Annotation of imach/src/imach.c, revision 1.228

1.227     brouard     1: /* $Id: imach.c,v 1.226 2016/07/12 18:42:34 brouard Exp $
1.126     brouard     2:   $State: Exp $
1.163     brouard     3:   $Log: imach.c,v $
1.227     brouard     4:   Revision 1.226  2016/07/12 18:42:34  brouard
                      5:   Summary: temp
                      6: 
1.226     brouard     7:   Revision 1.225  2016/07/12 08:40:03  brouard
                      8:   Summary: saving but not running
                      9: 
1.225     brouard    10:   Revision 1.224  2016/07/01 13:16:01  brouard
                     11:   Summary: Fixes
                     12: 
1.224     brouard    13:   Revision 1.223  2016/02/19 09:23:35  brouard
                     14:   Summary: temporary
                     15: 
1.223     brouard    16:   Revision 1.222  2016/02/17 08:14:50  brouard
                     17:   Summary: Probably last 0.98 stable version 0.98r6
                     18: 
1.222     brouard    19:   Revision 1.221  2016/02/15 23:35:36  brouard
                     20:   Summary: minor bug
                     21: 
1.220     brouard    22:   Revision 1.219  2016/02/15 00:48:12  brouard
                     23:   *** empty log message ***
                     24: 
1.219     brouard    25:   Revision 1.218  2016/02/12 11:29:23  brouard
                     26:   Summary: 0.99 Back projections
                     27: 
1.218     brouard    28:   Revision 1.217  2015/12/23 17:18:31  brouard
                     29:   Summary: Experimental backcast
                     30: 
1.217     brouard    31:   Revision 1.216  2015/12/18 17:32:11  brouard
                     32:   Summary: 0.98r4 Warning and status=-2
                     33: 
                     34:   Version 0.98r4 is now:
                     35:    - displaying an error when status is -1, date of interview unknown and date of death known;
                     36:    - permitting a status -2 when the vital status is unknown at a known date of right truncation.
                     37:   Older changes concerning s=-2, dating from 2005 have been supersed.
                     38: 
1.216     brouard    39:   Revision 1.215  2015/12/16 08:52:24  brouard
                     40:   Summary: 0.98r4 working
                     41: 
1.215     brouard    42:   Revision 1.214  2015/12/16 06:57:54  brouard
                     43:   Summary: temporary not working
                     44: 
1.214     brouard    45:   Revision 1.213  2015/12/11 18:22:17  brouard
                     46:   Summary: 0.98r4
                     47: 
1.213     brouard    48:   Revision 1.212  2015/11/21 12:47:24  brouard
                     49:   Summary: minor typo
                     50: 
1.212     brouard    51:   Revision 1.211  2015/11/21 12:41:11  brouard
                     52:   Summary: 0.98r3 with some graph of projected cross-sectional
                     53: 
                     54:   Author: Nicolas Brouard
                     55: 
1.211     brouard    56:   Revision 1.210  2015/11/18 17:41:20  brouard
                     57:   Summary: Start working on projected prevalences
                     58: 
1.210     brouard    59:   Revision 1.209  2015/11/17 22:12:03  brouard
                     60:   Summary: Adding ftolpl parameter
                     61:   Author: N Brouard
                     62: 
                     63:   We had difficulties to get smoothed confidence intervals. It was due
                     64:   to the period prevalence which wasn't computed accurately. The inner
                     65:   parameter ftolpl is now an outer parameter of the .imach parameter
                     66:   file after estepm. If ftolpl is small 1.e-4 and estepm too,
                     67:   computation are long.
                     68: 
1.209     brouard    69:   Revision 1.208  2015/11/17 14:31:57  brouard
                     70:   Summary: temporary
                     71: 
1.208     brouard    72:   Revision 1.207  2015/10/27 17:36:57  brouard
                     73:   *** empty log message ***
                     74: 
1.207     brouard    75:   Revision 1.206  2015/10/24 07:14:11  brouard
                     76:   *** empty log message ***
                     77: 
1.206     brouard    78:   Revision 1.205  2015/10/23 15:50:53  brouard
                     79:   Summary: 0.98r3 some clarification for graphs on likelihood contributions
                     80: 
1.205     brouard    81:   Revision 1.204  2015/10/01 16:20:26  brouard
                     82:   Summary: Some new graphs of contribution to likelihood
                     83: 
1.204     brouard    84:   Revision 1.203  2015/09/30 17:45:14  brouard
                     85:   Summary: looking at better estimation of the hessian
                     86: 
                     87:   Also a better criteria for convergence to the period prevalence And
                     88:   therefore adding the number of years needed to converge. (The
                     89:   prevalence in any alive state shold sum to one
                     90: 
1.203     brouard    91:   Revision 1.202  2015/09/22 19:45:16  brouard
                     92:   Summary: Adding some overall graph on contribution to likelihood. Might change
                     93: 
1.202     brouard    94:   Revision 1.201  2015/09/15 17:34:58  brouard
                     95:   Summary: 0.98r0
                     96: 
                     97:   - Some new graphs like suvival functions
                     98:   - Some bugs fixed like model=1+age+V2.
                     99: 
1.201     brouard   100:   Revision 1.200  2015/09/09 16:53:55  brouard
                    101:   Summary: Big bug thanks to Flavia
                    102: 
                    103:   Even model=1+age+V2. did not work anymore
                    104: 
1.200     brouard   105:   Revision 1.199  2015/09/07 14:09:23  brouard
                    106:   Summary: 0.98q6 changing default small png format for graph to vectorized svg.
                    107: 
1.199     brouard   108:   Revision 1.198  2015/09/03 07:14:39  brouard
                    109:   Summary: 0.98q5 Flavia
                    110: 
1.198     brouard   111:   Revision 1.197  2015/09/01 18:24:39  brouard
                    112:   *** empty log message ***
                    113: 
1.197     brouard   114:   Revision 1.196  2015/08/18 23:17:52  brouard
                    115:   Summary: 0.98q5
                    116: 
1.196     brouard   117:   Revision 1.195  2015/08/18 16:28:39  brouard
                    118:   Summary: Adding a hack for testing purpose
                    119: 
                    120:   After reading the title, ftol and model lines, if the comment line has
                    121:   a q, starting with #q, the answer at the end of the run is quit. It
                    122:   permits to run test files in batch with ctest. The former workaround was
                    123:   $ echo q | imach foo.imach
                    124: 
1.195     brouard   125:   Revision 1.194  2015/08/18 13:32:00  brouard
                    126:   Summary:  Adding error when the covariance matrix doesn't contain the exact number of lines required by the model line.
                    127: 
1.194     brouard   128:   Revision 1.193  2015/08/04 07:17:42  brouard
                    129:   Summary: 0.98q4
                    130: 
1.193     brouard   131:   Revision 1.192  2015/07/16 16:49:02  brouard
                    132:   Summary: Fixing some outputs
                    133: 
1.192     brouard   134:   Revision 1.191  2015/07/14 10:00:33  brouard
                    135:   Summary: Some fixes
                    136: 
1.191     brouard   137:   Revision 1.190  2015/05/05 08:51:13  brouard
                    138:   Summary: Adding digits in output parameters (7 digits instead of 6)
                    139: 
                    140:   Fix 1+age+.
                    141: 
1.190     brouard   142:   Revision 1.189  2015/04/30 14:45:16  brouard
                    143:   Summary: 0.98q2
                    144: 
1.189     brouard   145:   Revision 1.188  2015/04/30 08:27:53  brouard
                    146:   *** empty log message ***
                    147: 
1.188     brouard   148:   Revision 1.187  2015/04/29 09:11:15  brouard
                    149:   *** empty log message ***
                    150: 
1.187     brouard   151:   Revision 1.186  2015/04/23 12:01:52  brouard
                    152:   Summary: V1*age is working now, version 0.98q1
                    153: 
                    154:   Some codes had been disabled in order to simplify and Vn*age was
                    155:   working in the optimization phase, ie, giving correct MLE parameters,
                    156:   but, as usual, outputs were not correct and program core dumped.
                    157: 
1.186     brouard   158:   Revision 1.185  2015/03/11 13:26:42  brouard
                    159:   Summary: Inclusion of compile and links command line for Intel Compiler
                    160: 
1.185     brouard   161:   Revision 1.184  2015/03/11 11:52:39  brouard
                    162:   Summary: Back from Windows 8. Intel Compiler
                    163: 
1.184     brouard   164:   Revision 1.183  2015/03/10 20:34:32  brouard
                    165:   Summary: 0.98q0, trying with directest, mnbrak fixed
                    166: 
                    167:   We use directest instead of original Powell test; probably no
                    168:   incidence on the results, but better justifications;
                    169:   We fixed Numerical Recipes mnbrak routine which was wrong and gave
                    170:   wrong results.
                    171: 
1.183     brouard   172:   Revision 1.182  2015/02/12 08:19:57  brouard
                    173:   Summary: Trying to keep directest which seems simpler and more general
                    174:   Author: Nicolas Brouard
                    175: 
1.182     brouard   176:   Revision 1.181  2015/02/11 23:22:24  brouard
                    177:   Summary: Comments on Powell added
                    178: 
                    179:   Author:
                    180: 
1.181     brouard   181:   Revision 1.180  2015/02/11 17:33:45  brouard
                    182:   Summary: Finishing move from main to function (hpijx and prevalence_limit)
                    183: 
1.180     brouard   184:   Revision 1.179  2015/01/04 09:57:06  brouard
                    185:   Summary: back to OS/X
                    186: 
1.179     brouard   187:   Revision 1.178  2015/01/04 09:35:48  brouard
                    188:   *** empty log message ***
                    189: 
1.178     brouard   190:   Revision 1.177  2015/01/03 18:40:56  brouard
                    191:   Summary: Still testing ilc32 on OSX
                    192: 
1.177     brouard   193:   Revision 1.176  2015/01/03 16:45:04  brouard
                    194:   *** empty log message ***
                    195: 
1.176     brouard   196:   Revision 1.175  2015/01/03 16:33:42  brouard
                    197:   *** empty log message ***
                    198: 
1.175     brouard   199:   Revision 1.174  2015/01/03 16:15:49  brouard
                    200:   Summary: Still in cross-compilation
                    201: 
1.174     brouard   202:   Revision 1.173  2015/01/03 12:06:26  brouard
                    203:   Summary: trying to detect cross-compilation
                    204: 
1.173     brouard   205:   Revision 1.172  2014/12/27 12:07:47  brouard
                    206:   Summary: Back from Visual Studio and Intel, options for compiling for Windows XP
                    207: 
1.172     brouard   208:   Revision 1.171  2014/12/23 13:26:59  brouard
                    209:   Summary: Back from Visual C
                    210: 
                    211:   Still problem with utsname.h on Windows
                    212: 
1.171     brouard   213:   Revision 1.170  2014/12/23 11:17:12  brouard
                    214:   Summary: Cleaning some \%% back to %%
                    215: 
                    216:   The escape was mandatory for a specific compiler (which one?), but too many warnings.
                    217: 
1.170     brouard   218:   Revision 1.169  2014/12/22 23:08:31  brouard
                    219:   Summary: 0.98p
                    220: 
                    221:   Outputs some informations on compiler used, OS etc. Testing on different platforms.
                    222: 
1.169     brouard   223:   Revision 1.168  2014/12/22 15:17:42  brouard
1.170     brouard   224:   Summary: update
1.169     brouard   225: 
1.168     brouard   226:   Revision 1.167  2014/12/22 13:50:56  brouard
                    227:   Summary: Testing uname and compiler version and if compiled 32 or 64
                    228: 
                    229:   Testing on Linux 64
                    230: 
1.167     brouard   231:   Revision 1.166  2014/12/22 11:40:47  brouard
                    232:   *** empty log message ***
                    233: 
1.166     brouard   234:   Revision 1.165  2014/12/16 11:20:36  brouard
                    235:   Summary: After compiling on Visual C
                    236: 
                    237:   * imach.c (Module): Merging 1.61 to 1.162
                    238: 
1.165     brouard   239:   Revision 1.164  2014/12/16 10:52:11  brouard
                    240:   Summary: Merging with Visual C after suppressing some warnings for unused variables. Also fixing Saito's bug 0.98Xn
                    241: 
                    242:   * imach.c (Module): Merging 1.61 to 1.162
                    243: 
1.164     brouard   244:   Revision 1.163  2014/12/16 10:30:11  brouard
                    245:   * imach.c (Module): Merging 1.61 to 1.162
                    246: 
1.163     brouard   247:   Revision 1.162  2014/09/25 11:43:39  brouard
                    248:   Summary: temporary backup 0.99!
                    249: 
1.162     brouard   250:   Revision 1.1  2014/09/16 11:06:58  brouard
                    251:   Summary: With some code (wrong) for nlopt
                    252: 
                    253:   Author:
                    254: 
                    255:   Revision 1.161  2014/09/15 20:41:41  brouard
                    256:   Summary: Problem with macro SQR on Intel compiler
                    257: 
1.161     brouard   258:   Revision 1.160  2014/09/02 09:24:05  brouard
                    259:   *** empty log message ***
                    260: 
1.160     brouard   261:   Revision 1.159  2014/09/01 10:34:10  brouard
                    262:   Summary: WIN32
                    263:   Author: Brouard
                    264: 
1.159     brouard   265:   Revision 1.158  2014/08/27 17:11:51  brouard
                    266:   *** empty log message ***
                    267: 
1.158     brouard   268:   Revision 1.157  2014/08/27 16:26:55  brouard
                    269:   Summary: Preparing windows Visual studio version
                    270:   Author: Brouard
                    271: 
                    272:   In order to compile on Visual studio, time.h is now correct and time_t
                    273:   and tm struct should be used. difftime should be used but sometimes I
                    274:   just make the differences in raw time format (time(&now).
                    275:   Trying to suppress #ifdef LINUX
                    276:   Add xdg-open for __linux in order to open default browser.
                    277: 
1.157     brouard   278:   Revision 1.156  2014/08/25 20:10:10  brouard
                    279:   *** empty log message ***
                    280: 
1.156     brouard   281:   Revision 1.155  2014/08/25 18:32:34  brouard
                    282:   Summary: New compile, minor changes
                    283:   Author: Brouard
                    284: 
1.155     brouard   285:   Revision 1.154  2014/06/20 17:32:08  brouard
                    286:   Summary: Outputs now all graphs of convergence to period prevalence
                    287: 
1.154     brouard   288:   Revision 1.153  2014/06/20 16:45:46  brouard
                    289:   Summary: If 3 live state, convergence to period prevalence on same graph
                    290:   Author: Brouard
                    291: 
1.153     brouard   292:   Revision 1.152  2014/06/18 17:54:09  brouard
                    293:   Summary: open browser, use gnuplot on same dir than imach if not found in the path
                    294: 
1.152     brouard   295:   Revision 1.151  2014/06/18 16:43:30  brouard
                    296:   *** empty log message ***
                    297: 
1.151     brouard   298:   Revision 1.150  2014/06/18 16:42:35  brouard
                    299:   Summary: If gnuplot is not in the path try on same directory than imach binary (OSX)
                    300:   Author: brouard
                    301: 
1.150     brouard   302:   Revision 1.149  2014/06/18 15:51:14  brouard
                    303:   Summary: Some fixes in parameter files errors
                    304:   Author: Nicolas Brouard
                    305: 
1.149     brouard   306:   Revision 1.148  2014/06/17 17:38:48  brouard
                    307:   Summary: Nothing new
                    308:   Author: Brouard
                    309: 
                    310:   Just a new packaging for OS/X version 0.98nS
                    311: 
1.148     brouard   312:   Revision 1.147  2014/06/16 10:33:11  brouard
                    313:   *** empty log message ***
                    314: 
1.147     brouard   315:   Revision 1.146  2014/06/16 10:20:28  brouard
                    316:   Summary: Merge
                    317:   Author: Brouard
                    318: 
                    319:   Merge, before building revised version.
                    320: 
1.146     brouard   321:   Revision 1.145  2014/06/10 21:23:15  brouard
                    322:   Summary: Debugging with valgrind
                    323:   Author: Nicolas Brouard
                    324: 
                    325:   Lot of changes in order to output the results with some covariates
                    326:   After the Edimburgh REVES conference 2014, it seems mandatory to
                    327:   improve the code.
                    328:   No more memory valgrind error but a lot has to be done in order to
                    329:   continue the work of splitting the code into subroutines.
                    330:   Also, decodemodel has been improved. Tricode is still not
                    331:   optimal. nbcode should be improved. Documentation has been added in
                    332:   the source code.
                    333: 
1.144     brouard   334:   Revision 1.143  2014/01/26 09:45:38  brouard
                    335:   Summary: Version 0.98nR (to be improved, but gives same optimization results as 0.98k. Nice, promising
                    336: 
                    337:   * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
                    338:   (Module): Version 0.98nR Running ok, but output format still only works for three covariates.
                    339: 
1.143     brouard   340:   Revision 1.142  2014/01/26 03:57:36  brouard
                    341:   Summary: gnuplot changed plot w l 1 has to be changed to plot w l lt 2
                    342: 
                    343:   * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
                    344: 
1.142     brouard   345:   Revision 1.141  2014/01/26 02:42:01  brouard
                    346:   * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
                    347: 
1.141     brouard   348:   Revision 1.140  2011/09/02 10:37:54  brouard
                    349:   Summary: times.h is ok with mingw32 now.
                    350: 
1.140     brouard   351:   Revision 1.139  2010/06/14 07:50:17  brouard
                    352:   After the theft of my laptop, I probably lost some lines of codes which were not uploaded to the CVS tree.
                    353:   I remember having already fixed agemin agemax which are pointers now but not cvs saved.
                    354: 
1.139     brouard   355:   Revision 1.138  2010/04/30 18:19:40  brouard
                    356:   *** empty log message ***
                    357: 
1.138     brouard   358:   Revision 1.137  2010/04/29 18:11:38  brouard
                    359:   (Module): Checking covariates for more complex models
                    360:   than V1+V2. A lot of change to be done. Unstable.
                    361: 
1.137     brouard   362:   Revision 1.136  2010/04/26 20:30:53  brouard
                    363:   (Module): merging some libgsl code. Fixing computation
                    364:   of likelione (using inter/intrapolation if mle = 0) in order to
                    365:   get same likelihood as if mle=1.
                    366:   Some cleaning of code and comments added.
                    367: 
1.136     brouard   368:   Revision 1.135  2009/10/29 15:33:14  brouard
                    369:   (Module): Now imach stops if date of birth, at least year of birth, is not given. Some cleaning of the code.
                    370: 
1.135     brouard   371:   Revision 1.134  2009/10/29 13:18:53  brouard
                    372:   (Module): Now imach stops if date of birth, at least year of birth, is not given. Some cleaning of the code.
                    373: 
1.134     brouard   374:   Revision 1.133  2009/07/06 10:21:25  brouard
                    375:   just nforces
                    376: 
1.133     brouard   377:   Revision 1.132  2009/07/06 08:22:05  brouard
                    378:   Many tings
                    379: 
1.132     brouard   380:   Revision 1.131  2009/06/20 16:22:47  brouard
                    381:   Some dimensions resccaled
                    382: 
1.131     brouard   383:   Revision 1.130  2009/05/26 06:44:34  brouard
                    384:   (Module): Max Covariate is now set to 20 instead of 8. A
                    385:   lot of cleaning with variables initialized to 0. Trying to make
                    386:   V2+V3*age+V1+V4 strb=V3*age+V1+V4 working better.
                    387: 
1.130     brouard   388:   Revision 1.129  2007/08/31 13:49:27  lievre
                    389:   Modification of the way of exiting when the covariate is not binary in order to see on the window the error message before exiting
                    390: 
1.129     lievre    391:   Revision 1.128  2006/06/30 13:02:05  brouard
                    392:   (Module): Clarifications on computing e.j
                    393: 
1.128     brouard   394:   Revision 1.127  2006/04/28 18:11:50  brouard
                    395:   (Module): Yes the sum of survivors was wrong since
                    396:   imach-114 because nhstepm was no more computed in the age
                    397:   loop. Now we define nhstepma in the age loop.
                    398:   (Module): In order to speed up (in case of numerous covariates) we
                    399:   compute health expectancies (without variances) in a first step
                    400:   and then all the health expectancies with variances or standard
                    401:   deviation (needs data from the Hessian matrices) which slows the
                    402:   computation.
                    403:   In the future we should be able to stop the program is only health
                    404:   expectancies and graph are needed without standard deviations.
                    405: 
1.127     brouard   406:   Revision 1.126  2006/04/28 17:23:28  brouard
                    407:   (Module): Yes the sum of survivors was wrong since
                    408:   imach-114 because nhstepm was no more computed in the age
                    409:   loop. Now we define nhstepma in the age loop.
                    410:   Version 0.98h
                    411: 
1.126     brouard   412:   Revision 1.125  2006/04/04 15:20:31  lievre
                    413:   Errors in calculation of health expectancies. Age was not initialized.
                    414:   Forecasting file added.
                    415: 
                    416:   Revision 1.124  2006/03/22 17:13:53  lievre
                    417:   Parameters are printed with %lf instead of %f (more numbers after the comma).
                    418:   The log-likelihood is printed in the log file
                    419: 
                    420:   Revision 1.123  2006/03/20 10:52:43  brouard
                    421:   * imach.c (Module): <title> changed, corresponds to .htm file
                    422:   name. <head> headers where missing.
                    423: 
                    424:   * imach.c (Module): Weights can have a decimal point as for
                    425:   English (a comma might work with a correct LC_NUMERIC environment,
                    426:   otherwise the weight is truncated).
                    427:   Modification of warning when the covariates values are not 0 or
                    428:   1.
                    429:   Version 0.98g
                    430: 
                    431:   Revision 1.122  2006/03/20 09:45:41  brouard
                    432:   (Module): Weights can have a decimal point as for
                    433:   English (a comma might work with a correct LC_NUMERIC environment,
                    434:   otherwise the weight is truncated).
                    435:   Modification of warning when the covariates values are not 0 or
                    436:   1.
                    437:   Version 0.98g
                    438: 
                    439:   Revision 1.121  2006/03/16 17:45:01  lievre
                    440:   * imach.c (Module): Comments concerning covariates added
                    441: 
                    442:   * imach.c (Module): refinements in the computation of lli if
                    443:   status=-2 in order to have more reliable computation if stepm is
                    444:   not 1 month. Version 0.98f
                    445: 
                    446:   Revision 1.120  2006/03/16 15:10:38  lievre
                    447:   (Module): refinements in the computation of lli if
                    448:   status=-2 in order to have more reliable computation if stepm is
                    449:   not 1 month. Version 0.98f
                    450: 
                    451:   Revision 1.119  2006/03/15 17:42:26  brouard
                    452:   (Module): Bug if status = -2, the loglikelihood was
                    453:   computed as likelihood omitting the logarithm. Version O.98e
                    454: 
                    455:   Revision 1.118  2006/03/14 18:20:07  brouard
                    456:   (Module): varevsij Comments added explaining the second
                    457:   table of variances if popbased=1 .
                    458:   (Module): Covariances of eij, ekl added, graphs fixed, new html link.
                    459:   (Module): Function pstamp added
                    460:   (Module): Version 0.98d
                    461: 
                    462:   Revision 1.117  2006/03/14 17:16:22  brouard
                    463:   (Module): varevsij Comments added explaining the second
                    464:   table of variances if popbased=1 .
                    465:   (Module): Covariances of eij, ekl added, graphs fixed, new html link.
                    466:   (Module): Function pstamp added
                    467:   (Module): Version 0.98d
                    468: 
                    469:   Revision 1.116  2006/03/06 10:29:27  brouard
                    470:   (Module): Variance-covariance wrong links and
                    471:   varian-covariance of ej. is needed (Saito).
                    472: 
                    473:   Revision 1.115  2006/02/27 12:17:45  brouard
                    474:   (Module): One freematrix added in mlikeli! 0.98c
                    475: 
                    476:   Revision 1.114  2006/02/26 12:57:58  brouard
                    477:   (Module): Some improvements in processing parameter
                    478:   filename with strsep.
                    479: 
                    480:   Revision 1.113  2006/02/24 14:20:24  brouard
                    481:   (Module): Memory leaks checks with valgrind and:
                    482:   datafile was not closed, some imatrix were not freed and on matrix
                    483:   allocation too.
                    484: 
                    485:   Revision 1.112  2006/01/30 09:55:26  brouard
                    486:   (Module): Back to gnuplot.exe instead of wgnuplot.exe
                    487: 
                    488:   Revision 1.111  2006/01/25 20:38:18  brouard
                    489:   (Module): Lots of cleaning and bugs added (Gompertz)
                    490:   (Module): Comments can be added in data file. Missing date values
                    491:   can be a simple dot '.'.
                    492: 
                    493:   Revision 1.110  2006/01/25 00:51:50  brouard
                    494:   (Module): Lots of cleaning and bugs added (Gompertz)
                    495: 
                    496:   Revision 1.109  2006/01/24 19:37:15  brouard
                    497:   (Module): Comments (lines starting with a #) are allowed in data.
                    498: 
                    499:   Revision 1.108  2006/01/19 18:05:42  lievre
                    500:   Gnuplot problem appeared...
                    501:   To be fixed
                    502: 
                    503:   Revision 1.107  2006/01/19 16:20:37  brouard
                    504:   Test existence of gnuplot in imach path
                    505: 
                    506:   Revision 1.106  2006/01/19 13:24:36  brouard
                    507:   Some cleaning and links added in html output
                    508: 
                    509:   Revision 1.105  2006/01/05 20:23:19  lievre
                    510:   *** empty log message ***
                    511: 
                    512:   Revision 1.104  2005/09/30 16:11:43  lievre
                    513:   (Module): sump fixed, loop imx fixed, and simplifications.
                    514:   (Module): If the status is missing at the last wave but we know
                    515:   that the person is alive, then we can code his/her status as -2
                    516:   (instead of missing=-1 in earlier versions) and his/her
                    517:   contributions to the likelihood is 1 - Prob of dying from last
                    518:   health status (= 1-p13= p11+p12 in the easiest case of somebody in
                    519:   the healthy state at last known wave). Version is 0.98
                    520: 
                    521:   Revision 1.103  2005/09/30 15:54:49  lievre
                    522:   (Module): sump fixed, loop imx fixed, and simplifications.
                    523: 
                    524:   Revision 1.102  2004/09/15 17:31:30  brouard
                    525:   Add the possibility to read data file including tab characters.
                    526: 
                    527:   Revision 1.101  2004/09/15 10:38:38  brouard
                    528:   Fix on curr_time
                    529: 
                    530:   Revision 1.100  2004/07/12 18:29:06  brouard
                    531:   Add version for Mac OS X. Just define UNIX in Makefile
                    532: 
                    533:   Revision 1.99  2004/06/05 08:57:40  brouard
                    534:   *** empty log message ***
                    535: 
                    536:   Revision 1.98  2004/05/16 15:05:56  brouard
                    537:   New version 0.97 . First attempt to estimate force of mortality
                    538:   directly from the data i.e. without the need of knowing the health
                    539:   state at each age, but using a Gompertz model: log u =a + b*age .
                    540:   This is the basic analysis of mortality and should be done before any
                    541:   other analysis, in order to test if the mortality estimated from the
                    542:   cross-longitudinal survey is different from the mortality estimated
                    543:   from other sources like vital statistic data.
                    544: 
                    545:   The same imach parameter file can be used but the option for mle should be -3.
                    546: 
1.133     brouard   547:   Agnès, who wrote this part of the code, tried to keep most of the
1.126     brouard   548:   former routines in order to include the new code within the former code.
                    549: 
                    550:   The output is very simple: only an estimate of the intercept and of
                    551:   the slope with 95% confident intervals.
                    552: 
                    553:   Current limitations:
                    554:   A) Even if you enter covariates, i.e. with the
                    555:   model= V1+V2 equation for example, the programm does only estimate a unique global model without covariates.
                    556:   B) There is no computation of Life Expectancy nor Life Table.
                    557: 
                    558:   Revision 1.97  2004/02/20 13:25:42  lievre
                    559:   Version 0.96d. Population forecasting command line is (temporarily)
                    560:   suppressed.
                    561: 
                    562:   Revision 1.96  2003/07/15 15:38:55  brouard
                    563:   * imach.c (Repository): Errors in subdirf, 2, 3 while printing tmpout is
                    564:   rewritten within the same printf. Workaround: many printfs.
                    565: 
                    566:   Revision 1.95  2003/07/08 07:54:34  brouard
                    567:   * imach.c (Repository):
                    568:   (Repository): Using imachwizard code to output a more meaningful covariance
                    569:   matrix (cov(a12,c31) instead of numbers.
                    570: 
                    571:   Revision 1.94  2003/06/27 13:00:02  brouard
                    572:   Just cleaning
                    573: 
                    574:   Revision 1.93  2003/06/25 16:33:55  brouard
                    575:   (Module): On windows (cygwin) function asctime_r doesn't
                    576:   exist so I changed back to asctime which exists.
                    577:   (Module): Version 0.96b
                    578: 
                    579:   Revision 1.92  2003/06/25 16:30:45  brouard
                    580:   (Module): On windows (cygwin) function asctime_r doesn't
                    581:   exist so I changed back to asctime which exists.
                    582: 
                    583:   Revision 1.91  2003/06/25 15:30:29  brouard
                    584:   * imach.c (Repository): Duplicated warning errors corrected.
                    585:   (Repository): Elapsed time after each iteration is now output. It
                    586:   helps to forecast when convergence will be reached. Elapsed time
                    587:   is stamped in powell.  We created a new html file for the graphs
                    588:   concerning matrix of covariance. It has extension -cov.htm.
                    589: 
                    590:   Revision 1.90  2003/06/24 12:34:15  brouard
                    591:   (Module): Some bugs corrected for windows. Also, when
                    592:   mle=-1 a template is output in file "or"mypar.txt with the design
                    593:   of the covariance matrix to be input.
                    594: 
                    595:   Revision 1.89  2003/06/24 12:30:52  brouard
                    596:   (Module): Some bugs corrected for windows. Also, when
                    597:   mle=-1 a template is output in file "or"mypar.txt with the design
                    598:   of the covariance matrix to be input.
                    599: 
                    600:   Revision 1.88  2003/06/23 17:54:56  brouard
                    601:   * 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.
                    602: 
                    603:   Revision 1.87  2003/06/18 12:26:01  brouard
                    604:   Version 0.96
                    605: 
                    606:   Revision 1.86  2003/06/17 20:04:08  brouard
                    607:   (Module): Change position of html and gnuplot routines and added
                    608:   routine fileappend.
                    609: 
                    610:   Revision 1.85  2003/06/17 13:12:43  brouard
                    611:   * imach.c (Repository): Check when date of death was earlier that
                    612:   current date of interview. It may happen when the death was just
                    613:   prior to the death. In this case, dh was negative and likelihood
                    614:   was wrong (infinity). We still send an "Error" but patch by
                    615:   assuming that the date of death was just one stepm after the
                    616:   interview.
                    617:   (Repository): Because some people have very long ID (first column)
                    618:   we changed int to long in num[] and we added a new lvector for
                    619:   memory allocation. But we also truncated to 8 characters (left
                    620:   truncation)
                    621:   (Repository): No more line truncation errors.
                    622: 
                    623:   Revision 1.84  2003/06/13 21:44:43  brouard
                    624:   * imach.c (Repository): Replace "freqsummary" at a correct
                    625:   place. It differs from routine "prevalence" which may be called
                    626:   many times. Probs is memory consuming and must be used with
                    627:   parcimony.
                    628:   Version 0.95a3 (should output exactly the same maximization than 0.8a2)
                    629: 
                    630:   Revision 1.83  2003/06/10 13:39:11  lievre
                    631:   *** empty log message ***
                    632: 
                    633:   Revision 1.82  2003/06/05 15:57:20  brouard
                    634:   Add log in  imach.c and  fullversion number is now printed.
                    635: 
                    636: */
                    637: /*
                    638:    Interpolated Markov Chain
                    639: 
                    640:   Short summary of the programme:
                    641:   
1.227     brouard   642:   This program computes Healthy Life Expectancies or State-specific
                    643:   (if states aren't health statuses) Expectancies from
                    644:   cross-longitudinal data. Cross-longitudinal data consist in: 
                    645: 
                    646:   -1- a first survey ("cross") where individuals from different ages
                    647:   are interviewed on their health status or degree of disability (in
                    648:   the case of a health survey which is our main interest)
                    649: 
                    650:   -2- at least a second wave of interviews ("longitudinal") which
                    651:   measure each change (if any) in individual health status.  Health
                    652:   expectancies are computed from the time spent in each health state
                    653:   according to a model. More health states you consider, more time is
                    654:   necessary to reach the Maximum Likelihood of the parameters involved
                    655:   in the model.  The simplest model is the multinomial logistic model
                    656:   where pij is the probability to be observed in state j at the second
                    657:   wave conditional to be observed in state i at the first
                    658:   wave. Therefore the model is: log(pij/pii)= aij + bij*age+ cij*sex +
                    659:   etc , where 'age' is age and 'sex' is a covariate. If you want to
                    660:   have a more complex model than "constant and age", you should modify
                    661:   the program where the markup *Covariates have to be included here
                    662:   again* invites you to do it.  More covariates you add, slower the
1.126     brouard   663:   convergence.
                    664: 
                    665:   The advantage of this computer programme, compared to a simple
                    666:   multinomial logistic model, is clear when the delay between waves is not
                    667:   identical for each individual. Also, if a individual missed an
                    668:   intermediate interview, the information is lost, but taken into
                    669:   account using an interpolation or extrapolation.  
                    670: 
                    671:   hPijx is the probability to be observed in state i at age x+h
                    672:   conditional to the observed state i at age x. The delay 'h' can be
                    673:   split into an exact number (nh*stepm) of unobserved intermediate
                    674:   states. This elementary transition (by month, quarter,
                    675:   semester or year) is modelled as a multinomial logistic.  The hPx
                    676:   matrix is simply the matrix product of nh*stepm elementary matrices
                    677:   and the contribution of each individual to the likelihood is simply
                    678:   hPijx.
                    679: 
                    680:   Also this programme outputs the covariance matrix of the parameters but also
1.218     brouard   681:   of the life expectancies. It also computes the period (stable) prevalence.
                    682: 
                    683: Back prevalence and projections:
1.227     brouard   684: 
                    685:  - back_prevalence_limit(double *p, double **bprlim, double ageminpar,
                    686:    double agemaxpar, double ftolpl, int *ncvyearp, double
                    687:    dateprev1,double dateprev2, int firstpass, int lastpass, int
                    688:    mobilavproj)
                    689: 
                    690:     Computes the back prevalence limit for any combination of
                    691:     covariate values k at any age between ageminpar and agemaxpar and
                    692:     returns it in **bprlim. In the loops,
                    693: 
                    694:    - **bprevalim(**bprlim, ***mobaverage, nlstate, *p, age, **oldm,
                    695:        **savm, **dnewm, **doldm, **dsavm, ftolpl, ncvyearp, k);
                    696: 
                    697:    - hBijx Back Probability to be in state i at age x-h being in j at x
1.218     brouard   698:    Computes for any combination of covariates k and any age between bage and fage 
                    699:    p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                    700:                        oldm=oldms;savm=savms;
1.227     brouard   701: 
                    702:    - hbxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);
1.218     brouard   703:      Computes the transition matrix starting at age 'age' over
                    704:      'nhstepm*hstepm*stepm' months (i.e. until
                    705:      age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying
1.227     brouard   706:      nhstepm*hstepm matrices. 
                    707: 
                    708:      Returns p3mat[i][j][h] after calling
                    709:      p3mat[i][j][h]=matprod2(newm,
                    710:      bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent, dnewm, doldm,
                    711:      dsavm,ij),\ 1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath,
                    712:      oldm);
1.226     brouard   713: 
                    714: Important routines
                    715: 
                    716: - func (or funcone), computes logit (pij) distinguishing
                    717:   o fixed variables (single or product dummies or quantitative);
                    718:   o varying variables by:
                    719:    (1) wave (single, product dummies, quantitative), 
                    720:    (2) by age (can be month) age (done), age*age (done), age*Vn where Vn can be:
                    721:        % fixed dummy (treated) or quantitative (not done because time-consuming);
                    722:        % varying dummy (not done) or quantitative (not done);
                    723: - Tricode which tests the modality of dummy variables (in order to warn with wrong or empty modalities)
                    724:   and returns the number of efficient covariates cptcoveff and modalities nbcode[Tvar[k]][1]= 0 and nbcode[Tvar[k]][2]= 1 usually.
                    725: - printinghtml which outputs results like life expectancy in and from a state for a combination of modalities of dummy variables
                    726:   o There are 2*cptcoveff combinations of (0,1) for cptcoveff variables. Outputting only combinations with people, éliminating 1 1 if
                    727:     race White (0 0), Black vs White (1 0), Hispanic (0 1) and 1 1 being meaningless.
1.218     brouard   728: 
1.226     brouard   729: 
                    730:   
1.133     brouard   731:   Authors: Nicolas Brouard (brouard@ined.fr) and Agnès Lièvre (lievre@ined.fr).
                    732:            Institut national d'études démographiques, Paris.
1.126     brouard   733:   This software have been partly granted by Euro-REVES, a concerted action
                    734:   from the European Union.
                    735:   It is copyrighted identically to a GNU software product, ie programme and
                    736:   software can be distributed freely for non commercial use. Latest version
                    737:   can be accessed at http://euroreves.ined.fr/imach .
                    738: 
                    739:   Help to debug: LD_PRELOAD=/usr/local/lib/libnjamd.so ./imach foo.imach
                    740:   or better on gdb : set env LD_PRELOAD=/usr/local/lib/libnjamd.so
                    741:   
                    742:   **********************************************************************/
                    743: /*
                    744:   main
                    745:   read parameterfile
                    746:   read datafile
                    747:   concatwav
                    748:   freqsummary
                    749:   if (mle >= 1)
                    750:     mlikeli
                    751:   print results files
                    752:   if mle==1 
                    753:      computes hessian
                    754:   read end of parameter file: agemin, agemax, bage, fage, estepm
                    755:       begin-prev-date,...
                    756:   open gnuplot file
                    757:   open html file
1.145     brouard   758:   period (stable) prevalence      | pl_nom    1-1 2-2 etc by covariate
                    759:    for age prevalim()             | #****** V1=0  V2=1  V3=1  V4=0 ******
                    760:                                   | 65 1 0 2 1 3 1 4 0  0.96326 0.03674
                    761:     freexexit2 possible for memory heap.
                    762: 
                    763:   h Pij x                         | pij_nom  ficrestpij
                    764:    # Cov Agex agex+h hpijx with i,j= 1-1 1-2     1-3     2-1     2-2     2-3
                    765:        1  85   85    1.00000             0.00000 0.00000 0.00000 1.00000 0.00000
                    766:        1  85   86    0.68299             0.22291 0.09410 0.71093 0.00000 0.28907
                    767: 
                    768:        1  65   99    0.00364             0.00322 0.99314 0.00350 0.00310 0.99340
                    769:        1  65  100    0.00214             0.00204 0.99581 0.00206 0.00196 0.99597
                    770:   variance of p one-step probabilities varprob  | prob_nom   ficresprob #One-step probabilities and stand. devi in ()
                    771:    Standard deviation of one-step probabilities | probcor_nom   ficresprobcor #One-step probabilities and correlation matrix
                    772:    Matrix of variance covariance of one-step probabilities |  probcov_nom ficresprobcov #One-step probabilities and covariance matrix
                    773: 
1.126     brouard   774:   forecasting if prevfcast==1 prevforecast call prevalence()
                    775:   health expectancies
                    776:   Variance-covariance of DFLE
                    777:   prevalence()
                    778:    movingaverage()
                    779:   varevsij() 
                    780:   if popbased==1 varevsij(,popbased)
                    781:   total life expectancies
                    782:   Variance of period (stable) prevalence
                    783:  end
                    784: */
                    785: 
1.187     brouard   786: /* #define DEBUG */
                    787: /* #define DEBUGBRENT */
1.203     brouard   788: /* #define DEBUGLINMIN */
                    789: /* #define DEBUGHESS */
                    790: #define DEBUGHESSIJ
1.224     brouard   791: /* #define LINMINORIGINAL  /\* Don't use loop on scale in linmin (accepting nan) *\/ */
1.165     brouard   792: #define POWELL /* Instead of NLOPT */
1.224     brouard   793: #define POWELLNOF3INFF1TEST /* Skip test */
1.186     brouard   794: /* #define POWELLORIGINAL /\* Don't use Directest to decide new direction but original Powell test *\/ */
                    795: /* #define MNBRAKORIGINAL /\* Don't use mnbrak fix *\/ */
1.126     brouard   796: 
                    797: #include <math.h>
                    798: #include <stdio.h>
                    799: #include <stdlib.h>
                    800: #include <string.h>
1.226     brouard   801: #include <ctype.h>
1.159     brouard   802: 
                    803: #ifdef _WIN32
                    804: #include <io.h>
1.172     brouard   805: #include <windows.h>
                    806: #include <tchar.h>
1.159     brouard   807: #else
1.126     brouard   808: #include <unistd.h>
1.159     brouard   809: #endif
1.126     brouard   810: 
                    811: #include <limits.h>
                    812: #include <sys/types.h>
1.171     brouard   813: 
                    814: #if defined(__GNUC__)
                    815: #include <sys/utsname.h> /* Doesn't work on Windows */
                    816: #endif
                    817: 
1.126     brouard   818: #include <sys/stat.h>
                    819: #include <errno.h>
1.159     brouard   820: /* extern int errno; */
1.126     brouard   821: 
1.157     brouard   822: /* #ifdef LINUX */
                    823: /* #include <time.h> */
                    824: /* #include "timeval.h" */
                    825: /* #else */
                    826: /* #include <sys/time.h> */
                    827: /* #endif */
                    828: 
1.126     brouard   829: #include <time.h>
                    830: 
1.136     brouard   831: #ifdef GSL
                    832: #include <gsl/gsl_errno.h>
                    833: #include <gsl/gsl_multimin.h>
                    834: #endif
                    835: 
1.167     brouard   836: 
1.162     brouard   837: #ifdef NLOPT
                    838: #include <nlopt.h>
                    839: typedef struct {
                    840:   double (* function)(double [] );
                    841: } myfunc_data ;
                    842: #endif
                    843: 
1.126     brouard   844: /* #include <libintl.h> */
                    845: /* #define _(String) gettext (String) */
                    846: 
1.141     brouard   847: #define MAXLINE 1024 /* Was 256. Overflow with 312 with 2 states and 4 covariates. Should be ok */
1.126     brouard   848: 
                    849: #define GNUPLOTPROGRAM "gnuplot"
                    850: /*#define GNUPLOTPROGRAM "..\\gp37mgw\\wgnuplot"*/
                    851: #define FILENAMELENGTH 132
                    852: 
                    853: #define        GLOCK_ERROR_NOPATH              -1      /* empty path */
                    854: #define        GLOCK_ERROR_GETCWD              -2      /* cannot get cwd */
                    855: 
1.144     brouard   856: #define MAXPARM 128 /**< Maximum number of parameters for the optimization */
                    857: #define NPARMAX 64 /**< (nlstate+ndeath-1)*nlstate*ncovmodel */
1.126     brouard   858: 
                    859: #define NINTERVMAX 8
1.144     brouard   860: #define NLSTATEMAX 8 /**< Maximum number of live states (for func) */
                    861: #define NDEATHMAX 8 /**< Maximum number of dead states (for func) */
                    862: #define NCOVMAX 20 /**< Maximum number of covariates, including generated covariates V1*V2 */
1.197     brouard   863: #define codtabm(h,k)  (1 & (h-1) >> (k-1))+1
1.211     brouard   864: /*#define decodtabm(h,k,cptcoveff)= (h <= (1<<cptcoveff)?(((h-1) >> (k-1)) & 1) +1 : -1)*/
                    865: #define decodtabm(h,k,cptcoveff) (((h-1) >> (k-1)) & 1) +1 
1.126     brouard   866: #define MAXN 20000
1.144     brouard   867: #define YEARM 12. /**< Number of months per year */
1.218     brouard   868: /* #define AGESUP 130 */
                    869: #define AGESUP 150
                    870: #define AGEMARGE 25 /* Marge for agemin and agemax for(iage=agemin-AGEMARGE; iage <= agemax+3+AGEMARGE; iage++) */
1.126     brouard   871: #define AGEBASE 40
1.194     brouard   872: #define AGEOVERFLOW 1.e20
1.164     brouard   873: #define AGEGOMP 10 /**< Minimal age for Gompertz adjustment */
1.157     brouard   874: #ifdef _WIN32
                    875: #define DIRSEPARATOR '\\'
                    876: #define CHARSEPARATOR "\\"
                    877: #define ODIRSEPARATOR '/'
                    878: #else
1.126     brouard   879: #define DIRSEPARATOR '/'
                    880: #define CHARSEPARATOR "/"
                    881: #define ODIRSEPARATOR '\\'
                    882: #endif
                    883: 
1.227     brouard   884: /* $Id: imach.c,v 1.226 2016/07/12 18:42:34 brouard Exp $ */
1.126     brouard   885: /* $State: Exp $ */
1.196     brouard   886: #include "version.h"
                    887: char version[]=__IMACH_VERSION__;
1.224     brouard   888: 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";
1.227     brouard   889: char fullversion[]="$Revision: 1.226 $ $Date: 2016/07/12 18:42:34 $"; 
1.126     brouard   890: char strstart[80];
                    891: char optionfilext[10], optionfilefiname[FILENAMELENGTH];
1.130     brouard   892: int erreur=0, nberr=0, nbwarn=0; /* Error number, number of errors number of warnings  */
1.187     brouard   893: int nagesqr=0, nforce=0; /* nagesqr=1 if model is including age*age, number of forces */
1.145     brouard   894: /* Number of covariates model=V2+V1+ V3*age+V2*V4 */
                    895: int cptcovn=0; /**< cptcovn number of covariates added in the model (excepting constant and age and age*product) */
                    896: int cptcovt=0; /**< cptcovt number of covariates added in the model (excepting constant and age) */
1.225     brouard   897: int cptcovs=0; /**< cptcovs number of simple covariates in the model V2+V1 =2 */
                    898: int cptcovsnq=0; /**< cptcovsnq number of simple covariates in the model but non quantitative V2+V1 =2 */
1.145     brouard   899: int cptcovage=0; /**< Number of covariates with age: V3*age only =1 */
                    900: int cptcovprodnoage=0; /**< Number of covariate products without age */   
                    901: int cptcoveff=0; /* Total number of covariates to vary for printing results */
1.224     brouard   902: int ncoveff=0; /* Total number of effective covariates in the model */
1.225     brouard   903: int nqfveff=0; /**< nqfveff Number of Quantitative Fixed Variables Effective */
1.224     brouard   904: int ntveff=0; /**< ntveff number of effective time varying variables */
                    905: int nqtveff=0; /**< ntqveff number of effective time varying quantitative variables */
1.145     brouard   906: int cptcov=0; /* Working variable */
1.218     brouard   907: int ncovcombmax=NCOVMAX; /* Maximum calculated number of covariate combination = pow(2, cptcoveff) */
1.126     brouard   908: int npar=NPARMAX;
                    909: int nlstate=2; /* Number of live states */
                    910: int ndeath=1; /* Number of dead states */
1.130     brouard   911: int ncovmodel=0, ncovcol=0;     /* Total number of covariables including constant a12*1 +b12*x ncovmodel=2 */
1.223     brouard   912: int  nqv=0, ntv=0, nqtv=0;    /* Total number of quantitative variables, time variable (dummy), quantitative and time variable */ 
1.126     brouard   913: int popbased=0;
                    914: 
                    915: int *wav; /* Number of waves for this individuual 0 is possible */
1.130     brouard   916: int maxwav=0; /* Maxim number of waves */
                    917: int jmin=0, jmax=0; /* min, max spacing between 2 waves */
                    918: int ijmin=0, ijmax=0; /* Individuals having jmin and jmax */ 
                    919: int gipmx=0, gsw=0; /* Global variables on the number of contributions 
1.126     brouard   920:                   to the likelihood and the sum of weights (done by funcone)*/
1.130     brouard   921: int mle=1, weightopt=0;
1.126     brouard   922: int **mw; /* mw[mi][i] is number of the mi wave for this individual */
                    923: int **dh; /* dh[mi][i] is number of steps between mi,mi+1 for this individual */
                    924: int **bh; /* bh[mi][i] is the bias (+ or -) for this individual if the delay between
                    925:           * wave mi and wave mi+1 is not an exact multiple of stepm. */
1.162     brouard   926: int countcallfunc=0;  /* Count the number of calls to func */
1.130     brouard   927: double jmean=1; /* Mean space between 2 waves */
1.145     brouard   928: double **matprod2(); /* test */
1.126     brouard   929: double **oldm, **newm, **savm; /* Working pointers to matrices */
                    930: double **oldms, **newms, **savms; /* Fixed working pointers to matrices */
1.218     brouard   931: double  **ddnewms, **ddoldms, **ddsavms; /* for freeing later */
                    932: 
1.136     brouard   933: /*FILE *fic ; */ /* Used in readdata only */
1.217     brouard   934: FILE *ficpar, *ficparo,*ficres, *ficresp, *ficresphtm, *ficresphtmfr, *ficrespl, *ficresplb,*ficrespij, *ficrespijb, *ficrest,*ficresf, *ficresfb,*ficrespop;
1.126     brouard   935: FILE *ficlog, *ficrespow;
1.130     brouard   936: int globpr=0; /* Global variable for printing or not */
1.126     brouard   937: double fretone; /* Only one call to likelihood */
1.130     brouard   938: long ipmx=0; /* Number of contributions */
1.126     brouard   939: double sw; /* Sum of weights */
                    940: char filerespow[FILENAMELENGTH];
                    941: char fileresilk[FILENAMELENGTH]; /* File of individual contributions to the likelihood */
                    942: FILE *ficresilk;
                    943: FILE *ficgp,*ficresprob,*ficpop, *ficresprobcov, *ficresprobcor;
                    944: FILE *ficresprobmorprev;
                    945: FILE *fichtm, *fichtmcov; /* Html File */
                    946: FILE *ficreseij;
                    947: char filerese[FILENAMELENGTH];
                    948: FILE *ficresstdeij;
                    949: char fileresstde[FILENAMELENGTH];
                    950: FILE *ficrescveij;
                    951: char filerescve[FILENAMELENGTH];
                    952: FILE  *ficresvij;
                    953: char fileresv[FILENAMELENGTH];
                    954: FILE  *ficresvpl;
                    955: char fileresvpl[FILENAMELENGTH];
                    956: char title[MAXLINE];
1.217     brouard   957: char optionfile[FILENAMELENGTH], datafile[FILENAMELENGTH],  filerespl[FILENAMELENGTH],  fileresplb[FILENAMELENGTH];
1.126     brouard   958: char plotcmd[FILENAMELENGTH], pplotcmd[FILENAMELENGTH];
                    959: char tmpout[FILENAMELENGTH],  tmpout2[FILENAMELENGTH]; 
                    960: char command[FILENAMELENGTH];
                    961: int  outcmd=0;
                    962: 
1.217     brouard   963: char fileres[FILENAMELENGTH], filerespij[FILENAMELENGTH], filerespijb[FILENAMELENGTH], filereso[FILENAMELENGTH], rfileres[FILENAMELENGTH];
1.202     brouard   964: char fileresu[FILENAMELENGTH]; /* fileres without r in front */
1.126     brouard   965: char filelog[FILENAMELENGTH]; /* Log file */
                    966: char filerest[FILENAMELENGTH];
                    967: char fileregp[FILENAMELENGTH];
                    968: char popfile[FILENAMELENGTH];
                    969: 
                    970: char optionfilegnuplot[FILENAMELENGTH], optionfilehtm[FILENAMELENGTH], optionfilehtmcov[FILENAMELENGTH] ;
                    971: 
1.157     brouard   972: /* struct timeval start_time, end_time, curr_time, last_time, forecast_time; */
                    973: /* struct timezone tzp; */
                    974: /* extern int gettimeofday(); */
                    975: struct tm tml, *gmtime(), *localtime();
                    976: 
                    977: extern time_t time();
                    978: 
                    979: struct tm start_time, end_time, curr_time, last_time, forecast_time;
                    980: time_t  rstart_time, rend_time, rcurr_time, rlast_time, rforecast_time; /* raw time */
                    981: struct tm tm;
                    982: 
1.126     brouard   983: char strcurr[80], strfor[80];
                    984: 
                    985: char *endptr;
                    986: long lval;
                    987: double dval;
                    988: 
                    989: #define NR_END 1
                    990: #define FREE_ARG char*
                    991: #define FTOL 1.0e-10
                    992: 
                    993: #define NRANSI 
                    994: #define ITMAX 200 
                    995: 
                    996: #define TOL 2.0e-4 
                    997: 
                    998: #define CGOLD 0.3819660 
                    999: #define ZEPS 1.0e-10 
                   1000: #define SHFT(a,b,c,d) (a)=(b);(b)=(c);(c)=(d); 
                   1001: 
                   1002: #define GOLD 1.618034 
                   1003: #define GLIMIT 100.0 
                   1004: #define TINY 1.0e-20 
                   1005: 
                   1006: static double maxarg1,maxarg2;
                   1007: #define FMAX(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)>(maxarg2)? (maxarg1):(maxarg2))
                   1008: #define FMIN(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)<(maxarg2)? (maxarg1):(maxarg2))
                   1009:   
                   1010: #define SIGN(a,b) ((b)>0.0 ? fabs(a) : -fabs(a))
                   1011: #define rint(a) floor(a+0.5)
1.166     brouard  1012: /* http://www.thphys.uni-heidelberg.de/~robbers/cmbeasy/doc/html/myutils_8h-source.html */
1.183     brouard  1013: #define mytinydouble 1.0e-16
1.166     brouard  1014: /* #define DEQUAL(a,b) (fabs((a)-(b))<mytinydouble) */
                   1015: /* http://www.thphys.uni-heidelberg.de/~robbers/cmbeasy/doc/html/mynrutils_8h-source.html */
                   1016: /* static double dsqrarg; */
                   1017: /* #define DSQR(a) (DEQUAL((dsqrarg=(a)),0.0) ? 0.0 : dsqrarg*dsqrarg) */
1.126     brouard  1018: static double sqrarg;
                   1019: #define SQR(a) ((sqrarg=(a)) == 0.0 ? 0.0 :sqrarg*sqrarg)
                   1020: #define SWAP(a,b) {temp=(a);(a)=(b);(b)=temp;} 
                   1021: int agegomp= AGEGOMP;
                   1022: 
                   1023: int imx; 
                   1024: int stepm=1;
                   1025: /* Stepm, step in month: minimum step interpolation*/
                   1026: 
                   1027: int estepm;
                   1028: /* Estepm, step in month to interpolate survival function in order to approximate Life Expectancy*/
                   1029: 
                   1030: int m,nb;
                   1031: long *num;
1.197     brouard  1032: int firstpass=0, lastpass=4,*cod, *cens;
1.192     brouard  1033: int *ncodemax;  /* ncodemax[j]= Number of modalities of the j th
                   1034:                   covariate for which somebody answered excluding 
                   1035:                   undefined. Usually 2: 0 and 1. */
                   1036: int *ncodemaxwundef;  /* ncodemax[j]= Number of modalities of the j th
                   1037:                             covariate for which somebody answered including 
                   1038:                             undefined. Usually 3: -1, 0 and 1. */
1.126     brouard  1039: double **agev,*moisnais, *annais, *moisdc, *andc,**mint, **anint;
1.218     brouard  1040: double **pmmij, ***probs; /* Global pointer */
1.219     brouard  1041: double ***mobaverage, ***mobaverages; /* New global variable */
1.126     brouard  1042: double *ageexmed,*agecens;
                   1043: double dateintmean=0;
                   1044: 
                   1045: double *weight;
                   1046: int **s; /* Status */
1.141     brouard  1047: double *agedc;
1.145     brouard  1048: double  **covar; /**< covar[j,i], value of jth covariate for individual i,
1.141     brouard  1049:                  * covar=matrix(0,NCOVMAX,1,n); 
1.187     brouard  1050:                  * cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*age; */
1.225     brouard  1051: double **coqvar; /* Fixed quantitative covariate iqv */
                   1052: double ***cotvar; /* Time varying covariate itv */
                   1053: double ***cotqvar; /* Time varying quantitative covariate itqv */
1.141     brouard  1054: double  idx; 
                   1055: int **nbcode, *Tvar; /**< model=V2 => Tvar[1]= 2 */
1.226     brouard  1056: int *Typevar; /**< 0 for simple covariate (dummy, quantitative, fixed or varying), 1 for age product, 2 for  product */
1.227     brouard  1057: int *Fixed; /** Fixed[k] 0=fixed, 1 varying, 2 fixed with age product, 3 varying with age product */ 
                   1058: 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  1059: int *Tage;
1.227     brouard  1060: int anyvaryingduminmodel=0; /**< Any varying dummy in Model=1 yes, 0 no, to avoid a loop on waves in freq */ 
1.228   ! brouard  1061: 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*/
        !          1062: 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*/
        !          1063: 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  1064: int *Ndum; /** Freq of modality (tricode */
1.200     brouard  1065: /* int **codtab;*/ /**< codtab=imatrix(1,100,1,10); */
1.227     brouard  1066: int **Tvard;
                   1067: int *Tprod;/**< Gives the k position of the k1 product */
                   1068: int *Tposprod; /**< Gives the k1 product from the k position */
                   1069: /* Tprod[k1=1]=3(=V1*V4) for V2+V1+V1*V4+age*V3
                   1070:    if  V2+V1+V1*V4+age*V3+V3*V2   TProd[k1=2]=5 (V3*V2)
                   1071:    Tposprod[k]=k1 , Tposprod[3]=1, Tposprod[5]=2 
                   1072: */
                   1073: int cptcovprod, *Tvaraff, *invalidvarcomb;
1.126     brouard  1074: double *lsurv, *lpop, *tpop;
                   1075: 
1.143     brouard  1076: double ftol=FTOL; /**< Tolerance for computing Max Likelihood */
                   1077: double ftolhess; /**< Tolerance for computing hessian */
1.126     brouard  1078: 
                   1079: /**************** split *************************/
                   1080: static int split( char *path, char *dirc, char *name, char *ext, char *finame )
                   1081: {
                   1082:   /* From a file name with (full) path (either Unix or Windows) we extract the directory (dirc)
                   1083:      the name of the file (name), its extension only (ext) and its first part of the name (finame)
                   1084:   */ 
                   1085:   char *ss;                            /* pointer */
1.186     brouard  1086:   int  l1=0, l2=0;                             /* length counters */
1.126     brouard  1087: 
                   1088:   l1 = strlen(path );                  /* length of path */
                   1089:   if ( l1 == 0 ) return( GLOCK_ERROR_NOPATH );
                   1090:   ss= strrchr( path, DIRSEPARATOR );           /* find last / */
                   1091:   if ( ss == NULL ) {                  /* no directory, so determine current directory */
                   1092:     strcpy( name, path );              /* we got the fullname name because no directory */
                   1093:     /*if(strrchr(path, ODIRSEPARATOR )==NULL)
                   1094:       printf("Warning you should use %s as a separator\n",DIRSEPARATOR);*/
                   1095:     /* get current working directory */
                   1096:     /*    extern  char* getcwd ( char *buf , int len);*/
1.184     brouard  1097: #ifdef WIN32
                   1098:     if (_getcwd( dirc, FILENAME_MAX ) == NULL ) {
                   1099: #else
                   1100:        if (getcwd(dirc, FILENAME_MAX) == NULL) {
                   1101: #endif
1.126     brouard  1102:       return( GLOCK_ERROR_GETCWD );
                   1103:     }
                   1104:     /* got dirc from getcwd*/
                   1105:     printf(" DIRC = %s \n",dirc);
1.205     brouard  1106:   } else {                             /* strip directory from path */
1.126     brouard  1107:     ss++;                              /* after this, the filename */
                   1108:     l2 = strlen( ss );                 /* length of filename */
                   1109:     if ( l2 == 0 ) return( GLOCK_ERROR_NOPATH );
                   1110:     strcpy( name, ss );                /* save file name */
                   1111:     strncpy( dirc, path, l1 - l2 );    /* now the directory */
1.186     brouard  1112:     dirc[l1-l2] = '\0';                        /* add zero */
1.126     brouard  1113:     printf(" DIRC2 = %s \n",dirc);
                   1114:   }
                   1115:   /* We add a separator at the end of dirc if not exists */
                   1116:   l1 = strlen( dirc );                 /* length of directory */
                   1117:   if( dirc[l1-1] != DIRSEPARATOR ){
                   1118:     dirc[l1] =  DIRSEPARATOR;
                   1119:     dirc[l1+1] = 0; 
                   1120:     printf(" DIRC3 = %s \n",dirc);
                   1121:   }
                   1122:   ss = strrchr( name, '.' );           /* find last / */
                   1123:   if (ss >0){
                   1124:     ss++;
                   1125:     strcpy(ext,ss);                    /* save extension */
                   1126:     l1= strlen( name);
                   1127:     l2= strlen(ss)+1;
                   1128:     strncpy( finame, name, l1-l2);
                   1129:     finame[l1-l2]= 0;
                   1130:   }
                   1131: 
                   1132:   return( 0 );                         /* we're done */
                   1133: }
                   1134: 
                   1135: 
                   1136: /******************************************/
                   1137: 
                   1138: void replace_back_to_slash(char *s, char*t)
                   1139: {
                   1140:   int i;
                   1141:   int lg=0;
                   1142:   i=0;
                   1143:   lg=strlen(t);
                   1144:   for(i=0; i<= lg; i++) {
                   1145:     (s[i] = t[i]);
                   1146:     if (t[i]== '\\') s[i]='/';
                   1147:   }
                   1148: }
                   1149: 
1.132     brouard  1150: char *trimbb(char *out, char *in)
1.137     brouard  1151: { /* Trim multiple blanks in line but keeps first blanks if line starts with blanks */
1.132     brouard  1152:   char *s;
                   1153:   s=out;
                   1154:   while (*in != '\0'){
1.137     brouard  1155:     while( *in == ' ' && *(in+1) == ' '){ /* && *(in+1) != '\0'){*/
1.132     brouard  1156:       in++;
                   1157:     }
                   1158:     *out++ = *in++;
                   1159:   }
                   1160:   *out='\0';
                   1161:   return s;
                   1162: }
                   1163: 
1.187     brouard  1164: /* char *substrchaine(char *out, char *in, char *chain) */
                   1165: /* { */
                   1166: /*   /\* Substract chain 'chain' from 'in', return and output 'out' *\/ */
                   1167: /*   char *s, *t; */
                   1168: /*   t=in;s=out; */
                   1169: /*   while ((*in != *chain) && (*in != '\0')){ */
                   1170: /*     *out++ = *in++; */
                   1171: /*   } */
                   1172: 
                   1173: /*   /\* *in matches *chain *\/ */
                   1174: /*   while ((*in++ == *chain++) && (*in != '\0')){ */
                   1175: /*     printf("*in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
                   1176: /*   } */
                   1177: /*   in--; chain--; */
                   1178: /*   while ( (*in != '\0')){ */
                   1179: /*     printf("Bef *in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
                   1180: /*     *out++ = *in++; */
                   1181: /*     printf("Aft *in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
                   1182: /*   } */
                   1183: /*   *out='\0'; */
                   1184: /*   out=s; */
                   1185: /*   return out; */
                   1186: /* } */
                   1187: char *substrchaine(char *out, char *in, char *chain)
                   1188: {
                   1189:   /* Substract chain 'chain' from 'in', return and output 'out' */
                   1190:   /* in="V1+V1*age+age*age+V2", chain="age*age" */
                   1191: 
                   1192:   char *strloc;
                   1193: 
                   1194:   strcpy (out, in); 
                   1195:   strloc = strstr(out, chain); /* strloc points to out at age*age+V2 */
                   1196:   printf("Bef strloc=%s chain=%s out=%s \n", strloc, chain, out);
                   1197:   if(strloc != NULL){ 
                   1198:     /* will affect out */ /* strloc+strlenc(chain)=+V2 */ /* Will also work in Unicode */
                   1199:     memmove(strloc,strloc+strlen(chain), strlen(strloc+strlen(chain))+1);
                   1200:     /* strcpy (strloc, strloc +strlen(chain));*/
                   1201:   }
                   1202:   printf("Aft strloc=%s chain=%s in=%s out=%s \n", strloc, chain, in, out);
                   1203:   return out;
                   1204: }
                   1205: 
                   1206: 
1.145     brouard  1207: char *cutl(char *blocc, char *alocc, char *in, char occ)
                   1208: {
1.187     brouard  1209:   /* cuts string in into blocc and alocc where blocc ends before FIRST occurence of char 'occ' 
1.145     brouard  1210:      and alocc starts after first occurence of char 'occ' : ex cutv(blocc,alocc,"abcdef2ghi2j",'2')
1.187     brouard  1211:      gives blocc="abcdef" and alocc="ghi2j".
1.145     brouard  1212:      If occ is not found blocc is null and alocc is equal to in. Returns blocc
                   1213:   */
1.160     brouard  1214:   char *s, *t;
1.145     brouard  1215:   t=in;s=in;
                   1216:   while ((*in != occ) && (*in != '\0')){
                   1217:     *alocc++ = *in++;
                   1218:   }
                   1219:   if( *in == occ){
                   1220:     *(alocc)='\0';
                   1221:     s=++in;
                   1222:   }
                   1223:  
                   1224:   if (s == t) {/* occ not found */
                   1225:     *(alocc-(in-s))='\0';
                   1226:     in=s;
                   1227:   }
                   1228:   while ( *in != '\0'){
                   1229:     *blocc++ = *in++;
                   1230:   }
                   1231: 
                   1232:   *blocc='\0';
                   1233:   return t;
                   1234: }
1.137     brouard  1235: char *cutv(char *blocc, char *alocc, char *in, char occ)
                   1236: {
1.187     brouard  1237:   /* cuts string in into blocc and alocc where blocc ends before LAST occurence of char 'occ' 
1.137     brouard  1238:      and alocc starts after last occurence of char 'occ' : ex cutv(blocc,alocc,"abcdef2ghi2j",'2')
                   1239:      gives blocc="abcdef2ghi" and alocc="j".
                   1240:      If occ is not found blocc is null and alocc is equal to in. Returns alocc
                   1241:   */
                   1242:   char *s, *t;
                   1243:   t=in;s=in;
                   1244:   while (*in != '\0'){
                   1245:     while( *in == occ){
                   1246:       *blocc++ = *in++;
                   1247:       s=in;
                   1248:     }
                   1249:     *blocc++ = *in++;
                   1250:   }
                   1251:   if (s == t) /* occ not found */
                   1252:     *(blocc-(in-s))='\0';
                   1253:   else
                   1254:     *(blocc-(in-s)-1)='\0';
                   1255:   in=s;
                   1256:   while ( *in != '\0'){
                   1257:     *alocc++ = *in++;
                   1258:   }
                   1259: 
                   1260:   *alocc='\0';
                   1261:   return s;
                   1262: }
                   1263: 
1.126     brouard  1264: int nbocc(char *s, char occ)
                   1265: {
                   1266:   int i,j=0;
                   1267:   int lg=20;
                   1268:   i=0;
                   1269:   lg=strlen(s);
                   1270:   for(i=0; i<= lg; i++) {
                   1271:   if  (s[i] == occ ) j++;
                   1272:   }
                   1273:   return j;
                   1274: }
                   1275: 
1.137     brouard  1276: /* void cutv(char *u,char *v, char*t, char occ) */
                   1277: /* { */
                   1278: /*   /\* cuts string t into u and v where u ends before last occurence of char 'occ'  */
                   1279: /*      and v starts after last occurence of char 'occ' : ex cutv(u,v,"abcdef2ghi2j",'2') */
                   1280: /*      gives u="abcdef2ghi" and v="j" *\/ */
                   1281: /*   int i,lg,j,p=0; */
                   1282: /*   i=0; */
                   1283: /*   lg=strlen(t); */
                   1284: /*   for(j=0; j<=lg-1; j++) { */
                   1285: /*     if((t[j]!= occ) && (t[j+1]== occ)) p=j+1; */
                   1286: /*   } */
1.126     brouard  1287: 
1.137     brouard  1288: /*   for(j=0; j<p; j++) { */
                   1289: /*     (u[j] = t[j]); */
                   1290: /*   } */
                   1291: /*      u[p]='\0'; */
1.126     brouard  1292: 
1.137     brouard  1293: /*    for(j=0; j<= lg; j++) { */
                   1294: /*     if (j>=(p+1))(v[j-p-1] = t[j]); */
                   1295: /*   } */
                   1296: /* } */
1.126     brouard  1297: 
1.160     brouard  1298: #ifdef _WIN32
                   1299: char * strsep(char **pp, const char *delim)
                   1300: {
                   1301:   char *p, *q;
                   1302:          
                   1303:   if ((p = *pp) == NULL)
                   1304:     return 0;
                   1305:   if ((q = strpbrk (p, delim)) != NULL)
                   1306:   {
                   1307:     *pp = q + 1;
                   1308:     *q = '\0';
                   1309:   }
                   1310:   else
                   1311:     *pp = 0;
                   1312:   return p;
                   1313: }
                   1314: #endif
                   1315: 
1.126     brouard  1316: /********************** nrerror ********************/
                   1317: 
                   1318: void nrerror(char error_text[])
                   1319: {
                   1320:   fprintf(stderr,"ERREUR ...\n");
                   1321:   fprintf(stderr,"%s\n",error_text);
                   1322:   exit(EXIT_FAILURE);
                   1323: }
                   1324: /*********************** vector *******************/
                   1325: double *vector(int nl, int nh)
                   1326: {
                   1327:   double *v;
                   1328:   v=(double *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(double)));
                   1329:   if (!v) nrerror("allocation failure in vector");
                   1330:   return v-nl+NR_END;
                   1331: }
                   1332: 
                   1333: /************************ free vector ******************/
                   1334: void free_vector(double*v, int nl, int nh)
                   1335: {
                   1336:   free((FREE_ARG)(v+nl-NR_END));
                   1337: }
                   1338: 
                   1339: /************************ivector *******************************/
                   1340: int *ivector(long nl,long nh)
                   1341: {
                   1342:   int *v;
                   1343:   v=(int *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(int)));
                   1344:   if (!v) nrerror("allocation failure in ivector");
                   1345:   return v-nl+NR_END;
                   1346: }
                   1347: 
                   1348: /******************free ivector **************************/
                   1349: void free_ivector(int *v, long nl, long nh)
                   1350: {
                   1351:   free((FREE_ARG)(v+nl-NR_END));
                   1352: }
                   1353: 
                   1354: /************************lvector *******************************/
                   1355: long *lvector(long nl,long nh)
                   1356: {
                   1357:   long *v;
                   1358:   v=(long *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(long)));
                   1359:   if (!v) nrerror("allocation failure in ivector");
                   1360:   return v-nl+NR_END;
                   1361: }
                   1362: 
                   1363: /******************free lvector **************************/
                   1364: void free_lvector(long *v, long nl, long nh)
                   1365: {
                   1366:   free((FREE_ARG)(v+nl-NR_END));
                   1367: }
                   1368: 
                   1369: /******************* imatrix *******************************/
                   1370: int **imatrix(long nrl, long nrh, long ncl, long nch) 
                   1371:      /* allocate a int matrix with subscript range m[nrl..nrh][ncl..nch] */ 
                   1372: { 
                   1373:   long i, nrow=nrh-nrl+1,ncol=nch-ncl+1; 
                   1374:   int **m; 
                   1375:   
                   1376:   /* allocate pointers to rows */ 
                   1377:   m=(int **) malloc((size_t)((nrow+NR_END)*sizeof(int*))); 
                   1378:   if (!m) nrerror("allocation failure 1 in matrix()"); 
                   1379:   m += NR_END; 
                   1380:   m -= nrl; 
                   1381:   
                   1382:   
                   1383:   /* allocate rows and set pointers to them */ 
                   1384:   m[nrl]=(int *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(int))); 
                   1385:   if (!m[nrl]) nrerror("allocation failure 2 in matrix()"); 
                   1386:   m[nrl] += NR_END; 
                   1387:   m[nrl] -= ncl; 
                   1388:   
                   1389:   for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol; 
                   1390:   
                   1391:   /* return pointer to array of pointers to rows */ 
                   1392:   return m; 
                   1393: } 
                   1394: 
                   1395: /****************** free_imatrix *************************/
                   1396: void free_imatrix(m,nrl,nrh,ncl,nch)
                   1397:       int **m;
                   1398:       long nch,ncl,nrh,nrl; 
                   1399:      /* free an int matrix allocated by imatrix() */ 
                   1400: { 
                   1401:   free((FREE_ARG) (m[nrl]+ncl-NR_END)); 
                   1402:   free((FREE_ARG) (m+nrl-NR_END)); 
                   1403: } 
                   1404: 
                   1405: /******************* matrix *******************************/
                   1406: double **matrix(long nrl, long nrh, long ncl, long nch)
                   1407: {
                   1408:   long i, nrow=nrh-nrl+1, ncol=nch-ncl+1;
                   1409:   double **m;
                   1410: 
                   1411:   m=(double **) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
                   1412:   if (!m) nrerror("allocation failure 1 in matrix()");
                   1413:   m += NR_END;
                   1414:   m -= nrl;
                   1415: 
                   1416:   m[nrl]=(double *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
                   1417:   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
                   1418:   m[nrl] += NR_END;
                   1419:   m[nrl] -= ncl;
                   1420: 
                   1421:   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
                   1422:   return m;
1.145     brouard  1423:   /* print *(*(m+1)+70) or print m[1][70]; print m+1 or print &(m[1]) or &(m[1][0])
                   1424: m[i] = address of ith row of the table. &(m[i]) is its value which is another adress
                   1425: that of m[i][0]. In order to get the value p m[i][0] but it is unitialized.
1.126     brouard  1426:    */
                   1427: }
                   1428: 
                   1429: /*************************free matrix ************************/
                   1430: void free_matrix(double **m, long nrl, long nrh, long ncl, long nch)
                   1431: {
                   1432:   free((FREE_ARG)(m[nrl]+ncl-NR_END));
                   1433:   free((FREE_ARG)(m+nrl-NR_END));
                   1434: }
                   1435: 
                   1436: /******************* ma3x *******************************/
                   1437: double ***ma3x(long nrl, long nrh, long ncl, long nch, long nll, long nlh)
                   1438: {
                   1439:   long i, j, nrow=nrh-nrl+1, ncol=nch-ncl+1, nlay=nlh-nll+1;
                   1440:   double ***m;
                   1441: 
                   1442:   m=(double ***) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
                   1443:   if (!m) nrerror("allocation failure 1 in matrix()");
                   1444:   m += NR_END;
                   1445:   m -= nrl;
                   1446: 
                   1447:   m[nrl]=(double **) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
                   1448:   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
                   1449:   m[nrl] += NR_END;
                   1450:   m[nrl] -= ncl;
                   1451: 
                   1452:   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
                   1453: 
                   1454:   m[nrl][ncl]=(double *) malloc((size_t)((nrow*ncol*nlay+NR_END)*sizeof(double)));
                   1455:   if (!m[nrl][ncl]) nrerror("allocation failure 3 in matrix()");
                   1456:   m[nrl][ncl] += NR_END;
                   1457:   m[nrl][ncl] -= nll;
                   1458:   for (j=ncl+1; j<=nch; j++) 
                   1459:     m[nrl][j]=m[nrl][j-1]+nlay;
                   1460:   
                   1461:   for (i=nrl+1; i<=nrh; i++) {
                   1462:     m[i][ncl]=m[i-1l][ncl]+ncol*nlay;
                   1463:     for (j=ncl+1; j<=nch; j++) 
                   1464:       m[i][j]=m[i][j-1]+nlay;
                   1465:   }
                   1466:   return m; 
                   1467:   /*  gdb: p *(m+1) <=> p m[1] and p (m+1) <=> p (m+1) <=> p &(m[1])
                   1468:            &(m[i][j][k]) <=> *((*(m+i) + j)+k)
                   1469:   */
                   1470: }
                   1471: 
                   1472: /*************************free ma3x ************************/
                   1473: void free_ma3x(double ***m, long nrl, long nrh, long ncl, long nch,long nll, long nlh)
                   1474: {
                   1475:   free((FREE_ARG)(m[nrl][ncl]+ nll-NR_END));
                   1476:   free((FREE_ARG)(m[nrl]+ncl-NR_END));
                   1477:   free((FREE_ARG)(m+nrl-NR_END));
                   1478: }
                   1479: 
                   1480: /*************** function subdirf ***********/
                   1481: char *subdirf(char fileres[])
                   1482: {
                   1483:   /* Caution optionfilefiname is hidden */
                   1484:   strcpy(tmpout,optionfilefiname);
                   1485:   strcat(tmpout,"/"); /* Add to the right */
                   1486:   strcat(tmpout,fileres);
                   1487:   return tmpout;
                   1488: }
                   1489: 
                   1490: /*************** function subdirf2 ***********/
                   1491: char *subdirf2(char fileres[], char *preop)
                   1492: {
                   1493:   
                   1494:   /* Caution optionfilefiname is hidden */
                   1495:   strcpy(tmpout,optionfilefiname);
                   1496:   strcat(tmpout,"/");
                   1497:   strcat(tmpout,preop);
                   1498:   strcat(tmpout,fileres);
                   1499:   return tmpout;
                   1500: }
                   1501: 
                   1502: /*************** function subdirf3 ***********/
                   1503: char *subdirf3(char fileres[], char *preop, char *preop2)
                   1504: {
                   1505:   
                   1506:   /* Caution optionfilefiname is hidden */
                   1507:   strcpy(tmpout,optionfilefiname);
                   1508:   strcat(tmpout,"/");
                   1509:   strcat(tmpout,preop);
                   1510:   strcat(tmpout,preop2);
                   1511:   strcat(tmpout,fileres);
                   1512:   return tmpout;
                   1513: }
1.213     brouard  1514:  
                   1515: /*************** function subdirfext ***********/
                   1516: char *subdirfext(char fileres[], char *preop, char *postop)
                   1517: {
                   1518:   
                   1519:   strcpy(tmpout,preop);
                   1520:   strcat(tmpout,fileres);
                   1521:   strcat(tmpout,postop);
                   1522:   return tmpout;
                   1523: }
1.126     brouard  1524: 
1.213     brouard  1525: /*************** function subdirfext3 ***********/
                   1526: char *subdirfext3(char fileres[], char *preop, char *postop)
                   1527: {
                   1528:   
                   1529:   /* Caution optionfilefiname is hidden */
                   1530:   strcpy(tmpout,optionfilefiname);
                   1531:   strcat(tmpout,"/");
                   1532:   strcat(tmpout,preop);
                   1533:   strcat(tmpout,fileres);
                   1534:   strcat(tmpout,postop);
                   1535:   return tmpout;
                   1536: }
                   1537:  
1.162     brouard  1538: char *asc_diff_time(long time_sec, char ascdiff[])
                   1539: {
                   1540:   long sec_left, days, hours, minutes;
                   1541:   days = (time_sec) / (60*60*24);
                   1542:   sec_left = (time_sec) % (60*60*24);
                   1543:   hours = (sec_left) / (60*60) ;
                   1544:   sec_left = (sec_left) %(60*60);
                   1545:   minutes = (sec_left) /60;
                   1546:   sec_left = (sec_left) % (60);
                   1547:   sprintf(ascdiff,"%ld day(s) %ld hour(s) %ld minute(s) %ld second(s)",days, hours, minutes, sec_left);  
                   1548:   return ascdiff;
                   1549: }
                   1550: 
1.126     brouard  1551: /***************** f1dim *************************/
                   1552: extern int ncom; 
                   1553: extern double *pcom,*xicom;
                   1554: extern double (*nrfunc)(double []); 
                   1555:  
                   1556: double f1dim(double x) 
                   1557: { 
                   1558:   int j; 
                   1559:   double f;
                   1560:   double *xt; 
                   1561:  
                   1562:   xt=vector(1,ncom); 
                   1563:   for (j=1;j<=ncom;j++) xt[j]=pcom[j]+x*xicom[j]; 
                   1564:   f=(*nrfunc)(xt); 
                   1565:   free_vector(xt,1,ncom); 
                   1566:   return f; 
                   1567: } 
                   1568: 
                   1569: /*****************brent *************************/
                   1570: double brent(double ax, double bx, double cx, double (*f)(double), double tol,         double *xmin) 
1.187     brouard  1571: {
                   1572:   /* Given a function f, and given a bracketing triplet of abscissas ax, bx, cx (such that bx is
                   1573:    * between ax and cx, and f(bx) is less than both f(ax) and f(cx) ), this routine isolates
                   1574:    * the minimum to a fractional precision of about tol using Brent’s method. The abscissa of
                   1575:    * the minimum is returned as xmin, and the minimum function value is returned as brent , the
                   1576:    * returned function value. 
