Annotation of imach/src/imach.c, revision 1.225

1.225   ! brouard     1: /* $Id: imach.c,v 1.224 2016/07/01 13:16:01 brouard Exp $
1.126     brouard     2:   $State: Exp $
1.163     brouard     3:   $Log: imach.c,v $
1.225   ! brouard     4:   Revision 1.224  2016/07/01 13:16:01  brouard
        !             5:   Summary: Fixes
        !             6: 
1.224     brouard     7:   Revision 1.223  2016/02/19 09:23:35  brouard
                      8:   Summary: temporary
                      9: 
1.223     brouard    10:   Revision 1.222  2016/02/17 08:14:50  brouard
                     11:   Summary: Probably last 0.98 stable version 0.98r6
                     12: 
1.222     brouard    13:   Revision 1.221  2016/02/15 23:35:36  brouard
                     14:   Summary: minor bug
                     15: 
1.220     brouard    16:   Revision 1.219  2016/02/15 00:48:12  brouard
                     17:   *** empty log message ***
                     18: 
1.219     brouard    19:   Revision 1.218  2016/02/12 11:29:23  brouard
                     20:   Summary: 0.99 Back projections
                     21: 
1.218     brouard    22:   Revision 1.217  2015/12/23 17:18:31  brouard
                     23:   Summary: Experimental backcast
                     24: 
1.217     brouard    25:   Revision 1.216  2015/12/18 17:32:11  brouard
                     26:   Summary: 0.98r4 Warning and status=-2
                     27: 
                     28:   Version 0.98r4 is now:
                     29:    - displaying an error when status is -1, date of interview unknown and date of death known;
                     30:    - permitting a status -2 when the vital status is unknown at a known date of right truncation.
                     31:   Older changes concerning s=-2, dating from 2005 have been supersed.
                     32: 
1.216     brouard    33:   Revision 1.215  2015/12/16 08:52:24  brouard
                     34:   Summary: 0.98r4 working
                     35: 
1.215     brouard    36:   Revision 1.214  2015/12/16 06:57:54  brouard
                     37:   Summary: temporary not working
                     38: 
1.214     brouard    39:   Revision 1.213  2015/12/11 18:22:17  brouard
                     40:   Summary: 0.98r4
                     41: 
1.213     brouard    42:   Revision 1.212  2015/11/21 12:47:24  brouard
                     43:   Summary: minor typo
                     44: 
1.212     brouard    45:   Revision 1.211  2015/11/21 12:41:11  brouard
                     46:   Summary: 0.98r3 with some graph of projected cross-sectional
                     47: 
                     48:   Author: Nicolas Brouard
                     49: 
1.211     brouard    50:   Revision 1.210  2015/11/18 17:41:20  brouard
                     51:   Summary: Start working on projected prevalences
                     52: 
1.210     brouard    53:   Revision 1.209  2015/11/17 22:12:03  brouard
                     54:   Summary: Adding ftolpl parameter
                     55:   Author: N Brouard
                     56: 
                     57:   We had difficulties to get smoothed confidence intervals. It was due
                     58:   to the period prevalence which wasn't computed accurately. The inner
                     59:   parameter ftolpl is now an outer parameter of the .imach parameter
                     60:   file after estepm. If ftolpl is small 1.e-4 and estepm too,
                     61:   computation are long.
                     62: 
1.209     brouard    63:   Revision 1.208  2015/11/17 14:31:57  brouard
                     64:   Summary: temporary
                     65: 
1.208     brouard    66:   Revision 1.207  2015/10/27 17:36:57  brouard
                     67:   *** empty log message ***
                     68: 
1.207     brouard    69:   Revision 1.206  2015/10/24 07:14:11  brouard
                     70:   *** empty log message ***
                     71: 
1.206     brouard    72:   Revision 1.205  2015/10/23 15:50:53  brouard
                     73:   Summary: 0.98r3 some clarification for graphs on likelihood contributions
                     74: 
1.205     brouard    75:   Revision 1.204  2015/10/01 16:20:26  brouard
                     76:   Summary: Some new graphs of contribution to likelihood
                     77: 
1.204     brouard    78:   Revision 1.203  2015/09/30 17:45:14  brouard
                     79:   Summary: looking at better estimation of the hessian
                     80: 
                     81:   Also a better criteria for convergence to the period prevalence And
                     82:   therefore adding the number of years needed to converge. (The
                     83:   prevalence in any alive state shold sum to one
                     84: 
1.203     brouard    85:   Revision 1.202  2015/09/22 19:45:16  brouard
                     86:   Summary: Adding some overall graph on contribution to likelihood. Might change
                     87: 
1.202     brouard    88:   Revision 1.201  2015/09/15 17:34:58  brouard
                     89:   Summary: 0.98r0
                     90: 
                     91:   - Some new graphs like suvival functions
                     92:   - Some bugs fixed like model=1+age+V2.
                     93: 
1.201     brouard    94:   Revision 1.200  2015/09/09 16:53:55  brouard
                     95:   Summary: Big bug thanks to Flavia
                     96: 
                     97:   Even model=1+age+V2. did not work anymore
                     98: 
1.200     brouard    99:   Revision 1.199  2015/09/07 14:09:23  brouard
                    100:   Summary: 0.98q6 changing default small png format for graph to vectorized svg.
                    101: 
1.199     brouard   102:   Revision 1.198  2015/09/03 07:14:39  brouard
                    103:   Summary: 0.98q5 Flavia
                    104: 
1.198     brouard   105:   Revision 1.197  2015/09/01 18:24:39  brouard
                    106:   *** empty log message ***
                    107: 
1.197     brouard   108:   Revision 1.196  2015/08/18 23:17:52  brouard
                    109:   Summary: 0.98q5
                    110: 
1.196     brouard   111:   Revision 1.195  2015/08/18 16:28:39  brouard
                    112:   Summary: Adding a hack for testing purpose
                    113: 
                    114:   After reading the title, ftol and model lines, if the comment line has
                    115:   a q, starting with #q, the answer at the end of the run is quit. It
                    116:   permits to run test files in batch with ctest. The former workaround was
                    117:   $ echo q | imach foo.imach
                    118: 
1.195     brouard   119:   Revision 1.194  2015/08/18 13:32:00  brouard
                    120:   Summary:  Adding error when the covariance matrix doesn't contain the exact number of lines required by the model line.
                    121: 
1.194     brouard   122:   Revision 1.193  2015/08/04 07:17:42  brouard
                    123:   Summary: 0.98q4
                    124: 
1.193     brouard   125:   Revision 1.192  2015/07/16 16:49:02  brouard
                    126:   Summary: Fixing some outputs
                    127: 
1.192     brouard   128:   Revision 1.191  2015/07/14 10:00:33  brouard
                    129:   Summary: Some fixes
                    130: 
1.191     brouard   131:   Revision 1.190  2015/05/05 08:51:13  brouard
                    132:   Summary: Adding digits in output parameters (7 digits instead of 6)
                    133: 
                    134:   Fix 1+age+.
                    135: 
1.190     brouard   136:   Revision 1.189  2015/04/30 14:45:16  brouard
                    137:   Summary: 0.98q2
                    138: 
1.189     brouard   139:   Revision 1.188  2015/04/30 08:27:53  brouard
                    140:   *** empty log message ***
                    141: 
1.188     brouard   142:   Revision 1.187  2015/04/29 09:11:15  brouard
                    143:   *** empty log message ***
                    144: 
1.187     brouard   145:   Revision 1.186  2015/04/23 12:01:52  brouard
                    146:   Summary: V1*age is working now, version 0.98q1
                    147: 
                    148:   Some codes had been disabled in order to simplify and Vn*age was
                    149:   working in the optimization phase, ie, giving correct MLE parameters,
                    150:   but, as usual, outputs were not correct and program core dumped.
                    151: 
1.186     brouard   152:   Revision 1.185  2015/03/11 13:26:42  brouard
                    153:   Summary: Inclusion of compile and links command line for Intel Compiler
                    154: 
1.185     brouard   155:   Revision 1.184  2015/03/11 11:52:39  brouard
                    156:   Summary: Back from Windows 8. Intel Compiler
                    157: 
1.184     brouard   158:   Revision 1.183  2015/03/10 20:34:32  brouard
                    159:   Summary: 0.98q0, trying with directest, mnbrak fixed
                    160: 
                    161:   We use directest instead of original Powell test; probably no
                    162:   incidence on the results, but better justifications;
                    163:   We fixed Numerical Recipes mnbrak routine which was wrong and gave
                    164:   wrong results.
                    165: 
1.183     brouard   166:   Revision 1.182  2015/02/12 08:19:57  brouard
                    167:   Summary: Trying to keep directest which seems simpler and more general
                    168:   Author: Nicolas Brouard
                    169: 
1.182     brouard   170:   Revision 1.181  2015/02/11 23:22:24  brouard
                    171:   Summary: Comments on Powell added
                    172: 
                    173:   Author:
                    174: 
1.181     brouard   175:   Revision 1.180  2015/02/11 17:33:45  brouard
                    176:   Summary: Finishing move from main to function (hpijx and prevalence_limit)
                    177: 
1.180     brouard   178:   Revision 1.179  2015/01/04 09:57:06  brouard
                    179:   Summary: back to OS/X
                    180: 
1.179     brouard   181:   Revision 1.178  2015/01/04 09:35:48  brouard
                    182:   *** empty log message ***
                    183: 
1.178     brouard   184:   Revision 1.177  2015/01/03 18:40:56  brouard
                    185:   Summary: Still testing ilc32 on OSX
                    186: 
1.177     brouard   187:   Revision 1.176  2015/01/03 16:45:04  brouard
                    188:   *** empty log message ***
                    189: 
1.176     brouard   190:   Revision 1.175  2015/01/03 16:33:42  brouard
                    191:   *** empty log message ***
                    192: 
1.175     brouard   193:   Revision 1.174  2015/01/03 16:15:49  brouard
                    194:   Summary: Still in cross-compilation
                    195: 
1.174     brouard   196:   Revision 1.173  2015/01/03 12:06:26  brouard
                    197:   Summary: trying to detect cross-compilation
                    198: 
1.173     brouard   199:   Revision 1.172  2014/12/27 12:07:47  brouard
                    200:   Summary: Back from Visual Studio and Intel, options for compiling for Windows XP
                    201: 
1.172     brouard   202:   Revision 1.171  2014/12/23 13:26:59  brouard
                    203:   Summary: Back from Visual C
                    204: 
                    205:   Still problem with utsname.h on Windows
                    206: 
1.171     brouard   207:   Revision 1.170  2014/12/23 11:17:12  brouard
                    208:   Summary: Cleaning some \%% back to %%
                    209: 
                    210:   The escape was mandatory for a specific compiler (which one?), but too many warnings.
                    211: 
1.170     brouard   212:   Revision 1.169  2014/12/22 23:08:31  brouard
                    213:   Summary: 0.98p
                    214: 
                    215:   Outputs some informations on compiler used, OS etc. Testing on different platforms.
                    216: 
1.169     brouard   217:   Revision 1.168  2014/12/22 15:17:42  brouard
1.170     brouard   218:   Summary: update
1.169     brouard   219: 
1.168     brouard   220:   Revision 1.167  2014/12/22 13:50:56  brouard
                    221:   Summary: Testing uname and compiler version and if compiled 32 or 64
                    222: 
                    223:   Testing on Linux 64
                    224: 
1.167     brouard   225:   Revision 1.166  2014/12/22 11:40:47  brouard
                    226:   *** empty log message ***
                    227: 
1.166     brouard   228:   Revision 1.165  2014/12/16 11:20:36  brouard
                    229:   Summary: After compiling on Visual C
                    230: 
                    231:   * imach.c (Module): Merging 1.61 to 1.162
                    232: 
1.165     brouard   233:   Revision 1.164  2014/12/16 10:52:11  brouard
                    234:   Summary: Merging with Visual C after suppressing some warnings for unused variables. Also fixing Saito's bug 0.98Xn
                    235: 
                    236:   * imach.c (Module): Merging 1.61 to 1.162
                    237: 
1.164     brouard   238:   Revision 1.163  2014/12/16 10:30:11  brouard
                    239:   * imach.c (Module): Merging 1.61 to 1.162
                    240: 
1.163     brouard   241:   Revision 1.162  2014/09/25 11:43:39  brouard
                    242:   Summary: temporary backup 0.99!
                    243: 
1.162     brouard   244:   Revision 1.1  2014/09/16 11:06:58  brouard
                    245:   Summary: With some code (wrong) for nlopt
                    246: 
                    247:   Author:
                    248: 
                    249:   Revision 1.161  2014/09/15 20:41:41  brouard
                    250:   Summary: Problem with macro SQR on Intel compiler
                    251: 
1.161     brouard   252:   Revision 1.160  2014/09/02 09:24:05  brouard
                    253:   *** empty log message ***
                    254: 
1.160     brouard   255:   Revision 1.159  2014/09/01 10:34:10  brouard
                    256:   Summary: WIN32
                    257:   Author: Brouard
                    258: 
1.159     brouard   259:   Revision 1.158  2014/08/27 17:11:51  brouard
                    260:   *** empty log message ***
                    261: 
1.158     brouard   262:   Revision 1.157  2014/08/27 16:26:55  brouard
                    263:   Summary: Preparing windows Visual studio version
                    264:   Author: Brouard
                    265: 
                    266:   In order to compile on Visual studio, time.h is now correct and time_t
                    267:   and tm struct should be used. difftime should be used but sometimes I
                    268:   just make the differences in raw time format (time(&now).
                    269:   Trying to suppress #ifdef LINUX
                    270:   Add xdg-open for __linux in order to open default browser.
                    271: 
1.157     brouard   272:   Revision 1.156  2014/08/25 20:10:10  brouard
                    273:   *** empty log message ***
                    274: 
1.156     brouard   275:   Revision 1.155  2014/08/25 18:32:34  brouard
                    276:   Summary: New compile, minor changes
                    277:   Author: Brouard
                    278: 
1.155     brouard   279:   Revision 1.154  2014/06/20 17:32:08  brouard
                    280:   Summary: Outputs now all graphs of convergence to period prevalence
                    281: 
1.154     brouard   282:   Revision 1.153  2014/06/20 16:45:46  brouard
                    283:   Summary: If 3 live state, convergence to period prevalence on same graph
                    284:   Author: Brouard
                    285: 
1.153     brouard   286:   Revision 1.152  2014/06/18 17:54:09  brouard
                    287:   Summary: open browser, use gnuplot on same dir than imach if not found in the path
                    288: 
1.152     brouard   289:   Revision 1.151  2014/06/18 16:43:30  brouard
                    290:   *** empty log message ***
                    291: 
1.151     brouard   292:   Revision 1.150  2014/06/18 16:42:35  brouard
                    293:   Summary: If gnuplot is not in the path try on same directory than imach binary (OSX)
                    294:   Author: brouard
                    295: 
1.150     brouard   296:   Revision 1.149  2014/06/18 15:51:14  brouard
                    297:   Summary: Some fixes in parameter files errors
                    298:   Author: Nicolas Brouard
                    299: 
1.149     brouard   300:   Revision 1.148  2014/06/17 17:38:48  brouard
                    301:   Summary: Nothing new
                    302:   Author: Brouard
                    303: 
                    304:   Just a new packaging for OS/X version 0.98nS
                    305: 
1.148     brouard   306:   Revision 1.147  2014/06/16 10:33:11  brouard
                    307:   *** empty log message ***
                    308: 
1.147     brouard   309:   Revision 1.146  2014/06/16 10:20:28  brouard
                    310:   Summary: Merge
                    311:   Author: Brouard
                    312: 
                    313:   Merge, before building revised version.
                    314: 
1.146     brouard   315:   Revision 1.145  2014/06/10 21:23:15  brouard
                    316:   Summary: Debugging with valgrind
                    317:   Author: Nicolas Brouard
                    318: 
                    319:   Lot of changes in order to output the results with some covariates
                    320:   After the Edimburgh REVES conference 2014, it seems mandatory to
                    321:   improve the code.
                    322:   No more memory valgrind error but a lot has to be done in order to
                    323:   continue the work of splitting the code into subroutines.
                    324:   Also, decodemodel has been improved. Tricode is still not
                    325:   optimal. nbcode should be improved. Documentation has been added in
                    326:   the source code.
                    327: 
1.144     brouard   328:   Revision 1.143  2014/01/26 09:45:38  brouard
                    329:   Summary: Version 0.98nR (to be improved, but gives same optimization results as 0.98k. Nice, promising
                    330: 
                    331:   * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
                    332:   (Module): Version 0.98nR Running ok, but output format still only works for three covariates.
                    333: 
1.143     brouard   334:   Revision 1.142  2014/01/26 03:57:36  brouard
                    335:   Summary: gnuplot changed plot w l 1 has to be changed to plot w l lt 2
                    336: 
                    337:   * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
                    338: 
1.142     brouard   339:   Revision 1.141  2014/01/26 02:42:01  brouard
                    340:   * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
                    341: 
1.141     brouard   342:   Revision 1.140  2011/09/02 10:37:54  brouard
                    343:   Summary: times.h is ok with mingw32 now.
                    344: 
1.140     brouard   345:   Revision 1.139  2010/06/14 07:50:17  brouard
                    346:   After the theft of my laptop, I probably lost some lines of codes which were not uploaded to the CVS tree.
                    347:   I remember having already fixed agemin agemax which are pointers now but not cvs saved.
                    348: 
1.139     brouard   349:   Revision 1.138  2010/04/30 18:19:40  brouard
                    350:   *** empty log message ***
                    351: 
1.138     brouard   352:   Revision 1.137  2010/04/29 18:11:38  brouard
                    353:   (Module): Checking covariates for more complex models
                    354:   than V1+V2. A lot of change to be done. Unstable.
                    355: 
1.137     brouard   356:   Revision 1.136  2010/04/26 20:30:53  brouard
                    357:   (Module): merging some libgsl code. Fixing computation
                    358:   of likelione (using inter/intrapolation if mle = 0) in order to
                    359:   get same likelihood as if mle=1.
                    360:   Some cleaning of code and comments added.
                    361: 
1.136     brouard   362:   Revision 1.135  2009/10/29 15:33:14  brouard
                    363:   (Module): Now imach stops if date of birth, at least year of birth, is not given. Some cleaning of the code.
                    364: 
1.135     brouard   365:   Revision 1.134  2009/10/29 13:18:53  brouard
                    366:   (Module): Now imach stops if date of birth, at least year of birth, is not given. Some cleaning of the code.
                    367: 
1.134     brouard   368:   Revision 1.133  2009/07/06 10:21:25  brouard
                    369:   just nforces
                    370: 
1.133     brouard   371:   Revision 1.132  2009/07/06 08:22:05  brouard
                    372:   Many tings
                    373: 
1.132     brouard   374:   Revision 1.131  2009/06/20 16:22:47  brouard
                    375:   Some dimensions resccaled
                    376: 
1.131     brouard   377:   Revision 1.130  2009/05/26 06:44:34  brouard
                    378:   (Module): Max Covariate is now set to 20 instead of 8. A
                    379:   lot of cleaning with variables initialized to 0. Trying to make
                    380:   V2+V3*age+V1+V4 strb=V3*age+V1+V4 working better.
                    381: 
1.130     brouard   382:   Revision 1.129  2007/08/31 13:49:27  lievre
                    383:   Modification of the way of exiting when the covariate is not binary in order to see on the window the error message before exiting
                    384: 
1.129     lievre    385:   Revision 1.128  2006/06/30 13:02:05  brouard
                    386:   (Module): Clarifications on computing e.j
                    387: 
1.128     brouard   388:   Revision 1.127  2006/04/28 18:11:50  brouard
                    389:   (Module): Yes the sum of survivors was wrong since
                    390:   imach-114 because nhstepm was no more computed in the age
                    391:   loop. Now we define nhstepma in the age loop.
                    392:   (Module): In order to speed up (in case of numerous covariates) we
                    393:   compute health expectancies (without variances) in a first step
                    394:   and then all the health expectancies with variances or standard
                    395:   deviation (needs data from the Hessian matrices) which slows the
                    396:   computation.
                    397:   In the future we should be able to stop the program is only health
                    398:   expectancies and graph are needed without standard deviations.
                    399: 
1.127     brouard   400:   Revision 1.126  2006/04/28 17:23:28  brouard
                    401:   (Module): Yes the sum of survivors was wrong since
                    402:   imach-114 because nhstepm was no more computed in the age
                    403:   loop. Now we define nhstepma in the age loop.
                    404:   Version 0.98h
                    405: 
1.126     brouard   406:   Revision 1.125  2006/04/04 15:20:31  lievre
                    407:   Errors in calculation of health expectancies. Age was not initialized.
                    408:   Forecasting file added.
                    409: 
                    410:   Revision 1.124  2006/03/22 17:13:53  lievre
                    411:   Parameters are printed with %lf instead of %f (more numbers after the comma).
                    412:   The log-likelihood is printed in the log file
                    413: 
                    414:   Revision 1.123  2006/03/20 10:52:43  brouard
                    415:   * imach.c (Module): <title> changed, corresponds to .htm file
                    416:   name. <head> headers where missing.
                    417: 
                    418:   * imach.c (Module): Weights can have a decimal point as for
                    419:   English (a comma might work with a correct LC_NUMERIC environment,
                    420:   otherwise the weight is truncated).
                    421:   Modification of warning when the covariates values are not 0 or
                    422:   1.
                    423:   Version 0.98g
                    424: 
                    425:   Revision 1.122  2006/03/20 09:45:41  brouard
                    426:   (Module): Weights can have a decimal point as for
                    427:   English (a comma might work with a correct LC_NUMERIC environment,
                    428:   otherwise the weight is truncated).
                    429:   Modification of warning when the covariates values are not 0 or
                    430:   1.
                    431:   Version 0.98g
                    432: 
                    433:   Revision 1.121  2006/03/16 17:45:01  lievre
                    434:   * imach.c (Module): Comments concerning covariates added
                    435: 
                    436:   * imach.c (Module): refinements in the computation of lli if
                    437:   status=-2 in order to have more reliable computation if stepm is
                    438:   not 1 month. Version 0.98f
                    439: 
                    440:   Revision 1.120  2006/03/16 15:10:38  lievre
                    441:   (Module): refinements in the computation of lli if
                    442:   status=-2 in order to have more reliable computation if stepm is
                    443:   not 1 month. Version 0.98f
                    444: 
                    445:   Revision 1.119  2006/03/15 17:42:26  brouard
                    446:   (Module): Bug if status = -2, the loglikelihood was
                    447:   computed as likelihood omitting the logarithm. Version O.98e
                    448: 
                    449:   Revision 1.118  2006/03/14 18:20:07  brouard
                    450:   (Module): varevsij Comments added explaining the second
                    451:   table of variances if popbased=1 .
                    452:   (Module): Covariances of eij, ekl added, graphs fixed, new html link.
                    453:   (Module): Function pstamp added
                    454:   (Module): Version 0.98d
                    455: 
                    456:   Revision 1.117  2006/03/14 17:16:22  brouard
                    457:   (Module): varevsij Comments added explaining the second
                    458:   table of variances if popbased=1 .
                    459:   (Module): Covariances of eij, ekl added, graphs fixed, new html link.
                    460:   (Module): Function pstamp added
                    461:   (Module): Version 0.98d
                    462: 
                    463:   Revision 1.116  2006/03/06 10:29:27  brouard
                    464:   (Module): Variance-covariance wrong links and
                    465:   varian-covariance of ej. is needed (Saito).
                    466: 
                    467:   Revision 1.115  2006/02/27 12:17:45  brouard
                    468:   (Module): One freematrix added in mlikeli! 0.98c
                    469: 
                    470:   Revision 1.114  2006/02/26 12:57:58  brouard
                    471:   (Module): Some improvements in processing parameter
                    472:   filename with strsep.
                    473: 
                    474:   Revision 1.113  2006/02/24 14:20:24  brouard
                    475:   (Module): Memory leaks checks with valgrind and:
                    476:   datafile was not closed, some imatrix were not freed and on matrix
                    477:   allocation too.
                    478: 
                    479:   Revision 1.112  2006/01/30 09:55:26  brouard
                    480:   (Module): Back to gnuplot.exe instead of wgnuplot.exe
                    481: 
                    482:   Revision 1.111  2006/01/25 20:38:18  brouard
                    483:   (Module): Lots of cleaning and bugs added (Gompertz)
                    484:   (Module): Comments can be added in data file. Missing date values
                    485:   can be a simple dot '.'.
                    486: 
                    487:   Revision 1.110  2006/01/25 00:51:50  brouard
                    488:   (Module): Lots of cleaning and bugs added (Gompertz)
                    489: 
                    490:   Revision 1.109  2006/01/24 19:37:15  brouard
                    491:   (Module): Comments (lines starting with a #) are allowed in data.
                    492: 
                    493:   Revision 1.108  2006/01/19 18:05:42  lievre
                    494:   Gnuplot problem appeared...
                    495:   To be fixed
                    496: 
                    497:   Revision 1.107  2006/01/19 16:20:37  brouard
                    498:   Test existence of gnuplot in imach path
                    499: 
                    500:   Revision 1.106  2006/01/19 13:24:36  brouard
                    501:   Some cleaning and links added in html output
                    502: 
                    503:   Revision 1.105  2006/01/05 20:23:19  lievre
                    504:   *** empty log message ***
                    505: 
                    506:   Revision 1.104  2005/09/30 16:11:43  lievre
                    507:   (Module): sump fixed, loop imx fixed, and simplifications.
                    508:   (Module): If the status is missing at the last wave but we know
                    509:   that the person is alive, then we can code his/her status as -2
                    510:   (instead of missing=-1 in earlier versions) and his/her
                    511:   contributions to the likelihood is 1 - Prob of dying from last
                    512:   health status (= 1-p13= p11+p12 in the easiest case of somebody in
                    513:   the healthy state at last known wave). Version is 0.98
                    514: 
                    515:   Revision 1.103  2005/09/30 15:54:49  lievre
                    516:   (Module): sump fixed, loop imx fixed, and simplifications.
                    517: 
                    518:   Revision 1.102  2004/09/15 17:31:30  brouard
                    519:   Add the possibility to read data file including tab characters.
                    520: 
                    521:   Revision 1.101  2004/09/15 10:38:38  brouard
                    522:   Fix on curr_time
                    523: 
                    524:   Revision 1.100  2004/07/12 18:29:06  brouard
                    525:   Add version for Mac OS X. Just define UNIX in Makefile
                    526: 
                    527:   Revision 1.99  2004/06/05 08:57:40  brouard
                    528:   *** empty log message ***
                    529: 
                    530:   Revision 1.98  2004/05/16 15:05:56  brouard
                    531:   New version 0.97 . First attempt to estimate force of mortality
                    532:   directly from the data i.e. without the need of knowing the health
                    533:   state at each age, but using a Gompertz model: log u =a + b*age .
                    534:   This is the basic analysis of mortality and should be done before any
                    535:   other analysis, in order to test if the mortality estimated from the
                    536:   cross-longitudinal survey is different from the mortality estimated
                    537:   from other sources like vital statistic data.
                    538: 
                    539:   The same imach parameter file can be used but the option for mle should be -3.
                    540: 
1.133     brouard   541:   Agnès, who wrote this part of the code, tried to keep most of the
1.126     brouard   542:   former routines in order to include the new code within the former code.
                    543: 
                    544:   The output is very simple: only an estimate of the intercept and of
                    545:   the slope with 95% confident intervals.
                    546: 
                    547:   Current limitations:
                    548:   A) Even if you enter covariates, i.e. with the
                    549:   model= V1+V2 equation for example, the programm does only estimate a unique global model without covariates.
                    550:   B) There is no computation of Life Expectancy nor Life Table.
                    551: 
                    552:   Revision 1.97  2004/02/20 13:25:42  lievre
                    553:   Version 0.96d. Population forecasting command line is (temporarily)
                    554:   suppressed.
                    555: 
                    556:   Revision 1.96  2003/07/15 15:38:55  brouard
                    557:   * imach.c (Repository): Errors in subdirf, 2, 3 while printing tmpout is
                    558:   rewritten within the same printf. Workaround: many printfs.
                    559: 
                    560:   Revision 1.95  2003/07/08 07:54:34  brouard
                    561:   * imach.c (Repository):
                    562:   (Repository): Using imachwizard code to output a more meaningful covariance
                    563:   matrix (cov(a12,c31) instead of numbers.
                    564: 
                    565:   Revision 1.94  2003/06/27 13:00:02  brouard
                    566:   Just cleaning
                    567: 
                    568:   Revision 1.93  2003/06/25 16:33:55  brouard
                    569:   (Module): On windows (cygwin) function asctime_r doesn't
                    570:   exist so I changed back to asctime which exists.
                    571:   (Module): Version 0.96b
                    572: 
                    573:   Revision 1.92  2003/06/25 16:30:45  brouard
                    574:   (Module): On windows (cygwin) function asctime_r doesn't
                    575:   exist so I changed back to asctime which exists.
                    576: 
                    577:   Revision 1.91  2003/06/25 15:30:29  brouard
                    578:   * imach.c (Repository): Duplicated warning errors corrected.
                    579:   (Repository): Elapsed time after each iteration is now output. It
                    580:   helps to forecast when convergence will be reached. Elapsed time
                    581:   is stamped in powell.  We created a new html file for the graphs
                    582:   concerning matrix of covariance. It has extension -cov.htm.
                    583: 
                    584:   Revision 1.90  2003/06/24 12:34:15  brouard
                    585:   (Module): Some bugs corrected for windows. Also, when
                    586:   mle=-1 a template is output in file "or"mypar.txt with the design
                    587:   of the covariance matrix to be input.
                    588: 
                    589:   Revision 1.89  2003/06/24 12:30:52  brouard
                    590:   (Module): Some bugs corrected for windows. Also, when
                    591:   mle=-1 a template is output in file "or"mypar.txt with the design
                    592:   of the covariance matrix to be input.
                    593: 
                    594:   Revision 1.88  2003/06/23 17:54:56  brouard
                    595:   * 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.
                    596: 
                    597:   Revision 1.87  2003/06/18 12:26:01  brouard
                    598:   Version 0.96
                    599: 
                    600:   Revision 1.86  2003/06/17 20:04:08  brouard
                    601:   (Module): Change position of html and gnuplot routines and added
                    602:   routine fileappend.
                    603: 
                    604:   Revision 1.85  2003/06/17 13:12:43  brouard
                    605:   * imach.c (Repository): Check when date of death was earlier that
                    606:   current date of interview. It may happen when the death was just
                    607:   prior to the death. In this case, dh was negative and likelihood
                    608:   was wrong (infinity). We still send an "Error" but patch by
                    609:   assuming that the date of death was just one stepm after the
                    610:   interview.
                    611:   (Repository): Because some people have very long ID (first column)
                    612:   we changed int to long in num[] and we added a new lvector for
                    613:   memory allocation. But we also truncated to 8 characters (left
                    614:   truncation)
                    615:   (Repository): No more line truncation errors.
                    616: 
                    617:   Revision 1.84  2003/06/13 21:44:43  brouard
                    618:   * imach.c (Repository): Replace "freqsummary" at a correct
                    619:   place. It differs from routine "prevalence" which may be called
                    620:   many times. Probs is memory consuming and must be used with
                    621:   parcimony.
                    622:   Version 0.95a3 (should output exactly the same maximization than 0.8a2)
                    623: 
                    624:   Revision 1.83  2003/06/10 13:39:11  lievre
                    625:   *** empty log message ***
                    626: 
                    627:   Revision 1.82  2003/06/05 15:57:20  brouard
                    628:   Add log in  imach.c and  fullversion number is now printed.
                    629: 
                    630: */
                    631: /*
                    632:    Interpolated Markov Chain
                    633: 
                    634:   Short summary of the programme:
                    635:   
                    636:   This program computes Healthy Life Expectancies from
                    637:   cross-longitudinal data. Cross-longitudinal data consist in: -1- a
                    638:   first survey ("cross") where individuals from different ages are
                    639:   interviewed on their health status or degree of disability (in the
                    640:   case of a health survey which is our main interest) -2- at least a
                    641:   second wave of interviews ("longitudinal") which measure each change
                    642:   (if any) in individual health status.  Health expectancies are
                    643:   computed from the time spent in each health state according to a
                    644:   model. More health states you consider, more time is necessary to reach the
                    645:   Maximum Likelihood of the parameters involved in the model.  The
                    646:   simplest model is the multinomial logistic model where pij is the
                    647:   probability to be observed in state j at the second wave
                    648:   conditional to be observed in state i at the first wave. Therefore
                    649:   the model is: log(pij/pii)= aij + bij*age+ cij*sex + etc , where
                    650:   'age' is age and 'sex' is a covariate. If you want to have a more
                    651:   complex model than "constant and age", you should modify the program
                    652:   where the markup *Covariates have to be included here again* invites
                    653:   you to do it.  More covariates you add, slower the
                    654:   convergence.
                    655: 
                    656:   The advantage of this computer programme, compared to a simple
                    657:   multinomial logistic model, is clear when the delay between waves is not
                    658:   identical for each individual. Also, if a individual missed an
                    659:   intermediate interview, the information is lost, but taken into
                    660:   account using an interpolation or extrapolation.  
                    661: 
                    662:   hPijx is the probability to be observed in state i at age x+h
                    663:   conditional to the observed state i at age x. The delay 'h' can be
                    664:   split into an exact number (nh*stepm) of unobserved intermediate
                    665:   states. This elementary transition (by month, quarter,
                    666:   semester or year) is modelled as a multinomial logistic.  The hPx
                    667:   matrix is simply the matrix product of nh*stepm elementary matrices
                    668:   and the contribution of each individual to the likelihood is simply
                    669:   hPijx.
                    670: 
                    671:   Also this programme outputs the covariance matrix of the parameters but also
1.218     brouard   672:   of the life expectancies. It also computes the period (stable) prevalence.
                    673: 
                    674: Back prevalence and projections:
                    675:  - 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)
                    676:     Computes the back prevalence limit  for any combination    of covariate values k
                    677:     at any age between ageminpar and agemaxpar and returns it in **bprlim. In the loops,
                    678:    - **bprevalim(**bprlim, ***mobaverage, nlstate, *p, age, **oldm, **savm, **dnewm, **doldm, **dsavm, ftolpl, ncvyearp, k);
                    679:  - hBijx Back Probability to be in state i at age x-h being in j at x
                    680:    Computes for any combination of covariates k and any age between bage and fage 
                    681:    p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                    682:                        oldm=oldms;savm=savms;
                    683:         - hbxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);
                    684:      Computes the transition matrix starting at age 'age' over
                    685:      'nhstepm*hstepm*stepm' months (i.e. until
                    686:      age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying
                    687:      nhstepm*hstepm matrices. Returns p3mat[i][j][h] after calling 
                    688:      p3mat[i][j][h]=matprod2(newm, bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent, dnewm, doldm, dsavm,ij),\
                    689:                                                                         1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm);
                    690: 
1.133     brouard   691:   Authors: Nicolas Brouard (brouard@ined.fr) and Agnès Lièvre (lievre@ined.fr).
                    692:            Institut national d'études démographiques, Paris.
1.126     brouard   693:   This software have been partly granted by Euro-REVES, a concerted action
                    694:   from the European Union.
                    695:   It is copyrighted identically to a GNU software product, ie programme and
                    696:   software can be distributed freely for non commercial use. Latest version
                    697:   can be accessed at http://euroreves.ined.fr/imach .
                    698: 
                    699:   Help to debug: LD_PRELOAD=/usr/local/lib/libnjamd.so ./imach foo.imach
                    700:   or better on gdb : set env LD_PRELOAD=/usr/local/lib/libnjamd.so
                    701:   
                    702:   **********************************************************************/
                    703: /*
                    704:   main
                    705:   read parameterfile
                    706:   read datafile
                    707:   concatwav
                    708:   freqsummary
                    709:   if (mle >= 1)
                    710:     mlikeli
                    711:   print results files
                    712:   if mle==1 
                    713:      computes hessian
                    714:   read end of parameter file: agemin, agemax, bage, fage, estepm
                    715:       begin-prev-date,...
                    716:   open gnuplot file
                    717:   open html file
1.145     brouard   718:   period (stable) prevalence      | pl_nom    1-1 2-2 etc by covariate
                    719:    for age prevalim()             | #****** V1=0  V2=1  V3=1  V4=0 ******
                    720:                                   | 65 1 0 2 1 3 1 4 0  0.96326 0.03674
                    721:     freexexit2 possible for memory heap.
                    722: 
                    723:   h Pij x                         | pij_nom  ficrestpij
                    724:    # Cov Agex agex+h hpijx with i,j= 1-1 1-2     1-3     2-1     2-2     2-3
                    725:        1  85   85    1.00000             0.00000 0.00000 0.00000 1.00000 0.00000
                    726:        1  85   86    0.68299             0.22291 0.09410 0.71093 0.00000 0.28907
                    727: 
                    728:        1  65   99    0.00364             0.00322 0.99314 0.00350 0.00310 0.99340
                    729:        1  65  100    0.00214             0.00204 0.99581 0.00206 0.00196 0.99597
                    730:   variance of p one-step probabilities varprob  | prob_nom   ficresprob #One-step probabilities and stand. devi in ()
                    731:    Standard deviation of one-step probabilities | probcor_nom   ficresprobcor #One-step probabilities and correlation matrix
                    732:    Matrix of variance covariance of one-step probabilities |  probcov_nom ficresprobcov #One-step probabilities and covariance matrix
                    733: 
1.126     brouard   734:   forecasting if prevfcast==1 prevforecast call prevalence()
                    735:   health expectancies
                    736:   Variance-covariance of DFLE
                    737:   prevalence()
                    738:    movingaverage()
                    739:   varevsij() 
                    740:   if popbased==1 varevsij(,popbased)
                    741:   total life expectancies
                    742:   Variance of period (stable) prevalence
                    743:  end
                    744: */
                    745: 
1.187     brouard   746: /* #define DEBUG */
                    747: /* #define DEBUGBRENT */
1.203     brouard   748: /* #define DEBUGLINMIN */
                    749: /* #define DEBUGHESS */
                    750: #define DEBUGHESSIJ
1.224     brouard   751: /* #define LINMINORIGINAL  /\* Don't use loop on scale in linmin (accepting nan) *\/ */
1.165     brouard   752: #define POWELL /* Instead of NLOPT */
1.224     brouard   753: #define POWELLNOF3INFF1TEST /* Skip test */
1.186     brouard   754: /* #define POWELLORIGINAL /\* Don't use Directest to decide new direction but original Powell test *\/ */
                    755: /* #define MNBRAKORIGINAL /\* Don't use mnbrak fix *\/ */
1.126     brouard   756: 
                    757: #include <math.h>
                    758: #include <stdio.h>
                    759: #include <stdlib.h>
                    760: #include <string.h>
1.159     brouard   761: 
                    762: #ifdef _WIN32
                    763: #include <io.h>
1.172     brouard   764: #include <windows.h>
                    765: #include <tchar.h>
1.159     brouard   766: #else
1.126     brouard   767: #include <unistd.h>
1.159     brouard   768: #endif
1.126     brouard   769: 
                    770: #include <limits.h>
                    771: #include <sys/types.h>
1.171     brouard   772: 
                    773: #if defined(__GNUC__)
                    774: #include <sys/utsname.h> /* Doesn't work on Windows */
                    775: #endif
                    776: 
1.126     brouard   777: #include <sys/stat.h>
                    778: #include <errno.h>
1.159     brouard   779: /* extern int errno; */
1.126     brouard   780: 
1.157     brouard   781: /* #ifdef LINUX */
                    782: /* #include <time.h> */
                    783: /* #include "timeval.h" */
                    784: /* #else */
                    785: /* #include <sys/time.h> */
                    786: /* #endif */
                    787: 
1.126     brouard   788: #include <time.h>
                    789: 
1.136     brouard   790: #ifdef GSL
                    791: #include <gsl/gsl_errno.h>
                    792: #include <gsl/gsl_multimin.h>
                    793: #endif
                    794: 
1.167     brouard   795: 
1.162     brouard   796: #ifdef NLOPT
                    797: #include <nlopt.h>
                    798: typedef struct {
                    799:   double (* function)(double [] );
                    800: } myfunc_data ;
                    801: #endif
                    802: 
1.126     brouard   803: /* #include <libintl.h> */
                    804: /* #define _(String) gettext (String) */
                    805: 
1.141     brouard   806: #define MAXLINE 1024 /* Was 256. Overflow with 312 with 2 states and 4 covariates. Should be ok */
1.126     brouard   807: 
                    808: #define GNUPLOTPROGRAM "gnuplot"
                    809: /*#define GNUPLOTPROGRAM "..\\gp37mgw\\wgnuplot"*/
                    810: #define FILENAMELENGTH 132
                    811: 
                    812: #define        GLOCK_ERROR_NOPATH              -1      /* empty path */
                    813: #define        GLOCK_ERROR_GETCWD              -2      /* cannot get cwd */
                    814: 
1.144     brouard   815: #define MAXPARM 128 /**< Maximum number of parameters for the optimization */
                    816: #define NPARMAX 64 /**< (nlstate+ndeath-1)*nlstate*ncovmodel */
1.126     brouard   817: 
                    818: #define NINTERVMAX 8
1.144     brouard   819: #define NLSTATEMAX 8 /**< Maximum number of live states (for func) */
                    820: #define NDEATHMAX 8 /**< Maximum number of dead states (for func) */
                    821: #define NCOVMAX 20 /**< Maximum number of covariates, including generated covariates V1*V2 */
1.197     brouard   822: #define codtabm(h,k)  (1 & (h-1) >> (k-1))+1
1.211     brouard   823: /*#define decodtabm(h,k,cptcoveff)= (h <= (1<<cptcoveff)?(((h-1) >> (k-1)) & 1) +1 : -1)*/
                    824: #define decodtabm(h,k,cptcoveff) (((h-1) >> (k-1)) & 1) +1 
1.126     brouard   825: #define MAXN 20000
1.144     brouard   826: #define YEARM 12. /**< Number of months per year */
1.218     brouard   827: /* #define AGESUP 130 */
                    828: #define AGESUP 150
                    829: #define AGEMARGE 25 /* Marge for agemin and agemax for(iage=agemin-AGEMARGE; iage <= agemax+3+AGEMARGE; iage++) */
1.126     brouard   830: #define AGEBASE 40
1.194     brouard   831: #define AGEOVERFLOW 1.e20
1.164     brouard   832: #define AGEGOMP 10 /**< Minimal age for Gompertz adjustment */
1.157     brouard   833: #ifdef _WIN32
                    834: #define DIRSEPARATOR '\\'
                    835: #define CHARSEPARATOR "\\"
                    836: #define ODIRSEPARATOR '/'
                    837: #else
1.126     brouard   838: #define DIRSEPARATOR '/'
                    839: #define CHARSEPARATOR "/"
                    840: #define ODIRSEPARATOR '\\'
                    841: #endif
                    842: 
1.225   ! brouard   843: /* $Id: imach.c,v 1.224 2016/07/01 13:16:01 brouard Exp $ */
1.126     brouard   844: /* $State: Exp $ */
1.196     brouard   845: #include "version.h"
                    846: char version[]=__IMACH_VERSION__;
1.224     brouard   847: 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";
1.225   ! brouard   848: char fullversion[]="$Revision: 1.224 $ $Date: 2016/07/01 13:16:01 $"; 
1.126     brouard   849: char strstart[80];
                    850: char optionfilext[10], optionfilefiname[FILENAMELENGTH];
1.130     brouard   851: int erreur=0, nberr=0, nbwarn=0; /* Error number, number of errors number of warnings  */
1.187     brouard   852: int nagesqr=0, nforce=0; /* nagesqr=1 if model is including age*age, number of forces */
1.145     brouard   853: /* Number of covariates model=V2+V1+ V3*age+V2*V4 */
                    854: int cptcovn=0; /**< cptcovn number of covariates added in the model (excepting constant and age and age*product) */
                    855: int cptcovt=0; /**< cptcovt number of covariates added in the model (excepting constant and age) */
1.225   ! brouard   856: int cptcovs=0; /**< cptcovs number of simple covariates in the model V2+V1 =2 */
        !           857: int cptcovsnq=0; /**< cptcovsnq number of simple covariates in the model but non quantitative V2+V1 =2 */
1.145     brouard   858: int cptcovage=0; /**< Number of covariates with age: V3*age only =1 */
                    859: int cptcovprodnoage=0; /**< Number of covariate products without age */   
                    860: int cptcoveff=0; /* Total number of covariates to vary for printing results */
1.224     brouard   861: int ncoveff=0; /* Total number of effective covariates in the model */
1.225   ! brouard   862: int nqfveff=0; /**< nqfveff Number of Quantitative Fixed Variables Effective */
1.224     brouard   863: int ntveff=0; /**< ntveff number of effective time varying variables */
                    864: int nqtveff=0; /**< ntqveff number of effective time varying quantitative variables */
1.145     brouard   865: int cptcov=0; /* Working variable */
1.218     brouard   866: int ncovcombmax=NCOVMAX; /* Maximum calculated number of covariate combination = pow(2, cptcoveff) */
1.126     brouard   867: int npar=NPARMAX;
                    868: int nlstate=2; /* Number of live states */
                    869: int ndeath=1; /* Number of dead states */
1.130     brouard   870: int ncovmodel=0, ncovcol=0;     /* Total number of covariables including constant a12*1 +b12*x ncovmodel=2 */
1.223     brouard   871: int  nqv=0, ntv=0, nqtv=0;    /* Total number of quantitative variables, time variable (dummy), quantitative and time variable */ 
1.126     brouard   872: int popbased=0;
                    873: 
                    874: int *wav; /* Number of waves for this individuual 0 is possible */
1.130     brouard   875: int maxwav=0; /* Maxim number of waves */
                    876: int jmin=0, jmax=0; /* min, max spacing between 2 waves */
                    877: int ijmin=0, ijmax=0; /* Individuals having jmin and jmax */ 
                    878: int gipmx=0, gsw=0; /* Global variables on the number of contributions 
1.126     brouard   879:                   to the likelihood and the sum of weights (done by funcone)*/
1.130     brouard   880: int mle=1, weightopt=0;
1.126     brouard   881: int **mw; /* mw[mi][i] is number of the mi wave for this individual */
                    882: int **dh; /* dh[mi][i] is number of steps between mi,mi+1 for this individual */
                    883: int **bh; /* bh[mi][i] is the bias (+ or -) for this individual if the delay between
                    884:           * wave mi and wave mi+1 is not an exact multiple of stepm. */
1.162     brouard   885: int countcallfunc=0;  /* Count the number of calls to func */
1.130     brouard   886: double jmean=1; /* Mean space between 2 waves */
1.145     brouard   887: double **matprod2(); /* test */
1.126     brouard   888: double **oldm, **newm, **savm; /* Working pointers to matrices */
                    889: double **oldms, **newms, **savms; /* Fixed working pointers to matrices */
1.218     brouard   890: double  **ddnewms, **ddoldms, **ddsavms; /* for freeing later */
                    891: 
1.136     brouard   892: /*FILE *fic ; */ /* Used in readdata only */
1.217     brouard   893: FILE *ficpar, *ficparo,*ficres, *ficresp, *ficresphtm, *ficresphtmfr, *ficrespl, *ficresplb,*ficrespij, *ficrespijb, *ficrest,*ficresf, *ficresfb,*ficrespop;
1.126     brouard   894: FILE *ficlog, *ficrespow;
1.130     brouard   895: int globpr=0; /* Global variable for printing or not */
1.126     brouard   896: double fretone; /* Only one call to likelihood */
1.130     brouard   897: long ipmx=0; /* Number of contributions */
1.126     brouard   898: double sw; /* Sum of weights */
                    899: char filerespow[FILENAMELENGTH];
                    900: char fileresilk[FILENAMELENGTH]; /* File of individual contributions to the likelihood */
                    901: FILE *ficresilk;
                    902: FILE *ficgp,*ficresprob,*ficpop, *ficresprobcov, *ficresprobcor;
                    903: FILE *ficresprobmorprev;
                    904: FILE *fichtm, *fichtmcov; /* Html File */
                    905: FILE *ficreseij;
                    906: char filerese[FILENAMELENGTH];
                    907: FILE *ficresstdeij;
                    908: char fileresstde[FILENAMELENGTH];
                    909: FILE *ficrescveij;
                    910: char filerescve[FILENAMELENGTH];
                    911: FILE  *ficresvij;
                    912: char fileresv[FILENAMELENGTH];
                    913: FILE  *ficresvpl;
                    914: char fileresvpl[FILENAMELENGTH];
                    915: char title[MAXLINE];
1.217     brouard   916: char optionfile[FILENAMELENGTH], datafile[FILENAMELENGTH],  filerespl[FILENAMELENGTH],  fileresplb[FILENAMELENGTH];
1.126     brouard   917: char plotcmd[FILENAMELENGTH], pplotcmd[FILENAMELENGTH];
                    918: char tmpout[FILENAMELENGTH],  tmpout2[FILENAMELENGTH]; 
                    919: char command[FILENAMELENGTH];
                    920: int  outcmd=0;
                    921: 
1.217     brouard   922: char fileres[FILENAMELENGTH], filerespij[FILENAMELENGTH], filerespijb[FILENAMELENGTH], filereso[FILENAMELENGTH], rfileres[FILENAMELENGTH];
1.202     brouard   923: char fileresu[FILENAMELENGTH]; /* fileres without r in front */
1.126     brouard   924: char filelog[FILENAMELENGTH]; /* Log file */
                    925: char filerest[FILENAMELENGTH];
                    926: char fileregp[FILENAMELENGTH];
                    927: char popfile[FILENAMELENGTH];
                    928: 
                    929: char optionfilegnuplot[FILENAMELENGTH], optionfilehtm[FILENAMELENGTH], optionfilehtmcov[FILENAMELENGTH] ;
                    930: 
1.157     brouard   931: /* struct timeval start_time, end_time, curr_time, last_time, forecast_time; */
                    932: /* struct timezone tzp; */
                    933: /* extern int gettimeofday(); */
                    934: struct tm tml, *gmtime(), *localtime();
                    935: 
                    936: extern time_t time();
                    937: 
                    938: struct tm start_time, end_time, curr_time, last_time, forecast_time;
                    939: time_t  rstart_time, rend_time, rcurr_time, rlast_time, rforecast_time; /* raw time */
                    940: struct tm tm;
                    941: 
1.126     brouard   942: char strcurr[80], strfor[80];
                    943: 
                    944: char *endptr;
                    945: long lval;
                    946: double dval;
                    947: 
                    948: #define NR_END 1
                    949: #define FREE_ARG char*
                    950: #define FTOL 1.0e-10
                    951: 
                    952: #define NRANSI 
                    953: #define ITMAX 200 
                    954: 
                    955: #define TOL 2.0e-4 
                    956: 
                    957: #define CGOLD 0.3819660 
                    958: #define ZEPS 1.0e-10 
                    959: #define SHFT(a,b,c,d) (a)=(b);(b)=(c);(c)=(d); 
                    960: 
                    961: #define GOLD 1.618034 
                    962: #define GLIMIT 100.0 
                    963: #define TINY 1.0e-20 
                    964: 
                    965: static double maxarg1,maxarg2;
                    966: #define FMAX(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)>(maxarg2)? (maxarg1):(maxarg2))
                    967: #define FMIN(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)<(maxarg2)? (maxarg1):(maxarg2))
                    968:   
                    969: #define SIGN(a,b) ((b)>0.0 ? fabs(a) : -fabs(a))
                    970: #define rint(a) floor(a+0.5)
1.166     brouard   971: /* http://www.thphys.uni-heidelberg.de/~robbers/cmbeasy/doc/html/myutils_8h-source.html */
1.183     brouard   972: #define mytinydouble 1.0e-16
1.166     brouard   973: /* #define DEQUAL(a,b) (fabs((a)-(b))<mytinydouble) */
                    974: /* http://www.thphys.uni-heidelberg.de/~robbers/cmbeasy/doc/html/mynrutils_8h-source.html */
                    975: /* static double dsqrarg; */
                    976: /* #define DSQR(a) (DEQUAL((dsqrarg=(a)),0.0) ? 0.0 : dsqrarg*dsqrarg) */
1.126     brouard   977: static double sqrarg;
                    978: #define SQR(a) ((sqrarg=(a)) == 0.0 ? 0.0 :sqrarg*sqrarg)
                    979: #define SWAP(a,b) {temp=(a);(a)=(b);(b)=temp;} 
                    980: int agegomp= AGEGOMP;
                    981: 
                    982: int imx; 
                    983: int stepm=1;
                    984: /* Stepm, step in month: minimum step interpolation*/
                    985: 
                    986: int estepm;
                    987: /* Estepm, step in month to interpolate survival function in order to approximate Life Expectancy*/
                    988: 
                    989: int m,nb;
                    990: long *num;
1.197     brouard   991: int firstpass=0, lastpass=4,*cod, *cens;
1.192     brouard   992: int *ncodemax;  /* ncodemax[j]= Number of modalities of the j th
                    993:                   covariate for which somebody answered excluding 
                    994:                   undefined. Usually 2: 0 and 1. */
                    995: int *ncodemaxwundef;  /* ncodemax[j]= Number of modalities of the j th
                    996:                             covariate for which somebody answered including 
                    997:                             undefined. Usually 3: -1, 0 and 1. */
1.126     brouard   998: double **agev,*moisnais, *annais, *moisdc, *andc,**mint, **anint;
1.218     brouard   999: double **pmmij, ***probs; /* Global pointer */
1.219     brouard  1000: double ***mobaverage, ***mobaverages; /* New global variable */
1.126     brouard  1001: double *ageexmed,*agecens;
                   1002: double dateintmean=0;
                   1003: 
                   1004: double *weight;
                   1005: int **s; /* Status */
1.141     brouard  1006: double *agedc;
1.145     brouard  1007: double  **covar; /**< covar[j,i], value of jth covariate for individual i,
1.141     brouard  1008:                  * covar=matrix(0,NCOVMAX,1,n); 
1.187     brouard  1009:                  * cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*age; */
1.225   ! brouard  1010: double **coqvar; /* Fixed quantitative covariate iqv */
        !          1011: double ***cotvar; /* Time varying covariate itv */
        !          1012: double ***cotqvar; /* Time varying quantitative covariate itqv */
1.141     brouard  1013: double  idx; 
                   1014: int **nbcode, *Tvar; /**< model=V2 => Tvar[1]= 2 */
1.225   ! brouard  1015: int *Typevar; /**< 1 for qualitative fixed, 2 for quantitative fixed, 3 for qualitive varying, 4 for quanti varying*/
1.197     brouard  1016: int *Tage;
1.145     brouard  1017: int *Ndum; /** Freq of modality (tricode */
1.200     brouard  1018: /* int **codtab;*/ /**< codtab=imatrix(1,100,1,10); */
1.220     brouard  1019: int **Tvard, *Tprod, cptcovprod, *Tvaraff, *invalidvarcomb;
1.126     brouard  1020: double *lsurv, *lpop, *tpop;
                   1021: 
1.143     brouard  1022: double ftol=FTOL; /**< Tolerance for computing Max Likelihood */
                   1023: double ftolhess; /**< Tolerance for computing hessian */
1.126     brouard  1024: 
                   1025: /**************** split *************************/
                   1026: static int split( char *path, char *dirc, char *name, char *ext, char *finame )
                   1027: {
                   1028:   /* From a file name with (full) path (either Unix or Windows) we extract the directory (dirc)
                   1029:      the name of the file (name), its extension only (ext) and its first part of the name (finame)
                   1030:   */ 
                   1031:   char *ss;                            /* pointer */
1.186     brouard  1032:   int  l1=0, l2=0;                             /* length counters */
1.126     brouard  1033: 
                   1034:   l1 = strlen(path );                  /* length of path */
                   1035:   if ( l1 == 0 ) return( GLOCK_ERROR_NOPATH );
                   1036:   ss= strrchr( path, DIRSEPARATOR );           /* find last / */
                   1037:   if ( ss == NULL ) {                  /* no directory, so determine current directory */
                   1038:     strcpy( name, path );              /* we got the fullname name because no directory */
                   1039:     /*if(strrchr(path, ODIRSEPARATOR )==NULL)
                   1040:       printf("Warning you should use %s as a separator\n",DIRSEPARATOR);*/
                   1041:     /* get current working directory */
                   1042:     /*    extern  char* getcwd ( char *buf , int len);*/
1.184     brouard  1043: #ifdef WIN32
                   1044:     if (_getcwd( dirc, FILENAME_MAX ) == NULL ) {
                   1045: #else
                   1046:        if (getcwd(dirc, FILENAME_MAX) == NULL) {
                   1047: #endif
1.126     brouard  1048:       return( GLOCK_ERROR_GETCWD );
                   1049:     }
                   1050:     /* got dirc from getcwd*/
                   1051:     printf(" DIRC = %s \n",dirc);
1.205     brouard  1052:   } else {                             /* strip directory from path */
1.126     brouard  1053:     ss++;                              /* after this, the filename */
                   1054:     l2 = strlen( ss );                 /* length of filename */
                   1055:     if ( l2 == 0 ) return( GLOCK_ERROR_NOPATH );
                   1056:     strcpy( name, ss );                /* save file name */
                   1057:     strncpy( dirc, path, l1 - l2 );    /* now the directory */
1.186     brouard  1058:     dirc[l1-l2] = '\0';                        /* add zero */
1.126     brouard  1059:     printf(" DIRC2 = %s \n",dirc);
                   1060:   }
                   1061:   /* We add a separator at the end of dirc if not exists */
                   1062:   l1 = strlen( dirc );                 /* length of directory */
                   1063:   if( dirc[l1-1] != DIRSEPARATOR ){
                   1064:     dirc[l1] =  DIRSEPARATOR;
                   1065:     dirc[l1+1] = 0; 
                   1066:     printf(" DIRC3 = %s \n",dirc);
                   1067:   }
                   1068:   ss = strrchr( name, '.' );           /* find last / */
                   1069:   if (ss >0){
                   1070:     ss++;
                   1071:     strcpy(ext,ss);                    /* save extension */
                   1072:     l1= strlen( name);
                   1073:     l2= strlen(ss)+1;
                   1074:     strncpy( finame, name, l1-l2);
                   1075:     finame[l1-l2]= 0;
                   1076:   }
                   1077: 
                   1078:   return( 0 );                         /* we're done */
                   1079: }
                   1080: 
                   1081: 
                   1082: /******************************************/
                   1083: 
                   1084: void replace_back_to_slash(char *s, char*t)
                   1085: {
                   1086:   int i;
                   1087:   int lg=0;
                   1088:   i=0;
                   1089:   lg=strlen(t);
                   1090:   for(i=0; i<= lg; i++) {
                   1091:     (s[i] = t[i]);
                   1092:     if (t[i]== '\\') s[i]='/';
                   1093:   }
                   1094: }
                   1095: 
1.132     brouard  1096: char *trimbb(char *out, char *in)
1.137     brouard  1097: { /* Trim multiple blanks in line but keeps first blanks if line starts with blanks */
1.132     brouard  1098:   char *s;
                   1099:   s=out;
                   1100:   while (*in != '\0'){
1.137     brouard  1101:     while( *in == ' ' && *(in+1) == ' '){ /* && *(in+1) != '\0'){*/
1.132     brouard  1102:       in++;
                   1103:     }
                   1104:     *out++ = *in++;
                   1105:   }
                   1106:   *out='\0';
                   1107:   return s;
                   1108: }
                   1109: 
1.187     brouard  1110: /* char *substrchaine(char *out, char *in, char *chain) */
                   1111: /* { */
                   1112: /*   /\* Substract chain 'chain' from 'in', return and output 'out' *\/ */
                   1113: /*   char *s, *t; */
                   1114: /*   t=in;s=out; */
                   1115: /*   while ((*in != *chain) && (*in != '\0')){ */
                   1116: /*     *out++ = *in++; */
                   1117: /*   } */
                   1118: 
                   1119: /*   /\* *in matches *chain *\/ */
                   1120: /*   while ((*in++ == *chain++) && (*in != '\0')){ */
                   1121: /*     printf("*in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
                   1122: /*   } */
                   1123: /*   in--; chain--; */
                   1124: /*   while ( (*in != '\0')){ */
                   1125: /*     printf("Bef *in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
                   1126: /*     *out++ = *in++; */
                   1127: /*     printf("Aft *in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
                   1128: /*   } */
                   1129: /*   *out='\0'; */
                   1130: /*   out=s; */
                   1131: /*   return out; */
                   1132: /* } */
                   1133: char *substrchaine(char *out, char *in, char *chain)
                   1134: {
                   1135:   /* Substract chain 'chain' from 'in', return and output 'out' */
                   1136:   /* in="V1+V1*age+age*age+V2", chain="age*age" */
                   1137: 
                   1138:   char *strloc;
                   1139: 
                   1140:   strcpy (out, in); 
                   1141:   strloc = strstr(out, chain); /* strloc points to out at age*age+V2 */
                   1142:   printf("Bef strloc=%s chain=%s out=%s \n", strloc, chain, out);
                   1143:   if(strloc != NULL){ 
                   1144:     /* will affect out */ /* strloc+strlenc(chain)=+V2 */ /* Will also work in Unicode */
                   1145:     memmove(strloc,strloc+strlen(chain), strlen(strloc+strlen(chain))+1);
                   1146:     /* strcpy (strloc, strloc +strlen(chain));*/
                   1147:   }
                   1148:   printf("Aft strloc=%s chain=%s in=%s out=%s \n", strloc, chain, in, out);
                   1149:   return out;
                   1150: }
                   1151: 
                   1152: 
1.145     brouard  1153: char *cutl(char *blocc, char *alocc, char *in, char occ)
                   1154: {
1.187     brouard  1155:   /* cuts string in into blocc and alocc where blocc ends before FIRST occurence of char 'occ' 
1.145     brouard  1156:      and alocc starts after first occurence of char 'occ' : ex cutv(blocc,alocc,"abcdef2ghi2j",'2')
1.187     brouard  1157:      gives blocc="abcdef" and alocc="ghi2j".
1.145     brouard  1158:      If occ is not found blocc is null and alocc is equal to in. Returns blocc
                   1159:   */
1.160     brouard  1160:   char *s, *t;
1.145     brouard  1161:   t=in;s=in;
                   1162:   while ((*in != occ) && (*in != '\0')){
                   1163:     *alocc++ = *in++;
                   1164:   }
                   1165:   if( *in == occ){
                   1166:     *(alocc)='\0';
                   1167:     s=++in;
                   1168:   }
                   1169:  
                   1170:   if (s == t) {/* occ not found */
                   1171:     *(alocc-(in-s))='\0';
                   1172:     in=s;
                   1173:   }
                   1174:   while ( *in != '\0'){
                   1175:     *blocc++ = *in++;
                   1176:   }
                   1177: 
                   1178:   *blocc='\0';
                   1179:   return t;
                   1180: }
1.137     brouard  1181: char *cutv(char *blocc, char *alocc, char *in, char occ)
                   1182: {
1.187     brouard  1183:   /* cuts string in into blocc and alocc where blocc ends before LAST occurence of char 'occ' 
1.137     brouard  1184:      and alocc starts after last occurence of char 'occ' : ex cutv(blocc,alocc,"abcdef2ghi2j",'2')
                   1185:      gives blocc="abcdef2ghi" and alocc="j".
                   1186:      If occ is not found blocc is null and alocc is equal to in. Returns alocc
                   1187:   */
                   1188:   char *s, *t;
                   1189:   t=in;s=in;
                   1190:   while (*in != '\0'){
                   1191:     while( *in == occ){
                   1192:       *blocc++ = *in++;
                   1193:       s=in;
                   1194:     }
                   1195:     *blocc++ = *in++;
                   1196:   }
                   1197:   if (s == t) /* occ not found */
                   1198:     *(blocc-(in-s))='\0';
                   1199:   else
                   1200:     *(blocc-(in-s)-1)='\0';
                   1201:   in=s;
                   1202:   while ( *in != '\0'){
                   1203:     *alocc++ = *in++;
                   1204:   }
                   1205: 
                   1206:   *alocc='\0';
                   1207:   return s;
                   1208: }
                   1209: 
1.126     brouard  1210: int nbocc(char *s, char occ)
                   1211: {
                   1212:   int i,j=0;
                   1213:   int lg=20;
                   1214:   i=0;
                   1215:   lg=strlen(s);
                   1216:   for(i=0; i<= lg; i++) {
                   1217:   if  (s[i] == occ ) j++;
                   1218:   }
                   1219:   return j;
                   1220: }
                   1221: 
1.137     brouard  1222: /* void cutv(char *u,char *v, char*t, char occ) */
                   1223: /* { */
                   1224: /*   /\* cuts string t into u and v where u ends before last occurence of char 'occ'  */
                   1225: /*      and v starts after last occurence of char 'occ' : ex cutv(u,v,"abcdef2ghi2j",'2') */
                   1226: /*      gives u="abcdef2ghi" and v="j" *\/ */
                   1227: /*   int i,lg,j,p=0; */
                   1228: /*   i=0; */
                   1229: /*   lg=strlen(t); */
                   1230: /*   for(j=0; j<=lg-1; j++) { */
                   1231: /*     if((t[j]!= occ) && (t[j+1]== occ)) p=j+1; */
                   1232: /*   } */
1.126     brouard  1233: 
1.137     brouard  1234: /*   for(j=0; j<p; j++) { */
                   1235: /*     (u[j] = t[j]); */
                   1236: /*   } */
                   1237: /*      u[p]='\0'; */
1.126     brouard  1238: 
1.137     brouard  1239: /*    for(j=0; j<= lg; j++) { */
                   1240: /*     if (j>=(p+1))(v[j-p-1] = t[j]); */
                   1241: /*   } */
                   1242: /* } */
1.126     brouard  1243: 
1.160     brouard  1244: #ifdef _WIN32
                   1245: char * strsep(char **pp, const char *delim)
                   1246: {
                   1247:   char *p, *q;
                   1248:          
                   1249:   if ((p = *pp) == NULL)
                   1250:     return 0;
                   1251:   if ((q = strpbrk (p, delim)) != NULL)
                   1252:   {
                   1253:     *pp = q + 1;
                   1254:     *q = '\0';
                   1255:   }
                   1256:   else
                   1257:     *pp = 0;
                   1258:   return p;
                   1259: }
                   1260: #endif
                   1261: 
1.126     brouard  1262: /********************** nrerror ********************/
                   1263: 
                   1264: void nrerror(char error_text[])
                   1265: {
                   1266:   fprintf(stderr,"ERREUR ...\n");
                   1267:   fprintf(stderr,"%s\n",error_text);
                   1268:   exit(EXIT_FAILURE);
                   1269: }
                   1270: /*********************** vector *******************/
                   1271: double *vector(int nl, int nh)
                   1272: {
                   1273:   double *v;
                   1274:   v=(double *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(double)));
                   1275:   if (!v) nrerror("allocation failure in vector");
                   1276:   return v-nl+NR_END;
                   1277: }
                   1278: 
                   1279: /************************ free vector ******************/
                   1280: void free_vector(double*v, int nl, int nh)
                   1281: {
                   1282:   free((FREE_ARG)(v+nl-NR_END));
                   1283: }
                   1284: 
                   1285: /************************ivector *******************************/
                   1286: int *ivector(long nl,long nh)
                   1287: {
                   1288:   int *v;
                   1289:   v=(int *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(int)));
                   1290:   if (!v) nrerror("allocation failure in ivector");
                   1291:   return v-nl+NR_END;
                   1292: }
                   1293: 
                   1294: /******************free ivector **************************/
                   1295: void free_ivector(int *v, long nl, long nh)
                   1296: {
                   1297:   free((FREE_ARG)(v+nl-NR_END));
                   1298: }
                   1299: 
                   1300: /************************lvector *******************************/
                   1301: long *lvector(long nl,long nh)
                   1302: {
                   1303:   long *v;
                   1304:   v=(long *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(long)));
                   1305:   if (!v) nrerror("allocation failure in ivector");
                   1306:   return v-nl+NR_END;
                   1307: }
                   1308: 
                   1309: /******************free lvector **************************/
                   1310: void free_lvector(long *v, long nl, long nh)
                   1311: {
                   1312:   free((FREE_ARG)(v+nl-NR_END));
                   1313: }
                   1314: 
                   1315: /******************* imatrix *******************************/
                   1316: int **imatrix(long nrl, long nrh, long ncl, long nch) 
                   1317:      /* allocate a int matrix with subscript range m[nrl..nrh][ncl..nch] */ 
                   1318: { 
                   1319:   long i, nrow=nrh-nrl+1,ncol=nch-ncl+1; 
                   1320:   int **m; 
                   1321:   
                   1322:   /* allocate pointers to rows */ 
                   1323:   m=(int **) malloc((size_t)((nrow+NR_END)*sizeof(int*))); 
                   1324:   if (!m) nrerror("allocation failure 1 in matrix()"); 
                   1325:   m += NR_END; 
                   1326:   m -= nrl; 
                   1327:   
                   1328:   
                   1329:   /* allocate rows and set pointers to them */ 
                   1330:   m[nrl]=(int *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(int))); 
                   1331:   if (!m[nrl]) nrerror("allocation failure 2 in matrix()"); 
                   1332:   m[nrl] += NR_END; 
                   1333:   m[nrl] -= ncl; 
                   1334:   
                   1335:   for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol; 
                   1336:   
                   1337:   /* return pointer to array of pointers to rows */ 
                   1338:   return m; 
                   1339: } 
                   1340: 
                   1341: /****************** free_imatrix *************************/
                   1342: void free_imatrix(m,nrl,nrh,ncl,nch)
                   1343:       int **m;
                   1344:       long nch,ncl,nrh,nrl; 
                   1345:      /* free an int matrix allocated by imatrix() */ 
                   1346: { 
                   1347:   free((FREE_ARG) (m[nrl]+ncl-NR_END)); 
                   1348:   free((FREE_ARG) (m+nrl-NR_END)); 
                   1349: } 
                   1350: 
                   1351: /******************* matrix *******************************/
                   1352: double **matrix(long nrl, long nrh, long ncl, long nch)
                   1353: {
                   1354:   long i, nrow=nrh-nrl+1, ncol=nch-ncl+1;
                   1355:   double **m;
                   1356: 
                   1357:   m=(double **) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
                   1358:   if (!m) nrerror("allocation failure 1 in matrix()");
                   1359:   m += NR_END;
                   1360:   m -= nrl;
                   1361: 
                   1362:   m[nrl]=(double *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
                   1363:   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
                   1364:   m[nrl] += NR_END;
                   1365:   m[nrl] -= ncl;
                   1366: 
                   1367:   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
                   1368:   return m;
1.145     brouard  1369:   /* print *(*(m+1)+70) or print m[1][70]; print m+1 or print &(m[1]) or &(m[1][0])
                   1370: m[i] = address of ith row of the table. &(m[i]) is its value which is another adress
                   1371: that of m[i][0]. In order to get the value p m[i][0] but it is unitialized.
1.126     brouard  1372:    */
                   1373: }
                   1374: 
                   1375: /*************************free matrix ************************/
                   1376: void free_matrix(double **m, long nrl, long nrh, long ncl, long nch)
                   1377: {
                   1378:   free((FREE_ARG)(m[nrl]+ncl-NR_END));
                   1379:   free((FREE_ARG)(m+nrl-NR_END));
                   1380: }
                   1381: 
                   1382: /******************* ma3x *******************************/
                   1383: double ***ma3x(long nrl, long nrh, long ncl, long nch, long nll, long nlh)
                   1384: {
                   1385:   long i, j, nrow=nrh-nrl+1, ncol=nch-ncl+1, nlay=nlh-nll+1;
                   1386:   double ***m;
                   1387: 
                   1388:   m=(double ***) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
                   1389:   if (!m) nrerror("allocation failure 1 in matrix()");
                   1390:   m += NR_END;
                   1391:   m -= nrl;
                   1392: 
                   1393:   m[nrl]=(double **) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
                   1394:   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
                   1395:   m[nrl] += NR_END;
                   1396:   m[nrl] -= ncl;
                   1397: 
                   1398:   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
                   1399: 
                   1400:   m[nrl][ncl]=(double *) malloc((size_t)((nrow*ncol*nlay+NR_END)*sizeof(double)));
                   1401:   if (!m[nrl][ncl]) nrerror("allocation failure 3 in matrix()");
                   1402:   m[nrl][ncl] += NR_END;
                   1403:   m[nrl][ncl] -= nll;
                   1404:   for (j=ncl+1; j<=nch; j++) 
                   1405:     m[nrl][j]=m[nrl][j-1]+nlay;
                   1406:   
                   1407:   for (i=nrl+1; i<=nrh; i++) {
                   1408:     m[i][ncl]=m[i-1l][ncl]+ncol*nlay;
                   1409:     for (j=ncl+1; j<=nch; j++) 
                   1410:       m[i][j]=m[i][j-1]+nlay;
                   1411:   }
                   1412:   return m; 
                   1413:   /*  gdb: p *(m+1) <=> p m[1] and p (m+1) <=> p (m+1) <=> p &(m[1])
                   1414:            &(m[i][j][k]) <=> *((*(m+i) + j)+k)
                   1415:   */
                   1416: }
                   1417: 
                   1418: /*************************free ma3x ************************/
                   1419: void free_ma3x(double ***m, long nrl, long nrh, long ncl, long nch,long nll, long nlh)
                   1420: {
                   1421:   free((FREE_ARG)(m[nrl][ncl]+ nll-NR_END));
                   1422:   free((FREE_ARG)(m[nrl]+ncl-NR_END));
                   1423:   free((FREE_ARG)(m+nrl-NR_END));
                   1424: }
                   1425: 
                   1426: /*************** function subdirf ***********/
                   1427: char *subdirf(char fileres[])
                   1428: {
                   1429:   /* Caution optionfilefiname is hidden */
                   1430:   strcpy(tmpout,optionfilefiname);
                   1431:   strcat(tmpout,"/"); /* Add to the right */
                   1432:   strcat(tmpout,fileres);
                   1433:   return tmpout;
                   1434: }
                   1435: 
                   1436: /*************** function subdirf2 ***********/
                   1437: char *subdirf2(char fileres[], char *preop)
                   1438: {
                   1439:   
                   1440:   /* Caution optionfilefiname is hidden */
                   1441:   strcpy(tmpout,optionfilefiname);
                   1442:   strcat(tmpout,"/");
                   1443:   strcat(tmpout,preop);
                   1444:   strcat(tmpout,fileres);
                   1445:   return tmpout;
                   1446: }
                   1447: 
                   1448: /*************** function subdirf3 ***********/
                   1449: char *subdirf3(char fileres[], char *preop, char *preop2)
                   1450: {
                   1451:   
                   1452:   /* Caution optionfilefiname is hidden */
                   1453:   strcpy(tmpout,optionfilefiname);
                   1454:   strcat(tmpout,"/");
                   1455:   strcat(tmpout,preop);
                   1456:   strcat(tmpout,preop2);
                   1457:   strcat(tmpout,fileres);
                   1458:   return tmpout;
                   1459: }
1.213     brouard  1460:  
                   1461: /*************** function subdirfext ***********/
                   1462: char *subdirfext(char fileres[], char *preop, char *postop)
                   1463: {
                   1464:   
                   1465:   strcpy(tmpout,preop);
                   1466:   strcat(tmpout,fileres);
                   1467:   strcat(tmpout,postop);
                   1468:   return tmpout;
                   1469: }
1.126     brouard  1470: 
1.213     brouard  1471: /*************** function subdirfext3 ***********/
                   1472: char *subdirfext3(char fileres[], char *preop, char *postop)
                   1473: {
                   1474:   
                   1475:   /* Caution optionfilefiname is hidden */
                   1476:   strcpy(tmpout,optionfilefiname);
                   1477:   strcat(tmpout,"/");
                   1478:   strcat(tmpout,preop);
                   1479:   strcat(tmpout,fileres);
                   1480:   strcat(tmpout,postop);
                   1481:   return tmpout;
                   1482: }
                   1483:  
1.162     brouard  1484: char *asc_diff_time(long time_sec, char ascdiff[])
                   1485: {
                   1486:   long sec_left, days, hours, minutes;
                   1487:   days = (time_sec) / (60*60*24);
                   1488:   sec_left = (time_sec) % (60*60*24);
                   1489:   hours = (sec_left) / (60*60) ;
                   1490:   sec_left = (sec_left) %(60*60);
                   1491:   minutes = (sec_left) /60;
                   1492:   sec_left = (sec_left) % (60);
                   1493:   sprintf(ascdiff,"%ld day(s) %ld hour(s) %ld minute(s) %ld second(s)",days, hours, minutes, sec_left);  
                   1494:   return ascdiff;
                   1495: }
                   1496: 
1.126     brouard  1497: /***************** f1dim *************************/
                   1498: extern int ncom; 
                   1499: extern double *pcom,*xicom;
                   1500: extern double (*nrfunc)(double []); 
                   1501:  
                   1502: double f1dim(double x) 
                   1503: { 
                   1504:   int j; 
                   1505:   double f;
                   1506:   double *xt; 
                   1507:  
                   1508:   xt=vector(1,ncom); 
                   1509:   for (j=1;j<=ncom;j++) xt[j]=pcom[j]+x*xicom[j]; 
                   1510:   f=(*nrfunc)(xt); 
                   1511:   free_vector(xt,1,ncom); 
                   1512:   return f; 
                   1513: } 
                   1514: 
                   1515: /*****************brent *************************/
                   1516: double brent(double ax, double bx, double cx, double (*f)(double), double tol,         double *xmin) 
1.187     brouard  1517: {
                   1518:   /* Given a function f, and given a bracketing triplet of abscissas ax, bx, cx (such that bx is
                   1519:    * between ax and cx, and f(bx) is less than both f(ax) and f(cx) ), this routine isolates
                   1520:    * the minimum to a fractional precision of about tol using Brent’s method. The abscissa of
                   1521:    * the minimum is returned as xmin, and the minimum function value is returned as brent , the
                   1522:    * returned function value. 
