=0; i<=  maxncov-1; i++) { /* modmaxcovj is unknown here. Only Ndum[2(V2),3(age*V3), 5(V3*V2) 6(V1*V4) */
                   3706:    /*printf("Ndum[%d]=%d\n",i, Ndum[i]);*/
1.126     brouard  3707:    if((Ndum[i]!=0) && (i<=ncovcol)){
1.192     brouard  3708:      ij++;
1.145     brouard  3709:      /*printf("diff Ndum[%d]=%d\n",i, Ndum[i]);*/
                   3710:      Tvaraff[ij]=i; /*For printing (unclear) */
1.192     brouard  3711:    }else{
                   3712:        /* Tvaraff[ij]=0; */
                   3713:    }
1.126     brouard  3714:  }
1.192     brouard  3715:  /* ij--; */
1.144     brouard  3716:  cptcoveff=ij; /*Number of total covariates*/
1.145     brouard  3717: 
1.126     brouard  3718: }
                   3719: 
1.145     brouard  3720: 
1.126     brouard  3721: /*********** Health Expectancies ****************/
                   3722: 
1.127     brouard  3723: 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  3724: 
                   3725: {
                   3726:   /* Health expectancies, no variances */
1.164     brouard  3727:   int i, j, nhstepm, hstepm, h, nstepm;
1.126     brouard  3728:   int nhstepma, nstepma; /* Decreasing with age */
                   3729:   double age, agelim, hf;
                   3730:   double ***p3mat;
                   3731:   double eip;
                   3732: 
                   3733:   pstamp(ficreseij);
                   3734:   fprintf(ficreseij,"# (a) Life expectancies by health status at initial age and (b) health expectancies by health status at initial age\n");
                   3735:   fprintf(ficreseij,"# Age");
                   3736:   for(i=1; i<=nlstate;i++){
                   3737:     for(j=1; j<=nlstate;j++){
                   3738:       fprintf(ficreseij," e%1d%1d ",i,j);
                   3739:     }
                   3740:     fprintf(ficreseij," e%1d. ",i);
                   3741:   }
                   3742:   fprintf(ficreseij,"\n");
                   3743: 
                   3744:   
                   3745:   if(estepm < stepm){
                   3746:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   3747:   }
                   3748:   else  hstepm=estepm;   
                   3749:   /* We compute the life expectancy from trapezoids spaced every estepm months
                   3750:    * This is mainly to measure the difference between two models: for example
                   3751:    * if stepm=24 months pijx are given only every 2 years and by summing them
                   3752:    * we are calculating an estimate of the Life Expectancy assuming a linear 
                   3753:    * progression in between and thus overestimating or underestimating according
                   3754:    * to the curvature of the survival function. If, for the same date, we 
                   3755:    * estimate the model with stepm=1 month, we can keep estepm to 24 months
                   3756:    * to compare the new estimate of Life expectancy with the same linear 
                   3757:    * hypothesis. A more precise result, taking into account a more precise
                   3758:    * curvature will be obtained if estepm is as small as stepm. */
                   3759: 
                   3760:   /* For example we decided to compute the life expectancy with the smallest unit */
                   3761:   /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
                   3762:      nhstepm is the number of hstepm from age to agelim 
                   3763:      nstepm is the number of stepm from age to agelin. 
                   3764:      Look at hpijx to understand the reason of that which relies in memory size
                   3765:      and note for a fixed period like estepm months */
                   3766:   /* We decided (b) to get a life expectancy respecting the most precise curvature of the
                   3767:      survival function given by stepm (the optimization length). Unfortunately it
                   3768:      means that if the survival funtion is printed only each two years of age and if
                   3769:      you sum them up and add 1 year (area under the trapezoids) you won't get the same 
                   3770:      results. So we changed our mind and took the option of the best precision.
                   3771:   */
                   3772:   hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
                   3773: 
                   3774:   agelim=AGESUP;
                   3775:   /* If stepm=6 months */
                   3776:     /* Computed by stepm unit matrices, product of hstepm matrices, stored
                   3777:        in an array of nhstepm length: nhstepm=10, hstepm=4, stepm=6 months */
                   3778:     
                   3779: /* nhstepm age range expressed in number of stepm */
                   3780:   nstepm=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
                   3781:   /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   3782:   /* if (stepm >= YEARM) hstepm=1;*/
                   3783:   nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
                   3784:   p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   3785: 
                   3786:   for (age=bage; age<=fage; age ++){ 
                   3787:     nstepma=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
                   3788:     /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   3789:     /* if (stepm >= YEARM) hstepm=1;*/
                   3790:     nhstepma = nstepma/hstepm;/* Expressed in hstepm, typically nhstepma=40/4=10 */
                   3791: 
                   3792:     /* If stepm=6 months */
                   3793:     /* Computed by stepm unit matrices, product of hstepma matrices, stored
                   3794:        in an array of nhstepma length: nhstepma=10, hstepm=4, stepm=6 months */
                   3795:     
                   3796:     hpxij(p3mat,nhstepma,age,hstepm,x,nlstate,stepm,oldm, savm, cij);  
                   3797:     
                   3798:     hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
                   3799:     
                   3800:     printf("%d|",(int)age);fflush(stdout);
                   3801:     fprintf(ficlog,"%d|",(int)age);fflush(ficlog);
                   3802:     
                   3803:     /* Computing expectancies */
                   3804:     for(i=1; i<=nlstate;i++)
                   3805:       for(j=1; j<=nlstate;j++)
                   3806:        for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){
                   3807:          eij[i][j][(int)age] += (p3mat[i][j][h]+p3mat[i][j][h+1])/2.0*hf;
                   3808:          
                   3809:          /* 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]);*/
                   3810: 
                   3811:        }
                   3812: 
                   3813:     fprintf(ficreseij,"%3.0f",age );
                   3814:     for(i=1; i<=nlstate;i++){
                   3815:       eip=0;
                   3816:       for(j=1; j<=nlstate;j++){
                   3817:        eip +=eij[i][j][(int)age];
                   3818:        fprintf(ficreseij,"%9.4f", eij[i][j][(int)age] );
                   3819:       }
                   3820:       fprintf(ficreseij,"%9.4f", eip );
                   3821:     }
                   3822:     fprintf(ficreseij,"\n");
                   3823:     
                   3824:   }
                   3825:   free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   3826:   printf("\n");
                   3827:   fprintf(ficlog,"\n");
                   3828:   
                   3829: }
                   3830: 
1.127     brouard  3831: 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  3832: 
                   3833: {
                   3834:   /* Covariances of health expectancies eij and of total life expectancies according
                   3835:    to initial status i, ei. .
                   3836:   */
                   3837:   int i, j, nhstepm, hstepm, h, nstepm, k, cptj, cptj2, i2, j2, ij, ji;
                   3838:   int nhstepma, nstepma; /* Decreasing with age */
                   3839:   double age, agelim, hf;
                   3840:   double ***p3matp, ***p3matm, ***varhe;
                   3841:   double **dnewm,**doldm;
                   3842:   double *xp, *xm;
                   3843:   double **gp, **gm;
                   3844:   double ***gradg, ***trgradg;
                   3845:   int theta;
                   3846: 
                   3847:   double eip, vip;
                   3848: 
                   3849:   varhe=ma3x(1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int) fage);
                   3850:   xp=vector(1,npar);
                   3851:   xm=vector(1,npar);
                   3852:   dnewm=matrix(1,nlstate*nlstate,1,npar);
                   3853:   doldm=matrix(1,nlstate*nlstate,1,nlstate*nlstate);
                   3854:   
                   3855:   pstamp(ficresstdeij);
                   3856:   fprintf(ficresstdeij,"# Health expectancies with standard errors\n");
                   3857:   fprintf(ficresstdeij,"# Age");
                   3858:   for(i=1; i<=nlstate;i++){
                   3859:     for(j=1; j<=nlstate;j++)
                   3860:       fprintf(ficresstdeij," e%1d%1d (SE)",i,j);
                   3861:     fprintf(ficresstdeij," e%1d. ",i);
                   3862:   }
                   3863:   fprintf(ficresstdeij,"\n");
                   3864: 
                   3865:   pstamp(ficrescveij);
                   3866:   fprintf(ficrescveij,"# Subdiagonal matrix of covariances of health expectancies by age: cov(eij,ekl)\n");
                   3867:   fprintf(ficrescveij,"# Age");
                   3868:   for(i=1; i<=nlstate;i++)
                   3869:     for(j=1; j<=nlstate;j++){
                   3870:       cptj= (j-1)*nlstate+i;
                   3871:       for(i2=1; i2<=nlstate;i2++)
                   3872:        for(j2=1; j2<=nlstate;j2++){
                   3873:          cptj2= (j2-1)*nlstate+i2;
                   3874:          if(cptj2 <= cptj)
                   3875:            fprintf(ficrescveij,"  %1d%1d,%1d%1d",i,j,i2,j2);
                   3876:        }
                   3877:     }
                   3878:   fprintf(ficrescveij,"\n");
                   3879:   
                   3880:   if(estepm < stepm){
                   3881:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   3882:   }
                   3883:   else  hstepm=estepm;   
                   3884:   /* We compute the life expectancy from trapezoids spaced every estepm months
                   3885:    * This is mainly to measure the difference between two models: for example
                   3886:    * if stepm=24 months pijx are given only every 2 years and by summing them
                   3887:    * we are calculating an estimate of the Life Expectancy assuming a linear 
                   3888:    * progression in between and thus overestimating or underestimating according
                   3889:    * to the curvature of the survival function. If, for the same date, we 
                   3890:    * estimate the model with stepm=1 month, we can keep estepm to 24 months
                   3891:    * to compare the new estimate of Life expectancy with the same linear 
                   3892:    * hypothesis. A more precise result, taking into account a more precise
                   3893:    * curvature will be obtained if estepm is as small as stepm. */
                   3894: 
                   3895:   /* For example we decided to compute the life expectancy with the smallest unit */
                   3896:   /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
                   3897:      nhstepm is the number of hstepm from age to agelim 
                   3898:      nstepm is the number of stepm from age to agelin. 
                   3899:      Look at hpijx to understand the reason of that which relies in memory size
                   3900:      and note for a fixed period like estepm months */
                   3901:   /* We decided (b) to get a life expectancy respecting the most precise curvature of the
                   3902:      survival function given by stepm (the optimization length). Unfortunately it
                   3903:      means that if the survival funtion is printed only each two years of age and if
                   3904:      you sum them up and add 1 year (area under the trapezoids) you won't get the same 
                   3905:      results. So we changed our mind and took the option of the best precision.
                   3906:   */
                   3907:   hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
                   3908: 
                   3909:   /* If stepm=6 months */
                   3910:   /* nhstepm age range expressed in number of stepm */
                   3911:   agelim=AGESUP;
                   3912:   nstepm=(int) rint((agelim-bage)*YEARM/stepm); 
                   3913:   /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   3914:   /* if (stepm >= YEARM) hstepm=1;*/
                   3915:   nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
                   3916:   
                   3917:   p3matp=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   3918:   p3matm=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   3919:   gradg=ma3x(0,nhstepm,1,npar,1,nlstate*nlstate);
                   3920:   trgradg =ma3x(0,nhstepm,1,nlstate*nlstate,1,npar);
                   3921:   gp=matrix(0,nhstepm,1,nlstate*nlstate);
                   3922:   gm=matrix(0,nhstepm,1,nlstate*nlstate);
                   3923: 
                   3924:   for (age=bage; age<=fage; age ++){ 
                   3925:     nstepma=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
                   3926:     /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   3927:     /* if (stepm >= YEARM) hstepm=1;*/
                   3928:     nhstepma = nstepma/hstepm;/* Expressed in hstepm, typically nhstepma=40/4=10 */
                   3929: 
                   3930:     /* If stepm=6 months */
                   3931:     /* Computed by stepm unit matrices, product of hstepma matrices, stored
                   3932:        in an array of nhstepma length: nhstepma=10, hstepm=4, stepm=6 months */
                   3933:     
                   3934:     hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
                   3935: 
                   3936:     /* Computing  Variances of health expectancies */
                   3937:     /* Gradient is computed with plus gp and minus gm. Code is duplicated in order to
                   3938:        decrease memory allocation */
                   3939:     for(theta=1; theta <=npar; theta++){
                   3940:       for(i=1; i<=npar; i++){ 
                   3941:        xp[i] = x[i] + (i==theta ?delti[theta]:0);
                   3942:        xm[i] = x[i] - (i==theta ?delti[theta]:0);
                   3943:       }
                   3944:       hpxij(p3matp,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, cij);  
                   3945:       hpxij(p3matm,nhstepm,age,hstepm,xm,nlstate,stepm,oldm,savm, cij);  
                   3946:   
                   3947:       for(j=1; j<= nlstate; j++){
                   3948:        for(i=1; i<=nlstate; i++){
                   3949:          for(h=0; h<=nhstepm-1; h++){
                   3950:            gp[h][(j-1)*nlstate + i] = (p3matp[i][j][h]+p3matp[i][j][h+1])/2.;
                   3951:            gm[h][(j-1)*nlstate + i] = (p3matm[i][j][h]+p3matm[i][j][h+1])/2.;
                   3952:          }
                   3953:        }
                   3954:       }
                   3955:      
                   3956:       for(ij=1; ij<= nlstate*nlstate; ij++)
                   3957:        for(h=0; h<=nhstepm-1; h++){
                   3958:          gradg[h][theta][ij]= (gp[h][ij]-gm[h][ij])/2./delti[theta];
                   3959:        }
                   3960:     }/* End theta */
                   3961:     
                   3962:     
                   3963:     for(h=0; h<=nhstepm-1; h++)
                   3964:       for(j=1; j<=nlstate*nlstate;j++)
                   3965:        for(theta=1; theta <=npar; theta++)
                   3966:          trgradg[h][j][theta]=gradg[h][theta][j];
                   3967:     
                   3968: 
                   3969:      for(ij=1;ij<=nlstate*nlstate;ij++)
                   3970:       for(ji=1;ji<=nlstate*nlstate;ji++)
                   3971:        varhe[ij][ji][(int)age] =0.;
                   3972: 
                   3973:      printf("%d|",(int)age);fflush(stdout);
                   3974:      fprintf(ficlog,"%d|",(int)age);fflush(ficlog);
                   3975:      for(h=0;h<=nhstepm-1;h++){
                   3976:       for(k=0;k<=nhstepm-1;k++){
                   3977:        matprod2(dnewm,trgradg[h],1,nlstate*nlstate,1,npar,1,npar,matcov);
                   3978:        matprod2(doldm,dnewm,1,nlstate*nlstate,1,npar,1,nlstate*nlstate,gradg[k]);
                   3979:        for(ij=1;ij<=nlstate*nlstate;ij++)
                   3980:          for(ji=1;ji<=nlstate*nlstate;ji++)
                   3981:            varhe[ij][ji][(int)age] += doldm[ij][ji]*hf*hf;
                   3982:       }
                   3983:     }
                   3984: 
                   3985:     /* Computing expectancies */
                   3986:     hpxij(p3matm,nhstepm,age,hstepm,x,nlstate,stepm,oldm, savm, cij);  
                   3987:     for(i=1; i<=nlstate;i++)
                   3988:       for(j=1; j<=nlstate;j++)
                   3989:        for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){
                   3990:          eij[i][j][(int)age] += (p3matm[i][j][h]+p3matm[i][j][h+1])/2.0*hf;
                   3991:          
                   3992:          /* 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]);*/
                   3993: 
                   3994:        }
                   3995: 
                   3996:     fprintf(ficresstdeij,"%3.0f",age );
                   3997:     for(i=1; i<=nlstate;i++){
                   3998:       eip=0.;
                   3999:       vip=0.;
                   4000:       for(j=1; j<=nlstate;j++){
                   4001:        eip += eij[i][j][(int)age];
                   4002:        for(k=1; k<=nlstate;k++) /* Sum on j and k of cov(eij,eik) */
                   4003:          vip += varhe[(j-1)*nlstate+i][(k-1)*nlstate+i][(int)age];
                   4004:        fprintf(ficresstdeij," %9.4f (%.4f)", eij[i][j][(int)age], sqrt(varhe[(j-1)*nlstate+i][(j-1)*nlstate+i][(int)age]) );
                   4005:       }
                   4006:       fprintf(ficresstdeij," %9.4f (%.4f)", eip, sqrt(vip));
                   4007:     }
                   4008:     fprintf(ficresstdeij,"\n");
                   4009: 
                   4010:     fprintf(ficrescveij,"%3.0f",age );
                   4011:     for(i=1; i<=nlstate;i++)
                   4012:       for(j=1; j<=nlstate;j++){
                   4013:        cptj= (j-1)*nlstate+i;
                   4014:        for(i2=1; i2<=nlstate;i2++)
                   4015:          for(j2=1; j2<=nlstate;j2++){
                   4016:            cptj2= (j2-1)*nlstate+i2;
                   4017:            if(cptj2 <= cptj)
                   4018:              fprintf(ficrescveij," %.4f", varhe[cptj][cptj2][(int)age]);
                   4019:          }
                   4020:       }
                   4021:     fprintf(ficrescveij,"\n");
                   4022:    
                   4023:   }
                   4024:   free_matrix(gm,0,nhstepm,1,nlstate*nlstate);
                   4025:   free_matrix(gp,0,nhstepm,1,nlstate*nlstate);
                   4026:   free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate*nlstate);
                   4027:   free_ma3x(trgradg,0,nhstepm,1,nlstate*nlstate,1,npar);
                   4028:   free_ma3x(p3matm,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   4029:   free_ma3x(p3matp,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   4030:   printf("\n");
                   4031:   fprintf(ficlog,"\n");
                   4032: 
                   4033:   free_vector(xm,1,npar);
                   4034:   free_vector(xp,1,npar);
                   4035:   free_matrix(dnewm,1,nlstate*nlstate,1,npar);
                   4036:   free_matrix(doldm,1,nlstate*nlstate,1,nlstate*nlstate);
                   4037:   free_ma3x(varhe,1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int)fage);
                   4038: }
                   4039: 
                   4040: /************ Variance ******************/
1.209     brouard  4041:  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[])
1.126     brouard  4042: {
                   4043:   /* Variance of health expectancies */
                   4044:   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);*/
                   4045:   /* double **newm;*/
1.169     brouard  4046:   /* int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav)*/
                   4047:   
                   4048:   int movingaverage();
1.126     brouard  4049:   double **dnewm,**doldm;
                   4050:   double **dnewmp,**doldmp;
                   4051:   int i, j, nhstepm, hstepm, h, nstepm ;
1.164     brouard  4052:   int k;
1.126     brouard  4053:   double *xp;
                   4054:   double **gp, **gm;  /* for var eij */
                   4055:   double ***gradg, ***trgradg; /*for var eij */
                   4056:   double **gradgp, **trgradgp; /* for var p point j */
                   4057:   double *gpp, *gmp; /* for var p point j */
                   4058:   double **varppt; /* for var p point j nlstate to nlstate+ndeath */
                   4059:   double ***p3mat;
                   4060:   double age,agelim, hf;
                   4061:   double ***mobaverage;
                   4062:   int theta;
                   4063:   char digit[4];
                   4064:   char digitp[25];
                   4065: 
                   4066:   char fileresprobmorprev[FILENAMELENGTH];
                   4067: 
                   4068:   if(popbased==1){
                   4069:     if(mobilav!=0)
1.201     brouard  4070:       strcpy(digitp,"-POPULBASED-MOBILAV_");
                   4071:     else strcpy(digitp,"-POPULBASED-NOMOBIL_");
1.126     brouard  4072:   }
                   4073:   else 
1.201     brouard  4074:     strcpy(digitp,"-STABLBASED_");
1.126     brouard  4075: 
                   4076:   if (mobilav!=0) {
                   4077:     mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   4078:     if (movingaverage(probs, bage, fage, mobaverage,mobilav)!=0){
                   4079:       fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
                   4080:       printf(" Error in movingaverage mobilav=%d\n",mobilav);
                   4081:     }
                   4082:   }
                   4083: 
1.201     brouard  4084:   strcpy(fileresprobmorprev,"PRMORPREV-"); 
1.126     brouard  4085:   sprintf(digit,"%-d",ij);
                   4086:   /*printf("DIGIT=%s, ij=%d ijr=%-d|\n",digit, ij,ij);*/
                   4087:   strcat(fileresprobmorprev,digit); /* Tvar to be done */
                   4088:   strcat(fileresprobmorprev,digitp); /* Popbased or not, mobilav or not */
1.202     brouard  4089:   strcat(fileresprobmorprev,fileresu);
1.126     brouard  4090:   if((ficresprobmorprev=fopen(fileresprobmorprev,"w"))==NULL) {
                   4091:     printf("Problem with resultfile: %s\n", fileresprobmorprev);
                   4092:     fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobmorprev);
                   4093:   }
                   4094:   printf("Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
                   4095:   fprintf(ficlog,"Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
                   4096:   pstamp(ficresprobmorprev);
                   4097:   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);
                   4098:   fprintf(ficresprobmorprev,"# Age cov=%-d",ij);
                   4099:   for(j=nlstate+1; j<=(nlstate+ndeath);j++){
                   4100:     fprintf(ficresprobmorprev," p.%-d SE",j);
                   4101:     for(i=1; i<=nlstate;i++)
                   4102:       fprintf(ficresprobmorprev," w%1d p%-d%-d",i,i,j);
                   4103:   }  
                   4104:   fprintf(ficresprobmorprev,"\n");
1.208     brouard  4105:   
1.126     brouard  4106:   fprintf(ficgp,"\n# Routine varevsij");
1.200     brouard  4107:   fprintf(ficgp,"\nunset title \n");
                   4108: /* fprintf(fichtm, "#Local time at start: %s", strstart);*/
1.126     brouard  4109:   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");
                   4110:   fprintf(fichtm,"\n<br>%s  <br>\n",digitp);
                   4111: /*   } */
                   4112:   varppt = matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   4113:   pstamp(ficresvij);
                   4114:   fprintf(ficresvij,"# Variance and covariance of health expectancies e.j \n#  (weighted average of eij where weights are ");
                   4115:   if(popbased==1)
1.128     brouard  4116:     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);
1.126     brouard  4117:   else
                   4118:     fprintf(ficresvij,"the age specific period (stable) prevalences in each health state \n");
                   4119:   fprintf(ficresvij,"# Age");
                   4120:   for(i=1; i<=nlstate;i++)
                   4121:     for(j=1; j<=nlstate;j++)
                   4122:       fprintf(ficresvij," Cov(e.%1d, e.%1d)",i,j);
                   4123:   fprintf(ficresvij,"\n");
                   4124: 
                   4125:   xp=vector(1,npar);
                   4126:   dnewm=matrix(1,nlstate,1,npar);
                   4127:   doldm=matrix(1,nlstate,1,nlstate);
                   4128:   dnewmp= matrix(nlstate+1,nlstate+ndeath,1,npar);
                   4129:   doldmp= matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   4130: 
                   4131:   gradgp=matrix(1,npar,nlstate+1,nlstate+ndeath);
                   4132:   gpp=vector(nlstate+1,nlstate+ndeath);
                   4133:   gmp=vector(nlstate+1,nlstate+ndeath);
                   4134:   trgradgp =matrix(nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
                   4135:   
                   4136:   if(estepm < stepm){
                   4137:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   4138:   }
                   4139:   else  hstepm=estepm;   
                   4140:   /* For example we decided to compute the life expectancy with the smallest unit */
                   4141:   /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
                   4142:      nhstepm is the number of hstepm from age to agelim 
1.208     brouard  4143:      nstepm is the number of stepm from age to agelim. 
1.209     brouard  4144:      Look at function hpijx to understand why because of memory size limitations, 
1.208     brouard  4145:      we decided (b) to get a life expectancy respecting the most precise curvature of the
1.126     brouard  4146:      survival function given by stepm (the optimization length). Unfortunately it
                   4147:      means that if the survival funtion is printed every two years of age and if
                   4148:      you sum them up and add 1 year (area under the trapezoids) you won't get the same 
                   4149:      results. So we changed our mind and took the option of the best precision.
                   4150:   */
                   4151:   hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
                   4152:   agelim = AGESUP;
                   4153:   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
                   4154:     nstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
                   4155:     nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
                   4156:     p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   4157:     gradg=ma3x(0,nhstepm,1,npar,1,nlstate);
                   4158:     gp=matrix(0,nhstepm,1,nlstate);
                   4159:     gm=matrix(0,nhstepm,1,nlstate);
                   4160: 
                   4161: 
                   4162:     for(theta=1; theta <=npar; theta++){
                   4163:       for(i=1; i<=npar; i++){ /* Computes gradient x + delta*/
                   4164:        xp[i] = x[i] + (i==theta ?delti[theta]:0);
                   4165:       }
1.209     brouard  4166: 
                   4167:       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij);
1.126     brouard  4168: 
                   4169:       if (popbased==1) {
                   4170:        if(mobilav ==0){
                   4171:          for(i=1; i<=nlstate;i++)
                   4172:            prlim[i][i]=probs[(int)age][i][ij];
                   4173:        }else{ /* mobilav */ 
                   4174:          for(i=1; i<=nlstate;i++)
                   4175:            prlim[i][i]=mobaverage[(int)age][i][ij];
                   4176:        }
                   4177:       }
                   4178:   
1.209     brouard  4179:       hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);  /* Returns p3mat[i][j][h] for h=1 to nhstepm */
1.126     brouard  4180:       for(j=1; j<= nlstate; j++){
                   4181:        for(h=0; h<=nhstepm; h++){
                   4182:          for(i=1, gp[h][j]=0.;i<=nlstate;i++)
                   4183:            gp[h][j] += prlim[i][i]*p3mat[i][j][h];
                   4184:        }
                   4185:       }
1.209     brouard  4186:       /* Next for computing probability of death (h=1 means
1.126     brouard  4187:          computed over hstepm matrices product = hstepm*stepm months) 
                   4188:          as a weighted average of prlim.
                   4189:       */
                   4190:       for(j=nlstate+1;j<=nlstate+ndeath;j++){
                   4191:        for(i=1,gpp[j]=0.; i<= nlstate; i++)
                   4192:          gpp[j] += prlim[i][i]*p3mat[i][j][1];
                   4193:       }    
                   4194:       /* end probability of death */
                   4195: 
                   4196:       for(i=1; i<=npar; i++) /* Computes gradient x - delta */
                   4197:        xp[i] = x[i] - (i==theta ?delti[theta]:0);
1.209     brouard  4198: 
                   4199:       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp, ij);
1.126     brouard  4200:  
                   4201:       if (popbased==1) {
                   4202:        if(mobilav ==0){
                   4203:          for(i=1; i<=nlstate;i++)
                   4204:            prlim[i][i]=probs[(int)age][i][ij];
                   4205:        }else{ /* mobilav */ 
                   4206:          for(i=1; i<=nlstate;i++)
                   4207:            prlim[i][i]=mobaverage[(int)age][i][ij];
                   4208:        }
                   4209:       }
                   4210: 
1.209     brouard  4211:       hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);  
                   4212: 
1.128     brouard  4213:       for(j=1; j<= nlstate; j++){  /* Sum of wi * eij = e.j */
1.126     brouard  4214:        for(h=0; h<=nhstepm; h++){
                   4215:          for(i=1, gm[h][j]=0.;i<=nlstate;i++)
                   4216:            gm[h][j] += prlim[i][i]*p3mat[i][j][h];
                   4217:        }
                   4218:       }
                   4219:       /* This for computing probability of death (h=1 means
                   4220:          computed over hstepm matrices product = hstepm*stepm months) 
                   4221:          as a weighted average of prlim.
                   4222:       */
                   4223:       for(j=nlstate+1;j<=nlstate+ndeath;j++){
                   4224:        for(i=1,gmp[j]=0.; i<= nlstate; i++)
                   4225:          gmp[j] += prlim[i][i]*p3mat[i][j][1];
                   4226:       }    
                   4227:       /* end probability of death */
                   4228: 
                   4229:       for(j=1; j<= nlstate; j++) /* vareij */
                   4230:        for(h=0; h<=nhstepm; h++){
                   4231:          gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta];
                   4232:        }
                   4233: 
                   4234:       for(j=nlstate+1; j<= nlstate+ndeath; j++){ /* var mu */
                   4235:        gradgp[theta][j]= (gpp[j]-gmp[j])/2./delti[theta];
                   4236:       }
                   4237: 
                   4238:     } /* End theta */
                   4239: 
                   4240:     trgradg =ma3x(0,nhstepm,1,nlstate,1,npar); /* veij */
                   4241: 
                   4242:     for(h=0; h<=nhstepm; h++) /* veij */
                   4243:       for(j=1; j<=nlstate;j++)
                   4244:        for(theta=1; theta <=npar; theta++)
                   4245:          trgradg[h][j][theta]=gradg[h][theta][j];
                   4246: 
                   4247:     for(j=nlstate+1; j<=nlstate+ndeath;j++) /* mu */
                   4248:       for(theta=1; theta <=npar; theta++)
                   4249:        trgradgp[j][theta]=gradgp[theta][j];
                   4250:   
                   4251: 
                   4252:     hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
                   4253:     for(i=1;i<=nlstate;i++)
                   4254:       for(j=1;j<=nlstate;j++)
                   4255:        vareij[i][j][(int)age] =0.;
                   4256: 
                   4257:     for(h=0;h<=nhstepm;h++){
                   4258:       for(k=0;k<=nhstepm;k++){
                   4259:        matprod2(dnewm,trgradg[h],1,nlstate,1,npar,1,npar,matcov);
                   4260:        matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg[k]);
                   4261:        for(i=1;i<=nlstate;i++)
                   4262:          for(j=1;j<=nlstate;j++)
                   4263:            vareij[i][j][(int)age] += doldm[i][j]*hf*hf;
                   4264:       }
                   4265:     }
                   4266:   
                   4267:     /* pptj */
                   4268:     matprod2(dnewmp,trgradgp,nlstate+1,nlstate+ndeath,1,npar,1,npar,matcov);
                   4269:     matprod2(doldmp,dnewmp,nlstate+1,nlstate+ndeath,1,npar,nlstate+1,nlstate+ndeath,gradgp);
                   4270:     for(j=nlstate+1;j<=nlstate+ndeath;j++)
                   4271:       for(i=nlstate+1;i<=nlstate+ndeath;i++)
                   4272:        varppt[j][i]=doldmp[j][i];
                   4273:     /* end ppptj */
                   4274:     /*  x centered again */
1.209     brouard  4275: 
                   4276:     prevalim(prlim,nlstate,x,age,oldm,savm,ftolpl,ncvyearp,ij);
1.126     brouard  4277:  
                   4278:     if (popbased==1) {
                   4279:       if(mobilav ==0){
                   4280:        for(i=1; i<=nlstate;i++)
                   4281:          prlim[i][i]=probs[(int)age][i][ij];
                   4282:       }else{ /* mobilav */ 
                   4283:        for(i=1; i<=nlstate;i++)
                   4284:          prlim[i][i]=mobaverage[(int)age][i][ij];
                   4285:       }
                   4286:     }
                   4287:              
                   4288:     /* This for computing probability of death (h=1 means
                   4289:        computed over hstepm (estepm) matrices product = hstepm*stepm months) 
                   4290:        as a weighted average of prlim.
