Annotation of imach/src/imach.c, revision 1.229

1.229   ! brouard     1: /* $Id: imach.c,v 1.228 2016/07/22 17:45:30 brouard Exp $
1.126     brouard     2:   $State: Exp $
1.163     brouard     3:   $Log: imach.c,v $
1.229   ! brouard     4:   Revision 1.228  2016/07/22 17:45:30  brouard
        !             5:   Summary: Fixing some arrays, still debugging
        !             6: 
1.227     brouard     7:   Revision 1.226  2016/07/12 18:42:34  brouard
                      8:   Summary: temp
                      9: 
1.226     brouard    10:   Revision 1.225  2016/07/12 08:40:03  brouard
                     11:   Summary: saving but not running
                     12: 
1.225     brouard    13:   Revision 1.224  2016/07/01 13:16:01  brouard
                     14:   Summary: Fixes
                     15: 
1.224     brouard    16:   Revision 1.223  2016/02/19 09:23:35  brouard
                     17:   Summary: temporary
                     18: 
1.223     brouard    19:   Revision 1.222  2016/02/17 08:14:50  brouard
                     20:   Summary: Probably last 0.98 stable version 0.98r6
                     21: 
1.222     brouard    22:   Revision 1.221  2016/02/15 23:35:36  brouard
                     23:   Summary: minor bug
                     24: 
1.220     brouard    25:   Revision 1.219  2016/02/15 00:48:12  brouard
                     26:   *** empty log message ***
                     27: 
1.219     brouard    28:   Revision 1.218  2016/02/12 11:29:23  brouard
                     29:   Summary: 0.99 Back projections
                     30: 
1.218     brouard    31:   Revision 1.217  2015/12/23 17:18:31  brouard
                     32:   Summary: Experimental backcast
                     33: 
1.217     brouard    34:   Revision 1.216  2015/12/18 17:32:11  brouard
                     35:   Summary: 0.98r4 Warning and status=-2
                     36: 
                     37:   Version 0.98r4 is now:
                     38:    - displaying an error when status is -1, date of interview unknown and date of death known;
                     39:    - permitting a status -2 when the vital status is unknown at a known date of right truncation.
                     40:   Older changes concerning s=-2, dating from 2005 have been supersed.
                     41: 
1.216     brouard    42:   Revision 1.215  2015/12/16 08:52:24  brouard
                     43:   Summary: 0.98r4 working
                     44: 
1.215     brouard    45:   Revision 1.214  2015/12/16 06:57:54  brouard
                     46:   Summary: temporary not working
                     47: 
1.214     brouard    48:   Revision 1.213  2015/12/11 18:22:17  brouard
                     49:   Summary: 0.98r4
                     50: 
1.213     brouard    51:   Revision 1.212  2015/11/21 12:47:24  brouard
                     52:   Summary: minor typo
                     53: 
1.212     brouard    54:   Revision 1.211  2015/11/21 12:41:11  brouard
                     55:   Summary: 0.98r3 with some graph of projected cross-sectional
                     56: 
                     57:   Author: Nicolas Brouard
                     58: 
1.211     brouard    59:   Revision 1.210  2015/11/18 17:41:20  brouard
                     60:   Summary: Start working on projected prevalences
                     61: 
1.210     brouard    62:   Revision 1.209  2015/11/17 22:12:03  brouard
                     63:   Summary: Adding ftolpl parameter
                     64:   Author: N Brouard
                     65: 
                     66:   We had difficulties to get smoothed confidence intervals. It was due
                     67:   to the period prevalence which wasn't computed accurately. The inner
                     68:   parameter ftolpl is now an outer parameter of the .imach parameter
                     69:   file after estepm. If ftolpl is small 1.e-4 and estepm too,
                     70:   computation are long.
                     71: 
1.209     brouard    72:   Revision 1.208  2015/11/17 14:31:57  brouard
                     73:   Summary: temporary
                     74: 
1.208     brouard    75:   Revision 1.207  2015/10/27 17:36:57  brouard
                     76:   *** empty log message ***
                     77: 
1.207     brouard    78:   Revision 1.206  2015/10/24 07:14:11  brouard
                     79:   *** empty log message ***
                     80: 
1.206     brouard    81:   Revision 1.205  2015/10/23 15:50:53  brouard
                     82:   Summary: 0.98r3 some clarification for graphs on likelihood contributions
                     83: 
1.205     brouard    84:   Revision 1.204  2015/10/01 16:20:26  brouard
                     85:   Summary: Some new graphs of contribution to likelihood
                     86: 
1.204     brouard    87:   Revision 1.203  2015/09/30 17:45:14  brouard
                     88:   Summary: looking at better estimation of the hessian
                     89: 
                     90:   Also a better criteria for convergence to the period prevalence And
                     91:   therefore adding the number of years needed to converge. (The
                     92:   prevalence in any alive state shold sum to one
                     93: 
1.203     brouard    94:   Revision 1.202  2015/09/22 19:45:16  brouard
                     95:   Summary: Adding some overall graph on contribution to likelihood. Might change
                     96: 
1.202     brouard    97:   Revision 1.201  2015/09/15 17:34:58  brouard
                     98:   Summary: 0.98r0
                     99: 
                    100:   - Some new graphs like suvival functions
                    101:   - Some bugs fixed like model=1+age+V2.
                    102: 
1.201     brouard   103:   Revision 1.200  2015/09/09 16:53:55  brouard
                    104:   Summary: Big bug thanks to Flavia
                    105: 
                    106:   Even model=1+age+V2. did not work anymore
                    107: 
1.200     brouard   108:   Revision 1.199  2015/09/07 14:09:23  brouard
                    109:   Summary: 0.98q6 changing default small png format for graph to vectorized svg.
                    110: 
1.199     brouard   111:   Revision 1.198  2015/09/03 07:14:39  brouard
                    112:   Summary: 0.98q5 Flavia
                    113: 
1.198     brouard   114:   Revision 1.197  2015/09/01 18:24:39  brouard
                    115:   *** empty log message ***
                    116: 
1.197     brouard   117:   Revision 1.196  2015/08/18 23:17:52  brouard
                    118:   Summary: 0.98q5
                    119: 
1.196     brouard   120:   Revision 1.195  2015/08/18 16:28:39  brouard
                    121:   Summary: Adding a hack for testing purpose
                    122: 
                    123:   After reading the title, ftol and model lines, if the comment line has
                    124:   a q, starting with #q, the answer at the end of the run is quit. It
                    125:   permits to run test files in batch with ctest. The former workaround was
                    126:   $ echo q | imach foo.imach
                    127: 
1.195     brouard   128:   Revision 1.194  2015/08/18 13:32:00  brouard
                    129:   Summary:  Adding error when the covariance matrix doesn't contain the exact number of lines required by the model line.
                    130: 
1.194     brouard   131:   Revision 1.193  2015/08/04 07:17:42  brouard
                    132:   Summary: 0.98q4
                    133: 
1.193     brouard   134:   Revision 1.192  2015/07/16 16:49:02  brouard
                    135:   Summary: Fixing some outputs
                    136: 
1.192     brouard   137:   Revision 1.191  2015/07/14 10:00:33  brouard
                    138:   Summary: Some fixes
                    139: 
1.191     brouard   140:   Revision 1.190  2015/05/05 08:51:13  brouard
                    141:   Summary: Adding digits in output parameters (7 digits instead of 6)
                    142: 
                    143:   Fix 1+age+.
                    144: 
1.190     brouard   145:   Revision 1.189  2015/04/30 14:45:16  brouard
                    146:   Summary: 0.98q2
                    147: 
1.189     brouard   148:   Revision 1.188  2015/04/30 08:27:53  brouard
                    149:   *** empty log message ***
                    150: 
1.188     brouard   151:   Revision 1.187  2015/04/29 09:11:15  brouard
                    152:   *** empty log message ***
                    153: 
1.187     brouard   154:   Revision 1.186  2015/04/23 12:01:52  brouard
                    155:   Summary: V1*age is working now, version 0.98q1
                    156: 
                    157:   Some codes had been disabled in order to simplify and Vn*age was
                    158:   working in the optimization phase, ie, giving correct MLE parameters,
                    159:   but, as usual, outputs were not correct and program core dumped.
                    160: 
1.186     brouard   161:   Revision 1.185  2015/03/11 13:26:42  brouard
                    162:   Summary: Inclusion of compile and links command line for Intel Compiler
                    163: 
1.185     brouard   164:   Revision 1.184  2015/03/11 11:52:39  brouard
                    165:   Summary: Back from Windows 8. Intel Compiler
                    166: 
1.184     brouard   167:   Revision 1.183  2015/03/10 20:34:32  brouard
                    168:   Summary: 0.98q0, trying with directest, mnbrak fixed
                    169: 
                    170:   We use directest instead of original Powell test; probably no
                    171:   incidence on the results, but better justifications;
                    172:   We fixed Numerical Recipes mnbrak routine which was wrong and gave
                    173:   wrong results.
                    174: 
1.183     brouard   175:   Revision 1.182  2015/02/12 08:19:57  brouard
                    176:   Summary: Trying to keep directest which seems simpler and more general
                    177:   Author: Nicolas Brouard
                    178: 
1.182     brouard   179:   Revision 1.181  2015/02/11 23:22:24  brouard
                    180:   Summary: Comments on Powell added
                    181: 
                    182:   Author:
                    183: 
1.181     brouard   184:   Revision 1.180  2015/02/11 17:33:45  brouard
                    185:   Summary: Finishing move from main to function (hpijx and prevalence_limit)
                    186: 
1.180     brouard   187:   Revision 1.179  2015/01/04 09:57:06  brouard
                    188:   Summary: back to OS/X
                    189: 
1.179     brouard   190:   Revision 1.178  2015/01/04 09:35:48  brouard
                    191:   *** empty log message ***
                    192: 
1.178     brouard   193:   Revision 1.177  2015/01/03 18:40:56  brouard
                    194:   Summary: Still testing ilc32 on OSX
                    195: 
1.177     brouard   196:   Revision 1.176  2015/01/03 16:45:04  brouard
                    197:   *** empty log message ***
                    198: 
1.176     brouard   199:   Revision 1.175  2015/01/03 16:33:42  brouard
                    200:   *** empty log message ***
                    201: 
1.175     brouard   202:   Revision 1.174  2015/01/03 16:15:49  brouard
                    203:   Summary: Still in cross-compilation
                    204: 
1.174     brouard   205:   Revision 1.173  2015/01/03 12:06:26  brouard
                    206:   Summary: trying to detect cross-compilation
                    207: 
1.173     brouard   208:   Revision 1.172  2014/12/27 12:07:47  brouard
                    209:   Summary: Back from Visual Studio and Intel, options for compiling for Windows XP
                    210: 
1.172     brouard   211:   Revision 1.171  2014/12/23 13:26:59  brouard
                    212:   Summary: Back from Visual C
                    213: 
                    214:   Still problem with utsname.h on Windows
                    215: 
1.171     brouard   216:   Revision 1.170  2014/12/23 11:17:12  brouard
                    217:   Summary: Cleaning some \%% back to %%
                    218: 
                    219:   The escape was mandatory for a specific compiler (which one?), but too many warnings.
                    220: 
1.170     brouard   221:   Revision 1.169  2014/12/22 23:08:31  brouard
                    222:   Summary: 0.98p
                    223: 
                    224:   Outputs some informations on compiler used, OS etc. Testing on different platforms.
                    225: 
1.169     brouard   226:   Revision 1.168  2014/12/22 15:17:42  brouard
1.170     brouard   227:   Summary: update
1.169     brouard   228: 
1.168     brouard   229:   Revision 1.167  2014/12/22 13:50:56  brouard
                    230:   Summary: Testing uname and compiler version and if compiled 32 or 64
                    231: 
                    232:   Testing on Linux 64
                    233: 
1.167     brouard   234:   Revision 1.166  2014/12/22 11:40:47  brouard
                    235:   *** empty log message ***
                    236: 
1.166     brouard   237:   Revision 1.165  2014/12/16 11:20:36  brouard
                    238:   Summary: After compiling on Visual C
                    239: 
                    240:   * imach.c (Module): Merging 1.61 to 1.162
                    241: 
1.165     brouard   242:   Revision 1.164  2014/12/16 10:52:11  brouard
                    243:   Summary: Merging with Visual C after suppressing some warnings for unused variables. Also fixing Saito's bug 0.98Xn
                    244: 
                    245:   * imach.c (Module): Merging 1.61 to 1.162
                    246: 
1.164     brouard   247:   Revision 1.163  2014/12/16 10:30:11  brouard
                    248:   * imach.c (Module): Merging 1.61 to 1.162
                    249: 
1.163     brouard   250:   Revision 1.162  2014/09/25 11:43:39  brouard
                    251:   Summary: temporary backup 0.99!
                    252: 
1.162     brouard   253:   Revision 1.1  2014/09/16 11:06:58  brouard
                    254:   Summary: With some code (wrong) for nlopt
                    255: 
                    256:   Author:
                    257: 
                    258:   Revision 1.161  2014/09/15 20:41:41  brouard
                    259:   Summary: Problem with macro SQR on Intel compiler
                    260: 
1.161     brouard   261:   Revision 1.160  2014/09/02 09:24:05  brouard
                    262:   *** empty log message ***
                    263: 
1.160     brouard   264:   Revision 1.159  2014/09/01 10:34:10  brouard
                    265:   Summary: WIN32
                    266:   Author: Brouard
                    267: 
1.159     brouard   268:   Revision 1.158  2014/08/27 17:11:51  brouard
                    269:   *** empty log message ***
                    270: 
1.158     brouard   271:   Revision 1.157  2014/08/27 16:26:55  brouard
                    272:   Summary: Preparing windows Visual studio version
                    273:   Author: Brouard
                    274: 
                    275:   In order to compile on Visual studio, time.h is now correct and time_t
                    276:   and tm struct should be used. difftime should be used but sometimes I
                    277:   just make the differences in raw time format (time(&now).
                    278:   Trying to suppress #ifdef LINUX
                    279:   Add xdg-open for __linux in order to open default browser.
                    280: 
1.157     brouard   281:   Revision 1.156  2014/08/25 20:10:10  brouard
                    282:   *** empty log message ***
                    283: 
1.156     brouard   284:   Revision 1.155  2014/08/25 18:32:34  brouard
                    285:   Summary: New compile, minor changes
                    286:   Author: Brouard
                    287: 
1.155     brouard   288:   Revision 1.154  2014/06/20 17:32:08  brouard
                    289:   Summary: Outputs now all graphs of convergence to period prevalence
                    290: 
1.154     brouard   291:   Revision 1.153  2014/06/20 16:45:46  brouard
                    292:   Summary: If 3 live state, convergence to period prevalence on same graph
                    293:   Author: Brouard
                    294: 
1.153     brouard   295:   Revision 1.152  2014/06/18 17:54:09  brouard
                    296:   Summary: open browser, use gnuplot on same dir than imach if not found in the path
                    297: 
1.152     brouard   298:   Revision 1.151  2014/06/18 16:43:30  brouard
                    299:   *** empty log message ***
                    300: 
1.151     brouard   301:   Revision 1.150  2014/06/18 16:42:35  brouard
                    302:   Summary: If gnuplot is not in the path try on same directory than imach binary (OSX)
                    303:   Author: brouard
                    304: 
1.150     brouard   305:   Revision 1.149  2014/06/18 15:51:14  brouard
                    306:   Summary: Some fixes in parameter files errors
                    307:   Author: Nicolas Brouard
                    308: 
1.149     brouard   309:   Revision 1.148  2014/06/17 17:38:48  brouard
                    310:   Summary: Nothing new
                    311:   Author: Brouard
                    312: 
                    313:   Just a new packaging for OS/X version 0.98nS
                    314: 
1.148     brouard   315:   Revision 1.147  2014/06/16 10:33:11  brouard
                    316:   *** empty log message ***
                    317: 
1.147     brouard   318:   Revision 1.146  2014/06/16 10:20:28  brouard
                    319:   Summary: Merge
                    320:   Author: Brouard
                    321: 
                    322:   Merge, before building revised version.
                    323: 
1.146     brouard   324:   Revision 1.145  2014/06/10 21:23:15  brouard
                    325:   Summary: Debugging with valgrind
                    326:   Author: Nicolas Brouard
                    327: 
                    328:   Lot of changes in order to output the results with some covariates
                    329:   After the Edimburgh REVES conference 2014, it seems mandatory to
                    330:   improve the code.
                    331:   No more memory valgrind error but a lot has to be done in order to
                    332:   continue the work of splitting the code into subroutines.
                    333:   Also, decodemodel has been improved. Tricode is still not
                    334:   optimal. nbcode should be improved. Documentation has been added in
                    335:   the source code.
                    336: 
1.144     brouard   337:   Revision 1.143  2014/01/26 09:45:38  brouard
                    338:   Summary: Version 0.98nR (to be improved, but gives same optimization results as 0.98k. Nice, promising
                    339: 
                    340:   * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
                    341:   (Module): Version 0.98nR Running ok, but output format still only works for three covariates.
                    342: 
1.143     brouard   343:   Revision 1.142  2014/01/26 03:57:36  brouard
                    344:   Summary: gnuplot changed plot w l 1 has to be changed to plot w l lt 2
                    345: 
                    346:   * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
                    347: 
1.142     brouard   348:   Revision 1.141  2014/01/26 02:42:01  brouard
                    349:   * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
                    350: 
1.141     brouard   351:   Revision 1.140  2011/09/02 10:37:54  brouard
                    352:   Summary: times.h is ok with mingw32 now.
                    353: 
1.140     brouard   354:   Revision 1.139  2010/06/14 07:50:17  brouard
                    355:   After the theft of my laptop, I probably lost some lines of codes which were not uploaded to the CVS tree.
                    356:   I remember having already fixed agemin agemax which are pointers now but not cvs saved.
                    357: 
1.139     brouard   358:   Revision 1.138  2010/04/30 18:19:40  brouard
                    359:   *** empty log message ***
                    360: 
1.138     brouard   361:   Revision 1.137  2010/04/29 18:11:38  brouard
                    362:   (Module): Checking covariates for more complex models
                    363:   than V1+V2. A lot of change to be done. Unstable.
                    364: 
1.137     brouard   365:   Revision 1.136  2010/04/26 20:30:53  brouard
                    366:   (Module): merging some libgsl code. Fixing computation
                    367:   of likelione (using inter/intrapolation if mle = 0) in order to
                    368:   get same likelihood as if mle=1.
                    369:   Some cleaning of code and comments added.
                    370: 
1.136     brouard   371:   Revision 1.135  2009/10/29 15:33:14  brouard
                    372:   (Module): Now imach stops if date of birth, at least year of birth, is not given. Some cleaning of the code.
                    373: 
1.135     brouard   374:   Revision 1.134  2009/10/29 13:18:53  brouard
                    375:   (Module): Now imach stops if date of birth, at least year of birth, is not given. Some cleaning of the code.
                    376: 
1.134     brouard   377:   Revision 1.133  2009/07/06 10:21:25  brouard
                    378:   just nforces
                    379: 
1.133     brouard   380:   Revision 1.132  2009/07/06 08:22:05  brouard
                    381:   Many tings
                    382: 
1.132     brouard   383:   Revision 1.131  2009/06/20 16:22:47  brouard
                    384:   Some dimensions resccaled
                    385: 
1.131     brouard   386:   Revision 1.130  2009/05/26 06:44:34  brouard
                    387:   (Module): Max Covariate is now set to 20 instead of 8. A
                    388:   lot of cleaning with variables initialized to 0. Trying to make
                    389:   V2+V3*age+V1+V4 strb=V3*age+V1+V4 working better.
                    390: 
1.130     brouard   391:   Revision 1.129  2007/08/31 13:49:27  lievre
                    392:   Modification of the way of exiting when the covariate is not binary in order to see on the window the error message before exiting
                    393: 
1.129     lievre    394:   Revision 1.128  2006/06/30 13:02:05  brouard
                    395:   (Module): Clarifications on computing e.j
                    396: 
1.128     brouard   397:   Revision 1.127  2006/04/28 18:11:50  brouard
                    398:   (Module): Yes the sum of survivors was wrong since
                    399:   imach-114 because nhstepm was no more computed in the age
                    400:   loop. Now we define nhstepma in the age loop.
                    401:   (Module): In order to speed up (in case of numerous covariates) we
                    402:   compute health expectancies (without variances) in a first step
                    403:   and then all the health expectancies with variances or standard
                    404:   deviation (needs data from the Hessian matrices) which slows the
                    405:   computation.
                    406:   In the future we should be able to stop the program is only health
                    407:   expectancies and graph are needed without standard deviations.
                    408: 
1.127     brouard   409:   Revision 1.126  2006/04/28 17:23:28  brouard
                    410:   (Module): Yes the sum of survivors was wrong since
                    411:   imach-114 because nhstepm was no more computed in the age
                    412:   loop. Now we define nhstepma in the age loop.
                    413:   Version 0.98h
                    414: 
1.126     brouard   415:   Revision 1.125  2006/04/04 15:20:31  lievre
                    416:   Errors in calculation of health expectancies. Age was not initialized.
                    417:   Forecasting file added.
                    418: 
                    419:   Revision 1.124  2006/03/22 17:13:53  lievre
                    420:   Parameters are printed with %lf instead of %f (more numbers after the comma).
                    421:   The log-likelihood is printed in the log file
                    422: 
                    423:   Revision 1.123  2006/03/20 10:52:43  brouard
                    424:   * imach.c (Module): <title> changed, corresponds to .htm file
                    425:   name. <head> headers where missing.
                    426: 
                    427:   * imach.c (Module): Weights can have a decimal point as for
                    428:   English (a comma might work with a correct LC_NUMERIC environment,
                    429:   otherwise the weight is truncated).
                    430:   Modification of warning when the covariates values are not 0 or
                    431:   1.
                    432:   Version 0.98g
                    433: 
                    434:   Revision 1.122  2006/03/20 09:45:41  brouard
                    435:   (Module): Weights can have a decimal point as for
                    436:   English (a comma might work with a correct LC_NUMERIC environment,
                    437:   otherwise the weight is truncated).
                    438:   Modification of warning when the covariates values are not 0 or
                    439:   1.
                    440:   Version 0.98g
                    441: 
                    442:   Revision 1.121  2006/03/16 17:45:01  lievre
                    443:   * imach.c (Module): Comments concerning covariates added
                    444: 
                    445:   * imach.c (Module): refinements in the computation of lli if
                    446:   status=-2 in order to have more reliable computation if stepm is
                    447:   not 1 month. Version 0.98f
                    448: 
                    449:   Revision 1.120  2006/03/16 15:10:38  lievre
                    450:   (Module): refinements in the computation of lli if
                    451:   status=-2 in order to have more reliable computation if stepm is
                    452:   not 1 month. Version 0.98f
                    453: 
                    454:   Revision 1.119  2006/03/15 17:42:26  brouard
                    455:   (Module): Bug if status = -2, the loglikelihood was
                    456:   computed as likelihood omitting the logarithm. Version O.98e
                    457: 
                    458:   Revision 1.118  2006/03/14 18:20:07  brouard
                    459:   (Module): varevsij Comments added explaining the second
                    460:   table of variances if popbased=1 .
                    461:   (Module): Covariances of eij, ekl added, graphs fixed, new html link.
                    462:   (Module): Function pstamp added
                    463:   (Module): Version 0.98d
                    464: 
                    465:   Revision 1.117  2006/03/14 17:16:22  brouard
                    466:   (Module): varevsij Comments added explaining the second
                    467:   table of variances if popbased=1 .
                    468:   (Module): Covariances of eij, ekl added, graphs fixed, new html link.
                    469:   (Module): Function pstamp added
                    470:   (Module): Version 0.98d
                    471: 
                    472:   Revision 1.116  2006/03/06 10:29:27  brouard
                    473:   (Module): Variance-covariance wrong links and
                    474:   varian-covariance of ej. is needed (Saito).
                    475: 
                    476:   Revision 1.115  2006/02/27 12:17:45  brouard
                    477:   (Module): One freematrix added in mlikeli! 0.98c
                    478: 
                    479:   Revision 1.114  2006/02/26 12:57:58  brouard
                    480:   (Module): Some improvements in processing parameter
                    481:   filename with strsep.
                    482: 
                    483:   Revision 1.113  2006/02/24 14:20:24  brouard
                    484:   (Module): Memory leaks checks with valgrind and:
                    485:   datafile was not closed, some imatrix were not freed and on matrix
                    486:   allocation too.
                    487: 
                    488:   Revision 1.112  2006/01/30 09:55:26  brouard
                    489:   (Module): Back to gnuplot.exe instead of wgnuplot.exe
                    490: 
                    491:   Revision 1.111  2006/01/25 20:38:18  brouard
                    492:   (Module): Lots of cleaning and bugs added (Gompertz)
                    493:   (Module): Comments can be added in data file. Missing date values
                    494:   can be a simple dot '.'.
                    495: 
                    496:   Revision 1.110  2006/01/25 00:51:50  brouard
                    497:   (Module): Lots of cleaning and bugs added (Gompertz)
                    498: 
                    499:   Revision 1.109  2006/01/24 19:37:15  brouard
                    500:   (Module): Comments (lines starting with a #) are allowed in data.
                    501: 
                    502:   Revision 1.108  2006/01/19 18:05:42  lievre
                    503:   Gnuplot problem appeared...
                    504:   To be fixed
                    505: 
                    506:   Revision 1.107  2006/01/19 16:20:37  brouard
                    507:   Test existence of gnuplot in imach path
                    508: 
                    509:   Revision 1.106  2006/01/19 13:24:36  brouard
                    510:   Some cleaning and links added in html output
                    511: 
                    512:   Revision 1.105  2006/01/05 20:23:19  lievre
                    513:   *** empty log message ***
                    514: 
                    515:   Revision 1.104  2005/09/30 16:11:43  lievre
                    516:   (Module): sump fixed, loop imx fixed, and simplifications.
                    517:   (Module): If the status is missing at the last wave but we know
                    518:   that the person is alive, then we can code his/her status as -2
                    519:   (instead of missing=-1 in earlier versions) and his/her
                    520:   contributions to the likelihood is 1 - Prob of dying from last
                    521:   health status (= 1-p13= p11+p12 in the easiest case of somebody in
                    522:   the healthy state at last known wave). Version is 0.98
                    523: 
                    524:   Revision 1.103  2005/09/30 15:54:49  lievre
                    525:   (Module): sump fixed, loop imx fixed, and simplifications.
                    526: 
                    527:   Revision 1.102  2004/09/15 17:31:30  brouard
                    528:   Add the possibility to read data file including tab characters.
                    529: 
                    530:   Revision 1.101  2004/09/15 10:38:38  brouard
                    531:   Fix on curr_time
                    532: 
                    533:   Revision 1.100  2004/07/12 18:29:06  brouard
                    534:   Add version for Mac OS X. Just define UNIX in Makefile
                    535: 
                    536:   Revision 1.99  2004/06/05 08:57:40  brouard
                    537:   *** empty log message ***
                    538: 
                    539:   Revision 1.98  2004/05/16 15:05:56  brouard
                    540:   New version 0.97 . First attempt to estimate force of mortality
                    541:   directly from the data i.e. without the need of knowing the health
                    542:   state at each age, but using a Gompertz model: log u =a + b*age .
                    543:   This is the basic analysis of mortality and should be done before any
                    544:   other analysis, in order to test if the mortality estimated from the
                    545:   cross-longitudinal survey is different from the mortality estimated
                    546:   from other sources like vital statistic data.
                    547: 
                    548:   The same imach parameter file can be used but the option for mle should be -3.
                    549: 
1.133     brouard   550:   Agnès, who wrote this part of the code, tried to keep most of the
1.126     brouard   551:   former routines in order to include the new code within the former code.
                    552: 
                    553:   The output is very simple: only an estimate of the intercept and of
                    554:   the slope with 95% confident intervals.
                    555: 
                    556:   Current limitations:
                    557:   A) Even if you enter covariates, i.e. with the
                    558:   model= V1+V2 equation for example, the programm does only estimate a unique global model without covariates.
                    559:   B) There is no computation of Life Expectancy nor Life Table.
                    560: 
                    561:   Revision 1.97  2004/02/20 13:25:42  lievre
                    562:   Version 0.96d. Population forecasting command line is (temporarily)
                    563:   suppressed.
                    564: 
                    565:   Revision 1.96  2003/07/15 15:38:55  brouard
                    566:   * imach.c (Repository): Errors in subdirf, 2, 3 while printing tmpout is
                    567:   rewritten within the same printf. Workaround: many printfs.
                    568: 
                    569:   Revision 1.95  2003/07/08 07:54:34  brouard
                    570:   * imach.c (Repository):
                    571:   (Repository): Using imachwizard code to output a more meaningful covariance
                    572:   matrix (cov(a12,c31) instead of numbers.
                    573: 
                    574:   Revision 1.94  2003/06/27 13:00:02  brouard
                    575:   Just cleaning
                    576: 
                    577:   Revision 1.93  2003/06/25 16:33:55  brouard
                    578:   (Module): On windows (cygwin) function asctime_r doesn't
                    579:   exist so I changed back to asctime which exists.
                    580:   (Module): Version 0.96b
                    581: 
                    582:   Revision 1.92  2003/06/25 16:30:45  brouard
                    583:   (Module): On windows (cygwin) function asctime_r doesn't
                    584:   exist so I changed back to asctime which exists.
                    585: 
                    586:   Revision 1.91  2003/06/25 15:30:29  brouard
                    587:   * imach.c (Repository): Duplicated warning errors corrected.
                    588:   (Repository): Elapsed time after each iteration is now output. It
                    589:   helps to forecast when convergence will be reached. Elapsed time
                    590:   is stamped in powell.  We created a new html file for the graphs
                    591:   concerning matrix of covariance. It has extension -cov.htm.
                    592: 
                    593:   Revision 1.90  2003/06/24 12:34:15  brouard
                    594:   (Module): Some bugs corrected for windows. Also, when
                    595:   mle=-1 a template is output in file "or"mypar.txt with the design
                    596:   of the covariance matrix to be input.
                    597: 
                    598:   Revision 1.89  2003/06/24 12:30:52  brouard
                    599:   (Module): Some bugs corrected for windows. Also, when
                    600:   mle=-1 a template is output in file "or"mypar.txt with the design
                    601:   of the covariance matrix to be input.
                    602: 
                    603:   Revision 1.88  2003/06/23 17:54:56  brouard
                    604:   * 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.
                    605: 
                    606:   Revision 1.87  2003/06/18 12:26:01  brouard
                    607:   Version 0.96
                    608: 
                    609:   Revision 1.86  2003/06/17 20:04:08  brouard
                    610:   (Module): Change position of html and gnuplot routines and added
                    611:   routine fileappend.
                    612: 
                    613:   Revision 1.85  2003/06/17 13:12:43  brouard
                    614:   * imach.c (Repository): Check when date of death was earlier that
                    615:   current date of interview. It may happen when the death was just
                    616:   prior to the death. In this case, dh was negative and likelihood
                    617:   was wrong (infinity). We still send an "Error" but patch by
                    618:   assuming that the date of death was just one stepm after the
                    619:   interview.
                    620:   (Repository): Because some people have very long ID (first column)
                    621:   we changed int to long in num[] and we added a new lvector for
                    622:   memory allocation. But we also truncated to 8 characters (left
                    623:   truncation)
                    624:   (Repository): No more line truncation errors.
                    625: 
                    626:   Revision 1.84  2003/06/13 21:44:43  brouard
                    627:   * imach.c (Repository): Replace "freqsummary" at a correct
                    628:   place. It differs from routine "prevalence" which may be called
                    629:   many times. Probs is memory consuming and must be used with
                    630:   parcimony.
                    631:   Version 0.95a3 (should output exactly the same maximization than 0.8a2)
                    632: 
                    633:   Revision 1.83  2003/06/10 13:39:11  lievre
                    634:   *** empty log message ***
                    635: 
                    636:   Revision 1.82  2003/06/05 15:57:20  brouard
                    637:   Add log in  imach.c and  fullversion number is now printed.
                    638: 
                    639: */
                    640: /*
                    641:    Interpolated Markov Chain
                    642: 
                    643:   Short summary of the programme:
                    644:   
1.227     brouard   645:   This program computes Healthy Life Expectancies or State-specific
                    646:   (if states aren't health statuses) Expectancies from
                    647:   cross-longitudinal data. Cross-longitudinal data consist in: 
                    648: 
                    649:   -1- a first survey ("cross") where individuals from different ages
                    650:   are interviewed on their health status or degree of disability (in
                    651:   the case of a health survey which is our main interest)
                    652: 
                    653:   -2- at least a second wave of interviews ("longitudinal") which
                    654:   measure each change (if any) in individual health status.  Health
                    655:   expectancies are computed from the time spent in each health state
                    656:   according to a model. More health states you consider, more time is
                    657:   necessary to reach the Maximum Likelihood of the parameters involved
                    658:   in the model.  The simplest model is the multinomial logistic model
                    659:   where pij is the probability to be observed in state j at the second
                    660:   wave conditional to be observed in state i at the first
                    661:   wave. Therefore the model is: log(pij/pii)= aij + bij*age+ cij*sex +
                    662:   etc , where 'age' is age and 'sex' is a covariate. If you want to
                    663:   have a more complex model than "constant and age", you should modify
                    664:   the program where the markup *Covariates have to be included here
                    665:   again* invites you to do it.  More covariates you add, slower the
1.126     brouard   666:   convergence.
                    667: 
                    668:   The advantage of this computer programme, compared to a simple
                    669:   multinomial logistic model, is clear when the delay between waves is not
                    670:   identical for each individual. Also, if a individual missed an
                    671:   intermediate interview, the information is lost, but taken into
                    672:   account using an interpolation or extrapolation.  
                    673: 
                    674:   hPijx is the probability to be observed in state i at age x+h
                    675:   conditional to the observed state i at age x. The delay 'h' can be
                    676:   split into an exact number (nh*stepm) of unobserved intermediate
                    677:   states. This elementary transition (by month, quarter,
                    678:   semester or year) is modelled as a multinomial logistic.  The hPx
                    679:   matrix is simply the matrix product of nh*stepm elementary matrices
                    680:   and the contribution of each individual to the likelihood is simply
                    681:   hPijx.
                    682: 
                    683:   Also this programme outputs the covariance matrix of the parameters but also
1.218     brouard   684:   of the life expectancies. It also computes the period (stable) prevalence.
                    685: 
                    686: Back prevalence and projections:
1.227     brouard   687: 
                    688:  - back_prevalence_limit(double *p, double **bprlim, double ageminpar,
                    689:    double agemaxpar, double ftolpl, int *ncvyearp, double
                    690:    dateprev1,double dateprev2, int firstpass, int lastpass, int
                    691:    mobilavproj)
                    692: 
                    693:     Computes the back prevalence limit for any combination of
                    694:     covariate values k at any age between ageminpar and agemaxpar and
                    695:     returns it in **bprlim. In the loops,
                    696: 
                    697:    - **bprevalim(**bprlim, ***mobaverage, nlstate, *p, age, **oldm,
                    698:        **savm, **dnewm, **doldm, **dsavm, ftolpl, ncvyearp, k);
                    699: 
                    700:    - hBijx Back Probability to be in state i at age x-h being in j at x
1.218     brouard   701:    Computes for any combination of covariates k and any age between bage and fage 
                    702:    p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                    703:                        oldm=oldms;savm=savms;
1.227     brouard   704: 
                    705:    - hbxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);
1.218     brouard   706:      Computes the transition matrix starting at age 'age' over
                    707:      'nhstepm*hstepm*stepm' months (i.e. until
                    708:      age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying
1.227     brouard   709:      nhstepm*hstepm matrices. 
                    710: 
                    711:      Returns p3mat[i][j][h] after calling
                    712:      p3mat[i][j][h]=matprod2(newm,
                    713:      bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent, dnewm, doldm,
                    714:      dsavm,ij),\ 1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath,
                    715:      oldm);
1.226     brouard   716: 
                    717: Important routines
                    718: 
                    719: - func (or funcone), computes logit (pij) distinguishing
                    720:   o fixed variables (single or product dummies or quantitative);
                    721:   o varying variables by:
                    722:    (1) wave (single, product dummies, quantitative), 
                    723:    (2) by age (can be month) age (done), age*age (done), age*Vn where Vn can be:
                    724:        % fixed dummy (treated) or quantitative (not done because time-consuming);
                    725:        % varying dummy (not done) or quantitative (not done);
                    726: - Tricode which tests the modality of dummy variables (in order to warn with wrong or empty modalities)
                    727:   and returns the number of efficient covariates cptcoveff and modalities nbcode[Tvar[k]][1]= 0 and nbcode[Tvar[k]][2]= 1 usually.
                    728: - printinghtml which outputs results like life expectancy in and from a state for a combination of modalities of dummy variables
                    729:   o There are 2*cptcoveff combinations of (0,1) for cptcoveff variables. Outputting only combinations with people, éliminating 1 1 if
                    730:     race White (0 0), Black vs White (1 0), Hispanic (0 1) and 1 1 being meaningless.
1.218     brouard   731: 
1.226     brouard   732: 
                    733:   
1.133     brouard   734:   Authors: Nicolas Brouard (brouard@ined.fr) and Agnès Lièvre (lievre@ined.fr).
                    735:            Institut national d'études démographiques, Paris.
1.126     brouard   736:   This software have been partly granted by Euro-REVES, a concerted action
                    737:   from the European Union.
                    738:   It is copyrighted identically to a GNU software product, ie programme and
                    739:   software can be distributed freely for non commercial use. Latest version
                    740:   can be accessed at http://euroreves.ined.fr/imach .
                    741: 
                    742:   Help to debug: LD_PRELOAD=/usr/local/lib/libnjamd.so ./imach foo.imach
                    743:   or better on gdb : set env LD_PRELOAD=/usr/local/lib/libnjamd.so
                    744:   
                    745:   **********************************************************************/
                    746: /*
                    747:   main
                    748:   read parameterfile
                    749:   read datafile
                    750:   concatwav
                    751:   freqsummary
                    752:   if (mle >= 1)
                    753:     mlikeli
                    754:   print results files
                    755:   if mle==1 
                    756:      computes hessian
                    757:   read end of parameter file: agemin, agemax, bage, fage, estepm
                    758:       begin-prev-date,...
                    759:   open gnuplot file
                    760:   open html file
1.145     brouard   761:   period (stable) prevalence      | pl_nom    1-1 2-2 etc by covariate
                    762:    for age prevalim()             | #****** V1=0  V2=1  V3=1  V4=0 ******
                    763:                                   | 65 1 0 2 1 3 1 4 0  0.96326 0.03674
                    764:     freexexit2 possible for memory heap.
                    765: 
                    766:   h Pij x                         | pij_nom  ficrestpij
                    767:    # Cov Agex agex+h hpijx with i,j= 1-1 1-2     1-3     2-1     2-2     2-3
                    768:        1  85   85    1.00000             0.00000 0.00000 0.00000 1.00000 0.00000
                    769:        1  85   86    0.68299             0.22291 0.09410 0.71093 0.00000 0.28907
                    770: 
                    771:        1  65   99    0.00364             0.00322 0.99314 0.00350 0.00310 0.99340
                    772:        1  65  100    0.00214             0.00204 0.99581 0.00206 0.00196 0.99597
                    773:   variance of p one-step probabilities varprob  | prob_nom   ficresprob #One-step probabilities and stand. devi in ()
                    774:    Standard deviation of one-step probabilities | probcor_nom   ficresprobcor #One-step probabilities and correlation matrix
                    775:    Matrix of variance covariance of one-step probabilities |  probcov_nom ficresprobcov #One-step probabilities and covariance matrix
                    776: 
1.126     brouard   777:   forecasting if prevfcast==1 prevforecast call prevalence()
                    778:   health expectancies
                    779:   Variance-covariance of DFLE
                    780:   prevalence()
                    781:    movingaverage()
                    782:   varevsij() 
                    783:   if popbased==1 varevsij(,popbased)
                    784:   total life expectancies
                    785:   Variance of period (stable) prevalence
                    786:  end
                    787: */
                    788: 
1.187     brouard   789: /* #define DEBUG */
                    790: /* #define DEBUGBRENT */
1.203     brouard   791: /* #define DEBUGLINMIN */
                    792: /* #define DEBUGHESS */
                    793: #define DEBUGHESSIJ
1.224     brouard   794: /* #define LINMINORIGINAL  /\* Don't use loop on scale in linmin (accepting nan) *\/ */
1.165     brouard   795: #define POWELL /* Instead of NLOPT */
1.224     brouard   796: #define POWELLNOF3INFF1TEST /* Skip test */
1.186     brouard   797: /* #define POWELLORIGINAL /\* Don't use Directest to decide new direction but original Powell test *\/ */
                    798: /* #define MNBRAKORIGINAL /\* Don't use mnbrak fix *\/ */
1.126     brouard   799: 
                    800: #include <math.h>
                    801: #include <stdio.h>
                    802: #include <stdlib.h>
                    803: #include <string.h>
1.226     brouard   804: #include <ctype.h>
1.159     brouard   805: 
                    806: #ifdef _WIN32
                    807: #include <io.h>
1.172     brouard   808: #include <windows.h>
                    809: #include <tchar.h>
1.159     brouard   810: #else
1.126     brouard   811: #include <unistd.h>
1.159     brouard   812: #endif
1.126     brouard   813: 
                    814: #include <limits.h>
                    815: #include <sys/types.h>
1.171     brouard   816: 
                    817: #if defined(__GNUC__)
                    818: #include <sys/utsname.h> /* Doesn't work on Windows */
                    819: #endif
                    820: 
1.126     brouard   821: #include <sys/stat.h>
                    822: #include <errno.h>
1.159     brouard   823: /* extern int errno; */
1.126     brouard   824: 
1.157     brouard   825: /* #ifdef LINUX */
                    826: /* #include <time.h> */
                    827: /* #include "timeval.h" */
                    828: /* #else */
                    829: /* #include <sys/time.h> */
                    830: /* #endif */
                    831: 
1.126     brouard   832: #include <time.h>
                    833: 
1.136     brouard   834: #ifdef GSL
                    835: #include <gsl/gsl_errno.h>
                    836: #include <gsl/gsl_multimin.h>
                    837: #endif
                    838: 
1.167     brouard   839: 
1.162     brouard   840: #ifdef NLOPT
                    841: #include <nlopt.h>
                    842: typedef struct {
                    843:   double (* function)(double [] );
                    844: } myfunc_data ;
                    845: #endif
                    846: 
1.126     brouard   847: /* #include <libintl.h> */
                    848: /* #define _(String) gettext (String) */
                    849: 
1.141     brouard   850: #define MAXLINE 1024 /* Was 256. Overflow with 312 with 2 states and 4 covariates. Should be ok */
1.126     brouard   851: 
                    852: #define GNUPLOTPROGRAM "gnuplot"
                    853: /*#define GNUPLOTPROGRAM "..\\gp37mgw\\wgnuplot"*/
                    854: #define FILENAMELENGTH 132
                    855: 
                    856: #define        GLOCK_ERROR_NOPATH              -1      /* empty path */
                    857: #define        GLOCK_ERROR_GETCWD              -2      /* cannot get cwd */
                    858: 
1.144     brouard   859: #define MAXPARM 128 /**< Maximum number of parameters for the optimization */
                    860: #define NPARMAX 64 /**< (nlstate+ndeath-1)*nlstate*ncovmodel */
1.126     brouard   861: 
                    862: #define NINTERVMAX 8
1.144     brouard   863: #define NLSTATEMAX 8 /**< Maximum number of live states (for func) */
                    864: #define NDEATHMAX 8 /**< Maximum number of dead states (for func) */
                    865: #define NCOVMAX 20 /**< Maximum number of covariates, including generated covariates V1*V2 */
1.197     brouard   866: #define codtabm(h,k)  (1 & (h-1) >> (k-1))+1
1.211     brouard   867: /*#define decodtabm(h,k,cptcoveff)= (h <= (1<<cptcoveff)?(((h-1) >> (k-1)) & 1) +1 : -1)*/
                    868: #define decodtabm(h,k,cptcoveff) (((h-1) >> (k-1)) & 1) +1 
1.126     brouard   869: #define MAXN 20000
1.144     brouard   870: #define YEARM 12. /**< Number of months per year */
1.218     brouard   871: /* #define AGESUP 130 */
                    872: #define AGESUP 150
                    873: #define AGEMARGE 25 /* Marge for agemin and agemax for(iage=agemin-AGEMARGE; iage <= agemax+3+AGEMARGE; iage++) */
1.126     brouard   874: #define AGEBASE 40
1.194     brouard   875: #define AGEOVERFLOW 1.e20
1.164     brouard   876: #define AGEGOMP 10 /**< Minimal age for Gompertz adjustment */
1.157     brouard   877: #ifdef _WIN32
                    878: #define DIRSEPARATOR '\\'
                    879: #define CHARSEPARATOR "\\"
                    880: #define ODIRSEPARATOR '/'
                    881: #else
1.126     brouard   882: #define DIRSEPARATOR '/'
                    883: #define CHARSEPARATOR "/"
                    884: #define ODIRSEPARATOR '\\'
                    885: #endif
                    886: 
1.229   ! brouard   887: /* $Id: imach.c,v 1.228 2016/07/22 17:45:30 brouard Exp $ */
1.126     brouard   888: /* $State: Exp $ */
1.196     brouard   889: #include "version.h"
                    890: char version[]=__IMACH_VERSION__;
1.224     brouard   891: char copyright[]="February 2016,INED-EUROREVES-Institut de longevite-Japan Society for the Promotion of Science (Grant-in-Aid for Scientific Research 25293121), Intel Software 2015-2018";
1.229   ! brouard   892: char fullversion[]="$Revision: 1.228 $ $Date: 2016/07/22 17:45:30 $"; 
1.126     brouard   893: char strstart[80];
                    894: char optionfilext[10], optionfilefiname[FILENAMELENGTH];
1.130     brouard   895: int erreur=0, nberr=0, nbwarn=0; /* Error number, number of errors number of warnings  */
1.187     brouard   896: int nagesqr=0, nforce=0; /* nagesqr=1 if model is including age*age, number of forces */
1.145     brouard   897: /* Number of covariates model=V2+V1+ V3*age+V2*V4 */
                    898: int cptcovn=0; /**< cptcovn number of covariates added in the model (excepting constant and age and age*product) */
                    899: int cptcovt=0; /**< cptcovt number of covariates added in the model (excepting constant and age) */
1.225     brouard   900: int cptcovs=0; /**< cptcovs number of simple covariates in the model V2+V1 =2 */
                    901: int cptcovsnq=0; /**< cptcovsnq number of simple covariates in the model but non quantitative V2+V1 =2 */
1.145     brouard   902: int cptcovage=0; /**< Number of covariates with age: V3*age only =1 */
                    903: int cptcovprodnoage=0; /**< Number of covariate products without age */   
                    904: int cptcoveff=0; /* Total number of covariates to vary for printing results */
1.224     brouard   905: int ncoveff=0; /* Total number of effective covariates in the model */
1.225     brouard   906: int nqfveff=0; /**< nqfveff Number of Quantitative Fixed Variables Effective */
1.224     brouard   907: int ntveff=0; /**< ntveff number of effective time varying variables */
                    908: int nqtveff=0; /**< ntqveff number of effective time varying quantitative variables */
1.145     brouard   909: int cptcov=0; /* Working variable */
1.218     brouard   910: int ncovcombmax=NCOVMAX; /* Maximum calculated number of covariate combination = pow(2, cptcoveff) */
1.126     brouard   911: int npar=NPARMAX;
                    912: int nlstate=2; /* Number of live states */
                    913: int ndeath=1; /* Number of dead states */
1.130     brouard   914: int ncovmodel=0, ncovcol=0;     /* Total number of covariables including constant a12*1 +b12*x ncovmodel=2 */
1.223     brouard   915: int  nqv=0, ntv=0, nqtv=0;    /* Total number of quantitative variables, time variable (dummy), quantitative and time variable */ 
1.126     brouard   916: int popbased=0;
                    917: 
                    918: int *wav; /* Number of waves for this individuual 0 is possible */
1.130     brouard   919: int maxwav=0; /* Maxim number of waves */
                    920: int jmin=0, jmax=0; /* min, max spacing between 2 waves */
                    921: int ijmin=0, ijmax=0; /* Individuals having jmin and jmax */ 
                    922: int gipmx=0, gsw=0; /* Global variables on the number of contributions 
1.126     brouard   923:                   to the likelihood and the sum of weights (done by funcone)*/
1.130     brouard   924: int mle=1, weightopt=0;
1.126     brouard   925: int **mw; /* mw[mi][i] is number of the mi wave for this individual */
                    926: int **dh; /* dh[mi][i] is number of steps between mi,mi+1 for this individual */
                    927: int **bh; /* bh[mi][i] is the bias (+ or -) for this individual if the delay between
                    928:           * wave mi and wave mi+1 is not an exact multiple of stepm. */
1.162     brouard   929: int countcallfunc=0;  /* Count the number of calls to func */
1.130     brouard   930: double jmean=1; /* Mean space between 2 waves */
1.145     brouard   931: double **matprod2(); /* test */
1.126     brouard   932: double **oldm, **newm, **savm; /* Working pointers to matrices */
                    933: double **oldms, **newms, **savms; /* Fixed working pointers to matrices */
1.218     brouard   934: double  **ddnewms, **ddoldms, **ddsavms; /* for freeing later */
                    935: 
1.136     brouard   936: /*FILE *fic ; */ /* Used in readdata only */
1.217     brouard   937: FILE *ficpar, *ficparo,*ficres, *ficresp, *ficresphtm, *ficresphtmfr, *ficrespl, *ficresplb,*ficrespij, *ficrespijb, *ficrest,*ficresf, *ficresfb,*ficrespop;
1.126     brouard   938: FILE *ficlog, *ficrespow;
1.130     brouard   939: int globpr=0; /* Global variable for printing or not */
1.126     brouard   940: double fretone; /* Only one call to likelihood */
1.130     brouard   941: long ipmx=0; /* Number of contributions */
1.126     brouard   942: double sw; /* Sum of weights */
                    943: char filerespow[FILENAMELENGTH];
                    944: char fileresilk[FILENAMELENGTH]; /* File of individual contributions to the likelihood */
                    945: FILE *ficresilk;
                    946: FILE *ficgp,*ficresprob,*ficpop, *ficresprobcov, *ficresprobcor;
                    947: FILE *ficresprobmorprev;
                    948: FILE *fichtm, *fichtmcov; /* Html File */
                    949: FILE *ficreseij;
                    950: char filerese[FILENAMELENGTH];
                    951: FILE *ficresstdeij;
                    952: char fileresstde[FILENAMELENGTH];
                    953: FILE *ficrescveij;
                    954: char filerescve[FILENAMELENGTH];
                    955: FILE  *ficresvij;
                    956: char fileresv[FILENAMELENGTH];
                    957: FILE  *ficresvpl;
                    958: char fileresvpl[FILENAMELENGTH];
                    959: char title[MAXLINE];
1.217     brouard   960: char optionfile[FILENAMELENGTH], datafile[FILENAMELENGTH],  filerespl[FILENAMELENGTH],  fileresplb[FILENAMELENGTH];
1.126     brouard   961: char plotcmd[FILENAMELENGTH], pplotcmd[FILENAMELENGTH];
                    962: char tmpout[FILENAMELENGTH],  tmpout2[FILENAMELENGTH]; 
                    963: char command[FILENAMELENGTH];
                    964: int  outcmd=0;
                    965: 
1.217     brouard   966: char fileres[FILENAMELENGTH], filerespij[FILENAMELENGTH], filerespijb[FILENAMELENGTH], filereso[FILENAMELENGTH], rfileres[FILENAMELENGTH];
1.202     brouard   967: char fileresu[FILENAMELENGTH]; /* fileres without r in front */
1.126     brouard   968: char filelog[FILENAMELENGTH]; /* Log file */
                    969: char filerest[FILENAMELENGTH];
                    970: char fileregp[FILENAMELENGTH];
                    971: char popfile[FILENAMELENGTH];
                    972: 
                    973: char optionfilegnuplot[FILENAMELENGTH], optionfilehtm[FILENAMELENGTH], optionfilehtmcov[FILENAMELENGTH] ;
                    974: 
1.157     brouard   975: /* struct timeval start_time, end_time, curr_time, last_time, forecast_time; */
                    976: /* struct timezone tzp; */
                    977: /* extern int gettimeofday(); */
                    978: struct tm tml, *gmtime(), *localtime();
                    979: 
                    980: extern time_t time();
                    981: 
                    982: struct tm start_time, end_time, curr_time, last_time, forecast_time;
                    983: time_t  rstart_time, rend_time, rcurr_time, rlast_time, rforecast_time; /* raw time */
                    984: struct tm tm;
                    985: 
1.126     brouard   986: char strcurr[80], strfor[80];
                    987: 
                    988: char *endptr;
                    989: long lval;
                    990: double dval;
                    991: 
                    992: #define NR_END 1
                    993: #define FREE_ARG char*
                    994: #define FTOL 1.0e-10
                    995: 
                    996: #define NRANSI 
                    997: #define ITMAX 200 
                    998: 
                    999: #define TOL 2.0e-4 
                   1000: 
                   1001: #define CGOLD 0.3819660 
                   1002: #define ZEPS 1.0e-10 
                   1003: #define SHFT(a,b,c,d) (a)=(b);(b)=(c);(c)=(d); 
                   1004: 
                   1005: #define GOLD 1.618034 
                   1006: #define GLIMIT 100.0 
                   1007: #define TINY 1.0e-20 
                   1008: 
                   1009: static double maxarg1,maxarg2;
                   1010: #define FMAX(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)>(maxarg2)? (maxarg1):(maxarg2))
                   1011: #define FMIN(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)<(maxarg2)? (maxarg1):(maxarg2))
                   1012:   
                   1013: #define SIGN(a,b) ((b)>0.0 ? fabs(a) : -fabs(a))
                   1014: #define rint(a) floor(a+0.5)
1.166     brouard  1015: /* http://www.thphys.uni-heidelberg.de/~robbers/cmbeasy/doc/html/myutils_8h-source.html */
1.183     brouard  1016: #define mytinydouble 1.0e-16
1.166     brouard  1017: /* #define DEQUAL(a,b) (fabs((a)-(b))<mytinydouble) */
                   1018: /* http://www.thphys.uni-heidelberg.de/~robbers/cmbeasy/doc/html/mynrutils_8h-source.html */
                   1019: /* static double dsqrarg; */
                   1020: /* #define DSQR(a) (DEQUAL((dsqrarg=(a)),0.0) ? 0.0 : dsqrarg*dsqrarg) */
1.126     brouard  1021: static double sqrarg;
                   1022: #define SQR(a) ((sqrarg=(a)) == 0.0 ? 0.0 :sqrarg*sqrarg)
                   1023: #define SWAP(a,b) {temp=(a);(a)=(b);(b)=temp;} 
                   1024: int agegomp= AGEGOMP;
                   1025: 
                   1026: int imx; 
                   1027: int stepm=1;
                   1028: /* Stepm, step in month: minimum step interpolation*/
                   1029: 
                   1030: int estepm;
                   1031: /* Estepm, step in month to interpolate survival function in order to approximate Life Expectancy*/
                   1032: 
                   1033: int m,nb;
                   1034: long *num;
1.197     brouard  1035: int firstpass=0, lastpass=4,*cod, *cens;
1.192     brouard  1036: int *ncodemax;  /* ncodemax[j]= Number of modalities of the j th
                   1037:                   covariate for which somebody answered excluding 
                   1038:                   undefined. Usually 2: 0 and 1. */
                   1039: int *ncodemaxwundef;  /* ncodemax[j]= Number of modalities of the j th
                   1040:                             covariate for which somebody answered including 
                   1041:                             undefined. Usually 3: -1, 0 and 1. */
1.126     brouard  1042: double **agev,*moisnais, *annais, *moisdc, *andc,**mint, **anint;
1.218     brouard  1043: double **pmmij, ***probs; /* Global pointer */
1.219     brouard  1044: double ***mobaverage, ***mobaverages; /* New global variable */
1.126     brouard  1045: double *ageexmed,*agecens;
                   1046: double dateintmean=0;
                   1047: 
                   1048: double *weight;
                   1049: int **s; /* Status */
1.141     brouard  1050: double *agedc;
1.145     brouard  1051: double  **covar; /**< covar[j,i], value of jth covariate for individual i,
1.141     brouard  1052:                  * covar=matrix(0,NCOVMAX,1,n); 
1.187     brouard  1053:                  * cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*age; */
1.225     brouard  1054: double **coqvar; /* Fixed quantitative covariate iqv */
                   1055: double ***cotvar; /* Time varying covariate itv */
                   1056: double ***cotqvar; /* Time varying quantitative covariate itqv */
1.141     brouard  1057: double  idx; 
                   1058: int **nbcode, *Tvar; /**< model=V2 => Tvar[1]= 2 */
1.226     brouard  1059: int *Typevar; /**< 0 for simple covariate (dummy, quantitative, fixed or varying), 1 for age product, 2 for  product */
1.227     brouard  1060: int *Fixed; /** Fixed[k] 0=fixed, 1 varying, 2 fixed with age product, 3 varying with age product */ 
                   1061: int *Dummy; /** Dummy[k] 0=dummy (0 1), 1 quantitative (single or product without age), 2 dummy with age product, 3 quant with age product */ 
1.197     brouard  1062: int *Tage;
1.227     brouard  1063: int anyvaryingduminmodel=0; /**< Any varying dummy in Model=1 yes, 0 no, to avoid a loop on waves in freq */ 
1.228     brouard  1064: int *Tmodelind; /** Tmodelind[Tvaraff[3]]=9 for V1 position,Tvaraff[1]@9={4, 3, 1, 0, 0, 0, 0, 0, 0}, model=V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1*/
                   1065: int *TmodelInvind; /** Tmodelind[Tvaraff[3]]=9 for V1 position,Tvaraff[1]@9={4, 3, 1, 0, 0, 0, 0, 0, 0}, model=V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1*/
                   1066: int *TmodelInvQind; /** Tmodelqind[1]=1 for V5(quantitative varying) position,Tvaraff[1]@9={4, 3, 1, 0, 0, 0, 0, 0, 0}, model=V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1*/
1.145     brouard  1067: int *Ndum; /** Freq of modality (tricode */
1.200     brouard  1068: /* int **codtab;*/ /**< codtab=imatrix(1,100,1,10); */
1.227     brouard  1069: int **Tvard;
                   1070: int *Tprod;/**< Gives the k position of the k1 product */
                   1071: int *Tposprod; /**< Gives the k1 product from the k position */
                   1072: /* Tprod[k1=1]=3(=V1*V4) for V2+V1+V1*V4+age*V3
                   1073:    if  V2+V1+V1*V4+age*V3+V3*V2   TProd[k1=2]=5 (V3*V2)
                   1074:    Tposprod[k]=k1 , Tposprod[3]=1, Tposprod[5]=2 
                   1075: */
                   1076: int cptcovprod, *Tvaraff, *invalidvarcomb;
1.126     brouard  1077: double *lsurv, *lpop, *tpop;
                   1078: 
1.143     brouard  1079: double ftol=FTOL; /**< Tolerance for computing Max Likelihood */
                   1080: double ftolhess; /**< Tolerance for computing hessian */
1.126     brouard  1081: 
                   1082: /**************** split *************************/
                   1083: static int split( char *path, char *dirc, char *name, char *ext, char *finame )
                   1084: {
                   1085:   /* From a file name with (full) path (either Unix or Windows) we extract the directory (dirc)
                   1086:      the name of the file (name), its extension only (ext) and its first part of the name (finame)
                   1087:   */ 
                   1088:   char *ss;                            /* pointer */
1.186     brouard  1089:   int  l1=0, l2=0;                             /* length counters */
1.126     brouard  1090: 
                   1091:   l1 = strlen(path );                  /* length of path */
                   1092:   if ( l1 == 0 ) return( GLOCK_ERROR_NOPATH );
                   1093:   ss= strrchr( path, DIRSEPARATOR );           /* find last / */
                   1094:   if ( ss == NULL ) {                  /* no directory, so determine current directory */
                   1095:     strcpy( name, path );              /* we got the fullname name because no directory */
                   1096:     /*if(strrchr(path, ODIRSEPARATOR )==NULL)
                   1097:       printf("Warning you should use %s as a separator\n",DIRSEPARATOR);*/
                   1098:     /* get current working directory */
                   1099:     /*    extern  char* getcwd ( char *buf , int len);*/
1.184     brouard  1100: #ifdef WIN32
                   1101:     if (_getcwd( dirc, FILENAME_MAX ) == NULL ) {
                   1102: #else
                   1103:        if (getcwd(dirc, FILENAME_MAX) == NULL) {
                   1104: #endif
1.126     brouard  1105:       return( GLOCK_ERROR_GETCWD );
                   1106:     }
                   1107:     /* got dirc from getcwd*/
                   1108:     printf(" DIRC = %s \n",dirc);
1.205     brouard  1109:   } else {                             /* strip directory from path */
1.126     brouard  1110:     ss++;                              /* after this, the filename */
                   1111:     l2 = strlen( ss );                 /* length of filename */
                   1112:     if ( l2 == 0 ) return( GLOCK_ERROR_NOPATH );
                   1113:     strcpy( name, ss );                /* save file name */
                   1114:     strncpy( dirc, path, l1 - l2 );    /* now the directory */
1.186     brouard  1115:     dirc[l1-l2] = '\0';                        /* add zero */
1.126     brouard  1116:     printf(" DIRC2 = %s \n",dirc);
                   1117:   }
                   1118:   /* We add a separator at the end of dirc if not exists */
                   1119:   l1 = strlen( dirc );                 /* length of directory */
                   1120:   if( dirc[l1-1] != DIRSEPARATOR ){
                   1121:     dirc[l1] =  DIRSEPARATOR;
                   1122:     dirc[l1+1] = 0; 
                   1123:     printf(" DIRC3 = %s \n",dirc);
                   1124:   }
                   1125:   ss = strrchr( name, '.' );           /* find last / */
                   1126:   if (ss >0){
                   1127:     ss++;
                   1128:     strcpy(ext,ss);                    /* save extension */
                   1129:     l1= strlen( name);
                   1130:     l2= strlen(ss)+1;
                   1131:     strncpy( finame, name, l1-l2);
                   1132:     finame[l1-l2]= 0;
                   1133:   }
                   1134: 
                   1135:   return( 0 );                         /* we're done */
                   1136: }
                   1137: 
                   1138: 
                   1139: /******************************************/
                   1140: 
                   1141: void replace_back_to_slash(char *s, char*t)
                   1142: {
                   1143:   int i;
                   1144:   int lg=0;
                   1145:   i=0;
                   1146:   lg=strlen(t);
                   1147:   for(i=0; i<= lg; i++) {
                   1148:     (s[i] = t[i]);
                   1149:     if (t[i]== '\\') s[i]='/';
                   1150:   }
                   1151: }
                   1152: 
1.132     brouard  1153: char *trimbb(char *out, char *in)
1.137     brouard  1154: { /* Trim multiple blanks in line but keeps first blanks if line starts with blanks */
1.132     brouard  1155:   char *s;
                   1156:   s=out;
                   1157:   while (*in != '\0'){
1.137     brouard  1158:     while( *in == ' ' && *(in+1) == ' '){ /* && *(in+1) != '\0'){*/
1.132     brouard  1159:       in++;
                   1160:     }
                   1161:     *out++ = *in++;
                   1162:   }
                   1163:   *out='\0';
                   1164:   return s;
                   1165: }
                   1166: 
1.187     brouard  1167: /* char *substrchaine(char *out, char *in, char *chain) */
                   1168: /* { */
                   1169: /*   /\* Substract chain 'chain' from 'in', return and output 'out' *\/ */
                   1170: /*   char *s, *t; */
                   1171: /*   t=in;s=out; */
                   1172: /*   while ((*in != *chain) && (*in != '\0')){ */
                   1173: /*     *out++ = *in++; */
                   1174: /*   } */
                   1175: 
                   1176: /*   /\* *in matches *chain *\/ */
                   1177: /*   while ((*in++ == *chain++) && (*in != '\0')){ */
                   1178: /*     printf("*in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
                   1179: /*   } */
                   1180: /*   in--; chain--; */
                   1181: /*   while ( (*in != '\0')){ */
                   1182: /*     printf("Bef *in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
                   1183: /*     *out++ = *in++; */
                   1184: /*     printf("Aft *in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
                   1185: /*   } */
                   1186: /*   *out='\0'; */
                   1187: /*   out=s; */
                   1188: /*   return out; */
                   1189: /* } */
                   1190: char *substrchaine(char *out, char *in, char *chain)
                   1191: {
                   1192:   /* Substract chain 'chain' from 'in', return and output 'out' */
                   1193:   /* in="V1+V1*age+age*age+V2", chain="age*age" */
                   1194: 
                   1195:   char *strloc;
                   1196: 
                   1197:   strcpy (out, in); 
                   1198:   strloc = strstr(out, chain); /* strloc points to out at age*age+V2 */
                   1199:   printf("Bef strloc=%s chain=%s out=%s \n", strloc, chain, out);
                   1200:   if(strloc != NULL){ 
                   1201:     /* will affect out */ /* strloc+strlenc(chain)=+V2 */ /* Will also work in Unicode */
                   1202:     memmove(strloc,strloc+strlen(chain), strlen(strloc+strlen(chain))+1);
                   1203:     /* strcpy (strloc, strloc +strlen(chain));*/
                   1204:   }
                   1205:   printf("Aft strloc=%s chain=%s in=%s out=%s \n", strloc, chain, in, out);
                   1206:   return out;
                   1207: }
                   1208: 
                   1209: 
1.145     brouard  1210: char *cutl(char *blocc, char *alocc, char *in, char occ)
                   1211: {
1.187     brouard  1212:   /* cuts string in into blocc and alocc where blocc ends before FIRST occurence of char 'occ' 
1.145     brouard  1213:      and alocc starts after first occurence of char 'occ' : ex cutv(blocc,alocc,"abcdef2ghi2j",'2')
1.187     brouard  1214:      gives blocc="abcdef" and alocc="ghi2j".
1.145     brouard  1215:      If occ is not found blocc is null and alocc is equal to in. Returns blocc
                   1216:   */
1.160     brouard  1217:   char *s, *t;
1.145     brouard  1218:   t=in;s=in;
                   1219:   while ((*in != occ) && (*in != '\0')){
                   1220:     *alocc++ = *in++;
                   1221:   }
                   1222:   if( *in == occ){
                   1223:     *(alocc)='\0';
                   1224:     s=++in;
                   1225:   }
                   1226:  
                   1227:   if (s == t) {/* occ not found */
                   1228:     *(alocc-(in-s))='\0';
                   1229:     in=s;
                   1230:   }
                   1231:   while ( *in != '\0'){
                   1232:     *blocc++ = *in++;
                   1233:   }
                   1234: 
                   1235:   *blocc='\0';
                   1236:   return t;
                   1237: }
1.137     brouard  1238: char *cutv(char *blocc, char *alocc, char *in, char occ)
                   1239: {
1.187     brouard  1240:   /* cuts string in into blocc and alocc where blocc ends before LAST occurence of char 'occ' 
1.137     brouard  1241:      and alocc starts after last occurence of char 'occ' : ex cutv(blocc,alocc,"abcdef2ghi2j",'2')
                   1242:      gives blocc="abcdef2ghi" and alocc="j".
                   1243:      If occ is not found blocc is null and alocc is equal to in. Returns alocc
                   1244:   */
                   1245:   char *s, *t;
                   1246:   t=in;s=in;
                   1247:   while (*in != '\0'){
                   1248:     while( *in == occ){
                   1249:       *blocc++ = *in++;
                   1250:       s=in;
                   1251:     }
                   1252:     *blocc++ = *in++;
                   1253:   }
                   1254:   if (s == t) /* occ not found */
                   1255:     *(blocc-(in-s))='\0';
                   1256:   else
                   1257:     *(blocc-(in-s)-1)='\0';
                   1258:   in=s;
                   1259:   while ( *in != '\0'){
                   1260:     *alocc++ = *in++;
                   1261:   }
                   1262: 
                   1263:   *alocc='\0';
                   1264:   return s;
                   1265: }
                   1266: 
1.126     brouard  1267: int nbocc(char *s, char occ)
                   1268: {
                   1269:   int i,j=0;
                   1270:   int lg=20;
                   1271:   i=0;
                   1272:   lg=strlen(s);
                   1273:   for(i=0; i<= lg; i++) {
                   1274:   if  (s[i] == occ ) j++;
                   1275:   }
                   1276:   return j;
                   1277: }
                   1278: 
1.137     brouard  1279: /* void cutv(char *u,char *v, char*t, char occ) */
                   1280: /* { */
                   1281: /*   /\* cuts string t into u and v where u ends before last occurence of char 'occ'  */
                   1282: /*      and v starts after last occurence of char 'occ' : ex cutv(u,v,"abcdef2ghi2j",'2') */
                   1283: /*      gives u="abcdef2ghi" and v="j" *\/ */
                   1284: /*   int i,lg,j,p=0; */
                   1285: /*   i=0; */
                   1286: /*   lg=strlen(t); */
                   1287: /*   for(j=0; j<=lg-1; j++) { */
                   1288: /*     if((t[j]!= occ) && (t[j+1]== occ)) p=j+1; */
                   1289: /*   } */
1.126     brouard  1290: 
1.137     brouard  1291: /*   for(j=0; j<p; j++) { */
                   1292: /*     (u[j] = t[j]); */
                   1293: /*   } */
                   1294: /*      u[p]='\0'; */
1.126     brouard  1295: 
1.137     brouard  1296: /*    for(j=0; j<= lg; j++) { */
                   1297: /*     if (j>=(p+1))(v[j-p-1] = t[j]); */
                   1298: /*   } */
                   1299: /* } */
1.126     brouard  1300: 
1.160     brouard  1301: #ifdef _WIN32
                   1302: char * strsep(char **pp, const char *delim)
                   1303: {
                   1304:   char *p, *q;
                   1305:          
                   1306:   if ((p = *pp) == NULL)
                   1307:     return 0;
                   1308:   if ((q = strpbrk (p, delim)) != NULL)
                   1309:   {
                   1310:     *pp = q + 1;
                   1311:     *q = '\0';
                   1312:   }
                   1313:   else
                   1314:     *pp = 0;
                   1315:   return p;
                   1316: }
                   1317: #endif
                   1318: 
1.126     brouard  1319: /********************** nrerror ********************/
                   1320: 
                   1321: void nrerror(char error_text[])
                   1322: {
                   1323:   fprintf(stderr,"ERREUR ...\n");
                   1324:   fprintf(stderr,"%s\n",error_text);
                   1325:   exit(EXIT_FAILURE);
                   1326: }
                   1327: /*********************** vector *******************/
                   1328: double *vector(int nl, int nh)
                   1329: {
                   1330:   double *v;
                   1331:   v=(double *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(double)));
                   1332:   if (!v) nrerror("allocation failure in vector");
                   1333:   return v-nl+NR_END;
                   1334: }
                   1335: 
                   1336: /************************ free vector ******************/
                   1337: void free_vector(double*v, int nl, int nh)
                   1338: {
                   1339:   free((FREE_ARG)(v+nl-NR_END));
                   1340: }
                   1341: 
                   1342: /************************ivector *******************************/
                   1343: int *ivector(long nl,long nh)
                   1344: {
                   1345:   int *v;
                   1346:   v=(int *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(int)));
                   1347:   if (!v) nrerror("allocation failure in ivector");
                   1348:   return v-nl+NR_END;
                   1349: }
                   1350: 
                   1351: /******************free ivector **************************/
                   1352: void free_ivector(int *v, long nl, long nh)
                   1353: {
                   1354:   free((FREE_ARG)(v+nl-NR_END));
                   1355: }
                   1356: 
                   1357: /************************lvector *******************************/
                   1358: long *lvector(long nl,long nh)
                   1359: {
                   1360:   long *v;
                   1361:   v=(long *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(long)));
                   1362:   if (!v) nrerror("allocation failure in ivector");
                   1363:   return v-nl+NR_END;
                   1364: }
                   1365: 
                   1366: /******************free lvector **************************/
                   1367: void free_lvector(long *v, long nl, long nh)
                   1368: {
                   1369:   free((FREE_ARG)(v+nl-NR_END));
                   1370: }
                   1371: 
                   1372: /******************* imatrix *******************************/
                   1373: int **imatrix(long nrl, long nrh, long ncl, long nch) 
                   1374:      /* allocate a int matrix with subscript range m[nrl..nrh][ncl..nch] */ 
                   1375: { 
                   1376:   long i, nrow=nrh-nrl+1,ncol=nch-ncl+1; 
                   1377:   int **m; 
                   1378:   
                   1379:   /* allocate pointers to rows */ 
                   1380:   m=(int **) malloc((size_t)((nrow+NR_END)*sizeof(int*))); 
                   1381:   if (!m) nrerror("allocation failure 1 in matrix()"); 
                   1382:   m += NR_END; 
                   1383:   m -= nrl; 
                   1384:   
                   1385:   
                   1386:   /* allocate rows and set pointers to them */ 
                   1387:   m[nrl]=(int *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(int))); 
                   1388:   if (!m[nrl]) nrerror("allocation failure 2 in matrix()"); 
                   1389:   m[nrl] += NR_END; 
                   1390:   m[nrl] -= ncl; 
                   1391:   
                   1392:   for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol; 
                   1393:   
                   1394:   /* return pointer to array of pointers to rows */ 
                   1395:   return m; 
                   1396: } 
                   1397: 
                   1398: /****************** free_imatrix *************************/
                   1399: void free_imatrix(m,nrl,nrh,ncl,nch)
                   1400:       int **m;
                   1401:       long nch,ncl,nrh,nrl; 
                   1402:      /* free an int matrix allocated by imatrix() */ 
                   1403: { 
                   1404:   free((FREE_ARG) (m[nrl]+ncl-NR_END)); 
                   1405:   free((FREE_ARG) (m+nrl-NR_END)); 
                   1406: } 
                   1407: 
                   1408: /******************* matrix *******************************/
                   1409: double **matrix(long nrl, long nrh, long ncl, long nch)
                   1410: {
                   1411:   long i, nrow=nrh-nrl+1, ncol=nch-ncl+1;
                   1412:   double **m;
                   1413: 
                   1414:   m=(double **) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
                   1415:   if (!m) nrerror("allocation failure 1 in matrix()");
                   1416:   m += NR_END;
                   1417:   m -= nrl;
                   1418: 
                   1419:   m[nrl]=(double *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
                   1420:   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
                   1421:   m[nrl] += NR_END;
                   1422:   m[nrl] -= ncl;
                   1423: 
                   1424:   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
                   1425:   return m;
1.145     brouard  1426:   /* print *(*(m+1)+70) or print m[1][70]; print m+1 or print &(m[1]) or &(m[1][0])
                   1427: m[i] = address of ith row of the table. &(m[i]) is its value which is another adress
                   1428: that of m[i][0]. In order to get the value p m[i][0] but it is unitialized.
1.126     brouard  1429:    */
                   1430: }
                   1431: 
                   1432: /*************************free matrix ************************/
                   1433: void free_matrix(double **m, long nrl, long nrh, long ncl, long nch)
                   1434: {
                   1435:   free((FREE_ARG)(m[nrl]+ncl-NR_END));
                   1436:   free((FREE_ARG)(m+nrl-NR_END));
                   1437: }
                   1438: 
                   1439: /******************* ma3x *******************************/
                   1440: double ***ma3x(long nrl, long nrh, long ncl, long nch, long nll, long nlh)
                   1441: {
                   1442:   long i, j, nrow=nrh-nrl+1, ncol=nch-ncl+1, nlay=nlh-nll+1;
                   1443:   double ***m;
                   1444: 
                   1445:   m=(double ***) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
                   1446:   if (!m) nrerror("allocation failure 1 in matrix()");
                   1447:   m += NR_END;
                   1448:   m -= nrl;
                   1449: 
                   1450:   m[nrl]=(double **) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
                   1451:   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
                   1452:   m[nrl] += NR_END;
                   1453:   m[nrl] -= ncl;
                   1454: 
                   1455:   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
                   1456: 
                   1457:   m[nrl][ncl]=(double *) malloc((size_t)((nrow*ncol*nlay+NR_END)*sizeof(double)));
                   1458:   if (!m[nrl][ncl]) nrerror("allocation failure 3 in matrix()");
                   1459:   m[nrl][ncl] += NR_END;
                   1460:   m[nrl][ncl] -= nll;
                   1461:   for (j=ncl+1; j<=nch; j++) 
                   1462:     m[nrl][j]=m[nrl][j-1]+nlay;
                   1463:   
                   1464:   for (i=nrl+1; i<=nrh; i++) {
                   1465:     m[i][ncl]=m[i-1l][ncl]+ncol*nlay;
                   1466:     for (j=ncl+1; j<=nch; j++) 
                   1467:       m[i][j]=m[i][j-1]+nlay;
                   1468:   }
                   1469:   return m; 
                   1470:   /*  gdb: p *(m+1) <=> p m[1] and p (m+1) <=> p (m+1) <=> p &(m[1])
                   1471:            &(m[i][j][k]) <=> *((*(m+i) + j)+k)
                   1472:   */
                   1473: }
                   1474: 
                   1475: /*************************free ma3x ************************/
                   1476: void free_ma3x(double ***m, long nrl, long nrh, long ncl, long nch,long nll, long nlh)
                   1477: {
                   1478:   free((FREE_ARG)(m[nrl][ncl]+ nll-NR_END));
                   1479:   free((FREE_ARG)(m[nrl]+ncl-NR_END));
                   1480:   free((FREE_ARG)(m+nrl-NR_END));
                   1481: }
                   1482: 
                   1483: /*************** function subdirf ***********/
                   1484: char *subdirf(char fileres[])
                   1485: {
                   1486:   /* Caution optionfilefiname is hidden */
                   1487:   strcpy(tmpout,optionfilefiname);
                   1488:   strcat(tmpout,"/"); /* Add to the right */
                   1489:   strcat(tmpout,fileres);
                   1490:   return tmpout;
                   1491: }
                   1492: 
                   1493: /*************** function subdirf2 ***********/
                   1494: char *subdirf2(char fileres[], char *preop)
                   1495: {
                   1496:   
                   1497:   /* Caution optionfilefiname is hidden */
                   1498:   strcpy(tmpout,optionfilefiname);
                   1499:   strcat(tmpout,"/");
                   1500:   strcat(tmpout,preop);
                   1501:   strcat(tmpout,fileres);
                   1502:   return tmpout;
                   1503: }
                   1504: 
                   1505: /*************** function subdirf3 ***********/
                   1506: char *subdirf3(char fileres[], char *preop, char *preop2)
                   1507: {
                   1508:   
                   1509:   /* Caution optionfilefiname is hidden */
                   1510:   strcpy(tmpout,optionfilefiname);
                   1511:   strcat(tmpout,"/");
                   1512:   strcat(tmpout,preop);
                   1513:   strcat(tmpout,preop2);
                   1514:   strcat(tmpout,fileres);
                   1515:   return tmpout;
                   1516: }
1.213     brouard  1517:  
                   1518: /*************** function subdirfext ***********/
                   1519: char *subdirfext(char fileres[], char *preop, char *postop)
                   1520: {
                   1521:   
                   1522:   strcpy(tmpout,preop);
                   1523:   strcat(tmpout,fileres);
                   1524:   strcat(tmpout,postop);
                   1525:   return tmpout;
                   1526: }
1.126     brouard  1527: 
1.213     brouard  1528: /*************** function subdirfext3 ***********/
                   1529: char *subdirfext3(char fileres[], char *preop, char *postop)
                   1530: {
                   1531:   
                   1532:   /* Caution optionfilefiname is hidden */
                   1533:   strcpy(tmpout,optionfilefiname);
                   1534:   strcat(tmpout,"/");
                   1535:   strcat(tmpout,preop);
                   1536:   strcat(tmpout,fileres);
                   1537:   strcat(tmpout,postop);
                   1538:   return tmpout;
                   1539: }
                   1540:  
1.162     brouard  1541: char *asc_diff_time(long time_sec, char ascdiff[])
                   1542: {
                   1543:   long sec_left, days, hours, minutes;
                   1544:   days = (time_sec) / (60*60*24);
                   1545:   sec_left = (time_sec) % (60*60*24);
                   1546:   hours = (sec_left) / (60*60) ;
                   1547:   sec_left = (sec_left) %(60*60);
                   1548:   minutes = (sec_left) /60;
                   1549:   sec_left = (sec_left) % (60);
                   1550:   sprintf(ascdiff,"%ld day(s) %ld hour(s) %ld minute(s) %ld second(s)",days, hours, minutes, sec_left);  
                   1551:   return ascdiff;
                   1552: }
                   1553: 
1.126     brouard  1554: /***************** f1dim *************************/
                   1555: extern int ncom; 
                   1556: extern double *pcom,*xicom;
                   1557: extern double (*nrfunc)(double []); 
                   1558:  
                   1559: double f1dim(double x) 
                   1560: { 
                   1561:   int j; 
                   1562:   double f;
                   1563:   double *xt; 
                   1564:  
                   1565:   xt=vector(1,ncom); 
                   1566:   for (j=1;j<=ncom;j++) xt[j]=pcom[j]+x*xicom[j]; 
                   1567:   f=(*nrfunc)(xt); 
                   1568:   free_vector(xt,1,ncom); 
                   1569:   return f; 
                   1570: } 
                   1571: 
                   1572: /*****************brent *************************/
                   1573: double brent(double ax, double bx, double cx, double (*f)(double), double tol,         double *xmin) 
1.187     brouard  1574: {
                   1575:   /* Given a function f, and given a bracketing triplet of abscissas ax, bx, cx (such that bx is
                   1576:    * between ax and cx, and f(bx) is less than both f(ax) and f(cx) ), this routine isolates
                   1577:    * the minimum to a fractional precision of about tol using Brent’s method. The abscissa of
                   1578:    * the minimum is returned as xmin, and the minimum function value is returned as brent , the
                   1579:    * returned function value. 
