Annotation of imach/src/imach.c, revision 1.226

1.226   ! brouard     1: /* $Id: imach.c,v 1.225 2016/07/12 08:40:03 brouard Exp $
1.126     brouard     2:   $State: Exp $
1.163     brouard     3:   $Log: imach.c,v $
1.226   ! brouard     4:   Revision 1.225  2016/07/12 08:40:03  brouard
        !             5:   Summary: saving but not running
        !             6: 
1.225     brouard     7:   Revision 1.224  2016/07/01 13:16:01  brouard
                      8:   Summary: Fixes
                      9: 
1.224     brouard    10:   Revision 1.223  2016/02/19 09:23:35  brouard
                     11:   Summary: temporary
                     12: 
1.223     brouard    13:   Revision 1.222  2016/02/17 08:14:50  brouard
                     14:   Summary: Probably last 0.98 stable version 0.98r6
                     15: 
1.222     brouard    16:   Revision 1.221  2016/02/15 23:35:36  brouard
                     17:   Summary: minor bug
                     18: 
1.220     brouard    19:   Revision 1.219  2016/02/15 00:48:12  brouard
                     20:   *** empty log message ***
                     21: 
1.219     brouard    22:   Revision 1.218  2016/02/12 11:29:23  brouard
                     23:   Summary: 0.99 Back projections
                     24: 
1.218     brouard    25:   Revision 1.217  2015/12/23 17:18:31  brouard
                     26:   Summary: Experimental backcast
                     27: 
1.217     brouard    28:   Revision 1.216  2015/12/18 17:32:11  brouard
                     29:   Summary: 0.98r4 Warning and status=-2
                     30: 
                     31:   Version 0.98r4 is now:
                     32:    - displaying an error when status is -1, date of interview unknown and date of death known;
                     33:    - permitting a status -2 when the vital status is unknown at a known date of right truncation.
                     34:   Older changes concerning s=-2, dating from 2005 have been supersed.
                     35: 
1.216     brouard    36:   Revision 1.215  2015/12/16 08:52:24  brouard
                     37:   Summary: 0.98r4 working
                     38: 
1.215     brouard    39:   Revision 1.214  2015/12/16 06:57:54  brouard
                     40:   Summary: temporary not working
                     41: 
1.214     brouard    42:   Revision 1.213  2015/12/11 18:22:17  brouard
                     43:   Summary: 0.98r4
                     44: 
1.213     brouard    45:   Revision 1.212  2015/11/21 12:47:24  brouard
                     46:   Summary: minor typo
                     47: 
1.212     brouard    48:   Revision 1.211  2015/11/21 12:41:11  brouard
                     49:   Summary: 0.98r3 with some graph of projected cross-sectional
                     50: 
                     51:   Author: Nicolas Brouard
                     52: 
1.211     brouard    53:   Revision 1.210  2015/11/18 17:41:20  brouard
                     54:   Summary: Start working on projected prevalences
                     55: 
1.210     brouard    56:   Revision 1.209  2015/11/17 22:12:03  brouard
                     57:   Summary: Adding ftolpl parameter
                     58:   Author: N Brouard
                     59: 
                     60:   We had difficulties to get smoothed confidence intervals. It was due
                     61:   to the period prevalence which wasn't computed accurately. The inner
                     62:   parameter ftolpl is now an outer parameter of the .imach parameter
                     63:   file after estepm. If ftolpl is small 1.e-4 and estepm too,
                     64:   computation are long.
                     65: 
1.209     brouard    66:   Revision 1.208  2015/11/17 14:31:57  brouard
                     67:   Summary: temporary
                     68: 
1.208     brouard    69:   Revision 1.207  2015/10/27 17:36:57  brouard
                     70:   *** empty log message ***
                     71: 
1.207     brouard    72:   Revision 1.206  2015/10/24 07:14:11  brouard
                     73:   *** empty log message ***
                     74: 
1.206     brouard    75:   Revision 1.205  2015/10/23 15:50:53  brouard
                     76:   Summary: 0.98r3 some clarification for graphs on likelihood contributions
                     77: 
1.205     brouard    78:   Revision 1.204  2015/10/01 16:20:26  brouard
                     79:   Summary: Some new graphs of contribution to likelihood
                     80: 
1.204     brouard    81:   Revision 1.203  2015/09/30 17:45:14  brouard
                     82:   Summary: looking at better estimation of the hessian
                     83: 
                     84:   Also a better criteria for convergence to the period prevalence And
                     85:   therefore adding the number of years needed to converge. (The
                     86:   prevalence in any alive state shold sum to one
                     87: 
1.203     brouard    88:   Revision 1.202  2015/09/22 19:45:16  brouard
                     89:   Summary: Adding some overall graph on contribution to likelihood. Might change
                     90: 
1.202     brouard    91:   Revision 1.201  2015/09/15 17:34:58  brouard
                     92:   Summary: 0.98r0
                     93: 
                     94:   - Some new graphs like suvival functions
                     95:   - Some bugs fixed like model=1+age+V2.
                     96: 
1.201     brouard    97:   Revision 1.200  2015/09/09 16:53:55  brouard
                     98:   Summary: Big bug thanks to Flavia
                     99: 
                    100:   Even model=1+age+V2. did not work anymore
                    101: 
1.200     brouard   102:   Revision 1.199  2015/09/07 14:09:23  brouard
                    103:   Summary: 0.98q6 changing default small png format for graph to vectorized svg.
                    104: 
1.199     brouard   105:   Revision 1.198  2015/09/03 07:14:39  brouard
                    106:   Summary: 0.98q5 Flavia
                    107: 
1.198     brouard   108:   Revision 1.197  2015/09/01 18:24:39  brouard
                    109:   *** empty log message ***
                    110: 
1.197     brouard   111:   Revision 1.196  2015/08/18 23:17:52  brouard
                    112:   Summary: 0.98q5
                    113: 
1.196     brouard   114:   Revision 1.195  2015/08/18 16:28:39  brouard
                    115:   Summary: Adding a hack for testing purpose
                    116: 
                    117:   After reading the title, ftol and model lines, if the comment line has
                    118:   a q, starting with #q, the answer at the end of the run is quit. It
                    119:   permits to run test files in batch with ctest. The former workaround was
                    120:   $ echo q | imach foo.imach
                    121: 
1.195     brouard   122:   Revision 1.194  2015/08/18 13:32:00  brouard
                    123:   Summary:  Adding error when the covariance matrix doesn't contain the exact number of lines required by the model line.
                    124: 
1.194     brouard   125:   Revision 1.193  2015/08/04 07:17:42  brouard
                    126:   Summary: 0.98q4
                    127: 
1.193     brouard   128:   Revision 1.192  2015/07/16 16:49:02  brouard
                    129:   Summary: Fixing some outputs
                    130: 
1.192     brouard   131:   Revision 1.191  2015/07/14 10:00:33  brouard
                    132:   Summary: Some fixes
                    133: 
1.191     brouard   134:   Revision 1.190  2015/05/05 08:51:13  brouard
                    135:   Summary: Adding digits in output parameters (7 digits instead of 6)
                    136: 
                    137:   Fix 1+age+.
                    138: 
1.190     brouard   139:   Revision 1.189  2015/04/30 14:45:16  brouard
                    140:   Summary: 0.98q2
                    141: 
1.189     brouard   142:   Revision 1.188  2015/04/30 08:27:53  brouard
                    143:   *** empty log message ***
                    144: 
1.188     brouard   145:   Revision 1.187  2015/04/29 09:11:15  brouard
                    146:   *** empty log message ***
                    147: 
1.187     brouard   148:   Revision 1.186  2015/04/23 12:01:52  brouard
                    149:   Summary: V1*age is working now, version 0.98q1
                    150: 
                    151:   Some codes had been disabled in order to simplify and Vn*age was
                    152:   working in the optimization phase, ie, giving correct MLE parameters,
                    153:   but, as usual, outputs were not correct and program core dumped.
                    154: 
1.186     brouard   155:   Revision 1.185  2015/03/11 13:26:42  brouard
                    156:   Summary: Inclusion of compile and links command line for Intel Compiler
                    157: 
1.185     brouard   158:   Revision 1.184  2015/03/11 11:52:39  brouard
                    159:   Summary: Back from Windows 8. Intel Compiler
                    160: 
1.184     brouard   161:   Revision 1.183  2015/03/10 20:34:32  brouard
                    162:   Summary: 0.98q0, trying with directest, mnbrak fixed
                    163: 
                    164:   We use directest instead of original Powell test; probably no
                    165:   incidence on the results, but better justifications;
                    166:   We fixed Numerical Recipes mnbrak routine which was wrong and gave
                    167:   wrong results.
                    168: 
1.183     brouard   169:   Revision 1.182  2015/02/12 08:19:57  brouard
                    170:   Summary: Trying to keep directest which seems simpler and more general
                    171:   Author: Nicolas Brouard
                    172: 
1.182     brouard   173:   Revision 1.181  2015/02/11 23:22:24  brouard
                    174:   Summary: Comments on Powell added
                    175: 
                    176:   Author:
                    177: 
1.181     brouard   178:   Revision 1.180  2015/02/11 17:33:45  brouard
                    179:   Summary: Finishing move from main to function (hpijx and prevalence_limit)
                    180: 
1.180     brouard   181:   Revision 1.179  2015/01/04 09:57:06  brouard
                    182:   Summary: back to OS/X
                    183: 
1.179     brouard   184:   Revision 1.178  2015/01/04 09:35:48  brouard
                    185:   *** empty log message ***
                    186: 
1.178     brouard   187:   Revision 1.177  2015/01/03 18:40:56  brouard
                    188:   Summary: Still testing ilc32 on OSX
                    189: 
1.177     brouard   190:   Revision 1.176  2015/01/03 16:45:04  brouard
                    191:   *** empty log message ***
                    192: 
1.176     brouard   193:   Revision 1.175  2015/01/03 16:33:42  brouard
                    194:   *** empty log message ***
                    195: 
1.175     brouard   196:   Revision 1.174  2015/01/03 16:15:49  brouard
                    197:   Summary: Still in cross-compilation
                    198: 
1.174     brouard   199:   Revision 1.173  2015/01/03 12:06:26  brouard
                    200:   Summary: trying to detect cross-compilation
                    201: 
1.173     brouard   202:   Revision 1.172  2014/12/27 12:07:47  brouard
                    203:   Summary: Back from Visual Studio and Intel, options for compiling for Windows XP
                    204: 
1.172     brouard   205:   Revision 1.171  2014/12/23 13:26:59  brouard
                    206:   Summary: Back from Visual C
                    207: 
                    208:   Still problem with utsname.h on Windows
                    209: 
1.171     brouard   210:   Revision 1.170  2014/12/23 11:17:12  brouard
                    211:   Summary: Cleaning some \%% back to %%
                    212: 
                    213:   The escape was mandatory for a specific compiler (which one?), but too many warnings.
                    214: 
1.170     brouard   215:   Revision 1.169  2014/12/22 23:08:31  brouard
                    216:   Summary: 0.98p
                    217: 
                    218:   Outputs some informations on compiler used, OS etc. Testing on different platforms.
                    219: 
1.169     brouard   220:   Revision 1.168  2014/12/22 15:17:42  brouard
1.170     brouard   221:   Summary: update
1.169     brouard   222: 
1.168     brouard   223:   Revision 1.167  2014/12/22 13:50:56  brouard
                    224:   Summary: Testing uname and compiler version and if compiled 32 or 64
                    225: 
                    226:   Testing on Linux 64
                    227: 
1.167     brouard   228:   Revision 1.166  2014/12/22 11:40:47  brouard
                    229:   *** empty log message ***
                    230: 
1.166     brouard   231:   Revision 1.165  2014/12/16 11:20:36  brouard
                    232:   Summary: After compiling on Visual C
                    233: 
                    234:   * imach.c (Module): Merging 1.61 to 1.162
                    235: 
1.165     brouard   236:   Revision 1.164  2014/12/16 10:52:11  brouard
                    237:   Summary: Merging with Visual C after suppressing some warnings for unused variables. Also fixing Saito's bug 0.98Xn
                    238: 
                    239:   * imach.c (Module): Merging 1.61 to 1.162
                    240: 
1.164     brouard   241:   Revision 1.163  2014/12/16 10:30:11  brouard
                    242:   * imach.c (Module): Merging 1.61 to 1.162
                    243: 
1.163     brouard   244:   Revision 1.162  2014/09/25 11:43:39  brouard
                    245:   Summary: temporary backup 0.99!
                    246: 
1.162     brouard   247:   Revision 1.1  2014/09/16 11:06:58  brouard
                    248:   Summary: With some code (wrong) for nlopt
                    249: 
                    250:   Author:
                    251: 
                    252:   Revision 1.161  2014/09/15 20:41:41  brouard
                    253:   Summary: Problem with macro SQR on Intel compiler
                    254: 
1.161     brouard   255:   Revision 1.160  2014/09/02 09:24:05  brouard
                    256:   *** empty log message ***
                    257: 
1.160     brouard   258:   Revision 1.159  2014/09/01 10:34:10  brouard
                    259:   Summary: WIN32
                    260:   Author: Brouard
                    261: 
1.159     brouard   262:   Revision 1.158  2014/08/27 17:11:51  brouard
                    263:   *** empty log message ***
                    264: 
1.158     brouard   265:   Revision 1.157  2014/08/27 16:26:55  brouard
                    266:   Summary: Preparing windows Visual studio version
                    267:   Author: Brouard
                    268: 
                    269:   In order to compile on Visual studio, time.h is now correct and time_t
                    270:   and tm struct should be used. difftime should be used but sometimes I
                    271:   just make the differences in raw time format (time(&now).
                    272:   Trying to suppress #ifdef LINUX
                    273:   Add xdg-open for __linux in order to open default browser.
                    274: 
1.157     brouard   275:   Revision 1.156  2014/08/25 20:10:10  brouard
                    276:   *** empty log message ***
                    277: 
1.156     brouard   278:   Revision 1.155  2014/08/25 18:32:34  brouard
                    279:   Summary: New compile, minor changes
                    280:   Author: Brouard
                    281: 
1.155     brouard   282:   Revision 1.154  2014/06/20 17:32:08  brouard
                    283:   Summary: Outputs now all graphs of convergence to period prevalence
                    284: 
1.154     brouard   285:   Revision 1.153  2014/06/20 16:45:46  brouard
                    286:   Summary: If 3 live state, convergence to period prevalence on same graph
                    287:   Author: Brouard
                    288: 
1.153     brouard   289:   Revision 1.152  2014/06/18 17:54:09  brouard
                    290:   Summary: open browser, use gnuplot on same dir than imach if not found in the path
                    291: 
1.152     brouard   292:   Revision 1.151  2014/06/18 16:43:30  brouard
                    293:   *** empty log message ***
                    294: 
1.151     brouard   295:   Revision 1.150  2014/06/18 16:42:35  brouard
                    296:   Summary: If gnuplot is not in the path try on same directory than imach binary (OSX)
                    297:   Author: brouard
                    298: 
1.150     brouard   299:   Revision 1.149  2014/06/18 15:51:14  brouard
                    300:   Summary: Some fixes in parameter files errors
                    301:   Author: Nicolas Brouard
                    302: 
1.149     brouard   303:   Revision 1.148  2014/06/17 17:38:48  brouard
                    304:   Summary: Nothing new
                    305:   Author: Brouard
                    306: 
                    307:   Just a new packaging for OS/X version 0.98nS
                    308: 
1.148     brouard   309:   Revision 1.147  2014/06/16 10:33:11  brouard
                    310:   *** empty log message ***
                    311: 
1.147     brouard   312:   Revision 1.146  2014/06/16 10:20:28  brouard
                    313:   Summary: Merge
                    314:   Author: Brouard
                    315: 
                    316:   Merge, before building revised version.
                    317: 
1.146     brouard   318:   Revision 1.145  2014/06/10 21:23:15  brouard
                    319:   Summary: Debugging with valgrind
                    320:   Author: Nicolas Brouard
                    321: 
                    322:   Lot of changes in order to output the results with some covariates
                    323:   After the Edimburgh REVES conference 2014, it seems mandatory to
                    324:   improve the code.
                    325:   No more memory valgrind error but a lot has to be done in order to
                    326:   continue the work of splitting the code into subroutines.
                    327:   Also, decodemodel has been improved. Tricode is still not
                    328:   optimal. nbcode should be improved. Documentation has been added in
                    329:   the source code.
                    330: 
1.144     brouard   331:   Revision 1.143  2014/01/26 09:45:38  brouard
                    332:   Summary: Version 0.98nR (to be improved, but gives same optimization results as 0.98k. Nice, promising
                    333: 
                    334:   * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
                    335:   (Module): Version 0.98nR Running ok, but output format still only works for three covariates.
                    336: 
1.143     brouard   337:   Revision 1.142  2014/01/26 03:57:36  brouard
                    338:   Summary: gnuplot changed plot w l 1 has to be changed to plot w l lt 2
                    339: 
                    340:   * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
                    341: 
1.142     brouard   342:   Revision 1.141  2014/01/26 02:42:01  brouard
                    343:   * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
                    344: 
1.141     brouard   345:   Revision 1.140  2011/09/02 10:37:54  brouard
                    346:   Summary: times.h is ok with mingw32 now.
                    347: 
1.140     brouard   348:   Revision 1.139  2010/06/14 07:50:17  brouard
                    349:   After the theft of my laptop, I probably lost some lines of codes which were not uploaded to the CVS tree.
                    350:   I remember having already fixed agemin agemax which are pointers now but not cvs saved.
                    351: 
1.139     brouard   352:   Revision 1.138  2010/04/30 18:19:40  brouard
                    353:   *** empty log message ***
                    354: 
1.138     brouard   355:   Revision 1.137  2010/04/29 18:11:38  brouard
                    356:   (Module): Checking covariates for more complex models
                    357:   than V1+V2. A lot of change to be done. Unstable.
                    358: 
1.137     brouard   359:   Revision 1.136  2010/04/26 20:30:53  brouard
                    360:   (Module): merging some libgsl code. Fixing computation
                    361:   of likelione (using inter/intrapolation if mle = 0) in order to
                    362:   get same likelihood as if mle=1.
                    363:   Some cleaning of code and comments added.
                    364: 
1.136     brouard   365:   Revision 1.135  2009/10/29 15:33:14  brouard
                    366:   (Module): Now imach stops if date of birth, at least year of birth, is not given. Some cleaning of the code.
                    367: 
1.135     brouard   368:   Revision 1.134  2009/10/29 13:18:53  brouard
                    369:   (Module): Now imach stops if date of birth, at least year of birth, is not given. Some cleaning of the code.
                    370: 
1.134     brouard   371:   Revision 1.133  2009/07/06 10:21:25  brouard
                    372:   just nforces
                    373: 
1.133     brouard   374:   Revision 1.132  2009/07/06 08:22:05  brouard
                    375:   Many tings
                    376: 
1.132     brouard   377:   Revision 1.131  2009/06/20 16:22:47  brouard
                    378:   Some dimensions resccaled
                    379: 
1.131     brouard   380:   Revision 1.130  2009/05/26 06:44:34  brouard
                    381:   (Module): Max Covariate is now set to 20 instead of 8. A
                    382:   lot of cleaning with variables initialized to 0. Trying to make
                    383:   V2+V3*age+V1+V4 strb=V3*age+V1+V4 working better.
                    384: 
1.130     brouard   385:   Revision 1.129  2007/08/31 13:49:27  lievre
                    386:   Modification of the way of exiting when the covariate is not binary in order to see on the window the error message before exiting
                    387: 
1.129     lievre    388:   Revision 1.128  2006/06/30 13:02:05  brouard
                    389:   (Module): Clarifications on computing e.j
                    390: 
1.128     brouard   391:   Revision 1.127  2006/04/28 18:11:50  brouard
                    392:   (Module): Yes the sum of survivors was wrong since
                    393:   imach-114 because nhstepm was no more computed in the age
                    394:   loop. Now we define nhstepma in the age loop.
                    395:   (Module): In order to speed up (in case of numerous covariates) we
                    396:   compute health expectancies (without variances) in a first step
                    397:   and then all the health expectancies with variances or standard
                    398:   deviation (needs data from the Hessian matrices) which slows the
                    399:   computation.
                    400:   In the future we should be able to stop the program is only health
                    401:   expectancies and graph are needed without standard deviations.
                    402: 
1.127     brouard   403:   Revision 1.126  2006/04/28 17:23:28  brouard
                    404:   (Module): Yes the sum of survivors was wrong since
                    405:   imach-114 because nhstepm was no more computed in the age
                    406:   loop. Now we define nhstepma in the age loop.
                    407:   Version 0.98h
                    408: 
1.126     brouard   409:   Revision 1.125  2006/04/04 15:20:31  lievre
                    410:   Errors in calculation of health expectancies. Age was not initialized.
                    411:   Forecasting file added.
                    412: 
                    413:   Revision 1.124  2006/03/22 17:13:53  lievre
                    414:   Parameters are printed with %lf instead of %f (more numbers after the comma).
                    415:   The log-likelihood is printed in the log file
                    416: 
                    417:   Revision 1.123  2006/03/20 10:52:43  brouard
                    418:   * imach.c (Module): <title> changed, corresponds to .htm file
                    419:   name. <head> headers where missing.
                    420: 
                    421:   * imach.c (Module): Weights can have a decimal point as for
                    422:   English (a comma might work with a correct LC_NUMERIC environment,
                    423:   otherwise the weight is truncated).
                    424:   Modification of warning when the covariates values are not 0 or
                    425:   1.
                    426:   Version 0.98g
                    427: 
                    428:   Revision 1.122  2006/03/20 09:45:41  brouard
                    429:   (Module): Weights can have a decimal point as for
                    430:   English (a comma might work with a correct LC_NUMERIC environment,
                    431:   otherwise the weight is truncated).
                    432:   Modification of warning when the covariates values are not 0 or
                    433:   1.
                    434:   Version 0.98g
                    435: 
                    436:   Revision 1.121  2006/03/16 17:45:01  lievre
                    437:   * imach.c (Module): Comments concerning covariates added
                    438: 
                    439:   * imach.c (Module): refinements in the computation of lli if
                    440:   status=-2 in order to have more reliable computation if stepm is
                    441:   not 1 month. Version 0.98f
                    442: 
                    443:   Revision 1.120  2006/03/16 15:10:38  lievre
                    444:   (Module): refinements in the computation of lli if
                    445:   status=-2 in order to have more reliable computation if stepm is
                    446:   not 1 month. Version 0.98f
                    447: 
                    448:   Revision 1.119  2006/03/15 17:42:26  brouard
                    449:   (Module): Bug if status = -2, the loglikelihood was
                    450:   computed as likelihood omitting the logarithm. Version O.98e
                    451: 
                    452:   Revision 1.118  2006/03/14 18:20:07  brouard
                    453:   (Module): varevsij Comments added explaining the second
                    454:   table of variances if popbased=1 .
                    455:   (Module): Covariances of eij, ekl added, graphs fixed, new html link.
                    456:   (Module): Function pstamp added
                    457:   (Module): Version 0.98d
                    458: 
                    459:   Revision 1.117  2006/03/14 17:16:22  brouard
                    460:   (Module): varevsij Comments added explaining the second
                    461:   table of variances if popbased=1 .
                    462:   (Module): Covariances of eij, ekl added, graphs fixed, new html link.
                    463:   (Module): Function pstamp added
                    464:   (Module): Version 0.98d
                    465: 
                    466:   Revision 1.116  2006/03/06 10:29:27  brouard
                    467:   (Module): Variance-covariance wrong links and
                    468:   varian-covariance of ej. is needed (Saito).
                    469: 
                    470:   Revision 1.115  2006/02/27 12:17:45  brouard
                    471:   (Module): One freematrix added in mlikeli! 0.98c
                    472: 
                    473:   Revision 1.114  2006/02/26 12:57:58  brouard
                    474:   (Module): Some improvements in processing parameter
                    475:   filename with strsep.
                    476: 
                    477:   Revision 1.113  2006/02/24 14:20:24  brouard
                    478:   (Module): Memory leaks checks with valgrind and:
                    479:   datafile was not closed, some imatrix were not freed and on matrix
                    480:   allocation too.
                    481: 
                    482:   Revision 1.112  2006/01/30 09:55:26  brouard
                    483:   (Module): Back to gnuplot.exe instead of wgnuplot.exe
                    484: 
                    485:   Revision 1.111  2006/01/25 20:38:18  brouard
                    486:   (Module): Lots of cleaning and bugs added (Gompertz)
                    487:   (Module): Comments can be added in data file. Missing date values
                    488:   can be a simple dot '.'.
                    489: 
                    490:   Revision 1.110  2006/01/25 00:51:50  brouard
                    491:   (Module): Lots of cleaning and bugs added (Gompertz)
                    492: 
                    493:   Revision 1.109  2006/01/24 19:37:15  brouard
                    494:   (Module): Comments (lines starting with a #) are allowed in data.
                    495: 
                    496:   Revision 1.108  2006/01/19 18:05:42  lievre
                    497:   Gnuplot problem appeared...
                    498:   To be fixed
                    499: 
                    500:   Revision 1.107  2006/01/19 16:20:37  brouard
                    501:   Test existence of gnuplot in imach path
                    502: 
                    503:   Revision 1.106  2006/01/19 13:24:36  brouard
                    504:   Some cleaning and links added in html output
                    505: 
                    506:   Revision 1.105  2006/01/05 20:23:19  lievre
                    507:   *** empty log message ***
                    508: 
                    509:   Revision 1.104  2005/09/30 16:11:43  lievre
                    510:   (Module): sump fixed, loop imx fixed, and simplifications.
                    511:   (Module): If the status is missing at the last wave but we know
                    512:   that the person is alive, then we can code his/her status as -2
                    513:   (instead of missing=-1 in earlier versions) and his/her
                    514:   contributions to the likelihood is 1 - Prob of dying from last
                    515:   health status (= 1-p13= p11+p12 in the easiest case of somebody in
                    516:   the healthy state at last known wave). Version is 0.98
                    517: 
                    518:   Revision 1.103  2005/09/30 15:54:49  lievre
                    519:   (Module): sump fixed, loop imx fixed, and simplifications.
                    520: 
                    521:   Revision 1.102  2004/09/15 17:31:30  brouard
                    522:   Add the possibility to read data file including tab characters.
                    523: 
                    524:   Revision 1.101  2004/09/15 10:38:38  brouard
                    525:   Fix on curr_time
                    526: 
                    527:   Revision 1.100  2004/07/12 18:29:06  brouard
                    528:   Add version for Mac OS X. Just define UNIX in Makefile
                    529: 
                    530:   Revision 1.99  2004/06/05 08:57:40  brouard
                    531:   *** empty log message ***
                    532: 
                    533:   Revision 1.98  2004/05/16 15:05:56  brouard
                    534:   New version 0.97 . First attempt to estimate force of mortality
                    535:   directly from the data i.e. without the need of knowing the health
                    536:   state at each age, but using a Gompertz model: log u =a + b*age .
                    537:   This is the basic analysis of mortality and should be done before any
                    538:   other analysis, in order to test if the mortality estimated from the
                    539:   cross-longitudinal survey is different from the mortality estimated
                    540:   from other sources like vital statistic data.
                    541: 
                    542:   The same imach parameter file can be used but the option for mle should be -3.
                    543: 
1.133     brouard   544:   Agnès, who wrote this part of the code, tried to keep most of the
1.126     brouard   545:   former routines in order to include the new code within the former code.
                    546: 
                    547:   The output is very simple: only an estimate of the intercept and of
                    548:   the slope with 95% confident intervals.
                    549: 
                    550:   Current limitations:
                    551:   A) Even if you enter covariates, i.e. with the
                    552:   model= V1+V2 equation for example, the programm does only estimate a unique global model without covariates.
                    553:   B) There is no computation of Life Expectancy nor Life Table.
                    554: 
                    555:   Revision 1.97  2004/02/20 13:25:42  lievre
                    556:   Version 0.96d. Population forecasting command line is (temporarily)
                    557:   suppressed.
                    558: 
                    559:   Revision 1.96  2003/07/15 15:38:55  brouard
                    560:   * imach.c (Repository): Errors in subdirf, 2, 3 while printing tmpout is
                    561:   rewritten within the same printf. Workaround: many printfs.
                    562: 
                    563:   Revision 1.95  2003/07/08 07:54:34  brouard
                    564:   * imach.c (Repository):
                    565:   (Repository): Using imachwizard code to output a more meaningful covariance
                    566:   matrix (cov(a12,c31) instead of numbers.
                    567: 
                    568:   Revision 1.94  2003/06/27 13:00:02  brouard
                    569:   Just cleaning
                    570: 
                    571:   Revision 1.93  2003/06/25 16:33:55  brouard
                    572:   (Module): On windows (cygwin) function asctime_r doesn't
                    573:   exist so I changed back to asctime which exists.
                    574:   (Module): Version 0.96b
                    575: 
                    576:   Revision 1.92  2003/06/25 16:30:45  brouard
                    577:   (Module): On windows (cygwin) function asctime_r doesn't
                    578:   exist so I changed back to asctime which exists.
                    579: 
                    580:   Revision 1.91  2003/06/25 15:30:29  brouard
                    581:   * imach.c (Repository): Duplicated warning errors corrected.
                    582:   (Repository): Elapsed time after each iteration is now output. It
                    583:   helps to forecast when convergence will be reached. Elapsed time
                    584:   is stamped in powell.  We created a new html file for the graphs
                    585:   concerning matrix of covariance. It has extension -cov.htm.
                    586: 
                    587:   Revision 1.90  2003/06/24 12:34:15  brouard
                    588:   (Module): Some bugs corrected for windows. Also, when
                    589:   mle=-1 a template is output in file "or"mypar.txt with the design
                    590:   of the covariance matrix to be input.
                    591: 
                    592:   Revision 1.89  2003/06/24 12:30:52  brouard
                    593:   (Module): Some bugs corrected for windows. Also, when
                    594:   mle=-1 a template is output in file "or"mypar.txt with the design
                    595:   of the covariance matrix to be input.
                    596: 
                    597:   Revision 1.88  2003/06/23 17:54:56  brouard
                    598:   * 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.
                    599: 
                    600:   Revision 1.87  2003/06/18 12:26:01  brouard
                    601:   Version 0.96
                    602: 
                    603:   Revision 1.86  2003/06/17 20:04:08  brouard
                    604:   (Module): Change position of html and gnuplot routines and added
                    605:   routine fileappend.
                    606: 
                    607:   Revision 1.85  2003/06/17 13:12:43  brouard
                    608:   * imach.c (Repository): Check when date of death was earlier that
                    609:   current date of interview. It may happen when the death was just
                    610:   prior to the death. In this case, dh was negative and likelihood
                    611:   was wrong (infinity). We still send an "Error" but patch by
                    612:   assuming that the date of death was just one stepm after the
                    613:   interview.
                    614:   (Repository): Because some people have very long ID (first column)
                    615:   we changed int to long in num[] and we added a new lvector for
                    616:   memory allocation. But we also truncated to 8 characters (left
                    617:   truncation)
                    618:   (Repository): No more line truncation errors.
                    619: 
                    620:   Revision 1.84  2003/06/13 21:44:43  brouard
                    621:   * imach.c (Repository): Replace "freqsummary" at a correct
                    622:   place. It differs from routine "prevalence" which may be called
                    623:   many times. Probs is memory consuming and must be used with
                    624:   parcimony.
                    625:   Version 0.95a3 (should output exactly the same maximization than 0.8a2)
                    626: 
                    627:   Revision 1.83  2003/06/10 13:39:11  lievre
                    628:   *** empty log message ***
                    629: 
                    630:   Revision 1.82  2003/06/05 15:57:20  brouard
                    631:   Add log in  imach.c and  fullversion number is now printed.
                    632: 
                    633: */
                    634: /*
                    635:    Interpolated Markov Chain
                    636: 
                    637:   Short summary of the programme:
                    638:   
                    639:   This program computes Healthy Life Expectancies from
                    640:   cross-longitudinal data. Cross-longitudinal data consist in: -1- a
                    641:   first survey ("cross") where individuals from different ages are
                    642:   interviewed on their health status or degree of disability (in the
                    643:   case of a health survey which is our main interest) -2- at least a
                    644:   second wave of interviews ("longitudinal") which measure each change
                    645:   (if any) in individual health status.  Health expectancies are
                    646:   computed from the time spent in each health state according to a
                    647:   model. More health states you consider, more time is necessary to reach the
                    648:   Maximum Likelihood of the parameters involved in the model.  The
                    649:   simplest model is the multinomial logistic model where pij is the
                    650:   probability to be observed in state j at the second wave
                    651:   conditional to be observed in state i at the first wave. Therefore
                    652:   the model is: log(pij/pii)= aij + bij*age+ cij*sex + etc , where
                    653:   'age' is age and 'sex' is a covariate. If you want to have a more
                    654:   complex model than "constant and age", you should modify the program
                    655:   where the markup *Covariates have to be included here again* invites
                    656:   you to do it.  More covariates you add, slower the
                    657:   convergence.
                    658: 
                    659:   The advantage of this computer programme, compared to a simple
                    660:   multinomial logistic model, is clear when the delay between waves is not
                    661:   identical for each individual. Also, if a individual missed an
                    662:   intermediate interview, the information is lost, but taken into
                    663:   account using an interpolation or extrapolation.  
                    664: 
                    665:   hPijx is the probability to be observed in state i at age x+h
                    666:   conditional to the observed state i at age x. The delay 'h' can be
                    667:   split into an exact number (nh*stepm) of unobserved intermediate
                    668:   states. This elementary transition (by month, quarter,
                    669:   semester or year) is modelled as a multinomial logistic.  The hPx
                    670:   matrix is simply the matrix product of nh*stepm elementary matrices
                    671:   and the contribution of each individual to the likelihood is simply
                    672:   hPijx.
                    673: 
                    674:   Also this programme outputs the covariance matrix of the parameters but also
1.218     brouard   675:   of the life expectancies. It also computes the period (stable) prevalence.
                    676: 
                    677: Back prevalence and projections:
                    678:  - 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)
                    679:     Computes the back prevalence limit  for any combination    of covariate values k
                    680:     at any age between ageminpar and agemaxpar and returns it in **bprlim. In the loops,
                    681:    - **bprevalim(**bprlim, ***mobaverage, nlstate, *p, age, **oldm, **savm, **dnewm, **doldm, **dsavm, ftolpl, ncvyearp, k);
                    682:  - hBijx Back Probability to be in state i at age x-h being in j at x
                    683:    Computes for any combination of covariates k and any age between bage and fage 
                    684:    p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                    685:                        oldm=oldms;savm=savms;
                    686:         - hbxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);
                    687:      Computes the transition matrix starting at age 'age' over
                    688:      'nhstepm*hstepm*stepm' months (i.e. until
                    689:      age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying
                    690:      nhstepm*hstepm matrices. Returns p3mat[i][j][h] after calling 
                    691:      p3mat[i][j][h]=matprod2(newm, bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent, dnewm, doldm, dsavm,ij),\
1.226   ! brouard   692:      1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm);
        !           693: 
        !           694: Important routines
        !           695: 
        !           696: - func (or funcone), computes logit (pij) distinguishing
        !           697:   o fixed variables (single or product dummies or quantitative);
        !           698:   o varying variables by:
        !           699:    (1) wave (single, product dummies, quantitative), 
        !           700:    (2) by age (can be month) age (done), age*age (done), age*Vn where Vn can be:
        !           701:        % fixed dummy (treated) or quantitative (not done because time-consuming);
        !           702:        % varying dummy (not done) or quantitative (not done);
        !           703: - Tricode which tests the modality of dummy variables (in order to warn with wrong or empty modalities)
        !           704:   and returns the number of efficient covariates cptcoveff and modalities nbcode[Tvar[k]][1]= 0 and nbcode[Tvar[k]][2]= 1 usually.
        !           705: - printinghtml which outputs results like life expectancy in and from a state for a combination of modalities of dummy variables
        !           706:   o There are 2*cptcoveff combinations of (0,1) for cptcoveff variables. Outputting only combinations with people, éliminating 1 1 if
        !           707:     race White (0 0), Black vs White (1 0), Hispanic (0 1) and 1 1 being meaningless.
1.218     brouard   708: 
1.226   ! brouard   709: 
        !           710:   
1.133     brouard   711:   Authors: Nicolas Brouard (brouard@ined.fr) and Agnès Lièvre (lievre@ined.fr).
                    712:            Institut national d'études démographiques, Paris.
1.126     brouard   713:   This software have been partly granted by Euro-REVES, a concerted action
                    714:   from the European Union.
                    715:   It is copyrighted identically to a GNU software product, ie programme and
                    716:   software can be distributed freely for non commercial use. Latest version
                    717:   can be accessed at http://euroreves.ined.fr/imach .
                    718: 
                    719:   Help to debug: LD_PRELOAD=/usr/local/lib/libnjamd.so ./imach foo.imach
                    720:   or better on gdb : set env LD_PRELOAD=/usr/local/lib/libnjamd.so
                    721:   
                    722:   **********************************************************************/
                    723: /*
                    724:   main
                    725:   read parameterfile
                    726:   read datafile
                    727:   concatwav
                    728:   freqsummary
                    729:   if (mle >= 1)
                    730:     mlikeli
                    731:   print results files
                    732:   if mle==1 
                    733:      computes hessian
                    734:   read end of parameter file: agemin, agemax, bage, fage, estepm
                    735:       begin-prev-date,...
                    736:   open gnuplot file
                    737:   open html file
1.145     brouard   738:   period (stable) prevalence      | pl_nom    1-1 2-2 etc by covariate
                    739:    for age prevalim()             | #****** V1=0  V2=1  V3=1  V4=0 ******
                    740:                                   | 65 1 0 2 1 3 1 4 0  0.96326 0.03674
                    741:     freexexit2 possible for memory heap.
                    742: 
                    743:   h Pij x                         | pij_nom  ficrestpij
                    744:    # Cov Agex agex+h hpijx with i,j= 1-1 1-2     1-3     2-1     2-2     2-3
                    745:        1  85   85    1.00000             0.00000 0.00000 0.00000 1.00000 0.00000
                    746:        1  85   86    0.68299             0.22291 0.09410 0.71093 0.00000 0.28907
                    747: 
                    748:        1  65   99    0.00364             0.00322 0.99314 0.00350 0.00310 0.99340
                    749:        1  65  100    0.00214             0.00204 0.99581 0.00206 0.00196 0.99597
                    750:   variance of p one-step probabilities varprob  | prob_nom   ficresprob #One-step probabilities and stand. devi in ()
                    751:    Standard deviation of one-step probabilities | probcor_nom   ficresprobcor #One-step probabilities and correlation matrix
                    752:    Matrix of variance covariance of one-step probabilities |  probcov_nom ficresprobcov #One-step probabilities and covariance matrix
                    753: 
1.126     brouard   754:   forecasting if prevfcast==1 prevforecast call prevalence()
                    755:   health expectancies
                    756:   Variance-covariance of DFLE
                    757:   prevalence()
                    758:    movingaverage()
                    759:   varevsij() 
                    760:   if popbased==1 varevsij(,popbased)
                    761:   total life expectancies
                    762:   Variance of period (stable) prevalence
                    763:  end
                    764: */
                    765: 
1.187     brouard   766: /* #define DEBUG */
                    767: /* #define DEBUGBRENT */
1.203     brouard   768: /* #define DEBUGLINMIN */
                    769: /* #define DEBUGHESS */
                    770: #define DEBUGHESSIJ
1.224     brouard   771: /* #define LINMINORIGINAL  /\* Don't use loop on scale in linmin (accepting nan) *\/ */
1.165     brouard   772: #define POWELL /* Instead of NLOPT */
1.224     brouard   773: #define POWELLNOF3INFF1TEST /* Skip test */
1.186     brouard   774: /* #define POWELLORIGINAL /\* Don't use Directest to decide new direction but original Powell test *\/ */
                    775: /* #define MNBRAKORIGINAL /\* Don't use mnbrak fix *\/ */
1.126     brouard   776: 
                    777: #include <math.h>
                    778: #include <stdio.h>
                    779: #include <stdlib.h>
                    780: #include <string.h>
1.226   ! brouard   781: #include <ctype.h>
1.159     brouard   782: 
                    783: #ifdef _WIN32
                    784: #include <io.h>
1.172     brouard   785: #include <windows.h>
                    786: #include <tchar.h>
1.159     brouard   787: #else
1.126     brouard   788: #include <unistd.h>
1.159     brouard   789: #endif
1.126     brouard   790: 
                    791: #include <limits.h>
                    792: #include <sys/types.h>
1.171     brouard   793: 
                    794: #if defined(__GNUC__)
                    795: #include <sys/utsname.h> /* Doesn't work on Windows */
                    796: #endif
                    797: 
1.126     brouard   798: #include <sys/stat.h>
                    799: #include <errno.h>
1.159     brouard   800: /* extern int errno; */
1.126     brouard   801: 
1.157     brouard   802: /* #ifdef LINUX */
                    803: /* #include <time.h> */
                    804: /* #include "timeval.h" */
                    805: /* #else */
                    806: /* #include <sys/time.h> */
                    807: /* #endif */
                    808: 
1.126     brouard   809: #include <time.h>
                    810: 
1.136     brouard   811: #ifdef GSL
                    812: #include <gsl/gsl_errno.h>
                    813: #include <gsl/gsl_multimin.h>
                    814: #endif
                    815: 
1.167     brouard   816: 
1.162     brouard   817: #ifdef NLOPT
                    818: #include <nlopt.h>
                    819: typedef struct {
                    820:   double (* function)(double [] );
                    821: } myfunc_data ;
                    822: #endif
                    823: 
1.126     brouard   824: /* #include <libintl.h> */
                    825: /* #define _(String) gettext (String) */
                    826: 
1.141     brouard   827: #define MAXLINE 1024 /* Was 256. Overflow with 312 with 2 states and 4 covariates. Should be ok */
1.126     brouard   828: 
                    829: #define GNUPLOTPROGRAM "gnuplot"
                    830: /*#define GNUPLOTPROGRAM "..\\gp37mgw\\wgnuplot"*/
                    831: #define FILENAMELENGTH 132
                    832: 
                    833: #define        GLOCK_ERROR_NOPATH              -1      /* empty path */
                    834: #define        GLOCK_ERROR_GETCWD              -2      /* cannot get cwd */
                    835: 
1.144     brouard   836: #define MAXPARM 128 /**< Maximum number of parameters for the optimization */
                    837: #define NPARMAX 64 /**< (nlstate+ndeath-1)*nlstate*ncovmodel */
1.126     brouard   838: 
                    839: #define NINTERVMAX 8
1.144     brouard   840: #define NLSTATEMAX 8 /**< Maximum number of live states (for func) */
                    841: #define NDEATHMAX 8 /**< Maximum number of dead states (for func) */
                    842: #define NCOVMAX 20 /**< Maximum number of covariates, including generated covariates V1*V2 */
1.197     brouard   843: #define codtabm(h,k)  (1 & (h-1) >> (k-1))+1
1.211     brouard   844: /*#define decodtabm(h,k,cptcoveff)= (h <= (1<<cptcoveff)?(((h-1) >> (k-1)) & 1) +1 : -1)*/
                    845: #define decodtabm(h,k,cptcoveff) (((h-1) >> (k-1)) & 1) +1 
1.126     brouard   846: #define MAXN 20000
1.144     brouard   847: #define YEARM 12. /**< Number of months per year */
1.218     brouard   848: /* #define AGESUP 130 */
                    849: #define AGESUP 150
                    850: #define AGEMARGE 25 /* Marge for agemin and agemax for(iage=agemin-AGEMARGE; iage <= agemax+3+AGEMARGE; iage++) */
1.126     brouard   851: #define AGEBASE 40
1.194     brouard   852: #define AGEOVERFLOW 1.e20
1.164     brouard   853: #define AGEGOMP 10 /**< Minimal age for Gompertz adjustment */
1.157     brouard   854: #ifdef _WIN32
                    855: #define DIRSEPARATOR '\\'
                    856: #define CHARSEPARATOR "\\"
                    857: #define ODIRSEPARATOR '/'
                    858: #else
1.126     brouard   859: #define DIRSEPARATOR '/'
                    860: #define CHARSEPARATOR "/"
                    861: #define ODIRSEPARATOR '\\'
                    862: #endif
                    863: 
1.226   ! brouard   864: /* $Id: imach.c,v 1.225 2016/07/12 08:40:03 brouard Exp $ */
1.126     brouard   865: /* $State: Exp $ */
1.196     brouard   866: #include "version.h"
                    867: char version[]=__IMACH_VERSION__;
1.224     brouard   868: 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";
1.226   ! brouard   869: char fullversion[]="$Revision: 1.225 $ $Date: 2016/07/12 08:40:03 $"; 
1.126     brouard   870: char strstart[80];
                    871: char optionfilext[10], optionfilefiname[FILENAMELENGTH];
1.130     brouard   872: int erreur=0, nberr=0, nbwarn=0; /* Error number, number of errors number of warnings  */
1.187     brouard   873: int nagesqr=0, nforce=0; /* nagesqr=1 if model is including age*age, number of forces */
1.145     brouard   874: /* Number of covariates model=V2+V1+ V3*age+V2*V4 */
                    875: int cptcovn=0; /**< cptcovn number of covariates added in the model (excepting constant and age and age*product) */
                    876: int cptcovt=0; /**< cptcovt number of covariates added in the model (excepting constant and age) */
1.225     brouard   877: int cptcovs=0; /**< cptcovs number of simple covariates in the model V2+V1 =2 */
                    878: int cptcovsnq=0; /**< cptcovsnq number of simple covariates in the model but non quantitative V2+V1 =2 */
1.145     brouard   879: int cptcovage=0; /**< Number of covariates with age: V3*age only =1 */
                    880: int cptcovprodnoage=0; /**< Number of covariate products without age */   
                    881: int cptcoveff=0; /* Total number of covariates to vary for printing results */
1.224     brouard   882: int ncoveff=0; /* Total number of effective covariates in the model */
1.225     brouard   883: int nqfveff=0; /**< nqfveff Number of Quantitative Fixed Variables Effective */
1.224     brouard   884: int ntveff=0; /**< ntveff number of effective time varying variables */
                    885: int nqtveff=0; /**< ntqveff number of effective time varying quantitative variables */
1.145     brouard   886: int cptcov=0; /* Working variable */
1.218     brouard   887: int ncovcombmax=NCOVMAX; /* Maximum calculated number of covariate combination = pow(2, cptcoveff) */
1.126     brouard   888: int npar=NPARMAX;
                    889: int nlstate=2; /* Number of live states */
                    890: int ndeath=1; /* Number of dead states */
1.130     brouard   891: int ncovmodel=0, ncovcol=0;     /* Total number of covariables including constant a12*1 +b12*x ncovmodel=2 */
1.223     brouard   892: int  nqv=0, ntv=0, nqtv=0;    /* Total number of quantitative variables, time variable (dummy), quantitative and time variable */ 
1.126     brouard   893: int popbased=0;
                    894: 
                    895: int *wav; /* Number of waves for this individuual 0 is possible */
1.130     brouard   896: int maxwav=0; /* Maxim number of waves */
                    897: int jmin=0, jmax=0; /* min, max spacing between 2 waves */
                    898: int ijmin=0, ijmax=0; /* Individuals having jmin and jmax */ 
                    899: int gipmx=0, gsw=0; /* Global variables on the number of contributions 
1.126     brouard   900:                   to the likelihood and the sum of weights (done by funcone)*/
1.130     brouard   901: int mle=1, weightopt=0;
1.126     brouard   902: int **mw; /* mw[mi][i] is number of the mi wave for this individual */
                    903: int **dh; /* dh[mi][i] is number of steps between mi,mi+1 for this individual */
                    904: int **bh; /* bh[mi][i] is the bias (+ or -) for this individual if the delay between
                    905:           * wave mi and wave mi+1 is not an exact multiple of stepm. */
1.162     brouard   906: int countcallfunc=0;  /* Count the number of calls to func */
1.130     brouard   907: double jmean=1; /* Mean space between 2 waves */
1.145     brouard   908: double **matprod2(); /* test */
1.126     brouard   909: double **oldm, **newm, **savm; /* Working pointers to matrices */
                    910: double **oldms, **newms, **savms; /* Fixed working pointers to matrices */
1.218     brouard   911: double  **ddnewms, **ddoldms, **ddsavms; /* for freeing later */
                    912: 
1.136     brouard   913: /*FILE *fic ; */ /* Used in readdata only */
1.217     brouard   914: FILE *ficpar, *ficparo,*ficres, *ficresp, *ficresphtm, *ficresphtmfr, *ficrespl, *ficresplb,*ficrespij, *ficrespijb, *ficrest,*ficresf, *ficresfb,*ficrespop;
1.126     brouard   915: FILE *ficlog, *ficrespow;
1.130     brouard   916: int globpr=0; /* Global variable for printing or not */
1.126     brouard   917: double fretone; /* Only one call to likelihood */
1.130     brouard   918: long ipmx=0; /* Number of contributions */
1.126     brouard   919: double sw; /* Sum of weights */
                    920: char filerespow[FILENAMELENGTH];
                    921: char fileresilk[FILENAMELENGTH]; /* File of individual contributions to the likelihood */
                    922: FILE *ficresilk;
                    923: FILE *ficgp,*ficresprob,*ficpop, *ficresprobcov, *ficresprobcor;
                    924: FILE *ficresprobmorprev;
                    925: FILE *fichtm, *fichtmcov; /* Html File */
                    926: FILE *ficreseij;
                    927: char filerese[FILENAMELENGTH];
                    928: FILE *ficresstdeij;
                    929: char fileresstde[FILENAMELENGTH];
                    930: FILE *ficrescveij;
                    931: char filerescve[FILENAMELENGTH];
                    932: FILE  *ficresvij;
                    933: char fileresv[FILENAMELENGTH];
                    934: FILE  *ficresvpl;
                    935: char fileresvpl[FILENAMELENGTH];
                    936: char title[MAXLINE];
1.217     brouard   937: char optionfile[FILENAMELENGTH], datafile[FILENAMELENGTH],  filerespl[FILENAMELENGTH],  fileresplb[FILENAMELENGTH];
1.126     brouard   938: char plotcmd[FILENAMELENGTH], pplotcmd[FILENAMELENGTH];
                    939: char tmpout[FILENAMELENGTH],  tmpout2[FILENAMELENGTH]; 
                    940: char command[FILENAMELENGTH];
                    941: int  outcmd=0;
                    942: 
1.217     brouard   943: char fileres[FILENAMELENGTH], filerespij[FILENAMELENGTH], filerespijb[FILENAMELENGTH], filereso[FILENAMELENGTH], rfileres[FILENAMELENGTH];
1.202     brouard   944: char fileresu[FILENAMELENGTH]; /* fileres without r in front */
1.126     brouard   945: char filelog[FILENAMELENGTH]; /* Log file */
                    946: char filerest[FILENAMELENGTH];
                    947: char fileregp[FILENAMELENGTH];
                    948: char popfile[FILENAMELENGTH];
                    949: 
                    950: char optionfilegnuplot[FILENAMELENGTH], optionfilehtm[FILENAMELENGTH], optionfilehtmcov[FILENAMELENGTH] ;
                    951: 
1.157     brouard   952: /* struct timeval start_time, end_time, curr_time, last_time, forecast_time; */
                    953: /* struct timezone tzp; */
                    954: /* extern int gettimeofday(); */
                    955: struct tm tml, *gmtime(), *localtime();
                    956: 
                    957: extern time_t time();
                    958: 
                    959: struct tm start_time, end_time, curr_time, last_time, forecast_time;
                    960: time_t  rstart_time, rend_time, rcurr_time, rlast_time, rforecast_time; /* raw time */
                    961: struct tm tm;
                    962: 
1.126     brouard   963: char strcurr[80], strfor[80];
                    964: 
                    965: char *endptr;
                    966: long lval;
                    967: double dval;
                    968: 
                    969: #define NR_END 1
                    970: #define FREE_ARG char*
                    971: #define FTOL 1.0e-10
                    972: 
                    973: #define NRANSI 
                    974: #define ITMAX 200 
                    975: 
                    976: #define TOL 2.0e-4 
                    977: 
                    978: #define CGOLD 0.3819660 
                    979: #define ZEPS 1.0e-10 
                    980: #define SHFT(a,b,c,d) (a)=(b);(b)=(c);(c)=(d); 
                    981: 
                    982: #define GOLD 1.618034 
                    983: #define GLIMIT 100.0 
                    984: #define TINY 1.0e-20 
                    985: 
                    986: static double maxarg1,maxarg2;
                    987: #define FMAX(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)>(maxarg2)? (maxarg1):(maxarg2))
                    988: #define FMIN(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)<(maxarg2)? (maxarg1):(maxarg2))
                    989:   
                    990: #define SIGN(a,b) ((b)>0.0 ? fabs(a) : -fabs(a))
                    991: #define rint(a) floor(a+0.5)
1.166     brouard   992: /* http://www.thphys.uni-heidelberg.de/~robbers/cmbeasy/doc/html/myutils_8h-source.html */
1.183     brouard   993: #define mytinydouble 1.0e-16
1.166     brouard   994: /* #define DEQUAL(a,b) (fabs((a)-(b))<mytinydouble) */
                    995: /* http://www.thphys.uni-heidelberg.de/~robbers/cmbeasy/doc/html/mynrutils_8h-source.html */
                    996: /* static double dsqrarg; */
                    997: /* #define DSQR(a) (DEQUAL((dsqrarg=(a)),0.0) ? 0.0 : dsqrarg*dsqrarg) */
1.126     brouard   998: static double sqrarg;
                    999: #define SQR(a) ((sqrarg=(a)) == 0.0 ? 0.0 :sqrarg*sqrarg)
                   1000: #define SWAP(a,b) {temp=(a);(a)=(b);(b)=temp;} 
                   1001: int agegomp= AGEGOMP;
                   1002: 
                   1003: int imx; 
                   1004: int stepm=1;
                   1005: /* Stepm, step in month: minimum step interpolation*/
                   1006: 
                   1007: int estepm;
                   1008: /* Estepm, step in month to interpolate survival function in order to approximate Life Expectancy*/
                   1009: 
                   1010: int m,nb;
                   1011: long *num;
1.197     brouard  1012: int firstpass=0, lastpass=4,*cod, *cens;
1.192     brouard  1013: int *ncodemax;  /* ncodemax[j]= Number of modalities of the j th
                   1014:                   covariate for which somebody answered excluding 
                   1015:                   undefined. Usually 2: 0 and 1. */
                   1016: int *ncodemaxwundef;  /* ncodemax[j]= Number of modalities of the j th
                   1017:                             covariate for which somebody answered including 
                   1018:                             undefined. Usually 3: -1, 0 and 1. */
1.126     brouard  1019: double **agev,*moisnais, *annais, *moisdc, *andc,**mint, **anint;
1.218     brouard  1020: double **pmmij, ***probs; /* Global pointer */
1.219     brouard  1021: double ***mobaverage, ***mobaverages; /* New global variable */
1.126     brouard  1022: double *ageexmed,*agecens;
                   1023: double dateintmean=0;
                   1024: 
                   1025: double *weight;
                   1026: int **s; /* Status */
1.141     brouard  1027: double *agedc;
1.145     brouard  1028: double  **covar; /**< covar[j,i], value of jth covariate for individual i,
1.141     brouard  1029:                  * covar=matrix(0,NCOVMAX,1,n); 
1.187     brouard  1030:                  * cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*age; */
1.225     brouard  1031: double **coqvar; /* Fixed quantitative covariate iqv */
                   1032: double ***cotvar; /* Time varying covariate itv */
                   1033: double ***cotqvar; /* Time varying quantitative covariate itqv */
1.141     brouard  1034: double  idx; 
                   1035: int **nbcode, *Tvar; /**< model=V2 => Tvar[1]= 2 */
1.226   ! brouard  1036: int *Typevar; /**< 0 for simple covariate (dummy, quantitative, fixed or varying), 1 for age product, 2 for  product */
        !          1037: int *Fixed; /** Fixed[Tvar[k]] 0=fixed, 1 varying, 2 fixed with age product, 3 varying with age product */ 
        !          1038: int *Dummy; /** Dummy[Tvar[k]] 0=dummy (0 1), 1 quantitative (single or product without age), 2 dummy with age product, 3 quant with age product */ 
1.197     brouard  1039: int *Tage;
1.145     brouard  1040: int *Ndum; /** Freq of modality (tricode */
1.200     brouard  1041: /* int **codtab;*/ /**< codtab=imatrix(1,100,1,10); */
1.220     brouard  1042: int **Tvard, *Tprod, cptcovprod, *Tvaraff, *invalidvarcomb;
1.126     brouard  1043: double *lsurv, *lpop, *tpop;
                   1044: 
1.143     brouard  1045: double ftol=FTOL; /**< Tolerance for computing Max Likelihood */
                   1046: double ftolhess; /**< Tolerance for computing hessian */
1.126     brouard  1047: 
                   1048: /**************** split *************************/
                   1049: static int split( char *path, char *dirc, char *name, char *ext, char *finame )
                   1050: {
                   1051:   /* From a file name with (full) path (either Unix or Windows) we extract the directory (dirc)
                   1052:      the name of the file (name), its extension only (ext) and its first part of the name (finame)
                   1053:   */ 
                   1054:   char *ss;                            /* pointer */
1.186     brouard  1055:   int  l1=0, l2=0;                             /* length counters */
1.126     brouard  1056: 
                   1057:   l1 = strlen(path );                  /* length of path */
                   1058:   if ( l1 == 0 ) return( GLOCK_ERROR_NOPATH );
                   1059:   ss= strrchr( path, DIRSEPARATOR );           /* find last / */
                   1060:   if ( ss == NULL ) {                  /* no directory, so determine current directory */
                   1061:     strcpy( name, path );              /* we got the fullname name because no directory */
                   1062:     /*if(strrchr(path, ODIRSEPARATOR )==NULL)
                   1063:       printf("Warning you should use %s as a separator\n",DIRSEPARATOR);*/
                   1064:     /* get current working directory */
                   1065:     /*    extern  char* getcwd ( char *buf , int len);*/
1.184     brouard  1066: #ifdef WIN32
                   1067:     if (_getcwd( dirc, FILENAME_MAX ) == NULL ) {
                   1068: #else
                   1069:        if (getcwd(dirc, FILENAME_MAX) == NULL) {
                   1070: #endif
1.126     brouard  1071:       return( GLOCK_ERROR_GETCWD );
                   1072:     }
                   1073:     /* got dirc from getcwd*/
                   1074:     printf(" DIRC = %s \n",dirc);
1.205     brouard  1075:   } else {                             /* strip directory from path */
1.126     brouard  1076:     ss++;                              /* after this, the filename */
                   1077:     l2 = strlen( ss );                 /* length of filename */
                   1078:     if ( l2 == 0 ) return( GLOCK_ERROR_NOPATH );
                   1079:     strcpy( name, ss );                /* save file name */
                   1080:     strncpy( dirc, path, l1 - l2 );    /* now the directory */
1.186     brouard  1081:     dirc[l1-l2] = '\0';                        /* add zero */
1.126     brouard  1082:     printf(" DIRC2 = %s \n",dirc);
                   1083:   }
                   1084:   /* We add a separator at the end of dirc if not exists */
                   1085:   l1 = strlen( dirc );                 /* length of directory */
                   1086:   if( dirc[l1-1] != DIRSEPARATOR ){
                   1087:     dirc[l1] =  DIRSEPARATOR;
                   1088:     dirc[l1+1] = 0; 
                   1089:     printf(" DIRC3 = %s \n",dirc);
                   1090:   }
                   1091:   ss = strrchr( name, '.' );           /* find last / */
                   1092:   if (ss >0){
                   1093:     ss++;
                   1094:     strcpy(ext,ss);                    /* save extension */
                   1095:     l1= strlen( name);
                   1096:     l2= strlen(ss)+1;
                   1097:     strncpy( finame, name, l1-l2);
                   1098:     finame[l1-l2]= 0;
                   1099:   }
                   1100: 
                   1101:   return( 0 );                         /* we're done */
                   1102: }
                   1103: 
                   1104: 
                   1105: /******************************************/
                   1106: 
                   1107: void replace_back_to_slash(char *s, char*t)
                   1108: {
                   1109:   int i;
                   1110:   int lg=0;
                   1111:   i=0;
                   1112:   lg=strlen(t);
                   1113:   for(i=0; i<= lg; i++) {
                   1114:     (s[i] = t[i]);
                   1115:     if (t[i]== '\\') s[i]='/';
                   1116:   }
                   1117: }
                   1118: 
1.132     brouard  1119: char *trimbb(char *out, char *in)
1.137     brouard  1120: { /* Trim multiple blanks in line but keeps first blanks if line starts with blanks */
1.132     brouard  1121:   char *s;
                   1122:   s=out;
                   1123:   while (*in != '\0'){
1.137     brouard  1124:     while( *in == ' ' && *(in+1) == ' '){ /* && *(in+1) != '\0'){*/
1.132     brouard  1125:       in++;
                   1126:     }
                   1127:     *out++ = *in++;
                   1128:   }
                   1129:   *out='\0';
                   1130:   return s;
                   1131: }
                   1132: 
1.187     brouard  1133: /* char *substrchaine(char *out, char *in, char *chain) */
                   1134: /* { */
                   1135: /*   /\* Substract chain 'chain' from 'in', return and output 'out' *\/ */
                   1136: /*   char *s, *t; */
                   1137: /*   t=in;s=out; */
                   1138: /*   while ((*in != *chain) && (*in != '\0')){ */
                   1139: /*     *out++ = *in++; */
                   1140: /*   } */
                   1141: 
                   1142: /*   /\* *in matches *chain *\/ */
                   1143: /*   while ((*in++ == *chain++) && (*in != '\0')){ */
                   1144: /*     printf("*in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
                   1145: /*   } */
                   1146: /*   in--; chain--; */
                   1147: /*   while ( (*in != '\0')){ */
                   1148: /*     printf("Bef *in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
                   1149: /*     *out++ = *in++; */
                   1150: /*     printf("Aft *in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
                   1151: /*   } */
                   1152: /*   *out='\0'; */
                   1153: /*   out=s; */
                   1154: /*   return out; */
                   1155: /* } */
                   1156: char *substrchaine(char *out, char *in, char *chain)
                   1157: {
                   1158:   /* Substract chain 'chain' from 'in', return and output 'out' */
                   1159:   /* in="V1+V1*age+age*age+V2", chain="age*age" */
                   1160: 
                   1161:   char *strloc;
                   1162: 
                   1163:   strcpy (out, in); 
                   1164:   strloc = strstr(out, chain); /* strloc points to out at age*age+V2 */
                   1165:   printf("Bef strloc=%s chain=%s out=%s \n", strloc, chain, out);
                   1166:   if(strloc != NULL){ 
                   1167:     /* will affect out */ /* strloc+strlenc(chain)=+V2 */ /* Will also work in Unicode */
                   1168:     memmove(strloc,strloc+strlen(chain), strlen(strloc+strlen(chain))+1);
                   1169:     /* strcpy (strloc, strloc +strlen(chain));*/
                   1170:   }
                   1171:   printf("Aft strloc=%s chain=%s in=%s out=%s \n", strloc, chain, in, out);
                   1172:   return out;
                   1173: }
                   1174: 
                   1175: 
1.145     brouard  1176: char *cutl(char *blocc, char *alocc, char *in, char occ)
                   1177: {
1.187     brouard  1178:   /* cuts string in into blocc and alocc where blocc ends before FIRST occurence of char 'occ' 
1.145     brouard  1179:      and alocc starts after first occurence of char 'occ' : ex cutv(blocc,alocc,"abcdef2ghi2j",'2')
1.187     brouard  1180:      gives blocc="abcdef" and alocc="ghi2j".
1.145     brouard  1181:      If occ is not found blocc is null and alocc is equal to in. Returns blocc
                   1182:   */
1.160     brouard  1183:   char *s, *t;
1.145     brouard  1184:   t=in;s=in;
                   1185:   while ((*in != occ) && (*in != '\0')){
                   1186:     *alocc++ = *in++;
                   1187:   }
                   1188:   if( *in == occ){
                   1189:     *(alocc)='\0';
                   1190:     s=++in;
                   1191:   }
                   1192:  
                   1193:   if (s == t) {/* occ not found */
                   1194:     *(alocc-(in-s))='\0';
                   1195:     in=s;
                   1196:   }
                   1197:   while ( *in != '\0'){
                   1198:     *blocc++ = *in++;
                   1199:   }
                   1200: 
                   1201:   *blocc='\0';
                   1202:   return t;
                   1203: }
1.137     brouard  1204: char *cutv(char *blocc, char *alocc, char *in, char occ)
                   1205: {
1.187     brouard  1206:   /* cuts string in into blocc and alocc where blocc ends before LAST occurence of char 'occ' 
1.137     brouard  1207:      and alocc starts after last occurence of char 'occ' : ex cutv(blocc,alocc,"abcdef2ghi2j",'2')
                   1208:      gives blocc="abcdef2ghi" and alocc="j".
                   1209:      If occ is not found blocc is null and alocc is equal to in. Returns alocc
                   1210:   */
                   1211:   char *s, *t;
                   1212:   t=in;s=in;
                   1213:   while (*in != '\0'){
                   1214:     while( *in == occ){
                   1215:       *blocc++ = *in++;
                   1216:       s=in;
                   1217:     }
                   1218:     *blocc++ = *in++;
                   1219:   }
                   1220:   if (s == t) /* occ not found */
                   1221:     *(blocc-(in-s))='\0';
                   1222:   else
                   1223:     *(blocc-(in-s)-1)='\0';
                   1224:   in=s;
                   1225:   while ( *in != '\0'){
                   1226:     *alocc++ = *in++;
                   1227:   }
                   1228: 
                   1229:   *alocc='\0';
                   1230:   return s;
                   1231: }
                   1232: 
1.126     brouard  1233: int nbocc(char *s, char occ)
                   1234: {
                   1235:   int i,j=0;
                   1236:   int lg=20;
                   1237:   i=0;
                   1238:   lg=strlen(s);
                   1239:   for(i=0; i<= lg; i++) {
                   1240:   if  (s[i] == occ ) j++;
                   1241:   }
                   1242:   return j;
                   1243: }
                   1244: 
1.137     brouard  1245: /* void cutv(char *u,char *v, char*t, char occ) */
                   1246: /* { */
                   1247: /*   /\* cuts string t into u and v where u ends before last occurence of char 'occ'  */
                   1248: /*      and v starts after last occurence of char 'occ' : ex cutv(u,v,"abcdef2ghi2j",'2') */
                   1249: /*      gives u="abcdef2ghi" and v="j" *\/ */
                   1250: /*   int i,lg,j,p=0; */
                   1251: /*   i=0; */
                   1252: /*   lg=strlen(t); */
                   1253: /*   for(j=0; j<=lg-1; j++) { */
                   1254: /*     if((t[j]!= occ) && (t[j+1]== occ)) p=j+1; */
                   1255: /*   } */
1.126     brouard  1256: 
1.137     brouard  1257: /*   for(j=0; j<p; j++) { */
                   1258: /*     (u[j] = t[j]); */
                   1259: /*   } */
                   1260: /*      u[p]='\0'; */
1.126     brouard  1261: 
1.137     brouard  1262: /*    for(j=0; j<= lg; j++) { */
                   1263: /*     if (j>=(p+1))(v[j-p-1] = t[j]); */
                   1264: /*   } */
                   1265: /* } */
1.126     brouard  1266: 
1.160     brouard  1267: #ifdef _WIN32
                   1268: char * strsep(char **pp, const char *delim)
                   1269: {
                   1270:   char *p, *q;
                   1271:          
                   1272:   if ((p = *pp) == NULL)
                   1273:     return 0;
                   1274:   if ((q = strpbrk (p, delim)) != NULL)
                   1275:   {
                   1276:     *pp = q + 1;
                   1277:     *q = '\0';
                   1278:   }
                   1279:   else
                   1280:     *pp = 0;
                   1281:   return p;
                   1282: }
                   1283: #endif
                   1284: 
1.126     brouard  1285: /********************** nrerror ********************/
                   1286: 
                   1287: void nrerror(char error_text[])
                   1288: {
                   1289:   fprintf(stderr,"ERREUR ...\n");
                   1290:   fprintf(stderr,"%s\n",error_text);
                   1291:   exit(EXIT_FAILURE);
                   1292: }
                   1293: /*********************** vector *******************/
                   1294: double *vector(int nl, int nh)
                   1295: {
                   1296:   double *v;
                   1297:   v=(double *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(double)));
                   1298:   if (!v) nrerror("allocation failure in vector");
                   1299:   return v-nl+NR_END;
                   1300: }
                   1301: 
                   1302: /************************ free vector ******************/
                   1303: void free_vector(double*v, int nl, int nh)
                   1304: {
                   1305:   free((FREE_ARG)(v+nl-NR_END));
                   1306: }
                   1307: 
                   1308: /************************ivector *******************************/
                   1309: int *ivector(long nl,long nh)
                   1310: {
                   1311:   int *v;
                   1312:   v=(int *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(int)));
                   1313:   if (!v) nrerror("allocation failure in ivector");
                   1314:   return v-nl+NR_END;
                   1315: }
                   1316: 
                   1317: /******************free ivector **************************/
                   1318: void free_ivector(int *v, long nl, long nh)
                   1319: {
                   1320:   free((FREE_ARG)(v+nl-NR_END));
                   1321: }
                   1322: 
                   1323: /************************lvector *******************************/
                   1324: long *lvector(long nl,long nh)
                   1325: {
                   1326:   long *v;
                   1327:   v=(long *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(long)));
                   1328:   if (!v) nrerror("allocation failure in ivector");
                   1329:   return v-nl+NR_END;
                   1330: }
                   1331: 
                   1332: /******************free lvector **************************/
                   1333: void free_lvector(long *v, long nl, long nh)
                   1334: {
                   1335:   free((FREE_ARG)(v+nl-NR_END));
                   1336: }
                   1337: 
                   1338: /******************* imatrix *******************************/
                   1339: int **imatrix(long nrl, long nrh, long ncl, long nch) 
                   1340:      /* allocate a int matrix with subscript range m[nrl..nrh][ncl..nch] */ 
                   1341: { 
                   1342:   long i, nrow=nrh-nrl+1,ncol=nch-ncl+1; 
                   1343:   int **m; 
                   1344:   
                   1345:   /* allocate pointers to rows */ 
                   1346:   m=(int **) malloc((size_t)((nrow+NR_END)*sizeof(int*))); 
                   1347:   if (!m) nrerror("allocation failure 1 in matrix()"); 
                   1348:   m += NR_END; 
                   1349:   m -= nrl; 
                   1350:   
                   1351:   
                   1352:   /* allocate rows and set pointers to them */ 
                   1353:   m[nrl]=(int *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(int))); 
                   1354:   if (!m[nrl]) nrerror("allocation failure 2 in matrix()"); 
                   1355:   m[nrl] += NR_END; 
                   1356:   m[nrl] -= ncl; 
                   1357:   
                   1358:   for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol; 
                   1359:   
                   1360:   /* return pointer to array of pointers to rows */ 
                   1361:   return m; 
                   1362: } 
                   1363: 
                   1364: /****************** free_imatrix *************************/
                   1365: void free_imatrix(m,nrl,nrh,ncl,nch)
                   1366:       int **m;
                   1367:       long nch,ncl,nrh,nrl; 
                   1368:      /* free an int matrix allocated by imatrix() */ 
                   1369: { 
                   1370:   free((FREE_ARG) (m[nrl]+ncl-NR_END)); 
                   1371:   free((FREE_ARG) (m+nrl-NR_END)); 
                   1372: } 
                   1373: 
                   1374: /******************* matrix *******************************/
                   1375: double **matrix(long nrl, long nrh, long ncl, long nch)
                   1376: {
                   1377:   long i, nrow=nrh-nrl+1, ncol=nch-ncl+1;
                   1378:   double **m;
                   1379: 
                   1380:   m=(double **) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
                   1381:   if (!m) nrerror("allocation failure 1 in matrix()");
                   1382:   m += NR_END;
                   1383:   m -= nrl;
                   1384: 
                   1385:   m[nrl]=(double *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
                   1386:   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
                   1387:   m[nrl] += NR_END;
                   1388:   m[nrl] -= ncl;
                   1389: 
                   1390:   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
                   1391:   return m;
1.145     brouard  1392:   /* print *(*(m+1)+70) or print m[1][70]; print m+1 or print &(m[1]) or &(m[1][0])
                   1393: m[i] = address of ith row of the table. &(m[i]) is its value which is another adress
                   1394: that of m[i][0]. In order to get the value p m[i][0] but it is unitialized.
1.126     brouard  1395:    */
                   1396: }
                   1397: 
                   1398: /*************************free matrix ************************/
                   1399: void free_matrix(double **m, long nrl, long nrh, long ncl, long nch)
                   1400: {
                   1401:   free((FREE_ARG)(m[nrl]+ncl-NR_END));
                   1402:   free((FREE_ARG)(m+nrl-NR_END));
                   1403: }
                   1404: 
                   1405: /******************* ma3x *******************************/
                   1406: double ***ma3x(long nrl, long nrh, long ncl, long nch, long nll, long nlh)
                   1407: {
                   1408:   long i, j, nrow=nrh-nrl+1, ncol=nch-ncl+1, nlay=nlh-nll+1;
                   1409:   double ***m;
                   1410: 
                   1411:   m=(double ***) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
                   1412:   if (!m) nrerror("allocation failure 1 in matrix()");
                   1413:   m += NR_END;
                   1414:   m -= nrl;
                   1415: 
                   1416:   m[nrl]=(double **) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
                   1417:   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
                   1418:   m[nrl] += NR_END;
                   1419:   m[nrl] -= ncl;
                   1420: 
                   1421:   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
                   1422: 
                   1423:   m[nrl][ncl]=(double *) malloc((size_t)((nrow*ncol*nlay+NR_END)*sizeof(double)));
                   1424:   if (!m[nrl][ncl]) nrerror("allocation failure 3 in matrix()");
                   1425:   m[nrl][ncl] += NR_END;
                   1426:   m[nrl][ncl] -= nll;
                   1427:   for (j=ncl+1; j<=nch; j++) 
                   1428:     m[nrl][j]=m[nrl][j-1]+nlay;
                   1429:   
                   1430:   for (i=nrl+1; i<=nrh; i++) {
                   1431:     m[i][ncl]=m[i-1l][ncl]+ncol*nlay;
                   1432:     for (j=ncl+1; j<=nch; j++) 
                   1433:       m[i][j]=m[i][j-1]+nlay;
                   1434:   }
                   1435:   return m; 
                   1436:   /*  gdb: p *(m+1) <=> p m[1] and p (m+1) <=> p (m+1) <=> p &(m[1])
                   1437:            &(m[i][j][k]) <=> *((*(m+i) + j)+k)
                   1438:   */
                   1439: }
                   1440: 
                   1441: /*************************free ma3x ************************/
                   1442: void free_ma3x(double ***m, long nrl, long nrh, long ncl, long nch,long nll, long nlh)
                   1443: {
                   1444:   free((FREE_ARG)(m[nrl][ncl]+ nll-NR_END));
                   1445:   free((FREE_ARG)(m[nrl]+ncl-NR_END));
                   1446:   free((FREE_ARG)(m+nrl-NR_END));
                   1447: }
                   1448: 
                   1449: /*************** function subdirf ***********/
                   1450: char *subdirf(char fileres[])
                   1451: {
                   1452:   /* Caution optionfilefiname is hidden */
                   1453:   strcpy(tmpout,optionfilefiname);
                   1454:   strcat(tmpout,"/"); /* Add to the right */
                   1455:   strcat(tmpout,fileres);
                   1456:   return tmpout;
                   1457: }
                   1458: 
                   1459: /*************** function subdirf2 ***********/
                   1460: char *subdirf2(char fileres[], char *preop)
                   1461: {
                   1462:   
                   1463:   /* Caution optionfilefiname is hidden */
                   1464:   strcpy(tmpout,optionfilefiname);
                   1465:   strcat(tmpout,"/");
                   1466:   strcat(tmpout,preop);
                   1467:   strcat(tmpout,fileres);
                   1468:   return tmpout;
                   1469: }
                   1470: 
                   1471: /*************** function subdirf3 ***********/
                   1472: char *subdirf3(char fileres[], char *preop, char *preop2)
                   1473: {
                   1474:   
                   1475:   /* Caution optionfilefiname is hidden */
                   1476:   strcpy(tmpout,optionfilefiname);
                   1477:   strcat(tmpout,"/");
                   1478:   strcat(tmpout,preop);
                   1479:   strcat(tmpout,preop2);
                   1480:   strcat(tmpout,fileres);
                   1481:   return tmpout;
                   1482: }
1.213     brouard  1483:  
                   1484: /*************** function subdirfext ***********/
                   1485: char *subdirfext(char fileres[], char *preop, char *postop)
                   1486: {
                   1487:   
                   1488:   strcpy(tmpout,preop);
                   1489:   strcat(tmpout,fileres);
                   1490:   strcat(tmpout,postop);
                   1491:   return tmpout;
                   1492: }
1.126     brouard  1493: 
1.213     brouard  1494: /*************** function subdirfext3 ***********/
                   1495: char *subdirfext3(char fileres[], char *preop, char *postop)
                   1496: {
                   1497:   
                   1498:   /* Caution optionfilefiname is hidden */
                   1499:   strcpy(tmpout,optionfilefiname);
                   1500:   strcat(tmpout,"/");
                   1501:   strcat(tmpout,preop);
                   1502:   strcat(tmpout,fileres);
                   1503:   strcat(tmpout,postop);
                   1504:   return tmpout;
                   1505: }
                   1506:  
1.162     brouard  1507: char *asc_diff_time(long time_sec, char ascdiff[])
                   1508: {
                   1509:   long sec_left, days, hours, minutes;
                   1510:   days = (time_sec) / (60*60*24);
                   1511:   sec_left = (time_sec) % (60*60*24);
                   1512:   hours = (sec_left) / (60*60) ;
                   1513:   sec_left = (sec_left) %(60*60);
                   1514:   minutes = (sec_left) /60;
                   1515:   sec_left = (sec_left) % (60);
                   1516:   sprintf(ascdiff,"%ld day(s) %ld hour(s) %ld minute(s) %ld second(s)",days, hours, minutes, sec_left);  
                   1517:   return ascdiff;
                   1518: }
                   1519: 
1.126     brouard  1520: /***************** f1dim *************************/
                   1521: extern int ncom; 
                   1522: extern double *pcom,*xicom;
                   1523: extern double (*nrfunc)(double []); 
                   1524:  
                   1525: double f1dim(double x) 
                   1526: { 
                   1527:   int j; 
                   1528:   double f;
                   1529:   double *xt; 
                   1530:  
                   1531:   xt=vector(1,ncom); 
                   1532:   for (j=1;j<=ncom;j++) xt[j]=pcom[j]+x*xicom[j]; 
                   1533:   f=(*nrfunc)(xt); 
                   1534:   free_vector(xt,1,ncom); 
                   1535:   return f; 
                   1536: } 
                   1537: 
                   1538: /*****************brent *************************/
                   1539: double brent(double ax, double bx, double cx, double (*f)(double), double tol,         double *xmin) 
1.187     brouard  1540: {
                   1541:   /* Given a function f, and given a bracketing triplet of abscissas ax, bx, cx (such that bx is
                   1542:    * between ax and cx, and f(bx) is less than both f(ax) and f(cx) ), this routine isolates
                   1543:    * the minimum to a fractional precision of about tol using Brent’s method. The abscissa of
                   1544:    * the minimum is returned as xmin, and the minimum function value is returned as brent , the
                   1545:    * returned function value. 