                   4291:     */
1.209     brouard  4292:     hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm,savm, ij);  
1.126     brouard  4293:     for(j=nlstate+1;j<=nlstate+ndeath;j++){
                   4294:       for(i=1,gmp[j]=0.;i<= nlstate; i++) 
                   4295:        gmp[j] += prlim[i][i]*p3mat[i][j][1]; 
                   4296:     }    
                   4297:     /* end probability of death */
                   4298: 
                   4299:     fprintf(ficresprobmorprev,"%3d %d ",(int) age, ij);
                   4300:     for(j=nlstate+1; j<=(nlstate+ndeath);j++){
                   4301:       fprintf(ficresprobmorprev," %11.3e %11.3e",gmp[j], sqrt(varppt[j][j]));
                   4302:       for(i=1; i<=nlstate;i++){
                   4303:        fprintf(ficresprobmorprev," %11.3e %11.3e ",prlim[i][i],p3mat[i][j][1]);
                   4304:       }
                   4305:     } 
                   4306:     fprintf(ficresprobmorprev,"\n");
                   4307: 
                   4308:     fprintf(ficresvij,"%.0f ",age );
                   4309:     for(i=1; i<=nlstate;i++)
                   4310:       for(j=1; j<=nlstate;j++){
                   4311:        fprintf(ficresvij," %.4f", vareij[i][j][(int)age]);
                   4312:       }
                   4313:     fprintf(ficresvij,"\n");
                   4314:     free_matrix(gp,0,nhstepm,1,nlstate);
                   4315:     free_matrix(gm,0,nhstepm,1,nlstate);
                   4316:     free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate);
                   4317:     free_ma3x(trgradg,0,nhstepm,1,nlstate,1,npar);
                   4318:     free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   4319:   } /* End age */
                   4320:   free_vector(gpp,nlstate+1,nlstate+ndeath);
                   4321:   free_vector(gmp,nlstate+1,nlstate+ndeath);
                   4322:   free_matrix(gradgp,1,npar,nlstate+1,nlstate+ndeath);
                   4323:   free_matrix(trgradgp,nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
1.199     brouard  4324:   /* fprintf(ficgp,"\nunset parametric;unset label; set ter png small size 320, 240"); */
                   4325:   fprintf(ficgp,"\nunset parametric;unset label; set ter svg size 640, 480");
1.126     brouard  4326:   /* for(j=nlstate+1; j<= nlstate+ndeath; j++){ *//* Only the first actually */
1.131     brouard  4327:   fprintf(ficgp,"\n set log y; unset log x;set xlabel \"Age\"; set ylabel \"Force of mortality (year-1)\";");
1.201     brouard  4328:   fprintf(ficgp,"\nset out \"%s%s.svg\";",subdirf3(optionfilefiname,"VARMUPTJGR-",digitp),digit);
1.126     brouard  4329: /*   fprintf(ficgp,"\n plot \"%s\"  u 1:($3*%6.3f) not w l 1 ",fileresprobmorprev,YEARM/estepm); */
                   4330: /*   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)*%6.3f) t \"95\%% interval\" w l 2 ",fileresprobmorprev,YEARM/estepm); */
                   4331: /*   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)*%6.3f) not w l 2 ",fileresprobmorprev,YEARM/estepm); */
1.145     brouard  4332:   fprintf(ficgp,"\n plot \"%s\"  u 1:($3) not w l lt 1 ",subdirf(fileresprobmorprev));
1.170     brouard  4333:   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)) t \"95%% interval\" w l lt 2 ",subdirf(fileresprobmorprev));
1.145     brouard  4334:   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)) not w l lt 2 ",subdirf(fileresprobmorprev));
1.126     brouard  4335:   fprintf(fichtm,"\n<br> File (multiple files are possible if covariates are present): <A href=\"%s\">%s</a>\n",subdirf(fileresprobmorprev),subdirf(fileresprobmorprev));
1.201     brouard  4336:   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);
1.199     brouard  4337:   /*  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  4338: */
1.199     brouard  4339: /*   fprintf(ficgp,"\nset out \"varmuptjgr%s%s%s.svg\";replot;",digitp,optionfilefiname,digit); */
1.201     brouard  4340:   fprintf(ficgp,"\nset out;\nset out \"%s%s.svg\";replot;set out;\n",subdirf3(optionfilefiname,"VARMUPTJGR-",digitp),digit);
1.126     brouard  4341: 
                   4342:   free_vector(xp,1,npar);
                   4343:   free_matrix(doldm,1,nlstate,1,nlstate);
                   4344:   free_matrix(dnewm,1,nlstate,1,npar);
                   4345:   free_matrix(doldmp,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   4346:   free_matrix(dnewmp,nlstate+1,nlstate+ndeath,1,npar);
                   4347:   free_matrix(varppt,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   4348:   if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   4349:   fclose(ficresprobmorprev);
                   4350:   fflush(ficgp);
                   4351:   fflush(fichtm); 
                   4352: }  /* end varevsij */
                   4353: 
                   4354: /************ Variance of prevlim ******************/
1.209     brouard  4355:  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  4356: {
1.205     brouard  4357:   /* Variance of prevalence limit  for each state ij using current parameters x[] and estimates of neighbourhood give by delti*/
1.126     brouard  4358:   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double **savm,double ftolpl);*/
1.164     brouard  4359: 
1.126     brouard  4360:   double **dnewm,**doldm;
                   4361:   int i, j, nhstepm, hstepm;
                   4362:   double *xp;
                   4363:   double *gp, *gm;
                   4364:   double **gradg, **trgradg;
1.208     brouard  4365:   double **mgm, **mgp;
1.126     brouard  4366:   double age,agelim;
                   4367:   int theta;
                   4368:   
                   4369:   pstamp(ficresvpl);
                   4370:   fprintf(ficresvpl,"# Standard deviation of period (stable) prevalences \n");
                   4371:   fprintf(ficresvpl,"# Age");
                   4372:   for(i=1; i<=nlstate;i++)
                   4373:       fprintf(ficresvpl," %1d-%1d",i,i);
                   4374:   fprintf(ficresvpl,"\n");
                   4375: 
                   4376:   xp=vector(1,npar);
                   4377:   dnewm=matrix(1,nlstate,1,npar);
                   4378:   doldm=matrix(1,nlstate,1,nlstate);
                   4379:   
                   4380:   hstepm=1*YEARM; /* Every year of age */
                   4381:   hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */ 
                   4382:   agelim = AGESUP;
                   4383:   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
                   4384:     nhstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
                   4385:     if (stepm >= YEARM) hstepm=1;
                   4386:     nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
                   4387:     gradg=matrix(1,npar,1,nlstate);
1.208     brouard  4388:     mgp=matrix(1,npar,1,nlstate);
                   4389:     mgm=matrix(1,npar,1,nlstate);
1.126     brouard  4390:     gp=vector(1,nlstate);
                   4391:     gm=vector(1,nlstate);
                   4392: 
                   4393:     for(theta=1; theta <=npar; theta++){
                   4394:       for(i=1; i<=npar; i++){ /* Computes gradient */
                   4395:        xp[i] = x[i] + (i==theta ?delti[theta]:0);
                   4396:       }
1.209     brouard  4397:       if((int)age==79 ||(int)age== 80 ||(int)age== 81 )
                   4398:        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij);
                   4399:       else
                   4400:        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij);
1.208     brouard  4401:       for(i=1;i<=nlstate;i++){
1.126     brouard  4402:        gp[i] = prlim[i][i];
1.208     brouard  4403:        mgp[theta][i] = prlim[i][i];
                   4404:       }
1.126     brouard  4405:       for(i=1; i<=npar; i++) /* Computes gradient */
                   4406:        xp[i] = x[i] - (i==theta ?delti[theta]:0);
1.209     brouard  4407:       if((int)age==79 ||(int)age== 80 ||(int)age== 81 )
                   4408:        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij);
                   4409:       else
                   4410:        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij);
1.208     brouard  4411:       for(i=1;i<=nlstate;i++){
1.126     brouard  4412:        gm[i] = prlim[i][i];
1.208     brouard  4413:        mgm[theta][i] = prlim[i][i];
                   4414:       }
1.126     brouard  4415:       for(i=1;i<=nlstate;i++)
                   4416:        gradg[theta][i]= (gp[i]-gm[i])/2./delti[theta];
1.209     brouard  4417:       /* gradg[theta][2]= -gradg[theta][1]; */ /* For testing if nlstate=2 */
1.126     brouard  4418:     } /* End theta */
                   4419: 
                   4420:     trgradg =matrix(1,nlstate,1,npar);
                   4421: 
                   4422:     for(j=1; j<=nlstate;j++)
                   4423:       for(theta=1; theta <=npar; theta++)
                   4424:        trgradg[j][theta]=gradg[theta][j];
1.209     brouard  4425:     /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ){ */
                   4426:     /*   printf("\nmgm mgp %d ",(int)age); */
                   4427:     /*   for(j=1; j<=nlstate;j++){ */
                   4428:     /*         printf(" %d ",j); */
                   4429:     /*         for(theta=1; theta <=npar; theta++) */
                   4430:     /*           printf(" %d %lf %lf",theta,mgm[theta][j],mgp[theta][j]); */
                   4431:     /*         printf("\n "); */
                   4432:     /*   } */
                   4433:     /* } */
                   4434:     /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ){ */
                   4435:     /*   printf("\n gradg %d ",(int)age); */
                   4436:     /*   for(j=1; j<=nlstate;j++){ */
                   4437:     /*         printf("%d ",j); */
                   4438:     /*         for(theta=1; theta <=npar; theta++) */
                   4439:     /*           printf("%d %lf ",theta,gradg[theta][j]); */
                   4440:     /*         printf("\n "); */
                   4441:     /*   } */
                   4442:     /* } */
1.126     brouard  4443: 
                   4444:     for(i=1;i<=nlstate;i++)
                   4445:       varpl[i][(int)age] =0.;
1.209     brouard  4446:     if((int)age==79 ||(int)age== 80  ||(int)age== 81){
1.205     brouard  4447:     matprod2(dnewm,trgradg,1,nlstate,1,npar,1,npar,matcov);
                   4448:     matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg);
                   4449:     }else{
1.126     brouard  4450:     matprod2(dnewm,trgradg,1,nlstate,1,npar,1,npar,matcov);
                   4451:     matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg);
1.205     brouard  4452:     }
1.126     brouard  4453:     for(i=1;i<=nlstate;i++)
                   4454:       varpl[i][(int)age] = doldm[i][i]; /* Covariances are useless */
                   4455: 
                   4456:     fprintf(ficresvpl,"%.0f ",age );
                   4457:     for(i=1; i<=nlstate;i++)
                   4458:       fprintf(ficresvpl," %.5f (%.5f)",prlim[i][i],sqrt(varpl[i][(int)age]));
                   4459:     fprintf(ficresvpl,"\n");
                   4460:     free_vector(gp,1,nlstate);
                   4461:     free_vector(gm,1,nlstate);
1.208     brouard  4462:     free_matrix(mgm,1,npar,1,nlstate);
                   4463:     free_matrix(mgp,1,npar,1,nlstate);
1.126     brouard  4464:     free_matrix(gradg,1,npar,1,nlstate);
                   4465:     free_matrix(trgradg,1,nlstate,1,npar);
                   4466:   } /* End age */
                   4467: 
                   4468:   free_vector(xp,1,npar);
                   4469:   free_matrix(doldm,1,nlstate,1,npar);
                   4470:   free_matrix(dnewm,1,nlstate,1,nlstate);
                   4471: 
                   4472: }
                   4473: 
                   4474: /************ Variance of one-step probabilities  ******************/
                   4475: 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[])
                   4476: {
1.164     brouard  4477:   int i, j=0,  k1, l1, tj;
1.126     brouard  4478:   int k2, l2, j1,  z1;
1.164     brouard  4479:   int k=0, l;
1.145     brouard  4480:   int first=1, first1, first2;
1.126     brouard  4481:   double cv12, mu1, mu2, lc1, lc2, v12, v21, v11, v22,v1,v2, c12, tnalp;
                   4482:   double **dnewm,**doldm;
                   4483:   double *xp;
                   4484:   double *gp, *gm;
                   4485:   double **gradg, **trgradg;
                   4486:   double **mu;
1.164     brouard  4487:   double age, cov[NCOVMAX+1];
1.126     brouard  4488:   double std=2.0; /* Number of standard deviation wide of confidence ellipsoids */
                   4489:   int theta;
                   4490:   char fileresprob[FILENAMELENGTH];
                   4491:   char fileresprobcov[FILENAMELENGTH];
                   4492:   char fileresprobcor[FILENAMELENGTH];
                   4493:   double ***varpij;
                   4494: 
1.201     brouard  4495:   strcpy(fileresprob,"PROB_"); 
1.126     brouard  4496:   strcat(fileresprob,fileres);
                   4497:   if((ficresprob=fopen(fileresprob,"w"))==NULL) {
                   4498:     printf("Problem with resultfile: %s\n", fileresprob);
                   4499:     fprintf(ficlog,"Problem with resultfile: %s\n", fileresprob);
                   4500:   }
1.201     brouard  4501:   strcpy(fileresprobcov,"PROBCOV_"); 
1.202     brouard  4502:   strcat(fileresprobcov,fileresu);
1.126     brouard  4503:   if((ficresprobcov=fopen(fileresprobcov,"w"))==NULL) {
                   4504:     printf("Problem with resultfile: %s\n", fileresprobcov);
                   4505:     fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcov);
                   4506:   }
1.201     brouard  4507:   strcpy(fileresprobcor,"PROBCOR_"); 
1.202     brouard  4508:   strcat(fileresprobcor,fileresu);
1.126     brouard  4509:   if((ficresprobcor=fopen(fileresprobcor,"w"))==NULL) {
                   4510:     printf("Problem with resultfile: %s\n", fileresprobcor);
                   4511:     fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcor);
                   4512:   }
                   4513:   printf("Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);
                   4514:   fprintf(ficlog,"Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);
                   4515:   printf("Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);
                   4516:   fprintf(ficlog,"Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);
                   4517:   printf("and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);
                   4518:   fprintf(ficlog,"and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);
                   4519:   pstamp(ficresprob);
                   4520:   fprintf(ficresprob,"#One-step probabilities and stand. devi in ()\n");
                   4521:   fprintf(ficresprob,"# Age");
                   4522:   pstamp(ficresprobcov);
                   4523:   fprintf(ficresprobcov,"#One-step probabilities and covariance matrix\n");
                   4524:   fprintf(ficresprobcov,"# Age");
                   4525:   pstamp(ficresprobcor);
                   4526:   fprintf(ficresprobcor,"#One-step probabilities and correlation matrix\n");
                   4527:   fprintf(ficresprobcor,"# Age");
                   4528: 
                   4529: 
                   4530:   for(i=1; i<=nlstate;i++)
                   4531:     for(j=1; j<=(nlstate+ndeath);j++){
                   4532:       fprintf(ficresprob," p%1d-%1d (SE)",i,j);
                   4533:       fprintf(ficresprobcov," p%1d-%1d ",i,j);
                   4534:       fprintf(ficresprobcor," p%1d-%1d ",i,j);
                   4535:     }  
                   4536:  /* fprintf(ficresprob,"\n");
                   4537:   fprintf(ficresprobcov,"\n");
                   4538:   fprintf(ficresprobcor,"\n");
                   4539:  */
1.131     brouard  4540:   xp=vector(1,npar);
1.126     brouard  4541:   dnewm=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);
                   4542:   doldm=matrix(1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath));
                   4543:   mu=matrix(1,(nlstate)*(nlstate+ndeath), (int) bage, (int)fage);
                   4544:   varpij=ma3x(1,nlstate*(nlstate+ndeath),1,nlstate*(nlstate+ndeath),(int) bage, (int) fage);
                   4545:   first=1;
                   4546:   fprintf(ficgp,"\n# Routine varprob");
                   4547:   fprintf(fichtm,"\n<li><h4> Computing and drawing one step probabilities with their confidence intervals</h4></li>\n");
                   4548:   fprintf(fichtm,"\n");
                   4549: 
1.200     brouard  4550:   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  4551:   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);
                   4552:   fprintf(fichtmcov,"\nEllipsoids of confidence centered on point (p<inf>ij</inf>, p<inf>kl</inf>) are estimated \
1.126     brouard  4553: and drawn. It helps understanding how is the covariance between two incidences.\
                   4554:  They are expressed in year<sup>-1</sup> in order to be less dependent of stepm.<br>\n");
                   4555:   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. \
                   4556: It can be understood this way: if pij and pkl where uncorrelated the (2x2) matrix of covariance \
                   4557: would have been (1/(var pij), 0 , 0, 1/(var pkl)), and the confidence interval would be 2 \
                   4558: standard deviations wide on each axis. <br>\
                   4559:  Now, if both incidences are correlated (usual case) we diagonalised the inverse of the covariance matrix\
                   4560:  and made the appropriate rotation to look at the uncorrelated principal directions.<br>\
                   4561: To be simple, these graphs help to understand the significativity of each parameter in relation to a second other one.<br> \n");
                   4562: 
                   4563:   cov[1]=1;
1.145     brouard  4564:   /* tj=cptcoveff; */
                   4565:   tj = (int) pow(2,cptcoveff);
1.126     brouard  4566:   if (cptcovn<1) {tj=1;ncodemax[1]=1;}
                   4567:   j1=0;
1.145     brouard  4568:   for(j1=1; j1<=tj;j1++){
                   4569:     /*for(i1=1; i1<=ncodemax[t];i1++){ */
                   4570:     /*j1++;*/
1.126     brouard  4571:       if  (cptcovn>0) {
                   4572:        fprintf(ficresprob, "\n#********** Variable "); 
1.198     brouard  4573:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprob, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.126     brouard  4574:        fprintf(ficresprob, "**********\n#\n");
                   4575:        fprintf(ficresprobcov, "\n#********** Variable "); 
1.198     brouard  4576:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcov, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.126     brouard  4577:        fprintf(ficresprobcov, "**********\n#\n");
                   4578:        
                   4579:        fprintf(ficgp, "\n#********** Variable "); 
1.198     brouard  4580:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficgp, " V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.126     brouard  4581:        fprintf(ficgp, "**********\n#\n");
                   4582:        
                   4583:        
                   4584:        fprintf(fichtmcov, "\n<hr  size=\"2\" color=\"#EC5E5E\">********** Variable "); 
1.198     brouard  4585:        for (z1=1; z1<=cptcoveff; z1++) fprintf(fichtm, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.126     brouard  4586:        fprintf(fichtmcov, "**********\n<hr size=\"2\" color=\"#EC5E5E\">");
                   4587:        
                   4588:        fprintf(ficresprobcor, "\n#********** Variable ");    
1.198     brouard  4589:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcor, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.126     brouard  4590:        fprintf(ficresprobcor, "**********\n#");    
                   4591:       }
                   4592:       
1.145     brouard  4593:       gradg=matrix(1,npar,1,(nlstate)*(nlstate+ndeath));
                   4594:       trgradg=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);
                   4595:       gp=vector(1,(nlstate)*(nlstate+ndeath));
                   4596:       gm=vector(1,(nlstate)*(nlstate+ndeath));
1.126     brouard  4597:       for (age=bage; age<=fage; age ++){ 
                   4598:        cov[2]=age;
1.187     brouard  4599:        if(nagesqr==1)
                   4600:          cov[3]= age*age;
1.126     brouard  4601:        for (k=1; k<=cptcovn;k++) {
1.200     brouard  4602:          cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(j1,k)];
                   4603:          /*cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(j1,Tvar[k])];*//* j1 1 2 3 4
1.145     brouard  4604:                                                         * 1  1 1 1 1
                   4605:                                                         * 2  2 1 1 1
                   4606:                                                         * 3  1 2 1 1
                   4607:                                                         */
                   4608:          /* nbcode[1][1]=0 nbcode[1][2]=1;*/
1.126     brouard  4609:        }
1.186     brouard  4610:        /* for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
1.200     brouard  4611:        for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
1.126     brouard  4612:        for (k=1; k<=cptcovprod;k++)
1.200     brouard  4613:          cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)]*nbcode[Tvard[k][2]][codtabm(ij,k)];
1.126     brouard  4614:        
                   4615:     
                   4616:        for(theta=1; theta <=npar; theta++){
                   4617:          for(i=1; i<=npar; i++)
                   4618:            xp[i] = x[i] + (i==theta ?delti[theta]:(double)0);
                   4619:          
                   4620:          pmij(pmmij,cov,ncovmodel,xp,nlstate);
                   4621:          
                   4622:          k=0;
                   4623:          for(i=1; i<= (nlstate); i++){
                   4624:            for(j=1; j<=(nlstate+ndeath);j++){
                   4625:              k=k+1;
                   4626:              gp[k]=pmmij[i][j];
                   4627:            }
                   4628:          }
                   4629:          
                   4630:          for(i=1; i<=npar; i++)
                   4631:            xp[i] = x[i] - (i==theta ?delti[theta]:(double)0);
                   4632:     
                   4633:          pmij(pmmij,cov,ncovmodel,xp,nlstate);
                   4634:          k=0;
                   4635:          for(i=1; i<=(nlstate); i++){
                   4636:            for(j=1; j<=(nlstate+ndeath);j++){
                   4637:              k=k+1;
                   4638:              gm[k]=pmmij[i][j];
                   4639:            }
                   4640:          }
                   4641:      
                   4642:          for(i=1; i<= (nlstate)*(nlstate+ndeath); i++) 
                   4643:            gradg[theta][i]=(gp[i]-gm[i])/(double)2./delti[theta];  
                   4644:        }
                   4645: 
                   4646:        for(j=1; j<=(nlstate)*(nlstate+ndeath);j++)
                   4647:          for(theta=1; theta <=npar; theta++)
                   4648:            trgradg[j][theta]=gradg[theta][j];
                   4649:        
                   4650:        matprod2(dnewm,trgradg,1,(nlstate)*(nlstate+ndeath),1,npar,1,npar,matcov); 
                   4651:        matprod2(doldm,dnewm,1,(nlstate)*(nlstate+ndeath),1,npar,1,(nlstate)*(nlstate+ndeath),gradg);
                   4652: 
                   4653:        pmij(pmmij,cov,ncovmodel,x,nlstate);
                   4654:        
                   4655:        k=0;
                   4656:        for(i=1; i<=(nlstate); i++){
                   4657:          for(j=1; j<=(nlstate+ndeath);j++){
                   4658:            k=k+1;
                   4659:            mu[k][(int) age]=pmmij[i][j];
                   4660:          }
                   4661:        }
                   4662:        for(i=1;i<=(nlstate)*(nlstate+ndeath);i++)
                   4663:          for(j=1;j<=(nlstate)*(nlstate+ndeath);j++)
                   4664:            varpij[i][j][(int)age] = doldm[i][j];
                   4665: 
                   4666:        /*printf("\n%d ",(int)age);
                   4667:          for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){
                   4668:          printf("%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));
                   4669:          fprintf(ficlog,"%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));
                   4670:          }*/
                   4671: 
                   4672:        fprintf(ficresprob,"\n%d ",(int)age);
                   4673:        fprintf(ficresprobcov,"\n%d ",(int)age);
                   4674:        fprintf(ficresprobcor,"\n%d ",(int)age);
                   4675: 
                   4676:        for (i=1; i<=(nlstate)*(nlstate+ndeath);i++)
                   4677:          fprintf(ficresprob,"%11.3e (%11.3e) ",mu[i][(int) age],sqrt(varpij[i][i][(int)age]));
                   4678:        for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){
                   4679:          fprintf(ficresprobcov,"%11.3e ",mu[i][(int) age]);
                   4680:          fprintf(ficresprobcor,"%11.3e ",mu[i][(int) age]);
                   4681:        }
                   4682:        i=0;
                   4683:        for (k=1; k<=(nlstate);k++){
                   4684:          for (l=1; l<=(nlstate+ndeath);l++){ 
1.145     brouard  4685:            i++;
1.126     brouard  4686:            fprintf(ficresprobcov,"\n%d %d-%d",(int)age,k,l);
                   4687:            fprintf(ficresprobcor,"\n%d %d-%d",(int)age,k,l);
                   4688:            for (j=1; j<=i;j++){
1.145     brouard  4689:              /* printf(" k=%d l=%d i=%d j=%d\n",k,l,i,j);fflush(stdout); */
1.126     brouard  4690:              fprintf(ficresprobcov," %11.3e",varpij[i][j][(int)age]);
                   4691:              fprintf(ficresprobcor," %11.3e",varpij[i][j][(int) age]/sqrt(varpij[i][i][(int) age])/sqrt(varpij[j][j][(int)age]));
                   4692:            }
                   4693:          }
                   4694:        }/* end of loop for state */
                   4695:       } /* end of loop for age */
1.145     brouard  4696:       free_vector(gp,1,(nlstate+ndeath)*(nlstate+ndeath));
                   4697:       free_vector(gm,1,(nlstate+ndeath)*(nlstate+ndeath));
                   4698:       free_matrix(trgradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);
                   4699:       free_matrix(gradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);
                   4700:       
1.126     brouard  4701:       /* Confidence intervalle of pij  */
                   4702:       /*
1.131     brouard  4703:        fprintf(ficgp,"\nunset parametric;unset label");
1.126     brouard  4704:        fprintf(ficgp,"\nset log y;unset log x; set xlabel \"Age\";set ylabel \"probability (year-1)\"");
                   4705:        fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65");
                   4706:        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);
                   4707:        fprintf(fichtm,"\n<br><img src=\"pijgr%s.png\"> ",optionfilefiname);
                   4708:        fprintf(ficgp,"\nset out \"pijgr%s.png\"",optionfilefiname);
                   4709:        fprintf(ficgp,"\nplot \"%s\" every :::%d::%d u 1:2 \"\%%lf",k1,k2,xfilevarprob);
                   4710:       */
                   4711: 
                   4712:       /* Drawing ellipsoids of confidence of two variables p(k1-l1,k2-l2)*/
1.145     brouard  4713:       first1=1;first2=2;
1.126     brouard  4714:       for (k2=1; k2<=(nlstate);k2++){
                   4715:        for (l2=1; l2<=(nlstate+ndeath);l2++){ 
                   4716:          if(l2==k2) continue;
                   4717:          j=(k2-1)*(nlstate+ndeath)+l2;
                   4718:          for (k1=1; k1<=(nlstate);k1++){
                   4719:            for (l1=1; l1<=(nlstate+ndeath);l1++){ 
                   4720:              if(l1==k1) continue;
                   4721:              i=(k1-1)*(nlstate+ndeath)+l1;
                   4722:              if(i<=j) continue;
                   4723:              for (age=bage; age<=fage; age ++){ 
                   4724:                if ((int)age %5==0){
                   4725:                  v1=varpij[i][i][(int)age]/stepm*YEARM/stepm*YEARM;
                   4726:                  v2=varpij[j][j][(int)age]/stepm*YEARM/stepm*YEARM;
                   4727:                  cv12=varpij[i][j][(int)age]/stepm*YEARM/stepm*YEARM;
                   4728:                  mu1=mu[i][(int) age]/stepm*YEARM ;
                   4729:                  mu2=mu[j][(int) age]/stepm*YEARM;
                   4730:                  c12=cv12/sqrt(v1*v2);
                   4731:                  /* Computing eigen value of matrix of covariance */
                   4732:                  lc1=((v1+v2)+sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                   4733:                  lc2=((v1+v2)-sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
1.135     brouard  4734:                  if ((lc2 <0) || (lc1 <0) ){
1.145     brouard  4735:                    if(first2==1){
                   4736:                      first1=0;
                   4737:                    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);
                   4738:                    }
                   4739:                    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);
                   4740:                    /* lc1=fabs(lc1); */ /* If we want to have them positive */
                   4741:                    /* lc2=fabs(lc2); */
1.135     brouard  4742:                  }
                   4743: 
1.126     brouard  4744:                  /* Eigen vectors */
                   4745:                  v11=(1./sqrt(1+(v1-lc1)*(v1-lc1)/cv12/cv12));
                   4746:                  /*v21=sqrt(1.-v11*v11); *//* error */
                   4747:                  v21=(lc1-v1)/cv12*v11;
                   4748:                  v12=-v21;
                   4749:                  v22=v11;
                   4750:                  tnalp=v21/v11;
                   4751:                  if(first1==1){
                   4752:                    first1=0;
                   4753:                    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);
                   4754:                  }
                   4755:                  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);
                   4756:                  /*printf(fignu*/
                   4757:                  /* mu1+ v11*lc1*cost + v12*lc2*sin(t) */
                   4758:                  /* mu2+ v21*lc1*cost + v22*lc2*sin(t) */
                   4759:                  if(first==1){
                   4760:                    first=0;
1.200     brouard  4761:                    fprintf(ficgp,"\n# Ellipsoids of confidence\n#\n");
1.126     brouard  4762:                    fprintf(ficgp,"\nset parametric;unset label");
                   4763:                    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  4764:                    fprintf(ficgp,"\nset ter svg size 640, 480");
1.126     brouard  4765:                    fprintf(fichtmcov,"\n<br>Ellipsoids of confidence cov(p%1d%1d,p%1d%1d) expressed in year<sup>-1</sup>\
1.201     brouard  4766:  :<a href=\"%s_%d%1d%1d-%1d%1d.svg\">\
                   4767: %s_%d%1d%1d-%1d%1d.svg</A>, ",k1,l1,k2,l2,\
                   4768:                            subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2,\
                   4769:                            subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
                   4770:                    fprintf(fichtmcov,"\n<br><img src=\"%s_%d%1d%1d-%1d%1d.svg\"> ",subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
1.126     brouard  4771:                    fprintf(fichtmcov,"\n<br> Correlation at age %d (%.3f),",(int) age, c12);
1.201     brouard  4772:                    fprintf(ficgp,"\nset out \"%s_%d%1d%1d-%1d%1d.svg\"",subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
1.126     brouard  4773:                    fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);
                   4774:                    fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);
                   4775:                    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",\
                   4776:                            mu1,std,v11,sqrt(lc1),v12,sqrt(lc2),\
                   4777:                            mu2,std,v21,sqrt(lc1),v22,sqrt(lc2));
                   4778:                  }else{
                   4779:                    first=0;
                   4780:                    fprintf(fichtmcov," %d (%.3f),",(int) age, c12);
                   4781:                    fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);
                   4782:                    fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);
                   4783:                    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",\
                   4784:                            mu1,std,v11,sqrt(lc1),v12,sqrt(lc2),\
                   4785:                            mu2,std,v21,sqrt(lc1),v22,sqrt(lc2));
                   4786:                  }/* if first */
                   4787:                } /* age mod 5 */
                   4788:              } /* end loop age */
1.201     brouard  4789:              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  4790:              first=1;
                   4791:            } /*l12 */
                   4792:          } /* k12 */
                   4793:        } /*l1 */
                   4794:       }/* k1 */
1.169     brouard  4795:       /* } */ /* loop covariates */
1.126     brouard  4796:   }
                   4797:   free_ma3x(varpij,1,nlstate,1,nlstate+ndeath,(int) bage, (int)fage);
                   4798:   free_matrix(mu,1,(nlstate+ndeath)*(nlstate+ndeath),(int) bage, (int)fage);
                   4799:   free_matrix(doldm,1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath));
                   4800:   free_matrix(dnewm,1,(nlstate)*(nlstate+ndeath),1,npar);
                   4801:   free_vector(xp,1,npar);
                   4802:   fclose(ficresprob);
                   4803:   fclose(ficresprobcov);
                   4804:   fclose(ficresprobcor);
                   4805:   fflush(ficgp);
                   4806:   fflush(fichtmcov);
                   4807: }
                   4808: 
                   4809: 
                   4810: /******************* Printing html file ***********/
1.201     brouard  4811: void printinghtml(char fileresu[], char title[], char datafile[], int firstpass, \
1.126     brouard  4812:                  int lastpass, int stepm, int weightopt, char model[],\
                   4813:                  int imx,int jmin, int jmax, double jmeanint,char rfileres[],\
1.211     brouard  4814:                  int popforecast, int prevfcast, int estepm ,          \
1.126     brouard  4815:                  double jprev1, double mprev1,double anprev1, \
                   4816:                  double jprev2, double mprev2,double anprev2){
                   4817:   int jj1, k1, i1, cpt;
                   4818: 
                   4819:    fprintf(fichtm,"<ul><li><a href='#firstorder'>Result files (first order: no variance)</a>\n \
                   4820:    <li><a href='#secondorder'>Result files (second order (variance)</a>\n \
                   4821: </ul>");
                   4822:    fprintf(fichtm,"<ul><li><h4><a name='firstorder'>Result files (first order: no variance)</a></h4>\n \
                   4823:  - Observed prevalence in each state (during the period defined between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf): <a href=\"%s\">%s</a> <br>\n ",
1.201     brouard  4824:           jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,subdirf2(fileresu,"P_"),subdirf2(fileresu,"P_"));
1.126     brouard  4825:    fprintf(fichtm,"\
                   4826:  - Estimated transition probabilities over %d (stepm) months: <a href=\"%s\">%s</a><br>\n ",
1.201     brouard  4827:           stepm,subdirf2(fileresu,"PIJ_"),subdirf2(fileresu,"PIJ_"));
1.126     brouard  4828:    fprintf(fichtm,"\
                   4829:  - Period (stable) prevalence in each health state: <a href=\"%s\">%s</a> <br>\n",
1.201     brouard  4830:           subdirf2(fileresu,"PL_"),subdirf2(fileresu,"PL_"));
1.126     brouard  4831:    fprintf(fichtm,"\
1.211     brouard  4832:  - (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  4833:    <a href=\"%s\">%s</a> <br>\n",
1.201     brouard  4834:           estepm,subdirf2(fileresu,"E_"),subdirf2(fileresu,"E_"));
1.211     brouard  4835:    if(prevfcast==1){
                   4836:      fprintf(fichtm,"\
                   4837:  - Prevalence projections by age and states:                           \
1.201     brouard  4838:    <a href=\"%s\">%s</a> <br>\n</li>", subdirf2(fileresu,"F_"),subdirf2(fileresu,"F_"));
1.211     brouard  4839:    }
1.126     brouard  4840: 
                   4841: fprintf(fichtm," \n<ul><li><b>Graphs</b></li><p>");
                   4842: 
1.145     brouard  4843:  m=pow(2,cptcoveff);
1.126     brouard  4844:  if (cptcovn < 1) {m=1;ncodemax[1]=1;}
                   4845: 
                   4846:  jj1=0;
                   4847:  for(k1=1; k1<=m;k1++){
1.192     brouard  4848:    /* for(i1=1; i1<=ncodemax[k1];i1++){ */
1.126     brouard  4849:      jj1++;
                   4850:      if (cptcovn > 0) {
                   4851:        fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");
1.192     brouard  4852:        for (cpt=1; cpt<=cptcoveff;cpt++){ 
1.198     brouard  4853:         fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]);
                   4854:         printf(" V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]);fflush(stdout);
1.192     brouard  4855:        }
1.126     brouard  4856:        fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");
                   4857:      }
1.201     brouard  4858:      /* aij, bij */
1.211     brouard  4859:      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> \
                   4860: <img src=\"%s_%d-1.svg\">",model,subdirf2(optionfilefiname,"PE_"),jj1,subdirf2(optionfilefiname,"PE_"),jj1,subdirf2(optionfilefiname,"PE_"),jj1);
1.126     brouard  4861:      /* Pij */
1.211     brouard  4862:      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  4863: <img src=\"%s_%d-2.svg\">",stepm,subdirf2(optionfilefiname,"PE_"),jj1,subdirf2(optionfilefiname,"PE_"),jj1,subdirf2(optionfilefiname,"PE_"),jj1);     
1.126     brouard  4864:      /* Quasi-incidences */
1.211     brouard  4865:      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  4866:  before but expressed in per year i.e. quasi incidences if stepm is small and probabilities too,\
1.211     brouard  4867:  incidence (rates) are the limit when h tends to zero of the ratio of the probability  <sub>h</sub>P<sub>ij</sub> \
                   4868: 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  4869: <img src=\"%s_%d-3.svg\">",stepm,subdirf2(optionfilefiname,"PE_"),jj1,subdirf2(optionfilefiname,"PE_"),jj1,subdirf2(optionfilefiname,"PE_"),jj1); 
                   4870:      /* Survival functions (period) in state j */
                   4871:      for(cpt=1; cpt<=nlstate;cpt++){
                   4872:        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> \
                   4873: <img src=\"%s_%d-%d.svg\">", cpt, cpt, nlstate, subdirf2(optionfilefiname,"LIJ_"),cpt,jj1,subdirf2(optionfilefiname,"LIJ_"),cpt,jj1,subdirf2(optionfilefiname,"LIJ_"),cpt,jj1);
                   4874:      }
                   4875:      /* State specific survival functions (period) */
                   4876:      for(cpt=1; cpt<=nlstate;cpt++){
1.208     brouard  4877:        fprintf(fichtm,"<br>\n- Survival functions from state %d in each live state and total.\
1.201     brouard  4878:  Or probability to survive in various states (1 to %d) being in state %d at different ages.\
                   4879:  <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);
                   4880:      }
                   4881:      /* Period (stable) prevalence in each health state */
                   4882:      for(cpt=1; cpt<=nlstate;cpt++){
                   4883:        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> \
                   4884: <img src=\"%s_%d-%d.svg\">", cpt, cpt, nlstate, subdirf2(optionfilefiname,"P_"),cpt,jj1,subdirf2(optionfilefiname,"P_"),cpt,jj1,subdirf2(optionfilefiname,"P_"),cpt,jj1);
                   4885:      }
1.211     brouard  4886:     if(prevfcast==1){
                   4887:       /* Projection of prevalence up to period (stable) prevalence in each health state */
                   4888:       for(cpt=1; cpt<=nlstate;cpt++){
                   4889:        fprintf(fichtm,"<br>\n- Projection of prevalece 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> \
                   4890: <img src=\"%s_%d-%d.svg\">", cpt, cpt, nlstate, subdirf2(optionfilefiname,"PROJ_"),cpt,jj1,subdirf2(optionfilefiname,"PROJ_"),cpt,jj1,subdirf2(optionfilefiname,"PROJ_"),cpt,jj1);
                   4891:       }
                   4892:     }
                   4893: 
1.126     brouard  4894:      for(cpt=1; cpt<=nlstate;cpt++) {
1.205     brouard  4895:        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  4896: <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  4897:      }
1.192     brouard  4898:    /* } /\* end i1 *\/ */
1.126     brouard  4899:  }/* End k1 */
                   4900:  fprintf(fichtm,"</ul>");
                   4901: 
                   4902:  fprintf(fichtm,"\
                   4903: \n<br><li><h4> <a name='secondorder'>Result files (second order: variances)</a></h4>\n\
1.193     brouard  4904:  - Parameter file with estimated parameters and covariance matrix: <a href=\"%s\">%s</a> <br> \
1.203     brouard  4905:  - 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  4906: But because parameters are usually highly correlated (a higher incidence of disability \
                   4907: and a higher incidence of recovery can give very close observed transition) it might \
                   4908: be very useful to look not only at linear confidence intervals estimated from the \
                   4909: variances but at the covariance matrix. And instead of looking at the estimated coefficients \
                   4910: (parameters) of the logistic regression, it might be more meaningful to visualize the \
                   4911: covariance matrix of the one-step probabilities. \
                   4912: See page 'Matrix of variance-covariance of one-step probabilities' below. \n", rfileres,rfileres);
1.126     brouard  4913: 
1.193     brouard  4914:  fprintf(fichtm," - Standard deviation of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
1.201     brouard  4915:         subdirf2(fileresu,"PROB_"),subdirf2(fileresu,"PROB_"));
1.126     brouard  4916:  fprintf(fichtm,"\
                   4917:  - Variance-covariance of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
1.201     brouard  4918:         subdirf2(fileresu,"PROBCOV_"),subdirf2(fileresu,"PROBCOV_"));
1.126     brouard  4919: 
                   4920:  fprintf(fichtm,"\
                   4921:  - Correlation matrix of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
1.201     brouard  4922:         subdirf2(fileresu,"PROBCOR_"),subdirf2(fileresu,"PROBCOR_"));
1.126     brouard  4923:  fprintf(fichtm,"\
                   4924:  - 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): \
                   4925:    <a href=\"%s\">%s</a> <br>\n</li>",
1.201     brouard  4926:           estepm,subdirf2(fileresu,"CVE_"),subdirf2(fileresu,"CVE_"));
1.126     brouard  4927:  fprintf(fichtm,"\
                   4928:  - (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): \
                   4929:    <a href=\"%s\">%s</a> <br>\n</li>",
1.201     brouard  4930:           estepm,subdirf2(fileresu,"STDE_"),subdirf2(fileresu,"STDE_"));
1.126     brouard  4931:  fprintf(fichtm,"\
1.128     brouard  4932:  - 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  4933:         estepm, subdirf2(fileresu,"V_"),subdirf2(fileresu,"V_"));
1.126     brouard  4934:  fprintf(fichtm,"\
1.128     brouard  4935:  - 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  4936:         estepm, subdirf2(fileresu,"T_"),subdirf2(fileresu,"T_"));
1.126     brouard  4937:  fprintf(fichtm,"\
                   4938:  - Standard deviation of period (stable) prevalences: <a href=\"%s\">%s</a> <br>\n",\
1.201     brouard  4939:         subdirf2(fileresu,"VPL_"),subdirf2(fileresu,"VPL_"));
1.126     brouard  4940: 
                   4941: /*  if(popforecast==1) fprintf(fichtm,"\n */
                   4942: /*  - Prevalences forecasting: <a href=\"f%s\">f%s</a> <br>\n */
                   4943: /*  - Population forecasting (if popforecast=1): <a href=\"pop%s\">pop%s</a> <br>\n */
                   4944: /*     <br>",fileres,fileres,fileres,fileres); */
                   4945: /*  else  */
                   4946: /*    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); */
                   4947:  fflush(fichtm);
                   4948:  fprintf(fichtm," <ul><li><b>Graphs</b></li><p>");
                   4949: 
1.145     brouard  4950:  m=pow(2,cptcoveff);
1.126     brouard  4951:  if (cptcovn < 1) {m=1;ncodemax[1]=1;}
                   4952: 
                   4953:  jj1=0;
                   4954:  for(k1=1; k1<=m;k1++){
1.192     brouard  4955:    /* for(i1=1; i1<=ncodemax[k1];i1++){ */
1.126     brouard  4956:      jj1++;
                   4957:      if (cptcovn > 0) {
                   4958:        fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");
                   4959:        for (cpt=1; cpt<=cptcoveff;cpt++) 
1.198     brouard  4960:         fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]);
1.126     brouard  4961:        fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");
                   4962:      }
                   4963:      for(cpt=1; cpt<=nlstate;cpt++) {
                   4964:        fprintf(fichtm,"<br>- Observed (cross-sectional) and period (incidence based) \
1.205     brouard  4965: prevalence (with 95%% confidence interval) in state (%d): <a href=\"%s_%d%d.svg\"> %s_%d-%d.svg <br>\
                   4966: <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  4967:      }
                   4968:      fprintf(fichtm,"\n<br>- Total life expectancy by age and \
1.128     brouard  4969: health expectancies in states (1) and (2). If popbased=1 the smooth (due to the model) \
                   4970: true period expectancies (those weighted with period prevalences are also\
                   4971:  drawn in addition to the population based expectancies computed using\
1.205     brouard  4972:  observed and cahotic prevalences:  <a href=\"%s_%d.svg\">%s_%d.svg<br>\
                   4973: <img src=\"%s_%d.svg\">",subdirf2(optionfilefiname,"E_"),jj1,subdirf2(optionfilefiname,"E_"),jj1,subdirf2(optionfilefiname,"E_"),jj1);
1.192     brouard  4974:    /* } /\* end i1 *\/ */
1.126     brouard  4975:  }/* End k1 */
                   4976:  fprintf(fichtm,"</ul>");
                   4977:  fflush(fichtm);
                   4978: }
                   4979: 
                   4980: /******************* Gnuplot file **************/
1.211     brouard  4981:     void printinggnuplot(char fileresu[], char optionfilefiname[], double ageminpar, double agemaxpar, double fage , int prevfcast, char pathc[], double p[]){
1.126     brouard  4982: 
                   4983:   char dirfileres[132],optfileres[132];
1.164     brouard  4984:   int cpt=0,k1=0,i=0,k=0,j=0,jk=0,k2=0,k3=0,ij=0,l=0;
1.211     brouard  4985:   int lv=0, vlv=0, kl=0;
1.130     brouard  4986:   int ng=0;
1.201     brouard  4987:   int vpopbased;
1.126     brouard  4988: /*   if((ficgp=fopen(optionfilegnuplot,"a"))==NULL) { */
                   4989: /*     printf("Problem with file %s",optionfilegnuplot); */
                   4990: /*     fprintf(ficlog,"Problem with file %s",optionfilegnuplot); */
                   4991: /*   } */
                   4992: 
                   4993:   /*#ifdef windows */
                   4994:   fprintf(ficgp,"cd \"%s\" \n",pathc);
                   4995:     /*#endif */
                   4996:   m=pow(2,cptcoveff);
                   4997: 
1.202     brouard  4998:   /* Contribution to likelihood */
                   4999:   /* Plot the probability implied in the likelihood */
                   5000:     fprintf(ficgp,"\n# Contributions to the Likelihood, mle >=1. For mle=4 no interpolation, pure matrix products.\n#\n");
                   5001:     fprintf(ficgp,"\n set log y; unset log x;set xlabel \"Age\"; set ylabel \"Likelihood (-2Log(L))\";");
                   5002:     /* fprintf(ficgp,"\nset ter svg size 640, 480"); */ /* Too big for svg */
1.205     brouard  5003:     fprintf(ficgp,"\nset ter pngcairo size 640, 480");
1.204     brouard  5004: /* nice for mle=4 plot by number of matrix products.
