Annotation of imach/src/imach.c, revision 1.233

1.233   ! brouard     1: /* $Id: imach.c,v 1.232 2016/08/22 14:20:21 brouard Exp $
1.126     brouard     2:   $State: Exp $
1.163     brouard     3:   $Log: imach.c,v $
1.233   ! brouard     4:   Revision 1.232  2016/08/22 14:20:21  brouard
        !             5:   Summary: not working
        !             6: 
1.232     brouard     7:   Revision 1.231  2016/08/22 07:17:15  brouard
                      8:   Summary: not working
                      9: 
1.231     brouard    10:   Revision 1.230  2016/08/22 06:55:53  brouard
                     11:   Summary: Not working
                     12: 
1.230     brouard    13:   Revision 1.229  2016/07/23 09:45:53  brouard
                     14:   Summary: Completing for func too
                     15: 
1.229     brouard    16:   Revision 1.228  2016/07/22 17:45:30  brouard
                     17:   Summary: Fixing some arrays, still debugging
                     18: 
1.227     brouard    19:   Revision 1.226  2016/07/12 18:42:34  brouard
                     20:   Summary: temp
                     21: 
1.226     brouard    22:   Revision 1.225  2016/07/12 08:40:03  brouard
                     23:   Summary: saving but not running
                     24: 
1.225     brouard    25:   Revision 1.224  2016/07/01 13:16:01  brouard
                     26:   Summary: Fixes
                     27: 
1.224     brouard    28:   Revision 1.223  2016/02/19 09:23:35  brouard
                     29:   Summary: temporary
                     30: 
1.223     brouard    31:   Revision 1.222  2016/02/17 08:14:50  brouard
                     32:   Summary: Probably last 0.98 stable version 0.98r6
                     33: 
1.222     brouard    34:   Revision 1.221  2016/02/15 23:35:36  brouard
                     35:   Summary: minor bug
                     36: 
1.220     brouard    37:   Revision 1.219  2016/02/15 00:48:12  brouard
                     38:   *** empty log message ***
                     39: 
1.219     brouard    40:   Revision 1.218  2016/02/12 11:29:23  brouard
                     41:   Summary: 0.99 Back projections
                     42: 
1.218     brouard    43:   Revision 1.217  2015/12/23 17:18:31  brouard
                     44:   Summary: Experimental backcast
                     45: 
1.217     brouard    46:   Revision 1.216  2015/12/18 17:32:11  brouard
                     47:   Summary: 0.98r4 Warning and status=-2
                     48: 
                     49:   Version 0.98r4 is now:
                     50:    - displaying an error when status is -1, date of interview unknown and date of death known;
                     51:    - permitting a status -2 when the vital status is unknown at a known date of right truncation.
                     52:   Older changes concerning s=-2, dating from 2005 have been supersed.
                     53: 
1.216     brouard    54:   Revision 1.215  2015/12/16 08:52:24  brouard
                     55:   Summary: 0.98r4 working
                     56: 
1.215     brouard    57:   Revision 1.214  2015/12/16 06:57:54  brouard
                     58:   Summary: temporary not working
                     59: 
1.214     brouard    60:   Revision 1.213  2015/12/11 18:22:17  brouard
                     61:   Summary: 0.98r4
                     62: 
1.213     brouard    63:   Revision 1.212  2015/11/21 12:47:24  brouard
                     64:   Summary: minor typo
                     65: 
1.212     brouard    66:   Revision 1.211  2015/11/21 12:41:11  brouard
                     67:   Summary: 0.98r3 with some graph of projected cross-sectional
                     68: 
                     69:   Author: Nicolas Brouard
                     70: 
1.211     brouard    71:   Revision 1.210  2015/11/18 17:41:20  brouard
                     72:   Summary: Start working on projected prevalences
                     73: 
1.210     brouard    74:   Revision 1.209  2015/11/17 22:12:03  brouard
                     75:   Summary: Adding ftolpl parameter
                     76:   Author: N Brouard
                     77: 
                     78:   We had difficulties to get smoothed confidence intervals. It was due
                     79:   to the period prevalence which wasn't computed accurately. The inner
                     80:   parameter ftolpl is now an outer parameter of the .imach parameter
                     81:   file after estepm. If ftolpl is small 1.e-4 and estepm too,
                     82:   computation are long.
                     83: 
1.209     brouard    84:   Revision 1.208  2015/11/17 14:31:57  brouard
                     85:   Summary: temporary
                     86: 
1.208     brouard    87:   Revision 1.207  2015/10/27 17:36:57  brouard
                     88:   *** empty log message ***
                     89: 
1.207     brouard    90:   Revision 1.206  2015/10/24 07:14:11  brouard
                     91:   *** empty log message ***
                     92: 
1.206     brouard    93:   Revision 1.205  2015/10/23 15:50:53  brouard
                     94:   Summary: 0.98r3 some clarification for graphs on likelihood contributions
                     95: 
1.205     brouard    96:   Revision 1.204  2015/10/01 16:20:26  brouard
                     97:   Summary: Some new graphs of contribution to likelihood
                     98: 
1.204     brouard    99:   Revision 1.203  2015/09/30 17:45:14  brouard
                    100:   Summary: looking at better estimation of the hessian
                    101: 
                    102:   Also a better criteria for convergence to the period prevalence And
                    103:   therefore adding the number of years needed to converge. (The
                    104:   prevalence in any alive state shold sum to one
                    105: 
1.203     brouard   106:   Revision 1.202  2015/09/22 19:45:16  brouard
                    107:   Summary: Adding some overall graph on contribution to likelihood. Might change
                    108: 
1.202     brouard   109:   Revision 1.201  2015/09/15 17:34:58  brouard
                    110:   Summary: 0.98r0
                    111: 
                    112:   - Some new graphs like suvival functions
                    113:   - Some bugs fixed like model=1+age+V2.
                    114: 
1.201     brouard   115:   Revision 1.200  2015/09/09 16:53:55  brouard
                    116:   Summary: Big bug thanks to Flavia
                    117: 
                    118:   Even model=1+age+V2. did not work anymore
                    119: 
1.200     brouard   120:   Revision 1.199  2015/09/07 14:09:23  brouard
                    121:   Summary: 0.98q6 changing default small png format for graph to vectorized svg.
                    122: 
1.199     brouard   123:   Revision 1.198  2015/09/03 07:14:39  brouard
                    124:   Summary: 0.98q5 Flavia
                    125: 
1.198     brouard   126:   Revision 1.197  2015/09/01 18:24:39  brouard
                    127:   *** empty log message ***
                    128: 
1.197     brouard   129:   Revision 1.196  2015/08/18 23:17:52  brouard
                    130:   Summary: 0.98q5
                    131: 
1.196     brouard   132:   Revision 1.195  2015/08/18 16:28:39  brouard
                    133:   Summary: Adding a hack for testing purpose
                    134: 
                    135:   After reading the title, ftol and model lines, if the comment line has
                    136:   a q, starting with #q, the answer at the end of the run is quit. It
                    137:   permits to run test files in batch with ctest. The former workaround was
                    138:   $ echo q | imach foo.imach
                    139: 
1.195     brouard   140:   Revision 1.194  2015/08/18 13:32:00  brouard
                    141:   Summary:  Adding error when the covariance matrix doesn't contain the exact number of lines required by the model line.
                    142: 
1.194     brouard   143:   Revision 1.193  2015/08/04 07:17:42  brouard
                    144:   Summary: 0.98q4
                    145: 
1.193     brouard   146:   Revision 1.192  2015/07/16 16:49:02  brouard
                    147:   Summary: Fixing some outputs
                    148: 
1.192     brouard   149:   Revision 1.191  2015/07/14 10:00:33  brouard
                    150:   Summary: Some fixes
                    151: 
1.191     brouard   152:   Revision 1.190  2015/05/05 08:51:13  brouard
                    153:   Summary: Adding digits in output parameters (7 digits instead of 6)
                    154: 
                    155:   Fix 1+age+.
                    156: 
1.190     brouard   157:   Revision 1.189  2015/04/30 14:45:16  brouard
                    158:   Summary: 0.98q2
                    159: 
1.189     brouard   160:   Revision 1.188  2015/04/30 08:27:53  brouard
                    161:   *** empty log message ***
                    162: 
1.188     brouard   163:   Revision 1.187  2015/04/29 09:11:15  brouard
                    164:   *** empty log message ***
                    165: 
1.187     brouard   166:   Revision 1.186  2015/04/23 12:01:52  brouard
                    167:   Summary: V1*age is working now, version 0.98q1
                    168: 
                    169:   Some codes had been disabled in order to simplify and Vn*age was
                    170:   working in the optimization phase, ie, giving correct MLE parameters,
                    171:   but, as usual, outputs were not correct and program core dumped.
                    172: 
1.186     brouard   173:   Revision 1.185  2015/03/11 13:26:42  brouard
                    174:   Summary: Inclusion of compile and links command line for Intel Compiler
                    175: 
1.185     brouard   176:   Revision 1.184  2015/03/11 11:52:39  brouard
                    177:   Summary: Back from Windows 8. Intel Compiler
                    178: 
1.184     brouard   179:   Revision 1.183  2015/03/10 20:34:32  brouard
                    180:   Summary: 0.98q0, trying with directest, mnbrak fixed
                    181: 
                    182:   We use directest instead of original Powell test; probably no
                    183:   incidence on the results, but better justifications;
                    184:   We fixed Numerical Recipes mnbrak routine which was wrong and gave
                    185:   wrong results.
                    186: 
1.183     brouard   187:   Revision 1.182  2015/02/12 08:19:57  brouard
                    188:   Summary: Trying to keep directest which seems simpler and more general
                    189:   Author: Nicolas Brouard
                    190: 
1.182     brouard   191:   Revision 1.181  2015/02/11 23:22:24  brouard
                    192:   Summary: Comments on Powell added
                    193: 
                    194:   Author:
                    195: 
1.181     brouard   196:   Revision 1.180  2015/02/11 17:33:45  brouard
                    197:   Summary: Finishing move from main to function (hpijx and prevalence_limit)
                    198: 
1.180     brouard   199:   Revision 1.179  2015/01/04 09:57:06  brouard
                    200:   Summary: back to OS/X
                    201: 
1.179     brouard   202:   Revision 1.178  2015/01/04 09:35:48  brouard
                    203:   *** empty log message ***
                    204: 
1.178     brouard   205:   Revision 1.177  2015/01/03 18:40:56  brouard
                    206:   Summary: Still testing ilc32 on OSX
                    207: 
1.177     brouard   208:   Revision 1.176  2015/01/03 16:45:04  brouard
                    209:   *** empty log message ***
                    210: 
1.176     brouard   211:   Revision 1.175  2015/01/03 16:33:42  brouard
                    212:   *** empty log message ***
                    213: 
1.175     brouard   214:   Revision 1.174  2015/01/03 16:15:49  brouard
                    215:   Summary: Still in cross-compilation
                    216: 
1.174     brouard   217:   Revision 1.173  2015/01/03 12:06:26  brouard
                    218:   Summary: trying to detect cross-compilation
                    219: 
1.173     brouard   220:   Revision 1.172  2014/12/27 12:07:47  brouard
                    221:   Summary: Back from Visual Studio and Intel, options for compiling for Windows XP
                    222: 
1.172     brouard   223:   Revision 1.171  2014/12/23 13:26:59  brouard
                    224:   Summary: Back from Visual C
                    225: 
                    226:   Still problem with utsname.h on Windows
                    227: 
1.171     brouard   228:   Revision 1.170  2014/12/23 11:17:12  brouard
                    229:   Summary: Cleaning some \%% back to %%
                    230: 
                    231:   The escape was mandatory for a specific compiler (which one?), but too many warnings.
                    232: 
1.170     brouard   233:   Revision 1.169  2014/12/22 23:08:31  brouard
                    234:   Summary: 0.98p
                    235: 
                    236:   Outputs some informations on compiler used, OS etc. Testing on different platforms.
                    237: 
1.169     brouard   238:   Revision 1.168  2014/12/22 15:17:42  brouard
1.170     brouard   239:   Summary: update
1.169     brouard   240: 
1.168     brouard   241:   Revision 1.167  2014/12/22 13:50:56  brouard
                    242:   Summary: Testing uname and compiler version and if compiled 32 or 64
                    243: 
                    244:   Testing on Linux 64
                    245: 
1.167     brouard   246:   Revision 1.166  2014/12/22 11:40:47  brouard
                    247:   *** empty log message ***
                    248: 
1.166     brouard   249:   Revision 1.165  2014/12/16 11:20:36  brouard
                    250:   Summary: After compiling on Visual C
                    251: 
                    252:   * imach.c (Module): Merging 1.61 to 1.162
                    253: 
1.165     brouard   254:   Revision 1.164  2014/12/16 10:52:11  brouard
                    255:   Summary: Merging with Visual C after suppressing some warnings for unused variables. Also fixing Saito's bug 0.98Xn
                    256: 
                    257:   * imach.c (Module): Merging 1.61 to 1.162
                    258: 
1.164     brouard   259:   Revision 1.163  2014/12/16 10:30:11  brouard
                    260:   * imach.c (Module): Merging 1.61 to 1.162
                    261: 
1.163     brouard   262:   Revision 1.162  2014/09/25 11:43:39  brouard
                    263:   Summary: temporary backup 0.99!
                    264: 
1.162     brouard   265:   Revision 1.1  2014/09/16 11:06:58  brouard
                    266:   Summary: With some code (wrong) for nlopt
                    267: 
                    268:   Author:
                    269: 
                    270:   Revision 1.161  2014/09/15 20:41:41  brouard
                    271:   Summary: Problem with macro SQR on Intel compiler
                    272: 
1.161     brouard   273:   Revision 1.160  2014/09/02 09:24:05  brouard
                    274:   *** empty log message ***
                    275: 
1.160     brouard   276:   Revision 1.159  2014/09/01 10:34:10  brouard
                    277:   Summary: WIN32
                    278:   Author: Brouard
                    279: 
1.159     brouard   280:   Revision 1.158  2014/08/27 17:11:51  brouard
                    281:   *** empty log message ***
                    282: 
1.158     brouard   283:   Revision 1.157  2014/08/27 16:26:55  brouard
                    284:   Summary: Preparing windows Visual studio version
                    285:   Author: Brouard
                    286: 
                    287:   In order to compile on Visual studio, time.h is now correct and time_t
                    288:   and tm struct should be used. difftime should be used but sometimes I
                    289:   just make the differences in raw time format (time(&now).
                    290:   Trying to suppress #ifdef LINUX
                    291:   Add xdg-open for __linux in order to open default browser.
                    292: 
1.157     brouard   293:   Revision 1.156  2014/08/25 20:10:10  brouard
                    294:   *** empty log message ***
                    295: 
1.156     brouard   296:   Revision 1.155  2014/08/25 18:32:34  brouard
                    297:   Summary: New compile, minor changes
                    298:   Author: Brouard
                    299: 
1.155     brouard   300:   Revision 1.154  2014/06/20 17:32:08  brouard
                    301:   Summary: Outputs now all graphs of convergence to period prevalence
                    302: 
1.154     brouard   303:   Revision 1.153  2014/06/20 16:45:46  brouard
                    304:   Summary: If 3 live state, convergence to period prevalence on same graph
                    305:   Author: Brouard
                    306: 
1.153     brouard   307:   Revision 1.152  2014/06/18 17:54:09  brouard
                    308:   Summary: open browser, use gnuplot on same dir than imach if not found in the path
                    309: 
1.152     brouard   310:   Revision 1.151  2014/06/18 16:43:30  brouard
                    311:   *** empty log message ***
                    312: 
1.151     brouard   313:   Revision 1.150  2014/06/18 16:42:35  brouard
                    314:   Summary: If gnuplot is not in the path try on same directory than imach binary (OSX)
                    315:   Author: brouard
                    316: 
1.150     brouard   317:   Revision 1.149  2014/06/18 15:51:14  brouard
                    318:   Summary: Some fixes in parameter files errors
                    319:   Author: Nicolas Brouard
                    320: 
1.149     brouard   321:   Revision 1.148  2014/06/17 17:38:48  brouard
                    322:   Summary: Nothing new
                    323:   Author: Brouard
                    324: 
                    325:   Just a new packaging for OS/X version 0.98nS
                    326: 
1.148     brouard   327:   Revision 1.147  2014/06/16 10:33:11  brouard
                    328:   *** empty log message ***
                    329: 
1.147     brouard   330:   Revision 1.146  2014/06/16 10:20:28  brouard
                    331:   Summary: Merge
                    332:   Author: Brouard
                    333: 
                    334:   Merge, before building revised version.
                    335: 
1.146     brouard   336:   Revision 1.145  2014/06/10 21:23:15  brouard
                    337:   Summary: Debugging with valgrind
                    338:   Author: Nicolas Brouard
                    339: 
                    340:   Lot of changes in order to output the results with some covariates
                    341:   After the Edimburgh REVES conference 2014, it seems mandatory to
                    342:   improve the code.
                    343:   No more memory valgrind error but a lot has to be done in order to
                    344:   continue the work of splitting the code into subroutines.
                    345:   Also, decodemodel has been improved. Tricode is still not
                    346:   optimal. nbcode should be improved. Documentation has been added in
                    347:   the source code.
                    348: 
1.144     brouard   349:   Revision 1.143  2014/01/26 09:45:38  brouard
                    350:   Summary: Version 0.98nR (to be improved, but gives same optimization results as 0.98k. Nice, promising
                    351: 
                    352:   * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
                    353:   (Module): Version 0.98nR Running ok, but output format still only works for three covariates.
                    354: 
1.143     brouard   355:   Revision 1.142  2014/01/26 03:57:36  brouard
                    356:   Summary: gnuplot changed plot w l 1 has to be changed to plot w l lt 2
                    357: 
                    358:   * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
                    359: 
1.142     brouard   360:   Revision 1.141  2014/01/26 02:42:01  brouard
                    361:   * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
                    362: 
1.141     brouard   363:   Revision 1.140  2011/09/02 10:37:54  brouard
                    364:   Summary: times.h is ok with mingw32 now.
                    365: 
1.140     brouard   366:   Revision 1.139  2010/06/14 07:50:17  brouard
                    367:   After the theft of my laptop, I probably lost some lines of codes which were not uploaded to the CVS tree.
                    368:   I remember having already fixed agemin agemax which are pointers now but not cvs saved.
                    369: 
1.139     brouard   370:   Revision 1.138  2010/04/30 18:19:40  brouard
                    371:   *** empty log message ***
                    372: 
1.138     brouard   373:   Revision 1.137  2010/04/29 18:11:38  brouard
                    374:   (Module): Checking covariates for more complex models
                    375:   than V1+V2. A lot of change to be done. Unstable.
                    376: 
1.137     brouard   377:   Revision 1.136  2010/04/26 20:30:53  brouard
                    378:   (Module): merging some libgsl code. Fixing computation
                    379:   of likelione (using inter/intrapolation if mle = 0) in order to
                    380:   get same likelihood as if mle=1.
                    381:   Some cleaning of code and comments added.
                    382: 
1.136     brouard   383:   Revision 1.135  2009/10/29 15:33:14  brouard
                    384:   (Module): Now imach stops if date of birth, at least year of birth, is not given. Some cleaning of the code.
                    385: 
1.135     brouard   386:   Revision 1.134  2009/10/29 13:18:53  brouard
                    387:   (Module): Now imach stops if date of birth, at least year of birth, is not given. Some cleaning of the code.
                    388: 
1.134     brouard   389:   Revision 1.133  2009/07/06 10:21:25  brouard
                    390:   just nforces
                    391: 
1.133     brouard   392:   Revision 1.132  2009/07/06 08:22:05  brouard
                    393:   Many tings
                    394: 
1.132     brouard   395:   Revision 1.131  2009/06/20 16:22:47  brouard
                    396:   Some dimensions resccaled
                    397: 
1.131     brouard   398:   Revision 1.130  2009/05/26 06:44:34  brouard
                    399:   (Module): Max Covariate is now set to 20 instead of 8. A
                    400:   lot of cleaning with variables initialized to 0. Trying to make
                    401:   V2+V3*age+V1+V4 strb=V3*age+V1+V4 working better.
                    402: 
1.130     brouard   403:   Revision 1.129  2007/08/31 13:49:27  lievre
                    404:   Modification of the way of exiting when the covariate is not binary in order to see on the window the error message before exiting
                    405: 
1.129     lievre    406:   Revision 1.128  2006/06/30 13:02:05  brouard
                    407:   (Module): Clarifications on computing e.j
                    408: 
1.128     brouard   409:   Revision 1.127  2006/04/28 18:11:50  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:   (Module): In order to speed up (in case of numerous covariates) we
                    414:   compute health expectancies (without variances) in a first step
                    415:   and then all the health expectancies with variances or standard
                    416:   deviation (needs data from the Hessian matrices) which slows the
                    417:   computation.
                    418:   In the future we should be able to stop the program is only health
                    419:   expectancies and graph are needed without standard deviations.
                    420: 
1.127     brouard   421:   Revision 1.126  2006/04/28 17:23:28  brouard
                    422:   (Module): Yes the sum of survivors was wrong since
                    423:   imach-114 because nhstepm was no more computed in the age
                    424:   loop. Now we define nhstepma in the age loop.
                    425:   Version 0.98h
                    426: 
1.126     brouard   427:   Revision 1.125  2006/04/04 15:20:31  lievre
                    428:   Errors in calculation of health expectancies. Age was not initialized.
                    429:   Forecasting file added.
                    430: 
                    431:   Revision 1.124  2006/03/22 17:13:53  lievre
                    432:   Parameters are printed with %lf instead of %f (more numbers after the comma).
                    433:   The log-likelihood is printed in the log file
                    434: 
                    435:   Revision 1.123  2006/03/20 10:52:43  brouard
                    436:   * imach.c (Module): <title> changed, corresponds to .htm file
                    437:   name. <head> headers where missing.
                    438: 
                    439:   * imach.c (Module): Weights can have a decimal point as for
                    440:   English (a comma might work with a correct LC_NUMERIC environment,
                    441:   otherwise the weight is truncated).
                    442:   Modification of warning when the covariates values are not 0 or
                    443:   1.
                    444:   Version 0.98g
                    445: 
                    446:   Revision 1.122  2006/03/20 09:45:41  brouard
                    447:   (Module): Weights can have a decimal point as for
                    448:   English (a comma might work with a correct LC_NUMERIC environment,
                    449:   otherwise the weight is truncated).
                    450:   Modification of warning when the covariates values are not 0 or
                    451:   1.
                    452:   Version 0.98g
                    453: 
                    454:   Revision 1.121  2006/03/16 17:45:01  lievre
                    455:   * imach.c (Module): Comments concerning covariates added
                    456: 
                    457:   * imach.c (Module): refinements in the computation of lli if
                    458:   status=-2 in order to have more reliable computation if stepm is
                    459:   not 1 month. Version 0.98f
                    460: 
                    461:   Revision 1.120  2006/03/16 15:10:38  lievre
                    462:   (Module): refinements in the computation of lli if
                    463:   status=-2 in order to have more reliable computation if stepm is
                    464:   not 1 month. Version 0.98f
                    465: 
                    466:   Revision 1.119  2006/03/15 17:42:26  brouard
                    467:   (Module): Bug if status = -2, the loglikelihood was
                    468:   computed as likelihood omitting the logarithm. Version O.98e
                    469: 
                    470:   Revision 1.118  2006/03/14 18:20:07  brouard
                    471:   (Module): varevsij Comments added explaining the second
                    472:   table of variances if popbased=1 .
                    473:   (Module): Covariances of eij, ekl added, graphs fixed, new html link.
                    474:   (Module): Function pstamp added
                    475:   (Module): Version 0.98d
                    476: 
                    477:   Revision 1.117  2006/03/14 17:16:22  brouard
                    478:   (Module): varevsij Comments added explaining the second
                    479:   table of variances if popbased=1 .
                    480:   (Module): Covariances of eij, ekl added, graphs fixed, new html link.
                    481:   (Module): Function pstamp added
                    482:   (Module): Version 0.98d
                    483: 
                    484:   Revision 1.116  2006/03/06 10:29:27  brouard
                    485:   (Module): Variance-covariance wrong links and
                    486:   varian-covariance of ej. is needed (Saito).
                    487: 
                    488:   Revision 1.115  2006/02/27 12:17:45  brouard
                    489:   (Module): One freematrix added in mlikeli! 0.98c
                    490: 
                    491:   Revision 1.114  2006/02/26 12:57:58  brouard
                    492:   (Module): Some improvements in processing parameter
                    493:   filename with strsep.
                    494: 
                    495:   Revision 1.113  2006/02/24 14:20:24  brouard
                    496:   (Module): Memory leaks checks with valgrind and:
                    497:   datafile was not closed, some imatrix were not freed and on matrix
                    498:   allocation too.
                    499: 
                    500:   Revision 1.112  2006/01/30 09:55:26  brouard
                    501:   (Module): Back to gnuplot.exe instead of wgnuplot.exe
                    502: 
                    503:   Revision 1.111  2006/01/25 20:38:18  brouard
                    504:   (Module): Lots of cleaning and bugs added (Gompertz)
                    505:   (Module): Comments can be added in data file. Missing date values
                    506:   can be a simple dot '.'.
                    507: 
                    508:   Revision 1.110  2006/01/25 00:51:50  brouard
                    509:   (Module): Lots of cleaning and bugs added (Gompertz)
                    510: 
                    511:   Revision 1.109  2006/01/24 19:37:15  brouard
                    512:   (Module): Comments (lines starting with a #) are allowed in data.
                    513: 
                    514:   Revision 1.108  2006/01/19 18:05:42  lievre
                    515:   Gnuplot problem appeared...
                    516:   To be fixed
                    517: 
                    518:   Revision 1.107  2006/01/19 16:20:37  brouard
                    519:   Test existence of gnuplot in imach path
                    520: 
                    521:   Revision 1.106  2006/01/19 13:24:36  brouard
                    522:   Some cleaning and links added in html output
                    523: 
                    524:   Revision 1.105  2006/01/05 20:23:19  lievre
                    525:   *** empty log message ***
                    526: 
                    527:   Revision 1.104  2005/09/30 16:11:43  lievre
                    528:   (Module): sump fixed, loop imx fixed, and simplifications.
                    529:   (Module): If the status is missing at the last wave but we know
                    530:   that the person is alive, then we can code his/her status as -2
                    531:   (instead of missing=-1 in earlier versions) and his/her
                    532:   contributions to the likelihood is 1 - Prob of dying from last
                    533:   health status (= 1-p13= p11+p12 in the easiest case of somebody in
                    534:   the healthy state at last known wave). Version is 0.98
                    535: 
                    536:   Revision 1.103  2005/09/30 15:54:49  lievre
                    537:   (Module): sump fixed, loop imx fixed, and simplifications.
                    538: 
                    539:   Revision 1.102  2004/09/15 17:31:30  brouard
                    540:   Add the possibility to read data file including tab characters.
                    541: 
                    542:   Revision 1.101  2004/09/15 10:38:38  brouard
                    543:   Fix on curr_time
                    544: 
                    545:   Revision 1.100  2004/07/12 18:29:06  brouard
                    546:   Add version for Mac OS X. Just define UNIX in Makefile
                    547: 
                    548:   Revision 1.99  2004/06/05 08:57:40  brouard
                    549:   *** empty log message ***
                    550: 
                    551:   Revision 1.98  2004/05/16 15:05:56  brouard
                    552:   New version 0.97 . First attempt to estimate force of mortality
                    553:   directly from the data i.e. without the need of knowing the health
                    554:   state at each age, but using a Gompertz model: log u =a + b*age .
                    555:   This is the basic analysis of mortality and should be done before any
                    556:   other analysis, in order to test if the mortality estimated from the
                    557:   cross-longitudinal survey is different from the mortality estimated
                    558:   from other sources like vital statistic data.
                    559: 
                    560:   The same imach parameter file can be used but the option for mle should be -3.
                    561: 
1.133     brouard   562:   Agnès, who wrote this part of the code, tried to keep most of the
1.126     brouard   563:   former routines in order to include the new code within the former code.
                    564: 
                    565:   The output is very simple: only an estimate of the intercept and of
                    566:   the slope with 95% confident intervals.
                    567: 
                    568:   Current limitations:
                    569:   A) Even if you enter covariates, i.e. with the
                    570:   model= V1+V2 equation for example, the programm does only estimate a unique global model without covariates.
                    571:   B) There is no computation of Life Expectancy nor Life Table.
                    572: 
                    573:   Revision 1.97  2004/02/20 13:25:42  lievre
                    574:   Version 0.96d. Population forecasting command line is (temporarily)
                    575:   suppressed.
                    576: 
                    577:   Revision 1.96  2003/07/15 15:38:55  brouard
                    578:   * imach.c (Repository): Errors in subdirf, 2, 3 while printing tmpout is
                    579:   rewritten within the same printf. Workaround: many printfs.
                    580: 
                    581:   Revision 1.95  2003/07/08 07:54:34  brouard
                    582:   * imach.c (Repository):
                    583:   (Repository): Using imachwizard code to output a more meaningful covariance
                    584:   matrix (cov(a12,c31) instead of numbers.
                    585: 
                    586:   Revision 1.94  2003/06/27 13:00:02  brouard
                    587:   Just cleaning
                    588: 
                    589:   Revision 1.93  2003/06/25 16:33:55  brouard
                    590:   (Module): On windows (cygwin) function asctime_r doesn't
                    591:   exist so I changed back to asctime which exists.
                    592:   (Module): Version 0.96b
                    593: 
                    594:   Revision 1.92  2003/06/25 16:30:45  brouard
                    595:   (Module): On windows (cygwin) function asctime_r doesn't
                    596:   exist so I changed back to asctime which exists.
                    597: 
                    598:   Revision 1.91  2003/06/25 15:30:29  brouard
                    599:   * imach.c (Repository): Duplicated warning errors corrected.
                    600:   (Repository): Elapsed time after each iteration is now output. It
                    601:   helps to forecast when convergence will be reached. Elapsed time
                    602:   is stamped in powell.  We created a new html file for the graphs
                    603:   concerning matrix of covariance. It has extension -cov.htm.
                    604: 
                    605:   Revision 1.90  2003/06/24 12:34:15  brouard
                    606:   (Module): Some bugs corrected for windows. Also, when
                    607:   mle=-1 a template is output in file "or"mypar.txt with the design
                    608:   of the covariance matrix to be input.
                    609: 
                    610:   Revision 1.89  2003/06/24 12:30:52  brouard
                    611:   (Module): Some bugs corrected for windows. Also, when
                    612:   mle=-1 a template is output in file "or"mypar.txt with the design
                    613:   of the covariance matrix to be input.
                    614: 
                    615:   Revision 1.88  2003/06/23 17:54:56  brouard
                    616:   * 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.
                    617: 
                    618:   Revision 1.87  2003/06/18 12:26:01  brouard
                    619:   Version 0.96
                    620: 
                    621:   Revision 1.86  2003/06/17 20:04:08  brouard
                    622:   (Module): Change position of html and gnuplot routines and added
                    623:   routine fileappend.
                    624: 
                    625:   Revision 1.85  2003/06/17 13:12:43  brouard
                    626:   * imach.c (Repository): Check when date of death was earlier that
                    627:   current date of interview. It may happen when the death was just
                    628:   prior to the death. In this case, dh was negative and likelihood
                    629:   was wrong (infinity). We still send an "Error" but patch by
                    630:   assuming that the date of death was just one stepm after the
                    631:   interview.
                    632:   (Repository): Because some people have very long ID (first column)
                    633:   we changed int to long in num[] and we added a new lvector for
                    634:   memory allocation. But we also truncated to 8 characters (left
                    635:   truncation)
                    636:   (Repository): No more line truncation errors.
                    637: 
                    638:   Revision 1.84  2003/06/13 21:44:43  brouard
                    639:   * imach.c (Repository): Replace "freqsummary" at a correct
                    640:   place. It differs from routine "prevalence" which may be called
                    641:   many times. Probs is memory consuming and must be used with
                    642:   parcimony.
                    643:   Version 0.95a3 (should output exactly the same maximization than 0.8a2)
                    644: 
                    645:   Revision 1.83  2003/06/10 13:39:11  lievre
                    646:   *** empty log message ***
                    647: 
                    648:   Revision 1.82  2003/06/05 15:57:20  brouard
                    649:   Add log in  imach.c and  fullversion number is now printed.
                    650: 
                    651: */
                    652: /*
                    653:    Interpolated Markov Chain
                    654: 
                    655:   Short summary of the programme:
                    656:   
1.227     brouard   657:   This program computes Healthy Life Expectancies or State-specific
                    658:   (if states aren't health statuses) Expectancies from
                    659:   cross-longitudinal data. Cross-longitudinal data consist in: 
                    660: 
                    661:   -1- a first survey ("cross") where individuals from different ages
                    662:   are interviewed on their health status or degree of disability (in
                    663:   the case of a health survey which is our main interest)
                    664: 
                    665:   -2- at least a second wave of interviews ("longitudinal") which
                    666:   measure each change (if any) in individual health status.  Health
                    667:   expectancies are computed from the time spent in each health state
                    668:   according to a model. More health states you consider, more time is
                    669:   necessary to reach the Maximum Likelihood of the parameters involved
                    670:   in the model.  The simplest model is the multinomial logistic model
                    671:   where pij is the probability to be observed in state j at the second
                    672:   wave conditional to be observed in state i at the first
                    673:   wave. Therefore the model is: log(pij/pii)= aij + bij*age+ cij*sex +
                    674:   etc , where 'age' is age and 'sex' is a covariate. If you want to
                    675:   have a more complex model than "constant and age", you should modify
                    676:   the program where the markup *Covariates have to be included here
                    677:   again* invites you to do it.  More covariates you add, slower the
1.126     brouard   678:   convergence.
                    679: 
                    680:   The advantage of this computer programme, compared to a simple
                    681:   multinomial logistic model, is clear when the delay between waves is not
                    682:   identical for each individual. Also, if a individual missed an
                    683:   intermediate interview, the information is lost, but taken into
                    684:   account using an interpolation or extrapolation.  
                    685: 
                    686:   hPijx is the probability to be observed in state i at age x+h
                    687:   conditional to the observed state i at age x. The delay 'h' can be
                    688:   split into an exact number (nh*stepm) of unobserved intermediate
                    689:   states. This elementary transition (by month, quarter,
                    690:   semester or year) is modelled as a multinomial logistic.  The hPx
                    691:   matrix is simply the matrix product of nh*stepm elementary matrices
                    692:   and the contribution of each individual to the likelihood is simply
                    693:   hPijx.
                    694: 
                    695:   Also this programme outputs the covariance matrix of the parameters but also
1.218     brouard   696:   of the life expectancies. It also computes the period (stable) prevalence.
                    697: 
                    698: Back prevalence and projections:
1.227     brouard   699: 
                    700:  - back_prevalence_limit(double *p, double **bprlim, double ageminpar,
                    701:    double agemaxpar, double ftolpl, int *ncvyearp, double
                    702:    dateprev1,double dateprev2, int firstpass, int lastpass, int
                    703:    mobilavproj)
                    704: 
                    705:     Computes the back prevalence limit for any combination of
                    706:     covariate values k at any age between ageminpar and agemaxpar and
                    707:     returns it in **bprlim. In the loops,
                    708: 
                    709:    - **bprevalim(**bprlim, ***mobaverage, nlstate, *p, age, **oldm,
                    710:        **savm, **dnewm, **doldm, **dsavm, ftolpl, ncvyearp, k);
                    711: 
                    712:    - hBijx Back Probability to be in state i at age x-h being in j at x
1.218     brouard   713:    Computes for any combination of covariates k and any age between bage and fage 
                    714:    p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                    715:                        oldm=oldms;savm=savms;
1.227     brouard   716: 
                    717:    - hbxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);
1.218     brouard   718:      Computes the transition matrix starting at age 'age' over
                    719:      'nhstepm*hstepm*stepm' months (i.e. until
                    720:      age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying
1.227     brouard   721:      nhstepm*hstepm matrices. 
                    722: 
                    723:      Returns p3mat[i][j][h] after calling
                    724:      p3mat[i][j][h]=matprod2(newm,
                    725:      bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent, dnewm, doldm,
                    726:      dsavm,ij),\ 1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath,
                    727:      oldm);
1.226     brouard   728: 
                    729: Important routines
                    730: 
                    731: - func (or funcone), computes logit (pij) distinguishing
                    732:   o fixed variables (single or product dummies or quantitative);
                    733:   o varying variables by:
                    734:    (1) wave (single, product dummies, quantitative), 
                    735:    (2) by age (can be month) age (done), age*age (done), age*Vn where Vn can be:
                    736:        % fixed dummy (treated) or quantitative (not done because time-consuming);
                    737:        % varying dummy (not done) or quantitative (not done);
                    738: - Tricode which tests the modality of dummy variables (in order to warn with wrong or empty modalities)
                    739:   and returns the number of efficient covariates cptcoveff and modalities nbcode[Tvar[k]][1]= 0 and nbcode[Tvar[k]][2]= 1 usually.
                    740: - printinghtml which outputs results like life expectancy in and from a state for a combination of modalities of dummy variables
                    741:   o There are 2*cptcoveff combinations of (0,1) for cptcoveff variables. Outputting only combinations with people, éliminating 1 1 if
                    742:     race White (0 0), Black vs White (1 0), Hispanic (0 1) and 1 1 being meaningless.
1.218     brouard   743: 
1.226     brouard   744: 
                    745:   
1.133     brouard   746:   Authors: Nicolas Brouard (brouard@ined.fr) and Agnès Lièvre (lievre@ined.fr).
                    747:            Institut national d'études démographiques, Paris.
1.126     brouard   748:   This software have been partly granted by Euro-REVES, a concerted action
                    749:   from the European Union.
                    750:   It is copyrighted identically to a GNU software product, ie programme and
                    751:   software can be distributed freely for non commercial use. Latest version
                    752:   can be accessed at http://euroreves.ined.fr/imach .
                    753: 
                    754:   Help to debug: LD_PRELOAD=/usr/local/lib/libnjamd.so ./imach foo.imach
                    755:   or better on gdb : set env LD_PRELOAD=/usr/local/lib/libnjamd.so
                    756:   
                    757:   **********************************************************************/
                    758: /*
                    759:   main
                    760:   read parameterfile
                    761:   read datafile
                    762:   concatwav
                    763:   freqsummary
                    764:   if (mle >= 1)
                    765:     mlikeli
                    766:   print results files
                    767:   if mle==1 
                    768:      computes hessian
                    769:   read end of parameter file: agemin, agemax, bage, fage, estepm
                    770:       begin-prev-date,...
                    771:   open gnuplot file
                    772:   open html file
1.145     brouard   773:   period (stable) prevalence      | pl_nom    1-1 2-2 etc by covariate
                    774:    for age prevalim()             | #****** V1=0  V2=1  V3=1  V4=0 ******
                    775:                                   | 65 1 0 2 1 3 1 4 0  0.96326 0.03674
                    776:     freexexit2 possible for memory heap.
                    777: 
                    778:   h Pij x                         | pij_nom  ficrestpij
                    779:    # Cov Agex agex+h hpijx with i,j= 1-1 1-2     1-3     2-1     2-2     2-3
                    780:        1  85   85    1.00000             0.00000 0.00000 0.00000 1.00000 0.00000
                    781:        1  85   86    0.68299             0.22291 0.09410 0.71093 0.00000 0.28907
                    782: 
                    783:        1  65   99    0.00364             0.00322 0.99314 0.00350 0.00310 0.99340
                    784:        1  65  100    0.00214             0.00204 0.99581 0.00206 0.00196 0.99597
                    785:   variance of p one-step probabilities varprob  | prob_nom   ficresprob #One-step probabilities and stand. devi in ()
                    786:    Standard deviation of one-step probabilities | probcor_nom   ficresprobcor #One-step probabilities and correlation matrix
                    787:    Matrix of variance covariance of one-step probabilities |  probcov_nom ficresprobcov #One-step probabilities and covariance matrix
                    788: 
1.126     brouard   789:   forecasting if prevfcast==1 prevforecast call prevalence()
                    790:   health expectancies
                    791:   Variance-covariance of DFLE
                    792:   prevalence()
                    793:    movingaverage()
                    794:   varevsij() 
                    795:   if popbased==1 varevsij(,popbased)
                    796:   total life expectancies
                    797:   Variance of period (stable) prevalence
                    798:  end
                    799: */
                    800: 
1.187     brouard   801: /* #define DEBUG */
                    802: /* #define DEBUGBRENT */
1.203     brouard   803: /* #define DEBUGLINMIN */
                    804: /* #define DEBUGHESS */
                    805: #define DEBUGHESSIJ
1.224     brouard   806: /* #define LINMINORIGINAL  /\* Don't use loop on scale in linmin (accepting nan) *\/ */
1.165     brouard   807: #define POWELL /* Instead of NLOPT */
1.224     brouard   808: #define POWELLNOF3INFF1TEST /* Skip test */
1.186     brouard   809: /* #define POWELLORIGINAL /\* Don't use Directest to decide new direction but original Powell test *\/ */
                    810: /* #define MNBRAKORIGINAL /\* Don't use mnbrak fix *\/ */
1.126     brouard   811: 
                    812: #include <math.h>
                    813: #include <stdio.h>
                    814: #include <stdlib.h>
                    815: #include <string.h>
1.226     brouard   816: #include <ctype.h>
1.159     brouard   817: 
                    818: #ifdef _WIN32
                    819: #include <io.h>
1.172     brouard   820: #include <windows.h>
                    821: #include <tchar.h>
1.159     brouard   822: #else
1.126     brouard   823: #include <unistd.h>
1.159     brouard   824: #endif
1.126     brouard   825: 
                    826: #include <limits.h>
                    827: #include <sys/types.h>
1.171     brouard   828: 
                    829: #if defined(__GNUC__)
                    830: #include <sys/utsname.h> /* Doesn't work on Windows */
                    831: #endif
                    832: 
1.126     brouard   833: #include <sys/stat.h>
                    834: #include <errno.h>
1.159     brouard   835: /* extern int errno; */
1.126     brouard   836: 
1.157     brouard   837: /* #ifdef LINUX */
                    838: /* #include <time.h> */
                    839: /* #include "timeval.h" */
                    840: /* #else */
                    841: /* #include <sys/time.h> */
                    842: /* #endif */
                    843: 
1.126     brouard   844: #include <time.h>
                    845: 
1.136     brouard   846: #ifdef GSL
                    847: #include <gsl/gsl_errno.h>
                    848: #include <gsl/gsl_multimin.h>
                    849: #endif
                    850: 
1.167     brouard   851: 
1.162     brouard   852: #ifdef NLOPT
                    853: #include <nlopt.h>
                    854: typedef struct {
                    855:   double (* function)(double [] );
                    856: } myfunc_data ;
                    857: #endif
                    858: 
1.126     brouard   859: /* #include <libintl.h> */
                    860: /* #define _(String) gettext (String) */
                    861: 
1.141     brouard   862: #define MAXLINE 1024 /* Was 256. Overflow with 312 with 2 states and 4 covariates. Should be ok */
1.126     brouard   863: 
                    864: #define GNUPLOTPROGRAM "gnuplot"
                    865: /*#define GNUPLOTPROGRAM "..\\gp37mgw\\wgnuplot"*/
                    866: #define FILENAMELENGTH 132
                    867: 
                    868: #define        GLOCK_ERROR_NOPATH              -1      /* empty path */
                    869: #define        GLOCK_ERROR_GETCWD              -2      /* cannot get cwd */
                    870: 
1.144     brouard   871: #define MAXPARM 128 /**< Maximum number of parameters for the optimization */
                    872: #define NPARMAX 64 /**< (nlstate+ndeath-1)*nlstate*ncovmodel */
1.126     brouard   873: 
                    874: #define NINTERVMAX 8
1.144     brouard   875: #define NLSTATEMAX 8 /**< Maximum number of live states (for func) */
                    876: #define NDEATHMAX 8 /**< Maximum number of dead states (for func) */
                    877: #define NCOVMAX 20 /**< Maximum number of covariates, including generated covariates V1*V2 */
1.197     brouard   878: #define codtabm(h,k)  (1 & (h-1) >> (k-1))+1
1.211     brouard   879: /*#define decodtabm(h,k,cptcoveff)= (h <= (1<<cptcoveff)?(((h-1) >> (k-1)) & 1) +1 : -1)*/
                    880: #define decodtabm(h,k,cptcoveff) (((h-1) >> (k-1)) & 1) +1 
1.126     brouard   881: #define MAXN 20000
1.144     brouard   882: #define YEARM 12. /**< Number of months per year */
1.218     brouard   883: /* #define AGESUP 130 */
                    884: #define AGESUP 150
                    885: #define AGEMARGE 25 /* Marge for agemin and agemax for(iage=agemin-AGEMARGE; iage <= agemax+3+AGEMARGE; iage++) */
1.126     brouard   886: #define AGEBASE 40
1.194     brouard   887: #define AGEOVERFLOW 1.e20
1.164     brouard   888: #define AGEGOMP 10 /**< Minimal age for Gompertz adjustment */
1.157     brouard   889: #ifdef _WIN32
                    890: #define DIRSEPARATOR '\\'
                    891: #define CHARSEPARATOR "\\"
                    892: #define ODIRSEPARATOR '/'
                    893: #else
1.126     brouard   894: #define DIRSEPARATOR '/'
                    895: #define CHARSEPARATOR "/"
                    896: #define ODIRSEPARATOR '\\'
                    897: #endif
                    898: 
1.233   ! brouard   899: /* $Id: imach.c,v 1.232 2016/08/22 14:20:21 brouard Exp $ */
1.126     brouard   900: /* $State: Exp $ */
1.196     brouard   901: #include "version.h"
                    902: char version[]=__IMACH_VERSION__;
1.224     brouard   903: 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";
1.233   ! brouard   904: char fullversion[]="$Revision: 1.232 $ $Date: 2016/08/22 14:20:21 $"; 
1.126     brouard   905: char strstart[80];
                    906: char optionfilext[10], optionfilefiname[FILENAMELENGTH];
1.130     brouard   907: int erreur=0, nberr=0, nbwarn=0; /* Error number, number of errors number of warnings  */
1.187     brouard   908: int nagesqr=0, nforce=0; /* nagesqr=1 if model is including age*age, number of forces */
1.145     brouard   909: /* Number of covariates model=V2+V1+ V3*age+V2*V4 */
                    910: int cptcovn=0; /**< cptcovn number of covariates added in the model (excepting constant and age and age*product) */
                    911: int cptcovt=0; /**< cptcovt number of covariates added in the model (excepting constant and age) */
1.225     brouard   912: int cptcovs=0; /**< cptcovs number of simple covariates in the model V2+V1 =2 */
                    913: int cptcovsnq=0; /**< cptcovsnq number of simple covariates in the model but non quantitative V2+V1 =2 */
1.145     brouard   914: int cptcovage=0; /**< Number of covariates with age: V3*age only =1 */
                    915: int cptcovprodnoage=0; /**< Number of covariate products without age */   
                    916: int cptcoveff=0; /* Total number of covariates to vary for printing results */
1.233   ! brouard   917: int ncovf=0; /* Total number of effective fixed covariates (dummy or quantitative) in the model */
        !           918: int ncovv=0; /* Total number of effective (wave) varying covariates (dummy or quantitative) in the model */
1.232     brouard   919: int ncova=0; /* Total number of effective (wave and stepm) varying with age covariates (dummy of quantitative) in the model */
                    920: 
                    921: int ncoveff=0; /* Total number of effective fixed dummy covariates in the model */
1.225     brouard   922: int nqfveff=0; /**< nqfveff Number of Quantitative Fixed Variables Effective */
1.224     brouard   923: int ntveff=0; /**< ntveff number of effective time varying variables */
                    924: int nqtveff=0; /**< ntqveff number of effective time varying quantitative variables */
1.145     brouard   925: int cptcov=0; /* Working variable */
1.218     brouard   926: int ncovcombmax=NCOVMAX; /* Maximum calculated number of covariate combination = pow(2, cptcoveff) */
1.126     brouard   927: int npar=NPARMAX;
                    928: int nlstate=2; /* Number of live states */
                    929: int ndeath=1; /* Number of dead states */
1.130     brouard   930: int ncovmodel=0, ncovcol=0;     /* Total number of covariables including constant a12*1 +b12*x ncovmodel=2 */
1.223     brouard   931: int  nqv=0, ntv=0, nqtv=0;    /* Total number of quantitative variables, time variable (dummy), quantitative and time variable */ 
1.126     brouard   932: int popbased=0;
                    933: 
                    934: int *wav; /* Number of waves for this individuual 0 is possible */
1.130     brouard   935: int maxwav=0; /* Maxim number of waves */
                    936: int jmin=0, jmax=0; /* min, max spacing between 2 waves */
                    937: int ijmin=0, ijmax=0; /* Individuals having jmin and jmax */ 
                    938: int gipmx=0, gsw=0; /* Global variables on the number of contributions 
1.126     brouard   939:                   to the likelihood and the sum of weights (done by funcone)*/
1.130     brouard   940: int mle=1, weightopt=0;
1.126     brouard   941: int **mw; /* mw[mi][i] is number of the mi wave for this individual */
                    942: int **dh; /* dh[mi][i] is number of steps between mi,mi+1 for this individual */
                    943: int **bh; /* bh[mi][i] is the bias (+ or -) for this individual if the delay between
                    944:           * wave mi and wave mi+1 is not an exact multiple of stepm. */
1.162     brouard   945: int countcallfunc=0;  /* Count the number of calls to func */
1.230     brouard   946: int selected(int kvar); /* Is covariate kvar selected for printing results */
                    947: 
1.130     brouard   948: double jmean=1; /* Mean space between 2 waves */
1.145     brouard   949: double **matprod2(); /* test */
1.126     brouard   950: double **oldm, **newm, **savm; /* Working pointers to matrices */
                    951: double **oldms, **newms, **savms; /* Fixed working pointers to matrices */
1.218     brouard   952: double  **ddnewms, **ddoldms, **ddsavms; /* for freeing later */
                    953: 
1.136     brouard   954: /*FILE *fic ; */ /* Used in readdata only */
1.217     brouard   955: FILE *ficpar, *ficparo,*ficres, *ficresp, *ficresphtm, *ficresphtmfr, *ficrespl, *ficresplb,*ficrespij, *ficrespijb, *ficrest,*ficresf, *ficresfb,*ficrespop;
1.126     brouard   956: FILE *ficlog, *ficrespow;
1.130     brouard   957: int globpr=0; /* Global variable for printing or not */
1.126     brouard   958: double fretone; /* Only one call to likelihood */
1.130     brouard   959: long ipmx=0; /* Number of contributions */
1.126     brouard   960: double sw; /* Sum of weights */
                    961: char filerespow[FILENAMELENGTH];
                    962: char fileresilk[FILENAMELENGTH]; /* File of individual contributions to the likelihood */
                    963: FILE *ficresilk;
                    964: FILE *ficgp,*ficresprob,*ficpop, *ficresprobcov, *ficresprobcor;
                    965: FILE *ficresprobmorprev;
                    966: FILE *fichtm, *fichtmcov; /* Html File */
                    967: FILE *ficreseij;
                    968: char filerese[FILENAMELENGTH];
                    969: FILE *ficresstdeij;
                    970: char fileresstde[FILENAMELENGTH];
                    971: FILE *ficrescveij;
                    972: char filerescve[FILENAMELENGTH];
                    973: FILE  *ficresvij;
                    974: char fileresv[FILENAMELENGTH];
                    975: FILE  *ficresvpl;
                    976: char fileresvpl[FILENAMELENGTH];
                    977: char title[MAXLINE];
1.217     brouard   978: char optionfile[FILENAMELENGTH], datafile[FILENAMELENGTH],  filerespl[FILENAMELENGTH],  fileresplb[FILENAMELENGTH];
1.126     brouard   979: char plotcmd[FILENAMELENGTH], pplotcmd[FILENAMELENGTH];
                    980: char tmpout[FILENAMELENGTH],  tmpout2[FILENAMELENGTH]; 
                    981: char command[FILENAMELENGTH];
                    982: int  outcmd=0;
                    983: 
1.217     brouard   984: char fileres[FILENAMELENGTH], filerespij[FILENAMELENGTH], filerespijb[FILENAMELENGTH], filereso[FILENAMELENGTH], rfileres[FILENAMELENGTH];
1.202     brouard   985: char fileresu[FILENAMELENGTH]; /* fileres without r in front */
1.126     brouard   986: char filelog[FILENAMELENGTH]; /* Log file */
                    987: char filerest[FILENAMELENGTH];
                    988: char fileregp[FILENAMELENGTH];
                    989: char popfile[FILENAMELENGTH];
                    990: 
                    991: char optionfilegnuplot[FILENAMELENGTH], optionfilehtm[FILENAMELENGTH], optionfilehtmcov[FILENAMELENGTH] ;
                    992: 
1.157     brouard   993: /* struct timeval start_time, end_time, curr_time, last_time, forecast_time; */
                    994: /* struct timezone tzp; */
                    995: /* extern int gettimeofday(); */
                    996: struct tm tml, *gmtime(), *localtime();
                    997: 
                    998: extern time_t time();
                    999: 
                   1000: struct tm start_time, end_time, curr_time, last_time, forecast_time;
                   1001: time_t  rstart_time, rend_time, rcurr_time, rlast_time, rforecast_time; /* raw time */
                   1002: struct tm tm;
                   1003: 
1.126     brouard  1004: char strcurr[80], strfor[80];
                   1005: 
                   1006: char *endptr;
                   1007: long lval;
                   1008: double dval;
                   1009: 
                   1010: #define NR_END 1
                   1011: #define FREE_ARG char*
                   1012: #define FTOL 1.0e-10
                   1013: 
                   1014: #define NRANSI 
                   1015: #define ITMAX 200 
                   1016: 
                   1017: #define TOL 2.0e-4 
                   1018: 
                   1019: #define CGOLD 0.3819660 
                   1020: #define ZEPS 1.0e-10 
                   1021: #define SHFT(a,b,c,d) (a)=(b);(b)=(c);(c)=(d); 
                   1022: 
                   1023: #define GOLD 1.618034 
                   1024: #define GLIMIT 100.0 
                   1025: #define TINY 1.0e-20 
                   1026: 
                   1027: static double maxarg1,maxarg2;
                   1028: #define FMAX(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)>(maxarg2)? (maxarg1):(maxarg2))
                   1029: #define FMIN(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)<(maxarg2)? (maxarg1):(maxarg2))
                   1030:   
                   1031: #define SIGN(a,b) ((b)>0.0 ? fabs(a) : -fabs(a))
                   1032: #define rint(a) floor(a+0.5)
1.166     brouard  1033: /* http://www.thphys.uni-heidelberg.de/~robbers/cmbeasy/doc/html/myutils_8h-source.html */
1.183     brouard  1034: #define mytinydouble 1.0e-16
1.166     brouard  1035: /* #define DEQUAL(a,b) (fabs((a)-(b))<mytinydouble) */
                   1036: /* http://www.thphys.uni-heidelberg.de/~robbers/cmbeasy/doc/html/mynrutils_8h-source.html */
                   1037: /* static double dsqrarg; */
                   1038: /* #define DSQR(a) (DEQUAL((dsqrarg=(a)),0.0) ? 0.0 : dsqrarg*dsqrarg) */
1.126     brouard  1039: static double sqrarg;
                   1040: #define SQR(a) ((sqrarg=(a)) == 0.0 ? 0.0 :sqrarg*sqrarg)
                   1041: #define SWAP(a,b) {temp=(a);(a)=(b);(b)=temp;} 
                   1042: int agegomp= AGEGOMP;
                   1043: 
                   1044: int imx; 
                   1045: int stepm=1;
                   1046: /* Stepm, step in month: minimum step interpolation*/
                   1047: 
                   1048: int estepm;
                   1049: /* Estepm, step in month to interpolate survival function in order to approximate Life Expectancy*/
                   1050: 
                   1051: int m,nb;
                   1052: long *num;
1.197     brouard  1053: int firstpass=0, lastpass=4,*cod, *cens;
1.192     brouard  1054: int *ncodemax;  /* ncodemax[j]= Number of modalities of the j th
                   1055:                   covariate for which somebody answered excluding 
                   1056:                   undefined. Usually 2: 0 and 1. */
                   1057: int *ncodemaxwundef;  /* ncodemax[j]= Number of modalities of the j th
                   1058:                             covariate for which somebody answered including 
                   1059:                             undefined. Usually 3: -1, 0 and 1. */
1.126     brouard  1060: double **agev,*moisnais, *annais, *moisdc, *andc,**mint, **anint;
1.218     brouard  1061: double **pmmij, ***probs; /* Global pointer */
1.219     brouard  1062: double ***mobaverage, ***mobaverages; /* New global variable */
1.126     brouard  1063: double *ageexmed,*agecens;
                   1064: double dateintmean=0;
                   1065: 
                   1066: double *weight;
                   1067: int **s; /* Status */
1.141     brouard  1068: double *agedc;
1.145     brouard  1069: double  **covar; /**< covar[j,i], value of jth covariate for individual i,
1.141     brouard  1070:                  * covar=matrix(0,NCOVMAX,1,n); 
1.187     brouard  1071:                  * cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*age; */
1.225     brouard  1072: double **coqvar; /* Fixed quantitative covariate iqv */
                   1073: double ***cotvar; /* Time varying covariate itv */
                   1074: double ***cotqvar; /* Time varying quantitative covariate itqv */
1.141     brouard  1075: double  idx; 
                   1076: int **nbcode, *Tvar; /**< model=V2 => Tvar[1]= 2 */
1.232     brouard  1077: int *TvarF; /**< TvarF[1]=Tvar[6]=2,  TvarF[2]=Tvar[7]=7, TvarF[3]=Tvar[9]=1  in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   1078: int *TvarFind; /**< TvarFind[1]=6,  TvarFind[2]=7, Tvarind[3]=9  in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   1079: int *TvarV; /**< TvarV[1]=Tvar[1]=5, TvarV[2]=Tvar[2]=4  in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   1080: int *TvarVind; /**< TvarVind[1]=1, TvarVind[2]=2  in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   1081: int *TvarA; /**< TvarA[1]=Tvar[5]=5, TvarA[2]=Tvar[8]=1  in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   1082: int *TvarAind; /**< TvarindA[1]=5, TvarAind[2]=8  in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
1.231     brouard  1083: int *TvarFD; /**< TvarFD[1]=V1 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   1084: int *TvarFDind; /* TvarFDind[1]=9 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   1085: int *TvarFQ; /* TvarFQ[1]=V2 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple fixed quantitative variable */
                   1086: int *TvarFQind; /* TvarFQind[1]=6 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple fixed quantitative variable */
                   1087: int *TvarVD; /* TvarVD[1]=V5 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple fixed quantitative variable */
                   1088: int *TvarVDind; /* TvarVDind[1]=1 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple fixed quantitative variable */
                   1089: int *TvarVQ; /* TvarVQ[1]=V5 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple time varying quantitative variable */
                   1090: int *TvarVQind; /* TvarVQind[1]=1 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple time varying quantitative variable */
                   1091: 
1.230     brouard  1092: int *Tvarsel; /**< Selected covariates for output */
                   1093: double *Tvalsel; /**< Selected modality value of covariate for output */
1.226     brouard  1094: int *Typevar; /**< 0 for simple covariate (dummy, quantitative, fixed or varying), 1 for age product, 2 for  product */
1.227     brouard  1095: int *Fixed; /** Fixed[k] 0=fixed, 1 varying, 2 fixed with age product, 3 varying with age product */ 
                   1096: 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  1097: int *Tage;
1.227     brouard  1098: int anyvaryingduminmodel=0; /**< Any varying dummy in Model=1 yes, 0 no, to avoid a loop on waves in freq */ 
1.228     brouard  1099: 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*/
1.230     brouard  1100: 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*/ 
                   1101: 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  1102: int *Ndum; /** Freq of modality (tricode */
1.200     brouard  1103: /* int **codtab;*/ /**< codtab=imatrix(1,100,1,10); */
1.227     brouard  1104: int **Tvard;
                   1105: int *Tprod;/**< Gives the k position of the k1 product */
                   1106: int *Tposprod; /**< Gives the k1 product from the k position */
                   1107: /* Tprod[k1=1]=3(=V1*V4) for V2+V1+V1*V4+age*V3
                   1108:    if  V2+V1+V1*V4+age*V3+V3*V2   TProd[k1=2]=5 (V3*V2)
                   1109:    Tposprod[k]=k1 , Tposprod[3]=1, Tposprod[5]=2 
                   1110: */
                   1111: int cptcovprod, *Tvaraff, *invalidvarcomb;
1.126     brouard  1112: double *lsurv, *lpop, *tpop;
                   1113: 
1.231     brouard  1114: #define FD 1; /* Fixed dummy covariate */
                   1115: #define FQ 2; /* Fixed quantitative covariate */
                   1116: #define FP 3; /* Fixed product covariate */
                   1117: #define FPDD 7; /* Fixed product dummy*dummy covariate */
                   1118: #define FPDQ 8; /* Fixed product dummy*quantitative covariate */
                   1119: #define FPQQ 9; /* Fixed product quantitative*quantitative covariate */
                   1120: #define VD 10; /* Varying dummy covariate */
                   1121: #define VQ 11; /* Varying quantitative covariate */
                   1122: #define VP 12; /* Varying product covariate */
                   1123: #define VPDD 13; /* Varying product dummy*dummy covariate */
                   1124: #define VPDQ 14; /* Varying product dummy*quantitative covariate */
                   1125: #define VPQQ 15; /* Varying product quantitative*quantitative covariate */
                   1126: #define APFD 16; /* Age product * fixed dummy covariate */
                   1127: #define APFQ 17; /* Age product * fixed quantitative covariate */
                   1128: #define APVD 18; /* Age product * varying dummy covariate */
                   1129: #define APVQ 19; /* Age product * varying quantitative covariate */
                   1130: 
                   1131: #define FTYPE 1; /* Fixed covariate */
                   1132: #define VTYPE 2; /* Varying covariate (loop in wave) */
                   1133: #define ATYPE 2; /* Age product covariate (loop in dh within wave)*/
                   1134: 
                   1135: struct kmodel{
                   1136:        int maintype; /* main type */
                   1137:        int subtype; /* subtype */
                   1138: };
                   1139: struct kmodel modell[NCOVMAX];
                   1140: 
1.143     brouard  1141: double ftol=FTOL; /**< Tolerance for computing Max Likelihood */
                   1142: double ftolhess; /**< Tolerance for computing hessian */
1.126     brouard  1143: 
                   1144: /**************** split *************************/
                   1145: static int split( char *path, char *dirc, char *name, char *ext, char *finame )
                   1146: {
                   1147:   /* From a file name with (full) path (either Unix or Windows) we extract the directory (dirc)
                   1148:      the name of the file (name), its extension only (ext) and its first part of the name (finame)
                   1149:   */ 
                   1150:   char *ss;                            /* pointer */
1.186     brouard  1151:   int  l1=0, l2=0;                             /* length counters */
1.126     brouard  1152: 
                   1153:   l1 = strlen(path );                  /* length of path */
                   1154:   if ( l1 == 0 ) return( GLOCK_ERROR_NOPATH );
                   1155:   ss= strrchr( path, DIRSEPARATOR );           /* find last / */
                   1156:   if ( ss == NULL ) {                  /* no directory, so determine current directory */
                   1157:     strcpy( name, path );              /* we got the fullname name because no directory */
                   1158:     /*if(strrchr(path, ODIRSEPARATOR )==NULL)
                   1159:       printf("Warning you should use %s as a separator\n",DIRSEPARATOR);*/
                   1160:     /* get current working directory */
                   1161:     /*    extern  char* getcwd ( char *buf , int len);*/
1.184     brouard  1162: #ifdef WIN32
                   1163:     if (_getcwd( dirc, FILENAME_MAX ) == NULL ) {
                   1164: #else
                   1165:        if (getcwd(dirc, FILENAME_MAX) == NULL) {
                   1166: #endif
1.126     brouard  1167:       return( GLOCK_ERROR_GETCWD );
                   1168:     }
                   1169:     /* got dirc from getcwd*/
                   1170:     printf(" DIRC = %s \n",dirc);
1.205     brouard  1171:   } else {                             /* strip directory from path */
1.126     brouard  1172:     ss++;                              /* after this, the filename */
                   1173:     l2 = strlen( ss );                 /* length of filename */
                   1174:     if ( l2 == 0 ) return( GLOCK_ERROR_NOPATH );
                   1175:     strcpy( name, ss );                /* save file name */
                   1176:     strncpy( dirc, path, l1 - l2 );    /* now the directory */
1.186     brouard  1177:     dirc[l1-l2] = '\0';                        /* add zero */
1.126     brouard  1178:     printf(" DIRC2 = %s \n",dirc);
                   1179:   }
                   1180:   /* We add a separator at the end of dirc if not exists */
                   1181:   l1 = strlen( dirc );                 /* length of directory */
                   1182:   if( dirc[l1-1] != DIRSEPARATOR ){
                   1183:     dirc[l1] =  DIRSEPARATOR;
                   1184:     dirc[l1+1] = 0; 
                   1185:     printf(" DIRC3 = %s \n",dirc);
                   1186:   }
                   1187:   ss = strrchr( name, '.' );           /* find last / */
                   1188:   if (ss >0){
                   1189:     ss++;
                   1190:     strcpy(ext,ss);                    /* save extension */
                   1191:     l1= strlen( name);
                   1192:     l2= strlen(ss)+1;
                   1193:     strncpy( finame, name, l1-l2);
                   1194:     finame[l1-l2]= 0;
                   1195:   }
                   1196: 
                   1197:   return( 0 );                         /* we're done */
                   1198: }
                   1199: 
                   1200: 
                   1201: /******************************************/
                   1202: 
                   1203: void replace_back_to_slash(char *s, char*t)
                   1204: {
                   1205:   int i;
                   1206:   int lg=0;
                   1207:   i=0;
                   1208:   lg=strlen(t);
                   1209:   for(i=0; i<= lg; i++) {
                   1210:     (s[i] = t[i]);
                   1211:     if (t[i]== '\\') s[i]='/';
                   1212:   }
                   1213: }
                   1214: 
1.132     brouard  1215: char *trimbb(char *out, char *in)
1.137     brouard  1216: { /* Trim multiple blanks in line but keeps first blanks if line starts with blanks */
1.132     brouard  1217:   char *s;
                   1218:   s=out;
                   1219:   while (*in != '\0'){
1.137     brouard  1220:     while( *in == ' ' && *(in+1) == ' '){ /* && *(in+1) != '\0'){*/
1.132     brouard  1221:       in++;
                   1222:     }
                   1223:     *out++ = *in++;
                   1224:   }
                   1225:   *out='\0';
                   1226:   return s;
                   1227: }
                   1228: 
1.187     brouard  1229: /* char *substrchaine(char *out, char *in, char *chain) */
                   1230: /* { */
                   1231: /*   /\* Substract chain 'chain' from 'in', return and output 'out' *\/ */
                   1232: /*   char *s, *t; */
                   1233: /*   t=in;s=out; */
                   1234: /*   while ((*in != *chain) && (*in != '\0')){ */
                   1235: /*     *out++ = *in++; */
                   1236: /*   } */
                   1237: 
                   1238: /*   /\* *in matches *chain *\/ */
                   1239: /*   while ((*in++ == *chain++) && (*in != '\0')){ */
                   1240: /*     printf("*in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
                   1241: /*   } */
                   1242: /*   in--; chain--; */
                   1243: /*   while ( (*in != '\0')){ */
                   1244: /*     printf("Bef *in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
                   1245: /*     *out++ = *in++; */
                   1246: /*     printf("Aft *in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
                   1247: /*   } */
                   1248: /*   *out='\0'; */
                   1249: /*   out=s; */
                   1250: /*   return out; */
                   1251: /* } */
                   1252: char *substrchaine(char *out, char *in, char *chain)
                   1253: {
                   1254:   /* Substract chain 'chain' from 'in', return and output 'out' */
                   1255:   /* in="V1+V1*age+age*age+V2", chain="age*age" */
                   1256: 
                   1257:   char *strloc;
                   1258: 
                   1259:   strcpy (out, in); 
                   1260:   strloc = strstr(out, chain); /* strloc points to out at age*age+V2 */
                   1261:   printf("Bef strloc=%s chain=%s out=%s \n", strloc, chain, out);
                   1262:   if(strloc != NULL){ 
                   1263:     /* will affect out */ /* strloc+strlenc(chain)=+V2 */ /* Will also work in Unicode */
                   1264:     memmove(strloc,strloc+strlen(chain), strlen(strloc+strlen(chain))+1);
                   1265:     /* strcpy (strloc, strloc +strlen(chain));*/
                   1266:   }
                   1267:   printf("Aft strloc=%s chain=%s in=%s out=%s \n", strloc, chain, in, out);
                   1268:   return out;
                   1269: }
                   1270: 
                   1271: 
1.145     brouard  1272: char *cutl(char *blocc, char *alocc, char *in, char occ)
                   1273: {
1.187     brouard  1274:   /* cuts string in into blocc and alocc where blocc ends before FIRST occurence of char 'occ' 
1.145     brouard  1275:      and alocc starts after first occurence of char 'occ' : ex cutv(blocc,alocc,"abcdef2ghi2j",'2')
1.187     brouard  1276:      gives blocc="abcdef" and alocc="ghi2j".
1.145     brouard  1277:      If occ is not found blocc is null and alocc is equal to in. Returns blocc
                   1278:   */
1.160     brouard  1279:   char *s, *t;
1.145     brouard  1280:   t=in;s=in;
                   1281:   while ((*in != occ) && (*in != '\0')){
                   1282:     *alocc++ = *in++;
                   1283:   }
                   1284:   if( *in == occ){
                   1285:     *(alocc)='\0';
                   1286:     s=++in;
                   1287:   }
                   1288:  
                   1289:   if (s == t) {/* occ not found */
                   1290:     *(alocc-(in-s))='\0';
                   1291:     in=s;
                   1292:   }
                   1293:   while ( *in != '\0'){
                   1294:     *blocc++ = *in++;
                   1295:   }
                   1296: 
                   1297:   *blocc='\0';
                   1298:   return t;
                   1299: }
1.137     brouard  1300: char *cutv(char *blocc, char *alocc, char *in, char occ)
                   1301: {
1.187     brouard  1302:   /* cuts string in into blocc and alocc where blocc ends before LAST occurence of char 'occ' 
1.137     brouard  1303:      and alocc starts after last occurence of char 'occ' : ex cutv(blocc,alocc,"abcdef2ghi2j",'2')
                   1304:      gives blocc="abcdef2ghi" and alocc="j".
                   1305:      If occ is not found blocc is null and alocc is equal to in. Returns alocc
                   1306:   */
                   1307:   char *s, *t;
                   1308:   t=in;s=in;
                   1309:   while (*in != '\0'){
                   1310:     while( *in == occ){
                   1311:       *blocc++ = *in++;
                   1312:       s=in;
                   1313:     }
                   1314:     *blocc++ = *in++;
                   1315:   }
                   1316:   if (s == t) /* occ not found */
                   1317:     *(blocc-(in-s))='\0';
                   1318:   else
                   1319:     *(blocc-(in-s)-1)='\0';
                   1320:   in=s;
                   1321:   while ( *in != '\0'){
                   1322:     *alocc++ = *in++;
                   1323:   }
                   1324: 
                   1325:   *alocc='\0';
                   1326:   return s;
                   1327: }
                   1328: 
1.126     brouard  1329: int nbocc(char *s, char occ)
                   1330: {
                   1331:   int i,j=0;
                   1332:   int lg=20;
                   1333:   i=0;
                   1334:   lg=strlen(s);
                   1335:   for(i=0; i<= lg; i++) {
                   1336:   if  (s[i] == occ ) j++;
                   1337:   }
                   1338:   return j;
                   1339: }
                   1340: 
1.137     brouard  1341: /* void cutv(char *u,char *v, char*t, char occ) */
                   1342: /* { */
                   1343: /*   /\* cuts string t into u and v where u ends before last occurence of char 'occ'  */
                   1344: /*      and v starts after last occurence of char 'occ' : ex cutv(u,v,"abcdef2ghi2j",'2') */
                   1345: /*      gives u="abcdef2ghi" and v="j" *\/ */
                   1346: /*   int i,lg,j,p=0; */
                   1347: /*   i=0; */
                   1348: /*   lg=strlen(t); */
                   1349: /*   for(j=0; j<=lg-1; j++) { */
                   1350: /*     if((t[j]!= occ) && (t[j+1]== occ)) p=j+1; */
                   1351: /*   } */
1.126     brouard  1352: 
1.137     brouard  1353: /*   for(j=0; j<p; j++) { */
                   1354: /*     (u[j] = t[j]); */
                   1355: /*   } */
                   1356: /*      u[p]='\0'; */
1.126     brouard  1357: 
1.137     brouard  1358: /*    for(j=0; j<= lg; j++) { */
                   1359: /*     if (j>=(p+1))(v[j-p-1] = t[j]); */
                   1360: /*   } */
                   1361: /* } */
1.126     brouard  1362: 
1.160     brouard  1363: #ifdef _WIN32
                   1364: char * strsep(char **pp, const char *delim)
                   1365: {
                   1366:   char *p, *q;
                   1367:          
                   1368:   if ((p = *pp) == NULL)
                   1369:     return 0;
                   1370:   if ((q = strpbrk (p, delim)) != NULL)
                   1371:   {
                   1372:     *pp = q + 1;
                   1373:     *q = '\0';
                   1374:   }
                   1375:   else
                   1376:     *pp = 0;
                   1377:   return p;
                   1378: }
                   1379: #endif
                   1380: 
1.126     brouard  1381: /********************** nrerror ********************/
                   1382: 
                   1383: void nrerror(char error_text[])
                   1384: {
                   1385:   fprintf(stderr,"ERREUR ...\n");
                   1386:   fprintf(stderr,"%s\n",error_text);
                   1387:   exit(EXIT_FAILURE);
                   1388: }
                   1389: /*********************** vector *******************/
                   1390: double *vector(int nl, int nh)
                   1391: {
                   1392:   double *v;
                   1393:   v=(double *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(double)));
                   1394:   if (!v) nrerror("allocation failure in vector");
                   1395:   return v-nl+NR_END;
                   1396: }
                   1397: 
                   1398: /************************ free vector ******************/
                   1399: void free_vector(double*v, int nl, int nh)
                   1400: {
                   1401:   free((FREE_ARG)(v+nl-NR_END));
                   1402: }
                   1403: 
                   1404: /************************ivector *******************************/
                   1405: int *ivector(long nl,long nh)
                   1406: {
                   1407:   int *v;
                   1408:   v=(int *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(int)));
                   1409:   if (!v) nrerror("allocation failure in ivector");
                   1410:   return v-nl+NR_END;
                   1411: }
                   1412: 
                   1413: /******************free ivector **************************/
                   1414: void free_ivector(int *v, long nl, long nh)
                   1415: {
                   1416:   free((FREE_ARG)(v+nl-NR_END));
                   1417: }
                   1418: 
                   1419: /************************lvector *******************************/
                   1420: long *lvector(long nl,long nh)
                   1421: {
                   1422:   long *v;
                   1423:   v=(long *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(long)));
                   1424:   if (!v) nrerror("allocation failure in ivector");
                   1425:   return v-nl+NR_END;
                   1426: }
                   1427: 
                   1428: /******************free lvector **************************/
                   1429: void free_lvector(long *v, long nl, long nh)
                   1430: {
                   1431:   free((FREE_ARG)(v+nl-NR_END));
                   1432: }
                   1433: 
                   1434: /******************* imatrix *******************************/
                   1435: int **imatrix(long nrl, long nrh, long ncl, long nch) 
                   1436:      /* allocate a int matrix with subscript range m[nrl..nrh][ncl..nch] */ 
                   1437: { 
                   1438:   long i, nrow=nrh-nrl+1,ncol=nch-ncl+1; 
                   1439:   int **m; 
                   1440:   
                   1441:   /* allocate pointers to rows */ 
                   1442:   m=(int **) malloc((size_t)((nrow+NR_END)*sizeof(int*))); 
                   1443:   if (!m) nrerror("allocation failure 1 in matrix()"); 
                   1444:   m += NR_END; 
                   1445:   m -= nrl; 
                   1446:   
                   1447:   
                   1448:   /* allocate rows and set pointers to them */ 
                   1449:   m[nrl]=(int *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(int))); 
                   1450:   if (!m[nrl]) nrerror("allocation failure 2 in matrix()"); 
                   1451:   m[nrl] += NR_END; 
                   1452:   m[nrl] -= ncl; 
                   1453:   
                   1454:   for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol; 
                   1455:   
                   1456:   /* return pointer to array of pointers to rows */ 
                   1457:   return m; 
                   1458: } 
                   1459: 
                   1460: /****************** free_imatrix *************************/
                   1461: void free_imatrix(m,nrl,nrh,ncl,nch)
                   1462:       int **m;
                   1463:       long nch,ncl,nrh,nrl; 
                   1464:      /* free an int matrix allocated by imatrix() */ 
                   1465: { 
                   1466:   free((FREE_ARG) (m[nrl]+ncl-NR_END)); 
                   1467:   free((FREE_ARG) (m+nrl-NR_END)); 
                   1468: } 
                   1469: 
                   1470: /******************* matrix *******************************/
                   1471: double **matrix(long nrl, long nrh, long ncl, long nch)
                   1472: {
                   1473:   long i, nrow=nrh-nrl+1, ncol=nch-ncl+1;
                   1474:   double **m;
                   1475: 
                   1476:   m=(double **) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
                   1477:   if (!m) nrerror("allocation failure 1 in matrix()");
                   1478:   m += NR_END;
                   1479:   m -= nrl;
                   1480: 
                   1481:   m[nrl]=(double *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
                   1482:   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
                   1483:   m[nrl] += NR_END;
                   1484:   m[nrl] -= ncl;
                   1485: 
                   1486:   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
                   1487:   return m;
1.145     brouard  1488:   /* print *(*(m+1)+70) or print m[1][70]; print m+1 or print &(m[1]) or &(m[1][0])
                   1489: m[i] = address of ith row of the table. &(m[i]) is its value which is another adress
                   1490: that of m[i][0]. In order to get the value p m[i][0] but it is unitialized.