                   1580:   */
1.126     brouard  1581:   int iter; 
                   1582:   double a,b,d,etemp;
1.159     brouard  1583:   double fu=0,fv,fw,fx;
1.164     brouard  1584:   double ftemp=0.;
1.126     brouard  1585:   double p,q,r,tol1,tol2,u,v,w,x,xm; 
                   1586:   double e=0.0; 
                   1587:  
                   1588:   a=(ax < cx ? ax : cx); 
                   1589:   b=(ax > cx ? ax : cx); 
                   1590:   x=w=v=bx; 
                   1591:   fw=fv=fx=(*f)(x); 
                   1592:   for (iter=1;iter<=ITMAX;iter++) { 
                   1593:     xm=0.5*(a+b); 
                   1594:     tol2=2.0*(tol1=tol*fabs(x)+ZEPS); 
                   1595:     /*         if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret)))*/
                   1596:     printf(".");fflush(stdout);
                   1597:     fprintf(ficlog,".");fflush(ficlog);
1.162     brouard  1598: #ifdef DEBUGBRENT
1.126     brouard  1599:     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);
                   1600:     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);
                   1601:     /*         if ((fabs(x-xm) <= (tol2-0.5*(b-a)))||(2.0*fabs(fu-ftemp) <= ftol*1.e-2*(fabs(fu)+fabs(ftemp)))) { */
                   1602: #endif
                   1603:     if (fabs(x-xm) <= (tol2-0.5*(b-a))){ 
                   1604:       *xmin=x; 
                   1605:       return fx; 
                   1606:     } 
                   1607:     ftemp=fu;
                   1608:     if (fabs(e) > tol1) { 
                   1609:       r=(x-w)*(fx-fv); 
                   1610:       q=(x-v)*(fx-fw); 
                   1611:       p=(x-v)*q-(x-w)*r; 
                   1612:       q=2.0*(q-r); 
                   1613:       if (q > 0.0) p = -p; 
                   1614:       q=fabs(q); 
                   1615:       etemp=e; 
                   1616:       e=d; 
                   1617:       if (fabs(p) >= fabs(0.5*q*etemp) || p <= q*(a-x) || p >= q*(b-x)) 
1.224     brouard  1618:                                d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
1.126     brouard  1619:       else { 
1.224     brouard  1620:                                d=p/q; 
                   1621:                                u=x+d; 
                   1622:                                if (u-a < tol2 || b-u < tol2) 
                   1623:                                        d=SIGN(tol1,xm-x); 
1.126     brouard  1624:       } 
                   1625:     } else { 
                   1626:       d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
                   1627:     } 
                   1628:     u=(fabs(d) >= tol1 ? x+d : x+SIGN(tol1,d)); 
                   1629:     fu=(*f)(u); 
                   1630:     if (fu <= fx) { 
                   1631:       if (u >= x) a=x; else b=x; 
                   1632:       SHFT(v,w,x,u) 
1.183     brouard  1633:       SHFT(fv,fw,fx,fu) 
                   1634:     } else { 
                   1635:       if (u < x) a=u; else b=u; 
                   1636:       if (fu <= fw || w == x) { 
1.224     brouard  1637:                                v=w; 
                   1638:                                w=u; 
                   1639:                                fv=fw; 
                   1640:                                fw=fu; 
1.183     brouard  1641:       } else if (fu <= fv || v == x || v == w) { 
1.224     brouard  1642:                                v=u; 
                   1643:                                fv=fu; 
1.183     brouard  1644:       } 
                   1645:     } 
1.126     brouard  1646:   } 
                   1647:   nrerror("Too many iterations in brent"); 
                   1648:   *xmin=x; 
                   1649:   return fx; 
                   1650: } 
                   1651: 
                   1652: /****************** mnbrak ***********************/
                   1653: 
                   1654: void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, double *fc, 
                   1655:            double (*func)(double)) 
1.183     brouard  1656: { /* Given a function func , and given distinct initial points ax and bx , this routine searches in
                   1657: the downhill direction (defined by the function as evaluated at the initial points) and returns
                   1658: new points ax , bx , cx that bracket a minimum of the function. Also returned are the function
                   1659: values at the three points, fa, fb , and fc such that fa > fb and fb < fc.
                   1660:    */
1.126     brouard  1661:   double ulim,u,r,q, dum;
                   1662:   double fu; 
1.187     brouard  1663: 
                   1664:   double scale=10.;
                   1665:   int iterscale=0;
                   1666: 
                   1667:   *fa=(*func)(*ax); /*  xta[j]=pcom[j]+(*ax)*xicom[j]; fa=f(xta[j])*/
                   1668:   *fb=(*func)(*bx); /*  xtb[j]=pcom[j]+(*bx)*xicom[j]; fb=f(xtb[j]) */
                   1669: 
                   1670: 
                   1671:   /* while(*fb != *fb){ /\* *ax should be ok, reducing distance to *ax *\/ */
                   1672:   /*   printf("Warning mnbrak *fb = %lf, *bx=%lf *ax=%lf *fa==%lf iter=%d\n",*fb, *bx, *ax, *fa, iterscale++); */
                   1673:   /*   *bx = *ax - (*ax - *bx)/scale; */
                   1674:   /*   *fb=(*func)(*bx);  /\*  xtb[j]=pcom[j]+(*bx)*xicom[j]; fb=f(xtb[j]) *\/ */
                   1675:   /* } */
                   1676: 
1.126     brouard  1677:   if (*fb > *fa) { 
                   1678:     SHFT(dum,*ax,*bx,dum) 
1.183     brouard  1679:     SHFT(dum,*fb,*fa,dum) 
                   1680:   } 
1.126     brouard  1681:   *cx=(*bx)+GOLD*(*bx-*ax); 
                   1682:   *fc=(*func)(*cx); 
1.183     brouard  1683: #ifdef DEBUG
1.224     brouard  1684:   printf("mnbrak0 a=%lf *fa=%lf, b=%lf *fb=%lf, c=%lf *fc=%lf\n",*ax,*fa,*bx,*fb,*cx, *fc);
                   1685:   fprintf(ficlog,"mnbrak0 a=%lf *fa=%lf, b=%lf *fb=%lf, c=%lf *fc=%lf\n",*ax,*fa,*bx,*fb,*cx, *fc);
1.183     brouard  1686: #endif
1.224     brouard  1687:   while (*fb > *fc) { /* Declining a,b,c with fa> fb > fc. If fc=inf it exits and if flat fb=fc it exits too.*/
1.126     brouard  1688:     r=(*bx-*ax)*(*fb-*fc); 
1.224     brouard  1689:     q=(*bx-*cx)*(*fb-*fa); /* What if fa=inf */
1.126     brouard  1690:     u=(*bx)-((*bx-*cx)*q-(*bx-*ax)*r)/ 
1.183     brouard  1691:       (2.0*SIGN(FMAX(fabs(q-r),TINY),q-r)); /* Minimum abscissa of a parabolic estimated from (a,fa), (b,fb) and (c,fc). */
                   1692:     ulim=(*bx)+GLIMIT*(*cx-*bx); /* Maximum abscissa where function should be evaluated */
                   1693:     if ((*bx-u)*(u-*cx) > 0.0) { /* if u_p is between b and c */
1.126     brouard  1694:       fu=(*func)(u); 
1.163     brouard  1695: #ifdef DEBUG
                   1696:       /* f(x)=A(x-u)**2+f(u) */
                   1697:       double A, fparabu; 
                   1698:       A= (*fb - *fa)/(*bx-*ax)/(*bx+*ax-2*u);
                   1699:       fparabu= *fa - A*(*ax-u)*(*ax-u);
1.224     brouard  1700:       printf("\nmnbrak (*ax=%.12f, *fa=%.12lf), (*bx=%.12f, *fb=%.12lf), (*cx=%.12f, *fc=%.12lf),  (*u=%.12f, fu=%.12lf, fparabu=%.12f, q=%lf < %lf=r)\n",*ax,*fa,*bx,*fb,*cx,*fc,u,fu, fparabu,q,r);
                   1701:       fprintf(ficlog,"\nmnbrak (*ax=%.12f, *fa=%.12lf), (*bx=%.12f, *fb=%.12lf), (*cx=%.12f, *fc=%.12lf),  (*u=%.12f, fu=%.12lf, fparabu=%.12f, q=%lf < %lf=r)\n",*ax,*fa,*bx,*fb,*cx,*fc,u,fu, fparabu,q,r);
1.183     brouard  1702:       /* And thus,it can be that fu > *fc even if fparabu < *fc */
                   1703:       /* mnbrak (*ax=7.666299858533, *fa=299039.693133272231), (*bx=8.595447774979, *fb=298976.598289369489),
                   1704:         (*cx=10.098840694817, *fc=298946.631474258087),  (*u=9.852501168332, fu=298948.773013752128, fparabu=298945.434711494134) */
                   1705:       /* In that case, there is no bracket in the output! Routine is wrong with many consequences.*/
1.163     brouard  1706: #endif 
1.184     brouard  1707: #ifdef MNBRAKORIGINAL
1.183     brouard  1708: #else
1.191     brouard  1709: /*       if (fu > *fc) { */
                   1710: /* #ifdef DEBUG */
                   1711: /*       printf("mnbrak4  fu > fc \n"); */
                   1712: /*       fprintf(ficlog, "mnbrak4 fu > fc\n"); */
                   1713: /* #endif */
                   1714: /*     /\* 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 *\\/  *\/ */
                   1715: /*     /\* SHFT(*fa,*fc,fu,*fc) /\\* (b, u, c) is a bracket while test fb > fc will be fu > fc  will exit *\\/ *\/ */
                   1716: /*     dum=u; /\* Shifting c and u *\/ */
                   1717: /*     u = *cx; */
                   1718: /*     *cx = dum; */
                   1719: /*     dum = fu; */
                   1720: /*     fu = *fc; */
                   1721: /*     *fc =dum; */
                   1722: /*       } else { /\* end *\/ */
                   1723: /* #ifdef DEBUG */
                   1724: /*       printf("mnbrak3  fu < fc \n"); */
                   1725: /*       fprintf(ficlog, "mnbrak3 fu < fc\n"); */
                   1726: /* #endif */
                   1727: /*     dum=u; /\* Shifting c and u *\/ */
                   1728: /*     u = *cx; */
                   1729: /*     *cx = dum; */
                   1730: /*     dum = fu; */
                   1731: /*     fu = *fc; */
                   1732: /*     *fc =dum; */
                   1733: /*       } */
1.224     brouard  1734: #ifdef DEBUGMNBRAK
                   1735:                 double A, fparabu; 
                   1736:      A= (*fb - *fa)/(*bx-*ax)/(*bx+*ax-2*u);
                   1737:      fparabu= *fa - A*(*ax-u)*(*ax-u);
                   1738:      printf("\nmnbrak35 ax=%lf fa=%lf bx=%lf fb=%lf, u=%lf fp=%lf fu=%lf < or >= fc=%lf cx=%lf, q=%lf < %lf=r \n",*ax, *fa, *bx,*fb,u,fparabu,fu,*fc,*cx,q,r);
                   1739:      fprintf(ficlog,"\nmnbrak35 ax=%lf fa=%lf bx=%lf fb=%lf, u=%lf fp=%lf fu=%lf < or >= fc=%lf cx=%lf, q=%lf < %lf=r \n",*ax, *fa, *bx,*fb,u,fparabu,fu,*fc,*cx,q,r);
1.183     brouard  1740: #endif
1.191     brouard  1741:       dum=u; /* Shifting c and u */
                   1742:       u = *cx;
                   1743:       *cx = dum;
                   1744:       dum = fu;
                   1745:       fu = *fc;
                   1746:       *fc =dum;
1.183     brouard  1747: #endif
1.162     brouard  1748:     } else if ((*cx-u)*(u-ulim) > 0.0) { /* u is after c but before ulim */
1.183     brouard  1749: #ifdef DEBUG
1.224     brouard  1750:       printf("\nmnbrak2  u=%lf after c=%lf but before ulim\n",u,*cx);
                   1751:       fprintf(ficlog,"\nmnbrak2  u=%lf after c=%lf but before ulim\n",u,*cx);
1.183     brouard  1752: #endif
1.126     brouard  1753:       fu=(*func)(u); 
                   1754:       if (fu < *fc) { 
1.183     brouard  1755: #ifdef DEBUG
1.224     brouard  1756:                                printf("\nmnbrak2  u=%lf after c=%lf but before ulim=%lf AND fu=%lf < %lf=fc\n",u,*cx,ulim,fu, *fc);
                   1757:                          fprintf(ficlog,"\nmnbrak2  u=%lf after c=%lf but before ulim=%lf AND fu=%lf < %lf=fc\n",u,*cx,ulim,fu, *fc);
                   1758: #endif
                   1759:                          SHFT(*bx,*cx,u,*cx+GOLD*(*cx-*bx)) 
                   1760:                                SHFT(*fb,*fc,fu,(*func)(u)) 
                   1761: #ifdef DEBUG
                   1762:                                        printf("\nmnbrak2 shift GOLD c=%lf",*cx+GOLD*(*cx-*bx));
1.183     brouard  1763: #endif
                   1764:       } 
1.162     brouard  1765:     } else if ((u-ulim)*(ulim-*cx) >= 0.0) { /* u outside ulim (verifying that ulim is beyond c) */
1.183     brouard  1766: #ifdef DEBUG
1.224     brouard  1767:       printf("\nmnbrak2  u=%lf outside ulim=%lf (verifying that ulim is beyond c=%lf)\n",u,ulim,*cx);
                   1768:       fprintf(ficlog,"\nmnbrak2  u=%lf outside ulim=%lf (verifying that ulim is beyond c=%lf)\n",u,ulim,*cx);
1.183     brouard  1769: #endif
1.126     brouard  1770:       u=ulim; 
                   1771:       fu=(*func)(u); 
1.183     brouard  1772:     } else { /* u could be left to b (if r > q parabola has a maximum) */
                   1773: #ifdef DEBUG
1.224     brouard  1774:       printf("\nmnbrak2  u=%lf could be left to b=%lf (if r=%lf > q=%lf parabola has a maximum)\n",u,*bx,r,q);
                   1775:       fprintf(ficlog,"\nmnbrak2  u=%lf could be left to b=%lf (if r=%lf > q=%lf parabola has a maximum)\n",u,*bx,r,q);
1.183     brouard  1776: #endif
1.126     brouard  1777:       u=(*cx)+GOLD*(*cx-*bx); 
                   1778:       fu=(*func)(u); 
1.224     brouard  1779: #ifdef DEBUG
                   1780:       printf("\nmnbrak2 new u=%lf fu=%lf shifted gold left from c=%lf and b=%lf \n",u,fu,*cx,*bx);
                   1781:       fprintf(ficlog,"\nmnbrak2 new u=%lf fu=%lf shifted gold left from c=%lf and b=%lf \n",u,fu,*cx,*bx);
                   1782: #endif
1.183     brouard  1783:     } /* end tests */
1.126     brouard  1784:     SHFT(*ax,*bx,*cx,u) 
1.183     brouard  1785:     SHFT(*fa,*fb,*fc,fu) 
                   1786: #ifdef DEBUG
1.224     brouard  1787:       printf("\nmnbrak2 shift (*ax=%.12f, *fa=%.12lf), (*bx=%.12f, *fb=%.12lf), (*cx=%.12f, *fc=%.12lf)\n",*ax,*fa,*bx,*fb,*cx,*fc);
                   1788:       fprintf(ficlog, "\nmnbrak2 shift (*ax=%.12f, *fa=%.12lf), (*bx=%.12f, *fb=%.12lf), (*cx=%.12f, *fc=%.12lf)\n",*ax,*fa,*bx,*fb,*cx,*fc);
1.183     brouard  1789: #endif
                   1790:   } /* 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  1791: } 
                   1792: 
                   1793: /*************** linmin ************************/
1.162     brouard  1794: /* Given an n -dimensional point p[1..n] and an n -dimensional direction xi[1..n] , moves and
                   1795: resets p to where the function func(p) takes on a minimum along the direction xi from p ,
                   1796: and replaces xi by the actual vector displacement that p was moved. Also returns as fret
                   1797: the value of func at the returned location p . This is actually all accomplished by calling the
                   1798: routines mnbrak and brent .*/
1.126     brouard  1799: int ncom; 
                   1800: double *pcom,*xicom;
                   1801: double (*nrfunc)(double []); 
                   1802:  
1.224     brouard  1803: #ifdef LINMINORIGINAL
1.126     brouard  1804: void linmin(double p[], double xi[], int n, double *fret,double (*func)(double [])) 
1.224     brouard  1805: #else
                   1806: void linmin(double p[], double xi[], int n, double *fret,double (*func)(double []), int *flat) 
                   1807: #endif
1.126     brouard  1808: { 
                   1809:   double brent(double ax, double bx, double cx, 
                   1810:               double (*f)(double), double tol, double *xmin); 
                   1811:   double f1dim(double x); 
                   1812:   void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, 
                   1813:              double *fc, double (*func)(double)); 
                   1814:   int j; 
                   1815:   double xx,xmin,bx,ax; 
                   1816:   double fx,fb,fa;
1.187     brouard  1817: 
1.203     brouard  1818: #ifdef LINMINORIGINAL
                   1819: #else
                   1820:   double scale=10., axs, xxs; /* Scale added for infinity */
                   1821: #endif
                   1822:   
1.126     brouard  1823:   ncom=n; 
                   1824:   pcom=vector(1,n); 
                   1825:   xicom=vector(1,n); 
                   1826:   nrfunc=func; 
                   1827:   for (j=1;j<=n;j++) { 
                   1828:     pcom[j]=p[j]; 
1.202     brouard  1829:     xicom[j]=xi[j]; /* Former scale xi[j] of currrent direction i */
1.126     brouard  1830:   } 
1.187     brouard  1831: 
1.203     brouard  1832: #ifdef LINMINORIGINAL
                   1833:   xx=1.;
                   1834: #else
                   1835:   axs=0.0;
                   1836:   xxs=1.;
                   1837:   do{
                   1838:     xx= xxs;
                   1839: #endif
1.187     brouard  1840:     ax=0.;
                   1841:     mnbrak(&ax,&xx,&bx,&fa,&fx,&fb,f1dim);  /* Outputs: xtx[j]=pcom[j]+(*xx)*xicom[j]; fx=f(xtx[j]) */
                   1842:     /* brackets with inputs ax=0 and xx=1, but points, pcom=p, and directions values, xicom=xi, are sent via f1dim(x) */
                   1843:     /* 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))   */
                   1844:     /* Outputs: fa=f(p(j)) and fx=f(p(j) + xxs * xi(j) ) and f(bx)= f(p(j)+ bx* xi(j)) */
                   1845:     /* Given input ax=axs and xx=xxs, xx might be too far from ax to get a finite f(xx) */
                   1846:     /* Searches on line, outputs (ax, xx, bx) such that fx < min(fa and fb) */
                   1847:     /* 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  1848: #ifdef LINMINORIGINAL
                   1849: #else
                   1850:     if (fx != fx){
1.224     brouard  1851:                        xxs=xxs/scale; /* Trying a smaller xx, closer to initial ax=0 */
                   1852:                        printf("|");
                   1853:                        fprintf(ficlog,"|");
1.203     brouard  1854: #ifdef DEBUGLINMIN
1.224     brouard  1855:                        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);
1.203     brouard  1856: #endif
                   1857:     }
1.224     brouard  1858:   }while(fx != fx && xxs > 1.e-5);
1.203     brouard  1859: #endif
                   1860:   
1.191     brouard  1861: #ifdef DEBUGLINMIN
                   1862:   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  1863:   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  1864: #endif
1.224     brouard  1865: #ifdef LINMINORIGINAL
                   1866: #else
                   1867:        if(fb == fx){ /* Flat function in the direction */
                   1868:                xmin=xx;
                   1869:     *flat=1;
                   1870:        }else{
                   1871:     *flat=0;
                   1872: #endif
                   1873:                /*Flat mnbrak2 shift (*ax=0.000000000000, *fa=51626.272983130431), (*bx=-1.618034000000, *fb=51590.149499362531), (*cx=-4.236068025156, *fc=51590.149499362531) */
1.187     brouard  1874:   *fret=brent(ax,xx,bx,f1dim,TOL,&xmin); /* Giving a bracketting triplet (ax, xx, bx), find a minimum, xmin, according to f1dim, *fret(xmin),*/
                   1875:   /* fa = f(p[j] + ax * xi[j]), fx = f(p[j] + xx * xi[j]), fb = f(p[j] + bx * xi[j]) */
                   1876:   /* fmin = f(p[j] + xmin * xi[j]) */
                   1877:   /* P+lambda n in that direction (lambdamin), with TOL between abscisses */
                   1878:   /* f1dim(xmin): for (j=1;j<=ncom;j++) xt[j]=pcom[j]+xmin*xicom[j]; */
1.126     brouard  1879: #ifdef DEBUG
1.224     brouard  1880:   printf("retour brent from bracket (a=%lf fa=%lf, xx=%lf fx=%lf, b=%lf fb=%lf): fret=%lf xmin=%lf\n",ax,fa,xx,fx,bx,fb,*fret,xmin);
                   1881:   fprintf(ficlog,"retour brent from bracket (a=%lf fa=%lf, xx=%lf fx=%lf, b=%lf fb=%lf): fret=%lf xmin=%lf\n",ax,fa,xx,fx,bx,fb,*fret,xmin);
                   1882: #endif
                   1883: #ifdef LINMINORIGINAL
                   1884: #else
                   1885:                        }
1.126     brouard  1886: #endif
1.191     brouard  1887: #ifdef DEBUGLINMIN
                   1888:   printf("linmin end ");
1.202     brouard  1889:   fprintf(ficlog,"linmin end ");
1.191     brouard  1890: #endif
1.126     brouard  1891:   for (j=1;j<=n;j++) { 
1.203     brouard  1892: #ifdef LINMINORIGINAL
                   1893:     xi[j] *= xmin; 
                   1894: #else
                   1895: #ifdef DEBUGLINMIN
                   1896:     if(xxs <1.0)
                   1897:       printf(" before xi[%d]=%12.8f", j,xi[j]);
                   1898: #endif
                   1899:     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) */
                   1900: #ifdef DEBUGLINMIN
                   1901:     if(xxs <1.0)
                   1902:       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 );
                   1903: #endif
                   1904: #endif
1.187     brouard  1905:     p[j] += xi[j]; /* Parameters values are updated accordingly */
1.126     brouard  1906:   } 
1.191     brouard  1907: #ifdef DEBUGLINMIN
1.203     brouard  1908:   printf("\n");
1.191     brouard  1909:   printf("Comparing last *frec(xmin=%12.8f)=%12.8f from Brent and frec(0.)=%12.8f \n", xmin, *fret, (*func)(p));
1.202     brouard  1910:   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  1911:   for (j=1;j<=n;j++) { 
1.202     brouard  1912:     printf(" xi[%d]= %14.10f p[%d]= %12.7f",j,xi[j],j,p[j]);
                   1913:     fprintf(ficlog," xi[%d]= %14.10f p[%d]= %12.7f",j,xi[j],j,p[j]);
                   1914:     if(j % ncovmodel == 0){
1.191     brouard  1915:       printf("\n");
1.202     brouard  1916:       fprintf(ficlog,"\n");
                   1917:     }
1.191     brouard  1918:   }
1.203     brouard  1919: #else
1.191     brouard  1920: #endif
1.126     brouard  1921:   free_vector(xicom,1,n); 
                   1922:   free_vector(pcom,1,n); 
                   1923: } 
                   1924: 
                   1925: 
                   1926: /*************** powell ************************/
1.162     brouard  1927: /*
                   1928: Minimization of a function func of n variables. Input consists of an initial starting point
                   1929: p[1..n] ; an initial matrix xi[1..n][1..n] , whose columns contain the initial set of di-
                   1930: rections (usually the n unit vectors); and ftol , the fractional tolerance in the function value
                   1931: such that failure to decrease by more than this amount on one iteration signals doneness. On
                   1932: output, p is set to the best point found, xi is the then-current direction set, fret is the returned
                   1933: function value at p , and iter is the number of iterations taken. The routine linmin is used.
                   1934:  */
1.224     brouard  1935: #ifdef LINMINORIGINAL
                   1936: #else
                   1937:        int *flatdir; /* Function is vanishing in that direction */
1.225     brouard  1938:        int flat=0, flatd=0; /* Function is vanishing in that direction */
1.224     brouard  1939: #endif
1.126     brouard  1940: void powell(double p[], double **xi, int n, double ftol, int *iter, double *fret, 
                   1941:            double (*func)(double [])) 
                   1942: { 
1.224     brouard  1943: #ifdef LINMINORIGINAL
                   1944:  void linmin(double p[], double xi[], int n, double *fret, 
1.126     brouard  1945:              double (*func)(double [])); 
1.224     brouard  1946: #else 
                   1947:  void linmin(double p[], double xi[], int n, double *fret, 
                   1948:                                                 double (*func)(double []),int *flat); 
                   1949: #endif
1.126     brouard  1950:   int i,ibig,j; 
                   1951:   double del,t,*pt,*ptt,*xit;
1.181     brouard  1952:   double directest;
1.126     brouard  1953:   double fp,fptt;
                   1954:   double *xits;
                   1955:   int niterf, itmp;
1.224     brouard  1956: #ifdef LINMINORIGINAL
                   1957: #else
                   1958: 
                   1959:   flatdir=ivector(1,n); 
                   1960:   for (j=1;j<=n;j++) flatdir[j]=0; 
                   1961: #endif
1.126     brouard  1962: 
                   1963:   pt=vector(1,n); 
                   1964:   ptt=vector(1,n); 
                   1965:   xit=vector(1,n); 
                   1966:   xits=vector(1,n); 
                   1967:   *fret=(*func)(p); 
                   1968:   for (j=1;j<=n;j++) pt[j]=p[j]; 
1.202     brouard  1969:   rcurr_time = time(NULL);  
1.126     brouard  1970:   for (*iter=1;;++(*iter)) { 
1.187     brouard  1971:     fp=(*fret); /* From former iteration or initial value */
1.126     brouard  1972:     ibig=0; 
                   1973:     del=0.0; 
1.157     brouard  1974:     rlast_time=rcurr_time;
                   1975:     /* (void) gettimeofday(&curr_time,&tzp); */
                   1976:     rcurr_time = time(NULL);  
                   1977:     curr_time = *localtime(&rcurr_time);
                   1978:     printf("\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret, rcurr_time-rlast_time, rcurr_time-rstart_time);fflush(stdout);
                   1979:     fprintf(ficlog,"\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret,rcurr_time-rlast_time, rcurr_time-rstart_time); fflush(ficlog);
                   1980: /*     fprintf(ficrespow,"%d %.12f %ld",*iter,*fret,curr_time.tm_sec-start_time.tm_sec); */
1.192     brouard  1981:     for (i=1;i<=n;i++) {
1.126     brouard  1982:       printf(" %d %.12f",i, p[i]);
                   1983:       fprintf(ficlog," %d %.12lf",i, p[i]);
                   1984:       fprintf(ficrespow," %.12lf", p[i]);
                   1985:     }
                   1986:     printf("\n");
                   1987:     fprintf(ficlog,"\n");
                   1988:     fprintf(ficrespow,"\n");fflush(ficrespow);
                   1989:     if(*iter <=3){
1.157     brouard  1990:       tml = *localtime(&rcurr_time);
                   1991:       strcpy(strcurr,asctime(&tml));
                   1992:       rforecast_time=rcurr_time; 
1.126     brouard  1993:       itmp = strlen(strcurr);
                   1994:       if(strcurr[itmp-1]=='\n')  /* Windows outputs with a new line */
1.224     brouard  1995:                                strcurr[itmp-1]='\0';
1.162     brouard  1996:       printf("\nConsidering the time needed for the last iteration #%d: %ld seconds,\n",*iter,rcurr_time-rlast_time);
1.157     brouard  1997:       fprintf(ficlog,"\nConsidering the time needed for this last iteration #%d: %ld seconds,\n",*iter,rcurr_time-rlast_time);
1.126     brouard  1998:       for(niterf=10;niterf<=30;niterf+=10){
1.224     brouard  1999:                                rforecast_time=rcurr_time+(niterf-*iter)*(rcurr_time-rlast_time);
                   2000:                                forecast_time = *localtime(&rforecast_time);
                   2001:                                strcpy(strfor,asctime(&forecast_time));
                   2002:                                itmp = strlen(strfor);
                   2003:                                if(strfor[itmp-1]=='\n')
                   2004:                                        strfor[itmp-1]='\0';
                   2005:                                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);
                   2006:                                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  2007:       }
                   2008:     }
1.187     brouard  2009:     for (i=1;i<=n;i++) { /* For each direction i */
                   2010:       for (j=1;j<=n;j++) xit[j]=xi[j][i]; /* Directions stored from previous iteration with previous scales */
1.126     brouard  2011:       fptt=(*fret); 
                   2012: #ifdef DEBUG
1.203     brouard  2013:       printf("fret=%lf, %lf, %lf \n", *fret, *fret, *fret);
                   2014:       fprintf(ficlog, "fret=%lf, %lf, %lf \n", *fret, *fret, *fret);
1.126     brouard  2015: #endif
1.203     brouard  2016:       printf("%d",i);fflush(stdout); /* print direction (parameter) i */
1.126     brouard  2017:       fprintf(ficlog,"%d",i);fflush(ficlog);
1.224     brouard  2018: #ifdef LINMINORIGINAL
1.188     brouard  2019:       linmin(p,xit,n,fret,func); /* Point p[n]. xit[n] has been loaded for direction i as input.*/
1.224     brouard  2020: #else
                   2021:       linmin(p,xit,n,fret,func,&flat); /* Point p[n]. xit[n] has been loaded for direction i as input.*/
                   2022:                        flatdir[i]=flat; /* Function is vanishing in that direction i */
                   2023: #endif
                   2024:                        /* Outputs are fret(new point p) p is updated and xit rescaled */
1.188     brouard  2025:       if (fabs(fptt-(*fret)) > del) { /* We are keeping the max gain on each of the n directions */
1.224     brouard  2026:                                /* because that direction will be replaced unless the gain del is small */
                   2027:                                /* in comparison with the 'probable' gain, mu^2, with the last average direction. */
                   2028:                                /* Unless the n directions are conjugate some gain in the determinant may be obtained */
                   2029:                                /* with the new direction. */
                   2030:                                del=fabs(fptt-(*fret)); 
                   2031:                                ibig=i; 
1.126     brouard  2032:       } 
                   2033: #ifdef DEBUG
                   2034:       printf("%d %.12e",i,(*fret));
                   2035:       fprintf(ficlog,"%d %.12e",i,(*fret));
                   2036:       for (j=1;j<=n;j++) {
1.224     brouard  2037:                                xits[j]=FMAX(fabs(p[j]-pt[j]),1.e-5);
                   2038:                                printf(" x(%d)=%.12e",j,xit[j]);
                   2039:                                fprintf(ficlog," x(%d)=%.12e",j,xit[j]);
1.126     brouard  2040:       }
                   2041:       for(j=1;j<=n;j++) {
1.225     brouard  2042:                                printf(" p(%d)=%.12e",j,p[j]);
                   2043:                                fprintf(ficlog," p(%d)=%.12e",j,p[j]);
1.126     brouard  2044:       }
                   2045:       printf("\n");
                   2046:       fprintf(ficlog,"\n");
                   2047: #endif
1.187     brouard  2048:     } /* end loop on each direction i */
                   2049:     /* Convergence test will use last linmin estimation (fret) and compare former iteration (fp) */ 
1.188     brouard  2050:     /* But p and xit have been updated at the end of linmin, *fret corresponds to new p, xit  */
1.187     brouard  2051:     /* New value of last point Pn is not computed, P(n-1) */
1.224     brouard  2052:       for(j=1;j<=n;j++) {
1.225     brouard  2053:                                if(flatdir[j] >0){
                   2054:                                        printf(" p(%d)=%lf flat=%d ",j,p[j],flatdir[j]);
                   2055:                                        fprintf(ficlog," p(%d)=%lf flat=%d ",j,p[j],flatdir[j]);
                   2056:                                }
                   2057:                                /* printf("\n"); */
                   2058:                                /* fprintf(ficlog,"\n"); */
                   2059:                        }
1.182     brouard  2060:     if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret))) { /* Did we reach enough precision? */
1.188     brouard  2061:       /* We could compare with a chi^2. chisquare(0.95,ddl=1)=3.84 */
                   2062:       /* By adding age*age in a model, the new -2LL should be lower and the difference follows a */
                   2063:       /* a chisquare statistics with 1 degree. To be significant at the 95% level, it should have */
                   2064:       /* decreased of more than 3.84  */
                   2065:       /* By adding age*age and V1*age the gain (-2LL) should be more than 5.99 (ddl=2) */
                   2066:       /* By using V1+V2+V3, the gain should be  7.82, compared with basic 1+age. */
                   2067:       /* By adding 10 parameters more the gain should be 18.31 */
1.224     brouard  2068:                        
1.188     brouard  2069:       /* Starting the program with initial values given by a former maximization will simply change */
                   2070:       /* the scales of the directions and the directions, because the are reset to canonical directions */
                   2071:       /* Thus the first calls to linmin will give new points and better maximizations until fp-(*fret) is */
                   2072:       /* under the tolerance value. If the tolerance is very small 1.e-9, it could last long.  */
1.126     brouard  2073: #ifdef DEBUG
                   2074:       int k[2],l;
                   2075:       k[0]=1;
                   2076:       k[1]=-1;
                   2077:       printf("Max: %.12e",(*func)(p));
                   2078:       fprintf(ficlog,"Max: %.12e",(*func)(p));
                   2079:       for (j=1;j<=n;j++) {
                   2080:        printf(" %.12e",p[j]);
                   2081:        fprintf(ficlog," %.12e",p[j]);
                   2082:       }
                   2083:       printf("\n");
                   2084:       fprintf(ficlog,"\n");
                   2085:       for(l=0;l<=1;l++) {
                   2086:        for (j=1;j<=n;j++) {
                   2087:          ptt[j]=p[j]+(p[j]-pt[j])*k[l];
                   2088:          printf("l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
                   2089:          fprintf(ficlog,"l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
                   2090:        }
                   2091:        printf("func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
                   2092:        fprintf(ficlog,"func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
                   2093:       }
                   2094: #endif
                   2095: 
1.224     brouard  2096: #ifdef LINMINORIGINAL
                   2097: #else
                   2098:       free_ivector(flatdir,1,n); 
                   2099: #endif
1.126     brouard  2100:       free_vector(xit,1,n); 
                   2101:       free_vector(xits,1,n); 
                   2102:       free_vector(ptt,1,n); 
                   2103:       free_vector(pt,1,n); 
                   2104:       return; 
1.192     brouard  2105:     } /* enough precision */ 
1.126     brouard  2106:     if (*iter == ITMAX) nrerror("powell exceeding maximum iterations."); 
1.181     brouard  2107:     for (j=1;j<=n;j++) { /* Computes the extrapolated point P_0 + 2 (P_n-P_0) */
1.126     brouard  2108:       ptt[j]=2.0*p[j]-pt[j]; 
                   2109:       xit[j]=p[j]-pt[j]; 
                   2110:       pt[j]=p[j]; 
                   2111:     } 
1.181     brouard  2112:     fptt=(*func)(ptt); /* f_3 */
1.224     brouard  2113: #ifdef NODIRECTIONCHANGEDUNTILNITER  /* No change in drections until some iterations are done */
                   2114:                if (*iter <=4) {
1.225     brouard  2115: #else
                   2116: #endif
1.224     brouard  2117: #ifdef POWELLNOF3INFF1TEST    /* skips test F3 <F1 */
1.192     brouard  2118: #else
1.161     brouard  2119:     if (fptt < fp) { /* If extrapolated point is better, decide if we keep that new direction or not */
1.192     brouard  2120: #endif
1.162     brouard  2121:       /* (x1 f1=fp), (x2 f2=*fret), (x3 f3=fptt), (xm fm) */
1.161     brouard  2122:       /* From x1 (P0) distance of x2 is at h and x3 is 2h */
1.162     brouard  2123:       /* Let f"(x2) be the 2nd derivative equal everywhere.  */
                   2124:       /* Then the parabolic through (x1,f1), (x2,f2) and (x3,f3) */
                   2125:       /* will reach at f3 = fm + h^2/2 f"m  ; f" = (f1 -2f2 +f3 ) / h**2 */
1.224     brouard  2126:       /* Conditional for using this new direction is that mu^2 = (f1-2f2+f3)^2 /2 < del or directest <0 */
                   2127:       /* also  lamda^2=(f1-f2)^2/mu² is a parasite solution of powell */
                   2128:       /* For powell, inclusion of this average direction is only if t(del)<0 or del inbetween mu^2 and lambda^2 */
1.161     brouard  2129:       /* t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)-del*SQR(fp-fptt); */
1.224     brouard  2130:       /*  Even if f3 <f1, directest can be negative and t >0 */
                   2131:       /* mu² and del² are equal when f3=f1 */
                   2132:                        /* f3 < f1 : mu² < del <= lambda^2 both test are equivalent */
                   2133:                        /* f3 < f1 : mu² < lambda^2 < del then directtest is negative and powell t is positive */
                   2134:                        /* f3 > f1 : lambda² < mu^2 < del then t is negative and directest >0  */
                   2135:                        /* f3 > f1 : lambda² < del < mu^2 then t is positive and directest >0  */
1.183     brouard  2136: #ifdef NRCORIGINAL
                   2137:       t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)- del*SQR(fp-fptt); /* Original Numerical Recipes in C*/
                   2138: #else
                   2139:       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  2140:       t= t- del*SQR(fp-fptt);
1.183     brouard  2141: #endif
1.202     brouard  2142:       directest = fp-2.0*(*fret)+fptt - 2.0 * del; /* If delta was big enough we change it for a new direction */
1.161     brouard  2143: #ifdef DEBUG
1.181     brouard  2144:       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);
                   2145:       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  2146:       printf("t3= %.12lf, t4= %.12lf, t3*= %.12lf, t4*= %.12lf\n",SQR(fp-(*fret)-del),SQR(fp-fptt),
                   2147:             (fp-(*fret)-del)*(fp-(*fret)-del),(fp-fptt)*(fp-fptt));
                   2148:       fprintf(ficlog,"t3= %.12lf, t4= %.12lf, t3*= %.12lf, t4*= %.12lf\n",SQR(fp-(*fret)-del),SQR(fp-fptt),
                   2149:             (fp-(*fret)-del)*(fp-(*fret)-del),(fp-fptt)*(fp-fptt));
                   2150:       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);
                   2151:       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);
                   2152: #endif
1.183     brouard  2153: #ifdef POWELLORIGINAL
                   2154:       if (t < 0.0) { /* Then we use it for new direction */
                   2155: #else
1.182     brouard  2156:       if (directest*t < 0.0) { /* Contradiction between both tests */
1.224     brouard  2157:                                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  2158:         printf("f1-2f2+f3= %.12lf, f1-f2-del= %.12lf, f1-f3= %.12lf\n",fp-2.0*(*fret)+fptt, fp -(*fret) -del, fp-fptt);
1.224     brouard  2159:         fprintf(ficlog,"directest= %.12lf (if directest<0 or t<0 we include P0 Pn as new direction), t= %.12lf, f1= %.12lf,f2= %.12lf,f3= %.12lf, del= %.12lf\n",directest, t, fp,(*fret),fptt, del);
1.192     brouard  2160:         fprintf(ficlog,"f1-2f2+f3= %.12lf, f1-f2-del= %.12lf, f1-f3= %.12lf\n",fp-2.0*(*fret)+fptt, fp -(*fret) -del, fp-fptt);
                   2161:       } 
1.181     brouard  2162:       if (directest < 0.0) { /* Then we use it for new direction */
                   2163: #endif
1.191     brouard  2164: #ifdef DEBUGLINMIN
1.224     brouard  2165:                                printf("Before linmin in direction P%d-P0\n",n);
                   2166:                                for (j=1;j<=n;j++) {
                   2167:                                        printf(" Before xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   2168:                                        fprintf(ficlog," Before xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   2169:                                        if(j % ncovmodel == 0){
                   2170:                                                printf("\n");
                   2171:                                                fprintf(ficlog,"\n");
                   2172:                                        }
                   2173:                                }
                   2174: #endif
                   2175: #ifdef LINMINORIGINAL
                   2176:                                linmin(p,xit,n,fret,func); /* computes minimum on the extrapolated direction: changes p and rescales xit.*/
                   2177: #else
                   2178:                                linmin(p,xit,n,fret,func,&flat); /* computes minimum on the extrapolated direction: changes p and rescales xit.*/
                   2179:                                flatdir[i]=flat; /* Function is vanishing in that direction i */
1.191     brouard  2180: #endif
1.224     brouard  2181: 
1.191     brouard  2182: #ifdef DEBUGLINMIN
1.224     brouard  2183:                                for (j=1;j<=n;j++) { 
                   2184:                                        printf("After xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   2185:                                        fprintf(ficlog,"After xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   2186:                                        if(j % ncovmodel == 0){
                   2187:                                                printf("\n");
                   2188:                                                fprintf(ficlog,"\n");
                   2189:                                        }
                   2190:                                }
                   2191: #endif
                   2192:                                for (j=1;j<=n;j++) { 
                   2193:                                        xi[j][ibig]=xi[j][n]; /* Replace direction with biggest decrease by last direction n */
                   2194:                                        xi[j][n]=xit[j];      /* and this nth direction by the by the average p_0 p_n */
                   2195:                                }
                   2196: #ifdef LINMINORIGINAL
                   2197: #else
1.225     brouard  2198:                                for (j=1, flatd=0;j<=n;j++) {
                   2199:                                        if(flatdir[j]>0)
                   2200:                                                flatd++;
                   2201:                                }
                   2202:                                if(flatd >0){
                   2203:                                        printf("%d flat directions\n",flatd);
                   2204:                                        fprintf(ficlog,"%d flat directions\n",flatd);
                   2205:                                        for (j=1;j<=n;j++) { 
                   2206:                                                if(flatdir[j]>0){
                   2207:                                                        printf("%d ",j);
                   2208:                                                        fprintf(ficlog,"%d ",j);
                   2209:                                                }
                   2210:                                        }
                   2211:                                        printf("\n");
                   2212:                                        fprintf(ficlog,"\n");
                   2213:                                }
1.191     brouard  2214: #endif
1.224     brouard  2215:                                printf("Gaining to use new average direction of P0 P%d instead of biggest increase direction %d :\n",n,ibig);
                   2216:                                fprintf(ficlog,"Gaining to use new average direction of P0 P%d instead of biggest increase direction %d :\n",n,ibig);
                   2217:                                
1.126     brouard  2218: #ifdef DEBUG
1.224     brouard  2219:                                printf("Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
                   2220:                                fprintf(ficlog,"Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
                   2221:                                for(j=1;j<=n;j++){
                   2222:                                        printf(" %lf",xit[j]);
                   2223:                                        fprintf(ficlog," %lf",xit[j]);
                   2224:                                }
                   2225:                                printf("\n");
                   2226:                                fprintf(ficlog,"\n");
1.126     brouard  2227: #endif
1.192     brouard  2228:       } /* end of t or directest negative */
1.224     brouard  2229: #ifdef POWELLNOF3INFF1TEST
1.192     brouard  2230: #else
1.162     brouard  2231:     } /* end if (fptt < fp)  */
1.192     brouard  2232: #endif
1.225     brouard  2233: #ifdef NODIRECTIONCHANGEDUNTILNITER  /* No change in drections until some iterations are done */
1.224     brouard  2234:                } /*NODIRECTIONCHANGEDUNTILNITER  No change in drections until some iterations are done */
1.225     brouard  2235: #else
1.224     brouard  2236: #endif
1.192     brouard  2237:   } /* loop iteration */ 
1.126     brouard  2238: } 
                   2239: 
                   2240: /**** Prevalence limit (stable or period prevalence)  ****************/
                   2241: 
1.203     brouard  2242: double **prevalim(double **prlim, int nlstate, double x[], double age, double **oldm, double **savm, double ftolpl, int *ncvyear, int ij)
1.126     brouard  2243: {
1.218     brouard  2244:   /* Computes the prevalence limit in each live state at age x and for covariate ij by left multiplying the unit
1.203     brouard  2245:      matrix by transitions matrix until convergence is reached with precision ftolpl */
1.206     brouard  2246:   /* Wx= Wx-1 Px-1= Wx-2 Px-2 Px-1  = Wx-n Px-n ... Px-2 Px-1 I */
                   2247:   /* Wx is row vector: population in state 1, population in state 2, population dead */
                   2248:   /* or prevalence in state 1, prevalence in state 2, 0 */
                   2249:   /* newm is the matrix after multiplications, its rows are identical at a factor */
                   2250:   /* Initial matrix pimij */
                   2251:   /* {0.85204250825084937, 0.13044499163996345, 0.017512500109187184, */
                   2252:   /* 0.090851990222114765, 0.88271245433047185, 0.026435555447413338, */
                   2253:   /*  0,                   0                  , 1} */
                   2254:   /*
                   2255:    * and after some iteration: */
                   2256:   /* {0.45504275246439968, 0.42731458730878791, 0.11764266022681241, */
                   2257:   /*  0.45201005341706885, 0.42865420071559901, 0.11933574586733192, */
                   2258:   /*  0,                   0                  , 1} */
                   2259:   /* And prevalence by suppressing the deaths are close to identical rows in prlim: */
                   2260:   /* {0.51571254859325999, 0.4842874514067399, */
                   2261:   /*  0.51326036147820708, 0.48673963852179264} */
                   2262:   /* If we start from prlim again, prlim tends to a constant matrix */
                   2263: 
1.126     brouard  2264:   int i, ii,j,k;
1.209     brouard  2265:   double *min, *max, *meandiff, maxmax,sumnew=0.;
1.145     brouard  2266:   /* double **matprod2(); */ /* test */
1.218     brouard  2267:   double **out, cov[NCOVMAX+1], **pmij(); /* **pmmij is a global variable feeded with oldms etc */
1.126     brouard  2268:   double **newm;
1.209     brouard  2269:   double agefin, delaymax=200. ; /* 100 Max number of years to converge */
1.203     brouard  2270:   int ncvloop=0;
1.169     brouard  2271:   
1.209     brouard  2272:   min=vector(1,nlstate);
                   2273:   max=vector(1,nlstate);
                   2274:   meandiff=vector(1,nlstate);
                   2275: 
1.218     brouard  2276:        /* Starting with matrix unity */
1.126     brouard  2277:   for (ii=1;ii<=nlstate+ndeath;ii++)
                   2278:     for (j=1;j<=nlstate+ndeath;j++){
                   2279:       oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2280:     }
1.169     brouard  2281:   
                   2282:   cov[1]=1.;
                   2283:   
                   2284:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
1.202     brouard  2285:   /* Start at agefin= age, computes the matrix of passage and loops decreasing agefin until convergence is reached */
1.126     brouard  2286:   for(agefin=age-stepm/YEARM; agefin>=age-delaymax; agefin=agefin-stepm/YEARM){
1.202     brouard  2287:     ncvloop++;
1.126     brouard  2288:     newm=savm;
                   2289:     /* Covariates have to be included here again */
1.138     brouard  2290:     cov[2]=agefin;
1.187     brouard  2291:     if(nagesqr==1)
                   2292:       cov[3]= agefin*agefin;;
1.138     brouard  2293:     for (k=1; k<=cptcovn;k++) {
1.200     brouard  2294:       /* cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
1.218     brouard  2295:                        /* Here comes the value of the covariate 'ij' */
1.200     brouard  2296:       cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)];
1.198     brouard  2297:       /* 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  2298:     }
1.186     brouard  2299:     /*wrong? for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
1.200     brouard  2300:     /* for (k=1; k<=cptcovage;k++) cov[2+nagesqr+Tage[k]]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]*cov[2]; */
                   2301:     for (k=1; k<=cptcovage;k++) cov[2+nagesqr+Tage[k]]=nbcode[Tvar[k]][codtabm(ij,k)]*cov[2];
1.186     brouard  2302:     for (k=1; k<=cptcovprod;k++) /* Useless */
1.200     brouard  2303:       /* cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,Tvard[k][1])] * nbcode[Tvard[k][2]][codtabm(ij,Tvard[k][2])]; */
                   2304:       cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * nbcode[Tvard[k][2]][codtabm(ij,k)];
1.138     brouard  2305:     
                   2306:     /*printf("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/
                   2307:     /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/
                   2308:     /*printf("ij=%d cov[3]=%lf \n",ij, cov[3]);*/
1.145     brouard  2309:     /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
                   2310:     /* out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /\* Bug Valgrind *\/ */
1.218     brouard  2311:                /* age and covariate values of ij are in 'cov' */
1.142     brouard  2312:     out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /* Bug Valgrind */
1.138     brouard  2313:     
1.126     brouard  2314:     savm=oldm;
                   2315:     oldm=newm;
1.209     brouard  2316: 
                   2317:     for(j=1; j<=nlstate; j++){
                   2318:       max[j]=0.;
                   2319:       min[j]=1.;
                   2320:     }
                   2321:     for(i=1;i<=nlstate;i++){
                   2322:       sumnew=0;
                   2323:       for(k=1; k<=ndeath; k++) sumnew+=newm[i][nlstate+k];
                   2324:       for(j=1; j<=nlstate; j++){ 
                   2325:        prlim[i][j]= newm[i][j]/(1-sumnew);
                   2326:        max[j]=FMAX(max[j],prlim[i][j]);
                   2327:        min[j]=FMIN(min[j],prlim[i][j]);
                   2328:       }
                   2329:     }
                   2330: 
1.126     brouard  2331:     maxmax=0.;
1.209     brouard  2332:     for(j=1; j<=nlstate; j++){
                   2333:       meandiff[j]=(max[j]-min[j])/(max[j]+min[j])*2.; /* mean difference for each column */
                   2334:       maxmax=FMAX(maxmax,meandiff[j]);
                   2335:       /* 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  2336:     } /* j loop */
1.203     brouard  2337:     *ncvyear= (int)age- (int)agefin;
1.208     brouard  2338:     /* 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  2339:     if(maxmax < ftolpl){
1.209     brouard  2340:       /* printf("maxmax=%lf ncvloop=%ld, age=%d, agefin=%d ncvyear=%d \n", maxmax, ncvloop, (int)age, (int)agefin, *ncvyear); */
                   2341:       free_vector(min,1,nlstate);
                   2342:       free_vector(max,1,nlstate);
                   2343:       free_vector(meandiff,1,nlstate);
1.126     brouard  2344:       return prlim;
                   2345:     }
1.169     brouard  2346:   } /* age loop */
1.208     brouard  2347:     /* After some age loop it doesn't converge */
1.209     brouard  2348:   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  2349: 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  2350:   /* 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); */
                   2351:   free_vector(min,1,nlstate);
                   2352:   free_vector(max,1,nlstate);
                   2353:   free_vector(meandiff,1,nlstate);
1.208     brouard  2354:   
1.169     brouard  2355:   return prlim; /* should not reach here */
1.126     brouard  2356: }
                   2357: 
1.217     brouard  2358: 
                   2359:  /**** Back Prevalence limit (stable or period prevalence)  ****************/
                   2360: 
1.218     brouard  2361:  /* double **bprevalim(double **bprlim, double ***prevacurrent, int nlstate, double x[], double age, double ageminpar, double agemaxpar, double **oldm, double **savm, double **dnewm, double **doldm, double **dsavm, double ftolpl, int *ncvyear, int ij) */
                   2362:  /* double **bprevalim(double **bprlim, double ***prevacurrent, int nlstate, double x[], double age, double **oldm, double **savm, double **dnewm, double **doldm, double **dsavm, double ftolpl, int *ncvyear, int ij) */
                   2363:  double **bprevalim(double **bprlim, double ***prevacurrent, int nlstate, double x[], double age, double ftolpl, int *ncvyear, int ij)
1.217     brouard  2364: {
1.218     brouard  2365:   /* Computes the prevalence limit in each live state at age x and covariate ij by left multiplying the unit
1.217     brouard  2366:      matrix by transitions matrix until convergence is reached with precision ftolpl */
                   2367:   /* Wx= Wx-1 Px-1= Wx-2 Px-2 Px-1  = Wx-n Px-n ... Px-2 Px-1 I */
                   2368:   /* Wx is row vector: population in state 1, population in state 2, population dead */
                   2369:   /* or prevalence in state 1, prevalence in state 2, 0 */
                   2370:   /* newm is the matrix after multiplications, its rows are identical at a factor */
                   2371:   /* Initial matrix pimij */
                   2372:   /* {0.85204250825084937, 0.13044499163996345, 0.017512500109187184, */
                   2373:   /* 0.090851990222114765, 0.88271245433047185, 0.026435555447413338, */
                   2374:   /*  0,                   0                  , 1} */
                   2375:   /*
                   2376:    * and after some iteration: */
                   2377:   /* {0.45504275246439968, 0.42731458730878791, 0.11764266022681241, */
                   2378:   /*  0.45201005341706885, 0.42865420071559901, 0.11933574586733192, */
                   2379:   /*  0,                   0                  , 1} */
                   2380:   /* And prevalence by suppressing the deaths are close to identical rows in prlim: */
                   2381:   /* {0.51571254859325999, 0.4842874514067399, */
                   2382:   /*  0.51326036147820708, 0.48673963852179264} */
                   2383:   /* If we start from prlim again, prlim tends to a constant matrix */
                   2384: 
                   2385:   int i, ii,j,k;
                   2386:   double *min, *max, *meandiff, maxmax,sumnew=0.;
                   2387:   /* double **matprod2(); */ /* test */
                   2388:   double **out, cov[NCOVMAX+1], **bmij();
                   2389:   double **newm;
1.218     brouard  2390:   double        **dnewm, **doldm, **dsavm;  /* for use */
                   2391:   double        **oldm, **savm;  /* for use */
                   2392: 
1.217     brouard  2393:   double agefin, delaymax=200. ; /* 100 Max number of years to converge */
                   2394:   int ncvloop=0;
                   2395:   
                   2396:   min=vector(1,nlstate);
                   2397:   max=vector(1,nlstate);
                   2398:   meandiff=vector(1,nlstate);
                   2399: 
1.218     brouard  2400:        dnewm=ddnewms; doldm=ddoldms; dsavm=ddsavms;
                   2401:        oldm=oldms; savm=savms;
                   2402: 
                   2403:        /* Starting with matrix unity */
                   2404:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   2405:                for (j=1;j<=nlstate+ndeath;j++){
1.217     brouard  2406:       oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2407:     }
                   2408:   
                   2409:   cov[1]=1.;
                   2410:   
                   2411:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
                   2412:   /* Start at agefin= age, computes the matrix of passage and loops decreasing agefin until convergence is reached */
1.218     brouard  2413:   /* for(agefin=age+stepm/YEARM; agefin<=age+delaymax; agefin=agefin+stepm/YEARM){ /\* A changer en age *\/ */
                   2414:   for(agefin=age; agefin<AGESUP; agefin=agefin+stepm/YEARM){ /* A changer en age */
1.217     brouard  2415:     ncvloop++;
1.218     brouard  2416:     newm=savm; /* oldm should be kept from previous iteration or unity at start */
                   2417:                /* newm points to the allocated table savm passed by the function it can be written, savm could be reallocated */
1.217     brouard  2418:     /* Covariates have to be included here again */
                   2419:     cov[2]=agefin;
                   2420:     if(nagesqr==1)
                   2421:       cov[3]= agefin*agefin;;
                   2422:     for (k=1; k<=cptcovn;k++) {
                   2423:       /* cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
                   2424:       cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)];
                   2425:       /* 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])]); */
                   2426:     }
                   2427:     /*wrong? for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
                   2428:     /* for (k=1; k<=cptcovage;k++) cov[2+nagesqr+Tage[k]]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]*cov[2]; */
                   2429:     for (k=1; k<=cptcovage;k++) cov[2+nagesqr+Tage[k]]=nbcode[Tvar[k]][codtabm(ij,k)]*cov[2];
                   2430:     for (k=1; k<=cptcovprod;k++) /* Useless */
                   2431:       /* cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,Tvard[k][1])] * nbcode[Tvard[k][2]][codtabm(ij,Tvard[k][2])]; */
                   2432:       cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * nbcode[Tvard[k][2]][codtabm(ij,k)];
                   2433:     
                   2434:     /*printf("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/
                   2435:     /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/
                   2436:     /*printf("ij=%d cov[3]=%lf \n",ij, cov[3]);*/
                   2437:     /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
                   2438:     /* out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /\* Bug Valgrind *\/ */
1.218     brouard  2439:                /* ij should be linked to the correct index of cov */
                   2440:                /* age and covariate values ij are in 'cov', but we need to pass
                   2441:                 * ij for the observed prevalence at age and status and covariate
                   2442:                 * number:  prevacurrent[(int)agefin][ii][ij]
                   2443:                 */
                   2444:     /* out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent, ageminpar, agemaxpar, dnewm, doldm, dsavm,ij)); /\* Bug Valgrind *\/ */
                   2445:     /* out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent, dnewm, doldm, dsavm,ij)); /\* Bug Valgrind *\/ */
                   2446:     out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent,ij)); /* Bug Valgrind */
1.217     brouard  2447:     savm=oldm;
                   2448:     oldm=newm;
                   2449:     for(j=1; j<=nlstate; j++){
                   2450:       max[j]=0.;
                   2451:       min[j]=1.;
                   2452:     }
                   2453:     for(j=1; j<=nlstate; j++){ 
                   2454:       for(i=1;i<=nlstate;i++){
1.218     brouard  2455:                                /* bprlim[i][j]= newm[i][j]/(1-sumnew); */
                   2456:                                bprlim[i][j]= newm[i][j];
                   2457:                                max[i]=FMAX(max[i],bprlim[i][j]); /* Max in line */
                   2458:                                min[i]=FMIN(min[i],bprlim[i][j]);
1.217     brouard  2459:       }
                   2460:     }
1.218     brouard  2461:                
1.217     brouard  2462:     maxmax=0.;
                   2463:     for(i=1; i<=nlstate; i++){
                   2464:       meandiff[i]=(max[i]-min[i])/(max[i]+min[i])*2.; /* mean difference for each column */
                   2465:       maxmax=FMAX(maxmax,meandiff[i]);
                   2466:       /* printf("Back age= %d meandiff[%d]=%f, agefin=%d max[%d]=%f min[%d]=%f maxmax=%f\n", (int)age, i, meandiff[i],(int)agefin, i, max[i], i, min[i],maxmax); */
                   2467:     } /* j loop */
                   2468:     *ncvyear= -( (int)age- (int)agefin);
1.218     brouard  2469:     /* printf("Back maxmax=%lf ncvloop=%d, age=%d, agefin=%d ncvyear=%d \n", maxmax, ncvloop, (int)age, (int)agefin, *ncvyear);*/
1.217     brouard  2470:     if(maxmax < ftolpl){
1.220     brouard  2471:       /* printf("OK Back maxmax=%lf ncvloop=%d, age=%d, agefin=%d ncvyear=%d \n", maxmax, ncvloop, (int)age, (int)agefin, *ncvyear); */
1.217     brouard  2472:       free_vector(min,1,nlstate);
                   2473:       free_vector(max,1,nlstate);
                   2474:       free_vector(meandiff,1,nlstate);
                   2475:       return bprlim;
                   2476:     }
                   2477:   } /* age loop */
                   2478:     /* After some age loop it doesn't converge */
                   2479:   printf("Warning: the back stable prevalence at age %d did not converge with the required precision (%g > ftolpl=%g) within %.0f years. Try to lower 'ftolpl'. \n\
                   2480: Oldest age to start was %d-%d=%d, ncvloop=%d, ncvyear=%d\n", (int)age, maxmax, ftolpl, delaymax, (int)age, (int)delaymax, (int)agefin, ncvloop, *ncvyear);
                   2481:   /* 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); */
                   2482:   free_vector(min,1,nlstate);
                   2483:   free_vector(max,1,nlstate);
                   2484:   free_vector(meandiff,1,nlstate);
                   2485:   
                   2486:   return bprlim; /* should not reach here */
                   2487: }
                   2488: 
1.126     brouard  2489: /*************** transition probabilities ***************/ 
                   2490: 
                   2491: double **pmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )
                   2492: {
1.138     brouard  2493:   /* According to parameters values stored in x and the covariate's values stored in cov,
                   2494:      computes the probability to be observed in state j being in state i by appying the
                   2495:      model to the ncovmodel covariates (including constant and age).
                   2496:      lnpijopii=ln(pij/pii)= aij+bij*age+cij*v1+dij*v2+... = sum_nc=1^ncovmodel xij(nc)*cov[nc]
                   2497:      and, according on how parameters are entered, the position of the coefficient xij(nc) of the
                   2498:      ncth covariate in the global vector x is given by the formula:
                   2499:      j<i nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel
                   2500:      j>=i nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel
                   2501:      Computes ln(pij/pii) (lnpijopii), deduces pij/pii by exponentiation,
                   2502:      sums on j different of i to get 1-pii/pii, deduces pii, and then all pij.
                   2503:      Outputs ps[i][j] the probability to be observed in j being in j according to
                   2504:      the values of the covariates cov[nc] and corresponding parameter values x[nc+shiftij]
                   2505:   */
                   2506:   double s1, lnpijopii;
1.126     brouard  2507:   /*double t34;*/
1.164     brouard  2508:   int i,j, nc, ii, jj;
1.126     brouard  2509: 
1.223     brouard  2510:   for(i=1; i<= nlstate; i++){
                   2511:     for(j=1; j<i;j++){
                   2512:       for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
                   2513:        /*lnpijopii += param[i][j][nc]*cov[nc];*/
                   2514:        lnpijopii += x[nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel]*cov[nc];
                   2515:        /*       printf("Int j<i s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
                   2516:       }
                   2517:       ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
                   2518:       /*       printf("s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
                   2519:     }
                   2520:     for(j=i+1; j<=nlstate+ndeath;j++){
                   2521:       for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
                   2522:        /*lnpijopii += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];*/
                   2523:        lnpijopii += x[nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel]*cov[nc];
                   2524:        /*        printf("Int j>i s1=%.17e, lnpijopii=%.17e %lx %lx\n",s1,lnpijopii,s1,lnpijopii); */
                   2525:       }
                   2526:       ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
                   2527:     }
                   2528:   }
1.218     brouard  2529:   
1.223     brouard  2530:   for(i=1; i<= nlstate; i++){
                   2531:     s1=0;
                   2532:     for(j=1; j<i; j++){
                   2533:       s1+=exp(ps[i][j]); /* In fact sums pij/pii */
                   2534:       /*printf("debug1 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
                   2535:     }
                   2536:     for(j=i+1; j<=nlstate+ndeath; j++){
                   2537:       s1+=exp(ps[i][j]); /* In fact sums pij/pii */
                   2538:       /*printf("debug2 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
                   2539:     }
                   2540:     /* s1= sum_{j<>i} pij/pii=(1-pii)/pii and thus pii is known from s1 */
                   2541:     ps[i][i]=1./(s1+1.);
                   2542:     /* Computing other pijs */
                   2543:     for(j=1; j<i; j++)
                   2544:       ps[i][j]= exp(ps[i][j])*ps[i][i];
                   2545:     for(j=i+1; j<=nlstate+ndeath; j++)
                   2546:       ps[i][j]= exp(ps[i][j])*ps[i][i];
                   2547:     /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */
                   2548:   } /* end i */
1.218     brouard  2549:   
1.223     brouard  2550:   for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){
                   2551:     for(jj=1; jj<= nlstate+ndeath; jj++){
                   2552:       ps[ii][jj]=0;
                   2553:       ps[ii][ii]=1;
                   2554:     }
                   2555:   }
1.218     brouard  2556:   
                   2557:   
1.223     brouard  2558:   /* for(ii=1; ii<= nlstate+ndeath; ii++){ */
                   2559:   /*   for(jj=1; jj<= nlstate+ndeath; jj++){ */
                   2560:   /*   printf(" pmij  ps[%d][%d]=%lf ",ii,jj,ps[ii][jj]); */
                   2561:   /*   } */
                   2562:   /*   printf("\n "); */
                   2563:   /* } */
                   2564:   /* printf("\n ");printf("%lf ",cov[2]);*/
                   2565:   /*
                   2566:     for(i=1; i<= npar; i++) printf("%f ",x[i]);
1.218     brouard  2567:                goto end;*/
1.223     brouard  2568:   return ps;
1.126     brouard  2569: }
                   2570: 
1.218     brouard  2571: /*************** backward transition probabilities ***************/ 
                   2572: 
                   2573:  /* double **bmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate,  double ***prevacurrent, double ageminpar, double agemaxpar, double ***dnewm, double **doldm, double **dsavm, int ij ) */
                   2574: /* double **bmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate,  double ***prevacurrent, double ***dnewm, double **doldm, double **dsavm, int ij ) */
                   2575:  double **bmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate,  double ***prevacurrent, int ij )
                   2576: {
1.222     brouard  2577:   /* Computes the backward probability at age agefin and covariate ij
                   2578:    * and returns in **ps as well as **bmij.
                   2579:    */
1.218     brouard  2580:   int i, ii, j,k;
1.222     brouard  2581:   
                   2582:   double **out, **pmij();
                   2583:   double sumnew=0.;
1.218     brouard  2584:   double agefin;
1.222     brouard  2585:   
                   2586:   double **dnewm, **dsavm, **doldm;
                   2587:   double **bbmij;
                   2588:   
1.218     brouard  2589:   doldm=ddoldms; /* global pointers */
1.222     brouard  2590:   dnewm=ddnewms;
                   2591:   dsavm=ddsavms;
                   2592:   
                   2593:   agefin=cov[2];
                   2594:   /* bmij *//* age is cov[2], ij is included in cov, but we need for
                   2595:      the observed prevalence (with this covariate ij) */
                   2596:   dsavm=pmij(pmmij,cov,ncovmodel,x,nlstate);
                   2597:   /* We do have the matrix Px in savm  and we need pij */
                   2598:   for (j=1;j<=nlstate+ndeath;j++){
                   2599:     sumnew=0.; /* w1 p11 + w2 p21 only on live states */
                   2600:     for (ii=1;ii<=nlstate;ii++){
                   2601:       sumnew+=dsavm[ii][j]*prevacurrent[(int)agefin][ii][ij];
                   2602:     } /* sumnew is (N11+N21)/N..= N.1/N.. = sum on i of w_i pij */
                   2603:     for (ii=1;ii<=nlstate+ndeath;ii++){
                   2604:       if(sumnew >= 1.e-10){
                   2605:        /* if(agefin >= agemaxpar && agefin <= agemaxpar+stepm/YEARM){ */
                   2606:        /*      doldm[ii][j]=(ii==j ? 1./sumnew : 0.0); */
                   2607:        /* }else if(agefin >= agemaxpar+stepm/YEARM){ */
                   2608:        /*      doldm[ii][j]=(ii==j ? 1./sumnew : 0.0); */
                   2609:        /* }else */
                   2610:        doldm[ii][j]=(ii==j ? 1./sumnew : 0.0);
                   2611:       }else{
                   2612:        printf("ii=%d, i=%d, doldm=%lf dsavm=%lf, probs=%lf, sumnew=%lf,agefin=%d\n",ii,j,doldm[ii][j],dsavm[ii][j],prevacurrent[(int)agefin][ii][ij],sumnew, (int)agefin);
                   2613:       }
                   2614:     } /*End ii */
                   2615:   } /* End j, At the end doldm is diag[1/(w_1p1i+w_2 p2i)] */
                   2616:   /* left Product of this diag matrix by dsavm=Px (newm=dsavm*doldm) */
                   2617:   bbmij=matprod2(dnewm, dsavm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, doldm); /* Bug Valgrind */
                   2618:   /* dsavm=doldm; /\* dsavm is now diag [1/(w_1p1i+w_2 p2i)] but can be overwritten*\/ */
                   2619:   /* doldm=dnewm; /\* doldm is now Px * diag [1/(w_1p1i+w_2 p2i)] *\/ */
                   2620:   /* dnewm=dsavm; /\* doldm is now Px * diag [1/(w_1p1i+w_2 p2i)] *\/ */
                   2621:   /* left Product of this matrix by diag matrix of prevalences (savm) */
                   2622:   for (j=1;j<=nlstate+ndeath;j++){
                   2623:     for (ii=1;ii<=nlstate+ndeath;ii++){
                   2624:       dsavm[ii][j]=(ii==j ? prevacurrent[(int)agefin][ii][ij] : 0.0);
                   2625:     }
                   2626:   } /* End j, At the end oldm is diag[1/(w_1p1i+w_2 p2i)] */
                   2627:   ps=matprod2(doldm, dsavm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, dnewm); /* Bug Valgrind */
                   2628:   /* newm or out is now diag[w_i] * Px * diag [1/(w_1p1i+w_2 p2i)] */
                   2629:   /* end bmij */
                   2630:   return ps; 
1.218     brouard  2631: }
1.217     brouard  2632: /*************** transition probabilities ***************/ 
                   2633: 
1.218     brouard  2634: double **bpmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )
1.217     brouard  2635: {
                   2636:   /* According to parameters values stored in x and the covariate's values stored in cov,
                   2637:      computes the probability to be observed in state j being in state i by appying the
                   2638:      model to the ncovmodel covariates (including constant and age).
                   2639:      lnpijopii=ln(pij/pii)= aij+bij*age+cij*v1+dij*v2+... = sum_nc=1^ncovmodel xij(nc)*cov[nc]
                   2640:      and, according on how parameters are entered, the position of the coefficient xij(nc) of the
                   2641:      ncth covariate in the global vector x is given by the formula:
                   2642:      j<i nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel
                   2643:      j>=i nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel
                   2644:      Computes ln(pij/pii) (lnpijopii), deduces pij/pii by exponentiation,
                   2645:      sums on j different of i to get 1-pii/pii, deduces pii, and then all pij.
                   2646:      Outputs ps[i][j] the probability to be observed in j being in j according to
                   2647:      the values of the covariates cov[nc] and corresponding parameter values x[nc+shiftij]
                   2648:   */
                   2649:   double s1, lnpijopii;
                   2650:   /*double t34;*/
                   2651:   int i,j, nc, ii, jj;
                   2652: 
1.218     brouard  2653:        for(i=1; i<= nlstate; i++){
                   2654:                for(j=1; j<i;j++){
                   2655:                        for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
                   2656:                                /*lnpijopii += param[i][j][nc]*cov[nc];*/
                   2657:                                lnpijopii += x[nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel]*cov[nc];
                   2658:                                /*       printf("Int j<i s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
                   2659:                        }
                   2660:                        ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
                   2661:                        /*      printf("s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
                   2662:                }
                   2663:                for(j=i+1; j<=nlstate+ndeath;j++){
                   2664:                        for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
                   2665:                                /*lnpijopii += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];*/
                   2666:                                lnpijopii += x[nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel]*cov[nc];
                   2667:                                /*        printf("Int j>i s1=%.17e, lnpijopii=%.17e %lx %lx\n",s1,lnpijopii,s1,lnpijopii); */
                   2668:                        }
                   2669:                        ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
                   2670:                }
                   2671:        }
                   2672:        
                   2673:        for(i=1; i<= nlstate; i++){
                   2674:                s1=0;
                   2675:                for(j=1; j<i; j++){
                   2676:                        s1+=exp(ps[i][j]); /* In fact sums pij/pii */
                   2677:                        /*printf("debug1 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
                   2678:                }
                   2679:                for(j=i+1; j<=nlstate+ndeath; j++){
                   2680:                        s1+=exp(ps[i][j]); /* In fact sums pij/pii */
                   2681:                        /*printf("debug2 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
                   2682:                }
                   2683:                /* s1= sum_{j<>i} pij/pii=(1-pii)/pii and thus pii is known from s1 */
                   2684:                ps[i][i]=1./(s1+1.);
                   2685:                /* Computing other pijs */
                   2686:                for(j=1; j<i; j++)
                   2687:                        ps[i][j]= exp(ps[i][j])*ps[i][i];
                   2688:                for(j=i+1; j<=nlstate+ndeath; j++)
                   2689:                        ps[i][j]= exp(ps[i][j])*ps[i][i];
                   2690:                /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */
                   2691:        } /* end i */
                   2692:        
                   2693:        for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){
                   2694:                for(jj=1; jj<= nlstate+ndeath; jj++){
                   2695:                        ps[ii][jj]=0;
                   2696:                        ps[ii][ii]=1;
                   2697:                }
                   2698:        }
                   2699:        /* Added for backcast */ /* Transposed matrix too */
                   2700:        for(jj=1; jj<= nlstate+ndeath; jj++){
                   2701:                s1=0.;
                   2702:                for(ii=1; ii<= nlstate+ndeath; ii++){
                   2703:                        s1+=ps[ii][jj];
                   2704:                }
                   2705:                for(ii=1; ii<= nlstate; ii++){
                   2706:                        ps[ii][jj]=ps[ii][jj]/s1;
                   2707:                }
                   2708:        }
                   2709:        /* Transposition */
                   2710:        for(jj=1; jj<= nlstate+ndeath; jj++){
                   2711:                for(ii=jj; ii<= nlstate+ndeath; ii++){
                   2712:                        s1=ps[ii][jj];
                   2713:                        ps[ii][jj]=ps[jj][ii];
                   2714:                        ps[jj][ii]=s1;
                   2715:                }
                   2716:        }
                   2717:        /* for(ii=1; ii<= nlstate+ndeath; ii++){ */
                   2718:        /*   for(jj=1; jj<= nlstate+ndeath; jj++){ */
                   2719:        /*      printf(" pmij  ps[%d][%d]=%lf ",ii,jj,ps[ii][jj]); */
                   2720:        /*   } */
                   2721:        /*   printf("\n "); */
                   2722:        /* } */
                   2723:        /* printf("\n ");printf("%lf ",cov[2]);*/
                   2724:        /*
                   2725:                for(i=1; i<= npar; i++) printf("%f ",x[i]);
                   2726:                goto end;*/
                   2727:        return ps;
1.217     brouard  2728: }
                   2729: 
                   2730: 
1.126     brouard  2731: /**************** Product of 2 matrices ******************/
                   2732: 
1.145     brouard  2733: double **matprod2(double **out, double **in,int nrl, int nrh, int ncl, int nch, int ncolol, int ncoloh, double **b)
1.126     brouard  2734: {
                   2735:   /* Computes the matrix product of in(1,nrh-nrl+1)(1,nch-ncl+1) times
                   2736:      b(1,nch-ncl+1)(1,ncoloh-ncolol+1) into out(...) */
                   2737:   /* in, b, out are matrice of pointers which should have been initialized 
                   2738:      before: only the contents of out is modified. The function returns
                   2739:      a pointer to pointers identical to out */
1.145     brouard  2740:   int i, j, k;
1.126     brouard  2741:   for(i=nrl; i<= nrh; i++)
1.145     brouard  2742:     for(k=ncolol; k<=ncoloh; k++){
                   2743:       out[i][k]=0.;
                   2744:       for(j=ncl; j<=nch; j++)
                   2745:        out[i][k] +=in[i][j]*b[j][k];
                   2746:     }
1.126     brouard  2747:   return out;
                   2748: }
                   2749: 
                   2750: 
                   2751: /************* Higher Matrix Product ***************/
                   2752: 
                   2753: double ***hpxij(double ***po, int nhstepm, double age, int hstepm, double *x, int nlstate, int stepm, double **oldm, double **savm, int ij )
                   2754: {
1.218     brouard  2755:   /* Computes the transition matrix starting at age 'age' and combination of covariate values corresponding to ij over 
1.126     brouard  2756:      'nhstepm*hstepm*stepm' months (i.e. until
                   2757:      age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying 
                   2758:      nhstepm*hstepm matrices. 
                   2759:      Output is stored in matrix po[i][j][h] for h every 'hstepm' step 
                   2760:      (typically every 2 years instead of every month which is too big 
                   2761:      for the memory).
                   2762:      Model is determined by parameters x and covariates have to be 
                   2763:      included manually here. 
                   2764: 
                   2765:      */
                   2766: 
                   2767:   int i, j, d, h, k;
1.131     brouard  2768:   double **out, cov[NCOVMAX+1];
1.126     brouard  2769:   double **newm;
1.187     brouard  2770:   double agexact;
1.214     brouard  2771:   double agebegin, ageend;
1.126     brouard  2772: 
                   2773:   /* Hstepm could be zero and should return the unit matrix */
                   2774:   for (i=1;i<=nlstate+ndeath;i++)
                   2775:     for (j=1;j<=nlstate+ndeath;j++){
                   2776:       oldm[i][j]=(i==j ? 1.0 : 0.0);
                   2777:       po[i][j][0]=(i==j ? 1.0 : 0.0);
                   2778:     }
                   2779:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
                   2780:   for(h=1; h <=nhstepm; h++){
                   2781:     for(d=1; d <=hstepm; d++){
                   2782:       newm=savm;
                   2783:       /* Covariates have to be included here again */
                   2784:       cov[1]=1.;
1.214     brouard  2785:       agexact=age+((h-1)*hstepm + (d-1))*stepm/YEARM; /* age just before transition */
1.187     brouard  2786:       cov[2]=agexact;
                   2787:       if(nagesqr==1)
1.227     brouard  2788:        cov[3]= agexact*agexact;
1.131     brouard  2789:       for (k=1; k<=cptcovn;k++) 
1.227     brouard  2790:        cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)];
                   2791:       /* cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
1.186     brouard  2792:       for (k=1; k<=cptcovage;k++) /* Should start at cptcovn+1 */
1.227     brouard  2793:        /* cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
                   2794:        cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
                   2795:       /* cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,Tvar[Tage[k]])]*cov[2]; */
1.145     brouard  2796:       for (k=1; k<=cptcovprod;k++) /* Useless because included in cptcovn */
1.227     brouard  2797:        cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)]*nbcode[Tvard[k][2]][codtabm(ij,k)];
                   2798:       /* cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,Tvard[k][1])]*nbcode[Tvard[k][2]][codtabm(ij,Tvard[k][2])]; */
                   2799:       
                   2800:       
1.126     brouard  2801:       /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/
                   2802:       /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/
1.218     brouard  2803:                        /* right multiplication of oldm by the current matrix */
1.126     brouard  2804:       out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, 
                   2805:                   pmij(pmmij,cov,ncovmodel,x,nlstate));
1.217     brouard  2806:       /* if((int)age == 70){ */
                   2807:       /*       printf(" Forward hpxij age=%d agexact=%f d=%d nhstepm=%d hstepm=%d\n", (int) age, agexact, d, nhstepm, hstepm); */
                   2808:       /*       for(i=1; i<=nlstate+ndeath; i++) { */
                   2809:       /*         printf("%d pmmij ",i); */
                   2810:       /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   2811:       /*           printf("%f ",pmmij[i][j]); */
                   2812:       /*         } */
                   2813:       /*         printf(" oldm "); */
                   2814:       /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   2815:       /*           printf("%f ",oldm[i][j]); */
                   2816:       /*         } */
                   2817:       /*         printf("\n"); */
                   2818:       /*       } */
                   2819:       /* } */
1.126     brouard  2820:       savm=oldm;
                   2821:       oldm=newm;
                   2822:     }
                   2823:     for(i=1; i<=nlstate+ndeath; i++)
                   2824:       for(j=1;j<=nlstate+ndeath;j++) {
1.218     brouard  2825:                                po[i][j][h]=newm[i][j];
                   2826:                                /*if(h==nhstepm) printf("po[%d][%d][%d]=%f ",i,j,h,po[i][j][h]);*/
1.126     brouard  2827:       }
1.128     brouard  2828:     /*printf("h=%d ",h);*/
1.126     brouard  2829:   } /* end h */
1.218     brouard  2830:        /*     printf("\n H=%d \n",h); */
1.126     brouard  2831:   return po;
                   2832: }
                   2833: 
1.217     brouard  2834: /************* Higher Back Matrix Product ***************/
1.218     brouard  2835: /* double ***hbxij(double ***po, int nhstepm, double age, int hstepm, double *x, double ***prevacurrent, int nlstate, int stepm, double **oldm, double **savm, double **dnewm, double **doldm, double **dsavm, int ij ) */
1.222     brouard  2836: double ***hbxij(double ***po, int nhstepm, double age, int hstepm, double *x, double ***prevacurrent, int nlstate, int stepm, int ij )
1.217     brouard  2837: {
1.218     brouard  2838:   /* Computes the transition matrix starting at age 'age' over
1.217     brouard  2839:      'nhstepm*hstepm*stepm' months (i.e. until
1.218     brouard  2840:      age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying
                   2841:      nhstepm*hstepm matrices.
                   2842:      Output is stored in matrix po[i][j][h] for h every 'hstepm' step
                   2843:      (typically every 2 years instead of every month which is too big
1.217     brouard  2844:      for the memory).
1.218     brouard  2845:      Model is determined by parameters x and covariates have to be
                   2846:      included manually here.