1.202     brouard  5005:    replot  "rrtest1/toto.txt" u 2:($4 == 1 && $5==2 ? $9 : 1/0):5 t "p12" with point lc 1 */
                   5006: /* replot exp(p1+p2*x)/(1+exp(p1+p2*x)+exp(p3+p4*x)+exp(p5+p6*x)) t "p12(x)"  */
                   5007:     /* fprintf(ficgp,"\nset out \"%s.svg\";",subdirf2(optionfilefiname,"ILK_")); */
1.204     brouard  5008:     fprintf(ficgp,"\nset out \"%s-dest.png\";",subdirf2(optionfilefiname,"ILK_"));
1.205     brouard  5009:     fprintf(ficgp,"\nset log y;plot  \"%s\" u 2:(-$12):5 t \"All sample, transitions colored by destination\" with dots lc variable; set out;\n",subdirf(fileresilk));
1.204     brouard  5010:     fprintf(ficgp,"\nset out \"%s-ori.png\";",subdirf2(optionfilefiname,"ILK_"));
1.205     brouard  5011:     fprintf(ficgp,"\nset log y;plot  \"%s\" u 2:(-$12):4 t \"All sample, transitions colored by origin\" with dots lc variable; set out;\n\n",subdirf(fileresilk));
1.204     brouard  5012:     for (i=1; i<= nlstate ; i ++) {
                   5013:       fprintf(ficgp,"\nset out \"%s-p%dj.png\";set ylabel \"Probability for each individual/wave\";",subdirf2(optionfilefiname,"ILK_"),i);
1.205     brouard  5014:       fprintf(ficgp,"unset log;\n# plot weighted, mean weight should have point size of 0.5\n plot  \"%s\"",subdirf(fileresilk));
                   5015:       fprintf(ficgp,"  u  2:($4 == %d && $5==%d ? $9 : 1/0):($11/4.):5 t \"p%d%d\" with points pointtype 7 ps variable lc variable \\\n",i,1,i,1);
1.204     brouard  5016:       for (j=2; j<= nlstate+ndeath ; j ++) {
1.205     brouard  5017:        fprintf(ficgp,",\\\n \"\" u  2:($4 == %d && $5==%d ? $9 : 1/0):($11/4.):5 t \"p%d%d\" with points pointtype 7 ps variable lc variable ",i,j,i,j);
1.204     brouard  5018:       }
                   5019:       fprintf(ficgp,";\nset out; unset ylabel;\n"); 
                   5020:     }
                   5021:     /* 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 */             
                   5022:     /* fprintf(ficgp,"\nset log y;plot  \"%s\" u 2:(-$11):3 t \"All sample, all transitions\" with dots lc variable",subdirf(fileresilk)); */
                   5023:     /* 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  5024:     fprintf(ficgp,"\nset out;unset log\n");
1.202     brouard  5025:     /* fprintf(ficgp,"\nset out \"%s.svg\"; replot; set out; # bug gnuplot",subdirf2(optionfilefiname,"ILK_")); */
                   5026: 
1.126     brouard  5027:   strcpy(dirfileres,optionfilefiname);
                   5028:   strcpy(optfileres,"vpl");
                   5029:  /* 1eme*/
1.211     brouard  5030:   for (cpt=1; cpt<= nlstate ; cpt ++) { /* For each live state */
                   5031:     for (k1=1; k1<= m ; k1 ++) { /* For each combination of covariate */
                   5032:       /* plot [100000000000000000000:-100000000000000000000] "mysbiaspar/vplrmysbiaspar.txt to check */
                   5033:       fprintf(ficgp,"\n# 1st: Period (stable) prevalence with CI: 'VPL_' files ");
                   5034:       for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
                   5035:        lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
                   5036:        /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   5037:        /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   5038:        /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   5039:        vlv= nbcode[Tvaraff[lv]][lv];
                   5040:        fprintf(ficgp," V%d=%d ",k,vlv);
                   5041:       }
                   5042:       fprintf(ficgp,"\n#\n");
                   5043: 
1.201     brouard  5044:      fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" \n",subdirf2(optionfilefiname,"V_"),cpt,k1);
                   5045:      fprintf(ficgp,"\n#set out \"V_%s_%d-%d.svg\" \n",optionfilefiname,cpt,k1);
1.126     brouard  5046:      fprintf(ficgp,"set xlabel \"Age\" \n\
                   5047: set ylabel \"Probability\" \n\
1.199     brouard  5048: set ter svg size 640, 480\n\
1.201     brouard  5049: plot [%.f:%.f] \"%s\" every :::%d::%d u 1:2 \"%%lf",ageminpar,fage,subdirf2(fileresu,"VPL_"),k1-1,k1-1);
1.126     brouard  5050: 
                   5051:      for (i=1; i<= nlstate ; i ++) {
1.170     brouard  5052:        if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   5053:        else        fprintf(ficgp," %%*lf (%%*lf)");
1.126     brouard  5054:      }
1.201     brouard  5055:      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  5056:      for (i=1; i<= nlstate ; i ++) {
1.170     brouard  5057:        if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   5058:        else fprintf(ficgp," %%*lf (%%*lf)");
1.126     brouard  5059:      } 
1.201     brouard  5060:      fprintf(ficgp,"\" t\"95%% CI\" w l lt 1,\"%s\" every :::%d::%d u 1:($2-1.96*$3) \"%%lf",subdirf2(fileresu,"VPL_"),k1-1,k1-1); 
1.126     brouard  5061:      for (i=1; i<= nlstate ; i ++) {
1.170     brouard  5062:        if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   5063:        else fprintf(ficgp," %%*lf (%%*lf)");
1.126     brouard  5064:      }  
1.201     brouard  5065:      fprintf(ficgp,"\" t\"\" w l lt 1,\"%s\" every :::%d::%d u 1:($%d) t\"Observed prevalence \" w l lt 2",subdirf2(fileresu,"P_"),k1-1,k1-1,2+4*(cpt-1));
                   5066:      fprintf(ficgp,"\nset out \n");
                   5067:     } /* k1 */
                   5068:   } /* cpt */
1.126     brouard  5069:   /*2 eme*/
                   5070:   for (k1=1; k1<= m ; k1 ++) { 
1.211     brouard  5071:       fprintf(ficgp,"\n# 2nd: Total life expectancy with CI: 't' files ");
                   5072:       for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
                   5073:        lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
                   5074:        /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   5075:        /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   5076:        /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   5077:        vlv= nbcode[Tvaraff[lv]][lv];
                   5078:        fprintf(ficgp," V%d=%d ",k,vlv);
                   5079:       }
                   5080:       fprintf(ficgp,"\n#\n");
                   5081: 
1.201     brouard  5082:     fprintf(ficgp,"\nset out \"%s_%d.svg\" \n",subdirf2(optionfilefiname,"E_"),k1);
                   5083:     for(vpopbased=0; vpopbased <= popbased; vpopbased++){ /* Done for vpopbased=0 and vpopbased=1 if popbased==1*/
                   5084:       if(vpopbased==0)
                   5085:        fprintf(ficgp,"set ylabel \"Years\" \nset ter svg size 640, 480\nplot [%.f:%.f] ",ageminpar,fage);
                   5086:       else
                   5087:        fprintf(ficgp,"\nreplot ");
                   5088:       for (i=1; i<= nlstate+1 ; i ++) {
                   5089:        k=2*i;
                   5090:        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);
                   5091:        for (j=1; j<= nlstate+1 ; j ++) {
                   5092:          if (j==i) fprintf(ficgp," %%lf (%%lf)");
                   5093:          else fprintf(ficgp," %%*lf (%%*lf)");
                   5094:        }   
                   5095:        if (i== 1) fprintf(ficgp,"\" t\"TLE\" w l lt %d, \\\n",i);
                   5096:        else fprintf(ficgp,"\" t\"LE in state (%d)\" w l lt %d, \\\n",i-1,i+1);
                   5097:        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);
                   5098:        for (j=1; j<= nlstate+1 ; j ++) {
                   5099:          if (j==i) fprintf(ficgp," %%lf (%%lf)");
                   5100:          else fprintf(ficgp," %%*lf (%%*lf)");
                   5101:        }   
                   5102:        fprintf(ficgp,"\" t\"\" w l lt 0,");
                   5103:        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);
                   5104:        for (j=1; j<= nlstate+1 ; j ++) {
                   5105:          if (j==i) fprintf(ficgp," %%lf (%%lf)");
                   5106:          else fprintf(ficgp," %%*lf (%%*lf)");
                   5107:        }   
                   5108:        if (i== (nlstate+1)) fprintf(ficgp,"\" t\"\" w l lt 0");
                   5109:        else fprintf(ficgp,"\" t\"\" w l lt 0,\\\n");
                   5110:       } /* state */
                   5111:     } /* vpopbased */
                   5112:     fprintf(ficgp,"\nset out;set out \"%s_%d.svg\"; replot; set out; \n",subdirf2(optionfilefiname,"E_"),k1); /* Buggy gnuplot */
                   5113:   } /* k1 */
1.211     brouard  5114: 
                   5115: 
1.126     brouard  5116:   /*3eme*/
                   5117:   for (k1=1; k1<= m ; k1 ++) { 
                   5118:     for (cpt=1; cpt<= nlstate ; cpt ++) {
1.211     brouard  5119:       fprintf(ficgp,"\n# 3d: Life expectancy with EXP_ files:  cov=%d state=%d",k1, cpt);
                   5120:       for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
                   5121:        lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
                   5122:        /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   5123:        /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   5124:        /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   5125:        vlv= nbcode[Tvaraff[lv]][lv];
                   5126:        fprintf(ficgp," V%d=%d ",k,vlv);
                   5127:       }
                   5128:       fprintf(ficgp,"\n#\n");
                   5129: 
1.126     brouard  5130:       /*       k=2+nlstate*(2*cpt-2); */
                   5131:       k=2+(nlstate+1)*(cpt-1);
1.201     brouard  5132:       fprintf(ficgp,"\nset out \"%s_%d%d.svg\" \n",subdirf2(optionfilefiname,"EXP_"),cpt,k1);
1.199     brouard  5133:       fprintf(ficgp,"set ter svg size 640, 480\n\
1.201     brouard  5134: 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  5135:       /*fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d-2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);
                   5136:        for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");
                   5137:        fprintf(ficgp,"\" t \"e%d1\" w l",cpt);
                   5138:        fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d+2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);
                   5139:        for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");
                   5140:        fprintf(ficgp,"\" t \"e%d1\" w l",cpt);
                   5141:        
                   5142:       */
                   5143:       for (i=1; i< nlstate ; i ++) {
1.201     brouard  5144:        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  5145:        /*      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);*/
                   5146:        
                   5147:       } 
1.201     brouard  5148:       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  5149:     }
                   5150:   }
                   5151:   
1.201     brouard  5152:   /* Survival functions (period) from state i in state j by initial state i */
                   5153:   for (k1=1; k1<= m ; k1 ++) { /* For each multivariate if any */
                   5154:     for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state */
1.211     brouard  5155:       fprintf(ficgp,"\n#\n#\n# Survival functions in state j : 'LIJ_' files, cov=%d state=%d",k1, cpt);
                   5156:       for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
                   5157:        lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
                   5158:        /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   5159:        /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   5160:        /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   5161:        vlv= nbcode[Tvaraff[lv]][lv];
                   5162:        fprintf(ficgp," V%d=%d ",k,vlv);
                   5163:       }
                   5164:       fprintf(ficgp,"\n#\n");
                   5165: 
1.201     brouard  5166:       fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" \n",subdirf2(optionfilefiname,"LIJ_"),cpt,k1);
                   5167:       fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability to be alive\" \n\
                   5168: set ter svg size 640, 480\n\
                   5169: unset log y\n\
                   5170: plot [%.f:%.f]  ", ageminpar, agemaxpar);
1.211     brouard  5171:       k=3;
1.201     brouard  5172:       for (i=1; i<= nlstate ; i ++){
                   5173:        if(i==1)
                   5174:          fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJ_"));
                   5175:        else
                   5176:          fprintf(ficgp,", '' ");
                   5177:        l=(nlstate+ndeath)*(i-1)+1;
                   5178:        fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l);
                   5179:        for (j=2; j<= nlstate+ndeath ; j ++)
                   5180:          fprintf(ficgp,"+$%d",k+l+j-1);
                   5181:        fprintf(ficgp,")) t \"l(%d,%d)\" w l",i,cpt);
                   5182:       } /* nlstate */
                   5183:       fprintf(ficgp,"\nset out\n");
                   5184:     } /* end cpt state*/ 
                   5185:   } /* end covariate */  
                   5186: 
                   5187:   /* Survival functions (period) from state i in state j by final state j */
1.202     brouard  5188:   for (k1=1; k1<= m ; k1 ++) { /* For each covariate if any */
1.201     brouard  5189:     for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each inital state  */
                   5190:       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  5191:       for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
                   5192:        lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
                   5193:        /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   5194:        /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   5195:        /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   5196:        vlv= nbcode[Tvaraff[lv]][lv];
                   5197:        fprintf(ficgp," V%d=%d ",k,vlv);
                   5198:       }
                   5199:       fprintf(ficgp,"\n#\n");
                   5200: 
1.201     brouard  5201:       fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" \n",subdirf2(optionfilefiname,"LIJT_"),cpt,k1);
                   5202:       fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability to be alive\" \n\
                   5203: set ter svg size 640, 480\n\
                   5204: unset log y\n\
                   5205: plot [%.f:%.f]  ", ageminpar, agemaxpar);
1.211     brouard  5206:       k=3;
1.201     brouard  5207:       for (j=1; j<= nlstate ; j ++){ /* Lived in state j */
                   5208:        if(j==1)
                   5209:          fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJ_"));
                   5210:        else
                   5211:          fprintf(ficgp,", '' ");
                   5212:        l=(nlstate+ndeath)*(cpt-1) +j;
                   5213:        fprintf(ficgp," u (($1==%d && (floor($2)%%5 == 0)) ? ($3):1/0):($%d",k1,k+l);
                   5214:        /* for (i=2; i<= nlstate+ndeath ; i ++) */
                   5215:        /*   fprintf(ficgp,"+$%d",k+l+i-1); */
                   5216:        fprintf(ficgp,") t \"l(%d,%d)\" w l",cpt,j);
                   5217:       } /* nlstate */
                   5218:       fprintf(ficgp,", '' ");
                   5219:       fprintf(ficgp," u (($1==%d && (floor($2)%%5 == 0)) ? ($3):1/0):(",k1);
                   5220:       for (j=1; j<= nlstate ; j ++){ /* Lived in state j */
                   5221:        l=(nlstate+ndeath)*(cpt-1) +j;
                   5222:        if(j < nlstate)
                   5223:          fprintf(ficgp,"$%d +",k+l);
                   5224:        else
                   5225:          fprintf(ficgp,"$%d) t\"l(%d,.)\" w l",k+l,cpt);
                   5226:       }
                   5227:       fprintf(ficgp,"\nset out\n");
                   5228:     } /* end cpt state*/ 
                   5229:   } /* end covariate */  
                   5230: 
1.202     brouard  5231:   /* CV preval stable (period) for each covariate */
1.211     brouard  5232:   for (k1=1; k1<= m ; k1 ++) { /* For each covariate combination (1 to m=2**k), if any covariate is present */
1.153     brouard  5233:     for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state */
1.211     brouard  5234:       fprintf(ficgp,"\n#\n#\n#CV preval stable (period): 'pij' files, covariatecombination#=%d state=%d",k1, cpt);
                   5235:       for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
                   5236:        lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
                   5237:        /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   5238:        /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   5239:        /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   5240:        vlv= nbcode[Tvaraff[lv]][lv];
                   5241:        fprintf(ficgp," V%d=%d ",k,vlv);
                   5242:       }
                   5243:       fprintf(ficgp,"\n#\n");
                   5244: 
1.201     brouard  5245:       fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" \n",subdirf2(optionfilefiname,"P_"),cpt,k1);
1.126     brouard  5246:       fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \n\
1.199     brouard  5247: set ter svg size 640, 480\n\
1.126     brouard  5248: unset log y\n\
1.153     brouard  5249: plot [%.f:%.f]  ", ageminpar, agemaxpar);
1.211     brouard  5250:       k=3; /* Offset */
1.153     brouard  5251:       for (i=1; i<= nlstate ; i ++){
                   5252:        if(i==1)
1.201     brouard  5253:          fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJ_"));
1.153     brouard  5254:        else
                   5255:          fprintf(ficgp,", '' ");
1.154     brouard  5256:        l=(nlstate+ndeath)*(i-1)+1;
                   5257:        fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l);
1.201     brouard  5258:        for (j=2; j<= nlstate ; j ++)
                   5259:          fprintf(ficgp,"+$%d",k+l+j-1);
1.153     brouard  5260:        fprintf(ficgp,")) t \"prev(%d,%d)\" w l",i,cpt);
                   5261:       } /* nlstate */
1.201     brouard  5262:       fprintf(ficgp,"\nset out\n");
1.153     brouard  5263:     } /* end cpt state*/ 
                   5264:   } /* end covariate */  
1.201     brouard  5265: 
1.211     brouard  5266:   if(prevfcast==1){
                   5267:   /* Projection from cross-sectional to stable (period) for each covariate */
                   5268: 
                   5269:     for (k1=1; k1<= m ; k1 ++) { /* For each covariate combination (1 to m=2**k), if any covariate is present */
                   5270:       for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state */
                   5271:        fprintf(ficgp,"\n#\n#\n#Projection of prevalence to stable (period): 'PROJ_' files, covariatecombination#=%d state=%d",k1, cpt);
                   5272:        for (k=1; k<=cptcoveff; k++){    /* For each correspondig covariate value  */
                   5273:          lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to k1 combination and kth covariate */
                   5274:          /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   5275:          /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   5276:          /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   5277:          vlv= nbcode[Tvaraff[lv]][lv];
                   5278:          fprintf(ficgp," V%d=%d ",k,vlv);
                   5279:        }
                   5280:        fprintf(ficgp,"\n#\n");
                   5281:        
                   5282:        fprintf(ficgp,"# hpijx=probability over h years, hp.jx is weighted by observed prev\n ");
                   5283:        fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" \n",subdirf2(optionfilefiname,"PROJ_"),cpt,k1);
                   5284:        fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Prevalence\" \n\
                   5285: set ter svg size 640, 480\n\
                   5286: unset log y\n\
                   5287: plot [%.f:%.f]  ", ageminpar, agemaxpar);
                   5288:        for (i=1; i<= nlstate+1 ; i ++){  /* nlstate +1 p11 p21 p.1 */
                   5289:          /*#  V1  = 1  V2 =  0 yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
                   5290:          /*#   1    2   3    4    5      6  7   8   9   10   11 12  13   14  15 */   
                   5291:          /*# yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
                   5292:          /*#   1       2   3    4    5      6  7   8   9   10   11 12  13   14  15 */   
                   5293:          if(i==1){
                   5294:            fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"F_"));
                   5295:          }else{
                   5296:            fprintf(ficgp,",\\\n '' ");
                   5297:          }
                   5298:          if(cptcoveff ==0){ /* No covariate */
                   5299:            fprintf(ficgp," u 2:("); /* Age is in 2 */
                   5300:            /*# yearproj age p11 p21 p31 p.1 p12 p22 p32 p.2 p13 p23 p33 p.3 p14 p24 p34 p.4*/
                   5301:            /*#   1       2   3   4   5  6    7  8   9   10  11  12  13  14  15  16  17  18 */
                   5302:            if(i==nlstate+1)
                   5303:              fprintf(ficgp," $%d/(1.-$%d)) t 'p.%d' with line ", \
                   5304:                        2+(cpt-1)*(nlstate+1)+1+(i-1),  2+1+(i-1)+(nlstate+1)*nlstate,cpt );
                   5305:            else
                   5306:              fprintf(ficgp," $%d/(1.-$%d)) t 'p%d%d' with line ", \
                   5307:                      2+(cpt-1)*(nlstate+1)+1+(i-1),  2+1+(i-1)+(nlstate+1)*nlstate,i,cpt );
                   5308:          }else{
                   5309:            fprintf(ficgp,"u 6:(("); /* Age is in 6 */
                   5310:            /*#  V1  = 1  V2 =  0 yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
                   5311:            /*#   1    2   3    4    5      6  7   8   9   10   11 12  13   14  15 */   
                   5312:            kl=0;
                   5313:            for (k=1; k<=cptcoveff; k++){    /* For each covariate  */
                   5314:              lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to k1 combination and kth covariate */
                   5315:              /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   5316:              /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   5317:              /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   5318:              vlv= nbcode[Tvaraff[lv]][lv];
                   5319:              kl++;
                   5320:              /* 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 *\/ */
                   5321:              /*6+(cpt-1)*(nlstate+1)+1+(i-1)+(nlstate+1)*nlstate; 6+(1-1)*(2+1)+1+(1-1) +(2+1)*2=13 */ 
                   5322:              /*6+1+(i-1)+(nlstate+1)*nlstate; 6+1+(1-1) +(2+1)*2=13 */ 
                   5323:              /* ''  u 6:(($1==1 && $2==0 && $3==2 && $4==0)? $9/(1.-$15) : 1/0):($5==2000? 3:2) t 'p.1' with line lc variable*/
                   5324:              if(k==cptcoveff)
                   5325:                if(i==nlstate+1)
                   5326:                  fprintf(ficgp,"$%d==%d && $%d==%d)? $%d/(1.-$%d) : 1/0) t 'p.%d' with line ",kl, k,kl+1,nbcode[Tvaraff[lv]][lv], \
                   5327:                          6+(cpt-1)*(nlstate+1)+1+(i-1),  6+1+(i-1)+(nlstate+1)*nlstate,cpt );
                   5328:                else
                   5329:                  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], \
                   5330:                          6+(cpt-1)*(nlstate+1)+1+(i-1),  6+1+(i-1)+(nlstate+1)*nlstate,i,cpt );
                   5331:              else{
                   5332:                fprintf(ficgp,"$%d==%d && $%d==%d && ",kl, k,kl+1,nbcode[Tvaraff[lv]][lv]);
                   5333:                kl++;
                   5334:              }
                   5335:            } /* end covariate */
                   5336:          } /* end if covariate */
                   5337:        } /* nlstate */
                   5338:        fprintf(ficgp,"\nset out\n");
                   5339:       } /* end cpt state*/
                   5340:     } /* end covariate */
                   5341:   } /* End if prevfcast */
                   5342: 
                   5343: 
1.126     brouard  5344:   /* proba elementaires */
1.187     brouard  5345:   fprintf(ficgp,"\n##############\n#MLE estimated parameters\n#############\n");
1.126     brouard  5346:   for(i=1,jk=1; i <=nlstate; i++){
1.187     brouard  5347:     fprintf(ficgp,"# initial state %d\n",i);
1.126     brouard  5348:     for(k=1; k <=(nlstate+ndeath); k++){
                   5349:       if (k != i) {
1.187     brouard  5350:        fprintf(ficgp,"#   current state %d\n",k);
1.126     brouard  5351:        for(j=1; j <=ncovmodel; j++){
1.187     brouard  5352:          fprintf(ficgp,"p%d=%f; ",jk,p[jk]);
1.126     brouard  5353:          jk++; 
                   5354:        }
1.187     brouard  5355:        fprintf(ficgp,"\n");
1.126     brouard  5356:       }
                   5357:     }
                   5358:    }
1.187     brouard  5359:   fprintf(ficgp,"##############\n#\n");
                   5360: 
1.145     brouard  5361:   /*goto avoid;*/
1.200     brouard  5362:   fprintf(ficgp,"\n##############\n#Graphics of probabilities or incidences\n#############\n");
1.187     brouard  5363:   fprintf(ficgp,"# logi(p12/p11)=a12+b12*age+c12age*age+d12*V1+e12*V1*age\n");
                   5364:   fprintf(ficgp,"# logi(p12/p11)=p1 +p2*age +p3*age*age+ p4*V1+ p5*V1*age\n");
                   5365:   fprintf(ficgp,"# logi(p13/p11)=a13+b13*age+c13age*age+d13*V1+e13*V1*age\n");
                   5366:   fprintf(ficgp,"# logi(p13/p11)=p6 +p7*age +p8*age*age+ p9*V1+ p10*V1*age\n");
                   5367:   fprintf(ficgp,"# p12+p13+p14+p11=1=p11(1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
                   5368:   fprintf(ficgp,"#                      +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age)+...)\n");
                   5369:   fprintf(ficgp,"# p11=1/(1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
                   5370:   fprintf(ficgp,"#                      +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age)+...)\n");
                   5371:   fprintf(ficgp,"# p12=exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)/\n");
                   5372:   fprintf(ficgp,"#     (1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
                   5373:   fprintf(ficgp,"#       +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age))\n");
                   5374:   fprintf(ficgp,"#       +exp(a14+b14*age+c14age*age+d14*V1+e14*V1*age)+...)\n");
                   5375:   fprintf(ficgp,"#\n");
1.201     brouard  5376:    for(ng=1; ng<=3;ng++){ /* Number of graphics: first is logit, 2nd is probabilities, third is incidences per year*/
1.187     brouard  5377:      fprintf(ficgp,"# ng=%d\n",ng);
                   5378:      fprintf(ficgp,"#   jk=1 to 2^%d=%d\n",cptcoveff,m);
1.126     brouard  5379:      for(jk=1; jk <=m; jk++) {
1.187     brouard  5380:        fprintf(ficgp,"#    jk=%d\n",jk);
1.201     brouard  5381:        fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" ",subdirf2(optionfilefiname,"PE_"),jk,ng);
                   5382:        fprintf(ficgp,"\nset ter svg size 640, 480 ");
                   5383:        if (ng==1){
                   5384:         fprintf(ficgp,"\nset ylabel \"Value of the logit of the model\"\n"); /* exp(a12+b12*x) could be nice */
                   5385:         fprintf(ficgp,"\nunset log y");
                   5386:        }else if (ng==2){
                   5387:         fprintf(ficgp,"\nset ylabel \"Probability\"\n");
                   5388:         fprintf(ficgp,"\nset log y");
                   5389:        }else if (ng==3){
1.126     brouard  5390:         fprintf(ficgp,"\nset ylabel \"Quasi-incidence per year\"\n");
1.201     brouard  5391:         fprintf(ficgp,"\nset log y");
                   5392:        }else
                   5393:         fprintf(ficgp,"\nunset title ");
                   5394:        fprintf(ficgp,"\nplot  [%.f:%.f] ",ageminpar,agemaxpar);
1.126     brouard  5395:        i=1;
                   5396:        for(k2=1; k2<=nlstate; k2++) {
                   5397:         k3=i;
                   5398:         for(k=1; k<=(nlstate+ndeath); k++) {
                   5399:           if (k != k2){
1.201     brouard  5400:             switch( ng) {
                   5401:             case 1:
1.187     brouard  5402:               if(nagesqr==0)
1.201     brouard  5403:                 fprintf(ficgp," p%d+p%d*x",i,i+1);
1.187     brouard  5404:               else /* nagesqr =1 */
1.201     brouard  5405:                 fprintf(ficgp," p%d+p%d*x+p%d*x*x",i,i+1,i+1+nagesqr);
                   5406:               break;
                   5407:             case 2: /* ng=2 */
1.187     brouard  5408:               if(nagesqr==0)
                   5409:                 fprintf(ficgp," exp(p%d+p%d*x",i,i+1);
                   5410:               else /* nagesqr =1 */
1.201     brouard  5411:                   fprintf(ficgp," exp(p%d+p%d*x+p%d*x*x",i,i+1,i+1+nagesqr);
                   5412:               break;
                   5413:             case 3:
                   5414:               if(nagesqr==0)
                   5415:                 fprintf(ficgp," %f*exp(p%d+p%d*x",YEARM/stepm,i,i+1);
                   5416:               else /* nagesqr =1 */
                   5417:                 fprintf(ficgp," %f*exp(p%d+p%d*x+p%d*x*x",YEARM/stepm,i,i+1,i+1+nagesqr);
                   5418:               break;
                   5419:             }
1.141     brouard  5420:             ij=1;/* To be checked else nbcode[0][0] wrong */
1.187     brouard  5421:             for(j=3; j <=ncovmodel-nagesqr; j++) {
1.197     brouard  5422:               /* printf("Tage[%d]=%d, j=%d\n", ij, Tage[ij], j); */
                   5423:               if(ij <=cptcovage) { /* Bug valgrind */
                   5424:                 if((j-2)==Tage[ij]) { /* Bug valgrind */
1.200     brouard  5425:                   fprintf(ficgp,"+p%d*%d*x",i+j+nagesqr-1,nbcode[Tvar[j-2]][codtabm(jk,j-2)]);
                   5426:                   /* fprintf(ficgp,"+p%d*%d*x",i+j+nagesqr-1,nbcode[Tvar[j-2]][codtabm(jk,Tvar[j-2])]); */
1.197     brouard  5427:                   ij++;
                   5428:                 }
1.186     brouard  5429:               }
                   5430:               else
1.198     brouard  5431:                 fprintf(ficgp,"+p%d*%d",i+j+nagesqr-1,nbcode[Tvar[j-2]][codtabm(jk,j-2)]);
1.126     brouard  5432:             }
1.201     brouard  5433:             if(ng != 1){
                   5434:               fprintf(ficgp,")/(1");
1.126     brouard  5435:             
1.201     brouard  5436:               for(k1=1; k1 <=nlstate; k1++){ 
                   5437:                 if(nagesqr==0)
                   5438:                   fprintf(ficgp,"+exp(p%d+p%d*x",k3+(k1-1)*ncovmodel,k3+(k1-1)*ncovmodel+1);
                   5439:                 else /* nagesqr =1 */
                   5440:                   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);
                   5441:                 
                   5442:                 ij=1;
                   5443:                 for(j=3; j <=ncovmodel-nagesqr; j++){
                   5444:                   if(ij <=cptcovage) { /* Bug valgrind */
                   5445:                     if((j-2)==Tage[ij]) { /* Bug valgrind */
                   5446:                       fprintf(ficgp,"+p%d*%d*x",k3+(k1-1)*ncovmodel+1+j-2+nagesqr,nbcode[Tvar[j-2]][codtabm(jk,j-2)]);
                   5447:                       /* fprintf(ficgp,"+p%d*%d*x",k3+(k1-1)*ncovmodel+1+j-2+nagesqr,nbcode[Tvar[j-2]][codtabm(jk,Tvar[j-2])]); */
                   5448:                       ij++;
                   5449:                     }
1.197     brouard  5450:                   }
1.201     brouard  5451:                   else
                   5452:                     fprintf(ficgp,"+p%d*%d",k3+(k1-1)*ncovmodel+1+j-2+nagesqr,nbcode[Tvar[j-2]][codtabm(jk,j-2)]);
1.186     brouard  5453:                 }
1.201     brouard  5454:                 fprintf(ficgp,")");
1.126     brouard  5455:               }
                   5456:               fprintf(ficgp,")");
1.201     brouard  5457:               if(ng ==2)
                   5458:                 fprintf(ficgp," t \"p%d%d\" ", k2,k);
                   5459:               else /* ng= 3 */
                   5460:                 fprintf(ficgp," t \"i%d%d\" ", k2,k);
                   5461:             }else{ /* end ng <> 1 */
                   5462:               fprintf(ficgp," t \"logit(p%d%d)\" ", k2,k);
1.126     brouard  5463:             }
                   5464:             if ((k+k2)!= (nlstate*2+ndeath)) fprintf(ficgp,",");
                   5465:             i=i+ncovmodel;
                   5466:           }
                   5467:         } /* end k */
                   5468:        } /* end k2 */
1.201     brouard  5469:        fprintf(ficgp,"\n set out\n");
1.126     brouard  5470:      } /* end jk */
                   5471:    } /* end ng */
1.164     brouard  5472:  /* avoid: */
1.126     brouard  5473:    fflush(ficgp); 
                   5474: }  /* end gnuplot */
                   5475: 
                   5476: 
                   5477: /*************** Moving average **************/
                   5478: int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav){
                   5479: 
                   5480:   int i, cpt, cptcod;
                   5481:   int modcovmax =1;
                   5482:   int mobilavrange, mob;
                   5483:   double age;
                   5484: 
                   5485:   modcovmax=2*cptcoveff;/* Max number of modalities. We suppose 
                   5486:                           a covariate has 2 modalities */
                   5487:   if (cptcovn<1) modcovmax=1; /* At least 1 pass */
                   5488: 
                   5489:   if(mobilav==1||mobilav ==3 ||mobilav==5 ||mobilav== 7){
                   5490:     if(mobilav==1) mobilavrange=5; /* default */
                   5491:     else mobilavrange=mobilav;
                   5492:     for (age=bage; age<=fage; age++)
                   5493:       for (i=1; i<=nlstate;i++)
                   5494:        for (cptcod=1;cptcod<=modcovmax;cptcod++)
                   5495:          mobaverage[(int)age][i][cptcod]=probs[(int)age][i][cptcod];
                   5496:     /* We keep the original values on the extreme ages bage, fage and for 
                   5497:        fage+1 and bage-1 we use a 3 terms moving average; for fage+2 bage+2
                   5498:        we use a 5 terms etc. until the borders are no more concerned. 
                   5499:     */ 
                   5500:     for (mob=3;mob <=mobilavrange;mob=mob+2){
                   5501:       for (age=bage+(mob-1)/2; age<=fage-(mob-1)/2; age++){
                   5502:        for (i=1; i<=nlstate;i++){
                   5503:          for (cptcod=1;cptcod<=modcovmax;cptcod++){
                   5504:            mobaverage[(int)age][i][cptcod] =probs[(int)age][i][cptcod];
                   5505:              for (cpt=1;cpt<=(mob-1)/2;cpt++){
                   5506:                mobaverage[(int)age][i][cptcod] +=probs[(int)age-cpt][i][cptcod];
                   5507:                mobaverage[(int)age][i][cptcod] +=probs[(int)age+cpt][i][cptcod];
                   5508:              }
                   5509:            mobaverage[(int)age][i][cptcod]=mobaverage[(int)age][i][cptcod]/mob;
                   5510:          }
                   5511:        }
                   5512:       }/* end age */
                   5513:     }/* end mob */
                   5514:   }else return -1;
                   5515:   return 0;
                   5516: }/* End movingaverage */
                   5517: 
                   5518: 
                   5519: /************** Forecasting ******************/
1.169     brouard  5520: 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  5521:   /* proj1, year, month, day of starting projection 
                   5522:      agemin, agemax range of age
                   5523:      dateprev1 dateprev2 range of dates during which prevalence is computed
                   5524:      anproj2 year of en of projection (same day and month as proj1).