1.126     brouard  1491:    */
                   1492: }
                   1493: 
                   1494: /*************************free matrix ************************/
                   1495: void free_matrix(double **m, long nrl, long nrh, long ncl, long nch)
                   1496: {
                   1497:   free((FREE_ARG)(m[nrl]+ncl-NR_END));
                   1498:   free((FREE_ARG)(m+nrl-NR_END));
                   1499: }
                   1500: 
                   1501: /******************* ma3x *******************************/
                   1502: double ***ma3x(long nrl, long nrh, long ncl, long nch, long nll, long nlh)
                   1503: {
                   1504:   long i, j, nrow=nrh-nrl+1, ncol=nch-ncl+1, nlay=nlh-nll+1;
                   1505:   double ***m;
                   1506: 
                   1507:   m=(double ***) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
                   1508:   if (!m) nrerror("allocation failure 1 in matrix()");
                   1509:   m += NR_END;
                   1510:   m -= nrl;
                   1511: 
                   1512:   m[nrl]=(double **) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
                   1513:   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
                   1514:   m[nrl] += NR_END;
                   1515:   m[nrl] -= ncl;
                   1516: 
                   1517:   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
                   1518: 
                   1519:   m[nrl][ncl]=(double *) malloc((size_t)((nrow*ncol*nlay+NR_END)*sizeof(double)));
                   1520:   if (!m[nrl][ncl]) nrerror("allocation failure 3 in matrix()");
                   1521:   m[nrl][ncl] += NR_END;
                   1522:   m[nrl][ncl] -= nll;
                   1523:   for (j=ncl+1; j<=nch; j++) 
                   1524:     m[nrl][j]=m[nrl][j-1]+nlay;
                   1525:   
                   1526:   for (i=nrl+1; i<=nrh; i++) {
                   1527:     m[i][ncl]=m[i-1l][ncl]+ncol*nlay;
                   1528:     for (j=ncl+1; j<=nch; j++) 
                   1529:       m[i][j]=m[i][j-1]+nlay;
                   1530:   }
                   1531:   return m; 
                   1532:   /*  gdb: p *(m+1) <=> p m[1] and p (m+1) <=> p (m+1) <=> p &(m[1])
                   1533:            &(m[i][j][k]) <=> *((*(m+i) + j)+k)
                   1534:   */
                   1535: }
                   1536: 
                   1537: /*************************free ma3x ************************/
                   1538: void free_ma3x(double ***m, long nrl, long nrh, long ncl, long nch,long nll, long nlh)
                   1539: {
                   1540:   free((FREE_ARG)(m[nrl][ncl]+ nll-NR_END));
                   1541:   free((FREE_ARG)(m[nrl]+ncl-NR_END));
                   1542:   free((FREE_ARG)(m+nrl-NR_END));
                   1543: }
                   1544: 
                   1545: /*************** function subdirf ***********/
                   1546: char *subdirf(char fileres[])
                   1547: {
                   1548:   /* Caution optionfilefiname is hidden */
                   1549:   strcpy(tmpout,optionfilefiname);
                   1550:   strcat(tmpout,"/"); /* Add to the right */
                   1551:   strcat(tmpout,fileres);
                   1552:   return tmpout;
                   1553: }
                   1554: 
                   1555: /*************** function subdirf2 ***********/
                   1556: char *subdirf2(char fileres[], char *preop)
                   1557: {
                   1558:   
                   1559:   /* Caution optionfilefiname is hidden */
                   1560:   strcpy(tmpout,optionfilefiname);
                   1561:   strcat(tmpout,"/");
                   1562:   strcat(tmpout,preop);
                   1563:   strcat(tmpout,fileres);
                   1564:   return tmpout;
                   1565: }
                   1566: 
                   1567: /*************** function subdirf3 ***********/
                   1568: char *subdirf3(char fileres[], char *preop, char *preop2)
                   1569: {
                   1570:   
                   1571:   /* Caution optionfilefiname is hidden */
                   1572:   strcpy(tmpout,optionfilefiname);
                   1573:   strcat(tmpout,"/");
                   1574:   strcat(tmpout,preop);
                   1575:   strcat(tmpout,preop2);
                   1576:   strcat(tmpout,fileres);
                   1577:   return tmpout;
                   1578: }
1.213     brouard  1579:  
                   1580: /*************** function subdirfext ***********/
                   1581: char *subdirfext(char fileres[], char *preop, char *postop)
                   1582: {
                   1583:   
                   1584:   strcpy(tmpout,preop);
                   1585:   strcat(tmpout,fileres);
                   1586:   strcat(tmpout,postop);
                   1587:   return tmpout;
                   1588: }
1.126     brouard  1589: 
1.213     brouard  1590: /*************** function subdirfext3 ***********/
                   1591: char *subdirfext3(char fileres[], char *preop, char *postop)
                   1592: {
                   1593:   
                   1594:   /* Caution optionfilefiname is hidden */
                   1595:   strcpy(tmpout,optionfilefiname);
                   1596:   strcat(tmpout,"/");
                   1597:   strcat(tmpout,preop);
                   1598:   strcat(tmpout,fileres);
                   1599:   strcat(tmpout,postop);
                   1600:   return tmpout;
                   1601: }
                   1602:  
1.162     brouard  1603: char *asc_diff_time(long time_sec, char ascdiff[])
                   1604: {
                   1605:   long sec_left, days, hours, minutes;
                   1606:   days = (time_sec) / (60*60*24);
                   1607:   sec_left = (time_sec) % (60*60*24);
                   1608:   hours = (sec_left) / (60*60) ;
                   1609:   sec_left = (sec_left) %(60*60);
                   1610:   minutes = (sec_left) /60;
                   1611:   sec_left = (sec_left) % (60);
                   1612:   sprintf(ascdiff,"%ld day(s) %ld hour(s) %ld minute(s) %ld second(s)",days, hours, minutes, sec_left);  
                   1613:   return ascdiff;
                   1614: }
                   1615: 
1.126     brouard  1616: /***************** f1dim *************************/
                   1617: extern int ncom; 
                   1618: extern double *pcom,*xicom;
                   1619: extern double (*nrfunc)(double []); 
                   1620:  
                   1621: double f1dim(double x) 
                   1622: { 
                   1623:   int j; 
                   1624:   double f;
                   1625:   double *xt; 
                   1626:  
                   1627:   xt=vector(1,ncom); 
                   1628:   for (j=1;j<=ncom;j++) xt[j]=pcom[j]+x*xicom[j]; 
                   1629:   f=(*nrfunc)(xt); 
                   1630:   free_vector(xt,1,ncom); 
                   1631:   return f; 
                   1632: } 
                   1633: 
                   1634: /*****************brent *************************/
                   1635: double brent(double ax, double bx, double cx, double (*f)(double), double tol,         double *xmin) 
1.187     brouard  1636: {
                   1637:   /* Given a function f, and given a bracketing triplet of abscissas ax, bx, cx (such that bx is
                   1638:    * between ax and cx, and f(bx) is less than both f(ax) and f(cx) ), this routine isolates
                   1639:    * the minimum to a fractional precision of about tol using Brent’s method. The abscissa of
                   1640:    * the minimum is returned as xmin, and the minimum function value is returned as brent , the
                   1641:    * returned function value. 
                   1642:   */
1.126     brouard  1643:   int iter; 
                   1644:   double a,b,d,etemp;
1.159     brouard  1645:   double fu=0,fv,fw,fx;
1.164     brouard  1646:   double ftemp=0.;
1.126     brouard  1647:   double p,q,r,tol1,tol2,u,v,w,x,xm; 
                   1648:   double e=0.0; 
                   1649:  
                   1650:   a=(ax < cx ? ax : cx); 
                   1651:   b=(ax > cx ? ax : cx); 
                   1652:   x=w=v=bx; 
                   1653:   fw=fv=fx=(*f)(x); 
                   1654:   for (iter=1;iter<=ITMAX;iter++) { 
                   1655:     xm=0.5*(a+b); 
                   1656:     tol2=2.0*(tol1=tol*fabs(x)+ZEPS); 
                   1657:     /*         if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret)))*/
                   1658:     printf(".");fflush(stdout);
                   1659:     fprintf(ficlog,".");fflush(ficlog);
1.162     brouard  1660: #ifdef DEBUGBRENT
1.126     brouard  1661:     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);
                   1662:     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);
                   1663:     /*         if ((fabs(x-xm) <= (tol2-0.5*(b-a)))||(2.0*fabs(fu-ftemp) <= ftol*1.e-2*(fabs(fu)+fabs(ftemp)))) { */
                   1664: #endif
                   1665:     if (fabs(x-xm) <= (tol2-0.5*(b-a))){ 
                   1666:       *xmin=x; 
                   1667:       return fx; 
                   1668:     } 
                   1669:     ftemp=fu;
                   1670:     if (fabs(e) > tol1) { 
                   1671:       r=(x-w)*(fx-fv); 
                   1672:       q=(x-v)*(fx-fw); 
                   1673:       p=(x-v)*q-(x-w)*r; 
                   1674:       q=2.0*(q-r); 
                   1675:       if (q > 0.0) p = -p; 
                   1676:       q=fabs(q); 
                   1677:       etemp=e; 
                   1678:       e=d; 
                   1679:       if (fabs(p) >= fabs(0.5*q*etemp) || p <= q*(a-x) || p >= q*(b-x)) 
1.224     brouard  1680:                                d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
1.126     brouard  1681:       else { 
1.224     brouard  1682:                                d=p/q; 
                   1683:                                u=x+d; 
                   1684:                                if (u-a < tol2 || b-u < tol2) 
                   1685:                                        d=SIGN(tol1,xm-x); 
1.126     brouard  1686:       } 
                   1687:     } else { 
                   1688:       d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
                   1689:     } 
                   1690:     u=(fabs(d) >= tol1 ? x+d : x+SIGN(tol1,d)); 
                   1691:     fu=(*f)(u); 
                   1692:     if (fu <= fx) { 
                   1693:       if (u >= x) a=x; else b=x; 
                   1694:       SHFT(v,w,x,u) 
1.183     brouard  1695:       SHFT(fv,fw,fx,fu) 
                   1696:     } else { 
                   1697:       if (u < x) a=u; else b=u; 
                   1698:       if (fu <= fw || w == x) { 
1.224     brouard  1699:                                v=w; 
                   1700:                                w=u; 
                   1701:                                fv=fw; 
                   1702:                                fw=fu; 
1.183     brouard  1703:       } else if (fu <= fv || v == x || v == w) { 
1.224     brouard  1704:                                v=u; 
                   1705:                                fv=fu; 
1.183     brouard  1706:       } 
                   1707:     } 
1.126     brouard  1708:   } 
                   1709:   nrerror("Too many iterations in brent"); 
                   1710:   *xmin=x; 
                   1711:   return fx; 
                   1712: } 
                   1713: 
                   1714: /****************** mnbrak ***********************/
                   1715: 
                   1716: void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, double *fc, 
                   1717:            double (*func)(double)) 
1.183     brouard  1718: { /* Given a function func , and given distinct initial points ax and bx , this routine searches in
                   1719: the downhill direction (defined by the function as evaluated at the initial points) and returns
                   1720: new points ax , bx , cx that bracket a minimum of the function. Also returned are the function
                   1721: values at the three points, fa, fb , and fc such that fa > fb and fb < fc.
                   1722:    */
1.126     brouard  1723:   double ulim,u,r,q, dum;
                   1724:   double fu; 
1.187     brouard  1725: 
                   1726:   double scale=10.;
                   1727:   int iterscale=0;
                   1728: 
                   1729:   *fa=(*func)(*ax); /*  xta[j]=pcom[j]+(*ax)*xicom[j]; fa=f(xta[j])*/
                   1730:   *fb=(*func)(*bx); /*  xtb[j]=pcom[j]+(*bx)*xicom[j]; fb=f(xtb[j]) */
                   1731: 
                   1732: 
                   1733:   /* while(*fb != *fb){ /\* *ax should be ok, reducing distance to *ax *\/ */
                   1734:   /*   printf("Warning mnbrak *fb = %lf, *bx=%lf *ax=%lf *fa==%lf iter=%d\n",*fb, *bx, *ax, *fa, iterscale++); */
                   1735:   /*   *bx = *ax - (*ax - *bx)/scale; */
                   1736:   /*   *fb=(*func)(*bx);  /\*  xtb[j]=pcom[j]+(*bx)*xicom[j]; fb=f(xtb[j]) *\/ */
                   1737:   /* } */
                   1738: 
1.126     brouard  1739:   if (*fb > *fa) { 
                   1740:     SHFT(dum,*ax,*bx,dum) 
1.183     brouard  1741:     SHFT(dum,*fb,*fa,dum) 
                   1742:   } 
1.126     brouard  1743:   *cx=(*bx)+GOLD*(*bx-*ax); 
                   1744:   *fc=(*func)(*cx); 
1.183     brouard  1745: #ifdef DEBUG
1.224     brouard  1746:   printf("mnbrak0 a=%lf *fa=%lf, b=%lf *fb=%lf, c=%lf *fc=%lf\n",*ax,*fa,*bx,*fb,*cx, *fc);
                   1747:   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  1748: #endif
1.224     brouard  1749:   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  1750:     r=(*bx-*ax)*(*fb-*fc); 
1.224     brouard  1751:     q=(*bx-*cx)*(*fb-*fa); /* What if fa=inf */
1.126     brouard  1752:     u=(*bx)-((*bx-*cx)*q-(*bx-*ax)*r)/ 
1.183     brouard  1753:       (2.0*SIGN(FMAX(fabs(q-r),TINY),q-r)); /* Minimum abscissa of a parabolic estimated from (a,fa), (b,fb) and (c,fc). */
                   1754:     ulim=(*bx)+GLIMIT*(*cx-*bx); /* Maximum abscissa where function should be evaluated */
                   1755:     if ((*bx-u)*(u-*cx) > 0.0) { /* if u_p is between b and c */
1.126     brouard  1756:       fu=(*func)(u); 
1.163     brouard  1757: #ifdef DEBUG
                   1758:       /* f(x)=A(x-u)**2+f(u) */
                   1759:       double A, fparabu; 
                   1760:       A= (*fb - *fa)/(*bx-*ax)/(*bx+*ax-2*u);
                   1761:       fparabu= *fa - A*(*ax-u)*(*ax-u);
1.224     brouard  1762:       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);
                   1763:       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  1764:       /* And thus,it can be that fu > *fc even if fparabu < *fc */
                   1765:       /* mnbrak (*ax=7.666299858533, *fa=299039.693133272231), (*bx=8.595447774979, *fb=298976.598289369489),
                   1766:         (*cx=10.098840694817, *fc=298946.631474258087),  (*u=9.852501168332, fu=298948.773013752128, fparabu=298945.434711494134) */
                   1767:       /* In that case, there is no bracket in the output! Routine is wrong with many consequences.*/
1.163     brouard  1768: #endif 
1.184     brouard  1769: #ifdef MNBRAKORIGINAL
1.183     brouard  1770: #else
1.191     brouard  1771: /*       if (fu > *fc) { */
                   1772: /* #ifdef DEBUG */
                   1773: /*       printf("mnbrak4  fu > fc \n"); */
                   1774: /*       fprintf(ficlog, "mnbrak4 fu > fc\n"); */
                   1775: /* #endif */
                   1776: /*     /\* 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 *\\/  *\/ */
                   1777: /*     /\* SHFT(*fa,*fc,fu,*fc) /\\* (b, u, c) is a bracket while test fb > fc will be fu > fc  will exit *\\/ *\/ */
                   1778: /*     dum=u; /\* Shifting c and u *\/ */
                   1779: /*     u = *cx; */
                   1780: /*     *cx = dum; */
                   1781: /*     dum = fu; */
                   1782: /*     fu = *fc; */
                   1783: /*     *fc =dum; */
                   1784: /*       } else { /\* end *\/ */
                   1785: /* #ifdef DEBUG */
                   1786: /*       printf("mnbrak3  fu < fc \n"); */
                   1787: /*       fprintf(ficlog, "mnbrak3 fu < fc\n"); */
                   1788: /* #endif */
                   1789: /*     dum=u; /\* Shifting c and u *\/ */
                   1790: /*     u = *cx; */
                   1791: /*     *cx = dum; */
                   1792: /*     dum = fu; */
                   1793: /*     fu = *fc; */
                   1794: /*     *fc =dum; */
                   1795: /*       } */
1.224     brouard  1796: #ifdef DEBUGMNBRAK
                   1797:                 double A, fparabu; 
                   1798:      A= (*fb - *fa)/(*bx-*ax)/(*bx+*ax-2*u);
                   1799:      fparabu= *fa - A*(*ax-u)*(*ax-u);
                   1800:      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);
                   1801:      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  1802: #endif
1.191     brouard  1803:       dum=u; /* Shifting c and u */
                   1804:       u = *cx;
                   1805:       *cx = dum;
                   1806:       dum = fu;
                   1807:       fu = *fc;
                   1808:       *fc =dum;
1.183     brouard  1809: #endif
1.162     brouard  1810:     } else if ((*cx-u)*(u-ulim) > 0.0) { /* u is after c but before ulim */
1.183     brouard  1811: #ifdef DEBUG
1.224     brouard  1812:       printf("\nmnbrak2  u=%lf after c=%lf but before ulim\n",u,*cx);
                   1813:       fprintf(ficlog,"\nmnbrak2  u=%lf after c=%lf but before ulim\n",u,*cx);
1.183     brouard  1814: #endif
1.126     brouard  1815:       fu=(*func)(u); 
                   1816:       if (fu < *fc) { 
1.183     brouard  1817: #ifdef DEBUG
1.224     brouard  1818:                                printf("\nmnbrak2  u=%lf after c=%lf but before ulim=%lf AND fu=%lf < %lf=fc\n",u,*cx,ulim,fu, *fc);
                   1819:                          fprintf(ficlog,"\nmnbrak2  u=%lf after c=%lf but before ulim=%lf AND fu=%lf < %lf=fc\n",u,*cx,ulim,fu, *fc);
                   1820: #endif
                   1821:                          SHFT(*bx,*cx,u,*cx+GOLD*(*cx-*bx)) 
                   1822:                                SHFT(*fb,*fc,fu,(*func)(u)) 
                   1823: #ifdef DEBUG
                   1824:                                        printf("\nmnbrak2 shift GOLD c=%lf",*cx+GOLD*(*cx-*bx));
1.183     brouard  1825: #endif
                   1826:       } 
1.162     brouard  1827:     } else if ((u-ulim)*(ulim-*cx) >= 0.0) { /* u outside ulim (verifying that ulim is beyond c) */
1.183     brouard  1828: #ifdef DEBUG
1.224     brouard  1829:       printf("\nmnbrak2  u=%lf outside ulim=%lf (verifying that ulim is beyond c=%lf)\n",u,ulim,*cx);
                   1830:       fprintf(ficlog,"\nmnbrak2  u=%lf outside ulim=%lf (verifying that ulim is beyond c=%lf)\n",u,ulim,*cx);
1.183     brouard  1831: #endif
1.126     brouard  1832:       u=ulim; 
                   1833:       fu=(*func)(u); 
1.183     brouard  1834:     } else { /* u could be left to b (if r > q parabola has a maximum) */
                   1835: #ifdef DEBUG
1.224     brouard  1836:       printf("\nmnbrak2  u=%lf could be left to b=%lf (if r=%lf > q=%lf parabola has a maximum)\n",u,*bx,r,q);
                   1837:       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  1838: #endif
1.126     brouard  1839:       u=(*cx)+GOLD*(*cx-*bx); 
                   1840:       fu=(*func)(u); 
1.224     brouard  1841: #ifdef DEBUG
                   1842:       printf("\nmnbrak2 new u=%lf fu=%lf shifted gold left from c=%lf and b=%lf \n",u,fu,*cx,*bx);
                   1843:       fprintf(ficlog,"\nmnbrak2 new u=%lf fu=%lf shifted gold left from c=%lf and b=%lf \n",u,fu,*cx,*bx);
                   1844: #endif
1.183     brouard  1845:     } /* end tests */
1.126     brouard  1846:     SHFT(*ax,*bx,*cx,u) 
1.183     brouard  1847:     SHFT(*fa,*fb,*fc,fu) 
                   1848: #ifdef DEBUG
1.224     brouard  1849:       printf("\nmnbrak2 shift (*ax=%.12f, *fa=%.12lf), (*bx=%.12f, *fb=%.12lf), (*cx=%.12f, *fc=%.12lf)\n",*ax,*fa,*bx,*fb,*cx,*fc);
                   1850:       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  1851: #endif
                   1852:   } /* 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  1853: } 
                   1854: 
                   1855: /*************** linmin ************************/
1.162     brouard  1856: /* Given an n -dimensional point p[1..n] and an n -dimensional direction xi[1..n] , moves and
                   1857: resets p to where the function func(p) takes on a minimum along the direction xi from p ,
                   1858: and replaces xi by the actual vector displacement that p was moved. Also returns as fret
                   1859: the value of func at the returned location p . This is actually all accomplished by calling the
                   1860: routines mnbrak and brent .*/
1.126     brouard  1861: int ncom; 
                   1862: double *pcom,*xicom;
                   1863: double (*nrfunc)(double []); 
                   1864:  
1.224     brouard  1865: #ifdef LINMINORIGINAL
1.126     brouard  1866: void linmin(double p[], double xi[], int n, double *fret,double (*func)(double [])) 
1.224     brouard  1867: #else
                   1868: void linmin(double p[], double xi[], int n, double *fret,double (*func)(double []), int *flat) 
                   1869: #endif
1.126     brouard  1870: { 
                   1871:   double brent(double ax, double bx, double cx, 
                   1872:               double (*f)(double), double tol, double *xmin); 
                   1873:   double f1dim(double x); 
                   1874:   void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, 
                   1875:              double *fc, double (*func)(double)); 
                   1876:   int j; 
                   1877:   double xx,xmin,bx,ax; 
                   1878:   double fx,fb,fa;
1.187     brouard  1879: 
1.203     brouard  1880: #ifdef LINMINORIGINAL
                   1881: #else
                   1882:   double scale=10., axs, xxs; /* Scale added for infinity */
                   1883: #endif
                   1884:   
1.126     brouard  1885:   ncom=n; 
                   1886:   pcom=vector(1,n); 
                   1887:   xicom=vector(1,n); 
                   1888:   nrfunc=func; 
                   1889:   for (j=1;j<=n;j++) { 
                   1890:     pcom[j]=p[j]; 
1.202     brouard  1891:     xicom[j]=xi[j]; /* Former scale xi[j] of currrent direction i */
1.126     brouard  1892:   } 
1.187     brouard  1893: 
1.203     brouard  1894: #ifdef LINMINORIGINAL
                   1895:   xx=1.;
                   1896: #else
                   1897:   axs=0.0;
                   1898:   xxs=1.;
                   1899:   do{
                   1900:     xx= xxs;
                   1901: #endif
1.187     brouard  1902:     ax=0.;
                   1903:     mnbrak(&ax,&xx,&bx,&fa,&fx,&fb,f1dim);  /* Outputs: xtx[j]=pcom[j]+(*xx)*xicom[j]; fx=f(xtx[j]) */
                   1904:     /* brackets with inputs ax=0 and xx=1, but points, pcom=p, and directions values, xicom=xi, are sent via f1dim(x) */
                   1905:     /* 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))   */
                   1906:     /* Outputs: fa=f(p(j)) and fx=f(p(j) + xxs * xi(j) ) and f(bx)= f(p(j)+ bx* xi(j)) */
                   1907:     /* Given input ax=axs and xx=xxs, xx might be too far from ax to get a finite f(xx) */
                   1908:     /* Searches on line, outputs (ax, xx, bx) such that fx < min(fa and fb) */
                   1909:     /* 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  1910: #ifdef LINMINORIGINAL
                   1911: #else
                   1912:     if (fx != fx){
1.224     brouard  1913:                        xxs=xxs/scale; /* Trying a smaller xx, closer to initial ax=0 */
                   1914:                        printf("|");
                   1915:                        fprintf(ficlog,"|");
1.203     brouard  1916: #ifdef DEBUGLINMIN
1.224     brouard  1917:                        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  1918: #endif
                   1919:     }
1.224     brouard  1920:   }while(fx != fx && xxs > 1.e-5);
1.203     brouard  1921: #endif
                   1922:   
1.191     brouard  1923: #ifdef DEBUGLINMIN
                   1924:   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  1925:   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  1926: #endif
1.224     brouard  1927: #ifdef LINMINORIGINAL
                   1928: #else
                   1929:        if(fb == fx){ /* Flat function in the direction */
                   1930:                xmin=xx;
                   1931:     *flat=1;
                   1932:        }else{
                   1933:     *flat=0;
                   1934: #endif
                   1935:                /*Flat mnbrak2 shift (*ax=0.000000000000, *fa=51626.272983130431), (*bx=-1.618034000000, *fb=51590.149499362531), (*cx=-4.236068025156, *fc=51590.149499362531) */
1.187     brouard  1936:   *fret=brent(ax,xx,bx,f1dim,TOL,&xmin); /* Giving a bracketting triplet (ax, xx, bx), find a minimum, xmin, according to f1dim, *fret(xmin),*/
                   1937:   /* fa = f(p[j] + ax * xi[j]), fx = f(p[j] + xx * xi[j]), fb = f(p[j] + bx * xi[j]) */
                   1938:   /* fmin = f(p[j] + xmin * xi[j]) */
                   1939:   /* P+lambda n in that direction (lambdamin), with TOL between abscisses */
                   1940:   /* f1dim(xmin): for (j=1;j<=ncom;j++) xt[j]=pcom[j]+xmin*xicom[j]; */
1.126     brouard  1941: #ifdef DEBUG
1.224     brouard  1942:   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);
                   1943:   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);
                   1944: #endif
                   1945: #ifdef LINMINORIGINAL
                   1946: #else
                   1947:                        }
1.126     brouard  1948: #endif
1.191     brouard  1949: #ifdef DEBUGLINMIN
                   1950:   printf("linmin end ");
1.202     brouard  1951:   fprintf(ficlog,"linmin end ");
1.191     brouard  1952: #endif
1.126     brouard  1953:   for (j=1;j<=n;j++) { 
1.203     brouard  1954: #ifdef LINMINORIGINAL
                   1955:     xi[j] *= xmin; 
                   1956: #else
                   1957: #ifdef DEBUGLINMIN
                   1958:     if(xxs <1.0)
                   1959:       printf(" before xi[%d]=%12.8f", j,xi[j]);
                   1960: #endif
                   1961:     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) */
                   1962: #ifdef DEBUGLINMIN
                   1963:     if(xxs <1.0)
                   1964:       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 );
                   1965: #endif
                   1966: #endif
1.187     brouard  1967:     p[j] += xi[j]; /* Parameters values are updated accordingly */
1.126     brouard  1968:   } 
1.191     brouard  1969: #ifdef DEBUGLINMIN
1.203     brouard  1970:   printf("\n");
1.191     brouard  1971:   printf("Comparing last *frec(xmin=%12.8f)=%12.8f from Brent and frec(0.)=%12.8f \n", xmin, *fret, (*func)(p));
1.202     brouard  1972:   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  1973:   for (j=1;j<=n;j++) { 
1.202     brouard  1974:     printf(" xi[%d]= %14.10f p[%d]= %12.7f",j,xi[j],j,p[j]);
                   1975:     fprintf(ficlog," xi[%d]= %14.10f p[%d]= %12.7f",j,xi[j],j,p[j]);
                   1976:     if(j % ncovmodel == 0){
1.191     brouard  1977:       printf("\n");
1.202     brouard  1978:       fprintf(ficlog,"\n");
                   1979:     }
1.191     brouard  1980:   }
1.203     brouard  1981: #else
1.191     brouard  1982: #endif
1.126     brouard  1983:   free_vector(xicom,1,n); 
                   1984:   free_vector(pcom,1,n); 
                   1985: } 
                   1986: 
                   1987: 
                   1988: /*************** powell ************************/
1.162     brouard  1989: /*
                   1990: Minimization of a function func of n variables. Input consists of an initial starting point
                   1991: p[1..n] ; an initial matrix xi[1..n][1..n] , whose columns contain the initial set of di-
                   1992: rections (usually the n unit vectors); and ftol , the fractional tolerance in the function value
                   1993: such that failure to decrease by more than this amount on one iteration signals doneness. On
                   1994: output, p is set to the best point found, xi is the then-current direction set, fret is the returned
                   1995: function value at p , and iter is the number of iterations taken. The routine linmin is used.
                   1996:  */
1.224     brouard  1997: #ifdef LINMINORIGINAL
                   1998: #else
                   1999:        int *flatdir; /* Function is vanishing in that direction */
1.225     brouard  2000:        int flat=0, flatd=0; /* Function is vanishing in that direction */
1.224     brouard  2001: #endif
1.126     brouard  2002: void powell(double p[], double **xi, int n, double ftol, int *iter, double *fret, 
                   2003:            double (*func)(double [])) 
                   2004: { 
1.224     brouard  2005: #ifdef LINMINORIGINAL
                   2006:  void linmin(double p[], double xi[], int n, double *fret, 
1.126     brouard  2007:              double (*func)(double [])); 
1.224     brouard  2008: #else 
                   2009:  void linmin(double p[], double xi[], int n, double *fret, 
                   2010:                                                 double (*func)(double []),int *flat); 
                   2011: #endif
1.126     brouard  2012:   int i,ibig,j; 
                   2013:   double del,t,*pt,*ptt,*xit;
1.181     brouard  2014:   double directest;
1.126     brouard  2015:   double fp,fptt;
                   2016:   double *xits;
                   2017:   int niterf, itmp;
1.224     brouard  2018: #ifdef LINMINORIGINAL
                   2019: #else
                   2020: 
                   2021:   flatdir=ivector(1,n); 
                   2022:   for (j=1;j<=n;j++) flatdir[j]=0; 
                   2023: #endif
1.126     brouard  2024: 
                   2025:   pt=vector(1,n); 
                   2026:   ptt=vector(1,n); 
                   2027:   xit=vector(1,n); 
                   2028:   xits=vector(1,n); 
                   2029:   *fret=(*func)(p); 
                   2030:   for (j=1;j<=n;j++) pt[j]=p[j]; 
1.202     brouard  2031:   rcurr_time = time(NULL);  
1.126     brouard  2032:   for (*iter=1;;++(*iter)) { 
1.187     brouard  2033:     fp=(*fret); /* From former iteration or initial value */
1.126     brouard  2034:     ibig=0; 
                   2035:     del=0.0; 
1.157     brouard  2036:     rlast_time=rcurr_time;
                   2037:     /* (void) gettimeofday(&curr_time,&tzp); */
                   2038:     rcurr_time = time(NULL);  
                   2039:     curr_time = *localtime(&rcurr_time);
                   2040:     printf("\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret, rcurr_time-rlast_time, rcurr_time-rstart_time);fflush(stdout);
                   2041:     fprintf(ficlog,"\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret,rcurr_time-rlast_time, rcurr_time-rstart_time); fflush(ficlog);
                   2042: /*     fprintf(ficrespow,"%d %.12f %ld",*iter,*fret,curr_time.tm_sec-start_time.tm_sec); */
1.192     brouard  2043:     for (i=1;i<=n;i++) {
1.126     brouard  2044:       printf(" %d %.12f",i, p[i]);
                   2045:       fprintf(ficlog," %d %.12lf",i, p[i]);
                   2046:       fprintf(ficrespow," %.12lf", p[i]);
                   2047:     }
                   2048:     printf("\n");
                   2049:     fprintf(ficlog,"\n");
                   2050:     fprintf(ficrespow,"\n");fflush(ficrespow);
                   2051:     if(*iter <=3){
1.157     brouard  2052:       tml = *localtime(&rcurr_time);
                   2053:       strcpy(strcurr,asctime(&tml));
                   2054:       rforecast_time=rcurr_time; 
1.126     brouard  2055:       itmp = strlen(strcurr);
                   2056:       if(strcurr[itmp-1]=='\n')  /* Windows outputs with a new line */
1.224     brouard  2057:                                strcurr[itmp-1]='\0';
1.162     brouard  2058:       printf("\nConsidering the time needed for the last iteration #%d: %ld seconds,\n",*iter,rcurr_time-rlast_time);
1.157     brouard  2059:       fprintf(ficlog,"\nConsidering the time needed for this last iteration #%d: %ld seconds,\n",*iter,rcurr_time-rlast_time);
1.126     brouard  2060:       for(niterf=10;niterf<=30;niterf+=10){
1.224     brouard  2061:                                rforecast_time=rcurr_time+(niterf-*iter)*(rcurr_time-rlast_time);
                   2062:                                forecast_time = *localtime(&rforecast_time);
                   2063:                                strcpy(strfor,asctime(&forecast_time));
                   2064:                                itmp = strlen(strfor);
                   2065:                                if(strfor[itmp-1]=='\n')
                   2066:                                        strfor[itmp-1]='\0';
                   2067:                                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);
                   2068:                                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  2069:       }
                   2070:     }
1.187     brouard  2071:     for (i=1;i<=n;i++) { /* For each direction i */
                   2072:       for (j=1;j<=n;j++) xit[j]=xi[j][i]; /* Directions stored from previous iteration with previous scales */
1.126     brouard  2073:       fptt=(*fret); 
                   2074: #ifdef DEBUG
1.203     brouard  2075:       printf("fret=%lf, %lf, %lf \n", *fret, *fret, *fret);
                   2076:       fprintf(ficlog, "fret=%lf, %lf, %lf \n", *fret, *fret, *fret);
1.126     brouard  2077: #endif
1.203     brouard  2078:       printf("%d",i);fflush(stdout); /* print direction (parameter) i */
1.126     brouard  2079:       fprintf(ficlog,"%d",i);fflush(ficlog);
1.224     brouard  2080: #ifdef LINMINORIGINAL
1.188     brouard  2081:       linmin(p,xit,n,fret,func); /* Point p[n]. xit[n] has been loaded for direction i as input.*/
1.224     brouard  2082: #else
                   2083:       linmin(p,xit,n,fret,func,&flat); /* Point p[n]. xit[n] has been loaded for direction i as input.*/
                   2084:                        flatdir[i]=flat; /* Function is vanishing in that direction i */
                   2085: #endif
                   2086:                        /* Outputs are fret(new point p) p is updated and xit rescaled */
1.188     brouard  2087:       if (fabs(fptt-(*fret)) > del) { /* We are keeping the max gain on each of the n directions */
1.224     brouard  2088:                                /* because that direction will be replaced unless the gain del is small */
                   2089:                                /* in comparison with the 'probable' gain, mu^2, with the last average direction. */
                   2090:                                /* Unless the n directions are conjugate some gain in the determinant may be obtained */
                   2091:                                /* with the new direction. */
                   2092:                                del=fabs(fptt-(*fret)); 
                   2093:                                ibig=i; 
1.126     brouard  2094:       } 
                   2095: #ifdef DEBUG
                   2096:       printf("%d %.12e",i,(*fret));
                   2097:       fprintf(ficlog,"%d %.12e",i,(*fret));
                   2098:       for (j=1;j<=n;j++) {
1.224     brouard  2099:                                xits[j]=FMAX(fabs(p[j]-pt[j]),1.e-5);
                   2100:                                printf(" x(%d)=%.12e",j,xit[j]);
                   2101:                                fprintf(ficlog," x(%d)=%.12e",j,xit[j]);
1.126     brouard  2102:       }
                   2103:       for(j=1;j<=n;j++) {
1.225     brouard  2104:                                printf(" p(%d)=%.12e",j,p[j]);
                   2105:                                fprintf(ficlog," p(%d)=%.12e",j,p[j]);
1.126     brouard  2106:       }
                   2107:       printf("\n");
                   2108:       fprintf(ficlog,"\n");
                   2109: #endif
1.187     brouard  2110:     } /* end loop on each direction i */
                   2111:     /* Convergence test will use last linmin estimation (fret) and compare former iteration (fp) */ 
1.188     brouard  2112:     /* But p and xit have been updated at the end of linmin, *fret corresponds to new p, xit  */
1.187     brouard  2113:     /* New value of last point Pn is not computed, P(n-1) */
1.224     brouard  2114:       for(j=1;j<=n;j++) {
1.225     brouard  2115:                                if(flatdir[j] >0){
                   2116:                                        printf(" p(%d)=%lf flat=%d ",j,p[j],flatdir[j]);
                   2117:                                        fprintf(ficlog," p(%d)=%lf flat=%d ",j,p[j],flatdir[j]);
                   2118:                                }
                   2119:                                /* printf("\n"); */
                   2120:                                /* fprintf(ficlog,"\n"); */
                   2121:                        }
1.182     brouard  2122:     if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret))) { /* Did we reach enough precision? */
1.188     brouard  2123:       /* We could compare with a chi^2. chisquare(0.95,ddl=1)=3.84 */
                   2124:       /* By adding age*age in a model, the new -2LL should be lower and the difference follows a */
                   2125:       /* a chisquare statistics with 1 degree. To be significant at the 95% level, it should have */
                   2126:       /* decreased of more than 3.84  */
                   2127:       /* By adding age*age and V1*age the gain (-2LL) should be more than 5.99 (ddl=2) */
                   2128:       /* By using V1+V2+V3, the gain should be  7.82, compared with basic 1+age. */
                   2129:       /* By adding 10 parameters more the gain should be 18.31 */
1.224     brouard  2130:                        
1.188     brouard  2131:       /* Starting the program with initial values given by a former maximization will simply change */
                   2132:       /* the scales of the directions and the directions, because the are reset to canonical directions */
                   2133:       /* Thus the first calls to linmin will give new points and better maximizations until fp-(*fret) is */
                   2134:       /* under the tolerance value. If the tolerance is very small 1.e-9, it could last long.  */
1.126     brouard  2135: #ifdef DEBUG
                   2136:       int k[2],l;
                   2137:       k[0]=1;
                   2138:       k[1]=-1;
                   2139:       printf("Max: %.12e",(*func)(p));
                   2140:       fprintf(ficlog,"Max: %.12e",(*func)(p));
                   2141:       for (j=1;j<=n;j++) {
                   2142:        printf(" %.12e",p[j]);
                   2143:        fprintf(ficlog," %.12e",p[j]);
                   2144:       }
                   2145:       printf("\n");
                   2146:       fprintf(ficlog,"\n");
                   2147:       for(l=0;l<=1;l++) {
                   2148:        for (j=1;j<=n;j++) {
                   2149:          ptt[j]=p[j]+(p[j]-pt[j])*k[l];
                   2150:          printf("l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
                   2151:          fprintf(ficlog,"l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
                   2152:        }
                   2153:        printf("func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
                   2154:        fprintf(ficlog,"func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
                   2155:       }
                   2156: #endif
                   2157: 
1.224     brouard  2158: #ifdef LINMINORIGINAL
                   2159: #else
                   2160:       free_ivector(flatdir,1,n); 
                   2161: #endif
1.126     brouard  2162:       free_vector(xit,1,n); 
                   2163:       free_vector(xits,1,n); 
                   2164:       free_vector(ptt,1,n); 
                   2165:       free_vector(pt,1,n); 
                   2166:       return; 
1.192     brouard  2167:     } /* enough precision */ 
1.126     brouard  2168:     if (*iter == ITMAX) nrerror("powell exceeding maximum iterations."); 
1.181     brouard  2169:     for (j=1;j<=n;j++) { /* Computes the extrapolated point P_0 + 2 (P_n-P_0) */
1.126     brouard  2170:       ptt[j]=2.0*p[j]-pt[j]; 
                   2171:       xit[j]=p[j]-pt[j]; 
                   2172:       pt[j]=p[j]; 
                   2173:     } 
1.181     brouard  2174:     fptt=(*func)(ptt); /* f_3 */
1.224     brouard  2175: #ifdef NODIRECTIONCHANGEDUNTILNITER  /* No change in drections until some iterations are done */
                   2176:                if (*iter <=4) {
1.225     brouard  2177: #else
                   2178: #endif
1.224     brouard  2179: #ifdef POWELLNOF3INFF1TEST    /* skips test F3 <F1 */
1.192     brouard  2180: #else
1.161     brouard  2181:     if (fptt < fp) { /* If extrapolated point is better, decide if we keep that new direction or not */
1.192     brouard  2182: #endif
1.162     brouard  2183:       /* (x1 f1=fp), (x2 f2=*fret), (x3 f3=fptt), (xm fm) */
1.161     brouard  2184:       /* From x1 (P0) distance of x2 is at h and x3 is 2h */
1.162     brouard  2185:       /* Let f"(x2) be the 2nd derivative equal everywhere.  */
                   2186:       /* Then the parabolic through (x1,f1), (x2,f2) and (x3,f3) */
                   2187:       /* will reach at f3 = fm + h^2/2 f"m  ; f" = (f1 -2f2 +f3 ) / h**2 */
1.224     brouard  2188:       /* Conditional for using this new direction is that mu^2 = (f1-2f2+f3)^2 /2 < del or directest <0 */
                   2189:       /* also  lamda^2=(f1-f2)^2/mu² is a parasite solution of powell */
                   2190:       /* For powell, inclusion of this average direction is only if t(del)<0 or del inbetween mu^2 and lambda^2 */
1.161     brouard  2191:       /* t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)-del*SQR(fp-fptt); */
1.224     brouard  2192:       /*  Even if f3 <f1, directest can be negative and t >0 */
                   2193:       /* mu² and del² are equal when f3=f1 */
                   2194:                        /* f3 < f1 : mu² < del <= lambda^2 both test are equivalent */
                   2195:                        /* f3 < f1 : mu² < lambda^2 < del then directtest is negative and powell t is positive */
                   2196:                        /* f3 > f1 : lambda² < mu^2 < del then t is negative and directest >0  */
                   2197:                        /* f3 > f1 : lambda² < del < mu^2 then t is positive and directest >0  */
1.183     brouard  2198: #ifdef NRCORIGINAL
                   2199:       t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)- del*SQR(fp-fptt); /* Original Numerical Recipes in C*/
                   2200: #else
                   2201:       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  2202:       t= t- del*SQR(fp-fptt);
1.183     brouard  2203: #endif
1.202     brouard  2204:       directest = fp-2.0*(*fret)+fptt - 2.0 * del; /* If delta was big enough we change it for a new direction */
1.161     brouard  2205: #ifdef DEBUG
1.181     brouard  2206:       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);
                   2207:       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  2208:       printf("t3= %.12lf, t4= %.12lf, t3*= %.12lf, t4*= %.12lf\n",SQR(fp-(*fret)-del),SQR(fp-fptt),
                   2209:             (fp-(*fret)-del)*(fp-(*fret)-del),(fp-fptt)*(fp-fptt));
                   2210:       fprintf(ficlog,"t3= %.12lf, t4= %.12lf, t3*= %.12lf, t4*= %.12lf\n",SQR(fp-(*fret)-del),SQR(fp-fptt),
                   2211:             (fp-(*fret)-del)*(fp-(*fret)-del),(fp-fptt)*(fp-fptt));
                   2212:       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);
                   2213:       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);
                   2214: #endif
1.183     brouard  2215: #ifdef POWELLORIGINAL
                   2216:       if (t < 0.0) { /* Then we use it for new direction */
                   2217: #else
1.182     brouard  2218:       if (directest*t < 0.0) { /* Contradiction between both tests */
1.224     brouard  2219:                                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  2220:         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  2221:         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  2222:         fprintf(ficlog,"f1-2f2+f3= %.12lf, f1-f2-del= %.12lf, f1-f3= %.12lf\n",fp-2.0*(*fret)+fptt, fp -(*fret) -del, fp-fptt);
                   2223:       } 
1.181     brouard  2224:       if (directest < 0.0) { /* Then we use it for new direction */
                   2225: #endif
1.191     brouard  2226: #ifdef DEBUGLINMIN
1.224     brouard  2227:                                printf("Before linmin in direction P%d-P0\n",n);
                   2228:                                for (j=1;j<=n;j++) {
                   2229:                                        printf(" Before xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   2230:                                        fprintf(ficlog," Before xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   2231:                                        if(j % ncovmodel == 0){
                   2232:                                                printf("\n");
                   2233:                                                fprintf(ficlog,"\n");
                   2234:                                        }
                   2235:                                }
                   2236: #endif
                   2237: #ifdef LINMINORIGINAL
                   2238:                                linmin(p,xit,n,fret,func); /* computes minimum on the extrapolated direction: changes p and rescales xit.*/
                   2239: #else
                   2240:                                linmin(p,xit,n,fret,func,&flat); /* computes minimum on the extrapolated direction: changes p and rescales xit.*/
                   2241:                                flatdir[i]=flat; /* Function is vanishing in that direction i */
1.191     brouard  2242: #endif
1.224     brouard  2243: 
1.191     brouard  2244: #ifdef DEBUGLINMIN
1.224     brouard  2245:                                for (j=1;j<=n;j++) { 
                   2246:                                        printf("After xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   2247:                                        fprintf(ficlog,"After xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   2248:                                        if(j % ncovmodel == 0){
                   2249:                                                printf("\n");
                   2250:                                                fprintf(ficlog,"\n");
                   2251:                                        }
                   2252:                                }
                   2253: #endif
                   2254:                                for (j=1;j<=n;j++) { 
                   2255:                                        xi[j][ibig]=xi[j][n]; /* Replace direction with biggest decrease by last direction n */
                   2256:                                        xi[j][n]=xit[j];      /* and this nth direction by the by the average p_0 p_n */
                   2257:                                }
                   2258: #ifdef LINMINORIGINAL
                   2259: #else
1.225     brouard  2260:                                for (j=1, flatd=0;j<=n;j++) {
                   2261:                                        if(flatdir[j]>0)
                   2262:                                                flatd++;
                   2263:                                }
                   2264:                                if(flatd >0){
                   2265:                                        printf("%d flat directions\n",flatd);
                   2266:                                        fprintf(ficlog,"%d flat directions\n",flatd);
                   2267:                                        for (j=1;j<=n;j++) { 
                   2268:                                                if(flatdir[j]>0){
                   2269:                                                        printf("%d ",j);
                   2270:                                                        fprintf(ficlog,"%d ",j);
                   2271:                                                }
                   2272:                                        }
                   2273:                                        printf("\n");
                   2274:                                        fprintf(ficlog,"\n");
                   2275:                                }
1.191     brouard  2276: #endif
1.224     brouard  2277:                                printf("Gaining to use new average direction of P0 P%d instead of biggest increase direction %d :\n",n,ibig);
                   2278:                                fprintf(ficlog,"Gaining to use new average direction of P0 P%d instead of biggest increase direction %d :\n",n,ibig);
                   2279:                                
1.126     brouard  2280: #ifdef DEBUG
1.224     brouard  2281:                                printf("Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
                   2282:                                fprintf(ficlog,"Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
                   2283:                                for(j=1;j<=n;j++){
                   2284:                                        printf(" %lf",xit[j]);
                   2285:                                        fprintf(ficlog," %lf",xit[j]);
                   2286:                                }
                   2287:                                printf("\n");
                   2288:                                fprintf(ficlog,"\n");
1.126     brouard  2289: #endif
1.192     brouard  2290:       } /* end of t or directest negative */
1.224     brouard  2291: #ifdef POWELLNOF3INFF1TEST
1.192     brouard  2292: #else
1.162     brouard  2293:     } /* end if (fptt < fp)  */
1.192     brouard  2294: #endif
1.225     brouard  2295: #ifdef NODIRECTIONCHANGEDUNTILNITER  /* No change in drections until some iterations are done */
1.224     brouard  2296:                } /*NODIRECTIONCHANGEDUNTILNITER  No change in drections until some iterations are done */
1.225     brouard  2297: #else
1.224     brouard  2298: #endif
1.192     brouard  2299:   } /* loop iteration */ 
1.126     brouard  2300: } 
                   2301: 
                   2302: /**** Prevalence limit (stable or period prevalence)  ****************/
                   2303: 
1.203     brouard  2304: double **prevalim(double **prlim, int nlstate, double x[], double age, double **oldm, double **savm, double ftolpl, int *ncvyear, int ij)
1.126     brouard  2305: {
1.218     brouard  2306:   /* Computes the prevalence limit in each live state at age x and for covariate ij by left multiplying the unit
1.203     brouard  2307:      matrix by transitions matrix until convergence is reached with precision ftolpl */
1.206     brouard  2308:   /* Wx= Wx-1 Px-1= Wx-2 Px-2 Px-1  = Wx-n Px-n ... Px-2 Px-1 I */
                   2309:   /* Wx is row vector: population in state 1, population in state 2, population dead */
                   2310:   /* or prevalence in state 1, prevalence in state 2, 0 */
                   2311:   /* newm is the matrix after multiplications, its rows are identical at a factor */
                   2312:   /* Initial matrix pimij */
                   2313:   /* {0.85204250825084937, 0.13044499163996345, 0.017512500109187184, */
                   2314:   /* 0.090851990222114765, 0.88271245433047185, 0.026435555447413338, */
                   2315:   /*  0,                   0                  , 1} */
                   2316:   /*
                   2317:    * and after some iteration: */
                   2318:   /* {0.45504275246439968, 0.42731458730878791, 0.11764266022681241, */
                   2319:   /*  0.45201005341706885, 0.42865420071559901, 0.11933574586733192, */
                   2320:   /*  0,                   0                  , 1} */
                   2321:   /* And prevalence by suppressing the deaths are close to identical rows in prlim: */
                   2322:   /* {0.51571254859325999, 0.4842874514067399, */
                   2323:   /*  0.51326036147820708, 0.48673963852179264} */
                   2324:   /* If we start from prlim again, prlim tends to a constant matrix */
                   2325: 
1.126     brouard  2326:   int i, ii,j,k;
1.209     brouard  2327:   double *min, *max, *meandiff, maxmax,sumnew=0.;
1.145     brouard  2328:   /* double **matprod2(); */ /* test */
1.218     brouard  2329:   double **out, cov[NCOVMAX+1], **pmij(); /* **pmmij is a global variable feeded with oldms etc */
1.126     brouard  2330:   double **newm;
1.209     brouard  2331:   double agefin, delaymax=200. ; /* 100 Max number of years to converge */
1.203     brouard  2332:   int ncvloop=0;
1.169     brouard  2333:   
1.209     brouard  2334:   min=vector(1,nlstate);
                   2335:   max=vector(1,nlstate);
                   2336:   meandiff=vector(1,nlstate);
                   2337: 
1.218     brouard  2338:        /* Starting with matrix unity */
1.126     brouard  2339:   for (ii=1;ii<=nlstate+ndeath;ii++)
                   2340:     for (j=1;j<=nlstate+ndeath;j++){
                   2341:       oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2342:     }
1.169     brouard  2343:   
                   2344:   cov[1]=1.;
                   2345:   
                   2346:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
1.202     brouard  2347:   /* Start at agefin= age, computes the matrix of passage and loops decreasing agefin until convergence is reached */
1.126     brouard  2348:   for(agefin=age-stepm/YEARM; agefin>=age-delaymax; agefin=agefin-stepm/YEARM){
1.202     brouard  2349:     ncvloop++;
1.126     brouard  2350:     newm=savm;
                   2351:     /* Covariates have to be included here again */
1.138     brouard  2352:     cov[2]=agefin;
1.187     brouard  2353:     if(nagesqr==1)
                   2354:       cov[3]= agefin*agefin;;
1.138     brouard  2355:     for (k=1; k<=cptcovn;k++) {
1.200     brouard  2356:       /* cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
1.218     brouard  2357:                        /* Here comes the value of the covariate 'ij' */
1.200     brouard  2358:       cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)];
1.198     brouard  2359:       /* 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  2360:     }
1.186     brouard  2361:     /*wrong? for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
1.200     brouard  2362:     /* for (k=1; k<=cptcovage;k++) cov[2+nagesqr+Tage[k]]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]*cov[2]; */
                   2363:     for (k=1; k<=cptcovage;k++) cov[2+nagesqr+Tage[k]]=nbcode[Tvar[k]][codtabm(ij,k)]*cov[2];
1.186     brouard  2364:     for (k=1; k<=cptcovprod;k++) /* Useless */
1.200     brouard  2365:       /* cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,Tvard[k][1])] * nbcode[Tvard[k][2]][codtabm(ij,Tvard[k][2])]; */
                   2366:       cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * nbcode[Tvard[k][2]][codtabm(ij,k)];
1.138     brouard  2367:     
                   2368:     /*printf("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/
                   2369:     /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/
                   2370:     /*printf("ij=%d cov[3]=%lf \n",ij, cov[3]);*/
1.145     brouard  2371:     /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
                   2372:     /* out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /\* Bug Valgrind *\/ */
1.218     brouard  2373:                /* age and covariate values of ij are in 'cov' */
1.142     brouard  2374:     out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /* Bug Valgrind */
1.138     brouard  2375:     
1.126     brouard  2376:     savm=oldm;
                   2377:     oldm=newm;
1.209     brouard  2378: 
                   2379:     for(j=1; j<=nlstate; j++){
                   2380:       max[j]=0.;
                   2381:       min[j]=1.;
                   2382:     }
                   2383:     for(i=1;i<=nlstate;i++){
                   2384:       sumnew=0;
                   2385:       for(k=1; k<=ndeath; k++) sumnew+=newm[i][nlstate+k];
                   2386:       for(j=1; j<=nlstate; j++){ 
                   2387:        prlim[i][j]= newm[i][j]/(1-sumnew);
                   2388:        max[j]=FMAX(max[j],prlim[i][j]);
                   2389:        min[j]=FMIN(min[j],prlim[i][j]);
                   2390:       }
                   2391:     }
                   2392: 
1.126     brouard  2393:     maxmax=0.;
1.209     brouard  2394:     for(j=1; j<=nlstate; j++){
                   2395:       meandiff[j]=(max[j]-min[j])/(max[j]+min[j])*2.; /* mean difference for each column */
                   2396:       maxmax=FMAX(maxmax,meandiff[j]);
                   2397:       /* 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  2398:     } /* j loop */
1.203     brouard  2399:     *ncvyear= (int)age- (int)agefin;
1.208     brouard  2400:     /* 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  2401:     if(maxmax < ftolpl){
1.209     brouard  2402:       /* printf("maxmax=%lf ncvloop=%ld, age=%d, agefin=%d ncvyear=%d \n", maxmax, ncvloop, (int)age, (int)agefin, *ncvyear); */
                   2403:       free_vector(min,1,nlstate);
                   2404:       free_vector(max,1,nlstate);
                   2405:       free_vector(meandiff,1,nlstate);
1.126     brouard  2406:       return prlim;
                   2407:     }
1.169     brouard  2408:   } /* age loop */
1.208     brouard  2409:     /* After some age loop it doesn't converge */
1.209     brouard  2410:   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  2411: 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  2412:   /* 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); */
                   2413:   free_vector(min,1,nlstate);
                   2414:   free_vector(max,1,nlstate);
                   2415:   free_vector(meandiff,1,nlstate);
1.208     brouard  2416:   
1.169     brouard  2417:   return prlim; /* should not reach here */
1.126     brouard  2418: }
                   2419: 
1.217     brouard  2420: 
                   2421:  /**** Back Prevalence limit (stable or period prevalence)  ****************/
                   2422: 
1.218     brouard  2423:  /* 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) */
                   2424:  /* 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) */
                   2425:  double **bprevalim(double **bprlim, double ***prevacurrent, int nlstate, double x[], double age, double ftolpl, int *ncvyear, int ij)
1.217     brouard  2426: {
1.218     brouard  2427:   /* Computes the prevalence limit in each live state at age x and covariate ij by left multiplying the unit
1.217     brouard  2428:      matrix by transitions matrix until convergence is reached with precision ftolpl */
                   2429:   /* Wx= Wx-1 Px-1= Wx-2 Px-2 Px-1  = Wx-n Px-n ... Px-2 Px-1 I */
                   2430:   /* Wx is row vector: population in state 1, population in state 2, population dead */
                   2431:   /* or prevalence in state 1, prevalence in state 2, 0 */
                   2432:   /* newm is the matrix after multiplications, its rows are identical at a factor */
                   2433:   /* Initial matrix pimij */
                   2434:   /* {0.85204250825084937, 0.13044499163996345, 0.017512500109187184, */
                   2435:   /* 0.090851990222114765, 0.88271245433047185, 0.026435555447413338, */
                   2436:   /*  0,                   0                  , 1} */
                   2437:   /*
                   2438:    * and after some iteration: */
                   2439:   /* {0.45504275246439968, 0.42731458730878791, 0.11764266022681241, */
                   2440:   /*  0.45201005341706885, 0.42865420071559901, 0.11933574586733192, */
                   2441:   /*  0,                   0                  , 1} */
                   2442:   /* And prevalence by suppressing the deaths are close to identical rows in prlim: */
                   2443:   /* {0.51571254859325999, 0.4842874514067399, */
                   2444:   /*  0.51326036147820708, 0.48673963852179264} */
                   2445:   /* If we start from prlim again, prlim tends to a constant matrix */
                   2446: 
                   2447:   int i, ii,j,k;
                   2448:   double *min, *max, *meandiff, maxmax,sumnew=0.;
                   2449:   /* double **matprod2(); */ /* test */
                   2450:   double **out, cov[NCOVMAX+1], **bmij();
                   2451:   double **newm;
1.218     brouard  2452:   double        **dnewm, **doldm, **dsavm;  /* for use */
                   2453:   double        **oldm, **savm;  /* for use */
                   2454: 
1.217     brouard  2455:   double agefin, delaymax=200. ; /* 100 Max number of years to converge */
                   2456:   int ncvloop=0;
                   2457:   
                   2458:   min=vector(1,nlstate);
                   2459:   max=vector(1,nlstate);
                   2460:   meandiff=vector(1,nlstate);
                   2461: 
1.218     brouard  2462:        dnewm=ddnewms; doldm=ddoldms; dsavm=ddsavms;
                   2463:        oldm=oldms; savm=savms;
                   2464: 
                   2465:        /* Starting with matrix unity */
                   2466:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   2467:                for (j=1;j<=nlstate+ndeath;j++){
1.217     brouard  2468:       oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2469:     }
                   2470:   
                   2471:   cov[1]=1.;
                   2472:   
                   2473:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
                   2474:   /* Start at agefin= age, computes the matrix of passage and loops decreasing agefin until convergence is reached */
1.218     brouard  2475:   /* for(agefin=age+stepm/YEARM; agefin<=age+delaymax; agefin=agefin+stepm/YEARM){ /\* A changer en age *\/ */
                   2476:   for(agefin=age; agefin<AGESUP; agefin=agefin+stepm/YEARM){ /* A changer en age */
1.217     brouard  2477:     ncvloop++;
1.218     brouard  2478:     newm=savm; /* oldm should be kept from previous iteration or unity at start */
                   2479:                /* newm points to the allocated table savm passed by the function it can be written, savm could be reallocated */
1.217     brouard  2480:     /* Covariates have to be included here again */
                   2481:     cov[2]=agefin;
                   2482:     if(nagesqr==1)
                   2483:       cov[3]= agefin*agefin;;
                   2484:     for (k=1; k<=cptcovn;k++) {
                   2485:       /* cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
                   2486:       cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)];
                   2487:       /* 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])]); */
                   2488:     }
                   2489:     /*wrong? for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
                   2490:     /* for (k=1; k<=cptcovage;k++) cov[2+nagesqr+Tage[k]]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]*cov[2]; */
                   2491:     for (k=1; k<=cptcovage;k++) cov[2+nagesqr+Tage[k]]=nbcode[Tvar[k]][codtabm(ij,k)]*cov[2];
                   2492:     for (k=1; k<=cptcovprod;k++) /* Useless */
                   2493:       /* cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,Tvard[k][1])] * nbcode[Tvard[k][2]][codtabm(ij,Tvard[k][2])]; */
                   2494:       cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * nbcode[Tvard[k][2]][codtabm(ij,k)];
                   2495:     
                   2496:     /*printf("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/
                   2497:     /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/
                   2498:     /*printf("ij=%d cov[3]=%lf \n",ij, cov[3]);*/
                   2499:     /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
                   2500:     /* out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /\* Bug Valgrind *\/ */
1.218     brouard  2501:                /* ij should be linked to the correct index of cov */
                   2502:                /* age and covariate values ij are in 'cov', but we need to pass
                   2503:                 * ij for the observed prevalence at age and status and covariate
                   2504:                 * number:  prevacurrent[(int)agefin][ii][ij]
                   2505:                 */
                   2506:     /* 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 *\/ */
                   2507:     /* 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 *\/ */
                   2508:     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  2509:     savm=oldm;
                   2510:     oldm=newm;
                   2511:     for(j=1; j<=nlstate; j++){
                   2512:       max[j]=0.;
                   2513:       min[j]=1.;
                   2514:     }
                   2515:     for(j=1; j<=nlstate; j++){ 
                   2516:       for(i=1;i<=nlstate;i++){
1.218     brouard  2517:                                /* bprlim[i][j]= newm[i][j]/(1-sumnew); */
                   2518:                                bprlim[i][j]= newm[i][j];
                   2519:                                max[i]=FMAX(max[i],bprlim[i][j]); /* Max in line */
                   2520:                                min[i]=FMIN(min[i],bprlim[i][j]);
1.217     brouard  2521:       }
                   2522:     }
1.218     brouard  2523:                
1.217     brouard  2524:     maxmax=0.;
                   2525:     for(i=1; i<=nlstate; i++){
                   2526:       meandiff[i]=(max[i]-min[i])/(max[i]+min[i])*2.; /* mean difference for each column */
                   2527:       maxmax=FMAX(maxmax,meandiff[i]);
                   2528:       /* 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); */
                   2529:     } /* j loop */
                   2530:     *ncvyear= -( (int)age- (int)agefin);
1.218     brouard  2531:     /* printf("Back maxmax=%lf ncvloop=%d, age=%d, agefin=%d ncvyear=%d \n", maxmax, ncvloop, (int)age, (int)agefin, *ncvyear);*/
1.217     brouard  2532:     if(maxmax < ftolpl){
1.220     brouard  2533:       /* printf("OK Back maxmax=%lf ncvloop=%d, age=%d, agefin=%d ncvyear=%d \n", maxmax, ncvloop, (int)age, (int)agefin, *ncvyear); */
1.217     brouard  2534:       free_vector(min,1,nlstate);
                   2535:       free_vector(max,1,nlstate);
                   2536:       free_vector(meandiff,1,nlstate);
                   2537:       return bprlim;
                   2538:     }
                   2539:   } /* age loop */
                   2540:     /* After some age loop it doesn't converge */
                   2541:   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\
                   2542: 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);
                   2543:   /* 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); */
                   2544:   free_vector(min,1,nlstate);
                   2545:   free_vector(max,1,nlstate);
                   2546:   free_vector(meandiff,1,nlstate);
                   2547:   
                   2548:   return bprlim; /* should not reach here */
                   2549: }
                   2550: 
1.126     brouard  2551: /*************** transition probabilities ***************/ 
                   2552: 
                   2553: double **pmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )
                   2554: {
1.138     brouard  2555:   /* According to parameters values stored in x and the covariate's values stored in cov,
                   2556:      computes the probability to be observed in state j being in state i by appying the
                   2557:      model to the ncovmodel covariates (including constant and age).
                   2558:      lnpijopii=ln(pij/pii)= aij+bij*age+cij*v1+dij*v2+... = sum_nc=1^ncovmodel xij(nc)*cov[nc]
                   2559:      and, according on how parameters are entered, the position of the coefficient xij(nc) of the
                   2560:      ncth covariate in the global vector x is given by the formula:
                   2561:      j<i nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel
                   2562:      j>=i nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel
                   2563:      Computes ln(pij/pii) (lnpijopii), deduces pij/pii by exponentiation,
                   2564:      sums on j different of i to get 1-pii/pii, deduces pii, and then all pij.
                   2565:      Outputs ps[i][j] the probability to be observed in j being in j according to
                   2566:      the values of the covariates cov[nc] and corresponding parameter values x[nc+shiftij]
                   2567:   */
                   2568:   double s1, lnpijopii;
1.126     brouard  2569:   /*double t34;*/
1.164     brouard  2570:   int i,j, nc, ii, jj;
1.126     brouard  2571: 
1.223     brouard  2572:   for(i=1; i<= nlstate; i++){
                   2573:     for(j=1; j<i;j++){
                   2574:       for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
                   2575:        /*lnpijopii += param[i][j][nc]*cov[nc];*/
                   2576:        lnpijopii += x[nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel]*cov[nc];
                   2577:        /*       printf("Int j<i s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
                   2578:       }
                   2579:       ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
                   2580:       /*       printf("s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
                   2581:     }
                   2582:     for(j=i+1; j<=nlstate+ndeath;j++){
                   2583:       for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
                   2584:        /*lnpijopii += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];*/
                   2585:        lnpijopii += x[nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel]*cov[nc];
                   2586:        /*        printf("Int j>i s1=%.17e, lnpijopii=%.17e %lx %lx\n",s1,lnpijopii,s1,lnpijopii); */
                   2587:       }
                   2588:       ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
                   2589:     }
                   2590:   }
1.218     brouard  2591:   
1.223     brouard  2592:   for(i=1; i<= nlstate; i++){
                   2593:     s1=0;
                   2594:     for(j=1; j<i; j++){
                   2595:       s1+=exp(ps[i][j]); /* In fact sums pij/pii */
                   2596:       /*printf("debug1 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
                   2597:     }
                   2598:     for(j=i+1; j<=nlstate+ndeath; j++){
                   2599:       s1+=exp(ps[i][j]); /* In fact sums pij/pii */
                   2600:       /*printf("debug2 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
                   2601:     }
                   2602:     /* s1= sum_{j<>i} pij/pii=(1-pii)/pii and thus pii is known from s1 */
                   2603:     ps[i][i]=1./(s1+1.);
                   2604:     /* Computing other pijs */
                   2605:     for(j=1; j<i; j++)
                   2606:       ps[i][j]= exp(ps[i][j])*ps[i][i];
                   2607:     for(j=i+1; j<=nlstate+ndeath; j++)
                   2608:       ps[i][j]= exp(ps[i][j])*ps[i][i];
                   2609:     /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */
                   2610:   } /* end i */
1.218     brouard  2611:   
1.223     brouard  2612:   for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){
                   2613:     for(jj=1; jj<= nlstate+ndeath; jj++){
                   2614:       ps[ii][jj]=0;
                   2615:       ps[ii][ii]=1;
                   2616:     }
                   2617:   }
1.218     brouard  2618:   
                   2619:   
1.223     brouard  2620:   /* for(ii=1; ii<= nlstate+ndeath; ii++){ */
                   2621:   /*   for(jj=1; jj<= nlstate+ndeath; jj++){ */
                   2622:   /*   printf(" pmij  ps[%d][%d]=%lf ",ii,jj,ps[ii][jj]); */
                   2623:   /*   } */
                   2624:   /*   printf("\n "); */
                   2625:   /* } */
                   2626:   /* printf("\n ");printf("%lf ",cov[2]);*/
                   2627:   /*
                   2628:     for(i=1; i<= npar; i++) printf("%f ",x[i]);
1.218     brouard  2629:                goto end;*/
1.223     brouard  2630:   return ps;
1.126     brouard  2631: }
                   2632: 
1.218     brouard  2633: /*************** backward transition probabilities ***************/ 
                   2634: 
                   2635:  /* 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 ) */
                   2636: /* double **bmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate,  double ***prevacurrent, double ***dnewm, double **doldm, double **dsavm, int ij ) */
                   2637:  double **bmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate,  double ***prevacurrent, int ij )
                   2638: {
1.222     brouard  2639:   /* Computes the backward probability at age agefin and covariate ij
                   2640:    * and returns in **ps as well as **bmij.
                   2641:    */
1.218     brouard  2642:   int i, ii, j,k;
1.222     brouard  2643:   
                   2644:   double **out, **pmij();
                   2645:   double sumnew=0.;
1.218     brouard  2646:   double agefin;
1.222     brouard  2647:   
                   2648:   double **dnewm, **dsavm, **doldm;
                   2649:   double **bbmij;
                   2650:   
1.218     brouard  2651:   doldm=ddoldms; /* global pointers */
1.222     brouard  2652:   dnewm=ddnewms;
                   2653:   dsavm=ddsavms;
                   2654:   
                   2655:   agefin=cov[2];
                   2656:   /* bmij *//* age is cov[2], ij is included in cov, but we need for
                   2657:      the observed prevalence (with this covariate ij) */
                   2658:   dsavm=pmij(pmmij,cov,ncovmodel,x,nlstate);
                   2659:   /* We do have the matrix Px in savm  and we need pij */
                   2660:   for (j=1;j<=nlstate+ndeath;j++){
                   2661:     sumnew=0.; /* w1 p11 + w2 p21 only on live states */
                   2662:     for (ii=1;ii<=nlstate;ii++){
                   2663:       sumnew+=dsavm[ii][j]*prevacurrent[(int)agefin][ii][ij];
                   2664:     } /* sumnew is (N11+N21)/N..= N.1/N.. = sum on i of w_i pij */
                   2665:     for (ii=1;ii<=nlstate+ndeath;ii++){
                   2666:       if(sumnew >= 1.e-10){
                   2667:        /* if(agefin >= agemaxpar && agefin <= agemaxpar+stepm/YEARM){ */
                   2668:        /*      doldm[ii][j]=(ii==j ? 1./sumnew : 0.0); */
                   2669:        /* }else if(agefin >= agemaxpar+stepm/YEARM){ */
                   2670:        /*      doldm[ii][j]=(ii==j ? 1./sumnew : 0.0); */
                   2671:        /* }else */
                   2672:        doldm[ii][j]=(ii==j ? 1./sumnew : 0.0);
                   2673:       }else{
                   2674:        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);
                   2675:       }
                   2676:     } /*End ii */
                   2677:   } /* End j, At the end doldm is diag[1/(w_1p1i+w_2 p2i)] */
                   2678:   /* left Product of this diag matrix by dsavm=Px (newm=dsavm*doldm) */
                   2679:   bbmij=matprod2(dnewm, dsavm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, doldm); /* Bug Valgrind */
                   2680:   /* dsavm=doldm; /\* dsavm is now diag [1/(w_1p1i+w_2 p2i)] but can be overwritten*\/ */
                   2681:   /* doldm=dnewm; /\* doldm is now Px * diag [1/(w_1p1i+w_2 p2i)] *\/ */
                   2682:   /* dnewm=dsavm; /\* doldm is now Px * diag [1/(w_1p1i+w_2 p2i)] *\/ */
                   2683:   /* left Product of this matrix by diag matrix of prevalences (savm) */
                   2684:   for (j=1;j<=nlstate+ndeath;j++){
                   2685:     for (ii=1;ii<=nlstate+ndeath;ii++){
                   2686:       dsavm[ii][j]=(ii==j ? prevacurrent[(int)agefin][ii][ij] : 0.0);
                   2687:     }
                   2688:   } /* End j, At the end oldm is diag[1/(w_1p1i+w_2 p2i)] */
                   2689:   ps=matprod2(doldm, dsavm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, dnewm); /* Bug Valgrind */
                   2690:   /* newm or out is now diag[w_i] * Px * diag [1/(w_1p1i+w_2 p2i)] */
                   2691:   /* end bmij */
                   2692:   return ps; 
1.218     brouard  2693: }
1.217     brouard  2694: /*************** transition probabilities ***************/ 
                   2695: 
1.218     brouard  2696: double **bpmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )
1.217     brouard  2697: {
                   2698:   /* According to parameters values stored in x and the covariate's values stored in cov,
                   2699:      computes the probability to be observed in state j being in state i by appying the
                   2700:      model to the ncovmodel covariates (including constant and age).
                   2701:      lnpijopii=ln(pij/pii)= aij+bij*age+cij*v1+dij*v2+... = sum_nc=1^ncovmodel xij(nc)*cov[nc]
                   2702:      and, according on how parameters are entered, the position of the coefficient xij(nc) of the
                   2703:      ncth covariate in the global vector x is given by the formula:
                   2704:      j<i nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel
                   2705:      j>=i nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel
                   2706:      Computes ln(pij/pii) (lnpijopii), deduces pij/pii by exponentiation,
                   2707:      sums on j different of i to get 1-pii/pii, deduces pii, and then all pij.
                   2708:      Outputs ps[i][j] the probability to be observed in j being in j according to
                   2709:      the values of the covariates cov[nc] and corresponding parameter values x[nc+shiftij]
                   2710:   */
                   2711:   double s1, lnpijopii;
                   2712:   /*double t34;*/
                   2713:   int i,j, nc, ii, jj;
                   2714: 
1.218     brouard  2715:        for(i=1; i<= nlstate; i++){
                   2716:                for(j=1; j<i;j++){
                   2717:                        for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
                   2718:                                /*lnpijopii += param[i][j][nc]*cov[nc];*/
                   2719:                                lnpijopii += x[nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel]*cov[nc];
                   2720:                                /*       printf("Int j<i s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
                   2721:                        }
                   2722:                        ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
                   2723:                        /*      printf("s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
                   2724:                }
                   2725:                for(j=i+1; j<=nlstate+ndeath;j++){
                   2726:                        for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
                   2727:                                /*lnpijopii += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];*/
                   2728:                                lnpijopii += x[nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel]*cov[nc];
                   2729:                                /*        printf("Int j>i s1=%.17e, lnpijopii=%.17e %lx %lx\n",s1,lnpijopii,s1,lnpijopii); */
                   2730:                        }
                   2731:                        ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
                   2732:                }
                   2733:        }
                   2734:        
                   2735:        for(i=1; i<= nlstate; i++){
                   2736:                s1=0;
                   2737:                for(j=1; j<i; j++){
                   2738:                        s1+=exp(ps[i][j]); /* In fact sums pij/pii */
                   2739:                        /*printf("debug1 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
                   2740:                }
                   2741:                for(j=i+1; j<=nlstate+ndeath; j++){
                   2742:                        s1+=exp(ps[i][j]); /* In fact sums pij/pii */
                   2743:                        /*printf("debug2 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
                   2744:                }
                   2745:                /* s1= sum_{j<>i} pij/pii=(1-pii)/pii and thus pii is known from s1 */
                   2746:                ps[i][i]=1./(s1+1.);
                   2747:                /* Computing other pijs */
                   2748:                for(j=1; j<i; j++)
                   2749:                        ps[i][j]= exp(ps[i][j])*ps[i][i];
                   2750:                for(j=i+1; j<=nlstate+ndeath; j++)
                   2751:                        ps[i][j]= exp(ps[i][j])*ps[i][i];
                   2752:                /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */
                   2753:        } /* end i */
                   2754:        
                   2755:        for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){
                   2756:                for(jj=1; jj<= nlstate+ndeath; jj++){
                   2757:                        ps[ii][jj]=0;
                   2758:                        ps[ii][ii]=1;
                   2759:                }
                   2760:        }
                   2761:        /* Added for backcast */ /* Transposed matrix too */
                   2762:        for(jj=1; jj<= nlstate+ndeath; jj++){
                   2763:                s1=0.;
                   2764:                for(ii=1; ii<= nlstate+ndeath; ii++){
                   2765:                        s1+=ps[ii][jj];
                   2766:                }
                   2767:                for(ii=1; ii<= nlstate; ii++){
                   2768:                        ps[ii][jj]=ps[ii][jj]/s1;
                   2769:                }
                   2770:        }
                   2771:        /* Transposition */
                   2772:        for(jj=1; jj<= nlstate+ndeath; jj++){
                   2773:                for(ii=jj; ii<= nlstate+ndeath; ii++){
                   2774:                        s1=ps[ii][jj];
                   2775:                        ps[ii][jj]=ps[jj][ii];
                   2776:                        ps[jj][ii]=s1;
                   2777:                }
                   2778:        }
                   2779:        /* for(ii=1; ii<= nlstate+ndeath; ii++){ */
                   2780:        /*   for(jj=1; jj<= nlstate+ndeath; jj++){ */
                   2781:        /*      printf(" pmij  ps[%d][%d]=%lf ",ii,jj,ps[ii][jj]); */
                   2782:        /*   } */
                   2783:        /*   printf("\n "); */
                   2784:        /* } */
                   2785:        /* printf("\n ");printf("%lf ",cov[2]);*/
                   2786:        /*
                   2787:                for(i=1; i<= npar; i++) printf("%f ",x[i]);
                   2788:                goto end;*/
                   2789:        return ps;
1.217     brouard  2790: }
                   2791: 
                   2792: 
1.126     brouard  2793: /**************** Product of 2 matrices ******************/
                   2794: 
1.145     brouard  2795: double **matprod2(double **out, double **in,int nrl, int nrh, int ncl, int nch, int ncolol, int ncoloh, double **b)
1.126     brouard  2796: {
                   2797:   /* Computes the matrix product of in(1,nrh-nrl+1)(1,nch-ncl+1) times
                   2798:      b(1,nch-ncl+1)(1,ncoloh-ncolol+1) into out(...) */
                   2799:   /* in, b, out are matrice of pointers which should have been initialized 
                   2800:      before: only the contents of out is modified. The function returns
                   2801:      a pointer to pointers identical to out */
1.145     brouard  2802:   int i, j, k;
1.126     brouard  2803:   for(i=nrl; i<= nrh; i++)
1.145     brouard  2804:     for(k=ncolol; k<=ncoloh; k++){
                   2805:       out[i][k]=0.;
                   2806:       for(j=ncl; j<=nch; j++)
                   2807:        out[i][k] +=in[i][j]*b[j][k];
                   2808:     }
1.126     brouard  2809:   return out;
                   2810: }
                   2811: 
                   2812: 
                   2813: /************* Higher Matrix Product ***************/
                   2814: 
                   2815: double ***hpxij(double ***po, int nhstepm, double age, int hstepm, double *x, int nlstate, int stepm, double **oldm, double **savm, int ij )
                   2816: {
1.218     brouard  2817:   /* Computes the transition matrix starting at age 'age' and combination of covariate values corresponding to ij over 
1.126     brouard  2818:      'nhstepm*hstepm*stepm' months (i.e. until
                   2819:      age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying 
                   2820:      nhstepm*hstepm matrices. 
                   2821:      Output is stored in matrix po[i][j][h] for h every 'hstepm' step 
                   2822:      (typically every 2 years instead of every month which is too big 
                   2823:      for the memory).
                   2824:      Model is determined by parameters x and covariates have to be 
                   2825:      included manually here. 
                   2826: 
                   2827:      */
                   2828: 
                   2829:   int i, j, d, h, k;
1.131     brouard  2830:   double **out, cov[NCOVMAX+1];
1.126     brouard  2831:   double **newm;
1.187     brouard  2832:   double agexact;
1.214     brouard  2833:   double agebegin, ageend;
1.126     brouard  2834: 
                   2835:   /* Hstepm could be zero and should return the unit matrix */
                   2836:   for (i=1;i<=nlstate+ndeath;i++)
                   2837:     for (j=1;j<=nlstate+ndeath;j++){
                   2838:       oldm[i][j]=(i==j ? 1.0 : 0.0);
                   2839:       po[i][j][0]=(i==j ? 1.0 : 0.0);
                   2840:     }
                   2841:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
                   2842:   for(h=1; h <=nhstepm; h++){
                   2843:     for(d=1; d <=hstepm; d++){
                   2844:       newm=savm;
                   2845:       /* Covariates have to be included here again */
                   2846:       cov[1]=1.;
1.214     brouard  2847:       agexact=age+((h-1)*hstepm + (d-1))*stepm/YEARM; /* age just before transition */
1.187     brouard  2848:       cov[2]=agexact;
                   2849:       if(nagesqr==1)
1.227     brouard  2850:        cov[3]= agexact*agexact;
1.131     brouard  2851:       for (k=1; k<=cptcovn;k++) 
1.227     brouard  2852:        cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)];
                   2853:       /* cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
1.186     brouard  2854:       for (k=1; k<=cptcovage;k++) /* Should start at cptcovn+1 */
1.227     brouard  2855:        /* cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
                   2856:        cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
                   2857:       /* cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,Tvar[Tage[k]])]*cov[2]; */
1.145     brouard  2858:       for (k=1; k<=cptcovprod;k++) /* Useless because included in cptcovn */
1.227     brouard  2859:        cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)]*nbcode[Tvard[k][2]][codtabm(ij,k)];
                   2860:       /* cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,Tvard[k][1])]*nbcode[Tvard[k][2]][codtabm(ij,Tvard[k][2])]; */
                   2861:       
                   2862:       
1.126     brouard  2863:       /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/
                   2864:       /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/
1.218     brouard  2865:                        /* right multiplication of oldm by the current matrix */
1.126     brouard  2866:       out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, 
                   2867:                   pmij(pmmij,cov,ncovmodel,x,nlstate));
1.217     brouard  2868:       /* if((int)age == 70){ */
                   2869:       /*       printf(" Forward hpxij age=%d agexact=%f d=%d nhstepm=%d hstepm=%d\n", (int) age, agexact, d, nhstepm, hstepm); */
                   2870:       /*       for(i=1; i<=nlstate+ndeath; i++) { */
                   2871:       /*         printf("%d pmmij ",i); */
                   2872:       /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   2873:       /*           printf("%f ",pmmij[i][j]); */
                   2874:       /*         } */
                   2875:       /*         printf(" oldm "); */
                   2876:       /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   2877:       /*           printf("%f ",oldm[i][j]); */
                   2878:       /*         } */
                   2879:       /*         printf("\n"); */
                   2880:       /*       } */
                   2881:       /* } */
1.126     brouard  2882:       savm=oldm;
                   2883:       oldm=newm;
                   2884:     }
                   2885:     for(i=1; i<=nlstate+ndeath; i++)
                   2886:       for(j=1;j<=nlstate+ndeath;j++) {
1.218     brouard  2887:                                po[i][j][h]=newm[i][j];
                   2888:                                /*if(h==nhstepm) printf("po[%d][%d][%d]=%f ",i,j,h,po[i][j][h]);*/
1.126     brouard  2889:       }
1.128     brouard  2890:     /*printf("h=%d ",h);*/
1.126     brouard  2891:   } /* end h */
1.218     brouard  2892:        /*     printf("\n H=%d \n",h); */
1.126     brouard  2893:   return po;
                   2894: }
                   2895: 
1.217     brouard  2896: /************* Higher Back Matrix Product ***************/
1.218     brouard  2897: /* 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  2898: double ***hbxij(double ***po, int nhstepm, double age, int hstepm, double *x, double ***prevacurrent, int nlstate, int stepm, int ij )
1.217     brouard  2899: {
1.218     brouard  2900:   /* Computes the transition matrix starting at age 'age' over
1.217     brouard  2901:      'nhstepm*hstepm*stepm' months (i.e. until
1.218     brouard  2902:      age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying
                   2903:      nhstepm*hstepm matrices.
                   2904:      Output is stored in matrix po[i][j][h] for h every 'hstepm' step
                   2905:      (typically every 2 years instead of every month which is too big
1.217     brouard  2906:      for the memory).
1.218     brouard  2907:      Model is determined by parameters x and covariates have to be
                   2908:      included manually here.