1.217     brouard  2847: 
1.222     brouard  2848:   */
1.217     brouard  2849: 
                   2850:   int i, j, d, h, k;
                   2851:   double **out, cov[NCOVMAX+1];
                   2852:   double **newm;
                   2853:   double agexact;
                   2854:   double agebegin, ageend;
1.222     brouard  2855:   double **oldm, **savm;
1.217     brouard  2856: 
1.222     brouard  2857:   oldm=oldms;savm=savms;
1.217     brouard  2858:   /* Hstepm could be zero and should return the unit matrix */
                   2859:   for (i=1;i<=nlstate+ndeath;i++)
                   2860:     for (j=1;j<=nlstate+ndeath;j++){
                   2861:       oldm[i][j]=(i==j ? 1.0 : 0.0);
                   2862:       po[i][j][0]=(i==j ? 1.0 : 0.0);
                   2863:     }
                   2864:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
                   2865:   for(h=1; h <=nhstepm; h++){
                   2866:     for(d=1; d <=hstepm; d++){
                   2867:       newm=savm;
                   2868:       /* Covariates have to be included here again */
                   2869:       cov[1]=1.;
                   2870:       agexact=age-((h-1)*hstepm + (d-1))*stepm/YEARM; /* age just before transition */
                   2871:       /* agexact=age+((h-1)*hstepm + (d-1))*stepm/YEARM; /\* age just before transition *\/ */
                   2872:       cov[2]=agexact;
                   2873:       if(nagesqr==1)
1.222     brouard  2874:        cov[3]= agexact*agexact;
1.218     brouard  2875:       for (k=1; k<=cptcovn;k++)
1.222     brouard  2876:        cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)];
                   2877:       /* cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
1.217     brouard  2878:       for (k=1; k<=cptcovage;k++) /* Should start at cptcovn+1 */
1.222     brouard  2879:        /* cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
                   2880:        cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
                   2881:       /* cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,Tvar[Tage[k]])]*cov[2]; */
1.217     brouard  2882:       for (k=1; k<=cptcovprod;k++) /* Useless because included in cptcovn */
1.222     brouard  2883:        cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)]*nbcode[Tvard[k][2]][codtabm(ij,k)];
                   2884:       /* cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,Tvard[k][1])]*nbcode[Tvard[k][2]][codtabm(ij,Tvard[k][2])]; */
1.218     brouard  2885:                        
                   2886:                        
1.217     brouard  2887:       /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/
                   2888:       /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/
1.218     brouard  2889:       /* Careful transposed matrix */
1.222     brouard  2890:       /* age is in cov[2] */
1.218     brouard  2891:       /* out=matprod2(newm, bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent, dnewm, doldm, dsavm,ij),\ */
1.222     brouard  2892:       /*                                                1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); */
1.218     brouard  2893:       out=matprod2(newm, bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent,ij),\
1.222     brouard  2894:                   1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm);
1.217     brouard  2895:       /* if((int)age == 70){ */
                   2896:       /*       printf(" Backward hbxij age=%d agexact=%f d=%d nhstepm=%d hstepm=%d\n", (int) age, agexact, d, nhstepm, hstepm); */
                   2897:       /*       for(i=1; i<=nlstate+ndeath; i++) { */
                   2898:       /*         printf("%d pmmij ",i); */
                   2899:       /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   2900:       /*           printf("%f ",pmmij[i][j]); */
                   2901:       /*         } */
                   2902:       /*         printf(" oldm "); */
                   2903:       /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   2904:       /*           printf("%f ",oldm[i][j]); */
                   2905:       /*         } */
                   2906:       /*         printf("\n"); */
                   2907:       /*       } */
                   2908:       /* } */
                   2909:       savm=oldm;
                   2910:       oldm=newm;
                   2911:     }
                   2912:     for(i=1; i<=nlstate+ndeath; i++)
                   2913:       for(j=1;j<=nlstate+ndeath;j++) {
1.222     brouard  2914:        po[i][j][h]=newm[i][j];
                   2915:        /*if(h==nhstepm) printf("po[%d][%d][%d]=%f ",i,j,h,po[i][j][h]);*/
1.217     brouard  2916:       }
                   2917:     /*printf("h=%d ",h);*/
                   2918:   } /* end h */
1.222     brouard  2919:   /*     printf("\n H=%d \n",h); */
1.217     brouard  2920:   return po;
                   2921: }
                   2922: 
                   2923: 
1.162     brouard  2924: #ifdef NLOPT
                   2925:   double  myfunc(unsigned n, const double *p1, double *grad, void *pd){
                   2926:   double fret;
                   2927:   double *xt;
                   2928:   int j;
                   2929:   myfunc_data *d2 = (myfunc_data *) pd;
                   2930: /* xt = (p1-1); */
                   2931:   xt=vector(1,n); 
                   2932:   for (j=1;j<=n;j++)   xt[j]=p1[j-1]; /* xt[1]=p1[0] */
                   2933: 
                   2934:   fret=(d2->function)(xt); /*  p xt[1]@8 is fine */
                   2935:   /* fret=(*func)(xt); /\*  p xt[1]@8 is fine *\/ */
                   2936:   printf("Function = %.12lf ",fret);
                   2937:   for (j=1;j<=n;j++) printf(" %d %.8lf", j, xt[j]); 
                   2938:   printf("\n");
                   2939:  free_vector(xt,1,n);
                   2940:   return fret;
                   2941: }
                   2942: #endif
1.126     brouard  2943: 
                   2944: /*************** log-likelihood *************/
                   2945: double func( double *x)
                   2946: {
1.226     brouard  2947:   int i, ii, j, k, mi, d, kk;
                   2948:   int ioffset=0;
                   2949:   double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1];
                   2950:   double **out;
                   2951:   double lli; /* Individual log likelihood */
                   2952:   int s1, s2;
1.228     brouard  2953:   int iv=0, iqv=0, itv=0, iqtv=0 ; /* Index of varying covariate, fixed quantitative cov, time varying covariate, quantitative time varying covariate */
1.226     brouard  2954:   double bbh, survp;
                   2955:   long ipmx;
                   2956:   double agexact;
                   2957:   /*extern weight */
                   2958:   /* We are differentiating ll according to initial status */
                   2959:   /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
                   2960:   /*for(i=1;i<imx;i++) 
                   2961:     printf(" %d\n",s[4][i]);
                   2962:   */
1.162     brouard  2963: 
1.226     brouard  2964:   ++countcallfunc;
1.162     brouard  2965: 
1.226     brouard  2966:   cov[1]=1.;
1.126     brouard  2967: 
1.226     brouard  2968:   for(k=1; k<=nlstate; k++) ll[k]=0.;
1.224     brouard  2969:   ioffset=0;
1.226     brouard  2970:   if(mle==1){
                   2971:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
                   2972:       /* Computes the values of the ncovmodel covariates of the model
                   2973:         depending if the covariates are fixed or varying (age dependent) and stores them in cov[]
                   2974:         Then computes with function pmij which return a matrix p[i][j] giving the elementary probability
                   2975:         to be observed in j being in i according to the model.
                   2976:       */
                   2977:       ioffset=2+nagesqr+cptcovage;
                   2978:       /* for (k=1; k<=cptcovn;k++){ /\* Simple and product covariates without age* products *\/ */
                   2979:       for (k=1; k<=ncoveff;k++){ /* Simple and product covariates without age* products */
                   2980:        cov[++ioffset]=covar[Tvar[k]][i];
                   2981:       }
                   2982:       for(iqv=1; iqv <= nqfveff; iqv++){ /* Quantitatives and Fixed covariates */
1.228     brouard  2983:        cov[++ioffset]=coqvar[Tvar[iqv]][i];
1.226     brouard  2984:       }
                   2985: 
                   2986:       /* In model V2+V1*V4+age*V3+V3*V2 Tvar[1] is V2, Tvar[2=V1*V4] 
                   2987:         is 6, Tvar[3=age*V3] should not be computed because of age Tvar[4=V3*V2] 
                   2988:         has been calculated etc */
                   2989:       /* For an individual i, wav[i] gives the number of effective waves */
                   2990:       /* We compute the contribution to Likelihood of each effective transition
                   2991:         mw[mi][i] is real wave of the mi th effectve wave */
                   2992:       /* Then statuses are computed at each begin and end of an effective wave s1=s[ mw[mi][i] ][i];
                   2993:         s2=s[mw[mi+1][i]][i];
                   2994:         And the iv th varying covariate is the cotvar[mw[mi+1][i]][iv][i]
                   2995:         But if the variable is not in the model TTvar[iv] is the real variable effective in the model:
                   2996:         meaning that decodemodel should be used cotvar[mw[mi+1][i]][TTvar[iv]][i]
                   2997:       */
                   2998:       for(mi=1; mi<= wav[i]-1; mi++){
                   2999:        for(itv=1; itv <= ntveff; itv++){ /* Varying dummy covariates */
1.229   ! brouard  3000:          /* cov[ioffset+itv]=cotvar[mw[mi][i]][Tvar[itv]][i]; /\* Not sure, Tvar V4+V3+V5 Tvaraff ? *\/ */
        !          3001:          cov[ioffset+itv]=cotvar[mw[mi][i]][TmodelInvind[itv]][i];
1.226     brouard  3002:        }
                   3003:        for(iqtv=1; iqtv <= nqtveff; iqtv++){ /* Varying quantitatives covariates */
                   3004:          if(cotqvar[mw[mi][i]][iqtv][i] == -1){
                   3005:            printf("i=%d, mi=%d, iqtv=%d, cotqvar[mw[mi][i]][iqtv][i]=%f",i,mi,iqtv,cotqvar[mw[mi][i]][iqtv][i]);
                   3006:          }
1.229   ! brouard  3007:          cov[ioffset+ntveff+iqtv]=cotqvar[mw[mi][i]][TmodelInvQind[iqtv]][i];
        !          3008:          /* cov[ioffset+ntveff+iqtv]=cotqvar[mw[mi][i]][iqtv][i]; */
1.226     brouard  3009:        }
                   3010:        /* ioffset=2+nagesqr+cptcovn+nqv+ntv+nqtv; */
                   3011:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   3012:          for (j=1;j<=nlstate+ndeath;j++){
                   3013:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3014:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3015:          }
                   3016:        for(d=0; d<dh[mi][i]; d++){
                   3017:          newm=savm;
                   3018:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   3019:          cov[2]=agexact;
                   3020:          if(nagesqr==1)
                   3021:            cov[3]= agexact*agexact;  /* Should be changed here */
                   3022:          for (kk=1; kk<=cptcovage;kk++) {
                   3023:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact; /* Tage[kk] gives the data-covariate associated with age */
                   3024:          }
                   3025:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3026:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3027:          savm=oldm;
                   3028:          oldm=newm;
                   3029:        } /* end mult */
1.224     brouard  3030:                                
1.226     brouard  3031:        /*lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);*/ /* Original formula */
                   3032:        /* But now since version 0.9 we anticipate for bias at large stepm.
                   3033:         * If stepm is larger than one month (smallest stepm) and if the exact delay 
                   3034:         * (in months) between two waves is not a multiple of stepm, we rounded to 
                   3035:         * the nearest (and in case of equal distance, to the lowest) interval but now
                   3036:         * we keep into memory the bias bh[mi][i] and also the previous matrix product
                   3037:         * (i.e to dh[mi][i]-1) saved in 'savm'. Then we inter(extra)polate the
                   3038:         * probability in order to take into account the bias as a fraction of the way
                   3039:         * from savm to out if bh is negative or even beyond if bh is positive. bh varies
                   3040:         * -stepm/2 to stepm/2 .
                   3041:         * For stepm=1 the results are the same as for previous versions of Imach.
                   3042:         * For stepm > 1 the results are less biased than in previous versions. 
                   3043:         */
                   3044:        s1=s[mw[mi][i]][i];
                   3045:        s2=s[mw[mi+1][i]][i];
                   3046:        bbh=(double)bh[mi][i]/(double)stepm; 
                   3047:        /* bias bh is positive if real duration
                   3048:         * is higher than the multiple of stepm and negative otherwise.
                   3049:         */
                   3050:        /* lli= (savm[s1][s2]>1.e-8 ?(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]):log((1.+bbh)*out[s1][s2]));*/
                   3051:        if( s2 > nlstate){ 
                   3052:          /* i.e. if s2 is a death state and if the date of death is known 
                   3053:             then the contribution to the likelihood is the probability to 
                   3054:             die between last step unit time and current  step unit time, 
                   3055:             which is also equal to probability to die before dh 
                   3056:             minus probability to die before dh-stepm . 
                   3057:             In version up to 0.92 likelihood was computed
                   3058:             as if date of death was unknown. Death was treated as any other
                   3059:             health state: the date of the interview describes the actual state
                   3060:             and not the date of a change in health state. The former idea was
                   3061:             to consider that at each interview the state was recorded
                   3062:             (healthy, disable or death) and IMaCh was corrected; but when we
                   3063:             introduced the exact date of death then we should have modified
                   3064:             the contribution of an exact death to the likelihood. This new
                   3065:             contribution is smaller and very dependent of the step unit
                   3066:             stepm. It is no more the probability to die between last interview
                   3067:             and month of death but the probability to survive from last
                   3068:             interview up to one month before death multiplied by the
                   3069:             probability to die within a month. Thanks to Chris
                   3070:             Jackson for correcting this bug.  Former versions increased
                   3071:             mortality artificially. The bad side is that we add another loop
                   3072:             which slows down the processing. The difference can be up to 10%
                   3073:             lower mortality.
                   3074:          */
                   3075:          /* If, at the beginning of the maximization mostly, the
                   3076:             cumulative probability or probability to be dead is
                   3077:             constant (ie = 1) over time d, the difference is equal to
                   3078:             0.  out[s1][3] = savm[s1][3]: probability, being at state
                   3079:             s1 at precedent wave, to be dead a month before current
                   3080:             wave is equal to probability, being at state s1 at
                   3081:             precedent wave, to be dead at mont of the current
                   3082:             wave. Then the observed probability (that this person died)
                   3083:             is null according to current estimated parameter. In fact,
                   3084:             it should be very low but not zero otherwise the log go to
                   3085:             infinity.
                   3086:          */
1.183     brouard  3087: /* #ifdef INFINITYORIGINAL */
                   3088: /*         lli=log(out[s1][s2] - savm[s1][s2]); */
                   3089: /* #else */
                   3090: /*       if ((out[s1][s2] - savm[s1][s2]) < mytinydouble)  */
                   3091: /*         lli=log(mytinydouble); */
                   3092: /*       else */
                   3093: /*         lli=log(out[s1][s2] - savm[s1][s2]); */
                   3094: /* #endif */
1.226     brouard  3095:          lli=log(out[s1][s2] - savm[s1][s2]);
1.216     brouard  3096:          
1.226     brouard  3097:        } else if  ( s2==-1 ) { /* alive */
                   3098:          for (j=1,survp=0. ; j<=nlstate; j++) 
                   3099:            survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   3100:          /*survp += out[s1][j]; */
                   3101:          lli= log(survp);
                   3102:        }
                   3103:        else if  (s2==-4) { 
                   3104:          for (j=3,survp=0. ; j<=nlstate; j++)  
                   3105:            survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   3106:          lli= log(survp); 
                   3107:        } 
                   3108:        else if  (s2==-5) { 
                   3109:          for (j=1,survp=0. ; j<=2; j++)  
                   3110:            survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   3111:          lli= log(survp); 
                   3112:        } 
                   3113:        else{
                   3114:          lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
                   3115:          /*  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 */
                   3116:        } 
                   3117:        /*lli=(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]);*/
                   3118:        /*if(lli ==000.0)*/
                   3119:        /*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); */
                   3120:        ipmx +=1;
                   3121:        sw += weight[i];
                   3122:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   3123:        /* if (lli < log(mytinydouble)){ */
                   3124:        /*   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); */
                   3125:        /*   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]); */
                   3126:        /* } */
                   3127:       } /* end of wave */
                   3128:     } /* end of individual */
                   3129:   }  else if(mle==2){
                   3130:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
                   3131:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
                   3132:       for(mi=1; mi<= wav[i]-1; mi++){
                   3133:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   3134:          for (j=1;j<=nlstate+ndeath;j++){
                   3135:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3136:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3137:          }
                   3138:        for(d=0; d<=dh[mi][i]; d++){
                   3139:          newm=savm;
                   3140:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   3141:          cov[2]=agexact;
                   3142:          if(nagesqr==1)
                   3143:            cov[3]= agexact*agexact;
                   3144:          for (kk=1; kk<=cptcovage;kk++) {
                   3145:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
                   3146:          }
                   3147:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3148:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3149:          savm=oldm;
                   3150:          oldm=newm;
                   3151:        } /* end mult */
                   3152:       
                   3153:        s1=s[mw[mi][i]][i];
                   3154:        s2=s[mw[mi+1][i]][i];
                   3155:        bbh=(double)bh[mi][i]/(double)stepm; 
                   3156:        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 */
                   3157:        ipmx +=1;
                   3158:        sw += weight[i];
                   3159:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   3160:       } /* end of wave */
                   3161:     } /* end of individual */
                   3162:   }  else if(mle==3){  /* exponential inter-extrapolation */
                   3163:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
                   3164:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
                   3165:       for(mi=1; mi<= wav[i]-1; mi++){
                   3166:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   3167:          for (j=1;j<=nlstate+ndeath;j++){
                   3168:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3169:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3170:          }
                   3171:        for(d=0; d<dh[mi][i]; d++){
                   3172:          newm=savm;
                   3173:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   3174:          cov[2]=agexact;
                   3175:          if(nagesqr==1)
                   3176:            cov[3]= agexact*agexact;
                   3177:          for (kk=1; kk<=cptcovage;kk++) {
                   3178:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
                   3179:          }
                   3180:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3181:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3182:          savm=oldm;
                   3183:          oldm=newm;
                   3184:        } /* end mult */
                   3185:       
                   3186:        s1=s[mw[mi][i]][i];
                   3187:        s2=s[mw[mi+1][i]][i];
                   3188:        bbh=(double)bh[mi][i]/(double)stepm; 
                   3189:        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 */
                   3190:        ipmx +=1;
                   3191:        sw += weight[i];
                   3192:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   3193:       } /* end of wave */
                   3194:     } /* end of individual */
                   3195:   }else if (mle==4){  /* ml=4 no inter-extrapolation */
                   3196:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
                   3197:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
                   3198:       for(mi=1; mi<= wav[i]-1; mi++){
                   3199:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   3200:          for (j=1;j<=nlstate+ndeath;j++){
                   3201:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3202:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3203:          }
                   3204:        for(d=0; d<dh[mi][i]; d++){
                   3205:          newm=savm;
                   3206:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   3207:          cov[2]=agexact;
                   3208:          if(nagesqr==1)
                   3209:            cov[3]= agexact*agexact;
                   3210:          for (kk=1; kk<=cptcovage;kk++) {
                   3211:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
                   3212:          }
1.126     brouard  3213:        
1.226     brouard  3214:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3215:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3216:          savm=oldm;
                   3217:          oldm=newm;
                   3218:        } /* end mult */
                   3219:       
                   3220:        s1=s[mw[mi][i]][i];
                   3221:        s2=s[mw[mi+1][i]][i];
                   3222:        if( s2 > nlstate){ 
                   3223:          lli=log(out[s1][s2] - savm[s1][s2]);
                   3224:        } else if  ( s2==-1 ) { /* alive */
                   3225:          for (j=1,survp=0. ; j<=nlstate; j++) 
                   3226:            survp += out[s1][j];
                   3227:          lli= log(survp);
                   3228:        }else{
                   3229:          lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
                   3230:        }
                   3231:        ipmx +=1;
                   3232:        sw += weight[i];
                   3233:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
1.126     brouard  3234: /*     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]); */
1.226     brouard  3235:       } /* end of wave */
                   3236:     } /* end of individual */
                   3237:   }else{  /* ml=5 no inter-extrapolation no jackson =0.8a */
                   3238:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
                   3239:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
                   3240:       for(mi=1; mi<= wav[i]-1; mi++){
                   3241:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   3242:          for (j=1;j<=nlstate+ndeath;j++){
                   3243:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3244:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3245:          }
                   3246:        for(d=0; d<dh[mi][i]; d++){
                   3247:          newm=savm;
                   3248:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   3249:          cov[2]=agexact;
                   3250:          if(nagesqr==1)
                   3251:            cov[3]= agexact*agexact;
                   3252:          for (kk=1; kk<=cptcovage;kk++) {
                   3253:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
                   3254:          }
1.126     brouard  3255:        
1.226     brouard  3256:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3257:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3258:          savm=oldm;
                   3259:          oldm=newm;
                   3260:        } /* end mult */
                   3261:       
                   3262:        s1=s[mw[mi][i]][i];
                   3263:        s2=s[mw[mi+1][i]][i];
                   3264:        lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
                   3265:        ipmx +=1;
                   3266:        sw += weight[i];
                   3267:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   3268:        /*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]);*/
                   3269:       } /* end of wave */
                   3270:     } /* end of individual */
                   3271:   } /* End of if */
                   3272:   for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
                   3273:   /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
                   3274:   l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
                   3275:   return -l;
1.126     brouard  3276: }
                   3277: 
                   3278: /*************** log-likelihood *************/
                   3279: double funcone( double *x)
                   3280: {
1.228     brouard  3281:   /* Same as func but slower because of a lot of printf and if */
1.126     brouard  3282:   int i, ii, j, k, mi, d, kk;
1.228     brouard  3283:   int ioffset=0;
1.131     brouard  3284:   double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1];
1.126     brouard  3285:   double **out;
                   3286:   double lli; /* Individual log likelihood */
                   3287:   double llt;
                   3288:   int s1, s2;
1.228     brouard  3289:   int iv=0, iqv=0, itv=0, iqtv=0 ; /* Index of varying covariate, fixed quantitative cov, time varying covariate, quantitative time varying covariate */
                   3290: 
1.126     brouard  3291:   double bbh, survp;
1.187     brouard  3292:   double agexact;
1.214     brouard  3293:   double agebegin, ageend;
1.126     brouard  3294:   /*extern weight */
                   3295:   /* We are differentiating ll according to initial status */
                   3296:   /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
                   3297:   /*for(i=1;i<imx;i++) 
                   3298:     printf(" %d\n",s[4][i]);
                   3299:   */
                   3300:   cov[1]=1.;
                   3301: 
                   3302:   for(k=1; k<=nlstate; k++) ll[k]=0.;
1.224     brouard  3303:   ioffset=0;
                   3304:   for (i=1,ipmx=0, sw=0.; i<=imx; i++){
1.225     brouard  3305:     ioffset=2+nagesqr+cptcovage;
1.224     brouard  3306:     /* for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i]; */
1.226     brouard  3307:     for (k=1; k<=ncoveff+nqfveff;k++){ /* Simple and product fixed covariates without age* products */
1.225     brouard  3308:       cov[++ioffset]=covar[Tvar[k]][i];
                   3309:     }
1.226     brouard  3310:     for(iqv=1; iqv <= nqfveff; iqv++){ /* Quantitative fixed covariates */
                   3311:       cov[++ioffset]=coqvar[Tvar[iqv]][i];
1.225     brouard  3312:     }
                   3313:     
1.226     brouard  3314:     for(mi=1; mi<= wav[i]-1; mi++){  /* Varying with waves */
1.225     brouard  3315:       for(itv=1; itv <= ntveff; itv++){ /* Varying dummy covariates */
1.228     brouard  3316:        /* iv= Tvar[Tmodelind[ioffset-2-nagesqr-cptcovage+itv]]-ncovcol-nqv; /\* Counting the # varying covariate from 1 to ntveff *\/ */
                   3317:        /* cov[ioffset+iv]=cotvar[mw[mi][i]][iv][i]; */
                   3318:        k=ioffset-2-nagesqr-cptcovage+itv; /* position in simple model */
                   3319:        cov[ioffset+itv]=cotvar[mw[mi][i]][TmodelInvind[itv]][i];
1.229   ! brouard  3320:        /* printf(" i=%d,mi=%d,itv=%d,TmodelInvind[itv]=%d,cotvar[mw[mi][i]][TmodelInvind[itv]][i]=%f\n", i, mi, itv, TmodelInvind[itv],cotvar[mw[mi][i]][TmodelInvind[itv]][i]); */
1.225     brouard  3321:       }
                   3322:       for(iqtv=1; iqtv <= nqtveff; iqtv++){ /* Varying quantitatives covariates */
1.228     brouard  3323:        iv=TmodelInvQind[iqtv]; /* Counting the # varying covariate from 1 to ntveff */
1.229   ! brouard  3324:        /* printf(" i=%d,mi=%d,iqtv=%d,TmodelInvQind[iqtv]=%d,cotqvar[mw[mi][i]][TmodelInvQind[iqtv]][i]=%f\n", i, mi, iqtv, TmodelInvQind[iqtv],cotqvar[mw[mi][i]][TmodelInvQind[iqtv]][i]); */
1.228     brouard  3325:        cov[ioffset+ntveff+iqtv]=cotqvar[mw[mi][i]][TmodelInvQind[iqtv]][i];
1.225     brouard  3326:       }
1.126     brouard  3327:       for (ii=1;ii<=nlstate+ndeath;ii++)
1.225     brouard  3328:        for (j=1;j<=nlstate+ndeath;j++){
                   3329:          oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3330:          savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3331:        }
1.214     brouard  3332:       
                   3333:       agebegin=agev[mw[mi][i]][i]; /* Age at beginning of effective wave */
                   3334:       ageend=agev[mw[mi][i]][i] + (dh[mi][i])*stepm/YEARM; /* Age at end of effective wave and at the end of transition */
                   3335:       for(d=0; d<dh[mi][i]; d++){  /* Delay between two effective waves */
1.225     brouard  3336:        /*dh[m][i] or dh[mw[mi][i]][i] is the delay between two effective waves m=mw[mi][i]
                   3337:          and mw[mi+1][i]. dh depends on stepm.*/
                   3338:        newm=savm;
                   3339:        agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   3340:        cov[2]=agexact;
                   3341:        if(nagesqr==1)
                   3342:          cov[3]= agexact*agexact;
                   3343:        for (kk=1; kk<=cptcovage;kk++) {
                   3344:          cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
                   3345:        }
                   3346:        /* printf("i=%d,mi=%d,d=%d,mw[mi][i]=%d\n",i, mi,d,mw[mi][i]); */
                   3347:        /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
                   3348:        out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3349:                     1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3350:        /* out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath, */
                   3351:        /*           1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate)); */
                   3352:        savm=oldm;
                   3353:        oldm=newm;
1.126     brouard  3354:       } /* end mult */
                   3355:       
                   3356:       s1=s[mw[mi][i]][i];
                   3357:       s2=s[mw[mi+1][i]][i];
1.217     brouard  3358:       /* if(s2==-1){ */
                   3359:       /*       printf(" s1=%d, s2=%d i=%d \n", s1, s2, i); */
                   3360:       /*       /\* exit(1); *\/ */
                   3361:       /* } */
1.126     brouard  3362:       bbh=(double)bh[mi][i]/(double)stepm; 
                   3363:       /* bias is positive if real duration
                   3364:        * is higher than the multiple of stepm and negative otherwise.
                   3365:        */
                   3366:       if( s2 > nlstate && (mle <5) ){  /* Jackson */
1.225     brouard  3367:        lli=log(out[s1][s2] - savm[s1][s2]);
1.216     brouard  3368:       } else if  ( s2==-1 ) { /* alive */
1.225     brouard  3369:        for (j=1,survp=0. ; j<=nlstate; j++) 
                   3370:          survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   3371:        lli= log(survp);
1.126     brouard  3372:       }else if (mle==1){
1.225     brouard  3373:        lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
1.126     brouard  3374:       } else if(mle==2){
1.225     brouard  3375:        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 */
1.126     brouard  3376:       } else if(mle==3){  /* exponential inter-extrapolation */
1.225     brouard  3377:        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 */
1.126     brouard  3378:       } else if (mle==4){  /* mle=4 no inter-extrapolation */
1.225     brouard  3379:        lli=log(out[s1][s2]); /* Original formula */
1.136     brouard  3380:       } else{  /* mle=0 back to 1 */
1.225     brouard  3381:        lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
                   3382:        /*lli=log(out[s1][s2]); */ /* Original formula */
1.126     brouard  3383:       } /* End of if */
                   3384:       ipmx +=1;
                   3385:       sw += weight[i];
                   3386:       ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
1.132     brouard  3387:       /*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  3388:       if(globpr){
1.225     brouard  3389:        fprintf(ficresilk,"%9ld %6.1f %6.1f %6d %2d %2d %2d %2d %3d %15.6f %8.4f %8.3f\
1.126     brouard  3390:  %11.6f %11.6f %11.6f ", \
1.225     brouard  3391:                num[i], agebegin, ageend, i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],weight[i]*gipmx/gsw,
                   3392:                2*weight[i]*lli,out[s1][s2],savm[s1][s2]);
                   3393:        for(k=1,llt=0.,l=0.; k<=nlstate; k++){
                   3394:          llt +=ll[k]*gipmx/gsw;
                   3395:          fprintf(ficresilk," %10.6f",-ll[k]*gipmx/gsw);
                   3396:        }
                   3397:        fprintf(ficresilk," %10.6f\n", -llt);
1.126     brouard  3398:       }
                   3399:     } /* end of wave */
                   3400:   } /* end of individual */
                   3401:   for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
                   3402:   /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
                   3403:   l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
                   3404:   if(globpr==0){ /* First time we count the contributions and weights */
                   3405:     gipmx=ipmx;
                   3406:     gsw=sw;
                   3407:   }
                   3408:   return -l;
                   3409: }
                   3410: 
                   3411: 
                   3412: /*************** function likelione ***********/
                   3413: void likelione(FILE *ficres,double p[], int npar, int nlstate, int *globpri, long *ipmx, double *sw, double *fretone, double (*funcone)(double []))
                   3414: {
                   3415:   /* This routine should help understanding what is done with 
                   3416:      the selection of individuals/waves and
                   3417:      to check the exact contribution to the likelihood.
                   3418:      Plotting could be done.
                   3419:    */
                   3420:   int k;
                   3421: 
                   3422:   if(*globpri !=0){ /* Just counts and sums, no printings */
1.201     brouard  3423:     strcpy(fileresilk,"ILK_"); 
1.202     brouard  3424:     strcat(fileresilk,fileresu);
1.126     brouard  3425:     if((ficresilk=fopen(fileresilk,"w"))==NULL) {
                   3426:       printf("Problem with resultfile: %s\n", fileresilk);
                   3427:       fprintf(ficlog,"Problem with resultfile: %s\n", fileresilk);
                   3428:     }
1.214     brouard  3429:     fprintf(ficresilk, "#individual(line's_record) count ageb ageend s1 s2 wave# effective_wave# number_of_matrices_product pij weight weight/gpw -2ln(pij)*weight 0pij_x 0pij_(x-stepm) cumulating_loglikeli_by_health_state(reweighted=-2ll*weightXnumber_of_contribs/sum_of_weights) and_total\n");
                   3430:     fprintf(ficresilk, "#num_i ageb agend i s1 s2 mi mw dh likeli weight %%weight 2wlli out sav ");
1.126     brouard  3431:     /*         i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],2*weight[i]*lli,out[s1][s2],savm[s1][s2]); */
                   3432:     for(k=1; k<=nlstate; k++) 
                   3433:       fprintf(ficresilk," -2*gipw/gsw*weight*ll[%d]++",k);
                   3434:     fprintf(ficresilk," -2*gipw/gsw*weight*ll(total)\n");
                   3435:   }
                   3436: 
                   3437:   *fretone=(*funcone)(p);
                   3438:   if(*globpri !=0){
                   3439:     fclose(ficresilk);
1.205     brouard  3440:     if (mle ==0)
                   3441:       fprintf(fichtm,"\n<br>File of contributions to the likelihood computed with initial parameters and mle = %d.",mle);
                   3442:     else if(mle >=1)
                   3443:       fprintf(fichtm,"\n<br>File of contributions to the likelihood computed with optimized parameters mle = %d.",mle);
                   3444:     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  3445:     
1.208     brouard  3446:       
                   3447:     for (k=1; k<= nlstate ; k++) {
1.211     brouard  3448:       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  3449: <img src=\"%s-p%dj.png\">",k,k,subdirf2(optionfilefiname,"ILK_"),k,subdirf2(optionfilefiname,"ILK_"),k,subdirf2(optionfilefiname,"ILK_"),k);
                   3450:     }
1.207     brouard  3451:     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  3452: <img src=\"%s-ori.png\">",subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"));
1.207     brouard  3453:     fprintf(fichtm,"<br>- and by state of destination <a href=\"%s-dest.png\">%s-dest.png</a><br> \
1.204     brouard  3454: <img src=\"%s-dest.png\">",subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"));
1.207     brouard  3455:     fflush(fichtm);
1.205     brouard  3456:   }
1.126     brouard  3457:   return;
                   3458: }
                   3459: 
                   3460: 
                   3461: /*********** Maximum Likelihood Estimation ***************/
                   3462: 
                   3463: void mlikeli(FILE *ficres,double p[], int npar, int ncovmodel, int nlstate, double ftol, double (*func)(double []))
                   3464: {
1.165     brouard  3465:   int i,j, iter=0;
1.126     brouard  3466:   double **xi;
                   3467:   double fret;
                   3468:   double fretone; /* Only one call to likelihood */
                   3469:   /*  char filerespow[FILENAMELENGTH];*/
1.162     brouard  3470: 
                   3471: #ifdef NLOPT
                   3472:   int creturn;
                   3473:   nlopt_opt opt;
                   3474:   /* double lb[9] = { -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL }; /\* lower bounds *\/ */
                   3475:   double *lb;
                   3476:   double minf; /* the minimum objective value, upon return */
                   3477:   double * p1; /* Shifted parameters from 0 instead of 1 */
                   3478:   myfunc_data dinst, *d = &dinst;
                   3479: #endif
                   3480: 
                   3481: 
1.126     brouard  3482:   xi=matrix(1,npar,1,npar);
                   3483:   for (i=1;i<=npar;i++)
                   3484:     for (j=1;j<=npar;j++)
                   3485:       xi[i][j]=(i==j ? 1.0 : 0.0);
                   3486:   printf("Powell\n");  fprintf(ficlog,"Powell\n");
1.201     brouard  3487:   strcpy(filerespow,"POW_"); 
1.126     brouard  3488:   strcat(filerespow,fileres);
                   3489:   if((ficrespow=fopen(filerespow,"w"))==NULL) {
                   3490:     printf("Problem with resultfile: %s\n", filerespow);
                   3491:     fprintf(ficlog,"Problem with resultfile: %s\n", filerespow);
                   3492:   }
                   3493:   fprintf(ficrespow,"# Powell\n# iter -2*LL");
                   3494:   for (i=1;i<=nlstate;i++)
                   3495:     for(j=1;j<=nlstate+ndeath;j++)
                   3496:       if(j!=i)fprintf(ficrespow," p%1d%1d",i,j);
                   3497:   fprintf(ficrespow,"\n");
1.162     brouard  3498: #ifdef POWELL
1.126     brouard  3499:   powell(p,xi,npar,ftol,&iter,&fret,func);
1.162     brouard  3500: #endif
1.126     brouard  3501: 
1.162     brouard  3502: #ifdef NLOPT
                   3503: #ifdef NEWUOA
                   3504:   opt = nlopt_create(NLOPT_LN_NEWUOA,npar);
                   3505: #else
                   3506:   opt = nlopt_create(NLOPT_LN_BOBYQA,npar);
                   3507: #endif
                   3508:   lb=vector(0,npar-1);
                   3509:   for (i=0;i<npar;i++) lb[i]= -HUGE_VAL;
                   3510:   nlopt_set_lower_bounds(opt, lb);
                   3511:   nlopt_set_initial_step1(opt, 0.1);
                   3512:   
                   3513:   p1= (p+1); /*  p *(p+1)@8 and p *(p1)@8 are equal p1[0]=p[1] */
                   3514:   d->function = func;
                   3515:   printf(" Func %.12lf \n",myfunc(npar,p1,NULL,d));
                   3516:   nlopt_set_min_objective(opt, myfunc, d);
                   3517:   nlopt_set_xtol_rel(opt, ftol);
                   3518:   if ((creturn=nlopt_optimize(opt, p1, &minf)) < 0) {
                   3519:     printf("nlopt failed! %d\n",creturn); 
                   3520:   }
                   3521:   else {
                   3522:     printf("found minimum after %d evaluations (NLOPT=%d)\n", countcallfunc ,NLOPT);
                   3523:     printf("found minimum at f(%g,%g) = %0.10g\n", p[0], p[1], minf);
                   3524:     iter=1; /* not equal */
                   3525:   }
                   3526:   nlopt_destroy(opt);
                   3527: #endif
1.126     brouard  3528:   free_matrix(xi,1,npar,1,npar);
                   3529:   fclose(ficrespow);
1.203     brouard  3530:   printf("\n#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
                   3531:   fprintf(ficlog,"\n#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
1.180     brouard  3532:   fprintf(ficres,"#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
1.126     brouard  3533: 
                   3534: }
                   3535: 
                   3536: /**** Computes Hessian and covariance matrix ***/
1.203     brouard  3537: void hesscov(double **matcov, double **hess, double p[], int npar, double delti[], double ftolhess, double (*func)(double []))
1.126     brouard  3538: {
                   3539:   double  **a,**y,*x,pd;
1.203     brouard  3540:   /* double **hess; */
1.164     brouard  3541:   int i, j;
1.126     brouard  3542:   int *indx;
                   3543: 
                   3544:   double hessii(double p[], double delta, int theta, double delti[],double (*func)(double []),int npar);
1.203     brouard  3545:   double hessij(double p[], double **hess, double delti[], int i, int j,double (*func)(double []),int npar);
1.126     brouard  3546:   void lubksb(double **a, int npar, int *indx, double b[]) ;
                   3547:   void ludcmp(double **a, int npar, int *indx, double *d) ;
                   3548:   double gompertz(double p[]);
1.203     brouard  3549:   /* hess=matrix(1,npar,1,npar); */
1.126     brouard  3550: 
                   3551:   printf("\nCalculation of the hessian matrix. Wait...\n");
                   3552:   fprintf(ficlog,"\nCalculation of the hessian matrix. Wait...\n");
                   3553:   for (i=1;i<=npar;i++){
1.203     brouard  3554:     printf("%d-",i);fflush(stdout);
                   3555:     fprintf(ficlog,"%d-",i);fflush(ficlog);
1.126     brouard  3556:    
                   3557:      hess[i][i]=hessii(p,ftolhess,i,delti,func,npar);
                   3558:     
                   3559:     /*  printf(" %f ",p[i]);
                   3560:        printf(" %lf %lf %lf",hess[i][i],ftolhess,delti[i]);*/
                   3561:   }
                   3562:   
                   3563:   for (i=1;i<=npar;i++) {
                   3564:     for (j=1;j<=npar;j++)  {
                   3565:       if (j>i) { 
1.203     brouard  3566:        printf(".%d-%d",i,j);fflush(stdout);
                   3567:        fprintf(ficlog,".%d-%d",i,j);fflush(ficlog);
                   3568:        hess[i][j]=hessij(p,hess, delti,i,j,func,npar);
1.126     brouard  3569:        
                   3570:        hess[j][i]=hess[i][j];    
                   3571:        /*printf(" %lf ",hess[i][j]);*/
                   3572:       }
                   3573:     }
                   3574:   }
                   3575:   printf("\n");
                   3576:   fprintf(ficlog,"\n");
                   3577: 
                   3578:   printf("\nInverting the hessian to get the covariance matrix. Wait...\n");
                   3579:   fprintf(ficlog,"\nInverting the hessian to get the covariance matrix. Wait...\n");
                   3580:   
                   3581:   a=matrix(1,npar,1,npar);
                   3582:   y=matrix(1,npar,1,npar);
                   3583:   x=vector(1,npar);
                   3584:   indx=ivector(1,npar);
                   3585:   for (i=1;i<=npar;i++)
                   3586:     for (j=1;j<=npar;j++) a[i][j]=hess[i][j];
                   3587:   ludcmp(a,npar,indx,&pd);
                   3588: 
                   3589:   for (j=1;j<=npar;j++) {
                   3590:     for (i=1;i<=npar;i++) x[i]=0;
                   3591:     x[j]=1;
                   3592:     lubksb(a,npar,indx,x);
                   3593:     for (i=1;i<=npar;i++){ 
                   3594:       matcov[i][j]=x[i];
                   3595:     }
                   3596:   }
                   3597: 
                   3598:   printf("\n#Hessian matrix#\n");
                   3599:   fprintf(ficlog,"\n#Hessian matrix#\n");
                   3600:   for (i=1;i<=npar;i++) { 
                   3601:     for (j=1;j<=npar;j++) { 
1.203     brouard  3602:       printf("%.6e ",hess[i][j]);
                   3603:       fprintf(ficlog,"%.6e ",hess[i][j]);
1.126     brouard  3604:     }
                   3605:     printf("\n");
                   3606:     fprintf(ficlog,"\n");
                   3607:   }
                   3608: 
1.203     brouard  3609:   /* printf("\n#Covariance matrix#\n"); */
                   3610:   /* fprintf(ficlog,"\n#Covariance matrix#\n"); */
                   3611:   /* for (i=1;i<=npar;i++) {  */
                   3612:   /*   for (j=1;j<=npar;j++) {  */
                   3613:   /*     printf("%.6e ",matcov[i][j]); */
                   3614:   /*     fprintf(ficlog,"%.6e ",matcov[i][j]); */
                   3615:   /*   } */
                   3616:   /*   printf("\n"); */
                   3617:   /*   fprintf(ficlog,"\n"); */
                   3618:   /* } */
                   3619: 
1.126     brouard  3620:   /* Recompute Inverse */
1.203     brouard  3621:   /* for (i=1;i<=npar;i++) */
                   3622:   /*   for (j=1;j<=npar;j++) a[i][j]=matcov[i][j]; */
                   3623:   /* ludcmp(a,npar,indx,&pd); */
                   3624: 
                   3625:   /*  printf("\n#Hessian matrix recomputed#\n"); */
                   3626: 
                   3627:   /* for (j=1;j<=npar;j++) { */
                   3628:   /*   for (i=1;i<=npar;i++) x[i]=0; */
                   3629:   /*   x[j]=1; */
                   3630:   /*   lubksb(a,npar,indx,x); */
                   3631:   /*   for (i=1;i<=npar;i++){  */
                   3632:   /*     y[i][j]=x[i]; */
                   3633:   /*     printf("%.3e ",y[i][j]); */
                   3634:   /*     fprintf(ficlog,"%.3e ",y[i][j]); */
                   3635:   /*   } */
                   3636:   /*   printf("\n"); */
                   3637:   /*   fprintf(ficlog,"\n"); */
                   3638:   /* } */
                   3639: 
                   3640:   /* Verifying the inverse matrix */
                   3641: #ifdef DEBUGHESS
                   3642:   y=matprod2(y,hess,1,npar,1,npar,1,npar,matcov);
1.126     brouard  3643: 
1.203     brouard  3644:    printf("\n#Verification: multiplying the matrix of covariance by the Hessian matrix, should be unity:#\n");
                   3645:    fprintf(ficlog,"\n#Verification: multiplying the matrix of covariance by the Hessian matrix. Should be unity:#\n");
1.126     brouard  3646: 
                   3647:   for (j=1;j<=npar;j++) {
                   3648:     for (i=1;i<=npar;i++){ 
1.203     brouard  3649:       printf("%.2f ",y[i][j]);
                   3650:       fprintf(ficlog,"%.2f ",y[i][j]);
1.126     brouard  3651:     }
                   3652:     printf("\n");
                   3653:     fprintf(ficlog,"\n");
                   3654:   }
1.203     brouard  3655: #endif
1.126     brouard  3656: 
                   3657:   free_matrix(a,1,npar,1,npar);
                   3658:   free_matrix(y,1,npar,1,npar);
                   3659:   free_vector(x,1,npar);
                   3660:   free_ivector(indx,1,npar);
1.203     brouard  3661:   /* free_matrix(hess,1,npar,1,npar); */
1.126     brouard  3662: 
                   3663: 
                   3664: }
                   3665: 
                   3666: /*************** hessian matrix ****************/
                   3667: double hessii(double x[], double delta, int theta, double delti[], double (*func)(double []), int npar)
1.203     brouard  3668: { /* Around values of x, computes the function func and returns the scales delti and hessian */
1.126     brouard  3669:   int i;
                   3670:   int l=1, lmax=20;
1.203     brouard  3671:   double k1,k2, res, fx;
1.132     brouard  3672:   double p2[MAXPARM+1]; /* identical to x */
1.126     brouard  3673:   double delt=0.0001, delts, nkhi=10.,nkhif=1., khi=1.e-4;
                   3674:   int k=0,kmax=10;
                   3675:   double l1;
                   3676: 
                   3677:   fx=func(x);
                   3678:   for (i=1;i<=npar;i++) p2[i]=x[i];
1.145     brouard  3679:   for(l=0 ; l <=lmax; l++){  /* Enlarging the zone around the Maximum */
1.126     brouard  3680:     l1=pow(10,l);
                   3681:     delts=delt;
                   3682:     for(k=1 ; k <kmax; k=k+1){
                   3683:       delt = delta*(l1*k);
                   3684:       p2[theta]=x[theta] +delt;
1.145     brouard  3685:       k1=func(p2)-fx;   /* Might be negative if too close to the theoretical maximum */
1.126     brouard  3686:       p2[theta]=x[theta]-delt;
                   3687:       k2=func(p2)-fx;
                   3688:       /*res= (k1-2.0*fx+k2)/delt/delt; */
1.203     brouard  3689:       res= (k1+k2)/delt/delt/2.; /* Divided by 2 because L and not 2*L */
1.126     brouard  3690:       
1.203     brouard  3691: #ifdef DEBUGHESSII
1.126     brouard  3692:       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);
                   3693:       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);
                   3694: #endif
                   3695:       /*if(fabs(k1-2.0*fx+k2) <1.e-13){ */
                   3696:       if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)){
                   3697:        k=kmax;
                   3698:       }
                   3699:       else if((k1 >khi/nkhif) || (k2 >khi/nkhif)){ /* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. */
1.164     brouard  3700:        k=kmax; l=lmax*10;
1.126     brouard  3701:       }
                   3702:       else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){ 
                   3703:        delts=delt;
                   3704:       }
1.203     brouard  3705:     } /* End loop k */
1.126     brouard  3706:   }
                   3707:   delti[theta]=delts;
                   3708:   return res; 
                   3709:   
                   3710: }
                   3711: 
1.203     brouard  3712: double hessij( double x[], double **hess, double delti[], int thetai,int thetaj,double (*func)(double []),int npar)
1.126     brouard  3713: {
                   3714:   int i;
1.164     brouard  3715:   int l=1, lmax=20;
1.126     brouard  3716:   double k1,k2,k3,k4,res,fx;
1.132     brouard  3717:   double p2[MAXPARM+1];
1.203     brouard  3718:   int k, kmax=1;
                   3719:   double v1, v2, cv12, lc1, lc2;
1.208     brouard  3720: 
                   3721:   int firstime=0;
1.203     brouard  3722:   
1.126     brouard  3723:   fx=func(x);
1.203     brouard  3724:   for (k=1; k<=kmax; k=k+10) {
1.126     brouard  3725:     for (i=1;i<=npar;i++) p2[i]=x[i];
1.203     brouard  3726:     p2[thetai]=x[thetai]+delti[thetai]*k;
                   3727:     p2[thetaj]=x[thetaj]+delti[thetaj]*k;
1.126     brouard  3728:     k1=func(p2)-fx;
                   3729:   
1.203     brouard  3730:     p2[thetai]=x[thetai]+delti[thetai]*k;
                   3731:     p2[thetaj]=x[thetaj]-delti[thetaj]*k;
1.126     brouard  3732:     k2=func(p2)-fx;
                   3733:   
1.203     brouard  3734:     p2[thetai]=x[thetai]-delti[thetai]*k;
                   3735:     p2[thetaj]=x[thetaj]+delti[thetaj]*k;
1.126     brouard  3736:     k3=func(p2)-fx;
                   3737:   
1.203     brouard  3738:     p2[thetai]=x[thetai]-delti[thetai]*k;
                   3739:     p2[thetaj]=x[thetaj]-delti[thetaj]*k;
1.126     brouard  3740:     k4=func(p2)-fx;
1.203     brouard  3741:     res=(k1-k2-k3+k4)/4.0/delti[thetai]/k/delti[thetaj]/k/2.; /* Because of L not 2*L */
                   3742:     if(k1*k2*k3*k4 <0.){
1.208     brouard  3743:       firstime=1;
1.203     brouard  3744:       kmax=kmax+10;
1.208     brouard  3745:     }
                   3746:     if(kmax >=10 || firstime ==1){
1.218     brouard  3747:       printf("Warning: directions %d-%d, you are not estimating the Hessian at the exact maximum likelihood; you may increase ftol=%.2e\n",thetai,thetaj, ftol);
                   3748:       fprintf(ficlog,"Warning: directions %d-%d, you are not estimating the Hessian at the exact maximum likelihood; you may increase ftol=%.2e\n",thetai,thetaj, ftol);
1.203     brouard  3749:       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);
                   3750:       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);
                   3751:     }
                   3752: #ifdef DEBUGHESSIJ
                   3753:     v1=hess[thetai][thetai];
                   3754:     v2=hess[thetaj][thetaj];
                   3755:     cv12=res;
                   3756:     /* Computing eigen value of Hessian matrix */
                   3757:     lc1=((v1+v2)+sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                   3758:     lc2=((v1+v2)-sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                   3759:     if ((lc2 <0) || (lc1 <0) ){
                   3760:       printf("Warning: sub Hessian matrix '%d%d' does not have positive eigen values \n",thetai,thetaj);
                   3761:       fprintf(ficlog, "Warning: sub Hessian matrix '%d%d' does not have positive eigen values \n",thetai,thetaj);
                   3762:       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);
                   3763:       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);
                   3764:     }
1.126     brouard  3765: #endif
                   3766:   }
                   3767:   return res;
                   3768: }
                   3769: 
1.203     brouard  3770:     /* Not done yet: Was supposed to fix if not exactly at the maximum */
                   3771: /* double hessij( double x[], double delti[], int thetai,int thetaj,double (*func)(double []),int npar) */
                   3772: /* { */
                   3773: /*   int i; */
                   3774: /*   int l=1, lmax=20; */
                   3775: /*   double k1,k2,k3,k4,res,fx; */
                   3776: /*   double p2[MAXPARM+1]; */
                   3777: /*   double delt=0.0001, delts, nkhi=10.,nkhif=1., khi=1.e-4; */
                   3778: /*   int k=0,kmax=10; */
                   3779: /*   double l1; */
                   3780:   
                   3781: /*   fx=func(x); */
                   3782: /*   for(l=0 ; l <=lmax; l++){  /\* Enlarging the zone around the Maximum *\/ */
                   3783: /*     l1=pow(10,l); */
                   3784: /*     delts=delt; */
                   3785: /*     for(k=1 ; k <kmax; k=k+1){ */
                   3786: /*       delt = delti*(l1*k); */
                   3787: /*       for (i=1;i<=npar;i++) p2[i]=x[i]; */
                   3788: /*       p2[thetai]=x[thetai]+delti[thetai]/k; */
                   3789: /*       p2[thetaj]=x[thetaj]+delti[thetaj]/k; */
                   3790: /*       k1=func(p2)-fx; */
                   3791:       
                   3792: /*       p2[thetai]=x[thetai]+delti[thetai]/k; */
                   3793: /*       p2[thetaj]=x[thetaj]-delti[thetaj]/k; */
                   3794: /*       k2=func(p2)-fx; */
                   3795:       
                   3796: /*       p2[thetai]=x[thetai]-delti[thetai]/k; */
                   3797: /*       p2[thetaj]=x[thetaj]+delti[thetaj]/k; */
                   3798: /*       k3=func(p2)-fx; */
                   3799:       
                   3800: /*       p2[thetai]=x[thetai]-delti[thetai]/k; */
                   3801: /*       p2[thetaj]=x[thetaj]-delti[thetaj]/k; */
                   3802: /*       k4=func(p2)-fx; */
                   3803: /*       res=(k1-k2-k3+k4)/4.0/delti[thetai]*k/delti[thetaj]*k/2.; /\* Because of L not 2*L *\/ */
                   3804: /* #ifdef DEBUGHESSIJ */
                   3805: /*       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); */
                   3806: /*       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); */
                   3807: /* #endif */
                   3808: /*       if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)|| (k4 <khi/nkhi/2.)|| (k4 <khi/nkhi/2.)){ */
                   3809: /*     k=kmax; */
                   3810: /*       } */
                   3811: /*       else if((k1 >khi/nkhif) || (k2 >khi/nkhif) || (k4 >khi/nkhif) || (k4 >khi/nkhif)){ /\* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. *\/ */
                   3812: /*     k=kmax; l=lmax*10; */
                   3813: /*       } */
                   3814: /*       else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){  */
                   3815: /*     delts=delt; */
                   3816: /*       } */
                   3817: /*     } /\* End loop k *\/ */
                   3818: /*   } */
                   3819: /*   delti[theta]=delts; */
                   3820: /*   return res;  */
                   3821: /* } */
                   3822: 
                   3823: 
1.126     brouard  3824: /************** Inverse of matrix **************/
                   3825: void ludcmp(double **a, int n, int *indx, double *d) 
                   3826: { 
                   3827:   int i,imax,j,k; 
                   3828:   double big,dum,sum,temp; 
                   3829:   double *vv; 
                   3830:  
                   3831:   vv=vector(1,n); 
                   3832:   *d=1.0; 
                   3833:   for (i=1;i<=n;i++) { 
                   3834:     big=0.0; 
                   3835:     for (j=1;j<=n;j++) 
                   3836:       if ((temp=fabs(a[i][j])) > big) big=temp; 
                   3837:     if (big == 0.0) nrerror("Singular matrix in routine ludcmp"); 
                   3838:     vv[i]=1.0/big; 
                   3839:   } 
                   3840:   for (j=1;j<=n;j++) { 
                   3841:     for (i=1;i<j;i++) { 
                   3842:       sum=a[i][j]; 
                   3843:       for (k=1;k<i;k++) sum -= a[i][k]*a[k][j]; 
                   3844:       a[i][j]=sum; 
                   3845:     } 
                   3846:     big=0.0; 
                   3847:     for (i=j;i<=n;i++) { 
                   3848:       sum=a[i][j]; 
                   3849:       for (k=1;k<j;k++) 
                   3850:        sum -= a[i][k]*a[k][j]; 
                   3851:       a[i][j]=sum; 
                   3852:       if ( (dum=vv[i]*fabs(sum)) >= big) { 
                   3853:        big=dum; 
                   3854:        imax=i; 
                   3855:       } 
                   3856:     } 
                   3857:     if (j != imax) { 
                   3858:       for (k=1;k<=n;k++) { 
                   3859:        dum=a[imax][k]; 
                   3860:        a[imax][k]=a[j][k]; 
                   3861:        a[j][k]=dum; 
                   3862:       } 
                   3863:       *d = -(*d); 
                   3864:       vv[imax]=vv[j]; 
                   3865:     } 
                   3866:     indx[j]=imax; 
                   3867:     if (a[j][j] == 0.0) a[j][j]=TINY; 
                   3868:     if (j != n) { 
                   3869:       dum=1.0/(a[j][j]); 
                   3870:       for (i=j+1;i<=n;i++) a[i][j] *= dum; 
                   3871:     } 
                   3872:   } 
                   3873:   free_vector(vv,1,n);  /* Doesn't work */
                   3874: ;
                   3875: } 
                   3876: 
                   3877: void lubksb(double **a, int n, int *indx, double b[]) 
                   3878: { 
                   3879:   int i,ii=0,ip,j; 
                   3880:   double sum; 
                   3881:  
                   3882:   for (i=1;i<=n;i++) { 
                   3883:     ip=indx[i]; 
                   3884:     sum=b[ip]; 
                   3885:     b[ip]=b[i]; 
                   3886:     if (ii) 
                   3887:       for (j=ii;j<=i-1;j++) sum -= a[i][j]*b[j]; 
                   3888:     else if (sum) ii=i; 
                   3889:     b[i]=sum; 
                   3890:   } 
                   3891:   for (i=n;i>=1;i--) { 
                   3892:     sum=b[i]; 
                   3893:     for (j=i+1;j<=n;j++) sum -= a[i][j]*b[j]; 
                   3894:     b[i]=sum/a[i][i]; 
                   3895:   } 
                   3896: } 
                   3897: 
                   3898: void pstamp(FILE *fichier)
                   3899: {
1.196     brouard  3900:   fprintf(fichier,"# %s.%s\n#IMaCh version %s, %s\n#%s\n# %s", optionfilefiname,optionfilext,version,copyright, fullversion, strstart);
1.126     brouard  3901: }
                   3902: 
                   3903: /************ Frequencies ********************/
1.226     brouard  3904: void  freqsummary(char fileres[], int iagemin, int iagemax, int **s, double **agev, int nlstate, int imx, \
                   3905:                  int *Tvaraff, int *invalidvarcomb, int **nbcode, int *ncodemax,double **mint,double **anint, char strstart[], \
                   3906:                  int firstpass,  int lastpass, int stepm, int weightopt, char model[])
                   3907: {  /* Some frequencies */
                   3908:   
1.227     brouard  3909:   int i, m, jk, j1, bool, z1,j, k, iv;
1.226     brouard  3910:   int iind=0, iage=0;
                   3911:   int mi; /* Effective wave */
                   3912:   int first;
                   3913:   double ***freq; /* Frequencies */
                   3914:   double *meanq;
                   3915:   double **meanqt;
                   3916:   double *pp, **prop, *posprop, *pospropt;
                   3917:   double pos=0., posproptt=0., pospropta=0., k2, dateintsum=0,k2cpt=0;
                   3918:   char fileresp[FILENAMELENGTH], fileresphtm[FILENAMELENGTH], fileresphtmfr[FILENAMELENGTH];
                   3919:   double agebegin, ageend;
                   3920:     
                   3921:   pp=vector(1,nlstate);
                   3922:   prop=matrix(1,nlstate,iagemin-AGEMARGE,iagemax+3+AGEMARGE); 
                   3923:   posprop=vector(1,nlstate); /* Counting the number of transition starting from a live state per age */ 
                   3924:   pospropt=vector(1,nlstate); /* Counting the number of transition starting from a live state */ 
                   3925:   /* prop=matrix(1,nlstate,iagemin,iagemax+3); */
                   3926:   meanq=vector(1,nqfveff); /* Number of Quantitative Fixed Variables Effective */
                   3927:   meanqt=matrix(1,lastpass,1,nqtveff);
                   3928:   strcpy(fileresp,"P_");
                   3929:   strcat(fileresp,fileresu);
                   3930:   /*strcat(fileresphtm,fileresu);*/
                   3931:   if((ficresp=fopen(fileresp,"w"))==NULL) {
                   3932:     printf("Problem with prevalence resultfile: %s\n", fileresp);
                   3933:     fprintf(ficlog,"Problem with prevalence resultfile: %s\n", fileresp);
                   3934:     exit(0);
                   3935:   }
1.214     brouard  3936: 
1.226     brouard  3937:   strcpy(fileresphtm,subdirfext(optionfilefiname,"PHTM_",".htm"));
                   3938:   if((ficresphtm=fopen(fileresphtm,"w"))==NULL) {
                   3939:     printf("Problem with prevalence HTM resultfile '%s' with errno='%s'\n",fileresphtm,strerror(errno));
                   3940:     fprintf(ficlog,"Problem with prevalence HTM resultfile '%s' with errno='%s'\n",fileresphtm,strerror(errno));
                   3941:     fflush(ficlog);
                   3942:     exit(70); 
                   3943:   }
                   3944:   else{
                   3945:     fprintf(ficresphtm,"<html><head>\n<title>IMaCh PHTM_ %s</title></head>\n <body><font size=\"2\">%s <br> %s</font> \
1.214     brouard  3946: <hr size=\"2\" color=\"#EC5E5E\"> \n\
                   3947: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s<br>\n",\
1.226     brouard  3948:            fileresphtm,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);
                   3949:   }
                   3950:   fprintf(ficresphtm,"Current page is file <a href=\"%s\">%s</a><br>\n\n<h4>Frequencies and prevalence by age at begin of transition</h4>\n",fileresphtm, fileresphtm);
1.214     brouard  3951:     
1.226     brouard  3952:   strcpy(fileresphtmfr,subdirfext(optionfilefiname,"PHTMFR_",".htm"));
                   3953:   if((ficresphtmfr=fopen(fileresphtmfr,"w"))==NULL) {
                   3954:     printf("Problem with frequency table HTM resultfile '%s' with errno='%s'\n",fileresphtmfr,strerror(errno));
                   3955:     fprintf(ficlog,"Problem with frequency table HTM resultfile '%s' with errno='%s'\n",fileresphtmfr,strerror(errno));
                   3956:     fflush(ficlog);
                   3957:     exit(70); 
                   3958:   }
                   3959:   else{
                   3960:     fprintf(ficresphtmfr,"<html><head>\n<title>IMaCh PHTM_Frequency table %s</title></head>\n <body><font size=\"2\">%s <br> %s</font> \
1.214     brouard  3961: <hr size=\"2\" color=\"#EC5E5E\"> \n\
                   3962: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s<br>\n",\
1.226     brouard  3963:            fileresphtmfr,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);
                   3964:   }
                   3965:   fprintf(ficresphtmfr,"Current page is file <a href=\"%s\">%s</a><br>\n\n<h4>Frequencies of all effective transitions by age at begin of transition </h4>Unknown status is -1<br/>\n",fileresphtmfr, fileresphtmfr);
1.214     brouard  3966: 
1.226     brouard  3967:   freq= ma3x(-5,nlstate+ndeath,-5,nlstate+ndeath,iagemin-AGEMARGE,iagemax+3+AGEMARGE);
                   3968:   j1=0;
1.126     brouard  3969:   
1.227     brouard  3970:   /* j=ncoveff;  /\* Only fixed dummy covariates *\/ */
                   3971:   j=cptcoveff;  /* Only dummy covariates of the model */
1.226     brouard  3972:   if (cptcovn<1) {j=1;ncodemax[1]=1;}
1.220     brouard  3973: 
1.226     brouard  3974:   first=1;
1.220     brouard  3975: 
1.226     brouard  3976:   /* Detects if a combination j1 is empty: for a multinomial variable like 3 education levels:
                   3977:      reference=low_education V1=0,V2=0
                   3978:      med_educ                V1=1 V2=0, 
                   3979:      high_educ               V1=0 V2=1
                   3980:      Then V1=1 and V2=1 is a noisy combination that we want to exclude for the list 2**cptcoveff 
                   3981:   */
1.126     brouard  3982: 
1.227     brouard  3983:   for (j1 = 1; j1 <= (int) pow(2,j); j1++){ /* Loop on covariates combination in order of model, excluding quantitatives V4=0, V3=0 for example, fixed or varying covariates */
1.226     brouard  3984:     posproptt=0.;
                   3985:     /*printf("cptcoveff=%d Tvaraff=%d", cptcoveff,Tvaraff[1]);
                   3986:       scanf("%d", i);*/
                   3987:     for (i=-5; i<=nlstate+ndeath; i++)  
                   3988:       for (jk=-5; jk<=nlstate+ndeath; jk++)  
                   3989:        for(m=iagemin; m <= iagemax+3; m++)
                   3990:          freq[i][jk][m]=0;
                   3991:       
                   3992:     for (i=1; i<=nlstate; i++)  {
                   3993:       for(m=iagemin; m <= iagemax+3; m++)
                   3994:        prop[i][m]=0;
                   3995:       posprop[i]=0;
                   3996:       pospropt[i]=0;
                   3997:     }
1.227     brouard  3998:     /* for (z1=1; z1<= nqfveff; z1++) {   */
                   3999:     /*   meanq[z1]+=0.; */
                   4000:     /*   for(m=1;m<=lastpass;m++){ */
                   4001:     /*         meanqt[m][z1]=0.; */
                   4002:     /*   } */
                   4003:     /* } */
1.220     brouard  4004:       
1.226     brouard  4005:     dateintsum=0;
                   4006:     k2cpt=0;
1.227     brouard  4007:     /* For that combination of covariate j1, we count and print the frequencies in one pass */
1.226     brouard  4008:     for (iind=1; iind<=imx; iind++) { /* For each individual iind */
                   4009:       bool=1;
1.227     brouard  4010:       if(anyvaryingduminmodel==0){ /* If All fixed covariates */
                   4011:        if (cptcoveff >0) { /* Filter is here: Must be looked at for model=V1+V2+V3+V4 */
                   4012:          /* for (z1=1; z1<= nqfveff; z1++) {   */
                   4013:          /*   meanq[z1]+=coqvar[Tvar[z1]][iind];  /\* Computes mean of quantitative with selected filter *\/ */
                   4014:          /* } */
                   4015:          for (z1=1; z1<=cptcoveff; z1++) {  
                   4016:            /* if(Tvaraff[z1] ==-20){ */
                   4017:            /*   /\* sumnew+=cotvar[mw[mi][iind]][z1][iind]; *\/ */
                   4018:            /* }else  if(Tvaraff[z1] ==-10){ */
                   4019:            /*   /\* sumnew+=coqvar[z1][iind]; *\/ */
                   4020:            /* }else  */
                   4021:            if (covar[Tvaraff[z1]][iind]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]){
                   4022:              /* Tests if this individual iind responded to j1 (V4=1 V3=0) */
                   4023:              bool=0;
                   4024:              /* 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", 
                   4025:                 bool,i,z1, z1, Tvaraff[z1],i,covar[Tvaraff[z1]][i],j1,z1,codtabm(j1,z1),
                   4026:                 j1,z1,nbcode[Tvaraff[z1]][codtabm(j1,z1)],j1);*/
                   4027:              /* For j1=7 in V1+V2+V3+V4 = 0 1 1 0 and codtabm(7,3)=1 and nbcde[3][?]=1*/
                   4028:            } /* Onlyf fixed */
                   4029:          } /* end z1 */
                   4030:        } /* cptcovn > 0 */
                   4031:       } /* end any */
                   4032:       if (bool==1){ /* We selected an individual iind satisfying combination j1 or all fixed */
1.226     brouard  4033:        /* for(m=firstpass; m<=lastpass; m++){ */
1.227     brouard  4034:        for(mi=1; mi<wav[iind];mi++){ /* For that wave */
1.226     brouard  4035:          m=mw[mi][iind];
1.227     brouard  4036:          if(anyvaryingduminmodel==1){ /* Some are varying covariates */
                   4037:            for (z1=1; z1<=cptcoveff; z1++) {
                   4038:              if( Fixed[Tmodelind[z1]]==1){
                   4039:                iv= Tvar[Tmodelind[z1]]-ncovcol-nqv;
                   4040:                if (cotvar[m][iv][iind]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]) /* iv=1 to ntv, right modality */
                   4041:                  bool=0;
                   4042:              }else if( Fixed[Tmodelind[z1]]== 0) { /* fixed */
                   4043:                if (covar[Tvaraff[z1]][iind]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]) {
                   4044:                  bool=0;
                   4045:                }
                   4046:              }
                   4047:            }
                   4048:          }/* Some are varying covariates, we tried to speed up if all fixed covariates in the model, avoiding waves loop  */
                   4049:          /* bool =0 we keep that guy which corresponds to the combination of dummy values */
                   4050:          if(bool==1){
                   4051:            /* dh[m][iind] or dh[mw[mi][iind]][iind] is the delay between two effective (mi) waves m=mw[mi][iind]
                   4052:               and mw[mi+1][iind]. dh depends on stepm. */
                   4053:            agebegin=agev[m][iind]; /* Age at beginning of wave before transition*/
                   4054:            ageend=agev[m][iind]+(dh[m][iind])*stepm/YEARM; /* Age at end of wave and transition */
                   4055:            if(m >=firstpass && m <=lastpass){
                   4056:              k2=anint[m][iind]+(mint[m][iind]/12.);
                   4057:              /*if ((k2>=dateprev1) && (k2<=dateprev2)) {*/
                   4058:              if(agev[m][iind]==0) agev[m][iind]=iagemax+1;  /* All ages equal to 0 are in iagemax+1 */
                   4059:              if(agev[m][iind]==1) agev[m][iind]=iagemax+2;  /* All ages equal to 1 are in iagemax+2 */
                   4060:              if (s[m][iind]>0 && s[m][iind]<=nlstate)  /* If status at wave m is known and a live state */
                   4061:                prop[s[m][iind]][(int)agev[m][iind]] += weight[iind];  /* At age of beginning of transition, where status is known */
                   4062:              if (m<lastpass) {
                   4063:                /* if(s[m][iind]==4 && s[m+1][iind]==4) */
                   4064:                /*   printf(" num=%ld m=%d, iind=%d s1=%d s2=%d agev at m=%d\n", num[iind], m, iind,s[m][iind],s[m+1][iind], (int)agev[m][iind]); */
                   4065:                if(s[m][iind]==-1)
                   4066:                  printf(" num=%ld m=%d, iind=%d s1=%d s2=%d agev at m=%d agebegin=%.2f ageend=%.2f, agemed=%d\n", num[iind], m, iind,s[m][iind],s[m+1][iind], (int)agev[m][iind],agebegin, ageend, (int)((agebegin+ageend)/2.));
                   4067:                freq[s[m][iind]][s[m+1][iind]][(int)agev[m][iind]] += weight[iind]; /* At age of beginning of transition, where status is known */
                   4068:                /* freq[s[m][iind]][s[m+1][iind]][(int)((agebegin+ageend)/2.)] += weight[iind]; */
                   4069:                freq[s[m][iind]][s[m+1][iind]][iagemax+3] += weight[iind]; /* Total is in iagemax+3 *//* At age of beginning of transition, where status is known */
                   4070:              }
                   4071:            } /* end if between passes */  
                   4072:            if ((agev[m][iind]>1) && (agev[m][iind]< (iagemax+3)) && (anint[m][iind]!=9999) && (mint[m][iind]!=99)) {
                   4073:              dateintsum=dateintsum+k2;
                   4074:              k2cpt++;
                   4075:              /* printf("iind=%ld dateintmean = %lf dateintsum=%lf k2cpt=%lf k2=%lf\n",iind, dateintsum/k2cpt, dateintsum,k2cpt, k2); */
1.226     brouard  4076:            }
1.227     brouard  4077:          } /* end bool 2 */
1.226     brouard  4078:        } /* end m */
                   4079:       } /* end bool */
                   4080:     } /* end iind = 1 to imx */
                   4081:     /* prop[s][age] is feeded for any initial and valid live state as well as
                   4082:        freq[s1][s2][age] at single age of beginning the transition, for a combination j1 */
                   4083: 
                   4084: 
                   4085:     /*      fprintf(ficresp, "#Count between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);*/
                   4086:     pstamp(ficresp);
1.227     brouard  4087:     /* if  (ncoveff>0) { */
                   4088:     if  (cptcoveff>0) {
1.226     brouard  4089:       fprintf(ficresp, "\n#********** Variable "); 
                   4090:       fprintf(ficresphtm, "\n<br/><br/><h3>********** Variable "); 
                   4091:       fprintf(ficresphtmfr, "\n<br/><br/><h3>********** Variable "); 
1.227     brouard  4092:       for (z1=1; z1<=cptcoveff; z1++){
1.226     brouard  4093:        fprintf(ficresp, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4094:        fprintf(ficresphtm, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4095:        fprintf(ficresphtmfr, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4096:       }
                   4097:       fprintf(ficresp, "**********\n#");
                   4098:       fprintf(ficresphtm, "**********</h3>\n");
                   4099:       fprintf(ficresphtmfr, "**********</h3>\n");
                   4100:       fprintf(ficlog, "\n#********** Variable "); 
1.227     brouard  4101:       for (z1=1; z1<=cptcoveff; z1++) fprintf(ficlog, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.226     brouard  4102:       fprintf(ficlog, "**********\n");
                   4103:     }
                   4104:     fprintf(ficresphtm,"<table style=\"text-align:center; border: 1px solid\">");
                   4105:     for(i=1; i<=nlstate;i++) {
                   4106:       fprintf(ficresp, " Age Prev(%d) N(%d) N",i,i);
                   4107:       fprintf(ficresphtm, "<th>Age</th><th>Prev(%d)</th><th>N(%d)</th><th>N</th>",i,i);
                   4108:     }
                   4109:     fprintf(ficresp, "\n");
                   4110:     fprintf(ficresphtm, "\n");
                   4111:       
                   4112:     /* Header of frequency table by age */
                   4113:     fprintf(ficresphtmfr,"<table style=\"text-align:center; border: 1px solid\">");
                   4114:     fprintf(ficresphtmfr,"<th>Age</th> ");
                   4115:     for(jk=-1; jk <=nlstate+ndeath; jk++){
                   4116:       for(m=-1; m <=nlstate+ndeath; m++){
                   4117:        if(jk!=0 && m!=0)
                   4118:          fprintf(ficresphtmfr,"<th>%d%d</th> ",jk,m);
                   4119:       }
                   4120:     }
                   4121:     fprintf(ficresphtmfr, "\n");
                   4122:       
                   4123:     /* For each age */
                   4124:     for(iage=iagemin; iage <= iagemax+3; iage++){
                   4125:       fprintf(ficresphtm,"<tr>");
                   4126:       if(iage==iagemax+1){
                   4127:        fprintf(ficlog,"1");
                   4128:        fprintf(ficresphtmfr,"<tr><th>0</th> ");
                   4129:       }else if(iage==iagemax+2){
                   4130:        fprintf(ficlog,"0");
                   4131:        fprintf(ficresphtmfr,"<tr><th>Unknown</th> ");
                   4132:       }else if(iage==iagemax+3){
                   4133:        fprintf(ficlog,"Total");
                   4134:        fprintf(ficresphtmfr,"<tr><th>Total</th> ");
                   4135:       }else{
                   4136:        if(first==1){
                   4137:          first=0;
                   4138:          printf("See log file for details...\n");
                   4139:        }
                   4140:        fprintf(ficresphtmfr,"<tr><th>%d</th> ",iage);
                   4141:        fprintf(ficlog,"Age %d", iage);
                   4142:       }
                   4143:       for(jk=1; jk <=nlstate ; jk++){
                   4144:        for(m=-1, pp[jk]=0; m <=nlstate+ndeath ; m++)
                   4145:          pp[jk] += freq[jk][m][iage]; 
                   4146:       }
                   4147:       for(jk=1; jk <=nlstate ; jk++){
                   4148:        for(m=-1, pos=0; m <=0 ; m++)
                   4149:          pos += freq[jk][m][iage];
                   4150:        if(pp[jk]>=1.e-10){
                   4151:          if(first==1){
                   4152:            printf(" %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);
                   4153:          }
                   4154:          fprintf(ficlog," %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);
                   4155:        }else{
                   4156:          if(first==1)
                   4157:            printf(" %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);
                   4158:          fprintf(ficlog," %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);
                   4159:        }
                   4160:       }
                   4161: 
                   4162:       for(jk=1; jk <=nlstate ; jk++){ 
                   4163:        /* posprop[jk]=0; */
                   4164:        for(m=0, pp[jk]=0; m <=nlstate+ndeath; m++)/* Summing on all ages */
                   4165:          pp[jk] += freq[jk][m][iage];
                   4166:       }        /* pp[jk] is the total number of transitions starting from state jk and any ending status until this age */
                   4167: 
                   4168:       for(jk=1,pos=0, pospropta=0.; jk <=nlstate ; jk++){
                   4169:        pos += pp[jk]; /* pos is the total number of transitions until this age */
                   4170:        posprop[jk] += prop[jk][iage]; /* prop is the number of transitions from a live state
                   4171:                                          from jk at age iage prop[s[m][iind]][(int)agev[m][iind]] += weight[iind] */
                   4172:        pospropta += prop[jk][iage]; /* prop is the number of transitions from a live state
                   4173:                                        from jk at age iage prop[s[m][iind]][(int)agev[m][iind]] += weight[iind] */
                   4174:       }
                   4175:       for(jk=1; jk <=nlstate ; jk++){
                   4176:        if(pos>=1.e-5){
                   4177:          if(first==1)
                   4178:            printf(" %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);
                   4179:          fprintf(ficlog," %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);
                   4180:        }else{
                   4181:          if(first==1)
                   4182:            printf(" %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);
                   4183:          fprintf(ficlog," %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);
                   4184:        }
                   4185:        if( iage <= iagemax){
                   4186:          if(pos>=1.e-5){
                   4187:            fprintf(ficresp," %d %.5f %.0f %.0f",iage,prop[jk][iage]/pospropta, prop[jk][iage],pospropta);
                   4188:            fprintf(ficresphtm,"<th>%d</th><td>%.5f</td><td>%.0f</td><td>%.0f</td>",iage,prop[jk][iage]/pospropta, prop[jk][iage],pospropta);
                   4189:            /*probs[iage][jk][j1]= pp[jk]/pos;*/
                   4190:            /*printf("\niage=%d jk=%d j1=%d %.5f %.0f %.0f %f",iage,jk,j1,pp[jk]/pos, pp[jk],pos,probs[iage][jk][j1]);*/
                   4191:          }
                   4192:          else{
                   4193:            fprintf(ficresp," %d NaNq %.0f %.0f",iage,prop[jk][iage],pospropta);
                   4194:            fprintf(ficresphtm,"<th>%d</th><td>NaNq</td><td>%.0f</td><td>%.0f</td>",iage, prop[jk][iage],pospropta);
                   4195:          }
                   4196:        }
                   4197:        pospropt[jk] +=posprop[jk];
                   4198:       } /* end loop jk */
                   4199:       /* pospropt=0.; */
                   4200:       for(jk=-1; jk <=nlstate+ndeath; jk++){
                   4201:        for(m=-1; m <=nlstate+ndeath; m++){
                   4202:          if(freq[jk][m][iage] !=0 ) { /* minimizing output */
                   4203:            if(first==1){
                   4204:              printf(" %d%d=%.0f",jk,m,freq[jk][m][iage]);
                   4205:            }
                   4206:            fprintf(ficlog," %d%d=%.0f",jk,m,freq[jk][m][iage]);
                   4207:          }
                   4208:          if(jk!=0 && m!=0)
                   4209:            fprintf(ficresphtmfr,"<td>%.0f</td> ",freq[jk][m][iage]);
                   4210:        }
                   4211:       } /* end loop jk */
                   4212:       posproptt=0.; 
                   4213:       for(jk=1; jk <=nlstate; jk++){
                   4214:        posproptt += pospropt[jk];
                   4215:       }
                   4216:       fprintf(ficresphtmfr,"</tr>\n ");
                   4217:       if(iage <= iagemax){
                   4218:        fprintf(ficresp,"\n");
                   4219:        fprintf(ficresphtm,"</tr>\n");
                   4220:       }
                   4221:       if(first==1)
                   4222:        printf("Others in log...\n");
                   4223:       fprintf(ficlog,"\n");
                   4224:     } /* end loop age iage */
                   4225:     fprintf(ficresphtm,"<tr><th>Tot</th>");
                   4226:     for(jk=1; jk <=nlstate ; jk++){
                   4227:       if(posproptt < 1.e-5){
                   4228:        fprintf(ficresphtm,"<td>Nanq</td><td>%.0f</td><td>%.0f</td>",pospropt[jk],posproptt);   
                   4229:       }else{
                   4230:        fprintf(ficresphtm,"<td>%.5f</td><td>%.0f</td><td>%.0f</td>",pospropt[jk]/posproptt,pospropt[jk],posproptt);    
                   4231:       }
                   4232:     }
                   4233:     fprintf(ficresphtm,"</tr>\n");
                   4234:     fprintf(ficresphtm,"</table>\n");
                   4235:     fprintf(ficresphtmfr,"</table>\n");
                   4236:     if(posproptt < 1.e-5){
                   4237:       fprintf(ficresphtm,"\n <p><b> This combination (%d) is not valid and no result will be produced</b></p>",j1);
                   4238:       fprintf(ficresphtmfr,"\n <p><b> This combination (%d) is not valid and no result will be produced</b></p>",j1);
                   4239:       fprintf(ficres,"\n  This combination (%d) is not valid and no result will be produced\n\n",j1);
                   4240:       invalidvarcomb[j1]=1;
                   4241:     }else{
                   4242:       fprintf(ficresphtm,"\n <p> This combination (%d) is valid and result will be produced.</p>",j1);
                   4243:       invalidvarcomb[j1]=0;
                   4244:     }
                   4245:     fprintf(ficresphtmfr,"</table>\n");
                   4246:   } /* end selected combination of covariate j1 */
                   4247:   dateintmean=dateintsum/k2cpt; 
1.220     brouard  4248:                 
1.226     brouard  4249:   fclose(ficresp);
                   4250:   fclose(ficresphtm);
                   4251:   fclose(ficresphtmfr);
                   4252:   free_vector(meanq,1,nqfveff);
                   4253:   free_matrix(meanqt,1,lastpass,1,nqtveff);
                   4254:   free_ma3x(freq,-5,nlstate+ndeath,-5,nlstate+ndeath, iagemin-AGEMARGE, iagemax+3+AGEMARGE);
                   4255:   free_vector(pospropt,1,nlstate);
                   4256:   free_vector(posprop,1,nlstate);
                   4257:   free_matrix(prop,1,nlstate,iagemin-AGEMARGE, iagemax+3+AGEMARGE);
                   4258:   free_vector(pp,1,nlstate);
                   4259:   /* End of freqsummary */
                   4260: }
1.126     brouard  4261: 
                   4262: /************ Prevalence ********************/
1.227     brouard  4263: 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)
                   4264: {  
                   4265:   /* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people
                   4266:      in each health status at the date of interview (if between dateprev1 and dateprev2).
                   4267:      We still use firstpass and lastpass as another selection.