                   1546:   */
1.126     brouard  1547:   int iter; 
                   1548:   double a,b,d,etemp;
1.159     brouard  1549:   double fu=0,fv,fw,fx;
1.164     brouard  1550:   double ftemp=0.;
1.126     brouard  1551:   double p,q,r,tol1,tol2,u,v,w,x,xm; 
                   1552:   double e=0.0; 
                   1553:  
                   1554:   a=(ax < cx ? ax : cx); 
                   1555:   b=(ax > cx ? ax : cx); 
                   1556:   x=w=v=bx; 
                   1557:   fw=fv=fx=(*f)(x); 
                   1558:   for (iter=1;iter<=ITMAX;iter++) { 
                   1559:     xm=0.5*(a+b); 
                   1560:     tol2=2.0*(tol1=tol*fabs(x)+ZEPS); 
                   1561:     /*         if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret)))*/
                   1562:     printf(".");fflush(stdout);
                   1563:     fprintf(ficlog,".");fflush(ficlog);
1.162     brouard  1564: #ifdef DEBUGBRENT
1.126     brouard  1565:     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);
                   1566:     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);
                   1567:     /*         if ((fabs(x-xm) <= (tol2-0.5*(b-a)))||(2.0*fabs(fu-ftemp) <= ftol*1.e-2*(fabs(fu)+fabs(ftemp)))) { */
                   1568: #endif
                   1569:     if (fabs(x-xm) <= (tol2-0.5*(b-a))){ 
                   1570:       *xmin=x; 
                   1571:       return fx; 
                   1572:     } 
                   1573:     ftemp=fu;
                   1574:     if (fabs(e) > tol1) { 
                   1575:       r=(x-w)*(fx-fv); 
                   1576:       q=(x-v)*(fx-fw); 
                   1577:       p=(x-v)*q-(x-w)*r; 
                   1578:       q=2.0*(q-r); 
                   1579:       if (q > 0.0) p = -p; 
                   1580:       q=fabs(q); 
                   1581:       etemp=e; 
                   1582:       e=d; 
                   1583:       if (fabs(p) >= fabs(0.5*q*etemp) || p <= q*(a-x) || p >= q*(b-x)) 
1.224     brouard  1584:                                d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
1.126     brouard  1585:       else { 
1.224     brouard  1586:                                d=p/q; 
                   1587:                                u=x+d; 
                   1588:                                if (u-a < tol2 || b-u < tol2) 
                   1589:                                        d=SIGN(tol1,xm-x); 
1.126     brouard  1590:       } 
                   1591:     } else { 
                   1592:       d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
                   1593:     } 
                   1594:     u=(fabs(d) >= tol1 ? x+d : x+SIGN(tol1,d)); 
                   1595:     fu=(*f)(u); 
                   1596:     if (fu <= fx) { 
                   1597:       if (u >= x) a=x; else b=x; 
                   1598:       SHFT(v,w,x,u) 
1.183     brouard  1599:       SHFT(fv,fw,fx,fu) 
                   1600:     } else { 
                   1601:       if (u < x) a=u; else b=u; 
                   1602:       if (fu <= fw || w == x) { 
1.224     brouard  1603:                                v=w; 
                   1604:                                w=u; 
                   1605:                                fv=fw; 
                   1606:                                fw=fu; 
1.183     brouard  1607:       } else if (fu <= fv || v == x || v == w) { 
1.224     brouard  1608:                                v=u; 
                   1609:                                fv=fu; 
1.183     brouard  1610:       } 
                   1611:     } 
1.126     brouard  1612:   } 
                   1613:   nrerror("Too many iterations in brent"); 
                   1614:   *xmin=x; 
                   1615:   return fx; 
                   1616: } 
                   1617: 
                   1618: /****************** mnbrak ***********************/
                   1619: 
                   1620: void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, double *fc, 
                   1621:            double (*func)(double)) 
1.183     brouard  1622: { /* Given a function func , and given distinct initial points ax and bx , this routine searches in
                   1623: the downhill direction (defined by the function as evaluated at the initial points) and returns
                   1624: new points ax , bx , cx that bracket a minimum of the function. Also returned are the function
                   1625: values at the three points, fa, fb , and fc such that fa > fb and fb < fc.
                   1626:    */
1.126     brouard  1627:   double ulim,u,r,q, dum;
                   1628:   double fu; 
1.187     brouard  1629: 
                   1630:   double scale=10.;
                   1631:   int iterscale=0;
                   1632: 
                   1633:   *fa=(*func)(*ax); /*  xta[j]=pcom[j]+(*ax)*xicom[j]; fa=f(xta[j])*/
                   1634:   *fb=(*func)(*bx); /*  xtb[j]=pcom[j]+(*bx)*xicom[j]; fb=f(xtb[j]) */
                   1635: 
                   1636: 
                   1637:   /* while(*fb != *fb){ /\* *ax should be ok, reducing distance to *ax *\/ */
                   1638:   /*   printf("Warning mnbrak *fb = %lf, *bx=%lf *ax=%lf *fa==%lf iter=%d\n",*fb, *bx, *ax, *fa, iterscale++); */
                   1639:   /*   *bx = *ax - (*ax - *bx)/scale; */
                   1640:   /*   *fb=(*func)(*bx);  /\*  xtb[j]=pcom[j]+(*bx)*xicom[j]; fb=f(xtb[j]) *\/ */
                   1641:   /* } */
                   1642: 
1.126     brouard  1643:   if (*fb > *fa) { 
                   1644:     SHFT(dum,*ax,*bx,dum) 
1.183     brouard  1645:     SHFT(dum,*fb,*fa,dum) 
                   1646:   } 
1.126     brouard  1647:   *cx=(*bx)+GOLD*(*bx-*ax); 
                   1648:   *fc=(*func)(*cx); 
1.183     brouard  1649: #ifdef DEBUG
1.224     brouard  1650:   printf("mnbrak0 a=%lf *fa=%lf, b=%lf *fb=%lf, c=%lf *fc=%lf\n",*ax,*fa,*bx,*fb,*cx, *fc);
                   1651:   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  1652: #endif
1.224     brouard  1653:   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  1654:     r=(*bx-*ax)*(*fb-*fc); 
1.224     brouard  1655:     q=(*bx-*cx)*(*fb-*fa); /* What if fa=inf */
1.126     brouard  1656:     u=(*bx)-((*bx-*cx)*q-(*bx-*ax)*r)/ 
1.183     brouard  1657:       (2.0*SIGN(FMAX(fabs(q-r),TINY),q-r)); /* Minimum abscissa of a parabolic estimated from (a,fa), (b,fb) and (c,fc). */
                   1658:     ulim=(*bx)+GLIMIT*(*cx-*bx); /* Maximum abscissa where function should be evaluated */
                   1659:     if ((*bx-u)*(u-*cx) > 0.0) { /* if u_p is between b and c */
1.126     brouard  1660:       fu=(*func)(u); 
1.163     brouard  1661: #ifdef DEBUG
                   1662:       /* f(x)=A(x-u)**2+f(u) */
                   1663:       double A, fparabu; 
                   1664:       A= (*fb - *fa)/(*bx-*ax)/(*bx+*ax-2*u);
                   1665:       fparabu= *fa - A*(*ax-u)*(*ax-u);
1.224     brouard  1666:       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);
                   1667:       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  1668:       /* And thus,it can be that fu > *fc even if fparabu < *fc */
                   1669:       /* mnbrak (*ax=7.666299858533, *fa=299039.693133272231), (*bx=8.595447774979, *fb=298976.598289369489),
                   1670:         (*cx=10.098840694817, *fc=298946.631474258087),  (*u=9.852501168332, fu=298948.773013752128, fparabu=298945.434711494134) */
                   1671:       /* In that case, there is no bracket in the output! Routine is wrong with many consequences.*/
1.163     brouard  1672: #endif 
1.184     brouard  1673: #ifdef MNBRAKORIGINAL
1.183     brouard  1674: #else
1.191     brouard  1675: /*       if (fu > *fc) { */
                   1676: /* #ifdef DEBUG */
                   1677: /*       printf("mnbrak4  fu > fc \n"); */
                   1678: /*       fprintf(ficlog, "mnbrak4 fu > fc\n"); */
                   1679: /* #endif */
                   1680: /*     /\* 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 *\\/  *\/ */
                   1681: /*     /\* SHFT(*fa,*fc,fu,*fc) /\\* (b, u, c) is a bracket while test fb > fc will be fu > fc  will exit *\\/ *\/ */
                   1682: /*     dum=u; /\* Shifting c and u *\/ */
                   1683: /*     u = *cx; */
                   1684: /*     *cx = dum; */
                   1685: /*     dum = fu; */
                   1686: /*     fu = *fc; */
                   1687: /*     *fc =dum; */
                   1688: /*       } else { /\* end *\/ */
                   1689: /* #ifdef DEBUG */
                   1690: /*       printf("mnbrak3  fu < fc \n"); */
                   1691: /*       fprintf(ficlog, "mnbrak3 fu < fc\n"); */
                   1692: /* #endif */
                   1693: /*     dum=u; /\* Shifting c and u *\/ */
                   1694: /*     u = *cx; */
                   1695: /*     *cx = dum; */
                   1696: /*     dum = fu; */
                   1697: /*     fu = *fc; */
                   1698: /*     *fc =dum; */
                   1699: /*       } */
1.224     brouard  1700: #ifdef DEBUGMNBRAK
                   1701:                 double A, fparabu; 
                   1702:      A= (*fb - *fa)/(*bx-*ax)/(*bx+*ax-2*u);
                   1703:      fparabu= *fa - A*(*ax-u)*(*ax-u);
                   1704:      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);
                   1705:      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  1706: #endif
1.191     brouard  1707:       dum=u; /* Shifting c and u */
                   1708:       u = *cx;
                   1709:       *cx = dum;
                   1710:       dum = fu;
                   1711:       fu = *fc;
                   1712:       *fc =dum;
1.183     brouard  1713: #endif
1.162     brouard  1714:     } else if ((*cx-u)*(u-ulim) > 0.0) { /* u is after c but before ulim */
1.183     brouard  1715: #ifdef DEBUG
1.224     brouard  1716:       printf("\nmnbrak2  u=%lf after c=%lf but before ulim\n",u,*cx);
                   1717:       fprintf(ficlog,"\nmnbrak2  u=%lf after c=%lf but before ulim\n",u,*cx);
1.183     brouard  1718: #endif
1.126     brouard  1719:       fu=(*func)(u); 
                   1720:       if (fu < *fc) { 
1.183     brouard  1721: #ifdef DEBUG
1.224     brouard  1722:                                printf("\nmnbrak2  u=%lf after c=%lf but before ulim=%lf AND fu=%lf < %lf=fc\n",u,*cx,ulim,fu, *fc);
                   1723:                          fprintf(ficlog,"\nmnbrak2  u=%lf after c=%lf but before ulim=%lf AND fu=%lf < %lf=fc\n",u,*cx,ulim,fu, *fc);
                   1724: #endif
                   1725:                          SHFT(*bx,*cx,u,*cx+GOLD*(*cx-*bx)) 
                   1726:                                SHFT(*fb,*fc,fu,(*func)(u)) 
                   1727: #ifdef DEBUG
                   1728:                                        printf("\nmnbrak2 shift GOLD c=%lf",*cx+GOLD*(*cx-*bx));
1.183     brouard  1729: #endif
                   1730:       } 
1.162     brouard  1731:     } else if ((u-ulim)*(ulim-*cx) >= 0.0) { /* u outside ulim (verifying that ulim is beyond c) */
1.183     brouard  1732: #ifdef DEBUG
1.224     brouard  1733:       printf("\nmnbrak2  u=%lf outside ulim=%lf (verifying that ulim is beyond c=%lf)\n",u,ulim,*cx);
                   1734:       fprintf(ficlog,"\nmnbrak2  u=%lf outside ulim=%lf (verifying that ulim is beyond c=%lf)\n",u,ulim,*cx);
1.183     brouard  1735: #endif
1.126     brouard  1736:       u=ulim; 
                   1737:       fu=(*func)(u); 
1.183     brouard  1738:     } else { /* u could be left to b (if r > q parabola has a maximum) */
                   1739: #ifdef DEBUG
1.224     brouard  1740:       printf("\nmnbrak2  u=%lf could be left to b=%lf (if r=%lf > q=%lf parabola has a maximum)\n",u,*bx,r,q);
                   1741:       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  1742: #endif
1.126     brouard  1743:       u=(*cx)+GOLD*(*cx-*bx); 
                   1744:       fu=(*func)(u); 
1.224     brouard  1745: #ifdef DEBUG
                   1746:       printf("\nmnbrak2 new u=%lf fu=%lf shifted gold left from c=%lf and b=%lf \n",u,fu,*cx,*bx);
                   1747:       fprintf(ficlog,"\nmnbrak2 new u=%lf fu=%lf shifted gold left from c=%lf and b=%lf \n",u,fu,*cx,*bx);
                   1748: #endif
1.183     brouard  1749:     } /* end tests */
1.126     brouard  1750:     SHFT(*ax,*bx,*cx,u) 
1.183     brouard  1751:     SHFT(*fa,*fb,*fc,fu) 
                   1752: #ifdef DEBUG
1.224     brouard  1753:       printf("\nmnbrak2 shift (*ax=%.12f, *fa=%.12lf), (*bx=%.12f, *fb=%.12lf), (*cx=%.12f, *fc=%.12lf)\n",*ax,*fa,*bx,*fb,*cx,*fc);
                   1754:       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  1755: #endif
                   1756:   } /* 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  1757: } 
                   1758: 
                   1759: /*************** linmin ************************/
1.162     brouard  1760: /* Given an n -dimensional point p[1..n] and an n -dimensional direction xi[1..n] , moves and
                   1761: resets p to where the function func(p) takes on a minimum along the direction xi from p ,
                   1762: and replaces xi by the actual vector displacement that p was moved. Also returns as fret
                   1763: the value of func at the returned location p . This is actually all accomplished by calling the
                   1764: routines mnbrak and brent .*/
1.126     brouard  1765: int ncom; 
                   1766: double *pcom,*xicom;
                   1767: double (*nrfunc)(double []); 
                   1768:  
1.224     brouard  1769: #ifdef LINMINORIGINAL
1.126     brouard  1770: void linmin(double p[], double xi[], int n, double *fret,double (*func)(double [])) 
1.224     brouard  1771: #else
                   1772: void linmin(double p[], double xi[], int n, double *fret,double (*func)(double []), int *flat) 
                   1773: #endif
1.126     brouard  1774: { 
                   1775:   double brent(double ax, double bx, double cx, 
                   1776:               double (*f)(double), double tol, double *xmin); 
                   1777:   double f1dim(double x); 
                   1778:   void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, 
                   1779:              double *fc, double (*func)(double)); 
                   1780:   int j; 
                   1781:   double xx,xmin,bx,ax; 
                   1782:   double fx,fb,fa;
1.187     brouard  1783: 
1.203     brouard  1784: #ifdef LINMINORIGINAL
                   1785: #else
                   1786:   double scale=10., axs, xxs; /* Scale added for infinity */
                   1787: #endif
                   1788:   
1.126     brouard  1789:   ncom=n; 
                   1790:   pcom=vector(1,n); 
                   1791:   xicom=vector(1,n); 
                   1792:   nrfunc=func; 
                   1793:   for (j=1;j<=n;j++) { 
                   1794:     pcom[j]=p[j]; 
1.202     brouard  1795:     xicom[j]=xi[j]; /* Former scale xi[j] of currrent direction i */
1.126     brouard  1796:   } 
1.187     brouard  1797: 
1.203     brouard  1798: #ifdef LINMINORIGINAL
                   1799:   xx=1.;
                   1800: #else
                   1801:   axs=0.0;
                   1802:   xxs=1.;
                   1803:   do{
                   1804:     xx= xxs;
                   1805: #endif
1.187     brouard  1806:     ax=0.;
                   1807:     mnbrak(&ax,&xx,&bx,&fa,&fx,&fb,f1dim);  /* Outputs: xtx[j]=pcom[j]+(*xx)*xicom[j]; fx=f(xtx[j]) */
                   1808:     /* brackets with inputs ax=0 and xx=1, but points, pcom=p, and directions values, xicom=xi, are sent via f1dim(x) */
                   1809:     /* 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))   */
                   1810:     /* Outputs: fa=f(p(j)) and fx=f(p(j) + xxs * xi(j) ) and f(bx)= f(p(j)+ bx* xi(j)) */
                   1811:     /* Given input ax=axs and xx=xxs, xx might be too far from ax to get a finite f(xx) */
                   1812:     /* Searches on line, outputs (ax, xx, bx) such that fx < min(fa and fb) */
                   1813:     /* 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  1814: #ifdef LINMINORIGINAL
                   1815: #else
                   1816:     if (fx != fx){
1.224     brouard  1817:                        xxs=xxs/scale; /* Trying a smaller xx, closer to initial ax=0 */
                   1818:                        printf("|");
                   1819:                        fprintf(ficlog,"|");
1.203     brouard  1820: #ifdef DEBUGLINMIN
1.224     brouard  1821:                        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  1822: #endif
                   1823:     }
1.224     brouard  1824:   }while(fx != fx && xxs > 1.e-5);
1.203     brouard  1825: #endif
                   1826:   
1.191     brouard  1827: #ifdef DEBUGLINMIN
                   1828:   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  1829:   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  1830: #endif
1.224     brouard  1831: #ifdef LINMINORIGINAL
                   1832: #else
                   1833:        if(fb == fx){ /* Flat function in the direction */
                   1834:                xmin=xx;
                   1835:     *flat=1;
                   1836:        }else{
                   1837:     *flat=0;
                   1838: #endif
                   1839:                /*Flat mnbrak2 shift (*ax=0.000000000000, *fa=51626.272983130431), (*bx=-1.618034000000, *fb=51590.149499362531), (*cx=-4.236068025156, *fc=51590.149499362531) */
1.187     brouard  1840:   *fret=brent(ax,xx,bx,f1dim,TOL,&xmin); /* Giving a bracketting triplet (ax, xx, bx), find a minimum, xmin, according to f1dim, *fret(xmin),*/
                   1841:   /* fa = f(p[j] + ax * xi[j]), fx = f(p[j] + xx * xi[j]), fb = f(p[j] + bx * xi[j]) */
                   1842:   /* fmin = f(p[j] + xmin * xi[j]) */
                   1843:   /* P+lambda n in that direction (lambdamin), with TOL between abscisses */
                   1844:   /* f1dim(xmin): for (j=1;j<=ncom;j++) xt[j]=pcom[j]+xmin*xicom[j]; */
1.126     brouard  1845: #ifdef DEBUG
1.224     brouard  1846:   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);
                   1847:   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);
                   1848: #endif
                   1849: #ifdef LINMINORIGINAL
                   1850: #else
                   1851:                        }
1.126     brouard  1852: #endif
1.191     brouard  1853: #ifdef DEBUGLINMIN
                   1854:   printf("linmin end ");
1.202     brouard  1855:   fprintf(ficlog,"linmin end ");
1.191     brouard  1856: #endif
1.126     brouard  1857:   for (j=1;j<=n;j++) { 
1.203     brouard  1858: #ifdef LINMINORIGINAL
                   1859:     xi[j] *= xmin; 
                   1860: #else
                   1861: #ifdef DEBUGLINMIN
                   1862:     if(xxs <1.0)
                   1863:       printf(" before xi[%d]=%12.8f", j,xi[j]);
                   1864: #endif
                   1865:     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) */
                   1866: #ifdef DEBUGLINMIN
                   1867:     if(xxs <1.0)
                   1868:       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 );
                   1869: #endif
                   1870: #endif
1.187     brouard  1871:     p[j] += xi[j]; /* Parameters values are updated accordingly */
1.126     brouard  1872:   } 
1.191     brouard  1873: #ifdef DEBUGLINMIN
1.203     brouard  1874:   printf("\n");
1.191     brouard  1875:   printf("Comparing last *frec(xmin=%12.8f)=%12.8f from Brent and frec(0.)=%12.8f \n", xmin, *fret, (*func)(p));
1.202     brouard  1876:   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  1877:   for (j=1;j<=n;j++) { 
1.202     brouard  1878:     printf(" xi[%d]= %14.10f p[%d]= %12.7f",j,xi[j],j,p[j]);
                   1879:     fprintf(ficlog," xi[%d]= %14.10f p[%d]= %12.7f",j,xi[j],j,p[j]);
                   1880:     if(j % ncovmodel == 0){
1.191     brouard  1881:       printf("\n");
1.202     brouard  1882:       fprintf(ficlog,"\n");
                   1883:     }
1.191     brouard  1884:   }
1.203     brouard  1885: #else
1.191     brouard  1886: #endif
1.126     brouard  1887:   free_vector(xicom,1,n); 
                   1888:   free_vector(pcom,1,n); 
                   1889: } 
                   1890: 
                   1891: 
                   1892: /*************** powell ************************/
1.162     brouard  1893: /*
                   1894: Minimization of a function func of n variables. Input consists of an initial starting point
                   1895: p[1..n] ; an initial matrix xi[1..n][1..n] , whose columns contain the initial set of di-
                   1896: rections (usually the n unit vectors); and ftol , the fractional tolerance in the function value
                   1897: such that failure to decrease by more than this amount on one iteration signals doneness. On
                   1898: output, p is set to the best point found, xi is the then-current direction set, fret is the returned
                   1899: function value at p , and iter is the number of iterations taken. The routine linmin is used.
                   1900:  */
1.224     brouard  1901: #ifdef LINMINORIGINAL
                   1902: #else
                   1903:        int *flatdir; /* Function is vanishing in that direction */
1.225     brouard  1904:        int flat=0, flatd=0; /* Function is vanishing in that direction */
1.224     brouard  1905: #endif
1.126     brouard  1906: void powell(double p[], double **xi, int n, double ftol, int *iter, double *fret, 
                   1907:            double (*func)(double [])) 
                   1908: { 
1.224     brouard  1909: #ifdef LINMINORIGINAL
                   1910:  void linmin(double p[], double xi[], int n, double *fret, 
1.126     brouard  1911:              double (*func)(double [])); 
1.224     brouard  1912: #else 
                   1913:  void linmin(double p[], double xi[], int n, double *fret, 
                   1914:                                                 double (*func)(double []),int *flat); 
                   1915: #endif
1.126     brouard  1916:   int i,ibig,j; 
                   1917:   double del,t,*pt,*ptt,*xit;
1.181     brouard  1918:   double directest;
1.126     brouard  1919:   double fp,fptt;
                   1920:   double *xits;
                   1921:   int niterf, itmp;
1.224     brouard  1922: #ifdef LINMINORIGINAL
                   1923: #else
                   1924: 
                   1925:   flatdir=ivector(1,n); 
                   1926:   for (j=1;j<=n;j++) flatdir[j]=0; 
                   1927: #endif
1.126     brouard  1928: 
                   1929:   pt=vector(1,n); 
                   1930:   ptt=vector(1,n); 
                   1931:   xit=vector(1,n); 
                   1932:   xits=vector(1,n); 
                   1933:   *fret=(*func)(p); 
                   1934:   for (j=1;j<=n;j++) pt[j]=p[j]; 
1.202     brouard  1935:   rcurr_time = time(NULL);  
1.126     brouard  1936:   for (*iter=1;;++(*iter)) { 
1.187     brouard  1937:     fp=(*fret); /* From former iteration or initial value */
1.126     brouard  1938:     ibig=0; 
                   1939:     del=0.0; 
1.157     brouard  1940:     rlast_time=rcurr_time;
                   1941:     /* (void) gettimeofday(&curr_time,&tzp); */
                   1942:     rcurr_time = time(NULL);  
                   1943:     curr_time = *localtime(&rcurr_time);
                   1944:     printf("\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret, rcurr_time-rlast_time, rcurr_time-rstart_time);fflush(stdout);
                   1945:     fprintf(ficlog,"\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret,rcurr_time-rlast_time, rcurr_time-rstart_time); fflush(ficlog);
                   1946: /*     fprintf(ficrespow,"%d %.12f %ld",*iter,*fret,curr_time.tm_sec-start_time.tm_sec); */
1.192     brouard  1947:     for (i=1;i<=n;i++) {
1.126     brouard  1948:       printf(" %d %.12f",i, p[i]);
                   1949:       fprintf(ficlog," %d %.12lf",i, p[i]);
                   1950:       fprintf(ficrespow," %.12lf", p[i]);
                   1951:     }
                   1952:     printf("\n");
                   1953:     fprintf(ficlog,"\n");
                   1954:     fprintf(ficrespow,"\n");fflush(ficrespow);
                   1955:     if(*iter <=3){
1.157     brouard  1956:       tml = *localtime(&rcurr_time);
                   1957:       strcpy(strcurr,asctime(&tml));
                   1958:       rforecast_time=rcurr_time; 
1.126     brouard  1959:       itmp = strlen(strcurr);
                   1960:       if(strcurr[itmp-1]=='\n')  /* Windows outputs with a new line */
1.224     brouard  1961:                                strcurr[itmp-1]='\0';
1.162     brouard  1962:       printf("\nConsidering the time needed for the last iteration #%d: %ld seconds,\n",*iter,rcurr_time-rlast_time);
1.157     brouard  1963:       fprintf(ficlog,"\nConsidering the time needed for this last iteration #%d: %ld seconds,\n",*iter,rcurr_time-rlast_time);
1.126     brouard  1964:       for(niterf=10;niterf<=30;niterf+=10){
1.224     brouard  1965:                                rforecast_time=rcurr_time+(niterf-*iter)*(rcurr_time-rlast_time);
                   1966:                                forecast_time = *localtime(&rforecast_time);
                   1967:                                strcpy(strfor,asctime(&forecast_time));
                   1968:                                itmp = strlen(strfor);
                   1969:                                if(strfor[itmp-1]=='\n')
                   1970:                                        strfor[itmp-1]='\0';
                   1971:                                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);
                   1972:                                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  1973:       }
                   1974:     }
1.187     brouard  1975:     for (i=1;i<=n;i++) { /* For each direction i */
                   1976:       for (j=1;j<=n;j++) xit[j]=xi[j][i]; /* Directions stored from previous iteration with previous scales */
1.126     brouard  1977:       fptt=(*fret); 
                   1978: #ifdef DEBUG
1.203     brouard  1979:       printf("fret=%lf, %lf, %lf \n", *fret, *fret, *fret);
                   1980:       fprintf(ficlog, "fret=%lf, %lf, %lf \n", *fret, *fret, *fret);
1.126     brouard  1981: #endif
1.203     brouard  1982:       printf("%d",i);fflush(stdout); /* print direction (parameter) i */
1.126     brouard  1983:       fprintf(ficlog,"%d",i);fflush(ficlog);
1.224     brouard  1984: #ifdef LINMINORIGINAL
1.188     brouard  1985:       linmin(p,xit,n,fret,func); /* Point p[n]. xit[n] has been loaded for direction i as input.*/
1.224     brouard  1986: #else
                   1987:       linmin(p,xit,n,fret,func,&flat); /* Point p[n]. xit[n] has been loaded for direction i as input.*/
                   1988:                        flatdir[i]=flat; /* Function is vanishing in that direction i */
                   1989: #endif
                   1990:                        /* Outputs are fret(new point p) p is updated and xit rescaled */
1.188     brouard  1991:       if (fabs(fptt-(*fret)) > del) { /* We are keeping the max gain on each of the n directions */
1.224     brouard  1992:                                /* because that direction will be replaced unless the gain del is small */
                   1993:                                /* in comparison with the 'probable' gain, mu^2, with the last average direction. */
                   1994:                                /* Unless the n directions are conjugate some gain in the determinant may be obtained */
                   1995:                                /* with the new direction. */
                   1996:                                del=fabs(fptt-(*fret)); 
                   1997:                                ibig=i; 
1.126     brouard  1998:       } 
                   1999: #ifdef DEBUG
                   2000:       printf("%d %.12e",i,(*fret));
                   2001:       fprintf(ficlog,"%d %.12e",i,(*fret));
                   2002:       for (j=1;j<=n;j++) {
1.224     brouard  2003:                                xits[j]=FMAX(fabs(p[j]-pt[j]),1.e-5);
                   2004:                                printf(" x(%d)=%.12e",j,xit[j]);
                   2005:                                fprintf(ficlog," x(%d)=%.12e",j,xit[j]);
1.126     brouard  2006:       }
                   2007:       for(j=1;j<=n;j++) {
1.225     brouard  2008:                                printf(" p(%d)=%.12e",j,p[j]);
                   2009:                                fprintf(ficlog," p(%d)=%.12e",j,p[j]);
1.126     brouard  2010:       }
                   2011:       printf("\n");
                   2012:       fprintf(ficlog,"\n");
                   2013: #endif
1.187     brouard  2014:     } /* end loop on each direction i */
                   2015:     /* Convergence test will use last linmin estimation (fret) and compare former iteration (fp) */ 
1.188     brouard  2016:     /* But p and xit have been updated at the end of linmin, *fret corresponds to new p, xit  */
1.187     brouard  2017:     /* New value of last point Pn is not computed, P(n-1) */
1.224     brouard  2018:       for(j=1;j<=n;j++) {
1.225     brouard  2019:                                if(flatdir[j] >0){
                   2020:                                        printf(" p(%d)=%lf flat=%d ",j,p[j],flatdir[j]);
                   2021:                                        fprintf(ficlog," p(%d)=%lf flat=%d ",j,p[j],flatdir[j]);
                   2022:                                }
                   2023:                                /* printf("\n"); */
                   2024:                                /* fprintf(ficlog,"\n"); */
                   2025:                        }
1.182     brouard  2026:     if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret))) { /* Did we reach enough precision? */
1.188     brouard  2027:       /* We could compare with a chi^2. chisquare(0.95,ddl=1)=3.84 */
                   2028:       /* By adding age*age in a model, the new -2LL should be lower and the difference follows a */
                   2029:       /* a chisquare statistics with 1 degree. To be significant at the 95% level, it should have */
                   2030:       /* decreased of more than 3.84  */
                   2031:       /* By adding age*age and V1*age the gain (-2LL) should be more than 5.99 (ddl=2) */
                   2032:       /* By using V1+V2+V3, the gain should be  7.82, compared with basic 1+age. */
                   2033:       /* By adding 10 parameters more the gain should be 18.31 */
1.224     brouard  2034:                        
1.188     brouard  2035:       /* Starting the program with initial values given by a former maximization will simply change */
                   2036:       /* the scales of the directions and the directions, because the are reset to canonical directions */
                   2037:       /* Thus the first calls to linmin will give new points and better maximizations until fp-(*fret) is */
                   2038:       /* under the tolerance value. If the tolerance is very small 1.e-9, it could last long.  */
1.126     brouard  2039: #ifdef DEBUG
                   2040:       int k[2],l;
                   2041:       k[0]=1;
                   2042:       k[1]=-1;
                   2043:       printf("Max: %.12e",(*func)(p));
                   2044:       fprintf(ficlog,"Max: %.12e",(*func)(p));
                   2045:       for (j=1;j<=n;j++) {
                   2046:        printf(" %.12e",p[j]);
                   2047:        fprintf(ficlog," %.12e",p[j]);
                   2048:       }
                   2049:       printf("\n");
                   2050:       fprintf(ficlog,"\n");
                   2051:       for(l=0;l<=1;l++) {
                   2052:        for (j=1;j<=n;j++) {
                   2053:          ptt[j]=p[j]+(p[j]-pt[j])*k[l];
                   2054:          printf("l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
                   2055:          fprintf(ficlog,"l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
                   2056:        }
                   2057:        printf("func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
                   2058:        fprintf(ficlog,"func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
                   2059:       }
                   2060: #endif
                   2061: 
1.224     brouard  2062: #ifdef LINMINORIGINAL
                   2063: #else
                   2064:       free_ivector(flatdir,1,n); 
                   2065: #endif
1.126     brouard  2066:       free_vector(xit,1,n); 
                   2067:       free_vector(xits,1,n); 
                   2068:       free_vector(ptt,1,n); 
                   2069:       free_vector(pt,1,n); 
                   2070:       return; 
1.192     brouard  2071:     } /* enough precision */ 
1.126     brouard  2072:     if (*iter == ITMAX) nrerror("powell exceeding maximum iterations."); 
1.181     brouard  2073:     for (j=1;j<=n;j++) { /* Computes the extrapolated point P_0 + 2 (P_n-P_0) */
1.126     brouard  2074:       ptt[j]=2.0*p[j]-pt[j]; 
                   2075:       xit[j]=p[j]-pt[j]; 
                   2076:       pt[j]=p[j]; 
                   2077:     } 
1.181     brouard  2078:     fptt=(*func)(ptt); /* f_3 */
1.224     brouard  2079: #ifdef NODIRECTIONCHANGEDUNTILNITER  /* No change in drections until some iterations are done */
                   2080:                if (*iter <=4) {
1.225     brouard  2081: #else
                   2082: #endif
1.224     brouard  2083: #ifdef POWELLNOF3INFF1TEST    /* skips test F3 <F1 */
1.192     brouard  2084: #else
1.161     brouard  2085:     if (fptt < fp) { /* If extrapolated point is better, decide if we keep that new direction or not */
1.192     brouard  2086: #endif
1.162     brouard  2087:       /* (x1 f1=fp), (x2 f2=*fret), (x3 f3=fptt), (xm fm) */
1.161     brouard  2088:       /* From x1 (P0) distance of x2 is at h and x3 is 2h */
1.162     brouard  2089:       /* Let f"(x2) be the 2nd derivative equal everywhere.  */
                   2090:       /* Then the parabolic through (x1,f1), (x2,f2) and (x3,f3) */
                   2091:       /* will reach at f3 = fm + h^2/2 f"m  ; f" = (f1 -2f2 +f3 ) / h**2 */
1.224     brouard  2092:       /* Conditional for using this new direction is that mu^2 = (f1-2f2+f3)^2 /2 < del or directest <0 */
                   2093:       /* also  lamda^2=(f1-f2)^2/mu² is a parasite solution of powell */
                   2094:       /* For powell, inclusion of this average direction is only if t(del)<0 or del inbetween mu^2 and lambda^2 */
1.161     brouard  2095:       /* t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)-del*SQR(fp-fptt); */
1.224     brouard  2096:       /*  Even if f3 <f1, directest can be negative and t >0 */
                   2097:       /* mu² and del² are equal when f3=f1 */
                   2098:                        /* f3 < f1 : mu² < del <= lambda^2 both test are equivalent */
                   2099:                        /* f3 < f1 : mu² < lambda^2 < del then directtest is negative and powell t is positive */
                   2100:                        /* f3 > f1 : lambda² < mu^2 < del then t is negative and directest >0  */
                   2101:                        /* f3 > f1 : lambda² < del < mu^2 then t is positive and directest >0  */
1.183     brouard  2102: #ifdef NRCORIGINAL
                   2103:       t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)- del*SQR(fp-fptt); /* Original Numerical Recipes in C*/
                   2104: #else
                   2105:       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  2106:       t= t- del*SQR(fp-fptt);
1.183     brouard  2107: #endif
1.202     brouard  2108:       directest = fp-2.0*(*fret)+fptt - 2.0 * del; /* If delta was big enough we change it for a new direction */
1.161     brouard  2109: #ifdef DEBUG
1.181     brouard  2110:       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);
                   2111:       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  2112:       printf("t3= %.12lf, t4= %.12lf, t3*= %.12lf, t4*= %.12lf\n",SQR(fp-(*fret)-del),SQR(fp-fptt),
                   2113:             (fp-(*fret)-del)*(fp-(*fret)-del),(fp-fptt)*(fp-fptt));
                   2114:       fprintf(ficlog,"t3= %.12lf, t4= %.12lf, t3*= %.12lf, t4*= %.12lf\n",SQR(fp-(*fret)-del),SQR(fp-fptt),
                   2115:             (fp-(*fret)-del)*(fp-(*fret)-del),(fp-fptt)*(fp-fptt));
                   2116:       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);
                   2117:       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);
                   2118: #endif
1.183     brouard  2119: #ifdef POWELLORIGINAL
                   2120:       if (t < 0.0) { /* Then we use it for new direction */
                   2121: #else
1.182     brouard  2122:       if (directest*t < 0.0) { /* Contradiction between both tests */
1.224     brouard  2123:                                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  2124:         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  2125:         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  2126:         fprintf(ficlog,"f1-2f2+f3= %.12lf, f1-f2-del= %.12lf, f1-f3= %.12lf\n",fp-2.0*(*fret)+fptt, fp -(*fret) -del, fp-fptt);
                   2127:       } 
1.181     brouard  2128:       if (directest < 0.0) { /* Then we use it for new direction */
                   2129: #endif
1.191     brouard  2130: #ifdef DEBUGLINMIN
1.224     brouard  2131:                                printf("Before linmin in direction P%d-P0\n",n);
                   2132:                                for (j=1;j<=n;j++) {
                   2133:                                        printf(" Before xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   2134:                                        fprintf(ficlog," Before xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   2135:                                        if(j % ncovmodel == 0){
                   2136:                                                printf("\n");
                   2137:                                                fprintf(ficlog,"\n");
                   2138:                                        }
                   2139:                                }
                   2140: #endif
                   2141: #ifdef LINMINORIGINAL
                   2142:                                linmin(p,xit,n,fret,func); /* computes minimum on the extrapolated direction: changes p and rescales xit.*/
                   2143: #else
                   2144:                                linmin(p,xit,n,fret,func,&flat); /* computes minimum on the extrapolated direction: changes p and rescales xit.*/
                   2145:                                flatdir[i]=flat; /* Function is vanishing in that direction i */
1.191     brouard  2146: #endif
1.224     brouard  2147: 
1.191     brouard  2148: #ifdef DEBUGLINMIN
1.224     brouard  2149:                                for (j=1;j<=n;j++) { 
                   2150:                                        printf("After xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   2151:                                        fprintf(ficlog,"After xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   2152:                                        if(j % ncovmodel == 0){
                   2153:                                                printf("\n");
                   2154:                                                fprintf(ficlog,"\n");
                   2155:                                        }
                   2156:                                }
                   2157: #endif
                   2158:                                for (j=1;j<=n;j++) { 
                   2159:                                        xi[j][ibig]=xi[j][n]; /* Replace direction with biggest decrease by last direction n */
                   2160:                                        xi[j][n]=xit[j];      /* and this nth direction by the by the average p_0 p_n */
                   2161:                                }
                   2162: #ifdef LINMINORIGINAL
                   2163: #else
1.225     brouard  2164:                                for (j=1, flatd=0;j<=n;j++) {
                   2165:                                        if(flatdir[j]>0)
                   2166:                                                flatd++;
                   2167:                                }
                   2168:                                if(flatd >0){
                   2169:                                        printf("%d flat directions\n",flatd);
                   2170:                                        fprintf(ficlog,"%d flat directions\n",flatd);
                   2171:                                        for (j=1;j<=n;j++) { 
                   2172:                                                if(flatdir[j]>0){
                   2173:                                                        printf("%d ",j);
                   2174:                                                        fprintf(ficlog,"%d ",j);
                   2175:                                                }
                   2176:                                        }
                   2177:                                        printf("\n");
                   2178:                                        fprintf(ficlog,"\n");
                   2179:                                }
1.191     brouard  2180: #endif
1.224     brouard  2181:                                printf("Gaining to use new average direction of P0 P%d instead of biggest increase direction %d :\n",n,ibig);
                   2182:                                fprintf(ficlog,"Gaining to use new average direction of P0 P%d instead of biggest increase direction %d :\n",n,ibig);
                   2183:                                
1.126     brouard  2184: #ifdef DEBUG
1.224     brouard  2185:                                printf("Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
                   2186:                                fprintf(ficlog,"Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
                   2187:                                for(j=1;j<=n;j++){
                   2188:                                        printf(" %lf",xit[j]);
                   2189:                                        fprintf(ficlog," %lf",xit[j]);
                   2190:                                }
                   2191:                                printf("\n");
                   2192:                                fprintf(ficlog,"\n");
1.126     brouard  2193: #endif
1.192     brouard  2194:       } /* end of t or directest negative */
1.224     brouard  2195: #ifdef POWELLNOF3INFF1TEST
1.192     brouard  2196: #else
1.162     brouard  2197:     } /* end if (fptt < fp)  */
1.192     brouard  2198: #endif
1.225     brouard  2199: #ifdef NODIRECTIONCHANGEDUNTILNITER  /* No change in drections until some iterations are done */
1.224     brouard  2200:                } /*NODIRECTIONCHANGEDUNTILNITER  No change in drections until some iterations are done */
1.225     brouard  2201: #else
1.224     brouard  2202: #endif
1.192     brouard  2203:   } /* loop iteration */ 
1.126     brouard  2204: } 
                   2205: 
                   2206: /**** Prevalence limit (stable or period prevalence)  ****************/
                   2207: 
1.203     brouard  2208: double **prevalim(double **prlim, int nlstate, double x[], double age, double **oldm, double **savm, double ftolpl, int *ncvyear, int ij)
1.126     brouard  2209: {
1.218     brouard  2210:   /* Computes the prevalence limit in each live state at age x and for covariate ij by left multiplying the unit
1.203     brouard  2211:      matrix by transitions matrix until convergence is reached with precision ftolpl */
1.206     brouard  2212:   /* Wx= Wx-1 Px-1= Wx-2 Px-2 Px-1  = Wx-n Px-n ... Px-2 Px-1 I */
                   2213:   /* Wx is row vector: population in state 1, population in state 2, population dead */
                   2214:   /* or prevalence in state 1, prevalence in state 2, 0 */
                   2215:   /* newm is the matrix after multiplications, its rows are identical at a factor */
                   2216:   /* Initial matrix pimij */
                   2217:   /* {0.85204250825084937, 0.13044499163996345, 0.017512500109187184, */
                   2218:   /* 0.090851990222114765, 0.88271245433047185, 0.026435555447413338, */
                   2219:   /*  0,                   0                  , 1} */
                   2220:   /*
                   2221:    * and after some iteration: */
                   2222:   /* {0.45504275246439968, 0.42731458730878791, 0.11764266022681241, */
                   2223:   /*  0.45201005341706885, 0.42865420071559901, 0.11933574586733192, */
                   2224:   /*  0,                   0                  , 1} */
                   2225:   /* And prevalence by suppressing the deaths are close to identical rows in prlim: */
                   2226:   /* {0.51571254859325999, 0.4842874514067399, */
                   2227:   /*  0.51326036147820708, 0.48673963852179264} */
                   2228:   /* If we start from prlim again, prlim tends to a constant matrix */
                   2229: 
1.126     brouard  2230:   int i, ii,j,k;
1.209     brouard  2231:   double *min, *max, *meandiff, maxmax,sumnew=0.;
1.145     brouard  2232:   /* double **matprod2(); */ /* test */
1.218     brouard  2233:   double **out, cov[NCOVMAX+1], **pmij(); /* **pmmij is a global variable feeded with oldms etc */
1.126     brouard  2234:   double **newm;
1.209     brouard  2235:   double agefin, delaymax=200. ; /* 100 Max number of years to converge */
1.203     brouard  2236:   int ncvloop=0;
1.169     brouard  2237:   
1.209     brouard  2238:   min=vector(1,nlstate);
                   2239:   max=vector(1,nlstate);
                   2240:   meandiff=vector(1,nlstate);
                   2241: 
1.218     brouard  2242:        /* Starting with matrix unity */
1.126     brouard  2243:   for (ii=1;ii<=nlstate+ndeath;ii++)
                   2244:     for (j=1;j<=nlstate+ndeath;j++){
                   2245:       oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2246:     }
1.169     brouard  2247:   
                   2248:   cov[1]=1.;
                   2249:   
                   2250:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
1.202     brouard  2251:   /* Start at agefin= age, computes the matrix of passage and loops decreasing agefin until convergence is reached */
1.126     brouard  2252:   for(agefin=age-stepm/YEARM; agefin>=age-delaymax; agefin=agefin-stepm/YEARM){
1.202     brouard  2253:     ncvloop++;
1.126     brouard  2254:     newm=savm;
                   2255:     /* Covariates have to be included here again */
1.138     brouard  2256:     cov[2]=agefin;
1.187     brouard  2257:     if(nagesqr==1)
                   2258:       cov[3]= agefin*agefin;;
1.138     brouard  2259:     for (k=1; k<=cptcovn;k++) {
1.200     brouard  2260:       /* cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
1.218     brouard  2261:                        /* Here comes the value of the covariate 'ij' */
1.200     brouard  2262:       cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)];
1.198     brouard  2263:       /* 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  2264:     }
1.186     brouard  2265:     /*wrong? for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
1.200     brouard  2266:     /* for (k=1; k<=cptcovage;k++) cov[2+nagesqr+Tage[k]]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]*cov[2]; */
                   2267:     for (k=1; k<=cptcovage;k++) cov[2+nagesqr+Tage[k]]=nbcode[Tvar[k]][codtabm(ij,k)]*cov[2];
1.186     brouard  2268:     for (k=1; k<=cptcovprod;k++) /* Useless */
1.200     brouard  2269:       /* cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,Tvard[k][1])] * nbcode[Tvard[k][2]][codtabm(ij,Tvard[k][2])]; */
                   2270:       cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * nbcode[Tvard[k][2]][codtabm(ij,k)];
1.138     brouard  2271:     
                   2272:     /*printf("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/
                   2273:     /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/
                   2274:     /*printf("ij=%d cov[3]=%lf \n",ij, cov[3]);*/
1.145     brouard  2275:     /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
                   2276:     /* out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /\* Bug Valgrind *\/ */
1.218     brouard  2277:                /* age and covariate values of ij are in 'cov' */
1.142     brouard  2278:     out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /* Bug Valgrind */
1.138     brouard  2279:     
1.126     brouard  2280:     savm=oldm;
                   2281:     oldm=newm;
1.209     brouard  2282: 
                   2283:     for(j=1; j<=nlstate; j++){
                   2284:       max[j]=0.;
                   2285:       min[j]=1.;
                   2286:     }
                   2287:     for(i=1;i<=nlstate;i++){
                   2288:       sumnew=0;
                   2289:       for(k=1; k<=ndeath; k++) sumnew+=newm[i][nlstate+k];
                   2290:       for(j=1; j<=nlstate; j++){ 
                   2291:        prlim[i][j]= newm[i][j]/(1-sumnew);
                   2292:        max[j]=FMAX(max[j],prlim[i][j]);
                   2293:        min[j]=FMIN(min[j],prlim[i][j]);
                   2294:       }
                   2295:     }
                   2296: 
1.126     brouard  2297:     maxmax=0.;
1.209     brouard  2298:     for(j=1; j<=nlstate; j++){
                   2299:       meandiff[j]=(max[j]-min[j])/(max[j]+min[j])*2.; /* mean difference for each column */
                   2300:       maxmax=FMAX(maxmax,meandiff[j]);
                   2301:       /* 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  2302:     } /* j loop */
1.203     brouard  2303:     *ncvyear= (int)age- (int)agefin;
1.208     brouard  2304:     /* 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  2305:     if(maxmax < ftolpl){
1.209     brouard  2306:       /* printf("maxmax=%lf ncvloop=%ld, age=%d, agefin=%d ncvyear=%d \n", maxmax, ncvloop, (int)age, (int)agefin, *ncvyear); */
                   2307:       free_vector(min,1,nlstate);
                   2308:       free_vector(max,1,nlstate);
                   2309:       free_vector(meandiff,1,nlstate);
1.126     brouard  2310:       return prlim;
                   2311:     }
1.169     brouard  2312:   } /* age loop */
1.208     brouard  2313:     /* After some age loop it doesn't converge */
1.209     brouard  2314:   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  2315: 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  2316:   /* 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); */
                   2317:   free_vector(min,1,nlstate);
                   2318:   free_vector(max,1,nlstate);
                   2319:   free_vector(meandiff,1,nlstate);
1.208     brouard  2320:   
1.169     brouard  2321:   return prlim; /* should not reach here */
1.126     brouard  2322: }
                   2323: 
1.217     brouard  2324: 
                   2325:  /**** Back Prevalence limit (stable or period prevalence)  ****************/
                   2326: 
1.218     brouard  2327:  /* 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) */
                   2328:  /* 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) */
                   2329:  double **bprevalim(double **bprlim, double ***prevacurrent, int nlstate, double x[], double age, double ftolpl, int *ncvyear, int ij)
1.217     brouard  2330: {
1.218     brouard  2331:   /* Computes the prevalence limit in each live state at age x and covariate ij by left multiplying the unit
1.217     brouard  2332:      matrix by transitions matrix until convergence is reached with precision ftolpl */
                   2333:   /* Wx= Wx-1 Px-1= Wx-2 Px-2 Px-1  = Wx-n Px-n ... Px-2 Px-1 I */
                   2334:   /* Wx is row vector: population in state 1, population in state 2, population dead */
                   2335:   /* or prevalence in state 1, prevalence in state 2, 0 */
                   2336:   /* newm is the matrix after multiplications, its rows are identical at a factor */
                   2337:   /* Initial matrix pimij */
                   2338:   /* {0.85204250825084937, 0.13044499163996345, 0.017512500109187184, */
                   2339:   /* 0.090851990222114765, 0.88271245433047185, 0.026435555447413338, */
                   2340:   /*  0,                   0                  , 1} */
                   2341:   /*
                   2342:    * and after some iteration: */
                   2343:   /* {0.45504275246439968, 0.42731458730878791, 0.11764266022681241, */
                   2344:   /*  0.45201005341706885, 0.42865420071559901, 0.11933574586733192, */
                   2345:   /*  0,                   0                  , 1} */
                   2346:   /* And prevalence by suppressing the deaths are close to identical rows in prlim: */
                   2347:   /* {0.51571254859325999, 0.4842874514067399, */
                   2348:   /*  0.51326036147820708, 0.48673963852179264} */
                   2349:   /* If we start from prlim again, prlim tends to a constant matrix */
                   2350: 
                   2351:   int i, ii,j,k;
                   2352:   double *min, *max, *meandiff, maxmax,sumnew=0.;
                   2353:   /* double **matprod2(); */ /* test */
                   2354:   double **out, cov[NCOVMAX+1], **bmij();
                   2355:   double **newm;
1.218     brouard  2356:   double        **dnewm, **doldm, **dsavm;  /* for use */
                   2357:   double        **oldm, **savm;  /* for use */
                   2358: 
1.217     brouard  2359:   double agefin, delaymax=200. ; /* 100 Max number of years to converge */
                   2360:   int ncvloop=0;
                   2361:   
                   2362:   min=vector(1,nlstate);
                   2363:   max=vector(1,nlstate);
                   2364:   meandiff=vector(1,nlstate);
                   2365: 
1.218     brouard  2366:        dnewm=ddnewms; doldm=ddoldms; dsavm=ddsavms;
                   2367:        oldm=oldms; savm=savms;
                   2368: 
                   2369:        /* Starting with matrix unity */
                   2370:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   2371:                for (j=1;j<=nlstate+ndeath;j++){
1.217     brouard  2372:       oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2373:     }
                   2374:   
                   2375:   cov[1]=1.;
                   2376:   
                   2377:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
                   2378:   /* Start at agefin= age, computes the matrix of passage and loops decreasing agefin until convergence is reached */
1.218     brouard  2379:   /* for(agefin=age+stepm/YEARM; agefin<=age+delaymax; agefin=agefin+stepm/YEARM){ /\* A changer en age *\/ */
                   2380:   for(agefin=age; agefin<AGESUP; agefin=agefin+stepm/YEARM){ /* A changer en age */
1.217     brouard  2381:     ncvloop++;
1.218     brouard  2382:     newm=savm; /* oldm should be kept from previous iteration or unity at start */
                   2383:                /* newm points to the allocated table savm passed by the function it can be written, savm could be reallocated */
1.217     brouard  2384:     /* Covariates have to be included here again */
                   2385:     cov[2]=agefin;
                   2386:     if(nagesqr==1)
                   2387:       cov[3]= agefin*agefin;;
                   2388:     for (k=1; k<=cptcovn;k++) {
                   2389:       /* cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
                   2390:       cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)];
                   2391:       /* 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])]); */
                   2392:     }
                   2393:     /*wrong? for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
                   2394:     /* for (k=1; k<=cptcovage;k++) cov[2+nagesqr+Tage[k]]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]*cov[2]; */
                   2395:     for (k=1; k<=cptcovage;k++) cov[2+nagesqr+Tage[k]]=nbcode[Tvar[k]][codtabm(ij,k)]*cov[2];
                   2396:     for (k=1; k<=cptcovprod;k++) /* Useless */
                   2397:       /* cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,Tvard[k][1])] * nbcode[Tvard[k][2]][codtabm(ij,Tvard[k][2])]; */
                   2398:       cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * nbcode[Tvard[k][2]][codtabm(ij,k)];
                   2399:     
                   2400:     /*printf("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/
                   2401:     /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/
                   2402:     /*printf("ij=%d cov[3]=%lf \n",ij, cov[3]);*/
                   2403:     /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
                   2404:     /* out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /\* Bug Valgrind *\/ */
1.218     brouard  2405:                /* ij should be linked to the correct index of cov */
                   2406:                /* age and covariate values ij are in 'cov', but we need to pass
                   2407:                 * ij for the observed prevalence at age and status and covariate
                   2408:                 * number:  prevacurrent[(int)agefin][ii][ij]
                   2409:                 */
                   2410:     /* 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 *\/ */
                   2411:     /* 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 *\/ */
                   2412:     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  2413:     savm=oldm;
                   2414:     oldm=newm;
                   2415:     for(j=1; j<=nlstate; j++){
                   2416:       max[j]=0.;
                   2417:       min[j]=1.;
                   2418:     }
                   2419:     for(j=1; j<=nlstate; j++){ 
                   2420:       for(i=1;i<=nlstate;i++){
1.218     brouard  2421:                                /* bprlim[i][j]= newm[i][j]/(1-sumnew); */
                   2422:                                bprlim[i][j]= newm[i][j];
                   2423:                                max[i]=FMAX(max[i],bprlim[i][j]); /* Max in line */
                   2424:                                min[i]=FMIN(min[i],bprlim[i][j]);
1.217     brouard  2425:       }
                   2426:     }
1.218     brouard  2427:                
1.217     brouard  2428:     maxmax=0.;
                   2429:     for(i=1; i<=nlstate; i++){
                   2430:       meandiff[i]=(max[i]-min[i])/(max[i]+min[i])*2.; /* mean difference for each column */
                   2431:       maxmax=FMAX(maxmax,meandiff[i]);
                   2432:       /* 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); */
                   2433:     } /* j loop */
                   2434:     *ncvyear= -( (int)age- (int)agefin);
1.218     brouard  2435:     /* printf("Back maxmax=%lf ncvloop=%d, age=%d, agefin=%d ncvyear=%d \n", maxmax, ncvloop, (int)age, (int)agefin, *ncvyear);*/
1.217     brouard  2436:     if(maxmax < ftolpl){
1.220     brouard  2437:       /* printf("OK Back maxmax=%lf ncvloop=%d, age=%d, agefin=%d ncvyear=%d \n", maxmax, ncvloop, (int)age, (int)agefin, *ncvyear); */
1.217     brouard  2438:       free_vector(min,1,nlstate);
                   2439:       free_vector(max,1,nlstate);
                   2440:       free_vector(meandiff,1,nlstate);
                   2441:       return bprlim;
                   2442:     }
                   2443:   } /* age loop */
                   2444:     /* After some age loop it doesn't converge */
                   2445:   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\
                   2446: 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);
                   2447:   /* 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); */
                   2448:   free_vector(min,1,nlstate);
                   2449:   free_vector(max,1,nlstate);
                   2450:   free_vector(meandiff,1,nlstate);
                   2451:   
                   2452:   return bprlim; /* should not reach here */
                   2453: }
                   2454: 
1.126     brouard  2455: /*************** transition probabilities ***************/ 
                   2456: 
                   2457: double **pmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )
                   2458: {
1.138     brouard  2459:   /* According to parameters values stored in x and the covariate's values stored in cov,
                   2460:      computes the probability to be observed in state j being in state i by appying the
                   2461:      model to the ncovmodel covariates (including constant and age).
                   2462:      lnpijopii=ln(pij/pii)= aij+bij*age+cij*v1+dij*v2+... = sum_nc=1^ncovmodel xij(nc)*cov[nc]
                   2463:      and, according on how parameters are entered, the position of the coefficient xij(nc) of the
                   2464:      ncth covariate in the global vector x is given by the formula:
                   2465:      j<i nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel
                   2466:      j>=i nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel
                   2467:      Computes ln(pij/pii) (lnpijopii), deduces pij/pii by exponentiation,
                   2468:      sums on j different of i to get 1-pii/pii, deduces pii, and then all pij.
                   2469:      Outputs ps[i][j] the probability to be observed in j being in j according to
                   2470:      the values of the covariates cov[nc] and corresponding parameter values x[nc+shiftij]
                   2471:   */
                   2472:   double s1, lnpijopii;
1.126     brouard  2473:   /*double t34;*/
1.164     brouard  2474:   int i,j, nc, ii, jj;
1.126     brouard  2475: 
1.223     brouard  2476:   for(i=1; i<= nlstate; i++){
                   2477:     for(j=1; j<i;j++){
                   2478:       for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
                   2479:        /*lnpijopii += param[i][j][nc]*cov[nc];*/
                   2480:        lnpijopii += x[nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel]*cov[nc];
                   2481:        /*       printf("Int j<i s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
                   2482:       }
                   2483:       ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
                   2484:       /*       printf("s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
                   2485:     }
                   2486:     for(j=i+1; j<=nlstate+ndeath;j++){
                   2487:       for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
                   2488:        /*lnpijopii += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];*/
                   2489:        lnpijopii += x[nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel]*cov[nc];
                   2490:        /*        printf("Int j>i s1=%.17e, lnpijopii=%.17e %lx %lx\n",s1,lnpijopii,s1,lnpijopii); */
                   2491:       }
                   2492:       ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
                   2493:     }
                   2494:   }
1.218     brouard  2495:   
1.223     brouard  2496:   for(i=1; i<= nlstate; i++){
                   2497:     s1=0;
                   2498:     for(j=1; j<i; j++){
                   2499:       s1+=exp(ps[i][j]); /* In fact sums pij/pii */
                   2500:       /*printf("debug1 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
                   2501:     }
                   2502:     for(j=i+1; j<=nlstate+ndeath; j++){
                   2503:       s1+=exp(ps[i][j]); /* In fact sums pij/pii */
                   2504:       /*printf("debug2 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
                   2505:     }
                   2506:     /* s1= sum_{j<>i} pij/pii=(1-pii)/pii and thus pii is known from s1 */
                   2507:     ps[i][i]=1./(s1+1.);
                   2508:     /* Computing other pijs */
                   2509:     for(j=1; j<i; j++)
                   2510:       ps[i][j]= exp(ps[i][j])*ps[i][i];
                   2511:     for(j=i+1; j<=nlstate+ndeath; j++)
                   2512:       ps[i][j]= exp(ps[i][j])*ps[i][i];
                   2513:     /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */
                   2514:   } /* end i */
1.218     brouard  2515:   
1.223     brouard  2516:   for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){
                   2517:     for(jj=1; jj<= nlstate+ndeath; jj++){
                   2518:       ps[ii][jj]=0;
                   2519:       ps[ii][ii]=1;
                   2520:     }
                   2521:   }
1.218     brouard  2522:   
                   2523:   
1.223     brouard  2524:   /* for(ii=1; ii<= nlstate+ndeath; ii++){ */
                   2525:   /*   for(jj=1; jj<= nlstate+ndeath; jj++){ */
                   2526:   /*   printf(" pmij  ps[%d][%d]=%lf ",ii,jj,ps[ii][jj]); */
                   2527:   /*   } */
                   2528:   /*   printf("\n "); */
                   2529:   /* } */
                   2530:   /* printf("\n ");printf("%lf ",cov[2]);*/
                   2531:   /*
                   2532:     for(i=1; i<= npar; i++) printf("%f ",x[i]);
1.218     brouard  2533:                goto end;*/
1.223     brouard  2534:   return ps;
1.126     brouard  2535: }
                   2536: 
1.218     brouard  2537: /*************** backward transition probabilities ***************/ 
                   2538: 
                   2539:  /* 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 ) */
                   2540: /* double **bmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate,  double ***prevacurrent, double ***dnewm, double **doldm, double **dsavm, int ij ) */
                   2541:  double **bmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate,  double ***prevacurrent, int ij )
                   2542: {
1.222     brouard  2543:   /* Computes the backward probability at age agefin and covariate ij
                   2544:    * and returns in **ps as well as **bmij.
                   2545:    */
1.218     brouard  2546:   int i, ii, j,k;
1.222     brouard  2547:   
                   2548:   double **out, **pmij();
                   2549:   double sumnew=0.;
1.218     brouard  2550:   double agefin;
1.222     brouard  2551:   
                   2552:   double **dnewm, **dsavm, **doldm;
                   2553:   double **bbmij;
                   2554:   
1.218     brouard  2555:   doldm=ddoldms; /* global pointers */
1.222     brouard  2556:   dnewm=ddnewms;
                   2557:   dsavm=ddsavms;
                   2558:   
                   2559:   agefin=cov[2];
                   2560:   /* bmij *//* age is cov[2], ij is included in cov, but we need for
                   2561:      the observed prevalence (with this covariate ij) */
                   2562:   dsavm=pmij(pmmij,cov,ncovmodel,x,nlstate);
                   2563:   /* We do have the matrix Px in savm  and we need pij */
                   2564:   for (j=1;j<=nlstate+ndeath;j++){
                   2565:     sumnew=0.; /* w1 p11 + w2 p21 only on live states */
                   2566:     for (ii=1;ii<=nlstate;ii++){
                   2567:       sumnew+=dsavm[ii][j]*prevacurrent[(int)agefin][ii][ij];
                   2568:     } /* sumnew is (N11+N21)/N..= N.1/N.. = sum on i of w_i pij */
                   2569:     for (ii=1;ii<=nlstate+ndeath;ii++){
                   2570:       if(sumnew >= 1.e-10){
                   2571:        /* if(agefin >= agemaxpar && agefin <= agemaxpar+stepm/YEARM){ */
                   2572:        /*      doldm[ii][j]=(ii==j ? 1./sumnew : 0.0); */
                   2573:        /* }else if(agefin >= agemaxpar+stepm/YEARM){ */
                   2574:        /*      doldm[ii][j]=(ii==j ? 1./sumnew : 0.0); */
                   2575:        /* }else */
                   2576:        doldm[ii][j]=(ii==j ? 1./sumnew : 0.0);
                   2577:       }else{
                   2578:        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);
                   2579:       }
                   2580:     } /*End ii */
                   2581:   } /* End j, At the end doldm is diag[1/(w_1p1i+w_2 p2i)] */
                   2582:   /* left Product of this diag matrix by dsavm=Px (newm=dsavm*doldm) */
                   2583:   bbmij=matprod2(dnewm, dsavm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, doldm); /* Bug Valgrind */
                   2584:   /* dsavm=doldm; /\* dsavm is now diag [1/(w_1p1i+w_2 p2i)] but can be overwritten*\/ */
                   2585:   /* doldm=dnewm; /\* doldm is now Px * diag [1/(w_1p1i+w_2 p2i)] *\/ */
                   2586:   /* dnewm=dsavm; /\* doldm is now Px * diag [1/(w_1p1i+w_2 p2i)] *\/ */
                   2587:   /* left Product of this matrix by diag matrix of prevalences (savm) */
                   2588:   for (j=1;j<=nlstate+ndeath;j++){
                   2589:     for (ii=1;ii<=nlstate+ndeath;ii++){
                   2590:       dsavm[ii][j]=(ii==j ? prevacurrent[(int)agefin][ii][ij] : 0.0);
                   2591:     }
                   2592:   } /* End j, At the end oldm is diag[1/(w_1p1i+w_2 p2i)] */
                   2593:   ps=matprod2(doldm, dsavm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, dnewm); /* Bug Valgrind */
                   2594:   /* newm or out is now diag[w_i] * Px * diag [1/(w_1p1i+w_2 p2i)] */
                   2595:   /* end bmij */
                   2596:   return ps; 
1.218     brouard  2597: }
1.217     brouard  2598: /*************** transition probabilities ***************/ 
                   2599: 
1.218     brouard  2600: double **bpmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )
1.217     brouard  2601: {
                   2602:   /* According to parameters values stored in x and the covariate's values stored in cov,
                   2603:      computes the probability to be observed in state j being in state i by appying the
                   2604:      model to the ncovmodel covariates (including constant and age).
                   2605:      lnpijopii=ln(pij/pii)= aij+bij*age+cij*v1+dij*v2+... = sum_nc=1^ncovmodel xij(nc)*cov[nc]
                   2606:      and, according on how parameters are entered, the position of the coefficient xij(nc) of the
                   2607:      ncth covariate in the global vector x is given by the formula:
                   2608:      j<i nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel
                   2609:      j>=i nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel
                   2610:      Computes ln(pij/pii) (lnpijopii), deduces pij/pii by exponentiation,
                   2611:      sums on j different of i to get 1-pii/pii, deduces pii, and then all pij.
                   2612:      Outputs ps[i][j] the probability to be observed in j being in j according to
                   2613:      the values of the covariates cov[nc] and corresponding parameter values x[nc+shiftij]
                   2614:   */
                   2615:   double s1, lnpijopii;
                   2616:   /*double t34;*/
                   2617:   int i,j, nc, ii, jj;
                   2618: 
1.218     brouard  2619:        for(i=1; i<= nlstate; i++){
                   2620:                for(j=1; j<i;j++){
                   2621:                        for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
                   2622:                                /*lnpijopii += param[i][j][nc]*cov[nc];*/
                   2623:                                lnpijopii += x[nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel]*cov[nc];
                   2624:                                /*       printf("Int j<i s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
                   2625:                        }
                   2626:                        ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
                   2627:                        /*      printf("s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
                   2628:                }
                   2629:                for(j=i+1; j<=nlstate+ndeath;j++){
                   2630:                        for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
                   2631:                                /*lnpijopii += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];*/
                   2632:                                lnpijopii += x[nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel]*cov[nc];
                   2633:                                /*        printf("Int j>i s1=%.17e, lnpijopii=%.17e %lx %lx\n",s1,lnpijopii,s1,lnpijopii); */
                   2634:                        }
                   2635:                        ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
                   2636:                }
                   2637:        }
                   2638:        
                   2639:        for(i=1; i<= nlstate; i++){
                   2640:                s1=0;
                   2641:                for(j=1; j<i; j++){
                   2642:                        s1+=exp(ps[i][j]); /* In fact sums pij/pii */
                   2643:                        /*printf("debug1 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
                   2644:                }
                   2645:                for(j=i+1; j<=nlstate+ndeath; j++){
                   2646:                        s1+=exp(ps[i][j]); /* In fact sums pij/pii */
                   2647:                        /*printf("debug2 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
                   2648:                }
                   2649:                /* s1= sum_{j<>i} pij/pii=(1-pii)/pii and thus pii is known from s1 */
                   2650:                ps[i][i]=1./(s1+1.);
                   2651:                /* Computing other pijs */
                   2652:                for(j=1; j<i; j++)
                   2653:                        ps[i][j]= exp(ps[i][j])*ps[i][i];
                   2654:                for(j=i+1; j<=nlstate+ndeath; j++)
                   2655:                        ps[i][j]= exp(ps[i][j])*ps[i][i];
                   2656:                /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */
                   2657:        } /* end i */
                   2658:        
                   2659:        for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){
                   2660:                for(jj=1; jj<= nlstate+ndeath; jj++){
                   2661:                        ps[ii][jj]=0;
                   2662:                        ps[ii][ii]=1;
                   2663:                }
                   2664:        }
                   2665:        /* Added for backcast */ /* Transposed matrix too */
                   2666:        for(jj=1; jj<= nlstate+ndeath; jj++){
                   2667:                s1=0.;
                   2668:                for(ii=1; ii<= nlstate+ndeath; ii++){
                   2669:                        s1+=ps[ii][jj];
                   2670:                }
                   2671:                for(ii=1; ii<= nlstate; ii++){
                   2672:                        ps[ii][jj]=ps[ii][jj]/s1;
                   2673:                }
                   2674:        }
                   2675:        /* Transposition */
                   2676:        for(jj=1; jj<= nlstate+ndeath; jj++){
                   2677:                for(ii=jj; ii<= nlstate+ndeath; ii++){
                   2678:                        s1=ps[ii][jj];
                   2679:                        ps[ii][jj]=ps[jj][ii];
                   2680:                        ps[jj][ii]=s1;
                   2681:                }
                   2682:        }
                   2683:        /* for(ii=1; ii<= nlstate+ndeath; ii++){ */
                   2684:        /*   for(jj=1; jj<= nlstate+ndeath; jj++){ */
                   2685:        /*      printf(" pmij  ps[%d][%d]=%lf ",ii,jj,ps[ii][jj]); */
                   2686:        /*   } */
                   2687:        /*   printf("\n "); */
                   2688:        /* } */
                   2689:        /* printf("\n ");printf("%lf ",cov[2]);*/
                   2690:        /*
                   2691:                for(i=1; i<= npar; i++) printf("%f ",x[i]);
                   2692:                goto end;*/
                   2693:        return ps;
1.217     brouard  2694: }
                   2695: 
                   2696: 
1.126     brouard  2697: /**************** Product of 2 matrices ******************/
                   2698: 
1.145     brouard  2699: double **matprod2(double **out, double **in,int nrl, int nrh, int ncl, int nch, int ncolol, int ncoloh, double **b)
1.126     brouard  2700: {
                   2701:   /* Computes the matrix product of in(1,nrh-nrl+1)(1,nch-ncl+1) times
                   2702:      b(1,nch-ncl+1)(1,ncoloh-ncolol+1) into out(...) */
                   2703:   /* in, b, out are matrice of pointers which should have been initialized 
                   2704:      before: only the contents of out is modified. The function returns
                   2705:      a pointer to pointers identical to out */
1.145     brouard  2706:   int i, j, k;
1.126     brouard  2707:   for(i=nrl; i<= nrh; i++)
1.145     brouard  2708:     for(k=ncolol; k<=ncoloh; k++){
                   2709:       out[i][k]=0.;
                   2710:       for(j=ncl; j<=nch; j++)
                   2711:        out[i][k] +=in[i][j]*b[j][k];
                   2712:     }
1.126     brouard  2713:   return out;
                   2714: }
                   2715: 
                   2716: 
                   2717: /************* Higher Matrix Product ***************/
                   2718: 
                   2719: double ***hpxij(double ***po, int nhstepm, double age, int hstepm, double *x, int nlstate, int stepm, double **oldm, double **savm, int ij )
                   2720: {
1.218     brouard  2721:   /* Computes the transition matrix starting at age 'age' and combination of covariate values corresponding to ij over 
1.126     brouard  2722:      'nhstepm*hstepm*stepm' months (i.e. until
                   2723:      age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying 
                   2724:      nhstepm*hstepm matrices. 
                   2725:      Output is stored in matrix po[i][j][h] for h every 'hstepm' step 
                   2726:      (typically every 2 years instead of every month which is too big 
                   2727:      for the memory).
                   2728:      Model is determined by parameters x and covariates have to be 
                   2729:      included manually here. 
                   2730: 
                   2731:      */
                   2732: 
                   2733:   int i, j, d, h, k;
1.131     brouard  2734:   double **out, cov[NCOVMAX+1];
1.126     brouard  2735:   double **newm;
1.187     brouard  2736:   double agexact;
1.214     brouard  2737:   double agebegin, ageend;
1.126     brouard  2738: 
                   2739:   /* Hstepm could be zero and should return the unit matrix */
                   2740:   for (i=1;i<=nlstate+ndeath;i++)
                   2741:     for (j=1;j<=nlstate+ndeath;j++){
                   2742:       oldm[i][j]=(i==j ? 1.0 : 0.0);
                   2743:       po[i][j][0]=(i==j ? 1.0 : 0.0);
                   2744:     }
                   2745:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
                   2746:   for(h=1; h <=nhstepm; h++){
                   2747:     for(d=1; d <=hstepm; d++){
                   2748:       newm=savm;
                   2749:       /* Covariates have to be included here again */
                   2750:       cov[1]=1.;
1.214     brouard  2751:       agexact=age+((h-1)*hstepm + (d-1))*stepm/YEARM; /* age just before transition */
1.187     brouard  2752:       cov[2]=agexact;
                   2753:       if(nagesqr==1)
1.218     brouard  2754:                                cov[3]= agexact*agexact;
1.131     brouard  2755:       for (k=1; k<=cptcovn;k++) 
1.218     brouard  2756:                                cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)];
                   2757:                        /* cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
1.186     brouard  2758:       for (k=1; k<=cptcovage;k++) /* Should start at cptcovn+1 */
1.218     brouard  2759:                                /* cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
                   2760:                                cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
                   2761:                        /* cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,Tvar[Tage[k]])]*cov[2]; */
1.145     brouard  2762:       for (k=1; k<=cptcovprod;k++) /* Useless because included in cptcovn */
1.218     brouard  2763:                                cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)]*nbcode[Tvard[k][2]][codtabm(ij,k)];
                   2764:                        /* 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  2765: 
                   2766: 
                   2767:       /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/
                   2768:       /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/
1.218     brouard  2769:                        /* right multiplication of oldm by the current matrix */
1.126     brouard  2770:       out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, 
                   2771:                   pmij(pmmij,cov,ncovmodel,x,nlstate));
1.217     brouard  2772:       /* if((int)age == 70){ */
                   2773:       /*       printf(" Forward hpxij age=%d agexact=%f d=%d nhstepm=%d hstepm=%d\n", (int) age, agexact, d, nhstepm, hstepm); */
                   2774:       /*       for(i=1; i<=nlstate+ndeath; i++) { */
                   2775:       /*         printf("%d pmmij ",i); */
                   2776:       /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   2777:       /*           printf("%f ",pmmij[i][j]); */
                   2778:       /*         } */
                   2779:       /*         printf(" oldm "); */
                   2780:       /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   2781:       /*           printf("%f ",oldm[i][j]); */
                   2782:       /*         } */
                   2783:       /*         printf("\n"); */
                   2784:       /*       } */
                   2785:       /* } */
1.126     brouard  2786:       savm=oldm;
                   2787:       oldm=newm;
                   2788:     }
                   2789:     for(i=1; i<=nlstate+ndeath; i++)
                   2790:       for(j=1;j<=nlstate+ndeath;j++) {
1.218     brouard  2791:                                po[i][j][h]=newm[i][j];
                   2792:                                /*if(h==nhstepm) printf("po[%d][%d][%d]=%f ",i,j,h,po[i][j][h]);*/
1.126     brouard  2793:       }
1.128     brouard  2794:     /*printf("h=%d ",h);*/
1.126     brouard  2795:   } /* end h */
1.218     brouard  2796:        /*     printf("\n H=%d \n",h); */
1.126     brouard  2797:   return po;
                   2798: }
                   2799: 
1.217     brouard  2800: /************* Higher Back Matrix Product ***************/
1.218     brouard  2801: /* 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  2802: double ***hbxij(double ***po, int nhstepm, double age, int hstepm, double *x, double ***prevacurrent, int nlstate, int stepm, int ij )
1.217     brouard  2803: {
1.218     brouard  2804:   /* Computes the transition matrix starting at age 'age' over
1.217     brouard  2805:      'nhstepm*hstepm*stepm' months (i.e. until
1.218     brouard  2806:      age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying
                   2807:      nhstepm*hstepm matrices.