                   5525:   */
1.164     brouard  5526:   int yearp, stepsize, hstepm, nhstepm, j, k, cptcod, i, h, i1;
1.126     brouard  5527:   double agec; /* generic age */
                   5528:   double agelim, ppij, yp,yp1,yp2,jprojmean,mprojmean,anprojmean;
                   5529:   double *popeffectif,*popcount;
                   5530:   double ***p3mat;
                   5531:   double ***mobaverage;
                   5532:   char fileresf[FILENAMELENGTH];
                   5533: 
                   5534:   agelim=AGESUP;
1.211     brouard  5535:   /* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people
                   5536:      in each health status at the date of interview (if between dateprev1 and dateprev2).
                   5537:      We still use firstpass and lastpass as another selection.
                   5538:   */
1.126     brouard  5539:   prevalence(probs, ageminpar, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass);
                   5540:  
1.201     brouard  5541:   strcpy(fileresf,"F_"); 
                   5542:   strcat(fileresf,fileresu);
1.126     brouard  5543:   if((ficresf=fopen(fileresf,"w"))==NULL) {
                   5544:     printf("Problem with forecast resultfile: %s\n", fileresf);
                   5545:     fprintf(ficlog,"Problem with forecast resultfile: %s\n", fileresf);
                   5546:   }
                   5547:   printf("Computing forecasting: result on file '%s' \n", fileresf);
                   5548:   fprintf(ficlog,"Computing forecasting: result on file '%s' \n", fileresf);
                   5549: 
                   5550:   if (cptcoveff==0) ncodemax[cptcoveff]=1;
                   5551: 
                   5552:   if (mobilav!=0) {
                   5553:     mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   5554:     if (movingaverage(probs, ageminpar, fage, mobaverage,mobilav)!=0){
                   5555:       fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
                   5556:       printf(" Error in movingaverage mobilav=%d\n",mobilav);
                   5557:     }
                   5558:   }
                   5559: 
                   5560:   stepsize=(int) (stepm+YEARM-1)/YEARM;
                   5561:   if (stepm<=12) stepsize=1;
                   5562:   if(estepm < stepm){
                   5563:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   5564:   }
                   5565:   else  hstepm=estepm;   
                   5566: 
                   5567:   hstepm=hstepm/stepm; 
                   5568:   yp1=modf(dateintmean,&yp);/* extracts integral of datemean in yp  and
                   5569:                                fractional in yp1 */
                   5570:   anprojmean=yp;
                   5571:   yp2=modf((yp1*12),&yp);
                   5572:   mprojmean=yp;
                   5573:   yp1=modf((yp2*30.5),&yp);
                   5574:   jprojmean=yp;
                   5575:   if(jprojmean==0) jprojmean=1;
                   5576:   if(mprojmean==0) jprojmean=1;
                   5577: 
                   5578:   i1=cptcoveff;
                   5579:   if (cptcovn < 1){i1=1;}
                   5580:   
                   5581:   fprintf(ficresf,"# Mean day of interviews %.lf/%.lf/%.lf (%.2f) between %.2f and %.2f \n",jprojmean,mprojmean,anprojmean,dateintmean,dateprev1,dateprev2); 
                   5582:   
                   5583:   fprintf(ficresf,"#****** Routine prevforecast **\n");
                   5584: 
                   5585: /*           if (h==(int)(YEARM*yearp)){ */
                   5586:   for(cptcov=1, k=0;cptcov<=i1;cptcov++){
                   5587:     for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){
                   5588:       k=k+1;
1.211     brouard  5589:       fprintf(ficresf,"\n#****** hpijx=probability over h years, hp.jx is weighted by observed prev \n#");
1.126     brouard  5590:       for(j=1;j<=cptcoveff;j++) {
1.211     brouard  5591:        fprintf(ficresf," V%d (=) %d",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.126     brouard  5592:       }
1.211     brouard  5593:       fprintf(ficresf," yearproj age");
1.126     brouard  5594:       for(j=1; j<=nlstate+ndeath;j++){ 
                   5595:        for(i=1; i<=nlstate;i++)              
                   5596:           fprintf(ficresf," p%d%d",i,j);
                   5597:        fprintf(ficresf," p.%d",j);
                   5598:       }
                   5599:       for (yearp=0; yearp<=(anproj2-anproj1);yearp +=stepsize) { 
                   5600:        fprintf(ficresf,"\n");
                   5601:        fprintf(ficresf,"\n# Forecasting at date %.lf/%.lf/%.lf ",jproj1,mproj1,anproj1+yearp);   
                   5602: 
                   5603:        for (agec=fage; agec>=(ageminpar-1); agec--){ 
                   5604:          nhstepm=(int) rint((agelim-agec)*YEARM/stepm); 
                   5605:          nhstepm = nhstepm/hstepm; 
                   5606:          p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5607:          oldm=oldms;savm=savms;
                   5608:          hpxij(p3mat,nhstepm,agec,hstepm,p,nlstate,stepm,oldm,savm, k);  
                   5609:        
                   5610:          for (h=0; h<=nhstepm; h++){
                   5611:            if (h*hstepm/YEARM*stepm ==yearp) {
                   5612:               fprintf(ficresf,"\n");
                   5613:               for(j=1;j<=cptcoveff;j++) 
1.198     brouard  5614:                 fprintf(ficresf,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.126     brouard  5615:              fprintf(ficresf,"%.f %.f ",anproj1+yearp,agec+h*hstepm/YEARM*stepm);
                   5616:            } 
                   5617:            for(j=1; j<=nlstate+ndeath;j++) {
                   5618:              ppij=0.;
                   5619:              for(i=1; i<=nlstate;i++) {
                   5620:                if (mobilav==1) 
                   5621:                  ppij=ppij+p3mat[i][j][h]*mobaverage[(int)agec][i][cptcod];
                   5622:                else {
                   5623:                  ppij=ppij+p3mat[i][j][h]*probs[(int)(agec)][i][cptcod];
                   5624:                }
                   5625:                if (h*hstepm/YEARM*stepm== yearp) {
                   5626:                  fprintf(ficresf," %.3f", p3mat[i][j][h]);
                   5627:                }
                   5628:              } /* end i */
                   5629:              if (h*hstepm/YEARM*stepm==yearp) {
                   5630:                fprintf(ficresf," %.3f", ppij);
                   5631:              }
                   5632:            }/* end j */
                   5633:          } /* end h */
                   5634:          free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5635:        } /* end agec */
                   5636:       } /* end yearp */
                   5637:     } /* end cptcod */
                   5638:   } /* end  cptcov */
                   5639:        
                   5640:   if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   5641: 
                   5642:   fclose(ficresf);
                   5643: }
                   5644: 
                   5645: /************** Forecasting *****not tested NB*************/
1.169     brouard  5646: 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  5647:   
                   5648:   int cpt, stepsize, hstepm, nhstepm, j,k,c, cptcod, i,h;
                   5649:   int *popage;
                   5650:   double calagedatem, agelim, kk1, kk2;
                   5651:   double *popeffectif,*popcount;
                   5652:   double ***p3mat,***tabpop,***tabpopprev;
                   5653:   double ***mobaverage;
                   5654:   char filerespop[FILENAMELENGTH];
                   5655: 
                   5656:   tabpop= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   5657:   tabpopprev= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   5658:   agelim=AGESUP;
                   5659:   calagedatem=(anpyram+mpyram/12.+jpyram/365.-dateintmean)*YEARM;
                   5660:   
                   5661:   prevalence(probs, ageminpar, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass);
                   5662:   
                   5663:   
1.201     brouard  5664:   strcpy(filerespop,"POP_"); 
                   5665:   strcat(filerespop,fileresu);
1.126     brouard  5666:   if((ficrespop=fopen(filerespop,"w"))==NULL) {
                   5667:     printf("Problem with forecast resultfile: %s\n", filerespop);
                   5668:     fprintf(ficlog,"Problem with forecast resultfile: %s\n", filerespop);
                   5669:   }
                   5670:   printf("Computing forecasting: result on file '%s' \n", filerespop);
                   5671:   fprintf(ficlog,"Computing forecasting: result on file '%s' \n", filerespop);
                   5672: 
                   5673:   if (cptcoveff==0) ncodemax[cptcoveff]=1;
                   5674: 
                   5675:   if (mobilav!=0) {
                   5676:     mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   5677:     if (movingaverage(probs, ageminpar, fage, mobaverage,mobilav)!=0){
                   5678:       fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
                   5679:       printf(" Error in movingaverage mobilav=%d\n",mobilav);
                   5680:     }
                   5681:   }
                   5682: 
                   5683:   stepsize=(int) (stepm+YEARM-1)/YEARM;
                   5684:   if (stepm<=12) stepsize=1;
                   5685:   
                   5686:   agelim=AGESUP;
                   5687:   
                   5688:   hstepm=1;
                   5689:   hstepm=hstepm/stepm; 
                   5690:   
                   5691:   if (popforecast==1) {
                   5692:     if((ficpop=fopen(popfile,"r"))==NULL) {
                   5693:       printf("Problem with population file : %s\n",popfile);exit(0);
                   5694:       fprintf(ficlog,"Problem with population file : %s\n",popfile);exit(0);
                   5695:     } 
                   5696:     popage=ivector(0,AGESUP);
                   5697:     popeffectif=vector(0,AGESUP);
                   5698:     popcount=vector(0,AGESUP);
                   5699:     
                   5700:     i=1;   
                   5701:     while ((c=fscanf(ficpop,"%d %lf\n",&popage[i],&popcount[i])) != EOF) i=i+1;
                   5702:    
                   5703:     imx=i;
                   5704:     for (i=1; i<imx;i++) popeffectif[popage[i]]=popcount[i];
                   5705:   }
                   5706: 
                   5707:   for(cptcov=1,k=0;cptcov<=i2;cptcov++){
                   5708:    for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){
                   5709:       k=k+1;
                   5710:       fprintf(ficrespop,"\n#******");
                   5711:       for(j=1;j<=cptcoveff;j++) {
1.198     brouard  5712:        fprintf(ficrespop," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.126     brouard  5713:       }
                   5714:       fprintf(ficrespop,"******\n");
                   5715:       fprintf(ficrespop,"# Age");
                   5716:       for(j=1; j<=nlstate+ndeath;j++) fprintf(ficrespop," P.%d",j);
                   5717:       if (popforecast==1)  fprintf(ficrespop," [Population]");
                   5718:       
                   5719:       for (cpt=0; cpt<=0;cpt++) { 
                   5720:        fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);   
                   5721:        
                   5722:        for (agedeb=(fage-((int)calagedatem %12/12.)); agedeb>=(ageminpar-((int)calagedatem %12)/12.); agedeb--){ 
                   5723:          nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); 
                   5724:          nhstepm = nhstepm/hstepm; 
                   5725:          
                   5726:          p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5727:          oldm=oldms;savm=savms;
                   5728:          hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);  
                   5729:        
                   5730:          for (h=0; h<=nhstepm; h++){
                   5731:            if (h==(int) (calagedatem+YEARM*cpt)) {
                   5732:              fprintf(ficrespop,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm);
                   5733:            } 
                   5734:            for(j=1; j<=nlstate+ndeath;j++) {
                   5735:              kk1=0.;kk2=0;
                   5736:              for(i=1; i<=nlstate;i++) {              
                   5737:                if (mobilav==1) 
                   5738:                  kk1=kk1+p3mat[i][j][h]*mobaverage[(int)agedeb+1][i][cptcod];
                   5739:                else {
                   5740:                  kk1=kk1+p3mat[i][j][h]*probs[(int)(agedeb+1)][i][cptcod];
                   5741:                }
                   5742:              }
                   5743:              if (h==(int)(calagedatem+12*cpt)){
                   5744:                tabpop[(int)(agedeb)][j][cptcod]=kk1;
                   5745:                  /*fprintf(ficrespop," %.3f", kk1);
                   5746:                    if (popforecast==1) fprintf(ficrespop," [%.f]", kk1*popeffectif[(int)agedeb+1]);*/
                   5747:              }
                   5748:            }
                   5749:            for(i=1; i<=nlstate;i++){
                   5750:              kk1=0.;
                   5751:                for(j=1; j<=nlstate;j++){
                   5752:                  kk1= kk1+tabpop[(int)(agedeb)][j][cptcod]; 
                   5753:                }
                   5754:                  tabpopprev[(int)(agedeb)][i][cptcod]=tabpop[(int)(agedeb)][i][cptcod]/kk1*popeffectif[(int)(agedeb+(calagedatem+12*cpt)*hstepm/YEARM*stepm-1)];
                   5755:            }
                   5756: 
                   5757:            if (h==(int)(calagedatem+12*cpt)) for(j=1; j<=nlstate;j++) 
                   5758:              fprintf(ficrespop," %15.2f",tabpopprev[(int)(agedeb+1)][j][cptcod]);
                   5759:          }
                   5760:          free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5761:        }
                   5762:       }
                   5763:  
                   5764:   /******/
                   5765: 
                   5766:       for (cpt=1; cpt<=(anpyram1-anpyram);cpt++) { 
                   5767:        fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);   
                   5768:        for (agedeb=(fage-((int)calagedatem %12/12.)); agedeb>=(ageminpar-((int)calagedatem %12)/12.); agedeb--){ 
                   5769:          nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); 
                   5770:          nhstepm = nhstepm/hstepm; 
                   5771:          
                   5772:          p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5773:          oldm=oldms;savm=savms;
                   5774:          hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);  
                   5775:          for (h=0; h<=nhstepm; h++){
                   5776:            if (h==(int) (calagedatem+YEARM*cpt)) {
                   5777:              fprintf(ficresf,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm);
                   5778:            } 
                   5779:            for(j=1; j<=nlstate+ndeath;j++) {
                   5780:              kk1=0.;kk2=0;
                   5781:              for(i=1; i<=nlstate;i++) {              
                   5782:                kk1=kk1+p3mat[i][j][h]*tabpopprev[(int)agedeb+1][i][cptcod];    
                   5783:              }
                   5784:              if (h==(int)(calagedatem+12*cpt)) fprintf(ficresf," %15.2f", kk1);        
                   5785:            }
                   5786:          }
                   5787:          free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5788:        }
                   5789:       }
                   5790:    } 
                   5791:   }
                   5792:  
                   5793:   if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   5794: 
                   5795:   if (popforecast==1) {
                   5796:     free_ivector(popage,0,AGESUP);
                   5797:     free_vector(popeffectif,0,AGESUP);
                   5798:     free_vector(popcount,0,AGESUP);
                   5799:   }
                   5800:   free_ma3x(tabpop,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   5801:   free_ma3x(tabpopprev,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   5802:   fclose(ficrespop);
                   5803: } /* End of popforecast */
                   5804: 
                   5805: int fileappend(FILE *fichier, char *optionfich)
                   5806: {
                   5807:   if((fichier=fopen(optionfich,"a"))==NULL) {
                   5808:     printf("Problem with file: %s\n", optionfich);
                   5809:     fprintf(ficlog,"Problem with file: %s\n", optionfich);
                   5810:     return (0);
                   5811:   }
                   5812:   fflush(fichier);
                   5813:   return (1);
                   5814: }
                   5815: 
                   5816: 
                   5817: /**************** function prwizard **********************/
                   5818: void prwizard(int ncovmodel, int nlstate, int ndeath,  char model[], FILE *ficparo)
                   5819: {
                   5820: 
                   5821:   /* Wizard to print covariance matrix template */
                   5822: 
1.164     brouard  5823:   char ca[32], cb[32];
                   5824:   int i,j, k, li, lj, lk, ll, jj, npar, itimes;
1.126     brouard  5825:   int numlinepar;
                   5826: 
                   5827:   printf("# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   5828:   fprintf(ficparo,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   5829:   for(i=1; i <=nlstate; i++){
                   5830:     jj=0;
                   5831:     for(j=1; j <=nlstate+ndeath; j++){
                   5832:       if(j==i) continue;
                   5833:       jj++;
                   5834:       /*ca[0]= k+'a'-1;ca[1]='\0';*/
                   5835:       printf("%1d%1d",i,j);
                   5836:       fprintf(ficparo,"%1d%1d",i,j);
                   5837:       for(k=1; k<=ncovmodel;k++){
                   5838:        /*        printf(" %lf",param[i][j][k]); */
                   5839:        /*        fprintf(ficparo," %lf",param[i][j][k]); */
                   5840:        printf(" 0.");
                   5841:        fprintf(ficparo," 0.");
                   5842:       }
                   5843:       printf("\n");
                   5844:       fprintf(ficparo,"\n");
                   5845:     }
                   5846:   }
                   5847:   printf("# Scales (for hessian or gradient estimation)\n");
                   5848:   fprintf(ficparo,"# Scales (for hessian or gradient estimation)\n");
                   5849:   npar= (nlstate+ndeath-1)*nlstate*ncovmodel; /* Number of parameters*/ 
                   5850:   for(i=1; i <=nlstate; i++){
                   5851:     jj=0;
                   5852:     for(j=1; j <=nlstate+ndeath; j++){
                   5853:       if(j==i) continue;
                   5854:       jj++;
                   5855:       fprintf(ficparo,"%1d%1d",i,j);
                   5856:       printf("%1d%1d",i,j);
                   5857:       fflush(stdout);
                   5858:       for(k=1; k<=ncovmodel;k++){
                   5859:        /*      printf(" %le",delti3[i][j][k]); */
                   5860:        /*      fprintf(ficparo," %le",delti3[i][j][k]); */
                   5861:        printf(" 0.");
                   5862:        fprintf(ficparo," 0.");
                   5863:       }
                   5864:       numlinepar++;
                   5865:       printf("\n");
                   5866:       fprintf(ficparo,"\n");
                   5867:     }
                   5868:   }
                   5869:   printf("# Covariance matrix\n");
                   5870: /* # 121 Var(a12)\n\ */
                   5871: /* # 122 Cov(b12,a12) Var(b12)\n\ */
                   5872: /* # 131 Cov(a13,a12) Cov(a13,b12, Var(a13)\n\ */
                   5873: /* # 132 Cov(b13,a12) Cov(b13,b12, Cov(b13,a13) Var(b13)\n\ */
                   5874: /* # 212 Cov(a21,a12) Cov(a21,b12, Cov(a21,a13) Cov(a21,b13) Var(a21)\n\ */
                   5875: /* # 212 Cov(b21,a12) Cov(b21,b12, Cov(b21,a13) Cov(b21,b13) Cov(b21,a21) Var(b21)\n\ */
                   5876: /* # 232 Cov(a23,a12) Cov(a23,b12, Cov(a23,a13) Cov(a23,b13) Cov(a23,a21) Cov(a23,b21) Var(a23)\n\ */
                   5877: /* # 232 Cov(b23,a12) Cov(b23,b12) ... Var (b23)\n" */
                   5878:   fflush(stdout);
                   5879:   fprintf(ficparo,"# Covariance matrix\n");
                   5880:   /* # 121 Var(a12)\n\ */
                   5881:   /* # 122 Cov(b12,a12) Var(b12)\n\ */
                   5882:   /* #   ...\n\ */
                   5883:   /* # 232 Cov(b23,a12)  Cov(b23,b12) ... Var (b23)\n" */
                   5884:   
                   5885:   for(itimes=1;itimes<=2;itimes++){
                   5886:     jj=0;
                   5887:     for(i=1; i <=nlstate; i++){
                   5888:       for(j=1; j <=nlstate+ndeath; j++){
                   5889:        if(j==i) continue;
                   5890:        for(k=1; k<=ncovmodel;k++){
                   5891:          jj++;
                   5892:          ca[0]= k+'a'-1;ca[1]='\0';
                   5893:          if(itimes==1){
                   5894:            printf("#%1d%1d%d",i,j,k);
                   5895:            fprintf(ficparo,"#%1d%1d%d",i,j,k);
                   5896:          }else{
                   5897:            printf("%1d%1d%d",i,j,k);
                   5898:            fprintf(ficparo,"%1d%1d%d",i,j,k);
                   5899:            /*  printf(" %.5le",matcov[i][j]); */
                   5900:          }
                   5901:          ll=0;
                   5902:          for(li=1;li <=nlstate; li++){
                   5903:            for(lj=1;lj <=nlstate+ndeath; lj++){
                   5904:              if(lj==li) continue;
                   5905:              for(lk=1;lk<=ncovmodel;lk++){
                   5906:                ll++;
                   5907:                if(ll<=jj){
                   5908:                  cb[0]= lk +'a'-1;cb[1]='\0';
                   5909:                  if(ll<jj){
                   5910:                    if(itimes==1){
                   5911:                      printf(" Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   5912:                      fprintf(ficparo," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   5913:                    }else{
                   5914:                      printf(" 0.");
                   5915:                      fprintf(ficparo," 0.");
                   5916:                    }
                   5917:                  }else{
                   5918:                    if(itimes==1){
                   5919:                      printf(" Var(%s%1d%1d)",ca,i,j);
                   5920:                      fprintf(ficparo," Var(%s%1d%1d)",ca,i,j);
                   5921:                    }else{
                   5922:                      printf(" 0.");
                   5923:                      fprintf(ficparo," 0.");
                   5924:                    }
                   5925:                  }
                   5926:                }
                   5927:              } /* end lk */
                   5928:            } /* end lj */
                   5929:          } /* end li */
                   5930:          printf("\n");
                   5931:          fprintf(ficparo,"\n");
                   5932:          numlinepar++;
                   5933:        } /* end k*/
                   5934:       } /*end j */
                   5935:     } /* end i */
                   5936:   } /* end itimes */
                   5937: 
                   5938: } /* end of prwizard */
                   5939: /******************* Gompertz Likelihood ******************************/
                   5940: double gompertz(double x[])
                   5941: { 
                   5942:   double A,B,L=0.0,sump=0.,num=0.;
                   5943:   int i,n=0; /* n is the size of the sample */
                   5944: 
                   5945:   for (i=0;i<=imx-1 ; i++) {
                   5946:     sump=sump+weight[i];
                   5947:     /*    sump=sump+1;*/
                   5948:     num=num+1;
                   5949:   }
                   5950:  
                   5951:  
                   5952:   /* for (i=0; i<=imx; i++) 
                   5953:      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]);*/
                   5954: 
                   5955:   for (i=1;i<=imx ; i++)
                   5956:     {
                   5957:       if (cens[i] == 1 && wav[i]>1)
                   5958:        A=-x[1]/(x[2])*(exp(x[2]*(agecens[i]-agegomp))-exp(x[2]*(ageexmed[i]-agegomp)));
                   5959:       
                   5960:       if (cens[i] == 0 && wav[i]>1)
                   5961:        A=-x[1]/(x[2])*(exp(x[2]*(agedc[i]-agegomp))-exp(x[2]*(ageexmed[i]-agegomp)))
                   5962:             +log(x[1]/YEARM)+x[2]*(agedc[i]-agegomp)+log(YEARM);  
                   5963:       
                   5964:       /*if (wav[i] > 1 && agecens[i] > 15) {*/ /* ??? */
                   5965:       if (wav[i] > 1 ) { /* ??? */
                   5966:        L=L+A*weight[i];
                   5967:        /*      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]);*/
                   5968:       }
                   5969:     }
                   5970: 
                   5971:  /*printf("x1=%2.9f x2=%2.9f x3=%2.9f L=%f\n",x[1],x[2],x[3],L);*/
                   5972:  
                   5973:   return -2*L*num/sump;
                   5974: }
                   5975: 
1.136     brouard  5976: #ifdef GSL
                   5977: /******************* Gompertz_f Likelihood ******************************/
                   5978: double gompertz_f(const gsl_vector *v, void *params)
                   5979: { 
                   5980:   double A,B,LL=0.0,sump=0.,num=0.;
                   5981:   double *x= (double *) v->data;
                   5982:   int i,n=0; /* n is the size of the sample */
                   5983: 
                   5984:   for (i=0;i<=imx-1 ; i++) {
                   5985:     sump=sump+weight[i];
                   5986:     /*    sump=sump+1;*/
                   5987:     num=num+1;
                   5988:   }
                   5989:  
                   5990:  
                   5991:   /* for (i=0; i<=imx; i++) 
                   5992:      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]);*/
                   5993:   printf("x[0]=%lf x[1]=%lf\n",x[0],x[1]);
                   5994:   for (i=1;i<=imx ; i++)
                   5995:     {
                   5996:       if (cens[i] == 1 && wav[i]>1)
                   5997:        A=-x[0]/(x[1])*(exp(x[1]*(agecens[i]-agegomp))-exp(x[1]*(ageexmed[i]-agegomp)));
                   5998:       
                   5999:       if (cens[i] == 0 && wav[i]>1)
                   6000:        A=-x[0]/(x[1])*(exp(x[1]*(agedc[i]-agegomp))-exp(x[1]*(ageexmed[i]-agegomp)))
                   6001:             +log(x[0]/YEARM)+x[1]*(agedc[i]-agegomp)+log(YEARM);  
                   6002:       
                   6003:       /*if (wav[i] > 1 && agecens[i] > 15) {*/ /* ??? */
                   6004:       if (wav[i] > 1 ) { /* ??? */
                   6005:        LL=LL+A*weight[i];
                   6006:        /*      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]);*/
                   6007:       }
                   6008:     }
                   6009: 
                   6010:  /*printf("x1=%2.9f x2=%2.9f x3=%2.9f L=%f\n",x[1],x[2],x[3],L);*/
                   6011:   printf("x[0]=%lf x[1]=%lf -2*LL*num/sump=%lf\n",x[0],x[1],-2*LL*num/sump);
                   6012:  
                   6013:   return -2*LL*num/sump;
                   6014: }
                   6015: #endif
                   6016: 
1.126     brouard  6017: /******************* Printing html file ***********/
1.201     brouard  6018: void printinghtmlmort(char fileresu[], char title[], char datafile[], int firstpass, \
1.126     brouard  6019:                  int lastpass, int stepm, int weightopt, char model[],\
                   6020:                  int imx,  double p[],double **matcov,double agemortsup){
                   6021:   int i,k;
                   6022: 
                   6023:   fprintf(fichtm,"<ul><li><h4>Result files </h4>\n Force of mortality. Parameters of the Gompertz fit (with confidence interval in brackets):<br>");
                   6024:   fprintf(fichtm,"  mu(age) =%lf*exp(%lf*(age-%d)) per year<br><br>",p[1],p[2],agegomp);
                   6025:   for (i=1;i<=2;i++) 
                   6026:     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  6027:   fprintf(fichtm,"<br><br><img src=\"graphmort.svg\">");
1.126     brouard  6028:   fprintf(fichtm,"</ul>");
                   6029: 
                   6030: fprintf(fichtm,"<ul><li><h4>Life table</h4>\n <br>");
                   6031: 
                   6032:  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>");
                   6033: 
                   6034:  for (k=agegomp;k<(agemortsup-2);k++) 
                   6035:    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]);
                   6036: 
                   6037:  
                   6038:   fflush(fichtm);
                   6039: }
                   6040: 
                   6041: /******************* Gnuplot file **************/
1.201     brouard  6042: void printinggnuplotmort(char fileresu[], char optionfilefiname[], double ageminpar, double agemaxpar, double fage , char pathc[], double p[]){
1.126     brouard  6043: 
                   6044:   char dirfileres[132],optfileres[132];
1.164     brouard  6045: 
1.126     brouard  6046:   int ng;
                   6047: 
                   6048: 
                   6049:   /*#ifdef windows */
                   6050:   fprintf(ficgp,"cd \"%s\" \n",pathc);
                   6051:     /*#endif */
                   6052: 
                   6053: 
                   6054:   strcpy(dirfileres,optionfilefiname);
                   6055:   strcpy(optfileres,"vpl");
1.199     brouard  6056:   fprintf(ficgp,"set out \"graphmort.svg\"\n "); 
1.126     brouard  6057:   fprintf(ficgp,"set xlabel \"Age\"\n set ylabel \"Force of mortality (per year)\" \n "); 
1.199     brouard  6058:   fprintf(ficgp, "set ter svg size 640, 480\n set log y\n"); 
1.145     brouard  6059:   /* fprintf(ficgp, "set size 0.65,0.65\n"); */
1.126     brouard  6060:   fprintf(ficgp,"plot [%d:100] %lf*exp(%lf*(x-%d))",agegomp,p[1],p[2],agegomp);
                   6061: 
                   6062: } 
                   6063: 
1.136     brouard  6064: int readdata(char datafile[], int firstobs, int lastobs, int *imax)
                   6065: {
1.126     brouard  6066: 
1.136     brouard  6067:   /*-------- data file ----------*/
                   6068:   FILE *fic;
                   6069:   char dummy[]="                         ";
1.164     brouard  6070:   int i=0, j=0, n=0;
1.136     brouard  6071:   int linei, month, year,iout;
                   6072:   char line[MAXLINE], linetmp[MAXLINE];
1.164     brouard  6073:   char stra[MAXLINE], strb[MAXLINE];
1.136     brouard  6074:   char *stratrunc;
                   6075:   int lstra;
1.126     brouard  6076: 
                   6077: 
1.136     brouard  6078:   if((fic=fopen(datafile,"r"))==NULL)    {
1.195     brouard  6079:     printf("Problem while opening datafile: %s\n", datafile);fflush(stdout);
                   6080:     fprintf(ficlog,"Problem while opening datafile: %s\n", datafile);fflush(ficlog);return 1;
1.136     brouard  6081:   }
1.126     brouard  6082: 
1.136     brouard  6083:   i=1;
                   6084:   linei=0;
                   6085:   while ((fgets(line, MAXLINE, fic) != NULL) &&((i >= firstobs) && (i <=lastobs))) {
                   6086:     linei=linei+1;
                   6087:     for(j=strlen(line); j>=0;j--){  /* Untabifies line */
                   6088:       if(line[j] == '\t')
                   6089:        line[j] = ' ';
                   6090:     }
                   6091:     for(j=strlen(line)-1; (line[j]==' ')||(line[j]==10)||(line[j]==13);j--){
                   6092:       ;
                   6093:     };
                   6094:     line[j+1]=0;  /* Trims blanks at end of line */
                   6095:     if(line[0]=='#'){
                   6096:       fprintf(ficlog,"Comment line\n%s\n",line);
                   6097:       printf("Comment line\n%s\n",line);
                   6098:       continue;
                   6099:     }
                   6100:     trimbb(linetmp,line); /* Trims multiple blanks in line */
1.164     brouard  6101:     strcpy(line, linetmp);
1.136     brouard  6102:   
1.126     brouard  6103: 
1.136     brouard  6104:     for (j=maxwav;j>=1;j--){
1.137     brouard  6105:       cutv(stra, strb, line, ' '); 
1.136     brouard  6106:       if(strb[0]=='.') { /* Missing status */
                   6107:        lval=-1;
                   6108:       }else{
                   6109:        errno=0;
                   6110:        lval=strtol(strb,&endptr,10); 
                   6111:       /*       if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN))*/
                   6112:        if( strb[0]=='\0' || (*endptr != '\0')){
1.141     brouard  6113:          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);
                   6114:          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  6115:          return 1;
                   6116:        }
                   6117:       }
                   6118:       s[j][i]=lval;
                   6119:       
                   6120:       strcpy(line,stra);
                   6121:       cutv(stra, strb,line,' ');
1.169     brouard  6122:       if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
1.136     brouard  6123:       }
1.169     brouard  6124:       else  if( (iout=sscanf(strb,"%s.",dummy)) != 0){
1.136     brouard  6125:        month=99;
                   6126:        year=9999;
                   6127:       }else{
1.141     brouard  6128:        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);
                   6129:        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  6130:        return 1;
                   6131:       }
                   6132:       anint[j][i]= (double) year; 
                   6133:       mint[j][i]= (double)month; 
                   6134:       strcpy(line,stra);
                   6135:     } /* ENd Waves */
                   6136:     
                   6137:     cutv(stra, strb,line,' '); 
1.169     brouard  6138:     if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
1.136     brouard  6139:     }
1.169     brouard  6140:     else  if( (iout=sscanf(strb,"%s.",dummy)) != 0){
1.136     brouard  6141:       month=99;
                   6142:       year=9999;
                   6143:     }else{
1.141     brouard  6144:       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);
                   6145:        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  6146:        return 1;
                   6147:     }
                   6148:     andc[i]=(double) year; 
                   6149:     moisdc[i]=(double) month; 
                   6150:     strcpy(line,stra);
                   6151:     
                   6152:     cutv(stra, strb,line,' '); 
1.169     brouard  6153:     if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
1.136     brouard  6154:     }
1.169     brouard  6155:     else  if( (iout=sscanf(strb,"%s.", dummy)) != 0){
1.136     brouard  6156:       month=99;
                   6157:       year=9999;
                   6158:     }else{
1.141     brouard  6159:       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);
                   6160:       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  6161:        return 1;
                   6162:     }
                   6163:     if (year==9999) {
1.141     brouard  6164:       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);
                   6165:       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  6166:        return 1;
1.126     brouard  6167: 
1.136     brouard  6168:     }
                   6169:     annais[i]=(double)(year);
                   6170:     moisnais[i]=(double)(month); 
                   6171:     strcpy(line,stra);
                   6172:     
                   6173:     cutv(stra, strb,line,' '); 
                   6174:     errno=0;
                   6175:     dval=strtod(strb,&endptr); 
                   6176:     if( strb[0]=='\0' || (*endptr != '\0')){
1.141     brouard  6177:       printf("Error reading data around '%f' at line number %d, \"%s\" for individual %d\nShould be a weight.  Exiting.\n",dval, i,line,linei);
                   6178:       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  6179:       fflush(ficlog);
                   6180:       return 1;
                   6181:     }
                   6182:     weight[i]=dval; 
                   6183:     strcpy(line,stra);
                   6184:     
                   6185:     for (j=ncovcol;j>=1;j--){
                   6186:       cutv(stra, strb,line,' '); 
                   6187:       if(strb[0]=='.') { /* Missing status */
                   6188:        lval=-1;
                   6189:       }else{
                   6190:        errno=0;
                   6191:        lval=strtol(strb,&endptr,10); 
                   6192:        if( strb[0]=='\0' || (*endptr != '\0')){
1.141     brouard  6193:          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);
                   6194:          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  6195:          return 1;
                   6196:        }
                   6197:       }
                   6198:       if(lval <-1 || lval >1){
1.141     brouard  6199:        printf("Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
1.136     brouard  6200:  Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
                   6201:  for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
                   6202:  For example, for multinomial values like 1, 2 and 3,\n \
                   6203:  build V1=0 V2=0 for the reference value (1),\n \
                   6204:         V1=1 V2=0 for (2) \n \
                   6205:  and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
                   6206:  output of IMaCh is often meaningless.\n \
                   6207:  Exiting.\n",lval,linei, i,line,j);
1.141     brouard  6208:        fprintf(ficlog,"Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
1.136     brouard  6209:  Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
                   6210:  for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
                   6211:  For example, for multinomial values like 1, 2 and 3,\n \
                   6212:  build V1=0 V2=0 for the reference value (1),\n \
                   6213:         V1=1 V2=0 for (2) \n \
                   6214:  and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
                   6215:  output of IMaCh is often meaningless.\n \
                   6216:  Exiting.\n",lval,linei, i,line,j);fflush(ficlog);
                   6217:        return 1;
                   6218:       }
                   6219:       covar[j][i]=(double)(lval);
                   6220:       strcpy(line,stra);
                   6221:     }  
                   6222:     lstra=strlen(stra);
                   6223:      
                   6224:     if(lstra > 9){ /* More than 2**32 or max of what printf can write with %ld */
                   6225:       stratrunc = &(stra[lstra-9]);
                   6226:       num[i]=atol(stratrunc);
                   6227:     }
                   6228:     else
                   6229:       num[i]=atol(stra);
                   6230:     /*if((s[2][i]==2) && (s[3][i]==-1)&&(s[4][i]==9)){
                   6231:       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;}*/
                   6232:     
                   6233:     i=i+1;
                   6234:   } /* End loop reading  data */
1.126     brouard  6235: 
1.136     brouard  6236:   *imax=i-1; /* Number of individuals */
                   6237:   fclose(fic);
                   6238:  
                   6239:   return (0);
1.164     brouard  6240:   /* endread: */
1.136     brouard  6241:     printf("Exiting readdata: ");
                   6242:     fclose(fic);
                   6243:     return (1);
1.126     brouard  6244: 
                   6245: 
                   6246: 
1.136     brouard  6247: }
1.145     brouard  6248: void removespace(char *str) {
                   6249:   char *p1 = str, *p2 = str;
                   6250:   do
                   6251:     while (*p2 == ' ')
                   6252:       p2++;
1.169     brouard  6253:   while (*p1++ == *p2++);
1.145     brouard  6254: }
                   6255: 
                   6256: int decodemodel ( char model[], int lastobs) /**< This routine decode the model and returns:
1.187     brouard  6257:    * Model  V1+V2+V3+V8+V7*V8+V5*V6+V8*age+V3*age+age*age
                   6258:    * - nagesqr = 1 if age*age in the model, otherwise 0.
                   6259:    * - cptcovt total number of covariates of the model nbocc(+)+1 = 8 excepting constant and age and age*age
                   6260:    * - cptcovn or number of covariates k of the models excluding age*products =6 and age*age
1.145     brouard  6261:    * - cptcovage number of covariates with age*products =2
                   6262:    * - cptcovs number of simple covariates
                   6263:    * - 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
                   6264:    *     which is a new column after the 9 (ncovcol) variables. 