                   4268:   */
1.126     brouard  4269:  
1.227     brouard  4270:   int i, m, jk, j1, bool, z1,j, iv;
                   4271:   int mi; /* Effective wave */
                   4272:   int iage;
                   4273:   double agebegin, ageend;
                   4274: 
                   4275:   double **prop;
                   4276:   double posprop; 
                   4277:   double  y2; /* in fractional years */
                   4278:   int iagemin, iagemax;
                   4279:   int first; /** to stop verbosity which is redirected to log file */
                   4280: 
                   4281:   iagemin= (int) agemin;
                   4282:   iagemax= (int) agemax;
                   4283:   /*pp=vector(1,nlstate);*/
                   4284:   prop=matrix(1,nlstate,iagemin-AGEMARGE,iagemax+3+AGEMARGE); 
                   4285:   /*  freq=ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,iagemin,iagemax+3);*/
                   4286:   j1=0;
1.222     brouard  4287:   
1.227     brouard  4288:   /*j=cptcoveff;*/
                   4289:   if (cptcovn<1) {j=1;ncodemax[1]=1;}
1.222     brouard  4290:   
1.227     brouard  4291:   first=1;
                   4292:   for(j1=1; j1<= (int) pow(2,cptcoveff);j1++){ /* For each combination of covariate */
                   4293:     for (i=1; i<=nlstate; i++)  
                   4294:       for(iage=iagemin-AGEMARGE; iage <= iagemax+3+AGEMARGE; iage++)
                   4295:        prop[i][iage]=0.0;
                   4296:     printf("Prevalence combination of varying and fixed dummies %d\n",j1);
                   4297:     /* fprintf(ficlog," V%d=%d ",Tvaraff[j1],nbcode[Tvaraff[j1]][codtabm(k,j1)]); */
                   4298:     fprintf(ficlog,"Prevalence combination of varying and fixed dummies %d\n",j1);
                   4299:     
                   4300:     for (i=1; i<=imx; i++) { /* Each individual */
                   4301:       bool=1;
                   4302:       /* for(m=firstpass; m<=lastpass; m++){/\* Other selection (we can limit to certain interviews*\/ */
                   4303:       for(mi=1; mi<wav[i];mi++){ /* For this wave too look where individual can be counted V4=0 V3=0 */
                   4304:        m=mw[mi][i];
                   4305:        /* Tmodelind[z1]=k is the position of the varying covariate in the model, but which # within 1 to ntv? */
                   4306:        /* Tvar[Tmodelind[z1]] is the n of Vn; n-ncovcol-nqv is the first time varying covariate or iv */
                   4307:        for (z1=1; z1<=cptcoveff; z1++){
                   4308:          if( Fixed[Tmodelind[z1]]==1){
                   4309:            iv= Tvar[Tmodelind[z1]]-ncovcol-nqv;
                   4310:            if (cotvar[m][iv][i]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]) /* iv=1 to ntv, right modality */
                   4311:              bool=0;
                   4312:          }else if( Fixed[Tmodelind[z1]]== 0)  /* fixed */
                   4313:            if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]) {
                   4314:              bool=0;
                   4315:            }
                   4316:        }
                   4317:        if(bool==1){ /* Otherwise we skip that wave/person */
                   4318:          agebegin=agev[m][i]; /* Age at beginning of wave before transition*/
                   4319:          /* ageend=agev[m][i]+(dh[m][i])*stepm/YEARM; /\* Age at end of wave and transition *\/ */
                   4320:          if(m >=firstpass && m <=lastpass){
                   4321:            y2=anint[m][i]+(mint[m][i]/12.); /* Fractional date in year */
                   4322:            if ((y2>=dateprev1) && (y2<=dateprev2)) { /* Here is the main selection (fractional years) */
                   4323:              if(agev[m][i]==0) agev[m][i]=iagemax+1;
                   4324:              if(agev[m][i]==1) agev[m][i]=iagemax+2;
                   4325:              if((int)agev[m][i] <iagemin-AGEMARGE || (int)agev[m][i] >iagemax+3+AGEMARGE){
                   4326:                printf("Error on individual # %d agev[m][i]=%f <%d-%d or > %d+3+%d  m=%d; either change agemin or agemax or fix data\n",i, agev[m][i],iagemin,AGEMARGE, iagemax,AGEMARGE,m); 
                   4327:                exit(1);
                   4328:              }
                   4329:              if (s[m][i]>0 && s[m][i]<=nlstate) { 
                   4330:                /*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]]);*/
                   4331:                prop[s[m][i]][(int)agev[m][i]] += weight[i];/* At age of beginning of transition, where status is known */
                   4332:                prop[s[m][i]][iagemax+3] += weight[i]; 
                   4333:              } /* end valid statuses */ 
                   4334:            } /* end selection of dates */
                   4335:          } /* end selection of waves */
                   4336:        } /* end bool */
                   4337:       } /* end wave */
                   4338:     } /* end individual */
                   4339:     for(i=iagemin; i <= iagemax+3; i++){  
                   4340:       for(jk=1,posprop=0; jk <=nlstate ; jk++) { 
                   4341:        posprop += prop[jk][i]; 
                   4342:       } 
                   4343:       
                   4344:       for(jk=1; jk <=nlstate ; jk++){      
                   4345:        if( i <=  iagemax){ 
                   4346:          if(posprop>=1.e-5){ 
                   4347:            probs[i][jk][j1]= prop[jk][i]/posprop;
                   4348:          } else{
                   4349:            if(first==1){
                   4350:              first=0;
                   4351:              printf("Warning Observed prevalence probs[%d][%d][%d]=%lf because of lack of cases\nSee others in log file...\n",jk,i,j1,probs[i][jk][j1]);
                   4352:            }
                   4353:          }
                   4354:        } 
                   4355:       }/* end jk */ 
                   4356:     }/* end i */ 
1.222     brouard  4357:      /*} *//* end i1 */
1.227     brouard  4358:   } /* end j1 */
1.222     brouard  4359:   
1.227     brouard  4360:   /*  free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath, iagemin, iagemax+3);*/
                   4361:   /*free_vector(pp,1,nlstate);*/
                   4362:   free_matrix(prop,1,nlstate, iagemin-AGEMARGE,iagemax+3+AGEMARGE);
                   4363: }  /* End of prevalence */
1.126     brouard  4364: 
                   4365: /************* Waves Concatenation ***************/
                   4366: 
                   4367: 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)
                   4368: {
                   4369:   /* Concatenates waves: wav[i] is the number of effective (useful waves) of individual i.
                   4370:      Death is a valid wave (if date is known).
                   4371:      mw[mi][i] is the mi (mi=1 to wav[i])  effective wave of individual i
                   4372:      dh[m][i] or dh[mw[mi][i]][i] is the delay between two effective waves m=mw[mi][i]
                   4373:      and mw[mi+1][i]. dh depends on stepm.
1.227     brouard  4374:   */
1.126     brouard  4375: 
1.224     brouard  4376:   int i=0, mi=0, m=0, mli=0;
1.126     brouard  4377:   /* int j, k=0,jk, ju, jl,jmin=1e+5, jmax=-1;
                   4378:      double sum=0., jmean=0.;*/
1.224     brouard  4379:   int first=0, firstwo=0, firsthree=0, firstfour=0, firstfiv=0;
1.126     brouard  4380:   int j, k=0,jk, ju, jl;
                   4381:   double sum=0.;
                   4382:   first=0;
1.214     brouard  4383:   firstwo=0;
1.217     brouard  4384:   firsthree=0;
1.218     brouard  4385:   firstfour=0;
1.164     brouard  4386:   jmin=100000;
1.126     brouard  4387:   jmax=-1;
                   4388:   jmean=0.;
1.224     brouard  4389: 
                   4390: /* Treating live states */
1.214     brouard  4391:   for(i=1; i<=imx; i++){  /* For simple cases and if state is death */
1.224     brouard  4392:     mi=0;  /* First valid wave */
1.227     brouard  4393:     mli=0; /* Last valid wave */
1.126     brouard  4394:     m=firstpass;
1.214     brouard  4395:     while(s[m][i] <= nlstate){  /* a live state */
1.227     brouard  4396:       if(m >firstpass && s[m][i]==s[m-1][i] && mint[m][i]==mint[m-1][i] && anint[m][i]==anint[m-1][i]){/* Two succesive identical information on wave m */
                   4397:        mli=m-1;/* mw[++mi][i]=m-1; */
                   4398:       }else if(s[m][i]>=1 || s[m][i]==-4 || s[m][i]==-5){ /* Since 0.98r4 if status=-2 vital status is really unknown, wave should be skipped */
                   4399:        mw[++mi][i]=m;
                   4400:        mli=m;
1.224     brouard  4401:       } /* else might be a useless wave  -1 and mi is not incremented and mw[mi] not updated */
                   4402:       if(m < lastpass){ /* m < lastpass, standard case */
1.227     brouard  4403:        m++; /* mi gives the "effective" current wave, m the current wave, go to next wave by incrementing m */
1.216     brouard  4404:       }
1.227     brouard  4405:       else{ /* m >= lastpass, eventual special issue with warning */
1.224     brouard  4406: #ifdef UNKNOWNSTATUSNOTCONTRIBUTING
1.227     brouard  4407:        break;
1.224     brouard  4408: #else
1.227     brouard  4409:        if(s[m][i]==-1 && (int) andc[i] == 9999 && (int)anint[m][i] != 9999){
                   4410:          if(firsthree == 0){
                   4411:            printf("Information! Unknown status for individual %ld line=%d occurred at last wave %d at known date %d/%d. Please, check if your unknown date of death %d/%d means a live state %d at wave %d. This case(%d)/wave(%d) contributes to the likelihood as pi. .\nOthers in log file only\n",num[i],i,lastpass,(int)mint[m][i],(int)anint[m][i], (int) moisdc[i], (int) andc[i], s[m][i], m, i, m);
                   4412:            firsthree=1;
                   4413:          }
                   4414:          fprintf(ficlog,"Information! Unknown status for individual %ld line=%d occurred at last wave %d at known date %d/%d. Please, check if your unknown date of death %d/%d means a live state %d at wave %d. This case(%d)/wave(%d) contributes to the likelihood as pi. .\n",num[i],i,lastpass,(int)mint[m][i],(int)anint[m][i], (int) moisdc[i], (int) andc[i], s[m][i], m, i, m);
                   4415:          mw[++mi][i]=m;
                   4416:          mli=m;
                   4417:        }
                   4418:        if(s[m][i]==-2){ /* Vital status is really unknown */
                   4419:          nbwarn++;
                   4420:          if((int)anint[m][i] == 9999){  /*  Has the vital status really been verified? */
                   4421:            printf("Warning! Vital status for individual %ld (line=%d) at last wave %d interviewed at date %d/%d is unknown %d. Please, check if the vital status and the date of death %d/%d are really unknown. This case (%d)/wave (%d) is skipped, no contribution to likelihood.\nOthers in log file only\n",num[i],i,lastpass,(int)mint[m][i],(int)anint[m][i], s[m][i], (int) moisdc[i], (int) andc[i], i, m);
                   4422:            fprintf(ficlog,"Warning! Vital status for individual %ld (line=%d) at last wave %d interviewed at date %d/%d is unknown %d. Please, check if the vital status and the date of death %d/%d are really unknown. This case (%d)/wave (%d) is skipped, no contribution to likelihood.\n",num[i],i,lastpass,(int)mint[m][i],(int)anint[m][i], s[m][i], (int) moisdc[i], (int) andc[i], i, m);
                   4423:          }
                   4424:          break;
                   4425:        }
                   4426:        break;
1.224     brouard  4427: #endif
1.227     brouard  4428:       }/* End m >= lastpass */
1.126     brouard  4429:     }/* end while */
1.224     brouard  4430: 
1.227     brouard  4431:     /* mi is the last effective wave, m is lastpass, mw[j][i] gives the # of j-th effective wave for individual i */
1.216     brouard  4432:     /* After last pass */
1.224     brouard  4433: /* Treating death states */
1.214     brouard  4434:     if (s[m][i] > nlstate){  /* In a death state */
1.227     brouard  4435:       /* if( mint[m][i]==mdc[m][i] && anint[m][i]==andc[m][i]){ /\* same date of death and date of interview *\/ */
                   4436:       /* } */
1.126     brouard  4437:       mi++;    /* Death is another wave */
                   4438:       /* if(mi==0)  never been interviewed correctly before death */
1.227     brouard  4439:       /* Only death is a correct wave */
1.126     brouard  4440:       mw[mi][i]=m;
1.224     brouard  4441:     }
                   4442: #ifndef DISPATCHINGKNOWNDEATHAFTERLASTWAVE
1.227     brouard  4443:     else if ((int) andc[i] != 9999) { /* Status is negative. A death occured after lastpass, we can't take it into account because of potential bias */
1.216     brouard  4444:       /* m++; */
                   4445:       /* mi++; */
                   4446:       /* s[m][i]=nlstate+1;  /\* We are setting the status to the last of non live state *\/ */
                   4447:       /* mw[mi][i]=m; */
1.218     brouard  4448:       if ((int)anint[m][i]!= 9999) { /* date of last interview is known */
1.227     brouard  4449:        if((andc[i]+moisdc[i]/12.) <=(anint[m][i]+mint[m][i]/12.)){ /* death occured before last wave and status should have been death instead of -1 */
                   4450:          nbwarn++;
                   4451:          if(firstfiv==0){
                   4452:            printf("Warning! Death for individual %ld line=%d occurred at %d/%d before last wave %d interviewed at %d/%d and should have been coded as death instead of '%d'. This case (%d)/wave (%d) is contributing to likelihood.\nOthers in log file only\n",num[i],i,(int) moisdc[i], (int) andc[i], lastpass,(int)mint[m][i],(int)anint[m][i], s[m][i], i,m );
                   4453:            firstfiv=1;
                   4454:          }else{
                   4455:            fprintf(ficlog,"Warning! Death for individual %ld line=%d occurred at %d/%d before last wave %d interviewed at %d/%d and should have been coded as death instead of '%d'. This case (%d)/wave (%d) is contributing to likelihood.\n",num[i],i,(int) moisdc[i], (int) andc[i], lastpass,(int)mint[m][i],(int)anint[m][i], s[m][i], i,m );
                   4456:          }
                   4457:        }else{ /* Death occured afer last wave potential bias */
                   4458:          nberr++;
                   4459:          if(firstwo==0){
                   4460:            printf("Error! Death for individual %ld line=%d occurred at %d/%d after last wave %d interviewed at %d/%d. Potential bias if other individuals are still alive at this date but ignored. This case (%d)/wave (%d) is skipped, no contribution to likelihood.\nOthers in log file only\n",num[i],i,(int) moisdc[i], (int) andc[i], lastpass,(int)mint[m][i],(int)anint[m][i], i,m );
                   4461:            firstwo=1;
                   4462:          }
                   4463:          fprintf(ficlog,"Error! Death for individual %ld line=%d occurred at %d/%d after last wave %d interviewed at %d/%d. Potential bias if other individuals are still alive at this date but ignored. This case (%d)/wave (%d) is skipped, no contribution to likelihood.\n",num[i],i,(int) moisdc[i], (int) andc[i], lastpass,(int)mint[m][i],(int)anint[m][i], i,m );
                   4464:        }
1.218     brouard  4465:       }else{ /* end date of interview is known */
1.227     brouard  4466:        /* death is known but not confirmed by death status at any wave */
                   4467:        if(firstfour==0){
                   4468:          printf("Error! Death for individual %ld line=%d  occurred %d/%d but not confirmed by any death status for any wave, including last wave %d at unknown date %d/%d. Potential bias if other individuals are still alive at this date but ignored. This case (%d)/wave (%d) is skipped, no contribution to likelihood.\nOthers in log file only\n",num[i],i,(int) moisdc[i], (int) andc[i], lastpass,(int)mint[m][i],(int)anint[m][i], i,m );
                   4469:          firstfour=1;
                   4470:        }
                   4471:        fprintf(ficlog,"Error! Death for individual %ld line=%d  occurred %d/%d but not confirmed by any death status for any wave, including last wave %d at unknown date %d/%d. Potential bias if other individuals are still alive at this date but ignored. This case (%d)/wave (%d) is skipped, no contribution to likelihood.\n",num[i],i,(int) moisdc[i], (int) andc[i], lastpass,(int)mint[m][i],(int)anint[m][i], i,m );
1.214     brouard  4472:       }
1.224     brouard  4473:     } /* end if date of death is known */
                   4474: #endif
                   4475:     wav[i]=mi; /* mi should be the last effective wave (or mli) */
                   4476:     /* wav[i]=mw[mi][i]; */
1.126     brouard  4477:     if(mi==0){
                   4478:       nbwarn++;
                   4479:       if(first==0){
1.227     brouard  4480:        printf("Warning! No valid information for individual %ld line=%d (skipped) and may be others, see log file\n",num[i],i);
                   4481:        first=1;
1.126     brouard  4482:       }
                   4483:       if(first==1){
1.227     brouard  4484:        fprintf(ficlog,"Warning! No valid information for individual %ld line=%d (skipped)\n",num[i],i);
1.126     brouard  4485:       }
                   4486:     } /* end mi==0 */
                   4487:   } /* End individuals */
1.214     brouard  4488:   /* wav and mw are no more changed */
1.223     brouard  4489:        
1.214     brouard  4490:   
1.126     brouard  4491:   for(i=1; i<=imx; i++){
                   4492:     for(mi=1; mi<wav[i];mi++){
                   4493:       if (stepm <=0)
1.227     brouard  4494:        dh[mi][i]=1;
1.126     brouard  4495:       else{
1.227     brouard  4496:        if (s[mw[mi+1][i]][i] > nlstate) { /* A death */
                   4497:          if (agedc[i] < 2*AGESUP) {
                   4498:            j= rint(agedc[i]*12-agev[mw[mi][i]][i]*12); 
                   4499:            if(j==0) j=1;  /* Survives at least one month after exam */
                   4500:            else if(j<0){
                   4501:              nberr++;
                   4502:              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]);
                   4503:              j=1; /* Temporary Dangerous patch */
                   4504:              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);
                   4505:              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]);
                   4506:              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);
                   4507:            }
                   4508:            k=k+1;
                   4509:            if (j >= jmax){
                   4510:              jmax=j;
                   4511:              ijmax=i;
                   4512:            }
                   4513:            if (j <= jmin){
                   4514:              jmin=j;
                   4515:              ijmin=i;
                   4516:            }
                   4517:            sum=sum+j;
                   4518:            /*if (j<0) printf("j=%d num=%d \n",j,i);*/
                   4519:            /*    printf("%d %d %d %d\n", s[mw[mi][i]][i] ,s[mw[mi+1][i]][i],j,i);*/
                   4520:          }
                   4521:        }
                   4522:        else{
                   4523:          j= rint( (agev[mw[mi+1][i]][i]*12 - agev[mw[mi][i]][i]*12));
1.126     brouard  4524: /*       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]); */
1.223     brouard  4525:                                        
1.227     brouard  4526:          k=k+1;
                   4527:          if (j >= jmax) {
                   4528:            jmax=j;
                   4529:            ijmax=i;
                   4530:          }
                   4531:          else if (j <= jmin){
                   4532:            jmin=j;
                   4533:            ijmin=i;
                   4534:          }
                   4535:          /*        if (j<10) printf("j=%d jmin=%d num=%d ",j,jmin,i); */
                   4536:          /*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]);*/
                   4537:          if(j<0){
                   4538:            nberr++;
                   4539:            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]);
                   4540:            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]);
                   4541:          }
                   4542:          sum=sum+j;
                   4543:        }
                   4544:        jk= j/stepm;
                   4545:        jl= j -jk*stepm;
                   4546:        ju= j -(jk+1)*stepm;
                   4547:        if(mle <=1){ /* only if we use a the linear-interpoloation pseudo-likelihood */
                   4548:          if(jl==0){
                   4549:            dh[mi][i]=jk;
                   4550:            bh[mi][i]=0;
                   4551:          }else{ /* We want a negative bias in order to only have interpolation ie
                   4552:                  * to avoid the price of an extra matrix product in likelihood */
                   4553:            dh[mi][i]=jk+1;
                   4554:            bh[mi][i]=ju;
                   4555:          }
                   4556:        }else{
                   4557:          if(jl <= -ju){
                   4558:            dh[mi][i]=jk;
                   4559:            bh[mi][i]=jl;       /* bias is positive if real duration
                   4560:                                 * is higher than the multiple of stepm and negative otherwise.
                   4561:                                 */
                   4562:          }
                   4563:          else{
                   4564:            dh[mi][i]=jk+1;
                   4565:            bh[mi][i]=ju;
                   4566:          }
                   4567:          if(dh[mi][i]==0){
                   4568:            dh[mi][i]=1; /* At least one step */
                   4569:            bh[mi][i]=ju; /* At least one step */
                   4570:            /*  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);*/
                   4571:          }
                   4572:        } /* end if mle */
1.126     brouard  4573:       }
                   4574:     } /* end wave */
                   4575:   }
                   4576:   jmean=sum/k;
                   4577:   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  4578:   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);
1.227     brouard  4579: }
1.126     brouard  4580: 
                   4581: /*********** Tricode ****************************/
1.220     brouard  4582:  void tricode(int *cptcov, int *Tvar, int **nbcode, int imx, int *Ndum)
1.126     brouard  4583: {
1.144     brouard  4584:   /**< Uses cptcovn+2*cptcovprod as the number of covariates */
                   4585:   /*     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  4586:    * Boring subroutine which should only output nbcode[Tvar[j]][k]
1.224     brouard  4587:    * Tvar[5] in V2+V1+V3*age+V2*V4 is 4 (V4) even it is a time varying or quantitative variable
                   4588:    * nbcode[Tvar[5]][1]= nbcode[4][1]=0, nbcode[4][2]=1 (usually);
1.144     brouard  4589:   */
1.130     brouard  4590: 
1.145     brouard  4591:   int ij=1, k=0, j=0, i=0, maxncov=NCOVMAX;
1.136     brouard  4592:   int modmaxcovj=0; /* Modality max of covariates j */
1.145     brouard  4593:   int cptcode=0; /* Modality max of covariates j */
                   4594:   int modmincovj=0; /* Modality min of covariates j */
                   4595: 
                   4596: 
1.220     brouard  4597:   /* cptcoveff=0;  */
1.224     brouard  4598:        /* *cptcov=0; */
1.126     brouard  4599:  
1.144     brouard  4600:   for (k=1; k <= maxncov; k++) ncodemax[k]=0; /* Horrible constant again replaced by NCOVMAX */
1.126     brouard  4601: 
1.224     brouard  4602:   /* Loop on covariates without age and products and no quantitative variable */
                   4603:   /* for (j=1; j<=(cptcovs); j++) { /\* From model V1 + V2*age+ V3 + V3*V4 keeps V1 + V3 = 2 only *\/ */
1.227     brouard  4604:   for (k=1; k<=cptcovt; k++) { /* From model V1 + V2*age + V3 + V3*V4 keeps V1 + V3 = 2 only */
                   4605:     for (j=-1; (j < maxncov); j++) Ndum[j]=0;
                   4606:     if(Dummy[k]==0 && Typevar[k] !=1){ /* Dummy covariate and not age product */ 
                   4607:       switch(Fixed[k]) {
                   4608:       case 0: /* Testing on fixed dummy covariate, simple or product of fixed */
                   4609:        for (i=1; i<=imx; i++) { /* Loop on individuals: reads the data file to get the maximum value of the  modality of this covariate Vj*/
                   4610:          ij=(int)(covar[Tvar[k]][i]);
                   4611:          /* ij=0 or 1 or -1. Value of the covariate Tvar[j] for individual i
                   4612:           * If product of Vn*Vm, still boolean *:
                   4613:           * If it was coded 1, 2, 3, 4 should be splitted into 3 boolean variables
                   4614:           * 1 => 0 0 0, 2 => 0 0 1, 3 => 0 1 1, 4=1 0 0   */
                   4615:          /* Finds for covariate j, n=Tvar[j] of Vn . ij is the
                   4616:             modality of the nth covariate of individual i. */
                   4617:          if (ij > modmaxcovj)
                   4618:            modmaxcovj=ij; 
                   4619:          else if (ij < modmincovj) 
                   4620:            modmincovj=ij; 
                   4621:          if ((ij < -1) && (ij > NCOVMAX)){
                   4622:            printf( "Error: minimal is less than -1 or maximal is bigger than %d. Exiting. \n", NCOVMAX );
                   4623:            exit(1);
                   4624:          }else
                   4625:            Ndum[ij]++; /*counts and stores the occurence of this modality 0, 1, -1*/
                   4626:          /*  If coded 1, 2, 3 , counts the number of 1 Ndum[1], number of 2, Ndum[2], etc */
                   4627:          /*printf("i=%d ij=%d Ndum[ij]=%d imx=%d",i,ij,Ndum[ij],imx);*/
                   4628:          /* getting the maximum value of the modality of the covariate
                   4629:             (should be 0 or 1 now) Tvar[j]. If V=sex and male is coded 0 and
                   4630:             female ies 1, then modmaxcovj=1.
                   4631:          */
                   4632:        } /* end for loop on individuals i */
                   4633:        printf(" Minimal and maximal values of %d th covariate V%d: min=%d max=%d \n", k, Tvar[k], modmincovj, modmaxcovj);
                   4634:        fprintf(ficlog," Minimal and maximal values of %d th covariate V%d: min=%d max=%d \n", k, Tvar[k], modmincovj, modmaxcovj);
                   4635:        cptcode=modmaxcovj;
                   4636:        /* Ndum[0] = frequency of 0 for model-covariate j, Ndum[1] frequency of 1 etc. */
                   4637:        /*for (i=0; i<=cptcode; i++) {*/
                   4638:        for (j=modmincovj;  j<=modmaxcovj; j++) { /* j=-1 ? 0 and 1*//* For each value j of the modality of model-cov k */
                   4639:          printf("Frequencies of covariates %d ie V%d with value %d: %d\n", k, Tvar[k], j, Ndum[j]);
                   4640:          fprintf(ficlog, "Frequencies of covariates %d ie V%d with value %d: %d\n", k, Tvar[k], j, Ndum[j]);
                   4641:          if( Ndum[j] != 0 ){ /* Counts if nobody answered modality j ie empty modality, we skip it and reorder */
                   4642:            if( j != -1){
                   4643:              ncodemax[k]++;  /* ncodemax[k]= Number of modalities of the k th
                   4644:                                 covariate for which somebody answered excluding 
                   4645:                                 undefined. Usually 2: 0 and 1. */
                   4646:            }
                   4647:            ncodemaxwundef[k]++; /* ncodemax[j]= Number of modalities of the k th
                   4648:                                    covariate for which somebody answered including 
                   4649:                                    undefined. Usually 3: -1, 0 and 1. */
                   4650:          }
                   4651:          /* In fact  ncodemax[k]=2 (dichotom. variables only) but it could be more for
                   4652:           * historical reasons: 3 if coded 1, 2, 3 and 4 and Ndum[2]=0 */
                   4653:        } /* Ndum[-1] number of undefined modalities */
                   4654:        
                   4655:        /* j is a covariate, n=Tvar[j] of Vn; Fills nbcode */
                   4656:        /* For covariate j, modalities could be 1, 2, 3, 4, 5, 6, 7. 
                   4657:           If Ndum[1]=0, Ndum[2]=0, Ndum[3]= 635, Ndum[4]=0, Ndum[5]=0, Ndum[6]=27, Ndum[7]=125;
                   4658:           modmincovj=3; modmaxcovj = 7;
                   4659:           There are only 3 modalities non empty 3, 6, 7 (or 2 if 27 is too few) : ncodemax[j]=3;
                   4660:           which will be coded 0, 1, 2 which in binary on 2=3-1 digits are 0=00 1=01, 2=10;
                   4661:           defining two dummy variables: variables V1_1 and V1_2.
                   4662:           nbcode[Tvar[j]][ij]=k;
                   4663:           nbcode[Tvar[j]][1]=0;
                   4664:           nbcode[Tvar[j]][2]=1;
                   4665:           nbcode[Tvar[j]][3]=2;
                   4666:           To be continued (not working yet).
                   4667:        */
                   4668:        ij=0; /* ij is similar to i but can jump over null modalities */
                   4669:        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*/
                   4670:          if (Ndum[i] == 0) { /* If nobody responded to this modality k */
                   4671:            break;
                   4672:          }
                   4673:          ij++;
                   4674:          nbcode[Tvar[k]][ij]=i;  /* stores the original value of modality i in an array nbcode, ij modality from 1 to last non-nul modality. nbcode[1][1]=0 nbcode[1][2]=1*/
                   4675:          cptcode = ij; /* New max modality for covar j */
                   4676:        } /* end of loop on modality i=-1 to 1 or more */
                   4677:        break;
                   4678:       case 1: /* Testing on varying covariate, could be simple and
                   4679:               * should look at waves or product of fixed *
                   4680:               * varying. No time to test -1, assuming 0 and 1 only */
                   4681:        ij=0;
                   4682:        for(i=0; i<=1;i++){
                   4683:          nbcode[Tvar[k]][++ij]=i;
                   4684:        }
1.225     brouard  4685:        break;
1.227     brouard  4686:       default:
1.225     brouard  4687:        break;
1.227     brouard  4688:       } /* end switch */
                   4689:     } /* end dummy test */
1.225     brouard  4690:     
1.192     brouard  4691:     /*   for (k=0; k<= cptcode; k++) { /\* k=-1 ? k=0 to 1 *\//\* Could be 1 to 4 *\//\* cptcode=modmaxcovj *\/ */
                   4692:     /*         /\*recode from 0 *\/ */
                   4693:     /*                                      k is a modality. If we have model=V1+V1*sex  */
                   4694:     /*                                      then: nbcode[1][1]=0 ; nbcode[1][2]=1; nbcode[2][1]=0 ; nbcode[2][2]=1; */
                   4695:     /*                                   But if some modality were not used, it is recoded from 0 to a newer modmaxcovj=cptcode *\/ */
                   4696:     /*         } */
                   4697:     /*         /\* cptcode = ij; *\/ /\* New max modality for covar j *\/ */
                   4698:     /*         if (ij > ncodemax[j]) { */
                   4699:     /*           printf( " Error ij=%d > ncodemax[%d]=%d\n", ij, j, ncodemax[j]);  */
                   4700:     /*           fprintf(ficlog, " Error ij=%d > ncodemax[%d]=%d\n", ij, j, ncodemax[j]); */
                   4701:     /*           break; */
                   4702:     /*         } */
                   4703:     /*   }  /\* end of loop on modality k *\/ */
1.137     brouard  4704:   } /* end of loop on model-covariate j. nbcode[Tvarj][1]=0 and nbcode[Tvarj][2]=1 sets the value of covariate j*/  
                   4705:   
1.225     brouard  4706:   for (k=-1; k< maxncov; k++) Ndum[k]=0; 
1.227     brouard  4707:   /* Look at fixed dummy (single or product) covariates to check empty modalities */
1.187     brouard  4708:   for (i=1; i<=ncovmodel-2-nagesqr; i++) { /* -2, cste and age and eventually age*age */ 
1.225     brouard  4709:     /* Listing of all covariables in statement model to see if some covariates appear twice. For example, V1 appears twice in V1+V1*V2.*/ 
1.227     brouard  4710:     ij=Tvar[i]; /* Tvar 5,4,3,6,5,7,1,4 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V4*age */ 
                   4711:     Ndum[ij]++; /* Count the # of 1, 2 etc: {1,1,1,2,2,1,1} because V1 once, V2 once, two V4 and V5 in above */
                   4712:     /* V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1,  {2, 1, 1, 1, 2, 1, 1, 0, 0} */
1.225     brouard  4713:   } /* V4+V3+V5, Ndum[1]@5={0, 0, 1, 1, 1} */
                   4714:   
                   4715:   ij=0;
1.227     brouard  4716:   /* for (i=0; i<=  maxncov-1; i++) { /\* modmaxcovj is unknown here. Only Ndum[2(V2),3(age*V3), 5(V3*V2) 6(V1*V4) *\/ */
                   4717:   for (k=1; k<=  cptcovt; k++) { /* modmaxcovj is unknown here. Only Ndum[2(V2),3(age*V3), 5(V3*V2) 6(V1*V4) */
1.225     brouard  4718:     /*printf("Ndum[%d]=%d\n",i, Ndum[i]);*/
1.227     brouard  4719:     /* if((Ndum[i]!=0) && (i<=ncovcol)){  /\* Tvar[i] <= ncovmodel ? *\/ */
                   4720:     if(Ndum[Tvar[k]]!=0 && Dummy[k] == 0 && Typevar[k]==0){  /* Only Dummy and non empty in the model */
                   4721:       /* If product not in single variable we don't print results */
1.225     brouard  4722:       /*printf("diff Ndum[%d]=%d\n",i, Ndum[i]);*/
1.227     brouard  4723:       ++ij;
                   4724:       Tvaraff[ij]=Tvar[k]; /*For printing */
                   4725:       Tmodelind[ij]=k;
1.228     brouard  4726:       TmodelInvind[k]=Tvar[k]- ncovcol-nqv;
1.227     brouard  4727:       if(Fixed[k]!=0)
                   4728:         anyvaryingduminmodel=1;
                   4729:     /* }else if((Ndum[i]!=0) && (i<=ncovcol+nqv)){ */
                   4730:     /*   Tvaraff[++ij]=-10; /\* Dont'n know how to treat quantitative variables yet *\/ */
                   4731:     /* }else if((Ndum[i]!=0) && (i<=ncovcol+nqv+ntv)){ */
                   4732:     /*   Tvaraff[++ij]=i; /\*For printing (unclear) *\/ */
                   4733:     /* }else if((Ndum[i]!=0) && (i<=ncovcol+nqv+ntv+nqtv)){ */
                   4734:     /*   Tvaraff[++ij]=-20; /\* Dont'n know how to treat quantitative variables yet *\/ */
                   4735:     } 
1.225     brouard  4736:   } /* Tvaraff[1]@5 {3, 4, -20, 0, 0} Very strange */
                   4737:   /* ij--; */
                   4738:   /* cptcoveff=ij; /\*Number of total covariates*\/ */
                   4739:   *cptcov=ij; /*Number of total real effective covariates: effective
                   4740:               * because they can be excluded from the model and real
1.227     brouard  4741:               * if in the model but excluded because missing values, but how to get k from ij?*/
                   4742:   for(j=ij+1; j<= cptcovt; j++){
                   4743:     Tvaraff[j]=0;
                   4744:     Tmodelind[j]=0;
                   4745:   }
1.228     brouard  4746:   for(j=ntveff+1; j<= cptcovt; j++){
                   4747:     TmodelInvind[j]=0;
                   4748:   }
1.227     brouard  4749:   /* To be sorted */
                   4750:   ;
1.126     brouard  4751: }
                   4752: 
1.145     brouard  4753: 
1.126     brouard  4754: /*********** Health Expectancies ****************/
                   4755: 
1.127     brouard  4756: 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  4757: 
                   4758: {
                   4759:   /* Health expectancies, no variances */
1.164     brouard  4760:   int i, j, nhstepm, hstepm, h, nstepm;
1.126     brouard  4761:   int nhstepma, nstepma; /* Decreasing with age */
                   4762:   double age, agelim, hf;
                   4763:   double ***p3mat;
                   4764:   double eip;
                   4765: 
                   4766:   pstamp(ficreseij);
                   4767:   fprintf(ficreseij,"# (a) Life expectancies by health status at initial age and (b) health expectancies by health status at initial age\n");
                   4768:   fprintf(ficreseij,"# Age");
                   4769:   for(i=1; i<=nlstate;i++){
                   4770:     for(j=1; j<=nlstate;j++){
                   4771:       fprintf(ficreseij," e%1d%1d ",i,j);
                   4772:     }
                   4773:     fprintf(ficreseij," e%1d. ",i);
                   4774:   }
                   4775:   fprintf(ficreseij,"\n");
                   4776: 
                   4777:   
                   4778:   if(estepm < stepm){
                   4779:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   4780:   }
                   4781:   else  hstepm=estepm;   
                   4782:   /* We compute the life expectancy from trapezoids spaced every estepm months
                   4783:    * This is mainly to measure the difference between two models: for example
                   4784:    * if stepm=24 months pijx are given only every 2 years and by summing them
                   4785:    * we are calculating an estimate of the Life Expectancy assuming a linear 
                   4786:    * progression in between and thus overestimating or underestimating according
                   4787:    * to the curvature of the survival function. If, for the same date, we 
                   4788:    * estimate the model with stepm=1 month, we can keep estepm to 24 months
                   4789:    * to compare the new estimate of Life expectancy with the same linear 
                   4790:    * hypothesis. A more precise result, taking into account a more precise
                   4791:    * curvature will be obtained if estepm is as small as stepm. */
                   4792: 
                   4793:   /* For example we decided to compute the life expectancy with the smallest unit */
                   4794:   /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
                   4795:      nhstepm is the number of hstepm from age to agelim 
                   4796:      nstepm is the number of stepm from age to agelin. 
                   4797:      Look at hpijx to understand the reason of that which relies in memory size
                   4798:      and note for a fixed period like estepm months */
                   4799:   /* We decided (b) to get a life expectancy respecting the most precise curvature of the
                   4800:      survival function given by stepm (the optimization length). Unfortunately it
                   4801:      means that if the survival funtion is printed only each two years of age and if
                   4802:      you sum them up and add 1 year (area under the trapezoids) you won't get the same 
                   4803:      results. So we changed our mind and took the option of the best precision.
                   4804:   */
                   4805:   hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
                   4806: 
                   4807:   agelim=AGESUP;
                   4808:   /* If stepm=6 months */
                   4809:     /* Computed by stepm unit matrices, product of hstepm matrices, stored
                   4810:        in an array of nhstepm length: nhstepm=10, hstepm=4, stepm=6 months */
                   4811:     
                   4812: /* nhstepm age range expressed in number of stepm */
                   4813:   nstepm=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
                   4814:   /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   4815:   /* if (stepm >= YEARM) hstepm=1;*/
                   4816:   nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
                   4817:   p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   4818: 
                   4819:   for (age=bage; age<=fage; age ++){ 
                   4820:     nstepma=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
                   4821:     /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   4822:     /* if (stepm >= YEARM) hstepm=1;*/
                   4823:     nhstepma = nstepma/hstepm;/* Expressed in hstepm, typically nhstepma=40/4=10 */
                   4824: 
                   4825:     /* If stepm=6 months */
                   4826:     /* Computed by stepm unit matrices, product of hstepma matrices, stored
                   4827:        in an array of nhstepma length: nhstepma=10, hstepm=4, stepm=6 months */
                   4828:     
                   4829:     hpxij(p3mat,nhstepma,age,hstepm,x,nlstate,stepm,oldm, savm, cij);  
                   4830:     
                   4831:     hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
                   4832:     
                   4833:     printf("%d|",(int)age);fflush(stdout);
                   4834:     fprintf(ficlog,"%d|",(int)age);fflush(ficlog);
                   4835:     
                   4836:     /* Computing expectancies */
                   4837:     for(i=1; i<=nlstate;i++)
                   4838:       for(j=1; j<=nlstate;j++)
                   4839:        for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){
                   4840:          eij[i][j][(int)age] += (p3mat[i][j][h]+p3mat[i][j][h+1])/2.0*hf;
                   4841:          
                   4842:          /* 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]);*/
                   4843: 
                   4844:        }
                   4845: 
                   4846:     fprintf(ficreseij,"%3.0f",age );
                   4847:     for(i=1; i<=nlstate;i++){
                   4848:       eip=0;
                   4849:       for(j=1; j<=nlstate;j++){
                   4850:        eip +=eij[i][j][(int)age];
                   4851:        fprintf(ficreseij,"%9.4f", eij[i][j][(int)age] );
                   4852:       }
                   4853:       fprintf(ficreseij,"%9.4f", eip );
                   4854:     }
                   4855:     fprintf(ficreseij,"\n");
                   4856:     
                   4857:   }
                   4858:   free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   4859:   printf("\n");
                   4860:   fprintf(ficlog,"\n");
                   4861:   
                   4862: }
                   4863: 
1.127     brouard  4864: 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  4865: 
                   4866: {
                   4867:   /* Covariances of health expectancies eij and of total life expectancies according
1.222     brouard  4868:      to initial status i, ei. .
1.126     brouard  4869:   */
                   4870:   int i, j, nhstepm, hstepm, h, nstepm, k, cptj, cptj2, i2, j2, ij, ji;
                   4871:   int nhstepma, nstepma; /* Decreasing with age */
                   4872:   double age, agelim, hf;
                   4873:   double ***p3matp, ***p3matm, ***varhe;
                   4874:   double **dnewm,**doldm;
                   4875:   double *xp, *xm;
                   4876:   double **gp, **gm;
                   4877:   double ***gradg, ***trgradg;
                   4878:   int theta;
                   4879: 
                   4880:   double eip, vip;
                   4881: 
                   4882:   varhe=ma3x(1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int) fage);
                   4883:   xp=vector(1,npar);
                   4884:   xm=vector(1,npar);
                   4885:   dnewm=matrix(1,nlstate*nlstate,1,npar);
                   4886:   doldm=matrix(1,nlstate*nlstate,1,nlstate*nlstate);
                   4887:   
                   4888:   pstamp(ficresstdeij);
                   4889:   fprintf(ficresstdeij,"# Health expectancies with standard errors\n");
                   4890:   fprintf(ficresstdeij,"# Age");
                   4891:   for(i=1; i<=nlstate;i++){
                   4892:     for(j=1; j<=nlstate;j++)
                   4893:       fprintf(ficresstdeij," e%1d%1d (SE)",i,j);
                   4894:     fprintf(ficresstdeij," e%1d. ",i);
                   4895:   }
                   4896:   fprintf(ficresstdeij,"\n");
                   4897: 
                   4898:   pstamp(ficrescveij);
                   4899:   fprintf(ficrescveij,"# Subdiagonal matrix of covariances of health expectancies by age: cov(eij,ekl)\n");
                   4900:   fprintf(ficrescveij,"# Age");
                   4901:   for(i=1; i<=nlstate;i++)
                   4902:     for(j=1; j<=nlstate;j++){
                   4903:       cptj= (j-1)*nlstate+i;
                   4904:       for(i2=1; i2<=nlstate;i2++)
                   4905:        for(j2=1; j2<=nlstate;j2++){
                   4906:          cptj2= (j2-1)*nlstate+i2;
                   4907:          if(cptj2 <= cptj)
                   4908:            fprintf(ficrescveij,"  %1d%1d,%1d%1d",i,j,i2,j2);
                   4909:        }
                   4910:     }
                   4911:   fprintf(ficrescveij,"\n");
                   4912:   
                   4913:   if(estepm < stepm){
                   4914:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   4915:   }
                   4916:   else  hstepm=estepm;   
                   4917:   /* We compute the life expectancy from trapezoids spaced every estepm months
                   4918:    * This is mainly to measure the difference between two models: for example
                   4919:    * if stepm=24 months pijx are given only every 2 years and by summing them
                   4920:    * we are calculating an estimate of the Life Expectancy assuming a linear 
                   4921:    * progression in between and thus overestimating or underestimating according
                   4922:    * to the curvature of the survival function. If, for the same date, we 
                   4923:    * estimate the model with stepm=1 month, we can keep estepm to 24 months
                   4924:    * to compare the new estimate of Life expectancy with the same linear 
                   4925:    * hypothesis. A more precise result, taking into account a more precise
                   4926:    * curvature will be obtained if estepm is as small as stepm. */
                   4927: 
                   4928:   /* For example we decided to compute the life expectancy with the smallest unit */
                   4929:   /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
                   4930:      nhstepm is the number of hstepm from age to agelim 
                   4931:      nstepm is the number of stepm from age to agelin. 
                   4932:      Look at hpijx to understand the reason of that which relies in memory size
                   4933:      and note for a fixed period like estepm months */
                   4934:   /* We decided (b) to get a life expectancy respecting the most precise curvature of the
                   4935:      survival function given by stepm (the optimization length). Unfortunately it
                   4936:      means that if the survival funtion is printed only each two years of age and if
                   4937:      you sum them up and add 1 year (area under the trapezoids) you won't get the same 
                   4938:      results. So we changed our mind and took the option of the best precision.
                   4939:   */
                   4940:   hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
                   4941: 
                   4942:   /* If stepm=6 months */
                   4943:   /* nhstepm age range expressed in number of stepm */
                   4944:   agelim=AGESUP;
                   4945:   nstepm=(int) rint((agelim-bage)*YEARM/stepm); 
                   4946:   /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   4947:   /* if (stepm >= YEARM) hstepm=1;*/
                   4948:   nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
                   4949:   
                   4950:   p3matp=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   4951:   p3matm=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   4952:   gradg=ma3x(0,nhstepm,1,npar,1,nlstate*nlstate);
                   4953:   trgradg =ma3x(0,nhstepm,1,nlstate*nlstate,1,npar);
                   4954:   gp=matrix(0,nhstepm,1,nlstate*nlstate);
                   4955:   gm=matrix(0,nhstepm,1,nlstate*nlstate);
                   4956: 
                   4957:   for (age=bage; age<=fage; age ++){ 
                   4958:     nstepma=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
                   4959:     /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   4960:     /* if (stepm >= YEARM) hstepm=1;*/
                   4961:     nhstepma = nstepma/hstepm;/* Expressed in hstepm, typically nhstepma=40/4=10 */
1.218     brouard  4962:                
1.126     brouard  4963:     /* If stepm=6 months */
                   4964:     /* Computed by stepm unit matrices, product of hstepma matrices, stored
                   4965:        in an array of nhstepma length: nhstepma=10, hstepm=4, stepm=6 months */
                   4966:     
                   4967:     hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
1.218     brouard  4968:                
1.126     brouard  4969:     /* Computing  Variances of health expectancies */
                   4970:     /* Gradient is computed with plus gp and minus gm. Code is duplicated in order to
                   4971:        decrease memory allocation */
                   4972:     for(theta=1; theta <=npar; theta++){
                   4973:       for(i=1; i<=npar; i++){ 
1.222     brouard  4974:        xp[i] = x[i] + (i==theta ?delti[theta]:0);
                   4975:        xm[i] = x[i] - (i==theta ?delti[theta]:0);
1.126     brouard  4976:       }
                   4977:       hpxij(p3matp,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, cij);  
                   4978:       hpxij(p3matm,nhstepm,age,hstepm,xm,nlstate,stepm,oldm,savm, cij);  
1.218     brouard  4979:                        
1.126     brouard  4980:       for(j=1; j<= nlstate; j++){
1.222     brouard  4981:        for(i=1; i<=nlstate; i++){
                   4982:          for(h=0; h<=nhstepm-1; h++){
                   4983:            gp[h][(j-1)*nlstate + i] = (p3matp[i][j][h]+p3matp[i][j][h+1])/2.;
                   4984:            gm[h][(j-1)*nlstate + i] = (p3matm[i][j][h]+p3matm[i][j][h+1])/2.;
                   4985:          }
                   4986:        }
1.126     brouard  4987:       }
1.218     brouard  4988:                        
1.126     brouard  4989:       for(ij=1; ij<= nlstate*nlstate; ij++)
1.222     brouard  4990:        for(h=0; h<=nhstepm-1; h++){
                   4991:          gradg[h][theta][ij]= (gp[h][ij]-gm[h][ij])/2./delti[theta];
                   4992:        }
1.126     brouard  4993:     }/* End theta */
                   4994:     
                   4995:     
                   4996:     for(h=0; h<=nhstepm-1; h++)
                   4997:       for(j=1; j<=nlstate*nlstate;j++)
1.222     brouard  4998:        for(theta=1; theta <=npar; theta++)
                   4999:          trgradg[h][j][theta]=gradg[h][theta][j];
1.126     brouard  5000:     
1.218     brouard  5001:                
1.222     brouard  5002:     for(ij=1;ij<=nlstate*nlstate;ij++)
1.126     brouard  5003:       for(ji=1;ji<=nlstate*nlstate;ji++)
1.222     brouard  5004:        varhe[ij][ji][(int)age] =0.;
1.218     brouard  5005:                
1.222     brouard  5006:     printf("%d|",(int)age);fflush(stdout);
                   5007:     fprintf(ficlog,"%d|",(int)age);fflush(ficlog);
                   5008:     for(h=0;h<=nhstepm-1;h++){
1.126     brouard  5009:       for(k=0;k<=nhstepm-1;k++){
1.222     brouard  5010:        matprod2(dnewm,trgradg[h],1,nlstate*nlstate,1,npar,1,npar,matcov);
                   5011:        matprod2(doldm,dnewm,1,nlstate*nlstate,1,npar,1,nlstate*nlstate,gradg[k]);
                   5012:        for(ij=1;ij<=nlstate*nlstate;ij++)
                   5013:          for(ji=1;ji<=nlstate*nlstate;ji++)
                   5014:            varhe[ij][ji][(int)age] += doldm[ij][ji]*hf*hf;
1.126     brouard  5015:       }
                   5016:     }
1.218     brouard  5017:                
1.126     brouard  5018:     /* Computing expectancies */
                   5019:     hpxij(p3matm,nhstepm,age,hstepm,x,nlstate,stepm,oldm, savm, cij);  
                   5020:     for(i=1; i<=nlstate;i++)
                   5021:       for(j=1; j<=nlstate;j++)
1.222     brouard  5022:        for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){
                   5023:          eij[i][j][(int)age] += (p3matm[i][j][h]+p3matm[i][j][h+1])/2.0*hf;
1.218     brouard  5024:                                        
1.222     brouard  5025:          /* 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]);*/
1.218     brouard  5026:                                        
1.222     brouard  5027:        }
1.218     brouard  5028:                
1.126     brouard  5029:     fprintf(ficresstdeij,"%3.0f",age );
                   5030:     for(i=1; i<=nlstate;i++){
                   5031:       eip=0.;
                   5032:       vip=0.;
                   5033:       for(j=1; j<=nlstate;j++){
1.222     brouard  5034:        eip += eij[i][j][(int)age];
                   5035:        for(k=1; k<=nlstate;k++) /* Sum on j and k of cov(eij,eik) */
                   5036:          vip += varhe[(j-1)*nlstate+i][(k-1)*nlstate+i][(int)age];
                   5037:        fprintf(ficresstdeij," %9.4f (%.4f)", eij[i][j][(int)age], sqrt(varhe[(j-1)*nlstate+i][(j-1)*nlstate+i][(int)age]) );
1.126     brouard  5038:       }
                   5039:       fprintf(ficresstdeij," %9.4f (%.4f)", eip, sqrt(vip));
                   5040:     }
                   5041:     fprintf(ficresstdeij,"\n");
1.218     brouard  5042:                
1.126     brouard  5043:     fprintf(ficrescveij,"%3.0f",age );
                   5044:     for(i=1; i<=nlstate;i++)
                   5045:       for(j=1; j<=nlstate;j++){
1.222     brouard  5046:        cptj= (j-1)*nlstate+i;
                   5047:        for(i2=1; i2<=nlstate;i2++)
                   5048:          for(j2=1; j2<=nlstate;j2++){
                   5049:            cptj2= (j2-1)*nlstate+i2;
                   5050:            if(cptj2 <= cptj)
                   5051:              fprintf(ficrescveij," %.4f", varhe[cptj][cptj2][(int)age]);
                   5052:          }
1.126     brouard  5053:       }
                   5054:     fprintf(ficrescveij,"\n");
1.218     brouard  5055:                
1.126     brouard  5056:   }
                   5057:   free_matrix(gm,0,nhstepm,1,nlstate*nlstate);
                   5058:   free_matrix(gp,0,nhstepm,1,nlstate*nlstate);
                   5059:   free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate*nlstate);
                   5060:   free_ma3x(trgradg,0,nhstepm,1,nlstate*nlstate,1,npar);
                   5061:   free_ma3x(p3matm,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5062:   free_ma3x(p3matp,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5063:   printf("\n");
                   5064:   fprintf(ficlog,"\n");
1.218     brouard  5065:        
1.126     brouard  5066:   free_vector(xm,1,npar);
                   5067:   free_vector(xp,1,npar);
                   5068:   free_matrix(dnewm,1,nlstate*nlstate,1,npar);
                   5069:   free_matrix(doldm,1,nlstate*nlstate,1,nlstate*nlstate);
                   5070:   free_ma3x(varhe,1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int)fage);
                   5071: }
1.218     brouard  5072:  
1.126     brouard  5073: /************ Variance ******************/
1.209     brouard  5074:  void varevsij(char optionfilefiname[], double ***vareij, double **matcov, double x[], double delti[], int nlstate, int stepm, double bage, double fage, double **oldm, double **savm, double **prlim, double ftolpl, int *ncvyearp, int ij, int estepm, int cptcov, int cptcod, int popbased, int mobilav, char strstart[])
1.218     brouard  5075:  {
                   5076:    /* Variance of health expectancies */
                   5077:    /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);*/
                   5078:    /* double **newm;*/
                   5079:    /* int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav)*/
                   5080:   
                   5081:    /* int movingaverage(); */
                   5082:    double **dnewm,**doldm;
                   5083:    double **dnewmp,**doldmp;
                   5084:    int i, j, nhstepm, hstepm, h, nstepm ;
                   5085:    int k;
                   5086:    double *xp;
                   5087:    double **gp, **gm;  /* for var eij */
                   5088:    double ***gradg, ***trgradg; /*for var eij */
                   5089:    double **gradgp, **trgradgp; /* for var p point j */
                   5090:    double *gpp, *gmp; /* for var p point j */
                   5091:    double **varppt; /* for var p point j nlstate to nlstate+ndeath */
                   5092:    double ***p3mat;
                   5093:    double age,agelim, hf;
                   5094:    /* double ***mobaverage; */
                   5095:    int theta;
                   5096:    char digit[4];
                   5097:    char digitp[25];
                   5098: 
                   5099:    char fileresprobmorprev[FILENAMELENGTH];
                   5100: 
                   5101:    if(popbased==1){
                   5102:      if(mobilav!=0)
                   5103:        strcpy(digitp,"-POPULBASED-MOBILAV_");
                   5104:      else strcpy(digitp,"-POPULBASED-NOMOBIL_");
                   5105:    }
                   5106:    else 
                   5107:      strcpy(digitp,"-STABLBASED_");
1.126     brouard  5108: 
1.218     brouard  5109:    /* if (mobilav!=0) { */
                   5110:    /*   mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   5111:    /*   if (movingaverage(probs, bage, fage, mobaverage,mobilav)!=0){ */
                   5112:    /*     fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav); */
                   5113:    /*     printf(" Error in movingaverage mobilav=%d\n",mobilav); */
                   5114:    /*   } */
                   5115:    /* } */
                   5116: 
                   5117:    strcpy(fileresprobmorprev,"PRMORPREV-"); 
                   5118:    sprintf(digit,"%-d",ij);
                   5119:    /*printf("DIGIT=%s, ij=%d ijr=%-d|\n",digit, ij,ij);*/
                   5120:    strcat(fileresprobmorprev,digit); /* Tvar to be done */
                   5121:    strcat(fileresprobmorprev,digitp); /* Popbased or not, mobilav or not */
                   5122:    strcat(fileresprobmorprev,fileresu);
                   5123:    if((ficresprobmorprev=fopen(fileresprobmorprev,"w"))==NULL) {
                   5124:      printf("Problem with resultfile: %s\n", fileresprobmorprev);
                   5125:      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobmorprev);
                   5126:    }
                   5127:    printf("Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
                   5128:    fprintf(ficlog,"Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
                   5129:    pstamp(ficresprobmorprev);
                   5130:    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);
                   5131:    fprintf(ficresprobmorprev,"# Age cov=%-d",ij);
                   5132:    for(j=nlstate+1; j<=(nlstate+ndeath);j++){
                   5133:      fprintf(ficresprobmorprev," p.%-d SE",j);
                   5134:      for(i=1; i<=nlstate;i++)
                   5135:        fprintf(ficresprobmorprev," w%1d p%-d%-d",i,i,j);
                   5136:    }  
                   5137:    fprintf(ficresprobmorprev,"\n");
                   5138:   
                   5139:    fprintf(ficgp,"\n# Routine varevsij");
                   5140:    fprintf(ficgp,"\nunset title \n");
                   5141:    /* fprintf(fichtm, "#Local time at start: %s", strstart);*/
                   5142:    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");
                   5143:    fprintf(fichtm,"\n<br>%s  <br>\n",digitp);
                   5144:    /*   } */
                   5145:    varppt = matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   5146:    pstamp(ficresvij);
                   5147:    fprintf(ficresvij,"# Variance and covariance of health expectancies e.j \n#  (weighted average of eij where weights are ");
                   5148:    if(popbased==1)
                   5149:      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);
                   5150:    else
                   5151:      fprintf(ficresvij,"the age specific period (stable) prevalences in each health state \n");
                   5152:    fprintf(ficresvij,"# Age");
                   5153:    for(i=1; i<=nlstate;i++)
                   5154:      for(j=1; j<=nlstate;j++)
                   5155:        fprintf(ficresvij," Cov(e.%1d, e.%1d)",i,j);
                   5156:    fprintf(ficresvij,"\n");
                   5157: 
                   5158:    xp=vector(1,npar);
                   5159:    dnewm=matrix(1,nlstate,1,npar);
                   5160:    doldm=matrix(1,nlstate,1,nlstate);
                   5161:    dnewmp= matrix(nlstate+1,nlstate+ndeath,1,npar);
                   5162:    doldmp= matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   5163: 
                   5164:    gradgp=matrix(1,npar,nlstate+1,nlstate+ndeath);
                   5165:    gpp=vector(nlstate+1,nlstate+ndeath);
                   5166:    gmp=vector(nlstate+1,nlstate+ndeath);
                   5167:    trgradgp =matrix(nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
1.126     brouard  5168:   
1.218     brouard  5169:    if(estepm < stepm){
                   5170:      printf ("Problem %d lower than %d\n",estepm, stepm);
                   5171:    }
                   5172:    else  hstepm=estepm;   
                   5173:    /* For example we decided to compute the life expectancy with the smallest unit */
                   5174:    /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
                   5175:       nhstepm is the number of hstepm from age to agelim 
                   5176:       nstepm is the number of stepm from age to agelim. 
                   5177:       Look at function hpijx to understand why because of memory size limitations, 
                   5178:       we decided (b) to get a life expectancy respecting the most precise curvature of the
                   5179:       survival function given by stepm (the optimization length). Unfortunately it
                   5180:       means that if the survival funtion is printed every two years of age and if
                   5181:       you sum them up and add 1 year (area under the trapezoids) you won't get the same 
                   5182:       results. So we changed our mind and took the option of the best precision.
                   5183:    */
                   5184:    hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
                   5185:    agelim = AGESUP;
                   5186:    for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
                   5187:      nstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
                   5188:      nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
                   5189:      p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5190:      gradg=ma3x(0,nhstepm,1,npar,1,nlstate);
                   5191:      gp=matrix(0,nhstepm,1,nlstate);
                   5192:      gm=matrix(0,nhstepm,1,nlstate);
                   5193:                
                   5194:                
                   5195:      for(theta=1; theta <=npar; theta++){
                   5196:        for(i=1; i<=npar; i++){ /* Computes gradient x + delta*/
                   5197:         xp[i] = x[i] + (i==theta ?delti[theta]:0);
                   5198:        }
                   5199:                        
                   5200:        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij);
                   5201:                        
                   5202:        if (popbased==1) {
                   5203:         if(mobilav ==0){
                   5204:           for(i=1; i<=nlstate;i++)
                   5205:             prlim[i][i]=probs[(int)age][i][ij];
                   5206:         }else{ /* mobilav */ 
                   5207:           for(i=1; i<=nlstate;i++)
                   5208:             prlim[i][i]=mobaverage[(int)age][i][ij];
                   5209:         }
                   5210:        }
                   5211:                        
                   5212:        hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);  /* Returns p3mat[i][j][h] for h=1 to nhstepm */
                   5213:        for(j=1; j<= nlstate; j++){
                   5214:         for(h=0; h<=nhstepm; h++){
                   5215:           for(i=1, gp[h][j]=0.;i<=nlstate;i++)
                   5216:             gp[h][j] += prlim[i][i]*p3mat[i][j][h];
                   5217:         }
                   5218:        }
                   5219:        /* Next for computing probability of death (h=1 means
                   5220:          computed over hstepm matrices product = hstepm*stepm months) 
                   5221:          as a weighted average of prlim.
                   5222:        */
                   5223:        for(j=nlstate+1;j<=nlstate+ndeath;j++){
                   5224:         for(i=1,gpp[j]=0.; i<= nlstate; i++)
                   5225:           gpp[j] += prlim[i][i]*p3mat[i][j][1];
                   5226:        }    
                   5227:        /* end probability of death */
                   5228:                        
                   5229:        for(i=1; i<=npar; i++) /* Computes gradient x - delta */
                   5230:         xp[i] = x[i] - (i==theta ?delti[theta]:0);
                   5231:                        
                   5232:        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp, ij);
                   5233:                        
                   5234:        if (popbased==1) {
                   5235:         if(mobilav ==0){
                   5236:           for(i=1; i<=nlstate;i++)
                   5237:             prlim[i][i]=probs[(int)age][i][ij];
                   5238:         }else{ /* mobilav */ 
                   5239:           for(i=1; i<=nlstate;i++)
                   5240:             prlim[i][i]=mobaverage[(int)age][i][ij];
                   5241:         }
                   5242:        }
                   5243:                        
                   5244:        hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);  
                   5245:                        
                   5246:        for(j=1; j<= nlstate; j++){  /* Sum of wi * eij = e.j */
                   5247:         for(h=0; h<=nhstepm; h++){
                   5248:           for(i=1, gm[h][j]=0.;i<=nlstate;i++)
                   5249:             gm[h][j] += prlim[i][i]*p3mat[i][j][h];
                   5250:         }
                   5251:        }
                   5252:        /* This for computing probability of death (h=1 means
                   5253:          computed over hstepm matrices product = hstepm*stepm months) 
                   5254:          as a weighted average of prlim.
                   5255:        */
                   5256:        for(j=nlstate+1;j<=nlstate+ndeath;j++){
                   5257:         for(i=1,gmp[j]=0.; i<= nlstate; i++)
                   5258:           gmp[j] += prlim[i][i]*p3mat[i][j][1];
                   5259:        }    
                   5260:        /* end probability of death */
                   5261:                        
                   5262:        for(j=1; j<= nlstate; j++) /* vareij */
                   5263:         for(h=0; h<=nhstepm; h++){
                   5264:           gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta];
                   5265:         }
                   5266:                        
                   5267:        for(j=nlstate+1; j<= nlstate+ndeath; j++){ /* var mu */
                   5268:         gradgp[theta][j]= (gpp[j]-gmp[j])/2./delti[theta];
                   5269:        }
                   5270:                        
                   5271:      } /* End theta */
                   5272:                
                   5273:      trgradg =ma3x(0,nhstepm,1,nlstate,1,npar); /* veij */
                   5274:                
                   5275:      for(h=0; h<=nhstepm; h++) /* veij */
                   5276:        for(j=1; j<=nlstate;j++)
                   5277:         for(theta=1; theta <=npar; theta++)
                   5278:           trgradg[h][j][theta]=gradg[h][theta][j];
                   5279:                
                   5280:      for(j=nlstate+1; j<=nlstate+ndeath;j++) /* mu */
                   5281:        for(theta=1; theta <=npar; theta++)
                   5282:         trgradgp[j][theta]=gradgp[theta][j];
                   5283:                
                   5284:                
                   5285:      hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
                   5286:      for(i=1;i<=nlstate;i++)
                   5287:        for(j=1;j<=nlstate;j++)
                   5288:         vareij[i][j][(int)age] =0.;
                   5289:                
                   5290:      for(h=0;h<=nhstepm;h++){
                   5291:        for(k=0;k<=nhstepm;k++){
                   5292:         matprod2(dnewm,trgradg[h],1,nlstate,1,npar,1,npar,matcov);
                   5293:         matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg[k]);
                   5294:         for(i=1;i<=nlstate;i++)
                   5295:           for(j=1;j<=nlstate;j++)
                   5296:             vareij[i][j][(int)age] += doldm[i][j]*hf*hf;
                   5297:        }
                   5298:      }
                   5299:                
                   5300:      /* pptj */
                   5301:      matprod2(dnewmp,trgradgp,nlstate+1,nlstate+ndeath,1,npar,1,npar,matcov);
                   5302:      matprod2(doldmp,dnewmp,nlstate+1,nlstate+ndeath,1,npar,nlstate+1,nlstate+ndeath,gradgp);
                   5303:      for(j=nlstate+1;j<=nlstate+ndeath;j++)
                   5304:        for(i=nlstate+1;i<=nlstate+ndeath;i++)
                   5305:         varppt[j][i]=doldmp[j][i];
                   5306:      /* end ppptj */
                   5307:      /*  x centered again */
                   5308:                
                   5309:      prevalim(prlim,nlstate,x,age,oldm,savm,ftolpl,ncvyearp,ij);
                   5310:                
                   5311:      if (popbased==1) {
                   5312:        if(mobilav ==0){
                   5313:         for(i=1; i<=nlstate;i++)
                   5314:           prlim[i][i]=probs[(int)age][i][ij];
                   5315:        }else{ /* mobilav */ 
                   5316:         for(i=1; i<=nlstate;i++)
                   5317:           prlim[i][i]=mobaverage[(int)age][i][ij];
                   5318:        }
                   5319:      }
                   5320:                
                   5321:      /* This for computing probability of death (h=1 means
                   5322:        computed over hstepm (estepm) matrices product = hstepm*stepm months) 
                   5323:        as a weighted average of prlim.