                   1577:   */
1.126     brouard  1578:   int iter; 
                   1579:   double a,b,d,etemp;
1.159     brouard  1580:   double fu=0,fv,fw,fx;
1.164     brouard  1581:   double ftemp=0.;
1.126     brouard  1582:   double p,q,r,tol1,tol2,u,v,w,x,xm; 
                   1583:   double e=0.0; 
                   1584:  
                   1585:   a=(ax < cx ? ax : cx); 
                   1586:   b=(ax > cx ? ax : cx); 
                   1587:   x=w=v=bx; 
                   1588:   fw=fv=fx=(*f)(x); 
                   1589:   for (iter=1;iter<=ITMAX;iter++) { 
                   1590:     xm=0.5*(a+b); 
                   1591:     tol2=2.0*(tol1=tol*fabs(x)+ZEPS); 
                   1592:     /*         if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret)))*/
                   1593:     printf(".");fflush(stdout);
                   1594:     fprintf(ficlog,".");fflush(ficlog);
1.162     brouard  1595: #ifdef DEBUGBRENT
1.126     brouard  1596:     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);
                   1597:     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);
                   1598:     /*         if ((fabs(x-xm) <= (tol2-0.5*(b-a)))||(2.0*fabs(fu-ftemp) <= ftol*1.e-2*(fabs(fu)+fabs(ftemp)))) { */
                   1599: #endif
                   1600:     if (fabs(x-xm) <= (tol2-0.5*(b-a))){ 
                   1601:       *xmin=x; 
                   1602:       return fx; 
                   1603:     } 
                   1604:     ftemp=fu;
                   1605:     if (fabs(e) > tol1) { 
                   1606:       r=(x-w)*(fx-fv); 
                   1607:       q=(x-v)*(fx-fw); 
                   1608:       p=(x-v)*q-(x-w)*r; 
                   1609:       q=2.0*(q-r); 
                   1610:       if (q > 0.0) p = -p; 
                   1611:       q=fabs(q); 
                   1612:       etemp=e; 
                   1613:       e=d; 
                   1614:       if (fabs(p) >= fabs(0.5*q*etemp) || p <= q*(a-x) || p >= q*(b-x)) 
1.224     brouard  1615:                                d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
1.126     brouard  1616:       else { 
1.224     brouard  1617:                                d=p/q; 
                   1618:                                u=x+d; 
                   1619:                                if (u-a < tol2 || b-u < tol2) 
                   1620:                                        d=SIGN(tol1,xm-x); 
1.126     brouard  1621:       } 
                   1622:     } else { 
                   1623:       d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
                   1624:     } 
                   1625:     u=(fabs(d) >= tol1 ? x+d : x+SIGN(tol1,d)); 
                   1626:     fu=(*f)(u); 
                   1627:     if (fu <= fx) { 
                   1628:       if (u >= x) a=x; else b=x; 
                   1629:       SHFT(v,w,x,u) 
1.183     brouard  1630:       SHFT(fv,fw,fx,fu) 
                   1631:     } else { 
                   1632:       if (u < x) a=u; else b=u; 
                   1633:       if (fu <= fw || w == x) { 
1.224     brouard  1634:                                v=w; 
                   1635:                                w=u; 
                   1636:                                fv=fw; 
                   1637:                                fw=fu; 
1.183     brouard  1638:       } else if (fu <= fv || v == x || v == w) { 
1.224     brouard  1639:                                v=u; 
                   1640:                                fv=fu; 
1.183     brouard  1641:       } 
                   1642:     } 
1.126     brouard  1643:   } 
                   1644:   nrerror("Too many iterations in brent"); 
                   1645:   *xmin=x; 
                   1646:   return fx; 
                   1647: } 
                   1648: 
                   1649: /****************** mnbrak ***********************/
                   1650: 
                   1651: void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, double *fc, 
                   1652:            double (*func)(double)) 
1.183     brouard  1653: { /* Given a function func , and given distinct initial points ax and bx , this routine searches in
                   1654: the downhill direction (defined by the function as evaluated at the initial points) and returns
                   1655: new points ax , bx , cx that bracket a minimum of the function. Also returned are the function
                   1656: values at the three points, fa, fb , and fc such that fa > fb and fb < fc.
                   1657:    */
1.126     brouard  1658:   double ulim,u,r,q, dum;
                   1659:   double fu; 
1.187     brouard  1660: 
                   1661:   double scale=10.;
                   1662:   int iterscale=0;
                   1663: 
                   1664:   *fa=(*func)(*ax); /*  xta[j]=pcom[j]+(*ax)*xicom[j]; fa=f(xta[j])*/
                   1665:   *fb=(*func)(*bx); /*  xtb[j]=pcom[j]+(*bx)*xicom[j]; fb=f(xtb[j]) */
                   1666: 
                   1667: 
                   1668:   /* while(*fb != *fb){ /\* *ax should be ok, reducing distance to *ax *\/ */
                   1669:   /*   printf("Warning mnbrak *fb = %lf, *bx=%lf *ax=%lf *fa==%lf iter=%d\n",*fb, *bx, *ax, *fa, iterscale++); */
                   1670:   /*   *bx = *ax - (*ax - *bx)/scale; */
                   1671:   /*   *fb=(*func)(*bx);  /\*  xtb[j]=pcom[j]+(*bx)*xicom[j]; fb=f(xtb[j]) *\/ */
                   1672:   /* } */
                   1673: 
1.126     brouard  1674:   if (*fb > *fa) { 
                   1675:     SHFT(dum,*ax,*bx,dum) 
1.183     brouard  1676:     SHFT(dum,*fb,*fa,dum) 
                   1677:   } 
1.126     brouard  1678:   *cx=(*bx)+GOLD*(*bx-*ax); 
                   1679:   *fc=(*func)(*cx); 
1.183     brouard  1680: #ifdef DEBUG
1.224     brouard  1681:   printf("mnbrak0 a=%lf *fa=%lf, b=%lf *fb=%lf, c=%lf *fc=%lf\n",*ax,*fa,*bx,*fb,*cx, *fc);
                   1682:   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  1683: #endif
1.224     brouard  1684:   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  1685:     r=(*bx-*ax)*(*fb-*fc); 
1.224     brouard  1686:     q=(*bx-*cx)*(*fb-*fa); /* What if fa=inf */
1.126     brouard  1687:     u=(*bx)-((*bx-*cx)*q-(*bx-*ax)*r)/ 
1.183     brouard  1688:       (2.0*SIGN(FMAX(fabs(q-r),TINY),q-r)); /* Minimum abscissa of a parabolic estimated from (a,fa), (b,fb) and (c,fc). */
                   1689:     ulim=(*bx)+GLIMIT*(*cx-*bx); /* Maximum abscissa where function should be evaluated */
                   1690:     if ((*bx-u)*(u-*cx) > 0.0) { /* if u_p is between b and c */
1.126     brouard  1691:       fu=(*func)(u); 
1.163     brouard  1692: #ifdef DEBUG
                   1693:       /* f(x)=A(x-u)**2+f(u) */
                   1694:       double A, fparabu; 
                   1695:       A= (*fb - *fa)/(*bx-*ax)/(*bx+*ax-2*u);
                   1696:       fparabu= *fa - A*(*ax-u)*(*ax-u);
1.224     brouard  1697:       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);
                   1698:       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  1699:       /* And thus,it can be that fu > *fc even if fparabu < *fc */
                   1700:       /* mnbrak (*ax=7.666299858533, *fa=299039.693133272231), (*bx=8.595447774979, *fb=298976.598289369489),
                   1701:         (*cx=10.098840694817, *fc=298946.631474258087),  (*u=9.852501168332, fu=298948.773013752128, fparabu=298945.434711494134) */
                   1702:       /* In that case, there is no bracket in the output! Routine is wrong with many consequences.*/
1.163     brouard  1703: #endif 
1.184     brouard  1704: #ifdef MNBRAKORIGINAL
1.183     brouard  1705: #else
1.191     brouard  1706: /*       if (fu > *fc) { */
                   1707: /* #ifdef DEBUG */
                   1708: /*       printf("mnbrak4  fu > fc \n"); */
                   1709: /*       fprintf(ficlog, "mnbrak4 fu > fc\n"); */
                   1710: /* #endif */
                   1711: /*     /\* 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 *\\/  *\/ */
                   1712: /*     /\* SHFT(*fa,*fc,fu,*fc) /\\* (b, u, c) is a bracket while test fb > fc will be fu > fc  will exit *\\/ *\/ */
                   1713: /*     dum=u; /\* Shifting c and u *\/ */
                   1714: /*     u = *cx; */
                   1715: /*     *cx = dum; */
                   1716: /*     dum = fu; */
                   1717: /*     fu = *fc; */
                   1718: /*     *fc =dum; */
                   1719: /*       } else { /\* end *\/ */
                   1720: /* #ifdef DEBUG */
                   1721: /*       printf("mnbrak3  fu < fc \n"); */
                   1722: /*       fprintf(ficlog, "mnbrak3 fu < fc\n"); */
                   1723: /* #endif */
                   1724: /*     dum=u; /\* Shifting c and u *\/ */
                   1725: /*     u = *cx; */
                   1726: /*     *cx = dum; */
                   1727: /*     dum = fu; */
                   1728: /*     fu = *fc; */
                   1729: /*     *fc =dum; */
                   1730: /*       } */
1.224     brouard  1731: #ifdef DEBUGMNBRAK
                   1732:                 double A, fparabu; 
                   1733:      A= (*fb - *fa)/(*bx-*ax)/(*bx+*ax-2*u);
                   1734:      fparabu= *fa - A*(*ax-u)*(*ax-u);
                   1735:      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);
                   1736:      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  1737: #endif
1.191     brouard  1738:       dum=u; /* Shifting c and u */
                   1739:       u = *cx;
                   1740:       *cx = dum;
                   1741:       dum = fu;
                   1742:       fu = *fc;
                   1743:       *fc =dum;
1.183     brouard  1744: #endif
1.162     brouard  1745:     } else if ((*cx-u)*(u-ulim) > 0.0) { /* u is after c but before ulim */
1.183     brouard  1746: #ifdef DEBUG
1.224     brouard  1747:       printf("\nmnbrak2  u=%lf after c=%lf but before ulim\n",u,*cx);
                   1748:       fprintf(ficlog,"\nmnbrak2  u=%lf after c=%lf but before ulim\n",u,*cx);
1.183     brouard  1749: #endif
1.126     brouard  1750:       fu=(*func)(u); 
                   1751:       if (fu < *fc) { 
1.183     brouard  1752: #ifdef DEBUG
1.224     brouard  1753:                                printf("\nmnbrak2  u=%lf after c=%lf but before ulim=%lf AND fu=%lf < %lf=fc\n",u,*cx,ulim,fu, *fc);
                   1754:                          fprintf(ficlog,"\nmnbrak2  u=%lf after c=%lf but before ulim=%lf AND fu=%lf < %lf=fc\n",u,*cx,ulim,fu, *fc);
                   1755: #endif
                   1756:                          SHFT(*bx,*cx,u,*cx+GOLD*(*cx-*bx)) 
                   1757:                                SHFT(*fb,*fc,fu,(*func)(u)) 
                   1758: #ifdef DEBUG
                   1759:                                        printf("\nmnbrak2 shift GOLD c=%lf",*cx+GOLD*(*cx-*bx));
1.183     brouard  1760: #endif
                   1761:       } 
1.162     brouard  1762:     } else if ((u-ulim)*(ulim-*cx) >= 0.0) { /* u outside ulim (verifying that ulim is beyond c) */
1.183     brouard  1763: #ifdef DEBUG
1.224     brouard  1764:       printf("\nmnbrak2  u=%lf outside ulim=%lf (verifying that ulim is beyond c=%lf)\n",u,ulim,*cx);
                   1765:       fprintf(ficlog,"\nmnbrak2  u=%lf outside ulim=%lf (verifying that ulim is beyond c=%lf)\n",u,ulim,*cx);
1.183     brouard  1766: #endif
1.126     brouard  1767:       u=ulim; 
                   1768:       fu=(*func)(u); 
1.183     brouard  1769:     } else { /* u could be left to b (if r > q parabola has a maximum) */
                   1770: #ifdef DEBUG
1.224     brouard  1771:       printf("\nmnbrak2  u=%lf could be left to b=%lf (if r=%lf > q=%lf parabola has a maximum)\n",u,*bx,r,q);
                   1772:       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  1773: #endif
1.126     brouard  1774:       u=(*cx)+GOLD*(*cx-*bx); 
                   1775:       fu=(*func)(u); 
1.224     brouard  1776: #ifdef DEBUG
                   1777:       printf("\nmnbrak2 new u=%lf fu=%lf shifted gold left from c=%lf and b=%lf \n",u,fu,*cx,*bx);
                   1778:       fprintf(ficlog,"\nmnbrak2 new u=%lf fu=%lf shifted gold left from c=%lf and b=%lf \n",u,fu,*cx,*bx);
                   1779: #endif
1.183     brouard  1780:     } /* end tests */
1.126     brouard  1781:     SHFT(*ax,*bx,*cx,u) 
1.183     brouard  1782:     SHFT(*fa,*fb,*fc,fu) 
                   1783: #ifdef DEBUG
1.224     brouard  1784:       printf("\nmnbrak2 shift (*ax=%.12f, *fa=%.12lf), (*bx=%.12f, *fb=%.12lf), (*cx=%.12f, *fc=%.12lf)\n",*ax,*fa,*bx,*fb,*cx,*fc);
                   1785:       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  1786: #endif
                   1787:   } /* 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  1788: } 
                   1789: 
                   1790: /*************** linmin ************************/
1.162     brouard  1791: /* Given an n -dimensional point p[1..n] and an n -dimensional direction xi[1..n] , moves and
                   1792: resets p to where the function func(p) takes on a minimum along the direction xi from p ,
                   1793: and replaces xi by the actual vector displacement that p was moved. Also returns as fret
                   1794: the value of func at the returned location p . This is actually all accomplished by calling the
                   1795: routines mnbrak and brent .*/
1.126     brouard  1796: int ncom; 
                   1797: double *pcom,*xicom;
                   1798: double (*nrfunc)(double []); 
                   1799:  
1.224     brouard  1800: #ifdef LINMINORIGINAL
1.126     brouard  1801: void linmin(double p[], double xi[], int n, double *fret,double (*func)(double [])) 
1.224     brouard  1802: #else
                   1803: void linmin(double p[], double xi[], int n, double *fret,double (*func)(double []), int *flat) 
                   1804: #endif
1.126     brouard  1805: { 
                   1806:   double brent(double ax, double bx, double cx, 
                   1807:               double (*f)(double), double tol, double *xmin); 
                   1808:   double f1dim(double x); 
                   1809:   void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, 
                   1810:              double *fc, double (*func)(double)); 
                   1811:   int j; 
                   1812:   double xx,xmin,bx,ax; 
                   1813:   double fx,fb,fa;
1.187     brouard  1814: 
1.203     brouard  1815: #ifdef LINMINORIGINAL
                   1816: #else
                   1817:   double scale=10., axs, xxs; /* Scale added for infinity */
                   1818: #endif
                   1819:   
1.126     brouard  1820:   ncom=n; 
                   1821:   pcom=vector(1,n); 
                   1822:   xicom=vector(1,n); 
                   1823:   nrfunc=func; 
                   1824:   for (j=1;j<=n;j++) { 
                   1825:     pcom[j]=p[j]; 
1.202     brouard  1826:     xicom[j]=xi[j]; /* Former scale xi[j] of currrent direction i */
1.126     brouard  1827:   } 
1.187     brouard  1828: 
1.203     brouard  1829: #ifdef LINMINORIGINAL
                   1830:   xx=1.;
                   1831: #else
                   1832:   axs=0.0;
                   1833:   xxs=1.;
                   1834:   do{
                   1835:     xx= xxs;
                   1836: #endif
1.187     brouard  1837:     ax=0.;
                   1838:     mnbrak(&ax,&xx,&bx,&fa,&fx,&fb,f1dim);  /* Outputs: xtx[j]=pcom[j]+(*xx)*xicom[j]; fx=f(xtx[j]) */
                   1839:     /* brackets with inputs ax=0 and xx=1, but points, pcom=p, and directions values, xicom=xi, are sent via f1dim(x) */
                   1840:     /* 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))   */
                   1841:     /* Outputs: fa=f(p(j)) and fx=f(p(j) + xxs * xi(j) ) and f(bx)= f(p(j)+ bx* xi(j)) */
                   1842:     /* Given input ax=axs and xx=xxs, xx might be too far from ax to get a finite f(xx) */
                   1843:     /* Searches on line, outputs (ax, xx, bx) such that fx < min(fa and fb) */
                   1844:     /* 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  1845: #ifdef LINMINORIGINAL
                   1846: #else
                   1847:     if (fx != fx){
1.224     brouard  1848:                        xxs=xxs/scale; /* Trying a smaller xx, closer to initial ax=0 */
                   1849:                        printf("|");
                   1850:                        fprintf(ficlog,"|");
1.203     brouard  1851: #ifdef DEBUGLINMIN
1.224     brouard  1852:                        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  1853: #endif
                   1854:     }
1.224     brouard  1855:   }while(fx != fx && xxs > 1.e-5);
1.203     brouard  1856: #endif
                   1857:   
1.191     brouard  1858: #ifdef DEBUGLINMIN
                   1859:   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  1860:   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  1861: #endif
1.224     brouard  1862: #ifdef LINMINORIGINAL
                   1863: #else
                   1864:        if(fb == fx){ /* Flat function in the direction */
                   1865:                xmin=xx;
                   1866:     *flat=1;
                   1867:        }else{
                   1868:     *flat=0;
                   1869: #endif
                   1870:                /*Flat mnbrak2 shift (*ax=0.000000000000, *fa=51626.272983130431), (*bx=-1.618034000000, *fb=51590.149499362531), (*cx=-4.236068025156, *fc=51590.149499362531) */
1.187     brouard  1871:   *fret=brent(ax,xx,bx,f1dim,TOL,&xmin); /* Giving a bracketting triplet (ax, xx, bx), find a minimum, xmin, according to f1dim, *fret(xmin),*/
                   1872:   /* fa = f(p[j] + ax * xi[j]), fx = f(p[j] + xx * xi[j]), fb = f(p[j] + bx * xi[j]) */
                   1873:   /* fmin = f(p[j] + xmin * xi[j]) */
                   1874:   /* P+lambda n in that direction (lambdamin), with TOL between abscisses */
                   1875:   /* f1dim(xmin): for (j=1;j<=ncom;j++) xt[j]=pcom[j]+xmin*xicom[j]; */
1.126     brouard  1876: #ifdef DEBUG
1.224     brouard  1877:   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);
                   1878:   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);
                   1879: #endif
                   1880: #ifdef LINMINORIGINAL
                   1881: #else
                   1882:                        }
1.126     brouard  1883: #endif
1.191     brouard  1884: #ifdef DEBUGLINMIN
                   1885:   printf("linmin end ");
1.202     brouard  1886:   fprintf(ficlog,"linmin end ");
1.191     brouard  1887: #endif
1.126     brouard  1888:   for (j=1;j<=n;j++) { 
1.203     brouard  1889: #ifdef LINMINORIGINAL
                   1890:     xi[j] *= xmin; 
                   1891: #else
                   1892: #ifdef DEBUGLINMIN
                   1893:     if(xxs <1.0)
                   1894:       printf(" before xi[%d]=%12.8f", j,xi[j]);
                   1895: #endif
                   1896:     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) */
                   1897: #ifdef DEBUGLINMIN
                   1898:     if(xxs <1.0)
                   1899:       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 );
                   1900: #endif
                   1901: #endif
1.187     brouard  1902:     p[j] += xi[j]; /* Parameters values are updated accordingly */
1.126     brouard  1903:   } 
1.191     brouard  1904: #ifdef DEBUGLINMIN
1.203     brouard  1905:   printf("\n");
1.191     brouard  1906:   printf("Comparing last *frec(xmin=%12.8f)=%12.8f from Brent and frec(0.)=%12.8f \n", xmin, *fret, (*func)(p));
1.202     brouard  1907:   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  1908:   for (j=1;j<=n;j++) { 
1.202     brouard  1909:     printf(" xi[%d]= %14.10f p[%d]= %12.7f",j,xi[j],j,p[j]);
                   1910:     fprintf(ficlog," xi[%d]= %14.10f p[%d]= %12.7f",j,xi[j],j,p[j]);
                   1911:     if(j % ncovmodel == 0){
1.191     brouard  1912:       printf("\n");
1.202     brouard  1913:       fprintf(ficlog,"\n");
                   1914:     }
1.191     brouard  1915:   }
1.203     brouard  1916: #else
1.191     brouard  1917: #endif
1.126     brouard  1918:   free_vector(xicom,1,n); 
                   1919:   free_vector(pcom,1,n); 
                   1920: } 
                   1921: 
                   1922: 
                   1923: /*************** powell ************************/
1.162     brouard  1924: /*
                   1925: Minimization of a function func of n variables. Input consists of an initial starting point
                   1926: p[1..n] ; an initial matrix xi[1..n][1..n] , whose columns contain the initial set of di-
                   1927: rections (usually the n unit vectors); and ftol , the fractional tolerance in the function value
                   1928: such that failure to decrease by more than this amount on one iteration signals doneness. On
                   1929: output, p is set to the best point found, xi is the then-current direction set, fret is the returned
                   1930: function value at p , and iter is the number of iterations taken. The routine linmin is used.
                   1931:  */
1.224     brouard  1932: #ifdef LINMINORIGINAL
                   1933: #else
                   1934:        int *flatdir; /* Function is vanishing in that direction */
1.225     brouard  1935:        int flat=0, flatd=0; /* Function is vanishing in that direction */
1.224     brouard  1936: #endif
1.126     brouard  1937: void powell(double p[], double **xi, int n, double ftol, int *iter, double *fret, 
                   1938:            double (*func)(double [])) 
                   1939: { 
1.224     brouard  1940: #ifdef LINMINORIGINAL
                   1941:  void linmin(double p[], double xi[], int n, double *fret, 
1.126     brouard  1942:              double (*func)(double [])); 
1.224     brouard  1943: #else 
                   1944:  void linmin(double p[], double xi[], int n, double *fret, 
                   1945:                                                 double (*func)(double []),int *flat); 
                   1946: #endif
1.126     brouard  1947:   int i,ibig,j; 
                   1948:   double del,t,*pt,*ptt,*xit;
1.181     brouard  1949:   double directest;
1.126     brouard  1950:   double fp,fptt;
                   1951:   double *xits;
                   1952:   int niterf, itmp;
1.224     brouard  1953: #ifdef LINMINORIGINAL
                   1954: #else
                   1955: 
                   1956:   flatdir=ivector(1,n); 
                   1957:   for (j=1;j<=n;j++) flatdir[j]=0; 
                   1958: #endif
1.126     brouard  1959: 
                   1960:   pt=vector(1,n); 
                   1961:   ptt=vector(1,n); 
                   1962:   xit=vector(1,n); 
                   1963:   xits=vector(1,n); 
                   1964:   *fret=(*func)(p); 
                   1965:   for (j=1;j<=n;j++) pt[j]=p[j]; 
1.202     brouard  1966:   rcurr_time = time(NULL);  
1.126     brouard  1967:   for (*iter=1;;++(*iter)) { 
1.187     brouard  1968:     fp=(*fret); /* From former iteration or initial value */
1.126     brouard  1969:     ibig=0; 
                   1970:     del=0.0; 
1.157     brouard  1971:     rlast_time=rcurr_time;
                   1972:     /* (void) gettimeofday(&curr_time,&tzp); */
                   1973:     rcurr_time = time(NULL);  
                   1974:     curr_time = *localtime(&rcurr_time);
                   1975:     printf("\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret, rcurr_time-rlast_time, rcurr_time-rstart_time);fflush(stdout);
                   1976:     fprintf(ficlog,"\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret,rcurr_time-rlast_time, rcurr_time-rstart_time); fflush(ficlog);
                   1977: /*     fprintf(ficrespow,"%d %.12f %ld",*iter,*fret,curr_time.tm_sec-start_time.tm_sec); */
1.192     brouard  1978:     for (i=1;i<=n;i++) {
1.126     brouard  1979:       printf(" %d %.12f",i, p[i]);
                   1980:       fprintf(ficlog," %d %.12lf",i, p[i]);
                   1981:       fprintf(ficrespow," %.12lf", p[i]);
                   1982:     }
                   1983:     printf("\n");
                   1984:     fprintf(ficlog,"\n");
                   1985:     fprintf(ficrespow,"\n");fflush(ficrespow);
                   1986:     if(*iter <=3){
1.157     brouard  1987:       tml = *localtime(&rcurr_time);
                   1988:       strcpy(strcurr,asctime(&tml));
                   1989:       rforecast_time=rcurr_time; 
1.126     brouard  1990:       itmp = strlen(strcurr);
                   1991:       if(strcurr[itmp-1]=='\n')  /* Windows outputs with a new line */
1.224     brouard  1992:                                strcurr[itmp-1]='\0';
1.162     brouard  1993:       printf("\nConsidering the time needed for the last iteration #%d: %ld seconds,\n",*iter,rcurr_time-rlast_time);
1.157     brouard  1994:       fprintf(ficlog,"\nConsidering the time needed for this last iteration #%d: %ld seconds,\n",*iter,rcurr_time-rlast_time);
1.126     brouard  1995:       for(niterf=10;niterf<=30;niterf+=10){
1.224     brouard  1996:                                rforecast_time=rcurr_time+(niterf-*iter)*(rcurr_time-rlast_time);
                   1997:                                forecast_time = *localtime(&rforecast_time);
                   1998:                                strcpy(strfor,asctime(&forecast_time));
                   1999:                                itmp = strlen(strfor);
                   2000:                                if(strfor[itmp-1]=='\n')
                   2001:                                        strfor[itmp-1]='\0';
                   2002:                                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);
                   2003:                                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  2004:       }
                   2005:     }
1.187     brouard  2006:     for (i=1;i<=n;i++) { /* For each direction i */
                   2007:       for (j=1;j<=n;j++) xit[j]=xi[j][i]; /* Directions stored from previous iteration with previous scales */
1.126     brouard  2008:       fptt=(*fret); 
                   2009: #ifdef DEBUG
1.203     brouard  2010:       printf("fret=%lf, %lf, %lf \n", *fret, *fret, *fret);
                   2011:       fprintf(ficlog, "fret=%lf, %lf, %lf \n", *fret, *fret, *fret);
1.126     brouard  2012: #endif
1.203     brouard  2013:       printf("%d",i);fflush(stdout); /* print direction (parameter) i */
1.126     brouard  2014:       fprintf(ficlog,"%d",i);fflush(ficlog);
1.224     brouard  2015: #ifdef LINMINORIGINAL
1.188     brouard  2016:       linmin(p,xit,n,fret,func); /* Point p[n]. xit[n] has been loaded for direction i as input.*/
1.224     brouard  2017: #else
                   2018:       linmin(p,xit,n,fret,func,&flat); /* Point p[n]. xit[n] has been loaded for direction i as input.*/
                   2019:                        flatdir[i]=flat; /* Function is vanishing in that direction i */
                   2020: #endif
                   2021:                        /* Outputs are fret(new point p) p is updated and xit rescaled */
1.188     brouard  2022:       if (fabs(fptt-(*fret)) > del) { /* We are keeping the max gain on each of the n directions */
1.224     brouard  2023:                                /* because that direction will be replaced unless the gain del is small */
                   2024:                                /* in comparison with the 'probable' gain, mu^2, with the last average direction. */
                   2025:                                /* Unless the n directions are conjugate some gain in the determinant may be obtained */
                   2026:                                /* with the new direction. */
                   2027:                                del=fabs(fptt-(*fret)); 
                   2028:                                ibig=i; 
1.126     brouard  2029:       } 
                   2030: #ifdef DEBUG
                   2031:       printf("%d %.12e",i,(*fret));
                   2032:       fprintf(ficlog,"%d %.12e",i,(*fret));
                   2033:       for (j=1;j<=n;j++) {
1.224     brouard  2034:                                xits[j]=FMAX(fabs(p[j]-pt[j]),1.e-5);
                   2035:                                printf(" x(%d)=%.12e",j,xit[j]);
                   2036:                                fprintf(ficlog," x(%d)=%.12e",j,xit[j]);
1.126     brouard  2037:       }
                   2038:       for(j=1;j<=n;j++) {
1.225     brouard  2039:                                printf(" p(%d)=%.12e",j,p[j]);
                   2040:                                fprintf(ficlog," p(%d)=%.12e",j,p[j]);
1.126     brouard  2041:       }
                   2042:       printf("\n");
                   2043:       fprintf(ficlog,"\n");
                   2044: #endif
1.187     brouard  2045:     } /* end loop on each direction i */
                   2046:     /* Convergence test will use last linmin estimation (fret) and compare former iteration (fp) */ 
1.188     brouard  2047:     /* But p and xit have been updated at the end of linmin, *fret corresponds to new p, xit  */
1.187     brouard  2048:     /* New value of last point Pn is not computed, P(n-1) */
1.224     brouard  2049:       for(j=1;j<=n;j++) {
1.225     brouard  2050:                                if(flatdir[j] >0){
                   2051:                                        printf(" p(%d)=%lf flat=%d ",j,p[j],flatdir[j]);
                   2052:                                        fprintf(ficlog," p(%d)=%lf flat=%d ",j,p[j],flatdir[j]);
                   2053:                                }
                   2054:                                /* printf("\n"); */
                   2055:                                /* fprintf(ficlog,"\n"); */
                   2056:                        }
1.182     brouard  2057:     if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret))) { /* Did we reach enough precision? */
1.188     brouard  2058:       /* We could compare with a chi^2. chisquare(0.95,ddl=1)=3.84 */
                   2059:       /* By adding age*age in a model, the new -2LL should be lower and the difference follows a */
                   2060:       /* a chisquare statistics with 1 degree. To be significant at the 95% level, it should have */
                   2061:       /* decreased of more than 3.84  */
                   2062:       /* By adding age*age and V1*age the gain (-2LL) should be more than 5.99 (ddl=2) */
                   2063:       /* By using V1+V2+V3, the gain should be  7.82, compared with basic 1+age. */
                   2064:       /* By adding 10 parameters more the gain should be 18.31 */
1.224     brouard  2065:                        
1.188     brouard  2066:       /* Starting the program with initial values given by a former maximization will simply change */
                   2067:       /* the scales of the directions and the directions, because the are reset to canonical directions */
                   2068:       /* Thus the first calls to linmin will give new points and better maximizations until fp-(*fret) is */
                   2069:       /* under the tolerance value. If the tolerance is very small 1.e-9, it could last long.  */
1.126     brouard  2070: #ifdef DEBUG
                   2071:       int k[2],l;
                   2072:       k[0]=1;
                   2073:       k[1]=-1;
                   2074:       printf("Max: %.12e",(*func)(p));
                   2075:       fprintf(ficlog,"Max: %.12e",(*func)(p));
                   2076:       for (j=1;j<=n;j++) {
                   2077:        printf(" %.12e",p[j]);
                   2078:        fprintf(ficlog," %.12e",p[j]);
                   2079:       }
                   2080:       printf("\n");
                   2081:       fprintf(ficlog,"\n");
                   2082:       for(l=0;l<=1;l++) {
                   2083:        for (j=1;j<=n;j++) {
                   2084:          ptt[j]=p[j]+(p[j]-pt[j])*k[l];
                   2085:          printf("l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
                   2086:          fprintf(ficlog,"l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
                   2087:        }
                   2088:        printf("func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
                   2089:        fprintf(ficlog,"func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
                   2090:       }
                   2091: #endif
                   2092: 
1.224     brouard  2093: #ifdef LINMINORIGINAL
                   2094: #else
                   2095:       free_ivector(flatdir,1,n); 
                   2096: #endif
1.126     brouard  2097:       free_vector(xit,1,n); 
                   2098:       free_vector(xits,1,n); 
                   2099:       free_vector(ptt,1,n); 
                   2100:       free_vector(pt,1,n); 
                   2101:       return; 
1.192     brouard  2102:     } /* enough precision */ 
1.126     brouard  2103:     if (*iter == ITMAX) nrerror("powell exceeding maximum iterations."); 
1.181     brouard  2104:     for (j=1;j<=n;j++) { /* Computes the extrapolated point P_0 + 2 (P_n-P_0) */
1.126     brouard  2105:       ptt[j]=2.0*p[j]-pt[j]; 
                   2106:       xit[j]=p[j]-pt[j]; 
                   2107:       pt[j]=p[j]; 
                   2108:     } 
1.181     brouard  2109:     fptt=(*func)(ptt); /* f_3 */
1.224     brouard  2110: #ifdef NODIRECTIONCHANGEDUNTILNITER  /* No change in drections until some iterations are done */
                   2111:                if (*iter <=4) {
1.225     brouard  2112: #else
                   2113: #endif
1.224     brouard  2114: #ifdef POWELLNOF3INFF1TEST    /* skips test F3 <F1 */
1.192     brouard  2115: #else
1.161     brouard  2116:     if (fptt < fp) { /* If extrapolated point is better, decide if we keep that new direction or not */
1.192     brouard  2117: #endif
1.162     brouard  2118:       /* (x1 f1=fp), (x2 f2=*fret), (x3 f3=fptt), (xm fm) */
1.161     brouard  2119:       /* From x1 (P0) distance of x2 is at h and x3 is 2h */
1.162     brouard  2120:       /* Let f"(x2) be the 2nd derivative equal everywhere.  */
                   2121:       /* Then the parabolic through (x1,f1), (x2,f2) and (x3,f3) */
                   2122:       /* will reach at f3 = fm + h^2/2 f"m  ; f" = (f1 -2f2 +f3 ) / h**2 */
1.224     brouard  2123:       /* Conditional for using this new direction is that mu^2 = (f1-2f2+f3)^2 /2 < del or directest <0 */
                   2124:       /* also  lamda^2=(f1-f2)^2/mu² is a parasite solution of powell */
                   2125:       /* For powell, inclusion of this average direction is only if t(del)<0 or del inbetween mu^2 and lambda^2 */
1.161     brouard  2126:       /* t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)-del*SQR(fp-fptt); */
1.224     brouard  2127:       /*  Even if f3 <f1, directest can be negative and t >0 */
                   2128:       /* mu² and del² are equal when f3=f1 */
                   2129:                        /* f3 < f1 : mu² < del <= lambda^2 both test are equivalent */
                   2130:                        /* f3 < f1 : mu² < lambda^2 < del then directtest is negative and powell t is positive */
                   2131:                        /* f3 > f1 : lambda² < mu^2 < del then t is negative and directest >0  */
                   2132:                        /* f3 > f1 : lambda² < del < mu^2 then t is positive and directest >0  */
1.183     brouard  2133: #ifdef NRCORIGINAL
                   2134:       t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)- del*SQR(fp-fptt); /* Original Numerical Recipes in C*/
                   2135: #else
                   2136:       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  2137:       t= t- del*SQR(fp-fptt);
1.183     brouard  2138: #endif
1.202     brouard  2139:       directest = fp-2.0*(*fret)+fptt - 2.0 * del; /* If delta was big enough we change it for a new direction */
1.161     brouard  2140: #ifdef DEBUG
1.181     brouard  2141:       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);
                   2142:       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  2143:       printf("t3= %.12lf, t4= %.12lf, t3*= %.12lf, t4*= %.12lf\n",SQR(fp-(*fret)-del),SQR(fp-fptt),
                   2144:             (fp-(*fret)-del)*(fp-(*fret)-del),(fp-fptt)*(fp-fptt));
                   2145:       fprintf(ficlog,"t3= %.12lf, t4= %.12lf, t3*= %.12lf, t4*= %.12lf\n",SQR(fp-(*fret)-del),SQR(fp-fptt),
                   2146:             (fp-(*fret)-del)*(fp-(*fret)-del),(fp-fptt)*(fp-fptt));
                   2147:       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);
                   2148:       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);
                   2149: #endif
1.183     brouard  2150: #ifdef POWELLORIGINAL
                   2151:       if (t < 0.0) { /* Then we use it for new direction */
                   2152: #else
1.182     brouard  2153:       if (directest*t < 0.0) { /* Contradiction between both tests */
1.224     brouard  2154:                                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  2155:         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  2156:         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  2157:         fprintf(ficlog,"f1-2f2+f3= %.12lf, f1-f2-del= %.12lf, f1-f3= %.12lf\n",fp-2.0*(*fret)+fptt, fp -(*fret) -del, fp-fptt);
                   2158:       } 
1.181     brouard  2159:       if (directest < 0.0) { /* Then we use it for new direction */
                   2160: #endif
1.191     brouard  2161: #ifdef DEBUGLINMIN
1.224     brouard  2162:                                printf("Before linmin in direction P%d-P0\n",n);
                   2163:                                for (j=1;j<=n;j++) {
                   2164:                                        printf(" Before xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   2165:                                        fprintf(ficlog," Before xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   2166:                                        if(j % ncovmodel == 0){
                   2167:                                                printf("\n");
                   2168:                                                fprintf(ficlog,"\n");
                   2169:                                        }
                   2170:                                }
                   2171: #endif
                   2172: #ifdef LINMINORIGINAL
                   2173:                                linmin(p,xit,n,fret,func); /* computes minimum on the extrapolated direction: changes p and rescales xit.*/
                   2174: #else
                   2175:                                linmin(p,xit,n,fret,func,&flat); /* computes minimum on the extrapolated direction: changes p and rescales xit.*/
                   2176:                                flatdir[i]=flat; /* Function is vanishing in that direction i */
1.191     brouard  2177: #endif
1.224     brouard  2178: 
1.191     brouard  2179: #ifdef DEBUGLINMIN
1.224     brouard  2180:                                for (j=1;j<=n;j++) { 
                   2181:                                        printf("After xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   2182:                                        fprintf(ficlog,"After xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   2183:                                        if(j % ncovmodel == 0){
                   2184:                                                printf("\n");
                   2185:                                                fprintf(ficlog,"\n");
                   2186:                                        }
                   2187:                                }
                   2188: #endif
                   2189:                                for (j=1;j<=n;j++) { 
                   2190:                                        xi[j][ibig]=xi[j][n]; /* Replace direction with biggest decrease by last direction n */
                   2191:                                        xi[j][n]=xit[j];      /* and this nth direction by the by the average p_0 p_n */
                   2192:                                }
                   2193: #ifdef LINMINORIGINAL
                   2194: #else
1.225     brouard  2195:                                for (j=1, flatd=0;j<=n;j++) {
                   2196:                                        if(flatdir[j]>0)
                   2197:                                                flatd++;
                   2198:                                }
                   2199:                                if(flatd >0){
                   2200:                                        printf("%d flat directions\n",flatd);
                   2201:                                        fprintf(ficlog,"%d flat directions\n",flatd);
                   2202:                                        for (j=1;j<=n;j++) { 
                   2203:                                                if(flatdir[j]>0){
                   2204:                                                        printf("%d ",j);
                   2205:                                                        fprintf(ficlog,"%d ",j);
                   2206:                                                }
                   2207:                                        }
                   2208:                                        printf("\n");
                   2209:                                        fprintf(ficlog,"\n");
                   2210:                                }
1.191     brouard  2211: #endif
1.224     brouard  2212:                                printf("Gaining to use new average direction of P0 P%d instead of biggest increase direction %d :\n",n,ibig);
                   2213:                                fprintf(ficlog,"Gaining to use new average direction of P0 P%d instead of biggest increase direction %d :\n",n,ibig);
                   2214:                                
1.126     brouard  2215: #ifdef DEBUG
1.224     brouard  2216:                                printf("Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
                   2217:                                fprintf(ficlog,"Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
                   2218:                                for(j=1;j<=n;j++){
                   2219:                                        printf(" %lf",xit[j]);
                   2220:                                        fprintf(ficlog," %lf",xit[j]);
                   2221:                                }
                   2222:                                printf("\n");
                   2223:                                fprintf(ficlog,"\n");
1.126     brouard  2224: #endif
1.192     brouard  2225:       } /* end of t or directest negative */
1.224     brouard  2226: #ifdef POWELLNOF3INFF1TEST
1.192     brouard  2227: #else
1.162     brouard  2228:     } /* end if (fptt < fp)  */
1.192     brouard  2229: #endif
1.225     brouard  2230: #ifdef NODIRECTIONCHANGEDUNTILNITER  /* No change in drections until some iterations are done */
1.224     brouard  2231:                } /*NODIRECTIONCHANGEDUNTILNITER  No change in drections until some iterations are done */
1.225     brouard  2232: #else
1.224     brouard  2233: #endif
1.192     brouard  2234:   } /* loop iteration */ 
1.126     brouard  2235: } 
                   2236: 
                   2237: /**** Prevalence limit (stable or period prevalence)  ****************/
                   2238: 
1.203     brouard  2239: double **prevalim(double **prlim, int nlstate, double x[], double age, double **oldm, double **savm, double ftolpl, int *ncvyear, int ij)
1.126     brouard  2240: {
1.218     brouard  2241:   /* Computes the prevalence limit in each live state at age x and for covariate ij by left multiplying the unit
1.203     brouard  2242:      matrix by transitions matrix until convergence is reached with precision ftolpl */
1.206     brouard  2243:   /* Wx= Wx-1 Px-1= Wx-2 Px-2 Px-1  = Wx-n Px-n ... Px-2 Px-1 I */
                   2244:   /* Wx is row vector: population in state 1, population in state 2, population dead */
                   2245:   /* or prevalence in state 1, prevalence in state 2, 0 */
                   2246:   /* newm is the matrix after multiplications, its rows are identical at a factor */
                   2247:   /* Initial matrix pimij */
                   2248:   /* {0.85204250825084937, 0.13044499163996345, 0.017512500109187184, */
                   2249:   /* 0.090851990222114765, 0.88271245433047185, 0.026435555447413338, */
                   2250:   /*  0,                   0                  , 1} */
                   2251:   /*
                   2252:    * and after some iteration: */
                   2253:   /* {0.45504275246439968, 0.42731458730878791, 0.11764266022681241, */
                   2254:   /*  0.45201005341706885, 0.42865420071559901, 0.11933574586733192, */
                   2255:   /*  0,                   0                  , 1} */
                   2256:   /* And prevalence by suppressing the deaths are close to identical rows in prlim: */
                   2257:   /* {0.51571254859325999, 0.4842874514067399, */
                   2258:   /*  0.51326036147820708, 0.48673963852179264} */
                   2259:   /* If we start from prlim again, prlim tends to a constant matrix */
                   2260: 
1.126     brouard  2261:   int i, ii,j,k;
1.209     brouard  2262:   double *min, *max, *meandiff, maxmax,sumnew=0.;
1.145     brouard  2263:   /* double **matprod2(); */ /* test */
1.218     brouard  2264:   double **out, cov[NCOVMAX+1], **pmij(); /* **pmmij is a global variable feeded with oldms etc */
1.126     brouard  2265:   double **newm;
1.209     brouard  2266:   double agefin, delaymax=200. ; /* 100 Max number of years to converge */
1.203     brouard  2267:   int ncvloop=0;
1.169     brouard  2268:   
1.209     brouard  2269:   min=vector(1,nlstate);
                   2270:   max=vector(1,nlstate);
                   2271:   meandiff=vector(1,nlstate);
                   2272: 
1.218     brouard  2273:        /* Starting with matrix unity */
1.126     brouard  2274:   for (ii=1;ii<=nlstate+ndeath;ii++)
                   2275:     for (j=1;j<=nlstate+ndeath;j++){
                   2276:       oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2277:     }
1.169     brouard  2278:   
                   2279:   cov[1]=1.;
                   2280:   
                   2281:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
1.202     brouard  2282:   /* Start at agefin= age, computes the matrix of passage and loops decreasing agefin until convergence is reached */
1.126     brouard  2283:   for(agefin=age-stepm/YEARM; agefin>=age-delaymax; agefin=agefin-stepm/YEARM){
1.202     brouard  2284:     ncvloop++;
1.126     brouard  2285:     newm=savm;
                   2286:     /* Covariates have to be included here again */
1.138     brouard  2287:     cov[2]=agefin;
1.187     brouard  2288:     if(nagesqr==1)
                   2289:       cov[3]= agefin*agefin;;
1.138     brouard  2290:     for (k=1; k<=cptcovn;k++) {
1.200     brouard  2291:       /* cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
1.218     brouard  2292:                        /* Here comes the value of the covariate 'ij' */
1.200     brouard  2293:       cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)];
1.198     brouard  2294:       /* 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  2295:     }
1.186     brouard  2296:     /*wrong? for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
1.200     brouard  2297:     /* for (k=1; k<=cptcovage;k++) cov[2+nagesqr+Tage[k]]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]*cov[2]; */
                   2298:     for (k=1; k<=cptcovage;k++) cov[2+nagesqr+Tage[k]]=nbcode[Tvar[k]][codtabm(ij,k)]*cov[2];
1.186     brouard  2299:     for (k=1; k<=cptcovprod;k++) /* Useless */
1.200     brouard  2300:       /* cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,Tvard[k][1])] * nbcode[Tvard[k][2]][codtabm(ij,Tvard[k][2])]; */
                   2301:       cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * nbcode[Tvard[k][2]][codtabm(ij,k)];
1.138     brouard  2302:     
                   2303:     /*printf("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/
                   2304:     /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/
                   2305:     /*printf("ij=%d cov[3]=%lf \n",ij, cov[3]);*/
1.145     brouard  2306:     /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
                   2307:     /* out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /\* Bug Valgrind *\/ */
1.218     brouard  2308:                /* age and covariate values of ij are in 'cov' */
1.142     brouard  2309:     out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /* Bug Valgrind */
1.138     brouard  2310:     
1.126     brouard  2311:     savm=oldm;
                   2312:     oldm=newm;
1.209     brouard  2313: 
                   2314:     for(j=1; j<=nlstate; j++){
                   2315:       max[j]=0.;
                   2316:       min[j]=1.;
                   2317:     }
                   2318:     for(i=1;i<=nlstate;i++){
                   2319:       sumnew=0;
                   2320:       for(k=1; k<=ndeath; k++) sumnew+=newm[i][nlstate+k];
                   2321:       for(j=1; j<=nlstate; j++){ 
                   2322:        prlim[i][j]= newm[i][j]/(1-sumnew);
                   2323:        max[j]=FMAX(max[j],prlim[i][j]);
                   2324:        min[j]=FMIN(min[j],prlim[i][j]);
                   2325:       }
                   2326:     }
                   2327: 
1.126     brouard  2328:     maxmax=0.;
1.209     brouard  2329:     for(j=1; j<=nlstate; j++){
                   2330:       meandiff[j]=(max[j]-min[j])/(max[j]+min[j])*2.; /* mean difference for each column */
                   2331:       maxmax=FMAX(maxmax,meandiff[j]);
                   2332:       /* 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  2333:     } /* j loop */
1.203     brouard  2334:     *ncvyear= (int)age- (int)agefin;
1.208     brouard  2335:     /* 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  2336:     if(maxmax < ftolpl){
1.209     brouard  2337:       /* printf("maxmax=%lf ncvloop=%ld, age=%d, agefin=%d ncvyear=%d \n", maxmax, ncvloop, (int)age, (int)agefin, *ncvyear); */
                   2338:       free_vector(min,1,nlstate);
                   2339:       free_vector(max,1,nlstate);
                   2340:       free_vector(meandiff,1,nlstate);
1.126     brouard  2341:       return prlim;
                   2342:     }
1.169     brouard  2343:   } /* age loop */
1.208     brouard  2344:     /* After some age loop it doesn't converge */
1.209     brouard  2345:   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  2346: 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  2347:   /* 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); */
                   2348:   free_vector(min,1,nlstate);
                   2349:   free_vector(max,1,nlstate);
                   2350:   free_vector(meandiff,1,nlstate);
1.208     brouard  2351:   
1.169     brouard  2352:   return prlim; /* should not reach here */
1.126     brouard  2353: }
                   2354: 
1.217     brouard  2355: 
                   2356:  /**** Back Prevalence limit (stable or period prevalence)  ****************/
                   2357: 
1.218     brouard  2358:  /* 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) */
                   2359:  /* 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) */
                   2360:  double **bprevalim(double **bprlim, double ***prevacurrent, int nlstate, double x[], double age, double ftolpl, int *ncvyear, int ij)
1.217     brouard  2361: {
1.218     brouard  2362:   /* Computes the prevalence limit in each live state at age x and covariate ij by left multiplying the unit
1.217     brouard  2363:      matrix by transitions matrix until convergence is reached with precision ftolpl */
                   2364:   /* Wx= Wx-1 Px-1= Wx-2 Px-2 Px-1  = Wx-n Px-n ... Px-2 Px-1 I */
                   2365:   /* Wx is row vector: population in state 1, population in state 2, population dead */
                   2366:   /* or prevalence in state 1, prevalence in state 2, 0 */
                   2367:   /* newm is the matrix after multiplications, its rows are identical at a factor */
                   2368:   /* Initial matrix pimij */
                   2369:   /* {0.85204250825084937, 0.13044499163996345, 0.017512500109187184, */
                   2370:   /* 0.090851990222114765, 0.88271245433047185, 0.026435555447413338, */
                   2371:   /*  0,                   0                  , 1} */
                   2372:   /*
                   2373:    * and after some iteration: */
                   2374:   /* {0.45504275246439968, 0.42731458730878791, 0.11764266022681241, */
                   2375:   /*  0.45201005341706885, 0.42865420071559901, 0.11933574586733192, */
                   2376:   /*  0,                   0                  , 1} */
                   2377:   /* And prevalence by suppressing the deaths are close to identical rows in prlim: */
                   2378:   /* {0.51571254859325999, 0.4842874514067399, */
                   2379:   /*  0.51326036147820708, 0.48673963852179264} */
                   2380:   /* If we start from prlim again, prlim tends to a constant matrix */
                   2381: 
                   2382:   int i, ii,j,k;
                   2383:   double *min, *max, *meandiff, maxmax,sumnew=0.;
                   2384:   /* double **matprod2(); */ /* test */
                   2385:   double **out, cov[NCOVMAX+1], **bmij();
                   2386:   double **newm;
1.218     brouard  2387:   double        **dnewm, **doldm, **dsavm;  /* for use */
                   2388:   double        **oldm, **savm;  /* for use */
                   2389: 
1.217     brouard  2390:   double agefin, delaymax=200. ; /* 100 Max number of years to converge */
                   2391:   int ncvloop=0;
                   2392:   
                   2393:   min=vector(1,nlstate);
                   2394:   max=vector(1,nlstate);
                   2395:   meandiff=vector(1,nlstate);
                   2396: 
1.218     brouard  2397:        dnewm=ddnewms; doldm=ddoldms; dsavm=ddsavms;
                   2398:        oldm=oldms; savm=savms;
                   2399: 
                   2400:        /* Starting with matrix unity */
                   2401:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   2402:                for (j=1;j<=nlstate+ndeath;j++){
1.217     brouard  2403:       oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2404:     }
                   2405:   
                   2406:   cov[1]=1.;
                   2407:   
                   2408:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
                   2409:   /* Start at agefin= age, computes the matrix of passage and loops decreasing agefin until convergence is reached */
1.218     brouard  2410:   /* for(agefin=age+stepm/YEARM; agefin<=age+delaymax; agefin=agefin+stepm/YEARM){ /\* A changer en age *\/ */
                   2411:   for(agefin=age; agefin<AGESUP; agefin=agefin+stepm/YEARM){ /* A changer en age */
1.217     brouard  2412:     ncvloop++;
1.218     brouard  2413:     newm=savm; /* oldm should be kept from previous iteration or unity at start */
                   2414:                /* newm points to the allocated table savm passed by the function it can be written, savm could be reallocated */
1.217     brouard  2415:     /* Covariates have to be included here again */
                   2416:     cov[2]=agefin;
                   2417:     if(nagesqr==1)
                   2418:       cov[3]= agefin*agefin;;
                   2419:     for (k=1; k<=cptcovn;k++) {
                   2420:       /* cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
                   2421:       cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)];
                   2422:       /* 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])]); */
                   2423:     }
                   2424:     /*wrong? for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
                   2425:     /* for (k=1; k<=cptcovage;k++) cov[2+nagesqr+Tage[k]]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]*cov[2]; */
                   2426:     for (k=1; k<=cptcovage;k++) cov[2+nagesqr+Tage[k]]=nbcode[Tvar[k]][codtabm(ij,k)]*cov[2];
                   2427:     for (k=1; k<=cptcovprod;k++) /* Useless */
                   2428:       /* cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,Tvard[k][1])] * nbcode[Tvard[k][2]][codtabm(ij,Tvard[k][2])]; */
                   2429:       cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * nbcode[Tvard[k][2]][codtabm(ij,k)];
                   2430:     
                   2431:     /*printf("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/
                   2432:     /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/
                   2433:     /*printf("ij=%d cov[3]=%lf \n",ij, cov[3]);*/
                   2434:     /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
                   2435:     /* out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /\* Bug Valgrind *\/ */
1.218     brouard  2436:                /* ij should be linked to the correct index of cov */
                   2437:                /* age and covariate values ij are in 'cov', but we need to pass
                   2438:                 * ij for the observed prevalence at age and status and covariate
                   2439:                 * number:  prevacurrent[(int)agefin][ii][ij]
                   2440:                 */
                   2441:     /* 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 *\/ */
                   2442:     /* 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 *\/ */
                   2443:     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  2444:     savm=oldm;
                   2445:     oldm=newm;
                   2446:     for(j=1; j<=nlstate; j++){
                   2447:       max[j]=0.;
                   2448:       min[j]=1.;
                   2449:     }
                   2450:     for(j=1; j<=nlstate; j++){ 
                   2451:       for(i=1;i<=nlstate;i++){
1.218     brouard  2452:                                /* bprlim[i][j]= newm[i][j]/(1-sumnew); */
                   2453:                                bprlim[i][j]= newm[i][j];
                   2454:                                max[i]=FMAX(max[i],bprlim[i][j]); /* Max in line */
                   2455:                                min[i]=FMIN(min[i],bprlim[i][j]);
1.217     brouard  2456:       }
                   2457:     }
1.218     brouard  2458:                
1.217     brouard  2459:     maxmax=0.;
                   2460:     for(i=1; i<=nlstate; i++){
                   2461:       meandiff[i]=(max[i]-min[i])/(max[i]+min[i])*2.; /* mean difference for each column */
                   2462:       maxmax=FMAX(maxmax,meandiff[i]);
                   2463:       /* 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); */
                   2464:     } /* j loop */
                   2465:     *ncvyear= -( (int)age- (int)agefin);
1.218     brouard  2466:     /* printf("Back maxmax=%lf ncvloop=%d, age=%d, agefin=%d ncvyear=%d \n", maxmax, ncvloop, (int)age, (int)agefin, *ncvyear);*/
1.217     brouard  2467:     if(maxmax < ftolpl){
1.220     brouard  2468:       /* printf("OK Back maxmax=%lf ncvloop=%d, age=%d, agefin=%d ncvyear=%d \n", maxmax, ncvloop, (int)age, (int)agefin, *ncvyear); */
1.217     brouard  2469:       free_vector(min,1,nlstate);
                   2470:       free_vector(max,1,nlstate);
                   2471:       free_vector(meandiff,1,nlstate);
                   2472:       return bprlim;
                   2473:     }
                   2474:   } /* age loop */
                   2475:     /* After some age loop it doesn't converge */
                   2476:   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\
                   2477: 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);
                   2478:   /* 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); */
                   2479:   free_vector(min,1,nlstate);
                   2480:   free_vector(max,1,nlstate);
                   2481:   free_vector(meandiff,1,nlstate);
                   2482:   
                   2483:   return bprlim; /* should not reach here */
                   2484: }
                   2485: 
1.126     brouard  2486: /*************** transition probabilities ***************/ 
                   2487: 
                   2488: double **pmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )
                   2489: {
1.138     brouard  2490:   /* According to parameters values stored in x and the covariate's values stored in cov,
                   2491:      computes the probability to be observed in state j being in state i by appying the
                   2492:      model to the ncovmodel covariates (including constant and age).
                   2493:      lnpijopii=ln(pij/pii)= aij+bij*age+cij*v1+dij*v2+... = sum_nc=1^ncovmodel xij(nc)*cov[nc]
                   2494:      and, according on how parameters are entered, the position of the coefficient xij(nc) of the
                   2495:      ncth covariate in the global vector x is given by the formula:
                   2496:      j<i nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel
                   2497:      j>=i nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel
                   2498:      Computes ln(pij/pii) (lnpijopii), deduces pij/pii by exponentiation,
                   2499:      sums on j different of i to get 1-pii/pii, deduces pii, and then all pij.
                   2500:      Outputs ps[i][j] the probability to be observed in j being in j according to
                   2501:      the values of the covariates cov[nc] and corresponding parameter values x[nc+shiftij]
                   2502:   */
                   2503:   double s1, lnpijopii;
1.126     brouard  2504:   /*double t34;*/
1.164     brouard  2505:   int i,j, nc, ii, jj;
1.126     brouard  2506: 
1.223     brouard  2507:   for(i=1; i<= nlstate; i++){
                   2508:     for(j=1; j<i;j++){
                   2509:       for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
                   2510:        /*lnpijopii += param[i][j][nc]*cov[nc];*/
                   2511:        lnpijopii += x[nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel]*cov[nc];
                   2512:        /*       printf("Int j<i s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
                   2513:       }
                   2514:       ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
                   2515:       /*       printf("s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
                   2516:     }
                   2517:     for(j=i+1; j<=nlstate+ndeath;j++){
                   2518:       for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
                   2519:        /*lnpijopii += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];*/
                   2520:        lnpijopii += x[nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel]*cov[nc];
                   2521:        /*        printf("Int j>i s1=%.17e, lnpijopii=%.17e %lx %lx\n",s1,lnpijopii,s1,lnpijopii); */
                   2522:       }
                   2523:       ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
                   2524:     }
                   2525:   }
1.218     brouard  2526:   
1.223     brouard  2527:   for(i=1; i<= nlstate; i++){
                   2528:     s1=0;
                   2529:     for(j=1; j<i; j++){
                   2530:       s1+=exp(ps[i][j]); /* In fact sums pij/pii */
                   2531:       /*printf("debug1 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
                   2532:     }
                   2533:     for(j=i+1; j<=nlstate+ndeath; j++){
                   2534:       s1+=exp(ps[i][j]); /* In fact sums pij/pii */
                   2535:       /*printf("debug2 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
                   2536:     }
                   2537:     /* s1= sum_{j<>i} pij/pii=(1-pii)/pii and thus pii is known from s1 */
                   2538:     ps[i][i]=1./(s1+1.);
                   2539:     /* Computing other pijs */
                   2540:     for(j=1; j<i; j++)
                   2541:       ps[i][j]= exp(ps[i][j])*ps[i][i];
                   2542:     for(j=i+1; j<=nlstate+ndeath; j++)
                   2543:       ps[i][j]= exp(ps[i][j])*ps[i][i];
                   2544:     /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */
                   2545:   } /* end i */
1.218     brouard  2546:   
1.223     brouard  2547:   for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){
                   2548:     for(jj=1; jj<= nlstate+ndeath; jj++){
                   2549:       ps[ii][jj]=0;
                   2550:       ps[ii][ii]=1;
                   2551:     }
                   2552:   }
1.218     brouard  2553:   
                   2554:   
1.223     brouard  2555:   /* for(ii=1; ii<= nlstate+ndeath; ii++){ */
                   2556:   /*   for(jj=1; jj<= nlstate+ndeath; jj++){ */
                   2557:   /*   printf(" pmij  ps[%d][%d]=%lf ",ii,jj,ps[ii][jj]); */
                   2558:   /*   } */
                   2559:   /*   printf("\n "); */
                   2560:   /* } */
                   2561:   /* printf("\n ");printf("%lf ",cov[2]);*/
                   2562:   /*
                   2563:     for(i=1; i<= npar; i++) printf("%f ",x[i]);
1.218     brouard  2564:                goto end;*/
1.223     brouard  2565:   return ps;
1.126     brouard  2566: }
                   2567: 
1.218     brouard  2568: /*************** backward transition probabilities ***************/ 
                   2569: 
                   2570:  /* 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 ) */
                   2571: /* double **bmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate,  double ***prevacurrent, double ***dnewm, double **doldm, double **dsavm, int ij ) */
                   2572:  double **bmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate,  double ***prevacurrent, int ij )
                   2573: {
1.222     brouard  2574:   /* Computes the backward probability at age agefin and covariate ij
                   2575:    * and returns in **ps as well as **bmij.
                   2576:    */
1.218     brouard  2577:   int i, ii, j,k;
1.222     brouard  2578:   
                   2579:   double **out, **pmij();
                   2580:   double sumnew=0.;
1.218     brouard  2581:   double agefin;
1.222     brouard  2582:   
                   2583:   double **dnewm, **dsavm, **doldm;
                   2584:   double **bbmij;
                   2585:   
1.218     brouard  2586:   doldm=ddoldms; /* global pointers */
1.222     brouard  2587:   dnewm=ddnewms;
                   2588:   dsavm=ddsavms;
                   2589:   
                   2590:   agefin=cov[2];
                   2591:   /* bmij *//* age is cov[2], ij is included in cov, but we need for
                   2592:      the observed prevalence (with this covariate ij) */
                   2593:   dsavm=pmij(pmmij,cov,ncovmodel,x,nlstate);
                   2594:   /* We do have the matrix Px in savm  and we need pij */
                   2595:   for (j=1;j<=nlstate+ndeath;j++){
                   2596:     sumnew=0.; /* w1 p11 + w2 p21 only on live states */
                   2597:     for (ii=1;ii<=nlstate;ii++){
                   2598:       sumnew+=dsavm[ii][j]*prevacurrent[(int)agefin][ii][ij];
                   2599:     } /* sumnew is (N11+N21)/N..= N.1/N.. = sum on i of w_i pij */
                   2600:     for (ii=1;ii<=nlstate+ndeath;ii++){
                   2601:       if(sumnew >= 1.e-10){
                   2602:        /* if(agefin >= agemaxpar && agefin <= agemaxpar+stepm/YEARM){ */
                   2603:        /*      doldm[ii][j]=(ii==j ? 1./sumnew : 0.0); */
                   2604:        /* }else if(agefin >= agemaxpar+stepm/YEARM){ */
                   2605:        /*      doldm[ii][j]=(ii==j ? 1./sumnew : 0.0); */
                   2606:        /* }else */
                   2607:        doldm[ii][j]=(ii==j ? 1./sumnew : 0.0);
                   2608:       }else{
                   2609:        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);
                   2610:       }
                   2611:     } /*End ii */
                   2612:   } /* End j, At the end doldm is diag[1/(w_1p1i+w_2 p2i)] */
                   2613:   /* left Product of this diag matrix by dsavm=Px (newm=dsavm*doldm) */
                   2614:   bbmij=matprod2(dnewm, dsavm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, doldm); /* Bug Valgrind */
                   2615:   /* dsavm=doldm; /\* dsavm is now diag [1/(w_1p1i+w_2 p2i)] but can be overwritten*\/ */
                   2616:   /* doldm=dnewm; /\* doldm is now Px * diag [1/(w_1p1i+w_2 p2i)] *\/ */
                   2617:   /* dnewm=dsavm; /\* doldm is now Px * diag [1/(w_1p1i+w_2 p2i)] *\/ */
                   2618:   /* left Product of this matrix by diag matrix of prevalences (savm) */
                   2619:   for (j=1;j<=nlstate+ndeath;j++){
                   2620:     for (ii=1;ii<=nlstate+ndeath;ii++){
                   2621:       dsavm[ii][j]=(ii==j ? prevacurrent[(int)agefin][ii][ij] : 0.0);
                   2622:     }
                   2623:   } /* End j, At the end oldm is diag[1/(w_1p1i+w_2 p2i)] */
                   2624:   ps=matprod2(doldm, dsavm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, dnewm); /* Bug Valgrind */
                   2625:   /* newm or out is now diag[w_i] * Px * diag [1/(w_1p1i+w_2 p2i)] */
                   2626:   /* end bmij */
                   2627:   return ps; 
1.218     brouard  2628: }
1.217     brouard  2629: /*************** transition probabilities ***************/ 
                   2630: 
1.218     brouard  2631: double **bpmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )
1.217     brouard  2632: {
                   2633:   /* According to parameters values stored in x and the covariate's values stored in cov,
                   2634:      computes the probability to be observed in state j being in state i by appying the
                   2635:      model to the ncovmodel covariates (including constant and age).
                   2636:      lnpijopii=ln(pij/pii)= aij+bij*age+cij*v1+dij*v2+... = sum_nc=1^ncovmodel xij(nc)*cov[nc]
                   2637:      and, according on how parameters are entered, the position of the coefficient xij(nc) of the
                   2638:      ncth covariate in the global vector x is given by the formula:
                   2639:      j<i nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel
                   2640:      j>=i nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel
                   2641:      Computes ln(pij/pii) (lnpijopii), deduces pij/pii by exponentiation,
                   2642:      sums on j different of i to get 1-pii/pii, deduces pii, and then all pij.
                   2643:      Outputs ps[i][j] the probability to be observed in j being in j according to
                   2644:      the values of the covariates cov[nc] and corresponding parameter values x[nc+shiftij]
                   2645:   */
                   2646:   double s1, lnpijopii;
                   2647:   /*double t34;*/
                   2648:   int i,j, nc, ii, jj;
                   2649: 
1.218     brouard  2650:        for(i=1; i<= nlstate; i++){
                   2651:                for(j=1; j<i;j++){
                   2652:                        for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
                   2653:                                /*lnpijopii += param[i][j][nc]*cov[nc];*/
                   2654:                                lnpijopii += x[nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel]*cov[nc];
                   2655:                                /*       printf("Int j<i s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
                   2656:                        }
                   2657:                        ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
                   2658:                        /*      printf("s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
                   2659:                }
                   2660:                for(j=i+1; j<=nlstate+ndeath;j++){
                   2661:                        for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
                   2662:                                /*lnpijopii += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];*/
                   2663:                                lnpijopii += x[nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel]*cov[nc];
                   2664:                                /*        printf("Int j>i s1=%.17e, lnpijopii=%.17e %lx %lx\n",s1,lnpijopii,s1,lnpijopii); */
                   2665:                        }
                   2666:                        ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
                   2667:                }
                   2668:        }
                   2669:        
                   2670:        for(i=1; i<= nlstate; i++){
                   2671:                s1=0;
                   2672:                for(j=1; j<i; j++){
                   2673:                        s1+=exp(ps[i][j]); /* In fact sums pij/pii */
                   2674:                        /*printf("debug1 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
                   2675:                }
                   2676:                for(j=i+1; j<=nlstate+ndeath; j++){
                   2677:                        s1+=exp(ps[i][j]); /* In fact sums pij/pii */
                   2678:                        /*printf("debug2 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
                   2679:                }
                   2680:                /* s1= sum_{j<>i} pij/pii=(1-pii)/pii and thus pii is known from s1 */
                   2681:                ps[i][i]=1./(s1+1.);
                   2682:                /* Computing other pijs */
                   2683:                for(j=1; j<i; j++)
                   2684:                        ps[i][j]= exp(ps[i][j])*ps[i][i];
                   2685:                for(j=i+1; j<=nlstate+ndeath; j++)
                   2686:                        ps[i][j]= exp(ps[i][j])*ps[i][i];
                   2687:                /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */
                   2688:        } /* end i */
                   2689:        
                   2690:        for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){
                   2691:                for(jj=1; jj<= nlstate+ndeath; jj++){
                   2692:                        ps[ii][jj]=0;
                   2693:                        ps[ii][ii]=1;
                   2694:                }
                   2695:        }
                   2696:        /* Added for backcast */ /* Transposed matrix too */
                   2697:        for(jj=1; jj<= nlstate+ndeath; jj++){
                   2698:                s1=0.;
                   2699:                for(ii=1; ii<= nlstate+ndeath; ii++){
                   2700:                        s1+=ps[ii][jj];
                   2701:                }
                   2702:                for(ii=1; ii<= nlstate; ii++){
                   2703:                        ps[ii][jj]=ps[ii][jj]/s1;
                   2704:                }
                   2705:        }
                   2706:        /* Transposition */
                   2707:        for(jj=1; jj<= nlstate+ndeath; jj++){
                   2708:                for(ii=jj; ii<= nlstate+ndeath; ii++){
                   2709:                        s1=ps[ii][jj];
                   2710:                        ps[ii][jj]=ps[jj][ii];
                   2711:                        ps[jj][ii]=s1;
                   2712:                }
                   2713:        }
                   2714:        /* for(ii=1; ii<= nlstate+ndeath; ii++){ */
                   2715:        /*   for(jj=1; jj<= nlstate+ndeath; jj++){ */
                   2716:        /*      printf(" pmij  ps[%d][%d]=%lf ",ii,jj,ps[ii][jj]); */
                   2717:        /*   } */
                   2718:        /*   printf("\n "); */
                   2719:        /* } */
                   2720:        /* printf("\n ");printf("%lf ",cov[2]);*/
                   2721:        /*
                   2722:                for(i=1; i<= npar; i++) printf("%f ",x[i]);
                   2723:                goto end;*/
                   2724:        return ps;
1.217     brouard  2725: }
                   2726: 
                   2727: 
1.126     brouard  2728: /**************** Product of 2 matrices ******************/
                   2729: 
1.145     brouard  2730: double **matprod2(double **out, double **in,int nrl, int nrh, int ncl, int nch, int ncolol, int ncoloh, double **b)
1.126     brouard  2731: {
                   2732:   /* Computes the matrix product of in(1,nrh-nrl+1)(1,nch-ncl+1) times
                   2733:      b(1,nch-ncl+1)(1,ncoloh-ncolol+1) into out(...) */
                   2734:   /* in, b, out are matrice of pointers which should have been initialized 
                   2735:      before: only the contents of out is modified. The function returns
                   2736:      a pointer to pointers identical to out */
1.145     brouard  2737:   int i, j, k;
1.126     brouard  2738:   for(i=nrl; i<= nrh; i++)
1.145     brouard  2739:     for(k=ncolol; k<=ncoloh; k++){
                   2740:       out[i][k]=0.;
                   2741:       for(j=ncl; j<=nch; j++)
                   2742:        out[i][k] +=in[i][j]*b[j][k];
                   2743:     }
1.126     brouard  2744:   return out;
                   2745: }
                   2746: 
                   2747: 
                   2748: /************* Higher Matrix Product ***************/
                   2749: 
                   2750: double ***hpxij(double ***po, int nhstepm, double age, int hstepm, double *x, int nlstate, int stepm, double **oldm, double **savm, int ij )
                   2751: {
1.218     brouard  2752:   /* Computes the transition matrix starting at age 'age' and combination of covariate values corresponding to ij over 
1.126     brouard  2753:      'nhstepm*hstepm*stepm' months (i.e. until
                   2754:      age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying 
                   2755:      nhstepm*hstepm matrices. 
                   2756:      Output is stored in matrix po[i][j][h] for h every 'hstepm' step 
                   2757:      (typically every 2 years instead of every month which is too big 
                   2758:      for the memory).
                   2759:      Model is determined by parameters x and covariates have to be 
                   2760:      included manually here. 
                   2761: 
                   2762:      */
                   2763: 
                   2764:   int i, j, d, h, k;
1.131     brouard  2765:   double **out, cov[NCOVMAX+1];
1.126     brouard  2766:   double **newm;
1.187     brouard  2767:   double agexact;
1.214     brouard  2768:   double agebegin, ageend;
1.126     brouard  2769: 
                   2770:   /* Hstepm could be zero and should return the unit matrix */
                   2771:   for (i=1;i<=nlstate+ndeath;i++)
                   2772:     for (j=1;j<=nlstate+ndeath;j++){
                   2773:       oldm[i][j]=(i==j ? 1.0 : 0.0);
                   2774:       po[i][j][0]=(i==j ? 1.0 : 0.0);
                   2775:     }
                   2776:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
                   2777:   for(h=1; h <=nhstepm; h++){
                   2778:     for(d=1; d <=hstepm; d++){
                   2779:       newm=savm;
                   2780:       /* Covariates have to be included here again */
                   2781:       cov[1]=1.;
1.214     brouard  2782:       agexact=age+((h-1)*hstepm + (d-1))*stepm/YEARM; /* age just before transition */
1.187     brouard  2783:       cov[2]=agexact;
                   2784:       if(nagesqr==1)
1.227     brouard  2785:        cov[3]= agexact*agexact;
1.131     brouard  2786:       for (k=1; k<=cptcovn;k++) 
1.227     brouard  2787:        cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)];
                   2788:       /* cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
1.186     brouard  2789:       for (k=1; k<=cptcovage;k++) /* Should start at cptcovn+1 */
1.227     brouard  2790:        /* cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
                   2791:        cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
                   2792:       /* cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,Tvar[Tage[k]])]*cov[2]; */
1.145     brouard  2793:       for (k=1; k<=cptcovprod;k++) /* Useless because included in cptcovn */
1.227     brouard  2794:        cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)]*nbcode[Tvard[k][2]][codtabm(ij,k)];
                   2795:       /* cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,Tvard[k][1])]*nbcode[Tvard[k][2]][codtabm(ij,Tvard[k][2])]; */
                   2796:       
                   2797:       
1.126     brouard  2798:       /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/
                   2799:       /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/
1.218     brouard  2800:                        /* right multiplication of oldm by the current matrix */
1.126     brouard  2801:       out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, 
                   2802:                   pmij(pmmij,cov,ncovmodel,x,nlstate));
1.217     brouard  2803:       /* if((int)age == 70){ */
                   2804:       /*       printf(" Forward hpxij age=%d agexact=%f d=%d nhstepm=%d hstepm=%d\n", (int) age, agexact, d, nhstepm, hstepm); */
                   2805:       /*       for(i=1; i<=nlstate+ndeath; i++) { */
                   2806:       /*         printf("%d pmmij ",i); */
                   2807:       /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   2808:       /*           printf("%f ",pmmij[i][j]); */
                   2809:       /*         } */
                   2810:       /*         printf(" oldm "); */
                   2811:       /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   2812:       /*           printf("%f ",oldm[i][j]); */
                   2813:       /*         } */
                   2814:       /*         printf("\n"); */
                   2815:       /*       } */
                   2816:       /* } */
1.126     brouard  2817:       savm=oldm;
                   2818:       oldm=newm;
                   2819:     }
                   2820:     for(i=1; i<=nlstate+ndeath; i++)
                   2821:       for(j=1;j<=nlstate+ndeath;j++) {
1.218     brouard  2822:                                po[i][j][h]=newm[i][j];
                   2823:                                /*if(h==nhstepm) printf("po[%d][%d][%d]=%f ",i,j,h,po[i][j][h]);*/
1.126     brouard  2824:       }
1.128     brouard  2825:     /*printf("h=%d ",h);*/
1.126     brouard  2826:   } /* end h */
1.218     brouard  2827:        /*     printf("\n H=%d \n",h); */
1.126     brouard  2828:   return po;
                   2829: }
                   2830: 
1.217     brouard  2831: /************* Higher Back Matrix Product ***************/
1.218     brouard  2832: /* 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  2833: double ***hbxij(double ***po, int nhstepm, double age, int hstepm, double *x, double ***prevacurrent, int nlstate, int stepm, int ij )
1.217     brouard  2834: {
1.218     brouard  2835:   /* Computes the transition matrix starting at age 'age' over
1.217     brouard  2836:      'nhstepm*hstepm*stepm' months (i.e. until
1.218     brouard  2837:      age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying
                   2838:      nhstepm*hstepm matrices.