                   6265:    * - if k is a product Vn*Vm covar[k][i] is filled with correct values for each individual
                   6266:    * - Tprod[l] gives the kth covariates of the product Vn*Vm l=1 to cptcovprod-cptcovage
                   6267:    *    Tprod[1]@2 {5, 6}: position of first product V7*V8 is 5, and second V5*V6 is 6.
                   6268:    * - Tvard[k]  p Tvard[1][1]@4 {7, 8, 5, 6} for V7*V8 and V5*V6 .
                   6269:  */
1.136     brouard  6270: {
1.145     brouard  6271:   int i, j, k, ks;
1.164     brouard  6272:   int  j1, k1, k2;
1.136     brouard  6273:   char modelsav[80];
1.145     brouard  6274:   char stra[80], strb[80], strc[80], strd[80],stre[80];
1.187     brouard  6275:   char *strpt;
1.136     brouard  6276: 
1.145     brouard  6277:   /*removespace(model);*/
1.136     brouard  6278:   if (strlen(model) >1){ /* If there is at least 1 covariate */
1.145     brouard  6279:     j=0, j1=0, k1=0, k2=-1, ks=0, cptcovn=0;
1.137     brouard  6280:     if (strstr(model,"AGE") !=0){
1.192     brouard  6281:       printf("Error. AGE must be in lower case 'age' model=1+age+%s. ",model);
                   6282:       fprintf(ficlog,"Error. AGE must be in lower case model=1+age+%s. ",model);fflush(ficlog);
1.136     brouard  6283:       return 1;
                   6284:     }
1.141     brouard  6285:     if (strstr(model,"v") !=0){
                   6286:       printf("Error. 'v' must be in upper case 'V' model=%s ",model);
                   6287:       fprintf(ficlog,"Error. 'v' must be in upper case model=%s ",model);fflush(ficlog);
                   6288:       return 1;
                   6289:     }
1.187     brouard  6290:     strcpy(modelsav,model); 
                   6291:     if ((strpt=strstr(model,"age*age")) !=0){
                   6292:       printf(" strpt=%s, model=%s\n",strpt, model);
                   6293:       if(strpt != model){
                   6294:       printf("Error in model: 'model=%s'; 'age*age' should in first place before other covariates\n \
1.192     brouard  6295:  'model=1+age+age*age+V1.' or 'model=1+age+age*age+V1+V1*age.', please swap as well as \n \
1.187     brouard  6296:  corresponding column of parameters.\n",model);
                   6297:       fprintf(ficlog,"Error in model: 'model=%s'; 'age*age' should in first place before other covariates\n \
1.192     brouard  6298:  'model=1+age+age*age+V1.' or 'model=1+age+age*age+V1+V1*age.', please swap as well as \n \
1.187     brouard  6299:  corresponding column of parameters.\n",model); fflush(ficlog);
                   6300:       return 1;
                   6301:     }
                   6302: 
                   6303:       nagesqr=1;
                   6304:       if (strstr(model,"+age*age") !=0)
                   6305:        substrchaine(modelsav, model, "+age*age");
                   6306:       else if (strstr(model,"age*age+") !=0)
                   6307:        substrchaine(modelsav, model, "age*age+");
                   6308:       else 
                   6309:        substrchaine(modelsav, model, "age*age");
                   6310:     }else
                   6311:       nagesqr=0;
                   6312:     if (strlen(modelsav) >1){
                   6313:       j=nbocc(modelsav,'+'); /**< j=Number of '+' */
                   6314:       j1=nbocc(modelsav,'*'); /**< j1=Number of '*' */
                   6315:       cptcovs=j+1-j1; /**<  Number of simple covariates V1+V1*age+V3 +V3*V4+age*age=> V1 + V3 =2  */
                   6316:       cptcovt= j+1; /* Number of total covariates in the model, not including
                   6317:                   * cst, age and age*age 
                   6318:                   * V1+V1*age+ V3 + V3*V4+age*age=> 4*/
                   6319:                   /* including age products which are counted in cptcovage.
                   6320:                  * but the covariates which are products must be treated 
                   6321:                  * separately: ncovn=4- 2=2 (V1+V3). */
                   6322:       cptcovprod=j1; /**< Number of products  V1*V2 +v3*age = 2 */
                   6323:       cptcovprodnoage=0; /**< Number of covariate products without age: V3*V4 =1  */
                   6324: 
                   6325:     
                   6326:       /*   Design
                   6327:        *  V1   V2   V3   V4  V5  V6  V7  V8  V9 Weight
                   6328:        *  <          ncovcol=8                >
                   6329:        * Model V2 + V1 + V3*age + V3 + V5*V6 + V7*V8 + V8*age + V8
                   6330:        *   k=  1    2      3       4     5       6      7        8
                   6331:        *  cptcovn number of covariates (not including constant and age ) = # of + plus 1 = 7+1=8
                   6332:        *  covar[k,i], value of kth covariate if not including age for individual i:
                   6333:        *       covar[1][i]= (V2), covar[4][i]=(V3), covar[8][i]=(V8)
                   6334:        *  Tvar[k] # of the kth covariate:  Tvar[1]=2  Tvar[4]=3 Tvar[8]=8
                   6335:        *       if multiplied by age: V3*age Tvar[3=V3*age]=3 (V3) Tvar[7]=8 and 
                   6336:        *  Tage[++cptcovage]=k
                   6337:        *       if products, new covar are created after ncovcol with k1
                   6338:        *  Tvar[k]=ncovcol+k1; # of the kth covariate product:  Tvar[5]=ncovcol+1=10  Tvar[6]=ncovcol+1=11
                   6339:        *  Tprod[k1]=k; Tprod[1]=5 Tprod[2]= 6; gives the position of the k1th product
                   6340:        *  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
                   6341:        *  Tvar[cptcovn+k2]=Tvard[k1][1];Tvar[cptcovn+k2+1]=Tvard[k1][2];
                   6342:        *  Tvar[8+1]=5;Tvar[8+2]=6;Tvar[8+3]=7;Tvar[8+4]=8 inverted
                   6343:        *  V1   V2   V3   V4  V5  V6  V7  V8  V9  V10  V11
                   6344:        *  <          ncovcol=8                >
                   6345:        *       Model V2 + V1 + V3*age + V3 + V5*V6 + V7*V8 + V8*age + V8    d1   d1   d2  d2
                   6346:        *          k=  1    2      3       4     5       6      7        8    9   10   11  12
                   6347:        *     Tvar[k]= 2    1      3       3    10      11      8        8    5    6    7   8
                   6348:        * p Tvar[1]@12={2,   1,     3,      3,   11,     10,     8,       8,   7,   8,   5,  6}
                   6349:        * p Tprod[1]@2={                         6, 5}
                   6350:        *p Tvard[1][1]@4= {7, 8, 5, 6}
                   6351:        * covar[k][i]= V2   V1      ?      V3    V5*V6?   V7*V8?  ?       V8   
                   6352:        *  cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
                   6353:        *How to reorganize?
                   6354:        * Model V1 + V2 + V3 + V8 + V5*V6 + V7*V8 + V3*age + V8*age
                   6355:        * Tvars {2,   1,     3,      3,   11,     10,     8,       8,   7,   8,   5,  6}
                   6356:        *       {2,   1,     4,      8,    5,      6,     3,       7}
                   6357:        * Struct []
                   6358:        */
1.145     brouard  6359: 
1.187     brouard  6360:       /* This loop fills the array Tvar from the string 'model'.*/
                   6361:       /* j is the number of + signs in the model V1+V2+V3 j=2 i=3 to 1 */
                   6362:       /*   modelsav=V2+V1+V4+age*V3 strb=age*V3 stra=V2+V1+V4  */
                   6363:       /*       k=4 (age*V3) Tvar[k=4]= 3 (from V3) Tage[cptcovage=1]=4 */
                   6364:       /*       k=3 V4 Tvar[k=3]= 4 (from V4) */
                   6365:       /*       k=2 V1 Tvar[k=2]= 1 (from V1) */
                   6366:       /*       k=1 Tvar[1]=2 (from V2) */
                   6367:       /*       k=5 Tvar[5] */
                   6368:       /* for (k=1; k<=cptcovn;k++) { */
1.198     brouard  6369:       /*       cov[2+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
1.187     brouard  6370:       /*       } */
1.198     brouard  6371:       /* for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,Tvar[Tage[k])]]*cov[2]; */
1.187     brouard  6372:       /*
                   6373:        * Treating invertedly V2+V1+V3*age+V2*V4 is as if written V2*V4 +V3*age + V1 + V2 */
                   6374:       for(k=cptcovt; k>=1;k--) /**< Number of covariates */
1.145     brouard  6375:         Tvar[k]=0;
1.187     brouard  6376:       cptcovage=0;
                   6377:       for(k=1; k<=cptcovt;k++){ /* Loop on total covariates of the model */
                   6378:        cutl(stra,strb,modelsav,'+'); /* keeps in strb after the first '+' 
                   6379:                                         modelsav==V2+V1+V4+V3*age strb=V3*age stra=V2+V1+V4 */ 
                   6380:        if (nbocc(modelsav,'+')==0) strcpy(strb,modelsav); /* and analyzes it */
                   6381:        /*      printf("i=%d a=%s b=%s sav=%s\n",i, stra,strb,modelsav);*/
                   6382:        /*scanf("%d",i);*/
                   6383:        if (strchr(strb,'*')) {  /**< Model includes a product V2+V1+V4+V3*age strb=V3*age */
                   6384:          cutl(strc,strd,strb,'*'); /**< strd*strc  Vm*Vn: strb=V3*age(input) strc=age strd=V3 ; V3*V2 strc=V2, strd=V3 */
                   6385:          if (strcmp(strc,"age")==0) { /**< Model includes age: Vn*age */
                   6386:            /* covar is not filled and then is empty */
                   6387:            cptcovprod--;
                   6388:            cutl(stre,strb,strd,'V'); /* strd=V3(input): stre="3" */
                   6389:            Tvar[k]=atoi(stre);  /* V2+V1+V4+V3*age Tvar[4]=3 ; V1+V2*age Tvar[2]=2; V1+V1*age Tvar[2]=1 */
                   6390:            cptcovage++; /* Sums the number of covariates which include age as a product */
                   6391:            Tage[cptcovage]=k;  /* Tvar[4]=3, Tage[1] = 4 or V1+V1*age Tvar[2]=1, Tage[1]=2 */
                   6392:            /*printf("stre=%s ", stre);*/
                   6393:          } else if (strcmp(strd,"age")==0) { /* or age*Vn */
                   6394:            cptcovprod--;
                   6395:            cutl(stre,strb,strc,'V');
                   6396:            Tvar[k]=atoi(stre);
                   6397:            cptcovage++;
                   6398:            Tage[cptcovage]=k;
                   6399:          } else {  /* Age is not in the model product V2+V1+V1*V4+V3*age+V3*V2  strb=V3*V2*/
                   6400:            /* loops on k1=1 (V3*V2) and k1=2 V4*V3 */
                   6401:            cptcovn++;
                   6402:            cptcovprodnoage++;k1++;
                   6403:            cutl(stre,strb,strc,'V'); /* strc= Vn, stre is n; strb=V3*V2 stre=3 strc=*/
                   6404:            Tvar[k]=ncovcol+k1; /* For model-covariate k tells which data-covariate to use but
                   6405:                                   because this model-covariate is a construction we invent a new column
                   6406:                                   ncovcol + k1
                   6407:                                   If already ncovcol=4 and model=V2+V1+V1*V4+age*V3+V3*V2
                   6408:                                   Tvar[3=V1*V4]=4+1 Tvar[5=V3*V2]=4 + 2= 6, etc */
                   6409:            cutl(strc,strb,strd,'V'); /* strd was Vm, strc is m */
                   6410:            Tprod[k1]=k;  /* Tprod[1]=3(=V1*V4) for V2+V1+V1*V4+age*V3+V3*V2  */
                   6411:            Tvard[k1][1] =atoi(strc); /* m 1 for V1*/
                   6412:            Tvard[k1][2] =atoi(stre); /* n 4 for V4*/
                   6413:            k2=k2+2;
                   6414:            Tvar[cptcovt+k2]=Tvard[k1][1]; /* Tvar[(cptcovt=4+k2=1)=5]= 1 (V1) */
                   6415:            Tvar[cptcovt+k2+1]=Tvard[k1][2];  /* Tvar[(cptcovt=4+(k2=1)+1)=6]= 4 (V4) */
                   6416:            for (i=1; i<=lastobs;i++){
                   6417:              /* Computes the new covariate which is a product of
                   6418:                 covar[n][i]* covar[m][i] and stores it at ncovol+k1 May not be defined */
                   6419:              covar[ncovcol+k1][i]=covar[atoi(stre)][i]*covar[atoi(strc)][i];
                   6420:            }
                   6421:          } /* End age is not in the model */
                   6422:        } /* End if model includes a product */
                   6423:        else { /* no more sum */
                   6424:          /*printf("d=%s c=%s b=%s\n", strd,strc,strb);*/
                   6425:          /*  scanf("%d",i);*/
                   6426:          cutl(strd,strc,strb,'V');
                   6427:          ks++; /**< Number of simple covariates */
1.145     brouard  6428:          cptcovn++;
1.187     brouard  6429:          Tvar[k]=atoi(strd);
                   6430:        }
                   6431:        strcpy(modelsav,stra);  /* modelsav=V2+V1+V4 stra=V2+V1+V4 */ 
                   6432:        /*printf("a=%s b=%s sav=%s\n", stra,strb,modelsav);
                   6433:          scanf("%d",i);*/
                   6434:       } /* end of loop + on total covariates */
                   6435:     } /* end if strlen(modelsave == 0) age*age might exist */
                   6436:   } /* end if strlen(model == 0) */
1.136     brouard  6437:   
                   6438:   /*The number n of Vn is stored in Tvar. cptcovage =number of age covariate. Tage gives the position of age. cptcovprod= number of products.
                   6439:     If model=V1+V1*age then Tvar[1]=1 Tvar[2]=1 cptcovage=1 Tage[1]=2 cptcovprod=0*/
                   6440: 
                   6441:   /* printf("tvar1=%d tvar2=%d tvar3=%d cptcovage=%d Tage=%d",Tvar[1],Tvar[2],Tvar[3],cptcovage,Tage[1]);
                   6442:   printf("cptcovprod=%d ", cptcovprod);
                   6443:   fprintf(ficlog,"cptcovprod=%d ", cptcovprod);
                   6444: 
                   6445:   scanf("%d ",i);*/
                   6446: 
                   6447: 
1.137     brouard  6448:   return (0); /* with covar[new additional covariate if product] and Tage if age */ 
1.164     brouard  6449:   /*endread:*/
1.136     brouard  6450:     printf("Exiting decodemodel: ");
                   6451:     return (1);
                   6452: }
                   6453: 
1.169     brouard  6454: int calandcheckages(int imx, int maxwav, double *agemin, double *agemax, int *nberr, int *nbwarn )
1.136     brouard  6455: {
                   6456:   int i, m;
                   6457: 
                   6458:   for (i=1; i<=imx; i++) {
                   6459:     for(m=2; (m<= maxwav); m++) {
                   6460:       if (((int)mint[m][i]== 99) && (s[m][i] <= nlstate)){
                   6461:        anint[m][i]=9999;
                   6462:        s[m][i]=-1;
                   6463:       }
                   6464:       if((int)moisdc[i]==99 && (int)andc[i]==9999 && s[m][i]>nlstate){
1.169     brouard  6465:        *nberr = *nberr + 1;
                   6466:        printf("Error! Date of death (month %2d and year %4d) of individual %ld on line %d was unknown, you must set an arbitrary year of death or he/she is skipped and results are biased (%d)\n",(int)moisdc[i],(int)andc[i],num[i],i, *nberr);
                   6467:        fprintf(ficlog,"Error! Date of death (month %2d and year %4d) of individual %ld on line %d was unknown, you must set an arbitrary year of death or he/she is skipped and results are biased (%d)\n",(int)moisdc[i],(int)andc[i],num[i],i, *nberr);
1.136     brouard  6468:        s[m][i]=-1;
                   6469:       }
                   6470:       if((int)moisdc[i]==99 && (int)andc[i]!=9999 && s[m][i]>nlstate){
1.169     brouard  6471:        (*nberr)++;
1.136     brouard  6472:        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]); 
                   6473:        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]); 
                   6474:        s[m][i]=-1; /* We prefer to skip it (and to skip it in version 0.8a1 too */
                   6475:       }
                   6476:     }
                   6477:   }
                   6478: 
                   6479:   for (i=1; i<=imx; i++)  {
                   6480:     agedc[i]=(moisdc[i]/12.+andc[i])-(moisnais[i]/12.+annais[i]);
                   6481:     for(m=firstpass; (m<= lastpass); m++){
                   6482:       if(s[m][i] >0 || s[m][i]==-2 || s[m][i]==-4 || s[m][i]==-5){
                   6483:        if (s[m][i] >= nlstate+1) {
1.169     brouard  6484:          if(agedc[i]>0){
                   6485:            if((int)moisdc[i]!=99 && (int)andc[i]!=9999){
1.136     brouard  6486:              agev[m][i]=agedc[i];
                   6487:          /*if(moisdc[i]==99 && andc[i]==9999) s[m][i]=-1;*/
1.169     brouard  6488:            }else {
1.136     brouard  6489:              if ((int)andc[i]!=9999){
                   6490:                nbwarn++;
                   6491:                printf("Warning negative age at death: %ld line:%d\n",num[i],i);
                   6492:                fprintf(ficlog,"Warning negative age at death: %ld line:%d\n",num[i],i);
                   6493:                agev[m][i]=-1;
                   6494:              }
                   6495:            }
1.169     brouard  6496:          } /* agedc > 0 */
1.136     brouard  6497:        }
                   6498:        else if(s[m][i] !=9){ /* Standard case, age in fractional
                   6499:                                 years but with the precision of a month */
                   6500:          agev[m][i]=(mint[m][i]/12.+1./24.+anint[m][i])-(moisnais[i]/12.+1./24.+annais[i]);
                   6501:          if((int)mint[m][i]==99 || (int)anint[m][i]==9999)
                   6502:            agev[m][i]=1;
                   6503:          else if(agev[m][i] < *agemin){ 
                   6504:            *agemin=agev[m][i];
                   6505:            printf(" Min anint[%d][%d]=%.2f annais[%d]=%.2f, agemin=%.2f\n",m,i,anint[m][i], i,annais[i], *agemin);
                   6506:          }
                   6507:          else if(agev[m][i] >*agemax){
                   6508:            *agemax=agev[m][i];
1.156     brouard  6509:            /* printf(" Max anint[%d][%d]=%.0f annais[%d]=%.0f, agemax=%.2f\n",m,i,anint[m][i], i,annais[i], *agemax);*/
1.136     brouard  6510:          }
                   6511:          /*agev[m][i]=anint[m][i]-annais[i];*/
                   6512:          /*     agev[m][i] = age[i]+2*m;*/
                   6513:        }
                   6514:        else { /* =9 */
                   6515:          agev[m][i]=1;
                   6516:          s[m][i]=-1;
                   6517:        }
                   6518:       }
                   6519:       else /*= 0 Unknown */
                   6520:        agev[m][i]=1;
                   6521:     }
                   6522:     
                   6523:   }
                   6524:   for (i=1; i<=imx; i++)  {
                   6525:     for(m=firstpass; (m<=lastpass); m++){
                   6526:       if (s[m][i] > (nlstate+ndeath)) {
1.169     brouard  6527:        (*nberr)++;
1.136     brouard  6528:        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);     
                   6529:        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);     
                   6530:        return 1;
                   6531:       }
                   6532:     }
                   6533:   }
                   6534: 
                   6535:   /*for (i=1; i<=imx; i++){
                   6536:   for (m=firstpass; (m<lastpass); m++){
                   6537:      printf("%ld %d %.lf %d %d\n", num[i],(covar[1][i]),agev[m][i],s[m][i],s[m+1][i]);
                   6538: }
                   6539: 
                   6540: }*/
                   6541: 
                   6542: 
1.139     brouard  6543:   printf("Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, *agemin, *agemax);
                   6544:   fprintf(ficlog,"Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, *agemin, *agemax); 
1.136     brouard  6545: 
                   6546:   return (0);
1.164     brouard  6547:  /* endread:*/
1.136     brouard  6548:     printf("Exiting calandcheckages: ");
                   6549:     return (1);
                   6550: }
                   6551: 
1.172     brouard  6552: #if defined(_MSC_VER)
                   6553: /*printf("Visual C++ compiler: %s \n;", _MSC_FULL_VER);*/
                   6554: /*fprintf(ficlog, "Visual C++ compiler: %s \n;", _MSC_FULL_VER);*/
                   6555: //#include "stdafx.h"
                   6556: //#include <stdio.h>
                   6557: //#include <tchar.h>
                   6558: //#include <windows.h>
                   6559: //#include <iostream>
                   6560: typedef BOOL(WINAPI *LPFN_ISWOW64PROCESS) (HANDLE, PBOOL);
                   6561: 
                   6562: LPFN_ISWOW64PROCESS fnIsWow64Process;
                   6563: 
                   6564: BOOL IsWow64()
                   6565: {
                   6566:        BOOL bIsWow64 = FALSE;
                   6567: 
                   6568:        //typedef BOOL (APIENTRY *LPFN_ISWOW64PROCESS)
                   6569:        //  (HANDLE, PBOOL);
                   6570: 
                   6571:        //LPFN_ISWOW64PROCESS fnIsWow64Process;
                   6572: 
                   6573:        HMODULE module = GetModuleHandle(_T("kernel32"));
                   6574:        const char funcName[] = "IsWow64Process";
                   6575:        fnIsWow64Process = (LPFN_ISWOW64PROCESS)
                   6576:                GetProcAddress(module, funcName);
                   6577: 
                   6578:        if (NULL != fnIsWow64Process)
                   6579:        {
                   6580:                if (!fnIsWow64Process(GetCurrentProcess(),
                   6581:                        &bIsWow64))
                   6582:                        //throw std::exception("Unknown error");
                   6583:                        printf("Unknown error\n");
                   6584:        }
                   6585:        return bIsWow64 != FALSE;
                   6586: }
                   6587: #endif
1.177     brouard  6588: 
1.191     brouard  6589: void syscompilerinfo(int logged)
1.167     brouard  6590:  {
                   6591:    /* #include "syscompilerinfo.h"*/
1.185     brouard  6592:    /* command line Intel compiler 32bit windows, XP compatible:*/
                   6593:    /* /GS /W3 /Gy
                   6594:       /Zc:wchar_t /Zi /O2 /Fd"Release\vc120.pdb" /D "WIN32" /D "NDEBUG" /D
                   6595:       "_CONSOLE" /D "_LIB" /D "_USING_V110_SDK71_" /D "_UNICODE" /D
                   6596:       "UNICODE" /Qipo /Zc:forScope /Gd /Oi /MT /Fa"Release\" /EHsc /nologo
1.186     brouard  6597:       /Fo"Release\" /Qprof-dir "Release\" /Fp"Release\IMaCh.pch"
                   6598:    */ 
                   6599:    /* 64 bits */
1.185     brouard  6600:    /*
                   6601:      /GS /W3 /Gy
                   6602:      /Zc:wchar_t /Zi /O2 /Fd"x64\Release\vc120.pdb" /D "WIN32" /D "NDEBUG"
                   6603:      /D "_CONSOLE" /D "_LIB" /D "_UNICODE" /D "UNICODE" /Qipo /Zc:forScope
                   6604:      /Oi /MD /Fa"x64\Release\" /EHsc /nologo /Fo"x64\Release\" /Qprof-dir
                   6605:      "x64\Release\" /Fp"x64\Release\IMaCh.pch" */
                   6606:    /* Optimization are useless and O3 is slower than O2 */
                   6607:    /*
                   6608:      /GS /W3 /Gy /Zc:wchar_t /Zi /O3 /Fd"x64\Release\vc120.pdb" /D "WIN32" 
                   6609:      /D "NDEBUG" /D "_CONSOLE" /D "_LIB" /D "_UNICODE" /D "UNICODE" /Qipo 
                   6610:      /Zc:forScope /Oi /MD /Fa"x64\Release\" /EHsc /nologo /Qparallel 
                   6611:      /Fo"x64\Release\" /Qprof-dir "x64\Release\" /Fp"x64\Release\IMaCh.pch" 
                   6612:    */
1.186     brouard  6613:    /* Link is */ /* /OUT:"visual studio
1.185     brouard  6614:       2013\Projects\IMaCh\Release\IMaCh.exe" /MANIFEST /NXCOMPAT
                   6615:       /PDB:"visual studio
                   6616:       2013\Projects\IMaCh\Release\IMaCh.pdb" /DYNAMICBASE
                   6617:       "kernel32.lib" "user32.lib" "gdi32.lib" "winspool.lib"
                   6618:       "comdlg32.lib" "advapi32.lib" "shell32.lib" "ole32.lib"
                   6619:       "oleaut32.lib" "uuid.lib" "odbc32.lib" "odbccp32.lib"
                   6620:       /MACHINE:X86 /OPT:REF /SAFESEH /INCREMENTAL:NO
                   6621:       /SUBSYSTEM:CONSOLE",5.01" /MANIFESTUAC:"level='asInvoker'
                   6622:       uiAccess='false'"
                   6623:       /ManifestFile:"Release\IMaCh.exe.intermediate.manifest" /OPT:ICF
                   6624:       /NOLOGO /TLBID:1
                   6625:    */
1.177     brouard  6626: #if defined __INTEL_COMPILER
1.178     brouard  6627: #if defined(__GNUC__)
                   6628:        struct utsname sysInfo;  /* For Intel on Linux and OS/X */
                   6629: #endif
1.177     brouard  6630: #elif defined(__GNUC__) 
1.179     brouard  6631: #ifndef  __APPLE__
1.174     brouard  6632: #include <gnu/libc-version.h>  /* Only on gnu */
1.179     brouard  6633: #endif
1.177     brouard  6634:    struct utsname sysInfo;
1.178     brouard  6635:    int cross = CROSS;
                   6636:    if (cross){
                   6637:           printf("Cross-");
1.191     brouard  6638:           if(logged) fprintf(ficlog, "Cross-");
1.178     brouard  6639:    }
1.174     brouard  6640: #endif
                   6641: 
1.171     brouard  6642: #include <stdint.h>
1.178     brouard  6643: 
1.191     brouard  6644:    printf("Compiled with:");if(logged)fprintf(ficlog,"Compiled with:");
1.169     brouard  6645: #if defined(__clang__)
1.191     brouard  6646:    printf(" Clang/LLVM");if(logged)fprintf(ficlog," Clang/LLVM");      /* Clang/LLVM. ---------------------------------------------- */
1.169     brouard  6647: #endif
                   6648: #if defined(__ICC) || defined(__INTEL_COMPILER)
1.191     brouard  6649:    printf(" Intel ICC/ICPC");if(logged)fprintf(ficlog," Intel ICC/ICPC");/* Intel ICC/ICPC. ------------------------------------------ */
1.169     brouard  6650: #endif
                   6651: #if defined(__GNUC__) || defined(__GNUG__)
1.191     brouard  6652:    printf(" GNU GCC/G++");if(logged)fprintf(ficlog," GNU GCC/G++");/* GNU GCC/G++. --------------------------------------------- */
1.169     brouard  6653: #endif
                   6654: #if defined(__HP_cc) || defined(__HP_aCC)
1.191     brouard  6655:    printf(" Hewlett-Packard C/aC++");if(logged)fprintf(fcilog," Hewlett-Packard C/aC++"); /* Hewlett-Packard C/aC++. ---------------------------------- */
1.169     brouard  6656: #endif
                   6657: #if defined(__IBMC__) || defined(__IBMCPP__)
1.191     brouard  6658:    printf(" IBM XL C/C++"); if(logged) fprintf(ficlog," IBM XL C/C++");/* IBM XL C/C++. -------------------------------------------- */
1.169     brouard  6659: #endif
                   6660: #if defined(_MSC_VER)
1.191     brouard  6661:    printf(" Microsoft Visual Studio");if(logged)fprintf(ficlog," Microsoft Visual Studio");/* Microsoft Visual Studio. --------------------------------- */
1.169     brouard  6662: #endif
                   6663: #if defined(__PGI)
1.191     brouard  6664:    printf(" Portland Group PGCC/PGCPP");if(logged) fprintf(ficlog," Portland Group PGCC/PGCPP");/* Portland Group PGCC/PGCPP. ------------------------------- */
1.169     brouard  6665: #endif
                   6666: #if defined(__SUNPRO_C) || defined(__SUNPRO_CC)
1.191     brouard  6667:    printf(" Oracle Solaris Studio");if(logged)fprintf(ficlog," Oracle Solaris Studio\n");/* Oracle Solaris Studio. ----------------------------------- */
1.167     brouard  6668: #endif
1.191     brouard  6669:    printf(" for "); if (logged) fprintf(ficlog, " for ");
1.169     brouard  6670:    
1.167     brouard  6671: // http://stackoverflow.com/questions/4605842/how-to-identify-platform-compiler-from-preprocessor-macros
                   6672: #ifdef _WIN32 // note the underscore: without it, it's not msdn official!
                   6673:     // Windows (x64 and x86)
1.191     brouard  6674:    printf("Windows (x64 and x86) ");if(logged) fprintf(ficlog,"Windows (x64 and x86) ");
1.167     brouard  6675: #elif __unix__ // all unices, not all compilers
                   6676:     // Unix
1.191     brouard  6677:    printf("Unix ");if(logged) fprintf(ficlog,"Unix ");
1.167     brouard  6678: #elif __linux__
                   6679:     // linux
1.191     brouard  6680:    printf("linux ");if(logged) fprintf(ficlog,"linux ");
1.167     brouard  6681: #elif __APPLE__
1.174     brouard  6682:     // Mac OS, not sure if this is covered by __posix__ and/or __unix__ though..