                   5324:      */
                   5325:      hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm,savm, ij);  
                   5326:      for(j=nlstate+1;j<=nlstate+ndeath;j++){
                   5327:        for(i=1,gmp[j]=0.;i<= nlstate; i++) 
                   5328:         gmp[j] += prlim[i][i]*p3mat[i][j][1]; 
                   5329:      }    
                   5330:      /* end probability of death */
                   5331:                
                   5332:      fprintf(ficresprobmorprev,"%3d %d ",(int) age, ij);
                   5333:      for(j=nlstate+1; j<=(nlstate+ndeath);j++){
                   5334:        fprintf(ficresprobmorprev," %11.3e %11.3e",gmp[j], sqrt(varppt[j][j]));
                   5335:        for(i=1; i<=nlstate;i++){
                   5336:         fprintf(ficresprobmorprev," %11.3e %11.3e ",prlim[i][i],p3mat[i][j][1]);
                   5337:        }
                   5338:      } 
                   5339:      fprintf(ficresprobmorprev,"\n");
                   5340:                
                   5341:      fprintf(ficresvij,"%.0f ",age );
                   5342:      for(i=1; i<=nlstate;i++)
                   5343:        for(j=1; j<=nlstate;j++){
                   5344:         fprintf(ficresvij," %.4f", vareij[i][j][(int)age]);
                   5345:        }
                   5346:      fprintf(ficresvij,"\n");
                   5347:      free_matrix(gp,0,nhstepm,1,nlstate);
                   5348:      free_matrix(gm,0,nhstepm,1,nlstate);
                   5349:      free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate);
                   5350:      free_ma3x(trgradg,0,nhstepm,1,nlstate,1,npar);
                   5351:      free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5352:    } /* End age */
                   5353:    free_vector(gpp,nlstate+1,nlstate+ndeath);
                   5354:    free_vector(gmp,nlstate+1,nlstate+ndeath);
                   5355:    free_matrix(gradgp,1,npar,nlstate+1,nlstate+ndeath);
                   5356:    free_matrix(trgradgp,nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
                   5357:    /* fprintf(ficgp,"\nunset parametric;unset label; set ter png small size 320, 240"); */
                   5358:    fprintf(ficgp,"\nunset parametric;unset label; set ter svg size 640, 480");
                   5359:    /* for(j=nlstate+1; j<= nlstate+ndeath; j++){ *//* Only the first actually */
                   5360:    fprintf(ficgp,"\n set log y; unset log x;set xlabel \"Age\"; set ylabel \"Force of mortality (year-1)\";");
                   5361:    fprintf(ficgp,"\nset out \"%s%s.svg\";",subdirf3(optionfilefiname,"VARMUPTJGR-",digitp),digit);
                   5362:    /*   fprintf(ficgp,"\n plot \"%s\"  u 1:($3*%6.3f) not w l 1 ",fileresprobmorprev,YEARM/estepm); */
                   5363:    /*   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)*%6.3f) t \"95\%% interval\" w l 2 ",fileresprobmorprev,YEARM/estepm); */
                   5364:    /*   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)*%6.3f) not w l 2 ",fileresprobmorprev,YEARM/estepm); */
                   5365:    fprintf(ficgp,"\n plot \"%s\"  u 1:($3) not w l lt 1 ",subdirf(fileresprobmorprev));
                   5366:    fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)) t \"95%% interval\" w l lt 2 ",subdirf(fileresprobmorprev));
                   5367:    fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)) not w l lt 2 ",subdirf(fileresprobmorprev));
                   5368:    fprintf(fichtm,"\n<br> File (multiple files are possible if covariates are present): <A href=\"%s\">%s</a>\n",subdirf(fileresprobmorprev),subdirf(fileresprobmorprev));
                   5369:    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);
                   5370:    /*  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  5371:     */
1.218     brouard  5372:    /*   fprintf(ficgp,"\nset out \"varmuptjgr%s%s%s.svg\";replot;",digitp,optionfilefiname,digit); */
                   5373:    fprintf(ficgp,"\nset out;\nset out \"%s%s.svg\";replot;set out;\n",subdirf3(optionfilefiname,"VARMUPTJGR-",digitp),digit);
1.126     brouard  5374: 
1.218     brouard  5375:    free_vector(xp,1,npar);
                   5376:    free_matrix(doldm,1,nlstate,1,nlstate);
                   5377:    free_matrix(dnewm,1,nlstate,1,npar);
                   5378:    free_matrix(doldmp,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   5379:    free_matrix(dnewmp,nlstate+1,nlstate+ndeath,1,npar);
                   5380:    free_matrix(varppt,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   5381:    /* if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   5382:    fclose(ficresprobmorprev);
                   5383:    fflush(ficgp);
                   5384:    fflush(fichtm); 
                   5385:  }  /* end varevsij */
1.126     brouard  5386: 
                   5387: /************ Variance of prevlim ******************/
1.209     brouard  5388:  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  5389: {
1.205     brouard  5390:   /* Variance of prevalence limit  for each state ij using current parameters x[] and estimates of neighbourhood give by delti*/
1.126     brouard  5391:   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double **savm,double ftolpl);*/
1.164     brouard  5392: 
1.126     brouard  5393:   double **dnewm,**doldm;
                   5394:   int i, j, nhstepm, hstepm;
                   5395:   double *xp;
                   5396:   double *gp, *gm;
                   5397:   double **gradg, **trgradg;
1.208     brouard  5398:   double **mgm, **mgp;
1.126     brouard  5399:   double age,agelim;
                   5400:   int theta;
                   5401:   
                   5402:   pstamp(ficresvpl);
                   5403:   fprintf(ficresvpl,"# Standard deviation of period (stable) prevalences \n");
                   5404:   fprintf(ficresvpl,"# Age");
                   5405:   for(i=1; i<=nlstate;i++)
                   5406:       fprintf(ficresvpl," %1d-%1d",i,i);
                   5407:   fprintf(ficresvpl,"\n");
                   5408: 
                   5409:   xp=vector(1,npar);
                   5410:   dnewm=matrix(1,nlstate,1,npar);
                   5411:   doldm=matrix(1,nlstate,1,nlstate);
                   5412:   
                   5413:   hstepm=1*YEARM; /* Every year of age */
                   5414:   hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */ 
                   5415:   agelim = AGESUP;
                   5416:   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
                   5417:     nhstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
                   5418:     if (stepm >= YEARM) hstepm=1;
                   5419:     nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
                   5420:     gradg=matrix(1,npar,1,nlstate);
1.208     brouard  5421:     mgp=matrix(1,npar,1,nlstate);
                   5422:     mgm=matrix(1,npar,1,nlstate);
1.126     brouard  5423:     gp=vector(1,nlstate);
                   5424:     gm=vector(1,nlstate);
                   5425: 
                   5426:     for(theta=1; theta <=npar; theta++){
                   5427:       for(i=1; i<=npar; i++){ /* Computes gradient */
                   5428:        xp[i] = x[i] + (i==theta ?delti[theta]:0);
                   5429:       }
1.209     brouard  5430:       if((int)age==79 ||(int)age== 80 ||(int)age== 81 )
                   5431:        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij);
                   5432:       else
                   5433:        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij);
1.208     brouard  5434:       for(i=1;i<=nlstate;i++){
1.126     brouard  5435:        gp[i] = prlim[i][i];
1.208     brouard  5436:        mgp[theta][i] = prlim[i][i];
                   5437:       }
1.126     brouard  5438:       for(i=1; i<=npar; i++) /* Computes gradient */
                   5439:        xp[i] = x[i] - (i==theta ?delti[theta]:0);
1.209     brouard  5440:       if((int)age==79 ||(int)age== 80 ||(int)age== 81 )
                   5441:        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij);
                   5442:       else
                   5443:        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij);
1.208     brouard  5444:       for(i=1;i<=nlstate;i++){
1.126     brouard  5445:        gm[i] = prlim[i][i];
1.208     brouard  5446:        mgm[theta][i] = prlim[i][i];
                   5447:       }
1.126     brouard  5448:       for(i=1;i<=nlstate;i++)
                   5449:        gradg[theta][i]= (gp[i]-gm[i])/2./delti[theta];
1.209     brouard  5450:       /* gradg[theta][2]= -gradg[theta][1]; */ /* For testing if nlstate=2 */
1.126     brouard  5451:     } /* End theta */
                   5452: 
                   5453:     trgradg =matrix(1,nlstate,1,npar);
                   5454: 
                   5455:     for(j=1; j<=nlstate;j++)
                   5456:       for(theta=1; theta <=npar; theta++)
                   5457:        trgradg[j][theta]=gradg[theta][j];
1.209     brouard  5458:     /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ){ */
                   5459:     /*   printf("\nmgm mgp %d ",(int)age); */
                   5460:     /*   for(j=1; j<=nlstate;j++){ */
                   5461:     /*         printf(" %d ",j); */
                   5462:     /*         for(theta=1; theta <=npar; theta++) */
                   5463:     /*           printf(" %d %lf %lf",theta,mgm[theta][j],mgp[theta][j]); */
                   5464:     /*         printf("\n "); */
                   5465:     /*   } */
                   5466:     /* } */
                   5467:     /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ){ */
                   5468:     /*   printf("\n gradg %d ",(int)age); */
                   5469:     /*   for(j=1; j<=nlstate;j++){ */
                   5470:     /*         printf("%d ",j); */
                   5471:     /*         for(theta=1; theta <=npar; theta++) */
                   5472:     /*           printf("%d %lf ",theta,gradg[theta][j]); */
                   5473:     /*         printf("\n "); */
                   5474:     /*   } */
                   5475:     /* } */
1.126     brouard  5476: 
                   5477:     for(i=1;i<=nlstate;i++)
                   5478:       varpl[i][(int)age] =0.;
1.209     brouard  5479:     if((int)age==79 ||(int)age== 80  ||(int)age== 81){
1.205     brouard  5480:     matprod2(dnewm,trgradg,1,nlstate,1,npar,1,npar,matcov);
                   5481:     matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg);
                   5482:     }else{
1.126     brouard  5483:     matprod2(dnewm,trgradg,1,nlstate,1,npar,1,npar,matcov);
                   5484:     matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg);
1.205     brouard  5485:     }
1.126     brouard  5486:     for(i=1;i<=nlstate;i++)
                   5487:       varpl[i][(int)age] = doldm[i][i]; /* Covariances are useless */
                   5488: 
                   5489:     fprintf(ficresvpl,"%.0f ",age );
                   5490:     for(i=1; i<=nlstate;i++)
                   5491:       fprintf(ficresvpl," %.5f (%.5f)",prlim[i][i],sqrt(varpl[i][(int)age]));
                   5492:     fprintf(ficresvpl,"\n");
                   5493:     free_vector(gp,1,nlstate);
                   5494:     free_vector(gm,1,nlstate);
1.208     brouard  5495:     free_matrix(mgm,1,npar,1,nlstate);
                   5496:     free_matrix(mgp,1,npar,1,nlstate);
1.126     brouard  5497:     free_matrix(gradg,1,npar,1,nlstate);
                   5498:     free_matrix(trgradg,1,nlstate,1,npar);
                   5499:   } /* End age */
                   5500: 
                   5501:   free_vector(xp,1,npar);
                   5502:   free_matrix(doldm,1,nlstate,1,npar);
                   5503:   free_matrix(dnewm,1,nlstate,1,nlstate);
                   5504: 
                   5505: }
                   5506: 
                   5507: /************ Variance of one-step probabilities  ******************/
                   5508: 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[])
1.222     brouard  5509:  {
                   5510:    int i, j=0,  k1, l1, tj;
                   5511:    int k2, l2, j1,  z1;
                   5512:    int k=0, l;
                   5513:    int first=1, first1, first2;
                   5514:    double cv12, mu1, mu2, lc1, lc2, v12, v21, v11, v22,v1,v2, c12, tnalp;
                   5515:    double **dnewm,**doldm;
                   5516:    double *xp;
                   5517:    double *gp, *gm;
                   5518:    double **gradg, **trgradg;
                   5519:    double **mu;
                   5520:    double age, cov[NCOVMAX+1];
                   5521:    double std=2.0; /* Number of standard deviation wide of confidence ellipsoids */
                   5522:    int theta;
                   5523:    char fileresprob[FILENAMELENGTH];
                   5524:    char fileresprobcov[FILENAMELENGTH];
                   5525:    char fileresprobcor[FILENAMELENGTH];
                   5526:    double ***varpij;
                   5527: 
                   5528:    strcpy(fileresprob,"PROB_"); 
                   5529:    strcat(fileresprob,fileres);
                   5530:    if((ficresprob=fopen(fileresprob,"w"))==NULL) {
                   5531:      printf("Problem with resultfile: %s\n", fileresprob);
                   5532:      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprob);
                   5533:    }
                   5534:    strcpy(fileresprobcov,"PROBCOV_"); 
                   5535:    strcat(fileresprobcov,fileresu);
                   5536:    if((ficresprobcov=fopen(fileresprobcov,"w"))==NULL) {
                   5537:      printf("Problem with resultfile: %s\n", fileresprobcov);
                   5538:      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcov);
                   5539:    }
                   5540:    strcpy(fileresprobcor,"PROBCOR_"); 
                   5541:    strcat(fileresprobcor,fileresu);
                   5542:    if((ficresprobcor=fopen(fileresprobcor,"w"))==NULL) {
                   5543:      printf("Problem with resultfile: %s\n", fileresprobcor);
                   5544:      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcor);
                   5545:    }
                   5546:    printf("Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);
                   5547:    fprintf(ficlog,"Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);
                   5548:    printf("Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);
                   5549:    fprintf(ficlog,"Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);
                   5550:    printf("and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);
                   5551:    fprintf(ficlog,"and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);
                   5552:    pstamp(ficresprob);
                   5553:    fprintf(ficresprob,"#One-step probabilities and stand. devi in ()\n");
                   5554:    fprintf(ficresprob,"# Age");
                   5555:    pstamp(ficresprobcov);
                   5556:    fprintf(ficresprobcov,"#One-step probabilities and covariance matrix\n");
                   5557:    fprintf(ficresprobcov,"# Age");
                   5558:    pstamp(ficresprobcor);
                   5559:    fprintf(ficresprobcor,"#One-step probabilities and correlation matrix\n");
                   5560:    fprintf(ficresprobcor,"# Age");
1.126     brouard  5561: 
                   5562: 
1.222     brouard  5563:    for(i=1; i<=nlstate;i++)
                   5564:      for(j=1; j<=(nlstate+ndeath);j++){
                   5565:        fprintf(ficresprob," p%1d-%1d (SE)",i,j);
                   5566:        fprintf(ficresprobcov," p%1d-%1d ",i,j);
                   5567:        fprintf(ficresprobcor," p%1d-%1d ",i,j);
                   5568:      }  
                   5569:    /* fprintf(ficresprob,"\n");
                   5570:       fprintf(ficresprobcov,"\n");
                   5571:       fprintf(ficresprobcor,"\n");
                   5572:    */
                   5573:    xp=vector(1,npar);
                   5574:    dnewm=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);
                   5575:    doldm=matrix(1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath));
                   5576:    mu=matrix(1,(nlstate)*(nlstate+ndeath), (int) bage, (int)fage);
                   5577:    varpij=ma3x(1,nlstate*(nlstate+ndeath),1,nlstate*(nlstate+ndeath),(int) bage, (int) fage);
                   5578:    first=1;
                   5579:    fprintf(ficgp,"\n# Routine varprob");
                   5580:    fprintf(fichtm,"\n<li><h4> Computing and drawing one step probabilities with their confidence intervals</h4></li>\n");
                   5581:    fprintf(fichtm,"\n");
                   5582: 
                   5583:    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);
                   5584:    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);
                   5585:    fprintf(fichtmcov,"\nEllipsoids of confidence centered on point (p<inf>ij</inf>, p<inf>kl</inf>) are estimated \
1.126     brouard  5586: and drawn. It helps understanding how is the covariance between two incidences.\
                   5587:  They are expressed in year<sup>-1</sup> in order to be less dependent of stepm.<br>\n");
1.222     brouard  5588:    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. \
1.126     brouard  5589: It can be understood this way: if pij and pkl where uncorrelated the (2x2) matrix of covariance \
                   5590: would have been (1/(var pij), 0 , 0, 1/(var pkl)), and the confidence interval would be 2 \
                   5591: standard deviations wide on each axis. <br>\
                   5592:  Now, if both incidences are correlated (usual case) we diagonalised the inverse of the covariance matrix\
                   5593:  and made the appropriate rotation to look at the uncorrelated principal directions.<br>\
                   5594: To be simple, these graphs help to understand the significativity of each parameter in relation to a second other one.<br> \n");
                   5595: 
1.222     brouard  5596:    cov[1]=1;
                   5597:    /* tj=cptcoveff; */
1.225     brouard  5598:    tj = (int) pow(2,cptcoveff);
1.222     brouard  5599:    if (cptcovn<1) {tj=1;ncodemax[1]=1;}
                   5600:    j1=0;
1.224     brouard  5601:    for(j1=1; j1<=tj;j1++){  /* For each valid combination of covariates or only once*/
1.222     brouard  5602:      if  (cptcovn>0) {
                   5603:        fprintf(ficresprob, "\n#********** Variable "); 
1.225     brouard  5604:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprob, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.222     brouard  5605:        fprintf(ficresprob, "**********\n#\n");
                   5606:        fprintf(ficresprobcov, "\n#********** Variable "); 
1.225     brouard  5607:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcov, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.222     brouard  5608:        fprintf(ficresprobcov, "**********\n#\n");
1.220     brouard  5609:                        
1.222     brouard  5610:        fprintf(ficgp, "\n#********** Variable "); 
1.225     brouard  5611:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficgp, " V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.222     brouard  5612:        fprintf(ficgp, "**********\n#\n");
1.220     brouard  5613:                        
                   5614:                        
1.222     brouard  5615:        fprintf(fichtmcov, "\n<hr  size=\"2\" color=\"#EC5E5E\">********** Variable "); 
1.225     brouard  5616:        for (z1=1; z1<=cptcoveff; z1++) fprintf(fichtm, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.222     brouard  5617:        fprintf(fichtmcov, "**********\n<hr size=\"2\" color=\"#EC5E5E\">");
1.220     brouard  5618:                        
1.222     brouard  5619:        fprintf(ficresprobcor, "\n#********** Variable ");    
1.225     brouard  5620:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcor, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.222     brouard  5621:        fprintf(ficresprobcor, "**********\n#");    
                   5622:        if(invalidvarcomb[j1]){
                   5623:         fprintf(ficgp,"\n#Combination (%d) ignored because no cases \n",j1); 
                   5624:         fprintf(fichtmcov,"\n<h3>Combination (%d) ignored because no cases </h3>\n",j1); 
                   5625:         continue;
                   5626:        }
                   5627:      }
                   5628:      gradg=matrix(1,npar,1,(nlstate)*(nlstate+ndeath));
                   5629:      trgradg=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);
                   5630:      gp=vector(1,(nlstate)*(nlstate+ndeath));
                   5631:      gm=vector(1,(nlstate)*(nlstate+ndeath));
                   5632:      for (age=bage; age<=fage; age ++){ 
                   5633:        cov[2]=age;
                   5634:        if(nagesqr==1)
                   5635:         cov[3]= age*age;
                   5636:        for (k=1; k<=cptcovn;k++) {
                   5637:         cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(j1,k)];
                   5638:         /*cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(j1,Tvar[k])];*//* j1 1 2 3 4
                   5639:                                                                    * 1  1 1 1 1
                   5640:                                                                    * 2  2 1 1 1
                   5641:                                                                    * 3  1 2 1 1
                   5642:                                                                    */
                   5643:         /* nbcode[1][1]=0 nbcode[1][2]=1;*/
                   5644:        }
                   5645:        /* for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
                   5646:        for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
                   5647:        for (k=1; k<=cptcovprod;k++)
                   5648:         cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)]*nbcode[Tvard[k][2]][codtabm(ij,k)];
1.220     brouard  5649:                        
                   5650:                        
1.222     brouard  5651:        for(theta=1; theta <=npar; theta++){
                   5652:         for(i=1; i<=npar; i++)
                   5653:           xp[i] = x[i] + (i==theta ?delti[theta]:(double)0);
1.220     brouard  5654:                                
1.222     brouard  5655:         pmij(pmmij,cov,ncovmodel,xp,nlstate);
1.220     brouard  5656:                                
1.222     brouard  5657:         k=0;
                   5658:         for(i=1; i<= (nlstate); i++){
                   5659:           for(j=1; j<=(nlstate+ndeath);j++){
                   5660:             k=k+1;
                   5661:             gp[k]=pmmij[i][j];
                   5662:           }
                   5663:         }
1.220     brouard  5664:                                
1.222     brouard  5665:         for(i=1; i<=npar; i++)
                   5666:           xp[i] = x[i] - (i==theta ?delti[theta]:(double)0);
1.220     brouard  5667:                                
1.222     brouard  5668:         pmij(pmmij,cov,ncovmodel,xp,nlstate);
                   5669:         k=0;
                   5670:         for(i=1; i<=(nlstate); i++){
                   5671:           for(j=1; j<=(nlstate+ndeath);j++){
                   5672:             k=k+1;
                   5673:             gm[k]=pmmij[i][j];
                   5674:           }
                   5675:         }
1.220     brouard  5676:                                
1.222     brouard  5677:         for(i=1; i<= (nlstate)*(nlstate+ndeath); i++) 
                   5678:           gradg[theta][i]=(gp[i]-gm[i])/(double)2./delti[theta];  
                   5679:        }
1.126     brouard  5680: 
1.222     brouard  5681:        for(j=1; j<=(nlstate)*(nlstate+ndeath);j++)
                   5682:         for(theta=1; theta <=npar; theta++)
                   5683:           trgradg[j][theta]=gradg[theta][j];
1.220     brouard  5684:                        
1.222     brouard  5685:        matprod2(dnewm,trgradg,1,(nlstate)*(nlstate+ndeath),1,npar,1,npar,matcov); 
                   5686:        matprod2(doldm,dnewm,1,(nlstate)*(nlstate+ndeath),1,npar,1,(nlstate)*(nlstate+ndeath),gradg);
1.220     brouard  5687:                        
1.222     brouard  5688:        pmij(pmmij,cov,ncovmodel,x,nlstate);
1.220     brouard  5689:                        
1.222     brouard  5690:        k=0;
                   5691:        for(i=1; i<=(nlstate); i++){
                   5692:         for(j=1; j<=(nlstate+ndeath);j++){
                   5693:           k=k+1;
                   5694:           mu[k][(int) age]=pmmij[i][j];
                   5695:         }
                   5696:        }
                   5697:        for(i=1;i<=(nlstate)*(nlstate+ndeath);i++)
                   5698:         for(j=1;j<=(nlstate)*(nlstate+ndeath);j++)
                   5699:           varpij[i][j][(int)age] = doldm[i][j];
1.220     brouard  5700:                        
1.222     brouard  5701:        /*printf("\n%d ",(int)age);
                   5702:         for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){
                   5703:         printf("%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));
                   5704:         fprintf(ficlog,"%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));
                   5705:         }*/
1.220     brouard  5706:                        
1.222     brouard  5707:        fprintf(ficresprob,"\n%d ",(int)age);
                   5708:        fprintf(ficresprobcov,"\n%d ",(int)age);
                   5709:        fprintf(ficresprobcor,"\n%d ",(int)age);
1.220     brouard  5710:                        
1.222     brouard  5711:        for (i=1; i<=(nlstate)*(nlstate+ndeath);i++)
                   5712:         fprintf(ficresprob,"%11.3e (%11.3e) ",mu[i][(int) age],sqrt(varpij[i][i][(int)age]));
                   5713:        for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){
                   5714:         fprintf(ficresprobcov,"%11.3e ",mu[i][(int) age]);
                   5715:         fprintf(ficresprobcor,"%11.3e ",mu[i][(int) age]);
                   5716:        }
                   5717:        i=0;
                   5718:        for (k=1; k<=(nlstate);k++){
                   5719:         for (l=1; l<=(nlstate+ndeath);l++){ 
                   5720:           i++;
                   5721:           fprintf(ficresprobcov,"\n%d %d-%d",(int)age,k,l);
                   5722:           fprintf(ficresprobcor,"\n%d %d-%d",(int)age,k,l);
                   5723:           for (j=1; j<=i;j++){
                   5724:             /* printf(" k=%d l=%d i=%d j=%d\n",k,l,i,j);fflush(stdout); */
                   5725:             fprintf(ficresprobcov," %11.3e",varpij[i][j][(int)age]);
                   5726:             fprintf(ficresprobcor," %11.3e",varpij[i][j][(int) age]/sqrt(varpij[i][i][(int) age])/sqrt(varpij[j][j][(int)age]));
                   5727:           }
                   5728:         }
                   5729:        }/* end of loop for state */
                   5730:      } /* end of loop for age */
                   5731:      free_vector(gp,1,(nlstate+ndeath)*(nlstate+ndeath));
                   5732:      free_vector(gm,1,(nlstate+ndeath)*(nlstate+ndeath));
                   5733:      free_matrix(trgradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);
                   5734:      free_matrix(gradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);
                   5735:     
                   5736:      /* Confidence intervalle of pij  */
                   5737:      /*
                   5738:        fprintf(ficgp,"\nunset parametric;unset label");
                   5739:        fprintf(ficgp,"\nset log y;unset log x; set xlabel \"Age\";set ylabel \"probability (year-1)\"");
                   5740:        fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65");
                   5741:        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);
                   5742:        fprintf(fichtm,"\n<br><img src=\"pijgr%s.png\"> ",optionfilefiname);
                   5743:        fprintf(ficgp,"\nset out \"pijgr%s.png\"",optionfilefiname);
                   5744:        fprintf(ficgp,"\nplot \"%s\" every :::%d::%d u 1:2 \"\%%lf",k1,k2,xfilevarprob);
                   5745:      */
                   5746:                
                   5747:      /* Drawing ellipsoids of confidence of two variables p(k1-l1,k2-l2)*/
                   5748:      first1=1;first2=2;
                   5749:      for (k2=1; k2<=(nlstate);k2++){
                   5750:        for (l2=1; l2<=(nlstate+ndeath);l2++){ 
                   5751:         if(l2==k2) continue;
                   5752:         j=(k2-1)*(nlstate+ndeath)+l2;
                   5753:         for (k1=1; k1<=(nlstate);k1++){
                   5754:           for (l1=1; l1<=(nlstate+ndeath);l1++){ 
                   5755:             if(l1==k1) continue;
                   5756:             i=(k1-1)*(nlstate+ndeath)+l1;
                   5757:             if(i<=j) continue;
                   5758:             for (age=bage; age<=fage; age ++){ 
                   5759:               if ((int)age %5==0){
                   5760:                 v1=varpij[i][i][(int)age]/stepm*YEARM/stepm*YEARM;
                   5761:                 v2=varpij[j][j][(int)age]/stepm*YEARM/stepm*YEARM;
                   5762:                 cv12=varpij[i][j][(int)age]/stepm*YEARM/stepm*YEARM;
                   5763:                 mu1=mu[i][(int) age]/stepm*YEARM ;
                   5764:                 mu2=mu[j][(int) age]/stepm*YEARM;
                   5765:                 c12=cv12/sqrt(v1*v2);
                   5766:                 /* Computing eigen value of matrix of covariance */
                   5767:                 lc1=((v1+v2)+sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                   5768:                 lc2=((v1+v2)-sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                   5769:                 if ((lc2 <0) || (lc1 <0) ){
                   5770:                   if(first2==1){
                   5771:                     first1=0;
                   5772:                     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);
                   5773:                   }
                   5774:                   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);
                   5775:                   /* lc1=fabs(lc1); */ /* If we want to have them positive */
                   5776:                   /* lc2=fabs(lc2); */
                   5777:                 }
1.220     brouard  5778:                                                                
1.222     brouard  5779:                 /* Eigen vectors */
                   5780:                 v11=(1./sqrt(1+(v1-lc1)*(v1-lc1)/cv12/cv12));
                   5781:                 /*v21=sqrt(1.-v11*v11); *//* error */
                   5782:                 v21=(lc1-v1)/cv12*v11;
                   5783:                 v12=-v21;
                   5784:                 v22=v11;
                   5785:                 tnalp=v21/v11;
                   5786:                 if(first1==1){
                   5787:                   first1=0;
                   5788:                   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);
                   5789:                 }
                   5790:                 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);
                   5791:                 /*printf(fignu*/
                   5792:                 /* mu1+ v11*lc1*cost + v12*lc2*sin(t) */
                   5793:                 /* mu2+ v21*lc1*cost + v22*lc2*sin(t) */
                   5794:                 if(first==1){
                   5795:                   first=0;
                   5796:                   fprintf(ficgp,"\n# Ellipsoids of confidence\n#\n");
                   5797:                   fprintf(ficgp,"\nset parametric;unset label");
                   5798:                   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);
                   5799:                   fprintf(ficgp,"\nset ter svg size 640, 480");
                   5800:                   fprintf(fichtmcov,"\n<br>Ellipsoids of confidence cov(p%1d%1d,p%1d%1d) expressed in year<sup>-1</sup>\
1.220     brouard  5801:  :<a href=\"%s_%d%1d%1d-%1d%1d.svg\">                                                                                                                                          \
1.201     brouard  5802: %s_%d%1d%1d-%1d%1d.svg</A>, ",k1,l1,k2,l2,\
1.222     brouard  5803:                           subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2,      \
                   5804:                           subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
                   5805:                   fprintf(fichtmcov,"\n<br><img src=\"%s_%d%1d%1d-%1d%1d.svg\"> ",subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
                   5806:                   fprintf(fichtmcov,"\n<br> Correlation at age %d (%.3f),",(int) age, c12);
                   5807:                   fprintf(ficgp,"\nset out \"%s_%d%1d%1d-%1d%1d.svg\"",subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
                   5808:                   fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);
                   5809:                   fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);
                   5810:                   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",      \
                   5811:                           mu1,std,v11,sqrt(lc1),v12,sqrt(lc2),                                                                         \
                   5812:                           mu2,std,v21,sqrt(lc1),v22,sqrt(lc2));
                   5813:                 }else{
                   5814:                   first=0;
                   5815:                   fprintf(fichtmcov," %d (%.3f),",(int) age, c12);
                   5816:                   fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);
                   5817:                   fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);
                   5818:                   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", \
                   5819:                           mu1,std,v11,sqrt(lc1),v12,sqrt(lc2),                                 \
                   5820:                           mu2,std,v21,sqrt(lc1),v22,sqrt(lc2));
                   5821:                 }/* if first */
                   5822:               } /* age mod 5 */
                   5823:             } /* end loop age */
                   5824:             fprintf(ficgp,"\nset out;\nset out \"%s_%d%1d%1d-%1d%1d.svg\";replot;set out;",subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
                   5825:             first=1;
                   5826:           } /*l12 */
                   5827:         } /* k12 */
                   5828:        } /*l1 */
                   5829:      }/* k1 */
                   5830:    }  /* loop on combination of covariates j1 */
                   5831:    free_ma3x(varpij,1,nlstate,1,nlstate+ndeath,(int) bage, (int)fage);
                   5832:    free_matrix(mu,1,(nlstate+ndeath)*(nlstate+ndeath),(int) bage, (int)fage);
                   5833:    free_matrix(doldm,1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath));
                   5834:    free_matrix(dnewm,1,(nlstate)*(nlstate+ndeath),1,npar);
                   5835:    free_vector(xp,1,npar);
                   5836:    fclose(ficresprob);
                   5837:    fclose(ficresprobcov);
                   5838:    fclose(ficresprobcor);
                   5839:    fflush(ficgp);
                   5840:    fflush(fichtmcov);
                   5841:  }
1.126     brouard  5842: 
                   5843: 
                   5844: /******************* Printing html file ***********/
1.201     brouard  5845: void printinghtml(char fileresu[], char title[], char datafile[], int firstpass, \
1.126     brouard  5846:                  int lastpass, int stepm, int weightopt, char model[],\
                   5847:                  int imx,int jmin, int jmax, double jmeanint,char rfileres[],\
1.217     brouard  5848:                  int popforecast, int prevfcast, int backcast, int estepm , \
1.213     brouard  5849:                  double jprev1, double mprev1,double anprev1, double dateprev1, \
                   5850:                  double jprev2, double mprev2,double anprev2, double dateprev2){
1.126     brouard  5851:   int jj1, k1, i1, cpt;
                   5852: 
                   5853:    fprintf(fichtm,"<ul><li><a href='#firstorder'>Result files (first order: no variance)</a>\n \
                   5854:    <li><a href='#secondorder'>Result files (second order (variance)</a>\n \
                   5855: </ul>");
1.214     brouard  5856:    fprintf(fichtm,"<ul><li><h4><a name='firstorder'>Result files (first order: no variance)</a></h4>\n");
                   5857:    fprintf(fichtm,"<li>- Observed frequency between two states (during the period defined between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf): <a href=\"%s\">%s</a> (html file)<br/>\n",
                   5858:           jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,subdirfext3(optionfilefiname,"PHTMFR_",".htm"),subdirfext3(optionfilefiname,"PHTMFR_",".htm"));
                   5859:    fprintf(fichtm,"<li> - Observed prevalence in each state (during the period defined between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf): <a href=\"%s\">%s</a> (html file) ",
1.213     brouard  5860:           jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,subdirfext3(optionfilefiname,"PHTM_",".htm"),subdirfext3(optionfilefiname,"PHTM_",".htm"));
                   5861:    fprintf(fichtm,",  <a href=\"%s\">%s</a> (text file) <br>\n",subdirf2(fileresu,"P_"),subdirf2(fileresu,"P_"));
1.126     brouard  5862:    fprintf(fichtm,"\
                   5863:  - Estimated transition probabilities over %d (stepm) months: <a href=\"%s\">%s</a><br>\n ",
1.201     brouard  5864:           stepm,subdirf2(fileresu,"PIJ_"),subdirf2(fileresu,"PIJ_"));
1.126     brouard  5865:    fprintf(fichtm,"\
1.217     brouard  5866:  - Estimated back transition probabilities over %d (stepm) months: <a href=\"%s\">%s</a><br>\n ",
                   5867:           stepm,subdirf2(fileresu,"PIJB_"),subdirf2(fileresu,"PIJB_"));
                   5868:    fprintf(fichtm,"\
1.126     brouard  5869:  - Period (stable) prevalence in each health state: <a href=\"%s\">%s</a> <br>\n",
1.201     brouard  5870:           subdirf2(fileresu,"PL_"),subdirf2(fileresu,"PL_"));
1.126     brouard  5871:    fprintf(fichtm,"\
1.217     brouard  5872:  - Period (stable) back prevalence in each health state: <a href=\"%s\">%s</a> <br>\n",
                   5873:           subdirf2(fileresu,"PLB_"),subdirf2(fileresu,"PLB_"));
                   5874:    fprintf(fichtm,"\
1.211     brouard  5875:  - (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  5876:    <a href=\"%s\">%s</a> <br>\n",
1.201     brouard  5877:           estepm,subdirf2(fileresu,"E_"),subdirf2(fileresu,"E_"));
1.211     brouard  5878:    if(prevfcast==1){
                   5879:      fprintf(fichtm,"\
                   5880:  - Prevalence projections by age and states:                           \
1.201     brouard  5881:    <a href=\"%s\">%s</a> <br>\n</li>", subdirf2(fileresu,"F_"),subdirf2(fileresu,"F_"));
1.211     brouard  5882:    }
1.126     brouard  5883: 
1.222     brouard  5884:    fprintf(fichtm," \n<ul><li><b>Graphs</b></li><p>");
1.126     brouard  5885: 
1.225     brouard  5886:    m=pow(2,cptcoveff);
1.222     brouard  5887:    if (cptcovn < 1) {m=1;ncodemax[1]=1;}
1.126     brouard  5888: 
1.222     brouard  5889:    jj1=0;
                   5890:    for(k1=1; k1<=m;k1++){
1.220     brouard  5891: 
1.222     brouard  5892:      /* for(i1=1; i1<=ncodemax[k1];i1++){ */
                   5893:      jj1++;
                   5894:      if (cptcovn > 0) {
                   5895:        fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");
1.225     brouard  5896:        for (cpt=1; cpt<=cptcoveff;cpt++){ 
1.222     brouard  5897:         fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]);
                   5898:         printf(" V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]);fflush(stdout);
                   5899:        }
                   5900:        fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");
                   5901:        if(invalidvarcomb[k1]){
                   5902:         fprintf(fichtm,"\n<h3>Combination (%d) ignored because no cases </h3>\n",k1); 
                   5903:         printf("\nCombination (%d) ignored because no cases \n",k1); 
                   5904:         continue;
                   5905:        }
                   5906:      }
                   5907:      /* aij, bij */
                   5908:      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> \
1.211     brouard  5909: <img src=\"%s_%d-1.svg\">",model,subdirf2(optionfilefiname,"PE_"),jj1,subdirf2(optionfilefiname,"PE_"),jj1,subdirf2(optionfilefiname,"PE_"),jj1);
1.222     brouard  5910:      /* Pij */
                   5911:      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  5912: <img src=\"%s_%d-2.svg\">",stepm,subdirf2(optionfilefiname,"PE_"),jj1,subdirf2(optionfilefiname,"PE_"),jj1,subdirf2(optionfilefiname,"PE_"),jj1);     
1.222     brouard  5913:      /* Quasi-incidences */
                   5914:      fprintf(fichtm,"<br>\n- I<sub>ij</sub> or Conditional probabilities to be observed in state j being in state i %d (stepm) months\
1.220     brouard  5915:  before but expressed in per year i.e. quasi incidences if stepm is small and probabilities too, \
1.211     brouard  5916:  incidence (rates) are the limit when h tends to zero of the ratio of the probability  <sub>h</sub>P<sub>ij</sub> \
                   5917: 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  5918: <img src=\"%s_%d-3.svg\">",stepm,subdirf2(optionfilefiname,"PE_"),jj1,subdirf2(optionfilefiname,"PE_"),jj1,subdirf2(optionfilefiname,"PE_"),jj1); 
1.222     brouard  5919:      /* Survival functions (period) in state j */
                   5920:      for(cpt=1; cpt<=nlstate;cpt++){
                   5921:        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> \
1.201     brouard  5922: <img src=\"%s_%d-%d.svg\">", cpt, cpt, nlstate, subdirf2(optionfilefiname,"LIJ_"),cpt,jj1,subdirf2(optionfilefiname,"LIJ_"),cpt,jj1,subdirf2(optionfilefiname,"LIJ_"),cpt,jj1);
1.222     brouard  5923:      }
                   5924:      /* State specific survival functions (period) */
                   5925:      for(cpt=1; cpt<=nlstate;cpt++){
                   5926:        fprintf(fichtm,"<br>\n- Survival functions from state %d in each live state and total.\
1.220     brouard  5927:  Or probability to survive in various states (1 to %d) being in state %d at different ages.    \
1.201     brouard  5928:  <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);
1.222     brouard  5929:      }
                   5930:      /* Period (stable) prevalence in each health state */
                   5931:      for(cpt=1; cpt<=nlstate;cpt++){
                   5932:        fprintf(fichtm,"<br>\n- Convergence to period (stable) prevalence in state %d. Or probability to be in state %d being in state (1 to %d) at different ages. <a href=\"%s_%d-%d.svg\">%s_%d-%d.svg</a><br> \
1.201     brouard  5933: <img src=\"%s_%d-%d.svg\">", cpt, cpt, nlstate, subdirf2(optionfilefiname,"P_"),cpt,jj1,subdirf2(optionfilefiname,"P_"),cpt,jj1,subdirf2(optionfilefiname,"P_"),cpt,jj1);
1.222     brouard  5934:      }
                   5935:      if(backcast==1){
                   5936:        /* Period (stable) back prevalence in each health state */
                   5937:        for(cpt=1; cpt<=nlstate;cpt++){
                   5938:         fprintf(fichtm,"<br>\n- Convergence to period (stable) back prevalence in state %d. Or probability to be in state %d being in state (1 to %d) at different ages. <a href=\"%s_%d-%d.svg\">%s_%d-%d.svg</a><br> \
1.217     brouard  5939: <img src=\"%s_%d-%d.svg\">", cpt, cpt, nlstate, subdirf2(optionfilefiname,"PB_"),cpt,jj1,subdirf2(optionfilefiname,"PB_"),cpt,jj1,subdirf2(optionfilefiname,"PB_"),cpt,jj1);
1.222     brouard  5940:        }
1.217     brouard  5941:      }
1.222     brouard  5942:      if(prevfcast==1){
                   5943:        /* Projection of prevalence up to period (stable) prevalence in each health state */
                   5944:        for(cpt=1; cpt<=nlstate;cpt++){
                   5945:         fprintf(fichtm,"<br>\n- Projection of cross-sectional prevalence (estimated with cases observed from %.1f to %.1f) up to period (stable) prevalence in state %d. Or probability to be in state %d being in state (1 to %d) at different ages. <a href=\"%s%d_%d.svg\">%s%d_%d.svg</a><br> \
1.213     brouard  5946: <img src=\"%s_%d-%d.svg\">", dateprev1, dateprev2, cpt, cpt, nlstate, subdirf2(optionfilefiname,"PROJ_"),cpt,jj1,subdirf2(optionfilefiname,"PROJ_"),cpt,jj1,subdirf2(optionfilefiname,"PROJ_"),cpt,jj1);
1.222     brouard  5947:        }
                   5948:      }
1.220     brouard  5949:         
1.222     brouard  5950:      for(cpt=1; cpt<=nlstate;cpt++) {
                   5951:        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  5952: <img src=\"%s_%d%d.svg\">",cpt,nlstate,subdirf2(optionfilefiname,"EXP_"),cpt,jj1,subdirf2(optionfilefiname,"EXP_"),cpt,jj1,subdirf2(optionfilefiname,"EXP_"),cpt,jj1);
1.222     brouard  5953:      }
                   5954:      /* } /\* end i1 *\/ */
                   5955:    }/* End k1 */
                   5956:    fprintf(fichtm,"</ul>");
1.126     brouard  5957: 
1.222     brouard  5958:    fprintf(fichtm,"\
1.126     brouard  5959: \n<br><li><h4> <a name='secondorder'>Result files (second order: variances)</a></h4>\n\
1.193     brouard  5960:  - Parameter file with estimated parameters and covariance matrix: <a href=\"%s\">%s</a> <br> \
1.203     brouard  5961:  - 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  5962: But because parameters are usually highly correlated (a higher incidence of disability \
                   5963: and a higher incidence of recovery can give very close observed transition) it might \
                   5964: be very useful to look not only at linear confidence intervals estimated from the \
                   5965: variances but at the covariance matrix. And instead of looking at the estimated coefficients \
                   5966: (parameters) of the logistic regression, it might be more meaningful to visualize the \
                   5967: covariance matrix of the one-step probabilities. \
                   5968: See page 'Matrix of variance-covariance of one-step probabilities' below. \n", rfileres,rfileres);
1.126     brouard  5969: 
1.222     brouard  5970:    fprintf(fichtm," - Standard deviation of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
                   5971:           subdirf2(fileresu,"PROB_"),subdirf2(fileresu,"PROB_"));
                   5972:    fprintf(fichtm,"\
1.126     brouard  5973:  - Variance-covariance of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
1.222     brouard  5974:           subdirf2(fileresu,"PROBCOV_"),subdirf2(fileresu,"PROBCOV_"));
1.126     brouard  5975: 
1.222     brouard  5976:    fprintf(fichtm,"\
1.126     brouard  5977:  - Correlation matrix of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
1.222     brouard  5978:           subdirf2(fileresu,"PROBCOR_"),subdirf2(fileresu,"PROBCOR_"));
                   5979:    fprintf(fichtm,"\
1.126     brouard  5980:  - 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): \
                   5981:    <a href=\"%s\">%s</a> <br>\n</li>",
1.201     brouard  5982:           estepm,subdirf2(fileresu,"CVE_"),subdirf2(fileresu,"CVE_"));
1.222     brouard  5983:    fprintf(fichtm,"\
1.126     brouard  5984:  - (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): \
                   5985:    <a href=\"%s\">%s</a> <br>\n</li>",
1.201     brouard  5986:           estepm,subdirf2(fileresu,"STDE_"),subdirf2(fileresu,"STDE_"));
1.222     brouard  5987:    fprintf(fichtm,"\
1.128     brouard  5988:  - 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",
1.222     brouard  5989:           estepm, subdirf2(fileresu,"V_"),subdirf2(fileresu,"V_"));
                   5990:    fprintf(fichtm,"\
1.128     brouard  5991:  - 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",
1.222     brouard  5992:           estepm, subdirf2(fileresu,"T_"),subdirf2(fileresu,"T_"));
                   5993:    fprintf(fichtm,"\
1.126     brouard  5994:  - Standard deviation of period (stable) prevalences: <a href=\"%s\">%s</a> <br>\n",\
1.222     brouard  5995:           subdirf2(fileresu,"VPL_"),subdirf2(fileresu,"VPL_"));
1.126     brouard  5996: 
                   5997: /*  if(popforecast==1) fprintf(fichtm,"\n */
                   5998: /*  - Prevalences forecasting: <a href=\"f%s\">f%s</a> <br>\n */
                   5999: /*  - Population forecasting (if popforecast=1): <a href=\"pop%s\">pop%s</a> <br>\n */
                   6000: /*     <br>",fileres,fileres,fileres,fileres); */
                   6001: /*  else  */
                   6002: /*    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); */
1.222     brouard  6003:    fflush(fichtm);
                   6004:    fprintf(fichtm," <ul><li><b>Graphs</b></li><p>");
1.126     brouard  6005: 
1.225     brouard  6006:    m=pow(2,cptcoveff);
1.222     brouard  6007:    if (cptcovn < 1) {m=1;ncodemax[1]=1;}
1.126     brouard  6008: 
1.222     brouard  6009:    jj1=0;
                   6010:    for(k1=1; k1<=m;k1++){
                   6011:      /* for(i1=1; i1<=ncodemax[k1];i1++){ */
                   6012:      jj1++;
1.126     brouard  6013:      if (cptcovn > 0) {
                   6014:        fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");
1.225     brouard  6015:        for (cpt=1; cpt<=cptcoveff;cpt++)  /**< cptcoveff number of variables */
1.222     brouard  6016:         fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]);
1.126     brouard  6017:        fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");
1.220     brouard  6018: 
1.222     brouard  6019:        if(invalidvarcomb[k1]){
                   6020:         fprintf(fichtm,"\n<h4>Combination (%d) ignored because no cases </h4>\n",k1); 
                   6021:         continue;
                   6022:        }
1.126     brouard  6023:      }
                   6024:      for(cpt=1; cpt<=nlstate;cpt++) {
1.218     brouard  6025:        fprintf(fichtm,"\n<br>- Observed (cross-sectional) and period (incidence based) \
                   6026: prevalence (with 95%% confidence interval) in state (%d): <a href=\"%s_%d-%d.svg\"> %s_%d-%d.svg</a>\n <br>\
1.205     brouard  6027: <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  6028:      }
                   6029:      fprintf(fichtm,"\n<br>- Total life expectancy by age and \
1.128     brouard  6030: health expectancies in states (1) and (2). If popbased=1 the smooth (due to the model) \
                   6031: true period expectancies (those weighted with period prevalences are also\
                   6032:  drawn in addition to the population based expectancies computed using\
1.218     brouard  6033:  observed and cahotic prevalences:  <a href=\"%s_%d.svg\">%s_%d.svg</a>\n<br>\
1.205     brouard  6034: <img src=\"%s_%d.svg\">",subdirf2(optionfilefiname,"E_"),jj1,subdirf2(optionfilefiname,"E_"),jj1,subdirf2(optionfilefiname,"E_"),jj1);
1.222     brouard  6035:      /* } /\* end i1 *\/ */
                   6036:    }/* End k1 */
                   6037:    fprintf(fichtm,"</ul>");
                   6038:    fflush(fichtm);
1.126     brouard  6039: }
                   6040: 
                   6041: /******************* Gnuplot file **************/
1.223     brouard  6042: void printinggnuplot(char fileresu[], char optionfilefiname[], double ageminpar, double agemaxpar, double fage , int prevfcast, int backcast, char pathc[], double p[]){
1.126     brouard  6043: 
                   6044:   char dirfileres[132],optfileres[132];
1.223     brouard  6045:   char gplotcondition[132];
1.164     brouard  6046:   int cpt=0,k1=0,i=0,k=0,j=0,jk=0,k2=0,k3=0,ij=0,l=0;
1.211     brouard  6047:   int lv=0, vlv=0, kl=0;
1.130     brouard  6048:   int ng=0;
1.201     brouard  6049:   int vpopbased;
1.223     brouard  6050:   int ioffset; /* variable offset for columns */
1.219     brouard  6051: 
1.126     brouard  6052: /*   if((ficgp=fopen(optionfilegnuplot,"a"))==NULL) { */
                   6053: /*     printf("Problem with file %s",optionfilegnuplot); */
                   6054: /*     fprintf(ficlog,"Problem with file %s",optionfilegnuplot); */
                   6055: /*   } */
                   6056: 
                   6057:   /*#ifdef windows */
                   6058:   fprintf(ficgp,"cd \"%s\" \n",pathc);
1.223     brouard  6059:   /*#endif */
1.225     brouard  6060:   m=pow(2,cptcoveff);
1.126     brouard  6061: 
1.202     brouard  6062:   /* Contribution to likelihood */
                   6063:   /* Plot the probability implied in the likelihood */
1.223     brouard  6064:   fprintf(ficgp,"\n# Contributions to the Likelihood, mle >=1. For mle=4 no interpolation, pure matrix products.\n#\n");
                   6065:   fprintf(ficgp,"\n set log y; unset log x;set xlabel \"Age\"; set ylabel \"Likelihood (-2Log(L))\";");
                   6066:   /* fprintf(ficgp,"\nset ter svg size 640, 480"); */ /* Too big for svg */
                   6067:   fprintf(ficgp,"\nset ter pngcairo size 640, 480");
1.204     brouard  6068: /* nice for mle=4 plot by number of matrix products.
1.202     brouard  6069:    replot  "rrtest1/toto.txt" u 2:($4 == 1 && $5==2 ? $9 : 1/0):5 t "p12" with point lc 1 */
                   6070: /* replot exp(p1+p2*x)/(1+exp(p1+p2*x)+exp(p3+p4*x)+exp(p5+p6*x)) t "p12(x)"  */
1.223     brouard  6071:   /* fprintf(ficgp,"\nset out \"%s.svg\";",subdirf2(optionfilefiname,"ILK_")); */
                   6072:   fprintf(ficgp,"\nset out \"%s-dest.png\";",subdirf2(optionfilefiname,"ILK_"));
                   6073:   fprintf(ficgp,"\nset log y;plot  \"%s\" u 2:(-$13):6 t \"All sample, transitions colored by destination\" with dots lc variable; set out;\n",subdirf(fileresilk));
                   6074:   fprintf(ficgp,"\nset out \"%s-ori.png\";",subdirf2(optionfilefiname,"ILK_"));
                   6075:   fprintf(ficgp,"\nset log y;plot  \"%s\" u 2:(-$13):5 t \"All sample, transitions colored by origin\" with dots lc variable; set out;\n\n",subdirf(fileresilk));
                   6076:   for (i=1; i<= nlstate ; i ++) {
                   6077:     fprintf(ficgp,"\nset out \"%s-p%dj.png\";set ylabel \"Probability for each individual/wave\";",subdirf2(optionfilefiname,"ILK_"),i);
                   6078:     fprintf(ficgp,"unset log;\n# plot weighted, mean weight should have point size of 0.5\n plot  \"%s\"",subdirf(fileresilk));
                   6079:     fprintf(ficgp,"  u  2:($5 == %d && $6==%d ? $10 : 1/0):($12/4.):6 t \"p%d%d\" with points pointtype 7 ps variable lc variable \\\n",i,1,i,1);
                   6080:     for (j=2; j<= nlstate+ndeath ; j ++) {
                   6081:       fprintf(ficgp,",\\\n \"\" u  2:($5 == %d && $6==%d ? $10 : 1/0):($12/4.):6 t \"p%d%d\" with points pointtype 7 ps variable lc variable ",i,j,i,j);
                   6082:     }
                   6083:     fprintf(ficgp,";\nset out; unset ylabel;\n"); 
                   6084:   }
                   6085:   /* 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 */               
                   6086:   /* fprintf(ficgp,"\nset log y;plot  \"%s\" u 2:(-$11):3 t \"All sample, all transitions\" with dots lc variable",subdirf(fileresilk)); */
                   6087:   /* fprintf(ficgp,"\nreplot  \"%s\" u 2:($3 <= 3 ? -$11 : 1/0):3 t \"First 3 individuals\" with line lc variable", subdirf(fileresilk)); */
                   6088:   fprintf(ficgp,"\nset out;unset log\n");
                   6089:   /* fprintf(ficgp,"\nset out \"%s.svg\"; replot; set out; # bug gnuplot",subdirf2(optionfilefiname,"ILK_")); */
1.202     brouard  6090: 
1.126     brouard  6091:   strcpy(dirfileres,optionfilefiname);
                   6092:   strcpy(optfileres,"vpl");
1.223     brouard  6093:   /* 1eme*/
1.211     brouard  6094:   for (cpt=1; cpt<= nlstate ; cpt ++) { /* For each live state */
1.220     brouard  6095:     for (k1=1; k1<= m ; k1 ++) { /* For each valid combination of covariate */
1.211     brouard  6096:       /* plot [100000000000000000000:-100000000000000000000] "mysbiaspar/vplrmysbiaspar.txt to check */
                   6097:       fprintf(ficgp,"\n# 1st: Period (stable) prevalence with CI: 'VPL_' files ");
1.225     brouard  6098:       for (k=1; k<=cptcoveff; k++){    /* For each covariate k get corresponding value lv for combination k1 */
                   6099:        lv= decodtabm(k1,k,cptcoveff); /* Should be the value of the covariate corresponding to k1 combination */
1.223     brouard  6100:        /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   6101:        /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   6102:        /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   6103:        vlv= nbcode[Tvaraff[k]][lv]; /* vlv is the value of the covariate lv, 0 or 1 */
                   6104:        /* For each combination of covariate k1 (V1=1, V3=0), we printed the current covariate k and its value vlv */
                   6105:        fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.211     brouard  6106:       }
                   6107:       fprintf(ficgp,"\n#\n");
1.223     brouard  6108:       if(invalidvarcomb[k1]){
                   6109:        fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   6110:        continue;
                   6111:       }
1.211     brouard  6112: 
1.223     brouard  6113:       fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" \n",subdirf2(optionfilefiname,"V_"),cpt,k1);
                   6114:       fprintf(ficgp,"\n#set out \"V_%s_%d-%d.svg\" \n",optionfilefiname,cpt,k1);
                   6115:       fprintf(ficgp,"set xlabel \"Age\" \n\
1.219     brouard  6116: set ylabel \"Probability\" \n  \
                   6117: set ter svg size 640, 480\n    \
1.201     brouard  6118: plot [%.f:%.f] \"%s\" every :::%d::%d u 1:2 \"%%lf",ageminpar,fage,subdirf2(fileresu,"VPL_"),k1-1,k1-1);
1.219     brouard  6119:                        
1.223     brouard  6120:       for (i=1; i<= nlstate ; i ++) {
                   6121:        if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   6122:        else        fprintf(ficgp," %%*lf (%%*lf)");
                   6123:       }
                   6124:       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);
                   6125:       for (i=1; i<= nlstate ; i ++) {
                   6126:        if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   6127:        else fprintf(ficgp," %%*lf (%%*lf)");
                   6128:       } 
                   6129:       fprintf(ficgp,"\" t\"95%% CI\" w l lt 1,\"%s\" every :::%d::%d u 1:($2-1.96*$3) \"%%lf",subdirf2(fileresu,"VPL_"),k1-1,k1-1); 
                   6130:       for (i=1; i<= nlstate ; i ++) {
                   6131:        if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   6132:        else fprintf(ficgp," %%*lf (%%*lf)");
                   6133:       }  
                   6134:       fprintf(ficgp,"\" t\"\" w l lt 1,\"%s\" every :::%d::%d u 1:($%d) t\"Observed prevalence\" w l lt 2",subdirf2(fileresu,"P_"),k1-1,k1-1,2+4*(cpt-1));
                   6135:       if(backcast==1){ /* We need to get the corresponding values of the covariates involved in this combination k1 */
                   6136:        /* fprintf(ficgp,",\"%s\" every :::%d::%d u 1:($%d) t\"Backward stable prevalence\" w l lt 3",subdirf2(fileresu,"PLB_"),k1-1,k1-1,1+cpt); */
                   6137:        fprintf(ficgp,",\"%s\" u 1:((",subdirf2(fileresu,"PLB_")); /* Age is in 1 */
1.225     brouard  6138:        if(cptcoveff ==0){
1.223     brouard  6139:          fprintf(ficgp,"$%d)) t 'Backward prevalence in state %d' with line ",  2+(cpt-1),  cpt );
                   6140:        }else{
                   6141:          kl=0;
1.225     brouard  6142:          for (k=1; k<=cptcoveff; k++){    /* For each combination of covariate  */
                   6143:            lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to k1 combination and kth covariate */
1.223     brouard  6144:            /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   6145:            /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   6146:            /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   6147:            vlv= nbcode[Tvaraff[k]][lv];
                   6148:            kl++;
                   6149:            /* 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 *\/ */
                   6150:            /*6+(cpt-1)*(nlstate+1)+1+(i-1)+(nlstate+1)*nlstate; 6+(1-1)*(2+1)+1+(1-1) +(2+1)*2=13 */ 
                   6151:            /*6+1+(i-1)+(nlstate+1)*nlstate; 6+1+(1-1) +(2+1)*2=13 */ 
                   6152:            /* ''  u 6:(($1==1 && $2==0 && $3==2 && $4==0)? $9/(1.-$15) : 1/0):($5==2000? 3:2) t 'p.1' with line lc variable*/
1.225     brouard  6153:            if(k==cptcoveff){
1.227     brouard  6154:              fprintf(ficgp,"$%d==%d && $%d==%d)? $%d : 1/0) t 'Backward prevalence in state %d' ",kl+1, Tvaraff[k],kl+1+1,nbcode[Tvaraff[k]][lv], \
                   6155:                      4+(cpt-1),  cpt );  /* 4 or 6 ?*/
1.223     brouard  6156:            }else{
                   6157:              fprintf(ficgp,"$%d==%d && $%d==%d && ",kl+1, Tvaraff[k],kl+1+1,nbcode[Tvaraff[k]][lv]);
                   6158:              kl++;
                   6159:            }
                   6160:          } /* end covariate */
                   6161:        } /* end if no covariate */
                   6162:       } /* end if backcast */
                   6163:       fprintf(ficgp,"\nset out \n");
1.201     brouard  6164:     } /* k1 */
                   6165:   } /* cpt */
1.126     brouard  6166:   /*2 eme*/
                   6167:   for (k1=1; k1<= m ; k1 ++) { 
1.220     brouard  6168: 
1.223     brouard  6169:     fprintf(ficgp,"\n# 2nd: Total life expectancy with CI: 't' files ");
1.225     brouard  6170:     for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
                   6171:       lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
1.223     brouard  6172:       /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   6173:       /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   6174:       /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   6175:       vlv= nbcode[Tvaraff[k]][lv];
                   6176:       fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
                   6177:     }
                   6178:     fprintf(ficgp,"\n#\n");
                   6179:     if(invalidvarcomb[k1]){
                   6180:       fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   6181:       continue;
                   6182:     }
1.219     brouard  6183:                        
1.223     brouard  6184:     fprintf(ficgp,"\nset out \"%s_%d.svg\" \n",subdirf2(optionfilefiname,"E_"),k1);
                   6185:     for(vpopbased=0; vpopbased <= popbased; vpopbased++){ /* Done for vpopbased=0 and vpopbased=1 if popbased==1*/
                   6186:       if(vpopbased==0)
                   6187:        fprintf(ficgp,"set ylabel \"Years\" \nset ter svg size 640, 480\nplot [%.f:%.f] ",ageminpar,fage);
                   6188:       else
                   6189:        fprintf(ficgp,"\nreplot ");
                   6190:       for (i=1; i<= nlstate+1 ; i ++) {
                   6191:        k=2*i;
                   6192:        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);
                   6193:        for (j=1; j<= nlstate+1 ; j ++) {
                   6194:          if (j==i) fprintf(ficgp," %%lf (%%lf)");
                   6195:          else fprintf(ficgp," %%*lf (%%*lf)");
                   6196:        }   
                   6197:        if (i== 1) fprintf(ficgp,"\" t\"TLE\" w l lt %d, \\\n",i);
                   6198:        else fprintf(ficgp,"\" t\"LE in state (%d)\" w l lt %d, \\\n",i-1,i+1);
                   6199:        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);
                   6200:        for (j=1; j<= nlstate+1 ; j ++) {
                   6201:          if (j==i) fprintf(ficgp," %%lf (%%lf)");
                   6202:          else fprintf(ficgp," %%*lf (%%*lf)");
                   6203:        }   
                   6204:        fprintf(ficgp,"\" t\"\" w l lt 0,");
                   6205:        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);
                   6206:        for (j=1; j<= nlstate+1 ; j ++) {
                   6207:          if (j==i) fprintf(ficgp," %%lf (%%lf)");
                   6208:          else fprintf(ficgp," %%*lf (%%*lf)");
                   6209:        }   
                   6210:        if (i== (nlstate+1)) fprintf(ficgp,"\" t\"\" w l lt 0");
                   6211:        else fprintf(ficgp,"\" t\"\" w l lt 0,\\\n");
                   6212:       } /* state */
                   6213:     } /* vpopbased */
                   6214:     fprintf(ficgp,"\nset out;set out \"%s_%d.svg\"; replot; set out; \n",subdirf2(optionfilefiname,"E_"),k1); /* Buggy gnuplot */
1.201     brouard  6215:   } /* k1 */
1.219     brouard  6216:        
                   6217:        
1.126     brouard  6218:   /*3eme*/
                   6219:   for (k1=1; k1<= m ; k1 ++) { 
1.220     brouard  6220: 
1.126     brouard  6221:     for (cpt=1; cpt<= nlstate ; cpt ++) {
1.211     brouard  6222:       fprintf(ficgp,"\n# 3d: Life expectancy with EXP_ files:  cov=%d state=%d",k1, cpt);
1.225     brouard  6223:       for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
                   6224:        lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
1.223     brouard  6225:        /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   6226:        /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   6227:        /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   6228:        vlv= nbcode[Tvaraff[k]][lv];
                   6229:        fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.211     brouard  6230:       }
                   6231:       fprintf(ficgp,"\n#\n");
1.223     brouard  6232:       if(invalidvarcomb[k1]){
                   6233:        fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   6234:        continue;
                   6235:       }
1.219     brouard  6236:                        
1.126     brouard  6237:       /*       k=2+nlstate*(2*cpt-2); */
                   6238:       k=2+(nlstate+1)*(cpt-1);
1.201     brouard  6239:       fprintf(ficgp,"\nset out \"%s_%d%d.svg\" \n",subdirf2(optionfilefiname,"EXP_"),cpt,k1);
1.199     brouard  6240:       fprintf(ficgp,"set ter svg size 640, 480\n\
1.201     brouard  6241: 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  6242:       /*fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d-2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);
1.223     brouard  6243:        for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");
                   6244:        fprintf(ficgp,"\" t \"e%d1\" w l",cpt);
                   6245:        fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d+2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);
                   6246:        for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");
                   6247:        fprintf(ficgp,"\" t \"e%d1\" w l",cpt);
1.219     brouard  6248:                                
1.126     brouard  6249:       */
                   6250:       for (i=1; i< nlstate ; i ++) {
1.223     brouard  6251:        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);
                   6252:        /*      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);*/
1.219     brouard  6253:                                
1.126     brouard  6254:       } 
1.201     brouard  6255:       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  6256:     }
                   6257:   }
                   6258:   
1.223     brouard  6259:   /* 4eme */
1.201     brouard  6260:   /* Survival functions (period) from state i in state j by initial state i */
                   6261:   for (k1=1; k1<= m ; k1 ++) { /* For each multivariate if any */
1.220     brouard  6262: 
1.201     brouard  6263:     for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state */
1.211     brouard  6264:       fprintf(ficgp,"\n#\n#\n# Survival functions in state j : 'LIJ_' files, cov=%d state=%d",k1, cpt);
1.225     brouard  6265:       for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
                   6266:        lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
1.223     brouard  6267:        /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   6268:        /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   6269:        /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   6270:        vlv= nbcode[Tvaraff[k]][lv];
                   6271:        fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.211     brouard  6272:       }
                   6273:       fprintf(ficgp,"\n#\n");
1.223     brouard  6274:       if(invalidvarcomb[k1]){
                   6275:        fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   6276:        continue;
                   6277:       }
1.220     brouard  6278:                        
1.201     brouard  6279:       fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" \n",subdirf2(optionfilefiname,"LIJ_"),cpt,k1);
                   6280:       fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability to be alive\" \n\
1.220     brouard  6281: set ter svg size 640, 480\n                                                                                                                                                                                    \
                   6282: unset log y\n                                                                                                                                                                                                                                          \
1.201     brouard  6283: plot [%.f:%.f]  ", ageminpar, agemaxpar);
1.211     brouard  6284:       k=3;
1.201     brouard  6285:       for (i=1; i<= nlstate ; i ++){
1.223     brouard  6286:        if(i==1){
                   6287:          fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJ_"));
                   6288:        }else{
                   6289:          fprintf(ficgp,", '' ");
                   6290:        }
                   6291:        l=(nlstate+ndeath)*(i-1)+1;
                   6292:        fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l);
                   6293:        for (j=2; j<= nlstate+ndeath ; j ++)
                   6294:          fprintf(ficgp,"+$%d",k+l+j-1);
                   6295:        fprintf(ficgp,")) t \"l(%d,%d)\" w l",i,cpt);
1.201     brouard  6296:       } /* nlstate */
                   6297:       fprintf(ficgp,"\nset out\n");
                   6298:     } /* end cpt state*/ 
                   6299:   } /* end covariate */  
1.220     brouard  6300:        
                   6301: /* 5eme */
1.201     brouard  6302:   /* Survival functions (period) from state i in state j by final state j */
1.202     brouard  6303:   for (k1=1; k1<= m ; k1 ++) { /* For each covariate if any */
1.201     brouard  6304:     for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each inital state  */
1.223     brouard  6305:                        
1.201     brouard  6306:       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);
1.225     brouard  6307:       for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
1.227     brouard  6308:        lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
                   6309:        /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   6310:        /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   6311:        /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   6312:        vlv= nbcode[Tvaraff[k]][lv];
                   6313:        fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.211     brouard  6314:       }
                   6315:       fprintf(ficgp,"\n#\n");
1.223     brouard  6316:       if(invalidvarcomb[k1]){
1.227     brouard  6317:        fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   6318:        continue;
1.223     brouard  6319:       }
1.227     brouard  6320:       
1.201     brouard  6321:       fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" \n",subdirf2(optionfilefiname,"LIJT_"),cpt,k1);
                   6322:       fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability to be alive\" \n\
1.227     brouard  6323: set ter svg size 640, 480\n                                            \
                   6324: unset log y\n                                                          \
1.201     brouard  6325: plot [%.f:%.f]  ", ageminpar, agemaxpar);
1.211     brouard  6326:       k=3;
1.201     brouard  6327:       for (j=1; j<= nlstate ; j ++){ /* Lived in state j */
1.227     brouard  6328:        if(j==1)
                   6329:          fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJ_"));
                   6330:        else
                   6331:          fprintf(ficgp,", '' ");
                   6332:        l=(nlstate+ndeath)*(cpt-1) +j;
                   6333:        fprintf(ficgp," u (($1==%d && (floor($2)%%5 == 0)) ? ($3):1/0):($%d",k1,k+l);
                   6334:        /* for (i=2; i<= nlstate+ndeath ; i ++) */
                   6335:        /*   fprintf(ficgp,"+$%d",k+l+i-1); */
                   6336:        fprintf(ficgp,") t \"l(%d,%d)\" w l",cpt,j);
1.201     brouard  6337:       } /* nlstate */
                   6338:       fprintf(ficgp,", '' ");
                   6339:       fprintf(ficgp," u (($1==%d && (floor($2)%%5 == 0)) ? ($3):1/0):(",k1);
                   6340:       for (j=1; j<= nlstate ; j ++){ /* Lived in state j */
1.227     brouard  6341:        l=(nlstate+ndeath)*(cpt-1) +j;
                   6342:        if(j < nlstate)
                   6343:          fprintf(ficgp,"$%d +",k+l);
                   6344:        else
                   6345:          fprintf(ficgp,"$%d) t\"l(%d,.)\" w l",k+l,cpt);
1.201     brouard  6346:       }
                   6347:       fprintf(ficgp,"\nset out\n");
                   6348:     } /* end cpt state*/ 
                   6349:   } /* end covariate */  
1.227     brouard  6350:   
1.220     brouard  6351: /* 6eme */
1.202     brouard  6352:   /* CV preval stable (period) for each covariate */
1.211     brouard  6353:   for (k1=1; k1<= m ; k1 ++) { /* For each covariate combination (1 to m=2**k), if any covariate is present */
1.153     brouard  6354:     for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state */
1.227     brouard  6355:       
1.211     brouard  6356:       fprintf(ficgp,"\n#\n#\n#CV preval stable (period): 'pij' files, covariatecombination#=%d state=%d",k1, cpt);
1.225     brouard  6357:       for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
1.227     brouard  6358:        lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
                   6359:        /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   6360:        /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   6361:        /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   6362:        vlv= nbcode[Tvaraff[k]][lv];
                   6363:        fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.211     brouard  6364:       }
                   6365:       fprintf(ficgp,"\n#\n");
1.223     brouard  6366:       if(invalidvarcomb[k1]){
1.227     brouard  6367:        fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   6368:        continue;
1.223     brouard  6369:       }
1.227     brouard  6370:       
1.201     brouard  6371:       fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" \n",subdirf2(optionfilefiname,"P_"),cpt,k1);
1.126     brouard  6372:       fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \n\
1.227     brouard  6373: set ter svg size 640, 480\n                                            \
                   6374: unset log y\n                                                          \
1.153     brouard  6375: plot [%.f:%.f]  ", ageminpar, agemaxpar);
1.211     brouard  6376:       k=3; /* Offset */
1.153     brouard  6377:       for (i=1; i<= nlstate ; i ++){
1.227     brouard  6378:        if(i==1)
                   6379:          fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJ_"));
                   6380:        else
                   6381:          fprintf(ficgp,", '' ");
                   6382:        l=(nlstate+ndeath)*(i-1)+1;
                   6383:        fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l);
                   6384:        for (j=2; j<= nlstate ; j ++)
                   6385:          fprintf(ficgp,"+$%d",k+l+j-1);
                   6386:        fprintf(ficgp,")) t \"prev(%d,%d)\" w l",i,cpt);
1.153     brouard  6387:       } /* nlstate */
1.201     brouard  6388:       fprintf(ficgp,"\nset out\n");
1.153     brouard  6389:     } /* end cpt state*/ 
                   6390:   } /* end covariate */  
1.227     brouard  6391:   
                   6392:   
1.220     brouard  6393: /* 7eme */
1.218     brouard  6394:   if(backcast == 1){
1.217     brouard  6395:     /* CV back preval stable (period) for each covariate */
1.218     brouard  6396:     for (k1=1; k1<= m ; k1 ++) { /* For each covariate combination (1 to m=2**k), if any covariate is present */
                   6397:       for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state */
1.227     brouard  6398:        fprintf(ficgp,"\n#\n#\n#CV Back preval stable (period): 'pij' files, covariatecombination#=%d state=%d",k1, cpt);
                   6399:        for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
                   6400:          lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
                   6401:          /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   6402:          /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
1.223     brouard  6403:          /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
1.227     brouard  6404:          vlv= nbcode[Tvaraff[k]][lv];
                   6405:          fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
                   6406:        }
                   6407:        fprintf(ficgp,"\n#\n");
                   6408:        if(invalidvarcomb[k1]){
                   6409:          fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   6410:          continue;
                   6411:        }
                   6412:        
                   6413:        fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" \n",subdirf2(optionfilefiname,"PB_"),cpt,k1);
                   6414:        fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \n\
                   6415: set ter svg size 640, 480\n                                            \
                   6416: unset log y\n                                                          \
1.218     brouard  6417: plot [%.f:%.f]  ", ageminpar, agemaxpar);
1.227     brouard  6418:        k=3; /* Offset */
                   6419:        for (i=1; i<= nlstate ; i ++){
                   6420:          if(i==1)
                   6421:            fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJB_"));
                   6422:          else
                   6423:            fprintf(ficgp,", '' ");
                   6424:          /* l=(nlstate+ndeath)*(i-1)+1; */
                   6425:          l=(nlstate+ndeath)*(cpt-1)+1;
                   6426:          /* fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l); /\* a vérifier *\/ */
                   6427:          /* fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l+(cpt-1)+i-1); /\* a vérifier *\/ */
                   6428:          fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d",k1,k+l+(cpt-1)+i-1); /* a vérifier */
                   6429:          /* for (j=2; j<= nlstate ; j ++) */
                   6430:          /*    fprintf(ficgp,"+$%d",k+l+j-1); */
                   6431:          /*    /\* fprintf(ficgp,"+$%d",k+l+j-1); *\/ */
                   6432:          fprintf(ficgp,") t \"bprev(%d,%d)\" w l",i,cpt);
                   6433:        } /* nlstate */
                   6434:        fprintf(ficgp,"\nset out\n");
1.218     brouard  6435:       } /* end cpt state*/ 
                   6436:     } /* end covariate */  
                   6437:   } /* End if backcast */
                   6438:   
1.223     brouard  6439:   /* 8eme */
1.218     brouard  6440:   if(prevfcast==1){
                   6441:     /* Projection from cross-sectional to stable (period) for each covariate */
                   6442:     
                   6443:     for (k1=1; k1<= m ; k1 ++) { /* For each covariate combination (1 to m=2**k), if any covariate is present */
1.211     brouard  6444:       for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state */
1.227     brouard  6445:        fprintf(ficgp,"\n#\n#\n#Projection of prevalence to stable (period): 'PROJ_' files, covariatecombination#=%d state=%d",k1, cpt);
                   6446:        for (k=1; k<=cptcoveff; k++){    /* For each correspondig covariate value  */
                   6447:          lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to k1 combination and kth covariate */
                   6448:          /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   6449:          /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   6450:          /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   6451:          vlv= nbcode[Tvaraff[k]][lv];
                   6452:          fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
                   6453:        }
                   6454:        fprintf(ficgp,"\n#\n");
                   6455:        if(invalidvarcomb[k1]){
                   6456:          fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   6457:          continue;
                   6458:        }
                   6459:        
                   6460:        fprintf(ficgp,"# hpijx=probability over h years, hp.jx is weighted by observed prev\n ");
                   6461:        fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" \n",subdirf2(optionfilefiname,"PROJ_"),cpt,k1);
                   6462:        fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Prevalence\" \n\
                   6463: set ter svg size 640, 480\n                                            \
                   6464: unset log y\n                                                          \
1.219     brouard  6465: plot [%.f:%.f]  ", ageminpar, agemaxpar);
1.227     brouard  6466:        for (i=1; i<= nlstate+1 ; i ++){  /* nlstate +1 p11 p21 p.1 */
                   6467:          /*#  V1  = 1  V2 =  0 yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
                   6468:          /*#   1    2   3    4    5      6  7   8   9   10   11 12  13   14  15 */   
                   6469:          /*# yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
                   6470:          /*#   1       2   3    4    5      6  7   8   9   10   11 12  13   14  15 */   
                   6471:          if(i==1){
                   6472:            fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"F_"));
                   6473:          }else{
                   6474:            fprintf(ficgp,",\\\n '' ");
                   6475:          }
                   6476:          if(cptcoveff ==0){ /* No covariate */
                   6477:            ioffset=2; /* Age is in 2 */
                   6478:            /*# yearproj age p11 p21 p31 p.1 p12 p22 p32 p.2 p13 p23 p33 p.3 p14 p24 p34 p.4*/
                   6479:            /*#   1       2   3   4   5  6    7  8   9   10  11  12  13  14  15  16  17  18 */
                   6480:            /*# V1  = 1 yearproj age p11 p21 p31 p.1 p12 p22 p32 p.2 p13 p23 p33 p.3 p14 p24 p34 p.4*/
                   6481:            /*#  1    2        3   4   5  6    7  8   9   10  11  12  13  14  15  16  17  18 */
                   6482:            fprintf(ficgp," u %d:(", ioffset); 
                   6483:            if(i==nlstate+1)
                   6484:              fprintf(ficgp," $%d/(1.-$%d)) t 'pw.%d' with line ",      \
                   6485:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate,cpt );
                   6486:            else
                   6487:              fprintf(ficgp," $%d/(1.-$%d)) t 'p%d%d' with line ",      \
                   6488:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate,i,cpt );
                   6489:          }else{ /* more than 2 covariates */
                   6490:            if(cptcoveff ==1){
                   6491:              ioffset=4; /* Age is in 4 */
                   6492:            }else{
                   6493:              ioffset=6; /* Age is in 6 */
                   6494:              /*#  V1  = 1  V2 =  0 yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
                   6495:              /*#   1    2   3    4    5      6  7   8   9   10   11 12  13   14  15 */
                   6496:            }   
                   6497:            fprintf(ficgp," u %d:(",ioffset); 
                   6498:            kl=0;
                   6499:            strcpy(gplotcondition,"(");
                   6500:            for (k=1; k<=cptcoveff; k++){    /* For each covariate writing the chain of conditions */
                   6501:              lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to combination k1 and covariate k */
                   6502:              /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   6503:              /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   6504:              /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   6505:              vlv= nbcode[Tvaraff[k]][lv]; /* Value of the modality of Tvaraff[k] */
                   6506:              kl++;
                   6507:              sprintf(gplotcondition+strlen(gplotcondition),"$%d==%d && $%d==%d " ,kl,Tvaraff[k], kl+1, nbcode[Tvaraff[k]][lv]);
                   6508:              kl++;
                   6509:              if(k <cptcoveff && cptcoveff>1)
                   6510:                sprintf(gplotcondition+strlen(gplotcondition)," && ");
                   6511:            }
                   6512:            strcpy(gplotcondition+strlen(gplotcondition),")");
                   6513:            /* 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 *\/ */
                   6514:            /*6+(cpt-1)*(nlstate+1)+1+(i-1)+(nlstate+1)*nlstate; 6+(1-1)*(2+1)+1+(1-1) +(2+1)*2=13 */ 
                   6515:            /*6+1+(i-1)+(nlstate+1)*nlstate; 6+1+(1-1) +(2+1)*2=13 */ 
                   6516:            /* ''  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*/
                   6517:            if(i==nlstate+1){
                   6518:              fprintf(ficgp,"%s ? $%d/(1.-$%d) : 1/0) t 'p.%d' with line ", gplotcondition, \
                   6519:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate,cpt );
                   6520:            }else{
                   6521:              fprintf(ficgp,"%s ? $%d/(1.-$%d) : 1/0) t 'p%d%d' with line ", gplotcondition, \
                   6522:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1), ioffset +1+(i-1)+(nlstate+1)*nlstate,i,cpt );
                   6523:            }
                   6524:          } /* end if covariate */
                   6525:        } /* nlstate */
                   6526:        fprintf(ficgp,"\nset out\n");
1.223     brouard  6527:       } /* end cpt state*/
                   6528:     } /* end covariate */
                   6529:   } /* End if prevfcast */
1.227     brouard  6530:   
                   6531:   
1.223     brouard  6532:   /* proba elementaires */
                   6533:   fprintf(ficgp,"\n##############\n#MLE estimated parameters\n#############\n");
1.126     brouard  6534:   for(i=1,jk=1; i <=nlstate; i++){
1.187     brouard  6535:     fprintf(ficgp,"# initial state %d\n",i);
1.126     brouard  6536:     for(k=1; k <=(nlstate+ndeath); k++){
                   6537:       if (k != i) {
1.227     brouard  6538:        fprintf(ficgp,"#   current state %d\n",k);
                   6539:        for(j=1; j <=ncovmodel; j++){
                   6540:          fprintf(ficgp,"p%d=%f; ",jk,p[jk]);
                   6541:          jk++; 
                   6542:        }
                   6543:        fprintf(ficgp,"\n");
1.126     brouard  6544:       }
                   6545:     }
1.223     brouard  6546:   }
1.187     brouard  6547:   fprintf(ficgp,"##############\n#\n");
1.227     brouard  6548:   
1.145     brouard  6549:   /*goto avoid;*/
1.200     brouard  6550:   fprintf(ficgp,"\n##############\n#Graphics of probabilities or incidences\n#############\n");
1.187     brouard  6551:   fprintf(ficgp,"# logi(p12/p11)=a12+b12*age+c12age*age+d12*V1+e12*V1*age\n");
                   6552:   fprintf(ficgp,"# logi(p12/p11)=p1 +p2*age +p3*age*age+ p4*V1+ p5*V1*age\n");
                   6553:   fprintf(ficgp,"# logi(p13/p11)=a13+b13*age+c13age*age+d13*V1+e13*V1*age\n");
                   6554:   fprintf(ficgp,"# logi(p13/p11)=p6 +p7*age +p8*age*age+ p9*V1+ p10*V1*age\n");
                   6555:   fprintf(ficgp,"# p12+p13+p14+p11=1=p11(1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
                   6556:   fprintf(ficgp,"#                      +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age)+...)\n");
                   6557:   fprintf(ficgp,"# p11=1/(1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
                   6558:   fprintf(ficgp,"#                      +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age)+...)\n");
                   6559:   fprintf(ficgp,"# p12=exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)/\n");
                   6560:   fprintf(ficgp,"#     (1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
                   6561:   fprintf(ficgp,"#       +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age))\n");
                   6562:   fprintf(ficgp,"#       +exp(a14+b14*age+c14age*age+d14*V1+e14*V1*age)+...)\n");
                   6563:   fprintf(ficgp,"#\n");
1.223     brouard  6564:   for(ng=1; ng<=3;ng++){ /* Number of graphics: first is logit, 2nd is probabilities, third is incidences per year*/
                   6565:     fprintf(ficgp,"# ng=%d\n",ng);
1.225     brouard  6566:     fprintf(ficgp,"#   jk=1 to 2^%d=%d\n",cptcoveff,m);
1.223     brouard  6567:     for(jk=1; jk <=m; jk++) {
                   6568:       fprintf(ficgp,"#    jk=%d\n",jk);
                   6569:       fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" ",subdirf2(optionfilefiname,"PE_"),jk,ng);
                   6570:       fprintf(ficgp,"\nset ter svg size 640, 480 ");
                   6571:       if (ng==1){
                   6572:        fprintf(ficgp,"\nset ylabel \"Value of the logit of the model\"\n"); /* exp(a12+b12*x) could be nice */
                   6573:        fprintf(ficgp,"\nunset log y");
                   6574:       }else if (ng==2){
                   6575:        fprintf(ficgp,"\nset ylabel \"Probability\"\n");
                   6576:        fprintf(ficgp,"\nset log y");
                   6577:       }else if (ng==3){
                   6578:        fprintf(ficgp,"\nset ylabel \"Quasi-incidence per year\"\n");
                   6579:        fprintf(ficgp,"\nset log y");
                   6580:       }else
                   6581:        fprintf(ficgp,"\nunset title ");
                   6582:       fprintf(ficgp,"\nplot  [%.f:%.f] ",ageminpar,agemaxpar);
                   6583:       i=1;
                   6584:       for(k2=1; k2<=nlstate; k2++) {
                   6585:        k3=i;
                   6586:        for(k=1; k<=(nlstate+ndeath); k++) {
                   6587:          if (k != k2){
                   6588:            switch( ng) {
                   6589:            case 1:
                   6590:              if(nagesqr==0)
                   6591:                fprintf(ficgp," p%d+p%d*x",i,i+1);
                   6592:              else /* nagesqr =1 */
                   6593:                fprintf(ficgp," p%d+p%d*x+p%d*x*x",i,i+1,i+1+nagesqr);
                   6594:              break;
                   6595:            case 2: /* ng=2 */
                   6596:              if(nagesqr==0)
                   6597:                fprintf(ficgp," exp(p%d+p%d*x",i,i+1);
                   6598:              else /* nagesqr =1 */
                   6599:                fprintf(ficgp," exp(p%d+p%d*x+p%d*x*x",i,i+1,i+1+nagesqr);
                   6600:              break;
                   6601:            case 3:
                   6602:              if(nagesqr==0)
                   6603:                fprintf(ficgp," %f*exp(p%d+p%d*x",YEARM/stepm,i,i+1);
                   6604:              else /* nagesqr =1 */
                   6605:                fprintf(ficgp," %f*exp(p%d+p%d*x+p%d*x*x",YEARM/stepm,i,i+1,i+1+nagesqr);
                   6606:              break;
                   6607:            }
                   6608:            ij=1;/* To be checked else nbcode[0][0] wrong */
                   6609:            for(j=3; j <=ncovmodel-nagesqr; j++) {
                   6610:              /* printf("Tage[%d]=%d, j=%d\n", ij, Tage[ij], j); */
                   6611:              if(ij <=cptcovage) { /* Bug valgrind */
                   6612:                if((j-2)==Tage[ij]) { /* Bug valgrind */
                   6613:                  fprintf(ficgp,"+p%d*%d*x",i+j+nagesqr-1,nbcode[Tvar[j-2]][codtabm(jk,j-2)]);
                   6614:                  /* fprintf(ficgp,"+p%d*%d*x",i+j+nagesqr-1,nbcode[Tvar[j-2]][codtabm(jk,Tvar[j-2])]); */
                   6615:                  ij++;
                   6616:                }
                   6617:              }
                   6618:              else
1.227     brouard  6619:                fprintf(ficgp,"+p%d*%d",i+j+nagesqr-1,nbcode[Tvar[j-2]][codtabm(jk,j-2)]); /* Valgrind bug nbcode */
1.223     brouard  6620:            }
                   6621:          }else{
                   6622:            i=i-ncovmodel;
                   6623:            if(ng !=1 ) /* For logit formula of log p11 is more difficult to get */
                   6624:              fprintf(ficgp," (1.");
                   6625:          }
1.227     brouard  6626:          
1.223     brouard  6627:          if(ng != 1){
                   6628:            fprintf(ficgp,")/(1");
1.227     brouard  6629:            
1.223     brouard  6630:            for(k1=1; k1 <=nlstate; k1++){ 
                   6631:              if(nagesqr==0)
                   6632:                fprintf(ficgp,"+exp(p%d+p%d*x",k3+(k1-1)*ncovmodel,k3+(k1-1)*ncovmodel+1);
                   6633:              else /* nagesqr =1 */
                   6634:                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);
1.217     brouard  6635:               
1.223     brouard  6636:              ij=1;
                   6637:              for(j=3; j <=ncovmodel-nagesqr; j++){
                   6638:                if(ij <=cptcovage) { /* Bug valgrind */
                   6639:                  if((j-2)==Tage[ij]) { /* Bug valgrind */
                   6640:                    fprintf(ficgp,"+p%d*%d*x",k3+(k1-1)*ncovmodel+1+j-2+nagesqr,nbcode[Tvar[j-2]][codtabm(jk,j-2)]);
                   6641:                    /* fprintf(ficgp,"+p%d*%d*x",k3+(k1-1)*ncovmodel+1+j-2+nagesqr,nbcode[Tvar[j-2]][codtabm(jk,Tvar[j-2])]); */
                   6642:                    ij++;
                   6643:                  }
                   6644:                }
                   6645:                else
1.225     brouard  6646:                  fprintf(ficgp,"+p%d*%d",k3+(k1-1)*ncovmodel+1+j-2+nagesqr,nbcode[Tvar[j-2]][codtabm(jk,j-2)]);/* Valgrind bug nbcode */
1.223     brouard  6647:              }
                   6648:              fprintf(ficgp,")");
                   6649:            }
                   6650:            fprintf(ficgp,")");
                   6651:            if(ng ==2)
                   6652:              fprintf(ficgp," t \"p%d%d\" ", k2,k);
                   6653:            else /* ng= 3 */
                   6654:              fprintf(ficgp," t \"i%d%d\" ", k2,k);
                   6655:          }else{ /* end ng <> 1 */
                   6656:            if( k !=k2) /* logit p11 is hard to draw */
                   6657:              fprintf(ficgp," t \"logit(p%d%d)\" ", k2,k);
                   6658:          }
                   6659:          if ((k+k2)!= (nlstate*2+ndeath) && ng != 1)
                   6660:            fprintf(ficgp,",");
                   6661:          if (ng == 1 && k!=k2 && (k+k2)!= (nlstate*2+ndeath))
                   6662:            fprintf(ficgp,",");
                   6663:          i=i+ncovmodel;
                   6664:        } /* end k */
                   6665:       } /* end k2 */
                   6666:       fprintf(ficgp,"\n set out\n");
                   6667:     } /* end jk */
                   6668:   } /* end ng */
                   6669:   /* avoid: */
                   6670:   fflush(ficgp); 
1.126     brouard  6671: }  /* end gnuplot */
                   6672: 
                   6673: 
                   6674: /*************** Moving average **************/
1.219     brouard  6675: /* int movingaverage(double ***probs, double bage, double fage, double ***mobaverage, int mobilav, double bageout, double fageout){ */
1.222     brouard  6676:  int movingaverage(double ***probs, double bage, double fage, double ***mobaverage, int mobilav){
1.218     brouard  6677:    
1.222     brouard  6678:    int i, cpt, cptcod;
                   6679:    int modcovmax =1;
                   6680:    int mobilavrange, mob;
                   6681:    int iage=0;
                   6682: 
                   6683:    double sum=0.;
                   6684:    double age;
                   6685:    double *sumnewp, *sumnewm;
                   6686:    double *agemingood, *agemaxgood; /* Currently identical for all covariates */
                   6687:   
                   6688:   
1.225     brouard  6689:    /* modcovmax=2*cptcoveff;/\* Max number of modalities. We suppose  */
1.222     brouard  6690:    /*             a covariate has 2 modalities, should be equal to ncovcombmax  *\/ */
                   6691: 
                   6692:    sumnewp = vector(1,ncovcombmax);
                   6693:    sumnewm = vector(1,ncovcombmax);
                   6694:    agemingood = vector(1,ncovcombmax); 
                   6695:    agemaxgood = vector(1,ncovcombmax);
                   6696: 
                   6697:    for (cptcod=1;cptcod<=ncovcombmax;cptcod++){
                   6698:      sumnewm[cptcod]=0.;
                   6699:      sumnewp[cptcod]=0.;
                   6700:      agemingood[cptcod]=0;
                   6701:      agemaxgood[cptcod]=0;
                   6702:    }
                   6703:    if (cptcovn<1) ncovcombmax=1; /* At least 1 pass */
                   6704:   
                   6705:    if(mobilav==1||mobilav ==3 ||mobilav==5 ||mobilav== 7){
                   6706:      if(mobilav==1) mobilavrange=5; /* default */
                   6707:      else mobilavrange=mobilav;
                   6708:      for (age=bage; age<=fage; age++)
                   6709:        for (i=1; i<=nlstate;i++)
                   6710:         for (cptcod=1;cptcod<=ncovcombmax;cptcod++)
                   6711:           mobaverage[(int)age][i][cptcod]=probs[(int)age][i][cptcod];
                   6712:      /* We keep the original values on the extreme ages bage, fage and for 
                   6713:        fage+1 and bage-1 we use a 3 terms moving average; for fage+2 bage+2
                   6714:        we use a 5 terms etc. until the borders are no more concerned. 
                   6715:      */ 
                   6716:      for (mob=3;mob <=mobilavrange;mob=mob+2){
                   6717:        for (age=bage+(mob-1)/2; age<=fage-(mob-1)/2; age++){
                   6718:         for (i=1; i<=nlstate;i++){
                   6719:           for (cptcod=1;cptcod<=ncovcombmax;cptcod++){
                   6720:             mobaverage[(int)age][i][cptcod] =probs[(int)age][i][cptcod];
                   6721:             for (cpt=1;cpt<=(mob-1)/2;cpt++){
                   6722:               mobaverage[(int)age][i][cptcod] +=probs[(int)age-cpt][i][cptcod];
                   6723:               mobaverage[(int)age][i][cptcod] +=probs[(int)age+cpt][i][cptcod];
                   6724:             }
                   6725:             mobaverage[(int)age][i][cptcod]=mobaverage[(int)age][i][cptcod]/mob;
                   6726:           }
                   6727:         }
                   6728:        }/* end age */
                   6729:      }/* end mob */
                   6730:    }else
                   6731:      return -1;
                   6732:    for (cptcod=1;cptcod<=ncovcombmax;cptcod++){
                   6733:      /* for (age=bage+(mob-1)/2; age<=fage-(mob-1)/2; age++){ */
                   6734:      if(invalidvarcomb[cptcod]){
                   6735:        printf("\nCombination (%d) ignored because no cases \n",cptcod); 
                   6736:        continue;
                   6737:      }
1.219     brouard  6738: 
1.222     brouard  6739:      agemingood[cptcod]=fage-(mob-1)/2;
                   6740:      for (age=fage-(mob-1)/2; age>=bage; age--){/* From oldest to youngest, finding the youngest wrong */
                   6741:        sumnewm[cptcod]=0.;
                   6742:        for (i=1; i<=nlstate;i++){
                   6743:         sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
                   6744:        }
                   6745:        if(fabs(sumnewm[cptcod] - 1.) <= 1.e-3) { /* good */
                   6746:         agemingood[cptcod]=age;
                   6747:        }else{ /* bad */
                   6748:         for (i=1; i<=nlstate;i++){
                   6749:           mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemingood[cptcod]][i][cptcod];
                   6750:         } /* i */
                   6751:        } /* end bad */
                   6752:      }/* age */
                   6753:      sum=0.;
                   6754:      for (i=1; i<=nlstate;i++){
                   6755:        sum+=mobaverage[(int)agemingood[cptcod]][i][cptcod];
                   6756:      }
                   6757:      if(fabs(sum - 1.) > 1.e-3) { /* bad */
                   6758:        printf("For this combination of covariate cptcod=%d, we can't get a smoothed prevalence which sums to one at any descending age!\n",cptcod);
                   6759:        /* for (i=1; i<=nlstate;i++){ */
                   6760:        /*   mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemingood[cptcod]][i][cptcod]; */
                   6761:        /* } /\* i *\/ */
                   6762:      } /* end bad */
                   6763:      /* else{ /\* We found some ages summing to one, we will smooth the oldest *\/ */
                   6764:      /* From youngest, finding the oldest wrong */
                   6765:      agemaxgood[cptcod]=bage+(mob-1)/2;
                   6766:      for (age=bage+(mob-1)/2; age<=fage; age++){
                   6767:        sumnewm[cptcod]=0.;
                   6768:        for (i=1; i<=nlstate;i++){
                   6769:         sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
                   6770:        }
                   6771:        if(fabs(sumnewm[cptcod] - 1.) <= 1.e-3) { /* good */
                   6772:         agemaxgood[cptcod]=age;
                   6773:        }else{ /* bad */
                   6774:         for (i=1; i<=nlstate;i++){
                   6775:           mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemaxgood[cptcod]][i][cptcod];
                   6776:         } /* i */
                   6777:        } /* end bad */
                   6778:      }/* age */
                   6779:      sum=0.;
                   6780:      for (i=1; i<=nlstate;i++){
                   6781:        sum+=mobaverage[(int)agemaxgood[cptcod]][i][cptcod];
                   6782:      }
                   6783:      if(fabs(sum - 1.) > 1.e-3) { /* bad */
                   6784:        printf("For this combination of covariate cptcod=%d, we can't get a smoothed prevalence which sums to one at any ascending age!\n",cptcod);
                   6785:        /* for (i=1; i<=nlstate;i++){ */
                   6786:        /*   mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemingood[cptcod]][i][cptcod]; */
                   6787:        /* } /\* i *\/ */
                   6788:      } /* end bad */
                   6789:                
                   6790:      for (age=bage; age<=fage; age++){
                   6791:        printf("%d %d ", cptcod, (int)age);
                   6792:        sumnewp[cptcod]=0.;
                   6793:        sumnewm[cptcod]=0.;
                   6794:        for (i=1; i<=nlstate;i++){
                   6795:         sumnewp[cptcod]+=probs[(int)age][i][cptcod];
                   6796:         sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
                   6797:         /* printf("%.4f %.4f ",probs[(int)age][i][cptcod], mobaverage[(int)age][i][cptcod]); */
                   6798:        }
                   6799:        /* printf("%.4f %.4f \n",sumnewp[cptcod], sumnewm[cptcod]); */
                   6800:      }
                   6801:      /* printf("\n"); */
                   6802:      /* } */
                   6803:      /* brutal averaging */
                   6804:      for (i=1; i<=nlstate;i++){
                   6805:        for (age=1; age<=bage; age++){
                   6806:         mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemingood[cptcod]][i][cptcod];
                   6807:         /* printf("age=%d i=%d cptcod=%d mobaverage=%.4f \n",(int)age,i, cptcod, mobaverage[(int)age][i][cptcod]); */
                   6808:        }       
                   6809:        for (age=fage; age<=AGESUP; age++){
                   6810:         mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemaxgood[cptcod]][i][cptcod];
                   6811:         /* printf("age=%d i=%d cptcod=%d mobaverage=%.4f \n",(int)age,i, cptcod, mobaverage[(int)age][i][cptcod]); */
                   6812:        }
                   6813:      } /* end i status */
                   6814:      for (i=nlstate+1; i<=nlstate+ndeath;i++){
                   6815:        for (age=1; age<=AGESUP; age++){
                   6816:         /*printf("i=%d, age=%d, cptcod=%d\n",i, (int)age, cptcod);*/
                   6817:         mobaverage[(int)age][i][cptcod]=0.;
                   6818:        }
                   6819:      }
                   6820:    }/* end cptcod */
                   6821:    free_vector(sumnewm,1, ncovcombmax);
                   6822:    free_vector(sumnewp,1, ncovcombmax);
                   6823:    free_vector(agemaxgood,1, ncovcombmax);
                   6824:    free_vector(agemingood,1, ncovcombmax);
                   6825:    return 0;
                   6826:  }/* End movingaverage */
1.218     brouard  6827:  
1.126     brouard  6828: 
                   6829: /************** Forecasting ******************/
1.225     brouard  6830: 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  6831:   /* proj1, year, month, day of starting projection 
                   6832:      agemin, agemax range of age
                   6833:      dateprev1 dateprev2 range of dates during which prevalence is computed
                   6834:      anproj2 year of en of projection (same day and month as proj1).