                   2808:      Output is stored in matrix po[i][j][h] for h every 'hstepm' step
                   2809:      (typically every 2 years instead of every month which is too big
1.217     brouard  2810:      for the memory).
1.218     brouard  2811:      Model is determined by parameters x and covariates have to be
                   2812:      included manually here.
1.217     brouard  2813: 
1.222     brouard  2814:   */
1.217     brouard  2815: 
                   2816:   int i, j, d, h, k;
                   2817:   double **out, cov[NCOVMAX+1];
                   2818:   double **newm;
                   2819:   double agexact;
                   2820:   double agebegin, ageend;
1.222     brouard  2821:   double **oldm, **savm;
1.217     brouard  2822: 
1.222     brouard  2823:   oldm=oldms;savm=savms;
1.217     brouard  2824:   /* Hstepm could be zero and should return the unit matrix */
                   2825:   for (i=1;i<=nlstate+ndeath;i++)
                   2826:     for (j=1;j<=nlstate+ndeath;j++){
                   2827:       oldm[i][j]=(i==j ? 1.0 : 0.0);
                   2828:       po[i][j][0]=(i==j ? 1.0 : 0.0);
                   2829:     }
                   2830:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
                   2831:   for(h=1; h <=nhstepm; h++){
                   2832:     for(d=1; d <=hstepm; d++){
                   2833:       newm=savm;
                   2834:       /* Covariates have to be included here again */
                   2835:       cov[1]=1.;
                   2836:       agexact=age-((h-1)*hstepm + (d-1))*stepm/YEARM; /* age just before transition */
                   2837:       /* agexact=age+((h-1)*hstepm + (d-1))*stepm/YEARM; /\* age just before transition *\/ */
                   2838:       cov[2]=agexact;
                   2839:       if(nagesqr==1)
1.222     brouard  2840:        cov[3]= agexact*agexact;
1.218     brouard  2841:       for (k=1; k<=cptcovn;k++)
1.222     brouard  2842:        cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)];
                   2843:       /* cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
1.217     brouard  2844:       for (k=1; k<=cptcovage;k++) /* Should start at cptcovn+1 */
1.222     brouard  2845:        /* cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
                   2846:        cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
                   2847:       /* cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,Tvar[Tage[k]])]*cov[2]; */
1.217     brouard  2848:       for (k=1; k<=cptcovprod;k++) /* Useless because included in cptcovn */
1.222     brouard  2849:        cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)]*nbcode[Tvard[k][2]][codtabm(ij,k)];
                   2850:       /* 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  2851:                        
                   2852:                        
1.217     brouard  2853:       /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/
                   2854:       /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/
1.218     brouard  2855:       /* Careful transposed matrix */
1.222     brouard  2856:       /* age is in cov[2] */
1.218     brouard  2857:       /* out=matprod2(newm, bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent, dnewm, doldm, dsavm,ij),\ */
1.222     brouard  2858:       /*                                                1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); */
1.218     brouard  2859:       out=matprod2(newm, bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent,ij),\
1.222     brouard  2860:                   1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm);
1.217     brouard  2861:       /* if((int)age == 70){ */
                   2862:       /*       printf(" Backward hbxij age=%d agexact=%f d=%d nhstepm=%d hstepm=%d\n", (int) age, agexact, d, nhstepm, hstepm); */
                   2863:       /*       for(i=1; i<=nlstate+ndeath; i++) { */
                   2864:       /*         printf("%d pmmij ",i); */
                   2865:       /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   2866:       /*           printf("%f ",pmmij[i][j]); */
                   2867:       /*         } */
                   2868:       /*         printf(" oldm "); */
                   2869:       /*         for(j=1;j<=nlstate+ndeath;j++) { */
                   2870:       /*           printf("%f ",oldm[i][j]); */
                   2871:       /*         } */
                   2872:       /*         printf("\n"); */
                   2873:       /*       } */
                   2874:       /* } */
                   2875:       savm=oldm;
                   2876:       oldm=newm;
                   2877:     }
                   2878:     for(i=1; i<=nlstate+ndeath; i++)
                   2879:       for(j=1;j<=nlstate+ndeath;j++) {
1.222     brouard  2880:        po[i][j][h]=newm[i][j];
                   2881:        /*if(h==nhstepm) printf("po[%d][%d][%d]=%f ",i,j,h,po[i][j][h]);*/
1.217     brouard  2882:       }
                   2883:     /*printf("h=%d ",h);*/
                   2884:   } /* end h */
1.222     brouard  2885:   /*     printf("\n H=%d \n",h); */
1.217     brouard  2886:   return po;
                   2887: }
                   2888: 
                   2889: 
1.162     brouard  2890: #ifdef NLOPT
                   2891:   double  myfunc(unsigned n, const double *p1, double *grad, void *pd){
                   2892:   double fret;
                   2893:   double *xt;
                   2894:   int j;
                   2895:   myfunc_data *d2 = (myfunc_data *) pd;
                   2896: /* xt = (p1-1); */
                   2897:   xt=vector(1,n); 
                   2898:   for (j=1;j<=n;j++)   xt[j]=p1[j-1]; /* xt[1]=p1[0] */
                   2899: 
                   2900:   fret=(d2->function)(xt); /*  p xt[1]@8 is fine */
                   2901:   /* fret=(*func)(xt); /\*  p xt[1]@8 is fine *\/ */
                   2902:   printf("Function = %.12lf ",fret);
                   2903:   for (j=1;j<=n;j++) printf(" %d %.8lf", j, xt[j]); 
                   2904:   printf("\n");
                   2905:  free_vector(xt,1,n);
                   2906:   return fret;
                   2907: }
                   2908: #endif
1.126     brouard  2909: 
                   2910: /*************** log-likelihood *************/
                   2911: double func( double *x)
                   2912: {
1.226   ! brouard  2913:   int i, ii, j, k, mi, d, kk;
        !          2914:   int ioffset=0;
        !          2915:   double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1];
        !          2916:   double **out;
        !          2917:   double sw; /* Sum of weights */
        !          2918:   double lli; /* Individual log likelihood */
        !          2919:   int s1, s2;
        !          2920:   int iv=0, iqv=0, itv=0, iqtv=0 ; /* Index of varying covariate, fixed quantitative cov, time varying covariate, quatitative time varying covariate */
        !          2921:   double bbh, survp;
        !          2922:   long ipmx;
        !          2923:   double agexact;
        !          2924:   /*extern weight */
        !          2925:   /* We are differentiating ll according to initial status */
        !          2926:   /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
        !          2927:   /*for(i=1;i<imx;i++) 
        !          2928:     printf(" %d\n",s[4][i]);
        !          2929:   */
1.162     brouard  2930: 
1.226   ! brouard  2931:   ++countcallfunc;
1.162     brouard  2932: 
1.226   ! brouard  2933:   cov[1]=1.;
1.126     brouard  2934: 
1.226   ! brouard  2935:   for(k=1; k<=nlstate; k++) ll[k]=0.;
1.224     brouard  2936:   ioffset=0;
1.226   ! brouard  2937:   if(mle==1){
        !          2938:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
        !          2939:       /* Computes the values of the ncovmodel covariates of the model
        !          2940:         depending if the covariates are fixed or varying (age dependent) and stores them in cov[]
        !          2941:         Then computes with function pmij which return a matrix p[i][j] giving the elementary probability
        !          2942:         to be observed in j being in i according to the model.
        !          2943:       */
        !          2944:       ioffset=2+nagesqr+cptcovage;
        !          2945:       /* for (k=1; k<=cptcovn;k++){ /\* Simple and product covariates without age* products *\/ */
        !          2946:       for (k=1; k<=ncoveff;k++){ /* Simple and product covariates without age* products */
        !          2947:        cov[++ioffset]=covar[Tvar[k]][i];
        !          2948:       }
        !          2949:       for(iqv=1; iqv <= nqfveff; iqv++){ /* Quantitatives and Fixed covariates */
        !          2950:        cov[++ioffset]=coqvar[iqv][i];
        !          2951:       }
        !          2952: 
        !          2953:       /* In model V2+V1*V4+age*V3+V3*V2 Tvar[1] is V2, Tvar[2=V1*V4] 
        !          2954:         is 6, Tvar[3=age*V3] should not be computed because of age Tvar[4=V3*V2] 
        !          2955:         has been calculated etc */
        !          2956:       /* For an individual i, wav[i] gives the number of effective waves */
        !          2957:       /* We compute the contribution to Likelihood of each effective transition
        !          2958:         mw[mi][i] is real wave of the mi th effectve wave */
        !          2959:       /* Then statuses are computed at each begin and end of an effective wave s1=s[ mw[mi][i] ][i];
        !          2960:         s2=s[mw[mi+1][i]][i];
        !          2961:         And the iv th varying covariate is the cotvar[mw[mi+1][i]][iv][i]
        !          2962:         But if the variable is not in the model TTvar[iv] is the real variable effective in the model:
        !          2963:         meaning that decodemodel should be used cotvar[mw[mi+1][i]][TTvar[iv]][i]
        !          2964:       */
        !          2965:       for(mi=1; mi<= wav[i]-1; mi++){
        !          2966:        for(itv=1; itv <= ntveff; itv++){ /* Varying dummy covariates */
        !          2967:          cov[ioffset+itv]=cotvar[mw[mi][i]][itv][i];
        !          2968:        }
        !          2969:        for(iqtv=1; iqtv <= nqtveff; iqtv++){ /* Varying quantitatives covariates */
        !          2970:          if(cotqvar[mw[mi][i]][iqtv][i] == -1){
        !          2971:            printf("i=%d, mi=%d, iqtv=%d, cotqvar[mw[mi][i]][iqtv][i]=%f",i,mi,iqtv,cotqvar[mw[mi][i]][iqtv][i]);
        !          2972:          }
        !          2973:          cov[ioffset+ntveff+iqtv]=cotqvar[mw[mi][i]][iqtv][i];
        !          2974:        }
        !          2975:        /* ioffset=2+nagesqr+cptcovn+nqv+ntv+nqtv; */
        !          2976:        for (ii=1;ii<=nlstate+ndeath;ii++)
        !          2977:          for (j=1;j<=nlstate+ndeath;j++){
        !          2978:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
        !          2979:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
        !          2980:          }
        !          2981:        for(d=0; d<dh[mi][i]; d++){
        !          2982:          newm=savm;
        !          2983:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
        !          2984:          cov[2]=agexact;
        !          2985:          if(nagesqr==1)
        !          2986:            cov[3]= agexact*agexact;  /* Should be changed here */
        !          2987:          for (kk=1; kk<=cptcovage;kk++) {
        !          2988:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact; /* Tage[kk] gives the data-covariate associated with age */
        !          2989:          }
        !          2990:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
        !          2991:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
        !          2992:          savm=oldm;
        !          2993:          oldm=newm;
        !          2994:        } /* end mult */
1.224     brouard  2995:                                
1.226   ! brouard  2996:        /*lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);*/ /* Original formula */
        !          2997:        /* But now since version 0.9 we anticipate for bias at large stepm.
        !          2998:         * If stepm is larger than one month (smallest stepm) and if the exact delay 
        !          2999:         * (in months) between two waves is not a multiple of stepm, we rounded to 
        !          3000:         * the nearest (and in case of equal distance, to the lowest) interval but now
        !          3001:         * we keep into memory the bias bh[mi][i] and also the previous matrix product
        !          3002:         * (i.e to dh[mi][i]-1) saved in 'savm'. Then we inter(extra)polate the
        !          3003:         * probability in order to take into account the bias as a fraction of the way
        !          3004:         * from savm to out if bh is negative or even beyond if bh is positive. bh varies
        !          3005:         * -stepm/2 to stepm/2 .
        !          3006:         * For stepm=1 the results are the same as for previous versions of Imach.
        !          3007:         * For stepm > 1 the results are less biased than in previous versions. 
        !          3008:         */
        !          3009:        s1=s[mw[mi][i]][i];
        !          3010:        s2=s[mw[mi+1][i]][i];
        !          3011:        bbh=(double)bh[mi][i]/(double)stepm; 
        !          3012:        /* bias bh is positive if real duration
        !          3013:         * is higher than the multiple of stepm and negative otherwise.
        !          3014:         */
        !          3015:        /* lli= (savm[s1][s2]>1.e-8 ?(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]):log((1.+bbh)*out[s1][s2]));*/
        !          3016:        if( s2 > nlstate){ 
        !          3017:          /* i.e. if s2 is a death state and if the date of death is known 
        !          3018:             then the contribution to the likelihood is the probability to 
        !          3019:             die between last step unit time and current  step unit time, 
        !          3020:             which is also equal to probability to die before dh 
        !          3021:             minus probability to die before dh-stepm . 
        !          3022:             In version up to 0.92 likelihood was computed
        !          3023:             as if date of death was unknown. Death was treated as any other
        !          3024:             health state: the date of the interview describes the actual state
        !          3025:             and not the date of a change in health state. The former idea was
        !          3026:             to consider that at each interview the state was recorded
        !          3027:             (healthy, disable or death) and IMaCh was corrected; but when we
        !          3028:             introduced the exact date of death then we should have modified
        !          3029:             the contribution of an exact death to the likelihood. This new
        !          3030:             contribution is smaller and very dependent of the step unit
        !          3031:             stepm. It is no more the probability to die between last interview
        !          3032:             and month of death but the probability to survive from last
        !          3033:             interview up to one month before death multiplied by the
        !          3034:             probability to die within a month. Thanks to Chris
        !          3035:             Jackson for correcting this bug.  Former versions increased
        !          3036:             mortality artificially. The bad side is that we add another loop
        !          3037:             which slows down the processing. The difference can be up to 10%
        !          3038:             lower mortality.
        !          3039:          */
        !          3040:          /* If, at the beginning of the maximization mostly, the
        !          3041:             cumulative probability or probability to be dead is
        !          3042:             constant (ie = 1) over time d, the difference is equal to
        !          3043:             0.  out[s1][3] = savm[s1][3]: probability, being at state
        !          3044:             s1 at precedent wave, to be dead a month before current
        !          3045:             wave is equal to probability, being at state s1 at
        !          3046:             precedent wave, to be dead at mont of the current
        !          3047:             wave. Then the observed probability (that this person died)
        !          3048:             is null according to current estimated parameter. In fact,
        !          3049:             it should be very low but not zero otherwise the log go to
        !          3050:             infinity.
        !          3051:          */
1.183     brouard  3052: /* #ifdef INFINITYORIGINAL */
                   3053: /*         lli=log(out[s1][s2] - savm[s1][s2]); */
                   3054: /* #else */
                   3055: /*       if ((out[s1][s2] - savm[s1][s2]) < mytinydouble)  */
                   3056: /*         lli=log(mytinydouble); */
                   3057: /*       else */
                   3058: /*         lli=log(out[s1][s2] - savm[s1][s2]); */
                   3059: /* #endif */
1.226   ! brouard  3060:          lli=log(out[s1][s2] - savm[s1][s2]);
1.216     brouard  3061:          
1.226   ! brouard  3062:        } else if  ( s2==-1 ) { /* alive */
        !          3063:          for (j=1,survp=0. ; j<=nlstate; j++) 
        !          3064:            survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
        !          3065:          /*survp += out[s1][j]; */
        !          3066:          lli= log(survp);
        !          3067:        }
        !          3068:        else if  (s2==-4) { 
        !          3069:          for (j=3,survp=0. ; j<=nlstate; j++)  
        !          3070:            survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
        !          3071:          lli= log(survp); 
        !          3072:        } 
        !          3073:        else if  (s2==-5) { 
        !          3074:          for (j=1,survp=0. ; j<=2; j++)  
        !          3075:            survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
        !          3076:          lli= log(survp); 
        !          3077:        } 
        !          3078:        else{
        !          3079:          lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
        !          3080:          /*  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 */
        !          3081:        } 
        !          3082:        /*lli=(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]);*/
        !          3083:        /*if(lli ==000.0)*/
        !          3084:        /*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); */
        !          3085:        ipmx +=1;
        !          3086:        sw += weight[i];
        !          3087:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
        !          3088:        /* if (lli < log(mytinydouble)){ */
        !          3089:        /*   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); */
        !          3090:        /*   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]); */
        !          3091:        /* } */
        !          3092:       } /* end of wave */
        !          3093:     } /* end of individual */
        !          3094:   }  else if(mle==2){
        !          3095:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
        !          3096:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
        !          3097:       for(mi=1; mi<= wav[i]-1; mi++){
        !          3098:        for (ii=1;ii<=nlstate+ndeath;ii++)
        !          3099:          for (j=1;j<=nlstate+ndeath;j++){
        !          3100:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
        !          3101:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
        !          3102:          }
        !          3103:        for(d=0; d<=dh[mi][i]; d++){
        !          3104:          newm=savm;
        !          3105:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
        !          3106:          cov[2]=agexact;
        !          3107:          if(nagesqr==1)
        !          3108:            cov[3]= agexact*agexact;
        !          3109:          for (kk=1; kk<=cptcovage;kk++) {
        !          3110:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
        !          3111:          }
        !          3112:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
        !          3113:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
        !          3114:          savm=oldm;
        !          3115:          oldm=newm;
        !          3116:        } /* end mult */
        !          3117:       
        !          3118:        s1=s[mw[mi][i]][i];
        !          3119:        s2=s[mw[mi+1][i]][i];
        !          3120:        bbh=(double)bh[mi][i]/(double)stepm; 
        !          3121:        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 */
        !          3122:        ipmx +=1;
        !          3123:        sw += weight[i];
        !          3124:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
        !          3125:       } /* end of wave */
        !          3126:     } /* end of individual */
        !          3127:   }  else if(mle==3){  /* exponential inter-extrapolation */
        !          3128:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
        !          3129:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
        !          3130:       for(mi=1; mi<= wav[i]-1; mi++){
        !          3131:        for (ii=1;ii<=nlstate+ndeath;ii++)
        !          3132:          for (j=1;j<=nlstate+ndeath;j++){
        !          3133:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
        !          3134:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
        !          3135:          }
        !          3136:        for(d=0; d<dh[mi][i]; d++){
        !          3137:          newm=savm;
        !          3138:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
        !          3139:          cov[2]=agexact;
        !          3140:          if(nagesqr==1)
        !          3141:            cov[3]= agexact*agexact;
        !          3142:          for (kk=1; kk<=cptcovage;kk++) {
        !          3143:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
        !          3144:          }
        !          3145:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
        !          3146:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
        !          3147:          savm=oldm;
        !          3148:          oldm=newm;
        !          3149:        } /* end mult */
        !          3150:       
        !          3151:        s1=s[mw[mi][i]][i];
        !          3152:        s2=s[mw[mi+1][i]][i];
        !          3153:        bbh=(double)bh[mi][i]/(double)stepm; 
        !          3154:        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 */
        !          3155:        ipmx +=1;
        !          3156:        sw += weight[i];
        !          3157:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
        !          3158:       } /* end of wave */
        !          3159:     } /* end of individual */
        !          3160:   }else if (mle==4){  /* ml=4 no inter-extrapolation */
        !          3161:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
        !          3162:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
        !          3163:       for(mi=1; mi<= wav[i]-1; mi++){
        !          3164:        for (ii=1;ii<=nlstate+ndeath;ii++)
        !          3165:          for (j=1;j<=nlstate+ndeath;j++){
        !          3166:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
        !          3167:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
        !          3168:          }
        !          3169:        for(d=0; d<dh[mi][i]; d++){
        !          3170:          newm=savm;
        !          3171:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
        !          3172:          cov[2]=agexact;
        !          3173:          if(nagesqr==1)
        !          3174:            cov[3]= agexact*agexact;
        !          3175:          for (kk=1; kk<=cptcovage;kk++) {
        !          3176:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
        !          3177:          }
1.126     brouard  3178:        
1.226   ! brouard  3179:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
        !          3180:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
        !          3181:          savm=oldm;
        !          3182:          oldm=newm;
        !          3183:        } /* end mult */
        !          3184:       
        !          3185:        s1=s[mw[mi][i]][i];
        !          3186:        s2=s[mw[mi+1][i]][i];
        !          3187:        if( s2 > nlstate){ 
        !          3188:          lli=log(out[s1][s2] - savm[s1][s2]);
        !          3189:        } else if  ( s2==-1 ) { /* alive */
        !          3190:          for (j=1,survp=0. ; j<=nlstate; j++) 
        !          3191:            survp += out[s1][j];
        !          3192:          lli= log(survp);
        !          3193:        }else{
        !          3194:          lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
        !          3195:        }
        !          3196:        ipmx +=1;
        !          3197:        sw += weight[i];
        !          3198:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
1.126     brouard  3199: /*     printf("i=%6d s1=%1d s2=%1d mi=%1d mw=%1d dh=%3d prob=%10.6f w=%6.4f out=%10.6f sav=%10.6f\n",i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],out[s1][s2],savm[s1][s2]); */
1.226   ! brouard  3200:       } /* end of wave */
        !          3201:     } /* end of individual */
        !          3202:   }else{  /* ml=5 no inter-extrapolation no jackson =0.8a */
        !          3203:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
        !          3204:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
        !          3205:       for(mi=1; mi<= wav[i]-1; mi++){
        !          3206:        for (ii=1;ii<=nlstate+ndeath;ii++)
        !          3207:          for (j=1;j<=nlstate+ndeath;j++){
        !          3208:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
        !          3209:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
        !          3210:          }
        !          3211:        for(d=0; d<dh[mi][i]; d++){
        !          3212:          newm=savm;
        !          3213:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
        !          3214:          cov[2]=agexact;
        !          3215:          if(nagesqr==1)
        !          3216:            cov[3]= agexact*agexact;
        !          3217:          for (kk=1; kk<=cptcovage;kk++) {
        !          3218:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
        !          3219:          }
1.126     brouard  3220:        
1.226   ! brouard  3221:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
        !          3222:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
        !          3223:          savm=oldm;
        !          3224:          oldm=newm;
        !          3225:        } /* end mult */
        !          3226:       
        !          3227:        s1=s[mw[mi][i]][i];
        !          3228:        s2=s[mw[mi+1][i]][i];
        !          3229:        lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
        !          3230:        ipmx +=1;
        !          3231:        sw += weight[i];
        !          3232:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
        !          3233:        /*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]);*/
        !          3234:       } /* end of wave */
        !          3235:     } /* end of individual */
        !          3236:   } /* End of if */
        !          3237:   for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
        !          3238:   /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
        !          3239:   l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
        !          3240:   return -l;
1.126     brouard  3241: }
                   3242: 
                   3243: /*************** log-likelihood *************/
                   3244: double funcone( double *x)
                   3245: {
                   3246:   /* Same as likeli but slower because of a lot of printf and if */
                   3247:   int i, ii, j, k, mi, d, kk;
1.224     brouard  3248:        int ioffset=0;
1.131     brouard  3249:   double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1];
1.126     brouard  3250:   double **out;
                   3251:   double lli; /* Individual log likelihood */
                   3252:   double llt;
                   3253:   int s1, s2;
1.224     brouard  3254:        int iv=0, iqv=0, itv=0, iqtv=0 ; /* Index of varying covariate, fixed quantitative cov, time varying covariate */
1.126     brouard  3255:   double bbh, survp;
1.187     brouard  3256:   double agexact;
1.214     brouard  3257:   double agebegin, ageend;
1.126     brouard  3258:   /*extern weight */
                   3259:   /* We are differentiating ll according to initial status */
                   3260:   /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
                   3261:   /*for(i=1;i<imx;i++) 
                   3262:     printf(" %d\n",s[4][i]);
                   3263:   */
                   3264:   cov[1]=1.;
                   3265: 
                   3266:   for(k=1; k<=nlstate; k++) ll[k]=0.;
1.224     brouard  3267:   ioffset=0;
                   3268:   for (i=1,ipmx=0, sw=0.; i<=imx; i++){
1.225     brouard  3269:     ioffset=2+nagesqr+cptcovage;
1.224     brouard  3270:     /* for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i]; */
1.226   ! brouard  3271:     for (k=1; k<=ncoveff+nqfveff;k++){ /* Simple and product fixed covariates without age* products */
1.225     brouard  3272:       cov[++ioffset]=covar[Tvar[k]][i];
                   3273:     }
1.226   ! brouard  3274:     for(iqv=1; iqv <= nqfveff; iqv++){ /* Quantitative fixed covariates */
        !          3275:       cov[++ioffset]=coqvar[Tvar[iqv]][i];
1.225     brouard  3276:     }
                   3277:     
1.226   ! brouard  3278:     for(mi=1; mi<= wav[i]-1; mi++){  /* Varying with waves */
1.225     brouard  3279:       for(itv=1; itv <= ntveff; itv++){ /* Varying dummy covariates */
                   3280:        cov[ioffset+itv]=cotvar[mw[mi][i]][itv][i];
                   3281:       }
                   3282:       for(iqtv=1; iqtv <= nqtveff; iqtv++){ /* Varying quantitatives covariates */
                   3283:        cov[ioffset+ntveff+iqtv]=cotqvar[mw[mi][i]][iqtv][i];
                   3284:       }
1.126     brouard  3285:       for (ii=1;ii<=nlstate+ndeath;ii++)
1.225     brouard  3286:        for (j=1;j<=nlstate+ndeath;j++){
                   3287:          oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3288:          savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   3289:        }
1.214     brouard  3290:       
                   3291:       agebegin=agev[mw[mi][i]][i]; /* Age at beginning of effective wave */
                   3292:       ageend=agev[mw[mi][i]][i] + (dh[mi][i])*stepm/YEARM; /* Age at end of effective wave and at the end of transition */
                   3293:       for(d=0; d<dh[mi][i]; d++){  /* Delay between two effective waves */
1.225     brouard  3294:        /*dh[m][i] or dh[mw[mi][i]][i] is the delay between two effective waves m=mw[mi][i]
                   3295:          and mw[mi+1][i]. dh depends on stepm.*/
                   3296:        newm=savm;
                   3297:        agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   3298:        cov[2]=agexact;
                   3299:        if(nagesqr==1)
                   3300:          cov[3]= agexact*agexact;
                   3301:        for (kk=1; kk<=cptcovage;kk++) {
                   3302:          cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
                   3303:        }
                   3304:        /* printf("i=%d,mi=%d,d=%d,mw[mi][i]=%d\n",i, mi,d,mw[mi][i]); */
                   3305:        /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
                   3306:        out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   3307:                     1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   3308:        /* out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath, */
                   3309:        /*           1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate)); */
                   3310:        savm=oldm;
                   3311:        oldm=newm;
1.126     brouard  3312:       } /* end mult */
                   3313:       
                   3314:       s1=s[mw[mi][i]][i];
                   3315:       s2=s[mw[mi+1][i]][i];
1.217     brouard  3316:       /* if(s2==-1){ */
                   3317:       /*       printf(" s1=%d, s2=%d i=%d \n", s1, s2, i); */
                   3318:       /*       /\* exit(1); *\/ */
                   3319:       /* } */
1.126     brouard  3320:       bbh=(double)bh[mi][i]/(double)stepm; 
                   3321:       /* bias is positive if real duration
                   3322:        * is higher than the multiple of stepm and negative otherwise.
                   3323:        */
                   3324:       if( s2 > nlstate && (mle <5) ){  /* Jackson */
1.225     brouard  3325:        lli=log(out[s1][s2] - savm[s1][s2]);
1.216     brouard  3326:       } else if  ( s2==-1 ) { /* alive */
1.225     brouard  3327:        for (j=1,survp=0. ; j<=nlstate; j++) 
                   3328:          survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   3329:        lli= log(survp);
1.126     brouard  3330:       }else if (mle==1){
1.225     brouard  3331:        lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
1.126     brouard  3332:       } else if(mle==2){
1.225     brouard  3333:        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  3334:       } else if(mle==3){  /* exponential inter-extrapolation */
1.225     brouard  3335:        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  3336:       } else if (mle==4){  /* mle=4 no inter-extrapolation */
1.225     brouard  3337:        lli=log(out[s1][s2]); /* Original formula */
1.136     brouard  3338:       } else{  /* mle=0 back to 1 */
1.225     brouard  3339:        lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
                   3340:        /*lli=log(out[s1][s2]); */ /* Original formula */
1.126     brouard  3341:       } /* End of if */
                   3342:       ipmx +=1;
                   3343:       sw += weight[i];
                   3344:       ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
1.132     brouard  3345:       /*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  3346:       if(globpr){
1.225     brouard  3347:        fprintf(ficresilk,"%9ld %6.1f %6.1f %6d %2d %2d %2d %2d %3d %15.6f %8.4f %8.3f\
1.126     brouard  3348:  %11.6f %11.6f %11.6f ", \
1.225     brouard  3349:                num[i], agebegin, ageend, i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],weight[i]*gipmx/gsw,
                   3350:                2*weight[i]*lli,out[s1][s2],savm[s1][s2]);
                   3351:        for(k=1,llt=0.,l=0.; k<=nlstate; k++){
                   3352:          llt +=ll[k]*gipmx/gsw;
                   3353:          fprintf(ficresilk," %10.6f",-ll[k]*gipmx/gsw);
                   3354:        }
                   3355:        fprintf(ficresilk," %10.6f\n", -llt);
1.126     brouard  3356:       }
                   3357:     } /* end of wave */
                   3358:   } /* end of individual */
                   3359:   for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
                   3360:   /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
                   3361:   l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
                   3362:   if(globpr==0){ /* First time we count the contributions and weights */
                   3363:     gipmx=ipmx;
                   3364:     gsw=sw;
                   3365:   }
                   3366:   return -l;
                   3367: }
                   3368: 
                   3369: 
                   3370: /*************** function likelione ***********/
                   3371: void likelione(FILE *ficres,double p[], int npar, int nlstate, int *globpri, long *ipmx, double *sw, double *fretone, double (*funcone)(double []))
                   3372: {
                   3373:   /* This routine should help understanding what is done with 
                   3374:      the selection of individuals/waves and
                   3375:      to check the exact contribution to the likelihood.
                   3376:      Plotting could be done.
                   3377:    */
                   3378:   int k;
                   3379: 
                   3380:   if(*globpri !=0){ /* Just counts and sums, no printings */
1.201     brouard  3381:     strcpy(fileresilk,"ILK_"); 
1.202     brouard  3382:     strcat(fileresilk,fileresu);
1.126     brouard  3383:     if((ficresilk=fopen(fileresilk,"w"))==NULL) {
                   3384:       printf("Problem with resultfile: %s\n", fileresilk);
                   3385:       fprintf(ficlog,"Problem with resultfile: %s\n", fileresilk);
                   3386:     }
1.214     brouard  3387:     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");
                   3388:     fprintf(ficresilk, "#num_i ageb agend i s1 s2 mi mw dh likeli weight %%weight 2wlli out sav ");
1.126     brouard  3389:     /*         i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],2*weight[i]*lli,out[s1][s2],savm[s1][s2]); */
                   3390:     for(k=1; k<=nlstate; k++) 
                   3391:       fprintf(ficresilk," -2*gipw/gsw*weight*ll[%d]++",k);
                   3392:     fprintf(ficresilk," -2*gipw/gsw*weight*ll(total)\n");
                   3393:   }
                   3394: 
                   3395:   *fretone=(*funcone)(p);
                   3396:   if(*globpri !=0){
                   3397:     fclose(ficresilk);
1.205     brouard  3398:     if (mle ==0)
                   3399:       fprintf(fichtm,"\n<br>File of contributions to the likelihood computed with initial parameters and mle = %d.",mle);
                   3400:     else if(mle >=1)
                   3401:       fprintf(fichtm,"\n<br>File of contributions to the likelihood computed with optimized parameters mle = %d.",mle);
                   3402:     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  3403:     
1.208     brouard  3404:       
                   3405:     for (k=1; k<= nlstate ; k++) {
1.211     brouard  3406:       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  3407: <img src=\"%s-p%dj.png\">",k,k,subdirf2(optionfilefiname,"ILK_"),k,subdirf2(optionfilefiname,"ILK_"),k,subdirf2(optionfilefiname,"ILK_"),k);
                   3408:     }
1.207     brouard  3409:     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  3410: <img src=\"%s-ori.png\">",subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"));
1.207     brouard  3411:     fprintf(fichtm,"<br>- and by state of destination <a href=\"%s-dest.png\">%s-dest.png</a><br> \
1.204     brouard  3412: <img src=\"%s-dest.png\">",subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"));
1.207     brouard  3413:     fflush(fichtm);
1.205     brouard  3414:   }
1.126     brouard  3415:   return;
                   3416: }
                   3417: 
                   3418: 
                   3419: /*********** Maximum Likelihood Estimation ***************/
                   3420: 
                   3421: void mlikeli(FILE *ficres,double p[], int npar, int ncovmodel, int nlstate, double ftol, double (*func)(double []))
                   3422: {
1.165     brouard  3423:   int i,j, iter=0;
1.126     brouard  3424:   double **xi;
                   3425:   double fret;
                   3426:   double fretone; /* Only one call to likelihood */
                   3427:   /*  char filerespow[FILENAMELENGTH];*/
1.162     brouard  3428: 
                   3429: #ifdef NLOPT
                   3430:   int creturn;
                   3431:   nlopt_opt opt;
                   3432:   /* double lb[9] = { -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL }; /\* lower bounds *\/ */
                   3433:   double *lb;
                   3434:   double minf; /* the minimum objective value, upon return */
                   3435:   double * p1; /* Shifted parameters from 0 instead of 1 */
                   3436:   myfunc_data dinst, *d = &dinst;
                   3437: #endif
                   3438: 
                   3439: 
1.126     brouard  3440:   xi=matrix(1,npar,1,npar);
                   3441:   for (i=1;i<=npar;i++)
                   3442:     for (j=1;j<=npar;j++)
                   3443:       xi[i][j]=(i==j ? 1.0 : 0.0);
                   3444:   printf("Powell\n");  fprintf(ficlog,"Powell\n");
1.201     brouard  3445:   strcpy(filerespow,"POW_"); 
1.126     brouard  3446:   strcat(filerespow,fileres);
                   3447:   if((ficrespow=fopen(filerespow,"w"))==NULL) {
                   3448:     printf("Problem with resultfile: %s\n", filerespow);
                   3449:     fprintf(ficlog,"Problem with resultfile: %s\n", filerespow);
                   3450:   }
                   3451:   fprintf(ficrespow,"# Powell\n# iter -2*LL");
                   3452:   for (i=1;i<=nlstate;i++)
                   3453:     for(j=1;j<=nlstate+ndeath;j++)
                   3454:       if(j!=i)fprintf(ficrespow," p%1d%1d",i,j);
                   3455:   fprintf(ficrespow,"\n");
1.162     brouard  3456: #ifdef POWELL
1.126     brouard  3457:   powell(p,xi,npar,ftol,&iter,&fret,func);
1.162     brouard  3458: #endif
1.126     brouard  3459: 
1.162     brouard  3460: #ifdef NLOPT
                   3461: #ifdef NEWUOA
                   3462:   opt = nlopt_create(NLOPT_LN_NEWUOA,npar);
                   3463: #else
                   3464:   opt = nlopt_create(NLOPT_LN_BOBYQA,npar);
                   3465: #endif
                   3466:   lb=vector(0,npar-1);
                   3467:   for (i=0;i<npar;i++) lb[i]= -HUGE_VAL;
                   3468:   nlopt_set_lower_bounds(opt, lb);
                   3469:   nlopt_set_initial_step1(opt, 0.1);
                   3470:   
                   3471:   p1= (p+1); /*  p *(p+1)@8 and p *(p1)@8 are equal p1[0]=p[1] */
                   3472:   d->function = func;
                   3473:   printf(" Func %.12lf \n",myfunc(npar,p1,NULL,d));
                   3474:   nlopt_set_min_objective(opt, myfunc, d);
                   3475:   nlopt_set_xtol_rel(opt, ftol);
                   3476:   if ((creturn=nlopt_optimize(opt, p1, &minf)) < 0) {
                   3477:     printf("nlopt failed! %d\n",creturn); 
                   3478:   }
                   3479:   else {
                   3480:     printf("found minimum after %d evaluations (NLOPT=%d)\n", countcallfunc ,NLOPT);
                   3481:     printf("found minimum at f(%g,%g) = %0.10g\n", p[0], p[1], minf);
                   3482:     iter=1; /* not equal */
                   3483:   }
                   3484:   nlopt_destroy(opt);
                   3485: #endif
1.126     brouard  3486:   free_matrix(xi,1,npar,1,npar);
                   3487:   fclose(ficrespow);
1.203     brouard  3488:   printf("\n#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
                   3489:   fprintf(ficlog,"\n#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
1.180     brouard  3490:   fprintf(ficres,"#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
1.126     brouard  3491: 
                   3492: }
                   3493: 
                   3494: /**** Computes Hessian and covariance matrix ***/
1.203     brouard  3495: void hesscov(double **matcov, double **hess, double p[], int npar, double delti[], double ftolhess, double (*func)(double []))
1.126     brouard  3496: {
                   3497:   double  **a,**y,*x,pd;
1.203     brouard  3498:   /* double **hess; */
1.164     brouard  3499:   int i, j;
1.126     brouard  3500:   int *indx;
                   3501: 
                   3502:   double hessii(double p[], double delta, int theta, double delti[],double (*func)(double []),int npar);
1.203     brouard  3503:   double hessij(double p[], double **hess, double delti[], int i, int j,double (*func)(double []),int npar);
1.126     brouard  3504:   void lubksb(double **a, int npar, int *indx, double b[]) ;
                   3505:   void ludcmp(double **a, int npar, int *indx, double *d) ;
                   3506:   double gompertz(double p[]);
1.203     brouard  3507:   /* hess=matrix(1,npar,1,npar); */
1.126     brouard  3508: 
                   3509:   printf("\nCalculation of the hessian matrix. Wait...\n");
                   3510:   fprintf(ficlog,"\nCalculation of the hessian matrix. Wait...\n");
                   3511:   for (i=1;i<=npar;i++){
1.203     brouard  3512:     printf("%d-",i);fflush(stdout);
                   3513:     fprintf(ficlog,"%d-",i);fflush(ficlog);
1.126     brouard  3514:    
                   3515:      hess[i][i]=hessii(p,ftolhess,i,delti,func,npar);
                   3516:     
                   3517:     /*  printf(" %f ",p[i]);
                   3518:        printf(" %lf %lf %lf",hess[i][i],ftolhess,delti[i]);*/
                   3519:   }
                   3520:   
                   3521:   for (i=1;i<=npar;i++) {
                   3522:     for (j=1;j<=npar;j++)  {
                   3523:       if (j>i) { 
1.203     brouard  3524:        printf(".%d-%d",i,j);fflush(stdout);
                   3525:        fprintf(ficlog,".%d-%d",i,j);fflush(ficlog);
                   3526:        hess[i][j]=hessij(p,hess, delti,i,j,func,npar);
1.126     brouard  3527:        
                   3528:        hess[j][i]=hess[i][j];    
                   3529:        /*printf(" %lf ",hess[i][j]);*/
                   3530:       }
                   3531:     }
                   3532:   }
                   3533:   printf("\n");
                   3534:   fprintf(ficlog,"\n");
                   3535: 
                   3536:   printf("\nInverting the hessian to get the covariance matrix. Wait...\n");
                   3537:   fprintf(ficlog,"\nInverting the hessian to get the covariance matrix. Wait...\n");
                   3538:   
                   3539:   a=matrix(1,npar,1,npar);
                   3540:   y=matrix(1,npar,1,npar);
                   3541:   x=vector(1,npar);
                   3542:   indx=ivector(1,npar);
                   3543:   for (i=1;i<=npar;i++)
                   3544:     for (j=1;j<=npar;j++) a[i][j]=hess[i][j];
                   3545:   ludcmp(a,npar,indx,&pd);
                   3546: 
                   3547:   for (j=1;j<=npar;j++) {
                   3548:     for (i=1;i<=npar;i++) x[i]=0;
                   3549:     x[j]=1;
                   3550:     lubksb(a,npar,indx,x);
                   3551:     for (i=1;i<=npar;i++){ 
                   3552:       matcov[i][j]=x[i];
                   3553:     }
                   3554:   }
                   3555: 
                   3556:   printf("\n#Hessian matrix#\n");
                   3557:   fprintf(ficlog,"\n#Hessian matrix#\n");
                   3558:   for (i=1;i<=npar;i++) { 
                   3559:     for (j=1;j<=npar;j++) { 
1.203     brouard  3560:       printf("%.6e ",hess[i][j]);
                   3561:       fprintf(ficlog,"%.6e ",hess[i][j]);
1.126     brouard  3562:     }
                   3563:     printf("\n");
                   3564:     fprintf(ficlog,"\n");
                   3565:   }
                   3566: 
1.203     brouard  3567:   /* printf("\n#Covariance matrix#\n"); */
                   3568:   /* fprintf(ficlog,"\n#Covariance matrix#\n"); */
                   3569:   /* for (i=1;i<=npar;i++) {  */
                   3570:   /*   for (j=1;j<=npar;j++) {  */
                   3571:   /*     printf("%.6e ",matcov[i][j]); */
                   3572:   /*     fprintf(ficlog,"%.6e ",matcov[i][j]); */
                   3573:   /*   } */
                   3574:   /*   printf("\n"); */
                   3575:   /*   fprintf(ficlog,"\n"); */
                   3576:   /* } */
                   3577: 
1.126     brouard  3578:   /* Recompute Inverse */
1.203     brouard  3579:   /* for (i=1;i<=npar;i++) */
                   3580:   /*   for (j=1;j<=npar;j++) a[i][j]=matcov[i][j]; */
                   3581:   /* ludcmp(a,npar,indx,&pd); */
                   3582: 
                   3583:   /*  printf("\n#Hessian matrix recomputed#\n"); */
                   3584: 
                   3585:   /* for (j=1;j<=npar;j++) { */
                   3586:   /*   for (i=1;i<=npar;i++) x[i]=0; */
                   3587:   /*   x[j]=1; */
                   3588:   /*   lubksb(a,npar,indx,x); */
                   3589:   /*   for (i=1;i<=npar;i++){  */
                   3590:   /*     y[i][j]=x[i]; */
                   3591:   /*     printf("%.3e ",y[i][j]); */
                   3592:   /*     fprintf(ficlog,"%.3e ",y[i][j]); */
                   3593:   /*   } */
                   3594:   /*   printf("\n"); */
                   3595:   /*   fprintf(ficlog,"\n"); */
                   3596:   /* } */
                   3597: 
                   3598:   /* Verifying the inverse matrix */
                   3599: #ifdef DEBUGHESS
                   3600:   y=matprod2(y,hess,1,npar,1,npar,1,npar,matcov);
1.126     brouard  3601: 
1.203     brouard  3602:    printf("\n#Verification: multiplying the matrix of covariance by the Hessian matrix, should be unity:#\n");
                   3603:    fprintf(ficlog,"\n#Verification: multiplying the matrix of covariance by the Hessian matrix. Should be unity:#\n");
1.126     brouard  3604: 
                   3605:   for (j=1;j<=npar;j++) {
                   3606:     for (i=1;i<=npar;i++){ 
1.203     brouard  3607:       printf("%.2f ",y[i][j]);
                   3608:       fprintf(ficlog,"%.2f ",y[i][j]);
1.126     brouard  3609:     }
                   3610:     printf("\n");
                   3611:     fprintf(ficlog,"\n");
                   3612:   }
1.203     brouard  3613: #endif
1.126     brouard  3614: 
                   3615:   free_matrix(a,1,npar,1,npar);
                   3616:   free_matrix(y,1,npar,1,npar);
                   3617:   free_vector(x,1,npar);
                   3618:   free_ivector(indx,1,npar);
1.203     brouard  3619:   /* free_matrix(hess,1,npar,1,npar); */
1.126     brouard  3620: 
                   3621: 
                   3622: }
                   3623: 
                   3624: /*************** hessian matrix ****************/
                   3625: double hessii(double x[], double delta, int theta, double delti[], double (*func)(double []), int npar)
1.203     brouard  3626: { /* Around values of x, computes the function func and returns the scales delti and hessian */
1.126     brouard  3627:   int i;
                   3628:   int l=1, lmax=20;
1.203     brouard  3629:   double k1,k2, res, fx;
1.132     brouard  3630:   double p2[MAXPARM+1]; /* identical to x */
1.126     brouard  3631:   double delt=0.0001, delts, nkhi=10.,nkhif=1., khi=1.e-4;
                   3632:   int k=0,kmax=10;
                   3633:   double l1;
                   3634: 
                   3635:   fx=func(x);
                   3636:   for (i=1;i<=npar;i++) p2[i]=x[i];
1.145     brouard  3637:   for(l=0 ; l <=lmax; l++){  /* Enlarging the zone around the Maximum */
1.126     brouard  3638:     l1=pow(10,l);
                   3639:     delts=delt;
                   3640:     for(k=1 ; k <kmax; k=k+1){
                   3641:       delt = delta*(l1*k);
                   3642:       p2[theta]=x[theta] +delt;
1.145     brouard  3643:       k1=func(p2)-fx;   /* Might be negative if too close to the theoretical maximum */
1.126     brouard  3644:       p2[theta]=x[theta]-delt;
                   3645:       k2=func(p2)-fx;
                   3646:       /*res= (k1-2.0*fx+k2)/delt/delt; */
1.203     brouard  3647:       res= (k1+k2)/delt/delt/2.; /* Divided by 2 because L and not 2*L */
1.126     brouard  3648:       
1.203     brouard  3649: #ifdef DEBUGHESSII
1.126     brouard  3650:       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);
                   3651:       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);
                   3652: #endif
                   3653:       /*if(fabs(k1-2.0*fx+k2) <1.e-13){ */
                   3654:       if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)){
                   3655:        k=kmax;
                   3656:       }
                   3657:       else if((k1 >khi/nkhif) || (k2 >khi/nkhif)){ /* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. */
1.164     brouard  3658:        k=kmax; l=lmax*10;
1.126     brouard  3659:       }
                   3660:       else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){ 
                   3661:        delts=delt;
                   3662:       }
1.203     brouard  3663:     } /* End loop k */
1.126     brouard  3664:   }
                   3665:   delti[theta]=delts;
                   3666:   return res; 
                   3667:   
                   3668: }
                   3669: 
1.203     brouard  3670: double hessij( double x[], double **hess, double delti[], int thetai,int thetaj,double (*func)(double []),int npar)
1.126     brouard  3671: {
                   3672:   int i;
1.164     brouard  3673:   int l=1, lmax=20;
1.126     brouard  3674:   double k1,k2,k3,k4,res,fx;
1.132     brouard  3675:   double p2[MAXPARM+1];
1.203     brouard  3676:   int k, kmax=1;
                   3677:   double v1, v2, cv12, lc1, lc2;
1.208     brouard  3678: 
                   3679:   int firstime=0;
1.203     brouard  3680:   
1.126     brouard  3681:   fx=func(x);
1.203     brouard  3682:   for (k=1; k<=kmax; k=k+10) {
1.126     brouard  3683:     for (i=1;i<=npar;i++) p2[i]=x[i];
1.203     brouard  3684:     p2[thetai]=x[thetai]+delti[thetai]*k;
                   3685:     p2[thetaj]=x[thetaj]+delti[thetaj]*k;
1.126     brouard  3686:     k1=func(p2)-fx;
                   3687:   
1.203     brouard  3688:     p2[thetai]=x[thetai]+delti[thetai]*k;
                   3689:     p2[thetaj]=x[thetaj]-delti[thetaj]*k;
1.126     brouard  3690:     k2=func(p2)-fx;
                   3691:   
1.203     brouard  3692:     p2[thetai]=x[thetai]-delti[thetai]*k;
                   3693:     p2[thetaj]=x[thetaj]+delti[thetaj]*k;
1.126     brouard  3694:     k3=func(p2)-fx;
                   3695:   
1.203     brouard  3696:     p2[thetai]=x[thetai]-delti[thetai]*k;
                   3697:     p2[thetaj]=x[thetaj]-delti[thetaj]*k;
1.126     brouard  3698:     k4=func(p2)-fx;
1.203     brouard  3699:     res=(k1-k2-k3+k4)/4.0/delti[thetai]/k/delti[thetaj]/k/2.; /* Because of L not 2*L */
                   3700:     if(k1*k2*k3*k4 <0.){
1.208     brouard  3701:       firstime=1;
1.203     brouard  3702:       kmax=kmax+10;
1.208     brouard  3703:     }
                   3704:     if(kmax >=10 || firstime ==1){
1.218     brouard  3705:       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);
                   3706:       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  3707:       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);
                   3708:       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);
                   3709:     }
                   3710: #ifdef DEBUGHESSIJ
                   3711:     v1=hess[thetai][thetai];
                   3712:     v2=hess[thetaj][thetaj];
                   3713:     cv12=res;
                   3714:     /* Computing eigen value of Hessian matrix */
                   3715:     lc1=((v1+v2)+sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                   3716:     lc2=((v1+v2)-sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                   3717:     if ((lc2 <0) || (lc1 <0) ){
                   3718:       printf("Warning: sub Hessian matrix '%d%d' does not have positive eigen values \n",thetai,thetaj);
                   3719:       fprintf(ficlog, "Warning: sub Hessian matrix '%d%d' does not have positive eigen values \n",thetai,thetaj);
                   3720:       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);
                   3721:       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);
                   3722:     }
1.126     brouard  3723: #endif
                   3724:   }
                   3725:   return res;
                   3726: }
                   3727: 
1.203     brouard  3728:     /* Not done yet: Was supposed to fix if not exactly at the maximum */
                   3729: /* double hessij( double x[], double delti[], int thetai,int thetaj,double (*func)(double []),int npar) */
                   3730: /* { */
                   3731: /*   int i; */
                   3732: /*   int l=1, lmax=20; */
                   3733: /*   double k1,k2,k3,k4,res,fx; */
                   3734: /*   double p2[MAXPARM+1]; */
                   3735: /*   double delt=0.0001, delts, nkhi=10.,nkhif=1., khi=1.e-4; */
                   3736: /*   int k=0,kmax=10; */
                   3737: /*   double l1; */
                   3738:   
                   3739: /*   fx=func(x); */
                   3740: /*   for(l=0 ; l <=lmax; l++){  /\* Enlarging the zone around the Maximum *\/ */
                   3741: /*     l1=pow(10,l); */
                   3742: /*     delts=delt; */
                   3743: /*     for(k=1 ; k <kmax; k=k+1){ */
                   3744: /*       delt = delti*(l1*k); */
                   3745: /*       for (i=1;i<=npar;i++) p2[i]=x[i]; */
                   3746: /*       p2[thetai]=x[thetai]+delti[thetai]/k; */
                   3747: /*       p2[thetaj]=x[thetaj]+delti[thetaj]/k; */
                   3748: /*       k1=func(p2)-fx; */
                   3749:       
                   3750: /*       p2[thetai]=x[thetai]+delti[thetai]/k; */
                   3751: /*       p2[thetaj]=x[thetaj]-delti[thetaj]/k; */
                   3752: /*       k2=func(p2)-fx; */
                   3753:       
                   3754: /*       p2[thetai]=x[thetai]-delti[thetai]/k; */
                   3755: /*       p2[thetaj]=x[thetaj]+delti[thetaj]/k; */
                   3756: /*       k3=func(p2)-fx; */
                   3757:       
                   3758: /*       p2[thetai]=x[thetai]-delti[thetai]/k; */
                   3759: /*       p2[thetaj]=x[thetaj]-delti[thetaj]/k; */
                   3760: /*       k4=func(p2)-fx; */
                   3761: /*       res=(k1-k2-k3+k4)/4.0/delti[thetai]*k/delti[thetaj]*k/2.; /\* Because of L not 2*L *\/ */
                   3762: /* #ifdef DEBUGHESSIJ */
                   3763: /*       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); */
                   3764: /*       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); */
                   3765: /* #endif */
                   3766: /*       if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)|| (k4 <khi/nkhi/2.)|| (k4 <khi/nkhi/2.)){ */
                   3767: /*     k=kmax; */
                   3768: /*       } */
                   3769: /*       else if((k1 >khi/nkhif) || (k2 >khi/nkhif) || (k4 >khi/nkhif) || (k4 >khi/nkhif)){ /\* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. *\/ */
                   3770: /*     k=kmax; l=lmax*10; */
                   3771: /*       } */
                   3772: /*       else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){  */
                   3773: /*     delts=delt; */
                   3774: /*       } */
                   3775: /*     } /\* End loop k *\/ */
                   3776: /*   } */
                   3777: /*   delti[theta]=delts; */
                   3778: /*   return res;  */
                   3779: /* } */
                   3780: 
                   3781: 
1.126     brouard  3782: /************** Inverse of matrix **************/
                   3783: void ludcmp(double **a, int n, int *indx, double *d) 
                   3784: { 
                   3785:   int i,imax,j,k; 
                   3786:   double big,dum,sum,temp; 
                   3787:   double *vv; 
                   3788:  
                   3789:   vv=vector(1,n); 
                   3790:   *d=1.0; 
                   3791:   for (i=1;i<=n;i++) { 
                   3792:     big=0.0; 
                   3793:     for (j=1;j<=n;j++) 
                   3794:       if ((temp=fabs(a[i][j])) > big) big=temp; 
                   3795:     if (big == 0.0) nrerror("Singular matrix in routine ludcmp"); 
                   3796:     vv[i]=1.0/big; 
                   3797:   } 
                   3798:   for (j=1;j<=n;j++) { 
                   3799:     for (i=1;i<j;i++) { 
                   3800:       sum=a[i][j]; 
                   3801:       for (k=1;k<i;k++) sum -= a[i][k]*a[k][j]; 
                   3802:       a[i][j]=sum; 
                   3803:     } 
                   3804:     big=0.0; 
                   3805:     for (i=j;i<=n;i++) { 
                   3806:       sum=a[i][j]; 
                   3807:       for (k=1;k<j;k++) 
                   3808:        sum -= a[i][k]*a[k][j]; 
                   3809:       a[i][j]=sum; 
                   3810:       if ( (dum=vv[i]*fabs(sum)) >= big) { 
                   3811:        big=dum; 
                   3812:        imax=i; 
                   3813:       } 
                   3814:     } 
                   3815:     if (j != imax) { 
                   3816:       for (k=1;k<=n;k++) { 
                   3817:        dum=a[imax][k]; 
                   3818:        a[imax][k]=a[j][k]; 
                   3819:        a[j][k]=dum; 
                   3820:       } 
                   3821:       *d = -(*d); 
                   3822:       vv[imax]=vv[j]; 
                   3823:     } 
                   3824:     indx[j]=imax; 
                   3825:     if (a[j][j] == 0.0) a[j][j]=TINY; 
                   3826:     if (j != n) { 
                   3827:       dum=1.0/(a[j][j]); 
                   3828:       for (i=j+1;i<=n;i++) a[i][j] *= dum; 
                   3829:     } 
                   3830:   } 
                   3831:   free_vector(vv,1,n);  /* Doesn't work */
                   3832: ;
                   3833: } 
                   3834: 
                   3835: void lubksb(double **a, int n, int *indx, double b[]) 
                   3836: { 
                   3837:   int i,ii=0,ip,j; 
                   3838:   double sum; 
                   3839:  
                   3840:   for (i=1;i<=n;i++) { 
                   3841:     ip=indx[i]; 
                   3842:     sum=b[ip]; 
                   3843:     b[ip]=b[i]; 
                   3844:     if (ii) 
                   3845:       for (j=ii;j<=i-1;j++) sum -= a[i][j]*b[j]; 
                   3846:     else if (sum) ii=i; 
                   3847:     b[i]=sum; 
                   3848:   } 
                   3849:   for (i=n;i>=1;i--) { 
                   3850:     sum=b[i]; 
                   3851:     for (j=i+1;j<=n;j++) sum -= a[i][j]*b[j]; 
                   3852:     b[i]=sum/a[i][i]; 
                   3853:   } 
                   3854: } 
                   3855: 
                   3856: void pstamp(FILE *fichier)
                   3857: {
1.196     brouard  3858:   fprintf(fichier,"# %s.%s\n#IMaCh version %s, %s\n#%s\n# %s", optionfilefiname,optionfilext,version,copyright, fullversion, strstart);
1.126     brouard  3859: }
                   3860: 
                   3861: /************ Frequencies ********************/
1.226   ! brouard  3862: void  freqsummary(char fileres[], int iagemin, int iagemax, int **s, double **agev, int nlstate, int imx, \
        !          3863:                  int *Tvaraff, int *invalidvarcomb, int **nbcode, int *ncodemax,double **mint,double **anint, char strstart[], \
        !          3864:                  int firstpass,  int lastpass, int stepm, int weightopt, char model[])
        !          3865: {  /* Some frequencies */
        !          3866:   
        !          3867:   int i, m, jk, j1, bool, z1,j;
        !          3868:   int iind=0, iage=0;
        !          3869:   int mi; /* Effective wave */
        !          3870:   int first;
        !          3871:   double ***freq; /* Frequencies */
        !          3872:   double *meanq;
        !          3873:   double **meanqt;
        !          3874:   double *pp, **prop, *posprop, *pospropt;
        !          3875:   double pos=0., posproptt=0., pospropta=0., k2, dateintsum=0,k2cpt=0;
        !          3876:   char fileresp[FILENAMELENGTH], fileresphtm[FILENAMELENGTH], fileresphtmfr[FILENAMELENGTH];
        !          3877:   double agebegin, ageend;
        !          3878:     
        !          3879:   pp=vector(1,nlstate);
        !          3880:   prop=matrix(1,nlstate,iagemin-AGEMARGE,iagemax+3+AGEMARGE); 
        !          3881:   posprop=vector(1,nlstate); /* Counting the number of transition starting from a live state per age */ 
        !          3882:   pospropt=vector(1,nlstate); /* Counting the number of transition starting from a live state */ 
        !          3883:   /* prop=matrix(1,nlstate,iagemin,iagemax+3); */
        !          3884:   meanq=vector(1,nqfveff); /* Number of Quantitative Fixed Variables Effective */
        !          3885:   meanqt=matrix(1,lastpass,1,nqtveff);
        !          3886:   strcpy(fileresp,"P_");
        !          3887:   strcat(fileresp,fileresu);
        !          3888:   /*strcat(fileresphtm,fileresu);*/
        !          3889:   if((ficresp=fopen(fileresp,"w"))==NULL) {
        !          3890:     printf("Problem with prevalence resultfile: %s\n", fileresp);
        !          3891:     fprintf(ficlog,"Problem with prevalence resultfile: %s\n", fileresp);
        !          3892:     exit(0);
        !          3893:   }
1.214     brouard  3894: 
1.226   ! brouard  3895:   strcpy(fileresphtm,subdirfext(optionfilefiname,"PHTM_",".htm"));
        !          3896:   if((ficresphtm=fopen(fileresphtm,"w"))==NULL) {
        !          3897:     printf("Problem with prevalence HTM resultfile '%s' with errno='%s'\n",fileresphtm,strerror(errno));
        !          3898:     fprintf(ficlog,"Problem with prevalence HTM resultfile '%s' with errno='%s'\n",fileresphtm,strerror(errno));
        !          3899:     fflush(ficlog);
        !          3900:     exit(70); 
        !          3901:   }
        !          3902:   else{
        !          3903:     fprintf(ficresphtm,"<html><head>\n<title>IMaCh PHTM_ %s</title></head>\n <body><font size=\"2\">%s <br> %s</font> \
1.214     brouard  3904: <hr size=\"2\" color=\"#EC5E5E\"> \n\
                   3905: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s<br>\n",\
1.226   ! brouard  3906:            fileresphtm,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);
        !          3907:   }
        !          3908:   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  3909:     
1.226   ! brouard  3910:   strcpy(fileresphtmfr,subdirfext(optionfilefiname,"PHTMFR_",".htm"));
        !          3911:   if((ficresphtmfr=fopen(fileresphtmfr,"w"))==NULL) {
        !          3912:     printf("Problem with frequency table HTM resultfile '%s' with errno='%s'\n",fileresphtmfr,strerror(errno));
        !          3913:     fprintf(ficlog,"Problem with frequency table HTM resultfile '%s' with errno='%s'\n",fileresphtmfr,strerror(errno));
        !          3914:     fflush(ficlog);
        !          3915:     exit(70); 
        !          3916:   }
        !          3917:   else{
        !          3918:     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  3919: <hr size=\"2\" color=\"#EC5E5E\"> \n\
                   3920: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s<br>\n",\
1.226   ! brouard  3921:            fileresphtmfr,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);
        !          3922:   }
        !          3923:   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  3924: 
1.226   ! brouard  3925:   freq= ma3x(-5,nlstate+ndeath,-5,nlstate+ndeath,iagemin-AGEMARGE,iagemax+3+AGEMARGE);
        !          3926:   j1=0;
1.126     brouard  3927:   
1.226   ! brouard  3928:   j=ncoveff;
        !          3929:   if (cptcovn<1) {j=1;ncodemax[1]=1;}
1.220     brouard  3930: 
1.226   ! brouard  3931:   first=1;
1.220     brouard  3932: 
1.226   ! brouard  3933:   /* Detects if a combination j1 is empty: for a multinomial variable like 3 education levels:
        !          3934:      reference=low_education V1=0,V2=0
        !          3935:      med_educ                V1=1 V2=0, 
        !          3936:      high_educ               V1=0 V2=1
        !          3937:      Then V1=1 and V2=1 is a noisy combination that we want to exclude for the list 2**cptcoveff 
        !          3938:   */
1.126     brouard  3939: 
1.226   ! brouard  3940:   for (j1 = 1; j1 <= (int) pow(2,j); j1++){ /* Loop on covariates combination excluding varying and quantitatives */
        !          3941:     posproptt=0.;
        !          3942:     /*printf("cptcoveff=%d Tvaraff=%d", cptcoveff,Tvaraff[1]);
        !          3943:       scanf("%d", i);*/
        !          3944:     for (i=-5; i<=nlstate+ndeath; i++)  
        !          3945:       for (jk=-5; jk<=nlstate+ndeath; jk++)  
        !          3946:        for(m=iagemin; m <= iagemax+3; m++)
        !          3947:          freq[i][jk][m]=0;
        !          3948:       
        !          3949:     for (i=1; i<=nlstate; i++)  {
        !          3950:       for(m=iagemin; m <= iagemax+3; m++)
        !          3951:        prop[i][m]=0;
        !          3952:       posprop[i]=0;
        !          3953:       pospropt[i]=0;
        !          3954:     }
        !          3955:     for (z1=1; z1<= nqfveff; z1++) {  
        !          3956:       meanq[z1]+=0.;
        !          3957:       for(m=1;m<=lastpass;m++){
        !          3958:        meanqt[m][z1]=0.;
        !          3959:       }
        !          3960:     }
1.220     brouard  3961:       
1.226   ! brouard  3962:     dateintsum=0;
        !          3963:     k2cpt=0;
        !          3964:     /* For that comination of covariate j1, we count and print the frequencies */
        !          3965:     for (iind=1; iind<=imx; iind++) { /* For each individual iind */
        !          3966:       bool=1;
        !          3967:       if (nqfveff >0) { /* Filter is here: Must be looked at for model=V1+V2+V3+V4 */
        !          3968:        for (z1=1; z1<= nqfveff; z1++) {  
        !          3969:          meanq[z1]+=coqvar[Tvar[z1]][iind];
        !          3970:        }
        !          3971:        for (z1=1; z1<=ncoveff; z1++) {  
        !          3972:          /* if(Tvaraff[z1] ==-20){ */
        !          3973:          /*     /\* sumnew+=cotvar[mw[mi][iind]][z1][iind]; *\/ */
        !          3974:          /* }else  if(Tvaraff[z1] ==-10){ */
        !          3975:          /*     /\* sumnew+=coqvar[z1][iind]; *\/ */
        !          3976:          /* }else  */
        !          3977:          if (covar[Tvaraff[z1]][iind]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]){
        !          3978:            /* Tests if this individual i responded to j1 (V4=1 V3=0) */
        !          3979:            bool=0;
        !          3980:            /* 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", 
        !          3981:               bool,i,z1, z1, Tvaraff[z1],i,covar[Tvaraff[z1]][i],j1,z1,codtabm(j1,z1),
        !          3982:               j1,z1,nbcode[Tvaraff[z1]][codtabm(j1,z1)],j1);*/
        !          3983:            /* For j1=7 in V1+V2+V3+V4 = 0 1 1 0 and codtabm(7,3)=1 and nbcde[3][?]=1*/
        !          3984:          } 
        !          3985:        } /* end z1 */
        !          3986:       } /* cptcovn > 0 */
        !          3987: 
        !          3988:       if (bool==1){ /* We selected an individual iin satisfying combination j1 */
        !          3989:        /* for(m=firstpass; m<=lastpass; m++){ */
        !          3990:        for(mi=1; mi<wav[iind];mi++){
        !          3991:          m=mw[mi][iind];
        !          3992:          /* dh[m][iind] or dh[mw[mi][iind]][iind] is the delay between two effective (mi) waves m=mw[mi][iind]
        !          3993:             and mw[mi+1][iind]. dh depends on stepm. */
        !          3994:          agebegin=agev[m][iind]; /* Age at beginning of wave before transition*/
        !          3995:          ageend=agev[m][iind]+(dh[m][iind])*stepm/YEARM; /* Age at end of wave and transition */
        !          3996:          if(m >=firstpass && m <=lastpass){
        !          3997:            k2=anint[m][iind]+(mint[m][iind]/12.);
        !          3998:            /*if ((k2>=dateprev1) && (k2<=dateprev2)) {*/
        !          3999:            if(agev[m][iind]==0) agev[m][iind]=iagemax+1;  /* All ages equal to 0 are in iagemax+1 */
        !          4000:            if(agev[m][iind]==1) agev[m][iind]=iagemax+2;  /* All ages equal to 1 are in iagemax+2 */
        !          4001:            if (s[m][iind]>0 && s[m][iind]<=nlstate)  /* If status at wave m is known and a live state */
        !          4002:              prop[s[m][iind]][(int)agev[m][iind]] += weight[iind];  /* At age of beginning of transition, where status is known */
        !          4003:            if (m<lastpass) {
        !          4004:              /* if(s[m][iind]==4 && s[m+1][iind]==4) */
        !          4005:              /*   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]); */
        !          4006:              if(s[m][iind]==-1)
        !          4007:                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.));
        !          4008:              freq[s[m][iind]][s[m+1][iind]][(int)agev[m][iind]] += weight[iind]; /* At age of beginning of transition, where status is known */
        !          4009:              /* freq[s[m][iind]][s[m+1][iind]][(int)((agebegin+ageend)/2.)] += weight[iind]; */
        !          4010:              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 */
        !          4011:            }
        !          4012:          }  
        !          4013:          if ((agev[m][iind]>1) && (agev[m][iind]< (iagemax+3)) && (anint[m][iind]!=9999) && (mint[m][iind]!=99)) {
        !          4014:            dateintsum=dateintsum+k2;
        !          4015:            k2cpt++;
        !          4016:            /* printf("iind=%ld dateintmean = %lf dateintsum=%lf k2cpt=%lf k2=%lf\n",iind, dateintsum/k2cpt, dateintsum,k2cpt, k2); */
        !          4017:          }
        !          4018:          /*}*/
        !          4019:        } /* end m */
        !          4020:       } /* end bool */
        !          4021:     } /* end iind = 1 to imx */
        !          4022:     /* prop[s][age] is feeded for any initial and valid live state as well as
        !          4023:        freq[s1][s2][age] at single age of beginning the transition, for a combination j1 */
        !          4024: 
        !          4025: 
        !          4026:     /*      fprintf(ficresp, "#Count between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);*/
        !          4027:     pstamp(ficresp);
        !          4028:     if  (ncoveff>0) {
        !          4029:       fprintf(ficresp, "\n#********** Variable "); 
        !          4030:       fprintf(ficresphtm, "\n<br/><br/><h3>********** Variable "); 
        !          4031:       fprintf(ficresphtmfr, "\n<br/><br/><h3>********** Variable "); 
        !          4032:       for (z1=1; z1<=ncoveff; z1++){
        !          4033:        fprintf(ficresp, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
        !          4034:        fprintf(ficresphtm, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
        !          4035:        fprintf(ficresphtmfr, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
        !          4036:       }
        !          4037:       fprintf(ficresp, "**********\n#");
        !          4038:       fprintf(ficresphtm, "**********</h3>\n");
        !          4039:       fprintf(ficresphtmfr, "**********</h3>\n");
        !          4040:       fprintf(ficlog, "\n#********** Variable "); 
        !          4041:       for (z1=1; z1<=ncoveff; z1++) fprintf(ficlog, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
        !          4042:       fprintf(ficlog, "**********\n");
        !          4043:     }
        !          4044:     fprintf(ficresphtm,"<table style=\"text-align:center; border: 1px solid\">");
        !          4045:     for(i=1; i<=nlstate;i++) {
        !          4046:       fprintf(ficresp, " Age Prev(%d) N(%d) N",i,i);
        !          4047:       fprintf(ficresphtm, "<th>Age</th><th>Prev(%d)</th><th>N(%d)</th><th>N</th>",i,i);
        !          4048:     }
        !          4049:     fprintf(ficresp, "\n");
        !          4050:     fprintf(ficresphtm, "\n");
        !          4051:       
        !          4052:     /* Header of frequency table by age */
        !          4053:     fprintf(ficresphtmfr,"<table style=\"text-align:center; border: 1px solid\">");
        !          4054:     fprintf(ficresphtmfr,"<th>Age</th> ");
        !          4055:     for(jk=-1; jk <=nlstate+ndeath; jk++){
        !          4056:       for(m=-1; m <=nlstate+ndeath; m++){
        !          4057:        if(jk!=0 && m!=0)
        !          4058:          fprintf(ficresphtmfr,"<th>%d%d</th> ",jk,m);
        !          4059:       }
        !          4060:     }
        !          4061:     fprintf(ficresphtmfr, "\n");
        !          4062:       
        !          4063:     /* For each age */
        !          4064:     for(iage=iagemin; iage <= iagemax+3; iage++){
        !          4065:       fprintf(ficresphtm,"<tr>");
        !          4066:       if(iage==iagemax+1){
        !          4067:        fprintf(ficlog,"1");
        !          4068:        fprintf(ficresphtmfr,"<tr><th>0</th> ");
        !          4069:       }else if(iage==iagemax+2){
        !          4070:        fprintf(ficlog,"0");
        !          4071:        fprintf(ficresphtmfr,"<tr><th>Unknown</th> ");
        !          4072:       }else if(iage==iagemax+3){
        !          4073:        fprintf(ficlog,"Total");
        !          4074:        fprintf(ficresphtmfr,"<tr><th>Total</th> ");
        !          4075:       }else{
        !          4076:        if(first==1){
        !          4077:          first=0;
        !          4078:          printf("See log file for details...\n");
        !          4079:        }
        !          4080:        fprintf(ficresphtmfr,"<tr><th>%d</th> ",iage);
        !          4081:        fprintf(ficlog,"Age %d", iage);
        !          4082:       }
        !          4083:       for(jk=1; jk <=nlstate ; jk++){
        !          4084:        for(m=-1, pp[jk]=0; m <=nlstate+ndeath ; m++)
        !          4085:          pp[jk] += freq[jk][m][iage]; 
        !          4086:       }
        !          4087:       for(jk=1; jk <=nlstate ; jk++){
        !          4088:        for(m=-1, pos=0; m <=0 ; m++)
        !          4089:          pos += freq[jk][m][iage];
        !          4090:        if(pp[jk]>=1.e-10){
        !          4091:          if(first==1){
        !          4092:            printf(" %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);
        !          4093:          }
        !          4094:          fprintf(ficlog," %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);
        !          4095:        }else{
        !          4096:          if(first==1)
        !          4097:            printf(" %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);
        !          4098:          fprintf(ficlog," %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);
        !          4099:        }
        !          4100:       }
        !          4101: 
        !          4102:       for(jk=1; jk <=nlstate ; jk++){ 
        !          4103:        /* posprop[jk]=0; */
        !          4104:        for(m=0, pp[jk]=0; m <=nlstate+ndeath; m++)/* Summing on all ages */
        !          4105:          pp[jk] += freq[jk][m][iage];
        !          4106:       }        /* pp[jk] is the total number of transitions starting from state jk and any ending status until this age */
        !          4107: 
        !          4108:       for(jk=1,pos=0, pospropta=0.; jk <=nlstate ; jk++){
        !          4109:        pos += pp[jk]; /* pos is the total number of transitions until this age */
        !          4110:        posprop[jk] += prop[jk][iage]; /* prop is the number of transitions from a live state
        !          4111:                                          from jk at age iage prop[s[m][iind]][(int)agev[m][iind]] += weight[iind] */
        !          4112:        pospropta += prop[jk][iage]; /* prop is the number of transitions from a live state
        !          4113:                                        from jk at age iage prop[s[m][iind]][(int)agev[m][iind]] += weight[iind] */
        !          4114:       }
        !          4115:       for(jk=1; jk <=nlstate ; jk++){
        !          4116:        if(pos>=1.e-5){
        !          4117:          if(first==1)
        !          4118:            printf(" %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);
        !          4119:          fprintf(ficlog," %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);
        !          4120:        }else{
        !          4121:          if(first==1)
        !          4122:            printf(" %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);
        !          4123:          fprintf(ficlog," %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);
        !          4124:        }
        !          4125:        if( iage <= iagemax){
        !          4126:          if(pos>=1.e-5){
        !          4127:            fprintf(ficresp," %d %.5f %.0f %.0f",iage,prop[jk][iage]/pospropta, prop[jk][iage],pospropta);
        !          4128:            fprintf(ficresphtm,"<th>%d</th><td>%.5f</td><td>%.0f</td><td>%.0f</td>",iage,prop[jk][iage]/pospropta, prop[jk][iage],pospropta);
        !          4129:            /*probs[iage][jk][j1]= pp[jk]/pos;*/
        !          4130:            /*printf("\niage=%d jk=%d j1=%d %.5f %.0f %.0f %f",iage,jk,j1,pp[jk]/pos, pp[jk],pos,probs[iage][jk][j1]);*/
        !          4131:          }
        !          4132:          else{
        !          4133:            fprintf(ficresp," %d NaNq %.0f %.0f",iage,prop[jk][iage],pospropta);
        !          4134:            fprintf(ficresphtm,"<th>%d</th><td>NaNq</td><td>%.0f</td><td>%.0f</td>",iage, prop[jk][iage],pospropta);
        !          4135:          }
        !          4136:        }
        !          4137:        pospropt[jk] +=posprop[jk];
        !          4138:       } /* end loop jk */
        !          4139:       /* pospropt=0.; */
        !          4140:       for(jk=-1; jk <=nlstate+ndeath; jk++){
        !          4141:        for(m=-1; m <=nlstate+ndeath; m++){
        !          4142:          if(freq[jk][m][iage] !=0 ) { /* minimizing output */
        !          4143:            if(first==1){
        !          4144:              printf(" %d%d=%.0f",jk,m,freq[jk][m][iage]);
        !          4145:            }
        !          4146:            fprintf(ficlog," %d%d=%.0f",jk,m,freq[jk][m][iage]);
        !          4147:          }
        !          4148:          if(jk!=0 && m!=0)
        !          4149:            fprintf(ficresphtmfr,"<td>%.0f</td> ",freq[jk][m][iage]);
        !          4150:        }
        !          4151:       } /* end loop jk */
        !          4152:       posproptt=0.; 
        !          4153:       for(jk=1; jk <=nlstate; jk++){
        !          4154:        posproptt += pospropt[jk];
        !          4155:       }
        !          4156:       fprintf(ficresphtmfr,"</tr>\n ");
        !          4157:       if(iage <= iagemax){
        !          4158:        fprintf(ficresp,"\n");
        !          4159:        fprintf(ficresphtm,"</tr>\n");
        !          4160:       }
        !          4161:       if(first==1)
        !          4162:        printf("Others in log...\n");
        !          4163:       fprintf(ficlog,"\n");
        !          4164:     } /* end loop age iage */
        !          4165:     fprintf(ficresphtm,"<tr><th>Tot</th>");
        !          4166:     for(jk=1; jk <=nlstate ; jk++){
        !          4167:       if(posproptt < 1.e-5){
        !          4168:        fprintf(ficresphtm,"<td>Nanq</td><td>%.0f</td><td>%.0f</td>",pospropt[jk],posproptt);   
        !          4169:       }else{
        !          4170:        fprintf(ficresphtm,"<td>%.5f</td><td>%.0f</td><td>%.0f</td>",pospropt[jk]/posproptt,pospropt[jk],posproptt);    
        !          4171:       }
        !          4172:     }
        !          4173:     fprintf(ficresphtm,"</tr>\n");
        !          4174:     fprintf(ficresphtm,"</table>\n");
        !          4175:     fprintf(ficresphtmfr,"</table>\n");
        !          4176:     if(posproptt < 1.e-5){
        !          4177:       fprintf(ficresphtm,"\n <p><b> This combination (%d) is not valid and no result will be produced</b></p>",j1);
        !          4178:       fprintf(ficresphtmfr,"\n <p><b> This combination (%d) is not valid and no result will be produced</b></p>",j1);
        !          4179:       fprintf(ficres,"\n  This combination (%d) is not valid and no result will be produced\n\n",j1);
        !          4180:       invalidvarcomb[j1]=1;
        !          4181:     }else{
        !          4182:       fprintf(ficresphtm,"\n <p> This combination (%d) is valid and result will be produced.</p>",j1);
        !          4183:       invalidvarcomb[j1]=0;
        !          4184:     }
        !          4185:     fprintf(ficresphtmfr,"</table>\n");
        !          4186:   } /* end selected combination of covariate j1 */
        !          4187:   dateintmean=dateintsum/k2cpt; 
1.220     brouard  4188:                 
1.226   ! brouard  4189:   fclose(ficresp);
        !          4190:   fclose(ficresphtm);
        !          4191:   fclose(ficresphtmfr);
        !          4192:   free_vector(meanq,1,nqfveff);
        !          4193:   free_matrix(meanqt,1,lastpass,1,nqtveff);
        !          4194:   free_ma3x(freq,-5,nlstate+ndeath,-5,nlstate+ndeath, iagemin-AGEMARGE, iagemax+3+AGEMARGE);
        !          4195:   free_vector(pospropt,1,nlstate);
        !          4196:   free_vector(posprop,1,nlstate);
        !          4197:   free_matrix(prop,1,nlstate,iagemin-AGEMARGE, iagemax+3+AGEMARGE);
        !          4198:   free_vector(pp,1,nlstate);
        !          4199:   /* End of freqsummary */
        !          4200: }
1.126     brouard  4201: 
                   4202: /************ Prevalence ********************/
1.222     brouard  4203:  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)
                   4204:  {  
                   4205:    /* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people
                   4206:       in each health status at the date of interview (if between dateprev1 and dateprev2).