1.191     brouard  6683:    printf("Mac OS ");if(logged) fprintf(ficlog,"Mac OS ");
1.167     brouard  6684: #endif
                   6685: 
                   6686: /*  __MINGW32__          */
                   6687: /*  __CYGWIN__  */
                   6688: /* __MINGW64__  */
                   6689: // http://msdn.microsoft.com/en-us/library/b0084kay.aspx
                   6690: /* _MSC_VER  //the Visual C++ compiler is 17.00.51106.1, the _MSC_VER macro evaluates to 1700. Type cl /?  */
                   6691: /* _MSC_FULL_VER //the Visual C++ compiler is 15.00.20706.01, the _MSC_FULL_VER macro evaluates to 150020706 */
                   6692: /* _WIN64  // Defined for applications for Win64. */
                   6693: /* _M_X64 // Defined for compilations that target x64 processors. */
                   6694: /* _DEBUG // Defined when you compile with /LDd, /MDd, and /MTd. */
1.171     brouard  6695: 
1.167     brouard  6696: #if UINTPTR_MAX == 0xffffffff
1.191     brouard  6697:    printf(" 32-bit"); if(logged) fprintf(ficlog," 32-bit");/* 32-bit */
1.167     brouard  6698: #elif UINTPTR_MAX == 0xffffffffffffffff
1.191     brouard  6699:    printf(" 64-bit"); if(logged) fprintf(ficlog," 64-bit");/* 64-bit */
1.167     brouard  6700: #else
1.191     brouard  6701:    printf(" wtf-bit"); if(logged) fprintf(ficlog," wtf-bit");/* wtf */
1.167     brouard  6702: #endif
                   6703: 
1.169     brouard  6704: #if defined(__GNUC__)
                   6705: # if defined(__GNUC_PATCHLEVEL__)
                   6706: #  define __GNUC_VERSION__ (__GNUC__ * 10000 \
                   6707:                             + __GNUC_MINOR__ * 100 \
                   6708:                             + __GNUC_PATCHLEVEL__)
                   6709: # else
                   6710: #  define __GNUC_VERSION__ (__GNUC__ * 10000 \
                   6711:                             + __GNUC_MINOR__ * 100)
                   6712: # endif
1.174     brouard  6713:    printf(" using GNU C version %d.\n", __GNUC_VERSION__);
1.191     brouard  6714:    if(logged) fprintf(ficlog, " using GNU C version %d.\n", __GNUC_VERSION__);
1.176     brouard  6715: 
                   6716:    if (uname(&sysInfo) != -1) {
                   6717:      printf("Running on: %s %s %s %s %s\n",sysInfo.sysname, sysInfo.nodename, sysInfo.release, sysInfo.version, sysInfo.machine);
1.191     brouard  6718:         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  6719:    }
                   6720:    else
                   6721:       perror("uname() error");
1.179     brouard  6722:    //#ifndef __INTEL_COMPILER 
                   6723: #if !defined (__INTEL_COMPILER) && !defined(__APPLE__)
1.174     brouard  6724:    printf("GNU libc version: %s\n", gnu_get_libc_version()); 
1.191     brouard  6725:    if(logged) fprintf(ficlog,"GNU libc version: %s\n", gnu_get_libc_version());
1.177     brouard  6726: #endif
1.169     brouard  6727: #endif
1.172     brouard  6728: 
                   6729:    //   void main()
                   6730:    //   {
1.169     brouard  6731: #if defined(_MSC_VER)
1.174     brouard  6732:    if (IsWow64()){
1.191     brouard  6733:           printf("\nThe program (probably compiled for 32bit) is running under WOW64 (64bit) emulation.\n");
                   6734:           if (logged) fprintf(ficlog, "\nThe program (probably compiled for 32bit) is running under WOW64 (64bit) emulation.\n");
1.174     brouard  6735:    }
                   6736:    else{
1.191     brouard  6737:           printf("\nThe program is not running under WOW64 (i.e probably on a 64bit Windows).\n");
                   6738:           if (logged) fprintf(ficlog, "\nThe programm is not running under WOW64 (i.e probably on a 64bit Windows).\n");
1.174     brouard  6739:    }
1.172     brouard  6740:    //     printf("\nPress Enter to continue...");
                   6741:    //     getchar();
                   6742:    //   }
                   6743: 
1.169     brouard  6744: #endif
                   6745:    
1.167     brouard  6746: 
                   6747:  }
1.136     brouard  6748: 
1.209     brouard  6749:  int prevalence_limit(double *p, double **prlim, double ageminpar, double agemaxpar, double ftolpl, int *ncvyearp){
1.180     brouard  6750:   /*--------------- Prevalence limit  (period or stable prevalence) --------------*/
                   6751:   int i, j, k, i1 ;
1.202     brouard  6752:   /* double ftolpl = 1.e-10; */
1.180     brouard  6753:   double age, agebase, agelim;
1.203     brouard  6754:   double tot;
1.180     brouard  6755: 
1.202     brouard  6756:   strcpy(filerespl,"PL_");
                   6757:   strcat(filerespl,fileresu);
                   6758:   if((ficrespl=fopen(filerespl,"w"))==NULL) {
                   6759:     printf("Problem with period (stable) prevalence resultfile: %s\n", filerespl);return 1;
                   6760:     fprintf(ficlog,"Problem with period (stable) prevalence resultfile: %s\n", filerespl);return 1;
                   6761:   }
                   6762:   printf("Computing period (stable) prevalence: result on file '%s' \n", filerespl);
                   6763:   fprintf(ficlog,"Computing period (stable) prevalence: result on file '%s' \n", filerespl);
                   6764:   pstamp(ficrespl);
1.203     brouard  6765:   fprintf(ficrespl,"# Period (stable) prevalence. Precision given by ftolpl=%g \n", ftolpl);
1.202     brouard  6766:   fprintf(ficrespl,"#Age ");
                   6767:   for(i=1; i<=nlstate;i++) fprintf(ficrespl,"%d-%d ",i,i);
                   6768:   fprintf(ficrespl,"\n");
1.180     brouard  6769:   
                   6770:     /* prlim=matrix(1,nlstate,1,nlstate);*/ /* back in main */
                   6771: 
                   6772:     agebase=ageminpar;
                   6773:     agelim=agemaxpar;
                   6774: 
                   6775:     i1=pow(2,cptcoveff);
                   6776:     if (cptcovn < 1){i1=1;}
                   6777: 
                   6778:     for(cptcov=1,k=0;cptcov<=i1;cptcov++){
                   6779:     /* for(cptcov=1,k=0;cptcov<=1;cptcov++){ */
                   6780:       //for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){
                   6781:        k=k+1;
                   6782:        /* to clean */
1.198     brouard  6783:        //printf("cptcov=%d cptcod=%d codtab=%d\n",cptcov, cptcod,codtabm(cptcod,cptcov));
1.200     brouard  6784:        fprintf(ficrespl,"#******");
                   6785:        printf("#******");
                   6786:        fprintf(ficlog,"#******");
1.180     brouard  6787:        for(j=1;j<=cptcoveff;j++) {
1.198     brouard  6788:          fprintf(ficrespl," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   6789:          printf(" V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   6790:          fprintf(ficlog," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.180     brouard  6791:        }
                   6792:        fprintf(ficrespl,"******\n");
                   6793:        printf("******\n");
                   6794:        fprintf(ficlog,"******\n");
                   6795: 
                   6796:        fprintf(ficrespl,"#Age ");
                   6797:        for(j=1;j<=cptcoveff;j++) {
1.200     brouard  6798:          fprintf(ficrespl,"V%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.180     brouard  6799:        }
1.203     brouard  6800:        for(i=1; i<=nlstate;i++) fprintf(ficrespl,"  %d-%d   ",i,i);
                   6801:        fprintf(ficrespl,"Total Years_to_converge\n");
1.180     brouard  6802:        
                   6803:        for (age=agebase; age<=agelim; age++){
                   6804:        /* for (age=agebase; age<=agebase; age++){ */
1.209     brouard  6805:          prevalim(prlim, nlstate, p, age, oldm, savm, ftolpl, ncvyearp, k);
1.180     brouard  6806:          fprintf(ficrespl,"%.0f ",age );
                   6807:          for(j=1;j<=cptcoveff;j++)
1.198     brouard  6808:            fprintf(ficrespl,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.203     brouard  6809:          tot=0.;
                   6810:          for(i=1; i<=nlstate;i++){
                   6811:            tot +=  prlim[i][i];
1.180     brouard  6812:            fprintf(ficrespl," %.5f", prlim[i][i]);
1.203     brouard  6813:          }
1.209     brouard  6814:          fprintf(ficrespl," %.3f %d\n", tot, *ncvyearp);
1.180     brouard  6815:        } /* Age */
                   6816:        /* was end of cptcod */
                   6817:     } /* cptcov */
1.184     brouard  6818:        return 0;
1.180     brouard  6819: }
                   6820: 
                   6821: int hPijx(double *p, int bage, int fage){
                   6822:     /*------------- h Pij x at various ages ------------*/
                   6823: 
                   6824:   int stepsize;
                   6825:   int agelim;
                   6826:   int hstepm;
                   6827:   int nhstepm;
                   6828:   int h, i, i1, j, k;
                   6829: 
                   6830:   double agedeb;
                   6831:   double ***p3mat;
                   6832: 
1.201     brouard  6833:     strcpy(filerespij,"PIJ_");  strcat(filerespij,fileresu);
1.180     brouard  6834:     if((ficrespij=fopen(filerespij,"w"))==NULL) {
                   6835:       printf("Problem with Pij resultfile: %s\n", filerespij); return 1;
                   6836:       fprintf(ficlog,"Problem with Pij resultfile: %s\n", filerespij); return 1;
                   6837:     }
                   6838:     printf("Computing pij: result on file '%s' \n", filerespij);
                   6839:     fprintf(ficlog,"Computing pij: result on file '%s' \n", filerespij);
                   6840:   
                   6841:     stepsize=(int) (stepm+YEARM-1)/YEARM;
                   6842:     /*if (stepm<=24) stepsize=2;*/
                   6843: 
                   6844:     agelim=AGESUP;
                   6845:     hstepm=stepsize*YEARM; /* Every year of age */
                   6846:     hstepm=hstepm/stepm; /* Typically 2 years, = 2/6 months = 4 */ 
                   6847: 
                   6848:     /* hstepm=1;   aff par mois*/
                   6849:     pstamp(ficrespij);
                   6850:     fprintf(ficrespij,"#****** h Pij x Probability to be in state j at age x+h being in i at x ");
                   6851:     i1= pow(2,cptcoveff);
1.183     brouard  6852:    /* for(cptcov=1,k=0;cptcov<=i1;cptcov++){ */
                   6853:    /*    /\*for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*\/ */
                   6854:    /*          k=k+1;  */
                   6855:     for (k=1; k <= (int) pow(2,cptcoveff); k++){
                   6856:       fprintf(ficrespij,"\n#****** ");
                   6857:       for(j=1;j<=cptcoveff;j++) 
1.198     brouard  6858:        fprintf(ficrespij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.183     brouard  6859:       fprintf(ficrespij,"******\n");
                   6860:       
                   6861:       for (agedeb=fage; agedeb>=bage; agedeb--){ /* If stepm=6 months */
                   6862:        nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
                   6863:        nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
                   6864:        
                   6865:        /*        nhstepm=nhstepm*YEARM; aff par mois*/
1.180     brouard  6866:        
1.183     brouard  6867:        p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   6868:        oldm=oldms;savm=savms;
                   6869:        hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);  
                   6870:        fprintf(ficrespij,"# Cov Agex agex+h hpijx with i,j=");
                   6871:        for(i=1; i<=nlstate;i++)
                   6872:          for(j=1; j<=nlstate+ndeath;j++)
                   6873:            fprintf(ficrespij," %1d-%1d",i,j);
                   6874:        fprintf(ficrespij,"\n");
                   6875:        for (h=0; h<=nhstepm; h++){
                   6876:          /*agedebphstep = agedeb + h*hstepm/YEARM*stepm;*/
                   6877:          fprintf(ficrespij,"%d %3.f %3.f",k, agedeb, agedeb + h*hstepm/YEARM*stepm );
1.180     brouard  6878:          for(i=1; i<=nlstate;i++)
                   6879:            for(j=1; j<=nlstate+ndeath;j++)
1.183     brouard  6880:              fprintf(ficrespij," %.5f", p3mat[i][j][h]);
1.180     brouard  6881:          fprintf(ficrespij,"\n");
                   6882:        }
1.183     brouard  6883:        free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   6884:        fprintf(ficrespij,"\n");
                   6885:       }
1.180     brouard  6886:       /*}*/
                   6887:     }
1.184     brouard  6888:        return 0;
1.180     brouard  6889: }
                   6890: 
                   6891: 
1.136     brouard  6892: /***********************************************/
                   6893: /**************** Main Program *****************/
                   6894: /***********************************************/
                   6895: 
                   6896: int main(int argc, char *argv[])
                   6897: {
                   6898: #ifdef GSL
                   6899:   const gsl_multimin_fminimizer_type *T;
                   6900:   size_t iteri = 0, it;
                   6901:   int rval = GSL_CONTINUE;
                   6902:   int status = GSL_SUCCESS;
                   6903:   double ssval;
                   6904: #endif
                   6905:   int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav);
1.164     brouard  6906:   int i,j, k, n=MAXN,iter=0,m,size=100, cptcod;
1.209     brouard  6907:   int ncvyear=0; /* Number of years needed for the period prevalence to converge */
1.164     brouard  6908:   int jj, ll, li, lj, lk;
1.136     brouard  6909:   int numlinepar=0; /* Current linenumber of parameter file */
1.197     brouard  6910:   int num_filled;
1.136     brouard  6911:   int itimes;
                   6912:   int NDIM=2;
                   6913:   int vpopbased=0;
                   6914: 
1.164     brouard  6915:   char ca[32], cb[32];
1.136     brouard  6916:   /*  FILE *fichtm; *//* Html File */
                   6917:   /* FILE *ficgp;*/ /*Gnuplot File */
                   6918:   struct stat info;
1.191     brouard  6919:   double agedeb=0.;
1.194     brouard  6920: 
                   6921:   double ageminpar=AGEOVERFLOW,agemin=AGEOVERFLOW, agemaxpar=-AGEOVERFLOW, agemax=-AGEOVERFLOW;
1.136     brouard  6922: 
1.165     brouard  6923:   double fret;
1.191     brouard  6924:   double dum=0.; /* Dummy variable */
1.136     brouard  6925:   double ***p3mat;
                   6926:   double ***mobaverage;
1.164     brouard  6927: 
                   6928:   char line[MAXLINE];
1.197     brouard  6929:   char path[MAXLINE],pathc[MAXLINE],pathcd[MAXLINE],pathtot[MAXLINE];
                   6930: 
                   6931:   char model[MAXLINE], modeltemp[MAXLINE];
1.136     brouard  6932:   char pathr[MAXLINE], pathimach[MAXLINE]; 
1.164     brouard  6933:   char *tok, *val; /* pathtot */
1.136     brouard  6934:   int firstobs=1, lastobs=10;
1.195     brouard  6935:   int c,  h , cpt, c2;
1.191     brouard  6936:   int jl=0;
                   6937:   int i1, j1, jk, stepsize=0;
1.194     brouard  6938:   int count=0;
                   6939: 
1.164     brouard  6940:   int *tab; 
1.136     brouard  6941:   int mobilavproj=0 , prevfcast=0 ; /* moving average of prev, If prevfcast=1 prevalence projection */
                   6942:   int mobilav=0,popforecast=0;
1.191     brouard  6943:   int hstepm=0, nhstepm=0;
1.136     brouard  6944:   int agemortsup;
                   6945:   float  sumlpop=0.;
                   6946:   double jprev1=1, mprev1=1,anprev1=2000,jprev2=1, mprev2=1,anprev2=2000;
                   6947:   double jpyram=1, mpyram=1,anpyram=2000,jpyram1=1, mpyram1=1,anpyram1=2000;
                   6948: 
1.191     brouard  6949:   double bage=0, fage=110., age, agelim=0., agebase=0.;
1.136     brouard  6950:   double ftolpl=FTOL;
                   6951:   double **prlim;
                   6952:   double ***param; /* Matrix of parameters */
                   6953:   double  *p;
                   6954:   double **matcov; /* Matrix of covariance */
1.203     brouard  6955:   double **hess; /* Hessian matrix */
1.136     brouard  6956:   double ***delti3; /* Scale */
                   6957:   double *delti; /* Scale */
                   6958:   double ***eij, ***vareij;
                   6959:   double **varpl; /* Variances of prevalence limits by age */
                   6960:   double *epj, vepp;
1.164     brouard  6961: 
1.136     brouard  6962:   double dateprev1, dateprev2,jproj1=1,mproj1=1,anproj1=2000,jproj2=1,mproj2=1,anproj2=2000;
                   6963:   double **ximort;
1.145     brouard  6964:   char *alph[]={"a","a","b","c","d","e"}, str[4]="1234";
1.136     brouard  6965:   int *dcwave;
                   6966: 
1.164     brouard  6967:   char z[1]="c";
1.136     brouard  6968: 
                   6969:   /*char  *strt;*/
                   6970:   char strtend[80];
1.126     brouard  6971: 
1.164     brouard  6972: 
1.126     brouard  6973: /*   setlocale (LC_ALL, ""); */
                   6974: /*   bindtextdomain (PACKAGE, LOCALEDIR); */
                   6975: /*   textdomain (PACKAGE); */
                   6976: /*   setlocale (LC_CTYPE, ""); */
                   6977: /*   setlocale (LC_MESSAGES, ""); */
                   6978: 
                   6979:   /*   gettimeofday(&start_time, (struct timezone*)0); */ /* at first time */
1.157     brouard  6980:   rstart_time = time(NULL);  
                   6981:   /*  (void) gettimeofday(&start_time,&tzp);*/
                   6982:   start_time = *localtime(&rstart_time);
1.126     brouard  6983:   curr_time=start_time;
1.157     brouard  6984:   /*tml = *localtime(&start_time.tm_sec);*/
                   6985:   /* strcpy(strstart,asctime(&tml)); */
                   6986:   strcpy(strstart,asctime(&start_time));
1.126     brouard  6987: 
                   6988: /*  printf("Localtime (at start)=%s",strstart); */
1.157     brouard  6989: /*  tp.tm_sec = tp.tm_sec +86400; */
                   6990: /*  tm = *localtime(&start_time.tm_sec); */
1.126     brouard  6991: /*   tmg.tm_year=tmg.tm_year +dsign*dyear; */
                   6992: /*   tmg.tm_mon=tmg.tm_mon +dsign*dmonth; */
                   6993: /*   tmg.tm_hour=tmg.tm_hour + 1; */
1.157     brouard  6994: /*   tp.tm_sec = mktime(&tmg); */
1.126     brouard  6995: /*   strt=asctime(&tmg); */
                   6996: /*   printf("Time(after) =%s",strstart);  */
                   6997: /*  (void) time (&time_value);
                   6998: *  printf("time=%d,t-=%d\n",time_value,time_value-86400);
                   6999: *  tm = *localtime(&time_value);
                   7000: *  strstart=asctime(&tm);
                   7001: *  printf("tim_value=%d,asctime=%s\n",time_value,strstart); 
                   7002: */
                   7003: 
                   7004:   nberr=0; /* Number of errors and warnings */
                   7005:   nbwarn=0;
1.184     brouard  7006: #ifdef WIN32
                   7007:   _getcwd(pathcd, size);
                   7008: #else
1.126     brouard  7009:   getcwd(pathcd, size);
1.184     brouard  7010: #endif
1.191     brouard  7011:   syscompilerinfo(0);
1.196     brouard  7012:   printf("\nIMaCh version %s, %s\n%s",version, copyright, fullversion);
1.126     brouard  7013:   if(argc <=1){
                   7014:     printf("\nEnter the parameter file name: ");
1.205     brouard  7015:     if(!fgets(pathr,FILENAMELENGTH,stdin)){
                   7016:       printf("ERROR Empty parameter file name\n");
                   7017:       goto end;
                   7018:     }
1.126     brouard  7019:     i=strlen(pathr);
                   7020:     if(pathr[i-1]=='\n')
                   7021:       pathr[i-1]='\0';
1.156     brouard  7022:     i=strlen(pathr);
1.205     brouard  7023:     if(i >= 1 && pathr[i-1]==' ') {/* This may happen when dragging on oS/X! */
1.156     brouard  7024:       pathr[i-1]='\0';
1.205     brouard  7025:     }
                   7026:     i=strlen(pathr);
                   7027:     if( i==0 ){
                   7028:       printf("ERROR Empty parameter file name\n");
                   7029:       goto end;
                   7030:     }
                   7031:     for (tok = pathr; tok != NULL; ){
1.126     brouard  7032:       printf("Pathr |%s|\n",pathr);
                   7033:       while ((val = strsep(&tok, "\"" )) != NULL && *val == '\0');
                   7034:       printf("val= |%s| pathr=%s\n",val,pathr);
                   7035:       strcpy (pathtot, val);
                   7036:       if(pathr[0] == '\0') break; /* Dirty */
                   7037:     }
                   7038:   }
                   7039:   else{
                   7040:     strcpy(pathtot,argv[1]);
                   7041:   }
                   7042:   /*if(getcwd(pathcd, MAXLINE)!= NULL)printf ("Error pathcd\n");*/
                   7043:   /*cygwin_split_path(pathtot,path,optionfile);
                   7044:     printf("pathtot=%s, path=%s, optionfile=%s\n",pathtot,path,optionfile);*/
                   7045:   /* cutv(path,optionfile,pathtot,'\\');*/
                   7046: 
                   7047:   /* Split argv[0], imach program to get pathimach */
                   7048:   printf("\nargv[0]=%s argv[1]=%s, \n",argv[0],argv[1]);
                   7049:   split(argv[0],pathimach,optionfile,optionfilext,optionfilefiname);
                   7050:   printf("\nargv[0]=%s pathimach=%s, \noptionfile=%s \noptionfilext=%s \noptionfilefiname=%s\n",argv[0],pathimach,optionfile,optionfilext,optionfilefiname);
                   7051:  /*   strcpy(pathimach,argv[0]); */
                   7052:   /* Split argv[1]=pathtot, parameter file name to get path, optionfile, extension and name */
                   7053:   split(pathtot,path,optionfile,optionfilext,optionfilefiname);
                   7054:   printf("\npathtot=%s,\npath=%s,\noptionfile=%s \noptionfilext=%s \noptionfilefiname=%s\n",pathtot,path,optionfile,optionfilext,optionfilefiname);
1.184     brouard  7055: #ifdef WIN32
                   7056:   _chdir(path); /* Can be a relative path */
                   7057:   if(_getcwd(pathcd,MAXLINE) > 0) /* So pathcd is the full path */
                   7058: #else
1.126     brouard  7059:   chdir(path); /* Can be a relative path */
1.184     brouard  7060:   if (getcwd(pathcd, MAXLINE) > 0) /* So pathcd is the full path */
                   7061: #endif
                   7062:   printf("Current directory %s!\n",pathcd);
1.126     brouard  7063:   strcpy(command,"mkdir ");
                   7064:   strcat(command,optionfilefiname);
                   7065:   if((outcmd=system(command)) != 0){
1.169     brouard  7066:     printf("Directory already exists (or can't create it) %s%s, err=%d\n",path,optionfilefiname,outcmd);
1.126     brouard  7067:     /* fprintf(ficlog,"Problem creating directory %s%s\n",path,optionfilefiname); */
                   7068:     /* fclose(ficlog); */
                   7069: /*     exit(1); */
                   7070:   }
                   7071: /*   if((imk=mkdir(optionfilefiname))<0){ */
                   7072: /*     perror("mkdir"); */
                   7073: /*   } */
                   7074: 
                   7075:   /*-------- arguments in the command line --------*/
                   7076: 
1.186     brouard  7077:   /* Main Log file */
1.126     brouard  7078:   strcat(filelog, optionfilefiname);
                   7079:   strcat(filelog,".log");    /* */
                   7080:   if((ficlog=fopen(filelog,"w"))==NULL)    {
                   7081:     printf("Problem with logfile %s\n",filelog);
                   7082:     goto end;
                   7083:   }
                   7084:   fprintf(ficlog,"Log filename:%s\n",filelog);
1.197     brouard  7085:   fprintf(ficlog,"Version %s %s",version,fullversion);
1.126     brouard  7086:   fprintf(ficlog,"\nEnter the parameter file name: \n");
                   7087:   fprintf(ficlog,"pathimach=%s\npathtot=%s\n\
                   7088:  path=%s \n\
                   7089:  optionfile=%s\n\
                   7090:  optionfilext=%s\n\
1.156     brouard  7091:  optionfilefiname='%s'\n",pathimach,pathtot,path,optionfile,optionfilext,optionfilefiname);
1.126     brouard  7092: 
1.197     brouard  7093:   syscompilerinfo(1);
1.167     brouard  7094: 
1.126     brouard  7095:   printf("Local time (at start):%s",strstart);
                   7096:   fprintf(ficlog,"Local time (at start): %s",strstart);
                   7097:   fflush(ficlog);
                   7098: /*   (void) gettimeofday(&curr_time,&tzp); */
1.157     brouard  7099: /*   printf("Elapsed time %d\n", asc_diff_time(curr_time.tm_sec-start_time.tm_sec,tmpout)); */
1.126     brouard  7100: 
                   7101:   /* */
                   7102:   strcpy(fileres,"r");
                   7103:   strcat(fileres, optionfilefiname);
1.201     brouard  7104:   strcat(fileresu, optionfilefiname); /* Without r in front */
1.126     brouard  7105:   strcat(fileres,".txt");    /* Other files have txt extension */
1.201     brouard  7106:   strcat(fileresu,".txt");    /* Other files have txt extension */
1.126     brouard  7107: 
1.186     brouard  7108:   /* Main ---------arguments file --------*/
1.126     brouard  7109: 
                   7110:   if((ficpar=fopen(optionfile,"r"))==NULL)    {
1.155     brouard  7111:     printf("Problem with optionfile '%s' with errno='%s'\n",optionfile,strerror(errno));
                   7112:     fprintf(ficlog,"Problem with optionfile '%s' with errno='%s'\n",optionfile,strerror(errno));
1.126     brouard  7113:     fflush(ficlog);
1.149     brouard  7114:     /* goto end; */
                   7115:     exit(70); 
1.126     brouard  7116:   }
                   7117: 
                   7118: 
                   7119: 
                   7120:   strcpy(filereso,"o");
1.201     brouard  7121:   strcat(filereso,fileresu);
1.126     brouard  7122:   if((ficparo=fopen(filereso,"w"))==NULL) { /* opened on subdirectory */
                   7123:     printf("Problem with Output resultfile: %s\n", filereso);
                   7124:     fprintf(ficlog,"Problem with Output resultfile: %s\n", filereso);
                   7125:     fflush(ficlog);
                   7126:     goto end;
                   7127:   }
                   7128: 
                   7129:   /* Reads comments: lines beginning with '#' */
                   7130:   numlinepar=0;
1.197     brouard  7131: 
                   7132:     /* First parameter line */
                   7133:   while(fgets(line, MAXLINE, ficpar)) {
                   7134:     /* If line starts with a # it is a comment */
                   7135:     if (line[0] == '#') {
                   7136:       numlinepar++;
                   7137:       fputs(line,stdout);
                   7138:       fputs(line,ficparo);
                   7139:       fputs(line,ficlog);
                   7140:       continue;
                   7141:     }else
                   7142:       break;
                   7143:   }
                   7144:   if((num_filled=sscanf(line,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", \
                   7145:                        title, datafile, &lastobs, &firstpass,&lastpass)) !=EOF){
                   7146:     if (num_filled != 5) {
                   7147:       printf("Should be 5 parameters\n");
                   7148:     }
1.126     brouard  7149:     numlinepar++;
1.197     brouard  7150:     printf("title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", title, datafile, lastobs, firstpass,lastpass);
                   7151:   }
                   7152:   /* Second parameter line */
                   7153:   while(fgets(line, MAXLINE, ficpar)) {
                   7154:     /* If line starts with a # it is a comment */
                   7155:     if (line[0] == '#') {
                   7156:       numlinepar++;
                   7157:       fputs(line,stdout);
                   7158:       fputs(line,ficparo);
                   7159:       fputs(line,ficlog);
                   7160:       continue;
                   7161:     }else
                   7162:       break;
                   7163:   }
                   7164:   if((num_filled=sscanf(line,"ftol=%lf stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\n", \
                   7165:                        &ftol, &stepm, &ncovcol, &nlstate, &ndeath, &maxwav, &mle, &weightopt)) !=EOF){
                   7166:     if (num_filled != 8) {
1.209     brouard  7167:       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");
                   7168:       printf("but line=%s\n",line);
1.197     brouard  7169:     }
                   7170:     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  7171:   }
1.203     brouard  7172:   /* ftolpl=6*ftol*1.e5; /\* 6.e-3 make convergences in less than 80 loops for the prevalence limit *\/ */
1.209     brouard  7173:   /*ftolpl=6.e-4; *//* 6.e-3 make convergences in less than 80 loops for the prevalence limit */
1.197     brouard  7174:   /* Third parameter line */
                   7175:   while(fgets(line, MAXLINE, ficpar)) {
                   7176:     /* If line starts with a # it is a comment */
                   7177:     if (line[0] == '#') {
                   7178:       numlinepar++;
                   7179:       fputs(line,stdout);
                   7180:       fputs(line,ficparo);
                   7181:       fputs(line,ficlog);
                   7182:       continue;
                   7183:     }else
                   7184:       break;
                   7185:   }
1.201     brouard  7186:   if((num_filled=sscanf(line,"model=1+age%[^.\n]", model)) !=EOF){
                   7187:     if (num_filled == 0)
                   7188:             model[0]='\0';
                   7189:     else if (num_filled != 1){
1.197     brouard  7190:       printf("ERROR %d: Model should be at minimum 'model=1+age.' %s\n",num_filled, line);
                   7191:       fprintf(ficlog,"ERROR %d: Model should be at minimum 'model=1+age.' %s\n",num_filled, line);
                   7192:       model[0]='\0';
                   7193:       goto end;
                   7194:     }
                   7195:     else{
                   7196:       if (model[0]=='+'){
                   7197:        for(i=1; i<=strlen(model);i++)
                   7198:          modeltemp[i-1]=model[i];
1.201     brouard  7199:        strcpy(model,modeltemp); 
1.197     brouard  7200:       }
                   7201:     }
1.199     brouard  7202:     /* printf(" model=1+age%s modeltemp= %s, model=%s\n",model, modeltemp, model);fflush(stdout); */
1.203     brouard  7203:     printf("model=1+age+%s\n",model);fflush(stdout);
1.197     brouard  7204:   }
                   7205:   /* 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); */
                   7206:   /* numlinepar=numlinepar+3; /\* In general *\/ */
                   7207:   /* 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  7208:   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);
                   7209:   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  7210:   fflush(ficlog);
1.190     brouard  7211:   /* if(model[0]=='#'|| model[0]== '\0'){ */
                   7212:   if(model[0]=='#'){
1.187     brouard  7213:     printf("Error in 'model' line: model should start with 'model=1+age+' and end with '.' \n \
                   7214:  'model=1+age+.' or 'model=1+age+V1.' or 'model=1+age+age*age+V1+V1*age.' or \n \
                   7215:  'model=1+age+V1+V2.' or 'model=1+age+V1+V2+V1*V2.' etc. \n");         \
                   7216:     if(mle != -1){
                   7217:       printf("Fix the model line and run imach with mle=-1 to get a correct template of the parameter file.\n");
                   7218:       exit(1);
                   7219:     }
                   7220:   }
1.126     brouard  7221:   while((c=getc(ficpar))=='#' && c!= EOF){
                   7222:     ungetc(c,ficpar);
                   7223:     fgets(line, MAXLINE, ficpar);
                   7224:     numlinepar++;
1.195     brouard  7225:     if(line[1]=='q'){ /* This #q will quit imach (the answer is q) */
                   7226:       z[0]=line[1];
                   7227:     }
                   7228:     /* printf("****line [1] = %c \n",line[1]); */
1.141     brouard  7229:     fputs(line, stdout);
                   7230:     //puts(line);
1.126     brouard  7231:     fputs(line,ficparo);
                   7232:     fputs(line,ficlog);
                   7233:   }
                   7234:   ungetc(c,ficpar);
                   7235: 
                   7236:    
1.145     brouard  7237:   covar=matrix(0,NCOVMAX,1,n);  /**< used in readdata */
1.136     brouard  7238:   cptcovn=0; /*Number of covariates, i.e. number of '+' in model statement plus one, indepently of n in Vn*/
                   7239:   /* v1+v2+v3+v2*v4+v5*age makes cptcovn = 5
                   7240:      v1+v2*age+v2*v3 makes cptcovn = 3
                   7241:   */
                   7242:   if (strlen(model)>1) 
1.187     brouard  7243:     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  7244:   else
1.187     brouard  7245:     ncovmodel=2; /* Constant and age */
1.133     brouard  7246:   nforce= (nlstate+ndeath-1)*nlstate; /* Number of forces ij from state i to j */
                   7247:   npar= nforce*ncovmodel; /* Number of parameters like aij*/
1.131     brouard  7248:   if(npar >MAXPARM || nlstate >NLSTATEMAX || ndeath >NDEATHMAX || ncovmodel>NCOVMAX){
                   7249:     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);
                   7250:     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);
                   7251:     fflush(stdout);
                   7252:     fclose (ficlog);
                   7253:     goto end;
                   7254:   }
1.126     brouard  7255:   delti3= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
                   7256:   delti=delti3[1][1];
                   7257:   /*delti=vector(1,npar); *//* Scale of each paramater (output from hesscov)*/
                   7258:   if(mle==-1){ /* Print a wizard for help writing covariance matrix */
                   7259:     prwizard(ncovmodel, nlstate, ndeath, model, ficparo);
1.191     brouard  7260:     printf(" You chose mle=-1, look at file %s for a template of covariance matrix \n",filereso);
                   7261:     fprintf(ficlog," You chose mle=-1, look at file %s for a template of covariance matrix \n",filereso);
1.126     brouard  7262:     free_ma3x(delti3,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel); 
                   7263:     fclose (ficparo);
                   7264:     fclose (ficlog);
                   7265:     goto end;
                   7266:     exit(0);
                   7267:   }
1.186     brouard  7268:   else if(mle==-3) { /* Main Wizard */
1.126     brouard  7269:     prwizard(ncovmodel, nlstate, ndeath, model, ficparo);
1.192     brouard  7270:     printf(" You chose mle=-3, look at file %s for a template of covariance matrix \n",filereso);
                   7271:     fprintf(ficlog," You chose mle=-3, look at file %s for a template of covariance matrix \n",filereso);
1.126     brouard  7272:     param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
                   7273:     matcov=matrix(1,npar,1,npar);
1.203     brouard  7274:     hess=matrix(1,npar,1,npar);
1.126     brouard  7275:   }
                   7276:   else{
1.145     brouard  7277:     /* Read guessed parameters */
1.126     brouard  7278:     /* Reads comments: lines beginning with '#' */
                   7279:     while((c=getc(ficpar))=='#' && c!= EOF){
                   7280:       ungetc(c,ficpar);
                   7281:       fgets(line, MAXLINE, ficpar);
                   7282:       numlinepar++;
1.141     brouard  7283:       fputs(line,stdout);
1.126     brouard  7284:       fputs(line,ficparo);
                   7285:       fputs(line,ficlog);
                   7286:     }
                   7287:     ungetc(c,ficpar);
                   7288:     
                   7289:     param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
                   7290:     for(i=1; i <=nlstate; i++){
                   7291:       j=0;
                   7292:       for(jj=1; jj <=nlstate+ndeath; jj++){
                   7293:        if(jj==i) continue;
                   7294:        j++;
                   7295:        fscanf(ficpar,"%1d%1d",&i1,&j1);
1.193     brouard  7296:        if ((i1 != i) || (j1 != jj)){
1.126     brouard  7297:          printf("Error in line parameters number %d, %1d%1d instead of %1d%1d \n \
                   7298: It might be a problem of design; if ncovcol and the model are correct\n \
                   7299: run imach with mle=-1 to get a correct template of the parameter file.\n",numlinepar, i,j, i1, j1);
                   7300:          exit(1);
                   7301:        }
                   7302:        fprintf(ficparo,"%1d%1d",i1,j1);
                   7303:        if(mle==1)
1.193     brouard  7304:          printf("%1d%1d",i,jj);
                   7305:        fprintf(ficlog,"%1d%1d",i,jj);
1.126     brouard  7306:        for(k=1; k<=ncovmodel;k++){
                   7307:          fscanf(ficpar," %lf",&param[i][j][k]);
                   7308:          if(mle==1){
                   7309:            printf(" %lf",param[i][j][k]);
                   7310:            fprintf(ficlog," %lf",param[i][j][k]);
                   7311:          }
                   7312:          else
                   7313:            fprintf(ficlog," %lf",param[i][j][k]);
                   7314:          fprintf(ficparo," %lf",param[i][j][k]);
                   7315:        }
                   7316:        fscanf(ficpar,"\n");
                   7317:        numlinepar++;
                   7318:        if(mle==1)
                   7319:          printf("\n");
                   7320:        fprintf(ficlog,"\n");
                   7321:        fprintf(ficparo,"\n");
                   7322:       }
                   7323:     }  
                   7324:     fflush(ficlog);
                   7325: 
1.145     brouard  7326:     /* Reads scales values */
1.126     brouard  7327:     p=param[1][1];
                   7328:     
                   7329:     /* Reads comments: lines beginning with '#' */
                   7330:     while((c=getc(ficpar))=='#' && c!= EOF){
                   7331:       ungetc(c,ficpar);
                   7332:       fgets(line, MAXLINE, ficpar);
                   7333:       numlinepar++;
1.141     brouard  7334:       fputs(line,stdout);
1.126     brouard  7335:       fputs(line,ficparo);
                   7336:       fputs(line,ficlog);
                   7337:     }
                   7338:     ungetc(c,ficpar);
                   7339: 
                   7340:     for(i=1; i <=nlstate; i++){
                   7341:       for(j=1; j <=nlstate+ndeath-1; j++){
                   7342:        fscanf(ficpar,"%1d%1d",&i1,&j1);
1.164     brouard  7343:        if ( (i1-i) * (j1-j) != 0){
1.126     brouard  7344:          printf("Error in line parameters number %d, %1d%1d instead of %1d%1d \n",numlinepar, i,j, i1, j1);
                   7345:          exit(1);
                   7346:        }
                   7347:        printf("%1d%1d",i,j);
                   7348:        fprintf(ficparo,"%1d%1d",i1,j1);
                   7349:        fprintf(ficlog,"%1d%1d",i1,j1);
                   7350:        for(k=1; k<=ncovmodel;k++){
                   7351:          fscanf(ficpar,"%le",&delti3[i][j][k]);
                   7352:          printf(" %le",delti3[i][j][k]);
                   7353:          fprintf(ficparo," %le",delti3[i][j][k]);
                   7354:          fprintf(ficlog," %le",delti3[i][j][k]);
                   7355:        }
                   7356:        fscanf(ficpar,"\n");
                   7357:        numlinepar++;
                   7358:        printf("\n");
                   7359:        fprintf(ficparo,"\n");
                   7360:        fprintf(ficlog,"\n");
                   7361:       }
                   7362:     }
                   7363:     fflush(ficlog);
                   7364: 
1.145     brouard  7365:     /* Reads covariance matrix */
1.126     brouard  7366:     delti=delti3[1][1];
                   7367: 
                   7368: 
                   7369:     /* free_ma3x(delti3,1,nlstate,1,nlstate+ndeath-1,1,ncovmodel); */ /* Hasn't to to freed here otherwise delti is no more allocated */
                   7370:   
                   7371:     /* Reads comments: lines beginning with '#' */
                   7372:     while((c=getc(ficpar))=='#' && c!= EOF){
                   7373:       ungetc(c,ficpar);
                   7374:       fgets(line, MAXLINE, ficpar);
                   7375:       numlinepar++;
1.141     brouard  7376:       fputs(line,stdout);
1.126     brouard  7377:       fputs(line,ficparo);
                   7378:       fputs(line,ficlog);
                   7379:     }
                   7380:     ungetc(c,ficpar);
                   7381:   
                   7382:     matcov=matrix(1,npar,1,npar);
1.203     brouard  7383:     hess=matrix(1,npar,1,npar);
1.131     brouard  7384:     for(i=1; i <=npar; i++)
                   7385:       for(j=1; j <=npar; j++) matcov[i][j]=0.;
                   7386:       
1.194     brouard  7387:     /* Scans npar lines */
1.126     brouard  7388:     for(i=1; i <=npar; i++){
1.194     brouard  7389:       count=fscanf(ficpar,"%1d%1d%1d",&i1,&j1,&jk);
                   7390:       if(count != 3){
                   7391:        printf("Error! Error in parameter file %s at line %d after line starting with %1d%1d%1d\n\
                   7392: This is probably because your covariance matrix doesn't \n  contain exactly %d lines corresponding to your model line '1+age+%s'.\n\
                   7393: Please run with mle=-1 to get a correct covariance matrix.\n",optionfile,numlinepar, i1,j1,jk, npar, model);
                   7394:        fprintf(ficlog,"Error! Error in parameter file %s at line %d after line starting with %1d%1d%1d\n\
                   7395: This is probably because your covariance matrix doesn't \n  contain exactly %d lines corresponding to your model line '1+age+%s'.\n\
                   7396: Please run with mle=-1 to get a correct covariance matrix.\n",optionfile,numlinepar, i1,j1,jk, npar, model);
                   7397:        exit(1);
                   7398:       }else
1.126     brouard  7399:       if(mle==1)
1.194     brouard  7400:        printf("%1d%1d%1d",i1,j1,jk);
                   7401:       fprintf(ficlog,"%1d%1d%1d",i1,j1,jk);
                   7402:       fprintf(ficparo,"%1d%1d%1d",i1,j1,jk);
1.126     brouard  7403:       for(j=1; j <=i; j++){
                   7404:        fscanf(ficpar," %le",&matcov[i][j]);
                   7405:        if(mle==1){
                   7406:          printf(" %.5le",matcov[i][j]);
                   7407:        }
                   7408:        fprintf(ficlog," %.5le",matcov[i][j]);
                   7409:        fprintf(ficparo," %.5le",matcov[i][j]);
                   7410:       }
                   7411:       fscanf(ficpar,"\n");
                   7412:       numlinepar++;
                   7413:       if(mle==1)
                   7414:        printf("\n");
                   7415:       fprintf(ficlog,"\n");
                   7416:       fprintf(ficparo,"\n");
                   7417:     }
1.194     brouard  7418:     /* End of read covariance matrix npar lines */
1.126     brouard  7419:     for(i=1; i <=npar; i++)
                   7420:       for(j=i+1;j<=npar;j++)
                   7421:        matcov[i][j]=matcov[j][i];
                   7422:     
                   7423:     if(mle==1)
                   7424:       printf("\n");
                   7425:     fprintf(ficlog,"\n");
                   7426:     
                   7427:     fflush(ficlog);
                   7428:     
                   7429:     /*-------- Rewriting parameter file ----------*/
                   7430:     strcpy(rfileres,"r");    /* "Rparameterfile */
                   7431:     strcat(rfileres,optionfilefiname);    /* Parameter file first name*/
                   7432:     strcat(rfileres,".");    /* */
                   7433:     strcat(rfileres,optionfilext);    /* Other files have txt extension */
                   7434:     if((ficres =fopen(rfileres,"w"))==NULL) {
1.201     brouard  7435:       printf("Problem writing new parameter file: %s\n", rfileres);goto end;
                   7436:       fprintf(ficlog,"Problem writing new parameter file: %s\n", rfileres);goto end;
1.126     brouard  7437:     }
                   7438:     fprintf(ficres,"#%s\n",version);
                   7439:   }    /* End of mle != -3 */
                   7440: 
1.186     brouard  7441:   /*  Main data
                   7442:    */
1.126     brouard  7443:   n= lastobs;
                   7444:   num=lvector(1,n);
                   7445:   moisnais=vector(1,n);
                   7446:   annais=vector(1,n);
                   7447:   moisdc=vector(1,n);
                   7448:   andc=vector(1,n);
                   7449:   agedc=vector(1,n);
                   7450:   cod=ivector(1,n);
                   7451:   weight=vector(1,n);
                   7452:   for(i=1;i<=n;i++) weight[i]=1.0; /* Equal weights, 1 by default */
                   7453:   mint=matrix(1,maxwav,1,n);
                   7454:   anint=matrix(1,maxwav,1,n);
1.131     brouard  7455:   s=imatrix(1,maxwav+1,1,n); /* s[i][j] health state for wave i and individual j */ 
1.126     brouard  7456:   tab=ivector(1,NCOVMAX);
1.144     brouard  7457:   ncodemax=ivector(1,NCOVMAX); /* Number of code per covariate; if O and 1 only, 2**ncov; V1+V2+V3+V4=>16 */
1.192     brouard  7458:   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  7459: 
1.136     brouard  7460:   /* Reads data from file datafile */
                   7461:   if (readdata(datafile, firstobs, lastobs, &imx)==1)
                   7462:     goto end;
                   7463: 
                   7464:   /* Calculation of the number of parameters from char model */
1.137     brouard  7465:     /*    modelsav=V2+V1+V4+age*V3 strb=age*V3 stra=V2+V1+V4 
                   7466:        k=4 (age*V3) Tvar[k=4]= 3 (from V3) Tag[cptcovage=1]=4
                   7467:        k=3 V4 Tvar[k=3]= 4 (from V4)
                   7468:        k=2 V1 Tvar[k=2]= 1 (from V1)
                   7469:        k=1 Tvar[1]=2 (from V2)
                   7470:     */
                   7471:   Tvar=ivector(1,NCOVMAX); /* Was 15 changed to NCOVMAX. */
                   7472:   /*  V2+V1+V4+age*V3 is a model with 4 covariates (3 plus signs). 