                   6835:   */
1.164     brouard  6836:   int yearp, stepsize, hstepm, nhstepm, j, k, cptcod, i, h, i1;
1.126     brouard  6837:   double agec; /* generic age */
                   6838:   double agelim, ppij, yp,yp1,yp2,jprojmean,mprojmean,anprojmean;
                   6839:   double *popeffectif,*popcount;
                   6840:   double ***p3mat;
1.218     brouard  6841:   /* double ***mobaverage; */
1.126     brouard  6842:   char fileresf[FILENAMELENGTH];
                   6843: 
                   6844:   agelim=AGESUP;
1.211     brouard  6845:   /* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people
                   6846:      in each health status at the date of interview (if between dateprev1 and dateprev2).
                   6847:      We still use firstpass and lastpass as another selection.
                   6848:   */
1.214     brouard  6849:   /* freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint,strstart,\ */
                   6850:   /*         firstpass, lastpass,  stepm,  weightopt, model); */
1.126     brouard  6851:  
1.201     brouard  6852:   strcpy(fileresf,"F_"); 
                   6853:   strcat(fileresf,fileresu);
1.126     brouard  6854:   if((ficresf=fopen(fileresf,"w"))==NULL) {
                   6855:     printf("Problem with forecast resultfile: %s\n", fileresf);
                   6856:     fprintf(ficlog,"Problem with forecast resultfile: %s\n", fileresf);
                   6857:   }
1.215     brouard  6858:   printf("Computing forecasting: result on file '%s', please wait... \n", fileresf);
                   6859:   fprintf(ficlog,"Computing forecasting: result on file '%s', please wait... \n", fileresf);
1.126     brouard  6860: 
1.225     brouard  6861:   if (cptcoveff==0) ncodemax[cptcoveff]=1;
1.126     brouard  6862: 
                   6863: 
                   6864:   stepsize=(int) (stepm+YEARM-1)/YEARM;
                   6865:   if (stepm<=12) stepsize=1;
                   6866:   if(estepm < stepm){
                   6867:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   6868:   }
                   6869:   else  hstepm=estepm;   
                   6870: 
                   6871:   hstepm=hstepm/stepm; 
                   6872:   yp1=modf(dateintmean,&yp);/* extracts integral of datemean in yp  and
                   6873:                                fractional in yp1 */
                   6874:   anprojmean=yp;
                   6875:   yp2=modf((yp1*12),&yp);
                   6876:   mprojmean=yp;
                   6877:   yp1=modf((yp2*30.5),&yp);
                   6878:   jprojmean=yp;
                   6879:   if(jprojmean==0) jprojmean=1;
                   6880:   if(mprojmean==0) jprojmean=1;
                   6881: 
1.227     brouard  6882:   i1=pow(2,cptcoveff);
1.126     brouard  6883:   if (cptcovn < 1){i1=1;}
                   6884:   
                   6885:   fprintf(ficresf,"# Mean day of interviews %.lf/%.lf/%.lf (%.2f) between %.2f and %.2f \n",jprojmean,mprojmean,anprojmean,dateintmean,dateprev1,dateprev2); 
                   6886:   
                   6887:   fprintf(ficresf,"#****** Routine prevforecast **\n");
1.227     brouard  6888:   
1.126     brouard  6889: /*           if (h==(int)(YEARM*yearp)){ */
1.227     brouard  6890:   for(k=1;k<=i1;k++){
                   6891:     if(invalidvarcomb[k]){
                   6892:       printf("\nCombination (%d) projection ignored because no cases \n",k); 
                   6893:       continue;
                   6894:     }
                   6895:     fprintf(ficresf,"\n#****** hpijx=probability over h years, hp.jx is weighted by observed prev \n#");
                   6896:     for(j=1;j<=cptcoveff;j++) {
                   6897:       fprintf(ficresf," V%d (=) %d",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   6898:     }
                   6899:     fprintf(ficresf," yearproj age");
                   6900:     for(j=1; j<=nlstate+ndeath;j++){ 
                   6901:       for(i=1; i<=nlstate;i++)               
                   6902:        fprintf(ficresf," p%d%d",i,j);
                   6903:       fprintf(ficresf," wp.%d",j);
                   6904:     }
                   6905:     for (yearp=0; yearp<=(anproj2-anproj1);yearp +=stepsize) {
                   6906:       fprintf(ficresf,"\n");
                   6907:       fprintf(ficresf,"\n# Forecasting at date %.lf/%.lf/%.lf ",jproj1,mproj1,anproj1+yearp);   
                   6908:       for (agec=fage; agec>=(ageminpar-1); agec--){ 
                   6909:        nhstepm=(int) rint((agelim-agec)*YEARM/stepm); 
                   6910:        nhstepm = nhstepm/hstepm; 
                   6911:        p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   6912:        oldm=oldms;savm=savms;
                   6913:        hpxij(p3mat,nhstepm,agec,hstepm,p,nlstate,stepm,oldm,savm, k);
                   6914:        
                   6915:        for (h=0; h<=nhstepm; h++){
                   6916:          if (h*hstepm/YEARM*stepm ==yearp) {
                   6917:            fprintf(ficresf,"\n");
                   6918:            for(j=1;j<=cptcoveff;j++) 
                   6919:              fprintf(ficresf,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   6920:            fprintf(ficresf,"%.f %.f ",anproj1+yearp,agec+h*hstepm/YEARM*stepm);
                   6921:          } 
                   6922:          for(j=1; j<=nlstate+ndeath;j++) {
                   6923:            ppij=0.;
                   6924:            for(i=1; i<=nlstate;i++) {
                   6925:              if (mobilav==1) 
                   6926:                ppij=ppij+p3mat[i][j][h]*mobaverage[(int)agec][i][k];
                   6927:              else {
                   6928:                ppij=ppij+p3mat[i][j][h]*probs[(int)(agec)][i][k];
                   6929:              }
                   6930:              if (h*hstepm/YEARM*stepm== yearp) {
                   6931:                fprintf(ficresf," %.3f", p3mat[i][j][h]);
                   6932:              }
                   6933:            } /* end i */
                   6934:            if (h*hstepm/YEARM*stepm==yearp) {
                   6935:              fprintf(ficresf," %.3f", ppij);
                   6936:            }
                   6937:          }/* end j */
                   6938:        } /* end h */
                   6939:        free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   6940:       } /* end agec */
                   6941:     } /* end yearp */
                   6942:   } /* end  k */
1.219     brouard  6943:        
1.126     brouard  6944:   fclose(ficresf);
1.215     brouard  6945:   printf("End of Computing forecasting \n");
                   6946:   fprintf(ficlog,"End of Computing forecasting\n");
                   6947: 
1.126     brouard  6948: }
                   6949: 
1.218     brouard  6950: /* /\************** Back Forecasting ******************\/ */
1.225     brouard  6951: /* void prevbackforecast(char fileres[], double anback1, double mback1, double jback1, double ageminpar, double agemax, double dateprev1, double dateprev2, int mobilav, double bage, double fage, int firstpass, int lastpass, double anback2, double p[], int cptcoveff){ */
1.218     brouard  6952: /*   /\* back1, year, month, day of starting backection  */
                   6953: /*      agemin, agemax range of age */
                   6954: /*      dateprev1 dateprev2 range of dates during which prevalence is computed */
                   6955: /*      anback2 year of en of backection (same day and month as back1). */
                   6956: /*   *\/ */
                   6957: /*   int yearp, stepsize, hstepm, nhstepm, j, k, cptcod, i, h, i1; */
                   6958: /*   double agec; /\* generic age *\/ */
                   6959: /*   double agelim, ppij, yp,yp1,yp2,jprojmean,mprojmean,anprojmean; */
                   6960: /*   double *popeffectif,*popcount; */
                   6961: /*   double ***p3mat; */
                   6962: /*   /\* double ***mobaverage; *\/ */
                   6963: /*   char fileresfb[FILENAMELENGTH]; */
                   6964:        
                   6965: /*   agelim=AGESUP; */
                   6966: /*   /\* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people */
                   6967: /*      in each health status at the date of interview (if between dateprev1 and dateprev2). */
                   6968: /*      We still use firstpass and lastpass as another selection. */
                   6969: /*   *\/ */
                   6970: /*   /\* freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint,strstart,\ *\/ */
                   6971: /*   /\*             firstpass, lastpass,  stepm,  weightopt, model); *\/ */
                   6972: /*   prevalence(probs, ageminpar, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass); */
                   6973:        
                   6974: /*   strcpy(fileresfb,"FB_");  */
                   6975: /*   strcat(fileresfb,fileresu); */
                   6976: /*   if((ficresfb=fopen(fileresfb,"w"))==NULL) { */
                   6977: /*     printf("Problem with back forecast resultfile: %s\n", fileresfb); */
                   6978: /*     fprintf(ficlog,"Problem with back forecast resultfile: %s\n", fileresfb); */
                   6979: /*   } */
                   6980: /*   printf("Computing back forecasting: result on file '%s', please wait... \n", fileresfb); */
                   6981: /*   fprintf(ficlog,"Computing back forecasting: result on file '%s', please wait... \n", fileresfb); */
                   6982:        
1.225     brouard  6983: /*   if (cptcoveff==0) ncodemax[cptcoveff]=1; */
1.218     brouard  6984:        
                   6985: /*   /\* if (mobilav!=0) { *\/ */
                   6986: /*   /\*   mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); *\/ */
                   6987: /*   /\*   if (movingaverage(probs, ageminpar, fage, mobaverage,mobilav)!=0){ *\/ */
                   6988: /*   /\*     fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav); *\/ */
                   6989: /*   /\*     printf(" Error in movingaverage mobilav=%d\n",mobilav); *\/ */
                   6990: /*   /\*   } *\/ */
                   6991: /*   /\* } *\/ */
                   6992:        
                   6993: /*   stepsize=(int) (stepm+YEARM-1)/YEARM; */
                   6994: /*   if (stepm<=12) stepsize=1; */
                   6995: /*   if(estepm < stepm){ */
                   6996: /*     printf ("Problem %d lower than %d\n",estepm, stepm); */
                   6997: /*   } */
                   6998: /*   else  hstepm=estepm;    */
                   6999:        
                   7000: /*   hstepm=hstepm/stepm;  */
                   7001: /*   yp1=modf(dateintmean,&yp);/\* extracts integral of datemean in yp  and */
                   7002: /*                                fractional in yp1 *\/ */
                   7003: /*   anprojmean=yp; */
                   7004: /*   yp2=modf((yp1*12),&yp); */
                   7005: /*   mprojmean=yp; */
                   7006: /*   yp1=modf((yp2*30.5),&yp); */
                   7007: /*   jprojmean=yp; */
                   7008: /*   if(jprojmean==0) jprojmean=1; */
                   7009: /*   if(mprojmean==0) jprojmean=1; */
                   7010:        
1.225     brouard  7011: /*   i1=cptcoveff; */
1.218     brouard  7012: /*   if (cptcovn < 1){i1=1;} */
1.217     brouard  7013:   
1.218     brouard  7014: /*   fprintf(ficresfb,"# Mean day of interviews %.lf/%.lf/%.lf (%.2f) between %.2f and %.2f \n",jprojmean,mprojmean,anprojmean,dateintmean,dateprev1,dateprev2);  */
1.217     brouard  7015:   
1.218     brouard  7016: /*   fprintf(ficresfb,"#****** Routine prevbackforecast **\n"); */
                   7017:        
                   7018: /*     /\*           if (h==(int)(YEARM*yearp)){ *\/ */
                   7019: /*   for(cptcov=1, k=0;cptcov<=i1;cptcov++){ */
1.225     brouard  7020: /*     for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){ */
1.218     brouard  7021: /*       k=k+1; */
                   7022: /*       fprintf(ficresfb,"\n#****** hbijx=probability over h years, hp.jx is weighted by observed prev \n#"); */
1.225     brouard  7023: /*       for(j=1;j<=cptcoveff;j++) { */
1.218     brouard  7024: /*                             fprintf(ficresfb," V%d (=) %d",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]); */
                   7025: /*       } */
                   7026: /*       fprintf(ficresfb," yearbproj age"); */
                   7027: /*       for(j=1; j<=nlstate+ndeath;j++){  */
                   7028: /*                             for(i=1; i<=nlstate;i++)               */
                   7029: /*           fprintf(ficresfb," p%d%d",i,j); */
                   7030: /*                             fprintf(ficresfb," p.%d",j); */
                   7031: /*       } */
                   7032: /*       for (yearp=0; yearp>=(anback2-anback1);yearp -=stepsize) {  */
                   7033: /*                             /\* for (yearp=0; yearp<=(anproj2-anproj1);yearp +=stepsize) {  *\/ */
                   7034: /*                             fprintf(ficresfb,"\n"); */
                   7035: /*                             fprintf(ficresfb,"\n# Back Forecasting at date %.lf/%.lf/%.lf ",jback1,mback1,anback1+yearp);    */
                   7036: /*                             for (agec=fage; agec>=(ageminpar-1); agec--){  */
                   7037: /*                                     nhstepm=(int) rint((agelim-agec)*YEARM/stepm);  */
                   7038: /*                                     nhstepm = nhstepm/hstepm;  */
                   7039: /*                                     p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); */
                   7040: /*                                     oldm=oldms;savm=savms; */
                   7041: /*                                     hbxij(p3mat,nhstepm,agec,hstepm,p,prevacurrent,nlstate,stepm,oldm,savm,oldm,savm, dnewm, doldm, dsavm, k);       */
                   7042: /*                                     for (h=0; h<=nhstepm; h++){ */
                   7043: /*                                             if (h*hstepm/YEARM*stepm ==yearp) { */
                   7044: /*               fprintf(ficresfb,"\n"); */
1.225     brouard  7045: /*               for(j=1;j<=cptcoveff;j++)  */
1.218     brouard  7046: /*                 fprintf(ficresfb,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]); */
                   7047: /*                                                     fprintf(ficresfb,"%.f %.f ",anback1+yearp,agec+h*hstepm/YEARM*stepm); */
                   7048: /*                                             }  */
                   7049: /*                                             for(j=1; j<=nlstate+ndeath;j++) { */
                   7050: /*                                                     ppij=0.; */
                   7051: /*                                                     for(i=1; i<=nlstate;i++) { */
                   7052: /*                                                             if (mobilav==1)  */
                   7053: /*                                                                     ppij=ppij+p3mat[i][j][h]*mobaverage[(int)agec][i][cptcod]; */
                   7054: /*                                                             else { */
                   7055: /*                                                                     ppij=ppij+p3mat[i][j][h]*probs[(int)(agec)][i][cptcod]; */
                   7056: /*                                                             } */
                   7057: /*                                                             if (h*hstepm/YEARM*stepm== yearp) { */
                   7058: /*                                                                     fprintf(ficresfb," %.3f", p3mat[i][j][h]); */
                   7059: /*                                                             } */
                   7060: /*                                                     } /\* end i *\/ */
                   7061: /*                                                     if (h*hstepm/YEARM*stepm==yearp) { */
                   7062: /*                                                             fprintf(ficresfb," %.3f", ppij); */
                   7063: /*                                                     } */
                   7064: /*                                             }/\* end j *\/ */
                   7065: /*                                     } /\* end h *\/ */
                   7066: /*                                     free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); */
                   7067: /*                             } /\* end agec *\/ */
                   7068: /*       } /\* end yearp *\/ */
                   7069: /*     } /\* end cptcod *\/ */
                   7070: /*   } /\* end  cptcov *\/ */
                   7071:        
                   7072: /*   /\* if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); *\/ */
                   7073:        
                   7074: /*   fclose(ficresfb); */
                   7075: /*   printf("End of Computing Back forecasting \n"); */
                   7076: /*   fprintf(ficlog,"End of Computing Back forecasting\n"); */
1.217     brouard  7077:        
1.218     brouard  7078: /* } */
1.217     brouard  7079: 
1.126     brouard  7080: /************** Forecasting *****not tested NB*************/
1.227     brouard  7081: /* void populforecast(char fileres[], double anpyram,double mpyram,double jpyram,double ageminpar, double agemax,double dateprev1, double dateprev2s, int mobilav, double agedeb, double fage, int popforecast, char popfile[], double anpyram1,double p[], int i2){ */
1.126     brouard  7082:   
1.227     brouard  7083: /*   int cpt, stepsize, hstepm, nhstepm, j,k,c, cptcod, i,h; */
                   7084: /*   int *popage; */
                   7085: /*   double calagedatem, agelim, kk1, kk2; */
                   7086: /*   double *popeffectif,*popcount; */
                   7087: /*   double ***p3mat,***tabpop,***tabpopprev; */
                   7088: /*   /\* double ***mobaverage; *\/ */
                   7089: /*   char filerespop[FILENAMELENGTH]; */
1.126     brouard  7090: 
1.227     brouard  7091: /*   tabpop= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   7092: /*   tabpopprev= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   7093: /*   agelim=AGESUP; */
                   7094: /*   calagedatem=(anpyram+mpyram/12.+jpyram/365.-dateintmean)*YEARM; */
1.126     brouard  7095:   
1.227     brouard  7096: /*   prevalence(probs, ageminpar, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass); */
1.126     brouard  7097:   
                   7098:   
1.227     brouard  7099: /*   strcpy(filerespop,"POP_");  */
                   7100: /*   strcat(filerespop,fileresu); */
                   7101: /*   if((ficrespop=fopen(filerespop,"w"))==NULL) { */
                   7102: /*     printf("Problem with forecast resultfile: %s\n", filerespop); */
                   7103: /*     fprintf(ficlog,"Problem with forecast resultfile: %s\n", filerespop); */
                   7104: /*   } */
                   7105: /*   printf("Computing forecasting: result on file '%s' \n", filerespop); */
                   7106: /*   fprintf(ficlog,"Computing forecasting: result on file '%s' \n", filerespop); */
1.126     brouard  7107: 
1.227     brouard  7108: /*   if (cptcoveff==0) ncodemax[cptcoveff]=1; */
1.126     brouard  7109: 
1.227     brouard  7110: /*   /\* if (mobilav!=0) { *\/ */
                   7111: /*   /\*   mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); *\/ */
                   7112: /*   /\*   if (movingaverage(probs, ageminpar, fage, mobaverage,mobilav)!=0){ *\/ */
                   7113: /*   /\*     fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav); *\/ */
                   7114: /*   /\*     printf(" Error in movingaverage mobilav=%d\n",mobilav); *\/ */
                   7115: /*   /\*   } *\/ */
                   7116: /*   /\* } *\/ */
1.126     brouard  7117: 
1.227     brouard  7118: /*   stepsize=(int) (stepm+YEARM-1)/YEARM; */
                   7119: /*   if (stepm<=12) stepsize=1; */
1.126     brouard  7120:   
1.227     brouard  7121: /*   agelim=AGESUP; */
1.126     brouard  7122:   
1.227     brouard  7123: /*   hstepm=1; */
                   7124: /*   hstepm=hstepm/stepm;  */
1.218     brouard  7125:        
1.227     brouard  7126: /*   if (popforecast==1) { */
                   7127: /*     if((ficpop=fopen(popfile,"r"))==NULL) { */
                   7128: /*       printf("Problem with population file : %s\n",popfile);exit(0); */
                   7129: /*       fprintf(ficlog,"Problem with population file : %s\n",popfile);exit(0); */
                   7130: /*     }  */
                   7131: /*     popage=ivector(0,AGESUP); */
                   7132: /*     popeffectif=vector(0,AGESUP); */
                   7133: /*     popcount=vector(0,AGESUP); */
1.126     brouard  7134:     
1.227     brouard  7135: /*     i=1;    */
                   7136: /*     while ((c=fscanf(ficpop,"%d %lf\n",&popage[i],&popcount[i])) != EOF) i=i+1; */
1.218     brouard  7137:     
1.227     brouard  7138: /*     imx=i; */
                   7139: /*     for (i=1; i<imx;i++) popeffectif[popage[i]]=popcount[i]; */
                   7140: /*   } */
1.218     brouard  7141:   
1.227     brouard  7142: /*   for(cptcov=1,k=0;cptcov<=i2;cptcov++){ */
                   7143: /*     for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){ */
                   7144: /*       k=k+1; */
                   7145: /*       fprintf(ficrespop,"\n#******"); */
                   7146: /*       for(j=1;j<=cptcoveff;j++) { */
                   7147: /*     fprintf(ficrespop," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]); */
                   7148: /*       } */
                   7149: /*       fprintf(ficrespop,"******\n"); */
                   7150: /*       fprintf(ficrespop,"# Age"); */
                   7151: /*       for(j=1; j<=nlstate+ndeath;j++) fprintf(ficrespop," P.%d",j); */
                   7152: /*       if (popforecast==1)  fprintf(ficrespop," [Population]"); */
1.126     brouard  7153:       
1.227     brouard  7154: /*       for (cpt=0; cpt<=0;cpt++) {  */
                   7155: /*     fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);    */
1.126     brouard  7156:        
1.227     brouard  7157: /*     for (agedeb=(fage-((int)calagedatem %12/12.)); agedeb>=(ageminpar-((int)calagedatem %12)/12.); agedeb--){  */
                   7158: /*       nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm);  */
                   7159: /*       nhstepm = nhstepm/hstepm;  */
1.126     brouard  7160:          
1.227     brouard  7161: /*       p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); */
                   7162: /*       oldm=oldms;savm=savms; */
                   7163: /*       hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);   */
1.218     brouard  7164:          
1.227     brouard  7165: /*       for (h=0; h<=nhstepm; h++){ */
                   7166: /*         if (h==(int) (calagedatem+YEARM*cpt)) { */
                   7167: /*           fprintf(ficrespop,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm); */
                   7168: /*         }  */
                   7169: /*         for(j=1; j<=nlstate+ndeath;j++) { */
                   7170: /*           kk1=0.;kk2=0; */
                   7171: /*           for(i=1; i<=nlstate;i++) {               */
                   7172: /*             if (mobilav==1)  */
                   7173: /*               kk1=kk1+p3mat[i][j][h]*mobaverage[(int)agedeb+1][i][cptcod]; */
                   7174: /*             else { */
                   7175: /*               kk1=kk1+p3mat[i][j][h]*probs[(int)(agedeb+1)][i][cptcod]; */
                   7176: /*             } */
                   7177: /*           } */
                   7178: /*           if (h==(int)(calagedatem+12*cpt)){ */
                   7179: /*             tabpop[(int)(agedeb)][j][cptcod]=kk1; */
                   7180: /*             /\*fprintf(ficrespop," %.3f", kk1); */
                   7181: /*               if (popforecast==1) fprintf(ficrespop," [%.f]", kk1*popeffectif[(int)agedeb+1]);*\/ */
                   7182: /*           } */
                   7183: /*         } */
                   7184: /*         for(i=1; i<=nlstate;i++){ */
                   7185: /*           kk1=0.; */
                   7186: /*           for(j=1; j<=nlstate;j++){ */
                   7187: /*             kk1= kk1+tabpop[(int)(agedeb)][j][cptcod];  */
                   7188: /*           } */
                   7189: /*           tabpopprev[(int)(agedeb)][i][cptcod]=tabpop[(int)(agedeb)][i][cptcod]/kk1*popeffectif[(int)(agedeb+(calagedatem+12*cpt)*hstepm/YEARM*stepm-1)]; */
                   7190: /*         } */
1.218     brouard  7191:            
1.227     brouard  7192: /*         if (h==(int)(calagedatem+12*cpt)) */
                   7193: /*           for(j=1; j<=nlstate;j++)  */
                   7194: /*             fprintf(ficrespop," %15.2f",tabpopprev[(int)(agedeb+1)][j][cptcod]); */
                   7195: /*       } */
                   7196: /*       free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); */
                   7197: /*     } */
                   7198: /*       } */
1.218     brouard  7199:       
1.227     brouard  7200: /*       /\******\/ */
1.218     brouard  7201:       
1.227     brouard  7202: /*       for (cpt=1; cpt<=(anpyram1-anpyram);cpt++) {  */
                   7203: /*     fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);    */
                   7204: /*     for (agedeb=(fage-((int)calagedatem %12/12.)); agedeb>=(ageminpar-((int)calagedatem %12)/12.); agedeb--){  */
                   7205: /*       nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm);  */
                   7206: /*       nhstepm = nhstepm/hstepm;  */
1.126     brouard  7207:          
1.227     brouard  7208: /*       p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); */
                   7209: /*       oldm=oldms;savm=savms; */
                   7210: /*       hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);   */
                   7211: /*       for (h=0; h<=nhstepm; h++){ */
                   7212: /*         if (h==(int) (calagedatem+YEARM*cpt)) { */
                   7213: /*           fprintf(ficresf,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm); */
                   7214: /*         }  */
                   7215: /*         for(j=1; j<=nlstate+ndeath;j++) { */
                   7216: /*           kk1=0.;kk2=0; */
                   7217: /*           for(i=1; i<=nlstate;i++) {               */
                   7218: /*             kk1=kk1+p3mat[i][j][h]*tabpopprev[(int)agedeb+1][i][cptcod];     */
                   7219: /*           } */
                   7220: /*           if (h==(int)(calagedatem+12*cpt)) fprintf(ficresf," %15.2f", kk1);         */
                   7221: /*         } */
                   7222: /*       } */
                   7223: /*       free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); */
                   7224: /*     } */
                   7225: /*       } */
                   7226: /*     }  */
                   7227: /*   } */
1.218     brouard  7228:   
1.227     brouard  7229: /*   /\* if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); *\/ */
1.218     brouard  7230:   
1.227     brouard  7231: /*   if (popforecast==1) { */
                   7232: /*     free_ivector(popage,0,AGESUP); */
                   7233: /*     free_vector(popeffectif,0,AGESUP); */
                   7234: /*     free_vector(popcount,0,AGESUP); */
                   7235: /*   } */
                   7236: /*   free_ma3x(tabpop,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   7237: /*   free_ma3x(tabpopprev,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   7238: /*   fclose(ficrespop); */
                   7239: /* } /\* End of popforecast *\/ */
1.218     brouard  7240:  
1.126     brouard  7241: int fileappend(FILE *fichier, char *optionfich)
                   7242: {
                   7243:   if((fichier=fopen(optionfich,"a"))==NULL) {
                   7244:     printf("Problem with file: %s\n", optionfich);
                   7245:     fprintf(ficlog,"Problem with file: %s\n", optionfich);
                   7246:     return (0);
                   7247:   }
                   7248:   fflush(fichier);
                   7249:   return (1);
                   7250: }
                   7251: 
                   7252: 
                   7253: /**************** function prwizard **********************/
                   7254: void prwizard(int ncovmodel, int nlstate, int ndeath,  char model[], FILE *ficparo)
                   7255: {
                   7256: 
                   7257:   /* Wizard to print covariance matrix template */
                   7258: 
1.164     brouard  7259:   char ca[32], cb[32];
                   7260:   int i,j, k, li, lj, lk, ll, jj, npar, itimes;
1.126     brouard  7261:   int numlinepar;
                   7262: 
                   7263:   printf("# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   7264:   fprintf(ficparo,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   7265:   for(i=1; i <=nlstate; i++){
                   7266:     jj=0;
                   7267:     for(j=1; j <=nlstate+ndeath; j++){
                   7268:       if(j==i) continue;
                   7269:       jj++;
                   7270:       /*ca[0]= k+'a'-1;ca[1]='\0';*/
                   7271:       printf("%1d%1d",i,j);
                   7272:       fprintf(ficparo,"%1d%1d",i,j);
                   7273:       for(k=1; k<=ncovmodel;k++){
                   7274:        /*        printf(" %lf",param[i][j][k]); */
                   7275:        /*        fprintf(ficparo," %lf",param[i][j][k]); */
                   7276:        printf(" 0.");
                   7277:        fprintf(ficparo," 0.");
                   7278:       }
                   7279:       printf("\n");
                   7280:       fprintf(ficparo,"\n");
                   7281:     }
                   7282:   }
                   7283:   printf("# Scales (for hessian or gradient estimation)\n");
                   7284:   fprintf(ficparo,"# Scales (for hessian or gradient estimation)\n");
                   7285:   npar= (nlstate+ndeath-1)*nlstate*ncovmodel; /* Number of parameters*/ 
                   7286:   for(i=1; i <=nlstate; i++){
                   7287:     jj=0;
                   7288:     for(j=1; j <=nlstate+ndeath; j++){
                   7289:       if(j==i) continue;
                   7290:       jj++;
                   7291:       fprintf(ficparo,"%1d%1d",i,j);
                   7292:       printf("%1d%1d",i,j);
                   7293:       fflush(stdout);
                   7294:       for(k=1; k<=ncovmodel;k++){
                   7295:        /*      printf(" %le",delti3[i][j][k]); */
                   7296:        /*      fprintf(ficparo," %le",delti3[i][j][k]); */
                   7297:        printf(" 0.");
                   7298:        fprintf(ficparo," 0.");
                   7299:       }
                   7300:       numlinepar++;
                   7301:       printf("\n");
                   7302:       fprintf(ficparo,"\n");
                   7303:     }
                   7304:   }
                   7305:   printf("# Covariance matrix\n");
                   7306: /* # 121 Var(a12)\n\ */
                   7307: /* # 122 Cov(b12,a12) Var(b12)\n\ */
                   7308: /* # 131 Cov(a13,a12) Cov(a13,b12, Var(a13)\n\ */
                   7309: /* # 132 Cov(b13,a12) Cov(b13,b12, Cov(b13,a13) Var(b13)\n\ */
                   7310: /* # 212 Cov(a21,a12) Cov(a21,b12, Cov(a21,a13) Cov(a21,b13) Var(a21)\n\ */
                   7311: /* # 212 Cov(b21,a12) Cov(b21,b12, Cov(b21,a13) Cov(b21,b13) Cov(b21,a21) Var(b21)\n\ */
                   7312: /* # 232 Cov(a23,a12) Cov(a23,b12, Cov(a23,a13) Cov(a23,b13) Cov(a23,a21) Cov(a23,b21) Var(a23)\n\ */
                   7313: /* # 232 Cov(b23,a12) Cov(b23,b12) ... Var (b23)\n" */
                   7314:   fflush(stdout);
                   7315:   fprintf(ficparo,"# Covariance matrix\n");
                   7316:   /* # 121 Var(a12)\n\ */
                   7317:   /* # 122 Cov(b12,a12) Var(b12)\n\ */
                   7318:   /* #   ...\n\ */
                   7319:   /* # 232 Cov(b23,a12)  Cov(b23,b12) ... Var (b23)\n" */
                   7320:   
                   7321:   for(itimes=1;itimes<=2;itimes++){
                   7322:     jj=0;
                   7323:     for(i=1; i <=nlstate; i++){
                   7324:       for(j=1; j <=nlstate+ndeath; j++){
                   7325:        if(j==i) continue;
                   7326:        for(k=1; k<=ncovmodel;k++){
                   7327:          jj++;
                   7328:          ca[0]= k+'a'-1;ca[1]='\0';
                   7329:          if(itimes==1){
                   7330:            printf("#%1d%1d%d",i,j,k);
                   7331:            fprintf(ficparo,"#%1d%1d%d",i,j,k);
                   7332:          }else{
                   7333:            printf("%1d%1d%d",i,j,k);
                   7334:            fprintf(ficparo,"%1d%1d%d",i,j,k);
                   7335:            /*  printf(" %.5le",matcov[i][j]); */
                   7336:          }
                   7337:          ll=0;
                   7338:          for(li=1;li <=nlstate; li++){
                   7339:            for(lj=1;lj <=nlstate+ndeath; lj++){
                   7340:              if(lj==li) continue;
                   7341:              for(lk=1;lk<=ncovmodel;lk++){
                   7342:                ll++;
                   7343:                if(ll<=jj){
                   7344:                  cb[0]= lk +'a'-1;cb[1]='\0';
                   7345:                  if(ll<jj){
                   7346:                    if(itimes==1){
                   7347:                      printf(" Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   7348:                      fprintf(ficparo," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   7349:                    }else{
                   7350:                      printf(" 0.");
                   7351:                      fprintf(ficparo," 0.");
                   7352:                    }
                   7353:                  }else{
                   7354:                    if(itimes==1){
                   7355:                      printf(" Var(%s%1d%1d)",ca,i,j);
                   7356:                      fprintf(ficparo," Var(%s%1d%1d)",ca,i,j);
                   7357:                    }else{
                   7358:                      printf(" 0.");
                   7359:                      fprintf(ficparo," 0.");
                   7360:                    }
                   7361:                  }
                   7362:                }
                   7363:              } /* end lk */
                   7364:            } /* end lj */
                   7365:          } /* end li */
                   7366:          printf("\n");
                   7367:          fprintf(ficparo,"\n");
                   7368:          numlinepar++;
                   7369:        } /* end k*/
                   7370:       } /*end j */
                   7371:     } /* end i */
                   7372:   } /* end itimes */
                   7373: 
                   7374: } /* end of prwizard */
                   7375: /******************* Gompertz Likelihood ******************************/
                   7376: double gompertz(double x[])
                   7377: { 
                   7378:   double A,B,L=0.0,sump=0.,num=0.;
                   7379:   int i,n=0; /* n is the size of the sample */
                   7380: 
1.220     brouard  7381:   for (i=1;i<=imx ; i++) {
1.126     brouard  7382:     sump=sump+weight[i];
                   7383:     /*    sump=sump+1;*/
                   7384:     num=num+1;
                   7385:   }
                   7386:  
                   7387:  
                   7388:   /* for (i=0; i<=imx; i++) 
                   7389:      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]);*/
                   7390: 
                   7391:   for (i=1;i<=imx ; i++)
                   7392:     {
                   7393:       if (cens[i] == 1 && wav[i]>1)
                   7394:        A=-x[1]/(x[2])*(exp(x[2]*(agecens[i]-agegomp))-exp(x[2]*(ageexmed[i]-agegomp)));
                   7395:       
                   7396:       if (cens[i] == 0 && wav[i]>1)
                   7397:        A=-x[1]/(x[2])*(exp(x[2]*(agedc[i]-agegomp))-exp(x[2]*(ageexmed[i]-agegomp)))
                   7398:             +log(x[1]/YEARM)+x[2]*(agedc[i]-agegomp)+log(YEARM);  
                   7399:       
                   7400:       /*if (wav[i] > 1 && agecens[i] > 15) {*/ /* ??? */
                   7401:       if (wav[i] > 1 ) { /* ??? */
                   7402:        L=L+A*weight[i];
                   7403:        /*      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]);*/
                   7404:       }
                   7405:     }
                   7406: 
                   7407:  /*printf("x1=%2.9f x2=%2.9f x3=%2.9f L=%f\n",x[1],x[2],x[3],L);*/
                   7408:  
                   7409:   return -2*L*num/sump;
                   7410: }
                   7411: 
1.136     brouard  7412: #ifdef GSL
                   7413: /******************* Gompertz_f Likelihood ******************************/
                   7414: double gompertz_f(const gsl_vector *v, void *params)
                   7415: { 
                   7416:   double A,B,LL=0.0,sump=0.,num=0.;
                   7417:   double *x= (double *) v->data;
                   7418:   int i,n=0; /* n is the size of the sample */
                   7419: 
                   7420:   for (i=0;i<=imx-1 ; i++) {
                   7421:     sump=sump+weight[i];
                   7422:     /*    sump=sump+1;*/
                   7423:     num=num+1;
                   7424:   }
                   7425:  
                   7426:  
                   7427:   /* for (i=0; i<=imx; i++) 
                   7428:      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]);*/
                   7429:   printf("x[0]=%lf x[1]=%lf\n",x[0],x[1]);
                   7430:   for (i=1;i<=imx ; i++)
                   7431:     {
                   7432:       if (cens[i] == 1 && wav[i]>1)
                   7433:        A=-x[0]/(x[1])*(exp(x[1]*(agecens[i]-agegomp))-exp(x[1]*(ageexmed[i]-agegomp)));
                   7434:       
                   7435:       if (cens[i] == 0 && wav[i]>1)
                   7436:        A=-x[0]/(x[1])*(exp(x[1]*(agedc[i]-agegomp))-exp(x[1]*(ageexmed[i]-agegomp)))
                   7437:             +log(x[0]/YEARM)+x[1]*(agedc[i]-agegomp)+log(YEARM);  
                   7438:       
                   7439:       /*if (wav[i] > 1 && agecens[i] > 15) {*/ /* ??? */
                   7440:       if (wav[i] > 1 ) { /* ??? */
                   7441:        LL=LL+A*weight[i];
                   7442:        /*      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]);*/
                   7443:       }
                   7444:     }
                   7445: 
                   7446:  /*printf("x1=%2.9f x2=%2.9f x3=%2.9f L=%f\n",x[1],x[2],x[3],L);*/
                   7447:   printf("x[0]=%lf x[1]=%lf -2*LL*num/sump=%lf\n",x[0],x[1],-2*LL*num/sump);
                   7448:  
                   7449:   return -2*LL*num/sump;
                   7450: }
                   7451: #endif
                   7452: 
1.126     brouard  7453: /******************* Printing html file ***********/
1.201     brouard  7454: void printinghtmlmort(char fileresu[], char title[], char datafile[], int firstpass, \
1.126     brouard  7455:                  int lastpass, int stepm, int weightopt, char model[],\
                   7456:                  int imx,  double p[],double **matcov,double agemortsup){
                   7457:   int i,k;
                   7458: 
                   7459:   fprintf(fichtm,"<ul><li><h4>Result files </h4>\n Force of mortality. Parameters of the Gompertz fit (with confidence interval in brackets):<br>");
                   7460:   fprintf(fichtm,"  mu(age) =%lf*exp(%lf*(age-%d)) per year<br><br>",p[1],p[2],agegomp);
                   7461:   for (i=1;i<=2;i++) 
                   7462:     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  7463:   fprintf(fichtm,"<br><br><img src=\"graphmort.svg\">");
1.126     brouard  7464:   fprintf(fichtm,"</ul>");
                   7465: 
                   7466: fprintf(fichtm,"<ul><li><h4>Life table</h4>\n <br>");
                   7467: 
                   7468:  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>");
                   7469: 
                   7470:  for (k=agegomp;k<(agemortsup-2);k++) 
                   7471:    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]);
                   7472: 
                   7473:  
                   7474:   fflush(fichtm);
                   7475: }
                   7476: 
                   7477: /******************* Gnuplot file **************/
1.201     brouard  7478: void printinggnuplotmort(char fileresu[], char optionfilefiname[], double ageminpar, double agemaxpar, double fage , char pathc[], double p[]){
1.126     brouard  7479: 
                   7480:   char dirfileres[132],optfileres[132];
1.164     brouard  7481: 
1.126     brouard  7482:   int ng;
                   7483: 
                   7484: 
                   7485:   /*#ifdef windows */
                   7486:   fprintf(ficgp,"cd \"%s\" \n",pathc);
                   7487:     /*#endif */
                   7488: 
                   7489: 
                   7490:   strcpy(dirfileres,optionfilefiname);
                   7491:   strcpy(optfileres,"vpl");
1.199     brouard  7492:   fprintf(ficgp,"set out \"graphmort.svg\"\n "); 
1.126     brouard  7493:   fprintf(ficgp,"set xlabel \"Age\"\n set ylabel \"Force of mortality (per year)\" \n "); 
1.199     brouard  7494:   fprintf(ficgp, "set ter svg size 640, 480\n set log y\n"); 
1.145     brouard  7495:   /* fprintf(ficgp, "set size 0.65,0.65\n"); */
1.126     brouard  7496:   fprintf(ficgp,"plot [%d:100] %lf*exp(%lf*(x-%d))",agegomp,p[1],p[2],agegomp);
                   7497: 
                   7498: } 
                   7499: 
1.136     brouard  7500: int readdata(char datafile[], int firstobs, int lastobs, int *imax)
                   7501: {
1.126     brouard  7502: 
1.136     brouard  7503:   /*-------- data file ----------*/
                   7504:   FILE *fic;
                   7505:   char dummy[]="                         ";
1.223     brouard  7506:   int i=0, j=0, n=0, iv=0;
                   7507:   int lstra;
1.136     brouard  7508:   int linei, month, year,iout;
                   7509:   char line[MAXLINE], linetmp[MAXLINE];
1.164     brouard  7510:   char stra[MAXLINE], strb[MAXLINE];
1.136     brouard  7511:   char *stratrunc;
1.223     brouard  7512: 
1.126     brouard  7513: 
                   7514: 
1.136     brouard  7515:   if((fic=fopen(datafile,"r"))==NULL)    {
1.218     brouard  7516:     printf("Problem while opening datafile: %s with errno='%s'\n", datafile,strerror(errno));fflush(stdout);
                   7517:     fprintf(ficlog,"Problem while opening datafile: %s with errno='%s'\n", datafile,strerror(errno));fflush(ficlog);return 1;
1.136     brouard  7518:   }
1.126     brouard  7519: 
1.136     brouard  7520:   i=1;
                   7521:   linei=0;
                   7522:   while ((fgets(line, MAXLINE, fic) != NULL) &&((i >= firstobs) && (i <=lastobs))) {
                   7523:     linei=linei+1;
                   7524:     for(j=strlen(line); j>=0;j--){  /* Untabifies line */
                   7525:       if(line[j] == '\t')
                   7526:        line[j] = ' ';
                   7527:     }
                   7528:     for(j=strlen(line)-1; (line[j]==' ')||(line[j]==10)||(line[j]==13);j--){
                   7529:       ;
                   7530:     };
                   7531:     line[j+1]=0;  /* Trims blanks at end of line */
                   7532:     if(line[0]=='#'){
                   7533:       fprintf(ficlog,"Comment line\n%s\n",line);
                   7534:       printf("Comment line\n%s\n",line);
                   7535:       continue;
                   7536:     }
                   7537:     trimbb(linetmp,line); /* Trims multiple blanks in line */
1.164     brouard  7538:     strcpy(line, linetmp);
1.223     brouard  7539:     
                   7540:     /* Loops on waves */
                   7541:     for (j=maxwav;j>=1;j--){
                   7542:       for (iv=nqtv;iv>=1;iv--){  /* Loop  on time varying quantitative variables */
1.225     brouard  7543:        cutv(stra, strb, line, ' '); 
                   7544:        if(strb[0]=='.') { /* Missing value */
                   7545:          lval=-1;
                   7546:          cotqvar[j][iv][i]=-1; /* 0.0/0.0 */
                   7547:          if(isalpha(strb[1])) { /* .m or .d Really Missing value */
                   7548:            printf("Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be the %d th quantitative value out of %d measured at wave %d. If missing, you should remove this individual or impute a value.  Exiting.\n", strb, linei,i,line,iv, nqtv, j);
                   7549:            fprintf(ficlog,"Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be the %d th quantitative value out of %d measured at wave %d. If missing, you should remove this individual or impute a value.  Exiting.\n", strb, linei,i,line,iv, nqtv, j);fflush(ficlog);
                   7550:            return 1;
                   7551:          }
                   7552:        }else{
                   7553:          errno=0;
                   7554:          /* what_kind_of_number(strb); */
                   7555:          dval=strtod(strb,&endptr); 
                   7556:          /* if( strb[0]=='\0' || (*endptr != '\0')){ */
                   7557:          /* if(strb != endptr && *endptr == '\0') */
                   7558:          /*    dval=dlval; */
                   7559:          /* if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN)) */
                   7560:          if( strb[0]=='\0' || (*endptr != '\0')){
                   7561:            printf("Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be the %d th quantitative value out of %d measured at wave %d. Setting maxwav=%d might be wrong.  Exiting.\n", strb, linei,i,line,iv, nqtv, j,maxwav);
                   7562:            fprintf(ficlog,"Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be the %d th quantitative value out of %d measured at wave %d. Setting maxwav=%d might be wrong.  Exiting.\n", strb, linei,i,line, iv, nqtv, j,maxwav);fflush(ficlog);
                   7563:            return 1;
                   7564:          }
                   7565:          cotqvar[j][iv][i]=dval; 
                   7566:        }
                   7567:        strcpy(line,stra);
1.223     brouard  7568:       }/* end loop ntqv */
1.225     brouard  7569:       
1.223     brouard  7570:       for (iv=ntv;iv>=1;iv--){  /* Loop  on time varying dummies */
1.225     brouard  7571:        cutv(stra, strb, line, ' '); 
                   7572:        if(strb[0]=='.') { /* Missing value */
                   7573:          lval=-1;
                   7574:        }else{
                   7575:          errno=0;
                   7576:          lval=strtol(strb,&endptr,10); 
                   7577:          /*    if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN))*/
                   7578:          if( strb[0]=='\0' || (*endptr != '\0')){
                   7579:            printf("Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be the %d th dummy covariate out of %d measured at wave %d. Setting maxwav=%d might be wrong.  Exiting.\n", strb, linei,i,line,iv, ntv, j,maxwav);
                   7580:            fprintf(ficlog,"Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be the %d dummy covariate out of %d measured wave %d. Setting maxwav=%d might be wrong.  Exiting.\n", strb, linei,i,line,iv, ntv,j,maxwav);fflush(ficlog);
                   7581:            return 1;
                   7582:          }
                   7583:        }
                   7584:        if(lval <-1 || lval >1){
                   7585:          printf("Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
1.223     brouard  7586:  Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
                   7587:  for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
1.225     brouard  7588:  For example, for multinomial values like 1, 2 and 3,\n                        \
                   7589:  build V1=0 V2=0 for the reference value (1),\n                                \
                   7590:         V1=1 V2=0 for (2) \n                                           \
1.223     brouard  7591:  and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
1.225     brouard  7592:  output of IMaCh is often meaningless.\n                               \
1.223     brouard  7593:  Exiting.\n",lval,linei, i,line,j);
1.225     brouard  7594:          fprintf(ficlog,"Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
1.223     brouard  7595:  Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
                   7596:  for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
1.225     brouard  7597:  For example, for multinomial values like 1, 2 and 3,\n                        \
                   7598:  build V1=0 V2=0 for the reference value (1),\n                                \
                   7599:         V1=1 V2=0 for (2) \n                                           \
1.223     brouard  7600:  and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
                   7601:  output of IMaCh is often meaningless.\n                               \
                   7602:  Exiting.\n",lval,linei, i,line,j);fflush(ficlog);
1.225     brouard  7603:          return 1;
                   7604:        }
                   7605:        cotvar[j][iv][i]=(double)(lval);
                   7606:        strcpy(line,stra);
1.223     brouard  7607:       }/* end loop ntv */
1.225     brouard  7608:       
1.223     brouard  7609:       /* Statuses  at wave */
1.137     brouard  7610:       cutv(stra, strb, line, ' '); 
1.223     brouard  7611:       if(strb[0]=='.') { /* Missing value */
1.225     brouard  7612:        lval=-1;
1.136     brouard  7613:       }else{
1.225     brouard  7614:        errno=0;
                   7615:        lval=strtol(strb,&endptr,10); 
                   7616:        /*      if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN))*/
                   7617:        if( strb[0]=='\0' || (*endptr != '\0')){
                   7618:          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);
                   7619:          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);
                   7620:          return 1;
                   7621:        }
1.136     brouard  7622:       }
1.225     brouard  7623:       
1.136     brouard  7624:       s[j][i]=lval;
1.225     brouard  7625:       
1.223     brouard  7626:       /* Date of Interview */
1.136     brouard  7627:       strcpy(line,stra);
                   7628:       cutv(stra, strb,line,' ');
1.169     brouard  7629:       if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
1.136     brouard  7630:       }
1.169     brouard  7631:       else  if( (iout=sscanf(strb,"%s.",dummy)) != 0){
1.225     brouard  7632:        month=99;
                   7633:        year=9999;
1.136     brouard  7634:       }else{
1.225     brouard  7635:        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);
                   7636:        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);
                   7637:        return 1;
1.136     brouard  7638:       }
                   7639:       anint[j][i]= (double) year; 
                   7640:       mint[j][i]= (double)month; 
                   7641:       strcpy(line,stra);
1.223     brouard  7642:     } /* End loop on waves */
1.225     brouard  7643:     
1.223     brouard  7644:     /* Date of death */
1.136     brouard  7645:     cutv(stra, strb,line,' '); 
1.169     brouard  7646:     if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
1.136     brouard  7647:     }
1.169     brouard  7648:     else  if( (iout=sscanf(strb,"%s.",dummy)) != 0){
1.136     brouard  7649:       month=99;
                   7650:       year=9999;
                   7651:     }else{
1.141     brouard  7652:       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);
1.225     brouard  7653:       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);
                   7654:       return 1;
1.136     brouard  7655:     }
                   7656:     andc[i]=(double) year; 
                   7657:     moisdc[i]=(double) month; 
                   7658:     strcpy(line,stra);
                   7659:     
1.223     brouard  7660:     /* Date of birth */
1.136     brouard  7661:     cutv(stra, strb,line,' '); 
1.169     brouard  7662:     if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
1.136     brouard  7663:     }
1.169     brouard  7664:     else  if( (iout=sscanf(strb,"%s.", dummy)) != 0){
1.136     brouard  7665:       month=99;
                   7666:       year=9999;
                   7667:     }else{
1.141     brouard  7668:       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);
                   7669:       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);
1.225     brouard  7670:       return 1;
1.136     brouard  7671:     }
                   7672:     if (year==9999) {
1.141     brouard  7673:       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);
                   7674:       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);
1.225     brouard  7675:       return 1;
                   7676:       
1.136     brouard  7677:     }
                   7678:     annais[i]=(double)(year);
                   7679:     moisnais[i]=(double)(month); 
                   7680:     strcpy(line,stra);
1.225     brouard  7681:     
1.223     brouard  7682:     /* Sample weight */
1.136     brouard  7683:     cutv(stra, strb,line,' '); 
                   7684:     errno=0;
                   7685:     dval=strtod(strb,&endptr); 
                   7686:     if( strb[0]=='\0' || (*endptr != '\0')){
1.141     brouard  7687:       printf("Error reading data around '%f' at line number %d, \"%s\" for individual %d\nShould be a weight.  Exiting.\n",dval, i,line,linei);
                   7688:       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  7689:       fflush(ficlog);
                   7690:       return 1;
                   7691:     }
                   7692:     weight[i]=dval; 
                   7693:     strcpy(line,stra);
1.225     brouard  7694:     
1.223     brouard  7695:     for (iv=nqv;iv>=1;iv--){  /* Loop  on fixed quantitative variables */
                   7696:       cutv(stra, strb, line, ' '); 
                   7697:       if(strb[0]=='.') { /* Missing value */
1.225     brouard  7698:        lval=-1;
1.223     brouard  7699:       }else{
1.225     brouard  7700:        errno=0;
                   7701:        /* what_kind_of_number(strb); */
                   7702:        dval=strtod(strb,&endptr);
                   7703:        /* if(strb != endptr && *endptr == '\0') */
                   7704:        /*   dval=dlval; */
                   7705:        /* if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN)) */
                   7706:        if( strb[0]=='\0' || (*endptr != '\0')){
                   7707:          printf("Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be the %d th quantitative value (out of %d) constant for all waves. Setting maxwav=%d might be wrong.  Exiting.\n", strb, linei,i,line, iv, nqv, maxwav);
                   7708:          fprintf(ficlog,"Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be the %d th quantitative value (out of %d) constant for all waves. Setting maxwav=%d might be wrong.  Exiting.\n", strb, linei,i,line, iv, nqv, maxwav);fflush(ficlog);
                   7709:          return 1;
                   7710:        }
                   7711:        coqvar[iv][i]=dval; 
1.226     brouard  7712:        covar[ncovcol+iv][i]=dval; /* including qvar in standard covar for performance reasons */ 
1.223     brouard  7713:       }
                   7714:       strcpy(line,stra);
                   7715:     }/* end loop nqv */
1.136     brouard  7716:     
1.223     brouard  7717:     /* Covariate values */
1.136     brouard  7718:     for (j=ncovcol;j>=1;j--){
                   7719:       cutv(stra, strb,line,' '); 
1.223     brouard  7720:       if(strb[0]=='.') { /* Missing covariate value */
1.225     brouard  7721:        lval=-1;
1.136     brouard  7722:       }else{
1.225     brouard  7723:        errno=0;
                   7724:        lval=strtol(strb,&endptr,10); 
                   7725:        if( strb[0]=='\0' || (*endptr != '\0')){
                   7726:          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);
                   7727:          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);
                   7728:          return 1;
                   7729:        }
1.136     brouard  7730:       }
                   7731:       if(lval <-1 || lval >1){
1.225     brouard  7732:        printf("Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
1.136     brouard  7733:  Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
                   7734:  for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
1.225     brouard  7735:  For example, for multinomial values like 1, 2 and 3,\n                        \
                   7736:  build V1=0 V2=0 for the reference value (1),\n                                \
                   7737:         V1=1 V2=0 for (2) \n                                           \
1.136     brouard  7738:  and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
1.225     brouard  7739:  output of IMaCh is often meaningless.\n                               \
1.136     brouard  7740:  Exiting.\n",lval,linei, i,line,j);
1.225     brouard  7741:        fprintf(ficlog,"Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
1.136     brouard  7742:  Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
                   7743:  for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
1.225     brouard  7744:  For example, for multinomial values like 1, 2 and 3,\n                        \
                   7745:  build V1=0 V2=0 for the reference value (1),\n                                \
                   7746:         V1=1 V2=0 for (2) \n                                           \
1.136     brouard  7747:  and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
1.225     brouard  7748:  output of IMaCh is often meaningless.\n                               \
1.136     brouard  7749:  Exiting.\n",lval,linei, i,line,j);fflush(ficlog);
1.225     brouard  7750:        return 1;
1.136     brouard  7751:       }
                   7752:       covar[j][i]=(double)(lval);
                   7753:       strcpy(line,stra);
                   7754:     }  
                   7755:     lstra=strlen(stra);
1.225     brouard  7756:     
1.136     brouard  7757:     if(lstra > 9){ /* More than 2**32 or max of what printf can write with %ld */
                   7758:       stratrunc = &(stra[lstra-9]);
                   7759:       num[i]=atol(stratrunc);
                   7760:     }
                   7761:     else
                   7762:       num[i]=atol(stra);
                   7763:     /*if((s[2][i]==2) && (s[3][i]==-1)&&(s[4][i]==9)){
                   7764:       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;}*/
                   7765:     
                   7766:     i=i+1;
                   7767:   } /* End loop reading  data */
1.225     brouard  7768:   
1.136     brouard  7769:   *imax=i-1; /* Number of individuals */
                   7770:   fclose(fic);
1.225     brouard  7771:   
1.136     brouard  7772:   return (0);
1.164     brouard  7773:   /* endread: */
1.225     brouard  7774:   printf("Exiting readdata: ");
                   7775:   fclose(fic);
                   7776:   return (1);
1.223     brouard  7777: }
1.126     brouard  7778: 
1.145     brouard  7779: void removespace(char *str) {
                   7780:   char *p1 = str, *p2 = str;
                   7781:   do
                   7782:     while (*p2 == ' ')
                   7783:       p2++;
1.169     brouard  7784:   while (*p1++ == *p2++);
1.145     brouard  7785: }
                   7786: 
1.224     brouard  7787: int decodemodel ( char model[], int lastobs)
                   7788:  /**< This routine decode the model and returns:
                   7789:        * Model  V1+V2+V3+V8+V7*V8+V5*V6+V8*age+V3*age+age*age
                   7790:        * - nagesqr = 1 if age*age in the model, otherwise 0.
                   7791:        * - cptcovt total number of covariates of the model nbocc(+)+1 = 8 excepting constant and age and age*age
                   7792:        * - cptcovn or number of covariates k of the models excluding age*products =6 and age*age
                   7793:        * - cptcovage number of covariates with age*products =2
                   7794:        * - cptcovs number of simple covariates
                   7795:        * - 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
                   7796:        *     which is a new column after the 9 (ncovcol) variables. 
                   7797:        * - if k is a product Vn*Vm covar[k][i] is filled with correct values for each individual
                   7798:        * - Tprod[l] gives the kth covariates of the product Vn*Vm l=1 to cptcovprod-cptcovage
                   7799:        *    Tprod[1]@2 {5, 6}: position of first product V7*V8 is 5, and second V5*V6 is 6.
                   7800:        * - Tvard[k]  p Tvard[1][1]@4 {7, 8, 5, 6} for V7*V8 and V5*V6 .
                   7801:        */
1.136     brouard  7802: {
1.145     brouard  7803:   int i, j, k, ks;
1.227     brouard  7804:   int  j1, k1, k2, k3, k4;
1.136     brouard  7805:   char modelsav[80];
1.145     brouard  7806:   char stra[80], strb[80], strc[80], strd[80],stre[80];
1.187     brouard  7807:   char *strpt;
1.136     brouard  7808: 
1.145     brouard  7809:   /*removespace(model);*/
1.136     brouard  7810:   if (strlen(model) >1){ /* If there is at least 1 covariate */
1.145     brouard  7811:     j=0, j1=0, k1=0, k2=-1, ks=0, cptcovn=0;
1.137     brouard  7812:     if (strstr(model,"AGE") !=0){
1.192     brouard  7813:       printf("Error. AGE must be in lower case 'age' model=1+age+%s. ",model);
                   7814:       fprintf(ficlog,"Error. AGE must be in lower case model=1+age+%s. ",model);fflush(ficlog);
1.136     brouard  7815:       return 1;
                   7816:     }
1.141     brouard  7817:     if (strstr(model,"v") !=0){
                   7818:       printf("Error. 'v' must be in upper case 'V' model=%s ",model);
                   7819:       fprintf(ficlog,"Error. 'v' must be in upper case model=%s ",model);fflush(ficlog);
                   7820:       return 1;
                   7821:     }
1.187     brouard  7822:     strcpy(modelsav,model); 
                   7823:     if ((strpt=strstr(model,"age*age")) !=0){
                   7824:       printf(" strpt=%s, model=%s\n",strpt, model);
                   7825:       if(strpt != model){
1.225     brouard  7826:        printf("Error in model: 'model=%s'; 'age*age' should in first place before other covariates\n \
1.192     brouard  7827:  'model=1+age+age*age+V1.' or 'model=1+age+age*age+V1+V1*age.', please swap as well as \n \
1.187     brouard  7828:  corresponding column of parameters.\n",model);
1.225     brouard  7829:        fprintf(ficlog,"Error in model: 'model=%s'; 'age*age' should in first place before other covariates\n \
1.192     brouard  7830:  'model=1+age+age*age+V1.' or 'model=1+age+age*age+V1+V1*age.', please swap as well as \n \
1.187     brouard  7831:  corresponding column of parameters.\n",model); fflush(ficlog);
1.225     brouard  7832:        return 1;
                   7833:       }
1.187     brouard  7834:       nagesqr=1;
                   7835:       if (strstr(model,"+age*age") !=0)
1.225     brouard  7836:        substrchaine(modelsav, model, "+age*age");
1.187     brouard  7837:       else if (strstr(model,"age*age+") !=0)
1.225     brouard  7838:        substrchaine(modelsav, model, "age*age+");
1.187     brouard  7839:       else 
1.225     brouard  7840:        substrchaine(modelsav, model, "age*age");
1.187     brouard  7841:     }else
                   7842:       nagesqr=0;
                   7843:     if (strlen(modelsav) >1){
                   7844:       j=nbocc(modelsav,'+'); /**< j=Number of '+' */
                   7845:       j1=nbocc(modelsav,'*'); /**< j1=Number of '*' */
1.224     brouard  7846:       cptcovs=j+1-j1; /**<  Number of simple covariates V1+V1*age+V3 +V3*V4+age*age=> V1 + V3 =5-3=2  */
1.187     brouard  7847:       cptcovt= j+1; /* Number of total covariates in the model, not including
1.225     brouard  7848:                     * cst, age and age*age 
                   7849:                     * V1+V1*age+ V3 + V3*V4+age*age=> 3+1=4*/
                   7850:       /* including age products which are counted in cptcovage.
                   7851:        * but the covariates which are products must be treated 
                   7852:        * separately: ncovn=4- 2=2 (V1+V3). */
1.187     brouard  7853:       cptcovprod=j1; /**< Number of products  V1*V2 +v3*age = 2 */
                   7854:       cptcovprodnoage=0; /**< Number of covariate products without age: V3*V4 =1  */
1.225     brouard  7855:       
                   7856:       
1.187     brouard  7857:       /*   Design
                   7858:        *  V1   V2   V3   V4  V5  V6  V7  V8  V9 Weight
                   7859:        *  <          ncovcol=8                >
                   7860:        * Model V2 + V1 + V3*age + V3 + V5*V6 + V7*V8 + V8*age + V8
                   7861:        *   k=  1    2      3       4     5       6      7        8
                   7862:        *  cptcovn number of covariates (not including constant and age ) = # of + plus 1 = 7+1=8
                   7863:        *  covar[k,i], value of kth covariate if not including age for individual i:
1.224     brouard  7864:        *       covar[1][i]= (V1), covar[4][i]=(V4), covar[8][i]=(V8)
                   7865:        *  Tvar[k] # of the kth covariate:  Tvar[1]=2  Tvar[2]=1 Tvar[4]=3 Tvar[8]=8
1.187     brouard  7866:        *       if multiplied by age: V3*age Tvar[3=V3*age]=3 (V3) Tvar[7]=8 and 
                   7867:        *  Tage[++cptcovage]=k
                   7868:        *       if products, new covar are created after ncovcol with k1
                   7869:        *  Tvar[k]=ncovcol+k1; # of the kth covariate product:  Tvar[5]=ncovcol+1=10  Tvar[6]=ncovcol+1=11
                   7870:        *  Tprod[k1]=k; Tprod[1]=5 Tprod[2]= 6; gives the position of the k1th product
                   7871:        *  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
                   7872:        *  Tvar[cptcovn+k2]=Tvard[k1][1];Tvar[cptcovn+k2+1]=Tvard[k1][2];
                   7873:        *  Tvar[8+1]=5;Tvar[8+2]=6;Tvar[8+3]=7;Tvar[8+4]=8 inverted
                   7874:        *  V1   V2   V3   V4  V5  V6  V7  V8  V9  V10  V11
                   7875:        *  <          ncovcol=8                >
                   7876:        *       Model V2 + V1 + V3*age + V3 + V5*V6 + V7*V8 + V8*age + V8    d1   d1   d2  d2
                   7877:        *          k=  1    2      3       4     5       6      7        8    9   10   11  12
                   7878:        *     Tvar[k]= 2    1      3       3    10      11      8        8    5    6    7   8
                   7879:        * p Tvar[1]@12={2,   1,     3,      3,   11,     10,     8,       8,   7,   8,   5,  6}
                   7880:        * p Tprod[1]@2={                         6, 5}
                   7881:        *p Tvard[1][1]@4= {7, 8, 5, 6}
                   7882:        * covar[k][i]= V2   V1      ?      V3    V5*V6?   V7*V8?  ?       V8   
                   7883:        *  cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
                   7884:        *How to reorganize?
                   7885:        * Model V1 + V2 + V3 + V8 + V5*V6 + V7*V8 + V3*age + V8*age
                   7886:        * Tvars {2,   1,     3,      3,   11,     10,     8,       8,   7,   8,   5,  6}
                   7887:        *       {2,   1,     4,      8,    5,      6,     3,       7}
                   7888:        * Struct []
                   7889:        */
1.225     brouard  7890:       
1.187     brouard  7891:       /* This loop fills the array Tvar from the string 'model'.*/
                   7892:       /* j is the number of + signs in the model V1+V2+V3 j=2 i=3 to 1 */
                   7893:       /*   modelsav=V2+V1+V4+age*V3 strb=age*V3 stra=V2+V1+V4  */
                   7894:       /*       k=4 (age*V3) Tvar[k=4]= 3 (from V3) Tage[cptcovage=1]=4 */
                   7895:       /*       k=3 V4 Tvar[k=3]= 4 (from V4) */
                   7896:       /*       k=2 V1 Tvar[k=2]= 1 (from V1) */
                   7897:       /*       k=1 Tvar[1]=2 (from V2) */
                   7898:       /*       k=5 Tvar[5] */
                   7899:       /* for (k=1; k<=cptcovn;k++) { */
1.198     brouard  7900:       /*       cov[2+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
1.187     brouard  7901:       /*       } */
1.198     brouard  7902:       /* for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,Tvar[Tage[k])]]*cov[2]; */
1.187     brouard  7903:       /*
                   7904:        * Treating invertedly V2+V1+V3*age+V2*V4 is as if written V2*V4 +V3*age + V1 + V2 */
1.227     brouard  7905:       for(k=cptcovt; k>=1;k--){ /**< Number of covariates not including constant and age, neither age*age*/
                   7906:         Tvar[k]=0; Tprod[k]=0; Tposprod[k]=0;
                   7907:       }
1.187     brouard  7908:       cptcovage=0;
                   7909:       for(k=1; k<=cptcovt;k++){ /* Loop on total covariates of the model */
1.225     brouard  7910:        cutl(stra,strb,modelsav,'+'); /* keeps in strb after the first '+' 
                   7911:                                         modelsav==V2+V1+V4+V3*age strb=V3*age stra=V2+V1+V4 */ 
                   7912:        if (nbocc(modelsav,'+')==0) strcpy(strb,modelsav); /* and analyzes it */
                   7913:        /*      printf("i=%d a=%s b=%s sav=%s\n",i, stra,strb,modelsav);*/
                   7914:        /*scanf("%d",i);*/
                   7915:        if (strchr(strb,'*')) {  /**< Model includes a product V2+V1+V4+V3*age strb=V3*age */
                   7916:          cutl(strc,strd,strb,'*'); /**< strd*strc  Vm*Vn: strb=V3*age(input) strc=age strd=V3 ; V3*V2 strc=V2, strd=V3 */
                   7917:          if (strcmp(strc,"age")==0) { /**< Model includes age: Vn*age */
                   7918:            /* covar is not filled and then is empty */
                   7919:            cptcovprod--;
                   7920:            cutl(stre,strb,strd,'V'); /* strd=V3(input): stre="3" */
                   7921:            Tvar[k]=atoi(stre);  /* V2+V1+V4+V3*age Tvar[4]=3 ; V1+V2*age Tvar[2]=2; V1+V1*age Tvar[2]=1 */
1.226     brouard  7922:            Typevar[k]=1;  /* 1 for age product */
1.225     brouard  7923:            cptcovage++; /* Sums the number of covariates which include age as a product */
                   7924:            Tage[cptcovage]=k;  /* Tvar[4]=3, Tage[1] = 4 or V1+V1*age Tvar[2]=1, Tage[1]=2 */
                   7925:            /*printf("stre=%s ", stre);*/
                   7926:          } else if (strcmp(strd,"age")==0) { /* or age*Vn */
                   7927:            cptcovprod--;
                   7928:            cutl(stre,strb,strc,'V');
                   7929:            Tvar[k]=atoi(stre);
                   7930:            Typevar[k]=1;  /* 1 for age product */
                   7931:            cptcovage++;
                   7932:            Tage[cptcovage]=k;
                   7933:          } else {  /* Age is not in the model product V2+V1+V1*V4+V3*age+V3*V2  strb=V3*V2*/
                   7934:            /* loops on k1=1 (V3*V2) and k1=2 V4*V3 */
                   7935:            cptcovn++;
                   7936:            cptcovprodnoage++;k1++;
                   7937:            cutl(stre,strb,strc,'V'); /* strc= Vn, stre is n; strb=V3*V2 stre=3 strc=*/
                   7938:            Tvar[k]=ncovcol+nqv+ntv+nqtv+k1; /* For model-covariate k tells which data-covariate to use but
                   7939:                                   because this model-covariate is a construction we invent a new column
                   7940:                                   which is after existing variables ncovcol+nqv+ntv+nqtv + k1
                   7941:                                   If already ncovcol=4 and model=V2+V1+V1*V4+age*V3+V3*V2
                   7942:                                   Tvar[3=V1*V4]=4+1 Tvar[5=V3*V2]=4 + 2= 6, etc */
                   7943:            Typevar[k]=2;  /* 2 for double fixed dummy covariates */
                   7944:            cutl(strc,strb,strd,'V'); /* strd was Vm, strc is m */
                   7945:            Tprod[k1]=k;  /* Tprod[1]=3(=V1*V4) for V2+V1+V1*V4+age*V3+V3*V2  */
1.227     brouard  7946:            Tposprod[k]=k1; /* Tpsprod[3]=1, Tposprod[2]=5 */
1.225     brouard  7947:            Tvard[k1][1] =atoi(strc); /* m 1 for V1*/
                   7948:            Tvard[k1][2] =atoi(stre); /* n 4 for V4*/
                   7949:            k2=k2+2;  /* k2 is initialize to -1, We want to store the n and m in Vn*Vm at the end of Tvar */
                   7950:            /* Tvar[cptcovt+k2]=Tvard[k1][1]; /\* Tvar[(cptcovt=4+k2=1)=5]= 1 (V1) *\/ */
                   7951:            /* Tvar[cptcovt+k2+1]=Tvard[k1][2];  /\* Tvar[(cptcovt=4+(k2=1)+1)=6]= 4 (V4) *\/ */
                   7952:             /*ncovcol=4 and model=V2+V1+V1*V4+age*V3+V3*V2, Tvar[3]=5, Tvar[4]=6, cptcovt=5 */
                   7953:            /*                     1  2   3      4     5 | Tvar[5+1)=1, Tvar[7]=2   */
                   7954:            for (i=1; i<=lastobs;i++){
                   7955:              /* Computes the new covariate which is a product of
                   7956:                 covar[n][i]* covar[m][i] and stores it at ncovol+k1 May not be defined */
                   7957:              covar[ncovcol+k1][i]=covar[atoi(stre)][i]*covar[atoi(strc)][i];
                   7958:            }
                   7959:          } /* End age is not in the model */
                   7960:        } /* End if model includes a product */
                   7961:        else { /* no more sum */
                   7962:          /*printf("d=%s c=%s b=%s\n", strd,strc,strb);*/
                   7963:          /*  scanf("%d",i);*/
                   7964:          cutl(strd,strc,strb,'V');
1.227     brouard  7965:          ks++; /**< Number of simple covariates dummy or quantitative, fixe or varying */
1.225     brouard  7966:          cptcovn++; /** V4+V3+V5: V4 and V3 timevarying dummy covariates, V5 timevarying quantitative */
                   7967:          Tvar[k]=atoi(strd);
                   7968:          Typevar[k]=0;  /* 0 for simple covariates */
                   7969:        }
                   7970:        strcpy(modelsav,stra);  /* modelsav=V2+V1+V4 stra=V2+V1+V4 */ 
1.223     brouard  7971:                                /*printf("a=%s b=%s sav=%s\n", stra,strb,modelsav);
1.225     brouard  7972:                                  scanf("%d",i);*/
1.187     brouard  7973:       } /* end of loop + on total covariates */
                   7974:     } /* end if strlen(modelsave == 0) age*age might exist */
                   7975:   } /* end if strlen(model == 0) */
1.136     brouard  7976:   
                   7977:   /*The number n of Vn is stored in Tvar. cptcovage =number of age covariate. Tage gives the position of age. cptcovprod= number of products.