                   4207:       We still use firstpass and lastpass as another selection.
                   4208:    */
1.126     brouard  4209:  
1.222     brouard  4210:    int i, m, jk, j1, bool, z1,j;
                   4211:    int mi; /* Effective wave */
                   4212:    int iage;
                   4213:    double agebegin, ageend;
                   4214: 
                   4215:    double **prop;
                   4216:    double posprop; 
                   4217:    double  y2; /* in fractional years */
                   4218:    int iagemin, iagemax;
                   4219:    int first; /** to stop verbosity which is redirected to log file */
                   4220: 
                   4221:    iagemin= (int) agemin;
                   4222:    iagemax= (int) agemax;
                   4223:    /*pp=vector(1,nlstate);*/
                   4224:    prop=matrix(1,nlstate,iagemin-AGEMARGE,iagemax+3+AGEMARGE); 
                   4225:    /*  freq=ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,iagemin,iagemax+3);*/
                   4226:    j1=0;
                   4227:   
                   4228:    /*j=cptcoveff;*/
                   4229:    if (cptcovn<1) {j=1;ncodemax[1]=1;}
                   4230:   
                   4231:    first=1;
1.225     brouard  4232:    for(j1=1; j1<= (int) pow(2,cptcoveff);j1++){ /* For each combination of covariate */
1.222     brouard  4233:      for (i=1; i<=nlstate; i++)  
                   4234:        for(iage=iagemin-AGEMARGE; iage <= iagemax+3+AGEMARGE; iage++)
                   4235:         prop[i][iage]=0.0;
                   4236:     
                   4237:      for (i=1; i<=imx; i++) { /* Each individual */
                   4238:        bool=1;
                   4239:        if  (cptcovn>0) {  /* Filter is here: Must be looked at for model=V1+V2+V3+V4 */
1.225     brouard  4240:         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  4241:           if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]) 
                   4242:             bool=0;
                   4243:        } 
                   4244:        if (bool==1) { /* For this combination of covariates values, this individual fits */
                   4245:         /* for(m=firstpass; m<=lastpass; m++){/\* Other selection (we can limit to certain interviews*\/ */
                   4246:         for(mi=1; mi<wav[i];mi++){
                   4247:           m=mw[mi][i];
                   4248:           agebegin=agev[m][i]; /* Age at beginning of wave before transition*/
                   4249:           /* ageend=agev[m][i]+(dh[m][i])*stepm/YEARM; /\* Age at end of wave and transition *\/ */
                   4250:           if(m >=firstpass && m <=lastpass){
                   4251:             y2=anint[m][i]+(mint[m][i]/12.); /* Fractional date in year */
                   4252:             if ((y2>=dateprev1) && (y2<=dateprev2)) { /* Here is the main selection (fractional years) */
                   4253:               if(agev[m][i]==0) agev[m][i]=iagemax+1;
                   4254:               if(agev[m][i]==1) agev[m][i]=iagemax+2;
                   4255:               if((int)agev[m][i] <iagemin-AGEMARGE || (int)agev[m][i] >iagemax+3+AGEMARGE){
                   4256:                 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); 
                   4257:                 exit(1);
                   4258:               }
                   4259:               if (s[m][i]>0 && s[m][i]<=nlstate) { 
                   4260:                 /*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]]);*/
                   4261:                 prop[s[m][i]][(int)agev[m][i]] += weight[i];/* At age of beginning of transition, where status is known */
                   4262:                 prop[s[m][i]][iagemax+3] += weight[i]; 
                   4263:               } /* end valid statuses */ 
                   4264:             } /* end selection of dates */
                   4265:           } /* end selection of waves */
                   4266:         } /* end effective waves */
                   4267:        } /* end bool */
                   4268:      }
                   4269:      for(i=iagemin; i <= iagemax+3; i++){  
                   4270:        for(jk=1,posprop=0; jk <=nlstate ; jk++) { 
                   4271:         posprop += prop[jk][i]; 
                   4272:        } 
                   4273:       
                   4274:        for(jk=1; jk <=nlstate ; jk++){     
                   4275:         if( i <=  iagemax){ 
                   4276:           if(posprop>=1.e-5){ 
                   4277:             probs[i][jk][j1]= prop[jk][i]/posprop;
                   4278:           } else{
                   4279:             if(first==1){
                   4280:               first=0;
                   4281:               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]);
                   4282:             }
                   4283:           }
                   4284:         } 
                   4285:        }/* end jk */ 
                   4286:      }/* end i */ 
                   4287:      /*} *//* end i1 */
                   4288:    } /* end j1 */
                   4289:   
                   4290:    /*  free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath, iagemin, iagemax+3);*/
                   4291:    /*free_vector(pp,1,nlstate);*/
                   4292:    free_matrix(prop,1,nlstate, iagemin-AGEMARGE,iagemax+3+AGEMARGE);
                   4293:  }  /* End of prevalence */
1.126     brouard  4294: 
                   4295: /************* Waves Concatenation ***************/
                   4296: 
                   4297: 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)
                   4298: {
                   4299:   /* Concatenates waves: wav[i] is the number of effective (useful waves) of individual i.
                   4300:      Death is a valid wave (if date is known).
                   4301:      mw[mi][i] is the mi (mi=1 to wav[i])  effective wave of individual i
                   4302:      dh[m][i] or dh[mw[mi][i]][i] is the delay between two effective waves m=mw[mi][i]
                   4303:      and mw[mi+1][i]. dh depends on stepm.
                   4304:      */
                   4305: 
1.224     brouard  4306:   int i=0, mi=0, m=0, mli=0;
1.126     brouard  4307:   /* int j, k=0,jk, ju, jl,jmin=1e+5, jmax=-1;
                   4308:      double sum=0., jmean=0.;*/
1.224     brouard  4309:   int first=0, firstwo=0, firsthree=0, firstfour=0, firstfiv=0;
1.126     brouard  4310:   int j, k=0,jk, ju, jl;
                   4311:   double sum=0.;
                   4312:   first=0;
1.214     brouard  4313:   firstwo=0;
1.217     brouard  4314:   firsthree=0;
1.218     brouard  4315:   firstfour=0;
1.164     brouard  4316:   jmin=100000;
1.126     brouard  4317:   jmax=-1;
                   4318:   jmean=0.;
1.224     brouard  4319: 
                   4320: /* Treating live states */
1.214     brouard  4321:   for(i=1; i<=imx; i++){  /* For simple cases and if state is death */
1.224     brouard  4322:     mi=0;  /* First valid wave */
                   4323:                mli=0; /* Last valid wave */
1.126     brouard  4324:     m=firstpass;
1.214     brouard  4325:     while(s[m][i] <= nlstate){  /* a live state */
1.224     brouard  4326:                        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 */
                   4327:                                mli=m-1;/* mw[++mi][i]=m-1; */
                   4328:                        }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  4329:                                mw[++mi][i]=m;
1.224     brouard  4330:                                mli=m;
                   4331:       } /* else might be a useless wave  -1 and mi is not incremented and mw[mi] not updated */
                   4332:       if(m < lastpass){ /* m < lastpass, standard case */
                   4333:                                m++; /* mi gives the "effective" current wave, m the current wave, go to next wave by incrementing m */
1.216     brouard  4334:       }
1.224     brouard  4335:                        else{ /* m >= lastpass, eventual special issue with warning */
                   4336: #ifdef UNKNOWNSTATUSNOTCONTRIBUTING
                   4337:                                break;
                   4338: #else
1.223     brouard  4339:                                if(s[m][i]==-1 && (int) andc[i] == 9999 && (int)anint[m][i] != 9999){
                   4340:                                        if(firsthree == 0){
1.224     brouard  4341:                                                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  4342:                                                firsthree=1;
                   4343:                                        }
1.224     brouard  4344:                                        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  4345:                                        mw[++mi][i]=m;
1.224     brouard  4346:                                        mli=m;
1.223     brouard  4347:                                }
                   4348:                                if(s[m][i]==-2){ /* Vital status is really unknown */
                   4349:                                        nbwarn++;
                   4350:                                        if((int)anint[m][i] == 9999){  /*  Has the vital status really been verified? */
                   4351:                                                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  4352:                                                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  4353:                                        }
                   4354:                                        break;
                   4355:                                }
                   4356:                                break;
1.224     brouard  4357: #endif
                   4358:                        }/* End m >= lastpass */
1.126     brouard  4359:     }/* end while */
1.224     brouard  4360: 
                   4361:        /* 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  4362:     /* After last pass */
1.224     brouard  4363: /* Treating death states */
1.214     brouard  4364:     if (s[m][i] > nlstate){  /* In a death state */
1.224     brouard  4365:                        /* if( mint[m][i]==mdc[m][i] && anint[m][i]==andc[m][i]){ /\* same date of death and date of interview *\/ */
                   4366:                        /* } */
1.126     brouard  4367:       mi++;    /* Death is another wave */
                   4368:       /* if(mi==0)  never been interviewed correctly before death */
1.223     brouard  4369:                        /* Only death is a correct wave */
1.126     brouard  4370:       mw[mi][i]=m;
1.224     brouard  4371:     }
                   4372: #ifndef DISPATCHINGKNOWNDEATHAFTERLASTWAVE
                   4373:                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  4374:       /* m++; */
                   4375:       /* mi++; */
                   4376:       /* s[m][i]=nlstate+1;  /\* We are setting the status to the last of non live state *\/ */
                   4377:       /* mw[mi][i]=m; */
1.218     brouard  4378:       if ((int)anint[m][i]!= 9999) { /* date of last interview is known */
1.224     brouard  4379:                                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 */
                   4380:                                        nbwarn++;
                   4381:                                        if(firstfiv==0){
                   4382:                                                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 );
                   4383:                                                firstfiv=1;
                   4384:                                        }else{
                   4385:                                                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 );
                   4386:                                        }
                   4387:                                }else{ /* Death occured afer last wave potential bias */
                   4388:                                        nberr++;
                   4389:                                        if(firstwo==0){
                   4390:                                                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 );
                   4391:                                                firstwo=1;
                   4392:                                        }
                   4393:                                        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  4394:                                }
1.218     brouard  4395:       }else{ /* end date of interview is known */
1.223     brouard  4396:                                /* death is known but not confirmed by death status at any wave */
                   4397:                                if(firstfour==0){
                   4398:                                        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 );
                   4399:                                        firstfour=1;
                   4400:                                }
                   4401:                                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  4402:       }
1.224     brouard  4403:     } /* end if date of death is known */
                   4404: #endif
                   4405:     wav[i]=mi; /* mi should be the last effective wave (or mli) */
                   4406:     /* wav[i]=mw[mi][i]; */
1.126     brouard  4407:     if(mi==0){
                   4408:       nbwarn++;
                   4409:       if(first==0){
1.223     brouard  4410:                                printf("Warning! No valid information for individual %ld line=%d (skipped) and may be others, see log file\n",num[i],i);
                   4411:                                first=1;
1.126     brouard  4412:       }
                   4413:       if(first==1){
1.223     brouard  4414:                                fprintf(ficlog,"Warning! No valid information for individual %ld line=%d (skipped)\n",num[i],i);
1.126     brouard  4415:       }
                   4416:     } /* end mi==0 */
                   4417:   } /* End individuals */
1.214     brouard  4418:   /* wav and mw are no more changed */
1.223     brouard  4419:        
1.214     brouard  4420:   
1.126     brouard  4421:   for(i=1; i<=imx; i++){
                   4422:     for(mi=1; mi<wav[i];mi++){
                   4423:       if (stepm <=0)
1.223     brouard  4424:                                dh[mi][i]=1;
1.126     brouard  4425:       else{
1.223     brouard  4426:                                if (s[mw[mi+1][i]][i] > nlstate) { /* A death */
                   4427:                                        if (agedc[i] < 2*AGESUP) {
                   4428:                                                j= rint(agedc[i]*12-agev[mw[mi][i]][i]*12); 
                   4429:                                                if(j==0) j=1;  /* Survives at least one month after exam */
                   4430:                                                else if(j<0){
                   4431:                                                        nberr++;
                   4432:                                                        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]);
                   4433:                                                        j=1; /* Temporary Dangerous patch */
                   4434:                                                        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);
                   4435:                                                        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]);
                   4436:                                                        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);
                   4437:                                                }
                   4438:                                                k=k+1;
                   4439:                                                if (j >= jmax){
                   4440:                                                        jmax=j;
                   4441:                                                        ijmax=i;
                   4442:                                                }
                   4443:                                                if (j <= jmin){
                   4444:                                                        jmin=j;
                   4445:                                                        ijmin=i;
                   4446:                                                }
                   4447:                                                sum=sum+j;
                   4448:                                                /*if (j<0) printf("j=%d num=%d \n",j,i);*/
                   4449:                                                /*        printf("%d %d %d %d\n", s[mw[mi][i]][i] ,s[mw[mi+1][i]][i],j,i);*/
                   4450:                                        }
                   4451:                                }
                   4452:                                else{
                   4453:                                        j= rint( (agev[mw[mi+1][i]][i]*12 - agev[mw[mi][i]][i]*12));
1.126     brouard  4454: /*       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  4455:                                        
                   4456:                                        k=k+1;
                   4457:                                        if (j >= jmax) {
                   4458:                                                jmax=j;
                   4459:                                                ijmax=i;
                   4460:                                        }
                   4461:                                        else if (j <= jmin){
                   4462:                                                jmin=j;
                   4463:                                                ijmin=i;
                   4464:                                        }
                   4465:                                        /*          if (j<10) printf("j=%d jmin=%d num=%d ",j,jmin,i); */
                   4466:                                        /*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]);*/
                   4467:                                        if(j<0){
                   4468:                                                nberr++;
                   4469:                                                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]);
                   4470:                                                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]);
                   4471:                                        }
                   4472:                                        sum=sum+j;
                   4473:                                }
                   4474:                                jk= j/stepm;
                   4475:                                jl= j -jk*stepm;
                   4476:                                ju= j -(jk+1)*stepm;
                   4477:                                if(mle <=1){ /* only if we use a the linear-interpoloation pseudo-likelihood */
                   4478:                                        if(jl==0){
                   4479:                                                dh[mi][i]=jk;
                   4480:                                                bh[mi][i]=0;
                   4481:                                        }else{ /* We want a negative bias in order to only have interpolation ie
                   4482:                                                                        * to avoid the price of an extra matrix product in likelihood */
                   4483:                                                dh[mi][i]=jk+1;
                   4484:                                                bh[mi][i]=ju;
                   4485:                                        }
                   4486:                                }else{
                   4487:                                        if(jl <= -ju){
                   4488:                                                dh[mi][i]=jk;
                   4489:                                                bh[mi][i]=jl;   /* bias is positive if real duration
                   4490:                                                                                                         * is higher than the multiple of stepm and negative otherwise.
                   4491:                                                                                                         */
                   4492:                                        }
                   4493:                                        else{
                   4494:                                                dh[mi][i]=jk+1;
                   4495:                                                bh[mi][i]=ju;
                   4496:                                        }
                   4497:                                        if(dh[mi][i]==0){
                   4498:                                                dh[mi][i]=1; /* At least one step */
                   4499:                                                bh[mi][i]=ju; /* At least one step */
                   4500:                                                /*  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);*/
                   4501:                                        }
                   4502:                                } /* end if mle */
1.126     brouard  4503:       }
                   4504:     } /* end wave */
                   4505:   }
                   4506:   jmean=sum/k;
                   4507:   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  4508:   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  4509:  }
                   4510: 
                   4511: /*********** Tricode ****************************/
1.220     brouard  4512:  void tricode(int *cptcov, int *Tvar, int **nbcode, int imx, int *Ndum)
1.126     brouard  4513: {
1.144     brouard  4514:   /**< Uses cptcovn+2*cptcovprod as the number of covariates */
                   4515:   /*     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  4516:    * Boring subroutine which should only output nbcode[Tvar[j]][k]
1.224     brouard  4517:    * Tvar[5] in V2+V1+V3*age+V2*V4 is 4 (V4) even it is a time varying or quantitative variable
                   4518:    * nbcode[Tvar[5]][1]= nbcode[4][1]=0, nbcode[4][2]=1 (usually);
1.144     brouard  4519:   */
1.130     brouard  4520: 
1.145     brouard  4521:   int ij=1, k=0, j=0, i=0, maxncov=NCOVMAX;
1.136     brouard  4522:   int modmaxcovj=0; /* Modality max of covariates j */
1.145     brouard  4523:   int cptcode=0; /* Modality max of covariates j */
                   4524:   int modmincovj=0; /* Modality min of covariates j */
                   4525: 
                   4526: 
1.220     brouard  4527:   /* cptcoveff=0;  */
1.224     brouard  4528:        /* *cptcov=0; */
1.126     brouard  4529:  
1.144     brouard  4530:   for (k=1; k <= maxncov; k++) ncodemax[k]=0; /* Horrible constant again replaced by NCOVMAX */
1.126     brouard  4531: 
1.224     brouard  4532:   /* Loop on covariates without age and products and no quantitative variable */
                   4533:   /* for (j=1; j<=(cptcovs); j++) { /\* From model V1 + V2*age+ V3 + V3*V4 keeps V1 + V3 = 2 only *\/ */
1.225     brouard  4534:   for (j=1; j<=cptcovsnq; j++) { /* From model V1 + V2*age + V3 + V3*V4 keeps V1 + V3 = 2 only */
1.192     brouard  4535:     for (k=-1; k < maxncov; k++) Ndum[k]=0;
1.186     brouard  4536:     for (i=1; i<=imx; i++) { /* Loop on individuals: reads the data file to get the maximum value of the 
1.225     brouard  4537:                                modality of this covariate Vj*/
                   4538:       switch(Typevar[j]) {
                   4539:       case 1: /* A real fixed dummy covariate */
                   4540:        ij=(int)(covar[Tvar[j]][i]); /* ij=0 or 1 or -1. Value of the covariate Tvar[j] for individual i
                   4541:                                      * If product of Vn*Vm, still boolean *:
                   4542:                                      * If it was coded 1, 2, 3, 4 should be splitted into 3 boolean variables
                   4543:                                      * 1 => 0 0 0, 2 => 0 0 1, 3 => 0 1 1, 4=1 0 0   */
                   4544:        /* Finds for covariate j, n=Tvar[j] of Vn . ij is the
                   4545:           modality of the nth covariate of individual i. */
                   4546:        if (ij > modmaxcovj)
                   4547:          modmaxcovj=ij; 
                   4548:        else if (ij < modmincovj) 
                   4549:          modmincovj=ij; 
                   4550:        if ((ij < -1) && (ij > NCOVMAX)){
                   4551:          printf( "Error: minimal is less than -1 or maximal is bigger than %d. Exiting. \n", NCOVMAX );
                   4552:          exit(1);
                   4553:        }else
                   4554:          Ndum[ij]++; /*counts and stores the occurence of this modality 0, 1, -1*/
                   4555:        /*  If coded 1, 2, 3 , counts the number of 1 Ndum[1], number of 2, Ndum[2], etc */
                   4556:        /*printf("i=%d ij=%d Ndum[ij]=%d imx=%d",i,ij,Ndum[ij],imx);*/
                   4557:        /* getting the maximum value of the modality of the covariate
                   4558:           (should be 0 or 1 now) Tvar[j]. If V=sex and male is coded 0 and
                   4559:           female ies 1, then modmaxcovj=1.*/
                   4560:        break;
                   4561:       case 2:
                   4562:        break;
                   4563: 
                   4564:       }
                   4565:     } /* end for loop on individuals i */
1.145     brouard  4566:     printf(" Minimal and maximal values of %d th covariate V%d: min=%d max=%d \n", j, Tvar[j], modmincovj, modmaxcovj);
1.192     brouard  4567:     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  4568:     cptcode=modmaxcovj;
1.137     brouard  4569:     /* Ndum[0] = frequency of 0 for model-covariate j, Ndum[1] frequency of 1 etc. */
1.225     brouard  4570:     /*for (i=0; i<=cptcode; i++) {*/
1.192     brouard  4571:     for (k=modmincovj;  k<=modmaxcovj; k++) { /* k=-1 ? 0 and 1*//* For each value k of the modality of model-cov j */
                   4572:       printf("Frequencies of covariates %d ie V%d with value %d: %d\n", j, Tvar[j], k, Ndum[k]);
                   4573:       fprintf(ficlog, "Frequencies of covariates %d ie V%d with value %d: %d\n", j, Tvar[j], k, Ndum[k]);
                   4574:       if( Ndum[k] != 0 ){ /* Counts if nobody answered modality k ie empty modality, we skip it and reorder */
1.225     brouard  4575:        if( k != -1){
                   4576:          ncodemax[j]++;  /* ncodemax[j]= Number of modalities of the j th
                   4577:                             covariate for which somebody answered excluding 
                   4578:                             undefined. Usually 2: 0 and 1. */
                   4579:        }
                   4580:        ncodemaxwundef[j]++; /* ncodemax[j]= Number of modalities of the j th
                   4581:                                covariate for which somebody answered including 
                   4582:                                undefined. Usually 3: -1, 0 and 1. */
1.145     brouard  4583:       }
                   4584:       /* In fact  ncodemax[j]=2 (dichotom. variables only) but it could be more for
1.225     brouard  4585:        * historical reasons: 3 if coded 1, 2, 3 and 4 and Ndum[2]=0 */
1.131     brouard  4586:     } /* Ndum[-1] number of undefined modalities */
1.225     brouard  4587:     
1.136     brouard  4588:     /* j is a covariate, n=Tvar[j] of Vn; Fills nbcode */
1.186     brouard  4589:     /* For covariate j, modalities could be 1, 2, 3, 4, 5, 6, 7. 
                   4590:        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  4591:        modmincovj=3; modmaxcovj = 7;
1.186     brouard  4592:        There are only 3 modalities non empty 3, 6, 7 (or 2 if 27 is too few) : ncodemax[j]=3;
                   4593:        which will be coded 0, 1, 2 which in binary on 2=3-1 digits are 0=00 1=01, 2=10;
                   4594:        defining two dummy variables: variables V1_1 and V1_2.
1.145     brouard  4595:        nbcode[Tvar[j]][ij]=k;
                   4596:        nbcode[Tvar[j]][1]=0;
                   4597:        nbcode[Tvar[j]][2]=1;
                   4598:        nbcode[Tvar[j]][3]=2;
1.197     brouard  4599:        To be continued (not working yet).
1.145     brouard  4600:     */
1.197     brouard  4601:     ij=0; /* ij is similar to i but can jump over null modalities */
                   4602:     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  4603:       if (Ndum[i] == 0) { /* If nobody responded to this modality k */
                   4604:        break;
                   4605:       }
                   4606:       ij++;
                   4607:       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.*/
                   4608:       cptcode = ij; /* New max modality for covar j */
1.192     brouard  4609:     } /* end of loop on modality i=-1 to 1 or more */
1.225     brouard  4610:     
1.192     brouard  4611:     /*   for (k=0; k<= cptcode; k++) { /\* k=-1 ? k=0 to 1 *\//\* Could be 1 to 4 *\//\* cptcode=modmaxcovj *\/ */
                   4612:     /*         /\*recode from 0 *\/ */
                   4613:     /*                                      k is a modality. If we have model=V1+V1*sex  */
                   4614:     /*                                      then: nbcode[1][1]=0 ; nbcode[1][2]=1; nbcode[2][1]=0 ; nbcode[2][2]=1; */
                   4615:     /*                                   But if some modality were not used, it is recoded from 0 to a newer modmaxcovj=cptcode *\/ */
                   4616:     /*         } */
                   4617:     /*         /\* cptcode = ij; *\/ /\* New max modality for covar j *\/ */
                   4618:     /*         if (ij > ncodemax[j]) { */
                   4619:     /*           printf( " Error ij=%d > ncodemax[%d]=%d\n", ij, j, ncodemax[j]);  */
                   4620:     /*           fprintf(ficlog, " Error ij=%d > ncodemax[%d]=%d\n", ij, j, ncodemax[j]); */
                   4621:     /*           break; */
                   4622:     /*         } */
                   4623:     /*   }  /\* end of loop on modality k *\/ */
1.137     brouard  4624:   } /* end of loop on model-covariate j. nbcode[Tvarj][1]=0 and nbcode[Tvarj][2]=1 sets the value of covariate j*/  
                   4625:   
1.225     brouard  4626:   for (k=-1; k< maxncov; k++) Ndum[k]=0; 
1.137     brouard  4627:   
1.187     brouard  4628:   for (i=1; i<=ncovmodel-2-nagesqr; i++) { /* -2, cste and age and eventually age*age */ 
1.225     brouard  4629:     /* Listing of all covariables in statement model to see if some covariates appear twice. For example, V1 appears twice in V1+V1*V2.*/ 
                   4630:     ij=Tvar[i]; /* Tvar might be -1 if status was unknown */ 
                   4631:     Ndum[ij]++; /* Might be supersed V1 + V1*age */
                   4632:   } /* V4+V3+V5, Ndum[1]@5={0, 0, 1, 1, 1} */
                   4633:   
                   4634:   ij=0;
                   4635:   for (i=0; i<=  maxncov-1; i++) { /* modmaxcovj is unknown here. Only Ndum[2(V2),3(age*V3), 5(V3*V2) 6(V1*V4) */
                   4636:     /*printf("Ndum[%d]=%d\n",i, Ndum[i]);*/
                   4637:     if((Ndum[i]!=0) && (i<=ncovcol)){
                   4638:       /*printf("diff Ndum[%d]=%d\n",i, Ndum[i]);*/
                   4639:       Tvaraff[++ij]=i; /*For printing (unclear) */
                   4640:     }else if((Ndum[i]!=0) && (i<=ncovcol+nqv)){
                   4641:       Tvaraff[++ij]=-10; /* Dont'n know how to treat quantitative variables yet */
                   4642:     }else if((Ndum[i]!=0) && (i<=ncovcol+nqv+ntv)){
                   4643:       Tvaraff[++ij]=i; /*For printing (unclear) */
                   4644:     }else if((Ndum[i]!=0) && (i<=ncovcol+nqv+ntv+nqtv)){
                   4645:       Tvaraff[++ij]=-20; /* Dont'n know how to treat quantitative variables yet */
                   4646:     }
                   4647:   } /* Tvaraff[1]@5 {3, 4, -20, 0, 0} Very strange */
                   4648:   /* ij--; */
                   4649:   /* cptcoveff=ij; /\*Number of total covariates*\/ */
                   4650:   *cptcov=ij; /*Number of total real effective covariates: effective
                   4651:               * because they can be excluded from the model and real
                   4652:               * if in the model but excluded because missing values*/
1.126     brouard  4653: }
                   4654: 
1.145     brouard  4655: 
1.126     brouard  4656: /*********** Health Expectancies ****************/
                   4657: 
1.127     brouard  4658: 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  4659: 
                   4660: {
                   4661:   /* Health expectancies, no variances */
1.164     brouard  4662:   int i, j, nhstepm, hstepm, h, nstepm;
1.126     brouard  4663:   int nhstepma, nstepma; /* Decreasing with age */
                   4664:   double age, agelim, hf;
                   4665:   double ***p3mat;
                   4666:   double eip;
                   4667: 
                   4668:   pstamp(ficreseij);
                   4669:   fprintf(ficreseij,"# (a) Life expectancies by health status at initial age and (b) health expectancies by health status at initial age\n");
                   4670:   fprintf(ficreseij,"# Age");
                   4671:   for(i=1; i<=nlstate;i++){
                   4672:     for(j=1; j<=nlstate;j++){
                   4673:       fprintf(ficreseij," e%1d%1d ",i,j);
                   4674:     }
                   4675:     fprintf(ficreseij," e%1d. ",i);
                   4676:   }
                   4677:   fprintf(ficreseij,"\n");
                   4678: 
                   4679:   
                   4680:   if(estepm < stepm){
                   4681:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   4682:   }
                   4683:   else  hstepm=estepm;   
                   4684:   /* We compute the life expectancy from trapezoids spaced every estepm months
                   4685:    * This is mainly to measure the difference between two models: for example
                   4686:    * if stepm=24 months pijx are given only every 2 years and by summing them
                   4687:    * we are calculating an estimate of the Life Expectancy assuming a linear 
                   4688:    * progression in between and thus overestimating or underestimating according
                   4689:    * to the curvature of the survival function. If, for the same date, we 
                   4690:    * estimate the model with stepm=1 month, we can keep estepm to 24 months
                   4691:    * to compare the new estimate of Life expectancy with the same linear 
                   4692:    * hypothesis. A more precise result, taking into account a more precise
                   4693:    * curvature will be obtained if estepm is as small as stepm. */
                   4694: 
                   4695:   /* For example we decided to compute the life expectancy with the smallest unit */
                   4696:   /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
                   4697:      nhstepm is the number of hstepm from age to agelim 
                   4698:      nstepm is the number of stepm from age to agelin. 
                   4699:      Look at hpijx to understand the reason of that which relies in memory size
                   4700:      and note for a fixed period like estepm months */
                   4701:   /* We decided (b) to get a life expectancy respecting the most precise curvature of the
                   4702:      survival function given by stepm (the optimization length). Unfortunately it
                   4703:      means that if the survival funtion is printed only each two years of age and if
                   4704:      you sum them up and add 1 year (area under the trapezoids) you won't get the same 
                   4705:      results. So we changed our mind and took the option of the best precision.
                   4706:   */
                   4707:   hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
                   4708: 
                   4709:   agelim=AGESUP;
                   4710:   /* If stepm=6 months */
                   4711:     /* Computed by stepm unit matrices, product of hstepm matrices, stored
                   4712:        in an array of nhstepm length: nhstepm=10, hstepm=4, stepm=6 months */
                   4713:     
                   4714: /* nhstepm age range expressed in number of stepm */
                   4715:   nstepm=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
                   4716:   /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   4717:   /* if (stepm >= YEARM) hstepm=1;*/
                   4718:   nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
                   4719:   p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   4720: 
                   4721:   for (age=bage; age<=fage; age ++){ 
                   4722:     nstepma=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
                   4723:     /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   4724:     /* if (stepm >= YEARM) hstepm=1;*/
                   4725:     nhstepma = nstepma/hstepm;/* Expressed in hstepm, typically nhstepma=40/4=10 */
                   4726: 
                   4727:     /* If stepm=6 months */
                   4728:     /* Computed by stepm unit matrices, product of hstepma matrices, stored
                   4729:        in an array of nhstepma length: nhstepma=10, hstepm=4, stepm=6 months */
                   4730:     
                   4731:     hpxij(p3mat,nhstepma,age,hstepm,x,nlstate,stepm,oldm, savm, cij);  
                   4732:     
                   4733:     hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
                   4734:     
                   4735:     printf("%d|",(int)age);fflush(stdout);
                   4736:     fprintf(ficlog,"%d|",(int)age);fflush(ficlog);
                   4737:     
                   4738:     /* Computing expectancies */
                   4739:     for(i=1; i<=nlstate;i++)
                   4740:       for(j=1; j<=nlstate;j++)
                   4741:        for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){
                   4742:          eij[i][j][(int)age] += (p3mat[i][j][h]+p3mat[i][j][h+1])/2.0*hf;
                   4743:          
                   4744:          /* 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]);*/
                   4745: 
                   4746:        }
                   4747: 
                   4748:     fprintf(ficreseij,"%3.0f",age );
                   4749:     for(i=1; i<=nlstate;i++){
                   4750:       eip=0;
                   4751:       for(j=1; j<=nlstate;j++){
                   4752:        eip +=eij[i][j][(int)age];
                   4753:        fprintf(ficreseij,"%9.4f", eij[i][j][(int)age] );
                   4754:       }
                   4755:       fprintf(ficreseij,"%9.4f", eip );
                   4756:     }
                   4757:     fprintf(ficreseij,"\n");
                   4758:     
                   4759:   }
                   4760:   free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   4761:   printf("\n");
                   4762:   fprintf(ficlog,"\n");
                   4763:   
                   4764: }
                   4765: 
1.127     brouard  4766: 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  4767: 
                   4768: {
                   4769:   /* Covariances of health expectancies eij and of total life expectancies according
1.222     brouard  4770:      to initial status i, ei. .
1.126     brouard  4771:   */
                   4772:   int i, j, nhstepm, hstepm, h, nstepm, k, cptj, cptj2, i2, j2, ij, ji;
                   4773:   int nhstepma, nstepma; /* Decreasing with age */
                   4774:   double age, agelim, hf;
                   4775:   double ***p3matp, ***p3matm, ***varhe;
                   4776:   double **dnewm,**doldm;
                   4777:   double *xp, *xm;
                   4778:   double **gp, **gm;
                   4779:   double ***gradg, ***trgradg;
                   4780:   int theta;
                   4781: 
                   4782:   double eip, vip;
                   4783: 
                   4784:   varhe=ma3x(1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int) fage);
                   4785:   xp=vector(1,npar);
                   4786:   xm=vector(1,npar);
                   4787:   dnewm=matrix(1,nlstate*nlstate,1,npar);
                   4788:   doldm=matrix(1,nlstate*nlstate,1,nlstate*nlstate);
                   4789:   
                   4790:   pstamp(ficresstdeij);
                   4791:   fprintf(ficresstdeij,"# Health expectancies with standard errors\n");
                   4792:   fprintf(ficresstdeij,"# Age");
                   4793:   for(i=1; i<=nlstate;i++){
                   4794:     for(j=1; j<=nlstate;j++)
                   4795:       fprintf(ficresstdeij," e%1d%1d (SE)",i,j);
                   4796:     fprintf(ficresstdeij," e%1d. ",i);
                   4797:   }
                   4798:   fprintf(ficresstdeij,"\n");
                   4799: 
                   4800:   pstamp(ficrescveij);
                   4801:   fprintf(ficrescveij,"# Subdiagonal matrix of covariances of health expectancies by age: cov(eij,ekl)\n");
                   4802:   fprintf(ficrescveij,"# Age");
                   4803:   for(i=1; i<=nlstate;i++)
                   4804:     for(j=1; j<=nlstate;j++){
                   4805:       cptj= (j-1)*nlstate+i;
                   4806:       for(i2=1; i2<=nlstate;i2++)
                   4807:        for(j2=1; j2<=nlstate;j2++){
                   4808:          cptj2= (j2-1)*nlstate+i2;
                   4809:          if(cptj2 <= cptj)
                   4810:            fprintf(ficrescveij,"  %1d%1d,%1d%1d",i,j,i2,j2);
                   4811:        }
                   4812:     }
                   4813:   fprintf(ficrescveij,"\n");
                   4814:   
                   4815:   if(estepm < stepm){
                   4816:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   4817:   }
                   4818:   else  hstepm=estepm;   
                   4819:   /* We compute the life expectancy from trapezoids spaced every estepm months
                   4820:    * This is mainly to measure the difference between two models: for example
                   4821:    * if stepm=24 months pijx are given only every 2 years and by summing them
                   4822:    * we are calculating an estimate of the Life Expectancy assuming a linear 
                   4823:    * progression in between and thus overestimating or underestimating according
                   4824:    * to the curvature of the survival function. If, for the same date, we 
                   4825:    * estimate the model with stepm=1 month, we can keep estepm to 24 months
                   4826:    * to compare the new estimate of Life expectancy with the same linear 
                   4827:    * hypothesis. A more precise result, taking into account a more precise
                   4828:    * curvature will be obtained if estepm is as small as stepm. */
                   4829: 
                   4830:   /* For example we decided to compute the life expectancy with the smallest unit */
                   4831:   /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
                   4832:      nhstepm is the number of hstepm from age to agelim 
                   4833:      nstepm is the number of stepm from age to agelin. 
                   4834:      Look at hpijx to understand the reason of that which relies in memory size
                   4835:      and note for a fixed period like estepm months */
                   4836:   /* We decided (b) to get a life expectancy respecting the most precise curvature of the
                   4837:      survival function given by stepm (the optimization length). Unfortunately it
                   4838:      means that if the survival funtion is printed only each two years of age and if
                   4839:      you sum them up and add 1 year (area under the trapezoids) you won't get the same 
                   4840:      results. So we changed our mind and took the option of the best precision.
                   4841:   */
                   4842:   hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
                   4843: 
                   4844:   /* If stepm=6 months */
                   4845:   /* nhstepm age range expressed in number of stepm */
                   4846:   agelim=AGESUP;
                   4847:   nstepm=(int) rint((agelim-bage)*YEARM/stepm); 
                   4848:   /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   4849:   /* if (stepm >= YEARM) hstepm=1;*/
                   4850:   nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
                   4851:   
                   4852:   p3matp=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   4853:   p3matm=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   4854:   gradg=ma3x(0,nhstepm,1,npar,1,nlstate*nlstate);
                   4855:   trgradg =ma3x(0,nhstepm,1,nlstate*nlstate,1,npar);
                   4856:   gp=matrix(0,nhstepm,1,nlstate*nlstate);
                   4857:   gm=matrix(0,nhstepm,1,nlstate*nlstate);
                   4858: 
                   4859:   for (age=bage; age<=fage; age ++){ 
                   4860:     nstepma=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
                   4861:     /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   4862:     /* if (stepm >= YEARM) hstepm=1;*/
                   4863:     nhstepma = nstepma/hstepm;/* Expressed in hstepm, typically nhstepma=40/4=10 */
1.218     brouard  4864:                
1.126     brouard  4865:     /* If stepm=6 months */
                   4866:     /* Computed by stepm unit matrices, product of hstepma matrices, stored
                   4867:        in an array of nhstepma length: nhstepma=10, hstepm=4, stepm=6 months */
                   4868:     
                   4869:     hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
1.218     brouard  4870:                
1.126     brouard  4871:     /* Computing  Variances of health expectancies */
                   4872:     /* Gradient is computed with plus gp and minus gm. Code is duplicated in order to
                   4873:        decrease memory allocation */
                   4874:     for(theta=1; theta <=npar; theta++){
                   4875:       for(i=1; i<=npar; i++){ 
1.222     brouard  4876:        xp[i] = x[i] + (i==theta ?delti[theta]:0);
                   4877:        xm[i] = x[i] - (i==theta ?delti[theta]:0);
1.126     brouard  4878:       }
                   4879:       hpxij(p3matp,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, cij);  
                   4880:       hpxij(p3matm,nhstepm,age,hstepm,xm,nlstate,stepm,oldm,savm, cij);  
1.218     brouard  4881:                        
1.126     brouard  4882:       for(j=1; j<= nlstate; j++){
1.222     brouard  4883:        for(i=1; i<=nlstate; i++){
                   4884:          for(h=0; h<=nhstepm-1; h++){
                   4885:            gp[h][(j-1)*nlstate + i] = (p3matp[i][j][h]+p3matp[i][j][h+1])/2.;
                   4886:            gm[h][(j-1)*nlstate + i] = (p3matm[i][j][h]+p3matm[i][j][h+1])/2.;
                   4887:          }
                   4888:        }
1.126     brouard  4889:       }
1.218     brouard  4890:                        
1.126     brouard  4891:       for(ij=1; ij<= nlstate*nlstate; ij++)
1.222     brouard  4892:        for(h=0; h<=nhstepm-1; h++){
                   4893:          gradg[h][theta][ij]= (gp[h][ij]-gm[h][ij])/2./delti[theta];
                   4894:        }
1.126     brouard  4895:     }/* End theta */
                   4896:     
                   4897:     
                   4898:     for(h=0; h<=nhstepm-1; h++)
                   4899:       for(j=1; j<=nlstate*nlstate;j++)
1.222     brouard  4900:        for(theta=1; theta <=npar; theta++)
                   4901:          trgradg[h][j][theta]=gradg[h][theta][j];
1.126     brouard  4902:     
1.218     brouard  4903:                
1.222     brouard  4904:     for(ij=1;ij<=nlstate*nlstate;ij++)
1.126     brouard  4905:       for(ji=1;ji<=nlstate*nlstate;ji++)
1.222     brouard  4906:        varhe[ij][ji][(int)age] =0.;
1.218     brouard  4907:                
1.222     brouard  4908:     printf("%d|",(int)age);fflush(stdout);
                   4909:     fprintf(ficlog,"%d|",(int)age);fflush(ficlog);
                   4910:     for(h=0;h<=nhstepm-1;h++){
1.126     brouard  4911:       for(k=0;k<=nhstepm-1;k++){
1.222     brouard  4912:        matprod2(dnewm,trgradg[h],1,nlstate*nlstate,1,npar,1,npar,matcov);
                   4913:        matprod2(doldm,dnewm,1,nlstate*nlstate,1,npar,1,nlstate*nlstate,gradg[k]);
                   4914:        for(ij=1;ij<=nlstate*nlstate;ij++)
                   4915:          for(ji=1;ji<=nlstate*nlstate;ji++)
                   4916:            varhe[ij][ji][(int)age] += doldm[ij][ji]*hf*hf;
1.126     brouard  4917:       }
                   4918:     }
1.218     brouard  4919:                
1.126     brouard  4920:     /* Computing expectancies */
                   4921:     hpxij(p3matm,nhstepm,age,hstepm,x,nlstate,stepm,oldm, savm, cij);  
                   4922:     for(i=1; i<=nlstate;i++)
                   4923:       for(j=1; j<=nlstate;j++)
1.222     brouard  4924:        for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){
                   4925:          eij[i][j][(int)age] += (p3matm[i][j][h]+p3matm[i][j][h+1])/2.0*hf;
1.218     brouard  4926:                                        
1.222     brouard  4927:          /* 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  4928:                                        
1.222     brouard  4929:        }
1.218     brouard  4930:                
1.126     brouard  4931:     fprintf(ficresstdeij,"%3.0f",age );
                   4932:     for(i=1; i<=nlstate;i++){
                   4933:       eip=0.;
                   4934:       vip=0.;
                   4935:       for(j=1; j<=nlstate;j++){
1.222     brouard  4936:        eip += eij[i][j][(int)age];
                   4937:        for(k=1; k<=nlstate;k++) /* Sum on j and k of cov(eij,eik) */
                   4938:          vip += varhe[(j-1)*nlstate+i][(k-1)*nlstate+i][(int)age];
                   4939:        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  4940:       }
                   4941:       fprintf(ficresstdeij," %9.4f (%.4f)", eip, sqrt(vip));
                   4942:     }
                   4943:     fprintf(ficresstdeij,"\n");
1.218     brouard  4944:                
1.126     brouard  4945:     fprintf(ficrescveij,"%3.0f",age );
                   4946:     for(i=1; i<=nlstate;i++)
                   4947:       for(j=1; j<=nlstate;j++){
1.222     brouard  4948:        cptj= (j-1)*nlstate+i;
                   4949:        for(i2=1; i2<=nlstate;i2++)
                   4950:          for(j2=1; j2<=nlstate;j2++){
                   4951:            cptj2= (j2-1)*nlstate+i2;
                   4952:            if(cptj2 <= cptj)
                   4953:              fprintf(ficrescveij," %.4f", varhe[cptj][cptj2][(int)age]);
                   4954:          }
1.126     brouard  4955:       }
                   4956:     fprintf(ficrescveij,"\n");
1.218     brouard  4957:                
1.126     brouard  4958:   }
                   4959:   free_matrix(gm,0,nhstepm,1,nlstate*nlstate);
                   4960:   free_matrix(gp,0,nhstepm,1,nlstate*nlstate);
                   4961:   free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate*nlstate);
                   4962:   free_ma3x(trgradg,0,nhstepm,1,nlstate*nlstate,1,npar);
                   4963:   free_ma3x(p3matm,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   4964:   free_ma3x(p3matp,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   4965:   printf("\n");
                   4966:   fprintf(ficlog,"\n");
1.218     brouard  4967:        
1.126     brouard  4968:   free_vector(xm,1,npar);
                   4969:   free_vector(xp,1,npar);
                   4970:   free_matrix(dnewm,1,nlstate*nlstate,1,npar);
                   4971:   free_matrix(doldm,1,nlstate*nlstate,1,nlstate*nlstate);
                   4972:   free_ma3x(varhe,1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int)fage);
                   4973: }
1.218     brouard  4974:  
1.126     brouard  4975: /************ Variance ******************/
1.209     brouard  4976:  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  4977:  {
                   4978:    /* Variance of health expectancies */
                   4979:    /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);*/
                   4980:    /* double **newm;*/
                   4981:    /* int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav)*/
                   4982:   
                   4983:    /* int movingaverage(); */
                   4984:    double **dnewm,**doldm;
                   4985:    double **dnewmp,**doldmp;
                   4986:    int i, j, nhstepm, hstepm, h, nstepm ;
                   4987:    int k;
                   4988:    double *xp;
                   4989:    double **gp, **gm;  /* for var eij */
                   4990:    double ***gradg, ***trgradg; /*for var eij */
                   4991:    double **gradgp, **trgradgp; /* for var p point j */
                   4992:    double *gpp, *gmp; /* for var p point j */
                   4993:    double **varppt; /* for var p point j nlstate to nlstate+ndeath */
                   4994:    double ***p3mat;
                   4995:    double age,agelim, hf;
                   4996:    /* double ***mobaverage; */
                   4997:    int theta;
                   4998:    char digit[4];
                   4999:    char digitp[25];
                   5000: 
                   5001:    char fileresprobmorprev[FILENAMELENGTH];
                   5002: 
                   5003:    if(popbased==1){
                   5004:      if(mobilav!=0)
                   5005:        strcpy(digitp,"-POPULBASED-MOBILAV_");
                   5006:      else strcpy(digitp,"-POPULBASED-NOMOBIL_");
                   5007:    }
                   5008:    else 
                   5009:      strcpy(digitp,"-STABLBASED_");
1.126     brouard  5010: 
1.218     brouard  5011:    /* if (mobilav!=0) { */
                   5012:    /*   mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   5013:    /*   if (movingaverage(probs, bage, fage, mobaverage,mobilav)!=0){ */
                   5014:    /*     fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav); */
                   5015:    /*     printf(" Error in movingaverage mobilav=%d\n",mobilav); */
                   5016:    /*   } */
                   5017:    /* } */
                   5018: 
                   5019:    strcpy(fileresprobmorprev,"PRMORPREV-"); 
                   5020:    sprintf(digit,"%-d",ij);
                   5021:    /*printf("DIGIT=%s, ij=%d ijr=%-d|\n",digit, ij,ij);*/
                   5022:    strcat(fileresprobmorprev,digit); /* Tvar to be done */
                   5023:    strcat(fileresprobmorprev,digitp); /* Popbased or not, mobilav or not */
                   5024:    strcat(fileresprobmorprev,fileresu);
                   5025:    if((ficresprobmorprev=fopen(fileresprobmorprev,"w"))==NULL) {
                   5026:      printf("Problem with resultfile: %s\n", fileresprobmorprev);
                   5027:      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobmorprev);
                   5028:    }
                   5029:    printf("Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
                   5030:    fprintf(ficlog,"Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
                   5031:    pstamp(ficresprobmorprev);
                   5032:    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);
                   5033:    fprintf(ficresprobmorprev,"# Age cov=%-d",ij);
                   5034:    for(j=nlstate+1; j<=(nlstate+ndeath);j++){
                   5035:      fprintf(ficresprobmorprev," p.%-d SE",j);
                   5036:      for(i=1; i<=nlstate;i++)
                   5037:        fprintf(ficresprobmorprev," w%1d p%-d%-d",i,i,j);
                   5038:    }  
                   5039:    fprintf(ficresprobmorprev,"\n");
                   5040:   
                   5041:    fprintf(ficgp,"\n# Routine varevsij");
                   5042:    fprintf(ficgp,"\nunset title \n");
                   5043:    /* fprintf(fichtm, "#Local time at start: %s", strstart);*/
                   5044:    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");
                   5045:    fprintf(fichtm,"\n<br>%s  <br>\n",digitp);
                   5046:    /*   } */
                   5047:    varppt = matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   5048:    pstamp(ficresvij);
                   5049:    fprintf(ficresvij,"# Variance and covariance of health expectancies e.j \n#  (weighted average of eij where weights are ");
                   5050:    if(popbased==1)
                   5051:      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);
                   5052:    else
                   5053:      fprintf(ficresvij,"the age specific period (stable) prevalences in each health state \n");
                   5054:    fprintf(ficresvij,"# Age");
                   5055:    for(i=1; i<=nlstate;i++)
                   5056:      for(j=1; j<=nlstate;j++)
                   5057:        fprintf(ficresvij," Cov(e.%1d, e.%1d)",i,j);
                   5058:    fprintf(ficresvij,"\n");
                   5059: 
                   5060:    xp=vector(1,npar);
                   5061:    dnewm=matrix(1,nlstate,1,npar);
                   5062:    doldm=matrix(1,nlstate,1,nlstate);
                   5063:    dnewmp= matrix(nlstate+1,nlstate+ndeath,1,npar);
                   5064:    doldmp= matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   5065: 
                   5066:    gradgp=matrix(1,npar,nlstate+1,nlstate+ndeath);
                   5067:    gpp=vector(nlstate+1,nlstate+ndeath);
                   5068:    gmp=vector(nlstate+1,nlstate+ndeath);
                   5069:    trgradgp =matrix(nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
1.126     brouard  5070:   
1.218     brouard  5071:    if(estepm < stepm){
                   5072:      printf ("Problem %d lower than %d\n",estepm, stepm);
                   5073:    }
                   5074:    else  hstepm=estepm;   
                   5075:    /* For example we decided to compute the life expectancy with the smallest unit */
                   5076:    /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
                   5077:       nhstepm is the number of hstepm from age to agelim 
                   5078:       nstepm is the number of stepm from age to agelim. 
                   5079:       Look at function hpijx to understand why because of memory size limitations, 
                   5080:       we decided (b) to get a life expectancy respecting the most precise curvature of the
                   5081:       survival function given by stepm (the optimization length). Unfortunately it
                   5082:       means that if the survival funtion is printed every two years of age and if
                   5083:       you sum them up and add 1 year (area under the trapezoids) you won't get the same 
                   5084:       results. So we changed our mind and took the option of the best precision.
                   5085:    */
                   5086:    hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
                   5087:    agelim = AGESUP;
                   5088:    for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
                   5089:      nstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
                   5090:      nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
                   5091:      p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5092:      gradg=ma3x(0,nhstepm,1,npar,1,nlstate);
                   5093:      gp=matrix(0,nhstepm,1,nlstate);
                   5094:      gm=matrix(0,nhstepm,1,nlstate);
                   5095:                
                   5096:                
                   5097:      for(theta=1; theta <=npar; theta++){
                   5098:        for(i=1; i<=npar; i++){ /* Computes gradient x + delta*/
                   5099:         xp[i] = x[i] + (i==theta ?delti[theta]:0);
                   5100:        }
                   5101:                        
                   5102:        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij);
                   5103:                        
                   5104:        if (popbased==1) {
                   5105:         if(mobilav ==0){
                   5106:           for(i=1; i<=nlstate;i++)
                   5107:             prlim[i][i]=probs[(int)age][i][ij];
                   5108:         }else{ /* mobilav */ 
                   5109:           for(i=1; i<=nlstate;i++)
                   5110:             prlim[i][i]=mobaverage[(int)age][i][ij];
                   5111:         }
                   5112:        }
                   5113:                        
                   5114:        hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);  /* Returns p3mat[i][j][h] for h=1 to nhstepm */
                   5115:        for(j=1; j<= nlstate; j++){
                   5116:         for(h=0; h<=nhstepm; h++){
                   5117:           for(i=1, gp[h][j]=0.;i<=nlstate;i++)
                   5118:             gp[h][j] += prlim[i][i]*p3mat[i][j][h];
                   5119:         }
                   5120:        }
                   5121:        /* Next for computing probability of death (h=1 means
                   5122:          computed over hstepm matrices product = hstepm*stepm months) 
                   5123:          as a weighted average of prlim.
                   5124:        */
                   5125:        for(j=nlstate+1;j<=nlstate+ndeath;j++){
                   5126:         for(i=1,gpp[j]=0.; i<= nlstate; i++)
                   5127:           gpp[j] += prlim[i][i]*p3mat[i][j][1];
                   5128:        }    
                   5129:        /* end probability of death */
                   5130:                        
                   5131:        for(i=1; i<=npar; i++) /* Computes gradient x - delta */
                   5132:         xp[i] = x[i] - (i==theta ?delti[theta]:0);
                   5133:                        
                   5134:        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp, ij);
                   5135:                        
                   5136:        if (popbased==1) {
                   5137:         if(mobilav ==0){
                   5138:           for(i=1; i<=nlstate;i++)
                   5139:             prlim[i][i]=probs[(int)age][i][ij];
                   5140:         }else{ /* mobilav */ 
                   5141:           for(i=1; i<=nlstate;i++)
                   5142:             prlim[i][i]=mobaverage[(int)age][i][ij];
                   5143:         }
                   5144:        }
                   5145:                        
                   5146:        hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);  
                   5147:                        
                   5148:        for(j=1; j<= nlstate; j++){  /* Sum of wi * eij = e.j */
                   5149:         for(h=0; h<=nhstepm; h++){
                   5150:           for(i=1, gm[h][j]=0.;i<=nlstate;i++)
                   5151:             gm[h][j] += prlim[i][i]*p3mat[i][j][h];
                   5152:         }
                   5153:        }
                   5154:        /* This for computing probability of death (h=1 means
                   5155:          computed over hstepm matrices product = hstepm*stepm months) 
                   5156:          as a weighted average of prlim.
                   5157:        */
                   5158:        for(j=nlstate+1;j<=nlstate+ndeath;j++){
                   5159:         for(i=1,gmp[j]=0.; i<= nlstate; i++)
                   5160:           gmp[j] += prlim[i][i]*p3mat[i][j][1];
                   5161:        }    
                   5162:        /* end probability of death */
                   5163:                        
                   5164:        for(j=1; j<= nlstate; j++) /* vareij */
                   5165:         for(h=0; h<=nhstepm; h++){
                   5166:           gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta];
                   5167:         }
                   5168:                        
                   5169:        for(j=nlstate+1; j<= nlstate+ndeath; j++){ /* var mu */
                   5170:         gradgp[theta][j]= (gpp[j]-gmp[j])/2./delti[theta];
                   5171:        }
                   5172:                        
                   5173:      } /* End theta */
                   5174:                
                   5175:      trgradg =ma3x(0,nhstepm,1,nlstate,1,npar); /* veij */
                   5176:                
                   5177:      for(h=0; h<=nhstepm; h++) /* veij */
                   5178:        for(j=1; j<=nlstate;j++)
                   5179:         for(theta=1; theta <=npar; theta++)
                   5180:           trgradg[h][j][theta]=gradg[h][theta][j];
                   5181:                
                   5182:      for(j=nlstate+1; j<=nlstate+ndeath;j++) /* mu */
                   5183:        for(theta=1; theta <=npar; theta++)
                   5184:         trgradgp[j][theta]=gradgp[theta][j];
                   5185:                
                   5186:                
                   5187:      hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
                   5188:      for(i=1;i<=nlstate;i++)
                   5189:        for(j=1;j<=nlstate;j++)
                   5190:         vareij[i][j][(int)age] =0.;
                   5191:                
                   5192:      for(h=0;h<=nhstepm;h++){
                   5193:        for(k=0;k<=nhstepm;k++){
                   5194:         matprod2(dnewm,trgradg[h],1,nlstate,1,npar,1,npar,matcov);
                   5195:         matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg[k]);
                   5196:         for(i=1;i<=nlstate;i++)
                   5197:           for(j=1;j<=nlstate;j++)
                   5198:             vareij[i][j][(int)age] += doldm[i][j]*hf*hf;
                   5199:        }
                   5200:      }
                   5201:                
                   5202:      /* pptj */
                   5203:      matprod2(dnewmp,trgradgp,nlstate+1,nlstate+ndeath,1,npar,1,npar,matcov);
                   5204:      matprod2(doldmp,dnewmp,nlstate+1,nlstate+ndeath,1,npar,nlstate+1,nlstate+ndeath,gradgp);
                   5205:      for(j=nlstate+1;j<=nlstate+ndeath;j++)
                   5206:        for(i=nlstate+1;i<=nlstate+ndeath;i++)
                   5207:         varppt[j][i]=doldmp[j][i];
                   5208:      /* end ppptj */
                   5209:      /*  x centered again */
                   5210:                
                   5211:      prevalim(prlim,nlstate,x,age,oldm,savm,ftolpl,ncvyearp,ij);
                   5212:                
                   5213:      if (popbased==1) {
                   5214:        if(mobilav ==0){
                   5215:         for(i=1; i<=nlstate;i++)
                   5216:           prlim[i][i]=probs[(int)age][i][ij];
                   5217:        }else{ /* mobilav */ 
                   5218:         for(i=1; i<=nlstate;i++)
                   5219:           prlim[i][i]=mobaverage[(int)age][i][ij];
                   5220:        }
                   5221:      }
                   5222:                
                   5223:      /* This for computing probability of death (h=1 means
                   5224:        computed over hstepm (estepm) matrices product = hstepm*stepm months) 
                   5225:        as a weighted average of prlim.