1.217     brouard  2909: 
1.222     brouard  2910:   */
1.217     brouard  2911: 
                   2912:   int i, j, d, h, k;
                   2913:   double **out, cov[NCOVMAX+1];
                   2914:   double **newm;
                   2915:   double agexact;
                   2916:   double agebegin, ageend;
1.222     brouard  2917:   double **oldm, **savm;
1.217     brouard  2918: 
1.222     brouard  2919:   oldm=oldms;savm=savms;
1.217     brouard  2920:   /* Hstepm could be zero and should return the unit matrix */
                   2921:   for (i=1;i<=nlstate+ndeath;i++)
                   2922:     for (j=1;j<=nlstate+ndeath;j++){
                   2923:       oldm[i][j]=(i==j ? 1.0 : 0.0);
                   2924:       po[i][j][0]=(i==j ? 1.0 : 0.0);
                   2925:     }
                   2926:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
                   2927:   for(h=1; h <=nhstepm; h++){
                   2928:     for(d=1; d <=hstepm; d++){
                   2929:       newm=savm;
                   2930:       /* Covariates have to be included here again */
                   2931:       cov[1]=1.;
                   2932:       agexact=age-((h-1)*hstepm + (d-1))*stepm/YEARM; /* age just before transition */
                   2933:       /* agexact=age+((h-1)*hstepm + (d-1))*stepm/YEARM; /\* age just before transition *\/ */
                   2934:       cov[2]=agexact;
                   2935:       if(nagesqr==1)
1.222     brouard  2936:        cov[3]= agexact*agexact;
1.218     brouard  2937:       for (k=1; k<=cptcovn;k++)
1.222     brouard  2938:        cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)];
                   2939:       /* cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
1.217     brouard  2940:       for (k=1; k<=cptcovage;k++) /* Should start at cptcovn+1 */
1.222     brouard  2941:        /* cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
                   2942:        cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
                   2943:       /* cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,Tvar[Tage[k]])]*cov[2]; */
1.217     brouard  2944:       for (k=1; k<=cptcovprod;k++) /* Useless because included in cptcovn */
1.222     brouard  2945:        cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)]*nbcode[Tvard[k][2]][codtabm(ij,k)];
                   2946:       /* 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  2947:                        
                   2948:                        
1.217     brouard  2949:       /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/
                   2950:       /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/
1.218     brouard  2951:       /* Careful transposed matrix */
1.222     brouard  2952:       /* age is in cov[2] */
1.218     brouard  2953:       /* out=matprod2(newm, bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent, dnewm, doldm, dsavm,ij),\ */
1.222     brouard  2954:       /*                                                1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); */
1.218     brouard  2955:       out=matprod2(newm, bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent,ij),\
1.222     brouard  2956:                   1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm);
1.217     brouard  2957:       /* if((int)age == 70){ */
                   2958:       /*       printf(" Backward hbxij age=%d agexact=%f d=%d nhstepm=%d hstepm=%d\n", (int) age, agexact, d, nhstepm, hstepm); */
                   2959:       /*       for(i=1; i<=nlstate+ndeath; i++) { */
                   2960:       /*         printf("%d pmmij ",i); */
                   2961:       /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   2962:       /*           printf("%f ",pmmij[i][j]); */
                   2963:       /*         } */
                   2964:       /*         printf(" oldm "); */
                   2965:       /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   2966:       /*           printf("%f ",oldm[i][j]); */
                   2967:       /*         } */
                   2968:       /*         printf("\n"); */
                   2969:       /*       } */
                   2970:       /* } */
                   2971:       savm=oldm;
                   2972:       oldm=newm;
                   2973:     }
                   2974:     for(i=1; i<=nlstate+ndeath; i++)
                   2975:       for(j=1;j<=nlstate+ndeath;j++) {
1.222     brouard  2976:        po[i][j][h]=newm[i][j];
                   2977:        /*if(h==nhstepm) printf("po[%d][%d][%d]=%f ",i,j,h,po[i][j][h]);*/
1.217     brouard  2978:       }
                   2979:     /*printf("h=%d ",h);*/
                   2980:   } /* end h */
1.222     brouard  2981:   /*     printf("\n H=%d \n",h); */
1.217     brouard  2982:   return po;
                   2983: }
                   2984: 
                   2985: 
1.162     brouard  2986: #ifdef NLOPT
                   2987:   double  myfunc(unsigned n, const double *p1, double *grad, void *pd){
                   2988:   double fret;
                   2989:   double *xt;
                   2990:   int j;
                   2991:   myfunc_data *d2 = (myfunc_data *) pd;
                   2992: /* xt = (p1-1); */
                   2993:   xt=vector(1,n); 
                   2994:   for (j=1;j<=n;j++)   xt[j]=p1[j-1]; /* xt[1]=p1[0] */
                   2995: 
                   2996:   fret=(d2->function)(xt); /*  p xt[1]@8 is fine */
                   2997:   /* fret=(*func)(xt); /\*  p xt[1]@8 is fine *\/ */
                   2998:   printf("Function = %.12lf ",fret);
                   2999:   for (j=1;j<=n;j++) printf(" %d %.8lf", j, xt[j]); 
                   3000:   printf("\n");
                   3001:  free_vector(xt,1,n);
                   3002:   return fret;
                   3003: }
                   3004: #endif
1.126     brouard  3005: 
                   3006: /*************** log-likelihood *************/
                   3007: double func( double *x)
                   3008: {
1.226     brouard  3009:   int i, ii, j, k, mi, d, kk;
                   3010:   int ioffset=0;
                   3011:   double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1];
                   3012:   double **out;
                   3013:   double lli; /* Individual log likelihood */
                   3014:   int s1, s2;
1.228     brouard  3015:   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  3016:   double bbh, survp;
                   3017:   long ipmx;
                   3018:   double agexact;
                   3019:   /*extern weight */
                   3020:   /* We are differentiating ll according to initial status */
                   3021:   /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
                   3022:   /*for(i=1;i<imx;i++) 
                   3023:     printf(" %d\n",s[4][i]);
                   3024:   */
1.162     brouard  3025: 
1.226     brouard  3026:   ++countcallfunc;
1.162     brouard  3027: 
1.226     brouard  3028:   cov[1]=1.;
1.126     brouard  3029: 
1.226     brouard  3030:   for(k=1; k<=nlstate; k++) ll[k]=0.;
1.224     brouard  3031:   ioffset=0;
1.226     brouard  3032:   if(mle==1){
                   3033:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
                   3034:       /* Computes the values of the ncovmodel covariates of the model
                   3035:         depending if the covariates are fixed or varying (age dependent) and stores them in cov[]
                   3036:         Then computes with function pmij which return a matrix p[i][j] giving the elementary probability
                   3037:         to be observed in j being in i according to the model.
                   3038:       */
                   3039:       ioffset=2+nagesqr+cptcovage;
1.233   ! brouard  3040:    /* Fixed */
        !          3041:                        for (k=1; k<=ncovf;k++){ /* Simple and product fixed covariates without age* products */
        !          3042:                                cov[ioffset+TvarFind[k]]=covar[Tvar[TvarFind[k]]][i];/* V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1, only V1 is fixed (k=6)*/
        !          3043:                        }
1.226     brouard  3044:       /* In model V2+V1*V4+age*V3+V3*V2 Tvar[1] is V2, Tvar[2=V1*V4] 
                   3045:         is 6, Tvar[3=age*V3] should not be computed because of age Tvar[4=V3*V2] 
                   3046:         has been calculated etc */
                   3047:       /* For an individual i, wav[i] gives the number of effective waves */
                   3048:       /* We compute the contribution to Likelihood of each effective transition
                   3049:         mw[mi][i] is real wave of the mi th effectve wave */
                   3050:       /* Then statuses are computed at each begin and end of an effective wave s1=s[ mw[mi][i] ][i];
                   3051:         s2=s[mw[mi+1][i]][i];
                   3052:         And the iv th varying covariate is the cotvar[mw[mi+1][i]][iv][i]
                   3053:         But if the variable is not in the model TTvar[iv] is the real variable effective in the model:
                   3054:         meaning that decodemodel should be used cotvar[mw[mi+1][i]][TTvar[iv]][i]
                   3055:       */
                   3056:       for(mi=1; mi<= wav[i]-1; mi++){
1.233   ! brouard  3057:                                for(k=1; k <= ncovv ; k++){ /* Varying  covariates (single and product but no age )*/
        !          3058:                                        cov[ioffset+TvarVind[k]]=cotvar[mw[mi][i]][Tvar[TvarVind[k]]][i];
1.231     brouard  3059:                                }
                   3060:                                for (ii=1;ii<=nlstate+ndeath;ii++)
                   3061:                                        for (j=1;j<=nlstate+ndeath;j++){
                   3062:                                                oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3063:                                                savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3064:                                        }
                   3065:                                for(d=0; d<dh[mi][i]; d++){
                   3066:                                        newm=savm;
                   3067:                                        agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   3068:                                        cov[2]=agexact;
                   3069:                                        if(nagesqr==1)
                   3070:                                                cov[3]= agexact*agexact;  /* Should be changed here */
                   3071:                                        for (kk=1; kk<=cptcovage;kk++) {
                   3072:                                                cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact; /* Tage[kk] gives the data-covariate associated with age */
                   3073:                                        }
                   3074:                                        out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3075:                                                                                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3076:                                        savm=oldm;
                   3077:                                        oldm=newm;
                   3078:                                } /* end mult */
1.224     brouard  3079:                                
1.231     brouard  3080:                                /*lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);*/ /* Original formula */
                   3081:                                /* But now since version 0.9 we anticipate for bias at large stepm.
                   3082:                                 * If stepm is larger than one month (smallest stepm) and if the exact delay 
                   3083:                                 * (in months) between two waves is not a multiple of stepm, we rounded to 
                   3084:                                 * the nearest (and in case of equal distance, to the lowest) interval but now
                   3085:                                 * we keep into memory the bias bh[mi][i] and also the previous matrix product
                   3086:                                 * (i.e to dh[mi][i]-1) saved in 'savm'. Then we inter(extra)polate the
                   3087:                                 * probability in order to take into account the bias as a fraction of the way
                   3088:                                 * from savm to out if bh is negative or even beyond if bh is positive. bh varies
                   3089:                                 * -stepm/2 to stepm/2 .
                   3090:                                 * For stepm=1 the results are the same as for previous versions of Imach.
                   3091:                                 * For stepm > 1 the results are less biased than in previous versions. 
                   3092:                                 */
                   3093:                                s1=s[mw[mi][i]][i];
                   3094:                                s2=s[mw[mi+1][i]][i];
                   3095:                                bbh=(double)bh[mi][i]/(double)stepm; 
                   3096:                                /* bias bh is positive if real duration
                   3097:                                 * is higher than the multiple of stepm and negative otherwise.
                   3098:                                 */
                   3099:                                /* lli= (savm[s1][s2]>1.e-8 ?(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]):log((1.+bbh)*out[s1][s2]));*/
                   3100:                                if( s2 > nlstate){ 
                   3101:                                        /* i.e. if s2 is a death state and if the date of death is known 
                   3102:                                                 then the contribution to the likelihood is the probability to 
                   3103:                                                 die between last step unit time and current  step unit time, 
                   3104:                                                 which is also equal to probability to die before dh 
                   3105:                                                 minus probability to die before dh-stepm . 
                   3106:                                                 In version up to 0.92 likelihood was computed
                   3107:                                                 as if date of death was unknown. Death was treated as any other
                   3108:                                                 health state: the date of the interview describes the actual state
                   3109:                                                 and not the date of a change in health state. The former idea was
                   3110:                                                 to consider that at each interview the state was recorded
                   3111:                                                 (healthy, disable or death) and IMaCh was corrected; but when we
                   3112:                                                 introduced the exact date of death then we should have modified
                   3113:                                                 the contribution of an exact death to the likelihood. This new
                   3114:                                                 contribution is smaller and very dependent of the step unit
                   3115:                                                 stepm. It is no more the probability to die between last interview
                   3116:                                                 and month of death but the probability to survive from last
                   3117:                                                 interview up to one month before death multiplied by the
                   3118:                                                 probability to die within a month. Thanks to Chris
                   3119:                                                 Jackson for correcting this bug.  Former versions increased
                   3120:                                                 mortality artificially. The bad side is that we add another loop
                   3121:                                                 which slows down the processing. The difference can be up to 10%
                   3122:                                                 lower mortality.
                   3123:                                        */
                   3124:                                        /* If, at the beginning of the maximization mostly, the
                   3125:                                                 cumulative probability or probability to be dead is
                   3126:                                                 constant (ie = 1) over time d, the difference is equal to
                   3127:                                                 0.  out[s1][3] = savm[s1][3]: probability, being at state
                   3128:                                                 s1 at precedent wave, to be dead a month before current
                   3129:                                                 wave is equal to probability, being at state s1 at
                   3130:                                                 precedent wave, to be dead at mont of the current
                   3131:                                                 wave. Then the observed probability (that this person died)
                   3132:                                                 is null according to current estimated parameter. In fact,
                   3133:                                                 it should be very low but not zero otherwise the log go to
                   3134:                                                 infinity.
                   3135:                                        */
1.183     brouard  3136: /* #ifdef INFINITYORIGINAL */
                   3137: /*         lli=log(out[s1][s2] - savm[s1][s2]); */
                   3138: /* #else */
                   3139: /*       if ((out[s1][s2] - savm[s1][s2]) < mytinydouble)  */
                   3140: /*         lli=log(mytinydouble); */
                   3141: /*       else */
                   3142: /*         lli=log(out[s1][s2] - savm[s1][s2]); */
                   3143: /* #endif */
1.226     brouard  3144:          lli=log(out[s1][s2] - savm[s1][s2]);
1.216     brouard  3145:          
1.226     brouard  3146:        } else if  ( s2==-1 ) { /* alive */
                   3147:          for (j=1,survp=0. ; j<=nlstate; j++) 
                   3148:            survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   3149:          /*survp += out[s1][j]; */
                   3150:          lli= log(survp);
                   3151:        }
                   3152:        else if  (s2==-4) { 
                   3153:          for (j=3,survp=0. ; j<=nlstate; j++)  
                   3154:            survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   3155:          lli= log(survp); 
                   3156:        } 
                   3157:        else if  (s2==-5) { 
                   3158:          for (j=1,survp=0. ; j<=2; j++)  
                   3159:            survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   3160:          lli= log(survp); 
                   3161:        } 
                   3162:        else{
                   3163:          lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
                   3164:          /*  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 */
                   3165:        } 
                   3166:        /*lli=(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]);*/
                   3167:        /*if(lli ==000.0)*/
                   3168:        /*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); */
                   3169:        ipmx +=1;
                   3170:        sw += weight[i];
                   3171:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   3172:        /* if (lli < log(mytinydouble)){ */
                   3173:        /*   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); */
                   3174:        /*   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]); */
                   3175:        /* } */
                   3176:       } /* end of wave */
                   3177:     } /* end of individual */
                   3178:   }  else if(mle==2){
                   3179:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
                   3180:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
                   3181:       for(mi=1; mi<= wav[i]-1; mi++){
                   3182:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   3183:          for (j=1;j<=nlstate+ndeath;j++){
                   3184:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3185:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3186:          }
                   3187:        for(d=0; d<=dh[mi][i]; d++){
                   3188:          newm=savm;
                   3189:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   3190:          cov[2]=agexact;
                   3191:          if(nagesqr==1)
                   3192:            cov[3]= agexact*agexact;
                   3193:          for (kk=1; kk<=cptcovage;kk++) {
                   3194:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
                   3195:          }
                   3196:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3197:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3198:          savm=oldm;
                   3199:          oldm=newm;
                   3200:        } /* end mult */
                   3201:       
                   3202:        s1=s[mw[mi][i]][i];
                   3203:        s2=s[mw[mi+1][i]][i];
                   3204:        bbh=(double)bh[mi][i]/(double)stepm; 
                   3205:        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 */
                   3206:        ipmx +=1;
                   3207:        sw += weight[i];
                   3208:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   3209:       } /* end of wave */
                   3210:     } /* end of individual */
                   3211:   }  else if(mle==3){  /* exponential inter-extrapolation */
                   3212:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
                   3213:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
                   3214:       for(mi=1; mi<= wav[i]-1; mi++){
                   3215:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   3216:          for (j=1;j<=nlstate+ndeath;j++){
                   3217:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3218:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3219:          }
                   3220:        for(d=0; d<dh[mi][i]; d++){
                   3221:          newm=savm;
                   3222:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   3223:          cov[2]=agexact;
                   3224:          if(nagesqr==1)
                   3225:            cov[3]= agexact*agexact;
                   3226:          for (kk=1; kk<=cptcovage;kk++) {
                   3227:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
                   3228:          }
                   3229:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3230:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3231:          savm=oldm;
                   3232:          oldm=newm;
                   3233:        } /* end mult */
                   3234:       
                   3235:        s1=s[mw[mi][i]][i];
                   3236:        s2=s[mw[mi+1][i]][i];
                   3237:        bbh=(double)bh[mi][i]/(double)stepm; 
                   3238:        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 */
                   3239:        ipmx +=1;
                   3240:        sw += weight[i];
                   3241:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   3242:       } /* end of wave */
                   3243:     } /* end of individual */
                   3244:   }else if (mle==4){  /* ml=4 no inter-extrapolation */
                   3245:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
                   3246:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
                   3247:       for(mi=1; mi<= wav[i]-1; mi++){
                   3248:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   3249:          for (j=1;j<=nlstate+ndeath;j++){
                   3250:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3251:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3252:          }
                   3253:        for(d=0; d<dh[mi][i]; d++){
                   3254:          newm=savm;
                   3255:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   3256:          cov[2]=agexact;
                   3257:          if(nagesqr==1)
                   3258:            cov[3]= agexact*agexact;
                   3259:          for (kk=1; kk<=cptcovage;kk++) {
                   3260:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
                   3261:          }
1.126     brouard  3262:        
1.226     brouard  3263:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3264:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3265:          savm=oldm;
                   3266:          oldm=newm;
                   3267:        } /* end mult */
                   3268:       
                   3269:        s1=s[mw[mi][i]][i];
                   3270:        s2=s[mw[mi+1][i]][i];
                   3271:        if( s2 > nlstate){ 
                   3272:          lli=log(out[s1][s2] - savm[s1][s2]);
                   3273:        } else if  ( s2==-1 ) { /* alive */
                   3274:          for (j=1,survp=0. ; j<=nlstate; j++) 
                   3275:            survp += out[s1][j];
                   3276:          lli= log(survp);
                   3277:        }else{
                   3278:          lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
                   3279:        }
                   3280:        ipmx +=1;
                   3281:        sw += weight[i];
                   3282:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
1.126     brouard  3283: /*     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  3284:       } /* end of wave */
                   3285:     } /* end of individual */
                   3286:   }else{  /* ml=5 no inter-extrapolation no jackson =0.8a */
                   3287:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
                   3288:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
                   3289:       for(mi=1; mi<= wav[i]-1; mi++){
                   3290:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   3291:          for (j=1;j<=nlstate+ndeath;j++){
                   3292:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3293:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3294:          }
                   3295:        for(d=0; d<dh[mi][i]; d++){
                   3296:          newm=savm;
                   3297:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   3298:          cov[2]=agexact;
                   3299:          if(nagesqr==1)
                   3300:            cov[3]= agexact*agexact;
                   3301:          for (kk=1; kk<=cptcovage;kk++) {
                   3302:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
                   3303:          }
1.126     brouard  3304:        
1.226     brouard  3305:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3306:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3307:          savm=oldm;
                   3308:          oldm=newm;
                   3309:        } /* end mult */
                   3310:       
                   3311:        s1=s[mw[mi][i]][i];
                   3312:        s2=s[mw[mi+1][i]][i];
                   3313:        lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
                   3314:        ipmx +=1;
                   3315:        sw += weight[i];
                   3316:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   3317:        /*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]);*/
                   3318:       } /* end of wave */
                   3319:     } /* end of individual */
                   3320:   } /* End of if */
                   3321:   for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
                   3322:   /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
                   3323:   l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
                   3324:   return -l;
1.126     brouard  3325: }
                   3326: 
                   3327: /*************** log-likelihood *************/
                   3328: double funcone( double *x)
                   3329: {
1.228     brouard  3330:   /* Same as func but slower because of a lot of printf and if */
1.126     brouard  3331:   int i, ii, j, k, mi, d, kk;
1.228     brouard  3332:   int ioffset=0;
1.131     brouard  3333:   double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1];
1.126     brouard  3334:   double **out;
                   3335:   double lli; /* Individual log likelihood */
                   3336:   double llt;
                   3337:   int s1, s2;
1.228     brouard  3338:   int iv=0, iqv=0, itv=0, iqtv=0 ; /* Index of varying covariate, fixed quantitative cov, time varying covariate, quantitative time varying covariate */
                   3339: 
1.126     brouard  3340:   double bbh, survp;
1.187     brouard  3341:   double agexact;
1.214     brouard  3342:   double agebegin, ageend;
1.126     brouard  3343:   /*extern weight */
                   3344:   /* We are differentiating ll according to initial status */
                   3345:   /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
                   3346:   /*for(i=1;i<imx;i++) 
                   3347:     printf(" %d\n",s[4][i]);
                   3348:   */
                   3349:   cov[1]=1.;
                   3350: 
                   3351:   for(k=1; k<=nlstate; k++) ll[k]=0.;
1.224     brouard  3352:   ioffset=0;
                   3353:   for (i=1,ipmx=0, sw=0.; i<=imx; i++){
1.225     brouard  3354:     ioffset=2+nagesqr+cptcovage;
1.232     brouard  3355:     /* Fixed */
1.224     brouard  3356:     /* for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i]; */
1.232     brouard  3357:     /* for (k=1; k<=ncoveff;k++){ /\* Simple and product fixed Dummy covariates without age* products *\/ */
                   3358:     for (k=1; k<=ncovf;k++){ /* Simple and product fixed covariates without age* products */
                   3359:       cov[ioffset+TvarFind[k]]=covar[Tvar[TvarFind[k]]][i];/* V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1, only V1 is fixed (k=6)*/
                   3360: /*    cov[ioffset+TvarFind[1]]=covar[Tvar[TvarFind[1]]][i];  */
                   3361: /*    cov[2+6]=covar[Tvar[6]][i];  */
                   3362: /*    cov[2+6]=covar[2][i]; V2  */
                   3363: /*    cov[TvarFind[2]]=covar[Tvar[TvarFind[2]]][i];  */
                   3364: /*    cov[2+7]=covar[Tvar[7]][i];  */
                   3365: /*    cov[2+7]=covar[7][i]; V7=V1*V2  */
                   3366: /*    cov[TvarFind[3]]=covar[Tvar[TvarFind[3]]][i];  */
                   3367: /*    cov[2+9]=covar[Tvar[9]][i];  */
                   3368: /*    cov[2+9]=covar[1][i]; V1  */
1.225     brouard  3369:     }
1.232     brouard  3370:     /* for (k=1; k<=nqfveff;k++){ /\* Simple and product fixed Quantitative covariates without age* products *\/ */
                   3371:     /*   cov[++ioffset]=coqvar[TvarFQ[k]][i];/\* V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1, only V2 and V1*V2 is fixed (k=6 and 7?)*\/ */
                   3372:     /* } */
1.231     brouard  3373:     /* for(iqv=1; iqv <= nqfveff; iqv++){ /\* Quantitative fixed covariates *\/ */
                   3374:     /*   cov[++ioffset]=coqvar[Tvar[iqv]][i]; /\* Only V2 k=6 and V1*V2 7 *\/ */
                   3375:     /* } */
1.225     brouard  3376:     
1.233   ! brouard  3377: 
        !          3378:     for(mi=1; mi<= wav[i]-1; mi++){  /* Varying with waves */
1.232     brouard  3379:     /* Wave varying (but not age varying) */
                   3380:       for(k=1; k <= ncovv ; k++){ /* Varying  covariates (single and product but no age )*/
1.233   ! brouard  3381:                                cov[ioffset+TvarVind[k]]=cotvar[mw[mi][i]][Tvar[TvarVind[k]]][i];
1.232     brouard  3382:                        }
                   3383:       /* for(itv=1; itv <= ntveff; itv++){ /\* Varying dummy covariates (single??)*\/ */
1.231     brouard  3384:                                /* iv= Tvar[Tmodelind[ioffset-2-nagesqr-cptcovage+itv]]-ncovcol-nqv; /\* Counting the # varying covariate from 1 to ntveff *\/ */
                   3385:                                /* cov[ioffset+iv]=cotvar[mw[mi][i]][iv][i]; */
1.232     brouard  3386:                                /* k=ioffset-2-nagesqr-cptcovage+itv; /\* position in simple model *\/ */
                   3387:                                /* cov[ioffset+itv]=cotvar[mw[mi][i]][TmodelInvind[itv]][i]; */
1.231     brouard  3388:                                /* 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]); */
1.232     brouard  3389:       /* for(iqtv=1; iqtv <= nqtveff; iqtv++){ /\* Varying quantitatives covariates *\/ */
                   3390:                        /*      iv=TmodelInvQind[iqtv]; /\* Counting the # varying covariate from 1 to ntveff *\/ */
                   3391:                        /*      /\* 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]); *\/ */
                   3392:                        /*      cov[ioffset+ntveff+iqtv]=cotqvar[mw[mi][i]][TmodelInvQind[iqtv]][i]; */
                   3393:       /* } */
1.126     brouard  3394:       for (ii=1;ii<=nlstate+ndeath;ii++)
1.231     brouard  3395:                                for (j=1;j<=nlstate+ndeath;j++){
                   3396:                                        oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3397:                                        savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3398:                                }
1.214     brouard  3399:       
                   3400:       agebegin=agev[mw[mi][i]][i]; /* Age at beginning of effective wave */
                   3401:       ageend=agev[mw[mi][i]][i] + (dh[mi][i])*stepm/YEARM; /* Age at end of effective wave and at the end of transition */
                   3402:       for(d=0; d<dh[mi][i]; d++){  /* Delay between two effective waves */
1.231     brouard  3403:                                /*dh[m][i] or dh[mw[mi][i]][i] is the delay between two effective waves m=mw[mi][i]
                   3404:                                        and mw[mi+1][i]. dh depends on stepm.*/
                   3405:                                newm=savm;
                   3406:                                agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   3407:                                cov[2]=agexact;
                   3408:                                if(nagesqr==1)
                   3409:                                        cov[3]= agexact*agexact;
                   3410:                                for (kk=1; kk<=cptcovage;kk++) {
                   3411:                                        cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
                   3412:                                }
                   3413:                                /* printf("i=%d,mi=%d,d=%d,mw[mi][i]=%d\n",i, mi,d,mw[mi][i]); */
                   3414:                                /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
                   3415:                                out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3416:                                                                                 1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3417:                                /* out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath, */
                   3418:                                /*           1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate)); */
                   3419:                                savm=oldm;
                   3420:                                oldm=newm;
1.126     brouard  3421:       } /* end mult */
                   3422:       
                   3423:       s1=s[mw[mi][i]][i];
                   3424:       s2=s[mw[mi+1][i]][i];
1.217     brouard  3425:       /* if(s2==-1){ */
                   3426:       /*       printf(" s1=%d, s2=%d i=%d \n", s1, s2, i); */
                   3427:       /*       /\* exit(1); *\/ */
                   3428:       /* } */
1.126     brouard  3429:       bbh=(double)bh[mi][i]/(double)stepm; 
                   3430:       /* bias is positive if real duration
                   3431:        * is higher than the multiple of stepm and negative otherwise.
                   3432:        */
                   3433:       if( s2 > nlstate && (mle <5) ){  /* Jackson */
1.232     brouard  3434:                                lli=log(out[s1][s2] - savm[s1][s2]);
1.216     brouard  3435:       } else if  ( s2==-1 ) { /* alive */
1.232     brouard  3436:                                for (j=1,survp=0. ; j<=nlstate; j++) 
                   3437:                                        survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   3438:                                lli= log(survp);
1.126     brouard  3439:       }else if (mle==1){
1.232     brouard  3440:                                lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
1.126     brouard  3441:       } else if(mle==2){
1.232     brouard  3442:                                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  3443:       } else if(mle==3){  /* exponential inter-extrapolation */
1.232     brouard  3444:                                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  3445:       } else if (mle==4){  /* mle=4 no inter-extrapolation */
1.232     brouard  3446:                                lli=log(out[s1][s2]); /* Original formula */
1.136     brouard  3447:       } else{  /* mle=0 back to 1 */
1.232     brouard  3448:                                lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
                   3449:                                /*lli=log(out[s1][s2]); */ /* Original formula */
1.126     brouard  3450:       } /* End of if */
                   3451:       ipmx +=1;
                   3452:       sw += weight[i];
                   3453:       ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
1.132     brouard  3454:       /*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  3455:       if(globpr){
1.232     brouard  3456:                                fprintf(ficresilk,"%9ld %6.1f %6.1f %6d %2d %2d %2d %2d %3d %15.6f %8.4f %8.3f\
1.126     brouard  3457:  %11.6f %11.6f %11.6f ", \
1.232     brouard  3458:                                                                num[i], agebegin, ageend, i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],weight[i]*gipmx/gsw,
                   3459:                                                                2*weight[i]*lli,out[s1][s2],savm[s1][s2]);
                   3460:                                for(k=1,llt=0.,l=0.; k<=nlstate; k++){
                   3461:                                        llt +=ll[k]*gipmx/gsw;
                   3462:                                        fprintf(ficresilk," %10.6f",-ll[k]*gipmx/gsw);
                   3463:                                }
                   3464:                                fprintf(ficresilk," %10.6f\n", -llt);
1.126     brouard  3465:       }
1.232     brouard  3466:        } /* end of wave */
                   3467: } /* end of individual */
                   3468: for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
                   3469: /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
                   3470: l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
                   3471: if(globpr==0){ /* First time we count the contributions and weights */
                   3472:        gipmx=ipmx;
                   3473:        gsw=sw;
                   3474: }
                   3475: return -l;
1.126     brouard  3476: }
                   3477: 
                   3478: 
                   3479: /*************** function likelione ***********/
                   3480: void likelione(FILE *ficres,double p[], int npar, int nlstate, int *globpri, long *ipmx, double *sw, double *fretone, double (*funcone)(double []))
                   3481: {
                   3482:   /* This routine should help understanding what is done with 
                   3483:      the selection of individuals/waves and
                   3484:      to check the exact contribution to the likelihood.
                   3485:      Plotting could be done.
                   3486:    */
                   3487:   int k;
                   3488: 
                   3489:   if(*globpri !=0){ /* Just counts and sums, no printings */
1.201     brouard  3490:     strcpy(fileresilk,"ILK_"); 
1.202     brouard  3491:     strcat(fileresilk,fileresu);
1.126     brouard  3492:     if((ficresilk=fopen(fileresilk,"w"))==NULL) {
                   3493:       printf("Problem with resultfile: %s\n", fileresilk);
                   3494:       fprintf(ficlog,"Problem with resultfile: %s\n", fileresilk);
                   3495:     }
1.214     brouard  3496:     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");
                   3497:     fprintf(ficresilk, "#num_i ageb agend i s1 s2 mi mw dh likeli weight %%weight 2wlli out sav ");
1.126     brouard  3498:     /*         i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],2*weight[i]*lli,out[s1][s2],savm[s1][s2]); */
                   3499:     for(k=1; k<=nlstate; k++) 
                   3500:       fprintf(ficresilk," -2*gipw/gsw*weight*ll[%d]++",k);
                   3501:     fprintf(ficresilk," -2*gipw/gsw*weight*ll(total)\n");
                   3502:   }
                   3503: 
                   3504:   *fretone=(*funcone)(p);
                   3505:   if(*globpri !=0){
                   3506:     fclose(ficresilk);
1.205     brouard  3507:     if (mle ==0)
                   3508:       fprintf(fichtm,"\n<br>File of contributions to the likelihood computed with initial parameters and mle = %d.",mle);
                   3509:     else if(mle >=1)
                   3510:       fprintf(fichtm,"\n<br>File of contributions to the likelihood computed with optimized parameters mle = %d.",mle);
                   3511:     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  3512:     
1.208     brouard  3513:       
                   3514:     for (k=1; k<= nlstate ; k++) {
1.211     brouard  3515:       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  3516: <img src=\"%s-p%dj.png\">",k,k,subdirf2(optionfilefiname,"ILK_"),k,subdirf2(optionfilefiname,"ILK_"),k,subdirf2(optionfilefiname,"ILK_"),k);
                   3517:     }
1.207     brouard  3518:     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  3519: <img src=\"%s-ori.png\">",subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"));
1.207     brouard  3520:     fprintf(fichtm,"<br>- and by state of destination <a href=\"%s-dest.png\">%s-dest.png</a><br> \
1.204     brouard  3521: <img src=\"%s-dest.png\">",subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"));
1.207     brouard  3522:     fflush(fichtm);
1.205     brouard  3523:   }
1.126     brouard  3524:   return;
                   3525: }
                   3526: 
                   3527: 
                   3528: /*********** Maximum Likelihood Estimation ***************/
                   3529: 
                   3530: void mlikeli(FILE *ficres,double p[], int npar, int ncovmodel, int nlstate, double ftol, double (*func)(double []))
                   3531: {
1.165     brouard  3532:   int i,j, iter=0;
1.126     brouard  3533:   double **xi;
                   3534:   double fret;
                   3535:   double fretone; /* Only one call to likelihood */
                   3536:   /*  char filerespow[FILENAMELENGTH];*/
1.162     brouard  3537: 
                   3538: #ifdef NLOPT
                   3539:   int creturn;
                   3540:   nlopt_opt opt;
                   3541:   /* double lb[9] = { -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL }; /\* lower bounds *\/ */
                   3542:   double *lb;
                   3543:   double minf; /* the minimum objective value, upon return */
                   3544:   double * p1; /* Shifted parameters from 0 instead of 1 */
                   3545:   myfunc_data dinst, *d = &dinst;
                   3546: #endif
                   3547: 
                   3548: 
1.126     brouard  3549:   xi=matrix(1,npar,1,npar);
                   3550:   for (i=1;i<=npar;i++)
                   3551:     for (j=1;j<=npar;j++)
                   3552:       xi[i][j]=(i==j ? 1.0 : 0.0);
                   3553:   printf("Powell\n");  fprintf(ficlog,"Powell\n");
1.201     brouard  3554:   strcpy(filerespow,"POW_"); 
1.126     brouard  3555:   strcat(filerespow,fileres);
                   3556:   if((ficrespow=fopen(filerespow,"w"))==NULL) {
                   3557:     printf("Problem with resultfile: %s\n", filerespow);
                   3558:     fprintf(ficlog,"Problem with resultfile: %s\n", filerespow);
                   3559:   }
                   3560:   fprintf(ficrespow,"# Powell\n# iter -2*LL");
                   3561:   for (i=1;i<=nlstate;i++)
                   3562:     for(j=1;j<=nlstate+ndeath;j++)
                   3563:       if(j!=i)fprintf(ficrespow," p%1d%1d",i,j);
                   3564:   fprintf(ficrespow,"\n");
1.162     brouard  3565: #ifdef POWELL
1.126     brouard  3566:   powell(p,xi,npar,ftol,&iter,&fret,func);
1.162     brouard  3567: #endif
1.126     brouard  3568: 
1.162     brouard  3569: #ifdef NLOPT
                   3570: #ifdef NEWUOA
                   3571:   opt = nlopt_create(NLOPT_LN_NEWUOA,npar);
                   3572: #else
                   3573:   opt = nlopt_create(NLOPT_LN_BOBYQA,npar);
                   3574: #endif
                   3575:   lb=vector(0,npar-1);
                   3576:   for (i=0;i<npar;i++) lb[i]= -HUGE_VAL;
                   3577:   nlopt_set_lower_bounds(opt, lb);
                   3578:   nlopt_set_initial_step1(opt, 0.1);
                   3579:   
                   3580:   p1= (p+1); /*  p *(p+1)@8 and p *(p1)@8 are equal p1[0]=p[1] */
                   3581:   d->function = func;
                   3582:   printf(" Func %.12lf \n",myfunc(npar,p1,NULL,d));
                   3583:   nlopt_set_min_objective(opt, myfunc, d);
                   3584:   nlopt_set_xtol_rel(opt, ftol);
                   3585:   if ((creturn=nlopt_optimize(opt, p1, &minf)) < 0) {
                   3586:     printf("nlopt failed! %d\n",creturn); 
                   3587:   }
                   3588:   else {
                   3589:     printf("found minimum after %d evaluations (NLOPT=%d)\n", countcallfunc ,NLOPT);
                   3590:     printf("found minimum at f(%g,%g) = %0.10g\n", p[0], p[1], minf);
                   3591:     iter=1; /* not equal */
                   3592:   }
                   3593:   nlopt_destroy(opt);
                   3594: #endif
1.126     brouard  3595:   free_matrix(xi,1,npar,1,npar);
                   3596:   fclose(ficrespow);
1.203     brouard  3597:   printf("\n#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
                   3598:   fprintf(ficlog,"\n#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
1.180     brouard  3599:   fprintf(ficres,"#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
1.126     brouard  3600: 
                   3601: }
                   3602: 
                   3603: /**** Computes Hessian and covariance matrix ***/
1.203     brouard  3604: void hesscov(double **matcov, double **hess, double p[], int npar, double delti[], double ftolhess, double (*func)(double []))
1.126     brouard  3605: {
                   3606:   double  **a,**y,*x,pd;
1.203     brouard  3607:   /* double **hess; */
1.164     brouard  3608:   int i, j;
1.126     brouard  3609:   int *indx;
                   3610: 
                   3611:   double hessii(double p[], double delta, int theta, double delti[],double (*func)(double []),int npar);
1.203     brouard  3612:   double hessij(double p[], double **hess, double delti[], int i, int j,double (*func)(double []),int npar);
1.126     brouard  3613:   void lubksb(double **a, int npar, int *indx, double b[]) ;
                   3614:   void ludcmp(double **a, int npar, int *indx, double *d) ;
                   3615:   double gompertz(double p[]);
1.203     brouard  3616:   /* hess=matrix(1,npar,1,npar); */
1.126     brouard  3617: 
                   3618:   printf("\nCalculation of the hessian matrix. Wait...\n");
                   3619:   fprintf(ficlog,"\nCalculation of the hessian matrix. Wait...\n");
                   3620:   for (i=1;i<=npar;i++){
1.203     brouard  3621:     printf("%d-",i);fflush(stdout);
                   3622:     fprintf(ficlog,"%d-",i);fflush(ficlog);
1.126     brouard  3623:    
                   3624:      hess[i][i]=hessii(p,ftolhess,i,delti,func,npar);
                   3625:     
                   3626:     /*  printf(" %f ",p[i]);
                   3627:        printf(" %lf %lf %lf",hess[i][i],ftolhess,delti[i]);*/
                   3628:   }
                   3629:   
                   3630:   for (i=1;i<=npar;i++) {
                   3631:     for (j=1;j<=npar;j++)  {
                   3632:       if (j>i) { 
1.203     brouard  3633:        printf(".%d-%d",i,j);fflush(stdout);
                   3634:        fprintf(ficlog,".%d-%d",i,j);fflush(ficlog);
                   3635:        hess[i][j]=hessij(p,hess, delti,i,j,func,npar);
1.126     brouard  3636:        
                   3637:        hess[j][i]=hess[i][j];    
                   3638:        /*printf(" %lf ",hess[i][j]);*/
                   3639:       }
                   3640:     }
                   3641:   }
                   3642:   printf("\n");
                   3643:   fprintf(ficlog,"\n");
                   3644: 
                   3645:   printf("\nInverting the hessian to get the covariance matrix. Wait...\n");
                   3646:   fprintf(ficlog,"\nInverting the hessian to get the covariance matrix. Wait...\n");
                   3647:   
                   3648:   a=matrix(1,npar,1,npar);
                   3649:   y=matrix(1,npar,1,npar);
                   3650:   x=vector(1,npar);
                   3651:   indx=ivector(1,npar);
                   3652:   for (i=1;i<=npar;i++)
                   3653:     for (j=1;j<=npar;j++) a[i][j]=hess[i][j];
                   3654:   ludcmp(a,npar,indx,&pd);
                   3655: 
                   3656:   for (j=1;j<=npar;j++) {
                   3657:     for (i=1;i<=npar;i++) x[i]=0;
                   3658:     x[j]=1;
                   3659:     lubksb(a,npar,indx,x);
                   3660:     for (i=1;i<=npar;i++){ 
                   3661:       matcov[i][j]=x[i];
                   3662:     }
                   3663:   }
                   3664: 
                   3665:   printf("\n#Hessian matrix#\n");
                   3666:   fprintf(ficlog,"\n#Hessian matrix#\n");
                   3667:   for (i=1;i<=npar;i++) { 
                   3668:     for (j=1;j<=npar;j++) { 
1.203     brouard  3669:       printf("%.6e ",hess[i][j]);
                   3670:       fprintf(ficlog,"%.6e ",hess[i][j]);
1.126     brouard  3671:     }
                   3672:     printf("\n");
                   3673:     fprintf(ficlog,"\n");
                   3674:   }
                   3675: 
1.203     brouard  3676:   /* printf("\n#Covariance matrix#\n"); */
                   3677:   /* fprintf(ficlog,"\n#Covariance matrix#\n"); */
                   3678:   /* for (i=1;i<=npar;i++) {  */
                   3679:   /*   for (j=1;j<=npar;j++) {  */
                   3680:   /*     printf("%.6e ",matcov[i][j]); */
                   3681:   /*     fprintf(ficlog,"%.6e ",matcov[i][j]); */
                   3682:   /*   } */
                   3683:   /*   printf("\n"); */
                   3684:   /*   fprintf(ficlog,"\n"); */
                   3685:   /* } */
                   3686: 
1.126     brouard  3687:   /* Recompute Inverse */
1.203     brouard  3688:   /* for (i=1;i<=npar;i++) */
                   3689:   /*   for (j=1;j<=npar;j++) a[i][j]=matcov[i][j]; */
                   3690:   /* ludcmp(a,npar,indx,&pd); */
                   3691: 
                   3692:   /*  printf("\n#Hessian matrix recomputed#\n"); */
                   3693: 
                   3694:   /* for (j=1;j<=npar;j++) { */
                   3695:   /*   for (i=1;i<=npar;i++) x[i]=0; */
                   3696:   /*   x[j]=1; */
                   3697:   /*   lubksb(a,npar,indx,x); */
                   3698:   /*   for (i=1;i<=npar;i++){  */
                   3699:   /*     y[i][j]=x[i]; */
                   3700:   /*     printf("%.3e ",y[i][j]); */
                   3701:   /*     fprintf(ficlog,"%.3e ",y[i][j]); */
                   3702:   /*   } */
                   3703:   /*   printf("\n"); */
                   3704:   /*   fprintf(ficlog,"\n"); */
                   3705:   /* } */
                   3706: 
                   3707:   /* Verifying the inverse matrix */
                   3708: #ifdef DEBUGHESS
                   3709:   y=matprod2(y,hess,1,npar,1,npar,1,npar,matcov);
1.126     brouard  3710: 
1.203     brouard  3711:    printf("\n#Verification: multiplying the matrix of covariance by the Hessian matrix, should be unity:#\n");
                   3712:    fprintf(ficlog,"\n#Verification: multiplying the matrix of covariance by the Hessian matrix. Should be unity:#\n");
1.126     brouard  3713: 
                   3714:   for (j=1;j<=npar;j++) {
                   3715:     for (i=1;i<=npar;i++){ 
1.203     brouard  3716:       printf("%.2f ",y[i][j]);
                   3717:       fprintf(ficlog,"%.2f ",y[i][j]);
1.126     brouard  3718:     }
                   3719:     printf("\n");
                   3720:     fprintf(ficlog,"\n");
                   3721:   }
1.203     brouard  3722: #endif
1.126     brouard  3723: 
                   3724:   free_matrix(a,1,npar,1,npar);
                   3725:   free_matrix(y,1,npar,1,npar);
                   3726:   free_vector(x,1,npar);
                   3727:   free_ivector(indx,1,npar);
1.203     brouard  3728:   /* free_matrix(hess,1,npar,1,npar); */
1.126     brouard  3729: 
                   3730: 
                   3731: }
                   3732: 
                   3733: /*************** hessian matrix ****************/
                   3734: double hessii(double x[], double delta, int theta, double delti[], double (*func)(double []), int npar)
1.203     brouard  3735: { /* Around values of x, computes the function func and returns the scales delti and hessian */
1.126     brouard  3736:   int i;
                   3737:   int l=1, lmax=20;
1.203     brouard  3738:   double k1,k2, res, fx;
1.132     brouard  3739:   double p2[MAXPARM+1]; /* identical to x */
1.126     brouard  3740:   double delt=0.0001, delts, nkhi=10.,nkhif=1., khi=1.e-4;
                   3741:   int k=0,kmax=10;
                   3742:   double l1;
                   3743: 
                   3744:   fx=func(x);
                   3745:   for (i=1;i<=npar;i++) p2[i]=x[i];
1.145     brouard  3746:   for(l=0 ; l <=lmax; l++){  /* Enlarging the zone around the Maximum */
1.126     brouard  3747:     l1=pow(10,l);
                   3748:     delts=delt;
                   3749:     for(k=1 ; k <kmax; k=k+1){
                   3750:       delt = delta*(l1*k);
                   3751:       p2[theta]=x[theta] +delt;
1.145     brouard  3752:       k1=func(p2)-fx;   /* Might be negative if too close to the theoretical maximum */
1.126     brouard  3753:       p2[theta]=x[theta]-delt;
                   3754:       k2=func(p2)-fx;
                   3755:       /*res= (k1-2.0*fx+k2)/delt/delt; */
1.203     brouard  3756:       res= (k1+k2)/delt/delt/2.; /* Divided by 2 because L and not 2*L */
1.126     brouard  3757:       
1.203     brouard  3758: #ifdef DEBUGHESSII
1.126     brouard  3759:       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);
                   3760:       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);
                   3761: #endif
                   3762:       /*if(fabs(k1-2.0*fx+k2) <1.e-13){ */
                   3763:       if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)){
                   3764:        k=kmax;
                   3765:       }
                   3766:       else if((k1 >khi/nkhif) || (k2 >khi/nkhif)){ /* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. */
1.164     brouard  3767:        k=kmax; l=lmax*10;
1.126     brouard  3768:       }
                   3769:       else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){ 
                   3770:        delts=delt;
                   3771:       }
1.203     brouard  3772:     } /* End loop k */
1.126     brouard  3773:   }
                   3774:   delti[theta]=delts;
                   3775:   return res; 
                   3776:   
                   3777: }
                   3778: 
1.203     brouard  3779: double hessij( double x[], double **hess, double delti[], int thetai,int thetaj,double (*func)(double []),int npar)
1.126     brouard  3780: {
                   3781:   int i;
1.164     brouard  3782:   int l=1, lmax=20;
1.126     brouard  3783:   double k1,k2,k3,k4,res,fx;
1.132     brouard  3784:   double p2[MAXPARM+1];
1.203     brouard  3785:   int k, kmax=1;
                   3786:   double v1, v2, cv12, lc1, lc2;
1.208     brouard  3787: 
                   3788:   int firstime=0;
1.203     brouard  3789:   
1.126     brouard  3790:   fx=func(x);
1.203     brouard  3791:   for (k=1; k<=kmax; k=k+10) {
1.126     brouard  3792:     for (i=1;i<=npar;i++) p2[i]=x[i];
1.203     brouard  3793:     p2[thetai]=x[thetai]+delti[thetai]*k;
                   3794:     p2[thetaj]=x[thetaj]+delti[thetaj]*k;
1.126     brouard  3795:     k1=func(p2)-fx;
                   3796:   
1.203     brouard  3797:     p2[thetai]=x[thetai]+delti[thetai]*k;
                   3798:     p2[thetaj]=x[thetaj]-delti[thetaj]*k;
1.126     brouard  3799:     k2=func(p2)-fx;
                   3800:   
1.203     brouard  3801:     p2[thetai]=x[thetai]-delti[thetai]*k;
                   3802:     p2[thetaj]=x[thetaj]+delti[thetaj]*k;
1.126     brouard  3803:     k3=func(p2)-fx;
                   3804:   
1.203     brouard  3805:     p2[thetai]=x[thetai]-delti[thetai]*k;
                   3806:     p2[thetaj]=x[thetaj]-delti[thetaj]*k;
1.126     brouard  3807:     k4=func(p2)-fx;
1.203     brouard  3808:     res=(k1-k2-k3+k4)/4.0/delti[thetai]/k/delti[thetaj]/k/2.; /* Because of L not 2*L */
                   3809:     if(k1*k2*k3*k4 <0.){
1.208     brouard  3810:       firstime=1;
1.203     brouard  3811:       kmax=kmax+10;
1.208     brouard  3812:     }
                   3813:     if(kmax >=10 || firstime ==1){
1.218     brouard  3814:       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);
                   3815:       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  3816:       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);
                   3817:       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);
                   3818:     }
                   3819: #ifdef DEBUGHESSIJ
                   3820:     v1=hess[thetai][thetai];
                   3821:     v2=hess[thetaj][thetaj];
                   3822:     cv12=res;
                   3823:     /* Computing eigen value of Hessian matrix */
                   3824:     lc1=((v1+v2)+sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                   3825:     lc2=((v1+v2)-sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                   3826:     if ((lc2 <0) || (lc1 <0) ){
                   3827:       printf("Warning: sub Hessian matrix '%d%d' does not have positive eigen values \n",thetai,thetaj);
                   3828:       fprintf(ficlog, "Warning: sub Hessian matrix '%d%d' does not have positive eigen values \n",thetai,thetaj);
                   3829:       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);
                   3830:       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);
                   3831:     }
1.126     brouard  3832: #endif
                   3833:   }
                   3834:   return res;
                   3835: }
                   3836: 
1.203     brouard  3837:     /* Not done yet: Was supposed to fix if not exactly at the maximum */
                   3838: /* double hessij( double x[], double delti[], int thetai,int thetaj,double (*func)(double []),int npar) */
                   3839: /* { */
                   3840: /*   int i; */
                   3841: /*   int l=1, lmax=20; */
                   3842: /*   double k1,k2,k3,k4,res,fx; */
                   3843: /*   double p2[MAXPARM+1]; */
                   3844: /*   double delt=0.0001, delts, nkhi=10.,nkhif=1., khi=1.e-4; */
                   3845: /*   int k=0,kmax=10; */
                   3846: /*   double l1; */
                   3847:   
                   3848: /*   fx=func(x); */
                   3849: /*   for(l=0 ; l <=lmax; l++){  /\* Enlarging the zone around the Maximum *\/ */
                   3850: /*     l1=pow(10,l); */
                   3851: /*     delts=delt; */
                   3852: /*     for(k=1 ; k <kmax; k=k+1){ */
                   3853: /*       delt = delti*(l1*k); */
                   3854: /*       for (i=1;i<=npar;i++) p2[i]=x[i]; */
                   3855: /*       p2[thetai]=x[thetai]+delti[thetai]/k; */
                   3856: /*       p2[thetaj]=x[thetaj]+delti[thetaj]/k; */
                   3857: /*       k1=func(p2)-fx; */
                   3858:       
                   3859: /*       p2[thetai]=x[thetai]+delti[thetai]/k; */
                   3860: /*       p2[thetaj]=x[thetaj]-delti[thetaj]/k; */
                   3861: /*       k2=func(p2)-fx; */
                   3862:       
                   3863: /*       p2[thetai]=x[thetai]-delti[thetai]/k; */
                   3864: /*       p2[thetaj]=x[thetaj]+delti[thetaj]/k; */
                   3865: /*       k3=func(p2)-fx; */
                   3866:       
                   3867: /*       p2[thetai]=x[thetai]-delti[thetai]/k; */
                   3868: /*       p2[thetaj]=x[thetaj]-delti[thetaj]/k; */
                   3869: /*       k4=func(p2)-fx; */
                   3870: /*       res=(k1-k2-k3+k4)/4.0/delti[thetai]*k/delti[thetaj]*k/2.; /\* Because of L not 2*L *\/ */
                   3871: /* #ifdef DEBUGHESSIJ */
                   3872: /*       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); */
                   3873: /*       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); */
                   3874: /* #endif */
                   3875: /*       if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)|| (k4 <khi/nkhi/2.)|| (k4 <khi/nkhi/2.)){ */
                   3876: /*     k=kmax; */
                   3877: /*       } */
                   3878: /*       else if((k1 >khi/nkhif) || (k2 >khi/nkhif) || (k4 >khi/nkhif) || (k4 >khi/nkhif)){ /\* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. *\/ */
                   3879: /*     k=kmax; l=lmax*10; */
                   3880: /*       } */
                   3881: /*       else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){  */
                   3882: /*     delts=delt; */
                   3883: /*       } */
                   3884: /*     } /\* End loop k *\/ */
                   3885: /*   } */
                   3886: /*   delti[theta]=delts; */
                   3887: /*   return res;  */
                   3888: /* } */
                   3889: 
                   3890: 
1.126     brouard  3891: /************** Inverse of matrix **************/
                   3892: void ludcmp(double **a, int n, int *indx, double *d) 
                   3893: { 
                   3894:   int i,imax,j,k; 
                   3895:   double big,dum,sum,temp; 
                   3896:   double *vv; 
                   3897:  
                   3898:   vv=vector(1,n); 
                   3899:   *d=1.0; 
                   3900:   for (i=1;i<=n;i++) { 
                   3901:     big=0.0; 
                   3902:     for (j=1;j<=n;j++) 
                   3903:       if ((temp=fabs(a[i][j])) > big) big=temp; 
                   3904:     if (big == 0.0) nrerror("Singular matrix in routine ludcmp"); 
                   3905:     vv[i]=1.0/big; 
                   3906:   } 
                   3907:   for (j=1;j<=n;j++) { 
                   3908:     for (i=1;i<j;i++) { 
                   3909:       sum=a[i][j]; 
                   3910:       for (k=1;k<i;k++) sum -= a[i][k]*a[k][j]; 
                   3911:       a[i][j]=sum; 
                   3912:     } 
                   3913:     big=0.0; 
                   3914:     for (i=j;i<=n;i++) { 
                   3915:       sum=a[i][j]; 
                   3916:       for (k=1;k<j;k++) 
                   3917:        sum -= a[i][k]*a[k][j]; 
                   3918:       a[i][j]=sum; 
                   3919:       if ( (dum=vv[i]*fabs(sum)) >= big) { 
                   3920:        big=dum; 
                   3921:        imax=i; 
                   3922:       } 
                   3923:     } 
                   3924:     if (j != imax) { 
                   3925:       for (k=1;k<=n;k++) { 
                   3926:        dum=a[imax][k]; 
                   3927:        a[imax][k]=a[j][k]; 
                   3928:        a[j][k]=dum; 
                   3929:       } 
                   3930:       *d = -(*d); 
                   3931:       vv[imax]=vv[j]; 
                   3932:     } 
                   3933:     indx[j]=imax; 
                   3934:     if (a[j][j] == 0.0) a[j][j]=TINY; 
                   3935:     if (j != n) { 
                   3936:       dum=1.0/(a[j][j]); 
                   3937:       for (i=j+1;i<=n;i++) a[i][j] *= dum; 
                   3938:     } 
                   3939:   } 
                   3940:   free_vector(vv,1,n);  /* Doesn't work */
                   3941: ;
                   3942: } 
                   3943: 
                   3944: void lubksb(double **a, int n, int *indx, double b[]) 
                   3945: { 
                   3946:   int i,ii=0,ip,j; 
                   3947:   double sum; 
                   3948:  
                   3949:   for (i=1;i<=n;i++) { 
                   3950:     ip=indx[i]; 
                   3951:     sum=b[ip]; 
                   3952:     b[ip]=b[i]; 
                   3953:     if (ii) 
                   3954:       for (j=ii;j<=i-1;j++) sum -= a[i][j]*b[j]; 
                   3955:     else if (sum) ii=i; 
                   3956:     b[i]=sum; 
                   3957:   } 
                   3958:   for (i=n;i>=1;i--) { 
                   3959:     sum=b[i]; 
                   3960:     for (j=i+1;j<=n;j++) sum -= a[i][j]*b[j]; 
                   3961:     b[i]=sum/a[i][i]; 
                   3962:   } 
                   3963: } 
                   3964: 
                   3965: void pstamp(FILE *fichier)
                   3966: {
1.196     brouard  3967:   fprintf(fichier,"# %s.%s\n#IMaCh version %s, %s\n#%s\n# %s", optionfilefiname,optionfilext,version,copyright, fullversion, strstart);
1.126     brouard  3968: }
                   3969: 
                   3970: /************ Frequencies ********************/
1.226     brouard  3971: void  freqsummary(char fileres[], int iagemin, int iagemax, int **s, double **agev, int nlstate, int imx, \
                   3972:                  int *Tvaraff, int *invalidvarcomb, int **nbcode, int *ncodemax,double **mint,double **anint, char strstart[], \
                   3973:                  int firstpass,  int lastpass, int stepm, int weightopt, char model[])
                   3974: {  /* Some frequencies */
                   3975:   
1.227     brouard  3976:   int i, m, jk, j1, bool, z1,j, k, iv;
1.226     brouard  3977:   int iind=0, iage=0;
                   3978:   int mi; /* Effective wave */
                   3979:   int first;
                   3980:   double ***freq; /* Frequencies */
                   3981:   double *meanq;
                   3982:   double **meanqt;
                   3983:   double *pp, **prop, *posprop, *pospropt;
                   3984:   double pos=0., posproptt=0., pospropta=0., k2, dateintsum=0,k2cpt=0;
                   3985:   char fileresp[FILENAMELENGTH], fileresphtm[FILENAMELENGTH], fileresphtmfr[FILENAMELENGTH];
                   3986:   double agebegin, ageend;
                   3987:     
                   3988:   pp=vector(1,nlstate);
                   3989:   prop=matrix(1,nlstate,iagemin-AGEMARGE,iagemax+3+AGEMARGE); 
                   3990:   posprop=vector(1,nlstate); /* Counting the number of transition starting from a live state per age */ 
                   3991:   pospropt=vector(1,nlstate); /* Counting the number of transition starting from a live state */ 
                   3992:   /* prop=matrix(1,nlstate,iagemin,iagemax+3); */
                   3993:   meanq=vector(1,nqfveff); /* Number of Quantitative Fixed Variables Effective */
                   3994:   meanqt=matrix(1,lastpass,1,nqtveff);
                   3995:   strcpy(fileresp,"P_");
                   3996:   strcat(fileresp,fileresu);
                   3997:   /*strcat(fileresphtm,fileresu);*/
                   3998:   if((ficresp=fopen(fileresp,"w"))==NULL) {
                   3999:     printf("Problem with prevalence resultfile: %s\n", fileresp);
                   4000:     fprintf(ficlog,"Problem with prevalence resultfile: %s\n", fileresp);
                   4001:     exit(0);
                   4002:   }
1.214     brouard  4003: 
1.226     brouard  4004:   strcpy(fileresphtm,subdirfext(optionfilefiname,"PHTM_",".htm"));
                   4005:   if((ficresphtm=fopen(fileresphtm,"w"))==NULL) {
                   4006:     printf("Problem with prevalence HTM resultfile '%s' with errno='%s'\n",fileresphtm,strerror(errno));
                   4007:     fprintf(ficlog,"Problem with prevalence HTM resultfile '%s' with errno='%s'\n",fileresphtm,strerror(errno));
                   4008:     fflush(ficlog);
                   4009:     exit(70); 
                   4010:   }
                   4011:   else{
                   4012:     fprintf(ficresphtm,"<html><head>\n<title>IMaCh PHTM_ %s</title></head>\n <body><font size=\"2\">%s <br> %s</font> \
1.214     brouard  4013: <hr size=\"2\" color=\"#EC5E5E\"> \n\
                   4014: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s<br>\n",\
1.226     brouard  4015:            fileresphtm,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);
                   4016:   }
                   4017:   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  4018:     
1.226     brouard  4019:   strcpy(fileresphtmfr,subdirfext(optionfilefiname,"PHTMFR_",".htm"));
                   4020:   if((ficresphtmfr=fopen(fileresphtmfr,"w"))==NULL) {
                   4021:     printf("Problem with frequency table HTM resultfile '%s' with errno='%s'\n",fileresphtmfr,strerror(errno));
                   4022:     fprintf(ficlog,"Problem with frequency table HTM resultfile '%s' with errno='%s'\n",fileresphtmfr,strerror(errno));
                   4023:     fflush(ficlog);
                   4024:     exit(70); 
                   4025:   }
                   4026:   else{
                   4027:     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  4028: <hr size=\"2\" color=\"#EC5E5E\"> \n\
                   4029: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s<br>\n",\
1.226     brouard  4030:            fileresphtmfr,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);
                   4031:   }
                   4032:   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  4033: 
1.226     brouard  4034:   freq= ma3x(-5,nlstate+ndeath,-5,nlstate+ndeath,iagemin-AGEMARGE,iagemax+3+AGEMARGE);
                   4035:   j1=0;
1.126     brouard  4036:   
1.227     brouard  4037:   /* j=ncoveff;  /\* Only fixed dummy covariates *\/ */
                   4038:   j=cptcoveff;  /* Only dummy covariates of the model */
1.226     brouard  4039:   if (cptcovn<1) {j=1;ncodemax[1]=1;}
1.220     brouard  4040: 
1.226     brouard  4041:   first=1;
1.220     brouard  4042: 
1.226     brouard  4043:   /* Detects if a combination j1 is empty: for a multinomial variable like 3 education levels:
                   4044:      reference=low_education V1=0,V2=0
                   4045:      med_educ                V1=1 V2=0, 
                   4046:      high_educ               V1=0 V2=1
                   4047:      Then V1=1 and V2=1 is a noisy combination that we want to exclude for the list 2**cptcoveff 
                   4048:   */
1.126     brouard  4049: 
1.227     brouard  4050:   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  4051:     posproptt=0.;
                   4052:     /*printf("cptcoveff=%d Tvaraff=%d", cptcoveff,Tvaraff[1]);
                   4053:       scanf("%d", i);*/
                   4054:     for (i=-5; i<=nlstate+ndeath; i++)  
                   4055:       for (jk=-5; jk<=nlstate+ndeath; jk++)  
1.231     brouard  4056:                                for(m=iagemin; m <= iagemax+3; m++)
                   4057:                                        freq[i][jk][m]=0;
                   4058:                
1.226     brouard  4059:     for (i=1; i<=nlstate; i++)  {
                   4060:       for(m=iagemin; m <= iagemax+3; m++)
1.231     brouard  4061:                                prop[i][m]=0;
1.226     brouard  4062:       posprop[i]=0;
                   4063:       pospropt[i]=0;
                   4064:     }
1.227     brouard  4065:     /* for (z1=1; z1<= nqfveff; z1++) {   */
                   4066:     /*   meanq[z1]+=0.; */
                   4067:     /*   for(m=1;m<=lastpass;m++){ */
                   4068:     /*         meanqt[m][z1]=0.; */
                   4069:     /*   } */
                   4070:     /* } */
1.231     brouard  4071:                
1.226     brouard  4072:     dateintsum=0;
                   4073:     k2cpt=0;
1.227     brouard  4074:     /* For that combination of covariate j1, we count and print the frequencies in one pass */
1.226     brouard  4075:     for (iind=1; iind<=imx; iind++) { /* For each individual iind */
                   4076:       bool=1;
1.227     brouard  4077:       if(anyvaryingduminmodel==0){ /* If All fixed covariates */
1.231     brouard  4078:                                if (cptcoveff >0) { /* Filter is here: Must be looked at for model=V1+V2+V3+V4 */
1.227     brouard  4079:          /* for (z1=1; z1<= nqfveff; z1++) {   */
                   4080:          /*   meanq[z1]+=coqvar[Tvar[z1]][iind];  /\* Computes mean of quantitative with selected filter *\/ */
                   4081:          /* } */
1.231     brouard  4082:                                        for (z1=1; z1<=cptcoveff; z1++) {  
                   4083:                                                /* if(Tvaraff[z1] ==-20){ */
                   4084:                                                /*       /\* sumnew+=cotvar[mw[mi][iind]][z1][iind]; *\/ */
                   4085:                                                /* }else  if(Tvaraff[z1] ==-10){ */
                   4086:                                                /*       /\* sumnew+=coqvar[z1][iind]; *\/ */
                   4087:                                                /* }else  */
                   4088:                                                if (covar[Tvaraff[z1]][iind]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]){
                   4089:                                                        /* Tests if this individual iind responded to j1 (V4=1 V3=0) */
                   4090:                                                        bool=0;
                   4091:                                                        /* 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", 
                   4092:                                                                 bool,i,z1, z1, Tvaraff[z1],i,covar[Tvaraff[z1]][i],j1,z1,codtabm(j1,z1),
                   4093:                                                                 j1,z1,nbcode[Tvaraff[z1]][codtabm(j1,z1)],j1);*/
                   4094:                                                        /* For j1=7 in V1+V2+V3+V4 = 0 1 1 0 and codtabm(7,3)=1 and nbcde[3][?]=1*/
                   4095:                                                } /* Onlyf fixed */
                   4096:                                        } /* end z1 */
                   4097:                                } /* cptcovn > 0 */
1.227     brouard  4098:       } /* end any */
                   4099:       if (bool==1){ /* We selected an individual iind satisfying combination j1 or all fixed */
1.231     brouard  4100:                                /* for(m=firstpass; m<=lastpass; m++){ */
                   4101:                                for(mi=1; mi<wav[iind];mi++){ /* For that wave */
                   4102:                                        m=mw[mi][iind];
                   4103:                                        if(anyvaryingduminmodel==1){ /* Some are varying covariates */
                   4104:                                                for (z1=1; z1<=cptcoveff; z1++) {
                   4105:                                                        if( Fixed[Tmodelind[z1]]==1){
                   4106:                                                                iv= Tvar[Tmodelind[z1]]-ncovcol-nqv;
                   4107:                                                                if (cotvar[m][iv][iind]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]) /* iv=1 to ntv, right modality */
                   4108:                                                                        bool=0;
                   4109:                                                        }else if( Fixed[Tmodelind[z1]]== 0) { /* fixed */
                   4110:                                                                if (covar[Tvaraff[z1]][iind]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]) {
                   4111:                                                                        bool=0;
                   4112:                                                                }
                   4113:                                                        }
                   4114:                                                }
                   4115:                                        }/* Some are varying covariates, we tried to speed up if all fixed covariates in the model, avoiding waves loop  */
                   4116:                                        /* bool =0 we keep that guy which corresponds to the combination of dummy values */
                   4117:                                        if(bool==1){
                   4118:                                                /* dh[m][iind] or dh[mw[mi][iind]][iind] is the delay between two effective (mi) waves m=mw[mi][iind]
                   4119:                                                         and mw[mi+1][iind]. dh depends on stepm. */
                   4120:                                                agebegin=agev[m][iind]; /* Age at beginning of wave before transition*/
                   4121:                                                ageend=agev[m][iind]+(dh[m][iind])*stepm/YEARM; /* Age at end of wave and transition */
                   4122:                                                if(m >=firstpass && m <=lastpass){
                   4123:                                                        k2=anint[m][iind]+(mint[m][iind]/12.);
                   4124:                                                        /*if ((k2>=dateprev1) && (k2<=dateprev2)) {*/
                   4125:                                                        if(agev[m][iind]==0) agev[m][iind]=iagemax+1;  /* All ages equal to 0 are in iagemax+1 */
                   4126:                                                        if(agev[m][iind]==1) agev[m][iind]=iagemax+2;  /* All ages equal to 1 are in iagemax+2 */
                   4127:                                                        if (s[m][iind]>0 && s[m][iind]<=nlstate)  /* If status at wave m is known and a live state */
                   4128:                                                                prop[s[m][iind]][(int)agev[m][iind]] += weight[iind];  /* At age of beginning of transition, where status is known */
                   4129:                                                        if (m<lastpass) {
                   4130:                                                                /* if(s[m][iind]==4 && s[m+1][iind]==4) */
                   4131:                                                                /*   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]); */
                   4132:                                                                if(s[m][iind]==-1)
                   4133:                                                                        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.));
                   4134:                                                                freq[s[m][iind]][s[m+1][iind]][(int)agev[m][iind]] += weight[iind]; /* At age of beginning of transition, where status is known */
                   4135:                                                                /* freq[s[m][iind]][s[m+1][iind]][(int)((agebegin+ageend)/2.)] += weight[iind]; */
                   4136:                                                                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 */
                   4137:                                                        }
                   4138:                                                } /* end if between passes */  
                   4139:                                                if ((agev[m][iind]>1) && (agev[m][iind]< (iagemax+3)) && (anint[m][iind]!=9999) && (mint[m][iind]!=99)) {
                   4140:                                                        dateintsum=dateintsum+k2;
                   4141:                                                        k2cpt++;
                   4142:                                                        /* printf("iind=%ld dateintmean = %lf dateintsum=%lf k2cpt=%lf k2=%lf\n",iind, dateintsum/k2cpt, dateintsum,k2cpt, k2); */
                   4143:                                                }
                   4144:                                        } /* end bool 2 */
                   4145:                                } /* end m */
1.226     brouard  4146:       } /* end bool */
                   4147:     } /* end iind = 1 to imx */
                   4148:     /* prop[s][age] is feeded for any initial and valid live state as well as
                   4149:        freq[s1][s2][age] at single age of beginning the transition, for a combination j1 */
1.231     brouard  4150:                
                   4151:                
1.226     brouard  4152:     /*      fprintf(ficresp, "#Count between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);*/
                   4153:     pstamp(ficresp);
1.227     brouard  4154:     /* if  (ncoveff>0) { */
                   4155:     if  (cptcoveff>0) {
1.226     brouard  4156:       fprintf(ficresp, "\n#********** Variable "); 
                   4157:       fprintf(ficresphtm, "\n<br/><br/><h3>********** Variable "); 
                   4158:       fprintf(ficresphtmfr, "\n<br/><br/><h3>********** Variable "); 
1.227     brouard  4159:       for (z1=1; z1<=cptcoveff; z1++){
1.231     brouard  4160:                                fprintf(ficresp, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4161:                                fprintf(ficresphtm, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4162:                                fprintf(ficresphtmfr, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.226     brouard  4163:       }
                   4164:       fprintf(ficresp, "**********\n#");
                   4165:       fprintf(ficresphtm, "**********</h3>\n");
                   4166:       fprintf(ficresphtmfr, "**********</h3>\n");
                   4167:       fprintf(ficlog, "\n#********** Variable "); 
1.227     brouard  4168:       for (z1=1; z1<=cptcoveff; z1++) fprintf(ficlog, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.226     brouard  4169:       fprintf(ficlog, "**********\n");
                   4170:     }
                   4171:     fprintf(ficresphtm,"<table style=\"text-align:center; border: 1px solid\">");
                   4172:     for(i=1; i<=nlstate;i++) {
                   4173:       fprintf(ficresp, " Age Prev(%d) N(%d) N",i,i);
                   4174:       fprintf(ficresphtm, "<th>Age</th><th>Prev(%d)</th><th>N(%d)</th><th>N</th>",i,i);
                   4175:     }
                   4176:     fprintf(ficresp, "\n");
                   4177:     fprintf(ficresphtm, "\n");
1.231     brouard  4178:                
1.226     brouard  4179:     /* Header of frequency table by age */
                   4180:     fprintf(ficresphtmfr,"<table style=\"text-align:center; border: 1px solid\">");
                   4181:     fprintf(ficresphtmfr,"<th>Age</th> ");
                   4182:     for(jk=-1; jk <=nlstate+ndeath; jk++){
                   4183:       for(m=-1; m <=nlstate+ndeath; m++){
1.231     brouard  4184:                                if(jk!=0 && m!=0)
                   4185:                                        fprintf(ficresphtmfr,"<th>%d%d</th> ",jk,m);
1.226     brouard  4186:       }
                   4187:     }
                   4188:     fprintf(ficresphtmfr, "\n");
1.231     brouard  4189:                
1.226     brouard  4190:     /* For each age */
                   4191:     for(iage=iagemin; iage <= iagemax+3; iage++){
                   4192:       fprintf(ficresphtm,"<tr>");
                   4193:       if(iage==iagemax+1){
1.231     brouard  4194:                                fprintf(ficlog,"1");
                   4195:                                fprintf(ficresphtmfr,"<tr><th>0</th> ");
1.226     brouard  4196:       }else if(iage==iagemax+2){
1.231     brouard  4197:                                fprintf(ficlog,"0");
                   4198:                                fprintf(ficresphtmfr,"<tr><th>Unknown</th> ");
1.226     brouard  4199:       }else if(iage==iagemax+3){
1.231     brouard  4200:                                fprintf(ficlog,"Total");
                   4201:                                fprintf(ficresphtmfr,"<tr><th>Total</th> ");
1.226     brouard  4202:       }else{
1.231     brouard  4203:                                if(first==1){
                   4204:                                        first=0;
                   4205:                                        printf("See log file for details...\n");
                   4206:                                }
                   4207:                                fprintf(ficresphtmfr,"<tr><th>%d</th> ",iage);
                   4208:                                fprintf(ficlog,"Age %d", iage);
1.226     brouard  4209:       }
                   4210:       for(jk=1; jk <=nlstate ; jk++){
1.231     brouard  4211:                                for(m=-1, pp[jk]=0; m <=nlstate+ndeath ; m++)
                   4212:                                        pp[jk] += freq[jk][m][iage]; 
1.226     brouard  4213:       }
                   4214:       for(jk=1; jk <=nlstate ; jk++){
1.231     brouard  4215:                                for(m=-1, pos=0; m <=0 ; m++)
                   4216:                                        pos += freq[jk][m][iage];
                   4217:                                if(pp[jk]>=1.e-10){
                   4218:                                        if(first==1){
                   4219:                                                printf(" %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);
                   4220:                                        }
                   4221:                                        fprintf(ficlog," %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);
                   4222:                                }else{
                   4223:                                        if(first==1)
                   4224:                                                printf(" %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);
                   4225:                                        fprintf(ficlog," %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);
                   4226:                                }
1.226     brouard  4227:       }
1.231     brouard  4228:                        
1.226     brouard  4229:       for(jk=1; jk <=nlstate ; jk++){ 
1.231     brouard  4230:                                /* posprop[jk]=0; */
                   4231:                                for(m=0, pp[jk]=0; m <=nlstate+ndeath; m++)/* Summing on all ages */
                   4232:                                        pp[jk] += freq[jk][m][iage];
1.226     brouard  4233:       }        /* pp[jk] is the total number of transitions starting from state jk and any ending status until this age */
1.231     brouard  4234:                        
1.226     brouard  4235:       for(jk=1,pos=0, pospropta=0.; jk <=nlstate ; jk++){
1.231     brouard  4236:                                pos += pp[jk]; /* pos is the total number of transitions until this age */
                   4237:                                posprop[jk] += prop[jk][iage]; /* prop is the number of transitions from a live state
                   4238:                                                                                                                                                                        from jk at age iage prop[s[m][iind]][(int)agev[m][iind]] += weight[iind] */
                   4239:                                pospropta += prop[jk][iage]; /* prop is the number of transitions from a live state
                   4240:                                                                                                                                                                from jk at age iage prop[s[m][iind]][(int)agev[m][iind]] += weight[iind] */
1.226     brouard  4241:       }
                   4242:       for(jk=1; jk <=nlstate ; jk++){
1.231     brouard  4243:                                if(pos>=1.e-5){
                   4244:                                        if(first==1)
                   4245:                                                printf(" %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);
                   4246:                                        fprintf(ficlog," %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);
                   4247:                                }else{
                   4248:                                        if(first==1)
                   4249:                                                printf(" %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);
                   4250:                                        fprintf(ficlog," %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);
                   4251:                                }
                   4252:                                if( iage <= iagemax){
                   4253:                                        if(pos>=1.e-5){
                   4254:                                                fprintf(ficresp," %d %.5f %.0f %.0f",iage,prop[jk][iage]/pospropta, prop[jk][iage],pospropta);
                   4255:                                                fprintf(ficresphtm,"<th>%d</th><td>%.5f</td><td>%.0f</td><td>%.0f</td>",iage,prop[jk][iage]/pospropta, prop[jk][iage],pospropta);
                   4256:                                                /*probs[iage][jk][j1]= pp[jk]/pos;*/
                   4257:                                                /*printf("\niage=%d jk=%d j1=%d %.5f %.0f %.0f %f",iage,jk,j1,pp[jk]/pos, pp[jk],pos,probs[iage][jk][j1]);*/
                   4258:                                        }
                   4259:                                        else{
                   4260:                                                fprintf(ficresp," %d NaNq %.0f %.0f",iage,prop[jk][iage],pospropta);
                   4261:                                                fprintf(ficresphtm,"<th>%d</th><td>NaNq</td><td>%.0f</td><td>%.0f</td>",iage, prop[jk][iage],pospropta);
                   4262:                                        }
                   4263:                                }
                   4264:                                pospropt[jk] +=posprop[jk];
1.226     brouard  4265:       } /* end loop jk */
                   4266:       /* pospropt=0.; */
                   4267:       for(jk=-1; jk <=nlstate+ndeath; jk++){
1.231     brouard  4268:                                for(m=-1; m <=nlstate+ndeath; m++){
                   4269:                                        if(freq[jk][m][iage] !=0 ) { /* minimizing output */
                   4270:                                                if(first==1){
                   4271:                                                        printf(" %d%d=%.0f",jk,m,freq[jk][m][iage]);
                   4272:                                                }
                   4273:                                                fprintf(ficlog," %d%d=%.0f",jk,m,freq[jk][m][iage]);
                   4274:                                        }
                   4275:                                        if(jk!=0 && m!=0)
                   4276:                                                fprintf(ficresphtmfr,"<td>%.0f</td> ",freq[jk][m][iage]);
                   4277:                                }
1.226     brouard  4278:       } /* end loop jk */
                   4279:       posproptt=0.; 
                   4280:       for(jk=1; jk <=nlstate; jk++){
1.231     brouard  4281:                                posproptt += pospropt[jk];
1.226     brouard  4282:       }
                   4283:       fprintf(ficresphtmfr,"</tr>\n ");
                   4284:       if(iage <= iagemax){
1.231     brouard  4285:                                fprintf(ficresp,"\n");
                   4286:                                fprintf(ficresphtm,"</tr>\n");
1.226     brouard  4287:       }
                   4288:       if(first==1)
1.231     brouard  4289:                                printf("Others in log...\n");
1.226     brouard  4290:       fprintf(ficlog,"\n");
                   4291:     } /* end loop age iage */
                   4292:     fprintf(ficresphtm,"<tr><th>Tot</th>");
                   4293:     for(jk=1; jk <=nlstate ; jk++){
                   4294:       if(posproptt < 1.e-5){
1.231     brouard  4295:                                fprintf(ficresphtm,"<td>Nanq</td><td>%.0f</td><td>%.0f</td>",pospropt[jk],posproptt);   
1.226     brouard  4296:       }else{
1.231     brouard  4297:                                fprintf(ficresphtm,"<td>%.5f</td><td>%.0f</td><td>%.0f</td>",pospropt[jk]/posproptt,pospropt[jk],posproptt);    
1.226     brouard  4298:       }
                   4299:     }
                   4300:     fprintf(ficresphtm,"</tr>\n");
                   4301:     fprintf(ficresphtm,"</table>\n");
                   4302:     fprintf(ficresphtmfr,"</table>\n");
                   4303:     if(posproptt < 1.e-5){
                   4304:       fprintf(ficresphtm,"\n <p><b> This combination (%d) is not valid and no result will be produced</b></p>",j1);
                   4305:       fprintf(ficresphtmfr,"\n <p><b> This combination (%d) is not valid and no result will be produced</b></p>",j1);
                   4306:       fprintf(ficres,"\n  This combination (%d) is not valid and no result will be produced\n\n",j1);
                   4307:       invalidvarcomb[j1]=1;
                   4308:     }else{
                   4309:       fprintf(ficresphtm,"\n <p> This combination (%d) is valid and result will be produced.</p>",j1);
                   4310:       invalidvarcomb[j1]=0;
                   4311:     }
                   4312:     fprintf(ficresphtmfr,"</table>\n");
                   4313:   } /* end selected combination of covariate j1 */
                   4314:   dateintmean=dateintsum/k2cpt; 
1.231     brouard  4315:        
1.226     brouard  4316:   fclose(ficresp);
                   4317:   fclose(ficresphtm);
                   4318:   fclose(ficresphtmfr);
                   4319:   free_vector(meanq,1,nqfveff);
                   4320:   free_matrix(meanqt,1,lastpass,1,nqtveff);
                   4321:   free_ma3x(freq,-5,nlstate+ndeath,-5,nlstate+ndeath, iagemin-AGEMARGE, iagemax+3+AGEMARGE);
                   4322:   free_vector(pospropt,1,nlstate);
                   4323:   free_vector(posprop,1,nlstate);
                   4324:   free_matrix(prop,1,nlstate,iagemin-AGEMARGE, iagemax+3+AGEMARGE);
                   4325:   free_vector(pp,1,nlstate);
                   4326:   /* End of freqsummary */
                   4327: }
1.126     brouard  4328: 
                   4329: /************ Prevalence ********************/
1.227     brouard  4330: 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)
                   4331: {  
                   4332:   /* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people
                   4333:      in each health status at the date of interview (if between dateprev1 and dateprev2).
                   4334:      We still use firstpass and lastpass as another selection.