                   7978:     If model=V1+V1*age then Tvar[1]=1 Tvar[2]=1 cptcovage=1 Tage[1]=2 cptcovprod=0*/
1.225     brouard  7979:   
1.136     brouard  7980:   /* printf("tvar1=%d tvar2=%d tvar3=%d cptcovage=%d Tage=%d",Tvar[1],Tvar[2],Tvar[3],cptcovage,Tage[1]);
1.225     brouard  7981:      printf("cptcovprod=%d ", cptcovprod);
                   7982:      fprintf(ficlog,"cptcovprod=%d ", cptcovprod);
                   7983:      scanf("%d ",i);*/
                   7984: 
                   7985: 
                   7986: /* Decodemodel knows only the grammar (simple, product, age*) of the model but not what kind
                   7987:    of variable (dummy vs quantitative, fixed vs time varying) is behind */
1.226     brouard  7988: /* ncovcol= 1, nqv=1 | ntv=2, nqtv= 1  = 5 possible variables data: 2 fixed 3, varying
                   7989:    model=        V5 + V4 +V3 + V4*V3 + V5*age + V2 + V1*V2 + V1*age + V5*age, V1 is not used saving its place
                   7990:    k =           1    2   3     4       5       6      7      8        9
                   7991:    Tvar[k]=      5    4   3 1+1+2+1+1=6 5       2      7      1        5
                   7992:    Typevar[k]=   0    0   0     2       1       0      2      1        1
1.227     brouard  7993:    Fixed[k]      1    1   1     1       3       0    0 or 2   2        3
                   7994:    Dummy[k]      1    0   0     0       3       1      1      2        3
                   7995:          Tmodelind[combination of covar]=k;
1.225     brouard  7996: */  
                   7997: /* Dispatching between quantitative and time varying covariates */
1.226     brouard  7998:   /* If Tvar[k] >ncovcol it is a product */
1.225     brouard  7999:   /* Tvar[k] is the value n of Vn with n varying for 1 to nvcol, or p  Vp=Vn*Vm for product */
1.226     brouard  8000:        /* Computing effective variables, ie used by the model, that is from the cptcovt variables */
1.227     brouard  8001:   printf("Model=%s\n\
                   8002: Typevar: 0 for simple covariate (dummy, quantitative, fixed or varying), 1 for age product, 2 for  product \n\
                   8003: Fixed[k] 0=fixed (product or simple), 1 varying, 2 fixed with age product, 3 varying with age product \n\
                   8004: Dummy[k] 0=dummy (0 1), 1 quantitative (single or product without age), 2 dummy with age product, 3 quant with age product\n",model);
                   8005:   fprintf(ficlog,"Model=%s\n\
                   8006: Typevar: 0 for simple covariate (dummy, quantitative, fixed or varying), 1 for age product, 2 for  product \n\
                   8007: Fixed[k] 0=fixed (product or simple), 1 varying, 2 fixed with age product, 3 varying with age product \n\
                   8008: Dummy[k] 0=dummy (0 1), 1 quantitative (single or product without age), 2 dummy with age product, 3 quant with age product\n",model);
                   8009: 
1.225     brouard  8010:   for(k=1, ncoveff=0, nqfveff=0, ntveff=0, nqtveff=0;k<=cptcovt; k++){ /* or cptocvt */
1.226     brouard  8011:     if (Tvar[k] <=ncovcol && (Typevar[k]==0 || Typevar[k]==2)){ /* Simple or product fixed dummy covariatee */
1.227     brouard  8012:       Fixed[k]= 0;
                   8013:       Dummy[k]= 0;
1.225     brouard  8014:       ncoveff++;
                   8015:     }else if( Tvar[k] <=ncovcol+nqv && Typevar[k]==0){ /* Remind that product Vn*Vm are added in k*/
1.227     brouard  8016:       Fixed[k]= 0;
                   8017:       Dummy[k]= 1;
1.225     brouard  8018:       nqfveff++;  /* Only simple fixed quantitative variable */
                   8019:     }else if( Tvar[k] <=ncovcol+nqv+ntv && Typevar[k]==0){
1.227     brouard  8020:       Fixed[k]= 1;
                   8021:       Dummy[k]= 0;
1.225     brouard  8022:       ntveff++; /* Only simple time varying dummy variable */
1.228     brouard  8023:       printf("Quasi Tmodelind[%d]=%d,Tvar[Tmodelind[%d]]=V%d, ncovcol=%d, nqv=%d,Tvar[k]- ncovcol-nqv=%d\n",ntveff,k,ntveff,Tvar[k], ncovcol, nqv,Tvar[k]- ncovcol-nqv);
                   8024:       printf("Quasi TmodelInvind[%d]=%d\n",k,Tvar[k]- ncovcol-nqv);
1.227     brouard  8025:     }else if( Tvar[k] <=ncovcol+nqv+ntv+nqtv  && Typevar[k]==0){
                   8026:        Fixed[k]= 1;
                   8027:        Dummy[k]= 1;
1.228     brouard  8028:        TmodelInvQind[++nqtveff]=Tvar[k]- ncovcol-nqv-ntv;/* Only simple time varying quantitative variable */
                   8029:        /* Tmodeliqind[k]=nqtveff;/\* Only simple time varying quantitative variable *\/ */
                   8030:        printf("Quasi TmodelQind[%d]=%d,Tvar[TmodelQind[%d]]=V%d, ncovcol=%d, nqv=%d, ntv=%d,Tvar[k]- ncovcol-nqv-ntv=%d\n",nqtveff,k,nqtveff,Tvar[k], ncovcol, nqv, ntv, Tvar[k]- ncovcol-nqv-ntv);
                   8031:       printf("Quasi TmodelInvQind[%d]=%d\n",k,Tvar[k]- ncovcol-nqv-ntv);
1.227     brouard  8032:     }else if (Typevar[k] == 1) {  /* product with age */
                   8033:       if (Tvar[k] <=ncovcol ){ /* Simple or product fixed dummy covariatee */
                   8034:        Fixed[k]= 2;
                   8035:        Dummy[k]= 2;
                   8036:        /* ncoveff++; */
                   8037:       }else if( Tvar[k] <=ncovcol+nqv) { /* Remind that product Vn*Vm are added in k*/
                   8038:        Fixed[k]= 2;
                   8039:        Dummy[k]= 3;
                   8040:        /* nqfveff++;  /\* Only simple fixed quantitative variable *\/ */
                   8041:       }else if( Tvar[k] <=ncovcol+nqv+ntv ){
                   8042:        Fixed[k]= 3;
                   8043:        Dummy[k]= 2;
                   8044:        /* ntveff++; /\* Only simple time varying dummy variable *\/ */
                   8045:       }else if( Tvar[k] <=ncovcol+nqv+ntv+nqtv){
                   8046:        Fixed[k]= 3;
                   8047:        Dummy[k]= 3;
                   8048:        /* nqtveff++;/\* Only simple time varying quantitative variable *\/ */
                   8049:       }
                   8050:     }else if (Typevar[k] == 2) {  /* product without age */
                   8051:       k1=Tposprod[k];
                   8052:       if(Tvard[k1][1] <=ncovcol){
                   8053:        if(Tvard[k1][2] <=ncovcol){
                   8054:          Fixed[k]= 1;
                   8055:          Dummy[k]= 0;
                   8056:        }else if(Tvard[k1][2] <=ncovcol+nqv){
                   8057:          Fixed[k]= 0;  /* or 2 ?*/
                   8058:          Dummy[k]= 1;
                   8059:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv){
                   8060:          Fixed[k]= 1;
                   8061:          Dummy[k]= 0;
                   8062:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv+nqtv){
                   8063:          Fixed[k]= 1;
                   8064:          Dummy[k]= 1;
                   8065:        } 
                   8066:       }else if(Tvard[k1][1] <=ncovcol+nqv){
                   8067:        if(Tvard[k1][2] <=ncovcol){
                   8068:          Fixed[k]= 0;  /* or 2 ?*/
                   8069:          Dummy[k]= 1;
                   8070:        }else if(Tvard[k1][2] <=ncovcol+nqv){
                   8071:          Fixed[k]= 0; /* or 2 ?*/
                   8072:          Dummy[k]= 1;
                   8073:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv){
                   8074:          Fixed[k]= 1;
                   8075:          Dummy[k]= 1;
                   8076:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv+nqtv){
                   8077:          Fixed[k]= 1;
                   8078:          Dummy[k]= 1;
                   8079:        } 
                   8080:       }else if(Tvard[k1][1] <=ncovcol+nqv+ntv){
                   8081:        if(Tvard[k1][2] <=ncovcol){
                   8082:          Fixed[k]= 1;
                   8083:          Dummy[k]= 1;
                   8084:        }else if(Tvard[k1][2] <=ncovcol+nqv){
                   8085:          Fixed[k]= 1;
                   8086:          Dummy[k]= 1;
                   8087:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv){
                   8088:          Fixed[k]= 1;
                   8089:          Dummy[k]= 0;
                   8090:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv+nqtv){
                   8091:          Fixed[k]= 1;
                   8092:          Dummy[k]= 1;
                   8093:        } 
                   8094:       }else if(Tvard[k1][1] <=ncovcol+nqv+ntv+nqtv){
                   8095:        if(Tvard[k1][2] <=ncovcol){
                   8096:          Fixed[k]= 1;
                   8097:          Dummy[k]= 1;
                   8098:        }else if(Tvard[k1][2] <=ncovcol+nqv){
                   8099:          Fixed[k]= 1;
                   8100:          Dummy[k]= 1;
                   8101:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv){
                   8102:          Fixed[k]= 1;
                   8103:          Dummy[k]= 1;
                   8104:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv+nqtv){
                   8105:          Fixed[k]= 1;
                   8106:          Dummy[k]= 1;
                   8107:        } 
                   8108:       }else{
                   8109:        printf("Error unknown type of covariate: Tvard[%d][1]=%d,Tvard[%d][2]=%d\n",k1,Tvard[k1][1],k1,Tvard[k1][2]);
                   8110:        fprintf(ficlog,"Error unknown type of covariate: Tvard[%d][1]=%d,Tvard[%d][2]=%d\n",k1,Tvard[k1][1],k1,Tvard[k1][2]);
1.226     brouard  8111:       } /* end k1 */
1.225     brouard  8112:     }else{
1.226     brouard  8113:       printf("Error, current version can't treat for performance reasons, Tvar[%d]=%d, Typevar[%d]=%d\n", k, Tvar[k], k, Typevar[k]);
                   8114:       fprintf(ficlog,"Error, current version can't treat for performance reasons, Tvar[%d]=%d, Typevar[%d]=%d\n", k, Tvar[k], k, Typevar[k]);
1.225     brouard  8115:     }
1.227     brouard  8116:     printf("Decodemodel, k=%d, Tvar[%d]=V%d,Typevar=%d, Fixed=%d, Dummy=%d\n",k, k,Tvar[k],Typevar[k],Fixed[k],Dummy[k]);
                   8117:     fprintf(ficlog,"Decodemodel, k=%d, Tvar[%d]=V%d,Typevar=%d, Fixed=%d, Dummy=%d\n",k, k,Tvar[k],Typevar[k],Fixed[k],Dummy[k]);
                   8118:   }
                   8119:   /* Searching for doublons in the model */
                   8120:   for(k1=1; k1<= cptcovt;k1++){
                   8121:     for(k2=1; k2 <k1;k2++){
                   8122:       if((Typevar[k1]==Typevar[k2]) && (Fixed[Tvar[k1]]==Fixed[Tvar[k2]]) && (Dummy[Tvar[k1]]==Dummy[Tvar[k2]] )){
                   8123:        if((Typevar[k1] == 0 || Typevar[k1] == 1)){ /* Simple or age product */
                   8124:          if(Tvar[k1]==Tvar[k2]){
                   8125:            printf("Error duplication in the model=%s at positions (+) %d and %d, Tvar[%d]=V%d, Tvar[%d]=V%d, Typevar=%d, Fixed=%d, Dummy=%d\n", model, k1,k2, k1, Tvar[k1], k2, Tvar[k2],Typevar[k1],Fixed[Tvar[k1]],Dummy[Tvar[k1]]);
                   8126:            fprintf(ficlog,"Error duplication in the model=%s at positions (+) %d and %d, Tvar[%d]=V%d, Tvar[%d]=V%d, Typevar=%d, Fixed=%d, Dummy=%d\n", model, k1,k2, k1, Tvar[k1], k2, Tvar[k2],Typevar[k1],Fixed[Tvar[k1]],Dummy[Tvar[k1]]); fflush(ficlog);
                   8127:            return(1);
                   8128:          }
                   8129:        }else if (Typevar[k1] ==2){
                   8130:          k3=Tposprod[k1];
                   8131:          k4=Tposprod[k2];
                   8132:          if( ((Tvard[k3][1]== Tvard[k4][1])&&(Tvard[k3][2]== Tvard[k4][2])) || ((Tvard[k3][1]== Tvard[k4][2])&&(Tvard[k3][2]== Tvard[k4][1])) ){
                   8133:            printf("Error duplication in the model=%s at positions (+) %d and %d, V%d*V%d, Typevar=%d, Fixed=%d, Dummy=%d\n",model, k1,k2, Tvard[k3][1], Tvard[k3][2],Typevar[k1],Fixed[Tvar[k1]],Dummy[Tvar[k1]]);
                   8134:            fprintf(ficlog,"Error duplication in the model=%s at positions (+) %d and %d, V%d*V%d, Typevar=%d, Fixed=%d, Dummy=%d\n",model, k1,k2, Tvard[k3][1], Tvard[k3][2],Typevar[k1],Fixed[Tvar[k1]],Dummy[Tvar[k1]]); fflush(ficlog);
                   8135:            return(1);
                   8136:          }
                   8137:        }
                   8138:       }
                   8139:     }
1.225     brouard  8140:   }
                   8141:   printf("ncoveff=%d, nqfveff=%d, ntveff=%d, nqtveff=%d, cptcovn=%d\n",ncoveff,nqfveff,ntveff,nqtveff,cptcovn);
                   8142:   fprintf(ficlog,"ncoveff=%d, nqfveff=%d, ntveff=%d, nqtveff=%d, cptcovn=%d\n",ncoveff,nqfveff,ntveff,nqtveff,cptcovn);
1.137     brouard  8143:   return (0); /* with covar[new additional covariate if product] and Tage if age */ 
1.164     brouard  8144:   /*endread:*/
1.225     brouard  8145:   printf("Exiting decodemodel: ");
                   8146:   return (1);
1.136     brouard  8147: }
                   8148: 
1.169     brouard  8149: int calandcheckages(int imx, int maxwav, double *agemin, double *agemax, int *nberr, int *nbwarn )
1.136     brouard  8150: {
                   8151:   int i, m;
1.218     brouard  8152:   int firstone=0;
                   8153:   
1.136     brouard  8154:   for (i=1; i<=imx; i++) {
                   8155:     for(m=2; (m<= maxwav); m++) {
                   8156:       if (((int)mint[m][i]== 99) && (s[m][i] <= nlstate)){
                   8157:        anint[m][i]=9999;
1.216     brouard  8158:        if (s[m][i] != -2) /* Keeping initial status of unknown vital status */
                   8159:          s[m][i]=-1;
1.136     brouard  8160:       }
                   8161:       if((int)moisdc[i]==99 && (int)andc[i]==9999 && s[m][i]>nlstate){
1.169     brouard  8162:        *nberr = *nberr + 1;
1.218     brouard  8163:        if(firstone == 0){
                   8164:          firstone=1;
                   8165:        printf("Error! Date of death (month %2d and year %4d) of individual %ld on line %d was unknown, you must set an arbitrary year of death or he/she is skipped and results can be biased (%d) because status is a death state %d at wave %d. Wave dropped.\nOther similar cases in log file\n",(int)moisdc[i],(int)andc[i],num[i],i, *nberr,s[m][i],m);
                   8166:        }
                   8167:        fprintf(ficlog,"Error! Date of death (month %2d and year %4d) of individual %ld on line %d was unknown, you must set an arbitrary year of death or he/she is skipped and results can be biased (%d) because status is a death state %d at wave %d. Wave dropped.\n",(int)moisdc[i],(int)andc[i],num[i],i, *nberr,s[m][i],m);
1.136     brouard  8168:        s[m][i]=-1;
                   8169:       }
                   8170:       if((int)moisdc[i]==99 && (int)andc[i]!=9999 && s[m][i]>nlstate){
1.169     brouard  8171:        (*nberr)++;
1.136     brouard  8172:        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]); 
                   8173:        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]); 
                   8174:        s[m][i]=-1; /* We prefer to skip it (and to skip it in version 0.8a1 too */
                   8175:       }
                   8176:     }
                   8177:   }
                   8178: 
                   8179:   for (i=1; i<=imx; i++)  {
                   8180:     agedc[i]=(moisdc[i]/12.+andc[i])-(moisnais[i]/12.+annais[i]);
                   8181:     for(m=firstpass; (m<= lastpass); m++){
1.214     brouard  8182:       if(s[m][i] >0  || s[m][i]==-1 || s[m][i]==-2 || s[m][i]==-4 || s[m][i]==-5){ /* What if s[m][i]=-1 */
1.136     brouard  8183:        if (s[m][i] >= nlstate+1) {
1.169     brouard  8184:          if(agedc[i]>0){
                   8185:            if((int)moisdc[i]!=99 && (int)andc[i]!=9999){
1.136     brouard  8186:              agev[m][i]=agedc[i];
1.214     brouard  8187:              /*if(moisdc[i]==99 && andc[i]==9999) s[m][i]=-1;*/
1.169     brouard  8188:            }else {
1.136     brouard  8189:              if ((int)andc[i]!=9999){
                   8190:                nbwarn++;
                   8191:                printf("Warning negative age at death: %ld line:%d\n",num[i],i);
                   8192:                fprintf(ficlog,"Warning negative age at death: %ld line:%d\n",num[i],i);
                   8193:                agev[m][i]=-1;
                   8194:              }
                   8195:            }
1.169     brouard  8196:          } /* agedc > 0 */
1.214     brouard  8197:        } /* end if */
1.136     brouard  8198:        else if(s[m][i] !=9){ /* Standard case, age in fractional
                   8199:                                 years but with the precision of a month */
                   8200:          agev[m][i]=(mint[m][i]/12.+1./24.+anint[m][i])-(moisnais[i]/12.+1./24.+annais[i]);
                   8201:          if((int)mint[m][i]==99 || (int)anint[m][i]==9999)
                   8202:            agev[m][i]=1;
                   8203:          else if(agev[m][i] < *agemin){ 
                   8204:            *agemin=agev[m][i];
                   8205:            printf(" Min anint[%d][%d]=%.2f annais[%d]=%.2f, agemin=%.2f\n",m,i,anint[m][i], i,annais[i], *agemin);
                   8206:          }
                   8207:          else if(agev[m][i] >*agemax){
                   8208:            *agemax=agev[m][i];
1.156     brouard  8209:            /* printf(" Max anint[%d][%d]=%.0f annais[%d]=%.0f, agemax=%.2f\n",m,i,anint[m][i], i,annais[i], *agemax);*/
1.136     brouard  8210:          }
                   8211:          /*agev[m][i]=anint[m][i]-annais[i];*/
                   8212:          /*     agev[m][i] = age[i]+2*m;*/
1.214     brouard  8213:        } /* en if 9*/
1.136     brouard  8214:        else { /* =9 */
1.214     brouard  8215:          /* printf("Debug num[%d]=%ld s[%d][%d]=%d\n",i,num[i], m,i, s[m][i]); */
1.136     brouard  8216:          agev[m][i]=1;
                   8217:          s[m][i]=-1;
                   8218:        }
                   8219:       }
1.214     brouard  8220:       else if(s[m][i]==0) /*= 0 Unknown */
1.136     brouard  8221:        agev[m][i]=1;
1.214     brouard  8222:       else{
                   8223:        printf("Warning, num[%d]=%ld, s[%d][%d]=%d\n", i, num[i], m, i,s[m][i]); 
                   8224:        fprintf(ficlog, "Warning, num[%d]=%ld, s[%d][%d]=%d\n", i, num[i], m, i,s[m][i]); 
                   8225:        agev[m][i]=0;
                   8226:       }
                   8227:     } /* End for lastpass */
                   8228:   }
1.136     brouard  8229:     
                   8230:   for (i=1; i<=imx; i++)  {
                   8231:     for(m=firstpass; (m<=lastpass); m++){
                   8232:       if (s[m][i] > (nlstate+ndeath)) {
1.169     brouard  8233:        (*nberr)++;
1.136     brouard  8234:        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);     
                   8235:        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);     
                   8236:        return 1;
                   8237:       }
                   8238:     }
                   8239:   }
                   8240: 
                   8241:   /*for (i=1; i<=imx; i++){
                   8242:   for (m=firstpass; (m<lastpass); m++){
                   8243:      printf("%ld %d %.lf %d %d\n", num[i],(covar[1][i]),agev[m][i],s[m][i],s[m+1][i]);
                   8244: }
                   8245: 
                   8246: }*/
                   8247: 
                   8248: 
1.139     brouard  8249:   printf("Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, *agemin, *agemax);
                   8250:   fprintf(ficlog,"Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, *agemin, *agemax); 
1.136     brouard  8251: 
                   8252:   return (0);
1.164     brouard  8253:  /* endread:*/
1.136     brouard  8254:     printf("Exiting calandcheckages: ");
                   8255:     return (1);
                   8256: }
                   8257: 
1.172     brouard  8258: #if defined(_MSC_VER)
                   8259: /*printf("Visual C++ compiler: %s \n;", _MSC_FULL_VER);*/
                   8260: /*fprintf(ficlog, "Visual C++ compiler: %s \n;", _MSC_FULL_VER);*/
                   8261: //#include "stdafx.h"
                   8262: //#include <stdio.h>
                   8263: //#include <tchar.h>
                   8264: //#include <windows.h>
                   8265: //#include <iostream>
                   8266: typedef BOOL(WINAPI *LPFN_ISWOW64PROCESS) (HANDLE, PBOOL);
                   8267: 
                   8268: LPFN_ISWOW64PROCESS fnIsWow64Process;
                   8269: 
                   8270: BOOL IsWow64()
                   8271: {
                   8272:        BOOL bIsWow64 = FALSE;
                   8273: 
                   8274:        //typedef BOOL (APIENTRY *LPFN_ISWOW64PROCESS)
                   8275:        //  (HANDLE, PBOOL);
                   8276: 
                   8277:        //LPFN_ISWOW64PROCESS fnIsWow64Process;
                   8278: 
                   8279:        HMODULE module = GetModuleHandle(_T("kernel32"));
                   8280:        const char funcName[] = "IsWow64Process";
                   8281:        fnIsWow64Process = (LPFN_ISWOW64PROCESS)
                   8282:                GetProcAddress(module, funcName);
                   8283: 
                   8284:        if (NULL != fnIsWow64Process)
                   8285:        {
                   8286:                if (!fnIsWow64Process(GetCurrentProcess(),
                   8287:                        &bIsWow64))
                   8288:                        //throw std::exception("Unknown error");
                   8289:                        printf("Unknown error\n");
                   8290:        }
                   8291:        return bIsWow64 != FALSE;
                   8292: }
                   8293: #endif
1.177     brouard  8294: 
1.191     brouard  8295: void syscompilerinfo(int logged)
1.167     brouard  8296:  {
                   8297:    /* #include "syscompilerinfo.h"*/
1.185     brouard  8298:    /* command line Intel compiler 32bit windows, XP compatible:*/
                   8299:    /* /GS /W3 /Gy
                   8300:       /Zc:wchar_t /Zi /O2 /Fd"Release\vc120.pdb" /D "WIN32" /D "NDEBUG" /D
                   8301:       "_CONSOLE" /D "_LIB" /D "_USING_V110_SDK71_" /D "_UNICODE" /D
                   8302:       "UNICODE" /Qipo /Zc:forScope /Gd /Oi /MT /Fa"Release\" /EHsc /nologo
1.186     brouard  8303:       /Fo"Release\" /Qprof-dir "Release\" /Fp"Release\IMaCh.pch"
                   8304:    */ 
                   8305:    /* 64 bits */
1.185     brouard  8306:    /*
                   8307:      /GS /W3 /Gy
                   8308:      /Zc:wchar_t /Zi /O2 /Fd"x64\Release\vc120.pdb" /D "WIN32" /D "NDEBUG"
                   8309:      /D "_CONSOLE" /D "_LIB" /D "_UNICODE" /D "UNICODE" /Qipo /Zc:forScope
                   8310:      /Oi /MD /Fa"x64\Release\" /EHsc /nologo /Fo"x64\Release\" /Qprof-dir
                   8311:      "x64\Release\" /Fp"x64\Release\IMaCh.pch" */
                   8312:    /* Optimization are useless and O3 is slower than O2 */
                   8313:    /*
                   8314:      /GS /W3 /Gy /Zc:wchar_t /Zi /O3 /Fd"x64\Release\vc120.pdb" /D "WIN32" 
                   8315:      /D "NDEBUG" /D "_CONSOLE" /D "_LIB" /D "_UNICODE" /D "UNICODE" /Qipo 
                   8316:      /Zc:forScope /Oi /MD /Fa"x64\Release\" /EHsc /nologo /Qparallel 
                   8317:      /Fo"x64\Release\" /Qprof-dir "x64\Release\" /Fp"x64\Release\IMaCh.pch" 
                   8318:    */
1.186     brouard  8319:    /* Link is */ /* /OUT:"visual studio
1.185     brouard  8320:       2013\Projects\IMaCh\Release\IMaCh.exe" /MANIFEST /NXCOMPAT
                   8321:       /PDB:"visual studio
                   8322:       2013\Projects\IMaCh\Release\IMaCh.pdb" /DYNAMICBASE
                   8323:       "kernel32.lib" "user32.lib" "gdi32.lib" "winspool.lib"
                   8324:       "comdlg32.lib" "advapi32.lib" "shell32.lib" "ole32.lib"
                   8325:       "oleaut32.lib" "uuid.lib" "odbc32.lib" "odbccp32.lib"
                   8326:       /MACHINE:X86 /OPT:REF /SAFESEH /INCREMENTAL:NO
                   8327:       /SUBSYSTEM:CONSOLE",5.01" /MANIFESTUAC:"level='asInvoker'
                   8328:       uiAccess='false'"
                   8329:       /ManifestFile:"Release\IMaCh.exe.intermediate.manifest" /OPT:ICF
                   8330:       /NOLOGO /TLBID:1
                   8331:    */
1.177     brouard  8332: #if defined __INTEL_COMPILER
1.178     brouard  8333: #if defined(__GNUC__)
                   8334:        struct utsname sysInfo;  /* For Intel on Linux and OS/X */
                   8335: #endif
1.177     brouard  8336: #elif defined(__GNUC__) 
1.179     brouard  8337: #ifndef  __APPLE__
1.174     brouard  8338: #include <gnu/libc-version.h>  /* Only on gnu */
1.179     brouard  8339: #endif
1.177     brouard  8340:    struct utsname sysInfo;
1.178     brouard  8341:    int cross = CROSS;
                   8342:    if (cross){
                   8343:           printf("Cross-");
1.191     brouard  8344:           if(logged) fprintf(ficlog, "Cross-");
1.178     brouard  8345:    }
1.174     brouard  8346: #endif
                   8347: 
1.171     brouard  8348: #include <stdint.h>
1.178     brouard  8349: 
1.191     brouard  8350:    printf("Compiled with:");if(logged)fprintf(ficlog,"Compiled with:");
1.169     brouard  8351: #if defined(__clang__)
1.191     brouard  8352:    printf(" Clang/LLVM");if(logged)fprintf(ficlog," Clang/LLVM");      /* Clang/LLVM. ---------------------------------------------- */
1.169     brouard  8353: #endif
                   8354: #if defined(__ICC) || defined(__INTEL_COMPILER)
1.191     brouard  8355:    printf(" Intel ICC/ICPC");if(logged)fprintf(ficlog," Intel ICC/ICPC");/* Intel ICC/ICPC. ------------------------------------------ */
1.169     brouard  8356: #endif
                   8357: #if defined(__GNUC__) || defined(__GNUG__)
1.191     brouard  8358:    printf(" GNU GCC/G++");if(logged)fprintf(ficlog," GNU GCC/G++");/* GNU GCC/G++. --------------------------------------------- */
1.169     brouard  8359: #endif
                   8360: #if defined(__HP_cc) || defined(__HP_aCC)
1.191     brouard  8361:    printf(" Hewlett-Packard C/aC++");if(logged)fprintf(fcilog," Hewlett-Packard C/aC++"); /* Hewlett-Packard C/aC++. ---------------------------------- */
1.169     brouard  8362: #endif
                   8363: #if defined(__IBMC__) || defined(__IBMCPP__)
1.191     brouard  8364:    printf(" IBM XL C/C++"); if(logged) fprintf(ficlog," IBM XL C/C++");/* IBM XL C/C++. -------------------------------------------- */
1.169     brouard  8365: #endif
                   8366: #if defined(_MSC_VER)
1.191     brouard  8367:    printf(" Microsoft Visual Studio");if(logged)fprintf(ficlog," Microsoft Visual Studio");/* Microsoft Visual Studio. --------------------------------- */
1.169     brouard  8368: #endif
                   8369: #if defined(__PGI)
1.191     brouard  8370:    printf(" Portland Group PGCC/PGCPP");if(logged) fprintf(ficlog," Portland Group PGCC/PGCPP");/* Portland Group PGCC/PGCPP. ------------------------------- */
1.169     brouard  8371: #endif
                   8372: #if defined(__SUNPRO_C) || defined(__SUNPRO_CC)
1.191     brouard  8373:    printf(" Oracle Solaris Studio");if(logged)fprintf(ficlog," Oracle Solaris Studio\n");/* Oracle Solaris Studio. ----------------------------------- */
1.167     brouard  8374: #endif
1.191     brouard  8375:    printf(" for "); if (logged) fprintf(ficlog, " for ");
1.169     brouard  8376:    
1.167     brouard  8377: // http://stackoverflow.com/questions/4605842/how-to-identify-platform-compiler-from-preprocessor-macros
                   8378: #ifdef _WIN32 // note the underscore: without it, it's not msdn official!
                   8379:     // Windows (x64 and x86)
1.191     brouard  8380:    printf("Windows (x64 and x86) ");if(logged) fprintf(ficlog,"Windows (x64 and x86) ");
1.167     brouard  8381: #elif __unix__ // all unices, not all compilers
                   8382:     // Unix
1.191     brouard  8383:    printf("Unix ");if(logged) fprintf(ficlog,"Unix ");
1.167     brouard  8384: #elif __linux__
                   8385:     // linux
1.191     brouard  8386:    printf("linux ");if(logged) fprintf(ficlog,"linux ");
1.167     brouard  8387: #elif __APPLE__
1.174     brouard  8388:     // Mac OS, not sure if this is covered by __posix__ and/or __unix__ though..
1.191     brouard  8389:    printf("Mac OS ");if(logged) fprintf(ficlog,"Mac OS ");
1.167     brouard  8390: #endif
                   8391: 
                   8392: /*  __MINGW32__          */
                   8393: /*  __CYGWIN__  */
                   8394: /* __MINGW64__  */
                   8395: // http://msdn.microsoft.com/en-us/library/b0084kay.aspx
                   8396: /* _MSC_VER  //the Visual C++ compiler is 17.00.51106.1, the _MSC_VER macro evaluates to 1700. Type cl /?  */
                   8397: /* _MSC_FULL_VER //the Visual C++ compiler is 15.00.20706.01, the _MSC_FULL_VER macro evaluates to 150020706 */
                   8398: /* _WIN64  // Defined for applications for Win64. */
                   8399: /* _M_X64 // Defined for compilations that target x64 processors. */
                   8400: /* _DEBUG // Defined when you compile with /LDd, /MDd, and /MTd. */
1.171     brouard  8401: 
1.167     brouard  8402: #if UINTPTR_MAX == 0xffffffff
1.191     brouard  8403:    printf(" 32-bit"); if(logged) fprintf(ficlog," 32-bit");/* 32-bit */
1.167     brouard  8404: #elif UINTPTR_MAX == 0xffffffffffffffff
1.191     brouard  8405:    printf(" 64-bit"); if(logged) fprintf(ficlog," 64-bit");/* 64-bit */
1.167     brouard  8406: #else
1.191     brouard  8407:    printf(" wtf-bit"); if(logged) fprintf(ficlog," wtf-bit");/* wtf */
1.167     brouard  8408: #endif
                   8409: 
1.169     brouard  8410: #if defined(__GNUC__)
                   8411: # if defined(__GNUC_PATCHLEVEL__)
                   8412: #  define __GNUC_VERSION__ (__GNUC__ * 10000 \
                   8413:                             + __GNUC_MINOR__ * 100 \
                   8414:                             + __GNUC_PATCHLEVEL__)
                   8415: # else
                   8416: #  define __GNUC_VERSION__ (__GNUC__ * 10000 \
                   8417:                             + __GNUC_MINOR__ * 100)
                   8418: # endif
1.174     brouard  8419:    printf(" using GNU C version %d.\n", __GNUC_VERSION__);
1.191     brouard  8420:    if(logged) fprintf(ficlog, " using GNU C version %d.\n", __GNUC_VERSION__);
1.176     brouard  8421: 
                   8422:    if (uname(&sysInfo) != -1) {
                   8423:      printf("Running on: %s %s %s %s %s\n",sysInfo.sysname, sysInfo.nodename, sysInfo.release, sysInfo.version, sysInfo.machine);
1.191     brouard  8424:         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  8425:    }
                   8426:    else
                   8427:       perror("uname() error");
1.179     brouard  8428:    //#ifndef __INTEL_COMPILER 
                   8429: #if !defined (__INTEL_COMPILER) && !defined(__APPLE__)
1.174     brouard  8430:    printf("GNU libc version: %s\n", gnu_get_libc_version()); 
1.191     brouard  8431:    if(logged) fprintf(ficlog,"GNU libc version: %s\n", gnu_get_libc_version());
1.177     brouard  8432: #endif
1.169     brouard  8433: #endif
1.172     brouard  8434: 
                   8435:    //   void main()
                   8436:    //   {
1.169     brouard  8437: #if defined(_MSC_VER)
1.174     brouard  8438:    if (IsWow64()){
1.191     brouard  8439:           printf("\nThe program (probably compiled for 32bit) is running under WOW64 (64bit) emulation.\n");
                   8440:           if (logged) fprintf(ficlog, "\nThe program (probably compiled for 32bit) is running under WOW64 (64bit) emulation.\n");
1.174     brouard  8441:    }
                   8442:    else{
1.191     brouard  8443:           printf("\nThe program is not running under WOW64 (i.e probably on a 64bit Windows).\n");
                   8444:           if (logged) fprintf(ficlog, "\nThe programm is not running under WOW64 (i.e probably on a 64bit Windows).\n");
1.174     brouard  8445:    }
1.172     brouard  8446:    //     printf("\nPress Enter to continue...");
                   8447:    //     getchar();
                   8448:    //   }
                   8449: 
1.169     brouard  8450: #endif
                   8451:    
1.167     brouard  8452: 
1.219     brouard  8453: }
1.136     brouard  8454: 
1.219     brouard  8455: int prevalence_limit(double *p, double **prlim, double ageminpar, double agemaxpar, double ftolpl, int *ncvyearp){
1.180     brouard  8456:   /*--------------- Prevalence limit  (period or stable prevalence) --------------*/
                   8457:   int i, j, k, i1 ;
1.202     brouard  8458:   /* double ftolpl = 1.e-10; */
1.180     brouard  8459:   double age, agebase, agelim;
1.203     brouard  8460:   double tot;
1.180     brouard  8461: 
1.202     brouard  8462:   strcpy(filerespl,"PL_");
                   8463:   strcat(filerespl,fileresu);
                   8464:   if((ficrespl=fopen(filerespl,"w"))==NULL) {
                   8465:     printf("Problem with period (stable) prevalence resultfile: %s\n", filerespl);return 1;
                   8466:     fprintf(ficlog,"Problem with period (stable) prevalence resultfile: %s\n", filerespl);return 1;
                   8467:   }
1.227     brouard  8468:   printf("\nComputing period (stable) prevalence: result on file '%s' \n", filerespl);
                   8469:   fprintf(ficlog,"\nComputing period (stable) prevalence: result on file '%s' \n", filerespl);
1.202     brouard  8470:   pstamp(ficrespl);
1.203     brouard  8471:   fprintf(ficrespl,"# Period (stable) prevalence. Precision given by ftolpl=%g \n", ftolpl);
1.202     brouard  8472:   fprintf(ficrespl,"#Age ");
                   8473:   for(i=1; i<=nlstate;i++) fprintf(ficrespl,"%d-%d ",i,i);
                   8474:   fprintf(ficrespl,"\n");
1.180     brouard  8475:   
1.219     brouard  8476:   /* prlim=matrix(1,nlstate,1,nlstate);*/ /* back in main */
1.180     brouard  8477: 
1.219     brouard  8478:   agebase=ageminpar;
                   8479:   agelim=agemaxpar;
1.180     brouard  8480: 
1.227     brouard  8481:   /* i1=pow(2,ncoveff); */
                   8482:   i1=pow(2,cptcoveff); /* Number of dummy covariates */
1.219     brouard  8483:   if (cptcovn < 1){i1=1;}
1.180     brouard  8484: 
1.220     brouard  8485:   for(k=1; k<=i1;k++){
                   8486:   /* for(cptcov=1,k=0;cptcov<=i1;cptcov++){ */
1.180     brouard  8487:     /* for(cptcov=1,k=0;cptcov<=1;cptcov++){ */
1.219     brouard  8488:     //for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){
1.220     brouard  8489:     /* k=k+1; */
1.219     brouard  8490:     /* to clean */
                   8491:     //printf("cptcov=%d cptcod=%d codtab=%d\n",cptcov, cptcod,codtabm(cptcod,cptcov));
                   8492:     fprintf(ficrespl,"#******");
                   8493:     printf("#******");
                   8494:     fprintf(ficlog,"#******");
1.227     brouard  8495:     for(j=1;j<=cptcoveff ;j++) {/* all covariates */
                   8496:       fprintf(ficrespl," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]); /* Here problem for varying dummy*/
1.219     brouard  8497:       printf(" V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8498:       fprintf(ficlog," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8499:     }
                   8500:     fprintf(ficrespl,"******\n");
                   8501:     printf("******\n");
                   8502:     fprintf(ficlog,"******\n");
1.227     brouard  8503:     if(invalidvarcomb[k]){
                   8504:       printf("\nCombination (%d) ignored because no case \n",k); 
                   8505:       fprintf(ficrespl,"#Combination (%d) ignored because no case \n",k); 
                   8506:       fprintf(ficlog,"\nCombination (%d) ignored because no case \n",k); 
1.220     brouard  8507:                                                continue;
1.227     brouard  8508:     }
1.219     brouard  8509: 
                   8510:     fprintf(ficrespl,"#Age ");
1.227     brouard  8511:     for(j=1;j<=cptcoveff;j++) {
1.219     brouard  8512:       fprintf(ficrespl,"V%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8513:     }
                   8514:     for(i=1; i<=nlstate;i++) fprintf(ficrespl,"  %d-%d   ",i,i);
                   8515:     fprintf(ficrespl,"Total Years_to_converge\n");
1.227     brouard  8516:     
1.219     brouard  8517:     for (age=agebase; age<=agelim; age++){
                   8518:       /* for (age=agebase; age<=agebase; age++){ */
                   8519:       prevalim(prlim, nlstate, p, age, oldm, savm, ftolpl, ncvyearp, k);
                   8520:       fprintf(ficrespl,"%.0f ",age );
1.227     brouard  8521:       for(j=1;j<=cptcoveff;j++)
                   8522:        fprintf(ficrespl,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.219     brouard  8523:       tot=0.;
                   8524:       for(i=1; i<=nlstate;i++){
1.227     brouard  8525:        tot +=  prlim[i][i];
                   8526:        fprintf(ficrespl," %.5f", prlim[i][i]);
1.219     brouard  8527:       }
                   8528:       fprintf(ficrespl," %.3f %d\n", tot, *ncvyearp);
                   8529:     } /* Age */
                   8530:     /* was end of cptcod */
                   8531:   } /* cptcov */
                   8532:   return 0;
1.180     brouard  8533: }
                   8534: 
1.218     brouard  8535: int back_prevalence_limit(double *p, double **bprlim, double ageminpar, double agemaxpar, double ftolpl, int *ncvyearp, double dateprev1,double dateprev2, int firstpass, int lastpass, int mobilavproj){
                   8536:        /*--------------- Back Prevalence limit  (period or stable prevalence) --------------*/
                   8537:        
                   8538:        /* Computes the back prevalence limit  for any combination      of covariate values 
                   8539:    * at any age between ageminpar and agemaxpar
                   8540:         */
1.217     brouard  8541:   int i, j, k, i1 ;
                   8542:   /* double ftolpl = 1.e-10; */
                   8543:   double age, agebase, agelim;
                   8544:   double tot;
1.218     brouard  8545:   /* double ***mobaverage; */
                   8546:   /* double     **dnewm, **doldm, **dsavm;  /\* for use *\/ */
1.217     brouard  8547: 
                   8548:   strcpy(fileresplb,"PLB_");
                   8549:   strcat(fileresplb,fileresu);
                   8550:   if((ficresplb=fopen(fileresplb,"w"))==NULL) {
                   8551:     printf("Problem with period (stable) back prevalence resultfile: %s\n", fileresplb);return 1;
                   8552:     fprintf(ficlog,"Problem with period (stable) back prevalence resultfile: %s\n", fileresplb);return 1;
                   8553:   }
                   8554:   printf("Computing period (stable) back prevalence: result on file '%s' \n", fileresplb);
                   8555:   fprintf(ficlog,"Computing period (stable) back prevalence: result on file '%s' \n", fileresplb);
                   8556:   pstamp(ficresplb);
                   8557:   fprintf(ficresplb,"# Period (stable) back prevalence. Precision given by ftolpl=%g \n", ftolpl);
                   8558:   fprintf(ficresplb,"#Age ");
                   8559:   for(i=1; i<=nlstate;i++) fprintf(ficresplb,"%d-%d ",i,i);
                   8560:   fprintf(ficresplb,"\n");
                   8561:   
1.218     brouard  8562:   
                   8563:   /* prlim=matrix(1,nlstate,1,nlstate);*/ /* back in main */
                   8564:   
                   8565:   agebase=ageminpar;
                   8566:   agelim=agemaxpar;
                   8567:   
                   8568:   
1.227     brouard  8569:   i1=pow(2,cptcoveff);
1.218     brouard  8570:   if (cptcovn < 1){i1=1;}
1.227     brouard  8571:   
                   8572:   for(k=1; k<=i1;k++){ 
1.218     brouard  8573:     //printf("cptcov=%d cptcod=%d codtab=%d\n",cptcov, cptcod,codtabm(cptcod,cptcov));
                   8574:     fprintf(ficresplb,"#******");
                   8575:     printf("#******");
                   8576:     fprintf(ficlog,"#******");
1.227     brouard  8577:     for(j=1;j<=cptcoveff ;j++) {/* all covariates */
1.218     brouard  8578:       fprintf(ficresplb," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8579:       printf(" V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8580:       fprintf(ficlog," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8581:     }
                   8582:     fprintf(ficresplb,"******\n");
                   8583:     printf("******\n");
                   8584:     fprintf(ficlog,"******\n");
1.227     brouard  8585:     if(invalidvarcomb[k]){
                   8586:       printf("\nCombination (%d) ignored because no cases \n",k); 
                   8587:       fprintf(ficresplb,"#Combination (%d) ignored because no cases \n",k); 
                   8588:       fprintf(ficlog,"\nCombination (%d) ignored because no cases \n",k); 
                   8589:       continue;
                   8590:     }
1.218     brouard  8591:     
                   8592:     fprintf(ficresplb,"#Age ");
1.227     brouard  8593:     for(j=1;j<=cptcoveff;j++) {
1.218     brouard  8594:       fprintf(ficresplb,"V%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8595:     }
                   8596:     for(i=1; i<=nlstate;i++) fprintf(ficresplb,"  %d-%d   ",i,i);
                   8597:     fprintf(ficresplb,"Total Years_to_converge\n");
                   8598:     
                   8599:     
                   8600:     for (age=agebase; age<=agelim; age++){
                   8601:       /* for (age=agebase; age<=agebase; age++){ */
                   8602:       if(mobilavproj > 0){
                   8603:        /* bprevalim(bprlim, mobaverage, nlstate, p, age, ageminpar, agemaxpar, oldm, savm, doldm, dsavm, ftolpl, ncvyearp, k); */
                   8604:        /* bprevalim(bprlim, mobaverage, nlstate, p, age, oldm, savm, dnewm, doldm, dsavm, ftolpl, ncvyearp, k); */
1.227     brouard  8605:        bprevalim(bprlim, mobaverage, nlstate, p, age, ftolpl, ncvyearp, k);
1.218     brouard  8606:       }else if (mobilavproj == 0){
1.227     brouard  8607:        printf("There is no chance to get back prevalence limit if data aren't non zero and summing to 1, please try a non null mobil_average(=%d) parameter or mobil_average=-1 if you want to try at your own risk.\n",mobilavproj);
                   8608:        fprintf(ficlog,"There is no chance to get back prevalence limit if data aren't non zero and summing to 1, please try a non null mobil_average(=%d) parameter or mobil_average=-1 if you want to try at your own risk.\n",mobilavproj);
                   8609:        exit(1);
1.218     brouard  8610:       }else{
1.227     brouard  8611:        /* bprevalim(bprlim, probs, nlstate, p, age, oldm, savm, dnewm, doldm, dsavm, ftolpl, ncvyearp, k); */
                   8612:        bprevalim(bprlim, probs, nlstate, p, age, ftolpl, ncvyearp, k);
1.218     brouard  8613:       }
                   8614:       fprintf(ficresplb,"%.0f ",age );
1.227     brouard  8615:       for(j=1;j<=cptcoveff;j++)
                   8616:        fprintf(ficresplb,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.218     brouard  8617:       tot=0.;
                   8618:       for(i=1; i<=nlstate;i++){
1.227     brouard  8619:        tot +=  bprlim[i][i];
                   8620:        fprintf(ficresplb," %.5f", bprlim[i][i]);
1.218     brouard  8621:       }
                   8622:       fprintf(ficresplb," %.3f %d\n", tot, *ncvyearp);
                   8623:     } /* Age */
                   8624:     /* was end of cptcod */
                   8625:   } /* cptcov */
                   8626:   
                   8627:   /* hBijx(p, bage, fage); */
                   8628:   /* fclose(ficrespijb); */
                   8629:   
                   8630:   return 0;
1.217     brouard  8631: }
1.218     brouard  8632:  
1.180     brouard  8633: int hPijx(double *p, int bage, int fage){
                   8634:     /*------------- h Pij x at various ages ------------*/
                   8635: 
                   8636:   int stepsize;
                   8637:   int agelim;
                   8638:   int hstepm;
                   8639:   int nhstepm;
                   8640:   int h, i, i1, j, k;
                   8641: 
                   8642:   double agedeb;
                   8643:   double ***p3mat;
                   8644: 
1.201     brouard  8645:     strcpy(filerespij,"PIJ_");  strcat(filerespij,fileresu);
1.180     brouard  8646:     if((ficrespij=fopen(filerespij,"w"))==NULL) {
                   8647:       printf("Problem with Pij resultfile: %s\n", filerespij); return 1;
                   8648:       fprintf(ficlog,"Problem with Pij resultfile: %s\n", filerespij); return 1;
                   8649:     }
                   8650:     printf("Computing pij: result on file '%s' \n", filerespij);
                   8651:     fprintf(ficlog,"Computing pij: result on file '%s' \n", filerespij);
                   8652:   
                   8653:     stepsize=(int) (stepm+YEARM-1)/YEARM;
                   8654:     /*if (stepm<=24) stepsize=2;*/
                   8655: 
                   8656:     agelim=AGESUP;
                   8657:     hstepm=stepsize*YEARM; /* Every year of age */
                   8658:     hstepm=hstepm/stepm; /* Typically 2 years, = 2/6 months = 4 */ 
1.218     brouard  8659:                
1.180     brouard  8660:     /* hstepm=1;   aff par mois*/
                   8661:     pstamp(ficrespij);
                   8662:     fprintf(ficrespij,"#****** h Pij x Probability to be in state j at age x+h being in i at x ");
1.227     brouard  8663:     i1= pow(2,cptcoveff);
1.218     brouard  8664:                /* for(cptcov=1,k=0;cptcov<=i1;cptcov++){ */
                   8665:                /*    /\*for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*\/ */
                   8666:                /*      k=k+1;  */
1.227     brouard  8667:     for (k=1; k <= (int) pow(2,cptcoveff); k++){
1.183     brouard  8668:       fprintf(ficrespij,"\n#****** ");
1.227     brouard  8669:       for(j=1;j<=cptcoveff;j++) 
1.198     brouard  8670:        fprintf(ficrespij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.183     brouard  8671:       fprintf(ficrespij,"******\n");
                   8672:       
                   8673:       for (agedeb=fage; agedeb>=bage; agedeb--){ /* If stepm=6 months */
                   8674:        nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
                   8675:        nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
                   8676:        
                   8677:        /*        nhstepm=nhstepm*YEARM; aff par mois*/
1.180     brouard  8678:        
1.183     brouard  8679:        p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   8680:        oldm=oldms;savm=savms;
                   8681:        hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);  
                   8682:        fprintf(ficrespij,"# Cov Agex agex+h hpijx with i,j=");
                   8683:        for(i=1; i<=nlstate;i++)
                   8684:          for(j=1; j<=nlstate+ndeath;j++)
                   8685:            fprintf(ficrespij," %1d-%1d",i,j);
                   8686:        fprintf(ficrespij,"\n");
                   8687:        for (h=0; h<=nhstepm; h++){
                   8688:          /*agedebphstep = agedeb + h*hstepm/YEARM*stepm;*/
                   8689:          fprintf(ficrespij,"%d %3.f %3.f",k, agedeb, agedeb + h*hstepm/YEARM*stepm );
1.180     brouard  8690:          for(i=1; i<=nlstate;i++)
                   8691:            for(j=1; j<=nlstate+ndeath;j++)
1.183     brouard  8692:              fprintf(ficrespij," %.5f", p3mat[i][j][h]);
1.180     brouard  8693:          fprintf(ficrespij,"\n");
                   8694:        }
1.183     brouard  8695:        free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   8696:        fprintf(ficrespij,"\n");
                   8697:       }
1.180     brouard  8698:       /*}*/
                   8699:     }
1.218     brouard  8700:     return 0;
1.180     brouard  8701: }
1.218     brouard  8702:  
                   8703:  int hBijx(double *p, int bage, int fage, double ***prevacurrent){
1.217     brouard  8704:     /*------------- h Bij x at various ages ------------*/
                   8705: 
                   8706:   int stepsize;
1.218     brouard  8707:   /* int agelim; */
                   8708:        int ageminl;
1.217     brouard  8709:   int hstepm;
                   8710:   int nhstepm;
                   8711:   int h, i, i1, j, k;
1.218     brouard  8712:        
1.217     brouard  8713:   double agedeb;
                   8714:   double ***p3mat;
1.218     brouard  8715:        
                   8716:   strcpy(filerespijb,"PIJB_");  strcat(filerespijb,fileresu);
                   8717:   if((ficrespijb=fopen(filerespijb,"w"))==NULL) {
                   8718:     printf("Problem with Pij back resultfile: %s\n", filerespijb); return 1;
                   8719:     fprintf(ficlog,"Problem with Pij back resultfile: %s\n", filerespijb); return 1;
                   8720:   }
                   8721:   printf("Computing pij back: result on file '%s' \n", filerespijb);
                   8722:   fprintf(ficlog,"Computing pij back: result on file '%s' \n", filerespijb);
                   8723:   
                   8724:   stepsize=(int) (stepm+YEARM-1)/YEARM;
                   8725:   /*if (stepm<=24) stepsize=2;*/
1.217     brouard  8726:   
1.218     brouard  8727:   /* agelim=AGESUP; */
                   8728:   ageminl=30;
                   8729:   hstepm=stepsize*YEARM; /* Every year of age */
                   8730:   hstepm=hstepm/stepm; /* Typically 2 years, = 2/6 months = 4 */
                   8731:   
                   8732:   /* hstepm=1;   aff par mois*/
                   8733:   pstamp(ficrespijb);
                   8734:   fprintf(ficrespijb,"#****** h Pij x Back Probability to be in state i at age x-h being in j at x ");
1.227     brouard  8735:   i1= pow(2,cptcoveff);
1.218     brouard  8736:   /* for(cptcov=1,k=0;cptcov<=i1;cptcov++){ */
                   8737:   /*    /\*for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*\/ */
                   8738:   /*   k=k+1;  */
1.227     brouard  8739:   for (k=1; k <= (int) pow(2,cptcoveff); k++){
1.218     brouard  8740:     fprintf(ficrespijb,"\n#****** ");
1.227     brouard  8741:     for(j=1;j<=cptcoveff;j++)
1.218     brouard  8742:       fprintf(ficrespijb,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8743:     fprintf(ficrespijb,"******\n");
1.222     brouard  8744:     if(invalidvarcomb[k]){
                   8745:       fprintf(ficrespijb,"\n#Combination (%d) ignored because no cases \n",k); 
                   8746:       continue;
                   8747:     }
1.218     brouard  8748:     
                   8749:     /* for (agedeb=fage; agedeb>=bage; agedeb--){ /\* If stepm=6 months *\/ */
                   8750:     for (agedeb=bage; agedeb<=fage; agedeb++){ /* If stepm=6 months and estepm=24 (2 years) */
                   8751:       /* nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); /\* Typically 20 years = 20*12/6=40 *\/ */
                   8752:       nhstepm=(int) rint((agedeb-ageminl)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */
                   8753:       nhstepm = nhstepm/hstepm; /* Typically 40/4=10, because estepm=24 stepm=6 => hstepm=24/6=4 */
                   8754:       
                   8755:       /*         nhstepm=nhstepm*YEARM; aff par mois*/
                   8756:       
                   8757:       p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   8758:       /* oldm=oldms;savm=savms; */
                   8759:       /* hbxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);   */
                   8760:       hbxij(p3mat,nhstepm,agedeb,hstepm,p,prevacurrent,nlstate,stepm, k);
                   8761:       /* hbxij(p3mat,nhstepm,agedeb,hstepm,p,prevacurrent,nlstate,stepm,oldm,savm, dnewm, doldm, dsavm, k); */
                   8762:       fprintf(ficrespijb,"# Cov Agex agex-h hpijx with i,j=");
                   8763:       for(i=1; i<=nlstate;i++)
                   8764:        for(j=1; j<=nlstate+ndeath;j++)
                   8765:          fprintf(ficrespijb," %1d-%1d",i,j);
                   8766:       fprintf(ficrespijb,"\n");
                   8767:       for (h=0; h<=nhstepm; h++){
                   8768:        /*agedebphstep = agedeb + h*hstepm/YEARM*stepm;*/
                   8769:        fprintf(ficrespijb,"%d %3.f %3.f",k, agedeb, agedeb - h*hstepm/YEARM*stepm );
                   8770:        /* fprintf(ficrespijb,"%d %3.f %3.f",k, agedeb, agedeb + h*hstepm/YEARM*stepm ); */
1.217     brouard  8771:        for(i=1; i<=nlstate;i++)
                   8772:          for(j=1; j<=nlstate+ndeath;j++)
1.218     brouard  8773:            fprintf(ficrespijb," %.5f", p3mat[i][j][h]);
1.217     brouard  8774:        fprintf(ficrespijb,"\n");
                   8775:       }
1.218     brouard  8776:       free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   8777:       fprintf(ficrespijb,"\n");
1.217     brouard  8778:     }
1.218     brouard  8779:     /*}*/
                   8780:   }
                   8781:   return 0;
                   8782:  } /*  hBijx */
1.217     brouard  8783: 
1.180     brouard  8784: 
1.136     brouard  8785: /***********************************************/
                   8786: /**************** Main Program *****************/
                   8787: /***********************************************/
                   8788: 
                   8789: int main(int argc, char *argv[])
                   8790: {
                   8791: #ifdef GSL
                   8792:   const gsl_multimin_fminimizer_type *T;
                   8793:   size_t iteri = 0, it;
                   8794:   int rval = GSL_CONTINUE;
                   8795:   int status = GSL_SUCCESS;
                   8796:   double ssval;
                   8797: #endif
                   8798:   int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav);
1.164     brouard  8799:   int i,j, k, n=MAXN,iter=0,m,size=100, cptcod;
1.209     brouard  8800:   int ncvyear=0; /* Number of years needed for the period prevalence to converge */
1.164     brouard  8801:   int jj, ll, li, lj, lk;
1.136     brouard  8802:   int numlinepar=0; /* Current linenumber of parameter file */
1.197     brouard  8803:   int num_filled;
1.136     brouard  8804:   int itimes;
                   8805:   int NDIM=2;
                   8806:   int vpopbased=0;
                   8807: 
1.164     brouard  8808:   char ca[32], cb[32];
1.136     brouard  8809:   /*  FILE *fichtm; *//* Html File */
                   8810:   /* FILE *ficgp;*/ /*Gnuplot File */
                   8811:   struct stat info;
1.191     brouard  8812:   double agedeb=0.;
1.194     brouard  8813: 
                   8814:   double ageminpar=AGEOVERFLOW,agemin=AGEOVERFLOW, agemaxpar=-AGEOVERFLOW, agemax=-AGEOVERFLOW;
1.219     brouard  8815:   double ageminout=-AGEOVERFLOW,agemaxout=AGEOVERFLOW; /* Smaller Age range redefined after movingaverage */
1.136     brouard  8816: 
1.165     brouard  8817:   double fret;
1.191     brouard  8818:   double dum=0.; /* Dummy variable */
1.136     brouard  8819:   double ***p3mat;
1.218     brouard  8820:   /* double ***mobaverage; */
1.164     brouard  8821: 
                   8822:   char line[MAXLINE];
1.197     brouard  8823:   char path[MAXLINE],pathc[MAXLINE],pathcd[MAXLINE],pathtot[MAXLINE];
                   8824: 
                   8825:   char model[MAXLINE], modeltemp[MAXLINE];
1.136     brouard  8826:   char pathr[MAXLINE], pathimach[MAXLINE]; 
1.164     brouard  8827:   char *tok, *val; /* pathtot */
1.136     brouard  8828:   int firstobs=1, lastobs=10;
1.195     brouard  8829:   int c,  h , cpt, c2;
1.191     brouard  8830:   int jl=0;
                   8831:   int i1, j1, jk, stepsize=0;
1.194     brouard  8832:   int count=0;
                   8833: 
1.164     brouard  8834:   int *tab; 
1.136     brouard  8835:   int mobilavproj=0 , prevfcast=0 ; /* moving average of prev, If prevfcast=1 prevalence projection */
1.217     brouard  8836:   int backcast=0;
1.136     brouard  8837:   int mobilav=0,popforecast=0;
1.191     brouard  8838:   int hstepm=0, nhstepm=0;
1.136     brouard  8839:   int agemortsup;
                   8840:   float  sumlpop=0.;
                   8841:   double jprev1=1, mprev1=1,anprev1=2000,jprev2=1, mprev2=1,anprev2=2000;
                   8842:   double jpyram=1, mpyram=1,anpyram=2000,jpyram1=1, mpyram1=1,anpyram1=2000;
                   8843: 
1.191     brouard  8844:   double bage=0, fage=110., age, agelim=0., agebase=0.;
1.136     brouard  8845:   double ftolpl=FTOL;
                   8846:   double **prlim;
1.217     brouard  8847:   double **bprlim;
1.136     brouard  8848:   double ***param; /* Matrix of parameters */
                   8849:   double  *p;
                   8850:   double **matcov; /* Matrix of covariance */
1.203     brouard  8851:   double **hess; /* Hessian matrix */
1.136     brouard  8852:   double ***delti3; /* Scale */
                   8853:   double *delti; /* Scale */
                   8854:   double ***eij, ***vareij;
                   8855:   double **varpl; /* Variances of prevalence limits by age */
                   8856:   double *epj, vepp;
1.164     brouard  8857: 
1.136     brouard  8858:   double dateprev1, dateprev2,jproj1=1,mproj1=1,anproj1=2000,jproj2=1,mproj2=1,anproj2=2000;
1.217     brouard  8859:   double jback1=1,mback1=1,anback1=2000,jback2=1,mback2=1,anback2=2000;
                   8860: 
1.136     brouard  8861:   double **ximort;
1.145     brouard  8862:   char *alph[]={"a","a","b","c","d","e"}, str[4]="1234";
1.136     brouard  8863:   int *dcwave;
                   8864: 
1.164     brouard  8865:   char z[1]="c";
1.136     brouard  8866: 
                   8867:   /*char  *strt;*/
                   8868:   char strtend[80];
1.126     brouard  8869: 
1.164     brouard  8870: 
1.126     brouard  8871: /*   setlocale (LC_ALL, ""); */
                   8872: /*   bindtextdomain (PACKAGE, LOCALEDIR); */
                   8873: /*   textdomain (PACKAGE); */
                   8874: /*   setlocale (LC_CTYPE, ""); */
                   8875: /*   setlocale (LC_MESSAGES, ""); */
                   8876: 
                   8877:   /*   gettimeofday(&start_time, (struct timezone*)0); */ /* at first time */
1.157     brouard  8878:   rstart_time = time(NULL);  
                   8879:   /*  (void) gettimeofday(&start_time,&tzp);*/
                   8880:   start_time = *localtime(&rstart_time);
1.126     brouard  8881:   curr_time=start_time;
1.157     brouard  8882:   /*tml = *localtime(&start_time.tm_sec);*/
                   8883:   /* strcpy(strstart,asctime(&tml)); */
                   8884:   strcpy(strstart,asctime(&start_time));
1.126     brouard  8885: 
                   8886: /*  printf("Localtime (at start)=%s",strstart); */
1.157     brouard  8887: /*  tp.tm_sec = tp.tm_sec +86400; */
                   8888: /*  tm = *localtime(&start_time.tm_sec); */
1.126     brouard  8889: /*   tmg.tm_year=tmg.tm_year +dsign*dyear; */
                   8890: /*   tmg.tm_mon=tmg.tm_mon +dsign*dmonth; */
                   8891: /*   tmg.tm_hour=tmg.tm_hour + 1; */
1.157     brouard  8892: /*   tp.tm_sec = mktime(&tmg); */
1.126     brouard  8893: /*   strt=asctime(&tmg); */
                   8894: /*   printf("Time(after) =%s",strstart);  */
                   8895: /*  (void) time (&time_value);
                   8896: *  printf("time=%d,t-=%d\n",time_value,time_value-86400);
                   8897: *  tm = *localtime(&time_value);
                   8898: *  strstart=asctime(&tm);
                   8899: *  printf("tim_value=%d,asctime=%s\n",time_value,strstart); 
                   8900: */
                   8901: 
                   8902:   nberr=0; /* Number of errors and warnings */
                   8903:   nbwarn=0;
1.184     brouard  8904: #ifdef WIN32
                   8905:   _getcwd(pathcd, size);
                   8906: #else
1.126     brouard  8907:   getcwd(pathcd, size);
1.184     brouard  8908: #endif
1.191     brouard  8909:   syscompilerinfo(0);
1.196     brouard  8910:   printf("\nIMaCh version %s, %s\n%s",version, copyright, fullversion);
1.126     brouard  8911:   if(argc <=1){
                   8912:     printf("\nEnter the parameter file name: ");
1.205     brouard  8913:     if(!fgets(pathr,FILENAMELENGTH,stdin)){
                   8914:       printf("ERROR Empty parameter file name\n");
                   8915:       goto end;
                   8916:     }
1.126     brouard  8917:     i=strlen(pathr);
                   8918:     if(pathr[i-1]=='\n')
                   8919:       pathr[i-1]='\0';
1.156     brouard  8920:     i=strlen(pathr);
1.205     brouard  8921:     if(i >= 1 && pathr[i-1]==' ') {/* This may happen when dragging on oS/X! */
1.156     brouard  8922:       pathr[i-1]='\0';
1.205     brouard  8923:     }
                   8924:     i=strlen(pathr);
                   8925:     if( i==0 ){
                   8926:       printf("ERROR Empty parameter file name\n");
                   8927:       goto end;
                   8928:     }
                   8929:     for (tok = pathr; tok != NULL; ){
1.126     brouard  8930:       printf("Pathr |%s|\n",pathr);
                   8931:       while ((val = strsep(&tok, "\"" )) != NULL && *val == '\0');
                   8932:       printf("val= |%s| pathr=%s\n",val,pathr);
                   8933:       strcpy (pathtot, val);
                   8934:       if(pathr[0] == '\0') break; /* Dirty */
                   8935:     }
                   8936:   }
                   8937:   else{
                   8938:     strcpy(pathtot,argv[1]);
                   8939:   }
                   8940:   /*if(getcwd(pathcd, MAXLINE)!= NULL)printf ("Error pathcd\n");*/
                   8941:   /*cygwin_split_path(pathtot,path,optionfile);
                   8942:     printf("pathtot=%s, path=%s, optionfile=%s\n",pathtot,path,optionfile);*/
                   8943:   /* cutv(path,optionfile,pathtot,'\\');*/
                   8944: 
                   8945:   /* Split argv[0], imach program to get pathimach */
                   8946:   printf("\nargv[0]=%s argv[1]=%s, \n",argv[0],argv[1]);
                   8947:   split(argv[0],pathimach,optionfile,optionfilext,optionfilefiname);
                   8948:   printf("\nargv[0]=%s pathimach=%s, \noptionfile=%s \noptionfilext=%s \noptionfilefiname=%s\n",argv[0],pathimach,optionfile,optionfilext,optionfilefiname);
                   8949:  /*   strcpy(pathimach,argv[0]); */
                   8950:   /* Split argv[1]=pathtot, parameter file name to get path, optionfile, extension and name */
                   8951:   split(pathtot,path,optionfile,optionfilext,optionfilefiname);
                   8952:   printf("\npathtot=%s,\npath=%s,\noptionfile=%s \noptionfilext=%s \noptionfilefiname=%s\n",pathtot,path,optionfile,optionfilext,optionfilefiname);
1.184     brouard  8953: #ifdef WIN32
                   8954:   _chdir(path); /* Can be a relative path */
                   8955:   if(_getcwd(pathcd,MAXLINE) > 0) /* So pathcd is the full path */
                   8956: #else
1.126     brouard  8957:   chdir(path); /* Can be a relative path */
1.184     brouard  8958:   if (getcwd(pathcd, MAXLINE) > 0) /* So pathcd is the full path */
                   8959: #endif
                   8960:   printf("Current directory %s!\n",pathcd);
1.126     brouard  8961:   strcpy(command,"mkdir ");
                   8962:   strcat(command,optionfilefiname);
                   8963:   if((outcmd=system(command)) != 0){
1.169     brouard  8964:     printf("Directory already exists (or can't create it) %s%s, err=%d\n",path,optionfilefiname,outcmd);
1.126     brouard  8965:     /* fprintf(ficlog,"Problem creating directory %s%s\n",path,optionfilefiname); */
                   8966:     /* fclose(ficlog); */
                   8967: /*     exit(1); */
                   8968:   }
                   8969: /*   if((imk=mkdir(optionfilefiname))<0){ */
                   8970: /*     perror("mkdir"); */
                   8971: /*   } */
                   8972: 
                   8973:   /*-------- arguments in the command line --------*/
                   8974: 
1.186     brouard  8975:   /* Main Log file */
1.126     brouard  8976:   strcat(filelog, optionfilefiname);
                   8977:   strcat(filelog,".log");    /* */
                   8978:   if((ficlog=fopen(filelog,"w"))==NULL)    {
                   8979:     printf("Problem with logfile %s\n",filelog);
                   8980:     goto end;
                   8981:   }
                   8982:   fprintf(ficlog,"Log filename:%s\n",filelog);
1.197     brouard  8983:   fprintf(ficlog,"Version %s %s",version,fullversion);
1.126     brouard  8984:   fprintf(ficlog,"\nEnter the parameter file name: \n");
                   8985:   fprintf(ficlog,"pathimach=%s\npathtot=%s\n\
                   8986:  path=%s \n\
                   8987:  optionfile=%s\n\
                   8988:  optionfilext=%s\n\
1.156     brouard  8989:  optionfilefiname='%s'\n",pathimach,pathtot,path,optionfile,optionfilext,optionfilefiname);
1.126     brouard  8990: 
1.197     brouard  8991:   syscompilerinfo(1);
1.167     brouard  8992: 
1.126     brouard  8993:   printf("Local time (at start):%s",strstart);
                   8994:   fprintf(ficlog,"Local time (at start): %s",strstart);
                   8995:   fflush(ficlog);
                   8996: /*   (void) gettimeofday(&curr_time,&tzp); */
1.157     brouard  8997: /*   printf("Elapsed time %d\n", asc_diff_time(curr_time.tm_sec-start_time.tm_sec,tmpout)); */
1.126     brouard  8998: 
                   8999:   /* */
                   9000:   strcpy(fileres,"r");
                   9001:   strcat(fileres, optionfilefiname);
1.201     brouard  9002:   strcat(fileresu, optionfilefiname); /* Without r in front */
1.126     brouard  9003:   strcat(fileres,".txt");    /* Other files have txt extension */
1.201     brouard  9004:   strcat(fileresu,".txt");    /* Other files have txt extension */
1.126     brouard  9005: 
1.186     brouard  9006:   /* Main ---------arguments file --------*/
1.126     brouard  9007: 
                   9008:   if((ficpar=fopen(optionfile,"r"))==NULL)    {
1.155     brouard  9009:     printf("Problem with optionfile '%s' with errno='%s'\n",optionfile,strerror(errno));
                   9010:     fprintf(ficlog,"Problem with optionfile '%s' with errno='%s'\n",optionfile,strerror(errno));
1.126     brouard  9011:     fflush(ficlog);
1.149     brouard  9012:     /* goto end; */
                   9013:     exit(70); 
1.126     brouard  9014:   }
                   9015: 
                   9016: 
                   9017: 
                   9018:   strcpy(filereso,"o");
1.201     brouard  9019:   strcat(filereso,fileresu);
1.126     brouard  9020:   if((ficparo=fopen(filereso,"w"))==NULL) { /* opened on subdirectory */
                   9021:     printf("Problem with Output resultfile: %s\n", filereso);
                   9022:     fprintf(ficlog,"Problem with Output resultfile: %s\n", filereso);
                   9023:     fflush(ficlog);
                   9024:     goto end;
                   9025:   }
                   9026: 
                   9027:   /* Reads comments: lines beginning with '#' */
                   9028:   numlinepar=0;
1.197     brouard  9029: 
                   9030:     /* First parameter line */
                   9031:   while(fgets(line, MAXLINE, ficpar)) {
                   9032:     /* If line starts with a # it is a comment */
                   9033:     if (line[0] == '#') {
                   9034:       numlinepar++;
                   9035:       fputs(line,stdout);
                   9036:       fputs(line,ficparo);
                   9037:       fputs(line,ficlog);
                   9038:       continue;
                   9039:     }else
                   9040:       break;
                   9041:   }
                   9042:   if((num_filled=sscanf(line,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", \
                   9043:                        title, datafile, &lastobs, &firstpass,&lastpass)) !=EOF){
                   9044:     if (num_filled != 5) {
                   9045:       printf("Should be 5 parameters\n");
                   9046:     }
1.126     brouard  9047:     numlinepar++;
1.197     brouard  9048:     printf("title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", title, datafile, lastobs, firstpass,lastpass);
                   9049:   }
                   9050:   /* Second parameter line */
                   9051:   while(fgets(line, MAXLINE, ficpar)) {
                   9052:     /* If line starts with a # it is a comment */
                   9053:     if (line[0] == '#') {
                   9054:       numlinepar++;
                   9055:       fputs(line,stdout);
                   9056:       fputs(line,ficparo);
                   9057:       fputs(line,ficlog);
                   9058:       continue;
                   9059:     }else
                   9060:       break;
                   9061:   }
1.223     brouard  9062:   if((num_filled=sscanf(line,"ftol=%lf stepm=%d ncovcol=%d nqv=%d ntv=%d nqtv=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\n", \
                   9063:                        &ftol, &stepm, &ncovcol, &nqv, &ntv, &nqtv, &nlstate, &ndeath, &maxwav, &mle, &weightopt)) !=EOF){
                   9064:     if (num_filled != 11) {
                   9065:       printf("Not 11 parameters, for example:ftol=1.e-8 stepm=12 ncovcol=2 nqv=1 ntv=2 nqtv=1  nlstate=2 ndeath=1 maxwav=3 mle=1 weight=1\n");
1.209     brouard  9066:       printf("but line=%s\n",line);
1.197     brouard  9067:     }
1.223     brouard  9068:     printf("ftol=%e stepm=%d ncovcol=%d nqv=%d ntv=%d nqtv=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\n",ftol, stepm, ncovcol, nqv, ntv, nqtv, nlstate, ndeath, maxwav, mle, weightopt);
1.126     brouard  9069:   }
1.203     brouard  9070:   /* ftolpl=6*ftol*1.e5; /\* 6.e-3 make convergences in less than 80 loops for the prevalence limit *\/ */
1.209     brouard  9071:   /*ftolpl=6.e-4; *//* 6.e-3 make convergences in less than 80 loops for the prevalence limit */
1.197     brouard  9072:   /* Third parameter line */
                   9073:   while(fgets(line, MAXLINE, ficpar)) {
                   9074:     /* If line starts with a # it is a comment */
                   9075:     if (line[0] == '#') {
                   9076:       numlinepar++;
                   9077:       fputs(line,stdout);
                   9078:       fputs(line,ficparo);
                   9079:       fputs(line,ficlog);
                   9080:       continue;
                   9081:     }else
                   9082:       break;
                   9083:   }
1.201     brouard  9084:   if((num_filled=sscanf(line,"model=1+age%[^.\n]", model)) !=EOF){
                   9085:     if (num_filled == 0)
                   9086:             model[0]='\0';
                   9087:     else if (num_filled != 1){
1.197     brouard  9088:       printf("ERROR %d: Model should be at minimum 'model=1+age.' %s\n",num_filled, line);
                   9089:       fprintf(ficlog,"ERROR %d: Model should be at minimum 'model=1+age.' %s\n",num_filled, line);
                   9090:       model[0]='\0';
                   9091:       goto end;
                   9092:     }
                   9093:     else{
                   9094:       if (model[0]=='+'){
                   9095:        for(i=1; i<=strlen(model);i++)
                   9096:          modeltemp[i-1]=model[i];
1.201     brouard  9097:        strcpy(model,modeltemp); 
1.197     brouard  9098:       }
                   9099:     }
1.199     brouard  9100:     /* printf(" model=1+age%s modeltemp= %s, model=%s\n",model, modeltemp, model);fflush(stdout); */
1.203     brouard  9101:     printf("model=1+age+%s\n",model);fflush(stdout);
1.197     brouard  9102:   }
                   9103:   /* 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); */
                   9104:   /* numlinepar=numlinepar+3; /\* In general *\/ */
                   9105:   /* 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); */
1.223     brouard  9106:   fprintf(ficparo,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncovcol=%d nqv=%d ntv=%d nqtv=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\nmodel=1+age+%s.\n", title, datafile, lastobs, firstpass,lastpass,ftol,stepm,ncovcol, nqv, ntv, nqtv, nlstate,ndeath,maxwav, mle, weightopt,model);
                   9107:   fprintf(ficlog,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncovcol=%d nqv=%d ntv=%d nqtv=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\nmodel=1+age+%s.\n", title, datafile, lastobs, firstpass,lastpass,ftol,stepm,ncovcol, nqv, ntv, nqtv, nlstate,ndeath,maxwav, mle, weightopt,model);
1.126     brouard  9108:   fflush(ficlog);
1.190     brouard  9109:   /* if(model[0]=='#'|| model[0]== '\0'){ */
                   9110:   if(model[0]=='#'){
1.187     brouard  9111:     printf("Error in 'model' line: model should start with 'model=1+age+' and end with '.' \n \
                   9112:  'model=1+age+.' or 'model=1+age+V1.' or 'model=1+age+age*age+V1+V1*age.' or \n \
                   9113:  'model=1+age+V1+V2.' or 'model=1+age+V1+V2+V1*V2.' etc. \n");         \
                   9114:     if(mle != -1){
                   9115:       printf("Fix the model line and run imach with mle=-1 to get a correct template of the parameter file.\n");
                   9116:       exit(1);
                   9117:     }
                   9118:   }
1.126     brouard  9119:   while((c=getc(ficpar))=='#' && c!= EOF){
                   9120:     ungetc(c,ficpar);
                   9121:     fgets(line, MAXLINE, ficpar);
                   9122:     numlinepar++;
1.195     brouard  9123:     if(line[1]=='q'){ /* This #q will quit imach (the answer is q) */
                   9124:       z[0]=line[1];
                   9125:     }
                   9126:     /* printf("****line [1] = %c \n",line[1]); */
1.141     brouard  9127:     fputs(line, stdout);
                   9128:     //puts(line);
1.126     brouard  9129:     fputs(line,ficparo);
                   9130:     fputs(line,ficlog);
                   9131:   }
                   9132:   ungetc(c,ficpar);
                   9133: 
                   9134:    
1.145     brouard  9135:   covar=matrix(0,NCOVMAX,1,n);  /**< used in readdata */
1.225     brouard  9136:   coqvar=matrix(1,nqv,1,n);  /**< Fixed quantitative covariate */
                   9137:   cotvar=ma3x(1,maxwav,1,ntv,1,n);  /**< Time varying covariate */
                   9138:   cotqvar=ma3x(1,maxwav,1,nqtv,1,n);  /**< Time varying quantitative covariate */
1.136     brouard  9139:   cptcovn=0; /*Number of covariates, i.e. number of '+' in model statement plus one, indepently of n in Vn*/
                   9140:   /* v1+v2+v3+v2*v4+v5*age makes cptcovn = 5
                   9141:      v1+v2*age+v2*v3 makes cptcovn = 3
                   9142:   */
                   9143:   if (strlen(model)>1) 
1.187     brouard  9144:     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  9145:   else
1.187     brouard  9146:     ncovmodel=2; /* Constant and age */
1.133     brouard  9147:   nforce= (nlstate+ndeath-1)*nlstate; /* Number of forces ij from state i to j */
                   9148:   npar= nforce*ncovmodel; /* Number of parameters like aij*/
1.131     brouard  9149:   if(npar >MAXPARM || nlstate >NLSTATEMAX || ndeath >NDEATHMAX || ncovmodel>NCOVMAX){
                   9150:     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);
                   9151:     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);
                   9152:     fflush(stdout);
                   9153:     fclose (ficlog);
                   9154:     goto end;
                   9155:   }
1.126     brouard  9156:   delti3= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
                   9157:   delti=delti3[1][1];
                   9158:   /*delti=vector(1,npar); *//* Scale of each paramater (output from hesscov)*/
                   9159:   if(mle==-1){ /* Print a wizard for help writing covariance matrix */
                   9160:     prwizard(ncovmodel, nlstate, ndeath, model, ficparo);
1.191     brouard  9161:     printf(" You chose mle=-1, look at file %s for a template of covariance matrix \n",filereso);
                   9162:     fprintf(ficlog," You chose mle=-1, look at file %s for a template of covariance matrix \n",filereso);
1.126     brouard  9163:     free_ma3x(delti3,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel); 
                   9164:     fclose (ficparo);
                   9165:     fclose (ficlog);
                   9166:     goto end;
                   9167:     exit(0);
1.220     brouard  9168:   }  else if(mle==-5) { /* Main Wizard */
1.126     brouard  9169:     prwizard(ncovmodel, nlstate, ndeath, model, ficparo);
1.192     brouard  9170:     printf(" You chose mle=-3, look at file %s for a template of covariance matrix \n",filereso);
                   9171:     fprintf(ficlog," You chose mle=-3, look at file %s for a template of covariance matrix \n",filereso);
1.126     brouard  9172:     param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
                   9173:     matcov=matrix(1,npar,1,npar);
1.203     brouard  9174:     hess=matrix(1,npar,1,npar);
1.220     brouard  9175:   }  else{ /* Begin of mle != -1 or -5 */
1.145     brouard  9176:     /* Read guessed parameters */
1.126     brouard  9177:     /* Reads comments: lines beginning with '#' */
                   9178:     while((c=getc(ficpar))=='#' && c!= EOF){
                   9179:       ungetc(c,ficpar);
                   9180:       fgets(line, MAXLINE, ficpar);
                   9181:       numlinepar++;
1.141     brouard  9182:       fputs(line,stdout);
1.126     brouard  9183:       fputs(line,ficparo);
                   9184:       fputs(line,ficlog);
                   9185:     }
                   9186:     ungetc(c,ficpar);
                   9187:     
                   9188:     param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
                   9189:     for(i=1; i <=nlstate; i++){
1.220     brouard  9190:                        j=0;
1.126     brouard  9191:       for(jj=1; jj <=nlstate+ndeath; jj++){
1.220     brouard  9192:                                if(jj==i) continue;
                   9193:                                j++;
                   9194:                                fscanf(ficpar,"%1d%1d",&i1,&j1);
                   9195:                                if ((i1 != i) || (j1 != jj)){
                   9196:                                        printf("Error in line parameters number %d, %1d%1d instead of %1d%1d \n \
1.126     brouard  9197: It might be a problem of design; if ncovcol and the model are correct\n \
                   9198: run imach with mle=-1 to get a correct template of the parameter file.\n",numlinepar, i,j, i1, j1);
1.220     brouard  9199:                                        exit(1);
                   9200:                                }
                   9201:                                fprintf(ficparo,"%1d%1d",i1,j1);
                   9202:                                if(mle==1)
                   9203:                                        printf("%1d%1d",i,jj);
                   9204:                                fprintf(ficlog,"%1d%1d",i,jj);
                   9205:                                for(k=1; k<=ncovmodel;k++){
                   9206:                                        fscanf(ficpar," %lf",&param[i][j][k]);
                   9207:                                        if(mle==1){
                   9208:                                                printf(" %lf",param[i][j][k]);
                   9209:                                                fprintf(ficlog," %lf",param[i][j][k]);
                   9210:                                        }
                   9211:                                        else
                   9212:                                                fprintf(ficlog," %lf",param[i][j][k]);
                   9213:                                        fprintf(ficparo," %lf",param[i][j][k]);
                   9214:                                }
                   9215:                                fscanf(ficpar,"\n");
                   9216:                                numlinepar++;
                   9217:                                if(mle==1)
                   9218:                                        printf("\n");
                   9219:                                fprintf(ficlog,"\n");
                   9220:                                fprintf(ficparo,"\n");
1.126     brouard  9221:       }
                   9222:     }  
                   9223:     fflush(ficlog);
                   9224: 
1.145     brouard  9225:     /* Reads scales values */
1.126     brouard  9226:     p=param[1][1];
                   9227:     
                   9228:     /* Reads comments: lines beginning with '#' */
                   9229:     while((c=getc(ficpar))=='#' && c!= EOF){
                   9230:       ungetc(c,ficpar);
                   9231:       fgets(line, MAXLINE, ficpar);
                   9232:       numlinepar++;
1.141     brouard  9233:       fputs(line,stdout);
1.126     brouard  9234:       fputs(line,ficparo);
                   9235:       fputs(line,ficlog);
                   9236:     }
                   9237:     ungetc(c,ficpar);
                   9238: 
                   9239:     for(i=1; i <=nlstate; i++){
                   9240:       for(j=1; j <=nlstate+ndeath-1; j++){
1.220     brouard  9241:                                fscanf(ficpar,"%1d%1d",&i1,&j1);
                   9242:                                if ( (i1-i) * (j1-j) != 0){
                   9243:                                        printf("Error in line parameters number %d, %1d%1d instead of %1d%1d \n",numlinepar, i,j, i1, j1);
                   9244:                                        exit(1);
                   9245:                                }
                   9246:                                printf("%1d%1d",i,j);
                   9247:                                fprintf(ficparo,"%1d%1d",i1,j1);
                   9248:                                fprintf(ficlog,"%1d%1d",i1,j1);
                   9249:                                for(k=1; k<=ncovmodel;k++){
                   9250:                                        fscanf(ficpar,"%le",&delti3[i][j][k]);
                   9251:                                        printf(" %le",delti3[i][j][k]);
                   9252:                                        fprintf(ficparo," %le",delti3[i][j][k]);
                   9253:                                        fprintf(ficlog," %le",delti3[i][j][k]);
                   9254:                                }
                   9255:                                fscanf(ficpar,"\n");
                   9256:                                numlinepar++;
                   9257:                                printf("\n");
                   9258:                                fprintf(ficparo,"\n");
                   9259:                                fprintf(ficlog,"\n");
1.126     brouard  9260:       }
                   9261:     }
                   9262:     fflush(ficlog);
1.220     brouard  9263:                
1.145     brouard  9264:     /* Reads covariance matrix */
1.126     brouard  9265:     delti=delti3[1][1];
1.220     brouard  9266:                
                   9267:                
1.126     brouard  9268:     /* free_ma3x(delti3,1,nlstate,1,nlstate+ndeath-1,1,ncovmodel); */ /* Hasn't to to freed here otherwise delti is no more allocated */
1.220     brouard  9269:                
1.126     brouard  9270:     /* Reads comments: lines beginning with '#' */
                   9271:     while((c=getc(ficpar))=='#' && c!= EOF){
                   9272:       ungetc(c,ficpar);
                   9273:       fgets(line, MAXLINE, ficpar);
                   9274:       numlinepar++;
1.141     brouard  9275:       fputs(line,stdout);
1.126     brouard  9276:       fputs(line,ficparo);
                   9277:       fputs(line,ficlog);
                   9278:     }
                   9279:     ungetc(c,ficpar);
1.220     brouard  9280:                
1.126     brouard  9281:     matcov=matrix(1,npar,1,npar);
1.203     brouard  9282:     hess=matrix(1,npar,1,npar);
1.131     brouard  9283:     for(i=1; i <=npar; i++)
                   9284:       for(j=1; j <=npar; j++) matcov[i][j]=0.;
1.220     brouard  9285:                
1.194     brouard  9286:     /* Scans npar lines */
1.126     brouard  9287:     for(i=1; i <=npar; i++){
1.226     brouard  9288:       count=fscanf(ficpar,"%1d%1d%d",&i1,&j1,&jk);
1.194     brouard  9289:       if(count != 3){
1.226     brouard  9290:        printf("Error! Error in parameter file %s at line %d after line starting with %1d%1d%1d\n\
1.194     brouard  9291: This is probably because your covariance matrix doesn't \n  contain exactly %d lines corresponding to your model line '1+age+%s'.\n\
                   9292: Please run with mle=-1 to get a correct covariance matrix.\n",optionfile,numlinepar, i1,j1,jk, npar, model);
1.226     brouard  9293:        fprintf(ficlog,"Error! Error in parameter file %s at line %d after line starting with %1d%1d%1d\n\
1.194     brouard  9294: This is probably because your covariance matrix doesn't \n  contain exactly %d lines corresponding to your model line '1+age+%s'.\n\
                   9295: Please run with mle=-1 to get a correct covariance matrix.\n",optionfile,numlinepar, i1,j1,jk, npar, model);
1.226     brouard  9296:        exit(1);
1.220     brouard  9297:       }else{
1.226     brouard  9298:        if(mle==1)
                   9299:          printf("%1d%1d%d",i1,j1,jk);
                   9300:       }
                   9301:       fprintf(ficlog,"%1d%1d%d",i1,j1,jk);
                   9302:       fprintf(ficparo,"%1d%1d%d",i1,j1,jk);
1.126     brouard  9303:       for(j=1; j <=i; j++){
1.226     brouard  9304:        fscanf(ficpar," %le",&matcov[i][j]);
                   9305:        if(mle==1){
                   9306:          printf(" %.5le",matcov[i][j]);
                   9307:        }
                   9308:        fprintf(ficlog," %.5le",matcov[i][j]);
                   9309:        fprintf(ficparo," %.5le",matcov[i][j]);
1.126     brouard  9310:       }
                   9311:       fscanf(ficpar,"\n");
                   9312:       numlinepar++;
                   9313:       if(mle==1)
1.220     brouard  9314:                                printf("\n");
1.126     brouard  9315:       fprintf(ficlog,"\n");
                   9316:       fprintf(ficparo,"\n");
                   9317:     }
1.194     brouard  9318:     /* End of read covariance matrix npar lines */
1.126     brouard  9319:     for(i=1; i <=npar; i++)
                   9320:       for(j=i+1;j<=npar;j++)
1.226     brouard  9321:        matcov[i][j]=matcov[j][i];
1.126     brouard  9322:     
                   9323:     if(mle==1)
                   9324:       printf("\n");
                   9325:     fprintf(ficlog,"\n");
                   9326:     
                   9327:     fflush(ficlog);
                   9328:     
                   9329:     /*-------- Rewriting parameter file ----------*/
                   9330:     strcpy(rfileres,"r");    /* "Rparameterfile */
                   9331:     strcat(rfileres,optionfilefiname);    /* Parameter file first name*/
                   9332:     strcat(rfileres,".");    /* */
                   9333:     strcat(rfileres,optionfilext);    /* Other files have txt extension */
                   9334:     if((ficres =fopen(rfileres,"w"))==NULL) {
1.201     brouard  9335:       printf("Problem writing new parameter file: %s\n", rfileres);goto end;
                   9336:       fprintf(ficlog,"Problem writing new parameter file: %s\n", rfileres);goto end;
1.126     brouard  9337:     }
                   9338:     fprintf(ficres,"#%s\n",version);
                   9339:   }    /* End of mle != -3 */
1.218     brouard  9340:   
1.186     brouard  9341:   /*  Main data
                   9342:    */
1.126     brouard  9343:   n= lastobs;
                   9344:   num=lvector(1,n);
                   9345:   moisnais=vector(1,n);
                   9346:   annais=vector(1,n);
                   9347:   moisdc=vector(1,n);
                   9348:   andc=vector(1,n);
1.220     brouard  9349:   weight=vector(1,n);
1.126     brouard  9350:   agedc=vector(1,n);
                   9351:   cod=ivector(1,n);
1.220     brouard  9352:   for(i=1;i<=n;i++){
                   9353:                num[i]=0;
                   9354:                moisnais[i]=0;
                   9355:                annais[i]=0;
                   9356:                moisdc[i]=0;
                   9357:                andc[i]=0;
                   9358:                agedc[i]=0;
                   9359:                cod[i]=0;
                   9360:                weight[i]=1.0; /* Equal weights, 1 by default */
                   9361:        }
1.126     brouard  9362:   mint=matrix(1,maxwav,1,n);
                   9363:   anint=matrix(1,maxwav,1,n);
1.131     brouard  9364:   s=imatrix(1,maxwav+1,1,n); /* s[i][j] health state for wave i and individual j */ 
1.126     brouard  9365:   tab=ivector(1,NCOVMAX);
1.144     brouard  9366:   ncodemax=ivector(1,NCOVMAX); /* Number of code per covariate; if O and 1 only, 2**ncov; V1+V2+V3+V4=>16 */
1.192     brouard  9367:   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  9368: 
1.136     brouard  9369:   /* Reads data from file datafile */
                   9370:   if (readdata(datafile, firstobs, lastobs, &imx)==1)
                   9371:     goto end;
                   9372: 
                   9373:   /* Calculation of the number of parameters from char model */
1.137     brouard  9374:     /*    modelsav=V2+V1+V4+age*V3 strb=age*V3 stra=V2+V1+V4 
                   9375:        k=4 (age*V3) Tvar[k=4]= 3 (from V3) Tag[cptcovage=1]=4
                   9376:        k=3 V4 Tvar[k=3]= 4 (from V4)
                   9377:        k=2 V1 Tvar[k=2]= 1 (from V1)
                   9378:        k=1 Tvar[1]=2 (from V2)
                   9379:     */
                   9380:   Tvar=ivector(1,NCOVMAX); /* Was 15 changed to NCOVMAX. */
1.226     brouard  9381:   Typevar=ivector(-1,NCOVMAX); /* -1 to 2 */
                   9382:   Fixed=ivector(-1,NCOVMAX); /* -1 to 3 */
                   9383:   Dummy=ivector(-1,NCOVMAX); /* -1 to 3 */
1.137     brouard  9384:   /*  V2+V1+V4+age*V3 is a model with 4 covariates (3 plus signs). 
                   9385:       For each model-covariate stores the data-covariate id. Tvar[1]=2, Tvar[2]=1, Tvar[3]=4, 
                   9386:       Tvar[4=age*V3] is 3 and 'age' is recorded in Tage.