                   7473:       For each model-covariate stores the data-covariate id. Tvar[1]=2, Tvar[2]=1, Tvar[3]=4, 
                   7474:       Tvar[4=age*V3] is 3 and 'age' is recorded in Tage.
                   7475:   */
                   7476:   /* For model-covariate k tells which data-covariate to use but
                   7477:     because this model-covariate is a construction we invent a new column
                   7478:     ncovcol + k1
                   7479:     If already ncovcol=4 and model=V2+V1+V1*V4+age*V3
                   7480:     Tvar[3=V1*V4]=4+1 etc */
1.145     brouard  7481:   Tprod=ivector(1,NCOVMAX); /* Gives the position of a product */
1.137     brouard  7482:   /* Tprod[k1=1]=3(=V1*V4) for V2+V1+V1*V4+age*V3
                   7483:      if  V2+V1+V1*V4+age*V3+V3*V2   TProd[k1=2]=5 (V3*V2)
                   7484:   */
1.145     brouard  7485:   Tvaraff=ivector(1,NCOVMAX); /* Unclear */
                   7486:   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  7487:                            * For V3*V2 (in V2+V1+V1*V4+age*V3+V3*V2), V3*V2 position is 2nd. 
                   7488:                            * Tvard[k1=2][1]=3 (V3) Tvard[k1=2][2]=2(V2) */
1.145     brouard  7489:   Tage=ivector(1,NCOVMAX); /* Gives the covariate id of covariates associated with age: V2 + V1 + age*V4 + V3*age
1.137     brouard  7490:                         4 covariates (3 plus signs)
                   7491:                         Tage[1=V3*age]= 4; Tage[2=age*V4] = 3
                   7492:                      */  
1.136     brouard  7493: 
1.186     brouard  7494: /* Main decodemodel */
                   7495: 
1.187     brouard  7496: 
1.136     brouard  7497:   if(decodemodel(model, lastobs) == 1)
                   7498:     goto end;
                   7499: 
1.137     brouard  7500:   if((double)(lastobs-imx)/(double)imx > 1.10){
                   7501:     nbwarn++;
                   7502:     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); 
                   7503:     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); 
                   7504:   }
1.136     brouard  7505:     /*  if(mle==1){*/
1.137     brouard  7506:   if (weightopt != 1) { /* Maximisation without weights. We can have weights different from 1 but want no weight*/
                   7507:     for(i=1;i<=imx;i++) weight[i]=1.0; /* changed to imx */
1.136     brouard  7508:   }
                   7509: 
                   7510:     /*-calculation of age at interview from date of interview and age at death -*/
                   7511:   agev=matrix(1,maxwav,1,imx);
                   7512: 
                   7513:   if(calandcheckages(imx, maxwav, &agemin, &agemax, &nberr, &nbwarn) == 1)
                   7514:     goto end;
                   7515: 
1.126     brouard  7516: 
1.136     brouard  7517:   agegomp=(int)agemin;
                   7518:   free_vector(moisnais,1,n);
                   7519:   free_vector(annais,1,n);
1.126     brouard  7520:   /* free_matrix(mint,1,maxwav,1,n);
                   7521:      free_matrix(anint,1,maxwav,1,n);*/
                   7522:   free_vector(moisdc,1,n);
                   7523:   free_vector(andc,1,n);
1.145     brouard  7524:   /* */
                   7525:   
1.126     brouard  7526:   wav=ivector(1,imx);
                   7527:   dh=imatrix(1,lastpass-firstpass+1,1,imx);
                   7528:   bh=imatrix(1,lastpass-firstpass+1,1,imx);
                   7529:   mw=imatrix(1,lastpass-firstpass+1,1,imx);
                   7530:    
                   7531:   /* Concatenates waves */
                   7532:   concatwav(wav, dh, bh, mw, s, agedc, agev,  firstpass, lastpass, imx, nlstate, stepm);
1.145     brouard  7533:   /* */
                   7534:  
1.126     brouard  7535:   /* Routine tricode is to calculate cptcoveff (real number of unique covariates) and to associate covariable number and modality */
                   7536: 
                   7537:   nbcode=imatrix(0,NCOVMAX,0,NCOVMAX); 
                   7538:   ncodemax[1]=1;
1.145     brouard  7539:   Ndum =ivector(-1,NCOVMAX);  
1.187     brouard  7540:   if (ncovmodel-nagesqr > 2 ) /* That is if covariate other than cst, age and age*age */
1.145     brouard  7541:     tricode(Tvar,nbcode,imx, Ndum); /**< Fills nbcode[Tvar[j]][l]; */
1.211     brouard  7542:   /* Nbcode gives the value of the lth modality (currently 1 to 2) of jth covariate, in
1.186     brouard  7543:      V2+V1*age, there are 3 covariates Tvar[2]=1 (V1).*/
1.211     brouard  7544:   /* 1 to ncodemax[j] which is the maximum value of this jth covariate */
1.145     brouard  7545: 
1.200     brouard  7546:   /*  codtab=imatrix(1,100,1,10);*/ /* codtab[h,k]=( (h-1) - mod(k-1,2**(k-1) )/2**(k-1) */
1.198     brouard  7547:   /*printf(" codtab[1,1],codtab[100,10]=%d,%d\n", codtab[1][1],codtabm(100,10));*/
1.186     brouard  7548:   /* codtab gives the value 1 or 2 of the hth combination of k covariates (1 or 2).*/
1.211     brouard  7549:   /* nbcode[Tvaraff[j]][codtabm(h,j)]) : if there are only 2 modalities for a covariate j, 
                   7550:    * codtabm(h,j) gives its value classified at position h and nbcode gives how it is coded 
                   7551:    * (currently 0 or 1) in the data.
                   7552:    * In a loop on h=1 to 2**k, and a loop on j (=1 to k), we get the value of 
                   7553:    * corresponding modality (h,j).
                   7554:    */
                   7555: 
1.145     brouard  7556:   h=0;
                   7557: 
                   7558: 
                   7559:   /*if (cptcovn > 0) */
1.126     brouard  7560:       
1.145     brouard  7561:  
1.126     brouard  7562:   m=pow(2,cptcoveff);
                   7563:  
1.144     brouard  7564:          /**< codtab(h,k)  k   = codtab[h,k]=( (h-1) - mod(k-1,2**(k-1) )/2**(k-1) + 1
1.211     brouard  7565:           * For k=4 covariates, h goes from 1 to m=2**k
                   7566:           * codtabm(h,k)=  (1 & (h-1) >> (k-1)) + 1;
                   7567:            * #define codtabm(h,k)  (1 & (h-1) >> (k-1))+1
1.186     brouard  7568:           *     h\k   1     2     3     4
1.143     brouard  7569:           *______________________________  
                   7570:           *     1 i=1 1 i=1 1 i=1 1 i=1 1
                   7571:           *     2     2     1     1     1
                   7572:           *     3 i=2 1     2     1     1
                   7573:           *     4     2     2     1     1
                   7574:           *     5 i=3 1 i=2 1     2     1
                   7575:           *     6     2     1     2     1
                   7576:           *     7 i=4 1     2     2     1
                   7577:           *     8     2     2     2     1
1.197     brouard  7578:           *     9 i=5 1 i=3 1 i=2 1     2
                   7579:           *    10     2     1     1     2
                   7580:           *    11 i=6 1     2     1     2
                   7581:           *    12     2     2     1     2
                   7582:           *    13 i=7 1 i=4 1     2     2    
                   7583:           *    14     2     1     2     2
                   7584:           *    15 i=8 1     2     2     2
                   7585:           *    16     2     2     2     2
1.143     brouard  7586:           */
1.212   ! brouard  7587:   /* How to do the opposite? From combination h (=1 to 2**k) how to get the value on the covariates? */
1.211     brouard  7588:      /* from h=5 and m, we get then number of covariates k=log(m)/log(2)=4
                   7589:      * and the value of each covariate?
                   7590:      * V1=1, V2=1, V3=2, V4=1 ?
                   7591:      * h-1=4 and 4 is 0100 or reverse 0010, and +1 is 1121 ok.
                   7592:      * h=6, 6-1=5, 5 is 0101, 1010, 2121, V1=2nd, V2=1st, V3=2nd, V4=1st.
                   7593:      * In order to get the real value in the data, we use nbcode
                   7594:      * nbcode[Tvar[3][2nd]]=1 and nbcode[Tvar[4][1]]=0
                   7595:      * We are keeping this crazy system in order to be able (in the future?) 
                   7596:      * to have more than 2 values (0 or 1) for a covariate.
                   7597:      * #define codtabm(h,k)  (1 & (h-1) >> (k-1))+1
                   7598:      * h=6, k=2? h-1=5=0101, reverse 1010, +1=2121, k=2nd position: value is 1: codtabm(6,2)=1
                   7599:      *              bbbbbbbb
                   7600:      *              76543210     
                   7601:      *   h-1        00000101 (6-1=5)
                   7602:      *(h-1)>>(k-1)= 00000001 >> (2-1) = 1 right shift
                   7603:      *           &
                   7604:      *     1        00000001 (1)
                   7605:      *              00000001        = 1 & ((h-1) >> (k-1))
                   7606:      *          +1= 00000010 =2 
                   7607:      *
                   7608:      * h=14, k=3 => h'=h-1=13, k'=k-1=2
                   7609:      *          h'      1101 =2^3+2^2+0x2^1+2^0
                   7610:      *    >>k'            11
                   7611:      *          &   00000001
                   7612:      *            = 00000001
                   7613:      *      +1    = 00000010=2    =  codtabm(14,3)   
                   7614:      * Reverse h=6 and m=16?
                   7615:      * cptcoveff=log(16)/log(2)=4 covariate: 6-1=5=0101 reversed=1010 +1=2121 =>V1=2, V2=1, V3=2, V4=1.
                   7616:      * for (j=1 to cptcoveff) Vj=decodtabm(j,h,cptcoveff)
                   7617:      * decodtabm(h,j,cptcoveff)= (((h-1) >> (j-1)) & 1) +1 
                   7618:      * decodtabm(h,j,cptcoveff)= (h <= (1<<cptcoveff)?(((h-1) >> (j-1)) & 1) +1 : -1)
                   7619:      * V3=decodtabm(14,3,2**4)=2
                   7620:      *          h'=13   1101 =2^3+2^2+0x2^1+2^0
                   7621:      *(h-1) >> (j-1)    0011 =13 >> 2
                   7622:      *          &1 000000001
                   7623:      *           = 000000001
                   7624:      *         +1= 000000010 =2
                   7625:      *                  2211
                   7626:      *                  V1=1+1, V2=0+1, V3=1+1, V4=1+1
                   7627:      *                  V3=2
                   7628:      */
                   7629: 
1.202     brouard  7630:   /* /\* for(h=1; h <=100 ;h++){  *\/ */
                   7631:   /*   /\* printf("h=%2d ", h); *\/ */
                   7632:   /*    /\* for(k=1; k <=10; k++){ *\/ */
                   7633:   /*      /\* printf("k=%d %d ",k,codtabm(h,k)); *\/ */
                   7634:   /*    /\*   codtab[h][k]=codtabm(h,k); *\/ */
                   7635:   /*    /\* } *\/ */
                   7636:   /*    /\* printf("\n"); *\/ */
                   7637:   /* } */
1.197     brouard  7638:   /* for(k=1;k<=cptcoveff; k++){ /\* scans any effective covariate *\/ */
                   7639:   /*   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 *\/  */
                   7640:   /*     for(j=1; j <= ncodemax[k]; j++){ /\* For each modality of this covariate ncodemax=2*\/ */
                   7641:   /*   for(cpt=1; cpt <=pow(2,k-1); cpt++){  /\* cpt=1 to 8/2**(3+1-1 or 3+1-3) =1 or 4 *\/  */
                   7642:   /*     h++; */
                   7643:   /*     if (h>m)  */
                   7644:   /*       h=1; */
                   7645:   /*     codtab[h][k]=j; */
                   7646:   /*     /\* codtab[12][3]=1; *\/ */
                   7647:   /*     /\*codtab[h][Tvar[k]]=j;*\/ */
                   7648:   /*     /\* 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]]); *\/ */
                   7649:   /*   }  */
                   7650:   /*     } */
                   7651:   /*   } */
                   7652:   /* }  */
1.126     brouard  7653:   /* printf("codtab[1][2]=%d codtab[2][2]=%d",codtab[1][2],codtab[2][2]); 
                   7654:      codtab[1][2]=1;codtab[2][2]=2; */
1.197     brouard  7655:   /* for(i=1; i <=m ;i++){  */
                   7656:   /*    for(k=1; k <=cptcovn; k++){ */
                   7657:   /*      printf("i=%d k=%d %d %d ",i,k,codtab[i][k], cptcoveff); */
                   7658:   /*    } */
                   7659:   /*    printf("\n"); */
                   7660:   /* } */
                   7661:   /*   scanf("%d",i);*/
1.145     brouard  7662: 
                   7663:  free_ivector(Ndum,-1,NCOVMAX);
                   7664: 
                   7665: 
1.126     brouard  7666:     
1.186     brouard  7667:   /* Initialisation of ----------- gnuplot -------------*/
1.126     brouard  7668:   strcpy(optionfilegnuplot,optionfilefiname);
                   7669:   if(mle==-3)
1.201     brouard  7670:     strcat(optionfilegnuplot,"-MORT_");
1.126     brouard  7671:   strcat(optionfilegnuplot,".gp");
                   7672: 
                   7673:   if((ficgp=fopen(optionfilegnuplot,"w"))==NULL) {
                   7674:     printf("Problem with file %s",optionfilegnuplot);
                   7675:   }
                   7676:   else{
1.204     brouard  7677:     fprintf(ficgp,"\n# IMaCh-%s\n", version); 
1.126     brouard  7678:     fprintf(ficgp,"# %s\n", optionfilegnuplot); 
1.141     brouard  7679:     //fprintf(ficgp,"set missing 'NaNq'\n");
                   7680:     fprintf(ficgp,"set datafile missing 'NaNq'\n");
1.126     brouard  7681:   }
                   7682:   /*  fclose(ficgp);*/
1.186     brouard  7683: 
                   7684: 
                   7685:   /* Initialisation of --------- index.htm --------*/
1.126     brouard  7686: 
                   7687:   strcpy(optionfilehtm,optionfilefiname); /* Main html file */
                   7688:   if(mle==-3)
1.201     brouard  7689:     strcat(optionfilehtm,"-MORT_");
1.126     brouard  7690:   strcat(optionfilehtm,".htm");
                   7691:   if((fichtm=fopen(optionfilehtm,"w"))==NULL)    {
1.131     brouard  7692:     printf("Problem with %s \n",optionfilehtm);
                   7693:     exit(0);
1.126     brouard  7694:   }
                   7695: 
                   7696:   strcpy(optionfilehtmcov,optionfilefiname); /* Only for matrix of covariance */
                   7697:   strcat(optionfilehtmcov,"-cov.htm");
                   7698:   if((fichtmcov=fopen(optionfilehtmcov,"w"))==NULL)    {
                   7699:     printf("Problem with %s \n",optionfilehtmcov), exit(0);
                   7700:   }
                   7701:   else{
                   7702:   fprintf(fichtmcov,"<html><head>\n<title>IMaCh Cov %s</title></head>\n <body><font size=\"2\">%s <br> %s</font> \
                   7703: <hr size=\"2\" color=\"#EC5E5E\"> \n\
1.204     brouard  7704: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s<br>\n",\
1.126     brouard  7705:          optionfilehtmcov,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);
                   7706:   }
                   7707: 
1.204     brouard  7708:   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-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</a></font><br>  \
                   7709: <hr size=\"2\" color=\"#EC5E5E\"> \n\
                   7710: <font size=\"2\">IMaCh-%s <br> %s</font> \
1.126     brouard  7711: <hr size=\"2\" color=\"#EC5E5E\"> \n\
1.204     brouard  7712: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s<br>\n\
1.126     brouard  7713: \n\
                   7714: <hr  size=\"2\" color=\"#EC5E5E\">\
                   7715:  <ul><li><h4>Parameter files</h4>\n\
                   7716:  - Parameter file: <a href=\"%s.%s\">%s.%s</a><br>\n\
                   7717:  - Copy of the parameter file: <a href=\"o%s\">o%s</a><br>\n\
                   7718:  - Log file of the run: <a href=\"%s\">%s</a><br>\n\
                   7719:  - Gnuplot file name: <a href=\"%s\">%s</a><br>\n\
                   7720:  - Date and time at start: %s</ul>\n",\
                   7721:          optionfilehtm,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model,\
                   7722:          optionfilefiname,optionfilext,optionfilefiname,optionfilext,\
                   7723:          fileres,fileres,\
                   7724:          filelog,filelog,optionfilegnuplot,optionfilegnuplot,strstart);
                   7725:   fflush(fichtm);
                   7726: 
                   7727:   strcpy(pathr,path);
                   7728:   strcat(pathr,optionfilefiname);
1.184     brouard  7729: #ifdef WIN32
                   7730:   _chdir(optionfilefiname); /* Move to directory named optionfile */
                   7731: #else
1.126     brouard  7732:   chdir(optionfilefiname); /* Move to directory named optionfile */
1.184     brouard  7733: #endif
                   7734:          
1.126     brouard  7735:   
                   7736:   /* Calculates basic frequencies. Computes observed prevalence at single age
                   7737:      and prints on file fileres'p'. */
                   7738:   freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint,strstart);
                   7739: 
                   7740:   fprintf(fichtm,"\n");
                   7741:   fprintf(fichtm,"<br>Total number of observations=%d <br>\n\
                   7742: Youngest age at first (selected) pass %.2f, oldest age %.2f<br>\n\
                   7743: Interval (in months) between two waves: Min=%d Max=%d Mean=%.2lf<br>\n",\
                   7744:          imx,agemin,agemax,jmin,jmax,jmean);
                   7745:   pmmij= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
                   7746:     oldms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
                   7747:     newms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
                   7748:     savms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
                   7749:     oldm=oldms; newm=newms; savm=savms; /* Keeps fixed addresses to free */
                   7750:     
                   7751:    
                   7752:   /* For Powell, parameters are in a vector p[] starting at p[1]
                   7753:      so we point p on param[1][1] so that p[1] maps on param[1][1][1] */
                   7754:   p=param[1][1]; /* *(*(*(param +1)+1)+0) */
                   7755: 
                   7756:   globpr=0; /* To get the number ipmx of contributions and the sum of weights*/
1.186     brouard  7757:   /* For mortality only */
1.126     brouard  7758:   if (mle==-3){
1.136     brouard  7759:     ximort=matrix(1,NDIM,1,NDIM); 
1.186     brouard  7760:     /*     ximort=gsl_matrix_alloc(1,NDIM,1,NDIM); */
1.126     brouard  7761:     cens=ivector(1,n);
                   7762:     ageexmed=vector(1,n);
                   7763:     agecens=vector(1,n);
                   7764:     dcwave=ivector(1,n);
                   7765:  
                   7766:     for (i=1; i<=imx; i++){
                   7767:       dcwave[i]=-1;
                   7768:       for (m=firstpass; m<=lastpass; m++)
                   7769:        if (s[m][i]>nlstate) {
                   7770:          dcwave[i]=m;
                   7771:          /*    printf("i=%d j=%d s=%d dcwave=%d\n",i,j, s[j][i],dcwave[i]);*/
                   7772:          break;
                   7773:        }
                   7774:     }
                   7775: 
                   7776:     for (i=1; i<=imx; i++) {
                   7777:       if (wav[i]>0){
                   7778:        ageexmed[i]=agev[mw[1][i]][i];
                   7779:        j=wav[i];
                   7780:        agecens[i]=1.; 
                   7781: 
                   7782:        if (ageexmed[i]> 1 && wav[i] > 0){
                   7783:          agecens[i]=agev[mw[j][i]][i];
                   7784:          cens[i]= 1;
                   7785:        }else if (ageexmed[i]< 1) 
                   7786:          cens[i]= -1;
                   7787:        if (agedc[i]< AGESUP && agedc[i]>1 && dcwave[i]>firstpass && dcwave[i]<=lastpass)
                   7788:          cens[i]=0 ;
                   7789:       }
                   7790:       else cens[i]=-1;
                   7791:     }
                   7792:     
                   7793:     for (i=1;i<=NDIM;i++) {
                   7794:       for (j=1;j<=NDIM;j++)
                   7795:        ximort[i][j]=(i == j ? 1.0 : 0.0);
                   7796:     }
                   7797:     
1.145     brouard  7798:     /*p[1]=0.0268; p[NDIM]=0.083;*/
1.126     brouard  7799:     /*printf("%lf %lf", p[1], p[2]);*/
                   7800:     
                   7801:     
1.136     brouard  7802: #ifdef GSL
                   7803:     printf("GSL optimization\n");  fprintf(ficlog,"Powell\n");
1.162     brouard  7804: #else
1.126     brouard  7805:     printf("Powell\n");  fprintf(ficlog,"Powell\n");
1.136     brouard  7806: #endif
1.201     brouard  7807:     strcpy(filerespow,"POW-MORT_"); 
                   7808:     strcat(filerespow,fileresu);
1.126     brouard  7809:     if((ficrespow=fopen(filerespow,"w"))==NULL) {
                   7810:       printf("Problem with resultfile: %s\n", filerespow);
                   7811:       fprintf(ficlog,"Problem with resultfile: %s\n", filerespow);
                   7812:     }
1.136     brouard  7813: #ifdef GSL
                   7814:     fprintf(ficrespow,"# GSL optimization\n# iter -2*LL");
1.162     brouard  7815: #else
1.126     brouard  7816:     fprintf(ficrespow,"# Powell\n# iter -2*LL");
1.136     brouard  7817: #endif
1.126     brouard  7818:     /*  for (i=1;i<=nlstate;i++)
                   7819:        for(j=1;j<=nlstate+ndeath;j++)
                   7820:        if(j!=i)fprintf(ficrespow," p%1d%1d",i,j);
                   7821:     */
                   7822:     fprintf(ficrespow,"\n");
1.136     brouard  7823: #ifdef GSL
                   7824:     /* gsl starts here */ 
                   7825:     T = gsl_multimin_fminimizer_nmsimplex;
                   7826:     gsl_multimin_fminimizer *sfm = NULL;
                   7827:     gsl_vector *ss, *x;
                   7828:     gsl_multimin_function minex_func;
                   7829: 
                   7830:     /* Initial vertex size vector */
                   7831:     ss = gsl_vector_alloc (NDIM);
                   7832:     
                   7833:     if (ss == NULL){
                   7834:       GSL_ERROR_VAL ("failed to allocate space for ss", GSL_ENOMEM, 0);
                   7835:     }
                   7836:     /* Set all step sizes to 1 */
                   7837:     gsl_vector_set_all (ss, 0.001);
                   7838: 
                   7839:     /* Starting point */
1.126     brouard  7840:     
1.136     brouard  7841:     x = gsl_vector_alloc (NDIM);
                   7842:     
                   7843:     if (x == NULL){
                   7844:       gsl_vector_free(ss);
                   7845:       GSL_ERROR_VAL ("failed to allocate space for x", GSL_ENOMEM, 0);
                   7846:     }
                   7847:   
                   7848:     /* Initialize method and iterate */
                   7849:     /*     p[1]=0.0268; p[NDIM]=0.083; */
1.186     brouard  7850:     /*     gsl_vector_set(x, 0, 0.0268); */
                   7851:     /*     gsl_vector_set(x, 1, 0.083); */
1.136     brouard  7852:     gsl_vector_set(x, 0, p[1]);
                   7853:     gsl_vector_set(x, 1, p[2]);
                   7854: 
                   7855:     minex_func.f = &gompertz_f;
                   7856:     minex_func.n = NDIM;
                   7857:     minex_func.params = (void *)&p; /* ??? */
                   7858:     
                   7859:     sfm = gsl_multimin_fminimizer_alloc (T, NDIM);
                   7860:     gsl_multimin_fminimizer_set (sfm, &minex_func, x, ss);
                   7861:     
                   7862:     printf("Iterations beginning .....\n\n");
                   7863:     printf("Iter. #    Intercept       Slope     -Log Likelihood     Simplex size\n");
                   7864: 
                   7865:     iteri=0;
                   7866:     while (rval == GSL_CONTINUE){
                   7867:       iteri++;
                   7868:       status = gsl_multimin_fminimizer_iterate(sfm);
                   7869:       
                   7870:       if (status) printf("error: %s\n", gsl_strerror (status));
                   7871:       fflush(0);
                   7872:       
                   7873:       if (status) 
                   7874:         break;
                   7875:       
                   7876:       rval = gsl_multimin_test_size (gsl_multimin_fminimizer_size (sfm), 1e-6);
                   7877:       ssval = gsl_multimin_fminimizer_size (sfm);
                   7878:       
                   7879:       if (rval == GSL_SUCCESS)
                   7880:         printf ("converged to a local maximum at\n");
                   7881:       
                   7882:       printf("%5d ", iteri);
                   7883:       for (it = 0; it < NDIM; it++){
                   7884:        printf ("%10.5f ", gsl_vector_get (sfm->x, it));
                   7885:       }
                   7886:       printf("f() = %-10.5f ssize = %.7f\n", sfm->fval, ssval);
                   7887:     }
                   7888:     
                   7889:     printf("\n\n Please note: Program should be run many times with varying starting points to detemine global maximum\n\n");
                   7890:     
                   7891:     gsl_vector_free(x); /* initial values */
                   7892:     gsl_vector_free(ss); /* inital step size */
                   7893:     for (it=0; it<NDIM; it++){
                   7894:       p[it+1]=gsl_vector_get(sfm->x,it);
                   7895:       fprintf(ficrespow," %.12lf", p[it]);
                   7896:     }
                   7897:     gsl_multimin_fminimizer_free (sfm); /* p *(sfm.x.data) et p *(sfm.x.data+1)  */
                   7898: #endif
                   7899: #ifdef POWELL
                   7900:      powell(p,ximort,NDIM,ftol,&iter,&fret,gompertz);
                   7901: #endif  
1.126     brouard  7902:     fclose(ficrespow);
                   7903:     
1.203     brouard  7904:     hesscov(matcov, hess, p, NDIM, delti, 1e-4, gompertz); 
1.126     brouard  7905: 
                   7906:     for(i=1; i <=NDIM; i++)
                   7907:       for(j=i+1;j<=NDIM;j++)
                   7908:        matcov[i][j]=matcov[j][i];
                   7909:     
                   7910:     printf("\nCovariance matrix\n ");
1.203     brouard  7911:     fprintf(ficlog,"\nCovariance matrix\n ");
1.126     brouard  7912:     for(i=1; i <=NDIM; i++) {
                   7913:       for(j=1;j<=NDIM;j++){ 
                   7914:        printf("%f ",matcov[i][j]);
1.203     brouard  7915:        fprintf(ficlog,"%f ",matcov[i][j]);
1.126     brouard  7916:       }
1.203     brouard  7917:       printf("\n ");  fprintf(ficlog,"\n ");
1.126     brouard  7918:     }
                   7919:     
                   7920:     printf("iter=%d MLE=%f Eq=%lf*exp(%lf*(age-%d))\n",iter,-gompertz(p),p[1],p[2],agegomp);
1.193     brouard  7921:     for (i=1;i<=NDIM;i++) {
1.126     brouard  7922:       printf("%f [%f ; %f]\n",p[i],p[i]-2*sqrt(matcov[i][i]),p[i]+2*sqrt(matcov[i][i]));
1.193     brouard  7923:       fprintf(ficlog,"%f [%f ; %f]\n",p[i],p[i]-2*sqrt(matcov[i][i]),p[i]+2*sqrt(matcov[i][i]));
                   7924:     }
1.126     brouard  7925:     lsurv=vector(1,AGESUP);
                   7926:     lpop=vector(1,AGESUP);
                   7927:     tpop=vector(1,AGESUP);
                   7928:     lsurv[agegomp]=100000;
                   7929:     
                   7930:     for (k=agegomp;k<=AGESUP;k++) {
                   7931:       agemortsup=k;
                   7932:       if (p[1]*exp(p[2]*(k-agegomp))>1) break;
                   7933:     }
                   7934:     
                   7935:     for (k=agegomp;k<agemortsup;k++)
                   7936:       lsurv[k+1]=lsurv[k]-lsurv[k]*(p[1]*exp(p[2]*(k-agegomp)));
                   7937:     
                   7938:     for (k=agegomp;k<agemortsup;k++){
                   7939:       lpop[k]=(lsurv[k]+lsurv[k+1])/2.;
                   7940:       sumlpop=sumlpop+lpop[k];
                   7941:     }
                   7942:     
                   7943:     tpop[agegomp]=sumlpop;
                   7944:     for (k=agegomp;k<(agemortsup-3);k++){
                   7945:       /*  tpop[k+1]=2;*/
                   7946:       tpop[k+1]=tpop[k]-lpop[k];
                   7947:     }
                   7948:     
                   7949:     
                   7950:     printf("\nAge   lx     qx    dx    Lx     Tx     e(x)\n");
                   7951:     for (k=agegomp;k<(agemortsup-2);k++) 
                   7952:       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]);
                   7953:     
                   7954:     
                   7955:     replace_back_to_slash(pathc,pathcd); /* Even gnuplot wants a / */
1.194     brouard  7956:     if(ageminpar == AGEOVERFLOW ||agemaxpar == AGEOVERFLOW){
                   7957:        printf("Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
                   7958: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   7959: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
                   7960:        fprintf(ficlog,"Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
                   7961: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   7962: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
                   7963:     }else
1.201     brouard  7964:       printinggnuplotmort(fileresu, optionfilefiname,ageminpar,agemaxpar,fage, pathc,p);
                   7965:     printinghtmlmort(fileresu,title,datafile, firstpass, lastpass, \
1.126     brouard  7966:                     stepm, weightopt,\
                   7967:                     model,imx,p,matcov,agemortsup);
                   7968:     
                   7969:     free_vector(lsurv,1,AGESUP);
                   7970:     free_vector(lpop,1,AGESUP);
                   7971:     free_vector(tpop,1,AGESUP);
1.136     brouard  7972: #ifdef GSL
                   7973:     free_ivector(cens,1,n);
                   7974:     free_vector(agecens,1,n);
                   7975:     free_ivector(dcwave,1,n);
                   7976:     free_matrix(ximort,1,NDIM,1,NDIM);
                   7977: #endif
1.186     brouard  7978:   } /* Endof if mle==-3 mortality only */
1.205     brouard  7979:   /* Standard  */
                   7980:   else{ /* For mle !=- 3, could be 0 or 1 or 4 etc. */
                   7981:     globpr=0;/* Computes sum of likelihood for globpr=1 and funcone */
                   7982:     /* Computes likelihood for initial parameters, uses funcone to compute gpimx and gsw */
1.132     brouard  7983:     likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
1.126     brouard  7984:     printf("First Likeli=%12.6f ipmx=%ld sw=%12.6f",fretone,ipmx,sw);
                   7985:     for (k=1; k<=npar;k++)
                   7986:       printf(" %d %8.5f",k,p[k]);
                   7987:     printf("\n");
1.205     brouard  7988:     if(mle>=1){ /* Could be 1 or 2, Real Maximization */
                   7989:       /* mlikeli uses func not funcone */
                   7990:       mlikeli(ficres,p, npar, ncovmodel, nlstate, ftol, func);
                   7991:     }
                   7992:     if(mle==0) {/* No optimization, will print the likelihoods for the datafile */
                   7993:       globpr=0;/* Computes sum of likelihood for globpr=1 and funcone */
                   7994:       /* Computes likelihood for initial parameters, uses funcone to compute gpimx and gsw */
                   7995:       likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
                   7996:     }
                   7997:     globpr=1; /* again, to print the individual contributions using computed gpimx and gsw */
1.126     brouard  7998:     likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
                   7999:     printf("Second Likeli=%12.6f ipmx=%ld sw=%12.6f",fretone,ipmx,sw);
                   8000:     for (k=1; k<=npar;k++)
                   8001:       printf(" %d %8.5f",k,p[k]);
                   8002:     printf("\n");
                   8003:     
                   8004:     /*--------- results files --------------*/
1.192     brouard  8005:     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  8006:     
                   8007:     
                   8008:     fprintf(ficres,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   8009:     printf("# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   8010:     fprintf(ficlog,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   8011:     for(i=1,jk=1; i <=nlstate; i++){
                   8012:       for(k=1; k <=(nlstate+ndeath); k++){
                   8013:        if (k != i) {
                   8014:          printf("%d%d ",i,k);
                   8015:          fprintf(ficlog,"%d%d ",i,k);
                   8016:          fprintf(ficres,"%1d%1d ",i,k);
                   8017:          for(j=1; j <=ncovmodel; j++){
1.190     brouard  8018:            printf("%12.7f ",p[jk]);
                   8019:            fprintf(ficlog,"%12.7f ",p[jk]);
                   8020:            fprintf(ficres,"%12.7f ",p[jk]);
1.126     brouard  8021:            jk++; 
                   8022:          }
                   8023:          printf("\n");
                   8024:          fprintf(ficlog,"\n");
                   8025:          fprintf(ficres,"\n");
                   8026:        }
                   8027:       }
                   8028:     }
1.203     brouard  8029:     if(mle != 0){
                   8030:       /* Computing hessian and covariance matrix only at a peak of the Likelihood, that is after optimization */
1.126     brouard  8031:       ftolhess=ftol; /* Usually correct */
1.203     brouard  8032:       hesscov(matcov, hess, p, npar, delti, ftolhess, func);
                   8033:       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");
                   8034:       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");
                   8035:       for(i=1,jk=1; i <=nlstate; i++){
                   8036:        for(k=1; k <=(nlstate+ndeath); k++){
                   8037:          if (k != i) {
                   8038:            printf("%d%d ",i,k);
                   8039:            fprintf(ficlog,"%d%d ",i,k);
                   8040:            for(j=1; j <=ncovmodel; j++){
                   8041:              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]));
                   8042:              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]));
                   8043:              jk++; 
                   8044:            }
                   8045:            printf("\n");
                   8046:            fprintf(ficlog,"\n");
1.193     brouard  8047:          }
                   8048:        }
                   8049:       }
1.203     brouard  8050:     } /* end of hesscov and Wald tests */
1.193     brouard  8051: 
1.203     brouard  8052:     /*  */
1.126     brouard  8053:     fprintf(ficres,"# Scales (for hessian or gradient estimation)\n");
                   8054:     printf("# Scales (for hessian or gradient estimation)\n");
                   8055:     fprintf(ficlog,"# Scales (for hessian or gradient estimation)\n");
                   8056:     for(i=1,jk=1; i <=nlstate; i++){
                   8057:       for(j=1; j <=nlstate+ndeath; j++){
                   8058:        if (j!=i) {
                   8059:          fprintf(ficres,"%1d%1d",i,j);
                   8060:          printf("%1d%1d",i,j);
                   8061:          fprintf(ficlog,"%1d%1d",i,j);
                   8062:          for(k=1; k<=ncovmodel;k++){
                   8063:            printf(" %.5e",delti[jk]);
                   8064:            fprintf(ficlog," %.5e",delti[jk]);
                   8065:            fprintf(ficres," %.5e",delti[jk]);
                   8066:            jk++;
                   8067:          }
                   8068:          printf("\n");
                   8069:          fprintf(ficlog,"\n");
                   8070:          fprintf(ficres,"\n");
                   8071:        }
                   8072:       }
                   8073:     }
                   8074:     
                   8075:     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  8076:     if(mle >= 1) /* To big for the screen */
1.126     brouard  8077:       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");
                   8078:     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");
                   8079:     /* # 121 Var(a12)\n\ */
                   8080:     /* # 122 Cov(b12,a12) Var(b12)\n\ */
                   8081:     /* # 131 Cov(a13,a12) Cov(a13,b12, Var(a13)\n\ */
                   8082:     /* # 132 Cov(b13,a12) Cov(b13,b12, Cov(b13,a13) Var(b13)\n\ */
                   8083:     /* # 212 Cov(a21,a12) Cov(a21,b12, Cov(a21,a13) Cov(a21,b13) Var(a21)\n\ */
                   8084:     /* # 212 Cov(b21,a12) Cov(b21,b12, Cov(b21,a13) Cov(b21,b13) Cov(b21,a21) Var(b21)\n\ */
                   8085:     /* # 232 Cov(a23,a12) Cov(a23,b12, Cov(a23,a13) Cov(a23,b13) Cov(a23,a21) Cov(a23,b21) Var(a23)\n\ */
                   8086:     /* # 232 Cov(b23,a12) Cov(b23,b12) ... Var (b23)\n" */
                   8087:     
                   8088:     
                   8089:     /* Just to have a covariance matrix which will be more understandable
                   8090:        even is we still don't want to manage dictionary of variables
                   8091:     */
                   8092:     for(itimes=1;itimes<=2;itimes++){
                   8093:       jj=0;
                   8094:       for(i=1; i <=nlstate; i++){
                   8095:        for(j=1; j <=nlstate+ndeath; j++){
                   8096:          if(j==i) continue;
                   8097:          for(k=1; k<=ncovmodel;k++){
                   8098:            jj++;
                   8099:            ca[0]= k+'a'-1;ca[1]='\0';
                   8100:            if(itimes==1){
                   8101:              if(mle>=1)
                   8102:                printf("#%1d%1d%d",i,j,k);