                   4335:   */
1.126     brouard  4336:  
1.227     brouard  4337:   int i, m, jk, j1, bool, z1,j, iv;
                   4338:   int mi; /* Effective wave */
                   4339:   int iage;
                   4340:   double agebegin, ageend;
                   4341: 
                   4342:   double **prop;
                   4343:   double posprop; 
                   4344:   double  y2; /* in fractional years */
                   4345:   int iagemin, iagemax;
                   4346:   int first; /** to stop verbosity which is redirected to log file */
                   4347: 
                   4348:   iagemin= (int) agemin;
                   4349:   iagemax= (int) agemax;
                   4350:   /*pp=vector(1,nlstate);*/
                   4351:   prop=matrix(1,nlstate,iagemin-AGEMARGE,iagemax+3+AGEMARGE); 
                   4352:   /*  freq=ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,iagemin,iagemax+3);*/
                   4353:   j1=0;
1.222     brouard  4354:   
1.227     brouard  4355:   /*j=cptcoveff;*/
                   4356:   if (cptcovn<1) {j=1;ncodemax[1]=1;}
1.222     brouard  4357:   
1.227     brouard  4358:   first=1;
                   4359:   for(j1=1; j1<= (int) pow(2,cptcoveff);j1++){ /* For each combination of covariate */
                   4360:     for (i=1; i<=nlstate; i++)  
                   4361:       for(iage=iagemin-AGEMARGE; iage <= iagemax+3+AGEMARGE; iage++)
                   4362:        prop[i][iage]=0.0;
                   4363:     printf("Prevalence combination of varying and fixed dummies %d\n",j1);
                   4364:     /* fprintf(ficlog," V%d=%d ",Tvaraff[j1],nbcode[Tvaraff[j1]][codtabm(k,j1)]); */
                   4365:     fprintf(ficlog,"Prevalence combination of varying and fixed dummies %d\n",j1);
                   4366:     
                   4367:     for (i=1; i<=imx; i++) { /* Each individual */
                   4368:       bool=1;
                   4369:       /* for(m=firstpass; m<=lastpass; m++){/\* Other selection (we can limit to certain interviews*\/ */
                   4370:       for(mi=1; mi<wav[i];mi++){ /* For this wave too look where individual can be counted V4=0 V3=0 */
                   4371:        m=mw[mi][i];
                   4372:        /* Tmodelind[z1]=k is the position of the varying covariate in the model, but which # within 1 to ntv? */
                   4373:        /* Tvar[Tmodelind[z1]] is the n of Vn; n-ncovcol-nqv is the first time varying covariate or iv */
                   4374:        for (z1=1; z1<=cptcoveff; z1++){
                   4375:          if( Fixed[Tmodelind[z1]]==1){
                   4376:            iv= Tvar[Tmodelind[z1]]-ncovcol-nqv;
                   4377:            if (cotvar[m][iv][i]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]) /* iv=1 to ntv, right modality */
                   4378:              bool=0;
                   4379:          }else if( Fixed[Tmodelind[z1]]== 0)  /* fixed */
                   4380:            if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]) {
                   4381:              bool=0;
                   4382:            }
                   4383:        }
                   4384:        if(bool==1){ /* Otherwise we skip that wave/person */
                   4385:          agebegin=agev[m][i]; /* Age at beginning of wave before transition*/
                   4386:          /* ageend=agev[m][i]+(dh[m][i])*stepm/YEARM; /\* Age at end of wave and transition *\/ */
                   4387:          if(m >=firstpass && m <=lastpass){
                   4388:            y2=anint[m][i]+(mint[m][i]/12.); /* Fractional date in year */
                   4389:            if ((y2>=dateprev1) && (y2<=dateprev2)) { /* Here is the main selection (fractional years) */
                   4390:              if(agev[m][i]==0) agev[m][i]=iagemax+1;
                   4391:              if(agev[m][i]==1) agev[m][i]=iagemax+2;
                   4392:              if((int)agev[m][i] <iagemin-AGEMARGE || (int)agev[m][i] >iagemax+3+AGEMARGE){
                   4393:                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); 
                   4394:                exit(1);
                   4395:              }
                   4396:              if (s[m][i]>0 && s[m][i]<=nlstate) { 
                   4397:                /*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]]);*/
                   4398:                prop[s[m][i]][(int)agev[m][i]] += weight[i];/* At age of beginning of transition, where status is known */
                   4399:                prop[s[m][i]][iagemax+3] += weight[i]; 
                   4400:              } /* end valid statuses */ 
                   4401:            } /* end selection of dates */
                   4402:          } /* end selection of waves */
                   4403:        } /* end bool */
                   4404:       } /* end wave */
                   4405:     } /* end individual */
                   4406:     for(i=iagemin; i <= iagemax+3; i++){  
                   4407:       for(jk=1,posprop=0; jk <=nlstate ; jk++) { 
                   4408:        posprop += prop[jk][i]; 
                   4409:       } 
                   4410:       
                   4411:       for(jk=1; jk <=nlstate ; jk++){      
                   4412:        if( i <=  iagemax){ 
                   4413:          if(posprop>=1.e-5){ 
                   4414:            probs[i][jk][j1]= prop[jk][i]/posprop;
                   4415:          } else{
                   4416:            if(first==1){
                   4417:              first=0;
                   4418:              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]);
                   4419:            }
                   4420:          }
                   4421:        } 
                   4422:       }/* end jk */ 
                   4423:     }/* end i */ 
1.222     brouard  4424:      /*} *//* end i1 */
1.227     brouard  4425:   } /* end j1 */
1.222     brouard  4426:   
1.227     brouard  4427:   /*  free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath, iagemin, iagemax+3);*/
                   4428:   /*free_vector(pp,1,nlstate);*/
                   4429:   free_matrix(prop,1,nlstate, iagemin-AGEMARGE,iagemax+3+AGEMARGE);
                   4430: }  /* End of prevalence */
1.126     brouard  4431: 
                   4432: /************* Waves Concatenation ***************/
                   4433: 
                   4434: 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)
                   4435: {
                   4436:   /* Concatenates waves: wav[i] is the number of effective (useful waves) of individual i.
                   4437:      Death is a valid wave (if date is known).
                   4438:      mw[mi][i] is the mi (mi=1 to wav[i])  effective wave of individual i
                   4439:      dh[m][i] or dh[mw[mi][i]][i] is the delay between two effective waves m=mw[mi][i]
                   4440:      and mw[mi+1][i]. dh depends on stepm.
1.227     brouard  4441:   */
1.126     brouard  4442: 
1.224     brouard  4443:   int i=0, mi=0, m=0, mli=0;
1.126     brouard  4444:   /* int j, k=0,jk, ju, jl,jmin=1e+5, jmax=-1;
                   4445:      double sum=0., jmean=0.;*/
1.224     brouard  4446:   int first=0, firstwo=0, firsthree=0, firstfour=0, firstfiv=0;
1.126     brouard  4447:   int j, k=0,jk, ju, jl;
                   4448:   double sum=0.;
                   4449:   first=0;
1.214     brouard  4450:   firstwo=0;
1.217     brouard  4451:   firsthree=0;
1.218     brouard  4452:   firstfour=0;
1.164     brouard  4453:   jmin=100000;
1.126     brouard  4454:   jmax=-1;
                   4455:   jmean=0.;
1.224     brouard  4456: 
                   4457: /* Treating live states */
1.214     brouard  4458:   for(i=1; i<=imx; i++){  /* For simple cases and if state is death */
1.224     brouard  4459:     mi=0;  /* First valid wave */
1.227     brouard  4460:     mli=0; /* Last valid wave */
1.126     brouard  4461:     m=firstpass;
1.214     brouard  4462:     while(s[m][i] <= nlstate){  /* a live state */
1.227     brouard  4463:       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 */
                   4464:        mli=m-1;/* mw[++mi][i]=m-1; */
                   4465:       }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 */
                   4466:        mw[++mi][i]=m;
                   4467:        mli=m;
1.224     brouard  4468:       } /* else might be a useless wave  -1 and mi is not incremented and mw[mi] not updated */
                   4469:       if(m < lastpass){ /* m < lastpass, standard case */
1.227     brouard  4470:        m++; /* mi gives the "effective" current wave, m the current wave, go to next wave by incrementing m */
1.216     brouard  4471:       }
1.227     brouard  4472:       else{ /* m >= lastpass, eventual special issue with warning */
1.224     brouard  4473: #ifdef UNKNOWNSTATUSNOTCONTRIBUTING
1.227     brouard  4474:        break;
1.224     brouard  4475: #else
1.227     brouard  4476:        if(s[m][i]==-1 && (int) andc[i] == 9999 && (int)anint[m][i] != 9999){
                   4477:          if(firsthree == 0){
                   4478:            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);
                   4479:            firsthree=1;
                   4480:          }
                   4481:          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);
                   4482:          mw[++mi][i]=m;
                   4483:          mli=m;
                   4484:        }
                   4485:        if(s[m][i]==-2){ /* Vital status is really unknown */
                   4486:          nbwarn++;
                   4487:          if((int)anint[m][i] == 9999){  /*  Has the vital status really been verified? */
                   4488:            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);
                   4489:            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);
                   4490:          }
                   4491:          break;
                   4492:        }
                   4493:        break;
1.224     brouard  4494: #endif
1.227     brouard  4495:       }/* End m >= lastpass */
1.126     brouard  4496:     }/* end while */
1.224     brouard  4497: 
1.227     brouard  4498:     /* 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  4499:     /* After last pass */
1.224     brouard  4500: /* Treating death states */
1.214     brouard  4501:     if (s[m][i] > nlstate){  /* In a death state */
1.227     brouard  4502:       /* if( mint[m][i]==mdc[m][i] && anint[m][i]==andc[m][i]){ /\* same date of death and date of interview *\/ */
                   4503:       /* } */
1.126     brouard  4504:       mi++;    /* Death is another wave */
                   4505:       /* if(mi==0)  never been interviewed correctly before death */
1.227     brouard  4506:       /* Only death is a correct wave */
1.126     brouard  4507:       mw[mi][i]=m;
1.224     brouard  4508:     }
                   4509: #ifndef DISPATCHINGKNOWNDEATHAFTERLASTWAVE
1.227     brouard  4510:     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  4511:       /* m++; */
                   4512:       /* mi++; */
                   4513:       /* s[m][i]=nlstate+1;  /\* We are setting the status to the last of non live state *\/ */
                   4514:       /* mw[mi][i]=m; */
1.218     brouard  4515:       if ((int)anint[m][i]!= 9999) { /* date of last interview is known */
1.227     brouard  4516:        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 */
                   4517:          nbwarn++;
                   4518:          if(firstfiv==0){
                   4519:            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 );
                   4520:            firstfiv=1;
                   4521:          }else{
                   4522:            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 );
                   4523:          }
                   4524:        }else{ /* Death occured afer last wave potential bias */
                   4525:          nberr++;
                   4526:          if(firstwo==0){
                   4527:            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 );
                   4528:            firstwo=1;
                   4529:          }
                   4530:          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 );
                   4531:        }
1.218     brouard  4532:       }else{ /* end date of interview is known */
1.227     brouard  4533:        /* death is known but not confirmed by death status at any wave */
                   4534:        if(firstfour==0){
                   4535:          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 );
                   4536:          firstfour=1;
                   4537:        }
                   4538:        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  4539:       }
1.224     brouard  4540:     } /* end if date of death is known */
                   4541: #endif
                   4542:     wav[i]=mi; /* mi should be the last effective wave (or mli) */
                   4543:     /* wav[i]=mw[mi][i]; */
1.126     brouard  4544:     if(mi==0){
                   4545:       nbwarn++;
                   4546:       if(first==0){
1.227     brouard  4547:        printf("Warning! No valid information for individual %ld line=%d (skipped) and may be others, see log file\n",num[i],i);
                   4548:        first=1;
1.126     brouard  4549:       }
                   4550:       if(first==1){
1.227     brouard  4551:        fprintf(ficlog,"Warning! No valid information for individual %ld line=%d (skipped)\n",num[i],i);
1.126     brouard  4552:       }
                   4553:     } /* end mi==0 */
                   4554:   } /* End individuals */
1.214     brouard  4555:   /* wav and mw are no more changed */
1.223     brouard  4556:        
1.214     brouard  4557:   
1.126     brouard  4558:   for(i=1; i<=imx; i++){
                   4559:     for(mi=1; mi<wav[i];mi++){
                   4560:       if (stepm <=0)
1.227     brouard  4561:        dh[mi][i]=1;
1.126     brouard  4562:       else{
1.227     brouard  4563:        if (s[mw[mi+1][i]][i] > nlstate) { /* A death */
                   4564:          if (agedc[i] < 2*AGESUP) {
                   4565:            j= rint(agedc[i]*12-agev[mw[mi][i]][i]*12); 
                   4566:            if(j==0) j=1;  /* Survives at least one month after exam */
                   4567:            else if(j<0){
                   4568:              nberr++;
                   4569:              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]);
                   4570:              j=1; /* Temporary Dangerous patch */
                   4571:              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);
                   4572:              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]);
                   4573:              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);
                   4574:            }
                   4575:            k=k+1;
                   4576:            if (j >= jmax){
                   4577:              jmax=j;
                   4578:              ijmax=i;
                   4579:            }
                   4580:            if (j <= jmin){
                   4581:              jmin=j;
                   4582:              ijmin=i;
                   4583:            }
                   4584:            sum=sum+j;
                   4585:            /*if (j<0) printf("j=%d num=%d \n",j,i);*/
                   4586:            /*    printf("%d %d %d %d\n", s[mw[mi][i]][i] ,s[mw[mi+1][i]][i],j,i);*/
                   4587:          }
                   4588:        }
                   4589:        else{
                   4590:          j= rint( (agev[mw[mi+1][i]][i]*12 - agev[mw[mi][i]][i]*12));
1.126     brouard  4591: /*       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  4592:                                        
1.227     brouard  4593:          k=k+1;
                   4594:          if (j >= jmax) {
                   4595:            jmax=j;
                   4596:            ijmax=i;
                   4597:          }
                   4598:          else if (j <= jmin){
                   4599:            jmin=j;
                   4600:            ijmin=i;
                   4601:          }
                   4602:          /*        if (j<10) printf("j=%d jmin=%d num=%d ",j,jmin,i); */
                   4603:          /*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]);*/
                   4604:          if(j<0){
                   4605:            nberr++;
                   4606:            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]);
                   4607:            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]);
                   4608:          }
                   4609:          sum=sum+j;
                   4610:        }
                   4611:        jk= j/stepm;
                   4612:        jl= j -jk*stepm;
                   4613:        ju= j -(jk+1)*stepm;
                   4614:        if(mle <=1){ /* only if we use a the linear-interpoloation pseudo-likelihood */
                   4615:          if(jl==0){
                   4616:            dh[mi][i]=jk;
                   4617:            bh[mi][i]=0;
                   4618:          }else{ /* We want a negative bias in order to only have interpolation ie
                   4619:                  * to avoid the price of an extra matrix product in likelihood */
                   4620:            dh[mi][i]=jk+1;
                   4621:            bh[mi][i]=ju;
                   4622:          }
                   4623:        }else{
                   4624:          if(jl <= -ju){
                   4625:            dh[mi][i]=jk;
                   4626:            bh[mi][i]=jl;       /* bias is positive if real duration
                   4627:                                 * is higher than the multiple of stepm and negative otherwise.
                   4628:                                 */
                   4629:          }
                   4630:          else{
                   4631:            dh[mi][i]=jk+1;
                   4632:            bh[mi][i]=ju;
                   4633:          }
                   4634:          if(dh[mi][i]==0){
                   4635:            dh[mi][i]=1; /* At least one step */
                   4636:            bh[mi][i]=ju; /* At least one step */
                   4637:            /*  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);*/
                   4638:          }
                   4639:        } /* end if mle */
1.126     brouard  4640:       }
                   4641:     } /* end wave */
                   4642:   }
                   4643:   jmean=sum/k;
                   4644:   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  4645:   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  4646: }
1.126     brouard  4647: 
                   4648: /*********** Tricode ****************************/
1.220     brouard  4649:  void tricode(int *cptcov, int *Tvar, int **nbcode, int imx, int *Ndum)
1.126     brouard  4650: {
1.144     brouard  4651:   /**< Uses cptcovn+2*cptcovprod as the number of covariates */
                   4652:   /*     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  4653:    * Boring subroutine which should only output nbcode[Tvar[j]][k]
1.224     brouard  4654:    * Tvar[5] in V2+V1+V3*age+V2*V4 is 4 (V4) even it is a time varying or quantitative variable
                   4655:    * nbcode[Tvar[5]][1]= nbcode[4][1]=0, nbcode[4][2]=1 (usually);
1.144     brouard  4656:   */
1.130     brouard  4657: 
1.145     brouard  4658:   int ij=1, k=0, j=0, i=0, maxncov=NCOVMAX;
1.136     brouard  4659:   int modmaxcovj=0; /* Modality max of covariates j */
1.145     brouard  4660:   int cptcode=0; /* Modality max of covariates j */
                   4661:   int modmincovj=0; /* Modality min of covariates j */
                   4662: 
                   4663: 
1.220     brouard  4664:   /* cptcoveff=0;  */
1.224     brouard  4665:        /* *cptcov=0; */
1.126     brouard  4666:  
1.144     brouard  4667:   for (k=1; k <= maxncov; k++) ncodemax[k]=0; /* Horrible constant again replaced by NCOVMAX */
1.126     brouard  4668: 
1.224     brouard  4669:   /* Loop on covariates without age and products and no quantitative variable */
                   4670:   /* for (j=1; j<=(cptcovs); j++) { /\* From model V1 + V2*age+ V3 + V3*V4 keeps V1 + V3 = 2 only *\/ */
1.227     brouard  4671:   for (k=1; k<=cptcovt; k++) { /* From model V1 + V2*age + V3 + V3*V4 keeps V1 + V3 = 2 only */
                   4672:     for (j=-1; (j < maxncov); j++) Ndum[j]=0;
                   4673:     if(Dummy[k]==0 && Typevar[k] !=1){ /* Dummy covariate and not age product */ 
                   4674:       switch(Fixed[k]) {
                   4675:       case 0: /* Testing on fixed dummy covariate, simple or product of fixed */
1.231     brouard  4676:                                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*/
                   4677:                                        ij=(int)(covar[Tvar[k]][i]);
                   4678:                                        /* ij=0 or 1 or -1. Value of the covariate Tvar[j] for individual i
                   4679:                                         * If product of Vn*Vm, still boolean *:
                   4680:                                         * If it was coded 1, 2, 3, 4 should be splitted into 3 boolean variables
                   4681:                                         * 1 => 0 0 0, 2 => 0 0 1, 3 => 0 1 1, 4=1 0 0   */
                   4682:                                        /* Finds for covariate j, n=Tvar[j] of Vn . ij is the
                   4683:                                                 modality of the nth covariate of individual i. */
                   4684:                                        if (ij > modmaxcovj)
                   4685:                                                modmaxcovj=ij; 
                   4686:                                        else if (ij < modmincovj) 
                   4687:                                                modmincovj=ij; 
                   4688:                                        if ((ij < -1) && (ij > NCOVMAX)){
                   4689:                                                printf( "Error: minimal is less than -1 or maximal is bigger than %d. Exiting. \n", NCOVMAX );
                   4690:                                                exit(1);
                   4691:                                        }else
                   4692:                                                Ndum[ij]++; /*counts and stores the occurence of this modality 0, 1, -1*/
                   4693:                                        /*  If coded 1, 2, 3 , counts the number of 1 Ndum[1], number of 2, Ndum[2], etc */
                   4694:                                        /*printf("i=%d ij=%d Ndum[ij]=%d imx=%d",i,ij,Ndum[ij],imx);*/
                   4695:                                        /* getting the maximum value of the modality of the covariate
                   4696:                                                 (should be 0 or 1 now) Tvar[j]. If V=sex and male is coded 0 and
                   4697:                                                 female ies 1, then modmaxcovj=1.
                   4698:                                        */
                   4699:                                } /* end for loop on individuals i */
                   4700:                                printf(" Minimal and maximal values of %d th covariate V%d: min=%d max=%d \n", k, Tvar[k], modmincovj, modmaxcovj);
                   4701:                                fprintf(ficlog," Minimal and maximal values of %d th covariate V%d: min=%d max=%d \n", k, Tvar[k], modmincovj, modmaxcovj);
                   4702:                                cptcode=modmaxcovj;
                   4703:                                /* Ndum[0] = frequency of 0 for model-covariate j, Ndum[1] frequency of 1 etc. */
                   4704:                                /*for (i=0; i<=cptcode; i++) {*/
                   4705:                                for (j=modmincovj;  j<=modmaxcovj; j++) { /* j=-1 ? 0 and 1*//* For each value j of the modality of model-cov k */
                   4706:                                        printf("Frequencies of covariates %d ie V%d with value %d: %d\n", k, Tvar[k], j, Ndum[j]);
                   4707:                                        fprintf(ficlog, "Frequencies of covariates %d ie V%d with value %d: %d\n", k, Tvar[k], j, Ndum[j]);
                   4708:                                        if( Ndum[j] != 0 ){ /* Counts if nobody answered modality j ie empty modality, we skip it and reorder */
                   4709:                                                if( j != -1){
                   4710:                                                        ncodemax[k]++;  /* ncodemax[k]= Number of modalities of the k th
                   4711:                                                                                                                                 covariate for which somebody answered excluding 
                   4712:                                                                                                                                 undefined. Usually 2: 0 and 1. */
                   4713:                                                }
                   4714:                                                ncodemaxwundef[k]++; /* ncodemax[j]= Number of modalities of the k th
                   4715:                                                                                                                                                covariate for which somebody answered including 
                   4716:                                                                                                                                                undefined. Usually 3: -1, 0 and 1. */
                   4717:                                        }       /* In fact  ncodemax[k]=2 (dichotom. variables only) but it could be more for
                   4718:                                                 * historical reasons: 3 if coded 1, 2, 3 and 4 and Ndum[2]=0 */
                   4719:                                } /* Ndum[-1] number of undefined modalities */
                   4720:                        
                   4721:                                /* j is a covariate, n=Tvar[j] of Vn; Fills nbcode */
                   4722:                                /* For covariate j, modalities could be 1, 2, 3, 4, 5, 6, 7. */
                   4723:                                /* If Ndum[1]=0, Ndum[2]=0, Ndum[3]= 635, Ndum[4]=0, Ndum[5]=0, Ndum[6]=27, Ndum[7]=125; */
                   4724:                                /* modmincovj=3; modmaxcovj = 7; */
                   4725:                                /* There are only 3 modalities non empty 3, 6, 7 (or 2 if 27 is too few) : ncodemax[j]=3; */
                   4726:                                /* which will be coded 0, 1, 2 which in binary on 2=3-1 digits are 0=00 1=01, 2=10; */
                   4727:                          /*             defining two dummy variables: variables V1_1 and V1_2.*/
                   4728:              /* nbcode[Tvar[j]][ij]=k; */
                   4729:              /* nbcode[Tvar[j]][1]=0; */
                   4730:              /* nbcode[Tvar[j]][2]=1; */
                   4731:              /* nbcode[Tvar[j]][3]=2; */
                   4732:              /* To be continued (not working yet). */
                   4733:              ij=0; /* ij is similar to i but can jump over null modalities */
                   4734:                                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*/
                   4735:          if (Ndum[i] == 0) { /* If nobody responded to this modality k */
                   4736:                  break;
                   4737:                }
                   4738:                                        ij++;
                   4739:                                        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*/
                   4740:                                        cptcode = ij; /* New max modality for covar j */
                   4741:                                } /* end of loop on modality i=-1 to 1 or more */
                   4742:                                break;
1.227     brouard  4743:       case 1: /* Testing on varying covariate, could be simple and
                   4744:               * should look at waves or product of fixed *
                   4745:               * varying. No time to test -1, assuming 0 and 1 only */
1.231     brouard  4746:                                ij=0;
                   4747:                                for(i=0; i<=1;i++){
                   4748:                                        nbcode[Tvar[k]][++ij]=i;
                   4749:                                }
                   4750:                                break;
1.227     brouard  4751:       default:
1.231     brouard  4752:                                break;
1.227     brouard  4753:       } /* end switch */
                   4754:     } /* end dummy test */
1.225     brouard  4755:     
1.192     brouard  4756:     /*   for (k=0; k<= cptcode; k++) { /\* k=-1 ? k=0 to 1 *\//\* Could be 1 to 4 *\//\* cptcode=modmaxcovj *\/ */
                   4757:     /*         /\*recode from 0 *\/ */
                   4758:     /*                                      k is a modality. If we have model=V1+V1*sex  */
                   4759:     /*                                      then: nbcode[1][1]=0 ; nbcode[1][2]=1; nbcode[2][1]=0 ; nbcode[2][2]=1; */
                   4760:     /*                                   But if some modality were not used, it is recoded from 0 to a newer modmaxcovj=cptcode *\/ */
                   4761:     /*         } */
                   4762:     /*         /\* cptcode = ij; *\/ /\* New max modality for covar j *\/ */
                   4763:     /*         if (ij > ncodemax[j]) { */
                   4764:     /*           printf( " Error ij=%d > ncodemax[%d]=%d\n", ij, j, ncodemax[j]);  */
                   4765:     /*           fprintf(ficlog, " Error ij=%d > ncodemax[%d]=%d\n", ij, j, ncodemax[j]); */
                   4766:     /*           break; */
                   4767:     /*         } */
                   4768:     /*   }  /\* end of loop on modality k *\/ */
1.137     brouard  4769:   } /* end of loop on model-covariate j. nbcode[Tvarj][1]=0 and nbcode[Tvarj][2]=1 sets the value of covariate j*/  
                   4770:   
1.225     brouard  4771:   for (k=-1; k< maxncov; k++) Ndum[k]=0; 
1.227     brouard  4772:   /* Look at fixed dummy (single or product) covariates to check empty modalities */
1.187     brouard  4773:   for (i=1; i<=ncovmodel-2-nagesqr; i++) { /* -2, cste and age and eventually age*age */ 
1.225     brouard  4774:     /* 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  4775:     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 */ 
                   4776:     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 */
                   4777:     /* 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  4778:   } /* V4+V3+V5, Ndum[1]@5={0, 0, 1, 1, 1} */
                   4779:   
                   4780:   ij=0;
1.227     brouard  4781:   /* for (i=0; i<=  maxncov-1; i++) { /\* modmaxcovj is unknown here. Only Ndum[2(V2),3(age*V3), 5(V3*V2) 6(V1*V4) *\/ */
                   4782:   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  4783:     /*printf("Ndum[%d]=%d\n",i, Ndum[i]);*/
1.227     brouard  4784:     /* if((Ndum[i]!=0) && (i<=ncovcol)){  /\* Tvar[i] <= ncovmodel ? *\/ */
                   4785:     if(Ndum[Tvar[k]]!=0 && Dummy[k] == 0 && Typevar[k]==0){  /* Only Dummy and non empty in the model */
                   4786:       /* If product not in single variable we don't print results */
1.225     brouard  4787:       /*printf("diff Ndum[%d]=%d\n",i, Ndum[i]);*/
1.230     brouard  4788:       ++ij;/* V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1, */
                   4789:       Tvaraff[ij]=Tvar[k]; /* For printing combination *//* V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1, Tvar {5, 4, 3, 6, 5, 2, 7, 1, 1} Tvaraff={4, 3, 1} V4, V3, V1*/
                   4790:       Tmodelind[ij]=k; /* Tmodelind: index in model of dummies Tmodelind[1]=2 V4: pos=2; V3: pos=3, V1=9 {2, 3, 9, ?, ?,} */
1.231     brouard  4791:       TmodelInvind[ij]=Tvar[k]- ncovcol-nqv; /* Inverse TmodelInvind[2=V4]=2 second dummy varying cov (V4)4-1-1 {0, 2, 1, } TmodelInvind[3]=1 */
1.227     brouard  4792:       if(Fixed[k]!=0)
                   4793:         anyvaryingduminmodel=1;
1.231     brouard  4794:                        /* }else if((Ndum[i]!=0) && (i<=ncovcol+nqv)){ */
                   4795:                        /*   Tvaraff[++ij]=-10; /\* Dont'n know how to treat quantitative variables yet *\/ */
                   4796:                        /* }else if((Ndum[i]!=0) && (i<=ncovcol+nqv+ntv)){ */
                   4797:                        /*   Tvaraff[++ij]=i; /\*For printing (unclear) *\/ */
                   4798:                        /* }else if((Ndum[i]!=0) && (i<=ncovcol+nqv+ntv+nqtv)){ */
                   4799:                        /*   Tvaraff[++ij]=-20; /\* Dont'n know how to treat quantitative variables yet *\/ */
1.227     brouard  4800:     } 
1.225     brouard  4801:   } /* Tvaraff[1]@5 {3, 4, -20, 0, 0} Very strange */
                   4802:   /* ij--; */
                   4803:   /* cptcoveff=ij; /\*Number of total covariates*\/ */
                   4804:   *cptcov=ij; /*Number of total real effective covariates: effective
1.231     brouard  4805:                                                         * because they can be excluded from the model and real
                   4806:                                                         * if in the model but excluded because missing values, but how to get k from ij?*/
1.227     brouard  4807:   for(j=ij+1; j<= cptcovt; j++){
                   4808:     Tvaraff[j]=0;
                   4809:     Tmodelind[j]=0;
                   4810:   }
1.228     brouard  4811:   for(j=ntveff+1; j<= cptcovt; j++){
                   4812:     TmodelInvind[j]=0;
                   4813:   }
1.227     brouard  4814:   /* To be sorted */
                   4815:   ;
1.126     brouard  4816: }
                   4817: 
1.145     brouard  4818: 
1.126     brouard  4819: /*********** Health Expectancies ****************/
                   4820: 
1.127     brouard  4821: 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  4822: 
                   4823: {
                   4824:   /* Health expectancies, no variances */
1.164     brouard  4825:   int i, j, nhstepm, hstepm, h, nstepm;
1.126     brouard  4826:   int nhstepma, nstepma; /* Decreasing with age */
                   4827:   double age, agelim, hf;
                   4828:   double ***p3mat;
                   4829:   double eip;
                   4830: 
                   4831:   pstamp(ficreseij);
                   4832:   fprintf(ficreseij,"# (a) Life expectancies by health status at initial age and (b) health expectancies by health status at initial age\n");
                   4833:   fprintf(ficreseij,"# Age");
                   4834:   for(i=1; i<=nlstate;i++){
                   4835:     for(j=1; j<=nlstate;j++){
                   4836:       fprintf(ficreseij," e%1d%1d ",i,j);
                   4837:     }
                   4838:     fprintf(ficreseij," e%1d. ",i);
                   4839:   }
                   4840:   fprintf(ficreseij,"\n");
                   4841: 
                   4842:   
                   4843:   if(estepm < stepm){
                   4844:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   4845:   }
                   4846:   else  hstepm=estepm;   
                   4847:   /* We compute the life expectancy from trapezoids spaced every estepm months
                   4848:    * This is mainly to measure the difference between two models: for example
                   4849:    * if stepm=24 months pijx are given only every 2 years and by summing them
                   4850:    * we are calculating an estimate of the Life Expectancy assuming a linear 
                   4851:    * progression in between and thus overestimating or underestimating according
                   4852:    * to the curvature of the survival function. If, for the same date, we 
                   4853:    * estimate the model with stepm=1 month, we can keep estepm to 24 months
                   4854:    * to compare the new estimate of Life expectancy with the same linear 
                   4855:    * hypothesis. A more precise result, taking into account a more precise
                   4856:    * curvature will be obtained if estepm is as small as stepm. */
                   4857: 
                   4858:   /* For example we decided to compute the life expectancy with the smallest unit */
                   4859:   /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
                   4860:      nhstepm is the number of hstepm from age to agelim 
                   4861:      nstepm is the number of stepm from age to agelin. 
                   4862:      Look at hpijx to understand the reason of that which relies in memory size
                   4863:      and note for a fixed period like estepm months */
                   4864:   /* We decided (b) to get a life expectancy respecting the most precise curvature of the
                   4865:      survival function given by stepm (the optimization length). Unfortunately it
                   4866:      means that if the survival funtion is printed only each two years of age and if
                   4867:      you sum them up and add 1 year (area under the trapezoids) you won't get the same 
                   4868:      results. So we changed our mind and took the option of the best precision.
                   4869:   */
                   4870:   hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
                   4871: 
                   4872:   agelim=AGESUP;
                   4873:   /* If stepm=6 months */
                   4874:     /* Computed by stepm unit matrices, product of hstepm matrices, stored
                   4875:        in an array of nhstepm length: nhstepm=10, hstepm=4, stepm=6 months */
                   4876:     
                   4877: /* nhstepm age range expressed in number of stepm */
                   4878:   nstepm=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
                   4879:   /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   4880:   /* if (stepm >= YEARM) hstepm=1;*/
                   4881:   nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
                   4882:   p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   4883: 
                   4884:   for (age=bage; age<=fage; age ++){ 
                   4885:     nstepma=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
                   4886:     /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   4887:     /* if (stepm >= YEARM) hstepm=1;*/
                   4888:     nhstepma = nstepma/hstepm;/* Expressed in hstepm, typically nhstepma=40/4=10 */
                   4889: 
                   4890:     /* If stepm=6 months */
                   4891:     /* Computed by stepm unit matrices, product of hstepma matrices, stored
                   4892:        in an array of nhstepma length: nhstepma=10, hstepm=4, stepm=6 months */
                   4893:     
                   4894:     hpxij(p3mat,nhstepma,age,hstepm,x,nlstate,stepm,oldm, savm, cij);  
                   4895:     
                   4896:     hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
                   4897:     
                   4898:     printf("%d|",(int)age);fflush(stdout);
                   4899:     fprintf(ficlog,"%d|",(int)age);fflush(ficlog);
                   4900:     
                   4901:     /* Computing expectancies */
                   4902:     for(i=1; i<=nlstate;i++)
                   4903:       for(j=1; j<=nlstate;j++)
                   4904:        for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){
                   4905:          eij[i][j][(int)age] += (p3mat[i][j][h]+p3mat[i][j][h+1])/2.0*hf;
                   4906:          
                   4907:          /* 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]);*/
                   4908: 
                   4909:        }
                   4910: 
                   4911:     fprintf(ficreseij,"%3.0f",age );
                   4912:     for(i=1; i<=nlstate;i++){
                   4913:       eip=0;
                   4914:       for(j=1; j<=nlstate;j++){
                   4915:        eip +=eij[i][j][(int)age];
                   4916:        fprintf(ficreseij,"%9.4f", eij[i][j][(int)age] );
                   4917:       }
                   4918:       fprintf(ficreseij,"%9.4f", eip );
                   4919:     }
                   4920:     fprintf(ficreseij,"\n");
                   4921:     
                   4922:   }
                   4923:   free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   4924:   printf("\n");
                   4925:   fprintf(ficlog,"\n");
                   4926:   
                   4927: }
                   4928: 
1.127     brouard  4929: 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  4930: 
                   4931: {
                   4932:   /* Covariances of health expectancies eij and of total life expectancies according
1.222     brouard  4933:      to initial status i, ei. .
1.126     brouard  4934:   */
                   4935:   int i, j, nhstepm, hstepm, h, nstepm, k, cptj, cptj2, i2, j2, ij, ji;
                   4936:   int nhstepma, nstepma; /* Decreasing with age */
                   4937:   double age, agelim, hf;
                   4938:   double ***p3matp, ***p3matm, ***varhe;
                   4939:   double **dnewm,**doldm;
                   4940:   double *xp, *xm;
                   4941:   double **gp, **gm;
                   4942:   double ***gradg, ***trgradg;
                   4943:   int theta;
                   4944: 
                   4945:   double eip, vip;
                   4946: 
                   4947:   varhe=ma3x(1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int) fage);
                   4948:   xp=vector(1,npar);
                   4949:   xm=vector(1,npar);
                   4950:   dnewm=matrix(1,nlstate*nlstate,1,npar);
                   4951:   doldm=matrix(1,nlstate*nlstate,1,nlstate*nlstate);
                   4952:   
                   4953:   pstamp(ficresstdeij);
                   4954:   fprintf(ficresstdeij,"# Health expectancies with standard errors\n");
                   4955:   fprintf(ficresstdeij,"# Age");
                   4956:   for(i=1; i<=nlstate;i++){
                   4957:     for(j=1; j<=nlstate;j++)
                   4958:       fprintf(ficresstdeij," e%1d%1d (SE)",i,j);
                   4959:     fprintf(ficresstdeij," e%1d. ",i);
                   4960:   }
                   4961:   fprintf(ficresstdeij,"\n");
                   4962: 
                   4963:   pstamp(ficrescveij);
                   4964:   fprintf(ficrescveij,"# Subdiagonal matrix of covariances of health expectancies by age: cov(eij,ekl)\n");
                   4965:   fprintf(ficrescveij,"# Age");
                   4966:   for(i=1; i<=nlstate;i++)
                   4967:     for(j=1; j<=nlstate;j++){
                   4968:       cptj= (j-1)*nlstate+i;
                   4969:       for(i2=1; i2<=nlstate;i2++)
                   4970:        for(j2=1; j2<=nlstate;j2++){
                   4971:          cptj2= (j2-1)*nlstate+i2;
                   4972:          if(cptj2 <= cptj)
                   4973:            fprintf(ficrescveij,"  %1d%1d,%1d%1d",i,j,i2,j2);
                   4974:        }
                   4975:     }
                   4976:   fprintf(ficrescveij,"\n");
                   4977:   
                   4978:   if(estepm < stepm){
                   4979:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   4980:   }
                   4981:   else  hstepm=estepm;   
                   4982:   /* We compute the life expectancy from trapezoids spaced every estepm months
                   4983:    * This is mainly to measure the difference between two models: for example
                   4984:    * if stepm=24 months pijx are given only every 2 years and by summing them
                   4985:    * we are calculating an estimate of the Life Expectancy assuming a linear 
                   4986:    * progression in between and thus overestimating or underestimating according
                   4987:    * to the curvature of the survival function. If, for the same date, we 
                   4988:    * estimate the model with stepm=1 month, we can keep estepm to 24 months
                   4989:    * to compare the new estimate of Life expectancy with the same linear 
                   4990:    * hypothesis. A more precise result, taking into account a more precise
                   4991:    * curvature will be obtained if estepm is as small as stepm. */
                   4992: 
                   4993:   /* For example we decided to compute the life expectancy with the smallest unit */
                   4994:   /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
                   4995:      nhstepm is the number of hstepm from age to agelim 
                   4996:      nstepm is the number of stepm from age to agelin. 
                   4997:      Look at hpijx to understand the reason of that which relies in memory size
                   4998:      and note for a fixed period like estepm months */
                   4999:   /* We decided (b) to get a life expectancy respecting the most precise curvature of the
                   5000:      survival function given by stepm (the optimization length). Unfortunately it
                   5001:      means that if the survival funtion is printed only each two years of age and if
                   5002:      you sum them up and add 1 year (area under the trapezoids) you won't get the same 
                   5003:      results. So we changed our mind and took the option of the best precision.
                   5004:   */
                   5005:   hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
                   5006: 
                   5007:   /* If stepm=6 months */
                   5008:   /* nhstepm age range expressed in number of stepm */
                   5009:   agelim=AGESUP;
                   5010:   nstepm=(int) rint((agelim-bage)*YEARM/stepm); 
                   5011:   /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   5012:   /* if (stepm >= YEARM) hstepm=1;*/
                   5013:   nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
                   5014:   
                   5015:   p3matp=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5016:   p3matm=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5017:   gradg=ma3x(0,nhstepm,1,npar,1,nlstate*nlstate);
                   5018:   trgradg =ma3x(0,nhstepm,1,nlstate*nlstate,1,npar);
                   5019:   gp=matrix(0,nhstepm,1,nlstate*nlstate);
                   5020:   gm=matrix(0,nhstepm,1,nlstate*nlstate);
                   5021: 
                   5022:   for (age=bage; age<=fage; age ++){ 
                   5023:     nstepma=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
                   5024:     /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   5025:     /* if (stepm >= YEARM) hstepm=1;*/
                   5026:     nhstepma = nstepma/hstepm;/* Expressed in hstepm, typically nhstepma=40/4=10 */
1.218     brouard  5027:                
1.126     brouard  5028:     /* If stepm=6 months */
                   5029:     /* Computed by stepm unit matrices, product of hstepma matrices, stored
                   5030:        in an array of nhstepma length: nhstepma=10, hstepm=4, stepm=6 months */
                   5031:     
                   5032:     hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
1.218     brouard  5033:                
1.126     brouard  5034:     /* Computing  Variances of health expectancies */
                   5035:     /* Gradient is computed with plus gp and minus gm. Code is duplicated in order to
                   5036:        decrease memory allocation */
                   5037:     for(theta=1; theta <=npar; theta++){
                   5038:       for(i=1; i<=npar; i++){ 
1.222     brouard  5039:        xp[i] = x[i] + (i==theta ?delti[theta]:0);
                   5040:        xm[i] = x[i] - (i==theta ?delti[theta]:0);
1.126     brouard  5041:       }
                   5042:       hpxij(p3matp,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, cij);  
                   5043:       hpxij(p3matm,nhstepm,age,hstepm,xm,nlstate,stepm,oldm,savm, cij);  
1.218     brouard  5044:                        
1.126     brouard  5045:       for(j=1; j<= nlstate; j++){
1.222     brouard  5046:        for(i=1; i<=nlstate; i++){
                   5047:          for(h=0; h<=nhstepm-1; h++){
                   5048:            gp[h][(j-1)*nlstate + i] = (p3matp[i][j][h]+p3matp[i][j][h+1])/2.;
                   5049:            gm[h][(j-1)*nlstate + i] = (p3matm[i][j][h]+p3matm[i][j][h+1])/2.;
                   5050:          }
                   5051:        }
1.126     brouard  5052:       }
1.218     brouard  5053:                        
1.126     brouard  5054:       for(ij=1; ij<= nlstate*nlstate; ij++)
1.222     brouard  5055:        for(h=0; h<=nhstepm-1; h++){
                   5056:          gradg[h][theta][ij]= (gp[h][ij]-gm[h][ij])/2./delti[theta];
                   5057:        }
1.126     brouard  5058:     }/* End theta */
                   5059:     
                   5060:     
                   5061:     for(h=0; h<=nhstepm-1; h++)
                   5062:       for(j=1; j<=nlstate*nlstate;j++)
1.222     brouard  5063:        for(theta=1; theta <=npar; theta++)
                   5064:          trgradg[h][j][theta]=gradg[h][theta][j];
1.126     brouard  5065:     
1.218     brouard  5066:                
1.222     brouard  5067:     for(ij=1;ij<=nlstate*nlstate;ij++)
1.126     brouard  5068:       for(ji=1;ji<=nlstate*nlstate;ji++)
1.222     brouard  5069:        varhe[ij][ji][(int)age] =0.;
1.218     brouard  5070:                
1.222     brouard  5071:     printf("%d|",(int)age);fflush(stdout);
                   5072:     fprintf(ficlog,"%d|",(int)age);fflush(ficlog);
                   5073:     for(h=0;h<=nhstepm-1;h++){
1.126     brouard  5074:       for(k=0;k<=nhstepm-1;k++){
1.222     brouard  5075:        matprod2(dnewm,trgradg[h],1,nlstate*nlstate,1,npar,1,npar,matcov);
                   5076:        matprod2(doldm,dnewm,1,nlstate*nlstate,1,npar,1,nlstate*nlstate,gradg[k]);
                   5077:        for(ij=1;ij<=nlstate*nlstate;ij++)
                   5078:          for(ji=1;ji<=nlstate*nlstate;ji++)
                   5079:            varhe[ij][ji][(int)age] += doldm[ij][ji]*hf*hf;
1.126     brouard  5080:       }
                   5081:     }
1.218     brouard  5082:                
1.126     brouard  5083:     /* Computing expectancies */
                   5084:     hpxij(p3matm,nhstepm,age,hstepm,x,nlstate,stepm,oldm, savm, cij);  
                   5085:     for(i=1; i<=nlstate;i++)
                   5086:       for(j=1; j<=nlstate;j++)
1.222     brouard  5087:        for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){
                   5088:          eij[i][j][(int)age] += (p3matm[i][j][h]+p3matm[i][j][h+1])/2.0*hf;
1.218     brouard  5089:                                        
1.222     brouard  5090:          /* 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  5091:                                        
1.222     brouard  5092:        }
1.218     brouard  5093:                
1.126     brouard  5094:     fprintf(ficresstdeij,"%3.0f",age );
                   5095:     for(i=1; i<=nlstate;i++){
                   5096:       eip=0.;
                   5097:       vip=0.;
                   5098:       for(j=1; j<=nlstate;j++){
1.222     brouard  5099:        eip += eij[i][j][(int)age];
                   5100:        for(k=1; k<=nlstate;k++) /* Sum on j and k of cov(eij,eik) */
                   5101:          vip += varhe[(j-1)*nlstate+i][(k-1)*nlstate+i][(int)age];
                   5102:        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  5103:       }
                   5104:       fprintf(ficresstdeij," %9.4f (%.4f)", eip, sqrt(vip));
                   5105:     }
                   5106:     fprintf(ficresstdeij,"\n");
1.218     brouard  5107:                
1.126     brouard  5108:     fprintf(ficrescveij,"%3.0f",age );
                   5109:     for(i=1; i<=nlstate;i++)
                   5110:       for(j=1; j<=nlstate;j++){
1.222     brouard  5111:        cptj= (j-1)*nlstate+i;
                   5112:        for(i2=1; i2<=nlstate;i2++)
                   5113:          for(j2=1; j2<=nlstate;j2++){
                   5114:            cptj2= (j2-1)*nlstate+i2;
                   5115:            if(cptj2 <= cptj)
                   5116:              fprintf(ficrescveij," %.4f", varhe[cptj][cptj2][(int)age]);
                   5117:          }
1.126     brouard  5118:       }
                   5119:     fprintf(ficrescveij,"\n");
1.218     brouard  5120:                
1.126     brouard  5121:   }
                   5122:   free_matrix(gm,0,nhstepm,1,nlstate*nlstate);
                   5123:   free_matrix(gp,0,nhstepm,1,nlstate*nlstate);
                   5124:   free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate*nlstate);
                   5125:   free_ma3x(trgradg,0,nhstepm,1,nlstate*nlstate,1,npar);
                   5126:   free_ma3x(p3matm,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5127:   free_ma3x(p3matp,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5128:   printf("\n");
                   5129:   fprintf(ficlog,"\n");
1.218     brouard  5130:        
1.126     brouard  5131:   free_vector(xm,1,npar);
                   5132:   free_vector(xp,1,npar);
                   5133:   free_matrix(dnewm,1,nlstate*nlstate,1,npar);
                   5134:   free_matrix(doldm,1,nlstate*nlstate,1,nlstate*nlstate);
                   5135:   free_ma3x(varhe,1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int)fage);
                   5136: }
1.218     brouard  5137:  
1.126     brouard  5138: /************ Variance ******************/
1.209     brouard  5139:  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  5140:  {
                   5141:    /* Variance of health expectancies */
                   5142:    /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);*/
                   5143:    /* double **newm;*/
                   5144:    /* int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav)*/
                   5145:   
                   5146:    /* int movingaverage(); */
                   5147:    double **dnewm,**doldm;
                   5148:    double **dnewmp,**doldmp;
                   5149:    int i, j, nhstepm, hstepm, h, nstepm ;
                   5150:    int k;
                   5151:    double *xp;
                   5152:    double **gp, **gm;  /* for var eij */
                   5153:    double ***gradg, ***trgradg; /*for var eij */
                   5154:    double **gradgp, **trgradgp; /* for var p point j */
                   5155:    double *gpp, *gmp; /* for var p point j */
                   5156:    double **varppt; /* for var p point j nlstate to nlstate+ndeath */
                   5157:    double ***p3mat;
                   5158:    double age,agelim, hf;
                   5159:    /* double ***mobaverage; */
                   5160:    int theta;
                   5161:    char digit[4];
                   5162:    char digitp[25];
                   5163: 
                   5164:    char fileresprobmorprev[FILENAMELENGTH];
                   5165: 
                   5166:    if(popbased==1){
                   5167:      if(mobilav!=0)
                   5168:        strcpy(digitp,"-POPULBASED-MOBILAV_");
                   5169:      else strcpy(digitp,"-POPULBASED-NOMOBIL_");
                   5170:    }
                   5171:    else 
                   5172:      strcpy(digitp,"-STABLBASED_");
1.126     brouard  5173: 
1.218     brouard  5174:    /* if (mobilav!=0) { */
                   5175:    /*   mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   5176:    /*   if (movingaverage(probs, bage, fage, mobaverage,mobilav)!=0){ */
                   5177:    /*     fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav); */
                   5178:    /*     printf(" Error in movingaverage mobilav=%d\n",mobilav); */
                   5179:    /*   } */
                   5180:    /* } */
                   5181: 
                   5182:    strcpy(fileresprobmorprev,"PRMORPREV-"); 
                   5183:    sprintf(digit,"%-d",ij);
                   5184:    /*printf("DIGIT=%s, ij=%d ijr=%-d|\n",digit, ij,ij);*/
                   5185:    strcat(fileresprobmorprev,digit); /* Tvar to be done */
                   5186:    strcat(fileresprobmorprev,digitp); /* Popbased or not, mobilav or not */
                   5187:    strcat(fileresprobmorprev,fileresu);
                   5188:    if((ficresprobmorprev=fopen(fileresprobmorprev,"w"))==NULL) {
                   5189:      printf("Problem with resultfile: %s\n", fileresprobmorprev);
                   5190:      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobmorprev);
                   5191:    }
                   5192:    printf("Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
                   5193:    fprintf(ficlog,"Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
                   5194:    pstamp(ficresprobmorprev);
                   5195:    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);
                   5196:    fprintf(ficresprobmorprev,"# Age cov=%-d",ij);
                   5197:    for(j=nlstate+1; j<=(nlstate+ndeath);j++){
                   5198:      fprintf(ficresprobmorprev," p.%-d SE",j);
                   5199:      for(i=1; i<=nlstate;i++)
                   5200:        fprintf(ficresprobmorprev," w%1d p%-d%-d",i,i,j);
                   5201:    }  
                   5202:    fprintf(ficresprobmorprev,"\n");
                   5203:   
                   5204:    fprintf(ficgp,"\n# Routine varevsij");
                   5205:    fprintf(ficgp,"\nunset title \n");
                   5206:    /* fprintf(fichtm, "#Local time at start: %s", strstart);*/
                   5207:    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");
                   5208:    fprintf(fichtm,"\n<br>%s  <br>\n",digitp);
                   5209:    /*   } */
                   5210:    varppt = matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   5211:    pstamp(ficresvij);
                   5212:    fprintf(ficresvij,"# Variance and covariance of health expectancies e.j \n#  (weighted average of eij where weights are ");
                   5213:    if(popbased==1)
                   5214:      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);
                   5215:    else
                   5216:      fprintf(ficresvij,"the age specific period (stable) prevalences in each health state \n");
                   5217:    fprintf(ficresvij,"# Age");
                   5218:    for(i=1; i<=nlstate;i++)
                   5219:      for(j=1; j<=nlstate;j++)
                   5220:        fprintf(ficresvij," Cov(e.%1d, e.%1d)",i,j);
                   5221:    fprintf(ficresvij,"\n");
                   5222: 
                   5223:    xp=vector(1,npar);
                   5224:    dnewm=matrix(1,nlstate,1,npar);
                   5225:    doldm=matrix(1,nlstate,1,nlstate);
                   5226:    dnewmp= matrix(nlstate+1,nlstate+ndeath,1,npar);
                   5227:    doldmp= matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   5228: 
                   5229:    gradgp=matrix(1,npar,nlstate+1,nlstate+ndeath);
                   5230:    gpp=vector(nlstate+1,nlstate+ndeath);
                   5231:    gmp=vector(nlstate+1,nlstate+ndeath);
                   5232:    trgradgp =matrix(nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
1.126     brouard  5233:   
1.218     brouard  5234:    if(estepm < stepm){
                   5235:      printf ("Problem %d lower than %d\n",estepm, stepm);
                   5236:    }
                   5237:    else  hstepm=estepm;   
                   5238:    /* For example we decided to compute the life expectancy with the smallest unit */
                   5239:    /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
                   5240:       nhstepm is the number of hstepm from age to agelim 
                   5241:       nstepm is the number of stepm from age to agelim. 
                   5242:       Look at function hpijx to understand why because of memory size limitations, 
                   5243:       we decided (b) to get a life expectancy respecting the most precise curvature of the
                   5244:       survival function given by stepm (the optimization length). Unfortunately it
                   5245:       means that if the survival funtion is printed every two years of age and if
                   5246:       you sum them up and add 1 year (area under the trapezoids) you won't get the same 
                   5247:       results. So we changed our mind and took the option of the best precision.
                   5248:    */
                   5249:    hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
                   5250:    agelim = AGESUP;
                   5251:    for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
                   5252:      nstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
                   5253:      nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
                   5254:      p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5255:      gradg=ma3x(0,nhstepm,1,npar,1,nlstate);
                   5256:      gp=matrix(0,nhstepm,1,nlstate);
                   5257:      gm=matrix(0,nhstepm,1,nlstate);
                   5258:                
                   5259:                
                   5260:      for(theta=1; theta <=npar; theta++){
                   5261:        for(i=1; i<=npar; i++){ /* Computes gradient x + delta*/
                   5262:         xp[i] = x[i] + (i==theta ?delti[theta]:0);
                   5263:        }
                   5264:                        
                   5265:        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij);
                   5266:                        
                   5267:        if (popbased==1) {
                   5268:         if(mobilav ==0){
                   5269:           for(i=1; i<=nlstate;i++)
                   5270:             prlim[i][i]=probs[(int)age][i][ij];
                   5271:         }else{ /* mobilav */ 
                   5272:           for(i=1; i<=nlstate;i++)
                   5273:             prlim[i][i]=mobaverage[(int)age][i][ij];
                   5274:         }
                   5275:        }
                   5276:                        
                   5277:        hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);  /* Returns p3mat[i][j][h] for h=1 to nhstepm */
                   5278:        for(j=1; j<= nlstate; j++){
                   5279:         for(h=0; h<=nhstepm; h++){
                   5280:           for(i=1, gp[h][j]=0.;i<=nlstate;i++)
                   5281:             gp[h][j] += prlim[i][i]*p3mat[i][j][h];
                   5282:         }
                   5283:        }
                   5284:        /* Next for computing probability of death (h=1 means
                   5285:          computed over hstepm matrices product = hstepm*stepm months) 
                   5286:          as a weighted average of prlim.
                   5287:        */
                   5288:        for(j=nlstate+1;j<=nlstate+ndeath;j++){
                   5289:         for(i=1,gpp[j]=0.; i<= nlstate; i++)
                   5290:           gpp[j] += prlim[i][i]*p3mat[i][j][1];
                   5291:        }    
                   5292:        /* end probability of death */
                   5293:                        
                   5294:        for(i=1; i<=npar; i++) /* Computes gradient x - delta */
                   5295:         xp[i] = x[i] - (i==theta ?delti[theta]:0);
                   5296:                        
                   5297:        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp, ij);
                   5298:                        
                   5299:        if (popbased==1) {
                   5300:         if(mobilav ==0){
                   5301:           for(i=1; i<=nlstate;i++)
                   5302:             prlim[i][i]=probs[(int)age][i][ij];
                   5303:         }else{ /* mobilav */ 
                   5304:           for(i=1; i<=nlstate;i++)
                   5305:             prlim[i][i]=mobaverage[(int)age][i][ij];
                   5306:         }
                   5307:        }
                   5308:                        
                   5309:        hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);  
                   5310:                        
                   5311:        for(j=1; j<= nlstate; j++){  /* Sum of wi * eij = e.j */
                   5312:         for(h=0; h<=nhstepm; h++){
                   5313:           for(i=1, gm[h][j]=0.;i<=nlstate;i++)
                   5314:             gm[h][j] += prlim[i][i]*p3mat[i][j][h];
                   5315:         }
                   5316:        }
                   5317:        /* This for computing probability of death (h=1 means
                   5318:          computed over hstepm matrices product = hstepm*stepm months) 
                   5319:          as a weighted average of prlim.
                   5320:        */
                   5321:        for(j=nlstate+1;j<=nlstate+ndeath;j++){
                   5322:         for(i=1,gmp[j]=0.; i<= nlstate; i++)
                   5323:           gmp[j] += prlim[i][i]*p3mat[i][j][1];
                   5324:        }    
                   5325:        /* end probability of death */
                   5326:                        
                   5327:        for(j=1; j<= nlstate; j++) /* vareij */
                   5328:         for(h=0; h<=nhstepm; h++){
                   5329:           gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta];
                   5330:         }
                   5331:                        
                   5332:        for(j=nlstate+1; j<= nlstate+ndeath; j++){ /* var mu */
                   5333:         gradgp[theta][j]= (gpp[j]-gmp[j])/2./delti[theta];
                   5334:        }
                   5335:                        
                   5336:      } /* End theta */
                   5337:                
                   5338:      trgradg =ma3x(0,nhstepm,1,nlstate,1,npar); /* veij */
                   5339:                
                   5340:      for(h=0; h<=nhstepm; h++) /* veij */
                   5341:        for(j=1; j<=nlstate;j++)
                   5342:         for(theta=1; theta <=npar; theta++)
                   5343:           trgradg[h][j][theta]=gradg[h][theta][j];
                   5344:                
                   5345:      for(j=nlstate+1; j<=nlstate+ndeath;j++) /* mu */
                   5346:        for(theta=1; theta <=npar; theta++)
                   5347:         trgradgp[j][theta]=gradgp[theta][j];
                   5348:                
                   5349:                
                   5350:      hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
                   5351:      for(i=1;i<=nlstate;i++)
                   5352:        for(j=1;j<=nlstate;j++)
                   5353:         vareij[i][j][(int)age] =0.;
                   5354:                
                   5355:      for(h=0;h<=nhstepm;h++){
                   5356:        for(k=0;k<=nhstepm;k++){
                   5357:         matprod2(dnewm,trgradg[h],1,nlstate,1,npar,1,npar,matcov);
                   5358:         matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg[k]);
                   5359:         for(i=1;i<=nlstate;i++)
                   5360:           for(j=1;j<=nlstate;j++)
                   5361:             vareij[i][j][(int)age] += doldm[i][j]*hf*hf;
                   5362:        }
                   5363:      }
                   5364:                
                   5365:      /* pptj */
                   5366:      matprod2(dnewmp,trgradgp,nlstate+1,nlstate+ndeath,1,npar,1,npar,matcov);
                   5367:      matprod2(doldmp,dnewmp,nlstate+1,nlstate+ndeath,1,npar,nlstate+1,nlstate+ndeath,gradgp);
                   5368:      for(j=nlstate+1;j<=nlstate+ndeath;j++)
                   5369:        for(i=nlstate+1;i<=nlstate+ndeath;i++)
                   5370:         varppt[j][i]=doldmp[j][i];
                   5371:      /* end ppptj */
                   5372:      /*  x centered again */
                   5373:                
                   5374:      prevalim(prlim,nlstate,x,age,oldm,savm,ftolpl,ncvyearp,ij);
                   5375:                
                   5376:      if (popbased==1) {
                   5377:        if(mobilav ==0){
                   5378:         for(i=1; i<=nlstate;i++)
                   5379:           prlim[i][i]=probs[(int)age][i][ij];
                   5380:        }else{ /* mobilav */ 
                   5381:         for(i=1; i<=nlstate;i++)
                   5382:           prlim[i][i]=mobaverage[(int)age][i][ij];
                   5383:        }
                   5384:      }
                   5385:                
                   5386:      /* This for computing probability of death (h=1 means
                   5387:        computed over hstepm (estepm) matrices product = hstepm*stepm months) 
                   5388:        as a weighted average of prlim.