                   2839:      Output is stored in matrix po[i][j][h] for h every 'hstepm' step
                   2840:      (typically every 2 years instead of every month which is too big
1.217     brouard  2841:      for the memory).
1.218     brouard  2842:      Model is determined by parameters x and covariates have to be
                   2843:      included manually here.
1.217     brouard  2844: 
1.222     brouard  2845:   */
1.217     brouard  2846: 
                   2847:   int i, j, d, h, k;
                   2848:   double **out, cov[NCOVMAX+1];
                   2849:   double **newm;
                   2850:   double agexact;
                   2851:   double agebegin, ageend;
1.222     brouard  2852:   double **oldm, **savm;
1.217     brouard  2853: 
1.222     brouard  2854:   oldm=oldms;savm=savms;
1.217     brouard  2855:   /* Hstepm could be zero and should return the unit matrix */
                   2856:   for (i=1;i<=nlstate+ndeath;i++)
                   2857:     for (j=1;j<=nlstate+ndeath;j++){
                   2858:       oldm[i][j]=(i==j ? 1.0 : 0.0);
                   2859:       po[i][j][0]=(i==j ? 1.0 : 0.0);
                   2860:     }
                   2861:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
                   2862:   for(h=1; h <=nhstepm; h++){
                   2863:     for(d=1; d <=hstepm; d++){
                   2864:       newm=savm;
                   2865:       /* Covariates have to be included here again */
                   2866:       cov[1]=1.;
                   2867:       agexact=age-((h-1)*hstepm + (d-1))*stepm/YEARM; /* age just before transition */
                   2868:       /* agexact=age+((h-1)*hstepm + (d-1))*stepm/YEARM; /\* age just before transition *\/ */
                   2869:       cov[2]=agexact;
                   2870:       if(nagesqr==1)
1.222     brouard  2871:        cov[3]= agexact*agexact;
1.218     brouard  2872:       for (k=1; k<=cptcovn;k++)
1.222     brouard  2873:        cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)];
                   2874:       /* cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
1.217     brouard  2875:       for (k=1; k<=cptcovage;k++) /* Should start at cptcovn+1 */
1.222     brouard  2876:        /* cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
                   2877:        cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
                   2878:       /* cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,Tvar[Tage[k]])]*cov[2]; */
1.217     brouard  2879:       for (k=1; k<=cptcovprod;k++) /* Useless because included in cptcovn */
1.222     brouard  2880:        cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)]*nbcode[Tvard[k][2]][codtabm(ij,k)];
                   2881:       /* 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  2882:                        
                   2883:                        
1.217     brouard  2884:       /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/
                   2885:       /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/
1.218     brouard  2886:       /* Careful transposed matrix */
1.222     brouard  2887:       /* age is in cov[2] */
1.218     brouard  2888:       /* out=matprod2(newm, bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent, dnewm, doldm, dsavm,ij),\ */
1.222     brouard  2889:       /*                                                1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); */
1.218     brouard  2890:       out=matprod2(newm, bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent,ij),\
1.222     brouard  2891:                   1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm);
1.217     brouard  2892:       /* if((int)age == 70){ */
                   2893:       /*       printf(" Backward hbxij age=%d agexact=%f d=%d nhstepm=%d hstepm=%d\n", (int) age, agexact, d, nhstepm, hstepm); */
                   2894:       /*       for(i=1; i<=nlstate+ndeath; i++) { */
                   2895:       /*         printf("%d pmmij ",i); */
                   2896:       /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   2897:       /*           printf("%f ",pmmij[i][j]); */
                   2898:       /*         } */
                   2899:       /*         printf(" oldm "); */
                   2900:       /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   2901:       /*           printf("%f ",oldm[i][j]); */
                   2902:       /*         } */
                   2903:       /*         printf("\n"); */
                   2904:       /*       } */
                   2905:       /* } */
                   2906:       savm=oldm;
                   2907:       oldm=newm;
                   2908:     }
                   2909:     for(i=1; i<=nlstate+ndeath; i++)
                   2910:       for(j=1;j<=nlstate+ndeath;j++) {
1.222     brouard  2911:        po[i][j][h]=newm[i][j];
                   2912:        /*if(h==nhstepm) printf("po[%d][%d][%d]=%f ",i,j,h,po[i][j][h]);*/
1.217     brouard  2913:       }
                   2914:     /*printf("h=%d ",h);*/
                   2915:   } /* end h */
1.222     brouard  2916:   /*     printf("\n H=%d \n",h); */
1.217     brouard  2917:   return po;
                   2918: }
                   2919: 
                   2920: 
1.162     brouard  2921: #ifdef NLOPT
                   2922:   double  myfunc(unsigned n, const double *p1, double *grad, void *pd){
                   2923:   double fret;
                   2924:   double *xt;
                   2925:   int j;
                   2926:   myfunc_data *d2 = (myfunc_data *) pd;
                   2927: /* xt = (p1-1); */
                   2928:   xt=vector(1,n); 
                   2929:   for (j=1;j<=n;j++)   xt[j]=p1[j-1]; /* xt[1]=p1[0] */
                   2930: 
                   2931:   fret=(d2->function)(xt); /*  p xt[1]@8 is fine */
                   2932:   /* fret=(*func)(xt); /\*  p xt[1]@8 is fine *\/ */
                   2933:   printf("Function = %.12lf ",fret);
                   2934:   for (j=1;j<=n;j++) printf(" %d %.8lf", j, xt[j]); 
                   2935:   printf("\n");
                   2936:  free_vector(xt,1,n);
                   2937:   return fret;
                   2938: }
                   2939: #endif
1.126     brouard  2940: 
                   2941: /*************** log-likelihood *************/
                   2942: double func( double *x)
                   2943: {
1.226     brouard  2944:   int i, ii, j, k, mi, d, kk;
                   2945:   int ioffset=0;
                   2946:   double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1];
                   2947:   double **out;
                   2948:   double lli; /* Individual log likelihood */
                   2949:   int s1, s2;
1.228   ! brouard  2950:   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  2951:   double bbh, survp;
                   2952:   long ipmx;
                   2953:   double agexact;
                   2954:   /*extern weight */
                   2955:   /* We are differentiating ll according to initial status */
                   2956:   /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
                   2957:   /*for(i=1;i<imx;i++) 
                   2958:     printf(" %d\n",s[4][i]);
                   2959:   */
1.162     brouard  2960: 
1.226     brouard  2961:   ++countcallfunc;
1.162     brouard  2962: 
1.226     brouard  2963:   cov[1]=1.;
1.126     brouard  2964: 
1.226     brouard  2965:   for(k=1; k<=nlstate; k++) ll[k]=0.;
1.224     brouard  2966:   ioffset=0;
1.226     brouard  2967:   if(mle==1){
                   2968:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
                   2969:       /* Computes the values of the ncovmodel covariates of the model
                   2970:         depending if the covariates are fixed or varying (age dependent) and stores them in cov[]
                   2971:         Then computes with function pmij which return a matrix p[i][j] giving the elementary probability
                   2972:         to be observed in j being in i according to the model.
                   2973:       */
                   2974:       ioffset=2+nagesqr+cptcovage;
                   2975:       /* for (k=1; k<=cptcovn;k++){ /\* Simple and product covariates without age* products *\/ */
                   2976:       for (k=1; k<=ncoveff;k++){ /* Simple and product covariates without age* products */
                   2977:        cov[++ioffset]=covar[Tvar[k]][i];
                   2978:       }
                   2979:       for(iqv=1; iqv <= nqfveff; iqv++){ /* Quantitatives and Fixed covariates */
1.228   ! brouard  2980:        cov[++ioffset]=coqvar[Tvar[iqv]][i];
1.226     brouard  2981:       }
                   2982: 
                   2983:       /* In model V2+V1*V4+age*V3+V3*V2 Tvar[1] is V2, Tvar[2=V1*V4] 
                   2984:         is 6, Tvar[3=age*V3] should not be computed because of age Tvar[4=V3*V2] 
                   2985:         has been calculated etc */
                   2986:       /* For an individual i, wav[i] gives the number of effective waves */
                   2987:       /* We compute the contribution to Likelihood of each effective transition
                   2988:         mw[mi][i] is real wave of the mi th effectve wave */
                   2989:       /* Then statuses are computed at each begin and end of an effective wave s1=s[ mw[mi][i] ][i];
                   2990:         s2=s[mw[mi+1][i]][i];
                   2991:         And the iv th varying covariate is the cotvar[mw[mi+1][i]][iv][i]
                   2992:         But if the variable is not in the model TTvar[iv] is the real variable effective in the model:
                   2993:         meaning that decodemodel should be used cotvar[mw[mi+1][i]][TTvar[iv]][i]
                   2994:       */
                   2995:       for(mi=1; mi<= wav[i]-1; mi++){
                   2996:        for(itv=1; itv <= ntveff; itv++){ /* Varying dummy covariates */
1.228   ! brouard  2997:          cov[ioffset+itv]=cotvar[mw[mi][i]][Tvar[itv]][i]; /* Not sure, Tvar V4+V3+V5 Tvaraff ? */
1.226     brouard  2998:        }
                   2999:        for(iqtv=1; iqtv <= nqtveff; iqtv++){ /* Varying quantitatives covariates */
                   3000:          if(cotqvar[mw[mi][i]][iqtv][i] == -1){
                   3001:            printf("i=%d, mi=%d, iqtv=%d, cotqvar[mw[mi][i]][iqtv][i]=%f",i,mi,iqtv,cotqvar[mw[mi][i]][iqtv][i]);
                   3002:          }
                   3003:          cov[ioffset+ntveff+iqtv]=cotqvar[mw[mi][i]][iqtv][i];
                   3004:        }
                   3005:        /* ioffset=2+nagesqr+cptcovn+nqv+ntv+nqtv; */
                   3006:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   3007:          for (j=1;j<=nlstate+ndeath;j++){
                   3008:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3009:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3010:          }
                   3011:        for(d=0; d<dh[mi][i]; d++){
                   3012:          newm=savm;
                   3013:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   3014:          cov[2]=agexact;
                   3015:          if(nagesqr==1)
                   3016:            cov[3]= agexact*agexact;  /* Should be changed here */
                   3017:          for (kk=1; kk<=cptcovage;kk++) {
                   3018:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact; /* Tage[kk] gives the data-covariate associated with age */
                   3019:          }
                   3020:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3021:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3022:          savm=oldm;
                   3023:          oldm=newm;
                   3024:        } /* end mult */
1.224     brouard  3025:                                
1.226     brouard  3026:        /*lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);*/ /* Original formula */
                   3027:        /* But now since version 0.9 we anticipate for bias at large stepm.
                   3028:         * If stepm is larger than one month (smallest stepm) and if the exact delay 
                   3029:         * (in months) between two waves is not a multiple of stepm, we rounded to 
                   3030:         * the nearest (and in case of equal distance, to the lowest) interval but now
                   3031:         * we keep into memory the bias bh[mi][i] and also the previous matrix product
                   3032:         * (i.e to dh[mi][i]-1) saved in 'savm'. Then we inter(extra)polate the
                   3033:         * probability in order to take into account the bias as a fraction of the way
                   3034:         * from savm to out if bh is negative or even beyond if bh is positive. bh varies
                   3035:         * -stepm/2 to stepm/2 .
                   3036:         * For stepm=1 the results are the same as for previous versions of Imach.
                   3037:         * For stepm > 1 the results are less biased than in previous versions. 
                   3038:         */
                   3039:        s1=s[mw[mi][i]][i];
                   3040:        s2=s[mw[mi+1][i]][i];
                   3041:        bbh=(double)bh[mi][i]/(double)stepm; 
                   3042:        /* bias bh is positive if real duration
                   3043:         * is higher than the multiple of stepm and negative otherwise.
                   3044:         */
                   3045:        /* lli= (savm[s1][s2]>1.e-8 ?(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]):log((1.+bbh)*out[s1][s2]));*/
                   3046:        if( s2 > nlstate){ 
                   3047:          /* i.e. if s2 is a death state and if the date of death is known 
                   3048:             then the contribution to the likelihood is the probability to 
                   3049:             die between last step unit time and current  step unit time, 
                   3050:             which is also equal to probability to die before dh 
                   3051:             minus probability to die before dh-stepm . 
                   3052:             In version up to 0.92 likelihood was computed
                   3053:             as if date of death was unknown. Death was treated as any other
                   3054:             health state: the date of the interview describes the actual state
                   3055:             and not the date of a change in health state. The former idea was
                   3056:             to consider that at each interview the state was recorded
                   3057:             (healthy, disable or death) and IMaCh was corrected; but when we
                   3058:             introduced the exact date of death then we should have modified
                   3059:             the contribution of an exact death to the likelihood. This new
                   3060:             contribution is smaller and very dependent of the step unit
                   3061:             stepm. It is no more the probability to die between last interview
                   3062:             and month of death but the probability to survive from last
                   3063:             interview up to one month before death multiplied by the
                   3064:             probability to die within a month. Thanks to Chris
                   3065:             Jackson for correcting this bug.  Former versions increased
                   3066:             mortality artificially. The bad side is that we add another loop
                   3067:             which slows down the processing. The difference can be up to 10%
                   3068:             lower mortality.
                   3069:          */
                   3070:          /* If, at the beginning of the maximization mostly, the
                   3071:             cumulative probability or probability to be dead is
                   3072:             constant (ie = 1) over time d, the difference is equal to
                   3073:             0.  out[s1][3] = savm[s1][3]: probability, being at state
                   3074:             s1 at precedent wave, to be dead a month before current
                   3075:             wave is equal to probability, being at state s1 at
                   3076:             precedent wave, to be dead at mont of the current
                   3077:             wave. Then the observed probability (that this person died)
                   3078:             is null according to current estimated parameter. In fact,
                   3079:             it should be very low but not zero otherwise the log go to
                   3080:             infinity.
                   3081:          */
1.183     brouard  3082: /* #ifdef INFINITYORIGINAL */
                   3083: /*         lli=log(out[s1][s2] - savm[s1][s2]); */
                   3084: /* #else */
                   3085: /*       if ((out[s1][s2] - savm[s1][s2]) < mytinydouble)  */
                   3086: /*         lli=log(mytinydouble); */
                   3087: /*       else */
                   3088: /*         lli=log(out[s1][s2] - savm[s1][s2]); */
                   3089: /* #endif */
1.226     brouard  3090:          lli=log(out[s1][s2] - savm[s1][s2]);
1.216     brouard  3091:          
1.226     brouard  3092:        } else if  ( s2==-1 ) { /* alive */
                   3093:          for (j=1,survp=0. ; j<=nlstate; j++) 
                   3094:            survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   3095:          /*survp += out[s1][j]; */
                   3096:          lli= log(survp);
                   3097:        }
                   3098:        else if  (s2==-4) { 
                   3099:          for (j=3,survp=0. ; j<=nlstate; j++)  
                   3100:            survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   3101:          lli= log(survp); 
                   3102:        } 
                   3103:        else if  (s2==-5) { 
                   3104:          for (j=1,survp=0. ; j<=2; j++)  
                   3105:            survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   3106:          lli= log(survp); 
                   3107:        } 
                   3108:        else{
                   3109:          lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
                   3110:          /*  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 */
                   3111:        } 
                   3112:        /*lli=(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]);*/
                   3113:        /*if(lli ==000.0)*/
                   3114:        /*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); */
                   3115:        ipmx +=1;
                   3116:        sw += weight[i];
                   3117:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   3118:        /* if (lli < log(mytinydouble)){ */
                   3119:        /*   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); */
                   3120:        /*   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]); */
                   3121:        /* } */
                   3122:       } /* end of wave */
                   3123:     } /* end of individual */
                   3124:   }  else if(mle==2){
                   3125:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
                   3126:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
                   3127:       for(mi=1; mi<= wav[i]-1; mi++){
                   3128:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   3129:          for (j=1;j<=nlstate+ndeath;j++){
                   3130:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3131:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3132:          }
                   3133:        for(d=0; d<=dh[mi][i]; d++){
                   3134:          newm=savm;
                   3135:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   3136:          cov[2]=agexact;
                   3137:          if(nagesqr==1)
                   3138:            cov[3]= agexact*agexact;
                   3139:          for (kk=1; kk<=cptcovage;kk++) {
                   3140:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
                   3141:          }
                   3142:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3143:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3144:          savm=oldm;
                   3145:          oldm=newm;
                   3146:        } /* end mult */
                   3147:       
                   3148:        s1=s[mw[mi][i]][i];
                   3149:        s2=s[mw[mi+1][i]][i];
                   3150:        bbh=(double)bh[mi][i]/(double)stepm; 
                   3151:        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 */
                   3152:        ipmx +=1;
                   3153:        sw += weight[i];
                   3154:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   3155:       } /* end of wave */
                   3156:     } /* end of individual */
                   3157:   }  else if(mle==3){  /* exponential inter-extrapolation */
                   3158:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
                   3159:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
                   3160:       for(mi=1; mi<= wav[i]-1; mi++){
                   3161:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   3162:          for (j=1;j<=nlstate+ndeath;j++){
                   3163:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3164:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3165:          }
                   3166:        for(d=0; d<dh[mi][i]; d++){
                   3167:          newm=savm;
                   3168:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   3169:          cov[2]=agexact;
                   3170:          if(nagesqr==1)
                   3171:            cov[3]= agexact*agexact;
                   3172:          for (kk=1; kk<=cptcovage;kk++) {
                   3173:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
                   3174:          }
                   3175:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3176:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3177:          savm=oldm;
                   3178:          oldm=newm;
                   3179:        } /* end mult */
                   3180:       
                   3181:        s1=s[mw[mi][i]][i];
                   3182:        s2=s[mw[mi+1][i]][i];
                   3183:        bbh=(double)bh[mi][i]/(double)stepm; 
                   3184:        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 */
                   3185:        ipmx +=1;
                   3186:        sw += weight[i];
                   3187:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   3188:       } /* end of wave */
                   3189:     } /* end of individual */
                   3190:   }else if (mle==4){  /* ml=4 no inter-extrapolation */
                   3191:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
                   3192:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
                   3193:       for(mi=1; mi<= wav[i]-1; mi++){
                   3194:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   3195:          for (j=1;j<=nlstate+ndeath;j++){
                   3196:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3197:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3198:          }
                   3199:        for(d=0; d<dh[mi][i]; d++){
                   3200:          newm=savm;
                   3201:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   3202:          cov[2]=agexact;
                   3203:          if(nagesqr==1)
                   3204:            cov[3]= agexact*agexact;
                   3205:          for (kk=1; kk<=cptcovage;kk++) {
                   3206:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
                   3207:          }
1.126     brouard  3208:        
1.226     brouard  3209:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3210:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3211:          savm=oldm;
                   3212:          oldm=newm;
                   3213:        } /* end mult */
                   3214:       
                   3215:        s1=s[mw[mi][i]][i];
                   3216:        s2=s[mw[mi+1][i]][i];
                   3217:        if( s2 > nlstate){ 
                   3218:          lli=log(out[s1][s2] - savm[s1][s2]);
                   3219:        } else if  ( s2==-1 ) { /* alive */
                   3220:          for (j=1,survp=0. ; j<=nlstate; j++) 
                   3221:            survp += out[s1][j];
                   3222:          lli= log(survp);
                   3223:        }else{
                   3224:          lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
                   3225:        }
                   3226:        ipmx +=1;
                   3227:        sw += weight[i];
                   3228:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
1.126     brouard  3229: /*     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  3230:       } /* end of wave */
                   3231:     } /* end of individual */
                   3232:   }else{  /* ml=5 no inter-extrapolation no jackson =0.8a */
                   3233:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
                   3234:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
                   3235:       for(mi=1; mi<= wav[i]-1; mi++){
                   3236:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   3237:          for (j=1;j<=nlstate+ndeath;j++){
                   3238:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3239:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3240:          }
                   3241:        for(d=0; d<dh[mi][i]; d++){
                   3242:          newm=savm;
                   3243:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   3244:          cov[2]=agexact;
                   3245:          if(nagesqr==1)
                   3246:            cov[3]= agexact*agexact;
                   3247:          for (kk=1; kk<=cptcovage;kk++) {
                   3248:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
                   3249:          }
1.126     brouard  3250:        
1.226     brouard  3251:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3252:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3253:          savm=oldm;
                   3254:          oldm=newm;
                   3255:        } /* end mult */
                   3256:       
                   3257:        s1=s[mw[mi][i]][i];
                   3258:        s2=s[mw[mi+1][i]][i];
                   3259:        lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
                   3260:        ipmx +=1;
                   3261:        sw += weight[i];
                   3262:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   3263:        /*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]);*/
                   3264:       } /* end of wave */
                   3265:     } /* end of individual */
                   3266:   } /* End of if */
                   3267:   for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
                   3268:   /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
                   3269:   l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
                   3270:   return -l;
1.126     brouard  3271: }
                   3272: 
                   3273: /*************** log-likelihood *************/
                   3274: double funcone( double *x)
                   3275: {
1.228   ! brouard  3276:   /* Same as func but slower because of a lot of printf and if */
1.126     brouard  3277:   int i, ii, j, k, mi, d, kk;
1.228   ! brouard  3278:   int ioffset=0;
1.131     brouard  3279:   double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1];
1.126     brouard  3280:   double **out;
                   3281:   double lli; /* Individual log likelihood */
                   3282:   double llt;
                   3283:   int s1, s2;
1.228   ! brouard  3284:   int iv=0, iqv=0, itv=0, iqtv=0 ; /* Index of varying covariate, fixed quantitative cov, time varying covariate, quantitative time varying covariate */
        !          3285: 
1.126     brouard  3286:   double bbh, survp;
1.187     brouard  3287:   double agexact;
1.214     brouard  3288:   double agebegin, ageend;
1.126     brouard  3289:   /*extern weight */
                   3290:   /* We are differentiating ll according to initial status */
                   3291:   /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
                   3292:   /*for(i=1;i<imx;i++) 
                   3293:     printf(" %d\n",s[4][i]);
                   3294:   */
                   3295:   cov[1]=1.;
                   3296: 
                   3297:   for(k=1; k<=nlstate; k++) ll[k]=0.;
1.224     brouard  3298:   ioffset=0;
                   3299:   for (i=1,ipmx=0, sw=0.; i<=imx; i++){
1.225     brouard  3300:     ioffset=2+nagesqr+cptcovage;
1.224     brouard  3301:     /* for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i]; */
1.226     brouard  3302:     for (k=1; k<=ncoveff+nqfveff;k++){ /* Simple and product fixed covariates without age* products */
1.225     brouard  3303:       cov[++ioffset]=covar[Tvar[k]][i];
                   3304:     }
1.226     brouard  3305:     for(iqv=1; iqv <= nqfveff; iqv++){ /* Quantitative fixed covariates */
                   3306:       cov[++ioffset]=coqvar[Tvar[iqv]][i];
1.225     brouard  3307:     }
                   3308:     
1.226     brouard  3309:     for(mi=1; mi<= wav[i]-1; mi++){  /* Varying with waves */
1.225     brouard  3310:       for(itv=1; itv <= ntveff; itv++){ /* Varying dummy covariates */
1.228   ! brouard  3311:        /* iv= Tvar[Tmodelind[ioffset-2-nagesqr-cptcovage+itv]]-ncovcol-nqv; /\* Counting the # varying covariate from 1 to ntveff *\/ */
        !          3312:        /* cov[ioffset+iv]=cotvar[mw[mi][i]][iv][i]; */
        !          3313:        k=ioffset-2-nagesqr-cptcovage+itv; /* position in simple model */
        !          3314:        cov[ioffset+itv]=cotvar[mw[mi][i]][TmodelInvind[itv]][i];
        !          3315:        printf(" i=%d,mi=%d,itv=%d,TmodelInvind[itv]=%d,cotvar[mw[mi][i]][TmodelInvind[itv]][i]=%f\n", i, mi, itv, TmodelInvind[itv],cotvar[mw[mi][i]][TmodelInvind[itv]][i]);
1.225     brouard  3316:       }
                   3317:       for(iqtv=1; iqtv <= nqtveff; iqtv++){ /* Varying quantitatives covariates */
1.228   ! brouard  3318:        iv=TmodelInvQind[iqtv]; /* Counting the # varying covariate from 1 to ntveff */
        !          3319:        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]);
        !          3320:        cov[ioffset+ntveff+iqtv]=cotqvar[mw[mi][i]][TmodelInvQind[iqtv]][i];
1.225     brouard  3321:       }
1.126     brouard  3322:       for (ii=1;ii<=nlstate+ndeath;ii++)
1.225     brouard  3323:        for (j=1;j<=nlstate+ndeath;j++){
                   3324:          oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3325:          savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3326:        }
1.214     brouard  3327:       
                   3328:       agebegin=agev[mw[mi][i]][i]; /* Age at beginning of effective wave */
                   3329:       ageend=agev[mw[mi][i]][i] + (dh[mi][i])*stepm/YEARM; /* Age at end of effective wave and at the end of transition */
                   3330:       for(d=0; d<dh[mi][i]; d++){  /* Delay between two effective waves */
1.225     brouard  3331:        /*dh[m][i] or dh[mw[mi][i]][i] is the delay between two effective waves m=mw[mi][i]
                   3332:          and mw[mi+1][i]. dh depends on stepm.*/
                   3333:        newm=savm;
                   3334:        agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   3335:        cov[2]=agexact;
                   3336:        if(nagesqr==1)
                   3337:          cov[3]= agexact*agexact;
                   3338:        for (kk=1; kk<=cptcovage;kk++) {
                   3339:          cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
                   3340:        }
                   3341:        /* printf("i=%d,mi=%d,d=%d,mw[mi][i]=%d\n",i, mi,d,mw[mi][i]); */
                   3342:        /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
                   3343:        out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3344:                     1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3345:        /* out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath, */
                   3346:        /*           1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate)); */
                   3347:        savm=oldm;
                   3348:        oldm=newm;
1.126     brouard  3349:       } /* end mult */
                   3350:       
                   3351:       s1=s[mw[mi][i]][i];
                   3352:       s2=s[mw[mi+1][i]][i];
1.217     brouard  3353:       /* if(s2==-1){ */
                   3354:       /*       printf(" s1=%d, s2=%d i=%d \n", s1, s2, i); */
                   3355:       /*       /\* exit(1); *\/ */
                   3356:       /* } */
1.126     brouard  3357:       bbh=(double)bh[mi][i]/(double)stepm; 
                   3358:       /* bias is positive if real duration
                   3359:        * is higher than the multiple of stepm and negative otherwise.
                   3360:        */
                   3361:       if( s2 > nlstate && (mle <5) ){  /* Jackson */
1.225     brouard  3362:        lli=log(out[s1][s2] - savm[s1][s2]);
1.216     brouard  3363:       } else if  ( s2==-1 ) { /* alive */
1.225     brouard  3364:        for (j=1,survp=0. ; j<=nlstate; j++) 
                   3365:          survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   3366:        lli= log(survp);
1.126     brouard  3367:       }else if (mle==1){
1.225     brouard  3368:        lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
1.126     brouard  3369:       } else if(mle==2){
1.225     brouard  3370:        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  3371:       } else if(mle==3){  /* exponential inter-extrapolation */
1.225     brouard  3372:        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  3373:       } else if (mle==4){  /* mle=4 no inter-extrapolation */
1.225     brouard  3374:        lli=log(out[s1][s2]); /* Original formula */
1.136     brouard  3375:       } else{  /* mle=0 back to 1 */
1.225     brouard  3376:        lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
                   3377:        /*lli=log(out[s1][s2]); */ /* Original formula */
1.126     brouard  3378:       } /* End of if */
                   3379:       ipmx +=1;
                   3380:       sw += weight[i];
                   3381:       ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
1.132     brouard  3382:       /*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  3383:       if(globpr){
1.225     brouard  3384:        fprintf(ficresilk,"%9ld %6.1f %6.1f %6d %2d %2d %2d %2d %3d %15.6f %8.4f %8.3f\
1.126     brouard  3385:  %11.6f %11.6f %11.6f ", \
1.225     brouard  3386:                num[i], agebegin, ageend, i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],weight[i]*gipmx/gsw,
                   3387:                2*weight[i]*lli,out[s1][s2],savm[s1][s2]);
                   3388:        for(k=1,llt=0.,l=0.; k<=nlstate; k++){
                   3389:          llt +=ll[k]*gipmx/gsw;
                   3390:          fprintf(ficresilk," %10.6f",-ll[k]*gipmx/gsw);
                   3391:        }
                   3392:        fprintf(ficresilk," %10.6f\n", -llt);
1.126     brouard  3393:       }
                   3394:     } /* end of wave */
                   3395:   } /* end of individual */
                   3396:   for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
                   3397:   /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
                   3398:   l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
                   3399:   if(globpr==0){ /* First time we count the contributions and weights */
                   3400:     gipmx=ipmx;
                   3401:     gsw=sw;
                   3402:   }
                   3403:   return -l;
                   3404: }
                   3405: 
                   3406: 
                   3407: /*************** function likelione ***********/
                   3408: void likelione(FILE *ficres,double p[], int npar, int nlstate, int *globpri, long *ipmx, double *sw, double *fretone, double (*funcone)(double []))
                   3409: {
                   3410:   /* This routine should help understanding what is done with 
                   3411:      the selection of individuals/waves and
                   3412:      to check the exact contribution to the likelihood.
                   3413:      Plotting could be done.
                   3414:    */
                   3415:   int k;
                   3416: 
                   3417:   if(*globpri !=0){ /* Just counts and sums, no printings */
1.201     brouard  3418:     strcpy(fileresilk,"ILK_"); 
1.202     brouard  3419:     strcat(fileresilk,fileresu);
1.126     brouard  3420:     if((ficresilk=fopen(fileresilk,"w"))==NULL) {
                   3421:       printf("Problem with resultfile: %s\n", fileresilk);
                   3422:       fprintf(ficlog,"Problem with resultfile: %s\n", fileresilk);
                   3423:     }
1.214     brouard  3424:     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");
                   3425:     fprintf(ficresilk, "#num_i ageb agend i s1 s2 mi mw dh likeli weight %%weight 2wlli out sav ");
1.126     brouard  3426:     /*         i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],2*weight[i]*lli,out[s1][s2],savm[s1][s2]); */
                   3427:     for(k=1; k<=nlstate; k++) 
                   3428:       fprintf(ficresilk," -2*gipw/gsw*weight*ll[%d]++",k);
                   3429:     fprintf(ficresilk," -2*gipw/gsw*weight*ll(total)\n");
                   3430:   }
                   3431: 
                   3432:   *fretone=(*funcone)(p);
                   3433:   if(*globpri !=0){
                   3434:     fclose(ficresilk);
1.205     brouard  3435:     if (mle ==0)
                   3436:       fprintf(fichtm,"\n<br>File of contributions to the likelihood computed with initial parameters and mle = %d.",mle);
                   3437:     else if(mle >=1)
                   3438:       fprintf(fichtm,"\n<br>File of contributions to the likelihood computed with optimized parameters mle = %d.",mle);
                   3439:     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  3440:     
1.208     brouard  3441:       
                   3442:     for (k=1; k<= nlstate ; k++) {
1.211     brouard  3443:       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  3444: <img src=\"%s-p%dj.png\">",k,k,subdirf2(optionfilefiname,"ILK_"),k,subdirf2(optionfilefiname,"ILK_"),k,subdirf2(optionfilefiname,"ILK_"),k);
                   3445:     }
1.207     brouard  3446:     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  3447: <img src=\"%s-ori.png\">",subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"));
1.207     brouard  3448:     fprintf(fichtm,"<br>- and by state of destination <a href=\"%s-dest.png\">%s-dest.png</a><br> \
1.204     brouard  3449: <img src=\"%s-dest.png\">",subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"));
1.207     brouard  3450:     fflush(fichtm);
1.205     brouard  3451:   }
1.126     brouard  3452:   return;
                   3453: }
                   3454: 
                   3455: 
                   3456: /*********** Maximum Likelihood Estimation ***************/
                   3457: 
                   3458: void mlikeli(FILE *ficres,double p[], int npar, int ncovmodel, int nlstate, double ftol, double (*func)(double []))
                   3459: {
1.165     brouard  3460:   int i,j, iter=0;
1.126     brouard  3461:   double **xi;
                   3462:   double fret;
                   3463:   double fretone; /* Only one call to likelihood */
                   3464:   /*  char filerespow[FILENAMELENGTH];*/
1.162     brouard  3465: 
                   3466: #ifdef NLOPT
                   3467:   int creturn;
                   3468:   nlopt_opt opt;
                   3469:   /* double lb[9] = { -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL }; /\* lower bounds *\/ */
                   3470:   double *lb;
                   3471:   double minf; /* the minimum objective value, upon return */
                   3472:   double * p1; /* Shifted parameters from 0 instead of 1 */
                   3473:   myfunc_data dinst, *d = &dinst;
                   3474: #endif
                   3475: 
                   3476: 
1.126     brouard  3477:   xi=matrix(1,npar,1,npar);
                   3478:   for (i=1;i<=npar;i++)
                   3479:     for (j=1;j<=npar;j++)
                   3480:       xi[i][j]=(i==j ? 1.0 : 0.0);
                   3481:   printf("Powell\n");  fprintf(ficlog,"Powell\n");
1.201     brouard  3482:   strcpy(filerespow,"POW_"); 
1.126     brouard  3483:   strcat(filerespow,fileres);
                   3484:   if((ficrespow=fopen(filerespow,"w"))==NULL) {
                   3485:     printf("Problem with resultfile: %s\n", filerespow);
                   3486:     fprintf(ficlog,"Problem with resultfile: %s\n", filerespow);
                   3487:   }
                   3488:   fprintf(ficrespow,"# Powell\n# iter -2*LL");
                   3489:   for (i=1;i<=nlstate;i++)
                   3490:     for(j=1;j<=nlstate+ndeath;j++)
                   3491:       if(j!=i)fprintf(ficrespow," p%1d%1d",i,j);
                   3492:   fprintf(ficrespow,"\n");
1.162     brouard  3493: #ifdef POWELL
1.126     brouard  3494:   powell(p,xi,npar,ftol,&iter,&fret,func);
1.162     brouard  3495: #endif
1.126     brouard  3496: 
1.162     brouard  3497: #ifdef NLOPT
                   3498: #ifdef NEWUOA
                   3499:   opt = nlopt_create(NLOPT_LN_NEWUOA,npar);
                   3500: #else
                   3501:   opt = nlopt_create(NLOPT_LN_BOBYQA,npar);
                   3502: #endif
                   3503:   lb=vector(0,npar-1);
                   3504:   for (i=0;i<npar;i++) lb[i]= -HUGE_VAL;
                   3505:   nlopt_set_lower_bounds(opt, lb);
                   3506:   nlopt_set_initial_step1(opt, 0.1);
                   3507:   
                   3508:   p1= (p+1); /*  p *(p+1)@8 and p *(p1)@8 are equal p1[0]=p[1] */
                   3509:   d->function = func;
                   3510:   printf(" Func %.12lf \n",myfunc(npar,p1,NULL,d));
                   3511:   nlopt_set_min_objective(opt, myfunc, d);
                   3512:   nlopt_set_xtol_rel(opt, ftol);
                   3513:   if ((creturn=nlopt_optimize(opt, p1, &minf)) < 0) {
                   3514:     printf("nlopt failed! %d\n",creturn); 
                   3515:   }
                   3516:   else {
                   3517:     printf("found minimum after %d evaluations (NLOPT=%d)\n", countcallfunc ,NLOPT);
                   3518:     printf("found minimum at f(%g,%g) = %0.10g\n", p[0], p[1], minf);
                   3519:     iter=1; /* not equal */
                   3520:   }
                   3521:   nlopt_destroy(opt);
                   3522: #endif
1.126     brouard  3523:   free_matrix(xi,1,npar,1,npar);
                   3524:   fclose(ficrespow);
1.203     brouard  3525:   printf("\n#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
                   3526:   fprintf(ficlog,"\n#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
1.180     brouard  3527:   fprintf(ficres,"#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
1.126     brouard  3528: 
                   3529: }
                   3530: 
                   3531: /**** Computes Hessian and covariance matrix ***/
1.203     brouard  3532: void hesscov(double **matcov, double **hess, double p[], int npar, double delti[], double ftolhess, double (*func)(double []))
1.126     brouard  3533: {
                   3534:   double  **a,**y,*x,pd;
1.203     brouard  3535:   /* double **hess; */
1.164     brouard  3536:   int i, j;
1.126     brouard  3537:   int *indx;
                   3538: 
                   3539:   double hessii(double p[], double delta, int theta, double delti[],double (*func)(double []),int npar);
1.203     brouard  3540:   double hessij(double p[], double **hess, double delti[], int i, int j,double (*func)(double []),int npar);
1.126     brouard  3541:   void lubksb(double **a, int npar, int *indx, double b[]) ;
                   3542:   void ludcmp(double **a, int npar, int *indx, double *d) ;
                   3543:   double gompertz(double p[]);
1.203     brouard  3544:   /* hess=matrix(1,npar,1,npar); */
1.126     brouard  3545: 
                   3546:   printf("\nCalculation of the hessian matrix. Wait...\n");
                   3547:   fprintf(ficlog,"\nCalculation of the hessian matrix. Wait...\n");
                   3548:   for (i=1;i<=npar;i++){
1.203     brouard  3549:     printf("%d-",i);fflush(stdout);
                   3550:     fprintf(ficlog,"%d-",i);fflush(ficlog);
1.126     brouard  3551:    
                   3552:      hess[i][i]=hessii(p,ftolhess,i,delti,func,npar);
                   3553:     
                   3554:     /*  printf(" %f ",p[i]);
                   3555:        printf(" %lf %lf %lf",hess[i][i],ftolhess,delti[i]);*/
                   3556:   }
                   3557:   
                   3558:   for (i=1;i<=npar;i++) {
                   3559:     for (j=1;j<=npar;j++)  {
                   3560:       if (j>i) { 
1.203     brouard  3561:        printf(".%d-%d",i,j);fflush(stdout);
                   3562:        fprintf(ficlog,".%d-%d",i,j);fflush(ficlog);
                   3563:        hess[i][j]=hessij(p,hess, delti,i,j,func,npar);
1.126     brouard  3564:        
                   3565:        hess[j][i]=hess[i][j];    
                   3566:        /*printf(" %lf ",hess[i][j]);*/
                   3567:       }
                   3568:     }
                   3569:   }
                   3570:   printf("\n");
                   3571:   fprintf(ficlog,"\n");
                   3572: 
                   3573:   printf("\nInverting the hessian to get the covariance matrix. Wait...\n");
                   3574:   fprintf(ficlog,"\nInverting the hessian to get the covariance matrix. Wait...\n");
                   3575:   
                   3576:   a=matrix(1,npar,1,npar);
                   3577:   y=matrix(1,npar,1,npar);
                   3578:   x=vector(1,npar);
                   3579:   indx=ivector(1,npar);
                   3580:   for (i=1;i<=npar;i++)
                   3581:     for (j=1;j<=npar;j++) a[i][j]=hess[i][j];
                   3582:   ludcmp(a,npar,indx,&pd);
                   3583: 
                   3584:   for (j=1;j<=npar;j++) {
                   3585:     for (i=1;i<=npar;i++) x[i]=0;
                   3586:     x[j]=1;
                   3587:     lubksb(a,npar,indx,x);
                   3588:     for (i=1;i<=npar;i++){ 
                   3589:       matcov[i][j]=x[i];
                   3590:     }
                   3591:   }
                   3592: 
                   3593:   printf("\n#Hessian matrix#\n");
                   3594:   fprintf(ficlog,"\n#Hessian matrix#\n");
                   3595:   for (i=1;i<=npar;i++) { 
                   3596:     for (j=1;j<=npar;j++) { 
1.203     brouard  3597:       printf("%.6e ",hess[i][j]);
                   3598:       fprintf(ficlog,"%.6e ",hess[i][j]);
1.126     brouard  3599:     }
                   3600:     printf("\n");
                   3601:     fprintf(ficlog,"\n");
                   3602:   }
                   3603: 
1.203     brouard  3604:   /* printf("\n#Covariance matrix#\n"); */
                   3605:   /* fprintf(ficlog,"\n#Covariance matrix#\n"); */
                   3606:   /* for (i=1;i<=npar;i++) {  */
                   3607:   /*   for (j=1;j<=npar;j++) {  */
                   3608:   /*     printf("%.6e ",matcov[i][j]); */
                   3609:   /*     fprintf(ficlog,"%.6e ",matcov[i][j]); */
                   3610:   /*   } */
                   3611:   /*   printf("\n"); */
                   3612:   /*   fprintf(ficlog,"\n"); */
                   3613:   /* } */
                   3614: 
1.126     brouard  3615:   /* Recompute Inverse */
1.203     brouard  3616:   /* for (i=1;i<=npar;i++) */
                   3617:   /*   for (j=1;j<=npar;j++) a[i][j]=matcov[i][j]; */
                   3618:   /* ludcmp(a,npar,indx,&pd); */
                   3619: 
                   3620:   /*  printf("\n#Hessian matrix recomputed#\n"); */
                   3621: 
                   3622:   /* for (j=1;j<=npar;j++) { */
                   3623:   /*   for (i=1;i<=npar;i++) x[i]=0; */
                   3624:   /*   x[j]=1; */
                   3625:   /*   lubksb(a,npar,indx,x); */
                   3626:   /*   for (i=1;i<=npar;i++){  */
                   3627:   /*     y[i][j]=x[i]; */
                   3628:   /*     printf("%.3e ",y[i][j]); */
                   3629:   /*     fprintf(ficlog,"%.3e ",y[i][j]); */
                   3630:   /*   } */
                   3631:   /*   printf("\n"); */
                   3632:   /*   fprintf(ficlog,"\n"); */
                   3633:   /* } */
                   3634: 
                   3635:   /* Verifying the inverse matrix */
                   3636: #ifdef DEBUGHESS
                   3637:   y=matprod2(y,hess,1,npar,1,npar,1,npar,matcov);
1.126     brouard  3638: 
1.203     brouard  3639:    printf("\n#Verification: multiplying the matrix of covariance by the Hessian matrix, should be unity:#\n");
                   3640:    fprintf(ficlog,"\n#Verification: multiplying the matrix of covariance by the Hessian matrix. Should be unity:#\n");
1.126     brouard  3641: 
                   3642:   for (j=1;j<=npar;j++) {
                   3643:     for (i=1;i<=npar;i++){ 
1.203     brouard  3644:       printf("%.2f ",y[i][j]);
                   3645:       fprintf(ficlog,"%.2f ",y[i][j]);
1.126     brouard  3646:     }
                   3647:     printf("\n");
                   3648:     fprintf(ficlog,"\n");
                   3649:   }
1.203     brouard  3650: #endif
1.126     brouard  3651: 
                   3652:   free_matrix(a,1,npar,1,npar);
                   3653:   free_matrix(y,1,npar,1,npar);
                   3654:   free_vector(x,1,npar);
                   3655:   free_ivector(indx,1,npar);
1.203     brouard  3656:   /* free_matrix(hess,1,npar,1,npar); */
1.126     brouard  3657: 
                   3658: 
                   3659: }
                   3660: 
                   3661: /*************** hessian matrix ****************/
                   3662: double hessii(double x[], double delta, int theta, double delti[], double (*func)(double []), int npar)
1.203     brouard  3663: { /* Around values of x, computes the function func and returns the scales delti and hessian */
1.126     brouard  3664:   int i;
                   3665:   int l=1, lmax=20;
1.203     brouard  3666:   double k1,k2, res, fx;
1.132     brouard  3667:   double p2[MAXPARM+1]; /* identical to x */
1.126     brouard  3668:   double delt=0.0001, delts, nkhi=10.,nkhif=1., khi=1.e-4;
                   3669:   int k=0,kmax=10;
                   3670:   double l1;
                   3671: 
                   3672:   fx=func(x);
                   3673:   for (i=1;i<=npar;i++) p2[i]=x[i];
1.145     brouard  3674:   for(l=0 ; l <=lmax; l++){  /* Enlarging the zone around the Maximum */
1.126     brouard  3675:     l1=pow(10,l);
                   3676:     delts=delt;
                   3677:     for(k=1 ; k <kmax; k=k+1){
                   3678:       delt = delta*(l1*k);
                   3679:       p2[theta]=x[theta] +delt;
1.145     brouard  3680:       k1=func(p2)-fx;   /* Might be negative if too close to the theoretical maximum */
1.126     brouard  3681:       p2[theta]=x[theta]-delt;
                   3682:       k2=func(p2)-fx;
                   3683:       /*res= (k1-2.0*fx+k2)/delt/delt; */
1.203     brouard  3684:       res= (k1+k2)/delt/delt/2.; /* Divided by 2 because L and not 2*L */
1.126     brouard  3685:       
1.203     brouard  3686: #ifdef DEBUGHESSII
1.126     brouard  3687:       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);
                   3688:       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);
                   3689: #endif
                   3690:       /*if(fabs(k1-2.0*fx+k2) <1.e-13){ */
                   3691:       if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)){
                   3692:        k=kmax;
                   3693:       }
                   3694:       else if((k1 >khi/nkhif) || (k2 >khi/nkhif)){ /* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. */
1.164     brouard  3695:        k=kmax; l=lmax*10;
1.126     brouard  3696:       }
                   3697:       else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){ 
                   3698:        delts=delt;
                   3699:       }
1.203     brouard  3700:     } /* End loop k */
1.126     brouard  3701:   }
                   3702:   delti[theta]=delts;
                   3703:   return res; 
                   3704:   
                   3705: }
                   3706: 
1.203     brouard  3707: double hessij( double x[], double **hess, double delti[], int thetai,int thetaj,double (*func)(double []),int npar)
1.126     brouard  3708: {
                   3709:   int i;
1.164     brouard  3710:   int l=1, lmax=20;
1.126     brouard  3711:   double k1,k2,k3,k4,res,fx;
1.132     brouard  3712:   double p2[MAXPARM+1];
1.203     brouard  3713:   int k, kmax=1;
                   3714:   double v1, v2, cv12, lc1, lc2;
1.208     brouard  3715: 
                   3716:   int firstime=0;
1.203     brouard  3717:   
1.126     brouard  3718:   fx=func(x);
1.203     brouard  3719:   for (k=1; k<=kmax; k=k+10) {
1.126     brouard  3720:     for (i=1;i<=npar;i++) p2[i]=x[i];
1.203     brouard  3721:     p2[thetai]=x[thetai]+delti[thetai]*k;
                   3722:     p2[thetaj]=x[thetaj]+delti[thetaj]*k;
1.126     brouard  3723:     k1=func(p2)-fx;
                   3724:   
1.203     brouard  3725:     p2[thetai]=x[thetai]+delti[thetai]*k;
                   3726:     p2[thetaj]=x[thetaj]-delti[thetaj]*k;
1.126     brouard  3727:     k2=func(p2)-fx;
                   3728:   
1.203     brouard  3729:     p2[thetai]=x[thetai]-delti[thetai]*k;
                   3730:     p2[thetaj]=x[thetaj]+delti[thetaj]*k;
1.126     brouard  3731:     k3=func(p2)-fx;
                   3732:   
1.203     brouard  3733:     p2[thetai]=x[thetai]-delti[thetai]*k;
                   3734:     p2[thetaj]=x[thetaj]-delti[thetaj]*k;
1.126     brouard  3735:     k4=func(p2)-fx;
1.203     brouard  3736:     res=(k1-k2-k3+k4)/4.0/delti[thetai]/k/delti[thetaj]/k/2.; /* Because of L not 2*L */
                   3737:     if(k1*k2*k3*k4 <0.){
1.208     brouard  3738:       firstime=1;
1.203     brouard  3739:       kmax=kmax+10;
1.208     brouard  3740:     }
                   3741:     if(kmax >=10 || firstime ==1){
1.218     brouard  3742:       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);
                   3743:       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  3744:       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);
                   3745:       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);
                   3746:     }
                   3747: #ifdef DEBUGHESSIJ
                   3748:     v1=hess[thetai][thetai];
                   3749:     v2=hess[thetaj][thetaj];
                   3750:     cv12=res;
                   3751:     /* Computing eigen value of Hessian matrix */
                   3752:     lc1=((v1+v2)+sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                   3753:     lc2=((v1+v2)-sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                   3754:     if ((lc2 <0) || (lc1 <0) ){
                   3755:       printf("Warning: sub Hessian matrix '%d%d' does not have positive eigen values \n",thetai,thetaj);
                   3756:       fprintf(ficlog, "Warning: sub Hessian matrix '%d%d' does not have positive eigen values \n",thetai,thetaj);
                   3757:       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);
                   3758:       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);
                   3759:     }
1.126     brouard  3760: #endif
                   3761:   }
                   3762:   return res;
                   3763: }
                   3764: 
1.203     brouard  3765:     /* Not done yet: Was supposed to fix if not exactly at the maximum */
                   3766: /* double hessij( double x[], double delti[], int thetai,int thetaj,double (*func)(double []),int npar) */
                   3767: /* { */
                   3768: /*   int i; */
                   3769: /*   int l=1, lmax=20; */
                   3770: /*   double k1,k2,k3,k4,res,fx; */
                   3771: /*   double p2[MAXPARM+1]; */
                   3772: /*   double delt=0.0001, delts, nkhi=10.,nkhif=1., khi=1.e-4; */
                   3773: /*   int k=0,kmax=10; */
                   3774: /*   double l1; */
                   3775:   
                   3776: /*   fx=func(x); */
                   3777: /*   for(l=0 ; l <=lmax; l++){  /\* Enlarging the zone around the Maximum *\/ */
                   3778: /*     l1=pow(10,l); */
                   3779: /*     delts=delt; */
                   3780: /*     for(k=1 ; k <kmax; k=k+1){ */
                   3781: /*       delt = delti*(l1*k); */
                   3782: /*       for (i=1;i<=npar;i++) p2[i]=x[i]; */
                   3783: /*       p2[thetai]=x[thetai]+delti[thetai]/k; */
                   3784: /*       p2[thetaj]=x[thetaj]+delti[thetaj]/k; */
                   3785: /*       k1=func(p2)-fx; */
                   3786:       
                   3787: /*       p2[thetai]=x[thetai]+delti[thetai]/k; */
                   3788: /*       p2[thetaj]=x[thetaj]-delti[thetaj]/k; */
                   3789: /*       k2=func(p2)-fx; */
                   3790:       
                   3791: /*       p2[thetai]=x[thetai]-delti[thetai]/k; */
                   3792: /*       p2[thetaj]=x[thetaj]+delti[thetaj]/k; */
                   3793: /*       k3=func(p2)-fx; */
                   3794:       
                   3795: /*       p2[thetai]=x[thetai]-delti[thetai]/k; */
                   3796: /*       p2[thetaj]=x[thetaj]-delti[thetaj]/k; */
                   3797: /*       k4=func(p2)-fx; */
                   3798: /*       res=(k1-k2-k3+k4)/4.0/delti[thetai]*k/delti[thetaj]*k/2.; /\* Because of L not 2*L *\/ */
                   3799: /* #ifdef DEBUGHESSIJ */
                   3800: /*       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); */
                   3801: /*       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); */
                   3802: /* #endif */
                   3803: /*       if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)|| (k4 <khi/nkhi/2.)|| (k4 <khi/nkhi/2.)){ */
                   3804: /*     k=kmax; */
                   3805: /*       } */
                   3806: /*       else if((k1 >khi/nkhif) || (k2 >khi/nkhif) || (k4 >khi/nkhif) || (k4 >khi/nkhif)){ /\* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. *\/ */
                   3807: /*     k=kmax; l=lmax*10; */
                   3808: /*       } */
                   3809: /*       else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){  */
                   3810: /*     delts=delt; */
                   3811: /*       } */
                   3812: /*     } /\* End loop k *\/ */
                   3813: /*   } */
                   3814: /*   delti[theta]=delts; */
                   3815: /*   return res;  */
                   3816: /* } */
                   3817: 
                   3818: 
1.126     brouard  3819: /************** Inverse of matrix **************/
                   3820: void ludcmp(double **a, int n, int *indx, double *d) 
                   3821: { 
                   3822:   int i,imax,j,k; 
                   3823:   double big,dum,sum,temp; 
                   3824:   double *vv; 
                   3825:  
                   3826:   vv=vector(1,n); 
                   3827:   *d=1.0; 
                   3828:   for (i=1;i<=n;i++) { 
                   3829:     big=0.0; 
                   3830:     for (j=1;j<=n;j++) 
                   3831:       if ((temp=fabs(a[i][j])) > big) big=temp; 
                   3832:     if (big == 0.0) nrerror("Singular matrix in routine ludcmp"); 
                   3833:     vv[i]=1.0/big; 
                   3834:   } 
                   3835:   for (j=1;j<=n;j++) { 
                   3836:     for (i=1;i<j;i++) { 
                   3837:       sum=a[i][j]; 
                   3838:       for (k=1;k<i;k++) sum -= a[i][k]*a[k][j]; 
                   3839:       a[i][j]=sum; 
                   3840:     } 
                   3841:     big=0.0; 
                   3842:     for (i=j;i<=n;i++) { 
                   3843:       sum=a[i][j]; 
                   3844:       for (k=1;k<j;k++) 
                   3845:        sum -= a[i][k]*a[k][j]; 
                   3846:       a[i][j]=sum; 
                   3847:       if ( (dum=vv[i]*fabs(sum)) >= big) { 
                   3848:        big=dum; 
                   3849:        imax=i; 
                   3850:       } 
                   3851:     } 
                   3852:     if (j != imax) { 
                   3853:       for (k=1;k<=n;k++) { 
                   3854:        dum=a[imax][k]; 
                   3855:        a[imax][k]=a[j][k]; 
                   3856:        a[j][k]=dum; 
                   3857:       } 
                   3858:       *d = -(*d); 
                   3859:       vv[imax]=vv[j]; 
                   3860:     } 
                   3861:     indx[j]=imax; 
                   3862:     if (a[j][j] == 0.0) a[j][j]=TINY; 
                   3863:     if (j != n) { 
                   3864:       dum=1.0/(a[j][j]); 
                   3865:       for (i=j+1;i<=n;i++) a[i][j] *= dum; 
                   3866:     } 
                   3867:   } 
                   3868:   free_vector(vv,1,n);  /* Doesn't work */
                   3869: ;
                   3870: } 
                   3871: 
                   3872: void lubksb(double **a, int n, int *indx, double b[]) 
                   3873: { 
                   3874:   int i,ii=0,ip,j; 
                   3875:   double sum; 
                   3876:  
                   3877:   for (i=1;i<=n;i++) { 
                   3878:     ip=indx[i]; 
                   3879:     sum=b[ip]; 
                   3880:     b[ip]=b[i]; 
                   3881:     if (ii) 
                   3882:       for (j=ii;j<=i-1;j++) sum -= a[i][j]*b[j]; 
                   3883:     else if (sum) ii=i; 
                   3884:     b[i]=sum; 
                   3885:   } 
                   3886:   for (i=n;i>=1;i--) { 
                   3887:     sum=b[i]; 
                   3888:     for (j=i+1;j<=n;j++) sum -= a[i][j]*b[j]; 
                   3889:     b[i]=sum/a[i][i]; 
                   3890:   } 
                   3891: } 
                   3892: 
                   3893: void pstamp(FILE *fichier)
                   3894: {
1.196     brouard  3895:   fprintf(fichier,"# %s.%s\n#IMaCh version %s, %s\n#%s\n# %s", optionfilefiname,optionfilext,version,copyright, fullversion, strstart);
1.126     brouard  3896: }
                   3897: 
                   3898: /************ Frequencies ********************/
1.226     brouard  3899: void  freqsummary(char fileres[], int iagemin, int iagemax, int **s, double **agev, int nlstate, int imx, \
                   3900:                  int *Tvaraff, int *invalidvarcomb, int **nbcode, int *ncodemax,double **mint,double **anint, char strstart[], \
                   3901:                  int firstpass,  int lastpass, int stepm, int weightopt, char model[])
                   3902: {  /* Some frequencies */
                   3903:   
1.227     brouard  3904:   int i, m, jk, j1, bool, z1,j, k, iv;
1.226     brouard  3905:   int iind=0, iage=0;
                   3906:   int mi; /* Effective wave */
                   3907:   int first;
                   3908:   double ***freq; /* Frequencies */
                   3909:   double *meanq;
                   3910:   double **meanqt;
                   3911:   double *pp, **prop, *posprop, *pospropt;
                   3912:   double pos=0., posproptt=0., pospropta=0., k2, dateintsum=0,k2cpt=0;
                   3913:   char fileresp[FILENAMELENGTH], fileresphtm[FILENAMELENGTH], fileresphtmfr[FILENAMELENGTH];
                   3914:   double agebegin, ageend;
                   3915:     
                   3916:   pp=vector(1,nlstate);
                   3917:   prop=matrix(1,nlstate,iagemin-AGEMARGE,iagemax+3+AGEMARGE); 
                   3918:   posprop=vector(1,nlstate); /* Counting the number of transition starting from a live state per age */ 
                   3919:   pospropt=vector(1,nlstate); /* Counting the number of transition starting from a live state */ 
                   3920:   /* prop=matrix(1,nlstate,iagemin,iagemax+3); */
                   3921:   meanq=vector(1,nqfveff); /* Number of Quantitative Fixed Variables Effective */
                   3922:   meanqt=matrix(1,lastpass,1,nqtveff);
                   3923:   strcpy(fileresp,"P_");
                   3924:   strcat(fileresp,fileresu);
                   3925:   /*strcat(fileresphtm,fileresu);*/
                   3926:   if((ficresp=fopen(fileresp,"w"))==NULL) {
                   3927:     printf("Problem with prevalence resultfile: %s\n", fileresp);
                   3928:     fprintf(ficlog,"Problem with prevalence resultfile: %s\n", fileresp);
                   3929:     exit(0);
                   3930:   }
1.214     brouard  3931: 
1.226     brouard  3932:   strcpy(fileresphtm,subdirfext(optionfilefiname,"PHTM_",".htm"));
                   3933:   if((ficresphtm=fopen(fileresphtm,"w"))==NULL) {
                   3934:     printf("Problem with prevalence HTM resultfile '%s' with errno='%s'\n",fileresphtm,strerror(errno));
                   3935:     fprintf(ficlog,"Problem with prevalence HTM resultfile '%s' with errno='%s'\n",fileresphtm,strerror(errno));
                   3936:     fflush(ficlog);
                   3937:     exit(70); 
                   3938:   }
                   3939:   else{
                   3940:     fprintf(ficresphtm,"<html><head>\n<title>IMaCh PHTM_ %s</title></head>\n <body><font size=\"2\">%s <br> %s</font> \
1.214     brouard  3941: <hr size=\"2\" color=\"#EC5E5E\"> \n\
                   3942: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s<br>\n",\
1.226     brouard  3943:            fileresphtm,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);
                   3944:   }
                   3945:   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  3946:     
1.226     brouard  3947:   strcpy(fileresphtmfr,subdirfext(optionfilefiname,"PHTMFR_",".htm"));
                   3948:   if((ficresphtmfr=fopen(fileresphtmfr,"w"))==NULL) {
                   3949:     printf("Problem with frequency table HTM resultfile '%s' with errno='%s'\n",fileresphtmfr,strerror(errno));
                   3950:     fprintf(ficlog,"Problem with frequency table HTM resultfile '%s' with errno='%s'\n",fileresphtmfr,strerror(errno));
                   3951:     fflush(ficlog);
                   3952:     exit(70); 
                   3953:   }
                   3954:   else{
                   3955:     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  3956: <hr size=\"2\" color=\"#EC5E5E\"> \n\
                   3957: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s<br>\n",\
1.226     brouard  3958:            fileresphtmfr,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);
                   3959:   }
                   3960:   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  3961: 
1.226     brouard  3962:   freq= ma3x(-5,nlstate+ndeath,-5,nlstate+ndeath,iagemin-AGEMARGE,iagemax+3+AGEMARGE);
                   3963:   j1=0;
1.126     brouard  3964:   
1.227     brouard  3965:   /* j=ncoveff;  /\* Only fixed dummy covariates *\/ */
                   3966:   j=cptcoveff;  /* Only dummy covariates of the model */
1.226     brouard  3967:   if (cptcovn<1) {j=1;ncodemax[1]=1;}
1.220     brouard  3968: 
1.226     brouard  3969:   first=1;
1.220     brouard  3970: 
1.226     brouard  3971:   /* Detects if a combination j1 is empty: for a multinomial variable like 3 education levels:
                   3972:      reference=low_education V1=0,V2=0
                   3973:      med_educ                V1=1 V2=0, 
                   3974:      high_educ               V1=0 V2=1
                   3975:      Then V1=1 and V2=1 is a noisy combination that we want to exclude for the list 2**cptcoveff 
                   3976:   */
1.126     brouard  3977: 
1.227     brouard  3978:   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  3979:     posproptt=0.;
                   3980:     /*printf("cptcoveff=%d Tvaraff=%d", cptcoveff,Tvaraff[1]);
                   3981:       scanf("%d", i);*/
                   3982:     for (i=-5; i<=nlstate+ndeath; i++)  
                   3983:       for (jk=-5; jk<=nlstate+ndeath; jk++)  
                   3984:        for(m=iagemin; m <= iagemax+3; m++)
                   3985:          freq[i][jk][m]=0;
                   3986:       
                   3987:     for (i=1; i<=nlstate; i++)  {
                   3988:       for(m=iagemin; m <= iagemax+3; m++)
                   3989:        prop[i][m]=0;
                   3990:       posprop[i]=0;
                   3991:       pospropt[i]=0;
                   3992:     }
1.227     brouard  3993:     /* for (z1=1; z1<= nqfveff; z1++) {   */
                   3994:     /*   meanq[z1]+=0.; */
                   3995:     /*   for(m=1;m<=lastpass;m++){ */
                   3996:     /*         meanqt[m][z1]=0.; */
                   3997:     /*   } */
                   3998:     /* } */
1.220     brouard  3999:       
1.226     brouard  4000:     dateintsum=0;
                   4001:     k2cpt=0;
1.227     brouard  4002:     /* For that combination of covariate j1, we count and print the frequencies in one pass */
1.226     brouard  4003:     for (iind=1; iind<=imx; iind++) { /* For each individual iind */
                   4004:       bool=1;
1.227     brouard  4005:       if(anyvaryingduminmodel==0){ /* If All fixed covariates */
                   4006:        if (cptcoveff >0) { /* Filter is here: Must be looked at for model=V1+V2+V3+V4 */
                   4007:          /* for (z1=1; z1<= nqfveff; z1++) {   */
                   4008:          /*   meanq[z1]+=coqvar[Tvar[z1]][iind];  /\* Computes mean of quantitative with selected filter *\/ */
                   4009:          /* } */
                   4010:          for (z1=1; z1<=cptcoveff; z1++) {  
                   4011:            /* if(Tvaraff[z1] ==-20){ */
                   4012:            /*   /\* sumnew+=cotvar[mw[mi][iind]][z1][iind]; *\/ */
                   4013:            /* }else  if(Tvaraff[z1] ==-10){ */
                   4014:            /*   /\* sumnew+=coqvar[z1][iind]; *\/ */
                   4015:            /* }else  */
                   4016:            if (covar[Tvaraff[z1]][iind]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]){
                   4017:              /* Tests if this individual iind responded to j1 (V4=1 V3=0) */
                   4018:              bool=0;
                   4019:              /* 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", 
                   4020:                 bool,i,z1, z1, Tvaraff[z1],i,covar[Tvaraff[z1]][i],j1,z1,codtabm(j1,z1),
                   4021:                 j1,z1,nbcode[Tvaraff[z1]][codtabm(j1,z1)],j1);*/
                   4022:              /* For j1=7 in V1+V2+V3+V4 = 0 1 1 0 and codtabm(7,3)=1 and nbcde[3][?]=1*/
                   4023:            } /* Onlyf fixed */
                   4024:          } /* end z1 */
                   4025:        } /* cptcovn > 0 */
                   4026:       } /* end any */
                   4027:       if (bool==1){ /* We selected an individual iind satisfying combination j1 or all fixed */
1.226     brouard  4028:        /* for(m=firstpass; m<=lastpass; m++){ */
1.227     brouard  4029:        for(mi=1; mi<wav[iind];mi++){ /* For that wave */
1.226     brouard  4030:          m=mw[mi][iind];
1.227     brouard  4031:          if(anyvaryingduminmodel==1){ /* Some are varying covariates */
                   4032:            for (z1=1; z1<=cptcoveff; z1++) {
                   4033:              if( Fixed[Tmodelind[z1]]==1){
                   4034:                iv= Tvar[Tmodelind[z1]]-ncovcol-nqv;
                   4035:                if (cotvar[m][iv][iind]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]) /* iv=1 to ntv, right modality */
                   4036:                  bool=0;
                   4037:              }else if( Fixed[Tmodelind[z1]]== 0) { /* fixed */
                   4038:                if (covar[Tvaraff[z1]][iind]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]) {
                   4039:                  bool=0;
                   4040:                }
                   4041:              }
                   4042:            }
                   4043:          }/* Some are varying covariates, we tried to speed up if all fixed covariates in the model, avoiding waves loop  */
                   4044:          /* bool =0 we keep that guy which corresponds to the combination of dummy values */
                   4045:          if(bool==1){
                   4046:            /* dh[m][iind] or dh[mw[mi][iind]][iind] is the delay between two effective (mi) waves m=mw[mi][iind]
                   4047:               and mw[mi+1][iind]. dh depends on stepm. */
                   4048:            agebegin=agev[m][iind]; /* Age at beginning of wave before transition*/
                   4049:            ageend=agev[m][iind]+(dh[m][iind])*stepm/YEARM; /* Age at end of wave and transition */
                   4050:            if(m >=firstpass && m <=lastpass){
                   4051:              k2=anint[m][iind]+(mint[m][iind]/12.);
                   4052:              /*if ((k2>=dateprev1) && (k2<=dateprev2)) {*/
                   4053:              if(agev[m][iind]==0) agev[m][iind]=iagemax+1;  /* All ages equal to 0 are in iagemax+1 */
                   4054:              if(agev[m][iind]==1) agev[m][iind]=iagemax+2;  /* All ages equal to 1 are in iagemax+2 */
                   4055:              if (s[m][iind]>0 && s[m][iind]<=nlstate)  /* If status at wave m is known and a live state */
                   4056:                prop[s[m][iind]][(int)agev[m][iind]] += weight[iind];  /* At age of beginning of transition, where status is known */
                   4057:              if (m<lastpass) {
                   4058:                /* if(s[m][iind]==4 && s[m+1][iind]==4) */
                   4059:                /*   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]); */
                   4060:                if(s[m][iind]==-1)
                   4061:                  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.));
                   4062:                freq[s[m][iind]][s[m+1][iind]][(int)agev[m][iind]] += weight[iind]; /* At age of beginning of transition, where status is known */
                   4063:                /* freq[s[m][iind]][s[m+1][iind]][(int)((agebegin+ageend)/2.)] += weight[iind]; */
                   4064:                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 */
                   4065:              }
                   4066:            } /* end if between passes */  
                   4067:            if ((agev[m][iind]>1) && (agev[m][iind]< (iagemax+3)) && (anint[m][iind]!=9999) && (mint[m][iind]!=99)) {
                   4068:              dateintsum=dateintsum+k2;
                   4069:              k2cpt++;
                   4070:              /* printf("iind=%ld dateintmean = %lf dateintsum=%lf k2cpt=%lf k2=%lf\n",iind, dateintsum/k2cpt, dateintsum,k2cpt, k2); */
1.226     brouard  4071:            }
1.227     brouard  4072:          } /* end bool 2 */
1.226     brouard  4073:        } /* end m */
                   4074:       } /* end bool */
                   4075:     } /* end iind = 1 to imx */
                   4076:     /* prop[s][age] is feeded for any initial and valid live state as well as
                   4077:        freq[s1][s2][age] at single age of beginning the transition, for a combination j1 */
                   4078: 
                   4079: 
                   4080:     /*      fprintf(ficresp, "#Count between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);*/
                   4081:     pstamp(ficresp);
1.227     brouard  4082:     /* if  (ncoveff>0) { */
                   4083:     if  (cptcoveff>0) {
1.226     brouard  4084:       fprintf(ficresp, "\n#********** Variable "); 
                   4085:       fprintf(ficresphtm, "\n<br/><br/><h3>********** Variable "); 
                   4086:       fprintf(ficresphtmfr, "\n<br/><br/><h3>********** Variable "); 
1.227     brouard  4087:       for (z1=1; z1<=cptcoveff; z1++){
1.226     brouard  4088:        fprintf(ficresp, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4089:        fprintf(ficresphtm, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4090:        fprintf(ficresphtmfr, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4091:       }
                   4092:       fprintf(ficresp, "**********\n#");
                   4093:       fprintf(ficresphtm, "**********</h3>\n");
                   4094:       fprintf(ficresphtmfr, "**********</h3>\n");
                   4095:       fprintf(ficlog, "\n#********** Variable "); 
1.227     brouard  4096:       for (z1=1; z1<=cptcoveff; z1++) fprintf(ficlog, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.226     brouard  4097:       fprintf(ficlog, "**********\n");
                   4098:     }
                   4099:     fprintf(ficresphtm,"<table style=\"text-align:center; border: 1px solid\">");
                   4100:     for(i=1; i<=nlstate;i++) {
                   4101:       fprintf(ficresp, " Age Prev(%d) N(%d) N",i,i);
                   4102:       fprintf(ficresphtm, "<th>Age</th><th>Prev(%d)</th><th>N(%d)</th><th>N</th>",i,i);
                   4103:     }
                   4104:     fprintf(ficresp, "\n");
                   4105:     fprintf(ficresphtm, "\n");
                   4106:       
                   4107:     /* Header of frequency table by age */
                   4108:     fprintf(ficresphtmfr,"<table style=\"text-align:center; border: 1px solid\">");
                   4109:     fprintf(ficresphtmfr,"<th>Age</th> ");
                   4110:     for(jk=-1; jk <=nlstate+ndeath; jk++){
                   4111:       for(m=-1; m <=nlstate+ndeath; m++){
                   4112:        if(jk!=0 && m!=0)
                   4113:          fprintf(ficresphtmfr,"<th>%d%d</th> ",jk,m);
                   4114:       }
                   4115:     }
                   4116:     fprintf(ficresphtmfr, "\n");
                   4117:       
                   4118:     /* For each age */
                   4119:     for(iage=iagemin; iage <= iagemax+3; iage++){
                   4120:       fprintf(ficresphtm,"<tr>");
                   4121:       if(iage==iagemax+1){
                   4122:        fprintf(ficlog,"1");
                   4123:        fprintf(ficresphtmfr,"<tr><th>0</th> ");
                   4124:       }else if(iage==iagemax+2){
                   4125:        fprintf(ficlog,"0");
                   4126:        fprintf(ficresphtmfr,"<tr><th>Unknown</th> ");
                   4127:       }else if(iage==iagemax+3){
                   4128:        fprintf(ficlog,"Total");
                   4129:        fprintf(ficresphtmfr,"<tr><th>Total</th> ");
                   4130:       }else{
                   4131:        if(first==1){
                   4132:          first=0;
                   4133:          printf("See log file for details...\n");
                   4134:        }
                   4135:        fprintf(ficresphtmfr,"<tr><th>%d</th> ",iage);
                   4136:        fprintf(ficlog,"Age %d", iage);
                   4137:       }
                   4138:       for(jk=1; jk <=nlstate ; jk++){
                   4139:        for(m=-1, pp[jk]=0; m <=nlstate+ndeath ; m++)
                   4140:          pp[jk] += freq[jk][m][iage]; 
                   4141:       }
                   4142:       for(jk=1; jk <=nlstate ; jk++){
                   4143:        for(m=-1, pos=0; m <=0 ; m++)
                   4144:          pos += freq[jk][m][iage];
                   4145:        if(pp[jk]>=1.e-10){
                   4146:          if(first==1){
                   4147:            printf(" %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);
                   4148:          }
                   4149:          fprintf(ficlog," %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);
                   4150:        }else{
                   4151:          if(first==1)
                   4152:            printf(" %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);
                   4153:          fprintf(ficlog," %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);
                   4154:        }
                   4155:       }
                   4156: 
                   4157:       for(jk=1; jk <=nlstate ; jk++){ 
                   4158:        /* posprop[jk]=0; */
                   4159:        for(m=0, pp[jk]=0; m <=nlstate+ndeath; m++)/* Summing on all ages */
                   4160:          pp[jk] += freq[jk][m][iage];
                   4161:       }        /* pp[jk] is the total number of transitions starting from state jk and any ending status until this age */
                   4162: 
                   4163:       for(jk=1,pos=0, pospropta=0.; jk <=nlstate ; jk++){
                   4164:        pos += pp[jk]; /* pos is the total number of transitions until this age */
                   4165:        posprop[jk] += prop[jk][iage]; /* prop is the number of transitions from a live state
                   4166:                                          from jk at age iage prop[s[m][iind]][(int)agev[m][iind]] += weight[iind] */
                   4167:        pospropta += prop[jk][iage]; /* prop is the number of transitions from a live state
                   4168:                                        from jk at age iage prop[s[m][iind]][(int)agev[m][iind]] += weight[iind] */
                   4169:       }
                   4170:       for(jk=1; jk <=nlstate ; jk++){
                   4171:        if(pos>=1.e-5){
                   4172:          if(first==1)
                   4173:            printf(" %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);
                   4174:          fprintf(ficlog," %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);
                   4175:        }else{
                   4176:          if(first==1)
                   4177:            printf(" %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);
                   4178:          fprintf(ficlog," %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);
                   4179:        }
                   4180:        if( iage <= iagemax){
                   4181:          if(pos>=1.e-5){
                   4182:            fprintf(ficresp," %d %.5f %.0f %.0f",iage,prop[jk][iage]/pospropta, prop[jk][iage],pospropta);
                   4183:            fprintf(ficresphtm,"<th>%d</th><td>%.5f</td><td>%.0f</td><td>%.0f</td>",iage,prop[jk][iage]/pospropta, prop[jk][iage],pospropta);
                   4184:            /*probs[iage][jk][j1]= pp[jk]/pos;*/
                   4185:            /*printf("\niage=%d jk=%d j1=%d %.5f %.0f %.0f %f",iage,jk,j1,pp[jk]/pos, pp[jk],pos,probs[iage][jk][j1]);*/
                   4186:          }
                   4187:          else{
                   4188:            fprintf(ficresp," %d NaNq %.0f %.0f",iage,prop[jk][iage],pospropta);
                   4189:            fprintf(ficresphtm,"<th>%d</th><td>NaNq</td><td>%.0f</td><td>%.0f</td>",iage, prop[jk][iage],pospropta);
                   4190:          }
                   4191:        }
                   4192:        pospropt[jk] +=posprop[jk];
                   4193:       } /* end loop jk */
                   4194:       /* pospropt=0.; */
                   4195:       for(jk=-1; jk <=nlstate+ndeath; jk++){
                   4196:        for(m=-1; m <=nlstate+ndeath; m++){
                   4197:          if(freq[jk][m][iage] !=0 ) { /* minimizing output */
                   4198:            if(first==1){
                   4199:              printf(" %d%d=%.0f",jk,m,freq[jk][m][iage]);
                   4200:            }
                   4201:            fprintf(ficlog," %d%d=%.0f",jk,m,freq[jk][m][iage]);
                   4202:          }
                   4203:          if(jk!=0 && m!=0)
                   4204:            fprintf(ficresphtmfr,"<td>%.0f</td> ",freq[jk][m][iage]);
                   4205:        }
                   4206:       } /* end loop jk */
                   4207:       posproptt=0.; 
                   4208:       for(jk=1; jk <=nlstate; jk++){
                   4209:        posproptt += pospropt[jk];
                   4210:       }
                   4211:       fprintf(ficresphtmfr,"</tr>\n ");
                   4212:       if(iage <= iagemax){
                   4213:        fprintf(ficresp,"\n");
                   4214:        fprintf(ficresphtm,"</tr>\n");
                   4215:       }
                   4216:       if(first==1)
                   4217:        printf("Others in log...\n");
                   4218:       fprintf(ficlog,"\n");
                   4219:     } /* end loop age iage */
                   4220:     fprintf(ficresphtm,"<tr><th>Tot</th>");
                   4221:     for(jk=1; jk <=nlstate ; jk++){
                   4222:       if(posproptt < 1.e-5){
                   4223:        fprintf(ficresphtm,"<td>Nanq</td><td>%.0f</td><td>%.0f</td>",pospropt[jk],posproptt);   
                   4224:       }else{
                   4225:        fprintf(ficresphtm,"<td>%.5f</td><td>%.0f</td><td>%.0f</td>",pospropt[jk]/posproptt,pospropt[jk],posproptt);    
                   4226:       }
                   4227:     }
                   4228:     fprintf(ficresphtm,"</tr>\n");
                   4229:     fprintf(ficresphtm,"</table>\n");
                   4230:     fprintf(ficresphtmfr,"</table>\n");
                   4231:     if(posproptt < 1.e-5){
                   4232:       fprintf(ficresphtm,"\n <p><b> This combination (%d) is not valid and no result will be produced</b></p>",j1);
                   4233:       fprintf(ficresphtmfr,"\n <p><b> This combination (%d) is not valid and no result will be produced</b></p>",j1);
                   4234:       fprintf(ficres,"\n  This combination (%d) is not valid and no result will be produced\n\n",j1);
                   4235:       invalidvarcomb[j1]=1;
                   4236:     }else{
                   4237:       fprintf(ficresphtm,"\n <p> This combination (%d) is valid and result will be produced.</p>",j1);
                   4238:       invalidvarcomb[j1]=0;
                   4239:     }
                   4240:     fprintf(ficresphtmfr,"</table>\n");
                   4241:   } /* end selected combination of covariate j1 */
                   4242:   dateintmean=dateintsum/k2cpt; 
1.220     brouard  4243:                 
1.226     brouard  4244:   fclose(ficresp);
                   4245:   fclose(ficresphtm);
                   4246:   fclose(ficresphtmfr);
                   4247:   free_vector(meanq,1,nqfveff);
                   4248:   free_matrix(meanqt,1,lastpass,1,nqtveff);
                   4249:   free_ma3x(freq,-5,nlstate+ndeath,-5,nlstate+ndeath, iagemin-AGEMARGE, iagemax+3+AGEMARGE);
                   4250:   free_vector(pospropt,1,nlstate);
                   4251:   free_vector(posprop,1,nlstate);
                   4252:   free_matrix(prop,1,nlstate,iagemin-AGEMARGE, iagemax+3+AGEMARGE);
                   4253:   free_vector(pp,1,nlstate);
                   4254:   /* End of freqsummary */
                   4255: }
1.126     brouard  4256: 
                   4257: /************ Prevalence ********************/
1.227     brouard  4258: 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)
                   4259: {  
                   4260:   /* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people
                   4261:      in each health status at the date of interview (if between dateprev1 and dateprev2).