                   1523:   */
1.126     brouard  1524:   int iter; 
                   1525:   double a,b,d,etemp;
1.159     brouard  1526:   double fu=0,fv,fw,fx;
1.164     brouard  1527:   double ftemp=0.;
1.126     brouard  1528:   double p,q,r,tol1,tol2,u,v,w,x,xm; 
                   1529:   double e=0.0; 
                   1530:  
                   1531:   a=(ax < cx ? ax : cx); 
                   1532:   b=(ax > cx ? ax : cx); 
                   1533:   x=w=v=bx; 
                   1534:   fw=fv=fx=(*f)(x); 
                   1535:   for (iter=1;iter<=ITMAX;iter++) { 
                   1536:     xm=0.5*(a+b); 
                   1537:     tol2=2.0*(tol1=tol*fabs(x)+ZEPS); 
                   1538:     /*         if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret)))*/
                   1539:     printf(".");fflush(stdout);
                   1540:     fprintf(ficlog,".");fflush(ficlog);
1.162     brouard  1541: #ifdef DEBUGBRENT
1.126     brouard  1542:     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);
                   1543:     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);
                   1544:     /*         if ((fabs(x-xm) <= (tol2-0.5*(b-a)))||(2.0*fabs(fu-ftemp) <= ftol*1.e-2*(fabs(fu)+fabs(ftemp)))) { */
                   1545: #endif
                   1546:     if (fabs(x-xm) <= (tol2-0.5*(b-a))){ 
                   1547:       *xmin=x; 
                   1548:       return fx; 
                   1549:     } 
                   1550:     ftemp=fu;
                   1551:     if (fabs(e) > tol1) { 
                   1552:       r=(x-w)*(fx-fv); 
                   1553:       q=(x-v)*(fx-fw); 
                   1554:       p=(x-v)*q-(x-w)*r; 
                   1555:       q=2.0*(q-r); 
                   1556:       if (q > 0.0) p = -p; 
                   1557:       q=fabs(q); 
                   1558:       etemp=e; 
                   1559:       e=d; 
                   1560:       if (fabs(p) >= fabs(0.5*q*etemp) || p <= q*(a-x) || p >= q*(b-x)) 
1.224     brouard  1561:                                d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
1.126     brouard  1562:       else { 
1.224     brouard  1563:                                d=p/q; 
                   1564:                                u=x+d; 
                   1565:                                if (u-a < tol2 || b-u < tol2) 
                   1566:                                        d=SIGN(tol1,xm-x); 
1.126     brouard  1567:       } 
                   1568:     } else { 
                   1569:       d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
                   1570:     } 
                   1571:     u=(fabs(d) >= tol1 ? x+d : x+SIGN(tol1,d)); 
                   1572:     fu=(*f)(u); 
                   1573:     if (fu <= fx) { 
                   1574:       if (u >= x) a=x; else b=x; 
                   1575:       SHFT(v,w,x,u) 
1.183     brouard  1576:       SHFT(fv,fw,fx,fu) 
                   1577:     } else { 
                   1578:       if (u < x) a=u; else b=u; 
                   1579:       if (fu <= fw || w == x) { 
1.224     brouard  1580:                                v=w; 
                   1581:                                w=u; 
                   1582:                                fv=fw; 
                   1583:                                fw=fu; 
1.183     brouard  1584:       } else if (fu <= fv || v == x || v == w) { 
1.224     brouard  1585:                                v=u; 
                   1586:                                fv=fu; 
1.183     brouard  1587:       } 
                   1588:     } 
1.126     brouard  1589:   } 
                   1590:   nrerror("Too many iterations in brent"); 
                   1591:   *xmin=x; 
                   1592:   return fx; 
                   1593: } 
                   1594: 
                   1595: /****************** mnbrak ***********************/
                   1596: 
                   1597: void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, double *fc, 
                   1598:            double (*func)(double)) 
1.183     brouard  1599: { /* Given a function func , and given distinct initial points ax and bx , this routine searches in
                   1600: the downhill direction (defined by the function as evaluated at the initial points) and returns
                   1601: new points ax , bx , cx that bracket a minimum of the function. Also returned are the function
                   1602: values at the three points, fa, fb , and fc such that fa > fb and fb < fc.
                   1603:    */
1.126     brouard  1604:   double ulim,u,r,q, dum;
                   1605:   double fu; 
1.187     brouard  1606: 
                   1607:   double scale=10.;
                   1608:   int iterscale=0;
                   1609: 
                   1610:   *fa=(*func)(*ax); /*  xta[j]=pcom[j]+(*ax)*xicom[j]; fa=f(xta[j])*/
                   1611:   *fb=(*func)(*bx); /*  xtb[j]=pcom[j]+(*bx)*xicom[j]; fb=f(xtb[j]) */
                   1612: 
                   1613: 
                   1614:   /* while(*fb != *fb){ /\* *ax should be ok, reducing distance to *ax *\/ */
                   1615:   /*   printf("Warning mnbrak *fb = %lf, *bx=%lf *ax=%lf *fa==%lf iter=%d\n",*fb, *bx, *ax, *fa, iterscale++); */
                   1616:   /*   *bx = *ax - (*ax - *bx)/scale; */
                   1617:   /*   *fb=(*func)(*bx);  /\*  xtb[j]=pcom[j]+(*bx)*xicom[j]; fb=f(xtb[j]) *\/ */
                   1618:   /* } */
                   1619: 
1.126     brouard  1620:   if (*fb > *fa) { 
                   1621:     SHFT(dum,*ax,*bx,dum) 
1.183     brouard  1622:     SHFT(dum,*fb,*fa,dum) 
                   1623:   } 
1.126     brouard  1624:   *cx=(*bx)+GOLD*(*bx-*ax); 
                   1625:   *fc=(*func)(*cx); 
1.183     brouard  1626: #ifdef DEBUG
1.224     brouard  1627:   printf("mnbrak0 a=%lf *fa=%lf, b=%lf *fb=%lf, c=%lf *fc=%lf\n",*ax,*fa,*bx,*fb,*cx, *fc);
                   1628:   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  1629: #endif
1.224     brouard  1630:   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  1631:     r=(*bx-*ax)*(*fb-*fc); 
1.224     brouard  1632:     q=(*bx-*cx)*(*fb-*fa); /* What if fa=inf */
1.126     brouard  1633:     u=(*bx)-((*bx-*cx)*q-(*bx-*ax)*r)/ 
1.183     brouard  1634:       (2.0*SIGN(FMAX(fabs(q-r),TINY),q-r)); /* Minimum abscissa of a parabolic estimated from (a,fa), (b,fb) and (c,fc). */
                   1635:     ulim=(*bx)+GLIMIT*(*cx-*bx); /* Maximum abscissa where function should be evaluated */
                   1636:     if ((*bx-u)*(u-*cx) > 0.0) { /* if u_p is between b and c */
1.126     brouard  1637:       fu=(*func)(u); 
1.163     brouard  1638: #ifdef DEBUG
                   1639:       /* f(x)=A(x-u)**2+f(u) */
                   1640:       double A, fparabu; 
                   1641:       A= (*fb - *fa)/(*bx-*ax)/(*bx+*ax-2*u);
                   1642:       fparabu= *fa - A*(*ax-u)*(*ax-u);
1.224     brouard  1643:       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);
                   1644:       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  1645:       /* And thus,it can be that fu > *fc even if fparabu < *fc */
                   1646:       /* mnbrak (*ax=7.666299858533, *fa=299039.693133272231), (*bx=8.595447774979, *fb=298976.598289369489),
                   1647:         (*cx=10.098840694817, *fc=298946.631474258087),  (*u=9.852501168332, fu=298948.773013752128, fparabu=298945.434711494134) */
                   1648:       /* In that case, there is no bracket in the output! Routine is wrong with many consequences.*/
1.163     brouard  1649: #endif 
1.184     brouard  1650: #ifdef MNBRAKORIGINAL
1.183     brouard  1651: #else
1.191     brouard  1652: /*       if (fu > *fc) { */
                   1653: /* #ifdef DEBUG */
                   1654: /*       printf("mnbrak4  fu > fc \n"); */
                   1655: /*       fprintf(ficlog, "mnbrak4 fu > fc\n"); */
                   1656: /* #endif */
                   1657: /*     /\* 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 *\\/  *\/ */
                   1658: /*     /\* SHFT(*fa,*fc,fu,*fc) /\\* (b, u, c) is a bracket while test fb > fc will be fu > fc  will exit *\\/ *\/ */
                   1659: /*     dum=u; /\* Shifting c and u *\/ */
                   1660: /*     u = *cx; */
                   1661: /*     *cx = dum; */
                   1662: /*     dum = fu; */
                   1663: /*     fu = *fc; */
                   1664: /*     *fc =dum; */
                   1665: /*       } else { /\* end *\/ */
                   1666: /* #ifdef DEBUG */
                   1667: /*       printf("mnbrak3  fu < fc \n"); */
                   1668: /*       fprintf(ficlog, "mnbrak3 fu < fc\n"); */
                   1669: /* #endif */
                   1670: /*     dum=u; /\* Shifting c and u *\/ */
                   1671: /*     u = *cx; */
                   1672: /*     *cx = dum; */
                   1673: /*     dum = fu; */
                   1674: /*     fu = *fc; */
                   1675: /*     *fc =dum; */
                   1676: /*       } */
1.224     brouard  1677: #ifdef DEBUGMNBRAK
                   1678:                 double A, fparabu; 
                   1679:      A= (*fb - *fa)/(*bx-*ax)/(*bx+*ax-2*u);
                   1680:      fparabu= *fa - A*(*ax-u)*(*ax-u);
                   1681:      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);
                   1682:      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  1683: #endif
1.191     brouard  1684:       dum=u; /* Shifting c and u */
                   1685:       u = *cx;
                   1686:       *cx = dum;
                   1687:       dum = fu;
                   1688:       fu = *fc;
                   1689:       *fc =dum;
1.183     brouard  1690: #endif
1.162     brouard  1691:     } else if ((*cx-u)*(u-ulim) > 0.0) { /* u is after c but before ulim */
1.183     brouard  1692: #ifdef DEBUG
1.224     brouard  1693:       printf("\nmnbrak2  u=%lf after c=%lf but before ulim\n",u,*cx);
                   1694:       fprintf(ficlog,"\nmnbrak2  u=%lf after c=%lf but before ulim\n",u,*cx);
1.183     brouard  1695: #endif
1.126     brouard  1696:       fu=(*func)(u); 
                   1697:       if (fu < *fc) { 
1.183     brouard  1698: #ifdef DEBUG
1.224     brouard  1699:                                printf("\nmnbrak2  u=%lf after c=%lf but before ulim=%lf AND fu=%lf < %lf=fc\n",u,*cx,ulim,fu, *fc);
                   1700:                          fprintf(ficlog,"\nmnbrak2  u=%lf after c=%lf but before ulim=%lf AND fu=%lf < %lf=fc\n",u,*cx,ulim,fu, *fc);
                   1701: #endif
                   1702:                          SHFT(*bx,*cx,u,*cx+GOLD*(*cx-*bx)) 
                   1703:                                SHFT(*fb,*fc,fu,(*func)(u)) 
                   1704: #ifdef DEBUG
                   1705:                                        printf("\nmnbrak2 shift GOLD c=%lf",*cx+GOLD*(*cx-*bx));
1.183     brouard  1706: #endif
                   1707:       } 
1.162     brouard  1708:     } else if ((u-ulim)*(ulim-*cx) >= 0.0) { /* u outside ulim (verifying that ulim is beyond c) */
1.183     brouard  1709: #ifdef DEBUG
1.224     brouard  1710:       printf("\nmnbrak2  u=%lf outside ulim=%lf (verifying that ulim is beyond c=%lf)\n",u,ulim,*cx);
                   1711:       fprintf(ficlog,"\nmnbrak2  u=%lf outside ulim=%lf (verifying that ulim is beyond c=%lf)\n",u,ulim,*cx);
1.183     brouard  1712: #endif
1.126     brouard  1713:       u=ulim; 
                   1714:       fu=(*func)(u); 
1.183     brouard  1715:     } else { /* u could be left to b (if r > q parabola has a maximum) */
                   1716: #ifdef DEBUG
1.224     brouard  1717:       printf("\nmnbrak2  u=%lf could be left to b=%lf (if r=%lf > q=%lf parabola has a maximum)\n",u,*bx,r,q);
                   1718:       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  1719: #endif
1.126     brouard  1720:       u=(*cx)+GOLD*(*cx-*bx); 
                   1721:       fu=(*func)(u); 
1.224     brouard  1722: #ifdef DEBUG
                   1723:       printf("\nmnbrak2 new u=%lf fu=%lf shifted gold left from c=%lf and b=%lf \n",u,fu,*cx,*bx);
                   1724:       fprintf(ficlog,"\nmnbrak2 new u=%lf fu=%lf shifted gold left from c=%lf and b=%lf \n",u,fu,*cx,*bx);
                   1725: #endif
1.183     brouard  1726:     } /* end tests */
1.126     brouard  1727:     SHFT(*ax,*bx,*cx,u) 
1.183     brouard  1728:     SHFT(*fa,*fb,*fc,fu) 
                   1729: #ifdef DEBUG
1.224     brouard  1730:       printf("\nmnbrak2 shift (*ax=%.12f, *fa=%.12lf), (*bx=%.12f, *fb=%.12lf), (*cx=%.12f, *fc=%.12lf)\n",*ax,*fa,*bx,*fb,*cx,*fc);
                   1731:       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  1732: #endif
                   1733:   } /* 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  1734: } 
                   1735: 
                   1736: /*************** linmin ************************/
1.162     brouard  1737: /* Given an n -dimensional point p[1..n] and an n -dimensional direction xi[1..n] , moves and
                   1738: resets p to where the function func(p) takes on a minimum along the direction xi from p ,
                   1739: and replaces xi by the actual vector displacement that p was moved. Also returns as fret
                   1740: the value of func at the returned location p . This is actually all accomplished by calling the
                   1741: routines mnbrak and brent .*/
1.126     brouard  1742: int ncom; 
                   1743: double *pcom,*xicom;
                   1744: double (*nrfunc)(double []); 
                   1745:  
1.224     brouard  1746: #ifdef LINMINORIGINAL
1.126     brouard  1747: void linmin(double p[], double xi[], int n, double *fret,double (*func)(double [])) 
1.224     brouard  1748: #else
                   1749: void linmin(double p[], double xi[], int n, double *fret,double (*func)(double []), int *flat) 
                   1750: #endif
1.126     brouard  1751: { 
                   1752:   double brent(double ax, double bx, double cx, 
                   1753:               double (*f)(double), double tol, double *xmin); 
                   1754:   double f1dim(double x); 
                   1755:   void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, 
                   1756:              double *fc, double (*func)(double)); 
                   1757:   int j; 
                   1758:   double xx,xmin,bx,ax; 
                   1759:   double fx,fb,fa;
1.187     brouard  1760: 
1.203     brouard  1761: #ifdef LINMINORIGINAL
                   1762: #else
                   1763:   double scale=10., axs, xxs; /* Scale added for infinity */
                   1764: #endif
                   1765:   
1.126     brouard  1766:   ncom=n; 
                   1767:   pcom=vector(1,n); 
                   1768:   xicom=vector(1,n); 
                   1769:   nrfunc=func; 
                   1770:   for (j=1;j<=n;j++) { 
                   1771:     pcom[j]=p[j]; 
1.202     brouard  1772:     xicom[j]=xi[j]; /* Former scale xi[j] of currrent direction i */
1.126     brouard  1773:   } 
1.187     brouard  1774: 
1.203     brouard  1775: #ifdef LINMINORIGINAL
                   1776:   xx=1.;
                   1777: #else
                   1778:   axs=0.0;
                   1779:   xxs=1.;
                   1780:   do{
                   1781:     xx= xxs;
                   1782: #endif
1.187     brouard  1783:     ax=0.;
                   1784:     mnbrak(&ax,&xx,&bx,&fa,&fx,&fb,f1dim);  /* Outputs: xtx[j]=pcom[j]+(*xx)*xicom[j]; fx=f(xtx[j]) */
                   1785:     /* brackets with inputs ax=0 and xx=1, but points, pcom=p, and directions values, xicom=xi, are sent via f1dim(x) */
                   1786:     /* 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))   */
                   1787:     /* Outputs: fa=f(p(j)) and fx=f(p(j) + xxs * xi(j) ) and f(bx)= f(p(j)+ bx* xi(j)) */
                   1788:     /* Given input ax=axs and xx=xxs, xx might be too far from ax to get a finite f(xx) */
                   1789:     /* Searches on line, outputs (ax, xx, bx) such that fx < min(fa and fb) */
                   1790:     /* 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  1791: #ifdef LINMINORIGINAL
                   1792: #else
                   1793:     if (fx != fx){
1.224     brouard  1794:                        xxs=xxs/scale; /* Trying a smaller xx, closer to initial ax=0 */
                   1795:                        printf("|");
                   1796:                        fprintf(ficlog,"|");
1.203     brouard  1797: #ifdef DEBUGLINMIN
1.224     brouard  1798:                        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  1799: #endif
                   1800:     }
1.224     brouard  1801:   }while(fx != fx && xxs > 1.e-5);
1.203     brouard  1802: #endif
                   1803:   
1.191     brouard  1804: #ifdef DEBUGLINMIN
                   1805:   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  1806:   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  1807: #endif
1.224     brouard  1808: #ifdef LINMINORIGINAL
                   1809: #else
                   1810:        if(fb == fx){ /* Flat function in the direction */
                   1811:                xmin=xx;
                   1812:     *flat=1;
                   1813:        }else{
                   1814:     *flat=0;
                   1815: #endif
                   1816:                /*Flat mnbrak2 shift (*ax=0.000000000000, *fa=51626.272983130431), (*bx=-1.618034000000, *fb=51590.149499362531), (*cx=-4.236068025156, *fc=51590.149499362531) */
1.187     brouard  1817:   *fret=brent(ax,xx,bx,f1dim,TOL,&xmin); /* Giving a bracketting triplet (ax, xx, bx), find a minimum, xmin, according to f1dim, *fret(xmin),*/
                   1818:   /* fa = f(p[j] + ax * xi[j]), fx = f(p[j] + xx * xi[j]), fb = f(p[j] + bx * xi[j]) */
                   1819:   /* fmin = f(p[j] + xmin * xi[j]) */
                   1820:   /* P+lambda n in that direction (lambdamin), with TOL between abscisses */
                   1821:   /* f1dim(xmin): for (j=1;j<=ncom;j++) xt[j]=pcom[j]+xmin*xicom[j]; */
1.126     brouard  1822: #ifdef DEBUG
1.224     brouard  1823:   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);
                   1824:   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);
                   1825: #endif
                   1826: #ifdef LINMINORIGINAL
                   1827: #else
                   1828:                        }
1.126     brouard  1829: #endif
1.191     brouard  1830: #ifdef DEBUGLINMIN
                   1831:   printf("linmin end ");
1.202     brouard  1832:   fprintf(ficlog,"linmin end ");
1.191     brouard  1833: #endif
1.126     brouard  1834:   for (j=1;j<=n;j++) { 
1.203     brouard  1835: #ifdef LINMINORIGINAL
                   1836:     xi[j] *= xmin; 
                   1837: #else
                   1838: #ifdef DEBUGLINMIN
                   1839:     if(xxs <1.0)
                   1840:       printf(" before xi[%d]=%12.8f", j,xi[j]);
                   1841: #endif
                   1842:     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) */
                   1843: #ifdef DEBUGLINMIN
                   1844:     if(xxs <1.0)
                   1845:       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 );
                   1846: #endif
                   1847: #endif
1.187     brouard  1848:     p[j] += xi[j]; /* Parameters values are updated accordingly */
1.126     brouard  1849:   } 
1.191     brouard  1850: #ifdef DEBUGLINMIN
1.203     brouard  1851:   printf("\n");
1.191     brouard  1852:   printf("Comparing last *frec(xmin=%12.8f)=%12.8f from Brent and frec(0.)=%12.8f \n", xmin, *fret, (*func)(p));
1.202     brouard  1853:   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  1854:   for (j=1;j<=n;j++) { 
1.202     brouard  1855:     printf(" xi[%d]= %14.10f p[%d]= %12.7f",j,xi[j],j,p[j]);
                   1856:     fprintf(ficlog," xi[%d]= %14.10f p[%d]= %12.7f",j,xi[j],j,p[j]);
                   1857:     if(j % ncovmodel == 0){
1.191     brouard  1858:       printf("\n");
1.202     brouard  1859:       fprintf(ficlog,"\n");
                   1860:     }
1.191     brouard  1861:   }
1.203     brouard  1862: #else
1.191     brouard  1863: #endif
1.126     brouard  1864:   free_vector(xicom,1,n); 
                   1865:   free_vector(pcom,1,n); 
                   1866: } 
                   1867: 
                   1868: 
                   1869: /*************** powell ************************/
1.162     brouard  1870: /*
                   1871: Minimization of a function func of n variables. Input consists of an initial starting point
                   1872: p[1..n] ; an initial matrix xi[1..n][1..n] , whose columns contain the initial set of di-
                   1873: rections (usually the n unit vectors); and ftol , the fractional tolerance in the function value
                   1874: such that failure to decrease by more than this amount on one iteration signals doneness. On
                   1875: output, p is set to the best point found, xi is the then-current direction set, fret is the returned
                   1876: function value at p , and iter is the number of iterations taken. The routine linmin is used.
                   1877:  */
1.224     brouard  1878: #ifdef LINMINORIGINAL
                   1879: #else
                   1880:        int *flatdir; /* Function is vanishing in that direction */
1.225   ! brouard  1881:        int flat=0, flatd=0; /* Function is vanishing in that direction */
1.224     brouard  1882: #endif
1.126     brouard  1883: void powell(double p[], double **xi, int n, double ftol, int *iter, double *fret, 
                   1884:            double (*func)(double [])) 
                   1885: { 
1.224     brouard  1886: #ifdef LINMINORIGINAL
                   1887:  void linmin(double p[], double xi[], int n, double *fret, 
1.126     brouard  1888:              double (*func)(double [])); 
1.224     brouard  1889: #else 
                   1890:  void linmin(double p[], double xi[], int n, double *fret, 
                   1891:                                                 double (*func)(double []),int *flat); 
                   1892: #endif
1.126     brouard  1893:   int i,ibig,j; 
                   1894:   double del,t,*pt,*ptt,*xit;
1.181     brouard  1895:   double directest;
1.126     brouard  1896:   double fp,fptt;
                   1897:   double *xits;
                   1898:   int niterf, itmp;
1.224     brouard  1899: #ifdef LINMINORIGINAL
                   1900: #else
                   1901: 
                   1902:   flatdir=ivector(1,n); 
                   1903:   for (j=1;j<=n;j++) flatdir[j]=0; 
                   1904: #endif
1.126     brouard  1905: 
                   1906:   pt=vector(1,n); 
                   1907:   ptt=vector(1,n); 
                   1908:   xit=vector(1,n); 
                   1909:   xits=vector(1,n); 
                   1910:   *fret=(*func)(p); 
                   1911:   for (j=1;j<=n;j++) pt[j]=p[j]; 
1.202     brouard  1912:   rcurr_time = time(NULL);  
1.126     brouard  1913:   for (*iter=1;;++(*iter)) { 
1.187     brouard  1914:     fp=(*fret); /* From former iteration or initial value */
1.126     brouard  1915:     ibig=0; 
                   1916:     del=0.0; 
1.157     brouard  1917:     rlast_time=rcurr_time;
                   1918:     /* (void) gettimeofday(&curr_time,&tzp); */
                   1919:     rcurr_time = time(NULL);  
                   1920:     curr_time = *localtime(&rcurr_time);
                   1921:     printf("\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret, rcurr_time-rlast_time, rcurr_time-rstart_time);fflush(stdout);
                   1922:     fprintf(ficlog,"\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret,rcurr_time-rlast_time, rcurr_time-rstart_time); fflush(ficlog);
                   1923: /*     fprintf(ficrespow,"%d %.12f %ld",*iter,*fret,curr_time.tm_sec-start_time.tm_sec); */
1.192     brouard  1924:     for (i=1;i<=n;i++) {
1.126     brouard  1925:       printf(" %d %.12f",i, p[i]);
                   1926:       fprintf(ficlog," %d %.12lf",i, p[i]);
                   1927:       fprintf(ficrespow," %.12lf", p[i]);
                   1928:     }
                   1929:     printf("\n");
                   1930:     fprintf(ficlog,"\n");
                   1931:     fprintf(ficrespow,"\n");fflush(ficrespow);
                   1932:     if(*iter <=3){
1.157     brouard  1933:       tml = *localtime(&rcurr_time);
                   1934:       strcpy(strcurr,asctime(&tml));
                   1935:       rforecast_time=rcurr_time; 
1.126     brouard  1936:       itmp = strlen(strcurr);
                   1937:       if(strcurr[itmp-1]=='\n')  /* Windows outputs with a new line */
1.224     brouard  1938:                                strcurr[itmp-1]='\0';
1.162     brouard  1939:       printf("\nConsidering the time needed for the last iteration #%d: %ld seconds,\n",*iter,rcurr_time-rlast_time);
1.157     brouard  1940:       fprintf(ficlog,"\nConsidering the time needed for this last iteration #%d: %ld seconds,\n",*iter,rcurr_time-rlast_time);
1.126     brouard  1941:       for(niterf=10;niterf<=30;niterf+=10){
1.224     brouard  1942:                                rforecast_time=rcurr_time+(niterf-*iter)*(rcurr_time-rlast_time);
                   1943:                                forecast_time = *localtime(&rforecast_time);
                   1944:                                strcpy(strfor,asctime(&forecast_time));
                   1945:                                itmp = strlen(strfor);
                   1946:                                if(strfor[itmp-1]=='\n')
                   1947:                                        strfor[itmp-1]='\0';
                   1948:                                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);
                   1949:                                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  1950:       }
                   1951:     }
1.187     brouard  1952:     for (i=1;i<=n;i++) { /* For each direction i */
                   1953:       for (j=1;j<=n;j++) xit[j]=xi[j][i]; /* Directions stored from previous iteration with previous scales */
1.126     brouard  1954:       fptt=(*fret); 
                   1955: #ifdef DEBUG
1.203     brouard  1956:       printf("fret=%lf, %lf, %lf \n", *fret, *fret, *fret);
                   1957:       fprintf(ficlog, "fret=%lf, %lf, %lf \n", *fret, *fret, *fret);
1.126     brouard  1958: #endif
1.203     brouard  1959:       printf("%d",i);fflush(stdout); /* print direction (parameter) i */
1.126     brouard  1960:       fprintf(ficlog,"%d",i);fflush(ficlog);
1.224     brouard  1961: #ifdef LINMINORIGINAL
1.188     brouard  1962:       linmin(p,xit,n,fret,func); /* Point p[n]. xit[n] has been loaded for direction i as input.*/
1.224     brouard  1963: #else
                   1964:       linmin(p,xit,n,fret,func,&flat); /* Point p[n]. xit[n] has been loaded for direction i as input.*/
                   1965:                        flatdir[i]=flat; /* Function is vanishing in that direction i */
                   1966: #endif
                   1967:                        /* Outputs are fret(new point p) p is updated and xit rescaled */
1.188     brouard  1968:       if (fabs(fptt-(*fret)) > del) { /* We are keeping the max gain on each of the n directions */
1.224     brouard  1969:                                /* because that direction will be replaced unless the gain del is small */
                   1970:                                /* in comparison with the 'probable' gain, mu^2, with the last average direction. */
                   1971:                                /* Unless the n directions are conjugate some gain in the determinant may be obtained */
                   1972:                                /* with the new direction. */
                   1973:                                del=fabs(fptt-(*fret)); 
                   1974:                                ibig=i; 
1.126     brouard  1975:       } 
                   1976: #ifdef DEBUG
                   1977:       printf("%d %.12e",i,(*fret));
                   1978:       fprintf(ficlog,"%d %.12e",i,(*fret));
                   1979:       for (j=1;j<=n;j++) {
1.224     brouard  1980:                                xits[j]=FMAX(fabs(p[j]-pt[j]),1.e-5);
                   1981:                                printf(" x(%d)=%.12e",j,xit[j]);
                   1982:                                fprintf(ficlog," x(%d)=%.12e",j,xit[j]);
1.126     brouard  1983:       }
                   1984:       for(j=1;j<=n;j++) {
1.225   ! brouard  1985:                                printf(" p(%d)=%.12e",j,p[j]);
        !          1986:                                fprintf(ficlog," p(%d)=%.12e",j,p[j]);
1.126     brouard  1987:       }
                   1988:       printf("\n");
                   1989:       fprintf(ficlog,"\n");
                   1990: #endif
1.187     brouard  1991:     } /* end loop on each direction i */
                   1992:     /* Convergence test will use last linmin estimation (fret) and compare former iteration (fp) */ 
1.188     brouard  1993:     /* But p and xit have been updated at the end of linmin, *fret corresponds to new p, xit  */
1.187     brouard  1994:     /* New value of last point Pn is not computed, P(n-1) */
1.224     brouard  1995:       for(j=1;j<=n;j++) {
1.225   ! brouard  1996:                                if(flatdir[j] >0){
        !          1997:                                        printf(" p(%d)=%lf flat=%d ",j,p[j],flatdir[j]);
        !          1998:                                        fprintf(ficlog," p(%d)=%lf flat=%d ",j,p[j],flatdir[j]);
        !          1999:                                }
        !          2000:                                /* printf("\n"); */
        !          2001:                                /* fprintf(ficlog,"\n"); */
        !          2002:                        }
1.182     brouard  2003:     if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret))) { /* Did we reach enough precision? */
1.188     brouard  2004:       /* We could compare with a chi^2. chisquare(0.95,ddl=1)=3.84 */
                   2005:       /* By adding age*age in a model, the new -2LL should be lower and the difference follows a */
                   2006:       /* a chisquare statistics with 1 degree. To be significant at the 95% level, it should have */
                   2007:       /* decreased of more than 3.84  */
                   2008:       /* By adding age*age and V1*age the gain (-2LL) should be more than 5.99 (ddl=2) */
                   2009:       /* By using V1+V2+V3, the gain should be  7.82, compared with basic 1+age. */
                   2010:       /* By adding 10 parameters more the gain should be 18.31 */
1.224     brouard  2011:                        
1.188     brouard  2012:       /* Starting the program with initial values given by a former maximization will simply change */
                   2013:       /* the scales of the directions and the directions, because the are reset to canonical directions */
                   2014:       /* Thus the first calls to linmin will give new points and better maximizations until fp-(*fret) is */
                   2015:       /* under the tolerance value. If the tolerance is very small 1.e-9, it could last long.  */
1.126     brouard  2016: #ifdef DEBUG
                   2017:       int k[2],l;
                   2018:       k[0]=1;
                   2019:       k[1]=-1;
                   2020:       printf("Max: %.12e",(*func)(p));
                   2021:       fprintf(ficlog,"Max: %.12e",(*func)(p));
                   2022:       for (j=1;j<=n;j++) {
                   2023:        printf(" %.12e",p[j]);
                   2024:        fprintf(ficlog," %.12e",p[j]);
                   2025:       }
                   2026:       printf("\n");
                   2027:       fprintf(ficlog,"\n");
                   2028:       for(l=0;l<=1;l++) {
                   2029:        for (j=1;j<=n;j++) {
                   2030:          ptt[j]=p[j]+(p[j]-pt[j])*k[l];
                   2031:          printf("l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
                   2032:          fprintf(ficlog,"l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
                   2033:        }
                   2034:        printf("func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
                   2035:        fprintf(ficlog,"func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
                   2036:       }
                   2037: #endif
                   2038: 
1.224     brouard  2039: #ifdef LINMINORIGINAL
                   2040: #else
                   2041:       free_ivector(flatdir,1,n); 
                   2042: #endif
1.126     brouard  2043:       free_vector(xit,1,n); 
                   2044:       free_vector(xits,1,n); 
                   2045:       free_vector(ptt,1,n); 
                   2046:       free_vector(pt,1,n); 
                   2047:       return; 
1.192     brouard  2048:     } /* enough precision */ 
1.126     brouard  2049:     if (*iter == ITMAX) nrerror("powell exceeding maximum iterations."); 
1.181     brouard  2050:     for (j=1;j<=n;j++) { /* Computes the extrapolated point P_0 + 2 (P_n-P_0) */
1.126     brouard  2051:       ptt[j]=2.0*p[j]-pt[j]; 
                   2052:       xit[j]=p[j]-pt[j]; 
                   2053:       pt[j]=p[j]; 
                   2054:     } 
1.181     brouard  2055:     fptt=(*func)(ptt); /* f_3 */
1.224     brouard  2056: #ifdef NODIRECTIONCHANGEDUNTILNITER  /* No change in drections until some iterations are done */
                   2057:                if (*iter <=4) {
1.225   ! brouard  2058: #else
        !          2059: #endif
1.224     brouard  2060: #ifdef POWELLNOF3INFF1TEST    /* skips test F3 <F1 */
1.192     brouard  2061: #else
1.161     brouard  2062:     if (fptt < fp) { /* If extrapolated point is better, decide if we keep that new direction or not */
1.192     brouard  2063: #endif
1.162     brouard  2064:       /* (x1 f1=fp), (x2 f2=*fret), (x3 f3=fptt), (xm fm) */
1.161     brouard  2065:       /* From x1 (P0) distance of x2 is at h and x3 is 2h */
1.162     brouard  2066:       /* Let f"(x2) be the 2nd derivative equal everywhere.  */
                   2067:       /* Then the parabolic through (x1,f1), (x2,f2) and (x3,f3) */
                   2068:       /* will reach at f3 = fm + h^2/2 f"m  ; f" = (f1 -2f2 +f3 ) / h**2 */
1.224     brouard  2069:       /* Conditional for using this new direction is that mu^2 = (f1-2f2+f3)^2 /2 < del or directest <0 */
                   2070:       /* also  lamda^2=(f1-f2)^2/mu² is a parasite solution of powell */
                   2071:       /* For powell, inclusion of this average direction is only if t(del)<0 or del inbetween mu^2 and lambda^2 */
1.161     brouard  2072:       /* t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)-del*SQR(fp-fptt); */
1.224     brouard  2073:       /*  Even if f3 <f1, directest can be negative and t >0 */
                   2074:       /* mu² and del² are equal when f3=f1 */
                   2075:                        /* f3 < f1 : mu² < del <= lambda^2 both test are equivalent */
                   2076:                        /* f3 < f1 : mu² < lambda^2 < del then directtest is negative and powell t is positive */
                   2077:                        /* f3 > f1 : lambda² < mu^2 < del then t is negative and directest >0  */
                   2078:                        /* f3 > f1 : lambda² < del < mu^2 then t is positive and directest >0  */
1.183     brouard  2079: #ifdef NRCORIGINAL
                   2080:       t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)- del*SQR(fp-fptt); /* Original Numerical Recipes in C*/
                   2081: #else
                   2082:       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  2083:       t= t- del*SQR(fp-fptt);
1.183     brouard  2084: #endif
1.202     brouard  2085:       directest = fp-2.0*(*fret)+fptt - 2.0 * del; /* If delta was big enough we change it for a new direction */
1.161     brouard  2086: #ifdef DEBUG
1.181     brouard  2087:       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);
                   2088:       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  2089:       printf("t3= %.12lf, t4= %.12lf, t3*= %.12lf, t4*= %.12lf\n",SQR(fp-(*fret)-del),SQR(fp-fptt),
                   2090:             (fp-(*fret)-del)*(fp-(*fret)-del),(fp-fptt)*(fp-fptt));
                   2091:       fprintf(ficlog,"t3= %.12lf, t4= %.12lf, t3*= %.12lf, t4*= %.12lf\n",SQR(fp-(*fret)-del),SQR(fp-fptt),
                   2092:             (fp-(*fret)-del)*(fp-(*fret)-del),(fp-fptt)*(fp-fptt));
                   2093:       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);
                   2094:       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);
                   2095: #endif
1.183     brouard  2096: #ifdef POWELLORIGINAL
                   2097:       if (t < 0.0) { /* Then we use it for new direction */
                   2098: #else
1.182     brouard  2099:       if (directest*t < 0.0) { /* Contradiction between both tests */
1.224     brouard  2100:                                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  2101:         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  2102:         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  2103:         fprintf(ficlog,"f1-2f2+f3= %.12lf, f1-f2-del= %.12lf, f1-f3= %.12lf\n",fp-2.0*(*fret)+fptt, fp -(*fret) -del, fp-fptt);
                   2104:       } 
1.181     brouard  2105:       if (directest < 0.0) { /* Then we use it for new direction */
                   2106: #endif
1.191     brouard  2107: #ifdef DEBUGLINMIN
1.224     brouard  2108:                                printf("Before linmin in direction P%d-P0\n",n);
                   2109:                                for (j=1;j<=n;j++) {
                   2110:                                        printf(" Before xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   2111:                                        fprintf(ficlog," Before xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   2112:                                        if(j % ncovmodel == 0){
                   2113:                                                printf("\n");
                   2114:                                                fprintf(ficlog,"\n");
                   2115:                                        }
                   2116:                                }
                   2117: #endif
                   2118: #ifdef LINMINORIGINAL
                   2119:                                linmin(p,xit,n,fret,func); /* computes minimum on the extrapolated direction: changes p and rescales xit.*/
                   2120: #else
                   2121:                                linmin(p,xit,n,fret,func,&flat); /* computes minimum on the extrapolated direction: changes p and rescales xit.*/
                   2122:                                flatdir[i]=flat; /* Function is vanishing in that direction i */
1.191     brouard  2123: #endif
1.224     brouard  2124: 
1.191     brouard  2125: #ifdef DEBUGLINMIN
1.224     brouard  2126:                                for (j=1;j<=n;j++) { 
                   2127:                                        printf("After xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   2128:                                        fprintf(ficlog,"After xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   2129:                                        if(j % ncovmodel == 0){
                   2130:                                                printf("\n");
                   2131:                                                fprintf(ficlog,"\n");
                   2132:                                        }
                   2133:                                }
                   2134: #endif
                   2135:                                for (j=1;j<=n;j++) { 
                   2136:                                        xi[j][ibig]=xi[j][n]; /* Replace direction with biggest decrease by last direction n */
                   2137:                                        xi[j][n]=xit[j];      /* and this nth direction by the by the average p_0 p_n */
                   2138:                                }
                   2139: #ifdef LINMINORIGINAL
                   2140: #else
1.225   ! brouard  2141:                                for (j=1, flatd=0;j<=n;j++) {
        !          2142:                                        if(flatdir[j]>0)
        !          2143:                                                flatd++;
        !          2144:                                }
        !          2145:                                if(flatd >0){
        !          2146:                                        printf("%d flat directions\n",flatd);
        !          2147:                                        fprintf(ficlog,"%d flat directions\n",flatd);
        !          2148:                                        for (j=1;j<=n;j++) { 
        !          2149:                                                if(flatdir[j]>0){
        !          2150:                                                        printf("%d ",j);
        !          2151:                                                        fprintf(ficlog,"%d ",j);
        !          2152:                                                }
        !          2153:                                        }
        !          2154:                                        printf("\n");
        !          2155:                                        fprintf(ficlog,"\n");
        !          2156:                                }
1.191     brouard  2157: #endif
1.224     brouard  2158:                                printf("Gaining to use new average direction of P0 P%d instead of biggest increase direction %d :\n",n,ibig);
                   2159:                                fprintf(ficlog,"Gaining to use new average direction of P0 P%d instead of biggest increase direction %d :\n",n,ibig);
                   2160:                                
1.126     brouard  2161: #ifdef DEBUG
1.224     brouard  2162:                                printf("Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
                   2163:                                fprintf(ficlog,"Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
                   2164:                                for(j=1;j<=n;j++){
                   2165:                                        printf(" %lf",xit[j]);
                   2166:                                        fprintf(ficlog," %lf",xit[j]);
                   2167:                                }
                   2168:                                printf("\n");
                   2169:                                fprintf(ficlog,"\n");
1.126     brouard  2170: #endif
1.192     brouard  2171:       } /* end of t or directest negative */
1.224     brouard  2172: #ifdef POWELLNOF3INFF1TEST
1.192     brouard  2173: #else
1.162     brouard  2174:     } /* end if (fptt < fp)  */
1.192     brouard  2175: #endif
1.225   ! brouard  2176: #ifdef NODIRECTIONCHANGEDUNTILNITER  /* No change in drections until some iterations are done */
1.224     brouard  2177:                } /*NODIRECTIONCHANGEDUNTILNITER  No change in drections until some iterations are done */
1.225   ! brouard  2178: #else
1.224     brouard  2179: #endif
1.192     brouard  2180:   } /* loop iteration */ 
1.126     brouard  2181: } 
                   2182: 
                   2183: /**** Prevalence limit (stable or period prevalence)  ****************/
                   2184: 
1.203     brouard  2185: double **prevalim(double **prlim, int nlstate, double x[], double age, double **oldm, double **savm, double ftolpl, int *ncvyear, int ij)
1.126     brouard  2186: {
1.218     brouard  2187:   /* Computes the prevalence limit in each live state at age x and for covariate ij by left multiplying the unit
1.203     brouard  2188:      matrix by transitions matrix until convergence is reached with precision ftolpl */
1.206     brouard  2189:   /* Wx= Wx-1 Px-1= Wx-2 Px-2 Px-1  = Wx-n Px-n ... Px-2 Px-1 I */
                   2190:   /* Wx is row vector: population in state 1, population in state 2, population dead */
                   2191:   /* or prevalence in state 1, prevalence in state 2, 0 */
                   2192:   /* newm is the matrix after multiplications, its rows are identical at a factor */
                   2193:   /* Initial matrix pimij */
                   2194:   /* {0.85204250825084937, 0.13044499163996345, 0.017512500109187184, */
                   2195:   /* 0.090851990222114765, 0.88271245433047185, 0.026435555447413338, */
                   2196:   /*  0,                   0                  , 1} */
                   2197:   /*
                   2198:    * and after some iteration: */
                   2199:   /* {0.45504275246439968, 0.42731458730878791, 0.11764266022681241, */
                   2200:   /*  0.45201005341706885, 0.42865420071559901, 0.11933574586733192, */
                   2201:   /*  0,                   0                  , 1} */
                   2202:   /* And prevalence by suppressing the deaths are close to identical rows in prlim: */
                   2203:   /* {0.51571254859325999, 0.4842874514067399, */
                   2204:   /*  0.51326036147820708, 0.48673963852179264} */
                   2205:   /* If we start from prlim again, prlim tends to a constant matrix */
                   2206: 
1.126     brouard  2207:   int i, ii,j,k;
1.209     brouard  2208:   double *min, *max, *meandiff, maxmax,sumnew=0.;
1.145     brouard  2209:   /* double **matprod2(); */ /* test */
1.218     brouard  2210:   double **out, cov[NCOVMAX+1], **pmij(); /* **pmmij is a global variable feeded with oldms etc */
1.126     brouard  2211:   double **newm;
1.209     brouard  2212:   double agefin, delaymax=200. ; /* 100 Max number of years to converge */
1.203     brouard  2213:   int ncvloop=0;
1.169     brouard  2214:   
1.209     brouard  2215:   min=vector(1,nlstate);
                   2216:   max=vector(1,nlstate);
                   2217:   meandiff=vector(1,nlstate);
                   2218: 
1.218     brouard  2219:        /* Starting with matrix unity */
1.126     brouard  2220:   for (ii=1;ii<=nlstate+ndeath;ii++)
                   2221:     for (j=1;j<=nlstate+ndeath;j++){
                   2222:       oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2223:     }
1.169     brouard  2224:   
                   2225:   cov[1]=1.;
                   2226:   
                   2227:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
1.202     brouard  2228:   /* Start at agefin= age, computes the matrix of passage and loops decreasing agefin until convergence is reached */
1.126     brouard  2229:   for(agefin=age-stepm/YEARM; agefin>=age-delaymax; agefin=agefin-stepm/YEARM){
1.202     brouard  2230:     ncvloop++;
1.126     brouard  2231:     newm=savm;
                   2232:     /* Covariates have to be included here again */
1.138     brouard  2233:     cov[2]=agefin;
1.187     brouard  2234:     if(nagesqr==1)
                   2235:       cov[3]= agefin*agefin;;
1.138     brouard  2236:     for (k=1; k<=cptcovn;k++) {
1.200     brouard  2237:       /* cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
1.218     brouard  2238:                        /* Here comes the value of the covariate 'ij' */
1.200     brouard  2239:       cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)];
1.198     brouard  2240:       /* printf("prevalim ij=%d k=%d Tvar[%d]=%d nbcode=%d cov=%lf codtabm(%d,Tvar[%d])=%d \n",ij,k, k, Tvar[k],nbcode[Tvar[k]][codtabm(ij,Tvar[k])],cov[2+k], ij, k, codtabm(ij,Tvar[k])]); */
1.138     brouard  2241:     }
1.186     brouard  2242:     /*wrong? for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
1.200     brouard  2243:     /* for (k=1; k<=cptcovage;k++) cov[2+nagesqr+Tage[k]]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]*cov[2]; */
                   2244:     for (k=1; k<=cptcovage;k++) cov[2+nagesqr+Tage[k]]=nbcode[Tvar[k]][codtabm(ij,k)]*cov[2];
1.186     brouard  2245:     for (k=1; k<=cptcovprod;k++) /* Useless */
1.200     brouard  2246:       /* cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,Tvard[k][1])] * nbcode[Tvard[k][2]][codtabm(ij,Tvard[k][2])]; */
                   2247:       cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * nbcode[Tvard[k][2]][codtabm(ij,k)];
1.138     brouard  2248:     
                   2249:     /*printf("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/
                   2250:     /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/
                   2251:     /*printf("ij=%d cov[3]=%lf \n",ij, cov[3]);*/
1.145     brouard  2252:     /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
                   2253:     /* out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /\* Bug Valgrind *\/ */
1.218     brouard  2254:                /* age and covariate values of ij are in 'cov' */
1.142     brouard  2255:     out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /* Bug Valgrind */
1.138     brouard  2256:     
1.126     brouard  2257:     savm=oldm;
                   2258:     oldm=newm;
1.209     brouard  2259: 
                   2260:     for(j=1; j<=nlstate; j++){
                   2261:       max[j]=0.;
                   2262:       min[j]=1.;
                   2263:     }
                   2264:     for(i=1;i<=nlstate;i++){
                   2265:       sumnew=0;
                   2266:       for(k=1; k<=ndeath; k++) sumnew+=newm[i][nlstate+k];
                   2267:       for(j=1; j<=nlstate; j++){ 
                   2268:        prlim[i][j]= newm[i][j]/(1-sumnew);
                   2269:        max[j]=FMAX(max[j],prlim[i][j]);
                   2270:        min[j]=FMIN(min[j],prlim[i][j]);
                   2271:       }
                   2272:     }
                   2273: 
1.126     brouard  2274:     maxmax=0.;
1.209     brouard  2275:     for(j=1; j<=nlstate; j++){
                   2276:       meandiff[j]=(max[j]-min[j])/(max[j]+min[j])*2.; /* mean difference for each column */
                   2277:       maxmax=FMAX(maxmax,meandiff[j]);
                   2278:       /* 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  2279:     } /* j loop */
1.203     brouard  2280:     *ncvyear= (int)age- (int)agefin;
1.208     brouard  2281:     /* 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  2282:     if(maxmax < ftolpl){
1.209     brouard  2283:       /* printf("maxmax=%lf ncvloop=%ld, age=%d, agefin=%d ncvyear=%d \n", maxmax, ncvloop, (int)age, (int)agefin, *ncvyear); */
                   2284:       free_vector(min,1,nlstate);
                   2285:       free_vector(max,1,nlstate);
                   2286:       free_vector(meandiff,1,nlstate);
1.126     brouard  2287:       return prlim;
                   2288:     }
1.169     brouard  2289:   } /* age loop */
1.208     brouard  2290:     /* After some age loop it doesn't converge */
1.209     brouard  2291:   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  2292: 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  2293:   /* 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); */
                   2294:   free_vector(min,1,nlstate);
                   2295:   free_vector(max,1,nlstate);
                   2296:   free_vector(meandiff,1,nlstate);
1.208     brouard  2297:   
1.169     brouard  2298:   return prlim; /* should not reach here */
1.126     brouard  2299: }
                   2300: 
1.217     brouard  2301: 
                   2302:  /**** Back Prevalence limit (stable or period prevalence)  ****************/
                   2303: 
1.218     brouard  2304:  /* 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) */
                   2305:  /* 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) */
                   2306:  double **bprevalim(double **bprlim, double ***prevacurrent, int nlstate, double x[], double age, double ftolpl, int *ncvyear, int ij)
1.217     brouard  2307: {
1.218     brouard  2308:   /* Computes the prevalence limit in each live state at age x and covariate ij by left multiplying the unit
1.217     brouard  2309:      matrix by transitions matrix until convergence is reached with precision ftolpl */
                   2310:   /* Wx= Wx-1 Px-1= Wx-2 Px-2 Px-1  = Wx-n Px-n ... Px-2 Px-1 I */
                   2311:   /* Wx is row vector: population in state 1, population in state 2, population dead */
                   2312:   /* or prevalence in state 1, prevalence in state 2, 0 */
                   2313:   /* newm is the matrix after multiplications, its rows are identical at a factor */
                   2314:   /* Initial matrix pimij */
                   2315:   /* {0.85204250825084937, 0.13044499163996345, 0.017512500109187184, */
                   2316:   /* 0.090851990222114765, 0.88271245433047185, 0.026435555447413338, */
                   2317:   /*  0,                   0                  , 1} */
                   2318:   /*
                   2319:    * and after some iteration: */
                   2320:   /* {0.45504275246439968, 0.42731458730878791, 0.11764266022681241, */
                   2321:   /*  0.45201005341706885, 0.42865420071559901, 0.11933574586733192, */
                   2322:   /*  0,                   0                  , 1} */
                   2323:   /* And prevalence by suppressing the deaths are close to identical rows in prlim: */
                   2324:   /* {0.51571254859325999, 0.4842874514067399, */
                   2325:   /*  0.51326036147820708, 0.48673963852179264} */
                   2326:   /* If we start from prlim again, prlim tends to a constant matrix */
                   2327: 
                   2328:   int i, ii,j,k;
                   2329:   double *min, *max, *meandiff, maxmax,sumnew=0.;
                   2330:   /* double **matprod2(); */ /* test */
                   2331:   double **out, cov[NCOVMAX+1], **bmij();
                   2332:   double **newm;
1.218     brouard  2333:   double        **dnewm, **doldm, **dsavm;  /* for use */
                   2334:   double        **oldm, **savm;  /* for use */
                   2335: 
1.217     brouard  2336:   double agefin, delaymax=200. ; /* 100 Max number of years to converge */
                   2337:   int ncvloop=0;
                   2338:   
                   2339:   min=vector(1,nlstate);
                   2340:   max=vector(1,nlstate);
                   2341:   meandiff=vector(1,nlstate);
                   2342: 
1.218     brouard  2343:        dnewm=ddnewms; doldm=ddoldms; dsavm=ddsavms;
                   2344:        oldm=oldms; savm=savms;
                   2345: 
                   2346:        /* Starting with matrix unity */
                   2347:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   2348:                for (j=1;j<=nlstate+ndeath;j++){
1.217     brouard  2349:       oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2350:     }
                   2351:   
                   2352:   cov[1]=1.;
                   2353:   
                   2354:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
                   2355:   /* Start at agefin= age, computes the matrix of passage and loops decreasing agefin until convergence is reached */
1.218     brouard  2356:   /* for(agefin=age+stepm/YEARM; agefin<=age+delaymax; agefin=agefin+stepm/YEARM){ /\* A changer en age *\/ */
                   2357:   for(agefin=age; agefin<AGESUP; agefin=agefin+stepm/YEARM){ /* A changer en age */
1.217     brouard  2358:     ncvloop++;
1.218     brouard  2359:     newm=savm; /* oldm should be kept from previous iteration or unity at start */
                   2360:                /* newm points to the allocated table savm passed by the function it can be written, savm could be reallocated */
1.217     brouard  2361:     /* Covariates have to be included here again */
                   2362:     cov[2]=agefin;
                   2363:     if(nagesqr==1)
                   2364:       cov[3]= agefin*agefin;;
                   2365:     for (k=1; k<=cptcovn;k++) {
                   2366:       /* cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
                   2367:       cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)];
                   2368:       /* 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])]); */
                   2369:     }
                   2370:     /*wrong? for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
                   2371:     /* for (k=1; k<=cptcovage;k++) cov[2+nagesqr+Tage[k]]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]*cov[2]; */
                   2372:     for (k=1; k<=cptcovage;k++) cov[2+nagesqr+Tage[k]]=nbcode[Tvar[k]][codtabm(ij,k)]*cov[2];
                   2373:     for (k=1; k<=cptcovprod;k++) /* Useless */
                   2374:       /* cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,Tvard[k][1])] * nbcode[Tvard[k][2]][codtabm(ij,Tvard[k][2])]; */
                   2375:       cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * nbcode[Tvard[k][2]][codtabm(ij,k)];
                   2376:     
                   2377:     /*printf("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/
                   2378:     /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/
                   2379:     /*printf("ij=%d cov[3]=%lf \n",ij, cov[3]);*/
                   2380:     /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
                   2381:     /* out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /\* Bug Valgrind *\/ */
1.218     brouard  2382:                /* ij should be linked to the correct index of cov */
                   2383:                /* age and covariate values ij are in 'cov', but we need to pass
                   2384:                 * ij for the observed prevalence at age and status and covariate
                   2385:                 * number:  prevacurrent[(int)agefin][ii][ij]
                   2386:                 */
                   2387:     /* 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 *\/ */
                   2388:     /* 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 *\/ */
                   2389:     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  2390:     savm=oldm;
                   2391:     oldm=newm;
                   2392:     for(j=1; j<=nlstate; j++){
                   2393:       max[j]=0.;
                   2394:       min[j]=1.;
                   2395:     }
                   2396:     for(j=1; j<=nlstate; j++){ 
                   2397:       for(i=1;i<=nlstate;i++){
1.218     brouard  2398:                                /* bprlim[i][j]= newm[i][j]/(1-sumnew); */
                   2399:                                bprlim[i][j]= newm[i][j];
                   2400:                                max[i]=FMAX(max[i],bprlim[i][j]); /* Max in line */
                   2401:                                min[i]=FMIN(min[i],bprlim[i][j]);
1.217     brouard  2402:       }
                   2403:     }
1.218     brouard  2404:                
1.217     brouard  2405:     maxmax=0.;
                   2406:     for(i=1; i<=nlstate; i++){
                   2407:       meandiff[i]=(max[i]-min[i])/(max[i]+min[i])*2.; /* mean difference for each column */
                   2408:       maxmax=FMAX(maxmax,meandiff[i]);
                   2409:       /* 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); */
                   2410:     } /* j loop */
                   2411:     *ncvyear= -( (int)age- (int)agefin);
1.218     brouard  2412:     /* printf("Back maxmax=%lf ncvloop=%d, age=%d, agefin=%d ncvyear=%d \n", maxmax, ncvloop, (int)age, (int)agefin, *ncvyear);*/
1.217     brouard  2413:     if(maxmax < ftolpl){
1.220     brouard  2414:       /* printf("OK Back maxmax=%lf ncvloop=%d, age=%d, agefin=%d ncvyear=%d \n", maxmax, ncvloop, (int)age, (int)agefin, *ncvyear); */
1.217     brouard  2415:       free_vector(min,1,nlstate);
                   2416:       free_vector(max,1,nlstate);
                   2417:       free_vector(meandiff,1,nlstate);
                   2418:       return bprlim;
                   2419:     }
                   2420:   } /* age loop */
                   2421:     /* After some age loop it doesn't converge */
                   2422:   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\
                   2423: 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);
                   2424:   /* 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); */
                   2425:   free_vector(min,1,nlstate);
                   2426:   free_vector(max,1,nlstate);
                   2427:   free_vector(meandiff,1,nlstate);
                   2428:   
                   2429:   return bprlim; /* should not reach here */
                   2430: }
                   2431: 
1.126     brouard  2432: /*************** transition probabilities ***************/ 
                   2433: 
                   2434: double **pmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )
                   2435: {
1.138     brouard  2436:   /* According to parameters values stored in x and the covariate's values stored in cov,
                   2437:      computes the probability to be observed in state j being in state i by appying the
                   2438:      model to the ncovmodel covariates (including constant and age).
                   2439:      lnpijopii=ln(pij/pii)= aij+bij*age+cij*v1+dij*v2+... = sum_nc=1^ncovmodel xij(nc)*cov[nc]
                   2440:      and, according on how parameters are entered, the position of the coefficient xij(nc) of the
                   2441:      ncth covariate in the global vector x is given by the formula:
                   2442:      j<i nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel
                   2443:      j>=i nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel
                   2444:      Computes ln(pij/pii) (lnpijopii), deduces pij/pii by exponentiation,
                   2445:      sums on j different of i to get 1-pii/pii, deduces pii, and then all pij.
                   2446:      Outputs ps[i][j] the probability to be observed in j being in j according to
                   2447:      the values of the covariates cov[nc] and corresponding parameter values x[nc+shiftij]
                   2448:   */
                   2449:   double s1, lnpijopii;
1.126     brouard  2450:   /*double t34;*/
1.164     brouard  2451:   int i,j, nc, ii, jj;
1.126     brouard  2452: 
1.223     brouard  2453:   for(i=1; i<= nlstate; i++){
                   2454:     for(j=1; j<i;j++){
                   2455:       for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
                   2456:        /*lnpijopii += param[i][j][nc]*cov[nc];*/
                   2457:        lnpijopii += x[nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel]*cov[nc];
                   2458:        /*       printf("Int j<i s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
                   2459:       }
                   2460:       ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
                   2461:       /*       printf("s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
                   2462:     }
                   2463:     for(j=i+1; j<=nlstate+ndeath;j++){
                   2464:       for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
                   2465:        /*lnpijopii += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];*/
                   2466:        lnpijopii += x[nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel]*cov[nc];
                   2467:        /*        printf("Int j>i s1=%.17e, lnpijopii=%.17e %lx %lx\n",s1,lnpijopii,s1,lnpijopii); */
                   2468:       }
                   2469:       ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
                   2470:     }
                   2471:   }
1.218     brouard  2472:   
1.223     brouard  2473:   for(i=1; i<= nlstate; i++){
                   2474:     s1=0;
                   2475:     for(j=1; j<i; j++){
                   2476:       s1+=exp(ps[i][j]); /* In fact sums pij/pii */
                   2477:       /*printf("debug1 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
                   2478:     }
                   2479:     for(j=i+1; j<=nlstate+ndeath; j++){
                   2480:       s1+=exp(ps[i][j]); /* In fact sums pij/pii */
                   2481:       /*printf("debug2 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
                   2482:     }
                   2483:     /* s1= sum_{j<>i} pij/pii=(1-pii)/pii and thus pii is known from s1 */
                   2484:     ps[i][i]=1./(s1+1.);
                   2485:     /* Computing other pijs */
                   2486:     for(j=1; j<i; j++)
                   2487:       ps[i][j]= exp(ps[i][j])*ps[i][i];
                   2488:     for(j=i+1; j<=nlstate+ndeath; j++)
                   2489:       ps[i][j]= exp(ps[i][j])*ps[i][i];
                   2490:     /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */
                   2491:   } /* end i */
1.218     brouard  2492:   
1.223     brouard  2493:   for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){
                   2494:     for(jj=1; jj<= nlstate+ndeath; jj++){
                   2495:       ps[ii][jj]=0;
                   2496:       ps[ii][ii]=1;
                   2497:     }
                   2498:   }
1.218     brouard  2499:   
                   2500:   
1.223     brouard  2501:   /* for(ii=1; ii<= nlstate+ndeath; ii++){ */
                   2502:   /*   for(jj=1; jj<= nlstate+ndeath; jj++){ */
                   2503:   /*   printf(" pmij  ps[%d][%d]=%lf ",ii,jj,ps[ii][jj]); */
                   2504:   /*   } */
                   2505:   /*   printf("\n "); */
                   2506:   /* } */
                   2507:   /* printf("\n ");printf("%lf ",cov[2]);*/
                   2508:   /*
                   2509:     for(i=1; i<= npar; i++) printf("%f ",x[i]);
1.218     brouard  2510:                goto end;*/
1.223     brouard  2511:   return ps;
1.126     brouard  2512: }
                   2513: 
1.218     brouard  2514: /*************** backward transition probabilities ***************/ 
                   2515: 
                   2516:  /* 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 ) */
                   2517: /* double **bmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate,  double ***prevacurrent, double ***dnewm, double **doldm, double **dsavm, int ij ) */
                   2518:  double **bmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate,  double ***prevacurrent, int ij )
                   2519: {
1.222     brouard  2520:   /* Computes the backward probability at age agefin and covariate ij
                   2521:    * and returns in **ps as well as **bmij.
                   2522:    */
1.218     brouard  2523:   int i, ii, j,k;
1.222     brouard  2524:   
                   2525:   double **out, **pmij();
                   2526:   double sumnew=0.;
1.218     brouard  2527:   double agefin;
1.222     brouard  2528:   
                   2529:   double **dnewm, **dsavm, **doldm;
                   2530:   double **bbmij;
                   2531:   
1.218     brouard  2532:   doldm=ddoldms; /* global pointers */
1.222     brouard  2533:   dnewm=ddnewms;
                   2534:   dsavm=ddsavms;
                   2535:   
                   2536:   agefin=cov[2];
                   2537:   /* bmij *//* age is cov[2], ij is included in cov, but we need for
                   2538:      the observed prevalence (with this covariate ij) */
                   2539:   dsavm=pmij(pmmij,cov,ncovmodel,x,nlstate);
                   2540:   /* We do have the matrix Px in savm  and we need pij */
                   2541:   for (j=1;j<=nlstate+ndeath;j++){
                   2542:     sumnew=0.; /* w1 p11 + w2 p21 only on live states */
                   2543:     for (ii=1;ii<=nlstate;ii++){
                   2544:       sumnew+=dsavm[ii][j]*prevacurrent[(int)agefin][ii][ij];
                   2545:     } /* sumnew is (N11+N21)/N..= N.1/N.. = sum on i of w_i pij */
                   2546:     for (ii=1;ii<=nlstate+ndeath;ii++){
                   2547:       if(sumnew >= 1.e-10){
                   2548:        /* if(agefin >= agemaxpar && agefin <= agemaxpar+stepm/YEARM){ */
                   2549:        /*      doldm[ii][j]=(ii==j ? 1./sumnew : 0.0); */
                   2550:        /* }else if(agefin >= agemaxpar+stepm/YEARM){ */
                   2551:        /*      doldm[ii][j]=(ii==j ? 1./sumnew : 0.0); */
                   2552:        /* }else */
                   2553:        doldm[ii][j]=(ii==j ? 1./sumnew : 0.0);
                   2554:       }else{
                   2555:        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);
                   2556:       }
                   2557:     } /*End ii */
                   2558:   } /* End j, At the end doldm is diag[1/(w_1p1i+w_2 p2i)] */
                   2559:   /* left Product of this diag matrix by dsavm=Px (newm=dsavm*doldm) */
                   2560:   bbmij=matprod2(dnewm, dsavm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, doldm); /* Bug Valgrind */
                   2561:   /* dsavm=doldm; /\* dsavm is now diag [1/(w_1p1i+w_2 p2i)] but can be overwritten*\/ */
                   2562:   /* doldm=dnewm; /\* doldm is now Px * diag [1/(w_1p1i+w_2 p2i)] *\/ */
                   2563:   /* dnewm=dsavm; /\* doldm is now Px * diag [1/(w_1p1i+w_2 p2i)] *\/ */
                   2564:   /* left Product of this matrix by diag matrix of prevalences (savm) */
                   2565:   for (j=1;j<=nlstate+ndeath;j++){
                   2566:     for (ii=1;ii<=nlstate+ndeath;ii++){
                   2567:       dsavm[ii][j]=(ii==j ? prevacurrent[(int)agefin][ii][ij] : 0.0);
                   2568:     }
                   2569:   } /* End j, At the end oldm is diag[1/(w_1p1i+w_2 p2i)] */
                   2570:   ps=matprod2(doldm, dsavm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, dnewm); /* Bug Valgrind */
                   2571:   /* newm or out is now diag[w_i] * Px * diag [1/(w_1p1i+w_2 p2i)] */
                   2572:   /* end bmij */
                   2573:   return ps; 
1.218     brouard  2574: }
1.217     brouard  2575: /*************** transition probabilities ***************/ 
                   2576: 
1.218     brouard  2577: double **bpmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )
1.217     brouard  2578: {
                   2579:   /* According to parameters values stored in x and the covariate's values stored in cov,
                   2580:      computes the probability to be observed in state j being in state i by appying the
                   2581:      model to the ncovmodel covariates (including constant and age).
                   2582:      lnpijopii=ln(pij/pii)= aij+bij*age+cij*v1+dij*v2+... = sum_nc=1^ncovmodel xij(nc)*cov[nc]
                   2583:      and, according on how parameters are entered, the position of the coefficient xij(nc) of the
                   2584:      ncth covariate in the global vector x is given by the formula:
                   2585:      j<i nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel
                   2586:      j>=i nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel
                   2587:      Computes ln(pij/pii) (lnpijopii), deduces pij/pii by exponentiation,
                   2588:      sums on j different of i to get 1-pii/pii, deduces pii, and then all pij.
                   2589:      Outputs ps[i][j] the probability to be observed in j being in j according to
                   2590:      the values of the covariates cov[nc] and corresponding parameter values x[nc+shiftij]
                   2591:   */
                   2592:   double s1, lnpijopii;
                   2593:   /*double t34;*/
                   2594:   int i,j, nc, ii, jj;
                   2595: 
1.218     brouard  2596:        for(i=1; i<= nlstate; i++){
                   2597:                for(j=1; j<i;j++){
                   2598:                        for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
                   2599:                                /*lnpijopii += param[i][j][nc]*cov[nc];*/
                   2600:                                lnpijopii += x[nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel]*cov[nc];
                   2601:                                /*       printf("Int j<i s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
                   2602:                        }
                   2603:                        ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
                   2604:                        /*      printf("s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
                   2605:                }
                   2606:                for(j=i+1; j<=nlstate+ndeath;j++){
                   2607:                        for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
                   2608:                                /*lnpijopii += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];*/
                   2609:                                lnpijopii += x[nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel]*cov[nc];
                   2610:                                /*        printf("Int j>i s1=%.17e, lnpijopii=%.17e %lx %lx\n",s1,lnpijopii,s1,lnpijopii); */
                   2611:                        }
                   2612:                        ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
                   2613:                }
                   2614:        }
                   2615:        
                   2616:        for(i=1; i<= nlstate; i++){
                   2617:                s1=0;
                   2618:                for(j=1; j<i; j++){
                   2619:                        s1+=exp(ps[i][j]); /* In fact sums pij/pii */
                   2620:                        /*printf("debug1 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
                   2621:                }
                   2622:                for(j=i+1; j<=nlstate+ndeath; j++){
                   2623:                        s1+=exp(ps[i][j]); /* In fact sums pij/pii */
                   2624:                        /*printf("debug2 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
                   2625:                }
                   2626:                /* s1= sum_{j<>i} pij/pii=(1-pii)/pii and thus pii is known from s1 */
                   2627:                ps[i][i]=1./(s1+1.);
                   2628:                /* Computing other pijs */
                   2629:                for(j=1; j<i; j++)
                   2630:                        ps[i][j]= exp(ps[i][j])*ps[i][i];
                   2631:                for(j=i+1; j<=nlstate+ndeath; j++)
                   2632:                        ps[i][j]= exp(ps[i][j])*ps[i][i];
                   2633:                /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */
                   2634:        } /* end i */
                   2635:        
                   2636:        for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){
                   2637:                for(jj=1; jj<= nlstate+ndeath; jj++){
                   2638:                        ps[ii][jj]=0;
                   2639:                        ps[ii][ii]=1;
                   2640:                }
                   2641:        }
                   2642:        /* Added for backcast */ /* Transposed matrix too */
                   2643:        for(jj=1; jj<= nlstate+ndeath; jj++){
                   2644:                s1=0.;
                   2645:                for(ii=1; ii<= nlstate+ndeath; ii++){
                   2646:                        s1+=ps[ii][jj];
                   2647:                }
                   2648:                for(ii=1; ii<= nlstate; ii++){
                   2649:                        ps[ii][jj]=ps[ii][jj]/s1;
                   2650:                }
                   2651:        }
                   2652:        /* Transposition */
                   2653:        for(jj=1; jj<= nlstate+ndeath; jj++){
                   2654:                for(ii=jj; ii<= nlstate+ndeath; ii++){
                   2655:                        s1=ps[ii][jj];
                   2656:                        ps[ii][jj]=ps[jj][ii];
                   2657:                        ps[jj][ii]=s1;
                   2658:                }
                   2659:        }
                   2660:        /* for(ii=1; ii<= nlstate+ndeath; ii++){ */
                   2661:        /*   for(jj=1; jj<= nlstate+ndeath; jj++){ */
                   2662:        /*      printf(" pmij  ps[%d][%d]=%lf ",ii,jj,ps[ii][jj]); */
                   2663:        /*   } */
                   2664:        /*   printf("\n "); */
                   2665:        /* } */
                   2666:        /* printf("\n ");printf("%lf ",cov[2]);*/
                   2667:        /*
                   2668:                for(i=1; i<= npar; i++) printf("%f ",x[i]);
                   2669:                goto end;*/
                   2670:        return ps;
1.217     brouard  2671: }
                   2672: 
                   2673: 
1.126     brouard  2674: /**************** Product of 2 matrices ******************/
                   2675: 
1.145     brouard  2676: double **matprod2(double **out, double **in,int nrl, int nrh, int ncl, int nch, int ncolol, int ncoloh, double **b)
1.126     brouard  2677: {
                   2678:   /* Computes the matrix product of in(1,nrh-nrl+1)(1,nch-ncl+1) times
                   2679:      b(1,nch-ncl+1)(1,ncoloh-ncolol+1) into out(...) */
                   2680:   /* in, b, out are matrice of pointers which should have been initialized 
                   2681:      before: only the contents of out is modified. The function returns
                   2682:      a pointer to pointers identical to out */
1.145     brouard  2683:   int i, j, k;
1.126     brouard  2684:   for(i=nrl; i<= nrh; i++)
1.145     brouard  2685:     for(k=ncolol; k<=ncoloh; k++){
                   2686:       out[i][k]=0.;
                   2687:       for(j=ncl; j<=nch; j++)
                   2688:        out[i][k] +=in[i][j]*b[j][k];
                   2689:     }
1.126     brouard  2690:   return out;
                   2691: }
                   2692: 
                   2693: 
                   2694: /************* Higher Matrix Product ***************/
                   2695: 
                   2696: double ***hpxij(double ***po, int nhstepm, double age, int hstepm, double *x, int nlstate, int stepm, double **oldm, double **savm, int ij )
                   2697: {
1.218     brouard  2698:   /* Computes the transition matrix starting at age 'age' and combination of covariate values corresponding to ij over 
1.126     brouard  2699:      'nhstepm*hstepm*stepm' months (i.e. until
                   2700:      age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying 
                   2701:      nhstepm*hstepm matrices. 
                   2702:      Output is stored in matrix po[i][j][h] for h every 'hstepm' step 
                   2703:      (typically every 2 years instead of every month which is too big 
                   2704:      for the memory).
                   2705:      Model is determined by parameters x and covariates have to be 
                   2706:      included manually here. 
                   2707: 
                   2708:      */
                   2709: 
                   2710:   int i, j, d, h, k;
1.131     brouard  2711:   double **out, cov[NCOVMAX+1];
1.126     brouard  2712:   double **newm;
1.187     brouard  2713:   double agexact;
1.214     brouard  2714:   double agebegin, ageend;
1.126     brouard  2715: 
                   2716:   /* Hstepm could be zero and should return the unit matrix */
                   2717:   for (i=1;i<=nlstate+ndeath;i++)
                   2718:     for (j=1;j<=nlstate+ndeath;j++){
                   2719:       oldm[i][j]=(i==j ? 1.0 : 0.0);
                   2720:       po[i][j][0]=(i==j ? 1.0 : 0.0);
                   2721:     }
                   2722:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
                   2723:   for(h=1; h <=nhstepm; h++){
                   2724:     for(d=1; d <=hstepm; d++){
                   2725:       newm=savm;
                   2726:       /* Covariates have to be included here again */
                   2727:       cov[1]=1.;
1.214     brouard  2728:       agexact=age+((h-1)*hstepm + (d-1))*stepm/YEARM; /* age just before transition */
1.187     brouard  2729:       cov[2]=agexact;
                   2730:       if(nagesqr==1)
1.218     brouard  2731:                                cov[3]= agexact*agexact;
1.131     brouard  2732:       for (k=1; k<=cptcovn;k++) 
1.218     brouard  2733:                                cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)];
                   2734:                        /* cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
1.186     brouard  2735:       for (k=1; k<=cptcovage;k++) /* Should start at cptcovn+1 */
1.218     brouard  2736:                                /* cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
                   2737:                                cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
                   2738:                        /* cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,Tvar[Tage[k]])]*cov[2]; */
1.145     brouard  2739:       for (k=1; k<=cptcovprod;k++) /* Useless because included in cptcovn */
1.218     brouard  2740:                                cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)]*nbcode[Tvard[k][2]][codtabm(ij,k)];
                   2741:                        /* cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,Tvard[k][1])]*nbcode[Tvard[k][2]][codtabm(ij,Tvard[k][2])]; */
1.126     brouard  2742: 
                   2743: 
                   2744:       /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/
                   2745:       /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/
1.218     brouard  2746:                        /* right multiplication of oldm by the current matrix */
1.126     brouard  2747:       out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, 
                   2748:                   pmij(pmmij,cov,ncovmodel,x,nlstate));
1.217     brouard  2749:       /* if((int)age == 70){ */
                   2750:       /*       printf(" Forward hpxij age=%d agexact=%f d=%d nhstepm=%d hstepm=%d\n", (int) age, agexact, d, nhstepm, hstepm); */
                   2751:       /*       for(i=1; i<=nlstate+ndeath; i++) { */
                   2752:       /*         printf("%d pmmij ",i); */
                   2753:       /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   2754:       /*           printf("%f ",pmmij[i][j]); */
                   2755:       /*         } */
                   2756:       /*         printf(" oldm "); */
                   2757:       /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   2758:       /*           printf("%f ",oldm[i][j]); */
                   2759:       /*         } */
                   2760:       /*         printf("\n"); */
                   2761:       /*       } */
                   2762:       /* } */
1.126     brouard  2763:       savm=oldm;
                   2764:       oldm=newm;
                   2765:     }
                   2766:     for(i=1; i<=nlstate+ndeath; i++)
                   2767:       for(j=1;j<=nlstate+ndeath;j++) {
1.218     brouard  2768:                                po[i][j][h]=newm[i][j];
                   2769:                                /*if(h==nhstepm) printf("po[%d][%d][%d]=%f ",i,j,h,po[i][j][h]);*/
1.126     brouard  2770:       }
1.128     brouard  2771:     /*printf("h=%d ",h);*/
1.126     brouard  2772:   } /* end h */
1.218     brouard  2773:        /*     printf("\n H=%d \n",h); */
1.126     brouard  2774:   return po;
                   2775: }
                   2776: 
1.217     brouard  2777: /************* Higher Back Matrix Product ***************/
1.218     brouard  2778: /* 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  2779: double ***hbxij(double ***po, int nhstepm, double age, int hstepm, double *x, double ***prevacurrent, int nlstate, int stepm, int ij )
1.217     brouard  2780: {
1.218     brouard  2781:   /* Computes the transition matrix starting at age 'age' over
1.217     brouard  2782:      'nhstepm*hstepm*stepm' months (i.e. until
1.218     brouard  2783:      age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying
                   2784:      nhstepm*hstepm matrices.