                   5226:      */
                   5227:      hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm,savm, ij);  
                   5228:      for(j=nlstate+1;j<=nlstate+ndeath;j++){
                   5229:        for(i=1,gmp[j]=0.;i<= nlstate; i++) 
                   5230:         gmp[j] += prlim[i][i]*p3mat[i][j][1]; 
                   5231:      }    
                   5232:      /* end probability of death */
                   5233:                
                   5234:      fprintf(ficresprobmorprev,"%3d %d ",(int) age, ij);
                   5235:      for(j=nlstate+1; j<=(nlstate+ndeath);j++){
                   5236:        fprintf(ficresprobmorprev," %11.3e %11.3e",gmp[j], sqrt(varppt[j][j]));
                   5237:        for(i=1; i<=nlstate;i++){
                   5238:         fprintf(ficresprobmorprev," %11.3e %11.3e ",prlim[i][i],p3mat[i][j][1]);
                   5239:        }
                   5240:      } 
                   5241:      fprintf(ficresprobmorprev,"\n");
                   5242:                
                   5243:      fprintf(ficresvij,"%.0f ",age );
                   5244:      for(i=1; i<=nlstate;i++)
                   5245:        for(j=1; j<=nlstate;j++){
                   5246:         fprintf(ficresvij," %.4f", vareij[i][j][(int)age]);
                   5247:        }
                   5248:      fprintf(ficresvij,"\n");
                   5249:      free_matrix(gp,0,nhstepm,1,nlstate);
                   5250:      free_matrix(gm,0,nhstepm,1,nlstate);
                   5251:      free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate);
                   5252:      free_ma3x(trgradg,0,nhstepm,1,nlstate,1,npar);
                   5253:      free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5254:    } /* End age */
                   5255:    free_vector(gpp,nlstate+1,nlstate+ndeath);
                   5256:    free_vector(gmp,nlstate+1,nlstate+ndeath);
                   5257:    free_matrix(gradgp,1,npar,nlstate+1,nlstate+ndeath);
                   5258:    free_matrix(trgradgp,nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
                   5259:    /* fprintf(ficgp,"\nunset parametric;unset label; set ter png small size 320, 240"); */
                   5260:    fprintf(ficgp,"\nunset parametric;unset label; set ter svg size 640, 480");
                   5261:    /* for(j=nlstate+1; j<= nlstate+ndeath; j++){ *//* Only the first actually */
                   5262:    fprintf(ficgp,"\n set log y; unset log x;set xlabel \"Age\"; set ylabel \"Force of mortality (year-1)\";");
                   5263:    fprintf(ficgp,"\nset out \"%s%s.svg\";",subdirf3(optionfilefiname,"VARMUPTJGR-",digitp),digit);
                   5264:    /*   fprintf(ficgp,"\n plot \"%s\"  u 1:($3*%6.3f) not w l 1 ",fileresprobmorprev,YEARM/estepm); */
                   5265:    /*   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)*%6.3f) t \"95\%% interval\" w l 2 ",fileresprobmorprev,YEARM/estepm); */
                   5266:    /*   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)*%6.3f) not w l 2 ",fileresprobmorprev,YEARM/estepm); */
                   5267:    fprintf(ficgp,"\n plot \"%s\"  u 1:($3) not w l lt 1 ",subdirf(fileresprobmorprev));
                   5268:    fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)) t \"95%% interval\" w l lt 2 ",subdirf(fileresprobmorprev));
                   5269:    fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)) not w l lt 2 ",subdirf(fileresprobmorprev));
                   5270:    fprintf(fichtm,"\n<br> File (multiple files are possible if covariates are present): <A href=\"%s\">%s</a>\n",subdirf(fileresprobmorprev),subdirf(fileresprobmorprev));
                   5271:    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);
                   5272:    /*  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  5273:     */
1.218     brouard  5274:    /*   fprintf(ficgp,"\nset out \"varmuptjgr%s%s%s.svg\";replot;",digitp,optionfilefiname,digit); */
                   5275:    fprintf(ficgp,"\nset out;\nset out \"%s%s.svg\";replot;set out;\n",subdirf3(optionfilefiname,"VARMUPTJGR-",digitp),digit);
1.126     brouard  5276: 
1.218     brouard  5277:    free_vector(xp,1,npar);
                   5278:    free_matrix(doldm,1,nlstate,1,nlstate);
                   5279:    free_matrix(dnewm,1,nlstate,1,npar);
                   5280:    free_matrix(doldmp,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   5281:    free_matrix(dnewmp,nlstate+1,nlstate+ndeath,1,npar);
                   5282:    free_matrix(varppt,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   5283:    /* if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   5284:    fclose(ficresprobmorprev);
                   5285:    fflush(ficgp);
                   5286:    fflush(fichtm); 
                   5287:  }  /* end varevsij */
1.126     brouard  5288: 
                   5289: /************ Variance of prevlim ******************/
1.209     brouard  5290:  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  5291: {
1.205     brouard  5292:   /* Variance of prevalence limit  for each state ij using current parameters x[] and estimates of neighbourhood give by delti*/
1.126     brouard  5293:   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double **savm,double ftolpl);*/
1.164     brouard  5294: 
1.126     brouard  5295:   double **dnewm,**doldm;
                   5296:   int i, j, nhstepm, hstepm;
                   5297:   double *xp;
                   5298:   double *gp, *gm;
                   5299:   double **gradg, **trgradg;
1.208     brouard  5300:   double **mgm, **mgp;
1.126     brouard  5301:   double age,agelim;
                   5302:   int theta;
                   5303:   
                   5304:   pstamp(ficresvpl);
                   5305:   fprintf(ficresvpl,"# Standard deviation of period (stable) prevalences \n");
                   5306:   fprintf(ficresvpl,"# Age");
                   5307:   for(i=1; i<=nlstate;i++)
                   5308:       fprintf(ficresvpl," %1d-%1d",i,i);
                   5309:   fprintf(ficresvpl,"\n");
                   5310: 
                   5311:   xp=vector(1,npar);
                   5312:   dnewm=matrix(1,nlstate,1,npar);
                   5313:   doldm=matrix(1,nlstate,1,nlstate);
                   5314:   
                   5315:   hstepm=1*YEARM; /* Every year of age */
                   5316:   hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */ 
                   5317:   agelim = AGESUP;
                   5318:   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
                   5319:     nhstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
                   5320:     if (stepm >= YEARM) hstepm=1;
                   5321:     nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
                   5322:     gradg=matrix(1,npar,1,nlstate);
1.208     brouard  5323:     mgp=matrix(1,npar,1,nlstate);
                   5324:     mgm=matrix(1,npar,1,nlstate);
1.126     brouard  5325:     gp=vector(1,nlstate);
                   5326:     gm=vector(1,nlstate);
                   5327: 
                   5328:     for(theta=1; theta <=npar; theta++){
                   5329:       for(i=1; i<=npar; i++){ /* Computes gradient */
                   5330:        xp[i] = x[i] + (i==theta ?delti[theta]:0);
                   5331:       }
1.209     brouard  5332:       if((int)age==79 ||(int)age== 80 ||(int)age== 81 )
                   5333:        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij);
                   5334:       else
                   5335:        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij);
1.208     brouard  5336:       for(i=1;i<=nlstate;i++){
1.126     brouard  5337:        gp[i] = prlim[i][i];
1.208     brouard  5338:        mgp[theta][i] = prlim[i][i];
                   5339:       }
1.126     brouard  5340:       for(i=1; i<=npar; i++) /* Computes gradient */
                   5341:        xp[i] = x[i] - (i==theta ?delti[theta]:0);
1.209     brouard  5342:       if((int)age==79 ||(int)age== 80 ||(int)age== 81 )
                   5343:        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij);
                   5344:       else
                   5345:        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij);
1.208     brouard  5346:       for(i=1;i<=nlstate;i++){
1.126     brouard  5347:        gm[i] = prlim[i][i];
1.208     brouard  5348:        mgm[theta][i] = prlim[i][i];
                   5349:       }
1.126     brouard  5350:       for(i=1;i<=nlstate;i++)
                   5351:        gradg[theta][i]= (gp[i]-gm[i])/2./delti[theta];
1.209     brouard  5352:       /* gradg[theta][2]= -gradg[theta][1]; */ /* For testing if nlstate=2 */
1.126     brouard  5353:     } /* End theta */
                   5354: 
                   5355:     trgradg =matrix(1,nlstate,1,npar);
                   5356: 
                   5357:     for(j=1; j<=nlstate;j++)
                   5358:       for(theta=1; theta <=npar; theta++)
                   5359:        trgradg[j][theta]=gradg[theta][j];
1.209     brouard  5360:     /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ){ */
                   5361:     /*   printf("\nmgm mgp %d ",(int)age); */
                   5362:     /*   for(j=1; j<=nlstate;j++){ */
                   5363:     /*         printf(" %d ",j); */
                   5364:     /*         for(theta=1; theta <=npar; theta++) */
                   5365:     /*           printf(" %d %lf %lf",theta,mgm[theta][j],mgp[theta][j]); */
                   5366:     /*         printf("\n "); */
                   5367:     /*   } */
                   5368:     /* } */
                   5369:     /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ){ */
                   5370:     /*   printf("\n gradg %d ",(int)age); */
                   5371:     /*   for(j=1; j<=nlstate;j++){ */
                   5372:     /*         printf("%d ",j); */
                   5373:     /*         for(theta=1; theta <=npar; theta++) */
                   5374:     /*           printf("%d %lf ",theta,gradg[theta][j]); */
                   5375:     /*         printf("\n "); */
                   5376:     /*   } */
                   5377:     /* } */
1.126     brouard  5378: 
                   5379:     for(i=1;i<=nlstate;i++)
                   5380:       varpl[i][(int)age] =0.;
1.209     brouard  5381:     if((int)age==79 ||(int)age== 80  ||(int)age== 81){
1.205     brouard  5382:     matprod2(dnewm,trgradg,1,nlstate,1,npar,1,npar,matcov);
                   5383:     matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg);
                   5384:     }else{
1.126     brouard  5385:     matprod2(dnewm,trgradg,1,nlstate,1,npar,1,npar,matcov);
                   5386:     matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg);
1.205     brouard  5387:     }
1.126     brouard  5388:     for(i=1;i<=nlstate;i++)
                   5389:       varpl[i][(int)age] = doldm[i][i]; /* Covariances are useless */
                   5390: 
                   5391:     fprintf(ficresvpl,"%.0f ",age );
                   5392:     for(i=1; i<=nlstate;i++)
                   5393:       fprintf(ficresvpl," %.5f (%.5f)",prlim[i][i],sqrt(varpl[i][(int)age]));
                   5394:     fprintf(ficresvpl,"\n");
                   5395:     free_vector(gp,1,nlstate);
                   5396:     free_vector(gm,1,nlstate);
1.208     brouard  5397:     free_matrix(mgm,1,npar,1,nlstate);
                   5398:     free_matrix(mgp,1,npar,1,nlstate);
1.126     brouard  5399:     free_matrix(gradg,1,npar,1,nlstate);
                   5400:     free_matrix(trgradg,1,nlstate,1,npar);
                   5401:   } /* End age */
                   5402: 
                   5403:   free_vector(xp,1,npar);
                   5404:   free_matrix(doldm,1,nlstate,1,npar);
                   5405:   free_matrix(dnewm,1,nlstate,1,nlstate);
                   5406: 
                   5407: }
                   5408: 
                   5409: /************ Variance of one-step probabilities  ******************/
                   5410: 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  5411:  {
                   5412:    int i, j=0,  k1, l1, tj;
                   5413:    int k2, l2, j1,  z1;
                   5414:    int k=0, l;
                   5415:    int first=1, first1, first2;
                   5416:    double cv12, mu1, mu2, lc1, lc2, v12, v21, v11, v22,v1,v2, c12, tnalp;
                   5417:    double **dnewm,**doldm;
                   5418:    double *xp;
                   5419:    double *gp, *gm;
                   5420:    double **gradg, **trgradg;
                   5421:    double **mu;
                   5422:    double age, cov[NCOVMAX+1];
                   5423:    double std=2.0; /* Number of standard deviation wide of confidence ellipsoids */
                   5424:    int theta;
                   5425:    char fileresprob[FILENAMELENGTH];
                   5426:    char fileresprobcov[FILENAMELENGTH];
                   5427:    char fileresprobcor[FILENAMELENGTH];
                   5428:    double ***varpij;
                   5429: 
                   5430:    strcpy(fileresprob,"PROB_"); 
                   5431:    strcat(fileresprob,fileres);
                   5432:    if((ficresprob=fopen(fileresprob,"w"))==NULL) {
                   5433:      printf("Problem with resultfile: %s\n", fileresprob);
                   5434:      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprob);
                   5435:    }
                   5436:    strcpy(fileresprobcov,"PROBCOV_"); 
                   5437:    strcat(fileresprobcov,fileresu);
                   5438:    if((ficresprobcov=fopen(fileresprobcov,"w"))==NULL) {
                   5439:      printf("Problem with resultfile: %s\n", fileresprobcov);
                   5440:      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcov);
                   5441:    }
                   5442:    strcpy(fileresprobcor,"PROBCOR_"); 
                   5443:    strcat(fileresprobcor,fileresu);
                   5444:    if((ficresprobcor=fopen(fileresprobcor,"w"))==NULL) {
                   5445:      printf("Problem with resultfile: %s\n", fileresprobcor);
                   5446:      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcor);
                   5447:    }
                   5448:    printf("Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);
                   5449:    fprintf(ficlog,"Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);
                   5450:    printf("Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);
                   5451:    fprintf(ficlog,"Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);
                   5452:    printf("and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);
                   5453:    fprintf(ficlog,"and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);
                   5454:    pstamp(ficresprob);
                   5455:    fprintf(ficresprob,"#One-step probabilities and stand. devi in ()\n");
                   5456:    fprintf(ficresprob,"# Age");
                   5457:    pstamp(ficresprobcov);
                   5458:    fprintf(ficresprobcov,"#One-step probabilities and covariance matrix\n");
                   5459:    fprintf(ficresprobcov,"# Age");
                   5460:    pstamp(ficresprobcor);
                   5461:    fprintf(ficresprobcor,"#One-step probabilities and correlation matrix\n");
                   5462:    fprintf(ficresprobcor,"# Age");
1.126     brouard  5463: 
                   5464: 
1.222     brouard  5465:    for(i=1; i<=nlstate;i++)
                   5466:      for(j=1; j<=(nlstate+ndeath);j++){
                   5467:        fprintf(ficresprob," p%1d-%1d (SE)",i,j);
                   5468:        fprintf(ficresprobcov," p%1d-%1d ",i,j);
                   5469:        fprintf(ficresprobcor," p%1d-%1d ",i,j);
                   5470:      }  
                   5471:    /* fprintf(ficresprob,"\n");
                   5472:       fprintf(ficresprobcov,"\n");
                   5473:       fprintf(ficresprobcor,"\n");
                   5474:    */
                   5475:    xp=vector(1,npar);
                   5476:    dnewm=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);
                   5477:    doldm=matrix(1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath));
                   5478:    mu=matrix(1,(nlstate)*(nlstate+ndeath), (int) bage, (int)fage);
                   5479:    varpij=ma3x(1,nlstate*(nlstate+ndeath),1,nlstate*(nlstate+ndeath),(int) bage, (int) fage);
                   5480:    first=1;
                   5481:    fprintf(ficgp,"\n# Routine varprob");
                   5482:    fprintf(fichtm,"\n<li><h4> Computing and drawing one step probabilities with their confidence intervals</h4></li>\n");
                   5483:    fprintf(fichtm,"\n");
                   5484: 
                   5485:    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);
                   5486:    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);
                   5487:    fprintf(fichtmcov,"\nEllipsoids of confidence centered on point (p<inf>ij</inf>, p<inf>kl</inf>) are estimated \
1.126     brouard  5488: and drawn. It helps understanding how is the covariance between two incidences.\
                   5489:  They are expressed in year<sup>-1</sup> in order to be less dependent of stepm.<br>\n");
1.222     brouard  5490:    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  5491: It can be understood this way: if pij and pkl where uncorrelated the (2x2) matrix of covariance \
                   5492: would have been (1/(var pij), 0 , 0, 1/(var pkl)), and the confidence interval would be 2 \
                   5493: standard deviations wide on each axis. <br>\
                   5494:  Now, if both incidences are correlated (usual case) we diagonalised the inverse of the covariance matrix\
                   5495:  and made the appropriate rotation to look at the uncorrelated principal directions.<br>\
                   5496: To be simple, these graphs help to understand the significativity of each parameter in relation to a second other one.<br> \n");
                   5497: 
1.222     brouard  5498:    cov[1]=1;
                   5499:    /* tj=cptcoveff; */
1.225     brouard  5500:    tj = (int) pow(2,cptcoveff);
1.222     brouard  5501:    if (cptcovn<1) {tj=1;ncodemax[1]=1;}
                   5502:    j1=0;
1.224     brouard  5503:    for(j1=1; j1<=tj;j1++){  /* For each valid combination of covariates or only once*/
1.222     brouard  5504:      if  (cptcovn>0) {
                   5505:        fprintf(ficresprob, "\n#********** Variable "); 
1.225     brouard  5506:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprob, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.222     brouard  5507:        fprintf(ficresprob, "**********\n#\n");
                   5508:        fprintf(ficresprobcov, "\n#********** Variable "); 
1.225     brouard  5509:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcov, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.222     brouard  5510:        fprintf(ficresprobcov, "**********\n#\n");
1.220     brouard  5511:                        
1.222     brouard  5512:        fprintf(ficgp, "\n#********** Variable "); 
1.225     brouard  5513:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficgp, " V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.222     brouard  5514:        fprintf(ficgp, "**********\n#\n");
1.220     brouard  5515:                        
                   5516:                        
1.222     brouard  5517:        fprintf(fichtmcov, "\n<hr  size=\"2\" color=\"#EC5E5E\">********** Variable "); 
1.225     brouard  5518:        for (z1=1; z1<=cptcoveff; z1++) fprintf(fichtm, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.222     brouard  5519:        fprintf(fichtmcov, "**********\n<hr size=\"2\" color=\"#EC5E5E\">");
1.220     brouard  5520:                        
1.222     brouard  5521:        fprintf(ficresprobcor, "\n#********** Variable ");    
1.225     brouard  5522:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcor, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.222     brouard  5523:        fprintf(ficresprobcor, "**********\n#");    
                   5524:        if(invalidvarcomb[j1]){
                   5525:         fprintf(ficgp,"\n#Combination (%d) ignored because no cases \n",j1); 
                   5526:         fprintf(fichtmcov,"\n<h3>Combination (%d) ignored because no cases </h3>\n",j1); 
                   5527:         continue;
                   5528:        }
                   5529:      }
                   5530:      gradg=matrix(1,npar,1,(nlstate)*(nlstate+ndeath));
                   5531:      trgradg=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);
                   5532:      gp=vector(1,(nlstate)*(nlstate+ndeath));
                   5533:      gm=vector(1,(nlstate)*(nlstate+ndeath));
                   5534:      for (age=bage; age<=fage; age ++){ 
                   5535:        cov[2]=age;
                   5536:        if(nagesqr==1)
                   5537:         cov[3]= age*age;
                   5538:        for (k=1; k<=cptcovn;k++) {
                   5539:         cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(j1,k)];
                   5540:         /*cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(j1,Tvar[k])];*//* j1 1 2 3 4
                   5541:                                                                    * 1  1 1 1 1
                   5542:                                                                    * 2  2 1 1 1
                   5543:                                                                    * 3  1 2 1 1
                   5544:                                                                    */
                   5545:         /* nbcode[1][1]=0 nbcode[1][2]=1;*/
                   5546:        }
                   5547:        /* for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
                   5548:        for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
                   5549:        for (k=1; k<=cptcovprod;k++)
                   5550:         cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)]*nbcode[Tvard[k][2]][codtabm(ij,k)];
1.220     brouard  5551:                        
                   5552:                        
1.222     brouard  5553:        for(theta=1; theta <=npar; theta++){
                   5554:         for(i=1; i<=npar; i++)
                   5555:           xp[i] = x[i] + (i==theta ?delti[theta]:(double)0);
1.220     brouard  5556:                                
1.222     brouard  5557:         pmij(pmmij,cov,ncovmodel,xp,nlstate);
1.220     brouard  5558:                                
1.222     brouard  5559:         k=0;
                   5560:         for(i=1; i<= (nlstate); i++){
                   5561:           for(j=1; j<=(nlstate+ndeath);j++){
                   5562:             k=k+1;
                   5563:             gp[k]=pmmij[i][j];
                   5564:           }
                   5565:         }
1.220     brouard  5566:                                
1.222     brouard  5567:         for(i=1; i<=npar; i++)
                   5568:           xp[i] = x[i] - (i==theta ?delti[theta]:(double)0);
1.220     brouard  5569:                                
1.222     brouard  5570:         pmij(pmmij,cov,ncovmodel,xp,nlstate);
                   5571:         k=0;
                   5572:         for(i=1; i<=(nlstate); i++){
                   5573:           for(j=1; j<=(nlstate+ndeath);j++){
                   5574:             k=k+1;
                   5575:             gm[k]=pmmij[i][j];
                   5576:           }
                   5577:         }
1.220     brouard  5578:                                
1.222     brouard  5579:         for(i=1; i<= (nlstate)*(nlstate+ndeath); i++) 
                   5580:           gradg[theta][i]=(gp[i]-gm[i])/(double)2./delti[theta];  
                   5581:        }
1.126     brouard  5582: 
1.222     brouard  5583:        for(j=1; j<=(nlstate)*(nlstate+ndeath);j++)
                   5584:         for(theta=1; theta <=npar; theta++)
                   5585:           trgradg[j][theta]=gradg[theta][j];
1.220     brouard  5586:                        
1.222     brouard  5587:        matprod2(dnewm,trgradg,1,(nlstate)*(nlstate+ndeath),1,npar,1,npar,matcov); 
                   5588:        matprod2(doldm,dnewm,1,(nlstate)*(nlstate+ndeath),1,npar,1,(nlstate)*(nlstate+ndeath),gradg);
1.220     brouard  5589:                        
1.222     brouard  5590:        pmij(pmmij,cov,ncovmodel,x,nlstate);
1.220     brouard  5591:                        
1.222     brouard  5592:        k=0;
                   5593:        for(i=1; i<=(nlstate); i++){
                   5594:         for(j=1; j<=(nlstate+ndeath);j++){
                   5595:           k=k+1;
                   5596:           mu[k][(int) age]=pmmij[i][j];
                   5597:         }
                   5598:        }
                   5599:        for(i=1;i<=(nlstate)*(nlstate+ndeath);i++)
                   5600:         for(j=1;j<=(nlstate)*(nlstate+ndeath);j++)
                   5601:           varpij[i][j][(int)age] = doldm[i][j];
1.220     brouard  5602:                        
1.222     brouard  5603:        /*printf("\n%d ",(int)age);
                   5604:         for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){
                   5605:         printf("%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));
                   5606:         fprintf(ficlog,"%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));
                   5607:         }*/
1.220     brouard  5608:                        
1.222     brouard  5609:        fprintf(ficresprob,"\n%d ",(int)age);
                   5610:        fprintf(ficresprobcov,"\n%d ",(int)age);
                   5611:        fprintf(ficresprobcor,"\n%d ",(int)age);
1.220     brouard  5612:                        
1.222     brouard  5613:        for (i=1; i<=(nlstate)*(nlstate+ndeath);i++)
                   5614:         fprintf(ficresprob,"%11.3e (%11.3e) ",mu[i][(int) age],sqrt(varpij[i][i][(int)age]));
                   5615:        for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){
                   5616:         fprintf(ficresprobcov,"%11.3e ",mu[i][(int) age]);
                   5617:         fprintf(ficresprobcor,"%11.3e ",mu[i][(int) age]);
                   5618:        }
                   5619:        i=0;
                   5620:        for (k=1; k<=(nlstate);k++){
                   5621:         for (l=1; l<=(nlstate+ndeath);l++){ 
                   5622:           i++;
                   5623:           fprintf(ficresprobcov,"\n%d %d-%d",(int)age,k,l);
                   5624:           fprintf(ficresprobcor,"\n%d %d-%d",(int)age,k,l);
                   5625:           for (j=1; j<=i;j++){
                   5626:             /* printf(" k=%d l=%d i=%d j=%d\n",k,l,i,j);fflush(stdout); */
                   5627:             fprintf(ficresprobcov," %11.3e",varpij[i][j][(int)age]);
                   5628:             fprintf(ficresprobcor," %11.3e",varpij[i][j][(int) age]/sqrt(varpij[i][i][(int) age])/sqrt(varpij[j][j][(int)age]));
                   5629:           }
                   5630:         }
                   5631:        }/* end of loop for state */
                   5632:      } /* end of loop for age */
                   5633:      free_vector(gp,1,(nlstate+ndeath)*(nlstate+ndeath));
                   5634:      free_vector(gm,1,(nlstate+ndeath)*(nlstate+ndeath));
                   5635:      free_matrix(trgradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);
                   5636:      free_matrix(gradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);
                   5637:     
                   5638:      /* Confidence intervalle of pij  */
                   5639:      /*
                   5640:        fprintf(ficgp,"\nunset parametric;unset label");
                   5641:        fprintf(ficgp,"\nset log y;unset log x; set xlabel \"Age\";set ylabel \"probability (year-1)\"");
                   5642:        fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65");
                   5643:        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);
                   5644:        fprintf(fichtm,"\n<br><img src=\"pijgr%s.png\"> ",optionfilefiname);
                   5645:        fprintf(ficgp,"\nset out \"pijgr%s.png\"",optionfilefiname);
                   5646:        fprintf(ficgp,"\nplot \"%s\" every :::%d::%d u 1:2 \"\%%lf",k1,k2,xfilevarprob);
                   5647:      */
                   5648:                
                   5649:      /* Drawing ellipsoids of confidence of two variables p(k1-l1,k2-l2)*/
                   5650:      first1=1;first2=2;
                   5651:      for (k2=1; k2<=(nlstate);k2++){
                   5652:        for (l2=1; l2<=(nlstate+ndeath);l2++){ 
                   5653:         if(l2==k2) continue;
                   5654:         j=(k2-1)*(nlstate+ndeath)+l2;
                   5655:         for (k1=1; k1<=(nlstate);k1++){
                   5656:           for (l1=1; l1<=(nlstate+ndeath);l1++){ 
                   5657:             if(l1==k1) continue;
                   5658:             i=(k1-1)*(nlstate+ndeath)+l1;
                   5659:             if(i<=j) continue;
                   5660:             for (age=bage; age<=fage; age ++){ 
                   5661:               if ((int)age %5==0){
                   5662:                 v1=varpij[i][i][(int)age]/stepm*YEARM/stepm*YEARM;
                   5663:                 v2=varpij[j][j][(int)age]/stepm*YEARM/stepm*YEARM;
                   5664:                 cv12=varpij[i][j][(int)age]/stepm*YEARM/stepm*YEARM;
                   5665:                 mu1=mu[i][(int) age]/stepm*YEARM ;
                   5666:                 mu2=mu[j][(int) age]/stepm*YEARM;
                   5667:                 c12=cv12/sqrt(v1*v2);
                   5668:                 /* Computing eigen value of matrix of covariance */
                   5669:                 lc1=((v1+v2)+sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                   5670:                 lc2=((v1+v2)-sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                   5671:                 if ((lc2 <0) || (lc1 <0) ){
                   5672:                   if(first2==1){
                   5673:                     first1=0;
                   5674:                     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);
                   5675:                   }
                   5676:                   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);
                   5677:                   /* lc1=fabs(lc1); */ /* If we want to have them positive */
                   5678:                   /* lc2=fabs(lc2); */
                   5679:                 }
1.220     brouard  5680:                                                                
1.222     brouard  5681:                 /* Eigen vectors */
                   5682:                 v11=(1./sqrt(1+(v1-lc1)*(v1-lc1)/cv12/cv12));
                   5683:                 /*v21=sqrt(1.-v11*v11); *//* error */
                   5684:                 v21=(lc1-v1)/cv12*v11;
                   5685:                 v12=-v21;
                   5686:                 v22=v11;
                   5687:                 tnalp=v21/v11;
                   5688:                 if(first1==1){
                   5689:                   first1=0;
                   5690:                   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);
                   5691:                 }
                   5692:                 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);
                   5693:                 /*printf(fignu*/
                   5694:                 /* mu1+ v11*lc1*cost + v12*lc2*sin(t) */
                   5695:                 /* mu2+ v21*lc1*cost + v22*lc2*sin(t) */
                   5696:                 if(first==1){
                   5697:                   first=0;
                   5698:                   fprintf(ficgp,"\n# Ellipsoids of confidence\n#\n");
                   5699:                   fprintf(ficgp,"\nset parametric;unset label");
                   5700:                   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);
                   5701:                   fprintf(ficgp,"\nset ter svg size 640, 480");
                   5702:                   fprintf(fichtmcov,"\n<br>Ellipsoids of confidence cov(p%1d%1d,p%1d%1d) expressed in year<sup>-1</sup>\
1.220     brouard  5703:  :<a href=\"%s_%d%1d%1d-%1d%1d.svg\">                                                                                                                                          \
1.201     brouard  5704: %s_%d%1d%1d-%1d%1d.svg</A>, ",k1,l1,k2,l2,\
1.222     brouard  5705:                           subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2,      \
                   5706:                           subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
                   5707:                   fprintf(fichtmcov,"\n<br><img src=\"%s_%d%1d%1d-%1d%1d.svg\"> ",subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
                   5708:                   fprintf(fichtmcov,"\n<br> Correlation at age %d (%.3f),",(int) age, c12);
                   5709:                   fprintf(ficgp,"\nset out \"%s_%d%1d%1d-%1d%1d.svg\"",subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
                   5710:                   fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);
                   5711:                   fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);
                   5712:                   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",      \
                   5713:                           mu1,std,v11,sqrt(lc1),v12,sqrt(lc2),                                                                         \
                   5714:                           mu2,std,v21,sqrt(lc1),v22,sqrt(lc2));
                   5715:                 }else{
                   5716:                   first=0;
                   5717:                   fprintf(fichtmcov," %d (%.3f),",(int) age, c12);
                   5718:                   fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);
                   5719:                   fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);
                   5720:                   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", \
                   5721:                           mu1,std,v11,sqrt(lc1),v12,sqrt(lc2),                                 \
                   5722:                           mu2,std,v21,sqrt(lc1),v22,sqrt(lc2));
                   5723:                 }/* if first */
                   5724:               } /* age mod 5 */
                   5725:             } /* end loop age */
                   5726:             fprintf(ficgp,"\nset out;\nset out \"%s_%d%1d%1d-%1d%1d.svg\";replot;set out;",subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2);
                   5727:             first=1;
                   5728:           } /*l12 */
                   5729:         } /* k12 */
                   5730:        } /*l1 */
                   5731:      }/* k1 */
                   5732:    }  /* loop on combination of covariates j1 */
                   5733:    free_ma3x(varpij,1,nlstate,1,nlstate+ndeath,(int) bage, (int)fage);
                   5734:    free_matrix(mu,1,(nlstate+ndeath)*(nlstate+ndeath),(int) bage, (int)fage);
                   5735:    free_matrix(doldm,1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath));
                   5736:    free_matrix(dnewm,1,(nlstate)*(nlstate+ndeath),1,npar);
                   5737:    free_vector(xp,1,npar);
                   5738:    fclose(ficresprob);
                   5739:    fclose(ficresprobcov);
                   5740:    fclose(ficresprobcor);
                   5741:    fflush(ficgp);
                   5742:    fflush(fichtmcov);
                   5743:  }
1.126     brouard  5744: 
                   5745: 
                   5746: /******************* Printing html file ***********/
1.201     brouard  5747: void printinghtml(char fileresu[], char title[], char datafile[], int firstpass, \
1.126     brouard  5748:                  int lastpass, int stepm, int weightopt, char model[],\
                   5749:                  int imx,int jmin, int jmax, double jmeanint,char rfileres[],\
1.217     brouard  5750:                  int popforecast, int prevfcast, int backcast, int estepm , \
1.213     brouard  5751:                  double jprev1, double mprev1,double anprev1, double dateprev1, \
                   5752:                  double jprev2, double mprev2,double anprev2, double dateprev2){
1.126     brouard  5753:   int jj1, k1, i1, cpt;
                   5754: 
                   5755:    fprintf(fichtm,"<ul><li><a href='#firstorder'>Result files (first order: no variance)</a>\n \
                   5756:    <li><a href='#secondorder'>Result files (second order (variance)</a>\n \
                   5757: </ul>");
1.214     brouard  5758:    fprintf(fichtm,"<ul><li><h4><a name='firstorder'>Result files (first order: no variance)</a></h4>\n");
                   5759:    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",
                   5760:           jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,subdirfext3(optionfilefiname,"PHTMFR_",".htm"),subdirfext3(optionfilefiname,"PHTMFR_",".htm"));
                   5761:    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  5762:           jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,subdirfext3(optionfilefiname,"PHTM_",".htm"),subdirfext3(optionfilefiname,"PHTM_",".htm"));
                   5763:    fprintf(fichtm,",  <a href=\"%s\">%s</a> (text file) <br>\n",subdirf2(fileresu,"P_"),subdirf2(fileresu,"P_"));
1.126     brouard  5764:    fprintf(fichtm,"\
                   5765:  - Estimated transition probabilities over %d (stepm) months: <a href=\"%s\">%s</a><br>\n ",
1.201     brouard  5766:           stepm,subdirf2(fileresu,"PIJ_"),subdirf2(fileresu,"PIJ_"));
1.126     brouard  5767:    fprintf(fichtm,"\
1.217     brouard  5768:  - Estimated back transition probabilities over %d (stepm) months: <a href=\"%s\">%s</a><br>\n ",
                   5769:           stepm,subdirf2(fileresu,"PIJB_"),subdirf2(fileresu,"PIJB_"));
                   5770:    fprintf(fichtm,"\
1.126     brouard  5771:  - Period (stable) prevalence in each health state: <a href=\"%s\">%s</a> <br>\n",
1.201     brouard  5772:           subdirf2(fileresu,"PL_"),subdirf2(fileresu,"PL_"));
1.126     brouard  5773:    fprintf(fichtm,"\
1.217     brouard  5774:  - Period (stable) back prevalence in each health state: <a href=\"%s\">%s</a> <br>\n",
                   5775:           subdirf2(fileresu,"PLB_"),subdirf2(fileresu,"PLB_"));
                   5776:    fprintf(fichtm,"\
1.211     brouard  5777:  - (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  5778:    <a href=\"%s\">%s</a> <br>\n",
1.201     brouard  5779:           estepm,subdirf2(fileresu,"E_"),subdirf2(fileresu,"E_"));
1.211     brouard  5780:    if(prevfcast==1){
                   5781:      fprintf(fichtm,"\
                   5782:  - Prevalence projections by age and states:                           \
1.201     brouard  5783:    <a href=\"%s\">%s</a> <br>\n</li>", subdirf2(fileresu,"F_"),subdirf2(fileresu,"F_"));
1.211     brouard  5784:    }
1.126     brouard  5785: 
1.222     brouard  5786:    fprintf(fichtm," \n<ul><li><b>Graphs</b></li><p>");
1.126     brouard  5787: 
1.225     brouard  5788:    m=pow(2,cptcoveff);
1.222     brouard  5789:    if (cptcovn < 1) {m=1;ncodemax[1]=1;}
1.126     brouard  5790: 
1.222     brouard  5791:    jj1=0;
                   5792:    for(k1=1; k1<=m;k1++){
1.220     brouard  5793: 
1.222     brouard  5794:      /* for(i1=1; i1<=ncodemax[k1];i1++){ */
                   5795:      jj1++;
                   5796:      if (cptcovn > 0) {
                   5797:        fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");
1.225     brouard  5798:        for (cpt=1; cpt<=cptcoveff;cpt++){ 
1.222     brouard  5799:         fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]);
                   5800:         printf(" V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]);fflush(stdout);
                   5801:        }
                   5802:        fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");
                   5803:        if(invalidvarcomb[k1]){
                   5804:         fprintf(fichtm,"\n<h3>Combination (%d) ignored because no cases </h3>\n",k1); 
                   5805:         printf("\nCombination (%d) ignored because no cases \n",k1); 
                   5806:         continue;
                   5807:        }
                   5808:      }
                   5809:      /* aij, bij */
                   5810:      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  5811: <img src=\"%s_%d-1.svg\">",model,subdirf2(optionfilefiname,"PE_"),jj1,subdirf2(optionfilefiname,"PE_"),jj1,subdirf2(optionfilefiname,"PE_"),jj1);
1.222     brouard  5812:      /* Pij */
                   5813:      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  5814: <img src=\"%s_%d-2.svg\">",stepm,subdirf2(optionfilefiname,"PE_"),jj1,subdirf2(optionfilefiname,"PE_"),jj1,subdirf2(optionfilefiname,"PE_"),jj1);     
1.222     brouard  5815:      /* Quasi-incidences */
                   5816:      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  5817:  before but expressed in per year i.e. quasi incidences if stepm is small and probabilities too, \
1.211     brouard  5818:  incidence (rates) are the limit when h tends to zero of the ratio of the probability  <sub>h</sub>P<sub>ij</sub> \
                   5819: 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  5820: <img src=\"%s_%d-3.svg\">",stepm,subdirf2(optionfilefiname,"PE_"),jj1,subdirf2(optionfilefiname,"PE_"),jj1,subdirf2(optionfilefiname,"PE_"),jj1); 
1.222     brouard  5821:      /* Survival functions (period) in state j */
                   5822:      for(cpt=1; cpt<=nlstate;cpt++){
                   5823:        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  5824: <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  5825:      }
                   5826:      /* State specific survival functions (period) */
                   5827:      for(cpt=1; cpt<=nlstate;cpt++){
                   5828:        fprintf(fichtm,"<br>\n- Survival functions from state %d in each live state and total.\
1.220     brouard  5829:  Or probability to survive in various states (1 to %d) being in state %d at different ages.    \
1.201     brouard  5830:  <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  5831:      }
                   5832:      /* Period (stable) prevalence in each health state */
                   5833:      for(cpt=1; cpt<=nlstate;cpt++){
                   5834:        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  5835: <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  5836:      }
                   5837:      if(backcast==1){
                   5838:        /* Period (stable) back prevalence in each health state */
                   5839:        for(cpt=1; cpt<=nlstate;cpt++){
                   5840:         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  5841: <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  5842:        }
1.217     brouard  5843:      }
1.222     brouard  5844:      if(prevfcast==1){
                   5845:        /* Projection of prevalence up to period (stable) prevalence in each health state */
                   5846:        for(cpt=1; cpt<=nlstate;cpt++){
                   5847:         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  5848: <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  5849:        }
                   5850:      }
1.220     brouard  5851:         
1.222     brouard  5852:      for(cpt=1; cpt<=nlstate;cpt++) {
                   5853:        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  5854: <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  5855:      }
                   5856:      /* } /\* end i1 *\/ */
                   5857:    }/* End k1 */
                   5858:    fprintf(fichtm,"</ul>");
1.126     brouard  5859: 
1.222     brouard  5860:    fprintf(fichtm,"\
1.126     brouard  5861: \n<br><li><h4> <a name='secondorder'>Result files (second order: variances)</a></h4>\n\
1.193     brouard  5862:  - Parameter file with estimated parameters and covariance matrix: <a href=\"%s\">%s</a> <br> \
1.203     brouard  5863:  - 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  5864: But because parameters are usually highly correlated (a higher incidence of disability \
                   5865: and a higher incidence of recovery can give very close observed transition) it might \
                   5866: be very useful to look not only at linear confidence intervals estimated from the \
                   5867: variances but at the covariance matrix. And instead of looking at the estimated coefficients \
                   5868: (parameters) of the logistic regression, it might be more meaningful to visualize the \
                   5869: covariance matrix of the one-step probabilities. \
                   5870: See page 'Matrix of variance-covariance of one-step probabilities' below. \n", rfileres,rfileres);
1.126     brouard  5871: 
1.222     brouard  5872:    fprintf(fichtm," - Standard deviation of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
                   5873:           subdirf2(fileresu,"PROB_"),subdirf2(fileresu,"PROB_"));
                   5874:    fprintf(fichtm,"\
1.126     brouard  5875:  - Variance-covariance of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
1.222     brouard  5876:           subdirf2(fileresu,"PROBCOV_"),subdirf2(fileresu,"PROBCOV_"));
1.126     brouard  5877: 
1.222     brouard  5878:    fprintf(fichtm,"\
1.126     brouard  5879:  - Correlation matrix of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
1.222     brouard  5880:           subdirf2(fileresu,"PROBCOR_"),subdirf2(fileresu,"PROBCOR_"));
                   5881:    fprintf(fichtm,"\
1.126     brouard  5882:  - 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): \
                   5883:    <a href=\"%s\">%s</a> <br>\n</li>",
1.201     brouard  5884:           estepm,subdirf2(fileresu,"CVE_"),subdirf2(fileresu,"CVE_"));
1.222     brouard  5885:    fprintf(fichtm,"\
1.126     brouard  5886:  - (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): \
                   5887:    <a href=\"%s\">%s</a> <br>\n</li>",
1.201     brouard  5888:           estepm,subdirf2(fileresu,"STDE_"),subdirf2(fileresu,"STDE_"));
1.222     brouard  5889:    fprintf(fichtm,"\
1.128     brouard  5890:  - 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  5891:           estepm, subdirf2(fileresu,"V_"),subdirf2(fileresu,"V_"));
                   5892:    fprintf(fichtm,"\
1.128     brouard  5893:  - 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  5894:           estepm, subdirf2(fileresu,"T_"),subdirf2(fileresu,"T_"));
                   5895:    fprintf(fichtm,"\
1.126     brouard  5896:  - Standard deviation of period (stable) prevalences: <a href=\"%s\">%s</a> <br>\n",\
1.222     brouard  5897:           subdirf2(fileresu,"VPL_"),subdirf2(fileresu,"VPL_"));
1.126     brouard  5898: 
                   5899: /*  if(popforecast==1) fprintf(fichtm,"\n */
                   5900: /*  - Prevalences forecasting: <a href=\"f%s\">f%s</a> <br>\n */
                   5901: /*  - Population forecasting (if popforecast=1): <a href=\"pop%s\">pop%s</a> <br>\n */
                   5902: /*     <br>",fileres,fileres,fileres,fileres); */
                   5903: /*  else  */
                   5904: /*    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  5905:    fflush(fichtm);
                   5906:    fprintf(fichtm," <ul><li><b>Graphs</b></li><p>");
1.126     brouard  5907: 
1.225     brouard  5908:    m=pow(2,cptcoveff);
1.222     brouard  5909:    if (cptcovn < 1) {m=1;ncodemax[1]=1;}
1.126     brouard  5910: 
1.222     brouard  5911:    jj1=0;
                   5912:    for(k1=1; k1<=m;k1++){
                   5913:      /* for(i1=1; i1<=ncodemax[k1];i1++){ */
                   5914:      jj1++;
1.126     brouard  5915:      if (cptcovn > 0) {
                   5916:        fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");
1.225     brouard  5917:        for (cpt=1; cpt<=cptcoveff;cpt++)  /**< cptcoveff number of variables */
1.222     brouard  5918:         fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]);
1.126     brouard  5919:        fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");
1.220     brouard  5920: 
1.222     brouard  5921:        if(invalidvarcomb[k1]){
                   5922:         fprintf(fichtm,"\n<h4>Combination (%d) ignored because no cases </h4>\n",k1); 
                   5923:         continue;
                   5924:        }
1.126     brouard  5925:      }
                   5926:      for(cpt=1; cpt<=nlstate;cpt++) {
1.218     brouard  5927:        fprintf(fichtm,"\n<br>- Observed (cross-sectional) and period (incidence based) \
                   5928: prevalence (with 95%% confidence interval) in state (%d): <a href=\"%s_%d-%d.svg\"> %s_%d-%d.svg</a>\n <br>\
1.205     brouard  5929: <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  5930:      }
                   5931:      fprintf(fichtm,"\n<br>- Total life expectancy by age and \
1.128     brouard  5932: health expectancies in states (1) and (2). If popbased=1 the smooth (due to the model) \
                   5933: true period expectancies (those weighted with period prevalences are also\
                   5934:  drawn in addition to the population based expectancies computed using\
1.218     brouard  5935:  observed and cahotic prevalences:  <a href=\"%s_%d.svg\">%s_%d.svg</a>\n<br>\
1.205     brouard  5936: <img src=\"%s_%d.svg\">",subdirf2(optionfilefiname,"E_"),jj1,subdirf2(optionfilefiname,"E_"),jj1,subdirf2(optionfilefiname,"E_"),jj1);
1.222     brouard  5937:      /* } /\* end i1 *\/ */
                   5938:    }/* End k1 */
                   5939:    fprintf(fichtm,"</ul>");
                   5940:    fflush(fichtm);
1.126     brouard  5941: }
                   5942: 
                   5943: /******************* Gnuplot file **************/
1.223     brouard  5944: void printinggnuplot(char fileresu[], char optionfilefiname[], double ageminpar, double agemaxpar, double fage , int prevfcast, int backcast, char pathc[], double p[]){
1.126     brouard  5945: 
                   5946:   char dirfileres[132],optfileres[132];
1.223     brouard  5947:   char gplotcondition[132];
1.164     brouard  5948:   int cpt=0,k1=0,i=0,k=0,j=0,jk=0,k2=0,k3=0,ij=0,l=0;
1.211     brouard  5949:   int lv=0, vlv=0, kl=0;
1.130     brouard  5950:   int ng=0;
1.201     brouard  5951:   int vpopbased;
1.223     brouard  5952:   int ioffset; /* variable offset for columns */
1.219     brouard  5953: 
1.126     brouard  5954: /*   if((ficgp=fopen(optionfilegnuplot,"a"))==NULL) { */
                   5955: /*     printf("Problem with file %s",optionfilegnuplot); */
                   5956: /*     fprintf(ficlog,"Problem with file %s",optionfilegnuplot); */
                   5957: /*   } */
                   5958: 
                   5959:   /*#ifdef windows */
                   5960:   fprintf(ficgp,"cd \"%s\" \n",pathc);
1.223     brouard  5961:   /*#endif */
1.225     brouard  5962:   m=pow(2,cptcoveff);
1.126     brouard  5963: 
1.202     brouard  5964:   /* Contribution to likelihood */
                   5965:   /* Plot the probability implied in the likelihood */
1.223     brouard  5966:   fprintf(ficgp,"\n# Contributions to the Likelihood, mle >=1. For mle=4 no interpolation, pure matrix products.\n#\n");
                   5967:   fprintf(ficgp,"\n set log y; unset log x;set xlabel \"Age\"; set ylabel \"Likelihood (-2Log(L))\";");
                   5968:   /* fprintf(ficgp,"\nset ter svg size 640, 480"); */ /* Too big for svg */
                   5969:   fprintf(ficgp,"\nset ter pngcairo size 640, 480");
1.204     brouard  5970: /* nice for mle=4 plot by number of matrix products.
1.202     brouard  5971:    replot  "rrtest1/toto.txt" u 2:($4 == 1 && $5==2 ? $9 : 1/0):5 t "p12" with point lc 1 */
                   5972: /* replot exp(p1+p2*x)/(1+exp(p1+p2*x)+exp(p3+p4*x)+exp(p5+p6*x)) t "p12(x)"  */
1.223     brouard  5973:   /* fprintf(ficgp,"\nset out \"%s.svg\";",subdirf2(optionfilefiname,"ILK_")); */
                   5974:   fprintf(ficgp,"\nset out \"%s-dest.png\";",subdirf2(optionfilefiname,"ILK_"));
                   5975:   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));
                   5976:   fprintf(ficgp,"\nset out \"%s-ori.png\";",subdirf2(optionfilefiname,"ILK_"));
                   5977:   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));
                   5978:   for (i=1; i<= nlstate ; i ++) {
                   5979:     fprintf(ficgp,"\nset out \"%s-p%dj.png\";set ylabel \"Probability for each individual/wave\";",subdirf2(optionfilefiname,"ILK_"),i);
                   5980:     fprintf(ficgp,"unset log;\n# plot weighted, mean weight should have point size of 0.5\n plot  \"%s\"",subdirf(fileresilk));
                   5981:     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);
                   5982:     for (j=2; j<= nlstate+ndeath ; j ++) {
                   5983:       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);
                   5984:     }
                   5985:     fprintf(ficgp,";\nset out; unset ylabel;\n"); 
                   5986:   }
                   5987:   /* 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 */               
                   5988:   /* fprintf(ficgp,"\nset log y;plot  \"%s\" u 2:(-$11):3 t \"All sample, all transitions\" with dots lc variable",subdirf(fileresilk)); */
                   5989:   /* fprintf(ficgp,"\nreplot  \"%s\" u 2:($3 <= 3 ? -$11 : 1/0):3 t \"First 3 individuals\" with line lc variable", subdirf(fileresilk)); */
                   5990:   fprintf(ficgp,"\nset out;unset log\n");
                   5991:   /* fprintf(ficgp,"\nset out \"%s.svg\"; replot; set out; # bug gnuplot",subdirf2(optionfilefiname,"ILK_")); */
1.202     brouard  5992: 
1.126     brouard  5993:   strcpy(dirfileres,optionfilefiname);
                   5994:   strcpy(optfileres,"vpl");
1.223     brouard  5995:   /* 1eme*/
1.211     brouard  5996:   for (cpt=1; cpt<= nlstate ; cpt ++) { /* For each live state */
1.220     brouard  5997:     for (k1=1; k1<= m ; k1 ++) { /* For each valid combination of covariate */
1.211     brouard  5998:       /* plot [100000000000000000000:-100000000000000000000] "mysbiaspar/vplrmysbiaspar.txt to check */
                   5999:       fprintf(ficgp,"\n# 1st: Period (stable) prevalence with CI: 'VPL_' files ");
1.225     brouard  6000:       for (k=1; k<=cptcoveff; k++){    /* For each covariate k get corresponding value lv for combination k1 */
                   6001:        lv= decodtabm(k1,k,cptcoveff); /* Should be the value of the covariate corresponding to k1 combination */
1.223     brouard  6002:        /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   6003:        /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   6004:        /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   6005:        vlv= nbcode[Tvaraff[k]][lv]; /* vlv is the value of the covariate lv, 0 or 1 */
                   6006:        /* For each combination of covariate k1 (V1=1, V3=0), we printed the current covariate k and its value vlv */
                   6007:        fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.211     brouard  6008:       }
                   6009:       fprintf(ficgp,"\n#\n");
1.223     brouard  6010:       if(invalidvarcomb[k1]){
                   6011:        fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   6012:        continue;
                   6013:       }
1.211     brouard  6014: 
1.223     brouard  6015:       fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" \n",subdirf2(optionfilefiname,"V_"),cpt,k1);
                   6016:       fprintf(ficgp,"\n#set out \"V_%s_%d-%d.svg\" \n",optionfilefiname,cpt,k1);
                   6017:       fprintf(ficgp,"set xlabel \"Age\" \n\
1.219     brouard  6018: set ylabel \"Probability\" \n  \
                   6019: set ter svg size 640, 480\n    \
1.201     brouard  6020: plot [%.f:%.f] \"%s\" every :::%d::%d u 1:2 \"%%lf",ageminpar,fage,subdirf2(fileresu,"VPL_"),k1-1,k1-1);
1.219     brouard  6021:                        
1.223     brouard  6022:       for (i=1; i<= nlstate ; i ++) {
                   6023:        if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   6024:        else        fprintf(ficgp," %%*lf (%%*lf)");
                   6025:       }
                   6026:       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);
                   6027:       for (i=1; i<= nlstate ; i ++) {
                   6028:        if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   6029:        else fprintf(ficgp," %%*lf (%%*lf)");
                   6030:       } 
                   6031:       fprintf(ficgp,"\" t\"95%% CI\" w l lt 1,\"%s\" every :::%d::%d u 1:($2-1.96*$3) \"%%lf",subdirf2(fileresu,"VPL_"),k1-1,k1-1); 
                   6032:       for (i=1; i<= nlstate ; i ++) {
                   6033:        if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   6034:        else fprintf(ficgp," %%*lf (%%*lf)");
                   6035:       }  
                   6036:       fprintf(ficgp,"\" t\"\" w l lt 1,\"%s\" every :::%d::%d u 1:($%d) t\"Observed prevalence\" w l lt 2",subdirf2(fileresu,"P_"),k1-1,k1-1,2+4*(cpt-1));
                   6037:       if(backcast==1){ /* We need to get the corresponding values of the covariates involved in this combination k1 */
                   6038:        /* fprintf(ficgp,",\"%s\" every :::%d::%d u 1:($%d) t\"Backward stable prevalence\" w l lt 3",subdirf2(fileresu,"PLB_"),k1-1,k1-1,1+cpt); */
                   6039:        fprintf(ficgp,",\"%s\" u 1:((",subdirf2(fileresu,"PLB_")); /* Age is in 1 */
1.225     brouard  6040:        if(cptcoveff ==0){
1.223     brouard  6041:          fprintf(ficgp,"$%d)) t 'Backward prevalence in state %d' with line ",  2+(cpt-1),  cpt );
                   6042:        }else{
                   6043:          kl=0;
1.225     brouard  6044:          for (k=1; k<=cptcoveff; k++){    /* For each combination of covariate  */
                   6045:            lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to k1 combination and kth covariate */
1.223     brouard  6046:            /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   6047:            /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   6048:            /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   6049:            vlv= nbcode[Tvaraff[k]][lv];
                   6050:            kl++;
                   6051:            /* 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 *\/ */
                   6052:            /*6+(cpt-1)*(nlstate+1)+1+(i-1)+(nlstate+1)*nlstate; 6+(1-1)*(2+1)+1+(1-1) +(2+1)*2=13 */ 
                   6053:            /*6+1+(i-1)+(nlstate+1)*nlstate; 6+1+(1-1) +(2+1)*2=13 */ 
                   6054:            /* ''  u 6:(($1==1 && $2==0 && $3==2 && $4==0)? $9/(1.-$15) : 1/0):($5==2000? 3:2) t 'p.1' with line lc variable*/
1.225     brouard  6055:            if(k==cptcoveff){
1.223     brouard  6056:              fprintf(ficgp,"$%d==%d && $%d==%d)? $%d : 1/0) t 'Backward prevalence in state %d' with line ",kl+1, Tvaraff[k],kl+1+1,nbcode[Tvaraff[k]][lv], \
                   6057:                      6+(cpt-1),  cpt );
                   6058:            }else{
                   6059:              fprintf(ficgp,"$%d==%d && $%d==%d && ",kl+1, Tvaraff[k],kl+1+1,nbcode[Tvaraff[k]][lv]);
                   6060:              kl++;
                   6061:            }
                   6062:          } /* end covariate */
                   6063:        } /* end if no covariate */
                   6064:       } /* end if backcast */
                   6065:       fprintf(ficgp,"\nset out \n");
1.201     brouard  6066:     } /* k1 */
                   6067:   } /* cpt */
1.126     brouard  6068:   /*2 eme*/
                   6069:   for (k1=1; k1<= m ; k1 ++) { 
1.220     brouard  6070: 
1.223     brouard  6071:     fprintf(ficgp,"\n# 2nd: Total life expectancy with CI: 't' files ");
1.225     brouard  6072:     for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
                   6073:       lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
1.223     brouard  6074:       /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   6075:       /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   6076:       /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   6077:       vlv= nbcode[Tvaraff[k]][lv];
                   6078:       fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
                   6079:     }
                   6080:     fprintf(ficgp,"\n#\n");
                   6081:     if(invalidvarcomb[k1]){
                   6082:       fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   6083:       continue;
                   6084:     }
1.219     brouard  6085:                        
1.223     brouard  6086:     fprintf(ficgp,"\nset out \"%s_%d.svg\" \n",subdirf2(optionfilefiname,"E_"),k1);
                   6087:     for(vpopbased=0; vpopbased <= popbased; vpopbased++){ /* Done for vpopbased=0 and vpopbased=1 if popbased==1*/
                   6088:       if(vpopbased==0)
                   6089:        fprintf(ficgp,"set ylabel \"Years\" \nset ter svg size 640, 480\nplot [%.f:%.f] ",ageminpar,fage);
                   6090:       else
                   6091:        fprintf(ficgp,"\nreplot ");
                   6092:       for (i=1; i<= nlstate+1 ; i ++) {
                   6093:        k=2*i;
                   6094:        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);
                   6095:        for (j=1; j<= nlstate+1 ; j ++) {
                   6096:          if (j==i) fprintf(ficgp," %%lf (%%lf)");
                   6097:          else fprintf(ficgp," %%*lf (%%*lf)");
                   6098:        }   
                   6099:        if (i== 1) fprintf(ficgp,"\" t\"TLE\" w l lt %d, \\\n",i);
                   6100:        else fprintf(ficgp,"\" t\"LE in state (%d)\" w l lt %d, \\\n",i-1,i+1);
                   6101:        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);
                   6102:        for (j=1; j<= nlstate+1 ; j ++) {
                   6103:          if (j==i) fprintf(ficgp," %%lf (%%lf)");
                   6104:          else fprintf(ficgp," %%*lf (%%*lf)");
                   6105:        }   
                   6106:        fprintf(ficgp,"\" t\"\" w l lt 0,");
                   6107:        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);
                   6108:        for (j=1; j<= nlstate+1 ; j ++) {
                   6109:          if (j==i) fprintf(ficgp," %%lf (%%lf)");
                   6110:          else fprintf(ficgp," %%*lf (%%*lf)");
                   6111:        }   
                   6112:        if (i== (nlstate+1)) fprintf(ficgp,"\" t\"\" w l lt 0");
                   6113:        else fprintf(ficgp,"\" t\"\" w l lt 0,\\\n");
                   6114:       } /* state */
                   6115:     } /* vpopbased */
                   6116:     fprintf(ficgp,"\nset out;set out \"%s_%d.svg\"; replot; set out; \n",subdirf2(optionfilefiname,"E_"),k1); /* Buggy gnuplot */
1.201     brouard  6117:   } /* k1 */
1.219     brouard  6118:        
                   6119:        
1.126     brouard  6120:   /*3eme*/
                   6121:   for (k1=1; k1<= m ; k1 ++) { 
1.220     brouard  6122: 
1.126     brouard  6123:     for (cpt=1; cpt<= nlstate ; cpt ++) {
1.211     brouard  6124:       fprintf(ficgp,"\n# 3d: Life expectancy with EXP_ files:  cov=%d state=%d",k1, cpt);
1.225     brouard  6125:       for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
                   6126:        lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
1.223     brouard  6127:        /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   6128:        /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   6129:        /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   6130:        vlv= nbcode[Tvaraff[k]][lv];
                   6131:        fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.211     brouard  6132:       }
                   6133:       fprintf(ficgp,"\n#\n");
1.223     brouard  6134:       if(invalidvarcomb[k1]){
                   6135:        fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   6136:        continue;
                   6137:       }
1.219     brouard  6138:                        
1.126     brouard  6139:       /*       k=2+nlstate*(2*cpt-2); */
                   6140:       k=2+(nlstate+1)*(cpt-1);
1.201     brouard  6141:       fprintf(ficgp,"\nset out \"%s_%d%d.svg\" \n",subdirf2(optionfilefiname,"EXP_"),cpt,k1);
1.199     brouard  6142:       fprintf(ficgp,"set ter svg size 640, 480\n\
1.201     brouard  6143: 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  6144:       /*fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d-2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);
1.223     brouard  6145:        for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");
                   6146:        fprintf(ficgp,"\" t \"e%d1\" w l",cpt);
                   6147:        fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d+2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);
                   6148:        for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");
                   6149:        fprintf(ficgp,"\" t \"e%d1\" w l",cpt);
1.219     brouard  6150:                                
1.126     brouard  6151:       */
                   6152:       for (i=1; i< nlstate ; i ++) {
1.223     brouard  6153:        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);
                   6154:        /*      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  6155:                                
1.126     brouard  6156:       } 
1.201     brouard  6157:       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  6158:     }
                   6159:   }
                   6160:   
1.223     brouard  6161:   /* 4eme */
1.201     brouard  6162:   /* Survival functions (period) from state i in state j by initial state i */
                   6163:   for (k1=1; k1<= m ; k1 ++) { /* For each multivariate if any */
1.220     brouard  6164: 
1.201     brouard  6165:     for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state */
1.211     brouard  6166:       fprintf(ficgp,"\n#\n#\n# Survival functions in state j : 'LIJ_' files, cov=%d state=%d",k1, cpt);
1.225     brouard  6167:       for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
                   6168:        lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
1.223     brouard  6169:        /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   6170:        /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   6171:        /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   6172:        vlv= nbcode[Tvaraff[k]][lv];
                   6173:        fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.211     brouard  6174:       }
                   6175:       fprintf(ficgp,"\n#\n");
1.223     brouard  6176:       if(invalidvarcomb[k1]){
                   6177:        fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   6178:        continue;
                   6179:       }
1.220     brouard  6180:                        
1.201     brouard  6181:       fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" \n",subdirf2(optionfilefiname,"LIJ_"),cpt,k1);
                   6182:       fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability to be alive\" \n\
1.220     brouard  6183: set ter svg size 640, 480\n                                                                                                                                                                                    \
                   6184: unset log y\n                                                                                                                                                                                                                                          \
1.201     brouard  6185: plot [%.f:%.f]  ", ageminpar, agemaxpar);
1.211     brouard  6186:       k=3;
1.201     brouard  6187:       for (i=1; i<= nlstate ; i ++){
1.223     brouard  6188:        if(i==1){
                   6189:          fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJ_"));
                   6190:        }else{
                   6191:          fprintf(ficgp,", '' ");
                   6192:        }
                   6193:        l=(nlstate+ndeath)*(i-1)+1;
                   6194:        fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l);
                   6195:        for (j=2; j<= nlstate+ndeath ; j ++)
                   6196:          fprintf(ficgp,"+$%d",k+l+j-1);
                   6197:        fprintf(ficgp,")) t \"l(%d,%d)\" w l",i,cpt);
1.201     brouard  6198:       } /* nlstate */
                   6199:       fprintf(ficgp,"\nset out\n");
                   6200:     } /* end cpt state*/ 
                   6201:   } /* end covariate */  
1.220     brouard  6202:        
                   6203: /* 5eme */
1.201     brouard  6204:   /* Survival functions (period) from state i in state j by final state j */
1.202     brouard  6205:   for (k1=1; k1<= m ; k1 ++) { /* For each covariate if any */
1.201     brouard  6206:     for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each inital state  */
1.223     brouard  6207:                        
1.201     brouard  6208:       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  6209:       for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
                   6210:                                lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
1.220     brouard  6211:                                /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   6212:                                /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   6213:                                /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   6214:                                vlv= nbcode[Tvaraff[k]][lv];
                   6215:                                fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.211     brouard  6216:       }
                   6217:       fprintf(ficgp,"\n#\n");
1.223     brouard  6218:       if(invalidvarcomb[k1]){
                   6219:                                fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   6220:                                continue;
                   6221:       }
1.220     brouard  6222:                        
1.201     brouard  6223:       fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" \n",subdirf2(optionfilefiname,"LIJT_"),cpt,k1);
                   6224:       fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability to be alive\" \n\
1.220     brouard  6225: set ter svg size 640, 480\n                                                                                                                                                                                    \
                   6226: unset log y\n                                                                                                                                                                                                                                          \
1.201     brouard  6227: plot [%.f:%.f]  ", ageminpar, agemaxpar);
1.211     brouard  6228:       k=3;
1.201     brouard  6229:       for (j=1; j<= nlstate ; j ++){ /* Lived in state j */
1.220     brouard  6230:                                if(j==1)
                   6231:                                        fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJ_"));
                   6232:                                else
                   6233:                                        fprintf(ficgp,", '' ");
                   6234:                                l=(nlstate+ndeath)*(cpt-1) +j;
                   6235:                                fprintf(ficgp," u (($1==%d && (floor($2)%%5 == 0)) ? ($3):1/0):($%d",k1,k+l);
                   6236:                                /* for (i=2; i<= nlstate+ndeath ; i ++) */
                   6237:                                /*   fprintf(ficgp,"+$%d",k+l+i-1); */
                   6238:                                fprintf(ficgp,") t \"l(%d,%d)\" w l",cpt,j);
1.201     brouard  6239:       } /* nlstate */
                   6240:       fprintf(ficgp,", '' ");
                   6241:       fprintf(ficgp," u (($1==%d && (floor($2)%%5 == 0)) ? ($3):1/0):(",k1);
                   6242:       for (j=1; j<= nlstate ; j ++){ /* Lived in state j */
1.220     brouard  6243:                                l=(nlstate+ndeath)*(cpt-1) +j;
                   6244:                                if(j < nlstate)
                   6245:                                        fprintf(ficgp,"$%d +",k+l);
                   6246:                                else
                   6247:                                        fprintf(ficgp,"$%d) t\"l(%d,.)\" w l",k+l,cpt);
1.201     brouard  6248:       }
                   6249:       fprintf(ficgp,"\nset out\n");
                   6250:     } /* end cpt state*/ 
                   6251:   } /* end covariate */  
1.220     brouard  6252:        
                   6253: /* 6eme */
1.202     brouard  6254:   /* CV preval stable (period) for each covariate */
1.211     brouard  6255:   for (k1=1; k1<= m ; k1 ++) { /* For each covariate combination (1 to m=2**k), if any covariate is present */
1.153     brouard  6256:     for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state */
1.223     brouard  6257:                        
1.211     brouard  6258:       fprintf(ficgp,"\n#\n#\n#CV preval stable (period): 'pij' files, covariatecombination#=%d state=%d",k1, cpt);
1.225     brouard  6259:       for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
                   6260:                                lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
1.220     brouard  6261:                                /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   6262:                                /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   6263:                                /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   6264:                                vlv= nbcode[Tvaraff[k]][lv];
                   6265:                                fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.211     brouard  6266:       }
                   6267:       fprintf(ficgp,"\n#\n");
1.223     brouard  6268:       if(invalidvarcomb[k1]){
                   6269:                                fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   6270:                                continue;
                   6271:       }
                   6272:                        
1.201     brouard  6273:       fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" \n",subdirf2(optionfilefiname,"P_"),cpt,k1);
1.126     brouard  6274:       fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \n\
1.223     brouard  6275: set ter svg size 640, 480\n                                                                                                                                                                             \
                   6276: unset log y\n                                                                                                                                                                                                                                   \
1.153     brouard  6277: plot [%.f:%.f]  ", ageminpar, agemaxpar);
1.211     brouard  6278:       k=3; /* Offset */
1.153     brouard  6279:       for (i=1; i<= nlstate ; i ++){
1.220     brouard  6280:                                if(i==1)
                   6281:                                        fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJ_"));
                   6282:                                else
                   6283:                                        fprintf(ficgp,", '' ");
                   6284:                                l=(nlstate+ndeath)*(i-1)+1;
                   6285:                                fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l);
                   6286:                                for (j=2; j<= nlstate ; j ++)
                   6287:                                        fprintf(ficgp,"+$%d",k+l+j-1);
                   6288:                                fprintf(ficgp,")) t \"prev(%d,%d)\" w l",i,cpt);
1.153     brouard  6289:       } /* nlstate */
1.201     brouard  6290:       fprintf(ficgp,"\nset out\n");
1.153     brouard  6291:     } /* end cpt state*/ 
                   6292:   } /* end covariate */  
1.223     brouard  6293:        
                   6294:        
1.220     brouard  6295: /* 7eme */
1.218     brouard  6296:   if(backcast == 1){
1.217     brouard  6297:     /* CV back preval stable (period) for each covariate */
1.218     brouard  6298:     for (k1=1; k1<= m ; k1 ++) { /* For each covariate combination (1 to m=2**k), if any covariate is present */
                   6299:       for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state */
1.220     brouard  6300:                                fprintf(ficgp,"\n#\n#\n#CV Back preval stable (period): 'pij' files, covariatecombination#=%d state=%d",k1, cpt);
1.225     brouard  6301:                                for (k=1; k<=cptcoveff; k++){    /* For each covariate and each value */
                   6302:                                        lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate number corresponding to k1 combination */
1.220     brouard  6303:                                        /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   6304:                                        /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
1.223     brouard  6305:          /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
1.220     brouard  6306:                                        vlv= nbcode[Tvaraff[k]][lv];
                   6307:                                        fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
                   6308:                                }
                   6309:                                fprintf(ficgp,"\n#\n");
                   6310:                                if(invalidvarcomb[k1]){
1.223     brouard  6311:                                        fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   6312:                                        continue;
1.220     brouard  6313:                                }
                   6314:                                
                   6315:                                fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" \n",subdirf2(optionfilefiname,"PB_"),cpt,k1);
                   6316:                                fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \n\
                   6317: set ter svg size 640, 480\n                                                                                                                                                                                    \
                   6318: unset log y\n                                                                                                                                                                                                                                          \
1.218     brouard  6319: plot [%.f:%.f]  ", ageminpar, agemaxpar);
1.220     brouard  6320:                                k=3; /* Offset */
                   6321:                                for (i=1; i<= nlstate ; i ++){
                   6322:                                        if(i==1)
                   6323:                                                fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"PIJB_"));
                   6324:                                        else
                   6325:                                                fprintf(ficgp,", '' ");
                   6326:                                        /* l=(nlstate+ndeath)*(i-1)+1; */
                   6327:                                        l=(nlstate+ndeath)*(cpt-1)+1;
                   6328:                                        /* fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l); /\* a vérifier *\/ */
                   6329:                                        /* fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l+(cpt-1)+i-1); /\* a vérifier *\/ */
                   6330:                                        fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d",k1,k+l+(cpt-1)+i-1); /* a vérifier */
                   6331:                                        /* for (j=2; j<= nlstate ; j ++) */
                   6332:                                        /*      fprintf(ficgp,"+$%d",k+l+j-1); */
                   6333:                                        /*      /\* fprintf(ficgp,"+$%d",k+l+j-1); *\/ */
                   6334:                                        fprintf(ficgp,") t \"bprev(%d,%d)\" w l",i,cpt);
                   6335:                                } /* nlstate */
                   6336:                                fprintf(ficgp,"\nset out\n");
1.218     brouard  6337:       } /* end cpt state*/ 
                   6338:     } /* end covariate */  
                   6339:   } /* End if backcast */
                   6340:   
1.223     brouard  6341:   /* 8eme */
1.218     brouard  6342:   if(prevfcast==1){
                   6343:     /* Projection from cross-sectional to stable (period) for each covariate */
                   6344:     
                   6345:     for (k1=1; k1<= m ; k1 ++) { /* For each covariate combination (1 to m=2**k), if any covariate is present */
1.211     brouard  6346:       for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state */
1.219     brouard  6347:                                fprintf(ficgp,"\n#\n#\n#Projection of prevalence to stable (period): 'PROJ_' files, covariatecombination#=%d state=%d",k1, cpt);
1.225     brouard  6348:                                for (k=1; k<=cptcoveff; k++){    /* For each correspondig covariate value  */
                   6349:                                        lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to k1 combination and kth covariate */
1.219     brouard  6350:                                        /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   6351:                                        /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   6352:                                        /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
                   6353:                                        vlv= nbcode[Tvaraff[k]][lv];
1.220     brouard  6354:                                        fprintf(ficgp," V%d=%d ",Tvaraff[k],vlv);
1.219     brouard  6355:                                }
                   6356:                                fprintf(ficgp,"\n#\n");
1.220     brouard  6357:                                if(invalidvarcomb[k1]){
1.223     brouard  6358:                                        fprintf(ficgp,"#Combination (%d) ignored because no cases \n",k1); 
                   6359:                                        continue;
1.220     brouard  6360:                                }
1.219     brouard  6361:                                
                   6362:                                fprintf(ficgp,"# hpijx=probability over h years, hp.jx is weighted by observed prev\n ");
                   6363:                                fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" \n",subdirf2(optionfilefiname,"PROJ_"),cpt,k1);
                   6364:                                fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Prevalence\" \n\
1.223     brouard  6365: set ter svg size 640, 480\n                                                                                                                                                                                    \
                   6366: unset log y\n                                                                                                                                                                                                                                          \
1.219     brouard  6367: plot [%.f:%.f]  ", ageminpar, agemaxpar);
                   6368:                                for (i=1; i<= nlstate+1 ; i ++){  /* nlstate +1 p11 p21 p.1 */
                   6369:                                        /*#  V1  = 1  V2 =  0 yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
                   6370:                                        /*#   1    2   3    4    5      6  7   8   9   10   11 12  13   14  15 */   
                   6371:                                        /*# yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
                   6372:                                        /*#   1       2   3    4    5      6  7   8   9   10   11 12  13   14  15 */   
                   6373:                                        if(i==1){
                   6374:                                                fprintf(ficgp,"\"%s\"",subdirf2(fileresu,"F_"));
                   6375:                                        }else{
                   6376:                                                fprintf(ficgp,",\\\n '' ");
                   6377:                                        }
1.225     brouard  6378:                                        if(cptcoveff ==0){ /* No covariate */
1.219     brouard  6379:                                                ioffset=2; /* Age is in 2 */
                   6380:                                                /*# yearproj age p11 p21 p31 p.1 p12 p22 p32 p.2 p13 p23 p33 p.3 p14 p24 p34 p.4*/
                   6381:                                                /*#   1       2   3   4   5  6    7  8   9   10  11  12  13  14  15  16  17  18 */
                   6382:                                                /*# V1  = 1 yearproj age p11 p21 p31 p.1 p12 p22 p32 p.2 p13 p23 p33 p.3 p14 p24 p34 p.4*/
                   6383:                                                /*#  1    2        3   4   5  6    7  8   9   10  11  12  13  14  15  16  17  18 */
                   6384:                                                fprintf(ficgp," u %d:(", ioffset); 
                   6385:                                                if(i==nlstate+1)
                   6386:                                                        fprintf(ficgp," $%d/(1.-$%d)) t 'pw.%d' with line ",                    \
                   6387:                                                                                        ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate,cpt );
                   6388:                                                else
                   6389:                                                        fprintf(ficgp," $%d/(1.-$%d)) t 'p%d%d' with line ",                    \
                   6390:                                                                                        ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate,i,cpt );
                   6391:                                        }else{ /* more than 2 covariates */
1.225     brouard  6392:                                                if(cptcoveff ==1){
1.219     brouard  6393:                                                        ioffset=4; /* Age is in 4 */
                   6394:                                                }else{
                   6395:                                                        ioffset=6; /* Age is in 6 */
1.223     brouard  6396:                                                        /*#  V1  = 1  V2 =  0 yearproj age p11 p21 p.1 p12 p22 p.2 p13 p23 p.3*/
                   6397:                                                        /*#   1    2   3    4    5      6  7   8   9   10   11 12  13   14  15 */
1.219     brouard  6398:                                                }   
1.220     brouard  6399:                                                fprintf(ficgp," u %d:(",ioffset); 
1.219     brouard  6400:                                                kl=0;
1.220     brouard  6401:                                                strcpy(gplotcondition,"(");
1.225     brouard  6402:                                                for (k=1; k<=cptcoveff; k++){    /* For each covariate writing the chain of conditions */
                   6403:                                                        lv= decodtabm(k1,k,cptcoveff); /* Should be the covariate value corresponding to combination k1 and covariate k */
1.219     brouard  6404:                                                        /* decodtabm(1,1,4) = 1 because h=1  k= (1) 1  1  1 */
                   6405:                                                        /* decodtabm(1,2,4) = 1 because h=1  k=  1 (1) 1  1 */
                   6406:                                                        /* decodtabm(13,3,4)= 2 because h=13 k=  1  1 (2) 2 */
1.220     brouard  6407:                                                        vlv= nbcode[Tvaraff[k]][lv]; /* Value of the modality of Tvaraff[k] */
                   6408:                                                        kl++;
                   6409:                                                        sprintf(gplotcondition+strlen(gplotcondition),"$%d==%d && $%d==%d " ,kl,Tvaraff[k], kl+1, nbcode[Tvaraff[k]][lv]);
1.219     brouard  6410:                                                        kl++;
1.225     brouard  6411:                                                        if(k <cptcoveff && cptcoveff>1)
1.220     brouard  6412:                                                                sprintf(gplotcondition+strlen(gplotcondition)," && ");
                   6413:                                                }
                   6414:                                                strcpy(gplotcondition+strlen(gplotcondition),")");
                   6415:                                                /* 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 *\/ */
                   6416:                                                /*6+(cpt-1)*(nlstate+1)+1+(i-1)+(nlstate+1)*nlstate; 6+(1-1)*(2+1)+1+(1-1) +(2+1)*2=13 */ 
                   6417:                                                /*6+1+(i-1)+(nlstate+1)*nlstate; 6+1+(1-1) +(2+1)*2=13 */ 
                   6418:                                                /* ''  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*/
                   6419:                                                if(i==nlstate+1){
                   6420:                                                        fprintf(ficgp,"%s ? $%d/(1.-$%d) : 1/0) t 'p.%d' with line ", gplotcondition, \
                   6421:                                                                                        ioffset+(cpt-1)*(nlstate+1)+1+(i-1),  ioffset+1+(i-1)+(nlstate+1)*nlstate,cpt );
                   6422:                                                }else{
1.223     brouard  6423:                                                        fprintf(ficgp,"%s ? $%d/(1.-$%d) : 1/0) t 'p%d%d' with line ", gplotcondition, \
                   6424:                                                                                        ioffset+(cpt-1)*(nlstate+1)+1+(i-1), ioffset +1+(i-1)+(nlstate+1)*nlstate,i,cpt );
1.220     brouard  6425:                                                }
1.219     brouard  6426:                                        } /* end if covariate */
                   6427:                                } /* nlstate */
                   6428:                                fprintf(ficgp,"\nset out\n");
1.223     brouard  6429:       } /* end cpt state*/
                   6430:     } /* end covariate */
                   6431:   } /* End if prevfcast */
1.219     brouard  6432:        
1.211     brouard  6433:        
1.223     brouard  6434:   /* proba elementaires */
                   6435:   fprintf(ficgp,"\n##############\n#MLE estimated parameters\n#############\n");
1.126     brouard  6436:   for(i=1,jk=1; i <=nlstate; i++){
1.187     brouard  6437:     fprintf(ficgp,"# initial state %d\n",i);
1.126     brouard  6438:     for(k=1; k <=(nlstate+ndeath); k++){
                   6439:       if (k != i) {
1.223     brouard  6440:                                fprintf(ficgp,"#   current state %d\n",k);
                   6441:                                for(j=1; j <=ncovmodel; j++){
                   6442:                                        fprintf(ficgp,"p%d=%f; ",jk,p[jk]);
                   6443:                                        jk++; 
                   6444:                                }
                   6445:                                fprintf(ficgp,"\n");
1.126     brouard  6446:       }
                   6447:     }
1.223     brouard  6448:   }
1.187     brouard  6449:   fprintf(ficgp,"##############\n#\n");
1.223     brouard  6450:        
1.145     brouard  6451:   /*goto avoid;*/
1.200     brouard  6452:   fprintf(ficgp,"\n##############\n#Graphics of probabilities or incidences\n#############\n");
1.187     brouard  6453:   fprintf(ficgp,"# logi(p12/p11)=a12+b12*age+c12age*age+d12*V1+e12*V1*age\n");
                   6454:   fprintf(ficgp,"# logi(p12/p11)=p1 +p2*age +p3*age*age+ p4*V1+ p5*V1*age\n");
                   6455:   fprintf(ficgp,"# logi(p13/p11)=a13+b13*age+c13age*age+d13*V1+e13*V1*age\n");
                   6456:   fprintf(ficgp,"# logi(p13/p11)=p6 +p7*age +p8*age*age+ p9*V1+ p10*V1*age\n");
                   6457:   fprintf(ficgp,"# p12+p13+p14+p11=1=p11(1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
                   6458:   fprintf(ficgp,"#                      +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age)+...)\n");
                   6459:   fprintf(ficgp,"# p11=1/(1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
                   6460:   fprintf(ficgp,"#                      +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age)+...)\n");
                   6461:   fprintf(ficgp,"# p12=exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)/\n");
                   6462:   fprintf(ficgp,"#     (1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
                   6463:   fprintf(ficgp,"#       +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age))\n");
                   6464:   fprintf(ficgp,"#       +exp(a14+b14*age+c14age*age+d14*V1+e14*V1*age)+...)\n");
                   6465:   fprintf(ficgp,"#\n");
1.223     brouard  6466:   for(ng=1; ng<=3;ng++){ /* Number of graphics: first is logit, 2nd is probabilities, third is incidences per year*/
                   6467:     fprintf(ficgp,"# ng=%d\n",ng);
1.225     brouard  6468:     fprintf(ficgp,"#   jk=1 to 2^%d=%d\n",cptcoveff,m);
1.223     brouard  6469:     for(jk=1; jk <=m; jk++) {
                   6470:       fprintf(ficgp,"#    jk=%d\n",jk);
                   6471:       fprintf(ficgp,"\nset out \"%s_%d-%d.svg\" ",subdirf2(optionfilefiname,"PE_"),jk,ng);
                   6472:       fprintf(ficgp,"\nset ter svg size 640, 480 ");
                   6473:       if (ng==1){
                   6474:        fprintf(ficgp,"\nset ylabel \"Value of the logit of the model\"\n"); /* exp(a12+b12*x) could be nice */
                   6475:        fprintf(ficgp,"\nunset log y");
                   6476:       }else if (ng==2){
                   6477:        fprintf(ficgp,"\nset ylabel \"Probability\"\n");
                   6478:        fprintf(ficgp,"\nset log y");
                   6479:       }else if (ng==3){
                   6480:        fprintf(ficgp,"\nset ylabel \"Quasi-incidence per year\"\n");
                   6481:        fprintf(ficgp,"\nset log y");
                   6482:       }else
                   6483:        fprintf(ficgp,"\nunset title ");
                   6484:       fprintf(ficgp,"\nplot  [%.f:%.f] ",ageminpar,agemaxpar);
                   6485:       i=1;
                   6486:       for(k2=1; k2<=nlstate; k2++) {
                   6487:        k3=i;
                   6488:        for(k=1; k<=(nlstate+ndeath); k++) {
                   6489:          if (k != k2){
                   6490:            switch( ng) {
                   6491:            case 1:
                   6492:              if(nagesqr==0)
                   6493:                fprintf(ficgp," p%d+p%d*x",i,i+1);
                   6494:              else /* nagesqr =1 */
                   6495:                fprintf(ficgp," p%d+p%d*x+p%d*x*x",i,i+1,i+1+nagesqr);
                   6496:              break;
                   6497:            case 2: /* ng=2 */
                   6498:              if(nagesqr==0)
                   6499:                fprintf(ficgp," exp(p%d+p%d*x",i,i+1);
                   6500:              else /* nagesqr =1 */
                   6501:                fprintf(ficgp," exp(p%d+p%d*x+p%d*x*x",i,i+1,i+1+nagesqr);
                   6502:              break;
                   6503:            case 3:
                   6504:              if(nagesqr==0)
                   6505:                fprintf(ficgp," %f*exp(p%d+p%d*x",YEARM/stepm,i,i+1);
                   6506:              else /* nagesqr =1 */
                   6507:                fprintf(ficgp," %f*exp(p%d+p%d*x+p%d*x*x",YEARM/stepm,i,i+1,i+1+nagesqr);
                   6508:              break;
                   6509:            }
                   6510:            ij=1;/* To be checked else nbcode[0][0] wrong */
                   6511:            for(j=3; j <=ncovmodel-nagesqr; j++) {
                   6512:              /* printf("Tage[%d]=%d, j=%d\n", ij, Tage[ij], j); */
                   6513:              if(ij <=cptcovage) { /* Bug valgrind */
                   6514:                if((j-2)==Tage[ij]) { /* Bug valgrind */
                   6515:                  fprintf(ficgp,"+p%d*%d*x",i+j+nagesqr-1,nbcode[Tvar[j-2]][codtabm(jk,j-2)]);
                   6516:                  /* fprintf(ficgp,"+p%d*%d*x",i+j+nagesqr-1,nbcode[Tvar[j-2]][codtabm(jk,Tvar[j-2])]); */
                   6517:                  ij++;
                   6518:                }
                   6519:              }
                   6520:              else
1.225     brouard  6521:                                        fprintf(ficgp,"+p%d*%d",i+j+nagesqr-1,nbcode[Tvar[j-2]][codtabm(jk,j-2)]); /* Valgrind bug nbcode */
1.223     brouard  6522:            }
                   6523:          }else{
                   6524:            i=i-ncovmodel;
                   6525:            if(ng !=1 ) /* For logit formula of log p11 is more difficult to get */
                   6526:              fprintf(ficgp," (1.");
                   6527:          }
1.217     brouard  6528:           
1.223     brouard  6529:          if(ng != 1){
                   6530:            fprintf(ficgp,")/(1");
1.126     brouard  6531:             
1.223     brouard  6532:            for(k1=1; k1 <=nlstate; k1++){ 
                   6533:              if(nagesqr==0)
                   6534:                fprintf(ficgp,"+exp(p%d+p%d*x",k3+(k1-1)*ncovmodel,k3+(k1-1)*ncovmodel+1);
                   6535:              else /* nagesqr =1 */
                   6536:                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  6537:               
1.223     brouard  6538:              ij=1;
                   6539:              for(j=3; j <=ncovmodel-nagesqr; j++){
                   6540:                if(ij <=cptcovage) { /* Bug valgrind */
                   6541:                  if((j-2)==Tage[ij]) { /* Bug valgrind */
                   6542:                    fprintf(ficgp,"+p%d*%d*x",k3+(k1-1)*ncovmodel+1+j-2+nagesqr,nbcode[Tvar[j-2]][codtabm(jk,j-2)]);
                   6543:                    /* fprintf(ficgp,"+p%d*%d*x",k3+(k1-1)*ncovmodel+1+j-2+nagesqr,nbcode[Tvar[j-2]][codtabm(jk,Tvar[j-2])]); */
                   6544:                    ij++;
                   6545:                  }
                   6546:                }
                   6547:                else
1.225     brouard  6548:                  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  6549:              }
                   6550:              fprintf(ficgp,")");
                   6551:            }
                   6552:            fprintf(ficgp,")");
                   6553:            if(ng ==2)
                   6554:              fprintf(ficgp," t \"p%d%d\" ", k2,k);
                   6555:            else /* ng= 3 */
                   6556:              fprintf(ficgp," t \"i%d%d\" ", k2,k);
                   6557:          }else{ /* end ng <> 1 */
                   6558:            if( k !=k2) /* logit p11 is hard to draw */
                   6559:              fprintf(ficgp," t \"logit(p%d%d)\" ", k2,k);
                   6560:          }
                   6561:          if ((k+k2)!= (nlstate*2+ndeath) && ng != 1)
                   6562:            fprintf(ficgp,",");
                   6563:          if (ng == 1 && k!=k2 && (k+k2)!= (nlstate*2+ndeath))
                   6564:            fprintf(ficgp,",");
                   6565:          i=i+ncovmodel;
                   6566:        } /* end k */
                   6567:       } /* end k2 */
                   6568:       fprintf(ficgp,"\n set out\n");
                   6569:     } /* end jk */
                   6570:   } /* end ng */
                   6571:   /* avoid: */
                   6572:   fflush(ficgp); 
1.126     brouard  6573: }  /* end gnuplot */
                   6574: 
                   6575: 
                   6576: /*************** Moving average **************/
1.219     brouard  6577: /* int movingaverage(double ***probs, double bage, double fage, double ***mobaverage, int mobilav, double bageout, double fageout){ */
1.222     brouard  6578:  int movingaverage(double ***probs, double bage, double fage, double ***mobaverage, int mobilav){
1.218     brouard  6579:    
1.222     brouard  6580:    int i, cpt, cptcod;
                   6581:    int modcovmax =1;
                   6582:    int mobilavrange, mob;
                   6583:    int iage=0;
                   6584: 
                   6585:    double sum=0.;
                   6586:    double age;
                   6587:    double *sumnewp, *sumnewm;
                   6588:    double *agemingood, *agemaxgood; /* Currently identical for all covariates */
                   6589:   
                   6590:   
1.225     brouard  6591:    /* modcovmax=2*cptcoveff;/\* Max number of modalities. We suppose  */
1.222     brouard  6592:    /*             a covariate has 2 modalities, should be equal to ncovcombmax  *\/ */
                   6593: 
                   6594:    sumnewp = vector(1,ncovcombmax);
                   6595:    sumnewm = vector(1,ncovcombmax);
                   6596:    agemingood = vector(1,ncovcombmax); 
                   6597:    agemaxgood = vector(1,ncovcombmax);
                   6598: 
                   6599:    for (cptcod=1;cptcod<=ncovcombmax;cptcod++){
                   6600:      sumnewm[cptcod]=0.;
                   6601:      sumnewp[cptcod]=0.;
                   6602:      agemingood[cptcod]=0;
                   6603:      agemaxgood[cptcod]=0;
                   6604:    }
                   6605:    if (cptcovn<1) ncovcombmax=1; /* At least 1 pass */
                   6606:   
                   6607:    if(mobilav==1||mobilav ==3 ||mobilav==5 ||mobilav== 7){
                   6608:      if(mobilav==1) mobilavrange=5; /* default */
                   6609:      else mobilavrange=mobilav;
                   6610:      for (age=bage; age<=fage; age++)
                   6611:        for (i=1; i<=nlstate;i++)
                   6612:         for (cptcod=1;cptcod<=ncovcombmax;cptcod++)
                   6613:           mobaverage[(int)age][i][cptcod]=probs[(int)age][i][cptcod];
                   6614:      /* We keep the original values on the extreme ages bage, fage and for 
                   6615:        fage+1 and bage-1 we use a 3 terms moving average; for fage+2 bage+2
                   6616:        we use a 5 terms etc. until the borders are no more concerned. 
                   6617:      */ 
                   6618:      for (mob=3;mob <=mobilavrange;mob=mob+2){
                   6619:        for (age=bage+(mob-1)/2; age<=fage-(mob-1)/2; age++){
                   6620:         for (i=1; i<=nlstate;i++){
                   6621:           for (cptcod=1;cptcod<=ncovcombmax;cptcod++){
                   6622:             mobaverage[(int)age][i][cptcod] =probs[(int)age][i][cptcod];
                   6623:             for (cpt=1;cpt<=(mob-1)/2;cpt++){
                   6624:               mobaverage[(int)age][i][cptcod] +=probs[(int)age-cpt][i][cptcod];
                   6625:               mobaverage[(int)age][i][cptcod] +=probs[(int)age+cpt][i][cptcod];
                   6626:             }
                   6627:             mobaverage[(int)age][i][cptcod]=mobaverage[(int)age][i][cptcod]/mob;
                   6628:           }
                   6629:         }
                   6630:        }/* end age */
                   6631:      }/* end mob */
                   6632:    }else
                   6633:      return -1;
                   6634:    for (cptcod=1;cptcod<=ncovcombmax;cptcod++){
                   6635:      /* for (age=bage+(mob-1)/2; age<=fage-(mob-1)/2; age++){ */
                   6636:      if(invalidvarcomb[cptcod]){
                   6637:        printf("\nCombination (%d) ignored because no cases \n",cptcod); 
                   6638:        continue;
                   6639:      }
1.219     brouard  6640: 
1.222     brouard  6641:      agemingood[cptcod]=fage-(mob-1)/2;
                   6642:      for (age=fage-(mob-1)/2; age>=bage; age--){/* From oldest to youngest, finding the youngest wrong */
                   6643:        sumnewm[cptcod]=0.;
                   6644:        for (i=1; i<=nlstate;i++){
                   6645:         sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
                   6646:        }
                   6647:        if(fabs(sumnewm[cptcod] - 1.) <= 1.e-3) { /* good */
                   6648:         agemingood[cptcod]=age;
                   6649:        }else{ /* bad */
                   6650:         for (i=1; i<=nlstate;i++){
                   6651:           mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemingood[cptcod]][i][cptcod];
                   6652:         } /* i */
                   6653:        } /* end bad */
                   6654:      }/* age */
                   6655:      sum=0.;
                   6656:      for (i=1; i<=nlstate;i++){
                   6657:        sum+=mobaverage[(int)agemingood[cptcod]][i][cptcod];
                   6658:      }
                   6659:      if(fabs(sum - 1.) > 1.e-3) { /* bad */
                   6660:        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);
                   6661:        /* for (i=1; i<=nlstate;i++){ */
                   6662:        /*   mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemingood[cptcod]][i][cptcod]; */
                   6663:        /* } /\* i *\/ */
                   6664:      } /* end bad */
                   6665:      /* else{ /\* We found some ages summing to one, we will smooth the oldest *\/ */
                   6666:      /* From youngest, finding the oldest wrong */
                   6667:      agemaxgood[cptcod]=bage+(mob-1)/2;
                   6668:      for (age=bage+(mob-1)/2; age<=fage; age++){
                   6669:        sumnewm[cptcod]=0.;
                   6670:        for (i=1; i<=nlstate;i++){
                   6671:         sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
                   6672:        }
                   6673:        if(fabs(sumnewm[cptcod] - 1.) <= 1.e-3) { /* good */
                   6674:         agemaxgood[cptcod]=age;
                   6675:        }else{ /* bad */
                   6676:         for (i=1; i<=nlstate;i++){
                   6677:           mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemaxgood[cptcod]][i][cptcod];
                   6678:         } /* i */
                   6679:        } /* end bad */
                   6680:      }/* age */
                   6681:      sum=0.;
                   6682:      for (i=1; i<=nlstate;i++){
                   6683:        sum+=mobaverage[(int)agemaxgood[cptcod]][i][cptcod];
                   6684:      }
                   6685:      if(fabs(sum - 1.) > 1.e-3) { /* bad */
                   6686:        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);
                   6687:        /* for (i=1; i<=nlstate;i++){ */
                   6688:        /*   mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemingood[cptcod]][i][cptcod]; */
                   6689:        /* } /\* i *\/ */
                   6690:      } /* end bad */
                   6691:                
                   6692:      for (age=bage; age<=fage; age++){
                   6693:        printf("%d %d ", cptcod, (int)age);
                   6694:        sumnewp[cptcod]=0.;
                   6695:        sumnewm[cptcod]=0.;
                   6696:        for (i=1; i<=nlstate;i++){
                   6697:         sumnewp[cptcod]+=probs[(int)age][i][cptcod];
                   6698:         sumnewm[cptcod]+=mobaverage[(int)age][i][cptcod];
                   6699:         /* printf("%.4f %.4f ",probs[(int)age][i][cptcod], mobaverage[(int)age][i][cptcod]); */
                   6700:        }
                   6701:        /* printf("%.4f %.4f \n",sumnewp[cptcod], sumnewm[cptcod]); */
                   6702:      }
                   6703:      /* printf("\n"); */
                   6704:      /* } */
                   6705:      /* brutal averaging */
                   6706:      for (i=1; i<=nlstate;i++){
                   6707:        for (age=1; age<=bage; age++){
                   6708:         mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemingood[cptcod]][i][cptcod];
                   6709:         /* printf("age=%d i=%d cptcod=%d mobaverage=%.4f \n",(int)age,i, cptcod, mobaverage[(int)age][i][cptcod]); */
                   6710:        }       
                   6711:        for (age=fage; age<=AGESUP; age++){
                   6712:         mobaverage[(int)age][i][cptcod]=mobaverage[(int)agemaxgood[cptcod]][i][cptcod];
                   6713:         /* printf("age=%d i=%d cptcod=%d mobaverage=%.4f \n",(int)age,i, cptcod, mobaverage[(int)age][i][cptcod]); */
                   6714:        }
                   6715:      } /* end i status */
                   6716:      for (i=nlstate+1; i<=nlstate+ndeath;i++){
                   6717:        for (age=1; age<=AGESUP; age++){
                   6718:         /*printf("i=%d, age=%d, cptcod=%d\n",i, (int)age, cptcod);*/
                   6719:         mobaverage[(int)age][i][cptcod]=0.;
                   6720:        }
                   6721:      }
                   6722:    }/* end cptcod */
                   6723:    free_vector(sumnewm,1, ncovcombmax);
                   6724:    free_vector(sumnewp,1, ncovcombmax);
                   6725:    free_vector(agemaxgood,1, ncovcombmax);
                   6726:    free_vector(agemingood,1, ncovcombmax);
                   6727:    return 0;
                   6728:  }/* End movingaverage */
1.218     brouard  6729:  
1.126     brouard  6730: 
                   6731: /************** Forecasting ******************/
1.225     brouard  6732: 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  6733:   /* proj1, year, month, day of starting projection 
                   6734:      agemin, agemax range of age
                   6735:      dateprev1 dateprev2 range of dates during which prevalence is computed
                   6736:      anproj2 year of en of projection (same day and month as proj1).