                   4262:      We still use firstpass and lastpass as another selection.
                   4263:   */
1.126     brouard  4264:  
1.227     brouard  4265:   int i, m, jk, j1, bool, z1,j, iv;
                   4266:   int mi; /* Effective wave */
                   4267:   int iage;
                   4268:   double agebegin, ageend;
                   4269: 
                   4270:   double **prop;
                   4271:   double posprop; 
                   4272:   double  y2; /* in fractional years */
                   4273:   int iagemin, iagemax;
                   4274:   int first; /** to stop verbosity which is redirected to log file */
                   4275: 
                   4276:   iagemin= (int) agemin;
                   4277:   iagemax= (int) agemax;
                   4278:   /*pp=vector(1,nlstate);*/
                   4279:   prop=matrix(1,nlstate,iagemin-AGEMARGE,iagemax+3+AGEMARGE); 
                   4280:   /*  freq=ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,iagemin,iagemax+3);*/
                   4281:   j1=0;
1.222     brouard  4282:   
1.227     brouard  4283:   /*j=cptcoveff;*/
                   4284:   if (cptcovn<1) {j=1;ncodemax[1]=1;}
1.222     brouard  4285:   
1.227     brouard  4286:   first=1;
                   4287:   for(j1=1; j1<= (int) pow(2,cptcoveff);j1++){ /* For each combination of covariate */
                   4288:     for (i=1; i<=nlstate; i++)  
                   4289:       for(iage=iagemin-AGEMARGE; iage <= iagemax+3+AGEMARGE; iage++)
                   4290:        prop[i][iage]=0.0;
                   4291:     printf("Prevalence combination of varying and fixed dummies %d\n",j1);
                   4292:     /* fprintf(ficlog," V%d=%d ",Tvaraff[j1],nbcode[Tvaraff[j1]][codtabm(k,j1)]); */
                   4293:     fprintf(ficlog,"Prevalence combination of varying and fixed dummies %d\n",j1);
                   4294:     
                   4295:     for (i=1; i<=imx; i++) { /* Each individual */
                   4296:       bool=1;
                   4297:       /* for(m=firstpass; m<=lastpass; m++){/\* Other selection (we can limit to certain interviews*\/ */
                   4298:       for(mi=1; mi<wav[i];mi++){ /* For this wave too look where individual can be counted V4=0 V3=0 */
                   4299:        m=mw[mi][i];
                   4300:        /* Tmodelind[z1]=k is the position of the varying covariate in the model, but which # within 1 to ntv? */
                   4301:        /* Tvar[Tmodelind[z1]] is the n of Vn; n-ncovcol-nqv is the first time varying covariate or iv */
                   4302:        for (z1=1; z1<=cptcoveff; z1++){
                   4303:          if( Fixed[Tmodelind[z1]]==1){
                   4304:            iv= Tvar[Tmodelind[z1]]-ncovcol-nqv;
                   4305:            if (cotvar[m][iv][i]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]) /* iv=1 to ntv, right modality */
                   4306:              bool=0;
                   4307:          }else if( Fixed[Tmodelind[z1]]== 0)  /* fixed */
                   4308:            if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]) {
                   4309:              bool=0;
                   4310:            }
                   4311:        }
                   4312:        if(bool==1){ /* Otherwise we skip that wave/person */
                   4313:          agebegin=agev[m][i]; /* Age at beginning of wave before transition*/
                   4314:          /* ageend=agev[m][i]+(dh[m][i])*stepm/YEARM; /\* Age at end of wave and transition *\/ */
                   4315:          if(m >=firstpass && m <=lastpass){
                   4316:            y2=anint[m][i]+(mint[m][i]/12.); /* Fractional date in year */
                   4317:            if ((y2>=dateprev1) && (y2<=dateprev2)) { /* Here is the main selection (fractional years) */
                   4318:              if(agev[m][i]==0) agev[m][i]=iagemax+1;
                   4319:              if(agev[m][i]==1) agev[m][i]=iagemax+2;
                   4320:              if((int)agev[m][i] <iagemin-AGEMARGE || (int)agev[m][i] >iagemax+3+AGEMARGE){
                   4321:                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); 
                   4322:                exit(1);
                   4323:              }
                   4324:              if (s[m][i]>0 && s[m][i]<=nlstate) { 
                   4325:                /*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]]);*/
                   4326:                prop[s[m][i]][(int)agev[m][i]] += weight[i];/* At age of beginning of transition, where status is known */
                   4327:                prop[s[m][i]][iagemax+3] += weight[i]; 
                   4328:              } /* end valid statuses */ 
                   4329:            } /* end selection of dates */
                   4330:          } /* end selection of waves */
                   4331:        } /* end bool */
                   4332:       } /* end wave */
                   4333:     } /* end individual */
                   4334:     for(i=iagemin; i <= iagemax+3; i++){  
                   4335:       for(jk=1,posprop=0; jk <=nlstate ; jk++) { 
                   4336:        posprop += prop[jk][i]; 
                   4337:       } 
                   4338:       
                   4339:       for(jk=1; jk <=nlstate ; jk++){      
                   4340:        if( i <=  iagemax){ 
                   4341:          if(posprop>=1.e-5){ 
                   4342:            probs[i][jk][j1]= prop[jk][i]/posprop;
                   4343:          } else{
                   4344:            if(first==1){
                   4345:              first=0;
                   4346:              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]);
                   4347:            }
                   4348:          }
                   4349:        } 
                   4350:       }/* end jk */ 
                   4351:     }/* end i */ 
1.222     brouard  4352:      /*} *//* end i1 */
1.227     brouard  4353:   } /* end j1 */
1.222     brouard  4354:   
1.227     brouard  4355:   /*  free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath, iagemin, iagemax+3);*/
                   4356:   /*free_vector(pp,1,nlstate);*/
                   4357:   free_matrix(prop,1,nlstate, iagemin-AGEMARGE,iagemax+3+AGEMARGE);
                   4358: }  /* End of prevalence */
1.126     brouard  4359: 
                   4360: /************* Waves Concatenation ***************/
                   4361: 
                   4362: 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)
                   4363: {
                   4364:   /* Concatenates waves: wav[i] is the number of effective (useful waves) of individual i.
                   4365:      Death is a valid wave (if date is known).
                   4366:      mw[mi][i] is the mi (mi=1 to wav[i])  effective wave of individual i
                   4367:      dh[m][i] or dh[mw[mi][i]][i] is the delay between two effective waves m=mw[mi][i]
                   4368:      and mw[mi+1][i]. dh depends on stepm.
1.227     brouard  4369:   */
1.126     brouard  4370: 
1.224     brouard  4371:   int i=0, mi=0, m=0, mli=0;
1.126     brouard  4372:   /* int j, k=0,jk, ju, jl,jmin=1e+5, jmax=-1;
                   4373:      double sum=0., jmean=0.;*/
1.224     brouard  4374:   int first=0, firstwo=0, firsthree=0, firstfour=0, firstfiv=0;
1.126     brouard  4375:   int j, k=0,jk, ju, jl;
                   4376:   double sum=0.;
                   4377:   first=0;
1.214     brouard  4378:   firstwo=0;
1.217     brouard  4379:   firsthree=0;
1.218     brouard  4380:   firstfour=0;
1.164     brouard  4381:   jmin=100000;
1.126     brouard  4382:   jmax=-1;
                   4383:   jmean=0.;
1.224     brouard  4384: 
                   4385: /* Treating live states */
1.214     brouard  4386:   for(i=1; i<=imx; i++){  /* For simple cases and if state is death */
1.224     brouard  4387:     mi=0;  /* First valid wave */
1.227     brouard  4388:     mli=0; /* Last valid wave */
1.126     brouard  4389:     m=firstpass;
1.214     brouard  4390:     while(s[m][i] <= nlstate){  /* a live state */
1.227     brouard  4391:       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 */
                   4392:        mli=m-1;/* mw[++mi][i]=m-1; */
                   4393:       }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 */
                   4394:        mw[++mi][i]=m;
                   4395:        mli=m;
1.224     brouard  4396:       } /* else might be a useless wave  -1 and mi is not incremented and mw[mi] not updated */
                   4397:       if(m < lastpass){ /* m < lastpass, standard case */
1.227     brouard  4398:        m++; /* mi gives the "effective" current wave, m the current wave, go to next wave by incrementing m */
1.216     brouard  4399:       }
1.227     brouard  4400:       else{ /* m >= lastpass, eventual special issue with warning */
1.224     brouard  4401: #ifdef UNKNOWNSTATUSNOTCONTRIBUTING
1.227     brouard  4402:        break;
1.224     brouard  4403: #else
1.227     brouard  4404:        if(s[m][i]==-1 && (int) andc[i] == 9999 && (int)anint[m][i] != 9999){
                   4405:          if(firsthree == 0){
                   4406:            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);
                   4407:            firsthree=1;
                   4408:          }
                   4409:          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);
                   4410:          mw[++mi][i]=m;
                   4411:          mli=m;
                   4412:        }
                   4413:        if(s[m][i]==-2){ /* Vital status is really unknown */
                   4414:          nbwarn++;
                   4415:          if((int)anint[m][i] == 9999){  /*  Has the vital status really been verified? */
                   4416:            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);
                   4417:            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);
                   4418:          }
                   4419:          break;
                   4420:        }
                   4421:        break;
1.224     brouard  4422: #endif
1.227     brouard  4423:       }/* End m >= lastpass */
1.126     brouard  4424:     }/* end while */
1.224     brouard  4425: 
1.227     brouard  4426:     /* 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  4427:     /* After last pass */
1.224     brouard  4428: /* Treating death states */
1.214     brouard  4429:     if (s[m][i] > nlstate){  /* In a death state */
1.227     brouard  4430:       /* if( mint[m][i]==mdc[m][i] && anint[m][i]==andc[m][i]){ /\* same date of death and date of interview *\/ */
                   4431:       /* } */
1.126     brouard  4432:       mi++;    /* Death is another wave */
                   4433:       /* if(mi==0)  never been interviewed correctly before death */
1.227     brouard  4434:       /* Only death is a correct wave */
1.126     brouard  4435:       mw[mi][i]=m;
1.224     brouard  4436:     }
                   4437: #ifndef DISPATCHINGKNOWNDEATHAFTERLASTWAVE
1.227     brouard  4438:     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  4439:       /* m++; */
                   4440:       /* mi++; */
                   4441:       /* s[m][i]=nlstate+1;  /\* We are setting the status to the last of non live state *\/ */
                   4442:       /* mw[mi][i]=m; */
1.218     brouard  4443:       if ((int)anint[m][i]!= 9999) { /* date of last interview is known */
1.227     brouard  4444:        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 */
                   4445:          nbwarn++;
                   4446:          if(firstfiv==0){
                   4447:            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 );
                   4448:            firstfiv=1;
                   4449:          }else{
                   4450:            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 );
                   4451:          }
                   4452:        }else{ /* Death occured afer last wave potential bias */
                   4453:          nberr++;
                   4454:          if(firstwo==0){
                   4455:            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 );
                   4456:            firstwo=1;
                   4457:          }
                   4458:          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 );
                   4459:        }
1.218     brouard  4460:       }else{ /* end date of interview is known */
1.227     brouard  4461:        /* death is known but not confirmed by death status at any wave */
                   4462:        if(firstfour==0){
                   4463:          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 );
                   4464:          firstfour=1;
                   4465:        }
                   4466:        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  4467:       }
1.224     brouard  4468:     } /* end if date of death is known */
                   4469: #endif
                   4470:     wav[i]=mi; /* mi should be the last effective wave (or mli) */
                   4471:     /* wav[i]=mw[mi][i]; */
1.126     brouard  4472:     if(mi==0){
                   4473:       nbwarn++;
                   4474:       if(first==0){
1.227     brouard  4475:        printf("Warning! No valid information for individual %ld line=%d (skipped) and may be others, see log file\n",num[i],i);
                   4476:        first=1;
1.126     brouard  4477:       }
                   4478:       if(first==1){
1.227     brouard  4479:        fprintf(ficlog,"Warning! No valid information for individual %ld line=%d (skipped)\n",num[i],i);
1.126     brouard  4480:       }
                   4481:     } /* end mi==0 */
                   4482:   } /* End individuals */
1.214     brouard  4483:   /* wav and mw are no more changed */
1.223     brouard  4484:        
1.214     brouard  4485:   
1.126     brouard  4486:   for(i=1; i<=imx; i++){
                   4487:     for(mi=1; mi<wav[i];mi++){
                   4488:       if (stepm <=0)
1.227     brouard  4489:        dh[mi][i]=1;
1.126     brouard  4490:       else{
1.227     brouard  4491:        if (s[mw[mi+1][i]][i] > nlstate) { /* A death */
                   4492:          if (agedc[i] < 2*AGESUP) {
                   4493:            j= rint(agedc[i]*12-agev[mw[mi][i]][i]*12); 
                   4494:            if(j==0) j=1;  /* Survives at least one month after exam */
                   4495:            else if(j<0){
                   4496:              nberr++;
                   4497:              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]);
                   4498:              j=1; /* Temporary Dangerous patch */
                   4499:              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);
                   4500:              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]);
                   4501:              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);
                   4502:            }
                   4503:            k=k+1;
                   4504:            if (j >= jmax){
                   4505:              jmax=j;
                   4506:              ijmax=i;
                   4507:            }
                   4508:            if (j <= jmin){
                   4509:              jmin=j;
                   4510:              ijmin=i;
                   4511:            }
                   4512:            sum=sum+j;
                   4513:            /*if (j<0) printf("j=%d num=%d \n",j,i);*/
                   4514:            /*    printf("%d %d %d %d\n", s[mw[mi][i]][i] ,s[mw[mi+1][i]][i],j,i);*/
                   4515:          }
                   4516:        }
                   4517:        else{
                   4518:          j= rint( (agev[mw[mi+1][i]][i]*12 - agev[mw[mi][i]][i]*12));
1.126     brouard  4519: /*       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  4520:                                        
1.227     brouard  4521:          k=k+1;
                   4522:          if (j >= jmax) {
                   4523:            jmax=j;
                   4524:            ijmax=i;
                   4525:          }
                   4526:          else if (j <= jmin){
                   4527:            jmin=j;
                   4528:            ijmin=i;
                   4529:          }
                   4530:          /*        if (j<10) printf("j=%d jmin=%d num=%d ",j,jmin,i); */
                   4531:          /*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]);*/
                   4532:          if(j<0){
                   4533:            nberr++;
                   4534:            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]);
                   4535:            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]);
                   4536:          }
                   4537:          sum=sum+j;
                   4538:        }
                   4539:        jk= j/stepm;
                   4540:        jl= j -jk*stepm;
                   4541:        ju= j -(jk+1)*stepm;
                   4542:        if(mle <=1){ /* only if we use a the linear-interpoloation pseudo-likelihood */
                   4543:          if(jl==0){
                   4544:            dh[mi][i]=jk;
                   4545:            bh[mi][i]=0;
                   4546:          }else{ /* We want a negative bias in order to only have interpolation ie
                   4547:                  * to avoid the price of an extra matrix product in likelihood */
                   4548:            dh[mi][i]=jk+1;
                   4549:            bh[mi][i]=ju;
                   4550:          }
                   4551:        }else{
                   4552:          if(jl <= -ju){
                   4553:            dh[mi][i]=jk;
                   4554:            bh[mi][i]=jl;       /* bias is positive if real duration
                   4555:                                 * is higher than the multiple of stepm and negative otherwise.
                   4556:                                 */
                   4557:          }
                   4558:          else{
                   4559:            dh[mi][i]=jk+1;
                   4560:            bh[mi][i]=ju;
                   4561:          }
                   4562:          if(dh[mi][i]==0){
                   4563:            dh[mi][i]=1; /* At least one step */
                   4564:            bh[mi][i]=ju; /* At least one step */
                   4565:            /*  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);*/
                   4566:          }
                   4567:        } /* end if mle */
1.126     brouard  4568:       }
                   4569:     } /* end wave */
                   4570:   }
                   4571:   jmean=sum/k;
                   4572:   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  4573:   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  4574: }
1.126     brouard  4575: 
                   4576: /*********** Tricode ****************************/
1.220     brouard  4577:  void tricode(int *cptcov, int *Tvar, int **nbcode, int imx, int *Ndum)
1.126     brouard  4578: {
1.144     brouard  4579:   /**< Uses cptcovn+2*cptcovprod as the number of covariates */
                   4580:   /*     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  4581:    * Boring subroutine which should only output nbcode[Tvar[j]][k]
1.224     brouard  4582:    * Tvar[5] in V2+V1+V3*age+V2*V4 is 4 (V4) even it is a time varying or quantitative variable
                   4583:    * nbcode[Tvar[5]][1]= nbcode[4][1]=0, nbcode[4][2]=1 (usually);
1.144     brouard  4584:   */
1.130     brouard  4585: 
1.145     brouard  4586:   int ij=1, k=0, j=0, i=0, maxncov=NCOVMAX;
1.136     brouard  4587:   int modmaxcovj=0; /* Modality max of covariates j */
1.145     brouard  4588:   int cptcode=0; /* Modality max of covariates j */
                   4589:   int modmincovj=0; /* Modality min of covariates j */
                   4590: 
                   4591: 
1.220     brouard  4592:   /* cptcoveff=0;  */
1.224     brouard  4593:        /* *cptcov=0; */
1.126     brouard  4594:  
1.144     brouard  4595:   for (k=1; k <= maxncov; k++) ncodemax[k]=0; /* Horrible constant again replaced by NCOVMAX */
1.126     brouard  4596: 
1.224     brouard  4597:   /* Loop on covariates without age and products and no quantitative variable */
                   4598:   /* for (j=1; j<=(cptcovs); j++) { /\* From model V1 + V2*age+ V3 + V3*V4 keeps V1 + V3 = 2 only *\/ */
1.227     brouard  4599:   for (k=1; k<=cptcovt; k++) { /* From model V1 + V2*age + V3 + V3*V4 keeps V1 + V3 = 2 only */
                   4600:     for (j=-1; (j < maxncov); j++) Ndum[j]=0;
                   4601:     if(Dummy[k]==0 && Typevar[k] !=1){ /* Dummy covariate and not age product */ 
                   4602:       switch(Fixed[k]) {
                   4603:       case 0: /* Testing on fixed dummy covariate, simple or product of fixed */
                   4604:        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*/
                   4605:          ij=(int)(covar[Tvar[k]][i]);
                   4606:          /* ij=0 or 1 or -1. Value of the covariate Tvar[j] for individual i
                   4607:           * If product of Vn*Vm, still boolean *:
                   4608:           * If it was coded 1, 2, 3, 4 should be splitted into 3 boolean variables
                   4609:           * 1 => 0 0 0, 2 => 0 0 1, 3 => 0 1 1, 4=1 0 0   */
                   4610:          /* Finds for covariate j, n=Tvar[j] of Vn . ij is the
                   4611:             modality of the nth covariate of individual i. */
                   4612:          if (ij > modmaxcovj)
                   4613:            modmaxcovj=ij; 
                   4614:          else if (ij < modmincovj) 
                   4615:            modmincovj=ij; 
                   4616:          if ((ij < -1) && (ij > NCOVMAX)){
                   4617:            printf( "Error: minimal is less than -1 or maximal is bigger than %d. Exiting. \n", NCOVMAX );
                   4618:            exit(1);
                   4619:          }else
                   4620:            Ndum[ij]++; /*counts and stores the occurence of this modality 0, 1, -1*/
                   4621:          /*  If coded 1, 2, 3 , counts the number of 1 Ndum[1], number of 2, Ndum[2], etc */
                   4622:          /*printf("i=%d ij=%d Ndum[ij]=%d imx=%d",i,ij,Ndum[ij],imx);*/
                   4623:          /* getting the maximum value of the modality of the covariate
                   4624:             (should be 0 or 1 now) Tvar[j]. If V=sex and male is coded 0 and
                   4625:             female ies 1, then modmaxcovj=1.
                   4626:          */
                   4627:        } /* end for loop on individuals i */
                   4628:        printf(" Minimal and maximal values of %d th covariate V%d: min=%d max=%d \n", k, Tvar[k], modmincovj, modmaxcovj);
                   4629:        fprintf(ficlog," Minimal and maximal values of %d th covariate V%d: min=%d max=%d \n", k, Tvar[k], modmincovj, modmaxcovj);
                   4630:        cptcode=modmaxcovj;
                   4631:        /* Ndum[0] = frequency of 0 for model-covariate j, Ndum[1] frequency of 1 etc. */
                   4632:        /*for (i=0; i<=cptcode; i++) {*/
                   4633:        for (j=modmincovj;  j<=modmaxcovj; j++) { /* j=-1 ? 0 and 1*//* For each value j of the modality of model-cov k */
                   4634:          printf("Frequencies of covariates %d ie V%d with value %d: %d\n", k, Tvar[k], j, Ndum[j]);
                   4635:          fprintf(ficlog, "Frequencies of covariates %d ie V%d with value %d: %d\n", k, Tvar[k], j, Ndum[j]);
                   4636:          if( Ndum[j] != 0 ){ /* Counts if nobody answered modality j ie empty modality, we skip it and reorder */
                   4637:            if( j != -1){
                   4638:              ncodemax[k]++;  /* ncodemax[k]= Number of modalities of the k th
                   4639:                                 covariate for which somebody answered excluding 
                   4640:                                 undefined. Usually 2: 0 and 1. */
                   4641:            }
                   4642:            ncodemaxwundef[k]++; /* ncodemax[j]= Number of modalities of the k th
                   4643:                                    covariate for which somebody answered including 
                   4644:                                    undefined. Usually 3: -1, 0 and 1. */
                   4645:          }
                   4646:          /* In fact  ncodemax[k]=2 (dichotom. variables only) but it could be more for
                   4647:           * historical reasons: 3 if coded 1, 2, 3 and 4 and Ndum[2]=0 */
                   4648:        } /* Ndum[-1] number of undefined modalities */
                   4649:        
                   4650:        /* j is a covariate, n=Tvar[j] of Vn; Fills nbcode */
                   4651:        /* For covariate j, modalities could be 1, 2, 3, 4, 5, 6, 7. 
                   4652:           If Ndum[1]=0, Ndum[2]=0, Ndum[3]= 635, Ndum[4]=0, Ndum[5]=0, Ndum[6]=27, Ndum[7]=125;
                   4653:           modmincovj=3; modmaxcovj = 7;
                   4654:           There are only 3 modalities non empty 3, 6, 7 (or 2 if 27 is too few) : ncodemax[j]=3;
                   4655:           which will be coded 0, 1, 2 which in binary on 2=3-1 digits are 0=00 1=01, 2=10;
                   4656:           defining two dummy variables: variables V1_1 and V1_2.
                   4657:           nbcode[Tvar[j]][ij]=k;
                   4658:           nbcode[Tvar[j]][1]=0;
                   4659:           nbcode[Tvar[j]][2]=1;
                   4660:           nbcode[Tvar[j]][3]=2;
                   4661:           To be continued (not working yet).
                   4662:        */
                   4663:        ij=0; /* ij is similar to i but can jump over null modalities */
                   4664:        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*/
                   4665:          if (Ndum[i] == 0) { /* If nobody responded to this modality k */
                   4666:            break;
                   4667:          }
                   4668:          ij++;
                   4669:          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*/
                   4670:          cptcode = ij; /* New max modality for covar j */
                   4671:        } /* end of loop on modality i=-1 to 1 or more */
                   4672:        break;
                   4673:       case 1: /* Testing on varying covariate, could be simple and
                   4674:               * should look at waves or product of fixed *
                   4675:               * varying. No time to test -1, assuming 0 and 1 only */
                   4676:        ij=0;
                   4677:        for(i=0; i<=1;i++){
                   4678:          nbcode[Tvar[k]][++ij]=i;
                   4679:        }
1.225     brouard  4680:        break;
1.227     brouard  4681:       default:
1.225     brouard  4682:        break;
1.227     brouard  4683:       } /* end switch */
                   4684:     } /* end dummy test */
1.225     brouard  4685:     
1.192     brouard  4686:     /*   for (k=0; k<= cptcode; k++) { /\* k=-1 ? k=0 to 1 *\//\* Could be 1 to 4 *\//\* cptcode=modmaxcovj *\/ */
                   4687:     /*         /\*recode from 0 *\/ */
                   4688:     /*                                      k is a modality. If we have model=V1+V1*sex  */
                   4689:     /*                                      then: nbcode[1][1]=0 ; nbcode[1][2]=1; nbcode[2][1]=0 ; nbcode[2][2]=1; */
                   4690:     /*                                   But if some modality were not used, it is recoded from 0 to a newer modmaxcovj=cptcode *\/ */
                   4691:     /*         } */
                   4692:     /*         /\* cptcode = ij; *\/ /\* New max modality for covar j *\/ */
                   4693:     /*         if (ij > ncodemax[j]) { */
                   4694:     /*           printf( " Error ij=%d > ncodemax[%d]=%d\n", ij, j, ncodemax[j]);  */
                   4695:     /*           fprintf(ficlog, " Error ij=%d > ncodemax[%d]=%d\n", ij, j, ncodemax[j]); */
                   4696:     /*           break; */
                   4697:     /*         } */
                   4698:     /*   }  /\* end of loop on modality k *\/ */
1.137     brouard  4699:   } /* end of loop on model-covariate j. nbcode[Tvarj][1]=0 and nbcode[Tvarj][2]=1 sets the value of covariate j*/  
                   4700:   
1.225     brouard  4701:   for (k=-1; k< maxncov; k++) Ndum[k]=0; 
1.227     brouard  4702:   /* Look at fixed dummy (single or product) covariates to check empty modalities */
1.187     brouard  4703:   for (i=1; i<=ncovmodel-2-nagesqr; i++) { /* -2, cste and age and eventually age*age */ 
1.225     brouard  4704:     /* 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  4705:     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 */ 
                   4706:     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 */
                   4707:     /* 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  4708:   } /* V4+V3+V5, Ndum[1]@5={0, 0, 1, 1, 1} */
                   4709:   
                   4710:   ij=0;
1.227     brouard  4711:   /* for (i=0; i<=  maxncov-1; i++) { /\* modmaxcovj is unknown here. Only Ndum[2(V2),3(age*V3), 5(V3*V2) 6(V1*V4) *\/ */
                   4712:   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  4713:     /*printf("Ndum[%d]=%d\n",i, Ndum[i]);*/
1.227     brouard  4714:     /* if((Ndum[i]!=0) && (i<=ncovcol)){  /\* Tvar[i] <= ncovmodel ? *\/ */
                   4715:     if(Ndum[Tvar[k]]!=0 && Dummy[k] == 0 && Typevar[k]==0){  /* Only Dummy and non empty in the model */
                   4716:       /* If product not in single variable we don't print results */
1.225     brouard  4717:       /*printf("diff Ndum[%d]=%d\n",i, Ndum[i]);*/
1.227     brouard  4718:       ++ij;
                   4719:       Tvaraff[ij]=Tvar[k]; /*For printing */
                   4720:       Tmodelind[ij]=k;
1.228   ! brouard  4721:       TmodelInvind[k]=Tvar[k]- ncovcol-nqv;
1.227     brouard  4722:       if(Fixed[k]!=0)
                   4723:         anyvaryingduminmodel=1;
                   4724:     /* }else if((Ndum[i]!=0) && (i<=ncovcol+nqv)){ */
                   4725:     /*   Tvaraff[++ij]=-10; /\* Dont'n know how to treat quantitative variables yet *\/ */
                   4726:     /* }else if((Ndum[i]!=0) && (i<=ncovcol+nqv+ntv)){ */
                   4727:     /*   Tvaraff[++ij]=i; /\*For printing (unclear) *\/ */
                   4728:     /* }else if((Ndum[i]!=0) && (i<=ncovcol+nqv+ntv+nqtv)){ */
                   4729:     /*   Tvaraff[++ij]=-20; /\* Dont'n know how to treat quantitative variables yet *\/ */
                   4730:     } 
1.225     brouard  4731:   } /* Tvaraff[1]@5 {3, 4, -20, 0, 0} Very strange */
                   4732:   /* ij--; */
                   4733:   /* cptcoveff=ij; /\*Number of total covariates*\/ */
                   4734:   *cptcov=ij; /*Number of total real effective covariates: effective
                   4735:               * because they can be excluded from the model and real
1.227     brouard  4736:               * if in the model but excluded because missing values, but how to get k from ij?*/
                   4737:   for(j=ij+1; j<= cptcovt; j++){
                   4738:     Tvaraff[j]=0;
                   4739:     Tmodelind[j]=0;
                   4740:   }
1.228   ! brouard  4741:   for(j=ntveff+1; j<= cptcovt; j++){
        !          4742:     TmodelInvind[j]=0;
        !          4743:   }
1.227     brouard  4744:   /* To be sorted */
                   4745:   ;
1.126     brouard  4746: }
                   4747: 
1.145     brouard  4748: 
1.126     brouard  4749: /*********** Health Expectancies ****************/
                   4750: 
1.127     brouard  4751: 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  4752: 
                   4753: {
                   4754:   /* Health expectancies, no variances */
1.164     brouard  4755:   int i, j, nhstepm, hstepm, h, nstepm;
1.126     brouard  4756:   int nhstepma, nstepma; /* Decreasing with age */
                   4757:   double age, agelim, hf;
                   4758:   double ***p3mat;
                   4759:   double eip;
                   4760: 
                   4761:   pstamp(ficreseij);
                   4762:   fprintf(ficreseij,"# (a) Life expectancies by health status at initial age and (b) health expectancies by health status at initial age\n");
                   4763:   fprintf(ficreseij,"# Age");
                   4764:   for(i=1; i<=nlstate;i++){
                   4765:     for(j=1; j<=nlstate;j++){
                   4766:       fprintf(ficreseij," e%1d%1d ",i,j);
                   4767:     }
                   4768:     fprintf(ficreseij," e%1d. ",i);
                   4769:   }
                   4770:   fprintf(ficreseij,"\n");
                   4771: 
                   4772:   
                   4773:   if(estepm < stepm){
                   4774:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   4775:   }
                   4776:   else  hstepm=estepm;   
                   4777:   /* We compute the life expectancy from trapezoids spaced every estepm months
                   4778:    * This is mainly to measure the difference between two models: for example
                   4779:    * if stepm=24 months pijx are given only every 2 years and by summing them
                   4780:    * we are calculating an estimate of the Life Expectancy assuming a linear 
                   4781:    * progression in between and thus overestimating or underestimating according
                   4782:    * to the curvature of the survival function. If, for the same date, we 
                   4783:    * estimate the model with stepm=1 month, we can keep estepm to 24 months
                   4784:    * to compare the new estimate of Life expectancy with the same linear 
                   4785:    * hypothesis. A more precise result, taking into account a more precise
                   4786:    * curvature will be obtained if estepm is as small as stepm. */
                   4787: 
                   4788:   /* For example we decided to compute the life expectancy with the smallest unit */
                   4789:   /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
                   4790:      nhstepm is the number of hstepm from age to agelim 
                   4791:      nstepm is the number of stepm from age to agelin. 
                   4792:      Look at hpijx to understand the reason of that which relies in memory size
                   4793:      and note for a fixed period like estepm months */
                   4794:   /* We decided (b) to get a life expectancy respecting the most precise curvature of the
                   4795:      survival function given by stepm (the optimization length). Unfortunately it
                   4796:      means that if the survival funtion is printed only each two years of age and if
                   4797:      you sum them up and add 1 year (area under the trapezoids) you won't get the same 
                   4798:      results. So we changed our mind and took the option of the best precision.
                   4799:   */
                   4800:   hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
                   4801: 
                   4802:   agelim=AGESUP;
                   4803:   /* If stepm=6 months */
                   4804:     /* Computed by stepm unit matrices, product of hstepm matrices, stored
                   4805:        in an array of nhstepm length: nhstepm=10, hstepm=4, stepm=6 months */
                   4806:     
                   4807: /* nhstepm age range expressed in number of stepm */
                   4808:   nstepm=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
                   4809:   /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   4810:   /* if (stepm >= YEARM) hstepm=1;*/
                   4811:   nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
                   4812:   p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   4813: 
                   4814:   for (age=bage; age<=fage; age ++){ 
                   4815:     nstepma=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
                   4816:     /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   4817:     /* if (stepm >= YEARM) hstepm=1;*/
                   4818:     nhstepma = nstepma/hstepm;/* Expressed in hstepm, typically nhstepma=40/4=10 */
                   4819: 
                   4820:     /* If stepm=6 months */
                   4821:     /* Computed by stepm unit matrices, product of hstepma matrices, stored
                   4822:        in an array of nhstepma length: nhstepma=10, hstepm=4, stepm=6 months */
                   4823:     
                   4824:     hpxij(p3mat,nhstepma,age,hstepm,x,nlstate,stepm,oldm, savm, cij);  
                   4825:     
                   4826:     hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
                   4827:     
                   4828:     printf("%d|",(int)age);fflush(stdout);
                   4829:     fprintf(ficlog,"%d|",(int)age);fflush(ficlog);
                   4830:     
                   4831:     /* Computing expectancies */
                   4832:     for(i=1; i<=nlstate;i++)
                   4833:       for(j=1; j<=nlstate;j++)
                   4834:        for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){
                   4835:          eij[i][j][(int)age] += (p3mat[i][j][h]+p3mat[i][j][h+1])/2.0*hf;
                   4836:          
                   4837:          /* 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]);*/
                   4838: 
                   4839:        }
                   4840: 
                   4841:     fprintf(ficreseij,"%3.0f",age );
                   4842:     for(i=1; i<=nlstate;i++){
                   4843:       eip=0;
                   4844:       for(j=1; j<=nlstate;j++){
                   4845:        eip +=eij[i][j][(int)age];
                   4846:        fprintf(ficreseij,"%9.4f", eij[i][j][(int)age] );
                   4847:       }
                   4848:       fprintf(ficreseij,"%9.4f", eip );
                   4849:     }
                   4850:     fprintf(ficreseij,"\n");
                   4851:     
                   4852:   }
                   4853:   free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   4854:   printf("\n");
                   4855:   fprintf(ficlog,"\n");
                   4856:   
                   4857: }
                   4858: 
1.127     brouard  4859: 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  4860: 
                   4861: {
                   4862:   /* Covariances of health expectancies eij and of total life expectancies according
1.222     brouard  4863:      to initial status i, ei. .
1.126     brouard  4864:   */
                   4865:   int i, j, nhstepm, hstepm, h, nstepm, k, cptj, cptj2, i2, j2, ij, ji;
                   4866:   int nhstepma, nstepma; /* Decreasing with age */
                   4867:   double age, agelim, hf;
                   4868:   double ***p3matp, ***p3matm, ***varhe;
                   4869:   double **dnewm,**doldm;
                   4870:   double *xp, *xm;
                   4871:   double **gp, **gm;
                   4872:   double ***gradg, ***trgradg;
                   4873:   int theta;
                   4874: 
                   4875:   double eip, vip;
                   4876: 
                   4877:   varhe=ma3x(1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int) fage);
                   4878:   xp=vector(1,npar);
                   4879:   xm=vector(1,npar);
                   4880:   dnewm=matrix(1,nlstate*nlstate,1,npar);
                   4881:   doldm=matrix(1,nlstate*nlstate,1,nlstate*nlstate);
                   4882:   
                   4883:   pstamp(ficresstdeij);
                   4884:   fprintf(ficresstdeij,"# Health expectancies with standard errors\n");
                   4885:   fprintf(ficresstdeij,"# Age");
                   4886:   for(i=1; i<=nlstate;i++){
                   4887:     for(j=1; j<=nlstate;j++)
                   4888:       fprintf(ficresstdeij," e%1d%1d (SE)",i,j);
                   4889:     fprintf(ficresstdeij," e%1d. ",i);
                   4890:   }
                   4891:   fprintf(ficresstdeij,"\n");
                   4892: 
                   4893:   pstamp(ficrescveij);
                   4894:   fprintf(ficrescveij,"# Subdiagonal matrix of covariances of health expectancies by age: cov(eij,ekl)\n");
                   4895:   fprintf(ficrescveij,"# Age");
                   4896:   for(i=1; i<=nlstate;i++)
                   4897:     for(j=1; j<=nlstate;j++){
                   4898:       cptj= (j-1)*nlstate+i;
                   4899:       for(i2=1; i2<=nlstate;i2++)
                   4900:        for(j2=1; j2<=nlstate;j2++){
                   4901:          cptj2= (j2-1)*nlstate+i2;
                   4902:          if(cptj2 <= cptj)
                   4903:            fprintf(ficrescveij,"  %1d%1d,%1d%1d",i,j,i2,j2);
                   4904:        }
                   4905:     }
                   4906:   fprintf(ficrescveij,"\n");
                   4907:   
                   4908:   if(estepm < stepm){
                   4909:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   4910:   }
                   4911:   else  hstepm=estepm;   
                   4912:   /* We compute the life expectancy from trapezoids spaced every estepm months
                   4913:    * This is mainly to measure the difference between two models: for example
                   4914:    * if stepm=24 months pijx are given only every 2 years and by summing them
                   4915:    * we are calculating an estimate of the Life Expectancy assuming a linear 
                   4916:    * progression in between and thus overestimating or underestimating according
                   4917:    * to the curvature of the survival function. If, for the same date, we 
                   4918:    * estimate the model with stepm=1 month, we can keep estepm to 24 months
                   4919:    * to compare the new estimate of Life expectancy with the same linear 
                   4920:    * hypothesis. A more precise result, taking into account a more precise
                   4921:    * curvature will be obtained if estepm is as small as stepm. */
                   4922: 
                   4923:   /* For example we decided to compute the life expectancy with the smallest unit */
                   4924:   /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
                   4925:      nhstepm is the number of hstepm from age to agelim 
                   4926:      nstepm is the number of stepm from age to agelin. 
                   4927:      Look at hpijx to understand the reason of that which relies in memory size
                   4928:      and note for a fixed period like estepm months */
                   4929:   /* We decided (b) to get a life expectancy respecting the most precise curvature of the
                   4930:      survival function given by stepm (the optimization length). Unfortunately it
                   4931:      means that if the survival funtion is printed only each two years of age and if
                   4932:      you sum them up and add 1 year (area under the trapezoids) you won't get the same 
                   4933:      results. So we changed our mind and took the option of the best precision.
                   4934:   */
                   4935:   hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
                   4936: 
                   4937:   /* If stepm=6 months */
                   4938:   /* nhstepm age range expressed in number of stepm */
                   4939:   agelim=AGESUP;
                   4940:   nstepm=(int) rint((agelim-bage)*YEARM/stepm); 
                   4941:   /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   4942:   /* if (stepm >= YEARM) hstepm=1;*/
                   4943:   nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
                   4944:   
                   4945:   p3matp=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   4946:   p3matm=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   4947:   gradg=ma3x(0,nhstepm,1,npar,1,nlstate*nlstate);
                   4948:   trgradg =ma3x(0,nhstepm,1,nlstate*nlstate,1,npar);
                   4949:   gp=matrix(0,nhstepm,1,nlstate*nlstate);
                   4950:   gm=matrix(0,nhstepm,1,nlstate*nlstate);
                   4951: 
                   4952:   for (age=bage; age<=fage; age ++){ 
                   4953:     nstepma=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
                   4954:     /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   4955:     /* if (stepm >= YEARM) hstepm=1;*/
                   4956:     nhstepma = nstepma/hstepm;/* Expressed in hstepm, typically nhstepma=40/4=10 */
1.218     brouard  4957:                
1.126     brouard  4958:     /* If stepm=6 months */
                   4959:     /* Computed by stepm unit matrices, product of hstepma matrices, stored
                   4960:        in an array of nhstepma length: nhstepma=10, hstepm=4, stepm=6 months */
                   4961:     
                   4962:     hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
1.218     brouard  4963:                
1.126     brouard  4964:     /* Computing  Variances of health expectancies */
                   4965:     /* Gradient is computed with plus gp and minus gm. Code is duplicated in order to
                   4966:        decrease memory allocation */
                   4967:     for(theta=1; theta <=npar; theta++){
                   4968:       for(i=1; i<=npar; i++){ 
1.222     brouard  4969:        xp[i] = x[i] + (i==theta ?delti[theta]:0);
                   4970:        xm[i] = x[i] - (i==theta ?delti[theta]:0);
1.126     brouard  4971:       }
                   4972:       hpxij(p3matp,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, cij);  
                   4973:       hpxij(p3matm,nhstepm,age,hstepm,xm,nlstate,stepm,oldm,savm, cij);  
1.218     brouard  4974:                        
1.126     brouard  4975:       for(j=1; j<= nlstate; j++){
1.222     brouard  4976:        for(i=1; i<=nlstate; i++){
                   4977:          for(h=0; h<=nhstepm-1; h++){
                   4978:            gp[h][(j-1)*nlstate + i] = (p3matp[i][j][h]+p3matp[i][j][h+1])/2.;
                   4979:            gm[h][(j-1)*nlstate + i] = (p3matm[i][j][h]+p3matm[i][j][h+1])/2.;
                   4980:          }
                   4981:        }
1.126     brouard  4982:       }
1.218     brouard  4983:                        
1.126     brouard  4984:       for(ij=1; ij<= nlstate*nlstate; ij++)
1.222     brouard  4985:        for(h=0; h<=nhstepm-1; h++){
                   4986:          gradg[h][theta][ij]= (gp[h][ij]-gm[h][ij])/2./delti[theta];
                   4987:        }
1.126     brouard  4988:     }/* End theta */
                   4989:     
                   4990:     
                   4991:     for(h=0; h<=nhstepm-1; h++)
                   4992:       for(j=1; j<=nlstate*nlstate;j++)
1.222     brouard  4993:        for(theta=1; theta <=npar; theta++)
                   4994:          trgradg[h][j][theta]=gradg[h][theta][j];
1.126     brouard  4995:     
1.218     brouard  4996:                
1.222     brouard  4997:     for(ij=1;ij<=nlstate*nlstate;ij++)
1.126     brouard  4998:       for(ji=1;ji<=nlstate*nlstate;ji++)
1.222     brouard  4999:        varhe[ij][ji][(int)age] =0.;
1.218     brouard  5000:                
1.222     brouard  5001:     printf("%d|",(int)age);fflush(stdout);
                   5002:     fprintf(ficlog,"%d|",(int)age);fflush(ficlog);
                   5003:     for(h=0;h<=nhstepm-1;h++){
1.126     brouard  5004:       for(k=0;k<=nhstepm-1;k++){
1.222     brouard  5005:        matprod2(dnewm,trgradg[h],1,nlstate*nlstate,1,npar,1,npar,matcov);
                   5006:        matprod2(doldm,dnewm,1,nlstate*nlstate,1,npar,1,nlstate*nlstate,gradg[k]);
                   5007:        for(ij=1;ij<=nlstate*nlstate;ij++)
                   5008:          for(ji=1;ji<=nlstate*nlstate;ji++)
                   5009:            varhe[ij][ji][(int)age] += doldm[ij][ji]*hf*hf;
1.126     brouard  5010:       }
                   5011:     }
1.218     brouard  5012:                
1.126     brouard  5013:     /* Computing expectancies */
                   5014:     hpxij(p3matm,nhstepm,age,hstepm,x,nlstate,stepm,oldm, savm, cij);  
                   5015:     for(i=1; i<=nlstate;i++)
                   5016:       for(j=1; j<=nlstate;j++)
1.222     brouard  5017:        for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){
                   5018:          eij[i][j][(int)age] += (p3matm[i][j][h]+p3matm[i][j][h+1])/2.0*hf;
1.218     brouard  5019:                                        
1.222     brouard  5020:          /* 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  5021:                                        
1.222     brouard  5022:        }
1.218     brouard  5023:                
1.126     brouard  5024:     fprintf(ficresstdeij,"%3.0f",age );
                   5025:     for(i=1; i<=nlstate;i++){
                   5026:       eip=0.;
                   5027:       vip=0.;
                   5028:       for(j=1; j<=nlstate;j++){
1.222     brouard  5029:        eip += eij[i][j][(int)age];
                   5030:        for(k=1; k<=nlstate;k++) /* Sum on j and k of cov(eij,eik) */
                   5031:          vip += varhe[(j-1)*nlstate+i][(k-1)*nlstate+i][(int)age];
                   5032:        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  5033:       }
                   5034:       fprintf(ficresstdeij," %9.4f (%.4f)", eip, sqrt(vip));
                   5035:     }
                   5036:     fprintf(ficresstdeij,"\n");
1.218     brouard  5037:                
1.126     brouard  5038:     fprintf(ficrescveij,"%3.0f",age );
                   5039:     for(i=1; i<=nlstate;i++)
                   5040:       for(j=1; j<=nlstate;j++){
1.222     brouard  5041:        cptj= (j-1)*nlstate+i;
                   5042:        for(i2=1; i2<=nlstate;i2++)
                   5043:          for(j2=1; j2<=nlstate;j2++){
                   5044:            cptj2= (j2-1)*nlstate+i2;
                   5045:            if(cptj2 <= cptj)
                   5046:              fprintf(ficrescveij," %.4f", varhe[cptj][cptj2][(int)age]);
                   5047:          }
1.126     brouard  5048:       }
                   5049:     fprintf(ficrescveij,"\n");
1.218     brouard  5050:                
1.126     brouard  5051:   }
                   5052:   free_matrix(gm,0,nhstepm,1,nlstate*nlstate);
                   5053:   free_matrix(gp,0,nhstepm,1,nlstate*nlstate);
                   5054:   free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate*nlstate);
                   5055:   free_ma3x(trgradg,0,nhstepm,1,nlstate*nlstate,1,npar);
                   5056:   free_ma3x(p3matm,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5057:   free_ma3x(p3matp,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5058:   printf("\n");
                   5059:   fprintf(ficlog,"\n");
1.218     brouard  5060:        
1.126     brouard  5061:   free_vector(xm,1,npar);
                   5062:   free_vector(xp,1,npar);
                   5063:   free_matrix(dnewm,1,nlstate*nlstate,1,npar);
                   5064:   free_matrix(doldm,1,nlstate*nlstate,1,nlstate*nlstate);
                   5065:   free_ma3x(varhe,1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int)fage);
                   5066: }
1.218     brouard  5067:  
1.126     brouard  5068: /************ Variance ******************/
1.209     brouard  5069:  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  5070:  {
                   5071:    /* Variance of health expectancies */
                   5072:    /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);*/
                   5073:    /* double **newm;*/
                   5074:    /* int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav)*/
                   5075:   
                   5076:    /* int movingaverage(); */
                   5077:    double **dnewm,**doldm;
                   5078:    double **dnewmp,**doldmp;
                   5079:    int i, j, nhstepm, hstepm, h, nstepm ;
                   5080:    int k;
                   5081:    double *xp;
                   5082:    double **gp, **gm;  /* for var eij */
                   5083:    double ***gradg, ***trgradg; /*for var eij */
                   5084:    double **gradgp, **trgradgp; /* for var p point j */
                   5085:    double *gpp, *gmp; /* for var p point j */
                   5086:    double **varppt; /* for var p point j nlstate to nlstate+ndeath */
                   5087:    double ***p3mat;
                   5088:    double age,agelim, hf;
                   5089:    /* double ***mobaverage; */
                   5090:    int theta;
                   5091:    char digit[4];
                   5092:    char digitp[25];
                   5093: 
                   5094:    char fileresprobmorprev[FILENAMELENGTH];
                   5095: 
                   5096:    if(popbased==1){
                   5097:      if(mobilav!=0)
                   5098:        strcpy(digitp,"-POPULBASED-MOBILAV_");
                   5099:      else strcpy(digitp,"-POPULBASED-NOMOBIL_");
                   5100:    }
                   5101:    else 
                   5102:      strcpy(digitp,"-STABLBASED_");
1.126     brouard  5103: 
1.218     brouard  5104:    /* if (mobilav!=0) { */
                   5105:    /*   mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   5106:    /*   if (movingaverage(probs, bage, fage, mobaverage,mobilav)!=0){ */
                   5107:    /*     fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav); */
                   5108:    /*     printf(" Error in movingaverage mobilav=%d\n",mobilav); */
                   5109:    /*   } */
                   5110:    /* } */
                   5111: 
                   5112:    strcpy(fileresprobmorprev,"PRMORPREV-"); 
                   5113:    sprintf(digit,"%-d",ij);
                   5114:    /*printf("DIGIT=%s, ij=%d ijr=%-d|\n",digit, ij,ij);*/
                   5115:    strcat(fileresprobmorprev,digit); /* Tvar to be done */
                   5116:    strcat(fileresprobmorprev,digitp); /* Popbased or not, mobilav or not */
                   5117:    strcat(fileresprobmorprev,fileresu);
                   5118:    if((ficresprobmorprev=fopen(fileresprobmorprev,"w"))==NULL) {
                   5119:      printf("Problem with resultfile: %s\n", fileresprobmorprev);
                   5120:      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobmorprev);
                   5121:    }
                   5122:    printf("Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
                   5123:    fprintf(ficlog,"Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
                   5124:    pstamp(ficresprobmorprev);
                   5125:    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);
                   5126:    fprintf(ficresprobmorprev,"# Age cov=%-d",ij);
                   5127:    for(j=nlstate+1; j<=(nlstate+ndeath);j++){
                   5128:      fprintf(ficresprobmorprev," p.%-d SE",j);
                   5129:      for(i=1; i<=nlstate;i++)
                   5130:        fprintf(ficresprobmorprev," w%1d p%-d%-d",i,i,j);
                   5131:    }  
                   5132:    fprintf(ficresprobmorprev,"\n");
                   5133:   
                   5134:    fprintf(ficgp,"\n# Routine varevsij");
                   5135:    fprintf(ficgp,"\nunset title \n");
                   5136:    /* fprintf(fichtm, "#Local time at start: %s", strstart);*/
                   5137:    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");
                   5138:    fprintf(fichtm,"\n<br>%s  <br>\n",digitp);
                   5139:    /*   } */
                   5140:    varppt = matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   5141:    pstamp(ficresvij);
                   5142:    fprintf(ficresvij,"# Variance and covariance of health expectancies e.j \n#  (weighted average of eij where weights are ");
                   5143:    if(popbased==1)
                   5144:      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);
                   5145:    else
                   5146:      fprintf(ficresvij,"the age specific period (stable) prevalences in each health state \n");
                   5147:    fprintf(ficresvij,"# Age");
                   5148:    for(i=1; i<=nlstate;i++)
                   5149:      for(j=1; j<=nlstate;j++)
                   5150:        fprintf(ficresvij," Cov(e.%1d, e.%1d)",i,j);
                   5151:    fprintf(ficresvij,"\n");
                   5152: 
                   5153:    xp=vector(1,npar);
                   5154:    dnewm=matrix(1,nlstate,1,npar);
                   5155:    doldm=matrix(1,nlstate,1,nlstate);
                   5156:    dnewmp= matrix(nlstate+1,nlstate+ndeath,1,npar);
                   5157:    doldmp= matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   5158: 
                   5159:    gradgp=matrix(1,npar,nlstate+1,nlstate+ndeath);
                   5160:    gpp=vector(nlstate+1,nlstate+ndeath);
                   5161:    gmp=vector(nlstate+1,nlstate+ndeath);
                   5162:    trgradgp =matrix(nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
1.126     brouard  5163:   
1.218     brouard  5164:    if(estepm < stepm){
                   5165:      printf ("Problem %d lower than %d\n",estepm, stepm);
                   5166:    }
                   5167:    else  hstepm=estepm;   
                   5168:    /* For example we decided to compute the life expectancy with the smallest unit */
                   5169:    /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
                   5170:       nhstepm is the number of hstepm from age to agelim 
                   5171:       nstepm is the number of stepm from age to agelim. 
                   5172:       Look at function hpijx to understand why because of memory size limitations, 
                   5173:       we decided (b) to get a life expectancy respecting the most precise curvature of the
                   5174:       survival function given by stepm (the optimization length). Unfortunately it
                   5175:       means that if the survival funtion is printed every two years of age and if
                   5176:       you sum them up and add 1 year (area under the trapezoids) you won't get the same 
                   5177:       results. So we changed our mind and took the option of the best precision.
                   5178:    */
                   5179:    hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
                   5180:    agelim = AGESUP;
                   5181:    for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
                   5182:      nstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
                   5183:      nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
                   5184:      p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5185:      gradg=ma3x(0,nhstepm,1,npar,1,nlstate);
                   5186:      gp=matrix(0,nhstepm,1,nlstate);
                   5187:      gm=matrix(0,nhstepm,1,nlstate);
                   5188:                
                   5189:                
                   5190:      for(theta=1; theta <=npar; theta++){
                   5191:        for(i=1; i<=npar; i++){ /* Computes gradient x + delta*/
                   5192:         xp[i] = x[i] + (i==theta ?delti[theta]:0);
                   5193:        }
                   5194:                        
                   5195:        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij);
                   5196:                        
                   5197:        if (popbased==1) {
                   5198:         if(mobilav ==0){
                   5199:           for(i=1; i<=nlstate;i++)
                   5200:             prlim[i][i]=probs[(int)age][i][ij];
                   5201:         }else{ /* mobilav */ 
                   5202:           for(i=1; i<=nlstate;i++)
                   5203:             prlim[i][i]=mobaverage[(int)age][i][ij];
                   5204:         }
                   5205:        }
                   5206:                        
                   5207:        hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);  /* Returns p3mat[i][j][h] for h=1 to nhstepm */
                   5208:        for(j=1; j<= nlstate; j++){
                   5209:         for(h=0; h<=nhstepm; h++){
                   5210:           for(i=1, gp[h][j]=0.;i<=nlstate;i++)
                   5211:             gp[h][j] += prlim[i][i]*p3mat[i][j][h];
                   5212:         }
                   5213:        }
                   5214:        /* Next for computing probability of death (h=1 means
                   5215:          computed over hstepm matrices product = hstepm*stepm months) 
                   5216:          as a weighted average of prlim.
                   5217:        */
                   5218:        for(j=nlstate+1;j<=nlstate+ndeath;j++){
                   5219:         for(i=1,gpp[j]=0.; i<= nlstate; i++)
                   5220:           gpp[j] += prlim[i][i]*p3mat[i][j][1];
                   5221:        }    
                   5222:        /* end probability of death */
                   5223:                        
                   5224:        for(i=1; i<=npar; i++) /* Computes gradient x - delta */
                   5225:         xp[i] = x[i] - (i==theta ?delti[theta]:0);
                   5226:                        
                   5227:        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp, ij);
                   5228:                        
                   5229:        if (popbased==1) {
                   5230:         if(mobilav ==0){
                   5231:           for(i=1; i<=nlstate;i++)
                   5232:             prlim[i][i]=probs[(int)age][i][ij];
                   5233:         }else{ /* mobilav */ 
                   5234:           for(i=1; i<=nlstate;i++)
                   5235:             prlim[i][i]=mobaverage[(int)age][i][ij];
                   5236:         }
                   5237:        }
                   5238:                        
                   5239:        hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);  
                   5240:                        
                   5241:        for(j=1; j<= nlstate; j++){  /* Sum of wi * eij = e.j */
                   5242:         for(h=0; h<=nhstepm; h++){
                   5243:           for(i=1, gm[h][j]=0.;i<=nlstate;i++)
                   5244:             gm[h][j] += prlim[i][i]*p3mat[i][j][h];
                   5245:         }
                   5246:        }
                   5247:        /* This for computing probability of death (h=1 means
                   5248:          computed over hstepm matrices product = hstepm*stepm months) 
                   5249:          as a weighted average of prlim.
                   5250:        */
                   5251:        for(j=nlstate+1;j<=nlstate+ndeath;j++){
                   5252:         for(i=1,gmp[j]=0.; i<= nlstate; i++)
                   5253:           gmp[j] += prlim[i][i]*p3mat[i][j][1];
                   5254:        }    
                   5255:        /* end probability of death */
                   5256:                        
                   5257:        for(j=1; j<= nlstate; j++) /* vareij */
                   5258:         for(h=0; h<=nhstepm; h++){
                   5259:           gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta];
                   5260:         }
                   5261:                        
                   5262:        for(j=nlstate+1; j<= nlstate+ndeath; j++){ /* var mu */
                   5263:         gradgp[theta][j]= (gpp[j]-gmp[j])/2./delti[theta];
                   5264:        }
                   5265:                        
                   5266:      } /* End theta */
                   5267:                
                   5268:      trgradg =ma3x(0,nhstepm,1,nlstate,1,npar); /* veij */
                   5269:                
                   5270:      for(h=0; h<=nhstepm; h++) /* veij */
                   5271:        for(j=1; j<=nlstate;j++)
                   5272:         for(theta=1; theta <=npar; theta++)
                   5273:           trgradg[h][j][theta]=gradg[h][theta][j];
                   5274:                
                   5275:      for(j=nlstate+1; j<=nlstate+ndeath;j++) /* mu */
                   5276:        for(theta=1; theta <=npar; theta++)
                   5277:         trgradgp[j][theta]=gradgp[theta][j];
                   5278:                
                   5279:                
                   5280:      hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
                   5281:      for(i=1;i<=nlstate;i++)
                   5282:        for(j=1;j<=nlstate;j++)
                   5283:         vareij[i][j][(int)age] =0.;
                   5284:                
                   5285:      for(h=0;h<=nhstepm;h++){
                   5286:        for(k=0;k<=nhstepm;k++){
                   5287:         matprod2(dnewm,trgradg[h],1,nlstate,1,npar,1,npar,matcov);
                   5288:         matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg[k]);
                   5289:         for(i=1;i<=nlstate;i++)
                   5290:           for(j=1;j<=nlstate;j++)
                   5291:             vareij[i][j][(int)age] += doldm[i][j]*hf*hf;
                   5292:        }
                   5293:      }
                   5294:                
                   5295:      /* pptj */
                   5296:      matprod2(dnewmp,trgradgp,nlstate+1,nlstate+ndeath,1,npar,1,npar,matcov);
                   5297:      matprod2(doldmp,dnewmp,nlstate+1,nlstate+ndeath,1,npar,nlstate+1,nlstate+ndeath,gradgp);
                   5298:      for(j=nlstate+1;j<=nlstate+ndeath;j++)
                   5299:        for(i=nlstate+1;i<=nlstate+ndeath;i++)
                   5300:         varppt[j][i]=doldmp[j][i];
                   5301:      /* end ppptj */
                   5302:      /*  x centered again */
                   5303:                
                   5304:      prevalim(prlim,nlstate,x,age,oldm,savm,ftolpl,ncvyearp,ij);
                   5305:                
                   5306:      if (popbased==1) {
                   5307:        if(mobilav ==0){
                   5308:         for(i=1; i<=nlstate;i++)
                   5309:           prlim[i][i]=probs[(int)age][i][ij];
                   5310:        }else{ /* mobilav */ 
                   5311:         for(i=1; i<=nlstate;i++)
                   5312:           prlim[i][i]=mobaverage[(int)age][i][ij];
                   5313:        }
                   5314:      }
                   5315:                
                   5316:      /* This for computing probability of death (h=1 means
                   5317:        computed over hstepm (estepm) matrices product = hstepm*stepm months) 
                   5318:        as a weighted average of prlim.