                   2785:      Output is stored in matrix po[i][j][h] for h every 'hstepm' step
                   2786:      (typically every 2 years instead of every month which is too big
1.217     brouard  2787:      for the memory).
1.218     brouard  2788:      Model is determined by parameters x and covariates have to be
                   2789:      included manually here.
1.217     brouard  2790: 
1.222     brouard  2791:   */
1.217     brouard  2792: 
                   2793:   int i, j, d, h, k;
                   2794:   double **out, cov[NCOVMAX+1];
                   2795:   double **newm;
                   2796:   double agexact;
                   2797:   double agebegin, ageend;
1.222     brouard  2798:   double **oldm, **savm;
1.217     brouard  2799: 
1.222     brouard  2800:   oldm=oldms;savm=savms;
1.217     brouard  2801:   /* Hstepm could be zero and should return the unit matrix */
                   2802:   for (i=1;i<=nlstate+ndeath;i++)
                   2803:     for (j=1;j<=nlstate+ndeath;j++){
                   2804:       oldm[i][j]=(i==j ? 1.0 : 0.0);
                   2805:       po[i][j][0]=(i==j ? 1.0 : 0.0);
                   2806:     }
                   2807:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
                   2808:   for(h=1; h <=nhstepm; h++){
                   2809:     for(d=1; d <=hstepm; d++){
                   2810:       newm=savm;
                   2811:       /* Covariates have to be included here again */
                   2812:       cov[1]=1.;
                   2813:       agexact=age-((h-1)*hstepm + (d-1))*stepm/YEARM; /* age just before transition */
                   2814:       /* agexact=age+((h-1)*hstepm + (d-1))*stepm/YEARM; /\* age just before transition *\/ */
                   2815:       cov[2]=agexact;
                   2816:       if(nagesqr==1)
1.222     brouard  2817:        cov[3]= agexact*agexact;
1.218     brouard  2818:       for (k=1; k<=cptcovn;k++)
1.222     brouard  2819:        cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)];
                   2820:       /* cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
1.217     brouard  2821:       for (k=1; k<=cptcovage;k++) /* Should start at cptcovn+1 */
1.222     brouard  2822:        /* cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
                   2823:        cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
                   2824:       /* cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,Tvar[Tage[k]])]*cov[2]; */
1.217     brouard  2825:       for (k=1; k<=cptcovprod;k++) /* Useless because included in cptcovn */
1.222     brouard  2826:        cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)]*nbcode[Tvard[k][2]][codtabm(ij,k)];
                   2827:       /* 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  2828:                        
                   2829:                        
1.217     brouard  2830:       /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/
                   2831:       /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/
1.218     brouard  2832:       /* Careful transposed matrix */
1.222     brouard  2833:       /* age is in cov[2] */
1.218     brouard  2834:       /* out=matprod2(newm, bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent, dnewm, doldm, dsavm,ij),\ */
1.222     brouard  2835:       /*                                                1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); */
1.218     brouard  2836:       out=matprod2(newm, bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent,ij),\
1.222     brouard  2837:                   1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm);
1.217     brouard  2838:       /* if((int)age == 70){ */
                   2839:       /*       printf(" Backward hbxij age=%d agexact=%f d=%d nhstepm=%d hstepm=%d\n", (int) age, agexact, d, nhstepm, hstepm); */
                   2840:       /*       for(i=1; i<=nlstate+ndeath; i++) { */
                   2841:       /*         printf("%d pmmij ",i); */
                   2842:       /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   2843:       /*           printf("%f ",pmmij[i][j]); */
                   2844:       /*         } */
                   2845:       /*         printf(" oldm "); */
                   2846:       /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   2847:       /*           printf("%f ",oldm[i][j]); */
                   2848:       /*         } */
                   2849:       /*         printf("\n"); */
                   2850:       /*       } */
                   2851:       /* } */
                   2852:       savm=oldm;
                   2853:       oldm=newm;
                   2854:     }
                   2855:     for(i=1; i<=nlstate+ndeath; i++)
                   2856:       for(j=1;j<=nlstate+ndeath;j++) {
1.222     brouard  2857:        po[i][j][h]=newm[i][j];
                   2858:        /*if(h==nhstepm) printf("po[%d][%d][%d]=%f ",i,j,h,po[i][j][h]);*/
1.217     brouard  2859:       }
                   2860:     /*printf("h=%d ",h);*/
                   2861:   } /* end h */
1.222     brouard  2862:   /*     printf("\n H=%d \n",h); */
1.217     brouard  2863:   return po;
                   2864: }
                   2865: 
                   2866: 
1.162     brouard  2867: #ifdef NLOPT
                   2868:   double  myfunc(unsigned n, const double *p1, double *grad, void *pd){
                   2869:   double fret;
                   2870:   double *xt;
                   2871:   int j;
                   2872:   myfunc_data *d2 = (myfunc_data *) pd;
                   2873: /* xt = (p1-1); */
                   2874:   xt=vector(1,n); 
                   2875:   for (j=1;j<=n;j++)   xt[j]=p1[j-1]; /* xt[1]=p1[0] */
                   2876: 
                   2877:   fret=(d2->function)(xt); /*  p xt[1]@8 is fine */
                   2878:   /* fret=(*func)(xt); /\*  p xt[1]@8 is fine *\/ */
                   2879:   printf("Function = %.12lf ",fret);
                   2880:   for (j=1;j<=n;j++) printf(" %d %.8lf", j, xt[j]); 
                   2881:   printf("\n");
                   2882:  free_vector(xt,1,n);
                   2883:   return fret;
                   2884: }
                   2885: #endif
1.126     brouard  2886: 
                   2887: /*************** log-likelihood *************/
                   2888: double func( double *x)
                   2889: {
1.224     brouard  2890:        int i, ii, j, k, mi, d, kk;
                   2891:        int ioffset=0;
                   2892:        double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1];
                   2893:        double **out;
                   2894:        double sw; /* Sum of weights */
                   2895:        double lli; /* Individual log likelihood */
                   2896:        int s1, s2;
1.225   ! brouard  2897:        int iv=0, iqv=0, itv=0, iqtv=0 ; /* Index of varying covariate, fixed quantitative cov, time varying covariate, quatitative time varying covariate */
1.224     brouard  2898:        double bbh, survp;
                   2899:        long ipmx;
                   2900:        double agexact;
                   2901:        /*extern weight */
                   2902:        /* We are differentiating ll according to initial status */
                   2903:        /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
                   2904:        /*for(i=1;i<imx;i++) 
                   2905:                printf(" %d\n",s[4][i]);
                   2906:        */
1.162     brouard  2907: 
1.224     brouard  2908:        ++countcallfunc;
1.162     brouard  2909: 
1.224     brouard  2910:        cov[1]=1.;
1.126     brouard  2911: 
1.224     brouard  2912:        for(k=1; k<=nlstate; k++) ll[k]=0.;
                   2913:   ioffset=0;
                   2914:        if(mle==1){
                   2915:                for (i=1,ipmx=0, sw=0.; i<=imx; i++){
                   2916:                        /* Computes the values of the ncovmodel covariates of the model
                   2917:                                 depending if the covariates are fixed or varying (age dependent) and stores them in cov[]
                   2918:                                 Then computes with function pmij which return a matrix p[i][j] giving the elementary probability
                   2919:                                 to be observed in j being in i according to the model.
                   2920:                        */
                   2921:                        ioffset=2+nagesqr+cptcovage;
                   2922:                        /* for (k=1; k<=cptcovn;k++){ /\* Simple and product covariates without age* products *\/ */
                   2923:                        for (k=1; k<=ncoveff;k++){ /* Simple and product covariates without age* products */
                   2924:                                cov[++ioffset]=covar[Tvar[k]][i];
                   2925:                        }
1.225   ! brouard  2926:                        for(iqv=1; iqv <= nqfveff; iqv++){ /* Quantitatives and Fixed covariates */
1.224     brouard  2927:                                cov[++ioffset]=coqvar[iqv][i];
                   2928:                        }
1.126     brouard  2929: 
1.224     brouard  2930:                        /* In model V2+V1*V4+age*V3+V3*V2 Tvar[1] is V2, Tvar[2=V1*V4] 
                   2931:                                 is 6, Tvar[3=age*V3] should not be computed because of age Tvar[4=V3*V2] 
                   2932:                                 has been calculated etc */
                   2933:                        /* For an individual i, wav[i] gives the number of effective waves */
                   2934:                        /* We compute the contribution to Likelihood of each effective transition
                   2935:                                 mw[mi][i] is real wave of the mi th effectve wave */
                   2936:                        /* Then statuses are computed at each begin and end of an effective wave s1=s[ mw[mi][i] ][i];
                   2937:                                 s2=s[mw[mi+1][i]][i];
                   2938:                                 And the iv th varying covariate is the cotvar[mw[mi+1][i]][iv][i]
                   2939:                                 But if the variable is not in the model TTvar[iv] is the real variable effective in the model:
                   2940:                                 meaning that decodemodel should be used cotvar[mw[mi+1][i]][TTvar[iv]][i]
                   2941:                        */
                   2942:                        for(mi=1; mi<= wav[i]-1; mi++){
                   2943:                                for(itv=1; itv <= ntveff; itv++){ /* Varying dummy covariates */
                   2944:                                        cov[ioffset+itv]=cotvar[mw[mi][i]][itv][i];
                   2945:                                }
                   2946:                                for(iqtv=1; iqtv <= nqtveff; iqtv++){ /* Varying quantitatives covariates */
1.225   ! brouard  2947:                                        if(cotqvar[mw[mi][i]][iqtv][i] == -1){
        !          2948:                                                printf("i=%d, mi=%d, iqtv=%d, cotqvar[mw[mi][i]][iqtv][i]=%f",i,mi,iqtv,cotqvar[mw[mi][i]][iqtv][i]);
        !          2949:                                        }
1.224     brouard  2950:                                        cov[ioffset+ntveff+iqtv]=cotqvar[mw[mi][i]][iqtv][i];
                   2951:                                }
                   2952:                                /* ioffset=2+nagesqr+cptcovn+nqv+ntv+nqtv; */
                   2953:                                for (ii=1;ii<=nlstate+ndeath;ii++)
                   2954:                                        for (j=1;j<=nlstate+ndeath;j++){
                   2955:                                                oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2956:                                                savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2957:                                        }
                   2958:                                for(d=0; d<dh[mi][i]; d++){
                   2959:                                        newm=savm;
                   2960:                                        agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   2961:                                        cov[2]=agexact;
                   2962:                                        if(nagesqr==1)
                   2963:                                                cov[3]= agexact*agexact;  /* Should be changed here */
                   2964:                                        for (kk=1; kk<=cptcovage;kk++) {
                   2965:                                                cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact; /* Tage[kk] gives the data-covariate associated with age */
                   2966:                                        }
                   2967:                                        out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   2968:                                                                                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   2969:                                        savm=oldm;
                   2970:                                        oldm=newm;
                   2971:                                } /* end mult */
                   2972:                                
                   2973:                                        /*lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);*/ /* Original formula */
                   2974:                                /* But now since version 0.9 we anticipate for bias at large stepm.
                   2975:                                 * If stepm is larger than one month (smallest stepm) and if the exact delay 
                   2976:                                 * (in months) between two waves is not a multiple of stepm, we rounded to 
                   2977:                                 * the nearest (and in case of equal distance, to the lowest) interval but now
                   2978:                                 * we keep into memory the bias bh[mi][i] and also the previous matrix product
                   2979:                                 * (i.e to dh[mi][i]-1) saved in 'savm'. Then we inter(extra)polate the
                   2980:                                 * probability in order to take into account the bias as a fraction of the way
                   2981:                                 * from savm to out if bh is negative or even beyond if bh is positive. bh varies
                   2982:                                 * -stepm/2 to stepm/2 .
                   2983:                                 * For stepm=1 the results are the same as for previous versions of Imach.
                   2984:                                 * For stepm > 1 the results are less biased than in previous versions. 
                   2985:                                 */
                   2986:                                s1=s[mw[mi][i]][i];
                   2987:                                s2=s[mw[mi+1][i]][i];
                   2988:                                bbh=(double)bh[mi][i]/(double)stepm; 
                   2989:                                /* bias bh is positive if real duration
                   2990:                                 * is higher than the multiple of stepm and negative otherwise.
                   2991:                                 */
                   2992:                                /* lli= (savm[s1][s2]>1.e-8 ?(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]):log((1.+bbh)*out[s1][s2]));*/
                   2993:                                if( s2 > nlstate){ 
                   2994:                                        /* i.e. if s2 is a death state and if the date of death is known 
                   2995:                                                 then the contribution to the likelihood is the probability to 
                   2996:                                                 die between last step unit time and current  step unit time, 
                   2997:                                                 which is also equal to probability to die before dh 
                   2998:                                                 minus probability to die before dh-stepm . 
                   2999:                                                 In version up to 0.92 likelihood was computed
                   3000:                                                 as if date of death was unknown. Death was treated as any other
                   3001:                                                 health state: the date of the interview describes the actual state
                   3002:                                                 and not the date of a change in health state. The former idea was
                   3003:                                                 to consider that at each interview the state was recorded
                   3004:                                                 (healthy, disable or death) and IMaCh was corrected; but when we
                   3005:                                                 introduced the exact date of death then we should have modified
                   3006:                                                 the contribution of an exact death to the likelihood. This new
                   3007:                                                 contribution is smaller and very dependent of the step unit
                   3008:                                                 stepm. It is no more the probability to die between last interview
                   3009:                                                 and month of death but the probability to survive from last
                   3010:                                                 interview up to one month before death multiplied by the
                   3011:                                                 probability to die within a month. Thanks to Chris
                   3012:                                                 Jackson for correcting this bug.  Former versions increased
                   3013:                                                 mortality artificially. The bad side is that we add another loop
                   3014:                                                 which slows down the processing. The difference can be up to 10%
                   3015:                                                 lower mortality.
                   3016:                                        */
                   3017:                                        /* If, at the beginning of the maximization mostly, the
                   3018:                                                 cumulative probability or probability to be dead is
                   3019:                                                 constant (ie = 1) over time d, the difference is equal to
                   3020:                                                 0.  out[s1][3] = savm[s1][3]: probability, being at state
                   3021:                                                 s1 at precedent wave, to be dead a month before current
                   3022:                                                 wave is equal to probability, being at state s1 at
                   3023:                                                 precedent wave, to be dead at mont of the current
                   3024:                                                 wave. Then the observed probability (that this person died)
                   3025:                                                 is null according to current estimated parameter. In fact,
                   3026:                                                 it should be very low but not zero otherwise the log go to
                   3027:                                                 infinity.
                   3028:                                        */
1.183     brouard  3029: /* #ifdef INFINITYORIGINAL */
                   3030: /*         lli=log(out[s1][s2] - savm[s1][s2]); */
                   3031: /* #else */
                   3032: /*       if ((out[s1][s2] - savm[s1][s2]) < mytinydouble)  */
                   3033: /*         lli=log(mytinydouble); */
                   3034: /*       else */
                   3035: /*         lli=log(out[s1][s2] - savm[s1][s2]); */
                   3036: /* #endif */
1.224     brouard  3037:                                        lli=log(out[s1][s2] - savm[s1][s2]);
1.216     brouard  3038:          
1.224     brouard  3039:                                } else if  ( s2==-1 ) { /* alive */
                   3040:                                        for (j=1,survp=0. ; j<=nlstate; j++) 
                   3041:                                                survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   3042:                                        /*survp += out[s1][j]; */
                   3043:                                        lli= log(survp);
                   3044:                                }
                   3045:                                else if  (s2==-4) { 
                   3046:                                        for (j=3,survp=0. ; j<=nlstate; j++)  
                   3047:                                                survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   3048:                                        lli= log(survp); 
                   3049:                                } 
                   3050:                                else if  (s2==-5) { 
                   3051:                                        for (j=1,survp=0. ; j<=2; j++)  
                   3052:                                                survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   3053:                                        lli= log(survp); 
                   3054:                                } 
                   3055:                                else{
                   3056:                                        lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
                   3057:                                        /*  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 */
                   3058:                                } 
                   3059:                                /*lli=(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]);*/
                   3060:                                /*if(lli ==000.0)*/
                   3061:                                /*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); */
                   3062:                                ipmx +=1;
                   3063:                                sw += weight[i];
                   3064:                                ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   3065:                                /* if (lli < log(mytinydouble)){ */
                   3066:                                /*   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); */
                   3067:                                /*   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]); */
                   3068:                                /* } */
                   3069:                        } /* end of wave */
                   3070:                } /* end of individual */
                   3071:        }  else if(mle==2){
                   3072:                for (i=1,ipmx=0, sw=0.; i<=imx; i++){
                   3073:                        for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
                   3074:                        for(mi=1; mi<= wav[i]-1; mi++){
                   3075:                                for (ii=1;ii<=nlstate+ndeath;ii++)
                   3076:                                        for (j=1;j<=nlstate+ndeath;j++){
                   3077:                                                oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3078:                                                savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3079:                                        }
                   3080:                                for(d=0; d<=dh[mi][i]; d++){
                   3081:                                        newm=savm;
                   3082:                                        agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   3083:                                        cov[2]=agexact;
                   3084:                                        if(nagesqr==1)
                   3085:                                                cov[3]= agexact*agexact;
                   3086:                                        for (kk=1; kk<=cptcovage;kk++) {
                   3087:                                                cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
                   3088:                                        }
                   3089:                                        out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3090:                                                                                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3091:                                        savm=oldm;
                   3092:                                        oldm=newm;
                   3093:                                } /* end mult */
                   3094:       
                   3095:                                s1=s[mw[mi][i]][i];
                   3096:                                s2=s[mw[mi+1][i]][i];
                   3097:                                bbh=(double)bh[mi][i]/(double)stepm; 
                   3098:                                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 */
                   3099:                                ipmx +=1;
                   3100:                                sw += weight[i];
                   3101:                                ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   3102:                        } /* end of wave */
                   3103:                } /* end of individual */
                   3104:        }  else if(mle==3){  /* exponential inter-extrapolation */
                   3105:                for (i=1,ipmx=0, sw=0.; i<=imx; i++){
                   3106:                        for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
                   3107:                        for(mi=1; mi<= wav[i]-1; mi++){
                   3108:                                for (ii=1;ii<=nlstate+ndeath;ii++)
                   3109:                                        for (j=1;j<=nlstate+ndeath;j++){
                   3110:                                                oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3111:                                                savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3112:                                        }
                   3113:                                for(d=0; d<dh[mi][i]; d++){
                   3114:                                        newm=savm;
                   3115:                                        agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   3116:                                        cov[2]=agexact;
                   3117:                                        if(nagesqr==1)
                   3118:                                                cov[3]= agexact*agexact;
                   3119:                                        for (kk=1; kk<=cptcovage;kk++) {
                   3120:                                                cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
                   3121:                                        }
                   3122:                                        out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3123:                                                                                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3124:                                        savm=oldm;
                   3125:                                        oldm=newm;
                   3126:                                } /* end mult */
                   3127:       
                   3128:                                s1=s[mw[mi][i]][i];
                   3129:                                s2=s[mw[mi+1][i]][i];
                   3130:                                bbh=(double)bh[mi][i]/(double)stepm; 
                   3131:                                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 */
                   3132:                                ipmx +=1;
                   3133:                                sw += weight[i];
                   3134:                                ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   3135:                        } /* end of wave */
                   3136:                } /* end of individual */
                   3137:        }else if (mle==4){  /* ml=4 no inter-extrapolation */
                   3138:                for (i=1,ipmx=0, sw=0.; i<=imx; i++){
                   3139:                        for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
                   3140:                        for(mi=1; mi<= wav[i]-1; mi++){
                   3141:                                for (ii=1;ii<=nlstate+ndeath;ii++)
                   3142:                                        for (j=1;j<=nlstate+ndeath;j++){
                   3143:                                                oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3144:                                                savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3145:                                        }
                   3146:                                for(d=0; d<dh[mi][i]; d++){
                   3147:                                        newm=savm;
                   3148:                                        agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   3149:                                        cov[2]=agexact;
                   3150:                                        if(nagesqr==1)
                   3151:                                                cov[3]= agexact*agexact;
                   3152:                                        for (kk=1; kk<=cptcovage;kk++) {
                   3153:                                                cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
                   3154:                                        }
1.126     brouard  3155:        
1.224     brouard  3156:                                        out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3157:                                                                                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3158:                                        savm=oldm;
                   3159:                                        oldm=newm;
                   3160:                                } /* end mult */
                   3161:       
                   3162:                                s1=s[mw[mi][i]][i];
                   3163:                                s2=s[mw[mi+1][i]][i];
                   3164:                                if( s2 > nlstate){ 
                   3165:                                        lli=log(out[s1][s2] - savm[s1][s2]);
                   3166:                                } else if  ( s2==-1 ) { /* alive */
                   3167:                                        for (j=1,survp=0. ; j<=nlstate; j++) 
                   3168:                                                survp += out[s1][j];
                   3169:                                        lli= log(survp);
                   3170:                                }else{
                   3171:                                        lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
                   3172:                                }
                   3173:                                ipmx +=1;
                   3174:                                sw += weight[i];
                   3175:                                ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
1.126     brouard  3176: /*     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]); */
1.224     brouard  3177:                        } /* end of wave */
                   3178:                } /* end of individual */
                   3179:        }else{  /* ml=5 no inter-extrapolation no jackson =0.8a */
                   3180:                for (i=1,ipmx=0, sw=0.; i<=imx; i++){
                   3181:                        for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
                   3182:                        for(mi=1; mi<= wav[i]-1; mi++){
                   3183:                                for (ii=1;ii<=nlstate+ndeath;ii++)
                   3184:                                        for (j=1;j<=nlstate+ndeath;j++){
                   3185:                                                oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3186:                                                savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3187:                                        }
                   3188:                                for(d=0; d<dh[mi][i]; d++){
                   3189:                                        newm=savm;
                   3190:                                        agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   3191:                                        cov[2]=agexact;
                   3192:                                        if(nagesqr==1)
                   3193:                                                cov[3]= agexact*agexact;
                   3194:                                        for (kk=1; kk<=cptcovage;kk++) {
                   3195:                                                cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
                   3196:                                        }
1.126     brouard  3197:        
1.224     brouard  3198:                                        out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3199:                                                                                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3200:                                        savm=oldm;
                   3201:                                        oldm=newm;
                   3202:                                } /* end mult */
                   3203:       
                   3204:                                s1=s[mw[mi][i]][i];
                   3205:                                s2=s[mw[mi+1][i]][i];
                   3206:                                lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
                   3207:                                ipmx +=1;
                   3208:                                sw += weight[i];
                   3209:                                ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   3210:                                /*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]);*/
                   3211:                        } /* end of wave */
                   3212:                } /* end of individual */
                   3213:        } /* End of if */
                   3214:        for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
                   3215:        /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
                   3216:        l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
                   3217:        return -l;
1.126     brouard  3218: }
                   3219: 
                   3220: /*************** log-likelihood *************/
                   3221: double funcone( double *x)
                   3222: {
                   3223:   /* Same as likeli but slower because of a lot of printf and if */
                   3224:   int i, ii, j, k, mi, d, kk;
1.224     brouard  3225:        int ioffset=0;
1.131     brouard  3226:   double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1];
1.126     brouard  3227:   double **out;
                   3228:   double lli; /* Individual log likelihood */
                   3229:   double llt;
                   3230:   int s1, s2;
1.224     brouard  3231:        int iv=0, iqv=0, itv=0, iqtv=0 ; /* Index of varying covariate, fixed quantitative cov, time varying covariate */
1.126     brouard  3232:   double bbh, survp;
1.187     brouard  3233:   double agexact;
1.214     brouard  3234:   double agebegin, ageend;
1.126     brouard  3235:   /*extern weight */
                   3236:   /* We are differentiating ll according to initial status */
                   3237:   /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
                   3238:   /*for(i=1;i<imx;i++) 
                   3239:     printf(" %d\n",s[4][i]);
                   3240:   */
                   3241:   cov[1]=1.;
                   3242: 
                   3243:   for(k=1; k<=nlstate; k++) ll[k]=0.;
1.224     brouard  3244:   ioffset=0;
                   3245:   for (i=1,ipmx=0, sw=0.; i<=imx; i++){
1.225   ! brouard  3246:     ioffset=2+nagesqr+cptcovage;
1.224     brouard  3247:     /* for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i]; */
1.225   ! brouard  3248:     for (k=1; k<=ncoveff;k++){ /* Simple and product covariates without age* products */
        !          3249:       cov[++ioffset]=covar[Tvar[k]][i];
        !          3250:     }
        !          3251:     for(iqv=1; iqv <= nqfveff; iqv++){ /* Quantitatives Fixed covariates */
        !          3252:       cov[++ioffset]=coqvar[iqv][i];
        !          3253:     }
        !          3254:     
1.126     brouard  3255:     for(mi=1; mi<= wav[i]-1; mi++){
1.225   ! brouard  3256:       for(itv=1; itv <= ntveff; itv++){ /* Varying dummy covariates */
        !          3257:        cov[ioffset+itv]=cotvar[mw[mi][i]][itv][i];
        !          3258:       }
        !          3259:       for(iqtv=1; iqtv <= nqtveff; iqtv++){ /* Varying quantitatives covariates */
        !          3260:        cov[ioffset+ntveff+iqtv]=cotqvar[mw[mi][i]][iqtv][i];
        !          3261:       }
1.126     brouard  3262:       for (ii=1;ii<=nlstate+ndeath;ii++)
1.225   ! brouard  3263:        for (j=1;j<=nlstate+ndeath;j++){
        !          3264:          oldm[ii][j]=(ii==j ? 1.0 : 0.0);
        !          3265:          savm[ii][j]=(ii==j ? 1.0 : 0.0);
        !          3266:        }
1.214     brouard  3267:       
                   3268:       agebegin=agev[mw[mi][i]][i]; /* Age at beginning of effective wave */
                   3269:       ageend=agev[mw[mi][i]][i] + (dh[mi][i])*stepm/YEARM; /* Age at end of effective wave and at the end of transition */
                   3270:       for(d=0; d<dh[mi][i]; d++){  /* Delay between two effective waves */
1.225   ! brouard  3271:        /*dh[m][i] or dh[mw[mi][i]][i] is the delay between two effective waves m=mw[mi][i]
        !          3272:          and mw[mi+1][i]. dh depends on stepm.*/
        !          3273:        newm=savm;
        !          3274:        agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
        !          3275:        cov[2]=agexact;
        !          3276:        if(nagesqr==1)
        !          3277:          cov[3]= agexact*agexact;
        !          3278:        for (kk=1; kk<=cptcovage;kk++) {
        !          3279:          cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
        !          3280:        }
        !          3281:        /* printf("i=%d,mi=%d,d=%d,mw[mi][i]=%d\n",i, mi,d,mw[mi][i]); */
        !          3282:        /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
        !          3283:        out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
        !          3284:                     1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
        !          3285:        /* out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath, */
        !          3286:        /*           1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate)); */
        !          3287:        savm=oldm;
        !          3288:        oldm=newm;
1.126     brouard  3289:       } /* end mult */
                   3290:       
                   3291:       s1=s[mw[mi][i]][i];
                   3292:       s2=s[mw[mi+1][i]][i];
1.217     brouard  3293:       /* if(s2==-1){ */
                   3294:       /*       printf(" s1=%d, s2=%d i=%d \n", s1, s2, i); */
                   3295:       /*       /\* exit(1); *\/ */
                   3296:       /* } */
1.126     brouard  3297:       bbh=(double)bh[mi][i]/(double)stepm; 
                   3298:       /* bias is positive if real duration
                   3299:        * is higher than the multiple of stepm and negative otherwise.
                   3300:        */
                   3301:       if( s2 > nlstate && (mle <5) ){  /* Jackson */
1.225   ! brouard  3302:        lli=log(out[s1][s2] - savm[s1][s2]);
1.216     brouard  3303:       } else if  ( s2==-1 ) { /* alive */
1.225   ! brouard  3304:        for (j=1,survp=0. ; j<=nlstate; j++) 
        !          3305:          survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
        !          3306:        lli= log(survp);
1.126     brouard  3307:       }else if (mle==1){
1.225   ! brouard  3308:        lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
1.126     brouard  3309:       } else if(mle==2){
1.225   ! brouard  3310:        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  3311:       } else if(mle==3){  /* exponential inter-extrapolation */
1.225   ! brouard  3312:        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  3313:       } else if (mle==4){  /* mle=4 no inter-extrapolation */
1.225   ! brouard  3314:        lli=log(out[s1][s2]); /* Original formula */
1.136     brouard  3315:       } else{  /* mle=0 back to 1 */
1.225   ! brouard  3316:        lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
        !          3317:        /*lli=log(out[s1][s2]); */ /* Original formula */
1.126     brouard  3318:       } /* End of if */
                   3319:       ipmx +=1;
                   3320:       sw += weight[i];
                   3321:       ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
1.132     brouard  3322:       /*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  3323:       if(globpr){
1.225   ! brouard  3324:        fprintf(ficresilk,"%9ld %6.1f %6.1f %6d %2d %2d %2d %2d %3d %15.6f %8.4f %8.3f\
1.126     brouard  3325:  %11.6f %11.6f %11.6f ", \
1.225   ! brouard  3326:                num[i], agebegin, ageend, i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],weight[i]*gipmx/gsw,
        !          3327:                2*weight[i]*lli,out[s1][s2],savm[s1][s2]);
        !          3328:        for(k=1,llt=0.,l=0.; k<=nlstate; k++){
        !          3329:          llt +=ll[k]*gipmx/gsw;
        !          3330:          fprintf(ficresilk," %10.6f",-ll[k]*gipmx/gsw);
        !          3331:        }
        !          3332:        fprintf(ficresilk," %10.6f\n", -llt);
1.126     brouard  3333:       }
                   3334:     } /* end of wave */
                   3335:   } /* end of individual */
                   3336:   for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
                   3337:   /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
                   3338:   l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
                   3339:   if(globpr==0){ /* First time we count the contributions and weights */
                   3340:     gipmx=ipmx;
                   3341:     gsw=sw;
                   3342:   }
                   3343:   return -l;
                   3344: }
                   3345: 
                   3346: 
                   3347: /*************** function likelione ***********/
                   3348: void likelione(FILE *ficres,double p[], int npar, int nlstate, int *globpri, long *ipmx, double *sw, double *fretone, double (*funcone)(double []))
                   3349: {
                   3350:   /* This routine should help understanding what is done with 
                   3351:      the selection of individuals/waves and
                   3352:      to check the exact contribution to the likelihood.
                   3353:      Plotting could be done.
                   3354:    */
                   3355:   int k;
                   3356: 
                   3357:   if(*globpri !=0){ /* Just counts and sums, no printings */
1.201     brouard  3358:     strcpy(fileresilk,"ILK_"); 
1.202     brouard  3359:     strcat(fileresilk,fileresu);
1.126     brouard  3360:     if((ficresilk=fopen(fileresilk,"w"))==NULL) {
                   3361:       printf("Problem with resultfile: %s\n", fileresilk);
                   3362:       fprintf(ficlog,"Problem with resultfile: %s\n", fileresilk);
                   3363:     }
1.214     brouard  3364:     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");
                   3365:     fprintf(ficresilk, "#num_i ageb agend i s1 s2 mi mw dh likeli weight %%weight 2wlli out sav ");
1.126     brouard  3366:     /*         i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],2*weight[i]*lli,out[s1][s2],savm[s1][s2]); */
                   3367:     for(k=1; k<=nlstate; k++) 
                   3368:       fprintf(ficresilk," -2*gipw/gsw*weight*ll[%d]++",k);
                   3369:     fprintf(ficresilk," -2*gipw/gsw*weight*ll(total)\n");
                   3370:   }
                   3371: 
                   3372:   *fretone=(*funcone)(p);
                   3373:   if(*globpri !=0){
                   3374:     fclose(ficresilk);
1.205     brouard  3375:     if (mle ==0)
                   3376:       fprintf(fichtm,"\n<br>File of contributions to the likelihood computed with initial parameters and mle = %d.",mle);
                   3377:     else if(mle >=1)
                   3378:       fprintf(fichtm,"\n<br>File of contributions to the likelihood computed with optimized parameters mle = %d.",mle);
                   3379:     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  3380:     
1.208     brouard  3381:       
                   3382:     for (k=1; k<= nlstate ; k++) {
1.211     brouard  3383:       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  3384: <img src=\"%s-p%dj.png\">",k,k,subdirf2(optionfilefiname,"ILK_"),k,subdirf2(optionfilefiname,"ILK_"),k,subdirf2(optionfilefiname,"ILK_"),k);
                   3385:     }
1.207     brouard  3386:     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  3387: <img src=\"%s-ori.png\">",subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"));
1.207     brouard  3388:     fprintf(fichtm,"<br>- and by state of destination <a href=\"%s-dest.png\">%s-dest.png</a><br> \
1.204     brouard  3389: <img src=\"%s-dest.png\">",subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"));
1.207     brouard  3390:     fflush(fichtm);
1.205     brouard  3391:   }
1.126     brouard  3392:   return;
                   3393: }
                   3394: 
                   3395: 
                   3396: /*********** Maximum Likelihood Estimation ***************/
                   3397: 
                   3398: void mlikeli(FILE *ficres,double p[], int npar, int ncovmodel, int nlstate, double ftol, double (*func)(double []))
                   3399: {
1.165     brouard  3400:   int i,j, iter=0;
1.126     brouard  3401:   double **xi;
                   3402:   double fret;
                   3403:   double fretone; /* Only one call to likelihood */
                   3404:   /*  char filerespow[FILENAMELENGTH];*/
1.162     brouard  3405: 
                   3406: #ifdef NLOPT
                   3407:   int creturn;
                   3408:   nlopt_opt opt;
                   3409:   /* double lb[9] = { -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL }; /\* lower bounds *\/ */
                   3410:   double *lb;
                   3411:   double minf; /* the minimum objective value, upon return */
                   3412:   double * p1; /* Shifted parameters from 0 instead of 1 */
                   3413:   myfunc_data dinst, *d = &dinst;
                   3414: #endif
                   3415: 
                   3416: 
1.126     brouard  3417:   xi=matrix(1,npar,1,npar);
                   3418:   for (i=1;i<=npar;i++)
                   3419:     for (j=1;j<=npar;j++)
                   3420:       xi[i][j]=(i==j ? 1.0 : 0.0);
                   3421:   printf("Powell\n");  fprintf(ficlog,"Powell\n");
1.201     brouard  3422:   strcpy(filerespow,"POW_"); 
1.126     brouard  3423:   strcat(filerespow,fileres);
                   3424:   if((ficrespow=fopen(filerespow,"w"))==NULL) {
                   3425:     printf("Problem with resultfile: %s\n", filerespow);
                   3426:     fprintf(ficlog,"Problem with resultfile: %s\n", filerespow);
                   3427:   }
                   3428:   fprintf(ficrespow,"# Powell\n# iter -2*LL");
                   3429:   for (i=1;i<=nlstate;i++)
                   3430:     for(j=1;j<=nlstate+ndeath;j++)
                   3431:       if(j!=i)fprintf(ficrespow," p%1d%1d",i,j);
                   3432:   fprintf(ficrespow,"\n");
1.162     brouard  3433: #ifdef POWELL
1.126     brouard  3434:   powell(p,xi,npar,ftol,&iter,&fret,func);
1.162     brouard  3435: #endif
1.126     brouard  3436: 
1.162     brouard  3437: #ifdef NLOPT
                   3438: #ifdef NEWUOA
                   3439:   opt = nlopt_create(NLOPT_LN_NEWUOA,npar);
                   3440: #else
                   3441:   opt = nlopt_create(NLOPT_LN_BOBYQA,npar);
                   3442: #endif
                   3443:   lb=vector(0,npar-1);
                   3444:   for (i=0;i<npar;i++) lb[i]= -HUGE_VAL;
                   3445:   nlopt_set_lower_bounds(opt, lb);
                   3446:   nlopt_set_initial_step1(opt, 0.1);
                   3447:   
                   3448:   p1= (p+1); /*  p *(p+1)@8 and p *(p1)@8 are equal p1[0]=p[1] */
                   3449:   d->function = func;
                   3450:   printf(" Func %.12lf \n",myfunc(npar,p1,NULL,d));
                   3451:   nlopt_set_min_objective(opt, myfunc, d);
                   3452:   nlopt_set_xtol_rel(opt, ftol);
                   3453:   if ((creturn=nlopt_optimize(opt, p1, &minf)) < 0) {
                   3454:     printf("nlopt failed! %d\n",creturn); 
                   3455:   }
                   3456:   else {
                   3457:     printf("found minimum after %d evaluations (NLOPT=%d)\n", countcallfunc ,NLOPT);
                   3458:     printf("found minimum at f(%g,%g) = %0.10g\n", p[0], p[1], minf);
                   3459:     iter=1; /* not equal */
                   3460:   }
                   3461:   nlopt_destroy(opt);
                   3462: #endif
1.126     brouard  3463:   free_matrix(xi,1,npar,1,npar);
                   3464:   fclose(ficrespow);
1.203     brouard  3465:   printf("\n#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
                   3466:   fprintf(ficlog,"\n#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
1.180     brouard  3467:   fprintf(ficres,"#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
1.126     brouard  3468: 
                   3469: }
                   3470: 
                   3471: /**** Computes Hessian and covariance matrix ***/
1.203     brouard  3472: void hesscov(double **matcov, double **hess, double p[], int npar, double delti[], double ftolhess, double (*func)(double []))
1.126     brouard  3473: {
                   3474:   double  **a,**y,*x,pd;
1.203     brouard  3475:   /* double **hess; */
1.164     brouard  3476:   int i, j;
1.126     brouard  3477:   int *indx;
                   3478: 
                   3479:   double hessii(double p[], double delta, int theta, double delti[],double (*func)(double []),int npar);
1.203     brouard  3480:   double hessij(double p[], double **hess, double delti[], int i, int j,double (*func)(double []),int npar);
1.126     brouard  3481:   void lubksb(double **a, int npar, int *indx, double b[]) ;
                   3482:   void ludcmp(double **a, int npar, int *indx, double *d) ;
                   3483:   double gompertz(double p[]);
1.203     brouard  3484:   /* hess=matrix(1,npar,1,npar); */
1.126     brouard  3485: 
                   3486:   printf("\nCalculation of the hessian matrix. Wait...\n");
                   3487:   fprintf(ficlog,"\nCalculation of the hessian matrix. Wait...\n");
                   3488:   for (i=1;i<=npar;i++){
1.203     brouard  3489:     printf("%d-",i);fflush(stdout);
                   3490:     fprintf(ficlog,"%d-",i);fflush(ficlog);
1.126     brouard  3491:    
                   3492:      hess[i][i]=hessii(p,ftolhess,i,delti,func,npar);
                   3493:     
                   3494:     /*  printf(" %f ",p[i]);
                   3495:        printf(" %lf %lf %lf",hess[i][i],ftolhess,delti[i]);*/
                   3496:   }
                   3497:   
                   3498:   for (i=1;i<=npar;i++) {
                   3499:     for (j=1;j<=npar;j++)  {
                   3500:       if (j>i) { 
1.203     brouard  3501:        printf(".%d-%d",i,j);fflush(stdout);
                   3502:        fprintf(ficlog,".%d-%d",i,j);fflush(ficlog);
                   3503:        hess[i][j]=hessij(p,hess, delti,i,j,func,npar);
1.126     brouard  3504:        
                   3505:        hess[j][i]=hess[i][j];    
                   3506:        /*printf(" %lf ",hess[i][j]);*/
                   3507:       }
                   3508:     }
                   3509:   }
                   3510:   printf("\n");
                   3511:   fprintf(ficlog,"\n");
                   3512: 
                   3513:   printf("\nInverting the hessian to get the covariance matrix. Wait...\n");
                   3514:   fprintf(ficlog,"\nInverting the hessian to get the covariance matrix. Wait...\n");
                   3515:   
                   3516:   a=matrix(1,npar,1,npar);
                   3517:   y=matrix(1,npar,1,npar);
                   3518:   x=vector(1,npar);
                   3519:   indx=ivector(1,npar);
                   3520:   for (i=1;i<=npar;i++)
                   3521:     for (j=1;j<=npar;j++) a[i][j]=hess[i][j];
                   3522:   ludcmp(a,npar,indx,&pd);
                   3523: 
                   3524:   for (j=1;j<=npar;j++) {
                   3525:     for (i=1;i<=npar;i++) x[i]=0;
                   3526:     x[j]=1;
                   3527:     lubksb(a,npar,indx,x);
                   3528:     for (i=1;i<=npar;i++){ 
                   3529:       matcov[i][j]=x[i];
                   3530:     }
                   3531:   }
                   3532: 
                   3533:   printf("\n#Hessian matrix#\n");
                   3534:   fprintf(ficlog,"\n#Hessian matrix#\n");
                   3535:   for (i=1;i<=npar;i++) { 
                   3536:     for (j=1;j<=npar;j++) { 
1.203     brouard  3537:       printf("%.6e ",hess[i][j]);
                   3538:       fprintf(ficlog,"%.6e ",hess[i][j]);
1.126     brouard  3539:     }
                   3540:     printf("\n");
                   3541:     fprintf(ficlog,"\n");
                   3542:   }
                   3543: 
1.203     brouard  3544:   /* printf("\n#Covariance matrix#\n"); */
                   3545:   /* fprintf(ficlog,"\n#Covariance matrix#\n"); */
                   3546:   /* for (i=1;i<=npar;i++) {  */
                   3547:   /*   for (j=1;j<=npar;j++) {  */
                   3548:   /*     printf("%.6e ",matcov[i][j]); */
                   3549:   /*     fprintf(ficlog,"%.6e ",matcov[i][j]); */
                   3550:   /*   } */
                   3551:   /*   printf("\n"); */
                   3552:   /*   fprintf(ficlog,"\n"); */
                   3553:   /* } */
                   3554: 
1.126     brouard  3555:   /* Recompute Inverse */
1.203     brouard  3556:   /* for (i=1;i<=npar;i++) */
                   3557:   /*   for (j=1;j<=npar;j++) a[i][j]=matcov[i][j]; */
                   3558:   /* ludcmp(a,npar,indx,&pd); */
                   3559: 
                   3560:   /*  printf("\n#Hessian matrix recomputed#\n"); */
                   3561: 
                   3562:   /* for (j=1;j<=npar;j++) { */
                   3563:   /*   for (i=1;i<=npar;i++) x[i]=0; */
                   3564:   /*   x[j]=1; */
                   3565:   /*   lubksb(a,npar,indx,x); */
                   3566:   /*   for (i=1;i<=npar;i++){  */
                   3567:   /*     y[i][j]=x[i]; */
                   3568:   /*     printf("%.3e ",y[i][j]); */
                   3569:   /*     fprintf(ficlog,"%.3e ",y[i][j]); */
                   3570:   /*   } */
                   3571:   /*   printf("\n"); */
                   3572:   /*   fprintf(ficlog,"\n"); */
                   3573:   /* } */
                   3574: 
                   3575:   /* Verifying the inverse matrix */
                   3576: #ifdef DEBUGHESS
                   3577:   y=matprod2(y,hess,1,npar,1,npar,1,npar,matcov);
1.126     brouard  3578: 
1.203     brouard  3579:    printf("\n#Verification: multiplying the matrix of covariance by the Hessian matrix, should be unity:#\n");
                   3580:    fprintf(ficlog,"\n#Verification: multiplying the matrix of covariance by the Hessian matrix. Should be unity:#\n");
1.126     brouard  3581: 
                   3582:   for (j=1;j<=npar;j++) {
                   3583:     for (i=1;i<=npar;i++){ 
1.203     brouard  3584:       printf("%.2f ",y[i][j]);
                   3585:       fprintf(ficlog,"%.2f ",y[i][j]);
1.126     brouard  3586:     }
                   3587:     printf("\n");
                   3588:     fprintf(ficlog,"\n");
                   3589:   }
1.203     brouard  3590: #endif
1.126     brouard  3591: 
                   3592:   free_matrix(a,1,npar,1,npar);
                   3593:   free_matrix(y,1,npar,1,npar);
                   3594:   free_vector(x,1,npar);
                   3595:   free_ivector(indx,1,npar);
1.203     brouard  3596:   /* free_matrix(hess,1,npar,1,npar); */
1.126     brouard  3597: 
                   3598: 
                   3599: }
                   3600: 
                   3601: /*************** hessian matrix ****************/
                   3602: double hessii(double x[], double delta, int theta, double delti[], double (*func)(double []), int npar)
1.203     brouard  3603: { /* Around values of x, computes the function func and returns the scales delti and hessian */
1.126     brouard  3604:   int i;
                   3605:   int l=1, lmax=20;
1.203     brouard  3606:   double k1,k2, res, fx;
1.132     brouard  3607:   double p2[MAXPARM+1]; /* identical to x */
1.126     brouard  3608:   double delt=0.0001, delts, nkhi=10.,nkhif=1., khi=1.e-4;
                   3609:   int k=0,kmax=10;
                   3610:   double l1;
                   3611: 
                   3612:   fx=func(x);
                   3613:   for (i=1;i<=npar;i++) p2[i]=x[i];
1.145     brouard  3614:   for(l=0 ; l <=lmax; l++){  /* Enlarging the zone around the Maximum */
1.126     brouard  3615:     l1=pow(10,l);
                   3616:     delts=delt;
                   3617:     for(k=1 ; k <kmax; k=k+1){
                   3618:       delt = delta*(l1*k);
                   3619:       p2[theta]=x[theta] +delt;
1.145     brouard  3620:       k1=func(p2)-fx;   /* Might be negative if too close to the theoretical maximum */
1.126     brouard  3621:       p2[theta]=x[theta]-delt;
                   3622:       k2=func(p2)-fx;
                   3623:       /*res= (k1-2.0*fx+k2)/delt/delt; */
1.203     brouard  3624:       res= (k1+k2)/delt/delt/2.; /* Divided by 2 because L and not 2*L */
1.126     brouard  3625:       
1.203     brouard  3626: #ifdef DEBUGHESSII
1.126     brouard  3627:       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);
                   3628:       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);
                   3629: #endif
                   3630:       /*if(fabs(k1-2.0*fx+k2) <1.e-13){ */
                   3631:       if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)){
                   3632:        k=kmax;
                   3633:       }
                   3634:       else if((k1 >khi/nkhif) || (k2 >khi/nkhif)){ /* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. */
1.164     brouard  3635:        k=kmax; l=lmax*10;
1.126     brouard  3636:       }
                   3637:       else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){ 
                   3638:        delts=delt;
                   3639:       }
1.203     brouard  3640:     } /* End loop k */
1.126     brouard  3641:   }
                   3642:   delti[theta]=delts;
                   3643:   return res; 
                   3644:   
                   3645: }
                   3646: 
1.203     brouard  3647: double hessij( double x[], double **hess, double delti[], int thetai,int thetaj,double (*func)(double []),int npar)
1.126     brouard  3648: {
                   3649:   int i;
1.164     brouard  3650:   int l=1, lmax=20;
1.126     brouard  3651:   double k1,k2,k3,k4,res,fx;
1.132     brouard  3652:   double p2[MAXPARM+1];
1.203     brouard  3653:   int k, kmax=1;
                   3654:   double v1, v2, cv12, lc1, lc2;
1.208     brouard  3655: 
                   3656:   int firstime=0;
1.203     brouard  3657:   
1.126     brouard  3658:   fx=func(x);
1.203     brouard  3659:   for (k=1; k<=kmax; k=k+10) {
1.126     brouard  3660:     for (i=1;i<=npar;i++) p2[i]=x[i];
1.203     brouard  3661:     p2[thetai]=x[thetai]+delti[thetai]*k;
                   3662:     p2[thetaj]=x[thetaj]+delti[thetaj]*k;
1.126     brouard  3663:     k1=func(p2)-fx;
                   3664:   
1.203     brouard  3665:     p2[thetai]=x[thetai]+delti[thetai]*k;
                   3666:     p2[thetaj]=x[thetaj]-delti[thetaj]*k;
1.126     brouard  3667:     k2=func(p2)-fx;
                   3668:   
1.203     brouard  3669:     p2[thetai]=x[thetai]-delti[thetai]*k;
                   3670:     p2[thetaj]=x[thetaj]+delti[thetaj]*k;
1.126     brouard  3671:     k3=func(p2)-fx;
                   3672:   
1.203     brouard  3673:     p2[thetai]=x[thetai]-delti[thetai]*k;
                   3674:     p2[thetaj]=x[thetaj]-delti[thetaj]*k;
1.126     brouard  3675:     k4=func(p2)-fx;
1.203     brouard  3676:     res=(k1-k2-k3+k4)/4.0/delti[thetai]/k/delti[thetaj]/k/2.; /* Because of L not 2*L */
                   3677:     if(k1*k2*k3*k4 <0.){
1.208     brouard  3678:       firstime=1;
1.203     brouard  3679:       kmax=kmax+10;
1.208     brouard  3680:     }
                   3681:     if(kmax >=10 || firstime ==1){
1.218     brouard  3682:       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);
                   3683:       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  3684:       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);
                   3685:       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);
                   3686:     }
                   3687: #ifdef DEBUGHESSIJ
                   3688:     v1=hess[thetai][thetai];
                   3689:     v2=hess[thetaj][thetaj];
                   3690:     cv12=res;
                   3691:     /* Computing eigen value of Hessian matrix */
                   3692:     lc1=((v1+v2)+sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                   3693:     lc2=((v1+v2)-sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                   3694:     if ((lc2 <0) || (lc1 <0) ){
                   3695:       printf("Warning: sub Hessian matrix '%d%d' does not have positive eigen values \n",thetai,thetaj);
                   3696:       fprintf(ficlog, "Warning: sub Hessian matrix '%d%d' does not have positive eigen values \n",thetai,thetaj);
                   3697:       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);
                   3698:       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);
                   3699:     }
1.126     brouard  3700: #endif
                   3701:   }
                   3702:   return res;
                   3703: }
                   3704: 
1.203     brouard  3705:     /* Not done yet: Was supposed to fix if not exactly at the maximum */
                   3706: /* double hessij( double x[], double delti[], int thetai,int thetaj,double (*func)(double []),int npar) */
                   3707: /* { */
                   3708: /*   int i; */
                   3709: /*   int l=1, lmax=20; */
                   3710: /*   double k1,k2,k3,k4,res,fx; */
                   3711: /*   double p2[MAXPARM+1]; */
                   3712: /*   double delt=0.0001, delts, nkhi=10.,nkhif=1., khi=1.e-4; */
                   3713: /*   int k=0,kmax=10; */
                   3714: /*   double l1; */
                   3715:   
                   3716: /*   fx=func(x); */
                   3717: /*   for(l=0 ; l <=lmax; l++){  /\* Enlarging the zone around the Maximum *\/ */
                   3718: /*     l1=pow(10,l); */
                   3719: /*     delts=delt; */
                   3720: /*     for(k=1 ; k <kmax; k=k+1){ */
                   3721: /*       delt = delti*(l1*k); */
                   3722: /*       for (i=1;i<=npar;i++) p2[i]=x[i]; */
                   3723: /*       p2[thetai]=x[thetai]+delti[thetai]/k; */
                   3724: /*       p2[thetaj]=x[thetaj]+delti[thetaj]/k; */
                   3725: /*       k1=func(p2)-fx; */
                   3726:       
                   3727: /*       p2[thetai]=x[thetai]+delti[thetai]/k; */
                   3728: /*       p2[thetaj]=x[thetaj]-delti[thetaj]/k; */
                   3729: /*       k2=func(p2)-fx; */
                   3730:       
                   3731: /*       p2[thetai]=x[thetai]-delti[thetai]/k; */
                   3732: /*       p2[thetaj]=x[thetaj]+delti[thetaj]/k; */
                   3733: /*       k3=func(p2)-fx; */
                   3734:       
                   3735: /*       p2[thetai]=x[thetai]-delti[thetai]/k; */
                   3736: /*       p2[thetaj]=x[thetaj]-delti[thetaj]/k; */
                   3737: /*       k4=func(p2)-fx; */
                   3738: /*       res=(k1-k2-k3+k4)/4.0/delti[thetai]*k/delti[thetaj]*k/2.; /\* Because of L not 2*L *\/ */
                   3739: /* #ifdef DEBUGHESSIJ */
                   3740: /*       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); */
                   3741: /*       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); */
                   3742: /* #endif */
                   3743: /*       if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)|| (k4 <khi/nkhi/2.)|| (k4 <khi/nkhi/2.)){ */
                   3744: /*     k=kmax; */
                   3745: /*       } */
                   3746: /*       else if((k1 >khi/nkhif) || (k2 >khi/nkhif) || (k4 >khi/nkhif) || (k4 >khi/nkhif)){ /\* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. *\/ */
                   3747: /*     k=kmax; l=lmax*10; */
                   3748: /*       } */
                   3749: /*       else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){  */
                   3750: /*     delts=delt; */
                   3751: /*       } */
                   3752: /*     } /\* End loop k *\/ */
                   3753: /*   } */
                   3754: /*   delti[theta]=delts; */
                   3755: /*   return res;  */
                   3756: /* } */
                   3757: 
                   3758: 
1.126     brouard  3759: /************** Inverse of matrix **************/
                   3760: void ludcmp(double **a, int n, int *indx, double *d) 
                   3761: { 
                   3762:   int i,imax,j,k; 
                   3763:   double big,dum,sum,temp; 
                   3764:   double *vv; 
                   3765:  
                   3766:   vv=vector(1,n); 
                   3767:   *d=1.0; 
                   3768:   for (i=1;i<=n;i++) { 
                   3769:     big=0.0; 
                   3770:     for (j=1;j<=n;j++) 
                   3771:       if ((temp=fabs(a[i][j])) > big) big=temp; 
                   3772:     if (big == 0.0) nrerror("Singular matrix in routine ludcmp"); 
                   3773:     vv[i]=1.0/big; 
                   3774:   } 
                   3775:   for (j=1;j<=n;j++) { 
                   3776:     for (i=1;i<j;i++) { 
                   3777:       sum=a[i][j]; 
                   3778:       for (k=1;k<i;k++) sum -= a[i][k]*a[k][j]; 
                   3779:       a[i][j]=sum; 
                   3780:     } 
                   3781:     big=0.0; 
                   3782:     for (i=j;i<=n;i++) { 
                   3783:       sum=a[i][j]; 
                   3784:       for (k=1;k<j;k++) 
                   3785:        sum -= a[i][k]*a[k][j]; 
                   3786:       a[i][j]=sum; 
                   3787:       if ( (dum=vv[i]*fabs(sum)) >= big) { 
                   3788:        big=dum; 
                   3789:        imax=i; 
                   3790:       } 
                   3791:     } 
                   3792:     if (j != imax) { 
                   3793:       for (k=1;k<=n;k++) { 
                   3794:        dum=a[imax][k]; 
                   3795:        a[imax][k]=a[j][k]; 
                   3796:        a[j][k]=dum; 
                   3797:       } 
                   3798:       *d = -(*d); 
                   3799:       vv[imax]=vv[j]; 
                   3800:     } 
                   3801:     indx[j]=imax; 
                   3802:     if (a[j][j] == 0.0) a[j][j]=TINY; 
                   3803:     if (j != n) { 
                   3804:       dum=1.0/(a[j][j]); 
                   3805:       for (i=j+1;i<=n;i++) a[i][j] *= dum; 
                   3806:     } 
                   3807:   } 
                   3808:   free_vector(vv,1,n);  /* Doesn't work */
                   3809: ;
                   3810: } 
                   3811: 
                   3812: void lubksb(double **a, int n, int *indx, double b[]) 
                   3813: { 
                   3814:   int i,ii=0,ip,j; 
                   3815:   double sum; 
                   3816:  
                   3817:   for (i=1;i<=n;i++) { 
                   3818:     ip=indx[i]; 
                   3819:     sum=b[ip]; 
                   3820:     b[ip]=b[i]; 
                   3821:     if (ii) 
                   3822:       for (j=ii;j<=i-1;j++) sum -= a[i][j]*b[j]; 
                   3823:     else if (sum) ii=i; 
                   3824:     b[i]=sum; 
                   3825:   } 
                   3826:   for (i=n;i>=1;i--) { 
                   3827:     sum=b[i]; 
                   3828:     for (j=i+1;j<=n;j++) sum -= a[i][j]*b[j]; 
                   3829:     b[i]=sum/a[i][i]; 
                   3830:   } 
                   3831: } 
                   3832: 
                   3833: void pstamp(FILE *fichier)
                   3834: {
1.196     brouard  3835:   fprintf(fichier,"# %s.%s\n#IMaCh version %s, %s\n#%s\n# %s", optionfilefiname,optionfilext,version,copyright, fullversion, strstart);
1.126     brouard  3836: }
                   3837: 
                   3838: /************ Frequencies ********************/
1.220     brouard  3839:  void  freqsummary(char fileres[], int iagemin, int iagemax, int **s, double **agev, int nlstate, int imx, \
                   3840:                                                                         int *Tvaraff, int *invalidvarcomb, int **nbcode, int *ncodemax,double **mint,double **anint, char strstart[],  \
                   3841:                                                                         int firstpass,  int lastpass, int stepm, int weightopt, char model[])
                   3842:  {  /* Some frequencies */
                   3843:   
                   3844:         int i, m, jk, j1, bool, z1,j;
                   3845:         int iind=0, iage=0;
                   3846:         int mi; /* Effective wave */
                   3847:         int first;
                   3848:         double ***freq; /* Frequencies */
1.224     brouard  3849:         double *meanq;
                   3850:         double **meanqt;
1.220     brouard  3851:         double *pp, **prop, *posprop, *pospropt;
                   3852:         double pos=0., posproptt=0., pospropta=0., k2, dateintsum=0,k2cpt=0;
                   3853:         char fileresp[FILENAMELENGTH], fileresphtm[FILENAMELENGTH], fileresphtmfr[FILENAMELENGTH];
                   3854:         double agebegin, ageend;
                   3855:     
                   3856:         pp=vector(1,nlstate);
                   3857:         prop=matrix(1,nlstate,iagemin-AGEMARGE,iagemax+3+AGEMARGE); 
                   3858:         posprop=vector(1,nlstate); /* Counting the number of transition starting from a live state per age */ 
                   3859:         pospropt=vector(1,nlstate); /* Counting the number of transition starting from a live state */ 
                   3860:         /* prop=matrix(1,nlstate,iagemin,iagemax+3); */
1.225   ! brouard  3861:         meanq=vector(1,nqfveff); /* Number of Quantitative Fixed Variables Effective */
1.224     brouard  3862:         meanqt=matrix(1,lastpass,1,nqtveff);
1.220     brouard  3863:         strcpy(fileresp,"P_");
                   3864:         strcat(fileresp,fileresu);
                   3865:         /*strcat(fileresphtm,fileresu);*/
                   3866:         if((ficresp=fopen(fileresp,"w"))==NULL) {
                   3867:                 printf("Problem with prevalence resultfile: %s\n", fileresp);
                   3868:                 fprintf(ficlog,"Problem with prevalence resultfile: %s\n", fileresp);
                   3869:                 exit(0);
                   3870:         }
1.214     brouard  3871: 
1.220     brouard  3872:         strcpy(fileresphtm,subdirfext(optionfilefiname,"PHTM_",".htm"));
                   3873:         if((ficresphtm=fopen(fileresphtm,"w"))==NULL) {
                   3874:                 printf("Problem with prevalence HTM resultfile '%s' with errno='%s'\n",fileresphtm,strerror(errno));
                   3875:                 fprintf(ficlog,"Problem with prevalence HTM resultfile '%s' with errno='%s'\n",fileresphtm,strerror(errno));
                   3876:                 fflush(ficlog);
                   3877:                 exit(70); 
                   3878:         }
                   3879:         else{
                   3880:                 fprintf(ficresphtm,"<html><head>\n<title>IMaCh PHTM_ %s</title></head>\n <body><font size=\"2\">%s <br> %s</font> \
1.214     brouard  3881: <hr size=\"2\" color=\"#EC5E5E\"> \n\
                   3882: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s<br>\n",\
1.220     brouard  3883:                                                 fileresphtm,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);
                   3884:         }
                   3885:         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  3886:     
1.220     brouard  3887:         strcpy(fileresphtmfr,subdirfext(optionfilefiname,"PHTMFR_",".htm"));
                   3888:         if((ficresphtmfr=fopen(fileresphtmfr,"w"))==NULL) {
                   3889:                 printf("Problem with frequency table HTM resultfile '%s' with errno='%s'\n",fileresphtmfr,strerror(errno));
                   3890:                 fprintf(ficlog,"Problem with frequency table HTM resultfile '%s' with errno='%s'\n",fileresphtmfr,strerror(errno));
                   3891:                 fflush(ficlog);
                   3892:                 exit(70); 
                   3893:         }
                   3894:         else{
                   3895:                 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  3896: <hr size=\"2\" color=\"#EC5E5E\"> \n\
                   3897: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s<br>\n",\
1.220     brouard  3898:                                                 fileresphtmfr,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);
                   3899:         }
                   3900:         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  3901: 
1.220     brouard  3902:         freq= ma3x(-5,nlstate+ndeath,-5,nlstate+ndeath,iagemin-AGEMARGE,iagemax+3+AGEMARGE);
                   3903:         j1=0;
1.126     brouard  3904:   
1.224     brouard  3905:         j=ncoveff;
1.220     brouard  3906:         if (cptcovn<1) {j=1;ncodemax[1]=1;}
                   3907: 
                   3908:         first=1;
                   3909: 
                   3910:         /* Detects if a combination j1 is empty: for a multinomial variable like 3 education levels:
                   3911:                        reference=low_education V1=0,V2=0
                   3912:                        med_educ                V1=1 V2=0, 
                   3913:                        high_educ               V1=0 V2=1
                   3914:                        Then V1=1 and V2=1 is a noisy combination that we want to exclude for the list 2**cptcoveff 
                   3915:         */
1.126     brouard  3916: 
1.224     brouard  3917:         for (j1 = 1; j1 <= (int) pow(2,j); j1++){ /* Loop on covariates combination excluding varying and quantitatives */
1.220     brouard  3918:                 posproptt=0.;
                   3919:                 /*printf("cptcoveff=%d Tvaraff=%d", cptcoveff,Tvaraff[1]);
                   3920:                         scanf("%d", i);*/
                   3921:                 for (i=-5; i<=nlstate+ndeath; i++)  
                   3922:                         for (jk=-5; jk<=nlstate+ndeath; jk++)  
                   3923:                                 for(m=iagemin; m <= iagemax+3; m++)
                   3924:                                         freq[i][jk][m]=0;
                   3925:       
                   3926:                 for (i=1; i<=nlstate; i++)  {
                   3927:                         for(m=iagemin; m <= iagemax+3; m++)
                   3928:                                 prop[i][m]=0;
                   3929:                         posprop[i]=0;
                   3930:                         pospropt[i]=0;
                   3931:                 }
1.225   ! brouard  3932:                 for (z1=1; z1<= nqfveff; z1++) {  
1.224     brouard  3933:                         meanq[z1]+=0.;
                   3934:                         for(m=1;m<=lastpass;m++){
                   3935:                                 meanqt[m][z1]=0.;
                   3936:                         }
                   3937:                 }
1.220     brouard  3938:       
                   3939:                 dateintsum=0;
                   3940:                 k2cpt=0;
1.224     brouard  3941:      /* For that comination of covariate j1, we count and print the frequencies */
1.220     brouard  3942:                 for (iind=1; iind<=imx; iind++) { /* For each individual iind */
                   3943:                         bool=1;
1.225   ! brouard  3944:                         if (nqfveff >0) { /* Filter is here: Must be looked at for model=V1+V2+V3+V4 */
        !          3945:                                 for (z1=1; z1<= nqfveff; z1++) {  
1.224     brouard  3946:                                         meanq[z1]+=coqvar[Tvar[z1]][iind];
                   3947:                                 }
                   3948:                                 for (z1=1; z1<=ncoveff; z1++) {  
                   3949:                                         /* if(Tvaraff[z1] ==-20){ */
                   3950:                                         /*      /\* sumnew+=cotvar[mw[mi][iind]][z1][iind]; *\/ */
                   3951:                                         /* }else  if(Tvaraff[z1] ==-10){ */
                   3952:                                         /*      /\* sumnew+=coqvar[z1][iind]; *\/ */
                   3953:                                         /* }else  */
1.220     brouard  3954:                                         if (covar[Tvaraff[z1]][iind]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]){
1.224     brouard  3955:                                                 /* Tests if this individual i responded to j1 (V4=1 V3=0) */
1.220     brouard  3956:                                                 bool=0;
                   3957:                                                 /* 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", 
1.198     brouard  3958:                 bool,i,z1, z1, Tvaraff[z1],i,covar[Tvaraff[z1]][i],j1,z1,codtabm(j1,z1),
                   3959:                 j1,z1,nbcode[Tvaraff[z1]][codtabm(j1,z1)],j1);*/
1.220     brouard  3960:                                                 /* For j1=7 in V1+V2+V3+V4 = 0 1 1 0 and codtabm(7,3)=1 and nbcde[3][?]=1*/
                   3961:                                         } 
                   3962:                                 } /* end z1 */
                   3963:                         } /* cptcovn > 0 */
                   3964: 
1.224     brouard  3965:                         if (bool==1){ /* We selected an individual iin satisfying combination j1 */
1.220     brouard  3966:                                 /* for(m=firstpass; m<=lastpass; m++){ */
                   3967:                                 for(mi=1; mi<wav[iind];mi++){
                   3968:                                         m=mw[mi][iind];
                   3969:                                         /* dh[m][iind] or dh[mw[mi][iind]][iind] is the delay between two effective (mi) waves m=mw[mi][iind]
                   3970:                                                        and mw[mi+1][iind]. dh depends on stepm. */
                   3971:                                         agebegin=agev[m][iind]; /* Age at beginning of wave before transition*/
                   3972:                                         ageend=agev[m][iind]+(dh[m][iind])*stepm/YEARM; /* Age at end of wave and transition */
                   3973:                                         if(m >=firstpass && m <=lastpass){
                   3974:                                                 k2=anint[m][iind]+(mint[m][iind]/12.);
                   3975:                                                 /*if ((k2>=dateprev1) && (k2<=dateprev2)) {*/
                   3976:                                                 if(agev[m][iind]==0) agev[m][iind]=iagemax+1;  /* All ages equal to 0 are in iagemax+1 */
                   3977:                                                 if(agev[m][iind]==1) agev[m][iind]=iagemax+2;  /* All ages equal to 1 are in iagemax+2 */
                   3978:                                                 if (s[m][iind]>0 && s[m][iind]<=nlstate)  /* If status at wave m is known and a live state */
                   3979:                                                         prop[s[m][iind]][(int)agev[m][iind]] += weight[iind];  /* At age of beginning of transition, where status is known */
                   3980:                                                 if (m<lastpass) {
                   3981:                                                         /* if(s[m][iind]==4 && s[m+1][iind]==4) */
                   3982:                                                         /*   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]); */
                   3983:                                                         if(s[m][iind]==-1)
                   3984:                                                                 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.));
                   3985:                                                         freq[s[m][iind]][s[m+1][iind]][(int)agev[m][iind]] += weight[iind]; /* At age of beginning of transition, where status is known */
                   3986:                                                         /* freq[s[m][iind]][s[m+1][iind]][(int)((agebegin+ageend)/2.)] += weight[iind]; */
                   3987:                                                         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 */
                   3988:                                                 }
                   3989:                                         }  
                   3990:                                         if ((agev[m][iind]>1) && (agev[m][iind]< (iagemax+3)) && (anint[m][iind]!=9999) && (mint[m][iind]!=99)) {
                   3991:                                                 dateintsum=dateintsum+k2;
                   3992:                                                 k2cpt++;
                   3993:                                                 /* printf("iind=%ld dateintmean = %lf dateintsum=%lf k2cpt=%lf k2=%lf\n",iind, dateintsum/k2cpt, dateintsum,k2cpt, k2); */
                   3994:                                         }
                   3995:                                         /*}*/
                   3996:                                 } /* end m */
                   3997:                         } /* end bool */
                   3998:                 } /* end iind = 1 to imx */
                   3999:        /* prop[s][age] is feeded for any initial and valid live state as well as
                   4000:                                        freq[s1][s2][age] at single age of beginning the transition, for a combination j1 */
                   4001: 
                   4002: 
                   4003:                 /*      fprintf(ficresp, "#Count between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);*/
                   4004:                 pstamp(ficresp);
1.224     brouard  4005:                 if  (ncoveff>0) {
1.220     brouard  4006:                         fprintf(ficresp, "\n#********** Variable "); 
                   4007:                         fprintf(ficresphtm, "\n<br/><br/><h3>********** Variable "); 
                   4008:                         fprintf(ficresphtmfr, "\n<br/><br/><h3>********** Variable "); 
1.224     brouard  4009:                         for (z1=1; z1<=ncoveff; z1++){
1.220     brouard  4010:                                 fprintf(ficresp, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4011:                                 fprintf(ficresphtm, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4012:                                 fprintf(ficresphtmfr, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
                   4013:                         }
                   4014:                         fprintf(ficresp, "**********\n#");
                   4015:                         fprintf(ficresphtm, "**********</h3>\n");
                   4016:                         fprintf(ficresphtmfr, "**********</h3>\n");
                   4017:                         fprintf(ficlog, "\n#********** Variable "); 
1.224     brouard  4018:                         for (z1=1; z1<=ncoveff; z1++) fprintf(ficlog, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.220     brouard  4019:                         fprintf(ficlog, "**********\n");
                   4020:                 }
                   4021:                 fprintf(ficresphtm,"<table style=\"text-align:center; border: 1px solid\">");
                   4022:                 for(i=1; i<=nlstate;i++) {
                   4023:                         fprintf(ficresp, " Age Prev(%d) N(%d) N",i,i);
                   4024:                         fprintf(ficresphtm, "<th>Age</th><th>Prev(%d)</th><th>N(%d)</th><th>N</th>",i,i);
                   4025:                 }
                   4026:                 fprintf(ficresp, "\n");
                   4027:                 fprintf(ficresphtm, "\n");
                   4028:       
                   4029:                 /* Header of frequency table by age */
                   4030:                 fprintf(ficresphtmfr,"<table style=\"text-align:center; border: 1px solid\">");
                   4031:                 fprintf(ficresphtmfr,"<th>Age</th> ");
                   4032:                 for(jk=-1; jk <=nlstate+ndeath; jk++){
                   4033:                         for(m=-1; m <=nlstate+ndeath; m++){
                   4034:                                 if(jk!=0 && m!=0)
                   4035:                                         fprintf(ficresphtmfr,"<th>%d%d</th> ",jk,m);
                   4036:                         }
                   4037:                 }
                   4038:                 fprintf(ficresphtmfr, "\n");
1.214     brouard  4039:       
1.220     brouard  4040:                 /* For each age */
                   4041:                 for(iage=iagemin; iage <= iagemax+3; iage++){
                   4042:                         fprintf(ficresphtm,"<tr>");
                   4043:                         if(iage==iagemax+1){
                   4044:                                 fprintf(ficlog,"1");
                   4045:                                 fprintf(ficresphtmfr,"<tr><th>0</th> ");
                   4046:                         }else if(iage==iagemax+2){
                   4047:                                 fprintf(ficlog,"0");
                   4048:                                 fprintf(ficresphtmfr,"<tr><th>Unknown</th> ");
                   4049:                         }else if(iage==iagemax+3){
                   4050:                                 fprintf(ficlog,"Total");
                   4051:                                 fprintf(ficresphtmfr,"<tr><th>Total</th> ");
                   4052:                         }else{
                   4053:                                 if(first==1){
                   4054:                                         first=0;
                   4055:                                         printf("See log file for details...\n");
                   4056:                                 }
                   4057:                                 fprintf(ficresphtmfr,"<tr><th>%d</th> ",iage);
                   4058:                                 fprintf(ficlog,"Age %d", iage);
                   4059:                         }
                   4060:                         for(jk=1; jk <=nlstate ; jk++){
                   4061:                                 for(m=-1, pp[jk]=0; m <=nlstate+ndeath ; m++)
                   4062:                                         pp[jk] += freq[jk][m][iage]; 
                   4063:                         }
                   4064:                         for(jk=1; jk <=nlstate ; jk++){
                   4065:                                 for(m=-1, pos=0; m <=0 ; m++)
                   4066:                                         pos += freq[jk][m][iage];
                   4067:                                 if(pp[jk]>=1.e-10){
                   4068:                                         if(first==1){
                   4069:                                                 printf(" %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);
                   4070:                                         }
                   4071:                                         fprintf(ficlog," %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);
                   4072:                                 }else{
                   4073:                                         if(first==1)
                   4074:                                                 printf(" %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);
                   4075:                                         fprintf(ficlog," %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);
                   4076:                                 }
                   4077:                         }
                   4078: 
                   4079:                         for(jk=1; jk <=nlstate ; jk++){ 
                   4080:                                 /* posprop[jk]=0; */
                   4081:                                 for(m=0, pp[jk]=0; m <=nlstate+ndeath; m++)/* Summing on all ages */
                   4082:                                         pp[jk] += freq[jk][m][iage];
                   4083:                         }      /* pp[jk] is the total number of transitions starting from state jk and any ending status until this age */
                   4084: 
                   4085:                         for(jk=1,pos=0, pospropta=0.; jk <=nlstate ; jk++){
                   4086:                                 pos += pp[jk]; /* pos is the total number of transitions until this age */
                   4087:                                 posprop[jk] += prop[jk][iage]; /* prop is the number of transitions from a live state
                   4088:                                                                                                                                                                         from jk at age iage prop[s[m][iind]][(int)agev[m][iind]] += weight[iind] */
                   4089:                                 pospropta += prop[jk][iage]; /* prop is the number of transitions from a live state
                   4090:                                                                                                                                                                         from jk at age iage prop[s[m][iind]][(int)agev[m][iind]] += weight[iind] */
                   4091:                         }
                   4092:                         for(jk=1; jk <=nlstate ; jk++){
                   4093:                                 if(pos>=1.e-5){
                   4094:                                         if(first==1)
                   4095:                                                 printf(" %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);
                   4096:                                         fprintf(ficlog," %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);
                   4097:                                 }else{
                   4098:                                         if(first==1)
                   4099:                                                 printf(" %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);
                   4100:                                         fprintf(ficlog," %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);
                   4101:                                 }
                   4102:                                 if( iage <= iagemax){
                   4103:                                         if(pos>=1.e-5){
                   4104:                                                 fprintf(ficresp," %d %.5f %.0f %.0f",iage,prop[jk][iage]/pospropta, prop[jk][iage],pospropta);
                   4105:                                                 fprintf(ficresphtm,"<th>%d</th><td>%.5f</td><td>%.0f</td><td>%.0f</td>",iage,prop[jk][iage]/pospropta, prop[jk][iage],pospropta);
                   4106:                                                 /*probs[iage][jk][j1]= pp[jk]/pos;*/
                   4107:                                                 /*printf("\niage=%d jk=%d j1=%d %.5f %.0f %.0f %f",iage,jk,j1,pp[jk]/pos, pp[jk],pos,probs[iage][jk][j1]);*/
                   4108:                                         }
                   4109:                                         else{
                   4110:                                                 fprintf(ficresp," %d NaNq %.0f %.0f",iage,prop[jk][iage],pospropta);
                   4111:                                                 fprintf(ficresphtm,"<th>%d</th><td>NaNq</td><td>%.0f</td><td>%.0f</td>",iage, prop[jk][iage],pospropta);
                   4112:                                         }
                   4113:                                 }
                   4114:                                 pospropt[jk] +=posprop[jk];
                   4115:                         } /* end loop jk */
                   4116:                         /* pospropt=0.; */
                   4117:                         for(jk=-1; jk <=nlstate+ndeath; jk++){
                   4118:                                 for(m=-1; m <=nlstate+ndeath; m++){
                   4119:                                         if(freq[jk][m][iage] !=0 ) { /* minimizing output */
                   4120:                                                 if(first==1){
                   4121:                                                         printf(" %d%d=%.0f",jk,m,freq[jk][m][iage]);
                   4122:                                                 }
                   4123:                                                 fprintf(ficlog," %d%d=%.0f",jk,m,freq[jk][m][iage]);
                   4124:                                         }
                   4125:                                         if(jk!=0 && m!=0)
                   4126:                                                 fprintf(ficresphtmfr,"<td>%.0f</td> ",freq[jk][m][iage]);
                   4127:                                 }
                   4128:                         } /* end loop jk */
                   4129:                         posproptt=0.; 
                   4130:                         for(jk=1; jk <=nlstate; jk++){
                   4131:                                 posproptt += pospropt[jk];
                   4132:                         }
                   4133:                         fprintf(ficresphtmfr,"</tr>\n ");
                   4134:                         if(iage <= iagemax){
                   4135:                                 fprintf(ficresp,"\n");
                   4136:                                 fprintf(ficresphtm,"</tr>\n");
                   4137:                         }
                   4138:                         if(first==1)
                   4139:                                 printf("Others in log...\n");
                   4140:                         fprintf(ficlog,"\n");
                   4141:                 } /* end loop age iage */
                   4142:                 fprintf(ficresphtm,"<tr><th>Tot</th>");
                   4143:                 for(jk=1; jk <=nlstate ; jk++){
                   4144:                         if(posproptt < 1.e-5){
1.221     brouard  4145:                                 fprintf(ficresphtm,"<td>Nanq</td><td>%.0f</td><td>%.0f</td>",pospropt[jk],posproptt);  
                   4146:                         }else{
1.220     brouard  4147:                                 fprintf(ficresphtm,"<td>%.5f</td><td>%.0f</td><td>%.0f</td>",pospropt[jk]/posproptt,pospropt[jk],posproptt);   
                   4148:                         }
                   4149:                 }
                   4150:                 fprintf(ficresphtm,"</tr>\n");
                   4151:                 fprintf(ficresphtm,"</table>\n");
                   4152:                 fprintf(ficresphtmfr,"</table>\n");
                   4153:                 if(posproptt < 1.e-5){
                   4154:                         fprintf(ficresphtm,"\n <p><b> This combination (%d) is not valid and no result will be produced</b></p>",j1);
                   4155:                         fprintf(ficresphtmfr,"\n <p><b> This combination (%d) is not valid and no result will be produced</b></p>",j1);
                   4156:                         fprintf(ficres,"\n  This combination (%d) is not valid and no result will be produced\n\n",j1);
                   4157:                         invalidvarcomb[j1]=1;
                   4158:                 }else{
                   4159:                         fprintf(ficresphtm,"\n <p> This combination (%d) is valid and result will be produced.</p>",j1);
                   4160:                         invalidvarcomb[j1]=0;
                   4161:                 }
                   4162:                 fprintf(ficresphtmfr,"</table>\n");
                   4163:         } /* end selected combination of covariate j1 */
                   4164:         dateintmean=dateintsum/k2cpt; 
                   4165:                 
                   4166:         fclose(ficresp);
                   4167:         fclose(ficresphtm);
                   4168:         fclose(ficresphtmfr);
1.225   ! brouard  4169:         free_vector(meanq,1,nqfveff);
1.224     brouard  4170:         free_matrix(meanqt,1,lastpass,1,nqtveff);
1.220     brouard  4171:         free_ma3x(freq,-5,nlstate+ndeath,-5,nlstate+ndeath, iagemin-AGEMARGE, iagemax+3+AGEMARGE);
                   4172:         free_vector(pospropt,1,nlstate);
                   4173:         free_vector(posprop,1,nlstate);
                   4174:         free_matrix(prop,1,nlstate,iagemin-AGEMARGE, iagemax+3+AGEMARGE);
                   4175:         free_vector(pp,1,nlstate);
1.224     brouard  4176:         /* End of freqsummary */
1.220     brouard  4177:  }
1.126     brouard  4178: 
                   4179: /************ Prevalence ********************/
1.222     brouard  4180:  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)
                   4181:  {  
                   4182:    /* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people
                   4183:       in each health status at the date of interview (if between dateprev1 and dateprev2).