                   6737:   */
1.164     brouard  6738:   int yearp, stepsize, hstepm, nhstepm, j, k, cptcod, i, h, i1;
1.126     brouard  6739:   double agec; /* generic age */
                   6740:   double agelim, ppij, yp,yp1,yp2,jprojmean,mprojmean,anprojmean;
                   6741:   double *popeffectif,*popcount;
                   6742:   double ***p3mat;
1.218     brouard  6743:   /* double ***mobaverage; */
1.126     brouard  6744:   char fileresf[FILENAMELENGTH];
                   6745: 
                   6746:   agelim=AGESUP;
1.211     brouard  6747:   /* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people
                   6748:      in each health status at the date of interview (if between dateprev1 and dateprev2).
                   6749:      We still use firstpass and lastpass as another selection.
                   6750:   */
1.214     brouard  6751:   /* freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint,strstart,\ */
                   6752:   /*         firstpass, lastpass,  stepm,  weightopt, model); */
1.126     brouard  6753:  
1.201     brouard  6754:   strcpy(fileresf,"F_"); 
                   6755:   strcat(fileresf,fileresu);
1.126     brouard  6756:   if((ficresf=fopen(fileresf,"w"))==NULL) {
                   6757:     printf("Problem with forecast resultfile: %s\n", fileresf);
                   6758:     fprintf(ficlog,"Problem with forecast resultfile: %s\n", fileresf);
                   6759:   }
1.215     brouard  6760:   printf("Computing forecasting: result on file '%s', please wait... \n", fileresf);
                   6761:   fprintf(ficlog,"Computing forecasting: result on file '%s', please wait... \n", fileresf);
1.126     brouard  6762: 
1.225     brouard  6763:   if (cptcoveff==0) ncodemax[cptcoveff]=1;
1.126     brouard  6764: 
                   6765: 
                   6766:   stepsize=(int) (stepm+YEARM-1)/YEARM;
                   6767:   if (stepm<=12) stepsize=1;
                   6768:   if(estepm < stepm){
                   6769:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   6770:   }
                   6771:   else  hstepm=estepm;   
                   6772: 
                   6773:   hstepm=hstepm/stepm; 
                   6774:   yp1=modf(dateintmean,&yp);/* extracts integral of datemean in yp  and
                   6775:                                fractional in yp1 */
                   6776:   anprojmean=yp;
                   6777:   yp2=modf((yp1*12),&yp);
                   6778:   mprojmean=yp;
                   6779:   yp1=modf((yp2*30.5),&yp);
                   6780:   jprojmean=yp;
                   6781:   if(jprojmean==0) jprojmean=1;
                   6782:   if(mprojmean==0) jprojmean=1;
                   6783: 
1.225     brouard  6784:   i1=cptcoveff;
1.126     brouard  6785:   if (cptcovn < 1){i1=1;}
                   6786:   
                   6787:   fprintf(ficresf,"# Mean day of interviews %.lf/%.lf/%.lf (%.2f) between %.2f and %.2f \n",jprojmean,mprojmean,anprojmean,dateintmean,dateprev1,dateprev2); 
                   6788:   
                   6789:   fprintf(ficresf,"#****** Routine prevforecast **\n");
                   6790: 
                   6791: /*           if (h==(int)(YEARM*yearp)){ */
                   6792:   for(cptcov=1, k=0;cptcov<=i1;cptcov++){
1.225     brouard  6793:     for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){
1.126     brouard  6794:       k=k+1;
1.211     brouard  6795:       fprintf(ficresf,"\n#****** hpijx=probability over h years, hp.jx is weighted by observed prev \n#");
1.225     brouard  6796:       for(j=1;j<=cptcoveff;j++) {
1.219     brouard  6797:                                fprintf(ficresf," V%d (=) %d",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.126     brouard  6798:       }
1.211     brouard  6799:       fprintf(ficresf," yearproj age");
1.126     brouard  6800:       for(j=1; j<=nlstate+ndeath;j++){ 
1.219     brouard  6801:                                for(i=1; i<=nlstate;i++)              
1.126     brouard  6802:           fprintf(ficresf," p%d%d",i,j);
1.219     brouard  6803:                                fprintf(ficresf," wp.%d",j);
1.126     brouard  6804:       }
1.217     brouard  6805:       for (yearp=0; yearp<=(anproj2-anproj1);yearp +=stepsize) {
1.219     brouard  6806:                                fprintf(ficresf,"\n");
                   6807:                                fprintf(ficresf,"\n# Forecasting at date %.lf/%.lf/%.lf ",jproj1,mproj1,anproj1+yearp);   
                   6808:                                for (agec=fage; agec>=(ageminpar-1); agec--){ 
                   6809:                                        nhstepm=(int) rint((agelim-agec)*YEARM/stepm); 
                   6810:                                        nhstepm = nhstepm/hstepm; 
                   6811:                                        p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   6812:                                        oldm=oldms;savm=savms;
                   6813:                                        hpxij(p3mat,nhstepm,agec,hstepm,p,nlstate,stepm,oldm,savm, k);
                   6814:                                        
                   6815:                                        for (h=0; h<=nhstepm; h++){
                   6816:                                                if (h*hstepm/YEARM*stepm ==yearp) {
1.126     brouard  6817:               fprintf(ficresf,"\n");
1.225     brouard  6818:               for(j=1;j<=cptcoveff;j++) 
1.198     brouard  6819:                 fprintf(ficresf,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.219     brouard  6820:                                                        fprintf(ficresf,"%.f %.f ",anproj1+yearp,agec+h*hstepm/YEARM*stepm);
                   6821:                                                } 
                   6822:                                                for(j=1; j<=nlstate+ndeath;j++) {
                   6823:                                                        ppij=0.;
                   6824:                                                        for(i=1; i<=nlstate;i++) {
                   6825:                                                                if (mobilav==1) 
                   6826:                                                                        ppij=ppij+p3mat[i][j][h]*mobaverage[(int)agec][i][cptcod];
                   6827:                                                                else {
                   6828:                                                                        ppij=ppij+p3mat[i][j][h]*probs[(int)(agec)][i][cptcod];
                   6829:                                                                }
                   6830:                                                                if (h*hstepm/YEARM*stepm== yearp) {
                   6831:                                                                        fprintf(ficresf," %.3f", p3mat[i][j][h]);
                   6832:                                                                }
                   6833:                                                        } /* end i */
                   6834:                                                        if (h*hstepm/YEARM*stepm==yearp) {
                   6835:                                                                fprintf(ficresf," %.3f", ppij);
                   6836:                                                        }
                   6837:                                                }/* end j */
                   6838:                                        } /* end h */
                   6839:                                        free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   6840:                                } /* end agec */
1.126     brouard  6841:       } /* end yearp */
                   6842:     } /* end cptcod */
                   6843:   } /* end  cptcov */
1.219     brouard  6844:        
1.126     brouard  6845:   fclose(ficresf);
1.215     brouard  6846:   printf("End of Computing forecasting \n");
                   6847:   fprintf(ficlog,"End of Computing forecasting\n");
                   6848: 
1.126     brouard  6849: }
                   6850: 
1.218     brouard  6851: /* /\************** Back Forecasting ******************\/ */
1.225     brouard  6852: /* 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  6853: /*   /\* back1, year, month, day of starting backection  */
                   6854: /*      agemin, agemax range of age */
                   6855: /*      dateprev1 dateprev2 range of dates during which prevalence is computed */
                   6856: /*      anback2 year of en of backection (same day and month as back1). */
                   6857: /*   *\/ */
                   6858: /*   int yearp, stepsize, hstepm, nhstepm, j, k, cptcod, i, h, i1; */
                   6859: /*   double agec; /\* generic age *\/ */
                   6860: /*   double agelim, ppij, yp,yp1,yp2,jprojmean,mprojmean,anprojmean; */
                   6861: /*   double *popeffectif,*popcount; */
                   6862: /*   double ***p3mat; */
                   6863: /*   /\* double ***mobaverage; *\/ */
                   6864: /*   char fileresfb[FILENAMELENGTH]; */
                   6865:        
                   6866: /*   agelim=AGESUP; */
                   6867: /*   /\* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people */
                   6868: /*      in each health status at the date of interview (if between dateprev1 and dateprev2). */
                   6869: /*      We still use firstpass and lastpass as another selection. */
                   6870: /*   *\/ */
                   6871: /*   /\* freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint,strstart,\ *\/ */
                   6872: /*   /\*             firstpass, lastpass,  stepm,  weightopt, model); *\/ */
                   6873: /*   prevalence(probs, ageminpar, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass); */
                   6874:        
                   6875: /*   strcpy(fileresfb,"FB_");  */
                   6876: /*   strcat(fileresfb,fileresu); */
                   6877: /*   if((ficresfb=fopen(fileresfb,"w"))==NULL) { */
                   6878: /*     printf("Problem with back forecast resultfile: %s\n", fileresfb); */
                   6879: /*     fprintf(ficlog,"Problem with back forecast resultfile: %s\n", fileresfb); */
                   6880: /*   } */
                   6881: /*   printf("Computing back forecasting: result on file '%s', please wait... \n", fileresfb); */
                   6882: /*   fprintf(ficlog,"Computing back forecasting: result on file '%s', please wait... \n", fileresfb); */
                   6883:        
1.225     brouard  6884: /*   if (cptcoveff==0) ncodemax[cptcoveff]=1; */
1.218     brouard  6885:        
                   6886: /*   /\* if (mobilav!=0) { *\/ */
                   6887: /*   /\*   mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); *\/ */
                   6888: /*   /\*   if (movingaverage(probs, ageminpar, fage, mobaverage,mobilav)!=0){ *\/ */
                   6889: /*   /\*     fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav); *\/ */
                   6890: /*   /\*     printf(" Error in movingaverage mobilav=%d\n",mobilav); *\/ */
                   6891: /*   /\*   } *\/ */
                   6892: /*   /\* } *\/ */
                   6893:        
                   6894: /*   stepsize=(int) (stepm+YEARM-1)/YEARM; */
                   6895: /*   if (stepm<=12) stepsize=1; */
                   6896: /*   if(estepm < stepm){ */
                   6897: /*     printf ("Problem %d lower than %d\n",estepm, stepm); */
                   6898: /*   } */
                   6899: /*   else  hstepm=estepm;    */
                   6900:        
                   6901: /*   hstepm=hstepm/stepm;  */
                   6902: /*   yp1=modf(dateintmean,&yp);/\* extracts integral of datemean in yp  and */
                   6903: /*                                fractional in yp1 *\/ */
                   6904: /*   anprojmean=yp; */
                   6905: /*   yp2=modf((yp1*12),&yp); */
                   6906: /*   mprojmean=yp; */
                   6907: /*   yp1=modf((yp2*30.5),&yp); */
                   6908: /*   jprojmean=yp; */
                   6909: /*   if(jprojmean==0) jprojmean=1; */
                   6910: /*   if(mprojmean==0) jprojmean=1; */
                   6911:        
1.225     brouard  6912: /*   i1=cptcoveff; */
1.218     brouard  6913: /*   if (cptcovn < 1){i1=1;} */
1.217     brouard  6914:   
1.218     brouard  6915: /*   fprintf(ficresfb,"# Mean day of interviews %.lf/%.lf/%.lf (%.2f) between %.2f and %.2f \n",jprojmean,mprojmean,anprojmean,dateintmean,dateprev1,dateprev2);  */
1.217     brouard  6916:   
1.218     brouard  6917: /*   fprintf(ficresfb,"#****** Routine prevbackforecast **\n"); */
                   6918:        
                   6919: /*     /\*           if (h==(int)(YEARM*yearp)){ *\/ */
                   6920: /*   for(cptcov=1, k=0;cptcov<=i1;cptcov++){ */
1.225     brouard  6921: /*     for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){ */
1.218     brouard  6922: /*       k=k+1; */
                   6923: /*       fprintf(ficresfb,"\n#****** hbijx=probability over h years, hp.jx is weighted by observed prev \n#"); */
1.225     brouard  6924: /*       for(j=1;j<=cptcoveff;j++) { */
1.218     brouard  6925: /*                             fprintf(ficresfb," V%d (=) %d",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]); */
                   6926: /*       } */
                   6927: /*       fprintf(ficresfb," yearbproj age"); */
                   6928: /*       for(j=1; j<=nlstate+ndeath;j++){  */
                   6929: /*                             for(i=1; i<=nlstate;i++)               */
                   6930: /*           fprintf(ficresfb," p%d%d",i,j); */
                   6931: /*                             fprintf(ficresfb," p.%d",j); */
                   6932: /*       } */
                   6933: /*       for (yearp=0; yearp>=(anback2-anback1);yearp -=stepsize) {  */
                   6934: /*                             /\* for (yearp=0; yearp<=(anproj2-anproj1);yearp +=stepsize) {  *\/ */
                   6935: /*                             fprintf(ficresfb,"\n"); */
                   6936: /*                             fprintf(ficresfb,"\n# Back Forecasting at date %.lf/%.lf/%.lf ",jback1,mback1,anback1+yearp);    */
                   6937: /*                             for (agec=fage; agec>=(ageminpar-1); agec--){  */
                   6938: /*                                     nhstepm=(int) rint((agelim-agec)*YEARM/stepm);  */
                   6939: /*                                     nhstepm = nhstepm/hstepm;  */
                   6940: /*                                     p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); */
                   6941: /*                                     oldm=oldms;savm=savms; */
                   6942: /*                                     hbxij(p3mat,nhstepm,agec,hstepm,p,prevacurrent,nlstate,stepm,oldm,savm,oldm,savm, dnewm, doldm, dsavm, k);       */
                   6943: /*                                     for (h=0; h<=nhstepm; h++){ */
                   6944: /*                                             if (h*hstepm/YEARM*stepm ==yearp) { */
                   6945: /*               fprintf(ficresfb,"\n"); */
1.225     brouard  6946: /*               for(j=1;j<=cptcoveff;j++)  */
1.218     brouard  6947: /*                 fprintf(ficresfb,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]); */
                   6948: /*                                                     fprintf(ficresfb,"%.f %.f ",anback1+yearp,agec+h*hstepm/YEARM*stepm); */
                   6949: /*                                             }  */
                   6950: /*                                             for(j=1; j<=nlstate+ndeath;j++) { */
                   6951: /*                                                     ppij=0.; */
                   6952: /*                                                     for(i=1; i<=nlstate;i++) { */
                   6953: /*                                                             if (mobilav==1)  */
                   6954: /*                                                                     ppij=ppij+p3mat[i][j][h]*mobaverage[(int)agec][i][cptcod]; */
                   6955: /*                                                             else { */
                   6956: /*                                                                     ppij=ppij+p3mat[i][j][h]*probs[(int)(agec)][i][cptcod]; */
                   6957: /*                                                             } */
                   6958: /*                                                             if (h*hstepm/YEARM*stepm== yearp) { */
                   6959: /*                                                                     fprintf(ficresfb," %.3f", p3mat[i][j][h]); */
                   6960: /*                                                             } */
                   6961: /*                                                     } /\* end i *\/ */
                   6962: /*                                                     if (h*hstepm/YEARM*stepm==yearp) { */
                   6963: /*                                                             fprintf(ficresfb," %.3f", ppij); */
                   6964: /*                                                     } */
                   6965: /*                                             }/\* end j *\/ */
                   6966: /*                                     } /\* end h *\/ */
                   6967: /*                                     free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); */
                   6968: /*                             } /\* end agec *\/ */
                   6969: /*       } /\* end yearp *\/ */
                   6970: /*     } /\* end cptcod *\/ */
                   6971: /*   } /\* end  cptcov *\/ */
                   6972:        
                   6973: /*   /\* if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); *\/ */
                   6974:        
                   6975: /*   fclose(ficresfb); */
                   6976: /*   printf("End of Computing Back forecasting \n"); */
                   6977: /*   fprintf(ficlog,"End of Computing Back forecasting\n"); */
1.217     brouard  6978:        
1.218     brouard  6979: /* } */
1.217     brouard  6980: 
1.126     brouard  6981: /************** Forecasting *****not tested NB*************/
1.169     brouard  6982: 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  6983:   
                   6984:   int cpt, stepsize, hstepm, nhstepm, j,k,c, cptcod, i,h;
                   6985:   int *popage;
                   6986:   double calagedatem, agelim, kk1, kk2;
                   6987:   double *popeffectif,*popcount;
                   6988:   double ***p3mat,***tabpop,***tabpopprev;
1.218     brouard  6989:   /* double ***mobaverage; */
1.126     brouard  6990:   char filerespop[FILENAMELENGTH];
                   6991: 
                   6992:   tabpop= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   6993:   tabpopprev= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   6994:   agelim=AGESUP;
                   6995:   calagedatem=(anpyram+mpyram/12.+jpyram/365.-dateintmean)*YEARM;
                   6996:   
                   6997:   prevalence(probs, ageminpar, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass);
                   6998:   
                   6999:   
1.201     brouard  7000:   strcpy(filerespop,"POP_"); 
                   7001:   strcat(filerespop,fileresu);
1.126     brouard  7002:   if((ficrespop=fopen(filerespop,"w"))==NULL) {
                   7003:     printf("Problem with forecast resultfile: %s\n", filerespop);
                   7004:     fprintf(ficlog,"Problem with forecast resultfile: %s\n", filerespop);
                   7005:   }
                   7006:   printf("Computing forecasting: result on file '%s' \n", filerespop);
                   7007:   fprintf(ficlog,"Computing forecasting: result on file '%s' \n", filerespop);
                   7008: 
1.225     brouard  7009:   if (cptcoveff==0) ncodemax[cptcoveff]=1;
1.126     brouard  7010: 
1.218     brouard  7011:   /* if (mobilav!=0) { */
                   7012:   /*   mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   7013:   /*   if (movingaverage(probs, ageminpar, fage, mobaverage,mobilav)!=0){ */
                   7014:   /*     fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav); */
                   7015:   /*     printf(" Error in movingaverage mobilav=%d\n",mobilav); */
                   7016:   /*   } */
                   7017:   /* } */
1.126     brouard  7018: 
                   7019:   stepsize=(int) (stepm+YEARM-1)/YEARM;
                   7020:   if (stepm<=12) stepsize=1;
                   7021:   
                   7022:   agelim=AGESUP;
                   7023:   
                   7024:   hstepm=1;
                   7025:   hstepm=hstepm/stepm; 
1.218     brouard  7026:        
1.126     brouard  7027:   if (popforecast==1) {
                   7028:     if((ficpop=fopen(popfile,"r"))==NULL) {
                   7029:       printf("Problem with population file : %s\n",popfile);exit(0);
                   7030:       fprintf(ficlog,"Problem with population file : %s\n",popfile);exit(0);
                   7031:     } 
                   7032:     popage=ivector(0,AGESUP);
                   7033:     popeffectif=vector(0,AGESUP);
                   7034:     popcount=vector(0,AGESUP);
                   7035:     
                   7036:     i=1;   
                   7037:     while ((c=fscanf(ficpop,"%d %lf\n",&popage[i],&popcount[i])) != EOF) i=i+1;
1.218     brouard  7038:     
1.126     brouard  7039:     imx=i;
                   7040:     for (i=1; i<imx;i++) popeffectif[popage[i]]=popcount[i];
                   7041:   }
1.218     brouard  7042:   
1.126     brouard  7043:   for(cptcov=1,k=0;cptcov<=i2;cptcov++){
1.225     brouard  7044:     for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){
1.126     brouard  7045:       k=k+1;
                   7046:       fprintf(ficrespop,"\n#******");
1.225     brouard  7047:       for(j=1;j<=cptcoveff;j++) {
1.198     brouard  7048:        fprintf(ficrespop," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.126     brouard  7049:       }
                   7050:       fprintf(ficrespop,"******\n");
                   7051:       fprintf(ficrespop,"# Age");
                   7052:       for(j=1; j<=nlstate+ndeath;j++) fprintf(ficrespop," P.%d",j);
                   7053:       if (popforecast==1)  fprintf(ficrespop," [Population]");
                   7054:       
                   7055:       for (cpt=0; cpt<=0;cpt++) { 
                   7056:        fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);   
                   7057:        
1.218     brouard  7058:        for (agedeb=(fage-((int)calagedatem %12/12.)); agedeb>=(ageminpar-((int)calagedatem %12)/12.); agedeb--){ 
1.126     brouard  7059:          nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); 
                   7060:          nhstepm = nhstepm/hstepm; 
                   7061:          
                   7062:          p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   7063:          oldm=oldms;savm=savms;
                   7064:          hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);  
1.218     brouard  7065:          
1.126     brouard  7066:          for (h=0; h<=nhstepm; h++){
                   7067:            if (h==(int) (calagedatem+YEARM*cpt)) {
                   7068:              fprintf(ficrespop,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm);
                   7069:            } 
                   7070:            for(j=1; j<=nlstate+ndeath;j++) {
                   7071:              kk1=0.;kk2=0;
                   7072:              for(i=1; i<=nlstate;i++) {              
                   7073:                if (mobilav==1) 
                   7074:                  kk1=kk1+p3mat[i][j][h]*mobaverage[(int)agedeb+1][i][cptcod];
                   7075:                else {
                   7076:                  kk1=kk1+p3mat[i][j][h]*probs[(int)(agedeb+1)][i][cptcod];
                   7077:                }
                   7078:              }
                   7079:              if (h==(int)(calagedatem+12*cpt)){
                   7080:                tabpop[(int)(agedeb)][j][cptcod]=kk1;
1.218     brouard  7081:                /*fprintf(ficrespop," %.3f", kk1);
                   7082:                  if (popforecast==1) fprintf(ficrespop," [%.f]", kk1*popeffectif[(int)agedeb+1]);*/
1.126     brouard  7083:              }
                   7084:            }
                   7085:            for(i=1; i<=nlstate;i++){
                   7086:              kk1=0.;
1.218     brouard  7087:              for(j=1; j<=nlstate;j++){
                   7088:                kk1= kk1+tabpop[(int)(agedeb)][j][cptcod]; 
                   7089:              }
                   7090:              tabpopprev[(int)(agedeb)][i][cptcod]=tabpop[(int)(agedeb)][i][cptcod]/kk1*popeffectif[(int)(agedeb+(calagedatem+12*cpt)*hstepm/YEARM*stepm-1)];
1.126     brouard  7091:            }
1.218     brouard  7092:            
                   7093:            if (h==(int)(calagedatem+12*cpt))
                   7094:              for(j=1; j<=nlstate;j++) 
                   7095:                fprintf(ficrespop," %15.2f",tabpopprev[(int)(agedeb+1)][j][cptcod]);
1.126     brouard  7096:          }
                   7097:          free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   7098:        }
                   7099:       }
1.218     brouard  7100:       
                   7101:       /******/
                   7102:       
1.126     brouard  7103:       for (cpt=1; cpt<=(anpyram1-anpyram);cpt++) { 
                   7104:        fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);   
                   7105:        for (agedeb=(fage-((int)calagedatem %12/12.)); agedeb>=(ageminpar-((int)calagedatem %12)/12.); agedeb--){ 
                   7106:          nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); 
                   7107:          nhstepm = nhstepm/hstepm; 
                   7108:          
                   7109:          p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   7110:          oldm=oldms;savm=savms;
                   7111:          hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);  
                   7112:          for (h=0; h<=nhstepm; h++){
                   7113:            if (h==(int) (calagedatem+YEARM*cpt)) {
                   7114:              fprintf(ficresf,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm);
                   7115:            } 
                   7116:            for(j=1; j<=nlstate+ndeath;j++) {
                   7117:              kk1=0.;kk2=0;
                   7118:              for(i=1; i<=nlstate;i++) {              
                   7119:                kk1=kk1+p3mat[i][j][h]*tabpopprev[(int)agedeb+1][i][cptcod];    
                   7120:              }
                   7121:              if (h==(int)(calagedatem+12*cpt)) fprintf(ficresf," %15.2f", kk1);        
                   7122:            }
                   7123:          }
                   7124:          free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   7125:        }
                   7126:       }
1.218     brouard  7127:     } 
1.126     brouard  7128:   }
1.218     brouard  7129:   
                   7130:   /* if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); */
                   7131:   
1.126     brouard  7132:   if (popforecast==1) {
                   7133:     free_ivector(popage,0,AGESUP);
                   7134:     free_vector(popeffectif,0,AGESUP);
                   7135:     free_vector(popcount,0,AGESUP);
                   7136:   }
                   7137:   free_ma3x(tabpop,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   7138:   free_ma3x(tabpopprev,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   7139:   fclose(ficrespop);
                   7140: } /* End of popforecast */
1.218     brouard  7141:  
1.126     brouard  7142: int fileappend(FILE *fichier, char *optionfich)
                   7143: {
                   7144:   if((fichier=fopen(optionfich,"a"))==NULL) {
                   7145:     printf("Problem with file: %s\n", optionfich);
                   7146:     fprintf(ficlog,"Problem with file: %s\n", optionfich);
                   7147:     return (0);
                   7148:   }
                   7149:   fflush(fichier);
                   7150:   return (1);
                   7151: }
                   7152: 
                   7153: 
                   7154: /**************** function prwizard **********************/
                   7155: void prwizard(int ncovmodel, int nlstate, int ndeath,  char model[], FILE *ficparo)
                   7156: {
                   7157: 
                   7158:   /* Wizard to print covariance matrix template */
                   7159: 
1.164     brouard  7160:   char ca[32], cb[32];
                   7161:   int i,j, k, li, lj, lk, ll, jj, npar, itimes;
1.126     brouard  7162:   int numlinepar;
                   7163: 
                   7164:   printf("# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   7165:   fprintf(ficparo,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   7166:   for(i=1; i <=nlstate; i++){
                   7167:     jj=0;
                   7168:     for(j=1; j <=nlstate+ndeath; j++){
                   7169:       if(j==i) continue;
                   7170:       jj++;
                   7171:       /*ca[0]= k+'a'-1;ca[1]='\0';*/
                   7172:       printf("%1d%1d",i,j);
                   7173:       fprintf(ficparo,"%1d%1d",i,j);
                   7174:       for(k=1; k<=ncovmodel;k++){
                   7175:        /*        printf(" %lf",param[i][j][k]); */
                   7176:        /*        fprintf(ficparo," %lf",param[i][j][k]); */
                   7177:        printf(" 0.");
                   7178:        fprintf(ficparo," 0.");
                   7179:       }
                   7180:       printf("\n");
                   7181:       fprintf(ficparo,"\n");
                   7182:     }
                   7183:   }
                   7184:   printf("# Scales (for hessian or gradient estimation)\n");
                   7185:   fprintf(ficparo,"# Scales (for hessian or gradient estimation)\n");
                   7186:   npar= (nlstate+ndeath-1)*nlstate*ncovmodel; /* Number of parameters*/ 
                   7187:   for(i=1; i <=nlstate; i++){
                   7188:     jj=0;
                   7189:     for(j=1; j <=nlstate+ndeath; j++){
                   7190:       if(j==i) continue;
                   7191:       jj++;
                   7192:       fprintf(ficparo,"%1d%1d",i,j);
                   7193:       printf("%1d%1d",i,j);
                   7194:       fflush(stdout);
                   7195:       for(k=1; k<=ncovmodel;k++){
                   7196:        /*      printf(" %le",delti3[i][j][k]); */
                   7197:        /*      fprintf(ficparo," %le",delti3[i][j][k]); */
                   7198:        printf(" 0.");
                   7199:        fprintf(ficparo," 0.");
                   7200:       }
                   7201:       numlinepar++;
                   7202:       printf("\n");
                   7203:       fprintf(ficparo,"\n");
                   7204:     }
                   7205:   }
                   7206:   printf("# Covariance matrix\n");
                   7207: /* # 121 Var(a12)\n\ */
                   7208: /* # 122 Cov(b12,a12) Var(b12)\n\ */
                   7209: /* # 131 Cov(a13,a12) Cov(a13,b12, Var(a13)\n\ */
                   7210: /* # 132 Cov(b13,a12) Cov(b13,b12, Cov(b13,a13) Var(b13)\n\ */
                   7211: /* # 212 Cov(a21,a12) Cov(a21,b12, Cov(a21,a13) Cov(a21,b13) Var(a21)\n\ */
                   7212: /* # 212 Cov(b21,a12) Cov(b21,b12, Cov(b21,a13) Cov(b21,b13) Cov(b21,a21) Var(b21)\n\ */
                   7213: /* # 232 Cov(a23,a12) Cov(a23,b12, Cov(a23,a13) Cov(a23,b13) Cov(a23,a21) Cov(a23,b21) Var(a23)\n\ */
                   7214: /* # 232 Cov(b23,a12) Cov(b23,b12) ... Var (b23)\n" */
                   7215:   fflush(stdout);
                   7216:   fprintf(ficparo,"# Covariance matrix\n");
                   7217:   /* # 121 Var(a12)\n\ */
                   7218:   /* # 122 Cov(b12,a12) Var(b12)\n\ */
                   7219:   /* #   ...\n\ */
                   7220:   /* # 232 Cov(b23,a12)  Cov(b23,b12) ... Var (b23)\n" */
                   7221:   
                   7222:   for(itimes=1;itimes<=2;itimes++){
                   7223:     jj=0;
                   7224:     for(i=1; i <=nlstate; i++){
                   7225:       for(j=1; j <=nlstate+ndeath; j++){
                   7226:        if(j==i) continue;
                   7227:        for(k=1; k<=ncovmodel;k++){
                   7228:          jj++;
                   7229:          ca[0]= k+'a'-1;ca[1]='\0';
                   7230:          if(itimes==1){
                   7231:            printf("#%1d%1d%d",i,j,k);
                   7232:            fprintf(ficparo,"#%1d%1d%d",i,j,k);
                   7233:          }else{
                   7234:            printf("%1d%1d%d",i,j,k);
                   7235:            fprintf(ficparo,"%1d%1d%d",i,j,k);
                   7236:            /*  printf(" %.5le",matcov[i][j]); */
                   7237:          }
                   7238:          ll=0;
                   7239:          for(li=1;li <=nlstate; li++){
                   7240:            for(lj=1;lj <=nlstate+ndeath; lj++){
                   7241:              if(lj==li) continue;
                   7242:              for(lk=1;lk<=ncovmodel;lk++){
                   7243:                ll++;
                   7244:                if(ll<=jj){
                   7245:                  cb[0]= lk +'a'-1;cb[1]='\0';
                   7246:                  if(ll<jj){
                   7247:                    if(itimes==1){
                   7248:                      printf(" Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   7249:                      fprintf(ficparo," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   7250:                    }else{
                   7251:                      printf(" 0.");
                   7252:                      fprintf(ficparo," 0.");
                   7253:                    }
                   7254:                  }else{
                   7255:                    if(itimes==1){
                   7256:                      printf(" Var(%s%1d%1d)",ca,i,j);
                   7257:                      fprintf(ficparo," Var(%s%1d%1d)",ca,i,j);
                   7258:                    }else{
                   7259:                      printf(" 0.");
                   7260:                      fprintf(ficparo," 0.");
                   7261:                    }
                   7262:                  }
                   7263:                }
                   7264:              } /* end lk */
                   7265:            } /* end lj */
                   7266:          } /* end li */
                   7267:          printf("\n");
                   7268:          fprintf(ficparo,"\n");
                   7269:          numlinepar++;
                   7270:        } /* end k*/
                   7271:       } /*end j */
                   7272:     } /* end i */
                   7273:   } /* end itimes */
                   7274: 
                   7275: } /* end of prwizard */
                   7276: /******************* Gompertz Likelihood ******************************/
                   7277: double gompertz(double x[])
                   7278: { 
                   7279:   double A,B,L=0.0,sump=0.,num=0.;
                   7280:   int i,n=0; /* n is the size of the sample */
                   7281: 
1.220     brouard  7282:   for (i=1;i<=imx ; i++) {
1.126     brouard  7283:     sump=sump+weight[i];
                   7284:     /*    sump=sump+1;*/
                   7285:     num=num+1;
                   7286:   }
                   7287:  
                   7288:  
                   7289:   /* for (i=0; i<=imx; i++) 
                   7290:      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]);*/
                   7291: 
                   7292:   for (i=1;i<=imx ; i++)
                   7293:     {
                   7294:       if (cens[i] == 1 && wav[i]>1)
                   7295:        A=-x[1]/(x[2])*(exp(x[2]*(agecens[i]-agegomp))-exp(x[2]*(ageexmed[i]-agegomp)));
                   7296:       
                   7297:       if (cens[i] == 0 && wav[i]>1)
                   7298:        A=-x[1]/(x[2])*(exp(x[2]*(agedc[i]-agegomp))-exp(x[2]*(ageexmed[i]-agegomp)))
                   7299:             +log(x[1]/YEARM)+x[2]*(agedc[i]-agegomp)+log(YEARM);  
                   7300:       
                   7301:       /*if (wav[i] > 1 && agecens[i] > 15) {*/ /* ??? */
                   7302:       if (wav[i] > 1 ) { /* ??? */
                   7303:        L=L+A*weight[i];
                   7304:        /*      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]);*/
                   7305:       }
                   7306:     }
                   7307: 
                   7308:  /*printf("x1=%2.9f x2=%2.9f x3=%2.9f L=%f\n",x[1],x[2],x[3],L);*/
                   7309:  
                   7310:   return -2*L*num/sump;
                   7311: }
                   7312: 
1.136     brouard  7313: #ifdef GSL
                   7314: /******************* Gompertz_f Likelihood ******************************/
                   7315: double gompertz_f(const gsl_vector *v, void *params)
                   7316: { 
                   7317:   double A,B,LL=0.0,sump=0.,num=0.;
                   7318:   double *x= (double *) v->data;
                   7319:   int i,n=0; /* n is the size of the sample */
                   7320: 
                   7321:   for (i=0;i<=imx-1 ; i++) {
                   7322:     sump=sump+weight[i];
                   7323:     /*    sump=sump+1;*/
                   7324:     num=num+1;
                   7325:   }
                   7326:  
                   7327:  
                   7328:   /* for (i=0; i<=imx; i++) 
                   7329:      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]);*/
                   7330:   printf("x[0]=%lf x[1]=%lf\n",x[0],x[1]);
                   7331:   for (i=1;i<=imx ; i++)
                   7332:     {
                   7333:       if (cens[i] == 1 && wav[i]>1)
                   7334:        A=-x[0]/(x[1])*(exp(x[1]*(agecens[i]-agegomp))-exp(x[1]*(ageexmed[i]-agegomp)));
                   7335:       
                   7336:       if (cens[i] == 0 && wav[i]>1)
                   7337:        A=-x[0]/(x[1])*(exp(x[1]*(agedc[i]-agegomp))-exp(x[1]*(ageexmed[i]-agegomp)))
                   7338:             +log(x[0]/YEARM)+x[1]*(agedc[i]-agegomp)+log(YEARM);  
                   7339:       
                   7340:       /*if (wav[i] > 1 && agecens[i] > 15) {*/ /* ??? */
                   7341:       if (wav[i] > 1 ) { /* ??? */
                   7342:        LL=LL+A*weight[i];
                   7343:        /*      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]);*/
                   7344:       }
                   7345:     }
                   7346: 
                   7347:  /*printf("x1=%2.9f x2=%2.9f x3=%2.9f L=%f\n",x[1],x[2],x[3],L);*/
                   7348:   printf("x[0]=%lf x[1]=%lf -2*LL*num/sump=%lf\n",x[0],x[1],-2*LL*num/sump);
                   7349:  
                   7350:   return -2*LL*num/sump;
                   7351: }
                   7352: #endif
                   7353: 
1.126     brouard  7354: /******************* Printing html file ***********/
1.201     brouard  7355: void printinghtmlmort(char fileresu[], char title[], char datafile[], int firstpass, \
1.126     brouard  7356:                  int lastpass, int stepm, int weightopt, char model[],\
                   7357:                  int imx,  double p[],double **matcov,double agemortsup){
                   7358:   int i,k;
                   7359: 
                   7360:   fprintf(fichtm,"<ul><li><h4>Result files </h4>\n Force of mortality. Parameters of the Gompertz fit (with confidence interval in brackets):<br>");
                   7361:   fprintf(fichtm,"  mu(age) =%lf*exp(%lf*(age-%d)) per year<br><br>",p[1],p[2],agegomp);
                   7362:   for (i=1;i<=2;i++) 
                   7363:     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  7364:   fprintf(fichtm,"<br><br><img src=\"graphmort.svg\">");
1.126     brouard  7365:   fprintf(fichtm,"</ul>");
                   7366: 
                   7367: fprintf(fichtm,"<ul><li><h4>Life table</h4>\n <br>");
                   7368: 
                   7369:  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>");
                   7370: 
                   7371:  for (k=agegomp;k<(agemortsup-2);k++) 
                   7372:    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]);
                   7373: 
                   7374:  
                   7375:   fflush(fichtm);
                   7376: }
                   7377: 
                   7378: /******************* Gnuplot file **************/
1.201     brouard  7379: void printinggnuplotmort(char fileresu[], char optionfilefiname[], double ageminpar, double agemaxpar, double fage , char pathc[], double p[]){
1.126     brouard  7380: 
                   7381:   char dirfileres[132],optfileres[132];
1.164     brouard  7382: 
1.126     brouard  7383:   int ng;
                   7384: 
                   7385: 
                   7386:   /*#ifdef windows */
                   7387:   fprintf(ficgp,"cd \"%s\" \n",pathc);
                   7388:     /*#endif */
                   7389: 
                   7390: 
                   7391:   strcpy(dirfileres,optionfilefiname);
                   7392:   strcpy(optfileres,"vpl");
1.199     brouard  7393:   fprintf(ficgp,"set out \"graphmort.svg\"\n "); 
1.126     brouard  7394:   fprintf(ficgp,"set xlabel \"Age\"\n set ylabel \"Force of mortality (per year)\" \n "); 
1.199     brouard  7395:   fprintf(ficgp, "set ter svg size 640, 480\n set log y\n"); 
1.145     brouard  7396:   /* fprintf(ficgp, "set size 0.65,0.65\n"); */
1.126     brouard  7397:   fprintf(ficgp,"plot [%d:100] %lf*exp(%lf*(x-%d))",agegomp,p[1],p[2],agegomp);
                   7398: 
                   7399: } 
                   7400: 
1.136     brouard  7401: int readdata(char datafile[], int firstobs, int lastobs, int *imax)
                   7402: {
1.126     brouard  7403: 
1.136     brouard  7404:   /*-------- data file ----------*/
                   7405:   FILE *fic;
                   7406:   char dummy[]="                         ";
1.223     brouard  7407:   int i=0, j=0, n=0, iv=0;
                   7408:   int lstra;
1.136     brouard  7409:   int linei, month, year,iout;
                   7410:   char line[MAXLINE], linetmp[MAXLINE];
1.164     brouard  7411:   char stra[MAXLINE], strb[MAXLINE];
1.136     brouard  7412:   char *stratrunc;
1.223     brouard  7413: 
1.126     brouard  7414: 
                   7415: 
1.136     brouard  7416:   if((fic=fopen(datafile,"r"))==NULL)    {
1.218     brouard  7417:     printf("Problem while opening datafile: %s with errno='%s'\n", datafile,strerror(errno));fflush(stdout);
                   7418:     fprintf(ficlog,"Problem while opening datafile: %s with errno='%s'\n", datafile,strerror(errno));fflush(ficlog);return 1;
1.136     brouard  7419:   }
1.126     brouard  7420: 
1.136     brouard  7421:   i=1;
                   7422:   linei=0;
                   7423:   while ((fgets(line, MAXLINE, fic) != NULL) &&((i >= firstobs) && (i <=lastobs))) {
                   7424:     linei=linei+1;
                   7425:     for(j=strlen(line); j>=0;j--){  /* Untabifies line */
                   7426:       if(line[j] == '\t')
                   7427:        line[j] = ' ';
                   7428:     }
                   7429:     for(j=strlen(line)-1; (line[j]==' ')||(line[j]==10)||(line[j]==13);j--){
                   7430:       ;
                   7431:     };
                   7432:     line[j+1]=0;  /* Trims blanks at end of line */
                   7433:     if(line[0]=='#'){
                   7434:       fprintf(ficlog,"Comment line\n%s\n",line);
                   7435:       printf("Comment line\n%s\n",line);
                   7436:       continue;
                   7437:     }
                   7438:     trimbb(linetmp,line); /* Trims multiple blanks in line */
1.164     brouard  7439:     strcpy(line, linetmp);
1.223     brouard  7440:     
                   7441:     /* Loops on waves */
                   7442:     for (j=maxwav;j>=1;j--){
                   7443:       for (iv=nqtv;iv>=1;iv--){  /* Loop  on time varying quantitative variables */
1.225     brouard  7444:        cutv(stra, strb, line, ' '); 
                   7445:        if(strb[0]=='.') { /* Missing value */
                   7446:          lval=-1;
                   7447:          cotqvar[j][iv][i]=-1; /* 0.0/0.0 */
                   7448:          if(isalpha(strb[1])) { /* .m or .d Really Missing value */
                   7449:            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);
                   7450:            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);
                   7451:            return 1;
                   7452:          }
                   7453:        }else{
                   7454:          errno=0;
                   7455:          /* what_kind_of_number(strb); */
                   7456:          dval=strtod(strb,&endptr); 
                   7457:          /* if( strb[0]=='\0' || (*endptr != '\0')){ */
                   7458:          /* if(strb != endptr && *endptr == '\0') */
                   7459:          /*    dval=dlval; */
                   7460:          /* if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN)) */
                   7461:          if( strb[0]=='\0' || (*endptr != '\0')){
                   7462:            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);
                   7463:            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);
                   7464:            return 1;
                   7465:          }
                   7466:          cotqvar[j][iv][i]=dval; 
                   7467:        }
                   7468:        strcpy(line,stra);
1.223     brouard  7469:       }/* end loop ntqv */
1.225     brouard  7470:       
1.223     brouard  7471:       for (iv=ntv;iv>=1;iv--){  /* Loop  on time varying dummies */
1.225     brouard  7472:        cutv(stra, strb, line, ' '); 
                   7473:        if(strb[0]=='.') { /* Missing value */
                   7474:          lval=-1;
                   7475:        }else{
                   7476:          errno=0;
                   7477:          lval=strtol(strb,&endptr,10); 
                   7478:          /*    if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN))*/
                   7479:          if( strb[0]=='\0' || (*endptr != '\0')){
                   7480:            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);
                   7481:            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);
                   7482:            return 1;
                   7483:          }
                   7484:        }
                   7485:        if(lval <-1 || lval >1){
                   7486:          printf("Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
1.223     brouard  7487:  Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
                   7488:  for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
1.225     brouard  7489:  For example, for multinomial values like 1, 2 and 3,\n                        \
                   7490:  build V1=0 V2=0 for the reference value (1),\n                                \
                   7491:         V1=1 V2=0 for (2) \n                                           \
1.223     brouard  7492:  and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
1.225     brouard  7493:  output of IMaCh is often meaningless.\n                               \
1.223     brouard  7494:  Exiting.\n",lval,linei, i,line,j);
1.225     brouard  7495:          fprintf(ficlog,"Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
1.223     brouard  7496:  Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
                   7497:  for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
1.225     brouard  7498:  For example, for multinomial values like 1, 2 and 3,\n                        \
                   7499:  build V1=0 V2=0 for the reference value (1),\n                                \
                   7500:         V1=1 V2=0 for (2) \n                                           \
1.223     brouard  7501:  and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
                   7502:  output of IMaCh is often meaningless.\n                               \
                   7503:  Exiting.\n",lval,linei, i,line,j);fflush(ficlog);
1.225     brouard  7504:          return 1;
                   7505:        }
                   7506:        cotvar[j][iv][i]=(double)(lval);
                   7507:        strcpy(line,stra);
1.223     brouard  7508:       }/* end loop ntv */
1.225     brouard  7509:       
1.223     brouard  7510:       /* Statuses  at wave */
1.137     brouard  7511:       cutv(stra, strb, line, ' '); 
1.223     brouard  7512:       if(strb[0]=='.') { /* Missing value */
1.225     brouard  7513:        lval=-1;
1.136     brouard  7514:       }else{
1.225     brouard  7515:        errno=0;
                   7516:        lval=strtol(strb,&endptr,10); 
                   7517:        /*      if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN))*/
                   7518:        if( strb[0]=='\0' || (*endptr != '\0')){
                   7519:          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);
                   7520:          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);
                   7521:          return 1;
                   7522:        }
1.136     brouard  7523:       }
1.225     brouard  7524:       
1.136     brouard  7525:       s[j][i]=lval;
1.225     brouard  7526:       
1.223     brouard  7527:       /* Date of Interview */
1.136     brouard  7528:       strcpy(line,stra);
                   7529:       cutv(stra, strb,line,' ');
1.169     brouard  7530:       if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
1.136     brouard  7531:       }
1.169     brouard  7532:       else  if( (iout=sscanf(strb,"%s.",dummy)) != 0){
1.225     brouard  7533:        month=99;
                   7534:        year=9999;
1.136     brouard  7535:       }else{
1.225     brouard  7536:        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);
                   7537:        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);
                   7538:        return 1;
1.136     brouard  7539:       }
                   7540:       anint[j][i]= (double) year; 
                   7541:       mint[j][i]= (double)month; 
                   7542:       strcpy(line,stra);
1.223     brouard  7543:     } /* End loop on waves */
1.225     brouard  7544:     
1.223     brouard  7545:     /* Date of death */
1.136     brouard  7546:     cutv(stra, strb,line,' '); 
1.169     brouard  7547:     if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
1.136     brouard  7548:     }
1.169     brouard  7549:     else  if( (iout=sscanf(strb,"%s.",dummy)) != 0){
1.136     brouard  7550:       month=99;
                   7551:       year=9999;
                   7552:     }else{
1.141     brouard  7553:       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  7554:       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);
                   7555:       return 1;
1.136     brouard  7556:     }
                   7557:     andc[i]=(double) year; 
                   7558:     moisdc[i]=(double) month; 
                   7559:     strcpy(line,stra);
                   7560:     
1.223     brouard  7561:     /* Date of birth */
1.136     brouard  7562:     cutv(stra, strb,line,' '); 
1.169     brouard  7563:     if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
1.136     brouard  7564:     }
1.169     brouard  7565:     else  if( (iout=sscanf(strb,"%s.", dummy)) != 0){
1.136     brouard  7566:       month=99;
                   7567:       year=9999;
                   7568:     }else{
1.141     brouard  7569:       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);
                   7570:       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  7571:       return 1;
1.136     brouard  7572:     }
                   7573:     if (year==9999) {
1.141     brouard  7574:       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);
                   7575:       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  7576:       return 1;
                   7577:       
1.136     brouard  7578:     }
                   7579:     annais[i]=(double)(year);
                   7580:     moisnais[i]=(double)(month); 
                   7581:     strcpy(line,stra);
1.225     brouard  7582:     
1.223     brouard  7583:     /* Sample weight */
1.136     brouard  7584:     cutv(stra, strb,line,' '); 
                   7585:     errno=0;
                   7586:     dval=strtod(strb,&endptr); 
                   7587:     if( strb[0]=='\0' || (*endptr != '\0')){
1.141     brouard  7588:       printf("Error reading data around '%f' at line number %d, \"%s\" for individual %d\nShould be a weight.  Exiting.\n",dval, i,line,linei);
                   7589:       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  7590:       fflush(ficlog);
                   7591:       return 1;
                   7592:     }
                   7593:     weight[i]=dval; 
                   7594:     strcpy(line,stra);
1.225     brouard  7595:     
1.223     brouard  7596:     for (iv=nqv;iv>=1;iv--){  /* Loop  on fixed quantitative variables */
                   7597:       cutv(stra, strb, line, ' '); 
                   7598:       if(strb[0]=='.') { /* Missing value */
1.225     brouard  7599:        lval=-1;
1.223     brouard  7600:       }else{
1.225     brouard  7601:        errno=0;
                   7602:        /* what_kind_of_number(strb); */
                   7603:        dval=strtod(strb,&endptr);
                   7604:        /* if(strb != endptr && *endptr == '\0') */
                   7605:        /*   dval=dlval; */
                   7606:        /* if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN)) */
                   7607:        if( strb[0]=='\0' || (*endptr != '\0')){
                   7608:          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);
                   7609:          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);
                   7610:          return 1;
                   7611:        }
                   7612:        coqvar[iv][i]=dval; 
1.226   ! brouard  7613:        covar[ncovcol+iv][i]=dval; /* including qvar in standard covar for performance reasons */ 
1.223     brouard  7614:       }
                   7615:       strcpy(line,stra);
                   7616:     }/* end loop nqv */
1.136     brouard  7617:     
1.223     brouard  7618:     /* Covariate values */
1.136     brouard  7619:     for (j=ncovcol;j>=1;j--){
                   7620:       cutv(stra, strb,line,' '); 
1.223     brouard  7621:       if(strb[0]=='.') { /* Missing covariate value */
1.225     brouard  7622:        lval=-1;
1.136     brouard  7623:       }else{
1.225     brouard  7624:        errno=0;
                   7625:        lval=strtol(strb,&endptr,10); 
                   7626:        if( strb[0]=='\0' || (*endptr != '\0')){
                   7627:          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);
                   7628:          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);
                   7629:          return 1;
                   7630:        }
1.136     brouard  7631:       }
                   7632:       if(lval <-1 || lval >1){
1.225     brouard  7633:        printf("Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
1.136     brouard  7634:  Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
                   7635:  for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
1.225     brouard  7636:  For example, for multinomial values like 1, 2 and 3,\n                        \
                   7637:  build V1=0 V2=0 for the reference value (1),\n                                \
                   7638:         V1=1 V2=0 for (2) \n                                           \
1.136     brouard  7639:  and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
1.225     brouard  7640:  output of IMaCh is often meaningless.\n                               \
1.136     brouard  7641:  Exiting.\n",lval,linei, i,line,j);
1.225     brouard  7642:        fprintf(ficlog,"Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
1.136     brouard  7643:  Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
                   7644:  for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
1.225     brouard  7645:  For example, for multinomial values like 1, 2 and 3,\n                        \
                   7646:  build V1=0 V2=0 for the reference value (1),\n                                \
                   7647:         V1=1 V2=0 for (2) \n                                           \
1.136     brouard  7648:  and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
1.225     brouard  7649:  output of IMaCh is often meaningless.\n                               \
1.136     brouard  7650:  Exiting.\n",lval,linei, i,line,j);fflush(ficlog);
1.225     brouard  7651:        return 1;
1.136     brouard  7652:       }
                   7653:       covar[j][i]=(double)(lval);
                   7654:       strcpy(line,stra);
                   7655:     }  
                   7656:     lstra=strlen(stra);
1.225     brouard  7657:     
1.136     brouard  7658:     if(lstra > 9){ /* More than 2**32 or max of what printf can write with %ld */
                   7659:       stratrunc = &(stra[lstra-9]);
                   7660:       num[i]=atol(stratrunc);
                   7661:     }
                   7662:     else
                   7663:       num[i]=atol(stra);
                   7664:     /*if((s[2][i]==2) && (s[3][i]==-1)&&(s[4][i]==9)){
                   7665:       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;}*/
                   7666:     
                   7667:     i=i+1;
                   7668:   } /* End loop reading  data */
1.225     brouard  7669:   
1.136     brouard  7670:   *imax=i-1; /* Number of individuals */
                   7671:   fclose(fic);
1.225     brouard  7672:   
1.136     brouard  7673:   return (0);
1.164     brouard  7674:   /* endread: */
1.225     brouard  7675:   printf("Exiting readdata: ");
                   7676:   fclose(fic);
                   7677:   return (1);
1.223     brouard  7678: }
1.126     brouard  7679: 
1.145     brouard  7680: void removespace(char *str) {
                   7681:   char *p1 = str, *p2 = str;
                   7682:   do
                   7683:     while (*p2 == ' ')
                   7684:       p2++;
1.169     brouard  7685:   while (*p1++ == *p2++);
1.145     brouard  7686: }
                   7687: 
1.224     brouard  7688: int decodemodel ( char model[], int lastobs)
                   7689:  /**< This routine decode the model and returns:
                   7690:        * Model  V1+V2+V3+V8+V7*V8+V5*V6+V8*age+V3*age+age*age
                   7691:        * - nagesqr = 1 if age*age in the model, otherwise 0.
                   7692:        * - cptcovt total number of covariates of the model nbocc(+)+1 = 8 excepting constant and age and age*age
                   7693:        * - cptcovn or number of covariates k of the models excluding age*products =6 and age*age
                   7694:        * - cptcovage number of covariates with age*products =2
                   7695:        * - cptcovs number of simple covariates
                   7696:        * - 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
                   7697:        *     which is a new column after the 9 (ncovcol) variables. 
                   7698:        * - if k is a product Vn*Vm covar[k][i] is filled with correct values for each individual
                   7699:        * - Tprod[l] gives the kth covariates of the product Vn*Vm l=1 to cptcovprod-cptcovage
                   7700:        *    Tprod[1]@2 {5, 6}: position of first product V7*V8 is 5, and second V5*V6 is 6.
                   7701:        * - Tvard[k]  p Tvard[1][1]@4 {7, 8, 5, 6} for V7*V8 and V5*V6 .
                   7702:        */
1.136     brouard  7703: {
1.145     brouard  7704:   int i, j, k, ks;
1.164     brouard  7705:   int  j1, k1, k2;
1.136     brouard  7706:   char modelsav[80];
1.145     brouard  7707:   char stra[80], strb[80], strc[80], strd[80],stre[80];
1.187     brouard  7708:   char *strpt;
1.136     brouard  7709: 
1.145     brouard  7710:   /*removespace(model);*/
1.136     brouard  7711:   if (strlen(model) >1){ /* If there is at least 1 covariate */
1.145     brouard  7712:     j=0, j1=0, k1=0, k2=-1, ks=0, cptcovn=0;
1.137     brouard  7713:     if (strstr(model,"AGE") !=0){
1.192     brouard  7714:       printf("Error. AGE must be in lower case 'age' model=1+age+%s. ",model);
                   7715:       fprintf(ficlog,"Error. AGE must be in lower case model=1+age+%s. ",model);fflush(ficlog);
1.136     brouard  7716:       return 1;
                   7717:     }
1.141     brouard  7718:     if (strstr(model,"v") !=0){
                   7719:       printf("Error. 'v' must be in upper case 'V' model=%s ",model);
                   7720:       fprintf(ficlog,"Error. 'v' must be in upper case model=%s ",model);fflush(ficlog);
                   7721:       return 1;
                   7722:     }
1.187     brouard  7723:     strcpy(modelsav,model); 
                   7724:     if ((strpt=strstr(model,"age*age")) !=0){
                   7725:       printf(" strpt=%s, model=%s\n",strpt, model);
                   7726:       if(strpt != model){
1.225     brouard  7727:        printf("Error in model: 'model=%s'; 'age*age' should in first place before other covariates\n \
1.192     brouard  7728:  'model=1+age+age*age+V1.' or 'model=1+age+age*age+V1+V1*age.', please swap as well as \n \
1.187     brouard  7729:  corresponding column of parameters.\n",model);
1.225     brouard  7730:        fprintf(ficlog,"Error in model: 'model=%s'; 'age*age' should in first place before other covariates\n \
1.192     brouard  7731:  'model=1+age+age*age+V1.' or 'model=1+age+age*age+V1+V1*age.', please swap as well as \n \
1.187     brouard  7732:  corresponding column of parameters.\n",model); fflush(ficlog);
1.225     brouard  7733:        return 1;
                   7734:       }
1.187     brouard  7735:       nagesqr=1;
                   7736:       if (strstr(model,"+age*age") !=0)
1.225     brouard  7737:        substrchaine(modelsav, model, "+age*age");
1.187     brouard  7738:       else if (strstr(model,"age*age+") !=0)
1.225     brouard  7739:        substrchaine(modelsav, model, "age*age+");
1.187     brouard  7740:       else 
1.225     brouard  7741:        substrchaine(modelsav, model, "age*age");
1.187     brouard  7742:     }else
                   7743:       nagesqr=0;
                   7744:     if (strlen(modelsav) >1){
                   7745:       j=nbocc(modelsav,'+'); /**< j=Number of '+' */
                   7746:       j1=nbocc(modelsav,'*'); /**< j1=Number of '*' */
1.224     brouard  7747:       cptcovs=j+1-j1; /**<  Number of simple covariates V1+V1*age+V3 +V3*V4+age*age=> V1 + V3 =5-3=2  */
1.187     brouard  7748:       cptcovt= j+1; /* Number of total covariates in the model, not including
1.225     brouard  7749:                     * cst, age and age*age 
                   7750:                     * V1+V1*age+ V3 + V3*V4+age*age=> 3+1=4*/
                   7751:       /* including age products which are counted in cptcovage.
                   7752:        * but the covariates which are products must be treated 
                   7753:        * separately: ncovn=4- 2=2 (V1+V3). */
1.187     brouard  7754:       cptcovprod=j1; /**< Number of products  V1*V2 +v3*age = 2 */
                   7755:       cptcovprodnoage=0; /**< Number of covariate products without age: V3*V4 =1  */
1.225     brouard  7756:       
                   7757:       
1.187     brouard  7758:       /*   Design
                   7759:        *  V1   V2   V3   V4  V5  V6  V7  V8  V9 Weight
                   7760:        *  <          ncovcol=8                >
                   7761:        * Model V2 + V1 + V3*age + V3 + V5*V6 + V7*V8 + V8*age + V8
                   7762:        *   k=  1    2      3       4     5       6      7        8
                   7763:        *  cptcovn number of covariates (not including constant and age ) = # of + plus 1 = 7+1=8
                   7764:        *  covar[k,i], value of kth covariate if not including age for individual i:
1.224     brouard  7765:        *       covar[1][i]= (V1), covar[4][i]=(V4), covar[8][i]=(V8)
                   7766:        *  Tvar[k] # of the kth covariate:  Tvar[1]=2  Tvar[2]=1 Tvar[4]=3 Tvar[8]=8
1.187     brouard  7767:        *       if multiplied by age: V3*age Tvar[3=V3*age]=3 (V3) Tvar[7]=8 and 
                   7768:        *  Tage[++cptcovage]=k
                   7769:        *       if products, new covar are created after ncovcol with k1
                   7770:        *  Tvar[k]=ncovcol+k1; # of the kth covariate product:  Tvar[5]=ncovcol+1=10  Tvar[6]=ncovcol+1=11
                   7771:        *  Tprod[k1]=k; Tprod[1]=5 Tprod[2]= 6; gives the position of the k1th product
                   7772:        *  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
                   7773:        *  Tvar[cptcovn+k2]=Tvard[k1][1];Tvar[cptcovn+k2+1]=Tvard[k1][2];
                   7774:        *  Tvar[8+1]=5;Tvar[8+2]=6;Tvar[8+3]=7;Tvar[8+4]=8 inverted
                   7775:        *  V1   V2   V3   V4  V5  V6  V7  V8  V9  V10  V11
                   7776:        *  <          ncovcol=8                >
                   7777:        *       Model V2 + V1 + V3*age + V3 + V5*V6 + V7*V8 + V8*age + V8    d1   d1   d2  d2
                   7778:        *          k=  1    2      3       4     5       6      7        8    9   10   11  12
                   7779:        *     Tvar[k]= 2    1      3       3    10      11      8        8    5    6    7   8
                   7780:        * p Tvar[1]@12={2,   1,     3,      3,   11,     10,     8,       8,   7,   8,   5,  6}
                   7781:        * p Tprod[1]@2={                         6, 5}
                   7782:        *p Tvard[1][1]@4= {7, 8, 5, 6}
                   7783:        * covar[k][i]= V2   V1      ?      V3    V5*V6?   V7*V8?  ?       V8   
                   7784:        *  cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
                   7785:        *How to reorganize?
                   7786:        * Model V1 + V2 + V3 + V8 + V5*V6 + V7*V8 + V3*age + V8*age
                   7787:        * Tvars {2,   1,     3,      3,   11,     10,     8,       8,   7,   8,   5,  6}
                   7788:        *       {2,   1,     4,      8,    5,      6,     3,       7}
                   7789:        * Struct []
                   7790:        */
1.225     brouard  7791:       
1.187     brouard  7792:       /* This loop fills the array Tvar from the string 'model'.*/
                   7793:       /* j is the number of + signs in the model V1+V2+V3 j=2 i=3 to 1 */
                   7794:       /*   modelsav=V2+V1+V4+age*V3 strb=age*V3 stra=V2+V1+V4  */
                   7795:       /*       k=4 (age*V3) Tvar[k=4]= 3 (from V3) Tage[cptcovage=1]=4 */
                   7796:       /*       k=3 V4 Tvar[k=3]= 4 (from V4) */
                   7797:       /*       k=2 V1 Tvar[k=2]= 1 (from V1) */
                   7798:       /*       k=1 Tvar[1]=2 (from V2) */
                   7799:       /*       k=5 Tvar[5] */
                   7800:       /* for (k=1; k<=cptcovn;k++) { */
1.198     brouard  7801:       /*       cov[2+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
1.187     brouard  7802:       /*       } */
1.198     brouard  7803:       /* for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,Tvar[Tage[k])]]*cov[2]; */
1.187     brouard  7804:       /*
                   7805:        * Treating invertedly V2+V1+V3*age+V2*V4 is as if written V2*V4 +V3*age + V1 + V2 */
1.225     brouard  7806:       for(k=cptcovt; k>=1;k--) /**< Number of covariates not including constant and age, neither age*age*/
1.145     brouard  7807:         Tvar[k]=0;
1.187     brouard  7808:       cptcovage=0;
                   7809:       for(k=1; k<=cptcovt;k++){ /* Loop on total covariates of the model */
1.225     brouard  7810:        cutl(stra,strb,modelsav,'+'); /* keeps in strb after the first '+' 
                   7811:                                         modelsav==V2+V1+V4+V3*age strb=V3*age stra=V2+V1+V4 */ 
                   7812:        if (nbocc(modelsav,'+')==0) strcpy(strb,modelsav); /* and analyzes it */
                   7813:        /*      printf("i=%d a=%s b=%s sav=%s\n",i, stra,strb,modelsav);*/
                   7814:        /*scanf("%d",i);*/
                   7815:        if (strchr(strb,'*')) {  /**< Model includes a product V2+V1+V4+V3*age strb=V3*age */
                   7816:          cutl(strc,strd,strb,'*'); /**< strd*strc  Vm*Vn: strb=V3*age(input) strc=age strd=V3 ; V3*V2 strc=V2, strd=V3 */
                   7817:          if (strcmp(strc,"age")==0) { /**< Model includes age: Vn*age */
                   7818:            /* covar is not filled and then is empty */
                   7819:            cptcovprod--;
                   7820:            cutl(stre,strb,strd,'V'); /* strd=V3(input): stre="3" */
                   7821:            Tvar[k]=atoi(stre);  /* V2+V1+V4+V3*age Tvar[4]=3 ; V1+V2*age Tvar[2]=2; V1+V1*age Tvar[2]=1 */
1.226   ! brouard  7822:            Typevar[k]=1;  /* 1 for age product */
1.225     brouard  7823:            cptcovage++; /* Sums the number of covariates which include age as a product */
                   7824:            Tage[cptcovage]=k;  /* Tvar[4]=3, Tage[1] = 4 or V1+V1*age Tvar[2]=1, Tage[1]=2 */
                   7825:            /*printf("stre=%s ", stre);*/
                   7826:          } else if (strcmp(strd,"age")==0) { /* or age*Vn */
                   7827:            cptcovprod--;
                   7828:            cutl(stre,strb,strc,'V');
                   7829:            Tvar[k]=atoi(stre);
                   7830:            Typevar[k]=1;  /* 1 for age product */
                   7831:            cptcovage++;
                   7832:            Tage[cptcovage]=k;
                   7833:          } else {  /* Age is not in the model product V2+V1+V1*V4+V3*age+V3*V2  strb=V3*V2*/
                   7834:            /* loops on k1=1 (V3*V2) and k1=2 V4*V3 */
                   7835:            cptcovn++;
                   7836:            cptcovprodnoage++;k1++;
                   7837:            cutl(stre,strb,strc,'V'); /* strc= Vn, stre is n; strb=V3*V2 stre=3 strc=*/
                   7838:            Tvar[k]=ncovcol+nqv+ntv+nqtv+k1; /* For model-covariate k tells which data-covariate to use but
                   7839:                                   because this model-covariate is a construction we invent a new column
                   7840:                                   which is after existing variables ncovcol+nqv+ntv+nqtv + k1
                   7841:                                   If already ncovcol=4 and model=V2+V1+V1*V4+age*V3+V3*V2
                   7842:                                   Tvar[3=V1*V4]=4+1 Tvar[5=V3*V2]=4 + 2= 6, etc */
                   7843:            Typevar[k]=2;  /* 2 for double fixed dummy covariates */
                   7844:            cutl(strc,strb,strd,'V'); /* strd was Vm, strc is m */
                   7845:            Tprod[k1]=k;  /* Tprod[1]=3(=V1*V4) for V2+V1+V1*V4+age*V3+V3*V2  */
                   7846:            Tvard[k1][1] =atoi(strc); /* m 1 for V1*/
                   7847:            Tvard[k1][2] =atoi(stre); /* n 4 for V4*/
                   7848:            k2=k2+2;  /* k2 is initialize to -1, We want to store the n and m in Vn*Vm at the end of Tvar */
                   7849:            /* Tvar[cptcovt+k2]=Tvard[k1][1]; /\* Tvar[(cptcovt=4+k2=1)=5]= 1 (V1) *\/ */
                   7850:            /* Tvar[cptcovt+k2+1]=Tvard[k1][2];  /\* Tvar[(cptcovt=4+(k2=1)+1)=6]= 4 (V4) *\/ */
                   7851:             /*ncovcol=4 and model=V2+V1+V1*V4+age*V3+V3*V2, Tvar[3]=5, Tvar[4]=6, cptcovt=5 */
                   7852:            /*                     1  2   3      4     5 | Tvar[5+1)=1, Tvar[7]=2   */
                   7853:            for (i=1; i<=lastobs;i++){
                   7854:              /* Computes the new covariate which is a product of
                   7855:                 covar[n][i]* covar[m][i] and stores it at ncovol+k1 May not be defined */
                   7856:              covar[ncovcol+k1][i]=covar[atoi(stre)][i]*covar[atoi(strc)][i];
                   7857:            }
                   7858:          } /* End age is not in the model */
                   7859:        } /* End if model includes a product */
                   7860:        else { /* no more sum */
                   7861:          /*printf("d=%s c=%s b=%s\n", strd,strc,strb);*/
                   7862:          /*  scanf("%d",i);*/
                   7863:          cutl(strd,strc,strb,'V');
                   7864:          ks++; /**< Number of simple covariates*/
                   7865:          cptcovn++; /** V4+V3+V5: V4 and V3 timevarying dummy covariates, V5 timevarying quantitative */
                   7866:          Tvar[k]=atoi(strd);
                   7867:          Typevar[k]=0;  /* 0 for simple covariates */
                   7868:        }
                   7869:        strcpy(modelsav,stra);  /* modelsav=V2+V1+V4 stra=V2+V1+V4 */ 
1.223     brouard  7870:                                /*printf("a=%s b=%s sav=%s\n", stra,strb,modelsav);
1.225     brouard  7871:                                  scanf("%d",i);*/
1.187     brouard  7872:       } /* end of loop + on total covariates */
                   7873:     } /* end if strlen(modelsave == 0) age*age might exist */
                   7874:   } /* end if strlen(model == 0) */
1.136     brouard  7875:   
                   7876:   /*The number n of Vn is stored in Tvar. cptcovage =number of age covariate. Tage gives the position of age. cptcovprod= number of products.