                   5319:      */
                   5320:      hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm,savm, ij);  
                   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:      fprintf(ficresprobmorprev,"%3d %d ",(int) age, ij);
                   5328:      for(j=nlstate+1; j<=(nlstate+ndeath);j++){
                   5329:        fprintf(ficresprobmorprev," %11.3e %11.3e",gmp[j], sqrt(varppt[j][j]));
                   5330:        for(i=1; i<=nlstate;i++){
                   5331:         fprintf(ficresprobmorprev," %11.3e %11.3e ",prlim[i][i],p3mat[i][j][1]);
                   5332:        }
                   5333:      } 
                   5334:      fprintf(ficresprobmorprev,"\n");
                   5335:                
                   5336:      fprintf(ficresvij,"%.0f ",age );
                   5337:      for(i=1; i<=nlstate;i++)
                   5338:        for(j=1; j<=nlstate;j++){
                   5339:         fprintf(ficresvij," %.4f", vareij[i][j][(int)age]);
                   5340:        }
                   5341:      fprintf(ficresvij,"\n");
                   5342:      free_matrix(gp,0,nhstepm,1,nlstate);
                   5343:      free_matrix(gm,0,nhstepm,1,nlstate);
                   5344:      free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate);
                   5345:      free_ma3x(trgradg,0,nhstepm,1,nlstate,1,npar);
                   5346:      free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5347:    } /* End age */
                   5348:    free_vector(gpp,nlstate+1,nlstate+ndeath);
                   5349:    free_vector(gmp,nlstate+1,nlstate+ndeath);
                   5350:    free_matrix(gradgp,1,npar,nlstate+1,nlstate+ndeath);
                   5351:    free_matrix(trgradgp,nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
                   5352:    /* fprintf(ficgp,"\nunset parametric;unset label; set ter png small size 320, 240"); */
                   5353:    fprintf(ficgp,"\nunset parametric;unset label; set ter svg size 640, 480");
                   5354:    /* for(j=nlstate+1; j<= nlstate+ndeath; j++){ *//* Only the first actually */
                   5355:    fprintf(ficgp,"\n set log y; unset log x;set xlabel \"Age\"; set ylabel \"Force of mortality (year-1)\";");
                   5356:    fprintf(ficgp,"\nset out \"%s%s.svg\";",subdirf3(optionfilefiname,"VARMUPTJGR-",digitp),digit);
                   5357:    /*   fprintf(ficgp,"\n plot \"%s\"  u 1:($3*%6.3f) not w l 1 ",fileresprobmorprev,YEARM/estepm); */
                   5358:    /*   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)*%6.3f) t \"95\%% interval\" w l 2 ",fileresprobmorprev,YEARM/estepm); */
                   5359:    /*   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)*%6.3f) not w l 2 ",fileresprobmorprev,YEARM/estepm); */
                   5360:    fprintf(ficgp,"\n plot \"%s\"  u 1:($3) not w l lt 1 ",subdirf(fileresprobmorprev));
                   5361:    fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)) t \"95%% interval\" w l lt 2 ",subdirf(fileresprobmorprev));
                   5362:    fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)) not w l lt 2 ",subdirf(fileresprobmorprev));
                   5363:    fprintf(fichtm,"\n<br> File (multiple files are possible if covariates are present): <A href=\"%s\">%s</a>\n",subdirf(fileresprobmorprev),subdirf(fileresprobmorprev));
                   5364:    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);
                   5365:    /*  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  5366:     */
1.218     brouard  5367:    /*   fprintf(ficgp,"\nset out \"varmuptjgr%s%s%s.svg\";replot;",digitp,optionfilefiname,digit); */
                   5368:    fprintf(ficgp,"\nset out;\nset out \"%s%s.svg\";replot;set out;\n",subdirf3(optionfilefiname,"VARMUPTJGR-",digitp),digit);
1.126     brouard  5369: 
1.218     brouard  5370:    free_vector(xp,1,npar);
                   5371:    free_matrix(doldm,1,nlstate,1,nlstate);
                   5372:    free_matrix(dnewm,1,nlstate,1,npar);
                   5373:    free_matrix(doldmp,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   5374:    free_matrix(dnewmp,nlstate+1,nlstate+ndeath,1,npar);
                   5375:    free_matrix(varppt,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   5376:    /* if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   5377:    fclose(ficresprobmorprev);
                   5378:    fflush(ficgp);
                   5379:    fflush(fichtm); 
                   5380:  }  /* end varevsij */
1.126     brouard  5381: 
                   5382: /************ Variance of prevlim ******************/
1.209     brouard  5383:  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  5384: {
1.205     brouard  5385:   /* Variance of prevalence limit  for each state ij using current parameters x[] and estimates of neighbourhood give by delti*/
1.126     brouard  5386:   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double **savm,double ftolpl);*/
1.164     brouard  5387: 
1.126     brouard  5388:   double **dnewm,**doldm;
                   5389:   int i, j, nhstepm, hstepm;
                   5390:   double *xp;
                   5391:   double *gp, *gm;
                   5392:   double **gradg, **trgradg;
1.208     brouard  5393:   double **mgm, **mgp;
1.126     brouard  5394:   double age,agelim;
                   5395:   int theta;
                   5396:   
                   5397:   pstamp(ficresvpl);
                   5398:   fprintf(ficresvpl,"# Standard deviation of period (stable) prevalences \n");
                   5399:   fprintf(ficresvpl,"# Age");
                   5400:   for(i=1; i<=nlstate;i++)
                   5401:       fprintf(ficresvpl," %1d-%1d",i,i);
                   5402:   fprintf(ficresvpl,"\n");
                   5403: 
                   5404:   xp=vector(1,npar);
                   5405:   dnewm=matrix(1,nlstate,1,npar);
                   5406:   doldm=matrix(1,nlstate,1,nlstate);
                   5407:   
                   5408:   hstepm=1*YEARM; /* Every year of age */
                   5409:   hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */ 
                   5410:   agelim = AGESUP;
                   5411:   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
                   5412:     nhstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
                   5413:     if (stepm >= YEARM) hstepm=1;
                   5414:     nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
                   5415:     gradg=matrix(1,npar,1,nlstate);
1.208     brouard  5416:     mgp=matrix(1,npar,1,nlstate);
                   5417:     mgm=matrix(1,npar,1,nlstate);
1.126     brouard  5418:     gp=vector(1,nlstate);
                   5419:     gm=vector(1,nlstate);
                   5420: 
                   5421:     for(theta=1; theta <=npar; theta++){
                   5422:       for(i=1; i<=npar; i++){ /* Computes gradient */
                   5423:        xp[i] = x[i] + (i==theta ?delti[theta]:0);
                   5424:       }
1.209     brouard  5425:       if((int)age==79 ||(int)age== 80 ||(int)age== 81 )
                   5426:        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij);
                   5427:       else
                   5428:        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij);
1.208     brouard  5429:       for(i=1;i<=nlstate;i++){
1.126     brouard  5430:        gp[i] = prlim[i][i];
1.208     brouard  5431:        mgp[theta][i] = prlim[i][i];
                   5432:       }
1.126     brouard  5433:       for(i=1; i<=npar; i++) /* Computes gradient */
                   5434:        xp[i] = x[i] - (i==theta ?delti[theta]:0);
1.209     brouard  5435:       if((int)age==79 ||(int)age== 80 ||(int)age== 81 )
                   5436:        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij);
                   5437:       else
                   5438:        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij);
1.208     brouard  5439:       for(i=1;i<=nlstate;i++){
1.126     brouard  5440:        gm[i] = prlim[i][i];
1.208     brouard  5441:        mgm[theta][i] = prlim[i][i];
                   5442:       }
1.126     brouard  5443:       for(i=1;i<=nlstate;i++)
                   5444:        gradg[theta][i]= (gp[i]-gm[i])/2./delti[theta];
1.209     brouard  5445:       /* gradg[theta][2]= -gradg[theta][1]; */ /* For testing if nlstate=2 */
1.126     brouard  5446:     } /* End theta */
                   5447: 
                   5448:     trgradg =matrix(1,nlstate,1,npar);
                   5449: 
                   5450:     for(j=1; j<=nlstate;j++)
                   5451:       for(theta=1; theta <=npar; theta++)
                   5452:        trgradg[j][theta]=gradg[theta][j];
1.209     brouard  5453:     /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ){ */
                   5454:     /*   printf("\nmgm mgp %d ",(int)age); */
                   5455:     /*   for(j=1; j<=nlstate;j++){ */
                   5456:     /*         printf(" %d ",j); */
                   5457:     /*         for(theta=1; theta <=npar; theta++) */
                   5458:     /*           printf(" %d %lf %lf",theta,mgm[theta][j],mgp[theta][j]); */
                   5459:     /*         printf("\n "); */
                   5460:     /*   } */
                   5461:     /* } */
                   5462:     /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ){ */
                   5463:     /*   printf("\n gradg %d ",(int)age); */
                   5464:     /*   for(j=1; j<=nlstate;j++){ */
                   5465:     /*         printf("%d ",j); */
                   5466:     /*         for(theta=1; theta <=npar; theta++) */
                   5467:     /*           printf("%d %lf ",theta,gradg[theta][j]); */
                   5468:     /*         printf("\n "); */
                   5469:     /*   } */
                   5470:     /* } */
1.126     brouard  5471: 
                   5472:     for(i=1;i<=nlstate;i++)
                   5473:       varpl[i][(int)age] =0.;
1.209     brouard  5474:     if((int)age==79 ||(int)age== 80  ||(int)age== 81){
1.205     brouard  5475:     matprod2(dnewm,trgradg,1,nlstate,1,npar,1,npar,matcov);
                   5476:     matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg);
                   5477:     }else{
1.126     brouard  5478:     matprod2(dnewm,trgradg,1,nlstate,1,npar,1,npar,matcov);
                   5479:     matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg);
1.205     brouard  5480:     }
1.126     brouard  5481:     for(i=1;i<=nlstate;i++)
                   5482:       varpl[i][(int)age] = doldm[i][i]; /* Covariances are useless */
                   5483: 
                   5484:     fprintf(ficresvpl,"%.0f ",age );
                   5485:     for(i=1; i<=nlstate;i++)
                   5486:       fprintf(ficresvpl," %.5f (%.5f)",prlim[i][i],sqrt(varpl[i][(int)age]));
                   5487:     fprintf(ficresvpl,"\n");
                   5488:     free_vector(gp,1,nlstate);
                   5489:     free_vector(gm,1,nlstate);
1.208     brouard  5490:     free_matrix(mgm,1,npar,1,nlstate);
                   5491:     free_matrix(mgp,1,npar,1,nlstate);
1.126     brouard  5492:     free_matrix(gradg,1,npar,1,nlstate);
                   5493:     free_matrix(trgradg,1,nlstate,1,npar);
                   5494:   } /* End age */
                   5495: 
                   5496:   free_vector(xp,1,npar);
                   5497:   free_matrix(doldm,1,nlstate,1,npar);
                   5498:   free_matrix(dnewm,1,nlstate,1,nlstate);
                   5499: 
                   5500: }
                   5501: 
                   5502: /************ Variance of one-step probabilities  ******************/
                   5503: 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  5504:  {
                   5505:    int i, j=0,  k1, l1, tj;
                   5506:    int k2, l2, j1,  z1;
                   5507:    int k=0, l;
                   5508:    int first=1, first1, first2;
                   5509:    double cv12, mu1, mu2, lc1, lc2, v12, v21, v11, v22,v1,v2, c12, tnalp;
                   5510:    double **dnewm,**doldm;
                   5511:    double *xp;
                   5512:    double *gp, *gm;
                   5513:    double **gradg, **trgradg;
                   5514:    double **mu;
                   5515:    double age, cov[NCOVMAX+1];
                   5516:    double std=2.0; /* Number of standard deviation wide of confidence ellipsoids */
                   5517:    int theta;
                   5518:    char fileresprob[FILENAMELENGTH];
                   5519:    char fileresprobcov[FILENAMELENGTH];
                   5520:    char fileresprobcor[FILENAMELENGTH];
                   5521:    double ***varpij;
                   5522: 
                   5523:    strcpy(fileresprob,"PROB_"); 
                   5524:    strcat(fileresprob,fileres);
                   5525:    if((ficresprob=fopen(fileresprob,"w"))==NULL) {
                   5526:      printf("Problem with resultfile: %s\n", fileresprob);
                   5527:      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprob);
                   5528:    }
                   5529:    strcpy(fileresprobcov,"PROBCOV_"); 
                   5530:    strcat(fileresprobcov,fileresu);
                   5531:    if((ficresprobcov=fopen(fileresprobcov,"w"))==NULL) {
                   5532:      printf("Problem with resultfile: %s\n", fileresprobcov);
                   5533:      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcov);
                   5534:    }
                   5535:    strcpy(fileresprobcor,"PROBCOR_"); 
                   5536:    strcat(fileresprobcor,fileresu);
                   5537:    if((ficresprobcor=fopen(fileresprobcor,"w"))==NULL) {
                   5538:      printf("Problem with resultfile: %s\n", fileresprobcor);
                   5539:      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcor);
                   5540:    }
                   5541:    printf("Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);
                   5542:    fprintf(ficlog,"Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);
                   5543:    printf("Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);
                   5544:    fprintf(ficlog,"Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);
                   5545:    printf("and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);
                   5546:    fprintf(ficlog,"and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);
                   5547:    pstamp(ficresprob);
                   5548:    fprintf(ficresprob,"#One-step probabilities and stand. devi in ()\n");
                   5549:    fprintf(ficresprob,"# Age");
                   5550:    pstamp(ficresprobcov);
                   5551:    fprintf(ficresprobcov,"#One-step probabilities and covariance matrix\n");
                   5552:    fprintf(ficresprobcov,"# Age");
                   5553:    pstamp(ficresprobcor);
                   5554:    fprintf(ficresprobcor,"#One-step probabilities and correlation matrix\n");
                   5555:    fprintf(ficresprobcor,"# Age");
1.126     brouard  5556: 
                   5557: 
1.222     brouard  5558:    for(i=1; i<=nlstate;i++)
                   5559:      for(j=1; j<=(nlstate+ndeath);j++){
                   5560:        fprintf(ficresprob," p%1d-%1d (SE)",i,j);
                   5561:        fprintf(ficresprobcov," p%1d-%1d ",i,j);
                   5562:        fprintf(ficresprobcor," p%1d-%1d ",i,j);
                   5563:      }  
                   5564:    /* fprintf(ficresprob,"\n");
                   5565:       fprintf(ficresprobcov,"\n");
                   5566:       fprintf(ficresprobcor,"\n");
                   5567:    */
                   5568:    xp=vector(1,npar);
                   5569:    dnewm=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);
                   5570:    doldm=matrix(1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath));
                   5571:    mu=matrix(1,(nlstate)*(nlstate+ndeath), (int) bage, (int)fage);
                   5572:    varpij=ma3x(1,nlstate*(nlstate+ndeath),1,nlstate*(nlstate+ndeath),(int) bage, (int) fage);
                   5573:    first=1;
                   5574:    fprintf(ficgp,"\n# Routine varprob");
                   5575:    fprintf(fichtm,"\n<li><h4> Computing and drawing one step probabilities with their confidence intervals</h4></li>\n");
                   5576:    fprintf(fichtm,"\n");
                   5577: 
                   5578:    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);
                   5579:    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);
                   5580:    fprintf(fichtmcov,"\nEllipsoids of confidence centered on point (p<inf>ij</inf>, p<inf>kl</inf>) are estimated \
1.126     brouard  5581: and drawn. It helps understanding how is the covariance between two incidences.\
                   5582:  They are expressed in year<sup>-1</sup> in order to be less dependent of stepm.<br>\n");
1.222     brouard  5583:    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  5584: It can be understood this way: if pij and pkl where uncorrelated the (2x2) matrix of covariance \
                   5585: would have been (1/(var pij), 0 , 0, 1/(var pkl)), and the confidence interval would be 2 \
                   5586: standard deviations wide on each axis. <br>\
                   5587:  Now, if both incidences are correlated (usual case) we diagonalised the inverse of the covariance matrix\
                   5588:  and made the appropriate rotation to look at the uncorrelated principal directions.<br>\
                   5589: To be simple, these graphs help to understand the significativity of each parameter in relation to a second other one.<br> \n");
                   5590: 
1.222     brouard  5591:    cov[1]=1;
                   5592:    /* tj=cptcoveff; */
1.225     brouard  5593:    tj = (int) pow(2,cptcoveff);
1.222     brouard  5594:    if (cptcovn<1) {tj=1;ncodemax[1]=1;}
                   5595:    j1=0;
1.224     brouard  5596:    for(j1=1; j1<=tj;j1++){  /* For each valid combination of covariates or only once*/
1.222     brouard  5597:      if  (cptcovn>0) {
                   5598:        fprintf(ficresprob, "\n#********** Variable "); 
1.225     brouard  5599:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprob, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.222     brouard  5600:        fprintf(ficresprob, "**********\n#\n");
                   5601:        fprintf(ficresprobcov, "\n#********** Variable "); 
1.225     brouard  5602:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcov, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.222     brouard  5603:        fprintf(ficresprobcov, "**********\n#\n");
1.220     brouard  5604:                        
1.222     brouard  5605:        fprintf(ficgp, "\n#********** Variable "); 
1.225     brouard  5606:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficgp, " V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.222     brouard  5607:        fprintf(ficgp, "**********\n#\n");
1.220     brouard  5608:                        
                   5609:                        
1.222     brouard  5610:        fprintf(fichtmcov, "\n<hr  size=\"2\" color=\"#EC5E5E\">********** Variable "); 
1.225     brouard  5611:        for (z1=1; z1<=cptcoveff; z1++) fprintf(fichtm, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.222     brouard  5612:        fprintf(fichtmcov, "**********\n<hr size=\"2\" color=\"#EC5E5E\">");
1.220     brouard  5613:                        
1.222     brouard  5614:        fprintf(ficresprobcor, "\n#********** Variable ");    
1.225     brouard  5615:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcor, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.222     brouard  5616:        fprintf(ficresprobcor, "**********\n#");    
                   5617:        if(invalidvarcomb[j1]){
                   5618:         fprintf(ficgp,"\n#Combination (%d) ignored because no cases \n",j1); 
                   5619:         fprintf(fichtmcov,"\n<h3>Combination (%d) ignored because no cases </h3>\n",j1); 
                   5620:         continue;
                   5621:        }
                   5622:      }
                   5623:      gradg=matrix(1,npar,1,(nlstate)*(nlstate+ndeath));
                   5624:      trgradg=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);
                   5625:      gp=vector(1,(nlstate)*(nlstate+ndeath));
                   5626:      gm=vector(1,(nlstate)*(nlstate+ndeath));
                   5627:      for (age=bage; age<=fage; age ++){ 
                   5628:        cov[2]=age;
                   5629:        if(nagesqr==1)
                   5630:         cov[3]= age*age;
                   5631:        for (k=1; k<=cptcovn;k++) {
                   5632:         cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(j1,k)];
                   5633:         /*cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(j1,Tvar[k])];*//* j1 1 2 3 4
                   5634:                                                                    * 1  1 1 1 1
                   5635:                                                                    * 2  2 1 1 1
                   5636:                                                                    * 3  1 2 1 1
                   5637:                                                                    */
                   5638:         /* nbcode[1][1]=0 nbcode[1][2]=1;*/
                   5639:        }
                   5640:        /* for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
                   5641:        for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
                   5642:        for (k=1; k<=cptcovprod;k++)
                   5643:         cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)]*nbcode[Tvard[k][2]][codtabm(ij,k)];
1.220     brouard  5644:                        
                   5645:                        
1.222     brouard  5646:        for(theta=1; theta <=npar; theta++){
                   5647:         for(i=1; i<=npar; i++)
                   5648:           xp[i] = x[i] + (i==theta ?delti[theta]:(double)0);
1.220     brouard  5649:                                
1.222     brouard  5650:         pmij(pmmij,cov,ncovmodel,xp,nlstate);
1.220     brouard  5651:                                
1.222     brouard  5652:         k=0;
                   5653:         for(i=1; i<= (nlstate); i++){
                   5654:           for(j=1; j<=(nlstate+ndeath);j++){
                   5655:             k=k+1;
                   5656:             gp[k]=pmmij[i][j];
                   5657:           }
                   5658:         }
1.220     brouard  5659:                                
1.222     brouard  5660:         for(i=1; i<=npar; i++)
                   5661:           xp[i] = x[i] - (i==theta ?delti[theta]:(double)0);
1.220     brouard  5662:                                
1.222     brouard  5663:         pmij(pmmij,cov,ncovmodel,xp,nlstate);
                   5664:         k=0;
                   5665:         for(i=1; i<=(nlstate); i++){
                   5666:           for(j=1; j<=(nlstate+ndeath);j++){
                   5667:             k=k+1;
                   5668:             gm[k]=pmmij[i][j];
                   5669:           }
                   5670:         }
1.220     brouard  5671:                                
1.222     brouard  5672:         for(i=1; i<= (nlstate)*(nlstate+ndeath); i++) 
                   5673:           gradg[theta][i]=(gp[i]-gm[i])/(double)2./delti[theta];  
                   5674:        }
1.126     brouard  5675: 
1.222     brouard  5676:        for(j=1; j<=(nlstate)*(nlstate+ndeath);j++)
                   5677:         for(theta=1; theta <=npar; theta++)
                   5678:           trgradg[j][theta]=gradg[theta][j];
1.220     brouard  5679:                        
1.222     brouard  5680:        matprod2(dnewm,trgradg,1,(nlstate)*(nlstate+ndeath),1,npar,1,npar,matcov); 
                   5681:        matprod2(doldm,dnewm,1,(nlstate)*(nlstate+ndeath),1,npar,1,(nlstate)*(nlstate+ndeath),gradg);
1.220     brouard  5682:                        
1.222     brouard  5683:        pmij(pmmij,cov,ncovmodel,x,nlstate);
1.220     brouard  5684:                        
1.222     brouard  5685:        k=0;
                   5686:        for(i=1; i<=(nlstate); i++){
                   5687:         for(j=1; j<=(nlstate+ndeath);j++){
                   5688:           k=k+1;
                   5689:           mu[k][(int) age]=pmmij[i][j];
                   5690:         }
                   5691:        }
                   5692:        for(i=1;i<=(nlstate)*(nlstate+ndeath);i++)
                   5693:         for(j=1;j<=(nlstate)*(nlstate+ndeath);j++)
                   5694:           varpij[i][j][(int)age] = doldm[i][j];
1.220     brouard  5695:                        
1.222     brouard  5696:        /*printf("\n%d ",(int)age);
                   5697:         for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){
                   5698:         printf("%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));
                   5699:         fprintf(ficlog,"%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));
                   5700:         }*/
1.220     brouard  5701:                        
1.222     brouard  5702:        fprintf(ficresprob,"\n%d ",(int)age);
                   5703:        fprintf(ficresprobcov,"\n%d ",(int)age);
                   5704:        fprintf(ficresprobcor,"\n%d ",(int)age);
1.220     brouard  5705:                        
1.222     brouard  5706:        for (i=1; i<=(nlstate)*(nlstate+ndeath);i++)
                   5707:         fprintf(ficresprob,"%11.3e (%11.3e) ",mu[i][(int) age],sqrt(varpij[i][i][(int)age]));
                   5708:        for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){
                   5709:         fprintf(ficresprobcov,"%11.3e ",mu[i][(int) age]);
                   5710:         fprintf(ficresprobcor,"%11.3e ",mu[i][(int) age]);
                   5711:        }
                   5712:        i=0;
                   5713:        for (k=1; k<=(nlstate);k++){
                   5714:         for (l=1; l<=(nlstate+ndeath);l++){ 
                   5715:           i++;
                   5716:           fprintf(ficresprobcov,"\n%d %d-%d",(int)age,k,l);
                   5717:           fprintf(ficresprobcor,"\n%d %d-%d",(int)age,k,l);
                   5718:           for (j=1; j<=i;j++){
                   5719:             /* printf(" k=%d l=%d i=%d j=%d\n",k,l,i,j);fflush(stdout); */
                   5720:             fprintf(ficresprobcov," %11.3e",varpij[i][j][(int)age]);
                   5721:             fprintf(ficresprobcor," %11.3e",varpij[i][j][(int) age]/sqrt(varpij[i][i][(int) age])/sqrt(varpij[j][j][(int)age]));
                   5722:           }
                   5723:         }
                   5724:        }/* end of loop for state */
                   5725:      } /* end of loop for age */
                   5726:      free_vector(gp,1,(nlstate+ndeath)*(nlstate+ndeath));
                   5727:      free_vector(gm,1,(nlstate+ndeath)*(nlstate+ndeath));
                   5728:      free_matrix(trgradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);
                   5729:      free_matrix(gradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);
                   5730:     
                   5731:      /* Confidence intervalle of pij  */
                   5732:      /*
                   5733:        fprintf(ficgp,"\nunset parametric;unset label");
                   5734:        fprintf(ficgp,"\nset log y;unset log x; set xlabel \"Age\";set ylabel \"probability (year-1)\"");
                   5735:        fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65");
                   5736:        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);
                   5737:        fprintf(fichtm,"\n<br><img src=\"pijgr%s.png\"> ",optionfilefiname);
                   5738:        fprintf(ficgp,"\nset out \"pijgr%s.png\"",optionfilefiname);
                   5739:        fprintf(ficgp,"\nplot \"%s\" every :::%d::%d u 1:2 \"\%%lf",k1,k2,xfilevarprob);
                   5740:      */
                   5741:                
                   5742:      /* Drawing ellipsoids of confidence of two variables p(k1-l1,k2-l2)*/
                   5743:      first1=1;first2=2;
                   5744:      for (k2=1; k2<=(nlstate);k2++){
                   5745:        for (l2=1; l2<=(nlstate+ndeath);l2++){ 
                   5746:         if(l2==k2) continue;
                   5747:         j=(k2-1)*(nlstate+ndeath)+l2;
                   5748:         for (k1=1; k1<=(nlstate);k1++){
                   5749:           for (l1=1; l1<=(nlstate+ndeath);l1++){ 
                   5750:             if(l1==k1) continue;
                   5751:             i=(k1-1)*(nlstate+ndeath)+l1;
                   5752:             if(i<=j) continue;
                   5753:             for (age=bage; age<=fage; age ++){ 
                   5754:               if ((int)age %5==0){
                   5755:                 v1=varpij[i][i][(int)age]/stepm*YEARM/stepm*YEARM;
                   5756:                 v2=varpij[j][j][(int)age]/stepm*YEARM/stepm*YEARM;
                   5757:                 cv12=varpij[i][j][(int)age]/stepm*YEARM/stepm*YEARM;
                   5758:                 mu1=mu[i][(int) age]/stepm*YEARM ;
                   5759:                 mu2=mu[j][(int) age]/stepm*YEARM;
                   5760:                 c12=cv12/sqrt(v1*v2);
                   5761:                 /* Computing eigen value of matrix of covariance */
                   5762:                 lc1=((v1+v2)+sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                   5763:                 lc2=((v1+v2)-sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                   5764:                 if ((lc2 <0) || (lc1 <0) ){
                   5765:                   if(first2==1){
                   5766:                     first1=0;
                   5767:                     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);
                   5768:                   }
                   5769:                   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);
                   5770:                   /* lc1=fabs(lc1); */ /* If we want to have them positive */
                   5771:                   /* lc2=fabs(lc2); */
                   5772:                 }
1.220     brouard  5773:                                                                
1.222     brouard  5774:                 /* Eigen vectors */
                   5775:                 v11=(1./sqrt(1+(v1-lc1)*(v1-lc1)/cv12/cv12));
                   5776:                 /*v21=sqrt(1.-v11*v11); *//* error */
                   5777:                 v21=(lc1-v1)/cv12*v11;
                   5778:                 v12=-v21;
                   5779:                 v22=v11;
                   5780:                 tnalp=v21/v11;
                   5781:                 if(first1==1){
                   5782:                   first1=0;
                   5783:                   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);
                   5784:                 }
                   5785:                 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);
                   5786:                 /*printf(fignu*/
                   5787:                 /* mu1+ v11*lc1*cost + v12*lc2*sin(t) */
                   5788:                 /* mu2+ v21*lc1*cost + v22*lc2*sin(t) */
                   5789:                 if(first==1){
                   5790:                   first=0;
                   5791:                   fprintf(ficgp,"\n# Ellipsoids of confidence\n#\n");
                   5792:                   fprintf(ficgp,"\nset parametric;unset label");
                   5793:                   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);
                   5794:                   fprintf(ficgp,"\nset ter svg size 640, 480");
                   5795:                   fprintf(fichtmcov,"\n<br>Ellipsoids of confidence cov(p%1d%1d,p%1d%1d) expressed in year<sup>-1</sup>\
1.220     brouard  5796:  :<a href=\"%s_%d%1d%1d-%1d%1d.svg\">                                                                                                                                          \
1.201     brouard  5797: %s_%d%1d%1d-%1d%1d.svg</A>, ",k1,l1,k2,l2,\
1.222     brouard  5798:                           subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2,      \
                   5799:                           subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
                   5800:                   fprintf(fichtmcov,"\n<br><img src=\"%s_%d%1d%1d-%1d%1d.svg\"> ",subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
                   5801:                   fprintf(fichtmcov,"\n<br> Correlation at age %d (%.3f),",(int) age, c12);
                   5802:                   fprintf(ficgp,"\nset out \"%s_%d%1d%1d-%1d%1d.svg\"",subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
                   5803:                   fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);
                   5804:                   fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);
                   5805:                   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",      \
                   5806:                           mu1,std,v11,sqrt(lc1),v12,sqrt(lc2),                                                                         \
                   5807:                           mu2,std,v21,sqrt(lc1),v22,sqrt(lc2));
                   5808:                 }else{
                   5809:                   first=0;
                   5810:                   fprintf(fichtmcov," %d (%.3f),",(int) age, c12);
                   5811:                   fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);
                   5812:                   fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);
                   5813:                   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", \
                   5814:                           mu1,std,v11,sqrt(lc1),v12,sqrt(lc2),                                 \
                   5815:                           mu2,std,v21,sqrt(lc1),v22,sqrt(lc2));
                   5816:                 }/* if first */
                   5817:               } /* age mod 5 */
                   5818:             } /* end loop age */
                   5819:             fprintf(ficgp,"\nset out;\nset out \"%s_%d%1d%1d-%1d%1d.svg\";replot;set out;",subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
                   5820:             first=1;
                   5821:           } /*l12 */
                   5822:         } /* k12 */
                   5823:        } /*l1 */
                   5824:      }/* k1 */
                   5825:    }  /* loop on combination of covariates j1 */
                   5826:    free_ma3x(varpij,1,nlstate,1,nlstate+ndeath,(int) bage, (int)fage);
                   5827:    free_matrix(mu,1,(nlstate+ndeath)*(nlstate+ndeath),(int) bage, (int)fage);
                   5828:    free_matrix(doldm,1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath));
                   5829:    free_matrix(dnewm,1,(nlstate)*(nlstate+ndeath),1,npar);
                   5830:    free_vector(xp,1,npar);
                   5831:    fclose(ficresprob);
                   5832:    fclose(ficresprobcov);
                   5833:    fclose(ficresprobcor);
                   5834:    fflush(ficgp);
                   5835:    fflush(fichtmcov);
                   5836:  }
1.126     brouard  5837: 
                   5838: 
                   5839: /******************* Printing html file ***********/
1.201     brouard  5840: void printinghtml(char fileresu[], char title[], char datafile[], int firstpass, \
1.126     brouard  5841:                  int lastpass, int stepm, int weightopt, char model[],\
                   5842:                  int imx,int jmin, int jmax, double jmeanint,char rfileres[],\
1.217     brouard  5843:                  int popforecast, int prevfcast, int backcast, int estepm , \
1.213     brouard  5844:                  double jprev1, double mprev1,double anprev1, double dateprev1, \
                   5845:                  double jprev2, double mprev2,double anprev2, double dateprev2){
1.126     brouard  5846:   int jj1, k1, i1, cpt;
                   5847: 
                   5848:    fprintf(fichtm,"<ul><li><a href='#firstorder'>Result files (first order: no variance)</a>\n \
                   5849:    <li><a href='#secondorder'>Result files (second order (variance)</a>\n \
                   5850: </ul>");
1.214     brouard  5851:    fprintf(fichtm,"<ul><li><h4><a name='firstorder'>Result files (first order: no variance)</a></h4>\n");
                   5852:    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",
                   5853:           jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,subdirfext3(optionfilefiname,"PHTMFR_",".htm"),subdirfext3(optionfilefiname,"PHTMFR_",".htm"));
                   5854:    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  5855:           jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,subdirfext3(optionfilefiname,"PHTM_",".htm"),subdirfext3(optionfilefiname,"PHTM_",".htm"));
                   5856:    fprintf(fichtm,",  <a href=\"%s\">%s</a> (text file) <br>\n",subdirf2(fileresu,"P_"),subdirf2(fileresu,"P_"));
1.126     brouard  5857:    fprintf(fichtm,"\
                   5858:  - Estimated transition probabilities over %d (stepm) months: <a href=\"%s\">%s</a><br>\n ",
1.201     brouard  5859:           stepm,subdirf2(fileresu,"PIJ_"),subdirf2(fileresu,"PIJ_"));
1.126     brouard  5860:    fprintf(fichtm,"\
1.217     brouard  5861:  - Estimated back transition probabilities over %d (stepm) months: <a href=\"%s\">%s</a><br>\n ",
                   5862:           stepm,subdirf2(fileresu,"PIJB_"),subdirf2(fileresu,"PIJB_"));
                   5863:    fprintf(fichtm,"\
1.126     brouard  5864:  - Period (stable) prevalence in each health state: <a href=\"%s\">%s</a> <br>\n",
1.201     brouard  5865:           subdirf2(fileresu,"PL_"),subdirf2(fileresu,"PL_"));
1.126     brouard  5866:    fprintf(fichtm,"\
1.217     brouard  5867:  - Period (stable) back prevalence in each health state: <a href=\"%s\">%s</a> <br>\n",
                   5868:           subdirf2(fileresu,"PLB_"),subdirf2(fileresu,"PLB_"));
                   5869:    fprintf(fichtm,"\
1.211     brouard  5870:  - (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  5871:    <a href=\"%s\">%s</a> <br>\n",
1.201     brouard  5872:           estepm,subdirf2(fileresu,"E_"),subdirf2(fileresu,"E_"));
1.211     brouard  5873:    if(prevfcast==1){
                   5874:      fprintf(fichtm,"\
                   5875:  - Prevalence projections by age and states:                           \
1.201     brouard  5876:    <a href=\"%s\">%s</a> <br>\n</li>", subdirf2(fileresu,"F_"),subdirf2(fileresu,"F_"));
1.211     brouard  5877:    }
1.126     brouard  5878: 
1.222     brouard  5879:    fprintf(fichtm," \n<ul><li><b>Graphs</b></li><p>");
1.126     brouard  5880: 
1.225     brouard  5881:    m=pow(2,cptcoveff);
1.222     brouard  5882:    if (cptcovn < 1) {m=1;ncodemax[1]=1;}
1.126     brouard  5883: 
1.222     brouard  5884:    jj1=0;
                   5885:    for(k1=1; k1<=m;k1++){
1.220     brouard  5886: 
1.222     brouard  5887:      /* for(i1=1; i1<=ncodemax[k1];i1++){ */
                   5888:      jj1++;
                   5889:      if (cptcovn > 0) {
                   5890:        fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");
1.225     brouard  5891:        for (cpt=1; cpt<=cptcoveff;cpt++){ 
1.222     brouard  5892:         fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]);
                   5893:         printf(" V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]);fflush(stdout);
                   5894:        }
                   5895:        fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");
                   5896:        if(invalidvarcomb[k1]){
                   5897:         fprintf(fichtm,"\n<h3>Combination (%d) ignored because no cases </h3>\n",k1); 
                   5898:         printf("\nCombination (%d) ignored because no cases \n",k1); 
                   5899:         continue;
                   5900:        }
                   5901:      }
                   5902:      /* aij, bij */
                   5903:      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  5904: <img src=\"%s_%d-1.svg\">",model,subdirf2(optionfilefiname,"PE_"),jj1,subdirf2(optionfilefiname,"PE_"),jj1,subdirf2(optionfilefiname,"PE_"),jj1);
1.222     brouard  5905:      /* Pij */
                   5906:      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  5907: <img src=\"%s_%d-2.svg\">",stepm,subdirf2(optionfilefiname,"PE_"),jj1,subdirf2(optionfilefiname,"PE_"),jj1,subdirf2(optionfilefiname,"PE_"),jj1);     
1.222     brouard  5908:      /* Quasi-incidences */
                   5909:      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  5910:  before but expressed in per year i.e. quasi incidences if stepm is small and probabilities too, \
1.211     brouard  5911:  incidence (rates) are the limit when h tends to zero of the ratio of the probability  <sub>h</sub>P<sub>ij</sub> \
                   5912: 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  5913: <img src=\"%s_%d-3.svg\">",stepm,subdirf2(optionfilefiname,"PE_"),jj1,subdirf2(optionfilefiname,"PE_"),jj1,subdirf2(optionfilefiname,"PE_"),jj1); 
1.222     brouard  5914:      /* Survival functions (period) in state j */
                   5915:      for(cpt=1; cpt<=nlstate;cpt++){
                   5916:        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  5917: <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  5918:      }
                   5919:      /* State specific survival functions (period) */
                   5920:      for(cpt=1; cpt<=nlstate;cpt++){
                   5921:        fprintf(fichtm,"<br>\n- Survival functions from state %d in each live state and total.\
1.220     brouard  5922:  Or probability to survive in various states (1 to %d) being in state %d at different ages.    \
1.201     brouard  5923:  <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  5924:      }
                   5925:      /* Period (stable) prevalence in each health state */
                   5926:      for(cpt=1; cpt<=nlstate;cpt++){
                   5927:        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  5928: <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  5929:      }
                   5930:      if(backcast==1){
                   5931:        /* Period (stable) back prevalence in each health state */
                   5932:        for(cpt=1; cpt<=nlstate;cpt++){
                   5933:         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  5934: <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  5935:        }
1.217     brouard  5936:      }
1.222     brouard  5937:      if(prevfcast==1){
                   5938:        /* Projection of prevalence up to period (stable) prevalence in each health state */
                   5939:        for(cpt=1; cpt<=nlstate;cpt++){
                   5940:         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  5941: <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  5942:        }
                   5943:      }
1.220     brouard  5944:         
1.222     brouard  5945:      for(cpt=1; cpt<=nlstate;cpt++) {
                   5946:        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  5947: <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  5948:      }
                   5949:      /* } /\* end i1 *\/ */
                   5950:    }/* End k1 */
                   5951:    fprintf(fichtm,"</ul>");
1.126     brouard  5952: 
1.222     brouard  5953:    fprintf(fichtm,"\
1.126     brouard  5954: \n<br><li><h4> <a name='secondorder'>Result files (second order: variances)</a></h4>\n\
1.193     brouard  5955:  - Parameter file with estimated parameters and covariance matrix: <a href=\"%s\">%s</a> <br> \
1.203     brouard  5956:  - 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  5957: But because parameters are usually highly correlated (a higher incidence of disability \
                   5958: and a higher incidence of recovery can give very close observed transition) it might \
                   5959: be very useful to look not only at linear confidence intervals estimated from the \
                   5960: variances but at the covariance matrix. And instead of looking at the estimated coefficients \
                   5961: (parameters) of the logistic regression, it might be more meaningful to visualize the \
                   5962: covariance matrix of the one-step probabilities. \
                   5963: See page 'Matrix of variance-covariance of one-step probabilities' below. \n", rfileres,rfileres);
1.126     brouard  5964: 
1.222     brouard  5965:    fprintf(fichtm," - Standard deviation of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
                   5966:           subdirf2(fileresu,"PROB_"),subdirf2(fileresu,"PROB_"));
                   5967:    fprintf(fichtm,"\
1.126     brouard  5968:  - Variance-covariance of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
1.222     brouard  5969:           subdirf2(fileresu,"PROBCOV_"),subdirf2(fileresu,"PROBCOV_"));
1.126     brouard  5970: 
1.222     brouard  5971:    fprintf(fichtm,"\
1.126     brouard  5972:  - Correlation matrix of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
1.222     brouard  5973:           subdirf2(fileresu,"PROBCOR_"),subdirf2(fileresu,"PROBCOR_"));
                   5974:    fprintf(fichtm,"\
1.126     brouard  5975:  - 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): \
                   5976:    <a href=\"%s\">%s</a> <br>\n</li>",
1.201     brouard  5977:           estepm,subdirf2(fileresu,"CVE_"),subdirf2(fileresu,"CVE_"));
1.222     brouard  5978:    fprintf(fichtm,"\
1.126     brouard  5979:  - (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): \
                   5980:    <a href=\"%s\">%s</a> <br>\n</li>",
1.201     brouard  5981:           estepm,subdirf2(fileresu,"STDE_"),subdirf2(fileresu,"STDE_"));
1.222     brouard  5982:    fprintf(fichtm,"\
1.128     brouard  5983:  - 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  5984:           estepm, subdirf2(fileresu,"V_"),subdirf2(fileresu,"V_"));
                   5985:    fprintf(fichtm,"\
1.128     brouard  5986:  - 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  5987:           estepm, subdirf2(fileresu,"T_"),subdirf2(fileresu,"T_"));
                   5988:    fprintf(fichtm,"\
1.126     brouard  5989:  - Standard deviation of period (stable) prevalences: <a href=\"%s\">%s</a> <br>\n",\
1.222     brouard  5990:           subdirf2(fileresu,"VPL_"),subdirf2(fileresu,"VPL_"));
1.126     brouard  5991: 
                   5992: /*  if(popforecast==1) fprintf(fichtm,"\n */
                   5993: /*  - Prevalences forecasting: <a href=\"f%s\">f%s</a> <br>\n */
                   5994: /*  - Population forecasting (if popforecast=1): <a href=\"pop%s\">pop%s</a> <br>\n */
                   5995: /*     <br>",fileres,fileres,fileres,fileres); */
                   5996: /*  else  */
                   5997: /*    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  5998:    fflush(fichtm);
                   5999:    fprintf(fichtm," <ul><li><b>Graphs</b></li><p>");
1.126     brouard  6000: 
1.225     brouard  6001:    m=pow(2,cptcoveff);
1.222     brouard  6002:    if (cptcovn < 1) {m=1;ncodemax[1]=1;}
1.126     brouard  6003: 
1.222     brouard  6004:    jj1=0;
                   6005:    for(k1=1; k1<=m;k1++){
                   6006:      /* for(i1=1; i1<=ncodemax[k1];i1++){ */
                   6007:      jj1++;
1.126     brouard  6008:      if (cptcovn > 0) {
                   6009:        fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");
1.225     brouard  6010:        for (cpt=1; cpt<=cptcoveff;cpt++)  /**< cptcoveff number of variables */
1.222     brouard  6011:         fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]);
1.126     brouard  6012:        fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");
1.220     brouard  6013: 
1.222     brouard  6014:        if(invalidvarcomb[k1]){
                   6015:         fprintf(fichtm,"\n<h4>Combination (%d) ignored because no cases </h4>\n",k1); 
                   6016:         continue;
                   6017:        }
1.126     brouard  6018:      }
                   6019:      for(cpt=1; cpt<=nlstate;cpt++) {
1.218     brouard  6020:        fprintf(fichtm,"\n<br>- Observed (cross-sectional) and period (incidence based) \
                   6021: prevalence (with 95%% confidence interval) in state (%d): <a href=\"%s_%d-%d.svg\"> %s_%d-%d.svg</a>\n <br>\
1.205     brouard  6022: <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  6023:      }
                   6024:      fprintf(fichtm,"\n<br>- Total life expectancy by age and \
1.128     brouard  6025: health expectancies in states (1) and (2). If popbased=1 the smooth (due to the model) \
                   6026: true period expectancies (those weighted with period prevalences are also\
                   6027:  drawn in addition to the population based expectancies computed using\
1.218     brouard  6028:  observed and cahotic prevalences:  <a href=\"%s_%d.svg\">%s_%d.svg</a>\n<br>\
1.205     brouard  6029: <img src=\"%s_%d.svg\">",subdirf2(optionfilefiname,"E_"),jj1,subdirf2(optionfilefiname,"E_"),jj1,subdirf2(optionfilefiname,"E_"),jj1);
1.222     brouard  6030:      /* } /\* end i1 *\/ */
                   6031:    }/* End k1 */
                   6032:    fprintf(fichtm,"</ul>");
                   6033:    fflush(fichtm);
1.126     brouard  6034: }
                   6035: 
                   6036: /******************* Gnuplot file **************/
1.223     brouard  6037: void printinggnuplot(char fileresu[], char optionfilefiname[], double ageminpar, double agemaxpar, double fage , int prevfcast, int backcast, char pathc[], double p[]){
1.126     brouard  6038: 
                   6039:   char dirfileres[132],optfileres[132];
1.223     brouard  6040:   char gplotcondition[132];
1.164     brouard  6041:   int cpt=0,k1=0,i=0,k=0,j=0,jk=0,k2=0,k3=0,ij=0,l=0;
1.211     brouard  6042:   int lv=0, vlv=0, kl=0;
1.130     brouard  6043:   int ng=0;
1.201     brouard  6044:   int vpopbased;
1.223     brouard  6045:   int ioffset; /* variable offset for columns */
1.219     brouard  6046: 
1.126     brouard  6047: /*   if((ficgp=fopen(optionfilegnuplot,"a"))==NULL) { */
                   6048: /*     printf("Problem with file %s",optionfilegnuplot); */
                   6049: /*     fprintf(ficlog,"Problem with file %s",optionfilegnuplot); */
                   6050: /*   } */
                   6051: 
                   6052:   /*#ifdef windows */
                   6053:   fprintf(ficgp,"cd \"%s\" \n",pathc);
1.223     brouard  6054:   /*#endif */
1.225     brouard  6055:   m=pow(2,cptcoveff);
1.126     brouard  6056: 
1.202     brouard  6057:   /* Contribution to likelihood */
                   6058:   /* Plot the probability implied in the likelihood */
1.223     brouard  6059:   fprintf(ficgp,"\n# Contributions to the Likelihood, mle >=1. For mle=4 no interpolation, pure matrix products.\n#\n");
                   6060:   fprintf(ficgp,"\n set log y; unset log x;set xlabel \"Age\"; set ylabel \"Likelihood (-2Log(L))\";");
                   6061:   /* fprintf(ficgp,"\nset ter svg size 640, 480"); */ /* Too big for svg */
                   6062:   fprintf(ficgp,"\nset ter pngcairo size 640, 480");
1.204     brouard  6063: /* nice for mle=4 plot by number of matrix products.
1.202     brouard  6064:    replot  "rrtest1/toto.txt" u 2:($4 == 1 && $5==2 ? $9 : 1/0):5 t "p12" with point lc 1 */
                   6065: /* replot exp(p1+p2*x)/(1+exp(p1+p2*x)+exp(p3+p4*x)+exp(p5+p6*x)) t "p12(x)"  */
1.223     brouard  6066:   /* fprintf(ficgp,"\nset out \"%s.svg\";",subdirf2(optionfilefiname,"ILK_")); */
                   6067:   fprintf(ficgp,"\nset out \"%s-dest.png\";",subdirf2(optionfilefiname,"ILK_"));
                   6068:   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));
                   6069:   fprintf(ficgp,"\nset out \"%s-ori.png\";",subdirf2(optionfilefiname,"ILK_"));
                   6070:   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));
                   6071:   for (i=1; i<= nlstate ; i ++) {
                   6072:     fprintf(ficgp,"\nset out \"%s-p%dj.png\";set ylabel \"Probability for each individual/wave\";",subdirf2(optionfilefiname,"ILK_"),i);
                   6073:     fprintf(ficgp,"unset log;\n# plot weighted, mean weight should have point size of 0.5\n plot  \"%s\"",subdirf(fileresilk));
                   6074:     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);
                   6075:     for (j=2; j<= nlstate+ndeath ; j ++) {
                   6076:       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);
                   6077:     }
                   6078:     fprintf(ficgp,";\nset out; unset ylabel;\n"); 
                   6079:   }
                   6080:   /* 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 */               
                   6081:   /* fprintf(ficgp,"\nset log y;plot  \"%s\" u 2:(-$11):3 t \"All sample, all transitions\" with dots lc variable",subdirf(fileresilk)); */
                   6082:   /* fprintf(ficgp,"\nreplot  \"%s\" u 2:($3 <= 3 ? -$11 : 1/0):3 t \"First 3 individuals\" with line lc variable", subdirf(fileresilk)); */
                   6083:   fprintf(ficgp,"\nset out;unset log\n");
                   6084:   /* fprintf(ficgp,"\nset out \"%s.svg\"; replot; set out; # bug gnuplot",subdirf2(optionfilefiname,"ILK_")); */
1.202     brouard  6085: 
1.126     brouard  6086:   strcpy(dirfileres,optionfilefiname);
                   6087:   strcpy(optfileres,"vpl");
1.223     brouard  6088:   /* 1eme*/
1.211     brouard  6089:   for (cpt=1; cpt<= nlstate ; cpt ++) { /* For each live state */
1.220     brouard  6090:     for (k1=1; k1<= m ; k1 ++) { /* For each valid combination of covariate */
1.211     brouard  6091:       /* plot [100000000000000000000:-100000000000000000000] "mysbiaspar/vplrmysbiaspar.txt to check */
                   6092:       fprintf(ficgp,"\n# 1st: Period (stable) prevalence with CI: 'VPL_' files ");
1.225     brouard  6093:       for (k=1; k<=cptcoveff; k++){    /* For each covariate k get corresponding value lv for combination k1 */
                   6094:        lv= decodtabm(k1,k,cptcoveff); /* Should be the value of the covariate corresponding to k1 combination */
1.223     brouard  6095:        /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   6096:        /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   6097:        /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   6098:        vlv= nbcode[Tvaraff[k]][lv]; /* vlv is the value of the covariate lv, 0 or 1 */
                   6099:        /* For each combination of covariate k1 (V1=1, V3=0), we printed the current covariate k and its value vlv */
                   6100:        fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.211     brouard  6101:       }
                   6102:       fprintf(ficgp,"\n#\n");
1.223     brouard  6103:       if(invalidvarcomb[k1]){
                   6104:        fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   6105:        continue;
                   6106:       }
1.211     brouard  6107: 
1.223     brouard  6108:       fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" \n",subdirf2(optionfilefiname,"V_"),cpt,k1);
                   6109:       fprintf(ficgp,"\n#set out \"V_%s_%d-%d.svg\" \n",optionfilefiname,cpt,k1);
                   6110:       fprintf(ficgp,"set xlabel \"Age\" \n\
1.219     brouard  6111: set ylabel \"Probability\" \n  \
                   6112: set ter svg size 640, 480\n    \
1.201     brouard  6113: plot [%.f:%.f] \"%s\" every :::%d::%d u 1:2 \"%%lf",ageminpar,fage,subdirf2(fileresu,"VPL_"),k1-1,k1-1);
1.219     brouard  6114:                        
1.223     brouard  6115:       for (i=1; i<= nlstate ; i ++) {
                   6116:        if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   6117:        else        fprintf(ficgp," %%*lf (%%*lf)");
                   6118:       }
                   6119:       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);
                   6120:       for (i=1; i<= nlstate ; i ++) {
                   6121:        if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   6122:        else fprintf(ficgp," %%*lf (%%*lf)");
                   6123:       } 
                   6124:       fprintf(ficgp,"\" t\"95%% CI\" w l lt 1,\"%s\" every :::%d::%d u 1:($2-1.96*$3) \"%%lf",subdirf2(fileresu,"VPL_"),k1-1,k1-1); 
                   6125:       for (i=1; i<= nlstate ; i ++) {
                   6126:        if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   6127:        else fprintf(ficgp," %%*lf (%%*lf)");
                   6128:       }  
                   6129:       fprintf(ficgp,"\" t\"\" w l lt 1,\"%s\" every :::%d::%d u 1:($%d) t\"Observed prevalence\" w l lt 2",subdirf2(fileresu,"P_"),k1-1,k1-1,2+4*(cpt-1));
                   6130:       if(backcast==1){ /* We need to get the corresponding values of the covariates involved in this combination k1 */
                   6131:        /* fprintf(ficgp,",\"%s\" every :::%d::%d u 1:($%d) t\"Backward stable prevalence\" w l lt 3",subdirf2(fileresu,"PLB_"),k1-1,k1-1,1+cpt); */
                   6132:        fprintf(ficgp,",\"%s\" u 1:((",subdirf2(fileresu,"PLB_")); /* Age is in 1 */
1.225     brouard  6133:        if(cptcoveff ==0){
1.223     brouard  6134:          fprintf(ficgp,"$%d)) t 'Backward prevalence in state %d' with line ",  2+(cpt-1),  cpt );
                   6135:        }else{
                   6136:          kl=0;
1.225     brouard  6137:          for (k=1; k<=cptcoveff; k++){    /* For each combination of covariate  */
                   6138:            lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to k1 combination and kth covariate */
1.223     brouard  6139:            /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   6140:            /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   6141:            /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   6142:            vlv= nbcode[Tvaraff[k]][lv];
                   6143:            kl++;
                   6144:            /* 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 *\/ */
                   6145:            /*6+(cpt-1)*(nlstate+1)+1+(i-1)+(nlstate+1)*nlstate; 6+(1-1)*(2+1)+1+(1-1) +(2+1)*2=13 */ 
                   6146:            /*6+1+(i-1)+(nlstate+1)*nlstate; 6+1+(1-1) +(2+1)*2=13 */ 
                   6147:            /* ''  u 6:(($1==1 && $2==0 && $3==2 && $4==0)? $9/(1.-$15) : 1/0):($5==2000? 3:2) t 'p.1' with line lc variable*/
1.225     brouard  6148:            if(k==cptcoveff){
1.227     brouard  6149:              fprintf(ficgp,"$%d==%d && $%d==%d)? $%d : 1/0) t 'Backward prevalence in state %d' ",kl+1, Tvaraff[k],kl+1+1,nbcode[Tvaraff[k]][lv], \
                   6150:                      4+(cpt-1),  cpt );  /* 4 or 6 ?*/
1.223     brouard  6151:            }else{
                   6152:              fprintf(ficgp,"$%d==%d && $%d==%d && ",kl+1, Tvaraff[k],kl+1+1,nbcode[Tvaraff[k]][lv]);
                   6153:              kl++;
                   6154:            }
                   6155:          } /* end covariate */
                   6156:        } /* end if no covariate */
                   6157:       } /* end if backcast */
                   6158:       fprintf(ficgp,"\nset out \n");
1.201     brouard  6159:     } /* k1 */
                   6160:   } /* cpt */
1.126     brouard  6161:   /*2 eme*/
                   6162:   for (k1=1; k1<= m ; k1 ++) { 
1.220     brouard  6163: 
1.223     brouard  6164:     fprintf(ficgp,"\n# 2nd: Total life expectancy with CI: 't' files ");
1.225     brouard  6165:     for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
                   6166:       lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
1.223     brouard  6167:       /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   6168:       /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   6169:       /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   6170:       vlv= nbcode[Tvaraff[k]][lv];
                   6171:       fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
                   6172:     }
                   6173:     fprintf(ficgp,"\n#\n");
                   6174:     if(invalidvarcomb[k1]){
                   6175:       fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   6176:       continue;
                   6177:     }
1.219     brouard  6178:                        
1.223     brouard  6179:     fprintf(ficgp,"\nset out \"%s_%d.svg\" \n",subdirf2(optionfilefiname,"E_"),k1);
                   6180:     for(vpopbased=0; vpopbased <= popbased; vpopbased++){ /* Done for vpopbased=0 and vpopbased=1 if popbased==1*/
                   6181:       if(vpopbased==0)
                   6182:        fprintf(ficgp,"set ylabel \"Years\" \nset ter svg size 640, 480\nplot [%.f:%.f] ",ageminpar,fage);
                   6183:       else
                   6184:        fprintf(ficgp,"\nreplot ");
                   6185:       for (i=1; i<= nlstate+1 ; i ++) {
                   6186:        k=2*i;
                   6187:        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);
                   6188:        for (j=1; j<= nlstate+1 ; j ++) {
                   6189:          if (j==i) fprintf(ficgp," %%lf (%%lf)");
                   6190:          else fprintf(ficgp," %%*lf (%%*lf)");
                   6191:        }   
                   6192:        if (i== 1) fprintf(ficgp,"\" t\"TLE\" w l lt %d, \\\n",i);
                   6193:        else fprintf(ficgp,"\" t\"LE in state (%d)\" w l lt %d, \\\n",i-1,i+1);
                   6194:        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);
                   6195:        for (j=1; j<= nlstate+1 ; j ++) {
                   6196:          if (j==i) fprintf(ficgp," %%lf (%%lf)");
                   6197:          else fprintf(ficgp," %%*lf (%%*lf)");
                   6198:        }   
                   6199:        fprintf(ficgp,"\" t\"\" w l lt 0,");
                   6200:        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);
                   6201:        for (j=1; j<= nlstate+1 ; j ++) {
                   6202:          if (j==i) fprintf(ficgp," %%lf (%%lf)");
                   6203:          else fprintf(ficgp," %%*lf (%%*lf)");
                   6204:        }   
                   6205:        if (i== (nlstate+1)) fprintf(ficgp,"\" t\"\" w l lt 0");
                   6206:        else fprintf(ficgp,"\" t\"\" w l lt 0,\\\n");
                   6207:       } /* state */
                   6208:     } /* vpopbased */
                   6209:     fprintf(ficgp,"\nset out;set out \"%s_%d.svg\"; replot; set out; \n",subdirf2(optionfilefiname,"E_"),k1); /* Buggy gnuplot */
1.201     brouard  6210:   } /* k1 */
1.219     brouard  6211:        
                   6212:        
1.126     brouard  6213:   /*3eme*/
                   6214:   for (k1=1; k1<= m ; k1 ++) { 
1.220     brouard  6215: 
1.126     brouard  6216:     for (cpt=1; cpt<= nlstate ; cpt ++) {
1.211     brouard  6217:       fprintf(ficgp,"\n# 3d: Life expectancy with EXP_ files:  cov=%d state=%d",k1, cpt);
1.225     brouard  6218:       for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
                   6219:        lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
1.223     brouard  6220:        /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   6221:        /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   6222:        /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   6223:        vlv= nbcode[Tvaraff[k]][lv];
                   6224:        fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.211     brouard  6225:       }
                   6226:       fprintf(ficgp,"\n#\n");
1.223     brouard  6227:       if(invalidvarcomb[k1]){
                   6228:        fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   6229:        continue;
                   6230:       }
1.219     brouard  6231:                        
1.126     brouard  6232:       /*       k=2+nlstate*(2*cpt-2); */
                   6233:       k=2+(nlstate+1)*(cpt-1);
1.201     brouard  6234:       fprintf(ficgp,"\nset out \"%s_%d%d.svg\" \n",subdirf2(optionfilefiname,"EXP_"),cpt,k1);
1.199     brouard  6235:       fprintf(ficgp,"set ter svg size 640, 480\n\
1.201     brouard  6236: 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  6237:       /*fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d-2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);
1.223     brouard  6238:        for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");
                   6239:        fprintf(ficgp,"\" t \"e%d1\" w l",cpt);
                   6240:        fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d+2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);
                   6241:        for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");
                   6242:        fprintf(ficgp,"\" t \"e%d1\" w l",cpt);
1.219     brouard  6243:                                
1.126     brouard  6244:       */
                   6245:       for (i=1; i< nlstate ; i ++) {
1.223     brouard  6246:        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);
                   6247:        /*      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  6248:                                
1.126     brouard  6249:       } 
1.201     brouard  6250:       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  6251:     }
                   6252:   }
                   6253:   
1.223     brouard  6254:   /* 4eme */
1.201     brouard  6255:   /* Survival functions (period) from state i in state j by initial state i */
                   6256:   for (k1=1; k1<= m ; k1 ++) { /* For each multivariate if any */
1.220     brouard  6257: 
1.201     brouard  6258:     for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state */
1.211     brouard  6259:       fprintf(ficgp,"\n#\n#\n# Survival functions in state j : 'LIJ_' files, cov=%d state=%d",k1, cpt);
1.225     brouard  6260:       for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
                   6261:        lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
1.223     brouard  6262:        /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   6263:        /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   6264:        /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   6265:        vlv= nbcode[Tvaraff[k]][lv];
                   6266:        fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.211     brouard  6267:       }
                   6268:       fprintf(ficgp,"\n#\n");
1.223     brouard  6269:       if(invalidvarcomb[k1]){
                   6270:        fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   6271:        continue;
                   6272:       }
1.220     brouard  6273:                        
1.201     brouard  6274:       fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" \n",subdirf2(optionfilefiname,"LIJ_"),cpt,k1);
                   6275:       fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability to be alive\" \n\
1.220     brouard  6276: set ter svg size 640, 480\n                                                                                                                                                                                    \
                   6277: unset log y\n                                                                                                                                                                                                                                          \
1.201     brouard  6278: plot [%.f:%.f]  ", ageminpar, agemaxpar);
1.211     brouard  6279:       k=3;
1.201     brouard  6280:       for (i=1; i<= nlstate ; i ++){
1.223     brouard  6281:        if(i==1){
                   6282:          fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJ_"));
                   6283:        }else{
                   6284:          fprintf(ficgp,", '' ");
                   6285:        }
                   6286:        l=(nlstate+ndeath)*(i-1)+1;
                   6287:        fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l);
                   6288:        for (j=2; j<= nlstate+ndeath ; j ++)
                   6289:          fprintf(ficgp,"+$%d",k+l+j-1);
                   6290:        fprintf(ficgp,")) t \"l(%d,%d)\" w l",i,cpt);
1.201     brouard  6291:       } /* nlstate */
                   6292:       fprintf(ficgp,"\nset out\n");
                   6293:     } /* end cpt state*/ 
                   6294:   } /* end covariate */  
1.220     brouard  6295:        
                   6296: /* 5eme */
1.201     brouard  6297:   /* Survival functions (period) from state i in state j by final state j */
1.202     brouard  6298:   for (k1=1; k1<= m ; k1 ++) { /* For each covariate if any */
1.201     brouard  6299:     for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each inital state  */
1.223     brouard  6300:                        
1.201     brouard  6301:       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  6302:       for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
1.227     brouard  6303:        lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
                   6304:        /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   6305:        /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   6306:        /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   6307:        vlv= nbcode[Tvaraff[k]][lv];
                   6308:        fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.211     brouard  6309:       }
                   6310:       fprintf(ficgp,"\n#\n");
1.223     brouard  6311:       if(invalidvarcomb[k1]){
1.227     brouard  6312:        fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   6313:        continue;
1.223     brouard  6314:       }
1.227     brouard  6315:       
1.201     brouard  6316:       fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" \n",subdirf2(optionfilefiname,"LIJT_"),cpt,k1);
                   6317:       fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability to be alive\" \n\
1.227     brouard  6318: set ter svg size 640, 480\n                                            \
                   6319: unset log y\n                                                          \
1.201     brouard  6320: plot [%.f:%.f]  ", ageminpar, agemaxpar);
1.211     brouard  6321:       k=3;
1.201     brouard  6322:       for (j=1; j<= nlstate ; j ++){ /* Lived in state j */
1.227     brouard  6323:        if(j==1)
                   6324:          fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJ_"));
                   6325:        else
                   6326:          fprintf(ficgp,", '' ");
                   6327:        l=(nlstate+ndeath)*(cpt-1) +j;
                   6328:        fprintf(ficgp," u (($1==%d && (floor($2)%%5 == 0)) ? ($3):1/0):($%d",k1,k+l);
                   6329:        /* for (i=2; i<= nlstate+ndeath ; i ++) */
                   6330:        /*   fprintf(ficgp,"+$%d",k+l+i-1); */
                   6331:        fprintf(ficgp,") t \"l(%d,%d)\" w l",cpt,j);
1.201     brouard  6332:       } /* nlstate */
                   6333:       fprintf(ficgp,", '' ");
                   6334:       fprintf(ficgp," u (($1==%d && (floor($2)%%5 == 0)) ? ($3):1/0):(",k1);
                   6335:       for (j=1; j<= nlstate ; j ++){ /* Lived in state j */
1.227     brouard  6336:        l=(nlstate+ndeath)*(cpt-1) +j;
                   6337:        if(j < nlstate)
                   6338:          fprintf(ficgp,"$%d +",k+l);
                   6339:        else
                   6340:          fprintf(ficgp,"$%d) t\"l(%d,.)\" w l",k+l,cpt);
1.201     brouard  6341:       }
                   6342:       fprintf(ficgp,"\nset out\n");
                   6343:     } /* end cpt state*/ 
                   6344:   } /* end covariate */  
1.227     brouard  6345:   
1.220     brouard  6346: /* 6eme */
1.202     brouard  6347:   /* CV preval stable (period) for each covariate */
1.211     brouard  6348:   for (k1=1; k1<= m ; k1 ++) { /* For each covariate combination (1 to m=2**k), if any covariate is present */
1.153     brouard  6349:     for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state */
1.227     brouard  6350:       
1.211     brouard  6351:       fprintf(ficgp,"\n#\n#\n#CV preval stable (period): 'pij' files, covariatecombination#=%d state=%d",k1, cpt);
1.225     brouard  6352:       for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
1.227     brouard  6353:        lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
                   6354:        /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   6355:        /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   6356:        /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   6357:        vlv= nbcode[Tvaraff[k]][lv];
                   6358:        fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.211     brouard  6359:       }
                   6360:       fprintf(ficgp,"\n#\n");
1.223     brouard  6361:       if(invalidvarcomb[k1]){
1.227     brouard  6362:        fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   6363:        continue;
1.223     brouard  6364:       }
1.227     brouard  6365:       
1.201     brouard  6366:       fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" \n",subdirf2(optionfilefiname,"P_"),cpt,k1);
1.126     brouard  6367:       fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \n\
1.227     brouard  6368: set ter svg size 640, 480\n                                            \
                   6369: unset log y\n                                                          \
1.153     brouard  6370: plot [%.f:%.f]  ", ageminpar, agemaxpar);
1.211     brouard  6371:       k=3; /* Offset */
1.153     brouard  6372:       for (i=1; i<= nlstate ; i ++){
1.227     brouard  6373:        if(i==1)
                   6374:          fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJ_"));
                   6375:        else
                   6376:          fprintf(ficgp,", '' ");
                   6377:        l=(nlstate+ndeath)*(i-1)+1;
                   6378:        fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l);
                   6379:        for (j=2; j<= nlstate ; j ++)
                   6380:          fprintf(ficgp,"+$%d",k+l+j-1);
                   6381:        fprintf(ficgp,")) t \"prev(%d,%d)\" w l",i,cpt);
1.153     brouard  6382:       } /* nlstate */
1.201     brouard  6383:       fprintf(ficgp,"\nset out\n");
1.153     brouard  6384:     } /* end cpt state*/ 
                   6385:   } /* end covariate */  
1.227     brouard  6386:   
                   6387:   
1.220     brouard  6388: /* 7eme */
1.218     brouard  6389:   if(backcast == 1){
1.217     brouard  6390:     /* CV back preval stable (period) for each covariate */
1.218     brouard  6391:     for (k1=1; k1<= m ; k1 ++) { /* For each covariate combination (1 to m=2**k), if any covariate is present */
                   6392:       for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state */
1.227     brouard  6393:        fprintf(ficgp,"\n#\n#\n#CV Back preval stable (period): 'pij' files, covariatecombination#=%d state=%d",k1, cpt);
                   6394:        for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
                   6395:          lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
                   6396:          /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   6397:          /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
1.223     brouard  6398:          /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
1.227     brouard  6399:          vlv= nbcode[Tvaraff[k]][lv];
                   6400:          fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
                   6401:        }
                   6402:        fprintf(ficgp,"\n#\n");
                   6403:        if(invalidvarcomb[k1]){
                   6404:          fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   6405:          continue;
                   6406:        }
                   6407:        
                   6408:        fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" \n",subdirf2(optionfilefiname,"PB_"),cpt,k1);
                   6409:        fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \n\
                   6410: set ter svg size 640, 480\n                                            \
                   6411: unset log y\n                                                          \
1.218     brouard  6412: plot [%.f:%.f]  ", ageminpar, agemaxpar);
1.227     brouard  6413:        k=3; /* Offset */
                   6414:        for (i=1; i<= nlstate ; i ++){
                   6415:          if(i==1)
                   6416:            fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJB_"));
                   6417:          else
                   6418:            fprintf(ficgp,", '' ");
                   6419:          /* l=(nlstate+ndeath)*(i-1)+1; */
                   6420:          l=(nlstate+ndeath)*(cpt-1)+1;
                   6421:          /* fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l); /\* a vérifier *\/ */
                   6422:          /* fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l+(cpt-1)+i-1); /\* a vérifier *\/ */
                   6423:          fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d",k1,k+l+(cpt-1)+i-1); /* a vérifier */
                   6424:          /* for (j=2; j<= nlstate ; j ++) */
                   6425:          /*    fprintf(ficgp,"+$%d",k+l+j-1); */
                   6426:          /*    /\* fprintf(ficgp,"+$%d",k+l+j-1); *\/ */
                   6427:          fprintf(ficgp,") t \"bprev(%d,%d)\" w l",i,cpt);
                   6428:        } /* nlstate */
                   6429:        fprintf(ficgp,"\nset out\n");
1.218     brouard  6430:       } /* end cpt state*/ 
                   6431:     } /* end covariate */  
                   6432:   } /* End if backcast */
                   6433:   
1.223     brouard  6434:   /* 8eme */
1.218     brouard  6435:   if(prevfcast==1){
                   6436:     /* Projection from cross-sectional to stable (period) for each covariate */
                   6437:     
                   6438:     for (k1=1; k1<= m ; k1 ++) { /* For each covariate combination (1 to m=2**k), if any covariate is present */
1.211     brouard  6439:       for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state */
1.227     brouard  6440:        fprintf(ficgp,"\n#\n#\n#Projection of prevalence to stable (period): 'PROJ_' files, covariatecombination#=%d state=%d",k1, cpt);
                   6441:        for (k=1; k<=cptcoveff; k++){    /* For each correspondig covariate value  */
                   6442:          lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to k1 combination and kth covariate */
                   6443:          /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   6444:          /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   6445:          /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   6446:          vlv= nbcode[Tvaraff[k]][lv];
                   6447:          fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
                   6448:        }
                   6449:        fprintf(ficgp,"\n#\n");
                   6450:        if(invalidvarcomb[k1]){
                   6451:          fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   6452:          continue;
                   6453:        }
                   6454:        
                   6455:        fprintf(ficgp,"# hpijx=probability over h years, hp.jx is weighted by observed prev\n ");
                   6456:        fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" \n",subdirf2(optionfilefiname,"PROJ_"),cpt,k1);
                   6457:        fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Prevalence\" \n\
                   6458: set ter svg size 640, 480\n                                            \
                   6459: unset log y\n                                                          \
1.219     brouard  6460: plot [%.f:%.f]  ", ageminpar, agemaxpar);
1.227     brouard  6461:        for (i=1; i<= nlstate+1 ; i ++){  /* nlstate +1 p11 p21 p.1 */
                   6462:          /*#  V1  = 1  V2 =  0 yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
                   6463:          /*#   1    2   3    4    5      6  7   8   9   10   11 12  13   14  15 */   
                   6464:          /*# yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
                   6465:          /*#   1       2   3    4    5      6  7   8   9   10   11 12  13   14  15 */   
                   6466:          if(i==1){
                   6467:            fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"F_"));
                   6468:          }else{
                   6469:            fprintf(ficgp,",\\\n '' ");
                   6470:          }
                   6471:          if(cptcoveff ==0){ /* No covariate */
                   6472:            ioffset=2; /* Age is in 2 */
                   6473:            /*# yearproj age p11 p21 p31 p.1 p12 p22 p32 p.2 p13 p23 p33 p.3 p14 p24 p34 p.4*/
                   6474:            /*#   1       2   3   4   5  6    7  8   9   10  11  12  13  14  15  16  17  18 */
                   6475:            /*# V1  = 1 yearproj age p11 p21 p31 p.1 p12 p22 p32 p.2 p13 p23 p33 p.3 p14 p24 p34 p.4*/
                   6476:            /*#  1    2        3   4   5  6    7  8   9   10  11  12  13  14  15  16  17  18 */
                   6477:            fprintf(ficgp," u %d:(", ioffset); 
                   6478:            if(i==nlstate+1)
                   6479:              fprintf(ficgp," $%d/(1.-$%d)) t 'pw.%d' with line ",      \
                   6480:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate,cpt );
                   6481:            else
                   6482:              fprintf(ficgp," $%d/(1.-$%d)) t 'p%d%d' with line ",      \
                   6483:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate,i,cpt );
                   6484:          }else{ /* more than 2 covariates */
                   6485:            if(cptcoveff ==1){
                   6486:              ioffset=4; /* Age is in 4 */
                   6487:            }else{
                   6488:              ioffset=6; /* Age is in 6 */
                   6489:              /*#  V1  = 1  V2 =  0 yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
                   6490:              /*#   1    2   3    4    5      6  7   8   9   10   11 12  13   14  15 */
                   6491:            }   
                   6492:            fprintf(ficgp," u %d:(",ioffset); 
                   6493:            kl=0;
                   6494:            strcpy(gplotcondition,"(");
                   6495:            for (k=1; k<=cptcoveff; k++){    /* For each covariate writing the chain of conditions */
                   6496:              lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to combination k1 and covariate k */
                   6497:              /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   6498:              /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   6499:              /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   6500:              vlv= nbcode[Tvaraff[k]][lv]; /* Value of the modality of Tvaraff[k] */
                   6501:              kl++;
                   6502:              sprintf(gplotcondition+strlen(gplotcondition),"$%d==%d && $%d==%d " ,kl,Tvaraff[k], kl+1, nbcode[Tvaraff[k]][lv]);
                   6503:              kl++;
                   6504:              if(k <cptcoveff && cptcoveff>1)
                   6505:                sprintf(gplotcondition+strlen(gplotcondition)," && ");
                   6506:            }
                   6507:            strcpy(gplotcondition+strlen(gplotcondition),")");
                   6508:            /* 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 *\/ */
                   6509:            /*6+(cpt-1)*(nlstate+1)+1+(i-1)+(nlstate+1)*nlstate; 6+(1-1)*(2+1)+1+(1-1) +(2+1)*2=13 */ 
                   6510:            /*6+1+(i-1)+(nlstate+1)*nlstate; 6+1+(1-1) +(2+1)*2=13 */ 
                   6511:            /* ''  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*/
                   6512:            if(i==nlstate+1){
                   6513:              fprintf(ficgp,"%s ? $%d/(1.-$%d) : 1/0) t 'p.%d' with line ", gplotcondition, \
                   6514:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate,cpt );
                   6515:            }else{
                   6516:              fprintf(ficgp,"%s ? $%d/(1.-$%d) : 1/0) t 'p%d%d' with line ", gplotcondition, \
                   6517:                      ioffset+(cpt-1)*(nlstate+1)+1+(i-1), ioffset +1+(i-1)+(nlstate+1)*nlstate,i,cpt );
                   6518:            }
                   6519:          } /* end if covariate */
                   6520:        } /* nlstate */
                   6521:        fprintf(ficgp,"\nset out\n");
1.223     brouard  6522:       } /* end cpt state*/
                   6523:     } /* end covariate */
                   6524:   } /* End if prevfcast */
1.227     brouard  6525:   
                   6526:   
1.223     brouard  6527:   /* proba elementaires */
                   6528:   fprintf(ficgp,"\n##############\n#MLE estimated parameters\n#############\n");
1.126     brouard  6529:   for(i=1,jk=1; i <=nlstate; i++){
1.187     brouard  6530:     fprintf(ficgp,"# initial state %d\n",i);
1.126     brouard  6531:     for(k=1; k <=(nlstate+ndeath); k++){
                   6532:       if (k != i) {
1.227     brouard  6533:        fprintf(ficgp,"#   current state %d\n",k);
                   6534:        for(j=1; j <=ncovmodel; j++){
                   6535:          fprintf(ficgp,"p%d=%f; ",jk,p[jk]);
                   6536:          jk++; 
                   6537:        }
                   6538:        fprintf(ficgp,"\n");
1.126     brouard  6539:       }
                   6540:     }
1.223     brouard  6541:   }
1.187     brouard  6542:   fprintf(ficgp,"##############\n#\n");
1.227     brouard  6543:   
1.145     brouard  6544:   /*goto avoid;*/
1.200     brouard  6545:   fprintf(ficgp,"\n##############\n#Graphics of probabilities or incidences\n#############\n");
1.187     brouard  6546:   fprintf(ficgp,"# logi(p12/p11)=a12+b12*age+c12age*age+d12*V1+e12*V1*age\n");
                   6547:   fprintf(ficgp,"# logi(p12/p11)=p1 +p2*age +p3*age*age+ p4*V1+ p5*V1*age\n");
                   6548:   fprintf(ficgp,"# logi(p13/p11)=a13+b13*age+c13age*age+d13*V1+e13*V1*age\n");
                   6549:   fprintf(ficgp,"# logi(p13/p11)=p6 +p7*age +p8*age*age+ p9*V1+ p10*V1*age\n");
                   6550:   fprintf(ficgp,"# p12+p13+p14+p11=1=p11(1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
                   6551:   fprintf(ficgp,"#                      +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age)+...)\n");
                   6552:   fprintf(ficgp,"# p11=1/(1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
                   6553:   fprintf(ficgp,"#                      +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age)+...)\n");
                   6554:   fprintf(ficgp,"# p12=exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)/\n");
                   6555:   fprintf(ficgp,"#     (1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
                   6556:   fprintf(ficgp,"#       +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age))\n");
                   6557:   fprintf(ficgp,"#       +exp(a14+b14*age+c14age*age+d14*V1+e14*V1*age)+...)\n");
                   6558:   fprintf(ficgp,"#\n");
1.223     brouard  6559:   for(ng=1; ng<=3;ng++){ /* Number of graphics: first is logit, 2nd is probabilities, third is incidences per year*/
                   6560:     fprintf(ficgp,"# ng=%d\n",ng);
1.225     brouard  6561:     fprintf(ficgp,"#   jk=1 to 2^%d=%d\n",cptcoveff,m);
1.223     brouard  6562:     for(jk=1; jk <=m; jk++) {
                   6563:       fprintf(ficgp,"#    jk=%d\n",jk);
                   6564:       fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" ",subdirf2(optionfilefiname,"PE_"),jk,ng);
                   6565:       fprintf(ficgp,"\nset ter svg size 640, 480 ");
                   6566:       if (ng==1){
                   6567:        fprintf(ficgp,"\nset ylabel \"Value of the logit of the model\"\n"); /* exp(a12+b12*x) could be nice */
                   6568:        fprintf(ficgp,"\nunset log y");
                   6569:       }else if (ng==2){
                   6570:        fprintf(ficgp,"\nset ylabel \"Probability\"\n");
                   6571:        fprintf(ficgp,"\nset log y");
                   6572:       }else if (ng==3){
                   6573:        fprintf(ficgp,"\nset ylabel \"Quasi-incidence per year\"\n");
                   6574:        fprintf(ficgp,"\nset log y");
                   6575:       }else
                   6576:        fprintf(ficgp,"\nunset title ");
                   6577:       fprintf(ficgp,"\nplot  [%.f:%.f] ",ageminpar,agemaxpar);
                   6578:       i=1;
                   6579:       for(k2=1; k2<=nlstate; k2++) {
                   6580:        k3=i;
                   6581:        for(k=1; k<=(nlstate+ndeath); k++) {
                   6582:          if (k != k2){
                   6583:            switch( ng) {
                   6584:            case 1:
                   6585:              if(nagesqr==0)
                   6586:                fprintf(ficgp," p%d+p%d*x",i,i+1);
                   6587:              else /* nagesqr =1 */
                   6588:                fprintf(ficgp," p%d+p%d*x+p%d*x*x",i,i+1,i+1+nagesqr);
                   6589:              break;
                   6590:            case 2: /* ng=2 */
                   6591:              if(nagesqr==0)
                   6592:                fprintf(ficgp," exp(p%d+p%d*x",i,i+1);
                   6593:              else /* nagesqr =1 */
                   6594:                fprintf(ficgp," exp(p%d+p%d*x+p%d*x*x",i,i+1,i+1+nagesqr);
                   6595:              break;
                   6596:            case 3:
                   6597:              if(nagesqr==0)
                   6598:                fprintf(ficgp," %f*exp(p%d+p%d*x",YEARM/stepm,i,i+1);
                   6599:              else /* nagesqr =1 */
                   6600:                fprintf(ficgp," %f*exp(p%d+p%d*x+p%d*x*x",YEARM/stepm,i,i+1,i+1+nagesqr);
                   6601:              break;
                   6602:            }
                   6603:            ij=1;/* To be checked else nbcode[0][0] wrong */
                   6604:            for(j=3; j <=ncovmodel-nagesqr; j++) {
                   6605:              /* printf("Tage[%d]=%d, j=%d\n", ij, Tage[ij], j); */
                   6606:              if(ij <=cptcovage) { /* Bug valgrind */
                   6607:                if((j-2)==Tage[ij]) { /* Bug valgrind */
                   6608:                  fprintf(ficgp,"+p%d*%d*x",i+j+nagesqr-1,nbcode[Tvar[j-2]][codtabm(jk,j-2)]);
                   6609:                  /* fprintf(ficgp,"+p%d*%d*x",i+j+nagesqr-1,nbcode[Tvar[j-2]][codtabm(jk,Tvar[j-2])]); */
                   6610:                  ij++;
                   6611:                }
                   6612:              }
                   6613:              else
1.227     brouard  6614:                fprintf(ficgp,"+p%d*%d",i+j+nagesqr-1,nbcode[Tvar[j-2]][codtabm(jk,j-2)]); /* Valgrind bug nbcode */
1.223     brouard  6615:            }
                   6616:          }else{
                   6617:            i=i-ncovmodel;
                   6618:            if(ng !=1 ) /* For logit formula of log p11 is more difficult to get */
                   6619:              fprintf(ficgp," (1.");
                   6620:          }
1.227     brouard  6621:          
1.223     brouard  6622:          if(ng != 1){
                   6623:            fprintf(ficgp,")/(1");
1.227     brouard  6624:            
1.223     brouard  6625:            for(k1=1; k1 <=nlstate; k1++){ 
                   6626:              if(nagesqr==0)
                   6627:                fprintf(ficgp,"+exp(p%d+p%d*x",k3+(k1-1)*ncovmodel,k3+(k1-1)*ncovmodel+1);
                   6628:              else /* nagesqr =1 */
                   6629:                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  6630:               
1.223     brouard  6631:              ij=1;
                   6632:              for(j=3; j <=ncovmodel-nagesqr; j++){
                   6633:                if(ij <=cptcovage) { /* Bug valgrind */
                   6634:                  if((j-2)==Tage[ij]) { /* Bug valgrind */
                   6635:                    fprintf(ficgp,"+p%d*%d*x",k3+(k1-1)*ncovmodel+1+j-2+nagesqr,nbcode[Tvar[j-2]][codtabm(jk,j-2)]);
                   6636:                    /* fprintf(ficgp,"+p%d*%d*x",k3+(k1-1)*ncovmodel+1+j-2+nagesqr,nbcode[Tvar[j-2]][codtabm(jk,Tvar[j-2])]); */
                   6637:                    ij++;
                   6638:                  }
                   6639:                }
                   6640:                else
1.225     brouard  6641:                  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  6642:              }
                   6643:              fprintf(ficgp,")");
                   6644:            }
                   6645:            fprintf(ficgp,")");
                   6646:            if(ng ==2)
                   6647:              fprintf(ficgp," t \"p%d%d\" ", k2,k);
                   6648:            else /* ng= 3 */
                   6649:              fprintf(ficgp," t \"i%d%d\" ", k2,k);
                   6650:          }else{ /* end ng <> 1 */
                   6651:            if( k !=k2) /* logit p11 is hard to draw */
                   6652:              fprintf(ficgp," t \"logit(p%d%d)\" ", k2,k);
                   6653:          }
                   6654:          if ((k+k2)!= (nlstate*2+ndeath) && ng != 1)
                   6655:            fprintf(ficgp,",");
                   6656:          if (ng == 1 && k!=k2 && (k+k2)!= (nlstate*2+ndeath))
                   6657:            fprintf(ficgp,",");
                   6658:          i=i+ncovmodel;
                   6659:        } /* end k */
                   6660:       } /* end k2 */
                   6661:       fprintf(ficgp,"\n set out\n");
                   6662:     } /* end jk */
                   6663:   } /* end ng */
                   6664:   /* avoid: */
                   6665:   fflush(ficgp); 
1.126     brouard  6666: }  /* end gnuplot */
                   6667: 
                   6668: 
                   6669: /*************** Moving average **************/
1.219     brouard  6670: /* int movingaverage(double ***probs, double bage, double fage, double ***mobaverage, int mobilav, double bageout, double fageout){ */
1.222     brouard  6671:  int movingaverage(double ***probs, double bage, double fage, double ***mobaverage, int mobilav){
1.218     brouard  6672:    
1.222     brouard  6673:    int i, cpt, cptcod;
                   6674:    int modcovmax =1;
                   6675:    int mobilavrange, mob;
                   6676:    int iage=0;
                   6677: 
                   6678:    double sum=0.;
                   6679:    double age;
                   6680:    double *sumnewp, *sumnewm;
                   6681:    double *agemingood, *agemaxgood; /* Currently identical for all covariates */
                   6682:   
                   6683:   
1.225     brouard  6684:    /* modcovmax=2*cptcoveff;/\* Max number of modalities. We suppose  */
1.222     brouard  6685:    /*             a covariate has 2 modalities, should be equal to ncovcombmax  *\/ */
                   6686: 
                   6687:    sumnewp = vector(1,ncovcombmax);
                   6688:    sumnewm = vector(1,ncovcombmax);
                   6689:    agemingood = vector(1,ncovcombmax); 
                   6690:    agemaxgood = vector(1,ncovcombmax);
                   6691: 
                   6692:    for (cptcod=1;cptcod<=ncovcombmax;cptcod++){
                   6693:      sumnewm[cptcod]=0.;
                   6694:      sumnewp[cptcod]=0.;
                   6695:      agemingood[cptcod]=0;
                   6696:      agemaxgood[cptcod]=0;
                   6697:    }
                   6698:    if (cptcovn<1) ncovcombmax=1; /* At least 1 pass */
                   6699:   
                   6700:    if(mobilav==1||mobilav ==3 ||mobilav==5 ||mobilav== 7){
                   6701:      if(mobilav==1) mobilavrange=5; /* default */
                   6702:      else mobilavrange=mobilav;
                   6703:      for (age=bage; age<=fage; age++)
                   6704:        for (i=1; i<=nlstate;i++)
                   6705:         for (cptcod=1;cptcod<=ncovcombmax;cptcod++)
                   6706:           mobaverage[(int)age][i][cptcod]=probs[(int)age][i][cptcod];
                   6707:      /* We keep the original values on the extreme ages bage, fage and for 
                   6708:        fage+1 and bage-1 we use a 3 terms moving average; for fage+2 bage+2
                   6709:        we use a 5 terms etc. until the borders are no more concerned. 
                   6710:      */ 
                   6711:      for (mob=3;mob <=mobilavrange;mob=mob+2){
                   6712:        for (age=bage+(mob-1)/2; age<=fage-(mob-1)/2; age++){
                   6713:         for (i=1; i<=nlstate;i++){
                   6714:           for (cptcod=1;cptcod<=ncovcombmax;cptcod++){
                   6715:             mobaverage[(int)age][i][cptcod] =probs[(int)age][i][cptcod];
                   6716:             for (cpt=1;cpt<=(mob-1)/2;cpt++){
                   6717:               mobaverage[(int)age][i][cptcod] +=probs[(int)age-cpt][i][cptcod];
                   6718:               mobaverage[(int)age][i][cptcod] +=probs[(int)age+cpt][i][cptcod];
                   6719:             }
                   6720:             mobaverage[(int)age][i][cptcod]=mobaverage[(int)age][i][cptcod]/mob;
                   6721:           }
                   6722:         }
                   6723:        }/* end age */
                   6724:      }/* end mob */
                   6725:    }else
                   6726:      return -1;
                   6727:    for (cptcod=1;cptcod<=ncovcombmax;cptcod++){
                   6728:      /* for (age=bage+(mob-1)/2; age<=fage-(mob-1)/2; age++){ */
                   6729:      if(invalidvarcomb[cptcod]){
                   6730:        printf("\nCombination (%d) ignored because no cases \n",cptcod); 
                   6731:        continue;
                   6732:      }
1.219     brouard  6733: 
1.222     brouard  6734:      agemingood[cptcod]=fage-(mob-1)/2;
                   6735:      for (age=fage-(mob-1)/2; age>=bage; age--){/* From oldest to youngest, finding the youngest wrong */
                   6736:        sumnewm[cptcod]=0.;
                   6737:        for (i=1; i<=nlstate;i++){
                   6738:         sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
                   6739:        }
                   6740:        if(fabs(sumnewm[cptcod] - 1.) <= 1.e-3) { /* good */
                   6741:         agemingood[cptcod]=age;
                   6742:        }else{ /* bad */
                   6743:         for (i=1; i<=nlstate;i++){
                   6744:           mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemingood[cptcod]][i][cptcod];
                   6745:         } /* i */
                   6746:        } /* end bad */
                   6747:      }/* age */
                   6748:      sum=0.;
                   6749:      for (i=1; i<=nlstate;i++){
                   6750:        sum+=mobaverage[(int)agemingood[cptcod]][i][cptcod];
                   6751:      }
                   6752:      if(fabs(sum - 1.) > 1.e-3) { /* bad */
                   6753:        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);
                   6754:        /* for (i=1; i<=nlstate;i++){ */
                   6755:        /*   mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemingood[cptcod]][i][cptcod]; */
                   6756:        /* } /\* i *\/ */
                   6757:      } /* end bad */
                   6758:      /* else{ /\* We found some ages summing to one, we will smooth the oldest *\/ */
                   6759:      /* From youngest, finding the oldest wrong */
                   6760:      agemaxgood[cptcod]=bage+(mob-1)/2;
                   6761:      for (age=bage+(mob-1)/2; age<=fage; age++){
                   6762:        sumnewm[cptcod]=0.;
                   6763:        for (i=1; i<=nlstate;i++){
                   6764:         sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
                   6765:        }
                   6766:        if(fabs(sumnewm[cptcod] - 1.) <= 1.e-3) { /* good */
                   6767:         agemaxgood[cptcod]=age;
                   6768:        }else{ /* bad */
                   6769:         for (i=1; i<=nlstate;i++){
                   6770:           mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemaxgood[cptcod]][i][cptcod];
                   6771:         } /* i */
                   6772:        } /* end bad */
                   6773:      }/* age */
                   6774:      sum=0.;
                   6775:      for (i=1; i<=nlstate;i++){
                   6776:        sum+=mobaverage[(int)agemaxgood[cptcod]][i][cptcod];
                   6777:      }
                   6778:      if(fabs(sum - 1.) > 1.e-3) { /* bad */
                   6779:        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);
                   6780:        /* for (i=1; i<=nlstate;i++){ */
                   6781:        /*   mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemingood[cptcod]][i][cptcod]; */
                   6782:        /* } /\* i *\/ */
                   6783:      } /* end bad */
                   6784:                
                   6785:      for (age=bage; age<=fage; age++){
                   6786:        printf("%d %d ", cptcod, (int)age);
                   6787:        sumnewp[cptcod]=0.;
                   6788:        sumnewm[cptcod]=0.;
                   6789:        for (i=1; i<=nlstate;i++){
                   6790:         sumnewp[cptcod]+=probs[(int)age][i][cptcod];
                   6791:         sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
                   6792:         /* printf("%.4f %.4f ",probs[(int)age][i][cptcod], mobaverage[(int)age][i][cptcod]); */
                   6793:        }
                   6794:        /* printf("%.4f %.4f \n",sumnewp[cptcod], sumnewm[cptcod]); */
                   6795:      }
                   6796:      /* printf("\n"); */
                   6797:      /* } */
                   6798:      /* brutal averaging */
                   6799:      for (i=1; i<=nlstate;i++){
                   6800:        for (age=1; age<=bage; age++){
                   6801:         mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemingood[cptcod]][i][cptcod];
                   6802:         /* printf("age=%d i=%d cptcod=%d mobaverage=%.4f \n",(int)age,i, cptcod, mobaverage[(int)age][i][cptcod]); */
                   6803:        }       
                   6804:        for (age=fage; age<=AGESUP; age++){
                   6805:         mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemaxgood[cptcod]][i][cptcod];
                   6806:         /* printf("age=%d i=%d cptcod=%d mobaverage=%.4f \n",(int)age,i, cptcod, mobaverage[(int)age][i][cptcod]); */
                   6807:        }
                   6808:      } /* end i status */
                   6809:      for (i=nlstate+1; i<=nlstate+ndeath;i++){
                   6810:        for (age=1; age<=AGESUP; age++){
                   6811:         /*printf("i=%d, age=%d, cptcod=%d\n",i, (int)age, cptcod);*/
                   6812:         mobaverage[(int)age][i][cptcod]=0.;
                   6813:        }
                   6814:      }
                   6815:    }/* end cptcod */
                   6816:    free_vector(sumnewm,1, ncovcombmax);
                   6817:    free_vector(sumnewp,1, ncovcombmax);
                   6818:    free_vector(agemaxgood,1, ncovcombmax);
                   6819:    free_vector(agemingood,1, ncovcombmax);
                   6820:    return 0;
                   6821:  }/* End movingaverage */
1.218     brouard  6822:  
1.126     brouard  6823: 
                   6824: /************** Forecasting ******************/
1.225     brouard  6825: 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  6826:   /* proj1, year, month, day of starting projection 
                   6827:      agemin, agemax range of age
                   6828:      dateprev1 dateprev2 range of dates during which prevalence is computed
                   6829:      anproj2 year of en of projection (same day and month as proj1).
                   6830:   */
1.164     brouard  6831:   int yearp, stepsize, hstepm, nhstepm, j, k, cptcod, i, h, i1;
1.126     brouard  6832:   double agec; /* generic age */
                   6833:   double agelim, ppij, yp,yp1,yp2,jprojmean,mprojmean,anprojmean;
                   6834:   double *popeffectif,*popcount;
                   6835:   double ***p3mat;
1.218     brouard  6836:   /* double ***mobaverage; */
1.126     brouard  6837:   char fileresf[FILENAMELENGTH];
                   6838: 
                   6839:   agelim=AGESUP;
1.211     brouard  6840:   /* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people
                   6841:      in each health status at the date of interview (if between dateprev1 and dateprev2).
                   6842:      We still use firstpass and lastpass as another selection.