                   5389:      */
                   5390:      hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm,savm, ij);  
                   5391:      for(j=nlstate+1;j<=nlstate+ndeath;j++){
                   5392:        for(i=1,gmp[j]=0.;i<= nlstate; i++) 
                   5393:         gmp[j] += prlim[i][i]*p3mat[i][j][1]; 
                   5394:      }    
                   5395:      /* end probability of death */
                   5396:                
                   5397:      fprintf(ficresprobmorprev,"%3d %d ",(int) age, ij);
                   5398:      for(j=nlstate+1; j<=(nlstate+ndeath);j++){
                   5399:        fprintf(ficresprobmorprev," %11.3e %11.3e",gmp[j], sqrt(varppt[j][j]));
                   5400:        for(i=1; i<=nlstate;i++){
                   5401:         fprintf(ficresprobmorprev," %11.3e %11.3e ",prlim[i][i],p3mat[i][j][1]);
                   5402:        }
                   5403:      } 
                   5404:      fprintf(ficresprobmorprev,"\n");
                   5405:                
                   5406:      fprintf(ficresvij,"%.0f ",age );
                   5407:      for(i=1; i<=nlstate;i++)
                   5408:        for(j=1; j<=nlstate;j++){
                   5409:         fprintf(ficresvij," %.4f", vareij[i][j][(int)age]);
                   5410:        }
                   5411:      fprintf(ficresvij,"\n");
                   5412:      free_matrix(gp,0,nhstepm,1,nlstate);
                   5413:      free_matrix(gm,0,nhstepm,1,nlstate);
                   5414:      free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate);
                   5415:      free_ma3x(trgradg,0,nhstepm,1,nlstate,1,npar);
                   5416:      free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5417:    } /* End age */
                   5418:    free_vector(gpp,nlstate+1,nlstate+ndeath);
                   5419:    free_vector(gmp,nlstate+1,nlstate+ndeath);
                   5420:    free_matrix(gradgp,1,npar,nlstate+1,nlstate+ndeath);
                   5421:    free_matrix(trgradgp,nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
                   5422:    /* fprintf(ficgp,"\nunset parametric;unset label; set ter png small size 320, 240"); */
                   5423:    fprintf(ficgp,"\nunset parametric;unset label; set ter svg size 640, 480");
                   5424:    /* for(j=nlstate+1; j<= nlstate+ndeath; j++){ *//* Only the first actually */
                   5425:    fprintf(ficgp,"\n set log y; unset log x;set xlabel \"Age\"; set ylabel \"Force of mortality (year-1)\";");
                   5426:    fprintf(ficgp,"\nset out \"%s%s.svg\";",subdirf3(optionfilefiname,"VARMUPTJGR-",digitp),digit);
                   5427:    /*   fprintf(ficgp,"\n plot \"%s\"  u 1:($3*%6.3f) not w l 1 ",fileresprobmorprev,YEARM/estepm); */
                   5428:    /*   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)*%6.3f) t \"95\%% interval\" w l 2 ",fileresprobmorprev,YEARM/estepm); */
                   5429:    /*   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)*%6.3f) not w l 2 ",fileresprobmorprev,YEARM/estepm); */
                   5430:    fprintf(ficgp,"\n plot \"%s\"  u 1:($3) not w l lt 1 ",subdirf(fileresprobmorprev));
                   5431:    fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)) t \"95%% interval\" w l lt 2 ",subdirf(fileresprobmorprev));
                   5432:    fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)) not w l lt 2 ",subdirf(fileresprobmorprev));
                   5433:    fprintf(fichtm,"\n<br> File (multiple files are possible if covariates are present): <A href=\"%s\">%s</a>\n",subdirf(fileresprobmorprev),subdirf(fileresprobmorprev));
                   5434:    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);
                   5435:    /*  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  5436:     */
1.218     brouard  5437:    /*   fprintf(ficgp,"\nset out \"varmuptjgr%s%s%s.svg\";replot;",digitp,optionfilefiname,digit); */
                   5438:    fprintf(ficgp,"\nset out;\nset out \"%s%s.svg\";replot;set out;\n",subdirf3(optionfilefiname,"VARMUPTJGR-",digitp),digit);
1.126     brouard  5439: 
1.218     brouard  5440:    free_vector(xp,1,npar);
                   5441:    free_matrix(doldm,1,nlstate,1,nlstate);
                   5442:    free_matrix(dnewm,1,nlstate,1,npar);
                   5443:    free_matrix(doldmp,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   5444:    free_matrix(dnewmp,nlstate+1,nlstate+ndeath,1,npar);
                   5445:    free_matrix(varppt,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   5446:    /* if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   5447:    fclose(ficresprobmorprev);
                   5448:    fflush(ficgp);
                   5449:    fflush(fichtm); 
                   5450:  }  /* end varevsij */
1.126     brouard  5451: 
                   5452: /************ Variance of prevlim ******************/
1.209     brouard  5453:  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  5454: {
1.205     brouard  5455:   /* Variance of prevalence limit  for each state ij using current parameters x[] and estimates of neighbourhood give by delti*/
1.126     brouard  5456:   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double **savm,double ftolpl);*/
1.164     brouard  5457: 
1.126     brouard  5458:   double **dnewm,**doldm;
                   5459:   int i, j, nhstepm, hstepm;
                   5460:   double *xp;
                   5461:   double *gp, *gm;
                   5462:   double **gradg, **trgradg;
1.208     brouard  5463:   double **mgm, **mgp;
1.126     brouard  5464:   double age,agelim;
                   5465:   int theta;
                   5466:   
                   5467:   pstamp(ficresvpl);
                   5468:   fprintf(ficresvpl,"# Standard deviation of period (stable) prevalences \n");
                   5469:   fprintf(ficresvpl,"# Age");
                   5470:   for(i=1; i<=nlstate;i++)
                   5471:       fprintf(ficresvpl," %1d-%1d",i,i);
                   5472:   fprintf(ficresvpl,"\n");
                   5473: 
                   5474:   xp=vector(1,npar);
                   5475:   dnewm=matrix(1,nlstate,1,npar);
                   5476:   doldm=matrix(1,nlstate,1,nlstate);
                   5477:   
                   5478:   hstepm=1*YEARM; /* Every year of age */
                   5479:   hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */ 
                   5480:   agelim = AGESUP;
                   5481:   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
                   5482:     nhstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
                   5483:     if (stepm >= YEARM) hstepm=1;
                   5484:     nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
                   5485:     gradg=matrix(1,npar,1,nlstate);
1.208     brouard  5486:     mgp=matrix(1,npar,1,nlstate);
                   5487:     mgm=matrix(1,npar,1,nlstate);
1.126     brouard  5488:     gp=vector(1,nlstate);
                   5489:     gm=vector(1,nlstate);
                   5490: 
                   5491:     for(theta=1; theta <=npar; theta++){
                   5492:       for(i=1; i<=npar; i++){ /* Computes gradient */
                   5493:        xp[i] = x[i] + (i==theta ?delti[theta]:0);
                   5494:       }
1.209     brouard  5495:       if((int)age==79 ||(int)age== 80 ||(int)age== 81 )
                   5496:        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij);
                   5497:       else
                   5498:        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij);
1.208     brouard  5499:       for(i=1;i<=nlstate;i++){
1.126     brouard  5500:        gp[i] = prlim[i][i];
1.208     brouard  5501:        mgp[theta][i] = prlim[i][i];
                   5502:       }
1.126     brouard  5503:       for(i=1; i<=npar; i++) /* Computes gradient */
                   5504:        xp[i] = x[i] - (i==theta ?delti[theta]:0);
1.209     brouard  5505:       if((int)age==79 ||(int)age== 80 ||(int)age== 81 )
                   5506:        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij);
                   5507:       else
                   5508:        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij);
1.208     brouard  5509:       for(i=1;i<=nlstate;i++){
1.126     brouard  5510:        gm[i] = prlim[i][i];
1.208     brouard  5511:        mgm[theta][i] = prlim[i][i];
                   5512:       }
1.126     brouard  5513:       for(i=1;i<=nlstate;i++)
                   5514:        gradg[theta][i]= (gp[i]-gm[i])/2./delti[theta];
1.209     brouard  5515:       /* gradg[theta][2]= -gradg[theta][1]; */ /* For testing if nlstate=2 */
1.126     brouard  5516:     } /* End theta */
                   5517: 
                   5518:     trgradg =matrix(1,nlstate,1,npar);
                   5519: 
                   5520:     for(j=1; j<=nlstate;j++)
                   5521:       for(theta=1; theta <=npar; theta++)
                   5522:        trgradg[j][theta]=gradg[theta][j];
1.209     brouard  5523:     /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ){ */
                   5524:     /*   printf("\nmgm mgp %d ",(int)age); */
                   5525:     /*   for(j=1; j<=nlstate;j++){ */
                   5526:     /*         printf(" %d ",j); */
                   5527:     /*         for(theta=1; theta <=npar; theta++) */
                   5528:     /*           printf(" %d %lf %lf",theta,mgm[theta][j],mgp[theta][j]); */
                   5529:     /*         printf("\n "); */
                   5530:     /*   } */
                   5531:     /* } */
                   5532:     /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ){ */
                   5533:     /*   printf("\n gradg %d ",(int)age); */
                   5534:     /*   for(j=1; j<=nlstate;j++){ */
                   5535:     /*         printf("%d ",j); */
                   5536:     /*         for(theta=1; theta <=npar; theta++) */
                   5537:     /*           printf("%d %lf ",theta,gradg[theta][j]); */
                   5538:     /*         printf("\n "); */
                   5539:     /*   } */
                   5540:     /* } */
1.126     brouard  5541: 
                   5542:     for(i=1;i<=nlstate;i++)
                   5543:       varpl[i][(int)age] =0.;
1.209     brouard  5544:     if((int)age==79 ||(int)age== 80  ||(int)age== 81){
1.205     brouard  5545:     matprod2(dnewm,trgradg,1,nlstate,1,npar,1,npar,matcov);
                   5546:     matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg);
                   5547:     }else{
1.126     brouard  5548:     matprod2(dnewm,trgradg,1,nlstate,1,npar,1,npar,matcov);
                   5549:     matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg);
1.205     brouard  5550:     }
1.126     brouard  5551:     for(i=1;i<=nlstate;i++)
                   5552:       varpl[i][(int)age] = doldm[i][i]; /* Covariances are useless */
                   5553: 
                   5554:     fprintf(ficresvpl,"%.0f ",age );
                   5555:     for(i=1; i<=nlstate;i++)
                   5556:       fprintf(ficresvpl," %.5f (%.5f)",prlim[i][i],sqrt(varpl[i][(int)age]));
                   5557:     fprintf(ficresvpl,"\n");
                   5558:     free_vector(gp,1,nlstate);
                   5559:     free_vector(gm,1,nlstate);
1.208     brouard  5560:     free_matrix(mgm,1,npar,1,nlstate);
                   5561:     free_matrix(mgp,1,npar,1,nlstate);
1.126     brouard  5562:     free_matrix(gradg,1,npar,1,nlstate);
                   5563:     free_matrix(trgradg,1,nlstate,1,npar);
                   5564:   } /* End age */
                   5565: 
                   5566:   free_vector(xp,1,npar);
                   5567:   free_matrix(doldm,1,nlstate,1,npar);
                   5568:   free_matrix(dnewm,1,nlstate,1,nlstate);
                   5569: 
                   5570: }
                   5571: 
                   5572: /************ Variance of one-step probabilities  ******************/
                   5573: 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  5574:  {
                   5575:    int i, j=0,  k1, l1, tj;
                   5576:    int k2, l2, j1,  z1;
                   5577:    int k=0, l;
                   5578:    int first=1, first1, first2;
                   5579:    double cv12, mu1, mu2, lc1, lc2, v12, v21, v11, v22,v1,v2, c12, tnalp;
                   5580:    double **dnewm,**doldm;
                   5581:    double *xp;
                   5582:    double *gp, *gm;
                   5583:    double **gradg, **trgradg;
                   5584:    double **mu;
                   5585:    double age, cov[NCOVMAX+1];
                   5586:    double std=2.0; /* Number of standard deviation wide of confidence ellipsoids */
                   5587:    int theta;
                   5588:    char fileresprob[FILENAMELENGTH];
                   5589:    char fileresprobcov[FILENAMELENGTH];
                   5590:    char fileresprobcor[FILENAMELENGTH];
                   5591:    double ***varpij;
                   5592: 
                   5593:    strcpy(fileresprob,"PROB_"); 
                   5594:    strcat(fileresprob,fileres);
                   5595:    if((ficresprob=fopen(fileresprob,"w"))==NULL) {
                   5596:      printf("Problem with resultfile: %s\n", fileresprob);
                   5597:      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprob);
                   5598:    }
                   5599:    strcpy(fileresprobcov,"PROBCOV_"); 
                   5600:    strcat(fileresprobcov,fileresu);
                   5601:    if((ficresprobcov=fopen(fileresprobcov,"w"))==NULL) {
                   5602:      printf("Problem with resultfile: %s\n", fileresprobcov);
                   5603:      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcov);
                   5604:    }
                   5605:    strcpy(fileresprobcor,"PROBCOR_"); 
                   5606:    strcat(fileresprobcor,fileresu);
                   5607:    if((ficresprobcor=fopen(fileresprobcor,"w"))==NULL) {
                   5608:      printf("Problem with resultfile: %s\n", fileresprobcor);
                   5609:      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcor);
                   5610:    }
                   5611:    printf("Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);
                   5612:    fprintf(ficlog,"Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);
                   5613:    printf("Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);
                   5614:    fprintf(ficlog,"Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);
                   5615:    printf("and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);
                   5616:    fprintf(ficlog,"and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);
                   5617:    pstamp(ficresprob);
                   5618:    fprintf(ficresprob,"#One-step probabilities and stand. devi in ()\n");
                   5619:    fprintf(ficresprob,"# Age");
                   5620:    pstamp(ficresprobcov);
                   5621:    fprintf(ficresprobcov,"#One-step probabilities and covariance matrix\n");
                   5622:    fprintf(ficresprobcov,"# Age");
                   5623:    pstamp(ficresprobcor);
                   5624:    fprintf(ficresprobcor,"#One-step probabilities and correlation matrix\n");
                   5625:    fprintf(ficresprobcor,"# Age");
1.126     brouard  5626: 
                   5627: 
1.222     brouard  5628:    for(i=1; i<=nlstate;i++)
                   5629:      for(j=1; j<=(nlstate+ndeath);j++){
                   5630:        fprintf(ficresprob," p%1d-%1d (SE)",i,j);
                   5631:        fprintf(ficresprobcov," p%1d-%1d ",i,j);
                   5632:        fprintf(ficresprobcor," p%1d-%1d ",i,j);
                   5633:      }  
                   5634:    /* fprintf(ficresprob,"\n");
                   5635:       fprintf(ficresprobcov,"\n");
                   5636:       fprintf(ficresprobcor,"\n");
                   5637:    */
                   5638:    xp=vector(1,npar);
                   5639:    dnewm=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);
                   5640:    doldm=matrix(1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath));
                   5641:    mu=matrix(1,(nlstate)*(nlstate+ndeath), (int) bage, (int)fage);
                   5642:    varpij=ma3x(1,nlstate*(nlstate+ndeath),1,nlstate*(nlstate+ndeath),(int) bage, (int) fage);
                   5643:    first=1;
                   5644:    fprintf(ficgp,"\n# Routine varprob");
                   5645:    fprintf(fichtm,"\n<li><h4> Computing and drawing one step probabilities with their confidence intervals</h4></li>\n");
                   5646:    fprintf(fichtm,"\n");
                   5647: 
                   5648:    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);
                   5649:    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);
                   5650:    fprintf(fichtmcov,"\nEllipsoids of confidence centered on point (p<inf>ij</inf>, p<inf>kl</inf>) are estimated \
1.126     brouard  5651: and drawn. It helps understanding how is the covariance between two incidences.\
                   5652:  They are expressed in year<sup>-1</sup> in order to be less dependent of stepm.<br>\n");
1.222     brouard  5653:    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  5654: It can be understood this way: if pij and pkl where uncorrelated the (2x2) matrix of covariance \
                   5655: would have been (1/(var pij), 0 , 0, 1/(var pkl)), and the confidence interval would be 2 \
                   5656: standard deviations wide on each axis. <br>\
                   5657:  Now, if both incidences are correlated (usual case) we diagonalised the inverse of the covariance matrix\
                   5658:  and made the appropriate rotation to look at the uncorrelated principal directions.<br>\
                   5659: To be simple, these graphs help to understand the significativity of each parameter in relation to a second other one.<br> \n");
                   5660: 
1.222     brouard  5661:    cov[1]=1;
                   5662:    /* tj=cptcoveff; */
1.225     brouard  5663:    tj = (int) pow(2,cptcoveff);
1.222     brouard  5664:    if (cptcovn<1) {tj=1;ncodemax[1]=1;}
                   5665:    j1=0;
1.224     brouard  5666:    for(j1=1; j1<=tj;j1++){  /* For each valid combination of covariates or only once*/
1.222     brouard  5667:      if  (cptcovn>0) {
                   5668:        fprintf(ficresprob, "\n#********** Variable "); 
1.225     brouard  5669:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprob, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.222     brouard  5670:        fprintf(ficresprob, "**********\n#\n");
                   5671:        fprintf(ficresprobcov, "\n#********** Variable "); 
1.225     brouard  5672:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcov, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.222     brouard  5673:        fprintf(ficresprobcov, "**********\n#\n");
1.220     brouard  5674:                        
1.222     brouard  5675:        fprintf(ficgp, "\n#********** Variable "); 
1.225     brouard  5676:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficgp, " V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.222     brouard  5677:        fprintf(ficgp, "**********\n#\n");
1.220     brouard  5678:                        
                   5679:                        
1.222     brouard  5680:        fprintf(fichtmcov, "\n<hr  size=\"2\" color=\"#EC5E5E\">********** Variable "); 
1.225     brouard  5681:        for (z1=1; z1<=cptcoveff; z1++) fprintf(fichtm, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.222     brouard  5682:        fprintf(fichtmcov, "**********\n<hr size=\"2\" color=\"#EC5E5E\">");
1.220     brouard  5683:                        
1.222     brouard  5684:        fprintf(ficresprobcor, "\n#********** Variable ");    
1.225     brouard  5685:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcor, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.222     brouard  5686:        fprintf(ficresprobcor, "**********\n#");    
                   5687:        if(invalidvarcomb[j1]){
                   5688:         fprintf(ficgp,"\n#Combination (%d) ignored because no cases \n",j1); 
                   5689:         fprintf(fichtmcov,"\n<h3>Combination (%d) ignored because no cases </h3>\n",j1); 
                   5690:         continue;
                   5691:        }
                   5692:      }
                   5693:      gradg=matrix(1,npar,1,(nlstate)*(nlstate+ndeath));
                   5694:      trgradg=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);
                   5695:      gp=vector(1,(nlstate)*(nlstate+ndeath));
                   5696:      gm=vector(1,(nlstate)*(nlstate+ndeath));
                   5697:      for (age=bage; age<=fage; age ++){ 
                   5698:        cov[2]=age;
                   5699:        if(nagesqr==1)
                   5700:         cov[3]= age*age;
                   5701:        for (k=1; k<=cptcovn;k++) {
                   5702:         cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(j1,k)];
                   5703:         /*cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(j1,Tvar[k])];*//* j1 1 2 3 4
                   5704:                                                                    * 1  1 1 1 1
                   5705:                                                                    * 2  2 1 1 1
                   5706:                                                                    * 3  1 2 1 1
                   5707:                                                                    */
                   5708:         /* nbcode[1][1]=0 nbcode[1][2]=1;*/
                   5709:        }
                   5710:        /* for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
                   5711:        for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
                   5712:        for (k=1; k<=cptcovprod;k++)
                   5713:         cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)]*nbcode[Tvard[k][2]][codtabm(ij,k)];
1.220     brouard  5714:                        
                   5715:                        
1.222     brouard  5716:        for(theta=1; theta <=npar; theta++){
                   5717:         for(i=1; i<=npar; i++)
                   5718:           xp[i] = x[i] + (i==theta ?delti[theta]:(double)0);
1.220     brouard  5719:                                
1.222     brouard  5720:         pmij(pmmij,cov,ncovmodel,xp,nlstate);
1.220     brouard  5721:                                
1.222     brouard  5722:         k=0;
                   5723:         for(i=1; i<= (nlstate); i++){
                   5724:           for(j=1; j<=(nlstate+ndeath);j++){
                   5725:             k=k+1;
                   5726:             gp[k]=pmmij[i][j];
                   5727:           }
                   5728:         }
1.220     brouard  5729:                                
1.222     brouard  5730:         for(i=1; i<=npar; i++)
                   5731:           xp[i] = x[i] - (i==theta ?delti[theta]:(double)0);
1.220     brouard  5732:                                
1.222     brouard  5733:         pmij(pmmij,cov,ncovmodel,xp,nlstate);
                   5734:         k=0;
                   5735:         for(i=1; i<=(nlstate); i++){
                   5736:           for(j=1; j<=(nlstate+ndeath);j++){
                   5737:             k=k+1;
                   5738:             gm[k]=pmmij[i][j];
                   5739:           }
                   5740:         }
1.220     brouard  5741:                                
1.222     brouard  5742:         for(i=1; i<= (nlstate)*(nlstate+ndeath); i++) 
                   5743:           gradg[theta][i]=(gp[i]-gm[i])/(double)2./delti[theta];  
                   5744:        }
1.126     brouard  5745: 
1.222     brouard  5746:        for(j=1; j<=(nlstate)*(nlstate+ndeath);j++)
                   5747:         for(theta=1; theta <=npar; theta++)
                   5748:           trgradg[j][theta]=gradg[theta][j];
1.220     brouard  5749:                        
1.222     brouard  5750:        matprod2(dnewm,trgradg,1,(nlstate)*(nlstate+ndeath),1,npar,1,npar,matcov); 
                   5751:        matprod2(doldm,dnewm,1,(nlstate)*(nlstate+ndeath),1,npar,1,(nlstate)*(nlstate+ndeath),gradg);
1.220     brouard  5752:                        
1.222     brouard  5753:        pmij(pmmij,cov,ncovmodel,x,nlstate);
1.220     brouard  5754:                        
1.222     brouard  5755:        k=0;
                   5756:        for(i=1; i<=(nlstate); i++){
                   5757:         for(j=1; j<=(nlstate+ndeath);j++){
                   5758:           k=k+1;
                   5759:           mu[k][(int) age]=pmmij[i][j];
                   5760:         }
                   5761:        }
                   5762:        for(i=1;i<=(nlstate)*(nlstate+ndeath);i++)
                   5763:         for(j=1;j<=(nlstate)*(nlstate+ndeath);j++)
                   5764:           varpij[i][j][(int)age] = doldm[i][j];
1.220     brouard  5765:                        
1.222     brouard  5766:        /*printf("\n%d ",(int)age);
                   5767:         for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){
                   5768:         printf("%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));
                   5769:         fprintf(ficlog,"%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));
                   5770:         }*/
1.220     brouard  5771:                        
1.222     brouard  5772:        fprintf(ficresprob,"\n%d ",(int)age);
                   5773:        fprintf(ficresprobcov,"\n%d ",(int)age);
                   5774:        fprintf(ficresprobcor,"\n%d ",(int)age);
1.220     brouard  5775:                        
1.222     brouard  5776:        for (i=1; i<=(nlstate)*(nlstate+ndeath);i++)
                   5777:         fprintf(ficresprob,"%11.3e (%11.3e) ",mu[i][(int) age],sqrt(varpij[i][i][(int)age]));
                   5778:        for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){
                   5779:         fprintf(ficresprobcov,"%11.3e ",mu[i][(int) age]);
                   5780:         fprintf(ficresprobcor,"%11.3e ",mu[i][(int) age]);
                   5781:        }
                   5782:        i=0;
                   5783:        for (k=1; k<=(nlstate);k++){
                   5784:         for (l=1; l<=(nlstate+ndeath);l++){ 
                   5785:           i++;
                   5786:           fprintf(ficresprobcov,"\n%d %d-%d",(int)age,k,l);
                   5787:           fprintf(ficresprobcor,"\n%d %d-%d",(int)age,k,l);
                   5788:           for (j=1; j<=i;j++){
                   5789:             /* printf(" k=%d l=%d i=%d j=%d\n",k,l,i,j);fflush(stdout); */
                   5790:             fprintf(ficresprobcov," %11.3e",varpij[i][j][(int)age]);
                   5791:             fprintf(ficresprobcor," %11.3e",varpij[i][j][(int) age]/sqrt(varpij[i][i][(int) age])/sqrt(varpij[j][j][(int)age]));
                   5792:           }
                   5793:         }
                   5794:        }/* end of loop for state */
                   5795:      } /* end of loop for age */
                   5796:      free_vector(gp,1,(nlstate+ndeath)*(nlstate+ndeath));
                   5797:      free_vector(gm,1,(nlstate+ndeath)*(nlstate+ndeath));
                   5798:      free_matrix(trgradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);
                   5799:      free_matrix(gradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);
                   5800:     
                   5801:      /* Confidence intervalle of pij  */
                   5802:      /*
                   5803:        fprintf(ficgp,"\nunset parametric;unset label");
                   5804:        fprintf(ficgp,"\nset log y;unset log x; set xlabel \"Age\";set ylabel \"probability (year-1)\"");
                   5805:        fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65");
                   5806:        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);
                   5807:        fprintf(fichtm,"\n<br><img src=\"pijgr%s.png\"> ",optionfilefiname);
                   5808:        fprintf(ficgp,"\nset out \"pijgr%s.png\"",optionfilefiname);
                   5809:        fprintf(ficgp,"\nplot \"%s\" every :::%d::%d u 1:2 \"\%%lf",k1,k2,xfilevarprob);
                   5810:      */
                   5811:                
                   5812:      /* Drawing ellipsoids of confidence of two variables p(k1-l1,k2-l2)*/
                   5813:      first1=1;first2=2;
                   5814:      for (k2=1; k2<=(nlstate);k2++){
                   5815:        for (l2=1; l2<=(nlstate+ndeath);l2++){ 
                   5816:         if(l2==k2) continue;
                   5817:         j=(k2-1)*(nlstate+ndeath)+l2;
                   5818:         for (k1=1; k1<=(nlstate);k1++){
                   5819:           for (l1=1; l1<=(nlstate+ndeath);l1++){ 
                   5820:             if(l1==k1) continue;
                   5821:             i=(k1-1)*(nlstate+ndeath)+l1;
                   5822:             if(i<=j) continue;
                   5823:             for (age=bage; age<=fage; age ++){ 
                   5824:               if ((int)age %5==0){
                   5825:                 v1=varpij[i][i][(int)age]/stepm*YEARM/stepm*YEARM;
                   5826:                 v2=varpij[j][j][(int)age]/stepm*YEARM/stepm*YEARM;
                   5827:                 cv12=varpij[i][j][(int)age]/stepm*YEARM/stepm*YEARM;
                   5828:                 mu1=mu[i][(int) age]/stepm*YEARM ;
                   5829:                 mu2=mu[j][(int) age]/stepm*YEARM;
                   5830:                 c12=cv12/sqrt(v1*v2);
                   5831:                 /* Computing eigen value of matrix of covariance */
                   5832:                 lc1=((v1+v2)+sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                   5833:                 lc2=((v1+v2)-sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                   5834:                 if ((lc2 <0) || (lc1 <0) ){
                   5835:                   if(first2==1){
                   5836:                     first1=0;
                   5837:                     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);
                   5838:                   }
                   5839:                   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);
                   5840:                   /* lc1=fabs(lc1); */ /* If we want to have them positive */
                   5841:                   /* lc2=fabs(lc2); */
                   5842:                 }
1.220     brouard  5843:                                                                
1.222     brouard  5844:                 /* Eigen vectors */
                   5845:                 v11=(1./sqrt(1+(v1-lc1)*(v1-lc1)/cv12/cv12));
                   5846:                 /*v21=sqrt(1.-v11*v11); *//* error */
                   5847:                 v21=(lc1-v1)/cv12*v11;
                   5848:                 v12=-v21;
                   5849:                 v22=v11;
                   5850:                 tnalp=v21/v11;
                   5851:                 if(first1==1){
                   5852:                   first1=0;
                   5853:                   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);
                   5854:                 }
                   5855:                 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);
                   5856:                 /*printf(fignu*/
                   5857:                 /* mu1+ v11*lc1*cost + v12*lc2*sin(t) */
                   5858:                 /* mu2+ v21*lc1*cost + v22*lc2*sin(t) */
                   5859:                 if(first==1){
                   5860:                   first=0;
                   5861:                   fprintf(ficgp,"\n# Ellipsoids of confidence\n#\n");
                   5862:                   fprintf(ficgp,"\nset parametric;unset label");
                   5863:                   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);
                   5864:                   fprintf(ficgp,"\nset ter svg size 640, 480");
                   5865:                   fprintf(fichtmcov,"\n<br>Ellipsoids of confidence cov(p%1d%1d,p%1d%1d) expressed in year<sup>-1</sup>\
1.220     brouard  5866:  :<a href=\"%s_%d%1d%1d-%1d%1d.svg\">                                                                                                                                          \
1.201     brouard  5867: %s_%d%1d%1d-%1d%1d.svg</A>, ",k1,l1,k2,l2,\
1.222     brouard  5868:                           subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2,      \
                   5869:                           subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
                   5870:                   fprintf(fichtmcov,"\n<br><img src=\"%s_%d%1d%1d-%1d%1d.svg\"> ",subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
                   5871:                   fprintf(fichtmcov,"\n<br> Correlation at age %d (%.3f),",(int) age, c12);
                   5872:                   fprintf(ficgp,"\nset out \"%s_%d%1d%1d-%1d%1d.svg\"",subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
                   5873:                   fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);
                   5874:                   fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);
                   5875:                   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",      \
                   5876:                           mu1,std,v11,sqrt(lc1),v12,sqrt(lc2),                                                                         \
                   5877:                           mu2,std,v21,sqrt(lc1),v22,sqrt(lc2));
                   5878:                 }else{
                   5879:                   first=0;
                   5880:                   fprintf(fichtmcov," %d (%.3f),",(int) age, c12);
                   5881:                   fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);
                   5882:                   fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);
                   5883:                   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", \
                   5884:                           mu1,std,v11,sqrt(lc1),v12,sqrt(lc2),                                 \
                   5885:                           mu2,std,v21,sqrt(lc1),v22,sqrt(lc2));
                   5886:                 }/* if first */
                   5887:               } /* age mod 5 */
                   5888:             } /* end loop age */
                   5889:             fprintf(ficgp,"\nset out;\nset out \"%s_%d%1d%1d-%1d%1d.svg\";replot;set out;",subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
                   5890:             first=1;
                   5891:           } /*l12 */
                   5892:         } /* k12 */
                   5893:        } /*l1 */
                   5894:      }/* k1 */
                   5895:    }  /* loop on combination of covariates j1 */
                   5896:    free_ma3x(varpij,1,nlstate,1,nlstate+ndeath,(int) bage, (int)fage);
                   5897:    free_matrix(mu,1,(nlstate+ndeath)*(nlstate+ndeath),(int) bage, (int)fage);
                   5898:    free_matrix(doldm,1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath));
                   5899:    free_matrix(dnewm,1,(nlstate)*(nlstate+ndeath),1,npar);
                   5900:    free_vector(xp,1,npar);
                   5901:    fclose(ficresprob);
                   5902:    fclose(ficresprobcov);
                   5903:    fclose(ficresprobcor);
                   5904:    fflush(ficgp);
                   5905:    fflush(fichtmcov);
                   5906:  }
1.126     brouard  5907: 
                   5908: 
                   5909: /******************* Printing html file ***********/
1.201     brouard  5910: void printinghtml(char fileresu[], char title[], char datafile[], int firstpass, \
1.126     brouard  5911:                  int lastpass, int stepm, int weightopt, char model[],\
                   5912:                  int imx,int jmin, int jmax, double jmeanint,char rfileres[],\
1.217     brouard  5913:                  int popforecast, int prevfcast, int backcast, int estepm , \
1.213     brouard  5914:                  double jprev1, double mprev1,double anprev1, double dateprev1, \
                   5915:                  double jprev2, double mprev2,double anprev2, double dateprev2){
1.126     brouard  5916:   int jj1, k1, i1, cpt;
                   5917: 
                   5918:    fprintf(fichtm,"<ul><li><a href='#firstorder'>Result files (first order: no variance)</a>\n \
                   5919:    <li><a href='#secondorder'>Result files (second order (variance)</a>\n \
                   5920: </ul>");
1.214     brouard  5921:    fprintf(fichtm,"<ul><li><h4><a name='firstorder'>Result files (first order: no variance)</a></h4>\n");
                   5922:    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",
                   5923:           jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,subdirfext3(optionfilefiname,"PHTMFR_",".htm"),subdirfext3(optionfilefiname,"PHTMFR_",".htm"));
                   5924:    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  5925:           jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,subdirfext3(optionfilefiname,"PHTM_",".htm"),subdirfext3(optionfilefiname,"PHTM_",".htm"));
                   5926:    fprintf(fichtm,",  <a href=\"%s\">%s</a> (text file) <br>\n",subdirf2(fileresu,"P_"),subdirf2(fileresu,"P_"));
1.126     brouard  5927:    fprintf(fichtm,"\
                   5928:  - Estimated transition probabilities over %d (stepm) months: <a href=\"%s\">%s</a><br>\n ",
1.201     brouard  5929:           stepm,subdirf2(fileresu,"PIJ_"),subdirf2(fileresu,"PIJ_"));
1.126     brouard  5930:    fprintf(fichtm,"\
1.217     brouard  5931:  - Estimated back transition probabilities over %d (stepm) months: <a href=\"%s\">%s</a><br>\n ",
                   5932:           stepm,subdirf2(fileresu,"PIJB_"),subdirf2(fileresu,"PIJB_"));
                   5933:    fprintf(fichtm,"\
1.126     brouard  5934:  - Period (stable) prevalence in each health state: <a href=\"%s\">%s</a> <br>\n",
1.201     brouard  5935:           subdirf2(fileresu,"PL_"),subdirf2(fileresu,"PL_"));
1.126     brouard  5936:    fprintf(fichtm,"\
1.217     brouard  5937:  - Period (stable) back prevalence in each health state: <a href=\"%s\">%s</a> <br>\n",
                   5938:           subdirf2(fileresu,"PLB_"),subdirf2(fileresu,"PLB_"));
                   5939:    fprintf(fichtm,"\
1.211     brouard  5940:  - (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  5941:    <a href=\"%s\">%s</a> <br>\n",
1.201     brouard  5942:           estepm,subdirf2(fileresu,"E_"),subdirf2(fileresu,"E_"));
1.211     brouard  5943:    if(prevfcast==1){
                   5944:      fprintf(fichtm,"\
                   5945:  - Prevalence projections by age and states:                           \
1.201     brouard  5946:    <a href=\"%s\">%s</a> <br>\n</li>", subdirf2(fileresu,"F_"),subdirf2(fileresu,"F_"));
1.211     brouard  5947:    }
1.126     brouard  5948: 
1.222     brouard  5949:    fprintf(fichtm," \n<ul><li><b>Graphs</b></li><p>");
1.126     brouard  5950: 
1.225     brouard  5951:    m=pow(2,cptcoveff);
1.222     brouard  5952:    if (cptcovn < 1) {m=1;ncodemax[1]=1;}
1.126     brouard  5953: 
1.222     brouard  5954:    jj1=0;
                   5955:    for(k1=1; k1<=m;k1++){
1.220     brouard  5956: 
1.222     brouard  5957:      /* for(i1=1; i1<=ncodemax[k1];i1++){ */
                   5958:      jj1++;
                   5959:      if (cptcovn > 0) {
                   5960:        fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");
1.225     brouard  5961:        for (cpt=1; cpt<=cptcoveff;cpt++){ 
1.222     brouard  5962:         fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]);
                   5963:         printf(" V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]);fflush(stdout);
                   5964:        }
1.230     brouard  5965:        /* if(nqfveff+nqtveff 0) */ /* Test to be done */
1.222     brouard  5966:        fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");
                   5967:        if(invalidvarcomb[k1]){
                   5968:         fprintf(fichtm,"\n<h3>Combination (%d) ignored because no cases </h3>\n",k1); 
                   5969:         printf("\nCombination (%d) ignored because no cases \n",k1); 
                   5970:         continue;
                   5971:        }
                   5972:      }
                   5973:      /* aij, bij */
                   5974:      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  5975: <img src=\"%s_%d-1.svg\">",model,subdirf2(optionfilefiname,"PE_"),jj1,subdirf2(optionfilefiname,"PE_"),jj1,subdirf2(optionfilefiname,"PE_"),jj1);
1.222     brouard  5976:      /* Pij */
                   5977:      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  5978: <img src=\"%s_%d-2.svg\">",stepm,subdirf2(optionfilefiname,"PE_"),jj1,subdirf2(optionfilefiname,"PE_"),jj1,subdirf2(optionfilefiname,"PE_"),jj1);     
1.222     brouard  5979:      /* Quasi-incidences */
                   5980:      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  5981:  before but expressed in per year i.e. quasi incidences if stepm is small and probabilities too, \
1.211     brouard  5982:  incidence (rates) are the limit when h tends to zero of the ratio of the probability  <sub>h</sub>P<sub>ij</sub> \
                   5983: 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  5984: <img src=\"%s_%d-3.svg\">",stepm,subdirf2(optionfilefiname,"PE_"),jj1,subdirf2(optionfilefiname,"PE_"),jj1,subdirf2(optionfilefiname,"PE_"),jj1); 
1.222     brouard  5985:      /* Survival functions (period) in state j */
                   5986:      for(cpt=1; cpt<=nlstate;cpt++){
                   5987:        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  5988: <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  5989:      }
                   5990:      /* State specific survival functions (period) */
                   5991:      for(cpt=1; cpt<=nlstate;cpt++){
                   5992:        fprintf(fichtm,"<br>\n- Survival functions from state %d in each live state and total.\
1.220     brouard  5993:  Or probability to survive in various states (1 to %d) being in state %d at different ages.    \
1.201     brouard  5994:  <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  5995:      }
                   5996:      /* Period (stable) prevalence in each health state */
                   5997:      for(cpt=1; cpt<=nlstate;cpt++){
                   5998:        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  5999: <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  6000:      }
                   6001:      if(backcast==1){
                   6002:        /* Period (stable) back prevalence in each health state */
                   6003:        for(cpt=1; cpt<=nlstate;cpt++){
                   6004:         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  6005: <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  6006:        }
1.217     brouard  6007:      }
1.222     brouard  6008:      if(prevfcast==1){
                   6009:        /* Projection of prevalence up to period (stable) prevalence in each health state */
                   6010:        for(cpt=1; cpt<=nlstate;cpt++){
                   6011:         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  6012: <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  6013:        }
                   6014:      }
1.220     brouard  6015:         
1.222     brouard  6016:      for(cpt=1; cpt<=nlstate;cpt++) {
                   6017:        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  6018: <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  6019:      }
                   6020:      /* } /\* end i1 *\/ */
                   6021:    }/* End k1 */
                   6022:    fprintf(fichtm,"</ul>");
1.126     brouard  6023: 
1.222     brouard  6024:    fprintf(fichtm,"\
1.126     brouard  6025: \n<br><li><h4> <a name='secondorder'>Result files (second order: variances)</a></h4>\n\
1.193     brouard  6026:  - Parameter file with estimated parameters and covariance matrix: <a href=\"%s\">%s</a> <br> \
1.203     brouard  6027:  - 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  6028: But because parameters are usually highly correlated (a higher incidence of disability \
                   6029: and a higher incidence of recovery can give very close observed transition) it might \
                   6030: be very useful to look not only at linear confidence intervals estimated from the \
                   6031: variances but at the covariance matrix. And instead of looking at the estimated coefficients \
                   6032: (parameters) of the logistic regression, it might be more meaningful to visualize the \
                   6033: covariance matrix of the one-step probabilities. \
                   6034: See page 'Matrix of variance-covariance of one-step probabilities' below. \n", rfileres,rfileres);
1.126     brouard  6035: 
1.222     brouard  6036:    fprintf(fichtm," - Standard deviation of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
                   6037:           subdirf2(fileresu,"PROB_"),subdirf2(fileresu,"PROB_"));
                   6038:    fprintf(fichtm,"\
1.126     brouard  6039:  - Variance-covariance of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
1.222     brouard  6040:           subdirf2(fileresu,"PROBCOV_"),subdirf2(fileresu,"PROBCOV_"));
1.126     brouard  6041: 
1.222     brouard  6042:    fprintf(fichtm,"\
1.126     brouard  6043:  - Correlation matrix of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
1.222     brouard  6044:           subdirf2(fileresu,"PROBCOR_"),subdirf2(fileresu,"PROBCOR_"));
                   6045:    fprintf(fichtm,"\
1.126     brouard  6046:  - 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): \
                   6047:    <a href=\"%s\">%s</a> <br>\n</li>",
1.201     brouard  6048:           estepm,subdirf2(fileresu,"CVE_"),subdirf2(fileresu,"CVE_"));
1.222     brouard  6049:    fprintf(fichtm,"\
1.126     brouard  6050:  - (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): \
                   6051:    <a href=\"%s\">%s</a> <br>\n</li>",
1.201     brouard  6052:           estepm,subdirf2(fileresu,"STDE_"),subdirf2(fileresu,"STDE_"));
1.222     brouard  6053:    fprintf(fichtm,"\
1.128     brouard  6054:  - 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  6055:           estepm, subdirf2(fileresu,"V_"),subdirf2(fileresu,"V_"));
                   6056:    fprintf(fichtm,"\
1.128     brouard  6057:  - 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  6058:           estepm, subdirf2(fileresu,"T_"),subdirf2(fileresu,"T_"));
                   6059:    fprintf(fichtm,"\
1.126     brouard  6060:  - Standard deviation of period (stable) prevalences: <a href=\"%s\">%s</a> <br>\n",\
1.222     brouard  6061:           subdirf2(fileresu,"VPL_"),subdirf2(fileresu,"VPL_"));
1.126     brouard  6062: 
                   6063: /*  if(popforecast==1) fprintf(fichtm,"\n */
                   6064: /*  - Prevalences forecasting: <a href=\"f%s\">f%s</a> <br>\n */
                   6065: /*  - Population forecasting (if popforecast=1): <a href=\"pop%s\">pop%s</a> <br>\n */
                   6066: /*     <br>",fileres,fileres,fileres,fileres); */
                   6067: /*  else  */
                   6068: /*    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  6069:    fflush(fichtm);
                   6070:    fprintf(fichtm," <ul><li><b>Graphs</b></li><p>");
1.126     brouard  6071: 
1.225     brouard  6072:    m=pow(2,cptcoveff);
1.222     brouard  6073:    if (cptcovn < 1) {m=1;ncodemax[1]=1;}
1.126     brouard  6074: 
1.222     brouard  6075:    jj1=0;
                   6076:    for(k1=1; k1<=m;k1++){
                   6077:      /* for(i1=1; i1<=ncodemax[k1];i1++){ */
                   6078:      jj1++;
1.126     brouard  6079:      if (cptcovn > 0) {
                   6080:        fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");
1.225     brouard  6081:        for (cpt=1; cpt<=cptcoveff;cpt++)  /**< cptcoveff number of variables */
1.222     brouard  6082:         fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]);
1.126     brouard  6083:        fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");
1.220     brouard  6084: 
1.222     brouard  6085:        if(invalidvarcomb[k1]){
                   6086:         fprintf(fichtm,"\n<h4>Combination (%d) ignored because no cases </h4>\n",k1); 
                   6087:         continue;
                   6088:        }
1.126     brouard  6089:      }
                   6090:      for(cpt=1; cpt<=nlstate;cpt++) {
1.218     brouard  6091:        fprintf(fichtm,"\n<br>- Observed (cross-sectional) and period (incidence based) \
                   6092: prevalence (with 95%% confidence interval) in state (%d): <a href=\"%s_%d-%d.svg\"> %s_%d-%d.svg</a>\n <br>\
1.205     brouard  6093: <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  6094:      }
                   6095:      fprintf(fichtm,"\n<br>- Total life expectancy by age and \
1.128     brouard  6096: health expectancies in states (1) and (2). If popbased=1 the smooth (due to the model) \
                   6097: true period expectancies (those weighted with period prevalences are also\
                   6098:  drawn in addition to the population based expectancies computed using\
1.218     brouard  6099:  observed and cahotic prevalences:  <a href=\"%s_%d.svg\">%s_%d.svg</a>\n<br>\
1.205     brouard  6100: <img src=\"%s_%d.svg\">",subdirf2(optionfilefiname,"E_"),jj1,subdirf2(optionfilefiname,"E_"),jj1,subdirf2(optionfilefiname,"E_"),jj1);
1.222     brouard  6101:      /* } /\* end i1 *\/ */
                   6102:    }/* End k1 */
                   6103:    fprintf(fichtm,"</ul>");
                   6104:    fflush(fichtm);
1.126     brouard  6105: }
                   6106: 
                   6107: /******************* Gnuplot file **************/
1.223     brouard  6108: void printinggnuplot(char fileresu[], char optionfilefiname[], double ageminpar, double agemaxpar, double fage , int prevfcast, int backcast, char pathc[], double p[]){
1.126     brouard  6109: 
                   6110:   char dirfileres[132],optfileres[132];
1.223     brouard  6111:   char gplotcondition[132];
1.164     brouard  6112:   int cpt=0,k1=0,i=0,k=0,j=0,jk=0,k2=0,k3=0,ij=0,l=0;
1.211     brouard  6113:   int lv=0, vlv=0, kl=0;
1.130     brouard  6114:   int ng=0;
1.201     brouard  6115:   int vpopbased;
1.223     brouard  6116:   int ioffset; /* variable offset for columns */
1.219     brouard  6117: 
1.126     brouard  6118: /*   if((ficgp=fopen(optionfilegnuplot,"a"))==NULL) { */
                   6119: /*     printf("Problem with file %s",optionfilegnuplot); */
                   6120: /*     fprintf(ficlog,"Problem with file %s",optionfilegnuplot); */
                   6121: /*   } */
                   6122: 
                   6123:   /*#ifdef windows */
                   6124:   fprintf(ficgp,"cd \"%s\" \n",pathc);
1.223     brouard  6125:   /*#endif */
1.225     brouard  6126:   m=pow(2,cptcoveff);
1.126     brouard  6127: 
1.202     brouard  6128:   /* Contribution to likelihood */
                   6129:   /* Plot the probability implied in the likelihood */
1.223     brouard  6130:   fprintf(ficgp,"\n# Contributions to the Likelihood, mle >=1. For mle=4 no interpolation, pure matrix products.\n#\n");
                   6131:   fprintf(ficgp,"\n set log y; unset log x;set xlabel \"Age\"; set ylabel \"Likelihood (-2Log(L))\";");
                   6132:   /* fprintf(ficgp,"\nset ter svg size 640, 480"); */ /* Too big for svg */
                   6133:   fprintf(ficgp,"\nset ter pngcairo size 640, 480");
1.204     brouard  6134: /* nice for mle=4 plot by number of matrix products.
1.202     brouard  6135:    replot  "rrtest1/toto.txt" u 2:($4 == 1 && $5==2 ? $9 : 1/0):5 t "p12" with point lc 1 */
                   6136: /* replot exp(p1+p2*x)/(1+exp(p1+p2*x)+exp(p3+p4*x)+exp(p5+p6*x)) t "p12(x)"  */
1.223     brouard  6137:   /* fprintf(ficgp,"\nset out \"%s.svg\";",subdirf2(optionfilefiname,"ILK_")); */
                   6138:   fprintf(ficgp,"\nset out \"%s-dest.png\";",subdirf2(optionfilefiname,"ILK_"));
                   6139:   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));
                   6140:   fprintf(ficgp,"\nset out \"%s-ori.png\";",subdirf2(optionfilefiname,"ILK_"));
                   6141:   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));
                   6142:   for (i=1; i<= nlstate ; i ++) {
                   6143:     fprintf(ficgp,"\nset out \"%s-p%dj.png\";set ylabel \"Probability for each individual/wave\";",subdirf2(optionfilefiname,"ILK_"),i);
                   6144:     fprintf(ficgp,"unset log;\n# plot weighted, mean weight should have point size of 0.5\n plot  \"%s\"",subdirf(fileresilk));
                   6145:     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);
                   6146:     for (j=2; j<= nlstate+ndeath ; j ++) {
                   6147:       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);
                   6148:     }
                   6149:     fprintf(ficgp,";\nset out; unset ylabel;\n"); 
                   6150:   }
                   6151:   /* 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 */               
                   6152:   /* fprintf(ficgp,"\nset log y;plot  \"%s\" u 2:(-$11):3 t \"All sample, all transitions\" with dots lc variable",subdirf(fileresilk)); */
                   6153:   /* fprintf(ficgp,"\nreplot  \"%s\" u 2:($3 <= 3 ? -$11 : 1/0):3 t \"First 3 individuals\" with line lc variable", subdirf(fileresilk)); */
                   6154:   fprintf(ficgp,"\nset out;unset log\n");
                   6155:   /* fprintf(ficgp,"\nset out \"%s.svg\"; replot; set out; # bug gnuplot",subdirf2(optionfilefiname,"ILK_")); */
1.202     brouard  6156: 
1.126     brouard  6157:   strcpy(dirfileres,optionfilefiname);
                   6158:   strcpy(optfileres,"vpl");
1.223     brouard  6159:   /* 1eme*/
1.211     brouard  6160:   for (cpt=1; cpt<= nlstate ; cpt ++) { /* For each live state */
1.230     brouard  6161:     for (k1=1; k1<= m && selected(k1) ; k1 ++) { /* For each valid combination of covariate */
1.211     brouard  6162:       /* plot [100000000000000000000:-100000000000000000000] "mysbiaspar/vplrmysbiaspar.txt to check */
                   6163:       fprintf(ficgp,"\n# 1st: Period (stable) prevalence with CI: 'VPL_' files ");
1.225     brouard  6164:       for (k=1; k<=cptcoveff; k++){    /* For each covariate k get corresponding value lv for combination k1 */
                   6165:        lv= decodtabm(k1,k,cptcoveff); /* Should be the value of the covariate corresponding to k1 combination */
1.223     brouard  6166:        /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   6167:        /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   6168:        /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   6169:        vlv= nbcode[Tvaraff[k]][lv]; /* vlv is the value of the covariate lv, 0 or 1 */
                   6170:        /* For each combination of covariate k1 (V1=1, V3=0), we printed the current covariate k and its value vlv */
                   6171:        fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.211     brouard  6172:       }
                   6173:       fprintf(ficgp,"\n#\n");
1.223     brouard  6174:       if(invalidvarcomb[k1]){
                   6175:        fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   6176:        continue;
                   6177:       }
1.211     brouard  6178: 
1.223     brouard  6179:       fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" \n",subdirf2(optionfilefiname,"V_"),cpt,k1);
                   6180:       fprintf(ficgp,"\n#set out \"V_%s_%d-%d.svg\" \n",optionfilefiname,cpt,k1);
                   6181:       fprintf(ficgp,"set xlabel \"Age\" \n\
1.219     brouard  6182: set ylabel \"Probability\" \n  \
                   6183: set ter svg size 640, 480\n    \
1.201     brouard  6184: plot [%.f:%.f] \"%s\" every :::%d::%d u 1:2 \"%%lf",ageminpar,fage,subdirf2(fileresu,"VPL_"),k1-1,k1-1);
1.219     brouard  6185:                        
1.223     brouard  6186:       for (i=1; i<= nlstate ; i ++) {
                   6187:        if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   6188:        else        fprintf(ficgp," %%*lf (%%*lf)");
                   6189:       }
                   6190:       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);
                   6191:       for (i=1; i<= nlstate ; i ++) {
                   6192:        if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   6193:        else fprintf(ficgp," %%*lf (%%*lf)");
                   6194:       } 
                   6195:       fprintf(ficgp,"\" t\"95%% CI\" w l lt 1,\"%s\" every :::%d::%d u 1:($2-1.96*$3) \"%%lf",subdirf2(fileresu,"VPL_"),k1-1,k1-1); 
                   6196:       for (i=1; i<= nlstate ; i ++) {
                   6197:        if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   6198:        else fprintf(ficgp," %%*lf (%%*lf)");
                   6199:       }  
                   6200:       fprintf(ficgp,"\" t\"\" w l lt 1,\"%s\" every :::%d::%d u 1:($%d) t\"Observed prevalence\" w l lt 2",subdirf2(fileresu,"P_"),k1-1,k1-1,2+4*(cpt-1));
                   6201:       if(backcast==1){ /* We need to get the corresponding values of the covariates involved in this combination k1 */
                   6202:        /* fprintf(ficgp,",\"%s\" every :::%d::%d u 1:($%d) t\"Backward stable prevalence\" w l lt 3",subdirf2(fileresu,"PLB_"),k1-1,k1-1,1+cpt); */
                   6203:        fprintf(ficgp,",\"%s\" u 1:((",subdirf2(fileresu,"PLB_")); /* Age is in 1 */
1.225     brouard  6204:        if(cptcoveff ==0){
1.223     brouard  6205:          fprintf(ficgp,"$%d)) t 'Backward prevalence in state %d' with line ",  2+(cpt-1),  cpt );
                   6206:        }else{
                   6207:          kl=0;
1.225     brouard  6208:          for (k=1; k<=cptcoveff; k++){    /* For each combination of covariate  */
                   6209:            lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to k1 combination and kth covariate */
1.223     brouard  6210:            /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   6211:            /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   6212:            /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   6213:            vlv= nbcode[Tvaraff[k]][lv];
                   6214:            kl++;
                   6215:            /* 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 *\/ */
                   6216:            /*6+(cpt-1)*(nlstate+1)+1+(i-1)+(nlstate+1)*nlstate; 6+(1-1)*(2+1)+1+(1-1) +(2+1)*2=13 */ 
                   6217:            /*6+1+(i-1)+(nlstate+1)*nlstate; 6+1+(1-1) +(2+1)*2=13 */ 
                   6218:            /* ''  u 6:(($1==1 && $2==0 && $3==2 && $4==0)? $9/(1.-$15) : 1/0):($5==2000? 3:2) t 'p.1' with line lc variable*/
1.225     brouard  6219:            if(k==cptcoveff){
1.227     brouard  6220:              fprintf(ficgp,"$%d==%d && $%d==%d)? $%d : 1/0) t 'Backward prevalence in state %d' ",kl+1, Tvaraff[k],kl+1+1,nbcode[Tvaraff[k]][lv], \
                   6221:                      4+(cpt-1),  cpt );  /* 4 or 6 ?*/
1.223     brouard  6222:            }else{
                   6223:              fprintf(ficgp,"$%d==%d && $%d==%d && ",kl+1, Tvaraff[k],kl+1+1,nbcode[Tvaraff[k]][lv]);
                   6224:              kl++;
                   6225:            }
                   6226:          } /* end covariate */
                   6227:        } /* end if no covariate */
                   6228:       } /* end if backcast */
                   6229:       fprintf(ficgp,"\nset out \n");
1.201     brouard  6230:     } /* k1 */
                   6231:   } /* cpt */
1.126     brouard  6232:   /*2 eme*/
                   6233:   for (k1=1; k1<= m ; k1 ++) { 
1.220     brouard  6234: 
1.223     brouard  6235:     fprintf(ficgp,"\n# 2nd: Total life expectancy with CI: 't' files ");
1.225     brouard  6236:     for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
                   6237:       lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
1.223     brouard  6238:       /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   6239:       /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   6240:       /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   6241:       vlv= nbcode[Tvaraff[k]][lv];
                   6242:       fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
                   6243:     }
                   6244:     fprintf(ficgp,"\n#\n");
                   6245:     if(invalidvarcomb[k1]){
                   6246:       fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   6247:       continue;
                   6248:     }
1.219     brouard  6249:                        
1.223     brouard  6250:     fprintf(ficgp,"\nset out \"%s_%d.svg\" \n",subdirf2(optionfilefiname,"E_"),k1);
                   6251:     for(vpopbased=0; vpopbased <= popbased; vpopbased++){ /* Done for vpopbased=0 and vpopbased=1 if popbased==1*/
                   6252:       if(vpopbased==0)
                   6253:        fprintf(ficgp,"set ylabel \"Years\" \nset ter svg size 640, 480\nplot [%.f:%.f] ",ageminpar,fage);
                   6254:       else
                   6255:        fprintf(ficgp,"\nreplot ");
                   6256:       for (i=1; i<= nlstate+1 ; i ++) {
                   6257:        k=2*i;
                   6258:        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);
                   6259:        for (j=1; j<= nlstate+1 ; j ++) {
                   6260:          if (j==i) fprintf(ficgp," %%lf (%%lf)");
                   6261:          else fprintf(ficgp," %%*lf (%%*lf)");
                   6262:        }   
                   6263:        if (i== 1) fprintf(ficgp,"\" t\"TLE\" w l lt %d, \\\n",i);
                   6264:        else fprintf(ficgp,"\" t\"LE in state (%d)\" w l lt %d, \\\n",i-1,i+1);
                   6265:        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);
                   6266:        for (j=1; j<= nlstate+1 ; j ++) {
                   6267:          if (j==i) fprintf(ficgp," %%lf (%%lf)");
                   6268:          else fprintf(ficgp," %%*lf (%%*lf)");
                   6269:        }   
                   6270:        fprintf(ficgp,"\" t\"\" w l lt 0,");
                   6271:        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);
                   6272:        for (j=1; j<= nlstate+1 ; j ++) {
                   6273:          if (j==i) fprintf(ficgp," %%lf (%%lf)");
                   6274:          else fprintf(ficgp," %%*lf (%%*lf)");
                   6275:        }   
                   6276:        if (i== (nlstate+1)) fprintf(ficgp,"\" t\"\" w l lt 0");
                   6277:        else fprintf(ficgp,"\" t\"\" w l lt 0,\\\n");
                   6278:       } /* state */
                   6279:     } /* vpopbased */
                   6280:     fprintf(ficgp,"\nset out;set out \"%s_%d.svg\"; replot; set out; \n",subdirf2(optionfilefiname,"E_"),k1); /* Buggy gnuplot */
1.201     brouard  6281:   } /* k1 */
1.219     brouard  6282:        
                   6283:        
1.126     brouard  6284:   /*3eme*/
                   6285:   for (k1=1; k1<= m ; k1 ++) { 
1.220     brouard  6286: 
1.126     brouard  6287:     for (cpt=1; cpt<= nlstate ; cpt ++) {
1.211     brouard  6288:       fprintf(ficgp,"\n# 3d: Life expectancy with EXP_ files:  cov=%d state=%d",k1, cpt);
1.225     brouard  6289:       for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
                   6290:        lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
1.223     brouard  6291:        /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   6292:        /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   6293:        /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   6294:        vlv= nbcode[Tvaraff[k]][lv];
                   6295:        fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.211     brouard  6296:       }
                   6297:       fprintf(ficgp,"\n#\n");
1.223     brouard  6298:       if(invalidvarcomb[k1]){
                   6299:        fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   6300:        continue;
                   6301:       }
1.219     brouard  6302:                        
1.126     brouard  6303:       /*       k=2+nlstate*(2*cpt-2); */
                   6304:       k=2+(nlstate+1)*(cpt-1);
1.201     brouard  6305:       fprintf(ficgp,"\nset out \"%s_%d%d.svg\" \n",subdirf2(optionfilefiname,"EXP_"),cpt,k1);
1.199     brouard  6306:       fprintf(ficgp,"set ter svg size 640, 480\n\
1.201     brouard  6307: 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  6308:       /*fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d-2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);
1.223     brouard  6309:        for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");
                   6310:        fprintf(ficgp,"\" t \"e%d1\" w l",cpt);
                   6311:        fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d+2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);
                   6312:        for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");
                   6313:        fprintf(ficgp,"\" t \"e%d1\" w l",cpt);
1.219     brouard  6314:                                
1.126     brouard  6315:       */
                   6316:       for (i=1; i< nlstate ; i ++) {
1.223     brouard  6317:        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);
                   6318:        /*      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  6319:                                
1.126     brouard  6320:       } 
1.201     brouard  6321:       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  6322:     }
                   6323:   }
                   6324:   
1.223     brouard  6325:   /* 4eme */
1.201     brouard  6326:   /* Survival functions (period) from state i in state j by initial state i */
                   6327:   for (k1=1; k1<= m ; k1 ++) { /* For each multivariate if any */
1.220     brouard  6328: 
1.201     brouard  6329:     for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state */
1.211     brouard  6330:       fprintf(ficgp,"\n#\n#\n# Survival functions in state j : 'LIJ_' files, cov=%d state=%d",k1, cpt);
1.225     brouard  6331:       for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
                   6332:        lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
1.223     brouard  6333:        /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   6334:        /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   6335:        /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   6336:        vlv= nbcode[Tvaraff[k]][lv];
                   6337:        fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.211     brouard  6338:       }
                   6339:       fprintf(ficgp,"\n#\n");
1.223     brouard  6340:       if(invalidvarcomb[k1]){
                   6341:        fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   6342:        continue;
                   6343:       }
1.220     brouard  6344:                        
1.201     brouard  6345:       fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" \n",subdirf2(optionfilefiname,"LIJ_"),cpt,k1);
                   6346:       fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability to be alive\" \n\
1.220     brouard  6347: set ter svg size 640, 480\n                                                                                                                                                                                    \
                   6348: unset log y\n                                                                                                                                                                                                                                          \
1.201     brouard  6349: plot [%.f:%.f]  ", ageminpar, agemaxpar);
1.211     brouard  6350:       k=3;
1.201     brouard  6351:       for (i=1; i<= nlstate ; i ++){
1.223     brouard  6352:        if(i==1){
                   6353:          fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJ_"));
                   6354:        }else{
                   6355:          fprintf(ficgp,", '' ");
                   6356:        }
                   6357:        l=(nlstate+ndeath)*(i-1)+1;
                   6358:        fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l);
                   6359:        for (j=2; j<= nlstate+ndeath ; j ++)
                   6360:          fprintf(ficgp,"+$%d",k+l+j-1);
                   6361:        fprintf(ficgp,")) t \"l(%d,%d)\" w l",i,cpt);
1.201     brouard  6362:       } /* nlstate */
                   6363:       fprintf(ficgp,"\nset out\n");
                   6364:     } /* end cpt state*/ 
                   6365:   } /* end covariate */  
1.220     brouard  6366:        
                   6367: /* 5eme */
1.201     brouard  6368:   /* Survival functions (period) from state i in state j by final state j */
1.202     brouard  6369:   for (k1=1; k1<= m ; k1 ++) { /* For each covariate if any */
1.201     brouard  6370:     for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each inital state  */
1.223     brouard  6371:                        
1.201     brouard  6372:       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  6373:       for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
1.227     brouard  6374:        lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
                   6375:        /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   6376:        /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   6377:        /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   6378:        vlv= nbcode[Tvaraff[k]][lv];
                   6379:        fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.211     brouard  6380:       }
                   6381:       fprintf(ficgp,"\n#\n");
1.223     brouard  6382:       if(invalidvarcomb[k1]){
1.227     brouard  6383:        fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   6384:        continue;
1.223     brouard  6385:       }
1.227     brouard  6386:       
1.201     brouard  6387:       fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" \n",subdirf2(optionfilefiname,"LIJT_"),cpt,k1);
                   6388:       fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability to be alive\" \n\
1.227     brouard  6389: set ter svg size 640, 480\n                                            \
                   6390: unset log y\n                                                          \
1.201     brouard  6391: plot [%.f:%.f]  ", ageminpar, agemaxpar);
1.211     brouard  6392:       k=3;
1.201     brouard  6393:       for (j=1; j<= nlstate ; j ++){ /* Lived in state j */
1.227     brouard  6394:        if(j==1)
                   6395:          fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJ_"));
                   6396:        else
                   6397:          fprintf(ficgp,", '' ");
                   6398:        l=(nlstate+ndeath)*(cpt-1) +j;
                   6399:        fprintf(ficgp," u (($1==%d && (floor($2)%%5 == 0)) ? ($3):1/0):($%d",k1,k+l);
                   6400:        /* for (i=2; i<= nlstate+ndeath ; i ++) */
                   6401:        /*   fprintf(ficgp,"+$%d",k+l+i-1); */
                   6402:        fprintf(ficgp,") t \"l(%d,%d)\" w l",cpt,j);
1.201     brouard  6403:       } /* nlstate */
                   6404:       fprintf(ficgp,", '' ");
                   6405:       fprintf(ficgp," u (($1==%d && (floor($2)%%5 == 0)) ? ($3):1/0):(",k1);
                   6406:       for (j=1; j<= nlstate ; j ++){ /* Lived in state j */
1.227     brouard  6407:        l=(nlstate+ndeath)*(cpt-1) +j;
                   6408:        if(j < nlstate)
                   6409:          fprintf(ficgp,"$%d +",k+l);
                   6410:        else
                   6411:          fprintf(ficgp,"$%d) t\"l(%d,.)\" w l",k+l,cpt);
1.201     brouard  6412:       }
                   6413:       fprintf(ficgp,"\nset out\n");
                   6414:     } /* end cpt state*/ 
                   6415:   } /* end covariate */  
1.227     brouard  6416:   
1.220     brouard  6417: /* 6eme */
1.202     brouard  6418:   /* CV preval stable (period) for each covariate */
1.211     brouard  6419:   for (k1=1; k1<= m ; k1 ++) { /* For each covariate combination (1 to m=2**k), if any covariate is present */
1.153     brouard  6420:     for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state */
1.227     brouard  6421:       
1.211     brouard  6422:       fprintf(ficgp,"\n#\n#\n#CV preval stable (period): 'pij' files, covariatecombination#=%d state=%d",k1, cpt);
1.225     brouard  6423:       for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
1.227     brouard  6424:        lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
                   6425:        /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   6426:        /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   6427:        /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   6428:        vlv= nbcode[Tvaraff[k]][lv];
                   6429:        fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.211     brouard  6430:       }
                   6431:       fprintf(ficgp,"\n#\n");
1.223     brouard  6432:       if(invalidvarcomb[k1]){
1.227     brouard  6433:        fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   6434:        continue;
1.223     brouard  6435:       }
1.227     brouard  6436:       
1.201     brouard  6437:       fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" \n",subdirf2(optionfilefiname,"P_"),cpt,k1);
1.126     brouard  6438:       fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \n\
1.227     brouard  6439: set ter svg size 640, 480\n                                            \
                   6440: unset log y\n                                                          \
1.153     brouard  6441: plot [%.f:%.f]  ", ageminpar, agemaxpar);
1.211     brouard  6442:       k=3; /* Offset */
1.153     brouard  6443:       for (i=1; i<= nlstate ; i ++){
1.227     brouard  6444:        if(i==1)
                   6445:          fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJ_"));
                   6446:        else
                   6447:          fprintf(ficgp,", '' ");
                   6448:        l=(nlstate+ndeath)*(i-1)+1;
                   6449:        fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l);
                   6450:        for (j=2; j<= nlstate ; j ++)
                   6451:          fprintf(ficgp,"+$%d",k+l+j-1);
                   6452:        fprintf(ficgp,")) t \"prev(%d,%d)\" w l",i,cpt);
1.153     brouard  6453:       } /* nlstate */
1.201     brouard  6454:       fprintf(ficgp,"\nset out\n");
1.153     brouard  6455:     } /* end cpt state*/ 
                   6456:   } /* end covariate */  
1.227     brouard  6457:   
                   6458:   
1.220     brouard  6459: /* 7eme */
1.218     brouard  6460:   if(backcast == 1){
1.217     brouard  6461:     /* CV back preval stable (period) for each covariate */
1.218     brouard  6462:     for (k1=1; k1<= m ; k1 ++) { /* For each covariate combination (1 to m=2**k), if any covariate is present */
                   6463:       for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state */
1.227     brouard  6464:        fprintf(ficgp,"\n#\n#\n#CV Back preval stable (period): 'pij' files, covariatecombination#=%d state=%d",k1, cpt);
                   6465:        for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
                   6466:          lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
                   6467:          /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   6468:          /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
1.223     brouard  6469:          /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
1.227     brouard  6470:          vlv= nbcode[Tvaraff[k]][lv];
                   6471:          fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
                   6472:        }
                   6473:        fprintf(ficgp,"\n#\n");
                   6474:        if(invalidvarcomb[k1]){
                   6475:          fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   6476:          continue;
                   6477:        }
                   6478:        
                   6479:        fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" \n",subdirf2(optionfilefiname,"PB_"),cpt,k1);
                   6480:        fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \n\
                   6481: set ter svg size 640, 480\n                                            \
                   6482: unset log y\n                                                          \
1.218     brouard  6483: plot [%.f:%.f]  ", ageminpar, agemaxpar);
1.227     brouard  6484:        k=3; /* Offset */
                   6485:        for (i=1; i<= nlstate ; i ++){
                   6486:          if(i==1)
                   6487:            fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJB_"));
                   6488:          else
                   6489:            fprintf(ficgp,", '' ");
                   6490:          /* l=(nlstate+ndeath)*(i-1)+1; */
                   6491:          l=(nlstate+ndeath)*(cpt-1)+1;
                   6492:          /* fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l); /\* a vérifier *\/ */
                   6493:          /* fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l+(cpt-1)+i-1); /\* a vérifier *\/ */
                   6494:          fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d",k1,k+l+(cpt-1)+i-1); /* a vérifier */
                   6495:          /* for (j=2; j<= nlstate ; j ++) */
                   6496:          /*    fprintf(ficgp,"+$%d",k+l+j-1); */
                   6497:          /*    /\* fprintf(ficgp,"+$%d",k+l+j-1); *\/ */
                   6498:          fprintf(ficgp,") t \"bprev(%d,%d)\" w l",i,cpt);
                   6499:        } /* nlstate */
                   6500:        fprintf(ficgp,"\nset out\n");
1.218     brouard  6501:       } /* end cpt state*/ 
                   6502:     } /* end covariate */  
                   6503:   } /* End if backcast */
                   6504:   
1.223     brouard  6505:   /* 8eme */
1.218     brouard  6506:   if(prevfcast==1){
                   6507:     /* Projection from cross-sectional to stable (period) for each covariate */
                   6508:     
                   6509:     for (k1=1; k1<= m ; k1 ++) { /* For each covariate combination (1 to m=2**k), if any covariate is present */
1.211     brouard  6510:       for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state */
1.227     brouard  6511:        fprintf(ficgp,"\n#\n#\n#Projection of prevalence to stable (period): 'PROJ_' files, covariatecombination#=%d state=%d",k1, cpt);
                   6512:        for (k=1; k<=cptcoveff; k++){    /* For each correspondig covariate value  */
                   6513:          lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to k1 combination and kth covariate */
                   6514:          /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   6515:          /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   6516:          /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   6517:          vlv= nbcode[Tvaraff[k]][lv];
                   6518:          fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
                   6519:        }
                   6520:        fprintf(ficgp,"\n#\n");
                   6521:        if(invalidvarcomb[k1]){
                   6522:          fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   6523:          continue;
                   6524:        }
                   6525:        
                   6526:        fprintf(ficgp,"# hpijx=probability over h years, hp.jx is weighted by observed prev\n ");
                   6527:        fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" \n",subdirf2(optionfilefiname,"PROJ_"),cpt,k1);
                   6528:        fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Prevalence\" \n\
                   6529: set ter svg size 640, 480\n                                            \
                   6530: unset log y\n                                                          \
1.219     brouard  6531: plot [%.f:%.f]  ", ageminpar, agemaxpar);
1.227     brouard  6532:        for (i=1; i<= nlstate+1 ; i ++){  /* nlstate +1 p11 p21 p.1 */
                   6533:          /*#  V1  = 1  V2 =  0 yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
                   6534:          /*#   1    2   3    4    5      6  7   8   9   10   11 12  13   14  15 */   
                   6535:          /*# yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
                   6536:          /*#   1       2   3    4    5      6  7   8   9   10   11 12  13   14  15 */   
                   6537:          if(i==1){
                   6538:            fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"F_"));
                   6539:          }else{
                   6540:            fprintf(ficgp,",\\\n '' ");
                   6541:          }
                   6542:          if(cptcoveff ==0){ /* No covariate */
                   6543:            ioffset=2; /* Age is in 2 */
                   6544:            /*# yearproj age p11 p21 p31 p.1 p12 p22 p32 p.2 p13 p23 p33 p.3 p14 p24 p34 p.4*/
                   6545:            /*#   1       2   3   4   5  6    7  8   9   10  11  12  13  14  15  16  17  18 */
                   6546:            /*# V1  = 1 yearproj age p11 p21 p31 p.1 p12 p22 p32 p.2 p13 p23 p33 p.3 p14 p24 p34 p.4*/
                   6547:            /*#  1    2        3   4   5  6    7  8   9   10  11  12  13  14  15  16  17  18 */
                   6548:            fprintf(ficgp," u %d:(", ioffset); 
                   6549:            if(i==nlstate+1)
                   6550:              fprintf(ficgp," $%d/(1.-$%d)) t 'pw.%d' with line ",      \
                   6551:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate,cpt );
                   6552:            else
                   6553:              fprintf(ficgp," $%d/(1.-$%d)) t 'p%d%d' with line ",      \
                   6554:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate,i,cpt );
                   6555:          }else{ /* more than 2 covariates */
                   6556:            if(cptcoveff ==1){
                   6557:              ioffset=4; /* Age is in 4 */
                   6558:            }else{
                   6559:              ioffset=6; /* Age is in 6 */
                   6560:              /*#  V1  = 1  V2 =  0 yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
                   6561:              /*#   1    2   3    4    5      6  7   8   9   10   11 12  13   14  15 */
                   6562:            }   
                   6563:            fprintf(ficgp," u %d:(",ioffset); 
                   6564:            kl=0;
                   6565:            strcpy(gplotcondition,"(");
                   6566:            for (k=1; k<=cptcoveff; k++){    /* For each covariate writing the chain of conditions */
                   6567:              lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to combination k1 and covariate k */
                   6568:              /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   6569:              /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   6570:              /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   6571:              vlv= nbcode[Tvaraff[k]][lv]; /* Value of the modality of Tvaraff[k] */
                   6572:              kl++;
                   6573:              sprintf(gplotcondition+strlen(gplotcondition),"$%d==%d && $%d==%d " ,kl,Tvaraff[k], kl+1, nbcode[Tvaraff[k]][lv]);
                   6574:              kl++;
                   6575:              if(k <cptcoveff && cptcoveff>1)
                   6576:                sprintf(gplotcondition+strlen(gplotcondition)," && ");
                   6577:            }
                   6578:            strcpy(gplotcondition+strlen(gplotcondition),")");
                   6579:            /* 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 *\/ */
                   6580:            /*6+(cpt-1)*(nlstate+1)+1+(i-1)+(nlstate+1)*nlstate; 6+(1-1)*(2+1)+1+(1-1) +(2+1)*2=13 */ 
                   6581:            /*6+1+(i-1)+(nlstate+1)*nlstate; 6+1+(1-1) +(2+1)*2=13 */ 
                   6582:            /* ''  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*/
                   6583:            if(i==nlstate+1){
                   6584:              fprintf(ficgp,"%s ? $%d/(1.-$%d) : 1/0) t 'p.%d' with line ", gplotcondition, \
                   6585:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate,cpt );
                   6586:            }else{
                   6587:              fprintf(ficgp,"%s ? $%d/(1.-$%d) : 1/0) t 'p%d%d' with line ", gplotcondition, \
                   6588:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1), ioffset +1+(i-1)+(nlstate+1)*nlstate,i,cpt );
                   6589:            }
                   6590:          } /* end if covariate */
                   6591:        } /* nlstate */
                   6592:        fprintf(ficgp,"\nset out\n");
1.223     brouard  6593:       } /* end cpt state*/
                   6594:     } /* end covariate */
                   6595:   } /* End if prevfcast */
1.227     brouard  6596:   
                   6597:   
1.223     brouard  6598:   /* proba elementaires */
                   6599:   fprintf(ficgp,"\n##############\n#MLE estimated parameters\n#############\n");
1.126     brouard  6600:   for(i=1,jk=1; i <=nlstate; i++){
1.187     brouard  6601:     fprintf(ficgp,"# initial state %d\n",i);
1.126     brouard  6602:     for(k=1; k <=(nlstate+ndeath); k++){
                   6603:       if (k != i) {
1.227     brouard  6604:        fprintf(ficgp,"#   current state %d\n",k);
                   6605:        for(j=1; j <=ncovmodel; j++){
                   6606:          fprintf(ficgp,"p%d=%f; ",jk,p[jk]);
                   6607:          jk++; 
                   6608:        }
                   6609:        fprintf(ficgp,"\n");
1.126     brouard  6610:       }
                   6611:     }
1.223     brouard  6612:   }
1.187     brouard  6613:   fprintf(ficgp,"##############\n#\n");
1.227     brouard  6614:   
1.145     brouard  6615:   /*goto avoid;*/
1.200     brouard  6616:   fprintf(ficgp,"\n##############\n#Graphics of probabilities or incidences\n#############\n");
1.187     brouard  6617:   fprintf(ficgp,"# logi(p12/p11)=a12+b12*age+c12age*age+d12*V1+e12*V1*age\n");
                   6618:   fprintf(ficgp,"# logi(p12/p11)=p1 +p2*age +p3*age*age+ p4*V1+ p5*V1*age\n");
                   6619:   fprintf(ficgp,"# logi(p13/p11)=a13+b13*age+c13age*age+d13*V1+e13*V1*age\n");
                   6620:   fprintf(ficgp,"# logi(p13/p11)=p6 +p7*age +p8*age*age+ p9*V1+ p10*V1*age\n");
                   6621:   fprintf(ficgp,"# p12+p13+p14+p11=1=p11(1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
                   6622:   fprintf(ficgp,"#                      +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age)+...)\n");
                   6623:   fprintf(ficgp,"# p11=1/(1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
                   6624:   fprintf(ficgp,"#                      +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age)+...)\n");
                   6625:   fprintf(ficgp,"# p12=exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)/\n");
                   6626:   fprintf(ficgp,"#     (1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
                   6627:   fprintf(ficgp,"#       +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age))\n");
                   6628:   fprintf(ficgp,"#       +exp(a14+b14*age+c14age*age+d14*V1+e14*V1*age)+...)\n");
                   6629:   fprintf(ficgp,"#\n");
1.223     brouard  6630:   for(ng=1; ng<=3;ng++){ /* Number of graphics: first is logit, 2nd is probabilities, third is incidences per year*/
                   6631:     fprintf(ficgp,"# ng=%d\n",ng);
1.225     brouard  6632:     fprintf(ficgp,"#   jk=1 to 2^%d=%d\n",cptcoveff,m);
1.223     brouard  6633:     for(jk=1; jk <=m; jk++) {
                   6634:       fprintf(ficgp,"#    jk=%d\n",jk);
                   6635:       fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" ",subdirf2(optionfilefiname,"PE_"),jk,ng);
                   6636:       fprintf(ficgp,"\nset ter svg size 640, 480 ");
                   6637:       if (ng==1){
                   6638:        fprintf(ficgp,"\nset ylabel \"Value of the logit of the model\"\n"); /* exp(a12+b12*x) could be nice */
                   6639:        fprintf(ficgp,"\nunset log y");
                   6640:       }else if (ng==2){
                   6641:        fprintf(ficgp,"\nset ylabel \"Probability\"\n");
                   6642:        fprintf(ficgp,"\nset log y");
                   6643:       }else if (ng==3){
                   6644:        fprintf(ficgp,"\nset ylabel \"Quasi-incidence per year\"\n");
                   6645:        fprintf(ficgp,"\nset log y");
                   6646:       }else
                   6647:        fprintf(ficgp,"\nunset title ");
                   6648:       fprintf(ficgp,"\nplot  [%.f:%.f] ",ageminpar,agemaxpar);
                   6649:       i=1;
                   6650:       for(k2=1; k2<=nlstate; k2++) {
                   6651:        k3=i;
                   6652:        for(k=1; k<=(nlstate+ndeath); k++) {
                   6653:          if (k != k2){
                   6654:            switch( ng) {
                   6655:            case 1:
                   6656:              if(nagesqr==0)
                   6657:                fprintf(ficgp," p%d+p%d*x",i,i+1);
                   6658:              else /* nagesqr =1 */
                   6659:                fprintf(ficgp," p%d+p%d*x+p%d*x*x",i,i+1,i+1+nagesqr);
                   6660:              break;
                   6661:            case 2: /* ng=2 */
                   6662:              if(nagesqr==0)
                   6663:                fprintf(ficgp," exp(p%d+p%d*x",i,i+1);
                   6664:              else /* nagesqr =1 */
                   6665:                fprintf(ficgp," exp(p%d+p%d*x+p%d*x*x",i,i+1,i+1+nagesqr);
                   6666:              break;
                   6667:            case 3:
                   6668:              if(nagesqr==0)
                   6669:                fprintf(ficgp," %f*exp(p%d+p%d*x",YEARM/stepm,i,i+1);
                   6670:              else /* nagesqr =1 */
                   6671:                fprintf(ficgp," %f*exp(p%d+p%d*x+p%d*x*x",YEARM/stepm,i,i+1,i+1+nagesqr);
                   6672:              break;
                   6673:            }
                   6674:            ij=1;/* To be checked else nbcode[0][0] wrong */
                   6675:            for(j=3; j <=ncovmodel-nagesqr; j++) {
                   6676:              /* printf("Tage[%d]=%d, j=%d\n", ij, Tage[ij], j); */
                   6677:              if(ij <=cptcovage) { /* Bug valgrind */
                   6678:                if((j-2)==Tage[ij]) { /* Bug valgrind */
                   6679:                  fprintf(ficgp,"+p%d*%d*x",i+j+nagesqr-1,nbcode[Tvar[j-2]][codtabm(jk,j-2)]);
                   6680:                  /* fprintf(ficgp,"+p%d*%d*x",i+j+nagesqr-1,nbcode[Tvar[j-2]][codtabm(jk,Tvar[j-2])]); */
                   6681:                  ij++;
                   6682:                }
                   6683:              }
                   6684:              else
1.227     brouard  6685:                fprintf(ficgp,"+p%d*%d",i+j+nagesqr-1,nbcode[Tvar[j-2]][codtabm(jk,j-2)]); /* Valgrind bug nbcode */
1.223     brouard  6686:            }
                   6687:          }else{
                   6688:            i=i-ncovmodel;
                   6689:            if(ng !=1 ) /* For logit formula of log p11 is more difficult to get */
                   6690:              fprintf(ficgp," (1.");
                   6691:          }
1.227     brouard  6692:          
1.223     brouard  6693:          if(ng != 1){
                   6694:            fprintf(ficgp,")/(1");
1.227     brouard  6695:            
1.223     brouard  6696:            for(k1=1; k1 <=nlstate; k1++){ 
                   6697:              if(nagesqr==0)
                   6698:                fprintf(ficgp,"+exp(p%d+p%d*x",k3+(k1-1)*ncovmodel,k3+(k1-1)*ncovmodel+1);
                   6699:              else /* nagesqr =1 */
                   6700:                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  6701:               
1.223     brouard  6702:              ij=1;
                   6703:              for(j=3; j <=ncovmodel-nagesqr; j++){
                   6704:                if(ij <=cptcovage) { /* Bug valgrind */
                   6705:                  if((j-2)==Tage[ij]) { /* Bug valgrind */
                   6706:                    fprintf(ficgp,"+p%d*%d*x",k3+(k1-1)*ncovmodel+1+j-2+nagesqr,nbcode[Tvar[j-2]][codtabm(jk,j-2)]);
                   6707:                    /* fprintf(ficgp,"+p%d*%d*x",k3+(k1-1)*ncovmodel+1+j-2+nagesqr,nbcode[Tvar[j-2]][codtabm(jk,Tvar[j-2])]); */
                   6708:                    ij++;
                   6709:                  }
                   6710:                }
                   6711:                else
1.225     brouard  6712:                  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  6713:              }
                   6714:              fprintf(ficgp,")");
                   6715:            }
                   6716:            fprintf(ficgp,")");
                   6717:            if(ng ==2)
                   6718:              fprintf(ficgp," t \"p%d%d\" ", k2,k);
                   6719:            else /* ng= 3 */
                   6720:              fprintf(ficgp," t \"i%d%d\" ", k2,k);
                   6721:          }else{ /* end ng <> 1 */
                   6722:            if( k !=k2) /* logit p11 is hard to draw */
                   6723:              fprintf(ficgp," t \"logit(p%d%d)\" ", k2,k);
                   6724:          }
                   6725:          if ((k+k2)!= (nlstate*2+ndeath) && ng != 1)
                   6726:            fprintf(ficgp,",");
                   6727:          if (ng == 1 && k!=k2 && (k+k2)!= (nlstate*2+ndeath))
                   6728:            fprintf(ficgp,",");
                   6729:          i=i+ncovmodel;
                   6730:        } /* end k */
                   6731:       } /* end k2 */
                   6732:       fprintf(ficgp,"\n set out\n");
                   6733:     } /* end jk */
                   6734:   } /* end ng */
                   6735:   /* avoid: */
                   6736:   fflush(ficgp); 
1.126     brouard  6737: }  /* end gnuplot */
                   6738: 
                   6739: 
                   6740: /*************** Moving average **************/
1.219     brouard  6741: /* int movingaverage(double ***probs, double bage, double fage, double ***mobaverage, int mobilav, double bageout, double fageout){ */
1.222     brouard  6742:  int movingaverage(double ***probs, double bage, double fage, double ***mobaverage, int mobilav){
1.218     brouard  6743:    
1.222     brouard  6744:    int i, cpt, cptcod;
                   6745:    int modcovmax =1;
                   6746:    int mobilavrange, mob;
                   6747:    int iage=0;
                   6748: 
                   6749:    double sum=0.;
                   6750:    double age;
                   6751:    double *sumnewp, *sumnewm;
                   6752:    double *agemingood, *agemaxgood; /* Currently identical for all covariates */
                   6753:   
                   6754:   
1.225     brouard  6755:    /* modcovmax=2*cptcoveff;/\* Max number of modalities. We suppose  */
1.222     brouard  6756:    /*             a covariate has 2 modalities, should be equal to ncovcombmax  *\/ */
                   6757: 
                   6758:    sumnewp = vector(1,ncovcombmax);
                   6759:    sumnewm = vector(1,ncovcombmax);
                   6760:    agemingood = vector(1,ncovcombmax); 
                   6761:    agemaxgood = vector(1,ncovcombmax);
                   6762: 
                   6763:    for (cptcod=1;cptcod<=ncovcombmax;cptcod++){
                   6764:      sumnewm[cptcod]=0.;
                   6765:      sumnewp[cptcod]=0.;
                   6766:      agemingood[cptcod]=0;
                   6767:      agemaxgood[cptcod]=0;
                   6768:    }
                   6769:    if (cptcovn<1) ncovcombmax=1; /* At least 1 pass */
                   6770:   
                   6771:    if(mobilav==1||mobilav ==3 ||mobilav==5 ||mobilav== 7){
                   6772:      if(mobilav==1) mobilavrange=5; /* default */
                   6773:      else mobilavrange=mobilav;
                   6774:      for (age=bage; age<=fage; age++)
                   6775:        for (i=1; i<=nlstate;i++)
                   6776:         for (cptcod=1;cptcod<=ncovcombmax;cptcod++)
                   6777:           mobaverage[(int)age][i][cptcod]=probs[(int)age][i][cptcod];
                   6778:      /* We keep the original values on the extreme ages bage, fage and for 
                   6779:        fage+1 and bage-1 we use a 3 terms moving average; for fage+2 bage+2
                   6780:        we use a 5 terms etc. until the borders are no more concerned. 
                   6781:      */ 
                   6782:      for (mob=3;mob <=mobilavrange;mob=mob+2){
                   6783:        for (age=bage+(mob-1)/2; age<=fage-(mob-1)/2; age++){
                   6784:         for (i=1; i<=nlstate;i++){
                   6785:           for (cptcod=1;cptcod<=ncovcombmax;cptcod++){
                   6786:             mobaverage[(int)age][i][cptcod] =probs[(int)age][i][cptcod];
                   6787:             for (cpt=1;cpt<=(mob-1)/2;cpt++){
                   6788:               mobaverage[(int)age][i][cptcod] +=probs[(int)age-cpt][i][cptcod];
                   6789:               mobaverage[(int)age][i][cptcod] +=probs[(int)age+cpt][i][cptcod];
                   6790:             }
                   6791:             mobaverage[(int)age][i][cptcod]=mobaverage[(int)age][i][cptcod]/mob;
                   6792:           }
                   6793:         }
                   6794:        }/* end age */
                   6795:      }/* end mob */
                   6796:    }else
                   6797:      return -1;
                   6798:    for (cptcod=1;cptcod<=ncovcombmax;cptcod++){
                   6799:      /* for (age=bage+(mob-1)/2; age<=fage-(mob-1)/2; age++){ */
                   6800:      if(invalidvarcomb[cptcod]){
                   6801:        printf("\nCombination (%d) ignored because no cases \n",cptcod); 
                   6802:        continue;
                   6803:      }
1.219     brouard  6804: 
1.222     brouard  6805:      agemingood[cptcod]=fage-(mob-1)/2;
                   6806:      for (age=fage-(mob-1)/2; age>=bage; age--){/* From oldest to youngest, finding the youngest wrong */
                   6807:        sumnewm[cptcod]=0.;
                   6808:        for (i=1; i<=nlstate;i++){
                   6809:         sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
                   6810:        }
                   6811:        if(fabs(sumnewm[cptcod] - 1.) <= 1.e-3) { /* good */
                   6812:         agemingood[cptcod]=age;
                   6813:        }else{ /* bad */
                   6814:         for (i=1; i<=nlstate;i++){
                   6815:           mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemingood[cptcod]][i][cptcod];
                   6816:         } /* i */
                   6817:        } /* end bad */
                   6818:      }/* age */
                   6819:      sum=0.;
                   6820:      for (i=1; i<=nlstate;i++){
                   6821:        sum+=mobaverage[(int)agemingood[cptcod]][i][cptcod];
                   6822:      }
                   6823:      if(fabs(sum - 1.) > 1.e-3) { /* bad */
                   6824:        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);
                   6825:        /* for (i=1; i<=nlstate;i++){ */
                   6826:        /*   mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemingood[cptcod]][i][cptcod]; */
                   6827:        /* } /\* i *\/ */
                   6828:      } /* end bad */
                   6829:      /* else{ /\* We found some ages summing to one, we will smooth the oldest *\/ */
                   6830:      /* From youngest, finding the oldest wrong */
                   6831:      agemaxgood[cptcod]=bage+(mob-1)/2;
                   6832:      for (age=bage+(mob-1)/2; age<=fage; age++){
                   6833:        sumnewm[cptcod]=0.;
                   6834:        for (i=1; i<=nlstate;i++){
                   6835:         sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
                   6836:        }
                   6837:        if(fabs(sumnewm[cptcod] - 1.) <= 1.e-3) { /* good */
                   6838:         agemaxgood[cptcod]=age;
                   6839:        }else{ /* bad */
                   6840:         for (i=1; i<=nlstate;i++){
                   6841:           mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemaxgood[cptcod]][i][cptcod];
                   6842:         } /* i */
                   6843:        } /* end bad */
                   6844:      }/* age */
                   6845:      sum=0.;
                   6846:      for (i=1; i<=nlstate;i++){
                   6847:        sum+=mobaverage[(int)agemaxgood[cptcod]][i][cptcod];
                   6848:      }
                   6849:      if(fabs(sum - 1.) > 1.e-3) { /* bad */
                   6850:        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);
                   6851:        /* for (i=1; i<=nlstate;i++){ */
                   6852:        /*   mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemingood[cptcod]][i][cptcod]; */
                   6853:        /* } /\* i *\/ */
                   6854:      } /* end bad */
                   6855:                
                   6856:      for (age=bage; age<=fage; age++){
                   6857:        printf("%d %d ", cptcod, (int)age);
                   6858:        sumnewp[cptcod]=0.;
                   6859:        sumnewm[cptcod]=0.;
                   6860:        for (i=1; i<=nlstate;i++){
                   6861:         sumnewp[cptcod]+=probs[(int)age][i][cptcod];
                   6862:         sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
                   6863:         /* printf("%.4f %.4f ",probs[(int)age][i][cptcod], mobaverage[(int)age][i][cptcod]); */
                   6864:        }
                   6865:        /* printf("%.4f %.4f \n",sumnewp[cptcod], sumnewm[cptcod]); */
                   6866:      }
                   6867:      /* printf("\n"); */
                   6868:      /* } */
                   6869:      /* brutal averaging */
                   6870:      for (i=1; i<=nlstate;i++){
                   6871:        for (age=1; age<=bage; age++){
                   6872:         mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemingood[cptcod]][i][cptcod];
                   6873:         /* printf("age=%d i=%d cptcod=%d mobaverage=%.4f \n",(int)age,i, cptcod, mobaverage[(int)age][i][cptcod]); */
                   6874:        }       
                   6875:        for (age=fage; age<=AGESUP; age++){
                   6876:         mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemaxgood[cptcod]][i][cptcod];
                   6877:         /* printf("age=%d i=%d cptcod=%d mobaverage=%.4f \n",(int)age,i, cptcod, mobaverage[(int)age][i][cptcod]); */
                   6878:        }
                   6879:      } /* end i status */
                   6880:      for (i=nlstate+1; i<=nlstate+ndeath;i++){
                   6881:        for (age=1; age<=AGESUP; age++){
                   6882:         /*printf("i=%d, age=%d, cptcod=%d\n",i, (int)age, cptcod);*/
                   6883:         mobaverage[(int)age][i][cptcod]=0.;
                   6884:        }
                   6885:      }
                   6886:    }/* end cptcod */
                   6887:    free_vector(sumnewm,1, ncovcombmax);
                   6888:    free_vector(sumnewp,1, ncovcombmax);
                   6889:    free_vector(agemaxgood,1, ncovcombmax);
                   6890:    free_vector(agemingood,1, ncovcombmax);
                   6891:    return 0;
                   6892:  }/* End movingaverage */
1.218     brouard  6893:  
1.126     brouard  6894: 
                   6895: /************** Forecasting ******************/
1.225     brouard  6896: 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  6897:   /* proj1, year, month, day of starting projection 
                   6898:      agemin, agemax range of age
                   6899:      dateprev1 dateprev2 range of dates during which prevalence is computed
                   6900:      anproj2 year of en of projection (same day and month as proj1).
                   6901:   */
1.164     brouard  6902:   int yearp, stepsize, hstepm, nhstepm, j, k, cptcod, i, h, i1;
1.126     brouard  6903:   double agec; /* generic age */
                   6904:   double agelim, ppij, yp,yp1,yp2,jprojmean,mprojmean,anprojmean;
                   6905:   double *popeffectif,*popcount;
                   6906:   double ***p3mat;
1.218     brouard  6907:   /* double ***mobaverage; */
1.126     brouard  6908:   char fileresf[FILENAMELENGTH];
                   6909: 
                   6910:   agelim=AGESUP;
1.211     brouard  6911:   /* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people
                   6912:      in each health status at the date of interview (if between dateprev1 and dateprev2).
                   6913:      We still use firstpass and lastpass as another selection.