                   9387:   */
                   9388:   /* For model-covariate k tells which data-covariate to use but
                   9389:     because this model-covariate is a construction we invent a new column
                   9390:     ncovcol + k1
                   9391:     If already ncovcol=4 and model=V2+V1+V1*V4+age*V3
                   9392:     Tvar[3=V1*V4]=4+1 etc */
1.227     brouard  9393:   Tprod=ivector(1,NCOVMAX); /* Gives the k position of the k1 product */
                   9394:   Tposprod=ivector(1,NCOVMAX); /* Gives the k1 product from the k position */
1.137     brouard  9395:   /* Tprod[k1=1]=3(=V1*V4) for V2+V1+V1*V4+age*V3
                   9396:      if  V2+V1+V1*V4+age*V3+V3*V2   TProd[k1=2]=5 (V3*V2)
1.227     brouard  9397:      Tposprod[k]=k1 , Tposprod[3]=1, Tposprod[5]=2 
1.137     brouard  9398:   */
1.145     brouard  9399:   Tvaraff=ivector(1,NCOVMAX); /* Unclear */
                   9400:   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  9401:                            * For V3*V2 (in V2+V1+V1*V4+age*V3+V3*V2), V3*V2 position is 2nd. 
                   9402:                            * Tvard[k1=2][1]=3 (V3) Tvard[k1=2][2]=2(V2) */
1.145     brouard  9403:   Tage=ivector(1,NCOVMAX); /* Gives the covariate id of covariates associated with age: V2 + V1 + age*V4 + V3*age
1.137     brouard  9404:                         4 covariates (3 plus signs)
                   9405:                         Tage[1=V3*age]= 4; Tage[2=age*V4] = 3
                   9406:                      */  
1.227     brouard  9407:   Tmodelind=ivector(1,NCOVMAX);/** five the k model position of an
                   9408:                                * individual dummy, fixed or varying:
                   9409:                                * Tmodelind[Tvaraff[3]]=9,Tvaraff[1]@9={4,
                   9410:                                * 3, 1, 0, 0, 0, 0, 0, 0},
                   9411:                                * model=V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1*/
1.228     brouard  9412:  TmodelInvind=ivector(1,NCOVMAX);
                   9413:   TmodelInvQind=ivector(1,NCOVMAX);/** five the k model position of an
                   9414:                                * individual quantitative, fixed or varying:
                   9415:                                * Tmodelqind[1]=1,Tvaraff[1]@9={4,
                   9416:                                * 3, 1, 0, 0, 0, 0, 0, 0},
                   9417:                                * model=V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1*/
1.186     brouard  9418: /* Main decodemodel */
                   9419: 
1.187     brouard  9420: 
1.223     brouard  9421:   if(decodemodel(model, lastobs) == 1) /* In order to get Tvar[k] V4+V3+V5 p Tvar[1]@3  = {4, 3, 5}*/
1.136     brouard  9422:     goto end;
                   9423: 
1.137     brouard  9424:   if((double)(lastobs-imx)/(double)imx > 1.10){
                   9425:     nbwarn++;
                   9426:     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); 
                   9427:     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); 
                   9428:   }
1.136     brouard  9429:     /*  if(mle==1){*/
1.137     brouard  9430:   if (weightopt != 1) { /* Maximisation without weights. We can have weights different from 1 but want no weight*/
                   9431:     for(i=1;i<=imx;i++) weight[i]=1.0; /* changed to imx */
1.136     brouard  9432:   }
                   9433: 
                   9434:     /*-calculation of age at interview from date of interview and age at death -*/
                   9435:   agev=matrix(1,maxwav,1,imx);
                   9436: 
                   9437:   if(calandcheckages(imx, maxwav, &agemin, &agemax, &nberr, &nbwarn) == 1)
                   9438:     goto end;
                   9439: 
1.126     brouard  9440: 
1.136     brouard  9441:   agegomp=(int)agemin;
                   9442:   free_vector(moisnais,1,n);
                   9443:   free_vector(annais,1,n);
1.126     brouard  9444:   /* free_matrix(mint,1,maxwav,1,n);
                   9445:      free_matrix(anint,1,maxwav,1,n);*/
1.215     brouard  9446:   /* free_vector(moisdc,1,n); */
                   9447:   /* free_vector(andc,1,n); */
1.145     brouard  9448:   /* */
                   9449:   
1.126     brouard  9450:   wav=ivector(1,imx);
1.214     brouard  9451:   /* dh=imatrix(1,lastpass-firstpass+1,1,imx); */
                   9452:   /* bh=imatrix(1,lastpass-firstpass+1,1,imx); */
                   9453:   /* mw=imatrix(1,lastpass-firstpass+1,1,imx); */
                   9454:   dh=imatrix(1,lastpass-firstpass+2,1,imx); /* We are adding a wave if status is unknown at last wave but death occurs after last wave.*/
                   9455:   bh=imatrix(1,lastpass-firstpass+2,1,imx);
                   9456:   mw=imatrix(1,lastpass-firstpass+2,1,imx);
1.126     brouard  9457:    
                   9458:   /* Concatenates waves */
1.214     brouard  9459:   /* Concatenates waves: wav[i] is the number of effective (useful waves) of individual i.
                   9460:      Death is a valid wave (if date is known).
                   9461:      mw[mi][i] is the number of (mi=1 to wav[i]) effective wave out of mi of individual i
                   9462:      dh[m][i] or dh[mw[mi][i]][i] is the delay between two effective waves m=mw[mi][i]
                   9463:      and mw[mi+1][i]. dh depends on stepm.
                   9464:   */
                   9465: 
1.126     brouard  9466:   concatwav(wav, dh, bh, mw, s, agedc, agev,  firstpass, lastpass, imx, nlstate, stepm);
1.145     brouard  9467:   /* */
                   9468:  
1.215     brouard  9469:   free_vector(moisdc,1,n);
                   9470:   free_vector(andc,1,n);
                   9471: 
1.126     brouard  9472:   /* Routine tricode is to calculate cptcoveff (real number of unique covariates) and to associate covariable number and modality */
                   9473:   nbcode=imatrix(0,NCOVMAX,0,NCOVMAX); 
                   9474:   ncodemax[1]=1;
1.145     brouard  9475:   Ndum =ivector(-1,NCOVMAX);  
1.225     brouard  9476:   cptcoveff=0;
1.220     brouard  9477:   if (ncovmodel-nagesqr > 2 ){ /* That is if covariate other than cst, age and age*age */
                   9478:     tricode(&cptcoveff,Tvar,nbcode,imx, Ndum); /**< Fills nbcode[Tvar[j]][l]; */
1.227     brouard  9479:   }
                   9480:   
                   9481:   ncovcombmax=pow(2,cptcoveff);
                   9482:   invalidvarcomb=ivector(1, ncovcombmax); 
                   9483:   for(i=1;i<ncovcombmax;i++)
                   9484:     invalidvarcomb[i]=0;
                   9485:   
1.211     brouard  9486:   /* Nbcode gives the value of the lth modality (currently 1 to 2) of jth covariate, in
1.186     brouard  9487:      V2+V1*age, there are 3 covariates Tvar[2]=1 (V1).*/
1.211     brouard  9488:   /* 1 to ncodemax[j] which is the maximum value of this jth covariate */
1.227     brouard  9489:   
1.200     brouard  9490:   /*  codtab=imatrix(1,100,1,10);*/ /* codtab[h,k]=( (h-1) - mod(k-1,2**(k-1) )/2**(k-1) */
1.198     brouard  9491:   /*printf(" codtab[1,1],codtab[100,10]=%d,%d\n", codtab[1][1],codtabm(100,10));*/
1.186     brouard  9492:   /* codtab gives the value 1 or 2 of the hth combination of k covariates (1 or 2).*/
1.211     brouard  9493:   /* nbcode[Tvaraff[j]][codtabm(h,j)]) : if there are only 2 modalities for a covariate j, 
                   9494:    * codtabm(h,j) gives its value classified at position h and nbcode gives how it is coded 
                   9495:    * (currently 0 or 1) in the data.
                   9496:    * In a loop on h=1 to 2**k, and a loop on j (=1 to k), we get the value of 
                   9497:    * corresponding modality (h,j).
                   9498:    */
                   9499: 
1.145     brouard  9500:   h=0;
                   9501:   /*if (cptcovn > 0) */
1.126     brouard  9502:   m=pow(2,cptcoveff);
                   9503:  
1.144     brouard  9504:          /**< codtab(h,k)  k   = codtab[h,k]=( (h-1) - mod(k-1,2**(k-1) )/2**(k-1) + 1
1.211     brouard  9505:           * For k=4 covariates, h goes from 1 to m=2**k
                   9506:           * codtabm(h,k)=  (1 & (h-1) >> (k-1)) + 1;
                   9507:            * #define codtabm(h,k)  (1 & (h-1) >> (k-1))+1
1.186     brouard  9508:           *     h\k   1     2     3     4
1.143     brouard  9509:           *______________________________  
                   9510:           *     1 i=1 1 i=1 1 i=1 1 i=1 1
                   9511:           *     2     2     1     1     1
                   9512:           *     3 i=2 1     2     1     1
                   9513:           *     4     2     2     1     1
                   9514:           *     5 i=3 1 i=2 1     2     1
                   9515:           *     6     2     1     2     1
                   9516:           *     7 i=4 1     2     2     1
                   9517:           *     8     2     2     2     1
1.197     brouard  9518:           *     9 i=5 1 i=3 1 i=2 1     2
                   9519:           *    10     2     1     1     2
                   9520:           *    11 i=6 1     2     1     2
                   9521:           *    12     2     2     1     2
                   9522:           *    13 i=7 1 i=4 1     2     2    
                   9523:           *    14     2     1     2     2
                   9524:           *    15 i=8 1     2     2     2
                   9525:           *    16     2     2     2     2
1.143     brouard  9526:           */
1.212     brouard  9527:   /* How to do the opposite? From combination h (=1 to 2**k) how to get the value on the covariates? */
1.211     brouard  9528:      /* from h=5 and m, we get then number of covariates k=log(m)/log(2)=4
                   9529:      * and the value of each covariate?
                   9530:      * V1=1, V2=1, V3=2, V4=1 ?
                   9531:      * h-1=4 and 4 is 0100 or reverse 0010, and +1 is 1121 ok.
                   9532:      * h=6, 6-1=5, 5 is 0101, 1010, 2121, V1=2nd, V2=1st, V3=2nd, V4=1st.
                   9533:      * In order to get the real value in the data, we use nbcode
                   9534:      * nbcode[Tvar[3][2nd]]=1 and nbcode[Tvar[4][1]]=0
                   9535:      * We are keeping this crazy system in order to be able (in the future?) 
                   9536:      * to have more than 2 values (0 or 1) for a covariate.
                   9537:      * #define codtabm(h,k)  (1 & (h-1) >> (k-1))+1
                   9538:      * h=6, k=2? h-1=5=0101, reverse 1010, +1=2121, k=2nd position: value is 1: codtabm(6,2)=1
                   9539:      *              bbbbbbbb
                   9540:      *              76543210     
                   9541:      *   h-1        00000101 (6-1=5)
1.219     brouard  9542:      *(h-1)>>(k-1)= 00000010 >> (2-1) = 1 right shift
1.211     brouard  9543:      *           &
                   9544:      *     1        00000001 (1)
1.219     brouard  9545:      *              00000000        = 1 & ((h-1) >> (k-1))
                   9546:      *          +1= 00000001 =1 
1.211     brouard  9547:      *
                   9548:      * h=14, k=3 => h'=h-1=13, k'=k-1=2
                   9549:      *          h'      1101 =2^3+2^2+0x2^1+2^0
                   9550:      *    >>k'            11
                   9551:      *          &   00000001
                   9552:      *            = 00000001
                   9553:      *      +1    = 00000010=2    =  codtabm(14,3)   
                   9554:      * Reverse h=6 and m=16?
                   9555:      * cptcoveff=log(16)/log(2)=4 covariate: 6-1=5=0101 reversed=1010 +1=2121 =>V1=2, V2=1, V3=2, V4=1.
                   9556:      * for (j=1 to cptcoveff) Vj=decodtabm(j,h,cptcoveff)
                   9557:      * decodtabm(h,j,cptcoveff)= (((h-1) >> (j-1)) & 1) +1 
                   9558:      * decodtabm(h,j,cptcoveff)= (h <= (1<<cptcoveff)?(((h-1) >> (j-1)) & 1) +1 : -1)
                   9559:      * V3=decodtabm(14,3,2**4)=2
                   9560:      *          h'=13   1101 =2^3+2^2+0x2^1+2^0
                   9561:      *(h-1) >> (j-1)    0011 =13 >> 2
                   9562:      *          &1 000000001
                   9563:      *           = 000000001
                   9564:      *         +1= 000000010 =2
                   9565:      *                  2211
                   9566:      *                  V1=1+1, V2=0+1, V3=1+1, V4=1+1
                   9567:      *                  V3=2
1.220     brouard  9568:                 * codtabm and decodtabm are identical
1.211     brouard  9569:      */
                   9570: 
1.145     brouard  9571: 
                   9572:  free_ivector(Ndum,-1,NCOVMAX);
                   9573: 
                   9574: 
1.126     brouard  9575:     
1.186     brouard  9576:   /* Initialisation of ----------- gnuplot -------------*/
1.126     brouard  9577:   strcpy(optionfilegnuplot,optionfilefiname);
                   9578:   if(mle==-3)
1.201     brouard  9579:     strcat(optionfilegnuplot,"-MORT_");
1.126     brouard  9580:   strcat(optionfilegnuplot,".gp");
                   9581: 
                   9582:   if((ficgp=fopen(optionfilegnuplot,"w"))==NULL) {
                   9583:     printf("Problem with file %s",optionfilegnuplot);
                   9584:   }
                   9585:   else{
1.204     brouard  9586:     fprintf(ficgp,"\n# IMaCh-%s\n", version); 
1.126     brouard  9587:     fprintf(ficgp,"# %s\n", optionfilegnuplot); 
1.141     brouard  9588:     //fprintf(ficgp,"set missing 'NaNq'\n");
                   9589:     fprintf(ficgp,"set datafile missing 'NaNq'\n");
1.126     brouard  9590:   }
                   9591:   /*  fclose(ficgp);*/
1.186     brouard  9592: 
                   9593: 
                   9594:   /* Initialisation of --------- index.htm --------*/
1.126     brouard  9595: 
                   9596:   strcpy(optionfilehtm,optionfilefiname); /* Main html file */
                   9597:   if(mle==-3)
1.201     brouard  9598:     strcat(optionfilehtm,"-MORT_");
1.126     brouard  9599:   strcat(optionfilehtm,".htm");
                   9600:   if((fichtm=fopen(optionfilehtm,"w"))==NULL)    {
1.131     brouard  9601:     printf("Problem with %s \n",optionfilehtm);
                   9602:     exit(0);
1.126     brouard  9603:   }
                   9604: 
                   9605:   strcpy(optionfilehtmcov,optionfilefiname); /* Only for matrix of covariance */
                   9606:   strcat(optionfilehtmcov,"-cov.htm");
                   9607:   if((fichtmcov=fopen(optionfilehtmcov,"w"))==NULL)    {
                   9608:     printf("Problem with %s \n",optionfilehtmcov), exit(0);
                   9609:   }
                   9610:   else{
                   9611:   fprintf(fichtmcov,"<html><head>\n<title>IMaCh Cov %s</title></head>\n <body><font size=\"2\">%s <br> %s</font> \
                   9612: <hr size=\"2\" color=\"#EC5E5E\"> \n\
1.204     brouard  9613: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s<br>\n",\
1.126     brouard  9614:          optionfilehtmcov,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);
                   9615:   }
                   9616: 
1.213     brouard  9617:   fprintf(fichtm,"<html><head>\n<head>\n<meta charset=\"utf-8\"/><meta http-equiv=\"Content-Type\" content=\"text/html; charset=utf-8\" />\n<title>IMaCh %s</title></head>\n <body><font size=\"7\"><a href=http:/euroreves.ined.fr/imach>IMaCh for Interpolated Markov Chain</a> </font><br>\n<font size=\"3\">Sponsored by Copyright (C)  2002-2015 <a href=http://www.ined.fr>INED</a>-EUROREVES-Institut de longévité-2013-2016-Japan Society for the Promotion of Sciences 日本学術振興会 (<a href=https://www.jsps.go.jp/english/e-grants/>Grant-in-Aid for Scientific Research 25293121</a>) - <a href=https://software.intel.com/en-us>Intel Software 2015-2018</a></font><br>  \
1.204     brouard  9618: <hr size=\"2\" color=\"#EC5E5E\"> \n\
                   9619: <font size=\"2\">IMaCh-%s <br> %s</font> \
1.126     brouard  9620: <hr size=\"2\" color=\"#EC5E5E\"> \n\
1.204     brouard  9621: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s<br>\n\
1.126     brouard  9622: \n\
                   9623: <hr  size=\"2\" color=\"#EC5E5E\">\
                   9624:  <ul><li><h4>Parameter files</h4>\n\
                   9625:  - Parameter file: <a href=\"%s.%s\">%s.%s</a><br>\n\
                   9626:  - Copy of the parameter file: <a href=\"o%s\">o%s</a><br>\n\
                   9627:  - Log file of the run: <a href=\"%s\">%s</a><br>\n\
                   9628:  - Gnuplot file name: <a href=\"%s\">%s</a><br>\n\
                   9629:  - Date and time at start: %s</ul>\n",\
                   9630:          optionfilehtm,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model,\
                   9631:          optionfilefiname,optionfilext,optionfilefiname,optionfilext,\
                   9632:          fileres,fileres,\
                   9633:          filelog,filelog,optionfilegnuplot,optionfilegnuplot,strstart);
                   9634:   fflush(fichtm);
                   9635: 
                   9636:   strcpy(pathr,path);
                   9637:   strcat(pathr,optionfilefiname);
1.184     brouard  9638: #ifdef WIN32
                   9639:   _chdir(optionfilefiname); /* Move to directory named optionfile */
                   9640: #else
1.126     brouard  9641:   chdir(optionfilefiname); /* Move to directory named optionfile */
1.184     brouard  9642: #endif
                   9643:          
1.126     brouard  9644:   
1.220     brouard  9645:   /* Calculates basic frequencies. Computes observed prevalence at single age 
                   9646:                 and for any valid combination of covariates
1.126     brouard  9647:      and prints on file fileres'p'. */
1.227     brouard  9648:   freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx, Tvaraff, invalidvarcomb, nbcode, ncodemax,mint,anint,strstart, \
                   9649:              firstpass, lastpass,  stepm,  weightopt, model);
1.126     brouard  9650: 
                   9651:   fprintf(fichtm,"\n");
                   9652:   fprintf(fichtm,"<br>Total number of observations=%d <br>\n\
                   9653: Youngest age at first (selected) pass %.2f, oldest age %.2f<br>\n\
                   9654: Interval (in months) between two waves: Min=%d Max=%d Mean=%.2lf<br>\n",\
                   9655:          imx,agemin,agemax,jmin,jmax,jmean);
                   9656:   pmmij= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
1.220     brouard  9657:        oldms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
                   9658:        newms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
                   9659:        savms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
                   9660:        oldm=oldms; newm=newms; savm=savms; /* Keeps fixed addresses to free */
1.218     brouard  9661: 
1.126     brouard  9662:   /* For Powell, parameters are in a vector p[] starting at p[1]
                   9663:      so we point p on param[1][1] so that p[1] maps on param[1][1][1] */
                   9664:   p=param[1][1]; /* *(*(*(param +1)+1)+0) */
                   9665: 
                   9666:   globpr=0; /* To get the number ipmx of contributions and the sum of weights*/
1.186     brouard  9667:   /* For mortality only */
1.126     brouard  9668:   if (mle==-3){
1.136     brouard  9669:     ximort=matrix(1,NDIM,1,NDIM); 
1.220     brouard  9670:                for(i=1;i<=NDIM;i++)
                   9671:                        for(j=1;j<=NDIM;j++)
                   9672:                                ximort[i][j]=0.;
1.186     brouard  9673:     /*     ximort=gsl_matrix_alloc(1,NDIM,1,NDIM); */
1.126     brouard  9674:     cens=ivector(1,n);
                   9675:     ageexmed=vector(1,n);
                   9676:     agecens=vector(1,n);
                   9677:     dcwave=ivector(1,n);
1.223     brouard  9678:                
1.126     brouard  9679:     for (i=1; i<=imx; i++){
                   9680:       dcwave[i]=-1;
                   9681:       for (m=firstpass; m<=lastpass; m++)
1.226     brouard  9682:        if (s[m][i]>nlstate) {
                   9683:          dcwave[i]=m;
                   9684:          /*    printf("i=%d j=%d s=%d dcwave=%d\n",i,j, s[j][i],dcwave[i]);*/
                   9685:          break;
                   9686:        }
1.126     brouard  9687:     }
1.226     brouard  9688:     
1.126     brouard  9689:     for (i=1; i<=imx; i++) {
                   9690:       if (wav[i]>0){
1.226     brouard  9691:        ageexmed[i]=agev[mw[1][i]][i];
                   9692:        j=wav[i];
                   9693:        agecens[i]=1.; 
                   9694:        
                   9695:        if (ageexmed[i]> 1 && wav[i] > 0){
                   9696:          agecens[i]=agev[mw[j][i]][i];
                   9697:          cens[i]= 1;
                   9698:        }else if (ageexmed[i]< 1) 
                   9699:          cens[i]= -1;
                   9700:        if (agedc[i]< AGESUP && agedc[i]>1 && dcwave[i]>firstpass && dcwave[i]<=lastpass)
                   9701:          cens[i]=0 ;
1.126     brouard  9702:       }
                   9703:       else cens[i]=-1;
                   9704:     }
                   9705:     
                   9706:     for (i=1;i<=NDIM;i++) {
                   9707:       for (j=1;j<=NDIM;j++)
1.226     brouard  9708:        ximort[i][j]=(i == j ? 1.0 : 0.0);
1.126     brouard  9709:     }
                   9710:     
1.145     brouard  9711:     /*p[1]=0.0268; p[NDIM]=0.083;*/
1.126     brouard  9712:     /*printf("%lf %lf", p[1], p[2]);*/
                   9713:     
                   9714:     
1.136     brouard  9715: #ifdef GSL
                   9716:     printf("GSL optimization\n");  fprintf(ficlog,"Powell\n");
1.162     brouard  9717: #else
1.126     brouard  9718:     printf("Powell\n");  fprintf(ficlog,"Powell\n");
1.136     brouard  9719: #endif
1.201     brouard  9720:     strcpy(filerespow,"POW-MORT_"); 
                   9721:     strcat(filerespow,fileresu);
1.126     brouard  9722:     if((ficrespow=fopen(filerespow,"w"))==NULL) {
                   9723:       printf("Problem with resultfile: %s\n", filerespow);
                   9724:       fprintf(ficlog,"Problem with resultfile: %s\n", filerespow);
                   9725:     }
1.136     brouard  9726: #ifdef GSL
                   9727:     fprintf(ficrespow,"# GSL optimization\n# iter -2*LL");
1.162     brouard  9728: #else
1.126     brouard  9729:     fprintf(ficrespow,"# Powell\n# iter -2*LL");
1.136     brouard  9730: #endif
1.126     brouard  9731:     /*  for (i=1;i<=nlstate;i++)
                   9732:        for(j=1;j<=nlstate+ndeath;j++)
                   9733:        if(j!=i)fprintf(ficrespow," p%1d%1d",i,j);
                   9734:     */
                   9735:     fprintf(ficrespow,"\n");
1.136     brouard  9736: #ifdef GSL
                   9737:     /* gsl starts here */ 
                   9738:     T = gsl_multimin_fminimizer_nmsimplex;
                   9739:     gsl_multimin_fminimizer *sfm = NULL;
                   9740:     gsl_vector *ss, *x;
                   9741:     gsl_multimin_function minex_func;
                   9742: 
                   9743:     /* Initial vertex size vector */
                   9744:     ss = gsl_vector_alloc (NDIM);
                   9745:     
                   9746:     if (ss == NULL){
                   9747:       GSL_ERROR_VAL ("failed to allocate space for ss", GSL_ENOMEM, 0);
                   9748:     }
                   9749:     /* Set all step sizes to 1 */
                   9750:     gsl_vector_set_all (ss, 0.001);
                   9751: 
                   9752:     /* Starting point */
1.126     brouard  9753:     
1.136     brouard  9754:     x = gsl_vector_alloc (NDIM);
                   9755:     
                   9756:     if (x == NULL){
                   9757:       gsl_vector_free(ss);
                   9758:       GSL_ERROR_VAL ("failed to allocate space for x", GSL_ENOMEM, 0);
                   9759:     }
                   9760:   
                   9761:     /* Initialize method and iterate */
                   9762:     /*     p[1]=0.0268; p[NDIM]=0.083; */
1.186     brouard  9763:     /*     gsl_vector_set(x, 0, 0.0268); */
                   9764:     /*     gsl_vector_set(x, 1, 0.083); */
1.136     brouard  9765:     gsl_vector_set(x, 0, p[1]);
                   9766:     gsl_vector_set(x, 1, p[2]);
                   9767: 
                   9768:     minex_func.f = &gompertz_f;
                   9769:     minex_func.n = NDIM;
                   9770:     minex_func.params = (void *)&p; /* ??? */
                   9771:     
                   9772:     sfm = gsl_multimin_fminimizer_alloc (T, NDIM);
                   9773:     gsl_multimin_fminimizer_set (sfm, &minex_func, x, ss);
                   9774:     
                   9775:     printf("Iterations beginning .....\n\n");
                   9776:     printf("Iter. #    Intercept       Slope     -Log Likelihood     Simplex size\n");
                   9777: 
                   9778:     iteri=0;
                   9779:     while (rval == GSL_CONTINUE){
                   9780:       iteri++;
                   9781:       status = gsl_multimin_fminimizer_iterate(sfm);
                   9782:       
                   9783:       if (status) printf("error: %s\n", gsl_strerror (status));
                   9784:       fflush(0);
                   9785:       
                   9786:       if (status) 
                   9787:         break;
                   9788:       
                   9789:       rval = gsl_multimin_test_size (gsl_multimin_fminimizer_size (sfm), 1e-6);
                   9790:       ssval = gsl_multimin_fminimizer_size (sfm);
                   9791:       
                   9792:       if (rval == GSL_SUCCESS)
                   9793:         printf ("converged to a local maximum at\n");
                   9794:       
                   9795:       printf("%5d ", iteri);
                   9796:       for (it = 0; it < NDIM; it++){
                   9797:        printf ("%10.5f ", gsl_vector_get (sfm->x, it));
                   9798:       }
                   9799:       printf("f() = %-10.5f ssize = %.7f\n", sfm->fval, ssval);
                   9800:     }
                   9801:     
                   9802:     printf("\n\n Please note: Program should be run many times with varying starting points to detemine global maximum\n\n");
                   9803:     
                   9804:     gsl_vector_free(x); /* initial values */
                   9805:     gsl_vector_free(ss); /* inital step size */
                   9806:     for (it=0; it<NDIM; it++){
                   9807:       p[it+1]=gsl_vector_get(sfm->x,it);
                   9808:       fprintf(ficrespow," %.12lf", p[it]);
                   9809:     }
                   9810:     gsl_multimin_fminimizer_free (sfm); /* p *(sfm.x.data) et p *(sfm.x.data+1)  */
                   9811: #endif
                   9812: #ifdef POWELL
                   9813:      powell(p,ximort,NDIM,ftol,&iter,&fret,gompertz);
                   9814: #endif  
1.126     brouard  9815:     fclose(ficrespow);
                   9816:     
1.203     brouard  9817:     hesscov(matcov, hess, p, NDIM, delti, 1e-4, gompertz); 
1.126     brouard  9818: 
                   9819:     for(i=1; i <=NDIM; i++)
                   9820:       for(j=i+1;j<=NDIM;j++)
1.220     brouard  9821:                                matcov[i][j]=matcov[j][i];
1.126     brouard  9822:     
                   9823:     printf("\nCovariance matrix\n ");
1.203     brouard  9824:     fprintf(ficlog,"\nCovariance matrix\n ");
1.126     brouard  9825:     for(i=1; i <=NDIM; i++) {
                   9826:       for(j=1;j<=NDIM;j++){ 
1.220     brouard  9827:                                printf("%f ",matcov[i][j]);
                   9828:                                fprintf(ficlog,"%f ",matcov[i][j]);
1.126     brouard  9829:       }
1.203     brouard  9830:       printf("\n ");  fprintf(ficlog,"\n ");
1.126     brouard  9831:     }
                   9832:     
                   9833:     printf("iter=%d MLE=%f Eq=%lf*exp(%lf*(age-%d))\n",iter,-gompertz(p),p[1],p[2],agegomp);
1.193     brouard  9834:     for (i=1;i<=NDIM;i++) {
1.126     brouard  9835:       printf("%f [%f ; %f]\n",p[i],p[i]-2*sqrt(matcov[i][i]),p[i]+2*sqrt(matcov[i][i]));
1.193     brouard  9836:       fprintf(ficlog,"%f [%f ; %f]\n",p[i],p[i]-2*sqrt(matcov[i][i]),p[i]+2*sqrt(matcov[i][i]));
                   9837:     }
1.126     brouard  9838:     lsurv=vector(1,AGESUP);
                   9839:     lpop=vector(1,AGESUP);
                   9840:     tpop=vector(1,AGESUP);
                   9841:     lsurv[agegomp]=100000;
                   9842:     
                   9843:     for (k=agegomp;k<=AGESUP;k++) {
                   9844:       agemortsup=k;
                   9845:       if (p[1]*exp(p[2]*(k-agegomp))>1) break;
                   9846:     }
                   9847:     
                   9848:     for (k=agegomp;k<agemortsup;k++)
                   9849:       lsurv[k+1]=lsurv[k]-lsurv[k]*(p[1]*exp(p[2]*(k-agegomp)));
                   9850:     
                   9851:     for (k=agegomp;k<agemortsup;k++){
                   9852:       lpop[k]=(lsurv[k]+lsurv[k+1])/2.;
                   9853:       sumlpop=sumlpop+lpop[k];
                   9854:     }
                   9855:     
                   9856:     tpop[agegomp]=sumlpop;
                   9857:     for (k=agegomp;k<(agemortsup-3);k++){
                   9858:       /*  tpop[k+1]=2;*/
                   9859:       tpop[k+1]=tpop[k]-lpop[k];
                   9860:     }
                   9861:     
                   9862:     
                   9863:     printf("\nAge   lx     qx    dx    Lx     Tx     e(x)\n");
                   9864:     for (k=agegomp;k<(agemortsup-2);k++) 
                   9865:       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]);
                   9866:     
                   9867:     
                   9868:     replace_back_to_slash(pathc,pathcd); /* Even gnuplot wants a / */
1.220     brouard  9869:                ageminpar=50;
                   9870:                agemaxpar=100;
1.194     brouard  9871:     if(ageminpar == AGEOVERFLOW ||agemaxpar == AGEOVERFLOW){
                   9872:        printf("Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
                   9873: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   9874: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
                   9875:        fprintf(ficlog,"Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
                   9876: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   9877: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
1.220     brouard  9878:     }else{
                   9879:                        printf("Warning! ageminpar %f and agemaxpar %f have been fixed because for simplification until it is fixed...\n\n",ageminpar,agemaxpar);
                   9880:                        fprintf(ficlog,"Warning! ageminpar %f and agemaxpar %f have been fixed because for simplification until it is fixed...\n\n",ageminpar,agemaxpar);
1.201     brouard  9881:       printinggnuplotmort(fileresu, optionfilefiname,ageminpar,agemaxpar,fage, pathc,p);
1.220     brouard  9882:                }
1.201     brouard  9883:     printinghtmlmort(fileresu,title,datafile, firstpass, lastpass, \
1.126     brouard  9884:                     stepm, weightopt,\
                   9885:                     model,imx,p,matcov,agemortsup);
                   9886:     
                   9887:     free_vector(lsurv,1,AGESUP);
                   9888:     free_vector(lpop,1,AGESUP);
                   9889:     free_vector(tpop,1,AGESUP);
1.220     brouard  9890:     free_matrix(ximort,1,NDIM,1,NDIM);
1.136     brouard  9891:     free_ivector(cens,1,n);
                   9892:     free_vector(agecens,1,n);
                   9893:     free_ivector(dcwave,1,n);
1.220     brouard  9894: #ifdef GSL
1.136     brouard  9895: #endif
1.186     brouard  9896:   } /* Endof if mle==-3 mortality only */
1.205     brouard  9897:   /* Standard  */
                   9898:   else{ /* For mle !=- 3, could be 0 or 1 or 4 etc. */
                   9899:     globpr=0;/* Computes sum of likelihood for globpr=1 and funcone */
                   9900:     /* Computes likelihood for initial parameters, uses funcone to compute gpimx and gsw */
1.132     brouard  9901:     likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
1.126     brouard  9902:     printf("First Likeli=%12.6f ipmx=%ld sw=%12.6f",fretone,ipmx,sw);
                   9903:     for (k=1; k<=npar;k++)
                   9904:       printf(" %d %8.5f",k,p[k]);
                   9905:     printf("\n");
1.205     brouard  9906:     if(mle>=1){ /* Could be 1 or 2, Real Maximization */
                   9907:       /* mlikeli uses func not funcone */
                   9908:       mlikeli(ficres,p, npar, ncovmodel, nlstate, ftol, func);
                   9909:     }
                   9910:     if(mle==0) {/* No optimization, will print the likelihoods for the datafile */
                   9911:       globpr=0;/* Computes sum of likelihood for globpr=1 and funcone */
                   9912:       /* Computes likelihood for initial parameters, uses funcone to compute gpimx and gsw */
                   9913:       likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
                   9914:     }
                   9915:     globpr=1; /* again, to print the individual contributions using computed gpimx and gsw */
1.126     brouard  9916:     likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
                   9917:     printf("Second Likeli=%12.6f ipmx=%ld sw=%12.6f",fretone,ipmx,sw);
                   9918:     for (k=1; k<=npar;k++)
                   9919:       printf(" %d %8.5f",k,p[k]);
                   9920:     printf("\n");
                   9921:     
                   9922:     /*--------- results files --------------*/
1.224     brouard  9923:     fprintf(ficres,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncovcol=%d nqv=%d ntv=%d nqtv=%d nlstate=%d ndeath=%d maxwav=%d mle= 0 weight=%d\nmodel=1+age+%s.\n", title, datafile, lastobs, firstpass,lastpass,ftol, stepm, ncovcol, nqv, ntv, nqtv, nlstate, ndeath, maxwav, weightopt,model);
1.126     brouard  9924:     
                   9925:     
                   9926:     fprintf(ficres,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   9927:     printf("# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   9928:     fprintf(ficlog,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   9929:     for(i=1,jk=1; i <=nlstate; i++){
                   9930:       for(k=1; k <=(nlstate+ndeath); k++){
1.225     brouard  9931:        if (k != i) {
                   9932:          printf("%d%d ",i,k);
                   9933:          fprintf(ficlog,"%d%d ",i,k);
                   9934:          fprintf(ficres,"%1d%1d ",i,k);
                   9935:          for(j=1; j <=ncovmodel; j++){
                   9936:            printf("%12.7f ",p[jk]);
                   9937:            fprintf(ficlog,"%12.7f ",p[jk]);
                   9938:            fprintf(ficres,"%12.7f ",p[jk]);
                   9939:            jk++; 
                   9940:          }
                   9941:          printf("\n");
                   9942:          fprintf(ficlog,"\n");
                   9943:          fprintf(ficres,"\n");
                   9944:        }
1.126     brouard  9945:       }
                   9946:     }
1.203     brouard  9947:     if(mle != 0){
                   9948:       /* Computing hessian and covariance matrix only at a peak of the Likelihood, that is after optimization */
1.126     brouard  9949:       ftolhess=ftol; /* Usually correct */
1.203     brouard  9950:       hesscov(matcov, hess, p, npar, delti, ftolhess, func);
                   9951:       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");
                   9952:       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");
                   9953:       for(i=1,jk=1; i <=nlstate; i++){
1.225     brouard  9954:        for(k=1; k <=(nlstate+ndeath); k++){
                   9955:          if (k != i) {
                   9956:            printf("%d%d ",i,k);
                   9957:            fprintf(ficlog,"%d%d ",i,k);
                   9958:            for(j=1; j <=ncovmodel; j++){
                   9959:              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]));
                   9960:              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]));
                   9961:              jk++; 
                   9962:            }
                   9963:            printf("\n");
                   9964:            fprintf(ficlog,"\n");
                   9965:          }
                   9966:        }
1.193     brouard  9967:       }
1.203     brouard  9968:     } /* end of hesscov and Wald tests */
1.225     brouard  9969:     
1.203     brouard  9970:     /*  */
1.126     brouard  9971:     fprintf(ficres,"# Scales (for hessian or gradient estimation)\n");
                   9972:     printf("# Scales (for hessian or gradient estimation)\n");
                   9973:     fprintf(ficlog,"# Scales (for hessian or gradient estimation)\n");
                   9974:     for(i=1,jk=1; i <=nlstate; i++){
                   9975:       for(j=1; j <=nlstate+ndeath; j++){
1.225     brouard  9976:        if (j!=i) {
                   9977:          fprintf(ficres,"%1d%1d",i,j);
                   9978:          printf("%1d%1d",i,j);
                   9979:          fprintf(ficlog,"%1d%1d",i,j);
                   9980:          for(k=1; k<=ncovmodel;k++){
                   9981:            printf(" %.5e",delti[jk]);
                   9982:            fprintf(ficlog," %.5e",delti[jk]);
                   9983:            fprintf(ficres," %.5e",delti[jk]);
                   9984:            jk++;
                   9985:          }
                   9986:          printf("\n");
                   9987:          fprintf(ficlog,"\n");
                   9988:          fprintf(ficres,"\n");
                   9989:        }
1.126     brouard  9990:       }
                   9991:     }
                   9992:     
                   9993:     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  9994:     if(mle >= 1) /* To big for the screen */
1.126     brouard  9995:       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");
                   9996:     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");
                   9997:     /* # 121 Var(a12)\n\ */
                   9998:     /* # 122 Cov(b12,a12) Var(b12)\n\ */
                   9999:     /* # 131 Cov(a13,a12) Cov(a13,b12, Var(a13)\n\ */
                   10000:     /* # 132 Cov(b13,a12) Cov(b13,b12, Cov(b13,a13) Var(b13)\n\ */
                   10001:     /* # 212 Cov(a21,a12) Cov(a21,b12, Cov(a21,a13) Cov(a21,b13) Var(a21)\n\ */
                   10002:     /* # 212 Cov(b21,a12) Cov(b21,b12, Cov(b21,a13) Cov(b21,b13) Cov(b21,a21) Var(b21)\n\ */
                   10003:     /* # 232 Cov(a23,a12) Cov(a23,b12, Cov(a23,a13) Cov(a23,b13) Cov(a23,a21) Cov(a23,b21) Var(a23)\n\ */
                   10004:     /* # 232 Cov(b23,a12) Cov(b23,b12) ... Var (b23)\n" */
                   10005:     
                   10006:     
                   10007:     /* Just to have a covariance matrix which will be more understandable
                   10008:        even is we still don't want to manage dictionary of variables
                   10009:     */
                   10010:     for(itimes=1;itimes<=2;itimes++){
                   10011:       jj=0;
                   10012:       for(i=1; i <=nlstate; i++){
1.225     brouard  10013:        for(j=1; j <=nlstate+ndeath; j++){
                   10014:          if(j==i) continue;
                   10015:          for(k=1; k<=ncovmodel;k++){
                   10016:            jj++;
                   10017:            ca[0]= k+'a'-1;ca[1]='\0';
                   10018:            if(itimes==1){
                   10019:              if(mle>=1)
                   10020:                printf("#%1d%1d%d",i,j,k);
                   10021:              fprintf(ficlog,"#%1d%1d%d",i,j,k);
                   10022:              fprintf(ficres,"#%1d%1d%d",i,j,k);
                   10023:            }else{
                   10024:              if(mle>=1)
                   10025:                printf("%1d%1d%d",i,j,k);
                   10026:              fprintf(ficlog,"%1d%1d%d",i,j,k);
                   10027:              fprintf(ficres,"%1d%1d%d",i,j,k);
                   10028:            }
                   10029:            ll=0;
                   10030:            for(li=1;li <=nlstate; li++){
                   10031:              for(lj=1;lj <=nlstate+ndeath; lj++){
                   10032:                if(lj==li) continue;
                   10033:                for(lk=1;lk<=ncovmodel;lk++){
                   10034:                  ll++;
                   10035:                  if(ll<=jj){
                   10036:                    cb[0]= lk +'a'-1;cb[1]='\0';
                   10037:                    if(ll<jj){
                   10038:                      if(itimes==1){
                   10039:                        if(mle>=1)
                   10040:                          printf(" Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   10041:                        fprintf(ficlog," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   10042:                        fprintf(ficres," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   10043:                      }else{
                   10044:                        if(mle>=1)
                   10045:                          printf(" %.5e",matcov[jj][ll]); 
                   10046:                        fprintf(ficlog," %.5e",matcov[jj][ll]); 
                   10047:                        fprintf(ficres," %.5e",matcov[jj][ll]); 
                   10048:                      }
                   10049:                    }else{
                   10050:                      if(itimes==1){
                   10051:                        if(mle>=1)
                   10052:                          printf(" Var(%s%1d%1d)",ca,i,j);
                   10053:                        fprintf(ficlog," Var(%s%1d%1d)",ca,i,j);
                   10054:                        fprintf(ficres," Var(%s%1d%1d)",ca,i,j);
                   10055:                      }else{
                   10056:                        if(mle>=1)
                   10057:                          printf(" %.7e",matcov[jj][ll]); 
                   10058:                        fprintf(ficlog," %.7e",matcov[jj][ll]); 
                   10059:                        fprintf(ficres," %.7e",matcov[jj][ll]); 
                   10060:                      }
                   10061:                    }
                   10062:                  }
                   10063:                } /* end lk */
                   10064:              } /* end lj */
                   10065:            } /* end li */
                   10066:            if(mle>=1)
                   10067:              printf("\n");
                   10068:            fprintf(ficlog,"\n");
                   10069:            fprintf(ficres,"\n");
                   10070:            numlinepar++;
                   10071:          } /* end k*/
                   10072:        } /*end j */
1.126     brouard  10073:       } /* end i */
                   10074:     } /* end itimes */
                   10075:     
                   10076:     fflush(ficlog);
                   10077:     fflush(ficres);
1.225     brouard  10078:     while(fgets(line, MAXLINE, ficpar)) {
                   10079:       /* If line starts with a # it is a comment */
                   10080:       if (line[0] == '#') {
                   10081:        numlinepar++;
                   10082:        fputs(line,stdout);
                   10083:        fputs(line,ficparo);
                   10084:        fputs(line,ficlog);
                   10085:        continue;
                   10086:       }else
                   10087:        break;
                   10088:     }
                   10089:     
1.209     brouard  10090:     /* while((c=getc(ficpar))=='#' && c!= EOF){ */
                   10091:     /*   ungetc(c,ficpar); */
                   10092:     /*   fgets(line, MAXLINE, ficpar); */
                   10093:     /*   fputs(line,stdout); */
                   10094:     /*   fputs(line,ficparo); */
                   10095:     /* } */
                   10096:     /* ungetc(c,ficpar); */
1.126     brouard  10097:     
                   10098:     estepm=0;
1.209     brouard  10099:     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){
1.225     brouard  10100:       
                   10101:       if (num_filled != 6) {
                   10102:        printf("Error: Not 6 parameters in line, for example:agemin=60 agemax=95 bage=55 fage=95 estepm=24 ftolpl=6e-4\n, your line=%s . Probably you are running an older format.\n",line);
                   10103:        fprintf(ficlog,"Error: Not 6 parameters in line, for example:agemin=60 agemax=95 bage=55 fage=95 estepm=24 ftolpl=6e-4\n, your line=%s . Probably you are running an older format.\n",line);
                   10104:        goto end;
                   10105:       }
                   10106:       printf("agemin=%lf agemax=%lf bage=%lf fage=%lf estepm=%d ftolpl=%lf\n",ageminpar,agemaxpar, bage, fage, estepm, ftolpl);
                   10107:     }
                   10108:     /* ftolpl=6*ftol*1.e5; /\* 6.e-3 make convergences in less than 80 loops for the prevalence limit *\/ */
                   10109:     /*ftolpl=6.e-4;*/ /* 6.e-3 make convergences in less than 80 loops for the prevalence limit */
                   10110:     
1.209     brouard  10111:     /* fscanf(ficpar,"agemin=%lf agemax=%lf bage=%lf fage=%lf estepm=%d ftolpl=%\n",&ageminpar,&agemaxpar, &bage, &fage, &estepm); */
1.126     brouard  10112:     if (estepm==0 || estepm < stepm) estepm=stepm;
                   10113:     if (fage <= 2) {
                   10114:       bage = ageminpar;
                   10115:       fage = agemaxpar;
                   10116:     }
                   10117:     
                   10118:     fprintf(ficres,"# agemin agemax for life expectancy, bage fage (if mle==0 ie no data nor Max likelihood).\n");
1.211     brouard  10119:     fprintf(ficres,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d ftolpl=%e\n",ageminpar,agemaxpar,bage,fage, estepm, ftolpl);
                   10120:     fprintf(ficparo,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d, ftolpl=%e\n",ageminpar,agemaxpar,bage,fage, estepm, ftolpl);
1.220     brouard  10121:                
1.186     brouard  10122:     /* Other stuffs, more or less useful */    
1.126     brouard  10123:     while((c=getc(ficpar))=='#' && c!= EOF){
                   10124:       ungetc(c,ficpar);
                   10125:       fgets(line, MAXLINE, ficpar);
1.141     brouard  10126:       fputs(line,stdout);
1.126     brouard  10127:       fputs(line,ficparo);
                   10128:     }
                   10129:     ungetc(c,ficpar);
                   10130:     
                   10131:     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);
                   10132:     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);
                   10133:     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);
                   10134:     printf("begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf mov_average=%d\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,mobilav);
                   10135:     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);
                   10136:     
                   10137:     while((c=getc(ficpar))=='#' && c!= EOF){
                   10138:       ungetc(c,ficpar);
                   10139:       fgets(line, MAXLINE, ficpar);
1.141     brouard  10140:       fputs(line,stdout);
1.126     brouard  10141:       fputs(line,ficparo);
                   10142:     }
                   10143:     ungetc(c,ficpar);
                   10144:     
                   10145:     
                   10146:     dateprev1=anprev1+(mprev1-1)/12.+(jprev1-1)/365.;
                   10147:     dateprev2=anprev2+(mprev2-1)/12.+(jprev2-1)/365.;
                   10148:     
                   10149:     fscanf(ficpar,"pop_based=%d\n",&popbased);
1.193     brouard  10150:     fprintf(ficlog,"pop_based=%d\n",popbased);
1.126     brouard  10151:     fprintf(ficparo,"pop_based=%d\n",popbased);   
                   10152:     fprintf(ficres,"pop_based=%d\n",popbased);   
                   10153:     
                   10154:     while((c=getc(ficpar))=='#' && c!= EOF){
                   10155:       ungetc(c,ficpar);
                   10156:       fgets(line, MAXLINE, ficpar);
1.141     brouard  10157:       fputs(line,stdout);
1.126     brouard  10158:       fputs(line,ficparo);
                   10159:     }
                   10160:     ungetc(c,ficpar);
                   10161:     
                   10162:     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);
                   10163:     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);
                   10164:     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);
                   10165:     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);
                   10166:     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);
                   10167:     /* day and month of proj2 are not used but only year anproj2.*/
                   10168:     
1.217     brouard  10169:     while((c=getc(ficpar))=='#' && c!= EOF){
                   10170:       ungetc(c,ficpar);
                   10171:       fgets(line, MAXLINE, ficpar);
                   10172:       fputs(line,stdout);
                   10173:       fputs(line,ficparo);
                   10174:     }
                   10175:     ungetc(c,ficpar);
                   10176:     
                   10177:     fscanf(ficpar,"backcast=%d starting-back-date=%lf/%lf/%lf final-back-date=%lf/%lf/%lf mobil_average=%d\n",&backcast,&jback1,&mback1,&anback1,&jback2,&mback2,&anback2,&mobilavproj);
1.223     brouard  10178:     fprintf(ficparo,"backcast=%d starting-back-date=%.lf/%.lf/%.lf final-back-date=%.lf/%.lf/%.lf mobil_average=%d\n",backcast,jback1,mback1,anback1,jback2,mback2,anback2,mobilavproj);
                   10179:     fprintf(ficlog,"backcast=%d starting-back-date=%.lf/%.lf/%.lf final-back-date=%.lf/%.lf/%.lf mobil_average=%d\n",backcast,jback1,mback1,anback1,jback2,mback2,anback2,mobilavproj);
                   10180:     fprintf(ficres,"backcast=%d starting-back-date=%.lf/%.lf/%.lf final-back-date=%.lf/%.lf/%.lf mobil_average=%d\n",backcast,jback1,mback1,anback1,jback2,mback2,anback2,mobilavproj);
1.217     brouard  10181:     /* day and month of proj2 are not used but only year anproj2.*/
1.126     brouard  10182:     
                   10183:     
1.220     brouard  10184:                /* freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint); */
1.145     brouard  10185:     /* ,dateprev1,dateprev2,jprev1, mprev1,anprev1,jprev2, mprev2,anprev2); */
1.126     brouard  10186:     
                   10187:     replace_back_to_slash(pathc,pathcd); /* Even gnuplot wants a / */
1.194     brouard  10188:     if(ageminpar == AGEOVERFLOW ||agemaxpar == -AGEOVERFLOW){
1.220     brouard  10189:                        printf("Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
1.194     brouard  10190: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   10191: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
1.220     brouard  10192:                        fprintf(ficlog,"Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
1.194     brouard  10193: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   10194: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
1.220     brouard  10195:     }else{
1.218     brouard  10196:       printinggnuplot(fileresu, optionfilefiname,ageminpar,agemaxpar,fage, prevfcast, backcast, pathc,p);
1.220     brouard  10197:     }
                   10198:     printinghtml(fileresu,title,datafile, firstpass, lastpass, stepm, weightopt, \
1.225     brouard  10199:                 model,imx,jmin,jmax,jmean,rfileres,popforecast,prevfcast,backcast, estepm, \
                   10200:                 jprev1,mprev1,anprev1,dateprev1,jprev2,mprev2,anprev2,dateprev2);
1.220     brouard  10201:                
1.225     brouard  10202:     /*------------ free_vector  -------------*/
                   10203:     /*  chdir(path); */
1.220     brouard  10204:                
1.215     brouard  10205:     /* free_ivector(wav,1,imx); */  /* Moved after last prevalence call */
                   10206:     /* free_imatrix(dh,1,lastpass-firstpass+2,1,imx); */
                   10207:     /* free_imatrix(bh,1,lastpass-firstpass+2,1,imx); */
                   10208:     /* free_imatrix(mw,1,lastpass-firstpass+2,1,imx);    */
1.126     brouard  10209:     free_lvector(num,1,n);
                   10210:     free_vector(agedc,1,n);
                   10211:     /*free_matrix(covar,0,NCOVMAX,1,n);*/
                   10212:     /*free_matrix(covar,1,NCOVMAX,1,n);*/
                   10213:     fclose(ficparo);
                   10214:     fclose(ficres);
1.220     brouard  10215:                
                   10216:                
1.186     brouard  10217:     /* Other results (useful)*/
1.220     brouard  10218:                
                   10219:                
1.126     brouard  10220:     /*--------------- Prevalence limit  (period or stable prevalence) --------------*/
1.180     brouard  10221:     /*#include "prevlim.h"*/  /* Use ficrespl, ficlog */
                   10222:     prlim=matrix(1,nlstate,1,nlstate);
1.209     brouard  10223:     prevalence_limit(p, prlim,  ageminpar, agemaxpar, ftolpl, &ncvyear);
1.126     brouard  10224:     fclose(ficrespl);
                   10225: 
                   10226:     /*------------- h Pij x at various ages ------------*/
1.180     brouard  10227:     /*#include "hpijx.h"*/
                   10228:     hPijx(p, bage, fage);
1.145     brouard  10229:     fclose(ficrespij);
1.227     brouard  10230:     
1.220     brouard  10231:     /* ncovcombmax=  pow(2,cptcoveff); */
1.219     brouard  10232:     /*-------------- Variance of one-step probabilities---*/
1.145     brouard  10233:     k=1;
1.126     brouard  10234:     varprob(optionfilefiname, matcov, p, delti, nlstate, bage, fage,k,Tvar,nbcode, ncodemax,strstart);
1.227     brouard  10235:     
1.219     brouard  10236:     /* Prevalence for each covariates in probs[age][status][cov] */
1.218     brouard  10237:     probs= ma3x(1,AGESUP,1,nlstate+ndeath, 1,ncovcombmax);
1.126     brouard  10238:     for(i=1;i<=AGESUP;i++)
1.219     brouard  10239:       for(j=1;j<=nlstate+ndeath;j++) /* ndeath is useless but a necessity to be compared with mobaverages */
1.225     brouard  10240:        for(k=1;k<=ncovcombmax;k++)
                   10241:          probs[i][j][k]=0.;
1.219     brouard  10242:     prevalence(probs, ageminpar, agemaxpar, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass);
                   10243:     if (mobilav!=0 ||mobilavproj !=0 ) {
                   10244:       mobaverages= ma3x(1, AGESUP,1,nlstate+ndeath, 1,ncovcombmax);
1.227     brouard  10245:       for(i=1;i<=AGESUP;i++)
                   10246:        for(j=1;j<=nlstate;j++)
                   10247:          for(k=1;k<=ncovcombmax;k++)
                   10248:            mobaverages[i][j][k]=0.;
1.219     brouard  10249:       mobaverage=mobaverages;
                   10250:       if (mobilav!=0) {
1.227     brouard  10251:        if (movingaverage(probs, ageminpar, agemaxpar, mobaverage, mobilav)!=0){
                   10252:          fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
                   10253:          printf(" Error in movingaverage mobilav=%d\n",mobilav);
                   10254:        }
1.219     brouard  10255:       }
                   10256:       /* /\* Prevalence for each covariates in probs[age][status][cov] *\/ */
                   10257:       /* prevalence(probs, ageminpar, agemaxpar, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass); */
                   10258:       else if (mobilavproj !=0) {
1.227     brouard  10259:        if (movingaverage(probs, ageminpar, agemaxpar, mobaverage, mobilavproj)!=0){
                   10260:          fprintf(ficlog," Error in movingaverage mobilavproj=%d\n",mobilavproj);
                   10261:          printf(" Error in movingaverage mobilavproj=%d\n",mobilavproj);
                   10262:        }
1.219     brouard  10263:       }
                   10264:     }/* end if moving average */
1.227     brouard  10265:     
1.126     brouard  10266:     /*---------- Forecasting ------------------*/
                   10267:     /*if((stepm == 1) && (strcmp(model,".")==0)){*/
                   10268:     if(prevfcast==1){
                   10269:       /*    if(stepm ==1){*/
1.225     brouard  10270:       prevforecast(fileresu, anproj1, mproj1, jproj1, agemin, agemax, dateprev1, dateprev2, mobilavproj, bage, fage, firstpass, lastpass, anproj2, p, cptcoveff);
1.126     brouard  10271:     }
1.217     brouard  10272:     if(backcast==1){
1.219     brouard  10273:       ddnewms=matrix(1,nlstate+ndeath,1,nlstate+ndeath);       
                   10274:       ddoldms=matrix(1,nlstate+ndeath,1,nlstate+ndeath);       
                   10275:       ddsavms=matrix(1,nlstate+ndeath,1,nlstate+ndeath);
                   10276: 
                   10277:       /*--------------- Back Prevalence limit  (period or stable prevalence) --------------*/
                   10278: 
                   10279:       bprlim=matrix(1,nlstate,1,nlstate);
                   10280:       back_prevalence_limit(p, bprlim,  ageminpar, agemaxpar, ftolpl, &ncvyear, dateprev1, dateprev2, firstpass, lastpass, mobilavproj);
                   10281:       fclose(ficresplb);
                   10282: 
1.222     brouard  10283:       hBijx(p, bage, fage, mobaverage);
                   10284:       fclose(ficrespijb);
1.219     brouard  10285:       free_matrix(bprlim,1,nlstate,1,nlstate); /*here or after loop ? */
                   10286: 
                   10287:       /* prevbackforecast(fileresu, anback1, mback1, jback1, agemin, agemax, dateprev1, dateprev2, mobilavproj,
1.225     brouard  10288:         bage, fage, firstpass, lastpass, anback2, p, cptcoveff); */
1.219     brouard  10289:       free_matrix(ddnewms, 1, nlstate+ndeath, 1, nlstate+ndeath);
                   10290:       free_matrix(ddsavms, 1, nlstate+ndeath, 1, nlstate+ndeath);
                   10291:       free_matrix(ddoldms, 1, nlstate+ndeath, 1, nlstate+ndeath);
                   10292:     }
1.217     brouard  10293:     
1.186     brouard  10294:  
                   10295:     /* ------ Other prevalence ratios------------ */
1.126     brouard  10296: 
1.215     brouard  10297:     free_ivector(wav,1,imx);
                   10298:     free_imatrix(dh,1,lastpass-firstpass+2,1,imx);
                   10299:     free_imatrix(bh,1,lastpass-firstpass+2,1,imx);
                   10300:     free_imatrix(mw,1,lastpass-firstpass+2,1,imx);   
1.218     brouard  10301:                
                   10302:                
1.127     brouard  10303:     /*---------- Health expectancies, no variances ------------*/
1.218     brouard  10304:                
1.201     brouard  10305:     strcpy(filerese,"E_");
                   10306:     strcat(filerese,fileresu);
1.126     brouard  10307:     if((ficreseij=fopen(filerese,"w"))==NULL) {
                   10308:       printf("Problem with Health Exp. resultfile: %s\n", filerese); exit(0);
                   10309:       fprintf(ficlog,"Problem with Health Exp. resultfile: %s\n", filerese); exit(0);
                   10310:     }
1.208     brouard  10311:     printf("Computing Health Expectancies: result on file '%s' ...", filerese);fflush(stdout);
                   10312:     fprintf(ficlog,"Computing Health Expectancies: result on file '%s' ...", filerese);fflush(ficlog);
1.219     brouard  10313:                
1.227     brouard  10314:     for (k=1; k <= (int) pow(2,cptcoveff); k++){ /* For any combination of dummy covariates, fixed and varying */
1.219     brouard  10315:       fprintf(ficreseij,"\n#****** ");
1.225     brouard  10316:       for(j=1;j<=cptcoveff;j++) {
1.227     brouard  10317:        fprintf(ficreseij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.219     brouard  10318:       }
                   10319:       fprintf(ficreseij,"******\n");
                   10320:       
                   10321:       eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
                   10322:       oldm=oldms;savm=savms;
                   10323:       evsij(eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k, estepm, strstart);  
1.127     brouard  10324:       
1.219     brouard  10325:       free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);
1.127     brouard  10326:     }
                   10327:     fclose(ficreseij);
1.208     brouard  10328:     printf("done evsij\n");fflush(stdout);
                   10329:     fprintf(ficlog,"done evsij\n");fflush(ficlog);
1.218     brouard  10330:                
1.227     brouard  10331:     /*---------- State-specific expectancies and variances ------------*/
1.218     brouard  10332:                
                   10333:                
1.201     brouard  10334:     strcpy(filerest,"T_");
                   10335:     strcat(filerest,fileresu);
1.127     brouard  10336:     if((ficrest=fopen(filerest,"w"))==NULL) {
                   10337:       printf("Problem with total LE resultfile: %s\n", filerest);goto end;
                   10338:       fprintf(ficlog,"Problem with total LE resultfile: %s\n", filerest);goto end;
                   10339:     }
1.208     brouard  10340:     printf("Computing Total Life expectancies with their standard errors: file '%s' ...\n", filerest); fflush(stdout);
                   10341:     fprintf(ficlog,"Computing Total Life expectancies with their standard errors: file '%s' ...\n", filerest); fflush(ficlog);
1.218     brouard  10342:                
1.126     brouard  10343: 
1.201     brouard  10344:     strcpy(fileresstde,"STDE_");
                   10345:     strcat(fileresstde,fileresu);
1.126     brouard  10346:     if((ficresstdeij=fopen(fileresstde,"w"))==NULL) {
1.227     brouard  10347:       printf("Problem with State specific Exp. and std errors resultfile: %s\n", fileresstde); exit(0);
                   10348:       fprintf(ficlog,"Problem with State specific Exp. and std errors resultfile: %s\n", fileresstde); exit(0);
1.126     brouard  10349:     }
1.227     brouard  10350:     printf("  Computing State-specific Expectancies and standard errors: result on file '%s' \n", fileresstde);
                   10351:     fprintf(ficlog,"  Computing State-specific Expectancies and standard errors: result on file '%s' \n", fileresstde);
1.126     brouard  10352: 
1.201     brouard  10353:     strcpy(filerescve,"CVE_");
                   10354:     strcat(filerescve,fileresu);
1.126     brouard  10355:     if((ficrescveij=fopen(filerescve,"w"))==NULL) {
1.227     brouard  10356:       printf("Problem with Covar. State-specific Exp. resultfile: %s\n", filerescve); exit(0);
                   10357:       fprintf(ficlog,"Problem with Covar. State-specific Exp. resultfile: %s\n", filerescve); exit(0);
1.126     brouard  10358:     }
1.227     brouard  10359:     printf("    Computing Covar. of State-specific Expectancies: result on file '%s' \n", filerescve);
                   10360:     fprintf(ficlog,"    Computing Covar. of State-specific Expectancies: result on file '%s' \n", filerescve);
1.126     brouard  10361: 
1.201     brouard  10362:     strcpy(fileresv,"V_");
                   10363:     strcat(fileresv,fileresu);
1.126     brouard  10364:     if((ficresvij=fopen(fileresv,"w"))==NULL) {
                   10365:       printf("Problem with variance resultfile: %s\n", fileresv);exit(0);
                   10366:       fprintf(ficlog,"Problem with variance resultfile: %s\n", fileresv);exit(0);
                   10367:     }
1.227     brouard  10368:     printf("      Computing Variance-covariance of State-specific Expectancies: file '%s' ... ", fileresv);fflush(stdout);
                   10369:     fprintf(ficlog,"      Computing Variance-covariance of State-specific Expectancies: file '%s' ... ", fileresv);fflush(ficlog);
1.126     brouard  10370: 
1.145     brouard  10371:     /*for(cptcov=1,k=0;cptcov<=i1;cptcov++){
                   10372:       for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*/
                   10373:           
1.225     brouard  10374:     for (k=1; k <= (int) pow(2,cptcoveff); k++){
1.227     brouard  10375:       printf("\n#****** ");
1.208     brouard  10376:       fprintf(ficrest,"\n#****** ");
1.227     brouard  10377:       fprintf(ficlog,"\n#****** ");
                   10378:       for(j=1;j<=cptcoveff;j++){ 
                   10379:        printf("V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10380:        fprintf(ficrest,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10381:        fprintf(ficlog,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10382:       }
1.208     brouard  10383:       fprintf(ficrest,"******\n");
1.227     brouard  10384:       fprintf(ficlog,"******\n");
                   10385:       printf("******\n");
1.208     brouard  10386:       
                   10387:       fprintf(ficresstdeij,"\n#****** ");
                   10388:       fprintf(ficrescveij,"\n#****** ");
1.225     brouard  10389:       for(j=1;j<=cptcoveff;j++) {
1.227     brouard  10390:        fprintf(ficresstdeij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10391:        fprintf(ficrescveij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.208     brouard  10392:       }
                   10393:       fprintf(ficresstdeij,"******\n");
                   10394:       fprintf(ficrescveij,"******\n");
                   10395:       
                   10396:       fprintf(ficresvij,"\n#****** ");
1.225     brouard  10397:       for(j=1;j<=cptcoveff;j++) 
1.227     brouard  10398:        fprintf(ficresvij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.208     brouard  10399:       fprintf(ficresvij,"******\n");
                   10400:       
                   10401:       eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
                   10402:       oldm=oldms;savm=savms;
1.227     brouard  10403:       printf(" cvevsij combination#=%d, ",k);
                   10404:       fprintf(ficlog, " cvevsij combination#=%d, ",k);
1.208     brouard  10405:       cvevsij(eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k, estepm, delti, matcov, strstart);
                   10406:       printf(" end cvevsij \n ");
                   10407:       fprintf(ficlog, " end cvevsij \n ");
                   10408:       
                   10409:       /*
                   10410:        */
                   10411:       /* goto endfree; */
                   10412:       
                   10413:       vareij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
                   10414:       pstamp(ficrest);
                   10415:       
                   10416:       
                   10417:       for(vpopbased=0; vpopbased <= popbased; vpopbased++){ /* Done for vpopbased=0 and vpopbased=1 if popbased==1*/
1.227     brouard  10418:        oldm=oldms;savm=savms; /* ZZ Segmentation fault */
                   10419:        cptcod= 0; /* To be deleted */
                   10420:        printf("varevsij vpopbased=%d \n",vpopbased);
                   10421:        fprintf(ficlog, "varevsij vpopbased=%d \n",vpopbased);
                   10422:        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 */
                   10423:        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 ");
                   10424:        if(vpopbased==1)
                   10425:          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);
                   10426:        else
                   10427:          fprintf(ficrest,"the age specific period (stable) prevalences in each health state \n");
                   10428:        fprintf(ficrest,"# Age popbased mobilav e.. (std) ");
                   10429:        for (i=1;i<=nlstate;i++) fprintf(ficrest,"e.%d (std) ",i);
                   10430:        fprintf(ficrest,"\n");
                   10431:        /* printf("Which p?\n"); for(i=1;i<=npar;i++)printf("p[i=%d]=%lf,",i,p[i]);printf("\n"); */
                   10432:        epj=vector(1,nlstate+1);
                   10433:        printf("Computing age specific period (stable) prevalences in each health state \n");
                   10434:        fprintf(ficlog,"Computing age specific period (stable) prevalences in each health state \n");
                   10435:        for(age=bage; age <=fage ;age++){
                   10436:          prevalim(prlim, nlstate, p, age, oldm, savm, ftolpl, &ncvyear, k); /*ZZ Is it the correct prevalim */
                   10437:          if (vpopbased==1) {
                   10438:            if(mobilav ==0){
                   10439:              for(i=1; i<=nlstate;i++)
                   10440:                prlim[i][i]=probs[(int)age][i][k];
                   10441:            }else{ /* mobilav */ 
                   10442:              for(i=1; i<=nlstate;i++)
                   10443:                prlim[i][i]=mobaverage[(int)age][i][k];
                   10444:            }
                   10445:          }
1.219     brouard  10446:          
1.227     brouard  10447:          fprintf(ficrest," %4.0f %d %d",age, vpopbased, mobilav);
                   10448:          /* fprintf(ficrest," %4.0f %d %d %d %d",age, vpopbased, mobilav,Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]); */ /* to be done */
                   10449:          /* printf(" age %4.0f ",age); */
                   10450:          for(j=1, epj[nlstate+1]=0.;j <=nlstate;j++){
                   10451:            for(i=1, epj[j]=0.;i <=nlstate;i++) {
                   10452:              epj[j] += prlim[i][i]*eij[i][j][(int)age];
                   10453:              /*ZZZ  printf("%lf %lf ", prlim[i][i] ,eij[i][j][(int)age]);*/
                   10454:              /* printf("%lf %lf ", prlim[i][i] ,eij[i][j][(int)age]); */
                   10455:            }
                   10456:            epj[nlstate+1] +=epj[j];
                   10457:          }
                   10458:          /* printf(" age %4.0f \n",age); */
1.219     brouard  10459:          
1.227     brouard  10460:          for(i=1, vepp=0.;i <=nlstate;i++)
                   10461:            for(j=1;j <=nlstate;j++)
                   10462:              vepp += vareij[i][j][(int)age];
                   10463:          fprintf(ficrest," %7.3f (%7.3f)", epj[nlstate+1],sqrt(vepp));
                   10464:          for(j=1;j <=nlstate;j++){
                   10465:            fprintf(ficrest," %7.3f (%7.3f)", epj[j],sqrt(vareij[j][j][(int)age]));
                   10466:          }
                   10467:          fprintf(ficrest,"\n");
                   10468:        }
1.208     brouard  10469:       } /* End vpopbased */
                   10470:       free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);
                   10471:       free_ma3x(vareij,1,nlstate,1,nlstate,(int) bage, (int)fage);
                   10472:       free_vector(epj,1,nlstate+1);
                   10473:       printf("done \n");fflush(stdout);
                   10474:       fprintf(ficlog,"done\n");fflush(ficlog);
                   10475:       
1.145     brouard  10476:       /*}*/
1.208     brouard  10477:     } /* End k */
1.227     brouard  10478: 
                   10479:     printf("done State-specific expectancies\n");fflush(stdout);
                   10480:     fprintf(ficlog,"done State-specific expectancies\n");fflush(ficlog);
                   10481: 
1.126     brouard  10482:     /*------- Variance of period (stable) prevalence------*/   
1.227     brouard  10483:     
1.201     brouard  10484:     strcpy(fileresvpl,"VPL_");
                   10485:     strcat(fileresvpl,fileresu);
1.126     brouard  10486:     if((ficresvpl=fopen(fileresvpl,"w"))==NULL) {
                   10487:       printf("Problem with variance of period (stable) prevalence  resultfile: %s\n", fileresvpl);
                   10488:       exit(0);
                   10489:     }
1.208     brouard  10490:     printf("Computing Variance-covariance of period (stable) prevalence: file '%s' ...", fileresvpl);fflush(stdout);
                   10491:     fprintf(ficlog, "Computing Variance-covariance of period (stable) prevalence: file '%s' ...", fileresvpl);fflush(ficlog);
1.227     brouard  10492:     
1.145     brouard  10493:     /*for(cptcov=1,k=0;cptcov<=i1;cptcov++){
                   10494:       for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*/
1.227     brouard  10495:     
1.225     brouard  10496:     for (k=1; k <= (int) pow(2,cptcoveff); k++){
1.227     brouard  10497:       fprintf(ficresvpl,"\n#****** ");
                   10498:       printf("\n#****** ");
                   10499:       fprintf(ficlog,"\n#****** ");
                   10500:       for(j=1;j<=cptcoveff;j++) {
                   10501:        fprintf(ficresvpl,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10502:        fprintf(ficlog,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10503:        printf("V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10504:       }
                   10505:       fprintf(ficresvpl,"******\n");
                   10506:       printf("******\n");
                   10507:       fprintf(ficlog,"******\n");
                   10508:       
                   10509:       varpl=matrix(1,nlstate,(int) bage, (int) fage);
                   10510:       oldm=oldms;savm=savms;
                   10511:       varprevlim(fileres, varpl, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl, &ncvyear, k, strstart);
                   10512:       free_matrix(varpl,1,nlstate,(int) bage, (int)fage);
1.145     brouard  10513:       /*}*/
1.126     brouard  10514:     }
1.227     brouard  10515:     
1.126     brouard  10516:     fclose(ficresvpl);
1.208     brouard  10517:     printf("done variance-covariance of period prevalence\n");fflush(stdout);
                   10518:     fprintf(ficlog,"done variance-covariance of period prevalence\n");fflush(ficlog);
1.227     brouard  10519:     
                   10520:     free_vector(weight,1,n);
                   10521:     free_imatrix(Tvard,1,NCOVMAX,1,2);
                   10522:     free_imatrix(s,1,maxwav+1,1,n);
                   10523:     free_matrix(anint,1,maxwav,1,n); 
                   10524:     free_matrix(mint,1,maxwav,1,n);
                   10525:     free_ivector(cod,1,n);
                   10526:     free_ivector(tab,1,NCOVMAX);
                   10527:     fclose(ficresstdeij);
                   10528:     fclose(ficrescveij);
                   10529:     fclose(ficresvij);
                   10530:     fclose(ficrest);
                   10531:     fclose(ficpar);
                   10532:     
                   10533:     
1.126     brouard  10534:     /*---------- End : free ----------------*/
1.219     brouard  10535:     if (mobilav!=0 ||mobilavproj !=0)
                   10536:       free_ma3x(mobaverages,1, AGESUP,1,nlstate+ndeath, 1,ncovcombmax); /* We need to have a squared matrix with prevalence of the dead! */
1.218     brouard  10537:     free_ma3x(probs,1,AGESUP,1,nlstate+ndeath, 1,ncovcombmax);
1.220     brouard  10538:     free_matrix(prlim,1,nlstate,1,nlstate); /*here or after loop ? */
                   10539:     free_matrix(pmmij,1,nlstate+ndeath,1,nlstate+ndeath);
1.126     brouard  10540:   }  /* mle==-3 arrives here for freeing */
1.227     brouard  10541:   /* endfree:*/
                   10542:   free_matrix(oldms, 1,nlstate+ndeath,1,nlstate+ndeath);
                   10543:   free_matrix(newms, 1,nlstate+ndeath,1,nlstate+ndeath);
                   10544:   free_matrix(savms, 1,nlstate+ndeath,1,nlstate+ndeath);
                   10545:   free_ma3x(cotqvar,1,maxwav,1,nqtv,1,n);
                   10546:   free_ma3x(cotvar,1,maxwav,1,ntv,1,n);
                   10547:   free_matrix(coqvar,1,maxwav,1,n);
                   10548:   free_matrix(covar,0,NCOVMAX,1,n);
                   10549:   free_matrix(matcov,1,npar,1,npar);
                   10550:   free_matrix(hess,1,npar,1,npar);
                   10551:   /*free_vector(delti,1,npar);*/
                   10552:   free_ma3x(delti3,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel); 
                   10553:   free_matrix(agev,1,maxwav,1,imx);
                   10554:   free_ma3x(param,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel);
                   10555:   
                   10556:   free_ivector(ncodemax,1,NCOVMAX);
                   10557:   free_ivector(ncodemaxwundef,1,NCOVMAX);
                   10558:   free_ivector(Dummy,-1,NCOVMAX);
                   10559:   free_ivector(Fixed,-1,NCOVMAX);
                   10560:   free_ivector(Typevar,-1,NCOVMAX);
                   10561:   free_ivector(Tvar,1,NCOVMAX);
                   10562:   free_ivector(Tposprod,1,NCOVMAX);
                   10563:   free_ivector(Tprod,1,NCOVMAX);
                   10564:   free_ivector(Tvaraff,1,NCOVMAX);
                   10565:   free_ivector(invalidvarcomb,1,ncovcombmax);
                   10566:   free_ivector(Tage,1,NCOVMAX);
                   10567:   free_ivector(Tmodelind,1,NCOVMAX);
1.228     brouard  10568:   free_ivector(TmodelInvind,1,NCOVMAX);
                   10569:   free_ivector(TmodelInvQind,1,NCOVMAX);
1.227     brouard  10570:   
                   10571:   free_imatrix(nbcode,0,NCOVMAX,0,NCOVMAX);
                   10572:   /* free_imatrix(codtab,1,100,1,10); */
1.126     brouard  10573:   fflush(fichtm);
                   10574:   fflush(ficgp);
                   10575:   
1.227     brouard  10576:   
1.126     brouard  10577:   if((nberr >0) || (nbwarn>0)){
1.216     brouard  10578:     printf("End of Imach with %d errors and/or %d warnings. Please look at the log file for details.\n",nberr,nbwarn);
                   10579:     fprintf(ficlog,"End of Imach with %d errors and/or warnings %d. Please look at the log file for details.\n",nberr,nbwarn);
1.126     brouard  10580:   }else{
                   10581:     printf("End of Imach\n");
                   10582:     fprintf(ficlog,"End of Imach\n");
                   10583:   }
                   10584:   printf("See log file on %s\n",filelog);
                   10585:   /*  gettimeofday(&end_time, (struct timezone*)0);*/  /* after time */
1.157     brouard  10586:   /*(void) gettimeofday(&end_time,&tzp);*/
                   10587:   rend_time = time(NULL);  
                   10588:   end_time = *localtime(&rend_time);
                   10589:   /* tml = *localtime(&end_time.tm_sec); */
                   10590:   strcpy(strtend,asctime(&end_time));
1.126     brouard  10591:   printf("Local time at start %s\nLocal time at end   %s",strstart, strtend); 
                   10592:   fprintf(ficlog,"Local time at start %s\nLocal time at end   %s\n",strstart, strtend); 
1.157     brouard  10593:   printf("Total time used %s\n", asc_diff_time(rend_time -rstart_time,tmpout));
1.227     brouard  10594:   
1.157     brouard  10595:   printf("Total time was %.0lf Sec.\n", difftime(rend_time,rstart_time));
                   10596:   fprintf(ficlog,"Total time used %s\n", asc_diff_time(rend_time -rstart_time,tmpout));
                   10597:   fprintf(ficlog,"Total time was %.0lf Sec.\n", difftime(rend_time,rstart_time));
1.126     brouard  10598:   /*  printf("Total time was %d uSec.\n", total_usecs);*/
                   10599: /*   if(fileappend(fichtm,optionfilehtm)){ */
                   10600:   fprintf(fichtm,"<br>Local time at start %s<br>Local time at end   %s<br>\n</body></html>",strstart, strtend);
                   10601:   fclose(fichtm);
                   10602:   fprintf(fichtmcov,"<br>Local time at start %s<br>Local time at end   %s<br>\n</body></html>",strstart, strtend);
                   10603:   fclose(fichtmcov);
                   10604:   fclose(ficgp);
                   10605:   fclose(ficlog);
                   10606:   /*------ End -----------*/
1.227     brouard  10607:   
                   10608:   
                   10609:   printf("Before Current directory %s!\n",pathcd);
1.184     brouard  10610: #ifdef WIN32
1.227     brouard  10611:   if (_chdir(pathcd) != 0)
                   10612:     printf("Can't move to directory %s!\n",path);
                   10613:   if(_getcwd(pathcd,MAXLINE) > 0)
1.184     brouard  10614: #else
1.227     brouard  10615:     if(chdir(pathcd) != 0)
                   10616:       printf("Can't move to directory %s!\n", path);
                   10617:   if (getcwd(pathcd, MAXLINE) > 0)
1.184     brouard  10618: #endif 
1.126     brouard  10619:     printf("Current directory %s!\n",pathcd);
                   10620:   /*strcat(plotcmd,CHARSEPARATOR);*/
                   10621:   sprintf(plotcmd,"gnuplot");
1.157     brouard  10622: #ifdef _WIN32
1.126     brouard  10623:   sprintf(plotcmd,"\"%sgnuplot.exe\"",pathimach);
                   10624: #endif
                   10625:   if(!stat(plotcmd,&info)){
1.158     brouard  10626:     printf("Error or gnuplot program not found: '%s'\n",plotcmd);fflush(stdout);
1.126     brouard  10627:     if(!stat(getenv("GNUPLOTBIN"),&info)){
1.158     brouard  10628:       printf("Error or gnuplot program not found: '%s' Environment GNUPLOTBIN not set.\n",plotcmd);fflush(stdout);
1.126     brouard  10629:     }else
                   10630:       strcpy(pplotcmd,plotcmd);
1.157     brouard  10631: #ifdef __unix
1.126     brouard  10632:     strcpy(plotcmd,GNUPLOTPROGRAM);
                   10633:     if(!stat(plotcmd,&info)){
1.158     brouard  10634:       printf("Error gnuplot program not found: '%s'\n",plotcmd);fflush(stdout);
1.126     brouard  10635:     }else
                   10636:       strcpy(pplotcmd,plotcmd);
                   10637: #endif
                   10638:   }else
                   10639:     strcpy(pplotcmd,plotcmd);
                   10640:   
                   10641:   sprintf(plotcmd,"%s %s",pplotcmd, optionfilegnuplot);
1.158     brouard  10642:   printf("Starting graphs with: '%s'\n",plotcmd);fflush(stdout);
1.227     brouard  10643:   
1.126     brouard  10644:   if((outcmd=system(plotcmd)) != 0){
1.158     brouard  10645:     printf("gnuplot command might not be in your path: '%s', err=%d\n", plotcmd, outcmd);
1.154     brouard  10646:     printf("\n Trying if gnuplot resides on the same directory that IMaCh\n");
1.152     brouard  10647:     sprintf(plotcmd,"%sgnuplot %s", pathimach, optionfilegnuplot);
1.150     brouard  10648:     if((outcmd=system(plotcmd)) != 0)
1.153     brouard  10649:       printf("\n Still a problem with gnuplot command %s, err=%d\n", plotcmd, outcmd);
1.126     brouard  10650:   }
1.158     brouard  10651:   printf(" Successful, please wait...");
1.126     brouard  10652:   while (z[0] != 'q') {
                   10653:     /* chdir(path); */
1.154     brouard  10654:     printf("\nType e to edit results with your browser, g to graph again and q for exit: ");
1.126     brouard  10655:     scanf("%s",z);
                   10656: /*     if (z[0] == 'c') system("./imach"); */
                   10657:     if (z[0] == 'e') {
1.158     brouard  10658: #ifdef __APPLE__
1.152     brouard  10659:       sprintf(pplotcmd, "open %s", optionfilehtm);
1.157     brouard  10660: #elif __linux
                   10661:       sprintf(pplotcmd, "xdg-open %s", optionfilehtm);
1.153     brouard  10662: #else
1.152     brouard  10663:       sprintf(pplotcmd, "%s", optionfilehtm);
1.153     brouard  10664: #endif
                   10665:       printf("Starting browser with: %s",pplotcmd);fflush(stdout);
                   10666:       system(pplotcmd);
1.126     brouard  10667:     }
                   10668:     else if (z[0] == 'g') system(plotcmd);
                   10669:     else if (z[0] == 'q') exit(0);
                   10670:   }
1.227     brouard  10671: end:
1.126     brouard  10672:   while (z[0] != 'q') {
1.195     brouard  10673:     printf("\nType  q for exiting: "); fflush(stdout);
1.126     brouard  10674:     scanf("%s",z);
                   10675:   }
                   10676: }

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