                   6843:   */
1.214     brouard  6844:   /* freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint,strstart,\ */
                   6845:   /*         firstpass, lastpass,  stepm,  weightopt, model); */
1.126     brouard  6846:  
1.201     brouard  6847:   strcpy(fileresf,"F_"); 
                   6848:   strcat(fileresf,fileresu);
1.126     brouard  6849:   if((ficresf=fopen(fileresf,"w"))==NULL) {
                   6850:     printf("Problem with forecast resultfile: %s\n", fileresf);
                   6851:     fprintf(ficlog,"Problem with forecast resultfile: %s\n", fileresf);
                   6852:   }
1.215     brouard  6853:   printf("Computing forecasting: result on file '%s', please wait... \n", fileresf);
                   6854:   fprintf(ficlog,"Computing forecasting: result on file '%s', please wait... \n", fileresf);
1.126     brouard  6855: 
1.225     brouard  6856:   if (cptcoveff==0) ncodemax[cptcoveff]=1;
1.126     brouard  6857: 
                   6858: 
                   6859:   stepsize=(int) (stepm+YEARM-1)/YEARM;
                   6860:   if (stepm<=12) stepsize=1;
                   6861:   if(estepm < stepm){
                   6862:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   6863:   }
                   6864:   else  hstepm=estepm;   
                   6865: 
                   6866:   hstepm=hstepm/stepm; 
                   6867:   yp1=modf(dateintmean,&yp);/* extracts integral of datemean in yp  and
                   6868:                                fractional in yp1 */
                   6869:   anprojmean=yp;
                   6870:   yp2=modf((yp1*12),&yp);
                   6871:   mprojmean=yp;
                   6872:   yp1=modf((yp2*30.5),&yp);
                   6873:   jprojmean=yp;
                   6874:   if(jprojmean==0) jprojmean=1;
                   6875:   if(mprojmean==0) jprojmean=1;
                   6876: 
1.227     brouard  6877:   i1=pow(2,cptcoveff);
1.126     brouard  6878:   if (cptcovn < 1){i1=1;}
                   6879:   
                   6880:   fprintf(ficresf,"# Mean day of interviews %.lf/%.lf/%.lf (%.2f) between %.2f and %.2f \n",jprojmean,mprojmean,anprojmean,dateintmean,dateprev1,dateprev2); 
                   6881:   
                   6882:   fprintf(ficresf,"#****** Routine prevforecast **\n");
1.227     brouard  6883:   
1.126     brouard  6884: /*           if (h==(int)(YEARM*yearp)){ */
1.227     brouard  6885:   for(k=1;k<=i1;k++){
                   6886:     if(invalidvarcomb[k]){
                   6887:       printf("\nCombination (%d) projection ignored because no cases \n",k); 
                   6888:       continue;
                   6889:     }
                   6890:     fprintf(ficresf,"\n#****** hpijx=probability over h years, hp.jx is weighted by observed prev \n#");
                   6891:     for(j=1;j<=cptcoveff;j++) {
                   6892:       fprintf(ficresf," V%d (=) %d",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   6893:     }
                   6894:     fprintf(ficresf," yearproj age");
                   6895:     for(j=1; j<=nlstate+ndeath;j++){ 
                   6896:       for(i=1; i<=nlstate;i++)               
                   6897:        fprintf(ficresf," p%d%d",i,j);
                   6898:       fprintf(ficresf," wp.%d",j);
                   6899:     }
                   6900:     for (yearp=0; yearp<=(anproj2-anproj1);yearp +=stepsize) {
                   6901:       fprintf(ficresf,"\n");
                   6902:       fprintf(ficresf,"\n# Forecasting at date %.lf/%.lf/%.lf ",jproj1,mproj1,anproj1+yearp);   
                   6903:       for (agec=fage; agec>=(ageminpar-1); agec--){ 
                   6904:        nhstepm=(int) rint((agelim-agec)*YEARM/stepm); 
                   6905:        nhstepm = nhstepm/hstepm; 
                   6906:        p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   6907:        oldm=oldms;savm=savms;
                   6908:        hpxij(p3mat,nhstepm,agec,hstepm,p,nlstate,stepm,oldm,savm, k);
                   6909:        
                   6910:        for (h=0; h<=nhstepm; h++){
                   6911:          if (h*hstepm/YEARM*stepm ==yearp) {
                   6912:            fprintf(ficresf,"\n");
                   6913:            for(j=1;j<=cptcoveff;j++) 
                   6914:              fprintf(ficresf,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   6915:            fprintf(ficresf,"%.f %.f ",anproj1+yearp,agec+h*hstepm/YEARM*stepm);
                   6916:          } 
                   6917:          for(j=1; j<=nlstate+ndeath;j++) {
                   6918:            ppij=0.;
                   6919:            for(i=1; i<=nlstate;i++) {
                   6920:              if (mobilav==1) 
                   6921:                ppij=ppij+p3mat[i][j][h]*mobaverage[(int)agec][i][k];
                   6922:              else {
                   6923:                ppij=ppij+p3mat[i][j][h]*probs[(int)(agec)][i][k];
                   6924:              }
                   6925:              if (h*hstepm/YEARM*stepm== yearp) {
                   6926:                fprintf(ficresf," %.3f", p3mat[i][j][h]);
                   6927:              }
                   6928:            } /* end i */
                   6929:            if (h*hstepm/YEARM*stepm==yearp) {
                   6930:              fprintf(ficresf," %.3f", ppij);
                   6931:            }
                   6932:          }/* end j */
                   6933:        } /* end h */
                   6934:        free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   6935:       } /* end agec */
                   6936:     } /* end yearp */
                   6937:   } /* end  k */
1.219     brouard  6938:        
1.126     brouard  6939:   fclose(ficresf);
1.215     brouard  6940:   printf("End of Computing forecasting \n");
                   6941:   fprintf(ficlog,"End of Computing forecasting\n");
                   6942: 
1.126     brouard  6943: }
                   6944: 
1.218     brouard  6945: /* /\************** Back Forecasting ******************\/ */
1.225     brouard  6946: /* 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  6947: /*   /\* back1, year, month, day of starting backection  */
                   6948: /*      agemin, agemax range of age */
                   6949: /*      dateprev1 dateprev2 range of dates during which prevalence is computed */
                   6950: /*      anback2 year of en of backection (same day and month as back1). */
                   6951: /*   *\/ */
                   6952: /*   int yearp, stepsize, hstepm, nhstepm, j, k, cptcod, i, h, i1; */
                   6953: /*   double agec; /\* generic age *\/ */
                   6954: /*   double agelim, ppij, yp,yp1,yp2,jprojmean,mprojmean,anprojmean; */
                   6955: /*   double *popeffectif,*popcount; */
                   6956: /*   double ***p3mat; */
                   6957: /*   /\* double ***mobaverage; *\/ */
                   6958: /*   char fileresfb[FILENAMELENGTH]; */
                   6959:        
                   6960: /*   agelim=AGESUP; */
                   6961: /*   /\* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people */
                   6962: /*      in each health status at the date of interview (if between dateprev1 and dateprev2). */
                   6963: /*      We still use firstpass and lastpass as another selection. */
                   6964: /*   *\/ */
                   6965: /*   /\* freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint,strstart,\ *\/ */
                   6966: /*   /\*             firstpass, lastpass,  stepm,  weightopt, model); *\/ */
                   6967: /*   prevalence(probs, ageminpar, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass); */
                   6968:        
                   6969: /*   strcpy(fileresfb,"FB_");  */
                   6970: /*   strcat(fileresfb,fileresu); */
                   6971: /*   if((ficresfb=fopen(fileresfb,"w"))==NULL) { */
                   6972: /*     printf("Problem with back forecast resultfile: %s\n", fileresfb); */
                   6973: /*     fprintf(ficlog,"Problem with back forecast resultfile: %s\n", fileresfb); */
                   6974: /*   } */
                   6975: /*   printf("Computing back forecasting: result on file '%s', please wait... \n", fileresfb); */
                   6976: /*   fprintf(ficlog,"Computing back forecasting: result on file '%s', please wait... \n", fileresfb); */
                   6977:        
1.225     brouard  6978: /*   if (cptcoveff==0) ncodemax[cptcoveff]=1; */
1.218     brouard  6979:        
                   6980: /*   /\* if (mobilav!=0) { *\/ */
                   6981: /*   /\*   mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); *\/ */
                   6982: /*   /\*   if (movingaverage(probs, ageminpar, fage, mobaverage,mobilav)!=0){ *\/ */
                   6983: /*   /\*     fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav); *\/ */
                   6984: /*   /\*     printf(" Error in movingaverage mobilav=%d\n",mobilav); *\/ */
                   6985: /*   /\*   } *\/ */
                   6986: /*   /\* } *\/ */
                   6987:        
                   6988: /*   stepsize=(int) (stepm+YEARM-1)/YEARM; */
                   6989: /*   if (stepm<=12) stepsize=1; */
                   6990: /*   if(estepm < stepm){ */
                   6991: /*     printf ("Problem %d lower than %d\n",estepm, stepm); */
                   6992: /*   } */
                   6993: /*   else  hstepm=estepm;    */
                   6994:        
                   6995: /*   hstepm=hstepm/stepm;  */
                   6996: /*   yp1=modf(dateintmean,&yp);/\* extracts integral of datemean in yp  and */
                   6997: /*                                fractional in yp1 *\/ */
                   6998: /*   anprojmean=yp; */
                   6999: /*   yp2=modf((yp1*12),&yp); */
                   7000: /*   mprojmean=yp; */
                   7001: /*   yp1=modf((yp2*30.5),&yp); */
                   7002: /*   jprojmean=yp; */
                   7003: /*   if(jprojmean==0) jprojmean=1; */
                   7004: /*   if(mprojmean==0) jprojmean=1; */
                   7005:        
1.225     brouard  7006: /*   i1=cptcoveff; */
1.218     brouard  7007: /*   if (cptcovn < 1){i1=1;} */
1.217     brouard  7008:   
1.218     brouard  7009: /*   fprintf(ficresfb,"# Mean day of interviews %.lf/%.lf/%.lf (%.2f) between %.2f and %.2f \n",jprojmean,mprojmean,anprojmean,dateintmean,dateprev1,dateprev2);  */
1.217     brouard  7010:   
1.218     brouard  7011: /*   fprintf(ficresfb,"#****** Routine prevbackforecast **\n"); */
                   7012:        
                   7013: /*     /\*           if (h==(int)(YEARM*yearp)){ *\/ */
                   7014: /*   for(cptcov=1, k=0;cptcov<=i1;cptcov++){ */
1.225     brouard  7015: /*     for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){ */
1.218     brouard  7016: /*       k=k+1; */
                   7017: /*       fprintf(ficresfb,"\n#****** hbijx=probability over h years, hp.jx is weighted by observed prev \n#"); */
1.225     brouard  7018: /*       for(j=1;j<=cptcoveff;j++) { */
1.218     brouard  7019: /*                             fprintf(ficresfb," V%d (=) %d",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]); */
                   7020: /*       } */
                   7021: /*       fprintf(ficresfb," yearbproj age"); */
                   7022: /*       for(j=1; j<=nlstate+ndeath;j++){  */
                   7023: /*                             for(i=1; i<=nlstate;i++)               */
                   7024: /*           fprintf(ficresfb," p%d%d",i,j); */
                   7025: /*                             fprintf(ficresfb," p.%d",j); */
                   7026: /*       } */
                   7027: /*       for (yearp=0; yearp>=(anback2-anback1);yearp -=stepsize) {  */
                   7028: /*                             /\* for (yearp=0; yearp<=(anproj2-anproj1);yearp +=stepsize) {  *\/ */
                   7029: /*                             fprintf(ficresfb,"\n"); */
                   7030: /*                             fprintf(ficresfb,"\n# Back Forecasting at date %.lf/%.lf/%.lf ",jback1,mback1,anback1+yearp);    */
                   7031: /*                             for (agec=fage; agec>=(ageminpar-1); agec--){  */
                   7032: /*                                     nhstepm=(int) rint((agelim-agec)*YEARM/stepm);  */
                   7033: /*                                     nhstepm = nhstepm/hstepm;  */
                   7034: /*                                     p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); */
                   7035: /*                                     oldm=oldms;savm=savms; */
                   7036: /*                                     hbxij(p3mat,nhstepm,agec,hstepm,p,prevacurrent,nlstate,stepm,oldm,savm,oldm,savm, dnewm, doldm, dsavm, k);       */
                   7037: /*                                     for (h=0; h<=nhstepm; h++){ */
                   7038: /*                                             if (h*hstepm/YEARM*stepm ==yearp) { */
                   7039: /*               fprintf(ficresfb,"\n"); */
1.225     brouard  7040: /*               for(j=1;j<=cptcoveff;j++)  */
1.218     brouard  7041: /*                 fprintf(ficresfb,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]); */
                   7042: /*                                                     fprintf(ficresfb,"%.f %.f ",anback1+yearp,agec+h*hstepm/YEARM*stepm); */
                   7043: /*                                             }  */
                   7044: /*                                             for(j=1; j<=nlstate+ndeath;j++) { */
                   7045: /*                                                     ppij=0.; */
                   7046: /*                                                     for(i=1; i<=nlstate;i++) { */
                   7047: /*                                                             if (mobilav==1)  */
                   7048: /*                                                                     ppij=ppij+p3mat[i][j][h]*mobaverage[(int)agec][i][cptcod]; */
                   7049: /*                                                             else { */
                   7050: /*                                                                     ppij=ppij+p3mat[i][j][h]*probs[(int)(agec)][i][cptcod]; */
                   7051: /*                                                             } */
                   7052: /*                                                             if (h*hstepm/YEARM*stepm== yearp) { */
                   7053: /*                                                                     fprintf(ficresfb," %.3f", p3mat[i][j][h]); */
                   7054: /*                                                             } */
                   7055: /*                                                     } /\* end i *\/ */
                   7056: /*                                                     if (h*hstepm/YEARM*stepm==yearp) { */
                   7057: /*                                                             fprintf(ficresfb," %.3f", ppij); */
                   7058: /*                                                     } */
                   7059: /*                                             }/\* end j *\/ */
                   7060: /*                                     } /\* end h *\/ */
                   7061: /*                                     free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); */
                   7062: /*                             } /\* end agec *\/ */
                   7063: /*       } /\* end yearp *\/ */
                   7064: /*     } /\* end cptcod *\/ */
                   7065: /*   } /\* end  cptcov *\/ */
                   7066:        
                   7067: /*   /\* if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); *\/ */
                   7068:        
                   7069: /*   fclose(ficresfb); */
                   7070: /*   printf("End of Computing Back forecasting \n"); */
                   7071: /*   fprintf(ficlog,"End of Computing Back forecasting\n"); */
1.217     brouard  7072:        
1.218     brouard  7073: /* } */
1.217     brouard  7074: 
1.126     brouard  7075: /************** Forecasting *****not tested NB*************/
1.227     brouard  7076: /* 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  7077:   
1.227     brouard  7078: /*   int cpt, stepsize, hstepm, nhstepm, j,k,c, cptcod, i,h; */
                   7079: /*   int *popage; */
                   7080: /*   double calagedatem, agelim, kk1, kk2; */
                   7081: /*   double *popeffectif,*popcount; */
                   7082: /*   double ***p3mat,***tabpop,***tabpopprev; */
                   7083: /*   /\* double ***mobaverage; *\/ */
                   7084: /*   char filerespop[FILENAMELENGTH]; */
1.126     brouard  7085: 
1.227     brouard  7086: /*   tabpop= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   7087: /*   tabpopprev= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   7088: /*   agelim=AGESUP; */
                   7089: /*   calagedatem=(anpyram+mpyram/12.+jpyram/365.-dateintmean)*YEARM; */
1.126     brouard  7090:   
1.227     brouard  7091: /*   prevalence(probs, ageminpar, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass); */
1.126     brouard  7092:   
                   7093:   
1.227     brouard  7094: /*   strcpy(filerespop,"POP_");  */
                   7095: /*   strcat(filerespop,fileresu); */
                   7096: /*   if((ficrespop=fopen(filerespop,"w"))==NULL) { */
                   7097: /*     printf("Problem with forecast resultfile: %s\n", filerespop); */
                   7098: /*     fprintf(ficlog,"Problem with forecast resultfile: %s\n", filerespop); */
                   7099: /*   } */
                   7100: /*   printf("Computing forecasting: result on file '%s' \n", filerespop); */
                   7101: /*   fprintf(ficlog,"Computing forecasting: result on file '%s' \n", filerespop); */
1.126     brouard  7102: 
1.227     brouard  7103: /*   if (cptcoveff==0) ncodemax[cptcoveff]=1; */
1.126     brouard  7104: 
1.227     brouard  7105: /*   /\* if (mobilav!=0) { *\/ */
                   7106: /*   /\*   mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); *\/ */
                   7107: /*   /\*   if (movingaverage(probs, ageminpar, fage, mobaverage,mobilav)!=0){ *\/ */
                   7108: /*   /\*     fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav); *\/ */
                   7109: /*   /\*     printf(" Error in movingaverage mobilav=%d\n",mobilav); *\/ */
                   7110: /*   /\*   } *\/ */
                   7111: /*   /\* } *\/ */
1.126     brouard  7112: 
1.227     brouard  7113: /*   stepsize=(int) (stepm+YEARM-1)/YEARM; */
                   7114: /*   if (stepm<=12) stepsize=1; */
1.126     brouard  7115:   
1.227     brouard  7116: /*   agelim=AGESUP; */
1.126     brouard  7117:   
1.227     brouard  7118: /*   hstepm=1; */
                   7119: /*   hstepm=hstepm/stepm;  */
1.218     brouard  7120:        
1.227     brouard  7121: /*   if (popforecast==1) { */
                   7122: /*     if((ficpop=fopen(popfile,"r"))==NULL) { */
                   7123: /*       printf("Problem with population file : %s\n",popfile);exit(0); */
                   7124: /*       fprintf(ficlog,"Problem with population file : %s\n",popfile);exit(0); */
                   7125: /*     }  */
                   7126: /*     popage=ivector(0,AGESUP); */
                   7127: /*     popeffectif=vector(0,AGESUP); */
                   7128: /*     popcount=vector(0,AGESUP); */
1.126     brouard  7129:     
1.227     brouard  7130: /*     i=1;    */
                   7131: /*     while ((c=fscanf(ficpop,"%d %lf\n",&popage[i],&popcount[i])) != EOF) i=i+1; */
1.218     brouard  7132:     
1.227     brouard  7133: /*     imx=i; */
                   7134: /*     for (i=1; i<imx;i++) popeffectif[popage[i]]=popcount[i]; */
                   7135: /*   } */
1.218     brouard  7136:   
1.227     brouard  7137: /*   for(cptcov=1,k=0;cptcov<=i2;cptcov++){ */
                   7138: /*     for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){ */
                   7139: /*       k=k+1; */
                   7140: /*       fprintf(ficrespop,"\n#******"); */
                   7141: /*       for(j=1;j<=cptcoveff;j++) { */
                   7142: /*     fprintf(ficrespop," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]); */
                   7143: /*       } */
                   7144: /*       fprintf(ficrespop,"******\n"); */
                   7145: /*       fprintf(ficrespop,"# Age"); */
                   7146: /*       for(j=1; j<=nlstate+ndeath;j++) fprintf(ficrespop," P.%d",j); */
                   7147: /*       if (popforecast==1)  fprintf(ficrespop," [Population]"); */
1.126     brouard  7148:       
1.227     brouard  7149: /*       for (cpt=0; cpt<=0;cpt++) {  */
                   7150: /*     fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);    */
1.126     brouard  7151:        
1.227     brouard  7152: /*     for (agedeb=(fage-((int)calagedatem %12/12.)); agedeb>=(ageminpar-((int)calagedatem %12)/12.); agedeb--){  */
                   7153: /*       nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm);  */
                   7154: /*       nhstepm = nhstepm/hstepm;  */
1.126     brouard  7155:          
1.227     brouard  7156: /*       p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); */
                   7157: /*       oldm=oldms;savm=savms; */
                   7158: /*       hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);   */
1.218     brouard  7159:          
1.227     brouard  7160: /*       for (h=0; h<=nhstepm; h++){ */
                   7161: /*         if (h==(int) (calagedatem+YEARM*cpt)) { */
                   7162: /*           fprintf(ficrespop,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm); */
                   7163: /*         }  */
                   7164: /*         for(j=1; j<=nlstate+ndeath;j++) { */
                   7165: /*           kk1=0.;kk2=0; */
                   7166: /*           for(i=1; i<=nlstate;i++) {               */
                   7167: /*             if (mobilav==1)  */
                   7168: /*               kk1=kk1+p3mat[i][j][h]*mobaverage[(int)agedeb+1][i][cptcod]; */
                   7169: /*             else { */
                   7170: /*               kk1=kk1+p3mat[i][j][h]*probs[(int)(agedeb+1)][i][cptcod]; */
                   7171: /*             } */
                   7172: /*           } */
                   7173: /*           if (h==(int)(calagedatem+12*cpt)){ */
                   7174: /*             tabpop[(int)(agedeb)][j][cptcod]=kk1; */
                   7175: /*             /\*fprintf(ficrespop," %.3f", kk1); */
                   7176: /*               if (popforecast==1) fprintf(ficrespop," [%.f]", kk1*popeffectif[(int)agedeb+1]);*\/ */
                   7177: /*           } */
                   7178: /*         } */
                   7179: /*         for(i=1; i<=nlstate;i++){ */
                   7180: /*           kk1=0.; */
                   7181: /*           for(j=1; j<=nlstate;j++){ */
                   7182: /*             kk1= kk1+tabpop[(int)(agedeb)][j][cptcod];  */
                   7183: /*           } */
                   7184: /*           tabpopprev[(int)(agedeb)][i][cptcod]=tabpop[(int)(agedeb)][i][cptcod]/kk1*popeffectif[(int)(agedeb+(calagedatem+12*cpt)*hstepm/YEARM*stepm-1)]; */
                   7185: /*         } */
1.218     brouard  7186:            
1.227     brouard  7187: /*         if (h==(int)(calagedatem+12*cpt)) */
                   7188: /*           for(j=1; j<=nlstate;j++)  */
                   7189: /*             fprintf(ficrespop," %15.2f",tabpopprev[(int)(agedeb+1)][j][cptcod]); */
                   7190: /*       } */
                   7191: /*       free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); */
                   7192: /*     } */
                   7193: /*       } */
1.218     brouard  7194:       
1.227     brouard  7195: /*       /\******\/ */
1.218     brouard  7196:       
1.227     brouard  7197: /*       for (cpt=1; cpt<=(anpyram1-anpyram);cpt++) {  */
                   7198: /*     fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);    */
                   7199: /*     for (agedeb=(fage-((int)calagedatem %12/12.)); agedeb>=(ageminpar-((int)calagedatem %12)/12.); agedeb--){  */
                   7200: /*       nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm);  */
                   7201: /*       nhstepm = nhstepm/hstepm;  */
1.126     brouard  7202:          
1.227     brouard  7203: /*       p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); */
                   7204: /*       oldm=oldms;savm=savms; */
                   7205: /*       hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);   */
                   7206: /*       for (h=0; h<=nhstepm; h++){ */
                   7207: /*         if (h==(int) (calagedatem+YEARM*cpt)) { */
                   7208: /*           fprintf(ficresf,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm); */
                   7209: /*         }  */
                   7210: /*         for(j=1; j<=nlstate+ndeath;j++) { */
                   7211: /*           kk1=0.;kk2=0; */
                   7212: /*           for(i=1; i<=nlstate;i++) {               */
                   7213: /*             kk1=kk1+p3mat[i][j][h]*tabpopprev[(int)agedeb+1][i][cptcod];     */
                   7214: /*           } */
                   7215: /*           if (h==(int)(calagedatem+12*cpt)) fprintf(ficresf," %15.2f", kk1);         */
                   7216: /*         } */
                   7217: /*       } */
                   7218: /*       free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); */
                   7219: /*     } */
                   7220: /*       } */
                   7221: /*     }  */
                   7222: /*   } */
1.218     brouard  7223:   
1.227     brouard  7224: /*   /\* if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); *\/ */
1.218     brouard  7225:   
1.227     brouard  7226: /*   if (popforecast==1) { */
                   7227: /*     free_ivector(popage,0,AGESUP); */
                   7228: /*     free_vector(popeffectif,0,AGESUP); */
                   7229: /*     free_vector(popcount,0,AGESUP); */
                   7230: /*   } */
                   7231: /*   free_ma3x(tabpop,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   7232: /*   free_ma3x(tabpopprev,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   7233: /*   fclose(ficrespop); */
                   7234: /* } /\* End of popforecast *\/ */
1.218     brouard  7235:  
1.126     brouard  7236: int fileappend(FILE *fichier, char *optionfich)
                   7237: {
                   7238:   if((fichier=fopen(optionfich,"a"))==NULL) {
                   7239:     printf("Problem with file: %s\n", optionfich);
                   7240:     fprintf(ficlog,"Problem with file: %s\n", optionfich);
                   7241:     return (0);
                   7242:   }
                   7243:   fflush(fichier);
                   7244:   return (1);
                   7245: }
                   7246: 
                   7247: 
                   7248: /**************** function prwizard **********************/
                   7249: void prwizard(int ncovmodel, int nlstate, int ndeath,  char model[], FILE *ficparo)
                   7250: {
                   7251: 
                   7252:   /* Wizard to print covariance matrix template */
                   7253: 
1.164     brouard  7254:   char ca[32], cb[32];
                   7255:   int i,j, k, li, lj, lk, ll, jj, npar, itimes;
1.126     brouard  7256:   int numlinepar;
                   7257: 
                   7258:   printf("# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   7259:   fprintf(ficparo,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   7260:   for(i=1; i <=nlstate; i++){
                   7261:     jj=0;
                   7262:     for(j=1; j <=nlstate+ndeath; j++){
                   7263:       if(j==i) continue;
                   7264:       jj++;
                   7265:       /*ca[0]= k+'a'-1;ca[1]='\0';*/
                   7266:       printf("%1d%1d",i,j);
                   7267:       fprintf(ficparo,"%1d%1d",i,j);
                   7268:       for(k=1; k<=ncovmodel;k++){
                   7269:        /*        printf(" %lf",param[i][j][k]); */
                   7270:        /*        fprintf(ficparo," %lf",param[i][j][k]); */
                   7271:        printf(" 0.");
                   7272:        fprintf(ficparo," 0.");
                   7273:       }
                   7274:       printf("\n");
                   7275:       fprintf(ficparo,"\n");
                   7276:     }
                   7277:   }
                   7278:   printf("# Scales (for hessian or gradient estimation)\n");
                   7279:   fprintf(ficparo,"# Scales (for hessian or gradient estimation)\n");
                   7280:   npar= (nlstate+ndeath-1)*nlstate*ncovmodel; /* Number of parameters*/ 
                   7281:   for(i=1; i <=nlstate; i++){
                   7282:     jj=0;
                   7283:     for(j=1; j <=nlstate+ndeath; j++){
                   7284:       if(j==i) continue;
                   7285:       jj++;
                   7286:       fprintf(ficparo,"%1d%1d",i,j);
                   7287:       printf("%1d%1d",i,j);
                   7288:       fflush(stdout);
                   7289:       for(k=1; k<=ncovmodel;k++){
                   7290:        /*      printf(" %le",delti3[i][j][k]); */
                   7291:        /*      fprintf(ficparo," %le",delti3[i][j][k]); */
                   7292:        printf(" 0.");
                   7293:        fprintf(ficparo," 0.");
                   7294:       }
                   7295:       numlinepar++;
                   7296:       printf("\n");
                   7297:       fprintf(ficparo,"\n");
                   7298:     }
                   7299:   }
                   7300:   printf("# Covariance matrix\n");
                   7301: /* # 121 Var(a12)\n\ */
                   7302: /* # 122 Cov(b12,a12) Var(b12)\n\ */
                   7303: /* # 131 Cov(a13,a12) Cov(a13,b12, Var(a13)\n\ */
                   7304: /* # 132 Cov(b13,a12) Cov(b13,b12, Cov(b13,a13) Var(b13)\n\ */
                   7305: /* # 212 Cov(a21,a12) Cov(a21,b12, Cov(a21,a13) Cov(a21,b13) Var(a21)\n\ */
                   7306: /* # 212 Cov(b21,a12) Cov(b21,b12, Cov(b21,a13) Cov(b21,b13) Cov(b21,a21) Var(b21)\n\ */
                   7307: /* # 232 Cov(a23,a12) Cov(a23,b12, Cov(a23,a13) Cov(a23,b13) Cov(a23,a21) Cov(a23,b21) Var(a23)\n\ */
                   7308: /* # 232 Cov(b23,a12) Cov(b23,b12) ... Var (b23)\n" */
                   7309:   fflush(stdout);
                   7310:   fprintf(ficparo,"# Covariance matrix\n");
                   7311:   /* # 121 Var(a12)\n\ */
                   7312:   /* # 122 Cov(b12,a12) Var(b12)\n\ */
                   7313:   /* #   ...\n\ */
                   7314:   /* # 232 Cov(b23,a12)  Cov(b23,b12) ... Var (b23)\n" */
                   7315:   
                   7316:   for(itimes=1;itimes<=2;itimes++){
                   7317:     jj=0;
                   7318:     for(i=1; i <=nlstate; i++){
                   7319:       for(j=1; j <=nlstate+ndeath; j++){
                   7320:        if(j==i) continue;
                   7321:        for(k=1; k<=ncovmodel;k++){
                   7322:          jj++;
                   7323:          ca[0]= k+'a'-1;ca[1]='\0';
                   7324:          if(itimes==1){
                   7325:            printf("#%1d%1d%d",i,j,k);
                   7326:            fprintf(ficparo,"#%1d%1d%d",i,j,k);
                   7327:          }else{
                   7328:            printf("%1d%1d%d",i,j,k);
                   7329:            fprintf(ficparo,"%1d%1d%d",i,j,k);
                   7330:            /*  printf(" %.5le",matcov[i][j]); */
                   7331:          }
                   7332:          ll=0;
                   7333:          for(li=1;li <=nlstate; li++){
                   7334:            for(lj=1;lj <=nlstate+ndeath; lj++){
                   7335:              if(lj==li) continue;
                   7336:              for(lk=1;lk<=ncovmodel;lk++){
                   7337:                ll++;
                   7338:                if(ll<=jj){
                   7339:                  cb[0]= lk +'a'-1;cb[1]='\0';
                   7340:                  if(ll<jj){
                   7341:                    if(itimes==1){
                   7342:                      printf(" Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   7343:                      fprintf(ficparo," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   7344:                    }else{
                   7345:                      printf(" 0.");
                   7346:                      fprintf(ficparo," 0.");
                   7347:                    }
                   7348:                  }else{
                   7349:                    if(itimes==1){
                   7350:                      printf(" Var(%s%1d%1d)",ca,i,j);
                   7351:                      fprintf(ficparo," Var(%s%1d%1d)",ca,i,j);
                   7352:                    }else{
                   7353:                      printf(" 0.");
                   7354:                      fprintf(ficparo," 0.");
                   7355:                    }
                   7356:                  }
                   7357:                }
                   7358:              } /* end lk */
                   7359:            } /* end lj */
                   7360:          } /* end li */
                   7361:          printf("\n");
                   7362:          fprintf(ficparo,"\n");
                   7363:          numlinepar++;
                   7364:        } /* end k*/
                   7365:       } /*end j */
                   7366:     } /* end i */
                   7367:   } /* end itimes */
                   7368: 
                   7369: } /* end of prwizard */
                   7370: /******************* Gompertz Likelihood ******************************/
                   7371: double gompertz(double x[])
                   7372: { 
                   7373:   double A,B,L=0.0,sump=0.,num=0.;
                   7374:   int i,n=0; /* n is the size of the sample */
                   7375: 
1.220     brouard  7376:   for (i=1;i<=imx ; i++) {
1.126     brouard  7377:     sump=sump+weight[i];
                   7378:     /*    sump=sump+1;*/
                   7379:     num=num+1;
                   7380:   }
                   7381:  
                   7382:  
                   7383:   /* for (i=0; i<=imx; i++) 
                   7384:      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]);*/
                   7385: 
                   7386:   for (i=1;i<=imx ; i++)
                   7387:     {
                   7388:       if (cens[i] == 1 && wav[i]>1)
                   7389:        A=-x[1]/(x[2])*(exp(x[2]*(agecens[i]-agegomp))-exp(x[2]*(ageexmed[i]-agegomp)));
                   7390:       
                   7391:       if (cens[i] == 0 && wav[i]>1)
                   7392:        A=-x[1]/(x[2])*(exp(x[2]*(agedc[i]-agegomp))-exp(x[2]*(ageexmed[i]-agegomp)))
                   7393:             +log(x[1]/YEARM)+x[2]*(agedc[i]-agegomp)+log(YEARM);  
                   7394:       
                   7395:       /*if (wav[i] > 1 && agecens[i] > 15) {*/ /* ??? */
                   7396:       if (wav[i] > 1 ) { /* ??? */
                   7397:        L=L+A*weight[i];
                   7398:        /*      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]);*/
                   7399:       }
                   7400:     }
                   7401: 
                   7402:  /*printf("x1=%2.9f x2=%2.9f x3=%2.9f L=%f\n",x[1],x[2],x[3],L);*/
                   7403:  
                   7404:   return -2*L*num/sump;
                   7405: }
                   7406: 
1.136     brouard  7407: #ifdef GSL
                   7408: /******************* Gompertz_f Likelihood ******************************/
                   7409: double gompertz_f(const gsl_vector *v, void *params)
                   7410: { 
                   7411:   double A,B,LL=0.0,sump=0.,num=0.;
                   7412:   double *x= (double *) v->data;
                   7413:   int i,n=0; /* n is the size of the sample */
                   7414: 
                   7415:   for (i=0;i<=imx-1 ; i++) {
                   7416:     sump=sump+weight[i];
                   7417:     /*    sump=sump+1;*/
                   7418:     num=num+1;
                   7419:   }
                   7420:  
                   7421:  
                   7422:   /* for (i=0; i<=imx; i++) 
                   7423:      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]);*/
                   7424:   printf("x[0]=%lf x[1]=%lf\n",x[0],x[1]);
                   7425:   for (i=1;i<=imx ; i++)
                   7426:     {
                   7427:       if (cens[i] == 1 && wav[i]>1)
                   7428:        A=-x[0]/(x[1])*(exp(x[1]*(agecens[i]-agegomp))-exp(x[1]*(ageexmed[i]-agegomp)));
                   7429:       
                   7430:       if (cens[i] == 0 && wav[i]>1)
                   7431:        A=-x[0]/(x[1])*(exp(x[1]*(agedc[i]-agegomp))-exp(x[1]*(ageexmed[i]-agegomp)))
                   7432:             +log(x[0]/YEARM)+x[1]*(agedc[i]-agegomp)+log(YEARM);  
                   7433:       
                   7434:       /*if (wav[i] > 1 && agecens[i] > 15) {*/ /* ??? */
                   7435:       if (wav[i] > 1 ) { /* ??? */
                   7436:        LL=LL+A*weight[i];
                   7437:        /*      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]);*/
                   7438:       }
                   7439:     }
                   7440: 
                   7441:  /*printf("x1=%2.9f x2=%2.9f x3=%2.9f L=%f\n",x[1],x[2],x[3],L);*/
                   7442:   printf("x[0]=%lf x[1]=%lf -2*LL*num/sump=%lf\n",x[0],x[1],-2*LL*num/sump);
                   7443:  
                   7444:   return -2*LL*num/sump;
                   7445: }
                   7446: #endif
                   7447: 
1.126     brouard  7448: /******************* Printing html file ***********/
1.201     brouard  7449: void printinghtmlmort(char fileresu[], char title[], char datafile[], int firstpass, \
1.126     brouard  7450:                  int lastpass, int stepm, int weightopt, char model[],\
                   7451:                  int imx,  double p[],double **matcov,double agemortsup){
                   7452:   int i,k;
                   7453: 
                   7454:   fprintf(fichtm,"<ul><li><h4>Result files </h4>\n Force of mortality. Parameters of the Gompertz fit (with confidence interval in brackets):<br>");
                   7455:   fprintf(fichtm,"  mu(age) =%lf*exp(%lf*(age-%d)) per year<br><br>",p[1],p[2],agegomp);
                   7456:   for (i=1;i<=2;i++) 
                   7457:     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  7458:   fprintf(fichtm,"<br><br><img src=\"graphmort.svg\">");
1.126     brouard  7459:   fprintf(fichtm,"</ul>");
                   7460: 
                   7461: fprintf(fichtm,"<ul><li><h4>Life table</h4>\n <br>");
                   7462: 
                   7463:  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>");
                   7464: 
                   7465:  for (k=agegomp;k<(agemortsup-2);k++) 
                   7466:    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]);
                   7467: 
                   7468:  
                   7469:   fflush(fichtm);
                   7470: }
                   7471: 
                   7472: /******************* Gnuplot file **************/
1.201     brouard  7473: void printinggnuplotmort(char fileresu[], char optionfilefiname[], double ageminpar, double agemaxpar, double fage , char pathc[], double p[]){
1.126     brouard  7474: 
                   7475:   char dirfileres[132],optfileres[132];
1.164     brouard  7476: 
1.126     brouard  7477:   int ng;
                   7478: 
                   7479: 
                   7480:   /*#ifdef windows */
                   7481:   fprintf(ficgp,"cd \"%s\" \n",pathc);
                   7482:     /*#endif */
                   7483: 
                   7484: 
                   7485:   strcpy(dirfileres,optionfilefiname);
                   7486:   strcpy(optfileres,"vpl");
1.199     brouard  7487:   fprintf(ficgp,"set out \"graphmort.svg\"\n "); 
1.126     brouard  7488:   fprintf(ficgp,"set xlabel \"Age\"\n set ylabel \"Force of mortality (per year)\" \n "); 
1.199     brouard  7489:   fprintf(ficgp, "set ter svg size 640, 480\n set log y\n"); 
1.145     brouard  7490:   /* fprintf(ficgp, "set size 0.65,0.65\n"); */
1.126     brouard  7491:   fprintf(ficgp,"plot [%d:100] %lf*exp(%lf*(x-%d))",agegomp,p[1],p[2],agegomp);
                   7492: 
                   7493: } 
                   7494: 
1.136     brouard  7495: int readdata(char datafile[], int firstobs, int lastobs, int *imax)
                   7496: {
1.126     brouard  7497: 
1.136     brouard  7498:   /*-------- data file ----------*/
                   7499:   FILE *fic;
                   7500:   char dummy[]="                         ";
1.223     brouard  7501:   int i=0, j=0, n=0, iv=0;
                   7502:   int lstra;
1.136     brouard  7503:   int linei, month, year,iout;
                   7504:   char line[MAXLINE], linetmp[MAXLINE];
1.164     brouard  7505:   char stra[MAXLINE], strb[MAXLINE];
1.136     brouard  7506:   char *stratrunc;
1.223     brouard  7507: 
1.126     brouard  7508: 
                   7509: 
1.136     brouard  7510:   if((fic=fopen(datafile,"r"))==NULL)    {
1.218     brouard  7511:     printf("Problem while opening datafile: %s with errno='%s'\n", datafile,strerror(errno));fflush(stdout);
                   7512:     fprintf(ficlog,"Problem while opening datafile: %s with errno='%s'\n", datafile,strerror(errno));fflush(ficlog);return 1;
1.136     brouard  7513:   }
1.126     brouard  7514: 
1.136     brouard  7515:   i=1;
                   7516:   linei=0;
                   7517:   while ((fgets(line, MAXLINE, fic) != NULL) &&((i >= firstobs) && (i <=lastobs))) {
                   7518:     linei=linei+1;
                   7519:     for(j=strlen(line); j>=0;j--){  /* Untabifies line */
                   7520:       if(line[j] == '\t')
                   7521:        line[j] = ' ';
                   7522:     }
                   7523:     for(j=strlen(line)-1; (line[j]==' ')||(line[j]==10)||(line[j]==13);j--){
                   7524:       ;
                   7525:     };
                   7526:     line[j+1]=0;  /* Trims blanks at end of line */
                   7527:     if(line[0]=='#'){
                   7528:       fprintf(ficlog,"Comment line\n%s\n",line);
                   7529:       printf("Comment line\n%s\n",line);
                   7530:       continue;
                   7531:     }
                   7532:     trimbb(linetmp,line); /* Trims multiple blanks in line */
1.164     brouard  7533:     strcpy(line, linetmp);
1.223     brouard  7534:     
                   7535:     /* Loops on waves */
                   7536:     for (j=maxwav;j>=1;j--){
                   7537:       for (iv=nqtv;iv>=1;iv--){  /* Loop  on time varying quantitative variables */
1.225     brouard  7538:        cutv(stra, strb, line, ' '); 
                   7539:        if(strb[0]=='.') { /* Missing value */
                   7540:          lval=-1;
                   7541:          cotqvar[j][iv][i]=-1; /* 0.0/0.0 */
                   7542:          if(isalpha(strb[1])) { /* .m or .d Really Missing value */
                   7543:            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);
                   7544:            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);
                   7545:            return 1;
                   7546:          }
                   7547:        }else{
                   7548:          errno=0;
                   7549:          /* what_kind_of_number(strb); */
                   7550:          dval=strtod(strb,&endptr); 
                   7551:          /* if( strb[0]=='\0' || (*endptr != '\0')){ */
                   7552:          /* if(strb != endptr && *endptr == '\0') */
                   7553:          /*    dval=dlval; */
                   7554:          /* if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN)) */
                   7555:          if( strb[0]=='\0' || (*endptr != '\0')){
                   7556:            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);
                   7557:            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);
                   7558:            return 1;
                   7559:          }
                   7560:          cotqvar[j][iv][i]=dval; 
                   7561:        }
                   7562:        strcpy(line,stra);
1.223     brouard  7563:       }/* end loop ntqv */
1.225     brouard  7564:       
1.223     brouard  7565:       for (iv=ntv;iv>=1;iv--){  /* Loop  on time varying dummies */
1.225     brouard  7566:        cutv(stra, strb, line, ' '); 
                   7567:        if(strb[0]=='.') { /* Missing value */
                   7568:          lval=-1;
                   7569:        }else{
                   7570:          errno=0;
                   7571:          lval=strtol(strb,&endptr,10); 
                   7572:          /*    if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN))*/
                   7573:          if( strb[0]=='\0' || (*endptr != '\0')){
                   7574:            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);
                   7575:            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);
                   7576:            return 1;
                   7577:          }
                   7578:        }
                   7579:        if(lval <-1 || lval >1){
                   7580:          printf("Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
1.223     brouard  7581:  Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
                   7582:  for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
1.225     brouard  7583:  For example, for multinomial values like 1, 2 and 3,\n                        \
                   7584:  build V1=0 V2=0 for the reference value (1),\n                                \
                   7585:         V1=1 V2=0 for (2) \n                                           \
1.223     brouard  7586:  and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
1.225     brouard  7587:  output of IMaCh is often meaningless.\n                               \
1.223     brouard  7588:  Exiting.\n",lval,linei, i,line,j);
1.225     brouard  7589:          fprintf(ficlog,"Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
1.223     brouard  7590:  Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
                   7591:  for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
1.225     brouard  7592:  For example, for multinomial values like 1, 2 and 3,\n                        \
                   7593:  build V1=0 V2=0 for the reference value (1),\n                                \
                   7594:         V1=1 V2=0 for (2) \n                                           \
1.223     brouard  7595:  and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
                   7596:  output of IMaCh is often meaningless.\n                               \
                   7597:  Exiting.\n",lval,linei, i,line,j);fflush(ficlog);
1.225     brouard  7598:          return 1;
                   7599:        }
                   7600:        cotvar[j][iv][i]=(double)(lval);
                   7601:        strcpy(line,stra);
1.223     brouard  7602:       }/* end loop ntv */
1.225     brouard  7603:       
1.223     brouard  7604:       /* Statuses  at wave */
1.137     brouard  7605:       cutv(stra, strb, line, ' '); 
1.223     brouard  7606:       if(strb[0]=='.') { /* Missing value */
1.225     brouard  7607:        lval=-1;
1.136     brouard  7608:       }else{
1.225     brouard  7609:        errno=0;
                   7610:        lval=strtol(strb,&endptr,10); 
                   7611:        /*      if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN))*/
                   7612:        if( strb[0]=='\0' || (*endptr != '\0')){
                   7613:          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);
                   7614:          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);
                   7615:          return 1;
                   7616:        }
1.136     brouard  7617:       }
1.225     brouard  7618:       
1.136     brouard  7619:       s[j][i]=lval;
1.225     brouard  7620:       
1.223     brouard  7621:       /* Date of Interview */
1.136     brouard  7622:       strcpy(line,stra);
                   7623:       cutv(stra, strb,line,' ');
1.169     brouard  7624:       if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
1.136     brouard  7625:       }
1.169     brouard  7626:       else  if( (iout=sscanf(strb,"%s.",dummy)) != 0){
1.225     brouard  7627:        month=99;
                   7628:        year=9999;
1.136     brouard  7629:       }else{
1.225     brouard  7630:        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);
                   7631:        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);
                   7632:        return 1;
1.136     brouard  7633:       }
                   7634:       anint[j][i]= (double) year; 
                   7635:       mint[j][i]= (double)month; 
                   7636:       strcpy(line,stra);
1.223     brouard  7637:     } /* End loop on waves */
1.225     brouard  7638:     
1.223     brouard  7639:     /* Date of death */
1.136     brouard  7640:     cutv(stra, strb,line,' '); 
1.169     brouard  7641:     if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
1.136     brouard  7642:     }
1.169     brouard  7643:     else  if( (iout=sscanf(strb,"%s.",dummy)) != 0){
1.136     brouard  7644:       month=99;
                   7645:       year=9999;
                   7646:     }else{
1.141     brouard  7647:       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  7648:       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);
                   7649:       return 1;
1.136     brouard  7650:     }
                   7651:     andc[i]=(double) year; 
                   7652:     moisdc[i]=(double) month; 
                   7653:     strcpy(line,stra);
                   7654:     
1.223     brouard  7655:     /* Date of birth */
1.136     brouard  7656:     cutv(stra, strb,line,' '); 
1.169     brouard  7657:     if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
1.136     brouard  7658:     }
1.169     brouard  7659:     else  if( (iout=sscanf(strb,"%s.", dummy)) != 0){
1.136     brouard  7660:       month=99;
                   7661:       year=9999;
                   7662:     }else{
1.141     brouard  7663:       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);
                   7664:       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  7665:       return 1;
1.136     brouard  7666:     }
                   7667:     if (year==9999) {
1.141     brouard  7668:       printf("Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be a date of birth (mm/yyyy) but at least the year of birth should be given.  Exiting.\n",strb, linei,i,line);
                   7669:       fprintf(ficlog,"Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be a date of birth (mm/yyyy) but at least the year of birth should be given. Exiting.\n",strb, linei,i,line);fflush(ficlog);
1.225     brouard  7670:       return 1;
                   7671:       
1.136     brouard  7672:     }
                   7673:     annais[i]=(double)(year);
                   7674:     moisnais[i]=(double)(month); 
                   7675:     strcpy(line,stra);
1.225     brouard  7676:     
1.223     brouard  7677:     /* Sample weight */
1.136     brouard  7678:     cutv(stra, strb,line,' '); 
                   7679:     errno=0;
                   7680:     dval=strtod(strb,&endptr); 
                   7681:     if( strb[0]=='\0' || (*endptr != '\0')){
1.141     brouard  7682:       printf("Error reading data around '%f' at line number %d, \"%s\" for individual %d\nShould be a weight.  Exiting.\n",dval, i,line,linei);
                   7683:       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  7684:       fflush(ficlog);
                   7685:       return 1;
                   7686:     }
                   7687:     weight[i]=dval; 
                   7688:     strcpy(line,stra);
1.225     brouard  7689:     
1.223     brouard  7690:     for (iv=nqv;iv>=1;iv--){  /* Loop  on fixed quantitative variables */
                   7691:       cutv(stra, strb, line, ' '); 
                   7692:       if(strb[0]=='.') { /* Missing value */
1.225     brouard  7693:        lval=-1;
1.223     brouard  7694:       }else{
1.225     brouard  7695:        errno=0;
                   7696:        /* what_kind_of_number(strb); */
                   7697:        dval=strtod(strb,&endptr);
                   7698:        /* if(strb != endptr && *endptr == '\0') */
                   7699:        /*   dval=dlval; */
                   7700:        /* if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN)) */
                   7701:        if( strb[0]=='\0' || (*endptr != '\0')){
                   7702:          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);
                   7703:          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);
                   7704:          return 1;
                   7705:        }
                   7706:        coqvar[iv][i]=dval; 
1.226     brouard  7707:        covar[ncovcol+iv][i]=dval; /* including qvar in standard covar for performance reasons */ 
1.223     brouard  7708:       }
                   7709:       strcpy(line,stra);
                   7710:     }/* end loop nqv */
1.136     brouard  7711:     
1.223     brouard  7712:     /* Covariate values */
1.136     brouard  7713:     for (j=ncovcol;j>=1;j--){
                   7714:       cutv(stra, strb,line,' '); 
1.223     brouard  7715:       if(strb[0]=='.') { /* Missing covariate value */
1.225     brouard  7716:        lval=-1;
1.136     brouard  7717:       }else{
1.225     brouard  7718:        errno=0;
                   7719:        lval=strtol(strb,&endptr,10); 
                   7720:        if( strb[0]=='\0' || (*endptr != '\0')){
                   7721:          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);
                   7722:          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);
                   7723:          return 1;
                   7724:        }
1.136     brouard  7725:       }
                   7726:       if(lval <-1 || lval >1){
1.225     brouard  7727:        printf("Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
1.136     brouard  7728:  Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
                   7729:  for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
1.225     brouard  7730:  For example, for multinomial values like 1, 2 and 3,\n                        \
                   7731:  build V1=0 V2=0 for the reference value (1),\n                                \
                   7732:         V1=1 V2=0 for (2) \n                                           \
1.136     brouard  7733:  and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
1.225     brouard  7734:  output of IMaCh is often meaningless.\n                               \
1.136     brouard  7735:  Exiting.\n",lval,linei, i,line,j);
1.225     brouard  7736:        fprintf(ficlog,"Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
1.136     brouard  7737:  Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
                   7738:  for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
1.225     brouard  7739:  For example, for multinomial values like 1, 2 and 3,\n                        \
                   7740:  build V1=0 V2=0 for the reference value (1),\n                                \
                   7741:         V1=1 V2=0 for (2) \n                                           \
1.136     brouard  7742:  and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
1.225     brouard  7743:  output of IMaCh is often meaningless.\n                               \
1.136     brouard  7744:  Exiting.\n",lval,linei, i,line,j);fflush(ficlog);
1.225     brouard  7745:        return 1;
1.136     brouard  7746:       }
                   7747:       covar[j][i]=(double)(lval);
                   7748:       strcpy(line,stra);
                   7749:     }  
                   7750:     lstra=strlen(stra);
1.225     brouard  7751:     
1.136     brouard  7752:     if(lstra > 9){ /* More than 2**32 or max of what printf can write with %ld */
                   7753:       stratrunc = &(stra[lstra-9]);
                   7754:       num[i]=atol(stratrunc);
                   7755:     }
                   7756:     else
                   7757:       num[i]=atol(stra);
                   7758:     /*if((s[2][i]==2) && (s[3][i]==-1)&&(s[4][i]==9)){
                   7759:       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;}*/
                   7760:     
                   7761:     i=i+1;
                   7762:   } /* End loop reading  data */
1.225     brouard  7763:   
1.136     brouard  7764:   *imax=i-1; /* Number of individuals */
                   7765:   fclose(fic);
1.225     brouard  7766:   
1.136     brouard  7767:   return (0);
1.164     brouard  7768:   /* endread: */
1.225     brouard  7769:   printf("Exiting readdata: ");
                   7770:   fclose(fic);
                   7771:   return (1);
1.223     brouard  7772: }
1.126     brouard  7773: 
1.145     brouard  7774: void removespace(char *str) {
                   7775:   char *p1 = str, *p2 = str;
                   7776:   do
                   7777:     while (*p2 == ' ')
                   7778:       p2++;
1.169     brouard  7779:   while (*p1++ == *p2++);
1.145     brouard  7780: }
                   7781: 
1.224     brouard  7782: int decodemodel ( char model[], int lastobs)
                   7783:  /**< This routine decode the model and returns:
                   7784:        * Model  V1+V2+V3+V8+V7*V8+V5*V6+V8*age+V3*age+age*age
                   7785:        * - nagesqr = 1 if age*age in the model, otherwise 0.
                   7786:        * - cptcovt total number of covariates of the model nbocc(+)+1 = 8 excepting constant and age and age*age
                   7787:        * - cptcovn or number of covariates k of the models excluding age*products =6 and age*age
                   7788:        * - cptcovage number of covariates with age*products =2
                   7789:        * - cptcovs number of simple covariates
                   7790:        * - 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
                   7791:        *     which is a new column after the 9 (ncovcol) variables. 
                   7792:        * - if k is a product Vn*Vm covar[k][i] is filled with correct values for each individual
                   7793:        * - Tprod[l] gives the kth covariates of the product Vn*Vm l=1 to cptcovprod-cptcovage
                   7794:        *    Tprod[1]@2 {5, 6}: position of first product V7*V8 is 5, and second V5*V6 is 6.
                   7795:        * - Tvard[k]  p Tvard[1][1]@4 {7, 8, 5, 6} for V7*V8 and V5*V6 .
                   7796:        */
1.136     brouard  7797: {
1.145     brouard  7798:   int i, j, k, ks;
1.227     brouard  7799:   int  j1, k1, k2, k3, k4;
1.136     brouard  7800:   char modelsav[80];
1.145     brouard  7801:   char stra[80], strb[80], strc[80], strd[80],stre[80];
1.187     brouard  7802:   char *strpt;
1.136     brouard  7803: 
1.145     brouard  7804:   /*removespace(model);*/
1.136     brouard  7805:   if (strlen(model) >1){ /* If there is at least 1 covariate */
1.145     brouard  7806:     j=0, j1=0, k1=0, k2=-1, ks=0, cptcovn=0;
1.137     brouard  7807:     if (strstr(model,"AGE") !=0){
1.192     brouard  7808:       printf("Error. AGE must be in lower case 'age' model=1+age+%s. ",model);
                   7809:       fprintf(ficlog,"Error. AGE must be in lower case model=1+age+%s. ",model);fflush(ficlog);
1.136     brouard  7810:       return 1;
                   7811:     }
1.141     brouard  7812:     if (strstr(model,"v") !=0){
                   7813:       printf("Error. 'v' must be in upper case 'V' model=%s ",model);
                   7814:       fprintf(ficlog,"Error. 'v' must be in upper case model=%s ",model);fflush(ficlog);
                   7815:       return 1;
                   7816:     }
1.187     brouard  7817:     strcpy(modelsav,model); 
                   7818:     if ((strpt=strstr(model,"age*age")) !=0){
                   7819:       printf(" strpt=%s, model=%s\n",strpt, model);
                   7820:       if(strpt != model){
1.225     brouard  7821:        printf("Error in model: 'model=%s'; 'age*age' should in first place before other covariates\n \
1.192     brouard  7822:  'model=1+age+age*age+V1.' or 'model=1+age+age*age+V1+V1*age.', please swap as well as \n \
1.187     brouard  7823:  corresponding column of parameters.\n",model);
1.225     brouard  7824:        fprintf(ficlog,"Error in model: 'model=%s'; 'age*age' should in first place before other covariates\n \
1.192     brouard  7825:  'model=1+age+age*age+V1.' or 'model=1+age+age*age+V1+V1*age.', please swap as well as \n \
1.187     brouard  7826:  corresponding column of parameters.\n",model); fflush(ficlog);
1.225     brouard  7827:        return 1;
                   7828:       }
1.187     brouard  7829:       nagesqr=1;
                   7830:       if (strstr(model,"+age*age") !=0)
1.225     brouard  7831:        substrchaine(modelsav, model, "+age*age");
1.187     brouard  7832:       else if (strstr(model,"age*age+") !=0)
1.225     brouard  7833:        substrchaine(modelsav, model, "age*age+");
1.187     brouard  7834:       else 
1.225     brouard  7835:        substrchaine(modelsav, model, "age*age");
1.187     brouard  7836:     }else
                   7837:       nagesqr=0;
                   7838:     if (strlen(modelsav) >1){
                   7839:       j=nbocc(modelsav,'+'); /**< j=Number of '+' */
                   7840:       j1=nbocc(modelsav,'*'); /**< j1=Number of '*' */
1.224     brouard  7841:       cptcovs=j+1-j1; /**<  Number of simple covariates V1+V1*age+V3 +V3*V4+age*age=> V1 + V3 =5-3=2  */
1.187     brouard  7842:       cptcovt= j+1; /* Number of total covariates in the model, not including
1.225     brouard  7843:                     * cst, age and age*age 
                   7844:                     * V1+V1*age+ V3 + V3*V4+age*age=> 3+1=4*/
                   7845:       /* including age products which are counted in cptcovage.
                   7846:        * but the covariates which are products must be treated 
                   7847:        * separately: ncovn=4- 2=2 (V1+V3). */
1.187     brouard  7848:       cptcovprod=j1; /**< Number of products  V1*V2 +v3*age = 2 */
                   7849:       cptcovprodnoage=0; /**< Number of covariate products without age: V3*V4 =1  */
1.225     brouard  7850:       
                   7851:       
1.187     brouard  7852:       /*   Design
                   7853:        *  V1   V2   V3   V4  V5  V6  V7  V8  V9 Weight
                   7854:        *  <          ncovcol=8                >
                   7855:        * Model V2 + V1 + V3*age + V3 + V5*V6 + V7*V8 + V8*age + V8
                   7856:        *   k=  1    2      3       4     5       6      7        8
                   7857:        *  cptcovn number of covariates (not including constant and age ) = # of + plus 1 = 7+1=8
                   7858:        *  covar[k,i], value of kth covariate if not including age for individual i:
1.224     brouard  7859:        *       covar[1][i]= (V1), covar[4][i]=(V4), covar[8][i]=(V8)
                   7860:        *  Tvar[k] # of the kth covariate:  Tvar[1]=2  Tvar[2]=1 Tvar[4]=3 Tvar[8]=8
1.187     brouard  7861:        *       if multiplied by age: V3*age Tvar[3=V3*age]=3 (V3) Tvar[7]=8 and 
                   7862:        *  Tage[++cptcovage]=k
                   7863:        *       if products, new covar are created after ncovcol with k1
                   7864:        *  Tvar[k]=ncovcol+k1; # of the kth covariate product:  Tvar[5]=ncovcol+1=10  Tvar[6]=ncovcol+1=11
                   7865:        *  Tprod[k1]=k; Tprod[1]=5 Tprod[2]= 6; gives the position of the k1th product
                   7866:        *  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
                   7867:        *  Tvar[cptcovn+k2]=Tvard[k1][1];Tvar[cptcovn+k2+1]=Tvard[k1][2];
                   7868:        *  Tvar[8+1]=5;Tvar[8+2]=6;Tvar[8+3]=7;Tvar[8+4]=8 inverted
                   7869:        *  V1   V2   V3   V4  V5  V6  V7  V8  V9  V10  V11
                   7870:        *  <          ncovcol=8                >
                   7871:        *       Model V2 + V1 + V3*age + V3 + V5*V6 + V7*V8 + V8*age + V8    d1   d1   d2  d2
                   7872:        *          k=  1    2      3       4     5       6      7        8    9   10   11  12
                   7873:        *     Tvar[k]= 2    1      3       3    10      11      8        8    5    6    7   8
                   7874:        * p Tvar[1]@12={2,   1,     3,      3,   11,     10,     8,       8,   7,   8,   5,  6}
                   7875:        * p Tprod[1]@2={                         6, 5}
                   7876:        *p Tvard[1][1]@4= {7, 8, 5, 6}
                   7877:        * covar[k][i]= V2   V1      ?      V3    V5*V6?   V7*V8?  ?       V8   
                   7878:        *  cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
                   7879:        *How to reorganize?
                   7880:        * Model V1 + V2 + V3 + V8 + V5*V6 + V7*V8 + V3*age + V8*age
                   7881:        * Tvars {2,   1,     3,      3,   11,     10,     8,       8,   7,   8,   5,  6}
                   7882:        *       {2,   1,     4,      8,    5,      6,     3,       7}
                   7883:        * Struct []
                   7884:        */
1.225     brouard  7885:       
1.187     brouard  7886:       /* This loop fills the array Tvar from the string 'model'.*/
                   7887:       /* j is the number of + signs in the model V1+V2+V3 j=2 i=3 to 1 */
                   7888:       /*   modelsav=V2+V1+V4+age*V3 strb=age*V3 stra=V2+V1+V4  */
                   7889:       /*       k=4 (age*V3) Tvar[k=4]= 3 (from V3) Tage[cptcovage=1]=4 */
                   7890:       /*       k=3 V4 Tvar[k=3]= 4 (from V4) */
                   7891:       /*       k=2 V1 Tvar[k=2]= 1 (from V1) */
                   7892:       /*       k=1 Tvar[1]=2 (from V2) */
                   7893:       /*       k=5 Tvar[5] */
                   7894:       /* for (k=1; k<=cptcovn;k++) { */
1.198     brouard  7895:       /*       cov[2+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
1.187     brouard  7896:       /*       } */
1.198     brouard  7897:       /* for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,Tvar[Tage[k])]]*cov[2]; */
1.187     brouard  7898:       /*
                   7899:        * Treating invertedly V2+V1+V3*age+V2*V4 is as if written V2*V4 +V3*age + V1 + V2 */
1.227     brouard  7900:       for(k=cptcovt; k>=1;k--){ /**< Number of covariates not including constant and age, neither age*age*/
                   7901:         Tvar[k]=0; Tprod[k]=0; Tposprod[k]=0;
                   7902:       }
1.187     brouard  7903:       cptcovage=0;
                   7904:       for(k=1; k<=cptcovt;k++){ /* Loop on total covariates of the model */
1.225     brouard  7905:        cutl(stra,strb,modelsav,'+'); /* keeps in strb after the first '+' 
                   7906:                                         modelsav==V2+V1+V4+V3*age strb=V3*age stra=V2+V1+V4 */ 
                   7907:        if (nbocc(modelsav,'+')==0) strcpy(strb,modelsav); /* and analyzes it */
                   7908:        /*      printf("i=%d a=%s b=%s sav=%s\n",i, stra,strb,modelsav);*/
                   7909:        /*scanf("%d",i);*/
                   7910:        if (strchr(strb,'*')) {  /**< Model includes a product V2+V1+V4+V3*age strb=V3*age */
                   7911:          cutl(strc,strd,strb,'*'); /**< strd*strc  Vm*Vn: strb=V3*age(input) strc=age strd=V3 ; V3*V2 strc=V2, strd=V3 */
                   7912:          if (strcmp(strc,"age")==0) { /**< Model includes age: Vn*age */
                   7913:            /* covar is not filled and then is empty */
                   7914:            cptcovprod--;
                   7915:            cutl(stre,strb,strd,'V'); /* strd=V3(input): stre="3" */
                   7916:            Tvar[k]=atoi(stre);  /* V2+V1+V4+V3*age Tvar[4]=3 ; V1+V2*age Tvar[2]=2; V1+V1*age Tvar[2]=1 */
1.226     brouard  7917:            Typevar[k]=1;  /* 1 for age product */
1.225     brouard  7918:            cptcovage++; /* Sums the number of covariates which include age as a product */
                   7919:            Tage[cptcovage]=k;  /* Tvar[4]=3, Tage[1] = 4 or V1+V1*age Tvar[2]=1, Tage[1]=2 */
                   7920:            /*printf("stre=%s ", stre);*/
                   7921:          } else if (strcmp(strd,"age")==0) { /* or age*Vn */
                   7922:            cptcovprod--;
                   7923:            cutl(stre,strb,strc,'V');
                   7924:            Tvar[k]=atoi(stre);
                   7925:            Typevar[k]=1;  /* 1 for age product */
                   7926:            cptcovage++;
                   7927:            Tage[cptcovage]=k;
                   7928:          } else {  /* Age is not in the model product V2+V1+V1*V4+V3*age+V3*V2  strb=V3*V2*/
                   7929:            /* loops on k1=1 (V3*V2) and k1=2 V4*V3 */
                   7930:            cptcovn++;
                   7931:            cptcovprodnoage++;k1++;
                   7932:            cutl(stre,strb,strc,'V'); /* strc= Vn, stre is n; strb=V3*V2 stre=3 strc=*/
                   7933:            Tvar[k]=ncovcol+nqv+ntv+nqtv+k1; /* For model-covariate k tells which data-covariate to use but
                   7934:                                   because this model-covariate is a construction we invent a new column
                   7935:                                   which is after existing variables ncovcol+nqv+ntv+nqtv + k1
                   7936:                                   If already ncovcol=4 and model=V2+V1+V1*V4+age*V3+V3*V2
                   7937:                                   Tvar[3=V1*V4]=4+1 Tvar[5=V3*V2]=4 + 2= 6, etc */
                   7938:            Typevar[k]=2;  /* 2 for double fixed dummy covariates */
                   7939:            cutl(strc,strb,strd,'V'); /* strd was Vm, strc is m */
                   7940:            Tprod[k1]=k;  /* Tprod[1]=3(=V1*V4) for V2+V1+V1*V4+age*V3+V3*V2  */
1.227     brouard  7941:            Tposprod[k]=k1; /* Tpsprod[3]=1, Tposprod[2]=5 */
1.225     brouard  7942:            Tvard[k1][1] =atoi(strc); /* m 1 for V1*/
                   7943:            Tvard[k1][2] =atoi(stre); /* n 4 for V4*/
                   7944:            k2=k2+2;  /* k2 is initialize to -1, We want to store the n and m in Vn*Vm at the end of Tvar */
                   7945:            /* Tvar[cptcovt+k2]=Tvard[k1][1]; /\* Tvar[(cptcovt=4+k2=1)=5]= 1 (V1) *\/ */
                   7946:            /* Tvar[cptcovt+k2+1]=Tvard[k1][2];  /\* Tvar[(cptcovt=4+(k2=1)+1)=6]= 4 (V4) *\/ */
                   7947:             /*ncovcol=4 and model=V2+V1+V1*V4+age*V3+V3*V2, Tvar[3]=5, Tvar[4]=6, cptcovt=5 */
                   7948:            /*                     1  2   3      4     5 | Tvar[5+1)=1, Tvar[7]=2   */
                   7949:            for (i=1; i<=lastobs;i++){
                   7950:              /* Computes the new covariate which is a product of
                   7951:                 covar[n][i]* covar[m][i] and stores it at ncovol+k1 May not be defined */
                   7952:              covar[ncovcol+k1][i]=covar[atoi(stre)][i]*covar[atoi(strc)][i];
                   7953:            }
                   7954:          } /* End age is not in the model */
                   7955:        } /* End if model includes a product */
                   7956:        else { /* no more sum */
                   7957:          /*printf("d=%s c=%s b=%s\n", strd,strc,strb);*/
                   7958:          /*  scanf("%d",i);*/
                   7959:          cutl(strd,strc,strb,'V');
1.227     brouard  7960:          ks++; /**< Number of simple covariates dummy or quantitative, fixe or varying */
1.225     brouard  7961:          cptcovn++; /** V4+V3+V5: V4 and V3 timevarying dummy covariates, V5 timevarying quantitative */
                   7962:          Tvar[k]=atoi(strd);
                   7963:          Typevar[k]=0;  /* 0 for simple covariates */
                   7964:        }
                   7965:        strcpy(modelsav,stra);  /* modelsav=V2+V1+V4 stra=V2+V1+V4 */ 
1.223     brouard  7966:                                /*printf("a=%s b=%s sav=%s\n", stra,strb,modelsav);
1.225     brouard  7967:                                  scanf("%d",i);*/
1.187     brouard  7968:       } /* end of loop + on total covariates */
                   7969:     } /* end if strlen(modelsave == 0) age*age might exist */
                   7970:   } /* end if strlen(model == 0) */
1.136     brouard  7971:   
                   7972:   /*The number n of Vn is stored in Tvar. cptcovage =number of age covariate. Tage gives the position of age. cptcovprod= number of products.