                   6914:   */
1.214     brouard  6915:   /* freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint,strstart,\ */
                   6916:   /*         firstpass, lastpass,  stepm,  weightopt, model); */
1.126     brouard  6917:  
1.201     brouard  6918:   strcpy(fileresf,"F_"); 
                   6919:   strcat(fileresf,fileresu);
1.126     brouard  6920:   if((ficresf=fopen(fileresf,"w"))==NULL) {
                   6921:     printf("Problem with forecast resultfile: %s\n", fileresf);
                   6922:     fprintf(ficlog,"Problem with forecast resultfile: %s\n", fileresf);
                   6923:   }
1.215     brouard  6924:   printf("Computing forecasting: result on file '%s', please wait... \n", fileresf);
                   6925:   fprintf(ficlog,"Computing forecasting: result on file '%s', please wait... \n", fileresf);
1.126     brouard  6926: 
1.225     brouard  6927:   if (cptcoveff==0) ncodemax[cptcoveff]=1;
1.126     brouard  6928: 
                   6929: 
                   6930:   stepsize=(int) (stepm+YEARM-1)/YEARM;
                   6931:   if (stepm<=12) stepsize=1;
                   6932:   if(estepm < stepm){
                   6933:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   6934:   }
                   6935:   else  hstepm=estepm;   
                   6936: 
                   6937:   hstepm=hstepm/stepm; 
                   6938:   yp1=modf(dateintmean,&yp);/* extracts integral of datemean in yp  and
                   6939:                                fractional in yp1 */
                   6940:   anprojmean=yp;
                   6941:   yp2=modf((yp1*12),&yp);
                   6942:   mprojmean=yp;
                   6943:   yp1=modf((yp2*30.5),&yp);
                   6944:   jprojmean=yp;
                   6945:   if(jprojmean==0) jprojmean=1;
                   6946:   if(mprojmean==0) jprojmean=1;
                   6947: 
1.227     brouard  6948:   i1=pow(2,cptcoveff);
1.126     brouard  6949:   if (cptcovn < 1){i1=1;}
                   6950:   
                   6951:   fprintf(ficresf,"# Mean day of interviews %.lf/%.lf/%.lf (%.2f) between %.2f and %.2f \n",jprojmean,mprojmean,anprojmean,dateintmean,dateprev1,dateprev2); 
                   6952:   
                   6953:   fprintf(ficresf,"#****** Routine prevforecast **\n");
1.227     brouard  6954:   
1.126     brouard  6955: /*           if (h==(int)(YEARM*yearp)){ */
1.227     brouard  6956:   for(k=1;k<=i1;k++){
                   6957:     if(invalidvarcomb[k]){
                   6958:       printf("\nCombination (%d) projection ignored because no cases \n",k); 
                   6959:       continue;
                   6960:     }
                   6961:     fprintf(ficresf,"\n#****** hpijx=probability over h years, hp.jx is weighted by observed prev \n#");
                   6962:     for(j=1;j<=cptcoveff;j++) {
                   6963:       fprintf(ficresf," V%d (=) %d",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   6964:     }
                   6965:     fprintf(ficresf," yearproj age");
                   6966:     for(j=1; j<=nlstate+ndeath;j++){ 
                   6967:       for(i=1; i<=nlstate;i++)               
                   6968:        fprintf(ficresf," p%d%d",i,j);
                   6969:       fprintf(ficresf," wp.%d",j);
                   6970:     }
                   6971:     for (yearp=0; yearp<=(anproj2-anproj1);yearp +=stepsize) {
                   6972:       fprintf(ficresf,"\n");
                   6973:       fprintf(ficresf,"\n# Forecasting at date %.lf/%.lf/%.lf ",jproj1,mproj1,anproj1+yearp);   
                   6974:       for (agec=fage; agec>=(ageminpar-1); agec--){ 
                   6975:        nhstepm=(int) rint((agelim-agec)*YEARM/stepm); 
                   6976:        nhstepm = nhstepm/hstepm; 
                   6977:        p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   6978:        oldm=oldms;savm=savms;
                   6979:        hpxij(p3mat,nhstepm,agec,hstepm,p,nlstate,stepm,oldm,savm, k);
                   6980:        
                   6981:        for (h=0; h<=nhstepm; h++){
                   6982:          if (h*hstepm/YEARM*stepm ==yearp) {
                   6983:            fprintf(ficresf,"\n");
                   6984:            for(j=1;j<=cptcoveff;j++) 
                   6985:              fprintf(ficresf,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   6986:            fprintf(ficresf,"%.f %.f ",anproj1+yearp,agec+h*hstepm/YEARM*stepm);
                   6987:          } 
                   6988:          for(j=1; j<=nlstate+ndeath;j++) {
                   6989:            ppij=0.;
                   6990:            for(i=1; i<=nlstate;i++) {
                   6991:              if (mobilav==1) 
                   6992:                ppij=ppij+p3mat[i][j][h]*mobaverage[(int)agec][i][k];
                   6993:              else {
                   6994:                ppij=ppij+p3mat[i][j][h]*probs[(int)(agec)][i][k];
                   6995:              }
                   6996:              if (h*hstepm/YEARM*stepm== yearp) {
                   6997:                fprintf(ficresf," %.3f", p3mat[i][j][h]);
                   6998:              }
                   6999:            } /* end i */
                   7000:            if (h*hstepm/YEARM*stepm==yearp) {
                   7001:              fprintf(ficresf," %.3f", ppij);
                   7002:            }
                   7003:          }/* end j */
                   7004:        } /* end h */
                   7005:        free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   7006:       } /* end agec */
                   7007:     } /* end yearp */
                   7008:   } /* end  k */
1.219     brouard  7009:        
1.126     brouard  7010:   fclose(ficresf);
1.215     brouard  7011:   printf("End of Computing forecasting \n");
                   7012:   fprintf(ficlog,"End of Computing forecasting\n");
                   7013: 
1.126     brouard  7014: }
                   7015: 
1.218     brouard  7016: /* /\************** Back Forecasting ******************\/ */
1.225     brouard  7017: /* 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  7018: /*   /\* back1, year, month, day of starting backection  */
                   7019: /*      agemin, agemax range of age */
                   7020: /*      dateprev1 dateprev2 range of dates during which prevalence is computed */
                   7021: /*      anback2 year of en of backection (same day and month as back1). */
                   7022: /*   *\/ */
                   7023: /*   int yearp, stepsize, hstepm, nhstepm, j, k, cptcod, i, h, i1; */
                   7024: /*   double agec; /\* generic age *\/ */
                   7025: /*   double agelim, ppij, yp,yp1,yp2,jprojmean,mprojmean,anprojmean; */
                   7026: /*   double *popeffectif,*popcount; */
                   7027: /*   double ***p3mat; */
                   7028: /*   /\* double ***mobaverage; *\/ */
                   7029: /*   char fileresfb[FILENAMELENGTH]; */
                   7030:        
                   7031: /*   agelim=AGESUP; */
                   7032: /*   /\* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people */
                   7033: /*      in each health status at the date of interview (if between dateprev1 and dateprev2). */
                   7034: /*      We still use firstpass and lastpass as another selection. */
                   7035: /*   *\/ */
                   7036: /*   /\* freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint,strstart,\ *\/ */
                   7037: /*   /\*             firstpass, lastpass,  stepm,  weightopt, model); *\/ */
                   7038: /*   prevalence(probs, ageminpar, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass); */
                   7039:        
                   7040: /*   strcpy(fileresfb,"FB_");  */
                   7041: /*   strcat(fileresfb,fileresu); */
                   7042: /*   if((ficresfb=fopen(fileresfb,"w"))==NULL) { */
                   7043: /*     printf("Problem with back forecast resultfile: %s\n", fileresfb); */
                   7044: /*     fprintf(ficlog,"Problem with back forecast resultfile: %s\n", fileresfb); */
                   7045: /*   } */
                   7046: /*   printf("Computing back forecasting: result on file '%s', please wait... \n", fileresfb); */
                   7047: /*   fprintf(ficlog,"Computing back forecasting: result on file '%s', please wait... \n", fileresfb); */
                   7048:        
1.225     brouard  7049: /*   if (cptcoveff==0) ncodemax[cptcoveff]=1; */
1.218     brouard  7050:        
                   7051: /*   /\* if (mobilav!=0) { *\/ */
                   7052: /*   /\*   mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); *\/ */
                   7053: /*   /\*   if (movingaverage(probs, ageminpar, fage, mobaverage,mobilav)!=0){ *\/ */
                   7054: /*   /\*     fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav); *\/ */
                   7055: /*   /\*     printf(" Error in movingaverage mobilav=%d\n",mobilav); *\/ */
                   7056: /*   /\*   } *\/ */
                   7057: /*   /\* } *\/ */
                   7058:        
                   7059: /*   stepsize=(int) (stepm+YEARM-1)/YEARM; */
                   7060: /*   if (stepm<=12) stepsize=1; */
                   7061: /*   if(estepm < stepm){ */
                   7062: /*     printf ("Problem %d lower than %d\n",estepm, stepm); */
                   7063: /*   } */
                   7064: /*   else  hstepm=estepm;    */
                   7065:        
                   7066: /*   hstepm=hstepm/stepm;  */
                   7067: /*   yp1=modf(dateintmean,&yp);/\* extracts integral of datemean in yp  and */
                   7068: /*                                fractional in yp1 *\/ */
                   7069: /*   anprojmean=yp; */
                   7070: /*   yp2=modf((yp1*12),&yp); */
                   7071: /*   mprojmean=yp; */
                   7072: /*   yp1=modf((yp2*30.5),&yp); */
                   7073: /*   jprojmean=yp; */
                   7074: /*   if(jprojmean==0) jprojmean=1; */
                   7075: /*   if(mprojmean==0) jprojmean=1; */
                   7076:        
1.225     brouard  7077: /*   i1=cptcoveff; */
1.218     brouard  7078: /*   if (cptcovn < 1){i1=1;} */
1.217     brouard  7079:   
1.218     brouard  7080: /*   fprintf(ficresfb,"# Mean day of interviews %.lf/%.lf/%.lf (%.2f) between %.2f and %.2f \n",jprojmean,mprojmean,anprojmean,dateintmean,dateprev1,dateprev2);  */
1.217     brouard  7081:   
1.218     brouard  7082: /*   fprintf(ficresfb,"#****** Routine prevbackforecast **\n"); */
                   7083:        
                   7084: /*     /\*           if (h==(int)(YEARM*yearp)){ *\/ */
                   7085: /*   for(cptcov=1, k=0;cptcov<=i1;cptcov++){ */
1.225     brouard  7086: /*     for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){ */
1.218     brouard  7087: /*       k=k+1; */
                   7088: /*       fprintf(ficresfb,"\n#****** hbijx=probability over h years, hp.jx is weighted by observed prev \n#"); */
1.225     brouard  7089: /*       for(j=1;j<=cptcoveff;j++) { */
1.218     brouard  7090: /*                             fprintf(ficresfb," V%d (=) %d",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]); */
                   7091: /*       } */
                   7092: /*       fprintf(ficresfb," yearbproj age"); */
                   7093: /*       for(j=1; j<=nlstate+ndeath;j++){  */
                   7094: /*                             for(i=1; i<=nlstate;i++)               */
                   7095: /*           fprintf(ficresfb," p%d%d",i,j); */
                   7096: /*                             fprintf(ficresfb," p.%d",j); */
                   7097: /*       } */
                   7098: /*       for (yearp=0; yearp>=(anback2-anback1);yearp -=stepsize) {  */
                   7099: /*                             /\* for (yearp=0; yearp<=(anproj2-anproj1);yearp +=stepsize) {  *\/ */
                   7100: /*                             fprintf(ficresfb,"\n"); */
                   7101: /*                             fprintf(ficresfb,"\n# Back Forecasting at date %.lf/%.lf/%.lf ",jback1,mback1,anback1+yearp);    */
                   7102: /*                             for (agec=fage; agec>=(ageminpar-1); agec--){  */
                   7103: /*                                     nhstepm=(int) rint((agelim-agec)*YEARM/stepm);  */
                   7104: /*                                     nhstepm = nhstepm/hstepm;  */
                   7105: /*                                     p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); */
                   7106: /*                                     oldm=oldms;savm=savms; */
                   7107: /*                                     hbxij(p3mat,nhstepm,agec,hstepm,p,prevacurrent,nlstate,stepm,oldm,savm,oldm,savm, dnewm, doldm, dsavm, k);       */
                   7108: /*                                     for (h=0; h<=nhstepm; h++){ */
                   7109: /*                                             if (h*hstepm/YEARM*stepm ==yearp) { */
                   7110: /*               fprintf(ficresfb,"\n"); */
1.225     brouard  7111: /*               for(j=1;j<=cptcoveff;j++)  */
1.218     brouard  7112: /*                 fprintf(ficresfb,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]); */
                   7113: /*                                                     fprintf(ficresfb,"%.f %.f ",anback1+yearp,agec+h*hstepm/YEARM*stepm); */
                   7114: /*                                             }  */
                   7115: /*                                             for(j=1; j<=nlstate+ndeath;j++) { */
                   7116: /*                                                     ppij=0.; */
                   7117: /*                                                     for(i=1; i<=nlstate;i++) { */
                   7118: /*                                                             if (mobilav==1)  */
                   7119: /*                                                                     ppij=ppij+p3mat[i][j][h]*mobaverage[(int)agec][i][cptcod]; */
                   7120: /*                                                             else { */
                   7121: /*                                                                     ppij=ppij+p3mat[i][j][h]*probs[(int)(agec)][i][cptcod]; */
                   7122: /*                                                             } */
                   7123: /*                                                             if (h*hstepm/YEARM*stepm== yearp) { */
                   7124: /*                                                                     fprintf(ficresfb," %.3f", p3mat[i][j][h]); */
                   7125: /*                                                             } */
                   7126: /*                                                     } /\* end i *\/ */
                   7127: /*                                                     if (h*hstepm/YEARM*stepm==yearp) { */
                   7128: /*                                                             fprintf(ficresfb," %.3f", ppij); */
                   7129: /*                                                     } */
                   7130: /*                                             }/\* end j *\/ */
                   7131: /*                                     } /\* end h *\/ */
                   7132: /*                                     free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); */
                   7133: /*                             } /\* end agec *\/ */
                   7134: /*       } /\* end yearp *\/ */
                   7135: /*     } /\* end cptcod *\/ */
                   7136: /*   } /\* end  cptcov *\/ */
                   7137:        
                   7138: /*   /\* if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); *\/ */
                   7139:        
                   7140: /*   fclose(ficresfb); */
                   7141: /*   printf("End of Computing Back forecasting \n"); */
                   7142: /*   fprintf(ficlog,"End of Computing Back forecasting\n"); */
1.217     brouard  7143:        
1.218     brouard  7144: /* } */
1.217     brouard  7145: 
1.126     brouard  7146: /************** Forecasting *****not tested NB*************/
1.227     brouard  7147: /* 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  7148:   
1.227     brouard  7149: /*   int cpt, stepsize, hstepm, nhstepm, j,k,c, cptcod, i,h; */
                   7150: /*   int *popage; */
                   7151: /*   double calagedatem, agelim, kk1, kk2; */
                   7152: /*   double *popeffectif,*popcount; */
                   7153: /*   double ***p3mat,***tabpop,***tabpopprev; */
                   7154: /*   /\* double ***mobaverage; *\/ */
                   7155: /*   char filerespop[FILENAMELENGTH]; */
1.126     brouard  7156: 
1.227     brouard  7157: /*   tabpop= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   7158: /*   tabpopprev= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   7159: /*   agelim=AGESUP; */
                   7160: /*   calagedatem=(anpyram+mpyram/12.+jpyram/365.-dateintmean)*YEARM; */
1.126     brouard  7161:   
1.227     brouard  7162: /*   prevalence(probs, ageminpar, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass); */
1.126     brouard  7163:   
                   7164:   
1.227     brouard  7165: /*   strcpy(filerespop,"POP_");  */
                   7166: /*   strcat(filerespop,fileresu); */
                   7167: /*   if((ficrespop=fopen(filerespop,"w"))==NULL) { */
                   7168: /*     printf("Problem with forecast resultfile: %s\n", filerespop); */
                   7169: /*     fprintf(ficlog,"Problem with forecast resultfile: %s\n", filerespop); */
                   7170: /*   } */
                   7171: /*   printf("Computing forecasting: result on file '%s' \n", filerespop); */
                   7172: /*   fprintf(ficlog,"Computing forecasting: result on file '%s' \n", filerespop); */
1.126     brouard  7173: 
1.227     brouard  7174: /*   if (cptcoveff==0) ncodemax[cptcoveff]=1; */
1.126     brouard  7175: 
1.227     brouard  7176: /*   /\* if (mobilav!=0) { *\/ */
                   7177: /*   /\*   mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); *\/ */
                   7178: /*   /\*   if (movingaverage(probs, ageminpar, fage, mobaverage,mobilav)!=0){ *\/ */
                   7179: /*   /\*     fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav); *\/ */
                   7180: /*   /\*     printf(" Error in movingaverage mobilav=%d\n",mobilav); *\/ */
                   7181: /*   /\*   } *\/ */
                   7182: /*   /\* } *\/ */
1.126     brouard  7183: 
1.227     brouard  7184: /*   stepsize=(int) (stepm+YEARM-1)/YEARM; */
                   7185: /*   if (stepm<=12) stepsize=1; */
1.126     brouard  7186:   
1.227     brouard  7187: /*   agelim=AGESUP; */
1.126     brouard  7188:   
1.227     brouard  7189: /*   hstepm=1; */
                   7190: /*   hstepm=hstepm/stepm;  */
1.218     brouard  7191:        
1.227     brouard  7192: /*   if (popforecast==1) { */
                   7193: /*     if((ficpop=fopen(popfile,"r"))==NULL) { */
                   7194: /*       printf("Problem with population file : %s\n",popfile);exit(0); */
                   7195: /*       fprintf(ficlog,"Problem with population file : %s\n",popfile);exit(0); */
                   7196: /*     }  */
                   7197: /*     popage=ivector(0,AGESUP); */
                   7198: /*     popeffectif=vector(0,AGESUP); */
                   7199: /*     popcount=vector(0,AGESUP); */
1.126     brouard  7200:     
1.227     brouard  7201: /*     i=1;    */
                   7202: /*     while ((c=fscanf(ficpop,"%d %lf\n",&popage[i],&popcount[i])) != EOF) i=i+1; */
1.218     brouard  7203:     
1.227     brouard  7204: /*     imx=i; */
                   7205: /*     for (i=1; i<imx;i++) popeffectif[popage[i]]=popcount[i]; */
                   7206: /*   } */
1.218     brouard  7207:   
1.227     brouard  7208: /*   for(cptcov=1,k=0;cptcov<=i2;cptcov++){ */
                   7209: /*     for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){ */
                   7210: /*       k=k+1; */
                   7211: /*       fprintf(ficrespop,"\n#******"); */
                   7212: /*       for(j=1;j<=cptcoveff;j++) { */
                   7213: /*     fprintf(ficrespop," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]); */
                   7214: /*       } */
                   7215: /*       fprintf(ficrespop,"******\n"); */
                   7216: /*       fprintf(ficrespop,"# Age"); */
                   7217: /*       for(j=1; j<=nlstate+ndeath;j++) fprintf(ficrespop," P.%d",j); */
                   7218: /*       if (popforecast==1)  fprintf(ficrespop," [Population]"); */
1.126     brouard  7219:       
1.227     brouard  7220: /*       for (cpt=0; cpt<=0;cpt++) {  */
                   7221: /*     fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);    */
1.126     brouard  7222:        
1.227     brouard  7223: /*     for (agedeb=(fage-((int)calagedatem %12/12.)); agedeb>=(ageminpar-((int)calagedatem %12)/12.); agedeb--){  */
                   7224: /*       nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm);  */
                   7225: /*       nhstepm = nhstepm/hstepm;  */
1.126     brouard  7226:          
1.227     brouard  7227: /*       p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); */
                   7228: /*       oldm=oldms;savm=savms; */
                   7229: /*       hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);   */
1.218     brouard  7230:          
1.227     brouard  7231: /*       for (h=0; h<=nhstepm; h++){ */
                   7232: /*         if (h==(int) (calagedatem+YEARM*cpt)) { */
                   7233: /*           fprintf(ficrespop,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm); */
                   7234: /*         }  */
                   7235: /*         for(j=1; j<=nlstate+ndeath;j++) { */
                   7236: /*           kk1=0.;kk2=0; */
                   7237: /*           for(i=1; i<=nlstate;i++) {               */
                   7238: /*             if (mobilav==1)  */
                   7239: /*               kk1=kk1+p3mat[i][j][h]*mobaverage[(int)agedeb+1][i][cptcod]; */
                   7240: /*             else { */
                   7241: /*               kk1=kk1+p3mat[i][j][h]*probs[(int)(agedeb+1)][i][cptcod]; */
                   7242: /*             } */
                   7243: /*           } */
                   7244: /*           if (h==(int)(calagedatem+12*cpt)){ */
                   7245: /*             tabpop[(int)(agedeb)][j][cptcod]=kk1; */
                   7246: /*             /\*fprintf(ficrespop," %.3f", kk1); */
                   7247: /*               if (popforecast==1) fprintf(ficrespop," [%.f]", kk1*popeffectif[(int)agedeb+1]);*\/ */
                   7248: /*           } */
                   7249: /*         } */
                   7250: /*         for(i=1; i<=nlstate;i++){ */
                   7251: /*           kk1=0.; */
                   7252: /*           for(j=1; j<=nlstate;j++){ */
                   7253: /*             kk1= kk1+tabpop[(int)(agedeb)][j][cptcod];  */
                   7254: /*           } */
                   7255: /*           tabpopprev[(int)(agedeb)][i][cptcod]=tabpop[(int)(agedeb)][i][cptcod]/kk1*popeffectif[(int)(agedeb+(calagedatem+12*cpt)*hstepm/YEARM*stepm-1)]; */
                   7256: /*         } */
1.218     brouard  7257:            
1.227     brouard  7258: /*         if (h==(int)(calagedatem+12*cpt)) */
                   7259: /*           for(j=1; j<=nlstate;j++)  */
                   7260: /*             fprintf(ficrespop," %15.2f",tabpopprev[(int)(agedeb+1)][j][cptcod]); */
                   7261: /*       } */
                   7262: /*       free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); */
                   7263: /*     } */
                   7264: /*       } */
1.218     brouard  7265:       
1.227     brouard  7266: /*       /\******\/ */
1.218     brouard  7267:       
1.227     brouard  7268: /*       for (cpt=1; cpt<=(anpyram1-anpyram);cpt++) {  */
                   7269: /*     fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);    */
                   7270: /*     for (agedeb=(fage-((int)calagedatem %12/12.)); agedeb>=(ageminpar-((int)calagedatem %12)/12.); agedeb--){  */
                   7271: /*       nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm);  */
                   7272: /*       nhstepm = nhstepm/hstepm;  */
1.126     brouard  7273:          
1.227     brouard  7274: /*       p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); */
                   7275: /*       oldm=oldms;savm=savms; */
                   7276: /*       hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);   */
                   7277: /*       for (h=0; h<=nhstepm; h++){ */
                   7278: /*         if (h==(int) (calagedatem+YEARM*cpt)) { */
                   7279: /*           fprintf(ficresf,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm); */
                   7280: /*         }  */
                   7281: /*         for(j=1; j<=nlstate+ndeath;j++) { */
                   7282: /*           kk1=0.;kk2=0; */
                   7283: /*           for(i=1; i<=nlstate;i++) {               */
                   7284: /*             kk1=kk1+p3mat[i][j][h]*tabpopprev[(int)agedeb+1][i][cptcod];     */
                   7285: /*           } */
                   7286: /*           if (h==(int)(calagedatem+12*cpt)) fprintf(ficresf," %15.2f", kk1);         */
                   7287: /*         } */
                   7288: /*       } */
                   7289: /*       free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); */
                   7290: /*     } */
                   7291: /*       } */
                   7292: /*     }  */
                   7293: /*   } */
1.218     brouard  7294:   
1.227     brouard  7295: /*   /\* if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); *\/ */
1.218     brouard  7296:   
1.227     brouard  7297: /*   if (popforecast==1) { */
                   7298: /*     free_ivector(popage,0,AGESUP); */
                   7299: /*     free_vector(popeffectif,0,AGESUP); */
                   7300: /*     free_vector(popcount,0,AGESUP); */
                   7301: /*   } */
                   7302: /*   free_ma3x(tabpop,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   7303: /*   free_ma3x(tabpopprev,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   7304: /*   fclose(ficrespop); */
                   7305: /* } /\* End of popforecast *\/ */
1.218     brouard  7306:  
1.126     brouard  7307: int fileappend(FILE *fichier, char *optionfich)
                   7308: {
                   7309:   if((fichier=fopen(optionfich,"a"))==NULL) {
                   7310:     printf("Problem with file: %s\n", optionfich);
                   7311:     fprintf(ficlog,"Problem with file: %s\n", optionfich);
                   7312:     return (0);
                   7313:   }
                   7314:   fflush(fichier);
                   7315:   return (1);
                   7316: }
                   7317: 
                   7318: 
                   7319: /**************** function prwizard **********************/
                   7320: void prwizard(int ncovmodel, int nlstate, int ndeath,  char model[], FILE *ficparo)
                   7321: {
                   7322: 
                   7323:   /* Wizard to print covariance matrix template */
                   7324: 
1.164     brouard  7325:   char ca[32], cb[32];
                   7326:   int i,j, k, li, lj, lk, ll, jj, npar, itimes;
1.126     brouard  7327:   int numlinepar;
                   7328: 
                   7329:   printf("# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   7330:   fprintf(ficparo,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   7331:   for(i=1; i <=nlstate; i++){
                   7332:     jj=0;
                   7333:     for(j=1; j <=nlstate+ndeath; j++){
                   7334:       if(j==i) continue;
                   7335:       jj++;
                   7336:       /*ca[0]= k+'a'-1;ca[1]='\0';*/
                   7337:       printf("%1d%1d",i,j);
                   7338:       fprintf(ficparo,"%1d%1d",i,j);
                   7339:       for(k=1; k<=ncovmodel;k++){
                   7340:        /*        printf(" %lf",param[i][j][k]); */
                   7341:        /*        fprintf(ficparo," %lf",param[i][j][k]); */
                   7342:        printf(" 0.");
                   7343:        fprintf(ficparo," 0.");
                   7344:       }
                   7345:       printf("\n");
                   7346:       fprintf(ficparo,"\n");
                   7347:     }
                   7348:   }
                   7349:   printf("# Scales (for hessian or gradient estimation)\n");
                   7350:   fprintf(ficparo,"# Scales (for hessian or gradient estimation)\n");
                   7351:   npar= (nlstate+ndeath-1)*nlstate*ncovmodel; /* Number of parameters*/ 
                   7352:   for(i=1; i <=nlstate; i++){
                   7353:     jj=0;
                   7354:     for(j=1; j <=nlstate+ndeath; j++){
                   7355:       if(j==i) continue;
                   7356:       jj++;
                   7357:       fprintf(ficparo,"%1d%1d",i,j);
                   7358:       printf("%1d%1d",i,j);
                   7359:       fflush(stdout);
                   7360:       for(k=1; k<=ncovmodel;k++){
                   7361:        /*      printf(" %le",delti3[i][j][k]); */
                   7362:        /*      fprintf(ficparo," %le",delti3[i][j][k]); */
                   7363:        printf(" 0.");
                   7364:        fprintf(ficparo," 0.");
                   7365:       }
                   7366:       numlinepar++;
                   7367:       printf("\n");
                   7368:       fprintf(ficparo,"\n");
                   7369:     }
                   7370:   }
                   7371:   printf("# Covariance matrix\n");
                   7372: /* # 121 Var(a12)\n\ */
                   7373: /* # 122 Cov(b12,a12) Var(b12)\n\ */
                   7374: /* # 131 Cov(a13,a12) Cov(a13,b12, Var(a13)\n\ */
                   7375: /* # 132 Cov(b13,a12) Cov(b13,b12, Cov(b13,a13) Var(b13)\n\ */
                   7376: /* # 212 Cov(a21,a12) Cov(a21,b12, Cov(a21,a13) Cov(a21,b13) Var(a21)\n\ */
                   7377: /* # 212 Cov(b21,a12) Cov(b21,b12, Cov(b21,a13) Cov(b21,b13) Cov(b21,a21) Var(b21)\n\ */
                   7378: /* # 232 Cov(a23,a12) Cov(a23,b12, Cov(a23,a13) Cov(a23,b13) Cov(a23,a21) Cov(a23,b21) Var(a23)\n\ */
                   7379: /* # 232 Cov(b23,a12) Cov(b23,b12) ... Var (b23)\n" */
                   7380:   fflush(stdout);
                   7381:   fprintf(ficparo,"# Covariance matrix\n");
                   7382:   /* # 121 Var(a12)\n\ */
                   7383:   /* # 122 Cov(b12,a12) Var(b12)\n\ */
                   7384:   /* #   ...\n\ */
                   7385:   /* # 232 Cov(b23,a12)  Cov(b23,b12) ... Var (b23)\n" */
                   7386:   
                   7387:   for(itimes=1;itimes<=2;itimes++){
                   7388:     jj=0;
                   7389:     for(i=1; i <=nlstate; i++){
                   7390:       for(j=1; j <=nlstate+ndeath; j++){
                   7391:        if(j==i) continue;
                   7392:        for(k=1; k<=ncovmodel;k++){
                   7393:          jj++;
                   7394:          ca[0]= k+'a'-1;ca[1]='\0';
                   7395:          if(itimes==1){
                   7396:            printf("#%1d%1d%d",i,j,k);
                   7397:            fprintf(ficparo,"#%1d%1d%d",i,j,k);
                   7398:          }else{
                   7399:            printf("%1d%1d%d",i,j,k);
                   7400:            fprintf(ficparo,"%1d%1d%d",i,j,k);
                   7401:            /*  printf(" %.5le",matcov[i][j]); */
                   7402:          }
                   7403:          ll=0;
                   7404:          for(li=1;li <=nlstate; li++){
                   7405:            for(lj=1;lj <=nlstate+ndeath; lj++){
                   7406:              if(lj==li) continue;
                   7407:              for(lk=1;lk<=ncovmodel;lk++){
                   7408:                ll++;
                   7409:                if(ll<=jj){
                   7410:                  cb[0]= lk +'a'-1;cb[1]='\0';
                   7411:                  if(ll<jj){
                   7412:                    if(itimes==1){
                   7413:                      printf(" Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   7414:                      fprintf(ficparo," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   7415:                    }else{
                   7416:                      printf(" 0.");
                   7417:                      fprintf(ficparo," 0.");
                   7418:                    }
                   7419:                  }else{
                   7420:                    if(itimes==1){
                   7421:                      printf(" Var(%s%1d%1d)",ca,i,j);
                   7422:                      fprintf(ficparo," Var(%s%1d%1d)",ca,i,j);
                   7423:                    }else{
                   7424:                      printf(" 0.");
                   7425:                      fprintf(ficparo," 0.");
                   7426:                    }
                   7427:                  }
                   7428:                }
                   7429:              } /* end lk */
                   7430:            } /* end lj */
                   7431:          } /* end li */
                   7432:          printf("\n");
                   7433:          fprintf(ficparo,"\n");
                   7434:          numlinepar++;
                   7435:        } /* end k*/
                   7436:       } /*end j */
                   7437:     } /* end i */
                   7438:   } /* end itimes */
                   7439: 
                   7440: } /* end of prwizard */
                   7441: /******************* Gompertz Likelihood ******************************/
                   7442: double gompertz(double x[])
                   7443: { 
                   7444:   double A,B,L=0.0,sump=0.,num=0.;
                   7445:   int i,n=0; /* n is the size of the sample */
                   7446: 
1.220     brouard  7447:   for (i=1;i<=imx ; i++) {
1.126     brouard  7448:     sump=sump+weight[i];
                   7449:     /*    sump=sump+1;*/
                   7450:     num=num+1;
                   7451:   }
                   7452:  
                   7453:  
                   7454:   /* for (i=0; i<=imx; i++) 
                   7455:      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]);*/
                   7456: 
                   7457:   for (i=1;i<=imx ; i++)
                   7458:     {
                   7459:       if (cens[i] == 1 && wav[i]>1)
                   7460:        A=-x[1]/(x[2])*(exp(x[2]*(agecens[i]-agegomp))-exp(x[2]*(ageexmed[i]-agegomp)));
                   7461:       
                   7462:       if (cens[i] == 0 && wav[i]>1)
                   7463:        A=-x[1]/(x[2])*(exp(x[2]*(agedc[i]-agegomp))-exp(x[2]*(ageexmed[i]-agegomp)))
                   7464:             +log(x[1]/YEARM)+x[2]*(agedc[i]-agegomp)+log(YEARM);  
                   7465:       
                   7466:       /*if (wav[i] > 1 && agecens[i] > 15) {*/ /* ??? */
                   7467:       if (wav[i] > 1 ) { /* ??? */
                   7468:        L=L+A*weight[i];
                   7469:        /*      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]);*/
                   7470:       }
                   7471:     }
                   7472: 
                   7473:  /*printf("x1=%2.9f x2=%2.9f x3=%2.9f L=%f\n",x[1],x[2],x[3],L);*/
                   7474:  
                   7475:   return -2*L*num/sump;
                   7476: }
                   7477: 
1.136     brouard  7478: #ifdef GSL
                   7479: /******************* Gompertz_f Likelihood ******************************/
                   7480: double gompertz_f(const gsl_vector *v, void *params)
                   7481: { 
                   7482:   double A,B,LL=0.0,sump=0.,num=0.;
                   7483:   double *x= (double *) v->data;
                   7484:   int i,n=0; /* n is the size of the sample */
                   7485: 
                   7486:   for (i=0;i<=imx-1 ; i++) {
                   7487:     sump=sump+weight[i];
                   7488:     /*    sump=sump+1;*/
                   7489:     num=num+1;
                   7490:   }
                   7491:  
                   7492:  
                   7493:   /* for (i=0; i<=imx; i++) 
                   7494:      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]);*/
                   7495:   printf("x[0]=%lf x[1]=%lf\n",x[0],x[1]);
                   7496:   for (i=1;i<=imx ; i++)
                   7497:     {
                   7498:       if (cens[i] == 1 && wav[i]>1)
                   7499:        A=-x[0]/(x[1])*(exp(x[1]*(agecens[i]-agegomp))-exp(x[1]*(ageexmed[i]-agegomp)));
                   7500:       
                   7501:       if (cens[i] == 0 && wav[i]>1)
                   7502:        A=-x[0]/(x[1])*(exp(x[1]*(agedc[i]-agegomp))-exp(x[1]*(ageexmed[i]-agegomp)))
                   7503:             +log(x[0]/YEARM)+x[1]*(agedc[i]-agegomp)+log(YEARM);  
                   7504:       
                   7505:       /*if (wav[i] > 1 && agecens[i] > 15) {*/ /* ??? */
                   7506:       if (wav[i] > 1 ) { /* ??? */
                   7507:        LL=LL+A*weight[i];
                   7508:        /*      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]);*/
                   7509:       }
                   7510:     }
                   7511: 
                   7512:  /*printf("x1=%2.9f x2=%2.9f x3=%2.9f L=%f\n",x[1],x[2],x[3],L);*/
                   7513:   printf("x[0]=%lf x[1]=%lf -2*LL*num/sump=%lf\n",x[0],x[1],-2*LL*num/sump);
                   7514:  
                   7515:   return -2*LL*num/sump;
                   7516: }
                   7517: #endif
                   7518: 
1.126     brouard  7519: /******************* Printing html file ***********/
1.201     brouard  7520: void printinghtmlmort(char fileresu[], char title[], char datafile[], int firstpass, \
1.126     brouard  7521:                  int lastpass, int stepm, int weightopt, char model[],\
                   7522:                  int imx,  double p[],double **matcov,double agemortsup){
                   7523:   int i,k;
                   7524: 
                   7525:   fprintf(fichtm,"<ul><li><h4>Result files </h4>\n Force of mortality. Parameters of the Gompertz fit (with confidence interval in brackets):<br>");
                   7526:   fprintf(fichtm,"  mu(age) =%lf*exp(%lf*(age-%d)) per year<br><br>",p[1],p[2],agegomp);
                   7527:   for (i=1;i<=2;i++) 
                   7528:     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  7529:   fprintf(fichtm,"<br><br><img src=\"graphmort.svg\">");
1.126     brouard  7530:   fprintf(fichtm,"</ul>");
                   7531: 
                   7532: fprintf(fichtm,"<ul><li><h4>Life table</h4>\n <br>");
                   7533: 
                   7534:  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>");
                   7535: 
                   7536:  for (k=agegomp;k<(agemortsup-2);k++) 
                   7537:    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]);
                   7538: 
                   7539:  
                   7540:   fflush(fichtm);
                   7541: }
                   7542: 
                   7543: /******************* Gnuplot file **************/
1.201     brouard  7544: void printinggnuplotmort(char fileresu[], char optionfilefiname[], double ageminpar, double agemaxpar, double fage , char pathc[], double p[]){
1.126     brouard  7545: 
                   7546:   char dirfileres[132],optfileres[132];
1.164     brouard  7547: 
1.126     brouard  7548:   int ng;
                   7549: 
                   7550: 
                   7551:   /*#ifdef windows */
                   7552:   fprintf(ficgp,"cd \"%s\" \n",pathc);
                   7553:     /*#endif */
                   7554: 
                   7555: 
                   7556:   strcpy(dirfileres,optionfilefiname);
                   7557:   strcpy(optfileres,"vpl");
1.199     brouard  7558:   fprintf(ficgp,"set out \"graphmort.svg\"\n "); 
1.126     brouard  7559:   fprintf(ficgp,"set xlabel \"Age\"\n set ylabel \"Force of mortality (per year)\" \n "); 
1.199     brouard  7560:   fprintf(ficgp, "set ter svg size 640, 480\n set log y\n"); 
1.145     brouard  7561:   /* fprintf(ficgp, "set size 0.65,0.65\n"); */
1.126     brouard  7562:   fprintf(ficgp,"plot [%d:100] %lf*exp(%lf*(x-%d))",agegomp,p[1],p[2],agegomp);
                   7563: 
                   7564: } 
                   7565: 
1.136     brouard  7566: int readdata(char datafile[], int firstobs, int lastobs, int *imax)
                   7567: {
1.126     brouard  7568: 
1.136     brouard  7569:   /*-------- data file ----------*/
                   7570:   FILE *fic;
                   7571:   char dummy[]="                         ";
1.223     brouard  7572:   int i=0, j=0, n=0, iv=0;
                   7573:   int lstra;
1.136     brouard  7574:   int linei, month, year,iout;
                   7575:   char line[MAXLINE], linetmp[MAXLINE];
1.164     brouard  7576:   char stra[MAXLINE], strb[MAXLINE];
1.136     brouard  7577:   char *stratrunc;
1.223     brouard  7578: 
1.126     brouard  7579: 
                   7580: 
1.136     brouard  7581:   if((fic=fopen(datafile,"r"))==NULL)    {
1.218     brouard  7582:     printf("Problem while opening datafile: %s with errno='%s'\n", datafile,strerror(errno));fflush(stdout);
                   7583:     fprintf(ficlog,"Problem while opening datafile: %s with errno='%s'\n", datafile,strerror(errno));fflush(ficlog);return 1;
1.136     brouard  7584:   }
1.126     brouard  7585: 
1.136     brouard  7586:   i=1;
                   7587:   linei=0;
                   7588:   while ((fgets(line, MAXLINE, fic) != NULL) &&((i >= firstobs) && (i <=lastobs))) {
                   7589:     linei=linei+1;
                   7590:     for(j=strlen(line); j>=0;j--){  /* Untabifies line */
                   7591:       if(line[j] == '\t')
                   7592:        line[j] = ' ';
                   7593:     }
                   7594:     for(j=strlen(line)-1; (line[j]==' ')||(line[j]==10)||(line[j]==13);j--){
                   7595:       ;
                   7596:     };
                   7597:     line[j+1]=0;  /* Trims blanks at end of line */
                   7598:     if(line[0]=='#'){
                   7599:       fprintf(ficlog,"Comment line\n%s\n",line);
                   7600:       printf("Comment line\n%s\n",line);
                   7601:       continue;
                   7602:     }
                   7603:     trimbb(linetmp,line); /* Trims multiple blanks in line */
1.164     brouard  7604:     strcpy(line, linetmp);
1.223     brouard  7605:     
                   7606:     /* Loops on waves */
                   7607:     for (j=maxwav;j>=1;j--){
                   7608:       for (iv=nqtv;iv>=1;iv--){  /* Loop  on time varying quantitative variables */
1.232     brouard  7609:                                cutv(stra, strb, line, ' '); 
                   7610:                                if(strb[0]=='.') { /* Missing value */
                   7611:                                        lval=-1;
                   7612:                                        cotqvar[j][iv][i]=-1; /* 0.0/0.0 */
                   7613:                                        cotvar[j][ntv+iv][i]=-1; /* For performance reasons */
                   7614:                                        if(isalpha(strb[1])) { /* .m or .d Really Missing value */
                   7615:                                                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);
                   7616:                                                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);
                   7617:                                                return 1;
                   7618:                                        }
                   7619:                                }else{
                   7620:                                        errno=0;
                   7621:                                        /* what_kind_of_number(strb); */
                   7622:                                        dval=strtod(strb,&endptr); 
                   7623:                                        /* if( strb[0]=='\0' || (*endptr != '\0')){ */
                   7624:                                        /* if(strb != endptr && *endptr == '\0') */
                   7625:                                        /*    dval=dlval; */
                   7626:                                        /* if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN)) */
                   7627:                                        if( strb[0]=='\0' || (*endptr != '\0')){
                   7628:                                                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);
                   7629:                                                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);
                   7630:                                                return 1;
                   7631:                                        }
                   7632:                                        cotqvar[j][iv][i]=dval; 
                   7633:                                        cotvar[j][ntv+iv][i]=dval; 
                   7634:                                }
                   7635:                                strcpy(line,stra);
1.223     brouard  7636:       }/* end loop ntqv */
1.225     brouard  7637:       
1.223     brouard  7638:       for (iv=ntv;iv>=1;iv--){  /* Loop  on time varying dummies */
1.232     brouard  7639:                                cutv(stra, strb, line, ' '); 
                   7640:                                if(strb[0]=='.') { /* Missing value */
                   7641:                                        lval=-1;
                   7642:                                }else{
                   7643:                                        errno=0;
                   7644:                                        lval=strtol(strb,&endptr,10); 
                   7645:                                        /*      if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN))*/
                   7646:                                        if( strb[0]=='\0' || (*endptr != '\0')){
                   7647:                                                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);
                   7648:                                                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);
                   7649:                                                return 1;
                   7650:                                        }
                   7651:                                }
                   7652:                                if(lval <-1 || lval >1){
                   7653:                                        printf("Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
1.223     brouard  7654:  Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
                   7655:  for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
1.232     brouard  7656:  For example, for multinomial values like 1, 2 and 3,\n                                                                        \
                   7657:  build V1=0 V2=0 for the reference value (1),\n                                                                                                        \
                   7658:         V1=1 V2=0 for (2) \n                                                                                                                                                                           \
1.223     brouard  7659:  and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
1.232     brouard  7660:  output of IMaCh is often meaningless.\n                                                                                                                               \
1.223     brouard  7661:  Exiting.\n",lval,linei, i,line,j);
1.232     brouard  7662:                                        fprintf(ficlog,"Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
1.223     brouard  7663:  Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
                   7664:  for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
1.232     brouard  7665:  For example, for multinomial values like 1, 2 and 3,\n                                                                        \
                   7666:  build V1=0 V2=0 for the reference value (1),\n                                                                                                        \
                   7667:         V1=1 V2=0 for (2) \n                                                                                                                                                                           \
1.223     brouard  7668:  and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
1.232     brouard  7669:  output of IMaCh is often meaningless.\n                                                                                                                               \
1.223     brouard  7670:  Exiting.\n",lval,linei, i,line,j);fflush(ficlog);
1.232     brouard  7671:                                        return 1;
                   7672:                                }
                   7673:                                cotvar[j][iv][i]=(double)(lval);
                   7674:                                strcpy(line,stra);
1.223     brouard  7675:       }/* end loop ntv */
1.225     brouard  7676:       
1.223     brouard  7677:       /* Statuses  at wave */
1.137     brouard  7678:       cutv(stra, strb, line, ' '); 
1.223     brouard  7679:       if(strb[0]=='.') { /* Missing value */
1.232     brouard  7680:                                lval=-1;
1.136     brouard  7681:       }else{
1.232     brouard  7682:                                errno=0;
                   7683:                                lval=strtol(strb,&endptr,10); 
                   7684:                                /*      if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN))*/
                   7685:                                if( strb[0]=='\0' || (*endptr != '\0')){
                   7686:                                        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);
                   7687:                                        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);
                   7688:                                        return 1;
                   7689:                                }
1.136     brouard  7690:       }
1.225     brouard  7691:       
1.136     brouard  7692:       s[j][i]=lval;
1.225     brouard  7693:       
1.223     brouard  7694:       /* Date of Interview */
1.136     brouard  7695:       strcpy(line,stra);
                   7696:       cutv(stra, strb,line,' ');
1.169     brouard  7697:       if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
1.136     brouard  7698:       }
1.169     brouard  7699:       else  if( (iout=sscanf(strb,"%s.",dummy)) != 0){
1.225     brouard  7700:        month=99;
                   7701:        year=9999;
1.136     brouard  7702:       }else{
1.225     brouard  7703:        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);
                   7704:        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);
                   7705:        return 1;
1.136     brouard  7706:       }
                   7707:       anint[j][i]= (double) year; 
                   7708:       mint[j][i]= (double)month; 
                   7709:       strcpy(line,stra);
1.223     brouard  7710:     } /* End loop on waves */
1.225     brouard  7711:     
1.223     brouard  7712:     /* Date of death */
1.136     brouard  7713:     cutv(stra, strb,line,' '); 
1.169     brouard  7714:     if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
1.136     brouard  7715:     }
1.169     brouard  7716:     else  if( (iout=sscanf(strb,"%s.",dummy)) != 0){
1.136     brouard  7717:       month=99;
                   7718:       year=9999;
                   7719:     }else{
1.141     brouard  7720:       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  7721:       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);
                   7722:       return 1;
1.136     brouard  7723:     }
                   7724:     andc[i]=(double) year; 
                   7725:     moisdc[i]=(double) month; 
                   7726:     strcpy(line,stra);
                   7727:     
1.223     brouard  7728:     /* Date of birth */
1.136     brouard  7729:     cutv(stra, strb,line,' '); 
1.169     brouard  7730:     if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
1.136     brouard  7731:     }
1.169     brouard  7732:     else  if( (iout=sscanf(strb,"%s.", dummy)) != 0){
1.136     brouard  7733:       month=99;
                   7734:       year=9999;
                   7735:     }else{
1.141     brouard  7736:       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);
                   7737:       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  7738:       return 1;
1.136     brouard  7739:     }
                   7740:     if (year==9999) {
1.141     brouard  7741:       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);
                   7742:       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  7743:       return 1;
                   7744:       
1.136     brouard  7745:     }
                   7746:     annais[i]=(double)(year);
                   7747:     moisnais[i]=(double)(month); 
                   7748:     strcpy(line,stra);
1.225     brouard  7749:     
1.223     brouard  7750:     /* Sample weight */
1.136     brouard  7751:     cutv(stra, strb,line,' '); 
                   7752:     errno=0;
                   7753:     dval=strtod(strb,&endptr); 
                   7754:     if( strb[0]=='\0' || (*endptr != '\0')){
1.141     brouard  7755:       printf("Error reading data around '%f' at line number %d, \"%s\" for individual %d\nShould be a weight.  Exiting.\n",dval, i,line,linei);
                   7756:       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  7757:       fflush(ficlog);
                   7758:       return 1;
                   7759:     }
                   7760:     weight[i]=dval; 
                   7761:     strcpy(line,stra);
1.225     brouard  7762:     
1.223     brouard  7763:     for (iv=nqv;iv>=1;iv--){  /* Loop  on fixed quantitative variables */
                   7764:       cutv(stra, strb, line, ' '); 
                   7765:       if(strb[0]=='.') { /* Missing value */
1.225     brouard  7766:        lval=-1;
1.223     brouard  7767:       }else{
1.225     brouard  7768:        errno=0;
                   7769:        /* what_kind_of_number(strb); */
                   7770:        dval=strtod(strb,&endptr);
                   7771:        /* if(strb != endptr && *endptr == '\0') */
                   7772:        /*   dval=dlval; */
                   7773:        /* if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN)) */
                   7774:        if( strb[0]=='\0' || (*endptr != '\0')){
                   7775:          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);
                   7776:          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);
                   7777:          return 1;
                   7778:        }
                   7779:        coqvar[iv][i]=dval; 
1.226     brouard  7780:        covar[ncovcol+iv][i]=dval; /* including qvar in standard covar for performance reasons */ 
1.223     brouard  7781:       }
                   7782:       strcpy(line,stra);
                   7783:     }/* end loop nqv */
1.136     brouard  7784:     
1.223     brouard  7785:     /* Covariate values */
1.136     brouard  7786:     for (j=ncovcol;j>=1;j--){
                   7787:       cutv(stra, strb,line,' '); 
1.223     brouard  7788:       if(strb[0]=='.') { /* Missing covariate value */
1.225     brouard  7789:        lval=-1;
1.136     brouard  7790:       }else{
1.225     brouard  7791:        errno=0;
                   7792:        lval=strtol(strb,&endptr,10); 
                   7793:        if( strb[0]=='\0' || (*endptr != '\0')){
                   7794:          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);
                   7795:          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);
                   7796:          return 1;
                   7797:        }
1.136     brouard  7798:       }
                   7799:       if(lval <-1 || lval >1){
1.225     brouard  7800:        printf("Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
1.136     brouard  7801:  Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
                   7802:  for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
1.225     brouard  7803:  For example, for multinomial values like 1, 2 and 3,\n                        \
                   7804:  build V1=0 V2=0 for the reference value (1),\n                                \
                   7805:         V1=1 V2=0 for (2) \n                                           \
1.136     brouard  7806:  and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
1.225     brouard  7807:  output of IMaCh is often meaningless.\n                               \
1.136     brouard  7808:  Exiting.\n",lval,linei, i,line,j);
1.225     brouard  7809:        fprintf(ficlog,"Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
1.136     brouard  7810:  Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
                   7811:  for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
1.225     brouard  7812:  For example, for multinomial values like 1, 2 and 3,\n                        \
                   7813:  build V1=0 V2=0 for the reference value (1),\n                                \
                   7814:         V1=1 V2=0 for (2) \n                                           \
1.136     brouard  7815:  and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
1.225     brouard  7816:  output of IMaCh is often meaningless.\n                               \
1.136     brouard  7817:  Exiting.\n",lval,linei, i,line,j);fflush(ficlog);
1.225     brouard  7818:        return 1;
1.136     brouard  7819:       }
                   7820:       covar[j][i]=(double)(lval);
                   7821:       strcpy(line,stra);
                   7822:     }  
                   7823:     lstra=strlen(stra);
1.225     brouard  7824:     
1.136     brouard  7825:     if(lstra > 9){ /* More than 2**32 or max of what printf can write with %ld */
                   7826:       stratrunc = &(stra[lstra-9]);
                   7827:       num[i]=atol(stratrunc);
                   7828:     }
                   7829:     else
                   7830:       num[i]=atol(stra);
                   7831:     /*if((s[2][i]==2) && (s[3][i]==-1)&&(s[4][i]==9)){
                   7832:       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;}*/
                   7833:     
                   7834:     i=i+1;
                   7835:   } /* End loop reading  data */
1.225     brouard  7836:   
1.136     brouard  7837:   *imax=i-1; /* Number of individuals */
                   7838:   fclose(fic);
1.225     brouard  7839:   
1.136     brouard  7840:   return (0);
1.164     brouard  7841:   /* endread: */
1.225     brouard  7842:   printf("Exiting readdata: ");
                   7843:   fclose(fic);
                   7844:   return (1);
1.223     brouard  7845: }
1.126     brouard  7846: 
1.230     brouard  7847: void removespace(char **stri){/*, char stro[]) {*/
                   7848:   char *p1 = *stri, *p2 = *stri;
1.145     brouard  7849:   do
                   7850:     while (*p2 == ' ')
                   7851:       p2++;
1.169     brouard  7852:   while (*p1++ == *p2++);
1.230     brouard  7853:   *stri=p1; 
1.145     brouard  7854: }
                   7855: 
1.230     brouard  7856: int decoderesult ( char resultline[])
                   7857: /**< This routine decode one result line and returns the combination # of dummy covariates only **/
                   7858: {
                   7859:   int j=0, k=0;
                   7860:   char resultsav[MAXLINE];
                   7861:   char stra[80], strb[80], strc[80], strd[80],stre[80];
                   7862: 
                   7863:   removespace(&resultline);
1.233   ! brouard  7864:   printf("decoderesult:%s\n",resultline);
1.230     brouard  7865: 
                   7866:   if (strstr(resultline,"v") !=0){
                   7867:     printf("Error. 'v' must be in upper case 'V' result: %s ",resultline);
                   7868:     fprintf(ficlog,"Error. 'v' must be in upper case result: %s ",resultline);fflush(ficlog);
                   7869:     return 1;
                   7870:   }
                   7871:   trimbb(resultsav, resultline);
                   7872:   if (strlen(resultsav) >1){
                   7873:     j=nbocc(resultsav,'='); /**< j=Number of covariate values'=' */
                   7874:   }
                   7875: 
                   7876:   for(k=1; k<=j;k++){ /* Loop on total covariates of the model */
                   7877:     cutl(stra,strb,resultsav,' '); /* keeps in strb after the first ' ' 
                   7878:                                     resultsav= V4=1 V5=25.1 V3=0 strb=V3=0 stra= V4=1 V5=25.1 */
                   7879:     cutl(strc,strd,strb,'=');  /* strb:V4=1 strc=1 strd=V4 */
                   7880:     Tvalsel[k]=atof(strc); /* 1 */
                   7881: 
                   7882:     cutl(strc,stre,strd,'V'); /* strd='V4' strc=4 stre='V' */;
                   7883:     Tvarsel[k]=atoi(strc);
                   7884:     /* Typevarsel[k]=1;  /\* 1 for age product *\/ */
                   7885:     /* cptcovsel++;     */
                   7886:     if (nbocc(stra,'=') >0)
                   7887:       strcpy(resultsav,stra); /* and analyzes it */
                   7888:   }
                   7889:   return (0);
                   7890: }
                   7891: int selected( int kvar){ /* Selected combination of covariates */
                   7892:   if(Tvarsel[kvar])
                   7893:     return (0);
                   7894:   else
                   7895:     return(1);
                   7896: }
                   7897: int decodemodel( char model[], int lastobs)
                   7898:  /**< This routine decodes the model and returns:
1.224     brouard  7899:        * Model  V1+V2+V3+V8+V7*V8+V5*V6+V8*age+V3*age+age*age
                   7900:        * - nagesqr = 1 if age*age in the model, otherwise 0.
                   7901:        * - cptcovt total number of covariates of the model nbocc(+)+1 = 8 excepting constant and age and age*age
                   7902:        * - cptcovn or number of covariates k of the models excluding age*products =6 and age*age
                   7903:        * - cptcovage number of covariates with age*products =2
                   7904:        * - cptcovs number of simple covariates
                   7905:        * - 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
                   7906:        *     which is a new column after the 9 (ncovcol) variables. 
                   7907:        * - if k is a product Vn*Vm covar[k][i] is filled with correct values for each individual
                   7908:        * - Tprod[l] gives the kth covariates of the product Vn*Vm l=1 to cptcovprod-cptcovage
                   7909:        *    Tprod[1]@2 {5, 6}: position of first product V7*V8 is 5, and second V5*V6 is 6.
                   7910:        * - Tvard[k]  p Tvard[1][1]@4 {7, 8, 5, 6} for V7*V8 and V5*V6 .
                   7911:        */
1.136     brouard  7912: {
1.145     brouard  7913:   int i, j, k, ks;
1.227     brouard  7914:   int  j1, k1, k2, k3, k4;
1.136     brouard  7915:   char modelsav[80];
1.145     brouard  7916:   char stra[80], strb[80], strc[80], strd[80],stre[80];
1.187     brouard  7917:   char *strpt;
1.136     brouard  7918: 
1.145     brouard  7919:   /*removespace(model);*/
1.136     brouard  7920:   if (strlen(model) >1){ /* If there is at least 1 covariate */
1.145     brouard  7921:     j=0, j1=0, k1=0, k2=-1, ks=0, cptcovn=0;
1.137     brouard  7922:     if (strstr(model,"AGE") !=0){
1.192     brouard  7923:       printf("Error. AGE must be in lower case 'age' model=1+age+%s. ",model);
                   7924:       fprintf(ficlog,"Error. AGE must be in lower case model=1+age+%s. ",model);fflush(ficlog);
1.136     brouard  7925:       return 1;
                   7926:     }
1.141     brouard  7927:     if (strstr(model,"v") !=0){
                   7928:       printf("Error. 'v' must be in upper case 'V' model=%s ",model);
                   7929:       fprintf(ficlog,"Error. 'v' must be in upper case model=%s ",model);fflush(ficlog);
                   7930:       return 1;
                   7931:     }
1.187     brouard  7932:     strcpy(modelsav,model); 
                   7933:     if ((strpt=strstr(model,"age*age")) !=0){
                   7934:       printf(" strpt=%s, model=%s\n",strpt, model);
                   7935:       if(strpt != model){
1.231     brouard  7936:                                printf("Error in model: 'model=%s'; 'age*age' should in first place before other covariates\n \
1.192     brouard  7937:  'model=1+age+age*age+V1.' or 'model=1+age+age*age+V1+V1*age.', please swap as well as \n \
1.187     brouard  7938:  corresponding column of parameters.\n",model);
1.231     brouard  7939:                                fprintf(ficlog,"Error in model: 'model=%s'; 'age*age' should in first place before other covariates\n \
1.192     brouard  7940:  'model=1+age+age*age+V1.' or 'model=1+age+age*age+V1+V1*age.', please swap as well as \n \
1.187     brouard  7941:  corresponding column of parameters.\n",model); fflush(ficlog);
1.231     brouard  7942:                                return 1;
1.225     brouard  7943:       }
1.187     brouard  7944:       nagesqr=1;
                   7945:       if (strstr(model,"+age*age") !=0)
1.231     brouard  7946:                                substrchaine(modelsav, model, "+age*age");
1.187     brouard  7947:       else if (strstr(model,"age*age+") !=0)
1.231     brouard  7948:                                substrchaine(modelsav, model, "age*age+");
1.187     brouard  7949:       else 
1.231     brouard  7950:                                substrchaine(modelsav, model, "age*age");
1.187     brouard  7951:     }else
                   7952:       nagesqr=0;
                   7953:     if (strlen(modelsav) >1){
                   7954:       j=nbocc(modelsav,'+'); /**< j=Number of '+' */
                   7955:       j1=nbocc(modelsav,'*'); /**< j1=Number of '*' */
1.224     brouard  7956:       cptcovs=j+1-j1; /**<  Number of simple covariates V1+V1*age+V3 +V3*V4+age*age=> V1 + V3 =5-3=2  */
1.187     brouard  7957:       cptcovt= j+1; /* Number of total covariates in the model, not including
1.225     brouard  7958:                     * cst, age and age*age 
                   7959:                     * V1+V1*age+ V3 + V3*V4+age*age=> 3+1=4*/
                   7960:       /* including age products which are counted in cptcovage.
                   7961:        * but the covariates which are products must be treated 
                   7962:        * separately: ncovn=4- 2=2 (V1+V3). */
1.187     brouard  7963:       cptcovprod=j1; /**< Number of products  V1*V2 +v3*age = 2 */
                   7964:       cptcovprodnoage=0; /**< Number of covariate products without age: V3*V4 =1  */
1.225     brouard  7965:       
                   7966:       
1.187     brouard  7967:       /*   Design
                   7968:        *  V1   V2   V3   V4  V5  V6  V7  V8  V9 Weight
                   7969:        *  <          ncovcol=8                >
                   7970:        * Model V2 + V1 + V3*age + V3 + V5*V6 + V7*V8 + V8*age + V8
                   7971:        *   k=  1    2      3       4     5       6      7        8
                   7972:        *  cptcovn number of covariates (not including constant and age ) = # of + plus 1 = 7+1=8
                   7973:        *  covar[k,i], value of kth covariate if not including age for individual i:
1.224     brouard  7974:        *       covar[1][i]= (V1), covar[4][i]=(V4), covar[8][i]=(V8)
                   7975:        *  Tvar[k] # of the kth covariate:  Tvar[1]=2  Tvar[2]=1 Tvar[4]=3 Tvar[8]=8
1.187     brouard  7976:        *       if multiplied by age: V3*age Tvar[3=V3*age]=3 (V3) Tvar[7]=8 and 
                   7977:        *  Tage[++cptcovage]=k
                   7978:        *       if products, new covar are created after ncovcol with k1
                   7979:        *  Tvar[k]=ncovcol+k1; # of the kth covariate product:  Tvar[5]=ncovcol+1=10  Tvar[6]=ncovcol+1=11
                   7980:        *  Tprod[k1]=k; Tprod[1]=5 Tprod[2]= 6; gives the position of the k1th product
                   7981:        *  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
                   7982:        *  Tvar[cptcovn+k2]=Tvard[k1][1];Tvar[cptcovn+k2+1]=Tvard[k1][2];
                   7983:        *  Tvar[8+1]=5;Tvar[8+2]=6;Tvar[8+3]=7;Tvar[8+4]=8 inverted
                   7984:        *  V1   V2   V3   V4  V5  V6  V7  V8  V9  V10  V11
                   7985:        *  <          ncovcol=8                >
                   7986:        *       Model V2 + V1 + V3*age + V3 + V5*V6 + V7*V8 + V8*age + V8    d1   d1   d2  d2
                   7987:        *          k=  1    2      3       4     5       6      7        8    9   10   11  12
                   7988:        *     Tvar[k]= 2    1      3       3    10      11      8        8    5    6    7   8
                   7989:        * p Tvar[1]@12={2,   1,     3,      3,   11,     10,     8,       8,   7,   8,   5,  6}
                   7990:        * p Tprod[1]@2={                         6, 5}
                   7991:        *p Tvard[1][1]@4= {7, 8, 5, 6}
                   7992:        * covar[k][i]= V2   V1      ?      V3    V5*V6?   V7*V8?  ?       V8   
                   7993:        *  cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
                   7994:        *How to reorganize?
                   7995:        * Model V1 + V2 + V3 + V8 + V5*V6 + V7*V8 + V3*age + V8*age
                   7996:        * Tvars {2,   1,     3,      3,   11,     10,     8,       8,   7,   8,   5,  6}
                   7997:        *       {2,   1,     4,      8,    5,      6,     3,       7}
                   7998:        * Struct []
                   7999:        */
1.225     brouard  8000:       
1.187     brouard  8001:       /* This loop fills the array Tvar from the string 'model'.*/
                   8002:       /* j is the number of + signs in the model V1+V2+V3 j=2 i=3 to 1 */
                   8003:       /*   modelsav=V2+V1+V4+age*V3 strb=age*V3 stra=V2+V1+V4  */
                   8004:       /*       k=4 (age*V3) Tvar[k=4]= 3 (from V3) Tage[cptcovage=1]=4 */
                   8005:       /*       k=3 V4 Tvar[k=3]= 4 (from V4) */
                   8006:       /*       k=2 V1 Tvar[k=2]= 1 (from V1) */
                   8007:       /*       k=1 Tvar[1]=2 (from V2) */
                   8008:       /*       k=5 Tvar[5] */
                   8009:       /* for (k=1; k<=cptcovn;k++) { */
1.198     brouard  8010:       /*       cov[2+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
1.187     brouard  8011:       /*       } */
1.198     brouard  8012:       /* for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,Tvar[Tage[k])]]*cov[2]; */
1.187     brouard  8013:       /*
                   8014:        * Treating invertedly V2+V1+V3*age+V2*V4 is as if written V2*V4 +V3*age + V1 + V2 */
1.227     brouard  8015:       for(k=cptcovt; k>=1;k--){ /**< Number of covariates not including constant and age, neither age*age*/
                   8016:         Tvar[k]=0; Tprod[k]=0; Tposprod[k]=0;
                   8017:       }
1.187     brouard  8018:       cptcovage=0;
                   8019:       for(k=1; k<=cptcovt;k++){ /* Loop on total covariates of the model */
1.232     brouard  8020:                                cutl(stra,strb,modelsav,'+'); /* keeps in strb after the first '+' 
1.225     brouard  8021:                                         modelsav==V2+V1+V4+V3*age strb=V3*age stra=V2+V1+V4 */ 
1.232     brouard  8022:                                if (nbocc(modelsav,'+')==0) strcpy(strb,modelsav); /* and analyzes it */
                   8023:                                /*      printf("i=%d a=%s b=%s sav=%s\n",i, stra,strb,modelsav);*/
                   8024:                                /*scanf("%d",i);*/
                   8025:                                if (strchr(strb,'*')) {  /**< Model includes a product V2+V1+V4+V3*age strb=V3*age */
                   8026:                                        cutl(strc,strd,strb,'*'); /**< strd*strc  Vm*Vn: strb=V3*age(input) strc=age strd=V3 ; V3*V2 strc=V2, strd=V3 */
                   8027:                                        if (strcmp(strc,"age")==0) { /**< Model includes age: Vn*age */
                   8028:                                                /* covar is not filled and then is empty */
                   8029:                                                cptcovprod--;
                   8030:                                                cutl(stre,strb,strd,'V'); /* strd=V3(input): stre="3" */
                   8031:                                                Tvar[k]=atoi(stre);  /* V2+V1+V4+V3*age Tvar[4]=3 ; V1+V2*age Tvar[2]=2; V1+V1*age Tvar[2]=1 */
                   8032:                                                Typevar[k]=1;  /* 1 for age product */
                   8033:                                                cptcovage++; /* Sums the number of covariates which include age as a product */
                   8034:                                                Tage[cptcovage]=k;  /* Tvar[4]=3, Tage[1] = 4 or V1+V1*age Tvar[2]=1, Tage[1]=2 */
                   8035:                                                /*printf("stre=%s ", stre);*/
                   8036:                                        } else if (strcmp(strd,"age")==0) { /* or age*Vn */
                   8037:                                                cptcovprod--;
                   8038:                                                cutl(stre,strb,strc,'V');
                   8039:                                                Tvar[k]=atoi(stre);
                   8040:                                                Typevar[k]=1;  /* 1 for age product */
                   8041:                                                cptcovage++;
                   8042:                                                Tage[cptcovage]=k;
                   8043:                                        } else {  /* Age is not in the model product V2+V1+V1*V4+V3*age+V3*V2  strb=V3*V2*/
                   8044:                                                /* loops on k1=1 (V3*V2) and k1=2 V4*V3 */
                   8045:                                                cptcovn++;
                   8046:                                                cptcovprodnoage++;k1++;
                   8047:                                                cutl(stre,strb,strc,'V'); /* strc= Vn, stre is n; strb=V3*V2 stre=3 strc=*/
                   8048:                                                Tvar[k]=ncovcol+nqv+ntv+nqtv+k1; /* For model-covariate k tells which data-covariate to use but
                   8049:                                                                                                                                                                                                because this model-covariate is a construction we invent a new column
                   8050:                                                                                                                                                                                                which is after existing variables ncovcol+nqv+ntv+nqtv + k1
                   8051:                                                                                                                                                                                                If already ncovcol=4 and model=V2+V1+V1*V4+age*V3+V3*V2
                   8052:                                                                                                                                                                                                Tvar[3=V1*V4]=4+1 Tvar[5=V3*V2]=4 + 2= 6, etc */
                   8053:                                                Typevar[k]=2;  /* 2 for double fixed dummy covariates */
                   8054:                                                cutl(strc,strb,strd,'V'); /* strd was Vm, strc is m */
                   8055:                                                Tprod[k1]=k;  /* Tprod[1]=3(=V1*V4) for V2+V1+V1*V4+age*V3+V3*V2  */
                   8056:                                                Tposprod[k]=k1; /* Tpsprod[3]=1, Tposprod[2]=5 */
                   8057:                                                Tvard[k1][1] =atoi(strc); /* m 1 for V1*/
                   8058:                                                Tvard[k1][2] =atoi(stre); /* n 4 for V4*/
                   8059:                                                k2=k2+2;  /* k2 is initialize to -1, We want to store the n and m in Vn*Vm at the end of Tvar */
                   8060:                                                /* Tvar[cptcovt+k2]=Tvard[k1][1]; /\* Tvar[(cptcovt=4+k2=1)=5]= 1 (V1) *\/ */
                   8061:                                                /* Tvar[cptcovt+k2+1]=Tvard[k1][2];  /\* Tvar[(cptcovt=4+(k2=1)+1)=6]= 4 (V4) *\/ */
1.225     brouard  8062:             /*ncovcol=4 and model=V2+V1+V1*V4+age*V3+V3*V2, Tvar[3]=5, Tvar[4]=6, cptcovt=5 */
1.232     brouard  8063:                                                /*                     1  2   3      4     5 | Tvar[5+1)=1, Tvar[7]=2   */
                   8064:                                                for (i=1; i<=lastobs;i++){
                   8065:                                                        /* Computes the new covariate which is a product of
                   8066:                                                                 covar[n][i]* covar[m][i] and stores it at ncovol+k1 May not be defined */
                   8067:                                                        covar[ncovcol+k1][i]=covar[atoi(stre)][i]*covar[atoi(strc)][i];
                   8068:                                                }
                   8069:                                        } /* End age is not in the model */
                   8070:                                } /* End if model includes a product */
                   8071:                                else { /* no more sum */
                   8072:                                        /*printf("d=%s c=%s b=%s\n", strd,strc,strb);*/
                   8073:                                        /*  scanf("%d",i);*/
                   8074:                                        cutl(strd,strc,strb,'V');
                   8075:                                        ks++; /**< Number of simple covariates dummy or quantitative, fixe or varying */
                   8076:                                        cptcovn++; /** V4+V3+V5: V4 and V3 timevarying dummy covariates, V5 timevarying quantitative */
                   8077:                                        Tvar[k]=atoi(strd);
                   8078:                                        Typevar[k]=0;  /* 0 for simple covariates */
                   8079:                                }
                   8080:                                strcpy(modelsav,stra);  /* modelsav=V2+V1+V4 stra=V2+V1+V4 */ 
1.223     brouard  8081:                                /*printf("a=%s b=%s sav=%s\n", stra,strb,modelsav);
1.225     brouard  8082:                                  scanf("%d",i);*/
1.187     brouard  8083:       } /* end of loop + on total covariates */
                   8084:     } /* end if strlen(modelsave == 0) age*age might exist */
                   8085:   } /* end if strlen(model == 0) */
1.136     brouard  8086:   
                   8087:   /*The number n of Vn is stored in Tvar. cptcovage =number of age covariate. Tage gives the position of age. cptcovprod= number of products.