                   4184:       We still use firstpass and lastpass as another selection.
                   4185:    */
1.126     brouard  4186:  
1.222     brouard  4187:    int i, m, jk, j1, bool, z1,j;
                   4188:    int mi; /* Effective wave */
                   4189:    int iage;
                   4190:    double agebegin, ageend;
                   4191: 
                   4192:    double **prop;
                   4193:    double posprop; 
                   4194:    double  y2; /* in fractional years */
                   4195:    int iagemin, iagemax;
                   4196:    int first; /** to stop verbosity which is redirected to log file */
                   4197: 
                   4198:    iagemin= (int) agemin;
                   4199:    iagemax= (int) agemax;
                   4200:    /*pp=vector(1,nlstate);*/
                   4201:    prop=matrix(1,nlstate,iagemin-AGEMARGE,iagemax+3+AGEMARGE); 
                   4202:    /*  freq=ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,iagemin,iagemax+3);*/
                   4203:    j1=0;
                   4204:   
                   4205:    /*j=cptcoveff;*/
                   4206:    if (cptcovn<1) {j=1;ncodemax[1]=1;}
                   4207:   
                   4208:    first=1;
1.225   ! brouard  4209:    for(j1=1; j1<= (int) pow(2,cptcoveff);j1++){ /* For each combination of covariate */
1.222     brouard  4210:      for (i=1; i<=nlstate; i++)  
                   4211:        for(iage=iagemin-AGEMARGE; iage <= iagemax+3+AGEMARGE; iage++)
                   4212:         prop[i][iage]=0.0;
                   4213:     
                   4214:      for (i=1; i<=imx; i++) { /* Each individual */
                   4215:        bool=1;
                   4216:        if  (cptcovn>0) {  /* Filter is here: Must be looked at for model=V1+V2+V3+V4 */
1.225   ! brouard  4217:         for (z1=1; z1<=cptcoveff; z1++) /* For each covariate, look at the value for individual i and checks if it is equal to the corresponding value of this covariate according to current combination j1*/
1.222     brouard  4218:           if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]) 
                   4219:             bool=0;
                   4220:        } 
                   4221:        if (bool==1) { /* For this combination of covariates values, this individual fits */
                   4222:         /* for(m=firstpass; m<=lastpass; m++){/\* Other selection (we can limit to certain interviews*\/ */
                   4223:         for(mi=1; mi<wav[i];mi++){
                   4224:           m=mw[mi][i];
                   4225:           agebegin=agev[m][i]; /* Age at beginning of wave before transition*/
                   4226:           /* ageend=agev[m][i]+(dh[m][i])*stepm/YEARM; /\* Age at end of wave and transition *\/ */
                   4227:           if(m >=firstpass && m <=lastpass){
                   4228:             y2=anint[m][i]+(mint[m][i]/12.); /* Fractional date in year */
                   4229:             if ((y2>=dateprev1) && (y2<=dateprev2)) { /* Here is the main selection (fractional years) */
                   4230:               if(agev[m][i]==0) agev[m][i]=iagemax+1;
                   4231:               if(agev[m][i]==1) agev[m][i]=iagemax+2;
                   4232:               if((int)agev[m][i] <iagemin-AGEMARGE || (int)agev[m][i] >iagemax+3+AGEMARGE){
                   4233:                 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); 
                   4234:                 exit(1);
                   4235:               }
                   4236:               if (s[m][i]>0 && s[m][i]<=nlstate) { 
                   4237:                 /*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]]);*/
                   4238:                 prop[s[m][i]][(int)agev[m][i]] += weight[i];/* At age of beginning of transition, where status is known */
                   4239:                 prop[s[m][i]][iagemax+3] += weight[i]; 
                   4240:               } /* end valid statuses */ 
                   4241:             } /* end selection of dates */
                   4242:           } /* end selection of waves */
                   4243:         } /* end effective waves */
                   4244:        } /* end bool */
                   4245:      }
                   4246:      for(i=iagemin; i <= iagemax+3; i++){  
                   4247:        for(jk=1,posprop=0; jk <=nlstate ; jk++) { 
                   4248:         posprop += prop[jk][i]; 
                   4249:        } 
                   4250:       
                   4251:        for(jk=1; jk <=nlstate ; jk++){     
                   4252:         if( i <=  iagemax){ 
                   4253:           if(posprop>=1.e-5){ 
                   4254:             probs[i][jk][j1]= prop[jk][i]/posprop;
                   4255:           } else{
                   4256:             if(first==1){
                   4257:               first=0;
                   4258:               printf("Warning Observed prevalence probs[%d][%d][%d]=%lf because of lack of cases\nSee others on log file...\n",jk,i,j1,probs[i][jk][j1]);
                   4259:             }
                   4260:           }
                   4261:         } 
                   4262:        }/* end jk */ 
                   4263:      }/* end i */ 
                   4264:      /*} *//* end i1 */
                   4265:    } /* end j1 */
                   4266:   
                   4267:    /*  free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath, iagemin, iagemax+3);*/
                   4268:    /*free_vector(pp,1,nlstate);*/
                   4269:    free_matrix(prop,1,nlstate, iagemin-AGEMARGE,iagemax+3+AGEMARGE);
                   4270:  }  /* End of prevalence */
1.126     brouard  4271: 
                   4272: /************* Waves Concatenation ***************/
                   4273: 
                   4274: 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)
                   4275: {
                   4276:   /* Concatenates waves: wav[i] is the number of effective (useful waves) of individual i.
                   4277:      Death is a valid wave (if date is known).
                   4278:      mw[mi][i] is the mi (mi=1 to wav[i])  effective wave of individual i
                   4279:      dh[m][i] or dh[mw[mi][i]][i] is the delay between two effective waves m=mw[mi][i]
                   4280:      and mw[mi+1][i]. dh depends on stepm.
                   4281:      */
                   4282: 
1.224     brouard  4283:   int i=0, mi=0, m=0, mli=0;
1.126     brouard  4284:   /* int j, k=0,jk, ju, jl,jmin=1e+5, jmax=-1;
                   4285:      double sum=0., jmean=0.;*/
1.224     brouard  4286:   int first=0, firstwo=0, firsthree=0, firstfour=0, firstfiv=0;
1.126     brouard  4287:   int j, k=0,jk, ju, jl;
                   4288:   double sum=0.;
                   4289:   first=0;
1.214     brouard  4290:   firstwo=0;
1.217     brouard  4291:   firsthree=0;
1.218     brouard  4292:   firstfour=0;
1.164     brouard  4293:   jmin=100000;
1.126     brouard  4294:   jmax=-1;
                   4295:   jmean=0.;
1.224     brouard  4296: 
                   4297: /* Treating live states */
1.214     brouard  4298:   for(i=1; i<=imx; i++){  /* For simple cases and if state is death */
1.224     brouard  4299:     mi=0;  /* First valid wave */
                   4300:                mli=0; /* Last valid wave */
1.126     brouard  4301:     m=firstpass;
1.214     brouard  4302:     while(s[m][i] <= nlstate){  /* a live state */
1.224     brouard  4303:                        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 */
                   4304:                                mli=m-1;/* mw[++mi][i]=m-1; */
                   4305:                        }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 */
1.223     brouard  4306:                                mw[++mi][i]=m;
1.224     brouard  4307:                                mli=m;
                   4308:       } /* else might be a useless wave  -1 and mi is not incremented and mw[mi] not updated */
                   4309:       if(m < lastpass){ /* m < lastpass, standard case */
                   4310:                                m++; /* mi gives the "effective" current wave, m the current wave, go to next wave by incrementing m */
1.216     brouard  4311:       }
1.224     brouard  4312:                        else{ /* m >= lastpass, eventual special issue with warning */
                   4313: #ifdef UNKNOWNSTATUSNOTCONTRIBUTING
                   4314:                                break;
                   4315: #else
1.223     brouard  4316:                                if(s[m][i]==-1 && (int) andc[i] == 9999 && (int)anint[m][i] != 9999){
                   4317:                                        if(firsthree == 0){
1.224     brouard  4318:                                                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);
1.223     brouard  4319:                                                firsthree=1;
                   4320:                                        }
1.224     brouard  4321:                                        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);
1.223     brouard  4322:                                        mw[++mi][i]=m;
1.224     brouard  4323:                                        mli=m;
1.223     brouard  4324:                                }
                   4325:                                if(s[m][i]==-2){ /* Vital status is really unknown */
                   4326:                                        nbwarn++;
                   4327:                                        if((int)anint[m][i] == 9999){  /*  Has the vital status really been verified? */
                   4328:                                                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);
1.224     brouard  4329:                                                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);
1.223     brouard  4330:                                        }
                   4331:                                        break;
                   4332:                                }
                   4333:                                break;
1.224     brouard  4334: #endif
                   4335:                        }/* End m >= lastpass */
1.126     brouard  4336:     }/* end while */
1.224     brouard  4337: 
                   4338:        /* 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  4339:     /* After last pass */
1.224     brouard  4340: /* Treating death states */
1.214     brouard  4341:     if (s[m][i] > nlstate){  /* In a death state */
1.224     brouard  4342:                        /* if( mint[m][i]==mdc[m][i] && anint[m][i]==andc[m][i]){ /\* same date of death and date of interview *\/ */
                   4343:                        /* } */
1.126     brouard  4344:       mi++;    /* Death is another wave */
                   4345:       /* if(mi==0)  never been interviewed correctly before death */
1.223     brouard  4346:                        /* Only death is a correct wave */
1.126     brouard  4347:       mw[mi][i]=m;
1.224     brouard  4348:     }
                   4349: #ifndef DISPATCHINGKNOWNDEATHAFTERLASTWAVE
                   4350:                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  4351:       /* m++; */
                   4352:       /* mi++; */
                   4353:       /* s[m][i]=nlstate+1;  /\* We are setting the status to the last of non live state *\/ */
                   4354:       /* mw[mi][i]=m; */
1.218     brouard  4355:       if ((int)anint[m][i]!= 9999) { /* date of last interview is known */
1.224     brouard  4356:                                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 */
                   4357:                                        nbwarn++;
                   4358:                                        if(firstfiv==0){
                   4359:                                                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 );
                   4360:                                                firstfiv=1;
                   4361:                                        }else{
                   4362:                                                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 );
                   4363:                                        }
                   4364:                                }else{ /* Death occured afer last wave potential bias */
                   4365:                                        nberr++;
                   4366:                                        if(firstwo==0){
                   4367:                                                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 );
                   4368:                                                firstwo=1;
                   4369:                                        }
                   4370:                                        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 );
1.223     brouard  4371:                                }
1.218     brouard  4372:       }else{ /* end date of interview is known */
1.223     brouard  4373:                                /* death is known but not confirmed by death status at any wave */
                   4374:                                if(firstfour==0){
                   4375:                                        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 );
                   4376:                                        firstfour=1;
                   4377:                                }
                   4378:                                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  4379:       }
1.224     brouard  4380:     } /* end if date of death is known */
                   4381: #endif
                   4382:     wav[i]=mi; /* mi should be the last effective wave (or mli) */
                   4383:     /* wav[i]=mw[mi][i]; */
1.126     brouard  4384:     if(mi==0){
                   4385:       nbwarn++;
                   4386:       if(first==0){
1.223     brouard  4387:                                printf("Warning! No valid information for individual %ld line=%d (skipped) and may be others, see log file\n",num[i],i);
                   4388:                                first=1;
1.126     brouard  4389:       }
                   4390:       if(first==1){
1.223     brouard  4391:                                fprintf(ficlog,"Warning! No valid information for individual %ld line=%d (skipped)\n",num[i],i);
1.126     brouard  4392:       }
                   4393:     } /* end mi==0 */
                   4394:   } /* End individuals */
1.214     brouard  4395:   /* wav and mw are no more changed */
1.223     brouard  4396:        
1.214     brouard  4397:   
1.126     brouard  4398:   for(i=1; i<=imx; i++){
                   4399:     for(mi=1; mi<wav[i];mi++){
                   4400:       if (stepm <=0)
1.223     brouard  4401:                                dh[mi][i]=1;
1.126     brouard  4402:       else{
1.223     brouard  4403:                                if (s[mw[mi+1][i]][i] > nlstate) { /* A death */
                   4404:                                        if (agedc[i] < 2*AGESUP) {
                   4405:                                                j= rint(agedc[i]*12-agev[mw[mi][i]][i]*12); 
                   4406:                                                if(j==0) j=1;  /* Survives at least one month after exam */
                   4407:                                                else if(j<0){
                   4408:                                                        nberr++;
                   4409:                                                        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]);
                   4410:                                                        j=1; /* Temporary Dangerous patch */
                   4411:                                                        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);
                   4412:                                                        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]);
                   4413:                                                        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);
                   4414:                                                }
                   4415:                                                k=k+1;
                   4416:                                                if (j >= jmax){
                   4417:                                                        jmax=j;
                   4418:                                                        ijmax=i;
                   4419:                                                }
                   4420:                                                if (j <= jmin){
                   4421:                                                        jmin=j;
                   4422:                                                        ijmin=i;
                   4423:                                                }
                   4424:                                                sum=sum+j;
                   4425:                                                /*if (j<0) printf("j=%d num=%d \n",j,i);*/
                   4426:                                                /*        printf("%d %d %d %d\n", s[mw[mi][i]][i] ,s[mw[mi+1][i]][i],j,i);*/
                   4427:                                        }
                   4428:                                }
                   4429:                                else{
                   4430:                                        j= rint( (agev[mw[mi+1][i]][i]*12 - agev[mw[mi][i]][i]*12));
1.126     brouard  4431: /*       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  4432:                                        
                   4433:                                        k=k+1;
                   4434:                                        if (j >= jmax) {
                   4435:                                                jmax=j;
                   4436:                                                ijmax=i;
                   4437:                                        }
                   4438:                                        else if (j <= jmin){
                   4439:                                                jmin=j;
                   4440:                                                ijmin=i;
                   4441:                                        }
                   4442:                                        /*          if (j<10) printf("j=%d jmin=%d num=%d ",j,jmin,i); */
                   4443:                                        /*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]);*/
                   4444:                                        if(j<0){
                   4445:                                                nberr++;
                   4446:                                                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]);
                   4447:                                                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]);
                   4448:                                        }
                   4449:                                        sum=sum+j;
                   4450:                                }
                   4451:                                jk= j/stepm;
                   4452:                                jl= j -jk*stepm;
                   4453:                                ju= j -(jk+1)*stepm;
                   4454:                                if(mle <=1){ /* only if we use a the linear-interpoloation pseudo-likelihood */
                   4455:                                        if(jl==0){
                   4456:                                                dh[mi][i]=jk;
                   4457:                                                bh[mi][i]=0;
                   4458:                                        }else{ /* We want a negative bias in order to only have interpolation ie
                   4459:                                                                        * to avoid the price of an extra matrix product in likelihood */
                   4460:                                                dh[mi][i]=jk+1;
                   4461:                                                bh[mi][i]=ju;
                   4462:                                        }
                   4463:                                }else{
                   4464:                                        if(jl <= -ju){
                   4465:                                                dh[mi][i]=jk;
                   4466:                                                bh[mi][i]=jl;   /* bias is positive if real duration
                   4467:                                                                                                         * is higher than the multiple of stepm and negative otherwise.
                   4468:                                                                                                         */
                   4469:                                        }
                   4470:                                        else{
                   4471:                                                dh[mi][i]=jk+1;
                   4472:                                                bh[mi][i]=ju;
                   4473:                                        }
                   4474:                                        if(dh[mi][i]==0){
                   4475:                                                dh[mi][i]=1; /* At least one step */
                   4476:                                                bh[mi][i]=ju; /* At least one step */
                   4477:                                                /*  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);*/
                   4478:                                        }
                   4479:                                } /* end if mle */
1.126     brouard  4480:       }
                   4481:     } /* end wave */
                   4482:   }
                   4483:   jmean=sum/k;
                   4484:   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  4485:   fprintf(ficlog,"Delay (in months) between two waves Min=%d (for indiviudal %d) Max=%d (%d) Mean=%f\n\n ",jmin, ijmin, jmax, ijmax, jmean);
1.126     brouard  4486:  }
                   4487: 
                   4488: /*********** Tricode ****************************/
1.220     brouard  4489:  void tricode(int *cptcov, int *Tvar, int **nbcode, int imx, int *Ndum)
1.126     brouard  4490: {
1.144     brouard  4491:   /**< Uses cptcovn+2*cptcovprod as the number of covariates */
                   4492:   /*     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  4493:    * Boring subroutine which should only output nbcode[Tvar[j]][k]
1.224     brouard  4494:    * Tvar[5] in V2+V1+V3*age+V2*V4 is 4 (V4) even it is a time varying or quantitative variable
                   4495:    * nbcode[Tvar[5]][1]= nbcode[4][1]=0, nbcode[4][2]=1 (usually);
1.144     brouard  4496:   */
1.130     brouard  4497: 
1.145     brouard  4498:   int ij=1, k=0, j=0, i=0, maxncov=NCOVMAX;
1.136     brouard  4499:   int modmaxcovj=0; /* Modality max of covariates j */
1.145     brouard  4500:   int cptcode=0; /* Modality max of covariates j */
                   4501:   int modmincovj=0; /* Modality min of covariates j */
                   4502: 
                   4503: 
1.220     brouard  4504:   /* cptcoveff=0;  */
1.224     brouard  4505:        /* *cptcov=0; */
1.126     brouard  4506:  
1.144     brouard  4507:   for (k=1; k <= maxncov; k++) ncodemax[k]=0; /* Horrible constant again replaced by NCOVMAX */
1.126     brouard  4508: 
1.224     brouard  4509:   /* Loop on covariates without age and products and no quantitative variable */
                   4510:   /* for (j=1; j<=(cptcovs); j++) { /\* From model V1 + V2*age+ V3 + V3*V4 keeps V1 + V3 = 2 only *\/ */
1.225   ! brouard  4511:   for (j=1; j<=cptcovsnq; j++) { /* From model V1 + V2*age + V3 + V3*V4 keeps V1 + V3 = 2 only */
1.192     brouard  4512:     for (k=-1; k < maxncov; k++) Ndum[k]=0;
1.186     brouard  4513:     for (i=1; i<=imx; i++) { /* Loop on individuals: reads the data file to get the maximum value of the 
1.225   ! brouard  4514:                                modality of this covariate Vj*/
        !          4515:       switch(Typevar[j]) {
        !          4516:       case 1: /* A real fixed dummy covariate */
        !          4517:        ij=(int)(covar[Tvar[j]][i]); /* ij=0 or 1 or -1. Value of the covariate Tvar[j] for individual i
        !          4518:                                      * If product of Vn*Vm, still boolean *:
        !          4519:                                      * If it was coded 1, 2, 3, 4 should be splitted into 3 boolean variables
        !          4520:                                      * 1 => 0 0 0, 2 => 0 0 1, 3 => 0 1 1, 4=1 0 0   */
        !          4521:        /* Finds for covariate j, n=Tvar[j] of Vn . ij is the
        !          4522:           modality of the nth covariate of individual i. */
        !          4523:        if (ij > modmaxcovj)
        !          4524:          modmaxcovj=ij; 
        !          4525:        else if (ij < modmincovj) 
        !          4526:          modmincovj=ij; 
        !          4527:        if ((ij < -1) && (ij > NCOVMAX)){
        !          4528:          printf( "Error: minimal is less than -1 or maximal is bigger than %d. Exiting. \n", NCOVMAX );
        !          4529:          exit(1);
        !          4530:        }else
        !          4531:          Ndum[ij]++; /*counts and stores the occurence of this modality 0, 1, -1*/
        !          4532:        /*  If coded 1, 2, 3 , counts the number of 1 Ndum[1], number of 2, Ndum[2], etc */
        !          4533:        /*printf("i=%d ij=%d Ndum[ij]=%d imx=%d",i,ij,Ndum[ij],imx);*/
        !          4534:        /* getting the maximum value of the modality of the covariate
        !          4535:           (should be 0 or 1 now) Tvar[j]. If V=sex and male is coded 0 and
        !          4536:           female ies 1, then modmaxcovj=1.*/
        !          4537:        break;
        !          4538:       case 2:
        !          4539:        break;
        !          4540: 
        !          4541:       }
        !          4542:     } /* end for loop on individuals i */
1.145     brouard  4543:     printf(" Minimal and maximal values of %d th covariate V%d: min=%d max=%d \n", j, Tvar[j], modmincovj, modmaxcovj);
1.192     brouard  4544:     fprintf(ficlog," Minimal and maximal values of %d th covariate V%d: min=%d max=%d \n", j, Tvar[j], modmincovj, modmaxcovj);
1.145     brouard  4545:     cptcode=modmaxcovj;
1.137     brouard  4546:     /* Ndum[0] = frequency of 0 for model-covariate j, Ndum[1] frequency of 1 etc. */
1.225   ! brouard  4547:     /*for (i=0; i<=cptcode; i++) {*/
1.192     brouard  4548:     for (k=modmincovj;  k<=modmaxcovj; k++) { /* k=-1 ? 0 and 1*//* For each value k of the modality of model-cov j */
                   4549:       printf("Frequencies of covariates %d ie V%d with value %d: %d\n", j, Tvar[j], k, Ndum[k]);
                   4550:       fprintf(ficlog, "Frequencies of covariates %d ie V%d with value %d: %d\n", j, Tvar[j], k, Ndum[k]);
                   4551:       if( Ndum[k] != 0 ){ /* Counts if nobody answered modality k ie empty modality, we skip it and reorder */
1.225   ! brouard  4552:        if( k != -1){
        !          4553:          ncodemax[j]++;  /* ncodemax[j]= Number of modalities of the j th
        !          4554:                             covariate for which somebody answered excluding 
        !          4555:                             undefined. Usually 2: 0 and 1. */
        !          4556:        }
        !          4557:        ncodemaxwundef[j]++; /* ncodemax[j]= Number of modalities of the j th
        !          4558:                                covariate for which somebody answered including 
        !          4559:                                undefined. Usually 3: -1, 0 and 1. */
1.145     brouard  4560:       }
                   4561:       /* In fact  ncodemax[j]=2 (dichotom. variables only) but it could be more for
1.225   ! brouard  4562:        * historical reasons: 3 if coded 1, 2, 3 and 4 and Ndum[2]=0 */
1.131     brouard  4563:     } /* Ndum[-1] number of undefined modalities */
1.225   ! brouard  4564:     
1.136     brouard  4565:     /* j is a covariate, n=Tvar[j] of Vn; Fills nbcode */
1.186     brouard  4566:     /* For covariate j, modalities could be 1, 2, 3, 4, 5, 6, 7. 
                   4567:        If Ndum[1]=0, Ndum[2]=0, Ndum[3]= 635, Ndum[4]=0, Ndum[5]=0, Ndum[6]=27, Ndum[7]=125;
1.145     brouard  4568:        modmincovj=3; modmaxcovj = 7;
1.186     brouard  4569:        There are only 3 modalities non empty 3, 6, 7 (or 2 if 27 is too few) : ncodemax[j]=3;
                   4570:        which will be coded 0, 1, 2 which in binary on 2=3-1 digits are 0=00 1=01, 2=10;
                   4571:        defining two dummy variables: variables V1_1 and V1_2.
1.145     brouard  4572:        nbcode[Tvar[j]][ij]=k;
                   4573:        nbcode[Tvar[j]][1]=0;
                   4574:        nbcode[Tvar[j]][2]=1;
                   4575:        nbcode[Tvar[j]][3]=2;
1.197     brouard  4576:        To be continued (not working yet).
1.145     brouard  4577:     */
1.197     brouard  4578:     ij=0; /* ij is similar to i but can jump over null modalities */
                   4579:     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*/
1.225   ! brouard  4580:       if (Ndum[i] == 0) { /* If nobody responded to this modality k */
        !          4581:        break;
        !          4582:       }
        !          4583:       ij++;
        !          4584:       nbcode[Tvar[j]][ij]=i;  /* stores the original value of modality i in an array nbcode, ij modality from 1 to last non-nul modality.*/
        !          4585:       cptcode = ij; /* New max modality for covar j */
1.192     brouard  4586:     } /* end of loop on modality i=-1 to 1 or more */
1.225   ! brouard  4587:     
1.192     brouard  4588:     /*   for (k=0; k<= cptcode; k++) { /\* k=-1 ? k=0 to 1 *\//\* Could be 1 to 4 *\//\* cptcode=modmaxcovj *\/ */
                   4589:     /*         /\*recode from 0 *\/ */
                   4590:     /*                                      k is a modality. If we have model=V1+V1*sex  */
                   4591:     /*                                      then: nbcode[1][1]=0 ; nbcode[1][2]=1; nbcode[2][1]=0 ; nbcode[2][2]=1; */
                   4592:     /*                                   But if some modality were not used, it is recoded from 0 to a newer modmaxcovj=cptcode *\/ */
                   4593:     /*         } */
                   4594:     /*         /\* cptcode = ij; *\/ /\* New max modality for covar j *\/ */
                   4595:     /*         if (ij > ncodemax[j]) { */
                   4596:     /*           printf( " Error ij=%d > ncodemax[%d]=%d\n", ij, j, ncodemax[j]);  */
                   4597:     /*           fprintf(ficlog, " Error ij=%d > ncodemax[%d]=%d\n", ij, j, ncodemax[j]); */
                   4598:     /*           break; */
                   4599:     /*         } */
                   4600:     /*   }  /\* end of loop on modality k *\/ */
1.137     brouard  4601:   } /* end of loop on model-covariate j. nbcode[Tvarj][1]=0 and nbcode[Tvarj][2]=1 sets the value of covariate j*/  
                   4602:   
1.225   ! brouard  4603:   for (k=-1; k< maxncov; k++) Ndum[k]=0; 
1.137     brouard  4604:   
1.187     brouard  4605:   for (i=1; i<=ncovmodel-2-nagesqr; i++) { /* -2, cste and age and eventually age*age */ 
1.225   ! brouard  4606:     /* Listing of all covariables in statement model to see if some covariates appear twice. For example, V1 appears twice in V1+V1*V2.*/ 
        !          4607:     ij=Tvar[i]; /* Tvar might be -1 if status was unknown */ 
        !          4608:     Ndum[ij]++; /* Might be supersed V1 + V1*age */
        !          4609:   } /* V4+V3+V5, Ndum[1]@5={0, 0, 1, 1, 1} */
        !          4610:   
        !          4611:   ij=0;
        !          4612:   for (i=0; i<=  maxncov-1; i++) { /* modmaxcovj is unknown here. Only Ndum[2(V2),3(age*V3), 5(V3*V2) 6(V1*V4) */
        !          4613:     /*printf("Ndum[%d]=%d\n",i, Ndum[i]);*/
        !          4614:     if((Ndum[i]!=0) && (i<=ncovcol)){
        !          4615:       /*printf("diff Ndum[%d]=%d\n",i, Ndum[i]);*/
        !          4616:       Tvaraff[++ij]=i; /*For printing (unclear) */
        !          4617:     }else if((Ndum[i]!=0) && (i<=ncovcol+nqv)){
        !          4618:       Tvaraff[++ij]=-10; /* Dont'n know how to treat quantitative variables yet */
        !          4619:     }else if((Ndum[i]!=0) && (i<=ncovcol+nqv+ntv)){
        !          4620:       Tvaraff[++ij]=i; /*For printing (unclear) */
        !          4621:     }else if((Ndum[i]!=0) && (i<=ncovcol+nqv+ntv+nqtv)){
        !          4622:       Tvaraff[++ij]=-20; /* Dont'n know how to treat quantitative variables yet */
        !          4623:     }
        !          4624:   } /* Tvaraff[1]@5 {3, 4, -20, 0, 0} Very strange */
        !          4625:   /* ij--; */
        !          4626:   /* cptcoveff=ij; /\*Number of total covariates*\/ */
        !          4627:   *cptcov=ij; /*Number of total real effective covariates: effective
        !          4628:               * because they can be excluded from the model and real
        !          4629:               * if in the model but excluded because missing values*/
1.126     brouard  4630: }
                   4631: 
1.145     brouard  4632: 
1.126     brouard  4633: /*********** Health Expectancies ****************/
                   4634: 
1.127     brouard  4635: 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  4636: 
                   4637: {
                   4638:   /* Health expectancies, no variances */
1.164     brouard  4639:   int i, j, nhstepm, hstepm, h, nstepm;
1.126     brouard  4640:   int nhstepma, nstepma; /* Decreasing with age */
                   4641:   double age, agelim, hf;
                   4642:   double ***p3mat;
                   4643:   double eip;
                   4644: 
                   4645:   pstamp(ficreseij);
                   4646:   fprintf(ficreseij,"# (a) Life expectancies by health status at initial age and (b) health expectancies by health status at initial age\n");
                   4647:   fprintf(ficreseij,"# Age");
                   4648:   for(i=1; i<=nlstate;i++){
                   4649:     for(j=1; j<=nlstate;j++){
                   4650:       fprintf(ficreseij," e%1d%1d ",i,j);
                   4651:     }
                   4652:     fprintf(ficreseij," e%1d. ",i);
                   4653:   }
                   4654:   fprintf(ficreseij,"\n");
                   4655: 
                   4656:   
                   4657:   if(estepm < stepm){
                   4658:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   4659:   }
                   4660:   else  hstepm=estepm;   
                   4661:   /* We compute the life expectancy from trapezoids spaced every estepm months
                   4662:    * This is mainly to measure the difference between two models: for example
                   4663:    * if stepm=24 months pijx are given only every 2 years and by summing them
                   4664:    * we are calculating an estimate of the Life Expectancy assuming a linear 
                   4665:    * progression in between and thus overestimating or underestimating according
                   4666:    * to the curvature of the survival function. If, for the same date, we 
                   4667:    * estimate the model with stepm=1 month, we can keep estepm to 24 months
                   4668:    * to compare the new estimate of Life expectancy with the same linear 
                   4669:    * hypothesis. A more precise result, taking into account a more precise
                   4670:    * curvature will be obtained if estepm is as small as stepm. */
                   4671: 
                   4672:   /* For example we decided to compute the life expectancy with the smallest unit */
                   4673:   /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
                   4674:      nhstepm is the number of hstepm from age to agelim 
                   4675:      nstepm is the number of stepm from age to agelin. 
                   4676:      Look at hpijx to understand the reason of that which relies in memory size
                   4677:      and note for a fixed period like estepm months */
                   4678:   /* We decided (b) to get a life expectancy respecting the most precise curvature of the
                   4679:      survival function given by stepm (the optimization length). Unfortunately it
                   4680:      means that if the survival funtion is printed only each two years of age and if
                   4681:      you sum them up and add 1 year (area under the trapezoids) you won't get the same 
                   4682:      results. So we changed our mind and took the option of the best precision.
                   4683:   */
                   4684:   hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
                   4685: 
                   4686:   agelim=AGESUP;
                   4687:   /* If stepm=6 months */
                   4688:     /* Computed by stepm unit matrices, product of hstepm matrices, stored
                   4689:        in an array of nhstepm length: nhstepm=10, hstepm=4, stepm=6 months */
                   4690:     
                   4691: /* nhstepm age range expressed in number of stepm */
                   4692:   nstepm=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
                   4693:   /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   4694:   /* if (stepm >= YEARM) hstepm=1;*/
                   4695:   nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
                   4696:   p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   4697: 
                   4698:   for (age=bage; age<=fage; age ++){ 
                   4699:     nstepma=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
                   4700:     /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   4701:     /* if (stepm >= YEARM) hstepm=1;*/
                   4702:     nhstepma = nstepma/hstepm;/* Expressed in hstepm, typically nhstepma=40/4=10 */
                   4703: 
                   4704:     /* If stepm=6 months */
                   4705:     /* Computed by stepm unit matrices, product of hstepma matrices, stored
                   4706:        in an array of nhstepma length: nhstepma=10, hstepm=4, stepm=6 months */
                   4707:     
                   4708:     hpxij(p3mat,nhstepma,age,hstepm,x,nlstate,stepm,oldm, savm, cij);  
                   4709:     
                   4710:     hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
                   4711:     
                   4712:     printf("%d|",(int)age);fflush(stdout);
                   4713:     fprintf(ficlog,"%d|",(int)age);fflush(ficlog);
                   4714:     
                   4715:     /* Computing expectancies */
                   4716:     for(i=1; i<=nlstate;i++)
                   4717:       for(j=1; j<=nlstate;j++)
                   4718:        for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){
                   4719:          eij[i][j][(int)age] += (p3mat[i][j][h]+p3mat[i][j][h+1])/2.0*hf;
                   4720:          
                   4721:          /* 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]);*/
                   4722: 
                   4723:        }
                   4724: 
                   4725:     fprintf(ficreseij,"%3.0f",age );
                   4726:     for(i=1; i<=nlstate;i++){
                   4727:       eip=0;
                   4728:       for(j=1; j<=nlstate;j++){
                   4729:        eip +=eij[i][j][(int)age];
                   4730:        fprintf(ficreseij,"%9.4f", eij[i][j][(int)age] );
                   4731:       }
                   4732:       fprintf(ficreseij,"%9.4f", eip );
                   4733:     }
                   4734:     fprintf(ficreseij,"\n");
                   4735:     
                   4736:   }
                   4737:   free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   4738:   printf("\n");
                   4739:   fprintf(ficlog,"\n");
                   4740:   
                   4741: }
                   4742: 
1.127     brouard  4743: 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  4744: 
                   4745: {
                   4746:   /* Covariances of health expectancies eij and of total life expectancies according
1.222     brouard  4747:      to initial status i, ei. .
1.126     brouard  4748:   */
                   4749:   int i, j, nhstepm, hstepm, h, nstepm, k, cptj, cptj2, i2, j2, ij, ji;
                   4750:   int nhstepma, nstepma; /* Decreasing with age */
                   4751:   double age, agelim, hf;
                   4752:   double ***p3matp, ***p3matm, ***varhe;
                   4753:   double **dnewm,**doldm;
                   4754:   double *xp, *xm;
                   4755:   double **gp, **gm;
                   4756:   double ***gradg, ***trgradg;
                   4757:   int theta;
                   4758: 
                   4759:   double eip, vip;
                   4760: 
                   4761:   varhe=ma3x(1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int) fage);
                   4762:   xp=vector(1,npar);
                   4763:   xm=vector(1,npar);
                   4764:   dnewm=matrix(1,nlstate*nlstate,1,npar);
                   4765:   doldm=matrix(1,nlstate*nlstate,1,nlstate*nlstate);
                   4766:   
                   4767:   pstamp(ficresstdeij);
                   4768:   fprintf(ficresstdeij,"# Health expectancies with standard errors\n");
                   4769:   fprintf(ficresstdeij,"# Age");
                   4770:   for(i=1; i<=nlstate;i++){
                   4771:     for(j=1; j<=nlstate;j++)
                   4772:       fprintf(ficresstdeij," e%1d%1d (SE)",i,j);
                   4773:     fprintf(ficresstdeij," e%1d. ",i);
                   4774:   }
                   4775:   fprintf(ficresstdeij,"\n");
                   4776: 
                   4777:   pstamp(ficrescveij);
                   4778:   fprintf(ficrescveij,"# Subdiagonal matrix of covariances of health expectancies by age: cov(eij,ekl)\n");
                   4779:   fprintf(ficrescveij,"# Age");
                   4780:   for(i=1; i<=nlstate;i++)
                   4781:     for(j=1; j<=nlstate;j++){
                   4782:       cptj= (j-1)*nlstate+i;
                   4783:       for(i2=1; i2<=nlstate;i2++)
                   4784:        for(j2=1; j2<=nlstate;j2++){
                   4785:          cptj2= (j2-1)*nlstate+i2;
                   4786:          if(cptj2 <= cptj)
                   4787:            fprintf(ficrescveij,"  %1d%1d,%1d%1d",i,j,i2,j2);
                   4788:        }
                   4789:     }
                   4790:   fprintf(ficrescveij,"\n");
                   4791:   
                   4792:   if(estepm < stepm){
                   4793:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   4794:   }
                   4795:   else  hstepm=estepm;   
                   4796:   /* We compute the life expectancy from trapezoids spaced every estepm months
                   4797:    * This is mainly to measure the difference between two models: for example
                   4798:    * if stepm=24 months pijx are given only every 2 years and by summing them
                   4799:    * we are calculating an estimate of the Life Expectancy assuming a linear 
                   4800:    * progression in between and thus overestimating or underestimating according
                   4801:    * to the curvature of the survival function. If, for the same date, we 
                   4802:    * estimate the model with stepm=1 month, we can keep estepm to 24 months
                   4803:    * to compare the new estimate of Life expectancy with the same linear 
                   4804:    * hypothesis. A more precise result, taking into account a more precise
                   4805:    * curvature will be obtained if estepm is as small as stepm. */
                   4806: 
                   4807:   /* For example we decided to compute the life expectancy with the smallest unit */
                   4808:   /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
                   4809:      nhstepm is the number of hstepm from age to agelim 
                   4810:      nstepm is the number of stepm from age to agelin. 
                   4811:      Look at hpijx to understand the reason of that which relies in memory size
                   4812:      and note for a fixed period like estepm months */
                   4813:   /* We decided (b) to get a life expectancy respecting the most precise curvature of the
                   4814:      survival function given by stepm (the optimization length). Unfortunately it
                   4815:      means that if the survival funtion is printed only each two years of age and if
                   4816:      you sum them up and add 1 year (area under the trapezoids) you won't get the same 
                   4817:      results. So we changed our mind and took the option of the best precision.
                   4818:   */
                   4819:   hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
                   4820: 
                   4821:   /* If stepm=6 months */
                   4822:   /* nhstepm age range expressed in number of stepm */
                   4823:   agelim=AGESUP;
                   4824:   nstepm=(int) rint((agelim-bage)*YEARM/stepm); 
                   4825:   /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   4826:   /* if (stepm >= YEARM) hstepm=1;*/
                   4827:   nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
                   4828:   
                   4829:   p3matp=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   4830:   p3matm=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   4831:   gradg=ma3x(0,nhstepm,1,npar,1,nlstate*nlstate);
                   4832:   trgradg =ma3x(0,nhstepm,1,nlstate*nlstate,1,npar);
                   4833:   gp=matrix(0,nhstepm,1,nlstate*nlstate);
                   4834:   gm=matrix(0,nhstepm,1,nlstate*nlstate);
                   4835: 
                   4836:   for (age=bage; age<=fage; age ++){ 
                   4837:     nstepma=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
                   4838:     /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   4839:     /* if (stepm >= YEARM) hstepm=1;*/
                   4840:     nhstepma = nstepma/hstepm;/* Expressed in hstepm, typically nhstepma=40/4=10 */
1.218     brouard  4841:                
1.126     brouard  4842:     /* If stepm=6 months */
                   4843:     /* Computed by stepm unit matrices, product of hstepma matrices, stored
                   4844:        in an array of nhstepma length: nhstepma=10, hstepm=4, stepm=6 months */
                   4845:     
                   4846:     hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
1.218     brouard  4847:                
1.126     brouard  4848:     /* Computing  Variances of health expectancies */
                   4849:     /* Gradient is computed with plus gp and minus gm. Code is duplicated in order to
                   4850:        decrease memory allocation */
                   4851:     for(theta=1; theta <=npar; theta++){
                   4852:       for(i=1; i<=npar; i++){ 
1.222     brouard  4853:        xp[i] = x[i] + (i==theta ?delti[theta]:0);
                   4854:        xm[i] = x[i] - (i==theta ?delti[theta]:0);
1.126     brouard  4855:       }
                   4856:       hpxij(p3matp,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, cij);  
                   4857:       hpxij(p3matm,nhstepm,age,hstepm,xm,nlstate,stepm,oldm,savm, cij);  
1.218     brouard  4858:                        
1.126     brouard  4859:       for(j=1; j<= nlstate; j++){
1.222     brouard  4860:        for(i=1; i<=nlstate; i++){
                   4861:          for(h=0; h<=nhstepm-1; h++){
                   4862:            gp[h][(j-1)*nlstate + i] = (p3matp[i][j][h]+p3matp[i][j][h+1])/2.;
                   4863:            gm[h][(j-1)*nlstate + i] = (p3matm[i][j][h]+p3matm[i][j][h+1])/2.;
                   4864:          }
                   4865:        }
1.126     brouard  4866:       }
1.218     brouard  4867:                        
1.126     brouard  4868:       for(ij=1; ij<= nlstate*nlstate; ij++)
1.222     brouard  4869:        for(h=0; h<=nhstepm-1; h++){
                   4870:          gradg[h][theta][ij]= (gp[h][ij]-gm[h][ij])/2./delti[theta];
                   4871:        }
1.126     brouard  4872:     }/* End theta */
                   4873:     
                   4874:     
                   4875:     for(h=0; h<=nhstepm-1; h++)
                   4876:       for(j=1; j<=nlstate*nlstate;j++)
1.222     brouard  4877:        for(theta=1; theta <=npar; theta++)
                   4878:          trgradg[h][j][theta]=gradg[h][theta][j];
1.126     brouard  4879:     
1.218     brouard  4880:                
1.222     brouard  4881:     for(ij=1;ij<=nlstate*nlstate;ij++)
1.126     brouard  4882:       for(ji=1;ji<=nlstate*nlstate;ji++)
1.222     brouard  4883:        varhe[ij][ji][(int)age] =0.;
1.218     brouard  4884:                
1.222     brouard  4885:     printf("%d|",(int)age);fflush(stdout);
                   4886:     fprintf(ficlog,"%d|",(int)age);fflush(ficlog);
                   4887:     for(h=0;h<=nhstepm-1;h++){
1.126     brouard  4888:       for(k=0;k<=nhstepm-1;k++){
1.222     brouard  4889:        matprod2(dnewm,trgradg[h],1,nlstate*nlstate,1,npar,1,npar,matcov);
                   4890:        matprod2(doldm,dnewm,1,nlstate*nlstate,1,npar,1,nlstate*nlstate,gradg[k]);
                   4891:        for(ij=1;ij<=nlstate*nlstate;ij++)
                   4892:          for(ji=1;ji<=nlstate*nlstate;ji++)
                   4893:            varhe[ij][ji][(int)age] += doldm[ij][ji]*hf*hf;
1.126     brouard  4894:       }
                   4895:     }
1.218     brouard  4896:                
1.126     brouard  4897:     /* Computing expectancies */
                   4898:     hpxij(p3matm,nhstepm,age,hstepm,x,nlstate,stepm,oldm, savm, cij);  
                   4899:     for(i=1; i<=nlstate;i++)
                   4900:       for(j=1; j<=nlstate;j++)
1.222     brouard  4901:        for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){
                   4902:          eij[i][j][(int)age] += (p3matm[i][j][h]+p3matm[i][j][h+1])/2.0*hf;
1.218     brouard  4903:                                        
1.222     brouard  4904:          /* 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  4905:                                        
1.222     brouard  4906:        }
1.218     brouard  4907:                
1.126     brouard  4908:     fprintf(ficresstdeij,"%3.0f",age );
                   4909:     for(i=1; i<=nlstate;i++){
                   4910:       eip=0.;
                   4911:       vip=0.;
                   4912:       for(j=1; j<=nlstate;j++){
1.222     brouard  4913:        eip += eij[i][j][(int)age];
                   4914:        for(k=1; k<=nlstate;k++) /* Sum on j and k of cov(eij,eik) */
                   4915:          vip += varhe[(j-1)*nlstate+i][(k-1)*nlstate+i][(int)age];
                   4916:        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  4917:       }
                   4918:       fprintf(ficresstdeij," %9.4f (%.4f)", eip, sqrt(vip));
                   4919:     }
                   4920:     fprintf(ficresstdeij,"\n");
1.218     brouard  4921:                
1.126     brouard  4922:     fprintf(ficrescveij,"%3.0f",age );
                   4923:     for(i=1; i<=nlstate;i++)
                   4924:       for(j=1; j<=nlstate;j++){
1.222     brouard  4925:        cptj= (j-1)*nlstate+i;
                   4926:        for(i2=1; i2<=nlstate;i2++)
                   4927:          for(j2=1; j2<=nlstate;j2++){
                   4928:            cptj2= (j2-1)*nlstate+i2;
                   4929:            if(cptj2 <= cptj)
                   4930:              fprintf(ficrescveij," %.4f", varhe[cptj][cptj2][(int)age]);
                   4931:          }
1.126     brouard  4932:       }
                   4933:     fprintf(ficrescveij,"\n");
1.218     brouard  4934:                
1.126     brouard  4935:   }
                   4936:   free_matrix(gm,0,nhstepm,1,nlstate*nlstate);
                   4937:   free_matrix(gp,0,nhstepm,1,nlstate*nlstate);
                   4938:   free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate*nlstate);
                   4939:   free_ma3x(trgradg,0,nhstepm,1,nlstate*nlstate,1,npar);
                   4940:   free_ma3x(p3matm,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   4941:   free_ma3x(p3matp,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   4942:   printf("\n");
                   4943:   fprintf(ficlog,"\n");
1.218     brouard  4944:        
1.126     brouard  4945:   free_vector(xm,1,npar);
                   4946:   free_vector(xp,1,npar);
                   4947:   free_matrix(dnewm,1,nlstate*nlstate,1,npar);
                   4948:   free_matrix(doldm,1,nlstate*nlstate,1,nlstate*nlstate);
                   4949:   free_ma3x(varhe,1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int)fage);
                   4950: }
1.218     brouard  4951:  
1.126     brouard  4952: /************ Variance ******************/
1.209     brouard  4953:  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  4954:  {
                   4955:    /* Variance of health expectancies */
                   4956:    /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);*/
                   4957:    /* double **newm;*/
                   4958:    /* int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav)*/
                   4959:   
                   4960:    /* int movingaverage(); */
                   4961:    double **dnewm,**doldm;
                   4962:    double **dnewmp,**doldmp;
                   4963:    int i, j, nhstepm, hstepm, h, nstepm ;
                   4964:    int k;
                   4965:    double *xp;
                   4966:    double **gp, **gm;  /* for var eij */
                   4967:    double ***gradg, ***trgradg; /*for var eij */
                   4968:    double **gradgp, **trgradgp; /* for var p point j */
                   4969:    double *gpp, *gmp; /* for var p point j */
                   4970:    double **varppt; /* for var p point j nlstate to nlstate+ndeath */
                   4971:    double ***p3mat;
                   4972:    double age,agelim, hf;
                   4973:    /* double ***mobaverage; */
                   4974:    int theta;
                   4975:    char digit[4];
                   4976:    char digitp[25];
                   4977: 
                   4978:    char fileresprobmorprev[FILENAMELENGTH];
                   4979: 
                   4980:    if(popbased==1){
                   4981:      if(mobilav!=0)
                   4982:        strcpy(digitp,"-POPULBASED-MOBILAV_");
                   4983:      else strcpy(digitp,"-POPULBASED-NOMOBIL_");
                   4984:    }
                   4985:    else 
                   4986:      strcpy(digitp,"-STABLBASED_");
1.126     brouard  4987: 
1.218     brouard  4988:    /* if (mobilav!=0) { */
                   4989:    /*   mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   4990:    /*   if (movingaverage(probs, bage, fage, mobaverage,mobilav)!=0){ */
                   4991:    /*     fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav); */
                   4992:    /*     printf(" Error in movingaverage mobilav=%d\n",mobilav); */
                   4993:    /*   } */
                   4994:    /* } */
                   4995: 
                   4996:    strcpy(fileresprobmorprev,"PRMORPREV-"); 
                   4997:    sprintf(digit,"%-d",ij);
                   4998:    /*printf("DIGIT=%s, ij=%d ijr=%-d|\n",digit, ij,ij);*/
                   4999:    strcat(fileresprobmorprev,digit); /* Tvar to be done */
                   5000:    strcat(fileresprobmorprev,digitp); /* Popbased or not, mobilav or not */
                   5001:    strcat(fileresprobmorprev,fileresu);
                   5002:    if((ficresprobmorprev=fopen(fileresprobmorprev,"w"))==NULL) {
                   5003:      printf("Problem with resultfile: %s\n", fileresprobmorprev);
                   5004:      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobmorprev);
                   5005:    }
                   5006:    printf("Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
                   5007:    fprintf(ficlog,"Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
                   5008:    pstamp(ficresprobmorprev);
                   5009:    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);
                   5010:    fprintf(ficresprobmorprev,"# Age cov=%-d",ij);
                   5011:    for(j=nlstate+1; j<=(nlstate+ndeath);j++){
                   5012:      fprintf(ficresprobmorprev," p.%-d SE",j);
                   5013:      for(i=1; i<=nlstate;i++)
                   5014:        fprintf(ficresprobmorprev," w%1d p%-d%-d",i,i,j);
                   5015:    }  
                   5016:    fprintf(ficresprobmorprev,"\n");
                   5017:   
                   5018:    fprintf(ficgp,"\n# Routine varevsij");
                   5019:    fprintf(ficgp,"\nunset title \n");
                   5020:    /* fprintf(fichtm, "#Local time at start: %s", strstart);*/
                   5021:    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");
                   5022:    fprintf(fichtm,"\n<br>%s  <br>\n",digitp);
                   5023:    /*   } */
                   5024:    varppt = matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   5025:    pstamp(ficresvij);
                   5026:    fprintf(ficresvij,"# Variance and covariance of health expectancies e.j \n#  (weighted average of eij where weights are ");
                   5027:    if(popbased==1)
                   5028:      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);
                   5029:    else
                   5030:      fprintf(ficresvij,"the age specific period (stable) prevalences in each health state \n");
                   5031:    fprintf(ficresvij,"# Age");
                   5032:    for(i=1; i<=nlstate;i++)
                   5033:      for(j=1; j<=nlstate;j++)
                   5034:        fprintf(ficresvij," Cov(e.%1d, e.%1d)",i,j);
                   5035:    fprintf(ficresvij,"\n");
                   5036: 
                   5037:    xp=vector(1,npar);
                   5038:    dnewm=matrix(1,nlstate,1,npar);
                   5039:    doldm=matrix(1,nlstate,1,nlstate);
                   5040:    dnewmp= matrix(nlstate+1,nlstate+ndeath,1,npar);
                   5041:    doldmp= matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   5042: 
                   5043:    gradgp=matrix(1,npar,nlstate+1,nlstate+ndeath);
                   5044:    gpp=vector(nlstate+1,nlstate+ndeath);
                   5045:    gmp=vector(nlstate+1,nlstate+ndeath);
                   5046:    trgradgp =matrix(nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
1.126     brouard  5047:   
1.218     brouard  5048:    if(estepm < stepm){
                   5049:      printf ("Problem %d lower than %d\n",estepm, stepm);
                   5050:    }
                   5051:    else  hstepm=estepm;   
                   5052:    /* For example we decided to compute the life expectancy with the smallest unit */
                   5053:    /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
                   5054:       nhstepm is the number of hstepm from age to agelim 
                   5055:       nstepm is the number of stepm from age to agelim. 
                   5056:       Look at function hpijx to understand why because of memory size limitations, 
                   5057:       we decided (b) to get a life expectancy respecting the most precise curvature of the
                   5058:       survival function given by stepm (the optimization length). Unfortunately it
                   5059:       means that if the survival funtion is printed every two years of age and if
                   5060:       you sum them up and add 1 year (area under the trapezoids) you won't get the same 
                   5061:       results. So we changed our mind and took the option of the best precision.
                   5062:    */
                   5063:    hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
                   5064:    agelim = AGESUP;
                   5065:    for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
                   5066:      nstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
                   5067:      nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
                   5068:      p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5069:      gradg=ma3x(0,nhstepm,1,npar,1,nlstate);
                   5070:      gp=matrix(0,nhstepm,1,nlstate);
                   5071:      gm=matrix(0,nhstepm,1,nlstate);
                   5072:                
                   5073:                
                   5074:      for(theta=1; theta <=npar; theta++){
                   5075:        for(i=1; i<=npar; i++){ /* Computes gradient x + delta*/
                   5076:         xp[i] = x[i] + (i==theta ?delti[theta]:0);
                   5077:        }
                   5078:                        
                   5079:        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij);
                   5080:                        
                   5081:        if (popbased==1) {
                   5082:         if(mobilav ==0){
                   5083:           for(i=1; i<=nlstate;i++)
                   5084:             prlim[i][i]=probs[(int)age][i][ij];
                   5085:         }else{ /* mobilav */ 
                   5086:           for(i=1; i<=nlstate;i++)
                   5087:             prlim[i][i]=mobaverage[(int)age][i][ij];
                   5088:         }
                   5089:        }
                   5090:                        
                   5091:        hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);  /* Returns p3mat[i][j][h] for h=1 to nhstepm */
                   5092:        for(j=1; j<= nlstate; j++){
                   5093:         for(h=0; h<=nhstepm; h++){
                   5094:           for(i=1, gp[h][j]=0.;i<=nlstate;i++)
                   5095:             gp[h][j] += prlim[i][i]*p3mat[i][j][h];
                   5096:         }
                   5097:        }
                   5098:        /* Next for computing probability of death (h=1 means
                   5099:          computed over hstepm matrices product = hstepm*stepm months) 
                   5100:          as a weighted average of prlim.
                   5101:        */
                   5102:        for(j=nlstate+1;j<=nlstate+ndeath;j++){
                   5103:         for(i=1,gpp[j]=0.; i<= nlstate; i++)
                   5104:           gpp[j] += prlim[i][i]*p3mat[i][j][1];
                   5105:        }    
                   5106:        /* end probability of death */
                   5107:                        
                   5108:        for(i=1; i<=npar; i++) /* Computes gradient x - delta */
                   5109:         xp[i] = x[i] - (i==theta ?delti[theta]:0);
                   5110:                        
                   5111:        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp, ij);
                   5112:                        
                   5113:        if (popbased==1) {
                   5114:         if(mobilav ==0){
                   5115:           for(i=1; i<=nlstate;i++)
                   5116:             prlim[i][i]=probs[(int)age][i][ij];
                   5117:         }else{ /* mobilav */ 
                   5118:           for(i=1; i<=nlstate;i++)
                   5119:             prlim[i][i]=mobaverage[(int)age][i][ij];
                   5120:         }
                   5121:        }
                   5122:                        
                   5123:        hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);  
                   5124:                        
                   5125:        for(j=1; j<= nlstate; j++){  /* Sum of wi * eij = e.j */
                   5126:         for(h=0; h<=nhstepm; h++){
                   5127:           for(i=1, gm[h][j]=0.;i<=nlstate;i++)
                   5128:             gm[h][j] += prlim[i][i]*p3mat[i][j][h];
                   5129:         }
                   5130:        }
                   5131:        /* This for computing probability of death (h=1 means
                   5132:          computed over hstepm matrices product = hstepm*stepm months) 
                   5133:          as a weighted average of prlim.
                   5134:        */
                   5135:        for(j=nlstate+1;j<=nlstate+ndeath;j++){
                   5136:         for(i=1,gmp[j]=0.; i<= nlstate; i++)
                   5137:           gmp[j] += prlim[i][i]*p3mat[i][j][1];
                   5138:        }    
                   5139:        /* end probability of death */
                   5140:                        
                   5141:        for(j=1; j<= nlstate; j++) /* vareij */
                   5142:         for(h=0; h<=nhstepm; h++){
                   5143:           gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta];
                   5144:         }
                   5145:                        
                   5146:        for(j=nlstate+1; j<= nlstate+ndeath; j++){ /* var mu */
                   5147:         gradgp[theta][j]= (gpp[j]-gmp[j])/2./delti[theta];
                   5148:        }
                   5149:                        
                   5150:      } /* End theta */
                   5151:                
                   5152:      trgradg =ma3x(0,nhstepm,1,nlstate,1,npar); /* veij */
                   5153:                
                   5154:      for(h=0; h<=nhstepm; h++) /* veij */
                   5155:        for(j=1; j<=nlstate;j++)
                   5156:         for(theta=1; theta <=npar; theta++)
                   5157:           trgradg[h][j][theta]=gradg[h][theta][j];
                   5158:                
                   5159:      for(j=nlstate+1; j<=nlstate+ndeath;j++) /* mu */
                   5160:        for(theta=1; theta <=npar; theta++)
                   5161:         trgradgp[j][theta]=gradgp[theta][j];
                   5162:                
                   5163:                
                   5164:      hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
                   5165:      for(i=1;i<=nlstate;i++)
                   5166:        for(j=1;j<=nlstate;j++)
                   5167:         vareij[i][j][(int)age] =0.;
                   5168:                
                   5169:      for(h=0;h<=nhstepm;h++){
                   5170:        for(k=0;k<=nhstepm;k++){
                   5171:         matprod2(dnewm,trgradg[h],1,nlstate,1,npar,1,npar,matcov);
                   5172:         matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg[k]);
                   5173:         for(i=1;i<=nlstate;i++)
                   5174:           for(j=1;j<=nlstate;j++)
                   5175:             vareij[i][j][(int)age] += doldm[i][j]*hf*hf;
                   5176:        }
                   5177:      }
                   5178:                
                   5179:      /* pptj */
                   5180:      matprod2(dnewmp,trgradgp,nlstate+1,nlstate+ndeath,1,npar,1,npar,matcov);
                   5181:      matprod2(doldmp,dnewmp,nlstate+1,nlstate+ndeath,1,npar,nlstate+1,nlstate+ndeath,gradgp);
                   5182:      for(j=nlstate+1;j<=nlstate+ndeath;j++)
                   5183:        for(i=nlstate+1;i<=nlstate+ndeath;i++)
                   5184:         varppt[j][i]=doldmp[j][i];
                   5185:      /* end ppptj */
                   5186:      /*  x centered again */
                   5187:                
                   5188:      prevalim(prlim,nlstate,x,age,oldm,savm,ftolpl,ncvyearp,ij);
                   5189:                
                   5190:      if (popbased==1) {
                   5191:        if(mobilav ==0){
                   5192:         for(i=1; i<=nlstate;i++)
                   5193:           prlim[i][i]=probs[(int)age][i][ij];
                   5194:        }else{ /* mobilav */ 
                   5195:         for(i=1; i<=nlstate;i++)
                   5196:           prlim[i][i]=mobaverage[(int)age][i][ij];
                   5197:        }
                   5198:      }
                   5199:                
                   5200:      /* This for computing probability of death (h=1 means
                   5201:        computed over hstepm (estepm) matrices product = hstepm*stepm months) 
                   5202:        as a weighted average of prlim.