                   7973:     If model=V1+V1*age then Tvar[1]=1 Tvar[2]=1 cptcovage=1 Tage[1]=2 cptcovprod=0*/
1.225     brouard  7974:   
1.136     brouard  7975:   /* printf("tvar1=%d tvar2=%d tvar3=%d cptcovage=%d Tage=%d",Tvar[1],Tvar[2],Tvar[3],cptcovage,Tage[1]);
1.225     brouard  7976:      printf("cptcovprod=%d ", cptcovprod);
                   7977:      fprintf(ficlog,"cptcovprod=%d ", cptcovprod);
                   7978:      scanf("%d ",i);*/
                   7979: 
                   7980: 
                   7981: /* Decodemodel knows only the grammar (simple, product, age*) of the model but not what kind
                   7982:    of variable (dummy vs quantitative, fixed vs time varying) is behind */
1.226     brouard  7983: /* ncovcol= 1, nqv=1 | ntv=2, nqtv= 1  = 5 possible variables data: 2 fixed 3, varying
                   7984:    model=        V5 + V4 +V3 + V4*V3 + V5*age + V2 + V1*V2 + V1*age + V5*age, V1 is not used saving its place
                   7985:    k =           1    2   3     4       5       6      7      8        9
                   7986:    Tvar[k]=      5    4   3 1+1+2+1+1=6 5       2      7      1        5
                   7987:    Typevar[k]=   0    0   0     2       1       0      2      1        1
1.227     brouard  7988:    Fixed[k]      1    1   1     1       3       0    0 or 2   2        3
                   7989:    Dummy[k]      1    0   0     0       3       1      1      2        3
                   7990:          Tmodelind[combination of covar]=k;
1.225     brouard  7991: */  
                   7992: /* Dispatching between quantitative and time varying covariates */
1.226     brouard  7993:   /* If Tvar[k] >ncovcol it is a product */
1.225     brouard  7994:   /* 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  7995:        /* Computing effective variables, ie used by the model, that is from the cptcovt variables */
1.227     brouard  7996:   printf("Model=%s\n\
                   7997: Typevar: 0 for simple covariate (dummy, quantitative, fixed or varying), 1 for age product, 2 for  product \n\
                   7998: Fixed[k] 0=fixed (product or simple), 1 varying, 2 fixed with age product, 3 varying with age product \n\
                   7999: 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);
                   8000:   fprintf(ficlog,"Model=%s\n\
                   8001: Typevar: 0 for simple covariate (dummy, quantitative, fixed or varying), 1 for age product, 2 for  product \n\
                   8002: Fixed[k] 0=fixed (product or simple), 1 varying, 2 fixed with age product, 3 varying with age product \n\
                   8003: 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);
                   8004: 
1.225     brouard  8005:   for(k=1, ncoveff=0, nqfveff=0, ntveff=0, nqtveff=0;k<=cptcovt; k++){ /* or cptocvt */
1.226     brouard  8006:     if (Tvar[k] <=ncovcol && (Typevar[k]==0 || Typevar[k]==2)){ /* Simple or product fixed dummy covariatee */
1.227     brouard  8007:       Fixed[k]= 0;
                   8008:       Dummy[k]= 0;
1.225     brouard  8009:       ncoveff++;
                   8010:     }else if( Tvar[k] <=ncovcol+nqv && Typevar[k]==0){ /* Remind that product Vn*Vm are added in k*/
1.227     brouard  8011:       Fixed[k]= 0;
                   8012:       Dummy[k]= 1;
1.225     brouard  8013:       nqfveff++;  /* Only simple fixed quantitative variable */
                   8014:     }else if( Tvar[k] <=ncovcol+nqv+ntv && Typevar[k]==0){
1.227     brouard  8015:       Fixed[k]= 1;
                   8016:       Dummy[k]= 0;
1.225     brouard  8017:       ntveff++; /* Only simple time varying dummy variable */
1.228   ! brouard  8018:       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);
        !          8019:       printf("Quasi TmodelInvind[%d]=%d\n",k,Tvar[k]- ncovcol-nqv);
1.227     brouard  8020:     }else if( Tvar[k] <=ncovcol+nqv+ntv+nqtv  && Typevar[k]==0){
                   8021:        Fixed[k]= 1;
                   8022:        Dummy[k]= 1;
1.228   ! brouard  8023:        TmodelInvQind[++nqtveff]=Tvar[k]- ncovcol-nqv-ntv;/* Only simple time varying quantitative variable */
        !          8024:        /* Tmodeliqind[k]=nqtveff;/\* Only simple time varying quantitative variable *\/ */
        !          8025:        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);
        !          8026:       printf("Quasi TmodelInvQind[%d]=%d\n",k,Tvar[k]- ncovcol-nqv-ntv);
1.227     brouard  8027:     }else if (Typevar[k] == 1) {  /* product with age */
                   8028:       if (Tvar[k] <=ncovcol ){ /* Simple or product fixed dummy covariatee */
                   8029:        Fixed[k]= 2;
                   8030:        Dummy[k]= 2;
                   8031:        /* ncoveff++; */
                   8032:       }else if( Tvar[k] <=ncovcol+nqv) { /* Remind that product Vn*Vm are added in k*/
                   8033:        Fixed[k]= 2;
                   8034:        Dummy[k]= 3;
                   8035:        /* nqfveff++;  /\* Only simple fixed quantitative variable *\/ */
                   8036:       }else if( Tvar[k] <=ncovcol+nqv+ntv ){
                   8037:        Fixed[k]= 3;
                   8038:        Dummy[k]= 2;
                   8039:        /* ntveff++; /\* Only simple time varying dummy variable *\/ */
                   8040:       }else if( Tvar[k] <=ncovcol+nqv+ntv+nqtv){
                   8041:        Fixed[k]= 3;
                   8042:        Dummy[k]= 3;
                   8043:        /* nqtveff++;/\* Only simple time varying quantitative variable *\/ */
                   8044:       }
                   8045:     }else if (Typevar[k] == 2) {  /* product without age */
                   8046:       k1=Tposprod[k];
                   8047:       if(Tvard[k1][1] <=ncovcol){
                   8048:        if(Tvard[k1][2] <=ncovcol){
                   8049:          Fixed[k]= 1;
                   8050:          Dummy[k]= 0;
                   8051:        }else if(Tvard[k1][2] <=ncovcol+nqv){
                   8052:          Fixed[k]= 0;  /* or 2 ?*/
                   8053:          Dummy[k]= 1;
                   8054:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv){
                   8055:          Fixed[k]= 1;
                   8056:          Dummy[k]= 0;
                   8057:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv+nqtv){
                   8058:          Fixed[k]= 1;
                   8059:          Dummy[k]= 1;
                   8060:        } 
                   8061:       }else if(Tvard[k1][1] <=ncovcol+nqv){
                   8062:        if(Tvard[k1][2] <=ncovcol){
                   8063:          Fixed[k]= 0;  /* or 2 ?*/
                   8064:          Dummy[k]= 1;
                   8065:        }else if(Tvard[k1][2] <=ncovcol+nqv){
                   8066:          Fixed[k]= 0; /* or 2 ?*/
                   8067:          Dummy[k]= 1;
                   8068:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv){
                   8069:          Fixed[k]= 1;
                   8070:          Dummy[k]= 1;
                   8071:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv+nqtv){
                   8072:          Fixed[k]= 1;
                   8073:          Dummy[k]= 1;
                   8074:        } 
                   8075:       }else if(Tvard[k1][1] <=ncovcol+nqv+ntv){
                   8076:        if(Tvard[k1][2] <=ncovcol){
                   8077:          Fixed[k]= 1;
                   8078:          Dummy[k]= 1;
                   8079:        }else if(Tvard[k1][2] <=ncovcol+nqv){
                   8080:          Fixed[k]= 1;
                   8081:          Dummy[k]= 1;
                   8082:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv){
                   8083:          Fixed[k]= 1;
                   8084:          Dummy[k]= 0;
                   8085:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv+nqtv){
                   8086:          Fixed[k]= 1;
                   8087:          Dummy[k]= 1;
                   8088:        } 
                   8089:       }else if(Tvard[k1][1] <=ncovcol+nqv+ntv+nqtv){
                   8090:        if(Tvard[k1][2] <=ncovcol){
                   8091:          Fixed[k]= 1;
                   8092:          Dummy[k]= 1;
                   8093:        }else if(Tvard[k1][2] <=ncovcol+nqv){
                   8094:          Fixed[k]= 1;
                   8095:          Dummy[k]= 1;
                   8096:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv){
                   8097:          Fixed[k]= 1;
                   8098:          Dummy[k]= 1;
                   8099:        }else if(Tvard[k1][2] <=ncovcol+nqv+ntv+nqtv){
                   8100:          Fixed[k]= 1;
                   8101:          Dummy[k]= 1;
                   8102:        } 
                   8103:       }else{
                   8104:        printf("Error unknown type of covariate: Tvard[%d][1]=%d,Tvard[%d][2]=%d\n",k1,Tvard[k1][1],k1,Tvard[k1][2]);
                   8105:        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  8106:       } /* end k1 */
1.225     brouard  8107:     }else{
1.226     brouard  8108:       printf("Error, current version can't treat for performance reasons, Tvar[%d]=%d, Typevar[%d]=%d\n", k, Tvar[k], k, Typevar[k]);
                   8109:       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  8110:     }
1.227     brouard  8111:     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]);
                   8112:     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]);
                   8113:   }
                   8114:   /* Searching for doublons in the model */
                   8115:   for(k1=1; k1<= cptcovt;k1++){
                   8116:     for(k2=1; k2 <k1;k2++){
                   8117:       if((Typevar[k1]==Typevar[k2]) && (Fixed[Tvar[k1]]==Fixed[Tvar[k2]]) && (Dummy[Tvar[k1]]==Dummy[Tvar[k2]] )){
                   8118:        if((Typevar[k1] == 0 || Typevar[k1] == 1)){ /* Simple or age product */
                   8119:          if(Tvar[k1]==Tvar[k2]){
                   8120:            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]]);
                   8121:            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);
                   8122:            return(1);
                   8123:          }
                   8124:        }else if (Typevar[k1] ==2){
                   8125:          k3=Tposprod[k1];
                   8126:          k4=Tposprod[k2];
                   8127:          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])) ){
                   8128:            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]]);
                   8129:            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);
                   8130:            return(1);
                   8131:          }
                   8132:        }
                   8133:       }
                   8134:     }
1.225     brouard  8135:   }
                   8136:   printf("ncoveff=%d, nqfveff=%d, ntveff=%d, nqtveff=%d, cptcovn=%d\n",ncoveff,nqfveff,ntveff,nqtveff,cptcovn);
                   8137:   fprintf(ficlog,"ncoveff=%d, nqfveff=%d, ntveff=%d, nqtveff=%d, cptcovn=%d\n",ncoveff,nqfveff,ntveff,nqtveff,cptcovn);
1.137     brouard  8138:   return (0); /* with covar[new additional covariate if product] and Tage if age */ 
1.164     brouard  8139:   /*endread:*/
1.225     brouard  8140:   printf("Exiting decodemodel: ");
                   8141:   return (1);
1.136     brouard  8142: }
                   8143: 
1.169     brouard  8144: int calandcheckages(int imx, int maxwav, double *agemin, double *agemax, int *nberr, int *nbwarn )
1.136     brouard  8145: {
                   8146:   int i, m;
1.218     brouard  8147:   int firstone=0;
                   8148:   
1.136     brouard  8149:   for (i=1; i<=imx; i++) {
                   8150:     for(m=2; (m<= maxwav); m++) {
                   8151:       if (((int)mint[m][i]== 99) && (s[m][i] <= nlstate)){
                   8152:        anint[m][i]=9999;
1.216     brouard  8153:        if (s[m][i] != -2) /* Keeping initial status of unknown vital status */
                   8154:          s[m][i]=-1;
1.136     brouard  8155:       }
                   8156:       if((int)moisdc[i]==99 && (int)andc[i]==9999 && s[m][i]>nlstate){
1.169     brouard  8157:        *nberr = *nberr + 1;
1.218     brouard  8158:        if(firstone == 0){
                   8159:          firstone=1;
                   8160:        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);
                   8161:        }
                   8162:        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  8163:        s[m][i]=-1;
                   8164:       }
                   8165:       if((int)moisdc[i]==99 && (int)andc[i]!=9999 && s[m][i]>nlstate){
1.169     brouard  8166:        (*nberr)++;
1.136     brouard  8167:        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]); 
                   8168:        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]); 
                   8169:        s[m][i]=-1; /* We prefer to skip it (and to skip it in version 0.8a1 too */
                   8170:       }
                   8171:     }
                   8172:   }
                   8173: 
                   8174:   for (i=1; i<=imx; i++)  {
                   8175:     agedc[i]=(moisdc[i]/12.+andc[i])-(moisnais[i]/12.+annais[i]);
                   8176:     for(m=firstpass; (m<= lastpass); m++){
1.214     brouard  8177:       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  8178:        if (s[m][i] >= nlstate+1) {
1.169     brouard  8179:          if(agedc[i]>0){
                   8180:            if((int)moisdc[i]!=99 && (int)andc[i]!=9999){
1.136     brouard  8181:              agev[m][i]=agedc[i];
1.214     brouard  8182:              /*if(moisdc[i]==99 && andc[i]==9999) s[m][i]=-1;*/
1.169     brouard  8183:            }else {
1.136     brouard  8184:              if ((int)andc[i]!=9999){
                   8185:                nbwarn++;
                   8186:                printf("Warning negative age at death: %ld line:%d\n",num[i],i);
                   8187:                fprintf(ficlog,"Warning negative age at death: %ld line:%d\n",num[i],i);
                   8188:                agev[m][i]=-1;
                   8189:              }
                   8190:            }
1.169     brouard  8191:          } /* agedc > 0 */
1.214     brouard  8192:        } /* end if */
1.136     brouard  8193:        else if(s[m][i] !=9){ /* Standard case, age in fractional
                   8194:                                 years but with the precision of a month */
                   8195:          agev[m][i]=(mint[m][i]/12.+1./24.+anint[m][i])-(moisnais[i]/12.+1./24.+annais[i]);
                   8196:          if((int)mint[m][i]==99 || (int)anint[m][i]==9999)
                   8197:            agev[m][i]=1;
                   8198:          else if(agev[m][i] < *agemin){ 
                   8199:            *agemin=agev[m][i];
                   8200:            printf(" Min anint[%d][%d]=%.2f annais[%d]=%.2f, agemin=%.2f\n",m,i,anint[m][i], i,annais[i], *agemin);
                   8201:          }
                   8202:          else if(agev[m][i] >*agemax){
                   8203:            *agemax=agev[m][i];
1.156     brouard  8204:            /* printf(" Max anint[%d][%d]=%.0f annais[%d]=%.0f, agemax=%.2f\n",m,i,anint[m][i], i,annais[i], *agemax);*/
1.136     brouard  8205:          }
                   8206:          /*agev[m][i]=anint[m][i]-annais[i];*/
                   8207:          /*     agev[m][i] = age[i]+2*m;*/
1.214     brouard  8208:        } /* en if 9*/
1.136     brouard  8209:        else { /* =9 */
1.214     brouard  8210:          /* printf("Debug num[%d]=%ld s[%d][%d]=%d\n",i,num[i], m,i, s[m][i]); */
1.136     brouard  8211:          agev[m][i]=1;
                   8212:          s[m][i]=-1;
                   8213:        }
                   8214:       }
1.214     brouard  8215:       else if(s[m][i]==0) /*= 0 Unknown */
1.136     brouard  8216:        agev[m][i]=1;
1.214     brouard  8217:       else{
                   8218:        printf("Warning, num[%d]=%ld, s[%d][%d]=%d\n", i, num[i], m, i,s[m][i]); 
                   8219:        fprintf(ficlog, "Warning, num[%d]=%ld, s[%d][%d]=%d\n", i, num[i], m, i,s[m][i]); 
                   8220:        agev[m][i]=0;
                   8221:       }
                   8222:     } /* End for lastpass */
                   8223:   }
1.136     brouard  8224:     
                   8225:   for (i=1; i<=imx; i++)  {
                   8226:     for(m=firstpass; (m<=lastpass); m++){
                   8227:       if (s[m][i] > (nlstate+ndeath)) {
1.169     brouard  8228:        (*nberr)++;
1.136     brouard  8229:        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);     
                   8230:        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);     
                   8231:        return 1;
                   8232:       }
                   8233:     }
                   8234:   }
                   8235: 
                   8236:   /*for (i=1; i<=imx; i++){
                   8237:   for (m=firstpass; (m<lastpass); m++){
                   8238:      printf("%ld %d %.lf %d %d\n", num[i],(covar[1][i]),agev[m][i],s[m][i],s[m+1][i]);
                   8239: }
                   8240: 
                   8241: }*/
                   8242: 
                   8243: 
1.139     brouard  8244:   printf("Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, *agemin, *agemax);
                   8245:   fprintf(ficlog,"Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, *agemin, *agemax); 
1.136     brouard  8246: 
                   8247:   return (0);
1.164     brouard  8248:  /* endread:*/
1.136     brouard  8249:     printf("Exiting calandcheckages: ");
                   8250:     return (1);
                   8251: }
                   8252: 
1.172     brouard  8253: #if defined(_MSC_VER)
                   8254: /*printf("Visual C++ compiler: %s \n;", _MSC_FULL_VER);*/
                   8255: /*fprintf(ficlog, "Visual C++ compiler: %s \n;", _MSC_FULL_VER);*/
                   8256: //#include "stdafx.h"
                   8257: //#include <stdio.h>
                   8258: //#include <tchar.h>
                   8259: //#include <windows.h>
                   8260: //#include <iostream>
                   8261: typedef BOOL(WINAPI *LPFN_ISWOW64PROCESS) (HANDLE, PBOOL);
                   8262: 
                   8263: LPFN_ISWOW64PROCESS fnIsWow64Process;
                   8264: 
                   8265: BOOL IsWow64()
                   8266: {
                   8267:        BOOL bIsWow64 = FALSE;
                   8268: 
                   8269:        //typedef BOOL (APIENTRY *LPFN_ISWOW64PROCESS)
                   8270:        //  (HANDLE, PBOOL);
                   8271: 
                   8272:        //LPFN_ISWOW64PROCESS fnIsWow64Process;
                   8273: 
                   8274:        HMODULE module = GetModuleHandle(_T("kernel32"));
                   8275:        const char funcName[] = "IsWow64Process";
                   8276:        fnIsWow64Process = (LPFN_ISWOW64PROCESS)
                   8277:                GetProcAddress(module, funcName);
                   8278: 
                   8279:        if (NULL != fnIsWow64Process)
                   8280:        {
                   8281:                if (!fnIsWow64Process(GetCurrentProcess(),
                   8282:                        &bIsWow64))
                   8283:                        //throw std::exception("Unknown error");
                   8284:                        printf("Unknown error\n");
                   8285:        }
                   8286:        return bIsWow64 != FALSE;
                   8287: }
                   8288: #endif
1.177     brouard  8289: 
1.191     brouard  8290: void syscompilerinfo(int logged)
1.167     brouard  8291:  {
                   8292:    /* #include "syscompilerinfo.h"*/
1.185     brouard  8293:    /* command line Intel compiler 32bit windows, XP compatible:*/
                   8294:    /* /GS /W3 /Gy
                   8295:       /Zc:wchar_t /Zi /O2 /Fd"Release\vc120.pdb" /D "WIN32" /D "NDEBUG" /D
                   8296:       "_CONSOLE" /D "_LIB" /D "_USING_V110_SDK71_" /D "_UNICODE" /D
                   8297:       "UNICODE" /Qipo /Zc:forScope /Gd /Oi /MT /Fa"Release\" /EHsc /nologo
1.186     brouard  8298:       /Fo"Release\" /Qprof-dir "Release\" /Fp"Release\IMaCh.pch"
                   8299:    */ 
                   8300:    /* 64 bits */
1.185     brouard  8301:    /*
                   8302:      /GS /W3 /Gy
                   8303:      /Zc:wchar_t /Zi /O2 /Fd"x64\Release\vc120.pdb" /D "WIN32" /D "NDEBUG"
                   8304:      /D "_CONSOLE" /D "_LIB" /D "_UNICODE" /D "UNICODE" /Qipo /Zc:forScope
                   8305:      /Oi /MD /Fa"x64\Release\" /EHsc /nologo /Fo"x64\Release\" /Qprof-dir
                   8306:      "x64\Release\" /Fp"x64\Release\IMaCh.pch" */
                   8307:    /* Optimization are useless and O3 is slower than O2 */
                   8308:    /*
                   8309:      /GS /W3 /Gy /Zc:wchar_t /Zi /O3 /Fd"x64\Release\vc120.pdb" /D "WIN32" 
                   8310:      /D "NDEBUG" /D "_CONSOLE" /D "_LIB" /D "_UNICODE" /D "UNICODE" /Qipo 
                   8311:      /Zc:forScope /Oi /MD /Fa"x64\Release\" /EHsc /nologo /Qparallel 
                   8312:      /Fo"x64\Release\" /Qprof-dir "x64\Release\" /Fp"x64\Release\IMaCh.pch" 
                   8313:    */
1.186     brouard  8314:    /* Link is */ /* /OUT:"visual studio
1.185     brouard  8315:       2013\Projects\IMaCh\Release\IMaCh.exe" /MANIFEST /NXCOMPAT
                   8316:       /PDB:"visual studio
                   8317:       2013\Projects\IMaCh\Release\IMaCh.pdb" /DYNAMICBASE
                   8318:       "kernel32.lib" "user32.lib" "gdi32.lib" "winspool.lib"
                   8319:       "comdlg32.lib" "advapi32.lib" "shell32.lib" "ole32.lib"
                   8320:       "oleaut32.lib" "uuid.lib" "odbc32.lib" "odbccp32.lib"
                   8321:       /MACHINE:X86 /OPT:REF /SAFESEH /INCREMENTAL:NO
                   8322:       /SUBSYSTEM:CONSOLE",5.01" /MANIFESTUAC:"level='asInvoker'
                   8323:       uiAccess='false'"
                   8324:       /ManifestFile:"Release\IMaCh.exe.intermediate.manifest" /OPT:ICF
                   8325:       /NOLOGO /TLBID:1
                   8326:    */
1.177     brouard  8327: #if defined __INTEL_COMPILER
1.178     brouard  8328: #if defined(__GNUC__)
                   8329:        struct utsname sysInfo;  /* For Intel on Linux and OS/X */
                   8330: #endif
1.177     brouard  8331: #elif defined(__GNUC__) 
1.179     brouard  8332: #ifndef  __APPLE__
1.174     brouard  8333: #include <gnu/libc-version.h>  /* Only on gnu */
1.179     brouard  8334: #endif
1.177     brouard  8335:    struct utsname sysInfo;
1.178     brouard  8336:    int cross = CROSS;
                   8337:    if (cross){
                   8338:           printf("Cross-");
1.191     brouard  8339:           if(logged) fprintf(ficlog, "Cross-");
1.178     brouard  8340:    }
1.174     brouard  8341: #endif
                   8342: 
1.171     brouard  8343: #include <stdint.h>
1.178     brouard  8344: 
1.191     brouard  8345:    printf("Compiled with:");if(logged)fprintf(ficlog,"Compiled with:");
1.169     brouard  8346: #if defined(__clang__)
1.191     brouard  8347:    printf(" Clang/LLVM");if(logged)fprintf(ficlog," Clang/LLVM");      /* Clang/LLVM. ---------------------------------------------- */
1.169     brouard  8348: #endif
                   8349: #if defined(__ICC) || defined(__INTEL_COMPILER)
1.191     brouard  8350:    printf(" Intel ICC/ICPC");if(logged)fprintf(ficlog," Intel ICC/ICPC");/* Intel ICC/ICPC. ------------------------------------------ */
1.169     brouard  8351: #endif
                   8352: #if defined(__GNUC__) || defined(__GNUG__)
1.191     brouard  8353:    printf(" GNU GCC/G++");if(logged)fprintf(ficlog," GNU GCC/G++");/* GNU GCC/G++. --------------------------------------------- */
1.169     brouard  8354: #endif
                   8355: #if defined(__HP_cc) || defined(__HP_aCC)
1.191     brouard  8356:    printf(" Hewlett-Packard C/aC++");if(logged)fprintf(fcilog," Hewlett-Packard C/aC++"); /* Hewlett-Packard C/aC++. ---------------------------------- */
1.169     brouard  8357: #endif
                   8358: #if defined(__IBMC__) || defined(__IBMCPP__)
1.191     brouard  8359:    printf(" IBM XL C/C++"); if(logged) fprintf(ficlog," IBM XL C/C++");/* IBM XL C/C++. -------------------------------------------- */
1.169     brouard  8360: #endif
                   8361: #if defined(_MSC_VER)
1.191     brouard  8362:    printf(" Microsoft Visual Studio");if(logged)fprintf(ficlog," Microsoft Visual Studio");/* Microsoft Visual Studio. --------------------------------- */
1.169     brouard  8363: #endif
                   8364: #if defined(__PGI)
1.191     brouard  8365:    printf(" Portland Group PGCC/PGCPP");if(logged) fprintf(ficlog," Portland Group PGCC/PGCPP");/* Portland Group PGCC/PGCPP. ------------------------------- */
1.169     brouard  8366: #endif
                   8367: #if defined(__SUNPRO_C) || defined(__SUNPRO_CC)
1.191     brouard  8368:    printf(" Oracle Solaris Studio");if(logged)fprintf(ficlog," Oracle Solaris Studio\n");/* Oracle Solaris Studio. ----------------------------------- */
1.167     brouard  8369: #endif
1.191     brouard  8370:    printf(" for "); if (logged) fprintf(ficlog, " for ");
1.169     brouard  8371:    
1.167     brouard  8372: // http://stackoverflow.com/questions/4605842/how-to-identify-platform-compiler-from-preprocessor-macros
                   8373: #ifdef _WIN32 // note the underscore: without it, it's not msdn official!
                   8374:     // Windows (x64 and x86)
1.191     brouard  8375:    printf("Windows (x64 and x86) ");if(logged) fprintf(ficlog,"Windows (x64 and x86) ");
1.167     brouard  8376: #elif __unix__ // all unices, not all compilers
                   8377:     // Unix
1.191     brouard  8378:    printf("Unix ");if(logged) fprintf(ficlog,"Unix ");
1.167     brouard  8379: #elif __linux__
                   8380:     // linux
1.191     brouard  8381:    printf("linux ");if(logged) fprintf(ficlog,"linux ");
1.167     brouard  8382: #elif __APPLE__
1.174     brouard  8383:     // Mac OS, not sure if this is covered by __posix__ and/or __unix__ though..
1.191     brouard  8384:    printf("Mac OS ");if(logged) fprintf(ficlog,"Mac OS ");
1.167     brouard  8385: #endif
                   8386: 
                   8387: /*  __MINGW32__          */
                   8388: /*  __CYGWIN__  */
                   8389: /* __MINGW64__  */
                   8390: // http://msdn.microsoft.com/en-us/library/b0084kay.aspx
                   8391: /* _MSC_VER  //the Visual C++ compiler is 17.00.51106.1, the _MSC_VER macro evaluates to 1700. Type cl /?  */
                   8392: /* _MSC_FULL_VER //the Visual C++ compiler is 15.00.20706.01, the _MSC_FULL_VER macro evaluates to 150020706 */
                   8393: /* _WIN64  // Defined for applications for Win64. */
                   8394: /* _M_X64 // Defined for compilations that target x64 processors. */
                   8395: /* _DEBUG // Defined when you compile with /LDd, /MDd, and /MTd. */
1.171     brouard  8396: 
1.167     brouard  8397: #if UINTPTR_MAX == 0xffffffff
1.191     brouard  8398:    printf(" 32-bit"); if(logged) fprintf(ficlog," 32-bit");/* 32-bit */
1.167     brouard  8399: #elif UINTPTR_MAX == 0xffffffffffffffff
1.191     brouard  8400:    printf(" 64-bit"); if(logged) fprintf(ficlog," 64-bit");/* 64-bit */
1.167     brouard  8401: #else
1.191     brouard  8402:    printf(" wtf-bit"); if(logged) fprintf(ficlog," wtf-bit");/* wtf */
1.167     brouard  8403: #endif
                   8404: 
1.169     brouard  8405: #if defined(__GNUC__)
                   8406: # if defined(__GNUC_PATCHLEVEL__)
                   8407: #  define __GNUC_VERSION__ (__GNUC__ * 10000 \
                   8408:                             + __GNUC_MINOR__ * 100 \
                   8409:                             + __GNUC_PATCHLEVEL__)
                   8410: # else
                   8411: #  define __GNUC_VERSION__ (__GNUC__ * 10000 \
                   8412:                             + __GNUC_MINOR__ * 100)
                   8413: # endif
1.174     brouard  8414:    printf(" using GNU C version %d.\n", __GNUC_VERSION__);
1.191     brouard  8415:    if(logged) fprintf(ficlog, " using GNU C version %d.\n", __GNUC_VERSION__);
1.176     brouard  8416: 
                   8417:    if (uname(&sysInfo) != -1) {
                   8418:      printf("Running on: %s %s %s %s %s\n",sysInfo.sysname, sysInfo.nodename, sysInfo.release, sysInfo.version, sysInfo.machine);
1.191     brouard  8419:         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  8420:    }
                   8421:    else
                   8422:       perror("uname() error");
1.179     brouard  8423:    //#ifndef __INTEL_COMPILER 
                   8424: #if !defined (__INTEL_COMPILER) && !defined(__APPLE__)
1.174     brouard  8425:    printf("GNU libc version: %s\n", gnu_get_libc_version()); 
1.191     brouard  8426:    if(logged) fprintf(ficlog,"GNU libc version: %s\n", gnu_get_libc_version());
1.177     brouard  8427: #endif
1.169     brouard  8428: #endif
1.172     brouard  8429: 
                   8430:    //   void main()
                   8431:    //   {
1.169     brouard  8432: #if defined(_MSC_VER)
1.174     brouard  8433:    if (IsWow64()){
1.191     brouard  8434:           printf("\nThe program (probably compiled for 32bit) is running under WOW64 (64bit) emulation.\n");
                   8435:           if (logged) fprintf(ficlog, "\nThe program (probably compiled for 32bit) is running under WOW64 (64bit) emulation.\n");
1.174     brouard  8436:    }
                   8437:    else{
1.191     brouard  8438:           printf("\nThe program is not running under WOW64 (i.e probably on a 64bit Windows).\n");
                   8439:           if (logged) fprintf(ficlog, "\nThe programm is not running under WOW64 (i.e probably on a 64bit Windows).\n");
1.174     brouard  8440:    }
1.172     brouard  8441:    //     printf("\nPress Enter to continue...");
                   8442:    //     getchar();
                   8443:    //   }
                   8444: 
1.169     brouard  8445: #endif
                   8446:    
1.167     brouard  8447: 
1.219     brouard  8448: }
1.136     brouard  8449: 
1.219     brouard  8450: int prevalence_limit(double *p, double **prlim, double ageminpar, double agemaxpar, double ftolpl, int *ncvyearp){
1.180     brouard  8451:   /*--------------- Prevalence limit  (period or stable prevalence) --------------*/
                   8452:   int i, j, k, i1 ;
1.202     brouard  8453:   /* double ftolpl = 1.e-10; */
1.180     brouard  8454:   double age, agebase, agelim;
1.203     brouard  8455:   double tot;
1.180     brouard  8456: 
1.202     brouard  8457:   strcpy(filerespl,"PL_");
                   8458:   strcat(filerespl,fileresu);
                   8459:   if((ficrespl=fopen(filerespl,"w"))==NULL) {
                   8460:     printf("Problem with period (stable) prevalence resultfile: %s\n", filerespl);return 1;
                   8461:     fprintf(ficlog,"Problem with period (stable) prevalence resultfile: %s\n", filerespl);return 1;
                   8462:   }
1.227     brouard  8463:   printf("\nComputing period (stable) prevalence: result on file '%s' \n", filerespl);
                   8464:   fprintf(ficlog,"\nComputing period (stable) prevalence: result on file '%s' \n", filerespl);
1.202     brouard  8465:   pstamp(ficrespl);
1.203     brouard  8466:   fprintf(ficrespl,"# Period (stable) prevalence. Precision given by ftolpl=%g \n", ftolpl);
1.202     brouard  8467:   fprintf(ficrespl,"#Age ");
                   8468:   for(i=1; i<=nlstate;i++) fprintf(ficrespl,"%d-%d ",i,i);
                   8469:   fprintf(ficrespl,"\n");
1.180     brouard  8470:   
1.219     brouard  8471:   /* prlim=matrix(1,nlstate,1,nlstate);*/ /* back in main */
1.180     brouard  8472: 
1.219     brouard  8473:   agebase=ageminpar;
                   8474:   agelim=agemaxpar;
1.180     brouard  8475: 
1.227     brouard  8476:   /* i1=pow(2,ncoveff); */
                   8477:   i1=pow(2,cptcoveff); /* Number of dummy covariates */
1.219     brouard  8478:   if (cptcovn < 1){i1=1;}
1.180     brouard  8479: 
1.220     brouard  8480:   for(k=1; k<=i1;k++){
                   8481:   /* for(cptcov=1,k=0;cptcov<=i1;cptcov++){ */
1.180     brouard  8482:     /* for(cptcov=1,k=0;cptcov<=1;cptcov++){ */
1.219     brouard  8483:     //for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){
1.220     brouard  8484:     /* k=k+1; */
1.219     brouard  8485:     /* to clean */
                   8486:     //printf("cptcov=%d cptcod=%d codtab=%d\n",cptcov, cptcod,codtabm(cptcod,cptcov));
                   8487:     fprintf(ficrespl,"#******");
                   8488:     printf("#******");
                   8489:     fprintf(ficlog,"#******");
1.227     brouard  8490:     for(j=1;j<=cptcoveff ;j++) {/* all covariates */
                   8491:       fprintf(ficrespl," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]); /* Here problem for varying dummy*/
1.219     brouard  8492:       printf(" V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8493:       fprintf(ficlog," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8494:     }
                   8495:     fprintf(ficrespl,"******\n");
                   8496:     printf("******\n");
                   8497:     fprintf(ficlog,"******\n");
1.227     brouard  8498:     if(invalidvarcomb[k]){
                   8499:       printf("\nCombination (%d) ignored because no case \n",k); 
                   8500:       fprintf(ficrespl,"#Combination (%d) ignored because no case \n",k); 
                   8501:       fprintf(ficlog,"\nCombination (%d) ignored because no case \n",k); 
1.220     brouard  8502:                                                continue;
1.227     brouard  8503:     }
1.219     brouard  8504: 
                   8505:     fprintf(ficrespl,"#Age ");
1.227     brouard  8506:     for(j=1;j<=cptcoveff;j++) {
1.219     brouard  8507:       fprintf(ficrespl,"V%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8508:     }
                   8509:     for(i=1; i<=nlstate;i++) fprintf(ficrespl,"  %d-%d   ",i,i);
                   8510:     fprintf(ficrespl,"Total Years_to_converge\n");
1.227     brouard  8511:     
1.219     brouard  8512:     for (age=agebase; age<=agelim; age++){
                   8513:       /* for (age=agebase; age<=agebase; age++){ */
                   8514:       prevalim(prlim, nlstate, p, age, oldm, savm, ftolpl, ncvyearp, k);
                   8515:       fprintf(ficrespl,"%.0f ",age );
1.227     brouard  8516:       for(j=1;j<=cptcoveff;j++)
                   8517:        fprintf(ficrespl,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.219     brouard  8518:       tot=0.;
                   8519:       for(i=1; i<=nlstate;i++){
1.227     brouard  8520:        tot +=  prlim[i][i];
                   8521:        fprintf(ficrespl," %.5f", prlim[i][i]);
1.219     brouard  8522:       }
                   8523:       fprintf(ficrespl," %.3f %d\n", tot, *ncvyearp);
                   8524:     } /* Age */
                   8525:     /* was end of cptcod */
                   8526:   } /* cptcov */
                   8527:   return 0;
1.180     brouard  8528: }
                   8529: 
1.218     brouard  8530: 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){
                   8531:        /*--------------- Back Prevalence limit  (period or stable prevalence) --------------*/
                   8532:        
                   8533:        /* Computes the back prevalence limit  for any combination      of covariate values 
                   8534:    * at any age between ageminpar and agemaxpar
                   8535:         */
1.217     brouard  8536:   int i, j, k, i1 ;
                   8537:   /* double ftolpl = 1.e-10; */
                   8538:   double age, agebase, agelim;
                   8539:   double tot;
1.218     brouard  8540:   /* double ***mobaverage; */
                   8541:   /* double     **dnewm, **doldm, **dsavm;  /\* for use *\/ */
1.217     brouard  8542: 
                   8543:   strcpy(fileresplb,"PLB_");
                   8544:   strcat(fileresplb,fileresu);
                   8545:   if((ficresplb=fopen(fileresplb,"w"))==NULL) {
                   8546:     printf("Problem with period (stable) back prevalence resultfile: %s\n", fileresplb);return 1;
                   8547:     fprintf(ficlog,"Problem with period (stable) back prevalence resultfile: %s\n", fileresplb);return 1;
                   8548:   }
                   8549:   printf("Computing period (stable) back prevalence: result on file '%s' \n", fileresplb);
                   8550:   fprintf(ficlog,"Computing period (stable) back prevalence: result on file '%s' \n", fileresplb);
                   8551:   pstamp(ficresplb);
                   8552:   fprintf(ficresplb,"# Period (stable) back prevalence. Precision given by ftolpl=%g \n", ftolpl);
                   8553:   fprintf(ficresplb,"#Age ");
                   8554:   for(i=1; i<=nlstate;i++) fprintf(ficresplb,"%d-%d ",i,i);
                   8555:   fprintf(ficresplb,"\n");
                   8556:   
1.218     brouard  8557:   
                   8558:   /* prlim=matrix(1,nlstate,1,nlstate);*/ /* back in main */
                   8559:   
                   8560:   agebase=ageminpar;
                   8561:   agelim=agemaxpar;
                   8562:   
                   8563:   
1.227     brouard  8564:   i1=pow(2,cptcoveff);
1.218     brouard  8565:   if (cptcovn < 1){i1=1;}
1.227     brouard  8566:   
                   8567:   for(k=1; k<=i1;k++){ 
1.218     brouard  8568:     //printf("cptcov=%d cptcod=%d codtab=%d\n",cptcov, cptcod,codtabm(cptcod,cptcov));
                   8569:     fprintf(ficresplb,"#******");
                   8570:     printf("#******");
                   8571:     fprintf(ficlog,"#******");
1.227     brouard  8572:     for(j=1;j<=cptcoveff ;j++) {/* all covariates */
1.218     brouard  8573:       fprintf(ficresplb," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8574:       printf(" V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8575:       fprintf(ficlog," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8576:     }
                   8577:     fprintf(ficresplb,"******\n");
                   8578:     printf("******\n");
                   8579:     fprintf(ficlog,"******\n");
1.227     brouard  8580:     if(invalidvarcomb[k]){
                   8581:       printf("\nCombination (%d) ignored because no cases \n",k); 
                   8582:       fprintf(ficresplb,"#Combination (%d) ignored because no cases \n",k); 
                   8583:       fprintf(ficlog,"\nCombination (%d) ignored because no cases \n",k); 
                   8584:       continue;
                   8585:     }
1.218     brouard  8586:     
                   8587:     fprintf(ficresplb,"#Age ");
1.227     brouard  8588:     for(j=1;j<=cptcoveff;j++) {
1.218     brouard  8589:       fprintf(ficresplb,"V%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8590:     }
                   8591:     for(i=1; i<=nlstate;i++) fprintf(ficresplb,"  %d-%d   ",i,i);
                   8592:     fprintf(ficresplb,"Total Years_to_converge\n");
                   8593:     
                   8594:     
                   8595:     for (age=agebase; age<=agelim; age++){
                   8596:       /* for (age=agebase; age<=agebase; age++){ */
                   8597:       if(mobilavproj > 0){
                   8598:        /* bprevalim(bprlim, mobaverage, nlstate, p, age, ageminpar, agemaxpar, oldm, savm, doldm, dsavm, ftolpl, ncvyearp, k); */
                   8599:        /* bprevalim(bprlim, mobaverage, nlstate, p, age, oldm, savm, dnewm, doldm, dsavm, ftolpl, ncvyearp, k); */
1.227     brouard  8600:        bprevalim(bprlim, mobaverage, nlstate, p, age, ftolpl, ncvyearp, k);
1.218     brouard  8601:       }else if (mobilavproj == 0){
1.227     brouard  8602:        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);
                   8603:        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);
                   8604:        exit(1);
1.218     brouard  8605:       }else{
1.227     brouard  8606:        /* bprevalim(bprlim, probs, nlstate, p, age, oldm, savm, dnewm, doldm, dsavm, ftolpl, ncvyearp, k); */
                   8607:        bprevalim(bprlim, probs, nlstate, p, age, ftolpl, ncvyearp, k);
1.218     brouard  8608:       }
                   8609:       fprintf(ficresplb,"%.0f ",age );
1.227     brouard  8610:       for(j=1;j<=cptcoveff;j++)
                   8611:        fprintf(ficresplb,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.218     brouard  8612:       tot=0.;
                   8613:       for(i=1; i<=nlstate;i++){
1.227     brouard  8614:        tot +=  bprlim[i][i];
                   8615:        fprintf(ficresplb," %.5f", bprlim[i][i]);
1.218     brouard  8616:       }
                   8617:       fprintf(ficresplb," %.3f %d\n", tot, *ncvyearp);
                   8618:     } /* Age */
                   8619:     /* was end of cptcod */
                   8620:   } /* cptcov */
                   8621:   
                   8622:   /* hBijx(p, bage, fage); */
                   8623:   /* fclose(ficrespijb); */
                   8624:   
                   8625:   return 0;
1.217     brouard  8626: }
1.218     brouard  8627:  
1.180     brouard  8628: int hPijx(double *p, int bage, int fage){
                   8629:     /*------------- h Pij x at various ages ------------*/
                   8630: 
                   8631:   int stepsize;
                   8632:   int agelim;
                   8633:   int hstepm;
                   8634:   int nhstepm;
                   8635:   int h, i, i1, j, k;
                   8636: 
                   8637:   double agedeb;
                   8638:   double ***p3mat;
                   8639: 
1.201     brouard  8640:     strcpy(filerespij,"PIJ_");  strcat(filerespij,fileresu);
1.180     brouard  8641:     if((ficrespij=fopen(filerespij,"w"))==NULL) {
                   8642:       printf("Problem with Pij resultfile: %s\n", filerespij); return 1;
                   8643:       fprintf(ficlog,"Problem with Pij resultfile: %s\n", filerespij); return 1;
                   8644:     }
                   8645:     printf("Computing pij: result on file '%s' \n", filerespij);
                   8646:     fprintf(ficlog,"Computing pij: result on file '%s' \n", filerespij);
                   8647:   
                   8648:     stepsize=(int) (stepm+YEARM-1)/YEARM;
                   8649:     /*if (stepm<=24) stepsize=2;*/
                   8650: 
                   8651:     agelim=AGESUP;
                   8652:     hstepm=stepsize*YEARM; /* Every year of age */
                   8653:     hstepm=hstepm/stepm; /* Typically 2 years, = 2/6 months = 4 */ 
1.218     brouard  8654:                
1.180     brouard  8655:     /* hstepm=1;   aff par mois*/
                   8656:     pstamp(ficrespij);
                   8657:     fprintf(ficrespij,"#****** h Pij x Probability to be in state j at age x+h being in i at x ");
1.227     brouard  8658:     i1= pow(2,cptcoveff);
1.218     brouard  8659:                /* for(cptcov=1,k=0;cptcov<=i1;cptcov++){ */
                   8660:                /*    /\*for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*\/ */
                   8661:                /*      k=k+1;  */
1.227     brouard  8662:     for (k=1; k <= (int) pow(2,cptcoveff); k++){
1.183     brouard  8663:       fprintf(ficrespij,"\n#****** ");
1.227     brouard  8664:       for(j=1;j<=cptcoveff;j++) 
1.198     brouard  8665:        fprintf(ficrespij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.183     brouard  8666:       fprintf(ficrespij,"******\n");
                   8667:       
                   8668:       for (agedeb=fage; agedeb>=bage; agedeb--){ /* If stepm=6 months */
                   8669:        nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
                   8670:        nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
                   8671:        
                   8672:        /*        nhstepm=nhstepm*YEARM; aff par mois*/
1.180     brouard  8673:        
1.183     brouard  8674:        p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   8675:        oldm=oldms;savm=savms;
                   8676:        hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);  
                   8677:        fprintf(ficrespij,"# Cov Agex agex+h hpijx with i,j=");
                   8678:        for(i=1; i<=nlstate;i++)
                   8679:          for(j=1; j<=nlstate+ndeath;j++)
                   8680:            fprintf(ficrespij," %1d-%1d",i,j);
                   8681:        fprintf(ficrespij,"\n");
                   8682:        for (h=0; h<=nhstepm; h++){
                   8683:          /*agedebphstep = agedeb + h*hstepm/YEARM*stepm;*/
                   8684:          fprintf(ficrespij,"%d %3.f %3.f",k, agedeb, agedeb + h*hstepm/YEARM*stepm );
1.180     brouard  8685:          for(i=1; i<=nlstate;i++)
                   8686:            for(j=1; j<=nlstate+ndeath;j++)
1.183     brouard  8687:              fprintf(ficrespij," %.5f", p3mat[i][j][h]);
1.180     brouard  8688:          fprintf(ficrespij,"\n");
                   8689:        }
1.183     brouard  8690:        free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   8691:        fprintf(ficrespij,"\n");
                   8692:       }
1.180     brouard  8693:       /*}*/
                   8694:     }
1.218     brouard  8695:     return 0;
1.180     brouard  8696: }
1.218     brouard  8697:  
                   8698:  int hBijx(double *p, int bage, int fage, double ***prevacurrent){
1.217     brouard  8699:     /*------------- h Bij x at various ages ------------*/
                   8700: 
                   8701:   int stepsize;
1.218     brouard  8702:   /* int agelim; */
                   8703:        int ageminl;
1.217     brouard  8704:   int hstepm;
                   8705:   int nhstepm;
                   8706:   int h, i, i1, j, k;
1.218     brouard  8707:        
1.217     brouard  8708:   double agedeb;
                   8709:   double ***p3mat;
1.218     brouard  8710:        
                   8711:   strcpy(filerespijb,"PIJB_");  strcat(filerespijb,fileresu);
                   8712:   if((ficrespijb=fopen(filerespijb,"w"))==NULL) {
                   8713:     printf("Problem with Pij back resultfile: %s\n", filerespijb); return 1;
                   8714:     fprintf(ficlog,"Problem with Pij back resultfile: %s\n", filerespijb); return 1;
                   8715:   }
                   8716:   printf("Computing pij back: result on file '%s' \n", filerespijb);
                   8717:   fprintf(ficlog,"Computing pij back: result on file '%s' \n", filerespijb);
                   8718:   
                   8719:   stepsize=(int) (stepm+YEARM-1)/YEARM;
                   8720:   /*if (stepm<=24) stepsize=2;*/
1.217     brouard  8721:   
1.218     brouard  8722:   /* agelim=AGESUP; */
                   8723:   ageminl=30;
                   8724:   hstepm=stepsize*YEARM; /* Every year of age */
                   8725:   hstepm=hstepm/stepm; /* Typically 2 years, = 2/6 months = 4 */
                   8726:   
                   8727:   /* hstepm=1;   aff par mois*/
                   8728:   pstamp(ficrespijb);
                   8729:   fprintf(ficrespijb,"#****** h Pij x Back Probability to be in state i at age x-h being in j at x ");
1.227     brouard  8730:   i1= pow(2,cptcoveff);
1.218     brouard  8731:   /* for(cptcov=1,k=0;cptcov<=i1;cptcov++){ */
                   8732:   /*    /\*for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*\/ */
                   8733:   /*   k=k+1;  */
1.227     brouard  8734:   for (k=1; k <= (int) pow(2,cptcoveff); k++){
1.218     brouard  8735:     fprintf(ficrespijb,"\n#****** ");
1.227     brouard  8736:     for(j=1;j<=cptcoveff;j++)
1.218     brouard  8737:       fprintf(ficrespijb,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8738:     fprintf(ficrespijb,"******\n");
1.222     brouard  8739:     if(invalidvarcomb[k]){
                   8740:       fprintf(ficrespijb,"\n#Combination (%d) ignored because no cases \n",k); 
                   8741:       continue;
                   8742:     }
1.218     brouard  8743:     
                   8744:     /* for (agedeb=fage; agedeb>=bage; agedeb--){ /\* If stepm=6 months *\/ */
                   8745:     for (agedeb=bage; agedeb<=fage; agedeb++){ /* If stepm=6 months and estepm=24 (2 years) */
                   8746:       /* nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); /\* Typically 20 years = 20*12/6=40 *\/ */
                   8747:       nhstepm=(int) rint((agedeb-ageminl)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */
                   8748:       nhstepm = nhstepm/hstepm; /* Typically 40/4=10, because estepm=24 stepm=6 => hstepm=24/6=4 */
                   8749:       
                   8750:       /*         nhstepm=nhstepm*YEARM; aff par mois*/
                   8751:       
                   8752:       p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   8753:       /* oldm=oldms;savm=savms; */
                   8754:       /* hbxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);   */
                   8755:       hbxij(p3mat,nhstepm,agedeb,hstepm,p,prevacurrent,nlstate,stepm, k);
                   8756:       /* hbxij(p3mat,nhstepm,agedeb,hstepm,p,prevacurrent,nlstate,stepm,oldm,savm, dnewm, doldm, dsavm, k); */
                   8757:       fprintf(ficrespijb,"# Cov Agex agex-h hpijx with i,j=");
                   8758:       for(i=1; i<=nlstate;i++)
                   8759:        for(j=1; j<=nlstate+ndeath;j++)
                   8760:          fprintf(ficrespijb," %1d-%1d",i,j);
                   8761:       fprintf(ficrespijb,"\n");
                   8762:       for (h=0; h<=nhstepm; h++){
                   8763:        /*agedebphstep = agedeb + h*hstepm/YEARM*stepm;*/
                   8764:        fprintf(ficrespijb,"%d %3.f %3.f",k, agedeb, agedeb - h*hstepm/YEARM*stepm );
                   8765:        /* fprintf(ficrespijb,"%d %3.f %3.f",k, agedeb, agedeb + h*hstepm/YEARM*stepm ); */
1.217     brouard  8766:        for(i=1; i<=nlstate;i++)
                   8767:          for(j=1; j<=nlstate+ndeath;j++)
1.218     brouard  8768:            fprintf(ficrespijb," %.5f", p3mat[i][j][h]);
1.217     brouard  8769:        fprintf(ficrespijb,"\n");
                   8770:       }
1.218     brouard  8771:       free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   8772:       fprintf(ficrespijb,"\n");
1.217     brouard  8773:     }
1.218     brouard  8774:     /*}*/
                   8775:   }
                   8776:   return 0;
                   8777:  } /*  hBijx */
1.217     brouard  8778: 
1.180     brouard  8779: 
1.136     brouard  8780: /***********************************************/
                   8781: /**************** Main Program *****************/
                   8782: /***********************************************/
                   8783: 
                   8784: int main(int argc, char *argv[])
                   8785: {
                   8786: #ifdef GSL
                   8787:   const gsl_multimin_fminimizer_type *T;
                   8788:   size_t iteri = 0, it;
                   8789:   int rval = GSL_CONTINUE;
                   8790:   int status = GSL_SUCCESS;
                   8791:   double ssval;
                   8792: #endif
                   8793:   int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav);
1.164     brouard  8794:   int i,j, k, n=MAXN,iter=0,m,size=100, cptcod;
1.209     brouard  8795:   int ncvyear=0; /* Number of years needed for the period prevalence to converge */
1.164     brouard  8796:   int jj, ll, li, lj, lk;
1.136     brouard  8797:   int numlinepar=0; /* Current linenumber of parameter file */
1.197     brouard  8798:   int num_filled;
1.136     brouard  8799:   int itimes;
                   8800:   int NDIM=2;
                   8801:   int vpopbased=0;
                   8802: 
1.164     brouard  8803:   char ca[32], cb[32];
1.136     brouard  8804:   /*  FILE *fichtm; *//* Html File */
                   8805:   /* FILE *ficgp;*/ /*Gnuplot File */
                   8806:   struct stat info;
1.191     brouard  8807:   double agedeb=0.;
1.194     brouard  8808: 
                   8809:   double ageminpar=AGEOVERFLOW,agemin=AGEOVERFLOW, agemaxpar=-AGEOVERFLOW, agemax=-AGEOVERFLOW;
1.219     brouard  8810:   double ageminout=-AGEOVERFLOW,agemaxout=AGEOVERFLOW; /* Smaller Age range redefined after movingaverage */
1.136     brouard  8811: 
1.165     brouard  8812:   double fret;
1.191     brouard  8813:   double dum=0.; /* Dummy variable */
1.136     brouard  8814:   double ***p3mat;
1.218     brouard  8815:   /* double ***mobaverage; */
1.164     brouard  8816: 
                   8817:   char line[MAXLINE];
1.197     brouard  8818:   char path[MAXLINE],pathc[MAXLINE],pathcd[MAXLINE],pathtot[MAXLINE];
                   8819: 
                   8820:   char model[MAXLINE], modeltemp[MAXLINE];
1.136     brouard  8821:   char pathr[MAXLINE], pathimach[MAXLINE]; 
1.164     brouard  8822:   char *tok, *val; /* pathtot */
1.136     brouard  8823:   int firstobs=1, lastobs=10;
1.195     brouard  8824:   int c,  h , cpt, c2;
1.191     brouard  8825:   int jl=0;
                   8826:   int i1, j1, jk, stepsize=0;
1.194     brouard  8827:   int count=0;
                   8828: 
1.164     brouard  8829:   int *tab; 
1.136     brouard  8830:   int mobilavproj=0 , prevfcast=0 ; /* moving average of prev, If prevfcast=1 prevalence projection */
1.217     brouard  8831:   int backcast=0;
1.136     brouard  8832:   int mobilav=0,popforecast=0;
1.191     brouard  8833:   int hstepm=0, nhstepm=0;
1.136     brouard  8834:   int agemortsup;
                   8835:   float  sumlpop=0.;
                   8836:   double jprev1=1, mprev1=1,anprev1=2000,jprev2=1, mprev2=1,anprev2=2000;
                   8837:   double jpyram=1, mpyram=1,anpyram=2000,jpyram1=1, mpyram1=1,anpyram1=2000;
                   8838: 
1.191     brouard  8839:   double bage=0, fage=110., age, agelim=0., agebase=0.;
1.136     brouard  8840:   double ftolpl=FTOL;
                   8841:   double **prlim;
1.217     brouard  8842:   double **bprlim;
1.136     brouard  8843:   double ***param; /* Matrix of parameters */
                   8844:   double  *p;
                   8845:   double **matcov; /* Matrix of covariance */
1.203     brouard  8846:   double **hess; /* Hessian matrix */
1.136     brouard  8847:   double ***delti3; /* Scale */
                   8848:   double *delti; /* Scale */
                   8849:   double ***eij, ***vareij;
                   8850:   double **varpl; /* Variances of prevalence limits by age */
                   8851:   double *epj, vepp;
1.164     brouard  8852: 
1.136     brouard  8853:   double dateprev1, dateprev2,jproj1=1,mproj1=1,anproj1=2000,jproj2=1,mproj2=1,anproj2=2000;
1.217     brouard  8854:   double jback1=1,mback1=1,anback1=2000,jback2=1,mback2=1,anback2=2000;
                   8855: 
1.136     brouard  8856:   double **ximort;
1.145     brouard  8857:   char *alph[]={"a","a","b","c","d","e"}, str[4]="1234";
1.136     brouard  8858:   int *dcwave;
                   8859: 
1.164     brouard  8860:   char z[1]="c";
1.136     brouard  8861: 
                   8862:   /*char  *strt;*/
                   8863:   char strtend[80];
1.126     brouard  8864: 
1.164     brouard  8865: 
1.126     brouard  8866: /*   setlocale (LC_ALL, ""); */
                   8867: /*   bindtextdomain (PACKAGE, LOCALEDIR); */
                   8868: /*   textdomain (PACKAGE); */
                   8869: /*   setlocale (LC_CTYPE, ""); */
                   8870: /*   setlocale (LC_MESSAGES, ""); */
                   8871: 
                   8872:   /*   gettimeofday(&start_time, (struct timezone*)0); */ /* at first time */
1.157     brouard  8873:   rstart_time = time(NULL);  
                   8874:   /*  (void) gettimeofday(&start_time,&tzp);*/
                   8875:   start_time = *localtime(&rstart_time);
1.126     brouard  8876:   curr_time=start_time;
1.157     brouard  8877:   /*tml = *localtime(&start_time.tm_sec);*/
                   8878:   /* strcpy(strstart,asctime(&tml)); */
                   8879:   strcpy(strstart,asctime(&start_time));
1.126     brouard  8880: 
                   8881: /*  printf("Localtime (at start)=%s",strstart); */
1.157     brouard  8882: /*  tp.tm_sec = tp.tm_sec +86400; */
                   8883: /*  tm = *localtime(&start_time.tm_sec); */
1.126     brouard  8884: /*   tmg.tm_year=tmg.tm_year +dsign*dyear; */
                   8885: /*   tmg.tm_mon=tmg.tm_mon +dsign*dmonth; */
                   8886: /*   tmg.tm_hour=tmg.tm_hour + 1; */
1.157     brouard  8887: /*   tp.tm_sec = mktime(&tmg); */
1.126     brouard  8888: /*   strt=asctime(&tmg); */
                   8889: /*   printf("Time(after) =%s",strstart);  */
                   8890: /*  (void) time (&time_value);
                   8891: *  printf("time=%d,t-=%d\n",time_value,time_value-86400);
                   8892: *  tm = *localtime(&time_value);
                   8893: *  strstart=asctime(&tm);
                   8894: *  printf("tim_value=%d,asctime=%s\n",time_value,strstart); 
                   8895: */
                   8896: 
                   8897:   nberr=0; /* Number of errors and warnings */
                   8898:   nbwarn=0;
1.184     brouard  8899: #ifdef WIN32
                   8900:   _getcwd(pathcd, size);
                   8901: #else
1.126     brouard  8902:   getcwd(pathcd, size);
1.184     brouard  8903: #endif
1.191     brouard  8904:   syscompilerinfo(0);
1.196     brouard  8905:   printf("\nIMaCh version %s, %s\n%s",version, copyright, fullversion);
1.126     brouard  8906:   if(argc <=1){
                   8907:     printf("\nEnter the parameter file name: ");
1.205     brouard  8908:     if(!fgets(pathr,FILENAMELENGTH,stdin)){
                   8909:       printf("ERROR Empty parameter file name\n");
                   8910:       goto end;
                   8911:     }
1.126     brouard  8912:     i=strlen(pathr);
                   8913:     if(pathr[i-1]=='\n')
                   8914:       pathr[i-1]='\0';
1.156     brouard  8915:     i=strlen(pathr);
1.205     brouard  8916:     if(i >= 1 && pathr[i-1]==' ') {/* This may happen when dragging on oS/X! */
1.156     brouard  8917:       pathr[i-1]='\0';
1.205     brouard  8918:     }
                   8919:     i=strlen(pathr);
                   8920:     if( i==0 ){
                   8921:       printf("ERROR Empty parameter file name\n");
                   8922:       goto end;
                   8923:     }
                   8924:     for (tok = pathr; tok != NULL; ){
1.126     brouard  8925:       printf("Pathr |%s|\n",pathr);
                   8926:       while ((val = strsep(&tok, "\"" )) != NULL && *val == '\0');
                   8927:       printf("val= |%s| pathr=%s\n",val,pathr);
                   8928:       strcpy (pathtot, val);
                   8929:       if(pathr[0] == '\0') break; /* Dirty */
                   8930:     }
                   8931:   }
                   8932:   else{
                   8933:     strcpy(pathtot,argv[1]);
                   8934:   }
                   8935:   /*if(getcwd(pathcd, MAXLINE)!= NULL)printf ("Error pathcd\n");*/
                   8936:   /*cygwin_split_path(pathtot,path,optionfile);
                   8937:     printf("pathtot=%s, path=%s, optionfile=%s\n",pathtot,path,optionfile);*/
                   8938:   /* cutv(path,optionfile,pathtot,'\\');*/
                   8939: 
                   8940:   /* Split argv[0], imach program to get pathimach */
                   8941:   printf("\nargv[0]=%s argv[1]=%s, \n",argv[0],argv[1]);
                   8942:   split(argv[0],pathimach,optionfile,optionfilext,optionfilefiname);
                   8943:   printf("\nargv[0]=%s pathimach=%s, \noptionfile=%s \noptionfilext=%s \noptionfilefiname=%s\n",argv[0],pathimach,optionfile,optionfilext,optionfilefiname);
                   8944:  /*   strcpy(pathimach,argv[0]); */
                   8945:   /* Split argv[1]=pathtot, parameter file name to get path, optionfile, extension and name */
                   8946:   split(pathtot,path,optionfile,optionfilext,optionfilefiname);
                   8947:   printf("\npathtot=%s,\npath=%s,\noptionfile=%s \noptionfilext=%s \noptionfilefiname=%s\n",pathtot,path,optionfile,optionfilext,optionfilefiname);
1.184     brouard  8948: #ifdef WIN32
                   8949:   _chdir(path); /* Can be a relative path */
                   8950:   if(_getcwd(pathcd,MAXLINE) > 0) /* So pathcd is the full path */
                   8951: #else
1.126     brouard  8952:   chdir(path); /* Can be a relative path */
1.184     brouard  8953:   if (getcwd(pathcd, MAXLINE) > 0) /* So pathcd is the full path */
                   8954: #endif
                   8955:   printf("Current directory %s!\n",pathcd);
1.126     brouard  8956:   strcpy(command,"mkdir ");
                   8957:   strcat(command,optionfilefiname);
                   8958:   if((outcmd=system(command)) != 0){
1.169     brouard  8959:     printf("Directory already exists (or can't create it) %s%s, err=%d\n",path,optionfilefiname,outcmd);
1.126     brouard  8960:     /* fprintf(ficlog,"Problem creating directory %s%s\n",path,optionfilefiname); */
                   8961:     /* fclose(ficlog); */
                   8962: /*     exit(1); */
                   8963:   }
                   8964: /*   if((imk=mkdir(optionfilefiname))<0){ */
                   8965: /*     perror("mkdir"); */
                   8966: /*   } */
                   8967: 
                   8968:   /*-------- arguments in the command line --------*/
                   8969: 
1.186     brouard  8970:   /* Main Log file */
1.126     brouard  8971:   strcat(filelog, optionfilefiname);
                   8972:   strcat(filelog,".log");    /* */
                   8973:   if((ficlog=fopen(filelog,"w"))==NULL)    {
                   8974:     printf("Problem with logfile %s\n",filelog);
                   8975:     goto end;
                   8976:   }
                   8977:   fprintf(ficlog,"Log filename:%s\n",filelog);
1.197     brouard  8978:   fprintf(ficlog,"Version %s %s",version,fullversion);
1.126     brouard  8979:   fprintf(ficlog,"\nEnter the parameter file name: \n");
                   8980:   fprintf(ficlog,"pathimach=%s\npathtot=%s\n\
                   8981:  path=%s \n\
                   8982:  optionfile=%s\n\
                   8983:  optionfilext=%s\n\
1.156     brouard  8984:  optionfilefiname='%s'\n",pathimach,pathtot,path,optionfile,optionfilext,optionfilefiname);
1.126     brouard  8985: 
1.197     brouard  8986:   syscompilerinfo(1);
1.167     brouard  8987: 
1.126     brouard  8988:   printf("Local time (at start):%s",strstart);
                   8989:   fprintf(ficlog,"Local time (at start): %s",strstart);
                   8990:   fflush(ficlog);
                   8991: /*   (void) gettimeofday(&curr_time,&tzp); */
1.157     brouard  8992: /*   printf("Elapsed time %d\n", asc_diff_time(curr_time.tm_sec-start_time.tm_sec,tmpout)); */
1.126     brouard  8993: 
                   8994:   /* */
                   8995:   strcpy(fileres,"r");
                   8996:   strcat(fileres, optionfilefiname);
1.201     brouard  8997:   strcat(fileresu, optionfilefiname); /* Without r in front */
1.126     brouard  8998:   strcat(fileres,".txt");    /* Other files have txt extension */
1.201     brouard  8999:   strcat(fileresu,".txt");    /* Other files have txt extension */
1.126     brouard  9000: 
1.186     brouard  9001:   /* Main ---------arguments file --------*/
1.126     brouard  9002: 
                   9003:   if((ficpar=fopen(optionfile,"r"))==NULL)    {
1.155     brouard  9004:     printf("Problem with optionfile '%s' with errno='%s'\n",optionfile,strerror(errno));
                   9005:     fprintf(ficlog,"Problem with optionfile '%s' with errno='%s'\n",optionfile,strerror(errno));
1.126     brouard  9006:     fflush(ficlog);
1.149     brouard  9007:     /* goto end; */
                   9008:     exit(70); 
1.126     brouard  9009:   }
                   9010: 
                   9011: 
                   9012: 
                   9013:   strcpy(filereso,"o");
1.201     brouard  9014:   strcat(filereso,fileresu);
1.126     brouard  9015:   if((ficparo=fopen(filereso,"w"))==NULL) { /* opened on subdirectory */
                   9016:     printf("Problem with Output resultfile: %s\n", filereso);
                   9017:     fprintf(ficlog,"Problem with Output resultfile: %s\n", filereso);
                   9018:     fflush(ficlog);
                   9019:     goto end;
                   9020:   }
                   9021: 
                   9022:   /* Reads comments: lines beginning with '#' */
                   9023:   numlinepar=0;
1.197     brouard  9024: 
                   9025:     /* First parameter line */
                   9026:   while(fgets(line, MAXLINE, ficpar)) {
                   9027:     /* If line starts with a # it is a comment */
                   9028:     if (line[0] == '#') {
                   9029:       numlinepar++;
                   9030:       fputs(line,stdout);
                   9031:       fputs(line,ficparo);
                   9032:       fputs(line,ficlog);
                   9033:       continue;
                   9034:     }else
                   9035:       break;
                   9036:   }
                   9037:   if((num_filled=sscanf(line,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", \
                   9038:                        title, datafile, &lastobs, &firstpass,&lastpass)) !=EOF){
                   9039:     if (num_filled != 5) {
                   9040:       printf("Should be 5 parameters\n");
                   9041:     }
1.126     brouard  9042:     numlinepar++;
1.197     brouard  9043:     printf("title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", title, datafile, lastobs, firstpass,lastpass);
                   9044:   }
                   9045:   /* Second parameter line */
                   9046:   while(fgets(line, MAXLINE, ficpar)) {
                   9047:     /* If line starts with a # it is a comment */
                   9048:     if (line[0] == '#') {
                   9049:       numlinepar++;
                   9050:       fputs(line,stdout);
                   9051:       fputs(line,ficparo);
                   9052:       fputs(line,ficlog);
                   9053:       continue;
                   9054:     }else
                   9055:       break;
                   9056:   }
1.223     brouard  9057:   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", \
                   9058:                        &ftol, &stepm, &ncovcol, &nqv, &ntv, &nqtv, &nlstate, &ndeath, &maxwav, &mle, &weightopt)) !=EOF){
                   9059:     if (num_filled != 11) {
                   9060:       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  9061:       printf("but line=%s\n",line);
1.197     brouard  9062:     }
1.223     brouard  9063:     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  9064:   }
1.203     brouard  9065:   /* ftolpl=6*ftol*1.e5; /\* 6.e-3 make convergences in less than 80 loops for the prevalence limit *\/ */
1.209     brouard  9066:   /*ftolpl=6.e-4; *//* 6.e-3 make convergences in less than 80 loops for the prevalence limit */
1.197     brouard  9067:   /* Third parameter line */
                   9068:   while(fgets(line, MAXLINE, ficpar)) {
                   9069:     /* If line starts with a # it is a comment */
                   9070:     if (line[0] == '#') {
                   9071:       numlinepar++;
                   9072:       fputs(line,stdout);
                   9073:       fputs(line,ficparo);
                   9074:       fputs(line,ficlog);
                   9075:       continue;
                   9076:     }else
                   9077:       break;
                   9078:   }
1.201     brouard  9079:   if((num_filled=sscanf(line,"model=1+age%[^.\n]", model)) !=EOF){
                   9080:     if (num_filled == 0)
                   9081:             model[0]='\0';
                   9082:     else if (num_filled != 1){
1.197     brouard  9083:       printf("ERROR %d: Model should be at minimum 'model=1+age.' %s\n",num_filled, line);
                   9084:       fprintf(ficlog,"ERROR %d: Model should be at minimum 'model=1+age.' %s\n",num_filled, line);
                   9085:       model[0]='\0';
                   9086:       goto end;
                   9087:     }
                   9088:     else{
                   9089:       if (model[0]=='+'){
                   9090:        for(i=1; i<=strlen(model);i++)
                   9091:          modeltemp[i-1]=model[i];
1.201     brouard  9092:        strcpy(model,modeltemp); 
1.197     brouard  9093:       }
                   9094:     }
1.199     brouard  9095:     /* printf(" model=1+age%s modeltemp= %s, model=%s\n",model, modeltemp, model);fflush(stdout); */
1.203     brouard  9096:     printf("model=1+age+%s\n",model);fflush(stdout);
1.197     brouard  9097:   }
                   9098:   /* 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); */
                   9099:   /* numlinepar=numlinepar+3; /\* In general *\/ */
                   9100:   /* 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  9101:   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);
                   9102:   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  9103:   fflush(ficlog);
1.190     brouard  9104:   /* if(model[0]=='#'|| model[0]== '\0'){ */
                   9105:   if(model[0]=='#'){
1.187     brouard  9106:     printf("Error in 'model' line: model should start with 'model=1+age+' and end with '.' \n \
                   9107:  'model=1+age+.' or 'model=1+age+V1.' or 'model=1+age+age*age+V1+V1*age.' or \n \
                   9108:  'model=1+age+V1+V2.' or 'model=1+age+V1+V2+V1*V2.' etc. \n");         \
                   9109:     if(mle != -1){
                   9110:       printf("Fix the model line and run imach with mle=-1 to get a correct template of the parameter file.\n");
                   9111:       exit(1);
                   9112:     }
                   9113:   }
1.126     brouard  9114:   while((c=getc(ficpar))=='#' && c!= EOF){
                   9115:     ungetc(c,ficpar);
                   9116:     fgets(line, MAXLINE, ficpar);
                   9117:     numlinepar++;
1.195     brouard  9118:     if(line[1]=='q'){ /* This #q will quit imach (the answer is q) */
                   9119:       z[0]=line[1];
                   9120:     }
                   9121:     /* printf("****line [1] = %c \n",line[1]); */
1.141     brouard  9122:     fputs(line, stdout);
                   9123:     //puts(line);
1.126     brouard  9124:     fputs(line,ficparo);
                   9125:     fputs(line,ficlog);
                   9126:   }
                   9127:   ungetc(c,ficpar);
                   9128: 
                   9129:    
1.145     brouard  9130:   covar=matrix(0,NCOVMAX,1,n);  /**< used in readdata */
1.225     brouard  9131:   coqvar=matrix(1,nqv,1,n);  /**< Fixed quantitative covariate */
                   9132:   cotvar=ma3x(1,maxwav,1,ntv,1,n);  /**< Time varying covariate */
                   9133:   cotqvar=ma3x(1,maxwav,1,nqtv,1,n);  /**< Time varying quantitative covariate */
1.136     brouard  9134:   cptcovn=0; /*Number of covariates, i.e. number of '+' in model statement plus one, indepently of n in Vn*/
                   9135:   /* v1+v2+v3+v2*v4+v5*age makes cptcovn = 5
                   9136:      v1+v2*age+v2*v3 makes cptcovn = 3
                   9137:   */
                   9138:   if (strlen(model)>1) 
1.187     brouard  9139:     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  9140:   else
1.187     brouard  9141:     ncovmodel=2; /* Constant and age */
1.133     brouard  9142:   nforce= (nlstate+ndeath-1)*nlstate; /* Number of forces ij from state i to j */
                   9143:   npar= nforce*ncovmodel; /* Number of parameters like aij*/
1.131     brouard  9144:   if(npar >MAXPARM || nlstate >NLSTATEMAX || ndeath >NDEATHMAX || ncovmodel>NCOVMAX){
                   9145:     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);
                   9146:     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);
                   9147:     fflush(stdout);
                   9148:     fclose (ficlog);
                   9149:     goto end;
                   9150:   }
1.126     brouard  9151:   delti3= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
                   9152:   delti=delti3[1][1];
                   9153:   /*delti=vector(1,npar); *//* Scale of each paramater (output from hesscov)*/
                   9154:   if(mle==-1){ /* Print a wizard for help writing covariance matrix */
                   9155:     prwizard(ncovmodel, nlstate, ndeath, model, ficparo);
1.191     brouard  9156:     printf(" You chose mle=-1, look at file %s for a template of covariance matrix \n",filereso);
                   9157:     fprintf(ficlog," You chose mle=-1, look at file %s for a template of covariance matrix \n",filereso);
1.126     brouard  9158:     free_ma3x(delti3,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel); 
                   9159:     fclose (ficparo);
                   9160:     fclose (ficlog);
                   9161:     goto end;
                   9162:     exit(0);
1.220     brouard  9163:   }  else if(mle==-5) { /* Main Wizard */
1.126     brouard  9164:     prwizard(ncovmodel, nlstate, ndeath, model, ficparo);
1.192     brouard  9165:     printf(" You chose mle=-3, look at file %s for a template of covariance matrix \n",filereso);
                   9166:     fprintf(ficlog," You chose mle=-3, look at file %s for a template of covariance matrix \n",filereso);
1.126     brouard  9167:     param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
                   9168:     matcov=matrix(1,npar,1,npar);
1.203     brouard  9169:     hess=matrix(1,npar,1,npar);
1.220     brouard  9170:   }  else{ /* Begin of mle != -1 or -5 */
1.145     brouard  9171:     /* Read guessed parameters */
1.126     brouard  9172:     /* Reads comments: lines beginning with '#' */
                   9173:     while((c=getc(ficpar))=='#' && c!= EOF){
                   9174:       ungetc(c,ficpar);
                   9175:       fgets(line, MAXLINE, ficpar);
                   9176:       numlinepar++;
1.141     brouard  9177:       fputs(line,stdout);
1.126     brouard  9178:       fputs(line,ficparo);
                   9179:       fputs(line,ficlog);
                   9180:     }
                   9181:     ungetc(c,ficpar);
                   9182:     
                   9183:     param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
                   9184:     for(i=1; i <=nlstate; i++){
1.220     brouard  9185:                        j=0;
1.126     brouard  9186:       for(jj=1; jj <=nlstate+ndeath; jj++){
1.220     brouard  9187:                                if(jj==i) continue;
                   9188:                                j++;
                   9189:                                fscanf(ficpar,"%1d%1d",&i1,&j1);
                   9190:                                if ((i1 != i) || (j1 != jj)){
                   9191:                                        printf("Error in line parameters number %d, %1d%1d instead of %1d%1d \n \
1.126     brouard  9192: It might be a problem of design; if ncovcol and the model are correct\n \
                   9193: run imach with mle=-1 to get a correct template of the parameter file.\n",numlinepar, i,j, i1, j1);
1.220     brouard  9194:                                        exit(1);
                   9195:                                }
                   9196:                                fprintf(ficparo,"%1d%1d",i1,j1);
                   9197:                                if(mle==1)
                   9198:                                        printf("%1d%1d",i,jj);
                   9199:                                fprintf(ficlog,"%1d%1d",i,jj);
                   9200:                                for(k=1; k<=ncovmodel;k++){
                   9201:                                        fscanf(ficpar," %lf",&param[i][j][k]);
                   9202:                                        if(mle==1){
                   9203:                                                printf(" %lf",param[i][j][k]);
                   9204:                                                fprintf(ficlog," %lf",param[i][j][k]);
                   9205:                                        }
                   9206:                                        else
                   9207:                                                fprintf(ficlog," %lf",param[i][j][k]);
                   9208:                                        fprintf(ficparo," %lf",param[i][j][k]);
                   9209:                                }
                   9210:                                fscanf(ficpar,"\n");
                   9211:                                numlinepar++;
                   9212:                                if(mle==1)
                   9213:                                        printf("\n");
                   9214:                                fprintf(ficlog,"\n");
                   9215:                                fprintf(ficparo,"\n");
1.126     brouard  9216:       }
                   9217:     }  
                   9218:     fflush(ficlog);
                   9219: 
1.145     brouard  9220:     /* Reads scales values */
1.126     brouard  9221:     p=param[1][1];
                   9222:     
                   9223:     /* Reads comments: lines beginning with '#' */
                   9224:     while((c=getc(ficpar))=='#' && c!= EOF){
                   9225:       ungetc(c,ficpar);
                   9226:       fgets(line, MAXLINE, ficpar);
                   9227:       numlinepar++;
1.141     brouard  9228:       fputs(line,stdout);
1.126     brouard  9229:       fputs(line,ficparo);
                   9230:       fputs(line,ficlog);
                   9231:     }
                   9232:     ungetc(c,ficpar);
                   9233: 
                   9234:     for(i=1; i <=nlstate; i++){
                   9235:       for(j=1; j <=nlstate+ndeath-1; j++){
1.220     brouard  9236:                                fscanf(ficpar,"%1d%1d",&i1,&j1);
                   9237:                                if ( (i1-i) * (j1-j) != 0){
                   9238:                                        printf("Error in line parameters number %d, %1d%1d instead of %1d%1d \n",numlinepar, i,j, i1, j1);
                   9239:                                        exit(1);
                   9240:                                }
                   9241:                                printf("%1d%1d",i,j);
                   9242:                                fprintf(ficparo,"%1d%1d",i1,j1);
                   9243:                                fprintf(ficlog,"%1d%1d",i1,j1);
                   9244:                                for(k=1; k<=ncovmodel;k++){
                   9245:                                        fscanf(ficpar,"%le",&delti3[i][j][k]);
                   9246:                                        printf(" %le",delti3[i][j][k]);
                   9247:                                        fprintf(ficparo," %le",delti3[i][j][k]);
                   9248:                                        fprintf(ficlog," %le",delti3[i][j][k]);
                   9249:                                }
                   9250:                                fscanf(ficpar,"\n");
                   9251:                                numlinepar++;
                   9252:                                printf("\n");
                   9253:                                fprintf(ficparo,"\n");
                   9254:                                fprintf(ficlog,"\n");
1.126     brouard  9255:       }
                   9256:     }
                   9257:     fflush(ficlog);
1.220     brouard  9258:                
1.145     brouard  9259:     /* Reads covariance matrix */
1.126     brouard  9260:     delti=delti3[1][1];
1.220     brouard  9261:                
                   9262:                
1.126     brouard  9263:     /* 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  9264:                
1.126     brouard  9265:     /* Reads comments: lines beginning with '#' */
                   9266:     while((c=getc(ficpar))=='#' && c!= EOF){
                   9267:       ungetc(c,ficpar);
                   9268:       fgets(line, MAXLINE, ficpar);
                   9269:       numlinepar++;
1.141     brouard  9270:       fputs(line,stdout);
1.126     brouard  9271:       fputs(line,ficparo);
                   9272:       fputs(line,ficlog);
                   9273:     }
                   9274:     ungetc(c,ficpar);
1.220     brouard  9275:                
1.126     brouard  9276:     matcov=matrix(1,npar,1,npar);
1.203     brouard  9277:     hess=matrix(1,npar,1,npar);
1.131     brouard  9278:     for(i=1; i <=npar; i++)
                   9279:       for(j=1; j <=npar; j++) matcov[i][j]=0.;
1.220     brouard  9280:                
1.194     brouard  9281:     /* Scans npar lines */
1.126     brouard  9282:     for(i=1; i <=npar; i++){
1.226     brouard  9283:       count=fscanf(ficpar,"%1d%1d%d",&i1,&j1,&jk);
1.194     brouard  9284:       if(count != 3){
1.226     brouard  9285:        printf("Error! Error in parameter file %s at line %d after line starting with %1d%1d%1d\n\
1.194     brouard  9286: This is probably because your covariance matrix doesn't \n  contain exactly %d lines corresponding to your model line '1+age+%s'.\n\
                   9287: Please run with mle=-1 to get a correct covariance matrix.\n",optionfile,numlinepar, i1,j1,jk, npar, model);
1.226     brouard  9288:        fprintf(ficlog,"Error! Error in parameter file %s at line %d after line starting with %1d%1d%1d\n\
1.194     brouard  9289: This is probably because your covariance matrix doesn't \n  contain exactly %d lines corresponding to your model line '1+age+%s'.\n\
                   9290: Please run with mle=-1 to get a correct covariance matrix.\n",optionfile,numlinepar, i1,j1,jk, npar, model);
1.226     brouard  9291:        exit(1);
1.220     brouard  9292:       }else{
1.226     brouard  9293:        if(mle==1)
                   9294:          printf("%1d%1d%d",i1,j1,jk);
                   9295:       }
                   9296:       fprintf(ficlog,"%1d%1d%d",i1,j1,jk);
                   9297:       fprintf(ficparo,"%1d%1d%d",i1,j1,jk);
1.126     brouard  9298:       for(j=1; j <=i; j++){
1.226     brouard  9299:        fscanf(ficpar," %le",&matcov[i][j]);
                   9300:        if(mle==1){
                   9301:          printf(" %.5le",matcov[i][j]);
                   9302:        }
                   9303:        fprintf(ficlog," %.5le",matcov[i][j]);
                   9304:        fprintf(ficparo," %.5le",matcov[i][j]);
1.126     brouard  9305:       }
                   9306:       fscanf(ficpar,"\n");
                   9307:       numlinepar++;
                   9308:       if(mle==1)
1.220     brouard  9309:                                printf("\n");
1.126     brouard  9310:       fprintf(ficlog,"\n");
                   9311:       fprintf(ficparo,"\n");
                   9312:     }
1.194     brouard  9313:     /* End of read covariance matrix npar lines */
1.126     brouard  9314:     for(i=1; i <=npar; i++)
                   9315:       for(j=i+1;j<=npar;j++)
1.226     brouard  9316:        matcov[i][j]=matcov[j][i];
1.126     brouard  9317:     
                   9318:     if(mle==1)
                   9319:       printf("\n");
                   9320:     fprintf(ficlog,"\n");
                   9321:     
                   9322:     fflush(ficlog);
                   9323:     
                   9324:     /*-------- Rewriting parameter file ----------*/
                   9325:     strcpy(rfileres,"r");    /* "Rparameterfile */
                   9326:     strcat(rfileres,optionfilefiname);    /* Parameter file first name*/
                   9327:     strcat(rfileres,".");    /* */
                   9328:     strcat(rfileres,optionfilext);    /* Other files have txt extension */
                   9329:     if((ficres =fopen(rfileres,"w"))==NULL) {
1.201     brouard  9330:       printf("Problem writing new parameter file: %s\n", rfileres);goto end;
                   9331:       fprintf(ficlog,"Problem writing new parameter file: %s\n", rfileres);goto end;
1.126     brouard  9332:     }
                   9333:     fprintf(ficres,"#%s\n",version);
                   9334:   }    /* End of mle != -3 */
1.218     brouard  9335:   
1.186     brouard  9336:   /*  Main data
                   9337:    */
1.126     brouard  9338:   n= lastobs;
                   9339:   num=lvector(1,n);
                   9340:   moisnais=vector(1,n);
                   9341:   annais=vector(1,n);
                   9342:   moisdc=vector(1,n);
                   9343:   andc=vector(1,n);
1.220     brouard  9344:   weight=vector(1,n);
1.126     brouard  9345:   agedc=vector(1,n);
                   9346:   cod=ivector(1,n);
1.220     brouard  9347:   for(i=1;i<=n;i++){
                   9348:                num[i]=0;
                   9349:                moisnais[i]=0;
                   9350:                annais[i]=0;
                   9351:                moisdc[i]=0;
                   9352:                andc[i]=0;
                   9353:                agedc[i]=0;
                   9354:                cod[i]=0;
                   9355:                weight[i]=1.0; /* Equal weights, 1 by default */
                   9356:        }
1.126     brouard  9357:   mint=matrix(1,maxwav,1,n);
                   9358:   anint=matrix(1,maxwav,1,n);
1.131     brouard  9359:   s=imatrix(1,maxwav+1,1,n); /* s[i][j] health state for wave i and individual j */ 
1.126     brouard  9360:   tab=ivector(1,NCOVMAX);
1.144     brouard  9361:   ncodemax=ivector(1,NCOVMAX); /* Number of code per covariate; if O and 1 only, 2**ncov; V1+V2+V3+V4=>16 */
1.192     brouard  9362:   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  9363: 
1.136     brouard  9364:   /* Reads data from file datafile */
                   9365:   if (readdata(datafile, firstobs, lastobs, &imx)==1)
                   9366:     goto end;
                   9367: 
                   9368:   /* Calculation of the number of parameters from char model */
1.137     brouard  9369:     /*    modelsav=V2+V1+V4+age*V3 strb=age*V3 stra=V2+V1+V4 
                   9370:        k=4 (age*V3) Tvar[k=4]= 3 (from V3) Tag[cptcovage=1]=4
                   9371:        k=3 V4 Tvar[k=3]= 4 (from V4)
                   9372:        k=2 V1 Tvar[k=2]= 1 (from V1)
                   9373:        k=1 Tvar[1]=2 (from V2)
                   9374:     */
                   9375:   Tvar=ivector(1,NCOVMAX); /* Was 15 changed to NCOVMAX. */
1.226     brouard  9376:   Typevar=ivector(-1,NCOVMAX); /* -1 to 2 */
                   9377:   Fixed=ivector(-1,NCOVMAX); /* -1 to 3 */
                   9378:   Dummy=ivector(-1,NCOVMAX); /* -1 to 3 */
1.137     brouard  9379:   /*  V2+V1+V4+age*V3 is a model with 4 covariates (3 plus signs). 
                   9380:       For each model-covariate stores the data-covariate id. Tvar[1]=2, Tvar[2]=1, Tvar[3]=4, 
                   9381:       Tvar[4=age*V3] is 3 and 'age' is recorded in Tage.
                   9382:   */
                   9383:   /* For model-covariate k tells which data-covariate to use but
                   9384:     because this model-covariate is a construction we invent a new column
                   9385:     ncovcol + k1
                   9386:     If already ncovcol=4 and model=V2+V1+V1*V4+age*V3
                   9387:     Tvar[3=V1*V4]=4+1 etc */
1.227     brouard  9388:   Tprod=ivector(1,NCOVMAX); /* Gives the k position of the k1 product */
                   9389:   Tposprod=ivector(1,NCOVMAX); /* Gives the k1 product from the k position */
1.137     brouard  9390:   /* Tprod[k1=1]=3(=V1*V4) for V2+V1+V1*V4+age*V3
                   9391:      if  V2+V1+V1*V4+age*V3+V3*V2   TProd[k1=2]=5 (V3*V2)
1.227     brouard  9392:      Tposprod[k]=k1 , Tposprod[3]=1, Tposprod[5]=2 
1.137     brouard  9393:   */
1.145     brouard  9394:   Tvaraff=ivector(1,NCOVMAX); /* Unclear */
                   9395:   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  9396:                            * For V3*V2 (in V2+V1+V1*V4+age*V3+V3*V2), V3*V2 position is 2nd. 