                   8088:     If model=V1+V1*age then Tvar[1]=1 Tvar[2]=1 cptcovage=1 Tage[1]=2 cptcovprod=0*/
1.225     brouard  8089:   
1.136     brouard  8090:   /* printf("tvar1=%d tvar2=%d tvar3=%d cptcovage=%d Tage=%d",Tvar[1],Tvar[2],Tvar[3],cptcovage,Tage[1]);
1.225     brouard  8091:      printf("cptcovprod=%d ", cptcovprod);
                   8092:      fprintf(ficlog,"cptcovprod=%d ", cptcovprod);
                   8093:      scanf("%d ",i);*/
                   8094: 
                   8095: 
1.230     brouard  8096: /* Until here, decodemodel knows only the grammar (simple, product, age*) of the model but not what kind
                   8097:    of variable (dummy vs quantitative, fixed vs time varying) is behind. But we know the # of each. */
1.226     brouard  8098: /* ncovcol= 1, nqv=1 | ntv=2, nqtv= 1  = 5 possible variables data: 2 fixed 3, varying
                   8099:    model=        V5 + V4 +V3 + V4*V3 + V5*age + V2 + V1*V2 + V1*age + V5*age, V1 is not used saving its place
                   8100:    k =           1    2   3     4       5       6      7      8        9
                   8101:    Tvar[k]=      5    4   3 1+1+2+1+1=6 5       2      7      1        5
                   8102:    Typevar[k]=   0    0   0     2       1       0      2      1        1
1.227     brouard  8103:    Fixed[k]      1    1   1     1       3       0    0 or 2   2        3
                   8104:    Dummy[k]      1    0   0     0       3       1      1      2        3
                   8105:          Tmodelind[combination of covar]=k;
1.225     brouard  8106: */  
                   8107: /* Dispatching between quantitative and time varying covariates */
1.226     brouard  8108:   /* If Tvar[k] >ncovcol it is a product */
1.225     brouard  8109:   /* 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  8110:        /* Computing effective variables, ie used by the model, that is from the cptcovt variables */
1.227     brouard  8111:   printf("Model=%s\n\
                   8112: Typevar: 0 for simple covariate (dummy, quantitative, fixed or varying), 1 for age product, 2 for  product \n\
                   8113: Fixed[k] 0=fixed (product or simple), 1 varying, 2 fixed with age product, 3 varying with age product \n\
                   8114: 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);
                   8115:   fprintf(ficlog,"Model=%s\n\
                   8116: Typevar: 0 for simple covariate (dummy, quantitative, fixed or varying), 1 for age product, 2 for  product \n\
                   8117: Fixed[k] 0=fixed (product or simple), 1 varying, 2 fixed with age product, 3 varying with age product \n\
                   8118: 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);
                   8119: 
1.232     brouard  8120:   for(k=1, ncovf=0, ncovv=0, ncova=0, ncoveff=0, nqfveff=0, ntveff=0, nqtveff=0;k<=cptcovt; k++){ /* or cptocvt */
1.231     brouard  8121:     if (Tvar[k] <=ncovcol && (Typevar[k]==0 || Typevar[k]==2)){ /* Simple or product fixed dummy (<=ncovcol) covariates */
1.227     brouard  8122:       Fixed[k]= 0;
                   8123:       Dummy[k]= 0;
1.225     brouard  8124:       ncoveff++;
1.232     brouard  8125:       ncovf++;
1.231     brouard  8126:                        modell[k].maintype= FTYPE;
1.232     brouard  8127:                        TvarF[ncovf]=Tvar[k];
                   8128:                        TvarFind[ncovf]=k;
1.230     brouard  8129:       TvarFD[ncoveff]=Tvar[k]; /* TvarFD[1]=V1 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
1.231     brouard  8130:       TvarFDind[ncoveff]=k; /* TvarFDind[1]=9 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */
                   8131:     }else if( Tvar[k] <=ncovcol+nqv && Typevar[k]==0){ /* Remind that product Vn*Vm are added in k*/ /* Only simple fixed quantitative variable */
1.227     brouard  8132:       Fixed[k]= 0;
                   8133:       Dummy[k]= 1;
1.230     brouard  8134:       nqfveff++;
1.231     brouard  8135:                        modell[k].maintype= FTYPE;
                   8136:                        modell[k].subtype= FQ;
1.232     brouard  8137:       ncovf++;
                   8138:                        TvarF[ncovf]=Tvar[k];
                   8139:                        TvarFind[ncovf]=k;
1.231     brouard  8140:       TvarFQ[nqfveff]=Tvar[k]-ncovcol; /* TvarFQ[1]=V2-1=1st in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple fixed quantitative variable */
1.230     brouard  8141:       TvarFQind[nqfveff]=k; /* TvarFQind[1]=6 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple fixed quantitative variable */
1.225     brouard  8142:     }else if( Tvar[k] <=ncovcol+nqv+ntv && Typevar[k]==0){
1.227     brouard  8143:       Fixed[k]= 1;
                   8144:       Dummy[k]= 0;
1.225     brouard  8145:       ntveff++; /* Only simple time varying dummy variable */
1.231     brouard  8146:                        modell[k].maintype= VTYPE;
                   8147:                        modell[k].subtype= VD;
1.232     brouard  8148:                        ncovv++; /* Only simple time varying variables */
                   8149:                        TvarV[ncovv]=Tvar[k];
                   8150:                        TvarVind[ncovv]=k;
1.231     brouard  8151:       TvarVD[ntveff]=Tvar[k]; /* TvarVD[1]=V4  TvarVD[2]=V3 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple time varying dummy variable */
                   8152:       TvarVDind[ntveff]=k; /* TvarVDind[1]=2 TvarVDind[2]=3 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple time varying dummy variable */
1.228     brouard  8153:       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);
                   8154:       printf("Quasi TmodelInvind[%d]=%d\n",k,Tvar[k]- ncovcol-nqv);
1.231     brouard  8155:     }else if( Tvar[k] <=ncovcol+nqv+ntv+nqtv  && Typevar[k]==0){ /* Only simple time varying quantitative variable V5*/
                   8156:                        Fixed[k]= 1;
                   8157:                        Dummy[k]= 1;
                   8158:                        nqtveff++;
                   8159:                        modell[k].maintype= VTYPE;
                   8160:                        modell[k].subtype= VQ;
1.232     brouard  8161:                        ncovv++; /* Only simple time varying variables */
                   8162:                        TvarV[ncovv]=Tvar[k];
                   8163:                        TvarVind[ncovv]=k;
1.231     brouard  8164:       TvarVQ[nqtveff]=Tvar[k]; /* TvarVQ[1]=V5 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple time varying quantitative variable */
                   8165:       TvarVQind[nqtveff]=k; /* TvarVQind[1]=1 in V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 */ /* Only simple time varying quantitative variable */
                   8166:                        TmodelInvQind[nqtveff]=Tvar[k]- ncovcol-nqv-ntv;/* Only simple time varying quantitative variable */
                   8167:                        /* Tmodeliqind[k]=nqtveff;/\* Only simple time varying quantitative variable *\/ */
                   8168:                        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);
1.228     brouard  8169:       printf("Quasi TmodelInvQind[%d]=%d\n",k,Tvar[k]- ncovcol-nqv-ntv);
1.227     brouard  8170:     }else if (Typevar[k] == 1) {  /* product with age */
1.232     brouard  8171:                        ncova++;
                   8172:                        TvarA[ncova]=Tvar[k];
                   8173:                        TvarAind[ncova]=k;
1.231     brouard  8174:       if (Tvar[k] <=ncovcol ){ /* Product age with fixed dummy covariatee */
                   8175:                                Fixed[k]= 2;
                   8176:                                Dummy[k]= 2;
                   8177:                                modell[k].maintype= ATYPE;
                   8178:                                modell[k].subtype= APFD;
                   8179:                                /* ncoveff++; */
1.227     brouard  8180:       }else if( Tvar[k] <=ncovcol+nqv) { /* Remind that product Vn*Vm are added in k*/
1.231     brouard  8181:                                Fixed[k]= 2;
                   8182:                                Dummy[k]= 3;
                   8183:                                modell[k].maintype= ATYPE;
                   8184:                                modell[k].subtype= APFQ;                /*      Product age * fixed quantitative */
                   8185:                                /* nqfveff++;  /\* Only simple fixed quantitative variable *\/ */
1.227     brouard  8186:       }else if( Tvar[k] <=ncovcol+nqv+ntv ){
1.231     brouard  8187:                                Fixed[k]= 3;
                   8188:                                Dummy[k]= 2;
                   8189:                                modell[k].maintype= ATYPE;
                   8190:                                modell[k].subtype= APVD;                /*      Product age * varying dummy */
                   8191:                                /* ntveff++; /\* Only simple time varying dummy variable *\/ */
1.227     brouard  8192:       }else if( Tvar[k] <=ncovcol+nqv+ntv+nqtv){
1.231     brouard  8193:                                Fixed[k]= 3;
                   8194:                                Dummy[k]= 3;
                   8195:                                modell[k].maintype= ATYPE;
                   8196:                                modell[k].subtype= APVQ;                /*      Product age * varying quantitative */
                   8197:                                /* nqtveff++;/\* Only simple time varying quantitative variable *\/ */
1.227     brouard  8198:       }
                   8199:     }else if (Typevar[k] == 2) {  /* product without age */
                   8200:       k1=Tposprod[k];
                   8201:       if(Tvard[k1][1] <=ncovcol){
1.231     brouard  8202:                                if(Tvard[k1][2] <=ncovcol){
                   8203:                                        Fixed[k]= 1;
                   8204:                                        Dummy[k]= 0;
                   8205:                                        modell[k].maintype= FTYPE;
                   8206:                                        modell[k].subtype= FPDD;                /*      Product fixed dummy * fixed dummy */
1.233   ! brouard  8207:                                        ncovf++; /* Fixed variables without age */
        !          8208:                                        TvarF[ncovf]=Tvar[k];
        !          8209:                                        TvarFind[ncovf]=k;
1.231     brouard  8210:                                }else if(Tvard[k1][2] <=ncovcol+nqv){
                   8211:                                        Fixed[k]= 0;  /* or 2 ?*/
                   8212:                                        Dummy[k]= 1;
                   8213:                                        modell[k].maintype= FTYPE;
                   8214:                                        modell[k].subtype= FPDQ;                /*      Product fixed dummy * fixed quantitative */
1.233   ! brouard  8215:                                        ncovf++; /* Varying variables without age */
        !          8216:                                        TvarF[ncovf]=Tvar[k];
        !          8217:                                        TvarFind[ncovf]=k;
1.231     brouard  8218:                                }else if(Tvard[k1][2] <=ncovcol+nqv+ntv){
                   8219:                                        Fixed[k]= 1;
                   8220:                                        Dummy[k]= 0;
                   8221:                                        modell[k].maintype= VTYPE;
                   8222:                                        modell[k].subtype= VPDD;                /*      Product fixed dummy * varying dummy */
1.233   ! brouard  8223:                                        ncovv++; /* Varying variables without age */
        !          8224:                                        TvarV[ncovv]=Tvar[k];
        !          8225:                                        TvarVind[ncovv]=k;
1.231     brouard  8226:                                }else if(Tvard[k1][2] <=ncovcol+nqv+ntv+nqtv){
                   8227:                                        Fixed[k]= 1;
                   8228:                                        Dummy[k]= 1;
                   8229:                                        modell[k].maintype= VTYPE;
                   8230:                                        modell[k].subtype= VPDQ;                /*      Product fixed dummy * varying quantitative */
1.233   ! brouard  8231:                                        ncovv++; /* Varying variables without age */
        !          8232:                                        TvarV[ncovv]=Tvar[k];
        !          8233:                                        TvarVind[ncovv]=k;
1.231     brouard  8234:                                } 
1.227     brouard  8235:       }else if(Tvard[k1][1] <=ncovcol+nqv){
1.231     brouard  8236:                                if(Tvard[k1][2] <=ncovcol){
                   8237:                                        Fixed[k]= 0;  /* or 2 ?*/
                   8238:                                        Dummy[k]= 1;
                   8239:                                        modell[k].maintype= FTYPE;
                   8240:                                        modell[k].subtype= FPDQ;                /*      Product fixed quantitative * fixed dummy */
1.233   ! brouard  8241:                                        ncovf++; /* Fixed variables without age */
        !          8242:                                        TvarF[ncovf]=Tvar[k];
        !          8243:                                        TvarFind[ncovf]=k;
1.231     brouard  8244:                                }else if(Tvard[k1][2] <=ncovcol+nqv+ntv){
                   8245:                                        Fixed[k]= 1;
                   8246:                                        Dummy[k]= 1;
                   8247:                                        modell[k].maintype= VTYPE;
                   8248:                                        modell[k].subtype= VPDQ;                /*      Product fixed quantitative * varying dummy */
1.233   ! brouard  8249:                                        ncovv++; /* Varying variables without age */
        !          8250:                                        TvarV[ncovv]=Tvar[k];
        !          8251:                                        TvarVind[ncovv]=k;
1.231     brouard  8252:                                }else if(Tvard[k1][2] <=ncovcol+nqv+ntv+nqtv){
                   8253:                                        Fixed[k]= 1;
                   8254:                                        Dummy[k]= 1;
                   8255:                                        modell[k].maintype= VTYPE;
                   8256:                                        modell[k].subtype= VPQQ;                /*      Product fixed quantitative * varying quantitative */
1.233   ! brouard  8257:                                        ncovv++; /* Varying variables without age */
        !          8258:                                        TvarV[ncovv]=Tvar[k];
        !          8259:                                        TvarVind[ncovv]=k;
        !          8260:                                        ncovv++; /* Varying variables without age */
        !          8261:                                        TvarV[ncovv]=Tvar[k];
        !          8262:                                        TvarVind[ncovv]=k;
1.231     brouard  8263:                                } 
1.227     brouard  8264:       }else if(Tvard[k1][1] <=ncovcol+nqv+ntv){
1.231     brouard  8265:                                if(Tvard[k1][2] <=ncovcol){
                   8266:                                        Fixed[k]= 1;
                   8267:                                        Dummy[k]= 1;
                   8268:                                        modell[k].maintype= VTYPE;
                   8269:                                        modell[k].subtype= VPDD;                /*      Product time varying dummy * fixed dummy */
1.233   ! brouard  8270:                                        ncovv++; /* Varying variables without age */
        !          8271:                                        TvarV[ncovv]=Tvar[k];
        !          8272:                                        TvarVind[ncovv]=k;
1.231     brouard  8273:                                }else if(Tvard[k1][2] <=ncovcol+nqv){
                   8274:                                        Fixed[k]= 1;
                   8275:                                        Dummy[k]= 1;
                   8276:                                        modell[k].maintype= VTYPE;
                   8277:                                        modell[k].subtype= VPDQ;                /*      Product time varying dummy * fixed quantitative */
1.233   ! brouard  8278:                                        ncovv++; /* Varying variables without age */
        !          8279:                                        TvarV[ncovv]=Tvar[k];
        !          8280:                                        TvarVind[ncovv]=k;
1.231     brouard  8281:                                }else if(Tvard[k1][2] <=ncovcol+nqv+ntv){
                   8282:                                        Fixed[k]= 1;
                   8283:                                        Dummy[k]= 0;
                   8284:                                        modell[k].maintype= VTYPE;
                   8285:                                        modell[k].subtype= VPDD;                /*      Product time varying dummy * time varying dummy */
1.233   ! brouard  8286:                                        ncovv++; /* Varying variables without age */
        !          8287:                                        TvarV[ncovv]=Tvar[k];
        !          8288:                                        TvarVind[ncovv]=k;
1.231     brouard  8289:                                }else if(Tvard[k1][2] <=ncovcol+nqv+ntv+nqtv){
                   8290:                                        Fixed[k]= 1;
                   8291:                                        Dummy[k]= 1;
                   8292:                                        modell[k].maintype= VTYPE;
                   8293:                                        modell[k].subtype= VPDQ;                /*      Product time varying dummy * time varying quantitative */
1.233   ! brouard  8294:                                        ncovv++; /* Varying variables without age */
        !          8295:                                        TvarV[ncovv]=Tvar[k];
        !          8296:                                        TvarVind[ncovv]=k;
1.231     brouard  8297:                                } 
1.227     brouard  8298:       }else if(Tvard[k1][1] <=ncovcol+nqv+ntv+nqtv){
1.231     brouard  8299:                                if(Tvard[k1][2] <=ncovcol){
                   8300:                                        Fixed[k]= 1;
                   8301:                                        Dummy[k]= 1;
                   8302:                                        modell[k].maintype= VTYPE;
                   8303:                                        modell[k].subtype= VPDQ;                /*      Product time varying quantitative * fixed dummy */
1.233   ! brouard  8304:                                        ncovv++; /* Varying variables without age */
        !          8305:                                        TvarV[ncovv]=Tvar[k];
        !          8306:                                        TvarVind[ncovv]=k;
1.231     brouard  8307:                                }else if(Tvard[k1][2] <=ncovcol+nqv){
                   8308:                                        Fixed[k]= 1;
                   8309:                                        Dummy[k]= 1;
                   8310:                                        modell[k].maintype= VTYPE;
                   8311:                                        modell[k].subtype= VPQQ;                /*      Product time varying quantitative * fixed quantitative */
1.233   ! brouard  8312:                                        ncovv++; /* Varying variables without age */
        !          8313:                                        TvarV[ncovv]=Tvar[k];
        !          8314:                                        TvarVind[ncovv]=k;
1.231     brouard  8315:                                }else if(Tvard[k1][2] <=ncovcol+nqv+ntv){
                   8316:                                        Fixed[k]= 1;
                   8317:                                        Dummy[k]= 1;
                   8318:                                        modell[k].maintype= VTYPE;
                   8319:                                        modell[k].subtype= VPDQ;                /*      Product time varying quantitative * time varying dummy */
1.233   ! brouard  8320:                                        ncovv++; /* Varying variables without age */
        !          8321:                                        TvarV[ncovv]=Tvar[k];
        !          8322:                                        TvarVind[ncovv]=k;
1.231     brouard  8323:                                }else if(Tvard[k1][2] <=ncovcol+nqv+ntv+nqtv){
                   8324:                                        Fixed[k]= 1;
                   8325:                                        Dummy[k]= 1;
                   8326:                                        modell[k].maintype= VTYPE;
                   8327:                                        modell[k].subtype= VPQQ;                /*      Product time varying quantitative * time varying quantitative */
1.233   ! brouard  8328:                                        ncovv++; /* Varying variables without age */
        !          8329:                                        TvarV[ncovv]=Tvar[k];
        !          8330:                                        TvarVind[ncovv]=k;
1.231     brouard  8331:                                } 
1.227     brouard  8332:       }else{
1.231     brouard  8333:                                printf("Error unknown type of covariate: Tvard[%d][1]=%d,Tvard[%d][2]=%d\n",k1,Tvard[k1][1],k1,Tvard[k1][2]);
                   8334:                                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  8335:       } /* end k1 */
1.225     brouard  8336:     }else{
1.226     brouard  8337:       printf("Error, current version can't treat for performance reasons, Tvar[%d]=%d, Typevar[%d]=%d\n", k, Tvar[k], k, Typevar[k]);
                   8338:       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  8339:     }
1.227     brouard  8340:     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]);
1.231     brouard  8341:     printf("           modell[%d].maintype=%d, modell[%d].subtype=%d\n",k,modell[k].maintype,k,modell[k].subtype);
1.227     brouard  8342:     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]);
                   8343:   }
                   8344:   /* Searching for doublons in the model */
                   8345:   for(k1=1; k1<= cptcovt;k1++){
                   8346:     for(k2=1; k2 <k1;k2++){
                   8347:       if((Typevar[k1]==Typevar[k2]) && (Fixed[Tvar[k1]]==Fixed[Tvar[k2]]) && (Dummy[Tvar[k1]]==Dummy[Tvar[k2]] )){
1.231     brouard  8348:                                if((Typevar[k1] == 0 || Typevar[k1] == 1)){ /* Simple or age product */
                   8349:                                        if(Tvar[k1]==Tvar[k2]){
                   8350:                                                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]]);
                   8351:                                                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);
                   8352:                                                return(1);
                   8353:                                        }
                   8354:                                }else if (Typevar[k1] ==2){
                   8355:                                        k3=Tposprod[k1];
                   8356:                                        k4=Tposprod[k2];
                   8357:                                        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])) ){
                   8358:                                                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]]);
                   8359:                                                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);
                   8360:                                                return(1);
                   8361:                                        }
                   8362:                                }
1.227     brouard  8363:       }
                   8364:     }
1.225     brouard  8365:   }
                   8366:   printf("ncoveff=%d, nqfveff=%d, ntveff=%d, nqtveff=%d, cptcovn=%d\n",ncoveff,nqfveff,ntveff,nqtveff,cptcovn);
                   8367:   fprintf(ficlog,"ncoveff=%d, nqfveff=%d, ntveff=%d, nqtveff=%d, cptcovn=%d\n",ncoveff,nqfveff,ntveff,nqtveff,cptcovn);
1.232     brouard  8368:   printf("ncovf=%d, ncovv=%d, ncova=%d\n",ncovf,ncovv,ncova);
                   8369:   fprintf(ficlog,"ncovf=%d, ncovv=%d, ncova=%d\n",ncovf,ncovv,ncova);
1.137     brouard  8370:   return (0); /* with covar[new additional covariate if product] and Tage if age */ 
1.164     brouard  8371:   /*endread:*/
1.225     brouard  8372:   printf("Exiting decodemodel: ");
                   8373:   return (1);
1.136     brouard  8374: }
                   8375: 
1.169     brouard  8376: int calandcheckages(int imx, int maxwav, double *agemin, double *agemax, int *nberr, int *nbwarn )
1.136     brouard  8377: {
                   8378:   int i, m;
1.218     brouard  8379:   int firstone=0;
                   8380:   
1.136     brouard  8381:   for (i=1; i<=imx; i++) {
                   8382:     for(m=2; (m<= maxwav); m++) {
                   8383:       if (((int)mint[m][i]== 99) && (s[m][i] <= nlstate)){
                   8384:        anint[m][i]=9999;
1.216     brouard  8385:        if (s[m][i] != -2) /* Keeping initial status of unknown vital status */
                   8386:          s[m][i]=-1;
1.136     brouard  8387:       }
                   8388:       if((int)moisdc[i]==99 && (int)andc[i]==9999 && s[m][i]>nlstate){
1.169     brouard  8389:        *nberr = *nberr + 1;
1.218     brouard  8390:        if(firstone == 0){
                   8391:          firstone=1;
                   8392:        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);
                   8393:        }
                   8394:        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  8395:        s[m][i]=-1;
                   8396:       }
                   8397:       if((int)moisdc[i]==99 && (int)andc[i]!=9999 && s[m][i]>nlstate){
1.169     brouard  8398:        (*nberr)++;
1.136     brouard  8399:        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]); 
                   8400:        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]); 
                   8401:        s[m][i]=-1; /* We prefer to skip it (and to skip it in version 0.8a1 too */
                   8402:       }
                   8403:     }
                   8404:   }
                   8405: 
                   8406:   for (i=1; i<=imx; i++)  {
                   8407:     agedc[i]=(moisdc[i]/12.+andc[i])-(moisnais[i]/12.+annais[i]);
                   8408:     for(m=firstpass; (m<= lastpass); m++){
1.214     brouard  8409:       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  8410:        if (s[m][i] >= nlstate+1) {
1.169     brouard  8411:          if(agedc[i]>0){
                   8412:            if((int)moisdc[i]!=99 && (int)andc[i]!=9999){
1.136     brouard  8413:              agev[m][i]=agedc[i];
1.214     brouard  8414:              /*if(moisdc[i]==99 && andc[i]==9999) s[m][i]=-1;*/
1.169     brouard  8415:            }else {
1.136     brouard  8416:              if ((int)andc[i]!=9999){
                   8417:                nbwarn++;
                   8418:                printf("Warning negative age at death: %ld line:%d\n",num[i],i);
                   8419:                fprintf(ficlog,"Warning negative age at death: %ld line:%d\n",num[i],i);
                   8420:                agev[m][i]=-1;
                   8421:              }
                   8422:            }
1.169     brouard  8423:          } /* agedc > 0 */
1.214     brouard  8424:        } /* end if */
1.136     brouard  8425:        else if(s[m][i] !=9){ /* Standard case, age in fractional
                   8426:                                 years but with the precision of a month */
                   8427:          agev[m][i]=(mint[m][i]/12.+1./24.+anint[m][i])-(moisnais[i]/12.+1./24.+annais[i]);
                   8428:          if((int)mint[m][i]==99 || (int)anint[m][i]==9999)
                   8429:            agev[m][i]=1;
                   8430:          else if(agev[m][i] < *agemin){ 
                   8431:            *agemin=agev[m][i];
                   8432:            printf(" Min anint[%d][%d]=%.2f annais[%d]=%.2f, agemin=%.2f\n",m,i,anint[m][i], i,annais[i], *agemin);
                   8433:          }
                   8434:          else if(agev[m][i] >*agemax){
                   8435:            *agemax=agev[m][i];
1.156     brouard  8436:            /* printf(" Max anint[%d][%d]=%.0f annais[%d]=%.0f, agemax=%.2f\n",m,i,anint[m][i], i,annais[i], *agemax);*/
1.136     brouard  8437:          }
                   8438:          /*agev[m][i]=anint[m][i]-annais[i];*/
                   8439:          /*     agev[m][i] = age[i]+2*m;*/
1.214     brouard  8440:        } /* en if 9*/
1.136     brouard  8441:        else { /* =9 */
1.214     brouard  8442:          /* printf("Debug num[%d]=%ld s[%d][%d]=%d\n",i,num[i], m,i, s[m][i]); */
1.136     brouard  8443:          agev[m][i]=1;
                   8444:          s[m][i]=-1;
                   8445:        }
                   8446:       }
1.214     brouard  8447:       else if(s[m][i]==0) /*= 0 Unknown */
1.136     brouard  8448:        agev[m][i]=1;
1.214     brouard  8449:       else{
                   8450:        printf("Warning, num[%d]=%ld, s[%d][%d]=%d\n", i, num[i], m, i,s[m][i]); 
                   8451:        fprintf(ficlog, "Warning, num[%d]=%ld, s[%d][%d]=%d\n", i, num[i], m, i,s[m][i]); 
                   8452:        agev[m][i]=0;
                   8453:       }
                   8454:     } /* End for lastpass */
                   8455:   }
1.136     brouard  8456:     
                   8457:   for (i=1; i<=imx; i++)  {
                   8458:     for(m=firstpass; (m<=lastpass); m++){
                   8459:       if (s[m][i] > (nlstate+ndeath)) {
1.169     brouard  8460:        (*nberr)++;
1.136     brouard  8461:        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);     
                   8462:        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);     
                   8463:        return 1;
                   8464:       }
                   8465:     }
                   8466:   }
                   8467: 
                   8468:   /*for (i=1; i<=imx; i++){
                   8469:   for (m=firstpass; (m<lastpass); m++){
                   8470:      printf("%ld %d %.lf %d %d\n", num[i],(covar[1][i]),agev[m][i],s[m][i],s[m+1][i]);
                   8471: }
                   8472: 
                   8473: }*/
                   8474: 
                   8475: 
1.139     brouard  8476:   printf("Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, *agemin, *agemax);
                   8477:   fprintf(ficlog,"Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, *agemin, *agemax); 
1.136     brouard  8478: 
                   8479:   return (0);
1.164     brouard  8480:  /* endread:*/
1.136     brouard  8481:     printf("Exiting calandcheckages: ");
                   8482:     return (1);
                   8483: }
                   8484: 
1.172     brouard  8485: #if defined(_MSC_VER)
                   8486: /*printf("Visual C++ compiler: %s \n;", _MSC_FULL_VER);*/
                   8487: /*fprintf(ficlog, "Visual C++ compiler: %s \n;", _MSC_FULL_VER);*/
                   8488: //#include "stdafx.h"
                   8489: //#include <stdio.h>
                   8490: //#include <tchar.h>
                   8491: //#include <windows.h>
                   8492: //#include <iostream>
                   8493: typedef BOOL(WINAPI *LPFN_ISWOW64PROCESS) (HANDLE, PBOOL);
                   8494: 
                   8495: LPFN_ISWOW64PROCESS fnIsWow64Process;
                   8496: 
                   8497: BOOL IsWow64()
                   8498: {
                   8499:        BOOL bIsWow64 = FALSE;
                   8500: 
                   8501:        //typedef BOOL (APIENTRY *LPFN_ISWOW64PROCESS)
                   8502:        //  (HANDLE, PBOOL);
                   8503: 
                   8504:        //LPFN_ISWOW64PROCESS fnIsWow64Process;
                   8505: 
                   8506:        HMODULE module = GetModuleHandle(_T("kernel32"));
                   8507:        const char funcName[] = "IsWow64Process";
                   8508:        fnIsWow64Process = (LPFN_ISWOW64PROCESS)
                   8509:                GetProcAddress(module, funcName);
                   8510: 
                   8511:        if (NULL != fnIsWow64Process)
                   8512:        {
                   8513:                if (!fnIsWow64Process(GetCurrentProcess(),
                   8514:                        &bIsWow64))
                   8515:                        //throw std::exception("Unknown error");
                   8516:                        printf("Unknown error\n");
                   8517:        }
                   8518:        return bIsWow64 != FALSE;
                   8519: }
                   8520: #endif
1.177     brouard  8521: 
1.191     brouard  8522: void syscompilerinfo(int logged)
1.167     brouard  8523:  {
                   8524:    /* #include "syscompilerinfo.h"*/
1.185     brouard  8525:    /* command line Intel compiler 32bit windows, XP compatible:*/
                   8526:    /* /GS /W3 /Gy
                   8527:       /Zc:wchar_t /Zi /O2 /Fd"Release\vc120.pdb" /D "WIN32" /D "NDEBUG" /D
                   8528:       "_CONSOLE" /D "_LIB" /D "_USING_V110_SDK71_" /D "_UNICODE" /D
                   8529:       "UNICODE" /Qipo /Zc:forScope /Gd /Oi /MT /Fa"Release\" /EHsc /nologo
1.186     brouard  8530:       /Fo"Release\" /Qprof-dir "Release\" /Fp"Release\IMaCh.pch"
                   8531:    */ 
                   8532:    /* 64 bits */
1.185     brouard  8533:    /*
                   8534:      /GS /W3 /Gy
                   8535:      /Zc:wchar_t /Zi /O2 /Fd"x64\Release\vc120.pdb" /D "WIN32" /D "NDEBUG"
                   8536:      /D "_CONSOLE" /D "_LIB" /D "_UNICODE" /D "UNICODE" /Qipo /Zc:forScope
                   8537:      /Oi /MD /Fa"x64\Release\" /EHsc /nologo /Fo"x64\Release\" /Qprof-dir
                   8538:      "x64\Release\" /Fp"x64\Release\IMaCh.pch" */
                   8539:    /* Optimization are useless and O3 is slower than O2 */
                   8540:    /*
                   8541:      /GS /W3 /Gy /Zc:wchar_t /Zi /O3 /Fd"x64\Release\vc120.pdb" /D "WIN32" 
                   8542:      /D "NDEBUG" /D "_CONSOLE" /D "_LIB" /D "_UNICODE" /D "UNICODE" /Qipo 
                   8543:      /Zc:forScope /Oi /MD /Fa"x64\Release\" /EHsc /nologo /Qparallel 
                   8544:      /Fo"x64\Release\" /Qprof-dir "x64\Release\" /Fp"x64\Release\IMaCh.pch" 
                   8545:    */
1.186     brouard  8546:    /* Link is */ /* /OUT:"visual studio
1.185     brouard  8547:       2013\Projects\IMaCh\Release\IMaCh.exe" /MANIFEST /NXCOMPAT
                   8548:       /PDB:"visual studio
                   8549:       2013\Projects\IMaCh\Release\IMaCh.pdb" /DYNAMICBASE
                   8550:       "kernel32.lib" "user32.lib" "gdi32.lib" "winspool.lib"
                   8551:       "comdlg32.lib" "advapi32.lib" "shell32.lib" "ole32.lib"
                   8552:       "oleaut32.lib" "uuid.lib" "odbc32.lib" "odbccp32.lib"
                   8553:       /MACHINE:X86 /OPT:REF /SAFESEH /INCREMENTAL:NO
                   8554:       /SUBSYSTEM:CONSOLE",5.01" /MANIFESTUAC:"level='asInvoker'
                   8555:       uiAccess='false'"
                   8556:       /ManifestFile:"Release\IMaCh.exe.intermediate.manifest" /OPT:ICF
                   8557:       /NOLOGO /TLBID:1
                   8558:    */
1.177     brouard  8559: #if defined __INTEL_COMPILER
1.178     brouard  8560: #if defined(__GNUC__)
                   8561:        struct utsname sysInfo;  /* For Intel on Linux and OS/X */
                   8562: #endif
1.177     brouard  8563: #elif defined(__GNUC__) 
1.179     brouard  8564: #ifndef  __APPLE__
1.174     brouard  8565: #include <gnu/libc-version.h>  /* Only on gnu */
1.179     brouard  8566: #endif
1.177     brouard  8567:    struct utsname sysInfo;
1.178     brouard  8568:    int cross = CROSS;
                   8569:    if (cross){
                   8570:           printf("Cross-");
1.191     brouard  8571:           if(logged) fprintf(ficlog, "Cross-");
1.178     brouard  8572:    }
1.174     brouard  8573: #endif
                   8574: 
1.171     brouard  8575: #include <stdint.h>
1.178     brouard  8576: 
1.191     brouard  8577:    printf("Compiled with:");if(logged)fprintf(ficlog,"Compiled with:");
1.169     brouard  8578: #if defined(__clang__)
1.191     brouard  8579:    printf(" Clang/LLVM");if(logged)fprintf(ficlog," Clang/LLVM");      /* Clang/LLVM. ---------------------------------------------- */
1.169     brouard  8580: #endif
                   8581: #if defined(__ICC) || defined(__INTEL_COMPILER)
1.191     brouard  8582:    printf(" Intel ICC/ICPC");if(logged)fprintf(ficlog," Intel ICC/ICPC");/* Intel ICC/ICPC. ------------------------------------------ */
1.169     brouard  8583: #endif
                   8584: #if defined(__GNUC__) || defined(__GNUG__)
1.191     brouard  8585:    printf(" GNU GCC/G++");if(logged)fprintf(ficlog," GNU GCC/G++");/* GNU GCC/G++. --------------------------------------------- */
1.169     brouard  8586: #endif
                   8587: #if defined(__HP_cc) || defined(__HP_aCC)
1.191     brouard  8588:    printf(" Hewlett-Packard C/aC++");if(logged)fprintf(fcilog," Hewlett-Packard C/aC++"); /* Hewlett-Packard C/aC++. ---------------------------------- */
1.169     brouard  8589: #endif
                   8590: #if defined(__IBMC__) || defined(__IBMCPP__)
1.191     brouard  8591:    printf(" IBM XL C/C++"); if(logged) fprintf(ficlog," IBM XL C/C++");/* IBM XL C/C++. -------------------------------------------- */
1.169     brouard  8592: #endif
                   8593: #if defined(_MSC_VER)
1.191     brouard  8594:    printf(" Microsoft Visual Studio");if(logged)fprintf(ficlog," Microsoft Visual Studio");/* Microsoft Visual Studio. --------------------------------- */
1.169     brouard  8595: #endif
                   8596: #if defined(__PGI)
1.191     brouard  8597:    printf(" Portland Group PGCC/PGCPP");if(logged) fprintf(ficlog," Portland Group PGCC/PGCPP");/* Portland Group PGCC/PGCPP. ------------------------------- */
1.169     brouard  8598: #endif
                   8599: #if defined(__SUNPRO_C) || defined(__SUNPRO_CC)
1.191     brouard  8600:    printf(" Oracle Solaris Studio");if(logged)fprintf(ficlog," Oracle Solaris Studio\n");/* Oracle Solaris Studio. ----------------------------------- */
1.167     brouard  8601: #endif
1.191     brouard  8602:    printf(" for "); if (logged) fprintf(ficlog, " for ");
1.169     brouard  8603:    
1.167     brouard  8604: // http://stackoverflow.com/questions/4605842/how-to-identify-platform-compiler-from-preprocessor-macros
                   8605: #ifdef _WIN32 // note the underscore: without it, it's not msdn official!
                   8606:     // Windows (x64 and x86)
1.191     brouard  8607:    printf("Windows (x64 and x86) ");if(logged) fprintf(ficlog,"Windows (x64 and x86) ");
1.167     brouard  8608: #elif __unix__ // all unices, not all compilers
                   8609:     // Unix
1.191     brouard  8610:    printf("Unix ");if(logged) fprintf(ficlog,"Unix ");
1.167     brouard  8611: #elif __linux__
                   8612:     // linux
1.191     brouard  8613:    printf("linux ");if(logged) fprintf(ficlog,"linux ");
1.167     brouard  8614: #elif __APPLE__
1.174     brouard  8615:     // Mac OS, not sure if this is covered by __posix__ and/or __unix__ though..
1.191     brouard  8616:    printf("Mac OS ");if(logged) fprintf(ficlog,"Mac OS ");
1.167     brouard  8617: #endif
                   8618: 
                   8619: /*  __MINGW32__          */
                   8620: /*  __CYGWIN__  */
                   8621: /* __MINGW64__  */
                   8622: // http://msdn.microsoft.com/en-us/library/b0084kay.aspx
                   8623: /* _MSC_VER  //the Visual C++ compiler is 17.00.51106.1, the _MSC_VER macro evaluates to 1700. Type cl /?  */
                   8624: /* _MSC_FULL_VER //the Visual C++ compiler is 15.00.20706.01, the _MSC_FULL_VER macro evaluates to 150020706 */
                   8625: /* _WIN64  // Defined for applications for Win64. */
                   8626: /* _M_X64 // Defined for compilations that target x64 processors. */
                   8627: /* _DEBUG // Defined when you compile with /LDd, /MDd, and /MTd. */
1.171     brouard  8628: 
1.167     brouard  8629: #if UINTPTR_MAX == 0xffffffff
1.191     brouard  8630:    printf(" 32-bit"); if(logged) fprintf(ficlog," 32-bit");/* 32-bit */
1.167     brouard  8631: #elif UINTPTR_MAX == 0xffffffffffffffff
1.191     brouard  8632:    printf(" 64-bit"); if(logged) fprintf(ficlog," 64-bit");/* 64-bit */
1.167     brouard  8633: #else
1.191     brouard  8634:    printf(" wtf-bit"); if(logged) fprintf(ficlog," wtf-bit");/* wtf */
1.167     brouard  8635: #endif
                   8636: 
1.169     brouard  8637: #if defined(__GNUC__)
                   8638: # if defined(__GNUC_PATCHLEVEL__)
                   8639: #  define __GNUC_VERSION__ (__GNUC__ * 10000 \
                   8640:                             + __GNUC_MINOR__ * 100 \
                   8641:                             + __GNUC_PATCHLEVEL__)
                   8642: # else
                   8643: #  define __GNUC_VERSION__ (__GNUC__ * 10000 \
                   8644:                             + __GNUC_MINOR__ * 100)
                   8645: # endif
1.174     brouard  8646:    printf(" using GNU C version %d.\n", __GNUC_VERSION__);
1.191     brouard  8647:    if(logged) fprintf(ficlog, " using GNU C version %d.\n", __GNUC_VERSION__);
1.176     brouard  8648: 
                   8649:    if (uname(&sysInfo) != -1) {
                   8650:      printf("Running on: %s %s %s %s %s\n",sysInfo.sysname, sysInfo.nodename, sysInfo.release, sysInfo.version, sysInfo.machine);
1.191     brouard  8651:         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  8652:    }
                   8653:    else
                   8654:       perror("uname() error");
1.179     brouard  8655:    //#ifndef __INTEL_COMPILER 
                   8656: #if !defined (__INTEL_COMPILER) && !defined(__APPLE__)
1.174     brouard  8657:    printf("GNU libc version: %s\n", gnu_get_libc_version()); 
1.191     brouard  8658:    if(logged) fprintf(ficlog,"GNU libc version: %s\n", gnu_get_libc_version());
1.177     brouard  8659: #endif
1.169     brouard  8660: #endif
1.172     brouard  8661: 
                   8662:    //   void main()
                   8663:    //   {
1.169     brouard  8664: #if defined(_MSC_VER)
1.174     brouard  8665:    if (IsWow64()){
1.191     brouard  8666:           printf("\nThe program (probably compiled for 32bit) is running under WOW64 (64bit) emulation.\n");
                   8667:           if (logged) fprintf(ficlog, "\nThe program (probably compiled for 32bit) is running under WOW64 (64bit) emulation.\n");
1.174     brouard  8668:    }
                   8669:    else{
1.191     brouard  8670:           printf("\nThe program is not running under WOW64 (i.e probably on a 64bit Windows).\n");
                   8671:           if (logged) fprintf(ficlog, "\nThe programm is not running under WOW64 (i.e probably on a 64bit Windows).\n");
1.174     brouard  8672:    }
1.172     brouard  8673:    //     printf("\nPress Enter to continue...");
                   8674:    //     getchar();
                   8675:    //   }
                   8676: 
1.169     brouard  8677: #endif
                   8678:    
1.167     brouard  8679: 
1.219     brouard  8680: }
1.136     brouard  8681: 
1.219     brouard  8682: int prevalence_limit(double *p, double **prlim, double ageminpar, double agemaxpar, double ftolpl, int *ncvyearp){
1.180     brouard  8683:   /*--------------- Prevalence limit  (period or stable prevalence) --------------*/
                   8684:   int i, j, k, i1 ;
1.202     brouard  8685:   /* double ftolpl = 1.e-10; */
1.180     brouard  8686:   double age, agebase, agelim;
1.203     brouard  8687:   double tot;
1.180     brouard  8688: 
1.202     brouard  8689:   strcpy(filerespl,"PL_");
                   8690:   strcat(filerespl,fileresu);
                   8691:   if((ficrespl=fopen(filerespl,"w"))==NULL) {
                   8692:     printf("Problem with period (stable) prevalence resultfile: %s\n", filerespl);return 1;
                   8693:     fprintf(ficlog,"Problem with period (stable) prevalence resultfile: %s\n", filerespl);return 1;
                   8694:   }
1.227     brouard  8695:   printf("\nComputing period (stable) prevalence: result on file '%s' \n", filerespl);
                   8696:   fprintf(ficlog,"\nComputing period (stable) prevalence: result on file '%s' \n", filerespl);
1.202     brouard  8697:   pstamp(ficrespl);
1.203     brouard  8698:   fprintf(ficrespl,"# Period (stable) prevalence. Precision given by ftolpl=%g \n", ftolpl);
1.202     brouard  8699:   fprintf(ficrespl,"#Age ");
                   8700:   for(i=1; i<=nlstate;i++) fprintf(ficrespl,"%d-%d ",i,i);
                   8701:   fprintf(ficrespl,"\n");
1.180     brouard  8702:   
1.219     brouard  8703:   /* prlim=matrix(1,nlstate,1,nlstate);*/ /* back in main */
1.180     brouard  8704: 
1.219     brouard  8705:   agebase=ageminpar;
                   8706:   agelim=agemaxpar;
1.180     brouard  8707: 
1.227     brouard  8708:   /* i1=pow(2,ncoveff); */
                   8709:   i1=pow(2,cptcoveff); /* Number of dummy covariates */
1.219     brouard  8710:   if (cptcovn < 1){i1=1;}
1.180     brouard  8711: 
1.220     brouard  8712:   for(k=1; k<=i1;k++){
                   8713:   /* for(cptcov=1,k=0;cptcov<=i1;cptcov++){ */
1.180     brouard  8714:     /* for(cptcov=1,k=0;cptcov<=1;cptcov++){ */
1.219     brouard  8715:     //for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){
1.220     brouard  8716:     /* k=k+1; */
1.219     brouard  8717:     /* to clean */
                   8718:     //printf("cptcov=%d cptcod=%d codtab=%d\n",cptcov, cptcod,codtabm(cptcod,cptcov));
                   8719:     fprintf(ficrespl,"#******");
                   8720:     printf("#******");
                   8721:     fprintf(ficlog,"#******");
1.227     brouard  8722:     for(j=1;j<=cptcoveff ;j++) {/* all covariates */
                   8723:       fprintf(ficrespl," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]); /* Here problem for varying dummy*/
1.219     brouard  8724:       printf(" V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8725:       fprintf(ficlog," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8726:     }
                   8727:     fprintf(ficrespl,"******\n");
                   8728:     printf("******\n");
                   8729:     fprintf(ficlog,"******\n");
1.227     brouard  8730:     if(invalidvarcomb[k]){
                   8731:       printf("\nCombination (%d) ignored because no case \n",k); 
                   8732:       fprintf(ficrespl,"#Combination (%d) ignored because no case \n",k); 
                   8733:       fprintf(ficlog,"\nCombination (%d) ignored because no case \n",k); 
1.220     brouard  8734:                                                continue;
1.227     brouard  8735:     }
1.219     brouard  8736: 
                   8737:     fprintf(ficrespl,"#Age ");
1.227     brouard  8738:     for(j=1;j<=cptcoveff;j++) {
1.219     brouard  8739:       fprintf(ficrespl,"V%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8740:     }
                   8741:     for(i=1; i<=nlstate;i++) fprintf(ficrespl,"  %d-%d   ",i,i);
                   8742:     fprintf(ficrespl,"Total Years_to_converge\n");
1.227     brouard  8743:     
1.219     brouard  8744:     for (age=agebase; age<=agelim; age++){
                   8745:       /* for (age=agebase; age<=agebase; age++){ */
                   8746:       prevalim(prlim, nlstate, p, age, oldm, savm, ftolpl, ncvyearp, k);
                   8747:       fprintf(ficrespl,"%.0f ",age );
1.227     brouard  8748:       for(j=1;j<=cptcoveff;j++)
                   8749:        fprintf(ficrespl,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.219     brouard  8750:       tot=0.;
                   8751:       for(i=1; i<=nlstate;i++){
1.227     brouard  8752:        tot +=  prlim[i][i];
                   8753:        fprintf(ficrespl," %.5f", prlim[i][i]);
1.219     brouard  8754:       }
                   8755:       fprintf(ficrespl," %.3f %d\n", tot, *ncvyearp);
                   8756:     } /* Age */
                   8757:     /* was end of cptcod */
                   8758:   } /* cptcov */
                   8759:   return 0;
1.180     brouard  8760: }
                   8761: 
1.218     brouard  8762: 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){
                   8763:        /*--------------- Back Prevalence limit  (period or stable prevalence) --------------*/
                   8764:        
                   8765:        /* Computes the back prevalence limit  for any combination      of covariate values 
                   8766:    * at any age between ageminpar and agemaxpar
                   8767:         */
1.217     brouard  8768:   int i, j, k, i1 ;
                   8769:   /* double ftolpl = 1.e-10; */
                   8770:   double age, agebase, agelim;
                   8771:   double tot;
1.218     brouard  8772:   /* double ***mobaverage; */
                   8773:   /* double     **dnewm, **doldm, **dsavm;  /\* for use *\/ */
1.217     brouard  8774: 
                   8775:   strcpy(fileresplb,"PLB_");
                   8776:   strcat(fileresplb,fileresu);
                   8777:   if((ficresplb=fopen(fileresplb,"w"))==NULL) {
                   8778:     printf("Problem with period (stable) back prevalence resultfile: %s\n", fileresplb);return 1;
                   8779:     fprintf(ficlog,"Problem with period (stable) back prevalence resultfile: %s\n", fileresplb);return 1;
                   8780:   }
                   8781:   printf("Computing period (stable) back prevalence: result on file '%s' \n", fileresplb);
                   8782:   fprintf(ficlog,"Computing period (stable) back prevalence: result on file '%s' \n", fileresplb);
                   8783:   pstamp(ficresplb);
                   8784:   fprintf(ficresplb,"# Period (stable) back prevalence. Precision given by ftolpl=%g \n", ftolpl);
                   8785:   fprintf(ficresplb,"#Age ");
                   8786:   for(i=1; i<=nlstate;i++) fprintf(ficresplb,"%d-%d ",i,i);
                   8787:   fprintf(ficresplb,"\n");
                   8788:   
1.218     brouard  8789:   
                   8790:   /* prlim=matrix(1,nlstate,1,nlstate);*/ /* back in main */
                   8791:   
                   8792:   agebase=ageminpar;
                   8793:   agelim=agemaxpar;
                   8794:   
                   8795:   
1.227     brouard  8796:   i1=pow(2,cptcoveff);
1.218     brouard  8797:   if (cptcovn < 1){i1=1;}
1.227     brouard  8798:   
                   8799:   for(k=1; k<=i1;k++){ 
1.218     brouard  8800:     //printf("cptcov=%d cptcod=%d codtab=%d\n",cptcov, cptcod,codtabm(cptcod,cptcov));
                   8801:     fprintf(ficresplb,"#******");
                   8802:     printf("#******");
                   8803:     fprintf(ficlog,"#******");
1.227     brouard  8804:     for(j=1;j<=cptcoveff ;j++) {/* all covariates */
1.218     brouard  8805:       fprintf(ficresplb," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8806:       printf(" V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8807:       fprintf(ficlog," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8808:     }
                   8809:     fprintf(ficresplb,"******\n");
                   8810:     printf("******\n");
                   8811:     fprintf(ficlog,"******\n");
1.227     brouard  8812:     if(invalidvarcomb[k]){
                   8813:       printf("\nCombination (%d) ignored because no cases \n",k); 
                   8814:       fprintf(ficresplb,"#Combination (%d) ignored because no cases \n",k); 
                   8815:       fprintf(ficlog,"\nCombination (%d) ignored because no cases \n",k); 
                   8816:       continue;
                   8817:     }
1.218     brouard  8818:     
                   8819:     fprintf(ficresplb,"#Age ");
1.227     brouard  8820:     for(j=1;j<=cptcoveff;j++) {
1.218     brouard  8821:       fprintf(ficresplb,"V%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8822:     }
                   8823:     for(i=1; i<=nlstate;i++) fprintf(ficresplb,"  %d-%d   ",i,i);
                   8824:     fprintf(ficresplb,"Total Years_to_converge\n");
                   8825:     
                   8826:     
                   8827:     for (age=agebase; age<=agelim; age++){
                   8828:       /* for (age=agebase; age<=agebase; age++){ */
                   8829:       if(mobilavproj > 0){
                   8830:        /* bprevalim(bprlim, mobaverage, nlstate, p, age, ageminpar, agemaxpar, oldm, savm, doldm, dsavm, ftolpl, ncvyearp, k); */
                   8831:        /* bprevalim(bprlim, mobaverage, nlstate, p, age, oldm, savm, dnewm, doldm, dsavm, ftolpl, ncvyearp, k); */
1.227     brouard  8832:        bprevalim(bprlim, mobaverage, nlstate, p, age, ftolpl, ncvyearp, k);
1.218     brouard  8833:       }else if (mobilavproj == 0){
1.227     brouard  8834:        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);
                   8835:        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);
                   8836:        exit(1);
1.218     brouard  8837:       }else{
1.227     brouard  8838:        /* bprevalim(bprlim, probs, nlstate, p, age, oldm, savm, dnewm, doldm, dsavm, ftolpl, ncvyearp, k); */
                   8839:        bprevalim(bprlim, probs, nlstate, p, age, ftolpl, ncvyearp, k);
1.218     brouard  8840:       }
                   8841:       fprintf(ficresplb,"%.0f ",age );
1.227     brouard  8842:       for(j=1;j<=cptcoveff;j++)
                   8843:        fprintf(ficresplb,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.218     brouard  8844:       tot=0.;
                   8845:       for(i=1; i<=nlstate;i++){
1.227     brouard  8846:        tot +=  bprlim[i][i];
                   8847:        fprintf(ficresplb," %.5f", bprlim[i][i]);
1.218     brouard  8848:       }
                   8849:       fprintf(ficresplb," %.3f %d\n", tot, *ncvyearp);
                   8850:     } /* Age */
                   8851:     /* was end of cptcod */
                   8852:   } /* cptcov */
                   8853:   
                   8854:   /* hBijx(p, bage, fage); */
                   8855:   /* fclose(ficrespijb); */
                   8856:   
                   8857:   return 0;
1.217     brouard  8858: }
1.218     brouard  8859:  
1.180     brouard  8860: int hPijx(double *p, int bage, int fage){
                   8861:     /*------------- h Pij x at various ages ------------*/
                   8862: 
                   8863:   int stepsize;
                   8864:   int agelim;
                   8865:   int hstepm;
                   8866:   int nhstepm;
                   8867:   int h, i, i1, j, k;
                   8868: 
                   8869:   double agedeb;
                   8870:   double ***p3mat;
                   8871: 
1.201     brouard  8872:     strcpy(filerespij,"PIJ_");  strcat(filerespij,fileresu);
1.180     brouard  8873:     if((ficrespij=fopen(filerespij,"w"))==NULL) {
                   8874:       printf("Problem with Pij resultfile: %s\n", filerespij); return 1;
                   8875:       fprintf(ficlog,"Problem with Pij resultfile: %s\n", filerespij); return 1;
                   8876:     }
                   8877:     printf("Computing pij: result on file '%s' \n", filerespij);
                   8878:     fprintf(ficlog,"Computing pij: result on file '%s' \n", filerespij);
                   8879:   
                   8880:     stepsize=(int) (stepm+YEARM-1)/YEARM;
                   8881:     /*if (stepm<=24) stepsize=2;*/
                   8882: 
                   8883:     agelim=AGESUP;
                   8884:     hstepm=stepsize*YEARM; /* Every year of age */
                   8885:     hstepm=hstepm/stepm; /* Typically 2 years, = 2/6 months = 4 */ 
1.218     brouard  8886:                
1.180     brouard  8887:     /* hstepm=1;   aff par mois*/
                   8888:     pstamp(ficrespij);
                   8889:     fprintf(ficrespij,"#****** h Pij x Probability to be in state j at age x+h being in i at x ");
1.227     brouard  8890:     i1= pow(2,cptcoveff);
1.218     brouard  8891:                /* for(cptcov=1,k=0;cptcov<=i1;cptcov++){ */
                   8892:                /*    /\*for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*\/ */
                   8893:                /*      k=k+1;  */
1.227     brouard  8894:     for (k=1; k <= (int) pow(2,cptcoveff); k++){
1.183     brouard  8895:       fprintf(ficrespij,"\n#****** ");
1.227     brouard  8896:       for(j=1;j<=cptcoveff;j++) 
1.198     brouard  8897:        fprintf(ficrespij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.183     brouard  8898:       fprintf(ficrespij,"******\n");
                   8899:       
                   8900:       for (agedeb=fage; agedeb>=bage; agedeb--){ /* If stepm=6 months */
                   8901:        nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
                   8902:        nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
                   8903:        
                   8904:        /*        nhstepm=nhstepm*YEARM; aff par mois*/
1.180     brouard  8905:        
1.183     brouard  8906:        p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   8907:        oldm=oldms;savm=savms;
                   8908:        hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);  
                   8909:        fprintf(ficrespij,"# Cov Agex agex+h hpijx with i,j=");
                   8910:        for(i=1; i<=nlstate;i++)
                   8911:          for(j=1; j<=nlstate+ndeath;j++)
                   8912:            fprintf(ficrespij," %1d-%1d",i,j);
                   8913:        fprintf(ficrespij,"\n");
                   8914:        for (h=0; h<=nhstepm; h++){
                   8915:          /*agedebphstep = agedeb + h*hstepm/YEARM*stepm;*/
                   8916:          fprintf(ficrespij,"%d %3.f %3.f",k, agedeb, agedeb + h*hstepm/YEARM*stepm );
1.180     brouard  8917:          for(i=1; i<=nlstate;i++)
                   8918:            for(j=1; j<=nlstate+ndeath;j++)
1.183     brouard  8919:              fprintf(ficrespij," %.5f", p3mat[i][j][h]);
1.180     brouard  8920:          fprintf(ficrespij,"\n");
                   8921:        }
1.183     brouard  8922:        free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   8923:        fprintf(ficrespij,"\n");
                   8924:       }
1.180     brouard  8925:       /*}*/
                   8926:     }
1.218     brouard  8927:     return 0;
1.180     brouard  8928: }
1.218     brouard  8929:  
                   8930:  int hBijx(double *p, int bage, int fage, double ***prevacurrent){
1.217     brouard  8931:     /*------------- h Bij x at various ages ------------*/
                   8932: 
                   8933:   int stepsize;
1.218     brouard  8934:   /* int agelim; */
                   8935:        int ageminl;
1.217     brouard  8936:   int hstepm;
                   8937:   int nhstepm;
                   8938:   int h, i, i1, j, k;
1.218     brouard  8939:        
1.217     brouard  8940:   double agedeb;
                   8941:   double ***p3mat;
1.218     brouard  8942:        
                   8943:   strcpy(filerespijb,"PIJB_");  strcat(filerespijb,fileresu);
                   8944:   if((ficrespijb=fopen(filerespijb,"w"))==NULL) {
                   8945:     printf("Problem with Pij back resultfile: %s\n", filerespijb); return 1;
                   8946:     fprintf(ficlog,"Problem with Pij back resultfile: %s\n", filerespijb); return 1;
                   8947:   }
                   8948:   printf("Computing pij back: result on file '%s' \n", filerespijb);
                   8949:   fprintf(ficlog,"Computing pij back: result on file '%s' \n", filerespijb);
                   8950:   
                   8951:   stepsize=(int) (stepm+YEARM-1)/YEARM;
                   8952:   /*if (stepm<=24) stepsize=2;*/
1.217     brouard  8953:   
1.218     brouard  8954:   /* agelim=AGESUP; */
                   8955:   ageminl=30;
                   8956:   hstepm=stepsize*YEARM; /* Every year of age */
                   8957:   hstepm=hstepm/stepm; /* Typically 2 years, = 2/6 months = 4 */
                   8958:   
                   8959:   /* hstepm=1;   aff par mois*/
                   8960:   pstamp(ficrespijb);
                   8961:   fprintf(ficrespijb,"#****** h Pij x Back Probability to be in state i at age x-h being in j at x ");
1.227     brouard  8962:   i1= pow(2,cptcoveff);
1.218     brouard  8963:   /* for(cptcov=1,k=0;cptcov<=i1;cptcov++){ */
                   8964:   /*    /\*for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*\/ */
                   8965:   /*   k=k+1;  */
1.227     brouard  8966:   for (k=1; k <= (int) pow(2,cptcoveff); k++){
1.218     brouard  8967:     fprintf(ficrespijb,"\n#****** ");
1.227     brouard  8968:     for(j=1;j<=cptcoveff;j++)
1.218     brouard  8969:       fprintf(ficrespijb,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8970:     fprintf(ficrespijb,"******\n");
1.222     brouard  8971:     if(invalidvarcomb[k]){
                   8972:       fprintf(ficrespijb,"\n#Combination (%d) ignored because no cases \n",k); 
                   8973:       continue;
                   8974:     }
1.218     brouard  8975:     
                   8976:     /* for (agedeb=fage; agedeb>=bage; agedeb--){ /\* If stepm=6 months *\/ */
                   8977:     for (agedeb=bage; agedeb<=fage; agedeb++){ /* If stepm=6 months and estepm=24 (2 years) */
                   8978:       /* nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); /\* Typically 20 years = 20*12/6=40 *\/ */
                   8979:       nhstepm=(int) rint((agedeb-ageminl)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */
                   8980:       nhstepm = nhstepm/hstepm; /* Typically 40/4=10, because estepm=24 stepm=6 => hstepm=24/6=4 */
                   8981:       
                   8982:       /*         nhstepm=nhstepm*YEARM; aff par mois*/
                   8983:       
                   8984:       p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   8985:       /* oldm=oldms;savm=savms; */
                   8986:       /* hbxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);   */
                   8987:       hbxij(p3mat,nhstepm,agedeb,hstepm,p,prevacurrent,nlstate,stepm, k);
                   8988:       /* hbxij(p3mat,nhstepm,agedeb,hstepm,p,prevacurrent,nlstate,stepm,oldm,savm, dnewm, doldm, dsavm, k); */
                   8989:       fprintf(ficrespijb,"# Cov Agex agex-h hpijx with i,j=");
                   8990:       for(i=1; i<=nlstate;i++)
                   8991:        for(j=1; j<=nlstate+ndeath;j++)
                   8992:          fprintf(ficrespijb," %1d-%1d",i,j);
                   8993:       fprintf(ficrespijb,"\n");
                   8994:       for (h=0; h<=nhstepm; h++){
                   8995:        /*agedebphstep = agedeb + h*hstepm/YEARM*stepm;*/
                   8996:        fprintf(ficrespijb,"%d %3.f %3.f",k, agedeb, agedeb - h*hstepm/YEARM*stepm );
                   8997:        /* fprintf(ficrespijb,"%d %3.f %3.f",k, agedeb, agedeb + h*hstepm/YEARM*stepm ); */
1.217     brouard  8998:        for(i=1; i<=nlstate;i++)
                   8999:          for(j=1; j<=nlstate+ndeath;j++)
1.218     brouard  9000:            fprintf(ficrespijb," %.5f", p3mat[i][j][h]);
1.217     brouard  9001:        fprintf(ficrespijb,"\n");
                   9002:       }
1.218     brouard  9003:       free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   9004:       fprintf(ficrespijb,"\n");
1.217     brouard  9005:     }
1.218     brouard  9006:     /*}*/
                   9007:   }
                   9008:   return 0;
                   9009:  } /*  hBijx */
1.217     brouard  9010: 
1.180     brouard  9011: 
1.136     brouard  9012: /***********************************************/
                   9013: /**************** Main Program *****************/
                   9014: /***********************************************/
                   9015: 
                   9016: int main(int argc, char *argv[])
                   9017: {
                   9018: #ifdef GSL
                   9019:   const gsl_multimin_fminimizer_type *T;
                   9020:   size_t iteri = 0, it;
                   9021:   int rval = GSL_CONTINUE;
                   9022:   int status = GSL_SUCCESS;
                   9023:   double ssval;
                   9024: #endif
                   9025:   int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav);
1.164     brouard  9026:   int i,j, k, n=MAXN,iter=0,m,size=100, cptcod;
1.209     brouard  9027:   int ncvyear=0; /* Number of years needed for the period prevalence to converge */
1.164     brouard  9028:   int jj, ll, li, lj, lk;
1.136     brouard  9029:   int numlinepar=0; /* Current linenumber of parameter file */
1.197     brouard  9030:   int num_filled;
1.136     brouard  9031:   int itimes;
                   9032:   int NDIM=2;
                   9033:   int vpopbased=0;
                   9034: 
1.164     brouard  9035:   char ca[32], cb[32];
1.136     brouard  9036:   /*  FILE *fichtm; *//* Html File */
                   9037:   /* FILE *ficgp;*/ /*Gnuplot File */
                   9038:   struct stat info;
1.191     brouard  9039:   double agedeb=0.;
1.194     brouard  9040: 
                   9041:   double ageminpar=AGEOVERFLOW,agemin=AGEOVERFLOW, agemaxpar=-AGEOVERFLOW, agemax=-AGEOVERFLOW;
1.219     brouard  9042:   double ageminout=-AGEOVERFLOW,agemaxout=AGEOVERFLOW; /* Smaller Age range redefined after movingaverage */
1.136     brouard  9043: 
1.165     brouard  9044:   double fret;
1.191     brouard  9045:   double dum=0.; /* Dummy variable */
1.136     brouard  9046:   double ***p3mat;
1.218     brouard  9047:   /* double ***mobaverage; */
1.164     brouard  9048: 
                   9049:   char line[MAXLINE];
1.197     brouard  9050:   char path[MAXLINE],pathc[MAXLINE],pathcd[MAXLINE],pathtot[MAXLINE];
                   9051: 
                   9052:   char model[MAXLINE], modeltemp[MAXLINE];
1.230     brouard  9053:   char resultline[MAXLINE];
                   9054:   
1.136     brouard  9055:   char pathr[MAXLINE], pathimach[MAXLINE]; 
1.164     brouard  9056:   char *tok, *val; /* pathtot */
1.136     brouard  9057:   int firstobs=1, lastobs=10;
1.195     brouard  9058:   int c,  h , cpt, c2;
1.191     brouard  9059:   int jl=0;
                   9060:   int i1, j1, jk, stepsize=0;
1.194     brouard  9061:   int count=0;
                   9062: 
1.164     brouard  9063:   int *tab; 
1.136     brouard  9064:   int mobilavproj=0 , prevfcast=0 ; /* moving average of prev, If prevfcast=1 prevalence projection */
1.217     brouard  9065:   int backcast=0;
1.136     brouard  9066:   int mobilav=0,popforecast=0;
1.191     brouard  9067:   int hstepm=0, nhstepm=0;
1.136     brouard  9068:   int agemortsup;
                   9069:   float  sumlpop=0.;
                   9070:   double jprev1=1, mprev1=1,anprev1=2000,jprev2=1, mprev2=1,anprev2=2000;
                   9071:   double jpyram=1, mpyram=1,anpyram=2000,jpyram1=1, mpyram1=1,anpyram1=2000;
                   9072: 
1.191     brouard  9073:   double bage=0, fage=110., age, agelim=0., agebase=0.;
1.136     brouard  9074:   double ftolpl=FTOL;
                   9075:   double **prlim;
1.217     brouard  9076:   double **bprlim;
1.136     brouard  9077:   double ***param; /* Matrix of parameters */
                   9078:   double  *p;
                   9079:   double **matcov; /* Matrix of covariance */
1.203     brouard  9080:   double **hess; /* Hessian matrix */
1.136     brouard  9081:   double ***delti3; /* Scale */
                   9082:   double *delti; /* Scale */
                   9083:   double ***eij, ***vareij;
                   9084:   double **varpl; /* Variances of prevalence limits by age */
                   9085:   double *epj, vepp;
1.164     brouard  9086: 
1.136     brouard  9087:   double dateprev1, dateprev2,jproj1=1,mproj1=1,anproj1=2000,jproj2=1,mproj2=1,anproj2=2000;
1.217     brouard  9088:   double jback1=1,mback1=1,anback1=2000,jback2=1,mback2=1,anback2=2000;
                   9089: 
1.136     brouard  9090:   double **ximort;
1.145     brouard  9091:   char *alph[]={"a","a","b","c","d","e"}, str[4]="1234";
1.136     brouard  9092:   int *dcwave;
                   9093: 
1.164     brouard  9094:   char z[1]="c";
1.136     brouard  9095: 
                   9096:   /*char  *strt;*/
                   9097:   char strtend[80];
1.126     brouard  9098: 
1.164     brouard  9099: 
1.126     brouard  9100: /*   setlocale (LC_ALL, ""); */
                   9101: /*   bindtextdomain (PACKAGE, LOCALEDIR); */
                   9102: /*   textdomain (PACKAGE); */
                   9103: /*   setlocale (LC_CTYPE, ""); */
                   9104: /*   setlocale (LC_MESSAGES, ""); */
                   9105: 
                   9106:   /*   gettimeofday(&start_time, (struct timezone*)0); */ /* at first time */
1.157     brouard  9107:   rstart_time = time(NULL);  
                   9108:   /*  (void) gettimeofday(&start_time,&tzp);*/
                   9109:   start_time = *localtime(&rstart_time);
1.126     brouard  9110:   curr_time=start_time;
1.157     brouard  9111:   /*tml = *localtime(&start_time.tm_sec);*/
                   9112:   /* strcpy(strstart,asctime(&tml)); */
                   9113:   strcpy(strstart,asctime(&start_time));
1.126     brouard  9114: 
                   9115: /*  printf("Localtime (at start)=%s",strstart); */
1.157     brouard  9116: /*  tp.tm_sec = tp.tm_sec +86400; */
                   9117: /*  tm = *localtime(&start_time.tm_sec); */
1.126     brouard  9118: /*   tmg.tm_year=tmg.tm_year +dsign*dyear; */
                   9119: /*   tmg.tm_mon=tmg.tm_mon +dsign*dmonth; */
                   9120: /*   tmg.tm_hour=tmg.tm_hour + 1; */
1.157     brouard  9121: /*   tp.tm_sec = mktime(&tmg); */
1.126     brouard  9122: /*   strt=asctime(&tmg); */
                   9123: /*   printf("Time(after) =%s",strstart);  */
                   9124: /*  (void) time (&time_value);
                   9125: *  printf("time=%d,t-=%d\n",time_value,time_value-86400);
                   9126: *  tm = *localtime(&time_value);
                   9127: *  strstart=asctime(&tm);
                   9128: *  printf("tim_value=%d,asctime=%s\n",time_value,strstart); 
                   9129: */
                   9130: 
                   9131:   nberr=0; /* Number of errors and warnings */
                   9132:   nbwarn=0;
1.184     brouard  9133: #ifdef WIN32
                   9134:   _getcwd(pathcd, size);
                   9135: #else
1.126     brouard  9136:   getcwd(pathcd, size);
1.184     brouard  9137: #endif
1.191     brouard  9138:   syscompilerinfo(0);
1.196     brouard  9139:   printf("\nIMaCh version %s, %s\n%s",version, copyright, fullversion);
1.126     brouard  9140:   if(argc <=1){
                   9141:     printf("\nEnter the parameter file name: ");
1.205     brouard  9142:     if(!fgets(pathr,FILENAMELENGTH,stdin)){
                   9143:       printf("ERROR Empty parameter file name\n");
                   9144:       goto end;
                   9145:     }
1.126     brouard  9146:     i=strlen(pathr);
                   9147:     if(pathr[i-1]=='\n')
                   9148:       pathr[i-1]='\0';
1.156     brouard  9149:     i=strlen(pathr);
1.205     brouard  9150:     if(i >= 1 && pathr[i-1]==' ') {/* This may happen when dragging on oS/X! */
1.156     brouard  9151:       pathr[i-1]='\0';
1.205     brouard  9152:     }
                   9153:     i=strlen(pathr);
                   9154:     if( i==0 ){
                   9155:       printf("ERROR Empty parameter file name\n");
                   9156:       goto end;
                   9157:     }
                   9158:     for (tok = pathr; tok != NULL; ){
1.126     brouard  9159:       printf("Pathr |%s|\n",pathr);
                   9160:       while ((val = strsep(&tok, "\"" )) != NULL && *val == '\0');
                   9161:       printf("val= |%s| pathr=%s\n",val,pathr);
                   9162:       strcpy (pathtot, val);
                   9163:       if(pathr[0] == '\0') break; /* Dirty */
                   9164:     }
                   9165:   }
                   9166:   else{
                   9167:     strcpy(pathtot,argv[1]);
                   9168:   }
                   9169:   /*if(getcwd(pathcd, MAXLINE)!= NULL)printf ("Error pathcd\n");*/
                   9170:   /*cygwin_split_path(pathtot,path,optionfile);
                   9171:     printf("pathtot=%s, path=%s, optionfile=%s\n",pathtot,path,optionfile);*/
                   9172:   /* cutv(path,optionfile,pathtot,'\\');*/
                   9173: 
                   9174:   /* Split argv[0], imach program to get pathimach */
                   9175:   printf("\nargv[0]=%s argv[1]=%s, \n",argv[0],argv[1]);
                   9176:   split(argv[0],pathimach,optionfile,optionfilext,optionfilefiname);
                   9177:   printf("\nargv[0]=%s pathimach=%s, \noptionfile=%s \noptionfilext=%s \noptionfilefiname=%s\n",argv[0],pathimach,optionfile,optionfilext,optionfilefiname);
                   9178:  /*   strcpy(pathimach,argv[0]); */
                   9179:   /* Split argv[1]=pathtot, parameter file name to get path, optionfile, extension and name */
                   9180:   split(pathtot,path,optionfile,optionfilext,optionfilefiname);
                   9181:   printf("\npathtot=%s,\npath=%s,\noptionfile=%s \noptionfilext=%s \noptionfilefiname=%s\n",pathtot,path,optionfile,optionfilext,optionfilefiname);
1.184     brouard  9182: #ifdef WIN32
                   9183:   _chdir(path); /* Can be a relative path */
                   9184:   if(_getcwd(pathcd,MAXLINE) > 0) /* So pathcd is the full path */
                   9185: #else
1.126     brouard  9186:   chdir(path); /* Can be a relative path */
1.184     brouard  9187:   if (getcwd(pathcd, MAXLINE) > 0) /* So pathcd is the full path */
                   9188: #endif
                   9189:   printf("Current directory %s!\n",pathcd);
1.126     brouard  9190:   strcpy(command,"mkdir ");
                   9191:   strcat(command,optionfilefiname);
                   9192:   if((outcmd=system(command)) != 0){
1.169     brouard  9193:     printf("Directory already exists (or can't create it) %s%s, err=%d\n",path,optionfilefiname,outcmd);
1.126     brouard  9194:     /* fprintf(ficlog,"Problem creating directory %s%s\n",path,optionfilefiname); */
                   9195:     /* fclose(ficlog); */
                   9196: /*     exit(1); */
                   9197:   }
                   9198: /*   if((imk=mkdir(optionfilefiname))<0){ */
                   9199: /*     perror("mkdir"); */
                   9200: /*   } */
                   9201: 
                   9202:   /*-------- arguments in the command line --------*/
                   9203: 
1.186     brouard  9204:   /* Main Log file */
1.126     brouard  9205:   strcat(filelog, optionfilefiname);
                   9206:   strcat(filelog,".log");    /* */
                   9207:   if((ficlog=fopen(filelog,"w"))==NULL)    {
                   9208:     printf("Problem with logfile %s\n",filelog);
                   9209:     goto end;
                   9210:   }
                   9211:   fprintf(ficlog,"Log filename:%s\n",filelog);
1.197     brouard  9212:   fprintf(ficlog,"Version %s %s",version,fullversion);
1.126     brouard  9213:   fprintf(ficlog,"\nEnter the parameter file name: \n");
                   9214:   fprintf(ficlog,"pathimach=%s\npathtot=%s\n\
                   9215:  path=%s \n\
                   9216:  optionfile=%s\n\
                   9217:  optionfilext=%s\n\
1.156     brouard  9218:  optionfilefiname='%s'\n",pathimach,pathtot,path,optionfile,optionfilext,optionfilefiname);
1.126     brouard  9219: 
1.197     brouard  9220:   syscompilerinfo(1);
1.167     brouard  9221: 
1.126     brouard  9222:   printf("Local time (at start):%s",strstart);
                   9223:   fprintf(ficlog,"Local time (at start): %s",strstart);
                   9224:   fflush(ficlog);
                   9225: /*   (void) gettimeofday(&curr_time,&tzp); */
1.157     brouard  9226: /*   printf("Elapsed time %d\n", asc_diff_time(curr_time.tm_sec-start_time.tm_sec,tmpout)); */
1.126     brouard  9227: 
                   9228:   /* */
                   9229:   strcpy(fileres,"r");
                   9230:   strcat(fileres, optionfilefiname);
1.201     brouard  9231:   strcat(fileresu, optionfilefiname); /* Without r in front */
1.126     brouard  9232:   strcat(fileres,".txt");    /* Other files have txt extension */
1.201     brouard  9233:   strcat(fileresu,".txt");    /* Other files have txt extension */
1.126     brouard  9234: 
1.186     brouard  9235:   /* Main ---------arguments file --------*/
1.126     brouard  9236: 
                   9237:   if((ficpar=fopen(optionfile,"r"))==NULL)    {
1.155     brouard  9238:     printf("Problem with optionfile '%s' with errno='%s'\n",optionfile,strerror(errno));
                   9239:     fprintf(ficlog,"Problem with optionfile '%s' with errno='%s'\n",optionfile,strerror(errno));
1.126     brouard  9240:     fflush(ficlog);
1.149     brouard  9241:     /* goto end; */
                   9242:     exit(70); 
1.126     brouard  9243:   }
                   9244: 
                   9245: 
                   9246: 
                   9247:   strcpy(filereso,"o");
1.201     brouard  9248:   strcat(filereso,fileresu);
1.126     brouard  9249:   if((ficparo=fopen(filereso,"w"))==NULL) { /* opened on subdirectory */
                   9250:     printf("Problem with Output resultfile: %s\n", filereso);
                   9251:     fprintf(ficlog,"Problem with Output resultfile: %s\n", filereso);
                   9252:     fflush(ficlog);
                   9253:     goto end;
                   9254:   }
                   9255: 
                   9256:   /* Reads comments: lines beginning with '#' */
                   9257:   numlinepar=0;
1.197     brouard  9258: 
                   9259:     /* First parameter line */
                   9260:   while(fgets(line, MAXLINE, ficpar)) {
                   9261:     /* If line starts with a # it is a comment */
                   9262:     if (line[0] == '#') {
                   9263:       numlinepar++;
                   9264:       fputs(line,stdout);
                   9265:       fputs(line,ficparo);
                   9266:       fputs(line,ficlog);
                   9267:       continue;
                   9268:     }else
                   9269:       break;
                   9270:   }
                   9271:   if((num_filled=sscanf(line,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", \
                   9272:                        title, datafile, &lastobs, &firstpass,&lastpass)) !=EOF){
                   9273:     if (num_filled != 5) {
                   9274:       printf("Should be 5 parameters\n");
                   9275:     }
1.126     brouard  9276:     numlinepar++;
1.197     brouard  9277:     printf("title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", title, datafile, lastobs, firstpass,lastpass);
                   9278:   }
                   9279:   /* Second parameter line */
                   9280:   while(fgets(line, MAXLINE, ficpar)) {
                   9281:     /* If line starts with a # it is a comment */
                   9282:     if (line[0] == '#') {
                   9283:       numlinepar++;
                   9284:       fputs(line,stdout);
                   9285:       fputs(line,ficparo);
                   9286:       fputs(line,ficlog);
                   9287:       continue;
                   9288:     }else
                   9289:       break;
                   9290:   }
1.223     brouard  9291:   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", \
                   9292:                        &ftol, &stepm, &ncovcol, &nqv, &ntv, &nqtv, &nlstate, &ndeath, &maxwav, &mle, &weightopt)) !=EOF){
                   9293:     if (num_filled != 11) {
                   9294:       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  9295:       printf("but line=%s\n",line);
1.197     brouard  9296:     }
1.223     brouard  9297:     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  9298:   }
1.203     brouard  9299:   /* ftolpl=6*ftol*1.e5; /\* 6.e-3 make convergences in less than 80 loops for the prevalence limit *\/ */
1.209     brouard  9300:   /*ftolpl=6.e-4; *//* 6.e-3 make convergences in less than 80 loops for the prevalence limit */
1.197     brouard  9301:   /* Third parameter line */
                   9302:   while(fgets(line, MAXLINE, ficpar)) {
                   9303:     /* If line starts with a # it is a comment */
                   9304:     if (line[0] == '#') {
                   9305:       numlinepar++;
                   9306:       fputs(line,stdout);
                   9307:       fputs(line,ficparo);
                   9308:       fputs(line,ficlog);
                   9309:       continue;
                   9310:     }else
                   9311:       break;
                   9312:   }
1.201     brouard  9313:   if((num_filled=sscanf(line,"model=1+age%[^.\n]", model)) !=EOF){
                   9314:     if (num_filled == 0)
                   9315:             model[0]='\0';
                   9316:     else if (num_filled != 1){
1.197     brouard  9317:       printf("ERROR %d: Model should be at minimum 'model=1+age.' %s\n",num_filled, line);
                   9318:       fprintf(ficlog,"ERROR %d: Model should be at minimum 'model=1+age.' %s\n",num_filled, line);
                   9319:       model[0]='\0';
                   9320:       goto end;
                   9321:     }
                   9322:     else{
                   9323:       if (model[0]=='+'){
                   9324:        for(i=1; i<=strlen(model);i++)
                   9325:          modeltemp[i-1]=model[i];
1.201     brouard  9326:        strcpy(model,modeltemp); 
1.197     brouard  9327:       }
                   9328:     }
1.199     brouard  9329:     /* printf(" model=1+age%s modeltemp= %s, model=%s\n",model, modeltemp, model);fflush(stdout); */
1.203     brouard  9330:     printf("model=1+age+%s\n",model);fflush(stdout);
1.197     brouard  9331:   }
                   9332:   /* 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); */
                   9333:   /* numlinepar=numlinepar+3; /\* In general *\/ */
                   9334:   /* 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  9335:   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);
                   9336:   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  9337:   fflush(ficlog);
1.190     brouard  9338:   /* if(model[0]=='#'|| model[0]== '\0'){ */
                   9339:   if(model[0]=='#'){
1.187     brouard  9340:     printf("Error in 'model' line: model should start with 'model=1+age+' and end with '.' \n \
                   9341:  'model=1+age+.' or 'model=1+age+V1.' or 'model=1+age+age*age+V1+V1*age.' or \n \
                   9342:  'model=1+age+V1+V2.' or 'model=1+age+V1+V2+V1*V2.' etc. \n");         \
                   9343:     if(mle != -1){
                   9344:       printf("Fix the model line and run imach with mle=-1 to get a correct template of the parameter file.\n");
                   9345:       exit(1);
                   9346:     }
                   9347:   }
1.126     brouard  9348:   while((c=getc(ficpar))=='#' && c!= EOF){
                   9349:     ungetc(c,ficpar);
                   9350:     fgets(line, MAXLINE, ficpar);
                   9351:     numlinepar++;
1.195     brouard  9352:     if(line[1]=='q'){ /* This #q will quit imach (the answer is q) */
                   9353:       z[0]=line[1];
                   9354:     }
                   9355:     /* printf("****line [1] = %c \n",line[1]); */
1.141     brouard  9356:     fputs(line, stdout);
                   9357:     //puts(line);
1.126     brouard  9358:     fputs(line,ficparo);
                   9359:     fputs(line,ficlog);
                   9360:   }
                   9361:   ungetc(c,ficpar);
                   9362: 
                   9363:    
1.145     brouard  9364:   covar=matrix(0,NCOVMAX,1,n);  /**< used in readdata */
1.225     brouard  9365:   coqvar=matrix(1,nqv,1,n);  /**< Fixed quantitative covariate */
1.233   ! brouard  9366:   cotvar=ma3x(1,maxwav,1,ntv+nqtv,1,n);  /**< Time varying covariate (dummy and quantitative)*/
1.225     brouard  9367:   cotqvar=ma3x(1,maxwav,1,nqtv,1,n);  /**< Time varying quantitative covariate */
1.136     brouard  9368:   cptcovn=0; /*Number of covariates, i.e. number of '+' in model statement plus one, indepently of n in Vn*/
                   9369:   /* v1+v2+v3+v2*v4+v5*age makes cptcovn = 5
                   9370:      v1+v2*age+v2*v3 makes cptcovn = 3
                   9371:   */
                   9372:   if (strlen(model)>1) 
1.187     brouard  9373:     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  9374:   else
1.187     brouard  9375:     ncovmodel=2; /* Constant and age */
1.133     brouard  9376:   nforce= (nlstate+ndeath-1)*nlstate; /* Number of forces ij from state i to j */
                   9377:   npar= nforce*ncovmodel; /* Number of parameters like aij*/
1.131     brouard  9378:   if(npar >MAXPARM || nlstate >NLSTATEMAX || ndeath >NDEATHMAX || ncovmodel>NCOVMAX){
                   9379:     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);
                   9380:     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);
                   9381:     fflush(stdout);
                   9382:     fclose (ficlog);
                   9383:     goto end;
                   9384:   }
1.126     brouard  9385:   delti3= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
                   9386:   delti=delti3[1][1];
                   9387:   /*delti=vector(1,npar); *//* Scale of each paramater (output from hesscov)*/
                   9388:   if(mle==-1){ /* Print a wizard for help writing covariance matrix */
                   9389:     prwizard(ncovmodel, nlstate, ndeath, model, ficparo);
1.191     brouard  9390:     printf(" You chose mle=-1, look at file %s for a template of covariance matrix \n",filereso);
                   9391:     fprintf(ficlog," You chose mle=-1, look at file %s for a template of covariance matrix \n",filereso);
1.126     brouard  9392:     free_ma3x(delti3,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel); 
                   9393:     fclose (ficparo);
                   9394:     fclose (ficlog);
                   9395:     goto end;
                   9396:     exit(0);
1.220     brouard  9397:   }  else if(mle==-5) { /* Main Wizard */
1.126     brouard  9398:     prwizard(ncovmodel, nlstate, ndeath, model, ficparo);
1.192     brouard  9399:     printf(" You chose mle=-3, look at file %s for a template of covariance matrix \n",filereso);
                   9400:     fprintf(ficlog," You chose mle=-3, look at file %s for a template of covariance matrix \n",filereso);
1.126     brouard  9401:     param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
                   9402:     matcov=matrix(1,npar,1,npar);
1.203     brouard  9403:     hess=matrix(1,npar,1,npar);
1.220     brouard  9404:   }  else{ /* Begin of mle != -1 or -5 */
1.145     brouard  9405:     /* Read guessed parameters */
1.126     brouard  9406:     /* Reads comments: lines beginning with '#' */
                   9407:     while((c=getc(ficpar))=='#' && c!= EOF){
                   9408:       ungetc(c,ficpar);
                   9409:       fgets(line, MAXLINE, ficpar);
                   9410:       numlinepar++;
1.141     brouard  9411:       fputs(line,stdout);
1.126     brouard  9412:       fputs(line,ficparo);
                   9413:       fputs(line,ficlog);
                   9414:     }
                   9415:     ungetc(c,ficpar);
                   9416:     
                   9417:     param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
                   9418:     for(i=1; i <=nlstate; i++){
1.220     brouard  9419:                        j=0;
1.126     brouard  9420:       for(jj=1; jj <=nlstate+ndeath; jj++){
1.220     brouard  9421:                                if(jj==i) continue;
                   9422:                                j++;
                   9423:                                fscanf(ficpar,"%1d%1d",&i1,&j1);
                   9424:                                if ((i1 != i) || (j1 != jj)){
                   9425:                                        printf("Error in line parameters number %d, %1d%1d instead of %1d%1d \n \
1.126     brouard  9426: It might be a problem of design; if ncovcol and the model are correct\n \
                   9427: run imach with mle=-1 to get a correct template of the parameter file.\n",numlinepar, i,j, i1, j1);
1.220     brouard  9428:                                        exit(1);
                   9429:                                }
                   9430:                                fprintf(ficparo,"%1d%1d",i1,j1);
                   9431:                                if(mle==1)
                   9432:                                        printf("%1d%1d",i,jj);
                   9433:                                fprintf(ficlog,"%1d%1d",i,jj);
                   9434:                                for(k=1; k<=ncovmodel;k++){
                   9435:                                        fscanf(ficpar," %lf",&param[i][j][k]);
                   9436:                                        if(mle==1){
                   9437:                                                printf(" %lf",param[i][j][k]);
                   9438:                                                fprintf(ficlog," %lf",param[i][j][k]);
                   9439:                                        }
                   9440:                                        else
                   9441:                                                fprintf(ficlog," %lf",param[i][j][k]);
                   9442:                                        fprintf(ficparo," %lf",param[i][j][k]);
                   9443:                                }
                   9444:                                fscanf(ficpar,"\n");
                   9445:                                numlinepar++;
                   9446:                                if(mle==1)
                   9447:                                        printf("\n");
                   9448:                                fprintf(ficlog,"\n");
                   9449:                                fprintf(ficparo,"\n");
1.126     brouard  9450:       }
                   9451:     }  
                   9452:     fflush(ficlog);
                   9453: 
1.145     brouard  9454:     /* Reads scales values */
1.126     brouard  9455:     p=param[1][1];
                   9456:     
                   9457:     /* Reads comments: lines beginning with '#' */
                   9458:     while((c=getc(ficpar))=='#' && c!= EOF){
                   9459:       ungetc(c,ficpar);
                   9460:       fgets(line, MAXLINE, ficpar);
                   9461:       numlinepar++;
1.141     brouard  9462:       fputs(line,stdout);
1.126     brouard  9463:       fputs(line,ficparo);
                   9464:       fputs(line,ficlog);
                   9465:     }
                   9466:     ungetc(c,ficpar);
                   9467: 
                   9468:     for(i=1; i <=nlstate; i++){
                   9469:       for(j=1; j <=nlstate+ndeath-1; j++){
1.220     brouard  9470:                                fscanf(ficpar,"%1d%1d",&i1,&j1);
                   9471:                                if ( (i1-i) * (j1-j) != 0){
                   9472:                                        printf("Error in line parameters number %d, %1d%1d instead of %1d%1d \n",numlinepar, i,j, i1, j1);
                   9473:                                        exit(1);
                   9474:                                }
                   9475:                                printf("%1d%1d",i,j);
                   9476:                                fprintf(ficparo,"%1d%1d",i1,j1);
                   9477:                                fprintf(ficlog,"%1d%1d",i1,j1);
                   9478:                                for(k=1; k<=ncovmodel;k++){
                   9479:                                        fscanf(ficpar,"%le",&delti3[i][j][k]);
                   9480:                                        printf(" %le",delti3[i][j][k]);
                   9481:                                        fprintf(ficparo," %le",delti3[i][j][k]);
                   9482:                                        fprintf(ficlog," %le",delti3[i][j][k]);
                   9483:                                }
                   9484:                                fscanf(ficpar,"\n");
                   9485:                                numlinepar++;
                   9486:                                printf("\n");
                   9487:                                fprintf(ficparo,"\n");
                   9488:                                fprintf(ficlog,"\n");
1.126     brouard  9489:       }
                   9490:     }
                   9491:     fflush(ficlog);
1.220     brouard  9492:                
1.145     brouard  9493:     /* Reads covariance matrix */
1.126     brouard  9494:     delti=delti3[1][1];
1.220     brouard  9495:                
                   9496:                
1.126     brouard  9497:     /* 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  9498:                
1.126     brouard  9499:     /* Reads comments: lines beginning with '#' */
                   9500:     while((c=getc(ficpar))=='#' && c!= EOF){
                   9501:       ungetc(c,ficpar);
                   9502:       fgets(line, MAXLINE, ficpar);
                   9503:       numlinepar++;
1.141     brouard  9504:       fputs(line,stdout);
1.126     brouard  9505:       fputs(line,ficparo);
                   9506:       fputs(line,ficlog);
                   9507:     }
                   9508:     ungetc(c,ficpar);
1.220     brouard  9509:                
1.126     brouard  9510:     matcov=matrix(1,npar,1,npar);
1.203     brouard  9511:     hess=matrix(1,npar,1,npar);
1.131     brouard  9512:     for(i=1; i <=npar; i++)
                   9513:       for(j=1; j <=npar; j++) matcov[i][j]=0.;
1.220     brouard  9514:                
1.194     brouard  9515:     /* Scans npar lines */
1.126     brouard  9516:     for(i=1; i <=npar; i++){
1.226     brouard  9517:       count=fscanf(ficpar,"%1d%1d%d",&i1,&j1,&jk);
1.194     brouard  9518:       if(count != 3){
1.226     brouard  9519:        printf("Error! Error in parameter file %s at line %d after line starting with %1d%1d%1d\n\
1.194     brouard  9520: This is probably because your covariance matrix doesn't \n  contain exactly %d lines corresponding to your model line '1+age+%s'.\n\
                   9521: Please run with mle=-1 to get a correct covariance matrix.\n",optionfile,numlinepar, i1,j1,jk, npar, model);
1.226     brouard  9522:        fprintf(ficlog,"Error! Error in parameter file %s at line %d after line starting with %1d%1d%1d\n\
1.194     brouard  9523: This is probably because your covariance matrix doesn't \n  contain exactly %d lines corresponding to your model line '1+age+%s'.\n\
                   9524: Please run with mle=-1 to get a correct covariance matrix.\n",optionfile,numlinepar, i1,j1,jk, npar, model);
1.226     brouard  9525:        exit(1);
1.220     brouard  9526:       }else{
1.226     brouard  9527:        if(mle==1)
                   9528:          printf("%1d%1d%d",i1,j1,jk);
                   9529:       }
                   9530:       fprintf(ficlog,"%1d%1d%d",i1,j1,jk);
                   9531:       fprintf(ficparo,"%1d%1d%d",i1,j1,jk);
1.126     brouard  9532:       for(j=1; j <=i; j++){
1.226     brouard  9533:        fscanf(ficpar," %le",&matcov[i][j]);
                   9534:        if(mle==1){
                   9535:          printf(" %.5le",matcov[i][j]);
                   9536:        }
                   9537:        fprintf(ficlog," %.5le",matcov[i][j]);
                   9538:        fprintf(ficparo," %.5le",matcov[i][j]);
1.126     brouard  9539:       }
                   9540:       fscanf(ficpar,"\n");
                   9541:       numlinepar++;
                   9542:       if(mle==1)
1.220     brouard  9543:                                printf("\n");
1.126     brouard  9544:       fprintf(ficlog,"\n");
                   9545:       fprintf(ficparo,"\n");
                   9546:     }
1.194     brouard  9547:     /* End of read covariance matrix npar lines */
1.126     brouard  9548:     for(i=1; i <=npar; i++)
                   9549:       for(j=i+1;j<=npar;j++)
1.226     brouard  9550:        matcov[i][j]=matcov[j][i];
1.126     brouard  9551:     
                   9552:     if(mle==1)
                   9553:       printf("\n");
                   9554:     fprintf(ficlog,"\n");
                   9555:     
                   9556:     fflush(ficlog);
                   9557:     
                   9558:     /*-------- Rewriting parameter file ----------*/
                   9559:     strcpy(rfileres,"r");    /* "Rparameterfile */
                   9560:     strcat(rfileres,optionfilefiname);    /* Parameter file first name*/
                   9561:     strcat(rfileres,".");    /* */
                   9562:     strcat(rfileres,optionfilext);    /* Other files have txt extension */
                   9563:     if((ficres =fopen(rfileres,"w"))==NULL) {
1.201     brouard  9564:       printf("Problem writing new parameter file: %s\n", rfileres);goto end;
                   9565:       fprintf(ficlog,"Problem writing new parameter file: %s\n", rfileres);goto end;
1.126     brouard  9566:     }
                   9567:     fprintf(ficres,"#%s\n",version);
                   9568:   }    /* End of mle != -3 */
1.218     brouard  9569:   
1.186     brouard  9570:   /*  Main data
                   9571:    */
1.126     brouard  9572:   n= lastobs;
                   9573:   num=lvector(1,n);
                   9574:   moisnais=vector(1,n);
                   9575:   annais=vector(1,n);
                   9576:   moisdc=vector(1,n);
                   9577:   andc=vector(1,n);
1.220     brouard  9578:   weight=vector(1,n);
1.126     brouard  9579:   agedc=vector(1,n);
                   9580:   cod=ivector(1,n);
1.220     brouard  9581:   for(i=1;i<=n;i++){
                   9582:                num[i]=0;
                   9583:                moisnais[i]=0;
                   9584:                annais[i]=0;
                   9585:                moisdc[i]=0;
                   9586:                andc[i]=0;
                   9587:                agedc[i]=0;
                   9588:                cod[i]=0;
                   9589:                weight[i]=1.0; /* Equal weights, 1 by default */
                   9590:        }
1.126     brouard  9591:   mint=matrix(1,maxwav,1,n);
                   9592:   anint=matrix(1,maxwav,1,n);
1.131     brouard  9593:   s=imatrix(1,maxwav+1,1,n); /* s[i][j] health state for wave i and individual j */ 
1.126     brouard  9594:   tab=ivector(1,NCOVMAX);
1.144     brouard  9595:   ncodemax=ivector(1,NCOVMAX); /* Number of code per covariate; if O and 1 only, 2**ncov; V1+V2+V3+V4=>16 */
1.192     brouard  9596:   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  9597: 
1.136     brouard  9598:   /* Reads data from file datafile */
                   9599:   if (readdata(datafile, firstobs, lastobs, &imx)==1)
                   9600:     goto end;
                   9601: 
                   9602:   /* Calculation of the number of parameters from char model */
1.137     brouard  9603:     /*    modelsav=V2+V1+V4+age*V3 strb=age*V3 stra=V2+V1+V4 
                   9604:        k=4 (age*V3) Tvar[k=4]= 3 (from V3) Tag[cptcovage=1]=4
                   9605:        k=3 V4 Tvar[k=3]= 4 (from V4)
                   9606:        k=2 V1 Tvar[k=2]= 1 (from V1)
                   9607:        k=1 Tvar[1]=2 (from V2)
                   9608:     */
1.231     brouard  9609: 
                   9610:        Tvar=ivector(1,NCOVMAX); /* Was 15 changed to NCOVMAX. */
1.232     brouard  9611:   TvarF=ivector(1,NCOVMAX); /*  */
                   9612:   TvarFind=ivector(1,NCOVMAX); /*  */
                   9613:   TvarV=ivector(1,NCOVMAX); /*  */
                   9614:   TvarVind=ivector(1,NCOVMAX); /*  */
                   9615:   TvarA=ivector(1,NCOVMAX); /*  */
                   9616:   TvarAind=ivector(1,NCOVMAX); /*  */
1.231     brouard  9617:   TvarFD=ivector(1,NCOVMAX); /*  */
                   9618:   TvarFDind=ivector(1,NCOVMAX); /*  */
                   9619:   TvarFQ=ivector(1,NCOVMAX); /*  */
                   9620:   TvarFQind=ivector(1,NCOVMAX); /*  */
                   9621:   TvarVD=ivector(1,NCOVMAX); /*  */
                   9622:   TvarVDind=ivector(1,NCOVMAX); /*  */
                   9623:   TvarVQ=ivector(1,NCOVMAX); /*  */
                   9624:   TvarVQind=ivector(1,NCOVMAX); /*  */
                   9625: 
1.230     brouard  9626:   Tvalsel=vector(1,NCOVMAX); /*  */
1.233   ! brouard  9627:   Tvarsel=ivector(1,NCOVMAX); /*  */
1.226     brouard  9628:   Typevar=ivector(-1,NCOVMAX); /* -1 to 2 */
                   9629:   Fixed=ivector(-1,NCOVMAX); /* -1 to 3 */
                   9630:   Dummy=ivector(-1,NCOVMAX); /* -1 to 3 */
1.137     brouard  9631:   /*  V2+V1+V4+age*V3 is a model with 4 covariates (3 plus signs). 
                   9632:       For each model-covariate stores the data-covariate id. Tvar[1]=2, Tvar[2]=1, Tvar[3]=4, 
                   9633:       Tvar[4=age*V3] is 3 and 'age' is recorded in Tage.
                   9634:   */
                   9635:   /* For model-covariate k tells which data-covariate to use but
                   9636:     because this model-covariate is a construction we invent a new column
                   9637:     ncovcol + k1
                   9638:     If already ncovcol=4 and model=V2+V1+V1*V4+age*V3
                   9639:     Tvar[3=V1*V4]=4+1 etc */
1.227     brouard  9640:   Tprod=ivector(1,NCOVMAX); /* Gives the k position of the k1 product */
                   9641:   Tposprod=ivector(1,NCOVMAX); /* Gives the k1 product from the k position */
1.137     brouard  9642:   /* Tprod[k1=1]=3(=V1*V4) for V2+V1+V1*V4+age*V3
                   9643:      if  V2+V1+V1*V4+age*V3+V3*V2   TProd[k1=2]=5 (V3*V2)
1.227     brouard  9644:      Tposprod[k]=k1 , Tposprod[3]=1, Tposprod[5]=2 
1.137     brouard  9645:   */
1.145     brouard  9646:   Tvaraff=ivector(1,NCOVMAX); /* Unclear */
                   9647:   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  9648:                            * For V3*V2 (in V2+V1+V1*V4+age*V3+V3*V2), V3*V2 position is 2nd. 