                   5203:      */
                   5204:      hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm,savm, ij);  
                   5205:      for(j=nlstate+1;j<=nlstate+ndeath;j++){
                   5206:        for(i=1,gmp[j]=0.;i<= nlstate; i++) 
                   5207:         gmp[j] += prlim[i][i]*p3mat[i][j][1]; 
                   5208:      }    
                   5209:      /* end probability of death */
                   5210:                
                   5211:      fprintf(ficresprobmorprev,"%3d %d ",(int) age, ij);
                   5212:      for(j=nlstate+1; j<=(nlstate+ndeath);j++){
                   5213:        fprintf(ficresprobmorprev," %11.3e %11.3e",gmp[j], sqrt(varppt[j][j]));
                   5214:        for(i=1; i<=nlstate;i++){
                   5215:         fprintf(ficresprobmorprev," %11.3e %11.3e ",prlim[i][i],p3mat[i][j][1]);
                   5216:        }
                   5217:      } 
                   5218:      fprintf(ficresprobmorprev,"\n");
                   5219:                
                   5220:      fprintf(ficresvij,"%.0f ",age );
                   5221:      for(i=1; i<=nlstate;i++)
                   5222:        for(j=1; j<=nlstate;j++){
                   5223:         fprintf(ficresvij," %.4f", vareij[i][j][(int)age]);
                   5224:        }
                   5225:      fprintf(ficresvij,"\n");
                   5226:      free_matrix(gp,0,nhstepm,1,nlstate);
                   5227:      free_matrix(gm,0,nhstepm,1,nlstate);
                   5228:      free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate);
                   5229:      free_ma3x(trgradg,0,nhstepm,1,nlstate,1,npar);
                   5230:      free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5231:    } /* End age */
                   5232:    free_vector(gpp,nlstate+1,nlstate+ndeath);
                   5233:    free_vector(gmp,nlstate+1,nlstate+ndeath);
                   5234:    free_matrix(gradgp,1,npar,nlstate+1,nlstate+ndeath);
                   5235:    free_matrix(trgradgp,nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
                   5236:    /* fprintf(ficgp,"\nunset parametric;unset label; set ter png small size 320, 240"); */
                   5237:    fprintf(ficgp,"\nunset parametric;unset label; set ter svg size 640, 480");
                   5238:    /* for(j=nlstate+1; j<= nlstate+ndeath; j++){ *//* Only the first actually */
                   5239:    fprintf(ficgp,"\n set log y; unset log x;set xlabel \"Age\"; set ylabel \"Force of mortality (year-1)\";");
                   5240:    fprintf(ficgp,"\nset out \"%s%s.svg\";",subdirf3(optionfilefiname,"VARMUPTJGR-",digitp),digit);
                   5241:    /*   fprintf(ficgp,"\n plot \"%s\"  u 1:($3*%6.3f) not w l 1 ",fileresprobmorprev,YEARM/estepm); */
                   5242:    /*   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)*%6.3f) t \"95\%% interval\" w l 2 ",fileresprobmorprev,YEARM/estepm); */
                   5243:    /*   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)*%6.3f) not w l 2 ",fileresprobmorprev,YEARM/estepm); */
                   5244:    fprintf(ficgp,"\n plot \"%s\"  u 1:($3) not w l lt 1 ",subdirf(fileresprobmorprev));
                   5245:    fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)) t \"95%% interval\" w l lt 2 ",subdirf(fileresprobmorprev));
                   5246:    fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)) not w l lt 2 ",subdirf(fileresprobmorprev));
                   5247:    fprintf(fichtm,"\n<br> File (multiple files are possible if covariates are present): <A href=\"%s\">%s</a>\n",subdirf(fileresprobmorprev),subdirf(fileresprobmorprev));
                   5248:    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);
                   5249:    /*  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  5250:     */
1.218     brouard  5251:    /*   fprintf(ficgp,"\nset out \"varmuptjgr%s%s%s.svg\";replot;",digitp,optionfilefiname,digit); */
                   5252:    fprintf(ficgp,"\nset out;\nset out \"%s%s.svg\";replot;set out;\n",subdirf3(optionfilefiname,"VARMUPTJGR-",digitp),digit);
1.126     brouard  5253: 
1.218     brouard  5254:    free_vector(xp,1,npar);
                   5255:    free_matrix(doldm,1,nlstate,1,nlstate);
                   5256:    free_matrix(dnewm,1,nlstate,1,npar);
                   5257:    free_matrix(doldmp,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   5258:    free_matrix(dnewmp,nlstate+1,nlstate+ndeath,1,npar);
                   5259:    free_matrix(varppt,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   5260:    /* if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   5261:    fclose(ficresprobmorprev);
                   5262:    fflush(ficgp);
                   5263:    fflush(fichtm); 
                   5264:  }  /* end varevsij */
1.126     brouard  5265: 
                   5266: /************ Variance of prevlim ******************/
1.209     brouard  5267:  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  5268: {
1.205     brouard  5269:   /* Variance of prevalence limit  for each state ij using current parameters x[] and estimates of neighbourhood give by delti*/
1.126     brouard  5270:   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double **savm,double ftolpl);*/
1.164     brouard  5271: 
1.126     brouard  5272:   double **dnewm,**doldm;
                   5273:   int i, j, nhstepm, hstepm;
                   5274:   double *xp;
                   5275:   double *gp, *gm;
                   5276:   double **gradg, **trgradg;
1.208     brouard  5277:   double **mgm, **mgp;
1.126     brouard  5278:   double age,agelim;
                   5279:   int theta;
                   5280:   
                   5281:   pstamp(ficresvpl);
                   5282:   fprintf(ficresvpl,"# Standard deviation of period (stable) prevalences \n");
                   5283:   fprintf(ficresvpl,"# Age");
                   5284:   for(i=1; i<=nlstate;i++)
                   5285:       fprintf(ficresvpl," %1d-%1d",i,i);
                   5286:   fprintf(ficresvpl,"\n");
                   5287: 
                   5288:   xp=vector(1,npar);
                   5289:   dnewm=matrix(1,nlstate,1,npar);
                   5290:   doldm=matrix(1,nlstate,1,nlstate);
                   5291:   
                   5292:   hstepm=1*YEARM; /* Every year of age */
                   5293:   hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */ 
                   5294:   agelim = AGESUP;
                   5295:   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
                   5296:     nhstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
                   5297:     if (stepm >= YEARM) hstepm=1;
                   5298:     nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
                   5299:     gradg=matrix(1,npar,1,nlstate);
1.208     brouard  5300:     mgp=matrix(1,npar,1,nlstate);
                   5301:     mgm=matrix(1,npar,1,nlstate);
1.126     brouard  5302:     gp=vector(1,nlstate);
                   5303:     gm=vector(1,nlstate);
                   5304: 
                   5305:     for(theta=1; theta <=npar; theta++){
                   5306:       for(i=1; i<=npar; i++){ /* Computes gradient */
                   5307:        xp[i] = x[i] + (i==theta ?delti[theta]:0);
                   5308:       }
1.209     brouard  5309:       if((int)age==79 ||(int)age== 80 ||(int)age== 81 )
                   5310:        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij);
                   5311:       else
                   5312:        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij);
1.208     brouard  5313:       for(i=1;i<=nlstate;i++){
1.126     brouard  5314:        gp[i] = prlim[i][i];
1.208     brouard  5315:        mgp[theta][i] = prlim[i][i];
                   5316:       }
1.126     brouard  5317:       for(i=1; i<=npar; i++) /* Computes gradient */
                   5318:        xp[i] = x[i] - (i==theta ?delti[theta]:0);
1.209     brouard  5319:       if((int)age==79 ||(int)age== 80 ||(int)age== 81 )
                   5320:        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij);
                   5321:       else
                   5322:        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij);
1.208     brouard  5323:       for(i=1;i<=nlstate;i++){
1.126     brouard  5324:        gm[i] = prlim[i][i];
1.208     brouard  5325:        mgm[theta][i] = prlim[i][i];
                   5326:       }
1.126     brouard  5327:       for(i=1;i<=nlstate;i++)
                   5328:        gradg[theta][i]= (gp[i]-gm[i])/2./delti[theta];
1.209     brouard  5329:       /* gradg[theta][2]= -gradg[theta][1]; */ /* For testing if nlstate=2 */
1.126     brouard  5330:     } /* End theta */
                   5331: 
                   5332:     trgradg =matrix(1,nlstate,1,npar);
                   5333: 
                   5334:     for(j=1; j<=nlstate;j++)
                   5335:       for(theta=1; theta <=npar; theta++)
                   5336:        trgradg[j][theta]=gradg[theta][j];
1.209     brouard  5337:     /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ){ */
                   5338:     /*   printf("\nmgm mgp %d ",(int)age); */
                   5339:     /*   for(j=1; j<=nlstate;j++){ */
                   5340:     /*         printf(" %d ",j); */
                   5341:     /*         for(theta=1; theta <=npar; theta++) */
                   5342:     /*           printf(" %d %lf %lf",theta,mgm[theta][j],mgp[theta][j]); */
                   5343:     /*         printf("\n "); */
                   5344:     /*   } */
                   5345:     /* } */
                   5346:     /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ){ */
                   5347:     /*   printf("\n gradg %d ",(int)age); */
                   5348:     /*   for(j=1; j<=nlstate;j++){ */
                   5349:     /*         printf("%d ",j); */
                   5350:     /*         for(theta=1; theta <=npar; theta++) */
                   5351:     /*           printf("%d %lf ",theta,gradg[theta][j]); */
                   5352:     /*         printf("\n "); */
                   5353:     /*   } */
                   5354:     /* } */
1.126     brouard  5355: 
                   5356:     for(i=1;i<=nlstate;i++)
                   5357:       varpl[i][(int)age] =0.;
1.209     brouard  5358:     if((int)age==79 ||(int)age== 80  ||(int)age== 81){
1.205     brouard  5359:     matprod2(dnewm,trgradg,1,nlstate,1,npar,1,npar,matcov);
                   5360:     matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg);
                   5361:     }else{
1.126     brouard  5362:     matprod2(dnewm,trgradg,1,nlstate,1,npar,1,npar,matcov);
                   5363:     matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg);
1.205     brouard  5364:     }
1.126     brouard  5365:     for(i=1;i<=nlstate;i++)
                   5366:       varpl[i][(int)age] = doldm[i][i]; /* Covariances are useless */
                   5367: 
                   5368:     fprintf(ficresvpl,"%.0f ",age );
                   5369:     for(i=1; i<=nlstate;i++)
                   5370:       fprintf(ficresvpl," %.5f (%.5f)",prlim[i][i],sqrt(varpl[i][(int)age]));
                   5371:     fprintf(ficresvpl,"\n");
                   5372:     free_vector(gp,1,nlstate);
                   5373:     free_vector(gm,1,nlstate);
1.208     brouard  5374:     free_matrix(mgm,1,npar,1,nlstate);
                   5375:     free_matrix(mgp,1,npar,1,nlstate);
1.126     brouard  5376:     free_matrix(gradg,1,npar,1,nlstate);
                   5377:     free_matrix(trgradg,1,nlstate,1,npar);
                   5378:   } /* End age */
                   5379: 
                   5380:   free_vector(xp,1,npar);
                   5381:   free_matrix(doldm,1,nlstate,1,npar);
                   5382:   free_matrix(dnewm,1,nlstate,1,nlstate);
                   5383: 
                   5384: }
                   5385: 
                   5386: /************ Variance of one-step probabilities  ******************/
                   5387: 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  5388:  {
                   5389:    int i, j=0,  k1, l1, tj;
                   5390:    int k2, l2, j1,  z1;
                   5391:    int k=0, l;
                   5392:    int first=1, first1, first2;
                   5393:    double cv12, mu1, mu2, lc1, lc2, v12, v21, v11, v22,v1,v2, c12, tnalp;
                   5394:    double **dnewm,**doldm;
                   5395:    double *xp;
                   5396:    double *gp, *gm;
                   5397:    double **gradg, **trgradg;
                   5398:    double **mu;
                   5399:    double age, cov[NCOVMAX+1];
                   5400:    double std=2.0; /* Number of standard deviation wide of confidence ellipsoids */
                   5401:    int theta;
                   5402:    char fileresprob[FILENAMELENGTH];
                   5403:    char fileresprobcov[FILENAMELENGTH];
                   5404:    char fileresprobcor[FILENAMELENGTH];
                   5405:    double ***varpij;
                   5406: 
                   5407:    strcpy(fileresprob,"PROB_"); 
                   5408:    strcat(fileresprob,fileres);
                   5409:    if((ficresprob=fopen(fileresprob,"w"))==NULL) {
                   5410:      printf("Problem with resultfile: %s\n", fileresprob);
                   5411:      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprob);
                   5412:    }
                   5413:    strcpy(fileresprobcov,"PROBCOV_"); 
                   5414:    strcat(fileresprobcov,fileresu);
                   5415:    if((ficresprobcov=fopen(fileresprobcov,"w"))==NULL) {
                   5416:      printf("Problem with resultfile: %s\n", fileresprobcov);
                   5417:      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcov);
                   5418:    }
                   5419:    strcpy(fileresprobcor,"PROBCOR_"); 
                   5420:    strcat(fileresprobcor,fileresu);
                   5421:    if((ficresprobcor=fopen(fileresprobcor,"w"))==NULL) {
                   5422:      printf("Problem with resultfile: %s\n", fileresprobcor);
                   5423:      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcor);
                   5424:    }
                   5425:    printf("Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);
                   5426:    fprintf(ficlog,"Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);
                   5427:    printf("Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);
                   5428:    fprintf(ficlog,"Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);
                   5429:    printf("and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);
                   5430:    fprintf(ficlog,"and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);
                   5431:    pstamp(ficresprob);
                   5432:    fprintf(ficresprob,"#One-step probabilities and stand. devi in ()\n");
                   5433:    fprintf(ficresprob,"# Age");
                   5434:    pstamp(ficresprobcov);
                   5435:    fprintf(ficresprobcov,"#One-step probabilities and covariance matrix\n");
                   5436:    fprintf(ficresprobcov,"# Age");
                   5437:    pstamp(ficresprobcor);
                   5438:    fprintf(ficresprobcor,"#One-step probabilities and correlation matrix\n");
                   5439:    fprintf(ficresprobcor,"# Age");
1.126     brouard  5440: 
                   5441: 
1.222     brouard  5442:    for(i=1; i<=nlstate;i++)
                   5443:      for(j=1; j<=(nlstate+ndeath);j++){
                   5444:        fprintf(ficresprob," p%1d-%1d (SE)",i,j);
                   5445:        fprintf(ficresprobcov," p%1d-%1d ",i,j);
                   5446:        fprintf(ficresprobcor," p%1d-%1d ",i,j);
                   5447:      }  
                   5448:    /* fprintf(ficresprob,"\n");
                   5449:       fprintf(ficresprobcov,"\n");
                   5450:       fprintf(ficresprobcor,"\n");
                   5451:    */
                   5452:    xp=vector(1,npar);
                   5453:    dnewm=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);
                   5454:    doldm=matrix(1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath));
                   5455:    mu=matrix(1,(nlstate)*(nlstate+ndeath), (int) bage, (int)fage);
                   5456:    varpij=ma3x(1,nlstate*(nlstate+ndeath),1,nlstate*(nlstate+ndeath),(int) bage, (int) fage);
                   5457:    first=1;
                   5458:    fprintf(ficgp,"\n# Routine varprob");
                   5459:    fprintf(fichtm,"\n<li><h4> Computing and drawing one step probabilities with their confidence intervals</h4></li>\n");
                   5460:    fprintf(fichtm,"\n");
                   5461: 
                   5462:    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);
                   5463:    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);
                   5464:    fprintf(fichtmcov,"\nEllipsoids of confidence centered on point (p<inf>ij</inf>, p<inf>kl</inf>) are estimated \
1.126     brouard  5465: and drawn. It helps understanding how is the covariance between two incidences.\
                   5466:  They are expressed in year<sup>-1</sup> in order to be less dependent of stepm.<br>\n");
1.222     brouard  5467:    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  5468: It can be understood this way: if pij and pkl where uncorrelated the (2x2) matrix of covariance \
                   5469: would have been (1/(var pij), 0 , 0, 1/(var pkl)), and the confidence interval would be 2 \
                   5470: standard deviations wide on each axis. <br>\
                   5471:  Now, if both incidences are correlated (usual case) we diagonalised the inverse of the covariance matrix\
                   5472:  and made the appropriate rotation to look at the uncorrelated principal directions.<br>\
                   5473: To be simple, these graphs help to understand the significativity of each parameter in relation to a second other one.<br> \n");
                   5474: 
1.222     brouard  5475:    cov[1]=1;
                   5476:    /* tj=cptcoveff; */
1.225   ! brouard  5477:    tj = (int) pow(2,cptcoveff);
1.222     brouard  5478:    if (cptcovn<1) {tj=1;ncodemax[1]=1;}
                   5479:    j1=0;
1.224     brouard  5480:    for(j1=1; j1<=tj;j1++){  /* For each valid combination of covariates or only once*/
1.222     brouard  5481:      if  (cptcovn>0) {
                   5482:        fprintf(ficresprob, "\n#********** Variable "); 
1.225   ! brouard  5483:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprob, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.222     brouard  5484:        fprintf(ficresprob, "**********\n#\n");
                   5485:        fprintf(ficresprobcov, "\n#********** Variable "); 
1.225   ! brouard  5486:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcov, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.222     brouard  5487:        fprintf(ficresprobcov, "**********\n#\n");
1.220     brouard  5488:                        
1.222     brouard  5489:        fprintf(ficgp, "\n#********** Variable "); 
1.225   ! brouard  5490:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficgp, " V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.222     brouard  5491:        fprintf(ficgp, "**********\n#\n");
1.220     brouard  5492:                        
                   5493:                        
1.222     brouard  5494:        fprintf(fichtmcov, "\n<hr  size=\"2\" color=\"#EC5E5E\">********** Variable "); 
1.225   ! brouard  5495:        for (z1=1; z1<=cptcoveff; z1++) fprintf(fichtm, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.222     brouard  5496:        fprintf(fichtmcov, "**********\n<hr size=\"2\" color=\"#EC5E5E\">");
1.220     brouard  5497:                        
1.222     brouard  5498:        fprintf(ficresprobcor, "\n#********** Variable ");    
1.225   ! brouard  5499:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcor, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.222     brouard  5500:        fprintf(ficresprobcor, "**********\n#");    
                   5501:        if(invalidvarcomb[j1]){
                   5502:         fprintf(ficgp,"\n#Combination (%d) ignored because no cases \n",j1); 
                   5503:         fprintf(fichtmcov,"\n<h3>Combination (%d) ignored because no cases </h3>\n",j1); 
                   5504:         continue;
                   5505:        }
                   5506:      }
                   5507:      gradg=matrix(1,npar,1,(nlstate)*(nlstate+ndeath));
                   5508:      trgradg=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);
                   5509:      gp=vector(1,(nlstate)*(nlstate+ndeath));
                   5510:      gm=vector(1,(nlstate)*(nlstate+ndeath));
                   5511:      for (age=bage; age<=fage; age ++){ 
                   5512:        cov[2]=age;
                   5513:        if(nagesqr==1)
                   5514:         cov[3]= age*age;
                   5515:        for (k=1; k<=cptcovn;k++) {
                   5516:         cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(j1,k)];
                   5517:         /*cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(j1,Tvar[k])];*//* j1 1 2 3 4
                   5518:                                                                    * 1  1 1 1 1
                   5519:                                                                    * 2  2 1 1 1
                   5520:                                                                    * 3  1 2 1 1
                   5521:                                                                    */
                   5522:         /* nbcode[1][1]=0 nbcode[1][2]=1;*/
                   5523:        }
                   5524:        /* for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
                   5525:        for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
                   5526:        for (k=1; k<=cptcovprod;k++)
                   5527:         cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)]*nbcode[Tvard[k][2]][codtabm(ij,k)];
1.220     brouard  5528:                        
                   5529:                        
1.222     brouard  5530:        for(theta=1; theta <=npar; theta++){
                   5531:         for(i=1; i<=npar; i++)
                   5532:           xp[i] = x[i] + (i==theta ?delti[theta]:(double)0);
1.220     brouard  5533:                                
1.222     brouard  5534:         pmij(pmmij,cov,ncovmodel,xp,nlstate);
1.220     brouard  5535:                                
1.222     brouard  5536:         k=0;
                   5537:         for(i=1; i<= (nlstate); i++){
                   5538:           for(j=1; j<=(nlstate+ndeath);j++){
                   5539:             k=k+1;
                   5540:             gp[k]=pmmij[i][j];
                   5541:           }
                   5542:         }
1.220     brouard  5543:                                
1.222     brouard  5544:         for(i=1; i<=npar; i++)
                   5545:           xp[i] = x[i] - (i==theta ?delti[theta]:(double)0);
1.220     brouard  5546:                                
1.222     brouard  5547:         pmij(pmmij,cov,ncovmodel,xp,nlstate);
                   5548:         k=0;
                   5549:         for(i=1; i<=(nlstate); i++){
                   5550:           for(j=1; j<=(nlstate+ndeath);j++){
                   5551:             k=k+1;
                   5552:             gm[k]=pmmij[i][j];
                   5553:           }
                   5554:         }
1.220     brouard  5555:                                
1.222     brouard  5556:         for(i=1; i<= (nlstate)*(nlstate+ndeath); i++) 
                   5557:           gradg[theta][i]=(gp[i]-gm[i])/(double)2./delti[theta];  
                   5558:        }
1.126     brouard  5559: 
1.222     brouard  5560:        for(j=1; j<=(nlstate)*(nlstate+ndeath);j++)
                   5561:         for(theta=1; theta <=npar; theta++)
                   5562:           trgradg[j][theta]=gradg[theta][j];
1.220     brouard  5563:                        
1.222     brouard  5564:        matprod2(dnewm,trgradg,1,(nlstate)*(nlstate+ndeath),1,npar,1,npar,matcov); 
                   5565:        matprod2(doldm,dnewm,1,(nlstate)*(nlstate+ndeath),1,npar,1,(nlstate)*(nlstate+ndeath),gradg);
1.220     brouard  5566:                        
1.222     brouard  5567:        pmij(pmmij,cov,ncovmodel,x,nlstate);
1.220     brouard  5568:                        
1.222     brouard  5569:        k=0;
                   5570:        for(i=1; i<=(nlstate); i++){
                   5571:         for(j=1; j<=(nlstate+ndeath);j++){
                   5572:           k=k+1;
                   5573:           mu[k][(int) age]=pmmij[i][j];
                   5574:         }
                   5575:        }
                   5576:        for(i=1;i<=(nlstate)*(nlstate+ndeath);i++)
                   5577:         for(j=1;j<=(nlstate)*(nlstate+ndeath);j++)
                   5578:           varpij[i][j][(int)age] = doldm[i][j];
1.220     brouard  5579:                        
1.222     brouard  5580:        /*printf("\n%d ",(int)age);
                   5581:         for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){
                   5582:         printf("%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));
                   5583:         fprintf(ficlog,"%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));
                   5584:         }*/
1.220     brouard  5585:                        
1.222     brouard  5586:        fprintf(ficresprob,"\n%d ",(int)age);
                   5587:        fprintf(ficresprobcov,"\n%d ",(int)age);
                   5588:        fprintf(ficresprobcor,"\n%d ",(int)age);
1.220     brouard  5589:                        
1.222     brouard  5590:        for (i=1; i<=(nlstate)*(nlstate+ndeath);i++)
                   5591:         fprintf(ficresprob,"%11.3e (%11.3e) ",mu[i][(int) age],sqrt(varpij[i][i][(int)age]));
                   5592:        for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){
                   5593:         fprintf(ficresprobcov,"%11.3e ",mu[i][(int) age]);
                   5594:         fprintf(ficresprobcor,"%11.3e ",mu[i][(int) age]);
                   5595:        }
                   5596:        i=0;
                   5597:        for (k=1; k<=(nlstate);k++){
                   5598:         for (l=1; l<=(nlstate+ndeath);l++){ 
                   5599:           i++;
                   5600:           fprintf(ficresprobcov,"\n%d %d-%d",(int)age,k,l);
                   5601:           fprintf(ficresprobcor,"\n%d %d-%d",(int)age,k,l);
                   5602:           for (j=1; j<=i;j++){
                   5603:             /* printf(" k=%d l=%d i=%d j=%d\n",k,l,i,j);fflush(stdout); */
                   5604:             fprintf(ficresprobcov," %11.3e",varpij[i][j][(int)age]);
                   5605:             fprintf(ficresprobcor," %11.3e",varpij[i][j][(int) age]/sqrt(varpij[i][i][(int) age])/sqrt(varpij[j][j][(int)age]));
                   5606:           }
                   5607:         }
                   5608:        }/* end of loop for state */
                   5609:      } /* end of loop for age */
                   5610:      free_vector(gp,1,(nlstate+ndeath)*(nlstate+ndeath));
                   5611:      free_vector(gm,1,(nlstate+ndeath)*(nlstate+ndeath));
                   5612:      free_matrix(trgradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);
                   5613:      free_matrix(gradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);
                   5614:     
                   5615:      /* Confidence intervalle of pij  */
                   5616:      /*
                   5617:        fprintf(ficgp,"\nunset parametric;unset label");
                   5618:        fprintf(ficgp,"\nset log y;unset log x; set xlabel \"Age\";set ylabel \"probability (year-1)\"");
                   5619:        fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65");
                   5620:        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);
                   5621:        fprintf(fichtm,"\n<br><img src=\"pijgr%s.png\"> ",optionfilefiname);
                   5622:        fprintf(ficgp,"\nset out \"pijgr%s.png\"",optionfilefiname);
                   5623:        fprintf(ficgp,"\nplot \"%s\" every :::%d::%d u 1:2 \"\%%lf",k1,k2,xfilevarprob);
                   5624:      */
                   5625:                
                   5626:      /* Drawing ellipsoids of confidence of two variables p(k1-l1,k2-l2)*/
                   5627:      first1=1;first2=2;
                   5628:      for (k2=1; k2<=(nlstate);k2++){
                   5629:        for (l2=1; l2<=(nlstate+ndeath);l2++){ 
                   5630:         if(l2==k2) continue;
                   5631:         j=(k2-1)*(nlstate+ndeath)+l2;
                   5632:         for (k1=1; k1<=(nlstate);k1++){
                   5633:           for (l1=1; l1<=(nlstate+ndeath);l1++){ 
                   5634:             if(l1==k1) continue;
                   5635:             i=(k1-1)*(nlstate+ndeath)+l1;
                   5636:             if(i<=j) continue;
                   5637:             for (age=bage; age<=fage; age ++){ 
                   5638:               if ((int)age %5==0){
                   5639:                 v1=varpij[i][i][(int)age]/stepm*YEARM/stepm*YEARM;
                   5640:                 v2=varpij[j][j][(int)age]/stepm*YEARM/stepm*YEARM;
                   5641:                 cv12=varpij[i][j][(int)age]/stepm*YEARM/stepm*YEARM;
                   5642:                 mu1=mu[i][(int) age]/stepm*YEARM ;
                   5643:                 mu2=mu[j][(int) age]/stepm*YEARM;
                   5644:                 c12=cv12/sqrt(v1*v2);
                   5645:                 /* Computing eigen value of matrix of covariance */
                   5646:                 lc1=((v1+v2)+sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                   5647:                 lc2=((v1+v2)-sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                   5648:                 if ((lc2 <0) || (lc1 <0) ){
                   5649:                   if(first2==1){
                   5650:                     first1=0;
                   5651:                     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);
                   5652:                   }
                   5653:                   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);
                   5654:                   /* lc1=fabs(lc1); */ /* If we want to have them positive */
                   5655:                   /* lc2=fabs(lc2); */
                   5656:                 }
1.220     brouard  5657:                                                                
1.222     brouard  5658:                 /* Eigen vectors */
                   5659:                 v11=(1./sqrt(1+(v1-lc1)*(v1-lc1)/cv12/cv12));
                   5660:                 /*v21=sqrt(1.-v11*v11); *//* error */
                   5661:                 v21=(lc1-v1)/cv12*v11;
                   5662:                 v12=-v21;
                   5663:                 v22=v11;
                   5664:                 tnalp=v21/v11;
                   5665:                 if(first1==1){
                   5666:                   first1=0;
                   5667:                   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);
                   5668:                 }
                   5669:                 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);
                   5670:                 /*printf(fignu*/
                   5671:                 /* mu1+ v11*lc1*cost + v12*lc2*sin(t) */
                   5672:                 /* mu2+ v21*lc1*cost + v22*lc2*sin(t) */
                   5673:                 if(first==1){
                   5674:                   first=0;
                   5675:                   fprintf(ficgp,"\n# Ellipsoids of confidence\n#\n");
                   5676:                   fprintf(ficgp,"\nset parametric;unset label");
                   5677:                   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);
                   5678:                   fprintf(ficgp,"\nset ter svg size 640, 480");
                   5679:                   fprintf(fichtmcov,"\n<br>Ellipsoids of confidence cov(p%1d%1d,p%1d%1d) expressed in year<sup>-1</sup>\
1.220     brouard  5680:  :<a href=\"%s_%d%1d%1d-%1d%1d.svg\">                                                                                                                                          \
1.201     brouard  5681: %s_%d%1d%1d-%1d%1d.svg</A>, ",k1,l1,k2,l2,\
1.222     brouard  5682:                           subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2,      \
                   5683:                           subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
                   5684:                   fprintf(fichtmcov,"\n<br><img src=\"%s_%d%1d%1d-%1d%1d.svg\"> ",subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
                   5685:                   fprintf(fichtmcov,"\n<br> Correlation at age %d (%.3f),",(int) age, c12);
                   5686:                   fprintf(ficgp,"\nset out \"%s_%d%1d%1d-%1d%1d.svg\"",subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
                   5687:                   fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);
                   5688:                   fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);
                   5689:                   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",      \
                   5690:                           mu1,std,v11,sqrt(lc1),v12,sqrt(lc2),                                                                         \
                   5691:                           mu2,std,v21,sqrt(lc1),v22,sqrt(lc2));
                   5692:                 }else{
                   5693:                   first=0;
                   5694:                   fprintf(fichtmcov," %d (%.3f),",(int) age, c12);
                   5695:                   fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);
                   5696:                   fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);
                   5697:                   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", \
                   5698:                           mu1,std,v11,sqrt(lc1),v12,sqrt(lc2),                                 \
                   5699:                           mu2,std,v21,sqrt(lc1),v22,sqrt(lc2));
                   5700:                 }/* if first */
                   5701:               } /* age mod 5 */
                   5702:             } /* end loop age */
                   5703:             fprintf(ficgp,"\nset out;\nset out \"%s_%d%1d%1d-%1d%1d.svg\";replot;set out;",subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
                   5704:             first=1;
                   5705:           } /*l12 */
                   5706:         } /* k12 */
                   5707:        } /*l1 */
                   5708:      }/* k1 */
                   5709:    }  /* loop on combination of covariates j1 */
                   5710:    free_ma3x(varpij,1,nlstate,1,nlstate+ndeath,(int) bage, (int)fage);
                   5711:    free_matrix(mu,1,(nlstate+ndeath)*(nlstate+ndeath),(int) bage, (int)fage);
                   5712:    free_matrix(doldm,1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath));
                   5713:    free_matrix(dnewm,1,(nlstate)*(nlstate+ndeath),1,npar);
                   5714:    free_vector(xp,1,npar);
                   5715:    fclose(ficresprob);
                   5716:    fclose(ficresprobcov);
                   5717:    fclose(ficresprobcor);
                   5718:    fflush(ficgp);
                   5719:    fflush(fichtmcov);
                   5720:  }
1.126     brouard  5721: 
                   5722: 
                   5723: /******************* Printing html file ***********/
1.201     brouard  5724: void printinghtml(char fileresu[], char title[], char datafile[], int firstpass, \
1.126     brouard  5725:                  int lastpass, int stepm, int weightopt, char model[],\
                   5726:                  int imx,int jmin, int jmax, double jmeanint,char rfileres[],\
1.217     brouard  5727:                  int popforecast, int prevfcast, int backcast, int estepm , \
1.213     brouard  5728:                  double jprev1, double mprev1,double anprev1, double dateprev1, \
                   5729:                  double jprev2, double mprev2,double anprev2, double dateprev2){
1.126     brouard  5730:   int jj1, k1, i1, cpt;
                   5731: 
                   5732:    fprintf(fichtm,"<ul><li><a href='#firstorder'>Result files (first order: no variance)</a>\n \
                   5733:    <li><a href='#secondorder'>Result files (second order (variance)</a>\n \
                   5734: </ul>");
1.214     brouard  5735:    fprintf(fichtm,"<ul><li><h4><a name='firstorder'>Result files (first order: no variance)</a></h4>\n");
                   5736:    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",
                   5737:           jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,subdirfext3(optionfilefiname,"PHTMFR_",".htm"),subdirfext3(optionfilefiname,"PHTMFR_",".htm"));
                   5738:    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  5739:           jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,subdirfext3(optionfilefiname,"PHTM_",".htm"),subdirfext3(optionfilefiname,"PHTM_",".htm"));
                   5740:    fprintf(fichtm,",  <a href=\"%s\">%s</a> (text file) <br>\n",subdirf2(fileresu,"P_"),subdirf2(fileresu,"P_"));
1.126     brouard  5741:    fprintf(fichtm,"\
                   5742:  - Estimated transition probabilities over %d (stepm) months: <a href=\"%s\">%s</a><br>\n ",
1.201     brouard  5743:           stepm,subdirf2(fileresu,"PIJ_"),subdirf2(fileresu,"PIJ_"));
1.126     brouard  5744:    fprintf(fichtm,"\
1.217     brouard  5745:  - Estimated back transition probabilities over %d (stepm) months: <a href=\"%s\">%s</a><br>\n ",
                   5746:           stepm,subdirf2(fileresu,"PIJB_"),subdirf2(fileresu,"PIJB_"));
                   5747:    fprintf(fichtm,"\
1.126     brouard  5748:  - Period (stable) prevalence in each health state: <a href=\"%s\">%s</a> <br>\n",
1.201     brouard  5749:           subdirf2(fileresu,"PL_"),subdirf2(fileresu,"PL_"));
1.126     brouard  5750:    fprintf(fichtm,"\
1.217     brouard  5751:  - Period (stable) back prevalence in each health state: <a href=\"%s\">%s</a> <br>\n",
                   5752:           subdirf2(fileresu,"PLB_"),subdirf2(fileresu,"PLB_"));
                   5753:    fprintf(fichtm,"\
1.211     brouard  5754:  - (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  5755:    <a href=\"%s\">%s</a> <br>\n",
1.201     brouard  5756:           estepm,subdirf2(fileresu,"E_"),subdirf2(fileresu,"E_"));
1.211     brouard  5757:    if(prevfcast==1){
                   5758:      fprintf(fichtm,"\
                   5759:  - Prevalence projections by age and states:                           \
1.201     brouard  5760:    <a href=\"%s\">%s</a> <br>\n</li>", subdirf2(fileresu,"F_"),subdirf2(fileresu,"F_"));
1.211     brouard  5761:    }
1.126     brouard  5762: 
1.222     brouard  5763:    fprintf(fichtm," \n<ul><li><b>Graphs</b></li><p>");
1.126     brouard  5764: 
1.225   ! brouard  5765:    m=pow(2,cptcoveff);
1.222     brouard  5766:    if (cptcovn < 1) {m=1;ncodemax[1]=1;}
1.126     brouard  5767: 
1.222     brouard  5768:    jj1=0;
                   5769:    for(k1=1; k1<=m;k1++){
1.220     brouard  5770: 
1.222     brouard  5771:      /* for(i1=1; i1<=ncodemax[k1];i1++){ */
                   5772:      jj1++;
                   5773:      if (cptcovn > 0) {
                   5774:        fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");
1.225   ! brouard  5775:        for (cpt=1; cpt<=cptcoveff;cpt++){ 
1.222     brouard  5776:         fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]);
                   5777:         printf(" V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]);fflush(stdout);
                   5778:        }
                   5779:        fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");
                   5780:        if(invalidvarcomb[k1]){
                   5781:         fprintf(fichtm,"\n<h3>Combination (%d) ignored because no cases </h3>\n",k1); 
                   5782:         printf("\nCombination (%d) ignored because no cases \n",k1); 
                   5783:         continue;
                   5784:        }
                   5785:      }
                   5786:      /* aij, bij */
                   5787:      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  5788: <img src=\"%s_%d-1.svg\">",model,subdirf2(optionfilefiname,"PE_"),jj1,subdirf2(optionfilefiname,"PE_"),jj1,subdirf2(optionfilefiname,"PE_"),jj1);
1.222     brouard  5789:      /* Pij */
                   5790:      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  5791: <img src=\"%s_%d-2.svg\">",stepm,subdirf2(optionfilefiname,"PE_"),jj1,subdirf2(optionfilefiname,"PE_"),jj1,subdirf2(optionfilefiname,"PE_"),jj1);     
1.222     brouard  5792:      /* Quasi-incidences */
                   5793:      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  5794:  before but expressed in per year i.e. quasi incidences if stepm is small and probabilities too, \
1.211     brouard  5795:  incidence (rates) are the limit when h tends to zero of the ratio of the probability  <sub>h</sub>P<sub>ij</sub> \
                   5796: 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  5797: <img src=\"%s_%d-3.svg\">",stepm,subdirf2(optionfilefiname,"PE_"),jj1,subdirf2(optionfilefiname,"PE_"),jj1,subdirf2(optionfilefiname,"PE_"),jj1); 
1.222     brouard  5798:      /* Survival functions (period) in state j */
                   5799:      for(cpt=1; cpt<=nlstate;cpt++){
                   5800:        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  5801: <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  5802:      }
                   5803:      /* State specific survival functions (period) */
                   5804:      for(cpt=1; cpt<=nlstate;cpt++){
                   5805:        fprintf(fichtm,"<br>\n- Survival functions from state %d in each live state and total.\
1.220     brouard  5806:  Or probability to survive in various states (1 to %d) being in state %d at different ages.    \
1.201     brouard  5807:  <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  5808:      }
                   5809:      /* Period (stable) prevalence in each health state */
                   5810:      for(cpt=1; cpt<=nlstate;cpt++){
                   5811:        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  5812: <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  5813:      }
                   5814:      if(backcast==1){
                   5815:        /* Period (stable) back prevalence in each health state */
                   5816:        for(cpt=1; cpt<=nlstate;cpt++){
                   5817:         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  5818: <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  5819:        }
1.217     brouard  5820:      }
1.222     brouard  5821:      if(prevfcast==1){
                   5822:        /* Projection of prevalence up to period (stable) prevalence in each health state */
                   5823:        for(cpt=1; cpt<=nlstate;cpt++){
                   5824:         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  5825: <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  5826:        }
                   5827:      }
1.220     brouard  5828:         
1.222     brouard  5829:      for(cpt=1; cpt<=nlstate;cpt++) {
                   5830:        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  5831: <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  5832:      }
                   5833:      /* } /\* end i1 *\/ */
                   5834:    }/* End k1 */
                   5835:    fprintf(fichtm,"</ul>");
1.126     brouard  5836: 
1.222     brouard  5837:    fprintf(fichtm,"\
1.126     brouard  5838: \n<br><li><h4> <a name='secondorder'>Result files (second order: variances)</a></h4>\n\
1.193     brouard  5839:  - Parameter file with estimated parameters and covariance matrix: <a href=\"%s\">%s</a> <br> \
1.203     brouard  5840:  - 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  5841: But because parameters are usually highly correlated (a higher incidence of disability \
                   5842: and a higher incidence of recovery can give very close observed transition) it might \
                   5843: be very useful to look not only at linear confidence intervals estimated from the \
                   5844: variances but at the covariance matrix. And instead of looking at the estimated coefficients \
                   5845: (parameters) of the logistic regression, it might be more meaningful to visualize the \
                   5846: covariance matrix of the one-step probabilities. \
                   5847: See page 'Matrix of variance-covariance of one-step probabilities' below. \n", rfileres,rfileres);
1.126     brouard  5848: 
1.222     brouard  5849:    fprintf(fichtm," - Standard deviation of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
                   5850:           subdirf2(fileresu,"PROB_"),subdirf2(fileresu,"PROB_"));
                   5851:    fprintf(fichtm,"\
1.126     brouard  5852:  - Variance-covariance of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
1.222     brouard  5853:           subdirf2(fileresu,"PROBCOV_"),subdirf2(fileresu,"PROBCOV_"));
1.126     brouard  5854: 
1.222     brouard  5855:    fprintf(fichtm,"\
1.126     brouard  5856:  - Correlation matrix of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
1.222     brouard  5857:           subdirf2(fileresu,"PROBCOR_"),subdirf2(fileresu,"PROBCOR_"));
                   5858:    fprintf(fichtm,"\
1.126     brouard  5859:  - 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): \
                   5860:    <a href=\"%s\">%s</a> <br>\n</li>",
1.201     brouard  5861:           estepm,subdirf2(fileresu,"CVE_"),subdirf2(fileresu,"CVE_"));
1.222     brouard  5862:    fprintf(fichtm,"\
1.126     brouard  5863:  - (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): \
                   5864:    <a href=\"%s\">%s</a> <br>\n</li>",
1.201     brouard  5865:           estepm,subdirf2(fileresu,"STDE_"),subdirf2(fileresu,"STDE_"));
1.222     brouard  5866:    fprintf(fichtm,"\
1.128     brouard  5867:  - 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  5868:           estepm, subdirf2(fileresu,"V_"),subdirf2(fileresu,"V_"));
                   5869:    fprintf(fichtm,"\
1.128     brouard  5870:  - 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  5871:           estepm, subdirf2(fileresu,"T_"),subdirf2(fileresu,"T_"));
                   5872:    fprintf(fichtm,"\
1.126     brouard  5873:  - Standard deviation of period (stable) prevalences: <a href=\"%s\">%s</a> <br>\n",\
1.222     brouard  5874:           subdirf2(fileresu,"VPL_"),subdirf2(fileresu,"VPL_"));
1.126     brouard  5875: 
                   5876: /*  if(popforecast==1) fprintf(fichtm,"\n */
                   5877: /*  - Prevalences forecasting: <a href=\"f%s\">f%s</a> <br>\n */
                   5878: /*  - Population forecasting (if popforecast=1): <a href=\"pop%s\">pop%s</a> <br>\n */
                   5879: /*     <br>",fileres,fileres,fileres,fileres); */
                   5880: /*  else  */
                   5881: /*    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  5882:    fflush(fichtm);
                   5883:    fprintf(fichtm," <ul><li><b>Graphs</b></li><p>");
1.126     brouard  5884: 
1.225   ! brouard  5885:    m=pow(2,cptcoveff);
1.222     brouard  5886:    if (cptcovn < 1) {m=1;ncodemax[1]=1;}
1.126     brouard  5887: 
1.222     brouard  5888:    jj1=0;
                   5889:    for(k1=1; k1<=m;k1++){
                   5890:      /* for(i1=1; i1<=ncodemax[k1];i1++){ */
                   5891:      jj1++;
1.126     brouard  5892:      if (cptcovn > 0) {
                   5893:        fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");
1.225   ! brouard  5894:        for (cpt=1; cpt<=cptcoveff;cpt++)  /**< cptcoveff number of variables */
1.222     brouard  5895:         fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]);
1.126     brouard  5896:        fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");
1.220     brouard  5897: 
1.222     brouard  5898:        if(invalidvarcomb[k1]){
                   5899:         fprintf(fichtm,"\n<h4>Combination (%d) ignored because no cases </h4>\n",k1); 
                   5900:         continue;
                   5901:        }
1.126     brouard  5902:      }
                   5903:      for(cpt=1; cpt<=nlstate;cpt++) {
1.218     brouard  5904:        fprintf(fichtm,"\n<br>- Observed (cross-sectional) and period (incidence based) \
                   5905: prevalence (with 95%% confidence interval) in state (%d): <a href=\"%s_%d-%d.svg\"> %s_%d-%d.svg</a>\n <br>\
1.205     brouard  5906: <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  5907:      }
                   5908:      fprintf(fichtm,"\n<br>- Total life expectancy by age and \
1.128     brouard  5909: health expectancies in states (1) and (2). If popbased=1 the smooth (due to the model) \
                   5910: true period expectancies (those weighted with period prevalences are also\
                   5911:  drawn in addition to the population based expectancies computed using\
1.218     brouard  5912:  observed and cahotic prevalences:  <a href=\"%s_%d.svg\">%s_%d.svg</a>\n<br>\
1.205     brouard  5913: <img src=\"%s_%d.svg\">",subdirf2(optionfilefiname,"E_"),jj1,subdirf2(optionfilefiname,"E_"),jj1,subdirf2(optionfilefiname,"E_"),jj1);
1.222     brouard  5914:      /* } /\* end i1 *\/ */
                   5915:    }/* End k1 */
                   5916:    fprintf(fichtm,"</ul>");
                   5917:    fflush(fichtm);
1.126     brouard  5918: }
                   5919: 
                   5920: /******************* Gnuplot file **************/
1.223     brouard  5921: void printinggnuplot(char fileresu[], char optionfilefiname[], double ageminpar, double agemaxpar, double fage , int prevfcast, int backcast, char pathc[], double p[]){
1.126     brouard  5922: 
                   5923:   char dirfileres[132],optfileres[132];
1.223     brouard  5924:   char gplotcondition[132];
1.164     brouard  5925:   int cpt=0,k1=0,i=0,k=0,j=0,jk=0,k2=0,k3=0,ij=0,l=0;
1.211     brouard  5926:   int lv=0, vlv=0, kl=0;
1.130     brouard  5927:   int ng=0;
1.201     brouard  5928:   int vpopbased;
1.223     brouard  5929:   int ioffset; /* variable offset for columns */
1.219     brouard  5930: 
1.126     brouard  5931: /*   if((ficgp=fopen(optionfilegnuplot,"a"))==NULL) { */
                   5932: /*     printf("Problem with file %s",optionfilegnuplot); */
                   5933: /*     fprintf(ficlog,"Problem with file %s",optionfilegnuplot); */
                   5934: /*   } */
                   5935: 
                   5936:   /*#ifdef windows */
                   5937:   fprintf(ficgp,"cd \"%s\" \n",pathc);
1.223     brouard  5938:   /*#endif */
1.225   ! brouard  5939:   m=pow(2,cptcoveff);
1.126     brouard  5940: 
1.202     brouard  5941:   /* Contribution to likelihood */
                   5942:   /* Plot the probability implied in the likelihood */
1.223     brouard  5943:   fprintf(ficgp,"\n# Contributions to the Likelihood, mle >=1. For mle=4 no interpolation, pure matrix products.\n#\n");
                   5944:   fprintf(ficgp,"\n set log y; unset log x;set xlabel \"Age\"; set ylabel \"Likelihood (-2Log(L))\";");
                   5945:   /* fprintf(ficgp,"\nset ter svg size 640, 480"); */ /* Too big for svg */
                   5946:   fprintf(ficgp,"\nset ter pngcairo size 640, 480");
1.204     brouard  5947: /* nice for mle=4 plot by number of matrix products.
1.202     brouard  5948:    replot  "rrtest1/toto.txt" u 2:($4 == 1 && $5==2 ? $9 : 1/0):5 t "p12" with point lc 1 */
                   5949: /* replot exp(p1+p2*x)/(1+exp(p1+p2*x)+exp(p3+p4*x)+exp(p5+p6*x)) t "p12(x)"  */
1.223     brouard  5950:   /* fprintf(ficgp,"\nset out \"%s.svg\";",subdirf2(optionfilefiname,"ILK_")); */
                   5951:   fprintf(ficgp,"\nset out \"%s-dest.png\";",subdirf2(optionfilefiname,"ILK_"));
                   5952:   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));
                   5953:   fprintf(ficgp,"\nset out \"%s-ori.png\";",subdirf2(optionfilefiname,"ILK_"));
                   5954:   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));
                   5955:   for (i=1; i<= nlstate ; i ++) {
                   5956:     fprintf(ficgp,"\nset out \"%s-p%dj.png\";set ylabel \"Probability for each individual/wave\";",subdirf2(optionfilefiname,"ILK_"),i);
                   5957:     fprintf(ficgp,"unset log;\n# plot weighted, mean weight should have point size of 0.5\n plot  \"%s\"",subdirf(fileresilk));
                   5958:     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);
                   5959:     for (j=2; j<= nlstate+ndeath ; j ++) {
                   5960:       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);
                   5961:     }
                   5962:     fprintf(ficgp,";\nset out; unset ylabel;\n"); 
                   5963:   }
                   5964:   /* 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 */               
                   5965:   /* fprintf(ficgp,"\nset log y;plot  \"%s\" u 2:(-$11):3 t \"All sample, all transitions\" with dots lc variable",subdirf(fileresilk)); */
                   5966:   /* fprintf(ficgp,"\nreplot  \"%s\" u 2:($3 <= 3 ? -$11 : 1/0):3 t \"First 3 individuals\" with line lc variable", subdirf(fileresilk)); */
                   5967:   fprintf(ficgp,"\nset out;unset log\n");
                   5968:   /* fprintf(ficgp,"\nset out \"%s.svg\"; replot; set out; # bug gnuplot",subdirf2(optionfilefiname,"ILK_")); */
1.202     brouard  5969: 
1.126     brouard  5970:   strcpy(dirfileres,optionfilefiname);
                   5971:   strcpy(optfileres,"vpl");
1.223     brouard  5972:   /* 1eme*/
1.211     brouard  5973:   for (cpt=1; cpt<= nlstate ; cpt ++) { /* For each live state */
1.220     brouard  5974:     for (k1=1; k1<= m ; k1 ++) { /* For each valid combination of covariate */
1.211     brouard  5975:       /* plot [100000000000000000000:-100000000000000000000] "mysbiaspar/vplrmysbiaspar.txt to check */
                   5976:       fprintf(ficgp,"\n# 1st: Period (stable) prevalence with CI: 'VPL_' files ");
1.225   ! brouard  5977:       for (k=1; k<=cptcoveff; k++){    /* For each covariate k get corresponding value lv for combination k1 */
        !          5978:        lv= decodtabm(k1,k,cptcoveff); /* Should be the value of the covariate corresponding to k1 combination */
1.223     brouard  5979:        /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   5980:        /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   5981:        /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   5982:        vlv= nbcode[Tvaraff[k]][lv]; /* vlv is the value of the covariate lv, 0 or 1 */
                   5983:        /* For each combination of covariate k1 (V1=1, V3=0), we printed the current covariate k and its value vlv */
                   5984:        fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.211     brouard  5985:       }
                   5986:       fprintf(ficgp,"\n#\n");
1.223     brouard  5987:       if(invalidvarcomb[k1]){
                   5988:        fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   5989:        continue;
                   5990:       }
1.211     brouard  5991: 
1.223     brouard  5992:       fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" \n",subdirf2(optionfilefiname,"V_"),cpt,k1);
                   5993:       fprintf(ficgp,"\n#set out \"V_%s_%d-%d.svg\" \n",optionfilefiname,cpt,k1);
                   5994:       fprintf(ficgp,"set xlabel \"Age\" \n\
1.219     brouard  5995: set ylabel \"Probability\" \n  \
                   5996: set ter svg size 640, 480\n    \
1.201     brouard  5997: plot [%.f:%.f] \"%s\" every :::%d::%d u 1:2 \"%%lf",ageminpar,fage,subdirf2(fileresu,"VPL_"),k1-1,k1-1);
1.219     brouard  5998:                        
1.223     brouard  5999:       for (i=1; i<= nlstate ; i ++) {
                   6000:        if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   6001:        else        fprintf(ficgp," %%*lf (%%*lf)");
                   6002:       }
                   6003:       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);
                   6004:       for (i=1; i<= nlstate ; i ++) {
                   6005:        if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   6006:        else fprintf(ficgp," %%*lf (%%*lf)");
                   6007:       } 
                   6008:       fprintf(ficgp,"\" t\"95%% CI\" w l lt 1,\"%s\" every :::%d::%d u 1:($2-1.96*$3) \"%%lf",subdirf2(fileresu,"VPL_"),k1-1,k1-1); 
                   6009:       for (i=1; i<= nlstate ; i ++) {
                   6010:        if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   6011:        else fprintf(ficgp," %%*lf (%%*lf)");
                   6012:       }  
                   6013:       fprintf(ficgp,"\" t\"\" w l lt 1,\"%s\" every :::%d::%d u 1:($%d) t\"Observed prevalence\" w l lt 2",subdirf2(fileresu,"P_"),k1-1,k1-1,2+4*(cpt-1));
                   6014:       if(backcast==1){ /* We need to get the corresponding values of the covariates involved in this combination k1 */
                   6015:        /* fprintf(ficgp,",\"%s\" every :::%d::%d u 1:($%d) t\"Backward stable prevalence\" w l lt 3",subdirf2(fileresu,"PLB_"),k1-1,k1-1,1+cpt); */
                   6016:        fprintf(ficgp,",\"%s\" u 1:((",subdirf2(fileresu,"PLB_")); /* Age is in 1 */
1.225   ! brouard  6017:        if(cptcoveff ==0){
1.223     brouard  6018:          fprintf(ficgp,"$%d)) t 'Backward prevalence in state %d' with line ",  2+(cpt-1),  cpt );
                   6019:        }else{
                   6020:          kl=0;
1.225   ! brouard  6021:          for (k=1; k<=cptcoveff; k++){    /* For each combination of covariate  */
        !          6022:            lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to k1 combination and kth covariate */
1.223     brouard  6023:            /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   6024:            /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   6025:            /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   6026:            vlv= nbcode[Tvaraff[k]][lv];
                   6027:            kl++;
                   6028:            /* 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 *\/ */
                   6029:            /*6+(cpt-1)*(nlstate+1)+1+(i-1)+(nlstate+1)*nlstate; 6+(1-1)*(2+1)+1+(1-1) +(2+1)*2=13 */ 
                   6030:            /*6+1+(i-1)+(nlstate+1)*nlstate; 6+1+(1-1) +(2+1)*2=13 */ 
                   6031:            /* ''  u 6:(($1==1 && $2==0 && $3==2 && $4==0)? $9/(1.-$15) : 1/0):($5==2000? 3:2) t 'p.1' with line lc variable*/
1.225   ! brouard  6032:            if(k==cptcoveff){
1.223     brouard  6033:              fprintf(ficgp,"$%d==%d && $%d==%d)? $%d : 1/0) t 'Backward prevalence in state %d' with line ",kl+1, Tvaraff[k],kl+1+1,nbcode[Tvaraff[k]][lv], \
                   6034:                      6+(cpt-1),  cpt );
                   6035:            }else{
                   6036:              fprintf(ficgp,"$%d==%d && $%d==%d && ",kl+1, Tvaraff[k],kl+1+1,nbcode[Tvaraff[k]][lv]);
                   6037:              kl++;
                   6038:            }
                   6039:          } /* end covariate */
                   6040:        } /* end if no covariate */
                   6041:       } /* end if backcast */
                   6042:       fprintf(ficgp,"\nset out \n");
1.201     brouard  6043:     } /* k1 */
                   6044:   } /* cpt */
1.126     brouard  6045:   /*2 eme*/
                   6046:   for (k1=1; k1<= m ; k1 ++) { 
1.220     brouard  6047: 
1.223     brouard  6048:     fprintf(ficgp,"\n# 2nd: Total life expectancy with CI: 't' files ");
1.225   ! brouard  6049:     for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
        !          6050:       lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
1.223     brouard  6051:       /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   6052:       /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   6053:       /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   6054:       vlv= nbcode[Tvaraff[k]][lv];
                   6055:       fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
                   6056:     }
                   6057:     fprintf(ficgp,"\n#\n");
                   6058:     if(invalidvarcomb[k1]){
                   6059:       fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   6060:       continue;
                   6061:     }
1.219     brouard  6062:                        
1.223     brouard  6063:     fprintf(ficgp,"\nset out \"%s_%d.svg\" \n",subdirf2(optionfilefiname,"E_"),k1);
                   6064:     for(vpopbased=0; vpopbased <= popbased; vpopbased++){ /* Done for vpopbased=0 and vpopbased=1 if popbased==1*/
                   6065:       if(vpopbased==0)
                   6066:        fprintf(ficgp,"set ylabel \"Years\" \nset ter svg size 640, 480\nplot [%.f:%.f] ",ageminpar,fage);
                   6067:       else
                   6068:        fprintf(ficgp,"\nreplot ");
                   6069:       for (i=1; i<= nlstate+1 ; i ++) {
                   6070:        k=2*i;
                   6071:        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);
                   6072:        for (j=1; j<= nlstate+1 ; j ++) {
                   6073:          if (j==i) fprintf(ficgp," %%lf (%%lf)");
                   6074:          else fprintf(ficgp," %%*lf (%%*lf)");
                   6075:        }   
                   6076:        if (i== 1) fprintf(ficgp,"\" t\"TLE\" w l lt %d, \\\n",i);
                   6077:        else fprintf(ficgp,"\" t\"LE in state (%d)\" w l lt %d, \\\n",i-1,i+1);
                   6078:        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);
                   6079:        for (j=1; j<= nlstate+1 ; j ++) {
                   6080:          if (j==i) fprintf(ficgp," %%lf (%%lf)");
                   6081:          else fprintf(ficgp," %%*lf (%%*lf)");
                   6082:        }   
                   6083:        fprintf(ficgp,"\" t\"\" w l lt 0,");
                   6084:        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);
                   6085:        for (j=1; j<= nlstate+1 ; j ++) {
                   6086:          if (j==i) fprintf(ficgp," %%lf (%%lf)");
                   6087:          else fprintf(ficgp," %%*lf (%%*lf)");
                   6088:        }   
                   6089:        if (i== (nlstate+1)) fprintf(ficgp,"\" t\"\" w l lt 0");
                   6090:        else fprintf(ficgp,"\" t\"\" w l lt 0,\\\n");
                   6091:       } /* state */
                   6092:     } /* vpopbased */
                   6093:     fprintf(ficgp,"\nset out;set out \"%s_%d.svg\"; replot; set out; \n",subdirf2(optionfilefiname,"E_"),k1); /* Buggy gnuplot */
1.201     brouard  6094:   } /* k1 */
1.219     brouard  6095:        
                   6096:        
1.126     brouard  6097:   /*3eme*/
                   6098:   for (k1=1; k1<= m ; k1 ++) { 
1.220     brouard  6099: 
1.126     brouard  6100:     for (cpt=1; cpt<= nlstate ; cpt ++) {
1.211     brouard  6101:       fprintf(ficgp,"\n# 3d: Life expectancy with EXP_ files:  cov=%d state=%d",k1, cpt);
1.225   ! brouard  6102:       for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
        !          6103:        lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
1.223     brouard  6104:        /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   6105:        /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   6106:        /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   6107:        vlv= nbcode[Tvaraff[k]][lv];
                   6108:        fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.211     brouard  6109:       }
                   6110:       fprintf(ficgp,"\n#\n");
1.223     brouard  6111:       if(invalidvarcomb[k1]){
                   6112:        fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   6113:        continue;
                   6114:       }
1.219     brouard  6115:                        
1.126     brouard  6116:       /*       k=2+nlstate*(2*cpt-2); */
                   6117:       k=2+(nlstate+1)*(cpt-1);
1.201     brouard  6118:       fprintf(ficgp,"\nset out \"%s_%d%d.svg\" \n",subdirf2(optionfilefiname,"EXP_"),cpt,k1);
1.199     brouard  6119:       fprintf(ficgp,"set ter svg size 640, 480\n\
1.201     brouard  6120: 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  6121:       /*fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d-2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);
1.223     brouard  6122:        for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");
                   6123:        fprintf(ficgp,"\" t \"e%d1\" w l",cpt);
                   6124:        fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d+2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);
                   6125:        for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");
                   6126:        fprintf(ficgp,"\" t \"e%d1\" w l",cpt);
1.219     brouard  6127:                                
1.126     brouard  6128:       */
                   6129:       for (i=1; i< nlstate ; i ++) {
1.223     brouard  6130:        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);
                   6131:        /*      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  6132:                                
1.126     brouard  6133:       } 
1.201     brouard  6134:       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  6135:     }
                   6136:   }
                   6137:   
1.223     brouard  6138:   /* 4eme */
1.201     brouard  6139:   /* Survival functions (period) from state i in state j by initial state i */
                   6140:   for (k1=1; k1<= m ; k1 ++) { /* For each multivariate if any */
1.220     brouard  6141: 
1.201     brouard  6142:     for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state */
1.211     brouard  6143:       fprintf(ficgp,"\n#\n#\n# Survival functions in state j : 'LIJ_' files, cov=%d state=%d",k1, cpt);
1.225   ! brouard  6144:       for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
        !          6145:        lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
1.223     brouard  6146:        /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   6147:        /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   6148:        /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   6149:        vlv= nbcode[Tvaraff[k]][lv];
                   6150:        fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.211     brouard  6151:       }
                   6152:       fprintf(ficgp,"\n#\n");
1.223     brouard  6153:       if(invalidvarcomb[k1]){
                   6154:        fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   6155:        continue;
                   6156:       }
1.220     brouard  6157:                        
1.201     brouard  6158:       fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" \n",subdirf2(optionfilefiname,"LIJ_"),cpt,k1);
                   6159:       fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability to be alive\" \n\
1.220     brouard  6160: set ter svg size 640, 480\n                                                                                                                                                                                    \
                   6161: unset log y\n                                                                                                                                                                                                                                          \
1.201     brouard  6162: plot [%.f:%.f]  ", ageminpar, agemaxpar);
1.211     brouard  6163:       k=3;
1.201     brouard  6164:       for (i=1; i<= nlstate ; i ++){
1.223     brouard  6165:        if(i==1){
                   6166:          fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJ_"));
                   6167:        }else{
                   6168:          fprintf(ficgp,", '' ");
                   6169:        }
                   6170:        l=(nlstate+ndeath)*(i-1)+1;
                   6171:        fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l);
                   6172:        for (j=2; j<= nlstate+ndeath ; j ++)
                   6173:          fprintf(ficgp,"+$%d",k+l+j-1);
                   6174:        fprintf(ficgp,")) t \"l(%d,%d)\" w l",i,cpt);
1.201     brouard  6175:       } /* nlstate */
                   6176:       fprintf(ficgp,"\nset out\n");
                   6177:     } /* end cpt state*/ 
                   6178:   } /* end covariate */  
1.220     brouard  6179:        
                   6180: /* 5eme */
1.201     brouard  6181:   /* Survival functions (period) from state i in state j by final state j */
1.202     brouard  6182:   for (k1=1; k1<= m ; k1 ++) { /* For each covariate if any */
1.201     brouard  6183:     for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each inital state  */
1.223     brouard  6184:                        
1.201     brouard  6185:       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  6186:       for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
        !          6187:                                lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
1.220     brouard  6188:                                /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   6189:                                /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   6190:                                /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   6191:                                vlv= nbcode[Tvaraff[k]][lv];
                   6192:                                fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.211     brouard  6193:       }
                   6194:       fprintf(ficgp,"\n#\n");
1.223     brouard  6195:       if(invalidvarcomb[k1]){
                   6196:                                fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   6197:                                continue;
                   6198:       }
1.220     brouard  6199:                        
1.201     brouard  6200:       fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" \n",subdirf2(optionfilefiname,"LIJT_"),cpt,k1);
                   6201:       fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability to be alive\" \n\
1.220     brouard  6202: set ter svg size 640, 480\n                                                                                                                                                                                    \
                   6203: unset log y\n                                                                                                                                                                                                                                          \
1.201     brouard  6204: plot [%.f:%.f]  ", ageminpar, agemaxpar);
1.211     brouard  6205:       k=3;
1.201     brouard  6206:       for (j=1; j<= nlstate ; j ++){ /* Lived in state j */
1.220     brouard  6207:                                if(j==1)
                   6208:                                        fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJ_"));
                   6209:                                else
                   6210:                                        fprintf(ficgp,", '' ");
                   6211:                                l=(nlstate+ndeath)*(cpt-1) +j;
                   6212:                                fprintf(ficgp," u (($1==%d && (floor($2)%%5 == 0)) ? ($3):1/0):($%d",k1,k+l);
                   6213:                                /* for (i=2; i<= nlstate+ndeath ; i ++) */
                   6214:                                /*   fprintf(ficgp,"+$%d",k+l+i-1); */
                   6215:                                fprintf(ficgp,") t \"l(%d,%d)\" w l",cpt,j);
1.201     brouard  6216:       } /* nlstate */
                   6217:       fprintf(ficgp,", '' ");
                   6218:       fprintf(ficgp," u (($1==%d && (floor($2)%%5 == 0)) ? ($3):1/0):(",k1);
                   6219:       for (j=1; j<= nlstate ; j ++){ /* Lived in state j */
1.220     brouard  6220:                                l=(nlstate+ndeath)*(cpt-1) +j;
                   6221:                                if(j < nlstate)
                   6222:                                        fprintf(ficgp,"$%d +",k+l);
                   6223:                                else
                   6224:                                        fprintf(ficgp,"$%d) t\"l(%d,.)\" w l",k+l,cpt);
1.201     brouard  6225:       }
                   6226:       fprintf(ficgp,"\nset out\n");
                   6227:     } /* end cpt state*/ 
                   6228:   } /* end covariate */  
1.220     brouard  6229:        
                   6230: /* 6eme */
1.202     brouard  6231:   /* CV preval stable (period) for each covariate */
1.211     brouard  6232:   for (k1=1; k1<= m ; k1 ++) { /* For each covariate combination (1 to m=2**k), if any covariate is present */
1.153     brouard  6233:     for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state */
1.223     brouard  6234:                        
1.211     brouard  6235:       fprintf(ficgp,"\n#\n#\n#CV preval stable (period): 'pij' files, covariatecombination#=%d state=%d",k1, cpt);
1.225   ! brouard  6236:       for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
        !          6237:                                lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
1.220     brouard  6238:                                /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   6239:                                /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   6240:                                /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   6241:                                vlv= nbcode[Tvaraff[k]][lv];
                   6242:                                fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.211     brouard  6243:       }
                   6244:       fprintf(ficgp,"\n#\n");
1.223     brouard  6245:       if(invalidvarcomb[k1]){
                   6246:                                fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   6247:                                continue;
                   6248:       }
                   6249:                        
1.201     brouard  6250:       fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" \n",subdirf2(optionfilefiname,"P_"),cpt,k1);
1.126     brouard  6251:       fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \n\
1.223     brouard  6252: set ter svg size 640, 480\n                                                                                                                                                                             \
                   6253: unset log y\n                                                                                                                                                                                                                                   \
1.153     brouard  6254: plot [%.f:%.f]  ", ageminpar, agemaxpar);
1.211     brouard  6255:       k=3; /* Offset */
1.153     brouard  6256:       for (i=1; i<= nlstate ; i ++){
1.220     brouard  6257:                                if(i==1)
                   6258:                                        fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJ_"));
                   6259:                                else
                   6260:                                        fprintf(ficgp,", '' ");
                   6261:                                l=(nlstate+ndeath)*(i-1)+1;
                   6262:                                fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l);
                   6263:                                for (j=2; j<= nlstate ; j ++)
                   6264:                                        fprintf(ficgp,"+$%d",k+l+j-1);
                   6265:                                fprintf(ficgp,")) t \"prev(%d,%d)\" w l",i,cpt);
1.153     brouard  6266:       } /* nlstate */
1.201     brouard  6267:       fprintf(ficgp,"\nset out\n");
1.153     brouard  6268:     } /* end cpt state*/ 
                   6269:   } /* end covariate */  
1.223     brouard  6270:        
                   6271:        
1.220     brouard  6272: /* 7eme */
1.218     brouard  6273:   if(backcast == 1){
1.217     brouard  6274:     /* CV back preval stable (period) for each covariate */
1.218     brouard  6275:     for (k1=1; k1<= m ; k1 ++) { /* For each covariate combination (1 to m=2**k), if any covariate is present */
                   6276:       for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state */
1.220     brouard  6277:                                fprintf(ficgp,"\n#\n#\n#CV Back preval stable (period): 'pij' files, covariatecombination#=%d state=%d",k1, cpt);
1.225   ! brouard  6278:                                for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
        !          6279:                                        lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
1.220     brouard  6280:                                        /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   6281:                                        /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
1.223     brouard  6282:          /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
1.220     brouard  6283:                                        vlv= nbcode[Tvaraff[k]][lv];
                   6284:                                        fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
                   6285:                                }
                   6286:                                fprintf(ficgp,"\n#\n");
                   6287:                                if(invalidvarcomb[k1]){
1.223     brouard  6288:                                        fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   6289:                                        continue;
1.220     brouard  6290:                                }
                   6291:                                
                   6292:                                fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" \n",subdirf2(optionfilefiname,"PB_"),cpt,k1);
                   6293:                                fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \n\
                   6294: set ter svg size 640, 480\n                                                                                                                                                                                    \
                   6295: unset log y\n                                                                                                                                                                                                                                          \
1.218     brouard  6296: plot [%.f:%.f]  ", ageminpar, agemaxpar);
1.220     brouard  6297:                                k=3; /* Offset */
                   6298:                                for (i=1; i<= nlstate ; i ++){
                   6299:                                        if(i==1)
                   6300:                                                fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJB_"));
                   6301:                                        else
                   6302:                                                fprintf(ficgp,", '' ");
                   6303:                                        /* l=(nlstate+ndeath)*(i-1)+1; */
                   6304:                                        l=(nlstate+ndeath)*(cpt-1)+1;
                   6305:                                        /* fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l); /\* a vérifier *\/ */
                   6306:                                        /* fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l+(cpt-1)+i-1); /\* a vérifier *\/ */
                   6307:                                        fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d",k1,k+l+(cpt-1)+i-1); /* a vérifier */
                   6308:                                        /* for (j=2; j<= nlstate ; j ++) */
                   6309:                                        /*      fprintf(ficgp,"+$%d",k+l+j-1); */
                   6310:                                        /*      /\* fprintf(ficgp,"+$%d",k+l+j-1); *\/ */
                   6311:                                        fprintf(ficgp,") t \"bprev(%d,%d)\" w l",i,cpt);
                   6312:                                } /* nlstate */
                   6313:                                fprintf(ficgp,"\nset out\n");
1.218     brouard  6314:       } /* end cpt state*/ 
                   6315:     } /* end covariate */  
                   6316:   } /* End if backcast */
                   6317:   
1.223     brouard  6318:   /* 8eme */
1.218     brouard  6319:   if(prevfcast==1){
                   6320:     /* Projection from cross-sectional to stable (period) for each covariate */
                   6321:     
                   6322:     for (k1=1; k1<= m ; k1 ++) { /* For each covariate combination (1 to m=2**k), if any covariate is present */
1.211     brouard  6323:       for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state */
1.219     brouard  6324:                                fprintf(ficgp,"\n#\n#\n#Projection of prevalence to stable (period): 'PROJ_' files, covariatecombination#=%d state=%d",k1, cpt);
1.225   ! brouard  6325:                                for (k=1; k<=cptcoveff; k++){    /* For each correspondig covariate value  */
        !          6326:                                        lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to k1 combination and kth covariate */
1.219     brouard  6327:                                        /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   6328:                                        /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   6329:                                        /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   6330:                                        vlv= nbcode[Tvaraff[k]][lv];
1.220     brouard  6331:                                        fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.219     brouard  6332:                                }
                   6333:                                fprintf(ficgp,"\n#\n");
1.220     brouard  6334:                                if(invalidvarcomb[k1]){
1.223     brouard  6335:                                        fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   6336:                                        continue;
1.220     brouard  6337:                                }
1.219     brouard  6338:                                
                   6339:                                fprintf(ficgp,"# hpijx=probability over h years, hp.jx is weighted by observed prev\n ");
                   6340:                                fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" \n",subdirf2(optionfilefiname,"PROJ_"),cpt,k1);
                   6341:                                fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Prevalence\" \n\
1.223     brouard  6342: set ter svg size 640, 480\n                                                                                                                                                                                    \
                   6343: unset log y\n                                                                                                                                                                                                                                          \
1.219     brouard  6344: plot [%.f:%.f]  ", ageminpar, agemaxpar);
                   6345:                                for (i=1; i<= nlstate+1 ; i ++){  /* nlstate +1 p11 p21 p.1 */
                   6346:                                        /*#  V1  = 1  V2 =  0 yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
                   6347:                                        /*#   1    2   3    4    5      6  7   8   9   10   11 12  13   14  15 */   
                   6348:                                        /*# yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
                   6349:                                        /*#   1       2   3    4    5      6  7   8   9   10   11 12  13   14  15 */   
                   6350:                                        if(i==1){
                   6351:                                                fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"F_"));
                   6352:                                        }else{
                   6353:                                                fprintf(ficgp,",\\\n '' ");
                   6354:                                        }
1.225   ! brouard  6355:                                        if(cptcoveff ==0){ /* No covariate */
1.219     brouard  6356:                                                ioffset=2; /* Age is in 2 */
                   6357:                                                /*# yearproj age p11 p21 p31 p.1 p12 p22 p32 p.2 p13 p23 p33 p.3 p14 p24 p34 p.4*/
                   6358:                                                /*#   1       2   3   4   5  6    7  8   9   10  11  12  13  14  15  16  17  18 */
                   6359:                                                /*# V1  = 1 yearproj age p11 p21 p31 p.1 p12 p22 p32 p.2 p13 p23 p33 p.3 p14 p24 p34 p.4*/
                   6360:                                                /*#  1    2        3   4   5  6    7  8   9   10  11  12  13  14  15  16  17  18 */
                   6361:                                                fprintf(ficgp," u %d:(", ioffset); 
                   6362:                                                if(i==nlstate+1)
                   6363:                                                        fprintf(ficgp," $%d/(1.-$%d)) t 'pw.%d' with line ",                    \
                   6364:                                                                                        ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate,cpt );
                   6365:                                                else
                   6366:                                                        fprintf(ficgp," $%d/(1.-$%d)) t 'p%d%d' with line ",                    \
                   6367:                                                                                        ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate,i,cpt );
                   6368:                                        }else{ /* more than 2 covariates */
1.225   ! brouard  6369:                                                if(cptcoveff ==1){
1.219     brouard  6370:                                                        ioffset=4; /* Age is in 4 */
                   6371:                                                }else{
                   6372:                                                        ioffset=6; /* Age is in 6 */
1.223     brouard  6373:                                                        /*#  V1  = 1  V2 =  0 yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
                   6374:                                                        /*#   1    2   3    4    5      6  7   8   9   10   11 12  13   14  15 */
1.219     brouard  6375:                                                }   
1.220     brouard  6376:                                                fprintf(ficgp," u %d:(",ioffset); 
1.219     brouard  6377:                                                kl=0;
1.220     brouard  6378:                                                strcpy(gplotcondition,"(");
1.225   ! brouard  6379:                                                for (k=1; k<=cptcoveff; k++){    /* For each covariate writing the chain of conditions */
        !          6380:                                                        lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to combination k1 and covariate k */
1.219     brouard  6381:                                                        /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   6382:                                                        /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   6383:                                                        /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
1.220     brouard  6384:                                                        vlv= nbcode[Tvaraff[k]][lv]; /* Value of the modality of Tvaraff[k] */
                   6385:                                                        kl++;
                   6386:                                                        sprintf(gplotcondition+strlen(gplotcondition),"$%d==%d && $%d==%d " ,kl,Tvaraff[k], kl+1, nbcode[Tvaraff[k]][lv]);
1.219     brouard  6387:                                                        kl++;
1.225   ! brouard  6388:                                                        if(k <cptcoveff && cptcoveff>1)
1.220     brouard  6389:                                                                sprintf(gplotcondition+strlen(gplotcondition)," && ");
                   6390:                                                }
                   6391:                                                strcpy(gplotcondition+strlen(gplotcondition),")");
                   6392:                                                /* 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 *\/ */
                   6393:                                                /*6+(cpt-1)*(nlstate+1)+1+(i-1)+(nlstate+1)*nlstate; 6+(1-1)*(2+1)+1+(1-1) +(2+1)*2=13 */ 
                   6394:                                                /*6+1+(i-1)+(nlstate+1)*nlstate; 6+1+(1-1) +(2+1)*2=13 */ 
                   6395:                                                /* ''  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*/
                   6396:                                                if(i==nlstate+1){
                   6397:                                                        fprintf(ficgp,"%s ? $%d/(1.-$%d) : 1/0) t 'p.%d' with line ", gplotcondition, \
                   6398:                                                                                        ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate,cpt );
                   6399:                                                }else{
1.223     brouard  6400:                                                        fprintf(ficgp,"%s ? $%d/(1.-$%d) : 1/0) t 'p%d%d' with line ", gplotcondition, \
                   6401:                                                                                        ioffset+(cpt-1)*(nlstate+1)+1+(i-1), ioffset +1+(i-1)+(nlstate+1)*nlstate,i,cpt );
1.220     brouard  6402:                                                }
1.219     brouard  6403:                                        } /* end if covariate */
                   6404:                                } /* nlstate */
                   6405:                                fprintf(ficgp,"\nset out\n");
1.223     brouard  6406:       } /* end cpt state*/
                   6407:     } /* end covariate */
                   6408:   } /* End if prevfcast */
1.219     brouard  6409:        
1.211     brouard  6410:        
1.223     brouard  6411:   /* proba elementaires */
                   6412:   fprintf(ficgp,"\n##############\n#MLE estimated parameters\n#############\n");
1.126     brouard  6413:   for(i=1,jk=1; i <=nlstate; i++){
1.187     brouard  6414:     fprintf(ficgp,"# initial state %d\n",i);
1.126     brouard  6415:     for(k=1; k <=(nlstate+ndeath); k++){
                   6416:       if (k != i) {
1.223     brouard  6417:                                fprintf(ficgp,"#   current state %d\n",k);
                   6418:                                for(j=1; j <=ncovmodel; j++){
                   6419:                                        fprintf(ficgp,"p%d=%f; ",jk,p[jk]);
                   6420:                                        jk++; 
                   6421:                                }
                   6422:                                fprintf(ficgp,"\n");
1.126     brouard  6423:       }
                   6424:     }
1.223     brouard  6425:   }
1.187     brouard  6426:   fprintf(ficgp,"##############\n#\n");
1.223     brouard  6427:        
1.145     brouard  6428:   /*goto avoid;*/
1.200     brouard  6429:   fprintf(ficgp,"\n##############\n#Graphics of probabilities or incidences\n#############\n");
1.187     brouard  6430:   fprintf(ficgp,"# logi(p12/p11)=a12+b12*age+c12age*age+d12*V1+e12*V1*age\n");
                   6431:   fprintf(ficgp,"# logi(p12/p11)=p1 +p2*age +p3*age*age+ p4*V1+ p5*V1*age\n");
                   6432:   fprintf(ficgp,"# logi(p13/p11)=a13+b13*age+c13age*age+d13*V1+e13*V1*age\n");
                   6433:   fprintf(ficgp,"# logi(p13/p11)=p6 +p7*age +p8*age*age+ p9*V1+ p10*V1*age\n");
                   6434:   fprintf(ficgp,"# p12+p13+p14+p11=1=p11(1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
                   6435:   fprintf(ficgp,"#                      +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age)+...)\n");
                   6436:   fprintf(ficgp,"# p11=1/(1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
                   6437:   fprintf(ficgp,"#                      +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age)+...)\n");
                   6438:   fprintf(ficgp,"# p12=exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)/\n");
                   6439:   fprintf(ficgp,"#     (1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
                   6440:   fprintf(ficgp,"#       +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age))\n");
                   6441:   fprintf(ficgp,"#       +exp(a14+b14*age+c14age*age+d14*V1+e14*V1*age)+...)\n");
                   6442:   fprintf(ficgp,"#\n");
1.223     brouard  6443:   for(ng=1; ng<=3;ng++){ /* Number of graphics: first is logit, 2nd is probabilities, third is incidences per year*/
                   6444:     fprintf(ficgp,"# ng=%d\n",ng);
1.225   ! brouard  6445:     fprintf(ficgp,"#   jk=1 to 2^%d=%d\n",cptcoveff,m);
1.223     brouard  6446:     for(jk=1; jk <=m; jk++) {
                   6447:       fprintf(ficgp,"#    jk=%d\n",jk);
                   6448:       fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" ",subdirf2(optionfilefiname,"PE_"),jk,ng);
                   6449:       fprintf(ficgp,"\nset ter svg size 640, 480 ");
                   6450:       if (ng==1){
                   6451:        fprintf(ficgp,"\nset ylabel \"Value of the logit of the model\"\n"); /* exp(a12+b12*x) could be nice */
                   6452:        fprintf(ficgp,"\nunset log y");
                   6453:       }else if (ng==2){
                   6454:        fprintf(ficgp,"\nset ylabel \"Probability\"\n");
                   6455:        fprintf(ficgp,"\nset log y");
                   6456:       }else if (ng==3){
                   6457:        fprintf(ficgp,"\nset ylabel \"Quasi-incidence per year\"\n");
                   6458:        fprintf(ficgp,"\nset log y");
                   6459:       }else
                   6460:        fprintf(ficgp,"\nunset title ");
                   6461:       fprintf(ficgp,"\nplot  [%.f:%.f] ",ageminpar,agemaxpar);
                   6462:       i=1;
                   6463:       for(k2=1; k2<=nlstate; k2++) {
                   6464:        k3=i;
                   6465:        for(k=1; k<=(nlstate+ndeath); k++) {
                   6466:          if (k != k2){
                   6467:            switch( ng) {
                   6468:            case 1:
                   6469:              if(nagesqr==0)
                   6470:                fprintf(ficgp," p%d+p%d*x",i,i+1);
                   6471:              else /* nagesqr =1 */
                   6472:                fprintf(ficgp," p%d+p%d*x+p%d*x*x",i,i+1,i+1+nagesqr);
                   6473:              break;
                   6474:            case 2: /* ng=2 */
                   6475:              if(nagesqr==0)
                   6476:                fprintf(ficgp," exp(p%d+p%d*x",i,i+1);
                   6477:              else /* nagesqr =1 */
                   6478:                fprintf(ficgp," exp(p%d+p%d*x+p%d*x*x",i,i+1,i+1+nagesqr);
                   6479:              break;
                   6480:            case 3:
                   6481:              if(nagesqr==0)
                   6482:                fprintf(ficgp," %f*exp(p%d+p%d*x",YEARM/stepm,i,i+1);
                   6483:              else /* nagesqr =1 */
                   6484:                fprintf(ficgp," %f*exp(p%d+p%d*x+p%d*x*x",YEARM/stepm,i,i+1,i+1+nagesqr);
                   6485:              break;
                   6486:            }
                   6487:            ij=1;/* To be checked else nbcode[0][0] wrong */
                   6488:            for(j=3; j <=ncovmodel-nagesqr; j++) {
                   6489:              /* printf("Tage[%d]=%d, j=%d\n", ij, Tage[ij], j); */
                   6490:              if(ij <=cptcovage) { /* Bug valgrind */
                   6491:                if((j-2)==Tage[ij]) { /* Bug valgrind */
                   6492:                  fprintf(ficgp,"+p%d*%d*x",i+j+nagesqr-1,nbcode[Tvar[j-2]][codtabm(jk,j-2)]);
                   6493:                  /* fprintf(ficgp,"+p%d*%d*x",i+j+nagesqr-1,nbcode[Tvar[j-2]][codtabm(jk,Tvar[j-2])]); */
                   6494:                  ij++;
                   6495:                }
                   6496:              }
                   6497:              else
1.225   ! brouard  6498:                                        fprintf(ficgp,"+p%d*%d",i+j+nagesqr-1,nbcode[Tvar[j-2]][codtabm(jk,j-2)]); /* Valgrind bug nbcode */
1.223     brouard  6499:            }
                   6500:          }else{
                   6501:            i=i-ncovmodel;
                   6502:            if(ng !=1 ) /* For logit formula of log p11 is more difficult to get */
                   6503:              fprintf(ficgp," (1.");
                   6504:          }
1.217     brouard  6505:           
1.223     brouard  6506:          if(ng != 1){
                   6507:            fprintf(ficgp,")/(1");
1.126     brouard  6508:             
1.223     brouard  6509:            for(k1=1; k1 <=nlstate; k1++){ 
                   6510:              if(nagesqr==0)
                   6511:                fprintf(ficgp,"+exp(p%d+p%d*x",k3+(k1-1)*ncovmodel,k3+(k1-1)*ncovmodel+1);
                   6512:              else /* nagesqr =1 */
                   6513:                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  6514:               
1.223     brouard  6515:              ij=1;
                   6516:              for(j=3; j <=ncovmodel-nagesqr; j++){
                   6517:                if(ij <=cptcovage) { /* Bug valgrind */
                   6518:                  if((j-2)==Tage[ij]) { /* Bug valgrind */
                   6519:                    fprintf(ficgp,"+p%d*%d*x",k3+(k1-1)*ncovmodel+1+j-2+nagesqr,nbcode[Tvar[j-2]][codtabm(jk,j-2)]);
                   6520:                    /* fprintf(ficgp,"+p%d*%d*x",k3+(k1-1)*ncovmodel+1+j-2+nagesqr,nbcode[Tvar[j-2]][codtabm(jk,Tvar[j-2])]); */
                   6521:                    ij++;
                   6522:                  }
                   6523:                }
                   6524:                else
1.225   ! brouard  6525:                  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  6526:              }
                   6527:              fprintf(ficgp,")");
                   6528:            }
                   6529:            fprintf(ficgp,")");
                   6530:            if(ng ==2)
                   6531:              fprintf(ficgp," t \"p%d%d\" ", k2,k);
                   6532:            else /* ng= 3 */
                   6533:              fprintf(ficgp," t \"i%d%d\" ", k2,k);
                   6534:          }else{ /* end ng <> 1 */
                   6535:            if( k !=k2) /* logit p11 is hard to draw */
                   6536:              fprintf(ficgp," t \"logit(p%d%d)\" ", k2,k);
                   6537:          }
                   6538:          if ((k+k2)!= (nlstate*2+ndeath) && ng != 1)
                   6539:            fprintf(ficgp,",");
                   6540:          if (ng == 1 && k!=k2 && (k+k2)!= (nlstate*2+ndeath))
                   6541:            fprintf(ficgp,",");
                   6542:          i=i+ncovmodel;
                   6543:        } /* end k */
                   6544:       } /* end k2 */
                   6545:       fprintf(ficgp,"\n set out\n");
                   6546:     } /* end jk */
                   6547:   } /* end ng */
                   6548:   /* avoid: */
                   6549:   fflush(ficgp); 
1.126     brouard  6550: }  /* end gnuplot */
                   6551: 
                   6552: 
                   6553: /*************** Moving average **************/
1.219     brouard  6554: /* int movingaverage(double ***probs, double bage, double fage, double ***mobaverage, int mobilav, double bageout, double fageout){ */
1.222     brouard  6555:  int movingaverage(double ***probs, double bage, double fage, double ***mobaverage, int mobilav){
1.218     brouard  6556:    
1.222     brouard  6557:    int i, cpt, cptcod;
                   6558:    int modcovmax =1;
                   6559:    int mobilavrange, mob;
                   6560:    int iage=0;
                   6561: 
                   6562:    double sum=0.;
                   6563:    double age;
                   6564:    double *sumnewp, *sumnewm;
                   6565:    double *agemingood, *agemaxgood; /* Currently identical for all covariates */
                   6566:   
                   6567:   
1.225   ! brouard  6568:    /* modcovmax=2*cptcoveff;/\* Max number of modalities. We suppose  */
1.222     brouard  6569:    /*             a covariate has 2 modalities, should be equal to ncovcombmax  *\/ */
                   6570: 
                   6571:    sumnewp = vector(1,ncovcombmax);
                   6572:    sumnewm = vector(1,ncovcombmax);
                   6573:    agemingood = vector(1,ncovcombmax); 
                   6574:    agemaxgood = vector(1,ncovcombmax);
                   6575: 
                   6576:    for (cptcod=1;cptcod<=ncovcombmax;cptcod++){
                   6577:      sumnewm[cptcod]=0.;
                   6578:      sumnewp[cptcod]=0.;
                   6579:      agemingood[cptcod]=0;
                   6580:      agemaxgood[cptcod]=0;
                   6581:    }
                   6582:    if (cptcovn<1) ncovcombmax=1; /* At least 1 pass */
                   6583:   
                   6584:    if(mobilav==1||mobilav ==3 ||mobilav==5 ||mobilav== 7){
                   6585:      if(mobilav==1) mobilavrange=5; /* default */
                   6586:      else mobilavrange=mobilav;
                   6587:      for (age=bage; age<=fage; age++)
                   6588:        for (i=1; i<=nlstate;i++)
                   6589:         for (cptcod=1;cptcod<=ncovcombmax;cptcod++)
                   6590:           mobaverage[(int)age][i][cptcod]=probs[(int)age][i][cptcod];
                   6591:      /* We keep the original values on the extreme ages bage, fage and for 
                   6592:        fage+1 and bage-1 we use a 3 terms moving average; for fage+2 bage+2
                   6593:        we use a 5 terms etc. until the borders are no more concerned. 