                   9397:                            * Tvard[k1=2][1]=3 (V3) Tvard[k1=2][2]=2(V2) */
1.145     brouard  9398:   Tage=ivector(1,NCOVMAX); /* Gives the covariate id of covariates associated with age: V2 + V1 + age*V4 + V3*age
1.137     brouard  9399:                         4 covariates (3 plus signs)
                   9400:                         Tage[1=V3*age]= 4; Tage[2=age*V4] = 3
                   9401:                      */  
1.227     brouard  9402:   Tmodelind=ivector(1,NCOVMAX);/** five the k model position of an
                   9403:                                * individual dummy, fixed or varying:
                   9404:                                * Tmodelind[Tvaraff[3]]=9,Tvaraff[1]@9={4,
                   9405:                                * 3, 1, 0, 0, 0, 0, 0, 0},
                   9406:                                * model=V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1*/
1.228   ! brouard  9407:  TmodelInvind=ivector(1,NCOVMAX);
        !          9408:   TmodelInvQind=ivector(1,NCOVMAX);/** five the k model position of an
        !          9409:                                * individual quantitative, fixed or varying:
        !          9410:                                * Tmodelqind[1]=1,Tvaraff[1]@9={4,
        !          9411:                                * 3, 1, 0, 0, 0, 0, 0, 0},
        !          9412:                                * model=V5+V4+V3+V4*V3+V5*age+V2+V1*V2+V1*age+V1*/
1.186     brouard  9413: /* Main decodemodel */
                   9414: 
1.187     brouard  9415: 
1.223     brouard  9416:   if(decodemodel(model, lastobs) == 1) /* In order to get Tvar[k] V4+V3+V5 p Tvar[1]@3  = {4, 3, 5}*/
1.136     brouard  9417:     goto end;
                   9418: 
1.137     brouard  9419:   if((double)(lastobs-imx)/(double)imx > 1.10){
                   9420:     nbwarn++;
                   9421:     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); 
                   9422:     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); 
                   9423:   }
1.136     brouard  9424:     /*  if(mle==1){*/
1.137     brouard  9425:   if (weightopt != 1) { /* Maximisation without weights. We can have weights different from 1 but want no weight*/
                   9426:     for(i=1;i<=imx;i++) weight[i]=1.0; /* changed to imx */
1.136     brouard  9427:   }
                   9428: 
                   9429:     /*-calculation of age at interview from date of interview and age at death -*/
                   9430:   agev=matrix(1,maxwav,1,imx);
                   9431: 
                   9432:   if(calandcheckages(imx, maxwav, &agemin, &agemax, &nberr, &nbwarn) == 1)
                   9433:     goto end;
                   9434: 
1.126     brouard  9435: 
1.136     brouard  9436:   agegomp=(int)agemin;
                   9437:   free_vector(moisnais,1,n);
                   9438:   free_vector(annais,1,n);
1.126     brouard  9439:   /* free_matrix(mint,1,maxwav,1,n);
                   9440:      free_matrix(anint,1,maxwav,1,n);*/
1.215     brouard  9441:   /* free_vector(moisdc,1,n); */
                   9442:   /* free_vector(andc,1,n); */
1.145     brouard  9443:   /* */
                   9444:   
1.126     brouard  9445:   wav=ivector(1,imx);
1.214     brouard  9446:   /* dh=imatrix(1,lastpass-firstpass+1,1,imx); */
                   9447:   /* bh=imatrix(1,lastpass-firstpass+1,1,imx); */
                   9448:   /* mw=imatrix(1,lastpass-firstpass+1,1,imx); */
                   9449:   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.*/
                   9450:   bh=imatrix(1,lastpass-firstpass+2,1,imx);
                   9451:   mw=imatrix(1,lastpass-firstpass+2,1,imx);
1.126     brouard  9452:    
                   9453:   /* Concatenates waves */
1.214     brouard  9454:   /* Concatenates waves: wav[i] is the number of effective (useful waves) of individual i.
                   9455:      Death is a valid wave (if date is known).
                   9456:      mw[mi][i] is the number of (mi=1 to wav[i]) effective wave out of mi of individual i
                   9457:      dh[m][i] or dh[mw[mi][i]][i] is the delay between two effective waves m=mw[mi][i]
                   9458:      and mw[mi+1][i]. dh depends on stepm.
                   9459:   */
                   9460: 
1.126     brouard  9461:   concatwav(wav, dh, bh, mw, s, agedc, agev,  firstpass, lastpass, imx, nlstate, stepm);
1.145     brouard  9462:   /* */
                   9463:  
1.215     brouard  9464:   free_vector(moisdc,1,n);
                   9465:   free_vector(andc,1,n);
                   9466: 
1.126     brouard  9467:   /* Routine tricode is to calculate cptcoveff (real number of unique covariates) and to associate covariable number and modality */
                   9468:   nbcode=imatrix(0,NCOVMAX,0,NCOVMAX); 
                   9469:   ncodemax[1]=1;
1.145     brouard  9470:   Ndum =ivector(-1,NCOVMAX);  
1.225     brouard  9471:   cptcoveff=0;
1.220     brouard  9472:   if (ncovmodel-nagesqr > 2 ){ /* That is if covariate other than cst, age and age*age */
                   9473:     tricode(&cptcoveff,Tvar,nbcode,imx, Ndum); /**< Fills nbcode[Tvar[j]][l]; */
1.227     brouard  9474:   }
                   9475:   
                   9476:   ncovcombmax=pow(2,cptcoveff);
                   9477:   invalidvarcomb=ivector(1, ncovcombmax); 
                   9478:   for(i=1;i<ncovcombmax;i++)
                   9479:     invalidvarcomb[i]=0;
                   9480:   
1.211     brouard  9481:   /* Nbcode gives the value of the lth modality (currently 1 to 2) of jth covariate, in
1.186     brouard  9482:      V2+V1*age, there are 3 covariates Tvar[2]=1 (V1).*/
1.211     brouard  9483:   /* 1 to ncodemax[j] which is the maximum value of this jth covariate */
1.227     brouard  9484:   
1.200     brouard  9485:   /*  codtab=imatrix(1,100,1,10);*/ /* codtab[h,k]=( (h-1) - mod(k-1,2**(k-1) )/2**(k-1) */
1.198     brouard  9486:   /*printf(" codtab[1,1],codtab[100,10]=%d,%d\n", codtab[1][1],codtabm(100,10));*/
1.186     brouard  9487:   /* codtab gives the value 1 or 2 of the hth combination of k covariates (1 or 2).*/
1.211     brouard  9488:   /* nbcode[Tvaraff[j]][codtabm(h,j)]) : if there are only 2 modalities for a covariate j, 
                   9489:    * codtabm(h,j) gives its value classified at position h and nbcode gives how it is coded 
                   9490:    * (currently 0 or 1) in the data.
                   9491:    * In a loop on h=1 to 2**k, and a loop on j (=1 to k), we get the value of 
                   9492:    * corresponding modality (h,j).
                   9493:    */
                   9494: 
1.145     brouard  9495:   h=0;
                   9496:   /*if (cptcovn > 0) */
1.126     brouard  9497:   m=pow(2,cptcoveff);
                   9498:  
1.144     brouard  9499:          /**< codtab(h,k)  k   = codtab[h,k]=( (h-1) - mod(k-1,2**(k-1) )/2**(k-1) + 1
1.211     brouard  9500:           * For k=4 covariates, h goes from 1 to m=2**k
                   9501:           * codtabm(h,k)=  (1 & (h-1) >> (k-1)) + 1;
                   9502:            * #define codtabm(h,k)  (1 & (h-1) >> (k-1))+1
1.186     brouard  9503:           *     h\k   1     2     3     4
1.143     brouard  9504:           *______________________________  
                   9505:           *     1 i=1 1 i=1 1 i=1 1 i=1 1
                   9506:           *     2     2     1     1     1
                   9507:           *     3 i=2 1     2     1     1
                   9508:           *     4     2     2     1     1
                   9509:           *     5 i=3 1 i=2 1     2     1
                   9510:           *     6     2     1     2     1
                   9511:           *     7 i=4 1     2     2     1
                   9512:           *     8     2     2     2     1
1.197     brouard  9513:           *     9 i=5 1 i=3 1 i=2 1     2
                   9514:           *    10     2     1     1     2
                   9515:           *    11 i=6 1     2     1     2
                   9516:           *    12     2     2     1     2
                   9517:           *    13 i=7 1 i=4 1     2     2    
                   9518:           *    14     2     1     2     2
                   9519:           *    15 i=8 1     2     2     2
                   9520:           *    16     2     2     2     2
1.143     brouard  9521:           */
1.212     brouard  9522:   /* How to do the opposite? From combination h (=1 to 2**k) how to get the value on the covariates? */
1.211     brouard  9523:      /* from h=5 and m, we get then number of covariates k=log(m)/log(2)=4
                   9524:      * and the value of each covariate?
                   9525:      * V1=1, V2=1, V3=2, V4=1 ?
                   9526:      * h-1=4 and 4 is 0100 or reverse 0010, and +1 is 1121 ok.
                   9527:      * h=6, 6-1=5, 5 is 0101, 1010, 2121, V1=2nd, V2=1st, V3=2nd, V4=1st.
                   9528:      * In order to get the real value in the data, we use nbcode
                   9529:      * nbcode[Tvar[3][2nd]]=1 and nbcode[Tvar[4][1]]=0
                   9530:      * We are keeping this crazy system in order to be able (in the future?) 
                   9531:      * to have more than 2 values (0 or 1) for a covariate.
                   9532:      * #define codtabm(h,k)  (1 & (h-1) >> (k-1))+1
                   9533:      * h=6, k=2? h-1=5=0101, reverse 1010, +1=2121, k=2nd position: value is 1: codtabm(6,2)=1
                   9534:      *              bbbbbbbb
                   9535:      *              76543210     
                   9536:      *   h-1        00000101 (6-1=5)
1.219     brouard  9537:      *(h-1)>>(k-1)= 00000010 >> (2-1) = 1 right shift
1.211     brouard  9538:      *           &
                   9539:      *     1        00000001 (1)
1.219     brouard  9540:      *              00000000        = 1 & ((h-1) >> (k-1))
                   9541:      *          +1= 00000001 =1 
1.211     brouard  9542:      *
                   9543:      * h=14, k=3 => h'=h-1=13, k'=k-1=2
                   9544:      *          h'      1101 =2^3+2^2+0x2^1+2^0
                   9545:      *    >>k'            11
                   9546:      *          &   00000001
                   9547:      *            = 00000001
                   9548:      *      +1    = 00000010=2    =  codtabm(14,3)   
                   9549:      * Reverse h=6 and m=16?
                   9550:      * cptcoveff=log(16)/log(2)=4 covariate: 6-1=5=0101 reversed=1010 +1=2121 =>V1=2, V2=1, V3=2, V4=1.
                   9551:      * for (j=1 to cptcoveff) Vj=decodtabm(j,h,cptcoveff)
                   9552:      * decodtabm(h,j,cptcoveff)= (((h-1) >> (j-1)) & 1) +1 
                   9553:      * decodtabm(h,j,cptcoveff)= (h <= (1<<cptcoveff)?(((h-1) >> (j-1)) & 1) +1 : -1)
                   9554:      * V3=decodtabm(14,3,2**4)=2
                   9555:      *          h'=13   1101 =2^3+2^2+0x2^1+2^0
                   9556:      *(h-1) >> (j-1)    0011 =13 >> 2
                   9557:      *          &1 000000001
                   9558:      *           = 000000001
                   9559:      *         +1= 000000010 =2
                   9560:      *                  2211
                   9561:      *                  V1=1+1, V2=0+1, V3=1+1, V4=1+1
                   9562:      *                  V3=2
1.220     brouard  9563:                 * codtabm and decodtabm are identical
1.211     brouard  9564:      */
                   9565: 
1.145     brouard  9566: 
                   9567:  free_ivector(Ndum,-1,NCOVMAX);
                   9568: 
                   9569: 
1.126     brouard  9570:     
1.186     brouard  9571:   /* Initialisation of ----------- gnuplot -------------*/
1.126     brouard  9572:   strcpy(optionfilegnuplot,optionfilefiname);
                   9573:   if(mle==-3)
1.201     brouard  9574:     strcat(optionfilegnuplot,"-MORT_");
1.126     brouard  9575:   strcat(optionfilegnuplot,".gp");
                   9576: 
                   9577:   if((ficgp=fopen(optionfilegnuplot,"w"))==NULL) {
                   9578:     printf("Problem with file %s",optionfilegnuplot);
                   9579:   }
                   9580:   else{
1.204     brouard  9581:     fprintf(ficgp,"\n# IMaCh-%s\n", version); 
1.126     brouard  9582:     fprintf(ficgp,"# %s\n", optionfilegnuplot); 
1.141     brouard  9583:     //fprintf(ficgp,"set missing 'NaNq'\n");
                   9584:     fprintf(ficgp,"set datafile missing 'NaNq'\n");
1.126     brouard  9585:   }
                   9586:   /*  fclose(ficgp);*/
1.186     brouard  9587: 
                   9588: 
                   9589:   /* Initialisation of --------- index.htm --------*/
1.126     brouard  9590: 
                   9591:   strcpy(optionfilehtm,optionfilefiname); /* Main html file */
                   9592:   if(mle==-3)
1.201     brouard  9593:     strcat(optionfilehtm,"-MORT_");
1.126     brouard  9594:   strcat(optionfilehtm,".htm");
                   9595:   if((fichtm=fopen(optionfilehtm,"w"))==NULL)    {
1.131     brouard  9596:     printf("Problem with %s \n",optionfilehtm);
                   9597:     exit(0);
1.126     brouard  9598:   }
                   9599: 
                   9600:   strcpy(optionfilehtmcov,optionfilefiname); /* Only for matrix of covariance */
                   9601:   strcat(optionfilehtmcov,"-cov.htm");
                   9602:   if((fichtmcov=fopen(optionfilehtmcov,"w"))==NULL)    {
                   9603:     printf("Problem with %s \n",optionfilehtmcov), exit(0);
                   9604:   }
                   9605:   else{
                   9606:   fprintf(fichtmcov,"<html><head>\n<title>IMaCh Cov %s</title></head>\n <body><font size=\"2\">%s <br> %s</font> \
                   9607: <hr size=\"2\" color=\"#EC5E5E\"> \n\
1.204     brouard  9608: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s<br>\n",\
1.126     brouard  9609:          optionfilehtmcov,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);
                   9610:   }
                   9611: 
1.213     brouard  9612:   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  9613: <hr size=\"2\" color=\"#EC5E5E\"> \n\
                   9614: <font size=\"2\">IMaCh-%s <br> %s</font> \
1.126     brouard  9615: <hr size=\"2\" color=\"#EC5E5E\"> \n\
1.204     brouard  9616: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s<br>\n\
1.126     brouard  9617: \n\
                   9618: <hr  size=\"2\" color=\"#EC5E5E\">\
                   9619:  <ul><li><h4>Parameter files</h4>\n\
                   9620:  - Parameter file: <a href=\"%s.%s\">%s.%s</a><br>\n\
                   9621:  - Copy of the parameter file: <a href=\"o%s\">o%s</a><br>\n\
                   9622:  - Log file of the run: <a href=\"%s\">%s</a><br>\n\
                   9623:  - Gnuplot file name: <a href=\"%s\">%s</a><br>\n\
                   9624:  - Date and time at start: %s</ul>\n",\
                   9625:          optionfilehtm,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model,\
                   9626:          optionfilefiname,optionfilext,optionfilefiname,optionfilext,\
                   9627:          fileres,fileres,\
                   9628:          filelog,filelog,optionfilegnuplot,optionfilegnuplot,strstart);
                   9629:   fflush(fichtm);
                   9630: 
                   9631:   strcpy(pathr,path);
                   9632:   strcat(pathr,optionfilefiname);
1.184     brouard  9633: #ifdef WIN32
                   9634:   _chdir(optionfilefiname); /* Move to directory named optionfile */
                   9635: #else
1.126     brouard  9636:   chdir(optionfilefiname); /* Move to directory named optionfile */
1.184     brouard  9637: #endif
                   9638:          
1.126     brouard  9639:   
1.220     brouard  9640:   /* Calculates basic frequencies. Computes observed prevalence at single age 
                   9641:                 and for any valid combination of covariates
1.126     brouard  9642:      and prints on file fileres'p'. */
1.227     brouard  9643:   freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx, Tvaraff, invalidvarcomb, nbcode, ncodemax,mint,anint,strstart, \
                   9644:              firstpass, lastpass,  stepm,  weightopt, model);
1.126     brouard  9645: 
                   9646:   fprintf(fichtm,"\n");
                   9647:   fprintf(fichtm,"<br>Total number of observations=%d <br>\n\
                   9648: Youngest age at first (selected) pass %.2f, oldest age %.2f<br>\n\
                   9649: Interval (in months) between two waves: Min=%d Max=%d Mean=%.2lf<br>\n",\
                   9650:          imx,agemin,agemax,jmin,jmax,jmean);
                   9651:   pmmij= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
1.220     brouard  9652:        oldms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
                   9653:        newms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
                   9654:        savms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
                   9655:        oldm=oldms; newm=newms; savm=savms; /* Keeps fixed addresses to free */
1.218     brouard  9656: 
1.126     brouard  9657:   /* For Powell, parameters are in a vector p[] starting at p[1]
                   9658:      so we point p on param[1][1] so that p[1] maps on param[1][1][1] */
                   9659:   p=param[1][1]; /* *(*(*(param +1)+1)+0) */
                   9660: 
                   9661:   globpr=0; /* To get the number ipmx of contributions and the sum of weights*/
1.186     brouard  9662:   /* For mortality only */
1.126     brouard  9663:   if (mle==-3){
1.136     brouard  9664:     ximort=matrix(1,NDIM,1,NDIM); 
1.220     brouard  9665:                for(i=1;i<=NDIM;i++)
                   9666:                        for(j=1;j<=NDIM;j++)
                   9667:                                ximort[i][j]=0.;
1.186     brouard  9668:     /*     ximort=gsl_matrix_alloc(1,NDIM,1,NDIM); */
1.126     brouard  9669:     cens=ivector(1,n);
                   9670:     ageexmed=vector(1,n);
                   9671:     agecens=vector(1,n);
                   9672:     dcwave=ivector(1,n);
1.223     brouard  9673:                
1.126     brouard  9674:     for (i=1; i<=imx; i++){
                   9675:       dcwave[i]=-1;
                   9676:       for (m=firstpass; m<=lastpass; m++)
1.226     brouard  9677:        if (s[m][i]>nlstate) {
                   9678:          dcwave[i]=m;
                   9679:          /*    printf("i=%d j=%d s=%d dcwave=%d\n",i,j, s[j][i],dcwave[i]);*/
                   9680:          break;
                   9681:        }
1.126     brouard  9682:     }
1.226     brouard  9683:     
1.126     brouard  9684:     for (i=1; i<=imx; i++) {
                   9685:       if (wav[i]>0){
1.226     brouard  9686:        ageexmed[i]=agev[mw[1][i]][i];
                   9687:        j=wav[i];
                   9688:        agecens[i]=1.; 
                   9689:        
                   9690:        if (ageexmed[i]> 1 && wav[i] > 0){
                   9691:          agecens[i]=agev[mw[j][i]][i];
                   9692:          cens[i]= 1;
                   9693:        }else if (ageexmed[i]< 1) 
                   9694:          cens[i]= -1;
                   9695:        if (agedc[i]< AGESUP && agedc[i]>1 && dcwave[i]>firstpass && dcwave[i]<=lastpass)
                   9696:          cens[i]=0 ;
1.126     brouard  9697:       }
                   9698:       else cens[i]=-1;
                   9699:     }
                   9700:     
                   9701:     for (i=1;i<=NDIM;i++) {
                   9702:       for (j=1;j<=NDIM;j++)
1.226     brouard  9703:        ximort[i][j]=(i == j ? 1.0 : 0.0);
1.126     brouard  9704:     }
                   9705:     
1.145     brouard  9706:     /*p[1]=0.0268; p[NDIM]=0.083;*/
1.126     brouard  9707:     /*printf("%lf %lf", p[1], p[2]);*/
                   9708:     
                   9709:     
1.136     brouard  9710: #ifdef GSL
                   9711:     printf("GSL optimization\n");  fprintf(ficlog,"Powell\n");
1.162     brouard  9712: #else
1.126     brouard  9713:     printf("Powell\n");  fprintf(ficlog,"Powell\n");
1.136     brouard  9714: #endif
1.201     brouard  9715:     strcpy(filerespow,"POW-MORT_"); 
                   9716:     strcat(filerespow,fileresu);
1.126     brouard  9717:     if((ficrespow=fopen(filerespow,"w"))==NULL) {
                   9718:       printf("Problem with resultfile: %s\n", filerespow);
                   9719:       fprintf(ficlog,"Problem with resultfile: %s\n", filerespow);
                   9720:     }
1.136     brouard  9721: #ifdef GSL
                   9722:     fprintf(ficrespow,"# GSL optimization\n# iter -2*LL");
1.162     brouard  9723: #else
1.126     brouard  9724:     fprintf(ficrespow,"# Powell\n# iter -2*LL");
1.136     brouard  9725: #endif
1.126     brouard  9726:     /*  for (i=1;i<=nlstate;i++)
                   9727:        for(j=1;j<=nlstate+ndeath;j++)
                   9728:        if(j!=i)fprintf(ficrespow," p%1d%1d",i,j);
                   9729:     */
                   9730:     fprintf(ficrespow,"\n");
1.136     brouard  9731: #ifdef GSL
                   9732:     /* gsl starts here */ 
                   9733:     T = gsl_multimin_fminimizer_nmsimplex;
                   9734:     gsl_multimin_fminimizer *sfm = NULL;
                   9735:     gsl_vector *ss, *x;
                   9736:     gsl_multimin_function minex_func;
                   9737: 
                   9738:     /* Initial vertex size vector */
                   9739:     ss = gsl_vector_alloc (NDIM);
                   9740:     
                   9741:     if (ss == NULL){
                   9742:       GSL_ERROR_VAL ("failed to allocate space for ss", GSL_ENOMEM, 0);
                   9743:     }
                   9744:     /* Set all step sizes to 1 */
                   9745:     gsl_vector_set_all (ss, 0.001);
                   9746: 
                   9747:     /* Starting point */
1.126     brouard  9748:     
1.136     brouard  9749:     x = gsl_vector_alloc (NDIM);
                   9750:     
                   9751:     if (x == NULL){
                   9752:       gsl_vector_free(ss);
                   9753:       GSL_ERROR_VAL ("failed to allocate space for x", GSL_ENOMEM, 0);
                   9754:     }
                   9755:   
                   9756:     /* Initialize method and iterate */
                   9757:     /*     p[1]=0.0268; p[NDIM]=0.083; */
1.186     brouard  9758:     /*     gsl_vector_set(x, 0, 0.0268); */
                   9759:     /*     gsl_vector_set(x, 1, 0.083); */
1.136     brouard  9760:     gsl_vector_set(x, 0, p[1]);
                   9761:     gsl_vector_set(x, 1, p[2]);
                   9762: 
                   9763:     minex_func.f = &gompertz_f;
                   9764:     minex_func.n = NDIM;
                   9765:     minex_func.params = (void *)&p; /* ??? */
                   9766:     
                   9767:     sfm = gsl_multimin_fminimizer_alloc (T, NDIM);
                   9768:     gsl_multimin_fminimizer_set (sfm, &minex_func, x, ss);
                   9769:     
                   9770:     printf("Iterations beginning .....\n\n");
                   9771:     printf("Iter. #    Intercept       Slope     -Log Likelihood     Simplex size\n");
                   9772: 
                   9773:     iteri=0;
                   9774:     while (rval == GSL_CONTINUE){
                   9775:       iteri++;
                   9776:       status = gsl_multimin_fminimizer_iterate(sfm);
                   9777:       
                   9778:       if (status) printf("error: %s\n", gsl_strerror (status));
                   9779:       fflush(0);
                   9780:       
                   9781:       if (status) 
                   9782:         break;
                   9783:       
                   9784:       rval = gsl_multimin_test_size (gsl_multimin_fminimizer_size (sfm), 1e-6);
                   9785:       ssval = gsl_multimin_fminimizer_size (sfm);
                   9786:       
                   9787:       if (rval == GSL_SUCCESS)
                   9788:         printf ("converged to a local maximum at\n");
                   9789:       
                   9790:       printf("%5d ", iteri);
                   9791:       for (it = 0; it < NDIM; it++){
                   9792:        printf ("%10.5f ", gsl_vector_get (sfm->x, it));
                   9793:       }
                   9794:       printf("f() = %-10.5f ssize = %.7f\n", sfm->fval, ssval);
                   9795:     }
                   9796:     
                   9797:     printf("\n\n Please note: Program should be run many times with varying starting points to detemine global maximum\n\n");
                   9798:     
                   9799:     gsl_vector_free(x); /* initial values */
                   9800:     gsl_vector_free(ss); /* inital step size */
                   9801:     for (it=0; it<NDIM; it++){
                   9802:       p[it+1]=gsl_vector_get(sfm->x,it);
                   9803:       fprintf(ficrespow," %.12lf", p[it]);
                   9804:     }
                   9805:     gsl_multimin_fminimizer_free (sfm); /* p *(sfm.x.data) et p *(sfm.x.data+1)  */
                   9806: #endif
                   9807: #ifdef POWELL
                   9808:      powell(p,ximort,NDIM,ftol,&iter,&fret,gompertz);
                   9809: #endif  
1.126     brouard  9810:     fclose(ficrespow);
                   9811:     
1.203     brouard  9812:     hesscov(matcov, hess, p, NDIM, delti, 1e-4, gompertz); 
1.126     brouard  9813: 
                   9814:     for(i=1; i <=NDIM; i++)
                   9815:       for(j=i+1;j<=NDIM;j++)
1.220     brouard  9816:                                matcov[i][j]=matcov[j][i];
1.126     brouard  9817:     
                   9818:     printf("\nCovariance matrix\n ");
1.203     brouard  9819:     fprintf(ficlog,"\nCovariance matrix\n ");
1.126     brouard  9820:     for(i=1; i <=NDIM; i++) {
                   9821:       for(j=1;j<=NDIM;j++){ 
1.220     brouard  9822:                                printf("%f ",matcov[i][j]);
                   9823:                                fprintf(ficlog,"%f ",matcov[i][j]);
1.126     brouard  9824:       }
1.203     brouard  9825:       printf("\n ");  fprintf(ficlog,"\n ");
1.126     brouard  9826:     }
                   9827:     
                   9828:     printf("iter=%d MLE=%f Eq=%lf*exp(%lf*(age-%d))\n",iter,-gompertz(p),p[1],p[2],agegomp);
1.193     brouard  9829:     for (i=1;i<=NDIM;i++) {
1.126     brouard  9830:       printf("%f [%f ; %f]\n",p[i],p[i]-2*sqrt(matcov[i][i]),p[i]+2*sqrt(matcov[i][i]));
1.193     brouard  9831:       fprintf(ficlog,"%f [%f ; %f]\n",p[i],p[i]-2*sqrt(matcov[i][i]),p[i]+2*sqrt(matcov[i][i]));
                   9832:     }
1.126     brouard  9833:     lsurv=vector(1,AGESUP);
                   9834:     lpop=vector(1,AGESUP);
                   9835:     tpop=vector(1,AGESUP);
                   9836:     lsurv[agegomp]=100000;
                   9837:     
                   9838:     for (k=agegomp;k<=AGESUP;k++) {
                   9839:       agemortsup=k;
                   9840:       if (p[1]*exp(p[2]*(k-agegomp))>1) break;
                   9841:     }
                   9842:     
                   9843:     for (k=agegomp;k<agemortsup;k++)
                   9844:       lsurv[k+1]=lsurv[k]-lsurv[k]*(p[1]*exp(p[2]*(k-agegomp)));
                   9845:     
                   9846:     for (k=agegomp;k<agemortsup;k++){
                   9847:       lpop[k]=(lsurv[k]+lsurv[k+1])/2.;
                   9848:       sumlpop=sumlpop+lpop[k];
                   9849:     }
                   9850:     
                   9851:     tpop[agegomp]=sumlpop;
                   9852:     for (k=agegomp;k<(agemortsup-3);k++){
                   9853:       /*  tpop[k+1]=2;*/
                   9854:       tpop[k+1]=tpop[k]-lpop[k];
                   9855:     }
                   9856:     
                   9857:     
                   9858:     printf("\nAge   lx     qx    dx    Lx     Tx     e(x)\n");
                   9859:     for (k=agegomp;k<(agemortsup-2);k++) 
                   9860:       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]);
                   9861:     
                   9862:     
                   9863:     replace_back_to_slash(pathc,pathcd); /* Even gnuplot wants a / */
1.220     brouard  9864:                ageminpar=50;
                   9865:                agemaxpar=100;
1.194     brouard  9866:     if(ageminpar == AGEOVERFLOW ||agemaxpar == AGEOVERFLOW){
                   9867:        printf("Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
                   9868: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   9869: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
                   9870:        fprintf(ficlog,"Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
                   9871: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   9872: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
1.220     brouard  9873:     }else{
                   9874:                        printf("Warning! ageminpar %f and agemaxpar %f have been fixed because for simplification until it is fixed...\n\n",ageminpar,agemaxpar);
                   9875:                        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  9876:       printinggnuplotmort(fileresu, optionfilefiname,ageminpar,agemaxpar,fage, pathc,p);
1.220     brouard  9877:                }
1.201     brouard  9878:     printinghtmlmort(fileresu,title,datafile, firstpass, lastpass, \
1.126     brouard  9879:                     stepm, weightopt,\
                   9880:                     model,imx,p,matcov,agemortsup);
                   9881:     
                   9882:     free_vector(lsurv,1,AGESUP);
                   9883:     free_vector(lpop,1,AGESUP);
                   9884:     free_vector(tpop,1,AGESUP);
1.220     brouard  9885:     free_matrix(ximort,1,NDIM,1,NDIM);
1.136     brouard  9886:     free_ivector(cens,1,n);
                   9887:     free_vector(agecens,1,n);
                   9888:     free_ivector(dcwave,1,n);
1.220     brouard  9889: #ifdef GSL
1.136     brouard  9890: #endif
1.186     brouard  9891:   } /* Endof if mle==-3 mortality only */
1.205     brouard  9892:   /* Standard  */
                   9893:   else{ /* For mle !=- 3, could be 0 or 1 or 4 etc. */
                   9894:     globpr=0;/* Computes sum of likelihood for globpr=1 and funcone */
                   9895:     /* Computes likelihood for initial parameters, uses funcone to compute gpimx and gsw */
1.132     brouard  9896:     likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
1.126     brouard  9897:     printf("First Likeli=%12.6f ipmx=%ld sw=%12.6f",fretone,ipmx,sw);
                   9898:     for (k=1; k<=npar;k++)
                   9899:       printf(" %d %8.5f",k,p[k]);
                   9900:     printf("\n");
1.205     brouard  9901:     if(mle>=1){ /* Could be 1 or 2, Real Maximization */
                   9902:       /* mlikeli uses func not funcone */
                   9903:       mlikeli(ficres,p, npar, ncovmodel, nlstate, ftol, func);
                   9904:     }
                   9905:     if(mle==0) {/* No optimization, will print the likelihoods for the datafile */
                   9906:       globpr=0;/* Computes sum of likelihood for globpr=1 and funcone */
                   9907:       /* Computes likelihood for initial parameters, uses funcone to compute gpimx and gsw */
                   9908:       likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
                   9909:     }
                   9910:     globpr=1; /* again, to print the individual contributions using computed gpimx and gsw */
1.126     brouard  9911:     likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
                   9912:     printf("Second Likeli=%12.6f ipmx=%ld sw=%12.6f",fretone,ipmx,sw);
                   9913:     for (k=1; k<=npar;k++)
                   9914:       printf(" %d %8.5f",k,p[k]);
                   9915:     printf("\n");
                   9916:     
                   9917:     /*--------- results files --------------*/
1.224     brouard  9918:     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  9919:     
                   9920:     
                   9921:     fprintf(ficres,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   9922:     printf("# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   9923:     fprintf(ficlog,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   9924:     for(i=1,jk=1; i <=nlstate; i++){
                   9925:       for(k=1; k <=(nlstate+ndeath); k++){
1.225     brouard  9926:        if (k != i) {
                   9927:          printf("%d%d ",i,k);
                   9928:          fprintf(ficlog,"%d%d ",i,k);
                   9929:          fprintf(ficres,"%1d%1d ",i,k);
                   9930:          for(j=1; j <=ncovmodel; j++){
                   9931:            printf("%12.7f ",p[jk]);
                   9932:            fprintf(ficlog,"%12.7f ",p[jk]);
                   9933:            fprintf(ficres,"%12.7f ",p[jk]);
                   9934:            jk++; 
                   9935:          }
                   9936:          printf("\n");
                   9937:          fprintf(ficlog,"\n");
                   9938:          fprintf(ficres,"\n");
                   9939:        }
1.126     brouard  9940:       }
                   9941:     }
1.203     brouard  9942:     if(mle != 0){
                   9943:       /* Computing hessian and covariance matrix only at a peak of the Likelihood, that is after optimization */
1.126     brouard  9944:       ftolhess=ftol; /* Usually correct */
1.203     brouard  9945:       hesscov(matcov, hess, p, npar, delti, ftolhess, func);
                   9946:       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");
                   9947:       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");
                   9948:       for(i=1,jk=1; i <=nlstate; i++){
1.225     brouard  9949:        for(k=1; k <=(nlstate+ndeath); k++){
                   9950:          if (k != i) {
                   9951:            printf("%d%d ",i,k);
                   9952:            fprintf(ficlog,"%d%d ",i,k);
                   9953:            for(j=1; j <=ncovmodel; j++){
                   9954:              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]));
                   9955:              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]));
                   9956:              jk++; 
                   9957:            }
                   9958:            printf("\n");
                   9959:            fprintf(ficlog,"\n");
                   9960:          }
                   9961:        }
1.193     brouard  9962:       }
1.203     brouard  9963:     } /* end of hesscov and Wald tests */
1.225     brouard  9964:     
1.203     brouard  9965:     /*  */
1.126     brouard  9966:     fprintf(ficres,"# Scales (for hessian or gradient estimation)\n");
                   9967:     printf("# Scales (for hessian or gradient estimation)\n");
                   9968:     fprintf(ficlog,"# Scales (for hessian or gradient estimation)\n");
                   9969:     for(i=1,jk=1; i <=nlstate; i++){
                   9970:       for(j=1; j <=nlstate+ndeath; j++){
1.225     brouard  9971:        if (j!=i) {
                   9972:          fprintf(ficres,"%1d%1d",i,j);
                   9973:          printf("%1d%1d",i,j);
                   9974:          fprintf(ficlog,"%1d%1d",i,j);
                   9975:          for(k=1; k<=ncovmodel;k++){
                   9976:            printf(" %.5e",delti[jk]);
                   9977:            fprintf(ficlog," %.5e",delti[jk]);
                   9978:            fprintf(ficres," %.5e",delti[jk]);
                   9979:            jk++;
                   9980:          }
                   9981:          printf("\n");
                   9982:          fprintf(ficlog,"\n");
                   9983:          fprintf(ficres,"\n");
                   9984:        }
1.126     brouard  9985:       }
                   9986:     }
                   9987:     
                   9988:     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  9989:     if(mle >= 1) /* To big for the screen */
1.126     brouard  9990:       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");
                   9991:     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");
                   9992:     /* # 121 Var(a12)\n\ */
                   9993:     /* # 122 Cov(b12,a12) Var(b12)\n\ */
                   9994:     /* # 131 Cov(a13,a12) Cov(a13,b12, Var(a13)\n\ */
                   9995:     /* # 132 Cov(b13,a12) Cov(b13,b12, Cov(b13,a13) Var(b13)\n\ */
                   9996:     /* # 212 Cov(a21,a12) Cov(a21,b12, Cov(a21,a13) Cov(a21,b13) Var(a21)\n\ */
                   9997:     /* # 212 Cov(b21,a12) Cov(b21,b12, Cov(b21,a13) Cov(b21,b13) Cov(b21,a21) Var(b21)\n\ */
                   9998:     /* # 232 Cov(a23,a12) Cov(a23,b12, Cov(a23,a13) Cov(a23,b13) Cov(a23,a21) Cov(a23,b21) Var(a23)\n\ */
                   9999:     /* # 232 Cov(b23,a12) Cov(b23,b12) ... Var (b23)\n" */
                   10000:     
                   10001:     
                   10002:     /* Just to have a covariance matrix which will be more understandable
                   10003:        even is we still don't want to manage dictionary of variables
                   10004:     */
                   10005:     for(itimes=1;itimes<=2;itimes++){
                   10006:       jj=0;
                   10007:       for(i=1; i <=nlstate; i++){
1.225     brouard  10008:        for(j=1; j <=nlstate+ndeath; j++){
                   10009:          if(j==i) continue;
                   10010:          for(k=1; k<=ncovmodel;k++){
                   10011:            jj++;
                   10012:            ca[0]= k+'a'-1;ca[1]='\0';
                   10013:            if(itimes==1){
                   10014:              if(mle>=1)
                   10015:                printf("#%1d%1d%d",i,j,k);
                   10016:              fprintf(ficlog,"#%1d%1d%d",i,j,k);
                   10017:              fprintf(ficres,"#%1d%1d%d",i,j,k);
                   10018:            }else{
                   10019:              if(mle>=1)
                   10020:                printf("%1d%1d%d",i,j,k);
                   10021:              fprintf(ficlog,"%1d%1d%d",i,j,k);
                   10022:              fprintf(ficres,"%1d%1d%d",i,j,k);
                   10023:            }
                   10024:            ll=0;
                   10025:            for(li=1;li <=nlstate; li++){
                   10026:              for(lj=1;lj <=nlstate+ndeath; lj++){
                   10027:                if(lj==li) continue;
                   10028:                for(lk=1;lk<=ncovmodel;lk++){
                   10029:                  ll++;
                   10030:                  if(ll<=jj){
                   10031:                    cb[0]= lk +'a'-1;cb[1]='\0';
                   10032:                    if(ll<jj){
                   10033:                      if(itimes==1){
                   10034:                        if(mle>=1)
                   10035:                          printf(" Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   10036:                        fprintf(ficlog," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   10037:                        fprintf(ficres," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   10038:                      }else{
                   10039:                        if(mle>=1)
                   10040:                          printf(" %.5e",matcov[jj][ll]); 
                   10041:                        fprintf(ficlog," %.5e",matcov[jj][ll]); 
                   10042:                        fprintf(ficres," %.5e",matcov[jj][ll]); 
                   10043:                      }
                   10044:                    }else{
                   10045:                      if(itimes==1){
                   10046:                        if(mle>=1)
                   10047:                          printf(" Var(%s%1d%1d)",ca,i,j);
                   10048:                        fprintf(ficlog," Var(%s%1d%1d)",ca,i,j);
                   10049:                        fprintf(ficres," Var(%s%1d%1d)",ca,i,j);
                   10050:                      }else{
                   10051:                        if(mle>=1)
                   10052:                          printf(" %.7e",matcov[jj][ll]); 
                   10053:                        fprintf(ficlog," %.7e",matcov[jj][ll]); 
                   10054:                        fprintf(ficres," %.7e",matcov[jj][ll]); 
                   10055:                      }
                   10056:                    }
                   10057:                  }
                   10058:                } /* end lk */
                   10059:              } /* end lj */
                   10060:            } /* end li */
                   10061:            if(mle>=1)
                   10062:              printf("\n");
                   10063:            fprintf(ficlog,"\n");
                   10064:            fprintf(ficres,"\n");
                   10065:            numlinepar++;
                   10066:          } /* end k*/
                   10067:        } /*end j */
1.126     brouard  10068:       } /* end i */
                   10069:     } /* end itimes */
                   10070:     
                   10071:     fflush(ficlog);
                   10072:     fflush(ficres);
1.225     brouard  10073:     while(fgets(line, MAXLINE, ficpar)) {
                   10074:       /* If line starts with a # it is a comment */
                   10075:       if (line[0] == '#') {
                   10076:        numlinepar++;
                   10077:        fputs(line,stdout);
                   10078:        fputs(line,ficparo);
                   10079:        fputs(line,ficlog);
                   10080:        continue;
                   10081:       }else
                   10082:        break;
                   10083:     }
                   10084:     
1.209     brouard  10085:     /* while((c=getc(ficpar))=='#' && c!= EOF){ */
                   10086:     /*   ungetc(c,ficpar); */
                   10087:     /*   fgets(line, MAXLINE, ficpar); */
                   10088:     /*   fputs(line,stdout); */
                   10089:     /*   fputs(line,ficparo); */
                   10090:     /* } */
                   10091:     /* ungetc(c,ficpar); */
1.126     brouard  10092:     
                   10093:     estepm=0;
1.209     brouard  10094:     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  10095:       
                   10096:       if (num_filled != 6) {
                   10097:        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);
                   10098:        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);
                   10099:        goto end;
                   10100:       }
                   10101:       printf("agemin=%lf agemax=%lf bage=%lf fage=%lf estepm=%d ftolpl=%lf\n",ageminpar,agemaxpar, bage, fage, estepm, ftolpl);
                   10102:     }
                   10103:     /* ftolpl=6*ftol*1.e5; /\* 6.e-3 make convergences in less than 80 loops for the prevalence limit *\/ */
                   10104:     /*ftolpl=6.e-4;*/ /* 6.e-3 make convergences in less than 80 loops for the prevalence limit */
                   10105:     
1.209     brouard  10106:     /* fscanf(ficpar,"agemin=%lf agemax=%lf bage=%lf fage=%lf estepm=%d ftolpl=%\n",&ageminpar,&agemaxpar, &bage, &fage, &estepm); */
1.126     brouard  10107:     if (estepm==0 || estepm < stepm) estepm=stepm;
                   10108:     if (fage <= 2) {
                   10109:       bage = ageminpar;
                   10110:       fage = agemaxpar;
                   10111:     }
                   10112:     
                   10113:     fprintf(ficres,"# agemin agemax for life expectancy, bage fage (if mle==0 ie no data nor Max likelihood).\n");
1.211     brouard  10114:     fprintf(ficres,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d ftolpl=%e\n",ageminpar,agemaxpar,bage,fage, estepm, ftolpl);
                   10115:     fprintf(ficparo,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d, ftolpl=%e\n",ageminpar,agemaxpar,bage,fage, estepm, ftolpl);
1.220     brouard  10116:                
1.186     brouard  10117:     /* Other stuffs, more or less useful */    
1.126     brouard  10118:     while((c=getc(ficpar))=='#' && c!= EOF){
                   10119:       ungetc(c,ficpar);
                   10120:       fgets(line, MAXLINE, ficpar);
1.141     brouard  10121:       fputs(line,stdout);
1.126     brouard  10122:       fputs(line,ficparo);
                   10123:     }
                   10124:     ungetc(c,ficpar);
                   10125:     
                   10126:     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);
                   10127:     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);
                   10128:     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);
                   10129:     printf("begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf mov_average=%d\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,mobilav);
                   10130:     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);
                   10131:     
                   10132:     while((c=getc(ficpar))=='#' && c!= EOF){
                   10133:       ungetc(c,ficpar);
                   10134:       fgets(line, MAXLINE, ficpar);
1.141     brouard  10135:       fputs(line,stdout);
1.126     brouard  10136:       fputs(line,ficparo);
                   10137:     }
                   10138:     ungetc(c,ficpar);
                   10139:     
                   10140:     
                   10141:     dateprev1=anprev1+(mprev1-1)/12.+(jprev1-1)/365.;
                   10142:     dateprev2=anprev2+(mprev2-1)/12.+(jprev2-1)/365.;
                   10143:     
                   10144:     fscanf(ficpar,"pop_based=%d\n",&popbased);
1.193     brouard  10145:     fprintf(ficlog,"pop_based=%d\n",popbased);
1.126     brouard  10146:     fprintf(ficparo,"pop_based=%d\n",popbased);   
                   10147:     fprintf(ficres,"pop_based=%d\n",popbased);   
                   10148:     
                   10149:     while((c=getc(ficpar))=='#' && c!= EOF){
                   10150:       ungetc(c,ficpar);
                   10151:       fgets(line, MAXLINE, ficpar);
1.141     brouard  10152:       fputs(line,stdout);
1.126     brouard  10153:       fputs(line,ficparo);
                   10154:     }
                   10155:     ungetc(c,ficpar);
                   10156:     
                   10157:     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);
                   10158:     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);
                   10159:     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);
                   10160:     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);
                   10161:     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);
                   10162:     /* day and month of proj2 are not used but only year anproj2.*/
                   10163:     
1.217     brouard  10164:     while((c=getc(ficpar))=='#' && c!= EOF){
                   10165:       ungetc(c,ficpar);
                   10166:       fgets(line, MAXLINE, ficpar);
                   10167:       fputs(line,stdout);
                   10168:       fputs(line,ficparo);
                   10169:     }
                   10170:     ungetc(c,ficpar);
                   10171:     
                   10172:     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  10173:     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);
                   10174:     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);
                   10175:     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  10176:     /* day and month of proj2 are not used but only year anproj2.*/
1.126     brouard  10177:     
                   10178:     
1.220     brouard  10179:                /* freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint); */
1.145     brouard  10180:     /* ,dateprev1,dateprev2,jprev1, mprev1,anprev1,jprev2, mprev2,anprev2); */
1.126     brouard  10181:     
                   10182:     replace_back_to_slash(pathc,pathcd); /* Even gnuplot wants a / */
1.194     brouard  10183:     if(ageminpar == AGEOVERFLOW ||agemaxpar == -AGEOVERFLOW){
1.220     brouard  10184:                        printf("Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
1.194     brouard  10185: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   10186: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
1.220     brouard  10187:                        fprintf(ficlog,"Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
1.194     brouard  10188: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   10189: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
1.220     brouard  10190:     }else{
1.218     brouard  10191:       printinggnuplot(fileresu, optionfilefiname,ageminpar,agemaxpar,fage, prevfcast, backcast, pathc,p);
1.220     brouard  10192:     }
                   10193:     printinghtml(fileresu,title,datafile, firstpass, lastpass, stepm, weightopt, \
1.225     brouard  10194:                 model,imx,jmin,jmax,jmean,rfileres,popforecast,prevfcast,backcast, estepm, \
                   10195:                 jprev1,mprev1,anprev1,dateprev1,jprev2,mprev2,anprev2,dateprev2);
1.220     brouard  10196:                
1.225     brouard  10197:     /*------------ free_vector  -------------*/
                   10198:     /*  chdir(path); */
1.220     brouard  10199:                
1.215     brouard  10200:     /* free_ivector(wav,1,imx); */  /* Moved after last prevalence call */
                   10201:     /* free_imatrix(dh,1,lastpass-firstpass+2,1,imx); */
                   10202:     /* free_imatrix(bh,1,lastpass-firstpass+2,1,imx); */
                   10203:     /* free_imatrix(mw,1,lastpass-firstpass+2,1,imx);    */
1.126     brouard  10204:     free_lvector(num,1,n);
                   10205:     free_vector(agedc,1,n);
                   10206:     /*free_matrix(covar,0,NCOVMAX,1,n);*/
                   10207:     /*free_matrix(covar,1,NCOVMAX,1,n);*/
                   10208:     fclose(ficparo);
                   10209:     fclose(ficres);
1.220     brouard  10210:                
                   10211:                
1.186     brouard  10212:     /* Other results (useful)*/
1.220     brouard  10213:                
                   10214:                
1.126     brouard  10215:     /*--------------- Prevalence limit  (period or stable prevalence) --------------*/
1.180     brouard  10216:     /*#include "prevlim.h"*/  /* Use ficrespl, ficlog */
                   10217:     prlim=matrix(1,nlstate,1,nlstate);
1.209     brouard  10218:     prevalence_limit(p, prlim,  ageminpar, agemaxpar, ftolpl, &ncvyear);
1.126     brouard  10219:     fclose(ficrespl);
                   10220: 
                   10221:     /*------------- h Pij x at various ages ------------*/
1.180     brouard  10222:     /*#include "hpijx.h"*/
                   10223:     hPijx(p, bage, fage);
1.145     brouard  10224:     fclose(ficrespij);
1.227     brouard  10225:     
1.220     brouard  10226:     /* ncovcombmax=  pow(2,cptcoveff); */
1.219     brouard  10227:     /*-------------- Variance of one-step probabilities---*/
1.145     brouard  10228:     k=1;
1.126     brouard  10229:     varprob(optionfilefiname, matcov, p, delti, nlstate, bage, fage,k,Tvar,nbcode, ncodemax,strstart);
1.227     brouard  10230:     
1.219     brouard  10231:     /* Prevalence for each covariates in probs[age][status][cov] */
1.218     brouard  10232:     probs= ma3x(1,AGESUP,1,nlstate+ndeath, 1,ncovcombmax);
1.126     brouard  10233:     for(i=1;i<=AGESUP;i++)
1.219     brouard  10234:       for(j=1;j<=nlstate+ndeath;j++) /* ndeath is useless but a necessity to be compared with mobaverages */
1.225     brouard  10235:        for(k=1;k<=ncovcombmax;k++)
                   10236:          probs[i][j][k]=0.;
1.219     brouard  10237:     prevalence(probs, ageminpar, agemaxpar, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass);
                   10238:     if (mobilav!=0 ||mobilavproj !=0 ) {
                   10239:       mobaverages= ma3x(1, AGESUP,1,nlstate+ndeath, 1,ncovcombmax);
1.227     brouard  10240:       for(i=1;i<=AGESUP;i++)
                   10241:        for(j=1;j<=nlstate;j++)
                   10242:          for(k=1;k<=ncovcombmax;k++)
                   10243:            mobaverages[i][j][k]=0.;
1.219     brouard  10244:       mobaverage=mobaverages;
                   10245:       if (mobilav!=0) {
1.227     brouard  10246:        if (movingaverage(probs, ageminpar, agemaxpar, mobaverage, mobilav)!=0){
                   10247:          fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
                   10248:          printf(" Error in movingaverage mobilav=%d\n",mobilav);
                   10249:        }
1.219     brouard  10250:       }
                   10251:       /* /\* Prevalence for each covariates in probs[age][status][cov] *\/ */
                   10252:       /* prevalence(probs, ageminpar, agemaxpar, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass); */
                   10253:       else if (mobilavproj !=0) {
1.227     brouard  10254:        if (movingaverage(probs, ageminpar, agemaxpar, mobaverage, mobilavproj)!=0){
                   10255:          fprintf(ficlog," Error in movingaverage mobilavproj=%d\n",mobilavproj);
                   10256:          printf(" Error in movingaverage mobilavproj=%d\n",mobilavproj);
                   10257:        }
1.219     brouard  10258:       }
                   10259:     }/* end if moving average */
1.227     brouard  10260:     
1.126     brouard  10261:     /*---------- Forecasting ------------------*/
                   10262:     /*if((stepm == 1) && (strcmp(model,".")==0)){*/
                   10263:     if(prevfcast==1){
                   10264:       /*    if(stepm ==1){*/
1.225     brouard  10265:       prevforecast(fileresu, anproj1, mproj1, jproj1, agemin, agemax, dateprev1, dateprev2, mobilavproj, bage, fage, firstpass, lastpass, anproj2, p, cptcoveff);
1.126     brouard  10266:     }
1.217     brouard  10267:     if(backcast==1){
1.219     brouard  10268:       ddnewms=matrix(1,nlstate+ndeath,1,nlstate+ndeath);       
                   10269:       ddoldms=matrix(1,nlstate+ndeath,1,nlstate+ndeath);       
                   10270:       ddsavms=matrix(1,nlstate+ndeath,1,nlstate+ndeath);
                   10271: 
                   10272:       /*--------------- Back Prevalence limit  (period or stable prevalence) --------------*/
                   10273: 
                   10274:       bprlim=matrix(1,nlstate,1,nlstate);
                   10275:       back_prevalence_limit(p, bprlim,  ageminpar, agemaxpar, ftolpl, &ncvyear, dateprev1, dateprev2, firstpass, lastpass, mobilavproj);
                   10276:       fclose(ficresplb);
                   10277: 
1.222     brouard  10278:       hBijx(p, bage, fage, mobaverage);
                   10279:       fclose(ficrespijb);
1.219     brouard  10280:       free_matrix(bprlim,1,nlstate,1,nlstate); /*here or after loop ? */
                   10281: 
                   10282:       /* prevbackforecast(fileresu, anback1, mback1, jback1, agemin, agemax, dateprev1, dateprev2, mobilavproj,
1.225     brouard  10283:         bage, fage, firstpass, lastpass, anback2, p, cptcoveff); */
1.219     brouard  10284:       free_matrix(ddnewms, 1, nlstate+ndeath, 1, nlstate+ndeath);
                   10285:       free_matrix(ddsavms, 1, nlstate+ndeath, 1, nlstate+ndeath);
                   10286:       free_matrix(ddoldms, 1, nlstate+ndeath, 1, nlstate+ndeath);
                   10287:     }
1.217     brouard  10288:     
1.186     brouard  10289:  
                   10290:     /* ------ Other prevalence ratios------------ */
1.126     brouard  10291: 
1.215     brouard  10292:     free_ivector(wav,1,imx);
                   10293:     free_imatrix(dh,1,lastpass-firstpass+2,1,imx);
                   10294:     free_imatrix(bh,1,lastpass-firstpass+2,1,imx);
                   10295:     free_imatrix(mw,1,lastpass-firstpass+2,1,imx);   
1.218     brouard  10296:                
                   10297:                
1.127     brouard  10298:     /*---------- Health expectancies, no variances ------------*/
1.218     brouard  10299:                
1.201     brouard  10300:     strcpy(filerese,"E_");
                   10301:     strcat(filerese,fileresu);
1.126     brouard  10302:     if((ficreseij=fopen(filerese,"w"))==NULL) {
                   10303:       printf("Problem with Health Exp. resultfile: %s\n", filerese); exit(0);
                   10304:       fprintf(ficlog,"Problem with Health Exp. resultfile: %s\n", filerese); exit(0);
                   10305:     }
1.208     brouard  10306:     printf("Computing Health Expectancies: result on file '%s' ...", filerese);fflush(stdout);
                   10307:     fprintf(ficlog,"Computing Health Expectancies: result on file '%s' ...", filerese);fflush(ficlog);
1.219     brouard  10308:                
1.227     brouard  10309:     for (k=1; k <= (int) pow(2,cptcoveff); k++){ /* For any combination of dummy covariates, fixed and varying */
1.219     brouard  10310:       fprintf(ficreseij,"\n#****** ");
1.225     brouard  10311:       for(j=1;j<=cptcoveff;j++) {
1.227     brouard  10312:        fprintf(ficreseij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.219     brouard  10313:       }
                   10314:       fprintf(ficreseij,"******\n");
                   10315:       
                   10316:       eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
                   10317:       oldm=oldms;savm=savms;
                   10318:       evsij(eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k, estepm, strstart);  
1.127     brouard  10319:       
1.219     brouard  10320:       free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);
1.127     brouard  10321:     }
                   10322:     fclose(ficreseij);
1.208     brouard  10323:     printf("done evsij\n");fflush(stdout);
                   10324:     fprintf(ficlog,"done evsij\n");fflush(ficlog);
1.218     brouard  10325:                
1.227     brouard  10326:     /*---------- State-specific expectancies and variances ------------*/
1.218     brouard  10327:                
                   10328:                
1.201     brouard  10329:     strcpy(filerest,"T_");
                   10330:     strcat(filerest,fileresu);
1.127     brouard  10331:     if((ficrest=fopen(filerest,"w"))==NULL) {
                   10332:       printf("Problem with total LE resultfile: %s\n", filerest);goto end;
                   10333:       fprintf(ficlog,"Problem with total LE resultfile: %s\n", filerest);goto end;
                   10334:     }
1.208     brouard  10335:     printf("Computing Total Life expectancies with their standard errors: file '%s' ...\n", filerest); fflush(stdout);
                   10336:     fprintf(ficlog,"Computing Total Life expectancies with their standard errors: file '%s' ...\n", filerest); fflush(ficlog);
1.218     brouard  10337:                
1.126     brouard  10338: 
1.201     brouard  10339:     strcpy(fileresstde,"STDE_");
                   10340:     strcat(fileresstde,fileresu);
1.126     brouard  10341:     if((ficresstdeij=fopen(fileresstde,"w"))==NULL) {
1.227     brouard  10342:       printf("Problem with State specific Exp. and std errors resultfile: %s\n", fileresstde); exit(0);
                   10343:       fprintf(ficlog,"Problem with State specific Exp. and std errors resultfile: %s\n", fileresstde); exit(0);
1.126     brouard  10344:     }
1.227     brouard  10345:     printf("  Computing State-specific Expectancies and standard errors: result on file '%s' \n", fileresstde);
                   10346:     fprintf(ficlog,"  Computing State-specific Expectancies and standard errors: result on file '%s' \n", fileresstde);
1.126     brouard  10347: 
1.201     brouard  10348:     strcpy(filerescve,"CVE_");
                   10349:     strcat(filerescve,fileresu);
1.126     brouard  10350:     if((ficrescveij=fopen(filerescve,"w"))==NULL) {
1.227     brouard  10351:       printf("Problem with Covar. State-specific Exp. resultfile: %s\n", filerescve); exit(0);
                   10352:       fprintf(ficlog,"Problem with Covar. State-specific Exp. resultfile: %s\n", filerescve); exit(0);
1.126     brouard  10353:     }
1.227     brouard  10354:     printf("    Computing Covar. of State-specific Expectancies: result on file '%s' \n", filerescve);
                   10355:     fprintf(ficlog,"    Computing Covar. of State-specific Expectancies: result on file '%s' \n", filerescve);
1.126     brouard  10356: 
1.201     brouard  10357:     strcpy(fileresv,"V_");
                   10358:     strcat(fileresv,fileresu);
1.126     brouard  10359:     if((ficresvij=fopen(fileresv,"w"))==NULL) {
                   10360:       printf("Problem with variance resultfile: %s\n", fileresv);exit(0);
                   10361:       fprintf(ficlog,"Problem with variance resultfile: %s\n", fileresv);exit(0);
                   10362:     }
1.227     brouard  10363:     printf("      Computing Variance-covariance of State-specific Expectancies: file '%s' ... ", fileresv);fflush(stdout);
                   10364:     fprintf(ficlog,"      Computing Variance-covariance of State-specific Expectancies: file '%s' ... ", fileresv);fflush(ficlog);
1.126     brouard  10365: 
1.145     brouard  10366:     /*for(cptcov=1,k=0;cptcov<=i1;cptcov++){
                   10367:       for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*/
                   10368:           
1.225     brouard  10369:     for (k=1; k <= (int) pow(2,cptcoveff); k++){
1.227     brouard  10370:       printf("\n#****** ");
1.208     brouard  10371:       fprintf(ficrest,"\n#****** ");
1.227     brouard  10372:       fprintf(ficlog,"\n#****** ");
                   10373:       for(j=1;j<=cptcoveff;j++){ 
                   10374:        printf("V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10375:        fprintf(ficrest,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10376:        fprintf(ficlog,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10377:       }
1.208     brouard  10378:       fprintf(ficrest,"******\n");
1.227     brouard  10379:       fprintf(ficlog,"******\n");
                   10380:       printf("******\n");
1.208     brouard  10381:       
                   10382:       fprintf(ficresstdeij,"\n#****** ");
                   10383:       fprintf(ficrescveij,"\n#****** ");
1.225     brouard  10384:       for(j=1;j<=cptcoveff;j++) {
1.227     brouard  10385:        fprintf(ficresstdeij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10386:        fprintf(ficrescveij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.208     brouard  10387:       }
                   10388:       fprintf(ficresstdeij,"******\n");
                   10389:       fprintf(ficrescveij,"******\n");
                   10390:       
                   10391:       fprintf(ficresvij,"\n#****** ");
1.225     brouard  10392:       for(j=1;j<=cptcoveff;j++) 
1.227     brouard  10393:        fprintf(ficresvij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.208     brouard  10394:       fprintf(ficresvij,"******\n");
                   10395:       
                   10396:       eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
                   10397:       oldm=oldms;savm=savms;
1.227     brouard  10398:       printf(" cvevsij combination#=%d, ",k);
                   10399:       fprintf(ficlog, " cvevsij combination#=%d, ",k);
1.208     brouard  10400:       cvevsij(eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k, estepm, delti, matcov, strstart);
                   10401:       printf(" end cvevsij \n ");
                   10402:       fprintf(ficlog, " end cvevsij \n ");
                   10403:       
                   10404:       /*
                   10405:        */
                   10406:       /* goto endfree; */
                   10407:       
                   10408:       vareij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
                   10409:       pstamp(ficrest);
                   10410:       
                   10411:       
                   10412:       for(vpopbased=0; vpopbased <= popbased; vpopbased++){ /* Done for vpopbased=0 and vpopbased=1 if popbased==1*/
1.227     brouard  10413:        oldm=oldms;savm=savms; /* ZZ Segmentation fault */
                   10414:        cptcod= 0; /* To be deleted */
                   10415:        printf("varevsij vpopbased=%d \n",vpopbased);
                   10416:        fprintf(ficlog, "varevsij vpopbased=%d \n",vpopbased);
                   10417:        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 */
                   10418:        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 ");
                   10419:        if(vpopbased==1)
                   10420:          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);
                   10421:        else
                   10422:          fprintf(ficrest,"the age specific period (stable) prevalences in each health state \n");
                   10423:        fprintf(ficrest,"# Age popbased mobilav e.. (std) ");
                   10424:        for (i=1;i<=nlstate;i++) fprintf(ficrest,"e.%d (std) ",i);
                   10425:        fprintf(ficrest,"\n");
                   10426:        /* printf("Which p?\n"); for(i=1;i<=npar;i++)printf("p[i=%d]=%lf,",i,p[i]);printf("\n"); */
                   10427:        epj=vector(1,nlstate+1);
                   10428:        printf("Computing age specific period (stable) prevalences in each health state \n");
                   10429:        fprintf(ficlog,"Computing age specific period (stable) prevalences in each health state \n");
                   10430:        for(age=bage; age <=fage ;age++){
                   10431:          prevalim(prlim, nlstate, p, age, oldm, savm, ftolpl, &ncvyear, k); /*ZZ Is it the correct prevalim */
                   10432:          if (vpopbased==1) {
                   10433:            if(mobilav ==0){
                   10434:              for(i=1; i<=nlstate;i++)
                   10435:                prlim[i][i]=probs[(int)age][i][k];
                   10436:            }else{ /* mobilav */ 
                   10437:              for(i=1; i<=nlstate;i++)
                   10438:                prlim[i][i]=mobaverage[(int)age][i][k];
                   10439:            }
                   10440:          }
1.219     brouard  10441:          
1.227     brouard  10442:          fprintf(ficrest," %4.0f %d %d",age, vpopbased, mobilav);
                   10443:          /* fprintf(ficrest," %4.0f %d %d %d %d",age, vpopbased, mobilav,Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]); */ /* to be done */
                   10444:          /* printf(" age %4.0f ",age); */
                   10445:          for(j=1, epj[nlstate+1]=0.;j <=nlstate;j++){
                   10446:            for(i=1, epj[j]=0.;i <=nlstate;i++) {
                   10447:              epj[j] += prlim[i][i]*eij[i][j][(int)age];
                   10448:              /*ZZZ  printf("%lf %lf ", prlim[i][i] ,eij[i][j][(int)age]);*/
                   10449:              /* printf("%lf %lf ", prlim[i][i] ,eij[i][j][(int)age]); */
                   10450:            }
                   10451:            epj[nlstate+1] +=epj[j];
                   10452:          }
                   10453:          /* printf(" age %4.0f \n",age); */
1.219     brouard  10454:          
1.227     brouard  10455:          for(i=1, vepp=0.;i <=nlstate;i++)
                   10456:            for(j=1;j <=nlstate;j++)
                   10457:              vepp += vareij[i][j][(int)age];
                   10458:          fprintf(ficrest," %7.3f (%7.3f)", epj[nlstate+1],sqrt(vepp));
                   10459:          for(j=1;j <=nlstate;j++){
                   10460:            fprintf(ficrest," %7.3f (%7.3f)", epj[j],sqrt(vareij[j][j][(int)age]));
                   10461:          }
                   10462:          fprintf(ficrest,"\n");
                   10463:        }
1.208     brouard  10464:       } /* End vpopbased */
                   10465:       free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);
                   10466:       free_ma3x(vareij,1,nlstate,1,nlstate,(int) bage, (int)fage);
                   10467:       free_vector(epj,1,nlstate+1);
                   10468:       printf("done \n");fflush(stdout);
                   10469:       fprintf(ficlog,"done\n");fflush(ficlog);
                   10470:       
1.145     brouard  10471:       /*}*/
1.208     brouard  10472:     } /* End k */
1.227     brouard  10473: 
                   10474:     printf("done State-specific expectancies\n");fflush(stdout);
                   10475:     fprintf(ficlog,"done State-specific expectancies\n");fflush(ficlog);
                   10476: 
1.126     brouard  10477:     /*------- Variance of period (stable) prevalence------*/   
1.227     brouard  10478:     
1.201     brouard  10479:     strcpy(fileresvpl,"VPL_");
                   10480:     strcat(fileresvpl,fileresu);
1.126     brouard  10481:     if((ficresvpl=fopen(fileresvpl,"w"))==NULL) {
                   10482:       printf("Problem with variance of period (stable) prevalence  resultfile: %s\n", fileresvpl);
                   10483:       exit(0);
                   10484:     }
1.208     brouard  10485:     printf("Computing Variance-covariance of period (stable) prevalence: file '%s' ...", fileresvpl);fflush(stdout);
                   10486:     fprintf(ficlog, "Computing Variance-covariance of period (stable) prevalence: file '%s' ...", fileresvpl);fflush(ficlog);
1.227     brouard  10487:     
1.145     brouard  10488:     /*for(cptcov=1,k=0;cptcov<=i1;cptcov++){
                   10489:       for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*/
1.227     brouard  10490:     
1.225     brouard  10491:     for (k=1; k <= (int) pow(2,cptcoveff); k++){
1.227     brouard  10492:       fprintf(ficresvpl,"\n#****** ");
                   10493:       printf("\n#****** ");
                   10494:       fprintf(ficlog,"\n#****** ");
                   10495:       for(j=1;j<=cptcoveff;j++) {
                   10496:        fprintf(ficresvpl,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10497:        fprintf(ficlog,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10498:        printf("V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10499:       }
                   10500:       fprintf(ficresvpl,"******\n");
                   10501:       printf("******\n");
                   10502:       fprintf(ficlog,"******\n");
                   10503:       
                   10504:       varpl=matrix(1,nlstate,(int) bage, (int) fage);
                   10505:       oldm=oldms;savm=savms;
                   10506:       varprevlim(fileres, varpl, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl, &ncvyear, k, strstart);
                   10507:       free_matrix(varpl,1,nlstate,(int) bage, (int)fage);
1.145     brouard  10508:       /*}*/
1.126     brouard  10509:     }
1.227     brouard  10510:     
1.126     brouard  10511:     fclose(ficresvpl);
1.208     brouard  10512:     printf("done variance-covariance of period prevalence\n");fflush(stdout);
                   10513:     fprintf(ficlog,"done variance-covariance of period prevalence\n");fflush(ficlog);
1.227     brouard  10514:     
                   10515:     free_vector(weight,1,n);
                   10516:     free_imatrix(Tvard,1,NCOVMAX,1,2);
                   10517:     free_imatrix(s,1,maxwav+1,1,n);
                   10518:     free_matrix(anint,1,maxwav,1,n); 
                   10519:     free_matrix(mint,1,maxwav,1,n);
                   10520:     free_ivector(cod,1,n);
                   10521:     free_ivector(tab,1,NCOVMAX);
                   10522:     fclose(ficresstdeij);
                   10523:     fclose(ficrescveij);
                   10524:     fclose(ficresvij);
                   10525:     fclose(ficrest);
                   10526:     fclose(ficpar);
                   10527:     
                   10528:     
1.126     brouard  10529:     /*---------- End : free ----------------*/
1.219     brouard  10530:     if (mobilav!=0 ||mobilavproj !=0)
                   10531:       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  10532:     free_ma3x(probs,1,AGESUP,1,nlstate+ndeath, 1,ncovcombmax);
1.220     brouard  10533:     free_matrix(prlim,1,nlstate,1,nlstate); /*here or after loop ? */
                   10534:     free_matrix(pmmij,1,nlstate+ndeath,1,nlstate+ndeath);
1.126     brouard  10535:   }  /* mle==-3 arrives here for freeing */
1.227     brouard  10536:   /* endfree:*/
                   10537:   free_matrix(oldms, 1,nlstate+ndeath,1,nlstate+ndeath);
                   10538:   free_matrix(newms, 1,nlstate+ndeath,1,nlstate+ndeath);
                   10539:   free_matrix(savms, 1,nlstate+ndeath,1,nlstate+ndeath);
                   10540:   free_ma3x(cotqvar,1,maxwav,1,nqtv,1,n);
                   10541:   free_ma3x(cotvar,1,maxwav,1,ntv,1,n);
                   10542:   free_matrix(coqvar,1,maxwav,1,n);
                   10543:   free_matrix(covar,0,NCOVMAX,1,n);
                   10544:   free_matrix(matcov,1,npar,1,npar);
                   10545:   free_matrix(hess,1,npar,1,npar);
                   10546:   /*free_vector(delti,1,npar);*/
                   10547:   free_ma3x(delti3,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel); 
                   10548:   free_matrix(agev,1,maxwav,1,imx);
                   10549:   free_ma3x(param,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel);
                   10550:   
                   10551:   free_ivector(ncodemax,1,NCOVMAX);
                   10552:   free_ivector(ncodemaxwundef,1,NCOVMAX);
                   10553:   free_ivector(Dummy,-1,NCOVMAX);
                   10554:   free_ivector(Fixed,-1,NCOVMAX);
                   10555:   free_ivector(Typevar,-1,NCOVMAX);
                   10556:   free_ivector(Tvar,1,NCOVMAX);
                   10557:   free_ivector(Tposprod,1,NCOVMAX);
                   10558:   free_ivector(Tprod,1,NCOVMAX);
                   10559:   free_ivector(Tvaraff,1,NCOVMAX);
                   10560:   free_ivector(invalidvarcomb,1,ncovcombmax);
                   10561:   free_ivector(Tage,1,NCOVMAX);
                   10562:   free_ivector(Tmodelind,1,NCOVMAX);
1.228   ! brouard  10563:   free_ivector(TmodelInvind,1,NCOVMAX);
        !          10564:   free_ivector(TmodelInvQind,1,NCOVMAX);
1.227     brouard  10565:   
                   10566:   free_imatrix(nbcode,0,NCOVMAX,0,NCOVMAX);
                   10567:   /* free_imatrix(codtab,1,100,1,10); */
1.126     brouard  10568:   fflush(fichtm);
                   10569:   fflush(ficgp);
                   10570:   
1.227     brouard  10571:   
1.126     brouard  10572:   if((nberr >0) || (nbwarn>0)){
1.216     brouard  10573:     printf("End of Imach with %d errors and/or %d warnings. Please look at the log file for details.\n",nberr,nbwarn);
                   10574:     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  10575:   }else{
                   10576:     printf("End of Imach\n");
                   10577:     fprintf(ficlog,"End of Imach\n");
                   10578:   }
                   10579:   printf("See log file on %s\n",filelog);
                   10580:   /*  gettimeofday(&end_time, (struct timezone*)0);*/  /* after time */
1.157     brouard  10581:   /*(void) gettimeofday(&end_time,&tzp);*/
                   10582:   rend_time = time(NULL);  
                   10583:   end_time = *localtime(&rend_time);
                   10584:   /* tml = *localtime(&end_time.tm_sec); */
                   10585:   strcpy(strtend,asctime(&end_time));
1.126     brouard  10586:   printf("Local time at start %s\nLocal time at end   %s",strstart, strtend); 
                   10587:   fprintf(ficlog,"Local time at start %s\nLocal time at end   %s\n",strstart, strtend); 
1.157     brouard  10588:   printf("Total time used %s\n", asc_diff_time(rend_time -rstart_time,tmpout));
1.227     brouard  10589:   
1.157     brouard  10590:   printf("Total time was %.0lf Sec.\n", difftime(rend_time,rstart_time));
                   10591:   fprintf(ficlog,"Total time used %s\n", asc_diff_time(rend_time -rstart_time,tmpout));
                   10592:   fprintf(ficlog,"Total time was %.0lf Sec.\n", difftime(rend_time,rstart_time));
1.126     brouard  10593:   /*  printf("Total time was %d uSec.\n", total_usecs);*/
                   10594: /*   if(fileappend(fichtm,optionfilehtm)){ */
                   10595:   fprintf(fichtm,"<br>Local time at start %s<br>Local time at end   %s<br>\n</body></html>",strstart, strtend);
                   10596:   fclose(fichtm);
                   10597:   fprintf(fichtmcov,"<br>Local time at start %s<br>Local time at end   %s<br>\n</body></html>",strstart, strtend);
                   10598:   fclose(fichtmcov);
                   10599:   fclose(ficgp);
                   10600:   fclose(ficlog);
                   10601:   /*------ End -----------*/
1.227     brouard  10602:   
                   10603:   
                   10604:   printf("Before Current directory %s!\n",pathcd);
1.184     brouard  10605: #ifdef WIN32
1.227     brouard  10606:   if (_chdir(pathcd) != 0)
                   10607:     printf("Can't move to directory %s!\n",path);
                   10608:   if(_getcwd(pathcd,MAXLINE) > 0)
1.184     brouard  10609: #else
1.227     brouard  10610:     if(chdir(pathcd) != 0)
                   10611:       printf("Can't move to directory %s!\n", path);
                   10612:   if (getcwd(pathcd, MAXLINE) > 0)
1.184     brouard  10613: #endif 
1.126     brouard  10614:     printf("Current directory %s!\n",pathcd);
                   10615:   /*strcat(plotcmd,CHARSEPARATOR);*/
                   10616:   sprintf(plotcmd,"gnuplot");
1.157     brouard  10617: #ifdef _WIN32
1.126     brouard  10618:   sprintf(plotcmd,"\"%sgnuplot.exe\"",pathimach);
                   10619: #endif
                   10620:   if(!stat(plotcmd,&info)){
1.158     brouard  10621:     printf("Error or gnuplot program not found: '%s'\n",plotcmd);fflush(stdout);
1.126     brouard  10622:     if(!stat(getenv("GNUPLOTBIN"),&info)){
1.158     brouard  10623:       printf("Error or gnuplot program not found: '%s' Environment GNUPLOTBIN not set.\n",plotcmd);fflush(stdout);
1.126     brouard  10624:     }else
                   10625:       strcpy(pplotcmd,plotcmd);
1.157     brouard  10626: #ifdef __unix
1.126     brouard  10627:     strcpy(plotcmd,GNUPLOTPROGRAM);
                   10628:     if(!stat(plotcmd,&info)){
1.158     brouard  10629:       printf("Error gnuplot program not found: '%s'\n",plotcmd);fflush(stdout);
1.126     brouard  10630:     }else
                   10631:       strcpy(pplotcmd,plotcmd);
                   10632: #endif
                   10633:   }else
                   10634:     strcpy(pplotcmd,plotcmd);
                   10635:   
                   10636:   sprintf(plotcmd,"%s %s",pplotcmd, optionfilegnuplot);
1.158     brouard  10637:   printf("Starting graphs with: '%s'\n",plotcmd);fflush(stdout);
1.227     brouard  10638:   
1.126     brouard  10639:   if((outcmd=system(plotcmd)) != 0){
1.158     brouard  10640:     printf("gnuplot command might not be in your path: '%s', err=%d\n", plotcmd, outcmd);
1.154     brouard  10641:     printf("\n Trying if gnuplot resides on the same directory that IMaCh\n");
1.152     brouard  10642:     sprintf(plotcmd,"%sgnuplot %s", pathimach, optionfilegnuplot);
1.150     brouard  10643:     if((outcmd=system(plotcmd)) != 0)
1.153     brouard  10644:       printf("\n Still a problem with gnuplot command %s, err=%d\n", plotcmd, outcmd);
1.126     brouard  10645:   }
1.158     brouard  10646:   printf(" Successful, please wait...");
1.126     brouard  10647:   while (z[0] != 'q') {
                   10648:     /* chdir(path); */
1.154     brouard  10649:     printf("\nType e to edit results with your browser, g to graph again and q for exit: ");
1.126     brouard  10650:     scanf("%s",z);
                   10651: /*     if (z[0] == 'c') system("./imach"); */
                   10652:     if (z[0] == 'e') {
1.158     brouard  10653: #ifdef __APPLE__
1.152     brouard  10654:       sprintf(pplotcmd, "open %s", optionfilehtm);
1.157     brouard  10655: #elif __linux
                   10656:       sprintf(pplotcmd, "xdg-open %s", optionfilehtm);
1.153     brouard  10657: #else
1.152     brouard  10658:       sprintf(pplotcmd, "%s", optionfilehtm);
1.153     brouard  10659: #endif
                   10660:       printf("Starting browser with: %s",pplotcmd);fflush(stdout);
                   10661:       system(pplotcmd);
1.126     brouard  10662:     }
                   10663:     else if (z[0] == 'g') system(plotcmd);
                   10664:     else if (z[0] == 'q') exit(0);
                   10665:   }
1.227     brouard  10666: end:
1.126     brouard  10667:   while (z[0] != 'q') {
1.195     brouard  10668:     printf("\nType  q for exiting: "); fflush(stdout);
1.126     brouard  10669:     scanf("%s",z);
                   10670:   }
                   10671: }

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