                   8103:              fprintf(ficlog,"#%1d%1d%d",i,j,k);
                   8104:              fprintf(ficres,"#%1d%1d%d",i,j,k);
                   8105:            }else{
                   8106:              if(mle>=1)
                   8107:                printf("%1d%1d%d",i,j,k);
                   8108:              fprintf(ficlog,"%1d%1d%d",i,j,k);
                   8109:              fprintf(ficres,"%1d%1d%d",i,j,k);
                   8110:            }
                   8111:            ll=0;
                   8112:            for(li=1;li <=nlstate; li++){
                   8113:              for(lj=1;lj <=nlstate+ndeath; lj++){
                   8114:                if(lj==li) continue;
                   8115:                for(lk=1;lk<=ncovmodel;lk++){
                   8116:                  ll++;
                   8117:                  if(ll<=jj){
                   8118:                    cb[0]= lk +'a'-1;cb[1]='\0';
                   8119:                    if(ll<jj){
                   8120:                      if(itimes==1){
                   8121:                        if(mle>=1)
                   8122:                          printf(" Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   8123:                        fprintf(ficlog," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   8124:                        fprintf(ficres," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   8125:                      }else{
                   8126:                        if(mle>=1)
                   8127:                          printf(" %.5e",matcov[jj][ll]); 
                   8128:                        fprintf(ficlog," %.5e",matcov[jj][ll]); 
                   8129:                        fprintf(ficres," %.5e",matcov[jj][ll]); 
                   8130:                      }
                   8131:                    }else{
                   8132:                      if(itimes==1){
                   8133:                        if(mle>=1)
                   8134:                          printf(" Var(%s%1d%1d)",ca,i,j);
                   8135:                        fprintf(ficlog," Var(%s%1d%1d)",ca,i,j);
                   8136:                        fprintf(ficres," Var(%s%1d%1d)",ca,i,j);
                   8137:                      }else{
                   8138:                        if(mle>=1)
1.203     brouard  8139:                          printf(" %.7e",matcov[jj][ll]); 
                   8140:                        fprintf(ficlog," %.7e",matcov[jj][ll]); 
                   8141:                        fprintf(ficres," %.7e",matcov[jj][ll]); 
1.126     brouard  8142:                      }
                   8143:                    }
                   8144:                  }
                   8145:                } /* end lk */
                   8146:              } /* end lj */
                   8147:            } /* end li */
                   8148:            if(mle>=1)
                   8149:              printf("\n");
                   8150:            fprintf(ficlog,"\n");
                   8151:            fprintf(ficres,"\n");
                   8152:            numlinepar++;
                   8153:          } /* end k*/
                   8154:        } /*end j */
                   8155:       } /* end i */
                   8156:     } /* end itimes */
                   8157:     
                   8158:     fflush(ficlog);
                   8159:     fflush(ficres);
1.209     brouard  8160:       while(fgets(line, MAXLINE, ficpar)) {
                   8161:     /* If line starts with a # it is a comment */
                   8162:     if (line[0] == '#') {
                   8163:       numlinepar++;
1.141     brouard  8164:       fputs(line,stdout);
1.126     brouard  8165:       fputs(line,ficparo);
1.209     brouard  8166:       fputs(line,ficlog);
                   8167:       continue;
                   8168:     }else
                   8169:       break;
                   8170:   }
                   8171: 
                   8172:     /* while((c=getc(ficpar))=='#' && c!= EOF){ */
                   8173:     /*   ungetc(c,ficpar); */
                   8174:     /*   fgets(line, MAXLINE, ficpar); */
                   8175:     /*   fputs(line,stdout); */
                   8176:     /*   fputs(line,ficparo); */
                   8177:     /* } */
                   8178:     /* ungetc(c,ficpar); */
1.126     brouard  8179:     
                   8180:     estepm=0;
1.209     brouard  8181:     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){
                   8182: 
                   8183:     if (num_filled != 6) {
                   8184:       printf("Not 6 parameters in line, for example:agemin=60 agemax=95 bage=55 fage=95 estepm=24 ftolpl=6e-4\n");
                   8185:       printf("but line=%s\n",line);
                   8186:       goto end;
                   8187:     }
                   8188:     printf("agemin=%lf agemax=%lf bage=%lf fage=%lf estepm=%d ftolpl=%lf\n",ageminpar,agemaxpar, bage, fage, estepm, ftolpl);
                   8189:   }
                   8190:   /* ftolpl=6*ftol*1.e5; /\* 6.e-3 make convergences in less than 80 loops for the prevalence limit *\/ */
                   8191:   /*ftolpl=6.e-4;*/ /* 6.e-3 make convergences in less than 80 loops for the prevalence limit */
                   8192: 
                   8193:     /* fscanf(ficpar,"agemin=%lf agemax=%lf bage=%lf fage=%lf estepm=%d ftolpl=%\n",&ageminpar,&agemaxpar, &bage, &fage, &estepm); */
1.126     brouard  8194:     if (estepm==0 || estepm < stepm) estepm=stepm;
                   8195:     if (fage <= 2) {
                   8196:       bage = ageminpar;
                   8197:       fage = agemaxpar;
                   8198:     }
                   8199:     
                   8200:     fprintf(ficres,"# agemin agemax for life expectancy, bage fage (if mle==0 ie no data nor Max likelihood).\n");
1.211     brouard  8201:     fprintf(ficres,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d ftolpl=%e\n",ageminpar,agemaxpar,bage,fage, estepm, ftolpl);
                   8202:     fprintf(ficparo,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d, ftolpl=%e\n",ageminpar,agemaxpar,bage,fage, estepm, ftolpl);
1.186     brouard  8203: 
                   8204:     /* Other stuffs, more or less useful */    
1.126     brouard  8205:     while((c=getc(ficpar))=='#' && c!= EOF){
                   8206:       ungetc(c,ficpar);
                   8207:       fgets(line, MAXLINE, ficpar);
1.141     brouard  8208:       fputs(line,stdout);
1.126     brouard  8209:       fputs(line,ficparo);
                   8210:     }
                   8211:     ungetc(c,ficpar);
                   8212:     
                   8213:     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);
                   8214:     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);
                   8215:     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);
                   8216:     printf("begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf mov_average=%d\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,mobilav);
                   8217:     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);
                   8218:     
                   8219:     while((c=getc(ficpar))=='#' && c!= EOF){
                   8220:       ungetc(c,ficpar);
                   8221:       fgets(line, MAXLINE, ficpar);
1.141     brouard  8222:       fputs(line,stdout);
1.126     brouard  8223:       fputs(line,ficparo);
                   8224:     }
                   8225:     ungetc(c,ficpar);
                   8226:     
                   8227:     
                   8228:     dateprev1=anprev1+(mprev1-1)/12.+(jprev1-1)/365.;
                   8229:     dateprev2=anprev2+(mprev2-1)/12.+(jprev2-1)/365.;
                   8230:     
                   8231:     fscanf(ficpar,"pop_based=%d\n",&popbased);
1.193     brouard  8232:     fprintf(ficlog,"pop_based=%d\n",popbased);
1.126     brouard  8233:     fprintf(ficparo,"pop_based=%d\n",popbased);   
                   8234:     fprintf(ficres,"pop_based=%d\n",popbased);   
                   8235:     
                   8236:     while((c=getc(ficpar))=='#' && c!= EOF){
                   8237:       ungetc(c,ficpar);
                   8238:       fgets(line, MAXLINE, ficpar);
1.141     brouard  8239:       fputs(line,stdout);
1.126     brouard  8240:       fputs(line,ficparo);
                   8241:     }
                   8242:     ungetc(c,ficpar);
                   8243:     
                   8244:     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);
                   8245:     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);
                   8246:     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);
                   8247:     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);
                   8248:     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);
                   8249:     /* day and month of proj2 are not used but only year anproj2.*/
                   8250:     
                   8251:     
                   8252:     
1.145     brouard  8253:      /* freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint); */
                   8254:     /* ,dateprev1,dateprev2,jprev1, mprev1,anprev1,jprev2, mprev2,anprev2); */
1.126     brouard  8255:     
                   8256:     replace_back_to_slash(pathc,pathcd); /* Even gnuplot wants a / */
1.194     brouard  8257:     if(ageminpar == AGEOVERFLOW ||agemaxpar == -AGEOVERFLOW){
                   8258:        printf("Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
                   8259: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   8260: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
                   8261:        fprintf(ficlog,"Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
                   8262: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   8263: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
                   8264:     }else
1.211     brouard  8265:       printinggnuplot(fileresu, optionfilefiname,ageminpar,agemaxpar,fage, prevfcast, pathc,p);
1.126     brouard  8266:     
1.201     brouard  8267:     printinghtml(fileresu,title,datafile, firstpass, lastpass, stepm, weightopt,\
1.211     brouard  8268:                 model,imx,jmin,jmax,jmean,rfileres,popforecast,prevfcast,estepm, \
1.126     brouard  8269:                 jprev1,mprev1,anprev1,jprev2,mprev2,anprev2);
                   8270:       
                   8271:    /*------------ free_vector  -------------*/
                   8272:    /*  chdir(path); */
                   8273:  
                   8274:     free_ivector(wav,1,imx);
                   8275:     free_imatrix(dh,1,lastpass-firstpass+1,1,imx);
                   8276:     free_imatrix(bh,1,lastpass-firstpass+1,1,imx);
                   8277:     free_imatrix(mw,1,lastpass-firstpass+1,1,imx);   
                   8278:     free_lvector(num,1,n);
                   8279:     free_vector(agedc,1,n);
                   8280:     /*free_matrix(covar,0,NCOVMAX,1,n);*/
                   8281:     /*free_matrix(covar,1,NCOVMAX,1,n);*/
                   8282:     fclose(ficparo);
                   8283:     fclose(ficres);
                   8284: 
                   8285: 
1.186     brouard  8286:     /* Other results (useful)*/
                   8287: 
                   8288: 
1.126     brouard  8289:     /*--------------- Prevalence limit  (period or stable prevalence) --------------*/
1.180     brouard  8290:     /*#include "prevlim.h"*/  /* Use ficrespl, ficlog */
                   8291:     prlim=matrix(1,nlstate,1,nlstate);
1.209     brouard  8292:     prevalence_limit(p, prlim,  ageminpar, agemaxpar, ftolpl, &ncvyear);
1.126     brouard  8293:     fclose(ficrespl);
                   8294: 
1.145     brouard  8295: #ifdef FREEEXIT2
                   8296: #include "freeexit2.h"
                   8297: #endif
                   8298: 
1.126     brouard  8299:     /*------------- h Pij x at various ages ------------*/
1.180     brouard  8300:     /*#include "hpijx.h"*/
                   8301:     hPijx(p, bage, fage);
1.145     brouard  8302:     fclose(ficrespij);
1.126     brouard  8303: 
1.145     brouard  8304:   /*-------------- Variance of one-step probabilities---*/
                   8305:     k=1;
1.126     brouard  8306:     varprob(optionfilefiname, matcov, p, delti, nlstate, bage, fage,k,Tvar,nbcode, ncodemax,strstart);
                   8307: 
                   8308: 
                   8309:     probs= ma3x(1,AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   8310:     for(i=1;i<=AGESUP;i++)
                   8311:       for(j=1;j<=NCOVMAX;j++)
                   8312:        for(k=1;k<=NCOVMAX;k++)
                   8313:          probs[i][j][k]=0.;
                   8314: 
                   8315:     /*---------- Forecasting ------------------*/
                   8316:     /*if((stepm == 1) && (strcmp(model,".")==0)){*/
                   8317:     if(prevfcast==1){
                   8318:       /*    if(stepm ==1){*/
1.201     brouard  8319:       prevforecast(fileresu, anproj1, mproj1, jproj1, agemin, agemax, dateprev1, dateprev2, mobilavproj, bage, fage, firstpass, lastpass, anproj2, p, cptcoveff);
1.126     brouard  8320:       /* (popforecast==1) populforecast(fileres, anpyram,mpyram,jpyram, agemin,agemax, dateprev1, dateprev2,mobilav, agedeb, fage, popforecast, popfile, anpyram1,p, i1);*/
                   8321:       /*      }  */
                   8322:       /*      else{ */
                   8323:       /*        erreur=108; */
                   8324:       /*        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); */
                   8325:       /*        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); */
                   8326:       /*      } */
                   8327:     }
1.186     brouard  8328:  
                   8329:     /* ------ Other prevalence ratios------------ */
1.126     brouard  8330: 
1.127     brouard  8331:     /* Computes prevalence between agemin (i.e minimal age computed) and no more ageminpar */
                   8332: 
                   8333:     prevalence(probs, agemin, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass);
                   8334:     /*  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",\
                   8335:        ageminpar, agemax, s[lastpass][imx], agev[lastpass][imx], nlstate, imx, mint[lastpass][imx],anint[lastpass][imx], dateprev1, dateprev2, firstpass, lastpass);
                   8336:     */
1.126     brouard  8337: 
1.127     brouard  8338:     if (mobilav!=0) {
                   8339:       mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   8340:       if (movingaverage(probs, bage, fage, mobaverage,mobilav)!=0){
                   8341:        fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
                   8342:        printf(" Error in movingaverage mobilav=%d\n",mobilav);
                   8343:       }
1.126     brouard  8344:     }
                   8345: 
                   8346: 
1.127     brouard  8347:     /*---------- Health expectancies, no variances ------------*/
                   8348: 
1.201     brouard  8349:     strcpy(filerese,"E_");
                   8350:     strcat(filerese,fileresu);
1.126     brouard  8351:     if((ficreseij=fopen(filerese,"w"))==NULL) {
                   8352:       printf("Problem with Health Exp. resultfile: %s\n", filerese); exit(0);
                   8353:       fprintf(ficlog,"Problem with Health Exp. resultfile: %s\n", filerese); exit(0);
                   8354:     }
1.208     brouard  8355:     printf("Computing Health Expectancies: result on file '%s' ...", filerese);fflush(stdout);
                   8356:     fprintf(ficlog,"Computing Health Expectancies: result on file '%s' ...", filerese);fflush(ficlog);
1.145     brouard  8357:     /*for(cptcov=1,k=0;cptcov<=i1;cptcov++){
                   8358:       for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*/
                   8359:           
                   8360:     for (k=1; k <= (int) pow(2,cptcoveff); k++){
1.127     brouard  8361:        fprintf(ficreseij,"\n#****** ");
                   8362:        for(j=1;j<=cptcoveff;j++) {
1.200     brouard  8363:          fprintf(ficreseij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.127     brouard  8364:        }
                   8365:        fprintf(ficreseij,"******\n");
                   8366: 
                   8367:        eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
                   8368:        oldm=oldms;savm=savms;
                   8369:        evsij(eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k, estepm, strstart);  
                   8370:       
                   8371:        free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);
1.145     brouard  8372:       /*}*/
1.127     brouard  8373:     }
                   8374:     fclose(ficreseij);
1.208     brouard  8375:     printf("done evsij\n");fflush(stdout);
                   8376:     fprintf(ficlog,"done evsij\n");fflush(ficlog);
1.127     brouard  8377: 
                   8378:     /*---------- Health expectancies and variances ------------*/
                   8379: 
                   8380: 
1.201     brouard  8381:     strcpy(filerest,"T_");
                   8382:     strcat(filerest,fileresu);
1.127     brouard  8383:     if((ficrest=fopen(filerest,"w"))==NULL) {
                   8384:       printf("Problem with total LE resultfile: %s\n", filerest);goto end;
                   8385:       fprintf(ficlog,"Problem with total LE resultfile: %s\n", filerest);goto end;
                   8386:     }
1.208     brouard  8387:     printf("Computing Total Life expectancies with their standard errors: file '%s' ...\n", filerest); fflush(stdout);
                   8388:     fprintf(ficlog,"Computing Total Life expectancies with their standard errors: file '%s' ...\n", filerest); fflush(ficlog);
1.127     brouard  8389: 
1.126     brouard  8390: 
1.201     brouard  8391:     strcpy(fileresstde,"STDE_");
                   8392:     strcat(fileresstde,fileresu);
1.126     brouard  8393:     if((ficresstdeij=fopen(fileresstde,"w"))==NULL) {
                   8394:       printf("Problem with Health Exp. and std errors resultfile: %s\n", fileresstde); exit(0);
                   8395:       fprintf(ficlog,"Problem with Health Exp. and std errors resultfile: %s\n", fileresstde); exit(0);
                   8396:     }
1.208     brouard  8397:     printf("  Computing Health Expectancies and standard errors: result on file '%s' \n", fileresstde);
                   8398:     fprintf(ficlog,"  Computing Health Expectancies and standard errors: result on file '%s' \n", fileresstde);
1.126     brouard  8399: 
1.201     brouard  8400:     strcpy(filerescve,"CVE_");
                   8401:     strcat(filerescve,fileresu);
1.126     brouard  8402:     if((ficrescveij=fopen(filerescve,"w"))==NULL) {
                   8403:       printf("Problem with Covar. Health Exp. resultfile: %s\n", filerescve); exit(0);
                   8404:       fprintf(ficlog,"Problem with Covar. Health Exp. resultfile: %s\n", filerescve); exit(0);
                   8405:     }
1.208     brouard  8406:     printf("    Computing Covar. of Health Expectancies: result on file '%s' \n", filerescve);
                   8407:     fprintf(ficlog,"    Computing Covar. of Health Expectancies: result on file '%s' \n", filerescve);
1.126     brouard  8408: 
1.201     brouard  8409:     strcpy(fileresv,"V_");
                   8410:     strcat(fileresv,fileresu);
1.126     brouard  8411:     if((ficresvij=fopen(fileresv,"w"))==NULL) {
                   8412:       printf("Problem with variance resultfile: %s\n", fileresv);exit(0);
                   8413:       fprintf(ficlog,"Problem with variance resultfile: %s\n", fileresv);exit(0);
                   8414:     }
1.208     brouard  8415:     printf("      Computing Variance-covariance of DFLEs: file '%s' ... ", fileresv);fflush(stdout);
                   8416:     fprintf(ficlog,"      Computing Variance-covariance of DFLEs: file '%s' ... ", fileresv);fflush(ficlog);
1.126     brouard  8417: 
1.145     brouard  8418:     /*for(cptcov=1,k=0;cptcov<=i1;cptcov++){
                   8419:       for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*/
                   8420:           
                   8421:     for (k=1; k <= (int) pow(2,cptcoveff); k++){
1.208     brouard  8422:       fprintf(ficrest,"\n#****** ");
                   8423:       for(j=1;j<=cptcoveff;j++) 
                   8424:        fprintf(ficrest,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8425:       fprintf(ficrest,"******\n");
                   8426:       
                   8427:       fprintf(ficresstdeij,"\n#****** ");
                   8428:       fprintf(ficrescveij,"\n#****** ");
                   8429:       for(j=1;j<=cptcoveff;j++) {
                   8430:        fprintf(ficresstdeij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8431:        fprintf(ficrescveij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8432:       }
                   8433:       fprintf(ficresstdeij,"******\n");
                   8434:       fprintf(ficrescveij,"******\n");
                   8435:       
                   8436:       fprintf(ficresvij,"\n#****** ");
                   8437:       for(j=1;j<=cptcoveff;j++) 
                   8438:        fprintf(ficresvij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8439:       fprintf(ficresvij,"******\n");
                   8440:       
                   8441:       eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
                   8442:       oldm=oldms;savm=savms;
                   8443:       printf(" cvevsij %d, ",k);
                   8444:       fprintf(ficlog, " cvevsij %d, ",k);
                   8445:       cvevsij(eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k, estepm, delti, matcov, strstart);
                   8446:       printf(" end cvevsij \n ");
                   8447:       fprintf(ficlog, " end cvevsij \n ");
                   8448:       
                   8449:       /*
                   8450:        */
                   8451:       /* goto endfree; */
                   8452:       
                   8453:       vareij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
                   8454:       pstamp(ficrest);
                   8455:       
                   8456:       
                   8457:       for(vpopbased=0; vpopbased <= popbased; vpopbased++){ /* Done for vpopbased=0 and vpopbased=1 if popbased==1*/
                   8458:        oldm=oldms;savm=savms; /* ZZ Segmentation fault */
                   8459:        cptcod= 0; /* To be deleted */
                   8460:        printf("varevsij %d \n",vpopbased);
                   8461:        fprintf(ficlog, "varevsij %d \n",vpopbased);
1.209     brouard  8462:        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 */
1.208     brouard  8463:        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 ");
                   8464:        if(vpopbased==1)
                   8465:          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);
                   8466:        else
                   8467:          fprintf(ficrest,"the age specific period (stable) prevalences in each health state \n");
                   8468:        fprintf(ficrest,"# Age popbased mobilav e.. (std) ");
                   8469:        for (i=1;i<=nlstate;i++) fprintf(ficrest,"e.%d (std) ",i);
                   8470:        fprintf(ficrest,"\n");
                   8471:        /* printf("Which p?\n"); for(i=1;i<=npar;i++)printf("p[i=%d]=%lf,",i,p[i]);printf("\n"); */
                   8472:        epj=vector(1,nlstate+1);
                   8473:        printf("Computing age specific period (stable) prevalences in each health state \n");
                   8474:        fprintf(ficlog,"Computing age specific period (stable) prevalences in each health state \n");
                   8475:        for(age=bage; age <=fage ;age++){
1.209     brouard  8476:          prevalim(prlim, nlstate, p, age, oldm, savm, ftolpl, &ncvyear, k); /*ZZ Is it the correct prevalim */
1.208     brouard  8477:          if (vpopbased==1) {
                   8478:            if(mobilav ==0){
                   8479:              for(i=1; i<=nlstate;i++)
                   8480:                prlim[i][i]=probs[(int)age][i][k];
                   8481:            }else{ /* mobilav */ 
                   8482:              for(i=1; i<=nlstate;i++)
                   8483:                prlim[i][i]=mobaverage[(int)age][i][k];
1.126     brouard  8484:            }
1.208     brouard  8485:          }
                   8486:          
                   8487:          fprintf(ficrest," %4.0f %d %d",age, vpopbased, mobilav);
                   8488:          /* fprintf(ficrest," %4.0f %d %d %d %d",age, vpopbased, mobilav,Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]); */ /* to be done */
                   8489:          /* printf(" age %4.0f ",age); */
                   8490:          for(j=1, epj[nlstate+1]=0.;j <=nlstate;j++){
                   8491:            for(i=1, epj[j]=0.;i <=nlstate;i++) {
                   8492:              epj[j] += prlim[i][i]*eij[i][j][(int)age];
                   8493:              /*ZZZ  printf("%lf %lf ", prlim[i][i] ,eij[i][j][(int)age]);*/
                   8494:              /* printf("%lf %lf ", prlim[i][i] ,eij[i][j][(int)age]); */
1.126     brouard  8495:            }
1.208     brouard  8496:            epj[nlstate+1] +=epj[j];
                   8497:          }
                   8498:          /* printf(" age %4.0f \n",age); */
                   8499:          
                   8500:          for(i=1, vepp=0.;i <=nlstate;i++)
                   8501:            for(j=1;j <=nlstate;j++)
                   8502:              vepp += vareij[i][j][(int)age];
                   8503:          fprintf(ficrest," %7.3f (%7.3f)", epj[nlstate+1],sqrt(vepp));
                   8504:          for(j=1;j <=nlstate;j++){
                   8505:            fprintf(ficrest," %7.3f (%7.3f)", epj[j],sqrt(vareij[j][j][(int)age]));
1.126     brouard  8506:          }
1.208     brouard  8507:          fprintf(ficrest,"\n");
1.126     brouard  8508:        }
1.208     brouard  8509:       } /* End vpopbased */
                   8510:       free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);
                   8511:       free_ma3x(vareij,1,nlstate,1,nlstate,(int) bage, (int)fage);
                   8512:       free_vector(epj,1,nlstate+1);
                   8513:       printf("done \n");fflush(stdout);
                   8514:       fprintf(ficlog,"done\n");fflush(ficlog);
                   8515:       
1.145     brouard  8516:       /*}*/
1.208     brouard  8517:     } /* End k */
1.126     brouard  8518:     free_vector(weight,1,n);
1.145     brouard  8519:     free_imatrix(Tvard,1,NCOVMAX,1,2);
1.126     brouard  8520:     free_imatrix(s,1,maxwav+1,1,n);
                   8521:     free_matrix(anint,1,maxwav,1,n); 
                   8522:     free_matrix(mint,1,maxwav,1,n);
                   8523:     free_ivector(cod,1,n);
                   8524:     free_ivector(tab,1,NCOVMAX);
                   8525:     fclose(ficresstdeij);
                   8526:     fclose(ficrescveij);
                   8527:     fclose(ficresvij);
                   8528:     fclose(ficrest);
1.208     brouard  8529:     printf("done Health expectancies\n");fflush(stdout);
                   8530:     fprintf(ficlog,"done Health expectancies\n");fflush(ficlog);
1.126     brouard  8531:     fclose(ficpar);
                   8532:   
                   8533:     /*------- Variance of period (stable) prevalence------*/   
                   8534: 
1.201     brouard  8535:     strcpy(fileresvpl,"VPL_");
                   8536:     strcat(fileresvpl,fileresu);
1.126     brouard  8537:     if((ficresvpl=fopen(fileresvpl,"w"))==NULL) {
                   8538:       printf("Problem with variance of period (stable) prevalence  resultfile: %s\n", fileresvpl);
                   8539:       exit(0);
                   8540:     }
1.208     brouard  8541:     printf("Computing Variance-covariance of period (stable) prevalence: file '%s' ...", fileresvpl);fflush(stdout);
                   8542:     fprintf(ficlog, "Computing Variance-covariance of period (stable) prevalence: file '%s' ...", fileresvpl);fflush(ficlog);
1.126     brouard  8543: 
1.145     brouard  8544:     /*for(cptcov=1,k=0;cptcov<=i1;cptcov++){
                   8545:       for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*/
                   8546:           
                   8547:     for (k=1; k <= (int) pow(2,cptcoveff); k++){
                   8548:        fprintf(ficresvpl,"\n#****** ");
1.126     brouard  8549:        for(j=1;j<=cptcoveff;j++) 
1.200     brouard  8550:          fprintf(ficresvpl,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.126     brouard  8551:        fprintf(ficresvpl,"******\n");
                   8552:       
                   8553:        varpl=matrix(1,nlstate,(int) bage, (int) fage);
                   8554:        oldm=oldms;savm=savms;
1.209     brouard  8555:        varprevlim(fileres, varpl, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl, &ncvyear, k, strstart);
1.126     brouard  8556:        free_matrix(varpl,1,nlstate,(int) bage, (int)fage);
1.145     brouard  8557:       /*}*/
1.126     brouard  8558:     }
                   8559: 
                   8560:     fclose(ficresvpl);
1.208     brouard  8561:     printf("done variance-covariance of period prevalence\n");fflush(stdout);
                   8562:     fprintf(ficlog,"done variance-covariance of period prevalence\n");fflush(ficlog);
1.126     brouard  8563: 
                   8564:     /*---------- End : free ----------------*/
                   8565:     if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   8566:     free_ma3x(probs,1,AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   8567:   }  /* mle==-3 arrives here for freeing */
1.164     brouard  8568:  /* endfree:*/
1.141     brouard  8569:     free_matrix(prlim,1,nlstate,1,nlstate); /*here or after loop ? */
1.126     brouard  8570:     free_matrix(pmmij,1,nlstate+ndeath,1,nlstate+ndeath);
                   8571:     free_matrix(oldms, 1,nlstate+ndeath,1,nlstate+ndeath);
                   8572:     free_matrix(newms, 1,nlstate+ndeath,1,nlstate+ndeath);
                   8573:     free_matrix(savms, 1,nlstate+ndeath,1,nlstate+ndeath);
                   8574:     free_matrix(covar,0,NCOVMAX,1,n);
                   8575:     free_matrix(matcov,1,npar,1,npar);
1.203     brouard  8576:     free_matrix(hess,1,npar,1,npar);
1.126     brouard  8577:     /*free_vector(delti,1,npar);*/
                   8578:     free_ma3x(delti3,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel); 
                   8579:     free_matrix(agev,1,maxwav,1,imx);
                   8580:     free_ma3x(param,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel);
                   8581: 
1.145     brouard  8582:     free_ivector(ncodemax,1,NCOVMAX);
1.192     brouard  8583:     free_ivector(ncodemaxwundef,1,NCOVMAX);
1.145     brouard  8584:     free_ivector(Tvar,1,NCOVMAX);
                   8585:     free_ivector(Tprod,1,NCOVMAX);
                   8586:     free_ivector(Tvaraff,1,NCOVMAX);
                   8587:     free_ivector(Tage,1,NCOVMAX);
1.126     brouard  8588: 
                   8589:     free_imatrix(nbcode,0,NCOVMAX,0,NCOVMAX);
1.200     brouard  8590:     /* free_imatrix(codtab,1,100,1,10); */
1.126     brouard  8591:   fflush(fichtm);
                   8592:   fflush(ficgp);
                   8593:   
                   8594: 
                   8595:   if((nberr >0) || (nbwarn>0)){
                   8596:     printf("End of Imach with %d errors and/or %d warnings\n",nberr,nbwarn);
                   8597:     fprintf(ficlog,"End of Imach with %d errors and/or warnings %d\n",nberr,nbwarn);
                   8598:   }else{
                   8599:     printf("End of Imach\n");
                   8600:     fprintf(ficlog,"End of Imach\n");
                   8601:   }
                   8602:   printf("See log file on %s\n",filelog);
                   8603:   /*  gettimeofday(&end_time, (struct timezone*)0);*/  /* after time */
1.157     brouard  8604:   /*(void) gettimeofday(&end_time,&tzp);*/
                   8605:   rend_time = time(NULL);  
                   8606:   end_time = *localtime(&rend_time);
                   8607:   /* tml = *localtime(&end_time.tm_sec); */
                   8608:   strcpy(strtend,asctime(&end_time));
1.126     brouard  8609:   printf("Local time at start %s\nLocal time at end   %s",strstart, strtend); 
                   8610:   fprintf(ficlog,"Local time at start %s\nLocal time at end   %s\n",strstart, strtend); 
1.157     brouard  8611:   printf("Total time used %s\n", asc_diff_time(rend_time -rstart_time,tmpout));
1.126     brouard  8612: 
1.157     brouard  8613:   printf("Total time was %.0lf Sec.\n", difftime(rend_time,rstart_time));
                   8614:   fprintf(ficlog,"Total time used %s\n", asc_diff_time(rend_time -rstart_time,tmpout));
                   8615:   fprintf(ficlog,"Total time was %.0lf Sec.\n", difftime(rend_time,rstart_time));
1.126     brouard  8616:   /*  printf("Total time was %d uSec.\n", total_usecs);*/
                   8617: /*   if(fileappend(fichtm,optionfilehtm)){ */
                   8618:   fprintf(fichtm,"<br>Local time at start %s<br>Local time at end   %s<br>\n</body></html>",strstart, strtend);
                   8619:   fclose(fichtm);
                   8620:   fprintf(fichtmcov,"<br>Local time at start %s<br>Local time at end   %s<br>\n</body></html>",strstart, strtend);
                   8621:   fclose(fichtmcov);
                   8622:   fclose(ficgp);
                   8623:   fclose(ficlog);
                   8624:   /*------ End -----------*/
                   8625: 
                   8626: 
                   8627:    printf("Before Current directory %s!\n",pathcd);
1.184     brouard  8628: #ifdef WIN32
                   8629:    if (_chdir(pathcd) != 0)
                   8630:           printf("Can't move to directory %s!\n",path);
                   8631:    if(_getcwd(pathcd,MAXLINE) > 0)
                   8632: #else
1.126     brouard  8633:    if(chdir(pathcd) != 0)
1.184     brouard  8634:           printf("Can't move to directory %s!\n", path);
                   8635:    if (getcwd(pathcd, MAXLINE) > 0)
                   8636: #endif 
1.126     brouard  8637:     printf("Current directory %s!\n",pathcd);
                   8638:   /*strcat(plotcmd,CHARSEPARATOR);*/
                   8639:   sprintf(plotcmd,"gnuplot");
1.157     brouard  8640: #ifdef _WIN32
1.126     brouard  8641:   sprintf(plotcmd,"\"%sgnuplot.exe\"",pathimach);
                   8642: #endif
                   8643:   if(!stat(plotcmd,&info)){
1.158     brouard  8644:     printf("Error or gnuplot program not found: '%s'\n",plotcmd);fflush(stdout);
1.126     brouard  8645:     if(!stat(getenv("GNUPLOTBIN"),&info)){
1.158     brouard  8646:       printf("Error or gnuplot program not found: '%s' Environment GNUPLOTBIN not set.\n",plotcmd);fflush(stdout);
1.126     brouard  8647:     }else
                   8648:       strcpy(pplotcmd,plotcmd);
1.157     brouard  8649: #ifdef __unix
1.126     brouard  8650:     strcpy(plotcmd,GNUPLOTPROGRAM);
                   8651:     if(!stat(plotcmd,&info)){
1.158     brouard  8652:       printf("Error gnuplot program not found: '%s'\n",plotcmd);fflush(stdout);
1.126     brouard  8653:     }else
                   8654:       strcpy(pplotcmd,plotcmd);
                   8655: #endif
                   8656:   }else
                   8657:     strcpy(pplotcmd,plotcmd);
                   8658:   
                   8659:   sprintf(plotcmd,"%s %s",pplotcmd, optionfilegnuplot);
1.158     brouard  8660:   printf("Starting graphs with: '%s'\n",plotcmd);fflush(stdout);
1.126     brouard  8661: 
                   8662:   if((outcmd=system(plotcmd)) != 0){
1.158     brouard  8663:     printf("gnuplot command might not be in your path: '%s', err=%d\n", plotcmd, outcmd);
1.154     brouard  8664:     printf("\n Trying if gnuplot resides on the same directory that IMaCh\n");
1.152     brouard  8665:     sprintf(plotcmd,"%sgnuplot %s", pathimach, optionfilegnuplot);
1.150     brouard  8666:     if((outcmd=system(plotcmd)) != 0)
1.153     brouard  8667:       printf("\n Still a problem with gnuplot command %s, err=%d\n", plotcmd, outcmd);
1.126     brouard  8668:   }
1.158     brouard  8669:   printf(" Successful, please wait...");
1.126     brouard  8670:   while (z[0] != 'q') {
                   8671:     /* chdir(path); */
1.154     brouard  8672:     printf("\nType e to edit results with your browser, g to graph again and q for exit: ");
1.126     brouard  8673:     scanf("%s",z);
                   8674: /*     if (z[0] == 'c') system("./imach"); */
                   8675:     if (z[0] == 'e') {
1.158     brouard  8676: #ifdef __APPLE__
1.152     brouard  8677:       sprintf(pplotcmd, "open %s", optionfilehtm);
1.157     brouard  8678: #elif __linux
                   8679:       sprintf(pplotcmd, "xdg-open %s", optionfilehtm);
1.153     brouard  8680: #else
1.152     brouard  8681:       sprintf(pplotcmd, "%s", optionfilehtm);
1.153     brouard  8682: #endif
                   8683:       printf("Starting browser with: %s",pplotcmd);fflush(stdout);
                   8684:       system(pplotcmd);
1.126     brouard  8685:     }
                   8686:     else if (z[0] == 'g') system(plotcmd);
                   8687:     else if (z[0] == 'q') exit(0);
                   8688:   }
                   8689:   end:
                   8690:   while (z[0] != 'q') {
1.195     brouard  8691:     printf("\nType  q for exiting: "); fflush(stdout);
1.126     brouard  8692:     scanf("%s",z);
                   8693:   }
                   8694: }

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