                   6594:      */ 
                   6595:      for (mob=3;mob <=mobilavrange;mob=mob+2){
                   6596:        for (age=bage+(mob-1)/2; age<=fage-(mob-1)/2; age++){
                   6597:         for (i=1; i<=nlstate;i++){
                   6598:           for (cptcod=1;cptcod<=ncovcombmax;cptcod++){
                   6599:             mobaverage[(int)age][i][cptcod] =probs[(int)age][i][cptcod];
                   6600:             for (cpt=1;cpt<=(mob-1)/2;cpt++){
                   6601:               mobaverage[(int)age][i][cptcod] +=probs[(int)age-cpt][i][cptcod];
                   6602:               mobaverage[(int)age][i][cptcod] +=probs[(int)age+cpt][i][cptcod];
                   6603:             }
                   6604:             mobaverage[(int)age][i][cptcod]=mobaverage[(int)age][i][cptcod]/mob;
                   6605:           }
                   6606:         }
                   6607:        }/* end age */
                   6608:      }/* end mob */
                   6609:    }else
                   6610:      return -1;
                   6611:    for (cptcod=1;cptcod<=ncovcombmax;cptcod++){
                   6612:      /* for (age=bage+(mob-1)/2; age<=fage-(mob-1)/2; age++){ */
                   6613:      if(invalidvarcomb[cptcod]){
                   6614:        printf("\nCombination (%d) ignored because no cases \n",cptcod); 
                   6615:        continue;
                   6616:      }
1.219     brouard  6617: 
1.222     brouard  6618:      agemingood[cptcod]=fage-(mob-1)/2;
                   6619:      for (age=fage-(mob-1)/2; age>=bage; age--){/* From oldest to youngest, finding the youngest wrong */
                   6620:        sumnewm[cptcod]=0.;
                   6621:        for (i=1; i<=nlstate;i++){
                   6622:         sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
                   6623:        }
                   6624:        if(fabs(sumnewm[cptcod] - 1.) <= 1.e-3) { /* good */
                   6625:         agemingood[cptcod]=age;
                   6626:        }else{ /* bad */
                   6627:         for (i=1; i<=nlstate;i++){
                   6628:           mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemingood[cptcod]][i][cptcod];
                   6629:         } /* i */
                   6630:        } /* end bad */
                   6631:      }/* age */
                   6632:      sum=0.;
                   6633:      for (i=1; i<=nlstate;i++){
                   6634:        sum+=mobaverage[(int)agemingood[cptcod]][i][cptcod];
                   6635:      }
                   6636:      if(fabs(sum - 1.) > 1.e-3) { /* bad */
                   6637:        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);
                   6638:        /* for (i=1; i<=nlstate;i++){ */
                   6639:        /*   mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemingood[cptcod]][i][cptcod]; */
                   6640:        /* } /\* i *\/ */
                   6641:      } /* end bad */
                   6642:      /* else{ /\* We found some ages summing to one, we will smooth the oldest *\/ */
                   6643:      /* From youngest, finding the oldest wrong */
                   6644:      agemaxgood[cptcod]=bage+(mob-1)/2;
                   6645:      for (age=bage+(mob-1)/2; age<=fage; age++){
                   6646:        sumnewm[cptcod]=0.;
                   6647:        for (i=1; i<=nlstate;i++){
                   6648:         sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
                   6649:        }
                   6650:        if(fabs(sumnewm[cptcod] - 1.) <= 1.e-3) { /* good */
                   6651:         agemaxgood[cptcod]=age;
                   6652:        }else{ /* bad */
                   6653:         for (i=1; i<=nlstate;i++){
                   6654:           mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemaxgood[cptcod]][i][cptcod];
                   6655:         } /* i */
                   6656:        } /* end bad */
                   6657:      }/* age */
                   6658:      sum=0.;
                   6659:      for (i=1; i<=nlstate;i++){
                   6660:        sum+=mobaverage[(int)agemaxgood[cptcod]][i][cptcod];
                   6661:      }
                   6662:      if(fabs(sum - 1.) > 1.e-3) { /* bad */
                   6663:        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);
                   6664:        /* for (i=1; i<=nlstate;i++){ */
                   6665:        /*   mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemingood[cptcod]][i][cptcod]; */
                   6666:        /* } /\* i *\/ */
                   6667:      } /* end bad */
                   6668:                
                   6669:      for (age=bage; age<=fage; age++){
                   6670:        printf("%d %d ", cptcod, (int)age);
                   6671:        sumnewp[cptcod]=0.;
                   6672:        sumnewm[cptcod]=0.;
                   6673:        for (i=1; i<=nlstate;i++){
                   6674:         sumnewp[cptcod]+=probs[(int)age][i][cptcod];
                   6675:         sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
                   6676:         /* printf("%.4f %.4f ",probs[(int)age][i][cptcod], mobaverage[(int)age][i][cptcod]); */
                   6677:        }
                   6678:        /* printf("%.4f %.4f \n",sumnewp[cptcod], sumnewm[cptcod]); */
                   6679:      }
                   6680:      /* printf("\n"); */
                   6681:      /* } */
                   6682:      /* brutal averaging */
                   6683:      for (i=1; i<=nlstate;i++){
                   6684:        for (age=1; age<=bage; age++){
                   6685:         mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemingood[cptcod]][i][cptcod];
                   6686:         /* printf("age=%d i=%d cptcod=%d mobaverage=%.4f \n",(int)age,i, cptcod, mobaverage[(int)age][i][cptcod]); */
                   6687:        }       
                   6688:        for (age=fage; age<=AGESUP; age++){
                   6689:         mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemaxgood[cptcod]][i][cptcod];
                   6690:         /* printf("age=%d i=%d cptcod=%d mobaverage=%.4f \n",(int)age,i, cptcod, mobaverage[(int)age][i][cptcod]); */
                   6691:        }
                   6692:      } /* end i status */
                   6693:      for (i=nlstate+1; i<=nlstate+ndeath;i++){
                   6694:        for (age=1; age<=AGESUP; age++){
                   6695:         /*printf("i=%d, age=%d, cptcod=%d\n",i, (int)age, cptcod);*/
                   6696:         mobaverage[(int)age][i][cptcod]=0.;
                   6697:        }
                   6698:      }
                   6699:    }/* end cptcod */
                   6700:    free_vector(sumnewm,1, ncovcombmax);
                   6701:    free_vector(sumnewp,1, ncovcombmax);
                   6702:    free_vector(agemaxgood,1, ncovcombmax);
                   6703:    free_vector(agemingood,1, ncovcombmax);
                   6704:    return 0;
                   6705:  }/* End movingaverage */
1.218     brouard  6706:  
1.126     brouard  6707: 
                   6708: /************** Forecasting ******************/
1.225   ! brouard  6709: 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  6710:   /* proj1, year, month, day of starting projection 
                   6711:      agemin, agemax range of age
                   6712:      dateprev1 dateprev2 range of dates during which prevalence is computed
                   6713:      anproj2 year of en of projection (same day and month as proj1).
                   6714:   */
1.164     brouard  6715:   int yearp, stepsize, hstepm, nhstepm, j, k, cptcod, i, h, i1;
1.126     brouard  6716:   double agec; /* generic age */
                   6717:   double agelim, ppij, yp,yp1,yp2,jprojmean,mprojmean,anprojmean;
                   6718:   double *popeffectif,*popcount;
                   6719:   double ***p3mat;
1.218     brouard  6720:   /* double ***mobaverage; */
1.126     brouard  6721:   char fileresf[FILENAMELENGTH];
                   6722: 
                   6723:   agelim=AGESUP;
1.211     brouard  6724:   /* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people
                   6725:      in each health status at the date of interview (if between dateprev1 and dateprev2).
                   6726:      We still use firstpass and lastpass as another selection.
                   6727:   */
1.214     brouard  6728:   /* freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint,strstart,\ */
                   6729:   /*         firstpass, lastpass,  stepm,  weightopt, model); */
1.126     brouard  6730:  
1.201     brouard  6731:   strcpy(fileresf,"F_"); 
                   6732:   strcat(fileresf,fileresu);
1.126     brouard  6733:   if((ficresf=fopen(fileresf,"w"))==NULL) {
                   6734:     printf("Problem with forecast resultfile: %s\n", fileresf);
                   6735:     fprintf(ficlog,"Problem with forecast resultfile: %s\n", fileresf);
                   6736:   }
1.215     brouard  6737:   printf("Computing forecasting: result on file '%s', please wait... \n", fileresf);
                   6738:   fprintf(ficlog,"Computing forecasting: result on file '%s', please wait... \n", fileresf);
1.126     brouard  6739: 
1.225   ! brouard  6740:   if (cptcoveff==0) ncodemax[cptcoveff]=1;
1.126     brouard  6741: 
                   6742: 
                   6743:   stepsize=(int) (stepm+YEARM-1)/YEARM;
                   6744:   if (stepm<=12) stepsize=1;
                   6745:   if(estepm < stepm){
                   6746:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   6747:   }
                   6748:   else  hstepm=estepm;   
                   6749: 
                   6750:   hstepm=hstepm/stepm; 
                   6751:   yp1=modf(dateintmean,&yp);/* extracts integral of datemean in yp  and
                   6752:                                fractional in yp1 */
                   6753:   anprojmean=yp;
                   6754:   yp2=modf((yp1*12),&yp);
                   6755:   mprojmean=yp;
                   6756:   yp1=modf((yp2*30.5),&yp);
                   6757:   jprojmean=yp;
                   6758:   if(jprojmean==0) jprojmean=1;
                   6759:   if(mprojmean==0) jprojmean=1;
                   6760: 
1.225   ! brouard  6761:   i1=cptcoveff;
1.126     brouard  6762:   if (cptcovn < 1){i1=1;}
                   6763:   
                   6764:   fprintf(ficresf,"# Mean day of interviews %.lf/%.lf/%.lf (%.2f) between %.2f and %.2f \n",jprojmean,mprojmean,anprojmean,dateintmean,dateprev1,dateprev2); 
                   6765:   
                   6766:   fprintf(ficresf,"#****** Routine prevforecast **\n");
                   6767: 
                   6768: /*           if (h==(int)(YEARM*yearp)){ */
                   6769:   for(cptcov=1, k=0;cptcov<=i1;cptcov++){
1.225   ! brouard  6770:     for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){
1.126     brouard  6771:       k=k+1;
1.211     brouard  6772:       fprintf(ficresf,"\n#****** hpijx=probability over h years, hp.jx is weighted by observed prev \n#");
1.225   ! brouard  6773:       for(j=1;j<=cptcoveff;j++) {
1.219     brouard  6774:                                fprintf(ficresf," V%d (=) %d",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.126     brouard  6775:       }
1.211     brouard  6776:       fprintf(ficresf," yearproj age");
1.126     brouard  6777:       for(j=1; j<=nlstate+ndeath;j++){ 
1.219     brouard  6778:                                for(i=1; i<=nlstate;i++)              
1.126     brouard  6779:           fprintf(ficresf," p%d%d",i,j);
1.219     brouard  6780:                                fprintf(ficresf," wp.%d",j);
1.126     brouard  6781:       }
1.217     brouard  6782:       for (yearp=0; yearp<=(anproj2-anproj1);yearp +=stepsize) {
1.219     brouard  6783:                                fprintf(ficresf,"\n");
                   6784:                                fprintf(ficresf,"\n# Forecasting at date %.lf/%.lf/%.lf ",jproj1,mproj1,anproj1+yearp);   
                   6785:                                for (agec=fage; agec>=(ageminpar-1); agec--){ 
                   6786:                                        nhstepm=(int) rint((agelim-agec)*YEARM/stepm); 
                   6787:                                        nhstepm = nhstepm/hstepm; 
                   6788:                                        p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   6789:                                        oldm=oldms;savm=savms;
                   6790:                                        hpxij(p3mat,nhstepm,agec,hstepm,p,nlstate,stepm,oldm,savm, k);
                   6791:                                        
                   6792:                                        for (h=0; h<=nhstepm; h++){
                   6793:                                                if (h*hstepm/YEARM*stepm ==yearp) {
1.126     brouard  6794:               fprintf(ficresf,"\n");
1.225   ! brouard  6795:               for(j=1;j<=cptcoveff;j++) 
1.198     brouard  6796:                 fprintf(ficresf,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.219     brouard  6797:                                                        fprintf(ficresf,"%.f %.f ",anproj1+yearp,agec+h*hstepm/YEARM*stepm);
                   6798:                                                } 
                   6799:                                                for(j=1; j<=nlstate+ndeath;j++) {
                   6800:                                                        ppij=0.;
                   6801:                                                        for(i=1; i<=nlstate;i++) {
                   6802:                                                                if (mobilav==1) 
                   6803:                                                                        ppij=ppij+p3mat[i][j][h]*mobaverage[(int)agec][i][cptcod];
                   6804:                                                                else {
                   6805:                                                                        ppij=ppij+p3mat[i][j][h]*probs[(int)(agec)][i][cptcod];
                   6806:                                                                }
                   6807:                                                                if (h*hstepm/YEARM*stepm== yearp) {
                   6808:                                                                        fprintf(ficresf," %.3f", p3mat[i][j][h]);
                   6809:                                                                }
                   6810:                                                        } /* end i */
                   6811:                                                        if (h*hstepm/YEARM*stepm==yearp) {
                   6812:                                                                fprintf(ficresf," %.3f", ppij);
                   6813:                                                        }
                   6814:                                                }/* end j */
                   6815:                                        } /* end h */
                   6816:                                        free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   6817:                                } /* end agec */
1.126     brouard  6818:       } /* end yearp */
                   6819:     } /* end cptcod */
                   6820:   } /* end  cptcov */
1.219     brouard  6821:        
1.126     brouard  6822:   fclose(ficresf);
1.215     brouard  6823:   printf("End of Computing forecasting \n");
                   6824:   fprintf(ficlog,"End of Computing forecasting\n");
                   6825: 
1.126     brouard  6826: }
                   6827: 
1.218     brouard  6828: /* /\************** Back Forecasting ******************\/ */
1.225   ! brouard  6829: /* 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  6830: /*   /\* back1, year, month, day of starting backection  */
                   6831: /*      agemin, agemax range of age */
                   6832: /*      dateprev1 dateprev2 range of dates during which prevalence is computed */
                   6833: /*      anback2 year of en of backection (same day and month as back1). */
                   6834: /*   *\/ */
                   6835: /*   int yearp, stepsize, hstepm, nhstepm, j, k, cptcod, i, h, i1; */
                   6836: /*   double agec; /\* generic age *\/ */
                   6837: /*   double agelim, ppij, yp,yp1,yp2,jprojmean,mprojmean,anprojmean; */
                   6838: /*   double *popeffectif,*popcount; */
                   6839: /*   double ***p3mat; */
                   6840: /*   /\* double ***mobaverage; *\/ */
                   6841: /*   char fileresfb[FILENAMELENGTH]; */
                   6842:        
                   6843: /*   agelim=AGESUP; */
                   6844: /*   /\* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people */
                   6845: /*      in each health status at the date of interview (if between dateprev1 and dateprev2). */
                   6846: /*      We still use firstpass and lastpass as another selection. */
                   6847: /*   *\/ */
                   6848: /*   /\* freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint,strstart,\ *\/ */
                   6849: /*   /\*             firstpass, lastpass,  stepm,  weightopt, model); *\/ */
                   6850: /*   prevalence(probs, ageminpar, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass); */
                   6851:        
                   6852: /*   strcpy(fileresfb,"FB_");  */
                   6853: /*   strcat(fileresfb,fileresu); */
                   6854: /*   if((ficresfb=fopen(fileresfb,"w"))==NULL) { */
                   6855: /*     printf("Problem with back forecast resultfile: %s\n", fileresfb); */
                   6856: /*     fprintf(ficlog,"Problem with back forecast resultfile: %s\n", fileresfb); */
                   6857: /*   } */
                   6858: /*   printf("Computing back forecasting: result on file '%s', please wait... \n", fileresfb); */
                   6859: /*   fprintf(ficlog,"Computing back forecasting: result on file '%s', please wait... \n", fileresfb); */
                   6860:        
1.225   ! brouard  6861: /*   if (cptcoveff==0) ncodemax[cptcoveff]=1; */
1.218     brouard  6862:        
                   6863: /*   /\* if (mobilav!=0) { *\/ */
                   6864: /*   /\*   mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); *\/ */
                   6865: /*   /\*   if (movingaverage(probs, ageminpar, fage, mobaverage,mobilav)!=0){ *\/ */
                   6866: /*   /\*     fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav); *\/ */
                   6867: /*   /\*     printf(" Error in movingaverage mobilav=%d\n",mobilav); *\/ */
                   6868: /*   /\*   } *\/ */
                   6869: /*   /\* } *\/ */
                   6870:        
                   6871: /*   stepsize=(int) (stepm+YEARM-1)/YEARM; */
                   6872: /*   if (stepm<=12) stepsize=1; */
                   6873: /*   if(estepm < stepm){ */
                   6874: /*     printf ("Problem %d lower than %d\n",estepm, stepm); */
                   6875: /*   } */
                   6876: /*   else  hstepm=estepm;    */
                   6877:        
                   6878: /*   hstepm=hstepm/stepm;  */
                   6879: /*   yp1=modf(dateintmean,&yp);/\* extracts integral of datemean in yp  and */
                   6880: /*                                fractional in yp1 *\/ */
                   6881: /*   anprojmean=yp; */
                   6882: /*   yp2=modf((yp1*12),&yp); */
                   6883: /*   mprojmean=yp; */
                   6884: /*   yp1=modf((yp2*30.5),&yp); */
                   6885: /*   jprojmean=yp; */
                   6886: /*   if(jprojmean==0) jprojmean=1; */
                   6887: /*   if(mprojmean==0) jprojmean=1; */
                   6888:        
1.225   ! brouard  6889: /*   i1=cptcoveff; */
1.218     brouard  6890: /*   if (cptcovn < 1){i1=1;} */
1.217     brouard  6891:   
1.218     brouard  6892: /*   fprintf(ficresfb,"# Mean day of interviews %.lf/%.lf/%.lf (%.2f) between %.2f and %.2f \n",jprojmean,mprojmean,anprojmean,dateintmean,dateprev1,dateprev2);  */
1.217     brouard  6893:   
1.218     brouard  6894: /*   fprintf(ficresfb,"#****** Routine prevbackforecast **\n"); */
                   6895:        
                   6896: /*     /\*           if (h==(int)(YEARM*yearp)){ *\/ */
                   6897: /*   for(cptcov=1, k=0;cptcov<=i1;cptcov++){ */
1.225   ! brouard  6898: /*     for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){ */
1.218     brouard  6899: /*       k=k+1; */
                   6900: /*       fprintf(ficresfb,"\n#****** hbijx=probability over h years, hp.jx is weighted by observed prev \n#"); */
1.225   ! brouard  6901: /*       for(j=1;j<=cptcoveff;j++) { */
1.218     brouard  6902: /*                             fprintf(ficresfb," V%d (=) %d",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]); */
                   6903: /*       } */
                   6904: /*       fprintf(ficresfb," yearbproj age"); */
                   6905: /*       for(j=1; j<=nlstate+ndeath;j++){  */
                   6906: /*                             for(i=1; i<=nlstate;i++)               */
                   6907: /*           fprintf(ficresfb," p%d%d",i,j); */
                   6908: /*                             fprintf(ficresfb," p.%d",j); */
                   6909: /*       } */
                   6910: /*       for (yearp=0; yearp>=(anback2-anback1);yearp -=stepsize) {  */
                   6911: /*                             /\* for (yearp=0; yearp<=(anproj2-anproj1);yearp +=stepsize) {  *\/ */
                   6912: /*                             fprintf(ficresfb,"\n"); */
                   6913: /*                             fprintf(ficresfb,"\n# Back Forecasting at date %.lf/%.lf/%.lf ",jback1,mback1,anback1+yearp);    */
                   6914: /*                             for (agec=fage; agec>=(ageminpar-1); agec--){  */
                   6915: /*                                     nhstepm=(int) rint((agelim-agec)*YEARM/stepm);  */
                   6916: /*                                     nhstepm = nhstepm/hstepm;  */
                   6917: /*                                     p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); */
                   6918: /*                                     oldm=oldms;savm=savms; */
                   6919: /*                                     hbxij(p3mat,nhstepm,agec,hstepm,p,prevacurrent,nlstate,stepm,oldm,savm,oldm,savm, dnewm, doldm, dsavm, k);       */
                   6920: /*                                     for (h=0; h<=nhstepm; h++){ */
                   6921: /*                                             if (h*hstepm/YEARM*stepm ==yearp) { */
                   6922: /*               fprintf(ficresfb,"\n"); */
1.225   ! brouard  6923: /*               for(j=1;j<=cptcoveff;j++)  */
1.218     brouard  6924: /*                 fprintf(ficresfb,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]); */
                   6925: /*                                                     fprintf(ficresfb,"%.f %.f ",anback1+yearp,agec+h*hstepm/YEARM*stepm); */
                   6926: /*                                             }  */
                   6927: /*                                             for(j=1; j<=nlstate+ndeath;j++) { */
                   6928: /*                                                     ppij=0.; */
                   6929: /*                                                     for(i=1; i<=nlstate;i++) { */
                   6930: /*                                                             if (mobilav==1)  */
                   6931: /*                                                                     ppij=ppij+p3mat[i][j][h]*mobaverage[(int)agec][i][cptcod]; */
                   6932: /*                                                             else { */
                   6933: /*                                                                     ppij=ppij+p3mat[i][j][h]*probs[(int)(agec)][i][cptcod]; */
                   6934: /*                                                             } */
                   6935: /*                                                             if (h*hstepm/YEARM*stepm== yearp) { */
                   6936: /*                                                                     fprintf(ficresfb," %.3f", p3mat[i][j][h]); */
                   6937: /*                                                             } */
                   6938: /*                                                     } /\* end i *\/ */
                   6939: /*                                                     if (h*hstepm/YEARM*stepm==yearp) { */
                   6940: /*                                                             fprintf(ficresfb," %.3f", ppij); */
                   6941: /*                                                     } */
                   6942: /*                                             }/\* end j *\/ */
                   6943: /*                                     } /\* end h *\/ */
                   6944: /*                                     free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); */
                   6945: /*                             } /\* end agec *\/ */
                   6946: /*       } /\* end yearp *\/ */
                   6947: /*     } /\* end cptcod *\/ */
                   6948: /*   } /\* end  cptcov *\/ */
                   6949:        
                   6950: /*   /\* if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); *\/ */
                   6951:        
                   6952: /*   fclose(ficresfb); */
                   6953: /*   printf("End of Computing Back forecasting \n"); */
                   6954: /*   fprintf(ficlog,"End of Computing Back forecasting\n"); */
1.217     brouard  6955:        
1.218     brouard  6956: /* } */
1.217     brouard  6957: 
1.126     brouard  6958: /************** Forecasting *****not tested NB*************/
1.169     brouard  6959: void populforecast(char fileres[], double anpyram,double mpyram,double jpyram,double ageminpar, double agemax,double dateprev1, double dateprev2, int mobilav, double agedeb, double fage, int popforecast, char popfile[], double anpyram1,double p[], int i2){
1.126     brouard  6960:   
                   6961:   int cpt, stepsize, hstepm, nhstepm, j,k,c, cptcod, i,h;
                   6962:   int *popage;
                   6963:   double calagedatem, agelim, kk1, kk2;
                   6964:   double *popeffectif,*popcount;
                   6965:   double ***p3mat,***tabpop,***tabpopprev;
1.218     brouard  6966:   /* double ***mobaverage; */
1.126     brouard  6967:   char filerespop[FILENAMELENGTH];
                   6968: 
                   6969:   tabpop= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   6970:   tabpopprev= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   6971:   agelim=AGESUP;
                   6972:   calagedatem=(anpyram+mpyram/12.+jpyram/365.-dateintmean)*YEARM;
                   6973:   
                   6974:   prevalence(probs, ageminpar, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass);
                   6975:   
                   6976:   
1.201     brouard  6977:   strcpy(filerespop,"POP_"); 
                   6978:   strcat(filerespop,fileresu);
1.126     brouard  6979:   if((ficrespop=fopen(filerespop,"w"))==NULL) {
                   6980:     printf("Problem with forecast resultfile: %s\n", filerespop);
                   6981:     fprintf(ficlog,"Problem with forecast resultfile: %s\n", filerespop);
                   6982:   }
                   6983:   printf("Computing forecasting: result on file '%s' \n", filerespop);
                   6984:   fprintf(ficlog,"Computing forecasting: result on file '%s' \n", filerespop);
                   6985: 
1.225   ! brouard  6986:   if (cptcoveff==0) ncodemax[cptcoveff]=1;
1.126     brouard  6987: 
1.218     brouard  6988:   /* if (mobilav!=0) { */
                   6989:   /*   mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   6990:   /*   if (movingaverage(probs, ageminpar, fage, mobaverage,mobilav)!=0){ */
                   6991:   /*     fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav); */
                   6992:   /*     printf(" Error in movingaverage mobilav=%d\n",mobilav); */
                   6993:   /*   } */
                   6994:   /* } */
1.126     brouard  6995: 
                   6996:   stepsize=(int) (stepm+YEARM-1)/YEARM;
                   6997:   if (stepm<=12) stepsize=1;
                   6998:   
                   6999:   agelim=AGESUP;
                   7000:   
                   7001:   hstepm=1;
                   7002:   hstepm=hstepm/stepm; 
1.218     brouard  7003:        
1.126     brouard  7004:   if (popforecast==1) {
                   7005:     if((ficpop=fopen(popfile,"r"))==NULL) {
                   7006:       printf("Problem with population file : %s\n",popfile);exit(0);
                   7007:       fprintf(ficlog,"Problem with population file : %s\n",popfile);exit(0);
                   7008:     } 
                   7009:     popage=ivector(0,AGESUP);
                   7010:     popeffectif=vector(0,AGESUP);
                   7011:     popcount=vector(0,AGESUP);
                   7012:     
                   7013:     i=1;   
                   7014:     while ((c=fscanf(ficpop,"%d %lf\n",&popage[i],&popcount[i])) != EOF) i=i+1;
1.218     brouard  7015:     
1.126     brouard  7016:     imx=i;
                   7017:     for (i=1; i<imx;i++) popeffectif[popage[i]]=popcount[i];
                   7018:   }
1.218     brouard  7019:   
1.126     brouard  7020:   for(cptcov=1,k=0;cptcov<=i2;cptcov++){
1.225   ! brouard  7021:     for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){
1.126     brouard  7022:       k=k+1;
                   7023:       fprintf(ficrespop,"\n#******");
1.225   ! brouard  7024:       for(j=1;j<=cptcoveff;j++) {
1.198     brouard  7025:        fprintf(ficrespop," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.126     brouard  7026:       }
                   7027:       fprintf(ficrespop,"******\n");
                   7028:       fprintf(ficrespop,"# Age");
                   7029:       for(j=1; j<=nlstate+ndeath;j++) fprintf(ficrespop," P.%d",j);
                   7030:       if (popforecast==1)  fprintf(ficrespop," [Population]");
                   7031:       
                   7032:       for (cpt=0; cpt<=0;cpt++) { 
                   7033:        fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);   
                   7034:        
1.218     brouard  7035:        for (agedeb=(fage-((int)calagedatem %12/12.)); agedeb>=(ageminpar-((int)calagedatem %12)/12.); agedeb--){ 
1.126     brouard  7036:          nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); 
                   7037:          nhstepm = nhstepm/hstepm; 
                   7038:          
                   7039:          p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   7040:          oldm=oldms;savm=savms;
                   7041:          hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);  
1.218     brouard  7042:          
1.126     brouard  7043:          for (h=0; h<=nhstepm; h++){
                   7044:            if (h==(int) (calagedatem+YEARM*cpt)) {
                   7045:              fprintf(ficrespop,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm);
                   7046:            } 
                   7047:            for(j=1; j<=nlstate+ndeath;j++) {
                   7048:              kk1=0.;kk2=0;
                   7049:              for(i=1; i<=nlstate;i++) {              
                   7050:                if (mobilav==1) 
                   7051:                  kk1=kk1+p3mat[i][j][h]*mobaverage[(int)agedeb+1][i][cptcod];
                   7052:                else {
                   7053:                  kk1=kk1+p3mat[i][j][h]*probs[(int)(agedeb+1)][i][cptcod];
                   7054:                }
                   7055:              }
                   7056:              if (h==(int)(calagedatem+12*cpt)){
                   7057:                tabpop[(int)(agedeb)][j][cptcod]=kk1;
1.218     brouard  7058:                /*fprintf(ficrespop," %.3f", kk1);
                   7059:                  if (popforecast==1) fprintf(ficrespop," [%.f]", kk1*popeffectif[(int)agedeb+1]);*/
1.126     brouard  7060:              }
                   7061:            }
                   7062:            for(i=1; i<=nlstate;i++){
                   7063:              kk1=0.;
1.218     brouard  7064:              for(j=1; j<=nlstate;j++){
                   7065:                kk1= kk1+tabpop[(int)(agedeb)][j][cptcod]; 
                   7066:              }
                   7067:              tabpopprev[(int)(agedeb)][i][cptcod]=tabpop[(int)(agedeb)][i][cptcod]/kk1*popeffectif[(int)(agedeb+(calagedatem+12*cpt)*hstepm/YEARM*stepm-1)];
1.126     brouard  7068:            }
1.218     brouard  7069:            
                   7070:            if (h==(int)(calagedatem+12*cpt))
                   7071:              for(j=1; j<=nlstate;j++) 
                   7072:                fprintf(ficrespop," %15.2f",tabpopprev[(int)(agedeb+1)][j][cptcod]);
1.126     brouard  7073:          }
                   7074:          free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   7075:        }
                   7076:       }
1.218     brouard  7077:       
                   7078:       /******/
                   7079:       
1.126     brouard  7080:       for (cpt=1; cpt<=(anpyram1-anpyram);cpt++) { 
                   7081:        fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);   
                   7082:        for (agedeb=(fage-((int)calagedatem %12/12.)); agedeb>=(ageminpar-((int)calagedatem %12)/12.); agedeb--){ 
                   7083:          nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); 
                   7084:          nhstepm = nhstepm/hstepm; 
                   7085:          
                   7086:          p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   7087:          oldm=oldms;savm=savms;
                   7088:          hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);  
                   7089:          for (h=0; h<=nhstepm; h++){
                   7090:            if (h==(int) (calagedatem+YEARM*cpt)) {
                   7091:              fprintf(ficresf,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm);
                   7092:            } 
                   7093:            for(j=1; j<=nlstate+ndeath;j++) {
                   7094:              kk1=0.;kk2=0;
                   7095:              for(i=1; i<=nlstate;i++) {              
                   7096:                kk1=kk1+p3mat[i][j][h]*tabpopprev[(int)agedeb+1][i][cptcod];    
                   7097:              }
                   7098:              if (h==(int)(calagedatem+12*cpt)) fprintf(ficresf," %15.2f", kk1);        
                   7099:            }
                   7100:          }
                   7101:          free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   7102:        }
                   7103:       }
1.218     brouard  7104:     } 
1.126     brouard  7105:   }
1.218     brouard  7106:   
                   7107:   /* if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   7108:   
1.126     brouard  7109:   if (popforecast==1) {
                   7110:     free_ivector(popage,0,AGESUP);
                   7111:     free_vector(popeffectif,0,AGESUP);
                   7112:     free_vector(popcount,0,AGESUP);
                   7113:   }
                   7114:   free_ma3x(tabpop,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   7115:   free_ma3x(tabpopprev,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   7116:   fclose(ficrespop);
                   7117: } /* End of popforecast */
1.218     brouard  7118:  
1.126     brouard  7119: int fileappend(FILE *fichier, char *optionfich)
                   7120: {
                   7121:   if((fichier=fopen(optionfich,"a"))==NULL) {
                   7122:     printf("Problem with file: %s\n", optionfich);
                   7123:     fprintf(ficlog,"Problem with file: %s\n", optionfich);
                   7124:     return (0);
                   7125:   }
                   7126:   fflush(fichier);
                   7127:   return (1);
                   7128: }
                   7129: 
                   7130: 
                   7131: /**************** function prwizard **********************/
                   7132: void prwizard(int ncovmodel, int nlstate, int ndeath,  char model[], FILE *ficparo)
                   7133: {
                   7134: 
                   7135:   /* Wizard to print covariance matrix template */
                   7136: 
1.164     brouard  7137:   char ca[32], cb[32];
                   7138:   int i,j, k, li, lj, lk, ll, jj, npar, itimes;
1.126     brouard  7139:   int numlinepar;
                   7140: 
                   7141:   printf("# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   7142:   fprintf(ficparo,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   7143:   for(i=1; i <=nlstate; i++){
                   7144:     jj=0;
                   7145:     for(j=1; j <=nlstate+ndeath; j++){
                   7146:       if(j==i) continue;
                   7147:       jj++;
                   7148:       /*ca[0]= k+'a'-1;ca[1]='\0';*/
                   7149:       printf("%1d%1d",i,j);
                   7150:       fprintf(ficparo,"%1d%1d",i,j);
                   7151:       for(k=1; k<=ncovmodel;k++){
                   7152:        /*        printf(" %lf",param[i][j][k]); */
                   7153:        /*        fprintf(ficparo," %lf",param[i][j][k]); */
                   7154:        printf(" 0.");
                   7155:        fprintf(ficparo," 0.");
                   7156:       }
                   7157:       printf("\n");
                   7158:       fprintf(ficparo,"\n");
                   7159:     }
                   7160:   }
                   7161:   printf("# Scales (for hessian or gradient estimation)\n");
                   7162:   fprintf(ficparo,"# Scales (for hessian or gradient estimation)\n");
                   7163:   npar= (nlstate+ndeath-1)*nlstate*ncovmodel; /* Number of parameters*/ 
                   7164:   for(i=1; i <=nlstate; i++){
                   7165:     jj=0;
                   7166:     for(j=1; j <=nlstate+ndeath; j++){
                   7167:       if(j==i) continue;
                   7168:       jj++;
                   7169:       fprintf(ficparo,"%1d%1d",i,j);
                   7170:       printf("%1d%1d",i,j);
                   7171:       fflush(stdout);
                   7172:       for(k=1; k<=ncovmodel;k++){
                   7173:        /*      printf(" %le",delti3[i][j][k]); */
                   7174:        /*      fprintf(ficparo," %le",delti3[i][j][k]); */
                   7175:        printf(" 0.");
                   7176:        fprintf(ficparo," 0.");
                   7177:       }
                   7178:       numlinepar++;
                   7179:       printf("\n");
                   7180:       fprintf(ficparo,"\n");
                   7181:     }
                   7182:   }
                   7183:   printf("# Covariance matrix\n");
                   7184: /* # 121 Var(a12)\n\ */
                   7185: /* # 122 Cov(b12,a12) Var(b12)\n\ */
                   7186: /* # 131 Cov(a13,a12) Cov(a13,b12, Var(a13)\n\ */
                   7187: /* # 132 Cov(b13,a12) Cov(b13,b12, Cov(b13,a13) Var(b13)\n\ */
                   7188: /* # 212 Cov(a21,a12) Cov(a21,b12, Cov(a21,a13) Cov(a21,b13) Var(a21)\n\ */
                   7189: /* # 212 Cov(b21,a12) Cov(b21,b12, Cov(b21,a13) Cov(b21,b13) Cov(b21,a21) Var(b21)\n\ */
                   7190: /* # 232 Cov(a23,a12) Cov(a23,b12, Cov(a23,a13) Cov(a23,b13) Cov(a23,a21) Cov(a23,b21) Var(a23)\n\ */
                   7191: /* # 232 Cov(b23,a12) Cov(b23,b12) ... Var (b23)\n" */
                   7192:   fflush(stdout);
                   7193:   fprintf(ficparo,"# Covariance matrix\n");
                   7194:   /* # 121 Var(a12)\n\ */
                   7195:   /* # 122 Cov(b12,a12) Var(b12)\n\ */
                   7196:   /* #   ...\n\ */
                   7197:   /* # 232 Cov(b23,a12)  Cov(b23,b12) ... Var (b23)\n" */
                   7198:   
                   7199:   for(itimes=1;itimes<=2;itimes++){
                   7200:     jj=0;
                   7201:     for(i=1; i <=nlstate; i++){
                   7202:       for(j=1; j <=nlstate+ndeath; j++){
                   7203:        if(j==i) continue;
                   7204:        for(k=1; k<=ncovmodel;k++){
                   7205:          jj++;
                   7206:          ca[0]= k+'a'-1;ca[1]='\0';
                   7207:          if(itimes==1){
                   7208:            printf("#%1d%1d%d",i,j,k);
                   7209:            fprintf(ficparo,"#%1d%1d%d",i,j,k);
                   7210:          }else{
                   7211:            printf("%1d%1d%d",i,j,k);
                   7212:            fprintf(ficparo,"%1d%1d%d",i,j,k);
                   7213:            /*  printf(" %.5le",matcov[i][j]); */
                   7214:          }
                   7215:          ll=0;
                   7216:          for(li=1;li <=nlstate; li++){
                   7217:            for(lj=1;lj <=nlstate+ndeath; lj++){
                   7218:              if(lj==li) continue;
                   7219:              for(lk=1;lk<=ncovmodel;lk++){
                   7220:                ll++;
                   7221:                if(ll<=jj){
                   7222:                  cb[0]= lk +'a'-1;cb[1]='\0';
                   7223:                  if(ll<jj){
                   7224:                    if(itimes==1){
                   7225:                      printf(" Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   7226:                      fprintf(ficparo," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   7227:                    }else{
                   7228:                      printf(" 0.");
                   7229:                      fprintf(ficparo," 0.");
                   7230:                    }
                   7231:                  }else{
                   7232:                    if(itimes==1){
                   7233:                      printf(" Var(%s%1d%1d)",ca,i,j);
                   7234:                      fprintf(ficparo," Var(%s%1d%1d)",ca,i,j);
                   7235:                    }else{
                   7236:                      printf(" 0.");
                   7237:                      fprintf(ficparo," 0.");
                   7238:                    }
                   7239:                  }
                   7240:                }
                   7241:              } /* end lk */
                   7242:            } /* end lj */
                   7243:          } /* end li */
                   7244:          printf("\n");
                   7245:          fprintf(ficparo,"\n");
                   7246:          numlinepar++;
                   7247:        } /* end k*/
                   7248:       } /*end j */
                   7249:     } /* end i */
                   7250:   } /* end itimes */
                   7251: 
                   7252: } /* end of prwizard */
                   7253: /******************* Gompertz Likelihood ******************************/
                   7254: double gompertz(double x[])
                   7255: { 
                   7256:   double A,B,L=0.0,sump=0.,num=0.;
                   7257:   int i,n=0; /* n is the size of the sample */
                   7258: 
1.220     brouard  7259:   for (i=1;i<=imx ; i++) {
1.126     brouard  7260:     sump=sump+weight[i];
                   7261:     /*    sump=sump+1;*/
                   7262:     num=num+1;
                   7263:   }
                   7264:  
                   7265:  
                   7266:   /* for (i=0; i<=imx; i++) 
                   7267:      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]);*/
                   7268: 
                   7269:   for (i=1;i<=imx ; i++)
                   7270:     {
                   7271:       if (cens[i] == 1 && wav[i]>1)
                   7272:        A=-x[1]/(x[2])*(exp(x[2]*(agecens[i]-agegomp))-exp(x[2]*(ageexmed[i]-agegomp)));
                   7273:       
                   7274:       if (cens[i] == 0 && wav[i]>1)
                   7275:        A=-x[1]/(x[2])*(exp(x[2]*(agedc[i]-agegomp))-exp(x[2]*(ageexmed[i]-agegomp)))
                   7276:             +log(x[1]/YEARM)+x[2]*(agedc[i]-agegomp)+log(YEARM);  
                   7277:       
                   7278:       /*if (wav[i] > 1 && agecens[i] > 15) {*/ /* ??? */
                   7279:       if (wav[i] > 1 ) { /* ??? */
                   7280:        L=L+A*weight[i];
                   7281:        /*      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]);*/
                   7282:       }
                   7283:     }
                   7284: 
                   7285:  /*printf("x1=%2.9f x2=%2.9f x3=%2.9f L=%f\n",x[1],x[2],x[3],L);*/
                   7286:  
                   7287:   return -2*L*num/sump;
                   7288: }
                   7289: 
1.136     brouard  7290: #ifdef GSL
                   7291: /******************* Gompertz_f Likelihood ******************************/
                   7292: double gompertz_f(const gsl_vector *v, void *params)
                   7293: { 
                   7294:   double A,B,LL=0.0,sump=0.,num=0.;
                   7295:   double *x= (double *) v->data;
                   7296:   int i,n=0; /* n is the size of the sample */
                   7297: 
                   7298:   for (i=0;i<=imx-1 ; i++) {
                   7299:     sump=sump+weight[i];
                   7300:     /*    sump=sump+1;*/
                   7301:     num=num+1;
                   7302:   }
                   7303:  
                   7304:  
                   7305:   /* for (i=0; i<=imx; i++) 
                   7306:      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]);*/
                   7307:   printf("x[0]=%lf x[1]=%lf\n",x[0],x[1]);
                   7308:   for (i=1;i<=imx ; i++)
                   7309:     {
                   7310:       if (cens[i] == 1 && wav[i]>1)
                   7311:        A=-x[0]/(x[1])*(exp(x[1]*(agecens[i]-agegomp))-exp(x[1]*(ageexmed[i]-agegomp)));
                   7312:       
                   7313:       if (cens[i] == 0 && wav[i]>1)
                   7314:        A=-x[0]/(x[1])*(exp(x[1]*(agedc[i]-agegomp))-exp(x[1]*(ageexmed[i]-agegomp)))
                   7315:             +log(x[0]/YEARM)+x[1]*(agedc[i]-agegomp)+log(YEARM);  
                   7316:       
                   7317:       /*if (wav[i] > 1 && agecens[i] > 15) {*/ /* ??? */
                   7318:       if (wav[i] > 1 ) { /* ??? */
                   7319:        LL=LL+A*weight[i];
                   7320:        /*      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]);*/
                   7321:       }
                   7322:     }
                   7323: 
                   7324:  /*printf("x1=%2.9f x2=%2.9f x3=%2.9f L=%f\n",x[1],x[2],x[3],L);*/
                   7325:   printf("x[0]=%lf x[1]=%lf -2*LL*num/sump=%lf\n",x[0],x[1],-2*LL*num/sump);
                   7326:  
                   7327:   return -2*LL*num/sump;
                   7328: }
                   7329: #endif
                   7330: 
1.126     brouard  7331: /******************* Printing html file ***********/
1.201     brouard  7332: void printinghtmlmort(char fileresu[], char title[], char datafile[], int firstpass, \
1.126     brouard  7333:                  int lastpass, int stepm, int weightopt, char model[],\
                   7334:                  int imx,  double p[],double **matcov,double agemortsup){
                   7335:   int i,k;
                   7336: 
                   7337:   fprintf(fichtm,"<ul><li><h4>Result files </h4>\n Force of mortality. Parameters of the Gompertz fit (with confidence interval in brackets):<br>");
                   7338:   fprintf(fichtm,"  mu(age) =%lf*exp(%lf*(age-%d)) per year<br><br>",p[1],p[2],agegomp);
                   7339:   for (i=1;i<=2;i++) 
                   7340:     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  7341:   fprintf(fichtm,"<br><br><img src=\"graphmort.svg\">");
1.126     brouard  7342:   fprintf(fichtm,"</ul>");
                   7343: 
                   7344: fprintf(fichtm,"<ul><li><h4>Life table</h4>\n <br>");
                   7345: 
                   7346:  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>");
                   7347: 
                   7348:  for (k=agegomp;k<(agemortsup-2);k++) 
                   7349:    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]);
                   7350: 
                   7351:  
                   7352:   fflush(fichtm);
                   7353: }
                   7354: 
                   7355: /******************* Gnuplot file **************/
1.201     brouard  7356: void printinggnuplotmort(char fileresu[], char optionfilefiname[], double ageminpar, double agemaxpar, double fage , char pathc[], double p[]){
1.126     brouard  7357: 
                   7358:   char dirfileres[132],optfileres[132];
1.164     brouard  7359: 
1.126     brouard  7360:   int ng;
                   7361: 
                   7362: 
                   7363:   /*#ifdef windows */
                   7364:   fprintf(ficgp,"cd \"%s\" \n",pathc);
                   7365:     /*#endif */
                   7366: 
                   7367: 
                   7368:   strcpy(dirfileres,optionfilefiname);
                   7369:   strcpy(optfileres,"vpl");
1.199     brouard  7370:   fprintf(ficgp,"set out \"graphmort.svg\"\n "); 
1.126     brouard  7371:   fprintf(ficgp,"set xlabel \"Age\"\n set ylabel \"Force of mortality (per year)\" \n "); 
1.199     brouard  7372:   fprintf(ficgp, "set ter svg size 640, 480\n set log y\n"); 
1.145     brouard  7373:   /* fprintf(ficgp, "set size 0.65,0.65\n"); */
1.126     brouard  7374:   fprintf(ficgp,"plot [%d:100] %lf*exp(%lf*(x-%d))",agegomp,p[1],p[2],agegomp);
                   7375: 
                   7376: } 
                   7377: 
1.136     brouard  7378: int readdata(char datafile[], int firstobs, int lastobs, int *imax)
                   7379: {
1.126     brouard  7380: 
1.136     brouard  7381:   /*-------- data file ----------*/
                   7382:   FILE *fic;
                   7383:   char dummy[]="                         ";
1.223     brouard  7384:   int i=0, j=0, n=0, iv=0;
                   7385:   int lstra;
1.136     brouard  7386:   int linei, month, year,iout;
                   7387:   char line[MAXLINE], linetmp[MAXLINE];
1.164     brouard  7388:   char stra[MAXLINE], strb[MAXLINE];
1.136     brouard  7389:   char *stratrunc;
1.223     brouard  7390: 
1.126     brouard  7391: 
                   7392: 
1.136     brouard  7393:   if((fic=fopen(datafile,"r"))==NULL)    {
1.218     brouard  7394:     printf("Problem while opening datafile: %s with errno='%s'\n", datafile,strerror(errno));fflush(stdout);
                   7395:     fprintf(ficlog,"Problem while opening datafile: %s with errno='%s'\n", datafile,strerror(errno));fflush(ficlog);return 1;
1.136     brouard  7396:   }
1.126     brouard  7397: 
1.136     brouard  7398:   i=1;
                   7399:   linei=0;
                   7400:   while ((fgets(line, MAXLINE, fic) != NULL) &&((i >= firstobs) && (i <=lastobs))) {
                   7401:     linei=linei+1;
                   7402:     for(j=strlen(line); j>=0;j--){  /* Untabifies line */
                   7403:       if(line[j] == '\t')
                   7404:        line[j] = ' ';
                   7405:     }
                   7406:     for(j=strlen(line)-1; (line[j]==' ')||(line[j]==10)||(line[j]==13);j--){
                   7407:       ;
                   7408:     };
                   7409:     line[j+1]=0;  /* Trims blanks at end of line */
                   7410:     if(line[0]=='#'){
                   7411:       fprintf(ficlog,"Comment line\n%s\n",line);
                   7412:       printf("Comment line\n%s\n",line);
                   7413:       continue;
                   7414:     }
                   7415:     trimbb(linetmp,line); /* Trims multiple blanks in line */
1.164     brouard  7416:     strcpy(line, linetmp);
1.223     brouard  7417:     
                   7418:     /* Loops on waves */
                   7419:     for (j=maxwav;j>=1;j--){
                   7420:       for (iv=nqtv;iv>=1;iv--){  /* Loop  on time varying quantitative variables */
1.225   ! brouard  7421:        cutv(stra, strb, line, ' '); 
        !          7422:        if(strb[0]=='.') { /* Missing value */
        !          7423:          lval=-1;
        !          7424:          cotqvar[j][iv][i]=-1; /* 0.0/0.0 */
        !          7425:          if(isalpha(strb[1])) { /* .m or .d Really Missing value */
        !          7426:            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);
        !          7427:            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);
        !          7428:            return 1;
        !          7429:          }
        !          7430:        }else{
        !          7431:          errno=0;
        !          7432:          /* what_kind_of_number(strb); */
        !          7433:          dval=strtod(strb,&endptr); 
        !          7434:          /* if( strb[0]=='\0' || (*endptr != '\0')){ */
        !          7435:          /* if(strb != endptr && *endptr == '\0') */
        !          7436:          /*    dval=dlval; */
        !          7437:          /* if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN)) */
        !          7438:          if( strb[0]=='\0' || (*endptr != '\0')){
        !          7439:            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);
        !          7440:            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);
        !          7441:            return 1;
        !          7442:          }
        !          7443:          cotqvar[j][iv][i]=dval; 
        !          7444:        }
        !          7445:        strcpy(line,stra);
1.223     brouard  7446:       }/* end loop ntqv */
1.225   ! brouard  7447:       
1.223     brouard  7448:       for (iv=ntv;iv>=1;iv--){  /* Loop  on time varying dummies */
1.225   ! brouard  7449:        cutv(stra, strb, line, ' '); 
        !          7450:        if(strb[0]=='.') { /* Missing value */
        !          7451:          lval=-1;
        !          7452:        }else{
        !          7453:          errno=0;
        !          7454:          lval=strtol(strb,&endptr,10); 
        !          7455:          /*    if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN))*/
        !          7456:          if( strb[0]=='\0' || (*endptr != '\0')){
        !          7457:            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);
        !          7458:            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);
        !          7459:            return 1;
        !          7460:          }
        !          7461:        }
        !          7462:        if(lval <-1 || lval >1){
        !          7463:          printf("Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
1.223     brouard  7464:  Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
                   7465:  for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
1.225   ! brouard  7466:  For example, for multinomial values like 1, 2 and 3,\n                        \
        !          7467:  build V1=0 V2=0 for the reference value (1),\n                                \
        !          7468:         V1=1 V2=0 for (2) \n                                           \
1.223     brouard  7469:  and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
1.225   ! brouard  7470:  output of IMaCh is often meaningless.\n                               \
1.223     brouard  7471:  Exiting.\n",lval,linei, i,line,j);
1.225   ! brouard  7472:          fprintf(ficlog,"Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
1.223     brouard  7473:  Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
                   7474:  for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
1.225   ! brouard  7475:  For example, for multinomial values like 1, 2 and 3,\n                        \
        !          7476:  build V1=0 V2=0 for the reference value (1),\n                                \
        !          7477:         V1=1 V2=0 for (2) \n                                           \
1.223     brouard  7478:  and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
                   7479:  output of IMaCh is often meaningless.\n                               \
                   7480:  Exiting.\n",lval,linei, i,line,j);fflush(ficlog);
1.225   ! brouard  7481:          return 1;
        !          7482:        }
        !          7483:        cotvar[j][iv][i]=(double)(lval);
        !          7484:        strcpy(line,stra);
1.223     brouard  7485:       }/* end loop ntv */
1.225   ! brouard  7486:       
1.223     brouard  7487:       /* Statuses  at wave */
1.137     brouard  7488:       cutv(stra, strb, line, ' '); 
1.223     brouard  7489:       if(strb[0]=='.') { /* Missing value */
1.225   ! brouard  7490:        lval=-1;
1.136     brouard  7491:       }else{
1.225   ! brouard  7492:        errno=0;
        !          7493:        lval=strtol(strb,&endptr,10); 
        !          7494:        /*      if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN))*/
        !          7495:        if( strb[0]=='\0' || (*endptr != '\0')){
        !          7496:          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);
        !          7497:          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);
        !          7498:          return 1;
        !          7499:        }
1.136     brouard  7500:       }
1.225   ! brouard  7501:       
1.136     brouard  7502:       s[j][i]=lval;
1.225   ! brouard  7503:       
1.223     brouard  7504:       /* Date of Interview */
1.136     brouard  7505:       strcpy(line,stra);
                   7506:       cutv(stra, strb,line,' ');
1.169     brouard  7507:       if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
1.136     brouard  7508:       }
1.169     brouard  7509:       else  if( (iout=sscanf(strb,"%s.",dummy)) != 0){
1.225   ! brouard  7510:        month=99;
        !          7511:        year=9999;
1.136     brouard  7512:       }else{
1.225   ! brouard  7513:        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);
        !          7514:        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);
        !          7515:        return 1;
1.136     brouard  7516:       }
                   7517:       anint[j][i]= (double) year; 
                   7518:       mint[j][i]= (double)month; 
                   7519:       strcpy(line,stra);
1.223     brouard  7520:     } /* End loop on waves */
1.225   ! brouard  7521:     
1.223     brouard  7522:     /* Date of death */
1.136     brouard  7523:     cutv(stra, strb,line,' '); 
1.169     brouard  7524:     if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
1.136     brouard  7525:     }
1.169     brouard  7526:     else  if( (iout=sscanf(strb,"%s.",dummy)) != 0){
1.136     brouard  7527:       month=99;
                   7528:       year=9999;
                   7529:     }else{
1.141     brouard  7530:       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  7531:       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);
        !          7532:       return 1;
1.136     brouard  7533:     }
                   7534:     andc[i]=(double) year; 
                   7535:     moisdc[i]=(double) month; 
                   7536:     strcpy(line,stra);
                   7537:     
1.223     brouard  7538:     /* Date of birth */
1.136     brouard  7539:     cutv(stra, strb,line,' '); 
1.169     brouard  7540:     if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
1.136     brouard  7541:     }
1.169     brouard  7542:     else  if( (iout=sscanf(strb,"%s.", dummy)) != 0){
1.136     brouard  7543:       month=99;
                   7544:       year=9999;
                   7545:     }else{
1.141     brouard  7546:       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);
                   7547:       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  7548:       return 1;
1.136     brouard  7549:     }
                   7550:     if (year==9999) {
1.141     brouard  7551:       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);
                   7552:       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  7553:       return 1;
        !          7554:       
1.136     brouard  7555:     }
                   7556:     annais[i]=(double)(year);
                   7557:     moisnais[i]=(double)(month); 
                   7558:     strcpy(line,stra);
1.225   ! brouard  7559:     
1.223     brouard  7560:     /* Sample weight */
1.136     brouard  7561:     cutv(stra, strb,line,' '); 
                   7562:     errno=0;
                   7563:     dval=strtod(strb,&endptr); 
                   7564:     if( strb[0]=='\0' || (*endptr != '\0')){
1.141     brouard  7565:       printf("Error reading data around '%f' at line number %d, \"%s\" for individual %d\nShould be a weight.  Exiting.\n",dval, i,line,linei);
                   7566:       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  7567:       fflush(ficlog);
                   7568:       return 1;
                   7569:     }
                   7570:     weight[i]=dval; 
                   7571:     strcpy(line,stra);
1.225   ! brouard  7572:     
1.223     brouard  7573:     for (iv=nqv;iv>=1;iv--){  /* Loop  on fixed quantitative variables */
                   7574:       cutv(stra, strb, line, ' '); 
                   7575:       if(strb[0]=='.') { /* Missing value */
1.225   ! brouard  7576:        lval=-1;
1.223     brouard  7577:       }else{
1.225   ! brouard  7578:        errno=0;
        !          7579:        /* what_kind_of_number(strb); */
        !          7580:        dval=strtod(strb,&endptr);
        !          7581:        /* if(strb != endptr && *endptr == '\0') */
        !          7582:        /*   dval=dlval; */
        !          7583:        /* if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN)) */
        !          7584:        if( strb[0]=='\0' || (*endptr != '\0')){
        !          7585:          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);
        !          7586:          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);
        !          7587:          return 1;
        !          7588:        }
        !          7589:        coqvar[iv][i]=dval; 
1.223     brouard  7590:       }
                   7591:       strcpy(line,stra);
                   7592:     }/* end loop nqv */
1.136     brouard  7593:     
1.223     brouard  7594:     /* Covariate values */
1.136     brouard  7595:     for (j=ncovcol;j>=1;j--){
                   7596:       cutv(stra, strb,line,' '); 
1.223     brouard  7597:       if(strb[0]=='.') { /* Missing covariate value */
1.225   ! brouard  7598:        lval=-1;
1.136     brouard  7599:       }else{
1.225   ! brouard  7600:        errno=0;
        !          7601:        lval=strtol(strb,&endptr,10); 
        !          7602:        if( strb[0]=='\0' || (*endptr != '\0')){
        !          7603:          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);
        !          7604:          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);
        !          7605:          return 1;
        !          7606:        }
1.136     brouard  7607:       }
                   7608:       if(lval <-1 || lval >1){
1.225   ! brouard  7609:        printf("Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
1.136     brouard  7610:  Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
                   7611:  for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
1.225   ! brouard  7612:  For example, for multinomial values like 1, 2 and 3,\n                        \
        !          7613:  build V1=0 V2=0 for the reference value (1),\n                                \
        !          7614:         V1=1 V2=0 for (2) \n                                           \
1.136     brouard  7615:  and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
1.225   ! brouard  7616:  output of IMaCh is often meaningless.\n                               \
1.136     brouard  7617:  Exiting.\n",lval,linei, i,line,j);
1.225   ! brouard  7618:        fprintf(ficlog,"Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
1.136     brouard  7619:  Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
                   7620:  for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
1.225   ! brouard  7621:  For example, for multinomial values like 1, 2 and 3,\n                        \
        !          7622:  build V1=0 V2=0 for the reference value (1),\n                                \
        !          7623:         V1=1 V2=0 for (2) \n                                           \
1.136     brouard  7624:  and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
1.225   ! brouard  7625:  output of IMaCh is often meaningless.\n                               \
1.136     brouard  7626:  Exiting.\n",lval,linei, i,line,j);fflush(ficlog);
1.225   ! brouard  7627:        return 1;
1.136     brouard  7628:       }
                   7629:       covar[j][i]=(double)(lval);
                   7630:       strcpy(line,stra);
                   7631:     }  
                   7632:     lstra=strlen(stra);
1.225   ! brouard  7633:     
1.136     brouard  7634:     if(lstra > 9){ /* More than 2**32 or max of what printf can write with %ld */
                   7635:       stratrunc = &(stra[lstra-9]);
                   7636:       num[i]=atol(stratrunc);
                   7637:     }
                   7638:     else
                   7639:       num[i]=atol(stra);
                   7640:     /*if((s[2][i]==2) && (s[3][i]==-1)&&(s[4][i]==9)){
                   7641:       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;}*/
                   7642:     
                   7643:     i=i+1;
                   7644:   } /* End loop reading  data */
1.225   ! brouard  7645:   
1.136     brouard  7646:   *imax=i-1; /* Number of individuals */
                   7647:   fclose(fic);
1.225   ! brouard  7648:   
1.136     brouard  7649:   return (0);
1.164     brouard  7650:   /* endread: */
1.225   ! brouard  7651:   printf("Exiting readdata: ");
        !          7652:   fclose(fic);
        !          7653:   return (1);
1.223     brouard  7654: }
1.126     brouard  7655: 
1.145     brouard  7656: void removespace(char *str) {
                   7657:   char *p1 = str, *p2 = str;
                   7658:   do
                   7659:     while (*p2 == ' ')
                   7660:       p2++;
1.169     brouard  7661:   while (*p1++ == *p2++);
1.145     brouard  7662: }
                   7663: 
1.224     brouard  7664: int decodemodel ( char model[], int lastobs)
                   7665:  /**< This routine decode the model and returns:
                   7666:        * Model  V1+V2+V3+V8+V7*V8+V5*V6+V8*age+V3*age+age*age
                   7667:        * - nagesqr = 1 if age*age in the model, otherwise 0.
                   7668:        * - cptcovt total number of covariates of the model nbocc(+)+1 = 8 excepting constant and age and age*age
                   7669:        * - cptcovn or number of covariates k of the models excluding age*products =6 and age*age
                   7670:        * - cptcovage number of covariates with age*products =2
                   7671:        * - cptcovs number of simple covariates
                   7672:        * - 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
                   7673:        *     which is a new column after the 9 (ncovcol) variables. 
                   7674:        * - if k is a product Vn*Vm covar[k][i] is filled with correct values for each individual
                   7675:        * - Tprod[l] gives the kth covariates of the product Vn*Vm l=1 to cptcovprod-cptcovage
                   7676:        *    Tprod[1]@2 {5, 6}: position of first product V7*V8 is 5, and second V5*V6 is 6.
                   7677:        * - Tvard[k]  p Tvard[1][1]@4 {7, 8, 5, 6} for V7*V8 and V5*V6 .
                   7678:        */
1.136     brouard  7679: {
1.145     brouard  7680:   int i, j, k, ks;
1.164     brouard  7681:   int  j1, k1, k2;
1.136     brouard  7682:   char modelsav[80];
1.145     brouard  7683:   char stra[80], strb[80], strc[80], strd[80],stre[80];
1.187     brouard  7684:   char *strpt;
1.136     brouard  7685: 
1.145     brouard  7686:   /*removespace(model);*/
1.136     brouard  7687:   if (strlen(model) >1){ /* If there is at least 1 covariate */
1.145     brouard  7688:     j=0, j1=0, k1=0, k2=-1, ks=0, cptcovn=0;
1.137     brouard  7689:     if (strstr(model,"AGE") !=0){
1.192     brouard  7690:       printf("Error. AGE must be in lower case 'age' model=1+age+%s. ",model);
                   7691:       fprintf(ficlog,"Error. AGE must be in lower case model=1+age+%s. ",model);fflush(ficlog);
1.136     brouard  7692:       return 1;
                   7693:     }
1.141     brouard  7694:     if (strstr(model,"v") !=0){
                   7695:       printf("Error. 'v' must be in upper case 'V' model=%s ",model);
                   7696:       fprintf(ficlog,"Error. 'v' must be in upper case model=%s ",model);fflush(ficlog);
                   7697:       return 1;
                   7698:     }
1.187     brouard  7699:     strcpy(modelsav,model); 
                   7700:     if ((strpt=strstr(model,"age*age")) !=0){
                   7701:       printf(" strpt=%s, model=%s\n",strpt, model);
                   7702:       if(strpt != model){
1.225   ! brouard  7703:        printf("Error in model: 'model=%s'; 'age*age' should in first place before other covariates\n \
1.192     brouard  7704:  'model=1+age+age*age+V1.' or 'model=1+age+age*age+V1+V1*age.', please swap as well as \n \
1.187     brouard  7705:  corresponding column of parameters.\n",model);
1.225   ! brouard  7706:        fprintf(ficlog,"Error in model: 'model=%s'; 'age*age' should in first place before other covariates\n \
1.192     brouard  7707:  'model=1+age+age*age+V1.' or 'model=1+age+age*age+V1+V1*age.', please swap as well as \n \
1.187     brouard  7708:  corresponding column of parameters.\n",model); fflush(ficlog);
1.225   ! brouard  7709:        return 1;
        !          7710:       }
1.187     brouard  7711:       nagesqr=1;
                   7712:       if (strstr(model,"+age*age") !=0)
1.225   ! brouard  7713:        substrchaine(modelsav, model, "+age*age");
1.187     brouard  7714:       else if (strstr(model,"age*age+") !=0)
1.225   ! brouard  7715:        substrchaine(modelsav, model, "age*age+");
1.187     brouard  7716:       else 
1.225   ! brouard  7717:        substrchaine(modelsav, model, "age*age");
1.187     brouard  7718:     }else
                   7719:       nagesqr=0;
                   7720:     if (strlen(modelsav) >1){
                   7721:       j=nbocc(modelsav,'+'); /**< j=Number of '+' */
                   7722:       j1=nbocc(modelsav,'*'); /**< j1=Number of '*' */
1.224     brouard  7723:       cptcovs=j+1-j1; /**<  Number of simple covariates V1+V1*age+V3 +V3*V4+age*age=> V1 + V3 =5-3=2  */
1.187     brouard  7724:       cptcovt= j+1; /* Number of total covariates in the model, not including
1.225   ! brouard  7725:                     * cst, age and age*age 
        !          7726:                     * V1+V1*age+ V3 + V3*V4+age*age=> 3+1=4*/
        !          7727:       /* including age products which are counted in cptcovage.
        !          7728:        * but the covariates which are products must be treated 
        !          7729:        * separately: ncovn=4- 2=2 (V1+V3). */
1.187     brouard  7730:       cptcovprod=j1; /**< Number of products  V1*V2 +v3*age = 2 */
                   7731:       cptcovprodnoage=0; /**< Number of covariate products without age: V3*V4 =1  */
1.225   ! brouard  7732:       
        !          7733:       
1.187     brouard  7734:       /*   Design
                   7735:        *  V1   V2   V3   V4  V5  V6  V7  V8  V9 Weight
                   7736:        *  <          ncovcol=8                >
                   7737:        * Model V2 + V1 + V3*age + V3 + V5*V6 + V7*V8 + V8*age + V8
                   7738:        *   k=  1    2      3       4     5       6      7        8
                   7739:        *  cptcovn number of covariates (not including constant and age ) = # of + plus 1 = 7+1=8
                   7740:        *  covar[k,i], value of kth covariate if not including age for individual i:
1.224     brouard  7741:        *       covar[1][i]= (V1), covar[4][i]=(V4), covar[8][i]=(V8)
                   7742:        *  Tvar[k] # of the kth covariate:  Tvar[1]=2  Tvar[2]=1 Tvar[4]=3 Tvar[8]=8
1.187     brouard  7743:        *       if multiplied by age: V3*age Tvar[3=V3*age]=3 (V3) Tvar[7]=8 and 
                   7744:        *  Tage[++cptcovage]=k
                   7745:        *       if products, new covar are created after ncovcol with k1
                   7746:        *  Tvar[k]=ncovcol+k1; # of the kth covariate product:  Tvar[5]=ncovcol+1=10  Tvar[6]=ncovcol+1=11
                   7747:        *  Tprod[k1]=k; Tprod[1]=5 Tprod[2]= 6; gives the position of the k1th product
                   7748:        *  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
                   7749:        *  Tvar[cptcovn+k2]=Tvard[k1][1];Tvar[cptcovn+k2+1]=Tvard[k1][2];
                   7750:        *  Tvar[8+1]=5;Tvar[8+2]=6;Tvar[8+3]=7;Tvar[8+4]=8 inverted
                   7751:        *  V1   V2   V3   V4  V5  V6  V7  V8  V9  V10  V11
                   7752:        *  <          ncovcol=8                >
                   7753:        *       Model V2 + V1 + V3*age + V3 + V5*V6 + V7*V8 + V8*age + V8    d1   d1   d2  d2
                   7754:        *          k=  1    2      3       4     5       6      7        8    9   10   11  12
                   7755:        *     Tvar[k]= 2    1      3       3    10      11      8        8    5    6    7   8
                   7756:        * p Tvar[1]@12={2,   1,     3,      3,   11,     10,     8,       8,   7,   8,   5,  6}
                   7757:        * p Tprod[1]@2={                         6, 5}
                   7758:        *p Tvard[1][1]@4= {7, 8, 5, 6}
                   7759:        * covar[k][i]= V2   V1      ?      V3    V5*V6?   V7*V8?  ?       V8   
                   7760:        *  cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
                   7761:        *How to reorganize?
                   7762:        * Model V1 + V2 + V3 + V8 + V5*V6 + V7*V8 + V3*age + V8*age
                   7763:        * Tvars {2,   1,     3,      3,   11,     10,     8,       8,   7,   8,   5,  6}
                   7764:        *       {2,   1,     4,      8,    5,      6,     3,       7}
                   7765:        * Struct []
                   7766:        */
1.225   ! brouard  7767:       
1.187     brouard  7768:       /* This loop fills the array Tvar from the string 'model'.*/
                   7769:       /* j is the number of + signs in the model V1+V2+V3 j=2 i=3 to 1 */
                   7770:       /*   modelsav=V2+V1+V4+age*V3 strb=age*V3 stra=V2+V1+V4  */
                   7771:       /*       k=4 (age*V3) Tvar[k=4]= 3 (from V3) Tage[cptcovage=1]=4 */
                   7772:       /*       k=3 V4 Tvar[k=3]= 4 (from V4) */
                   7773:       /*       k=2 V1 Tvar[k=2]= 1 (from V1) */
                   7774:       /*       k=1 Tvar[1]=2 (from V2) */
                   7775:       /*       k=5 Tvar[5] */
                   7776:       /* for (k=1; k<=cptcovn;k++) { */
1.198     brouard  7777:       /*       cov[2+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
1.187     brouard  7778:       /*       } */
1.198     brouard  7779:       /* for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,Tvar[Tage[k])]]*cov[2]; */
1.187     brouard  7780:       /*
                   7781:        * Treating invertedly V2+V1+V3*age+V2*V4 is as if written V2*V4 +V3*age + V1 + V2 */
1.225   ! brouard  7782:       for(k=cptcovt; k>=1;k--) /**< Number of covariates not including constant and age, neither age*age*/
1.145     brouard  7783:         Tvar[k]=0;
1.187     brouard  7784:       cptcovage=0;
                   7785:       for(k=1; k<=cptcovt;k++){ /* Loop on total covariates of the model */
1.225   ! brouard  7786:        cutl(stra,strb,modelsav,'+'); /* keeps in strb after the first '+' 
        !          7787:                                         modelsav==V2+V1+V4+V3*age strb=V3*age stra=V2+V1+V4 */ 
        !          7788:        if (nbocc(modelsav,'+')==0) strcpy(strb,modelsav); /* and analyzes it */
        !          7789:        /*      printf("i=%d a=%s b=%s sav=%s\n",i, stra,strb,modelsav);*/
        !          7790:        /*scanf("%d",i);*/
        !          7791:        if (strchr(strb,'*')) {  /**< Model includes a product V2+V1+V4+V3*age strb=V3*age */
        !          7792:          cutl(strc,strd,strb,'*'); /**< strd*strc  Vm*Vn: strb=V3*age(input) strc=age strd=V3 ; V3*V2 strc=V2, strd=V3 */
        !          7793:          if (strcmp(strc,"age")==0) { /**< Model includes age: Vn*age */
        !          7794:            /* covar is not filled and then is empty */
        !          7795:            cptcovprod--;
        !          7796:            cutl(stre,strb,strd,'V'); /* strd=V3(input): stre="3" */
        !          7797:            Tvar[k]=atoi(stre);  /* V2+V1+V4+V3*age Tvar[4]=3 ; V1+V2*age Tvar[2]=2; V1+V1*age Tvar[2]=1 */
        !          7798:            Typevar[k]=1;  /* 2 for age product */
        !          7799:            cptcovage++; /* Sums the number of covariates which include age as a product */
        !          7800:            Tage[cptcovage]=k;  /* Tvar[4]=3, Tage[1] = 4 or V1+V1*age Tvar[2]=1, Tage[1]=2 */
        !          7801:            /*printf("stre=%s ", stre);*/
        !          7802:          } else if (strcmp(strd,"age")==0) { /* or age*Vn */
        !          7803:            cptcovprod--;
        !          7804:            cutl(stre,strb,strc,'V');
        !          7805:            Tvar[k]=atoi(stre);
        !          7806:            Typevar[k]=1;  /* 1 for age product */
        !          7807:            cptcovage++;
        !          7808:            Tage[cptcovage]=k;
        !          7809:          } else {  /* Age is not in the model product V2+V1+V1*V4+V3*age+V3*V2  strb=V3*V2*/
        !          7810:            /* loops on k1=1 (V3*V2) and k1=2 V4*V3 */
        !          7811:            cptcovn++;
        !          7812:            cptcovprodnoage++;k1++;
        !          7813:            cutl(stre,strb,strc,'V'); /* strc= Vn, stre is n; strb=V3*V2 stre=3 strc=*/
        !          7814:            Tvar[k]=ncovcol+nqv+ntv+nqtv+k1; /* For model-covariate k tells which data-covariate to use but
        !          7815:                                   because this model-covariate is a construction we invent a new column
        !          7816:                                   which is after existing variables ncovcol+nqv+ntv+nqtv + k1
        !          7817:                                   If already ncovcol=4 and model=V2+V1+V1*V4+age*V3+V3*V2
        !          7818:                                   Tvar[3=V1*V4]=4+1 Tvar[5=V3*V2]=4 + 2= 6, etc */
        !          7819:            Typevar[k]=2;  /* 2 for double fixed dummy covariates */
        !          7820:            cutl(strc,strb,strd,'V'); /* strd was Vm, strc is m */
        !          7821:            Tprod[k1]=k;  /* Tprod[1]=3(=V1*V4) for V2+V1+V1*V4+age*V3+V3*V2  */
        !          7822:            Tvard[k1][1] =atoi(strc); /* m 1 for V1*/
        !          7823:            Tvard[k1][2] =atoi(stre); /* n 4 for V4*/
        !          7824:            k2=k2+2;  /* k2 is initialize to -1, We want to store the n and m in Vn*Vm at the end of Tvar */
        !          7825:            /* Tvar[cptcovt+k2]=Tvard[k1][1]; /\* Tvar[(cptcovt=4+k2=1)=5]= 1 (V1) *\/ */
        !          7826:            /* Tvar[cptcovt+k2+1]=Tvard[k1][2];  /\* Tvar[(cptcovt=4+(k2=1)+1)=6]= 4 (V4) *\/ */
        !          7827:             /*ncovcol=4 and model=V2+V1+V1*V4+age*V3+V3*V2, Tvar[3]=5, Tvar[4]=6, cptcovt=5 */
        !          7828:            /*                     1  2   3      4     5 | Tvar[5+1)=1, Tvar[7]=2   */
        !          7829:            for (i=1; i<=lastobs;i++){
        !          7830:              /* Computes the new covariate which is a product of
        !          7831:                 covar[n][i]* covar[m][i] and stores it at ncovol+k1 May not be defined */
        !          7832:              covar[ncovcol+k1][i]=covar[atoi(stre)][i]*covar[atoi(strc)][i];
        !          7833:            }
        !          7834:          } /* End age is not in the model */
        !          7835:        } /* End if model includes a product */
        !          7836:        else { /* no more sum */
        !          7837:          /*printf("d=%s c=%s b=%s\n", strd,strc,strb);*/
        !          7838:          /*  scanf("%d",i);*/
        !          7839:          cutl(strd,strc,strb,'V');
        !          7840:          ks++; /**< Number of simple covariates*/
        !          7841:          cptcovn++; /** V4+V3+V5: V4 and V3 timevarying dummy covariates, V5 timevarying quantitative */
        !          7842:          Tvar[k]=atoi(strd);
        !          7843:          Typevar[k]=0;  /* 0 for simple covariates */
        !          7844:        }
        !          7845:        strcpy(modelsav,stra);  /* modelsav=V2+V1+V4 stra=V2+V1+V4 */ 
1.223     brouard  7846:                                /*printf("a=%s b=%s sav=%s\n", stra,strb,modelsav);
1.225   ! brouard  7847:                                  scanf("%d",i);*/
1.187     brouard  7848:       } /* end of loop + on total covariates */
                   7849:     } /* end if strlen(modelsave == 0) age*age might exist */
                   7850:   } /* end if strlen(model == 0) */
1.136     brouard  7851:   
                   7852:   /*The number n of Vn is stored in Tvar. cptcovage =number of age covariate. Tage gives the position of age. cptcovprod= number of products.