                   7877:     If model=V1+V1*age then Tvar[1]=1 Tvar[2]=1 cptcovage=1 Tage[1]=2 cptcovprod=0*/
1.225     brouard  7878:   
1.136     brouard  7879:   /* printf("tvar1=%d tvar2=%d tvar3=%d cptcovage=%d Tage=%d",Tvar[1],Tvar[2],Tvar[3],cptcovage,Tage[1]);
1.225     brouard  7880:      printf("cptcovprod=%d ", cptcovprod);
                   7881:      fprintf(ficlog,"cptcovprod=%d ", cptcovprod);
                   7882:      scanf("%d ",i);*/
                   7883: 
                   7884: 
                   7885: /* Decodemodel knows only the grammar (simple, product, age*) of the model but not what kind
                   7886:    of variable (dummy vs quantitative, fixed vs time varying) is behind */
1.226   ! brouard  7887: /* ncovcol= 1, nqv=1 | ntv=2, nqtv= 1  = 5 possible variables data: 2 fixed 3, varying
        !          7888:    model=        V5 + V4 +V3 + V4*V3 + V5*age + V2 + V1*V2 + V1*age + V5*age, V1 is not used saving its place
        !          7889:    k =           1    2   3     4       5       6      7      8        9
        !          7890:    Tvar[k]=      5    4   3 1+1+2+1+1=6 5       2      7      1        5
        !          7891:    Typevar[k]=   0    0   0     2       1       0      2      1        1
        !          7892:    Fixed[Tvar[k]]1    1   1     1       2       0      1      2        3
        !          7893:    Dummy[Tvar[k]]1    0   0     0       2       1      1      2        3
1.225     brouard  7894: */  
                   7895: /* Dispatching between quantitative and time varying covariates */
1.226   ! brouard  7896:   /* If Tvar[k] >ncovcol it is a product */
1.225     brouard  7897:   /* Tvar[k] is the value n of Vn with n varying for 1 to nvcol, or p  Vp=Vn*Vm for product */
1.226   ! brouard  7898:        /* Computing effective variables, ie used by the model, that is from the cptcovt variables */
1.225     brouard  7899:   for(k=1, ncoveff=0, nqfveff=0, ntveff=0, nqtveff=0;k<=cptcovt; k++){ /* or cptocvt */
1.226   ! brouard  7900:     if (Tvar[k] <=ncovcol && (Typevar[k]==0 || Typevar[k]==2)){ /* Simple or product fixed dummy covariatee */
        !          7901:       Fixed[Tvar[k]]= 0;
        !          7902:       Dummy[Tvar[k]]= 0;
1.225     brouard  7903:       ncoveff++;
                   7904:     }else if( Tvar[k] <=ncovcol+nqv && Typevar[k]==0){ /* Remind that product Vn*Vm are added in k*/
1.226   ! brouard  7905:       Fixed[Tvar[k]]= 0;
        !          7906:       Dummy[Tvar[k]]= 1;
1.225     brouard  7907:       nqfveff++;  /* Only simple fixed quantitative variable */
                   7908:     }else if( Tvar[k] <=ncovcol+nqv+ntv && Typevar[k]==0){
1.226   ! brouard  7909:       Fixed[Tvar[k]]= 1;
        !          7910:       Dummy[Tvar[k]]= 0;
1.225     brouard  7911:       ntveff++; /* Only simple time varying dummy variable */
1.226   ! brouard  7912:     }else if( Tvar[k] <=ncovcol+nqv+ntv+nqtv){
        !          7913:       if( Typevar[k]==0){
        !          7914:        Fixed[Tvar[k]]= 1;
        !          7915:        Dummy[Tvar[k]]= 1;
        !          7916:        nqtveff++;/* Only simple time varying quantitative variable */
        !          7917:       }
        !          7918:     }else if (Typevar[k] == 2) {
        !          7919:       for(k1=1; k1 <= cptcovprodnoage; k1++){
        !          7920:        if(Tvard[k1][1] <=ncovcol){
        !          7921:          if(Tvard[k1][2] <=ncovcol){
        !          7922:            Fixed[Tvar[k]]= 1;
        !          7923:            Dummy[Tvar[k]]= 0;
        !          7924:          }else if(Tvard[k1][2] <=ncovcol+nqv){
        !          7925:            Fixed[Tvar[k]]= 0;
        !          7926:            Dummy[Tvar[k]]= 1;
        !          7927:          }else if(Tvard[k1][2] <=ncovcol+nqv+ntv){
        !          7928:            Fixed[Tvar[k]]= 1;
        !          7929:            Dummy[Tvar[k]]= 0;
        !          7930:          }else if(Tvard[k1][2] <=ncovcol+nqv+ntv+nqtv){
        !          7931:            Fixed[Tvar[k]]= 1;
        !          7932:            Dummy[Tvar[k]]= 1;
        !          7933:          } 
        !          7934:        }else if(Tvard[k1][1] <=ncovcol+nqv){
        !          7935:          if(Tvard[k1][2] <=ncovcol){
        !          7936:            Fixed[Tvar[k]]= 0;
        !          7937:            Dummy[Tvar[k]]= 1;
        !          7938:          }else if(Tvard[k1][2] <=ncovcol+nqv){
        !          7939:            Fixed[Tvar[k]]= 0;
        !          7940:            Dummy[Tvar[k]]= 1;
        !          7941:          }else if(Tvard[k1][2] <=ncovcol+nqv+ntv){
        !          7942:            Fixed[Tvar[k]]= 1;
        !          7943:            Dummy[Tvar[k]]= 1;
        !          7944:          }else if(Tvard[k1][2] <=ncovcol+nqv+ntv+nqtv){
        !          7945:            Fixed[Tvar[k]]= 1;
        !          7946:            Dummy[Tvar[k]]= 1;
        !          7947:          } 
        !          7948:        }else if(Tvard[k1][1] <=ncovcol+nqv+ntv){
        !          7949:          if(Tvard[k1][2] <=ncovcol){
        !          7950:            Fixed[Tvar[k]]= 1;
        !          7951:            Dummy[Tvar[k]]= 1;
        !          7952:          }else if(Tvard[k1][2] <=ncovcol+nqv){
        !          7953:            Fixed[Tvar[k]]= 1;
        !          7954:            Dummy[Tvar[k]]= 1;
        !          7955:          }else if(Tvard[k1][2] <=ncovcol+nqv+ntv){
        !          7956:            Fixed[Tvar[k]]= 1;
        !          7957:            Dummy[Tvar[k]]= 0;
        !          7958:          }else if(Tvard[k1][2] <=ncovcol+nqv+ntv+nqtv){
        !          7959:            Fixed[Tvar[k]]= 1;
        !          7960:            Dummy[Tvar[k]]= 1;
        !          7961:          } 
        !          7962:        }else if(Tvard[k1][1] <=ncovcol+nqv+ntv+nqtv){
        !          7963:          if(Tvard[k1][2] <=ncovcol){
        !          7964:            Fixed[Tvar[k]]= 1;
        !          7965:            Dummy[Tvar[k]]= 1;
        !          7966:          }else if(Tvard[k1][2] <=ncovcol+nqv){
        !          7967:            Fixed[Tvar[k]]= 1;
        !          7968:            Dummy[Tvar[k]]= 1;
        !          7969:          }else if(Tvard[k1][2] <=ncovcol+nqv+ntv){
        !          7970:            Fixed[Tvar[k]]= 1;
        !          7971:            Dummy[Tvar[k]]= 1;
        !          7972:          }else if(Tvard[k1][2] <=ncovcol+nqv+ntv+nqtv){
        !          7973:            Fixed[Tvar[k]]= 1;
        !          7974:            Dummy[Tvar[k]]= 1;
        !          7975:          } 
        !          7976:        }else{
        !          7977:          printf("Error unknown type of covariate: Tvard[%d][1]=%d,Tvard[%d][2]=%d\n",k1,Tvard[k1][1],k1,Tvard[k1][2]);
        !          7978:          fprintf(ficlog,"Error unknown type of covariate: Tvard[%d][1]=%d,Tvard[%d][2]=%d\n",k1,Tvard[k1][1],k1,Tvard[k1][2]);
        !          7979:        }
        !          7980:       } /* end k1 */
1.225     brouard  7981:     }else{
1.226   ! brouard  7982:       printf("Error, current version can't treat for performance reasons, Tvar[%d]=%d, Typevar[%d]=%d\n", k, Tvar[k], k, Typevar[k]);
        !          7983:       fprintf(ficlog,"Error, current version can't treat for performance reasons, Tvar[%d]=%d, Typevar[%d]=%d\n", k, Tvar[k], k, Typevar[k]);
1.225     brouard  7984:     }
1.226   ! brouard  7985:     printf("Decodemodel, k=%d, Tvar[%d]=V%d,Typevar=%d, Fixed=%d, Dummy=%d\n",k, k,Tvar[k],Typevar[k],Fixed[Tvar[k]],Dummy[Tvar[k]]);
        !          7986:     fprintf(ficlog,"Decodemodel, k=%d, Tvar[%d]=V%d,Typevar=%d, Fixed=%d, Dummy=%d\n",k, k,Tvar[k],Typevar[k],Fixed[Tvar[k]],Dummy[Tvar[k]]);
1.225     brouard  7987:   }
1.226   ! brouard  7988:   printf("Model=%s\n\
        !          7989: Typevar: 0 for simple covariate (dummy, quantitative, fixed or varying), 1 for age product, 2 for  product \n\
        !          7990: Fixed[Tvar[k]] 0=fixed, 1 varying, 2 fixed with age product, 3 varying with age product \n\
        !          7991: Dummy[Tvar[k]] 0=dummy (0 1), 1 quantitative (single or product without age), 2 dummy with age product, 3 quant with age product\n",model);
        !          7992: 
1.225     brouard  7993:   printf("ncoveff=%d, nqfveff=%d, ntveff=%d, nqtveff=%d, cptcovn=%d\n",ncoveff,nqfveff,ntveff,nqtveff,cptcovn);
                   7994:   fprintf(ficlog,"ncoveff=%d, nqfveff=%d, ntveff=%d, nqtveff=%d, cptcovn=%d\n",ncoveff,nqfveff,ntveff,nqtveff,cptcovn);
1.137     brouard  7995:   return (0); /* with covar[new additional covariate if product] and Tage if age */ 
1.164     brouard  7996:   /*endread:*/
1.225     brouard  7997:   printf("Exiting decodemodel: ");
                   7998:   return (1);
1.136     brouard  7999: }
                   8000: 
1.169     brouard  8001: int calandcheckages(int imx, int maxwav, double *agemin, double *agemax, int *nberr, int *nbwarn )
1.136     brouard  8002: {
                   8003:   int i, m;
1.218     brouard  8004:   int firstone=0;
                   8005:   
1.136     brouard  8006:   for (i=1; i<=imx; i++) {
                   8007:     for(m=2; (m<= maxwav); m++) {
                   8008:       if (((int)mint[m][i]== 99) && (s[m][i] <= nlstate)){
                   8009:        anint[m][i]=9999;
1.216     brouard  8010:        if (s[m][i] != -2) /* Keeping initial status of unknown vital status */
                   8011:          s[m][i]=-1;
1.136     brouard  8012:       }
                   8013:       if((int)moisdc[i]==99 && (int)andc[i]==9999 && s[m][i]>nlstate){
1.169     brouard  8014:        *nberr = *nberr + 1;
1.218     brouard  8015:        if(firstone == 0){
                   8016:          firstone=1;
                   8017:        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);
                   8018:        }
                   8019:        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  8020:        s[m][i]=-1;
                   8021:       }
                   8022:       if((int)moisdc[i]==99 && (int)andc[i]!=9999 && s[m][i]>nlstate){
1.169     brouard  8023:        (*nberr)++;
1.136     brouard  8024:        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]); 
                   8025:        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]); 
                   8026:        s[m][i]=-1; /* We prefer to skip it (and to skip it in version 0.8a1 too */
                   8027:       }
                   8028:     }
                   8029:   }
                   8030: 
                   8031:   for (i=1; i<=imx; i++)  {
                   8032:     agedc[i]=(moisdc[i]/12.+andc[i])-(moisnais[i]/12.+annais[i]);
                   8033:     for(m=firstpass; (m<= lastpass); m++){
1.214     brouard  8034:       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  8035:        if (s[m][i] >= nlstate+1) {
1.169     brouard  8036:          if(agedc[i]>0){
                   8037:            if((int)moisdc[i]!=99 && (int)andc[i]!=9999){
1.136     brouard  8038:              agev[m][i]=agedc[i];
1.214     brouard  8039:              /*if(moisdc[i]==99 && andc[i]==9999) s[m][i]=-1;*/
1.169     brouard  8040:            }else {
1.136     brouard  8041:              if ((int)andc[i]!=9999){
                   8042:                nbwarn++;
                   8043:                printf("Warning negative age at death: %ld line:%d\n",num[i],i);
                   8044:                fprintf(ficlog,"Warning negative age at death: %ld line:%d\n",num[i],i);
                   8045:                agev[m][i]=-1;
                   8046:              }
                   8047:            }
1.169     brouard  8048:          } /* agedc > 0 */
1.214     brouard  8049:        } /* end if */
1.136     brouard  8050:        else if(s[m][i] !=9){ /* Standard case, age in fractional
                   8051:                                 years but with the precision of a month */
                   8052:          agev[m][i]=(mint[m][i]/12.+1./24.+anint[m][i])-(moisnais[i]/12.+1./24.+annais[i]);
                   8053:          if((int)mint[m][i]==99 || (int)anint[m][i]==9999)
                   8054:            agev[m][i]=1;
                   8055:          else if(agev[m][i] < *agemin){ 
                   8056:            *agemin=agev[m][i];
                   8057:            printf(" Min anint[%d][%d]=%.2f annais[%d]=%.2f, agemin=%.2f\n",m,i,anint[m][i], i,annais[i], *agemin);
                   8058:          }
                   8059:          else if(agev[m][i] >*agemax){
                   8060:            *agemax=agev[m][i];
1.156     brouard  8061:            /* printf(" Max anint[%d][%d]=%.0f annais[%d]=%.0f, agemax=%.2f\n",m,i,anint[m][i], i,annais[i], *agemax);*/
1.136     brouard  8062:          }
                   8063:          /*agev[m][i]=anint[m][i]-annais[i];*/
                   8064:          /*     agev[m][i] = age[i]+2*m;*/
1.214     brouard  8065:        } /* en if 9*/
1.136     brouard  8066:        else { /* =9 */
1.214     brouard  8067:          /* printf("Debug num[%d]=%ld s[%d][%d]=%d\n",i,num[i], m,i, s[m][i]); */
1.136     brouard  8068:          agev[m][i]=1;
                   8069:          s[m][i]=-1;
                   8070:        }
                   8071:       }
1.214     brouard  8072:       else if(s[m][i]==0) /*= 0 Unknown */
1.136     brouard  8073:        agev[m][i]=1;
1.214     brouard  8074:       else{
                   8075:        printf("Warning, num[%d]=%ld, s[%d][%d]=%d\n", i, num[i], m, i,s[m][i]); 
                   8076:        fprintf(ficlog, "Warning, num[%d]=%ld, s[%d][%d]=%d\n", i, num[i], m, i,s[m][i]); 
                   8077:        agev[m][i]=0;
                   8078:       }
                   8079:     } /* End for lastpass */
                   8080:   }
1.136     brouard  8081:     
                   8082:   for (i=1; i<=imx; i++)  {
                   8083:     for(m=firstpass; (m<=lastpass); m++){
                   8084:       if (s[m][i] > (nlstate+ndeath)) {
1.169     brouard  8085:        (*nberr)++;
1.136     brouard  8086:        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);     
                   8087:        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);     
                   8088:        return 1;
                   8089:       }
                   8090:     }
                   8091:   }
                   8092: 
                   8093:   /*for (i=1; i<=imx; i++){
                   8094:   for (m=firstpass; (m<lastpass); m++){
                   8095:      printf("%ld %d %.lf %d %d\n", num[i],(covar[1][i]),agev[m][i],s[m][i],s[m+1][i]);
                   8096: }
                   8097: 
                   8098: }*/
                   8099: 
                   8100: 
1.139     brouard  8101:   printf("Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, *agemin, *agemax);
                   8102:   fprintf(ficlog,"Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, *agemin, *agemax); 
1.136     brouard  8103: 
                   8104:   return (0);
1.164     brouard  8105:  /* endread:*/
1.136     brouard  8106:     printf("Exiting calandcheckages: ");
                   8107:     return (1);
                   8108: }
                   8109: 
1.172     brouard  8110: #if defined(_MSC_VER)
                   8111: /*printf("Visual C++ compiler: %s \n;", _MSC_FULL_VER);*/
                   8112: /*fprintf(ficlog, "Visual C++ compiler: %s \n;", _MSC_FULL_VER);*/
                   8113: //#include "stdafx.h"
                   8114: //#include <stdio.h>
                   8115: //#include <tchar.h>
                   8116: //#include <windows.h>
                   8117: //#include <iostream>
                   8118: typedef BOOL(WINAPI *LPFN_ISWOW64PROCESS) (HANDLE, PBOOL);
                   8119: 
                   8120: LPFN_ISWOW64PROCESS fnIsWow64Process;
                   8121: 
                   8122: BOOL IsWow64()
                   8123: {
                   8124:        BOOL bIsWow64 = FALSE;
                   8125: 
                   8126:        //typedef BOOL (APIENTRY *LPFN_ISWOW64PROCESS)
                   8127:        //  (HANDLE, PBOOL);
                   8128: 
                   8129:        //LPFN_ISWOW64PROCESS fnIsWow64Process;
                   8130: 
                   8131:        HMODULE module = GetModuleHandle(_T("kernel32"));
                   8132:        const char funcName[] = "IsWow64Process";
                   8133:        fnIsWow64Process = (LPFN_ISWOW64PROCESS)
                   8134:                GetProcAddress(module, funcName);
                   8135: 
                   8136:        if (NULL != fnIsWow64Process)
                   8137:        {
                   8138:                if (!fnIsWow64Process(GetCurrentProcess(),
                   8139:                        &bIsWow64))
                   8140:                        //throw std::exception("Unknown error");
                   8141:                        printf("Unknown error\n");
                   8142:        }
                   8143:        return bIsWow64 != FALSE;
                   8144: }
                   8145: #endif
1.177     brouard  8146: 
1.191     brouard  8147: void syscompilerinfo(int logged)
1.167     brouard  8148:  {
                   8149:    /* #include "syscompilerinfo.h"*/
1.185     brouard  8150:    /* command line Intel compiler 32bit windows, XP compatible:*/
                   8151:    /* /GS /W3 /Gy
                   8152:       /Zc:wchar_t /Zi /O2 /Fd"Release\vc120.pdb" /D "WIN32" /D "NDEBUG" /D
                   8153:       "_CONSOLE" /D "_LIB" /D "_USING_V110_SDK71_" /D "_UNICODE" /D
                   8154:       "UNICODE" /Qipo /Zc:forScope /Gd /Oi /MT /Fa"Release\" /EHsc /nologo
1.186     brouard  8155:       /Fo"Release\" /Qprof-dir "Release\" /Fp"Release\IMaCh.pch"
                   8156:    */ 
                   8157:    /* 64 bits */
1.185     brouard  8158:    /*
                   8159:      /GS /W3 /Gy
                   8160:      /Zc:wchar_t /Zi /O2 /Fd"x64\Release\vc120.pdb" /D "WIN32" /D "NDEBUG"
                   8161:      /D "_CONSOLE" /D "_LIB" /D "_UNICODE" /D "UNICODE" /Qipo /Zc:forScope
                   8162:      /Oi /MD /Fa"x64\Release\" /EHsc /nologo /Fo"x64\Release\" /Qprof-dir
                   8163:      "x64\Release\" /Fp"x64\Release\IMaCh.pch" */
                   8164:    /* Optimization are useless and O3 is slower than O2 */
                   8165:    /*
                   8166:      /GS /W3 /Gy /Zc:wchar_t /Zi /O3 /Fd"x64\Release\vc120.pdb" /D "WIN32" 
                   8167:      /D "NDEBUG" /D "_CONSOLE" /D "_LIB" /D "_UNICODE" /D "UNICODE" /Qipo 
                   8168:      /Zc:forScope /Oi /MD /Fa"x64\Release\" /EHsc /nologo /Qparallel 
                   8169:      /Fo"x64\Release\" /Qprof-dir "x64\Release\" /Fp"x64\Release\IMaCh.pch" 
                   8170:    */
1.186     brouard  8171:    /* Link is */ /* /OUT:"visual studio
1.185     brouard  8172:       2013\Projects\IMaCh\Release\IMaCh.exe" /MANIFEST /NXCOMPAT
                   8173:       /PDB:"visual studio
                   8174:       2013\Projects\IMaCh\Release\IMaCh.pdb" /DYNAMICBASE
                   8175:       "kernel32.lib" "user32.lib" "gdi32.lib" "winspool.lib"
                   8176:       "comdlg32.lib" "advapi32.lib" "shell32.lib" "ole32.lib"
                   8177:       "oleaut32.lib" "uuid.lib" "odbc32.lib" "odbccp32.lib"
                   8178:       /MACHINE:X86 /OPT:REF /SAFESEH /INCREMENTAL:NO
                   8179:       /SUBSYSTEM:CONSOLE",5.01" /MANIFESTUAC:"level='asInvoker'
                   8180:       uiAccess='false'"
                   8181:       /ManifestFile:"Release\IMaCh.exe.intermediate.manifest" /OPT:ICF
                   8182:       /NOLOGO /TLBID:1
                   8183:    */
1.177     brouard  8184: #if defined __INTEL_COMPILER
1.178     brouard  8185: #if defined(__GNUC__)
                   8186:        struct utsname sysInfo;  /* For Intel on Linux and OS/X */
                   8187: #endif
1.177     brouard  8188: #elif defined(__GNUC__) 
1.179     brouard  8189: #ifndef  __APPLE__
1.174     brouard  8190: #include <gnu/libc-version.h>  /* Only on gnu */
1.179     brouard  8191: #endif
1.177     brouard  8192:    struct utsname sysInfo;
1.178     brouard  8193:    int cross = CROSS;
                   8194:    if (cross){
                   8195:           printf("Cross-");
1.191     brouard  8196:           if(logged) fprintf(ficlog, "Cross-");
1.178     brouard  8197:    }
1.174     brouard  8198: #endif
                   8199: 
1.171     brouard  8200: #include <stdint.h>
1.178     brouard  8201: 
1.191     brouard  8202:    printf("Compiled with:");if(logged)fprintf(ficlog,"Compiled with:");
1.169     brouard  8203: #if defined(__clang__)
1.191     brouard  8204:    printf(" Clang/LLVM");if(logged)fprintf(ficlog," Clang/LLVM");      /* Clang/LLVM. ---------------------------------------------- */
1.169     brouard  8205: #endif
                   8206: #if defined(__ICC) || defined(__INTEL_COMPILER)
1.191     brouard  8207:    printf(" Intel ICC/ICPC");if(logged)fprintf(ficlog," Intel ICC/ICPC");/* Intel ICC/ICPC. ------------------------------------------ */
1.169     brouard  8208: #endif
                   8209: #if defined(__GNUC__) || defined(__GNUG__)
1.191     brouard  8210:    printf(" GNU GCC/G++");if(logged)fprintf(ficlog," GNU GCC/G++");/* GNU GCC/G++. --------------------------------------------- */
1.169     brouard  8211: #endif
                   8212: #if defined(__HP_cc) || defined(__HP_aCC)
1.191     brouard  8213:    printf(" Hewlett-Packard C/aC++");if(logged)fprintf(fcilog," Hewlett-Packard C/aC++"); /* Hewlett-Packard C/aC++. ---------------------------------- */
1.169     brouard  8214: #endif
                   8215: #if defined(__IBMC__) || defined(__IBMCPP__)
1.191     brouard  8216:    printf(" IBM XL C/C++"); if(logged) fprintf(ficlog," IBM XL C/C++");/* IBM XL C/C++. -------------------------------------------- */
1.169     brouard  8217: #endif
                   8218: #if defined(_MSC_VER)
1.191     brouard  8219:    printf(" Microsoft Visual Studio");if(logged)fprintf(ficlog," Microsoft Visual Studio");/* Microsoft Visual Studio. --------------------------------- */
1.169     brouard  8220: #endif
                   8221: #if defined(__PGI)
1.191     brouard  8222:    printf(" Portland Group PGCC/PGCPP");if(logged) fprintf(ficlog," Portland Group PGCC/PGCPP");/* Portland Group PGCC/PGCPP. ------------------------------- */
1.169     brouard  8223: #endif
                   8224: #if defined(__SUNPRO_C) || defined(__SUNPRO_CC)
1.191     brouard  8225:    printf(" Oracle Solaris Studio");if(logged)fprintf(ficlog," Oracle Solaris Studio\n");/* Oracle Solaris Studio. ----------------------------------- */
1.167     brouard  8226: #endif
1.191     brouard  8227:    printf(" for "); if (logged) fprintf(ficlog, " for ");
1.169     brouard  8228:    
1.167     brouard  8229: // http://stackoverflow.com/questions/4605842/how-to-identify-platform-compiler-from-preprocessor-macros
                   8230: #ifdef _WIN32 // note the underscore: without it, it's not msdn official!
                   8231:     // Windows (x64 and x86)
1.191     brouard  8232:    printf("Windows (x64 and x86) ");if(logged) fprintf(ficlog,"Windows (x64 and x86) ");
1.167     brouard  8233: #elif __unix__ // all unices, not all compilers
                   8234:     // Unix
1.191     brouard  8235:    printf("Unix ");if(logged) fprintf(ficlog,"Unix ");
1.167     brouard  8236: #elif __linux__
                   8237:     // linux
1.191     brouard  8238:    printf("linux ");if(logged) fprintf(ficlog,"linux ");
1.167     brouard  8239: #elif __APPLE__
1.174     brouard  8240:     // Mac OS, not sure if this is covered by __posix__ and/or __unix__ though..
1.191     brouard  8241:    printf("Mac OS ");if(logged) fprintf(ficlog,"Mac OS ");
1.167     brouard  8242: #endif
                   8243: 
                   8244: /*  __MINGW32__          */
                   8245: /*  __CYGWIN__  */
                   8246: /* __MINGW64__  */
                   8247: // http://msdn.microsoft.com/en-us/library/b0084kay.aspx
                   8248: /* _MSC_VER  //the Visual C++ compiler is 17.00.51106.1, the _MSC_VER macro evaluates to 1700. Type cl /?  */
                   8249: /* _MSC_FULL_VER //the Visual C++ compiler is 15.00.20706.01, the _MSC_FULL_VER macro evaluates to 150020706 */
                   8250: /* _WIN64  // Defined for applications for Win64. */
                   8251: /* _M_X64 // Defined for compilations that target x64 processors. */
                   8252: /* _DEBUG // Defined when you compile with /LDd, /MDd, and /MTd. */
1.171     brouard  8253: 
1.167     brouard  8254: #if UINTPTR_MAX == 0xffffffff
1.191     brouard  8255:    printf(" 32-bit"); if(logged) fprintf(ficlog," 32-bit");/* 32-bit */
1.167     brouard  8256: #elif UINTPTR_MAX == 0xffffffffffffffff
1.191     brouard  8257:    printf(" 64-bit"); if(logged) fprintf(ficlog," 64-bit");/* 64-bit */
1.167     brouard  8258: #else
1.191     brouard  8259:    printf(" wtf-bit"); if(logged) fprintf(ficlog," wtf-bit");/* wtf */
1.167     brouard  8260: #endif
                   8261: 
1.169     brouard  8262: #if defined(__GNUC__)
                   8263: # if defined(__GNUC_PATCHLEVEL__)
                   8264: #  define __GNUC_VERSION__ (__GNUC__ * 10000 \
                   8265:                             + __GNUC_MINOR__ * 100 \
                   8266:                             + __GNUC_PATCHLEVEL__)
                   8267: # else
                   8268: #  define __GNUC_VERSION__ (__GNUC__ * 10000 \
                   8269:                             + __GNUC_MINOR__ * 100)
                   8270: # endif
1.174     brouard  8271:    printf(" using GNU C version %d.\n", __GNUC_VERSION__);
1.191     brouard  8272:    if(logged) fprintf(ficlog, " using GNU C version %d.\n", __GNUC_VERSION__);
1.176     brouard  8273: 
                   8274:    if (uname(&sysInfo) != -1) {
                   8275:      printf("Running on: %s %s %s %s %s\n",sysInfo.sysname, sysInfo.nodename, sysInfo.release, sysInfo.version, sysInfo.machine);
1.191     brouard  8276:         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  8277:    }
                   8278:    else
                   8279:       perror("uname() error");
1.179     brouard  8280:    //#ifndef __INTEL_COMPILER 
                   8281: #if !defined (__INTEL_COMPILER) && !defined(__APPLE__)
1.174     brouard  8282:    printf("GNU libc version: %s\n", gnu_get_libc_version()); 
1.191     brouard  8283:    if(logged) fprintf(ficlog,"GNU libc version: %s\n", gnu_get_libc_version());
1.177     brouard  8284: #endif
1.169     brouard  8285: #endif
1.172     brouard  8286: 
                   8287:    //   void main()
                   8288:    //   {
1.169     brouard  8289: #if defined(_MSC_VER)
1.174     brouard  8290:    if (IsWow64()){
1.191     brouard  8291:           printf("\nThe program (probably compiled for 32bit) is running under WOW64 (64bit) emulation.\n");
                   8292:           if (logged) fprintf(ficlog, "\nThe program (probably compiled for 32bit) is running under WOW64 (64bit) emulation.\n");
1.174     brouard  8293:    }
                   8294:    else{
1.191     brouard  8295:           printf("\nThe program is not running under WOW64 (i.e probably on a 64bit Windows).\n");
                   8296:           if (logged) fprintf(ficlog, "\nThe programm is not running under WOW64 (i.e probably on a 64bit Windows).\n");
1.174     brouard  8297:    }
1.172     brouard  8298:    //     printf("\nPress Enter to continue...");
                   8299:    //     getchar();
                   8300:    //   }
                   8301: 
1.169     brouard  8302: #endif
                   8303:    
1.167     brouard  8304: 
1.219     brouard  8305: }
1.136     brouard  8306: 
1.219     brouard  8307: int prevalence_limit(double *p, double **prlim, double ageminpar, double agemaxpar, double ftolpl, int *ncvyearp){
1.180     brouard  8308:   /*--------------- Prevalence limit  (period or stable prevalence) --------------*/
                   8309:   int i, j, k, i1 ;
1.202     brouard  8310:   /* double ftolpl = 1.e-10; */
1.180     brouard  8311:   double age, agebase, agelim;
1.203     brouard  8312:   double tot;
1.180     brouard  8313: 
1.202     brouard  8314:   strcpy(filerespl,"PL_");
                   8315:   strcat(filerespl,fileresu);
                   8316:   if((ficrespl=fopen(filerespl,"w"))==NULL) {
                   8317:     printf("Problem with period (stable) prevalence resultfile: %s\n", filerespl);return 1;
                   8318:     fprintf(ficlog,"Problem with period (stable) prevalence resultfile: %s\n", filerespl);return 1;
                   8319:   }
                   8320:   printf("Computing period (stable) prevalence: result on file '%s' \n", filerespl);
                   8321:   fprintf(ficlog,"Computing period (stable) prevalence: result on file '%s' \n", filerespl);
                   8322:   pstamp(ficrespl);
1.203     brouard  8323:   fprintf(ficrespl,"# Period (stable) prevalence. Precision given by ftolpl=%g \n", ftolpl);
1.202     brouard  8324:   fprintf(ficrespl,"#Age ");
                   8325:   for(i=1; i<=nlstate;i++) fprintf(ficrespl,"%d-%d ",i,i);
                   8326:   fprintf(ficrespl,"\n");
1.180     brouard  8327:   
1.219     brouard  8328:   /* prlim=matrix(1,nlstate,1,nlstate);*/ /* back in main */
1.180     brouard  8329: 
1.219     brouard  8330:   agebase=ageminpar;
                   8331:   agelim=agemaxpar;
1.180     brouard  8332: 
1.224     brouard  8333:   i1=pow(2,ncoveff);
1.219     brouard  8334:   if (cptcovn < 1){i1=1;}
1.180     brouard  8335: 
1.220     brouard  8336:   for(k=1; k<=i1;k++){
                   8337:   /* for(cptcov=1,k=0;cptcov<=i1;cptcov++){ */
1.180     brouard  8338:     /* for(cptcov=1,k=0;cptcov<=1;cptcov++){ */
1.219     brouard  8339:     //for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){
1.220     brouard  8340:     /* k=k+1; */
1.219     brouard  8341:     /* to clean */
                   8342:     //printf("cptcov=%d cptcod=%d codtab=%d\n",cptcov, cptcod,codtabm(cptcod,cptcov));
                   8343:     fprintf(ficrespl,"#******");
                   8344:     printf("#******");
                   8345:     fprintf(ficlog,"#******");
1.225     brouard  8346:     for(j=1;j<=nqfveff;j++) {
1.219     brouard  8347:       fprintf(ficrespl," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8348:       printf(" V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8349:       fprintf(ficlog," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8350:     }
                   8351:     fprintf(ficrespl,"******\n");
                   8352:     printf("******\n");
                   8353:     fprintf(ficlog,"******\n");
1.220     brouard  8354:                if(invalidvarcomb[k]){
                   8355:                                                printf("\nCombination (%d) ignored because no cases \n",k); 
                   8356:                                                fprintf(ficrespl,"#Combination (%d) ignored because no cases \n",k); 
                   8357:                                                fprintf(ficlog,"\nCombination (%d) ignored because no cases \n",k); 
                   8358:                                                continue;
                   8359:                }
1.219     brouard  8360: 
                   8361:     fprintf(ficrespl,"#Age ");
1.225     brouard  8362:     for(j=1;j<=nqfveff;j++) {
1.219     brouard  8363:       fprintf(ficrespl,"V%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8364:     }
                   8365:     for(i=1; i<=nlstate;i++) fprintf(ficrespl,"  %d-%d   ",i,i);
                   8366:     fprintf(ficrespl,"Total Years_to_converge\n");
                   8367:        
                   8368:     for (age=agebase; age<=agelim; age++){
                   8369:       /* for (age=agebase; age<=agebase; age++){ */
                   8370:       prevalim(prlim, nlstate, p, age, oldm, savm, ftolpl, ncvyearp, k);
                   8371:       fprintf(ficrespl,"%.0f ",age );
1.225     brouard  8372:       for(j=1;j<=nqfveff;j++)
1.220     brouard  8373:                                                        fprintf(ficrespl,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.219     brouard  8374:       tot=0.;
                   8375:       for(i=1; i<=nlstate;i++){
1.220     brouard  8376:                                                        tot +=  prlim[i][i];
                   8377:                                                        fprintf(ficrespl," %.5f", prlim[i][i]);
1.219     brouard  8378:       }
                   8379:       fprintf(ficrespl," %.3f %d\n", tot, *ncvyearp);
                   8380:     } /* Age */
                   8381:     /* was end of cptcod */
                   8382:   } /* cptcov */
                   8383:   return 0;
1.180     brouard  8384: }
                   8385: 
1.218     brouard  8386: 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){
                   8387:        /*--------------- Back Prevalence limit  (period or stable prevalence) --------------*/
                   8388:        
                   8389:        /* Computes the back prevalence limit  for any combination      of covariate values 
                   8390:    * at any age between ageminpar and agemaxpar
                   8391:         */
1.217     brouard  8392:   int i, j, k, i1 ;
                   8393:   /* double ftolpl = 1.e-10; */
                   8394:   double age, agebase, agelim;
                   8395:   double tot;
1.218     brouard  8396:   /* double ***mobaverage; */
                   8397:   /* double     **dnewm, **doldm, **dsavm;  /\* for use *\/ */
1.217     brouard  8398: 
                   8399:   strcpy(fileresplb,"PLB_");
                   8400:   strcat(fileresplb,fileresu);
                   8401:   if((ficresplb=fopen(fileresplb,"w"))==NULL) {
                   8402:     printf("Problem with period (stable) back prevalence resultfile: %s\n", fileresplb);return 1;
                   8403:     fprintf(ficlog,"Problem with period (stable) back prevalence resultfile: %s\n", fileresplb);return 1;
                   8404:   }
                   8405:   printf("Computing period (stable) back prevalence: result on file '%s' \n", fileresplb);
                   8406:   fprintf(ficlog,"Computing period (stable) back prevalence: result on file '%s' \n", fileresplb);
                   8407:   pstamp(ficresplb);
                   8408:   fprintf(ficresplb,"# Period (stable) back prevalence. Precision given by ftolpl=%g \n", ftolpl);
                   8409:   fprintf(ficresplb,"#Age ");
                   8410:   for(i=1; i<=nlstate;i++) fprintf(ficresplb,"%d-%d ",i,i);
                   8411:   fprintf(ficresplb,"\n");
                   8412:   
1.218     brouard  8413:   
                   8414:   /* prlim=matrix(1,nlstate,1,nlstate);*/ /* back in main */
                   8415:   
                   8416:   agebase=ageminpar;
                   8417:   agelim=agemaxpar;
                   8418:   
                   8419:   
1.225     brouard  8420:   i1=pow(2,nqfveff);
1.218     brouard  8421:   if (cptcovn < 1){i1=1;}
1.220     brouard  8422: 
                   8423:        for(k=1; k<=i1;k++){ 
                   8424:   /* for(cptcov=1,k=0;cptcov<=i1;cptcov++){ */
1.217     brouard  8425:     /* for(cptcov=1,k=0;cptcov<=1;cptcov++){ */
1.218     brouard  8426:     //for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){
1.220     brouard  8427:     /* k=k+1; */
1.218     brouard  8428:     /* to clean */
                   8429:     //printf("cptcov=%d cptcod=%d codtab=%d\n",cptcov, cptcod,codtabm(cptcod,cptcov));
                   8430:     fprintf(ficresplb,"#******");
                   8431:     printf("#******");
                   8432:     fprintf(ficlog,"#******");
1.225     brouard  8433:     for(j=1;j<=nqfveff;j++) {
1.218     brouard  8434:       fprintf(ficresplb," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8435:       printf(" V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8436:       fprintf(ficlog," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8437:     }
                   8438:     fprintf(ficresplb,"******\n");
                   8439:     printf("******\n");
                   8440:     fprintf(ficlog,"******\n");
1.220     brouard  8441:                if(invalidvarcomb[k]){
                   8442:                                                printf("\nCombination (%d) ignored because no cases \n",k); 
                   8443:                                                fprintf(ficresplb,"#Combination (%d) ignored because no cases \n",k); 
                   8444:                                                fprintf(ficlog,"\nCombination (%d) ignored because no cases \n",k); 
                   8445:                                                continue;
                   8446:                }
1.218     brouard  8447:     
                   8448:     fprintf(ficresplb,"#Age ");
1.225     brouard  8449:     for(j=1;j<=nqfveff;j++) {
1.218     brouard  8450:       fprintf(ficresplb,"V%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8451:     }
                   8452:     for(i=1; i<=nlstate;i++) fprintf(ficresplb,"  %d-%d   ",i,i);
                   8453:     fprintf(ficresplb,"Total Years_to_converge\n");
                   8454:     
                   8455:     
                   8456:     for (age=agebase; age<=agelim; age++){
                   8457:       /* for (age=agebase; age<=agebase; age++){ */
                   8458:       if(mobilavproj > 0){
                   8459:        /* bprevalim(bprlim, mobaverage, nlstate, p, age, ageminpar, agemaxpar, oldm, savm, doldm, dsavm, ftolpl, ncvyearp, k); */
                   8460:        /* bprevalim(bprlim, mobaverage, nlstate, p, age, oldm, savm, dnewm, doldm, dsavm, ftolpl, ncvyearp, k); */
1.219     brouard  8461:                                bprevalim(bprlim, mobaverage, nlstate, p, age, ftolpl, ncvyearp, k);
1.218     brouard  8462:       }else if (mobilavproj == 0){
1.219     brouard  8463:                                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);
                   8464:                                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);
                   8465:                                exit(1);
1.218     brouard  8466:       }else{
1.219     brouard  8467:                                /* bprevalim(bprlim, probs, nlstate, p, age, oldm, savm, dnewm, doldm, dsavm, ftolpl, ncvyearp, k); */
                   8468:                                bprevalim(bprlim, probs, nlstate, p, age, ftolpl, ncvyearp, k);
1.218     brouard  8469:       }
                   8470:       fprintf(ficresplb,"%.0f ",age );
1.225     brouard  8471:       for(j=1;j<=nqfveff;j++)
1.219     brouard  8472:                                fprintf(ficresplb,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.218     brouard  8473:       tot=0.;
                   8474:       for(i=1; i<=nlstate;i++){
1.219     brouard  8475:                                tot +=  bprlim[i][i];
                   8476:                                fprintf(ficresplb," %.5f", bprlim[i][i]);
1.218     brouard  8477:       }
                   8478:       fprintf(ficresplb," %.3f %d\n", tot, *ncvyearp);
                   8479:     } /* Age */
                   8480:     /* was end of cptcod */
                   8481:   } /* cptcov */
                   8482:   
                   8483:   /* hBijx(p, bage, fage); */
                   8484:   /* fclose(ficrespijb); */
                   8485:   
                   8486:   return 0;
1.217     brouard  8487: }
1.218     brouard  8488:  
1.180     brouard  8489: int hPijx(double *p, int bage, int fage){
                   8490:     /*------------- h Pij x at various ages ------------*/
                   8491: 
                   8492:   int stepsize;
                   8493:   int agelim;
                   8494:   int hstepm;
                   8495:   int nhstepm;
                   8496:   int h, i, i1, j, k;
                   8497: 
                   8498:   double agedeb;
                   8499:   double ***p3mat;
                   8500: 
1.201     brouard  8501:     strcpy(filerespij,"PIJ_");  strcat(filerespij,fileresu);
1.180     brouard  8502:     if((ficrespij=fopen(filerespij,"w"))==NULL) {
                   8503:       printf("Problem with Pij resultfile: %s\n", filerespij); return 1;
                   8504:       fprintf(ficlog,"Problem with Pij resultfile: %s\n", filerespij); return 1;
                   8505:     }
                   8506:     printf("Computing pij: result on file '%s' \n", filerespij);
                   8507:     fprintf(ficlog,"Computing pij: result on file '%s' \n", filerespij);
                   8508:   
                   8509:     stepsize=(int) (stepm+YEARM-1)/YEARM;
                   8510:     /*if (stepm<=24) stepsize=2;*/
                   8511: 
                   8512:     agelim=AGESUP;
                   8513:     hstepm=stepsize*YEARM; /* Every year of age */
                   8514:     hstepm=hstepm/stepm; /* Typically 2 years, = 2/6 months = 4 */ 
1.218     brouard  8515:                
1.180     brouard  8516:     /* hstepm=1;   aff par mois*/
                   8517:     pstamp(ficrespij);
                   8518:     fprintf(ficrespij,"#****** h Pij x Probability to be in state j at age x+h being in i at x ");
1.225     brouard  8519:     i1= pow(2,nqfveff);
1.218     brouard  8520:                /* for(cptcov=1,k=0;cptcov<=i1;cptcov++){ */
                   8521:                /*    /\*for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*\/ */
                   8522:                /*      k=k+1;  */
1.225     brouard  8523:     for (k=1; k <= (int) pow(2,nqfveff); k++){
1.183     brouard  8524:       fprintf(ficrespij,"\n#****** ");
1.225     brouard  8525:       for(j=1;j<=nqfveff;j++) 
1.198     brouard  8526:        fprintf(ficrespij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.183     brouard  8527:       fprintf(ficrespij,"******\n");
                   8528:       
                   8529:       for (agedeb=fage; agedeb>=bage; agedeb--){ /* If stepm=6 months */
                   8530:        nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
                   8531:        nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
                   8532:        
                   8533:        /*        nhstepm=nhstepm*YEARM; aff par mois*/
1.180     brouard  8534:        
1.183     brouard  8535:        p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   8536:        oldm=oldms;savm=savms;
                   8537:        hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);  
                   8538:        fprintf(ficrespij,"# Cov Agex agex+h hpijx with i,j=");
                   8539:        for(i=1; i<=nlstate;i++)
                   8540:          for(j=1; j<=nlstate+ndeath;j++)
                   8541:            fprintf(ficrespij," %1d-%1d",i,j);
                   8542:        fprintf(ficrespij,"\n");
                   8543:        for (h=0; h<=nhstepm; h++){
                   8544:          /*agedebphstep = agedeb + h*hstepm/YEARM*stepm;*/
                   8545:          fprintf(ficrespij,"%d %3.f %3.f",k, agedeb, agedeb + h*hstepm/YEARM*stepm );
1.180     brouard  8546:          for(i=1; i<=nlstate;i++)
                   8547:            for(j=1; j<=nlstate+ndeath;j++)
1.183     brouard  8548:              fprintf(ficrespij," %.5f", p3mat[i][j][h]);
1.180     brouard  8549:          fprintf(ficrespij,"\n");
                   8550:        }
1.183     brouard  8551:        free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   8552:        fprintf(ficrespij,"\n");
                   8553:       }
1.180     brouard  8554:       /*}*/
                   8555:     }
1.218     brouard  8556:     return 0;
1.180     brouard  8557: }
1.218     brouard  8558:  
                   8559:  int hBijx(double *p, int bage, int fage, double ***prevacurrent){
1.217     brouard  8560:     /*------------- h Bij x at various ages ------------*/
                   8561: 
                   8562:   int stepsize;
1.218     brouard  8563:   /* int agelim; */
                   8564:        int ageminl;
1.217     brouard  8565:   int hstepm;
                   8566:   int nhstepm;
                   8567:   int h, i, i1, j, k;
1.218     brouard  8568:        
1.217     brouard  8569:   double agedeb;
                   8570:   double ***p3mat;
1.218     brouard  8571:        
                   8572:   strcpy(filerespijb,"PIJB_");  strcat(filerespijb,fileresu);
                   8573:   if((ficrespijb=fopen(filerespijb,"w"))==NULL) {
                   8574:     printf("Problem with Pij back resultfile: %s\n", filerespijb); return 1;
                   8575:     fprintf(ficlog,"Problem with Pij back resultfile: %s\n", filerespijb); return 1;
                   8576:   }
                   8577:   printf("Computing pij back: result on file '%s' \n", filerespijb);
                   8578:   fprintf(ficlog,"Computing pij back: result on file '%s' \n", filerespijb);
                   8579:   
                   8580:   stepsize=(int) (stepm+YEARM-1)/YEARM;
                   8581:   /*if (stepm<=24) stepsize=2;*/
1.217     brouard  8582:   
1.218     brouard  8583:   /* agelim=AGESUP; */
                   8584:   ageminl=30;
                   8585:   hstepm=stepsize*YEARM; /* Every year of age */
                   8586:   hstepm=hstepm/stepm; /* Typically 2 years, = 2/6 months = 4 */
                   8587:   
                   8588:   /* hstepm=1;   aff par mois*/
                   8589:   pstamp(ficrespijb);
                   8590:   fprintf(ficrespijb,"#****** h Pij x Back Probability to be in state i at age x-h being in j at x ");
1.225     brouard  8591:   i1= pow(2,nqfveff);
1.218     brouard  8592:   /* for(cptcov=1,k=0;cptcov<=i1;cptcov++){ */
                   8593:   /*    /\*for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*\/ */
                   8594:   /*   k=k+1;  */
1.225     brouard  8595:   for (k=1; k <= (int) pow(2,nqfveff); k++){
1.218     brouard  8596:     fprintf(ficrespijb,"\n#****** ");
1.225     brouard  8597:     for(j=1;j<=nqfveff;j++)
1.218     brouard  8598:       fprintf(ficrespijb,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   8599:     fprintf(ficrespijb,"******\n");
1.222     brouard  8600:     if(invalidvarcomb[k]){
                   8601:       fprintf(ficrespijb,"\n#Combination (%d) ignored because no cases \n",k); 
                   8602:       continue;
                   8603:     }
1.218     brouard  8604:     
                   8605:     /* for (agedeb=fage; agedeb>=bage; agedeb--){ /\* If stepm=6 months *\/ */
                   8606:     for (agedeb=bage; agedeb<=fage; agedeb++){ /* If stepm=6 months and estepm=24 (2 years) */
                   8607:       /* nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); /\* Typically 20 years = 20*12/6=40 *\/ */
                   8608:       nhstepm=(int) rint((agedeb-ageminl)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */
                   8609:       nhstepm = nhstepm/hstepm; /* Typically 40/4=10, because estepm=24 stepm=6 => hstepm=24/6=4 */
                   8610:       
                   8611:       /*         nhstepm=nhstepm*YEARM; aff par mois*/
                   8612:       
                   8613:       p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   8614:       /* oldm=oldms;savm=savms; */
                   8615:       /* hbxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);   */
                   8616:       hbxij(p3mat,nhstepm,agedeb,hstepm,p,prevacurrent,nlstate,stepm, k);
                   8617:       /* hbxij(p3mat,nhstepm,agedeb,hstepm,p,prevacurrent,nlstate,stepm,oldm,savm, dnewm, doldm, dsavm, k); */
                   8618:       fprintf(ficrespijb,"# Cov Agex agex-h hpijx with i,j=");
                   8619:       for(i=1; i<=nlstate;i++)
                   8620:        for(j=1; j<=nlstate+ndeath;j++)
                   8621:          fprintf(ficrespijb," %1d-%1d",i,j);
                   8622:       fprintf(ficrespijb,"\n");
                   8623:       for (h=0; h<=nhstepm; h++){
                   8624:        /*agedebphstep = agedeb + h*hstepm/YEARM*stepm;*/
                   8625:        fprintf(ficrespijb,"%d %3.f %3.f",k, agedeb, agedeb - h*hstepm/YEARM*stepm );
                   8626:        /* fprintf(ficrespijb,"%d %3.f %3.f",k, agedeb, agedeb + h*hstepm/YEARM*stepm ); */
1.217     brouard  8627:        for(i=1; i<=nlstate;i++)
                   8628:          for(j=1; j<=nlstate+ndeath;j++)
1.218     brouard  8629:            fprintf(ficrespijb," %.5f", p3mat[i][j][h]);
1.217     brouard  8630:        fprintf(ficrespijb,"\n");
                   8631:       }
1.218     brouard  8632:       free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   8633:       fprintf(ficrespijb,"\n");
1.217     brouard  8634:     }
1.218     brouard  8635:     /*}*/
                   8636:   }
                   8637:   return 0;
                   8638:  } /*  hBijx */
1.217     brouard  8639: 
1.180     brouard  8640: 
1.136     brouard  8641: /***********************************************/
                   8642: /**************** Main Program *****************/
                   8643: /***********************************************/
                   8644: 
                   8645: int main(int argc, char *argv[])
                   8646: {
                   8647: #ifdef GSL
                   8648:   const gsl_multimin_fminimizer_type *T;
                   8649:   size_t iteri = 0, it;
                   8650:   int rval = GSL_CONTINUE;
                   8651:   int status = GSL_SUCCESS;
                   8652:   double ssval;
                   8653: #endif
                   8654:   int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav);
1.164     brouard  8655:   int i,j, k, n=MAXN,iter=0,m,size=100, cptcod;
1.209     brouard  8656:   int ncvyear=0; /* Number of years needed for the period prevalence to converge */
1.164     brouard  8657:   int jj, ll, li, lj, lk;
1.136     brouard  8658:   int numlinepar=0; /* Current linenumber of parameter file */
1.197     brouard  8659:   int num_filled;
1.136     brouard  8660:   int itimes;
                   8661:   int NDIM=2;
                   8662:   int vpopbased=0;
                   8663: 
1.164     brouard  8664:   char ca[32], cb[32];
1.136     brouard  8665:   /*  FILE *fichtm; *//* Html File */
                   8666:   /* FILE *ficgp;*/ /*Gnuplot File */
                   8667:   struct stat info;
1.191     brouard  8668:   double agedeb=0.;
1.194     brouard  8669: 
                   8670:   double ageminpar=AGEOVERFLOW,agemin=AGEOVERFLOW, agemaxpar=-AGEOVERFLOW, agemax=-AGEOVERFLOW;
1.219     brouard  8671:   double ageminout=-AGEOVERFLOW,agemaxout=AGEOVERFLOW; /* Smaller Age range redefined after movingaverage */
1.136     brouard  8672: 
1.165     brouard  8673:   double fret;
1.191     brouard  8674:   double dum=0.; /* Dummy variable */
1.136     brouard  8675:   double ***p3mat;
1.218     brouard  8676:   /* double ***mobaverage; */
1.164     brouard  8677: 
                   8678:   char line[MAXLINE];
1.197     brouard  8679:   char path[MAXLINE],pathc[MAXLINE],pathcd[MAXLINE],pathtot[MAXLINE];
                   8680: 
                   8681:   char model[MAXLINE], modeltemp[MAXLINE];
1.136     brouard  8682:   char pathr[MAXLINE], pathimach[MAXLINE]; 
1.164     brouard  8683:   char *tok, *val; /* pathtot */
1.136     brouard  8684:   int firstobs=1, lastobs=10;
1.195     brouard  8685:   int c,  h , cpt, c2;
1.191     brouard  8686:   int jl=0;
                   8687:   int i1, j1, jk, stepsize=0;
1.194     brouard  8688:   int count=0;
                   8689: 
1.164     brouard  8690:   int *tab; 
1.136     brouard  8691:   int mobilavproj=0 , prevfcast=0 ; /* moving average of prev, If prevfcast=1 prevalence projection */
1.217     brouard  8692:   int backcast=0;
1.136     brouard  8693:   int mobilav=0,popforecast=0;
1.191     brouard  8694:   int hstepm=0, nhstepm=0;
1.136     brouard  8695:   int agemortsup;
                   8696:   float  sumlpop=0.;
                   8697:   double jprev1=1, mprev1=1,anprev1=2000,jprev2=1, mprev2=1,anprev2=2000;
                   8698:   double jpyram=1, mpyram=1,anpyram=2000,jpyram1=1, mpyram1=1,anpyram1=2000;
                   8699: 
1.191     brouard  8700:   double bage=0, fage=110., age, agelim=0., agebase=0.;
1.136     brouard  8701:   double ftolpl=FTOL;
                   8702:   double **prlim;
1.217     brouard  8703:   double **bprlim;
1.136     brouard  8704:   double ***param; /* Matrix of parameters */
                   8705:   double  *p;
                   8706:   double **matcov; /* Matrix of covariance */
1.203     brouard  8707:   double **hess; /* Hessian matrix */
1.136     brouard  8708:   double ***delti3; /* Scale */
                   8709:   double *delti; /* Scale */
                   8710:   double ***eij, ***vareij;
                   8711:   double **varpl; /* Variances of prevalence limits by age */
                   8712:   double *epj, vepp;
1.164     brouard  8713: 
1.136     brouard  8714:   double dateprev1, dateprev2,jproj1=1,mproj1=1,anproj1=2000,jproj2=1,mproj2=1,anproj2=2000;
1.217     brouard  8715:   double jback1=1,mback1=1,anback1=2000,jback2=1,mback2=1,anback2=2000;
                   8716: 
1.136     brouard  8717:   double **ximort;
1.145     brouard  8718:   char *alph[]={"a","a","b","c","d","e"}, str[4]="1234";
1.136     brouard  8719:   int *dcwave;
                   8720: 
1.164     brouard  8721:   char z[1]="c";
1.136     brouard  8722: 
                   8723:   /*char  *strt;*/
                   8724:   char strtend[80];
1.126     brouard  8725: 
1.164     brouard  8726: 
1.126     brouard  8727: /*   setlocale (LC_ALL, ""); */
                   8728: /*   bindtextdomain (PACKAGE, LOCALEDIR); */
                   8729: /*   textdomain (PACKAGE); */
                   8730: /*   setlocale (LC_CTYPE, ""); */
                   8731: /*   setlocale (LC_MESSAGES, ""); */
                   8732: 
                   8733:   /*   gettimeofday(&start_time, (struct timezone*)0); */ /* at first time */
1.157     brouard  8734:   rstart_time = time(NULL);  
                   8735:   /*  (void) gettimeofday(&start_time,&tzp);*/
                   8736:   start_time = *localtime(&rstart_time);
1.126     brouard  8737:   curr_time=start_time;
1.157     brouard  8738:   /*tml = *localtime(&start_time.tm_sec);*/
                   8739:   /* strcpy(strstart,asctime(&tml)); */
                   8740:   strcpy(strstart,asctime(&start_time));
1.126     brouard  8741: 
                   8742: /*  printf("Localtime (at start)=%s",strstart); */
1.157     brouard  8743: /*  tp.tm_sec = tp.tm_sec +86400; */
                   8744: /*  tm = *localtime(&start_time.tm_sec); */
1.126     brouard  8745: /*   tmg.tm_year=tmg.tm_year +dsign*dyear; */
                   8746: /*   tmg.tm_mon=tmg.tm_mon +dsign*dmonth; */
                   8747: /*   tmg.tm_hour=tmg.tm_hour + 1; */
1.157     brouard  8748: /*   tp.tm_sec = mktime(&tmg); */
1.126     brouard  8749: /*   strt=asctime(&tmg); */
                   8750: /*   printf("Time(after) =%s",strstart);  */
                   8751: /*  (void) time (&time_value);
                   8752: *  printf("time=%d,t-=%d\n",time_value,time_value-86400);
                   8753: *  tm = *localtime(&time_value);
                   8754: *  strstart=asctime(&tm);
                   8755: *  printf("tim_value=%d,asctime=%s\n",time_value,strstart); 
                   8756: */
                   8757: 
                   8758:   nberr=0; /* Number of errors and warnings */
                   8759:   nbwarn=0;
1.184     brouard  8760: #ifdef WIN32
                   8761:   _getcwd(pathcd, size);
                   8762: #else
1.126     brouard  8763:   getcwd(pathcd, size);
1.184     brouard  8764: #endif
1.191     brouard  8765:   syscompilerinfo(0);
1.196     brouard  8766:   printf("\nIMaCh version %s, %s\n%s",version, copyright, fullversion);
1.126     brouard  8767:   if(argc <=1){
                   8768:     printf("\nEnter the parameter file name: ");
1.205     brouard  8769:     if(!fgets(pathr,FILENAMELENGTH,stdin)){
                   8770:       printf("ERROR Empty parameter file name\n");
                   8771:       goto end;
                   8772:     }
1.126     brouard  8773:     i=strlen(pathr);
                   8774:     if(pathr[i-1]=='\n')
                   8775:       pathr[i-1]='\0';
1.156     brouard  8776:     i=strlen(pathr);
1.205     brouard  8777:     if(i >= 1 && pathr[i-1]==' ') {/* This may happen when dragging on oS/X! */
1.156     brouard  8778:       pathr[i-1]='\0';
1.205     brouard  8779:     }
                   8780:     i=strlen(pathr);
                   8781:     if( i==0 ){
                   8782:       printf("ERROR Empty parameter file name\n");
                   8783:       goto end;
                   8784:     }
                   8785:     for (tok = pathr; tok != NULL; ){
1.126     brouard  8786:       printf("Pathr |%s|\n",pathr);
                   8787:       while ((val = strsep(&tok, "\"" )) != NULL && *val == '\0');
                   8788:       printf("val= |%s| pathr=%s\n",val,pathr);
                   8789:       strcpy (pathtot, val);
                   8790:       if(pathr[0] == '\0') break; /* Dirty */
                   8791:     }
                   8792:   }
                   8793:   else{
                   8794:     strcpy(pathtot,argv[1]);
                   8795:   }
                   8796:   /*if(getcwd(pathcd, MAXLINE)!= NULL)printf ("Error pathcd\n");*/
                   8797:   /*cygwin_split_path(pathtot,path,optionfile);
                   8798:     printf("pathtot=%s, path=%s, optionfile=%s\n",pathtot,path,optionfile);*/
                   8799:   /* cutv(path,optionfile,pathtot,'\\');*/
                   8800: 
                   8801:   /* Split argv[0], imach program to get pathimach */
                   8802:   printf("\nargv[0]=%s argv[1]=%s, \n",argv[0],argv[1]);
                   8803:   split(argv[0],pathimach,optionfile,optionfilext,optionfilefiname);
                   8804:   printf("\nargv[0]=%s pathimach=%s, \noptionfile=%s \noptionfilext=%s \noptionfilefiname=%s\n",argv[0],pathimach,optionfile,optionfilext,optionfilefiname);
                   8805:  /*   strcpy(pathimach,argv[0]); */
                   8806:   /* Split argv[1]=pathtot, parameter file name to get path, optionfile, extension and name */
                   8807:   split(pathtot,path,optionfile,optionfilext,optionfilefiname);
                   8808:   printf("\npathtot=%s,\npath=%s,\noptionfile=%s \noptionfilext=%s \noptionfilefiname=%s\n",pathtot,path,optionfile,optionfilext,optionfilefiname);
1.184     brouard  8809: #ifdef WIN32
                   8810:   _chdir(path); /* Can be a relative path */
                   8811:   if(_getcwd(pathcd,MAXLINE) > 0) /* So pathcd is the full path */
                   8812: #else
1.126     brouard  8813:   chdir(path); /* Can be a relative path */
1.184     brouard  8814:   if (getcwd(pathcd, MAXLINE) > 0) /* So pathcd is the full path */
                   8815: #endif
                   8816:   printf("Current directory %s!\n",pathcd);
1.126     brouard  8817:   strcpy(command,"mkdir ");
                   8818:   strcat(command,optionfilefiname);
                   8819:   if((outcmd=system(command)) != 0){
1.169     brouard  8820:     printf("Directory already exists (or can't create it) %s%s, err=%d\n",path,optionfilefiname,outcmd);
1.126     brouard  8821:     /* fprintf(ficlog,"Problem creating directory %s%s\n",path,optionfilefiname); */
                   8822:     /* fclose(ficlog); */
                   8823: /*     exit(1); */
                   8824:   }
                   8825: /*   if((imk=mkdir(optionfilefiname))<0){ */
                   8826: /*     perror("mkdir"); */
                   8827: /*   } */
                   8828: 
                   8829:   /*-------- arguments in the command line --------*/
                   8830: 
1.186     brouard  8831:   /* Main Log file */
1.126     brouard  8832:   strcat(filelog, optionfilefiname);
                   8833:   strcat(filelog,".log");    /* */
                   8834:   if((ficlog=fopen(filelog,"w"))==NULL)    {
                   8835:     printf("Problem with logfile %s\n",filelog);
                   8836:     goto end;
                   8837:   }
                   8838:   fprintf(ficlog,"Log filename:%s\n",filelog);
1.197     brouard  8839:   fprintf(ficlog,"Version %s %s",version,fullversion);
1.126     brouard  8840:   fprintf(ficlog,"\nEnter the parameter file name: \n");
                   8841:   fprintf(ficlog,"pathimach=%s\npathtot=%s\n\
                   8842:  path=%s \n\
                   8843:  optionfile=%s\n\
                   8844:  optionfilext=%s\n\
1.156     brouard  8845:  optionfilefiname='%s'\n",pathimach,pathtot,path,optionfile,optionfilext,optionfilefiname);
1.126     brouard  8846: 
1.197     brouard  8847:   syscompilerinfo(1);
1.167     brouard  8848: 
1.126     brouard  8849:   printf("Local time (at start):%s",strstart);
                   8850:   fprintf(ficlog,"Local time (at start): %s",strstart);
                   8851:   fflush(ficlog);
                   8852: /*   (void) gettimeofday(&curr_time,&tzp); */
1.157     brouard  8853: /*   printf("Elapsed time %d\n", asc_diff_time(curr_time.tm_sec-start_time.tm_sec,tmpout)); */
1.126     brouard  8854: 
                   8855:   /* */
                   8856:   strcpy(fileres,"r");
                   8857:   strcat(fileres, optionfilefiname);
1.201     brouard  8858:   strcat(fileresu, optionfilefiname); /* Without r in front */
1.126     brouard  8859:   strcat(fileres,".txt");    /* Other files have txt extension */
1.201     brouard  8860:   strcat(fileresu,".txt");    /* Other files have txt extension */
1.126     brouard  8861: 
1.186     brouard  8862:   /* Main ---------arguments file --------*/
1.126     brouard  8863: 
                   8864:   if((ficpar=fopen(optionfile,"r"))==NULL)    {
1.155     brouard  8865:     printf("Problem with optionfile '%s' with errno='%s'\n",optionfile,strerror(errno));
                   8866:     fprintf(ficlog,"Problem with optionfile '%s' with errno='%s'\n",optionfile,strerror(errno));
1.126     brouard  8867:     fflush(ficlog);
1.149     brouard  8868:     /* goto end; */
                   8869:     exit(70); 
1.126     brouard  8870:   }
                   8871: 
                   8872: 
                   8873: 
                   8874:   strcpy(filereso,"o");
1.201     brouard  8875:   strcat(filereso,fileresu);
1.126     brouard  8876:   if((ficparo=fopen(filereso,"w"))==NULL) { /* opened on subdirectory */
                   8877:     printf("Problem with Output resultfile: %s\n", filereso);
                   8878:     fprintf(ficlog,"Problem with Output resultfile: %s\n", filereso);
                   8879:     fflush(ficlog);
                   8880:     goto end;
                   8881:   }
                   8882: 
                   8883:   /* Reads comments: lines beginning with '#' */
                   8884:   numlinepar=0;
1.197     brouard  8885: 
                   8886:     /* First parameter line */
                   8887:   while(fgets(line, MAXLINE, ficpar)) {
                   8888:     /* If line starts with a # it is a comment */
                   8889:     if (line[0] == '#') {
                   8890:       numlinepar++;
                   8891:       fputs(line,stdout);
                   8892:       fputs(line,ficparo);
                   8893:       fputs(line,ficlog);
                   8894:       continue;
                   8895:     }else
                   8896:       break;
                   8897:   }
                   8898:   if((num_filled=sscanf(line,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", \
                   8899:                        title, datafile, &lastobs, &firstpass,&lastpass)) !=EOF){
                   8900:     if (num_filled != 5) {
                   8901:       printf("Should be 5 parameters\n");
                   8902:     }
1.126     brouard  8903:     numlinepar++;
1.197     brouard  8904:     printf("title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", title, datafile, lastobs, firstpass,lastpass);
                   8905:   }
                   8906:   /* Second parameter line */
                   8907:   while(fgets(line, MAXLINE, ficpar)) {
                   8908:     /* If line starts with a # it is a comment */
                   8909:     if (line[0] == '#') {
                   8910:       numlinepar++;
                   8911:       fputs(line,stdout);
                   8912:       fputs(line,ficparo);
                   8913:       fputs(line,ficlog);
                   8914:       continue;
                   8915:     }else
                   8916:       break;
                   8917:   }
1.223     brouard  8918:   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", \
                   8919:                        &ftol, &stepm, &ncovcol, &nqv, &ntv, &nqtv, &nlstate, &ndeath, &maxwav, &mle, &weightopt)) !=EOF){
                   8920:     if (num_filled != 11) {
                   8921:       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  8922:       printf("but line=%s\n",line);
1.197     brouard  8923:     }
1.223     brouard  8924:     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  8925:   }
1.203     brouard  8926:   /* ftolpl=6*ftol*1.e5; /\* 6.e-3 make convergences in less than 80 loops for the prevalence limit *\/ */
1.209     brouard  8927:   /*ftolpl=6.e-4; *//* 6.e-3 make convergences in less than 80 loops for the prevalence limit */
1.197     brouard  8928:   /* Third parameter line */
                   8929:   while(fgets(line, MAXLINE, ficpar)) {
                   8930:     /* If line starts with a # it is a comment */
                   8931:     if (line[0] == '#') {
                   8932:       numlinepar++;
                   8933:       fputs(line,stdout);
                   8934:       fputs(line,ficparo);
                   8935:       fputs(line,ficlog);
                   8936:       continue;
                   8937:     }else
                   8938:       break;
                   8939:   }
1.201     brouard  8940:   if((num_filled=sscanf(line,"model=1+age%[^.\n]", model)) !=EOF){
                   8941:     if (num_filled == 0)
                   8942:             model[0]='\0';
                   8943:     else if (num_filled != 1){
1.197     brouard  8944:       printf("ERROR %d: Model should be at minimum 'model=1+age.' %s\n",num_filled, line);
                   8945:       fprintf(ficlog,"ERROR %d: Model should be at minimum 'model=1+age.' %s\n",num_filled, line);
                   8946:       model[0]='\0';
                   8947:       goto end;
                   8948:     }
                   8949:     else{
                   8950:       if (model[0]=='+'){
                   8951:        for(i=1; i<=strlen(model);i++)
                   8952:          modeltemp[i-1]=model[i];
1.201     brouard  8953:        strcpy(model,modeltemp); 
1.197     brouard  8954:       }
                   8955:     }
1.199     brouard  8956:     /* printf(" model=1+age%s modeltemp= %s, model=%s\n",model, modeltemp, model);fflush(stdout); */
1.203     brouard  8957:     printf("model=1+age+%s\n",model);fflush(stdout);
1.197     brouard  8958:   }
                   8959:   /* 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); */
                   8960:   /* numlinepar=numlinepar+3; /\* In general *\/ */
                   8961:   /* 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  8962:   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);
                   8963:   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  8964:   fflush(ficlog);
1.190     brouard  8965:   /* if(model[0]=='#'|| model[0]== '\0'){ */
                   8966:   if(model[0]=='#'){
1.187     brouard  8967:     printf("Error in 'model' line: model should start with 'model=1+age+' and end with '.' \n \
                   8968:  'model=1+age+.' or 'model=1+age+V1.' or 'model=1+age+age*age+V1+V1*age.' or \n \
                   8969:  'model=1+age+V1+V2.' or 'model=1+age+V1+V2+V1*V2.' etc. \n");         \
                   8970:     if(mle != -1){
                   8971:       printf("Fix the model line and run imach with mle=-1 to get a correct template of the parameter file.\n");
                   8972:       exit(1);
                   8973:     }
                   8974:   }
1.126     brouard  8975:   while((c=getc(ficpar))=='#' && c!= EOF){
                   8976:     ungetc(c,ficpar);
                   8977:     fgets(line, MAXLINE, ficpar);
                   8978:     numlinepar++;
1.195     brouard  8979:     if(line[1]=='q'){ /* This #q will quit imach (the answer is q) */
                   8980:       z[0]=line[1];
                   8981:     }
                   8982:     /* printf("****line [1] = %c \n",line[1]); */
1.141     brouard  8983:     fputs(line, stdout);
                   8984:     //puts(line);
1.126     brouard  8985:     fputs(line,ficparo);
                   8986:     fputs(line,ficlog);
                   8987:   }
                   8988:   ungetc(c,ficpar);
                   8989: 
                   8990:    
1.145     brouard  8991:   covar=matrix(0,NCOVMAX,1,n);  /**< used in readdata */
1.225     brouard  8992:   coqvar=matrix(1,nqv,1,n);  /**< Fixed quantitative covariate */
                   8993:   cotvar=ma3x(1,maxwav,1,ntv,1,n);  /**< Time varying covariate */
                   8994:   cotqvar=ma3x(1,maxwav,1,nqtv,1,n);  /**< Time varying quantitative covariate */
1.136     brouard  8995:   cptcovn=0; /*Number of covariates, i.e. number of '+' in model statement plus one, indepently of n in Vn*/
                   8996:   /* v1+v2+v3+v2*v4+v5*age makes cptcovn = 5
                   8997:      v1+v2*age+v2*v3 makes cptcovn = 3
                   8998:   */
                   8999:   if (strlen(model)>1) 
1.187     brouard  9000:     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  9001:   else
1.187     brouard  9002:     ncovmodel=2; /* Constant and age */
1.133     brouard  9003:   nforce= (nlstate+ndeath-1)*nlstate; /* Number of forces ij from state i to j */
                   9004:   npar= nforce*ncovmodel; /* Number of parameters like aij*/
1.131     brouard  9005:   if(npar >MAXPARM || nlstate >NLSTATEMAX || ndeath >NDEATHMAX || ncovmodel>NCOVMAX){
                   9006:     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);
                   9007:     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);
                   9008:     fflush(stdout);
                   9009:     fclose (ficlog);
                   9010:     goto end;
                   9011:   }
1.126     brouard  9012:   delti3= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
                   9013:   delti=delti3[1][1];
                   9014:   /*delti=vector(1,npar); *//* Scale of each paramater (output from hesscov)*/
                   9015:   if(mle==-1){ /* Print a wizard for help writing covariance matrix */
                   9016:     prwizard(ncovmodel, nlstate, ndeath, model, ficparo);
1.191     brouard  9017:     printf(" You chose mle=-1, look at file %s for a template of covariance matrix \n",filereso);
                   9018:     fprintf(ficlog," You chose mle=-1, look at file %s for a template of covariance matrix \n",filereso);
1.126     brouard  9019:     free_ma3x(delti3,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel); 
                   9020:     fclose (ficparo);
                   9021:     fclose (ficlog);
                   9022:     goto end;
                   9023:     exit(0);
1.220     brouard  9024:   }  else if(mle==-5) { /* Main Wizard */
1.126     brouard  9025:     prwizard(ncovmodel, nlstate, ndeath, model, ficparo);
1.192     brouard  9026:     printf(" You chose mle=-3, look at file %s for a template of covariance matrix \n",filereso);
                   9027:     fprintf(ficlog," You chose mle=-3, look at file %s for a template of covariance matrix \n",filereso);
1.126     brouard  9028:     param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
                   9029:     matcov=matrix(1,npar,1,npar);
1.203     brouard  9030:     hess=matrix(1,npar,1,npar);
1.220     brouard  9031:   }  else{ /* Begin of mle != -1 or -5 */
1.145     brouard  9032:     /* Read guessed parameters */
1.126     brouard  9033:     /* Reads comments: lines beginning with '#' */
                   9034:     while((c=getc(ficpar))=='#' && c!= EOF){
                   9035:       ungetc(c,ficpar);
                   9036:       fgets(line, MAXLINE, ficpar);
                   9037:       numlinepar++;
1.141     brouard  9038:       fputs(line,stdout);
1.126     brouard  9039:       fputs(line,ficparo);
                   9040:       fputs(line,ficlog);
                   9041:     }
                   9042:     ungetc(c,ficpar);
                   9043:     
                   9044:     param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
                   9045:     for(i=1; i <=nlstate; i++){
1.220     brouard  9046:                        j=0;
1.126     brouard  9047:       for(jj=1; jj <=nlstate+ndeath; jj++){
1.220     brouard  9048:                                if(jj==i) continue;
                   9049:                                j++;
                   9050:                                fscanf(ficpar,"%1d%1d",&i1,&j1);
                   9051:                                if ((i1 != i) || (j1 != jj)){
                   9052:                                        printf("Error in line parameters number %d, %1d%1d instead of %1d%1d \n \
1.126     brouard  9053: It might be a problem of design; if ncovcol and the model are correct\n \
                   9054: run imach with mle=-1 to get a correct template of the parameter file.\n",numlinepar, i,j, i1, j1);
1.220     brouard  9055:                                        exit(1);
                   9056:                                }
                   9057:                                fprintf(ficparo,"%1d%1d",i1,j1);
                   9058:                                if(mle==1)
                   9059:                                        printf("%1d%1d",i,jj);
                   9060:                                fprintf(ficlog,"%1d%1d",i,jj);
                   9061:                                for(k=1; k<=ncovmodel;k++){
                   9062:                                        fscanf(ficpar," %lf",&param[i][j][k]);
                   9063:                                        if(mle==1){
                   9064:                                                printf(" %lf",param[i][j][k]);
                   9065:                                                fprintf(ficlog," %lf",param[i][j][k]);
                   9066:                                        }
                   9067:                                        else
                   9068:                                                fprintf(ficlog," %lf",param[i][j][k]);
                   9069:                                        fprintf(ficparo," %lf",param[i][j][k]);
                   9070:                                }
                   9071:                                fscanf(ficpar,"\n");
                   9072:                                numlinepar++;
                   9073:                                if(mle==1)
                   9074:                                        printf("\n");
                   9075:                                fprintf(ficlog,"\n");
                   9076:                                fprintf(ficparo,"\n");
1.126     brouard  9077:       }
                   9078:     }  
                   9079:     fflush(ficlog);
                   9080: 
1.145     brouard  9081:     /* Reads scales values */
1.126     brouard  9082:     p=param[1][1];
                   9083:     
                   9084:     /* Reads comments: lines beginning with '#' */
                   9085:     while((c=getc(ficpar))=='#' && c!= EOF){
                   9086:       ungetc(c,ficpar);
                   9087:       fgets(line, MAXLINE, ficpar);
                   9088:       numlinepar++;
1.141     brouard  9089:       fputs(line,stdout);
1.126     brouard  9090:       fputs(line,ficparo);
                   9091:       fputs(line,ficlog);
                   9092:     }
                   9093:     ungetc(c,ficpar);
                   9094: 
                   9095:     for(i=1; i <=nlstate; i++){
                   9096:       for(j=1; j <=nlstate+ndeath-1; j++){
1.220     brouard  9097:                                fscanf(ficpar,"%1d%1d",&i1,&j1);
                   9098:                                if ( (i1-i) * (j1-j) != 0){
                   9099:                                        printf("Error in line parameters number %d, %1d%1d instead of %1d%1d \n",numlinepar, i,j, i1, j1);
                   9100:                                        exit(1);
                   9101:                                }
                   9102:                                printf("%1d%1d",i,j);
                   9103:                                fprintf(ficparo,"%1d%1d",i1,j1);
                   9104:                                fprintf(ficlog,"%1d%1d",i1,j1);
                   9105:                                for(k=1; k<=ncovmodel;k++){
                   9106:                                        fscanf(ficpar,"%le",&delti3[i][j][k]);
                   9107:                                        printf(" %le",delti3[i][j][k]);
                   9108:                                        fprintf(ficparo," %le",delti3[i][j][k]);
                   9109:                                        fprintf(ficlog," %le",delti3[i][j][k]);
                   9110:                                }
                   9111:                                fscanf(ficpar,"\n");
                   9112:                                numlinepar++;
                   9113:                                printf("\n");
                   9114:                                fprintf(ficparo,"\n");
                   9115:                                fprintf(ficlog,"\n");
1.126     brouard  9116:       }
                   9117:     }
                   9118:     fflush(ficlog);
1.220     brouard  9119:                
1.145     brouard  9120:     /* Reads covariance matrix */
1.126     brouard  9121:     delti=delti3[1][1];
1.220     brouard  9122:                
                   9123:                
1.126     brouard  9124:     /* 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  9125:                
1.126     brouard  9126:     /* Reads comments: lines beginning with '#' */
                   9127:     while((c=getc(ficpar))=='#' && c!= EOF){
                   9128:       ungetc(c,ficpar);
                   9129:       fgets(line, MAXLINE, ficpar);
                   9130:       numlinepar++;
1.141     brouard  9131:       fputs(line,stdout);
1.126     brouard  9132:       fputs(line,ficparo);
                   9133:       fputs(line,ficlog);
                   9134:     }
                   9135:     ungetc(c,ficpar);
1.220     brouard  9136:                
1.126     brouard  9137:     matcov=matrix(1,npar,1,npar);
1.203     brouard  9138:     hess=matrix(1,npar,1,npar);
1.131     brouard  9139:     for(i=1; i <=npar; i++)
                   9140:       for(j=1; j <=npar; j++) matcov[i][j]=0.;
1.220     brouard  9141:                
1.194     brouard  9142:     /* Scans npar lines */
1.126     brouard  9143:     for(i=1; i <=npar; i++){
1.226   ! brouard  9144:       count=fscanf(ficpar,"%1d%1d%d",&i1,&j1,&jk);
1.194     brouard  9145:       if(count != 3){
1.226   ! brouard  9146:        printf("Error! Error in parameter file %s at line %d after line starting with %1d%1d%1d\n\
1.194     brouard  9147: This is probably because your covariance matrix doesn't \n  contain exactly %d lines corresponding to your model line '1+age+%s'.\n\
                   9148: Please run with mle=-1 to get a correct covariance matrix.\n",optionfile,numlinepar, i1,j1,jk, npar, model);
1.226   ! brouard  9149:        fprintf(ficlog,"Error! Error in parameter file %s at line %d after line starting with %1d%1d%1d\n\
1.194     brouard  9150: This is probably because your covariance matrix doesn't \n  contain exactly %d lines corresponding to your model line '1+age+%s'.\n\
                   9151: Please run with mle=-1 to get a correct covariance matrix.\n",optionfile,numlinepar, i1,j1,jk, npar, model);
1.226   ! brouard  9152:        exit(1);
1.220     brouard  9153:       }else{
1.226   ! brouard  9154:        if(mle==1)
        !          9155:          printf("%1d%1d%d",i1,j1,jk);
        !          9156:       }
        !          9157:       fprintf(ficlog,"%1d%1d%d",i1,j1,jk);
        !          9158:       fprintf(ficparo,"%1d%1d%d",i1,j1,jk);
1.126     brouard  9159:       for(j=1; j <=i; j++){
1.226   ! brouard  9160:        fscanf(ficpar," %le",&matcov[i][j]);
        !          9161:        if(mle==1){
        !          9162:          printf(" %.5le",matcov[i][j]);
        !          9163:        }
        !          9164:        fprintf(ficlog," %.5le",matcov[i][j]);
        !          9165:        fprintf(ficparo," %.5le",matcov[i][j]);
1.126     brouard  9166:       }
                   9167:       fscanf(ficpar,"\n");
                   9168:       numlinepar++;
                   9169:       if(mle==1)
1.220     brouard  9170:                                printf("\n");
1.126     brouard  9171:       fprintf(ficlog,"\n");
                   9172:       fprintf(ficparo,"\n");
                   9173:     }
1.194     brouard  9174:     /* End of read covariance matrix npar lines */
1.126     brouard  9175:     for(i=1; i <=npar; i++)
                   9176:       for(j=i+1;j<=npar;j++)
1.226   ! brouard  9177:        matcov[i][j]=matcov[j][i];
1.126     brouard  9178:     
                   9179:     if(mle==1)
                   9180:       printf("\n");
                   9181:     fprintf(ficlog,"\n");
                   9182:     
                   9183:     fflush(ficlog);
                   9184:     
                   9185:     /*-------- Rewriting parameter file ----------*/
                   9186:     strcpy(rfileres,"r");    /* "Rparameterfile */
                   9187:     strcat(rfileres,optionfilefiname);    /* Parameter file first name*/
                   9188:     strcat(rfileres,".");    /* */
                   9189:     strcat(rfileres,optionfilext);    /* Other files have txt extension */
                   9190:     if((ficres =fopen(rfileres,"w"))==NULL) {
1.201     brouard  9191:       printf("Problem writing new parameter file: %s\n", rfileres);goto end;
                   9192:       fprintf(ficlog,"Problem writing new parameter file: %s\n", rfileres);goto end;
1.126     brouard  9193:     }
                   9194:     fprintf(ficres,"#%s\n",version);
                   9195:   }    /* End of mle != -3 */
1.218     brouard  9196:   
1.186     brouard  9197:   /*  Main data
                   9198:    */
1.126     brouard  9199:   n= lastobs;
                   9200:   num=lvector(1,n);
                   9201:   moisnais=vector(1,n);
                   9202:   annais=vector(1,n);
                   9203:   moisdc=vector(1,n);
                   9204:   andc=vector(1,n);
1.220     brouard  9205:   weight=vector(1,n);
1.126     brouard  9206:   agedc=vector(1,n);
                   9207:   cod=ivector(1,n);
1.220     brouard  9208:   for(i=1;i<=n;i++){
                   9209:                num[i]=0;
                   9210:                moisnais[i]=0;
                   9211:                annais[i]=0;
                   9212:                moisdc[i]=0;
                   9213:                andc[i]=0;
                   9214:                agedc[i]=0;
                   9215:                cod[i]=0;
                   9216:                weight[i]=1.0; /* Equal weights, 1 by default */
                   9217:        }
1.126     brouard  9218:   mint=matrix(1,maxwav,1,n);
                   9219:   anint=matrix(1,maxwav,1,n);
1.131     brouard  9220:   s=imatrix(1,maxwav+1,1,n); /* s[i][j] health state for wave i and individual j */ 
1.126     brouard  9221:   tab=ivector(1,NCOVMAX);
1.144     brouard  9222:   ncodemax=ivector(1,NCOVMAX); /* Number of code per covariate; if O and 1 only, 2**ncov; V1+V2+V3+V4=>16 */
1.192     brouard  9223:   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  9224: 
1.136     brouard  9225:   /* Reads data from file datafile */
                   9226:   if (readdata(datafile, firstobs, lastobs, &imx)==1)
                   9227:     goto end;
                   9228: 
                   9229:   /* Calculation of the number of parameters from char model */
1.137     brouard  9230:     /*    modelsav=V2+V1+V4+age*V3 strb=age*V3 stra=V2+V1+V4 
                   9231:        k=4 (age*V3) Tvar[k=4]= 3 (from V3) Tag[cptcovage=1]=4
                   9232:        k=3 V4 Tvar[k=3]= 4 (from V4)
                   9233:        k=2 V1 Tvar[k=2]= 1 (from V1)
                   9234:        k=1 Tvar[1]=2 (from V2)
                   9235:     */
                   9236:   Tvar=ivector(1,NCOVMAX); /* Was 15 changed to NCOVMAX. */
1.226   ! brouard  9237:   Typevar=ivector(-1,NCOVMAX); /* -1 to 2 */
        !          9238:   Fixed=ivector(-1,NCOVMAX); /* -1 to 3 */
        !          9239:   Dummy=ivector(-1,NCOVMAX); /* -1 to 3 */
1.137     brouard  9240:   /*  V2+V1+V4+age*V3 is a model with 4 covariates (3 plus signs). 