                   9649:                            * Tvard[k1=2][1]=3 (V3) Tvard[k1=2][2]=2(V2) */
1.145     brouard  9650:   Tage=ivector(1,NCOVMAX); /* Gives the covariate id of covariates associated with age: V2 + V1 + age*V4 + V3*age
1.137     brouard  9651:                         4 covariates (3 plus signs)
                   9652:                         Tage[1=V3*age]= 4; Tage[2=age*V4] = 3
                   9653:                      */  
1.230     brouard  9654:   Tmodelind=ivector(1,NCOVMAX);/** gives the k model position of an
1.227     brouard  9655:                                * individual dummy, fixed or varying:
                   9656:                                * Tmodelind[Tvaraff[3]]=9,Tvaraff[1]@9={4,
                   9657:                                * 3, 1, 0, 0, 0, 0, 0, 0},
1.230     brouard  9658:                                * model=V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1 , 
                   9659:                                * V1 df, V2 qf, V3 & V4 dv, V5 qv
                   9660:                                * Tmodelind[1]@9={9,0,3,2,}*/
                   9661:   TmodelInvind=ivector(1,NCOVMAX); /* TmodelInvind=Tvar[k]- ncovcol-nqv={5-2-1=2,*/
                   9662:   TmodelInvQind=ivector(1,NCOVMAX);/** gives the k model position of an
1.228     brouard  9663:                                * individual quantitative, fixed or varying:
                   9664:                                * Tmodelqind[1]=1,Tvaraff[1]@9={4,
                   9665:                                * 3, 1, 0, 0, 0, 0, 0, 0},
                   9666:                                * model=V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1*/
1.186     brouard  9667: /* Main decodemodel */
                   9668: 
1.187     brouard  9669: 
1.223     brouard  9670:   if(decodemodel(model, lastobs) == 1) /* In order to get Tvar[k] V4+V3+V5 p Tvar[1]@3  = {4, 3, 5}*/
1.136     brouard  9671:     goto end;
                   9672: 
1.137     brouard  9673:   if((double)(lastobs-imx)/(double)imx > 1.10){
                   9674:     nbwarn++;
                   9675:     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); 
                   9676:     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); 
                   9677:   }
1.136     brouard  9678:     /*  if(mle==1){*/
1.137     brouard  9679:   if (weightopt != 1) { /* Maximisation without weights. We can have weights different from 1 but want no weight*/
                   9680:     for(i=1;i<=imx;i++) weight[i]=1.0; /* changed to imx */
1.136     brouard  9681:   }
                   9682: 
                   9683:     /*-calculation of age at interview from date of interview and age at death -*/
                   9684:   agev=matrix(1,maxwav,1,imx);
                   9685: 
                   9686:   if(calandcheckages(imx, maxwav, &agemin, &agemax, &nberr, &nbwarn) == 1)
                   9687:     goto end;
                   9688: 
1.126     brouard  9689: 
1.136     brouard  9690:   agegomp=(int)agemin;
                   9691:   free_vector(moisnais,1,n);
                   9692:   free_vector(annais,1,n);
1.126     brouard  9693:   /* free_matrix(mint,1,maxwav,1,n);
                   9694:      free_matrix(anint,1,maxwav,1,n);*/
1.215     brouard  9695:   /* free_vector(moisdc,1,n); */
                   9696:   /* free_vector(andc,1,n); */
1.145     brouard  9697:   /* */
                   9698:   
1.126     brouard  9699:   wav=ivector(1,imx);
1.214     brouard  9700:   /* dh=imatrix(1,lastpass-firstpass+1,1,imx); */
                   9701:   /* bh=imatrix(1,lastpass-firstpass+1,1,imx); */
                   9702:   /* mw=imatrix(1,lastpass-firstpass+1,1,imx); */
                   9703:   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.*/
                   9704:   bh=imatrix(1,lastpass-firstpass+2,1,imx);
                   9705:   mw=imatrix(1,lastpass-firstpass+2,1,imx);
1.126     brouard  9706:    
                   9707:   /* Concatenates waves */
1.214     brouard  9708:   /* Concatenates waves: wav[i] is the number of effective (useful waves) of individual i.
                   9709:      Death is a valid wave (if date is known).
                   9710:      mw[mi][i] is the number of (mi=1 to wav[i]) effective wave out of mi of individual i
                   9711:      dh[m][i] or dh[mw[mi][i]][i] is the delay between two effective waves m=mw[mi][i]
                   9712:      and mw[mi+1][i]. dh depends on stepm.
                   9713:   */
                   9714: 
1.126     brouard  9715:   concatwav(wav, dh, bh, mw, s, agedc, agev,  firstpass, lastpass, imx, nlstate, stepm);
1.145     brouard  9716:   /* */
                   9717:  
1.215     brouard  9718:   free_vector(moisdc,1,n);
                   9719:   free_vector(andc,1,n);
                   9720: 
1.126     brouard  9721:   /* Routine tricode is to calculate cptcoveff (real number of unique covariates) and to associate covariable number and modality */
                   9722:   nbcode=imatrix(0,NCOVMAX,0,NCOVMAX); 
                   9723:   ncodemax[1]=1;
1.145     brouard  9724:   Ndum =ivector(-1,NCOVMAX);  
1.225     brouard  9725:   cptcoveff=0;
1.220     brouard  9726:   if (ncovmodel-nagesqr > 2 ){ /* That is if covariate other than cst, age and age*age */
                   9727:     tricode(&cptcoveff,Tvar,nbcode,imx, Ndum); /**< Fills nbcode[Tvar[j]][l]; */
1.227     brouard  9728:   }
                   9729:   
                   9730:   ncovcombmax=pow(2,cptcoveff);
                   9731:   invalidvarcomb=ivector(1, ncovcombmax); 
                   9732:   for(i=1;i<ncovcombmax;i++)
                   9733:     invalidvarcomb[i]=0;
                   9734:   
1.211     brouard  9735:   /* Nbcode gives the value of the lth modality (currently 1 to 2) of jth covariate, in
1.186     brouard  9736:      V2+V1*age, there are 3 covariates Tvar[2]=1 (V1).*/
1.211     brouard  9737:   /* 1 to ncodemax[j] which is the maximum value of this jth covariate */
1.227     brouard  9738:   
1.200     brouard  9739:   /*  codtab=imatrix(1,100,1,10);*/ /* codtab[h,k]=( (h-1) - mod(k-1,2**(k-1) )/2**(k-1) */
1.198     brouard  9740:   /*printf(" codtab[1,1],codtab[100,10]=%d,%d\n", codtab[1][1],codtabm(100,10));*/
1.186     brouard  9741:   /* codtab gives the value 1 or 2 of the hth combination of k covariates (1 or 2).*/
1.211     brouard  9742:   /* nbcode[Tvaraff[j]][codtabm(h,j)]) : if there are only 2 modalities for a covariate j, 
                   9743:    * codtabm(h,j) gives its value classified at position h and nbcode gives how it is coded 
                   9744:    * (currently 0 or 1) in the data.
                   9745:    * In a loop on h=1 to 2**k, and a loop on j (=1 to k), we get the value of 
                   9746:    * corresponding modality (h,j).
                   9747:    */
                   9748: 
1.145     brouard  9749:   h=0;
                   9750:   /*if (cptcovn > 0) */
1.126     brouard  9751:   m=pow(2,cptcoveff);
                   9752:  
1.144     brouard  9753:          /**< codtab(h,k)  k   = codtab[h,k]=( (h-1) - mod(k-1,2**(k-1) )/2**(k-1) + 1
1.211     brouard  9754:           * For k=4 covariates, h goes from 1 to m=2**k
                   9755:           * codtabm(h,k)=  (1 & (h-1) >> (k-1)) + 1;
                   9756:            * #define codtabm(h,k)  (1 & (h-1) >> (k-1))+1
1.186     brouard  9757:           *     h\k   1     2     3     4
1.143     brouard  9758:           *______________________________  
                   9759:           *     1 i=1 1 i=1 1 i=1 1 i=1 1
                   9760:           *     2     2     1     1     1
                   9761:           *     3 i=2 1     2     1     1
                   9762:           *     4     2     2     1     1
                   9763:           *     5 i=3 1 i=2 1     2     1
                   9764:           *     6     2     1     2     1
                   9765:           *     7 i=4 1     2     2     1
                   9766:           *     8     2     2     2     1
1.197     brouard  9767:           *     9 i=5 1 i=3 1 i=2 1     2
                   9768:           *    10     2     1     1     2
                   9769:           *    11 i=6 1     2     1     2
                   9770:           *    12     2     2     1     2
                   9771:           *    13 i=7 1 i=4 1     2     2    
                   9772:           *    14     2     1     2     2
                   9773:           *    15 i=8 1     2     2     2
                   9774:           *    16     2     2     2     2
1.143     brouard  9775:           */
1.212     brouard  9776:   /* How to do the opposite? From combination h (=1 to 2**k) how to get the value on the covariates? */
1.211     brouard  9777:      /* from h=5 and m, we get then number of covariates k=log(m)/log(2)=4
                   9778:      * and the value of each covariate?
                   9779:      * V1=1, V2=1, V3=2, V4=1 ?
                   9780:      * h-1=4 and 4 is 0100 or reverse 0010, and +1 is 1121 ok.
                   9781:      * h=6, 6-1=5, 5 is 0101, 1010, 2121, V1=2nd, V2=1st, V3=2nd, V4=1st.
                   9782:      * In order to get the real value in the data, we use nbcode
                   9783:      * nbcode[Tvar[3][2nd]]=1 and nbcode[Tvar[4][1]]=0
                   9784:      * We are keeping this crazy system in order to be able (in the future?) 
                   9785:      * to have more than 2 values (0 or 1) for a covariate.
                   9786:      * #define codtabm(h,k)  (1 & (h-1) >> (k-1))+1
                   9787:      * h=6, k=2? h-1=5=0101, reverse 1010, +1=2121, k=2nd position: value is 1: codtabm(6,2)=1
                   9788:      *              bbbbbbbb
                   9789:      *              76543210     
                   9790:      *   h-1        00000101 (6-1=5)
1.219     brouard  9791:      *(h-1)>>(k-1)= 00000010 >> (2-1) = 1 right shift
1.211     brouard  9792:      *           &
                   9793:      *     1        00000001 (1)
1.219     brouard  9794:      *              00000000        = 1 & ((h-1) >> (k-1))
                   9795:      *          +1= 00000001 =1 
1.211     brouard  9796:      *
                   9797:      * h=14, k=3 => h'=h-1=13, k'=k-1=2
                   9798:      *          h'      1101 =2^3+2^2+0x2^1+2^0
                   9799:      *    >>k'            11
                   9800:      *          &   00000001
                   9801:      *            = 00000001
                   9802:      *      +1    = 00000010=2    =  codtabm(14,3)   
                   9803:      * Reverse h=6 and m=16?
                   9804:      * cptcoveff=log(16)/log(2)=4 covariate: 6-1=5=0101 reversed=1010 +1=2121 =>V1=2, V2=1, V3=2, V4=1.
                   9805:      * for (j=1 to cptcoveff) Vj=decodtabm(j,h,cptcoveff)
                   9806:      * decodtabm(h,j,cptcoveff)= (((h-1) >> (j-1)) & 1) +1 
                   9807:      * decodtabm(h,j,cptcoveff)= (h <= (1<<cptcoveff)?(((h-1) >> (j-1)) & 1) +1 : -1)
                   9808:      * V3=decodtabm(14,3,2**4)=2
                   9809:      *          h'=13   1101 =2^3+2^2+0x2^1+2^0
                   9810:      *(h-1) >> (j-1)    0011 =13 >> 2
                   9811:      *          &1 000000001
                   9812:      *           = 000000001
                   9813:      *         +1= 000000010 =2
                   9814:      *                  2211
                   9815:      *                  V1=1+1, V2=0+1, V3=1+1, V4=1+1
                   9816:      *                  V3=2
1.220     brouard  9817:                 * codtabm and decodtabm are identical
1.211     brouard  9818:      */
                   9819: 
1.145     brouard  9820: 
                   9821:  free_ivector(Ndum,-1,NCOVMAX);
                   9822: 
                   9823: 
1.126     brouard  9824:     
1.186     brouard  9825:   /* Initialisation of ----------- gnuplot -------------*/
1.126     brouard  9826:   strcpy(optionfilegnuplot,optionfilefiname);
                   9827:   if(mle==-3)
1.201     brouard  9828:     strcat(optionfilegnuplot,"-MORT_");
1.126     brouard  9829:   strcat(optionfilegnuplot,".gp");
                   9830: 
                   9831:   if((ficgp=fopen(optionfilegnuplot,"w"))==NULL) {
                   9832:     printf("Problem with file %s",optionfilegnuplot);
                   9833:   }
                   9834:   else{
1.204     brouard  9835:     fprintf(ficgp,"\n# IMaCh-%s\n", version); 
1.126     brouard  9836:     fprintf(ficgp,"# %s\n", optionfilegnuplot); 
1.141     brouard  9837:     //fprintf(ficgp,"set missing 'NaNq'\n");
                   9838:     fprintf(ficgp,"set datafile missing 'NaNq'\n");
1.126     brouard  9839:   }
                   9840:   /*  fclose(ficgp);*/
1.186     brouard  9841: 
                   9842: 
                   9843:   /* Initialisation of --------- index.htm --------*/
1.126     brouard  9844: 
                   9845:   strcpy(optionfilehtm,optionfilefiname); /* Main html file */
                   9846:   if(mle==-3)
1.201     brouard  9847:     strcat(optionfilehtm,"-MORT_");
1.126     brouard  9848:   strcat(optionfilehtm,".htm");
                   9849:   if((fichtm=fopen(optionfilehtm,"w"))==NULL)    {
1.131     brouard  9850:     printf("Problem with %s \n",optionfilehtm);
                   9851:     exit(0);
1.126     brouard  9852:   }
                   9853: 
                   9854:   strcpy(optionfilehtmcov,optionfilefiname); /* Only for matrix of covariance */
                   9855:   strcat(optionfilehtmcov,"-cov.htm");
                   9856:   if((fichtmcov=fopen(optionfilehtmcov,"w"))==NULL)    {
                   9857:     printf("Problem with %s \n",optionfilehtmcov), exit(0);
                   9858:   }
                   9859:   else{
                   9860:   fprintf(fichtmcov,"<html><head>\n<title>IMaCh Cov %s</title></head>\n <body><font size=\"2\">%s <br> %s</font> \
                   9861: <hr size=\"2\" color=\"#EC5E5E\"> \n\
1.204     brouard  9862: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s<br>\n",\
1.126     brouard  9863:          optionfilehtmcov,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);
                   9864:   }
                   9865: 
1.213     brouard  9866:   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  9867: <hr size=\"2\" color=\"#EC5E5E\"> \n\
                   9868: <font size=\"2\">IMaCh-%s <br> %s</font> \
1.126     brouard  9869: <hr size=\"2\" color=\"#EC5E5E\"> \n\
1.204     brouard  9870: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s<br>\n\
1.126     brouard  9871: \n\
                   9872: <hr  size=\"2\" color=\"#EC5E5E\">\
                   9873:  <ul><li><h4>Parameter files</h4>\n\
                   9874:  - Parameter file: <a href=\"%s.%s\">%s.%s</a><br>\n\
                   9875:  - Copy of the parameter file: <a href=\"o%s\">o%s</a><br>\n\
                   9876:  - Log file of the run: <a href=\"%s\">%s</a><br>\n\
                   9877:  - Gnuplot file name: <a href=\"%s\">%s</a><br>\n\
                   9878:  - Date and time at start: %s</ul>\n",\
                   9879:          optionfilehtm,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model,\
                   9880:          optionfilefiname,optionfilext,optionfilefiname,optionfilext,\
                   9881:          fileres,fileres,\
                   9882:          filelog,filelog,optionfilegnuplot,optionfilegnuplot,strstart);
                   9883:   fflush(fichtm);
                   9884: 
                   9885:   strcpy(pathr,path);
                   9886:   strcat(pathr,optionfilefiname);
1.184     brouard  9887: #ifdef WIN32
                   9888:   _chdir(optionfilefiname); /* Move to directory named optionfile */
                   9889: #else
1.126     brouard  9890:   chdir(optionfilefiname); /* Move to directory named optionfile */
1.184     brouard  9891: #endif
                   9892:          
1.126     brouard  9893:   
1.220     brouard  9894:   /* Calculates basic frequencies. Computes observed prevalence at single age 
                   9895:                 and for any valid combination of covariates
1.126     brouard  9896:      and prints on file fileres'p'. */
1.227     brouard  9897:   freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx, Tvaraff, invalidvarcomb, nbcode, ncodemax,mint,anint,strstart, \
                   9898:              firstpass, lastpass,  stepm,  weightopt, model);
1.126     brouard  9899: 
                   9900:   fprintf(fichtm,"\n");
                   9901:   fprintf(fichtm,"<br>Total number of observations=%d <br>\n\
                   9902: Youngest age at first (selected) pass %.2f, oldest age %.2f<br>\n\
                   9903: Interval (in months) between two waves: Min=%d Max=%d Mean=%.2lf<br>\n",\
                   9904:          imx,agemin,agemax,jmin,jmax,jmean);
                   9905:   pmmij= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
1.220     brouard  9906:        oldms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
                   9907:        newms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
                   9908:        savms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
                   9909:        oldm=oldms; newm=newms; savm=savms; /* Keeps fixed addresses to free */
1.218     brouard  9910: 
1.126     brouard  9911:   /* For Powell, parameters are in a vector p[] starting at p[1]
                   9912:      so we point p on param[1][1] so that p[1] maps on param[1][1][1] */
                   9913:   p=param[1][1]; /* *(*(*(param +1)+1)+0) */
                   9914: 
                   9915:   globpr=0; /* To get the number ipmx of contributions and the sum of weights*/
1.186     brouard  9916:   /* For mortality only */
1.126     brouard  9917:   if (mle==-3){
1.136     brouard  9918:     ximort=matrix(1,NDIM,1,NDIM); 
1.220     brouard  9919:                for(i=1;i<=NDIM;i++)
                   9920:                        for(j=1;j<=NDIM;j++)
                   9921:                                ximort[i][j]=0.;
1.186     brouard  9922:     /*     ximort=gsl_matrix_alloc(1,NDIM,1,NDIM); */
1.126     brouard  9923:     cens=ivector(1,n);
                   9924:     ageexmed=vector(1,n);
                   9925:     agecens=vector(1,n);
                   9926:     dcwave=ivector(1,n);
1.223     brouard  9927:                
1.126     brouard  9928:     for (i=1; i<=imx; i++){
                   9929:       dcwave[i]=-1;
                   9930:       for (m=firstpass; m<=lastpass; m++)
1.226     brouard  9931:        if (s[m][i]>nlstate) {
                   9932:          dcwave[i]=m;
                   9933:          /*    printf("i=%d j=%d s=%d dcwave=%d\n",i,j, s[j][i],dcwave[i]);*/
                   9934:          break;
                   9935:        }
1.126     brouard  9936:     }
1.226     brouard  9937:     
1.126     brouard  9938:     for (i=1; i<=imx; i++) {
                   9939:       if (wav[i]>0){
1.226     brouard  9940:        ageexmed[i]=agev[mw[1][i]][i];
                   9941:        j=wav[i];
                   9942:        agecens[i]=1.; 
                   9943:        
                   9944:        if (ageexmed[i]> 1 && wav[i] > 0){
                   9945:          agecens[i]=agev[mw[j][i]][i];
                   9946:          cens[i]= 1;
                   9947:        }else if (ageexmed[i]< 1) 
                   9948:          cens[i]= -1;
                   9949:        if (agedc[i]< AGESUP && agedc[i]>1 && dcwave[i]>firstpass && dcwave[i]<=lastpass)
                   9950:          cens[i]=0 ;
1.126     brouard  9951:       }
                   9952:       else cens[i]=-1;
                   9953:     }
                   9954:     
                   9955:     for (i=1;i<=NDIM;i++) {
                   9956:       for (j=1;j<=NDIM;j++)
1.226     brouard  9957:        ximort[i][j]=(i == j ? 1.0 : 0.0);
1.126     brouard  9958:     }
                   9959:     
1.145     brouard  9960:     /*p[1]=0.0268; p[NDIM]=0.083;*/
1.126     brouard  9961:     /*printf("%lf %lf", p[1], p[2]);*/
                   9962:     
                   9963:     
1.136     brouard  9964: #ifdef GSL
                   9965:     printf("GSL optimization\n");  fprintf(ficlog,"Powell\n");
1.162     brouard  9966: #else
1.126     brouard  9967:     printf("Powell\n");  fprintf(ficlog,"Powell\n");
1.136     brouard  9968: #endif
1.201     brouard  9969:     strcpy(filerespow,"POW-MORT_"); 
                   9970:     strcat(filerespow,fileresu);
1.126     brouard  9971:     if((ficrespow=fopen(filerespow,"w"))==NULL) {
                   9972:       printf("Problem with resultfile: %s\n", filerespow);
                   9973:       fprintf(ficlog,"Problem with resultfile: %s\n", filerespow);
                   9974:     }
1.136     brouard  9975: #ifdef GSL
                   9976:     fprintf(ficrespow,"# GSL optimization\n# iter -2*LL");
1.162     brouard  9977: #else
1.126     brouard  9978:     fprintf(ficrespow,"# Powell\n# iter -2*LL");
1.136     brouard  9979: #endif
1.126     brouard  9980:     /*  for (i=1;i<=nlstate;i++)
                   9981:        for(j=1;j<=nlstate+ndeath;j++)
                   9982:        if(j!=i)fprintf(ficrespow," p%1d%1d",i,j);
                   9983:     */
                   9984:     fprintf(ficrespow,"\n");
1.136     brouard  9985: #ifdef GSL
                   9986:     /* gsl starts here */ 
                   9987:     T = gsl_multimin_fminimizer_nmsimplex;
                   9988:     gsl_multimin_fminimizer *sfm = NULL;
                   9989:     gsl_vector *ss, *x;
                   9990:     gsl_multimin_function minex_func;
                   9991: 
                   9992:     /* Initial vertex size vector */
                   9993:     ss = gsl_vector_alloc (NDIM);
                   9994:     
                   9995:     if (ss == NULL){
                   9996:       GSL_ERROR_VAL ("failed to allocate space for ss", GSL_ENOMEM, 0);
                   9997:     }
                   9998:     /* Set all step sizes to 1 */
                   9999:     gsl_vector_set_all (ss, 0.001);
                   10000: 
                   10001:     /* Starting point */
1.126     brouard  10002:     
1.136     brouard  10003:     x = gsl_vector_alloc (NDIM);
                   10004:     
                   10005:     if (x == NULL){
                   10006:       gsl_vector_free(ss);
                   10007:       GSL_ERROR_VAL ("failed to allocate space for x", GSL_ENOMEM, 0);
                   10008:     }
                   10009:   
                   10010:     /* Initialize method and iterate */
                   10011:     /*     p[1]=0.0268; p[NDIM]=0.083; */
1.186     brouard  10012:     /*     gsl_vector_set(x, 0, 0.0268); */
                   10013:     /*     gsl_vector_set(x, 1, 0.083); */
1.136     brouard  10014:     gsl_vector_set(x, 0, p[1]);
                   10015:     gsl_vector_set(x, 1, p[2]);
                   10016: 
                   10017:     minex_func.f = &gompertz_f;
                   10018:     minex_func.n = NDIM;
                   10019:     minex_func.params = (void *)&p; /* ??? */
                   10020:     
                   10021:     sfm = gsl_multimin_fminimizer_alloc (T, NDIM);
                   10022:     gsl_multimin_fminimizer_set (sfm, &minex_func, x, ss);
                   10023:     
                   10024:     printf("Iterations beginning .....\n\n");
                   10025:     printf("Iter. #    Intercept       Slope     -Log Likelihood     Simplex size\n");
                   10026: 
                   10027:     iteri=0;
                   10028:     while (rval == GSL_CONTINUE){
                   10029:       iteri++;
                   10030:       status = gsl_multimin_fminimizer_iterate(sfm);
                   10031:       
                   10032:       if (status) printf("error: %s\n", gsl_strerror (status));
                   10033:       fflush(0);
                   10034:       
                   10035:       if (status) 
                   10036:         break;
                   10037:       
                   10038:       rval = gsl_multimin_test_size (gsl_multimin_fminimizer_size (sfm), 1e-6);
                   10039:       ssval = gsl_multimin_fminimizer_size (sfm);
                   10040:       
                   10041:       if (rval == GSL_SUCCESS)
                   10042:         printf ("converged to a local maximum at\n");
                   10043:       
                   10044:       printf("%5d ", iteri);
                   10045:       for (it = 0; it < NDIM; it++){
                   10046:        printf ("%10.5f ", gsl_vector_get (sfm->x, it));
                   10047:       }
                   10048:       printf("f() = %-10.5f ssize = %.7f\n", sfm->fval, ssval);
                   10049:     }
                   10050:     
                   10051:     printf("\n\n Please note: Program should be run many times with varying starting points to detemine global maximum\n\n");
                   10052:     
                   10053:     gsl_vector_free(x); /* initial values */
                   10054:     gsl_vector_free(ss); /* inital step size */
                   10055:     for (it=0; it<NDIM; it++){
                   10056:       p[it+1]=gsl_vector_get(sfm->x,it);
                   10057:       fprintf(ficrespow," %.12lf", p[it]);
                   10058:     }
                   10059:     gsl_multimin_fminimizer_free (sfm); /* p *(sfm.x.data) et p *(sfm.x.data+1)  */
                   10060: #endif
                   10061: #ifdef POWELL
                   10062:      powell(p,ximort,NDIM,ftol,&iter,&fret,gompertz);
                   10063: #endif  
1.126     brouard  10064:     fclose(ficrespow);
                   10065:     
1.203     brouard  10066:     hesscov(matcov, hess, p, NDIM, delti, 1e-4, gompertz); 
1.126     brouard  10067: 
                   10068:     for(i=1; i <=NDIM; i++)
                   10069:       for(j=i+1;j<=NDIM;j++)
1.220     brouard  10070:                                matcov[i][j]=matcov[j][i];
1.126     brouard  10071:     
                   10072:     printf("\nCovariance matrix\n ");
1.203     brouard  10073:     fprintf(ficlog,"\nCovariance matrix\n ");
1.126     brouard  10074:     for(i=1; i <=NDIM; i++) {
                   10075:       for(j=1;j<=NDIM;j++){ 
1.220     brouard  10076:                                printf("%f ",matcov[i][j]);
                   10077:                                fprintf(ficlog,"%f ",matcov[i][j]);
1.126     brouard  10078:       }
1.203     brouard  10079:       printf("\n ");  fprintf(ficlog,"\n ");
1.126     brouard  10080:     }
                   10081:     
                   10082:     printf("iter=%d MLE=%f Eq=%lf*exp(%lf*(age-%d))\n",iter,-gompertz(p),p[1],p[2],agegomp);
1.193     brouard  10083:     for (i=1;i<=NDIM;i++) {
1.126     brouard  10084:       printf("%f [%f ; %f]\n",p[i],p[i]-2*sqrt(matcov[i][i]),p[i]+2*sqrt(matcov[i][i]));
1.193     brouard  10085:       fprintf(ficlog,"%f [%f ; %f]\n",p[i],p[i]-2*sqrt(matcov[i][i]),p[i]+2*sqrt(matcov[i][i]));
                   10086:     }
1.126     brouard  10087:     lsurv=vector(1,AGESUP);
                   10088:     lpop=vector(1,AGESUP);
                   10089:     tpop=vector(1,AGESUP);
                   10090:     lsurv[agegomp]=100000;
                   10091:     
                   10092:     for (k=agegomp;k<=AGESUP;k++) {
                   10093:       agemortsup=k;
                   10094:       if (p[1]*exp(p[2]*(k-agegomp))>1) break;
                   10095:     }
                   10096:     
                   10097:     for (k=agegomp;k<agemortsup;k++)
                   10098:       lsurv[k+1]=lsurv[k]-lsurv[k]*(p[1]*exp(p[2]*(k-agegomp)));
                   10099:     
                   10100:     for (k=agegomp;k<agemortsup;k++){
                   10101:       lpop[k]=(lsurv[k]+lsurv[k+1])/2.;
                   10102:       sumlpop=sumlpop+lpop[k];
                   10103:     }
                   10104:     
                   10105:     tpop[agegomp]=sumlpop;
                   10106:     for (k=agegomp;k<(agemortsup-3);k++){
                   10107:       /*  tpop[k+1]=2;*/
                   10108:       tpop[k+1]=tpop[k]-lpop[k];
                   10109:     }
                   10110:     
                   10111:     
                   10112:     printf("\nAge   lx     qx    dx    Lx     Tx     e(x)\n");
                   10113:     for (k=agegomp;k<(agemortsup-2);k++) 
                   10114:       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]);
                   10115:     
                   10116:     
                   10117:     replace_back_to_slash(pathc,pathcd); /* Even gnuplot wants a / */
1.220     brouard  10118:                ageminpar=50;
                   10119:                agemaxpar=100;
1.194     brouard  10120:     if(ageminpar == AGEOVERFLOW ||agemaxpar == AGEOVERFLOW){
                   10121:        printf("Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
                   10122: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   10123: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
                   10124:        fprintf(ficlog,"Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
                   10125: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   10126: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
1.220     brouard  10127:     }else{
                   10128:                        printf("Warning! ageminpar %f and agemaxpar %f have been fixed because for simplification until it is fixed...\n\n",ageminpar,agemaxpar);
                   10129:                        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  10130:       printinggnuplotmort(fileresu, optionfilefiname,ageminpar,agemaxpar,fage, pathc,p);
1.220     brouard  10131:                }
1.201     brouard  10132:     printinghtmlmort(fileresu,title,datafile, firstpass, lastpass, \
1.126     brouard  10133:                     stepm, weightopt,\
                   10134:                     model,imx,p,matcov,agemortsup);
                   10135:     
                   10136:     free_vector(lsurv,1,AGESUP);
                   10137:     free_vector(lpop,1,AGESUP);
                   10138:     free_vector(tpop,1,AGESUP);
1.220     brouard  10139:     free_matrix(ximort,1,NDIM,1,NDIM);
1.136     brouard  10140:     free_ivector(cens,1,n);
                   10141:     free_vector(agecens,1,n);
                   10142:     free_ivector(dcwave,1,n);
1.220     brouard  10143: #ifdef GSL
1.136     brouard  10144: #endif
1.186     brouard  10145:   } /* Endof if mle==-3 mortality only */
1.205     brouard  10146:   /* Standard  */
                   10147:   else{ /* For mle !=- 3, could be 0 or 1 or 4 etc. */
                   10148:     globpr=0;/* Computes sum of likelihood for globpr=1 and funcone */
                   10149:     /* Computes likelihood for initial parameters, uses funcone to compute gpimx and gsw */
1.132     brouard  10150:     likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
1.126     brouard  10151:     printf("First Likeli=%12.6f ipmx=%ld sw=%12.6f",fretone,ipmx,sw);
                   10152:     for (k=1; k<=npar;k++)
                   10153:       printf(" %d %8.5f",k,p[k]);
                   10154:     printf("\n");
1.205     brouard  10155:     if(mle>=1){ /* Could be 1 or 2, Real Maximization */
                   10156:       /* mlikeli uses func not funcone */
                   10157:       mlikeli(ficres,p, npar, ncovmodel, nlstate, ftol, func);
                   10158:     }
                   10159:     if(mle==0) {/* No optimization, will print the likelihoods for the datafile */
                   10160:       globpr=0;/* Computes sum of likelihood for globpr=1 and funcone */
                   10161:       /* Computes likelihood for initial parameters, uses funcone to compute gpimx and gsw */
                   10162:       likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
                   10163:     }
                   10164:     globpr=1; /* again, to print the individual contributions using computed gpimx and gsw */
1.126     brouard  10165:     likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
                   10166:     printf("Second Likeli=%12.6f ipmx=%ld sw=%12.6f",fretone,ipmx,sw);
                   10167:     for (k=1; k<=npar;k++)
                   10168:       printf(" %d %8.5f",k,p[k]);
                   10169:     printf("\n");
                   10170:     
                   10171:     /*--------- results files --------------*/
1.224     brouard  10172:     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  10173:     
                   10174:     
                   10175:     fprintf(ficres,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   10176:     printf("# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   10177:     fprintf(ficlog,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   10178:     for(i=1,jk=1; i <=nlstate; i++){
                   10179:       for(k=1; k <=(nlstate+ndeath); k++){
1.225     brouard  10180:        if (k != i) {
                   10181:          printf("%d%d ",i,k);
                   10182:          fprintf(ficlog,"%d%d ",i,k);
                   10183:          fprintf(ficres,"%1d%1d ",i,k);
                   10184:          for(j=1; j <=ncovmodel; j++){
                   10185:            printf("%12.7f ",p[jk]);
                   10186:            fprintf(ficlog,"%12.7f ",p[jk]);
                   10187:            fprintf(ficres,"%12.7f ",p[jk]);
                   10188:            jk++; 
                   10189:          }
                   10190:          printf("\n");
                   10191:          fprintf(ficlog,"\n");
                   10192:          fprintf(ficres,"\n");
                   10193:        }
1.126     brouard  10194:       }
                   10195:     }
1.203     brouard  10196:     if(mle != 0){
                   10197:       /* Computing hessian and covariance matrix only at a peak of the Likelihood, that is after optimization */
1.126     brouard  10198:       ftolhess=ftol; /* Usually correct */
1.203     brouard  10199:       hesscov(matcov, hess, p, npar, delti, ftolhess, func);
                   10200:       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");
                   10201:       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");
                   10202:       for(i=1,jk=1; i <=nlstate; i++){
1.225     brouard  10203:        for(k=1; k <=(nlstate+ndeath); k++){
                   10204:          if (k != i) {
                   10205:            printf("%d%d ",i,k);
                   10206:            fprintf(ficlog,"%d%d ",i,k);
                   10207:            for(j=1; j <=ncovmodel; j++){
                   10208:              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]));
                   10209:              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]));
                   10210:              jk++; 
                   10211:            }
                   10212:            printf("\n");
                   10213:            fprintf(ficlog,"\n");
                   10214:          }
                   10215:        }
1.193     brouard  10216:       }
1.203     brouard  10217:     } /* end of hesscov and Wald tests */
1.225     brouard  10218:     
1.203     brouard  10219:     /*  */
1.126     brouard  10220:     fprintf(ficres,"# Scales (for hessian or gradient estimation)\n");
                   10221:     printf("# Scales (for hessian or gradient estimation)\n");
                   10222:     fprintf(ficlog,"# Scales (for hessian or gradient estimation)\n");
                   10223:     for(i=1,jk=1; i <=nlstate; i++){
                   10224:       for(j=1; j <=nlstate+ndeath; j++){
1.225     brouard  10225:        if (j!=i) {
                   10226:          fprintf(ficres,"%1d%1d",i,j);
                   10227:          printf("%1d%1d",i,j);
                   10228:          fprintf(ficlog,"%1d%1d",i,j);
                   10229:          for(k=1; k<=ncovmodel;k++){
                   10230:            printf(" %.5e",delti[jk]);
                   10231:            fprintf(ficlog," %.5e",delti[jk]);
                   10232:            fprintf(ficres," %.5e",delti[jk]);
                   10233:            jk++;
                   10234:          }
                   10235:          printf("\n");
                   10236:          fprintf(ficlog,"\n");
                   10237:          fprintf(ficres,"\n");
                   10238:        }
1.126     brouard  10239:       }
                   10240:     }
                   10241:     
                   10242:     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  10243:     if(mle >= 1) /* To big for the screen */
1.126     brouard  10244:       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");
                   10245:     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");
                   10246:     /* # 121 Var(a12)\n\ */
                   10247:     /* # 122 Cov(b12,a12) Var(b12)\n\ */
                   10248:     /* # 131 Cov(a13,a12) Cov(a13,b12, Var(a13)\n\ */
                   10249:     /* # 132 Cov(b13,a12) Cov(b13,b12, Cov(b13,a13) Var(b13)\n\ */
                   10250:     /* # 212 Cov(a21,a12) Cov(a21,b12, Cov(a21,a13) Cov(a21,b13) Var(a21)\n\ */
                   10251:     /* # 212 Cov(b21,a12) Cov(b21,b12, Cov(b21,a13) Cov(b21,b13) Cov(b21,a21) Var(b21)\n\ */
                   10252:     /* # 232 Cov(a23,a12) Cov(a23,b12, Cov(a23,a13) Cov(a23,b13) Cov(a23,a21) Cov(a23,b21) Var(a23)\n\ */
                   10253:     /* # 232 Cov(b23,a12) Cov(b23,b12) ... Var (b23)\n" */
                   10254:     
                   10255:     
                   10256:     /* Just to have a covariance matrix which will be more understandable
                   10257:        even is we still don't want to manage dictionary of variables
                   10258:     */
                   10259:     for(itimes=1;itimes<=2;itimes++){
                   10260:       jj=0;
                   10261:       for(i=1; i <=nlstate; i++){
1.225     brouard  10262:        for(j=1; j <=nlstate+ndeath; j++){
                   10263:          if(j==i) continue;
                   10264:          for(k=1; k<=ncovmodel;k++){
                   10265:            jj++;
                   10266:            ca[0]= k+'a'-1;ca[1]='\0';
                   10267:            if(itimes==1){
                   10268:              if(mle>=1)
                   10269:                printf("#%1d%1d%d",i,j,k);
                   10270:              fprintf(ficlog,"#%1d%1d%d",i,j,k);
                   10271:              fprintf(ficres,"#%1d%1d%d",i,j,k);
                   10272:            }else{
                   10273:              if(mle>=1)
                   10274:                printf("%1d%1d%d",i,j,k);
                   10275:              fprintf(ficlog,"%1d%1d%d",i,j,k);
                   10276:              fprintf(ficres,"%1d%1d%d",i,j,k);
                   10277:            }
                   10278:            ll=0;
                   10279:            for(li=1;li <=nlstate; li++){
                   10280:              for(lj=1;lj <=nlstate+ndeath; lj++){
                   10281:                if(lj==li) continue;
                   10282:                for(lk=1;lk<=ncovmodel;lk++){
                   10283:                  ll++;
                   10284:                  if(ll<=jj){
                   10285:                    cb[0]= lk +'a'-1;cb[1]='\0';
                   10286:                    if(ll<jj){
                   10287:                      if(itimes==1){
                   10288:                        if(mle>=1)
                   10289:                          printf(" Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   10290:                        fprintf(ficlog," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   10291:                        fprintf(ficres," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   10292:                      }else{
                   10293:                        if(mle>=1)
                   10294:                          printf(" %.5e",matcov[jj][ll]); 
                   10295:                        fprintf(ficlog," %.5e",matcov[jj][ll]); 
                   10296:                        fprintf(ficres," %.5e",matcov[jj][ll]); 
                   10297:                      }
                   10298:                    }else{
                   10299:                      if(itimes==1){
                   10300:                        if(mle>=1)
                   10301:                          printf(" Var(%s%1d%1d)",ca,i,j);
                   10302:                        fprintf(ficlog," Var(%s%1d%1d)",ca,i,j);
                   10303:                        fprintf(ficres," Var(%s%1d%1d)",ca,i,j);
                   10304:                      }else{
                   10305:                        if(mle>=1)
                   10306:                          printf(" %.7e",matcov[jj][ll]); 
                   10307:                        fprintf(ficlog," %.7e",matcov[jj][ll]); 
                   10308:                        fprintf(ficres," %.7e",matcov[jj][ll]); 
                   10309:                      }
                   10310:                    }
                   10311:                  }
                   10312:                } /* end lk */
                   10313:              } /* end lj */
                   10314:            } /* end li */
                   10315:            if(mle>=1)
                   10316:              printf("\n");
                   10317:            fprintf(ficlog,"\n");
                   10318:            fprintf(ficres,"\n");
                   10319:            numlinepar++;
                   10320:          } /* end k*/
                   10321:        } /*end j */
1.126     brouard  10322:       } /* end i */
                   10323:     } /* end itimes */
                   10324:     
                   10325:     fflush(ficlog);
                   10326:     fflush(ficres);
1.225     brouard  10327:     while(fgets(line, MAXLINE, ficpar)) {
                   10328:       /* If line starts with a # it is a comment */
                   10329:       if (line[0] == '#') {
                   10330:        numlinepar++;
                   10331:        fputs(line,stdout);
                   10332:        fputs(line,ficparo);
                   10333:        fputs(line,ficlog);
                   10334:        continue;
                   10335:       }else
                   10336:        break;
                   10337:     }
                   10338:     
1.209     brouard  10339:     /* while((c=getc(ficpar))=='#' && c!= EOF){ */
                   10340:     /*   ungetc(c,ficpar); */
                   10341:     /*   fgets(line, MAXLINE, ficpar); */
                   10342:     /*   fputs(line,stdout); */
                   10343:     /*   fputs(line,ficparo); */
                   10344:     /* } */
                   10345:     /* ungetc(c,ficpar); */
1.126     brouard  10346:     
                   10347:     estepm=0;
1.209     brouard  10348:     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  10349:       
                   10350:       if (num_filled != 6) {
                   10351:        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);
                   10352:        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);
                   10353:        goto end;
                   10354:       }
                   10355:       printf("agemin=%lf agemax=%lf bage=%lf fage=%lf estepm=%d ftolpl=%lf\n",ageminpar,agemaxpar, bage, fage, estepm, ftolpl);
                   10356:     }
                   10357:     /* ftolpl=6*ftol*1.e5; /\* 6.e-3 make convergences in less than 80 loops for the prevalence limit *\/ */
                   10358:     /*ftolpl=6.e-4;*/ /* 6.e-3 make convergences in less than 80 loops for the prevalence limit */
                   10359:     
1.209     brouard  10360:     /* fscanf(ficpar,"agemin=%lf agemax=%lf bage=%lf fage=%lf estepm=%d ftolpl=%\n",&ageminpar,&agemaxpar, &bage, &fage, &estepm); */
1.126     brouard  10361:     if (estepm==0 || estepm < stepm) estepm=stepm;
                   10362:     if (fage <= 2) {
                   10363:       bage = ageminpar;
                   10364:       fage = agemaxpar;
                   10365:     }
                   10366:     
                   10367:     fprintf(ficres,"# agemin agemax for life expectancy, bage fage (if mle==0 ie no data nor Max likelihood).\n");
1.211     brouard  10368:     fprintf(ficres,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d ftolpl=%e\n",ageminpar,agemaxpar,bage,fage, estepm, ftolpl);
                   10369:     fprintf(ficparo,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d, ftolpl=%e\n",ageminpar,agemaxpar,bage,fage, estepm, ftolpl);
1.220     brouard  10370:                
1.186     brouard  10371:     /* Other stuffs, more or less useful */    
1.126     brouard  10372:     while((c=getc(ficpar))=='#' && c!= EOF){
                   10373:       ungetc(c,ficpar);
                   10374:       fgets(line, MAXLINE, ficpar);
1.141     brouard  10375:       fputs(line,stdout);
1.126     brouard  10376:       fputs(line,ficparo);
                   10377:     }
                   10378:     ungetc(c,ficpar);
                   10379:     
                   10380:     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);
                   10381:     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);
                   10382:     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);
                   10383:     printf("begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf mov_average=%d\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,mobilav);
                   10384:     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);
                   10385:     
                   10386:     while((c=getc(ficpar))=='#' && c!= EOF){
                   10387:       ungetc(c,ficpar);
                   10388:       fgets(line, MAXLINE, ficpar);
1.141     brouard  10389:       fputs(line,stdout);
1.126     brouard  10390:       fputs(line,ficparo);
                   10391:     }
                   10392:     ungetc(c,ficpar);
                   10393:     
                   10394:     
                   10395:     dateprev1=anprev1+(mprev1-1)/12.+(jprev1-1)/365.;
                   10396:     dateprev2=anprev2+(mprev2-1)/12.+(jprev2-1)/365.;
                   10397:     
                   10398:     fscanf(ficpar,"pop_based=%d\n",&popbased);
1.193     brouard  10399:     fprintf(ficlog,"pop_based=%d\n",popbased);
1.126     brouard  10400:     fprintf(ficparo,"pop_based=%d\n",popbased);   
                   10401:     fprintf(ficres,"pop_based=%d\n",popbased);   
                   10402:     
                   10403:     while((c=getc(ficpar))=='#' && c!= EOF){
                   10404:       ungetc(c,ficpar);
                   10405:       fgets(line, MAXLINE, ficpar);
1.141     brouard  10406:       fputs(line,stdout);
1.126     brouard  10407:       fputs(line,ficparo);
                   10408:     }
                   10409:     ungetc(c,ficpar);
                   10410:     
                   10411:     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);
                   10412:     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);
                   10413:     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);
                   10414:     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);
                   10415:     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);
                   10416:     /* day and month of proj2 are not used but only year anproj2.*/
                   10417:     
1.217     brouard  10418:     while((c=getc(ficpar))=='#' && c!= EOF){
                   10419:       ungetc(c,ficpar);
                   10420:       fgets(line, MAXLINE, ficpar);
                   10421:       fputs(line,stdout);
                   10422:       fputs(line,ficparo);
                   10423:     }
                   10424:     ungetc(c,ficpar);
                   10425:     
                   10426:     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  10427:     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);
                   10428:     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);
                   10429:     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  10430:     /* day and month of proj2 are not used but only year anproj2.*/
1.126     brouard  10431:     
1.230     brouard  10432:     /* Results */
                   10433:     while(fgets(line, MAXLINE, ficpar)) {
                   10434:       /* If line starts with a # it is a comment */
                   10435:       if (line[0] == '#') {
                   10436:        numlinepar++;
                   10437:        fputs(line,stdout);
                   10438:        fputs(line,ficparo);
                   10439:        fputs(line,ficlog);
                   10440:        continue;
                   10441:       }else
                   10442:        break;
                   10443:     }
                   10444:     while((num_filled=sscanf(line,"result:%[^\n]\n",resultline)) !=EOF){
                   10445:       if (num_filled == 0)
                   10446:        resultline[0]='\0';
                   10447:       else if (num_filled != 1){
                   10448:        printf("ERROR %d: result line should be at minimum 'result=' %s\n",num_filled, line);
                   10449:       }
                   10450:       printf("Result %d: result line should be at minimum 'line=' %s, result=%s\n",num_filled, line, resultline);
                   10451:       decoderesult(resultline);
                   10452:       while(fgets(line, MAXLINE, ficpar)) {
                   10453:        /* If line starts with a # it is a comment */
                   10454:        if (line[0] == '#') {
                   10455:          numlinepar++;
                   10456:          fputs(line,stdout);
                   10457:          fputs(line,ficparo);
                   10458:          fputs(line,ficlog);
                   10459:          continue;
                   10460:        }else
                   10461:          break;
                   10462:       }
                   10463:       if (feof(ficpar))
                   10464:        break;
                   10465:       else{ /* Processess output results for this combination of covariate values */
                   10466:       }                                   
                   10467:     }
                   10468: 
                   10469: 
1.126     brouard  10470:     
1.230     brouard  10471:     /* freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint); */
1.145     brouard  10472:     /* ,dateprev1,dateprev2,jprev1, mprev1,anprev1,jprev2, mprev2,anprev2); */
1.126     brouard  10473:     
                   10474:     replace_back_to_slash(pathc,pathcd); /* Even gnuplot wants a / */
1.194     brouard  10475:     if(ageminpar == AGEOVERFLOW ||agemaxpar == -AGEOVERFLOW){
1.230     brouard  10476:       printf("Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
1.194     brouard  10477: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   10478: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
1.230     brouard  10479:       fprintf(ficlog,"Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
1.194     brouard  10480: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   10481: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
1.220     brouard  10482:     }else{
1.218     brouard  10483:       printinggnuplot(fileresu, optionfilefiname,ageminpar,agemaxpar,fage, prevfcast, backcast, pathc,p);
1.220     brouard  10484:     }
                   10485:     printinghtml(fileresu,title,datafile, firstpass, lastpass, stepm, weightopt, \
1.225     brouard  10486:                 model,imx,jmin,jmax,jmean,rfileres,popforecast,prevfcast,backcast, estepm, \
                   10487:                 jprev1,mprev1,anprev1,dateprev1,jprev2,mprev2,anprev2,dateprev2);
1.220     brouard  10488:                
1.225     brouard  10489:     /*------------ free_vector  -------------*/
                   10490:     /*  chdir(path); */
1.220     brouard  10491:                
1.215     brouard  10492:     /* free_ivector(wav,1,imx); */  /* Moved after last prevalence call */
                   10493:     /* free_imatrix(dh,1,lastpass-firstpass+2,1,imx); */
                   10494:     /* free_imatrix(bh,1,lastpass-firstpass+2,1,imx); */
                   10495:     /* free_imatrix(mw,1,lastpass-firstpass+2,1,imx);    */
1.126     brouard  10496:     free_lvector(num,1,n);
                   10497:     free_vector(agedc,1,n);
                   10498:     /*free_matrix(covar,0,NCOVMAX,1,n);*/
                   10499:     /*free_matrix(covar,1,NCOVMAX,1,n);*/
                   10500:     fclose(ficparo);
                   10501:     fclose(ficres);
1.220     brouard  10502:                
                   10503:                
1.186     brouard  10504:     /* Other results (useful)*/
1.220     brouard  10505:                
                   10506:                
1.126     brouard  10507:     /*--------------- Prevalence limit  (period or stable prevalence) --------------*/
1.180     brouard  10508:     /*#include "prevlim.h"*/  /* Use ficrespl, ficlog */
                   10509:     prlim=matrix(1,nlstate,1,nlstate);
1.209     brouard  10510:     prevalence_limit(p, prlim,  ageminpar, agemaxpar, ftolpl, &ncvyear);
1.126     brouard  10511:     fclose(ficrespl);
                   10512: 
                   10513:     /*------------- h Pij x at various ages ------------*/
1.180     brouard  10514:     /*#include "hpijx.h"*/
                   10515:     hPijx(p, bage, fage);
1.145     brouard  10516:     fclose(ficrespij);
1.227     brouard  10517:     
1.220     brouard  10518:     /* ncovcombmax=  pow(2,cptcoveff); */
1.219     brouard  10519:     /*-------------- Variance of one-step probabilities---*/
1.145     brouard  10520:     k=1;
1.126     brouard  10521:     varprob(optionfilefiname, matcov, p, delti, nlstate, bage, fage,k,Tvar,nbcode, ncodemax,strstart);
1.227     brouard  10522:     
1.219     brouard  10523:     /* Prevalence for each covariates in probs[age][status][cov] */
1.218     brouard  10524:     probs= ma3x(1,AGESUP,1,nlstate+ndeath, 1,ncovcombmax);
1.126     brouard  10525:     for(i=1;i<=AGESUP;i++)
1.219     brouard  10526:       for(j=1;j<=nlstate+ndeath;j++) /* ndeath is useless but a necessity to be compared with mobaverages */
1.225     brouard  10527:        for(k=1;k<=ncovcombmax;k++)
                   10528:          probs[i][j][k]=0.;
1.219     brouard  10529:     prevalence(probs, ageminpar, agemaxpar, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass);
                   10530:     if (mobilav!=0 ||mobilavproj !=0 ) {
                   10531:       mobaverages= ma3x(1, AGESUP,1,nlstate+ndeath, 1,ncovcombmax);
1.227     brouard  10532:       for(i=1;i<=AGESUP;i++)
                   10533:        for(j=1;j<=nlstate;j++)
                   10534:          for(k=1;k<=ncovcombmax;k++)
                   10535:            mobaverages[i][j][k]=0.;
1.219     brouard  10536:       mobaverage=mobaverages;
                   10537:       if (mobilav!=0) {
1.227     brouard  10538:        if (movingaverage(probs, ageminpar, agemaxpar, mobaverage, mobilav)!=0){
                   10539:          fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
                   10540:          printf(" Error in movingaverage mobilav=%d\n",mobilav);
                   10541:        }
1.219     brouard  10542:       }
                   10543:       /* /\* Prevalence for each covariates in probs[age][status][cov] *\/ */
                   10544:       /* prevalence(probs, ageminpar, agemaxpar, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass); */
                   10545:       else if (mobilavproj !=0) {
1.227     brouard  10546:        if (movingaverage(probs, ageminpar, agemaxpar, mobaverage, mobilavproj)!=0){
                   10547:          fprintf(ficlog," Error in movingaverage mobilavproj=%d\n",mobilavproj);
                   10548:          printf(" Error in movingaverage mobilavproj=%d\n",mobilavproj);
                   10549:        }
1.219     brouard  10550:       }
                   10551:     }/* end if moving average */
1.227     brouard  10552:     
1.126     brouard  10553:     /*---------- Forecasting ------------------*/
                   10554:     /*if((stepm == 1) && (strcmp(model,".")==0)){*/
                   10555:     if(prevfcast==1){
                   10556:       /*    if(stepm ==1){*/
1.225     brouard  10557:       prevforecast(fileresu, anproj1, mproj1, jproj1, agemin, agemax, dateprev1, dateprev2, mobilavproj, bage, fage, firstpass, lastpass, anproj2, p, cptcoveff);
1.126     brouard  10558:     }
1.217     brouard  10559:     if(backcast==1){
1.219     brouard  10560:       ddnewms=matrix(1,nlstate+ndeath,1,nlstate+ndeath);       
                   10561:       ddoldms=matrix(1,nlstate+ndeath,1,nlstate+ndeath);       
                   10562:       ddsavms=matrix(1,nlstate+ndeath,1,nlstate+ndeath);
                   10563: 
                   10564:       /*--------------- Back Prevalence limit  (period or stable prevalence) --------------*/
                   10565: 
                   10566:       bprlim=matrix(1,nlstate,1,nlstate);
                   10567:       back_prevalence_limit(p, bprlim,  ageminpar, agemaxpar, ftolpl, &ncvyear, dateprev1, dateprev2, firstpass, lastpass, mobilavproj);
                   10568:       fclose(ficresplb);
                   10569: 
1.222     brouard  10570:       hBijx(p, bage, fage, mobaverage);
                   10571:       fclose(ficrespijb);
1.219     brouard  10572:       free_matrix(bprlim,1,nlstate,1,nlstate); /*here or after loop ? */
                   10573: 
                   10574:       /* prevbackforecast(fileresu, anback1, mback1, jback1, agemin, agemax, dateprev1, dateprev2, mobilavproj,
1.225     brouard  10575:         bage, fage, firstpass, lastpass, anback2, p, cptcoveff); */
1.219     brouard  10576:       free_matrix(ddnewms, 1, nlstate+ndeath, 1, nlstate+ndeath);
                   10577:       free_matrix(ddsavms, 1, nlstate+ndeath, 1, nlstate+ndeath);
                   10578:       free_matrix(ddoldms, 1, nlstate+ndeath, 1, nlstate+ndeath);
                   10579:     }
1.217     brouard  10580:     
1.186     brouard  10581:  
                   10582:     /* ------ Other prevalence ratios------------ */
1.126     brouard  10583: 
1.215     brouard  10584:     free_ivector(wav,1,imx);
                   10585:     free_imatrix(dh,1,lastpass-firstpass+2,1,imx);
                   10586:     free_imatrix(bh,1,lastpass-firstpass+2,1,imx);
                   10587:     free_imatrix(mw,1,lastpass-firstpass+2,1,imx);   
1.218     brouard  10588:                
                   10589:                
1.127     brouard  10590:     /*---------- Health expectancies, no variances ------------*/
1.218     brouard  10591:                
1.201     brouard  10592:     strcpy(filerese,"E_");
                   10593:     strcat(filerese,fileresu);
1.126     brouard  10594:     if((ficreseij=fopen(filerese,"w"))==NULL) {
                   10595:       printf("Problem with Health Exp. resultfile: %s\n", filerese); exit(0);
                   10596:       fprintf(ficlog,"Problem with Health Exp. resultfile: %s\n", filerese); exit(0);
                   10597:     }
1.208     brouard  10598:     printf("Computing Health Expectancies: result on file '%s' ...", filerese);fflush(stdout);
                   10599:     fprintf(ficlog,"Computing Health Expectancies: result on file '%s' ...", filerese);fflush(ficlog);
1.219     brouard  10600:                
1.227     brouard  10601:     for (k=1; k <= (int) pow(2,cptcoveff); k++){ /* For any combination of dummy covariates, fixed and varying */
1.219     brouard  10602:       fprintf(ficreseij,"\n#****** ");
1.225     brouard  10603:       for(j=1;j<=cptcoveff;j++) {
1.227     brouard  10604:        fprintf(ficreseij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.219     brouard  10605:       }
                   10606:       fprintf(ficreseij,"******\n");
                   10607:       
                   10608:       eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
                   10609:       oldm=oldms;savm=savms;
                   10610:       evsij(eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k, estepm, strstart);  
1.127     brouard  10611:       
1.219     brouard  10612:       free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);
1.127     brouard  10613:     }
                   10614:     fclose(ficreseij);
1.208     brouard  10615:     printf("done evsij\n");fflush(stdout);
                   10616:     fprintf(ficlog,"done evsij\n");fflush(ficlog);
1.218     brouard  10617:                
1.227     brouard  10618:     /*---------- State-specific expectancies and variances ------------*/
1.218     brouard  10619:                
                   10620:                
1.201     brouard  10621:     strcpy(filerest,"T_");
                   10622:     strcat(filerest,fileresu);
1.127     brouard  10623:     if((ficrest=fopen(filerest,"w"))==NULL) {
                   10624:       printf("Problem with total LE resultfile: %s\n", filerest);goto end;
                   10625:       fprintf(ficlog,"Problem with total LE resultfile: %s\n", filerest);goto end;
                   10626:     }
1.208     brouard  10627:     printf("Computing Total Life expectancies with their standard errors: file '%s' ...\n", filerest); fflush(stdout);
                   10628:     fprintf(ficlog,"Computing Total Life expectancies with their standard errors: file '%s' ...\n", filerest); fflush(ficlog);
1.218     brouard  10629:                
1.126     brouard  10630: 
1.201     brouard  10631:     strcpy(fileresstde,"STDE_");
                   10632:     strcat(fileresstde,fileresu);
1.126     brouard  10633:     if((ficresstdeij=fopen(fileresstde,"w"))==NULL) {
1.227     brouard  10634:       printf("Problem with State specific Exp. and std errors resultfile: %s\n", fileresstde); exit(0);
                   10635:       fprintf(ficlog,"Problem with State specific Exp. and std errors resultfile: %s\n", fileresstde); exit(0);
1.126     brouard  10636:     }
1.227     brouard  10637:     printf("  Computing State-specific Expectancies and standard errors: result on file '%s' \n", fileresstde);
                   10638:     fprintf(ficlog,"  Computing State-specific Expectancies and standard errors: result on file '%s' \n", fileresstde);
1.126     brouard  10639: 
1.201     brouard  10640:     strcpy(filerescve,"CVE_");
                   10641:     strcat(filerescve,fileresu);
1.126     brouard  10642:     if((ficrescveij=fopen(filerescve,"w"))==NULL) {
1.227     brouard  10643:       printf("Problem with Covar. State-specific Exp. resultfile: %s\n", filerescve); exit(0);
                   10644:       fprintf(ficlog,"Problem with Covar. State-specific Exp. resultfile: %s\n", filerescve); exit(0);
1.126     brouard  10645:     }
1.227     brouard  10646:     printf("    Computing Covar. of State-specific Expectancies: result on file '%s' \n", filerescve);
                   10647:     fprintf(ficlog,"    Computing Covar. of State-specific Expectancies: result on file '%s' \n", filerescve);
1.126     brouard  10648: 
1.201     brouard  10649:     strcpy(fileresv,"V_");
                   10650:     strcat(fileresv,fileresu);
1.126     brouard  10651:     if((ficresvij=fopen(fileresv,"w"))==NULL) {
                   10652:       printf("Problem with variance resultfile: %s\n", fileresv);exit(0);
                   10653:       fprintf(ficlog,"Problem with variance resultfile: %s\n", fileresv);exit(0);
                   10654:     }
1.227     brouard  10655:     printf("      Computing Variance-covariance of State-specific Expectancies: file '%s' ... ", fileresv);fflush(stdout);
                   10656:     fprintf(ficlog,"      Computing Variance-covariance of State-specific Expectancies: file '%s' ... ", fileresv);fflush(ficlog);
1.126     brouard  10657: 
1.145     brouard  10658:     /*for(cptcov=1,k=0;cptcov<=i1;cptcov++){
                   10659:       for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*/
                   10660:           
1.225     brouard  10661:     for (k=1; k <= (int) pow(2,cptcoveff); k++){
1.227     brouard  10662:       printf("\n#****** ");
1.208     brouard  10663:       fprintf(ficrest,"\n#****** ");
1.227     brouard  10664:       fprintf(ficlog,"\n#****** ");
                   10665:       for(j=1;j<=cptcoveff;j++){ 
                   10666:        printf("V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10667:        fprintf(ficrest,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10668:        fprintf(ficlog,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10669:       }
1.208     brouard  10670:       fprintf(ficrest,"******\n");
1.227     brouard  10671:       fprintf(ficlog,"******\n");
                   10672:       printf("******\n");
1.208     brouard  10673:       
                   10674:       fprintf(ficresstdeij,"\n#****** ");
                   10675:       fprintf(ficrescveij,"\n#****** ");
1.225     brouard  10676:       for(j=1;j<=cptcoveff;j++) {
1.227     brouard  10677:        fprintf(ficresstdeij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10678:        fprintf(ficrescveij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.208     brouard  10679:       }
                   10680:       fprintf(ficresstdeij,"******\n");
                   10681:       fprintf(ficrescveij,"******\n");
                   10682:       
                   10683:       fprintf(ficresvij,"\n#****** ");
1.225     brouard  10684:       for(j=1;j<=cptcoveff;j++) 
1.227     brouard  10685:        fprintf(ficresvij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.208     brouard  10686:       fprintf(ficresvij,"******\n");
                   10687:       
                   10688:       eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
                   10689:       oldm=oldms;savm=savms;
1.227     brouard  10690:       printf(" cvevsij combination#=%d, ",k);
                   10691:       fprintf(ficlog, " cvevsij combination#=%d, ",k);
1.208     brouard  10692:       cvevsij(eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k, estepm, delti, matcov, strstart);
                   10693:       printf(" end cvevsij \n ");
                   10694:       fprintf(ficlog, " end cvevsij \n ");
                   10695:       
                   10696:       /*
                   10697:        */
                   10698:       /* goto endfree; */
                   10699:       
                   10700:       vareij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
                   10701:       pstamp(ficrest);
                   10702:       
                   10703:       
                   10704:       for(vpopbased=0; vpopbased <= popbased; vpopbased++){ /* Done for vpopbased=0 and vpopbased=1 if popbased==1*/
1.227     brouard  10705:        oldm=oldms;savm=savms; /* ZZ Segmentation fault */
                   10706:        cptcod= 0; /* To be deleted */
                   10707:        printf("varevsij vpopbased=%d \n",vpopbased);
                   10708:        fprintf(ficlog, "varevsij vpopbased=%d \n",vpopbased);
                   10709:        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 */
                   10710:        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 ");
                   10711:        if(vpopbased==1)
                   10712:          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);
                   10713:        else
                   10714:          fprintf(ficrest,"the age specific period (stable) prevalences in each health state \n");
                   10715:        fprintf(ficrest,"# Age popbased mobilav e.. (std) ");
                   10716:        for (i=1;i<=nlstate;i++) fprintf(ficrest,"e.%d (std) ",i);
                   10717:        fprintf(ficrest,"\n");
                   10718:        /* printf("Which p?\n"); for(i=1;i<=npar;i++)printf("p[i=%d]=%lf,",i,p[i]);printf("\n"); */
                   10719:        epj=vector(1,nlstate+1);
                   10720:        printf("Computing age specific period (stable) prevalences in each health state \n");
                   10721:        fprintf(ficlog,"Computing age specific period (stable) prevalences in each health state \n");
                   10722:        for(age=bage; age <=fage ;age++){
                   10723:          prevalim(prlim, nlstate, p, age, oldm, savm, ftolpl, &ncvyear, k); /*ZZ Is it the correct prevalim */
                   10724:          if (vpopbased==1) {
                   10725:            if(mobilav ==0){
                   10726:              for(i=1; i<=nlstate;i++)
                   10727:                prlim[i][i]=probs[(int)age][i][k];
                   10728:            }else{ /* mobilav */ 
                   10729:              for(i=1; i<=nlstate;i++)
                   10730:                prlim[i][i]=mobaverage[(int)age][i][k];
                   10731:            }
                   10732:          }
1.219     brouard  10733:          
1.227     brouard  10734:          fprintf(ficrest," %4.0f %d %d",age, vpopbased, mobilav);
                   10735:          /* fprintf(ficrest," %4.0f %d %d %d %d",age, vpopbased, mobilav,Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]); */ /* to be done */
                   10736:          /* printf(" age %4.0f ",age); */
                   10737:          for(j=1, epj[nlstate+1]=0.;j <=nlstate;j++){
                   10738:            for(i=1, epj[j]=0.;i <=nlstate;i++) {
                   10739:              epj[j] += prlim[i][i]*eij[i][j][(int)age];
                   10740:              /*ZZZ  printf("%lf %lf ", prlim[i][i] ,eij[i][j][(int)age]);*/
                   10741:              /* printf("%lf %lf ", prlim[i][i] ,eij[i][j][(int)age]); */
                   10742:            }
                   10743:            epj[nlstate+1] +=epj[j];
                   10744:          }
                   10745:          /* printf(" age %4.0f \n",age); */
1.219     brouard  10746:          
1.227     brouard  10747:          for(i=1, vepp=0.;i <=nlstate;i++)
                   10748:            for(j=1;j <=nlstate;j++)
                   10749:              vepp += vareij[i][j][(int)age];
                   10750:          fprintf(ficrest," %7.3f (%7.3f)", epj[nlstate+1],sqrt(vepp));
                   10751:          for(j=1;j <=nlstate;j++){
                   10752:            fprintf(ficrest," %7.3f (%7.3f)", epj[j],sqrt(vareij[j][j][(int)age]));
                   10753:          }
                   10754:          fprintf(ficrest,"\n");
                   10755:        }
1.208     brouard  10756:       } /* End vpopbased */
                   10757:       free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);
                   10758:       free_ma3x(vareij,1,nlstate,1,nlstate,(int) bage, (int)fage);
                   10759:       free_vector(epj,1,nlstate+1);
                   10760:       printf("done \n");fflush(stdout);
                   10761:       fprintf(ficlog,"done\n");fflush(ficlog);
                   10762:       
1.145     brouard  10763:       /*}*/
1.208     brouard  10764:     } /* End k */
1.227     brouard  10765: 
                   10766:     printf("done State-specific expectancies\n");fflush(stdout);
                   10767:     fprintf(ficlog,"done State-specific expectancies\n");fflush(ficlog);
                   10768: 
1.126     brouard  10769:     /*------- Variance of period (stable) prevalence------*/   
1.227     brouard  10770:     
1.201     brouard  10771:     strcpy(fileresvpl,"VPL_");
                   10772:     strcat(fileresvpl,fileresu);
1.126     brouard  10773:     if((ficresvpl=fopen(fileresvpl,"w"))==NULL) {
                   10774:       printf("Problem with variance of period (stable) prevalence  resultfile: %s\n", fileresvpl);
                   10775:       exit(0);
                   10776:     }
1.208     brouard  10777:     printf("Computing Variance-covariance of period (stable) prevalence: file '%s' ...", fileresvpl);fflush(stdout);
                   10778:     fprintf(ficlog, "Computing Variance-covariance of period (stable) prevalence: file '%s' ...", fileresvpl);fflush(ficlog);
1.227     brouard  10779:     
1.145     brouard  10780:     /*for(cptcov=1,k=0;cptcov<=i1;cptcov++){
                   10781:       for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*/
1.227     brouard  10782:     
1.225     brouard  10783:     for (k=1; k <= (int) pow(2,cptcoveff); k++){
1.227     brouard  10784:       fprintf(ficresvpl,"\n#****** ");
                   10785:       printf("\n#****** ");
                   10786:       fprintf(ficlog,"\n#****** ");
                   10787:       for(j=1;j<=cptcoveff;j++) {
                   10788:        fprintf(ficresvpl,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10789:        fprintf(ficlog,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10790:        printf("V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10791:       }
                   10792:       fprintf(ficresvpl,"******\n");
                   10793:       printf("******\n");
                   10794:       fprintf(ficlog,"******\n");
                   10795:       
                   10796:       varpl=matrix(1,nlstate,(int) bage, (int) fage);
                   10797:       oldm=oldms;savm=savms;
                   10798:       varprevlim(fileres, varpl, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl, &ncvyear, k, strstart);
                   10799:       free_matrix(varpl,1,nlstate,(int) bage, (int)fage);
1.145     brouard  10800:       /*}*/
1.126     brouard  10801:     }
1.227     brouard  10802:     
1.126     brouard  10803:     fclose(ficresvpl);
1.208     brouard  10804:     printf("done variance-covariance of period prevalence\n");fflush(stdout);
                   10805:     fprintf(ficlog,"done variance-covariance of period prevalence\n");fflush(ficlog);
1.227     brouard  10806:     
                   10807:     free_vector(weight,1,n);
                   10808:     free_imatrix(Tvard,1,NCOVMAX,1,2);
                   10809:     free_imatrix(s,1,maxwav+1,1,n);
                   10810:     free_matrix(anint,1,maxwav,1,n); 
                   10811:     free_matrix(mint,1,maxwav,1,n);
                   10812:     free_ivector(cod,1,n);
                   10813:     free_ivector(tab,1,NCOVMAX);
                   10814:     fclose(ficresstdeij);
                   10815:     fclose(ficrescveij);
                   10816:     fclose(ficresvij);
                   10817:     fclose(ficrest);
                   10818:     fclose(ficpar);
                   10819:     
                   10820:     
1.126     brouard  10821:     /*---------- End : free ----------------*/
1.219     brouard  10822:     if (mobilav!=0 ||mobilavproj !=0)
                   10823:       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  10824:     free_ma3x(probs,1,AGESUP,1,nlstate+ndeath, 1,ncovcombmax);
1.220     brouard  10825:     free_matrix(prlim,1,nlstate,1,nlstate); /*here or after loop ? */
                   10826:     free_matrix(pmmij,1,nlstate+ndeath,1,nlstate+ndeath);
1.126     brouard  10827:   }  /* mle==-3 arrives here for freeing */
1.227     brouard  10828:   /* endfree:*/
                   10829:   free_matrix(oldms, 1,nlstate+ndeath,1,nlstate+ndeath);
                   10830:   free_matrix(newms, 1,nlstate+ndeath,1,nlstate+ndeath);
                   10831:   free_matrix(savms, 1,nlstate+ndeath,1,nlstate+ndeath);
                   10832:   free_ma3x(cotqvar,1,maxwav,1,nqtv,1,n);
1.233   ! brouard  10833:   free_ma3x(cotvar,1,maxwav,1,ntv+nqtv,1,n);
1.227     brouard  10834:   free_matrix(coqvar,1,maxwav,1,n);
                   10835:   free_matrix(covar,0,NCOVMAX,1,n);
                   10836:   free_matrix(matcov,1,npar,1,npar);
                   10837:   free_matrix(hess,1,npar,1,npar);
                   10838:   /*free_vector(delti,1,npar);*/
                   10839:   free_ma3x(delti3,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel); 
                   10840:   free_matrix(agev,1,maxwav,1,imx);
                   10841:   free_ma3x(param,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel);
                   10842:   
                   10843:   free_ivector(ncodemax,1,NCOVMAX);
                   10844:   free_ivector(ncodemaxwundef,1,NCOVMAX);
                   10845:   free_ivector(Dummy,-1,NCOVMAX);
                   10846:   free_ivector(Fixed,-1,NCOVMAX);
                   10847:   free_ivector(Typevar,-1,NCOVMAX);
                   10848:   free_ivector(Tvar,1,NCOVMAX);
1.231     brouard  10849:   free_ivector(TvarFD,1,NCOVMAX);
                   10850:   free_ivector(TvarFDind,1,NCOVMAX);
1.232     brouard  10851:   free_ivector(TvarF,1,NCOVMAX);
                   10852:   free_ivector(TvarFind,1,NCOVMAX);
                   10853:   free_ivector(TvarV,1,NCOVMAX);
                   10854:   free_ivector(TvarVind,1,NCOVMAX);
                   10855:   free_ivector(TvarA,1,NCOVMAX);
                   10856:   free_ivector(TvarAind,1,NCOVMAX);
1.231     brouard  10857:   free_ivector(TvarFQ,1,NCOVMAX);
                   10858:   free_ivector(TvarFQind,1,NCOVMAX);
                   10859:   free_ivector(TvarVD,1,NCOVMAX);
                   10860:   free_ivector(TvarVDind,1,NCOVMAX);
                   10861:   free_ivector(TvarVQ,1,NCOVMAX);
                   10862:   free_ivector(TvarVQind,1,NCOVMAX);
1.230     brouard  10863:   free_ivector(Tvarsel,1,NCOVMAX);
                   10864:   free_vector(Tvalsel,1,NCOVMAX);
1.227     brouard  10865:   free_ivector(Tposprod,1,NCOVMAX);
                   10866:   free_ivector(Tprod,1,NCOVMAX);
                   10867:   free_ivector(Tvaraff,1,NCOVMAX);
                   10868:   free_ivector(invalidvarcomb,1,ncovcombmax);
                   10869:   free_ivector(Tage,1,NCOVMAX);
                   10870:   free_ivector(Tmodelind,1,NCOVMAX);
1.228     brouard  10871:   free_ivector(TmodelInvind,1,NCOVMAX);
                   10872:   free_ivector(TmodelInvQind,1,NCOVMAX);
1.227     brouard  10873:   
                   10874:   free_imatrix(nbcode,0,NCOVMAX,0,NCOVMAX);
                   10875:   /* free_imatrix(codtab,1,100,1,10); */
1.126     brouard  10876:   fflush(fichtm);
                   10877:   fflush(ficgp);
                   10878:   
1.227     brouard  10879:   
1.126     brouard  10880:   if((nberr >0) || (nbwarn>0)){
1.216     brouard  10881:     printf("End of Imach with %d errors and/or %d warnings. Please look at the log file for details.\n",nberr,nbwarn);
                   10882:     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  10883:   }else{
                   10884:     printf("End of Imach\n");
                   10885:     fprintf(ficlog,"End of Imach\n");
                   10886:   }
                   10887:   printf("See log file on %s\n",filelog);
                   10888:   /*  gettimeofday(&end_time, (struct timezone*)0);*/  /* after time */
1.157     brouard  10889:   /*(void) gettimeofday(&end_time,&tzp);*/
                   10890:   rend_time = time(NULL);  
                   10891:   end_time = *localtime(&rend_time);
                   10892:   /* tml = *localtime(&end_time.tm_sec); */
                   10893:   strcpy(strtend,asctime(&end_time));
1.126     brouard  10894:   printf("Local time at start %s\nLocal time at end   %s",strstart, strtend); 
                   10895:   fprintf(ficlog,"Local time at start %s\nLocal time at end   %s\n",strstart, strtend); 
1.157     brouard  10896:   printf("Total time used %s\n", asc_diff_time(rend_time -rstart_time,tmpout));
1.227     brouard  10897:   
1.157     brouard  10898:   printf("Total time was %.0lf Sec.\n", difftime(rend_time,rstart_time));
                   10899:   fprintf(ficlog,"Total time used %s\n", asc_diff_time(rend_time -rstart_time,tmpout));
                   10900:   fprintf(ficlog,"Total time was %.0lf Sec.\n", difftime(rend_time,rstart_time));
1.126     brouard  10901:   /*  printf("Total time was %d uSec.\n", total_usecs);*/
                   10902: /*   if(fileappend(fichtm,optionfilehtm)){ */
                   10903:   fprintf(fichtm,"<br>Local time at start %s<br>Local time at end   %s<br>\n</body></html>",strstart, strtend);
                   10904:   fclose(fichtm);
                   10905:   fprintf(fichtmcov,"<br>Local time at start %s<br>Local time at end   %s<br>\n</body></html>",strstart, strtend);
                   10906:   fclose(fichtmcov);
                   10907:   fclose(ficgp);
                   10908:   fclose(ficlog);
                   10909:   /*------ End -----------*/
1.227     brouard  10910:   
                   10911:   
                   10912:   printf("Before Current directory %s!\n",pathcd);
1.184     brouard  10913: #ifdef WIN32
1.227     brouard  10914:   if (_chdir(pathcd) != 0)
                   10915:     printf("Can't move to directory %s!\n",path);
                   10916:   if(_getcwd(pathcd,MAXLINE) > 0)
1.184     brouard  10917: #else
1.227     brouard  10918:     if(chdir(pathcd) != 0)
                   10919:       printf("Can't move to directory %s!\n", path);
                   10920:   if (getcwd(pathcd, MAXLINE) > 0)
1.184     brouard  10921: #endif 
1.126     brouard  10922:     printf("Current directory %s!\n",pathcd);
                   10923:   /*strcat(plotcmd,CHARSEPARATOR);*/
                   10924:   sprintf(plotcmd,"gnuplot");
1.157     brouard  10925: #ifdef _WIN32
1.126     brouard  10926:   sprintf(plotcmd,"\"%sgnuplot.exe\"",pathimach);
                   10927: #endif
                   10928:   if(!stat(plotcmd,&info)){
1.158     brouard  10929:     printf("Error or gnuplot program not found: '%s'\n",plotcmd);fflush(stdout);
1.126     brouard  10930:     if(!stat(getenv("GNUPLOTBIN"),&info)){
1.158     brouard  10931:       printf("Error or gnuplot program not found: '%s' Environment GNUPLOTBIN not set.\n",plotcmd);fflush(stdout);
1.126     brouard  10932:     }else
                   10933:       strcpy(pplotcmd,plotcmd);
1.157     brouard  10934: #ifdef __unix
1.126     brouard  10935:     strcpy(plotcmd,GNUPLOTPROGRAM);
                   10936:     if(!stat(plotcmd,&info)){
1.158     brouard  10937:       printf("Error gnuplot program not found: '%s'\n",plotcmd);fflush(stdout);
1.126     brouard  10938:     }else
                   10939:       strcpy(pplotcmd,plotcmd);
                   10940: #endif
                   10941:   }else
                   10942:     strcpy(pplotcmd,plotcmd);
                   10943:   
                   10944:   sprintf(plotcmd,"%s %s",pplotcmd, optionfilegnuplot);
1.158     brouard  10945:   printf("Starting graphs with: '%s'\n",plotcmd);fflush(stdout);
1.227     brouard  10946:   
1.126     brouard  10947:   if((outcmd=system(plotcmd)) != 0){
1.158     brouard  10948:     printf("gnuplot command might not be in your path: '%s', err=%d\n", plotcmd, outcmd);
1.154     brouard  10949:     printf("\n Trying if gnuplot resides on the same directory that IMaCh\n");
1.152     brouard  10950:     sprintf(plotcmd,"%sgnuplot %s", pathimach, optionfilegnuplot);
1.150     brouard  10951:     if((outcmd=system(plotcmd)) != 0)
1.153     brouard  10952:       printf("\n Still a problem with gnuplot command %s, err=%d\n", plotcmd, outcmd);
1.126     brouard  10953:   }
1.158     brouard  10954:   printf(" Successful, please wait...");
1.126     brouard  10955:   while (z[0] != 'q') {
                   10956:     /* chdir(path); */
1.154     brouard  10957:     printf("\nType e to edit results with your browser, g to graph again and q for exit: ");
1.126     brouard  10958:     scanf("%s",z);
                   10959: /*     if (z[0] == 'c') system("./imach"); */
                   10960:     if (z[0] == 'e') {
1.158     brouard  10961: #ifdef __APPLE__
1.152     brouard  10962:       sprintf(pplotcmd, "open %s", optionfilehtm);
1.157     brouard  10963: #elif __linux
                   10964:       sprintf(pplotcmd, "xdg-open %s", optionfilehtm);
1.153     brouard  10965: #else
1.152     brouard  10966:       sprintf(pplotcmd, "%s", optionfilehtm);
1.153     brouard  10967: #endif
                   10968:       printf("Starting browser with: %s",pplotcmd);fflush(stdout);
                   10969:       system(pplotcmd);
1.126     brouard  10970:     }
                   10971:     else if (z[0] == 'g') system(plotcmd);
                   10972:     else if (z[0] == 'q') exit(0);
                   10973:   }
1.227     brouard  10974: end:
1.126     brouard  10975:   while (z[0] != 'q') {
1.195     brouard  10976:     printf("\nType  q for exiting: "); fflush(stdout);
1.126     brouard  10977:     scanf("%s",z);
                   10978:   }
                   10979: }

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