                   7853:     If model=V1+V1*age then Tvar[1]=1 Tvar[2]=1 cptcovage=1 Tage[1]=2 cptcovprod=0*/
1.225   ! brouard  7854:   
1.136     brouard  7855:   /* printf("tvar1=%d tvar2=%d tvar3=%d cptcovage=%d Tage=%d",Tvar[1],Tvar[2],Tvar[3],cptcovage,Tage[1]);
1.225   ! brouard  7856:      printf("cptcovprod=%d ", cptcovprod);
        !          7857:      fprintf(ficlog,"cptcovprod=%d ", cptcovprod);
        !          7858:      scanf("%d ",i);*/
        !          7859: 
        !          7860: 
        !          7861: /* Decodemodel knows only the grammar (simple, product, age*) of the model but not what kind
        !          7862:    of variable (dummy vs quantitative, fixed vs time varying) is behind */
        !          7863: /* ncovcol= 1, nqv=1, ntv=2, nqtv= 1  = 5 possible variables data
        !          7864:    model=  V2 + V4 +V3 + V4*V3 + V5*age + V5 , V1 is not used saving its place
        !          7865:    k =      1    2   3     4       5       6
        !          7866:    Tvar[k]= 2    4   3 1+1+2+1+1=6 5       5
        !          7867:    Typevar[k]=0  0   0     2       1       0
        !          7868: */  
        !          7869: /* Dispatching between quantitative and time varying covariates */
        !          7870:   /* Tvar[k] is the value n of Vn with n varying for 1 to nvcol, or p  Vp=Vn*Vm for product */
        !          7871:   for(k=1, ncoveff=0, nqfveff=0, ntveff=0, nqtveff=0;k<=cptcovt; k++){ /* or cptocvt */
        !          7872:     if (Tvar[k] <=ncovcol){ /* Simple fixed dummy covariatee */
        !          7873:       ncoveff++;
        !          7874:     }else if( Tvar[k] <=ncovcol+nqv && Typevar[k]==0){ /* Remind that product Vn*Vm are added in k*/
        !          7875:       nqfveff++;  /* Only simple fixed quantitative variable */
        !          7876:     }else if( Tvar[k] <=ncovcol+nqv+ntv && Typevar[k]==0){
        !          7877:       ntveff++; /* Only simple time varying dummy variable */
        !          7878:     }else if( Tvar[k] <=ncovcol+nqv+ntv+nqtv && Typevar[k]==0){
        !          7879:       nqtveff++;/* Only simple time varying quantitative variable */
        !          7880:     }else{
        !          7881:       printf("Other types in effective covariates \n");
        !          7882:     }
        !          7883:   }
        !          7884:   
        !          7885:   printf("ncoveff=%d, nqfveff=%d, ntveff=%d, nqtveff=%d, cptcovn=%d\n",ncoveff,nqfveff,ntveff,nqtveff,cptcovn);
        !          7886:   fprintf(ficlog,"ncoveff=%d, nqfveff=%d, ntveff=%d, nqtveff=%d, cptcovn=%d\n",ncoveff,nqfveff,ntveff,nqtveff,cptcovn);
1.137     brouard  7887:   return (0); /* with covar[new additional covariate if product] and Tage if age */ 
1.164     brouard  7888:   /*endread:*/
1.225   ! brouard  7889:   printf("Exiting decodemodel: ");
        !          7890:   return (1);
1.136     brouard  7891: }
                   7892: 
1.169     brouard  7893: int calandcheckages(int imx, int maxwav, double *agemin, double *agemax, int *nberr, int *nbwarn )
1.136     brouard  7894: {
                   7895:   int i, m;
1.218     brouard  7896:   int firstone=0;
                   7897:   
1.136     brouard  7898:   for (i=1; i<=imx; i++) {
                   7899:     for(m=2; (m<= maxwav); m++) {
                   7900:       if (((int)mint[m][i]== 99) && (s[m][i] <= nlstate)){
                   7901:        anint[m][i]=9999;
1.216     brouard  7902:        if (s[m][i] != -2) /* Keeping initial status of unknown vital status */
                   7903:          s[m][i]=-1;
1.136     brouard  7904:       }
                   7905:       if((int)moisdc[i]==99 && (int)andc[i]==9999 && s[m][i]>nlstate){
1.169     brouard  7906:        *nberr = *nberr + 1;
1.218     brouard  7907:        if(firstone == 0){
                   7908:          firstone=1;
                   7909:        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);
                   7910:        }
                   7911:        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  7912:        s[m][i]=-1;
                   7913:       }
                   7914:       if((int)moisdc[i]==99 && (int)andc[i]!=9999 && s[m][i]>nlstate){
1.169     brouard  7915:        (*nberr)++;
1.136     brouard  7916:        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]); 
                   7917:        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]); 
                   7918:        s[m][i]=-1; /* We prefer to skip it (and to skip it in version 0.8a1 too */
                   7919:       }
                   7920:     }
                   7921:   }
                   7922: 
                   7923:   for (i=1; i<=imx; i++)  {
                   7924:     agedc[i]=(moisdc[i]/12.+andc[i])-(moisnais[i]/12.+annais[i]);
                   7925:     for(m=firstpass; (m<= lastpass); m++){
1.214     brouard  7926:       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  7927:        if (s[m][i] >= nlstate+1) {
1.169     brouard  7928:          if(agedc[i]>0){
                   7929:            if((int)moisdc[i]!=99 && (int)andc[i]!=9999){
1.136     brouard  7930:              agev[m][i]=agedc[i];
1.214     brouard  7931:              /*if(moisdc[i]==99 && andc[i]==9999) s[m][i]=-1;*/
1.169     brouard  7932:            }else {
1.136     brouard  7933:              if ((int)andc[i]!=9999){
                   7934:                nbwarn++;
                   7935:                printf("Warning negative age at death: %ld line:%d\n",num[i],i);
                   7936:                fprintf(ficlog,"Warning negative age at death: %ld line:%d\n",num[i],i);
                   7937:                agev[m][i]=-1;
                   7938:              }
                   7939:            }
1.169     brouard  7940:          } /* agedc > 0 */
1.214     brouard  7941:        } /* end if */
1.136     brouard  7942:        else if(s[m][i] !=9){ /* Standard case, age in fractional
                   7943:                                 years but with the precision of a month */
                   7944:          agev[m][i]=(mint[m][i]/12.+1./24.+anint[m][i])-(moisnais[i]/12.+1./24.+annais[i]);
                   7945:          if((int)mint[m][i]==99 || (int)anint[m][i]==9999)
                   7946:            agev[m][i]=1;
                   7947:          else if(agev[m][i] < *agemin){ 
                   7948:            *agemin=agev[m][i];
                   7949:            printf(" Min anint[%d][%d]=%.2f annais[%d]=%.2f, agemin=%.2f\n",m,i,anint[m][i], i,annais[i], *agemin);
                   7950:          }
                   7951:          else if(agev[m][i] >*agemax){
                   7952:            *agemax=agev[m][i];
1.156     brouard  7953:            /* printf(" Max anint[%d][%d]=%.0f annais[%d]=%.0f, agemax=%.2f\n",m,i,anint[m][i], i,annais[i], *agemax);*/
1.136     brouard  7954:          }
                   7955:          /*agev[m][i]=anint[m][i]-annais[i];*/
                   7956:          /*     agev[m][i] = age[i]+2*m;*/
1.214     brouard  7957:        } /* en if 9*/
1.136     brouard  7958:        else { /* =9 */
1.214     brouard  7959:          /* printf("Debug num[%d]=%ld s[%d][%d]=%d\n",i,num[i], m,i, s[m][i]); */
1.136     brouard  7960:          agev[m][i]=1;
                   7961:          s[m][i]=-1;
                   7962:        }
                   7963:       }
1.214     brouard  7964:       else if(s[m][i]==0) /*= 0 Unknown */
1.136     brouard  7965:        agev[m][i]=1;
1.214     brouard  7966:       else{
                   7967:        printf("Warning, num[%d]=%ld, s[%d][%d]=%d\n", i, num[i], m, i,s[m][i]); 
                   7968:        fprintf(ficlog, "Warning, num[%d]=%ld, s[%d][%d]=%d\n", i, num[i], m, i,s[m][i]); 
                   7969:        agev[m][i]=0;
                   7970:       }
                   7971:     } /* End for lastpass */
                   7972:   }
1.136     brouard  7973:     
                   7974:   for (i=1; i<=imx; i++)  {
                   7975:     for(m=firstpass; (m<=lastpass); m++){
                   7976:       if (s[m][i] > (nlstate+ndeath)) {
1.169     brouard  7977:        (*nberr)++;
1.136     brouard  7978:        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);     
                   7979:        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);     
                   7980:        return 1;
                   7981:       }
                   7982:     }
                   7983:   }
                   7984: 
                   7985:   /*for (i=1; i<=imx; i++){
                   7986:   for (m=firstpass; (m<lastpass); m++){
                   7987:      printf("%ld %d %.lf %d %d\n", num[i],(covar[1][i]),agev[m][i],s[m][i],s[m+1][i]);
                   7988: }
                   7989: 
                   7990: }*/
                   7991: 
                   7992: 
1.139     brouard  7993:   printf("Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, *agemin, *agemax);
                   7994:   fprintf(ficlog,"Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, *agemin, *agemax); 
1.136     brouard  7995: 
                   7996:   return (0);
1.164     brouard  7997:  /* endread:*/
1.136     brouard  7998:     printf("Exiting calandcheckages: ");
                   7999:     return (1);
                   8000: }
                   8001: 
1.172     brouard  8002: #if defined(_MSC_VER)
                   8003: /*printf("Visual C++ compiler: %s \n;", _MSC_FULL_VER);*/
                   8004: /*fprintf(ficlog, "Visual C++ compiler: %s \n;", _MSC_FULL_VER);*/
                   8005: //#include "stdafx.h"
                   8006: //#include <stdio.h>
                   8007: //#include <tchar.h>
                   8008: //#include <windows.h>
                   8009: //#include <iostream>
                   8010: typedef BOOL(WINAPI *LPFN_ISWOW64PROCESS) (HANDLE, PBOOL);
                   8011: 
                   8012: LPFN_ISWOW64PROCESS fnIsWow64Process;
                   8013: 
                   8014: BOOL IsWow64()
                   8015: {
                   8016:        BOOL bIsWow64 = FALSE;
                   8017: 
                   8018:        //typedef BOOL (APIENTRY *LPFN_ISWOW64PROCESS)
                   8019:        //  (HANDLE, PBOOL);
                   8020: 
                   8021:        //LPFN_ISWOW64PROCESS fnIsWow64Process;
                   8022: 
                   8023:        HMODULE module = GetModuleHandle(_T("kernel32"));
                   8024:        const char funcName[] = "IsWow64Process";
                   8025:        fnIsWow64Process = (LPFN_ISWOW64PROCESS)
                   8026:                GetProcAddress(module, funcName);
                   8027: 
                   8028:        if (NULL != fnIsWow64Process)
                   8029:        {
                   8030:                if (!fnIsWow64Process(GetCurrentProcess(),
                   8031:                        &bIsWow64))
                   8032:                        //throw std::exception("Unknown error");
                   8033:                        printf("Unknown error\n");
                   8034:        }
                   8035:        return bIsWow64 != FALSE;
                   8036: }
                   8037: #endif
1.177     brouard  8038: 
1.191     brouard  8039: void syscompilerinfo(int logged)
1.167     brouard  8040:  {
                   8041:    /* #include "syscompilerinfo.h"*/
1.185     brouard  8042:    /* command line Intel compiler 32bit windows, XP compatible:*/
                   8043:    /* /GS /W3 /Gy
                   8044:       /Zc:wchar_t /Zi /O2 /Fd"Release\vc120.pdb" /D "WIN32" /D "NDEBUG" /D
                   8045:       "_CONSOLE" /D "_LIB" /D "_USING_V110_SDK71_" /D "_UNICODE" /D
                   8046:       "UNICODE" /Qipo /Zc:forScope /Gd /Oi /MT /Fa"Release\" /EHsc /nologo
1.186     brouard  8047:       /Fo"Release\" /Qprof-dir "Release\" /Fp"Release\IMaCh.pch"
                   8048:    */ 
                   8049:    /* 64 bits */
1.185     brouard  8050:    /*
                   8051:      /GS /W3 /Gy
                   8052:      /Zc:wchar_t /Zi /O2 /Fd"x64\Release\vc120.pdb" /D "WIN32" /D "NDEBUG"
                   8053:      /D "_CONSOLE" /D "_LIB" /D "_UNICODE" /D "UNICODE" /Qipo /Zc:forScope
                   8054:      /Oi /MD /Fa"x64\Release\" /EHsc /nologo /Fo"x64\Release\" /Qprof-dir
                   8055:      "x64\Release\" /Fp"x64\Release\IMaCh.pch" */
                   8056:    /* Optimization are useless and O3 is slower than O2 */
                   8057:    /*
                   8058:      /GS /W3 /Gy /Zc:wchar_t /Zi /O3 /Fd"x64\Release\vc120.pdb" /D "WIN32" 
                   8059:      /D "NDEBUG" /D "_CONSOLE" /D "_LIB" /D "_UNICODE" /D "UNICODE" /Qipo 
                   8060:      /Zc:forScope /Oi /MD /Fa"x64\Release\" /EHsc /nologo /Qparallel 
                   8061:      /Fo"x64\Release\" /Qprof-dir "x64\Release\" /Fp"x64\Release\IMaCh.pch" 
                   8062:    */
1.186     brouard  8063:    /* Link is */ /* /OUT:"visual studio
1.185     brouard  8064:       2013\Projects\IMaCh\Release\IMaCh.exe" /MANIFEST /NXCOMPAT
                   8065:       /PDB:"visual studio
                   8066:       2013\Projects\IMaCh\Release\IMaCh.pdb" /DYNAMICBASE
                   8067:       "kernel32.lib" "user32.lib" "gdi32.lib" "winspool.lib"
                   8068:       "comdlg32.lib" "advapi32.lib" "shell32.lib" "ole32.lib"
                   8069:       "oleaut32.lib" "uuid.lib" "odbc32.lib" "odbccp32.lib"
                   8070:       /MACHINE:X86 /OPT:REF /SAFESEH /INCREMENTAL:NO
                   8071:       /SUBSYSTEM:CONSOLE",5.01" /MANIFESTUAC:"level='asInvoker'
                   8072:       uiAccess='false'"
                   8073:       /ManifestFile:"Release\IMaCh.exe.intermediate.manifest" /OPT:ICF
                   8074:       /NOLOGO /TLBID:1
                   8075:    */
1.177     brouard  8076: #if defined __INTEL_COMPILER
1.178     brouard  8077: #if defined(__GNUC__)
                   8078:        struct utsname sysInfo;  /* For Intel on Linux and OS/X */
                   8079: #endif
1.177     brouard  8080: #elif defined(__GNUC__) 
1.179     brouard  8081: #ifndef  __APPLE__
1.174     brouard  8082: #include <gnu/libc-version.h>  /* Only on gnu */
1.179     brouard  8083: #endif
1.177     brouard  8084:    struct utsname sysInfo;
1.178     brouard  8085:    int cross = CROSS;
                   8086:    if (cross){
                   8087:           printf("Cross-");
1.191     brouard  8088:           if(logged) fprintf(ficlog, "Cross-");
1.178     brouard  8089:    }
1.174     brouard  8090: #endif
                   8091: 
1.171     brouard  8092: #include <stdint.h>
1.178     brouard  8093: 
1.191     brouard  8094:    printf("Compiled with:");if(logged)fprintf(ficlog,"Compiled with:");
1.169     brouard  8095: #if defined(__clang__)
1.191     brouard  8096:    printf(" Clang/LLVM");if(logged)fprintf(ficlog," Clang/LLVM");      /* Clang/LLVM. ---------------------------------------------- */
1.169     brouard  8097: #endif
                   8098: #if defined(__ICC) || defined(__INTEL_COMPILER)
1.191     brouard  8099:    printf(" Intel ICC/ICPC");if(logged)fprintf(ficlog," Intel ICC/ICPC");/* Intel ICC/ICPC. ------------------------------------------ */
1.169     brouard  8100: #endif
                   8101: #if defined(__GNUC__) || defined(__GNUG__)
1.191     brouard  8102:    printf(" GNU GCC/G++");if(logged)fprintf(ficlog," GNU GCC/G++");/* GNU GCC/G++. --------------------------------------------- */
1.169     brouard  8103: #endif
                   8104: #if defined(__HP_cc) || defined(__HP_aCC)
1.191     brouard  8105:    printf(" Hewlett-Packard C/aC++");if(logged)fprintf(fcilog," Hewlett-Packard C/aC++"); /* Hewlett-Packard C/aC++. ---------------------------------- */
1.169     brouard  8106: #endif
                   8107: #if defined(__IBMC__) || defined(__IBMCPP__)
1.191     brouard  8108:    printf(" IBM XL C/C++"); if(logged) fprintf(ficlog," IBM XL C/C++");/* IBM XL C/C++. -------------------------------------------- */
1.169     brouard  8109: #endif
                   8110: #if defined(_MSC_VER)
1.191     brouard  8111:    printf(" Microsoft Visual Studio");if(logged)fprintf(ficlog," Microsoft Visual Studio");/* Microsoft Visual Studio. --------------------------------- */
1.169     brouard  8112: #endif
                   8113: #if defined(__PGI)
1.191     brouard  8114:    printf(" Portland Group PGCC/PGCPP");if(logged) fprintf(ficlog," Portland Group PGCC/PGCPP");/* Portland Group PGCC/PGCPP. ------------------------------- */
1.169     brouard  8115: #endif
                   8116: #if defined(__SUNPRO_C) || defined(__SUNPRO_CC)
1.191     brouard  8117:    printf(" Oracle Solaris Studio");if(logged)fprintf(ficlog," Oracle Solaris Studio\n");/* Oracle Solaris Studio. ----------------------------------- */
1.167     brouard  8118: #endif
1.191     brouard  8119:    printf(" for "); if (logged) fprintf(ficlog, " for ");
1.169     brouard  8120:    
1.167     brouard  8121: // http://stackoverflow.com/questions/4605842/how-to-identify-platform-compiler-from-preprocessor-macros
                   8122: #ifdef _WIN32 // note the underscore: without it, it's not msdn official!
                   8123:     // Windows (x64 and x86)
1.191     brouard  8124:    printf("Windows (x64 and x86) ");if(logged) fprintf(ficlog,"Windows (x64 and x86) ");
1.167     brouard  8125: #elif __unix__ // all unices, not all compilers
                   8126:     // Unix
1.191     brouard  8127:    printf("Unix ");if(logged) fprintf(ficlog,"Unix ");
1.167     brouard  8128: #elif __linux__
                   8129:     // linux
1.191     brouard  8130:    printf("linux ");if(logged) fprintf(ficlog,"linux ");
1.167     brouard  8131: #elif __APPLE__
1.174     brouard  8132:     // Mac OS, not sure if this is covered by __posix__ and/or __unix__ though..
1.191     brouard  8133:    printf("Mac OS ");if(logged) fprintf(ficlog,"Mac OS ");
1.167     brouard  8134: #endif
                   8135: 
                   8136: /*  __MINGW32__          */
                   8137: /*  __CYGWIN__  */
                   8138: /* __MINGW64__  */
                   8139: // http://msdn.microsoft.com/en-us/library/b0084kay.aspx
                   8140: /* _MSC_VER  //the Visual C++ compiler is 17.00.51106.1, the _MSC_VER macro evaluates to 1700. Type cl /?  */
                   8141: /* _MSC_FULL_VER //the Visual C++ compiler is 15.00.20706.01, the _MSC_FULL_VER macro evaluates to 150020706 */
                   8142: /* _WIN64  // Defined for applications for Win64. */
                   8143: /* _M_X64 // Defined for compilations that target x64 processors. */
                   8144: /* _DEBUG // Defined when you compile with /LDd, /MDd, and /MTd. */
1.171     brouard  8145: 
1.167     brouard  8146: #if UINTPTR_MAX == 0xffffffff
1.191     brouard  8147:    printf(" 32-bit"); if(logged) fprintf(ficlog," 32-bit");/* 32-bit */
1.167     brouard  8148: #elif UINTPTR_MAX == 0xffffffffffffffff
1.191     brouard  8149:    printf(" 64-bit"); if(logged) fprintf(ficlog," 64-bit");/* 64-bit */
1.167     brouard  8150: #else
1.191     brouard  8151:    printf(" wtf-bit"); if(logged) fprintf(ficlog," wtf-bit");/* wtf */
1.167     brouard  8152: #endif
                   8153: 
1.169     brouard  8154: #if defined(__GNUC__)
                   8155: # if defined(__GNUC_PATCHLEVEL__)
                   8156: #  define __GNUC_VERSION__ (__GNUC__ * 10000 \
                   8157:                             + __GNUC_MINOR__ * 100 \
                   8158:                             + __GNUC_PATCHLEVEL__)
                   8159: # else
                   8160: #  define __GNUC_VERSION__ (__GNUC__ * 10000 \
                   8161:                             + __GNUC_MINOR__ * 100)
                   8162: # endif
1.174     brouard  8163:    printf(" using GNU C version %d.\n", __GNUC_VERSION__);
1.191     brouard  8164:    if(logged) fprintf(ficlog, " using GNU C version %d.\n", __GNUC_VERSION__);
1.176     brouard  8165: 
                   8166:    if (uname(&sysInfo) != -1) {
                   8167:      printf("Running on: %s %s %s %s %s\n",sysInfo.sysname, sysInfo.nodename, sysInfo.release, sysInfo.version, sysInfo.machine);
1.191     brouard  8168:         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  8169:    }
                   8170:    else
                   8171:       perror("uname() error");
1.179     brouard  8172:    //#ifndef __INTEL_COMPILER 
                   8173: #if !defined (__INTEL_COMPILER) && !defined(__APPLE__)
1.174     brouard  8174:    printf("GNU libc version: %s\n", gnu_get_libc_version()); 
1.191     brouard  8175:    if(logged) fprintf(ficlog,"GNU libc version: %s\n", gnu_get_libc_version());
1.177     brouard  8176: #endif
1.169     brouard  8177: #endif
1.172     brouard  8178: 
                   8179:    //   void main()
                   8180:    //   {
1.169     brouard  8181: #if defined(_MSC_VER)
1.174     brouard  8182:    if (IsWow64()){
1.191     brouard  8183:           printf("\nThe program (probably compiled for 32bit) is running under WOW64 (64bit) emulation.\n");
                   8184:           if (logged) fprintf(ficlog, "\nThe program (probably compiled for 32bit) is running under WOW64 (64bit) emulation.\n");
1.174     brouard  8185:    }
                   8186:    else{
1.191     brouard  8187:           printf("\nThe program is not running under WOW64 (i.e probably on a 64bit Windows).\n");
                   8188:           if (logged) fprintf(ficlog, "\nThe programm is not running under WOW64 (i.e probably on a 64bit Windows).\n");
1.174     brouard  8189:    }
1.172     brouard  8190:    //     printf("\nPress Enter to continue...");
                   8191:    //     getchar();
                   8192:    //   }
                   8193: 
1.169     brouard  8194: #endif
                   8195:    
1.167     brouard  8196: 
1.219     brouard  8197: }
1.136     brouard  8198: 
1.219     brouard  8199: int prevalence_limit(double *p, double **prlim, double ageminpar, double agemaxpar, double ftolpl, int *ncvyearp){
1.180     brouard  8200:   /*--------------- Prevalence limit  (period or stable prevalence) --------------*/
                   8201:   int i, j, k, i1 ;
1.202     brouard  8202:   /* double ftolpl = 1.e-10; */
1.180     brouard  8203:   double age, agebase, agelim;
1.203     brouard  8204:   double tot;
1.180     brouard  8205: 
1.202     brouard  8206:   strcpy(filerespl,"PL_");
                   8207:   strcat(filerespl,fileresu);
                   8208:   if((ficrespl=fopen(filerespl,"w"))==NULL) {
                   8209:     printf("Problem with period (stable) prevalence resultfile: %s\n", filerespl);return 1;
                   8210:     fprintf(ficlog,"Problem with period (stable) prevalence resultfile: %s\n", filerespl);return 1;
                   8211:   }
                   8212:   printf("Computing period (stable) prevalence: result on file '%s' \n", filerespl);
                   8213:   fprintf(ficlog,"Computing period (stable) prevalence: result on file '%s' \n", filerespl);
                   8214:   pstamp(ficrespl);
1.203     brouard  8215:   fprintf(ficrespl,"# Period (stable) prevalence. Precision given by ftolpl=%g \n", ftolpl);
1.202     brouard  8216:   fprintf(ficrespl,"#Age ");
                   8217:   for(i=1; i<=nlstate;i++) fprintf(ficrespl,"%d-%d ",i,i);
                   8218:   fprintf(ficrespl,"\n");
1.180     brouard  8219:   
1.219     brouard  8220:   /* prlim=matrix(1,nlstate,1,nlstate);*/ /* back in main */
1.180     brouard  8221: 
1.219     brouard  8222:   agebase=ageminpar;
                   8223:   agelim=agemaxpar;
1.180     brouard  8224: 
1.224     brouard  8225:   i1=pow(2,ncoveff);
1.219     brouard  8226:   if (cptcovn < 1){i1=1;}
1.180     brouard  8227: 
1.220     brouard  8228:   for(k=1; k<=i1;k++){
                   8229:   /* for(cptcov=1,k=0;cptcov<=i1;cptcov++){ */
1.180     brouard  8230:     /* for(cptcov=1,k=0;cptcov<=1;cptcov++){ */
1.219     brouard  8231:     //for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){
1.220     brouard  8232:     /* k=k+1; */
1.219     brouard  8233:     /* to clean */
                   8234:     //printf("cptcov=%d cptcod=%d codtab=%d\n",cptcov, cptcod,codtabm(cptcod,cptcov));
                   8235:     fprintf(ficrespl,"#******");
                   8236:     printf("#******");
                   8237:     fprintf(ficlog,"#******");
1.225   ! brouard  8238:     for(j=1;j<=nqfveff;j++) {
1.219     brouard  8239:       fprintf(ficrespl," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8240:       printf(" V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8241:       fprintf(ficlog," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8242:     }
                   8243:     fprintf(ficrespl,"******\n");
                   8244:     printf("******\n");
                   8245:     fprintf(ficlog,"******\n");
1.220     brouard  8246:                if(invalidvarcomb[k]){
                   8247:                                                printf("\nCombination (%d) ignored because no cases \n",k); 
                   8248:                                                fprintf(ficrespl,"#Combination (%d) ignored because no cases \n",k); 
                   8249:                                                fprintf(ficlog,"\nCombination (%d) ignored because no cases \n",k); 
                   8250:                                                continue;
                   8251:                }
1.219     brouard  8252: 
                   8253:     fprintf(ficrespl,"#Age ");
1.225   ! brouard  8254:     for(j=1;j<=nqfveff;j++) {
1.219     brouard  8255:       fprintf(ficrespl,"V%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8256:     }
                   8257:     for(i=1; i<=nlstate;i++) fprintf(ficrespl,"  %d-%d   ",i,i);
                   8258:     fprintf(ficrespl,"Total Years_to_converge\n");
                   8259:        
                   8260:     for (age=agebase; age<=agelim; age++){
                   8261:       /* for (age=agebase; age<=agebase; age++){ */
                   8262:       prevalim(prlim, nlstate, p, age, oldm, savm, ftolpl, ncvyearp, k);
                   8263:       fprintf(ficrespl,"%.0f ",age );
1.225   ! brouard  8264:       for(j=1;j<=nqfveff;j++)
1.220     brouard  8265:                                                        fprintf(ficrespl,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.219     brouard  8266:       tot=0.;
                   8267:       for(i=1; i<=nlstate;i++){
1.220     brouard  8268:                                                        tot +=  prlim[i][i];
                   8269:                                                        fprintf(ficrespl," %.5f", prlim[i][i]);
1.219     brouard  8270:       }
                   8271:       fprintf(ficrespl," %.3f %d\n", tot, *ncvyearp);
                   8272:     } /* Age */
                   8273:     /* was end of cptcod */
                   8274:   } /* cptcov */
                   8275:   return 0;
1.180     brouard  8276: }
                   8277: 
1.218     brouard  8278: 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){
                   8279:        /*--------------- Back Prevalence limit  (period or stable prevalence) --------------*/
                   8280:        
                   8281:        /* Computes the back prevalence limit  for any combination      of covariate values 
                   8282:    * at any age between ageminpar and agemaxpar
                   8283:         */
1.217     brouard  8284:   int i, j, k, i1 ;
                   8285:   /* double ftolpl = 1.e-10; */
                   8286:   double age, agebase, agelim;
                   8287:   double tot;
1.218     brouard  8288:   /* double ***mobaverage; */
                   8289:   /* double     **dnewm, **doldm, **dsavm;  /\* for use *\/ */
1.217     brouard  8290: 
                   8291:   strcpy(fileresplb,"PLB_");
                   8292:   strcat(fileresplb,fileresu);
                   8293:   if((ficresplb=fopen(fileresplb,"w"))==NULL) {
                   8294:     printf("Problem with period (stable) back prevalence resultfile: %s\n", fileresplb);return 1;
                   8295:     fprintf(ficlog,"Problem with period (stable) back prevalence resultfile: %s\n", fileresplb);return 1;
                   8296:   }
                   8297:   printf("Computing period (stable) back prevalence: result on file '%s' \n", fileresplb);
                   8298:   fprintf(ficlog,"Computing period (stable) back prevalence: result on file '%s' \n", fileresplb);
                   8299:   pstamp(ficresplb);
                   8300:   fprintf(ficresplb,"# Period (stable) back prevalence. Precision given by ftolpl=%g \n", ftolpl);
                   8301:   fprintf(ficresplb,"#Age ");
                   8302:   for(i=1; i<=nlstate;i++) fprintf(ficresplb,"%d-%d ",i,i);
                   8303:   fprintf(ficresplb,"\n");
                   8304:   
1.218     brouard  8305:   
                   8306:   /* prlim=matrix(1,nlstate,1,nlstate);*/ /* back in main */
                   8307:   
                   8308:   agebase=ageminpar;
                   8309:   agelim=agemaxpar;
                   8310:   
                   8311:   
1.225   ! brouard  8312:   i1=pow(2,nqfveff);
1.218     brouard  8313:   if (cptcovn < 1){i1=1;}
1.220     brouard  8314: 
                   8315:        for(k=1; k<=i1;k++){ 
                   8316:   /* for(cptcov=1,k=0;cptcov<=i1;cptcov++){ */
1.217     brouard  8317:     /* for(cptcov=1,k=0;cptcov<=1;cptcov++){ */
1.218     brouard  8318:     //for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){
1.220     brouard  8319:     /* k=k+1; */
1.218     brouard  8320:     /* to clean */
                   8321:     //printf("cptcov=%d cptcod=%d codtab=%d\n",cptcov, cptcod,codtabm(cptcod,cptcov));
                   8322:     fprintf(ficresplb,"#******");
                   8323:     printf("#******");
                   8324:     fprintf(ficlog,"#******");
1.225   ! brouard  8325:     for(j=1;j<=nqfveff;j++) {
1.218     brouard  8326:       fprintf(ficresplb," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8327:       printf(" V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8328:       fprintf(ficlog," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8329:     }
                   8330:     fprintf(ficresplb,"******\n");
                   8331:     printf("******\n");
                   8332:     fprintf(ficlog,"******\n");
1.220     brouard  8333:                if(invalidvarcomb[k]){
                   8334:                                                printf("\nCombination (%d) ignored because no cases \n",k); 
                   8335:                                                fprintf(ficresplb,"#Combination (%d) ignored because no cases \n",k); 
                   8336:                                                fprintf(ficlog,"\nCombination (%d) ignored because no cases \n",k); 
                   8337:                                                continue;
                   8338:                }
1.218     brouard  8339:     
                   8340:     fprintf(ficresplb,"#Age ");
1.225   ! brouard  8341:     for(j=1;j<=nqfveff;j++) {
1.218     brouard  8342:       fprintf(ficresplb,"V%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8343:     }
                   8344:     for(i=1; i<=nlstate;i++) fprintf(ficresplb,"  %d-%d   ",i,i);
                   8345:     fprintf(ficresplb,"Total Years_to_converge\n");
                   8346:     
                   8347:     
                   8348:     for (age=agebase; age<=agelim; age++){
                   8349:       /* for (age=agebase; age<=agebase; age++){ */
                   8350:       if(mobilavproj > 0){
                   8351:        /* bprevalim(bprlim, mobaverage, nlstate, p, age, ageminpar, agemaxpar, oldm, savm, doldm, dsavm, ftolpl, ncvyearp, k); */
                   8352:        /* bprevalim(bprlim, mobaverage, nlstate, p, age, oldm, savm, dnewm, doldm, dsavm, ftolpl, ncvyearp, k); */
1.219     brouard  8353:                                bprevalim(bprlim, mobaverage, nlstate, p, age, ftolpl, ncvyearp, k);
1.218     brouard  8354:       }else if (mobilavproj == 0){
1.219     brouard  8355:                                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);
                   8356:                                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);
                   8357:                                exit(1);
1.218     brouard  8358:       }else{
1.219     brouard  8359:                                /* bprevalim(bprlim, probs, nlstate, p, age, oldm, savm, dnewm, doldm, dsavm, ftolpl, ncvyearp, k); */
                   8360:                                bprevalim(bprlim, probs, nlstate, p, age, ftolpl, ncvyearp, k);
1.218     brouard  8361:       }
                   8362:       fprintf(ficresplb,"%.0f ",age );
1.225   ! brouard  8363:       for(j=1;j<=nqfveff;j++)
1.219     brouard  8364:                                fprintf(ficresplb,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.218     brouard  8365:       tot=0.;
                   8366:       for(i=1; i<=nlstate;i++){
1.219     brouard  8367:                                tot +=  bprlim[i][i];
                   8368:                                fprintf(ficresplb," %.5f", bprlim[i][i]);
1.218     brouard  8369:       }
                   8370:       fprintf(ficresplb," %.3f %d\n", tot, *ncvyearp);
                   8371:     } /* Age */
                   8372:     /* was end of cptcod */
                   8373:   } /* cptcov */
                   8374:   
                   8375:   /* hBijx(p, bage, fage); */
                   8376:   /* fclose(ficrespijb); */
                   8377:   
                   8378:   return 0;
1.217     brouard  8379: }
1.218     brouard  8380:  
1.180     brouard  8381: int hPijx(double *p, int bage, int fage){
                   8382:     /*------------- h Pij x at various ages ------------*/
                   8383: 
                   8384:   int stepsize;
                   8385:   int agelim;
                   8386:   int hstepm;
                   8387:   int nhstepm;
                   8388:   int h, i, i1, j, k;
                   8389: 
                   8390:   double agedeb;
                   8391:   double ***p3mat;
                   8392: 
1.201     brouard  8393:     strcpy(filerespij,"PIJ_");  strcat(filerespij,fileresu);
1.180     brouard  8394:     if((ficrespij=fopen(filerespij,"w"))==NULL) {
                   8395:       printf("Problem with Pij resultfile: %s\n", filerespij); return 1;
                   8396:       fprintf(ficlog,"Problem with Pij resultfile: %s\n", filerespij); return 1;
                   8397:     }
                   8398:     printf("Computing pij: result on file '%s' \n", filerespij);
                   8399:     fprintf(ficlog,"Computing pij: result on file '%s' \n", filerespij);
                   8400:   
                   8401:     stepsize=(int) (stepm+YEARM-1)/YEARM;
                   8402:     /*if (stepm<=24) stepsize=2;*/
                   8403: 
                   8404:     agelim=AGESUP;
                   8405:     hstepm=stepsize*YEARM; /* Every year of age */
                   8406:     hstepm=hstepm/stepm; /* Typically 2 years, = 2/6 months = 4 */ 
1.218     brouard  8407:                
1.180     brouard  8408:     /* hstepm=1;   aff par mois*/
                   8409:     pstamp(ficrespij);
                   8410:     fprintf(ficrespij,"#****** h Pij x Probability to be in state j at age x+h being in i at x ");
1.225   ! brouard  8411:     i1= pow(2,nqfveff);
1.218     brouard  8412:                /* for(cptcov=1,k=0;cptcov<=i1;cptcov++){ */
                   8413:                /*    /\*for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*\/ */
                   8414:                /*      k=k+1;  */
1.225   ! brouard  8415:     for (k=1; k <= (int) pow(2,nqfveff); k++){
1.183     brouard  8416:       fprintf(ficrespij,"\n#****** ");
1.225   ! brouard  8417:       for(j=1;j<=nqfveff;j++) 
1.198     brouard  8418:        fprintf(ficrespij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.183     brouard  8419:       fprintf(ficrespij,"******\n");
                   8420:       
                   8421:       for (agedeb=fage; agedeb>=bage; agedeb--){ /* If stepm=6 months */
                   8422:        nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
                   8423:        nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
                   8424:        
                   8425:        /*        nhstepm=nhstepm*YEARM; aff par mois*/
1.180     brouard  8426:        
1.183     brouard  8427:        p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   8428:        oldm=oldms;savm=savms;
                   8429:        hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);  
                   8430:        fprintf(ficrespij,"# Cov Agex agex+h hpijx with i,j=");
                   8431:        for(i=1; i<=nlstate;i++)
                   8432:          for(j=1; j<=nlstate+ndeath;j++)
                   8433:            fprintf(ficrespij," %1d-%1d",i,j);
                   8434:        fprintf(ficrespij,"\n");
                   8435:        for (h=0; h<=nhstepm; h++){
                   8436:          /*agedebphstep = agedeb + h*hstepm/YEARM*stepm;*/
                   8437:          fprintf(ficrespij,"%d %3.f %3.f",k, agedeb, agedeb + h*hstepm/YEARM*stepm );
1.180     brouard  8438:          for(i=1; i<=nlstate;i++)
                   8439:            for(j=1; j<=nlstate+ndeath;j++)
1.183     brouard  8440:              fprintf(ficrespij," %.5f", p3mat[i][j][h]);
1.180     brouard  8441:          fprintf(ficrespij,"\n");
                   8442:        }
1.183     brouard  8443:        free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   8444:        fprintf(ficrespij,"\n");
                   8445:       }
1.180     brouard  8446:       /*}*/
                   8447:     }
1.218     brouard  8448:     return 0;
1.180     brouard  8449: }
1.218     brouard  8450:  
                   8451:  int hBijx(double *p, int bage, int fage, double ***prevacurrent){
1.217     brouard  8452:     /*------------- h Bij x at various ages ------------*/
                   8453: 
                   8454:   int stepsize;
1.218     brouard  8455:   /* int agelim; */
                   8456:        int ageminl;
1.217     brouard  8457:   int hstepm;
                   8458:   int nhstepm;
                   8459:   int h, i, i1, j, k;
1.218     brouard  8460:        
1.217     brouard  8461:   double agedeb;
                   8462:   double ***p3mat;
1.218     brouard  8463:        
                   8464:   strcpy(filerespijb,"PIJB_");  strcat(filerespijb,fileresu);
                   8465:   if((ficrespijb=fopen(filerespijb,"w"))==NULL) {
                   8466:     printf("Problem with Pij back resultfile: %s\n", filerespijb); return 1;
                   8467:     fprintf(ficlog,"Problem with Pij back resultfile: %s\n", filerespijb); return 1;
                   8468:   }
                   8469:   printf("Computing pij back: result on file '%s' \n", filerespijb);
                   8470:   fprintf(ficlog,"Computing pij back: result on file '%s' \n", filerespijb);
                   8471:   
                   8472:   stepsize=(int) (stepm+YEARM-1)/YEARM;
                   8473:   /*if (stepm<=24) stepsize=2;*/
1.217     brouard  8474:   
1.218     brouard  8475:   /* agelim=AGESUP; */
                   8476:   ageminl=30;
                   8477:   hstepm=stepsize*YEARM; /* Every year of age */
                   8478:   hstepm=hstepm/stepm; /* Typically 2 years, = 2/6 months = 4 */
                   8479:   
                   8480:   /* hstepm=1;   aff par mois*/
                   8481:   pstamp(ficrespijb);
                   8482:   fprintf(ficrespijb,"#****** h Pij x Back Probability to be in state i at age x-h being in j at x ");
1.225   ! brouard  8483:   i1= pow(2,nqfveff);
1.218     brouard  8484:   /* for(cptcov=1,k=0;cptcov<=i1;cptcov++){ */
                   8485:   /*    /\*for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*\/ */
                   8486:   /*   k=k+1;  */
1.225   ! brouard  8487:   for (k=1; k <= (int) pow(2,nqfveff); k++){
1.218     brouard  8488:     fprintf(ficrespijb,"\n#****** ");
1.225   ! brouard  8489:     for(j=1;j<=nqfveff;j++)
1.218     brouard  8490:       fprintf(ficrespijb,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8491:     fprintf(ficrespijb,"******\n");
1.222     brouard  8492:     if(invalidvarcomb[k]){
                   8493:       fprintf(ficrespijb,"\n#Combination (%d) ignored because no cases \n",k); 
                   8494:       continue;
                   8495:     }
1.218     brouard  8496:     
                   8497:     /* for (agedeb=fage; agedeb>=bage; agedeb--){ /\* If stepm=6 months *\/ */
                   8498:     for (agedeb=bage; agedeb<=fage; agedeb++){ /* If stepm=6 months and estepm=24 (2 years) */
                   8499:       /* nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); /\* Typically 20 years = 20*12/6=40 *\/ */
                   8500:       nhstepm=(int) rint((agedeb-ageminl)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */
                   8501:       nhstepm = nhstepm/hstepm; /* Typically 40/4=10, because estepm=24 stepm=6 => hstepm=24/6=4 */
                   8502:       
                   8503:       /*         nhstepm=nhstepm*YEARM; aff par mois*/
                   8504:       
                   8505:       p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   8506:       /* oldm=oldms;savm=savms; */
                   8507:       /* hbxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);   */
                   8508:       hbxij(p3mat,nhstepm,agedeb,hstepm,p,prevacurrent,nlstate,stepm, k);
                   8509:       /* hbxij(p3mat,nhstepm,agedeb,hstepm,p,prevacurrent,nlstate,stepm,oldm,savm, dnewm, doldm, dsavm, k); */
                   8510:       fprintf(ficrespijb,"# Cov Agex agex-h hpijx with i,j=");
                   8511:       for(i=1; i<=nlstate;i++)
                   8512:        for(j=1; j<=nlstate+ndeath;j++)
                   8513:          fprintf(ficrespijb," %1d-%1d",i,j);
                   8514:       fprintf(ficrespijb,"\n");
                   8515:       for (h=0; h<=nhstepm; h++){
                   8516:        /*agedebphstep = agedeb + h*hstepm/YEARM*stepm;*/
                   8517:        fprintf(ficrespijb,"%d %3.f %3.f",k, agedeb, agedeb - h*hstepm/YEARM*stepm );
                   8518:        /* fprintf(ficrespijb,"%d %3.f %3.f",k, agedeb, agedeb + h*hstepm/YEARM*stepm ); */
1.217     brouard  8519:        for(i=1; i<=nlstate;i++)
                   8520:          for(j=1; j<=nlstate+ndeath;j++)
1.218     brouard  8521:            fprintf(ficrespijb," %.5f", p3mat[i][j][h]);
1.217     brouard  8522:        fprintf(ficrespijb,"\n");
                   8523:       }
1.218     brouard  8524:       free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   8525:       fprintf(ficrespijb,"\n");
1.217     brouard  8526:     }
1.218     brouard  8527:     /*}*/
                   8528:   }
                   8529:   return 0;
                   8530:  } /*  hBijx */
1.217     brouard  8531: 
1.180     brouard  8532: 
1.136     brouard  8533: /***********************************************/
                   8534: /**************** Main Program *****************/
                   8535: /***********************************************/
                   8536: 
                   8537: int main(int argc, char *argv[])
                   8538: {
                   8539: #ifdef GSL
                   8540:   const gsl_multimin_fminimizer_type *T;
                   8541:   size_t iteri = 0, it;
                   8542:   int rval = GSL_CONTINUE;
                   8543:   int status = GSL_SUCCESS;
                   8544:   double ssval;
                   8545: #endif
                   8546:   int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav);
1.164     brouard  8547:   int i,j, k, n=MAXN,iter=0,m,size=100, cptcod;
1.209     brouard  8548:   int ncvyear=0; /* Number of years needed for the period prevalence to converge */
1.164     brouard  8549:   int jj, ll, li, lj, lk;
1.136     brouard  8550:   int numlinepar=0; /* Current linenumber of parameter file */
1.197     brouard  8551:   int num_filled;
1.136     brouard  8552:   int itimes;
                   8553:   int NDIM=2;
                   8554:   int vpopbased=0;
                   8555: 
1.164     brouard  8556:   char ca[32], cb[32];
1.136     brouard  8557:   /*  FILE *fichtm; *//* Html File */
                   8558:   /* FILE *ficgp;*/ /*Gnuplot File */
                   8559:   struct stat info;
1.191     brouard  8560:   double agedeb=0.;
1.194     brouard  8561: 
                   8562:   double ageminpar=AGEOVERFLOW,agemin=AGEOVERFLOW, agemaxpar=-AGEOVERFLOW, agemax=-AGEOVERFLOW;
1.219     brouard  8563:   double ageminout=-AGEOVERFLOW,agemaxout=AGEOVERFLOW; /* Smaller Age range redefined after movingaverage */
1.136     brouard  8564: 
1.165     brouard  8565:   double fret;
1.191     brouard  8566:   double dum=0.; /* Dummy variable */
1.136     brouard  8567:   double ***p3mat;
1.218     brouard  8568:   /* double ***mobaverage; */
1.164     brouard  8569: 
                   8570:   char line[MAXLINE];
1.197     brouard  8571:   char path[MAXLINE],pathc[MAXLINE],pathcd[MAXLINE],pathtot[MAXLINE];
                   8572: 
                   8573:   char model[MAXLINE], modeltemp[MAXLINE];
1.136     brouard  8574:   char pathr[MAXLINE], pathimach[MAXLINE]; 
1.164     brouard  8575:   char *tok, *val; /* pathtot */
1.136     brouard  8576:   int firstobs=1, lastobs=10;
1.195     brouard  8577:   int c,  h , cpt, c2;
1.191     brouard  8578:   int jl=0;
                   8579:   int i1, j1, jk, stepsize=0;
1.194     brouard  8580:   int count=0;
                   8581: 
1.164     brouard  8582:   int *tab; 
1.136     brouard  8583:   int mobilavproj=0 , prevfcast=0 ; /* moving average of prev, If prevfcast=1 prevalence projection */
1.217     brouard  8584:   int backcast=0;
1.136     brouard  8585:   int mobilav=0,popforecast=0;
1.191     brouard  8586:   int hstepm=0, nhstepm=0;
1.136     brouard  8587:   int agemortsup;
                   8588:   float  sumlpop=0.;
                   8589:   double jprev1=1, mprev1=1,anprev1=2000,jprev2=1, mprev2=1,anprev2=2000;
                   8590:   double jpyram=1, mpyram=1,anpyram=2000,jpyram1=1, mpyram1=1,anpyram1=2000;
                   8591: 
1.191     brouard  8592:   double bage=0, fage=110., age, agelim=0., agebase=0.;
1.136     brouard  8593:   double ftolpl=FTOL;
                   8594:   double **prlim;
1.217     brouard  8595:   double **bprlim;
1.136     brouard  8596:   double ***param; /* Matrix of parameters */
                   8597:   double  *p;
                   8598:   double **matcov; /* Matrix of covariance */
1.203     brouard  8599:   double **hess; /* Hessian matrix */
1.136     brouard  8600:   double ***delti3; /* Scale */
                   8601:   double *delti; /* Scale */
                   8602:   double ***eij, ***vareij;
                   8603:   double **varpl; /* Variances of prevalence limits by age */
                   8604:   double *epj, vepp;
1.164     brouard  8605: 
1.136     brouard  8606:   double dateprev1, dateprev2,jproj1=1,mproj1=1,anproj1=2000,jproj2=1,mproj2=1,anproj2=2000;
1.217     brouard  8607:   double jback1=1,mback1=1,anback1=2000,jback2=1,mback2=1,anback2=2000;
                   8608: 
1.136     brouard  8609:   double **ximort;
1.145     brouard  8610:   char *alph[]={"a","a","b","c","d","e"}, str[4]="1234";
1.136     brouard  8611:   int *dcwave;
                   8612: 
1.164     brouard  8613:   char z[1]="c";
1.136     brouard  8614: 
                   8615:   /*char  *strt;*/
                   8616:   char strtend[80];
1.126     brouard  8617: 
1.164     brouard  8618: 
1.126     brouard  8619: /*   setlocale (LC_ALL, ""); */
                   8620: /*   bindtextdomain (PACKAGE, LOCALEDIR); */
                   8621: /*   textdomain (PACKAGE); */
                   8622: /*   setlocale (LC_CTYPE, ""); */
                   8623: /*   setlocale (LC_MESSAGES, ""); */
                   8624: 
                   8625:   /*   gettimeofday(&start_time, (struct timezone*)0); */ /* at first time */
1.157     brouard  8626:   rstart_time = time(NULL);  
                   8627:   /*  (void) gettimeofday(&start_time,&tzp);*/
                   8628:   start_time = *localtime(&rstart_time);
1.126     brouard  8629:   curr_time=start_time;
1.157     brouard  8630:   /*tml = *localtime(&start_time.tm_sec);*/
                   8631:   /* strcpy(strstart,asctime(&tml)); */
                   8632:   strcpy(strstart,asctime(&start_time));
1.126     brouard  8633: 
                   8634: /*  printf("Localtime (at start)=%s",strstart); */
1.157     brouard  8635: /*  tp.tm_sec = tp.tm_sec +86400; */
                   8636: /*  tm = *localtime(&start_time.tm_sec); */
1.126     brouard  8637: /*   tmg.tm_year=tmg.tm_year +dsign*dyear; */
                   8638: /*   tmg.tm_mon=tmg.tm_mon +dsign*dmonth; */
                   8639: /*   tmg.tm_hour=tmg.tm_hour + 1; */
1.157     brouard  8640: /*   tp.tm_sec = mktime(&tmg); */
1.126     brouard  8641: /*   strt=asctime(&tmg); */
                   8642: /*   printf("Time(after) =%s",strstart);  */
                   8643: /*  (void) time (&time_value);
                   8644: *  printf("time=%d,t-=%d\n",time_value,time_value-86400);
                   8645: *  tm = *localtime(&time_value);
                   8646: *  strstart=asctime(&tm);
                   8647: *  printf("tim_value=%d,asctime=%s\n",time_value,strstart); 
                   8648: */
                   8649: 
                   8650:   nberr=0; /* Number of errors and warnings */
                   8651:   nbwarn=0;
1.184     brouard  8652: #ifdef WIN32
                   8653:   _getcwd(pathcd, size);
                   8654: #else
1.126     brouard  8655:   getcwd(pathcd, size);
1.184     brouard  8656: #endif
1.191     brouard  8657:   syscompilerinfo(0);
1.196     brouard  8658:   printf("\nIMaCh version %s, %s\n%s",version, copyright, fullversion);
1.126     brouard  8659:   if(argc <=1){
                   8660:     printf("\nEnter the parameter file name: ");
1.205     brouard  8661:     if(!fgets(pathr,FILENAMELENGTH,stdin)){
                   8662:       printf("ERROR Empty parameter file name\n");
                   8663:       goto end;
                   8664:     }
1.126     brouard  8665:     i=strlen(pathr);
                   8666:     if(pathr[i-1]=='\n')
                   8667:       pathr[i-1]='\0';
1.156     brouard  8668:     i=strlen(pathr);
1.205     brouard  8669:     if(i >= 1 && pathr[i-1]==' ') {/* This may happen when dragging on oS/X! */
1.156     brouard  8670:       pathr[i-1]='\0';
1.205     brouard  8671:     }
                   8672:     i=strlen(pathr);
                   8673:     if( i==0 ){
                   8674:       printf("ERROR Empty parameter file name\n");
                   8675:       goto end;
                   8676:     }
                   8677:     for (tok = pathr; tok != NULL; ){
1.126     brouard  8678:       printf("Pathr |%s|\n",pathr);
                   8679:       while ((val = strsep(&tok, "\"" )) != NULL && *val == '\0');
                   8680:       printf("val= |%s| pathr=%s\n",val,pathr);
                   8681:       strcpy (pathtot, val);
                   8682:       if(pathr[0] == '\0') break; /* Dirty */
                   8683:     }
                   8684:   }
                   8685:   else{
                   8686:     strcpy(pathtot,argv[1]);
                   8687:   }
                   8688:   /*if(getcwd(pathcd, MAXLINE)!= NULL)printf ("Error pathcd\n");*/
                   8689:   /*cygwin_split_path(pathtot,path,optionfile);
                   8690:     printf("pathtot=%s, path=%s, optionfile=%s\n",pathtot,path,optionfile);*/
                   8691:   /* cutv(path,optionfile,pathtot,'\\');*/
                   8692: 
                   8693:   /* Split argv[0], imach program to get pathimach */
                   8694:   printf("\nargv[0]=%s argv[1]=%s, \n",argv[0],argv[1]);
                   8695:   split(argv[0],pathimach,optionfile,optionfilext,optionfilefiname);
                   8696:   printf("\nargv[0]=%s pathimach=%s, \noptionfile=%s \noptionfilext=%s \noptionfilefiname=%s\n",argv[0],pathimach,optionfile,optionfilext,optionfilefiname);
                   8697:  /*   strcpy(pathimach,argv[0]); */
                   8698:   /* Split argv[1]=pathtot, parameter file name to get path, optionfile, extension and name */
                   8699:   split(pathtot,path,optionfile,optionfilext,optionfilefiname);
                   8700:   printf("\npathtot=%s,\npath=%s,\noptionfile=%s \noptionfilext=%s \noptionfilefiname=%s\n",pathtot,path,optionfile,optionfilext,optionfilefiname);
1.184     brouard  8701: #ifdef WIN32
                   8702:   _chdir(path); /* Can be a relative path */
                   8703:   if(_getcwd(pathcd,MAXLINE) > 0) /* So pathcd is the full path */
                   8704: #else
1.126     brouard  8705:   chdir(path); /* Can be a relative path */
1.184     brouard  8706:   if (getcwd(pathcd, MAXLINE) > 0) /* So pathcd is the full path */
                   8707: #endif
                   8708:   printf("Current directory %s!\n",pathcd);
1.126     brouard  8709:   strcpy(command,"mkdir ");
                   8710:   strcat(command,optionfilefiname);
                   8711:   if((outcmd=system(command)) != 0){
1.169     brouard  8712:     printf("Directory already exists (or can't create it) %s%s, err=%d\n",path,optionfilefiname,outcmd);
1.126     brouard  8713:     /* fprintf(ficlog,"Problem creating directory %s%s\n",path,optionfilefiname); */
                   8714:     /* fclose(ficlog); */
                   8715: /*     exit(1); */
                   8716:   }
                   8717: /*   if((imk=mkdir(optionfilefiname))<0){ */
                   8718: /*     perror("mkdir"); */
                   8719: /*   } */
                   8720: 
                   8721:   /*-------- arguments in the command line --------*/
                   8722: 
1.186     brouard  8723:   /* Main Log file */
1.126     brouard  8724:   strcat(filelog, optionfilefiname);
                   8725:   strcat(filelog,".log");    /* */
                   8726:   if((ficlog=fopen(filelog,"w"))==NULL)    {
                   8727:     printf("Problem with logfile %s\n",filelog);
                   8728:     goto end;
                   8729:   }
                   8730:   fprintf(ficlog,"Log filename:%s\n",filelog);
1.197     brouard  8731:   fprintf(ficlog,"Version %s %s",version,fullversion);
1.126     brouard  8732:   fprintf(ficlog,"\nEnter the parameter file name: \n");
                   8733:   fprintf(ficlog,"pathimach=%s\npathtot=%s\n\
                   8734:  path=%s \n\
                   8735:  optionfile=%s\n\
                   8736:  optionfilext=%s\n\
1.156     brouard  8737:  optionfilefiname='%s'\n",pathimach,pathtot,path,optionfile,optionfilext,optionfilefiname);
1.126     brouard  8738: 
1.197     brouard  8739:   syscompilerinfo(1);
1.167     brouard  8740: 
1.126     brouard  8741:   printf("Local time (at start):%s",strstart);
                   8742:   fprintf(ficlog,"Local time (at start): %s",strstart);
                   8743:   fflush(ficlog);
                   8744: /*   (void) gettimeofday(&curr_time,&tzp); */
1.157     brouard  8745: /*   printf("Elapsed time %d\n", asc_diff_time(curr_time.tm_sec-start_time.tm_sec,tmpout)); */
1.126     brouard  8746: 
                   8747:   /* */
                   8748:   strcpy(fileres,"r");
                   8749:   strcat(fileres, optionfilefiname);
1.201     brouard  8750:   strcat(fileresu, optionfilefiname); /* Without r in front */
1.126     brouard  8751:   strcat(fileres,".txt");    /* Other files have txt extension */
1.201     brouard  8752:   strcat(fileresu,".txt");    /* Other files have txt extension */
1.126     brouard  8753: 
1.186     brouard  8754:   /* Main ---------arguments file --------*/
1.126     brouard  8755: 
                   8756:   if((ficpar=fopen(optionfile,"r"))==NULL)    {
1.155     brouard  8757:     printf("Problem with optionfile '%s' with errno='%s'\n",optionfile,strerror(errno));
                   8758:     fprintf(ficlog,"Problem with optionfile '%s' with errno='%s'\n",optionfile,strerror(errno));
1.126     brouard  8759:     fflush(ficlog);
1.149     brouard  8760:     /* goto end; */
                   8761:     exit(70); 
1.126     brouard  8762:   }
                   8763: 
                   8764: 
                   8765: 
                   8766:   strcpy(filereso,"o");
1.201     brouard  8767:   strcat(filereso,fileresu);
1.126     brouard  8768:   if((ficparo=fopen(filereso,"w"))==NULL) { /* opened on subdirectory */
                   8769:     printf("Problem with Output resultfile: %s\n", filereso);
                   8770:     fprintf(ficlog,"Problem with Output resultfile: %s\n", filereso);
                   8771:     fflush(ficlog);
                   8772:     goto end;
                   8773:   }
                   8774: 
                   8775:   /* Reads comments: lines beginning with '#' */
                   8776:   numlinepar=0;
1.197     brouard  8777: 
                   8778:     /* First parameter line */
                   8779:   while(fgets(line, MAXLINE, ficpar)) {
                   8780:     /* If line starts with a # it is a comment */
                   8781:     if (line[0] == '#') {
                   8782:       numlinepar++;
                   8783:       fputs(line,stdout);
                   8784:       fputs(line,ficparo);
                   8785:       fputs(line,ficlog);
                   8786:       continue;
                   8787:     }else
                   8788:       break;
                   8789:   }
                   8790:   if((num_filled=sscanf(line,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", \
                   8791:                        title, datafile, &lastobs, &firstpass,&lastpass)) !=EOF){
                   8792:     if (num_filled != 5) {
                   8793:       printf("Should be 5 parameters\n");
                   8794:     }
1.126     brouard  8795:     numlinepar++;
1.197     brouard  8796:     printf("title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", title, datafile, lastobs, firstpass,lastpass);
                   8797:   }
                   8798:   /* Second parameter line */
                   8799:   while(fgets(line, MAXLINE, ficpar)) {
                   8800:     /* If line starts with a # it is a comment */
                   8801:     if (line[0] == '#') {
                   8802:       numlinepar++;
                   8803:       fputs(line,stdout);
                   8804:       fputs(line,ficparo);
                   8805:       fputs(line,ficlog);
                   8806:       continue;
                   8807:     }else
                   8808:       break;
                   8809:   }
1.223     brouard  8810:   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", \
                   8811:                        &ftol, &stepm, &ncovcol, &nqv, &ntv, &nqtv, &nlstate, &ndeath, &maxwav, &mle, &weightopt)) !=EOF){
                   8812:     if (num_filled != 11) {
                   8813:       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  8814:       printf("but line=%s\n",line);
1.197     brouard  8815:     }
1.223     brouard  8816:     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  8817:   }
1.203     brouard  8818:   /* ftolpl=6*ftol*1.e5; /\* 6.e-3 make convergences in less than 80 loops for the prevalence limit *\/ */
1.209     brouard  8819:   /*ftolpl=6.e-4; *//* 6.e-3 make convergences in less than 80 loops for the prevalence limit */
1.197     brouard  8820:   /* Third parameter line */
                   8821:   while(fgets(line, MAXLINE, ficpar)) {
                   8822:     /* If line starts with a # it is a comment */
                   8823:     if (line[0] == '#') {
                   8824:       numlinepar++;
                   8825:       fputs(line,stdout);
                   8826:       fputs(line,ficparo);
                   8827:       fputs(line,ficlog);
                   8828:       continue;
                   8829:     }else
                   8830:       break;
                   8831:   }
1.201     brouard  8832:   if((num_filled=sscanf(line,"model=1+age%[^.\n]", model)) !=EOF){
                   8833:     if (num_filled == 0)
                   8834:             model[0]='\0';
                   8835:     else if (num_filled != 1){
1.197     brouard  8836:       printf("ERROR %d: Model should be at minimum 'model=1+age.' %s\n",num_filled, line);
                   8837:       fprintf(ficlog,"ERROR %d: Model should be at minimum 'model=1+age.' %s\n",num_filled, line);
                   8838:       model[0]='\0';
                   8839:       goto end;
                   8840:     }
                   8841:     else{
                   8842:       if (model[0]=='+'){
                   8843:        for(i=1; i<=strlen(model);i++)
                   8844:          modeltemp[i-1]=model[i];
1.201     brouard  8845:        strcpy(model,modeltemp); 
1.197     brouard  8846:       }
                   8847:     }
1.199     brouard  8848:     /* printf(" model=1+age%s modeltemp= %s, model=%s\n",model, modeltemp, model);fflush(stdout); */
1.203     brouard  8849:     printf("model=1+age+%s\n",model);fflush(stdout);
1.197     brouard  8850:   }
                   8851:   /* 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); */
                   8852:   /* numlinepar=numlinepar+3; /\* In general *\/ */
                   8853:   /* 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  8854:   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);
                   8855:   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  8856:   fflush(ficlog);
1.190     brouard  8857:   /* if(model[0]=='#'|| model[0]== '\0'){ */
                   8858:   if(model[0]=='#'){
1.187     brouard  8859:     printf("Error in 'model' line: model should start with 'model=1+age+' and end with '.' \n \
                   8860:  'model=1+age+.' or 'model=1+age+V1.' or 'model=1+age+age*age+V1+V1*age.' or \n \
                   8861:  'model=1+age+V1+V2.' or 'model=1+age+V1+V2+V1*V2.' etc. \n");         \
                   8862:     if(mle != -1){
                   8863:       printf("Fix the model line and run imach with mle=-1 to get a correct template of the parameter file.\n");
                   8864:       exit(1);
                   8865:     }
                   8866:   }
1.126     brouard  8867:   while((c=getc(ficpar))=='#' && c!= EOF){
                   8868:     ungetc(c,ficpar);
                   8869:     fgets(line, MAXLINE, ficpar);
                   8870:     numlinepar++;
1.195     brouard  8871:     if(line[1]=='q'){ /* This #q will quit imach (the answer is q) */
                   8872:       z[0]=line[1];
                   8873:     }
                   8874:     /* printf("****line [1] = %c \n",line[1]); */
1.141     brouard  8875:     fputs(line, stdout);
                   8876:     //puts(line);
1.126     brouard  8877:     fputs(line,ficparo);
                   8878:     fputs(line,ficlog);
                   8879:   }
                   8880:   ungetc(c,ficpar);
                   8881: 
                   8882:    
1.145     brouard  8883:   covar=matrix(0,NCOVMAX,1,n);  /**< used in readdata */
1.225   ! brouard  8884:   coqvar=matrix(1,nqv,1,n);  /**< Fixed quantitative covariate */
        !          8885:   cotvar=ma3x(1,maxwav,1,ntv,1,n);  /**< Time varying covariate */
        !          8886:   cotqvar=ma3x(1,maxwav,1,nqtv,1,n);  /**< Time varying quantitative covariate */
1.136     brouard  8887:   cptcovn=0; /*Number of covariates, i.e. number of '+' in model statement plus one, indepently of n in Vn*/
                   8888:   /* v1+v2+v3+v2*v4+v5*age makes cptcovn = 5
                   8889:      v1+v2*age+v2*v3 makes cptcovn = 3
                   8890:   */
                   8891:   if (strlen(model)>1) 
1.187     brouard  8892:     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  8893:   else
1.187     brouard  8894:     ncovmodel=2; /* Constant and age */
1.133     brouard  8895:   nforce= (nlstate+ndeath-1)*nlstate; /* Number of forces ij from state i to j */
                   8896:   npar= nforce*ncovmodel; /* Number of parameters like aij*/
1.131     brouard  8897:   if(npar >MAXPARM || nlstate >NLSTATEMAX || ndeath >NDEATHMAX || ncovmodel>NCOVMAX){
                   8898:     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);
                   8899:     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);
                   8900:     fflush(stdout);
                   8901:     fclose (ficlog);
                   8902:     goto end;
                   8903:   }
1.126     brouard  8904:   delti3= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
                   8905:   delti=delti3[1][1];
                   8906:   /*delti=vector(1,npar); *//* Scale of each paramater (output from hesscov)*/
                   8907:   if(mle==-1){ /* Print a wizard for help writing covariance matrix */
                   8908:     prwizard(ncovmodel, nlstate, ndeath, model, ficparo);
1.191     brouard  8909:     printf(" You chose mle=-1, look at file %s for a template of covariance matrix \n",filereso);
                   8910:     fprintf(ficlog," You chose mle=-1, look at file %s for a template of covariance matrix \n",filereso);
1.126     brouard  8911:     free_ma3x(delti3,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel); 
                   8912:     fclose (ficparo);
                   8913:     fclose (ficlog);
                   8914:     goto end;
                   8915:     exit(0);
1.220     brouard  8916:   }  else if(mle==-5) { /* Main Wizard */
1.126     brouard  8917:     prwizard(ncovmodel, nlstate, ndeath, model, ficparo);
1.192     brouard  8918:     printf(" You chose mle=-3, look at file %s for a template of covariance matrix \n",filereso);
                   8919:     fprintf(ficlog," You chose mle=-3, look at file %s for a template of covariance matrix \n",filereso);
1.126     brouard  8920:     param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
                   8921:     matcov=matrix(1,npar,1,npar);
1.203     brouard  8922:     hess=matrix(1,npar,1,npar);
1.220     brouard  8923:   }  else{ /* Begin of mle != -1 or -5 */
1.145     brouard  8924:     /* Read guessed parameters */
1.126     brouard  8925:     /* Reads comments: lines beginning with '#' */
                   8926:     while((c=getc(ficpar))=='#' && c!= EOF){
                   8927:       ungetc(c,ficpar);
                   8928:       fgets(line, MAXLINE, ficpar);
                   8929:       numlinepar++;
1.141     brouard  8930:       fputs(line,stdout);
1.126     brouard  8931:       fputs(line,ficparo);
                   8932:       fputs(line,ficlog);
                   8933:     }
                   8934:     ungetc(c,ficpar);
                   8935:     
                   8936:     param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
                   8937:     for(i=1; i <=nlstate; i++){
1.220     brouard  8938:                        j=0;
1.126     brouard  8939:       for(jj=1; jj <=nlstate+ndeath; jj++){
1.220     brouard  8940:                                if(jj==i) continue;
                   8941:                                j++;
                   8942:                                fscanf(ficpar,"%1d%1d",&i1,&j1);
                   8943:                                if ((i1 != i) || (j1 != jj)){
                   8944:                                        printf("Error in line parameters number %d, %1d%1d instead of %1d%1d \n \
1.126     brouard  8945: It might be a problem of design; if ncovcol and the model are correct\n \
                   8946: run imach with mle=-1 to get a correct template of the parameter file.\n",numlinepar, i,j, i1, j1);
1.220     brouard  8947:                                        exit(1);
                   8948:                                }
                   8949:                                fprintf(ficparo,"%1d%1d",i1,j1);
                   8950:                                if(mle==1)
                   8951:                                        printf("%1d%1d",i,jj);
                   8952:                                fprintf(ficlog,"%1d%1d",i,jj);
                   8953:                                for(k=1; k<=ncovmodel;k++){
                   8954:                                        fscanf(ficpar," %lf",&param[i][j][k]);
                   8955:                                        if(mle==1){
                   8956:                                                printf(" %lf",param[i][j][k]);
                   8957:                                                fprintf(ficlog," %lf",param[i][j][k]);
                   8958:                                        }
                   8959:                                        else
                   8960:                                                fprintf(ficlog," %lf",param[i][j][k]);
                   8961:                                        fprintf(ficparo," %lf",param[i][j][k]);
                   8962:                                }
                   8963:                                fscanf(ficpar,"\n");
                   8964:                                numlinepar++;
                   8965:                                if(mle==1)
                   8966:                                        printf("\n");
                   8967:                                fprintf(ficlog,"\n");
                   8968:                                fprintf(ficparo,"\n");
1.126     brouard  8969:       }
                   8970:     }  
                   8971:     fflush(ficlog);
                   8972: 
1.145     brouard  8973:     /* Reads scales values */
1.126     brouard  8974:     p=param[1][1];
                   8975:     
                   8976:     /* Reads comments: lines beginning with '#' */
                   8977:     while((c=getc(ficpar))=='#' && c!= EOF){
                   8978:       ungetc(c,ficpar);
                   8979:       fgets(line, MAXLINE, ficpar);
                   8980:       numlinepar++;
1.141     brouard  8981:       fputs(line,stdout);
1.126     brouard  8982:       fputs(line,ficparo);
                   8983:       fputs(line,ficlog);
                   8984:     }
                   8985:     ungetc(c,ficpar);
                   8986: 
                   8987:     for(i=1; i <=nlstate; i++){
                   8988:       for(j=1; j <=nlstate+ndeath-1; j++){
1.220     brouard  8989:                                fscanf(ficpar,"%1d%1d",&i1,&j1);
                   8990:                                if ( (i1-i) * (j1-j) != 0){
                   8991:                                        printf("Error in line parameters number %d, %1d%1d instead of %1d%1d \n",numlinepar, i,j, i1, j1);
                   8992:                                        exit(1);
                   8993:                                }
                   8994:                                printf("%1d%1d",i,j);
                   8995:                                fprintf(ficparo,"%1d%1d",i1,j1);
                   8996:                                fprintf(ficlog,"%1d%1d",i1,j1);
                   8997:                                for(k=1; k<=ncovmodel;k++){
                   8998:                                        fscanf(ficpar,"%le",&delti3[i][j][k]);
                   8999:                                        printf(" %le",delti3[i][j][k]);
                   9000:                                        fprintf(ficparo," %le",delti3[i][j][k]);
                   9001:                                        fprintf(ficlog," %le",delti3[i][j][k]);
                   9002:                                }
                   9003:                                fscanf(ficpar,"\n");
                   9004:                                numlinepar++;
                   9005:                                printf("\n");
                   9006:                                fprintf(ficparo,"\n");
                   9007:                                fprintf(ficlog,"\n");
1.126     brouard  9008:       }
                   9009:     }
                   9010:     fflush(ficlog);
1.220     brouard  9011:                
1.145     brouard  9012:     /* Reads covariance matrix */
1.126     brouard  9013:     delti=delti3[1][1];
1.220     brouard  9014:                
                   9015:                
1.126     brouard  9016:     /* 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  9017:                
1.126     brouard  9018:     /* Reads comments: lines beginning with '#' */
                   9019:     while((c=getc(ficpar))=='#' && c!= EOF){
                   9020:       ungetc(c,ficpar);
                   9021:       fgets(line, MAXLINE, ficpar);
                   9022:       numlinepar++;
1.141     brouard  9023:       fputs(line,stdout);
1.126     brouard  9024:       fputs(line,ficparo);
                   9025:       fputs(line,ficlog);
                   9026:     }
                   9027:     ungetc(c,ficpar);
1.220     brouard  9028:                
1.126     brouard  9029:     matcov=matrix(1,npar,1,npar);
1.203     brouard  9030:     hess=matrix(1,npar,1,npar);
1.131     brouard  9031:     for(i=1; i <=npar; i++)
                   9032:       for(j=1; j <=npar; j++) matcov[i][j]=0.;
1.220     brouard  9033:                
1.194     brouard  9034:     /* Scans npar lines */
1.126     brouard  9035:     for(i=1; i <=npar; i++){
1.194     brouard  9036:       count=fscanf(ficpar,"%1d%1d%1d",&i1,&j1,&jk);
                   9037:       if(count != 3){
1.220     brouard  9038:                                printf("Error! Error in parameter file %s at line %d after line starting with %1d%1d%1d\n\
1.194     brouard  9039: This is probably because your covariance matrix doesn't \n  contain exactly %d lines corresponding to your model line '1+age+%s'.\n\
                   9040: Please run with mle=-1 to get a correct covariance matrix.\n",optionfile,numlinepar, i1,j1,jk, npar, model);
1.220     brouard  9041:                                fprintf(ficlog,"Error! Error in parameter file %s at line %d after line starting with %1d%1d%1d\n\
1.194     brouard  9042: This is probably because your covariance matrix doesn't \n  contain exactly %d lines corresponding to your model line '1+age+%s'.\n\
                   9043: Please run with mle=-1 to get a correct covariance matrix.\n",optionfile,numlinepar, i1,j1,jk, npar, model);
1.220     brouard  9044:                                exit(1);
                   9045:       }else{
                   9046:                                if(mle==1)
                   9047:                                        printf("%1d%1d%1d",i1,j1,jk);
                   9048:                        }
1.194     brouard  9049:       fprintf(ficlog,"%1d%1d%1d",i1,j1,jk);
                   9050:       fprintf(ficparo,"%1d%1d%1d",i1,j1,jk);
1.126     brouard  9051:       for(j=1; j <=i; j++){
1.220     brouard  9052:                                fscanf(ficpar," %le",&matcov[i][j]);
                   9053:                                if(mle==1){
                   9054:                                        printf(" %.5le",matcov[i][j]);
                   9055:                                }
                   9056:                                fprintf(ficlog," %.5le",matcov[i][j]);
                   9057:                                fprintf(ficparo," %.5le",matcov[i][j]);
1.126     brouard  9058:       }
                   9059:       fscanf(ficpar,"\n");
                   9060:       numlinepar++;
                   9061:       if(mle==1)
1.220     brouard  9062:                                printf("\n");
1.126     brouard  9063:       fprintf(ficlog,"\n");
                   9064:       fprintf(ficparo,"\n");
                   9065:     }
1.194     brouard  9066:     /* End of read covariance matrix npar lines */
1.126     brouard  9067:     for(i=1; i <=npar; i++)
                   9068:       for(j=i+1;j<=npar;j++)
1.220     brouard  9069:                                matcov[i][j]=matcov[j][i];
1.126     brouard  9070:     
                   9071:     if(mle==1)
                   9072:       printf("\n");
                   9073:     fprintf(ficlog,"\n");
                   9074:     
                   9075:     fflush(ficlog);
                   9076:     
                   9077:     /*-------- Rewriting parameter file ----------*/
                   9078:     strcpy(rfileres,"r");    /* "Rparameterfile */
                   9079:     strcat(rfileres,optionfilefiname);    /* Parameter file first name*/
                   9080:     strcat(rfileres,".");    /* */
                   9081:     strcat(rfileres,optionfilext);    /* Other files have txt extension */
                   9082:     if((ficres =fopen(rfileres,"w"))==NULL) {
1.201     brouard  9083:       printf("Problem writing new parameter file: %s\n", rfileres);goto end;
                   9084:       fprintf(ficlog,"Problem writing new parameter file: %s\n", rfileres);goto end;
1.126     brouard  9085:     }
                   9086:     fprintf(ficres,"#%s\n",version);
                   9087:   }    /* End of mle != -3 */
1.218     brouard  9088:   
1.186     brouard  9089:   /*  Main data
                   9090:    */
1.126     brouard  9091:   n= lastobs;
                   9092:   num=lvector(1,n);
                   9093:   moisnais=vector(1,n);
                   9094:   annais=vector(1,n);
                   9095:   moisdc=vector(1,n);
                   9096:   andc=vector(1,n);
1.220     brouard  9097:   weight=vector(1,n);
1.126     brouard  9098:   agedc=vector(1,n);
                   9099:   cod=ivector(1,n);
1.220     brouard  9100:   for(i=1;i<=n;i++){
                   9101:                num[i]=0;
                   9102:                moisnais[i]=0;
                   9103:                annais[i]=0;
                   9104:                moisdc[i]=0;
                   9105:                andc[i]=0;
                   9106:                agedc[i]=0;
                   9107:                cod[i]=0;
                   9108:                weight[i]=1.0; /* Equal weights, 1 by default */
                   9109:        }
1.126     brouard  9110:   mint=matrix(1,maxwav,1,n);
                   9111:   anint=matrix(1,maxwav,1,n);
1.131     brouard  9112:   s=imatrix(1,maxwav+1,1,n); /* s[i][j] health state for wave i and individual j */ 
1.126     brouard  9113:   tab=ivector(1,NCOVMAX);
1.144     brouard  9114:   ncodemax=ivector(1,NCOVMAX); /* Number of code per covariate; if O and 1 only, 2**ncov; V1+V2+V3+V4=>16 */
1.192     brouard  9115:   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  9116: 
1.136     brouard  9117:   /* Reads data from file datafile */
                   9118:   if (readdata(datafile, firstobs, lastobs, &imx)==1)
                   9119:     goto end;
                   9120: 
                   9121:   /* Calculation of the number of parameters from char model */
1.137     brouard  9122:     /*    modelsav=V2+V1+V4+age*V3 strb=age*V3 stra=V2+V1+V4 
                   9123:        k=4 (age*V3) Tvar[k=4]= 3 (from V3) Tag[cptcovage=1]=4
                   9124:        k=3 V4 Tvar[k=3]= 4 (from V4)
                   9125:        k=2 V1 Tvar[k=2]= 1 (from V1)
                   9126:        k=1 Tvar[1]=2 (from V2)
                   9127:     */
                   9128:   Tvar=ivector(1,NCOVMAX); /* Was 15 changed to NCOVMAX. */
1.225   ! brouard  9129:   Typevar=ivector(1,NCOVMAX); /* -1 to 4 */
1.137     brouard  9130:   /*  V2+V1+V4+age*V3 is a model with 4 covariates (3 plus signs). 
                   9131:       For each model-covariate stores the data-covariate id. Tvar[1]=2, Tvar[2]=1, Tvar[3]=4, 
                   9132:       Tvar[4=age*V3] is 3 and 'age' is recorded in Tage.
                   9133:   */
                   9134:   /* For model-covariate k tells which data-covariate to use but
                   9135:     because this model-covariate is a construction we invent a new column
                   9136:     ncovcol + k1
                   9137:     If already ncovcol=4 and model=V2+V1+V1*V4+age*V3
                   9138:     Tvar[3=V1*V4]=4+1 etc */
1.145     brouard  9139:   Tprod=ivector(1,NCOVMAX); /* Gives the position of a product */
1.137     brouard  9140:   /* Tprod[k1=1]=3(=V1*V4) for V2+V1+V1*V4+age*V3
                   9141:      if  V2+V1+V1*V4+age*V3+V3*V2   TProd[k1=2]=5 (V3*V2)
                   9142:   */
1.145     brouard  9143:   Tvaraff=ivector(1,NCOVMAX); /* Unclear */
                   9144:   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  9145:                            * For V3*V2 (in V2+V1+V1*V4+age*V3+V3*V2), V3*V2 position is 2nd. 