                   9241:       For each model-covariate stores the data-covariate id. Tvar[1]=2, Tvar[2]=1, Tvar[3]=4, 
                   9242:       Tvar[4=age*V3] is 3 and 'age' is recorded in Tage.
                   9243:   */
                   9244:   /* For model-covariate k tells which data-covariate to use but
                   9245:     because this model-covariate is a construction we invent a new column
                   9246:     ncovcol + k1
                   9247:     If already ncovcol=4 and model=V2+V1+V1*V4+age*V3
                   9248:     Tvar[3=V1*V4]=4+1 etc */
1.145     brouard  9249:   Tprod=ivector(1,NCOVMAX); /* Gives the position of a product */
1.137     brouard  9250:   /* Tprod[k1=1]=3(=V1*V4) for V2+V1+V1*V4+age*V3
                   9251:      if  V2+V1+V1*V4+age*V3+V3*V2   TProd[k1=2]=5 (V3*V2)
                   9252:   */
1.145     brouard  9253:   Tvaraff=ivector(1,NCOVMAX); /* Unclear */
                   9254:   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  9255:                            * For V3*V2 (in V2+V1+V1*V4+age*V3+V3*V2), V3*V2 position is 2nd. 
                   9256:                            * Tvard[k1=2][1]=3 (V3) Tvard[k1=2][2]=2(V2) */
1.145     brouard  9257:   Tage=ivector(1,NCOVMAX); /* Gives the covariate id of covariates associated with age: V2 + V1 + age*V4 + V3*age
1.137     brouard  9258:                         4 covariates (3 plus signs)
                   9259:                         Tage[1=V3*age]= 4; Tage[2=age*V4] = 3
                   9260:                      */  
1.136     brouard  9261: 
1.186     brouard  9262: /* Main decodemodel */
                   9263: 
1.187     brouard  9264: 
1.223     brouard  9265:   if(decodemodel(model, lastobs) == 1) /* In order to get Tvar[k] V4+V3+V5 p Tvar[1]@3  = {4, 3, 5}*/
1.136     brouard  9266:     goto end;
                   9267: 
1.137     brouard  9268:   if((double)(lastobs-imx)/(double)imx > 1.10){
                   9269:     nbwarn++;
                   9270:     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); 
                   9271:     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); 
                   9272:   }
1.136     brouard  9273:     /*  if(mle==1){*/
1.137     brouard  9274:   if (weightopt != 1) { /* Maximisation without weights. We can have weights different from 1 but want no weight*/
                   9275:     for(i=1;i<=imx;i++) weight[i]=1.0; /* changed to imx */
1.136     brouard  9276:   }
                   9277: 
                   9278:     /*-calculation of age at interview from date of interview and age at death -*/
                   9279:   agev=matrix(1,maxwav,1,imx);
                   9280: 
                   9281:   if(calandcheckages(imx, maxwav, &agemin, &agemax, &nberr, &nbwarn) == 1)
                   9282:     goto end;
                   9283: 
1.126     brouard  9284: 
1.136     brouard  9285:   agegomp=(int)agemin;
                   9286:   free_vector(moisnais,1,n);
                   9287:   free_vector(annais,1,n);
1.126     brouard  9288:   /* free_matrix(mint,1,maxwav,1,n);
                   9289:      free_matrix(anint,1,maxwav,1,n);*/
1.215     brouard  9290:   /* free_vector(moisdc,1,n); */
                   9291:   /* free_vector(andc,1,n); */
1.145     brouard  9292:   /* */
                   9293:   
1.126     brouard  9294:   wav=ivector(1,imx);
1.214     brouard  9295:   /* dh=imatrix(1,lastpass-firstpass+1,1,imx); */
                   9296:   /* bh=imatrix(1,lastpass-firstpass+1,1,imx); */
                   9297:   /* mw=imatrix(1,lastpass-firstpass+1,1,imx); */
                   9298:   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.*/
                   9299:   bh=imatrix(1,lastpass-firstpass+2,1,imx);
                   9300:   mw=imatrix(1,lastpass-firstpass+2,1,imx);
1.126     brouard  9301:    
                   9302:   /* Concatenates waves */
1.214     brouard  9303:   /* Concatenates waves: wav[i] is the number of effective (useful waves) of individual i.
                   9304:      Death is a valid wave (if date is known).
                   9305:      mw[mi][i] is the number of (mi=1 to wav[i]) effective wave out of mi of individual i
                   9306:      dh[m][i] or dh[mw[mi][i]][i] is the delay between two effective waves m=mw[mi][i]
                   9307:      and mw[mi+1][i]. dh depends on stepm.
                   9308:   */
                   9309: 
1.126     brouard  9310:   concatwav(wav, dh, bh, mw, s, agedc, agev,  firstpass, lastpass, imx, nlstate, stepm);
1.145     brouard  9311:   /* */
                   9312:  
1.215     brouard  9313:   free_vector(moisdc,1,n);
                   9314:   free_vector(andc,1,n);
                   9315: 
1.126     brouard  9316:   /* Routine tricode is to calculate cptcoveff (real number of unique covariates) and to associate covariable number and modality */
                   9317:   nbcode=imatrix(0,NCOVMAX,0,NCOVMAX); 
                   9318:   ncodemax[1]=1;
1.145     brouard  9319:   Ndum =ivector(-1,NCOVMAX);  
1.225     brouard  9320:   cptcoveff=0;
1.220     brouard  9321:   if (ncovmodel-nagesqr > 2 ){ /* That is if covariate other than cst, age and age*age */
                   9322:     tricode(&cptcoveff,Tvar,nbcode,imx, Ndum); /**< Fills nbcode[Tvar[j]][l]; */
                   9323:        }
                   9324:        
                   9325:        ncovcombmax=pow(2,cptcoveff);
                   9326:        invalidvarcomb=ivector(1, ncovcombmax); 
                   9327:        for(i=1;i<ncovcombmax;i++)
                   9328:                invalidvarcomb[i]=0;
                   9329: 
1.211     brouard  9330:   /* Nbcode gives the value of the lth modality (currently 1 to 2) of jth covariate, in
1.186     brouard  9331:      V2+V1*age, there are 3 covariates Tvar[2]=1 (V1).*/
1.211     brouard  9332:   /* 1 to ncodemax[j] which is the maximum value of this jth covariate */
1.145     brouard  9333: 
1.200     brouard  9334:   /*  codtab=imatrix(1,100,1,10);*/ /* codtab[h,k]=( (h-1) - mod(k-1,2**(k-1) )/2**(k-1) */
1.198     brouard  9335:   /*printf(" codtab[1,1],codtab[100,10]=%d,%d\n", codtab[1][1],codtabm(100,10));*/
1.186     brouard  9336:   /* codtab gives the value 1 or 2 of the hth combination of k covariates (1 or 2).*/
1.211     brouard  9337:   /* nbcode[Tvaraff[j]][codtabm(h,j)]) : if there are only 2 modalities for a covariate j, 
                   9338:    * codtabm(h,j) gives its value classified at position h and nbcode gives how it is coded 
                   9339:    * (currently 0 or 1) in the data.
                   9340:    * In a loop on h=1 to 2**k, and a loop on j (=1 to k), we get the value of 
                   9341:    * corresponding modality (h,j).
                   9342:    */
                   9343: 
1.145     brouard  9344:   h=0;
                   9345:   /*if (cptcovn > 0) */
1.126     brouard  9346:   m=pow(2,cptcoveff);
                   9347:  
1.144     brouard  9348:          /**< codtab(h,k)  k   = codtab[h,k]=( (h-1) - mod(k-1,2**(k-1) )/2**(k-1) + 1
1.211     brouard  9349:           * For k=4 covariates, h goes from 1 to m=2**k
                   9350:           * codtabm(h,k)=  (1 & (h-1) >> (k-1)) + 1;
                   9351:            * #define codtabm(h,k)  (1 & (h-1) >> (k-1))+1
1.186     brouard  9352:           *     h\k   1     2     3     4
1.143     brouard  9353:           *______________________________  
                   9354:           *     1 i=1 1 i=1 1 i=1 1 i=1 1
                   9355:           *     2     2     1     1     1
                   9356:           *     3 i=2 1     2     1     1
                   9357:           *     4     2     2     1     1
                   9358:           *     5 i=3 1 i=2 1     2     1
                   9359:           *     6     2     1     2     1
                   9360:           *     7 i=4 1     2     2     1
                   9361:           *     8     2     2     2     1
1.197     brouard  9362:           *     9 i=5 1 i=3 1 i=2 1     2
                   9363:           *    10     2     1     1     2
                   9364:           *    11 i=6 1     2     1     2
                   9365:           *    12     2     2     1     2
                   9366:           *    13 i=7 1 i=4 1     2     2    
                   9367:           *    14     2     1     2     2
                   9368:           *    15 i=8 1     2     2     2
                   9369:           *    16     2     2     2     2
1.143     brouard  9370:           */
1.212     brouard  9371:   /* How to do the opposite? From combination h (=1 to 2**k) how to get the value on the covariates? */
1.211     brouard  9372:      /* from h=5 and m, we get then number of covariates k=log(m)/log(2)=4
                   9373:      * and the value of each covariate?
                   9374:      * V1=1, V2=1, V3=2, V4=1 ?
                   9375:      * h-1=4 and 4 is 0100 or reverse 0010, and +1 is 1121 ok.
                   9376:      * h=6, 6-1=5, 5 is 0101, 1010, 2121, V1=2nd, V2=1st, V3=2nd, V4=1st.
                   9377:      * In order to get the real value in the data, we use nbcode
                   9378:      * nbcode[Tvar[3][2nd]]=1 and nbcode[Tvar[4][1]]=0
                   9379:      * We are keeping this crazy system in order to be able (in the future?) 
                   9380:      * to have more than 2 values (0 or 1) for a covariate.
                   9381:      * #define codtabm(h,k)  (1 & (h-1) >> (k-1))+1
                   9382:      * h=6, k=2? h-1=5=0101, reverse 1010, +1=2121, k=2nd position: value is 1: codtabm(6,2)=1
                   9383:      *              bbbbbbbb
                   9384:      *              76543210     
                   9385:      *   h-1        00000101 (6-1=5)
1.219     brouard  9386:      *(h-1)>>(k-1)= 00000010 >> (2-1) = 1 right shift
1.211     brouard  9387:      *           &
                   9388:      *     1        00000001 (1)
1.219     brouard  9389:      *              00000000        = 1 & ((h-1) >> (k-1))
                   9390:      *          +1= 00000001 =1 
1.211     brouard  9391:      *
                   9392:      * h=14, k=3 => h'=h-1=13, k'=k-1=2
                   9393:      *          h'      1101 =2^3+2^2+0x2^1+2^0
                   9394:      *    >>k'            11
                   9395:      *          &   00000001
                   9396:      *            = 00000001
                   9397:      *      +1    = 00000010=2    =  codtabm(14,3)   
                   9398:      * Reverse h=6 and m=16?
                   9399:      * cptcoveff=log(16)/log(2)=4 covariate: 6-1=5=0101 reversed=1010 +1=2121 =>V1=2, V2=1, V3=2, V4=1.
                   9400:      * for (j=1 to cptcoveff) Vj=decodtabm(j,h,cptcoveff)
                   9401:      * decodtabm(h,j,cptcoveff)= (((h-1) >> (j-1)) & 1) +1 
                   9402:      * decodtabm(h,j,cptcoveff)= (h <= (1<<cptcoveff)?(((h-1) >> (j-1)) & 1) +1 : -1)
                   9403:      * V3=decodtabm(14,3,2**4)=2
                   9404:      *          h'=13   1101 =2^3+2^2+0x2^1+2^0
                   9405:      *(h-1) >> (j-1)    0011 =13 >> 2
                   9406:      *          &1 000000001
                   9407:      *           = 000000001
                   9408:      *         +1= 000000010 =2
                   9409:      *                  2211
                   9410:      *                  V1=1+1, V2=0+1, V3=1+1, V4=1+1
                   9411:      *                  V3=2
1.220     brouard  9412:                 * codtabm and decodtabm are identical
1.211     brouard  9413:      */
                   9414: 
1.145     brouard  9415: 
                   9416:  free_ivector(Ndum,-1,NCOVMAX);
                   9417: 
                   9418: 
1.126     brouard  9419:     
1.186     brouard  9420:   /* Initialisation of ----------- gnuplot -------------*/
1.126     brouard  9421:   strcpy(optionfilegnuplot,optionfilefiname);
                   9422:   if(mle==-3)
1.201     brouard  9423:     strcat(optionfilegnuplot,"-MORT_");
1.126     brouard  9424:   strcat(optionfilegnuplot,".gp");
                   9425: 
                   9426:   if((ficgp=fopen(optionfilegnuplot,"w"))==NULL) {
                   9427:     printf("Problem with file %s",optionfilegnuplot);
                   9428:   }
                   9429:   else{
1.204     brouard  9430:     fprintf(ficgp,"\n# IMaCh-%s\n", version); 
1.126     brouard  9431:     fprintf(ficgp,"# %s\n", optionfilegnuplot); 
1.141     brouard  9432:     //fprintf(ficgp,"set missing 'NaNq'\n");
                   9433:     fprintf(ficgp,"set datafile missing 'NaNq'\n");
1.126     brouard  9434:   }
                   9435:   /*  fclose(ficgp);*/
1.186     brouard  9436: 
                   9437: 
                   9438:   /* Initialisation of --------- index.htm --------*/
1.126     brouard  9439: 
                   9440:   strcpy(optionfilehtm,optionfilefiname); /* Main html file */
                   9441:   if(mle==-3)
1.201     brouard  9442:     strcat(optionfilehtm,"-MORT_");
1.126     brouard  9443:   strcat(optionfilehtm,".htm");
                   9444:   if((fichtm=fopen(optionfilehtm,"w"))==NULL)    {
1.131     brouard  9445:     printf("Problem with %s \n",optionfilehtm);
                   9446:     exit(0);
1.126     brouard  9447:   }
                   9448: 
                   9449:   strcpy(optionfilehtmcov,optionfilefiname); /* Only for matrix of covariance */
                   9450:   strcat(optionfilehtmcov,"-cov.htm");
                   9451:   if((fichtmcov=fopen(optionfilehtmcov,"w"))==NULL)    {
                   9452:     printf("Problem with %s \n",optionfilehtmcov), exit(0);
                   9453:   }
                   9454:   else{
                   9455:   fprintf(fichtmcov,"<html><head>\n<title>IMaCh Cov %s</title></head>\n <body><font size=\"2\">%s <br> %s</font> \
                   9456: <hr size=\"2\" color=\"#EC5E5E\"> \n\
1.204     brouard  9457: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s<br>\n",\
1.126     brouard  9458:          optionfilehtmcov,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);
                   9459:   }
                   9460: 
1.213     brouard  9461:   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  9462: <hr size=\"2\" color=\"#EC5E5E\"> \n\
                   9463: <font size=\"2\">IMaCh-%s <br> %s</font> \
1.126     brouard  9464: <hr size=\"2\" color=\"#EC5E5E\"> \n\
1.204     brouard  9465: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s<br>\n\
1.126     brouard  9466: \n\
                   9467: <hr  size=\"2\" color=\"#EC5E5E\">\
                   9468:  <ul><li><h4>Parameter files</h4>\n\
                   9469:  - Parameter file: <a href=\"%s.%s\">%s.%s</a><br>\n\
                   9470:  - Copy of the parameter file: <a href=\"o%s\">o%s</a><br>\n\
                   9471:  - Log file of the run: <a href=\"%s\">%s</a><br>\n\
                   9472:  - Gnuplot file name: <a href=\"%s\">%s</a><br>\n\
                   9473:  - Date and time at start: %s</ul>\n",\
                   9474:          optionfilehtm,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model,\
                   9475:          optionfilefiname,optionfilext,optionfilefiname,optionfilext,\
                   9476:          fileres,fileres,\
                   9477:          filelog,filelog,optionfilegnuplot,optionfilegnuplot,strstart);
                   9478:   fflush(fichtm);
                   9479: 
                   9480:   strcpy(pathr,path);
                   9481:   strcat(pathr,optionfilefiname);
1.184     brouard  9482: #ifdef WIN32
                   9483:   _chdir(optionfilefiname); /* Move to directory named optionfile */
                   9484: #else
1.126     brouard  9485:   chdir(optionfilefiname); /* Move to directory named optionfile */
1.184     brouard  9486: #endif
                   9487:          
1.126     brouard  9488:   
1.220     brouard  9489:   /* Calculates basic frequencies. Computes observed prevalence at single age 
                   9490:                 and for any valid combination of covariates
1.126     brouard  9491:      and prints on file fileres'p'. */
1.220     brouard  9492:   freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx, Tvaraff, invalidvarcomb, nbcode, ncodemax,mint,anint,strstart,   \
1.223     brouard  9493:                                                        firstpass, lastpass,  stepm,  weightopt, model);
1.126     brouard  9494: 
                   9495:   fprintf(fichtm,"\n");
                   9496:   fprintf(fichtm,"<br>Total number of observations=%d <br>\n\
                   9497: Youngest age at first (selected) pass %.2f, oldest age %.2f<br>\n\
                   9498: Interval (in months) between two waves: Min=%d Max=%d Mean=%.2lf<br>\n",\
                   9499:          imx,agemin,agemax,jmin,jmax,jmean);
                   9500:   pmmij= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
1.220     brouard  9501:        oldms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
                   9502:        newms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
                   9503:        savms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
                   9504:        oldm=oldms; newm=newms; savm=savms; /* Keeps fixed addresses to free */
1.218     brouard  9505: 
1.126     brouard  9506:   /* For Powell, parameters are in a vector p[] starting at p[1]
                   9507:      so we point p on param[1][1] so that p[1] maps on param[1][1][1] */
                   9508:   p=param[1][1]; /* *(*(*(param +1)+1)+0) */
                   9509: 
                   9510:   globpr=0; /* To get the number ipmx of contributions and the sum of weights*/
1.186     brouard  9511:   /* For mortality only */
1.126     brouard  9512:   if (mle==-3){
1.136     brouard  9513:     ximort=matrix(1,NDIM,1,NDIM); 
1.220     brouard  9514:                for(i=1;i<=NDIM;i++)
                   9515:                        for(j=1;j<=NDIM;j++)
                   9516:                                ximort[i][j]=0.;
1.186     brouard  9517:     /*     ximort=gsl_matrix_alloc(1,NDIM,1,NDIM); */
1.126     brouard  9518:     cens=ivector(1,n);
                   9519:     ageexmed=vector(1,n);
                   9520:     agecens=vector(1,n);
                   9521:     dcwave=ivector(1,n);
1.223     brouard  9522:                
1.126     brouard  9523:     for (i=1; i<=imx; i++){
                   9524:       dcwave[i]=-1;
                   9525:       for (m=firstpass; m<=lastpass; m++)
1.226   ! brouard  9526:        if (s[m][i]>nlstate) {
        !          9527:          dcwave[i]=m;
        !          9528:          /*    printf("i=%d j=%d s=%d dcwave=%d\n",i,j, s[j][i],dcwave[i]);*/
        !          9529:          break;
        !          9530:        }
1.126     brouard  9531:     }
1.226   ! brouard  9532:     
1.126     brouard  9533:     for (i=1; i<=imx; i++) {
                   9534:       if (wav[i]>0){
1.226   ! brouard  9535:        ageexmed[i]=agev[mw[1][i]][i];
        !          9536:        j=wav[i];
        !          9537:        agecens[i]=1.; 
        !          9538:        
        !          9539:        if (ageexmed[i]> 1 && wav[i] > 0){
        !          9540:          agecens[i]=agev[mw[j][i]][i];
        !          9541:          cens[i]= 1;
        !          9542:        }else if (ageexmed[i]< 1) 
        !          9543:          cens[i]= -1;
        !          9544:        if (agedc[i]< AGESUP && agedc[i]>1 && dcwave[i]>firstpass && dcwave[i]<=lastpass)
        !          9545:          cens[i]=0 ;
1.126     brouard  9546:       }
                   9547:       else cens[i]=-1;
                   9548:     }
                   9549:     
                   9550:     for (i=1;i<=NDIM;i++) {
                   9551:       for (j=1;j<=NDIM;j++)
1.226   ! brouard  9552:        ximort[i][j]=(i == j ? 1.0 : 0.0);
1.126     brouard  9553:     }
                   9554:     
1.145     brouard  9555:     /*p[1]=0.0268; p[NDIM]=0.083;*/
1.126     brouard  9556:     /*printf("%lf %lf", p[1], p[2]);*/
                   9557:     
                   9558:     
1.136     brouard  9559: #ifdef GSL
                   9560:     printf("GSL optimization\n");  fprintf(ficlog,"Powell\n");
1.162     brouard  9561: #else
1.126     brouard  9562:     printf("Powell\n");  fprintf(ficlog,"Powell\n");
1.136     brouard  9563: #endif
1.201     brouard  9564:     strcpy(filerespow,"POW-MORT_"); 
                   9565:     strcat(filerespow,fileresu);
1.126     brouard  9566:     if((ficrespow=fopen(filerespow,"w"))==NULL) {
                   9567:       printf("Problem with resultfile: %s\n", filerespow);
                   9568:       fprintf(ficlog,"Problem with resultfile: %s\n", filerespow);
                   9569:     }
1.136     brouard  9570: #ifdef GSL
                   9571:     fprintf(ficrespow,"# GSL optimization\n# iter -2*LL");
1.162     brouard  9572: #else
1.126     brouard  9573:     fprintf(ficrespow,"# Powell\n# iter -2*LL");
1.136     brouard  9574: #endif
1.126     brouard  9575:     /*  for (i=1;i<=nlstate;i++)
                   9576:        for(j=1;j<=nlstate+ndeath;j++)
                   9577:        if(j!=i)fprintf(ficrespow," p%1d%1d",i,j);
                   9578:     */
                   9579:     fprintf(ficrespow,"\n");
1.136     brouard  9580: #ifdef GSL
                   9581:     /* gsl starts here */ 
                   9582:     T = gsl_multimin_fminimizer_nmsimplex;
                   9583:     gsl_multimin_fminimizer *sfm = NULL;
                   9584:     gsl_vector *ss, *x;
                   9585:     gsl_multimin_function minex_func;
                   9586: 
                   9587:     /* Initial vertex size vector */
                   9588:     ss = gsl_vector_alloc (NDIM);
                   9589:     
                   9590:     if (ss == NULL){
                   9591:       GSL_ERROR_VAL ("failed to allocate space for ss", GSL_ENOMEM, 0);
                   9592:     }
                   9593:     /* Set all step sizes to 1 */
                   9594:     gsl_vector_set_all (ss, 0.001);
                   9595: 
                   9596:     /* Starting point */
1.126     brouard  9597:     
1.136     brouard  9598:     x = gsl_vector_alloc (NDIM);
                   9599:     
                   9600:     if (x == NULL){
                   9601:       gsl_vector_free(ss);
                   9602:       GSL_ERROR_VAL ("failed to allocate space for x", GSL_ENOMEM, 0);
                   9603:     }
                   9604:   
                   9605:     /* Initialize method and iterate */
                   9606:     /*     p[1]=0.0268; p[NDIM]=0.083; */
1.186     brouard  9607:     /*     gsl_vector_set(x, 0, 0.0268); */
                   9608:     /*     gsl_vector_set(x, 1, 0.083); */
1.136     brouard  9609:     gsl_vector_set(x, 0, p[1]);
                   9610:     gsl_vector_set(x, 1, p[2]);
                   9611: 
                   9612:     minex_func.f = &gompertz_f;
                   9613:     minex_func.n = NDIM;
                   9614:     minex_func.params = (void *)&p; /* ??? */
                   9615:     
                   9616:     sfm = gsl_multimin_fminimizer_alloc (T, NDIM);
                   9617:     gsl_multimin_fminimizer_set (sfm, &minex_func, x, ss);
                   9618:     
                   9619:     printf("Iterations beginning .....\n\n");
                   9620:     printf("Iter. #    Intercept       Slope     -Log Likelihood     Simplex size\n");
                   9621: 
                   9622:     iteri=0;
                   9623:     while (rval == GSL_CONTINUE){
                   9624:       iteri++;
                   9625:       status = gsl_multimin_fminimizer_iterate(sfm);
                   9626:       
                   9627:       if (status) printf("error: %s\n", gsl_strerror (status));
                   9628:       fflush(0);
                   9629:       
                   9630:       if (status) 
                   9631:         break;
                   9632:       
                   9633:       rval = gsl_multimin_test_size (gsl_multimin_fminimizer_size (sfm), 1e-6);
                   9634:       ssval = gsl_multimin_fminimizer_size (sfm);
                   9635:       
                   9636:       if (rval == GSL_SUCCESS)
                   9637:         printf ("converged to a local maximum at\n");
                   9638:       
                   9639:       printf("%5d ", iteri);
                   9640:       for (it = 0; it < NDIM; it++){
                   9641:        printf ("%10.5f ", gsl_vector_get (sfm->x, it));
                   9642:       }
                   9643:       printf("f() = %-10.5f ssize = %.7f\n", sfm->fval, ssval);
                   9644:     }
                   9645:     
                   9646:     printf("\n\n Please note: Program should be run many times with varying starting points to detemine global maximum\n\n");
                   9647:     
                   9648:     gsl_vector_free(x); /* initial values */
                   9649:     gsl_vector_free(ss); /* inital step size */
                   9650:     for (it=0; it<NDIM; it++){
                   9651:       p[it+1]=gsl_vector_get(sfm->x,it);
                   9652:       fprintf(ficrespow," %.12lf", p[it]);
                   9653:     }
                   9654:     gsl_multimin_fminimizer_free (sfm); /* p *(sfm.x.data) et p *(sfm.x.data+1)  */
                   9655: #endif
                   9656: #ifdef POWELL
                   9657:      powell(p,ximort,NDIM,ftol,&iter,&fret,gompertz);
                   9658: #endif  
1.126     brouard  9659:     fclose(ficrespow);
                   9660:     
1.203     brouard  9661:     hesscov(matcov, hess, p, NDIM, delti, 1e-4, gompertz); 
1.126     brouard  9662: 
                   9663:     for(i=1; i <=NDIM; i++)
                   9664:       for(j=i+1;j<=NDIM;j++)
1.220     brouard  9665:                                matcov[i][j]=matcov[j][i];
1.126     brouard  9666:     
                   9667:     printf("\nCovariance matrix\n ");
1.203     brouard  9668:     fprintf(ficlog,"\nCovariance matrix\n ");
1.126     brouard  9669:     for(i=1; i <=NDIM; i++) {
                   9670:       for(j=1;j<=NDIM;j++){ 
1.220     brouard  9671:                                printf("%f ",matcov[i][j]);
                   9672:                                fprintf(ficlog,"%f ",matcov[i][j]);
1.126     brouard  9673:       }
1.203     brouard  9674:       printf("\n ");  fprintf(ficlog,"\n ");
1.126     brouard  9675:     }
                   9676:     
                   9677:     printf("iter=%d MLE=%f Eq=%lf*exp(%lf*(age-%d))\n",iter,-gompertz(p),p[1],p[2],agegomp);
1.193     brouard  9678:     for (i=1;i<=NDIM;i++) {
1.126     brouard  9679:       printf("%f [%f ; %f]\n",p[i],p[i]-2*sqrt(matcov[i][i]),p[i]+2*sqrt(matcov[i][i]));
1.193     brouard  9680:       fprintf(ficlog,"%f [%f ; %f]\n",p[i],p[i]-2*sqrt(matcov[i][i]),p[i]+2*sqrt(matcov[i][i]));
                   9681:     }
1.126     brouard  9682:     lsurv=vector(1,AGESUP);
                   9683:     lpop=vector(1,AGESUP);
                   9684:     tpop=vector(1,AGESUP);
                   9685:     lsurv[agegomp]=100000;
                   9686:     
                   9687:     for (k=agegomp;k<=AGESUP;k++) {
                   9688:       agemortsup=k;
                   9689:       if (p[1]*exp(p[2]*(k-agegomp))>1) break;
                   9690:     }
                   9691:     
                   9692:     for (k=agegomp;k<agemortsup;k++)
                   9693:       lsurv[k+1]=lsurv[k]-lsurv[k]*(p[1]*exp(p[2]*(k-agegomp)));
                   9694:     
                   9695:     for (k=agegomp;k<agemortsup;k++){
                   9696:       lpop[k]=(lsurv[k]+lsurv[k+1])/2.;
                   9697:       sumlpop=sumlpop+lpop[k];
                   9698:     }
                   9699:     
                   9700:     tpop[agegomp]=sumlpop;
                   9701:     for (k=agegomp;k<(agemortsup-3);k++){
                   9702:       /*  tpop[k+1]=2;*/
                   9703:       tpop[k+1]=tpop[k]-lpop[k];
                   9704:     }
                   9705:     
                   9706:     
                   9707:     printf("\nAge   lx     qx    dx    Lx     Tx     e(x)\n");
                   9708:     for (k=agegomp;k<(agemortsup-2);k++) 
                   9709:       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]);
                   9710:     
                   9711:     
                   9712:     replace_back_to_slash(pathc,pathcd); /* Even gnuplot wants a / */
1.220     brouard  9713:                ageminpar=50;
                   9714:                agemaxpar=100;
1.194     brouard  9715:     if(ageminpar == AGEOVERFLOW ||agemaxpar == AGEOVERFLOW){
                   9716:        printf("Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
                   9717: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   9718: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
                   9719:        fprintf(ficlog,"Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
                   9720: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   9721: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
1.220     brouard  9722:     }else{
                   9723:                        printf("Warning! ageminpar %f and agemaxpar %f have been fixed because for simplification until it is fixed...\n\n",ageminpar,agemaxpar);
                   9724:                        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  9725:       printinggnuplotmort(fileresu, optionfilefiname,ageminpar,agemaxpar,fage, pathc,p);
1.220     brouard  9726:                }
1.201     brouard  9727:     printinghtmlmort(fileresu,title,datafile, firstpass, lastpass, \
1.126     brouard  9728:                     stepm, weightopt,\
                   9729:                     model,imx,p,matcov,agemortsup);
                   9730:     
                   9731:     free_vector(lsurv,1,AGESUP);
                   9732:     free_vector(lpop,1,AGESUP);
                   9733:     free_vector(tpop,1,AGESUP);
1.220     brouard  9734:     free_matrix(ximort,1,NDIM,1,NDIM);
1.136     brouard  9735:     free_ivector(cens,1,n);
                   9736:     free_vector(agecens,1,n);
                   9737:     free_ivector(dcwave,1,n);
1.220     brouard  9738: #ifdef GSL
1.136     brouard  9739: #endif
1.186     brouard  9740:   } /* Endof if mle==-3 mortality only */
1.205     brouard  9741:   /* Standard  */
                   9742:   else{ /* For mle !=- 3, could be 0 or 1 or 4 etc. */
                   9743:     globpr=0;/* Computes sum of likelihood for globpr=1 and funcone */
                   9744:     /* Computes likelihood for initial parameters, uses funcone to compute gpimx and gsw */
1.132     brouard  9745:     likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
1.126     brouard  9746:     printf("First Likeli=%12.6f ipmx=%ld sw=%12.6f",fretone,ipmx,sw);
                   9747:     for (k=1; k<=npar;k++)
                   9748:       printf(" %d %8.5f",k,p[k]);
                   9749:     printf("\n");
1.205     brouard  9750:     if(mle>=1){ /* Could be 1 or 2, Real Maximization */
                   9751:       /* mlikeli uses func not funcone */
                   9752:       mlikeli(ficres,p, npar, ncovmodel, nlstate, ftol, func);
                   9753:     }
                   9754:     if(mle==0) {/* No optimization, will print the likelihoods for the datafile */
                   9755:       globpr=0;/* Computes sum of likelihood for globpr=1 and funcone */
                   9756:       /* Computes likelihood for initial parameters, uses funcone to compute gpimx and gsw */
                   9757:       likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
                   9758:     }
                   9759:     globpr=1; /* again, to print the individual contributions using computed gpimx and gsw */
1.126     brouard  9760:     likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
                   9761:     printf("Second Likeli=%12.6f ipmx=%ld sw=%12.6f",fretone,ipmx,sw);
                   9762:     for (k=1; k<=npar;k++)
                   9763:       printf(" %d %8.5f",k,p[k]);
                   9764:     printf("\n");
                   9765:     
                   9766:     /*--------- results files --------------*/
1.224     brouard  9767:     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  9768:     
                   9769:     
                   9770:     fprintf(ficres,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   9771:     printf("# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   9772:     fprintf(ficlog,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   9773:     for(i=1,jk=1; i <=nlstate; i++){
                   9774:       for(k=1; k <=(nlstate+ndeath); k++){
1.225     brouard  9775:        if (k != i) {
                   9776:          printf("%d%d ",i,k);
                   9777:          fprintf(ficlog,"%d%d ",i,k);
                   9778:          fprintf(ficres,"%1d%1d ",i,k);
                   9779:          for(j=1; j <=ncovmodel; j++){
                   9780:            printf("%12.7f ",p[jk]);
                   9781:            fprintf(ficlog,"%12.7f ",p[jk]);
                   9782:            fprintf(ficres,"%12.7f ",p[jk]);
                   9783:            jk++; 
                   9784:          }
                   9785:          printf("\n");
                   9786:          fprintf(ficlog,"\n");
                   9787:          fprintf(ficres,"\n");
                   9788:        }
1.126     brouard  9789:       }
                   9790:     }
1.203     brouard  9791:     if(mle != 0){
                   9792:       /* Computing hessian and covariance matrix only at a peak of the Likelihood, that is after optimization */
1.126     brouard  9793:       ftolhess=ftol; /* Usually correct */
1.203     brouard  9794:       hesscov(matcov, hess, p, npar, delti, ftolhess, func);
                   9795:       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");
                   9796:       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");
                   9797:       for(i=1,jk=1; i <=nlstate; i++){
1.225     brouard  9798:        for(k=1; k <=(nlstate+ndeath); k++){
                   9799:          if (k != i) {
                   9800:            printf("%d%d ",i,k);
                   9801:            fprintf(ficlog,"%d%d ",i,k);
                   9802:            for(j=1; j <=ncovmodel; j++){
                   9803:              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]));
                   9804:              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]));
                   9805:              jk++; 
                   9806:            }
                   9807:            printf("\n");
                   9808:            fprintf(ficlog,"\n");
                   9809:          }
                   9810:        }
1.193     brouard  9811:       }
1.203     brouard  9812:     } /* end of hesscov and Wald tests */
1.225     brouard  9813:     
1.203     brouard  9814:     /*  */
1.126     brouard  9815:     fprintf(ficres,"# Scales (for hessian or gradient estimation)\n");
                   9816:     printf("# Scales (for hessian or gradient estimation)\n");
                   9817:     fprintf(ficlog,"# Scales (for hessian or gradient estimation)\n");
                   9818:     for(i=1,jk=1; i <=nlstate; i++){
                   9819:       for(j=1; j <=nlstate+ndeath; j++){
1.225     brouard  9820:        if (j!=i) {
                   9821:          fprintf(ficres,"%1d%1d",i,j);
                   9822:          printf("%1d%1d",i,j);
                   9823:          fprintf(ficlog,"%1d%1d",i,j);
                   9824:          for(k=1; k<=ncovmodel;k++){
                   9825:            printf(" %.5e",delti[jk]);
                   9826:            fprintf(ficlog," %.5e",delti[jk]);
                   9827:            fprintf(ficres," %.5e",delti[jk]);
                   9828:            jk++;
                   9829:          }
                   9830:          printf("\n");
                   9831:          fprintf(ficlog,"\n");
                   9832:          fprintf(ficres,"\n");
                   9833:        }
1.126     brouard  9834:       }
                   9835:     }
                   9836:     
                   9837:     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  9838:     if(mle >= 1) /* To big for the screen */
1.126     brouard  9839:       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");
                   9840:     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");
                   9841:     /* # 121 Var(a12)\n\ */
                   9842:     /* # 122 Cov(b12,a12) Var(b12)\n\ */
                   9843:     /* # 131 Cov(a13,a12) Cov(a13,b12, Var(a13)\n\ */
                   9844:     /* # 132 Cov(b13,a12) Cov(b13,b12, Cov(b13,a13) Var(b13)\n\ */
                   9845:     /* # 212 Cov(a21,a12) Cov(a21,b12, Cov(a21,a13) Cov(a21,b13) Var(a21)\n\ */
                   9846:     /* # 212 Cov(b21,a12) Cov(b21,b12, Cov(b21,a13) Cov(b21,b13) Cov(b21,a21) Var(b21)\n\ */
                   9847:     /* # 232 Cov(a23,a12) Cov(a23,b12, Cov(a23,a13) Cov(a23,b13) Cov(a23,a21) Cov(a23,b21) Var(a23)\n\ */
                   9848:     /* # 232 Cov(b23,a12) Cov(b23,b12) ... Var (b23)\n" */
                   9849:     
                   9850:     
                   9851:     /* Just to have a covariance matrix which will be more understandable
                   9852:        even is we still don't want to manage dictionary of variables
                   9853:     */
                   9854:     for(itimes=1;itimes<=2;itimes++){
                   9855:       jj=0;
                   9856:       for(i=1; i <=nlstate; i++){
1.225     brouard  9857:        for(j=1; j <=nlstate+ndeath; j++){
                   9858:          if(j==i) continue;
                   9859:          for(k=1; k<=ncovmodel;k++){
                   9860:            jj++;
                   9861:            ca[0]= k+'a'-1;ca[1]='\0';
                   9862:            if(itimes==1){
                   9863:              if(mle>=1)
                   9864:                printf("#%1d%1d%d",i,j,k);
                   9865:              fprintf(ficlog,"#%1d%1d%d",i,j,k);
                   9866:              fprintf(ficres,"#%1d%1d%d",i,j,k);
                   9867:            }else{
                   9868:              if(mle>=1)
                   9869:                printf("%1d%1d%d",i,j,k);
                   9870:              fprintf(ficlog,"%1d%1d%d",i,j,k);
                   9871:              fprintf(ficres,"%1d%1d%d",i,j,k);
                   9872:            }
                   9873:            ll=0;
                   9874:            for(li=1;li <=nlstate; li++){
                   9875:              for(lj=1;lj <=nlstate+ndeath; lj++){
                   9876:                if(lj==li) continue;
                   9877:                for(lk=1;lk<=ncovmodel;lk++){
                   9878:                  ll++;
                   9879:                  if(ll<=jj){
                   9880:                    cb[0]= lk +'a'-1;cb[1]='\0';
                   9881:                    if(ll<jj){
                   9882:                      if(itimes==1){
                   9883:                        if(mle>=1)
                   9884:                          printf(" Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   9885:                        fprintf(ficlog," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   9886:                        fprintf(ficres," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   9887:                      }else{
                   9888:                        if(mle>=1)
                   9889:                          printf(" %.5e",matcov[jj][ll]); 
                   9890:                        fprintf(ficlog," %.5e",matcov[jj][ll]); 
                   9891:                        fprintf(ficres," %.5e",matcov[jj][ll]); 
                   9892:                      }
                   9893:                    }else{
                   9894:                      if(itimes==1){
                   9895:                        if(mle>=1)
                   9896:                          printf(" Var(%s%1d%1d)",ca,i,j);
                   9897:                        fprintf(ficlog," Var(%s%1d%1d)",ca,i,j);
                   9898:                        fprintf(ficres," Var(%s%1d%1d)",ca,i,j);
                   9899:                      }else{
                   9900:                        if(mle>=1)
                   9901:                          printf(" %.7e",matcov[jj][ll]); 
                   9902:                        fprintf(ficlog," %.7e",matcov[jj][ll]); 
                   9903:                        fprintf(ficres," %.7e",matcov[jj][ll]); 
                   9904:                      }
                   9905:                    }
                   9906:                  }
                   9907:                } /* end lk */
                   9908:              } /* end lj */
                   9909:            } /* end li */
                   9910:            if(mle>=1)
                   9911:              printf("\n");
                   9912:            fprintf(ficlog,"\n");
                   9913:            fprintf(ficres,"\n");
                   9914:            numlinepar++;
                   9915:          } /* end k*/
                   9916:        } /*end j */
1.126     brouard  9917:       } /* end i */
                   9918:     } /* end itimes */
                   9919:     
                   9920:     fflush(ficlog);
                   9921:     fflush(ficres);
1.225     brouard  9922:     while(fgets(line, MAXLINE, ficpar)) {
                   9923:       /* If line starts with a # it is a comment */
                   9924:       if (line[0] == '#') {
                   9925:        numlinepar++;
                   9926:        fputs(line,stdout);
                   9927:        fputs(line,ficparo);
                   9928:        fputs(line,ficlog);
                   9929:        continue;
                   9930:       }else
                   9931:        break;
                   9932:     }
                   9933:     
1.209     brouard  9934:     /* while((c=getc(ficpar))=='#' && c!= EOF){ */
                   9935:     /*   ungetc(c,ficpar); */
                   9936:     /*   fgets(line, MAXLINE, ficpar); */
                   9937:     /*   fputs(line,stdout); */
                   9938:     /*   fputs(line,ficparo); */
                   9939:     /* } */
                   9940:     /* ungetc(c,ficpar); */
1.126     brouard  9941:     
                   9942:     estepm=0;
1.209     brouard  9943:     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  9944:       
                   9945:       if (num_filled != 6) {
                   9946:        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);
                   9947:        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);
                   9948:        goto end;
                   9949:       }
                   9950:       printf("agemin=%lf agemax=%lf bage=%lf fage=%lf estepm=%d ftolpl=%lf\n",ageminpar,agemaxpar, bage, fage, estepm, ftolpl);
                   9951:     }
                   9952:     /* ftolpl=6*ftol*1.e5; /\* 6.e-3 make convergences in less than 80 loops for the prevalence limit *\/ */
                   9953:     /*ftolpl=6.e-4;*/ /* 6.e-3 make convergences in less than 80 loops for the prevalence limit */
                   9954:     
1.209     brouard  9955:     /* fscanf(ficpar,"agemin=%lf agemax=%lf bage=%lf fage=%lf estepm=%d ftolpl=%\n",&ageminpar,&agemaxpar, &bage, &fage, &estepm); */
1.126     brouard  9956:     if (estepm==0 || estepm < stepm) estepm=stepm;
                   9957:     if (fage <= 2) {
                   9958:       bage = ageminpar;
                   9959:       fage = agemaxpar;
                   9960:     }
                   9961:     
                   9962:     fprintf(ficres,"# agemin agemax for life expectancy, bage fage (if mle==0 ie no data nor Max likelihood).\n");
1.211     brouard  9963:     fprintf(ficres,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d ftolpl=%e\n",ageminpar,agemaxpar,bage,fage, estepm, ftolpl);
                   9964:     fprintf(ficparo,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d, ftolpl=%e\n",ageminpar,agemaxpar,bage,fage, estepm, ftolpl);
1.220     brouard  9965:                
1.186     brouard  9966:     /* Other stuffs, more or less useful */    
1.126     brouard  9967:     while((c=getc(ficpar))=='#' && c!= EOF){
                   9968:       ungetc(c,ficpar);
                   9969:       fgets(line, MAXLINE, ficpar);
1.141     brouard  9970:       fputs(line,stdout);
1.126     brouard  9971:       fputs(line,ficparo);
                   9972:     }
                   9973:     ungetc(c,ficpar);
                   9974:     
                   9975:     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);
                   9976:     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);
                   9977:     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);
                   9978:     printf("begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf mov_average=%d\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,mobilav);
                   9979:     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);
                   9980:     
                   9981:     while((c=getc(ficpar))=='#' && c!= EOF){
                   9982:       ungetc(c,ficpar);
                   9983:       fgets(line, MAXLINE, ficpar);
1.141     brouard  9984:       fputs(line,stdout);
1.126     brouard  9985:       fputs(line,ficparo);
                   9986:     }
                   9987:     ungetc(c,ficpar);
                   9988:     
                   9989:     
                   9990:     dateprev1=anprev1+(mprev1-1)/12.+(jprev1-1)/365.;
                   9991:     dateprev2=anprev2+(mprev2-1)/12.+(jprev2-1)/365.;
                   9992:     
                   9993:     fscanf(ficpar,"pop_based=%d\n",&popbased);
1.193     brouard  9994:     fprintf(ficlog,"pop_based=%d\n",popbased);
1.126     brouard  9995:     fprintf(ficparo,"pop_based=%d\n",popbased);   
                   9996:     fprintf(ficres,"pop_based=%d\n",popbased);   
                   9997:     
                   9998:     while((c=getc(ficpar))=='#' && c!= EOF){
                   9999:       ungetc(c,ficpar);
                   10000:       fgets(line, MAXLINE, ficpar);
1.141     brouard  10001:       fputs(line,stdout);
1.126     brouard  10002:       fputs(line,ficparo);
                   10003:     }
                   10004:     ungetc(c,ficpar);
                   10005:     
                   10006:     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);
                   10007:     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);
                   10008:     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);
                   10009:     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);
                   10010:     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);
                   10011:     /* day and month of proj2 are not used but only year anproj2.*/
                   10012:     
1.217     brouard  10013:     while((c=getc(ficpar))=='#' && c!= EOF){
                   10014:       ungetc(c,ficpar);
                   10015:       fgets(line, MAXLINE, ficpar);
                   10016:       fputs(line,stdout);
                   10017:       fputs(line,ficparo);
                   10018:     }
                   10019:     ungetc(c,ficpar);
                   10020:     
                   10021:     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  10022:     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);
                   10023:     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);
                   10024:     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  10025:     /* day and month of proj2 are not used but only year anproj2.*/
1.126     brouard  10026:     
                   10027:     
1.220     brouard  10028:                /* freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint); */
1.145     brouard  10029:     /* ,dateprev1,dateprev2,jprev1, mprev1,anprev1,jprev2, mprev2,anprev2); */
1.126     brouard  10030:     
                   10031:     replace_back_to_slash(pathc,pathcd); /* Even gnuplot wants a / */
1.194     brouard  10032:     if(ageminpar == AGEOVERFLOW ||agemaxpar == -AGEOVERFLOW){
1.220     brouard  10033:                        printf("Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
1.194     brouard  10034: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   10035: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
1.220     brouard  10036:                        fprintf(ficlog,"Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
1.194     brouard  10037: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   10038: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
1.220     brouard  10039:     }else{
1.218     brouard  10040:       printinggnuplot(fileresu, optionfilefiname,ageminpar,agemaxpar,fage, prevfcast, backcast, pathc,p);
1.220     brouard  10041:     }
                   10042:     printinghtml(fileresu,title,datafile, firstpass, lastpass, stepm, weightopt, \
1.225     brouard  10043:                 model,imx,jmin,jmax,jmean,rfileres,popforecast,prevfcast,backcast, estepm, \
                   10044:                 jprev1,mprev1,anprev1,dateprev1,jprev2,mprev2,anprev2,dateprev2);
1.220     brouard  10045:                
1.225     brouard  10046:     /*------------ free_vector  -------------*/
                   10047:     /*  chdir(path); */
1.220     brouard  10048:                
1.215     brouard  10049:     /* free_ivector(wav,1,imx); */  /* Moved after last prevalence call */
                   10050:     /* free_imatrix(dh,1,lastpass-firstpass+2,1,imx); */
                   10051:     /* free_imatrix(bh,1,lastpass-firstpass+2,1,imx); */
                   10052:     /* free_imatrix(mw,1,lastpass-firstpass+2,1,imx);    */
1.126     brouard  10053:     free_lvector(num,1,n);
                   10054:     free_vector(agedc,1,n);
                   10055:     /*free_matrix(covar,0,NCOVMAX,1,n);*/
                   10056:     /*free_matrix(covar,1,NCOVMAX,1,n);*/
                   10057:     fclose(ficparo);
                   10058:     fclose(ficres);
1.220     brouard  10059:                
                   10060:                
1.186     brouard  10061:     /* Other results (useful)*/
1.220     brouard  10062:                
                   10063:                
1.126     brouard  10064:     /*--------------- Prevalence limit  (period or stable prevalence) --------------*/
1.180     brouard  10065:     /*#include "prevlim.h"*/  /* Use ficrespl, ficlog */
                   10066:     prlim=matrix(1,nlstate,1,nlstate);
1.209     brouard  10067:     prevalence_limit(p, prlim,  ageminpar, agemaxpar, ftolpl, &ncvyear);
1.126     brouard  10068:     fclose(ficrespl);
                   10069: 
                   10070:     /*------------- h Pij x at various ages ------------*/
1.180     brouard  10071:     /*#include "hpijx.h"*/
                   10072:     hPijx(p, bage, fage);
1.145     brouard  10073:     fclose(ficrespij);
1.126     brouard  10074: 
1.220     brouard  10075:     /* ncovcombmax=  pow(2,cptcoveff); */
1.219     brouard  10076:     /*-------------- Variance of one-step probabilities---*/
1.145     brouard  10077:     k=1;
1.126     brouard  10078:     varprob(optionfilefiname, matcov, p, delti, nlstate, bage, fage,k,Tvar,nbcode, ncodemax,strstart);
                   10079: 
1.219     brouard  10080:     /* Prevalence for each covariates in probs[age][status][cov] */
1.218     brouard  10081:     probs= ma3x(1,AGESUP,1,nlstate+ndeath, 1,ncovcombmax);
1.126     brouard  10082:     for(i=1;i<=AGESUP;i++)
1.219     brouard  10083:       for(j=1;j<=nlstate+ndeath;j++) /* ndeath is useless but a necessity to be compared with mobaverages */
1.225     brouard  10084:        for(k=1;k<=ncovcombmax;k++)
                   10085:          probs[i][j][k]=0.;
1.219     brouard  10086:     prevalence(probs, ageminpar, agemaxpar, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass);
                   10087:     if (mobilav!=0 ||mobilavproj !=0 ) {
                   10088:       mobaverages= ma3x(1, AGESUP,1,nlstate+ndeath, 1,ncovcombmax);
                   10089:                        for(i=1;i<=AGESUP;i++)
                   10090:                                for(j=1;j<=nlstate;j++)
                   10091:                                        for(k=1;k<=ncovcombmax;k++)
                   10092:                                                mobaverages[i][j][k]=0.;
                   10093:       mobaverage=mobaverages;
                   10094:       if (mobilav!=0) {
1.218     brouard  10095:                                if (movingaverage(probs, ageminpar, agemaxpar, mobaverage, mobilav)!=0){
                   10096:                                        fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
                   10097:                                        printf(" Error in movingaverage mobilav=%d\n",mobilav);
                   10098:                                }
1.219     brouard  10099:       }
                   10100:       /* /\* Prevalence for each covariates in probs[age][status][cov] *\/ */
                   10101:       /* prevalence(probs, ageminpar, agemaxpar, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass); */
                   10102:       else if (mobilavproj !=0) {
1.218     brouard  10103:                                if (movingaverage(probs, ageminpar, agemaxpar, mobaverage, mobilavproj)!=0){
                   10104:                                        fprintf(ficlog," Error in movingaverage mobilavproj=%d\n",mobilavproj);
                   10105:                                        printf(" Error in movingaverage mobilavproj=%d\n",mobilavproj);
                   10106:                                }
1.219     brouard  10107:       }
                   10108:     }/* end if moving average */
                   10109:                
1.126     brouard  10110:     /*---------- Forecasting ------------------*/
                   10111:     /*if((stepm == 1) && (strcmp(model,".")==0)){*/
                   10112:     if(prevfcast==1){
                   10113:       /*    if(stepm ==1){*/
1.225     brouard  10114:       prevforecast(fileresu, anproj1, mproj1, jproj1, agemin, agemax, dateprev1, dateprev2, mobilavproj, bage, fage, firstpass, lastpass, anproj2, p, cptcoveff);
1.126     brouard  10115:     }
1.217     brouard  10116:     if(backcast==1){
1.219     brouard  10117:       ddnewms=matrix(1,nlstate+ndeath,1,nlstate+ndeath);       
                   10118:       ddoldms=matrix(1,nlstate+ndeath,1,nlstate+ndeath);       
                   10119:       ddsavms=matrix(1,nlstate+ndeath,1,nlstate+ndeath);
                   10120: 
                   10121:       /*--------------- Back Prevalence limit  (period or stable prevalence) --------------*/
                   10122: 
                   10123:       bprlim=matrix(1,nlstate,1,nlstate);
                   10124:       back_prevalence_limit(p, bprlim,  ageminpar, agemaxpar, ftolpl, &ncvyear, dateprev1, dateprev2, firstpass, lastpass, mobilavproj);
                   10125:       fclose(ficresplb);
                   10126: 
1.222     brouard  10127:       hBijx(p, bage, fage, mobaverage);
                   10128:       fclose(ficrespijb);
1.219     brouard  10129:       free_matrix(bprlim,1,nlstate,1,nlstate); /*here or after loop ? */
                   10130: 
                   10131:       /* prevbackforecast(fileresu, anback1, mback1, jback1, agemin, agemax, dateprev1, dateprev2, mobilavproj,
1.225     brouard  10132:         bage, fage, firstpass, lastpass, anback2, p, cptcoveff); */
1.219     brouard  10133:       free_matrix(ddnewms, 1, nlstate+ndeath, 1, nlstate+ndeath);
                   10134:       free_matrix(ddsavms, 1, nlstate+ndeath, 1, nlstate+ndeath);
                   10135:       free_matrix(ddoldms, 1, nlstate+ndeath, 1, nlstate+ndeath);
                   10136:     }
1.217     brouard  10137:     
1.186     brouard  10138:  
                   10139:     /* ------ Other prevalence ratios------------ */
1.126     brouard  10140: 
1.215     brouard  10141:     free_ivector(wav,1,imx);
                   10142:     free_imatrix(dh,1,lastpass-firstpass+2,1,imx);
                   10143:     free_imatrix(bh,1,lastpass-firstpass+2,1,imx);
                   10144:     free_imatrix(mw,1,lastpass-firstpass+2,1,imx);   
1.218     brouard  10145:                
                   10146:                
1.127     brouard  10147:     /*---------- Health expectancies, no variances ------------*/
1.218     brouard  10148:                
1.201     brouard  10149:     strcpy(filerese,"E_");
                   10150:     strcat(filerese,fileresu);
1.126     brouard  10151:     if((ficreseij=fopen(filerese,"w"))==NULL) {
                   10152:       printf("Problem with Health Exp. resultfile: %s\n", filerese); exit(0);
                   10153:       fprintf(ficlog,"Problem with Health Exp. resultfile: %s\n", filerese); exit(0);
                   10154:     }
1.208     brouard  10155:     printf("Computing Health Expectancies: result on file '%s' ...", filerese);fflush(stdout);
                   10156:     fprintf(ficlog,"Computing Health Expectancies: result on file '%s' ...", filerese);fflush(ficlog);
1.219     brouard  10157:                
1.225     brouard  10158:     for (k=1; k <= (int) pow(2,cptcoveff); k++){
1.219     brouard  10159:       fprintf(ficreseij,"\n#****** ");
1.225     brouard  10160:       for(j=1;j<=cptcoveff;j++) {
1.220     brouard  10161:                                fprintf(ficreseij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.219     brouard  10162:       }
                   10163:       fprintf(ficreseij,"******\n");
                   10164:       
                   10165:       eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
                   10166:       oldm=oldms;savm=savms;
                   10167:       evsij(eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k, estepm, strstart);  
1.127     brouard  10168:       
1.219     brouard  10169:       free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);
1.127     brouard  10170:     }
                   10171:     fclose(ficreseij);
1.208     brouard  10172:     printf("done evsij\n");fflush(stdout);
                   10173:     fprintf(ficlog,"done evsij\n");fflush(ficlog);
1.218     brouard  10174:                
1.127     brouard  10175:     /*---------- Health expectancies and variances ------------*/
1.218     brouard  10176:                
                   10177:                
1.201     brouard  10178:     strcpy(filerest,"T_");
                   10179:     strcat(filerest,fileresu);
1.127     brouard  10180:     if((ficrest=fopen(filerest,"w"))==NULL) {
                   10181:       printf("Problem with total LE resultfile: %s\n", filerest);goto end;
                   10182:       fprintf(ficlog,"Problem with total LE resultfile: %s\n", filerest);goto end;
                   10183:     }
1.208     brouard  10184:     printf("Computing Total Life expectancies with their standard errors: file '%s' ...\n", filerest); fflush(stdout);
                   10185:     fprintf(ficlog,"Computing Total Life expectancies with their standard errors: file '%s' ...\n", filerest); fflush(ficlog);
1.218     brouard  10186:                
1.126     brouard  10187: 
1.201     brouard  10188:     strcpy(fileresstde,"STDE_");
                   10189:     strcat(fileresstde,fileresu);
1.126     brouard  10190:     if((ficresstdeij=fopen(fileresstde,"w"))==NULL) {
                   10191:       printf("Problem with Health Exp. and std errors resultfile: %s\n", fileresstde); exit(0);
                   10192:       fprintf(ficlog,"Problem with Health Exp. and std errors resultfile: %s\n", fileresstde); exit(0);
                   10193:     }
1.208     brouard  10194:     printf("  Computing Health Expectancies and standard errors: result on file '%s' \n", fileresstde);
                   10195:     fprintf(ficlog,"  Computing Health Expectancies and standard errors: result on file '%s' \n", fileresstde);
1.126     brouard  10196: 
1.201     brouard  10197:     strcpy(filerescve,"CVE_");
                   10198:     strcat(filerescve,fileresu);
1.126     brouard  10199:     if((ficrescveij=fopen(filerescve,"w"))==NULL) {
                   10200:       printf("Problem with Covar. Health Exp. resultfile: %s\n", filerescve); exit(0);
                   10201:       fprintf(ficlog,"Problem with Covar. Health Exp. resultfile: %s\n", filerescve); exit(0);
                   10202:     }
1.208     brouard  10203:     printf("    Computing Covar. of Health Expectancies: result on file '%s' \n", filerescve);
                   10204:     fprintf(ficlog,"    Computing Covar. of Health Expectancies: result on file '%s' \n", filerescve);
1.126     brouard  10205: 
1.201     brouard  10206:     strcpy(fileresv,"V_");
                   10207:     strcat(fileresv,fileresu);
1.126     brouard  10208:     if((ficresvij=fopen(fileresv,"w"))==NULL) {
                   10209:       printf("Problem with variance resultfile: %s\n", fileresv);exit(0);
                   10210:       fprintf(ficlog,"Problem with variance resultfile: %s\n", fileresv);exit(0);
                   10211:     }
1.208     brouard  10212:     printf("      Computing Variance-covariance of DFLEs: file '%s' ... ", fileresv);fflush(stdout);
                   10213:     fprintf(ficlog,"      Computing Variance-covariance of DFLEs: file '%s' ... ", fileresv);fflush(ficlog);
1.126     brouard  10214: 
1.145     brouard  10215:     /*for(cptcov=1,k=0;cptcov<=i1;cptcov++){
                   10216:       for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*/
                   10217:           
1.225     brouard  10218:     for (k=1; k <= (int) pow(2,cptcoveff); k++){
1.208     brouard  10219:       fprintf(ficrest,"\n#****** ");
1.225     brouard  10220:       for(j=1;j<=cptcoveff;j++) 
1.218     brouard  10221:                                fprintf(ficrest,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.208     brouard  10222:       fprintf(ficrest,"******\n");
                   10223:       
                   10224:       fprintf(ficresstdeij,"\n#****** ");
                   10225:       fprintf(ficrescveij,"\n#****** ");
1.225     brouard  10226:       for(j=1;j<=cptcoveff;j++) {
1.218     brouard  10227:                                fprintf(ficresstdeij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10228:                                fprintf(ficrescveij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.208     brouard  10229:       }
                   10230:       fprintf(ficresstdeij,"******\n");
                   10231:       fprintf(ficrescveij,"******\n");
                   10232:       
                   10233:       fprintf(ficresvij,"\n#****** ");
1.225     brouard  10234:       for(j=1;j<=cptcoveff;j++) 
1.218     brouard  10235:                                fprintf(ficresvij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.208     brouard  10236:       fprintf(ficresvij,"******\n");
                   10237:       
                   10238:       eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
                   10239:       oldm=oldms;savm=savms;
                   10240:       printf(" cvevsij %d, ",k);
                   10241:       fprintf(ficlog, " cvevsij %d, ",k);
                   10242:       cvevsij(eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k, estepm, delti, matcov, strstart);
                   10243:       printf(" end cvevsij \n ");
                   10244:       fprintf(ficlog, " end cvevsij \n ");
                   10245:       
                   10246:       /*
                   10247:        */
                   10248:       /* goto endfree; */
                   10249:       
                   10250:       vareij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
                   10251:       pstamp(ficrest);
                   10252:       
                   10253:       
                   10254:       for(vpopbased=0; vpopbased <= popbased; vpopbased++){ /* Done for vpopbased=0 and vpopbased=1 if popbased==1*/
1.220     brouard  10255:                                oldm=oldms;savm=savms; /* ZZ Segmentation fault */
                   10256:                                cptcod= 0; /* To be deleted */
                   10257:                                printf("varevsij %d \n",vpopbased);
                   10258:                                fprintf(ficlog, "varevsij %d \n",vpopbased);
                   10259:                                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 */
                   10260:                                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 ");
                   10261:                                if(vpopbased==1)
                   10262:                                        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);
                   10263:                                else
                   10264:                                        fprintf(ficrest,"the age specific period (stable) prevalences in each health state \n");
                   10265:                                fprintf(ficrest,"# Age popbased mobilav e.. (std) ");
                   10266:                                for (i=1;i<=nlstate;i++) fprintf(ficrest,"e.%d (std) ",i);
                   10267:                                fprintf(ficrest,"\n");
                   10268:                                /* printf("Which p?\n"); for(i=1;i<=npar;i++)printf("p[i=%d]=%lf,",i,p[i]);printf("\n"); */
                   10269:                                epj=vector(1,nlstate+1);
                   10270:                                printf("Computing age specific period (stable) prevalences in each health state \n");
                   10271:                                fprintf(ficlog,"Computing age specific period (stable) prevalences in each health state \n");
                   10272:                                for(age=bage; age <=fage ;age++){
                   10273:                                        prevalim(prlim, nlstate, p, age, oldm, savm, ftolpl, &ncvyear, k); /*ZZ Is it the correct prevalim */
                   10274:                                        if (vpopbased==1) {
                   10275:                                                if(mobilav ==0){
                   10276:                                                        for(i=1; i<=nlstate;i++)
                   10277:                                                                prlim[i][i]=probs[(int)age][i][k];
                   10278:                                                }else{ /* mobilav */ 
                   10279:                                                        for(i=1; i<=nlstate;i++)
                   10280:                                                                prlim[i][i]=mobaverage[(int)age][i][k];
                   10281:                                                }
                   10282:                                        }
1.219     brouard  10283:          
1.220     brouard  10284:                                        fprintf(ficrest," %4.0f %d %d",age, vpopbased, mobilav);
                   10285:                                        /* fprintf(ficrest," %4.0f %d %d %d %d",age, vpopbased, mobilav,Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]); */ /* to be done */
                   10286:                                        /* printf(" age %4.0f ",age); */
                   10287:                                        for(j=1, epj[nlstate+1]=0.;j <=nlstate;j++){
                   10288:                                                for(i=1, epj[j]=0.;i <=nlstate;i++) {
                   10289:                                                        epj[j] += prlim[i][i]*eij[i][j][(int)age];
                   10290:                                                        /*ZZZ  printf("%lf %lf ", prlim[i][i] ,eij[i][j][(int)age]);*/
                   10291:                                                        /* printf("%lf %lf ", prlim[i][i] ,eij[i][j][(int)age]); */
                   10292:                                                }
                   10293:                                                epj[nlstate+1] +=epj[j];
                   10294:                                        }
                   10295:                                        /* printf(" age %4.0f \n",age); */
1.219     brouard  10296:          
1.220     brouard  10297:                                        for(i=1, vepp=0.;i <=nlstate;i++)
                   10298:                                                for(j=1;j <=nlstate;j++)
                   10299:                                                        vepp += vareij[i][j][(int)age];
                   10300:                                        fprintf(ficrest," %7.3f (%7.3f)", epj[nlstate+1],sqrt(vepp));
                   10301:                                        for(j=1;j <=nlstate;j++){
                   10302:                                                fprintf(ficrest," %7.3f (%7.3f)", epj[j],sqrt(vareij[j][j][(int)age]));
                   10303:                                        }
                   10304:                                        fprintf(ficrest,"\n");
                   10305:                                }
1.208     brouard  10306:       } /* End vpopbased */
                   10307:       free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);
                   10308:       free_ma3x(vareij,1,nlstate,1,nlstate,(int) bage, (int)fage);
                   10309:       free_vector(epj,1,nlstate+1);
                   10310:       printf("done \n");fflush(stdout);
                   10311:       fprintf(ficlog,"done\n");fflush(ficlog);
                   10312:       
1.145     brouard  10313:       /*}*/
1.208     brouard  10314:     } /* End k */
1.126     brouard  10315:     free_vector(weight,1,n);
1.145     brouard  10316:     free_imatrix(Tvard,1,NCOVMAX,1,2);
1.126     brouard  10317:     free_imatrix(s,1,maxwav+1,1,n);
                   10318:     free_matrix(anint,1,maxwav,1,n); 
                   10319:     free_matrix(mint,1,maxwav,1,n);
                   10320:     free_ivector(cod,1,n);
                   10321:     free_ivector(tab,1,NCOVMAX);
                   10322:     fclose(ficresstdeij);
                   10323:     fclose(ficrescveij);
                   10324:     fclose(ficresvij);
                   10325:     fclose(ficrest);
1.208     brouard  10326:     printf("done Health expectancies\n");fflush(stdout);
                   10327:     fprintf(ficlog,"done Health expectancies\n");fflush(ficlog);
1.126     brouard  10328:     fclose(ficpar);
                   10329:   
                   10330:     /*------- Variance of period (stable) prevalence------*/   
                   10331: 
1.201     brouard  10332:     strcpy(fileresvpl,"VPL_");
                   10333:     strcat(fileresvpl,fileresu);
1.126     brouard  10334:     if((ficresvpl=fopen(fileresvpl,"w"))==NULL) {
                   10335:       printf("Problem with variance of period (stable) prevalence  resultfile: %s\n", fileresvpl);
                   10336:       exit(0);
                   10337:     }
1.208     brouard  10338:     printf("Computing Variance-covariance of period (stable) prevalence: file '%s' ...", fileresvpl);fflush(stdout);
                   10339:     fprintf(ficlog, "Computing Variance-covariance of period (stable) prevalence: file '%s' ...", fileresvpl);fflush(ficlog);
1.126     brouard  10340: 
1.145     brouard  10341:     /*for(cptcov=1,k=0;cptcov<=i1;cptcov++){
                   10342:       for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*/
                   10343:           
1.225     brouard  10344:     for (k=1; k <= (int) pow(2,cptcoveff); k++){
1.145     brouard  10345:        fprintf(ficresvpl,"\n#****** ");
1.225     brouard  10346:                        for(j=1;j<=cptcoveff;j++) 
1.218     brouard  10347:                                fprintf(ficresvpl,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   10348:                        fprintf(ficresvpl,"******\n");
                   10349:       
                   10350:                        varpl=matrix(1,nlstate,(int) bage, (int) fage);
                   10351:                        oldm=oldms;savm=savms;
                   10352:                        varprevlim(fileres, varpl, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl, &ncvyear, k, strstart);
                   10353:                        free_matrix(varpl,1,nlstate,(int) bage, (int)fage);
1.145     brouard  10354:       /*}*/
1.126     brouard  10355:     }
1.218     brouard  10356:                
1.126     brouard  10357:     fclose(ficresvpl);
1.208     brouard  10358:     printf("done variance-covariance of period prevalence\n");fflush(stdout);
                   10359:     fprintf(ficlog,"done variance-covariance of period prevalence\n");fflush(ficlog);
1.126     brouard  10360: 
                   10361:     /*---------- End : free ----------------*/
1.219     brouard  10362:     if (mobilav!=0 ||mobilavproj !=0)
                   10363:       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  10364:     free_ma3x(probs,1,AGESUP,1,nlstate+ndeath, 1,ncovcombmax);
1.220     brouard  10365:     free_matrix(prlim,1,nlstate,1,nlstate); /*here or after loop ? */
                   10366:     free_matrix(pmmij,1,nlstate+ndeath,1,nlstate+ndeath);
1.126     brouard  10367:   }  /* mle==-3 arrives here for freeing */
1.164     brouard  10368:  /* endfree:*/
1.126     brouard  10369:     free_matrix(oldms, 1,nlstate+ndeath,1,nlstate+ndeath);
                   10370:     free_matrix(newms, 1,nlstate+ndeath,1,nlstate+ndeath);
                   10371:     free_matrix(savms, 1,nlstate+ndeath,1,nlstate+ndeath);
1.224     brouard  10372:     free_ma3x(cotqvar,1,maxwav,1,nqtv,1,n);
1.223     brouard  10373:     free_ma3x(cotvar,1,maxwav,1,ntv,1,n);
                   10374:     free_matrix(coqvar,1,maxwav,1,n);
1.126     brouard  10375:     free_matrix(covar,0,NCOVMAX,1,n);
                   10376:     free_matrix(matcov,1,npar,1,npar);
1.203     brouard  10377:     free_matrix(hess,1,npar,1,npar);
1.126     brouard  10378:     /*free_vector(delti,1,npar);*/
                   10379:     free_ma3x(delti3,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel); 
                   10380:     free_matrix(agev,1,maxwav,1,imx);
                   10381:     free_ma3x(param,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel);
                   10382: 
1.145     brouard  10383:     free_ivector(ncodemax,1,NCOVMAX);
1.192     brouard  10384:     free_ivector(ncodemaxwundef,1,NCOVMAX);
1.226   ! brouard  10385:     free_ivector(Dummy,-1,NCOVMAX);
        !          10386:     free_ivector(Fixed,-1,NCOVMAX);
1.225     brouard  10387:     free_ivector(Typevar,-1,NCOVMAX);
1.145     brouard  10388:     free_ivector(Tvar,1,NCOVMAX);
                   10389:     free_ivector(Tprod,1,NCOVMAX);
                   10390:     free_ivector(Tvaraff,1,NCOVMAX);
1.220     brouard  10391:     free_ivector(invalidvarcomb,1,ncovcombmax);
1.145     brouard  10392:     free_ivector(Tage,1,NCOVMAX);
1.126     brouard  10393: 
                   10394:     free_imatrix(nbcode,0,NCOVMAX,0,NCOVMAX);
1.200     brouard  10395:     /* free_imatrix(codtab,1,100,1,10); */
1.126     brouard  10396:   fflush(fichtm);
                   10397:   fflush(ficgp);
                   10398:   
                   10399: 
                   10400:   if((nberr >0) || (nbwarn>0)){
1.216     brouard  10401:     printf("End of Imach with %d errors and/or %d warnings. Please look at the log file for details.\n",nberr,nbwarn);
                   10402:     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  10403:   }else{
                   10404:     printf("End of Imach\n");
                   10405:     fprintf(ficlog,"End of Imach\n");
                   10406:   }
                   10407:   printf("See log file on %s\n",filelog);
                   10408:   /*  gettimeofday(&end_time, (struct timezone*)0);*/  /* after time */
1.157     brouard  10409:   /*(void) gettimeofday(&end_time,&tzp);*/
                   10410:   rend_time = time(NULL);  
                   10411:   end_time = *localtime(&rend_time);
                   10412:   /* tml = *localtime(&end_time.tm_sec); */
                   10413:   strcpy(strtend,asctime(&end_time));
1.126     brouard  10414:   printf("Local time at start %s\nLocal time at end   %s",strstart, strtend); 
                   10415:   fprintf(ficlog,"Local time at start %s\nLocal time at end   %s\n",strstart, strtend); 
1.157     brouard  10416:   printf("Total time used %s\n", asc_diff_time(rend_time -rstart_time,tmpout));
1.126     brouard  10417: 
1.157     brouard  10418:   printf("Total time was %.0lf Sec.\n", difftime(rend_time,rstart_time));
                   10419:   fprintf(ficlog,"Total time used %s\n", asc_diff_time(rend_time -rstart_time,tmpout));
                   10420:   fprintf(ficlog,"Total time was %.0lf Sec.\n", difftime(rend_time,rstart_time));
1.126     brouard  10421:   /*  printf("Total time was %d uSec.\n", total_usecs);*/
                   10422: /*   if(fileappend(fichtm,optionfilehtm)){ */
                   10423:   fprintf(fichtm,"<br>Local time at start %s<br>Local time at end   %s<br>\n</body></html>",strstart, strtend);
                   10424:   fclose(fichtm);
                   10425:   fprintf(fichtmcov,"<br>Local time at start %s<br>Local time at end   %s<br>\n</body></html>",strstart, strtend);
                   10426:   fclose(fichtmcov);
                   10427:   fclose(ficgp);
                   10428:   fclose(ficlog);
                   10429:   /*------ End -----------*/
                   10430: 
                   10431: 
                   10432:    printf("Before Current directory %s!\n",pathcd);
1.184     brouard  10433: #ifdef WIN32
                   10434:    if (_chdir(pathcd) != 0)
                   10435:           printf("Can't move to directory %s!\n",path);
                   10436:    if(_getcwd(pathcd,MAXLINE) > 0)
                   10437: #else
1.126     brouard  10438:    if(chdir(pathcd) != 0)
1.184     brouard  10439:           printf("Can't move to directory %s!\n", path);
                   10440:    if (getcwd(pathcd, MAXLINE) > 0)
                   10441: #endif 
1.126     brouard  10442:     printf("Current directory %s!\n",pathcd);
                   10443:   /*strcat(plotcmd,CHARSEPARATOR);*/
                   10444:   sprintf(plotcmd,"gnuplot");
1.157     brouard  10445: #ifdef _WIN32
1.126     brouard  10446:   sprintf(plotcmd,"\"%sgnuplot.exe\"",pathimach);
                   10447: #endif
                   10448:   if(!stat(plotcmd,&info)){
1.158     brouard  10449:     printf("Error or gnuplot program not found: '%s'\n",plotcmd);fflush(stdout);
1.126     brouard  10450:     if(!stat(getenv("GNUPLOTBIN"),&info)){
1.158     brouard  10451:       printf("Error or gnuplot program not found: '%s' Environment GNUPLOTBIN not set.\n",plotcmd);fflush(stdout);
1.126     brouard  10452:     }else
                   10453:       strcpy(pplotcmd,plotcmd);
1.157     brouard  10454: #ifdef __unix
1.126     brouard  10455:     strcpy(plotcmd,GNUPLOTPROGRAM);
                   10456:     if(!stat(plotcmd,&info)){
1.158     brouard  10457:       printf("Error gnuplot program not found: '%s'\n",plotcmd);fflush(stdout);
1.126     brouard  10458:     }else
                   10459:       strcpy(pplotcmd,plotcmd);
                   10460: #endif
                   10461:   }else
                   10462:     strcpy(pplotcmd,plotcmd);
                   10463:   
                   10464:   sprintf(plotcmd,"%s %s",pplotcmd, optionfilegnuplot);
1.158     brouard  10465:   printf("Starting graphs with: '%s'\n",plotcmd);fflush(stdout);
1.126     brouard  10466: 
                   10467:   if((outcmd=system(plotcmd)) != 0){
1.158     brouard  10468:     printf("gnuplot command might not be in your path: '%s', err=%d\n", plotcmd, outcmd);
1.154     brouard  10469:     printf("\n Trying if gnuplot resides on the same directory that IMaCh\n");
1.152     brouard  10470:     sprintf(plotcmd,"%sgnuplot %s", pathimach, optionfilegnuplot);
1.150     brouard  10471:     if((outcmd=system(plotcmd)) != 0)
1.153     brouard  10472:       printf("\n Still a problem with gnuplot command %s, err=%d\n", plotcmd, outcmd);
1.126     brouard  10473:   }
1.158     brouard  10474:   printf(" Successful, please wait...");
1.126     brouard  10475:   while (z[0] != 'q') {
                   10476:     /* chdir(path); */
1.154     brouard  10477:     printf("\nType e to edit results with your browser, g to graph again and q for exit: ");
1.126     brouard  10478:     scanf("%s",z);
                   10479: /*     if (z[0] == 'c') system("./imach"); */
                   10480:     if (z[0] == 'e') {
1.158     brouard  10481: #ifdef __APPLE__
1.152     brouard  10482:       sprintf(pplotcmd, "open %s", optionfilehtm);
1.157     brouard  10483: #elif __linux
                   10484:       sprintf(pplotcmd, "xdg-open %s", optionfilehtm);
1.153     brouard  10485: #else
1.152     brouard  10486:       sprintf(pplotcmd, "%s", optionfilehtm);
1.153     brouard  10487: #endif
                   10488:       printf("Starting browser with: %s",pplotcmd);fflush(stdout);
                   10489:       system(pplotcmd);
1.126     brouard  10490:     }
                   10491:     else if (z[0] == 'g') system(plotcmd);
                   10492:     else if (z[0] == 'q') exit(0);
                   10493:   }
                   10494:   end:
                   10495:   while (z[0] != 'q') {
1.195     brouard  10496:     printf("\nType  q for exiting: "); fflush(stdout);
1.126     brouard  10497:     scanf("%s",z);
                   10498:   }
                   10499: }

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