                   9146:                            * Tvard[k1=2][1]=3 (V3) Tvard[k1=2][2]=2(V2) */
1.145     brouard  9147:   Tage=ivector(1,NCOVMAX); /* Gives the covariate id of covariates associated with age: V2 + V1 + age*V4 + V3*age
1.137     brouard  9148:                         4 covariates (3 plus signs)
                   9149:                         Tage[1=V3*age]= 4; Tage[2=age*V4] = 3
                   9150:                      */  
1.136     brouard  9151: 
1.186     brouard  9152: /* Main decodemodel */
                   9153: 
1.187     brouard  9154: 
1.223     brouard  9155:   if(decodemodel(model, lastobs) == 1) /* In order to get Tvar[k] V4+V3+V5 p Tvar[1]@3  = {4, 3, 5}*/
1.136     brouard  9156:     goto end;
                   9157: 
1.137     brouard  9158:   if((double)(lastobs-imx)/(double)imx > 1.10){
                   9159:     nbwarn++;
                   9160:     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); 
                   9161:     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); 
                   9162:   }
1.136     brouard  9163:     /*  if(mle==1){*/
1.137     brouard  9164:   if (weightopt != 1) { /* Maximisation without weights. We can have weights different from 1 but want no weight*/
                   9165:     for(i=1;i<=imx;i++) weight[i]=1.0; /* changed to imx */
1.136     brouard  9166:   }
                   9167: 
                   9168:     /*-calculation of age at interview from date of interview and age at death -*/
                   9169:   agev=matrix(1,maxwav,1,imx);
                   9170: 
                   9171:   if(calandcheckages(imx, maxwav, &agemin, &agemax, &nberr, &nbwarn) == 1)
                   9172:     goto end;
                   9173: 
1.126     brouard  9174: 
1.136     brouard  9175:   agegomp=(int)agemin;
                   9176:   free_vector(moisnais,1,n);
                   9177:   free_vector(annais,1,n);
1.126     brouard  9178:   /* free_matrix(mint,1,maxwav,1,n);
                   9179:      free_matrix(anint,1,maxwav,1,n);*/
1.215     brouard  9180:   /* free_vector(moisdc,1,n); */
                   9181:   /* free_vector(andc,1,n); */
1.145     brouard  9182:   /* */
                   9183:   
1.126     brouard  9184:   wav=ivector(1,imx);
1.214     brouard  9185:   /* dh=imatrix(1,lastpass-firstpass+1,1,imx); */
                   9186:   /* bh=imatrix(1,lastpass-firstpass+1,1,imx); */
                   9187:   /* mw=imatrix(1,lastpass-firstpass+1,1,imx); */
                   9188:   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.*/
                   9189:   bh=imatrix(1,lastpass-firstpass+2,1,imx);
                   9190:   mw=imatrix(1,lastpass-firstpass+2,1,imx);
1.126     brouard  9191:    
                   9192:   /* Concatenates waves */
1.214     brouard  9193:   /* Concatenates waves: wav[i] is the number of effective (useful waves) of individual i.
                   9194:      Death is a valid wave (if date is known).
                   9195:      mw[mi][i] is the number of (mi=1 to wav[i]) effective wave out of mi of individual i
                   9196:      dh[m][i] or dh[mw[mi][i]][i] is the delay between two effective waves m=mw[mi][i]
                   9197:      and mw[mi+1][i]. dh depends on stepm.
                   9198:   */
                   9199: 
1.126     brouard  9200:   concatwav(wav, dh, bh, mw, s, agedc, agev,  firstpass, lastpass, imx, nlstate, stepm);
1.145     brouard  9201:   /* */
                   9202:  
1.215     brouard  9203:   free_vector(moisdc,1,n);
                   9204:   free_vector(andc,1,n);
                   9205: 
1.126     brouard  9206:   /* Routine tricode is to calculate cptcoveff (real number of unique covariates) and to associate covariable number and modality */
                   9207:   nbcode=imatrix(0,NCOVMAX,0,NCOVMAX); 
                   9208:   ncodemax[1]=1;
1.145     brouard  9209:   Ndum =ivector(-1,NCOVMAX);  
1.225   ! brouard  9210:   cptcoveff=0;
1.220     brouard  9211:   if (ncovmodel-nagesqr > 2 ){ /* That is if covariate other than cst, age and age*age */
                   9212:     tricode(&cptcoveff,Tvar,nbcode,imx, Ndum); /**< Fills nbcode[Tvar[j]][l]; */
                   9213:        }
                   9214:        
                   9215:        ncovcombmax=pow(2,cptcoveff);
                   9216:        invalidvarcomb=ivector(1, ncovcombmax); 
                   9217:        for(i=1;i<ncovcombmax;i++)
                   9218:                invalidvarcomb[i]=0;
                   9219: 
1.211     brouard  9220:   /* Nbcode gives the value of the lth modality (currently 1 to 2) of jth covariate, in
1.186     brouard  9221:      V2+V1*age, there are 3 covariates Tvar[2]=1 (V1).*/
1.211     brouard  9222:   /* 1 to ncodemax[j] which is the maximum value of this jth covariate */
1.145     brouard  9223: 
1.200     brouard  9224:   /*  codtab=imatrix(1,100,1,10);*/ /* codtab[h,k]=( (h-1) - mod(k-1,2**(k-1) )/2**(k-1) */
1.198     brouard  9225:   /*printf(" codtab[1,1],codtab[100,10]=%d,%d\n", codtab[1][1],codtabm(100,10));*/
1.186     brouard  9226:   /* codtab gives the value 1 or 2 of the hth combination of k covariates (1 or 2).*/
1.211     brouard  9227:   /* nbcode[Tvaraff[j]][codtabm(h,j)]) : if there are only 2 modalities for a covariate j, 
                   9228:    * codtabm(h,j) gives its value classified at position h and nbcode gives how it is coded 
                   9229:    * (currently 0 or 1) in the data.
                   9230:    * In a loop on h=1 to 2**k, and a loop on j (=1 to k), we get the value of 
                   9231:    * corresponding modality (h,j).
                   9232:    */
                   9233: 
1.145     brouard  9234:   h=0;
                   9235:   /*if (cptcovn > 0) */
1.126     brouard  9236:   m=pow(2,cptcoveff);
                   9237:  
1.144     brouard  9238:          /**< codtab(h,k)  k   = codtab[h,k]=( (h-1) - mod(k-1,2**(k-1) )/2**(k-1) + 1
1.211     brouard  9239:           * For k=4 covariates, h goes from 1 to m=2**k
                   9240:           * codtabm(h,k)=  (1 & (h-1) >> (k-1)) + 1;
                   9241:            * #define codtabm(h,k)  (1 & (h-1) >> (k-1))+1
1.186     brouard  9242:           *     h\k   1     2     3     4
1.143     brouard  9243:           *______________________________  
                   9244:           *     1 i=1 1 i=1 1 i=1 1 i=1 1
                   9245:           *     2     2     1     1     1
                   9246:           *     3 i=2 1     2     1     1
                   9247:           *     4     2     2     1     1
                   9248:           *     5 i=3 1 i=2 1     2     1
                   9249:           *     6     2     1     2     1
                   9250:           *     7 i=4 1     2     2     1
                   9251:           *     8     2     2     2     1
1.197     brouard  9252:           *     9 i=5 1 i=3 1 i=2 1     2
                   9253:           *    10     2     1     1     2
                   9254:           *    11 i=6 1     2     1     2
                   9255:           *    12     2     2     1     2
                   9256:           *    13 i=7 1 i=4 1     2     2    
                   9257:           *    14     2     1     2     2
                   9258:           *    15 i=8 1     2     2     2
                   9259:           *    16     2     2     2     2
1.143     brouard  9260:           */
1.212     brouard  9261:   /* How to do the opposite? From combination h (=1 to 2**k) how to get the value on the covariates? */
1.211     brouard  9262:      /* from h=5 and m, we get then number of covariates k=log(m)/log(2)=4
                   9263:      * and the value of each covariate?
                   9264:      * V1=1, V2=1, V3=2, V4=1 ?
                   9265:      * h-1=4 and 4 is 0100 or reverse 0010, and +1 is 1121 ok.
                   9266:      * h=6, 6-1=5, 5 is 0101, 1010, 2121, V1=2nd, V2=1st, V3=2nd, V4=1st.
                   9267:      * In order to get the real value in the data, we use nbcode
                   9268:      * nbcode[Tvar[3][2nd]]=1 and nbcode[Tvar[4][1]]=0
                   9269:      * We are keeping this crazy system in order to be able (in the future?) 
                   9270:      * to have more than 2 values (0 or 1) for a covariate.
                   9271:      * #define codtabm(h,k)  (1 & (h-1) >> (k-1))+1
                   9272:      * h=6, k=2? h-1=5=0101, reverse 1010, +1=2121, k=2nd position: value is 1: codtabm(6,2)=1
                   9273:      *              bbbbbbbb
                   9274:      *              76543210     
                   9275:      *   h-1        00000101 (6-1=5)
1.219     brouard  9276:      *(h-1)>>(k-1)= 00000010 >> (2-1) = 1 right shift
1.211     brouard  9277:      *           &
                   9278:      *     1        00000001 (1)
1.219     brouard  9279:      *              00000000        = 1 & ((h-1) >> (k-1))
                   9280:      *          +1= 00000001 =1 
1.211     brouard  9281:      *
                   9282:      * h=14, k=3 => h'=h-1=13, k'=k-1=2
                   9283:      *          h'      1101 =2^3+2^2+0x2^1+2^0
                   9284:      *    >>k'            11
                   9285:      *          &   00000001
                   9286:      *            = 00000001
                   9287:      *      +1    = 00000010=2    =  codtabm(14,3)   
                   9288:      * Reverse h=6 and m=16?
                   9289:      * cptcoveff=log(16)/log(2)=4 covariate: 6-1=5=0101 reversed=1010 +1=2121 =>V1=2, V2=1, V3=2, V4=1.
                   9290:      * for (j=1 to cptcoveff) Vj=decodtabm(j,h,cptcoveff)
                   9291:      * decodtabm(h,j,cptcoveff)= (((h-1) >> (j-1)) & 1) +1 
                   9292:      * decodtabm(h,j,cptcoveff)= (h <= (1<<cptcoveff)?(((h-1) >> (j-1)) & 1) +1 : -1)
                   9293:      * V3=decodtabm(14,3,2**4)=2
                   9294:      *          h'=13   1101 =2^3+2^2+0x2^1+2^0
                   9295:      *(h-1) >> (j-1)    0011 =13 >> 2
                   9296:      *          &1 000000001
                   9297:      *           = 000000001
                   9298:      *         +1= 000000010 =2
                   9299:      *                  2211
                   9300:      *                  V1=1+1, V2=0+1, V3=1+1, V4=1+1
                   9301:      *                  V3=2
1.220     brouard  9302:                 * codtabm and decodtabm are identical
1.211     brouard  9303:      */
                   9304: 
1.145     brouard  9305: 
                   9306:  free_ivector(Ndum,-1,NCOVMAX);
                   9307: 
                   9308: 
1.126     brouard  9309:     
1.186     brouard  9310:   /* Initialisation of ----------- gnuplot -------------*/
1.126     brouard  9311:   strcpy(optionfilegnuplot,optionfilefiname);
                   9312:   if(mle==-3)
1.201     brouard  9313:     strcat(optionfilegnuplot,"-MORT_");
1.126     brouard  9314:   strcat(optionfilegnuplot,".gp");
                   9315: 
                   9316:   if((ficgp=fopen(optionfilegnuplot,"w"))==NULL) {
                   9317:     printf("Problem with file %s",optionfilegnuplot);
                   9318:   }
                   9319:   else{
1.204     brouard  9320:     fprintf(ficgp,"\n# IMaCh-%s\n", version); 
1.126     brouard  9321:     fprintf(ficgp,"# %s\n", optionfilegnuplot); 
1.141     brouard  9322:     //fprintf(ficgp,"set missing 'NaNq'\n");
                   9323:     fprintf(ficgp,"set datafile missing 'NaNq'\n");
1.126     brouard  9324:   }
                   9325:   /*  fclose(ficgp);*/
1.186     brouard  9326: 
                   9327: 
                   9328:   /* Initialisation of --------- index.htm --------*/
1.126     brouard  9329: 
                   9330:   strcpy(optionfilehtm,optionfilefiname); /* Main html file */
                   9331:   if(mle==-3)
1.201     brouard  9332:     strcat(optionfilehtm,"-MORT_");
1.126     brouard  9333:   strcat(optionfilehtm,".htm");
                   9334:   if((fichtm=fopen(optionfilehtm,"w"))==NULL)    {
1.131     brouard  9335:     printf("Problem with %s \n",optionfilehtm);
                   9336:     exit(0);
1.126     brouard  9337:   }
                   9338: 
                   9339:   strcpy(optionfilehtmcov,optionfilefiname); /* Only for matrix of covariance */
                   9340:   strcat(optionfilehtmcov,"-cov.htm");
                   9341:   if((fichtmcov=fopen(optionfilehtmcov,"w"))==NULL)    {
                   9342:     printf("Problem with %s \n",optionfilehtmcov), exit(0);
                   9343:   }
                   9344:   else{
                   9345:   fprintf(fichtmcov,"<html><head>\n<title>IMaCh Cov %s</title></head>\n <body><font size=\"2\">%s <br> %s</font> \
                   9346: <hr size=\"2\" color=\"#EC5E5E\"> \n\
1.204     brouard  9347: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s<br>\n",\
1.126     brouard  9348:          optionfilehtmcov,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);
                   9349:   }
                   9350: 
1.213     brouard  9351:   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  9352: <hr size=\"2\" color=\"#EC5E5E\"> \n\
                   9353: <font size=\"2\">IMaCh-%s <br> %s</font> \
1.126     brouard  9354: <hr size=\"2\" color=\"#EC5E5E\"> \n\
1.204     brouard  9355: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s<br>\n\
1.126     brouard  9356: \n\
                   9357: <hr  size=\"2\" color=\"#EC5E5E\">\
                   9358:  <ul><li><h4>Parameter files</h4>\n\
                   9359:  - Parameter file: <a href=\"%s.%s\">%s.%s</a><br>\n\
                   9360:  - Copy of the parameter file: <a href=\"o%s\">o%s</a><br>\n\
                   9361:  - Log file of the run: <a href=\"%s\">%s</a><br>\n\
                   9362:  - Gnuplot file name: <a href=\"%s\">%s</a><br>\n\
                   9363:  - Date and time at start: %s</ul>\n",\
                   9364:          optionfilehtm,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model,\
                   9365:          optionfilefiname,optionfilext,optionfilefiname,optionfilext,\
                   9366:          fileres,fileres,\
                   9367:          filelog,filelog,optionfilegnuplot,optionfilegnuplot,strstart);
                   9368:   fflush(fichtm);
                   9369: 
                   9370:   strcpy(pathr,path);
                   9371:   strcat(pathr,optionfilefiname);
1.184     brouard  9372: #ifdef WIN32
                   9373:   _chdir(optionfilefiname); /* Move to directory named optionfile */
                   9374: #else
1.126     brouard  9375:   chdir(optionfilefiname); /* Move to directory named optionfile */
1.184     brouard  9376: #endif
                   9377:          
1.126     brouard  9378:   
1.220     brouard  9379:   /* Calculates basic frequencies. Computes observed prevalence at single age 
                   9380:                 and for any valid combination of covariates
1.126     brouard  9381:      and prints on file fileres'p'. */
1.220     brouard  9382:   freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx, Tvaraff, invalidvarcomb, nbcode, ncodemax,mint,anint,strstart,   \
1.223     brouard  9383:                                                        firstpass, lastpass,  stepm,  weightopt, model);
1.126     brouard  9384: 
                   9385:   fprintf(fichtm,"\n");
                   9386:   fprintf(fichtm,"<br>Total number of observations=%d <br>\n\
                   9387: Youngest age at first (selected) pass %.2f, oldest age %.2f<br>\n\
                   9388: Interval (in months) between two waves: Min=%d Max=%d Mean=%.2lf<br>\n",\
                   9389:          imx,agemin,agemax,jmin,jmax,jmean);
                   9390:   pmmij= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
1.220     brouard  9391:        oldms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
                   9392:        newms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
                   9393:        savms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
                   9394:        oldm=oldms; newm=newms; savm=savms; /* Keeps fixed addresses to free */
1.218     brouard  9395: 
1.126     brouard  9396:   /* For Powell, parameters are in a vector p[] starting at p[1]
                   9397:      so we point p on param[1][1] so that p[1] maps on param[1][1][1] */
                   9398:   p=param[1][1]; /* *(*(*(param +1)+1)+0) */
                   9399: 
                   9400:   globpr=0; /* To get the number ipmx of contributions and the sum of weights*/
1.186     brouard  9401:   /* For mortality only */
1.126     brouard  9402:   if (mle==-3){
1.136     brouard  9403:     ximort=matrix(1,NDIM,1,NDIM); 
1.220     brouard  9404:                for(i=1;i<=NDIM;i++)
                   9405:                        for(j=1;j<=NDIM;j++)
                   9406:                                ximort[i][j]=0.;
1.186     brouard  9407:     /*     ximort=gsl_matrix_alloc(1,NDIM,1,NDIM); */
1.126     brouard  9408:     cens=ivector(1,n);
                   9409:     ageexmed=vector(1,n);
                   9410:     agecens=vector(1,n);
                   9411:     dcwave=ivector(1,n);
1.223     brouard  9412:                
1.126     brouard  9413:     for (i=1; i<=imx; i++){
                   9414:       dcwave[i]=-1;
                   9415:       for (m=firstpass; m<=lastpass; m++)
1.218     brouard  9416:                                if (s[m][i]>nlstate) {
                   9417:                                        dcwave[i]=m;
                   9418:                                        /*      printf("i=%d j=%d s=%d dcwave=%d\n",i,j, s[j][i],dcwave[i]);*/
                   9419:                                        break;
                   9420:                                }
1.126     brouard  9421:     }
1.218     brouard  9422:                
1.126     brouard  9423:     for (i=1; i<=imx; i++) {
                   9424:       if (wav[i]>0){
1.218     brouard  9425:                                ageexmed[i]=agev[mw[1][i]][i];
                   9426:                                j=wav[i];
                   9427:                                agecens[i]=1.; 
                   9428:                                
                   9429:                                if (ageexmed[i]> 1 && wav[i] > 0){
                   9430:                                        agecens[i]=agev[mw[j][i]][i];
                   9431:                                        cens[i]= 1;
                   9432:                                }else if (ageexmed[i]< 1) 
                   9433:                                        cens[i]= -1;
                   9434:                                if (agedc[i]< AGESUP && agedc[i]>1 && dcwave[i]>firstpass && dcwave[i]<=lastpass)
                   9435:                                        cens[i]=0 ;
1.126     brouard  9436:       }
                   9437:       else cens[i]=-1;
                   9438:     }
                   9439:     
                   9440:     for (i=1;i<=NDIM;i++) {
                   9441:       for (j=1;j<=NDIM;j++)
1.218     brouard  9442:                                ximort[i][j]=(i == j ? 1.0 : 0.0);
1.126     brouard  9443:     }
                   9444:     
1.145     brouard  9445:     /*p[1]=0.0268; p[NDIM]=0.083;*/
1.126     brouard  9446:     /*printf("%lf %lf", p[1], p[2]);*/
                   9447:     
                   9448:     
1.136     brouard  9449: #ifdef GSL
                   9450:     printf("GSL optimization\n");  fprintf(ficlog,"Powell\n");
1.162     brouard  9451: #else
1.126     brouard  9452:     printf("Powell\n");  fprintf(ficlog,"Powell\n");
1.136     brouard  9453: #endif
1.201     brouard  9454:     strcpy(filerespow,"POW-MORT_"); 
                   9455:     strcat(filerespow,fileresu);
1.126     brouard  9456:     if((ficrespow=fopen(filerespow,"w"))==NULL) {
                   9457:       printf("Problem with resultfile: %s\n", filerespow);
                   9458:       fprintf(ficlog,"Problem with resultfile: %s\n", filerespow);
                   9459:     }
1.136     brouard  9460: #ifdef GSL
                   9461:     fprintf(ficrespow,"# GSL optimization\n# iter -2*LL");
1.162     brouard  9462: #else
1.126     brouard  9463:     fprintf(ficrespow,"# Powell\n# iter -2*LL");
1.136     brouard  9464: #endif
1.126     brouard  9465:     /*  for (i=1;i<=nlstate;i++)
                   9466:        for(j=1;j<=nlstate+ndeath;j++)
                   9467:        if(j!=i)fprintf(ficrespow," p%1d%1d",i,j);
                   9468:     */
                   9469:     fprintf(ficrespow,"\n");
1.136     brouard  9470: #ifdef GSL
                   9471:     /* gsl starts here */ 
                   9472:     T = gsl_multimin_fminimizer_nmsimplex;
                   9473:     gsl_multimin_fminimizer *sfm = NULL;
                   9474:     gsl_vector *ss, *x;
                   9475:     gsl_multimin_function minex_func;
                   9476: 
                   9477:     /* Initial vertex size vector */
                   9478:     ss = gsl_vector_alloc (NDIM);
                   9479:     
                   9480:     if (ss == NULL){
                   9481:       GSL_ERROR_VAL ("failed to allocate space for ss", GSL_ENOMEM, 0);
                   9482:     }
                   9483:     /* Set all step sizes to 1 */
                   9484:     gsl_vector_set_all (ss, 0.001);
                   9485: 
                   9486:     /* Starting point */
1.126     brouard  9487:     
1.136     brouard  9488:     x = gsl_vector_alloc (NDIM);
                   9489:     
                   9490:     if (x == NULL){
                   9491:       gsl_vector_free(ss);
                   9492:       GSL_ERROR_VAL ("failed to allocate space for x", GSL_ENOMEM, 0);
                   9493:     }
                   9494:   
                   9495:     /* Initialize method and iterate */
                   9496:     /*     p[1]=0.0268; p[NDIM]=0.083; */
1.186     brouard  9497:     /*     gsl_vector_set(x, 0, 0.0268); */
                   9498:     /*     gsl_vector_set(x, 1, 0.083); */
1.136     brouard  9499:     gsl_vector_set(x, 0, p[1]);
                   9500:     gsl_vector_set(x, 1, p[2]);
                   9501: 
                   9502:     minex_func.f = &gompertz_f;
                   9503:     minex_func.n = NDIM;
                   9504:     minex_func.params = (void *)&p; /* ??? */
                   9505:     
                   9506:     sfm = gsl_multimin_fminimizer_alloc (T, NDIM);
                   9507:     gsl_multimin_fminimizer_set (sfm, &minex_func, x, ss);
                   9508:     
                   9509:     printf("Iterations beginning .....\n\n");
                   9510:     printf("Iter. #    Intercept       Slope     -Log Likelihood     Simplex size\n");
                   9511: 
                   9512:     iteri=0;
                   9513:     while (rval == GSL_CONTINUE){
                   9514:       iteri++;
                   9515:       status = gsl_multimin_fminimizer_iterate(sfm);
                   9516:       
                   9517:       if (status) printf("error: %s\n", gsl_strerror (status));
                   9518:       fflush(0);
                   9519:       
                   9520:       if (status) 
                   9521:         break;
                   9522:       
                   9523:       rval = gsl_multimin_test_size (gsl_multimin_fminimizer_size (sfm), 1e-6);
                   9524:       ssval = gsl_multimin_fminimizer_size (sfm);
                   9525:       
                   9526:       if (rval == GSL_SUCCESS)
                   9527:         printf ("converged to a local maximum at\n");
                   9528:       
                   9529:       printf("%5d ", iteri);
                   9530:       for (it = 0; it < NDIM; it++){
                   9531:        printf ("%10.5f ", gsl_vector_get (sfm->x, it));
                   9532:       }
                   9533:       printf("f() = %-10.5f ssize = %.7f\n", sfm->fval, ssval);
                   9534:     }
                   9535:     
                   9536:     printf("\n\n Please note: Program should be run many times with varying starting points to detemine global maximum\n\n");
                   9537:     
                   9538:     gsl_vector_free(x); /* initial values */
                   9539:     gsl_vector_free(ss); /* inital step size */
                   9540:     for (it=0; it<NDIM; it++){
                   9541:       p[it+1]=gsl_vector_get(sfm->x,it);
                   9542:       fprintf(ficrespow," %.12lf", p[it]);
                   9543:     }
                   9544:     gsl_multimin_fminimizer_free (sfm); /* p *(sfm.x.data) et p *(sfm.x.data+1)  */
                   9545: #endif
                   9546: #ifdef POWELL
                   9547:      powell(p,ximort,NDIM,ftol,&iter,&fret,gompertz);
                   9548: #endif  
1.126     brouard  9549:     fclose(ficrespow);
                   9550:     
1.203     brouard  9551:     hesscov(matcov, hess, p, NDIM, delti, 1e-4, gompertz); 
1.126     brouard  9552: 
                   9553:     for(i=1; i <=NDIM; i++)
                   9554:       for(j=i+1;j<=NDIM;j++)
1.220     brouard  9555:                                matcov[i][j]=matcov[j][i];
1.126     brouard  9556:     
                   9557:     printf("\nCovariance matrix\n ");
1.203     brouard  9558:     fprintf(ficlog,"\nCovariance matrix\n ");
1.126     brouard  9559:     for(i=1; i <=NDIM; i++) {
                   9560:       for(j=1;j<=NDIM;j++){ 
1.220     brouard  9561:                                printf("%f ",matcov[i][j]);
                   9562:                                fprintf(ficlog,"%f ",matcov[i][j]);
1.126     brouard  9563:       }
1.203     brouard  9564:       printf("\n ");  fprintf(ficlog,"\n ");
1.126     brouard  9565:     }
                   9566:     
                   9567:     printf("iter=%d MLE=%f Eq=%lf*exp(%lf*(age-%d))\n",iter,-gompertz(p),p[1],p[2],agegomp);
1.193     brouard  9568:     for (i=1;i<=NDIM;i++) {
1.126     brouard  9569:       printf("%f [%f ; %f]\n",p[i],p[i]-2*sqrt(matcov[i][i]),p[i]+2*sqrt(matcov[i][i]));
1.193     brouard  9570:       fprintf(ficlog,"%f [%f ; %f]\n",p[i],p[i]-2*sqrt(matcov[i][i]),p[i]+2*sqrt(matcov[i][i]));
                   9571:     }
1.126     brouard  9572:     lsurv=vector(1,AGESUP);
                   9573:     lpop=vector(1,AGESUP);
                   9574:     tpop=vector(1,AGESUP);
                   9575:     lsurv[agegomp]=100000;
                   9576:     
                   9577:     for (k=agegomp;k<=AGESUP;k++) {
                   9578:       agemortsup=k;
                   9579:       if (p[1]*exp(p[2]*(k-agegomp))>1) break;
                   9580:     }
                   9581:     
                   9582:     for (k=agegomp;k<agemortsup;k++)
                   9583:       lsurv[k+1]=lsurv[k]-lsurv[k]*(p[1]*exp(p[2]*(k-agegomp)));
                   9584:     
                   9585:     for (k=agegomp;k<agemortsup;k++){
                   9586:       lpop[k]=(lsurv[k]+lsurv[k+1])/2.;
                   9587:       sumlpop=sumlpop+lpop[k];
                   9588:     }
                   9589:     
                   9590:     tpop[agegomp]=sumlpop;
                   9591:     for (k=agegomp;k<(agemortsup-3);k++){
                   9592:       /*  tpop[k+1]=2;*/
                   9593:       tpop[k+1]=tpop[k]-lpop[k];
                   9594:     }
                   9595:     
                   9596:     
                   9597:     printf("\nAge   lx     qx    dx    Lx     Tx     e(x)\n");
                   9598:     for (k=agegomp;k<(agemortsup-2);k++) 
                   9599:       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]);
                   9600:     
                   9601:     
                   9602:     replace_back_to_slash(pathc,pathcd); /* Even gnuplot wants a / */
1.220     brouard  9603:                ageminpar=50;
                   9604:                agemaxpar=100;
1.194     brouard  9605:     if(ageminpar == AGEOVERFLOW ||agemaxpar == AGEOVERFLOW){
                   9606:        printf("Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
                   9607: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   9608: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
                   9609:        fprintf(ficlog,"Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
                   9610: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   9611: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
1.220     brouard  9612:     }else{
                   9613:                        printf("Warning! ageminpar %f and agemaxpar %f have been fixed because for simplification until it is fixed...\n\n",ageminpar,agemaxpar);
                   9614:                        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  9615:       printinggnuplotmort(fileresu, optionfilefiname,ageminpar,agemaxpar,fage, pathc,p);
1.220     brouard  9616:                }
1.201     brouard  9617:     printinghtmlmort(fileresu,title,datafile, firstpass, lastpass, \
1.126     brouard  9618:                     stepm, weightopt,\
                   9619:                     model,imx,p,matcov,agemortsup);
                   9620:     
                   9621:     free_vector(lsurv,1,AGESUP);
                   9622:     free_vector(lpop,1,AGESUP);
                   9623:     free_vector(tpop,1,AGESUP);
1.220     brouard  9624:     free_matrix(ximort,1,NDIM,1,NDIM);
1.136     brouard  9625:     free_ivector(cens,1,n);
                   9626:     free_vector(agecens,1,n);
                   9627:     free_ivector(dcwave,1,n);
1.220     brouard  9628: #ifdef GSL
1.136     brouard  9629: #endif
1.186     brouard  9630:   } /* Endof if mle==-3 mortality only */
1.205     brouard  9631:   /* Standard  */
                   9632:   else{ /* For mle !=- 3, could be 0 or 1 or 4 etc. */
                   9633:     globpr=0;/* Computes sum of likelihood for globpr=1 and funcone */
                   9634:     /* Computes likelihood for initial parameters, uses funcone to compute gpimx and gsw */
1.132     brouard  9635:     likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
1.126     brouard  9636:     printf("First Likeli=%12.6f ipmx=%ld sw=%12.6f",fretone,ipmx,sw);
                   9637:     for (k=1; k<=npar;k++)
                   9638:       printf(" %d %8.5f",k,p[k]);
                   9639:     printf("\n");
1.205     brouard  9640:     if(mle>=1){ /* Could be 1 or 2, Real Maximization */
                   9641:       /* mlikeli uses func not funcone */
                   9642:       mlikeli(ficres,p, npar, ncovmodel, nlstate, ftol, func);
                   9643:     }
                   9644:     if(mle==0) {/* No optimization, will print the likelihoods for the datafile */
                   9645:       globpr=0;/* Computes sum of likelihood for globpr=1 and funcone */
                   9646:       /* Computes likelihood for initial parameters, uses funcone to compute gpimx and gsw */
                   9647:       likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
                   9648:     }
                   9649:     globpr=1; /* again, to print the individual contributions using computed gpimx and gsw */
1.126     brouard  9650:     likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
                   9651:     printf("Second Likeli=%12.6f ipmx=%ld sw=%12.6f",fretone,ipmx,sw);
                   9652:     for (k=1; k<=npar;k++)
                   9653:       printf(" %d %8.5f",k,p[k]);
                   9654:     printf("\n");
                   9655:     
                   9656:     /*--------- results files --------------*/
1.224     brouard  9657:     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  9658:     
                   9659:     
                   9660:     fprintf(ficres,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   9661:     printf("# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   9662:     fprintf(ficlog,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   9663:     for(i=1,jk=1; i <=nlstate; i++){
                   9664:       for(k=1; k <=(nlstate+ndeath); k++){
1.225   ! brouard  9665:        if (k != i) {
        !          9666:          printf("%d%d ",i,k);
        !          9667:          fprintf(ficlog,"%d%d ",i,k);
        !          9668:          fprintf(ficres,"%1d%1d ",i,k);
        !          9669:          for(j=1; j <=ncovmodel; j++){
        !          9670:            printf("%12.7f ",p[jk]);
        !          9671:            fprintf(ficlog,"%12.7f ",p[jk]);
        !          9672:            fprintf(ficres,"%12.7f ",p[jk]);
        !          9673:            jk++; 
        !          9674:          }
        !          9675:          printf("\n");
        !          9676:          fprintf(ficlog,"\n");
        !          9677:          fprintf(ficres,"\n");
        !          9678:        }
1.126     brouard  9679:       }
                   9680:     }
1.203     brouard  9681:     if(mle != 0){
                   9682:       /* Computing hessian and covariance matrix only at a peak of the Likelihood, that is after optimization */
1.126     brouard  9683:       ftolhess=ftol; /* Usually correct */
1.203     brouard  9684:       hesscov(matcov, hess, p, npar, delti, ftolhess, func);
                   9685:       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");
                   9686:       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");
                   9687:       for(i=1,jk=1; i <=nlstate; i++){
1.225   ! brouard  9688:        for(k=1; k <=(nlstate+ndeath); k++){
        !          9689:          if (k != i) {
        !          9690:            printf("%d%d ",i,k);
        !          9691:            fprintf(ficlog,"%d%d ",i,k);
        !          9692:            for(j=1; j <=ncovmodel; j++){
        !          9693:              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]));
        !          9694:              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]));
        !          9695:              jk++; 
        !          9696:            }
        !          9697:            printf("\n");
        !          9698:            fprintf(ficlog,"\n");
        !          9699:          }
        !          9700:        }
1.193     brouard  9701:       }
1.203     brouard  9702:     } /* end of hesscov and Wald tests */
1.225   ! brouard  9703:     
1.203     brouard  9704:     /*  */
1.126     brouard  9705:     fprintf(ficres,"# Scales (for hessian or gradient estimation)\n");
                   9706:     printf("# Scales (for hessian or gradient estimation)\n");
                   9707:     fprintf(ficlog,"# Scales (for hessian or gradient estimation)\n");
                   9708:     for(i=1,jk=1; i <=nlstate; i++){
                   9709:       for(j=1; j <=nlstate+ndeath; j++){
1.225   ! brouard  9710:        if (j!=i) {
        !          9711:          fprintf(ficres,"%1d%1d",i,j);
        !          9712:          printf("%1d%1d",i,j);
        !          9713:          fprintf(ficlog,"%1d%1d",i,j);
        !          9714:          for(k=1; k<=ncovmodel;k++){
        !          9715:            printf(" %.5e",delti[jk]);
        !          9716:            fprintf(ficlog," %.5e",delti[jk]);
        !          9717:            fprintf(ficres," %.5e",delti[jk]);
        !          9718:            jk++;
        !          9719:          }
        !          9720:          printf("\n");
        !          9721:          fprintf(ficlog,"\n");
        !          9722:          fprintf(ficres,"\n");
        !          9723:        }
1.126     brouard  9724:       }
                   9725:     }
                   9726:     
                   9727:     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  9728:     if(mle >= 1) /* To big for the screen */
1.126     brouard  9729:       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");
                   9730:     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");
                   9731:     /* # 121 Var(a12)\n\ */
                   9732:     /* # 122 Cov(b12,a12) Var(b12)\n\ */
                   9733:     /* # 131 Cov(a13,a12) Cov(a13,b12, Var(a13)\n\ */
                   9734:     /* # 132 Cov(b13,a12) Cov(b13,b12, Cov(b13,a13) Var(b13)\n\ */
                   9735:     /* # 212 Cov(a21,a12) Cov(a21,b12, Cov(a21,a13) Cov(a21,b13) Var(a21)\n\ */
                   9736:     /* # 212 Cov(b21,a12) Cov(b21,b12, Cov(b21,a13) Cov(b21,b13) Cov(b21,a21) Var(b21)\n\ */
                   9737:     /* # 232 Cov(a23,a12) Cov(a23,b12, Cov(a23,a13) Cov(a23,b13) Cov(a23,a21) Cov(a23,b21) Var(a23)\n\ */
                   9738:     /* # 232 Cov(b23,a12) Cov(b23,b12) ... Var (b23)\n" */
                   9739:     
                   9740:     
                   9741:     /* Just to have a covariance matrix which will be more understandable
                   9742:        even is we still don't want to manage dictionary of variables
                   9743:     */
                   9744:     for(itimes=1;itimes<=2;itimes++){
                   9745:       jj=0;
                   9746:       for(i=1; i <=nlstate; i++){
1.225   ! brouard  9747:        for(j=1; j <=nlstate+ndeath; j++){
        !          9748:          if(j==i) continue;
        !          9749:          for(k=1; k<=ncovmodel;k++){
        !          9750:            jj++;
        !          9751:            ca[0]= k+'a'-1;ca[1]='\0';
        !          9752:            if(itimes==1){
        !          9753:              if(mle>=1)
        !          9754:                printf("#%1d%1d%d",i,j,k);
        !          9755:              fprintf(ficlog,"#%1d%1d%d",i,j,k);
        !          9756:              fprintf(ficres,"#%1d%1d%d",i,j,k);
        !          9757:            }else{
        !          9758:              if(mle>=1)
        !          9759:                printf("%1d%1d%d",i,j,k);
        !          9760:              fprintf(ficlog,"%1d%1d%d",i,j,k);
        !          9761:              fprintf(ficres,"%1d%1d%d",i,j,k);
        !          9762:            }
        !          9763:            ll=0;
        !          9764:            for(li=1;li <=nlstate; li++){
        !          9765:              for(lj=1;lj <=nlstate+ndeath; lj++){
        !          9766:                if(lj==li) continue;
        !          9767:                for(lk=1;lk<=ncovmodel;lk++){
        !          9768:                  ll++;
        !          9769:                  if(ll<=jj){
        !          9770:                    cb[0]= lk +'a'-1;cb[1]='\0';
        !          9771:                    if(ll<jj){
        !          9772:                      if(itimes==1){
        !          9773:                        if(mle>=1)
        !          9774:                          printf(" Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
        !          9775:                        fprintf(ficlog," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
        !          9776:                        fprintf(ficres," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
        !          9777:                      }else{
        !          9778:                        if(mle>=1)
        !          9779:                          printf(" %.5e",matcov[jj][ll]); 
        !          9780:                        fprintf(ficlog," %.5e",matcov[jj][ll]); 
        !          9781:                        fprintf(ficres," %.5e",matcov[jj][ll]); 
        !          9782:                      }
        !          9783:                    }else{
        !          9784:                      if(itimes==1){
        !          9785:                        if(mle>=1)
        !          9786:                          printf(" Var(%s%1d%1d)",ca,i,j);
        !          9787:                        fprintf(ficlog," Var(%s%1d%1d)",ca,i,j);
        !          9788:                        fprintf(ficres," Var(%s%1d%1d)",ca,i,j);
        !          9789:                      }else{
        !          9790:                        if(mle>=1)
        !          9791:                          printf(" %.7e",matcov[jj][ll]); 
        !          9792:                        fprintf(ficlog," %.7e",matcov[jj][ll]); 
        !          9793:                        fprintf(ficres," %.7e",matcov[jj][ll]); 
        !          9794:                      }
        !          9795:                    }
        !          9796:                  }
        !          9797:                } /* end lk */
        !          9798:              } /* end lj */
        !          9799:            } /* end li */
        !          9800:            if(mle>=1)
        !          9801:              printf("\n");
        !          9802:            fprintf(ficlog,"\n");
        !          9803:            fprintf(ficres,"\n");
        !          9804:            numlinepar++;
        !          9805:          } /* end k*/
        !          9806:        } /*end j */
1.126     brouard  9807:       } /* end i */
                   9808:     } /* end itimes */
                   9809:     
                   9810:     fflush(ficlog);
                   9811:     fflush(ficres);
1.225   ! brouard  9812:     while(fgets(line, MAXLINE, ficpar)) {
        !          9813:       /* If line starts with a # it is a comment */
        !          9814:       if (line[0] == '#') {
        !          9815:        numlinepar++;
        !          9816:        fputs(line,stdout);
        !          9817:        fputs(line,ficparo);
        !          9818:        fputs(line,ficlog);
        !          9819:        continue;
        !          9820:       }else
        !          9821:        break;
        !          9822:     }
        !          9823:     
1.209     brouard  9824:     /* while((c=getc(ficpar))=='#' && c!= EOF){ */
                   9825:     /*   ungetc(c,ficpar); */
                   9826:     /*   fgets(line, MAXLINE, ficpar); */
                   9827:     /*   fputs(line,stdout); */
                   9828:     /*   fputs(line,ficparo); */
                   9829:     /* } */
                   9830:     /* ungetc(c,ficpar); */
1.126     brouard  9831:     
                   9832:     estepm=0;
1.209     brouard  9833:     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  9834:       
        !          9835:       if (num_filled != 6) {
        !          9836:        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);
        !          9837:        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);
        !          9838:        goto end;
        !          9839:       }
        !          9840:       printf("agemin=%lf agemax=%lf bage=%lf fage=%lf estepm=%d ftolpl=%lf\n",ageminpar,agemaxpar, bage, fage, estepm, ftolpl);
        !          9841:     }
        !          9842:     /* ftolpl=6*ftol*1.e5; /\* 6.e-3 make convergences in less than 80 loops for the prevalence limit *\/ */
        !          9843:     /*ftolpl=6.e-4;*/ /* 6.e-3 make convergences in less than 80 loops for the prevalence limit */
        !          9844:     
1.209     brouard  9845:     /* fscanf(ficpar,"agemin=%lf agemax=%lf bage=%lf fage=%lf estepm=%d ftolpl=%\n",&ageminpar,&agemaxpar, &bage, &fage, &estepm); */
1.126     brouard  9846:     if (estepm==0 || estepm < stepm) estepm=stepm;
                   9847:     if (fage <= 2) {
                   9848:       bage = ageminpar;
                   9849:       fage = agemaxpar;
                   9850:     }
                   9851:     
                   9852:     fprintf(ficres,"# agemin agemax for life expectancy, bage fage (if mle==0 ie no data nor Max likelihood).\n");
1.211     brouard  9853:     fprintf(ficres,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d ftolpl=%e\n",ageminpar,agemaxpar,bage,fage, estepm, ftolpl);
                   9854:     fprintf(ficparo,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d, ftolpl=%e\n",ageminpar,agemaxpar,bage,fage, estepm, ftolpl);
1.220     brouard  9855:                
1.186     brouard  9856:     /* Other stuffs, more or less useful */    
1.126     brouard  9857:     while((c=getc(ficpar))=='#' && c!= EOF){
                   9858:       ungetc(c,ficpar);
                   9859:       fgets(line, MAXLINE, ficpar);
1.141     brouard  9860:       fputs(line,stdout);
1.126     brouard  9861:       fputs(line,ficparo);
                   9862:     }
                   9863:     ungetc(c,ficpar);
                   9864:     
                   9865:     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);
                   9866:     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);
                   9867:     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);
                   9868:     printf("begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf mov_average=%d\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,mobilav);
                   9869:     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);
                   9870:     
                   9871:     while((c=getc(ficpar))=='#' && c!= EOF){
                   9872:       ungetc(c,ficpar);
                   9873:       fgets(line, MAXLINE, ficpar);
1.141     brouard  9874:       fputs(line,stdout);
1.126     brouard  9875:       fputs(line,ficparo);
                   9876:     }
                   9877:     ungetc(c,ficpar);
                   9878:     
                   9879:     
                   9880:     dateprev1=anprev1+(mprev1-1)/12.+(jprev1-1)/365.;
                   9881:     dateprev2=anprev2+(mprev2-1)/12.+(jprev2-1)/365.;
                   9882:     
                   9883:     fscanf(ficpar,"pop_based=%d\n",&popbased);
1.193     brouard  9884:     fprintf(ficlog,"pop_based=%d\n",popbased);
1.126     brouard  9885:     fprintf(ficparo,"pop_based=%d\n",popbased);   
                   9886:     fprintf(ficres,"pop_based=%d\n",popbased);   
                   9887:     
                   9888:     while((c=getc(ficpar))=='#' && c!= EOF){
                   9889:       ungetc(c,ficpar);
                   9890:       fgets(line, MAXLINE, ficpar);
1.141     brouard  9891:       fputs(line,stdout);
1.126     brouard  9892:       fputs(line,ficparo);
                   9893:     }
                   9894:     ungetc(c,ficpar);
                   9895:     
                   9896:     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);
                   9897:     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);
                   9898:     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);
                   9899:     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);
                   9900:     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);
                   9901:     /* day and month of proj2 are not used but only year anproj2.*/
                   9902:     
1.217     brouard  9903:     while((c=getc(ficpar))=='#' && c!= EOF){
                   9904:       ungetc(c,ficpar);
                   9905:       fgets(line, MAXLINE, ficpar);
                   9906:       fputs(line,stdout);
                   9907:       fputs(line,ficparo);
                   9908:     }
                   9909:     ungetc(c,ficpar);
                   9910:     
                   9911:     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  9912:     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);
                   9913:     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);
                   9914:     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  9915:     /* day and month of proj2 are not used but only year anproj2.*/
1.126     brouard  9916:     
                   9917:     
1.220     brouard  9918:                /* freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint); */
1.145     brouard  9919:     /* ,dateprev1,dateprev2,jprev1, mprev1,anprev1,jprev2, mprev2,anprev2); */
1.126     brouard  9920:     
                   9921:     replace_back_to_slash(pathc,pathcd); /* Even gnuplot wants a / */
1.194     brouard  9922:     if(ageminpar == AGEOVERFLOW ||agemaxpar == -AGEOVERFLOW){
1.220     brouard  9923:                        printf("Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
1.194     brouard  9924: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   9925: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
1.220     brouard  9926:                        fprintf(ficlog,"Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
1.194     brouard  9927: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   9928: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
1.220     brouard  9929:     }else{
1.218     brouard  9930:       printinggnuplot(fileresu, optionfilefiname,ageminpar,agemaxpar,fage, prevfcast, backcast, pathc,p);
1.220     brouard  9931:     }
                   9932:     printinghtml(fileresu,title,datafile, firstpass, lastpass, stepm, weightopt, \
1.225   ! brouard  9933:                 model,imx,jmin,jmax,jmean,rfileres,popforecast,prevfcast,backcast, estepm, \
        !          9934:                 jprev1,mprev1,anprev1,dateprev1,jprev2,mprev2,anprev2,dateprev2);
1.220     brouard  9935:                
1.225   ! brouard  9936:     /*------------ free_vector  -------------*/
        !          9937:     /*  chdir(path); */
1.220     brouard  9938:                
1.215     brouard  9939:     /* free_ivector(wav,1,imx); */  /* Moved after last prevalence call */
                   9940:     /* free_imatrix(dh,1,lastpass-firstpass+2,1,imx); */
                   9941:     /* free_imatrix(bh,1,lastpass-firstpass+2,1,imx); */
                   9942:     /* free_imatrix(mw,1,lastpass-firstpass+2,1,imx);    */
1.126     brouard  9943:     free_lvector(num,1,n);
                   9944:     free_vector(agedc,1,n);
                   9945:     /*free_matrix(covar,0,NCOVMAX,1,n);*/
                   9946:     /*free_matrix(covar,1,NCOVMAX,1,n);*/
                   9947:     fclose(ficparo);
                   9948:     fclose(ficres);
1.220     brouard  9949:                
                   9950:                
1.186     brouard  9951:     /* Other results (useful)*/
1.220     brouard  9952:                
                   9953:                
1.126     brouard  9954:     /*--------------- Prevalence limit  (period or stable prevalence) --------------*/
1.180     brouard  9955:     /*#include "prevlim.h"*/  /* Use ficrespl, ficlog */
                   9956:     prlim=matrix(1,nlstate,1,nlstate);
1.209     brouard  9957:     prevalence_limit(p, prlim,  ageminpar, agemaxpar, ftolpl, &ncvyear);
1.126     brouard  9958:     fclose(ficrespl);
                   9959: 
                   9960:     /*------------- h Pij x at various ages ------------*/
1.180     brouard  9961:     /*#include "hpijx.h"*/
                   9962:     hPijx(p, bage, fage);
1.145     brouard  9963:     fclose(ficrespij);
1.126     brouard  9964: 
1.220     brouard  9965:     /* ncovcombmax=  pow(2,cptcoveff); */
1.219     brouard  9966:     /*-------------- Variance of one-step probabilities---*/
1.145     brouard  9967:     k=1;
1.126     brouard  9968:     varprob(optionfilefiname, matcov, p, delti, nlstate, bage, fage,k,Tvar,nbcode, ncodemax,strstart);
                   9969: 
1.219     brouard  9970:     /* Prevalence for each covariates in probs[age][status][cov] */
1.218     brouard  9971:     probs= ma3x(1,AGESUP,1,nlstate+ndeath, 1,ncovcombmax);
1.126     brouard  9972:     for(i=1;i<=AGESUP;i++)
1.219     brouard  9973:       for(j=1;j<=nlstate+ndeath;j++) /* ndeath is useless but a necessity to be compared with mobaverages */
1.225   ! brouard  9974:        for(k=1;k<=ncovcombmax;k++)
        !          9975:          probs[i][j][k]=0.;
1.219     brouard  9976:     prevalence(probs, ageminpar, agemaxpar, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass);
                   9977:     if (mobilav!=0 ||mobilavproj !=0 ) {
                   9978:       mobaverages= ma3x(1, AGESUP,1,nlstate+ndeath, 1,ncovcombmax);
                   9979:                        for(i=1;i<=AGESUP;i++)
                   9980:                                for(j=1;j<=nlstate;j++)
                   9981:                                        for(k=1;k<=ncovcombmax;k++)
                   9982:                                                mobaverages[i][j][k]=0.;
                   9983:       mobaverage=mobaverages;
                   9984:       if (mobilav!=0) {
1.218     brouard  9985:                                if (movingaverage(probs, ageminpar, agemaxpar, mobaverage, mobilav)!=0){
                   9986:                                        fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
                   9987:                                        printf(" Error in movingaverage mobilav=%d\n",mobilav);
                   9988:                                }
1.219     brouard  9989:       }
                   9990:       /* /\* Prevalence for each covariates in probs[age][status][cov] *\/ */
                   9991:       /* prevalence(probs, ageminpar, agemaxpar, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass); */
                   9992:       else if (mobilavproj !=0) {
1.218     brouard  9993:                                if (movingaverage(probs, ageminpar, agemaxpar, mobaverage, mobilavproj)!=0){
                   9994:                                        fprintf(ficlog," Error in movingaverage mobilavproj=%d\n",mobilavproj);
                   9995:                                        printf(" Error in movingaverage mobilavproj=%d\n",mobilavproj);
                   9996:                                }
1.219     brouard  9997:       }
                   9998:     }/* end if moving average */
                   9999:                
1.126     brouard  10000:     /*---------- Forecasting ------------------*/
                   10001:     /*if((stepm == 1) && (strcmp(model,".")==0)){*/
                   10002:     if(prevfcast==1){
                   10003:       /*    if(stepm ==1){*/
1.225   ! brouard  10004:       prevforecast(fileresu, anproj1, mproj1, jproj1, agemin, agemax, dateprev1, dateprev2, mobilavproj, bage, fage, firstpass, lastpass, anproj2, p, cptcoveff);
1.126     brouard  10005:     }
1.217     brouard  10006:     if(backcast==1){
1.219     brouard  10007:       ddnewms=matrix(1,nlstate+ndeath,1,nlstate+ndeath);       
                   10008:       ddoldms=matrix(1,nlstate+ndeath,1,nlstate+ndeath);       
                   10009:       ddsavms=matrix(1,nlstate+ndeath,1,nlstate+ndeath);
                   10010: 
                   10011:       /*--------------- Back Prevalence limit  (period or stable prevalence) --------------*/
                   10012: 
                   10013:       bprlim=matrix(1,nlstate,1,nlstate);
                   10014:       back_prevalence_limit(p, bprlim,  ageminpar, agemaxpar, ftolpl, &ncvyear, dateprev1, dateprev2, firstpass, lastpass, mobilavproj);
                   10015:       fclose(ficresplb);
                   10016: 
1.222     brouard  10017:       hBijx(p, bage, fage, mobaverage);
                   10018:       fclose(ficrespijb);
1.219     brouard  10019:       free_matrix(bprlim,1,nlstate,1,nlstate); /*here or after loop ? */
                   10020: 
                   10021:       /* prevbackforecast(fileresu, anback1, mback1, jback1, agemin, agemax, dateprev1, dateprev2, mobilavproj,
1.225   ! brouard  10022:         bage, fage, firstpass, lastpass, anback2, p, cptcoveff); */
1.219     brouard  10023:       free_matrix(ddnewms, 1, nlstate+ndeath, 1, nlstate+ndeath);
                   10024:       free_matrix(ddsavms, 1, nlstate+ndeath, 1, nlstate+ndeath);
                   10025:       free_matrix(ddoldms, 1, nlstate+ndeath, 1, nlstate+ndeath);
                   10026:     }
1.217     brouard  10027:     
1.186     brouard  10028:  
                   10029:     /* ------ Other prevalence ratios------------ */
1.126     brouard  10030: 
1.215     brouard  10031:     free_ivector(wav,1,imx);
                   10032:     free_imatrix(dh,1,lastpass-firstpass+2,1,imx);
                   10033:     free_imatrix(bh,1,lastpass-firstpass+2,1,imx);
                   10034:     free_imatrix(mw,1,lastpass-firstpass+2,1,imx);   
1.218     brouard  10035:                
                   10036:                
1.127     brouard  10037:     /*---------- Health expectancies, no variances ------------*/
1.218     brouard  10038:                
1.201     brouard  10039:     strcpy(filerese,"E_");
                   10040:     strcat(filerese,fileresu);
1.126     brouard  10041:     if((ficreseij=fopen(filerese,"w"))==NULL) {
                   10042:       printf("Problem with Health Exp. resultfile: %s\n", filerese); exit(0);
                   10043:       fprintf(ficlog,"Problem with Health Exp. resultfile: %s\n", filerese); exit(0);
                   10044:     }
1.208     brouard  10045:     printf("Computing Health Expectancies: result on file '%s' ...", filerese);fflush(stdout);
                   10046:     fprintf(ficlog,"Computing Health Expectancies: result on file '%s' ...", filerese);fflush(ficlog);
1.219     brouard  10047:                
1.225   ! brouard  10048:     for (k=1; k <= (int) pow(2,cptcoveff); k++){
1.219     brouard  10049:       fprintf(ficreseij,"\n#****** ");
1.225   ! brouard  10050:       for(j=1;j<=cptcoveff;j++) {
1.220     brouard  10051:                                fprintf(ficreseij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.219     brouard  10052:       }
                   10053:       fprintf(ficreseij,"******\n");
                   10054:       
                   10055:       eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
                   10056:       oldm=oldms;savm=savms;
                   10057:       evsij(eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k, estepm, strstart);  
1.127     brouard  10058:       
1.219     brouard  10059:       free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);
1.127     brouard  10060:     }
                   10061:     fclose(ficreseij);
1.208     brouard  10062:     printf("done evsij\n");fflush(stdout);
                   10063:     fprintf(ficlog,"done evsij\n");fflush(ficlog);
1.218     brouard  10064:                
1.127     brouard  10065:     /*---------- Health expectancies and variances ------------*/
1.218     brouard  10066:                
                   10067:                
1.201     brouard  10068:     strcpy(filerest,"T_");
                   10069:     strcat(filerest,fileresu);
1.127     brouard  10070:     if((ficrest=fopen(filerest,"w"))==NULL) {
                   10071:       printf("Problem with total LE resultfile: %s\n", filerest);goto end;
                   10072:       fprintf(ficlog,"Problem with total LE resultfile: %s\n", filerest);goto end;
                   10073:     }
1.208     brouard  10074:     printf("Computing Total Life expectancies with their standard errors: file '%s' ...\n", filerest); fflush(stdout);
                   10075:     fprintf(ficlog,"Computing Total Life expectancies with their standard errors: file '%s' ...\n", filerest); fflush(ficlog);
1.218     brouard  10076:                
1.126     brouard  10077: 
1.201     brouard  10078:     strcpy(fileresstde,"STDE_");
                   10079:     strcat(fileresstde,fileresu);
1.126     brouard  10080:     if((ficresstdeij=fopen(fileresstde,"w"))==NULL) {
                   10081:       printf("Problem with Health Exp. and std errors resultfile: %s\n", fileresstde); exit(0);
                   10082:       fprintf(ficlog,"Problem with Health Exp. and std errors resultfile: %s\n", fileresstde); exit(0);
                   10083:     }
1.208     brouard  10084:     printf("  Computing Health Expectancies and standard errors: result on file '%s' \n", fileresstde);
                   10085:     fprintf(ficlog,"  Computing Health Expectancies and standard errors: result on file '%s' \n", fileresstde);
1.126     brouard  10086: 
1.201     brouard  10087:     strcpy(filerescve,"CVE_");
                   10088:     strcat(filerescve,fileresu);
1.126     brouard  10089:     if((ficrescveij=fopen(filerescve,"w"))==NULL) {
                   10090:       printf("Problem with Covar. Health Exp. resultfile: %s\n", filerescve); exit(0);
                   10091:       fprintf(ficlog,"Problem with Covar. Health Exp. resultfile: %s\n", filerescve); exit(0);
                   10092:     }
1.208     brouard  10093:     printf("    Computing Covar. of Health Expectancies: result on file '%s' \n", filerescve);
                   10094:     fprintf(ficlog,"    Computing Covar. of Health Expectancies: result on file '%s' \n", filerescve);
1.126     brouard  10095: 
1.201     brouard  10096:     strcpy(fileresv,"V_");
                   10097:     strcat(fileresv,fileresu);
1.126     brouard  10098:     if((ficresvij=fopen(fileresv,"w"))==NULL) {
                   10099:       printf("Problem with variance resultfile: %s\n", fileresv);exit(0);
                   10100:       fprintf(ficlog,"Problem with variance resultfile: %s\n", fileresv);exit(0);
                   10101:     }
1.208     brouard  10102:     printf("      Computing Variance-covariance of DFLEs: file '%s' ... ", fileresv);fflush(stdout);
                   10103:     fprintf(ficlog,"      Computing Variance-covariance of DFLEs: file '%s' ... ", fileresv);fflush(ficlog);
1.126     brouard  10104: 
1.145     brouard  10105:     /*for(cptcov=1,k=0;cptcov<=i1;cptcov++){
                   10106:       for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*/
                   10107:           
1.225   ! brouard  10108:     for (k=1; k <= (int) pow(2,cptcoveff); k++){
1.208     brouard  10109:       fprintf(ficrest,"\n#****** ");
1.225   ! brouard  10110:       for(j=1;j<=cptcoveff;j++) 
1.218     brouard  10111:                                fprintf(ficrest,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.208     brouard  10112:       fprintf(ficrest,"******\n");
                   10113:       
                   10114:       fprintf(ficresstdeij,"\n#****** ");
                   10115:       fprintf(ficrescveij,"\n#****** ");
1.225   ! brouard  10116:       for(j=1;j<=cptcoveff;j++) {
1.218     brouard  10117:                                fprintf(ficresstdeij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10118:                                fprintf(ficrescveij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.208     brouard  10119:       }
                   10120:       fprintf(ficresstdeij,"******\n");
                   10121:       fprintf(ficrescveij,"******\n");
                   10122:       
                   10123:       fprintf(ficresvij,"\n#****** ");
1.225   ! brouard  10124:       for(j=1;j<=cptcoveff;j++) 
1.218     brouard  10125:                                fprintf(ficresvij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.208     brouard  10126:       fprintf(ficresvij,"******\n");
                   10127:       
                   10128:       eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
                   10129:       oldm=oldms;savm=savms;
                   10130:       printf(" cvevsij %d, ",k);
                   10131:       fprintf(ficlog, " cvevsij %d, ",k);
                   10132:       cvevsij(eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k, estepm, delti, matcov, strstart);
                   10133:       printf(" end cvevsij \n ");
                   10134:       fprintf(ficlog, " end cvevsij \n ");
                   10135:       
                   10136:       /*
                   10137:        */
                   10138:       /* goto endfree; */
                   10139:       
                   10140:       vareij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
                   10141:       pstamp(ficrest);
                   10142:       
                   10143:       
                   10144:       for(vpopbased=0; vpopbased <= popbased; vpopbased++){ /* Done for vpopbased=0 and vpopbased=1 if popbased==1*/
1.220     brouard  10145:                                oldm=oldms;savm=savms; /* ZZ Segmentation fault */
                   10146:                                cptcod= 0; /* To be deleted */
                   10147:                                printf("varevsij %d \n",vpopbased);
                   10148:                                fprintf(ficlog, "varevsij %d \n",vpopbased);
                   10149:                                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 */
                   10150:                                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 ");
                   10151:                                if(vpopbased==1)
                   10152:                                        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);
                   10153:                                else
                   10154:                                        fprintf(ficrest,"the age specific period (stable) prevalences in each health state \n");
                   10155:                                fprintf(ficrest,"# Age popbased mobilav e.. (std) ");
                   10156:                                for (i=1;i<=nlstate;i++) fprintf(ficrest,"e.%d (std) ",i);
                   10157:                                fprintf(ficrest,"\n");
                   10158:                                /* printf("Which p?\n"); for(i=1;i<=npar;i++)printf("p[i=%d]=%lf,",i,p[i]);printf("\n"); */
                   10159:                                epj=vector(1,nlstate+1);
                   10160:                                printf("Computing age specific period (stable) prevalences in each health state \n");
                   10161:                                fprintf(ficlog,"Computing age specific period (stable) prevalences in each health state \n");
                   10162:                                for(age=bage; age <=fage ;age++){
                   10163:                                        prevalim(prlim, nlstate, p, age, oldm, savm, ftolpl, &ncvyear, k); /*ZZ Is it the correct prevalim */
                   10164:                                        if (vpopbased==1) {
                   10165:                                                if(mobilav ==0){
                   10166:                                                        for(i=1; i<=nlstate;i++)
                   10167:                                                                prlim[i][i]=probs[(int)age][i][k];
                   10168:                                                }else{ /* mobilav */ 
                   10169:                                                        for(i=1; i<=nlstate;i++)
                   10170:                                                                prlim[i][i]=mobaverage[(int)age][i][k];
                   10171:                                                }
                   10172:                                        }
1.219     brouard  10173:          
1.220     brouard  10174:                                        fprintf(ficrest," %4.0f %d %d",age, vpopbased, mobilav);
                   10175:                                        /* fprintf(ficrest," %4.0f %d %d %d %d",age, vpopbased, mobilav,Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]); */ /* to be done */
                   10176:                                        /* printf(" age %4.0f ",age); */
                   10177:                                        for(j=1, epj[nlstate+1]=0.;j <=nlstate;j++){
                   10178:                                                for(i=1, epj[j]=0.;i <=nlstate;i++) {
                   10179:                                                        epj[j] += prlim[i][i]*eij[i][j][(int)age];
                   10180:                                                        /*ZZZ  printf("%lf %lf ", prlim[i][i] ,eij[i][j][(int)age]);*/
                   10181:                                                        /* printf("%lf %lf ", prlim[i][i] ,eij[i][j][(int)age]); */
                   10182:                                                }
                   10183:                                                epj[nlstate+1] +=epj[j];
                   10184:                                        }
                   10185:                                        /* printf(" age %4.0f \n",age); */
1.219     brouard  10186:          
1.220     brouard  10187:                                        for(i=1, vepp=0.;i <=nlstate;i++)
                   10188:                                                for(j=1;j <=nlstate;j++)
                   10189:                                                        vepp += vareij[i][j][(int)age];
                   10190:                                        fprintf(ficrest," %7.3f (%7.3f)", epj[nlstate+1],sqrt(vepp));
                   10191:                                        for(j=1;j <=nlstate;j++){
                   10192:                                                fprintf(ficrest," %7.3f (%7.3f)", epj[j],sqrt(vareij[j][j][(int)age]));
                   10193:                                        }
                   10194:                                        fprintf(ficrest,"\n");
                   10195:                                }
1.208     brouard  10196:       } /* End vpopbased */
                   10197:       free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);
                   10198:       free_ma3x(vareij,1,nlstate,1,nlstate,(int) bage, (int)fage);
                   10199:       free_vector(epj,1,nlstate+1);
                   10200:       printf("done \n");fflush(stdout);
                   10201:       fprintf(ficlog,"done\n");fflush(ficlog);
                   10202:       
1.145     brouard  10203:       /*}*/
1.208     brouard  10204:     } /* End k */
1.126     brouard  10205:     free_vector(weight,1,n);
1.145     brouard  10206:     free_imatrix(Tvard,1,NCOVMAX,1,2);
1.126     brouard  10207:     free_imatrix(s,1,maxwav+1,1,n);
                   10208:     free_matrix(anint,1,maxwav,1,n); 
                   10209:     free_matrix(mint,1,maxwav,1,n);
                   10210:     free_ivector(cod,1,n);
                   10211:     free_ivector(tab,1,NCOVMAX);
                   10212:     fclose(ficresstdeij);
                   10213:     fclose(ficrescveij);
                   10214:     fclose(ficresvij);
                   10215:     fclose(ficrest);
1.208     brouard  10216:     printf("done Health expectancies\n");fflush(stdout);
                   10217:     fprintf(ficlog,"done Health expectancies\n");fflush(ficlog);
1.126     brouard  10218:     fclose(ficpar);
                   10219:   
                   10220:     /*------- Variance of period (stable) prevalence------*/   
                   10221: 
1.201     brouard  10222:     strcpy(fileresvpl,"VPL_");
                   10223:     strcat(fileresvpl,fileresu);
1.126     brouard  10224:     if((ficresvpl=fopen(fileresvpl,"w"))==NULL) {
                   10225:       printf("Problem with variance of period (stable) prevalence  resultfile: %s\n", fileresvpl);
                   10226:       exit(0);
                   10227:     }
1.208     brouard  10228:     printf("Computing Variance-covariance of period (stable) prevalence: file '%s' ...", fileresvpl);fflush(stdout);
                   10229:     fprintf(ficlog, "Computing Variance-covariance of period (stable) prevalence: file '%s' ...", fileresvpl);fflush(ficlog);
1.126     brouard  10230: 
1.145     brouard  10231:     /*for(cptcov=1,k=0;cptcov<=i1;cptcov++){
                   10232:       for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*/
                   10233:           
1.225   ! brouard  10234:     for (k=1; k <= (int) pow(2,cptcoveff); k++){
1.145     brouard  10235:        fprintf(ficresvpl,"\n#****** ");
1.225   ! brouard  10236:                        for(j=1;j<=cptcoveff;j++) 
1.218     brouard  10237:                                fprintf(ficresvpl,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10238:                        fprintf(ficresvpl,"******\n");
                   10239:       
                   10240:                        varpl=matrix(1,nlstate,(int) bage, (int) fage);
                   10241:                        oldm=oldms;savm=savms;
                   10242:                        varprevlim(fileres, varpl, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl, &ncvyear, k, strstart);
                   10243:                        free_matrix(varpl,1,nlstate,(int) bage, (int)fage);
1.145     brouard  10244:       /*}*/
1.126     brouard  10245:     }
1.218     brouard  10246:                
1.126     brouard  10247:     fclose(ficresvpl);
1.208     brouard  10248:     printf("done variance-covariance of period prevalence\n");fflush(stdout);
                   10249:     fprintf(ficlog,"done variance-covariance of period prevalence\n");fflush(ficlog);
1.126     brouard  10250: 
                   10251:     /*---------- End : free ----------------*/
1.219     brouard  10252:     if (mobilav!=0 ||mobilavproj !=0)
                   10253:       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  10254:     free_ma3x(probs,1,AGESUP,1,nlstate+ndeath, 1,ncovcombmax);
1.220     brouard  10255:     free_matrix(prlim,1,nlstate,1,nlstate); /*here or after loop ? */
                   10256:     free_matrix(pmmij,1,nlstate+ndeath,1,nlstate+ndeath);
1.126     brouard  10257:   }  /* mle==-3 arrives here for freeing */
1.164     brouard  10258:  /* endfree:*/
1.126     brouard  10259:     free_matrix(oldms, 1,nlstate+ndeath,1,nlstate+ndeath);
                   10260:     free_matrix(newms, 1,nlstate+ndeath,1,nlstate+ndeath);
                   10261:     free_matrix(savms, 1,nlstate+ndeath,1,nlstate+ndeath);
1.224     brouard  10262:     free_ma3x(cotqvar,1,maxwav,1,nqtv,1,n);
1.223     brouard  10263:     free_ma3x(cotvar,1,maxwav,1,ntv,1,n);
                   10264:     free_matrix(coqvar,1,maxwav,1,n);
1.126     brouard  10265:     free_matrix(covar,0,NCOVMAX,1,n);
                   10266:     free_matrix(matcov,1,npar,1,npar);
1.203     brouard  10267:     free_matrix(hess,1,npar,1,npar);
1.126     brouard  10268:     /*free_vector(delti,1,npar);*/
                   10269:     free_ma3x(delti3,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel); 
                   10270:     free_matrix(agev,1,maxwav,1,imx);
                   10271:     free_ma3x(param,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel);
                   10272: 
1.145     brouard  10273:     free_ivector(ncodemax,1,NCOVMAX);
1.192     brouard  10274:     free_ivector(ncodemaxwundef,1,NCOVMAX);
1.225   ! brouard  10275:     free_ivector(Typevar,-1,NCOVMAX);
1.145     brouard  10276:     free_ivector(Tvar,1,NCOVMAX);
                   10277:     free_ivector(Tprod,1,NCOVMAX);
                   10278:     free_ivector(Tvaraff,1,NCOVMAX);
1.220     brouard  10279:     free_ivector(invalidvarcomb,1,ncovcombmax);
1.145     brouard  10280:     free_ivector(Tage,1,NCOVMAX);
1.126     brouard  10281: 
                   10282:     free_imatrix(nbcode,0,NCOVMAX,0,NCOVMAX);
1.200     brouard  10283:     /* free_imatrix(codtab,1,100,1,10); */
1.126     brouard  10284:   fflush(fichtm);
                   10285:   fflush(ficgp);
                   10286:   
                   10287: 
                   10288:   if((nberr >0) || (nbwarn>0)){
1.216     brouard  10289:     printf("End of Imach with %d errors and/or %d warnings. Please look at the log file for details.\n",nberr,nbwarn);
                   10290:     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  10291:   }else{
                   10292:     printf("End of Imach\n");
                   10293:     fprintf(ficlog,"End of Imach\n");
                   10294:   }
                   10295:   printf("See log file on %s\n",filelog);
                   10296:   /*  gettimeofday(&end_time, (struct timezone*)0);*/  /* after time */
1.157     brouard  10297:   /*(void) gettimeofday(&end_time,&tzp);*/
                   10298:   rend_time = time(NULL);  
                   10299:   end_time = *localtime(&rend_time);
                   10300:   /* tml = *localtime(&end_time.tm_sec); */
                   10301:   strcpy(strtend,asctime(&end_time));
1.126     brouard  10302:   printf("Local time at start %s\nLocal time at end   %s",strstart, strtend); 
                   10303:   fprintf(ficlog,"Local time at start %s\nLocal time at end   %s\n",strstart, strtend); 
1.157     brouard  10304:   printf("Total time used %s\n", asc_diff_time(rend_time -rstart_time,tmpout));
1.126     brouard  10305: 
1.157     brouard  10306:   printf("Total time was %.0lf Sec.\n", difftime(rend_time,rstart_time));
                   10307:   fprintf(ficlog,"Total time used %s\n", asc_diff_time(rend_time -rstart_time,tmpout));
                   10308:   fprintf(ficlog,"Total time was %.0lf Sec.\n", difftime(rend_time,rstart_time));
1.126     brouard  10309:   /*  printf("Total time was %d uSec.\n", total_usecs);*/
                   10310: /*   if(fileappend(fichtm,optionfilehtm)){ */
                   10311:   fprintf(fichtm,"<br>Local time at start %s<br>Local time at end   %s<br>\n</body></html>",strstart, strtend);
                   10312:   fclose(fichtm);
                   10313:   fprintf(fichtmcov,"<br>Local time at start %s<br>Local time at end   %s<br>\n</body></html>",strstart, strtend);
                   10314:   fclose(fichtmcov);
                   10315:   fclose(ficgp);
                   10316:   fclose(ficlog);
                   10317:   /*------ End -----------*/
                   10318: 
                   10319: 
                   10320:    printf("Before Current directory %s!\n",pathcd);
1.184     brouard  10321: #ifdef WIN32
                   10322:    if (_chdir(pathcd) != 0)
                   10323:           printf("Can't move to directory %s!\n",path);
                   10324:    if(_getcwd(pathcd,MAXLINE) > 0)
                   10325: #else
1.126     brouard  10326:    if(chdir(pathcd) != 0)
1.184     brouard  10327:           printf("Can't move to directory %s!\n", path);
                   10328:    if (getcwd(pathcd, MAXLINE) > 0)
                   10329: #endif 
1.126     brouard  10330:     printf("Current directory %s!\n",pathcd);
                   10331:   /*strcat(plotcmd,CHARSEPARATOR);*/
                   10332:   sprintf(plotcmd,"gnuplot");
1.157     brouard  10333: #ifdef _WIN32
1.126     brouard  10334:   sprintf(plotcmd,"\"%sgnuplot.exe\"",pathimach);
                   10335: #endif
                   10336:   if(!stat(plotcmd,&info)){
1.158     brouard  10337:     printf("Error or gnuplot program not found: '%s'\n",plotcmd);fflush(stdout);
1.126     brouard  10338:     if(!stat(getenv("GNUPLOTBIN"),&info)){
1.158     brouard  10339:       printf("Error or gnuplot program not found: '%s' Environment GNUPLOTBIN not set.\n",plotcmd);fflush(stdout);
1.126     brouard  10340:     }else
                   10341:       strcpy(pplotcmd,plotcmd);
1.157     brouard  10342: #ifdef __unix
1.126     brouard  10343:     strcpy(plotcmd,GNUPLOTPROGRAM);
                   10344:     if(!stat(plotcmd,&info)){
1.158     brouard  10345:       printf("Error gnuplot program not found: '%s'\n",plotcmd);fflush(stdout);
1.126     brouard  10346:     }else
                   10347:       strcpy(pplotcmd,plotcmd);
                   10348: #endif
                   10349:   }else
                   10350:     strcpy(pplotcmd,plotcmd);
                   10351:   
                   10352:   sprintf(plotcmd,"%s %s",pplotcmd, optionfilegnuplot);
1.158     brouard  10353:   printf("Starting graphs with: '%s'\n",plotcmd);fflush(stdout);
1.126     brouard  10354: 
                   10355:   if((outcmd=system(plotcmd)) != 0){
1.158     brouard  10356:     printf("gnuplot command might not be in your path: '%s', err=%d\n", plotcmd, outcmd);
1.154     brouard  10357:     printf("\n Trying if gnuplot resides on the same directory that IMaCh\n");
1.152     brouard  10358:     sprintf(plotcmd,"%sgnuplot %s", pathimach, optionfilegnuplot);
1.150     brouard  10359:     if((outcmd=system(plotcmd)) != 0)
1.153     brouard  10360:       printf("\n Still a problem with gnuplot command %s, err=%d\n", plotcmd, outcmd);
1.126     brouard  10361:   }
1.158     brouard  10362:   printf(" Successful, please wait...");
1.126     brouard  10363:   while (z[0] != 'q') {
                   10364:     /* chdir(path); */
1.154     brouard  10365:     printf("\nType e to edit results with your browser, g to graph again and q for exit: ");
1.126     brouard  10366:     scanf("%s",z);
                   10367: /*     if (z[0] == 'c') system("./imach"); */
                   10368:     if (z[0] == 'e') {
1.158     brouard  10369: #ifdef __APPLE__
1.152     brouard  10370:       sprintf(pplotcmd, "open %s", optionfilehtm);
1.157     brouard  10371: #elif __linux
                   10372:       sprintf(pplotcmd, "xdg-open %s", optionfilehtm);
1.153     brouard  10373: #else
1.152     brouard  10374:       sprintf(pplotcmd, "%s", optionfilehtm);
1.153     brouard  10375: #endif
                   10376:       printf("Starting browser with: %s",pplotcmd);fflush(stdout);
                   10377:       system(pplotcmd);
1.126     brouard  10378:     }
                   10379:     else if (z[0] == 'g') system(plotcmd);
                   10380:     else if (z[0] == 'q') exit(0);
                   10381:   }
                   10382:   end:
                   10383:   while (z[0] != 'q') {
1.195     brouard  10384:     printf("\nType  q for exiting: "); fflush(stdout);
1.126     brouard  10385:     scanf("%s",z);
                   10386:   }
                   10387: }

FreeBSD-CVSweb <freebsd-cvsweb@FreeBSD.org>